LMFDB - Embedded newform 260.2.bj.c.243.32

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [260,2,Mod(3,260)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(260, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 9, 4]))

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

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

chi := DirichletCharacter("260.3");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 260 = 2^{2} \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	260.bj (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:	$2.07611045255$
Analytic rank:	$0$
Dimension:	$144$
Relative dimension:	$36$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			243.32
Character	$\chi$	$=$	260.243
Dual form			260.2.bj.c.107.32

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.31345 + 0.524261i) q^{2} +(0.689155 + 2.57196i) q^{3} +(1.45030 + 1.37718i) q^{4} +(0.222626 - 2.22496i) q^{5} +(-0.443209 + 3.73944i) q^{6} +(0.280044 - 1.04514i) q^{7} +(1.18289 + 2.56919i) q^{8} +(-3.54197 + 2.04496i) q^{9} +O(q^{10})$	\(q+(1.31345 + 0.524261i) q^{2} +(0.689155 + 2.57196i) q^{3} +(1.45030 + 1.37718i) q^{4} +(0.222626 - 2.22496i) q^{5} +(-0.443209 + 3.73944i) q^{6} +(0.280044 - 1.04514i) q^{7} +(1.18289 + 2.56919i) q^{8} +(-3.54197 + 2.04496i) q^{9} +(1.45887 - 2.80566i) q^{10} +(0.213488 + 0.123257i) q^{11} +(-2.54257 + 4.67921i) q^{12} +(-1.52422 - 3.26753i) q^{13} +(0.915750 - 1.22592i) q^{14} +(5.87593 - 0.960754i) q^{15} +(0.206743 + 3.99465i) q^{16} +(-5.82248 - 1.56013i) q^{17} +(-5.72429 + 0.829032i) q^{18} +(-1.97509 - 3.42095i) q^{19} +(3.38705 - 2.92026i) q^{20} +2.88105 q^{21} +(0.215786 + 0.273815i) q^{22} +(0.742260 + 2.77015i) q^{23} +(-5.79267 + 4.81293i) q^{24} +(-4.90088 - 0.990668i) q^{25} +(-0.288951 - 5.09083i) q^{26} +(-2.05210 - 2.05210i) q^{27} +(1.84549 - 1.13009i) q^{28} +(3.76557 + 2.17405i) q^{29} +(8.22142 + 1.81862i) q^{30} -0.881426i q^{31} +(-1.82270 + 5.35516i) q^{32} +(-0.169886 + 0.634025i) q^{33} +(-6.82962 - 5.10165i) q^{34} +(-2.26304 - 0.855762i) q^{35} +(-7.95320 - 1.91213i) q^{36} +(1.32673 + 4.95144i) q^{37} +(-0.800705 - 5.52871i) q^{38} +(7.35353 - 6.17207i) q^{39} +(5.97969 - 2.05992i) q^{40} +(5.89948 - 10.2182i) q^{41} +(3.78411 + 1.51042i) q^{42} +(-1.93174 - 0.517607i) q^{43} +(0.139874 + 0.472771i) q^{44} +(3.76141 + 8.33600i) q^{45} +(-0.477362 + 4.02759i) q^{46} +(6.04265 + 6.04265i) q^{47} +(-10.1316 + 3.28467i) q^{48} +(5.04829 + 2.91463i) q^{49} +(-5.91768 - 3.87053i) q^{50} -16.0504i q^{51} +(2.28940 - 6.83803i) q^{52} +(-0.436944 - 0.436944i) q^{53} +(-1.61949 - 3.77117i) q^{54} +(0.321770 - 0.447560i) q^{55} +(3.01643 - 0.516801i) q^{56} +(7.43741 - 7.43741i) q^{57} +(3.80612 + 4.82965i) q^{58} +(5.04198 + 8.73296i) q^{59} +(9.84499 + 6.69884i) q^{60} +(-2.71591 - 4.70409i) q^{61} +(0.462098 - 1.15771i) q^{62} +(1.14536 + 4.27453i) q^{63} +(-5.20152 + 6.07817i) q^{64} +(-7.60945 + 2.66389i) q^{65} +(-0.555532 + 0.743695i) q^{66} +(-12.5731 + 3.36894i) q^{67} +(-6.29577 - 10.2813i) q^{68} +(-6.61319 + 3.81813i) q^{69} +(-2.52375 - 2.31043i) q^{70} +(8.10650 - 4.68029i) q^{71} +(-9.44367 - 6.68105i) q^{72} +(-3.41850 - 3.41850i) q^{73} +(-0.853249 + 7.19902i) q^{74} +(-0.829502 - 13.2876i) q^{75} +(1.84680 - 7.68146i) q^{76} +(0.188607 - 0.188607i) q^{77} +(12.8943 - 4.25154i) q^{78} -15.3665 q^{79} +(8.93396 + 0.429321i) q^{80} +(-2.27117 + 3.93378i) q^{81} +(13.1057 - 10.3282i) q^{82} +(-10.8773 + 10.8773i) q^{83} +(4.17839 + 3.96773i) q^{84} +(-4.76746 + 12.6075i) q^{85} +(-2.26588 - 1.69259i) q^{86} +(-2.99652 + 11.1832i) q^{87} +(-0.0641383 + 0.694291i) q^{88} +(-1.31983 - 0.762004i) q^{89} +(0.570182 + 12.9209i) q^{90} +(-3.84187 + 0.677972i) q^{91} +(-2.73850 + 5.03978i) q^{92} +(2.26699 - 0.607439i) q^{93} +(4.76879 + 11.1046i) q^{94} +(-8.05118 + 3.63289i) q^{95} +(-15.0294 - 0.997365i) q^{96} +(12.4865 + 3.34576i) q^{97} +(5.10264 + 6.47484i) q^{98} -1.00822 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 144 q - 6 q^{2} - 24 q^{5} - 4 q^{6} - 24 q^{8}+O(q^{10}) $ 144 * q - 6 * q^2 - 24 * q^5 - 4 * q^6 - 24 * q^8	$ 144 q - 6 q^{2} - 24 q^{5} - 4 q^{6} - 24 q^{8} - 16 q^{10} + 20 q^{12} - 12 q^{13} - 28 q^{16} - 4 q^{18} + 30 q^{20} - 32 q^{21} - 28 q^{22} - 24 q^{25} - 12 q^{26} + 14 q^{28} - 4 q^{30} + 4 q^{32} - 28 q^{33} + 4 q^{36} + 20 q^{40} + 24 q^{41} - 56 q^{42} - 4 q^{46} + 12 q^{48} + 20 q^{50} - 2 q^{52} + 24 q^{53} - 20 q^{56} - 24 q^{57} - 42 q^{58} + 88 q^{60} - 32 q^{61} - 128 q^{66} - 32 q^{68} + 108 q^{70} + 2 q^{72} - 8 q^{73} + 60 q^{76} - 72 q^{77} - 120 q^{78} - 64 q^{80} - 32 q^{81} - 42 q^{82} - 48 q^{85} - 24 q^{86} - 42 q^{88} - 56 q^{90} - 84 q^{92} + 8 q^{93} + 160 q^{96} + 68 q^{97} + 98 q^{98}+O(q^{100}) $ 144 * q - 6 * q^2 - 24 * q^5 - 4 * q^6 - 24 * q^8 - 16 * q^10 + 20 * q^12 - 12 * q^13 - 28 * q^16 - 4 * q^18 + 30 * q^20 - 32 * q^21 - 28 * q^22 - 24 * q^25 - 12 * q^26 + 14 * q^28 - 4 * q^30 + 4 * q^32 - 28 * q^33 + 4 * q^36 + 20 * q^40 + 24 * q^41 - 56 * q^42 - 4 * q^46 + 12 * q^48 + 20 * q^50 - 2 * q^52 + 24 * q^53 - 20 * q^56 - 24 * q^57 - 42 * q^58 + 88 * q^60 - 32 * q^61 - 128 * q^66 - 32 * q^68 + 108 * q^70 + 2 * q^72 - 8 * q^73 + 60 * q^76 - 72 * q^77 - 120 * q^78 - 64 * q^80 - 32 * q^81 - 42 * q^82 - 48 * q^85 - 24 * q^86 - 42 * q^88 - 56 * q^90 - 84 * q^92 + 8 * q^93 + 160 * q^96 + 68 * q^97 + 98 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/260\mathbb{Z}\right)^\times$.

$n$	$41$	$131$	$157$
$\chi(n)$	$e\left(\frac{2}{3}\right)$	$-1$	$e\left(\frac{3}{4}\right)$

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 $

$2$	1.31345	+	0.524261i	0.928749	+	0.370709i
$2$	1.31345	+	0.524261i	0.928749	+	0.370709i
$3$	0.689155	+	2.57196i	0.397884	+	1.48492i	0.816813	+	0.576903i	$0.195739\pi$
$3$	0.689155	+	2.57196i	0.397884	+	1.48492i	−0.418929	+	0.908019i	$0.637594\pi$
$4$	1.45030	+	1.37718i	0.725150	+	0.688591i
$5$	0.222626	−	2.22496i	0.0995615	−	0.995031i
$5$	0.222626	−	2.22496i	0.0995615	−	0.995031i
$6$	−0.443209	+	3.73944i	−0.180939	+	1.52662i
$7$	0.280044	−	1.04514i	0.105847	−	0.395025i	−0.892593	−	0.450863i	$-0.851116\pi$
$7$	0.280044	−	1.04514i	0.105847	−	0.395025i	0.998440	+	0.0558377i	$0.0177829\pi$
$8$	1.18289	+	2.56919i	0.418216	+	0.908348i
$9$	−3.54197	+	2.04496i	−1.18066	+	0.681653i
$10$	1.45887	−	2.80566i	0.461334	−	0.887226i
$11$	0.213488	+	0.123257i	0.0643689	+	0.0371634i	0.531839	−	0.846845i	$-0.321501\pi$
$11$	0.213488	+	0.123257i	0.0643689	+	0.0371634i	−0.467470	+	0.884009i	$0.654834\pi$
$12$	−2.54257	+	4.67921i	−0.733978	+	1.35077i
$13$	−1.52422	−	3.26753i	−0.422743	−	0.906249i
$13$	−1.52422	−	3.26753i	−0.422743	−	0.906249i
$14$	0.915750	−	1.22592i	0.244744	−	0.327641i
$15$	5.87593	−	0.960754i	1.51716	−	0.248066i
$16$	0.206743	+	3.99465i	0.0516857	+	0.998663i
$17$	−5.82248	−	1.56013i	−1.41216	−	0.378387i	−0.529464	−	0.848332i	$-0.677607\pi$
$17$	−5.82248	−	1.56013i	−1.41216	−	0.378387i	−0.882696	+	0.469945i	$0.844274\pi$
$18$	−5.72429	+	0.829032i	−1.34923	+	0.195405i
$19$	−1.97509	−	3.42095i	−0.453116	−	0.784820i	0.545462	−	0.838136i	$-0.316354\pi$
$19$	−1.97509	−	3.42095i	−0.453116	−	0.784820i	−0.998578	+	0.0533160i	$0.983021\pi$
$20$	3.38705	−	2.92026i	0.757366	−	0.652990i
$21$	2.88105			0.628697
$22$	0.215786	+	0.273815i	0.0460058	+	0.0583776i
$23$	0.742260	+	2.77015i	0.154772	+	0.577617i	0.999125	+	0.0418292i	$0.0133185\pi$
$23$	0.742260	+	2.77015i	0.154772	+	0.577617i	−0.844353	+	0.535788i	$0.820015\pi$
$24$	−5.79267	+	4.81293i	−1.18242	+	0.982435i
$25$	−4.90088	−	0.990668i	−0.980175	−	0.198134i
$26$	−0.288951	−	5.09083i	−0.0566680	−	0.998393i
$27$	−2.05210	−	2.05210i	−0.394927	−	0.394927i
$28$	1.84549	−	1.13009i	0.348766	−	0.213568i
$29$	3.76557	+	2.17405i	0.699249	+	0.403712i	0.807068	−	0.590459i	$-0.201053\pi$
$29$	3.76557	+	2.17405i	0.699249	+	0.403712i	−0.107818	+	0.994171i	$0.534387\pi$
$30$	8.22142	+	1.81862i	1.50102	+	0.332033i
$31$		−	0.881426i		−	0.158309i	−0.996862	−	0.0791544i	$-0.974778\pi$
$31$		−	0.881426i		−	0.158309i	0.996862	−	0.0791544i	$-0.0252220\pi$
$32$	−1.82270	+	5.35516i	−0.322210	+	0.946668i
$33$	−0.169886	+	0.634025i	−0.0295734	+	0.110370i
$34$	−6.82962	−	5.10165i	−1.17127	−	0.874927i
$35$	−2.26304	−	0.855762i	−0.382524	−	0.144650i
$36$	−7.95320	−	1.91213i	−1.32553	−	0.318689i
$37$	1.32673	+	4.95144i	0.218114	+	0.814012i	0.985047	+	0.172285i	$0.0551150\pi$
$37$	1.32673	+	4.95144i	0.218114	+	0.814012i	−0.766933	+	0.641727i	$0.778218\pi$
$38$	−0.800705	−	5.52871i	−0.129892	−	0.896875i
$39$	7.35353	−	6.17207i	1.17751	−	0.988323i
$40$	5.97969	−	2.05992i	0.945473	−	0.325702i
$41$	5.89948	−	10.2182i	0.921343	−	1.59581i	0.124004	−	0.992282i	$-0.460426\pi$
$41$	5.89948	−	10.2182i	0.921343	−	1.59581i	0.797339	−	0.603532i	$-0.206240\pi$
$42$	3.78411	+	1.51042i	0.583901	+	0.233063i
$43$	−1.93174	−	0.517607i	−0.294587	−	0.0789343i	0.108499	−	0.994097i	$-0.465396\pi$
$43$	−1.93174	−	0.517607i	−0.294587	−	0.0789343i	−0.403086	+	0.915162i	$0.632062\pi$
$44$	0.139874	+	0.472771i	0.0210867	+	0.0712729i
$45$	3.76141	+	8.33600i	0.560718	+	1.24266i
$46$	−0.477362	+	4.02759i	−0.0703832	+	0.593836i
$47$	6.04265	+	6.04265i	0.881410	+	0.881410i	0.993678	−	0.112268i	$-0.0358114\pi$
$47$	6.04265	+	6.04265i	0.881410	+	0.881410i	−0.112268	+	0.993678i	$0.535811\pi$
$48$	−10.1316	+	3.28467i	−1.46237	+	0.474101i
$49$	5.04829	+	2.91463i	0.721184	+	0.416376i
$50$	−5.91768	−	3.87053i	−0.836887	−	0.547376i
$51$		−	16.0504i		−	2.24750i
$52$	2.28940	−	6.83803i	0.317483	−	0.948264i
$53$	−0.436944	−	0.436944i	−0.0600188	−	0.0600188i	0.676460	−	0.736479i	$-0.263513\pi$
$53$	−0.436944	−	0.436944i	−0.0600188	−	0.0600188i	−0.736479	+	0.676460i	$0.763513\pi$
$54$	−1.61949	−	3.77117i	−0.220385	−	0.513191i
$55$	0.321770	−	0.447560i	0.0433874	−	0.0603490i
$56$	3.01643	−	0.516801i	0.403087	−	0.0690604i
$57$	7.43741	−	7.43741i	0.985109	−	0.985109i
$58$	3.80612	+	4.82965i	0.499768	+	0.634165i
$59$	5.04198	+	8.73296i	0.656409	+	1.13693i	0.981538	+	0.191265i	$0.0612590\pi$
$59$	5.04198	+	8.73296i	0.656409	+	1.13693i	−0.325129	+	0.945670i	$0.605408\pi$
$60$	9.84499	+	6.69884i	1.27098	+	0.864816i
$61$	−2.71591	−	4.70409i	−0.347737	−	0.602298i	0.638110	−	0.769945i	$-0.279716\pi$
$61$	−2.71591	−	4.70409i	−0.347737	−	0.602298i	−0.985847	+	0.167647i	$0.946383\pi$
$62$	0.462098	−	1.15771i	0.0586864	−	0.147029i
$63$	1.14536	+	4.27453i	0.144301	+	0.538540i
$64$	−5.20152	+	6.07817i	−0.650190	+	0.759771i
$65$	−7.60945	+	2.66389i	−0.943836	+	0.330415i
$66$	−0.555532	+	0.743695i	−0.0683812	+	0.0915425i
$67$	−12.5731	+	3.36894i	−1.53604	+	0.411582i	−0.924985	−	0.380003i	$-0.875923\pi$
$67$	−12.5731	+	3.36894i	−1.53604	+	0.411582i	−0.611060	+	0.791585i	$0.709256\pi$
$68$	−6.29577	−	10.2813i	−0.763474	−	1.24679i
$69$	−6.61319	+	3.81813i	−0.796135	+	0.459649i
$70$	−2.52375	−	2.31043i	−0.301646	−	0.276149i
$71$	8.10650	−	4.68029i	0.962064	−	0.555448i	0.0652564	−	0.997869i	$-0.479213\pi$
$71$	8.10650	−	4.68029i	0.962064	−	0.555448i	0.896808	+	0.442421i	$0.145880\pi$
$72$	−9.44367	−	6.68105i	−1.11295	−	0.787369i
$73$	−3.41850	−	3.41850i	−0.400105	−	0.400105i	0.478165	−	0.878270i	$-0.341302\pi$
$73$	−3.41850	−	3.41850i	−0.400105	−	0.400105i	−0.878270	+	0.478165i	$0.841302\pi$
$74$	−0.853249	+	7.19902i	−0.0991882	+	0.836869i
$75$	−0.829502	−	13.2876i	−0.0957827	−	1.53432i
$76$	1.84680	−	7.68146i	0.211842	−	0.881124i
$77$	0.188607	−	0.188607i	0.0214937	−	0.0214937i
$78$	12.8943	−	4.25154i	1.45999	−	0.481392i
$79$	−15.3665			−1.72887			−0.864436	−	0.502744i	$-0.832324\pi$
$79$	−15.3665			−1.72887			−0.864436	+	0.502744i	$0.832324\pi$
$80$	8.93396	+	0.429321i	0.998847	+	0.0479996i
$81$	−2.27117	+	3.93378i	−0.252352	+	0.437086i
$82$	13.1057	−	10.3282i	1.44728	−	1.14056i
$83$	−10.8773	+	10.8773i	−1.19394	+	1.19394i	−0.217983	+	0.975953i	$0.569948\pi$
$83$	−10.8773	+	10.8773i	−1.19394	+	1.19394i	−0.975953	+	0.217983i	$0.930052\pi$
$84$	4.17839	+	3.96773i	0.455899	+	0.432915i
$85$	−4.76746	+	12.6075i	−0.517104	+	1.36747i
$86$	−2.26588	−	1.69259i	−0.244336	−	0.182516i
$87$	−2.99652	+	11.1832i	−0.321261	+	1.19896i
$88$	−0.0641383	+	0.694291i	−0.00683717	+	0.0740117i
$89$	−1.31983	−	0.762004i	−0.139902	−	0.0807723i	0.428415	−	0.903582i	$-0.359072\pi$
$89$	−1.31983	−	0.762004i	−0.139902	−	0.0807723i	−0.568317	+	0.822810i	$0.692405\pi$
$90$	0.570182	+	12.9209i	0.0601025	+	1.36198i
$91$	−3.84187	+	0.677972i	−0.402738	+	0.0710708i
$92$	−2.73850	+	5.03978i	−0.285509	+	0.525433i
$93$	2.26699	−	0.607439i	0.235076	−	0.0629885i
$94$	4.76879	+	11.1046i	0.491863	+	1.14536i
$95$	−8.05118	+	3.63289i	−0.826033	+	0.372727i
$96$	−15.0294	−	0.997365i	−1.53393	−	0.101793i
$97$	12.4865	+	3.34576i	1.26782	+	0.339710i	0.829194	−	0.558962i	$-0.188800\pi$
$97$	12.4865	+	3.34576i	1.26782	+	0.339710i	0.438622	+	0.898672i	$0.355467\pi$
$98$	5.10264	+	6.47484i	0.515445	+	0.654058i
$99$	−1.00822			−0.101330
$100$	−5.74341	−	8.18616i	−0.574341	−	0.818616i
$101$	−0.881360	+	1.52656i	−0.0876986	+	0.151898i	−0.906538	−	0.422124i	$-0.861285\pi$
$101$	−0.881360	+	1.52656i	−0.0876986	+	0.151898i	0.818839	+	0.574023i	$0.194618\pi$
$102$	8.41459	−	21.0814i	0.833168	−	2.08737i
$103$	6.34127	−	6.34127i	0.624824	−	0.624824i	−0.321937	−	0.946761i	$-0.604334\pi$
$103$	6.34127	−	6.34127i	0.624824	−	0.624824i	0.946761	+	0.321937i	$0.104334\pi$
$104$	6.59192	−	7.78117i	0.646391	−	0.763006i
$105$	0.641397	−	6.41021i	0.0625940	−	0.625573i
$106$	−0.344831	−	0.802976i	−0.0334929	−	0.0779919i
$107$	−11.4066	+	3.05639i	−1.10272	+	0.295472i	−0.763870	−	0.645370i	$-0.776703\pi$
$107$	−11.4066	+	3.05639i	−1.10272	+	0.295472i	−0.338846	+	0.940842i	$0.610037\pi$
$108$	−0.150048	−	5.80228i	−0.0144383	−	0.558324i
$109$		−	14.9746i		−	1.43430i	−0.696917	−	0.717152i	$-0.745445\pi$
$109$		−	14.9746i		−	1.43430i	0.696917	−	0.717152i	$-0.254555\pi$
$110$	0.657267	−	0.419157i	0.0626679	−	0.0399650i
$111$	−11.8206	+	6.82462i	−1.12196	+	0.647764i
$112$	4.23286	+	0.902604i	0.399968	+	0.0852881i
$113$	1.00481	−	3.74999i	0.0945243	−	0.352770i	−0.902423	−	0.430852i	$-0.858213\pi$
$113$	1.00481	−	3.74999i	0.0945243	−	0.352770i	0.996947	+	0.0780824i	$0.0248797\pi$
$114$	13.6678	−	5.86952i	1.28011	−	0.549731i
$115$	6.32872	−	1.03479i	0.590156	−	0.0964946i
$116$	2.46714	+	8.33891i	0.229069	+	0.774248i
$117$	12.0807	+	8.45652i	1.11686	+	0.781806i
$118$	2.04403	+	14.1136i	0.188168	+	1.29926i
$119$	−3.26110	+	5.64840i	−0.298945	+	0.517788i
$120$	9.41897	+	13.9599i	0.859830	+	1.27436i
$121$	−5.46962	−	9.47365i	−0.497238	−	0.861241i
$122$	−1.10104	−	7.60244i	−0.0996832	−	0.688292i
$123$	30.3464	+	8.13130i	2.73625	+	0.733175i
$124$	1.21388	−	1.27833i	0.109010	−	0.114798i
$125$	−3.29526	+	10.6837i	−0.294737	+	0.955578i
$126$	−0.736602	+	6.21485i	−0.0656217	+	0.553663i
$127$	18.9849	−	5.08700i	1.68464	−	0.451398i	0.715642	−	0.698467i	$-0.246134\pi$
$127$	18.9849	−	5.08700i	1.68464	−	0.451398i	0.968998	+	0.247070i	$0.0794676\pi$
$128$	−10.0185	+	5.25641i	−0.885518	+	0.464606i
$129$		−	5.32506i		−	0.468845i
$130$	−11.3912	−	0.490447i	−0.999074	−	0.0430151i
$131$			16.0915i			1.40592i	0.711230	+	0.702959i	$0.248138\pi$
$131$			16.0915i			1.40592i	−0.711230	+	0.702959i	$0.751862\pi$
$132$	−1.11955	+	0.685562i	−0.0974446	+	0.0596705i
$133$	−4.12848	+	1.10622i	−0.357985	+	0.0959217i
$134$	−18.2803	−	2.16663i	−1.57918	−	0.187169i
$135$	−5.02269	+	4.10899i	−0.432284	+	0.353645i
$136$	−2.87910	−	16.8046i	−0.246881	−	1.44098i
$137$	7.55303	+	2.02383i	0.645299	+	0.172907i	0.566602	−	0.823991i	$-0.308258\pi$
$137$	7.55303	+	2.02383i	0.645299	+	0.172907i	0.0786963	+	0.996899i	$0.474924\pi$
$138$	−10.6878	+	1.54788i	−0.909805	+	0.131764i
$139$	−4.89227	−	8.47366i	−0.414957	−	0.718726i	0.580467	−	0.814284i	$-0.302870\pi$
$139$	−4.89227	−	8.47366i	−0.414957	−	0.718726i	−0.995424	+	0.0955574i	$0.969537\pi$
$140$	−2.10356	−	4.35773i	−0.177783	−	0.368296i
$141$	−11.3771	+	19.7058i	−0.958127	+	1.65952i
$142$	13.1012	−	1.89740i	1.09943	−	0.159226i
$143$	0.0773436	−	0.885448i	0.00646779	−	0.0740449i
$144$	−8.90118	−	13.7262i	−0.741765	−	1.14385i
$145$	5.67549	−	7.89424i	0.471324	−	0.655581i
$146$	−2.69784	−	6.28221i	−0.223275	−	0.519919i
$147$	−4.01726	+	14.9926i	−0.331338	+	1.23657i
$148$	−4.89487	+	9.00823i	−0.402356	+	0.740472i
$149$	1.96578	−	1.13494i	0.161043	−	0.0929783i	−0.417312	−	0.908763i	$-0.637028\pi$
$149$	1.96578	−	1.13494i	0.161043	−	0.0929783i	0.578356	+	0.815785i	$0.303695\pi$
$150$	5.87665	−	17.8874i	0.479827	−	1.46050i
$151$		−	2.56094i		−	0.208406i	−0.994556	−	0.104203i	$-0.966771\pi$
$151$		−	2.56094i		−	0.208406i	0.994556	−	0.104203i	$-0.0332292\pi$
$152$	6.45277	−	9.12100i	0.523389	−	0.739811i
$153$	23.8135	−	6.38080i	1.92520	−	0.515857i
$154$	0.346605	−	0.148846i	0.0279302	−	0.0119944i
$155$	−1.96114	−	0.196229i	−0.157522	−	0.0157615i
$156$	19.1649	+	1.17578i	1.53442	+	0.0941381i
$157$	−3.18007	+	3.18007i	−0.253797	+	0.253797i	−0.822526	−	0.568728i	$-0.807436\pi$
$157$	−3.18007	+	3.18007i	−0.253797	+	0.253797i	0.568728	+	0.822526i	$0.307436\pi$
$158$	−20.1832	−	8.05608i	−1.60569	−	0.640907i
$159$	0.822680	−	1.42492i	0.0652428	−	0.113004i
$160$	11.5092	+	5.24762i	0.909885	+	0.414861i
$161$	3.10306			0.244555
$162$	−5.04539	+	3.97613i	−0.396403	+	0.312395i
$163$	−14.5154	−	3.88939i	−1.13693	−	0.304640i	−0.359216	−	0.933255i	$-0.616956\pi$
$163$	−14.5154	−	3.88939i	−1.13693	−	0.304640i	−0.777717	+	0.628614i	$0.783622\pi$
$164$	22.6283	−	6.69480i	1.76697	−	0.522776i
$165$	1.37286	+	0.519141i	0.106877	+	0.0404150i
$166$	−19.9893	+	8.58422i	−1.55147	+	0.666264i
$167$	0.114854	−	0.0307750i	0.00888765	−	0.00238144i	−0.254372	−	0.967106i	$-0.581869\pi$
$167$	0.114854	−	0.0307750i	0.00888765	−	0.00238144i	0.263260	+	0.964725i	$0.415202\pi$
$168$	3.40798	+	7.40198i	0.262931	+	0.571075i
$169$	−8.35349	+	9.96088i	−0.642576	+	0.766222i
$170$	−12.8714	+	14.0599i	−0.987193	+	1.07834i
$171$	13.9914	+	8.07794i	1.06995	+	0.617735i
$172$	−2.08876	−	3.41104i	−0.159266	−	0.260089i
$173$	−2.69983	+	10.0759i	−0.205264	+	0.766055i	0.784105	+	0.620628i	$0.213122\pi$
$173$	−2.69983	+	10.0759i	−0.205264	+	0.766055i	−0.989369	+	0.145427i	$0.953544\pi$
$174$	−9.79868	+	13.1176i	−0.742836	+	0.994440i
$175$	−2.40785	+	4.84466i	−0.182016	+	0.366222i
$176$	−0.448232	+	0.878291i	−0.0337868	+	0.0662037i
$177$	−18.9861	+	18.9861i	−1.42708	+	1.42708i
$178$	−1.33404	−	1.69279i	−0.0999906	−	0.126880i
$179$	1.33830	−	2.31800i	0.100029	−	0.173256i	−0.811667	−	0.584120i	$-0.801440\pi$
$179$	1.33830	−	2.31800i	0.100029	−	0.173256i	0.911696	+	0.410864i	$0.134773\pi$
$180$	−6.02501	+	17.2698i	−0.449078	+	1.28722i
$181$	11.9703			0.889748			0.444874	−	0.895593i	$-0.353248\pi$
$181$	11.9703			0.889748			0.444874	+	0.895593i	$0.353248\pi$
$182$	−5.40154	−	1.12366i	−0.400389	−	0.0832913i
$183$	10.2271	−	10.2271i	0.756006	−	0.756006i
$184$	−6.23905	+	5.18381i	−0.459949	+	0.382155i
$185$	11.3121	−	1.84961i	0.831683	−	0.135986i
$186$	3.29604	+	0.390656i	0.241677	+	0.0286443i
$187$	−1.05073	−	1.05073i	−0.0768370	−	0.0768370i
$188$	0.441832	+	17.0855i	0.0322239	+	1.24609i
$189$	−2.71941	+	1.57005i	−0.197808	+	0.114204i
$190$	−12.4794	+	0.550700i	−0.905351	+	0.0399520i
$191$	11.1448	−	6.43445i	0.806410	−	0.465581i	−0.0392979	−	0.999228i	$-0.512512\pi$
$191$	11.1448	−	6.43445i	0.806410	−	0.465581i	0.845708	+	0.533647i	$0.179179\pi$
$192$	−19.2175	−	9.18931i	−1.38690	−	0.663182i
$193$	−6.09143	+	1.63219i	−0.438471	+	0.117488i	−0.471300	−	0.881973i	$-0.656215\pi$
$193$	−6.09143	+	1.63219i	−0.438471	+	0.117488i	0.0328291	+	0.999461i	$0.489548\pi$
$194$	14.6464	+	10.9407i	1.05155	+	0.785496i
$195$	−12.0955	−	17.7354i	−0.866178	−	1.27006i
$196$	3.30756	+	11.1795i	0.236254	+	0.798535i
$197$	6.07709	+	22.6800i	0.432974	+	1.61588i	0.745868	+	0.666094i	$0.232035\pi$
$197$	6.07709	+	22.6800i	0.432974	+	1.61588i	−0.312893	+	0.949788i	$0.601298\pi$
$198$	−1.32425	−	0.528572i	−0.0941103	−	0.0375640i
$199$	3.33531	+	5.77693i	0.236434	+	0.409516i	0.959688	−	0.281066i	$-0.0906879\pi$
$199$	3.33531	+	5.77693i	0.236434	+	0.409516i	−0.723254	+	0.690582i	$0.757355\pi$
$200$	−3.25200	−	13.7632i	−0.229951	−	0.973202i
$201$	−17.3296	−	30.0157i	−1.22233	−	2.11715i
$202$	−1.95794	+	1.54300i	−0.137760	+	0.108565i
$203$	3.32672	−	3.32672i	0.233490	−	0.233490i
$204$	22.1043	−	23.2779i	1.54761	−	1.62978i
$205$	−21.4217	−	15.4009i	−1.49615	−	1.07565i
$206$	11.6534	−	5.00446i	0.811932	−	0.348677i
$207$	−8.29391	−	8.29391i	−0.576467	−	0.576467i
$208$	12.7375	−	6.76428i	0.883188	−	0.469018i
$209$		−	0.973773i		−	0.0673573i
$210$	4.20307	−	8.08323i	0.290039	−	0.557796i
$211$	20.8392	+	12.0315i	1.43463	+	0.828282i	0.997469	−	0.0711027i	$-0.0226518\pi$
$211$	20.8392	+	12.0315i	1.43463	+	0.828282i	0.437158	+	0.899385i	$0.355985\pi$
$212$	−0.0319489	−	1.23545i	−0.00219426	−	0.0848511i
$213$	17.6241	+	17.6241i	1.20759	+	1.20759i
$214$	−16.5843	−	1.96562i	−1.13368	−	0.134367i
$215$	−1.58171	+	4.18280i	−0.107872	+	0.285264i
$216$	2.84483	−	7.69966i	0.193566	−	0.523896i
$217$	−0.921213	−	0.246838i	−0.0625360	−	0.0167565i
$218$	7.85059	−	19.6683i	0.531709	−	1.33211i
$219$	6.43636	−	11.1481i	0.434929	−	0.753319i
$220$	1.08303	−	0.205962i	0.0730182	−	0.0138859i
$221$	3.77699	+	21.4031i	0.254068	+	1.43973i
$222$	−19.1036	+	2.76672i	−1.28215	+	0.185690i
$223$	−3.68354	−	13.7472i	−0.246668	−	0.920578i	−0.972538	−	0.232746i	$-0.925229\pi$
$223$	−3.68354	−	13.7472i	−0.246668	−	0.920578i	0.725869	−	0.687832i	$-0.241438\pi$
$224$	5.08645	+	3.40465i	0.339853	+	0.227483i
$225$	19.3846	−	6.51317i	1.29231	−	0.434211i
$226$	3.28574	−	4.39865i	0.218564	−	0.292594i
$227$	3.68361	−	13.7474i	0.244490	−	0.912447i	−0.729150	−	0.684354i	$-0.760084\pi$
$227$	3.68361	−	13.7474i	0.244490	−	0.912447i	0.973639	−	0.228093i	$-0.0732491\pi$
$228$	21.0291	−	0.543816i	1.39269	−	0.0360151i
$229$		−	17.1010i		−	1.13006i	−0.825069	−	0.565032i	$-0.808864\pi$
$229$		−	17.1010i		−	1.13006i	0.825069	−	0.565032i	$-0.191136\pi$
$230$	8.85496	+	1.95876i	0.583878	+	0.129157i
$231$	0.615068	+	0.355110i	0.0404685	+	0.0233645i
$232$	−1.13130	+	12.2462i	−0.0742732	+	0.804000i
$233$	2.83901	+	2.83901i	0.185990	+	0.185990i	0.793960	−	0.607970i	$-0.208016\pi$
$233$	2.83901	+	2.83901i	0.185990	+	0.185990i	−0.607970	+	0.793960i	$0.708016\pi$
$234$	11.4340	+	17.4407i	0.747463	+	1.14013i
$235$	14.7899	−	12.0994i	0.964786	−	0.789277i
$236$	−4.71449	+	19.6091i	−0.306887	+	1.27645i
$237$	−10.5899	−	39.5221i	−0.687890	−	2.56724i
$238$	−7.24453	+	5.70922i	−0.469593	+	0.370074i
$239$	−13.8117			−0.893404			−0.446702	−	0.894683i	$-0.647402\pi$
$239$	−13.8117			−0.893404			−0.446702	+	0.894683i	$0.647402\pi$
$240$	5.05269	+	23.2737i	0.326149	+	1.50231i
$241$	2.39428	+	4.14702i	0.154229	+	0.267133i	0.932778	−	0.360451i	$-0.117377\pi$
$241$	2.39428	+	4.14702i	0.154229	+	0.267133i	−0.778549	+	0.627584i	$0.784044\pi$
$242$	−2.21740	−	15.3107i	−0.142540	−	0.984207i
$243$	−20.0924	−	5.38373i	−1.28893	−	0.345367i
$244$	2.53951	−	10.5627i	0.162575	−	0.676204i
$245$	7.60881	−	10.5834i	0.486109	−	0.676146i
$246$	35.5956	+	26.5895i	2.26949	+	1.69529i
$247$	−8.16758	+	11.6679i	−0.519691	+	0.742413i
$248$	2.26456	−	1.04263i	0.143799	−	0.0662073i
$249$	−35.4720	−	20.4798i	−2.24795	−	1.29785i
$250$	−9.92920	+	12.3049i	−0.627978	+	0.778231i
$251$	12.5299	−	7.23412i	0.790878	−	0.456614i	−0.0493935	−	0.998779i	$-0.515729\pi$
$251$	12.5299	−	7.23412i	0.790878	−	0.456614i	0.840272	+	0.542166i	$0.182395\pi$
$252$	−4.22569	+	7.77672i	−0.266194	+	0.489887i
$253$	−0.182978	+	0.682882i	−0.0115037	+	0.0429324i
$254$	27.6027	+	3.27155i	1.73194	+	0.205275i
$255$	−35.7114	−	3.57323i	−2.23633	−	0.223765i
$256$	−15.9145	+	1.65173i	−0.994657	+	0.103233i
$257$	−2.75142	−	10.2684i	−0.171629	−	0.640528i	−0.997101	−	0.0760852i	$-0.975758\pi$
$257$	−2.75142	−	10.2684i	−0.171629	−	0.640528i	0.825472	−	0.564442i	$-0.190909\pi$
$258$	2.79172	−	6.99420i	0.173805	−	0.435440i
$259$	5.54649			0.344642
$260$	−14.7046	−	6.61614i	−0.911944	−	0.410316i
$261$	−17.7834			−1.10076
$262$	−8.43614	+	21.1353i	−0.521186	+	1.30575i
$263$	1.31614	+	4.91189i	0.0811565	+	0.302880i	0.994559	−	0.104178i	$-0.0332212\pi$
$263$	1.31614	+	4.91189i	0.0811565	+	0.302880i	−0.913402	+	0.407058i	$0.866555\pi$
$264$	−1.82989	+	0.313513i	−0.112622	+	0.0192954i
$265$	−1.06946	+	0.874906i	−0.0656962	+	0.0537450i
$266$	−6.00250	−	0.711433i	−0.368037	−	0.0436208i
$267$	1.05028	−	3.91969i	0.0642759	−	0.239881i
$268$	−22.8744	−	12.4294i	−1.39727	−	0.759247i
$269$	1.93942	−	1.11972i	0.118248	−	0.0682708i	−0.439709	−	0.898140i	$-0.644918\pi$
$269$	1.93942	−	1.11972i	0.118248	−	0.0682708i	0.557958	+	0.829869i	$0.311585\pi$
$270$	−8.75123	+	2.76375i	−0.532583	+	0.168196i
$271$	−16.8254	−	9.71415i	−1.02207	−	0.590093i	−0.107367	−	0.994219i	$-0.534242\pi$
$271$	−16.8254	−	9.71415i	−1.02207	−	0.590093i	−0.914703	+	0.404127i	$0.867575\pi$
$272$	5.02842	−	23.5814i	0.304893	−	1.42983i
$273$	−4.39136	−	9.41391i	−0.265777	−	0.569756i
$274$	8.85951	+	6.61795i	0.535222	+	0.399805i
$275$	−0.924169	−	0.815563i	−0.0557295	−	0.0491803i
$276$	−14.8494	−	3.57013i	−0.893827	−	0.214897i
$277$	−4.50847	−	1.20804i	−0.270888	−	0.0725841i	0.120818	−	0.992675i	$-0.461448\pi$
$277$	−4.50847	−	1.20804i	−0.270888	−	0.0725841i	−0.391706	+	0.920091i	$0.628115\pi$
$278$	−1.98334	−	13.6945i	−0.118953	−	0.821345i
$279$	1.80248	+	3.12199i	0.107912	+	0.186908i
$280$	−0.478323	−	6.82648i	−0.0285853	−	0.407960i
$281$	29.7080			1.77223			0.886115	−	0.463465i	$-0.153394\pi$
$281$	29.7080			1.77223			0.886115	+	0.463465i	$0.153394\pi$
$282$	−25.2743	+	19.9179i	−1.50506	+	1.18610i
$283$	0.984611	+	3.67462i	0.0585290	+	0.218433i	0.988996	−	0.147943i	$-0.0472651\pi$
$283$	0.984611	+	3.67462i	0.0585290	+	0.218433i	−0.930467	+	0.366376i	$0.880598\pi$
$284$	18.2025	+	4.37629i	1.08012	+	0.259685i
$285$	−14.8922	−	18.2037i	−0.882135	−	1.07829i
$286$	0.565793	−	1.12244i	0.0334560	−	0.0663714i
$287$	−9.02732	−	9.02732i	−0.532866	−	0.532866i
$288$	−4.49515	−	22.6952i	−0.264879	−	1.33733i
$289$	16.7449	+	9.66766i	0.984993	+	0.568686i
$290$	11.5931	−	7.39324i	0.680771	−	0.434146i
$291$			34.4206i			2.01777i
$292$	−0.249957	−	9.66573i	−0.0146276	−	0.565644i
$293$	1.89911	−	7.08757i	0.110947	−	0.414060i	−0.888005	−	0.459834i	$-0.847909\pi$
$293$	1.89911	−	7.08757i	0.110947	−	0.414060i	0.998952	+	0.0457741i	$0.0145754\pi$
$294$	−13.1365	+	17.5860i	−0.766138	+	1.02563i
$295$	20.5529	−	9.27400i	1.19664	−	0.539953i
$296$	−11.1518	+	9.26567i	−0.648187	+	0.538556i
$297$	−0.185162	−	0.691034i	−0.0107442	−	0.0400978i
$298$	3.17696	−	0.460110i	0.184037	−	0.0266534i
$299$	7.92018	−	6.64769i	0.458036	−	0.384446i
$300$	17.0964	−	20.4134i	0.987060	−	1.17857i
$301$	−1.08194	+	1.87398i	−0.0623621	+	0.108014i
$302$	1.34260	−	3.36366i	0.0772579	−	0.193557i
$303$	−4.53365	−	1.21479i	−0.260451	−	0.0697877i
$304$	13.2572	−	8.59704i	0.760351	−	0.493074i
$305$	−11.0710	+	4.99553i	−0.633926	+	0.286043i
$306$	34.6230	+	4.10362i	1.97927	+	0.234588i
$307$	1.96372	+	1.96372i	0.112075	+	0.112075i	0.760920	−	0.648845i	$-0.224748\pi$
$307$	1.96372	+	1.96372i	0.112075	+	0.112075i	−0.648845	+	0.760920i	$0.724748\pi$
$308$	0.533282	−	0.0137907i	0.0303866	−	0.000785800i
$309$	20.6796	+	11.9394i	1.17642	+	0.679208i
$310$	−2.47298	−	1.28588i	−0.140456	−	0.0730333i
$311$		−	15.7915i		−	0.895454i	−0.894170	−	0.447727i	$-0.852234\pi$
$311$		−	15.7915i		−	0.895454i	0.894170	−	0.447727i	$-0.147766\pi$
$312$	24.5557	+	11.5917i	1.39019	+	0.656253i
$313$	−6.08868	−	6.08868i	−0.344152	−	0.344152i	0.513774	−	0.857926i	$-0.328247\pi$
$313$	−6.08868	−	6.08868i	−0.344152	−	0.344152i	−0.857926	+	0.513774i	$0.828247\pi$
$314$	−5.84405	+	2.50968i	−0.329799	+	0.141629i
$315$	9.76564	−	1.59675i	0.550231	−	0.0899666i
$316$	−22.2861	−	21.1625i	−1.25369	−	1.19048i
$317$	−3.80330	+	3.80330i	−0.213615	+	0.213615i	−0.805801	−	0.592186i	$-0.798265\pi$
$317$	−3.80330	+	3.80330i	−0.213615	+	0.213615i	0.592186	+	0.805801i	$0.298265\pi$
$318$	1.82758	−	1.44027i	0.102486	−	0.0807661i
$319$	0.535935	+	0.928267i	0.0300066	+	0.0519730i
$320$	12.3657	+	12.9263i	0.691262	+	0.722604i
$321$	−15.7218	−	27.2310i	−0.877506	−	1.51989i
$322$	4.07571	+	1.62681i	0.227131	+	0.0906588i
$323$	6.16278	+	22.9998i	0.342906	+	1.27974i
$324$	−8.71140	+	2.57735i	−0.483967	+	0.143186i
$325$	4.23299	+	17.5238i	0.234804	+	0.972043i
$326$	−17.0262	−	12.7184i	−0.942993	−	0.704405i
$327$	38.5140	−	10.3198i	2.12983	−	0.570686i
$328$	33.2310	+	3.06987i	1.83487	+	0.169505i
$329$	8.00761	−	4.62320i	0.441474	−	0.254885i
$330$	1.53101	+	1.40160i	0.0842795	+	0.0771556i
$331$	0.624401	−	0.360498i	0.0343202	−	0.0198148i	−0.482742	−	0.875763i	$-0.660359\pi$
$331$	0.624401	−	0.360498i	0.0343202	−	0.0198148i	0.517062	+	0.855948i	$0.327026\pi$
$332$	−30.7553	+	0.795335i	−1.68792	+	0.0436497i
$333$	−14.8247	−	14.8247i	−0.812391	−	0.812391i
$334$	0.166989	+	0.0197920i	0.00913722	+	0.00108297i
$335$	4.69666	+	28.7246i	0.256606	+	1.56939i
$336$	0.595636	+	11.5088i	0.0324946	+	0.627856i
$337$	−12.8296	+	12.8296i	−0.698875	+	0.698875i	−0.964168	−	0.265293i	$-0.914531\pi$
$337$	−12.8296	+	12.8296i	−0.698875	+	0.698875i	0.265293	+	0.964168i	$0.414531\pi$
$338$	−16.1940	+	8.70371i	−0.880837	+	0.473419i
$339$	10.3373			0.561445
$340$	−24.2770	+	11.7189i	−1.31661	+	0.635549i
$341$	0.108642	−	0.188173i	0.00588329	−	0.0101902i
$342$	14.1420	+	17.9451i	0.764714	+	0.970360i
$343$	9.81560	−	9.81560i	0.529993	−	0.529993i
$344$	−0.955205	−	5.57528i	−0.0515012	−	0.300599i
$345$	7.02290	+	15.5641i	0.378100	+	0.837942i
$346$	−8.82848	+	11.8188i	−0.474622	+	0.635380i
$347$	−0.578010	+	2.15716i	−0.0310292	+	0.115803i	−0.979703	−	0.200452i	$-0.935759\pi$
$347$	−0.578010	+	2.15716i	−0.0310292	+	0.115803i	0.948674	+	0.316255i	$0.102425\pi$
$348$	−19.7471	+	12.0922i	−1.05856	+	0.648210i
$349$	3.23455	+	1.86747i	0.173141	+	0.0999633i	0.584066	−	0.811706i	$-0.301461\pi$
$349$	3.23455	+	1.86747i	0.173141	+	0.0999633i	−0.410925	+	0.911669i	$0.634794\pi$
$350$	−5.70246	+	5.10088i	−0.304809	+	0.272654i
$351$	−3.57744	+	9.83316i	−0.190950	+	0.524855i
$352$	−1.04918	+	0.918600i	−0.0559217	+	0.0489616i
$353$	12.8578	−	3.44523i	0.684350	−	0.183371i	0.100140	−	0.994973i	$-0.468071\pi$
$353$	12.8578	−	3.44523i	0.684350	−	0.183371i	0.584210	+	0.811602i	$0.301404\pi$
$354$	−34.8910	+	14.9836i	−1.85444	+	0.796371i
$355$	−8.60872	−	19.0786i	−0.456904	−	1.01259i
$356$	−0.864732	−	2.92278i	−0.0458307	−	0.154907i
$357$	−16.7749	−	4.49481i	−0.887820	−	0.237891i
$358$	2.97303	−	2.34296i	0.157129	−	0.123829i
$359$	19.6095			1.03495			0.517474	−	0.855699i	$-0.326872\pi$
$359$	19.6095			1.03495			0.517474	+	0.855699i	$0.326872\pi$
$360$	−16.9675	+	19.5244i	−0.894263	+	1.02903i
$361$	1.69807	−	2.94114i	0.0893720	−	0.154797i
$362$	15.7224	+	6.27558i	0.826353	+	0.329837i
$363$	20.5964	−	20.5964i	1.08103	−	1.08103i
$364$	−6.50556	−	4.30769i	−0.340984	−	0.225784i
$365$	−8.36706	+	6.84496i	−0.437952	+	0.358282i
$366$	18.7944	−	8.07108i	0.982398	−	0.421882i
$367$	−11.2828	+	3.02321i	−0.588956	+	0.157810i	−0.540976	−	0.841038i	$-0.681945\pi$
$367$	−11.2828	+	3.02321i	−0.588956	+	0.157810i	−0.0479800	+	0.998848i	$0.515278\pi$
$368$	−10.9123	+	3.53778i	−0.568845	+	0.184420i
$369$			48.2567i			2.51214i
$370$	15.8276	+	3.50113i	0.822836	+	0.182015i
$371$	−0.579030	+	0.334303i	−0.0300618	+	0.0173562i
$372$	4.12438	+	2.24109i	0.213839	+	0.116195i
$373$	1.52823	−	5.70345i	0.0791290	−	0.295313i	−0.915009	−	0.403434i	$-0.867817\pi$
$373$	1.52823	−	5.70345i	0.0791290	−	0.295313i	0.994138	+	0.108120i	$0.0344832\pi$
$374$	−0.829224	−	1.93094i	−0.0428782	−	0.0998465i
$375$	−29.7490	−	1.11256i	−1.53623	−	0.0574522i
$376$	−8.37692	+	22.6725i	−0.432007	+	1.16925i
$377$	1.36421	−	15.6179i	0.0702606	−	0.804361i
$378$	−4.39492	+	0.636503i	−0.226050	+	0.0327382i
$379$	1.42303	−	2.46476i	0.0730961	−	0.126606i	−0.827161	−	0.561966i	$-0.810045\pi$
$379$	1.42303	−	2.46476i	0.0730961	−	0.126606i	0.900257	+	0.435359i	$0.143379\pi$
$380$	−16.6798	−	5.81915i	−0.855654	−	0.298516i
$381$	26.1671	+	45.3228i	1.34058	+	2.32196i
$382$	18.0115	−	2.60855i	0.921547	−	0.133465i
$383$	−12.8475	−	3.44249i	−0.656479	−	0.175903i	−0.0848224	−	0.996396i	$-0.527032\pi$
$383$	−12.8475	−	3.44249i	−0.656479	−	0.175903i	−0.571656	+	0.820493i	$0.693699\pi$
$384$	−20.4236	−	22.1447i	−1.04224	−	1.13007i
$385$	−0.377653	−	0.461631i	−0.0192470	−	0.0235269i
$386$	−8.85648	−	1.04970i	−0.450783	−	0.0534281i
$387$	7.90064	−	2.11697i	0.401612	−	0.107612i
$388$	13.5015	+	22.0486i	0.685435	+	1.11935i
$389$			23.0402i			1.16819i	0.811687	+	0.584093i	$0.198550\pi$
$389$			23.0402i			1.16819i	−0.811687	+	0.584093i	$0.801450\pi$
$390$	−6.58889	−	29.6357i	−0.333641	−	1.50066i
$391$		−	17.2872i		−	0.874251i
$392$	−1.51666	+	16.4177i	−0.0766031	+	0.829221i
$393$	−41.3866	+	11.0895i	−2.08768	+	0.559392i
$394$	−3.90829	+	32.9750i	−0.196897	+	1.66126i
$395$	−3.42100	+	34.1899i	−0.172129	+	1.72028i
$396$	−1.46223	−	1.38850i	−0.0734796	−	0.0697750i
$397$	20.2643	+	5.42981i	1.01704	+	0.272514i	0.728567	−	0.684975i	$-0.240187\pi$
$397$	20.2643	+	5.42981i	1.01704	+	0.272514i	0.288470	+	0.957489i	$0.406853\pi$
$398$	1.35214	+	9.33628i	0.0677769	+	0.467986i
$399$	−5.69032	−	9.85593i	−0.284872	−	0.493413i
$400$	2.94416	−	19.7821i	0.147208	−	0.989106i
$401$	−0.508026	+	0.879926i	−0.0253696	+	0.0439414i	−0.878431	−	0.477868i	$-0.841410\pi$
$401$	−0.508026	+	0.879926i	−0.0253696	+	0.0439414i	0.853062	+	0.521810i	$0.174743\pi$
$402$	−7.02546	−	48.5094i	−0.350398	−	2.41943i
$403$	−2.88009	+	1.34349i	−0.143467	+	0.0669240i
$404$	−3.38059	+	1.00018i	−0.168190	+	0.0497607i
$405$	8.24687	+	5.92901i	0.409790	+	0.294615i
$406$	6.11354	−	2.62541i	0.303410	−	0.130297i
$407$	−0.327059	+	1.22060i	−0.0162117	+	0.0605029i
$408$	41.2365	−	18.9859i	2.04151	−	0.939941i
$409$	−3.16428	+	1.82690i	−0.156464	+	0.0903342i	−0.576188	−	0.817318i	$-0.695460\pi$
$409$	−3.16428	+	1.82690i	−0.156464	+	0.0903342i	0.419724	+	0.907652i	$0.362127\pi$
$410$	−20.0622	−	31.4589i	−0.990800	−	1.55364i
$411$			20.8208i			1.02702i
$412$	17.9298	−	0.463667i	0.883339	−	0.0228433i
$413$	10.5391	−	2.82395i	0.518597	−	0.138958i
$414$	−6.54546	−	15.2418i	−0.321692	−	0.749094i
$415$	21.7799	+	26.6230i	1.06913	+	1.30687i
$416$	20.2763	−	2.20675i	0.994130	−	0.108195i
$417$	18.4224	−	18.4224i	0.902148	−	0.902148i
$418$	0.510512	−	1.27900i	0.0249699	−	0.0625581i
$419$	2.97074	−	5.14548i	0.145130	−	0.251373i	−0.784291	−	0.620393i	$-0.786973\pi$
$419$	2.97074	−	5.14548i	0.145130	−	0.251373i	0.929422	+	0.369020i	$0.120307\pi$
$420$	9.75825	−	8.41342i	0.476154	−	0.410533i
$421$	−3.28916			−0.160304			−0.0801518	−	0.996783i	$-0.525541\pi$
$421$	−3.28916			−0.160304			−0.0801518	+	0.996783i	$0.525541\pi$
$422$	21.0635	+	26.7279i	1.02536	+	1.30109i
$423$	−33.7598	−	9.04592i	−1.64146	−	0.439828i
$424$	0.605735	−	1.63945i	0.0294171	−	0.0796188i
$425$	26.9897	+	13.4142i	1.30919	+	0.650682i
$426$	13.9088	+	32.3881i	0.673882	+	1.56921i
$427$	−5.67701	+	1.52115i	−0.274730	+	0.0736136i
$428$	−20.7522	−	11.2763i	−1.00309	−	0.545059i
$429$	2.33064	−	0.411286i	0.112524	−	0.0198571i
$430$	−4.27037	+	4.66467i	−0.205936	+	0.224950i
$431$	2.37318	+	1.37016i	0.114312	+	0.0659981i	0.556066	−	0.831138i	$-0.312310\pi$
$431$	2.37318	+	1.37016i	0.114312	+	0.0659981i	−0.441754	+	0.897136i	$0.645644\pi$
$432$	7.77317	−	8.62169i	0.373987	−	0.414811i
$433$	−1.10006	+	4.10546i	−0.0528653	+	0.197296i	−0.987308	−	0.158818i	$-0.949232\pi$
$433$	−1.10006	+	4.10546i	−0.0528653	+	0.197296i	0.934443	+	0.356114i	$0.115898\pi$
$434$	−1.08056	−	0.807166i	−0.0518685	−	0.0387452i
$435$	24.2150	+	9.15680i	1.16102	+	0.439035i
$436$	20.6227	−	21.7176i	0.987648	−	1.04009i
$437$	8.01053	−	8.01053i	0.383195	−	0.383195i
$438$	14.2984	−	11.2681i	0.683202	−	0.538413i
$439$	−13.1814	+	22.8308i	−0.629113	+	1.08966i	0.358617	+	0.933485i	$0.383249\pi$
$439$	−13.1814	+	22.8308i	−0.629113	+	1.08966i	−0.987730	+	0.156171i	$0.950085\pi$
$440$	1.53049	+	0.297273i	0.0729632	+	0.0141719i
$441$	−23.8412			−1.13529
$442$	−6.25994	+	30.0921i	−0.297755	+	1.43133i
$443$	−26.9223	+	26.9223i	−1.27911	+	1.27911i	−0.337951	+	0.941164i	$0.609734\pi$
$443$	−26.9223	+	26.9223i	−1.27911	+	1.27911i	−0.941164	+	0.337951i	$0.890266\pi$
$444$	−26.5421	−	6.38134i	−1.25963	−	0.302845i
$445$	−1.98926	+	2.76692i	−0.0942998	+	0.131165i
$446$	2.36896	−	19.9873i	0.112173	−	0.946428i
$447$	4.27376	+	4.27376i	0.202142	+	0.202142i
$448$	4.89588	+	7.13847i	0.231308	+	0.337261i
$449$	5.28544	−	3.05155i	0.249435	−	0.144012i	−0.370070	−	0.929004i	$-0.620666\pi$
$449$	5.28544	−	3.05155i	0.249435	−	0.144012i	0.619506	+	0.784992i	$0.287333\pi$
$450$	28.8753	+	1.60789i	1.36120	+	0.0757969i
$451$	2.51893	−	1.45430i	0.118612	−	0.0684805i
$452$	6.62169	−	4.05481i	0.311458	−	0.190722i
$453$	6.58663	−	1.76488i	0.309467	−	0.0829214i
$454$	12.0455	−	16.1254i	0.565322	−	0.756801i
$455$	0.653158	+	8.69894i	0.0306205	+	0.407812i
$456$	27.9058	+	10.3105i	1.30681	+	0.482833i
$457$	1.51257	+	5.64498i	0.0707549	+	0.264061i	0.992237	−	0.124359i	$-0.0396875\pi$
$457$	1.51257	+	5.64498i	0.0707549	+	0.264061i	−0.921482	+	0.388420i	$0.873021\pi$
$458$	8.96537	−	22.4613i	0.418924	−	1.04955i
$459$	8.74678	+	15.1499i	0.408265	+	0.707135i
$460$	10.6036	+	7.21504i	0.494397	+	0.336403i
$461$	−0.671324	−	1.16277i	−0.0312667	−	0.0541555i	0.849969	−	0.526833i	$-0.176621\pi$
$461$	−0.671324	−	1.16277i	−0.0312667	−	0.0541555i	−0.881235	+	0.472678i	$0.843287\pi$
$462$	0.621691	+	0.788875i	0.0289237	+	0.0367018i
$463$	24.2564	−	24.2564i	1.12729	−	1.12729i	0.136674	−	0.990616i	$-0.456359\pi$
$463$	24.2564	−	24.2564i	1.12729	−	1.12729i	0.990616	−	0.136674i	$-0.0436412\pi$
$464$	−7.90609	+	15.4916i	−0.367031	+	0.719181i
$465$	−0.846834	−	5.17920i	−0.0392710	−	0.240180i
$466$	2.24052	+	5.21729i	0.103790	+	0.241686i
$467$	−15.6597	−	15.6597i	−0.724645	−	0.724645i	0.244903	−	0.969548i	$-0.421244\pi$
$467$	−15.6597	−	15.6597i	−0.724645	−	0.724645i	−0.969548	+	0.244903i	$0.921244\pi$
$468$	5.87450	+	28.9018i	0.271549	+	1.33599i
$469$			14.0841i			0.650341i
$470$	25.7690	−	8.13817i	1.18864	−	0.375386i
$471$	−10.3706	−	5.98746i	−0.477851	−	0.275887i
$472$	−16.4726	+	23.2840i	−0.758211	+	1.07173i
$473$	−0.348603	−	0.348603i	−0.0160288	−	0.0160288i
$474$	6.81059	−	57.4622i	0.312821	−	2.63933i
$475$	6.29063	+	18.7223i	0.288634	+	0.859038i
$476$	−12.5085	+	3.70074i	−0.573324	+	0.169623i
$477$	2.44117	+	0.654110i	0.111774	+	0.0299497i
$478$	−18.1410	−	7.24093i	−0.829748	−	0.331193i
$479$	3.94739	−	6.83708i	0.180361	−	0.312394i	−0.761643	−	0.647997i	$-0.775607\pi$
$479$	3.94739	−	6.83708i	0.180361	−	0.312394i	0.942003	+	0.335603i	$0.108940\pi$
$480$	−5.56503	+	33.2177i	−0.254008	+	1.51617i
$481$	14.1567	−	11.8822i	0.645492	−	0.541783i
$482$	0.970649	+	6.70213i	0.0442118	+	0.305274i
$483$	2.13849	+	7.98095i	0.0973046	+	0.363146i
$484$	5.11435	−	21.2723i	0.232471	−	0.966922i
$485$	10.2240	−	27.0372i	0.464248	−	1.22769i
$486$	−23.5678	−	17.6049i	−1.06906	−	0.798575i
$487$	−2.78006	+	10.3753i	−0.125976	+	0.470150i	−0.999873	−	0.0159622i	$-0.994919\pi$
$487$	−2.78006	+	10.3753i	−0.125976	+	0.470150i	0.873896	+	0.486113i	$0.161586\pi$
$488$	8.87310	−	12.5421i	0.401666	−	0.567756i
$489$		−	40.0134i		−	1.80947i
$490$	15.5422	−	9.91170i	0.702126	−	0.447765i
$491$	−34.4505	−	19.8900i	−1.55473	−	0.897622i	−0.997746	−	0.0670971i	$-0.978626\pi$
$491$	−34.4505	−	19.8900i	−1.55473	−	0.897622i	−0.556981	−	0.830525i	$-0.688040\pi$
$492$	32.8132	+	53.5854i	1.47933	+	2.41582i
$493$	−18.5332	−	18.5332i	−0.834692	−	0.834692i
$494$	−16.8448	+	11.0433i	−0.757881	+	0.496862i
$495$	−0.224457	+	2.24325i	−0.0100886	+	0.100827i
$496$	3.52099	−	0.182228i	0.158097	−	0.00818230i
$497$	−2.62137	−	9.78310i	−0.117585	−	0.438832i
$498$	−35.8540	−	45.4958i	−1.60666	−	2.03871i
$499$	5.97756			0.267592			0.133796	−	0.991009i	$-0.457283\pi$
$499$	5.97756			0.267592			0.133796	+	0.991009i	$0.457283\pi$
$500$	−19.4925	+	10.9564i	−0.871731	+	0.489985i
$501$	0.158304	+	0.274191i	0.00707250	+	0.0122499i
$502$	20.2499	−	2.93273i	0.903798	−	0.130894i
$503$	3.38852	+	0.907952i	0.151087	+	0.0404836i	0.333570	−	0.942725i	$-0.391747\pi$
$503$	3.38852	+	0.907952i	0.151087	+	0.0404836i	−0.182483	+	0.983209i	$0.558413\pi$
$504$	−9.62726	+	7.99896i	−0.428832	+	0.356302i
$505$	3.20032	+	2.30084i	0.142412	+	0.102386i
$506$	−0.598340	+	0.801003i	−0.0265995	+	0.0356089i
$507$	−31.3758	−	14.6203i	−1.39345	−	0.649309i
$508$	34.5396	+	18.7680i	1.53245	+	0.832696i
$509$	9.19146	+	5.30669i	0.407404	+	0.235215i	0.689674	−	0.724120i	$-0.257754\pi$
$509$	9.19146	+	5.30669i	0.407404	+	0.235215i	−0.282269	+	0.959335i	$0.591087\pi$
$510$	−45.0318	−	23.4154i	−1.99404	−	1.03685i
$511$	−4.53013	+	2.61547i	−0.200401	+	0.115702i
$512$	−21.7689	−	6.17390i	−0.962057	−	0.272850i
$513$	−2.96706	+	11.0732i	−0.130999	+	0.488894i
$514$	1.76949	−	14.9295i	0.0780489	−	0.658514i
$515$	−12.6973	−	15.5208i	−0.559511	−	0.683928i
$516$	7.33357	−	7.72294i	0.322843	−	0.339983i
$517$	0.545231	+	2.03483i	0.0239792	+	0.0894916i
$518$	7.28503	+	2.90781i	0.320086	+	0.127762i
$519$	−27.7754			−1.21920
$520$	−15.8452	−	16.3990i	−0.694859	−	0.719146i
$521$	−17.3003			−0.757939			−0.378970	−	0.925409i	$-0.623722\pi$
$521$	−17.3003			−0.757939			−0.378970	+	0.925409i	$0.623722\pi$
$522$	−23.3576	−	9.32315i	−1.02233	−	0.408063i
$523$	0.0221962	+	0.0828373i	0.000970571	+	0.00362222i	0.966409	−	0.257007i	$-0.0827365\pi$
$523$	0.0221962	+	0.0828373i	0.000970571	+	0.00362222i	−0.965439	+	0.260630i	$0.916070\pi$
$524$	−22.1609	+	23.3375i	−0.968103	+	1.01950i
$525$	−14.1197	−	2.85416i	−0.616233	−	0.124566i
$526$	−0.846434	+	7.14152i	−0.0369063	+	0.311385i
$527$	−1.37514	+	5.13209i	−0.0599020	+	0.223557i
$528$	−2.56783	−	0.547557i	−0.111751	−	0.0238294i
$529$	12.7958	−	7.38765i	0.556339	−	0.321202i
$530$	−1.86336	+	0.588471i	−0.0809390	+	0.0255615i
$531$	−35.7171	−	20.6213i	−1.54999	−	0.894887i
$532$	−7.51100	−	4.08131i	−0.325643	−	0.176947i
$533$	−42.3804	−	3.70191i	−1.83570	−	0.160347i
$534$	3.43443	−	4.59769i	0.148622	−	0.198962i
$535$	4.26093	+	26.0596i	0.184216	+	1.12666i
$536$	−23.5281	−	28.3176i	−1.01626	−	1.22313i
$537$	6.88411	+	1.84459i	0.297071	+	0.0796000i
$538$	3.13436	−	0.453939i	0.135132	−	0.0195707i
$539$	0.718498	+	1.24447i	0.0309479	+	0.0536033i
$540$	−12.9432	−	0.957890i	−0.556988	−	0.0412210i
$541$	36.6278			1.57475			0.787376	−	0.616473i	$-0.211439\pi$
$541$	36.6278			1.57475			0.787376	+	0.616473i	$0.211439\pi$
$542$	−17.0066	−	21.5800i	−0.730495	−	0.926938i
$543$	8.24942	+	30.7872i	0.354016	+	1.32121i
$544$	18.9674	−	28.3367i	0.813219	−	1.21493i
$545$	−33.3178	−	3.33373i	−1.42718	−	0.142801i
$546$	−0.832483	−	14.6669i	−0.0356270	−	0.627686i
$547$	1.18524	+	1.18524i	0.0506772	+	0.0506772i	0.731991	−	0.681314i	$-0.238591\pi$
$547$	1.18524	+	1.18524i	0.0506772	+	0.0506772i	−0.681314	+	0.731991i	$0.738591\pi$
$548$	8.16698	+	13.3370i	0.348876	+	0.569730i
$549$	19.2394	+	11.1078i	0.821116	+	0.474071i
$550$	−0.786281	−	1.55571i	−0.0335271	−	0.0663355i
$551$		−	17.1758i		−	0.731713i
$552$	−17.6322	−	12.4741i	−0.750477	−	0.530935i
$553$	−4.30331	+	16.0602i	−0.182995	+	0.682948i
$554$	−5.28832	−	3.95032i	−0.224679	−	0.167833i
$555$	12.5529	+	27.8196i	0.532841	+	1.18088i
$556$	4.57450	−	19.0269i	0.194002	−	0.806920i
$557$	−10.4758	−	39.0961i	−0.443872	−	1.65655i	−0.718897	−	0.695116i	$-0.755353\pi$
$557$	−10.4758	−	39.0961i	−0.443872	−	1.65655i	0.275025	−	0.961437i	$-0.411314\pi$
$558$	0.730730	+	5.04554i	0.0309343	+	0.213595i
$559$	1.25310	+	7.10095i	0.0530005	+	0.300338i
$560$	2.95060	−	9.21700i	0.124686	−	0.389489i
$561$	1.97832	−	3.42655i	0.0835248	−	0.144669i
$562$	39.0200	+	15.5747i	1.64596	+	0.656981i
$563$	−24.9205	−	6.67743i	−1.05027	−	0.281420i	−0.307909	−	0.951416i	$-0.599629\pi$
$563$	−24.9205	−	6.67743i	−1.05027	−	0.281420i	−0.742365	+	0.669996i	$0.766296\pi$
$564$	−43.6387	+	12.9109i	−1.83752	+	0.543647i
$565$	−8.11988	−	3.07050i	−0.341606	−	0.129177i
$566$	−0.633222	+	5.34262i	−0.0266163	+	0.224567i
$567$	3.47532	+	3.47532i	0.145950	+	0.145950i
$568$	21.6137	+	15.2909i	0.906891	+	0.641591i
$569$	−22.8906	−	13.2159i	−0.959622	−	0.554038i	−0.0635652	−	0.997978i	$-0.520247\pi$
$569$	−22.8906	−	13.2159i	−0.959622	−	0.554038i	−0.896057	+	0.443940i	$0.853580\pi$
$570$	−10.0166	−	31.7170i	−0.419550	−	1.32848i
$571$			3.87191i			0.162034i	0.996713	+	0.0810172i	$0.0258169\pi$
$571$			3.87191i			0.162034i	−0.996713	+	0.0810172i	$0.974183\pi$
$572$	1.33159	−	1.17765i	0.0556767	−	0.0492400i
$573$	24.2297	+	24.2297i	1.01221	+	1.01221i
$574$	−7.12425	−	16.5896i	−0.297361	−	0.692436i
$575$	−0.893423	−	14.3115i	−0.0372583	−	0.596831i
$576$	5.99404	−	32.1656i	0.249752	−	1.34023i
$577$	−5.85933	+	5.85933i	−0.243927	+	0.243927i	−0.818473	−	0.574546i	$-0.805179\pi$
$577$	−5.85933	+	5.85933i	−0.243927	+	0.243927i	0.574546	+	0.818473i	$0.305179\pi$
$578$	16.9252	+	21.4767i	0.703995	+	0.893312i
$579$	−8.39587	−	14.5421i	−0.348921	−	0.604348i
$580$	19.1030	−	3.63283i	0.793208	−	0.150845i
$581$	8.32214	+	14.4144i	0.345261	+	0.598009i
$582$	−18.0454	+	45.2098i	−0.748006	+	1.87400i
$583$	−0.0394256	−	0.147138i	−0.00163284	−	0.00609385i
$584$	4.73906	−	12.8265i	0.196104	−	0.530764i
$585$	21.5049	−	24.9964i	0.889118	−	1.03348i
$586$	6.21012	−	8.31354i	0.256538	−	0.343429i
$587$	9.41236	−	2.52204i	0.388490	−	0.104096i	−0.0592868	−	0.998241i	$-0.518883\pi$
$587$	9.41236	−	2.52204i	0.388490	−	0.104096i	0.447777	+	0.894145i	$0.352216\pi$
$588$	−26.4738	+	16.2113i	−1.09176	+	0.668543i
$589$	−3.01531	+	1.74089i	−0.124244	+	0.0717322i
$590$	31.8573	−	1.40582i	1.31154	−	0.0578768i
$591$	−54.1440	+	31.2601i	−2.22719	+	1.28587i
$592$	−19.5050	+	6.32352i	−0.801650	+	0.259895i
$593$	22.1003	+	22.1003i	0.907550	+	0.907550i	0.996074	−	0.0885244i	$-0.0282151\pi$
$593$	22.1003	+	22.1003i	0.907550	+	0.907550i	−0.0885244	+	0.996074i	$0.528215\pi$
$594$	0.119081	−	1.00471i	0.00488596	−	0.0412238i
$595$	11.8414	+	8.51330i	0.485452	+	0.349011i
$596$	4.41400	+	1.06123i	0.180804	+	0.0434696i
$597$	−12.5595	+	12.5595i	−0.514026	+	0.514026i
$598$	13.8879	−	4.57916i	0.567918	−	0.187256i
$599$	39.1769			1.60073			0.800363	−	0.599515i	$-0.204640\pi$
$599$	39.1769			1.60073			0.800363	+	0.599515i	$0.204640\pi$
$600$	33.1572	−	17.8490i	1.35364	−	0.728680i
$601$	−17.2215	+	29.8285i	−0.702480	+	1.21673i	0.265113	+	0.964217i	$0.414591\pi$
$601$	−17.2215	+	29.8285i	−0.702480	+	1.21673i	−0.967593	+	0.252514i	$0.918743\pi$
$602$	−2.40353	+	1.89416i	−0.0979606	+	0.0772001i
$603$	37.6441	−	37.6441i	1.53299	−	1.53299i
$604$	3.52687	−	3.71413i	0.143506	−	0.151126i
$605$	−22.2962	+	10.0606i	−0.906468	+	0.409021i
$606$	−5.31785	−	3.97238i	−0.216023	−	0.161367i
$607$	7.93497	−	29.6137i	0.322071	−	1.20198i	−0.595153	−	0.803612i	$-0.702909\pi$
$607$	7.93497	−	29.6137i	0.322071	−	1.20198i	0.917224	−	0.398372i	$-0.130425\pi$
$608$	21.9197	−	4.34156i	0.888962	−	0.176074i
$609$	10.8488	+	6.26356i	0.439616	+	0.253812i
$610$	−17.1602	+	0.757260i	−0.694797	+	0.0306605i
$611$	10.5342	−	28.9549i	0.426167	−	1.17139i
$612$	43.3242	+	23.5414i	1.75128	+	0.951604i
$613$	42.5056	−	11.3893i	1.71679	−	0.460011i	0.739714	−	0.672921i	$-0.234961\pi$
$613$	42.5056	−	11.3893i	1.71679	−	0.460011i	0.977072	+	0.212910i	$0.0682940\pi$
$614$	1.54974	+	3.60875i	0.0625426	+	0.145637i
$615$	24.8477	−	65.7093i	1.00196	−	2.64966i
$616$	0.707669	+	0.261466i	0.0285128	+	0.0105347i
$617$	0.302811	+	0.0811381i	0.0121907	+	0.00326650i	0.264909	−	0.964273i	$-0.414658\pi$
$617$	0.302811	+	0.0811381i	0.0121907	+	0.00326650i	−0.252719	+	0.967540i	$0.581325\pi$
$618$	20.9023	+	26.5233i	0.840813	+	1.06692i
$619$	−15.7321			−0.632325			−0.316163	−	0.948705i	$-0.602394\pi$
$619$	−15.7321			−0.632325			−0.316163	+	0.948705i	$0.602394\pi$
$620$	−2.57399	−	2.98543i	−0.103374	−	0.119898i
$621$	4.16144	−	7.20782i	0.166993	−	0.289240i
$622$	8.27887	−	20.7413i	0.331953	−	0.831652i
$623$	−1.16601	+	1.16601i	−0.0467152	+	0.0467152i
$624$	26.1756	+	28.0988i	1.04786	+	1.12485i
$625$	23.0372	+	9.71028i	0.921486	+	0.388411i
$626$	−4.80511	−	11.1892i	−0.192051	−	0.447211i
$627$	2.50451	−	0.671081i	0.100020	−	0.0268004i
$628$	−8.99159	+	0.232524i	−0.358804	+	0.00927870i
$629$		−	30.8996i		−	1.23205i
$630$	13.6638	+	3.02250i	0.544378	+	0.120419i
$631$	−31.8425	+	18.3843i	−1.26763	+	0.731866i	−0.974539	−	0.224218i	$-0.928017\pi$
$631$	−31.8425	+	18.3843i	−1.26763	+	0.731866i	−0.293091	+	0.956085i	$0.594684\pi$
$632$	−18.1770	−	39.4796i	−0.723042	−	1.57042i
$633$	−16.5831	+	61.8891i	−0.659120	+	2.45987i
$634$	−6.98937	+	3.00152i	−0.277583	+	0.119206i
$635$	−7.09181	−	43.3732i	−0.281430	−	1.72121i
$636$	3.15551	−	0.933588i	0.125124	−	0.0370192i
$637$	1.82892	−	20.9380i	0.0724646	−	0.829593i
$638$	0.217270	+	1.50020i	0.00860178	+	0.0593936i
$639$	−19.1420	+	33.1549i	−0.757245	+	1.31159i
$640$	9.46492	+	23.4609i	0.374134	+	0.927375i
$641$	6.68010	+	11.5703i	0.263848	+	0.456999i	0.967261	−	0.253783i	$-0.0816749\pi$
$641$	6.68010	+	11.5703i	0.263848	+	0.456999i	−0.703413	+	0.710781i	$0.748342\pi$
$642$	−6.37367	−	44.0089i	−0.251549	−	1.73689i
$643$	−5.03024	−	1.34785i	−0.198373	−	0.0531539i	0.158264	−	0.987397i	$-0.449410\pi$
$643$	−5.03024	−	1.34785i	−0.198373	−	0.0531539i	−0.356637	+	0.934243i	$0.616077\pi$
$644$	4.50037	+	4.27348i	0.177339	+	0.168399i
$645$	−11.8480	−	1.18550i	−0.466516	−	0.0466789i
$646$	−3.96341	+	33.4400i	−0.155938	+	1.31568i
$647$	38.1529	−	10.2230i	1.49995	−	0.401909i	0.586864	−	0.809686i	$-0.300362\pi$
$647$	38.1529	−	10.2230i	1.49995	−	0.401909i	0.913082	+	0.407776i	$0.133696\pi$
$648$	−12.7932	−	1.18183i	−0.502564	−	0.0464267i
$649$			2.48584i			0.0975776i
$650$	−3.62721	+	25.2358i	−0.142271	+	0.989828i
$651$		−	2.53943i		−	0.0995282i
$652$	−15.6953	−	25.6311i	−0.614675	−	1.00379i
$653$	20.2071	−	5.41449i	0.790767	−	0.211885i	0.159241	−	0.987240i	$-0.449095\pi$
$653$	20.2071	−	5.41449i	0.790767	−	0.211885i	0.631526	+	0.775354i	$0.282429\pi$
$654$	55.9965	+	6.63686i	2.18964	+	0.259522i
$655$	35.8029	+	3.58239i	1.39893	+	0.139975i
$656$	42.0378	+	21.4538i	1.64130	+	0.837631i
$657$	19.0989	+	5.11753i	0.745119	+	0.199654i
$658$	12.9414	−	1.87426i	0.504507	−	0.0730661i
$659$	14.3212	+	24.8051i	0.557876	+	0.966270i	0.997674	+	0.0681727i	$0.0217169\pi$
$659$	14.3212	+	24.8051i	0.557876	+	0.966270i	−0.439797	+	0.898097i	$0.644950\pi$
$660$	1.27610	+	2.64358i	0.0496723	+	0.102901i
$661$	−1.45694	+	2.52349i	−0.0566683	+	0.0981524i	−0.892968	−	0.450120i	$-0.851381\pi$
$661$	−1.45694	+	2.52349i	−0.0566683	+	0.0981524i	0.836300	+	0.548273i	$0.184714\pi$
$662$	1.00911	−	0.146147i	0.0392203	−	0.00568016i
$663$	−52.4451	+	24.4643i	−2.03680	+	0.950116i
$664$	−40.8125	−	15.0792i	−1.58383	−	0.585185i
$665$	1.54219	+	9.43197i	0.0598036	+	0.365756i
$666$	−11.6995	−	27.2436i	−0.453347	−	1.05567i
$667$	−3.22743	+	12.0449i	−0.124967	+	0.466381i
$668$	0.208955	+	0.113541i	0.00808472	+	0.00439305i
$669$	32.8186	−	18.9478i	1.26884	−	0.732566i
$670$	−8.89034	+	40.1906i	−0.343464	+	1.55270i
$671$		−	1.33902i		−	0.0516923i
$672$	−5.25128	+	15.4285i	−0.202572	+	0.595167i
$673$	−20.4177	+	5.47091i	−0.787045	+	0.210888i	−0.629888	−	0.776686i	$-0.716899\pi$
$673$	−20.4177	+	5.47091i	−0.787045	+	0.210888i	−0.157156	+	0.987574i	$0.550233\pi$
$674$	−23.5772	+	10.1250i	−0.908159	+	0.390001i
$675$	8.02414	+	12.0900i	0.308849	+	0.465346i
$676$	−25.8330	+	2.94200i	−0.993577	+	0.113154i
$677$	−26.0071	+	26.0071i	−0.999536	+	0.999536i	−1.00000		0.000464386i	$-0.999852\pi$
$677$	−26.0071	+	26.0071i	−0.999536	+	0.999536i	0.000464386		1.00000i	$0.499852\pi$
$678$	13.5775	+	5.41945i	0.521442	+	0.208133i
$679$	6.99356	−	12.1132i	0.268388	−	0.464862i
$680$	−38.0304	+	2.66475i	−1.45840	+	0.102188i
$681$	37.8964			1.45219
$682$	0.241348	−	0.190200i	0.00924169	−	0.00728312i
$683$	−2.00463	−	0.537138i	−0.0767049	−	0.0205530i	0.220262	−	0.975441i	$-0.429309\pi$
$683$	−2.00463	−	0.537138i	−0.0767049	−	0.0205530i	−0.296967	+	0.954888i	$0.595975\pi$
$684$	9.16695	+	30.9841i	0.350507	+	1.18471i
$685$	6.18443	−	16.3546i	0.236295	−	0.624878i
$686$	18.0382	−	7.74636i	0.688703	−	0.295757i
$687$	43.9830	−	11.7852i	1.67806	−	0.449634i
$688$	1.66829	−	7.82363i	0.0636029	−	0.298273i
$689$	−0.761727	+	2.09373i	−0.0290195	+	0.0797646i
$690$	1.06458	+	24.1245i	0.0405280	+	0.918403i
$691$	−11.1927	−	6.46213i	−0.425792	−	0.245831i	0.271760	−	0.962365i	$-0.412394\pi$
$691$	−11.1927	−	6.46213i	−0.425792	−	0.245831i	−0.697552	+	0.716534i	$0.745728\pi$
$692$	−17.7919	+	10.8949i	−0.676346	+	0.414162i
$693$	−0.282347	+	1.05373i	−0.0107255	+	0.0400280i
$694$	−1.89010	+	2.53030i	−0.0717473	+	0.0960487i
$695$	−19.9427	+	8.99863i	−0.756469	+	0.341338i
$696$	−32.2763	+	5.52985i	−1.22343	+	0.209609i
$697$	−50.2913	+	50.2913i	−1.90492	+	1.90492i
$698$	3.26938	+	4.14857i	0.123748	+	0.157026i
$699$	−5.34531	+	9.25835i	−0.202178	+	0.350183i
$700$	−10.1641	+	3.71018i	−0.384166	+	0.140231i
$701$	−13.8135			−0.521729			−0.260865	−	0.965375i	$-0.584008\pi$
$701$	−13.8135			−0.521729			−0.260865	+	0.965375i	$0.584008\pi$
$702$	−9.85393	+	11.0398i	−0.371913	+	0.416672i
$703$	14.3182	−	14.3182i	0.540022	−	0.540022i
$704$	−1.85964	+	0.656489i	−0.0700877	+	0.0247424i
$705$	41.3117	+	29.7007i	1.55589	+	1.11859i
$706$	18.6942	+	2.21570i	0.703567	+	0.0833888i
$707$	1.34865	+	1.34865i	0.0507211	+	0.0507211i
$708$	−53.6829	+	1.38825i	−2.01753	+	0.0521735i
$709$	−13.8539	+	7.99857i	−0.520295	+	0.300393i	−0.737056	−	0.675832i	$-0.763784\pi$
$709$	−13.8539	+	7.99857i	−0.520295	+	0.300393i	0.216760	+	0.976225i	$0.430451\pi$
$710$	−1.30497	−	29.5720i	−0.0489748	−	1.10982i
$711$	54.4279	−	31.4239i	2.04120	−	1.17849i
$712$	0.396518	−	4.29227i	0.0148601	−	0.160860i
$713$	2.44169	−	0.654248i	0.0914418	−	0.0245018i
$714$	−19.6765	−	14.6981i	−0.736374	−	0.550063i
$715$	−1.95287	−	0.369210i	−0.0730330	−	0.0138077i
$716$	5.13325	−	1.51872i	0.191839	−	0.0567572i
$717$	−9.51839	−	35.5231i	−0.355471	−	1.32664i
$718$	25.7561	+	10.2805i	0.961208	+	0.383664i
$719$	6.69228	+	11.5914i	0.249580	+	0.432285i	0.963409	−	0.268035i	$-0.0863742\pi$
$719$	6.69228	+	11.5914i	0.249580	+	0.432285i	−0.713829	+	0.700320i	$0.753041\pi$
$720$	−32.5218	+	16.7489i	−1.21202	+	0.624196i
$721$	−4.85167	−	8.40334i	−0.180686	−	0.312957i
$722$	3.77225	−	2.97281i	0.140389	−	0.110637i
$723$	−9.01594	+	9.01594i	−0.335306	+	0.335306i
$724$	17.3606	+	16.4853i	0.645201	+	0.612672i
$725$	−16.3008	−	14.3852i	−0.605398	−	0.534253i
$726$	37.8503	−	16.2545i	1.40476	−	0.603260i
$727$	34.3031	+	34.3031i	1.27223	+	1.27223i	0.944915	+	0.327317i	$0.106144\pi$
$727$	34.3031	+	34.3031i	1.27223	+	1.27223i	0.327317	+	0.944915i	$0.393856\pi$
$728$	−6.28637	−	9.06855i	−0.232988	−	0.336103i
$729$		−	41.7600i		−	1.54667i
$730$	−14.5783	+	4.60399i	−0.539565	+	0.170401i
$731$	10.4400	+	6.02752i	0.386136	+	0.222936i
$732$	28.9168	−	0.747793i	1.06880	−	0.0276392i
$733$	−25.4810	−	25.4810i	−0.941161	−	0.941161i	0.0572021	−	0.998363i	$-0.481782\pi$
$733$	−25.4810	−	25.4810i	−0.941161	−	0.941161i	−0.998363	+	0.0572021i	$0.981782\pi$
$734$	−16.4043	−	1.94429i	−0.605494	−	0.0717649i
$735$	32.4636	+	12.2760i	1.19744	+	0.452807i
$736$	−16.1875	−	1.07422i	−0.596681	−	0.0395963i
$737$	−3.09944	−	0.830492i	−0.114169	−	0.0305916i
$738$	−25.2991	+	63.3828i	−0.931274	+	2.33315i
$739$	−22.9546	+	39.7586i	−0.844399	+	1.46254i	0.0417423	+	0.999128i	$0.486709\pi$
$739$	−22.9546	+	39.7586i	−0.844399	+	1.46254i	−0.886142	+	0.463414i	$0.846624\pi$
$740$	18.9532	+	12.8963i	0.696734	+	0.474079i
$741$	−35.6382	−	12.9657i	−1.30920	−	0.476306i
$742$	−0.935789	+	0.135527i	−0.0343539	+	0.00497537i
$743$	6.12949	+	22.8756i	0.224869	+	0.839224i	0.982457	+	0.186490i	$0.0597112\pi$
$743$	6.12949	+	22.8756i	0.224869	+	0.839224i	−0.757588	+	0.652734i	$0.773622\pi$
$744$	4.24224	+	5.10581i	0.155528	+	0.187188i
$745$	−2.08757	−	4.62645i	−0.0764826	−	0.169500i
$746$	4.99735	−	6.69000i	0.182966	−	0.244938i
$747$	16.2834	−	60.7705i	0.595779	−	2.22348i
$748$	−0.0768284	−	2.97092i	−0.00280912	−	0.108628i
$749$			12.7774i			0.466876i
$750$	−38.4905	−	17.0575i	−1.40547	−	0.622853i
$751$	32.5336	+	18.7833i	1.18717	+	0.685413i	0.957662	−	0.287894i	$-0.0929551\pi$
$751$	32.5336	+	18.7833i	1.18717	+	0.685413i	0.229507	+	0.973307i	$0.426288\pi$
$752$	−22.8890	+	25.3875i	−0.834676	+	0.925789i
$753$	27.2409	+	27.2409i	0.992713	+	0.992713i
$754$	9.97967	−	19.7981i	0.363438	−	0.721003i
$755$	−5.69798	−	0.570132i	−0.207371	−	0.0207492i
$756$	−6.10621	−	1.46807i	−0.222081	−	0.0533933i
$757$	−0.149712	−	0.558734i	−0.00544138	−	0.0203075i	0.963152	−	0.268959i	$-0.0866795\pi$
$757$	−0.149712	−	0.558734i	−0.00544138	−	0.0203075i	−0.968593	+	0.248651i	$0.920013\pi$
$758$	3.16125	−	2.49130i	0.114822	−	0.0904880i
$759$	−1.88245			−0.0683284
$760$	−18.8573	−	16.3877i	−0.684026	−	0.594445i
$761$	−17.4636	−	30.2478i	−0.633055	−	1.09648i	−0.986924	−	0.161188i	$-0.948467\pi$
$761$	−17.4636	−	30.2478i	−0.633055	−	1.09648i	0.353869	−	0.935295i	$-0.384866\pi$
$762$	10.6082	+	73.2476i	0.384295	+	2.65348i
$763$	−15.6505	−	4.19354i	−0.566586	−	0.151816i
$764$	25.0247	+	6.01652i	0.905363	+	0.217670i
$765$	−8.89551	−	54.4045i	−0.321618	−	1.96700i
$766$	−15.0698	−	11.2570i	−0.544495	−	0.406732i
$767$	20.8501	−	29.7858i	0.752854	−	1.07550i
$768$	−15.2158	−	39.7932i	−0.549051	−	1.43591i
$769$	2.42207	+	1.39838i	0.0873422	+	0.0504270i	0.543035	−	0.839710i	$-0.317275\pi$
$769$	2.42207	+	1.39838i	0.0873422	+	0.0504270i	−0.455693	+	0.890137i	$0.650608\pi$
$770$	−0.254013	−	0.804318i	−0.00915400	−	0.0289856i
$771$	24.5139	−	14.1531i	0.882845	−	0.509711i
$772$	−11.0822	−	6.02183i	−0.398858	−	0.216730i
$773$	0.651555	−	2.43164i	0.0234348	−	0.0874599i	−0.953218	−	0.302284i	$-0.902251\pi$
$773$	0.651555	−	2.43164i	0.0234348	−	0.0874599i	0.976653	+	0.214824i	$0.0689177\pi$
$774$	11.4869	+	1.36146i	0.412889	+	0.0489368i
$775$	−0.873201	+	4.31976i	−0.0313663	+	0.155170i
$776$	6.17435	+	36.0380i	0.221646	+	1.29369i
$777$	3.82239	+	14.2653i	0.137127	+	0.511766i
$778$	−12.0791	+	30.2622i	−0.433056	+	1.08495i
$779$	−46.6079			−1.66990
$780$	6.88268	−	42.3793i	0.246439	−	1.51742i
$781$	2.30751			0.0825693
$782$	9.06300	−	22.7059i	0.324092	−	0.811960i
$783$	−3.26596	−	12.1887i	−0.116716	−	0.435589i
$784$	−10.5992	+	20.7687i	−0.378544	+	0.741741i
$785$	6.36756	+	7.78349i	0.227268	+	0.277805i
$786$	−60.1731	−	7.13189i	−2.14630	−	0.254386i
$787$	8.45975	−	31.5722i	0.301557	−	1.12543i	−0.634311	−	0.773078i	$-0.718716\pi$
$787$	8.45975	−	31.5722i	0.301557	−	1.12543i	0.935868	−	0.352350i	$-0.114617\pi$
$788$	−22.4209	+	41.2621i	−0.798710	+	1.46990i
$789$	−11.7262	+	6.77011i	−0.417463	+	0.241022i
$790$	−22.4177	+	43.1132i	−0.797588	+	1.53390i
$791$	−3.63787	−	2.10033i	−0.129348	−	0.0746790i
$792$	−1.19262	−	2.59032i	−0.0423779	−	0.0920430i
$793$	−11.2311	+	16.0444i	−0.398829	+	0.569753i
$794$	23.7695	+	17.7556i	0.843549	+	0.630122i
$795$	−2.98724	−	2.14765i	−0.105947	−	0.0761694i
$796$	−3.11868	+	12.9716i	−0.110539	+	0.459767i
$797$	−38.1918	−	10.2335i	−1.35282	−	0.362488i	−0.491647	−	0.870795i	$-0.663605\pi$
$797$	−38.1918	−	10.2335i	−1.35282	−	0.362488i	−0.861176	+	0.508307i	$0.830272\pi$
$798$	−2.30687	−	15.9285i	−0.0816624	−	0.563862i
$799$	−25.7559	−	44.6105i	−0.911178	−	1.57821i
$800$	14.2380	−	24.4393i	0.503389	−	0.864060i
$801$	6.23307			0.220235
$802$	−1.12858	+	0.889401i	−0.0398515	+	0.0314058i
$803$	−0.308452	−	1.15116i	−0.0108850	−	0.0406235i
$804$	16.2040	−	67.3978i	0.571471	−	2.37694i
$805$	0.690823	−	6.90418i	0.0243483	−	0.243340i
$806$	−4.48719	+	0.254689i	−0.158054	+	0.00897104i
$807$	4.21645	+	4.21645i	0.148426	+	0.148426i
$808$	−4.96459	−	0.458626i	−0.174653	−	0.0161344i
$809$	−22.6441	−	13.0736i	−0.796125	−	0.459643i	0.0459892	−	0.998942i	$-0.485356\pi$
$809$	−22.6441	−	13.0736i	−0.796125	−	0.459643i	−0.842115	+	0.539299i	$0.818689\pi$
$810$	7.72349	+	12.1110i	0.271376	+	0.425536i
$811$			35.8917i			1.26033i	0.776461	+	0.630165i	$0.217013\pi$
$811$			35.8917i			1.26033i	−0.776461	+	0.630165i	$0.782987\pi$
$812$	9.40623	−	0.243246i	0.330094	−	0.00853627i
$813$	13.3891	−	49.9688i	0.469576	−	1.75248i
$814$	−1.06949	+	1.43173i	−0.0374855	+	0.0501822i
$815$	−11.8852	+	31.4302i	−0.416321	+	1.10095i
$816$	64.1157	−	3.31830i	2.24450	−	0.116164i
$817$	2.04464	+	7.63069i	0.0715328	+	0.266964i
$818$	−5.11389	+	0.740629i	−0.178803	+	0.0258955i
$819$	12.2214	−	10.2578i	0.427049	−	0.358437i
$820$	−9.85799	−	51.8375i	−0.344256	−	1.81024i
$821$	−13.6914	+	23.7141i	−0.477832	+	0.827629i	−0.999677	−	0.0254113i	$-0.991910\pi$
$821$	−13.6914	+	23.7141i	−0.477832	+	0.827629i	0.521845	+	0.853040i	$0.325244\pi$
$822$	−10.9155	+	27.3471i	−0.380723	+	0.953840i
$823$	−17.2474	−	4.62143i	−0.601207	−	0.161093i	−0.0546370	−	0.998506i	$-0.517400\pi$
$823$	−17.2474	−	4.62143i	−0.601207	−	0.161093i	−0.546570	+	0.837413i	$0.684067\pi$
$824$	23.7930	+	8.79091i	0.828869	+	0.306246i
$825$	1.46070	−	2.93897i	0.0508550	−	0.102322i
$826$	15.3231	+	1.81614i	0.533159	+	0.0631916i
$827$	4.36878	+	4.36878i	0.151917	+	0.151917i	0.778974	−	0.627056i	$-0.215740\pi$
$827$	4.36878	+	4.36878i	0.151917	+	0.151917i	−0.627056	+	0.778974i	$0.715740\pi$
$828$	−0.606443	−	23.4509i	−0.0210753	−	0.814974i
$829$	−30.5354	−	17.6296i	−1.06054	−	0.612303i	−0.134958	−	0.990851i	$-0.543090\pi$
$829$	−30.5354	−	17.6296i	−1.06054	−	0.612303i	−0.925581	+	0.378548i	$0.876423\pi$
$830$	14.6494	+	46.3864i	0.508488	+	1.61009i
$831$		−	12.4281i		−	0.431127i
$832$	27.7889	+	7.73165i	0.963406	+	0.268047i
$833$	−24.8464	−	24.8464i	−0.860876	−	0.860876i
$834$	33.8550	−	14.5387i	1.17230	−	0.503435i
$835$	−0.0429035	−	0.262396i	−0.00148474	−	0.00908059i
$836$	1.34106	−	1.41226i	0.0463816	−	0.0488442i
$837$	−1.80878	+	1.80878i	−0.0625204	+	0.0625204i
$838$	6.59949	−	5.20088i	0.227976	−	0.179661i
$839$	−6.82002	−	11.8126i	−0.235453	−	0.407817i	0.723951	−	0.689851i	$-0.242324\pi$
$839$	−6.82002	−	11.8126i	−0.235453	−	0.407817i	−0.959404	+	0.282034i	$0.908991\pi$
$840$	17.2278	−	5.93473i	0.594415	−	0.204768i
$841$	−5.04697	−	8.74162i	−0.174034	−	0.301435i
$842$	−4.32014	−	1.72438i	−0.148882	−	0.0594260i
$843$	20.4734	+	76.4078i	0.705141	+	2.63162i
$844$	13.6535	+	46.1486i	0.469973	+	1.58850i
$845$	20.3028	+	20.8037i	0.698439	+	0.715670i
$846$	−39.5994	−	29.5803i	−1.36146	−	1.01699i
$847$	−11.4330	+	3.06347i	−0.392843	+	0.105262i
$848$	1.65510	−	1.83577i	0.0568365	−	0.0630407i
$849$	−8.77242	+	5.06476i	−0.301069	+	0.173822i
$850$	28.4171	+	31.7685i	0.974698	+	1.08965i
$851$	−12.7315	+	7.35051i	−0.436429	+	0.251972i
$852$	1.28866	+	49.8320i	0.0441488	+	1.70721i
$853$	−2.95428	−	2.95428i	−0.101153	−	0.101153i	0.654719	−	0.755872i	$-0.272787\pi$
$853$	−2.95428	−	2.95428i	−0.101153	−	0.101153i	−0.755872	+	0.654719i	$0.772787\pi$
$854$	−8.25394	−	0.978281i	−0.282444	−	0.0334761i
$855$	21.0879	−	29.3319i	0.721192	−	1.00313i
$856$	−21.3452	−	25.6904i	−0.729565	−	0.878079i
$857$	32.5555	−	32.5555i	1.11207	−	1.11207i	0.119204	−	0.992870i	$-0.461966\pi$
$857$	32.5555	−	32.5555i	1.11207	−	1.11207i	0.992870	−	0.119204i	$-0.0380341\pi$
$858$	3.27680	+	0.681660i	0.111868	+	0.0232715i
$859$	−38.9402			−1.32862			−0.664310	−	0.747457i	$-0.731275\pi$
$859$	−38.9402			−1.32862			−0.664310	+	0.747457i	$0.731275\pi$
$860$	−8.05443	+	3.88801i	−0.274654	+	0.132580i
$861$	16.9967	−	29.4391i	0.579245	−	1.00328i
$862$	2.39873	+	3.04380i	0.0817011	+	0.103672i
$863$	23.0099	−	23.0099i	0.783267	−	0.783267i	−0.197114	−	0.980381i	$-0.563157\pi$
$863$	23.0099	−	23.0099i	0.783267	−	0.783267i	0.980381	+	0.197114i	$0.0631569\pi$
$864$	14.7297	−	7.24898i	0.501114	−	0.246615i
$865$	21.8174	+	8.25015i	0.741813	+	0.280514i
$866$	−3.59720	+	4.81560i	−0.122238	+	0.163641i
$867$	−13.3250	+	49.7297i	−0.452542	+	1.68891i
$868$	−0.996094	−	1.62667i	−0.0338096	−	0.0552127i
$869$	−3.28056	−	1.89404i	−0.111286	−	0.0642507i
$870$	27.0046	+	24.7220i	0.915541	+	0.838153i
$871$	30.1723	+	35.9478i	1.02235	+	1.21805i
$872$	38.4726	−	17.7133i	1.30285	−	0.599849i
$873$	−51.0689	+	13.6839i	−1.72842	+	0.463129i
$874$	14.7210	−	6.32182i	0.497946	−	0.213839i
$875$	10.2431	+	6.43591i	0.346281	+	0.217573i
$876$	24.6876	−	7.30407i	0.834118	−	0.246782i
$877$	−6.50600	−	1.74328i	−0.219692	−	0.0588663i	0.147294	−	0.989093i	$-0.452944\pi$
$877$	−6.50600	−	1.74328i	−0.219692	−	0.0588663i	−0.366986	+	0.930226i	$0.619610\pi$
$878$	−29.2824	+	23.0767i	−0.988233	+	0.778800i
$879$	19.5377			0.658991
$880$	1.85437	+	1.19283i	0.0625109	+	0.0402102i
$881$	−16.6633	+	28.8616i	−0.561400	+	0.972374i	0.435974	+	0.899959i	$0.356404\pi$
$881$	−16.6633	+	28.8616i	−0.561400	+	0.972374i	−0.997375	+	0.0724146i	$0.976930\pi$
$882$	−31.3142	−	12.4990i	−1.05440	−	0.420863i
$883$	11.4582	−	11.4582i	0.385600	−	0.385600i	−0.487515	−	0.873115i	$-0.662096\pi$
$883$	11.4582	−	11.4582i	0.385600	−	0.385600i	0.873115	+	0.487515i	$0.162096\pi$
$884$	−23.9982	+	36.2426i	−0.807147	+	1.21897i
$885$	38.0165	+	46.4701i	1.27791	+	1.56208i
$886$	−49.4753	+	21.2467i	−1.66216	+	0.713798i
$887$	−47.5798	+	12.7490i	−1.59757	+	0.428068i	−0.944309	−	0.329061i	$-0.893268\pi$
$887$	−47.5798	+	12.7490i	−1.59757	+	0.428068i	−0.653265	+	0.757130i	$0.726601\pi$
$888$	−31.5163	−	22.2966i	−1.05762	−	0.748224i
$889$		−	21.2665i		−	0.713254i
$890$	−4.06338	+	2.59133i	−0.136205	+	0.0868614i
$891$	−0.969732	+	0.559875i	−0.0324872	+	0.0187565i
$892$	13.5901	−	25.0104i	0.455030	−	0.837411i
$893$	8.73684	−	32.6063i	0.292367	−	1.09113i
$894$	3.37280	+	7.85394i	0.112803	+	0.262675i
$895$	−4.85952	−	3.49371i	−0.162436	−	0.116782i
$896$	2.68806	+	11.9427i	0.0898019	+	0.398979i
$897$	22.5558	+	15.7891i	0.753117	+	0.527183i
$898$	8.54197	−	1.23711i	0.285049	−	0.0412828i
$899$	1.91627	−	3.31907i	0.0639111	−	0.110697i
$900$	37.0834	+	17.2501i	1.23611	+	0.575004i
$901$	1.86241	+	3.22579i	0.0620458	+	0.107467i
$902$	4.07092	−	0.589579i	0.135547	−	0.0196308i
$903$	−5.56543	−	1.49125i	−0.185206	−	0.0496258i
$904$	10.8230	−	1.85430i	0.359969	−	0.0616730i
$905$	2.66491	−	26.6335i	0.0885847	−	0.885327i
$906$	9.57646	+	1.13503i	0.318157	+	0.0377088i
$907$	−34.9002	+	9.35147i	−1.15884	+	0.310511i	−0.786503	−	0.617587i	$-0.788110\pi$
$907$	−34.9002	+	9.35147i	−1.15884	+	0.310511i	−0.372338	+	0.928097i	$0.621444\pi$
$908$	24.2750	−	14.8649i	0.805595	−	0.493308i
$909$		−	7.20938i		−	0.239120i
$910$	−3.70262	+	11.7680i	−0.122741	+	0.390107i
$911$		−	22.1893i		−	0.735165i	−0.929991	−	0.367582i	$-0.880186\pi$
$911$		−	22.1893i		−	0.735165i	0.929991	−	0.367582i	$-0.119814\pi$
$912$	31.2475	+	28.1722i	1.03471	+	0.932876i
$913$	−3.66286	+	0.981461i	−0.121223	+	0.0324816i
$914$	−0.972762	+	8.20738i	−0.0321761	+	0.271476i
$915$	−20.4780	−	25.0316i	−0.676981	−	0.827519i
$916$	23.5511	−	24.8015i	0.778152	−	0.819466i
$917$	16.8178	+	4.50632i	0.555374	+	0.148812i
$918$	3.54597	+	24.4842i	0.117034	+	0.808098i
$919$	8.37037	+	14.4979i	0.276113	+	0.478242i	0.970415	−	0.241442i	$-0.0776203\pi$
$919$	8.37037	+	14.4979i	0.276113	+	0.478242i	−0.694302	+	0.719683i	$0.744287\pi$
$920$	10.1448	+	15.0357i	0.334463	+	0.495711i
$921$	−3.69730	+	6.40391i	−0.121830	+	0.211016i
$922$	−0.272157	−	1.87919i	−0.00896300	−	0.0618877i
$923$	−27.6491	−	19.3544i	−0.910081	−	0.637058i
$924$	0.402983	+	1.36208i	0.0132572	+	0.0448090i
$925$	−1.59693	−	25.5807i	−0.0525066	−	0.841090i
$926$	44.5762	−	19.1429i	1.46487	−	0.629074i
$927$	−9.49297	+	35.4282i	−0.311790	+	1.16362i
$928$	−18.5059	+	16.2026i	−0.607486	+	0.531877i
$929$	−13.9500	+	8.05405i	−0.457685	+	0.264245i	−0.711071	−	0.703121i	$-0.751789\pi$
$929$	−13.9500	+	8.05405i	−0.457685	+	0.264245i	0.253385	+	0.967365i	$0.418456\pi$
$930$	1.60298	−	7.24658i	0.0525637	−	0.237625i
$931$		−	23.0266i		−	0.754666i
$932$	0.207586	+	8.02726i	0.00679970	+	0.262942i
$933$	40.6151	−	10.8828i	1.32968	−	0.356287i
$934$	−12.3585	−	28.7780i	−0.404381	−	0.941646i
$935$	−2.57175	+	2.10391i	−0.0841053	+	0.0688052i
$936$	−7.43625	+	41.0409i	−0.243061	+	1.34146i
$937$	20.3242	−	20.3242i	0.663963	−	0.663963i	−0.292349	−	0.956312i	$-0.594437\pi$
$937$	20.3242	−	20.3242i	0.663963	−	0.663963i	0.956312	+	0.292349i	$0.0944368\pi$
$938$	−7.38372	+	18.4987i	−0.241087	+	0.604004i
$939$	11.4638	−	19.8559i	0.374107	−	0.647972i
$940$	38.1128	+	2.82062i	1.24310	+	0.0919984i
$941$	−4.52633			−0.147554			−0.0737771	−	0.997275i	$-0.523505\pi$
$941$	−4.52633			−0.147554			−0.0737771	+	0.997275i	$0.523505\pi$
$942$	−10.4822	−	13.3011i	−0.341530	−	0.433374i
$943$	32.6849	+	8.75789i	1.06437	+	0.285196i
$944$	−33.8428	+	21.9464i	−1.10149	+	0.714295i
$945$	2.88789	+	6.40010i	0.0939429	+	0.208195i
$946$	−0.275113	−	0.640631i	−0.00894471	−	0.0208287i
$947$	54.3328	−	14.5584i	1.76558	−	0.473085i	0.777742	−	0.628583i	$-0.216365\pi$
$947$	54.3328	−	14.5584i	1.76558	−	0.473085i	0.987836	+	0.155498i	$0.0496981\pi$
$948$	39.0706	−	71.9032i	1.26895	−	2.33531i
$949$	−5.95949	+	16.3806i	−0.193453	+	0.531736i
$950$	−1.55296	+	27.8887i	−0.0503846	+	0.904830i
$951$	−12.4030	−	7.16088i	−0.402195	−	0.232208i
$952$	−18.3694	−	1.69696i	−0.595355	−	0.0549987i
$953$	12.7920	−	47.7403i	0.414372	−	1.54646i	−0.371717	−	0.928346i	$-0.621231\pi$
$953$	12.7920	−	47.7403i	0.414372	−	1.54646i	0.786089	−	0.618113i	$-0.212103\pi$
$954$	2.86343	+	2.13895i	0.0927071	+	0.0692512i
$955$	−11.8353	−	26.2292i	−0.382980	−	0.848757i
$956$	−20.0311	−	19.0212i	−0.647852	−	0.615190i
$957$	−2.01812	+	2.01812i	−0.0652367	+	0.0652367i
$958$	8.76912	−	6.91070i	0.283317	−	0.223275i
$959$	4.23036	−	7.32720i	0.136605	−	0.236608i
$960$	−24.7242	+	40.7123i	−0.797969	+	1.31398i
$961$	30.2231			0.974938
$962$	24.8236	−	8.18490i	0.800344	−	0.263892i
$963$	34.1516	−	34.1516i	1.10052	−	1.10052i
$964$	−2.23877	+	9.31178i	−0.0721059	+	0.299912i
$965$	2.27545	+	13.9165i	0.0732493	+	0.447989i
$966$	−1.37530	+	11.6037i	−0.0442497	+	0.373343i
$967$	−36.1157	−	36.1157i	−1.16140	−	1.16140i	−0.984169	−	0.177234i	$-0.943285\pi$
$967$	−36.1157	−	36.1157i	−1.16140	−	1.16140i	−0.177234	−	0.984169i	$-0.556715\pi$
$968$	17.8697	−	25.2588i	0.574353	−	0.811850i
$969$	−54.9075	+	31.7009i	−1.76388	+	1.01838i
$970$	27.6032	−	30.1519i	0.886287	−	0.968119i
$971$	−16.6858	+	9.63358i	−0.535474	+	0.309156i	−0.743243	−	0.669022i	$-0.766713\pi$
$971$	−16.6858	+	9.63358i	−0.535474	+	0.309156i	0.207769	+	0.978178i	$0.433380\pi$
$972$	−21.7256	−	35.4789i	−0.696849	−	1.13799i
$973$	−10.2262	+	2.74010i	−0.327837	+	0.0878436i
$974$	−9.09084	+	12.1700i	−0.291289	+	0.389951i
$975$	−42.1532	+	22.9637i	−1.34998	+	0.735426i
$976$	18.2297	−	11.8217i	0.583520	−	0.378402i
$977$	9.06729	+	33.8396i	0.290088	+	1.08262i	0.945040	+	0.326954i	$0.106022\pi$
$977$	9.06729	+	33.8396i	0.290088	+	1.08262i	−0.654952	+	0.755671i	$0.727311\pi$
$978$	20.9775	−	52.5556i	0.670786	−	1.68054i
$979$	−0.187845	−	0.325357i	−0.00600355	−	0.0103984i
$980$	25.6103	−	4.87033i	0.818090	−	0.155577i
$981$	30.6224	+	53.0395i	0.977697	+	1.69342i
$982$	−34.8214	−	44.1855i	−1.11120	−	1.41002i
$983$	4.43849	−	4.43849i	0.141566	−	0.141566i	−0.632772	−	0.774338i	$-0.718083\pi$
$983$	4.43849	−	4.43849i	0.141566	−	0.141566i	0.774338	+	0.632772i	$0.218083\pi$
$984$	15.0057	+	87.5844i	0.478365	+	2.79209i
$985$	51.8149	−	8.47210i	1.65096	−	0.269943i
$986$	−14.6262	−	34.0586i	−0.465792	−	1.08465i
$987$	17.4092	+	17.4092i	0.554140	+	0.554140i
$988$	−27.9143	+	5.67378i	−0.888073	+	0.180507i
$989$		−	5.73540i		−	0.182375i
$990$	−1.47086	+	2.82872i	−0.0467471	+	0.0899028i
$991$	30.2823	+	17.4835i	0.961949	+	0.555382i	0.896772	−	0.442492i	$-0.145906\pi$
$991$	30.2823	+	17.4835i	0.961949	+	0.555382i	0.0651768	+	0.997874i	$0.479239\pi$
$992$	4.72018	+	1.60657i	0.149866	+	0.0510087i
$993$	1.35750	+	1.35750i	0.0430788	+	0.0430788i
$994$	1.68586	−	14.2239i	0.0534721	−	0.451155i
$995$	13.5960	−	6.13483i	0.431021	−	0.194487i
$996$	−23.2407	−	78.5533i	−0.736410	−	2.48906i
$997$	−22.3639	−	5.99240i	−0.708273	−	0.189781i	−0.113340	−	0.993556i	$-0.536155\pi$
$997$	−22.3639	−	5.99240i	−0.708273	−	0.189781i	−0.594933	+	0.803775i	$0.702822\pi$
$998$	7.85123	+	3.13380i	0.248526	+	0.0991988i
$999$	7.43826	−	12.8834i	0.235336	−	0.407614i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	260.2.bj.c.243.32	yes	144
4.3	odd	2	inner	260.2.bj.c.243.12	yes	144
5.2	odd	4	inner	260.2.bj.c.87.15	yes	144
13.3	even	3	inner	260.2.bj.c.3.9	✓	144
20.7	even	4	inner	260.2.bj.c.87.9	yes	144
52.3	odd	6	inner	260.2.bj.c.3.15	yes	144
65.42	odd	12	inner	260.2.bj.c.107.12	yes	144
260.107	even	12	inner	260.2.bj.c.107.32	yes	144

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
260.2.bj.c.3.9	✓	144	13.3	even	3	inner
260.2.bj.c.3.15	yes	144	52.3	odd	6	inner
260.2.bj.c.87.9	yes	144	20.7	even	4	inner
260.2.bj.c.87.15	yes	144	5.2	odd	4	inner
260.2.bj.c.107.12	yes	144	65.42	odd	12	inner
260.2.bj.c.107.32	yes	144	260.107	even	12	inner
260.2.bj.c.243.12	yes	144	4.3	odd	2	inner
260.2.bj.c.243.32	yes	144	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 260 = 2^{2} \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	260.bj (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(1.31345 + 0.524261i) q^{2} +(0.689155 + 2.57196i) q^{3} +(1.45030 + 1.37718i) q^{4} +(0.222626 - 2.22496i) q^{5} +(-0.443209 + 3.73944i) q^{6} +(0.280044 - 1.04514i) q^{7} +(1.18289 + 2.56919i) q^{8} +(-3.54197 + 2.04496i) q^{9} +O(q^{10})\)	\(q+(1.31345 + 0.524261i) q^{2} +(0.689155 + 2.57196i) q^{3} +(1.45030 + 1.37718i) q^{4} +(0.222626 - 2.22496i) q^{5} +(-0.443209 + 3.73944i) q^{6} +(0.280044 - 1.04514i) q^{7} +(1.18289 + 2.56919i) q^{8} +(-3.54197 + 2.04496i) q^{9} +(1.45887 - 2.80566i) q^{10} +(0.213488 + 0.123257i) q^{11} +(-2.54257 + 4.67921i) q^{12} +(-1.52422 - 3.26753i) q^{13} +(0.915750 - 1.22592i) q^{14} +(5.87593 - 0.960754i) q^{15} +(0.206743 + 3.99465i) q^{16} +(-5.82248 - 1.56013i) q^{17} +(-5.72429 + 0.829032i) q^{18} +(-1.97509 - 3.42095i) q^{19} +(3.38705 - 2.92026i) q^{20} +2.88105 q^{21} +(0.215786 + 0.273815i) q^{22} +(0.742260 + 2.77015i) q^{23} +(-5.79267 + 4.81293i) q^{24} +(-4.90088 - 0.990668i) q^{25} +(-0.288951 - 5.09083i) q^{26} +(-2.05210 - 2.05210i) q^{27} +(1.84549 - 1.13009i) q^{28} +(3.76557 + 2.17405i) q^{29} +(8.22142 + 1.81862i) q^{30} -0.881426i q^{31} +(-1.82270 + 5.35516i) q^{32} +(-0.169886 + 0.634025i) q^{33} +(-6.82962 - 5.10165i) q^{34} +(-2.26304 - 0.855762i) q^{35} +(-7.95320 - 1.91213i) q^{36} +(1.32673 + 4.95144i) q^{37} +(-0.800705 - 5.52871i) q^{38} +(7.35353 - 6.17207i) q^{39} +(5.97969 - 2.05992i) q^{40} +(5.89948 - 10.2182i) q^{41} +(3.78411 + 1.51042i) q^{42} +(-1.93174 - 0.517607i) q^{43} +(0.139874 + 0.472771i) q^{44} +(3.76141 + 8.33600i) q^{45} +(-0.477362 + 4.02759i) q^{46} +(6.04265 + 6.04265i) q^{47} +(-10.1316 + 3.28467i) q^{48} +(5.04829 + 2.91463i) q^{49} +(-5.91768 - 3.87053i) q^{50} -16.0504i q^{51} +(2.28940 - 6.83803i) q^{52} +(-0.436944 - 0.436944i) q^{53} +(-1.61949 - 3.77117i) q^{54} +(0.321770 - 0.447560i) q^{55} +(3.01643 - 0.516801i) q^{56} +(7.43741 - 7.43741i) q^{57} +(3.80612 + 4.82965i) q^{58} +(5.04198 + 8.73296i) q^{59} +(9.84499 + 6.69884i) q^{60} +(-2.71591 - 4.70409i) q^{61} +(0.462098 - 1.15771i) q^{62} +(1.14536 + 4.27453i) q^{63} +(-5.20152 + 6.07817i) q^{64} +(-7.60945 + 2.66389i) q^{65} +(-0.555532 + 0.743695i) q^{66} +(-12.5731 + 3.36894i) q^{67} +(-6.29577 - 10.2813i) q^{68} +(-6.61319 + 3.81813i) q^{69} +(-2.52375 - 2.31043i) q^{70} +(8.10650 - 4.68029i) q^{71} +(-9.44367 - 6.68105i) q^{72} +(-3.41850 - 3.41850i) q^{73} +(-0.853249 + 7.19902i) q^{74} +(-0.829502 - 13.2876i) q^{75} +(1.84680 - 7.68146i) q^{76} +(0.188607 - 0.188607i) q^{77} +(12.8943 - 4.25154i) q^{78} -15.3665 q^{79} +(8.93396 + 0.429321i) q^{80} +(-2.27117 + 3.93378i) q^{81} +(13.1057 - 10.3282i) q^{82} +(-10.8773 + 10.8773i) q^{83} +(4.17839 + 3.96773i) q^{84} +(-4.76746 + 12.6075i) q^{85} +(-2.26588 - 1.69259i) q^{86} +(-2.99652 + 11.1832i) q^{87} +(-0.0641383 + 0.694291i) q^{88} +(-1.31983 - 0.762004i) q^{89} +(0.570182 + 12.9209i) q^{90} +(-3.84187 + 0.677972i) q^{91} +(-2.73850 + 5.03978i) q^{92} +(2.26699 - 0.607439i) q^{93} +(4.76879 + 11.1046i) q^{94} +(-8.05118 + 3.63289i) q^{95} +(-15.0294 - 0.997365i) q^{96} +(12.4865 + 3.34576i) q^{97} +(5.10264 + 6.47484i) q^{98} -1.00822 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 144 q - 6 q^{2} - 24 q^{5} - 4 q^{6} - 24 q^{8}+O(q^{10}) \) 144 * q - 6 * q^2 - 24 * q^5 - 4 * q^6 - 24 * q^8	\( 144 q - 6 q^{2} - 24 q^{5} - 4 q^{6} - 24 q^{8} - 16 q^{10} + 20 q^{12} - 12 q^{13} - 28 q^{16} - 4 q^{18} + 30 q^{20} - 32 q^{21} - 28 q^{22} - 24 q^{25} - 12 q^{26} + 14 q^{28} - 4 q^{30} + 4 q^{32} - 28 q^{33} + 4 q^{36} + 20 q^{40} + 24 q^{41} - 56 q^{42} - 4 q^{46} + 12 q^{48} + 20 q^{50} - 2 q^{52} + 24 q^{53} - 20 q^{56} - 24 q^{57} - 42 q^{58} + 88 q^{60} - 32 q^{61} - 128 q^{66} - 32 q^{68} + 108 q^{70} + 2 q^{72} - 8 q^{73} + 60 q^{76} - 72 q^{77} - 120 q^{78} - 64 q^{80} - 32 q^{81} - 42 q^{82} - 48 q^{85} - 24 q^{86} - 42 q^{88} - 56 q^{90} - 84 q^{92} + 8 q^{93} + 160 q^{96} + 68 q^{97} + 98 q^{98}+O(q^{100}) \) 144 * q - 6 * q^2 - 24 * q^5 - 4 * q^6 - 24 * q^8 - 16 * q^10 + 20 * q^12 - 12 * q^13 - 28 * q^16 - 4 * q^18 + 30 * q^20 - 32 * q^21 - 28 * q^22 - 24 * q^25 - 12 * q^26 + 14 * q^28 - 4 * q^30 + 4 * q^32 - 28 * q^33 + 4 * q^36 + 20 * q^40 + 24 * q^41 - 56 * q^42 - 4 * q^46 + 12 * q^48 + 20 * q^50 - 2 * q^52 + 24 * q^53 - 20 * q^56 - 24 * q^57 - 42 * q^58 + 88 * q^60 - 32 * q^61 - 128 * q^66 - 32 * q^68 + 108 * q^70 + 2 * q^72 - 8 * q^73 + 60 * q^76 - 72 * q^77 - 120 * q^78 - 64 * q^80 - 32 * q^81 - 42 * q^82 - 48 * q^85 - 24 * q^86 - 42 * q^88 - 56 * q^90 - 84 * q^92 + 8 * q^93 + 160 * q^96 + 68 * q^97 + 98 * q^98

Introduction

L-functions

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