LMFDB - Embedded newform 280.2.br.a.107.2

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			107.2
Character	$\chi$	$=$	280.107
Dual form			280.2.br.a.123.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.41288 + 0.0614353i) q^{2} +(-0.862160 - 0.231015i) q^{3} +(1.99245 - 0.173601i) q^{4} +(1.04411 + 1.97733i) q^{5} +(1.23232 + 0.273429i) q^{6} +(2.36165 - 1.19273i) q^{7} +(-2.80443 + 0.367684i) q^{8} +(-1.90812 - 1.10166i) q^{9} +O(q^{10})$	\(q+(-1.41288 + 0.0614353i) q^{2} +(-0.862160 - 0.231015i) q^{3} +(1.99245 - 0.173601i) q^{4} +(1.04411 + 1.97733i) q^{5} +(1.23232 + 0.273429i) q^{6} +(2.36165 - 1.19273i) q^{7} +(-2.80443 + 0.367684i) q^{8} +(-1.90812 - 1.10166i) q^{9} +(-1.59668 - 2.72958i) q^{10} +(2.58625 + 4.47952i) q^{11} +(-1.75792 - 0.310614i) q^{12} +(-2.64215 - 2.64215i) q^{13} +(-3.26345 + 1.83028i) q^{14} +(-0.443399 - 1.94598i) q^{15} +(3.93973 - 0.691784i) q^{16} +(-0.725310 + 2.70689i) q^{17} +(2.76363 + 1.43928i) q^{18} +(5.82319 + 3.36202i) q^{19} +(2.42361 + 3.75847i) q^{20} +(-2.31166 + 0.482750i) q^{21} +(-3.92926 - 6.17013i) q^{22} +(5.16870 - 1.38495i) q^{23} +(2.50281 + 0.330862i) q^{24} +(-2.81966 + 4.12911i) q^{25} +(3.89536 + 3.57071i) q^{26} +(3.28404 + 3.28404i) q^{27} +(4.49841 - 2.78645i) q^{28} +8.59297 q^{29} +(0.746020 + 2.72219i) q^{30} +(-1.82817 + 1.05549i) q^{31} +(-5.52385 + 1.21944i) q^{32} +(-1.19493 - 4.45953i) q^{33} +(0.858476 - 3.86907i) q^{34} +(4.82425 + 3.42441i) q^{35} +(-3.99309 - 1.86374i) q^{36} +(0.450128 + 1.67990i) q^{37} +(-8.43401 - 4.39238i) q^{38} +(1.66758 + 2.88833i) q^{39} +(-3.65517 - 5.16137i) q^{40} -2.04040 q^{41} +(3.23644 - 0.824085i) q^{42} +(-3.38710 + 3.38710i) q^{43} +(5.93063 + 8.47625i) q^{44} +(0.186041 - 4.92324i) q^{45} +(-7.21766 + 2.27431i) q^{46} +(-0.488737 - 1.82399i) q^{47} +(-3.55649 - 0.313708i) q^{48} +(4.15477 - 5.63364i) q^{49} +(3.73017 - 6.00715i) q^{50} +(1.25067 - 2.16622i) q^{51} +(-5.72303 - 4.80567i) q^{52} +(-0.759193 + 2.83335i) q^{53} +(-4.84171 - 4.43820i) q^{54} +(-6.15715 + 9.79099i) q^{55} +(-6.18452 + 4.21327i) q^{56} +(-4.24385 - 4.24385i) q^{57} +(-12.1408 + 0.527911i) q^{58} +(-5.92224 + 3.41921i) q^{59} +(-1.22127 - 3.80030i) q^{60} +(-6.25564 - 3.61169i) q^{61} +(2.51814 - 1.60360i) q^{62} +(-5.82030 - 0.325842i) q^{63} +(7.72962 - 2.06229i) q^{64} +(2.46570 - 7.98309i) q^{65} +(1.96226 + 6.22736i) q^{66} +(2.41049 - 8.99606i) q^{67} +(-0.975225 + 5.51927i) q^{68} -4.77619 q^{69} +(-7.02646 - 4.54190i) q^{70} -11.8666i q^{71} +(5.75626 + 2.38793i) q^{72} +(2.45321 + 0.657335i) q^{73} +(-0.739181 - 2.34584i) q^{74} +(3.38488 - 2.90857i) q^{75} +(12.1861 + 5.68775i) q^{76} +(11.4507 + 7.49435i) q^{77} +(-2.53353 - 3.97841i) q^{78} +(5.08731 - 8.81147i) q^{79} +(5.48140 + 7.06783i) q^{80} +(1.23226 + 2.13434i) q^{81} +(2.88284 - 0.125353i) q^{82} +(-1.87855 + 1.87855i) q^{83} +(-4.52206 + 1.36316i) q^{84} +(-6.10972 + 1.39212i) q^{85} +(4.57747 - 4.99365i) q^{86} +(-7.40851 - 1.98510i) q^{87} +(-8.90000 - 11.6116i) q^{88} +(-12.9729 - 7.48991i) q^{89} +(0.0396069 + 6.96737i) q^{90} +(-9.39120 - 3.08845i) q^{91} +(10.0580 - 3.65674i) q^{92} +(1.82001 - 0.487670i) q^{93} +(0.802583 + 2.54705i) q^{94} +(-0.567759 + 15.0247i) q^{95} +(5.04416 + 0.224737i) q^{96} +(0.762202 + 0.762202i) q^{97} +(-5.52409 + 8.21489i) q^{98} -11.3966i 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 $

$2$	−1.41288	+	0.0614353i	−0.999056	+	0.0434413i
$2$	−1.41288	+	0.0614353i	−0.999056	+	0.0434413i
$3$	−0.862160	−	0.231015i	−0.497768	−	0.133377i	0.00119575	−	0.999999i	$-0.499619\pi$
$3$	−0.862160	−	0.231015i	−0.497768	−	0.133377i	−0.498964	+	0.866623i	$0.666286\pi$
$4$	1.99245	−	0.173601i	0.996226	−	0.0868006i
$5$	1.04411	+	1.97733i	0.466941	+	0.884288i
$5$	1.04411	+	1.97733i	0.466941	+	0.884288i
$6$	1.23232	+	0.273429i	0.503092	+	0.111627i
$7$	2.36165	−	1.19273i	0.892620	−	0.450811i
$7$	2.36165	−	1.19273i	0.892620	−	0.450811i
$8$	−2.80443	+	0.367684i	−0.991515	+	0.129996i
$9$	−1.90812	−	1.10166i	−0.636041	−	0.367219i
$10$	−1.59668	−	2.72958i	−0.504915	−	0.863169i
$11$	2.58625	+	4.47952i	0.779784	+	1.35063i	0.932066	+	0.362289i	$0.118005\pi$
$11$	2.58625	+	4.47952i	0.779784	+	1.35063i	−0.152281	+	0.988337i	$0.548662\pi$
$12$	−1.75792	−	0.310614i	−0.507467	−	0.0896667i
$13$	−2.64215	−	2.64215i	−0.732800	−	0.732800i	0.238374	−	0.971174i	$-0.423386\pi$
$13$	−2.64215	−	2.64215i	−0.732800	−	0.732800i	−0.971174	+	0.238374i	$0.923386\pi$
$14$	−3.26345	+	1.83028i	−0.872193	+	0.489162i
$15$	−0.443399	−	1.94598i	−0.114485	−	0.502450i
$16$	3.93973	−	0.691784i	0.984931	−	0.172946i
$17$	−0.725310	+	2.70689i	−0.175913	+	0.656518i	0.820481	+	0.571674i	$0.193706\pi$
$17$	−0.725310	+	2.70689i	−0.175913	+	0.656518i	−0.996394	+	0.0848439i	$0.972961\pi$
$18$	2.76363	+	1.43928i	0.651393	+	0.339242i
$19$	5.82319	+	3.36202i	1.33593	+	0.771301i	0.986201	−	0.165550i	$-0.0529399\pi$
$19$	5.82319	+	3.36202i	1.33593	+	0.771301i	0.349730	+	0.936850i	$0.386273\pi$
$20$	2.42361	+	3.75847i	0.541935	+	0.840420i
$21$	−2.31166	+	0.482750i	−0.504445	+	0.105345i
$22$	−3.92926	−	6.17013i	−0.837721	−	1.31548i
$23$	5.16870	−	1.38495i	1.07775	−	0.288782i	0.324076	−	0.946031i	$-0.394947\pi$
$23$	5.16870	−	1.38495i	1.07775	−	0.288782i	0.753673	+	0.657249i	$0.228280\pi$
$24$	2.50281	+	0.330862i	0.510883	+	0.0675370i
$25$	−2.81966	+	4.12911i	−0.563932	+	0.825821i
$26$	3.89536	+	3.57071i	0.763942	+	0.700274i
$27$	3.28404	+	3.28404i	0.632015	+	0.632015i
$28$	4.49841	−	2.78645i	0.850120	−	0.526589i
$29$	8.59297			1.59567			0.797837	−	0.602873i	$-0.205978\pi$
$29$	8.59297			1.59567			0.797837	+	0.602873i	$0.205978\pi$
$30$	0.746020	+	2.72219i	0.136204	+	0.497002i
$31$	−1.82817	+	1.05549i	−0.328349	+	0.189572i	−0.655108	−	0.755535i	$-0.727377\pi$
$31$	−1.82817	+	1.05549i	−0.328349	+	0.189572i	0.326759	+	0.945108i	$0.394043\pi$
$32$	−5.52385	+	1.21944i	−0.976489	+	0.215569i
$33$	−1.19493	−	4.45953i	−0.208010	−	0.776304i
$34$	0.858476	−	3.86907i	0.147227	−	0.663540i
$35$	4.82425	+	3.42441i	0.815448	+	0.578831i
$36$	−3.99309	−	1.86374i	−0.665516	−	0.310624i
$37$	0.450128	+	1.67990i	0.0740005	+	0.276174i	0.993005	−	0.118074i	$-0.0376719\pi$
$37$	0.450128	+	1.67990i	0.0740005	+	0.276174i	−0.919004	+	0.394247i	$0.871005\pi$
$38$	−8.43401	−	4.39238i	−1.36818	−	0.712538i
$39$	1.66758	+	2.88833i	0.267026	+	0.462503i
$40$	−3.65517	−	5.16137i	−0.577933	−	0.816084i
$41$	−2.04040			−0.318658			−0.159329	−	0.987226i	$-0.550933\pi$
$41$	−2.04040			−0.318658			−0.159329	+	0.987226i	$0.550933\pi$
$42$	3.23644	−	0.824085i	0.499393	−	0.127159i
$43$	−3.38710	+	3.38710i	−0.516528	+	0.516528i	−0.916519	−	0.399991i	$-0.869013\pi$
$43$	−3.38710	+	3.38710i	−0.516528	+	0.516528i	0.399991	+	0.916519i	$0.369013\pi$
$44$	5.93063	+	8.47625i	0.894076	+	1.27784i
$45$	0.186041	−	4.92324i	0.0277334	−	0.733914i
$46$	−7.21766	+	2.27431i	−1.06419	+	0.335328i
$47$	−0.488737	−	1.82399i	−0.0712895	−	0.266056i	0.921077	−	0.389381i	$-0.127311\pi$
$47$	−0.488737	−	1.82399i	−0.0712895	−	0.266056i	−0.992366	+	0.123325i	$0.960644\pi$
$48$	−3.55649	−	0.313708i	−0.513335	−	0.0452798i
$49$	4.15477	−	5.63364i	0.593539	−	0.804805i
$50$	3.73017	−	6.00715i	0.527525	−	0.849539i
$51$	1.25067	−	2.16622i	0.175128	−	0.303331i
$52$	−5.72303	−	4.80567i	−0.793642	−	0.666427i
$53$	−0.759193	+	2.83335i	−0.104283	+	0.389190i	−0.998263	−	0.0589175i	$-0.981235\pi$
$53$	−0.759193	+	2.83335i	−0.104283	+	0.389190i	0.893980	+	0.448107i	$0.147902\pi$
$54$	−4.84171	−	4.43820i	−0.658873	−	0.603962i
$55$	−6.15715	+	9.79099i	−0.830230	+	1.32022i
$56$	−6.18452	+	4.21327i	−0.826442	+	0.563022i
$57$	−4.24385	−	4.24385i	−0.562111	−	0.562111i
$58$	−12.1408	+	0.527911i	−1.59417	+	0.0693181i
$59$	−5.92224	+	3.41921i	−0.771010	+	0.445143i	−0.833235	−	0.552920i	$-0.813514\pi$
$59$	−5.92224	+	3.41921i	−0.771010	+	0.445143i	0.0622250	+	0.998062i	$0.480180\pi$
$60$	−1.22127	−	3.80030i	−0.157666	−	0.490616i
$61$	−6.25564	−	3.61169i	−0.800952	−	0.462430i	0.0428517	−	0.999081i	$-0.486356\pi$
$61$	−6.25564	−	3.61169i	−0.800952	−	0.462430i	−0.843804	+	0.536651i	$0.819689\pi$
$62$	2.51814	−	1.60360i	0.319804	−	0.203657i
$63$	−5.82030	−	0.325842i	−0.733289	−	0.0410522i
$64$	7.72962	−	2.06229i	0.966202	−	0.257786i
$65$	2.46570	−	7.98309i	0.305832	−	0.990181i
$66$	1.96226	+	6.22736i	0.241537	+	0.766535i
$67$	2.41049	−	8.99606i	0.294488	−	1.09904i	−0.647135	−	0.762375i	$-0.724033\pi$
$67$	2.41049	−	8.99606i	0.294488	−	1.09904i	0.941623	−	0.336669i	$-0.109300\pi$
$68$	−0.975225	+	5.51927i	−0.118263	+	0.669309i
$69$	−4.77619			−0.574986
$70$	−7.02646	−	4.54190i	−0.839823	−	0.542861i
$71$		−	11.8666i		−	1.40831i	−0.710046	−	0.704155i	$-0.751326\pi$
$71$		−	11.8666i		−	1.40831i	0.710046	−	0.704155i	$-0.248674\pi$
$72$	5.75626	+	2.38793i	0.678381	+	0.281420i
$73$	2.45321	+	0.657335i	0.287126	+	0.0769352i	0.399507	−	0.916730i	$-0.369181\pi$
$73$	2.45321	+	0.657335i	0.287126	+	0.0769352i	−0.112381	+	0.993665i	$0.535848\pi$
$74$	−0.739181	−	2.34584i	−0.0859280	−	0.272698i
$75$	3.38488	−	2.90857i	0.390853	−	0.335852i
$76$	12.1861	+	5.68775i	1.39784	+	0.652430i
$77$	11.4507	+	7.49435i	1.30493	+	0.854060i
$78$	−2.53353	−	3.97841i	−0.286866	−	0.450466i
$79$	5.08731	−	8.81147i	0.572367	−	0.991368i	−0.423956	−	0.905683i	$-0.639359\pi$
$79$	5.08731	−	8.81147i	0.572367	−	0.991368i	0.996322	−	0.0856851i	$-0.0273079\pi$
$80$	5.48140	+	7.06783i	0.612839	+	0.790208i
$81$	1.23226	+	2.13434i	0.136918	+	0.237149i
$82$	2.88284	−	0.125353i	0.318357	−	0.0138429i
$83$	−1.87855	+	1.87855i	−0.206198	+	0.206198i	−0.802649	−	0.596451i	$-0.796577\pi$
$83$	−1.87855	+	1.87855i	−0.206198	+	0.206198i	0.596451	+	0.802649i	$0.296577\pi$
$84$	−4.52206	+	1.36316i	−0.493397	+	0.148733i
$85$	−6.10972	+	1.39212i	−0.662693	+	0.150997i
$86$	4.57747	−	4.99365i	0.493601	−	0.538479i
$87$	−7.40851	−	1.98510i	−0.794276	−	0.212826i
$88$	−8.90000	−	11.6116i	−0.948744	−	1.23780i
$89$	−12.9729	−	7.48991i	−1.37513	−	0.793929i	−0.383558	−	0.923517i	$-0.625301\pi$
$89$	−12.9729	−	7.48991i	−1.37513	−	0.793929i	−0.991568	+	0.129588i	$0.958635\pi$
$90$	0.0396069	+	6.96737i	0.00417493	+	0.734425i
$91$	−9.39120	−	3.08845i	−0.984466	−	0.323757i
$92$	10.0580	−	3.65674i	1.04861	−	0.381241i
$93$	1.82001	−	0.487670i	0.188726	−	0.0505690i
$94$	0.802583	+	2.54705i	0.0827801	+	0.262708i
$95$	−0.567759	+	15.0247i	−0.0582508	+	1.54150i
$96$	5.04416	+	0.224737i	0.514817	+	0.0229372i
$97$	0.762202	+	0.762202i	0.0773899	+	0.0773899i	0.744742	−	0.667352i	$-0.232572\pi$
$97$	0.762202	+	0.762202i	0.0773899	+	0.0773899i	−0.667352	+	0.744742i	$0.732572\pi$
$98$	−5.52409	+	8.21489i	−0.558017	+	0.829829i
$99$		−	11.3966i		−	1.14541i
$100$	−4.90122	+	8.71654i	−0.490122	+	0.871654i
$101$	−15.0228	+	8.67344i	−1.49483	+	0.863039i	−0.999982	−	0.00594133i	$-0.998109\pi$
$101$	−15.0228	+	8.67344i	−1.49483	+	0.863039i	−0.494846	+	0.868981i	$0.664775\pi$
$102$	−1.63396	+	3.13744i	−0.161786	+	0.310653i
$103$	10.8461	−	2.90622i	1.06870	−	0.286358i	0.318743	−	0.947841i	$-0.396739\pi$
$103$	10.8461	−	2.90622i	1.06870	−	0.286358i	0.749960	+	0.661483i	$0.230073\pi$
$104$	8.38119	+	6.43823i	0.821843	+	0.631321i
$105$	−3.36819	−	4.06687i	−0.328701	−	0.396885i
$106$	0.898580	−	4.04981i	0.0872778	−	0.393353i
$107$	0.981153	−	0.262899i	0.0948517	−	0.0254154i	−0.211081	−	0.977469i	$-0.567698\pi$
$107$	0.981153	−	0.262899i	0.0948517	−	0.0254154i	0.305933	+	0.952053i	$0.401032\pi$
$108$	7.11341	+	5.97318i	0.684488	+	0.574770i
$109$	−3.76288	−	6.51750i	−0.360419	−	0.624263i	0.627611	−	0.778527i	$-0.284033\pi$
$109$	−3.76288	−	6.51750i	−0.360419	−	0.624263i	−0.988030	+	0.154264i	$0.950699\pi$
$110$	8.09779	−	14.2117i	0.772094	−	1.35504i
$111$		−	1.55233i		−	0.147340i
$112$	8.47914	−	6.33279i	0.801203	−	0.598393i
$113$	−4.33381	+	4.33381i	−0.407690	+	0.407690i	−0.880932	−	0.473242i	$-0.843084\pi$
$113$	−4.33381	+	4.33381i	−0.407690	+	0.407690i	0.473242	+	0.880932i	$0.343084\pi$
$114$	6.25676	+	5.73532i	0.585999	+	0.537162i
$115$	8.13520	+	8.77418i	0.758612	+	0.818197i
$116$	17.1211	−	1.49175i	1.58965	−	0.138505i
$117$	2.13081	+	7.95229i	0.196993	+	0.735189i
$118$	8.15734	−	5.19476i	0.750944	−	0.478216i
$119$	1.51567	+	7.25783i	0.138942	+	0.665324i
$120$	1.95898	+	5.29433i	0.178830	+	0.483304i
$121$	−7.87740	+	13.6441i	−0.716128	+	1.24037i
$122$	9.06034	+	4.71857i	0.820285	+	0.427199i
$123$	1.75915	+	0.471364i	0.158618	+	0.0425015i
$124$	−3.45930	+	2.42039i	−0.310654	+	0.217358i
$125$	−11.1086	−	1.26415i	−0.993587	−	0.113069i
$126$	8.24340	+	0.102803i	0.734380	+	0.00915841i
$127$	−2.56715	+	2.56715i	−0.227797	+	0.227797i	−0.811772	−	0.583975i	$-0.801497\pi$
$127$	−2.56715	+	2.56715i	−0.227797	+	0.227797i	0.583975	+	0.811772i	$0.301497\pi$
$128$	−10.7943	+	3.38863i	−0.954091	+	0.299515i
$129$	3.70269	−	2.13775i	0.326004	−	0.188218i
$130$	−2.99329	+	11.4306i	−0.262529	+	1.00253i
$131$	−3.72447	+	6.45098i	−0.325409	+	0.563625i	−0.981595	−	0.190974i	$-0.938835\pi$
$131$	−3.72447	+	6.45098i	−0.325409	+	0.563625i	0.656186	+	0.754599i	$0.272169\pi$
$132$	−3.15501	−	8.67795i	−0.274609	−	0.755319i
$133$	17.7623	+	0.994400i	1.54019	+	0.0862254i
$134$	−2.85305	+	12.8584i	−0.246466	+	1.11080i
$135$	−3.06473	+	9.92255i	−0.263770	+	0.853997i
$136$	1.03880	−	7.85797i	0.0890761	−	0.673815i
$137$	3.32215	−	12.3984i	0.283830	−	1.05927i	−0.665860	−	0.746077i	$-0.731935\pi$
$137$	3.32215	−	12.3984i	0.283830	−	1.05927i	0.949690	−	0.313191i	$-0.101398\pi$
$138$	6.74818	−	0.293427i	0.574443	−	0.0249781i
$139$		−	3.23090i		−	0.274041i	−0.990568	−	0.137021i	$-0.956247\pi$
$139$		−	3.23090i		−	0.274041i	0.990568	−	0.137021i	$-0.0437526\pi$
$140$	10.2066	+	5.98548i	0.862613	+	0.505865i
$141$			1.68548i			0.141943i
$142$	0.729030	+	16.7661i	0.0611788	+	1.40698i
$143$	5.00229	−	18.6688i	0.418313	−	1.56116i
$144$	−8.27959	−	3.02021i	−0.689966	−	0.251684i
$145$	8.97202	+	16.9911i	0.745086	+	1.41104i
$146$	−3.50647	−	0.778021i	−0.290197	−	0.0643895i
$147$	−4.88354	+	3.89728i	−0.402787	+	0.321442i
$148$	1.18849	+	3.26897i	0.0976932	+	0.268708i
$149$	9.47046	−	16.4033i	0.775851	−	1.34381i	−0.158465	−	0.987365i	$-0.550654\pi$
$149$	9.47046	−	16.4033i	0.775851	−	1.34381i	0.934315	−	0.356448i	$-0.116012\pi$
$150$	−4.60374	+	4.31740i	−0.375894	+	0.352514i
$151$	6.75993	−	3.90285i	0.550115	−	0.317609i	−0.199053	−	0.979989i	$-0.563787\pi$
$151$	6.75993	−	3.90285i	0.550115	−	0.317609i	0.749169	+	0.662379i	$0.230453\pi$
$152$	−17.5669	−	7.28745i	−1.42486	−	0.591090i
$153$	4.36605	−	4.36605i	0.352974	−	0.352974i
$154$	−16.6389	−	9.88512i	−1.34080	−	0.796566i
$155$	−3.99587	−	2.51284i	−0.320956	−	0.201836i
$156$	3.82399	+	5.46536i	0.306164	+	0.437579i
$157$	2.96101	+	0.793400i	0.236314	+	0.0633202i	0.375032	−	0.927012i	$-0.377632\pi$
$157$	2.96101	+	0.793400i	0.236314	+	0.0633202i	−0.138718	+	0.990332i	$0.544298\pi$
$158$	−6.64641	+	12.7621i	−0.528760	+	1.01530i
$159$	1.30909	−	2.26741i	0.103818	−	0.179817i
$160$	−8.17876	−	9.64924i	−0.646588	−	0.762839i
$161$	10.5548	−	9.43565i	0.831834	−	0.743633i
$162$	−1.87216	−	2.93986i	−0.147091	−	0.230977i
$163$	−1.77928	−	6.64035i	−0.139364	−	0.520112i	−0.999942	−	0.0107937i	$-0.996564\pi$
$163$	−1.77928	−	6.64035i	−0.139364	−	0.520112i	0.860578	−	0.509319i	$-0.170102\pi$
$164$	−4.06541	+	0.354216i	−0.317455	+	0.0276597i
$165$	7.57032	−	7.01901i	0.589348	−	0.546429i
$166$	2.53876	−	2.76958i	0.197046	−	0.214961i
$167$	−4.67608	+	4.67608i	−0.361846	+	0.361846i	−0.864492	−	0.502646i	$-0.832360\pi$
$167$	−4.67608	+	4.67608i	−0.361846	+	0.361846i	0.502646	+	0.864492i	$0.332360\pi$
$168$	6.30538	−	2.20380i	0.486470	−	0.170027i
$169$			0.961892i			0.0739917i
$170$	8.54677	−	2.34225i	0.655507	−	0.179643i
$171$	−7.40758	−	12.8303i	−0.566472	−	0.981158i
$172$	−6.16062	+	7.33663i	−0.469743	+	0.559413i
$173$	−19.1301	+	5.12589i	−1.45443	+	0.389714i	−0.897563	−	0.440886i	$-0.854664\pi$
$173$	−19.1301	+	5.12589i	−1.45443	+	0.389714i	−0.556869	+	0.830600i	$0.687997\pi$
$174$	10.5893	+	2.34957i	0.802771	+	0.178120i
$175$	−1.73413	+	13.1146i	−0.131088	+	0.991371i
$176$	13.2880	+	15.8590i	1.00162	+	1.19541i
$177$	5.89580	−	1.57978i	0.443156	−	0.118743i
$178$	18.7893	+	9.78534i	1.40832	+	0.733443i
$179$	0.879586	−	0.507829i	0.0657434	−	0.0379569i	−0.466768	−	0.884380i	$-0.654582\pi$
$179$	0.879586	−	0.507829i	0.0657434	−	0.0379569i	0.532511	+	0.846423i	$0.321248\pi$
$180$	−0.484002	−	9.84162i	−0.0360754	−	0.733551i
$181$		−	12.6493i		−	0.940212i	−0.882610	−	0.470106i	$-0.844216\pi$
$181$		−	12.6493i		−	0.940212i	0.882610	−	0.470106i	$-0.155784\pi$
$182$	13.4584	+	3.78665i	0.997601	+	0.280685i
$183$	4.55901	+	4.55901i	0.337011	+	0.337011i
$184$	−13.9860	+	5.78444i	−1.03106	+	0.426435i
$185$	−2.85173	+	2.64405i	−0.209663	+	0.194395i
$186$	−2.54149	+	0.800831i	−0.186351	+	0.0587198i
$187$	−14.0014	+	3.75167i	−1.02389	+	0.274349i
$188$	−1.29043	−	3.54937i	−0.0941143	−	0.258864i
$189$	11.6727	+	3.83877i	0.849068	+	0.279230i
$190$	−0.120872	−	21.2629i	−0.00876896	−	1.54258i
$191$	8.79650	+	5.07866i	0.636493	+	0.367479i	0.783262	−	0.621691i	$-0.213554\pi$
$191$	8.79650	+	5.07866i	0.636493	+	0.367479i	−0.146769	+	0.989171i	$0.546888\pi$
$192$	−7.14059	−	0.00763761i	−0.515327	−	0.000551197i
$193$	−5.41048	−	1.44973i	−0.389455	−	0.104354i	0.0587778	−	0.998271i	$-0.481280\pi$
$193$	−5.41048	−	1.44973i	−0.389455	−	0.104354i	−0.448232	+	0.893917i	$0.647946\pi$
$194$	−1.12372	−	1.03007i	−0.0806787	−	0.0739549i
$195$	−3.97004	+	6.31309i	−0.284301	+	0.452090i
$196$	7.30018	−	11.9460i	0.521441	−	0.853287i
$197$	1.67572	−	1.67572i	0.119390	−	0.119390i	−0.644887	−	0.764278i	$-0.723096\pi$
$197$	1.67572	−	1.67572i	0.119390	−	0.119390i	0.764278	+	0.644887i	$0.223096\pi$
$198$	0.700156	+	16.1021i	0.0497579	+	1.14432i
$199$	−1.10936	−	1.92146i	−0.0786402	−	0.136209i	0.824023	−	0.566556i	$-0.191725\pi$
$199$	−1.10936	−	1.92146i	−0.0786402	−	0.136209i	−0.902663	+	0.430347i	$0.858391\pi$
$200$	6.38932	−	12.6165i	0.451794	−	0.892123i
$201$	−4.15645	+	7.19919i	−0.293174	+	0.507792i
$202$	20.6926	−	13.1774i	1.45593	−	0.927162i
$203$	20.2936	−	10.2491i	1.42433	−	0.719347i
$204$	2.11583	−	4.53320i	0.148138	−	0.317388i
$205$	−2.13041	−	4.03455i	−0.148794	−	0.281785i
$206$	−15.1457	+	4.77247i	−1.05525	+	0.332514i
$207$	−11.3883	−	3.05148i	−0.791539	−	0.212092i
$208$	−12.2371	−	8.58154i	−0.848492	−	0.595023i
$209$			34.7801i			2.40579i
$210$	5.00869	+	5.53906i	0.345632	+	0.382232i
$211$	4.11695			0.283423			0.141711	−	0.989908i	$-0.454740\pi$
$211$	4.11695			0.283423			0.141711	+	0.989908i	$0.454740\pi$
$212$	−1.02078	+	5.77710i	−0.0701076	+	0.396773i
$213$	−2.74137	+	10.2309i	−0.187836	+	0.701012i
$214$	−1.37010	+	0.431722i	−0.0936580	+	0.0295119i
$215$	−10.2339	−	3.16090i	−0.697947	−	0.215571i
$216$	−10.4174	−	8.00237i	−0.708811	−	0.544492i
$217$	−3.05857	+	4.67322i	−0.207629	+	0.317239i
$218$	5.71690	+	8.97726i	0.387197	+	0.608017i
$219$	−1.96320	−	1.13346i	−0.132661	−	0.0765918i
$220$	−10.5681	+	20.5770i	−0.712501	+	1.38730i
$221$	9.06839	−	5.23564i	0.610006	−	0.352187i
$222$	0.0953677	+	2.19325i	0.00640066	+	0.147201i
$223$	−1.63523	−	1.63523i	−0.109503	−	0.109503i	0.650232	−	0.759735i	$-0.274671\pi$
$223$	−1.63523	−	1.63523i	−0.109503	−	0.109503i	−0.759735	+	0.650232i	$0.774671\pi$
$224$	−11.5909	+	9.46838i	−0.774452	+	0.632633i
$225$	9.92912	−	4.77255i	0.661941	−	0.318170i
$226$	5.85690	−	6.38939i	0.389595	−	0.425016i
$227$	−1.81553	+	6.77566i	−0.120501	+	0.449717i	−0.999639	−	0.0268502i	$-0.991452\pi$
$227$	−1.81553	+	6.77566i	−0.120501	+	0.449717i	0.879138	+	0.476567i	$0.158119\pi$
$228$	−9.19239	−	7.71892i	−0.608781	−	0.511198i
$229$	−8.13755	+	14.0946i	−0.537744	+	0.931401i	0.461281	+	0.887254i	$0.347390\pi$
$229$	−8.13755	+	14.0946i	−0.537744	+	0.931401i	−0.999025	+	0.0441464i	$0.985943\pi$
$230$	−12.0331	−	11.8971i	−0.793439	−	0.784469i
$231$	−8.14102	−	9.10661i	−0.535640	−	0.599171i
$232$	−24.0983	+	3.15950i	−1.58213	+	0.207431i
$233$	−1.17018	−	4.36716i	−0.0766609	−	0.286102i	0.916944	−	0.399016i	$-0.130648\pi$
$233$	−1.17018	−	4.36716i	−0.0766609	−	0.286102i	−0.993605	+	0.112914i	$0.963982\pi$
$234$	−3.49912	−	11.1047i	−0.228745	−	0.725937i
$235$	3.09633	−	2.87084i	0.201982	−	0.187273i
$236$	−11.2062	+	7.84071i	−0.729461	+	0.510387i
$237$	−6.42165	+	6.42165i	−0.417131	+	0.417131i
$238$	−2.58735	−	10.1613i	−0.167713	−	0.658661i
$239$	−19.6168			−1.26891			−0.634453	−	0.772961i	$-0.718775\pi$
$239$	−19.6168			−1.26891			−0.634453	+	0.772961i	$0.718775\pi$
$240$	−3.09307	−	7.35989i	−0.199657	−	0.475079i
$241$	−6.01605	−	10.4201i	−0.387528	−	0.671218i	0.604588	−	0.796538i	$-0.293338\pi$
$241$	−6.01605	−	10.4201i	−0.387528	−	0.671218i	−0.992116	+	0.125320i	$0.960004\pi$
$242$	10.2916	−	19.7614i	0.661568	−	1.27031i
$243$	−4.17547	−	15.5831i	−0.267857	−	0.999655i
$244$	−13.0910	−	6.11014i	−0.838068	−	0.391162i
$245$	15.4776	+	2.33321i	0.988828	+	0.149063i
$246$	−2.51443	−	0.557906i	−0.160314	−	0.0355708i
$247$	−6.50278	−	24.2687i	−0.413762	−	1.54418i
$248$	4.73888	−	3.63224i	0.300919	−	0.230648i
$249$	2.05359	−	1.18564i	0.130141	−	0.0751369i
$250$	15.7728	+	1.10363i	0.997561	+	0.0697995i
$251$	11.0531			0.697665			0.348832	−	0.937185i	$-0.386578\pi$
$251$	11.0531			0.697665			0.348832	+	0.937185i	$0.386578\pi$
$252$	−11.6532	+	0.361187i	−0.734085	+	0.0227527i
$253$	19.5715	+	19.5715i	1.23045	+	1.23045i
$254$	3.46935	−	3.78478i	0.217686	−	0.237478i
$255$	5.58916	+	0.211205i	0.350007	+	0.0132262i
$256$	15.0429	−	5.45087i	0.940179	−	0.340680i
$257$	30.2822	−	8.11409i	1.88895	−	0.506143i	0.890236	−	0.455500i	$-0.150539\pi$
$257$	30.2822	−	8.11409i	1.88895	−	0.506143i	0.998717	−	0.0506434i	$-0.0161272\pi$
$258$	−5.10012	+	3.24786i	−0.317520	+	0.202203i
$259$	3.06671	+	3.43045i	0.190556	+	0.213158i
$260$	3.52691	−	16.3340i	0.218730	−	1.01299i
$261$	−16.3964	−	9.46649i	−1.01491	−	0.585961i
$262$	4.86591	−	9.34326i	0.300617	−	0.577229i
$263$	−6.42303	+	23.9711i	−0.396061	+	1.47812i	0.423905	+	0.905707i	$0.360659\pi$
$263$	−6.42303	+	23.9711i	−0.396061	+	1.47812i	−0.819966	+	0.572412i	$0.806008\pi$
$264$	4.99078	+	12.0671i	0.307161	+	0.742676i
$265$	−6.39514	+	1.45716i	−0.392850	+	0.0895124i
$266$	−25.1571	−	0.313733i	−1.54248	−	0.0192362i
$267$	9.45444	+	9.45444i	0.578602	+	0.578602i
$268$	3.24105	−	18.3427i	0.197979	−	1.12046i
$269$	−11.6848	−	20.2387i	−0.712436	−	1.23398i	−0.963940	−	0.266119i	$-0.914259\pi$
$269$	−11.6848	−	20.2387i	−0.712436	−	1.23398i	0.251504	−	0.967856i	$-0.419075\pi$
$270$	3.72049	−	14.2076i	0.226422	−	0.864649i
$271$	13.6494	+	7.88051i	0.829145	+	0.478707i	0.853560	−	0.520995i	$-0.174439\pi$
$271$	13.6494	+	7.88051i	0.829145	+	0.478707i	−0.0244151	+	0.999702i	$0.507772\pi$
$272$	−0.984937	+	11.1662i	−0.0597206	+	0.677049i
$273$	7.38324	+	4.83225i	0.446854	+	0.292461i
$274$	−3.93209	+	17.7216i	−0.237546	+	1.07060i
$275$	−25.7888	−	1.95182i	−1.55512	−	0.117699i
$276$	−9.51633	+	0.829152i	−0.572816	+	0.0499091i
$277$	13.4260	+	3.59748i	0.806688	+	0.216151i	0.638518	−	0.769607i	$-0.279548\pi$
$277$	13.4260	+	3.59748i	0.806688	+	0.216151i	0.168170	+	0.985758i	$0.446214\pi$
$278$	0.198491	+	4.56486i	0.0119047	+	0.273782i
$279$	4.65116			0.278458
$280$	−14.7884	−	7.82971i	−0.883774	−	0.467915i
$281$	1.11846			0.0667218			0.0333609	−	0.999443i	$-0.489379\pi$
$281$	1.11846			0.0667218			0.0333609	+	0.999443i	$0.489379\pi$
$282$	−0.103548	−	2.38137i	−0.00616617	−	0.141809i
$283$	−12.5164	−	3.35377i	−0.744025	−	0.199361i	−0.133159	−	0.991095i	$-0.542512\pi$
$283$	−12.5164	−	3.35377i	−0.744025	−	0.199361i	−0.610866	+	0.791734i	$0.709179\pi$
$284$	−2.06006	−	23.6437i	−0.122242	−	1.40300i
$285$	3.96043	−	12.8225i	0.234596	−	0.759541i
$286$	−5.92071	+	26.6841i	−0.350099	+	1.57786i
$287$	−4.81872	+	2.43366i	−0.284440	+	0.143654i
$288$	11.8836	+	3.75854i	0.700248	+	0.221474i
$289$	7.92124	+	4.57333i	0.465955	+	0.269019i
$290$	−13.7202	−	23.4552i	−0.805679	−	1.37734i
$291$	−0.481060	−	0.833220i	−0.0282002	−	0.0488442i
$292$	5.00201	+	0.883828i	0.292720	+	0.0517221i
$293$	−12.8872	−	12.8872i	−0.752881	−	0.752881i	0.222135	−	0.975016i	$-0.428697\pi$
$293$	−12.8872	−	12.8872i	−0.752881	−	0.752881i	−0.975016	+	0.222135i	$0.928697\pi$
$294$	6.66041	−	5.80640i	0.388443	−	0.338636i
$295$	−12.9444	−	8.14018i	−0.753651	−	0.473940i
$296$	−1.88002	−	4.54565i	−0.109274	−	0.264210i
$297$	−6.21758	+	23.2043i	−0.360780	+	1.34645i
$298$	−12.3729	+	23.7577i	−0.716741	+	1.37625i
$299$	−17.3157	−	9.99723i	−1.00139	−	0.578155i
$300$	6.23929	−	6.38280i	0.360225	−	0.368511i
$301$	−3.95923	+	12.0390i	−0.228206	+	0.693919i
$302$	−9.31119	+	5.92955i	−0.535799	+	0.341207i
$303$	14.9558	−	4.00739i	0.859187	−	0.230219i
$304$	25.2676	+	9.21705i	1.44919	+	0.528634i
$305$	0.609922	−	16.1405i	0.0349240	−	0.924200i
$306$	−5.90046	+	6.43692i	−0.337307	+	0.367974i
$307$	−3.47398	−	3.47398i	−0.198270	−	0.198270i	0.600988	−	0.799258i	$-0.294774\pi$
$307$	−3.47398	−	3.47398i	−0.198270	−	0.198270i	−0.799258	+	0.600988i	$0.794774\pi$
$308$	24.1160	+	12.9443i	1.37414	+	0.737568i
$309$	−10.0225			−0.570160
$310$	5.80006	+	3.30485i	0.329421	+	0.187703i
$311$	9.38186	−	5.41662i	0.531996	−	0.307148i	−0.209833	−	0.977737i	$-0.567292\pi$
$311$	9.38186	−	5.41662i	0.531996	−	0.307148i	0.741829	+	0.670589i	$0.233959\pi$
$312$	−5.73859	−	7.48697i	−0.324884	−	0.423866i
$313$	7.73798	+	28.8785i	0.437377	+	1.63231i	0.735314	+	0.677727i	$0.237035\pi$
$313$	7.73798	+	28.8785i	0.437377	+	1.63231i	−0.297937	+	0.954585i	$0.596299\pi$
$314$	−4.23229	−	0.939067i	−0.238842	−	0.0529946i
$315$	−5.43275	−	11.8489i	−0.306101	−	0.667608i
$316$	8.60653	−	18.4396i	0.484155	−	1.03731i
$317$	0.767990	+	2.86618i	0.0431346	+	0.160981i	0.984134	−	0.177429i	$-0.0567779\pi$
$317$	0.767990	+	2.86618i	0.0431346	+	0.160981i	−0.940999	+	0.338409i	$0.890111\pi$
$318$	−1.71029	+	3.28400i	−0.0959082	+	0.184158i
$319$	22.2236	+	38.4924i	1.24428	+	2.15516i
$320$	12.1484	+	13.1307i	0.679116	+	0.734031i
$321$	−0.906645			−0.0506040
$322$	−14.3329	+	13.9799i	−0.798744	+	0.779067i
$323$	−13.3242	+	13.3242i	−0.741381	+	0.741381i
$324$	2.82574	+	4.03864i	0.156986	+	0.224369i
$325$	18.3597	−	3.45975i	1.01841	−	0.191912i
$326$	2.92185	+	9.27270i	0.161826	+	0.513567i
$327$	1.73856	+	6.48841i	0.0961428	+	0.358810i
$328$	5.72216	−	0.750224i	0.315954	−	0.0414242i
$329$	−3.32976	−	3.72469i	−0.183575	−	0.205349i
$330$	−10.2647	+	10.3821i	−0.565054	+	0.571515i
$331$	−2.02130	+	3.50100i	−0.111101	+	0.192432i	−0.916214	−	0.400688i	$-0.868771\pi$
$331$	−2.02130	+	3.50100i	−0.111101	+	0.192432i	0.805114	+	0.593121i	$0.202104\pi$
$332$	−3.41681	+	4.06905i	−0.187522	+	0.223318i
$333$	0.991771	−	3.70134i	0.0543487	−	0.202832i
$334$	6.31946	−	6.89401i	0.345785	−	0.377224i
$335$	20.3050	−	4.62657i	1.10938	−	0.252776i
$336$	−8.77334	+	3.50107i	−0.478625	+	0.190999i
$337$	21.4179	+	21.4179i	1.16671	+	1.16671i	0.982977	+	0.183728i	$0.0588166\pi$
$337$	21.4179	+	21.4179i	1.16671	+	1.16671i	0.183728	+	0.982977i	$0.441183\pi$
$338$	−0.0590941	−	1.35904i	−0.00321430	−	0.0739219i
$339$	4.73761	−	2.73526i	0.257312	−	0.148559i
$340$	−11.9317	+	3.83439i	−0.647085	+	0.207949i
$341$	−9.45621	−	5.45955i	−0.512082	−	0.295651i
$342$	11.2542	+	17.6726i	0.608560	+	0.955624i
$343$	3.09269	−	18.2602i	0.166990	−	0.985959i
$344$	8.25349	−	10.7443i	0.444998	−	0.579291i
$345$	−4.98688	−	9.44411i	−0.268485	−	0.508454i
$346$	26.7135	−	8.41751i	1.43613	−	0.452528i
$347$	−3.25483	+	12.1472i	−0.174728	+	0.652095i	0.821869	+	0.569676i	$0.192931\pi$
$347$	−3.25483	+	12.1472i	−0.174728	+	0.652095i	−0.996598	+	0.0824193i	$0.973735\pi$
$348$	−15.1057	−	2.66910i	−0.809751	−	0.143079i
$349$	10.2130			0.546692			0.273346	−	0.961916i	$-0.411870\pi$
$349$	10.2130			0.546692			0.273346	+	0.961916i	$0.411870\pi$
$350$	1.64441	−	18.6359i	0.0878975	−	0.996130i
$351$		−	17.3539i		−	0.926281i
$352$	−19.7486	−	21.5904i	−1.05260	−	1.15077i
$353$	1.39655	+	0.374204i	0.0743308	+	0.0199169i	0.295793	−	0.955252i	$-0.404416\pi$
$353$	1.39655	+	0.374204i	0.0743308	+	0.0199169i	−0.221462	+	0.975169i	$0.571083\pi$
$354$	−8.23300	+	2.59424i	−0.437579	+	0.137882i
$355$	23.4642	−	12.3901i	1.24535	−	0.657598i
$356$	−27.1482	−	12.6712i	−1.43885	−	0.671571i
$357$	0.369915	−	6.60756i	0.0195780	−	0.349709i
$358$	−1.21155	+	0.771539i	−0.0640324	+	0.0407771i
$359$	3.29173	−	5.70145i	0.173731	−	0.300911i	−0.765990	−	0.642852i	$-0.777751\pi$
$359$	3.29173	−	5.70145i	0.173731	−	0.300911i	0.939721	+	0.341941i	$0.111084\pi$
$360$	1.28846	+	13.8753i	0.0679077	+	0.731291i
$361$	13.1064	+	22.7009i	0.689809	+	1.19478i
$362$	0.777110	+	17.8719i	0.0408440	+	0.939324i
$363$	9.94357	−	9.94357i	0.521902	−	0.521902i
$364$	−19.2477	−	4.52326i	−1.00885	−	0.237083i
$365$	1.26166	+	5.53713i	0.0660380	+	0.289827i
$366$	−6.72140	−	6.16124i	−0.351333	−	0.322053i
$367$	−6.38508	−	1.71088i	−0.333298	−	0.0893070i	0.0882888	−	0.996095i	$-0.471860\pi$
$367$	−6.38508	−	1.71088i	−0.333298	−	0.0893070i	−0.421587	+	0.906788i	$0.638527\pi$
$368$	19.4052	−	9.03194i	1.01157	−	0.470823i
$369$	3.89334	+	2.24782i	0.202679	+	0.117017i
$370$	3.86671	−	3.91092i	0.201021	−	0.203319i
$371$	1.58648	+	7.59688i	0.0823659	+	0.394410i
$372$	3.54162	−	1.28761i	0.183624	−	0.0667597i
$373$	0.632328	−	0.169432i	0.0327407	−	0.00877285i	−0.242412	−	0.970174i	$-0.577938\pi$
$373$	0.632328	−	0.169432i	0.0327407	−	0.00877285i	0.275152	+	0.961401i	$0.411272\pi$
$374$	19.5518	−	6.16083i	1.01100	−	0.318569i
$375$	9.28539	+	3.65616i	0.479495	+	0.188803i
$376$	2.04128	+	4.93554i	0.105271	+	0.254531i
$377$	−22.7039	−	22.7039i	−1.16931	−	1.16931i
$378$	−16.7280	−	4.70660i	−0.860396	−	0.242081i
$379$			28.3933i			1.45847i	0.684264	+	0.729234i	$0.260123\pi$
$379$			28.3933i			1.45847i	−0.684264	+	0.729234i	$0.739877\pi$
$380$	1.47707	+	30.0345i	0.0757722	+	1.54074i
$381$	2.80634	−	1.62024i	0.143773	−	0.0830075i
$382$	−12.7404	−	6.63512i	−0.651856	−	0.339482i
$383$	13.1980	−	3.53639i	0.674386	−	0.180701i	0.0946564	−	0.995510i	$-0.469825\pi$
$383$	13.1980	−	3.53639i	0.674386	−	0.180701i	0.579730	+	0.814809i	$0.303158\pi$
$384$	10.0892	−	0.427893i	0.514865	−	0.0218358i
$385$	−2.86298	+	30.4667i	−0.145911	+	1.55273i
$386$	7.73341	+	1.71590i	0.393620	+	0.0873371i
$387$	10.1944	−	2.73159i	0.518212	−	0.138854i
$388$	1.65097	+	1.38633i	0.0838153	+	0.0703803i
$389$	−8.41781	−	14.5801i	−0.426800	−	0.739239i	0.569787	−	0.821793i	$-0.307026\pi$
$389$	−8.41781	−	14.5801i	−0.426800	−	0.739239i	−0.996587	+	0.0825534i	$0.973693\pi$
$390$	5.22134	−	9.16353i	0.264393	−	0.464013i
$391$			14.9956i			0.758362i
$392$	−9.58036	+	17.3268i	−0.483881	+	0.875134i
$393$	4.70137	−	4.70137i	0.237153	−	0.237153i
$394$	−2.26464	+	2.47054i	−0.114091	+	0.124464i
$395$	22.7349	+	0.859115i	1.14392	+	0.0432268i
$396$	−1.97847	−	22.7073i	−0.0994218	−	1.14108i
$397$	−0.550075	−	2.05291i	−0.0276075	−	0.103032i	0.950747	−	0.309967i	$-0.100318\pi$
$397$	−0.550075	−	2.05291i	−0.0276075	−	0.103032i	−0.978355	+	0.206934i	$0.933651\pi$
$398$	1.68543	+	2.64664i	0.0844831	+	0.132664i
$399$	−15.0842	−	4.96070i	−0.755157	−	0.248346i
$400$	−8.25224	+	18.2181i	−0.412612	+	0.910907i
$401$	4.68044	−	8.10676i	0.233730	−	0.404832i	−0.725173	−	0.688567i	$-0.758240\pi$
$401$	4.68044	−	8.10676i	0.233730	−	0.404832i	0.958903	+	0.283735i	$0.0915735\pi$
$402$	5.43028	−	10.4269i	0.270838	−	0.520048i
$403$	7.61906	+	2.04152i	0.379532	+	0.101695i
$404$	−28.4266	+	19.8894i	−1.41427	+	0.989534i
$405$	−2.93367	+	4.66507i	−0.145775	+	0.231809i
$406$	−28.0427	+	15.7275i	−1.39174	+	0.780543i
$407$	−6.36100	+	6.36100i	−0.315303	+	0.315303i
$408$	−2.71092	+	6.53485i	−0.134210	+	0.323523i
$409$	9.60183	−	5.54362i	0.474780	−	0.274114i	−0.243459	−	0.969911i	$-0.578282\pi$
$409$	9.60183	−	5.54362i	0.474780	−	0.274114i	0.718239	+	0.695797i	$0.244949\pi$
$410$	3.25787	+	5.56945i	0.160895	+	0.275055i
$411$	−5.72844	+	9.92195i	−0.282563	+	0.489414i
$412$	21.1059	−	7.67340i	1.03981	−	0.378041i
$413$	−9.90805	+	15.1386i	−0.487543	+	0.744923i
$414$	16.2777	+	3.61172i	0.800005	+	0.177507i
$415$	−5.67594	−	1.75310i	−0.278621	−	0.0860562i
$416$	17.8168	+	11.3729i	0.873540	+	0.557602i
$417$	−0.746386	+	2.78555i	−0.0365507	+	0.136409i
$418$	−2.13673	−	49.1401i	−0.104511	−	2.40352i
$419$		−	11.2807i		−	0.551100i	−0.961287	−	0.275550i	$-0.911140\pi$
$419$		−	11.2807i		−	0.551100i	0.961287	−	0.275550i	$-0.0888600\pi$
$420$	−7.41696	−	7.51831i	−0.361911	−	0.366856i
$421$			15.1746i			0.739566i	0.929118	+	0.369783i	$0.120568\pi$
$421$			15.1746i			0.739566i	−0.929118	+	0.369783i	$0.879432\pi$
$422$	−5.81675	+	0.252926i	−0.283155	+	0.0123122i
$423$	−1.07684	+	4.01882i	−0.0523577	+	0.195402i
$424$	1.08732	−	8.22505i	0.0528051	−	0.399444i
$425$	−9.13192	−	10.6274i	−0.442963	−	0.515505i
$426$	3.24468	−	14.6235i	0.157205	−	0.708510i
$427$	−19.0814	−	1.06825i	−0.923414	−	0.0516961i
$428$	1.90926	−	0.694143i	0.0922876	−	0.0335527i
$429$	−8.62556	+	14.9399i	−0.416446	+	0.721305i
$430$	14.6535	+	3.83724i	0.706653	+	0.185048i
$431$	−14.6253	+	8.44390i	−0.704474	+	0.406728i	−0.809012	−	0.587793i	$-0.799997\pi$
$431$	−14.6253	+	8.44390i	−0.704474	+	0.406728i	0.104538	+	0.994521i	$0.466664\pi$
$432$	15.2101	+	10.6664i	0.731795	+	0.513187i
$433$	22.5540	−	22.5540i	1.08388	−	1.08388i	0.0877330	−	0.996144i	$-0.472038\pi$
$433$	22.5540	−	22.5540i	1.08388	−	1.08388i	0.996144	−	0.0877330i	$-0.0279622\pi$
$434$	4.03429	−	6.79060i	0.193652	−	0.325959i
$435$	−3.81011	−	16.7217i	−0.182681	−	0.801746i
$436$	−8.62880	−	12.3326i	−0.413245	−	0.590623i
$437$	34.7546	+	9.31246i	1.66254	+	0.445475i
$438$	2.84340	+	1.48083i	0.135863	+	0.0707566i
$439$	−7.02712	+	12.1713i	−0.335386	+	0.580906i	−0.983559	−	0.180587i	$-0.942200\pi$
$439$	−7.02712	+	12.1713i	−0.335386	+	0.580906i	0.648173	+	0.761493i	$0.275534\pi$
$440$	13.6673	−	29.7220i	0.651562	−	1.41694i
$441$	−14.1342	+	6.17254i	−0.673055	+	0.293931i
$442$	−12.4909	+	7.95444i	−0.594130	+	0.378354i
$443$	4.30129	+	16.0526i	0.204361	+	0.762684i	0.989643	+	0.143547i	$0.0458508\pi$
$443$	4.30129	+	16.0526i	0.204361	+	0.762684i	−0.785283	+	0.619137i	$0.787482\pi$
$444$	−0.269486	−	3.09294i	−0.0127892	−	0.146784i
$445$	1.26485	−	33.4720i	0.0599598	−	1.58673i
$446$	2.41084	+	2.20992i	0.114156	+	0.104643i
$447$	−11.9545	+	11.9545i	−0.565427	+	0.565427i
$448$	15.7949	−	14.0898i	0.746238	−	0.665679i
$449$		−	20.1311i		−	0.950045i	−0.879974	−	0.475022i	$-0.842440\pi$
$449$		−	20.1311i		−	0.950045i	0.879974	−	0.475022i	$-0.157560\pi$
$450$	−13.7354	+	7.35303i	−0.647495	+	0.346625i
$451$	−5.27700	−	9.14003i	−0.248484	−	0.430387i
$452$	−7.88255	+	9.38726i	−0.370764	+	0.441539i
$453$	−6.72976	+	1.80323i	−0.316192	+	0.0847233i
$454$	2.14886	−	9.68473i	0.100851	−	0.454527i
$455$	−3.69859	−	21.7942i	−0.173393	−	1.02173i
$456$	13.4619	+	10.3412i	0.630413	+	0.484269i
$457$	−32.0114	+	8.57742i	−1.49743	+	0.401235i	−0.912238	−	0.409661i	$-0.865647\pi$
$457$	−32.0114	+	8.57742i	−1.49743	+	0.401235i	−0.585190	+	0.810896i	$0.698980\pi$
$458$	10.6315	−	20.4140i	0.496776	−	0.953882i
$459$	−11.2715	+	6.50761i	−0.526109	+	0.303749i
$460$	17.7322	+	16.0699i	0.826768	+	0.749261i
$461$			11.5047i			0.535826i	0.963443	+	0.267913i	$0.0863340\pi$
$461$			11.5047i			0.535826i	−0.963443	+	0.267913i	$0.913666\pi$
$462$	12.0617	+	12.3664i	0.561163	+	0.575336i
$463$	−18.1243	−	18.1243i	−0.842308	−	0.842308i	0.146850	−	0.989159i	$-0.453086\pi$
$463$	−18.1243	−	18.1243i	−0.842308	−	0.842308i	−0.989159	+	0.146850i	$0.953086\pi$
$464$	33.8539	−	5.94447i	1.57163	−	0.275965i
$465$	2.86458	+	3.08957i	0.132842	+	0.143276i
$466$	1.92162	+	6.09838i	0.0890171	+	0.282502i
$467$	23.1384	−	6.19992i	1.07072	−	0.286898i	0.319930	−	0.947441i	$-0.396341\pi$
$467$	23.1384	−	6.19992i	1.07072	−	0.286898i	0.750788	+	0.660543i	$0.229674\pi$
$468$	5.62606	+	15.4746i	0.260065	+	0.715315i
$469$	−5.03718	−	24.1206i	−0.232595	−	1.11379i
$470$	−4.19837	+	4.24638i	−0.193656	+	0.195871i
$471$	−2.36958	−	1.36808i	−0.109184	−	0.0630376i
$472$	15.3513	−	11.7664i	0.706601	−	0.541594i
$473$	−23.9325	−	6.41269i	−1.10042	−	0.294856i
$474$	8.67850	−	9.46753i	0.398617	−	0.434858i
$475$	−30.3016	+	14.5648i	−1.39033	+	0.668279i
$476$	4.27988	+	14.1978i	0.196168	+	0.650753i
$477$	4.57001	−	4.57001i	0.209246	−	0.209246i
$478$	27.7162	−	1.20516i	1.26771	−	0.0551229i
$479$	−2.68642	−	4.65301i	−0.122745	−	0.212601i	0.798104	−	0.602520i	$-0.205837\pi$
$479$	−2.68642	−	4.65301i	−0.122745	−	0.212601i	−0.920849	+	0.389918i	$0.872503\pi$
$480$	4.82228	+	10.2086i	0.220106	+	0.465957i
$481$	3.24924	−	5.62784i	0.148152	−	0.256608i
$482$	9.14012	+	14.3528i	0.416321	+	0.653750i
$483$	−11.2797	+	5.69672i	−0.513244	+	0.259210i
$484$	−13.3267	+	28.5527i	−0.605760	+	1.29785i
$485$	−0.711300	+	2.30295i	−0.0322985	+	0.104571i
$486$	6.85679	+	21.7605i	0.311030	+	0.987075i
$487$	−22.8959	−	6.13493i	−1.03751	−	0.278000i	−0.300429	−	0.953804i	$-0.597130\pi$
$487$	−22.8959	−	6.13493i	−1.03751	−	0.278000i	−0.737082	+	0.675804i	$0.763797\pi$
$488$	18.8714	+	7.82863i	0.854270	+	0.354386i
$489$			6.13608i			0.277483i
$490$	−22.0113	−	2.34567i	−0.994370	−	0.105967i
$491$	18.9861			0.856830			0.428415	−	0.903582i	$-0.359072\pi$
$491$	18.9861			0.856830			0.428415	+	0.903582i	$0.359072\pi$
$492$	3.58686	+	0.633779i	0.161708	+	0.0285730i
$493$	−6.23256	+	23.2602i	−0.280700	+	1.04759i
$494$	10.6786	+	33.8892i	0.480452	+	1.52475i
$495$	22.5349	−	11.8994i	1.01287	−	0.534837i
$496$	−6.47231	+	5.42305i	−0.290615	+	0.243502i
$497$	−14.1537	−	28.0248i	−0.634882	−	1.25709i
$498$	−2.82863	+	1.80133i	−0.126754	+	0.0807194i
$499$	4.46622	+	2.57857i	0.199935	+	0.115433i	0.596625	−	0.802520i	$-0.296508\pi$
$499$	4.46622	+	2.57857i	0.199935	+	0.115433i	−0.396690	+	0.917953i	$0.629841\pi$
$500$	−22.3529	−	0.590282i	−0.999652	−	0.0263982i
$501$	5.11178	−	2.95129i	0.228377	−	0.131854i
$502$	−15.6167	+	0.679050i	−0.697006	+	0.0303075i
$503$	−5.46376	−	5.46376i	−0.243617	−	0.243617i	0.574728	−	0.818345i	$-0.305108\pi$
$503$	−5.46376	−	5.46376i	−0.243617	−	0.243617i	−0.818345	+	0.574728i	$0.805108\pi$
$504$	16.4424	−	1.22623i	0.732403	−	0.0546208i
$505$	−32.8358	−	20.6491i	−1.46117	−	0.918871i
$506$	−28.8545	−	26.4497i	−1.28274	−	1.17583i
$507$	0.222212	−	0.829305i	0.00986877	−	0.0368307i
$508$	−4.66925	+	5.56057i	−0.207165	+	0.246710i
$509$	−14.8871	+	25.7853i	−0.659861	+	1.14291i	0.320790	+	0.947150i	$0.396052\pi$
$509$	−14.8871	+	25.7853i	−0.659861	+	1.14291i	−0.980651	+	0.195763i	$0.937282\pi$
$510$	−7.90978	+	0.0449641i	−0.350251	+	0.00199104i
$511$	6.57764	−	1.37363i	0.290978	−	0.0607657i
$512$	−20.9189	+	8.62559i	−0.924492	+	0.381201i
$513$	8.08259	+	30.1646i	0.356855	+	1.33180i
$514$	−42.2866	+	13.3246i	−1.86518	+	0.587724i
$515$	17.0711	+	18.4120i	0.752244	+	0.811329i
$516$	7.00632	−	4.90215i	0.308436	−	0.215805i
$517$	6.90660	−	6.90660i	0.303752	−	0.303752i
$518$	−4.54365	−	4.65840i	−0.199636	−	0.204679i
$519$	17.6773			0.775949
$520$	−3.97961	+	23.2946i	−0.174518	+	1.02154i
$521$	−21.0502	−	36.4601i	−0.922227	−	1.59734i	−0.795961	−	0.605348i	$-0.793034\pi$
$521$	−21.0502	−	36.4601i	−0.922227	−	1.59734i	−0.126266	−	0.991996i	$-0.540299\pi$
$522$	23.7478	+	12.3677i	1.03941	+	0.541319i
$523$	1.74412	+	6.50914i	0.0762650	+	0.284625i	0.993517	−	0.113682i	$-0.0362645\pi$
$523$	1.74412	+	6.50914i	0.0762650	+	0.284625i	−0.917252	+	0.398307i	$0.869598\pi$
$524$	−6.30094	+	13.4998i	−0.275258	+	0.589743i
$525$	4.52477	−	10.9063i	0.197477	−	0.475989i
$526$	7.60229	−	34.2628i	0.331475	−	1.49393i
$527$	−1.53112	−	5.71422i	−0.0666966	−	0.248915i
$528$	−7.79271	−	16.7427i	−0.339134	−	0.728632i
$529$	4.87881	−	2.81678i	0.212122	−	0.122469i
$530$	8.94603	−	2.45167i	0.388591	−	0.106494i
$531$	15.0672			0.653859
$532$	35.5632	−	1.10227i	1.54186	−	0.0477893i
$533$	5.39105	+	5.39105i	0.233512	+	0.233512i
$534$	−13.9388	−	12.7771i	−0.603191	−	0.552921i
$535$	1.54427	+	1.66557i	0.0667647	+	0.0720087i
$536$	−3.45233	+	26.1151i	−0.149118	+	1.12800i
$537$	−0.875660	+	0.234632i	−0.0377875	+	0.0101251i
$538$	17.7526	+	27.8770i	0.765369	+	1.20186i
$539$	35.9813	+	4.04139i	1.54982	+	0.174075i
$540$	−4.38375	+	20.3022i	−0.188647	+	0.873669i
$541$	14.3626	+	8.29226i	0.617497	+	0.356512i	0.775894	−	0.630864i	$-0.217299\pi$
$541$	14.3626	+	8.29226i	0.617497	+	0.356512i	−0.158397	+	0.987376i	$0.550633\pi$
$542$	−19.7691	−	10.2956i	−0.849158	−	0.442236i
$543$	−2.92217	+	10.9057i	−0.125402	+	0.468008i
$544$	0.705600	−	15.8370i	0.0302523	−	0.679004i
$545$	8.95837	−	14.2455i	0.383735	−	0.610208i
$546$	−10.7285	−	6.37379i	−0.459137	−	0.272773i
$547$	−8.94914	−	8.94914i	−0.382637	−	0.382637i	0.489414	−	0.872052i	$-0.337211\pi$
$547$	−8.94914	−	8.94914i	−0.382637	−	0.382637i	−0.872052	+	0.489414i	$0.837211\pi$
$548$	4.46683	−	25.2800i	0.190814	−	1.07991i
$549$	7.95769	+	13.7831i	0.339626	+	0.588249i
$550$	36.5563	+	1.17334i	1.55877	+	0.0500315i
$551$	50.0385	+	28.8897i	2.13171	+	1.23074i
$552$	13.3945	−	1.75613i	0.570107	−	0.0747459i
$553$	1.50469	−	26.8774i	0.0639861	−	1.14294i
$554$	−19.1903	−	4.25797i	−0.815316	−	0.180904i
$555$	3.06946	−	1.62080i	0.130291	−	0.0687993i
$556$	−0.560887	−	6.43740i	−0.0237869	−	0.273007i
$557$	−9.21660	−	2.46958i	−0.390520	−	0.104639i	0.0582158	−	0.998304i	$-0.481459\pi$
$557$	−9.21660	−	2.46958i	−0.390520	−	0.104639i	−0.448736	+	0.893665i	$0.648126\pi$
$558$	−6.57153	+	0.285745i	−0.278195	+	0.0120966i
$559$	17.8984			0.757023
$560$	21.3752	+	10.1539i	0.903266	+	0.429081i
$561$	12.9382			0.546249
$562$	−1.58025	+	0.0687129i	−0.0666588	+	0.00289848i
$563$	−4.39771	−	1.17836i	−0.185342	−	0.0496621i	0.164954	−	0.986301i	$-0.447252\pi$
$563$	−4.39771	−	1.17836i	−0.185342	−	0.0496621i	−0.350296	+	0.936639i	$0.613919\pi$
$564$	0.292601	+	3.35823i	0.0123207	+	0.141407i
$565$	−13.0943	−	4.04439i	−0.550883	−	0.170149i
$566$	17.8903	+	3.96952i	0.751984	+	0.166851i
$567$	5.45586	+	3.57080i	0.229125	+	0.149959i
$568$	4.36317	+	33.2791i	0.183075	+	1.39636i
$569$	−17.7143	−	10.2274i	−0.742623	−	0.428753i	0.0803995	−	0.996763i	$-0.474380\pi$
$569$	−17.7143	−	10.2274i	−0.742623	−	0.428753i	−0.823022	+	0.568009i	$0.807714\pi$
$570$	−4.80785	+	18.3600i	−0.201379	+	0.769015i
$571$	−14.0160	−	24.2764i	−0.586551	−	1.01594i	−0.994680	−	0.103012i	$-0.967152\pi$
$571$	−14.0160	−	24.2764i	−0.586551	−	1.01594i	0.408129	−	0.912924i	$-0.366181\pi$
$572$	6.72590	−	38.0651i	0.281224	−	1.59158i
$573$	−6.41075	−	6.41075i	−0.267813	−	0.267813i
$574$	6.65875	−	3.73450i	0.277931	−	0.155875i
$575$	−8.85538	+	25.2472i	−0.369295	+	1.05288i
$576$	−17.0210	−	4.58028i	−0.709208	−	0.190845i
$577$	2.37207	−	8.85267i	0.0987504	−	0.368542i	−0.898811	−	0.438337i	$-0.855568\pi$
$577$	2.37207	−	8.85267i	0.0987504	−	0.368542i	0.997561	+	0.0697949i	$0.0222345\pi$
$578$	−11.4727	−	5.97491i	−0.477202	−	0.248524i
$579$	4.32979	+	2.49980i	0.179940	+	0.103888i
$580$	20.8260	+	32.2964i	0.864752	+	1.34104i
$581$	−2.19587	+	6.67710i	−0.0911001	+	0.277013i
$582$	0.730868	+	1.14768i	0.0302955	+	0.0475731i
$583$	−14.6555	+	3.92693i	−0.606968	+	0.162637i
$584$	−7.12153	−	0.941442i	−0.294691	−	0.0389571i
$585$	−13.4995	+	12.5164i	−0.558135	+	0.517489i
$586$	18.9999	+	17.4164i	0.784877	+	0.719464i
$587$	−8.31469	−	8.31469i	−0.343184	−	0.343184i	0.514379	−	0.857563i	$-0.328022\pi$
$587$	−8.31469	−	8.31469i	−0.343184	−	0.343184i	−0.857563	+	0.514379i	$0.828022\pi$
$588$	−9.05363	+	8.61293i	−0.373366	+	0.355191i
$589$	−14.1944			−0.584869
$590$	18.7889	+	10.7058i	0.773528	+	0.440753i
$591$	−1.83185	+	1.05762i	−0.0753524	+	0.0435047i
$592$	2.93551	+	6.30695i	0.120649	+	0.259214i
$593$	−7.09546	−	26.4806i	−0.291376	−	1.08743i	−0.944053	−	0.329793i	$-0.893021\pi$
$593$	−7.09546	−	26.4806i	−0.291376	−	1.08743i	0.652677	−	0.757636i	$-0.273646\pi$
$594$	7.35912	−	33.1668i	0.301948	−	1.36085i
$595$	−12.7686	+	10.5750i	−0.523461	+	0.433532i
$596$	16.0218	−	34.3269i	0.656279	−	1.40608i
$597$	0.512557	+	1.91289i	0.0209775	+	0.0782893i
$598$	25.0792	+	13.0611i	1.02556	+	0.534107i
$599$	−13.3572	−	23.1354i	−0.545761	−	0.945286i	−0.998559	−	0.0536723i	$-0.982907\pi$
$599$	−13.3572	−	23.1354i	−0.545761	−	0.945286i	0.452798	−	0.891613i	$-0.350426\pi$
$600$	−8.42323	+	9.40143i	−0.343877	+	0.383812i
$601$	−1.46983			−0.0599557			−0.0299779	−	0.999551i	$-0.509544\pi$
$601$	−1.46983			−0.0599557			−0.0299779	+	0.999551i	$0.509544\pi$
$602$	4.85429	−	17.2529i	0.197846	−	0.703177i
$603$	−14.5101	+	14.5101i	−0.590896	+	0.590896i
$604$	12.7913	−	8.94977i	0.520470	−	0.364161i
$605$	−35.2037	−	1.33029i	−1.43123	−	0.0540840i
$606$	−20.8845	+	6.58077i	−0.848375	+	0.267325i
$607$	−11.1833	−	41.7366i	−0.453916	−	1.69404i	−0.691255	−	0.722611i	$-0.742942\pi$
$607$	−11.1833	−	41.7366i	−0.453916	−	1.69404i	0.237339	−	0.971427i	$-0.423725\pi$
$608$	−36.2663	−	11.4703i	−1.47079	−	0.465180i
$609$	−19.8640	+	4.14826i	−0.804930	+	0.168096i
$610$	0.129848	+	22.8420i	0.00525739	+	0.924845i
$611$	−3.52794	+	6.11056i	−0.142725	+	0.247207i
$612$	7.94118	−	9.45709i	0.321003	−	0.382280i
$613$	5.28148	−	19.7108i	0.213317	−	0.796110i	−0.773435	−	0.633876i	$-0.781463\pi$
$613$	5.28148	−	19.7108i	0.213317	−	0.796110i	0.986752	−	0.162235i	$-0.0518702\pi$
$614$	5.12173	+	4.69488i	0.206696	+	0.189470i
$615$	0.904713	+	3.97059i	0.0364815	+	0.160109i
$616$	−34.8682	−	16.8071i	−1.40488	−	0.677178i
$617$	−5.56908	−	5.56908i	−0.224203	−	0.224203i	0.586063	−	0.810266i	$-0.300677\pi$
$617$	−5.56908	−	5.56908i	−0.224203	−	0.224203i	−0.810266	+	0.586063i	$0.800677\pi$
$618$	14.1606	−	0.615735i	0.569622	−	0.0247685i
$619$	37.6668	−	21.7469i	1.51396	−	0.874083i	0.514091	−	0.857736i	$-0.328129\pi$
$619$	37.6668	−	21.7469i	1.51396	−	0.874083i	0.999866	−	0.0163476i	$-0.00520384\pi$
$620$	−8.39781	−	4.31302i	−0.337264	−	0.173215i
$621$	21.5225	+	12.4260i	0.863667	+	0.498639i
$622$	−12.9227	+	8.22940i	−0.518151	+	0.329969i
$623$	−39.5709	−	2.21532i	−1.58538	−	0.0887551i
$624$	8.56790	+	10.2256i	0.342991	+	0.409353i
$625$	−9.09903	−	23.2854i	−0.363961	−	0.931414i
$626$	−12.7070	−	40.3265i	−0.507874	−	1.61177i
$627$	8.03474	−	29.9860i	0.320876	−	1.19753i
$628$	6.03740	+	1.06678i	0.240919	+	0.0425690i
$629$	−4.87379			−0.194331
$630$	8.40375	+	16.4072i	0.334814	+	0.653680i
$631$			37.0259i			1.47398i	0.675905	+	0.736989i	$0.263753\pi$
$631$			37.0259i			1.47398i	−0.675905	+	0.736989i	$0.736247\pi$
$632$	−11.0271	+	26.5816i	−0.438636	+	1.05736i
$633$	−3.54947	−	0.951078i	−0.141079	−	0.0378020i
$634$	−1.26116	−	4.00238i	−0.0500871	−	0.158955i
$635$	−7.75648	−	2.39570i	−0.307806	−	0.0950706i
$636$	2.21467	−	4.74497i	0.0878176	−	0.188150i
$637$	−25.8624	+	3.90737i	−1.02471	+	0.154816i
$638$	−33.7640	−	53.0197i	−1.33673	−	2.09907i
$639$	−13.0730	+	22.6430i	−0.517158	+	0.895744i
$640$	−17.9709	−	17.8058i	−0.710363	−	0.703836i
$641$	4.06958	+	7.04873i	0.160739	+	0.278408i	0.935134	−	0.354295i	$-0.115279\pi$
$641$	4.06958	+	7.04873i	0.160739	+	0.278408i	−0.774395	+	0.632702i	$0.781946\pi$
$642$	1.28098	−	0.0557000i	0.0505562	−	0.00219830i
$643$	−12.2561	+	12.2561i	−0.483334	+	0.483334i	−0.906195	−	0.422861i	$-0.861026\pi$
$643$	−12.2561	+	12.2561i	−0.483334	+	0.483334i	0.422861	+	0.906195i	$0.361026\pi$
$644$	19.3919	−	20.6324i	0.764146	−	0.813030i
$645$	8.09306	+	5.08939i	0.318664	+	0.200395i
$646$	18.0070	−	19.6441i	0.708475	−	0.772888i
$647$	45.7059	+	12.2469i	1.79689	+	0.481474i	0.993485	−	0.113965i	$-0.0363552\pi$
$647$	45.7059	+	12.2469i	1.79689	+	0.481474i	0.803401	+	0.595439i	$0.203022\pi$
$648$	−4.24055	−	5.53251i	−0.166584	−	0.217338i
$649$	−30.6328	−	17.6859i	−1.20244	−	0.694231i
$650$	−25.7274	+	6.01613i	−1.00911	+	0.235972i
$651$	3.71656	−	3.32249i	0.145664	−	0.130219i
$652$	−4.69789	−	12.9217i	−0.183984	−	0.506052i
$653$	−13.9792	+	3.74570i	−0.547047	+	0.146581i	−0.521749	−	0.853099i	$-0.674720\pi$
$653$	−13.9792	+	3.74570i	−0.547047	+	0.146581i	−0.0252980	+	0.999680i	$0.508053\pi$
$654$	−2.85500	−	9.06053i	−0.111639	−	0.354295i
$655$	−16.6445	−	0.628968i	−0.650354	−	0.0245758i
$656$	−8.03863	+	1.41152i	−0.313856	+	0.0551105i
$657$	−3.95687	−	3.95687i	−0.154372	−	0.154372i
$658$	4.93337	+	5.05797i	0.192323	+	0.197180i
$659$			11.2433i			0.437976i	0.975727	+	0.218988i	$0.0702756\pi$
$659$			11.2433i			0.437976i	−0.975727	+	0.218988i	$0.929724\pi$
$660$	13.8650	−	15.2992i	0.539694	−	0.595522i
$661$	−27.6088	+	15.9399i	−1.07386	+	0.619992i	−0.929233	−	0.369495i	$-0.879531\pi$
$661$	−27.6088	+	15.9399i	−1.07386	+	0.619992i	−0.144624	+	0.989487i	$0.546197\pi$
$662$	2.64077	−	5.07067i	0.102636	−	0.197077i
$663$	−9.02791	+	2.41902i	−0.350615	+	0.0939470i
$664$	4.57755	−	5.95898i	0.177643	−	0.231253i
$665$	16.5796	+	36.1602i	0.642929	+	1.40223i
$666$	−1.17386	+	5.29048i	−0.0454861	+	0.205002i
$667$	44.4145	−	11.9008i	1.71974	−	0.460802i
$668$	−8.50509	+	10.1286i	−0.329072	+	0.391889i
$669$	1.03206	+	1.78759i	0.0399019	+	0.0691122i
$670$	−28.4043	+	7.78422i	−1.09735	+	0.300731i
$671$		−	37.3630i		−	1.44238i
$672$	12.1806	−	5.48558i	0.469876	−	0.211611i
$673$	−21.2832	+	21.2832i	−0.820408	+	0.820408i	−0.986166	−	0.165759i	$-0.946993\pi$
$673$	−21.2832	+	21.2832i	−0.820408	+	0.820408i	0.165759	+	0.986166i	$0.446993\pi$
$674$	−31.5766	−	28.9450i	−1.21629	−	1.11492i
$675$	−22.8201	+	4.30028i	−0.878344	+	0.165518i
$676$	0.166986	+	1.91652i	0.00642252	+	0.0737125i
$677$	−5.00645	−	18.6843i	−0.192414	−	0.718097i	−0.992921	−	0.118775i	$-0.962103\pi$
$677$	−5.00645	−	18.6843i	−0.192414	−	0.718097i	0.800508	−	0.599322i	$-0.204563\pi$
$678$	−6.52563	+	4.15565i	−0.250615	+	0.159597i
$679$	2.70916	+	0.890950i	0.103968	+	0.0341915i
$680$	16.6224	−	6.15055i	0.637440	−	0.235863i
$681$	3.13056	−	5.42229i	0.119963	−	0.207783i
$682$	13.6959	+	7.13273i	0.524443	+	0.273126i
$683$	38.5192	+	10.3212i	1.47390	+	0.394930i	0.904266	−	0.426970i	$-0.140419\pi$
$683$	38.5192	+	10.3212i	1.47390	+	0.394930i	0.569632	+	0.821900i	$0.307086\pi$
$684$	−16.9866	−	24.2778i	−0.649499	−	0.928285i
$685$	27.9844	−	6.37636i	1.06923	−	0.243628i
$686$	−3.24778	+	25.9895i	−0.124001	+	0.992282i
$687$	10.2719	−	10.2719i	0.391899	−	0.391899i
$688$	−11.0011	+	15.6874i	−0.419413	+	0.598076i
$689$	9.49202	−	5.48022i	0.361617	−	0.208780i
$690$	7.62606	+	13.0370i	0.290319	+	0.496310i
$691$	1.40485	−	2.43327i	0.0534429	−	0.0925658i	−0.838066	−	0.545568i	$-0.816314\pi$
$691$	1.40485	−	2.43327i	0.0534429	−	0.0925658i	0.891509	+	0.453003i	$0.149647\pi$
$692$	−37.2259	+	13.5341i	−1.41512	+	0.514488i
$693$	−13.5932	−	26.9149i	−0.516361	−	1.02241i
$694$	3.85241	−	17.3625i	0.146236	−	0.659070i
$695$	6.38854	−	3.37342i	0.242331	−	0.127961i
$696$	21.5065	+	2.84309i	0.815202	+	0.107767i
$697$	1.47993	−	5.52316i	0.0560562	−	0.209204i
$698$	−14.4298	+	0.627441i	−0.546175	+	0.0237490i
$699$			4.03552i			0.152637i
$700$	−1.17845	+	26.4313i	−0.0445414	+	0.999008i
$701$		−	29.6063i		−	1.11822i	−0.829095	−	0.559108i	$-0.811144\pi$
$701$		−	29.6063i		−	1.11822i	0.829095	−	0.559108i	$-0.188856\pi$
$702$	1.06614	+	24.5189i	0.0402388	+	0.925406i
$703$	−3.02668	+	11.2957i	−0.114153	+	0.426026i
$704$	29.2288	+	29.2914i	1.10160	+	1.10396i
$705$	−3.33274	+	1.75983i	−0.125518	+	0.0662789i
$706$	−1.99614	−	0.442908i	−0.0751259	−	0.0166691i
$707$	−25.1336	+	38.4019i	−0.945245	+	1.44425i
$708$	11.4729	−	4.17115i	0.431176	−	0.156761i
$709$	−9.65549	+	16.7238i	−0.362620	+	0.628075i	−0.988391	−	0.151931i	$-0.951451\pi$
$709$	−9.65549	+	16.7238i	−0.362620	+	0.628075i	0.625772	+	0.780006i	$0.284784\pi$
$710$	−32.3909	+	18.9472i	−1.21561	+	0.711077i
$711$	−19.4144	+	11.2089i	−0.728098	+	0.420367i
$712$	39.1355	+	16.2350i	1.46666	+	0.608432i
$713$	−7.98745	+	7.98745i	−0.299132	+	0.299132i
$714$	−0.116708	+	9.35840i	−0.00436769	+	0.350229i
$715$	42.1374	−	9.60115i	1.57585	−	0.359063i
$716$	1.66437	−	1.16452i	0.0622005	−	0.0435202i
$717$	16.9128	+	4.53178i	0.631622	+	0.169242i
$718$	−4.30055	+	8.25768i	−0.160495	+	0.308174i
$719$	10.0079	−	17.3342i	0.373232	−	0.646457i	−0.616829	−	0.787097i	$-0.711583\pi$
$719$	10.0079	−	17.3342i	0.373232	−	0.646457i	0.990061	+	0.140641i	$0.0449162\pi$
$720$	−2.67287	−	19.5249i	−0.0996118	−	0.727651i
$721$	22.1485	−	19.8000i	0.824852	−	0.737392i
$722$	−19.9123	−	31.2684i	−0.741061	−	1.16369i
$723$	2.77960	+	10.3736i	0.103374	+	0.385798i
$724$	−2.19593	−	25.2030i	−0.0816109	−	0.936663i
$725$	−24.2292	+	35.4813i	−0.899852	+	1.31774i
$726$	−13.4382	+	14.6599i	−0.498737	+	0.544081i
$727$	35.3642	−	35.3642i	1.31159	−	1.31159i	0.391341	−	0.920246i	$-0.372011\pi$
$727$	35.3642	−	35.3642i	1.31159	−	1.31159i	0.920246	−	0.391341i	$-0.127989\pi$
$728$	27.4725	+	5.20833i	1.01820	+	0.193034i
$729$			7.00614i			0.259487i
$730$	−2.12274	−	7.74578i	−0.0785661	−	0.286684i
$731$	−6.71182	−	11.6252i	−0.248246	−	0.429974i
$732$	9.87504	+	8.29215i	0.364992	+	0.306487i
$733$	−16.0140	+	4.29094i	−0.591491	+	0.158490i	−0.542135	−	0.840292i	$-0.682384\pi$
$733$	−16.0140	+	4.29094i	−0.591491	+	0.158490i	−0.0493566	+	0.998781i	$0.515717\pi$
$734$	9.12645	+	2.02499i	0.336863	+	0.0747438i
$735$	−12.8052	−	5.58716i	−0.472326	−	0.206085i
$736$	−26.8623	+	13.9532i	−0.990157	+	0.514322i
$737$	46.5322	−	12.4683i	1.71404	−	0.459274i
$738$	−5.63892	−	2.93671i	−0.207571	−	0.108102i
$739$	−37.1902	+	21.4718i	−1.36806	+	0.789853i	−0.990681	−	0.136204i	$-0.956510\pi$
$739$	−37.1902	+	21.4718i	−1.36806	+	0.789853i	−0.377384	+	0.926057i	$0.623176\pi$
$740$	−5.22292	+	5.76321i	−0.191998	+	0.211860i
$741$			22.4257i			0.823830i
$742$	−2.70822	−	10.6360i	−0.0994218	−	0.390460i
$743$	−1.79755	−	1.79755i	−0.0659457	−	0.0659457i	0.673365	−	0.739310i	$-0.264848\pi$
$743$	−1.79755	−	1.79755i	−0.0659457	−	0.0659457i	−0.739310	+	0.673365i	$0.764848\pi$
$744$	−4.92477	+	2.03682i	−0.180551	+	0.0746735i
$745$	42.3230	+	1.59932i	1.55059	+	0.0585944i
$746$	−0.882994	+	0.278234i	−0.0323287	+	0.0101869i
$747$	5.65403	−	1.51499i	0.206870	−	0.0554307i
$748$	−27.2458	+	9.90568i	−0.996207	+	0.362187i
$749$	2.00357	−	1.79113i	0.0732089	−	0.0654465i
$750$	−13.3437	−	4.59526i	−0.487245	−	0.167795i
$751$	9.13644	+	5.27492i	0.333393	+	0.192485i	0.657347	−	0.753588i	$-0.271679\pi$
$751$	9.13644	+	5.27492i	0.333393	+	0.192485i	−0.323953	+	0.946073i	$0.605012\pi$
$752$	−3.18729	−	6.84792i	−0.116229	−	0.249718i
$753$	−9.52953	−	2.55343i	−0.347275	−	0.0930522i
$754$	33.4727	+	30.6830i	1.21900	+	1.11741i
$755$	14.7753	+	9.29160i	0.537730	+	0.338156i
$756$	23.9238	+	5.62216i	0.870100	+	0.204476i
$757$	−6.85387	+	6.85387i	−0.249108	+	0.249108i	−0.820605	−	0.571496i	$-0.806363\pi$
$757$	−6.85387	+	6.85387i	−0.249108	+	0.249108i	0.571496	+	0.820605i	$0.306363\pi$
$758$	−1.74435	−	40.1163i	−0.0633577	−	1.45709i
$759$	−12.3524	−	21.3951i	−0.448365	−	0.776591i
$760$	−3.93210	−	42.3444i	−0.142632	−	1.53599i
$761$	−13.8440	+	23.9784i	−0.501843	+	0.869217i	0.498155	+	0.867088i	$0.334011\pi$
$761$	−13.8440	+	23.9784i	−0.501843	+	0.869217i	−0.999998	+	0.00212926i	$0.999322\pi$
$762$	−3.86548	+	2.46161i	−0.140031	+	0.0891748i
$763$	−16.6602	−	10.9039i	−0.603141	−	0.394749i
$764$	18.4083	+	8.59191i	0.665988	+	0.310844i
$765$	13.1918	+	4.07447i	0.476949	+	0.147313i
$766$	−18.4299	+	5.80732i	−0.665900	+	0.209827i
$767$	24.6815	+	6.61338i	0.891196	+	0.238795i
$768$	−14.2286	+	1.22440i	−0.513430	+	0.0441816i
$769$			26.1600i			0.943354i	0.881771	+	0.471677i	$0.156351\pi$
$769$			26.1600i			0.943354i	−0.881771	+	0.471677i	$0.843649\pi$
$770$	2.17332	−	43.2217i	0.0783209	−	1.55760i
$771$	−27.9826			−1.00777
$772$	−11.0318	−	1.94926i	−0.397043	−	0.0701553i
$773$	9.62060	−	35.9046i	0.346029	−	1.29140i	−0.545377	−	0.838191i	$-0.683613\pi$
$773$	9.62060	−	35.9046i	0.346029	−	1.29140i	0.891406	−	0.453206i	$-0.149720\pi$
$774$	−14.2357	+	4.48570i	−0.511690	+	0.161235i
$775$	0.796570	−	10.5248i	0.0286136	−	0.378063i
$776$	−2.41779	−	1.85729i	−0.0867936	−	0.0666728i
$777$	−1.85151	−	3.66605i	−0.0664227	−	0.131519i
$778$	12.7891	+	20.0827i	0.458511	+	0.720001i
$779$	−11.8817	−	6.85988i	−0.425705	−	0.245781i
$780$	−6.81416	+	13.2677i	−0.243986	+	0.475061i
$781$	53.1568	−	30.6901i	1.90210	−	1.09818i
$782$	−0.921261	−	21.1870i	−0.0329442	−	0.757646i
$783$	28.2197	+	28.2197i	1.00849	+	1.00849i
$784$	12.4714	−	25.0692i	0.445408	−	0.895328i
$785$	1.52281	+	6.68329i	0.0543515	+	0.238537i
$786$	−6.35363	+	6.93129i	−0.226626	+	0.247231i
$787$	−12.2847	+	45.8472i	−0.437903	+	1.63428i	0.296119	+	0.955151i	$0.404308\pi$
$787$	−12.2847	+	45.8472i	−0.437903	+	1.63428i	−0.734022	+	0.679126i	$0.762359\pi$
$788$	3.04788	−	3.62970i	0.108576	−	0.129303i
$789$	11.0754	−	19.1831i	0.394293	−	0.682935i
$790$	−32.1744	+	0.182899i	−1.14471	+	0.00650727i
$791$	−5.06586	+	15.4040i	−0.180121	+	0.547704i
$792$	4.19036	+	31.9610i	0.148898	+	1.13569i
$793$	6.98569	+	26.0710i	0.248069	+	0.925807i
$794$	0.903310	+	2.86672i	0.0320573	+	0.101736i
$795$	5.85026	+	0.221072i	0.207487	+	0.00784061i
$796$	−2.54391	−	3.63584i	−0.0901664	−	0.128869i
$797$	−7.41623	+	7.41623i	−0.262696	+	0.262696i	−0.826149	−	0.563452i	$-0.809473\pi$
$797$	−7.41623	+	7.41623i	−0.262696	+	0.262696i	0.563452	+	0.826149i	$0.309473\pi$
$798$	21.6170	+	6.08216i	0.765233	+	0.215306i
$799$	5.29183			0.187211
$800$	10.5402	−	26.2470i	0.372652	−	0.927971i
$801$	16.5026	+	28.5834i	0.583091	+	1.00994i
$802$	−6.11485	+	11.7414i	−0.215923	+	0.414604i
$803$	3.40007	+	12.6892i	0.119986	+	0.447793i
$804$	−7.03174	+	15.0656i	−0.247990	+	0.531323i
$805$	29.6778	+	11.0184i	1.04600	+	0.388348i
$806$	−10.8902	−	2.41634i	−0.383592	−	0.0851120i
$807$	5.39874	+	20.1484i	0.190045	+	0.709256i
$808$	38.9414	−	29.8477i	1.36995	−	1.05004i
$809$	15.6736	−	9.04917i	0.551055	−	0.318152i	−0.198492	−	0.980102i	$-0.563604\pi$
$809$	15.6736	−	9.04917i	0.551055	−	0.318152i	0.749547	+	0.661951i	$0.230271\pi$
$810$	3.85832	−	6.77141i	0.135568	−	0.237923i
$811$	47.5124			1.66838			0.834192	−	0.551474i	$-0.185934\pi$
$811$	47.5124			1.66838			0.834192	+	0.551474i	$0.185934\pi$
$812$	38.6547	−	23.9439i	1.35651	−	0.840265i
$813$	−9.94749	−	9.94749i	−0.348874	−	0.348874i
$814$	8.59653	−	9.37811i	0.301308	−	0.328702i
$815$	11.2724	−	10.4515i	0.394855	−	0.366099i
$816$	3.42873	−	9.39949i	0.120029	−	0.329048i
$817$	−31.1112	+	8.33623i	−1.08844	+	0.291648i
$818$	−13.2256	+	8.42235i	−0.462424	+	0.294481i
$819$	14.5172	+	16.2390i	0.507271	+	0.567437i
$820$	−4.94514	−	7.66880i	−0.172692	−	0.267806i
$821$	29.8734	+	17.2474i	1.04259	+	0.601939i	0.920565	−	0.390589i	$-0.127728\pi$
$821$	29.8734	+	17.2474i	1.04259	+	0.601939i	0.122023	+	0.992527i	$0.461062\pi$
$822$	7.48404	−	14.3704i	0.261036	−	0.501227i
$823$	13.3275	−	49.7388i	0.464566	−	1.73378i	−0.193758	−	0.981049i	$-0.562068\pi$
$823$	13.3275	−	49.7388i	0.464566	−	1.73378i	0.658324	−	0.752735i	$-0.271266\pi$
$824$	−29.3487	+	12.1382i	−1.02241	+	0.422855i
$825$	21.7831	+	7.64037i	0.758392	+	0.266004i
$826$	13.0688	−	21.9977i	0.454722	−	0.765399i
$827$	−16.0304	−	16.0304i	−0.557431	−	0.557431i	0.371144	−	0.928575i	$-0.378966\pi$
$827$	−16.0304	−	16.0304i	−0.557431	−	0.557431i	−0.928575	+	0.371144i	$0.878966\pi$
$828$	−23.2203	−	4.10290i	−0.806961	−	0.142586i
$829$	22.0763	+	38.2372i	0.766741	+	1.32803i	0.939321	+	0.343039i	$0.111456\pi$
$829$	22.0763	+	38.2372i	0.766741	+	1.32803i	−0.172580	+	0.984995i	$0.555210\pi$
$830$	8.12711	+	2.12821i	0.282096	+	0.0738713i
$831$	−10.7443	−	6.20320i	−0.372714	−	0.215187i
$832$	−25.8717	−	14.9739i	−0.896938	−	0.519128i
$833$	12.2362	+	15.3327i	0.423958	+	0.531245i
$834$	0.883421	−	3.98150i	0.0305904	−	0.137868i
$835$	−14.1285	−	4.36380i	−0.488937	−	0.151016i
$836$	6.03787	+	69.2977i	0.208824	+	2.39671i
$837$	−9.47007	−	2.53750i	−0.327334	−	0.0877088i
$838$	0.693035	+	15.9383i	0.0239405	+	0.550580i
$839$	−17.4633			−0.602902			−0.301451	−	0.953482i	$-0.597471\pi$
$839$	−17.4633			−0.602902			−0.301451	+	0.953482i	$0.597471\pi$
$840$	10.9412	+	10.1668i	0.377506	+	0.350788i
$841$	44.8391			1.54617
$842$	−0.932257	−	21.4399i	−0.0321277	−	0.738868i
$843$	−0.964292	−	0.258381i	−0.0332120	−	0.00889913i
$844$	8.20283	−	0.714708i	0.282353	−	0.0246013i
$845$	−1.90198	+	1.00432i	−0.0654300	+	0.0345498i
$846$	1.27455	−	5.74426i	0.0438198	−	0.197492i
$847$	−2.32993	+	41.6181i	−0.0800575	+	1.43002i
$848$	−1.03095	+	11.6878i	−0.0354029	+	0.401361i
$849$	10.0164	+	5.78298i	0.343762	+	0.198471i
$850$	13.5552	+	14.4542i	0.464939	+	0.495775i
$851$	4.65315	+	8.05949i	0.159508	+	0.276276i
$852$	−3.68595	+	20.8606i	−0.126278	+	0.714671i
$853$	1.74502	+	1.74502i	0.0597485	+	0.0597485i	0.736350	−	0.676601i	$-0.236548\pi$
$853$	1.74502	+	1.74502i	0.0597485	+	0.0597485i	−0.676601	+	0.736350i	$0.736548\pi$
$854$	27.0253	+	0.337031i	0.924788	+	0.0115330i
$855$	17.6354	−	28.0435i	0.603118	−	0.959068i
$856$	−2.65491	+	1.09804i	−0.0907429	+	0.0375301i
$857$	−14.2361	+	53.1300i	−0.486298	+	1.81489i	0.0878482	+	0.996134i	$0.472001\pi$
$857$	−14.2361	+	53.1300i	−0.486298	+	1.81489i	−0.574146	+	0.818753i	$0.694666\pi$
$858$	11.2690	−	21.6382i	0.384718	−	0.738715i
$859$	−0.381208	−	0.220091i	−0.0130066	−	0.00750939i	0.493483	−	0.869756i	$-0.335724\pi$
$859$	−0.381208	−	0.220091i	−0.0130066	−	0.00750939i	−0.506489	+	0.862246i	$0.669057\pi$
$860$	−20.9393	−	4.52132i	−0.714025	−	0.154176i
$861$	4.71672	−	0.985006i	0.160745	−	0.0335689i
$862$	20.1450	−	12.8287i	0.686140	−	0.436948i
$863$	1.62686	−	0.435916i	0.0553789	−	0.0148387i	−0.231023	−	0.972948i	$-0.574207\pi$
$863$	1.62686	−	0.435916i	0.0553789	−	0.0148387i	0.286402	+	0.958109i	$0.407541\pi$
$864$	−22.1453	−	14.1359i	−0.753398	−	0.480912i
$865$	−30.1095	−	32.4744i	−1.02375	−	1.10416i
$866$	−30.4805	+	33.2517i	−1.03577	+	1.12994i
$867$	−5.77287	−	5.77287i	−0.196057	−	0.196057i
$868$	−5.28278	+	9.84214i	−0.179309	+	0.334064i
$869$	52.6282			1.78529
$870$	6.41053	+	23.3917i	0.217337	+	0.793053i
$871$	−30.1378	+	17.4001i	−1.02118	+	0.589579i
$872$	12.9491	+	16.8943i	0.438512	+	0.572113i
$873$	−0.614692	−	2.29406i	−0.0208042	−	0.0776422i
$874$	−49.6761	−	11.0222i	−1.68032	−	0.372832i
$875$	−27.7425	+	10.2642i	−0.937868	+	0.346992i
$876$	−4.10835	−	1.91754i	−0.138808	−	0.0647877i
$877$	−12.6069	−	47.0497i	−0.425705	−	1.58875i	−0.762378	−	0.647132i	$-0.775968\pi$
$877$	−12.6069	−	47.0497i	−0.425705	−	1.58875i	0.336672	−	0.941622i	$-0.390699\pi$
$878$	9.18072	−	17.6283i	0.309834	−	0.594927i
$879$	8.13372	+	14.0880i	0.274344	+	0.475177i
$880$	−17.4842	+	42.8332i	−0.589393	+	1.44391i
$881$	−8.75581			−0.294991			−0.147495	−	0.989063i	$-0.547121\pi$
$881$	−8.75581			−0.294991			−0.147495	+	0.989063i	$0.547121\pi$
$882$	19.5906	−	9.58939i	0.659651	−	0.322892i
$883$	33.1957	−	33.1957i	1.11712	−	1.11712i	0.124963	−	0.992161i	$-0.460119\pi$
$883$	33.1957	−	33.1957i	1.11712	−	1.11712i	0.992161	−	0.124963i	$-0.0398812\pi$
$884$	17.1594	−	12.0060i	0.577133	−	0.403807i
$885$	9.27962	+	10.0085i	0.311931	+	0.336431i
$886$	−7.06340	−	22.4162i	−0.237300	−	0.753086i
$887$	4.46800	+	16.6748i	0.150021	+	0.559885i	0.999480	+	0.0322314i	$0.0102614\pi$
$887$	4.46800	+	16.6748i	0.150021	+	0.559885i	−0.849460	+	0.527653i	$0.823072\pi$
$888$	0.570766	+	4.35339i	0.0191537	+	0.146090i
$889$	−3.00078	+	9.12462i	−0.100643	+	0.306030i
$890$	0.269278	+	47.3696i	0.00902623	+	1.58783i
$891$	−6.37387	+	11.0399i	−0.213533	+	0.369850i
$892$	−3.54199	−	2.97423i	−0.118594	−	0.0995846i
$893$	3.28628	−	12.2646i	0.109971	−	0.410419i
$894$	16.1558	−	17.6246i	0.540330	−	0.589456i
$895$	1.92253	+	1.20900i	0.0642632	+	0.0404124i
$896$	−21.4506	+	20.8775i	−0.716616	+	0.697468i
$897$	12.6194	+	12.6194i	0.421350	+	0.421350i
$898$	1.23676	+	28.4428i	0.0412712	+	0.949148i
$899$	−15.7094	+	9.06982i	−0.523937	+	0.302495i
$900$	18.9548	−	11.2328i	0.631825	−	0.374426i
$901$	−7.11891	−	4.11011i	−0.237165	−	0.136927i
$902$	8.01728	+	12.5896i	0.266946	+	0.419187i
$903$	6.19469	−	9.46494i	0.206146	−	0.314973i
$904$	10.5604	−	13.7473i	0.351233	−	0.457229i
$905$	25.0117	−	13.2072i	0.831418	−	0.439023i
$906$	9.39755	−	2.96119i	0.312213	−	0.0983791i
$907$	3.88850	−	14.5121i	0.129115	−	0.481865i	−0.870837	−	0.491571i	$-0.836423\pi$
$907$	3.88850	−	14.5121i	0.129115	−	0.481865i	0.999953	+	0.00970574i	$0.00308948\pi$
$908$	−2.44110	+	13.8154i	−0.0810107	+	0.458479i
$909$	38.2206			1.26770
$910$	6.56459	+	30.5653i	0.217614	+	1.01323i
$911$		−	14.6172i		−	0.484291i	−0.970240	−	0.242145i	$-0.922149\pi$
$911$		−	14.6172i		−	0.484291i	0.970240	−	0.242145i	$-0.0778511\pi$
$912$	−19.6554	−	13.7838i	−0.650856	−	0.456426i
$913$	−13.2734	−	3.55661i	−0.439287	−	0.117706i
$914$	44.7012	−	14.0855i	1.47858	−	0.465906i
$915$	−4.25454	+	13.7748i	−0.140651	+	0.455380i
$916$	−13.7668	+	29.4956i	−0.454869	+	0.974562i
$917$	−1.10160	+	19.6773i	−0.0363782	+	0.649800i
$918$	15.5255	−	9.88693i	0.512417	−	0.326317i
$919$	−30.2686	+	52.4268i	−0.998470	+	1.72940i	−0.451340	+	0.892352i	$0.649054\pi$
$919$	−30.2686	+	52.4268i	−0.998470	+	1.72940i	−0.547130	+	0.837048i	$0.684280\pi$
$920$	−26.0407	−	21.6154i	−0.858537	−	0.712638i
$921$	2.19258	+	3.79766i	0.0722480	+	0.125137i
$922$	−0.706792	−	16.2547i	−0.0232770	−	0.535320i
$923$	−31.3534	+	31.3534i	−1.03201	+	1.03201i
$924$	−17.8015	−	16.7312i	−0.585627	−	0.550416i
$925$	−8.20569	−	2.87812i	−0.269801	−	0.0946320i
$926$	26.7209	+	24.4940i	0.878104	+	0.804922i
$927$	−23.8974	−	6.40330i	−0.784895	−	0.210312i
$928$	−47.4663	+	10.4786i	−1.55816	+	0.343978i
$929$	25.1078	+	14.4960i	0.823761	+	0.475599i	0.851712	−	0.524011i	$-0.175565\pi$
$929$	25.1078	+	14.4960i	0.823761	+	0.475599i	−0.0279506	+	0.999609i	$0.508898\pi$
$930$	−4.23711	−	4.18921i	−0.138940	−	0.137370i
$931$	43.1344	−	18.8373i	1.41367	−	0.617368i
$932$	−3.08967	−	8.49821i	−0.101205	−	0.278368i
$933$	−9.33998	+	2.50264i	−0.305777	+	0.0819328i
$934$	−32.3109	+	10.1812i	−1.05724	+	0.333140i
$935$	−22.0373	−	23.7682i	−0.720698	−	0.777305i
$936$	−8.89962	−	21.5181i	−0.290893	−	0.703342i
$937$	−12.0953	−	12.0953i	−0.395137	−	0.395137i	0.481377	−	0.876514i	$-0.340137\pi$
$937$	−12.0953	−	12.0953i	−0.395137	−	0.395137i	−0.876514	+	0.481377i	$0.840137\pi$
$938$	8.59878	+	33.7700i	0.280760	+	1.10263i
$939$		−	26.6855i		−	0.870849i
$940$	5.67091	−	6.25754i	0.184965	−	0.204098i
$941$	15.6013	−	9.00743i	0.508589	−	0.293634i	−0.223665	−	0.974666i	$-0.571802\pi$
$941$	15.6013	−	9.00743i	0.508589	−	0.293634i	0.732253	+	0.681032i	$0.238469\pi$
$942$	3.43197	+	1.78735i	0.111820	+	0.0582350i
$943$	−10.5462	+	2.82586i	−0.343433	+	0.0920226i
$944$	−20.9666	+	17.5676i	−0.682406	+	0.571778i
$945$	4.59714	+	27.0890i	0.149545	+	0.881204i
$946$	34.2076	+	7.59005i	1.11219	+	0.246774i
$947$	18.1537	−	4.86427i	0.589915	−	0.158067i	0.0485009	−	0.998823i	$-0.484556\pi$
$947$	18.1537	−	4.86427i	0.589915	−	0.158067i	0.541415	+	0.840756i	$0.317889\pi$
$948$	−11.6800	+	13.9096i	−0.379350	+	0.451764i
$949$	−4.74496	−	8.21851i	−0.154028	−	0.266784i
$950$	41.9176	−	22.4399i	1.35999	−	0.728046i
$951$		−	2.64852i		−	0.0858842i
$952$	−6.91919	−	19.7968i	−0.224252	−	0.641617i
$953$	−3.96648	+	3.96648i	−0.128487	+	0.128487i	−0.768426	−	0.639939i	$-0.778960\pi$
$953$	−3.96648	+	3.96648i	−0.128487	+	0.128487i	0.639939	+	0.768426i	$0.278960\pi$
$954$	−6.17610	+	6.73762i	−0.199959	+	0.218139i
$955$	−0.857656	+	22.6963i	−0.0277531	+	0.734434i
$956$	−39.0856	+	3.40550i	−1.26412	+	0.110142i
$957$	−10.2680	−	38.3206i	−0.331916	−	1.23873i
$958$	4.08144	+	6.40910i	0.131865	+	0.207069i
$959$	−6.94226	−	33.2431i	−0.224177	−	1.07348i
$960$	−7.44047	−	14.1273i	−0.240140	−	0.455955i
$961$	−13.2719	+	22.9875i	−0.428125	+	0.741534i
$962$	−4.24503	+	8.15108i	−0.136865	+	0.262801i
$963$	−2.16179	−	0.579249i	−0.0696626	−	0.0186660i
$964$	−13.7956	−	19.7172i	−0.444328	−	0.635047i
$965$	−2.78254	−	12.2120i	−0.0895733	−	0.393117i
$966$	15.5869	−	8.74175i	0.501499	−	0.281261i
$967$	25.6955	−	25.6955i	0.826313	−	0.826313i	−0.160692	−	0.987005i	$-0.551373\pi$
$967$	25.6955	−	25.6955i	0.826313	−	0.826313i	0.987005	+	0.160692i	$0.0513725\pi$
$968$	17.0749	−	41.1602i	0.548808	−	1.32294i
$969$	14.5657	−	8.40953i	0.467919	−	0.270153i
$970$	0.863498	−	3.29748i	0.0277253	−	0.105876i
$971$	−11.7843	+	20.4110i	−0.378177	+	0.655021i	−0.990797	−	0.135356i	$-0.956782\pi$
$971$	−11.7843	+	20.4110i	−0.378177	+	0.655021i	0.612620	+	0.790377i	$0.290115\pi$
$972$	−11.0247	−	30.3237i	−0.353616	−	0.972632i
$973$	−3.85360	−	7.63024i	−0.123541	−	0.244614i
$974$	32.7260	+	7.26130i	1.04861	+	0.232667i
$975$	−16.6282	−	1.25850i	−0.532529	−	0.0403044i
$976$	−27.1440	−	9.90154i	−0.868858	−	0.316940i
$977$	−15.0596	+	56.2031i	−0.481799	+	1.79810i	0.112264	+	0.993678i	$0.464190\pi$
$977$	−15.0596	+	56.2031i	−0.481799	+	1.79810i	−0.594062	+	0.804419i	$0.702477\pi$
$978$	−0.376972	−	8.66954i	−0.0120542	−	0.277221i
$979$		−	77.4832i		−	2.47637i
$980$	31.2434	+	1.96188i	0.998034	+	0.0626699i
$981$			16.5816i			0.529410i
$982$	−26.8250	+	1.16642i	−0.856022	+	0.0372218i
$983$	−13.4557	+	50.2173i	−0.429169	+	1.60168i	0.325476	+	0.945550i	$0.394475\pi$
$983$	−13.4557	+	50.2173i	−0.429169	+	1.60168i	−0.754646	+	0.656132i	$0.772191\pi$
$984$	−5.10673	−	0.675093i	−0.162797	−	0.0215212i
$985$	5.06309	+	1.56381i	0.161323	+	0.0498271i
$986$	7.37685	−	33.2468i	0.234927	−	1.05879i
$987$	2.01032	+	3.98050i	0.0639893	+	0.126701i
$988$	−17.1695	−	47.2253i	−0.546236	−	1.50244i
$989$	−12.8159	+	22.1979i	−0.407523	+	0.705851i
$990$	−31.1081	+	18.1968i	−0.988679	+	0.578332i
$991$	23.7065	−	13.6870i	0.753062	−	0.434780i	−0.0737374	−	0.997278i	$-0.523493\pi$
$991$	23.7065	−	13.6870i	0.753062	−	0.434780i	0.826799	+	0.562497i	$0.190159\pi$
$992$	8.81142	−	8.05974i	0.279763	−	0.255897i
$993$	2.55147	−	2.55147i	0.0809685	−	0.0809685i
$994$	21.7192	+	38.7261i	0.688892	+	1.22832i
$995$	2.64107	−	4.19979i	0.0837276	−	0.133142i
$996$	3.88585	−	2.71883i	0.123128	−	0.0861496i
$997$	−60.2570	−	16.1458i	−1.90836	−	0.511343i	−0.994421	−	0.105486i	$-0.966360\pi$
$997$	−60.2570	−	16.1458i	−1.90836	−	0.511343i	−0.913937	−	0.405856i	$-0.866973\pi$
$998$	−6.46864	−	3.36883i	−0.204761	−	0.106638i
$999$	−4.03862	+	6.99510i	−0.127776	+	0.221315i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.br.a.107.2	yes	176
5.3	odd	4	inner	280.2.br.a.163.23	yes	176
7.4	even	3	inner	280.2.br.a.67.29	yes	176
8.3	odd	2	inner	280.2.br.a.107.7	yes	176
35.18	odd	12	inner	280.2.br.a.123.7	yes	176
40.3	even	4	inner	280.2.br.a.163.29	yes	176
56.11	odd	6	inner	280.2.br.a.67.23	✓	176
280.123	even	12	inner	280.2.br.a.123.2	yes	176

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.br.a.67.23	✓	176	56.11	odd	6	inner
280.2.br.a.67.29	yes	176	7.4	even	3	inner
280.2.br.a.107.2	yes	176	1.1	even	1	trivial
280.2.br.a.107.7	yes	176	8.3	odd	2	inner
280.2.br.a.123.2	yes	176	280.123	even	12	inner
280.2.br.a.123.7	yes	176	35.18	odd	12	inner
280.2.br.a.163.23	yes	176	5.3	odd	4	inner
280.2.br.a.163.29	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)

\(f(q)\)	\(=\)	\(q+(-1.41288 + 0.0614353i) q^{2} +(-0.862160 - 0.231015i) q^{3} +(1.99245 - 0.173601i) q^{4} +(1.04411 + 1.97733i) q^{5} +(1.23232 + 0.273429i) q^{6} +(2.36165 - 1.19273i) q^{7} +(-2.80443 + 0.367684i) q^{8} +(-1.90812 - 1.10166i) q^{9} +O(q^{10})\)	\(q+(-1.41288 + 0.0614353i) q^{2} +(-0.862160 - 0.231015i) q^{3} +(1.99245 - 0.173601i) q^{4} +(1.04411 + 1.97733i) q^{5} +(1.23232 + 0.273429i) q^{6} +(2.36165 - 1.19273i) q^{7} +(-2.80443 + 0.367684i) q^{8} +(-1.90812 - 1.10166i) q^{9} +(-1.59668 - 2.72958i) q^{10} +(2.58625 + 4.47952i) q^{11} +(-1.75792 - 0.310614i) q^{12} +(-2.64215 - 2.64215i) q^{13} +(-3.26345 + 1.83028i) q^{14} +(-0.443399 - 1.94598i) q^{15} +(3.93973 - 0.691784i) q^{16} +(-0.725310 + 2.70689i) q^{17} +(2.76363 + 1.43928i) q^{18} +(5.82319 + 3.36202i) q^{19} +(2.42361 + 3.75847i) q^{20} +(-2.31166 + 0.482750i) q^{21} +(-3.92926 - 6.17013i) q^{22} +(5.16870 - 1.38495i) q^{23} +(2.50281 + 0.330862i) q^{24} +(-2.81966 + 4.12911i) q^{25} +(3.89536 + 3.57071i) q^{26} +(3.28404 + 3.28404i) q^{27} +(4.49841 - 2.78645i) q^{28} +8.59297 q^{29} +(0.746020 + 2.72219i) q^{30} +(-1.82817 + 1.05549i) q^{31} +(-5.52385 + 1.21944i) q^{32} +(-1.19493 - 4.45953i) q^{33} +(0.858476 - 3.86907i) q^{34} +(4.82425 + 3.42441i) q^{35} +(-3.99309 - 1.86374i) q^{36} +(0.450128 + 1.67990i) q^{37} +(-8.43401 - 4.39238i) q^{38} +(1.66758 + 2.88833i) q^{39} +(-3.65517 - 5.16137i) q^{40} -2.04040 q^{41} +(3.23644 - 0.824085i) q^{42} +(-3.38710 + 3.38710i) q^{43} +(5.93063 + 8.47625i) q^{44} +(0.186041 - 4.92324i) q^{45} +(-7.21766 + 2.27431i) q^{46} +(-0.488737 - 1.82399i) q^{47} +(-3.55649 - 0.313708i) q^{48} +(4.15477 - 5.63364i) q^{49} +(3.73017 - 6.00715i) q^{50} +(1.25067 - 2.16622i) q^{51} +(-5.72303 - 4.80567i) q^{52} +(-0.759193 + 2.83335i) q^{53} +(-4.84171 - 4.43820i) q^{54} +(-6.15715 + 9.79099i) q^{55} +(-6.18452 + 4.21327i) q^{56} +(-4.24385 - 4.24385i) q^{57} +(-12.1408 + 0.527911i) q^{58} +(-5.92224 + 3.41921i) q^{59} +(-1.22127 - 3.80030i) q^{60} +(-6.25564 - 3.61169i) q^{61} +(2.51814 - 1.60360i) q^{62} +(-5.82030 - 0.325842i) q^{63} +(7.72962 - 2.06229i) q^{64} +(2.46570 - 7.98309i) q^{65} +(1.96226 + 6.22736i) q^{66} +(2.41049 - 8.99606i) q^{67} +(-0.975225 + 5.51927i) q^{68} -4.77619 q^{69} +(-7.02646 - 4.54190i) q^{70} -11.8666i q^{71} +(5.75626 + 2.38793i) q^{72} +(2.45321 + 0.657335i) q^{73} +(-0.739181 - 2.34584i) q^{74} +(3.38488 - 2.90857i) q^{75} +(12.1861 + 5.68775i) q^{76} +(11.4507 + 7.49435i) q^{77} +(-2.53353 - 3.97841i) q^{78} +(5.08731 - 8.81147i) q^{79} +(5.48140 + 7.06783i) q^{80} +(1.23226 + 2.13434i) q^{81} +(2.88284 - 0.125353i) q^{82} +(-1.87855 + 1.87855i) q^{83} +(-4.52206 + 1.36316i) q^{84} +(-6.10972 + 1.39212i) q^{85} +(4.57747 - 4.99365i) q^{86} +(-7.40851 - 1.98510i) q^{87} +(-8.90000 - 11.6116i) q^{88} +(-12.9729 - 7.48991i) q^{89} +(0.0396069 + 6.96737i) q^{90} +(-9.39120 - 3.08845i) q^{91} +(10.0580 - 3.65674i) q^{92} +(1.82001 - 0.487670i) q^{93} +(0.802583 + 2.54705i) q^{94} +(-0.567759 + 15.0247i) q^{95} +(5.04416 + 0.224737i) q^{96} +(0.762202 + 0.762202i) q^{97} +(-5.52409 + 8.21489i) q^{98} -11.3966i 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

L-functions

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