LMFDB - Embedded newform 378.2.z.a.209.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [378,2,Mod(41,378)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(378, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([17, 9]))

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

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

chi := DirichletCharacter("378.41");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 378 = 2 \cdot 3^{3} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	378.z (of order $18$, degree $6$, 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:	$3.01834519640$
Analytic rank:	$0$
Dimension:	$144$
Relative dimension:	$24$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			209.10
Character	$\chi$	$=$	378.209
Dual form			378.2.z.a.293.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.342020 - 0.939693i) q^{2} +(1.51073 + 0.847176i) q^{3} +(-0.766044 + 0.642788i) q^{4} +(-0.0403307 - 0.228727i) q^{5} +(0.279386 - 1.70937i) q^{6} +(1.82631 - 1.91431i) q^{7} +(0.866025 + 0.500000i) q^{8} +(1.56459 + 2.55970i) q^{9} +O(q^{10})$	\(q+(-0.342020 - 0.939693i) q^{2} +(1.51073 + 0.847176i) q^{3} +(-0.766044 + 0.642788i) q^{4} +(-0.0403307 - 0.228727i) q^{5} +(0.279386 - 1.70937i) q^{6} +(1.82631 - 1.91431i) q^{7} +(0.866025 + 0.500000i) q^{8} +(1.56459 + 2.55970i) q^{9} +(-0.201139 + 0.116128i) q^{10} +(2.79124 + 0.492170i) q^{11} +(-1.70184 + 0.322102i) q^{12} +(-1.29637 + 3.56176i) q^{13} +(-2.42350 - 1.06144i) q^{14} +(0.132843 - 0.379711i) q^{15} +(0.173648 - 0.984808i) q^{16} +(-3.85643 - 6.67954i) q^{17} +(1.87021 - 2.34570i) q^{18} +(2.59561 + 1.49858i) q^{19} +(0.177918 + 0.149291i) q^{20} +(4.38082 - 1.34479i) q^{21} +(-0.492170 - 2.79124i) q^{22} +(2.84435 + 3.38977i) q^{23} +(0.884739 + 1.48904i) q^{24} +(4.64777 - 1.69165i) q^{25} +3.79034 q^{26} +(0.195145 + 5.19249i) q^{27} +(-0.168543 + 2.64038i) q^{28} +(-2.66269 - 7.31569i) q^{29} +(-0.402246 + 0.00503698i) q^{30} +(0.0308608 + 0.0367785i) q^{31} +(-0.984808 + 0.173648i) q^{32} +(3.79984 + 3.10820i) q^{33} +(-4.95773 + 5.90840i) q^{34} +(-0.511510 - 0.340521i) q^{35} +(-2.84389 - 0.955148i) q^{36} +(5.34059 + 9.25018i) q^{37} +(0.520451 - 2.95162i) q^{38} +(-4.97590 + 4.28259i) q^{39} +(0.0794360 - 0.218249i) q^{40} +(-5.22070 - 1.90018i) q^{41} +(-2.76201 - 3.65668i) q^{42} +(-0.0109641 + 0.0621803i) q^{43} +(-2.45457 + 1.41715i) q^{44} +(0.522371 - 0.461097i) q^{45} +(2.21251 - 3.83219i) q^{46} +(-7.18503 - 6.02896i) q^{47} +(1.09664 - 1.34066i) q^{48} +(-0.329158 - 6.99226i) q^{49} +(-3.17926 - 3.78890i) q^{50} +(-0.167271 - 13.3580i) q^{51} +(-1.29637 - 3.56176i) q^{52} +10.8990i q^{53} +(4.81260 - 1.95931i) q^{54} -0.658280i q^{55} +(2.53879 - 0.744683i) q^{56} +(2.65170 + 4.46288i) q^{57} +(-5.96381 + 5.00423i) q^{58} +(-1.35054 - 7.65930i) q^{59} +(0.142310 + 0.376265i) q^{60} +(-5.20479 + 6.20283i) q^{61} +(0.0240055 - 0.0415787i) q^{62} +(7.75748 + 1.67972i) q^{63} +(0.500000 + 0.866025i) q^{64} +(0.866953 + 0.152867i) q^{65} +(1.62113 - 4.63375i) q^{66} +(-13.8031 - 5.02391i) q^{67} +(7.24772 + 2.63795i) q^{68} +(1.42531 + 7.53068i) q^{69} +(-0.145039 + 0.597128i) q^{70} +(-6.22537 + 3.59422i) q^{71} +(0.0751210 + 2.99906i) q^{72} +(-7.95952 - 4.59543i) q^{73} +(6.86573 - 8.18226i) q^{74} +(8.45464 + 1.38186i) q^{75} +(-2.95162 + 0.520451i) q^{76} +(6.03984 - 4.44443i) q^{77} +(5.72617 + 3.21109i) q^{78} +(-9.36609 + 3.40898i) q^{79} -0.232255 q^{80} +(-4.10414 + 8.00975i) q^{81} +5.55575i q^{82} +(-3.51367 + 1.27887i) q^{83} +(-2.49149 + 3.84610i) q^{84} +(-1.37226 + 1.15146i) q^{85} +(0.0621803 - 0.0109641i) q^{86} +(2.17508 - 13.3078i) q^{87} +(2.17120 + 1.82185i) q^{88} +(-2.75214 + 4.76685i) q^{89} +(-0.611951 - 0.333164i) q^{90} +(4.45072 + 8.98655i) q^{91} +(-4.35780 - 0.768398i) q^{92} +(0.0154644 + 0.0817068i) q^{93} +(-3.20794 + 8.81375i) q^{94} +(0.238082 - 0.654125i) q^{95} +(-1.63489 - 0.571970i) q^{96} +(9.53501 + 1.68128i) q^{97} +(-6.45799 + 2.70080i) q^{98} +(3.10732 + 7.91477i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 144 q - 12 q^{9}+O(q^{10}) $ 144 * q - 12 * q^9	$ 144 q - 12 q^{9} + 12 q^{11} + 6 q^{14} + 12 q^{15} + 24 q^{21} - 60 q^{23} + 12 q^{29} - 72 q^{30} + 54 q^{35} - 12 q^{36} + 48 q^{39} + 24 q^{42} + 18 q^{49} - 60 q^{50} - 36 q^{51} + 6 q^{56} - 60 q^{57} - 36 q^{60} - 78 q^{63} + 72 q^{64} - 120 q^{65} + 36 q^{70} - 72 q^{71} - 24 q^{72} - 36 q^{74} + 66 q^{77} - 60 q^{78} - 72 q^{79} + 12 q^{84} - 72 q^{85} - 48 q^{86} - 18 q^{91} + 12 q^{92} + 24 q^{93} - 120 q^{95} + 36 q^{98} + 144 q^{99}+O(q^{100}) $ 144 * q - 12 * q^9 + 12 * q^11 + 6 * q^14 + 12 * q^15 + 24 * q^21 - 60 * q^23 + 12 * q^29 - 72 * q^30 + 54 * q^35 - 12 * q^36 + 48 * q^39 + 24 * q^42 + 18 * q^49 - 60 * q^50 - 36 * q^51 + 6 * q^56 - 60 * q^57 - 36 * q^60 - 78 * q^63 + 72 * q^64 - 120 * q^65 + 36 * q^70 - 72 * q^71 - 24 * q^72 - 36 * q^74 + 66 * q^77 - 60 * q^78 - 72 * q^79 + 12 * q^84 - 72 * q^85 - 48 * q^86 - 18 * q^91 + 12 * q^92 + 24 * q^93 - 120 * q^95 + 36 * q^98 + 144 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/378\mathbb{Z}\right)^\times$.

$n$	$29$	$325$
$\chi(n)$	$e\left(\frac{7}{18}\right)$	$-1$

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 $

$2$	−0.342020	−	0.939693i	−0.241845	−	0.664463i
$2$	−0.342020	−	0.939693i	−0.241845	−	0.664463i
$3$	1.51073	+	0.847176i	0.872218	+	0.489117i
$3$	1.51073	+	0.847176i	0.872218	+	0.489117i
$4$	−0.766044	+	0.642788i	−0.383022	+	0.321394i
$5$	−0.0403307	−	0.228727i	−0.0180364	−	0.102290i	0.974461	−	0.224559i	$-0.0720941\pi$
$5$	−0.0403307	−	0.228727i	−0.0180364	−	0.102290i	−0.992497	+	0.122269i	$0.960983\pi$
$6$	0.279386	−	1.70937i	0.114059	−	0.697847i
$7$	1.82631	−	1.91431i	0.690282	−	0.723541i
$7$	1.82631	−	1.91431i	0.690282	−	0.723541i
$8$	0.866025	+	0.500000i	0.306186	+	0.176777i
$9$	1.56459	+	2.55970i	0.521529	+	0.853234i
$10$	−0.201139	+	0.116128i	−0.0636057	+	0.0367228i
$11$	2.79124	+	0.492170i	0.841589	+	0.148395i	0.577793	−	0.816183i	$-0.303914\pi$
$11$	2.79124	+	0.492170i	0.841589	+	0.148395i	0.263797	+	0.964578i	$0.415025\pi$
$12$	−1.70184	+	0.322102i	−0.491278	+	0.0929827i
$13$	−1.29637	+	3.56176i	−0.359550	+	0.987854i	0.619636	+	0.784889i	$0.287280\pi$
$13$	−1.29637	+	3.56176i	−0.359550	+	0.987854i	−0.979186	+	0.202965i	$0.934942\pi$
$14$	−2.42350	−	1.06144i	−0.647707	−	0.283682i
$15$	0.132843	−	0.379711i	0.0343000	−	0.0980409i
$16$	0.173648	−	0.984808i	0.0434120	−	0.246202i
$17$	−3.85643	−	6.67954i	−0.935322	−	1.62003i	−0.774058	−	0.633114i	$-0.781776\pi$
$17$	−3.85643	−	6.67954i	−0.935322	−	1.62003i	−0.161264	−	0.986911i	$-0.551557\pi$
$18$	1.87021	−	2.34570i	0.440813	−	0.552887i
$19$	2.59561	+	1.49858i	0.595475	+	0.343798i	0.767259	−	0.641337i	$-0.221620\pi$
$19$	2.59561	+	1.49858i	0.595475	+	0.343798i	−0.171784	+	0.985135i	$0.554953\pi$
$20$	0.177918	+	0.149291i	0.0397836	+	0.0333824i
$21$	4.38082	−	1.34479i	0.955972	−	0.293457i
$22$	−0.492170	−	2.79124i	−0.104931	−	0.595094i
$23$	2.84435	+	3.38977i	0.593088	+	0.706815i	0.976196	−	0.216888i	$-0.0695907\pi$
$23$	2.84435	+	3.38977i	0.593088	+	0.706815i	−0.383108	+	0.923704i	$0.625146\pi$
$24$	0.884739	+	1.48904i	0.180597	+	0.303949i
$25$	4.64777	−	1.69165i	0.929555	−	0.338330i
$26$	3.79034			0.743348
$27$	0.195145	+	5.19249i	0.0375556	+	0.999295i
$28$	−0.168543	+	2.64038i	−0.0318517	+	0.498984i
$29$	−2.66269	−	7.31569i	−0.494450	−	1.35849i	−0.896570	−	0.442903i	$-0.853949\pi$
$29$	−2.66269	−	7.31569i	−0.494450	−	1.35849i	0.402120	−	0.915587i	$-0.368274\pi$
$30$	−0.402246	+	0.00503698i	−0.0734398	+	0.000919622i
$31$	0.0308608	+	0.0367785i	0.00554277	+	0.00660562i	0.768809	−	0.639479i	$-0.220850\pi$
$31$	0.0308608	+	0.0367785i	0.00554277	+	0.00660562i	−0.763266	+	0.646084i	$0.776405\pi$
$32$	−0.984808	+	0.173648i	−0.174091	+	0.0306970i
$33$	3.79984	+	3.10820i	0.661467	+	0.541069i
$34$	−4.95773	+	5.90840i	−0.850244	+	1.01328i
$35$	−0.511510	−	0.340521i	−0.0864610	−	0.0575586i
$36$	−2.84389	−	0.955148i	−0.473981	−	0.159191i
$37$	5.34059	+	9.25018i	0.877988	+	1.52072i	0.853545	+	0.521019i	$0.174448\pi$
$37$	5.34059	+	9.25018i	0.877988	+	1.52072i	0.0244430	+	0.999701i	$0.492219\pi$
$38$	0.520451	−	2.95162i	0.0844283	−	0.478817i
$39$	−4.97590	+	4.28259i	−0.796782	+	0.685762i
$40$	0.0794360	−	0.218249i	0.0125599	−	0.0345081i
$41$	−5.22070	−	1.90018i	−0.815336	−	0.296758i	−0.0995100	−	0.995037i	$-0.531728\pi$
$41$	−5.22070	−	1.90018i	−0.815336	−	0.296758i	−0.715826	+	0.698278i	$0.753950\pi$
$42$	−2.76201	−	3.65668i	−0.426188	−	0.564237i
$43$	−0.0109641	+	0.0621803i	−0.00167201	+	0.00948241i	−0.985632	−	0.168905i	$-0.945977\pi$
$43$	−0.0109641	+	0.0621803i	−0.00167201	+	0.00948241i	0.983960	+	0.178387i	$0.0570880\pi$
$44$	−2.45457	+	1.41715i	−0.370041	+	0.213643i
$45$	0.522371	−	0.461097i	0.0778705	−	0.0687363i
$46$	2.21251	−	3.83219i	0.326217	−	0.565025i
$47$	−7.18503	−	6.02896i	−1.04804	−	0.879414i	−0.0551583	−	0.998478i	$-0.517566\pi$
$47$	−7.18503	−	6.02896i	−1.04804	−	0.879414i	−0.992887	+	0.119064i	$0.962011\pi$
$48$	1.09664	−	1.34066i	0.158286	−	0.193508i
$49$	−0.329158	−	6.99226i	−0.0470225	−	0.998894i
$50$	−3.17926	−	3.78890i	−0.449616	−	0.535831i
$51$	−0.167271	−	13.3580i	−0.0234226	−	1.87050i
$52$	−1.29637	−	3.56176i	−0.179775	−	0.493927i
$53$			10.8990i			1.49710i	0.663080	+	0.748548i	$0.269249\pi$
$53$			10.8990i			1.49710i	−0.663080	+	0.748548i	$0.730751\pi$
$54$	4.81260	−	1.95931i	0.654912	−	0.266628i
$55$		−	0.658280i		−	0.0887625i
$56$	2.53879	−	0.744683i	0.339260	−	0.0995125i
$57$	2.65170	+	4.46288i	0.351227	+	0.591123i
$58$	−5.96381	+	5.00423i	−0.783086	+	0.657087i
$59$	−1.35054	−	7.65930i	−0.175826	−	0.997156i	−0.937187	−	0.348828i	$-0.886580\pi$
$59$	−1.35054	−	7.65930i	−0.175826	−	0.997156i	0.761361	−	0.648328i	$-0.224531\pi$
$60$	0.142310	+	0.376265i	0.0183721	+	0.0485756i
$61$	−5.20479	+	6.20283i	−0.666405	+	0.794191i	−0.988290	−	0.152588i	$-0.951239\pi$
$61$	−5.20479	+	6.20283i	−0.666405	+	0.794191i	0.321884	+	0.946779i	$0.395684\pi$
$62$	0.0240055	−	0.0415787i	0.00304870	−	0.00528050i
$63$	7.75748	+	1.67972i	0.977351	+	0.211624i
$64$	0.500000	+	0.866025i	0.0625000	+	0.108253i
$65$	0.866953	+	0.152867i	0.107532	+	0.0189609i
$66$	1.62113	−	4.63375i	0.199548	−	0.570375i
$67$	−13.8031	−	5.02391i	−1.68631	−	0.613768i	−0.692160	−	0.721745i	$-0.743341\pi$
$67$	−13.8031	−	5.02391i	−1.68631	−	0.613768i	−0.994153	+	0.107977i	$0.965563\pi$
$68$	7.24772	+	2.63795i	0.878915	+	0.319899i
$69$	1.42531	+	7.53068i	0.171587	+	0.906587i
$70$	−0.145039	+	0.597128i	−0.0173354	+	0.0713704i
$71$	−6.22537	+	3.59422i	−0.738816	+	0.426555i	−0.821639	−	0.570009i	$-0.806940\pi$
$71$	−6.22537	+	3.59422i	−0.738816	+	0.426555i	0.0828228	+	0.996564i	$0.473606\pi$
$72$	0.0751210	+	2.99906i	0.00885309	+	0.353443i
$73$	−7.95952	−	4.59543i	−0.931591	−	0.537854i	−0.0442767	−	0.999019i	$-0.514098\pi$
$73$	−7.95952	−	4.59543i	−0.931591	−	0.537854i	−0.887314	+	0.461165i	$0.847432\pi$
$74$	6.86573	−	8.18226i	0.798125	−	0.951169i
$75$	8.45464	+	1.38186i	0.976258	+	0.159563i
$76$	−2.95162	+	0.520451i	−0.338575	+	0.0596998i
$77$	6.03984	−	4.44443i	0.688303	−	0.506490i
$78$	5.72617	+	3.21109i	0.648361	+	0.363584i
$79$	−9.36609	+	3.40898i	−1.05377	+	0.383540i	−0.810083	−	0.586315i	$-0.800578\pi$
$79$	−9.36609	+	3.40898i	−1.05377	+	0.383540i	−0.243684	+	0.969855i	$0.578356\pi$
$80$	−0.232255			−0.0259669
$81$	−4.10414	+	8.00975i	−0.456015	+	0.889972i
$82$			5.55575i			0.613530i
$83$	−3.51367	+	1.27887i	−0.385675	+	0.140374i	−0.527579	−	0.849506i	$-0.676900\pi$
$83$	−3.51367	+	1.27887i	−0.385675	+	0.140374i	0.141903	+	0.989881i	$0.454678\pi$
$84$	−2.49149	+	3.84610i	−0.271843	+	0.419644i
$85$	−1.37226	+	1.15146i	−0.148842	+	0.124893i
$86$	0.0621803	−	0.0109641i	0.00670508	−	0.00118229i
$87$	2.17508	−	13.3078i	0.233193	−	1.42674i
$88$	2.17120	+	1.82185i	0.231450	+	0.194210i
$89$	−2.75214	+	4.76685i	−0.291726	+	0.505285i	−0.974218	−	0.225609i	$-0.927563\pi$
$89$	−2.75214	+	4.76685i	−0.291726	+	0.505285i	0.682492	+	0.730893i	$0.260896\pi$
$90$	−0.611951	−	0.333164i	−0.0645053	−	0.0351186i
$91$	4.45072	+	8.98655i	0.466562	+	0.942046i
$92$	−4.35780	−	0.768398i	−0.454332	−	0.0801110i
$93$	0.0154644	+	0.0817068i	0.00160358	+	0.00847260i
$94$	−3.20794	+	8.81375i	−0.330874	+	0.909069i
$95$	0.238082	−	0.654125i	0.0244267	−	0.0671118i
$96$	−1.63489	−	0.571970i	−0.166860	−	0.0583765i
$97$	9.53501	+	1.68128i	0.968134	+	0.170708i	0.635290	−	0.772274i	$-0.280881\pi$
$97$	9.53501	+	1.68128i	0.968134	+	0.170708i	0.332844	+	0.942982i	$0.391992\pi$
$98$	−6.45799	+	2.70080i	−0.652356	+	0.272822i
$99$	3.10732	+	7.91477i	0.312298	+	0.795465i
$100$	−2.47303	+	4.28341i	−0.247303	+	0.428341i
$101$	3.56120	+	2.98820i	0.354352	+	0.297337i	0.802535	−	0.596605i	$-0.203484\pi$
$101$	3.56120	+	2.98820i	0.354352	+	0.297337i	−0.448183	+	0.893942i	$0.647929\pi$
$102$	−12.4952	+	4.72590i	−1.23721	+	0.467934i
$103$	−0.811964	+	0.143171i	−0.0800051	+	0.0141071i	−0.213507	−	0.976941i	$-0.568489\pi$
$103$	−0.811964	+	0.143171i	−0.0800051	+	0.0141071i	0.133502	+	0.991049i	$0.457378\pi$
$104$	−2.90357	+	2.43639i	−0.284719	+	0.238907i
$105$	−0.484270	−	0.947774i	−0.0472599	−	0.0924932i
$106$	10.2417	−	3.72769i	0.994765	−	0.362065i
$107$		−	2.69609i		−	0.260641i	−0.991472	−	0.130321i	$-0.958399\pi$
$107$		−	2.69609i		−	0.260641i	0.991472	−	0.130321i	$-0.0416006\pi$
$108$	−3.48716	−	3.85224i	−0.335552	−	0.370682i
$109$	−0.962957			−0.0922345			−0.0461173	−	0.998936i	$-0.514685\pi$
$109$	−0.962957			−0.0922345			−0.0461173	+	0.998936i	$0.514685\pi$
$110$	−0.618581	+	0.225145i	−0.0589794	+	0.0214667i
$111$	0.231646	+	18.4989i	0.0219868	+	1.75584i
$112$	−1.56809	−	2.13098i	−0.148171	−	0.201359i
$113$	11.6550	−	2.05509i	1.09641	−	0.193327i	0.403949	−	0.914781i	$-0.367637\pi$
$113$	11.6550	−	2.05509i	1.09641	−	0.193327i	0.692462	+	0.721454i	$0.256526\pi$
$114$	3.28680	−	4.01818i	0.307837	−	0.376337i
$115$	0.660616	−	0.787291i	0.0616027	−	0.0734153i
$116$	6.74218	+	3.89260i	0.625995	+	0.361419i
$117$	−11.1453	+	2.25435i	−1.03039	+	0.208415i
$118$	−6.73548	+	3.88873i	−0.620051	+	0.357987i
$119$	−19.8298	−	4.81653i	−1.81779	−	0.441530i
$120$	0.304901	−	0.262418i	0.0278335	−	0.0239553i
$121$	−2.78785	−	1.01469i	−0.253441	−	0.0922450i
$122$	7.60890	+	2.76941i	0.688877	+	0.250731i
$123$	−6.27726	−	7.29350i	−0.566002	−	0.657633i
$124$	−0.0472816	−	0.00833701i	−0.00424601	−	0.000748686i
$125$	−1.15501	−	2.00054i	−0.103307	−	0.178934i
$126$	−1.07480	−	7.86415i	−0.0957508	−	0.700594i
$127$	−2.13943	+	3.70560i	−0.189844	+	0.328819i	−0.945198	−	0.326498i	$-0.894131\pi$
$127$	−2.13943	+	3.70560i	−0.189844	+	0.328819i	0.755354	+	0.655317i	$0.227465\pi$
$128$	0.642788	−	0.766044i	0.0568149	−	0.0677094i
$129$	−0.0692414	+	0.0846490i	−0.00609636	+	0.00745293i
$130$	−0.152867	−	0.866953i	−0.0134073	−	0.0760368i
$131$	−5.73108	+	4.80895i	−0.500727	+	0.420160i	−0.857852	−	0.513897i	$-0.828201\pi$
$131$	−5.73108	+	4.80895i	−0.500727	+	0.420160i	0.357125	+	0.934057i	$0.383757\pi$
$132$	−4.90876	+	0.0614681i	−0.427253	+	0.00535011i
$133$	7.60915	−	2.23193i	0.659797	−	0.193533i
$134$			14.6889i			1.26893i
$135$	1.17979	−	0.254051i	0.101540	−	0.0218653i
$136$		−	7.71286i		−	0.661373i
$137$	−0.329127	−	0.904268i	−0.0281192	−	0.0772569i	0.924839	−	0.380359i	$-0.124200\pi$
$137$	−0.329127	−	0.904268i	−0.0281192	−	0.0772569i	−0.952958	+	0.303103i	$0.901978\pi$
$138$	6.58904	−	3.91499i	0.560896	−	0.333266i
$139$	−6.03743	−	7.19513i	−0.512088	−	0.610283i	0.446603	−	0.894732i	$-0.352634\pi$
$139$	−6.03743	−	7.19513i	−0.512088	−	0.610283i	−0.958691	+	0.284449i	$0.908189\pi$
$140$	0.610722	−	0.0679379i	0.0516155	−	0.00574180i
$141$	−5.74703	−	15.1951i	−0.483987	−	1.27966i
$142$	5.50667	+	4.62064i	0.462109	+	0.387756i
$143$	−5.37148	+	9.30367i	−0.449186	+	0.778012i
$144$	2.79250	−	1.09633i	0.232708	−	0.0913608i
$145$	−1.56591	+	0.904076i	−0.130041	+	0.0750795i
$146$	−1.59598	+	9.05123i	−0.132084	+	0.749085i
$147$	5.42640	−	10.8422i	0.447562	−	0.894253i
$148$	−10.0370	−	3.65318i	−0.825039	−	0.300290i
$149$	0.845583	−	2.32322i	0.0692729	−	0.190326i	−0.900225	−	0.435425i	$-0.856598\pi$
$149$	0.845583	−	2.32322i	0.0692729	−	0.190326i	0.969498	+	0.245099i	$0.0788205\pi$
$150$	−1.59313	−	8.41739i	−0.130079	−	0.687277i
$151$	2.64476	−	14.9992i	0.215227	−	1.22062i	−0.665284	−	0.746591i	$-0.731689\pi$
$151$	2.64476	−	14.9992i	0.215227	−	1.22062i	0.880511	−	0.474025i	$-0.157199\pi$
$152$	1.49858	+	2.59561i	0.121551	+	0.210532i
$153$	11.0639	−	20.3220i	0.894463	−	1.64294i
$154$	−6.24215	−	4.15551i	−0.503006	−	0.334860i
$155$	0.00716759	−	0.00854201i	0.000575715	−	0.000686110i
$156$	1.05897	−	6.47910i	0.0847854	−	0.518743i
$157$	11.1182	−	1.96045i	0.887332	−	0.156461i	0.288638	−	0.957438i	$-0.406798\pi$
$157$	11.1182	−	1.96045i	0.887332	−	0.156461i	0.598694	+	0.800978i	$0.295687\pi$
$158$	6.40678	+	7.63530i	0.509696	+	0.607432i
$159$	−9.23339	+	16.4654i	−0.732256	+	1.30579i
$160$	0.0794360	+	0.218249i	0.00627997	+	0.0172541i
$161$	11.6837	+	0.745808i	0.920808	+	0.0587779i
$162$	8.93040	+	1.11713i	0.701638	+	0.0877704i
$163$	9.92508			0.777392			0.388696	−	0.921366i	$-0.372926\pi$
$163$	9.92508			0.777392			0.388696	+	0.921366i	$0.372926\pi$
$164$	5.22070	−	1.90018i	0.407668	−	0.148379i
$165$	0.557679	−	0.994481i	0.0434152	−	0.0774202i
$166$	2.40349	+	2.86437i	0.186547	+	0.222318i
$167$	3.95132	+	22.4091i	0.305763	+	1.73407i	0.619894	+	0.784686i	$0.287176\pi$
$167$	3.95132	+	22.4091i	0.305763	+	1.73407i	−0.314131	+	0.949380i	$0.601713\pi$
$168$	4.46629	+	1.02579i	0.344582	+	0.0791412i
$169$	−1.04696	−	0.878506i	−0.0805356	−	0.0675774i
$170$	1.55136	+	0.895677i	0.118984	+	0.0686953i
$171$	0.225149	+	8.98865i	0.0172176	+	0.687380i
$172$	−0.0315698	−	0.0546805i	−0.00240717	−	0.00416935i
$173$	0.162969	−	0.924246i	0.0123903	−	0.0702691i	−0.977986	−	0.208672i	$-0.933086\pi$
$173$	0.162969	−	0.924246i	0.0123903	−	0.0702691i	0.990376	+	0.138403i	$0.0441969\pi$
$174$	−13.2491	+	2.50762i	−1.00441	+	0.190103i
$175$	5.24995	−	11.9868i	0.396859	−	0.906114i
$176$	0.969386	−	2.66337i	0.0730702	−	0.200759i
$177$	4.44848	−	12.7153i	0.334368	−	0.955737i
$178$	5.42066	+	0.955808i	0.406296	+	0.0716409i
$179$	7.75758	−	4.47884i	0.579829	−	0.334764i	−0.181236	−	0.983440i	$-0.558010\pi$
$179$	7.75758	−	4.47884i	0.579829	−	0.334764i	0.761065	+	0.648675i	$0.224677\pi$
$180$	−0.103772	+	0.688995i	−0.00773471	+	0.0513546i
$181$	15.2802	+	8.82200i	1.13577	+	0.655734i	0.945378	−	0.325975i	$-0.105692\pi$
$181$	15.2802	+	8.82200i	1.13577	+	0.655734i	0.190387	+	0.981709i	$0.439026\pi$
$182$	6.92236	−	7.25589i	0.513119	−	0.537842i
$183$	−13.1179	+	4.96140i	−0.969703	+	0.366757i
$184$	0.768398	+	4.35780i	0.0566470	+	0.321261i
$185$	1.90037	−	1.59460i	0.139718	−	0.117238i
$186$	0.0714902	−	0.0424772i	0.00524191	−	0.00311458i
$187$	−7.47674	−	20.5422i	−0.546754	−	1.50219i
$188$	9.37940			0.684063
$189$	10.2964	+	9.10954i	0.748954	+	0.662622i
$190$	−0.696106			−0.0505008
$191$	−6.61722	−	18.1807i	−0.478805	−	1.31551i	−0.910508	−	0.413491i	$-0.864309\pi$
$191$	−6.61722	−	18.1807i	−0.478805	−	1.31551i	0.431703	−	0.902016i	$-0.357913\pi$
$192$	0.0216873	+	1.73192i	0.00156514	+	0.124990i
$193$	11.8634	−	9.95454i	0.853943	−	0.716543i	−0.106711	−	0.994290i	$-0.534032\pi$
$193$	11.8634	−	9.95454i	0.853943	−	0.716543i	0.960654	+	0.277747i	$0.0895876\pi$
$194$	−1.68128	−	9.53501i	−0.120709	−	0.684574i
$195$	1.18022	+	0.965402i	0.0845176	+	0.0691339i
$196$	4.74669	+	5.14480i	0.339049	+	0.367486i
$197$	−1.02899	−	0.594090i	−0.0733128	−	0.0423272i	0.462895	−	0.886413i	$-0.346811\pi$
$197$	−1.02899	−	0.594090i	−0.0733128	−	0.0423272i	−0.536208	+	0.844086i	$0.680144\pi$
$198$	6.37469	−	5.62694i	0.453029	−	0.399889i
$199$	17.7572	−	10.2521i	1.25878	−	0.726756i	0.285941	−	0.958247i	$-0.407694\pi$
$199$	17.7572	−	10.2521i	1.25878	−	0.726756i	0.972837	+	0.231492i	$0.0743606\pi$
$200$	4.87092	+	0.858874i	0.344426	+	0.0607316i
$201$	−16.5965	−	19.2834i	−1.17063	−	1.36014i
$202$	1.58999	−	4.36845i	0.111871	−	0.307363i
$203$	−18.8674	−	8.26353i	−1.32423	−	0.579986i
$204$	8.71451	+	10.1253i	0.610138	+	0.708914i
$205$	−0.224067	+	1.27075i	−0.0156495	+	0.0887530i
$206$	0.412245	+	0.714029i	0.0287224	+	0.0497487i
$207$	−4.22656	+	12.5843i	−0.293766	+	0.874668i
$208$	3.28253	+	1.89517i	0.227603	+	0.131407i
$209$	6.50742	+	5.46037i	0.450128	+	0.377702i
$210$	−0.724986	+	0.779223i	−0.0500288	+	0.0537715i
$211$	−2.47533	−	14.0383i	−0.170409	−	0.966437i	−0.943311	−	0.331911i	$-0.892307\pi$
$211$	−2.47533	−	14.0383i	−0.170409	−	0.966437i	0.772902	−	0.634526i	$-0.218805\pi$
$212$	−7.00576	−	8.34914i	−0.481158	−	0.573421i
$213$	−12.4498	+	0.155898i	−0.853044	+	0.0106819i
$214$	−2.53350	+	0.922118i	−0.173186	+	0.0630347i
$215$	0.0146645			0.00100011
$216$	−2.42724	+	4.59440i	−0.165153	+	0.312609i
$217$	0.126767	+	0.00809192i	0.00860551	+	0.000549315i
$218$	0.329351	+	0.904883i	0.0223064	+	0.0612864i
$219$	−8.13151	−	13.6855i	−0.549477	−	0.924784i
$220$	0.423134	+	0.504272i	0.0285277	+	0.0339980i
$221$	28.7903	−	5.07650i	1.93664	−	0.341483i
$222$	17.3041	−	6.54467i	1.16137	−	0.439250i
$223$	−11.5720	+	13.7910i	−0.774921	+	0.923515i	−0.998692	−	0.0511268i	$-0.983719\pi$
$223$	−11.5720	+	13.7910i	−0.774921	+	0.923515i	0.223771	+	0.974642i	$0.428163\pi$
$224$	−1.46615	+	2.20236i	−0.0979614	+	0.147152i
$225$	11.6020	+	9.25018i	0.773464	+	0.616678i
$226$	−5.91741	−	10.2492i	−0.393620	−	0.681770i
$227$	−0.311191	+	1.76485i	−0.0206545	+	0.117137i	−0.993392	−	0.114772i	$-0.963386\pi$
$227$	−0.311191	+	1.76485i	−0.0206545	+	0.117137i	0.972737	+	0.231909i	$0.0744973\pi$
$228$	−4.90001	−	1.71429i	−0.324511	−	0.113531i
$229$	−2.72470	+	7.48605i	−0.180053	+	0.494692i	−0.996582	−	0.0826129i	$-0.973673\pi$
$229$	−2.72470	+	7.48605i	−0.180053	+	0.494692i	0.816528	+	0.577305i	$0.195896\pi$
$230$	−0.965756	−	0.351506i	−0.0636800	−	0.0231776i
$231$	12.8898	−	1.59751i	0.848084	−	0.105109i
$232$	1.35189	−	7.66692i	0.0887556	−	0.503358i
$233$	−6.53030	+	3.77027i	−0.427814	+	0.246998i	−0.698415	−	0.715693i	$-0.746111\pi$
$233$	−6.53030	+	3.77027i	−0.427814	+	0.246998i	0.270601	+	0.962692i	$0.412778\pi$
$234$	5.93032	+	9.70215i	0.387677	+	0.634249i
$235$	−1.08921	+	1.88656i	−0.0710520	+	0.123066i
$236$	5.95788	+	4.99926i	0.387825	+	0.325424i
$237$	−17.0376	−	2.78469i	−1.10671	−	0.180885i
$238$	2.25612	+	20.2812i	0.146243	+	1.31464i
$239$	7.48335	+	8.91830i	0.484057	+	0.576877i	0.951696	−	0.307043i	$-0.0993395\pi$
$239$	7.48335	+	8.91830i	0.484057	+	0.576877i	−0.467638	+	0.883920i	$0.654895\pi$
$240$	−0.350874	−	0.196761i	−0.0226488	−	0.0127009i
$241$	−8.39994	−	23.0787i	−0.541088	−	1.48663i	−0.845442	−	0.534068i	$-0.820663\pi$
$241$	−8.39994	−	23.0787i	−0.541088	−	1.48663i	0.304354	−	0.952559i	$-0.401560\pi$
$242$			2.96677i			0.190711i
$243$	−12.9859	+	8.62361i	−0.833045	+	0.553205i
$244$		−	8.09722i		−	0.518371i
$245$	−1.58604	+	0.357290i	−0.101328	+	0.0228264i
$246$	−4.70670	+	8.39322i	−0.300088	+	0.535132i
$247$	−8.70247	+	7.30224i	−0.553725	+	0.464630i
$248$	0.00833701	+	0.0472816i	0.000529401	+	0.00300238i
$249$	−6.39162	−	1.04467i	−0.405053	−	0.0662034i
$250$	−1.48485	+	1.76958i	−0.0939105	+	0.111918i
$251$	2.13327	−	3.69494i	0.134651	−	0.233222i	−0.790813	−	0.612058i	$-0.790342\pi$
$251$	2.13327	−	3.69494i	0.134651	−	0.233222i	0.925464	+	0.378835i	$0.123675\pi$
$252$	−7.02228	+	3.69968i	−0.442362	+	0.233058i
$253$	6.27092	+	10.8615i	0.394249	+	0.682860i
$254$	4.21385	+	0.743016i	0.264401	+	0.0466209i
$255$	−3.04859	+	0.576998i	−0.190910	+	0.0361330i
$256$	−0.939693	−	0.342020i	−0.0587308	−	0.0213763i
$257$	19.1424	+	6.96726i	1.19407	+	0.434606i	0.861151	−	0.508349i	$-0.169744\pi$
$257$	19.1424	+	6.96726i	1.19407	+	0.434606i	0.332919	+	0.942955i	$0.391966\pi$
$258$	0.103226	+	0.0361140i	0.00642657	+	0.00224836i
$259$	27.4613	+	6.67018i	1.70636	+	0.414465i
$260$	−0.762386	+	0.440164i	−0.0472812	+	0.0272978i
$261$	14.5600	−	18.2617i	0.901239	−	1.13037i
$262$	6.47908	+	3.74070i	0.400279	+	0.231101i
$263$	−13.9170	+	16.5856i	−0.858159	+	1.02271i	0.141305	+	0.989966i	$0.454870\pi$
$263$	−13.9170	+	16.5856i	−0.858159	+	1.02271i	−0.999464	+	0.0327479i	$0.989574\pi$
$264$	1.73666	+	4.59170i	0.106884	+	0.282600i
$265$	2.49290	−	0.439565i	0.153138	−	0.0270023i
$266$	−4.69981	−	6.38690i	−0.288164	−	0.391606i
$267$	−8.19609	+	4.86985i	−0.501592	+	0.298030i
$268$	13.8031	−	5.02391i	0.843156	−	0.306884i
$269$	−4.52804			−0.276080			−0.138040	−	0.990427i	$-0.544080\pi$
$269$	−4.52804			−0.276080			−0.138040	+	0.990427i	$0.544080\pi$
$270$	−0.642242	−	1.02175i	−0.0390856	−	0.0621817i
$271$		−	19.2112i		−	1.16699i	−0.812115	−	0.583497i	$-0.801684\pi$
$271$		−	19.2112i		−	1.16699i	0.812115	−	0.583497i	$-0.198316\pi$
$272$	−7.24772	+	2.63795i	−0.439458	+	0.159950i
$273$	−0.889367	+	17.3468i	−0.0538269	+	1.04987i
$274$	−0.737166	+	0.618556i	−0.0445339	+	0.0373683i
$275$	13.8056	−	2.43430i	0.832510	−	0.146794i
$276$	−5.93248	−	4.85266i	−0.357093	−	0.292096i
$277$	−21.2728	−	17.8500i	−1.27816	−	1.07250i	−0.993495	−	0.113875i	$-0.963674\pi$
$277$	−21.2728	−	17.8500i	−1.27816	−	1.07250i	−0.284664	−	0.958627i	$-0.591882\pi$
$278$	−4.69629	+	8.13421i	−0.281665	+	0.487858i
$279$	−0.0458576	+	0.136538i	−0.00274542	+	0.00817430i
$280$	−0.272720	−	0.550655i	−0.0162981	−	0.0329079i
$281$	−1.86731	−	0.329257i	−0.111394	−	0.0196418i	0.117673	−	0.993052i	$-0.462457\pi$
$281$	−1.86731	−	0.329257i	−0.111394	−	0.0196418i	−0.229067	+	0.973411i	$0.573568\pi$
$282$	−12.3131	+	10.5975i	−0.733235	+	0.631070i
$283$	−3.81996	+	10.4953i	−0.227073	+	0.623878i	−0.999943	−	0.0106866i	$-0.996598\pi$
$283$	−3.81996	+	10.4953i	−0.227073	+	0.623878i	0.772870	+	0.634564i	$0.218821\pi$
$284$	2.45859	−	6.75492i	0.145891	−	0.400831i
$285$	0.913836	−	0.786507i	0.0541310	−	0.0465886i
$286$	10.5797	+	1.86549i	0.625594	+	0.110309i
$287$	−13.1722	+	6.52371i	−0.777528	+	0.385082i
$288$	−1.98530	−	2.24913i	−0.116985	−	0.132531i
$289$	−21.2441	+	36.7959i	−1.24966	+	2.16447i
$290$	1.38513	+	1.16226i	0.0813374	+	0.0682501i
$291$	12.9805	+	10.6178i	0.760928	+	0.622426i
$292$	9.05123	−	1.59598i	0.529683	−	0.0933974i
$293$	6.36967	−	5.34479i	0.372120	−	0.312246i	−0.437479	−	0.899228i	$-0.644129\pi$
$293$	6.36967	−	5.34479i	0.372120	−	0.312246i	0.809600	+	0.586982i	$0.199684\pi$
$294$	−12.0443	−	1.39089i	−0.702438	−	0.0811182i
$295$	−1.69742	+	0.617810i	−0.0988276	+	0.0359703i
$296$			10.6812i			0.620831i
$297$	−2.01089	+	14.5895i	−0.116684	+	0.846569i
$298$	−2.47232			−0.143218
$299$	−15.7609	+	5.73649i	−0.911475	+	0.331750i
$300$	−7.36487	+	4.37597i	−0.425211	+	0.252647i
$301$	0.0990086	+	0.134549i	0.00570676	+	0.00775530i
$302$	−14.9992	+	2.64476i	−0.863106	+	0.152189i
$303$	2.84846	+	7.53131i	0.163640	+	0.432662i
$304$	1.92654	−	2.29596i	0.110494	−	0.131682i
$305$	1.62867	+	0.940311i	0.0932572	+	0.0538421i
$306$	−22.8805	−	3.44612i	−1.30799	−	0.197002i
$307$	−2.56208	+	1.47922i	−0.146226	+	0.0844233i	−0.571328	−	0.820722i	$-0.693571\pi$
$307$	−2.56208	+	1.47922i	−0.146226	+	0.0844233i	0.425102	+	0.905145i	$0.360238\pi$
$308$	−1.76996	+	7.28697i	−0.100853	+	0.415213i
$309$	−1.34795	−	0.471584i	−0.0766819	−	0.0268275i
$310$	−0.0104783	−	0.00381380i	−0.000595129	−	0.000216609i
$311$	−3.95612	−	1.43991i	−0.224331	−	0.0816499i	0.227409	−	0.973799i	$-0.426974\pi$
$311$	−3.95612	−	1.43991i	−0.224331	−	0.0816499i	−0.451740	+	0.892149i	$0.649197\pi$
$312$	−6.45055	+	1.22088i	−0.365191	+	0.0691185i
$313$	6.07067	+	1.07042i	0.343135	+	0.0605039i	0.342560	−	0.939496i	$-0.388706\pi$
$313$	6.07067	+	1.07042i	0.343135	+	0.0605039i	0.000574637		1.00000i	$0.499817\pi$
$314$	−5.64488	−	9.77721i	−0.318559	−	0.551760i
$315$	0.0713310	−	1.84209i	0.00401905	−	0.103790i
$316$	4.98359	−	8.63183i	0.280349	−	0.485578i
$317$	−8.12081	+	9.67801i	−0.456110	+	0.543571i	−0.944265	−	0.329186i	$-0.893226\pi$
$317$	−8.12081	+	9.67801i	−0.456110	+	0.543571i	0.488155	+	0.872757i	$0.337670\pi$
$318$	18.6305	+	3.04504i	1.04474	+	0.170757i
$319$	−3.83164	−	21.7303i	−0.214531	−	1.21666i
$320$	0.177918	−	0.149291i	0.00994591	−	0.00834561i
$321$	2.28406	−	4.07306i	0.127484	−	0.227336i
$322$	−3.29524	−	11.2342i	−0.183637	−	0.626058i
$323$		−	23.1167i		−	1.28625i
$324$	−2.00461	−	8.77391i	−0.111367	−	0.487440i
$325$			18.7473i			1.03991i
$326$	−3.39458	−	9.32652i	−0.188008	−	0.516548i
$327$	−1.45476	−	0.815794i	−0.0804486	−	0.0451135i
$328$	−3.57117	−	4.25595i	−0.197185	−	0.234996i
$329$	−24.6634	+	2.74360i	−1.35974	+	0.151260i
$330$	−1.12524	−	0.183914i	−0.0619426	−	0.0101241i
$331$	13.3372	+	11.1912i	0.733078	+	0.615126i	0.930969	−	0.365098i	$-0.118965\pi$
$331$	13.3372	+	11.1912i	0.733078	+	0.615126i	−0.197891	+	0.980224i	$0.563409\pi$
$332$	1.86959	−	3.23822i	0.102607	−	0.177720i
$333$	−15.3219	+	28.1430i	−0.839634	+	1.54223i
$334$	19.7062	−	11.3774i	1.07828	−	0.622543i
$335$	−0.592414	+	3.35975i	−0.0323671	+	0.183563i
$336$	−0.563637	−	4.54778i	−0.0307489	−	0.248102i
$337$	22.1867	+	8.07529i	1.20859	+	0.439889i	0.866213	−	0.499675i	$-0.166547\pi$
$337$	22.1867	+	8.07529i	1.20859	+	0.439889i	0.342372	+	0.939564i	$0.388770\pi$
$338$	−0.467444	+	1.28429i	−0.0254256	+	0.0698562i
$339$	19.3486	+	6.76916i	1.05087	+	0.367650i
$340$	0.311065	−	1.76414i	0.0168699	−	0.0956739i
$341$	0.0680386	+	0.117846i	0.00368450	+	0.00638174i
$342$	8.36957	−	3.28587i	0.452574	−	0.177680i
$343$	−13.9865	−	12.1399i	−0.755199	−	0.655495i
$344$	−0.0405853	+	0.0483677i	−0.00218821	+	0.00260781i
$345$	1.66498	−	0.629724i	0.0896397	−	0.0339032i
$346$	−0.924246	+	0.162969i	−0.0496878	+	0.00876129i
$347$	22.4715	+	26.7805i	1.20633	+	1.43765i	0.867954	+	0.496644i	$0.165434\pi$
$347$	22.4715	+	26.7805i	1.20633	+	1.43765i	0.338380	+	0.941010i	$0.390121\pi$
$348$	6.88787	+	11.5925i	0.369228	+	0.621421i
$349$	−0.112904	−	0.310201i	−0.00604361	−	0.0166047i	0.936634	−	0.350309i	$-0.113923\pi$
$349$	−0.112904	−	0.310201i	−0.00604361	−	0.0166047i	−0.942678	+	0.333704i	$0.891701\pi$
$350$	−13.0595	−	0.833625i	−0.698057	−	0.0445591i
$351$	−18.7474	−	6.03635i	−1.00066	−	0.322196i
$352$	−2.83430			−0.151068
$353$	22.7231	−	8.27055i	1.20943	−	0.440197i	0.342925	−	0.939363i	$-0.388582\pi$
$353$	22.7231	−	8.27055i	1.20943	−	0.440197i	0.866506	+	0.499166i	$0.166360\pi$
$354$	−13.4699	+	0.168672i	−0.715917	+	0.00896480i
$355$	1.07317	+	1.27895i	0.0569578	+	0.0678797i
$356$	−0.955808	−	5.42066i	−0.0506577	−	0.287294i
$357$	−25.8769	−	24.0757i	−1.36955	−	1.27422i
$358$	−6.86198	−	5.75789i	−0.362667	−	0.304314i
$359$	−5.66216	−	3.26905i	−0.298837	−	0.172534i	0.343083	−	0.939305i	$-0.388529\pi$
$359$	−5.66216	−	3.26905i	−0.298837	−	0.172534i	−0.641920	+	0.766771i	$0.721862\pi$
$360$	0.682935	−	0.138136i	0.0359939	−	0.00728042i
$361$	−5.00852	−	8.67501i	−0.263606	−	0.456580i
$362$	3.06385	−	17.3760i	0.161032	−	0.913260i
$363$	−3.35205	−	3.89473i	−0.175937	−	0.204420i
$364$	−9.18589	−	4.02323i	−0.481472	−	0.210874i
$365$	−0.730085	+	2.00589i	−0.0382144	+	0.104993i
$366$	9.14878	+	10.6299i	0.478214	+	0.555634i
$367$	3.09280	+	0.545344i	0.161443	+	0.0284667i	0.253785	−	0.967261i	$-0.418324\pi$
$367$	3.09280	+	0.545344i	0.161443	+	0.0284667i	−0.0923424	+	0.995727i	$0.529435\pi$
$368$	3.83219	−	2.21251i	0.199766	−	0.115335i
$369$	−3.30434	−	16.3364i	−0.172017	−	0.850440i
$370$	−2.14840	−	1.24038i	−0.111690	−	0.0644843i
$371$	20.8641	+	19.9050i	1.08321	+	1.03342i
$372$	−0.0643666	−	0.0526507i	−0.00333725	−	0.00272981i
$373$	2.14799	+	12.1819i	0.111219	+	0.630754i	0.988553	+	0.150874i	$0.0482087\pi$
$373$	2.14799	+	12.1819i	0.111219	+	0.630754i	−0.877334	+	0.479880i	$0.840680\pi$
$374$	−16.7461	+	14.0517i	−0.865922	+	0.726595i
$375$	−0.0500981	−	4.00077i	−0.00258705	−	0.206599i
$376$	−3.20794	−	8.81375i	−0.165437	−	0.454534i
$377$	29.5086			1.51977
$378$	5.03859	−	12.7911i	0.259157	−	0.657904i
$379$	2.95502			0.151789			0.0758945	−	0.997116i	$-0.475819\pi$
$379$	2.95502			0.151789			0.0758945	+	0.997116i	$0.475819\pi$
$380$	0.238082	+	0.654125i	0.0122134	+	0.0335559i
$381$	−6.37138	+	3.78567i	−0.326416	+	0.193946i
$382$	−14.8210	+	12.4363i	−0.758309	+	0.636297i
$383$	1.16474	+	6.60557i	0.0595154	+	0.337529i	0.999997	−	0.00231498i	$-0.000736881\pi$
$383$	1.16474	+	6.60557i	0.0595154	+	0.337529i	−0.940482	+	0.339844i	$0.889626\pi$
$384$	1.62005	−	0.612729i	0.0826728	−	0.0312682i
$385$	−1.26015	−	1.20223i	−0.0642233	−	0.0612711i
$386$	−13.4117	−	7.74326i	−0.682638	−	0.394121i
$387$	−0.176317	+	0.0692218i	−0.00896271	+	0.00351874i
$388$	−8.38495	+	4.84105i	−0.425681	+	0.245767i
$389$	14.5281	+	2.56169i	0.736602	+	0.129883i	0.529348	−	0.848405i	$-0.322436\pi$
$389$	14.5281	+	2.56169i	0.736602	+	0.129883i	0.207253	+	0.978287i	$0.433548\pi$
$390$	0.503521	−	1.43923i	0.0254968	−	0.0728785i
$391$	11.6730	−	32.0714i	0.590330	−	1.62192i
$392$	3.21107	−	6.22005i	0.162183	−	0.314160i
$393$	−12.7321	+	2.40977i	−0.642250	+	0.121557i
$394$	−0.206325	+	1.17013i	−0.0103945	+	0.0589503i
$395$	1.15746	+	2.00479i	0.0582384	+	0.100872i
$396$	−7.46786	−	4.06572i	−0.375274	−	0.204310i
$397$	14.6668	+	8.46789i	0.736106	+	0.424991i	0.820652	−	0.571428i	$-0.193611\pi$
$397$	14.6668	+	8.46789i	0.736106	+	0.424991i	−0.0845456	+	0.996420i	$0.526944\pi$
$398$	−15.7072	−	13.1799i	−0.787331	−	0.660649i
$399$	13.3862	+	3.07445i	0.670147	+	0.153915i
$400$	−0.858874	−	4.87092i	−0.0429437	−	0.243546i
$401$	−2.58312	−	3.07844i	−0.128995	−	0.153730i	0.697681	−	0.716409i	$-0.254215\pi$
$401$	−2.58312	−	3.07844i	−0.128995	−	0.153730i	−0.826676	+	0.562679i	$0.809771\pi$
$402$	−12.4441	+	22.1909i	−0.620655	+	1.10678i
$403$	−0.171003	+	0.0622402i	−0.00851829	+	0.00310040i
$404$	−4.64881			−0.231287
$405$	1.99757	+	0.615688i	0.0992599	+	0.0305938i
$406$	−1.31214	+	20.5559i	−0.0651205	+	1.02017i
$407$	10.3542	+	28.4479i	0.513238	+	1.41011i
$408$	6.53415	−	11.6520i	0.323489	−	0.576861i
$409$	18.7909	+	22.3941i	0.929150	+	1.10732i	0.993995	+	0.109422i	$0.0349001\pi$
$409$	18.7909	+	22.3941i	0.929150	+	1.10732i	−0.0648454	+	0.997895i	$0.520655\pi$
$410$	1.27075	−	0.224067i	0.0627578	−	0.0110659i
$411$	0.268854	−	1.64493i	0.0132616	−	0.0811384i
$412$	0.529972	−	0.631596i	0.0261098	−	0.0311165i
$413$	−17.1288	−	11.4029i	−0.842852	−	0.561102i
$414$	13.2709	−	0.332412i	0.652230	−	0.0163372i
$415$	0.434221	+	0.752093i	0.0213151	+	0.0369188i
$416$	0.658186	−	3.73276i	0.0322702	−	0.183014i
$417$	−3.02537	−	15.9846i	−0.148153	−	0.782771i
$418$	2.90540	−	7.98253i	0.142108	−	0.390438i
$419$	−10.9984	−	4.00308i	−0.537306	−	0.195563i	0.0590917	−	0.998253i	$-0.481180\pi$
$419$	−10.9984	−	4.00308i	−0.537306	−	0.195563i	−0.596398	+	0.802689i	$0.703402\pi$
$420$	0.980190	+	0.414754i	0.0478284	+	0.0202379i
$421$	3.69292	−	20.9436i	0.179982	−	1.02073i	−0.752253	−	0.658874i	$-0.771033\pi$
$421$	3.69292	−	20.9436i	0.179982	−	1.02073i	0.932235	−	0.361854i	$-0.117856\pi$
$422$	−12.3451	+	7.12744i	−0.600949	+	0.346958i
$423$	4.19073	−	27.8244i	0.203760	−	1.35287i
$424$	−5.44951	+	9.43883i	−0.264652	+	0.458390i
$425$	−29.2233	−	24.5212i	−1.41754	−	1.18945i
$426$	4.40457	+	11.6456i	0.213402	+	0.564233i
$427$	2.36855	+	21.2919i	0.114622	+	1.03039i
$428$	1.73301	+	2.06533i	0.0837684	+	0.0998313i
$429$	−15.9967	+	9.50472i	−0.772327	+	0.458892i
$430$	−0.00501555	−	0.0137801i	−0.000241871	−	0.000664536i
$431$		−	21.5032i		−	1.03577i	−0.855449	−	0.517887i	$-0.826719\pi$
$431$		−	21.5032i		−	1.03577i	0.855449	−	0.517887i	$-0.173281\pi$
$432$	5.14749	+	0.709486i	0.247659	+	0.0341352i
$433$			3.00077i			0.144208i	0.997397	+	0.0721038i	$0.0229713\pi$
$433$			3.00077i			0.144208i	−0.997397	+	0.0721038i	$0.977029\pi$
$434$	−0.0357530	−	0.121890i	−0.00171620	−	0.00585089i
$435$	−3.13157	+	0.0392139i	−0.150147	+	0.00188016i
$436$	0.737668	−	0.618977i	0.0353279	−	0.0296436i
$437$	2.30301	+	13.0610i	0.110168	+	0.624793i
$438$	−10.0791	+	12.3219i	−0.481596	+	0.588761i
$439$	−13.6781	+	16.3010i	−0.652822	+	0.778003i	−0.986337	−	0.164742i	$-0.947321\pi$
$439$	−13.6781	+	16.3010i	−0.652822	+	0.778003i	0.333514	+	0.942745i	$0.391765\pi$
$440$	0.329140	−	0.570087i	0.0156911	−	0.0271778i
$441$	17.3831	−	11.7825i	0.827766	−	0.561073i
$442$	−14.6172	−	25.3177i	−0.695270	−	1.20424i
$443$	−27.7278	−	4.88916i	−1.31739	−	0.232291i	−0.529604	−	0.848245i	$-0.677660\pi$
$443$	−27.7278	−	4.88916i	−1.31739	−	0.232291i	−0.787782	+	0.615954i	$0.788771\pi$
$444$	−12.0683	−	14.0221i	−0.572737	−	0.665459i
$445$	1.20130	+	0.437238i	0.0569471	+	0.0207271i
$446$	16.9172	+	6.15735i	0.801052	+	0.291559i
$447$	3.24562	−	2.79339i	0.153513	−	0.132123i
$448$	2.57100	+	0.624479i	0.121468	+	0.0295039i
$449$	21.5205	−	12.4249i	1.01561	−	0.586365i	0.102784	−	0.994704i	$-0.467225\pi$
$449$	21.5205	−	12.4249i	1.01561	−	0.586365i	0.912830	+	0.408339i	$0.133892\pi$
$450$	4.72422	−	14.0660i	0.222702	−	0.663079i
$451$	−13.6370	−	7.87332i	−0.642141	−	0.370740i
$452$	−7.60727	+	9.06599i	−0.357816	+	0.426428i
$453$	16.7024	−	20.4191i	0.784749	−	0.959372i
$454$	1.76485	−	0.311191i	0.0828286	−	0.0146049i
$455$	1.87596	−	1.38043i	0.0879465	−	0.0647157i
$456$	0.0650001	+	5.19082i	0.00304391	+	0.243083i
$457$	3.18323	−	1.15860i	0.148905	−	0.0541970i	−0.266492	−	0.963837i	$-0.585865\pi$
$457$	3.18323	−	1.15860i	0.148905	−	0.0541970i	0.415397	+	0.909640i	$0.363643\pi$
$458$	7.96649			0.372250
$459$	33.9308	−	21.3279i	1.58376	−	0.995503i
$460$			1.02774i			0.0479184i
$461$	4.97711	−	1.81152i	0.231807	−	0.0843708i	−0.223505	−	0.974703i	$-0.571750\pi$
$461$	4.97711	−	1.81152i	0.231807	−	0.0843708i	0.455312	+	0.890332i	$0.349528\pi$
$462$	−5.90973	−	11.5660i	−0.274945	−	0.538100i
$463$	−7.12196	+	5.97603i	−0.330985	+	0.277730i	−0.793101	−	0.609090i	$-0.791535\pi$
$463$	−7.12196	+	5.97603i	−0.330985	+	0.277730i	0.462116	+	0.886820i	$0.347090\pi$
$464$	−7.66692	+	1.35189i	−0.355928	+	0.0627597i
$465$	0.0180649	−	0.00683242i	0.000837737	−	0.000316846i
$466$	5.77639	+	4.84696i	0.267586	+	0.224531i
$467$	−12.5950	+	21.8151i	−0.582826	+	1.00948i	0.412317	+	0.911041i	$0.364720\pi$
$467$	−12.5950	+	21.8151i	−0.582826	+	1.00948i	−0.995143	+	0.0984437i	$0.968614\pi$
$468$	7.08875	−	8.89101i	0.327678	−	0.410987i
$469$	−34.8260	+	17.2481i	−1.60812	+	0.796444i
$470$	2.14532	+	0.378278i	0.0989562	+	0.0174486i
$471$	18.4575	+	6.45741i	0.850475	+	0.297542i
$472$	2.66005	−	7.30842i	0.122439	−	0.336397i
$473$	−0.0612066	+	0.168164i	−0.00281428	+	0.00773218i
$474$	3.21045	+	16.9625i	0.147461	+	0.779114i
$475$	14.5989	+	2.57418i	0.669844	+	0.118112i
$476$	18.2865	−	9.05665i	0.838159	−	0.415111i
$477$	−27.8983	+	17.0525i	−1.27737	+	0.780779i
$478$	5.82101	−	10.0823i	0.266247	−	0.461153i
$479$	6.60298	+	5.54056i	0.301698	+	0.253154i	0.781051	−	0.624468i	$-0.214684\pi$
$479$	6.60298	+	5.54056i	0.301698	+	0.253154i	−0.479353	+	0.877622i	$0.659129\pi$
$480$	−0.0648889	+	0.397010i	−0.00296176	+	0.0181209i
$481$	−39.8703	+	7.03021i	−1.81793	+	0.320550i
$482$	−18.8139	+	15.7867i	−0.856949	+	0.719066i
$483$	17.0191	+	11.0249i	0.774396	+	0.501650i
$484$	2.78785	−	1.01469i	0.126720	−	0.0461225i
$485$		−	2.24872i		−	0.102109i
$486$	12.5450	+	9.25330i	0.569052	+	0.419738i
$487$	1.83105			0.0829727			0.0414864	−	0.999139i	$-0.486791\pi$
$487$	1.83105			0.0829727			0.0414864	+	0.999139i	$0.486791\pi$
$488$	−7.60890	+	2.76941i	−0.344439	+	0.125365i
$489$	14.9941	+	8.40828i	0.678055	+	0.380236i
$490$	0.878201	+	1.36819i	0.0396731	+	0.0618086i
$491$	26.1132	−	4.60447i	1.17847	−	0.207797i	0.450101	−	0.892978i	$-0.351388\pi$
$491$	26.1132	−	4.60447i	1.17847	−	0.207797i	0.728373	+	0.685181i	$0.240277\pi$
$492$	9.49683	+	1.55220i	0.428150	+	0.0699786i
$493$	−38.5969	+	45.9980i	−1.73832	+	2.07165i
$494$	9.83828	+	5.68013i	0.442645	+	0.255561i
$495$	1.68500	−	1.02994i	0.0757351	−	0.0462922i
$496$	0.0415787	−	0.0240055i	0.00186694	−	0.00107788i
$497$	−4.48903	+	18.4815i	−0.201361	+	0.829007i
$498$	1.20439	+	6.36346i	0.0539701	+	0.285153i
$499$	17.8600	+	6.50049i	0.799521	+	0.291002i	0.709288	−	0.704919i	$-0.249017\pi$
$499$	17.8600	+	6.50049i	0.799521	+	0.291002i	0.0902331	+	0.995921i	$0.471239\pi$
$500$	2.17071	+	0.790075i	0.0970772	+	0.0353332i
$501$	−13.0151	+	37.2014i	−0.581470	+	1.66204i
$502$	−4.20173	−	0.740878i	−0.187532	−	0.0330670i
$503$	−13.9404	−	24.1455i	−0.621571	−	1.07659i	−0.989193	−	0.146617i	$-0.953161\pi$
$503$	−13.9404	−	24.1455i	−0.621571	−	1.07659i	0.367622	−	0.929975i	$-0.380172\pi$
$504$	5.87832	+	5.33342i	0.261841	+	0.237569i
$505$	0.539855	−	0.935057i	0.0240233	−	0.0416095i
$506$	8.06174	−	9.60760i	0.358388	−	0.427110i
$507$	−0.837425	−	2.21414i	−0.0371914	−	0.0983336i
$508$	−0.743016	−	4.21385i	−0.0329660	−	0.186959i
$509$	32.0779	−	26.9166i	1.42183	−	1.19306i	0.471478	−	0.881878i	$-0.343721\pi$
$509$	32.0779	−	26.9166i	1.42183	−	1.19306i	0.950352	−	0.311178i	$-0.100724\pi$
$510$	1.58488	+	2.66739i	0.0701797	+	0.118114i
$511$	−23.3336	+	6.84428i	−1.03222	+	0.302773i
$512$			1.00000i			0.0441942i
$513$	−7.27483	+	13.7701i	−0.321192	+	0.607966i
$514$		−	20.3709i		−	0.898523i
$515$	0.0654941	+	0.179944i	0.00288602	+	0.00792926i
$516$	−0.00136932	−	0.109352i	−6.02811e−5	−	0.00481397i
$517$	−17.0879	−	20.3645i	−0.751523	−	0.895630i
$518$	−3.12440	−	28.0865i	−0.137278	−	1.23405i
$519$	1.02920	−	1.25822i	0.0451769	−	0.0552297i
$520$	0.674370	+	0.565864i	0.0295731	+	0.0248148i
$521$	−19.5349	+	33.8354i	−0.855838	+	1.48235i	0.0200277	+	0.999799i	$0.493625\pi$
$521$	−19.5349	+	33.8354i	−0.855838	+	1.48235i	−0.875866	+	0.482555i	$0.839709\pi$
$522$	−22.1402	−	7.43601i	−0.969051	−	0.325466i
$523$	9.23273	−	5.33052i	0.403719	−	0.233087i	−0.284368	−	0.958715i	$-0.591784\pi$
$523$	9.23273	−	5.33052i	0.403719	−	0.233087i	0.688087	+	0.725628i	$0.258451\pi$
$524$	1.29913	−	7.36774i	0.0567528	−	0.321861i
$525$	18.0861	−	13.6611i	0.789343	−	0.596218i
$526$	20.3453	+	7.40508i	0.887097	+	0.322877i
$527$	0.126651	−	0.347970i	0.00551699	−	0.0151578i
$528$	3.72082	−	3.20238i	0.161928	−	0.139366i
$529$	0.593727	−	3.36719i	0.0258142	−	0.146400i
$530$	−1.26568	−	2.19222i	−0.0549775	−	0.0952239i
$531$	17.4925	−	15.4406i	0.759109	−	0.670066i
$532$	−4.39429	+	6.60083i	−0.190517	+	0.286182i
$533$	13.5360	−	16.1315i	0.586308	−	0.698734i
$534$	7.37939	+	6.03621i	0.319338	+	0.261213i
$535$	−0.616669	+	0.108735i	−0.0266609	+	0.00470104i
$536$	−9.44185	−	11.2524i	−0.407826	−	0.486028i
$537$	15.5139	−	0.194268i	0.669476	−	0.00838327i
$538$	1.54868	+	4.25497i	0.0667684	+	0.183445i
$539$	2.52262	−	19.6790i	0.108657	−	0.847636i
$540$	−0.740471	+	0.952969i	−0.0318648	+	0.0410093i
$541$	−5.09389			−0.219003			−0.109502	−	0.993987i	$-0.534925\pi$
$541$	−5.09389			−0.219003			−0.109502	+	0.993987i	$0.534925\pi$
$542$	−18.0526	+	6.57060i	−0.775425	+	0.282232i
$543$	15.6103	+	26.2726i	0.669904	+	1.12747i
$544$	4.95773	+	5.90840i	0.212561	+	0.253320i
$545$	0.0388367	+	0.220254i	0.00166358	+	0.00943464i
$546$	16.6048	−	5.09721i	0.710620	−	0.218140i
$547$	0.790568	+	0.663366i	0.0338023	+	0.0283635i	0.659532	−	0.751676i	$-0.270754\pi$
$547$	0.790568	+	0.663366i	0.0338023	+	0.0283635i	−0.625730	+	0.780040i	$0.715199\pi$
$548$	0.833378	+	0.481151i	0.0356002	+	0.0205538i
$549$	−24.0207	−	3.61785i	−1.02518	−	0.154406i
$550$	−7.00929	−	12.1405i	−0.298877	−	0.517671i
$551$	4.05181	−	22.9790i	0.172613	−	0.978937i
$552$	−2.53098	+	7.23441i	−0.107726	+	0.307917i
$553$	−10.5796	+	24.1554i	−0.449889	+	1.02719i
$554$	−9.49779	+	26.0950i	−0.403522	+	1.10867i
$555$	4.22185	−	0.799058i	0.179208	−	0.0339181i
$556$	9.24988	+	1.63100i	0.392282	+	0.0691700i
$557$	−5.42950	+	3.13472i	−0.230055	+	0.132823i	−0.610598	−	0.791941i	$-0.709071\pi$
$557$	−5.42950	+	3.13472i	−0.230055	+	0.132823i	0.380542	+	0.924764i	$0.375737\pi$
$558$	0.143988	−	0.00360663i	0.00609549	−	0.000152681i
$559$	−0.207258	−	0.119660i	−0.00876607	−	0.00506110i
$560$	−0.424171	+	0.444608i	−0.0179245	+	0.0187881i
$561$	6.10753	−	37.3677i	0.257860	−	1.57767i
$562$	0.329257	+	1.86731i	0.0138889	+	0.0787677i
$563$	26.1328	−	21.9280i	1.10136	−	0.924155i	0.103848	−	0.994593i	$-0.466884\pi$
$563$	26.1328	−	21.9280i	1.10136	−	0.924155i	0.997516	+	0.0704386i	$0.0224399\pi$
$564$	14.1697	+	7.94600i	0.596652	+	0.334587i
$565$	−0.940110	−	2.58293i	−0.0395507	−	0.108665i
$566$	11.1688			0.469460
$567$	7.83768	+	22.4849i	0.329152	+	0.944277i
$568$	−7.18844			−0.301620
$569$	12.6379	+	34.7224i	0.529809	+	1.45564i	0.859296	+	0.511478i	$0.170902\pi$
$569$	12.6379	+	34.7224i	0.529809	+	1.45564i	−0.329488	+	0.944160i	$0.606876\pi$
$570$	−1.05163	−	0.589724i	−0.0440477	−	0.0247008i
$571$	27.3641	−	22.9612i	1.14515	−	0.960898i	0.145558	−	0.989350i	$-0.453502\pi$
$571$	27.3641	−	22.9612i	1.14515	−	0.960898i	0.999595	+	0.0284517i	$0.00905767\pi$
$572$	−1.86549	−	10.5797i	−0.0780003	−	0.442361i
$573$	5.40541	−	33.0720i	0.225814	−	1.38160i
$574$	10.6354	+	10.1465i	0.443914	+	0.423509i
$575$	18.9542	+	10.9432i	0.790445	+	0.456364i
$576$	−1.43447	+	2.63482i	−0.0597697	+	0.109784i
$577$	−17.3391	+	10.0107i	−0.721837	+	0.416753i	−0.815428	−	0.578858i	$-0.803498\pi$
$577$	−17.3391	+	10.0107i	−0.721837	+	0.416753i	0.0935917	+	0.995611i	$0.470165\pi$
$578$	41.8428	+	7.37801i	1.74043	+	0.306885i
$579$	26.3555	−	4.98823i	1.09530	−	0.207304i
$580$	0.618425	−	1.69911i	0.0256787	−	0.0705516i
$581$	−3.96891	+	9.06187i	−0.164658	+	0.375950i
$582$	5.53788	−	15.8291i	0.229552	−	0.656139i
$583$	−5.36418	+	30.4218i	−0.222162	+	1.25994i
$584$	−4.59543	−	7.95952i	−0.190160	−	0.329367i
$585$	0.965129	+	2.45832i	0.0399032	+	0.101639i
$586$	−7.20102	−	4.15751i	−0.297471	−	0.171745i
$587$	5.09570	+	4.27580i	0.210322	+	0.176481i	0.741863	−	0.670551i	$-0.233942\pi$
$587$	5.09570	+	4.27580i	0.210322	+	0.176481i	−0.531541	+	0.847033i	$0.678387\pi$
$588$	2.81239	+	11.7937i	0.115981	+	0.486362i
$589$	0.0249874	+	0.141710i	0.00102959	+	0.00583907i
$590$	1.16110	+	1.38375i	0.0478019	+	0.0569680i
$591$	−1.05123	−	1.76925i	−0.0432418	−	0.0727771i
$592$	10.0370	−	3.65318i	0.412519	−	0.150145i
$593$	−9.73652			−0.399831			−0.199916	−	0.979813i	$-0.564067\pi$
$593$	−9.73652			−0.399831			−0.199916	+	0.979813i	$0.564067\pi$
$594$	14.3974	−	3.10028i	0.590733	−	0.127206i
$595$	−0.301921	+	4.72985i	−0.0123775	+	0.193905i
$596$	0.845583	+	2.32322i	0.0346364	+	0.0951628i
$597$	35.5117	−	0.444682i	1.45340	−	0.0181996i
$598$	10.7811	+	12.8484i	0.440871	+	0.525410i
$599$	−39.0298	+	6.88201i	−1.59472	+	0.281191i	−0.899272	−	0.437389i	$-0.855903\pi$
$599$	−39.0298	+	6.88201i	−1.59472	+	0.281191i	−0.695444	+	0.718581i	$0.744792\pi$
$600$	6.63100	+	5.42405i	0.270710	+	0.221436i
$601$	−12.1134	+	14.4362i	−0.494116	+	0.588865i	−0.954259	−	0.298980i	$-0.903354\pi$
$601$	−12.1134	+	14.4362i	−0.494116	+	0.588865i	0.460143	+	0.887845i	$0.347798\pi$
$602$	0.0925722	−	0.139056i	0.00377296	−	0.00566751i
$603$	−8.73639	−	43.1921i	−0.355773	−	1.75892i
$604$	7.61528	+	13.1901i	0.309861	+	0.536696i
$605$	−0.119652	+	0.678580i	−0.00486454	+	0.0275882i
$606$	6.10288	−	5.25254i	0.247913	−	0.213370i
$607$	−15.7713	+	43.3313i	−0.640138	+	1.75877i	0.0111535	+	0.999938i	$0.496450\pi$
$607$	−15.7713	+	43.3313i	−0.640138	+	1.75877i	−0.651292	+	0.758827i	$0.725773\pi$
$608$	−2.81641	−	1.02509i	−0.114220	−	0.0415728i
$609$	−21.5028	−	28.4679i	−0.871338	−	1.15358i
$610$	0.326567	−	1.85205i	0.0132223	−	0.0749874i
$611$	30.7882	−	17.7756i	1.24556	−	0.719123i
$612$	4.58731	+	22.6793i	0.185431	+	0.916757i
$613$	18.4097	−	31.8865i	0.743560	−	1.28788i	−0.207304	−	0.978276i	$-0.566469\pi$
$613$	18.4097	−	31.8865i	0.743560	−	1.28788i	0.950864	−	0.309607i	$-0.100198\pi$
$614$	2.26629	+	1.90164i	0.0914601	+	0.0767441i
$615$	−1.41505	+	1.72993i	−0.0570604	+	0.0697575i
$616$	7.45287	−	0.829071i	0.300285	−	0.0334042i
$617$	−15.5785	−	18.5657i	−0.627166	−	0.747428i	0.355119	−	0.934821i	$-0.384441\pi$
$617$	−15.5785	−	18.5657i	−0.627166	−	0.747428i	−0.982285	+	0.187393i	$0.939996\pi$
$618$	0.0178809	+	1.42795i	0.000719276	+	0.0574404i
$619$	−16.3070	−	44.8031i	−0.655434	−	1.80079i	−0.596624	−	0.802521i	$-0.703491\pi$
$619$	−16.3070	−	44.8031i	−0.655434	−	1.80079i	−0.0588105	−	0.998269i	$-0.518731\pi$
$620$			0.0111508i			0.000447827i
$621$	−17.0463	+	15.4308i	−0.684043	+	0.619215i
$622$			4.21002i			0.168806i
$623$	4.09895	+	13.9742i	0.164221	+	0.559865i
$624$	3.35347	+	5.64397i	0.134246	+	0.225940i
$625$	18.5335	−	15.5515i	0.741340	−	0.622058i
$626$	−1.07042	−	6.07067i	−0.0427827	−	0.242633i
$627$	5.20503	+	13.7621i	0.207869	+	0.549604i
$628$	−7.25691	+	8.64845i	−0.289582	+	0.345111i
$629$	41.1913	−	71.3454i	1.64240	−	2.84473i
$630$	−1.75539	+	0.563002i	−0.0699366	+	0.0224305i
$631$	11.9604	+	20.7160i	0.476135	+	0.824691i	0.999626	−	0.0273406i	$-0.00870386\pi$
$631$	11.9604	+	20.7160i	0.476135	+	0.824691i	−0.523491	+	0.852031i	$0.675371\pi$
$632$	−9.81576	−	1.73078i	−0.390450	−	0.0688468i
$633$	8.15337	−	23.3051i	0.324067	−	0.926294i
$634$	11.8718	+	4.32099i	0.471491	+	0.171609i
$635$	0.933854	+	0.339895i	0.0370589	+	0.0134883i
$636$	−3.51059	−	18.5484i	−0.139204	−	0.735491i
$637$	25.3314	+	7.89220i	1.00367	+	0.312700i
$638$	−19.1093	+	11.0328i	−0.756545	+	0.436792i
$639$	−18.9403	−	10.3116i	−0.749265	−	0.407922i
$640$	−0.201139	−	0.116128i	−0.00795072	−	0.00459035i
$641$	2.25082	−	2.68243i	0.0889022	−	0.105949i	−0.719759	−	0.694224i	$-0.755748\pi$
$641$	2.25082	−	2.68243i	0.0889022	−	0.105949i	0.808662	+	0.588274i	$0.200192\pi$
$642$	−4.60862	−	0.753251i	−0.181888	−	0.0297284i
$643$	−19.1077	+	3.36920i	−0.753533	+	0.132868i	−0.537204	−	0.843452i	$-0.680520\pi$
$643$	−19.1077	+	3.36920i	−0.753533	+	0.132868i	−0.216329	+	0.976320i	$0.569408\pi$
$644$	−9.42966	+	6.93884i	−0.371581	+	0.273429i
$645$	0.0221540	+	0.0124234i	0.000872315	+	0.000489171i
$646$	−21.7226	+	7.90637i	−0.854663	+	0.311072i
$647$	−24.0509			−0.945539			−0.472769	−	0.881186i	$-0.656746\pi$
$647$	−24.0509			−0.945539			−0.472769	+	0.881186i	$0.656746\pi$
$648$	−7.55916	+	4.88457i	−0.296952	+	0.191884i
$649$		−	22.0436i		−	0.865288i
$650$	17.6167	−	6.41194i	0.690982	−	0.251497i
$651$	0.184655	+	0.119619i	0.00723720	+	0.00468822i
$652$	−7.60305	+	6.37972i	−0.297758	+	0.249849i
$653$	−38.3619	+	6.76425i	−1.50122	+	0.264705i	−0.863021	−	0.505167i	$-0.831431\pi$
$653$	−38.3619	+	6.76425i	−1.50122	+	0.264705i	−0.638197	+	0.769873i	$0.720320\pi$
$654$	−0.269037	+	1.64605i	−0.0105202	+	0.0643656i
$655$	1.33107	+	1.11690i	0.0520094	+	0.0436410i
$656$	−2.77788	+	4.81142i	−0.108458	+	0.187854i
$657$	−0.690426	−	27.5639i	−0.0269361	−	1.07537i
$658$	11.0135	+	22.2377i	0.429352	+	0.866914i
$659$	1.50364	+	0.265133i	0.0585737	+	0.0103281i	0.202858	−	0.979208i	$-0.434977\pi$
$659$	1.50364	+	0.265133i	0.0585737	+	0.0103281i	−0.144285	+	0.989536i	$0.546088\pi$
$660$	0.212033	+	1.12029i	0.00825338	+	0.0436071i
$661$	0.634483	−	1.74323i	0.0246785	−	0.0678037i	−0.926742	−	0.375699i	$-0.877403\pi$
$661$	0.634483	−	1.74323i	0.0246785	−	0.0678037i	0.951420	+	0.307896i	$0.0996248\pi$
$662$	5.95473	−	16.3605i	0.231437	−	0.635868i
$663$	47.7949	+	16.7212i	1.85620	+	0.649398i
$664$	−3.68236	−	0.649300i	−0.142903	−	0.0251977i
$665$	−0.817385	−	1.65040i	−0.0316968	−	0.0639998i
$666$	31.6862	+	4.77237i	1.22781	+	0.184926i
$667$	17.2249	−	29.8343i	0.666949	−	1.15519i
$668$	−17.4312	−	14.6265i	−0.674432	−	0.565915i
$669$	−29.1656	+	11.0309i	−1.12761	+	0.426479i
$670$	3.35975	−	0.592414i	0.129798	−	0.0228870i
$671$	−17.5807	+	14.7519i	−0.678694	+	0.569492i
$672$	−4.08074	+	2.08508i	−0.157418	+	0.0804336i
$673$	−36.8401	+	13.4087i	−1.42008	+	0.516868i	−0.934072	−	0.357085i	$-0.883771\pi$
$673$	−36.8401	+	13.4087i	−1.42008	+	0.516868i	−0.486011	+	0.873953i	$0.661548\pi$
$674$		−	23.6106i		−	0.909445i
$675$	9.69086	+	23.8034i	0.373002	+	0.916193i
$676$	1.36671			0.0525659
$677$	31.8168	−	11.5804i	1.22282	−	0.445070i	0.351688	−	0.936117i	$-0.385608\pi$
$677$	31.8168	−	11.5804i	1.22282	−	0.445070i	0.871133	+	0.491047i	$0.163386\pi$
$678$	−0.256665	−	20.4969i	−0.00985714	−	0.787178i
$679$	20.6324	−	15.1824i	0.791799	−	0.582648i
$680$	−1.76414	+	0.311065i	−0.0676516	+	0.0119288i
$681$	−1.96526	+	2.40257i	−0.0753090	+	0.0920668i
$682$	0.0874688	−	0.104241i	0.00334935	−	0.00399160i
$683$	13.6468	+	7.87900i	0.522181	+	0.301481i	0.737827	−	0.674990i	$-0.235852\pi$
$683$	13.6468	+	7.87900i	0.522181	+	0.301481i	−0.215645	+	0.976472i	$0.569186\pi$
$684$	−5.95027	−	6.74099i	−0.227514	−	0.257748i
$685$	−0.193556	+	0.111750i	−0.00739541	+	0.00426974i
$686$	−6.62416	+	17.2951i	−0.252911	+	0.660330i
$687$	−10.4583	+	9.00107i	−0.399008	+	0.343412i
$688$	0.0593318	+	0.0215950i	0.00226200	+	0.000823302i
$689$	−38.8197	−	14.1292i	−1.47891	−	0.538280i
$690$	−1.16120	−	1.34919i	−0.0442063	−	0.0513630i
$691$	−9.13991	−	1.61161i	−0.347699	−	0.0613086i	−0.00292821	−	0.999996i	$-0.500932\pi$
$691$	−9.13991	−	1.61161i	−0.347699	−	0.0613086i	−0.344770	+	0.938687i	$0.612043\pi$
$692$	0.469252	+	0.812768i	0.0178383	+	0.0308968i
$693$	20.8263	+	8.50648i	0.791124	+	0.323135i
$694$	17.4797	−	30.2758i	0.663522	−	1.14925i
$695$	−1.40223	+	1.67111i	−0.0531895	+	0.0633887i
$696$	8.53756	−	10.4373i	0.323615	−	0.395626i
$697$	7.44096	+	42.1998i	0.281846	+	1.59843i
$698$	−0.252878	+	0.212190i	−0.00957158	+	0.00803151i
$699$	−13.0596	+	0.163534i	−0.493958	+	0.00618541i
$700$	3.68325	+	12.5570i	0.139214	+	0.474610i
$701$			10.8244i			0.408833i	0.978884	+	0.204416i	$0.0655297\pi$
$701$			10.8244i			0.408833i	−0.978884	+	0.204416i	$0.934470\pi$
$702$	0.739665	+	19.6813i	0.0279169	+	0.742823i
$703$			32.0132i			1.20740i
$704$	0.969386	+	2.66337i	0.0365351	+	0.100379i
$705$	−3.24374	+	1.92733i	−0.122166	+	0.0725874i
$706$	−15.5435	−	18.5241i	−0.584989	−	0.697163i
$707$	12.2242	−	1.35984i	0.459738	−	0.0511421i
$708$	4.76548	+	12.5999i	0.179098	+	0.473532i
$709$	−25.6899	−	21.5564i	−0.964806	−	0.809569i	0.0169220	−	0.999857i	$-0.494613\pi$
$709$	−25.6899	−	21.5564i	−0.964806	−	0.809569i	−0.981728	+	0.190288i	$0.939058\pi$
$710$	0.834777	−	1.44588i	0.0313286	−	0.0542627i
$711$	−23.3800	−	18.6407i	−0.876819	−	0.699082i
$712$	−4.76685	+	2.75214i	−0.178645	+	0.103141i
$713$	−0.0368915	+	0.209222i	−0.00138160	+	0.00783543i
$714$	−13.7734	+	32.5507i	−0.515456	+	1.21818i
$715$	2.34463	+	0.853377i	0.0876844	+	0.0319145i
$716$	−3.06371	+	8.41747i	−0.114496	+	0.314576i
$717$	3.74991	+	19.8128i	0.140043	+	0.739923i
$718$	−1.13533	+	6.43877i	−0.0423701	+	0.240293i
$719$	12.4783	+	21.6131i	0.465362	+	0.806031i	0.999218	−	0.0395446i	$-0.0125907\pi$
$719$	12.4783	+	21.6131i	0.465362	+	0.806031i	−0.533856	+	0.845576i	$0.679257\pi$
$720$	−0.363383	−	0.594504i	−0.0135425	−	0.0221559i
$721$	−1.20883	+	1.81582i	−0.0450190	+	0.0676248i
$722$	−6.43883	+	7.67350i	−0.239629	+	0.285578i
$723$	6.86166	−	41.9818i	0.255188	−	1.56132i
$724$	−17.3760	+	3.06385i	−0.645772	+	0.113867i
$725$	−24.7512	−	29.4973i	−0.919236	−	1.09550i
$726$	−2.51337	+	4.48198i	−0.0932801	+	0.166342i
$727$	4.85787	+	13.3469i	0.180168	+	0.495009i	0.996596	−	0.0824390i	$-0.0262710\pi$
$727$	4.85787	+	13.3469i	0.180168	+	0.495009i	−0.816428	+	0.577448i	$0.804049\pi$
$728$	−0.638837	+	10.0079i	−0.0236769	+	0.370919i
$729$	−26.9238	+	2.02657i	−0.997179	+	0.0750582i
$730$	2.13463			0.0790060
$731$	0.457618	−	0.166559i	0.0169256	−	0.00616042i
$732$	6.85977	−	12.2327i	0.253544	−	0.452133i
$733$	22.0630	+	26.2937i	0.814916	+	0.971179i	0.999933	−	0.0115566i	$-0.00367865\pi$
$733$	22.0630	+	26.2937i	0.814916	+	0.971179i	−0.185018	+	0.982735i	$0.559234\pi$
$734$	−0.545344	−	3.09280i	−0.0201290	−	0.114157i
$735$	−2.69876	−	0.803889i	−0.0995453	−	0.0296519i
$736$	−3.38977	−	2.84435i	−0.124948	−	0.104844i
$737$	−36.0550	−	20.8164i	−1.32810	−	0.766781i
$738$	−14.2211	+	8.69245i	−0.523485	+	0.319974i
$739$	−23.7140	−	41.0739i	−0.872334	−	1.51093i	−0.859575	−	0.511009i	$-0.829272\pi$
$739$	−23.7140	−	41.0739i	−0.872334	−	1.51093i	−0.0127588	−	0.999919i	$-0.504061\pi$
$740$	−0.430780	+	2.44307i	−0.0158358	+	0.0898092i
$741$	−19.3333	+	3.65916i	−0.710227	+	0.134423i
$742$	11.5687	−	26.4138i	0.424699	−	0.969680i
$743$	3.03366	−	8.33490i	0.111294	−	0.305778i	−0.871525	−	0.490352i	$-0.836868\pi$
$743$	3.03366	−	8.33490i	0.111294	−	0.305778i	0.982819	+	0.184574i	$0.0590905\pi$
$744$	−0.0274608	+	0.0784924i	−0.00100676	+	0.00287767i
$745$	−0.565486	−	0.0997104i	−0.0207178	−	0.00365311i
$746$	10.7126	−	6.18490i	0.392215	−	0.226445i
$747$	−8.77097	−	6.99304i	−0.320913	−	0.255862i
$748$	18.9318	+	10.9303i	0.692214	+	0.399650i
$749$	−5.16115	−	4.92391i	−0.188584	−	0.179916i
$750$	−3.74236	+	1.41542i	−0.136651	+	0.0516838i
$751$	−2.28035	−	12.9325i	−0.0832110	−	0.471913i	−0.997728	−	0.0673663i	$-0.978540\pi$
$751$	−2.28035	−	12.9325i	−0.0832110	−	0.471913i	0.914517	−	0.404547i	$-0.132571\pi$
$752$	−7.18503	+	6.02896i	−0.262011	+	0.219854i
$753$	6.35305	−	3.77478i	0.231518	−	0.137561i
$754$	−10.0925	−	27.7290i	−0.367548	−	1.00983i
$755$	−3.53738			−0.128738
$756$	−13.7430	−	0.359903i	−0.499829	−	0.0130896i
$757$	−39.7287			−1.44396			−0.721982	−	0.691912i	$-0.756769\pi$
$757$	−39.7287			−1.44396			−0.721982	+	0.691912i	$0.756769\pi$
$758$	−1.01068	−	2.77681i	−0.0367094	−	0.100858i
$759$	0.271998	+	21.7214i	0.00987290	+	0.788437i
$760$	0.533248	−	0.447448i	0.0193429	−	0.0162306i
$761$	7.85394	+	44.5419i	0.284705	+	1.61464i	0.706337	+	0.707876i	$0.250346\pi$
$761$	7.85394	+	44.5419i	0.284705	+	1.61464i	−0.421632	+	0.906767i	$0.638542\pi$
$762$	5.73651	+	4.69237i	0.207812	+	0.169986i
$763$	−1.75866	+	1.84340i	−0.0636678	+	0.0667354i
$764$	16.7554	+	9.67373i	0.606189	+	0.349983i
$765$	−5.09441	−	1.71101i	−0.184189	−	0.0618616i
$766$	5.80884	−	3.35374i	0.209882	−	0.121175i
$767$	29.0314	+	5.11902i	1.04826	+	0.184837i
$768$	−1.12987	−	1.31278i	−0.0407706	−	0.0473710i
$769$	15.8770	−	43.6217i	0.572539	−	1.57304i	−0.227938	−	0.973676i	$-0.573198\pi$
$769$	15.8770	−	43.6217i	0.572539	−	1.57304i	0.800478	−	0.599363i	$-0.204579\pi$
$770$	−0.698725	+	1.59534i	−0.0251803	+	0.0574921i
$771$	23.0164	+	26.7426i	0.828916	+	0.963111i
$772$	−2.68920	+	15.2512i	−0.0967866	+	0.548904i
$773$	2.26201	+	3.91791i	0.0813587	+	0.140917i	0.903834	−	0.427884i	$-0.140741\pi$
$773$	2.26201	+	3.91791i	0.0813587	+	0.140917i	−0.822475	+	0.568801i	$0.807407\pi$
$774$	0.125351	+	0.142009i	0.00450566	+	0.00510440i
$775$	0.205651	+	0.118732i	0.00738719	+	0.00426500i
$776$	7.41692	+	6.22354i	0.266252	+	0.223412i
$777$	35.8357	+	33.3414i	1.28560	+	1.19611i
$778$	−2.56169	−	14.5281i	−0.0918410	−	0.520856i
$779$	−10.7034	−	12.7558i	−0.383488	−	0.457023i
$780$	−1.52465	+	0.0190919i	−0.0545913	+	0.000683599i
$781$	−19.1455	+	6.96837i	−0.685078	+	0.249348i
$782$	−34.1296			−1.22047
$783$	37.4670	−	15.2536i	1.33896	−	0.545120i
$784$	−6.94319	−	0.890036i	−0.247971	−	0.0317870i
$785$	−0.896813	−	2.46397i	−0.0320086	−	0.0879430i
$786$	6.61908	+	11.1401i	0.236095	+	0.397354i
$787$	−6.46374	−	7.70319i	−0.230407	−	0.274589i	0.638437	−	0.769674i	$-0.279581\pi$
$787$	−6.46374	−	7.70319i	−0.230407	−	0.274589i	−0.868844	+	0.495085i	$0.835137\pi$
$788$	1.17013	−	0.206325i	0.0416841	−	0.00735004i
$789$	−35.0757	+	13.2662i	−1.24873	+	0.472289i
$790$	1.48801	−	1.77334i	0.0529410	−	0.0630926i
$791$	17.3516	−	26.0645i	0.616953	−	0.926748i
$792$	−1.26637	+	8.40806i	−0.0449984	+	0.298767i
$793$	−15.3456	−	26.5794i	−0.544939	−	0.943862i
$794$	2.94087	−	16.6785i	0.104367	−	0.591897i
$795$	4.13848	+	1.44786i	0.146777	+	0.0513503i
$796$	−7.01288	+	19.2677i	−0.248565	+	0.682927i
$797$	−10.1906	−	3.70907i	−0.360969	−	0.131382i	0.155168	−	0.987888i	$-0.450408\pi$
$797$	−10.1906	−	3.70907i	−0.360969	−	0.131382i	−0.516137	+	0.856506i	$0.672630\pi$
$798$	−1.68931	−	13.6304i	−0.0598009	−	0.482512i
$799$	−12.5621	+	71.2430i	−0.444414	+	2.52040i
$800$	−4.28341	+	2.47303i	−0.151441	+	0.0874348i
$801$	−16.5077	+	0.413487i	−0.583270	+	0.0146098i
$802$	−2.00931	+	3.48023i	−0.0709512	+	0.122891i
$803$	−19.9552	−	16.7444i	−0.704202	−	0.590896i
$804$	25.1088	+	4.10388i	0.885519	+	0.144733i
$805$	−0.300627	−	2.70246i	−0.0105957	−	0.0952493i
$806$	0.116973	+	0.139403i	0.00412021	+	0.00491027i
$807$	−6.84063	−	3.83605i	−0.240802	−	0.135035i
$808$	1.58999	+	4.36845i	0.0559356	+	0.153682i
$809$			13.6523i			0.479989i	0.970774	+	0.239995i	$0.0771457\pi$
$809$			13.6523i			0.479989i	−0.970774	+	0.239995i	$0.922854\pi$
$810$	−0.104651	−	2.08768i	−0.00367705	−	0.0733535i
$811$			19.7335i			0.692936i	0.938062	+	0.346468i	$0.112619\pi$
$811$			19.7335i			0.692936i	−0.938062	+	0.346468i	$0.887381\pi$
$812$	19.7650	−	5.79751i	0.693614	−	0.203453i
$813$	16.2752	−	29.0228i	0.570797	−	1.01787i
$814$	23.1910	−	19.4595i	0.812843	−	0.682056i
$815$	−0.400285	−	2.27013i	−0.0140214	−	0.0795192i
$816$	−13.1841	−	2.15487i	−0.461537	−	0.0754354i
$817$	−0.121641	+	0.144966i	−0.00425567	+	0.00507171i
$818$	14.6167	−	25.3169i	0.511062	−	0.885185i
$819$	−16.0393	+	25.4527i	−0.560460	+	0.889391i
$820$	−0.645176	−	1.11748i	−0.0225305	−	0.0390240i
$821$	1.86908	+	0.329569i	0.0652313	+	0.0115020i	0.206169	−	0.978516i	$-0.433900\pi$
$821$	1.86908	+	0.329569i	0.0652313	+	0.0115020i	−0.140937	+	0.990019i	$0.545012\pi$
$822$	−1.63768	+	0.309959i	−0.0571207	+	0.0108111i
$823$	−48.9919	−	17.8316i	−1.70775	−	0.621570i	−0.711081	−	0.703111i	$-0.751794\pi$
$823$	−48.9919	−	17.8316i	−1.70775	−	0.621570i	−0.996670	+	0.0815401i	$0.974016\pi$
$824$	−0.774767	−	0.281992i	−0.0269903	−	0.00982366i
$825$	22.9188	+	8.01822i	0.797930	+	0.279159i
$826$	−4.85686	+	19.9958i	−0.168992	+	0.695744i
$827$	21.6555	−	12.5028i	0.753037	−	0.434766i	−0.0737533	−	0.997277i	$-0.523498\pi$
$827$	21.6555	−	12.5028i	0.753037	−	0.434766i	0.826790	+	0.562511i	$0.190164\pi$
$828$	−4.85129	−	12.3569i	−0.168594	−	0.429432i
$829$	19.8724	+	11.4733i	0.690197	+	0.398485i	0.803686	−	0.595054i	$-0.202869\pi$
$829$	19.8724	+	11.4733i	0.690197	+	0.398485i	−0.113489	+	0.993539i	$0.536203\pi$
$830$	0.558224	−	0.665265i	0.0193762	−	0.0230917i
$831$	−17.0153	−	44.9883i	−0.590254	−	1.56063i
$832$	−3.73276	+	0.658186i	−0.129410	+	0.0228185i
$833$	−45.4357	+	29.1638i	−1.57425	+	1.01047i
$834$	−13.9859	+	8.30998i	−0.484293	+	0.287751i
$835$	4.96619	−	1.80755i	0.171862	−	0.0625527i
$836$	−8.49483			−0.293800
$837$	−0.184950	+	0.167422i	−0.00639280	+	0.00578694i
$838$			11.7042i			0.404316i
$839$	−49.9575	+	18.1830i	−1.72472	+	0.627748i	−0.998233	−	0.0594284i	$-0.981072\pi$
$839$	−49.9575	+	18.1830i	−1.72472	+	0.627748i	−0.726491	+	0.687176i	$0.758850\pi$
$840$	0.0544964	−	1.06293i	0.00188030	−	0.0366746i
$841$	−24.2141	+	20.3180i	−0.834969	+	0.700622i
$842$	−20.9436	+	3.69292i	−0.721764	+	0.127266i
$843$	−2.54206	−	2.07936i	−0.0875531	−	0.0716169i
$844$	10.9199	+	9.16286i	0.375877	+	0.315398i
$845$	−0.158713	+	0.274899i	−0.00545990	+	0.00945682i
$846$	−27.5797	+	5.57850i	−0.948208	+	0.191793i
$847$	−7.03393	+	3.48366i	−0.241689	+	0.119700i
$848$	10.7334	+	1.89260i	0.368588	+	0.0649920i
$849$	−14.6622	+	12.6193i	−0.503207	+	0.433092i
$850$	−13.0475	+	35.8476i	−0.447525	+	1.22956i
$851$	−16.1654	+	44.4141i	−0.554144	+	1.52250i
$852$	9.43687	−	8.12198i	0.323302	−	0.278255i
$853$	26.4793	+	4.66901i	0.906633	+	0.159864i	0.607474	−	0.794340i	$-0.292183\pi$
$853$	26.4793	+	4.66901i	0.906633	+	0.159864i	0.299159	+	0.954203i	$0.403294\pi$
$854$	19.1977	−	9.50797i	0.656933	−	0.325356i
$855$	2.04687	−	0.414016i	0.0700013	−	0.0141591i
$856$	1.34805	−	2.33488i	0.0460753	−	0.0798047i
$857$	19.3956	+	16.2748i	0.662541	+	0.555938i	0.910847	−	0.412744i	$-0.135430\pi$
$857$	19.3956	+	16.2748i	0.662541	+	0.555938i	−0.248306	+	0.968682i	$0.579874\pi$
$858$	14.4027	+	11.7812i	0.491700	+	0.402202i
$859$	45.8517	−	8.08490i	1.56444	−	0.275853i	0.676722	−	0.736239i	$-0.263400\pi$
$859$	45.8517	−	8.08490i	1.56444	−	0.275853i	0.887719	+	0.460386i	$0.152289\pi$
$860$	−0.0112337	+	0.00942616i	−0.000383065	+	0.000321429i
$861$	−25.4263	−	1.30360i	−0.866525	−	0.0444266i
$862$	−20.2064	+	7.35454i	−0.688234	+	0.250497i
$863$		−	7.71346i		−	0.262569i	−0.991345	−	0.131285i	$-0.958090\pi$
$863$		−	7.71346i		−	0.262569i	0.991345	−	0.131285i	$-0.0419102\pi$
$864$	−1.09385	−	5.07971i	−0.0372134	−	0.172815i
$865$	−0.217972			−0.00741129
$866$	2.81980	−	1.02632i	0.0958206	−	0.0348759i
$867$	−63.2667	+	37.5910i	−2.14865	+	1.27666i
$868$	−0.102311	+	0.0752855i	−0.00347265	+	0.00255536i
$869$	−27.8208	+	4.90555i	−0.943754	+	0.166409i
$870$	1.10791	+	2.92930i	0.0375616	+	0.0993125i
$871$	35.7879	−	42.6503i	1.21263	−	1.44515i
$872$	−0.833945	−	0.481478i	−0.0282409	−	0.0163049i
$873$	10.6148	+	27.0373i	0.359256	+	0.915074i
$874$	11.4857	−	6.63125i	0.388508	−	0.224305i
$875$	−5.93907	−	1.44256i	−0.200777	−	0.0487675i
$876$	15.0260	+	5.25690i	0.507682	+	0.177614i
$877$	39.8399	+	14.5005i	1.34530	+	0.489648i	0.911477	−	0.411351i	$-0.134943\pi$
$877$	39.8399	+	14.5005i	1.34530	+	0.489648i	0.433821	+	0.900999i	$0.357165\pi$
$878$	19.9961	+	7.27799i	0.674836	+	0.245620i
$879$	14.1508	−	2.67828i	0.477295	−	0.0903362i
$880$	−0.648279	−	0.114309i	−0.0218535	−	0.00385336i
$881$	14.6298	+	25.3396i	0.492892	+	0.853714i	0.999966	−	0.00818832i	$-0.00260645\pi$
$881$	14.6298	+	25.3396i	0.492892	+	0.853714i	−0.507075	+	0.861902i	$0.669273\pi$
$882$	−17.0173	−	12.3049i	−0.573003	−	0.414327i
$883$	9.35772	−	16.2080i	0.314912	−	0.545444i	−0.664507	−	0.747282i	$-0.731358\pi$
$883$	9.35772	−	16.2080i	0.314912	−	0.545444i	0.979419	+	0.201838i	$0.0646915\pi$
$884$	−18.7915	+	22.3949i	−0.632027	+	0.753221i
$885$	−3.08773	−	0.504671i	−0.103793	−	0.0169643i
$886$	4.88916	+	27.7278i	0.164254	+	0.931533i
$887$	28.0597	−	23.5449i	0.942152	−	0.790560i	−0.0358063	−	0.999359i	$-0.511400\pi$
$887$	28.0597	−	23.5449i	0.942152	−	0.790560i	0.977959	+	0.208799i	$0.0669555\pi$
$888$	−9.04884	+	16.1363i	−0.303659	+	0.541500i
$889$	3.18639	+	10.8631i	0.106868	+	0.364337i
$890$		−	1.27840i		−	0.0428520i
$891$	−15.3978	+	20.3372i	−0.515845	+	0.681320i
$892$		−	18.0029i		−	0.602782i
$893$	−9.61471	−	26.4162i	−0.321744	−	0.883984i
$894$	−3.73500	−	2.09449i	−0.124917	−	0.0700502i
$895$	−1.33730	−	1.59373i	−0.0447010	−	0.0532726i
$896$	−0.292514	−	2.62953i	−0.00977221	−	0.0878465i
$897$	−28.6702	−	4.68597i	−0.957270	−	0.156460i
$898$	−19.0360	−	15.9731i	−0.635239	−	0.533029i
$899$	0.186887	−	0.323698i	0.00623304	−	0.0107959i
$900$	−14.8335	+	0.371553i	−0.494451	+	0.0123851i
$901$	72.8004	−	42.0314i	2.42533	−	1.40027i
$902$	−2.73438	+	15.5074i	−0.0910448	+	0.516340i
$903$	0.0355878	+	0.287145i	0.00118429	+	0.00955559i
$904$	11.1211	+	4.04774i	0.369882	+	0.134626i
$905$	1.40157	−	3.85078i	0.0465897	−	0.128004i
$906$	−24.9002	−	8.71143i	−0.827254	−	0.289418i
$907$	−1.37559	+	7.80135i	−0.0456757	+	0.259040i	−0.999091	−	0.0426201i	$-0.986429\pi$
$907$	−1.37559	+	7.80135i	−0.0456757	+	0.259040i	0.953416	+	0.301660i	$0.0975406\pi$
$908$	−0.896038	−	1.55198i	−0.0297361	−	0.0515044i
$909$	−2.07710	+	13.7909i	−0.0688929	+	0.457415i
$910$	−1.93880	−	1.29069i	−0.0642706	−	0.0427861i
$911$	−4.39483	+	5.23756i	−0.145607	+	0.173528i	−0.833919	−	0.551887i	$-0.813908\pi$
$911$	−4.39483	+	5.23756i	−0.145607	+	0.173528i	0.688311	+	0.725415i	$0.258352\pi$
$912$	4.85555	−	1.83645i	0.160783	−	0.0608108i
$913$	−10.4369	+	1.84031i	−0.345411	+	0.0609053i
$914$	−2.17745	−	2.59499i	−0.0720238	−	0.0858346i
$915$	1.66386	+	2.80032i	0.0550055	+	0.0925757i
$916$	−2.72470	−	7.48605i	−0.0900266	−	0.247346i
$917$	−1.26094	+	19.7537i	−0.0416399	+	0.652325i
$918$	−31.6467	−	24.5900i	−1.04450	−	0.811590i
$919$	47.5931			1.56995			0.784975	−	0.619527i	$-0.212676\pi$
$919$	47.5931			1.56995			0.784975	+	0.619527i	$0.212676\pi$
$920$	0.965756	−	0.351506i	0.0318400	−	0.0115888i
$921$	−5.12375	+	0.0641603i	−0.168833	+	0.00211415i
$922$	−3.40454	−	4.05737i	−0.112123	−	0.133623i
$923$	−4.73133	−	26.8327i	−0.155734	−	0.883210i
$924$	−8.84726	+	9.50914i	−0.291054	+	0.312828i
$925$	40.4699	+	33.9583i	1.33064	+	1.11654i
$926$	8.05149	+	4.64853i	0.264588	+	0.152760i
$927$	−1.63686	−	1.85438i	−0.0537616	−	0.0609058i
$928$	3.89260	+	6.74218i	0.127781	+	0.221323i
$929$	2.05228	−	11.6391i	0.0673331	−	0.381865i	−0.932455	−	0.361286i	$-0.882338\pi$
$929$	2.05228	−	11.6391i	0.0673331	−	0.381865i	0.999788	−	0.0205792i	$-0.00655104\pi$
$930$	−0.0125989	−	0.0146386i	−0.000413135	−	0.000480018i
$931$	9.62408	−	18.6425i	0.315417	−	0.610982i
$932$	2.57902	−	7.08579i	0.0844785	−	0.232103i
$933$	−4.75676	−	5.52684i	−0.155729	−	0.180941i
$934$	24.8073	+	4.37419i	0.811718	+	0.143128i
$935$	−4.39701	+	2.53861i	−0.143797	+	0.0830215i
$936$	−10.7793	−	3.62034i	−0.352333	−	0.118335i
$937$	−42.2787	−	24.4096i	−1.38119	−	0.797428i	−0.388886	−	0.921286i	$-0.627140\pi$
$937$	−42.2787	−	24.4096i	−1.38119	−	0.797428i	−0.992300	+	0.123858i	$0.960473\pi$
$938$	28.1191	+	26.8266i	0.918122	+	0.875918i
$939$	8.26429	+	6.76004i	0.269695	+	0.220606i
$940$	−0.378278	−	2.14532i	−0.0123381	−	0.0699726i
$941$	30.1980	−	25.3392i	0.984428	−	0.826033i	−0.000323708	−	1.00000i	$-0.500103\pi$
$941$	30.1980	−	25.3392i	0.984428	−	0.826033i	0.984751	+	0.173967i	$0.0556586\pi$
$942$	−0.244844	−	19.5529i	−0.00797744	−	0.637068i
$943$	−8.40834	−	23.1017i	−0.273813	−	0.752296i
$944$	−7.77746			−0.253135
$945$	1.66833	−	2.72246i	0.0542709	−	0.0885617i
$946$	0.178956			0.00581837
$947$	2.49766	+	6.86227i	0.0811631	+	0.222994i	0.973636	−	0.228107i	$-0.0732536\pi$
$947$	2.49766	+	6.86227i	0.0811631	+	0.222994i	−0.892473	+	0.451101i	$0.851031\pi$
$948$	14.8415	−	8.81836i	0.482030	−	0.286407i
$949$	26.6863	−	22.3925i	0.866275	−	0.726891i
$950$	−2.57418	−	14.5989i	−0.0835175	−	0.473651i
$951$	−20.4673	+	7.74106i	−0.663698	+	0.251021i
$952$	−14.7648	−	14.0861i	−0.478530	−	0.456533i
$953$	20.2399	+	11.6855i	0.655636	+	0.378531i	0.790612	−	0.612317i	$-0.209763\pi$
$953$	20.2399	+	11.6855i	0.655636	+	0.378531i	−0.134976	+	0.990849i	$0.543096\pi$
$954$	25.5658	+	20.3835i	0.827725	+	0.659940i
$955$	−3.89153	+	2.24677i	−0.125927	+	0.0727039i
$956$	−11.4651	−	2.02162i	−0.370809	−	0.0653837i
$957$	12.6208	−	36.0746i	0.407974	−	1.16613i
$958$	2.94807	−	8.09975i	0.0952478	−	0.261691i
$959$	−2.33214	−	1.02143i	−0.0753087	−	0.0329836i
$960$	0.395261	−	0.0748098i	0.0127570	−	0.00241448i
$961$	5.38269	−	30.5268i	0.173635	−	0.984735i
$962$	20.2427	+	35.0614i	0.652651	+	1.13042i
$963$	6.90119	−	4.21827i	0.222388	−	0.135932i
$964$	21.2694	+	12.2799i	0.685041	+	0.395509i
$965$	−2.75533	−	2.31199i	−0.0886971	−	0.0744257i
$966$	4.53914	−	19.7635i	0.146044	−	0.635879i
$967$	−1.48205	−	8.40511i	−0.0476595	−	0.270290i	0.951661	−	0.307150i	$-0.0993755\pi$
$967$	−1.48205	−	8.40511i	−0.0476595	−	0.270290i	−0.999320	+	0.0368602i	$0.988264\pi$
$968$	−1.90700	−	2.27268i	−0.0612934	−	0.0730466i
$969$	19.5839	−	34.9230i	0.629125	−	1.12189i
$970$	−2.11311	+	0.769108i	−0.0678477	+	0.0246946i
$971$	−11.2762			−0.361870			−0.180935	−	0.983495i	$-0.557912\pi$
$971$	−11.2762			−0.361870			−0.180935	+	0.983495i	$0.557912\pi$
$972$	4.40462	−	14.9532i	0.141278	−	0.479625i
$973$	−24.8000	−	1.58306i	−0.795050	−	0.0507504i
$974$	−0.626255	−	1.72062i	−0.0200665	−	0.0551323i
$975$	−15.8822	+	28.3220i	−0.508638	+	0.907029i
$976$	5.20479	+	6.20283i	0.166601	+	0.198548i
$977$	−22.8801	+	4.03438i	−0.731999	+	0.129071i	−0.527210	−	0.849735i	$-0.676762\pi$
$977$	−22.8801	+	4.03438i	−0.731999	+	0.129071i	−0.204789	+	0.978806i	$0.565651\pi$
$978$	2.77293	−	16.9656i	0.0886685	−	0.542501i
$979$	−10.0280	+	11.9509i	−0.320495	+	0.381952i
$980$	0.985317	−	1.29319i	0.0314748	−	0.0413094i
$981$	−1.50663	−	2.46488i	−0.0481030	−	0.0786976i
$982$	−13.2580	−	22.9636i	−0.423081	−	0.732798i
$983$	0.764628	−	4.33642i	0.0243879	−	0.138310i	−0.970183	−	0.242375i	$-0.922074\pi$
$983$	0.764628	−	4.33642i	0.0243879	−	0.138310i	0.994571	+	0.104064i	$0.0331848\pi$
$984$	−1.78952	−	9.45499i	−0.0570477	−	0.301414i
$985$	−0.0943843	+	0.259319i	−0.00300733	+	0.00826258i
$986$	56.4249	+	20.5370i	1.79694	+	0.654031i
$987$	−39.5840	−	16.7494i	−1.25997	−	0.533140i
$988$	1.97269	−	11.1877i	0.0627596	−	0.355927i
$989$	−0.241963	+	0.139697i	−0.00769396	+	0.00444211i
$990$	−1.54413	−	1.23112i	−0.0490756	−	0.0391277i
$991$	5.66325	−	9.80904i	0.179899	−	0.311594i	−0.761947	−	0.647640i	$-0.775756\pi$
$991$	5.66325	−	9.80904i	0.179899	−	0.311594i	0.941846	+	0.336045i	$0.109090\pi$
$992$	−0.0367785	−	0.0308608i	−0.00116772	−	0.000979833i
$993$	10.6679	+	28.2058i	0.338536	+	0.895085i
$994$	18.9022	−	2.10272i	0.599542	−	0.0666942i
$995$	−3.06110	−	3.64808i	−0.0970435	−	0.115652i
$996$	5.56777	−	3.30819i	0.176422	−	0.104824i
$997$	10.8415	+	29.7868i	0.343354	+	0.943358i	0.984414	+	0.175867i	$0.0562728\pi$
$997$	10.8415	+	29.7868i	0.343354	+	0.943358i	−0.641060	+	0.767491i	$0.721505\pi$
$998$		−	19.0062i		−	0.601630i
$999$	−46.9892	+	29.5361i	−1.48667	+	0.934480i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	378.2.z.a.209.10	yes	144
7.6	odd	2	inner	378.2.z.a.209.3	✓	144
27.23	odd	18	inner	378.2.z.a.293.3	yes	144
189.104	even	18	inner	378.2.z.a.293.10	yes	144

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
378.2.z.a.209.3	✓	144	7.6	odd	2	inner
378.2.z.a.209.10	yes	144	1.1	even	1	trivial
378.2.z.a.293.3	yes	144	27.23	odd	18	inner
378.2.z.a.293.10	yes	144	189.104	even	18	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:	\( N \)	\(=\)	\( 378 = 2 \cdot 3^{3} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	378.z (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.342020 - 0.939693i) q^{2} +(1.51073 + 0.847176i) q^{3} +(-0.766044 + 0.642788i) q^{4} +(-0.0403307 - 0.228727i) q^{5} +(0.279386 - 1.70937i) q^{6} +(1.82631 - 1.91431i) q^{7} +(0.866025 + 0.500000i) q^{8} +(1.56459 + 2.55970i) q^{9} +O(q^{10})\)	\(q+(-0.342020 - 0.939693i) q^{2} +(1.51073 + 0.847176i) q^{3} +(-0.766044 + 0.642788i) q^{4} +(-0.0403307 - 0.228727i) q^{5} +(0.279386 - 1.70937i) q^{6} +(1.82631 - 1.91431i) q^{7} +(0.866025 + 0.500000i) q^{8} +(1.56459 + 2.55970i) q^{9} +(-0.201139 + 0.116128i) q^{10} +(2.79124 + 0.492170i) q^{11} +(-1.70184 + 0.322102i) q^{12} +(-1.29637 + 3.56176i) q^{13} +(-2.42350 - 1.06144i) q^{14} +(0.132843 - 0.379711i) q^{15} +(0.173648 - 0.984808i) q^{16} +(-3.85643 - 6.67954i) q^{17} +(1.87021 - 2.34570i) q^{18} +(2.59561 + 1.49858i) q^{19} +(0.177918 + 0.149291i) q^{20} +(4.38082 - 1.34479i) q^{21} +(-0.492170 - 2.79124i) q^{22} +(2.84435 + 3.38977i) q^{23} +(0.884739 + 1.48904i) q^{24} +(4.64777 - 1.69165i) q^{25} +3.79034 q^{26} +(0.195145 + 5.19249i) q^{27} +(-0.168543 + 2.64038i) q^{28} +(-2.66269 - 7.31569i) q^{29} +(-0.402246 + 0.00503698i) q^{30} +(0.0308608 + 0.0367785i) q^{31} +(-0.984808 + 0.173648i) q^{32} +(3.79984 + 3.10820i) q^{33} +(-4.95773 + 5.90840i) q^{34} +(-0.511510 - 0.340521i) q^{35} +(-2.84389 - 0.955148i) q^{36} +(5.34059 + 9.25018i) q^{37} +(0.520451 - 2.95162i) q^{38} +(-4.97590 + 4.28259i) q^{39} +(0.0794360 - 0.218249i) q^{40} +(-5.22070 - 1.90018i) q^{41} +(-2.76201 - 3.65668i) q^{42} +(-0.0109641 + 0.0621803i) q^{43} +(-2.45457 + 1.41715i) q^{44} +(0.522371 - 0.461097i) q^{45} +(2.21251 - 3.83219i) q^{46} +(-7.18503 - 6.02896i) q^{47} +(1.09664 - 1.34066i) q^{48} +(-0.329158 - 6.99226i) q^{49} +(-3.17926 - 3.78890i) q^{50} +(-0.167271 - 13.3580i) q^{51} +(-1.29637 - 3.56176i) q^{52} +10.8990i q^{53} +(4.81260 - 1.95931i) q^{54} -0.658280i q^{55} +(2.53879 - 0.744683i) q^{56} +(2.65170 + 4.46288i) q^{57} +(-5.96381 + 5.00423i) q^{58} +(-1.35054 - 7.65930i) q^{59} +(0.142310 + 0.376265i) q^{60} +(-5.20479 + 6.20283i) q^{61} +(0.0240055 - 0.0415787i) q^{62} +(7.75748 + 1.67972i) q^{63} +(0.500000 + 0.866025i) q^{64} +(0.866953 + 0.152867i) q^{65} +(1.62113 - 4.63375i) q^{66} +(-13.8031 - 5.02391i) q^{67} +(7.24772 + 2.63795i) q^{68} +(1.42531 + 7.53068i) q^{69} +(-0.145039 + 0.597128i) q^{70} +(-6.22537 + 3.59422i) q^{71} +(0.0751210 + 2.99906i) q^{72} +(-7.95952 - 4.59543i) q^{73} +(6.86573 - 8.18226i) q^{74} +(8.45464 + 1.38186i) q^{75} +(-2.95162 + 0.520451i) q^{76} +(6.03984 - 4.44443i) q^{77} +(5.72617 + 3.21109i) q^{78} +(-9.36609 + 3.40898i) q^{79} -0.232255 q^{80} +(-4.10414 + 8.00975i) q^{81} +5.55575i q^{82} +(-3.51367 + 1.27887i) q^{83} +(-2.49149 + 3.84610i) q^{84} +(-1.37226 + 1.15146i) q^{85} +(0.0621803 - 0.0109641i) q^{86} +(2.17508 - 13.3078i) q^{87} +(2.17120 + 1.82185i) q^{88} +(-2.75214 + 4.76685i) q^{89} +(-0.611951 - 0.333164i) q^{90} +(4.45072 + 8.98655i) q^{91} +(-4.35780 - 0.768398i) q^{92} +(0.0154644 + 0.0817068i) q^{93} +(-3.20794 + 8.81375i) q^{94} +(0.238082 - 0.654125i) q^{95} +(-1.63489 - 0.571970i) q^{96} +(9.53501 + 1.68128i) q^{97} +(-6.45799 + 2.70080i) q^{98} +(3.10732 + 7.91477i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 144 q - 12 q^{9}+O(q^{10}) \) 144 * q - 12 * q^9	\( 144 q - 12 q^{9} + 12 q^{11} + 6 q^{14} + 12 q^{15} + 24 q^{21} - 60 q^{23} + 12 q^{29} - 72 q^{30} + 54 q^{35} - 12 q^{36} + 48 q^{39} + 24 q^{42} + 18 q^{49} - 60 q^{50} - 36 q^{51} + 6 q^{56} - 60 q^{57} - 36 q^{60} - 78 q^{63} + 72 q^{64} - 120 q^{65} + 36 q^{70} - 72 q^{71} - 24 q^{72} - 36 q^{74} + 66 q^{77} - 60 q^{78} - 72 q^{79} + 12 q^{84} - 72 q^{85} - 48 q^{86} - 18 q^{91} + 12 q^{92} + 24 q^{93} - 120 q^{95} + 36 q^{98} + 144 q^{99}+O(q^{100}) \) 144 * q - 12 * q^9 + 12 * q^11 + 6 * q^14 + 12 * q^15 + 24 * q^21 - 60 * q^23 + 12 * q^29 - 72 * q^30 + 54 * q^35 - 12 * q^36 + 48 * q^39 + 24 * q^42 + 18 * q^49 - 60 * q^50 - 36 * q^51 + 6 * q^56 - 60 * q^57 - 36 * q^60 - 78 * q^63 + 72 * q^64 - 120 * q^65 + 36 * q^70 - 72 * q^71 - 24 * q^72 - 36 * q^74 + 66 * q^77 - 60 * q^78 - 72 * q^79 + 12 * q^84 - 72 * q^85 - 48 * q^86 - 18 * q^91 + 12 * q^92 + 24 * q^93 - 120 * q^95 + 36 * q^98 + 144 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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