LMFDB - Embedded newform 280.2.br.a.107.24

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			107.24
Character	$\chi$	$=$	280.107
Dual form			280.2.br.a.123.24

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.0874515 - 1.41151i) q^{2} +(0.549269 + 0.147176i) q^{3} +(-1.98470 - 0.246877i) q^{4} +(-2.22431 - 0.229040i) q^{5} +(0.255774 - 0.762426i) q^{6} +(-2.61907 + 0.374780i) q^{7} +(-0.522034 + 2.77983i) q^{8} +(-2.31804 - 1.33832i) q^{9} +O(q^{10})$	\(q+(0.0874515 - 1.41151i) q^{2} +(0.549269 + 0.147176i) q^{3} +(-1.98470 - 0.246877i) q^{4} +(-2.22431 - 0.229040i) q^{5} +(0.255774 - 0.762426i) q^{6} +(-2.61907 + 0.374780i) q^{7} +(-0.522034 + 2.77983i) q^{8} +(-2.31804 - 1.33832i) q^{9} +(-0.517810 + 3.11959i) q^{10} +(-0.117907 - 0.204221i) q^{11} +(-1.05380 - 0.427703i) q^{12} +(-1.40109 - 1.40109i) q^{13} +(0.299963 + 3.72961i) q^{14} +(-1.18803 - 0.453169i) q^{15} +(3.87810 + 0.979955i) q^{16} +(-0.0907359 + 0.338631i) q^{17} +(-2.09177 + 3.15489i) q^{18} +(-4.33718 - 2.50407i) q^{19} +(4.35805 + 1.00371i) q^{20} +(-1.49373 - 0.179610i) q^{21} +(-0.298570 + 0.148567i) q^{22} +(6.36081 - 1.70437i) q^{23} +(-0.695862 + 1.45004i) q^{24} +(4.89508 + 1.01891i) q^{25} +(-2.10018 + 1.85513i) q^{26} +(-2.28254 - 2.28254i) q^{27} +(5.29061 - 0.0972390i) q^{28} -7.86489 q^{29} +(-0.743547 + 1.63729i) q^{30} +(3.36151 - 1.94077i) q^{31} +(1.72236 - 5.38827i) 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} +(-3.91381 + 5.90298i) q^{38} +(-0.563370 - 0.975785i) q^{39} +(1.79786 - 6.06364i) q^{40} -6.42351 q^{41} +(-0.384150 + 2.09271i) q^{42} +(4.12195 - 4.12195i) q^{43} +(0.183593 + 0.434426i) q^{44} +(4.84951 + 3.50776i) q^{45} +(-1.84947 - 9.12737i) q^{46} +(1.95620 + 7.30064i) q^{47} +(1.98589 + 1.10902i) q^{48} +(6.71908 - 1.96315i) q^{49} +(1.86628 - 6.82034i) q^{50} +(-0.0996768 + 0.172645i) q^{51} +(2.43486 + 3.12666i) q^{52} +(-1.76141 + 6.57366i) q^{53} +(-3.42143 + 3.02220i) q^{54} +(0.215486 + 0.481255i) q^{55} +(0.325418 - 7.47624i) q^{56} +(-2.01374 - 2.01374i) q^{57} +(-0.687797 + 11.1014i) q^{58} +(-1.81102 + 1.04559i) q^{59} +(2.24602 + 1.19270i) q^{60} +(-13.2787 - 7.66647i) q^{61} +(-2.44544 - 4.91451i) q^{62} +(6.57269 + 2.63641i) q^{63} +(-7.45496 - 2.90233i) q^{64} +(2.79556 + 3.43737i) q^{65} +(-0.185861 + 0.0376608i) q^{66} +(2.89914 - 10.8197i) q^{67} +(0.263684 - 0.649682i) q^{68} +3.74463 q^{69} +(0.187021 - 8.36451i) q^{70} -7.22719i q^{71} +(4.93041 - 5.74512i) q^{72} +(-9.64846 - 2.58530i) q^{73} +(2.07621 - 0.420701i) q^{74} +(2.53876 + 1.28009i) q^{75} +(7.98983 + 6.04059i) q^{76} +(0.385344 + 0.490680i) q^{77} +(-1.42659 + 0.709867i) q^{78} +(4.98983 - 8.64265i) q^{79} +(-8.40164 - 3.06796i) q^{80} +(3.09717 + 5.36446i) q^{81} +(-0.561745 + 9.06682i) q^{82} +(-4.45701 + 4.45701i) q^{83} +(2.92028 + 0.725241i) q^{84} +(0.279385 - 0.732437i) q^{85} +(-5.45769 - 6.17863i) q^{86} +(-4.31994 - 1.15752i) q^{87} +(0.629251 - 0.221152i) q^{88} +(-5.18325 - 2.99255i) q^{89} +(5.37533 - 6.53835i) q^{90} +(4.19467 + 3.14447i) q^{91} +(-13.0451 + 1.81234i) q^{92} +(2.13200 - 0.571269i) q^{93} +(10.4760 - 2.12274i) q^{94} +(9.07369 + 6.56321i) q^{95} +(1.73906 - 2.70612i) q^{96} +(7.34569 + 7.34569i) q^{97} +(-2.18341 - 9.65571i) 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 $

$2$	0.0874515	−	1.41151i	0.0618375	−	0.998086i
$2$	0.0874515	−	1.41151i	0.0618375	−	0.998086i
$3$	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	$0.530844\pi$
$4$	−1.98470	−	0.246877i	−0.992352	−	0.123438i
$5$	−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
$8$	−0.522034	+	2.77983i	−0.184567	+	0.982820i
$9$	−2.31804	−	1.33832i	−0.772680	−	0.446107i
$10$	−0.517810	+	3.11959i	−0.163746	+	0.986503i
$11$	−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	$0.844652\pi$
$12$	−1.05380	−	0.427703i	−0.304206	−	0.123467i
$13$	−1.40109	−	1.40109i	−0.388594	−	0.388594i	0.485592	−	0.874186i	$-0.338604\pi$
$13$	−1.40109	−	1.40109i	−0.388594	−	0.388594i	−0.874186	+	0.485592i	$0.838604\pi$
$14$	0.299963	+	3.72961i	0.0801684	+	0.996781i
$15$	−1.18803	−	0.453169i	−0.306749	−	0.117008i
$16$	3.87810	+	0.979955i	0.969526	+	0.244989i
$17$	−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	$0.0968699\pi$
$18$	−2.09177	+	3.15489i	−0.493034	+	0.743615i
$19$	−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	$0.861460\pi$
$20$	4.35805	+	1.00371i	0.974489	+	0.224435i
$21$	−1.49373	−	0.179610i	−0.325959	−	0.0391941i
$22$	−0.298570	+	0.148567i	−0.0636554	+	0.0316746i
$23$	6.36081	−	1.70437i	1.32632	−	0.355386i	0.474978	−	0.879998i	$-0.342456\pi$
$23$	6.36081	−	1.70437i	1.32632	−	0.355386i	0.851342	+	0.524611i	$0.175789\pi$
$24$	−0.695862	+	1.45004i	−0.142042	+	0.295989i
$25$	4.89508	+	1.01891i	0.979016	+	0.203782i
$26$	−2.10018	+	1.85513i	−0.411880	+	0.363820i
$27$	−2.28254	−	2.28254i	−0.439274	−	0.439274i
$28$	5.29061	−	0.0972390i	0.999831	−	0.0183764i
$29$	−7.86489			−1.46047			−0.730237	−	0.683194i	$-0.760590\pi$
$29$	−7.86489			−1.46047			−0.730237	+	0.683194i	$0.760590\pi$
$30$	−0.743547	+	1.63729i	−0.135752	+	0.298926i
$31$	3.36151	−	1.94077i	0.603744	−	0.348572i	−0.166769	−	0.985996i	$-0.553333\pi$
$31$	3.36151	−	1.94077i	0.603744	−	0.348572i	0.770513	+	0.637424i	$0.220000\pi$
$32$	1.72236	−	5.38827i	0.304473	−	0.952521i
$33$	−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	0.990444	−	0.137915i	$-0.0440402\pi$
$37$	0.387695	+	1.44690i	0.0637367	+	0.237869i	−0.926707	+	0.375784i	$0.877373\pi$
$38$	−3.91381	+	5.90298i	−0.634904	+	0.957590i
$39$	−0.563370	−	0.975785i	−0.0902114	−	0.156251i
$40$	1.79786	−	6.06364i	0.284266	−	0.958745i
$41$	−6.42351			−1.00318			−0.501592	−	0.865105i	$-0.667252\pi$
$41$	−6.42351			−1.00318			−0.501592	+	0.865105i	$0.667252\pi$
$42$	−0.384150	+	2.09271i	−0.0592756	+	0.322912i
$43$	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	$0.103388\pi$
$44$	0.183593	+	0.434426i	0.0276777	+	0.0654922i
$45$	4.84951	+	3.50776i	0.722922	+	0.522906i
$46$	−1.84947	−	9.12737i	−0.272690	−	1.34576i
$47$	1.95620	+	7.30064i	0.285341	+	1.06491i	0.948590	+	0.316509i	$0.102511\pi$
$47$	1.95620	+	7.30064i	0.285341	+	1.06491i	−0.663248	+	0.748399i	$0.730823\pi$
$48$	1.98589	+	1.10902i	0.286639	+	0.160074i
$49$	6.71908	−	1.96315i	0.959869	−	0.280450i
$50$	1.86628	−	6.82034i	0.263932	−	0.964541i
$51$	−0.0996768	+	0.172645i	−0.0139575	+	0.0241752i
$52$	2.43486	+	3.12666i	0.337655	+	0.433589i
$53$	−1.76141	+	6.57366i	−0.241948	+	0.902961i	0.732945	+	0.680288i	$0.238145\pi$
$53$	−1.76141	+	6.57366i	−0.241948	+	0.902961i	−0.974893	+	0.222674i	$0.928522\pi$
$54$	−3.42143	+	3.02220i	−0.465597	+	0.411270i
$55$	0.215486	+	0.481255i	0.0290562	+	0.0648924i
$56$	0.325418	−	7.47624i	0.0434858	−	0.999054i
$57$	−2.01374	−	2.01374i	−0.266726	−	0.266726i
$58$	−0.687797	+	11.1014i	−0.0903121	+	1.45768i
$59$	−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	$0.376798\pi$
$60$	2.24602	+	1.19270i	0.289960	+	0.153977i
$61$	−13.2787	−	7.66647i	−1.70016	−	0.981591i	−0.945581	−	0.325387i	$-0.894505\pi$
$61$	−13.2787	−	7.66647i	−1.70016	−	0.981591i	−0.754584	−	0.656203i	$-0.772161\pi$
$62$	−2.44544	−	4.91451i	−0.310571	−	0.624144i
$63$	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
$66$	−0.185861	+	0.0376608i	−0.0228779	+	0.00463572i
$67$	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	$-0.156531\pi$
$68$	0.263684	−	0.649682i	0.0319764	−	0.0787855i
$69$	3.74463			0.450801
$70$	0.187021	−	8.36451i	0.0223533	−	0.999750i
$71$		−	7.22719i		−	0.857709i	−0.903374	−	0.428855i	$-0.858917\pi$
$71$		−	7.22719i		−	0.857709i	0.903374	−	0.428855i	$-0.141083\pi$
$72$	4.93041	−	5.74512i	0.581054	−	0.677069i
$73$	−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	$0.782063\pi$
$74$	2.07621	−	0.420701i	0.241355	−	0.0489055i
$75$	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
$78$	−1.42659	+	0.709867i	−0.161530	+	0.0803766i
$79$	4.98983	−	8.64265i	0.561400	−	0.972374i	−0.435974	−	0.899959i	$-0.643596\pi$
$79$	4.98983	−	8.64265i	0.561400	−	0.972374i	0.997375	−	0.0724146i	$-0.0230705\pi$
$80$	−8.40164	−	3.06796i	−0.939332	−	0.343008i
$81$	3.09717	+	5.36446i	0.344130	+	0.596051i
$82$	−0.561745	+	9.06682i	−0.0620344	+	1.00126i
$83$	−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	$0.362437\pi$
$84$	2.92028	+	0.725241i	0.318628	+	0.0791303i
$85$	0.279385	−	0.732437i	0.0303035	−	0.0794440i
$86$	−5.45769	−	6.17863i	−0.588518	−	0.666259i
$87$	−4.31994	−	1.15752i	−0.463146	−	0.124100i
$88$	0.629251	−	0.221152i	0.0670784	−	0.0235748i
$89$	−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	$0.769413\pi$
$90$	5.37533	−	6.53835i	0.566609	−	0.689203i
$91$	4.19467	+	3.14447i	0.439721	+	0.329630i
$92$	−13.0451	+	1.81234i	−1.36004	+	0.188950i
$93$	2.13200	−	0.571269i	0.221079	−	0.0592378i
$94$	10.4760	−	2.12274i	1.08052	−	0.218944i
$95$	9.07369	+	6.56321i	0.930941	+	0.673372i
$96$	1.73906	−	2.70612i	0.177492	−	0.276192i
$97$	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	$0.573171\pi$
$98$	−2.18341	−	9.65571i	−0.220557	−	0.975374i
$99$			0.631189i			0.0634369i
$100$	−9.46375	−	3.23072i	−0.946375	−	0.323072i
$101$	−1.08582	+	0.626901i	−0.108044	+	0.0623790i	−0.553048	−	0.833149i	$-0.686535\pi$
$101$	−1.08582	+	0.626901i	−0.108044	+	0.0623790i	0.445004	+	0.895528i	$0.353202\pi$
$102$	0.234973	+	0.155793i	0.0232658	+	0.0154258i
$103$	5.28081	−	1.41499i	0.520333	−	0.139423i	0.0109125	−	0.999940i	$-0.496526\pi$
$103$	5.28081	−	1.41499i	0.520333	−	0.139423i	0.509421	+	0.860518i	$0.329860\pi$
$104$	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	$0.354889\pi$
$108$	3.96665	+	5.09366i	0.381691	+	0.490138i
$109$	0.0250972	+	0.0434697i	0.00240388	+	0.00416364i	0.867225	−	0.497917i	$-0.165901\pi$
$109$	0.0250972	+	0.0434697i	0.00240388	+	0.00416364i	−0.864821	+	0.502080i	$0.832568\pi$
$110$	0.698139	−	0.262074i	0.0665650	−	0.0249878i
$111$			0.851795i			0.0808488i
$112$	−10.5243	−	1.11314i	−0.994453	−	0.105182i
$113$	−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	$0.406171\pi$
$114$	−3.01851	+	2.66630i	−0.282709	+	0.249722i
$115$	−14.5388	+	2.33417i	−1.35575	+	0.217662i
$116$	15.6095	+	1.94166i	1.44930	+	0.180279i
$117$	1.37268	+	5.12291i	0.126904	+	0.473613i
$118$	1.31748	+	2.64770i	0.121284	+	0.243741i
$119$	0.110732	−	0.920905i	0.0101508	−	0.0844192i
$120$	1.87993	−	3.06596i	0.171613	−	0.279883i
$121$	5.47220	−	9.47812i	0.497472	−	0.861647i
$122$	−11.9825	+	18.0726i	−1.08485	+	1.63621i
$123$	−3.52823	−	0.945386i	−0.318130	−	0.0852426i
$124$	−7.15073	+	3.02197i	−0.642154	+	0.271381i
$125$	−10.6548	−	3.38754i	−0.952994	−	0.302990i
$126$	4.29610	−	9.04685i	0.382727	−	0.805957i
$127$	−2.04418	+	2.04418i	−0.181392	+	0.181392i	−0.791962	−	0.610570i	$-0.790940\pi$
$127$	−2.04418	+	2.04418i	−0.181392	+	0.181392i	0.610570	+	0.791962i	$0.290940\pi$
$128$	−4.74861	+	10.2689i	−0.419722	+	0.907653i
$129$	2.87071	−	1.65740i	0.252752	−	0.145926i
$130$	5.09635	−	3.64535i	0.446979	−	0.319718i
$131$	−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	$0.803819\pi$
$132$	0.0369047	+	0.265637i	0.00321214	+	0.0231207i
$133$	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
$136$	−0.893971	−	0.429008i	−0.0766574	−	0.0367871i
$137$	−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	$0.686391\pi$
$138$	0.327474	−	5.28558i	0.0278764	−	0.449938i
$139$			11.2652i			0.955504i	0.878495	+	0.477752i	$0.158548\pi$
$139$			11.2652i			0.955504i	−0.878495	+	0.477752i	$0.841452\pi$
$140$	−11.7902	−	0.995471i	−0.996455	−	0.0841326i
$141$			4.29792i			0.361950i
$142$	−10.2012	−	0.632028i	−0.856068	−	0.0530386i
$143$	−0.120934	+	0.451331i	−0.0101130	+	0.0377422i
$144$	−7.67811	−	7.46173i	−0.639842	−	0.621810i
$145$	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
$148$	−0.412255	−	2.96738i	−0.0338871	−	0.243917i
$149$	8.05241	−	13.9472i	0.659679	−	1.14260i	−0.321019	−	0.947073i	$-0.604025\pi$
$149$	8.05241	−	13.9472i	0.659679	−	1.14260i	0.980699	−	0.195526i	$-0.0626412\pi$
$150$	2.02888	−	3.47152i	0.165657	−	0.283449i
$151$	−16.3253	+	9.42540i	−1.32853	+	0.767028i	−0.985073	−	0.172139i	$-0.944932\pi$
$151$	−16.3253	+	9.42540i	−1.32853	+	0.767028i	−0.343460	+	0.939167i	$0.611599\pi$
$152$	9.22506	−	10.7494i	0.748252	−	0.871895i
$153$	0.663527	−	0.663527i	0.0536430	−	0.0536430i
$154$	0.726297	−	0.501006i	0.0585267	−	0.0403722i
$155$	−7.92153	+	3.54694i	−0.636273	+	0.284897i
$156$	0.877224	+	2.07573i	0.0702341	+	0.166191i
$157$	4.29418	+	1.15062i	0.342713	+	0.0918296i	0.426070	−	0.904690i	$-0.359898\pi$
$157$	4.29418	+	1.15062i	0.342713	+	0.0918296i	−0.0833575	+	0.996520i	$0.526564\pi$
$158$	−11.7628	−	7.79900i	−0.935797	−	0.620455i
$159$	−1.93497	+	3.35147i	−0.153453	+	0.265789i
$160$	−5.06518	+	11.5907i	−0.400438	+	0.916324i
$161$	−16.0206	+	6.84778i	−1.26260	+	0.539680i
$162$	7.84283	−	3.90255i	0.616191	−	0.306614i
$163$	−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	$-0.197136\pi$
$164$	12.7488	+	1.58581i	0.995511	+	0.123831i
$165$	0.0475307	+	0.296053i	0.00370026	+	0.0230477i
$166$	5.90133	+	6.68088i	0.458032	+	0.518537i
$167$	9.51696	−	9.51696i	0.736444	−	0.736444i	−0.235444	−	0.971888i	$-0.575654\pi$
$167$	9.51696	−	9.51696i	0.736444	−	0.736444i	0.971888	+	0.235444i	$0.0756543\pi$
$168$	1.27906	−	4.05857i	0.0986820	−	0.313125i
$169$		−	9.07387i		−	0.697990i
$170$	−1.00941	−	0.458406i	−0.0774180	−	0.0351581i
$171$	6.70251	+	11.6091i	0.512554	+	0.887769i
$172$	−9.19846	+	7.16324i	−0.701376	+	0.546192i
$173$	11.1000	−	2.97423i	0.843915	−	0.226126i	0.189140	−	0.981950i	$-0.439430\pi$
$173$	11.1000	−	2.97423i	0.843915	−	0.226126i	0.654775	+	0.755824i	$0.272763\pi$
$174$	−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
$178$	−4.67729	+	7.05449i	−0.350577	+	0.528756i
$179$	−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	$0.336755\pi$
$180$	−8.75885	−	8.15910i	−0.652846	−	0.608143i
$181$		−	7.48437i		−	0.556309i	−0.960536	−	0.278155i	$-0.910277\pi$
$181$		−	7.48437i		−	0.556309i	0.960536	−	0.278155i	$-0.0897227\pi$
$182$	4.80527	−	5.64582i	0.356190	−	0.418496i
$183$	−6.16526	−	6.16526i	−0.455749	−	0.455749i
$184$	1.41732	+	18.5717i	0.104486	+	1.36913i
$185$	−0.530956	−	3.30714i	−0.0390366	−	0.243146i
$186$	−0.619903	−	3.05930i	−0.0454535	−	0.224319i
$187$	0.0798539	−	0.0213968i	0.00583949	−	0.00156469i
$188$	−2.08012	−	14.9726i	−0.151709	−	1.09199i
$189$	6.83357	+	5.12268i	0.497069	+	0.372620i
$190$	10.0575	−	12.2336i	0.729650	−	0.887520i
$191$	−2.80382	−	1.61879i	−0.202877	−	0.117131i	0.395120	−	0.918630i	$-0.370703\pi$
$191$	−2.80382	−	1.61879i	−0.202877	−	0.117131i	−0.597997	+	0.801498i	$0.704036\pi$
$192$	−3.66762	−	2.69135i	−0.264688	−	0.194232i
$193$	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	$0.577986\pi$
$194$	11.0109	−	9.72610i	0.790536	−	0.698294i
$195$	1.02961	+	2.29948i	0.0737322	+	0.164669i
$196$	−13.8200	+	2.23749i	−0.987146	+	0.159821i
$197$	−1.22709	+	1.22709i	−0.0874263	+	0.0874263i	−0.749467	−	0.662041i	$-0.769690\pi$
$197$	−1.22709	+	1.22709i	−0.0874263	+	0.0874263i	0.662041	+	0.749467i	$0.269690\pi$
$198$	0.890928	+	0.0551984i	0.0633155	+	0.00392278i
$199$	5.55321	+	9.61845i	0.393657	+	0.681834i	0.992929	−	0.118712i	$-0.0378765\pi$
$199$	5.55321	+	9.61845i	0.393657	+	0.681834i	−0.599272	+	0.800546i	$0.704543\pi$
$200$	−5.38780	+	13.0756i	−0.380975	+	0.924585i
$201$	3.18482	−	5.51626i	0.224640	−	0.389087i
$202$	0.789918	+	1.58747i	0.0555785	+	0.111694i
$203$	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
$206$	−1.53545	−	7.57764i	−0.106980	−	0.527959i
$207$	−17.0256	−	4.56200i	−1.18336	−	0.317081i
$208$	−4.06058	−	6.80660i	−0.281551	−	0.471953i
$209$			1.18099i			0.0816908i
$210$	1.33378	−	4.56684i	0.0920396	−	0.315142i
$211$	24.0982			1.65899			0.829493	−	0.558517i	$-0.188630\pi$
$211$	24.0982			1.65899			0.829493	+	0.558517i	$0.188630\pi$
$212$	5.11875	−	12.6119i	0.351557	−	0.866190i
$213$	1.06367	−	3.96967i	0.0728814	−	0.271997i
$214$	−1.12060	−	5.53028i	−0.0766024	−	0.378042i
$215$	−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
$218$	0.0635525	−	0.0316234i	0.00430432	−	0.00214181i
$219$	−4.91910	−	2.84005i	−0.332402	−	0.191912i
$220$	−0.308866	−	1.00835i	−0.0208238	−	0.0679828i
$221$	0.601584	−	0.347325i	0.0404669	−	0.0233636i
$222$	1.20232	+	0.0744908i	0.0806941	+	0.00499949i
$223$	−17.7237	−	17.7237i	−1.18687	−	1.18687i	−0.977929	−	0.208938i	$-0.932999\pi$
$223$	−17.7237	−	17.7237i	−1.18687	−	1.18687i	−0.208938	−	0.977929i	$-0.567001\pi$
$224$	−2.49157	+	14.7578i	−0.166475	+	0.986046i
$225$	−9.98337	−	8.91307i	−0.665558	−	0.594205i
$226$	9.37876	+	10.6177i	0.623866	+	0.706276i
$227$	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	$-0.146217\pi$
$228$	3.49953	+	4.49382i	0.231762	+	0.297611i
$229$	−1.87640	+	3.25001i	−0.123996	+	0.214767i	−0.921340	−	0.388758i	$-0.872904\pi$
$229$	−1.87640	+	3.25001i	−0.123996	+	0.214767i	0.797344	+	0.603525i	$0.206238\pi$
$230$	2.02326	+	20.7257i	0.133410	+	1.36661i
$231$	0.139441	+	0.326228i	0.00917456	+	0.0214643i
$232$	4.10574	−	21.8631i	0.269555	−	1.43538i
$233$	−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	$-0.368384\pi$
$234$	7.35107	−	1.48954i	0.480554	−	0.0973744i
$235$	−2.67905	−	16.6869i	−0.174762	−	1.08853i
$236$	3.85247	−	1.62809i	0.250774	−	0.105980i
$237$	4.01275	−	4.01275i	0.260656	−	0.260656i
$238$	−1.29018	−	0.236833i	−0.0836300	−	0.0153516i
$239$	1.06392			0.0688192			0.0344096	−	0.999408i	$-0.489045\pi$
$239$	1.06392			0.0688192			0.0344096	+	0.999408i	$0.489045\pi$
$240$	−4.16323	−	2.92166i	−0.268735	−	0.188592i
$241$	−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	$-0.353534\pi$
$242$	−12.8999	−	8.55292i	−0.829236	−	0.549802i
$243$	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
$248$	3.64019	+	10.3576i	0.231152	+	0.657707i
$249$	−3.10406	+	1.79213i	−0.196712	+	0.113572i
$250$	−5.71331	+	14.7431i	−0.361341	+	0.932434i
$251$	−20.6170			−1.30133			−0.650667	−	0.759363i	$-0.725510\pi$
$251$	−20.6170			−1.30133			−0.650667	+	0.759363i	$0.725510\pi$
$252$	−12.3940	−	6.85513i	−0.780748	−	0.431833i
$253$	−1.09805	−	1.09805i	−0.0690339	−	0.0690339i
$254$	2.70661	+	3.06415i	0.169828	+	0.192262i
$255$	0.261254	−	0.361186i	0.0163604	−	0.0226183i
$256$	14.0794	+	7.60073i	0.879961	+	0.475046i
$257$	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	$0.264338\pi$
$258$	−2.08839	−	4.19697i	−0.130018	−	0.261292i
$259$	−1.55767	−	3.64423i	−0.0967889	−	0.226442i
$260$	−4.69975	−	7.51232i	−0.291466	−	0.465895i
$261$	18.2311	+	10.5258i	1.12848	+	0.651528i
$262$	24.5150	+	16.2540i	1.51454	+	1.00418i
$263$	−2.87729	+	10.7382i	−0.177421	+	0.662145i	0.818705	+	0.574214i	$0.194692\pi$
$263$	−2.87729	+	10.7382i	−0.177421	+	0.662145i	−0.996127	+	0.0879311i	$0.971974\pi$
$264$	0.378176	−	0.0288609i	0.0232751	−	0.00177626i
$265$	5.42354	−	14.2184i	0.333165	−	0.873429i
$266$	8.03824	−	16.9271i	0.492856	−	1.03787i
$267$	−2.40656	−	2.40656i	−0.147279	−	0.147279i
$268$	−8.42508	+	20.7583i	−0.514644	+	1.26801i
$269$	−8.16212	−	14.1372i	−0.497653	−	0.861961i	0.502343	−	0.864668i	$-0.332471\pi$
$269$	−8.16212	−	14.1372i	−0.497653	−	0.861961i	−0.999996	+	0.00270756i	$0.999138\pi$
$270$	8.30251	−	5.93867i	0.505274	−	0.361416i
$271$	−17.0844	−	9.86369i	−1.03780	−	0.599176i	−0.118593	−	0.992943i	$-0.537839\pi$
$271$	−17.0844	−	9.86369i	−1.03780	−	0.599176i	−0.919210	+	0.393767i	$0.871172\pi$
$272$	−0.683726	+	1.22433i	−0.0414570	+	0.0742359i
$273$	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
$276$	−7.43199	−	0.924463i	−0.447353	−	0.0556461i
$277$	18.8999	+	5.06421i	1.13558	+	0.304279i	0.777174	−	0.629285i	$-0.216652\pi$
$277$	18.8999	+	5.06421i	1.13558	+	0.304279i	0.358410	+	0.933564i	$0.383319\pi$
$278$	15.9009	+	0.985160i	0.953675	+	0.0590860i
$279$	−10.3895			−0.622002
$280$	−2.43619	+	16.5549i	−0.145590	+	0.989345i
$281$	−8.90994			−0.531523			−0.265761	−	0.964039i	$-0.585623\pi$
$281$	−8.90994			−0.531523			−0.265761	+	0.964039i	$0.585623\pi$
$282$	6.06654	+	0.375859i	0.361257	+	0.0223821i
$283$	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	$0.370349\pi$
$284$	−1.78422	+	14.3438i	−0.105874	+	0.851150i
$285$	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
$288$	−11.2037	+	10.1852i	−0.660187	+	0.600167i
$289$	14.6160	+	8.43855i	0.859764	+	0.496385i
$290$	4.07252	−	24.5353i	0.239147	−	1.44076i
$291$	2.95365	+	5.11587i	0.173146	+	0.299897i
$292$	18.5111	+	7.51303i	1.08328	+	0.439667i
$293$	−8.26470	−	8.26470i	−0.482829	−	0.482829i	0.423205	−	0.906034i	$-0.360905\pi$
$293$	−8.26470	−	8.26470i	−0.482829	−	0.482829i	−0.906034	+	0.423205i	$0.860905\pi$
$294$	0.221812	−	5.62492i	0.0129364	−	0.328052i
$295$	4.26774	−	1.91092i	0.248477	−	0.111258i
$296$	−4.22453	+	0.322399i	−0.245546	+	0.0187391i
$297$	−0.197014	+	0.735268i	−0.0114319	+	0.0426646i
$298$	−18.9824	−	12.5857i	−1.09962	−	0.729072i
$299$	−11.3001	−	6.52410i	−0.653501	−	0.377299i
$300$	−4.72265	−	3.16737i	−0.272663	−	0.182868i
$301$	−9.25086	+	12.3405i	−0.533211	+	0.711295i
$302$	11.8764	+	23.8675i	0.683407	+	1.37342i
$303$	−0.688674	+	0.184530i	−0.0395633	+	0.0106010i
$304$	−14.3662	−	13.9613i	−0.823956	−	0.800735i
$305$	27.7800	+	20.0939i	1.59068	+	1.15058i
$306$	−0.878546	−	0.994599i	−0.0502232	−	0.0568575i
$307$	−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	$0.840300\pi$
$308$	−0.643657	−	1.06899i	−0.0366758	−	0.0609112i
$309$	3.10883			0.176855
$310$	4.31378	+	11.4915i	0.245006	+	0.652673i
$311$	22.0089	−	12.7069i	1.24801	−	0.720540i	0.277299	−	0.960784i	$-0.410561\pi$
$311$	22.0089	−	12.7069i	1.24801	−	0.720540i	0.970712	+	0.240244i	$0.0772275\pi$
$312$	3.00662	−	1.05668i	0.170216	−	0.0598228i
$313$	−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	0.988413	−	0.151786i	$-0.0485026\pi$
$317$	1.00647	+	3.75620i	0.0565291	+	0.210969i	−0.931884	+	0.362756i	$0.881836\pi$
$318$	4.56140	+	3.02431i	0.255791	+	0.169595i
$319$	0.927325	+	1.60617i	0.0519202	+	0.0899285i
$320$	15.9174	+	8.16317i	0.889808	+	0.456335i
$321$	2.26888			0.126636
$322$	8.26466	+	23.2121i	0.460571	+	1.29356i
$323$	1.24150	−	1.24150i	0.0690786	−	0.0690786i
$324$	−4.82261	−	11.4115i	−0.267923	−	0.633972i
$325$	−5.43088	−	8.28606i	−0.301251	−	0.459628i
$326$	−12.3855	+	2.50966i	−0.685968	+	0.138997i
$327$	0.00738742	+	0.0275702i	0.000408525	+	0.00152464i
$328$	3.35329	−	17.8563i	0.185154	−	0.985948i
$329$	−7.85957	−	18.3878i	−0.433312	−	1.01375i
$330$	0.422037	−	0.0411997i	0.0232324	−	0.00226797i
$331$	−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	$0.167462\pi$
$332$	9.94619	−	7.74552i	0.545868	−	0.425091i
$333$	1.03772	−	3.87283i	0.0568668	−	0.212230i
$334$	−12.6010	−	14.2655i	−0.689495	−	0.780575i
$335$	−8.92673	+	23.4024i	−0.487720	+	1.27861i
$336$	−5.61684	−	2.16034i	−0.306424	−	0.117856i
$337$	−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	$0.826663\pi$
$338$	−12.8078	−	0.793523i	−0.696654	−	0.0431620i
$339$	−4.93316	+	2.84816i	−0.267933	+	0.154691i
$340$	−0.735317	+	1.38470i	−0.0398782	+	0.0750958i
$341$	−0.792689	−	0.457659i	−0.0429265	−	0.0247836i
$342$	16.9725	−	8.44541i	0.917765	−	0.456675i
$343$	−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
$346$	−3.22743	−	15.9278i	−0.173508	−	0.856283i
$347$	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	$-0.0815116\pi$
$348$	8.28804	+	3.36384i	0.444285	+	0.180321i
$349$	11.6253			0.622288			0.311144	−	0.950363i	$-0.399288\pi$
$349$	11.6253			0.622288			0.311144	+	0.950363i	$0.399288\pi$
$350$	−2.33180	+	18.5624i	−0.124640	+	0.992202i
$351$			6.39610i			0.341398i
$352$	−1.30347	+	0.283573i	−0.0694754	+	0.0151145i
$353$	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	$0.363556\pi$
$354$	0.333974	+	1.64820i	0.0177505	+	0.0876009i
$355$	−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
$358$	0.181218	+	0.364188i	0.00957768	+	0.0192479i
$359$	−8.28498	+	14.3500i	−0.437265	+	0.757365i	−0.997477	−	0.0709840i	$-0.977386\pi$
$359$	−8.28498	+	14.3500i	−0.437265	+	0.757365i	0.560213	+	0.828349i	$0.310719\pi$
$360$	−12.2826	+	11.6497i	−0.647350	+	0.613991i
$361$	3.04077	+	5.26676i	0.160040	+	0.277198i
$362$	−10.5642	−	0.654520i	−0.555244	−	0.0344008i
$363$	4.40066	−	4.40066i	0.230975	−	0.230975i
$364$	−7.54889	−	7.27640i	−0.395669	−	0.381387i
$365$	20.8690	+	7.96038i	1.09233	+	0.416665i
$366$	−9.24147	+	8.16315i	−0.483059	+	0.426694i
$367$	−21.9308	−	5.87635i	−1.14478	−	0.306743i	−0.363909	−	0.931435i	$-0.618558\pi$
$367$	−21.9308	−	5.87635i	−1.14478	−	0.306743i	−0.780872	+	0.624691i	$0.785225\pi$
$368$	26.3381	−	0.376432i	1.37297	−	0.0196229i
$369$	14.8899	+	8.59672i	0.775140	+	0.447527i
$370$	−4.71449	+	0.460233i	−0.245095	+	0.0239264i
$371$	2.14958	−	17.8770i	0.111600	−	0.928129i
$372$	−4.37243	+	0.607457i	−0.226700	+	0.0314952i
$373$	−29.5248	+	7.91115i	−1.52874	+	0.409624i	−0.922607	−	0.385741i	$-0.873946\pi$
$373$	−29.5248	+	7.91115i	−1.52874	+	0.409624i	−0.606130	+	0.795365i	$0.707279\pi$
$374$	−0.0232184	−	0.114585i	−0.00120059	−	0.00592507i
$375$	−5.35378	−	3.42880i	−0.276468	−	0.177062i
$376$	−21.3158	+	1.62674i	−1.09928	+	0.0838925i
$377$	11.0195	+	11.0195i	0.567531	+	0.567531i
$378$	7.82830	−	9.19765i	0.402644	−	0.473076i
$379$			19.6852i			1.01116i	0.862779	+	0.505581i	$0.168722\pi$
$379$			19.6852i			1.01116i	−0.862779	+	0.505581i	$0.831278\pi$
$380$	−16.3883	−	15.2661i	−0.840702	−	0.783136i
$381$	−1.42366	+	0.821951i	−0.0729363	+	0.0421098i
$382$	−2.53013	+	3.81604i	−0.129452	+	0.195246i
$383$	3.47523	−	0.931184i	0.177576	−	0.0475813i	−0.168935	−	0.985627i	$-0.554033\pi$
$383$	3.47523	−	0.931184i	0.177576	−	0.0475813i	0.346511	+	0.938046i	$0.387366\pi$
$384$	−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
$388$	−12.7655	−	16.3925i	−0.648072	−	0.832203i
$389$	−12.5241	−	21.6924i	−0.634999	−	1.09985i	−0.986515	−	0.163669i	$-0.947667\pi$
$389$	−12.5241	−	21.6924i	−0.634999	−	1.09985i	0.351517	−	0.936182i	$-0.385666\pi$
$390$	3.33577	−	1.25221i	0.168913	−	0.0634083i
$391$			2.30861i			0.116752i
$392$	1.94965	+	19.7028i	0.0984721	+	0.995140i
$393$	−8.36304	+	8.36304i	−0.421860	+	0.421860i
$394$	1.62473	+	1.83935i	0.0818528	+	0.0926652i
$395$	−13.0784	+	18.0810i	−0.658047	+	0.909755i
$396$	0.155826	−	1.25272i	0.00783055	−	0.0629518i
$397$	−1.88470	−	7.03379i	−0.0945903	−	0.353016i	0.902367	−	0.430969i	$-0.141828\pi$
$397$	−1.88470	−	7.03379i	−0.0945903	−	0.353016i	−0.996957	+	0.0779533i	$0.975162\pi$
$398$	14.0621	−	6.99725i	0.704871	−	0.350741i
$399$	6.02883	+	4.51942i	0.301819	+	0.226254i
$400$	17.9851	+	8.74840i	0.899257	+	0.437420i
$401$	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	$0.00368050\pi$
$402$	−7.50773	−	4.97779i	−0.374451	−	0.248270i
$403$	−7.42899	−	1.99059i	−0.370064	−	0.0991584i
$404$	2.30981	−	0.976149i	0.114917	−	0.0485652i
$405$	−5.66039	−	12.6416i	−0.281267	−	0.628166i
$406$	−2.35917	−	29.3330i	−0.117084	−	1.45577i
$407$	0.249775	−	0.249775i	0.0123809	−	0.0123809i
$408$	−0.427891	−	0.367212i	−0.0211837	−	0.0181797i
$409$	−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	$0.448654\pi$
$410$	3.32616	−	20.0387i	0.164267	−	0.989643i
$411$	−6.31001	+	10.9293i	−0.311250	+	0.539100i
$412$	−10.8302	+	1.50462i	−0.533564	+	0.0741275i
$413$	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
$416$	−9.96267	+	5.13629i	−0.488460	+	0.251827i
$417$	−1.65797	+	6.18763i	−0.0811912	+	0.303010i
$418$	1.66698	+	0.103279i	0.0815344	+	0.00505156i
$419$		−	8.68986i		−	0.424528i	−0.977212	−	0.212264i	$-0.931916\pi$
$419$		−	8.68986i		−	0.424528i	0.977212	−	0.212264i	$-0.0680836\pi$
$420$	−6.32948	−	2.28202i	−0.308847	−	0.111351i
$421$		−	4.25382i		−	0.207318i	−0.994613	−	0.103659i	$-0.966945\pi$
$421$		−	4.25382i		−	0.207318i	0.994613	−	0.103659i	$-0.0330551\pi$
$422$	2.10742	−	34.0147i	0.102588	−	1.65581i
$423$	5.23605	−	19.5412i	0.254586	−	0.950126i
$424$	−17.3542	−	8.32809i	−0.842793	−	0.404448i
$425$	−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
$428$	−7.90403	+	1.09810i	−0.382056	+	0.0530786i
$429$	−0.132850	+	0.230104i	−0.00641407	+	0.0111095i
$430$	10.7244	+	14.9932i	0.517178	+	0.723036i
$431$	12.2368	−	7.06494i	0.589427	−	0.340306i	−0.175444	−	0.984489i	$-0.556136\pi$
$431$	12.2368	−	7.06494i	0.589427	−	0.340306i	0.764871	+	0.644183i	$0.222803\pi$
$432$	−6.61513	−	11.0887i	−0.318271	−	0.533505i
$433$	−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	$0.458685\pi$
$434$	8.24664	+	11.9550i	0.395851	+	0.573857i
$435$	9.34375	+	3.56413i	0.447999	+	0.170887i
$436$	−0.0390789	−	0.0924704i	−0.00187154	−	0.00442853i
$437$	−31.8558	−	8.53575i	−1.52387	−	0.408320i
$438$	−4.43893	+	6.69498i	−0.212100	+	0.319899i
$439$	19.6532	−	34.0403i	0.937996	−	1.62466i	0.168793	−	0.985651i	$-0.446013\pi$
$439$	19.6532	−	34.0403i	0.937996	−	1.62466i	0.769203	−	0.639005i	$-0.220654\pi$
$440$	−1.45030	+	0.347785i	−0.0691403	+	0.0165800i
$441$	−18.2024	−	4.44163i	−0.866782	−	0.211506i
$442$	−0.437642	−	0.879514i	−0.0208165	−	0.0418342i
$443$	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	$0.850859\pi$
$444$	0.210288	−	1.69056i	0.00997985	−	0.0802305i
$445$	10.8437	+	7.84352i	0.514041	+	0.371818i
$446$	−26.5671	+	23.4672i	−1.25799	+	1.11120i
$447$	6.47563	−	6.47563i	0.306287	−	0.306287i
$448$	20.6128	+	4.80746i	0.973864	+	0.227131i
$449$			34.5127i			1.62875i	0.580336	+	0.814377i	$0.302921\pi$
$449$			34.5127i			1.62875i	−0.580336	+	0.814377i	$0.697079\pi$
$450$	−13.4539	+	13.3121i	−0.634224	+	0.627540i
$451$	0.757375	+	1.31181i	0.0356634	+	0.0617708i
$452$	15.8071	−	12.3097i	0.743503	−	0.578997i
$453$	−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	$0.706249\pi$
$458$	4.42332	+	2.93276i	0.206688	+	0.137039i
$459$	0.980045	−	0.565830i	0.0457446	−	0.0264107i
$460$	29.4314	−	1.04336i	1.37225	−	0.0486468i
$461$			35.9674i			1.67517i	0.546309	+	0.837584i	$0.316032\pi$
$461$			35.9674i			1.67517i	−0.546309	+	0.837584i	$0.683968\pi$
$462$	0.472668	−	0.168293i	0.0219905	−	0.00782971i
$463$	3.33739	+	3.33739i	0.155102	+	0.155102i	0.780392	−	0.625290i	$-0.215019\pi$
$463$	3.33739	+	3.33739i	0.155102	+	0.155102i	−0.625290	+	0.780392i	$0.715019\pi$
$464$	−30.5009	−	7.70724i	−1.41597	−	0.357800i
$465$	−4.87307	+	0.782363i	−0.225983	+	0.0362812i
$466$	−33.0275	+	6.69233i	−1.52997	+	0.310016i
$467$	−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	$0.503723\pi$
$468$	−1.45964	−	10.5063i	−0.0674717	−	0.485656i
$469$	−3.53804	+	29.4242i	−0.163372	+	1.35869i
$470$	−23.7880	+	2.32221i	−1.09726	+	0.107115i
$471$	2.18931	+	1.26400i	0.100878	+	0.0582421i
$472$	−1.96116	−	5.58016i	−0.0902696	−	0.256848i
$473$	−1.32779	−	0.355781i	−0.0610520	−	0.0163588i
$474$	−5.31310	−	6.01495i	−0.244039	−	0.276276i
$475$	−18.6794	−	16.6768i	−0.857071	−	0.765186i
$476$	−0.447120	+	1.80039i	−0.0204937	+	0.0825206i
$477$	12.8807	−	12.8807i	0.589766	−	0.589766i
$478$	0.0930413	−	1.50173i	0.00425561	−	0.0686875i
$479$	6.17419	+	10.6940i	0.282106	+	0.488621i	0.971903	−	0.235381i	$-0.0756338\pi$
$479$	6.17419	+	10.6940i	0.282106	+	0.488621i	−0.689797	+	0.724002i	$0.742300\pi$
$480$	−4.48802	+	5.62092i	−0.204849	+	0.256559i
$481$	1.48404	−	2.57044i	0.0676666	−	0.117202i
$482$	−21.7751	+	10.8352i	−0.991830	+	0.493529i
$483$	−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
$486$	18.3046	−	3.70905i	0.830314	−	0.168246i
$487$	−7.72288	−	2.06934i	−0.349957	−	0.0937707i	0.0795584	−	0.996830i	$-0.474649\pi$
$487$	−7.72288	−	2.06934i	−0.349957	−	0.0937707i	−0.429515	+	0.903059i	$0.641316\pi$
$488$	28.2434	−	32.9105i	1.27852	−	1.48979i
$489$		−	5.08131i		−	0.229785i
$490$	2.64503	+	21.9773i	0.119490	+	0.992835i
$491$	33.1335			1.49529			0.747646	−	0.664097i	$-0.231184\pi$
$491$	33.1335			1.49529			0.747646	+	0.664097i	$0.231184\pi$
$492$	6.76910	+	2.74735i	0.305175	+	0.123860i
$493$	0.713628	−	2.66330i	0.0321402	−	0.119949i
$494$	13.7543	−	2.78701i	0.618833	−	0.125394i
$495$	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
$498$	2.25815	+	4.53813i	0.101190	+	0.203359i
$499$	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	$0.503012\pi$
$500$	20.3103	+	9.35368i	0.908305	+	0.418309i
$501$	6.62804	−	3.82670i	0.296119	−	0.170964i
$502$	−1.80299	+	29.1010i	−0.0804712	+	1.29884i
$503$	23.4002	+	23.4002i	1.04336	+	1.04336i	0.999016	+	0.0443487i	$0.0141213\pi$
$503$	23.4002	+	23.4002i	1.04336	+	1.04336i	0.0443487	+	0.999016i	$0.485879\pi$
$504$	−10.7599	+	16.8947i	−0.479286	+	0.752550i
$505$	2.55879	−	1.14572i	0.113865	−	0.0509840i
$506$	−1.64593	+	1.45388i	−0.0731706	+	0.0646329i
$507$	1.33546	−	4.98399i	0.0593097	−	0.221347i
$508$	4.56176	−	3.55244i	0.202395	−	0.157614i
$509$	−6.17412	+	10.6939i	−0.273663	+	0.473999i	−0.969797	−	0.243914i	$-0.921569\pi$
$509$	−6.17412	+	10.6939i	−0.273663	+	0.473999i	0.696134	+	0.717912i	$0.254902\pi$
$510$	−0.486970	−	0.400349i	−0.0215634	−	0.0177277i
$511$	26.2389	+	3.15503i	1.16074	+	0.139570i
$512$	11.9598	−	19.2084i	0.528551	−	0.848901i
$513$	4.18414	+	15.6154i	0.184734	+	0.689437i
$514$	−4.14670	−	20.4645i	−0.182903	−	0.902650i
$515$	−12.0702	+	1.93785i	−0.531878	+	0.0853920i
$516$	−6.10668	+	2.58075i	−0.268832	+	0.113611i
$517$	1.26029	−	1.26029i	0.0554276	−	0.0554276i
$518$	−5.28008	+	1.87997i	−0.231993	+	0.0826011i
$519$	6.53460			0.286837
$520$	−11.0147	+	5.97677i	−0.483027	+	0.262099i
$521$	−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	$0.907715\pi$
$522$	16.4515	−	24.8129i	0.720064	−	1.08603i
$523$	−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
$528$	−0.00766529	−	0.536322i	−0.000333589	−	0.0233404i
$529$	17.6364	−	10.1824i	0.766799	−	0.442712i
$530$	−19.5951	−	8.89878i	−0.851156	−	0.386538i
$531$	5.59735			0.242904
$532$	−23.1898	−	12.8263i	−1.00541	−	0.556092i
$533$	8.99994	+	8.99994i	0.389831	+	0.389831i
$534$	−3.60734	+	3.18642i	−0.156105	+	0.137890i
$535$	−8.80904	+	1.41428i	−0.380848	+	0.0611445i
$536$	28.5637	+	13.7074i	1.23376	+	0.592070i
$537$	−0.157991	+	0.0423337i	−0.00681783	+	0.00182683i
$538$	−20.6686	+	10.2846i	−0.891085	+	0.443399i
$539$	−1.19314	−	1.14071i	−0.0513923	−	0.0491337i
$540$	−7.65640	−	12.2384i	−0.329479	−	0.526657i
$541$	−16.5412	−	9.55005i	−0.711161	−	0.410589i	0.100330	−	0.994954i	$-0.468010\pi$
$541$	−16.5412	−	9.55005i	−0.711161	−	0.410589i	−0.811491	+	0.584365i	$0.801343\pi$
$542$	−15.4167	+	23.2522i	−0.662205	+	0.998766i
$543$	1.10152	−	4.11093i	0.0472708	−	0.176417i
$544$	1.66836	+	1.07215i	0.0715302	+	0.0459682i
$545$	−0.0458676	−	0.102438i	−0.00196475	−	0.00438797i
$546$	3.47031	−	2.39385i	0.148516	−	0.102447i
$547$	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	$0.683428\pi$
$548$	16.6924	−	41.1279i	0.713066	−	1.75690i
$549$	20.5204	+	35.5424i	0.875789	+	1.51691i
$550$	−1.61290	+	0.423032i	−0.0687743	+	0.0180381i
$551$	34.1115	+	19.6943i	1.45320	+	0.839004i
$552$	−1.95482	+	10.4095i	−0.0832029	+	0.443056i
$553$	−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
$556$	2.78112	−	22.3581i	0.117946	−	0.948196i
$557$	21.7996	+	5.84118i	0.923677	+	0.247499i	0.689157	−	0.724612i	$-0.257981\pi$
$557$	21.7996	+	5.84118i	0.923677	+	0.247499i	0.234521	+	0.972111i	$0.424648\pi$
$558$	−0.908575	+	14.6648i	−0.0384631	+	0.620811i
$559$	−11.5505			−0.488533
$560$	23.1543	+	4.88644i	0.978449	+	0.206490i
$561$	0.0470103			0.00198478
$562$	−0.779188	+	12.5764i	−0.0328680	+	0.530505i
$563$	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	$0.388670\pi$
$564$	1.06106	−	8.53010i	0.0446785	−	0.359182i
$565$	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
$568$	20.0904	+	3.77283i	0.842974	+	0.158305i
$569$	−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	$0.682869\pi$
$570$	7.32478	−	5.23931i	0.306801	−	0.219451i
$571$	−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	$-0.451998\pi$
$572$	0.351441	−	0.865903i	0.0146945	−	0.0362052i
$573$	−1.30180	−	1.30180i	−0.0543836	−	0.0543836i
$574$	−1.92681	−	23.9572i	−0.0804235	−	0.999954i
$575$	32.8733	−	1.86196i	1.37091	−	0.0776490i
$576$	13.3967	+	16.7049i	0.558194	+	0.696036i
$577$	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	$-0.0674371\pi$
$578$	13.1893	−	19.8926i	0.548601	−	0.827424i
$579$	0.229869	+	0.132715i	0.00955303	+	0.00551545i
$580$	−34.2756	−	7.89404i	−1.42322	−	0.327782i
$581$	10.0028	−	13.3436i	0.414988	−	0.553587i
$582$	7.47938	−	3.72170i	0.310030	−	0.154270i
$583$	1.55016	−	0.415364i	0.0642010	−	0.0172026i
$584$	12.2235	−	25.4715i	0.505813	−	1.05402i
$585$	−1.87991	−	11.7093i	−0.0777247	−	0.484121i
$586$	−12.3884	+	10.9429i	−0.511762	+	0.452048i
$587$	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	$0.730503\pi$
$588$	−7.92022	−	0.804997i	−0.326624	−	0.0331975i
$589$	−19.4393			−0.800982
$590$	−2.32406	−	6.19106i	−0.0956799	−	0.254882i
$591$	−0.854598	+	0.493402i	−0.0351535	+	0.0202959i
$592$	0.0856274	+	5.99115i	0.00351926	+	0.246235i
$593$	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
$598$	−10.1970	+	15.3796i	−0.416988	+	0.628919i
$599$	7.39325	+	12.8055i	0.302080	+	0.523218i	0.976607	−	0.215032i	$-0.0689857\pi$
$599$	7.39325	+	12.8055i	0.302080	+	0.523218i	−0.674527	+	0.738250i	$0.735652\pi$
$600$	−4.88377	+	6.38907i	−0.199379	+	0.260833i
$601$	22.4996			0.917778			0.458889	−	0.888494i	$-0.348248\pi$
$601$	22.4996			0.917778			0.458889	+	0.888494i	$0.348248\pi$
$602$	16.6097	+	14.1368i	0.676961	+	0.576175i
$603$	−21.2006	+	21.2006i	−0.863356	+	0.863356i
$604$	34.7278	−	14.6763i	1.41305	−	0.597171i
$605$	−14.3427	+	19.8289i	−0.583114	+	0.806159i
$606$	0.200239	+	0.988206i	0.00813417	+	0.0401431i
$607$	3.77667	+	14.0947i	0.153290	+	0.572087i	0.999246	+	0.0388335i	$0.0123642\pi$
$607$	3.77667	+	14.0947i	0.153290	+	0.572087i	−0.845955	+	0.533254i	$0.820969\pi$
$608$	−20.9628	+	19.0570i	−0.850154	+	0.772864i
$609$	11.7481	+	1.41261i	0.476055	+	0.0572420i
$610$	30.7921	−	37.4544i	1.24674	−	1.51649i
$611$	7.48807	−	12.9697i	0.302935	−	0.524699i
$612$	−1.48071	+	1.15310i	−0.0598543	+	0.0466111i
$613$	−4.41391	+	16.4729i	−0.178276	+	0.665336i	0.817694	+	0.575653i	$0.195252\pi$
$613$	−4.41391	+	16.4729i	−0.178276	+	0.665336i	−0.995970	+	0.0896828i	$0.971415\pi$
$614$	−10.3961	+	9.18308i	−0.419554	+	0.370599i
$615$	7.63133	+	2.91093i	0.307725	+	0.117380i
$616$	−1.56517	+	0.815042i	−0.0630625	+	0.0328390i
$617$	−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	$0.921378\pi$
$618$	0.271872	−	4.38814i	0.0109363	−	0.176517i
$619$	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	$0.326085\pi$
$620$	16.5976	−	5.08399i	0.666574	−	0.204178i
$621$	−18.4091	−	10.6285i	−0.738730	−	0.426506i
$622$	−16.0111	−	32.1770i	−0.641987	−	1.29018i
$623$	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
$626$	−46.5840	+	9.43928i	−1.86187	+	0.377270i
$627$	−0.173813	+	0.648681i	−0.00694144	+	0.0259058i
$628$	−8.23861	−	3.34378i	−0.328756	−	0.133431i
$629$	−0.525143			−0.0209388
$630$	−11.6279	+	19.1390i	−0.463268	+	0.762515i
$631$			17.5151i			0.697265i	0.937260	+	0.348632i	$0.113354\pi$
$631$			17.5151i			0.697265i	−0.937260	+	0.348632i	$0.886646\pi$
$632$	21.4203	+	18.3827i	0.852052	+	0.731223i
$633$	13.2364	+	3.54667i	0.526098	+	0.140968i
$634$	5.38992	−	1.09216i	0.214061	−	0.0433751i
$635$	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
$638$	2.34822	−	1.16846i	0.0929670	−	0.0462599i
$639$	−9.67230	+	16.7529i	−0.382630	+	0.662735i
$640$	12.9144	−	21.7536i	0.510485	−	0.859887i
$641$	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	$0.749608\pi$
$642$	0.198417	−	3.20254i	0.00783088	−	0.126394i
$643$	−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	$0.364161\pi$
$644$	33.4868	−	9.63569i	1.31957	−	0.379699i
$645$	−6.76495	+	3.02907i	−0.266370	+	0.119269i
$646$	−1.64381	−	1.86095i	−0.0646748	−	0.0732181i
$647$	2.79545	+	0.749039i	0.109901	+	0.0294478i	0.313350	−	0.949638i	$-0.398549\pi$
$647$	2.79545	+	0.749039i	0.109901	+	0.0294478i	−0.203450	+	0.979085i	$0.565215\pi$
$648$	−16.5292	+	5.80920i	−0.649326	+	0.228207i
$649$	0.427063	+	0.246565i	0.0167637	+	0.00967851i
$650$	−12.1708	+	6.94110i	−0.477377	+	0.272252i
$651$	−5.36977	+	2.29523i	−0.210458	+	0.0899570i
$652$	2.45927	+	17.7016i	0.0963125	+	0.693250i
$653$	−28.4547	+	7.62440i	−1.11352	+	0.298366i	−0.768257	−	0.640141i	$-0.778876\pi$
$653$	−28.4547	+	7.62440i	−1.11352	+	0.298366i	−0.345259	+	0.938507i	$0.612209\pi$
$654$	0.0395616	−	0.00801634i	0.00154698	−	0.000313464i
$655$	27.2570	−	37.6830i	1.06502	−	1.47240i
$656$	−24.9110	−	6.29475i	−0.972612	−	0.245769i
$657$	18.9056	+	18.9056i	0.737577	+	0.737577i
$658$	−26.6418	+	9.48580i	−1.03861	+	0.369795i
$659$		−	8.69792i		−	0.338823i	−0.985545	−	0.169411i	$-0.945813\pi$
$659$		−	8.69792i		−	0.338823i	0.985545	−	0.169411i	$-0.0541867\pi$
$660$	−0.0212459	−	0.599311i	−0.000826995	−	0.0233282i
$661$	40.5351	−	23.4030i	1.57663	−	0.910270i	0.581309	−	0.813683i	$-0.302541\pi$
$661$	40.5351	−	23.4030i	1.57663	−	0.910270i	0.995325	−	0.0965866i	$-0.0307925\pi$
$662$	0.107118	+	0.0710220i	0.00416328	+	0.00276035i
$663$	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
$668$	−21.2379	+	16.5388i	−0.821718	+	0.639907i
$669$	−7.12657	−	12.3436i	−0.275529	−	0.477230i
$670$	32.2520	+	14.6467i	1.24600	+	0.565852i
$671$			3.61572i			0.139583i
$672$	−3.54053	+	7.73929i	−0.136579	+	0.298549i
$673$	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	$0.237611\pi$
$674$	−9.28216	+	8.19909i	−0.357535	+	0.315817i
$675$	−8.84750	−	13.4989i	−0.340540	−	0.519573i
$676$	−2.24013	+	18.0089i	−0.0861587	+	0.692652i
$677$	−5.37564	−	20.0622i	−0.206603	−	0.771052i	−0.988955	−	0.148216i	$-0.952647\pi$
$677$	−5.37564	−	20.0622i	−0.206603	−	0.771052i	0.782352	−	0.622836i	$-0.214020\pi$
$678$	3.58879	+	7.21227i	0.137827	+	0.276986i
$679$	−21.9919	−	16.4859i	−0.843972	−	0.632670i
$680$	1.89021	+	1.15900i	0.0724861	+	0.0444456i
$681$	5.65670	−	9.79769i	0.216765	−	0.375448i
$682$	−0.715311	+	1.07886i	−0.0273907	+	0.0413118i
$683$	−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	$0.700053\pi$
$684$	−10.4365	−	24.6953i	−0.399049	−	0.944249i
$685$	17.6864	−	46.3667i	0.675761	−	1.77158i
$686$	9.33727	+	24.4707i	0.356499	+	0.934296i
$687$	−1.50897	+	1.50897i	−0.0575708	+	0.0575708i
$688$	20.0247	−	11.9460i	0.763433	−	0.455438i
$689$	11.6782	−	6.74242i	0.444905	−	0.256866i
$690$	−1.93901	+	11.6817i	−0.0738168	+	0.444716i
$691$	−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	$0.229804\pi$
$692$	−22.7644	+	3.16264i	−0.865374	+	0.120225i
$693$	−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
$696$	5.47288	−	11.4045i	0.207449	−	0.432285i
$697$	0.582843	−	2.17520i	0.0220767	−	0.0823915i
$698$	1.01665	−	16.4092i	0.0384808	−	0.621097i
$699$		−	13.5500i		−	0.512508i
$700$	25.9970	+	4.91466i	0.982596	+	0.185757i
$701$			4.86515i			0.183754i	0.995770	+	0.0918770i	$0.0292867\pi$
$701$			4.86515i			0.183754i	−0.995770	+	0.0918770i	$0.970713\pi$
$702$	9.02814	+	0.559348i	0.340745	+	0.0211112i
$703$	1.94163	−	7.24628i	0.0732301	−	0.273299i
$704$	0.286274	+	1.86466i	0.0107894	+	0.0702771i
$705$	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
$708$	2.35565	−	0.327269i	0.0885309	−	0.0122995i
$709$	−5.07440	+	8.78912i	−0.190573	+	0.330082i	−0.945440	−	0.325795i	$-0.894368\pi$
$709$	−5.07440	+	8.78912i	−0.190573	+	0.330082i	0.754867	+	0.655878i	$0.227701\pi$
$710$	22.5459	+	3.74231i	0.846132	+	0.140446i
$711$	−23.1333	+	13.3560i	−0.867566	+	0.500889i
$712$	11.0246	−	12.8464i	0.413165	−	0.481438i
$713$	18.0741	−	18.0741i	0.676880	−	0.676880i
$714$	−0.673799	−	0.319969i	−0.0252163	−	0.0119745i
$715$	0.372367	−	0.976201i	0.0139257	−	0.0365078i
$716$	0.529902	−	0.223942i	0.0198034	−	0.00836910i
$717$	0.584377	+	0.156583i	0.0218240	+	0.00584772i
$718$	19.5306	+	12.9492i	0.728876	+	0.483262i
$719$	−4.25143	+	7.36368i	−0.158551	+	0.274619i	−0.934347	−	0.356366i	$-0.884016\pi$
$719$	−4.25143	+	7.36368i	−0.158551	+	0.274619i	0.775795	+	0.630985i	$0.217349\pi$
$720$	15.3694	+	18.3558i	0.572785	+	0.684079i
$721$	−13.3005	+	5.68509i	−0.495337	+	0.211724i
$722$	7.69999	−	3.83148i	0.286564	−	0.142593i
$723$	−2.53117	−	9.44644i	−0.0941351	−	0.351317i
$724$	−1.84772	+	14.8543i	−0.0686699	+	0.552055i
$725$	−38.4993	−	8.01362i	−1.42983	−	0.297618i
$726$	−5.82672	−	6.59640i	−0.216250	−	0.244816i
$727$	11.3296	−	11.3296i	0.420191	−	0.420191i	−0.465079	−	0.885269i	$-0.653974\pi$
$727$	11.3296	−	11.3296i	0.420191	−	0.420191i	0.885269	+	0.465079i	$0.153974\pi$
$728$	−10.9309	+	10.0190i	−0.405125	+	0.371328i
$729$		−	11.0733i		−	0.410123i
$730$	13.0612	−	28.7606i	0.483415	−	1.06448i
$731$	1.02181	+	1.76983i	0.0377930	+	0.0654595i
$732$	10.7142	+	13.7583i	0.396007	+	0.508520i
$733$	3.26682	−	0.875341i	0.120663	−	0.0323315i	−0.197982	−	0.980206i	$-0.563439\pi$
$733$	3.26682	−	0.875341i	0.120663	−	0.0323315i	0.318645	+	0.947874i	$0.396772\pi$
$734$	−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
$738$	13.4365	−	20.2655i	0.494603	−	0.745982i
$739$	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	$0.192969\pi$
$740$	0.237334	+	6.69478i	0.00872455	+	0.246105i
$741$			5.64288i			0.207296i
$742$	−25.0456	−	4.59751i	−0.919451	−	0.168780i
$743$	−20.4565	−	20.4565i	−0.750477	−	0.750477i	0.224091	−	0.974568i	$-0.428059\pi$
$743$	−20.4565	−	20.4565i	−0.750477	−	0.750477i	−0.974568	+	0.224091i	$0.928059\pi$
$744$	0.475055	+	6.22484i	0.0174164	+	0.228214i
$745$	−21.1055	+	29.1785i	−0.773246	+	1.06902i
$746$	8.58466	+	42.3663i	0.314307	+	1.55114i
$747$	16.2965	−	4.36662i	0.596256	−	0.159766i
$748$	−0.163769	+	0.0227522i	−0.00598798	+	0.000831903i
$749$	−9.70692	+	4.14907i	−0.354683	+	0.151604i
$750$	−5.30797	+	7.25704i	−0.193820	+	0.264990i
$751$	−10.2309	−	5.90679i	−0.373330	−	0.215542i	0.301583	−	0.953440i	$-0.402485\pi$
$751$	−10.2309	−	5.90679i	−0.373330	−	0.215542i	−0.674912	+	0.737898i	$0.735818\pi$
$752$	0.432052	+	30.2296i	0.0157553	+	1.10236i
$753$	−11.3243	−	3.03433i	−0.412679	−	0.110577i
$754$	16.5177	−	14.5904i	0.601540	−	0.531350i
$755$	38.4712	−	17.2259i	1.40011	−	0.626913i
$756$	−12.2980	−	11.8541i	−0.447272	−	0.431128i
$757$	−24.3040	+	24.3040i	−0.883345	+	0.883345i	−0.993873	−	0.110528i	$-0.964746\pi$
$757$	−24.3040	+	24.3040i	−0.883345	+	0.883345i	0.110528	+	0.993873i	$0.464746\pi$
$758$	27.7858	+	1.72150i	1.00923	+	0.0625278i
$759$	−0.441518	−	0.764732i	−0.0160261	−	0.0277580i
$760$	−22.9814	+	21.7971i	−0.833624	+	0.790665i
$761$	−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	$0.203248\pi$
$762$	1.03569	+	2.08139i	0.0375190	+	0.0754007i
$763$	−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
$766$	−1.01046	−	4.98674i	−0.0365094	−	0.180178i
$767$	4.00238	+	1.07243i	0.144518	+	0.0387234i
$768$	6.61471	+	6.24699i	0.238688	+	0.225419i
$769$		−	35.6232i		−	1.28461i	−0.766451	−	0.642303i	$-0.777979\pi$
$769$		−	35.6232i		−	1.28461i	0.766451	−	0.642303i	$-0.222021\pi$
$770$	−1.73026	+	0.948040i	−0.0623541	+	0.0341650i
$771$	8.39584			0.302369
$772$	−0.865021	−	0.351083i	−0.0311328	−	0.0126358i
$773$	−9.57065	+	35.7182i	−0.344232	+	1.28469i	0.549274	+	0.835642i	$0.314904\pi$
$773$	−9.57065	+	35.7182i	−0.344232	+	1.28469i	−0.893506	+	0.449051i	$0.851762\pi$
$774$	4.38215	+	21.6265i	0.157513	+	0.777347i
$775$	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
$778$	−31.7143	+	15.7809i	−1.13701	+	0.565772i
$779$	27.8599	+	16.0849i	0.998185	+	0.576302i
$780$	−1.47579	−	4.81797i	−0.0528418	−	0.172511i
$781$	−1.47594	+	0.852135i	−0.0528133	+	0.0304918i
$782$	3.25863	+	0.201892i	0.116528	+	0.00721963i
$783$	17.9519	+	17.9519i	0.641549	+	0.641549i
$784$	27.9811	−	1.02891i	0.999325	−	0.0367467i
$785$	−9.28803	−	3.54287i	−0.331504	−	0.126451i
$786$	11.0731	+	12.5359i	0.394966	+	0.447139i
$787$	−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	$0.140047\pi$
$788$	2.73834	−	2.13247i	0.0975495	−	0.0759659i
$789$	−3.16081	+	5.47468i	−0.112528	+	0.194904i
$790$	24.3778	+	20.0415i	0.867322	+	0.713045i
$791$	15.8971	−	21.2065i	0.565237	−	0.754017i
$792$	−1.75460	−	0.329502i	−0.0623471	−	0.0117083i
$793$	7.86329	+	29.3462i	0.279233	+	1.04211i
$794$	−10.0931	+	2.04515i	−0.358189	+	0.0725796i
$795$	5.07159	−	7.01150i	0.179871	−	0.248672i
$796$	−8.64692	−	20.4607i	−0.306482	−	0.725211i
$797$	−24.9384	+	24.9384i	−0.883365	+	0.883365i	−0.993875	−	0.110510i	$-0.964752\pi$
$797$	−24.9384	+	24.9384i	−0.883365	+	0.883365i	0.110510	+	0.993875i	$0.464752\pi$
$798$	6.90642	−	8.11451i	0.244485	−	0.287251i
$799$	−2.64972			−0.0937404
$800$	13.9213	−	24.6211i	0.492191	−	0.870487i
$801$	8.00999	+	13.8737i	0.283019	+	0.490203i
$802$	−23.1287	−	15.3349i	−0.816702	−	0.541492i
$803$	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
$808$	−1.17584	−	3.34568i	−0.0413661	−	0.117700i
$809$	−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	$0.614410\pi$
$810$	−18.3387	+	6.88416i	−0.644356	+	0.241885i
$811$	20.1022			0.705884			0.352942	−	0.935645i	$-0.385181\pi$
$811$	20.1022			0.705884			0.352942	+	0.935645i	$0.385181\pi$
$812$	−41.6101	+	0.764774i	−1.46023	+	0.0268383i
$813$	−7.93223	−	7.93223i	−0.278195	−	0.278195i
$814$	−0.330716	−	0.374402i	−0.0115916	−	0.0131228i
$815$	3.16737	+	19.7285i	0.110948	+	0.691059i
$816$	−0.555741	+	0.571857i	−0.0194548	+	0.0200190i
$817$	−28.1993	+	7.55598i	−0.986569	+	0.264350i
$818$	9.03151	+	18.1503i	0.315780	+	0.634611i
$819$	−5.51511	−	12.9028i	−0.192714	−	0.450861i
$820$	−27.9939	−	6.44731i	−0.977591	−	0.225150i
$821$	−6.84975	−	3.95470i	−0.239058	−	0.138020i	0.375686	−	0.926747i	$-0.377407\pi$
$821$	−6.84975	−	3.95470i	−0.239058	−	0.138020i	−0.614744	+	0.788727i	$0.710741\pi$
$822$	14.8749	+	9.86240i	0.518822	+	0.343991i
$823$	1.68497	−	6.28841i	0.0587345	−	0.219200i	−0.930320	−	0.366748i	$-0.880471\pi$
$823$	1.68497	−	6.28841i	0.0587345	−	0.219200i	0.989055	+	0.147547i	$0.0471379\pi$
$824$	1.17667	+	15.4184i	0.0409914	+	0.537127i
$825$	−0.0379150	−	0.669398i	−0.00132003	−	0.0233055i
$826$	−4.44289	−	6.44076i	−0.154588	−	0.224103i
$827$	−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	$-0.505699\pi$
$828$	32.6645	+	13.2574i	1.13517	+	0.460728i
$829$	−10.8923	−	18.8660i	−0.378305	−	0.655244i	0.612511	−	0.790462i	$-0.290160\pi$
$829$	−10.8923	−	18.8660i	−0.378305	−	0.655244i	−0.990816	+	0.135219i	$0.956826\pi$
$830$	−11.5962	−	16.2120i	−0.402510	−	0.562725i
$831$	9.63579	+	5.56322i	0.334262	+	0.192986i
$832$	6.37866	+	14.5116i	0.221140	+	0.503098i
$833$	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
$836$	0.291559	−	2.34392i	0.0100838	−	0.0810660i
$837$	−12.1026	−	3.24289i	−0.418328	−	0.112091i
$838$	−12.2658	−	0.759941i	−0.423715	−	0.0262517i
$839$	−36.1955			−1.24961			−0.624804	−	0.780781i	$-0.714821\pi$
$839$	−36.1955			−1.24961			−0.624804	+	0.780781i	$0.714821\pi$
$840$	−3.77461	+	8.73454i	−0.130236	+	0.301370i
$841$	32.8566			1.13299
$842$	−6.00429	−	0.372002i	−0.206922	−	0.0128201i
$843$	−4.89395	−	1.31133i	−0.168557	−	0.0451646i
$844$	−47.8277	−	5.94928i	−1.64630	−	0.204783i
$845$	−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
$848$	−13.2728	+	23.7672i	−0.455790	+	0.816170i
$849$	10.2775	+	5.93373i	0.352724	+	0.203645i
$850$	2.14024	+	1.25083i	0.0734096	+	0.0429031i
$851$	4.93211	+	8.54266i	0.169071	+	0.292839i
$852$	−3.09109	+	7.61602i	−0.105899	+	0.260921i
$853$	29.9386	+	29.9386i	1.02508	+	1.02508i	0.999677	+	0.0254017i	$0.00808649\pi$
$853$	29.9386	+	29.9386i	1.02508	+	1.02508i	0.0254017	+	0.999677i	$0.491914\pi$
$854$	24.6099	−	51.8241i	0.842132	−	1.77339i
$855$	−12.2495	−	27.3573i	−0.418924	−	0.935601i
$856$	0.858756	+	11.2526i	0.0293517	+	0.384607i
$857$	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	$-0.214426\pi$
$858$	0.313175	+	0.207642i	0.0106916	+	0.00708878i
$859$	−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	$0.692248\pi$
$860$	22.1009	−	13.8264i	0.753633	−	0.471477i
$861$	9.59500	+	1.15373i	0.326997	+	0.0393189i
$862$	−8.90208	−	17.8902i	−0.303206	−	0.609343i
$863$	−41.4760	+	11.1135i	−1.41186	+	0.378307i	−0.882588	−	0.470146i	$-0.844201\pi$
$863$	−41.4760	+	11.1135i	−1.41186	+	0.378307i	−0.529271	+	0.848453i	$0.677534\pi$
$864$	−16.2303	+	8.36758i	−0.552165	+	0.284671i
$865$	−25.3709	+	4.07326i	−0.862638	+	0.138495i
$866$	23.7540	+	26.8918i	0.807193	+	0.913820i
$867$	6.78615	+	6.78615i	0.230470	+	0.230470i
$868$	17.5957	−	10.5947i	0.597237	−	0.359608i
$869$	−2.35334			−0.0798317
$870$	5.84792	−	12.8771i	0.198263	−	0.436574i
$871$	−19.2215	+	11.0975i	−0.651294	+	0.376025i
$872$	−0.133940	+	0.0470735i	−0.00453578	+	0.00159411i
$873$	−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	$0.0556805\pi$
$877$	6.48395	+	24.1984i	0.218947	+	0.817123i	−0.765792	+	0.643088i	$0.777653\pi$
$878$	−46.3295	−	30.7175i	−1.56354	−	1.03667i
$879$	−3.32318	−	5.75591i	−0.112088	−	0.194142i
$880$	0.364071	+	2.07752i	0.0122728	+	0.0700333i
$881$	8.00066			0.269549			0.134775	−	0.990876i	$-0.456969\pi$
$881$	8.00066			0.269549			0.134775	+	0.990876i	$0.456969\pi$
$882$	−7.86122	+	25.3044i	−0.264701	+	0.852045i
$883$	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	$0.0420104\pi$
$884$	−1.27971	+	0.540820i	−0.0430414	+	0.0181897i
$885$	2.62538	−	0.421499i	0.0882511	−	0.0141685i
$886$	11.9767	−	2.42683i	0.402365	−	0.0815308i
$887$	8.34272	+	31.1355i	0.280121	+	1.04543i	0.952331	+	0.305066i	$0.0986785\pi$
$887$	8.34272	+	31.1355i	0.280121	+	1.04543i	−0.672210	+	0.740360i	$0.734655\pi$
$888$	−2.36785	−	0.444666i	−0.0794598	−	0.0149220i
$889$	4.58775	−	6.11998i	0.153868	−	0.205258i
$890$	12.0195	−	14.6201i	0.402894	−	0.490065i
$891$	0.730356	−	1.26501i	0.0244679	−	0.0423796i
$892$	30.8007	+	39.5519i	1.03128	+	1.32429i
$893$	9.79694	−	36.5627i	0.327842	−	1.22352i
$894$	−8.57409	−	9.70670i	−0.286761	−	0.324641i
$895$	0.587022	−	0.262845i	0.0196220	−	0.00878593i
$896$	8.58838	−	28.6747i	0.286918	−	0.957955i
$897$	−5.24659	−	5.24659i	−0.175178	−	0.175178i
$898$	48.7149	+	3.01819i	1.62564	+	0.100718i
$899$	−26.4379	+	15.2639i	−0.881753	+	0.509080i
$900$	17.6136	+	20.1545i	0.587120	+	0.671816i
$901$	−2.06622	−	1.19293i	−0.0688358	−	0.0397424i
$902$	1.91787	−	0.954321i	0.0638580	−	0.0317754i
$903$	−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
$906$	3.01058	+	14.8576i	0.100020	+	0.493610i
$907$	−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	$0.667829\pi$
$908$	−14.9642	+	36.8697i	−0.496604	+	1.22356i
$909$	3.35598			0.111311
$910$	−11.9815	+	11.4574i	−0.397183	+	0.379810i
$911$		−	10.8150i		−	0.358317i	−0.983820	−	0.179159i	$-0.942662\pi$
$911$		−	10.8150i		−	0.358317i	0.983820	−	0.179159i	$-0.0573375\pi$
$912$	−5.83611	−	9.78286i	−0.193253	−	0.323943i
$913$	1.43573	+	0.384702i	0.0475156	+	0.0127318i
$914$	9.47844	+	46.7773i	0.313519	+	1.54725i
$915$	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
$918$	−0.712966	−	1.43282i	−0.0235314	−	0.0472902i
$919$	−9.28418	+	16.0807i	−0.306257	+	0.530453i	−0.977540	−	0.210748i	$-0.932410\pi$
$919$	−9.28418	+	16.0807i	−0.306257	+	0.530453i	0.671283	+	0.741201i	$0.265743\pi$
$920$	1.10111	−	41.6338i	0.0363026	−	1.37263i
$921$	−2.78874	−	4.83024i	−0.0918921	−	0.159162i
$922$	50.7682	+	3.14540i	1.67196	+	0.103588i
$923$	−10.1260	+	10.1260i	−0.333301	+	0.333301i
$924$	−0.196211	−	0.681892i	−0.00645488	−	0.0224326i
$925$	0.423541	+	7.47771i	0.0139259	+	0.245866i
$926$	5.00261	−	4.41889i	0.164396	−	0.145214i
$927$	−14.1348	−	3.78742i	−0.464249	−	0.124395i
$928$	−13.5462	+	42.3782i	−0.444675	+	1.39113i
$929$	−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	$0.722819\pi$
$930$	0.678154	+	6.94680i	0.0222375	+	0.227794i
$931$	−34.0577	−	8.31053i	−1.11620	−	0.272367i
$932$	6.55797	+	47.2038i	0.214814	+	1.54621i
$933$	13.9589	−	3.74029i	0.456995	−	0.122452i
$934$	3.27863	+	16.1804i	0.107280	+	0.529439i
$935$	−0.182520	+	0.0293033i	−0.00596905	+	0.000958320i
$936$	−14.9574	+	1.14149i	−0.488899	+	0.0373108i
$937$	−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	$0.765613\pi$
$938$	41.2231	+	7.56716i	1.34598	+	0.247077i
$939$		−	19.1118i		−	0.623688i
$940$	1.19752	+	33.7800i	0.0390587	+	1.10178i
$941$	15.3063	−	8.83708i	0.498970	−	0.288081i	−0.229318	−	0.973352i	$-0.573650\pi$
$941$	15.3063	−	8.83708i	0.498970	−	0.288081i	0.728288	+	0.685271i	$0.240316\pi$
$942$	1.97560	−	2.97969i	0.0643687	−	0.0970836i
$943$	−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	$0.290681\pi$
$948$	−8.95478	+	6.97347i	−0.290838	+	0.226488i
$949$	9.89616	+	17.1407i	0.321243	+	0.556409i
$950$	−25.1730	+	24.9077i	−0.816721	+	0.808114i
$951$			2.21129i			0.0717061i
$952$	2.50216	+	0.788560i	0.0810954	+	0.0255574i
$953$	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	$0.145875\pi$
$954$	−17.0547	−	19.3076i	−0.552167	−	0.625107i
$955$	5.86579	+	4.24286i	0.189812	+	0.137296i
$956$	−2.11157	−	0.262657i	−0.0682929	−	0.00849493i
$957$	0.272960	+	1.01870i	0.00882355	+	0.0329299i
$958$	15.6346	−	7.77970i	0.505131	−	0.251351i
$959$	7.00985	−	58.2976i	0.226360	−	1.88253i
$960$	7.54149	+	6.82643i	0.243401	+	0.220322i
$961$	−7.96685	+	13.7990i	−0.256995	+	0.445129i
$962$	−3.49841	−	2.31953i	−0.112793	−	0.0747846i
$963$	−10.3158	−	2.76412i	−0.332423	−	0.0890725i
$964$	13.3897	+	31.6833i	0.431253	+	1.02045i
$965$	−0.975206	−	0.371987i	−0.0313930	−	0.0119747i
$966$	1.12325	+	13.9660i	0.0361400	+	0.449350i
$967$	0.936828	−	0.936828i	0.0301264	−	0.0301264i	−0.691883	−	0.722009i	$-0.743219\pi$
$967$	0.936828	−	0.936828i	0.0301264	−	0.0301264i	0.722009	+	0.691883i	$0.243219\pi$
$968$	23.4909	+	20.1597i	0.755027	+	0.647957i
$969$	0.864633	−	0.499196i	0.0277760	−	0.0160365i
$970$	−26.7193	+	19.1119i	−0.857904	+	0.613646i
$971$	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	$-0.292597\pi$
$972$	−3.63458	−	26.1615i	−0.116579	−	0.839129i
$973$	−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
$976$	−43.9834	−	42.7439i	−1.40788	−	1.36820i
$977$	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	$-0.0789588\pi$
$978$	−7.17231	−	0.444368i	−0.229345	−	0.0142093i
$979$			1.41137i			0.0451075i
$980$	31.2525	−	1.81152i	0.998324	−	0.0578669i
$981$		−	0.134353i		−	0.00428955i
$982$	2.89757	−	46.7681i	0.0924652	−	1.49243i
$983$	−5.55742	+	20.7406i	−0.177254	+	0.661521i	0.818903	+	0.573932i	$0.194583\pi$
$983$	−5.55742	+	20.7406i	−0.177254	+	0.661521i	−0.996157	+	0.0875888i	$0.972084\pi$
$984$	4.46987	−	9.31437i	0.142494	−	0.296931i
$985$	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
$988$	−2.73106	−	19.6580i	−0.0868866	−	0.625403i
$989$	19.1936	−	33.2442i	0.610320	−	1.05711i
$990$	−1.96905	−	0.326836i	−0.0625807	−	0.0103875i
$991$	−6.19726	+	3.57799i	−0.196862	+	0.113659i	−0.595191	−	0.803584i	$-0.702924\pi$
$991$	−6.19726	+	3.57799i	−0.196862	+	0.113659i	0.398329	+	0.917243i	$0.369590\pi$
$992$	−4.66766	−	21.4554i	−0.148198	−	0.681210i
$993$	−0.0365423	+	0.0365423i	−0.00115964	+	0.00115964i
$994$	26.9546	−	2.16789i	0.854949	−	0.0687611i
$995$	−10.1490	−	22.6663i	−0.321746	−	0.718569i
$996$	6.60308	−	2.79053i	0.209227	−	0.0884213i
$997$	−20.5961	−	5.51870i	−0.652284	−	0.174779i	−0.0825225	−	0.996589i	$-0.526298\pi$
$997$	−20.5961	−	5.51870i	−0.652284	−	0.174779i	−0.569761	+	0.821810i	$0.692964\pi$
$998$	17.1703	−	25.8969i	0.543515	−	0.819753i
$999$	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.107.24	yes	176
5.3	odd	4	inner	280.2.br.a.163.2	yes	176
7.4	even	3	inner	280.2.br.a.67.36	yes	176
8.3	odd	2	inner	280.2.br.a.107.31	yes	176
35.18	odd	12	inner	280.2.br.a.123.31	yes	176
40.3	even	4	inner	280.2.br.a.163.36	yes	176
56.11	odd	6	inner	280.2.br.a.67.2	✓	176
280.123	even	12	inner	280.2.br.a.123.24	yes	176

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

\(f(q)\)	\(=\)	\(q+(0.0874515 - 1.41151i) q^{2} +(0.549269 + 0.147176i) q^{3} +(-1.98470 - 0.246877i) q^{4} +(-2.22431 - 0.229040i) q^{5} +(0.255774 - 0.762426i) q^{6} +(-2.61907 + 0.374780i) q^{7} +(-0.522034 + 2.77983i) q^{8} +(-2.31804 - 1.33832i) q^{9} +O(q^{10})\)	\(q+(0.0874515 - 1.41151i) q^{2} +(0.549269 + 0.147176i) q^{3} +(-1.98470 - 0.246877i) q^{4} +(-2.22431 - 0.229040i) q^{5} +(0.255774 - 0.762426i) q^{6} +(-2.61907 + 0.374780i) q^{7} +(-0.522034 + 2.77983i) q^{8} +(-2.31804 - 1.33832i) q^{9} +(-0.517810 + 3.11959i) q^{10} +(-0.117907 - 0.204221i) q^{11} +(-1.05380 - 0.427703i) q^{12} +(-1.40109 - 1.40109i) q^{13} +(0.299963 + 3.72961i) q^{14} +(-1.18803 - 0.453169i) q^{15} +(3.87810 + 0.979955i) q^{16} +(-0.0907359 + 0.338631i) q^{17} +(-2.09177 + 3.15489i) q^{18} +(-4.33718 - 2.50407i) q^{19} +(4.35805 + 1.00371i) q^{20} +(-1.49373 - 0.179610i) q^{21} +(-0.298570 + 0.148567i) q^{22} +(6.36081 - 1.70437i) q^{23} +(-0.695862 + 1.45004i) q^{24} +(4.89508 + 1.01891i) q^{25} +(-2.10018 + 1.85513i) q^{26} +(-2.28254 - 2.28254i) q^{27} +(5.29061 - 0.0972390i) q^{28} -7.86489 q^{29} +(-0.743547 + 1.63729i) q^{30} +(3.36151 - 1.94077i) q^{31} +(1.72236 - 5.38827i) 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} +(-3.91381 + 5.90298i) q^{38} +(-0.563370 - 0.975785i) q^{39} +(1.79786 - 6.06364i) q^{40} -6.42351 q^{41} +(-0.384150 + 2.09271i) q^{42} +(4.12195 - 4.12195i) q^{43} +(0.183593 + 0.434426i) q^{44} +(4.84951 + 3.50776i) q^{45} +(-1.84947 - 9.12737i) q^{46} +(1.95620 + 7.30064i) q^{47} +(1.98589 + 1.10902i) q^{48} +(6.71908 - 1.96315i) q^{49} +(1.86628 - 6.82034i) q^{50} +(-0.0996768 + 0.172645i) q^{51} +(2.43486 + 3.12666i) q^{52} +(-1.76141 + 6.57366i) q^{53} +(-3.42143 + 3.02220i) q^{54} +(0.215486 + 0.481255i) q^{55} +(0.325418 - 7.47624i) q^{56} +(-2.01374 - 2.01374i) q^{57} +(-0.687797 + 11.1014i) q^{58} +(-1.81102 + 1.04559i) q^{59} +(2.24602 + 1.19270i) q^{60} +(-13.2787 - 7.66647i) q^{61} +(-2.44544 - 4.91451i) q^{62} +(6.57269 + 2.63641i) q^{63} +(-7.45496 - 2.90233i) q^{64} +(2.79556 + 3.43737i) q^{65} +(-0.185861 + 0.0376608i) q^{66} +(2.89914 - 10.8197i) q^{67} +(0.263684 - 0.649682i) q^{68} +3.74463 q^{69} +(0.187021 - 8.36451i) q^{70} -7.22719i q^{71} +(4.93041 - 5.74512i) q^{72} +(-9.64846 - 2.58530i) q^{73} +(2.07621 - 0.420701i) q^{74} +(2.53876 + 1.28009i) q^{75} +(7.98983 + 6.04059i) q^{76} +(0.385344 + 0.490680i) q^{77} +(-1.42659 + 0.709867i) q^{78} +(4.98983 - 8.64265i) q^{79} +(-8.40164 - 3.06796i) q^{80} +(3.09717 + 5.36446i) q^{81} +(-0.561745 + 9.06682i) q^{82} +(-4.45701 + 4.45701i) q^{83} +(2.92028 + 0.725241i) q^{84} +(0.279385 - 0.732437i) q^{85} +(-5.45769 - 6.17863i) q^{86} +(-4.31994 - 1.15752i) q^{87} +(0.629251 - 0.221152i) q^{88} +(-5.18325 - 2.99255i) q^{89} +(5.37533 - 6.53835i) q^{90} +(4.19467 + 3.14447i) q^{91} +(-13.0451 + 1.81234i) q^{92} +(2.13200 - 0.571269i) q^{93} +(10.4760 - 2.12274i) q^{94} +(9.07369 + 6.56321i) q^{95} +(1.73906 - 2.70612i) q^{96} +(7.34569 + 7.34569i) q^{97} +(-2.18341 - 9.65571i) 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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