LMFDB - Embedded newform 280.2.br.a.67.17

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			67.17
Character	$\chi$	$=$	280.67
Dual form			280.2.br.a.163.17

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.431412 - 1.34680i) q^{2} +(-0.409884 - 1.52971i) q^{3} +(-1.62777 + 1.16206i) q^{4} +(-2.22655 - 0.206144i) q^{5} +(-1.88339 + 1.21197i) q^{6} +(-2.08935 - 1.62314i) q^{7} +(2.26730 + 1.69096i) q^{8} +(0.426076 - 0.245995i) q^{9} +O(q^{10})$	\(q+(-0.431412 - 1.34680i) q^{2} +(-0.409884 - 1.52971i) q^{3} +(-1.62777 + 1.16206i) q^{4} +(-2.22655 - 0.206144i) q^{5} +(-1.88339 + 1.21197i) q^{6} +(-2.08935 - 1.62314i) q^{7} +(2.26730 + 1.69096i) q^{8} +(0.426076 - 0.245995i) q^{9} +(0.682924 + 3.08766i) q^{10} +(-1.76127 + 3.05061i) q^{11} +(2.44480 + 2.01370i) q^{12} +(1.68796 + 1.68796i) q^{13} +(-1.28469 + 3.51420i) q^{14} +(0.597286 + 3.49046i) q^{15} +(1.29925 - 3.78311i) q^{16} +(-1.25343 + 0.335857i) q^{17} +(-0.515122 - 0.467716i) q^{18} +(-6.62328 + 3.82395i) q^{19} +(3.86385 - 2.25182i) q^{20} +(-1.62654 + 3.86140i) q^{21} +(4.86841 + 1.05602i) q^{22} +(0.940371 - 3.50951i) q^{23} +(1.65734 - 4.16141i) q^{24} +(4.91501 + 0.917976i) q^{25} +(1.54515 - 3.00156i) q^{26} +(-3.91041 - 3.91041i) q^{27} +(5.28717 + 0.214153i) q^{28} -5.07439 q^{29} +(4.44329 - 2.31025i) q^{30} +(-2.42122 - 1.39789i) q^{31} +(-5.65563 - 0.117754i) q^{32} +(5.38846 + 1.44383i) q^{33} +(0.993080 + 1.54324i) q^{34} +(4.31744 + 4.04471i) q^{35} +(-0.407692 + 0.895547i) q^{36} +(1.27137 + 0.340662i) q^{37} +(8.00748 + 7.27057i) q^{38} +(1.89022 - 3.27395i) q^{39} +(-4.69967 - 4.23239i) q^{40} -4.50117 q^{41} +(5.90227 + 0.524781i) q^{42} +(7.05995 - 7.05995i) q^{43} +(-0.678043 - 7.01238i) q^{44} +(-0.999388 + 0.459887i) q^{45} +(-5.13232 + 0.247551i) q^{46} +(-7.98948 - 2.14078i) q^{47} +(-6.31960 - 0.436835i) q^{48} +(1.73080 + 6.78265i) q^{49} +(-0.884061 - 7.01559i) q^{50} +(1.02752 + 1.77973i) q^{51} +(-4.70911 - 0.786100i) q^{52} +(-11.7683 + 3.15330i) q^{53} +(-3.57956 + 6.95356i) q^{54} +(4.55041 - 6.42925i) q^{55} +(-1.99253 - 7.21317i) q^{56} +(8.56430 + 8.56430i) q^{57} +(2.18916 + 6.83422i) q^{58} +(-10.7678 - 6.21679i) q^{59} +(-5.02835 - 4.98757i) q^{60} +(11.1830 - 6.45654i) q^{61} +(-0.838145 + 3.86398i) q^{62} +(-1.28951 - 0.177612i) q^{63} +(2.28132 + 7.66783i) q^{64} +(-3.41036 - 4.10628i) q^{65} +(-0.380086 - 7.88009i) q^{66} +(-3.23516 + 0.866858i) q^{67} +(1.65001 - 2.00326i) q^{68} -5.75397 q^{69} +(3.58484 - 7.55969i) q^{70} -2.60984i q^{71} +(1.38201 + 0.162732i) q^{72} +(-0.420053 - 1.56766i) q^{73} +(-0.0896786 - 1.85925i) q^{74} +(-0.610349 - 7.89479i) q^{75} +(6.33751 - 13.9211i) q^{76} +(8.63150 - 3.51501i) q^{77} +(-5.22484 - 1.13333i) q^{78} +(3.66367 + 6.34566i) q^{79} +(-3.67270 + 8.15544i) q^{80} +(-3.64099 + 6.30638i) q^{81} +(1.94186 + 6.06220i) q^{82} +(4.94034 - 4.94034i) q^{83} +(-1.83953 - 8.17560i) q^{84} +(2.86006 - 0.489413i) q^{85} +(-12.5541 - 6.46263i) q^{86} +(2.07991 + 7.76234i) q^{87} +(-9.15179 + 3.93842i) q^{88} +(4.71065 - 2.71969i) q^{89} +(1.05053 + 1.14758i) q^{90} +(-0.786943 - 6.26655i) q^{91} +(2.54755 + 6.80543i) q^{92} +(-1.14595 + 4.27674i) q^{93} +(0.563554 + 11.6838i) q^{94} +(15.5353 - 7.14886i) q^{95} +(2.13802 + 8.69972i) q^{96} +(-5.73033 - 5.73033i) q^{97} +(8.38821 - 5.25717i) q^{98} +1.73306i 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 $\left(\mathbb{Z}/280\mathbb{Z}\right)^\times$.

$n$	$57$	$71$	$141$	$241$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$-1$	$-1$	$e\left(\frac{2}{3}\right)$

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 $

$2$	−0.431412	−	1.34680i	−0.305055	−	0.952335i
$2$	−0.431412	−	1.34680i	−0.305055	−	0.952335i
$3$	−0.409884	−	1.52971i	−0.236647	−	0.883177i	−0.977400	−	0.211400i	$-0.932198\pi$
$3$	−0.409884	−	1.52971i	−0.236647	−	0.883177i	0.740753	−	0.671777i	$-0.234469\pi$
$4$	−1.62777	+	1.16206i	−0.813883	+	0.581028i
$5$	−2.22655	−	0.206144i	−0.995741	−	0.0921902i
$5$	−2.22655	−	0.206144i	−0.995741	−	0.0921902i
$6$	−1.88339	+	1.21197i	−0.768890	+	0.494784i
$7$	−2.08935	−	1.62314i	−0.789702	−	0.613491i
$7$	−2.08935	−	1.62314i	−0.789702	−	0.613491i
$8$	2.26730	+	1.69096i	0.801612	+	0.597844i
$9$	0.426076	−	0.245995i	0.142025	−	0.0819984i
$10$	0.682924	+	3.08766i	0.215960	+	0.976402i
$11$	−1.76127	+	3.05061i	−0.531043	+	0.919793i	0.468301	+	0.883569i	$0.344866\pi$
$11$	−1.76127	+	3.05061i	−0.531043	+	0.919793i	−0.999344	+	0.0362243i	$0.988467\pi$
$12$	2.44480	+	2.01370i	0.705753	+	0.581305i
$13$	1.68796	+	1.68796i	0.468156	+	0.468156i	0.901317	−	0.433161i	$-0.142602\pi$
$13$	1.68796	+	1.68796i	0.468156	+	0.468156i	−0.433161	+	0.901317i	$0.642602\pi$
$14$	−1.28469	+	3.51420i	−0.343347	+	0.939209i
$15$	0.597286	+	3.49046i	0.154219	+	0.901232i
$16$	1.29925	−	3.78311i	0.324812	−	0.945778i
$17$	−1.25343	+	0.335857i	−0.304002	+	0.0814572i	−0.407596	−	0.913163i	$-0.633633\pi$
$17$	−1.25343	+	0.335857i	−0.304002	+	0.0814572i	0.103593	+	0.994620i	$0.466966\pi$
$18$	−0.515122	−	0.467716i	−0.121415	−	0.110242i
$19$	−6.62328	+	3.82395i	−1.51948	+	0.877275i	−0.519748	+	0.854320i	$0.673974\pi$
$19$	−6.62328	+	3.82395i	−1.51948	+	0.877275i	−0.999736	+	0.0229553i	$0.992692\pi$
$20$	3.86385	−	2.25182i	0.863983	−	0.503522i
$21$	−1.62654	+	3.86140i	−0.354941	+	0.842627i
$22$	4.86841	+	1.05602i	1.03795	+	0.225144i
$23$	0.940371	−	3.50951i	0.196081	−	0.731784i	−0.795903	−	0.605424i	$-0.793004\pi$
$23$	0.940371	−	3.50951i	0.196081	−	0.731784i	0.991984	−	0.126360i	$-0.0403296\pi$
$24$	1.65734	−	4.16141i	0.338304	−	0.849443i
$25$	4.91501	+	0.917976i	0.983002	+	0.183595i
$26$	1.54515	−	3.00156i	0.303028	−	0.588654i
$27$	−3.91041	−	3.91041i	−0.752559	−	0.752559i
$28$	5.28717	+	0.214153i	0.999181	+	0.0404712i
$29$	−5.07439			−0.942291			−0.471146	−	0.882055i	$-0.656159\pi$
$29$	−5.07439			−0.942291			−0.471146	+	0.882055i	$0.656159\pi$
$30$	4.44329	−	2.31025i	0.811230	−	0.421793i
$31$	−2.42122	−	1.39789i	−0.434864	−	0.251069i	0.266552	−	0.963820i	$-0.414115\pi$
$31$	−2.42122	−	1.39789i	−0.434864	−	0.251069i	−0.701417	+	0.712751i	$0.747449\pi$
$32$	−5.65563	−	0.117754i	−0.999783	−	0.0208162i
$33$	5.38846	+	1.44383i	0.938010	+	0.251339i
$34$	0.993080	+	1.54324i	0.170312	+	0.264663i
$35$	4.31744	+	4.04471i	0.729781	+	0.683681i
$36$	−0.407692	+	0.895547i	−0.0679487	+	0.149258i
$37$	1.27137	+	0.340662i	0.209012	+	0.0560045i	0.361806	−	0.932254i	$-0.382160\pi$
$37$	1.27137	+	0.340662i	0.209012	+	0.0560045i	−0.152794	+	0.988258i	$0.548827\pi$
$38$	8.00748	+	7.27057i	1.29899	+	1.17944i
$39$	1.89022	−	3.27395i	0.302677	−	0.524252i
$40$	−4.69967	−	4.23239i	−0.743083	−	0.669199i
$41$	−4.50117			−0.702965			−0.351483	−	0.936194i	$-0.614322\pi$
$41$	−4.50117			−0.702965			−0.351483	+	0.936194i	$0.614322\pi$
$42$	5.90227	+	0.524781i	0.910739	+	0.0809754i
$43$	7.05995	−	7.05995i	1.07663	−	1.07663i	0.0798234	−	0.996809i	$-0.474564\pi$
$43$	7.05995	−	7.05995i	1.07663	−	1.07663i	0.996809	−	0.0798234i	$-0.0254357\pi$
$44$	−0.678043	−	7.01238i	−0.102219	−	1.05716i
$45$	−0.999388	+	0.459887i	−0.148980	+	0.0685558i
$46$	−5.13232	+	0.247551i	−0.756719	+	0.0364993i
$47$	−7.98948	−	2.14078i	−1.16539	−	0.312264i	−0.376271	−	0.926510i	$-0.622794\pi$
$47$	−7.98948	−	2.14078i	−1.16539	−	0.312264i	−0.789115	+	0.614246i	$0.789460\pi$
$48$	−6.31960	−	0.436835i	−0.912156	−	0.0630517i
$49$	1.73080	+	6.78265i	0.247258	+	0.968950i
$50$	−0.884061	−	7.01559i	−0.125025	−	0.992154i
$51$	1.02752	+	1.77973i	0.143882	+	0.249211i
$52$	−4.70911	−	0.786100i	−0.653036	−	0.109013i
$53$	−11.7683	+	3.15330i	−1.61650	+	0.433139i	−0.949970	−	0.312340i	$-0.898887\pi$
$53$	−11.7683	+	3.15330i	−1.61650	+	0.433139i	−0.666528	+	0.745480i	$0.732220\pi$
$54$	−3.57956	+	6.95356i	−0.487117	+	0.946260i
$55$	4.55041	−	6.42925i	0.613577	−	0.866919i
$56$	−1.99253	−	7.21317i	−0.266263	−	0.963901i
$57$	8.56430	+	8.56430i	1.13437	+	1.13437i
$58$	2.18916	+	6.83422i	0.287450	+	0.897377i
$59$	−10.7678	−	6.21679i	−1.40185	−	0.809357i	−0.407265	−	0.913310i	$-0.633518\pi$
$59$	−10.7678	−	6.21679i	−1.40185	−	0.809357i	−0.994582	+	0.103953i	$0.966851\pi$
$60$	−5.02835	−	4.98757i	−0.649157	−	0.643893i
$61$	11.1830	−	6.45654i	1.43184	−	0.826675i	0.434581	−	0.900633i	$-0.356896\pi$
$61$	11.1830	−	6.45654i	1.43184	−	0.826675i	0.997261	+	0.0739580i	$0.0235631\pi$
$62$	−0.838145	+	3.86398i	−0.106444	+	0.490726i
$63$	−1.28951	−	0.177612i	−0.162463	−	0.0223770i
$64$	2.28132	+	7.66783i	0.285164	+	0.958479i
$65$	−3.41036	−	4.10628i	−0.423003	−	0.509321i
$66$	−0.380086	−	7.88009i	−0.0467853	−	0.969972i
$67$	−3.23516	+	0.866858i	−0.395238	+	0.105904i	−0.450963	−	0.892543i	$-0.648919\pi$
$67$	−3.23516	+	0.866858i	−0.395238	+	0.105904i	0.0557257	+	0.998446i	$0.482253\pi$
$68$	1.65001	−	2.00326i	0.200094	−	0.242931i
$69$	−5.75397			−0.692697
$70$	3.58484	−	7.55969i	0.428470	−	0.903556i
$71$		−	2.60984i		−	0.309731i	−0.987936	−	0.154865i	$-0.950506\pi$
$71$		−	2.60984i		−	0.309731i	0.987936	−	0.154865i	$-0.0494944\pi$
$72$	1.38201	+	0.162732i	0.162872	+	0.0191781i
$73$	−0.420053	−	1.56766i	−0.0491635	−	0.183481i	0.936978	−	0.349389i	$-0.113611\pi$
$73$	−0.420053	−	1.56766i	−0.0491635	−	0.183481i	−0.986141	+	0.165909i	$0.946944\pi$
$74$	−0.0896786	−	1.85925i	−0.0104249	−	0.216134i
$75$	−0.610349	−	7.89479i	−0.0704770	−	0.911612i
$76$	6.33751	−	13.9211i	0.726962	−	1.59686i
$77$	8.63150	−	3.51501i	0.983651	−	0.400572i
$78$	−5.22484	−	1.13333i	−0.591596	−	0.128324i
$79$	3.66367	+	6.34566i	0.412195	+	0.713942i	0.995129	−	0.0985767i	$-0.0314290\pi$
$79$	3.66367	+	6.34566i	0.412195	+	0.713942i	−0.582935	+	0.812519i	$0.698096\pi$
$80$	−3.67270	+	8.15544i	−0.410621	+	0.911806i
$81$	−3.64099	+	6.30638i	−0.404554	+	0.700708i
$82$	1.94186	+	6.06220i	0.214443	+	0.669458i
$83$	4.94034	−	4.94034i	0.542273	−	0.542273i	−0.381921	−	0.924195i	$-0.624738\pi$
$83$	4.94034	−	4.94034i	0.542273	−	0.542273i	0.924195	+	0.381921i	$0.124738\pi$
$84$	−1.83953	−	8.17560i	−0.200709	−	0.892031i
$85$	2.86006	−	0.489413i	0.310217	−	0.0530843i
$86$	−12.5541	−	6.46263i	−1.35375	−	0.696883i
$87$	2.07991	+	7.76234i	0.222990	+	0.832210i
$88$	−9.15179	+	3.93842i	−0.975584	+	0.419837i
$89$	4.71065	−	2.71969i	0.499328	−	0.288287i	−0.229108	−	0.973401i	$-0.573581\pi$
$89$	4.71065	−	2.71969i	0.499328	−	0.288287i	0.728436	+	0.685114i	$0.240248\pi$
$90$	1.05053	+	1.14758i	0.110735	+	0.120966i
$91$	−0.786943	−	6.26655i	−0.0824941	−	0.656913i
$92$	2.54755	+	6.80543i	0.265600	+	0.709515i
$93$	−1.14595	+	4.27674i	−0.118829	+	0.443477i
$94$	0.563554	+	11.6838i	0.0581262	+	1.20510i
$95$	15.5353	−	7.14886i	1.59389	−	0.733457i
$96$	2.13802	+	8.69972i	0.218211	+	0.887912i
$97$	−5.73033	−	5.73033i	−0.581827	−	0.581827i	0.353578	−	0.935405i	$-0.384965\pi$
$97$	−5.73033	−	5.73033i	−0.581827	−	0.581827i	−0.935405	+	0.353578i	$0.884965\pi$
$98$	8.38821	−	5.25717i	0.847338	−	0.531055i
$99$			1.73306i			0.174179i
$100$	−9.06723	+	4.21727i	−0.906723	+	0.421727i
$101$	1.55648	+	0.898635i	0.154876	+	0.0894175i	0.575435	−	0.817848i	$-0.304833\pi$
$101$	1.55648	+	0.898635i	0.154876	+	0.0894175i	−0.420559	+	0.907265i	$0.638166\pi$
$102$	1.95366	−	2.15167i	0.193441	−	0.213047i
$103$	−0.106310	+	0.396755i	−0.0104751	+	0.0390934i	−0.970966	−	0.239219i	$-0.923109\pi$
$103$	−0.106310	+	0.396755i	−0.0104751	+	0.0390934i	0.960491	+	0.278313i	$0.0897752\pi$
$104$	0.972843	+	6.68138i	0.0953951	+	0.655164i
$105$	4.41758	−	8.26229i	0.431111	−	0.806316i
$106$	9.32387	+	14.4892i	0.905614	+	1.40732i
$107$	−0.587465	+	2.19245i	−0.0567924	+	0.211952i	−0.988491	−	0.151281i	$-0.951660\pi$
$107$	−0.587465	+	2.19245i	−0.0567924	+	0.211952i	0.931698	+	0.363233i	$0.118327\pi$
$108$	10.9094	+	1.82112i	1.04975	+	0.175237i
$109$	1.42491	−	2.46801i	0.136481	−	0.236392i	−0.789681	−	0.613517i	$-0.789754\pi$
$109$	1.42491	−	2.46801i	0.136481	−	0.236392i	0.926162	+	0.377125i	$0.123087\pi$
$110$	−10.6220	−	3.35486i	−1.01277	−	0.319873i
$111$		−	2.08445i		−	0.197848i
$112$	−8.85513	+	5.79539i	−0.836732	+	0.547613i
$113$	−6.70606	+	6.70606i	−0.630853	+	0.630853i	−0.948282	−	0.317429i	$-0.897180\pi$
$113$	−6.70606	+	6.70606i	−0.630853	+	0.630853i	0.317429	+	0.948282i	$0.397180\pi$
$114$	7.83970	−	15.2292i	0.734255	−	1.42634i
$115$	−2.81724	+	7.62024i	−0.262709	+	0.710591i
$116$	8.25993	−	5.89673i	0.766915	−	0.547498i
$117$	1.13443	+	0.303969i	0.104878	+	0.0281020i
$118$	−3.72744	+	17.1841i	−0.343139	+	1.58193i
$119$	3.16401	+	1.33278i	0.290045	+	0.122176i
$120$	−4.54799	+	8.92391i	−0.415173	+	0.814638i
$121$	−0.704146	−	1.21962i	−0.0640133	−	0.110874i
$122$	−13.5202	−	12.2760i	−1.22406	−	1.11141i
$123$	1.84496	+	6.88548i	0.166354	+	0.620843i
$124$	5.56562	−	0.538152i	0.499807	−	0.0483275i
$125$	−10.7543	−	3.05711i	−0.961890	−	0.273436i
$126$	0.317102	+	1.81334i	0.0282497	+	0.161545i
$127$	1.37573	−	1.37573i	0.122076	−	0.122076i	−0.643429	−	0.765506i	$-0.722489\pi$
$127$	1.37573	−	1.37573i	0.122076	−	0.122076i	0.765506	+	0.643429i	$0.222489\pi$
$128$	9.34288	−	6.38048i	0.825802	−	0.563960i
$129$	−13.6934	−	7.90590i	−1.20564	−	0.696076i
$130$	−4.05909	+	6.36458i	−0.356006	+	0.558211i
$131$	2.04335	+	3.53919i	0.178528	+	0.309220i	0.941377	−	0.337357i	$-0.109533\pi$
$131$	2.04335	+	3.53919i	0.178528	+	0.309220i	−0.762848	+	0.646578i	$0.776200\pi$
$132$	−10.4490	+	3.91147i	−0.909466	+	0.340450i
$133$	20.0452	+	2.76095i	1.73814	+	0.239405i
$134$	2.56318	+	3.98315i	0.221425	+	0.344092i
$135$	7.90061	+	9.51282i	0.679976	+	0.818733i
$136$	−3.40983	−	1.35802i	−0.292391	−	0.116449i
$137$	18.3655	−	4.92103i	1.56907	−	0.420432i	0.633552	−	0.773700i	$-0.281596\pi$
$137$	18.3655	−	4.92103i	1.56907	−	0.420432i	0.935522	+	0.353268i	$0.114930\pi$
$138$	2.48233	+	7.74948i	0.211310	+	0.659679i
$139$		−	4.28772i		−	0.363680i	−0.983328	−	0.181840i	$-0.941795\pi$
$139$		−	4.28772i		−	0.363680i	0.983328	−	0.181840i	$-0.0582052\pi$
$140$	−11.7280	−	1.56674i	−0.991195	−	0.132413i
$141$			13.0990i			1.10314i
$142$	−3.51494	+	1.12592i	−0.294967	+	0.0944847i
$143$	−8.12226	+	2.17635i	−0.679217	+	0.181996i
$144$	−0.377048	−	1.93150i	−0.0314207	−	0.160959i
$145$	11.2984	+	1.04605i	0.938278	+	0.0868700i
$146$	−1.93011	+	1.24204i	−0.159737	+	0.102792i
$147$	9.66604	−	5.42772i	0.797241	−	0.447671i
$148$	−2.46536	+	0.922884i	−0.202651	+	0.0758606i
$149$	−1.06581	−	1.84604i	−0.0873149	−	0.151234i	0.819060	−	0.573707i	$-0.194495\pi$
$149$	−1.06581	−	1.84604i	−0.0873149	−	0.151234i	−0.906375	+	0.422473i	$0.861162\pi$
$150$	−10.3694	+	4.22793i	−0.846660	+	0.345209i
$151$	13.8226	+	7.98046i	1.12486	+	0.649441i	0.942638	−	0.333816i	$-0.108336\pi$
$151$	13.8226	+	7.98046i	1.12486	+	0.649441i	0.182226	+	0.983257i	$0.441670\pi$
$152$	−21.4831	−	2.52964i	−1.74251	−	0.205181i
$153$	−0.451439	+	0.451439i	−0.0364967	+	0.0364967i
$154$	−8.45777	−	10.1085i	−0.681546	−	0.814568i
$155$	5.10279	+	3.61159i	0.409866	+	0.290090i
$156$	0.727684	+	7.52577i	0.0582613	+	0.602544i
$157$	0.0801167	+	0.299000i	0.00639401	+	0.0238628i	0.969049	−	0.246868i	$-0.0794014\pi$
$157$	0.0801167	+	0.299000i	0.00639401	+	0.0238628i	−0.962655	+	0.270731i	$0.912735\pi$
$158$	6.96581	−	7.67184i	0.554170	−	0.610339i
$159$	9.64726	+	16.7095i	0.765078	+	1.32515i
$160$	12.5682	+	1.42806i	0.993607	+	0.112898i
$161$	−7.66121	+	5.80626i	−0.603788	+	0.457597i
$162$	10.0642	+	2.18305i	0.790720	+	0.171517i
$163$	−17.6591	−	4.73174i	−1.38317	−	0.370618i	−0.510896	−	0.859643i	$-0.670686\pi$
$163$	−17.6591	−	4.73174i	−1.38317	−	0.370618i	−0.872270	+	0.489024i	$0.837353\pi$
$164$	7.32686	−	5.23062i	0.572132	−	0.408443i
$165$	−11.7000	−	4.32555i	−0.910844	−	0.336744i
$166$	−8.78501	−	4.52235i	−0.681849	−	0.351003i
$167$	−11.0028	+	11.0028i	−0.851425	+	0.851425i	−0.990309	−	0.138884i	$-0.955649\pi$
$167$	−11.0028	+	11.0028i	−0.851425	+	0.851425i	0.138884	+	0.990309i	$0.455649\pi$
$168$	−10.2173	+	6.00455i	−0.788285	+	0.463261i
$169$		−	7.30159i		−	0.561660i
$170$	−1.89301	−	3.64081i	−0.145187	−	0.279237i
$171$	−1.88135	+	3.25859i	−0.143870	+	0.249191i
$172$	−3.28789	+	19.6960i	−0.250700	+	1.50181i
$173$	1.08221	−	4.03885i	0.0822786	−	0.307068i	−0.912506	−	0.409063i	$-0.865856\pi$
$173$	1.08221	−	4.03885i	0.0822786	−	0.307068i	0.994785	+	0.101995i	$0.0325225\pi$
$174$	9.55706	−	6.15000i	0.724518	−	0.466231i
$175$	−8.77919	−	9.89575i	−0.663644	−	0.748048i
$176$	9.25247	+	10.6266i	0.697431	+	0.801009i
$177$	−5.09632	+	19.0197i	−0.383063	+	1.42961i
$178$	−5.69513	−	5.17101i	−0.426868	−	0.387584i
$179$	17.6513	+	10.1910i	1.31932	+	0.761711i	0.983619	−	0.180257i	$-0.0576930\pi$
$179$	17.6513	+	10.1910i	1.31932	+	0.761711i	0.335702	+	0.941968i	$0.391026\pi$
$180$	1.09236	−	1.90993i	0.0814195	−	0.142358i
$181$			17.3870i			1.29237i	0.763182	+	0.646183i	$0.223636\pi$
$181$			17.3870i			1.29237i	−0.763182	+	0.646183i	$0.776364\pi$
$182$	−8.10032	+	3.76332i	−0.600436	+	0.278956i
$183$	−14.4604	−	14.4604i	−1.06894	−	1.06894i
$184$	8.06655	−	6.36700i	0.594674	−	0.469381i
$185$	−2.76054	−	1.02058i	−0.202959	−	0.0750349i
$186$	6.25430	−	0.301668i	0.458588	−	0.0221194i
$187$	1.18307	−	4.41527i	0.0865146	−	0.322877i
$188$	15.4927	−	5.79955i	1.12992	−	0.422975i
$189$	1.82307	+	14.5174i	0.132609	+	1.05599i
$190$	−16.3302	−	17.8389i	−1.18472	−	1.29417i
$191$	2.18647	−	1.26236i	0.158208	−	0.0913412i	−0.418806	−	0.908076i	$-0.637551\pi$
$191$	2.18647	−	1.26236i	0.158208	−	0.0913412i	0.577014	+	0.816735i	$0.304218\pi$
$192$	10.7945	−	6.63266i	0.779023	−	0.478671i
$193$	−7.11247	−	26.5441i	−0.511967	−	1.91069i	−0.398571	−	0.917138i	$-0.630494\pi$
$193$	−7.11247	−	26.5441i	−0.511967	−	1.91069i	−0.113396	−	0.993550i	$-0.536173\pi$
$194$	−5.24550	+	10.1898i	−0.376605	+	0.731583i
$195$	−4.88356	+	6.89995i	−0.349719	+	0.494115i
$196$	−10.6992	−	9.02928i	−0.764226	−	0.644948i
$197$	16.1289	−	16.1289i	1.14913	−	1.14913i	0.162412	−	0.986723i	$-0.448073\pi$
$197$	16.1289	−	16.1289i	1.14913	−	1.14913i	0.986723	−	0.162412i	$-0.0519273\pi$
$198$	2.33409	−	0.747662i	0.165876	−	0.0531340i
$199$	2.41828	−	4.18858i	0.171427	−	0.296921i	−0.767492	−	0.641059i	$-0.778495\pi$
$199$	2.41828	−	4.18858i	0.171427	−	0.296921i	0.938919	+	0.344138i	$0.111829\pi$
$200$	9.59155	+	10.3924i	0.678225	+	0.734854i
$201$	2.65208	+	4.59353i	0.187063	+	0.324003i
$202$	0.538801	−	2.48396i	0.0379099	−	0.174771i
$203$	10.6022	+	8.23647i	0.744129	+	0.578087i
$204$	−3.74071	−	1.70294i	−0.261902	−	0.119229i
$205$	10.0221	+	0.927888i	0.699972	+	0.0648065i
$206$	0.580215	−	0.0279859i	0.0404255	−	0.00194987i
$207$	−0.462653	−	1.72665i	−0.0321566	−	0.120010i
$208$	8.57882	−	4.19266i	0.594834	−	0.290709i
$209$		−	26.9401i		−	1.86348i
$210$	−13.0335	−	2.38516i	−0.899396	−	0.164592i
$211$	−8.85681			−0.609728			−0.304864	−	0.952396i	$-0.598611\pi$
$211$	−8.85681			−0.609728			−0.304864	+	0.952396i	$0.598611\pi$
$212$	15.4917	−	18.8083i	1.06398	−	1.29176i
$213$	−3.99229	+	1.06973i	−0.273547	+	0.0732967i
$214$	3.20624	−	0.154649i	0.219174	−	0.0105716i
$215$	−17.1747	+	14.2639i	−1.17130	+	0.972793i
$216$	−2.25374	−	15.4784i	−0.153347	−	1.05317i
$217$	2.78981	+	6.85069i	0.189385	+	0.465055i
$218$	−3.93865	−	0.854340i	−0.266759	−	0.0578632i
$219$	−2.22589	+	1.28512i	−0.150411	+	0.0868401i
$220$	0.0641374	+	15.7531i	0.00432414	+	1.06208i
$221$	−2.68266	−	1.54883i	−0.180455	−	0.104186i
$222$	−2.80735	+	0.899259i	−0.188417	+	0.0603543i
$223$	0.581823	+	0.581823i	0.0389618	+	0.0389618i	0.726319	−	0.687358i	$-0.241229\pi$
$223$	0.581823	+	0.581823i	0.0389618	+	0.0389618i	−0.687358	+	0.726319i	$0.741229\pi$
$224$	11.6255	+	9.42593i	0.776760	+	0.629797i
$225$	2.31999	−	0.817941i	0.154666	−	0.0545294i
$226$	11.9248	+	6.13868i	0.793228	+	0.408339i
$227$	9.41401	−	2.52248i	0.624829	−	0.167423i	0.0675072	−	0.997719i	$-0.478495\pi$
$227$	9.41401	−	2.52248i	0.624829	−	0.167423i	0.557322	+	0.830296i	$0.311829\pi$
$228$	−23.8929	−	3.98849i	−1.58235	−	0.264144i
$229$	−5.21707	−	9.03624i	−0.344754	−	0.597131i	0.640555	−	0.767912i	$-0.278704\pi$
$229$	−5.21707	−	9.03624i	−0.344754	−	0.597131i	−0.985309	+	0.170781i	$0.945371\pi$
$230$	11.4784	+	0.506811i	0.756861	+	0.0334181i
$231$	−8.91485	−	11.7629i	−0.586554	−	0.773943i
$232$	−11.5052	−	8.58059i	−0.755352	−	0.563343i
$233$	−12.9859	−	3.47955i	−0.850732	−	0.227953i	−0.192994	−	0.981200i	$-0.561820\pi$
$233$	−12.9859	−	3.47955i	−0.850732	−	0.227953i	−0.657738	+	0.753247i	$0.728487\pi$
$234$	−0.0800192	−	1.65899i	−0.00523102	−	0.108452i
$235$	17.3476	+	6.41351i	1.13164	+	0.418371i
$236$	24.7517	−	2.39330i	1.61120	−	0.155791i
$237$	8.20532	−	8.20532i	0.532993	−	0.532993i
$238$	0.430002	−	4.83629i	0.0278729	−	0.313490i
$239$	−26.1978			−1.69460			−0.847298	−	0.531118i	$-0.821772\pi$
$239$	−26.1978			−1.69460			−0.847298	+	0.531118i	$0.821772\pi$
$240$	13.9808	+	2.27538i	0.902458	+	0.146875i
$241$	−10.5712	+	18.3099i	−0.680953	+	1.17945i	0.293737	+	0.955886i	$0.405101\pi$
$241$	−10.5712	+	18.3099i	−0.680953	+	1.17945i	−0.974690	+	0.223559i	$0.928232\pi$
$242$	−1.33881	+	1.47451i	−0.0860619	+	0.0947848i
$243$	−4.88588	−	1.30917i	−0.313429	−	0.0839831i
$244$	−10.7005	+	23.5051i	−0.685032	+	1.50476i
$245$	−2.45551	−	15.4587i	−0.156877	−	0.987618i
$246$	8.47746	−	5.45528i	0.540503	−	0.347816i
$247$	−17.6345	−	4.72515i	−1.12206	−	0.300654i
$248$	−3.12586	−	7.26363i	−0.198492	−	0.461241i
$249$	−9.58225	−	5.53231i	−0.607250	−	0.350596i
$250$	0.522185	+	15.8028i	0.0330259	+	0.999454i
$251$	12.3678			0.780648			0.390324	−	0.920677i	$-0.372363\pi$
$251$	12.3678			0.780648			0.390324	+	0.920677i	$0.372363\pi$
$252$	2.30542	−	1.20937i	0.145228	−	0.0761833i
$253$	9.04991	+	9.04991i	0.568963	+	0.568963i
$254$	−2.44635	−	1.25933i	−0.153497	−	0.0790176i
$255$	−1.92095	−	4.17446i	−0.120295	−	0.261415i
$256$	−12.6239	−	9.83042i	−0.788994	−	0.614401i
$257$	−1.89128	+	7.05835i	−0.117975	+	0.440288i	−0.999492	−	0.0318637i	$-0.989856\pi$
$257$	−1.89128	+	7.05835i	−0.117975	+	0.440288i	0.881517	+	0.472151i	$0.156522\pi$
$258$	−4.74019	+	21.8531i	−0.295112	+	1.36051i
$259$	−2.10340	−	2.77538i	−0.130699	−	0.172454i
$260$	10.3230	+	2.72104i	0.640205	+	0.168752i
$261$	−2.16208	+	1.24828i	−0.133829	+	0.0772664i
$262$	3.88507	−	4.27885i	0.240020	−	0.264348i
$263$	0.678733	−	0.181866i	0.0418524	−	0.0112143i	−0.237832	−	0.971306i	$-0.576437\pi$
$263$	0.678733	−	0.181866i	0.0418524	−	0.0112143i	0.279685	+	0.960092i	$0.409770\pi$
$264$	9.77580	+	12.3853i	0.601659	+	0.762260i
$265$	26.8527	−	4.59502i	1.64955	−	0.282270i
$266$	−4.92929	−	28.1881i	−0.302234	−	1.72832i
$267$	−6.09115	−	6.09115i	−0.372773	−	0.372773i
$268$	4.25875	−	5.17048i	0.260144	−	0.315837i
$269$	13.5648	−	23.4949i	0.827059	−	1.43251i	−0.0732765	−	0.997312i	$-0.523346\pi$
$269$	13.5648	−	23.4949i	0.827059	−	1.43251i	0.900335	−	0.435197i	$-0.143321\pi$
$270$	9.40349	−	14.7445i	0.572278	−	0.897323i
$271$	8.49993	−	4.90744i	0.516334	−	0.298106i	−0.219100	−	0.975703i	$-0.570312\pi$
$271$	8.49993	−	4.90744i	0.516334	−	0.298106i	0.735433	+	0.677597i	$0.236979\pi$
$272$	−0.357940	+	5.17825i	−0.0217033	+	0.313977i
$273$	−9.26343	+	3.77235i	−0.560648	+	0.228313i
$274$	−14.5508	−	22.6118i	−0.879045	−	1.36603i
$275$	−11.4570	+	13.3770i	−0.690886	+	0.806662i
$276$	9.36612	−	6.68644i	0.563774	−	0.402476i
$277$	−2.60575	−	9.72480i	−0.156564	−	0.584306i	−0.998966	−	0.0454566i	$-0.985526\pi$
$277$	−2.60575	−	9.72480i	−0.156564	−	0.584306i	0.842402	−	0.538850i	$-0.181141\pi$
$278$	−5.77472	+	1.84977i	−0.346345	+	0.110942i
$279$	−1.37550			−0.0823490
$280$	2.94950	+	16.4712i	0.176266	+	0.984342i
$281$	−18.5208			−1.10486			−0.552429	−	0.833560i	$-0.686299\pi$
$281$	−18.5208			−1.10486			−0.552429	+	0.833560i	$0.686299\pi$
$282$	17.6418	−	5.65109i	1.05056	−	0.336517i
$283$	−1.44170	−	5.38049i	−0.0857000	−	0.319837i	0.909746	−	0.415166i	$-0.136276\pi$
$283$	−1.44170	−	5.38049i	−0.0857000	−	0.319837i	−0.995446	+	0.0953290i	$0.969610\pi$
$284$	3.03278	+	4.24821i	0.179962	+	0.252085i
$285$	−17.3033	−	20.8343i	−1.02496	−	1.23412i
$286$	6.43516	+	10.0002i	0.380519	+	0.591324i
$287$	9.40455	+	7.30606i	0.555133	+	0.431263i
$288$	−2.43870	+	1.34108i	−0.143701	+	0.0790242i
$289$	−13.2641	+	7.65805i	−0.780243	+	0.450474i
$290$	−3.46543	−	15.6680i	−0.203497	−	0.920055i
$291$	−6.41696	+	11.1145i	−0.376169	+	0.651543i
$292$	2.50546	+	2.06366i	0.146621	+	0.120766i
$293$	−3.56250	−	3.56250i	−0.208123	−	0.208123i	0.595346	−	0.803469i	$-0.297015\pi$
$293$	−3.56250	−	3.56250i	−0.208123	−	0.208123i	−0.803469	+	0.595346i	$0.797015\pi$
$294$	−11.4801	−	10.6767i	−0.669535	−	0.622677i
$295$	22.6934	+	16.0617i	1.32126	+	0.935147i
$296$	2.30653	+	2.92222i	0.134064	+	0.169850i
$297$	18.8164	−	5.04185i	1.09184	−	0.292558i
$298$	−2.02646	+	2.23185i	−0.117389	+	0.129288i
$299$	7.51122	−	4.33661i	0.434385	−	0.250792i
$300$	10.1677	+	12.1416i	0.587032	+	0.700997i
$301$	−26.2101	+	3.29142i	−1.51072	+	0.189714i
$302$	4.78490	−	22.0592i	0.275340	−	1.26936i
$303$	0.736672	−	2.74930i	0.0423207	−	0.157943i
$304$	5.86115	+	30.0249i	0.336160	+	1.72205i
$305$	−26.2305	+	12.0705i	−1.50196	+	0.691152i
$306$	0.802757	+	0.413244i	0.0458906	+	0.0236236i
$307$	−1.49192	−	1.49192i	−0.0851481	−	0.0851481i	0.663250	−	0.748398i	$-0.269177\pi$
$307$	−1.49192	−	1.49192i	−0.0851481	−	0.0851481i	−0.748398	+	0.663250i	$0.769177\pi$
$308$	−9.96543	+	15.7519i	−0.567833	+	0.897548i
$309$	0.650494			0.0370053
$310$	2.66270	−	8.43055i	0.151231	−	0.478823i
$311$	−12.4858	−	7.20869i	−0.708006	−	0.408767i	0.102316	−	0.994752i	$-0.467375\pi$
$311$	−12.4858	−	7.20869i	−0.708006	−	0.408767i	−0.810322	+	0.585985i	$0.800708\pi$
$312$	9.82181	−	4.22676i	0.556050	−	0.239293i
$313$	−5.85232	−	1.56812i	−0.330793	−	0.0886356i	0.0896003	−	0.995978i	$-0.471441\pi$
$313$	−5.85232	−	1.56812i	−0.330793	−	0.0886356i	−0.420393	+	0.907342i	$0.638108\pi$
$314$	0.368131	−	0.236894i	0.0207748	−	0.0133687i
$315$	2.83454	+	0.661285i	0.159708	+	0.0372592i
$316$	−13.3376	−	6.07186i	−0.750299	−	0.341569i
$317$	−16.4112	−	4.39736i	−0.921744	−	0.246981i	−0.233413	−	0.972378i	$-0.574990\pi$
$317$	−16.4112	−	4.39736i	−0.921744	−	0.246981i	−0.688331	+	0.725397i	$0.741656\pi$
$318$	18.3426	−	20.2017i	1.02860	−	1.13285i
$319$	8.93738	−	15.4800i	0.500397	−	0.866713i
$320$	−3.49878	−	17.5430i	−0.195588	−	0.980686i
$321$	3.59460			0.200631
$322$	11.1250	+	7.81327i	0.619974	+	0.435417i
$323$	7.01755	−	7.01755i	0.390467	−	0.390467i
$324$	−1.40168	−	14.4963i	−0.0778714	−	0.805352i
$325$	6.74683	+	9.84584i	0.374247	+	0.546149i
$326$	1.24562	+	25.8247i	0.0689884	+	1.43030i
$327$	−4.35938	−	1.16809i	−0.241074	−	0.0645956i
$328$	−10.2055	−	7.61130i	−0.563506	−	0.420264i
$329$	13.2181	+	17.4409i	0.728736	+	0.961549i
$330$	−0.778151	+	17.6237i	−0.0428358	+	0.970154i
$331$	9.87135	+	17.0977i	0.542578	+	0.939773i	0.998755	+	0.0498839i	$0.0158851\pi$
$331$	9.87135	+	17.0977i	0.542578	+	0.939773i	−0.456177	+	0.889889i	$0.650782\pi$
$332$	−2.30077	+	13.7827i	−0.126271	+	0.756423i
$333$	0.625501	−	0.167603i	0.0342773	−	0.00918456i
$334$	19.5654	+	10.0719i	1.07057	+	0.551111i
$335$	7.38192	−	1.26319i	0.403318	−	0.0690156i
$336$	12.4948	+	11.1703i	0.681649	+	0.609391i
$337$	−16.0087	−	16.0087i	−0.872050	−	0.872050i	0.120646	−	0.992696i	$-0.461503\pi$
$337$	−16.0087	−	16.0087i	−0.872050	−	0.872050i	−0.992696	+	0.120646i	$0.961503\pi$
$338$	−9.83381	+	3.14999i	−0.534889	+	0.171337i
$339$	13.0070	+	7.50960i	0.706444	+	0.407866i
$340$	−4.08679	+	4.12020i	−0.221637	+	0.223449i
$341$	8.52885	−	4.92414i	0.461863	−	0.266657i
$342$	5.20032	+	1.12801i	0.281201	+	0.0609959i
$343$	7.39296	−	16.9807i	0.399182	−	0.916872i
$344$	27.9451	−	4.06895i	1.50670	−	0.219383i
$345$	12.8115	+	1.18614i	0.689747	+	0.0638598i
$346$	−5.90642	+	0.284888i	−0.317531	+	0.0153157i
$347$	3.64339	−	0.976243i	0.195587	−	0.0524075i	−0.159695	−	0.987166i	$-0.551051\pi$
$347$	3.64339	−	0.976243i	0.195587	−	0.0524075i	0.355283	+	0.934759i	$0.384385\pi$
$348$	−12.4059	−	10.2183i	−0.665025	−	0.547758i
$349$	−24.7370			−1.32414			−0.662069	−	0.749443i	$-0.730322\pi$
$349$	−24.7370			−1.32414			−0.662069	+	0.749443i	$0.730322\pi$
$350$	−9.54019	+	16.0930i	−0.509945	+	0.860207i
$351$		−	13.2012i		−	0.704630i
$352$	10.3203	−	17.0457i	0.550075	−	0.908540i
$353$	5.66275	+	21.1337i	0.301398	+	1.12483i	0.936002	+	0.351995i	$0.114497\pi$
$353$	5.66275	+	21.1337i	0.301398	+	1.12483i	−0.634604	+	0.772838i	$0.718837\pi$
$354$	27.8145	−	1.34160i	1.47832	−	0.0713050i
$355$	−0.538001	+	5.81092i	−0.0285541	+	0.308412i
$356$	−4.50740	+	9.90106i	−0.238892	+	0.524755i
$357$	0.741888	−	5.38630i	0.0392649	−	0.285073i
$358$	6.11029	−	28.1694i	0.322939	−	1.48880i
$359$	10.7425	+	18.6065i	0.566967	+	0.982016i	0.996864	+	0.0791378i	$0.0252167\pi$
$359$	10.7425	+	18.6065i	0.566967	+	0.982016i	−0.429897	+	0.902878i	$0.641450\pi$
$360$	−3.04356	−	0.647223i	−0.160410	−	0.0341116i
$361$	19.7452	−	34.1997i	1.03922	−	1.79999i
$362$	23.4169	−	7.50097i	1.23077	−	0.394242i
$363$	−1.57704	+	1.57704i	−0.0827731	+	0.0827731i
$364$	8.56304	+	9.28601i	0.448825	+	0.486719i
$365$	0.612104	+	3.57705i	0.0320390	+	0.187232i
$366$	−13.2369	+	25.7137i	−0.691904	+	1.34407i
$367$	9.60753	+	35.8558i	0.501509	+	1.87166i	0.489997	+	0.871724i	$0.336998\pi$
$367$	9.60753	+	35.8558i	0.501509	+	1.87166i	0.0115121	+	0.999934i	$0.496336\pi$
$368$	−12.0551	−	8.11726i	−0.628416	−	0.423142i
$369$	−1.91784	+	1.10727i	−0.0998389	+	0.0576420i
$370$	−0.183599	+	4.15820i	−0.00954487	+	0.216174i
$371$	29.7064	+	12.5133i	1.54228	+	0.649656i
$372$	−3.10447	−	8.29318i	−0.160959	−	0.429982i
$373$	1.02235	−	3.81547i	0.0529354	−	0.197557i	−0.934394	−	0.356241i	$-0.884058\pi$
$373$	1.02235	−	3.81547i	0.0529354	−	0.197557i	0.987330	+	0.158683i	$0.0507249\pi$
$374$	−6.45690	+	0.311440i	−0.333878	+	0.0161042i
$375$	−0.268491	+	17.7039i	−0.0138648	+	0.914227i
$376$	−14.4946	−	18.3637i	−0.747502	−	0.947034i
$377$	−8.56537	−	8.56537i	−0.441139	−	0.441139i
$378$	18.7656	−	8.71831i	0.965199	−	0.448422i
$379$			19.2397i			0.988279i	0.869383	+	0.494140i	$0.164517\pi$
$379$			19.2397i			0.988279i	−0.869383	+	0.494140i	$0.835483\pi$
$380$	−16.9805	+	29.6896i	−0.871081	+	1.52304i
$381$	−2.66835	−	1.54058i	−0.136704	−	0.0789261i
$382$	−2.64342	−	2.40015i	−0.135249	−	0.122803i
$383$	−9.59518	+	35.8097i	−0.490291	+	1.82979i	0.0646604	+	0.997907i	$0.479404\pi$
$383$	−9.59518	+	35.8097i	−0.490291	+	1.82979i	−0.554951	+	0.831883i	$0.687263\pi$
$384$	−13.5898	−	11.6766i	−0.693500	−	0.595870i
$385$	−19.9430	+	6.04700i	−1.01639	+	0.308184i
$386$	−32.6813	+	21.0306i	−1.66344	+	1.07043i
$387$	1.27136	−	4.74479i	0.0646270	−	0.241191i
$388$	15.9866	+	2.66867i	0.811597	+	0.135481i
$389$	−15.3735	+	26.6277i	−0.779467	+	1.35008i	0.152782	+	0.988260i	$0.451177\pi$
$389$	−15.3735	+	26.6277i	−0.779467	+	1.35008i	−0.932249	+	0.361817i	$0.882157\pi$
$390$	11.3997	+	3.60048i	0.577247	+	0.182317i
$391$			4.71477i			0.238436i
$392$	−7.54493	+	18.3050i	−0.381076	+	0.924544i
$393$	4.57639	−	4.57639i	0.230848	−	0.230848i
$394$	−28.6806	−	14.7643i	−1.44491	−	0.743812i
$395$	−6.84921	−	14.8841i	−0.344621	−	0.748902i
$396$	−2.01391	−	2.82101i	−0.101203	−	0.141761i
$397$	−5.29926	−	1.41993i	−0.265962	−	0.0712643i	0.123373	−	0.992360i	$-0.460629\pi$
$397$	−5.29926	−	1.41993i	−0.265962	−	0.0712643i	−0.389336	+	0.921096i	$0.627295\pi$
$398$	−6.68448	−	1.44994i	−0.335063	−	0.0726791i
$399$	−3.99276	−	31.7950i	−0.199888	−	1.59174i
$400$	9.85863	−	17.4014i	0.492932	−	0.870068i
$401$	−6.76757	−	11.7218i	−0.337956	−	0.585357i	0.646092	−	0.763260i	$-0.276402\pi$
$401$	−6.76757	−	11.7218i	−0.337956	−	0.585357i	−0.984048	+	0.177902i	$0.943069\pi$
$402$	5.04246	−	5.55354i	0.251495	−	0.276985i
$403$	−1.72734	−	6.44651i	−0.0860448	−	0.321124i
$404$	−3.57785	+	0.345951i	−0.178005	+	0.0172117i
$405$	9.40684	−	13.2909i	0.467430	−	0.660428i
$406$	6.51900	−	17.8324i	0.323533	−	0.885008i
$407$	−3.27845	+	3.27845i	−0.162507	+	0.162507i
$408$	−0.679733	+	5.77268i	−0.0336518	+	0.285790i
$409$	22.6003	+	13.0483i	1.11751	+	0.645197i	0.940765	−	0.339058i	$-0.110108\pi$
$409$	22.6003	+	13.0483i	1.11751	+	0.645197i	0.176750	+	0.984256i	$0.443442\pi$
$410$	−3.07396	−	13.8981i	−0.151812	−	0.686377i
$411$	−15.0555	−	26.0768i	−0.742632	−	1.28628i
$412$	−0.288004	−	0.769363i	−0.0141889	−	0.0379038i
$413$	12.4070	+	30.4668i	0.610508	+	1.49917i
$414$	−2.12586	+	1.36800i	−0.104480	+	0.0672335i
$415$	−12.0183	+	9.98148i	−0.589956	+	0.489972i
$416$	−9.34771	−	9.74524i	−0.458309	−	0.477800i
$417$	−6.55896	+	1.75747i	−0.321193	+	0.0860635i
$418$	−36.2830	+	11.6223i	−1.77466	+	0.568464i
$419$		−	12.8847i		−	0.629460i	−0.949181	−	0.314730i	$-0.898086\pi$
$419$		−	12.8847i		−	0.629460i	0.949181	−	0.314730i	$-0.101914\pi$
$420$	2.41046	+	18.5825i	0.117618	+	0.906735i
$421$			23.7295i			1.15650i	0.815858	+	0.578252i	$0.196265\pi$
$421$			23.7295i			1.15650i	−0.815858	+	0.578252i	$0.803735\pi$
$422$	3.82094	+	11.9284i	0.186000	+	0.580665i
$423$	−3.93075	+	1.05324i	−0.191119	+	0.0512103i
$424$	−32.0144	−	12.7502i	−1.55476	−	0.619205i
$425$	−6.46895	+	0.500116i	−0.313790	+	0.0242592i
$426$	3.16304	+	4.91534i	0.153250	+	0.238149i
$427$	−33.8452	−	4.66171i	−1.63789	−	0.225596i
$428$	−1.59149	−	4.25147i	−0.0769278	−	0.205502i
$429$	6.65837	+	11.5326i	0.321469	+	0.556800i
$430$	26.6201	+	16.9773i	1.28374	+	0.818717i
$431$	1.42359	+	0.821912i	0.0685721	+	0.0395901i	0.533894	−	0.845551i	$-0.320728\pi$
$431$	1.42359	+	0.821912i	0.0685721	+	0.0395901i	−0.465322	+	0.885141i	$0.654061\pi$
$432$	−19.8741	+	9.71293i	−0.956195	+	0.467314i
$433$	−2.40313	+	2.40313i	−0.115487	+	0.115487i	−0.762489	−	0.647002i	$-0.776023\pi$
$433$	−2.40313	+	2.40313i	−0.115487	+	0.115487i	0.647002	+	0.762489i	$0.276023\pi$
$434$	8.02298	−	6.71280i	0.385116	−	0.322225i
$435$	−3.03086	−	17.7120i	−0.145319	−	0.849223i
$436$	0.548551	+	5.67316i	0.0262708	+	0.271695i
$437$	7.19187	+	26.8404i	0.344034	+	1.28395i
$438$	2.69107	+	2.44342i	0.128585	+	0.116751i
$439$	−3.15999	−	5.47326i	−0.150818	−	0.261225i	0.780710	−	0.624893i	$-0.214857\pi$
$439$	−3.15999	−	5.47326i	−0.150818	−	0.261225i	−0.931528	+	0.363668i	$0.881524\pi$
$440$	21.1887	−	6.88248i	1.01013	−	0.328110i
$441$	2.40595	+	2.46415i	0.114569	+	0.117341i
$442$	−0.928645	+	4.28120i	−0.0441711	+	0.203636i
$443$	−27.4343	−	7.35101i	−1.30344	−	0.349257i	−0.460693	−	0.887559i	$-0.652399\pi$
$443$	−27.4343	−	7.35101i	−1.30344	−	0.349257i	−0.842752	+	0.538303i	$0.819066\pi$
$444$	2.42225	+	3.39301i	0.114955	+	0.161025i
$445$	−11.0491	+	5.08445i	−0.523778	+	0.241026i
$446$	0.532597	−	1.03461i	0.0252192	−	0.0489901i
$447$	−2.38705	+	2.38705i	−0.112903	+	0.112903i
$448$	7.67952	−	19.7237i	0.362823	−	0.931858i
$449$		−	3.54938i		−	0.167506i	−0.996487	−	0.0837528i	$-0.973309\pi$
$449$		−	3.54938i		−	0.167506i	0.996487	−	0.0837528i	$-0.0266906\pi$
$450$	−2.10248	−	2.77170i	−0.0991117	−	0.130659i
$451$	7.92778	−	13.7313i	0.373305	−	0.646583i
$452$	3.12308	−	18.7087i	0.146897	−	0.879984i
$453$	6.54213	−	24.4155i	0.307376	−	1.14714i
$454$	−7.45860	−	11.5906i	−0.350049	−	0.543974i
$455$	0.460357	+	14.1150i	0.0215819	+	0.661720i
$456$	4.93598	+	33.8998i	0.231148	+	1.58750i
$457$	−0.646641	+	2.41330i	−0.0302486	+	0.112889i	−0.979400	−	0.201932i	$-0.935278\pi$
$457$	−0.646641	+	2.41330i	−0.0302486	+	0.112889i	0.949151	+	0.314821i	$0.101945\pi$
$458$	−9.91934	+	10.9247i	−0.463500	+	0.510479i
$459$	6.21478	+	3.58811i	0.290081	+	0.167478i
$460$	−4.26933	−	15.6778i	−0.199059	−	0.730980i
$461$		−	23.6985i		−	1.10375i	−0.833928	−	0.551874i	$-0.813913\pi$
$461$		−	23.6985i		−	1.10375i	0.833928	−	0.551874i	$-0.186087\pi$
$462$	−11.9964	+	17.0812i	−0.558122	+	0.794691i
$463$	−13.4785	−	13.4785i	−0.626398	−	0.626398i	0.320762	−	0.947160i	$-0.396061\pi$
$463$	−13.4785	−	13.4785i	−0.626398	−	0.626398i	−0.947160	+	0.320762i	$0.896061\pi$
$464$	−6.59291	+	19.1970i	−0.306068	+	0.891199i
$465$	3.43313	−	9.28612i	0.159207	−	0.430633i
$466$	0.915984	+	18.9905i	0.0424321	+	0.879720i
$467$	0.652297	−	2.43441i	0.0301847	−	0.112651i	−0.949190	−	0.314704i	$-0.898095\pi$
$467$	0.652297	−	2.43441i	0.0301847	−	0.112651i	0.979375	+	0.202053i	$0.0647614\pi$
$468$	−2.19982	+	0.823479i	−0.101687	+	0.0380653i
$469$	8.16643	+	3.43996i	0.377091	+	0.158842i
$470$	1.15377	−	26.1308i	0.0532193	−	1.20532i
$471$	0.424544	−	0.245110i	0.0195619	−	0.0112941i
$472$	−13.9015	−	32.3032i	−0.639869	−	1.48688i
$473$	9.10267	+	33.9716i	0.418541	+	1.56202i
$474$	−14.5908	−	7.51109i	−0.670180	−	0.344996i
$475$	−36.0638	+	12.7148i	−1.65472	+	0.583393i
$476$	−6.69904	+	1.50730i	−0.307050	+	0.0690871i
$477$	−4.23849	+	4.23849i	−0.194067	+	0.194067i
$478$	11.3021	+	35.2833i	0.516944	+	1.61382i
$479$	9.15394	−	15.8551i	0.418254	−	0.724437i	−0.577510	−	0.816384i	$-0.695976\pi$
$479$	9.15394	−	15.8551i	0.418254	−	0.724437i	0.995764	+	0.0919464i	$0.0293088\pi$
$480$	−2.96701	−	19.8111i	−0.135425	−	0.904247i
$481$	1.57099	+	2.72104i	0.0716312	+	0.124069i
$482$	29.2204	+	6.33827i	1.33095	+	0.288700i
$483$	12.0221	+	9.33953i	0.547024	+	0.424963i
$484$	2.56345	+	1.16699i	0.116520	+	0.0530452i
$485$	11.5776	+	13.9401i	0.525710	+	0.632988i
$486$	0.344635	+	7.14512i	0.0156330	+	0.324109i
$487$	−7.34883	−	27.4262i	−0.333007	−	1.24280i	−0.906013	−	0.423249i	$-0.860890\pi$
$487$	−7.34883	−	27.4262i	−0.333007	−	1.24280i	0.573006	−	0.819551i	$-0.305777\pi$
$488$	36.2731	+	4.27116i	1.64201	+	0.193346i
$489$			28.9527i			1.30929i
$490$	−19.7605	+	9.97616i	−0.892687	+	0.450677i
$491$	11.3959			0.514290			0.257145	−	0.966373i	$-0.417218\pi$
$491$	11.3959			0.514290			0.257145	+	0.966373i	$0.417218\pi$
$492$	−11.0045	−	9.06401i	−0.496120	−	0.408637i
$493$	6.36042	−	1.70427i	0.286459	−	0.0767564i
$494$	1.24389	+	25.7887i	0.0559650	+	1.16029i
$495$	0.357258	−	3.85873i	0.0160576	−	0.173437i
$496$	−8.43416	+	7.34355i	−0.378705	+	0.329735i
$497$	−4.23614	+	5.45287i	−0.190017	+	0.244595i
$498$	−3.31705	+	15.2921i	−0.148640	+	0.685257i
$499$	23.4689	−	13.5498i	1.05061	−	0.606572i	0.127793	−	0.991801i	$-0.459211\pi$
$499$	23.4689	−	13.5498i	1.05061	−	0.606572i	0.922821	+	0.385228i	$0.125877\pi$
$500$	21.0580	−	7.52079i	0.941741	−	0.336340i
$501$	21.3410	+	12.3212i	0.953446	+	0.550472i
$502$	−5.33562	−	16.6570i	−0.238140	−	0.743439i
$503$	16.1198	+	16.1198i	0.718748	+	0.718748i	0.968349	−	0.249601i	$-0.0802995\pi$
$503$	16.1198	+	16.1198i	0.718748	+	0.718748i	−0.249601	+	0.968349i	$0.580300\pi$
$504$	−2.62337	−	2.58321i	−0.116854	−	0.115065i
$505$	−3.28033	−	2.32171i	−0.145973	−	0.103315i
$506$	8.28422	−	16.0927i	0.368278	−	0.715408i
$507$	−11.1693	+	2.99280i	−0.496046	+	0.132915i
$508$	−0.640692	+	3.83804i	−0.0284261	+	0.170286i
$509$	14.2916	+	24.7538i	0.633464	+	1.09719i	0.986838	+	0.161710i	$0.0517011\pi$
$509$	14.2916	+	24.7538i	0.633464	+	1.09719i	−0.353374	+	0.935482i	$0.614966\pi$
$510$	−4.79346	+	4.38806i	−0.212258	+	0.194307i
$511$	−1.66690	+	3.95720i	−0.0737392	+	0.175056i
$512$	−7.79355	+	21.2429i	−0.344430	+	0.938812i
$513$	40.8530	+	10.9465i	1.80370	+	0.483301i
$514$	10.3221	−	0.497875i	0.455290	−	0.0219603i
$515$	0.318493	−	0.861478i	0.0140345	−	0.0379613i
$516$	31.4768	−	3.04356i	1.38569	−	0.133985i
$517$	20.6023	−	20.6023i	0.906088	−	0.906088i
$518$	−2.83046	+	4.03020i	−0.124363	+	0.177077i
$519$	−6.62183			−0.290666
$520$	−0.788756	−	15.0769i	−0.0345892	−	0.661168i
$521$	19.3140	−	33.4528i	0.846160	−	1.46559i	−0.0384496	−	0.999261i	$-0.512242\pi$
$521$	19.3140	−	33.4528i	0.846160	−	1.46559i	0.884610	−	0.466332i	$-0.154425\pi$
$522$	2.61393	+	2.37338i	0.114409	+	0.103880i
$523$	23.5345	+	6.30604i	1.02909	+	0.275744i	0.733585	−	0.679597i	$-0.237845\pi$
$523$	23.5345	+	6.30604i	1.02909	+	0.275744i	0.295505	+	0.955341i	$0.404512\pi$
$524$	−7.43884	−	3.38649i	−0.324967	−	0.147939i
$525$	−11.5392	+	17.4857i	−0.503610	+	0.763138i
$526$	−0.537751	−	0.835661i	−0.0234471	−	0.0364366i
$527$	3.50433	+	0.938984i	0.152651	+	0.0409028i
$528$	12.4631	−	18.5092i	0.542388	−	0.805511i
$529$	8.48620	+	4.89951i	0.368965	+	0.213022i
$530$	−17.7732	−	34.1829i	−0.772017	−	1.48481i
$531$	−6.11720			−0.265464
$532$	−35.8373	+	18.7995i	−1.55374	+	0.815061i
$533$	−7.59780	−	7.59780i	−0.329097	−	0.329097i
$534$	−5.57580	+	10.8314i	−0.241288	+	0.468720i
$535$	1.75998	−	4.76049i	0.0760905	−	0.205814i
$536$	−8.80090	−	3.50509i	−0.380141	−	0.151397i
$537$	8.35425	−	31.1785i	0.360512	−	1.34545i
$538$	−37.4950	−	8.13313i	−1.61653	−	0.350644i
$539$	−23.7396	−	6.66607i	−1.02254	−	0.287128i
$540$	−23.9148	−	6.30370i	−1.02913	−	0.271268i
$541$	23.7632	−	13.7197i	1.02166	−	0.589855i	0.107075	−	0.994251i	$-0.465852\pi$
$541$	23.7632	−	13.7197i	1.02166	−	0.589855i	0.914584	+	0.404396i	$0.132518\pi$
$542$	−10.2763	−	9.33062i	−0.441406	−	0.400784i
$543$	26.5971	−	7.12666i	1.14139	−	0.305834i
$544$	7.12851	−	1.75188i	0.305632	−	0.0751114i
$545$	−3.68138	+	5.20140i	−0.157693	+	0.222803i
$546$	9.07698	+	10.8486i	0.388459	+	0.464277i
$547$	−15.9557	−	15.9557i	−0.682215	−	0.682215i	0.278284	−	0.960499i	$-0.410234\pi$
$547$	−15.9557	−	15.9557i	−0.682215	−	0.682215i	−0.960499	+	0.278284i	$0.910234\pi$
$548$	−24.1763	+	29.3521i	−1.03276	+	1.25386i
$549$	3.17655	−	5.50195i	0.135572	−	0.234818i
$550$	22.9589	+	9.65942i	0.978970	+	0.411879i
$551$	33.6091	−	19.4042i	1.43180	−	0.826648i
$552$	−13.0460	−	9.72973i	−0.555274	−	0.414125i
$553$	2.64522	−	19.2050i	0.112486	−	0.816679i
$554$	−11.9733	+	7.70484i	−0.508695	+	0.327347i
$555$	−0.429697	+	4.64113i	−0.0182396	+	0.197005i
$556$	4.98257	+	6.97941i	0.211308	+	0.295993i
$557$	0.620777	+	2.31677i	0.0263032	+	0.0981647i	0.977830	−	0.209402i	$-0.0671518\pi$
$557$	0.620777	+	2.31677i	0.0263032	+	0.0981647i	−0.951526	+	0.307567i	$0.900485\pi$
$558$	0.593408	+	1.85253i	0.0251209	+	0.0784239i
$559$	23.8338			1.00806
$560$	20.9110	−	11.0783i	0.883653	−	0.468143i
$561$	−7.23900			−0.305631
$562$	7.99010	+	24.9439i	0.337042	+	1.05219i
$563$	−3.36890	−	12.5729i	−0.141982	−	0.529884i	−0.999871	−	0.0160495i	$-0.994891\pi$
$563$	−3.36890	−	12.5729i	−0.141982	−	0.529884i	0.857889	−	0.513835i	$-0.171776\pi$
$564$	−15.2218	−	21.3222i	−0.640954	−	0.897826i
$565$	16.3138	−	13.5489i	0.686325	−	0.570008i
$566$	−6.62450	+	4.26289i	−0.278448	+	0.179183i
$567$	17.8435	−	7.26640i	0.749355	−	0.305160i
$568$	4.41313	−	5.91729i	0.185171	−	0.248284i
$569$	1.55807	−	0.899553i	0.0653177	−	0.0377112i	−0.466985	−	0.884265i	$-0.654660\pi$
$569$	1.55807	−	0.899553i	0.0653177	−	0.0377112i	0.532303	+	0.846554i	$0.321327\pi$
$570$	−20.5949	+	32.2924i	−0.862623	+	1.35258i
$571$	7.71307	−	13.3594i	0.322782	−	0.559075i	−0.658279	−	0.752774i	$-0.728715\pi$
$571$	7.71307	−	13.3594i	0.322782	−	0.559075i	0.981061	+	0.193699i	$0.0620486\pi$
$572$	10.6921	−	12.9811i	0.447059	−	0.542768i
$573$	−2.82724	−	2.82724i	−0.118110	−	0.118110i
$574$	5.78259	−	15.8180i	0.241361	−	0.660231i
$575$	7.84358	−	16.3861i	0.327100	−	0.683346i
$576$	2.85826	+	2.70589i	0.119094	+	0.112745i
$577$	−1.36356	+	0.365364i	−0.0567656	+	0.0152103i	−0.287090	−	0.957904i	$-0.592688\pi$
$577$	−1.36356	+	0.365364i	−0.0567656	+	0.0152103i	0.230324	+	0.973114i	$0.426021\pi$
$578$	16.0362	+	14.5604i	0.667018	+	0.605634i
$579$	−37.6894	+	21.7600i	−1.56632	+	0.904315i
$580$	−19.6067	+	11.4266i	−0.814123	+	0.474464i
$581$	−18.3410	+	2.30324i	−0.760914	+	0.0955544i
$582$	17.7374	+	3.84746i	0.735239	+	0.159482i
$583$	11.1076	−	41.4543i	0.460031	−	1.71686i
$584$	1.69846	−	4.26465i	0.0702828	−	0.176472i
$585$	−2.46320	−	0.910657i	−0.101841	−	0.0376510i
$586$	−3.26109	+	6.33490i	−0.134714	+	0.261692i
$587$	24.9675	+	24.9675i	1.03052	+	1.03052i	0.999519	+	0.0310004i	$0.00986931\pi$
$587$	24.9675	+	24.9675i	1.03052	+	1.03052i	0.0310004	+	0.999519i	$0.490131\pi$
$588$	−9.42674	+	20.0675i	−0.388752	+	0.827572i
$589$	21.3819			0.881026
$590$	11.8417	−	37.4928i	0.487516	−	1.54356i
$591$	−31.2834	−	18.0615i	−1.28683	−	0.742951i
$592$	2.94059	−	4.36713i	0.120858	−	0.179488i
$593$	−7.84125	−	2.10106i	−0.322001	−	0.0862800i	0.0941977	−	0.995554i	$-0.469971\pi$
$593$	−7.84125	−	2.10106i	−0.322001	−	0.0862800i	−0.416199	+	0.909273i	$0.636638\pi$
$594$	−14.9080	−	23.1670i	−0.611684	−	0.950552i
$595$	−6.77007	−	3.61974i	−0.277546	−	0.148395i
$596$	3.88010	+	1.76639i	0.158935	+	0.0723543i
$597$	−7.39852	−	1.98243i	−0.302801	−	0.0811353i
$598$	−9.08100	−	8.24529i	−0.371350	−	0.337175i
$599$	−7.24397	+	12.5469i	−0.295981	+	0.512654i	−0.975213	−	0.221270i	$-0.928980\pi$
$599$	−7.24397	+	12.5469i	−0.295981	+	0.512654i	0.679232	+	0.733924i	$0.262313\pi$
$600$	11.9659	−	18.9319i	0.488507	−	0.772894i
$601$	29.4757			1.20234			0.601169	−	0.799122i	$-0.294702\pi$
$601$	29.4757			1.20234			0.601169	+	0.799122i	$0.294702\pi$
$602$	15.7402	+	33.8799i	0.641524	+	1.38084i
$603$	−1.16518	+	1.16518i	−0.0474498	+	0.0474498i
$604$	−31.7737	+	3.07227i	−1.29285	+	0.125009i
$605$	1.31640	+	2.86069i	0.0535192	+	0.116303i
$606$	−4.02058	+	0.193927i	−0.163325	+	0.00787776i
$607$	30.9167	+	8.28409i	1.25487	+	0.336241i	0.824215	−	0.566276i	$-0.191617\pi$
$607$	30.9167	+	8.28409i	1.25487	+	0.336241i	0.430653	+	0.902517i	$0.358283\pi$
$608$	37.9091	−	20.8469i	1.53742	−	0.845455i
$609$	8.25372	−	19.5943i	0.334458	−	0.794000i
$610$	27.5727	+	30.1201i	1.11639	+	1.21953i
$611$	−9.87238	−	17.0995i	−0.399394	−	0.691770i
$612$	0.210240	−	1.25944i	0.00849845	−	0.0509097i
$613$	−28.2818	+	7.57810i	−1.14229	+	0.306076i	−0.779873	−	0.625938i	$-0.784716\pi$
$613$	−28.2818	+	7.57810i	−1.14229	+	0.306076i	−0.362420	+	0.932015i	$0.618049\pi$
$614$	−1.36569	+	2.65295i	−0.0551147	+	0.107064i
$615$	−2.68849	−	15.7112i	−0.108410	−	0.633535i
$616$	25.5139	+	6.62592i	1.02799	+	0.266966i
$617$	27.7291	+	27.7291i	1.11633	+	1.11633i	0.992275	+	0.124055i	$0.0395900\pi$
$617$	27.7291	+	27.7291i	1.11633	+	1.11633i	0.124055	+	0.992275i	$0.460410\pi$
$618$	−0.280631	−	0.876089i	−0.0112886	−	0.0352415i
$619$	12.3075	+	7.10575i	0.494681	+	0.285604i	0.726514	−	0.687151i	$-0.241139\pi$
$619$	12.3075	+	7.10575i	0.494681	+	0.285604i	−0.231833	+	0.972756i	$0.574472\pi$
$620$	−12.5030	+	0.0509049i	−0.502134	+	0.00204439i
$621$	−17.4009	+	10.0464i	−0.698273	+	0.403148i
$622$	−4.32216	+	19.9259i	−0.173303	+	0.798955i
$623$	−14.2567	−	1.96366i	−0.571181	−	0.0786723i
$624$	−9.92987	−	11.4046i	−0.397513	−	0.456549i
$625$	23.3146	+	9.02372i	0.932586	+	0.360949i
$626$	0.412805	+	8.55844i	0.0164990	+	0.342064i
$627$	−41.2104	+	11.0423i	−1.64579	+	0.440987i
$628$	−0.477866	−	0.393602i	−0.0190689	−	0.0157064i
$629$	−1.70799			−0.0681021
$630$	−0.332232	−	4.10286i	−0.0132365	−	0.163462i
$631$		−	24.0239i		−	0.956377i	−0.878257	−	0.478188i	$-0.841294\pi$
$631$		−	24.0239i		−	0.956377i	0.878257	−	0.478188i	$-0.158706\pi$
$632$	−2.42361	+	20.5826i	−0.0964060	+	0.818733i
$633$	3.63026	+	13.5483i	0.144290	+	0.538498i
$634$	1.15760	+	23.9997i	0.0459740	+	0.953152i
$635$	−3.34672	+	2.77953i	−0.132811	+	0.110302i
$636$	−35.1209	−	15.9886i	−1.39264	−	0.633989i
$637$	−8.52731	+	14.3704i	−0.337864	+	0.569374i
$638$	−24.7042	−	5.35865i	−0.978050	−	0.212151i
$639$	−0.642007	−	1.11199i	−0.0253974	−	0.0439896i
$640$	−22.1176	+	12.2805i	−0.874277	+	0.485428i
$641$	−7.36105	+	12.7497i	−0.290744	+	0.503583i	−0.973986	−	0.226609i	$-0.927236\pi$
$641$	−7.36105	+	12.7497i	−0.290744	+	0.503583i	0.683242	+	0.730192i	$0.260569\pi$
$642$	−1.55075	−	4.84122i	−0.0612034	−	0.191068i
$643$	−8.54124	+	8.54124i	−0.336833	+	0.336833i	−0.855174	−	0.518341i	$-0.826550\pi$
$643$	−8.54124	+	8.54124i	−0.336833	+	0.336833i	0.518341	+	0.855174i	$0.326550\pi$
$644$	5.72347	−	18.3540i	0.225536	−	0.723249i
$645$	28.8593	+	20.4257i	1.13633	+	0.804259i
$646$	−12.4787	−	6.42381i	−0.490969	−	0.252741i
$647$	0.451523	+	1.68511i	0.0177512	+	0.0662484i	0.974233	−	0.225543i	$-0.0724155\pi$
$647$	0.451523	+	1.68511i	0.0177512	+	0.0662484i	−0.956482	+	0.291791i	$0.905749\pi$
$648$	−18.9190	+	8.14170i	−0.743210	+	0.319836i
$649$	37.9300	−	21.8989i	1.48888	−	0.859607i
$650$	10.3498	−	13.3343i	0.405951	−	0.523014i
$651$	9.33605	−	7.07558i	0.365909	−	0.277314i
$652$	34.2434	−	12.8187i	1.34108	−	0.502018i
$653$	7.96761	−	29.7355i	0.311797	−	1.16364i	−0.615138	−	0.788419i	$-0.710900\pi$
$653$	7.96761	−	29.7355i	0.311797	−	1.16364i	0.926935	−	0.375222i	$-0.122433\pi$
$654$	0.307497	+	6.37516i	0.0120241	+	0.249288i
$655$	−3.82004	−	8.30139i	−0.149261	−	0.324362i
$656$	−5.84815	+	17.0285i	−0.228332	+	0.664849i
$657$	−0.564611	−	0.564611i	−0.0220276	−	0.0220276i
$658$	17.7871	−	25.3264i	0.693413	−	0.987326i
$659$		−	32.5051i		−	1.26622i	−0.774062	−	0.633110i	$-0.781778\pi$
$659$		−	32.5051i		−	1.26622i	0.774062	−	0.633110i	$-0.218222\pi$
$660$	24.0714	−	6.55507i	0.936979	−	0.255156i
$661$	−30.3385	−	17.5159i	−1.18003	−	0.681290i	−0.224008	−	0.974587i	$-0.571914\pi$
$661$	−30.3385	−	17.5159i	−1.18003	−	0.681290i	−0.956021	+	0.293297i	$0.905248\pi$
$662$	18.7686	−	20.6709i	0.729463	−	0.803398i
$663$	−1.26968	+	4.73852i	−0.0493104	+	0.184029i
$664$	19.5552	−	2.84733i	0.758888	−	0.110498i
$665$	−44.0624	−	10.2796i	−1.70867	−	0.398624i
$666$	−0.495577	−	0.770122i	−0.0192032	−	0.0298416i
$667$	−4.77181	+	17.8086i	−0.184765	+	0.689554i
$668$	5.12414	−	30.6960i	0.198259	−	1.18766i
$669$	0.651539	−	1.12850i	0.0251900	−	0.0436303i
$670$	−4.88593	−	9.39706i	−0.188760	−	0.363040i
$671$			45.4868i			1.75600i
$672$	9.65382	−	21.6471i	0.372404	−	0.835056i
$673$	−18.8090	+	18.8090i	−0.725032	+	0.725032i	−0.969626	−	0.244594i	$-0.921345\pi$
$673$	−18.8090	+	18.8090i	−0.725032	+	0.725032i	0.244594	+	0.969626i	$0.421345\pi$
$674$	−14.6543	+	28.4670i	−0.564461	+	1.09651i
$675$	−15.6301	−	22.8094i	−0.601601	−	0.877934i
$676$	8.48485	+	11.8853i	0.326341	+	0.457126i
$677$	−2.37017	−	0.635085i	−0.0910930	−	0.0244083i	0.212985	−	0.977056i	$-0.431682\pi$
$677$	−2.37017	−	0.635085i	−0.0910930	−	0.0244083i	−0.304078	+	0.952647i	$0.598348\pi$
$678$	4.50258	−	20.7576i	0.172921	−	0.797192i
$679$	2.67154	+	21.2738i	0.102524	+	0.816415i
$680$	7.31220	+	3.72660i	0.280410	+	0.142909i
$681$	−7.71730	−	13.3668i	−0.295727	−	0.512215i
$682$	−10.3113	−	9.36237i	−0.394840	−	0.358504i
$683$	5.78900	+	21.6049i	0.221510	+	0.826687i	0.983773	+	0.179419i	$0.0574218\pi$
$683$	5.78900	+	21.6049i	0.221510	+	0.826687i	−0.762263	+	0.647268i	$0.775912\pi$
$684$	−0.724269	−	7.49046i	−0.0276931	−	0.286405i
$685$	−41.9061	+	7.17096i	−1.60115	+	0.273988i
$686$	−26.0591	−	2.63119i	−0.994941	−	0.100459i
$687$	−11.6844	+	11.6844i	−0.445788	+	0.445788i
$688$	−17.5360	−	35.8812i	−0.668552	−	1.36796i
$689$	−25.1870	−	14.5417i	−0.959550	−	0.553996i
$690$	−3.92952	−	17.7663i	−0.149594	−	0.676351i
$691$	−3.35719	−	5.81482i	−0.127714	−	0.221206i	0.795077	−	0.606509i	$-0.207430\pi$
$691$	−3.35719	−	5.81482i	−0.127714	−	0.221206i	−0.922790	+	0.385302i	$0.874097\pi$
$692$	2.93179	+	7.83189i	0.111450	+	0.297724i
$693$	2.81300	−	3.62097i	0.106857	−	0.137549i
$694$	−2.88661	−	4.48577i	−0.109574	−	0.170278i
$695$	−0.883886	+	9.54680i	−0.0335277	+	0.362131i
$696$	−8.41001	+	21.1166i	−0.318780	+	0.800423i
$697$	5.64192	−	1.51175i	0.213703	−	0.0572616i
$698$	10.6718	+	33.3158i	0.403935	+	1.26102i
$699$			21.2908i			0.805291i
$700$	25.7899	+	5.90606i	0.974766	+	0.223228i
$701$		−	31.2839i		−	1.18158i	−0.806826	−	0.590789i	$-0.798817\pi$
$701$		−	31.2839i		−	1.18158i	0.806826	−	0.590789i	$-0.201183\pi$
$702$	−17.7795	+	5.69518i	−0.671044	+	0.214951i
$703$	−9.72331	+	2.60535i	−0.366722	+	0.0982627i
$704$	−27.4096	−	6.54572i	−1.03304	−	0.246701i
$705$	2.70028	−	29.1656i	0.101699	−	1.09844i
$706$	26.0200	−	16.7440i	0.979275	−	0.630167i
$707$	−1.79343	−	4.40396i	−0.0674488	−	0.165628i
$708$	−13.8064	−	36.8819i	−0.518876	−	1.38611i
$709$	−20.9688	−	36.3190i	−0.787499	−	1.36399i	−0.927495	−	0.373836i	$-0.878042\pi$
$709$	−20.9688	−	36.3190i	−0.787499	−	1.36399i	0.139996	−	0.990152i	$-0.455291\pi$
$710$	8.05828	−	1.78232i	0.302422	−	0.0668893i
$711$	3.12200	+	1.80249i	0.117084	+	0.0675986i
$712$	15.2793	+	1.79915i	0.572618	+	0.0674258i
$713$	−7.18277	+	7.18277i	−0.268997	+	0.268997i
$714$	−7.57435	+	1.32454i	−0.283463	+	0.0495696i
$715$	18.5332	−	3.17140i	0.693103	−	0.118604i
$716$	−40.5748	+	3.92327i	−1.51635	+	0.146619i
$717$	10.7381	+	40.0750i	0.401020	+	1.49663i
$718$	20.4249	−	22.4951i	0.762252	−	0.839511i
$719$	−5.97764	−	10.3536i	−0.222928	−	0.386123i	0.732768	−	0.680479i	$-0.238228\pi$
$719$	−5.97764	−	10.3536i	−0.222928	−	0.386123i	−0.955696	+	0.294356i	$0.904895\pi$
$720$	0.441348	+	4.37831i	0.0164481	+	0.163170i
$721$	0.866111	−	0.656405i	0.0322556	−	0.0244458i
$722$	−54.5787	−	11.8388i	−2.03121	−	0.440594i
$723$	32.3418	+	8.66596i	1.20280	+	0.322290i
$724$	−20.2047	−	28.3020i	−0.750902	−	1.05184i
$725$	−24.9407	−	4.65817i	−0.926274	−	0.173000i
$726$	2.80432	+	1.44361i	0.104078	+	0.0535774i
$727$	−5.77933	+	5.77933i	−0.214344	+	0.214344i	−0.806110	−	0.591766i	$-0.798431\pi$
$727$	−5.77933	+	5.77933i	−0.214344	+	0.214344i	0.591766	+	0.806110i	$0.298431\pi$
$728$	8.81224	−	15.5388i	0.326603	−	0.575908i
$729$			29.8565i			1.10580i
$730$	4.55352	−	2.36757i	0.168534	−	0.0876277i
$731$	−6.47805	+	11.2203i	−0.239599	+	0.414998i
$732$	40.3419	+	6.73434i	1.49108	+	0.248908i
$733$	−10.1564	+	37.9041i	−0.375134	+	1.40002i	0.478015	+	0.878352i	$0.341357\pi$
$733$	−10.1564	+	37.9041i	−0.375134	+	1.40002i	−0.853149	+	0.521668i	$0.825310\pi$
$734$	44.1460	−	28.4081i	1.62946	−	1.04856i
$735$	−22.6408	+	10.0925i	−0.835117	+	0.372267i
$736$	−5.73165	+	19.7378i	−0.211271	+	0.727544i
$737$	3.05354	−	11.3960i	0.112479	−	0.419776i
$738$	2.31865	+	2.10527i	0.0853508	+	0.0774961i
$739$	−16.3667	−	9.44933i	−0.602060	−	0.347599i	0.167792	−	0.985822i	$-0.446336\pi$
$739$	−16.3667	−	9.44933i	−0.602060	−	0.347599i	−0.769851	+	0.638223i	$0.779670\pi$
$740$	5.67948	−	1.54662i	0.208782	−	0.0568550i
$741$			28.9124i			1.06212i
$742$	4.03722	−	45.4071i	0.148211	−	1.66695i
$743$	15.0864	+	15.0864i	0.553466	+	0.553466i	0.927439	−	0.373973i	$-0.122005\pi$
$743$	15.0864	+	15.0864i	0.553466	+	0.553466i	−0.373973	+	0.927439i	$0.622005\pi$
$744$	−9.82999	+	7.75890i	−0.360385	+	0.284455i
$745$	1.99253	+	4.33001i	0.0730007	+	0.158639i
$746$	−5.57975	+	0.269132i	−0.204289	+	0.00985361i
$747$	0.889662	−	3.32026i	0.0325510	−	0.121482i
$748$	3.20504	+	8.56183i	0.117188	+	0.313051i
$749$	4.78609	−	3.62726i	0.174880	−	0.132537i
$750$	23.9596	−	7.27609i	0.874880	−	0.265685i
$751$	−34.8309	+	20.1096i	−1.27100	+	0.733811i	−0.975176	−	0.221432i	$-0.928927\pi$
$751$	−34.8309	+	20.1096i	−1.27100	+	0.733811i	−0.295822	+	0.955243i	$0.595593\pi$
$752$	−18.4791	+	27.4437i	−0.673865	+	1.00077i
$753$	−5.06936	−	18.9191i	−0.184738	−	0.689451i
$754$	−7.84068	+	15.2311i	−0.285541	+	0.554684i
$755$	−29.1315	−	20.6183i	−1.06020	−	0.750377i
$756$	−19.8376	−	21.5124i	−0.721486	−	0.782400i
$757$	−25.8937	+	25.8937i	−0.941123	+	0.941123i	−0.998361	−	0.0572373i	$-0.981771\pi$
$757$	−25.8937	+	25.8937i	−0.941123	+	0.941123i	0.0572373	+	0.998361i	$0.481771\pi$
$758$	25.9122	−	8.30026i	0.941173	−	0.301479i
$759$	10.1343	−	17.5531i	0.367852	−	0.637138i
$760$	47.3117	+	10.0610i	1.71617	+	0.364950i
$761$	11.7952	+	20.4299i	0.427577	+	0.740585i	0.996657	−	0.0816972i	$-0.0260340\pi$
$761$	11.7952	+	20.4299i	0.427577	+	0.740585i	−0.569080	+	0.822282i	$0.692701\pi$
$762$	−0.923693	+	4.25838i	−0.0334619	+	0.154265i
$763$	−6.98307	+	2.84372i	−0.252804	+	0.102949i
$764$	−2.09213	+	4.59563i	−0.0756907	+	0.166264i
$765$	1.09821	−	0.912089i	0.0397059	−	0.0329766i
$766$	52.3682	−	2.52591i	1.89214	−	0.0912648i
$767$	−7.68191	−	28.6693i	−0.277378	−	1.03519i
$768$	−9.86334	+	23.3402i	−0.355912	+	0.842217i
$769$			52.0526i			1.87707i	0.345191	+	0.938533i	$0.387814\pi$
$769$			52.0526i			1.87707i	−0.345191	+	0.938533i	$0.612186\pi$
$770$	16.7478	+	24.2506i	0.603549	+	0.873931i
$771$	11.5724			0.416770
$772$	42.4232	+	34.9425i	1.52684	+	1.25761i
$773$	−11.1923	+	2.99897i	−0.402560	+	0.107866i	−0.454417	−	0.890789i	$-0.650152\pi$
$773$	−11.1923	+	2.99897i	−0.402560	+	0.107866i	0.0518576	+	0.998654i	$0.483486\pi$
$774$	−6.93879	+	0.334683i	−0.249410	+	0.0120299i
$775$	−10.6171	−	9.09328i	−0.381377	−	0.326640i
$776$	−3.30263	−	22.6821i	−0.118558	−	0.814241i
$777$	−3.38337	+	4.35516i	−0.121378	+	0.156241i
$778$	42.4946	+	9.21759i	1.52350	+	0.330467i
$779$	29.8125	−	17.2123i	1.06814	−	0.616694i
$780$	−0.0688330	−	16.9065i	−0.00246462	−	0.605349i
$781$	7.96159	+	4.59663i	0.284888	+	0.164480i
$782$	6.34988	−	2.03401i	0.227071	−	0.0727361i
$783$	19.8430	+	19.8430i	0.709130	+	0.709130i
$784$	27.9083	+	2.26453i	0.996724	+	0.0808760i
$785$	−0.116747	−	0.682252i	−0.00416687	−	0.0243506i
$786$	−8.13781	−	4.18919i	−0.290266	−	0.149424i
$787$	18.2274	−	4.88402i	0.649737	−	0.174097i	0.0811272	−	0.996704i	$-0.474148\pi$
$787$	18.2274	−	4.88402i	0.649737	−	0.174097i	0.568610	+	0.822607i	$0.307481\pi$
$788$	−7.51139	+	44.9967i	−0.267582	+	1.60294i
$789$	−0.556403	−	0.963718i	−0.0198085	−	0.0343093i
$790$	−17.0912	+	15.6457i	−0.608078	+	0.556651i
$791$	24.8962	−	3.12643i	0.885208	−	0.111163i
$792$	−2.93053	+	3.92936i	−0.104132	+	0.139624i
$793$	29.7749	+	7.97816i	1.05734	+	0.283313i
$794$	0.373794	+	7.74964i	0.0132654	+	0.275025i
$795$	−18.0355	−	39.1933i	−0.639653	−	1.39004i
$796$	0.930974	+	9.62821i	0.0329975	+	0.341263i
$797$	21.9699	−	21.9699i	0.778215	−	0.778215i	−0.201312	−	0.979527i	$-0.564521\pi$
$797$	21.9699	−	21.9699i	0.778215	−	0.778215i	0.979527	+	0.201312i	$0.0645206\pi$
$798$	−41.0991	+	19.0942i	−1.45489	+	0.675928i
$799$	10.7333			0.379716
$800$	−27.6894	−	5.77049i	−0.978967	−	0.204018i
$801$	1.33806	−	2.31759i	0.0472781	−	0.0818881i
$802$	−12.8673	+	14.1715i	−0.454361	+	0.500414i
$803$	5.52214	+	1.47965i	0.194872	+	0.0522158i
$804$	−9.65491	−	4.39534i	−0.340503	−	0.155012i
$805$	18.2550	−	11.3486i	0.643403	−	0.399985i
$806$	−7.93700	+	5.10749i	−0.279569	+	0.179904i
$807$	−41.5003	−	11.1200i	−1.46088	−	0.391441i
$808$	2.00946	+	4.66942i	0.0706925	+	0.164270i
$809$	−35.4170	−	20.4480i	−1.24519	−	0.718913i	−0.275047	−	0.961431i	$-0.588693\pi$
$809$	−35.4170	−	20.4480i	−1.24519	−	0.718913i	−0.970147	+	0.242518i	$0.922027\pi$
$810$	−21.9584	−	6.93534i	−0.771541	−	0.243683i
$811$	5.00467			0.175738			0.0878689	−	0.996132i	$-0.471994\pi$
$811$	5.00467			0.175738			0.0878689	+	0.996132i	$0.471994\pi$
$812$	−26.8292	−	1.08670i	−0.941519	−	0.0381356i
$813$	−10.9909	−	10.9909i	−0.385469	−	0.385469i
$814$	5.82980	+	3.00107i	0.204334	+	0.105187i
$815$	38.3433	+	14.1757i	1.34311	+	0.496554i
$816$	8.06792	−	1.57494i	0.282434	−	0.0551338i
$817$	−19.7631	+	73.7570i	−0.691424	+	2.58043i
$818$	7.82347	−	36.0674i	0.273541	−	1.26107i
$819$	−1.87684	−	2.47644i	−0.0655820	−	0.0865339i
$820$	−17.3918	+	10.1358i	−0.607350	+	0.353958i
$821$	−15.0739	+	8.70295i	−0.526084	+	0.303735i	−0.739420	−	0.673244i	$-0.764900\pi$
$821$	−15.0739	+	8.70295i	−0.526084	+	0.303735i	0.213336	+	0.976979i	$0.431567\pi$
$822$	−28.6253	+	31.5267i	−0.998422	+	1.09962i
$823$	−15.5418	+	4.16440i	−0.541751	+	0.145162i	−0.519309	−	0.854586i	$-0.673811\pi$
$823$	−15.5418	+	4.16440i	−0.541751	+	0.145162i	−0.0224420	+	0.999748i	$0.507144\pi$
$824$	−0.911934	+	0.719797i	−0.0317687	+	0.0250753i
$825$	25.1589	+	12.0429i	0.875921	+	0.419281i
$826$	35.6803	−	29.8535i	1.24147	−	1.03874i
$827$	31.7551	+	31.7551i	1.10423	+	1.10423i	0.993894	+	0.110339i	$0.0351937\pi$
$827$	31.7551	+	31.7551i	1.10423	+	1.10423i	0.110339	+	0.993894i	$0.464806\pi$
$828$	2.75955	+	2.27295i	0.0959011	+	0.0789904i
$829$	17.4297	−	30.1891i	0.605359	−	1.04851i	−0.386636	−	0.922232i	$-0.626363\pi$
$829$	17.4297	−	30.1891i	0.605359	−	1.04851i	0.991995	−	0.126280i	$-0.0403037\pi$
$830$	18.6280	+	11.8802i	0.646586	+	0.412368i
$831$	−13.8080	+	7.97207i	−0.478996	+	0.276548i
$832$	−9.09222	+	16.7938i	−0.315216	+	0.582219i
$833$	−4.44745	−	7.92030i	−0.154095	−	0.274422i
$834$	5.19658	+	8.07544i	0.179943	+	0.279630i
$835$	26.7665	−	22.2301i	0.926292	−	0.769306i
$836$	31.3059	+	43.8521i	1.08274	+	1.51666i
$837$	4.00164	+	14.9343i	0.138317	+	0.516206i
$838$	−17.3532	+	5.55863i	−0.599456	+	0.192020i
$839$	−3.57010			−0.123253			−0.0616267	−	0.998099i	$-0.519629\pi$
$839$	−3.57010			−0.123253			−0.0616267	+	0.998099i	$0.519629\pi$
$840$	23.9872	−	11.2632i	0.827636	−	0.388616i
$841$	−3.25053			−0.112087
$842$	31.9590	−	10.2372i	1.10138	−	0.352797i
$843$	7.59137	+	28.3314i	0.261461	+	0.975785i
$844$	14.4168	−	10.2921i	0.496247	−	0.354269i
$845$	−1.50517	+	16.2573i	−0.0517796	+	0.559269i
$846$	3.11428	+	4.83957i	0.107071	+	0.166388i
$847$	−0.508404	+	3.69114i	−0.0174690	+	0.126829i
$848$	−3.36064	+	48.6177i	−0.115405	+	1.66954i
$849$	−7.63964	+	4.41075i	−0.262192	+	0.151376i
$850$	3.46434	+	8.49666i	0.118826	+	0.291433i
$851$	2.39112	−	4.14154i	0.0819664	−	0.141970i
$852$	5.25543	−	6.38053i	0.180048	−	0.218593i
$853$	14.3301	+	14.3301i	0.490652	+	0.490652i	0.908512	−	0.417859i	$-0.137220\pi$
$853$	14.3301	+	14.3301i	0.490652	+	0.490652i	−0.417859	+	0.908512i	$0.637220\pi$
$854$	8.32284	+	47.5941i	0.284802	+	1.62863i
$855$	4.86064	−	6.86757i	0.166230	−	0.234866i
$856$	−5.03930	+	3.97757i	−0.172240	+	0.135950i
$857$	−24.0719	+	6.45005i	−0.822281	+	0.220330i	−0.645343	−	0.763893i	$-0.723286\pi$
$857$	−24.0719	+	6.45005i	−0.822281	+	0.220330i	−0.176938	+	0.984222i	$0.556619\pi$
$858$	12.6597	−	13.9428i	0.432195	−	0.476001i
$859$	−33.7707	+	19.4975i	−1.15224	+	0.665246i	−0.949432	−	0.313972i	$-0.898340\pi$
$859$	−33.7707	+	19.4975i	−1.15224	+	0.665246i	−0.202808	+	0.979218i	$0.565007\pi$
$860$	11.3809	−	43.1763i	0.388084	−	1.47230i
$861$	7.32136	−	17.3808i	0.249511	−	0.592337i
$862$	0.492799	−	2.27188i	0.0167848	−	0.0773807i
$863$	3.76378	−	14.0466i	0.128121	−	0.478152i	−0.871811	−	0.489842i	$-0.837054\pi$
$863$	3.76378	−	14.0466i	0.128121	−	0.478152i	0.999932	+	0.0116897i	$0.00372105\pi$
$864$	21.6554	+	22.5763i	0.736731	+	0.768062i
$865$	−3.24216	+	8.76959i	−0.110237	+	0.298175i
$866$	4.27329	+	2.19981i	0.145212	+	0.0747525i
$867$	17.1513	+	17.1513i	0.582490	+	0.582490i
$868$	−12.5020	−	7.90941i	−0.424347	−	0.268463i
$869$	−25.8108			−0.875573
$870$	−22.5470	+	11.7231i	−0.764415	+	0.397452i
$871$	−6.92404	−	3.99759i	−0.234612	−	0.135453i
$872$	7.40399	−	3.18626i	0.250731	−	0.107900i
$873$	−3.85119	−	1.03192i	−0.130343	−	0.0349253i
$874$	33.0461	−	21.2653i	1.11780	−	0.719311i
$875$	17.5073	+	23.8431i	0.591855	+	0.806044i
$876$	2.12985	−	4.67847i	0.0719608	−	0.158071i
$877$	−19.8616	−	5.32190i	−0.670678	−	0.179708i	−0.0926180	−	0.995702i	$-0.529524\pi$
$877$	−19.8616	−	5.32190i	−0.670678	−	0.179708i	−0.578060	+	0.815994i	$0.696190\pi$
$878$	−6.00816	+	6.61712i	−0.202766	+	0.223317i
$879$	−3.98937	+	6.90979i	−0.134558	+	0.233062i
$880$	−18.4104	−	25.5679i	−0.620616	−	0.861895i
$881$	−19.0415			−0.641523			−0.320761	−	0.947160i	$-0.603939\pi$
$881$	−19.0415			−0.641523			−0.320761	+	0.947160i	$0.603939\pi$
$882$	2.28078	−	4.30342i	0.0767978	−	0.144904i
$883$	−2.84748	+	2.84748i	−0.0958254	+	0.0958254i	−0.753394	−	0.657569i	$-0.771585\pi$
$883$	−2.84748	+	2.84748i	−0.0958254	+	0.0958254i	0.657569	+	0.753394i	$0.271585\pi$
$884$	6.16657	−	0.596260i	0.207404	−	0.0200544i
$885$	15.2680	−	41.2977i	0.513228	−	1.38821i
$886$	1.93514	+	40.1200i	0.0650122	+	1.34786i
$887$	−47.8070	−	12.8098i	−1.60520	−	0.430112i	−0.658593	−	0.752499i	$-0.728848\pi$
$887$	−47.8070	−	12.8098i	−1.60520	−	0.430112i	−0.946608	+	0.322387i	$0.895515\pi$
$888$	3.52473	−	4.72609i	0.118282	−	0.158597i
$889$	−5.10740	+	0.641379i	−0.171297	+	0.0215112i
$890$	11.6145	+	12.6875i	0.389319	+	0.425286i
$891$	−12.8255	−	22.2145i	−0.429671	−	0.744212i
$892$	−1.62318	−	0.270961i	−0.0543482	−	0.00907245i
$893$	61.1028	−	16.3724i	2.04473	−	0.547883i
$894$	4.24469	+	2.18508i	0.141964	+	0.0730802i
$895$	−37.2007	−	26.3294i	−1.24348	−	0.880096i
$896$	−29.8770	−	1.83376i	−0.998122	−	0.0612616i
$897$	−9.71247	−	9.71247i	−0.324290	−	0.324290i
$898$	−4.78032	+	1.53125i	−0.159522	+	0.0510984i
$899$	12.2862	+	7.09346i	0.409769	+	0.236580i
$900$	−2.82590	+	4.02737i	−0.0941967	+	0.134246i
$901$	13.6917	−	7.90492i	0.456137	−	0.263351i
$902$	−21.9136	−	4.75332i	−0.729642	−	0.158268i
$903$	15.7780	+	38.7446i	0.525059	+	1.28934i
$904$	−26.5443	+	3.86499i	−0.882851	+	0.128548i
$905$	3.58422	−	38.7130i	0.119144	−	1.28686i
$906$	−35.7053	+	1.72220i	−1.18623	+	0.0572163i
$907$	−8.09467	+	2.16896i	−0.268779	+	0.0720191i	−0.390691	−	0.920522i	$-0.627764\pi$
$907$	−8.09467	+	2.16896i	−0.268779	+	0.0720191i	0.121912	+	0.992541i	$0.461097\pi$
$908$	−12.3925	+	15.0456i	−0.411261	+	0.499306i
$909$	0.884240			0.0293284
$910$	18.8115	−	6.70939i	0.623596	−	0.222414i
$911$			35.9285i			1.19036i	0.803591	+	0.595182i	$0.202920\pi$
$911$			35.9285i			1.19036i	−0.803591	+	0.595182i	$0.797080\pi$
$912$	43.5269	−	21.2726i	1.44132	−	0.704405i
$913$	6.36978	+	23.7723i	0.210809	+	0.786750i
$914$	3.52921	−	0.170227i	0.116736	−	0.00563060i
$915$	29.2157	+	35.1776i	0.965843	+	1.16293i
$916$	18.9928	+	8.64635i	0.627540	+	0.285684i
$917$	1.47533	−	10.7113i	0.0487197	−	0.353718i
$918$	2.15135	−	9.91805i	0.0710050	−	0.327345i
$919$	6.88039	+	11.9172i	0.226963	+	0.393112i	0.956907	−	0.290396i	$-0.0937870\pi$
$919$	6.88039	+	11.9172i	0.226963	+	0.393112i	−0.729943	+	0.683508i	$0.760454\pi$
$920$	−19.2730	+	12.5135i	−0.635414	+	0.412559i
$921$	−1.67068	+	2.89371i	−0.0550508	+	0.0953509i
$922$	−31.9172	+	10.2238i	−1.05114	+	0.336703i
$923$	4.40530	−	4.40530i	0.145002	−	0.145002i
$924$	28.1805	+	8.78774i	0.927069	+	0.289095i
$925$	5.93607	+	2.84144i	0.195177	+	0.0934261i
$926$	−12.3381	+	23.9676i	−0.405455	+	0.787626i
$927$	0.0523036	+	0.195200i	0.00171788	+	0.00641120i
$928$	28.6989	+	0.597533i	0.942087	+	0.0196150i
$929$	11.8867	−	6.86276i	0.389989	−	0.225160i	−0.292167	−	0.956367i	$-0.594376\pi$
$929$	11.8867	−	6.86276i	0.389989	−	0.225160i	0.682155	+	0.731207i	$0.261043\pi$
$930$	−13.9877	−	0.617607i	−0.458674	−	0.0202521i
$931$	−37.4001	−	38.3049i	−1.22574	−	1.25539i
$932$	25.1814	−	9.42641i	0.824844	−	0.308772i
$933$	−5.90945	+	22.0544i	−0.193467	+	0.722028i
$934$	−3.56008	+	0.171716i	−0.116489	+	0.00561871i
$935$	−3.54434	+	9.58692i	−0.115912	+	0.313526i
$936$	2.05809	+	2.60746i	0.0672709	+	0.0852276i
$937$	−28.0706	−	28.0706i	−0.917028	−	0.917028i	0.0797841	−	0.996812i	$-0.474577\pi$
$937$	−28.0706	−	28.0706i	−0.917028	−	0.917028i	−0.996812	+	0.0797841i	$0.974577\pi$
$938$	1.10985	−	12.4826i	0.0362379	−	0.407572i
$939$			9.59508i			0.313124i
$940$	−35.6908	+	9.71923i	−1.16410	+	0.317006i
$941$	−5.44393	−	3.14306i	−0.177467	−	0.102461i	0.408635	−	0.912698i	$-0.366005\pi$
$941$	−5.44393	−	3.14306i	−0.177467	−	0.102461i	−0.586102	+	0.810237i	$0.699338\pi$
$942$	−0.513269	−	0.466034i	−0.0167232	−	0.0151842i
$943$	−4.23277	+	15.7969i	−0.137838	+	0.514419i
$944$	−37.5089	+	32.6586i	−1.22081	+	1.06295i
$945$	−1.06649	−	32.6995i	−0.0346928	−	1.06371i
$946$	41.8262	−	26.9153i	1.35989	−	0.875092i
$947$	0.190664	−	0.711568i	0.00619575	−	0.0231229i	−0.962759	−	0.270362i	$-0.912857\pi$
$947$	0.190664	−	0.711568i	0.00619575	−	0.0231229i	0.968955	+	0.247239i	$0.0795233\pi$
$948$	−3.82131	+	22.8914i	−0.124110	+	0.743478i
$949$	1.93711	−	3.35518i	0.0628813	−	0.108914i
$950$	32.6826	+	43.0856i	1.06037	+	1.39788i
$951$			26.9067i			0.872510i
$952$	4.92009	+	8.37203i	0.159461	+	0.271339i
$953$	−2.24676	+	2.24676i	−0.0727798	+	0.0727798i	−0.742560	−	0.669780i	$-0.766388\pi$
$953$	−2.24676	+	2.24676i	−0.0727798	+	0.0727798i	0.669780	+	0.742560i	$0.266388\pi$
$954$	7.53695	+	3.87988i	0.244018	+	0.125616i
$955$	−5.12851	+	2.35998i	−0.165955	+	0.0763670i
$956$	42.6439	−	30.4433i	1.37920	−	0.984608i
$957$	−27.3432	−	7.32658i	−0.883879	−	0.236835i
$958$	−25.3028	−	5.48849i	−0.817497	−	0.177325i
$959$	−46.3597	−	19.5281i	−1.49703	−	0.630597i
$960$	−25.4016	+	12.5427i	−0.819834	+	0.404815i
$961$	−11.5918	−	20.0776i	−0.373929	−	0.647663i
$962$	2.98697	−	3.28972i	0.0963037	−	0.106065i
$963$	0.289027	+	1.07866i	0.00931377	+	0.0347595i
$964$	−4.06965	−	42.0886i	−0.131075	−	1.35558i
$965$	10.3644	+	60.5679i	0.333640	+	1.94975i
$966$	7.39204	−	20.2206i	0.237835	−	0.650587i
$967$	19.3131	−	19.3131i	0.621067	−	0.621067i	−0.324738	−	0.945804i	$-0.605276\pi$
$967$	19.3131	−	19.3131i	0.621067	−	0.621067i	0.945804	+	0.324738i	$0.105276\pi$
$968$	0.465810	−	3.95592i	0.0149717	−	0.127148i
$969$	−13.6112	−	7.85841i	−0.437254	−	0.252449i
$970$	13.7799	−	21.6067i	0.442446	−	0.693748i
$971$	1.81116	+	3.13703i	0.0581230	+	0.100672i	0.893623	−	0.448819i	$-0.148155\pi$
$971$	1.81116	+	3.13703i	0.0581230	+	0.100672i	−0.835500	+	0.549491i	$0.814822\pi$
$972$	9.47440	−	3.54665i	0.303892	−	0.113759i
$973$	−6.95959	+	8.95857i	−0.223114	+	0.287198i
$974$	−33.7674	+	21.7294i	−1.08198	+	0.696256i
$975$	12.2958	−	14.3563i	0.393782	−	0.459771i
$976$	−9.89623	−	50.6954i	−0.316771	−	1.62272i
$977$	−2.41951	+	0.648307i	−0.0774071	+	0.0207412i	−0.297315	−	0.954780i	$-0.596091\pi$
$977$	−2.41951	+	0.648307i	−0.0774071	+	0.0207412i	0.219908	+	0.975521i	$0.429424\pi$
$978$	38.9936	−	12.4905i	1.24688	−	0.399404i
$979$			19.1605i			0.612371i
$980$	21.9609	+	22.3097i	0.701514	+	0.712656i
$981$		−	1.40208i		−	0.0447649i
$982$	−4.91634	−	15.3481i	−0.156887	−	0.489777i
$983$	−1.73382	+	0.464575i	−0.0553002	+	0.0148176i	−0.286363	−	0.958121i	$-0.592446\pi$
$983$	−1.73382	+	0.464575i	−0.0553002	+	0.0148176i	0.231063	+	0.972939i	$0.425780\pi$
$984$	−7.45998	+	18.7312i	−0.237816	+	0.597129i
$985$	−39.2365	+	32.5868i	−1.25018	+	1.03830i
$986$	−5.03928	−	7.83100i	−0.160483	−	0.249390i
$987$	21.2616	−	27.3685i	0.676765	−	0.871150i
$988$	34.1958	−	12.8008i	1.08791	−	0.407249i
$989$	−18.1380	−	31.4160i	−0.576755	−	0.998969i
$990$	−5.35108	+	1.18355i	−0.170068	+	0.0376155i
$991$	4.15586	+	2.39939i	0.132015	+	0.0762190i	0.564553	−	0.825397i	$-0.309049\pi$
$991$	4.15586	+	2.39939i	0.132015	+	0.0762190i	−0.432538	+	0.901616i	$0.642382\pi$
$992$	13.5289	+	8.19108i	0.429544	+	0.260067i
$993$	22.1083	−	22.1083i	0.701587	−	0.701587i
$994$	9.17148	+	3.35282i	0.290902	+	0.106345i
$995$	−6.24786	+	8.82755i	−0.198070	+	0.279852i
$996$	22.0265	−	2.12980i	0.697937	−	0.0674852i
$997$	−6.68943	−	24.9653i	−0.211856	−	0.790659i	−0.987250	−	0.159180i	$-0.949115\pi$
$997$	−6.68943	−	24.9653i	−0.211856	−	0.790659i	0.775393	−	0.631479i	$-0.217552\pi$
$998$	−28.3737	−	25.7625i	−0.898155	−	0.815499i
$999$	−3.63945	−	6.30371i	−0.115147	−	0.199440i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.br.a.67.17	✓	176
5.3	odd	4	inner	280.2.br.a.123.5	yes	176
7.2	even	3	inner	280.2.br.a.107.13	yes	176
8.3	odd	2	inner	280.2.br.a.67.34	yes	176
35.23	odd	12	inner	280.2.br.a.163.34	yes	176
40.3	even	4	inner	280.2.br.a.123.13	yes	176
56.51	odd	6	inner	280.2.br.a.107.5	yes	176
280.163	even	12	inner	280.2.br.a.163.17	yes	176

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.br.a.67.17	✓	176	1.1	even	1	trivial
280.2.br.a.67.34	yes	176	8.3	odd	2	inner
280.2.br.a.107.5	yes	176	56.51	odd	6	inner
280.2.br.a.107.13	yes	176	7.2	even	3	inner
280.2.br.a.123.5	yes	176	5.3	odd	4	inner
280.2.br.a.123.13	yes	176	40.3	even	4	inner
280.2.br.a.163.17	yes	176	280.163	even	12	inner
280.2.br.a.163.34	yes	176	35.23	odd	12	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)

\(f(q)\)	\(=\)	\(q+(-0.431412 - 1.34680i) q^{2} +(-0.409884 - 1.52971i) q^{3} +(-1.62777 + 1.16206i) q^{4} +(-2.22655 - 0.206144i) q^{5} +(-1.88339 + 1.21197i) q^{6} +(-2.08935 - 1.62314i) q^{7} +(2.26730 + 1.69096i) q^{8} +(0.426076 - 0.245995i) q^{9} +O(q^{10})\)	\(q+(-0.431412 - 1.34680i) q^{2} +(-0.409884 - 1.52971i) q^{3} +(-1.62777 + 1.16206i) q^{4} +(-2.22655 - 0.206144i) q^{5} +(-1.88339 + 1.21197i) q^{6} +(-2.08935 - 1.62314i) q^{7} +(2.26730 + 1.69096i) q^{8} +(0.426076 - 0.245995i) q^{9} +(0.682924 + 3.08766i) q^{10} +(-1.76127 + 3.05061i) q^{11} +(2.44480 + 2.01370i) q^{12} +(1.68796 + 1.68796i) q^{13} +(-1.28469 + 3.51420i) q^{14} +(0.597286 + 3.49046i) q^{15} +(1.29925 - 3.78311i) q^{16} +(-1.25343 + 0.335857i) q^{17} +(-0.515122 - 0.467716i) q^{18} +(-6.62328 + 3.82395i) q^{19} +(3.86385 - 2.25182i) q^{20} +(-1.62654 + 3.86140i) q^{21} +(4.86841 + 1.05602i) q^{22} +(0.940371 - 3.50951i) q^{23} +(1.65734 - 4.16141i) q^{24} +(4.91501 + 0.917976i) q^{25} +(1.54515 - 3.00156i) q^{26} +(-3.91041 - 3.91041i) q^{27} +(5.28717 + 0.214153i) q^{28} -5.07439 q^{29} +(4.44329 - 2.31025i) q^{30} +(-2.42122 - 1.39789i) q^{31} +(-5.65563 - 0.117754i) q^{32} +(5.38846 + 1.44383i) q^{33} +(0.993080 + 1.54324i) q^{34} +(4.31744 + 4.04471i) q^{35} +(-0.407692 + 0.895547i) q^{36} +(1.27137 + 0.340662i) q^{37} +(8.00748 + 7.27057i) q^{38} +(1.89022 - 3.27395i) q^{39} +(-4.69967 - 4.23239i) q^{40} -4.50117 q^{41} +(5.90227 + 0.524781i) q^{42} +(7.05995 - 7.05995i) q^{43} +(-0.678043 - 7.01238i) q^{44} +(-0.999388 + 0.459887i) q^{45} +(-5.13232 + 0.247551i) q^{46} +(-7.98948 - 2.14078i) q^{47} +(-6.31960 - 0.436835i) q^{48} +(1.73080 + 6.78265i) q^{49} +(-0.884061 - 7.01559i) q^{50} +(1.02752 + 1.77973i) q^{51} +(-4.70911 - 0.786100i) q^{52} +(-11.7683 + 3.15330i) q^{53} +(-3.57956 + 6.95356i) q^{54} +(4.55041 - 6.42925i) q^{55} +(-1.99253 - 7.21317i) q^{56} +(8.56430 + 8.56430i) q^{57} +(2.18916 + 6.83422i) q^{58} +(-10.7678 - 6.21679i) q^{59} +(-5.02835 - 4.98757i) q^{60} +(11.1830 - 6.45654i) q^{61} +(-0.838145 + 3.86398i) q^{62} +(-1.28951 - 0.177612i) q^{63} +(2.28132 + 7.66783i) q^{64} +(-3.41036 - 4.10628i) q^{65} +(-0.380086 - 7.88009i) q^{66} +(-3.23516 + 0.866858i) q^{67} +(1.65001 - 2.00326i) q^{68} -5.75397 q^{69} +(3.58484 - 7.55969i) q^{70} -2.60984i q^{71} +(1.38201 + 0.162732i) q^{72} +(-0.420053 - 1.56766i) q^{73} +(-0.0896786 - 1.85925i) q^{74} +(-0.610349 - 7.89479i) q^{75} +(6.33751 - 13.9211i) q^{76} +(8.63150 - 3.51501i) q^{77} +(-5.22484 - 1.13333i) q^{78} +(3.66367 + 6.34566i) q^{79} +(-3.67270 + 8.15544i) q^{80} +(-3.64099 + 6.30638i) q^{81} +(1.94186 + 6.06220i) q^{82} +(4.94034 - 4.94034i) q^{83} +(-1.83953 - 8.17560i) q^{84} +(2.86006 - 0.489413i) q^{85} +(-12.5541 - 6.46263i) q^{86} +(2.07991 + 7.76234i) q^{87} +(-9.15179 + 3.93842i) q^{88} +(4.71065 - 2.71969i) q^{89} +(1.05053 + 1.14758i) q^{90} +(-0.786943 - 6.26655i) q^{91} +(2.54755 + 6.80543i) q^{92} +(-1.14595 + 4.27674i) q^{93} +(0.563554 + 11.6838i) q^{94} +(15.5353 - 7.14886i) q^{95} +(2.13802 + 8.69972i) q^{96} +(-5.73033 - 5.73033i) q^{97} +(8.38821 - 5.25717i) q^{98} +1.73306i 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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