LMFDB - Embedded newform 378.2.z.a.293.10

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			293.10
Character	$\chi$	$=$	378.293
Dual form			378.2.z.a.209.10

$q$-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 $\left(\mathbb{Z}/378\mathbb{Z}\right)^\times$.

$n$	$29$	$325$
$\chi(n)$	$e\left(\frac{11}{18}\right)$	$-1$

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	−0.992497	−	0.122269i	$-0.960983\pi$
$5$	−0.0403307	+	0.228727i	−0.0180364	+	0.102290i	0.974461	+	0.224559i	$0.0720941\pi$
$6$	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	0.263797	−	0.964578i	$-0.415025\pi$
$11$	2.79124	−	0.492170i	0.841589	−	0.148395i	0.577793	+	0.816183i	$0.303914\pi$
$12$	−1.70184	−	0.322102i	−0.491278	−	0.0929827i
$13$	−1.29637	−	3.56176i	−0.359550	−	0.987854i	−0.979186	−	0.202965i	$-0.934942\pi$
$13$	−1.29637	−	3.56176i	−0.359550	−	0.987854i	0.619636	−	0.784889i	$-0.287280\pi$
$14$	−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	−0.161264	+	0.986911i	$0.551557\pi$
$17$	−3.85643	+	6.67954i	−0.935322	+	1.62003i	−0.774058	+	0.633114i	$0.781776\pi$
$18$	1.87021	+	2.34570i	0.440813	+	0.552887i
$19$	2.59561	−	1.49858i	0.595475	−	0.343798i	−0.171784	−	0.985135i	$-0.554953\pi$
$19$	2.59561	−	1.49858i	0.595475	−	0.343798i	0.767259	+	0.641337i	$0.221620\pi$
$20$	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	−0.383108	−	0.923704i	$-0.625146\pi$
$23$	2.84435	−	3.38977i	0.593088	−	0.706815i	0.976196	+	0.216888i	$0.0695907\pi$
$24$	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	0.402120	+	0.915587i	$0.368274\pi$
$29$	−2.66269	+	7.31569i	−0.494450	+	1.35849i	−0.896570	+	0.442903i	$0.853949\pi$
$30$	−0.402246	−	0.00503698i	−0.0734398	−	0.000919622i
$31$	0.0308608	−	0.0367785i	0.00554277	−	0.00660562i	−0.763266	−	0.646084i	$-0.776405\pi$
$31$	0.0308608	−	0.0367785i	0.00554277	−	0.00660562i	0.768809	+	0.639479i	$0.220850\pi$
$32$	−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	0.0244430	−	0.999701i	$-0.492219\pi$
$37$	5.34059	−	9.25018i	0.877988	−	1.52072i	0.853545	−	0.521019i	$-0.174448\pi$
$38$	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	−0.715826	−	0.698278i	$-0.753950\pi$
$41$	−5.22070	+	1.90018i	−0.815336	+	0.296758i	−0.0995100	+	0.995037i	$0.531728\pi$
$42$	−2.76201	+	3.65668i	−0.426188	+	0.564237i
$43$	−0.0109641	−	0.0621803i	−0.00167201	−	0.00948241i	0.983960	−	0.178387i	$-0.0570880\pi$
$43$	−0.0109641	−	0.0621803i	−0.00167201	−	0.00948241i	−0.985632	+	0.168905i	$0.945977\pi$
$44$	−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	−0.992887	−	0.119064i	$-0.962011\pi$
$47$	−7.18503	+	6.02896i	−1.04804	+	0.879414i	−0.0551583	+	0.998478i	$0.517566\pi$
$48$	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	$-0.730751\pi$
$53$		−	10.8990i		−	1.49710i	0.663080	−	0.748548i	$-0.269249\pi$
$54$	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	0.761361	+	0.648328i	$0.224531\pi$
$59$	−1.35054	+	7.65930i	−0.175826	+	0.997156i	−0.937187	+	0.348828i	$0.886580\pi$
$60$	0.142310	−	0.376265i	0.0183721	−	0.0485756i
$61$	−5.20479	−	6.20283i	−0.666405	−	0.794191i	0.321884	−	0.946779i	$-0.395684\pi$
$61$	−5.20479	−	6.20283i	−0.666405	−	0.794191i	−0.988290	+	0.152588i	$0.951239\pi$
$62$	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	−0.994153	−	0.107977i	$-0.965563\pi$
$67$	−13.8031	+	5.02391i	−1.68631	+	0.613768i	−0.692160	+	0.721745i	$0.743341\pi$
$68$	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	0.0828228	−	0.996564i	$-0.473606\pi$
$71$	−6.22537	−	3.59422i	−0.738816	−	0.426555i	−0.821639	+	0.570009i	$0.806940\pi$
$72$	0.0751210	−	2.99906i	0.00885309	−	0.353443i
$73$	−7.95952	+	4.59543i	−0.931591	+	0.537854i	−0.887314	−	0.461165i	$-0.847432\pi$
$73$	−7.95952	+	4.59543i	−0.931591	+	0.537854i	−0.0442767	+	0.999019i	$0.514098\pi$
$74$	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	−0.243684	−	0.969855i	$-0.578356\pi$
$79$	−9.36609	−	3.40898i	−1.05377	−	0.383540i	−0.810083	+	0.586315i	$0.800578\pi$
$80$	−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	0.141903	−	0.989881i	$-0.454678\pi$
$83$	−3.51367	−	1.27887i	−0.385675	−	0.140374i	−0.527579	+	0.849506i	$0.676900\pi$
$84$	−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	0.682492	−	0.730893i	$-0.260896\pi$
$89$	−2.75214	−	4.76685i	−0.291726	−	0.505285i	−0.974218	+	0.225609i	$0.927563\pi$
$90$	−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	0.332844	−	0.942982i	$-0.391992\pi$
$97$	9.53501	−	1.68128i	0.968134	−	0.170708i	0.635290	+	0.772274i	$0.280881\pi$
$98$	−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	−0.448183	−	0.893942i	$-0.647929\pi$
$101$	3.56120	−	2.98820i	0.354352	−	0.297337i	0.802535	+	0.596605i	$0.203484\pi$
$102$	−12.4952	−	4.72590i	−1.23721	−	0.467934i
$103$	−0.811964	−	0.143171i	−0.0800051	−	0.0141071i	0.133502	−	0.991049i	$-0.457378\pi$
$103$	−0.811964	−	0.143171i	−0.0800051	−	0.0141071i	−0.213507	+	0.976941i	$0.568489\pi$
$104$	−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	$0.0416006\pi$
$107$			2.69609i			0.260641i	−0.991472	+	0.130321i	$0.958399\pi$
$108$	−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	0.692462	−	0.721454i	$-0.256526\pi$
$113$	11.6550	+	2.05509i	1.09641	+	0.193327i	0.403949	+	0.914781i	$0.367637\pi$
$114$	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	0.755354	−	0.655317i	$-0.227465\pi$
$127$	−2.13943	−	3.70560i	−0.189844	−	0.328819i	−0.945198	+	0.326498i	$0.894131\pi$
$128$	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	0.357125	−	0.934057i	$-0.383757\pi$
$131$	−5.73108	−	4.80895i	−0.500727	−	0.420160i	−0.857852	+	0.513897i	$0.828201\pi$
$132$	−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	−0.952958	−	0.303103i	$-0.901978\pi$
$137$	−0.329127	+	0.904268i	−0.0281192	+	0.0772569i	0.924839	+	0.380359i	$0.124200\pi$
$138$	6.58904	+	3.91499i	0.560896	+	0.333266i
$139$	−6.03743	+	7.19513i	−0.512088	+	0.610283i	−0.958691	−	0.284449i	$-0.908189\pi$
$139$	−6.03743	+	7.19513i	−0.512088	+	0.610283i	0.446603	+	0.894732i	$0.352634\pi$
$140$	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	0.969498	−	0.245099i	$-0.0788205\pi$
$149$	0.845583	+	2.32322i	0.0692729	+	0.190326i	−0.900225	+	0.435425i	$0.856598\pi$
$150$	−1.59313	+	8.41739i	−0.130079	+	0.687277i
$151$	2.64476	+	14.9992i	0.215227	+	1.22062i	0.880511	+	0.474025i	$0.157199\pi$
$151$	2.64476	+	14.9992i	0.215227	+	1.22062i	−0.665284	+	0.746591i	$0.731689\pi$
$152$	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	0.598694	−	0.800978i	$-0.295687\pi$
$157$	11.1182	+	1.96045i	0.887332	+	0.156461i	0.288638	+	0.957438i	$0.406798\pi$
$158$	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	−0.314131	−	0.949380i	$-0.601713\pi$
$167$	3.95132	−	22.4091i	0.305763	−	1.73407i	0.619894	−	0.784686i	$-0.287176\pi$
$168$	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	0.990376	−	0.138403i	$-0.0441969\pi$
$173$	0.162969	+	0.924246i	0.0123903	+	0.0702691i	−0.977986	+	0.208672i	$0.933086\pi$
$174$	−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	0.761065	−	0.648675i	$-0.224677\pi$
$179$	7.75758	+	4.47884i	0.579829	+	0.334764i	−0.181236	+	0.983440i	$0.558010\pi$
$180$	−0.103772	−	0.688995i	−0.00773471	−	0.0513546i
$181$	15.2802	−	8.82200i	1.13577	−	0.655734i	0.190387	−	0.981709i	$-0.439026\pi$
$181$	15.2802	−	8.82200i	1.13577	−	0.655734i	0.945378	+	0.325975i	$0.105692\pi$
$182$	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	0.431703	+	0.902016i	$0.357913\pi$
$191$	−6.61722	+	18.1807i	−0.478805	+	1.31551i	−0.910508	+	0.413491i	$0.864309\pi$
$192$	0.0216873	−	1.73192i	0.00156514	−	0.124990i
$193$	11.8634	+	9.95454i	0.853943	+	0.716543i	0.960654	−	0.277747i	$-0.0895876\pi$
$193$	11.8634	+	9.95454i	0.853943	+	0.716543i	−0.106711	+	0.994290i	$0.534032\pi$
$194$	−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	−0.536208	−	0.844086i	$-0.680144\pi$
$197$	−1.02899	+	0.594090i	−0.0733128	+	0.0423272i	0.462895	+	0.886413i	$0.346811\pi$
$198$	6.37469	+	5.62694i	0.453029	+	0.399889i
$199$	17.7572	+	10.2521i	1.25878	+	0.726756i	0.972837	−	0.231492i	$-0.0743606\pi$
$199$	17.7572	+	10.2521i	1.25878	+	0.726756i	0.285941	+	0.958247i	$0.407694\pi$
$200$	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	0.772902	+	0.634526i	$0.218805\pi$
$211$	−2.47533	+	14.0383i	−0.170409	+	0.966437i	−0.943311	+	0.331911i	$0.892307\pi$
$212$	−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	0.223771	−	0.974642i	$-0.428163\pi$
$223$	−11.5720	−	13.7910i	−0.774921	−	0.923515i	−0.998692	+	0.0511268i	$0.983719\pi$
$224$	−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	0.972737	−	0.231909i	$-0.0744973\pi$
$227$	−0.311191	−	1.76485i	−0.0206545	−	0.117137i	−0.993392	+	0.114772i	$0.963386\pi$
$228$	−4.90001	+	1.71429i	−0.324511	+	0.113531i
$229$	−2.72470	−	7.48605i	−0.180053	−	0.494692i	0.816528	−	0.577305i	$-0.195896\pi$
$229$	−2.72470	−	7.48605i	−0.180053	−	0.494692i	−0.996582	+	0.0826129i	$0.973673\pi$
$230$	−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	0.270601	−	0.962692i	$-0.412778\pi$
$233$	−6.53030	−	3.77027i	−0.427814	−	0.246998i	−0.698415	+	0.715693i	$0.746111\pi$
$234$	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	−0.467638	−	0.883920i	$-0.654895\pi$
$239$	7.48335	−	8.91830i	0.484057	−	0.576877i	0.951696	+	0.307043i	$0.0993395\pi$
$240$	−0.350874	+	0.196761i	−0.0226488	+	0.0127009i
$241$	−8.39994	+	23.0787i	−0.541088	+	1.48663i	0.304354	+	0.952559i	$0.401560\pi$
$241$	−8.39994	+	23.0787i	−0.541088	+	1.48663i	−0.845442	+	0.534068i	$0.820663\pi$
$242$		−	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	0.925464	−	0.378835i	$-0.123675\pi$
$251$	2.13327	+	3.69494i	0.134651	+	0.233222i	−0.790813	+	0.612058i	$0.790342\pi$
$252$	−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	0.332919	−	0.942955i	$-0.391966\pi$
$257$	19.1424	−	6.96726i	1.19407	−	0.434606i	0.861151	+	0.508349i	$0.169744\pi$
$258$	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	−0.999464	−	0.0327479i	$-0.989574\pi$
$263$	−13.9170	−	16.5856i	−0.858159	−	1.02271i	0.141305	−	0.989966i	$-0.454870\pi$
$264$	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	$0.198316\pi$
$271$			19.2112i			1.16699i	−0.812115	+	0.583497i	$0.801684\pi$
$272$	−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	−0.284664	+	0.958627i	$0.591882\pi$
$277$	−21.2728	+	17.8500i	−1.27816	+	1.07250i	−0.993495	+	0.113875i	$0.963674\pi$
$278$	−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	−0.229067	−	0.973411i	$-0.573568\pi$
$281$	−1.86731	+	0.329257i	−0.111394	+	0.0196418i	0.117673	+	0.993052i	$0.462457\pi$
$282$	−12.3131	−	10.5975i	−0.733235	−	0.631070i
$283$	−3.81996	−	10.4953i	−0.227073	−	0.623878i	0.772870	−	0.634564i	$-0.218821\pi$
$283$	−3.81996	−	10.4953i	−0.227073	−	0.623878i	−0.999943	+	0.0106866i	$0.996598\pi$
$284$	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	0.809600	−	0.586982i	$-0.199684\pi$
$293$	6.36967	+	5.34479i	0.372120	+	0.312246i	−0.437479	+	0.899228i	$0.644129\pi$
$294$	−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	0.425102	−	0.905145i	$-0.360238\pi$
$307$	−2.56208	−	1.47922i	−0.146226	−	0.0844233i	−0.571328	+	0.820722i	$0.693571\pi$
$308$	−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	−0.451740	−	0.892149i	$-0.649197\pi$
$311$	−3.95612	+	1.43991i	−0.224331	+	0.0816499i	0.227409	+	0.973799i	$0.426974\pi$
$312$	−6.45055	−	1.22088i	−0.365191	−	0.0691185i
$313$	6.07067	−	1.07042i	0.343135	−	0.0605039i	0.000574637	−	1.00000i	$-0.499817\pi$
$313$	6.07067	−	1.07042i	0.343135	−	0.0605039i	0.342560	+	0.939496i	$0.388706\pi$
$314$	−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	0.488155	−	0.872757i	$-0.337670\pi$
$317$	−8.12081	−	9.67801i	−0.456110	−	0.543571i	−0.944265	+	0.329186i	$0.893226\pi$
$318$	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	−0.197891	−	0.980224i	$-0.563409\pi$
$331$	13.3372	−	11.1912i	0.733078	−	0.615126i	0.930969	+	0.365098i	$0.118965\pi$
$332$	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	0.342372	−	0.939564i	$-0.388770\pi$
$337$	22.1867	−	8.07529i	1.20859	−	0.439889i	0.866213	+	0.499675i	$0.166547\pi$
$338$	−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	0.338380	−	0.941010i	$-0.390121\pi$
$347$	22.4715	−	26.7805i	1.20633	−	1.43765i	0.867954	−	0.496644i	$-0.165434\pi$
$348$	6.88787	−	11.5925i	0.369228	−	0.621421i
$349$	−0.112904	+	0.310201i	−0.00604361	+	0.0166047i	−0.942678	−	0.333704i	$-0.891701\pi$
$349$	−0.112904	+	0.310201i	−0.00604361	+	0.0166047i	0.936634	+	0.350309i	$0.113923\pi$
$350$	−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	0.866506	−	0.499166i	$-0.166360\pi$
$353$	22.7231	+	8.27055i	1.20943	+	0.440197i	0.342925	+	0.939363i	$0.388582\pi$
$354$	−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	−0.641920	−	0.766771i	$-0.721862\pi$
$359$	−5.66216	+	3.26905i	−0.298837	+	0.172534i	0.343083	+	0.939305i	$0.388529\pi$
$360$	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	−0.0923424	−	0.995727i	$-0.529435\pi$
$367$	3.09280	−	0.545344i	0.161443	−	0.0284667i	0.253785	+	0.967261i	$0.418324\pi$
$368$	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	−0.877334	−	0.479880i	$-0.840680\pi$
$373$	2.14799	−	12.1819i	0.111219	−	0.630754i	0.988553	−	0.150874i	$-0.0482087\pi$
$374$	−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	−0.940482	−	0.339844i	$-0.889626\pi$
$383$	1.16474	−	6.60557i	0.0595154	−	0.337529i	0.999997	+	0.00231498i	$0.000736881\pi$
$384$	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	0.207253	−	0.978287i	$-0.433548\pi$
$389$	14.5281	−	2.56169i	0.736602	−	0.129883i	0.529348	+	0.848405i	$0.322436\pi$
$390$	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	−0.0845456	−	0.996420i	$-0.526944\pi$
$397$	14.6668	−	8.46789i	0.736106	−	0.424991i	0.820652	+	0.571428i	$0.193611\pi$
$398$	−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	−0.826676	−	0.562679i	$-0.809771\pi$
$401$	−2.58312	+	3.07844i	−0.128995	+	0.153730i	0.697681	+	0.716409i	$0.254215\pi$
$402$	−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	−0.0648454	−	0.997895i	$-0.520655\pi$
$409$	18.7909	−	22.3941i	0.929150	−	1.10732i	0.993995	−	0.109422i	$-0.0349001\pi$
$410$	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	−0.596398	−	0.802689i	$-0.703402\pi$
$419$	−10.9984	+	4.00308i	−0.537306	+	0.195563i	0.0590917	+	0.998253i	$0.481180\pi$
$420$	0.980190	−	0.414754i	0.0478284	−	0.0202379i
$421$	3.69292	+	20.9436i	0.179982	+	1.02073i	0.932235	+	0.361854i	$0.117856\pi$
$421$	3.69292	+	20.9436i	0.179982	+	1.02073i	−0.752253	+	0.658874i	$0.771033\pi$
$422$	−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	$0.173281\pi$
$431$			21.5032i			1.03577i	−0.855449	+	0.517887i	$0.826719\pi$
$432$	5.14749	−	0.709486i	0.247659	−	0.0341352i
$433$		−	3.00077i		−	0.144208i	−0.997397	−	0.0721038i	$-0.977029\pi$
$433$		−	3.00077i		−	0.144208i	0.997397	−	0.0721038i	$-0.0229713\pi$
$434$	−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	0.333514	−	0.942745i	$-0.391765\pi$
$439$	−13.6781	−	16.3010i	−0.652822	−	0.778003i	−0.986337	+	0.164742i	$0.947321\pi$
$440$	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	−0.787782	−	0.615954i	$-0.788771\pi$
$443$	−27.7278	+	4.88916i	−1.31739	+	0.232291i	−0.529604	+	0.848245i	$0.677660\pi$
$444$	−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	0.912830	−	0.408339i	$-0.133892\pi$
$449$	21.5205	+	12.4249i	1.01561	+	0.586365i	0.102784	+	0.994704i	$0.467225\pi$
$450$	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	0.415397	−	0.909640i	$-0.363643\pi$
$457$	3.18323	+	1.15860i	0.148905	+	0.0541970i	−0.266492	+	0.963837i	$0.585865\pi$
$458$	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	0.455312	−	0.890332i	$-0.349528\pi$
$461$	4.97711	+	1.81152i	0.231807	+	0.0843708i	−0.223505	+	0.974703i	$0.571750\pi$
$462$	−5.90973	+	11.5660i	−0.274945	+	0.538100i
$463$	−7.12196	−	5.97603i	−0.330985	−	0.277730i	0.462116	−	0.886820i	$-0.347090\pi$
$463$	−7.12196	−	5.97603i	−0.330985	−	0.277730i	−0.793101	+	0.609090i	$0.791535\pi$
$464$	−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	−0.995143	−	0.0984437i	$-0.968614\pi$
$467$	−12.5950	−	21.8151i	−0.582826	−	1.00948i	0.412317	−	0.911041i	$-0.364720\pi$
$468$	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	−0.479353	−	0.877622i	$-0.659129\pi$
$479$	6.60298	−	5.54056i	0.301698	−	0.253154i	0.781051	+	0.624468i	$0.214684\pi$
$480$	−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	0.728373	−	0.685181i	$-0.240277\pi$
$491$	26.1132	+	4.60447i	1.17847	+	0.207797i	0.450101	+	0.892978i	$0.351388\pi$
$492$	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	0.0902331	−	0.995921i	$-0.471239\pi$
$499$	17.8600	−	6.50049i	0.799521	−	0.291002i	0.709288	+	0.704919i	$0.249017\pi$
$500$	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	0.367622	+	0.929975i	$0.380172\pi$
$503$	−13.9404	+	24.1455i	−0.621571	+	1.07659i	−0.989193	+	0.146617i	$0.953161\pi$
$504$	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	0.950352	+	0.311178i	$0.100724\pi$
$509$	32.0779	+	26.9166i	1.42183	+	1.19306i	0.471478	+	0.881878i	$0.343721\pi$
$510$	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	−0.875866	−	0.482555i	$-0.839709\pi$
$521$	−19.5349	−	33.8354i	−0.855838	−	1.48235i	0.0200277	−	0.999799i	$-0.493625\pi$
$522$	−22.1402	+	7.43601i	−0.969051	+	0.325466i
$523$	9.23273	+	5.33052i	0.403719	+	0.233087i	0.688087	−	0.725628i	$-0.258451\pi$
$523$	9.23273	+	5.33052i	0.403719	+	0.233087i	−0.284368	+	0.958715i	$0.591784\pi$
$524$	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	−0.625730	−	0.780040i	$-0.715199\pi$
$547$	0.790568	−	0.663366i	0.0338023	−	0.0283635i	0.659532	+	0.751676i	$0.270754\pi$
$548$	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	0.380542	−	0.924764i	$-0.375737\pi$
$557$	−5.42950	−	3.13472i	−0.230055	−	0.132823i	−0.610598	+	0.791941i	$0.709071\pi$
$558$	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	0.997516	−	0.0704386i	$-0.0224399\pi$
$563$	26.1328	+	21.9280i	1.10136	+	0.924155i	0.103848	+	0.994593i	$0.466884\pi$
$564$	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	−0.329488	−	0.944160i	$-0.606876\pi$
$569$	12.6379	−	34.7224i	0.529809	−	1.45564i	0.859296	−	0.511478i	$-0.170902\pi$
$570$	−1.05163	+	0.589724i	−0.0440477	+	0.0247008i
$571$	27.3641	+	22.9612i	1.14515	+	0.960898i	0.999595	−	0.0284517i	$-0.00905767\pi$
$571$	27.3641	+	22.9612i	1.14515	+	0.960898i	0.145558	+	0.989350i	$0.453502\pi$
$572$	−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	0.0935917	−	0.995611i	$-0.470165\pi$
$577$	−17.3391	−	10.0107i	−0.721837	−	0.416753i	−0.815428	+	0.578858i	$0.803498\pi$
$578$	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	−0.531541	−	0.847033i	$-0.678387\pi$
$587$	5.09570	−	4.27580i	0.210322	−	0.176481i	0.741863	+	0.670551i	$0.233942\pi$
$588$	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	−0.695444	−	0.718581i	$-0.744792\pi$
$599$	−39.0298	−	6.88201i	−1.59472	−	0.281191i	−0.899272	+	0.437389i	$0.855903\pi$
$600$	6.63100	−	5.42405i	0.270710	−	0.221436i
$601$	−12.1134	−	14.4362i	−0.494116	−	0.588865i	0.460143	−	0.887845i	$-0.347798\pi$
$601$	−12.1134	−	14.4362i	−0.494116	−	0.588865i	−0.954259	+	0.298980i	$0.903354\pi$
$602$	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	−0.651292	−	0.758827i	$-0.725773\pi$
$607$	−15.7713	−	43.3313i	−0.640138	−	1.75877i	0.0111535	−	0.999938i	$-0.496450\pi$
$608$	−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	0.950864	+	0.309607i	$0.100198\pi$
$613$	18.4097	+	31.8865i	0.743560	+	1.28788i	−0.207304	+	0.978276i	$0.566469\pi$
$614$	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	−0.982285	−	0.187393i	$-0.939996\pi$
$617$	−15.5785	+	18.5657i	−0.627166	+	0.747428i	0.355119	+	0.934821i	$0.384441\pi$
$618$	0.0178809	−	1.42795i	0.000719276	−	0.0574404i
$619$	−16.3070	+	44.8031i	−0.655434	+	1.80079i	−0.0588105	+	0.998269i	$0.518731\pi$
$619$	−16.3070	+	44.8031i	−0.655434	+	1.80079i	−0.596624	+	0.802521i	$0.703491\pi$
$620$		−	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	−0.523491	−	0.852031i	$-0.675371\pi$
$631$	11.9604	−	20.7160i	0.476135	−	0.824691i	0.999626	+	0.0273406i	$0.00870386\pi$
$632$	−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	0.808662	−	0.588274i	$-0.200192\pi$
$641$	2.25082	+	2.68243i	0.0889022	+	0.105949i	−0.719759	+	0.694224i	$0.755748\pi$
$642$	−4.60862	+	0.753251i	−0.181888	+	0.0297284i
$643$	−19.1077	−	3.36920i	−0.753533	−	0.132868i	−0.216329	−	0.976320i	$-0.569408\pi$
$643$	−19.1077	−	3.36920i	−0.753533	−	0.132868i	−0.537204	+	0.843452i	$0.680520\pi$
$644$	−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	−0.638197	−	0.769873i	$-0.720320\pi$
$653$	−38.3619	−	6.76425i	−1.50122	−	0.264705i	−0.863021	+	0.505167i	$0.831431\pi$
$654$	−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	−0.144285	−	0.989536i	$-0.546088\pi$
$659$	1.50364	−	0.265133i	0.0585737	−	0.0103281i	0.202858	+	0.979208i	$0.434977\pi$
$660$	0.212033	−	1.12029i	0.00825338	−	0.0436071i
$661$	0.634483	+	1.74323i	0.0246785	+	0.0678037i	0.951420	−	0.307896i	$-0.0996248\pi$
$661$	0.634483	+	1.74323i	0.0246785	+	0.0678037i	−0.926742	+	0.375699i	$0.877403\pi$
$662$	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	−0.486011	−	0.873953i	$-0.661548\pi$
$673$	−36.8401	−	13.4087i	−1.42008	−	0.516868i	−0.934072	+	0.357085i	$0.883771\pi$
$674$			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	0.871133	−	0.491047i	$-0.163386\pi$
$677$	31.8168	+	11.5804i	1.22282	+	0.445070i	0.351688	+	0.936117i	$0.385608\pi$
$678$	−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	−0.215645	−	0.976472i	$-0.569186\pi$
$683$	13.6468	−	7.87900i	0.522181	−	0.301481i	0.737827	+	0.674990i	$0.235852\pi$
$684$	−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	−0.344770	−	0.938687i	$-0.612043\pi$
$691$	−9.13991	+	1.61161i	−0.347699	+	0.0613086i	−0.00292821	+	0.999996i	$0.500932\pi$
$692$	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	$-0.934470\pi$
$701$		−	10.8244i		−	0.408833i	0.978884	−	0.204416i	$-0.0655297\pi$
$702$	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	−0.981728	−	0.190288i	$-0.939058\pi$
$709$	−25.6899	+	21.5564i	−0.964806	+	0.809569i	0.0169220	+	0.999857i	$0.494613\pi$
$710$	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	−0.533856	−	0.845576i	$-0.679257\pi$
$719$	12.4783	−	21.6131i	0.465362	−	0.806031i	0.999218	+	0.0395446i	$0.0125907\pi$
$720$	−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	−0.816428	−	0.577448i	$-0.804049\pi$
$727$	4.85787	−	13.3469i	0.180168	−	0.495009i	0.996596	+	0.0824390i	$0.0262710\pi$
$728$	−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	−0.185018	−	0.982735i	$-0.559234\pi$
$733$	22.0630	−	26.2937i	0.814916	−	0.971179i	0.999933	+	0.0115566i	$0.00367865\pi$
$734$	−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	−0.0127588	+	0.999919i	$0.504061\pi$
$739$	−23.7140	+	41.0739i	−0.872334	+	1.51093i	−0.859575	+	0.511009i	$0.829272\pi$
$740$	−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	0.982819	−	0.184574i	$-0.0590905\pi$
$743$	3.03366	+	8.33490i	0.111294	+	0.305778i	−0.871525	+	0.490352i	$0.836868\pi$
$744$	−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	0.914517	+	0.404547i	$0.132571\pi$
$751$	−2.28035	+	12.9325i	−0.0832110	+	0.471913i	−0.997728	+	0.0673663i	$0.978540\pi$
$752$	−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	−0.421632	−	0.906767i	$-0.638542\pi$
$761$	7.85394	−	44.5419i	0.284705	−	1.61464i	0.706337	−	0.707876i	$-0.250346\pi$
$762$	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	0.800478	+	0.599363i	$0.204579\pi$
$769$	15.8770	+	43.6217i	0.572539	+	1.57304i	−0.227938	+	0.973676i	$0.573198\pi$
$770$	−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	−0.822475	−	0.568801i	$-0.807407\pi$
$773$	2.26201	−	3.91791i	0.0813587	−	0.140917i	0.903834	+	0.427884i	$0.140741\pi$
$774$	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	−0.868844	−	0.495085i	$-0.835137\pi$
$787$	−6.46374	+	7.70319i	−0.230407	+	0.274589i	0.638437	+	0.769674i	$0.279581\pi$
$788$	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	−0.516137	−	0.856506i	$-0.672630\pi$
$797$	−10.1906	+	3.70907i	−0.360969	+	0.131382i	0.155168	+	0.987888i	$0.450408\pi$
$798$	−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	$-0.922854\pi$
$809$		−	13.6523i		−	0.479989i	0.970774	−	0.239995i	$-0.0771457\pi$
$810$	−0.104651	+	2.08768i	−0.00367705	+	0.0733535i
$811$		−	19.7335i		−	0.692936i	−0.938062	−	0.346468i	$-0.887381\pi$
$811$		−	19.7335i		−	0.692936i	0.938062	−	0.346468i	$-0.112619\pi$
$812$	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	−0.140937	−	0.990019i	$-0.545012\pi$
$821$	1.86908	−	0.329569i	0.0652313	−	0.0115020i	0.206169	+	0.978516i	$0.433900\pi$
$822$	−1.63768	−	0.309959i	−0.0571207	−	0.0108111i
$823$	−48.9919	+	17.8316i	−1.70775	+	0.621570i	−0.996670	−	0.0815401i	$-0.974016\pi$
$823$	−48.9919	+	17.8316i	−1.70775	+	0.621570i	−0.711081	+	0.703111i	$0.751794\pi$
$824$	−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	0.826790	−	0.562511i	$-0.190164\pi$
$827$	21.6555	+	12.5028i	0.753037	+	0.434766i	−0.0737533	+	0.997277i	$0.523498\pi$
$828$	−4.85129	+	12.3569i	−0.168594	+	0.429432i
$829$	19.8724	−	11.4733i	0.690197	−	0.398485i	−0.113489	−	0.993539i	$-0.536203\pi$
$829$	19.8724	−	11.4733i	0.690197	−	0.398485i	0.803686	+	0.595054i	$0.202869\pi$
$830$	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	−0.726491	−	0.687176i	$-0.758850\pi$
$839$	−49.9575	−	18.1830i	−1.72472	−	0.627748i	−0.998233	+	0.0594284i	$0.981072\pi$
$840$	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	0.299159	−	0.954203i	$-0.403294\pi$
$853$	26.4793	−	4.66901i	0.906633	−	0.159864i	0.607474	+	0.794340i	$0.292183\pi$
$854$	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	−0.248306	−	0.968682i	$-0.579874\pi$
$857$	19.3956	−	16.2748i	0.662541	−	0.555938i	0.910847	+	0.412744i	$0.135430\pi$
$858$	14.4027	−	11.7812i	0.491700	−	0.402202i
$859$	45.8517	+	8.08490i	1.56444	+	0.275853i	0.887719	−	0.460386i	$-0.152289\pi$
$859$	45.8517	+	8.08490i	1.56444	+	0.275853i	0.676722	+	0.736239i	$0.263400\pi$
$860$	−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	$0.0419102\pi$
$863$			7.71346i			0.262569i	−0.991345	+	0.131285i	$0.958090\pi$
$864$	−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	0.433821	−	0.900999i	$-0.357165\pi$
$877$	39.8399	−	14.5005i	1.34530	−	0.489648i	0.911477	+	0.411351i	$0.134943\pi$
$878$	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	−0.507075	−	0.861902i	$-0.669273\pi$
$881$	14.6298	−	25.3396i	0.492892	−	0.853714i	0.999966	+	0.00818832i	$0.00260645\pi$
$882$	−17.0173	+	12.3049i	−0.573003	+	0.414327i
$883$	9.35772	+	16.2080i	0.314912	+	0.545444i	0.979419	−	0.201838i	$-0.0646915\pi$
$883$	9.35772	+	16.2080i	0.314912	+	0.545444i	−0.664507	+	0.747282i	$0.731358\pi$
$884$	−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	0.977959	−	0.208799i	$-0.0669555\pi$
$887$	28.0597	+	23.5449i	0.942152	+	0.790560i	−0.0358063	+	0.999359i	$0.511400\pi$
$888$	−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	0.953416	−	0.301660i	$-0.0975406\pi$
$907$	−1.37559	−	7.80135i	−0.0456757	−	0.259040i	−0.999091	+	0.0426201i	$0.986429\pi$
$908$	−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	0.688311	−	0.725415i	$-0.258352\pi$
$911$	−4.39483	−	5.23756i	−0.145607	−	0.173528i	−0.833919	+	0.551887i	$0.813908\pi$
$912$	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	0.999788	+	0.0205792i	$0.00655104\pi$
$929$	2.05228	+	11.6391i	0.0673331	+	0.381865i	−0.932455	+	0.361286i	$0.882338\pi$
$930$	−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	−0.992300	−	0.123858i	$-0.960473\pi$
$937$	−42.2787	+	24.4096i	−1.38119	+	0.797428i	−0.388886	+	0.921286i	$0.627140\pi$
$938$	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	0.984751	−	0.173967i	$-0.0556586\pi$
$941$	30.1980	+	25.3392i	0.984428	+	0.826033i	−0.000323708		1.00000i	$0.500103\pi$
$942$	−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	−0.892473	−	0.451101i	$-0.851031\pi$
$947$	2.49766	−	6.86227i	0.0811631	−	0.222994i	0.973636	+	0.228107i	$0.0732536\pi$
$948$	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	−0.134976	−	0.990849i	$-0.543096\pi$
$953$	20.2399	−	11.6855i	0.655636	−	0.378531i	0.790612	+	0.612317i	$0.209763\pi$
$954$	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	−0.999320	−	0.0368602i	$-0.988264\pi$
$967$	−1.48205	+	8.40511i	−0.0476595	+	0.270290i	0.951661	+	0.307150i	$0.0993755\pi$
$968$	−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	−0.204789	−	0.978806i	$-0.565651\pi$
$977$	−22.8801	−	4.03438i	−0.731999	−	0.129071i	−0.527210	+	0.849735i	$0.676762\pi$
$978$	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	0.994571	−	0.104064i	$-0.0331848\pi$
$983$	0.764628	+	4.33642i	0.0243879	+	0.138310i	−0.970183	+	0.242375i	$0.922074\pi$
$984$	−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	0.941846	−	0.336045i	$-0.109090\pi$
$991$	5.66325	+	9.80904i	0.179899	+	0.311594i	−0.761947	+	0.647640i	$0.775756\pi$
$992$	−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	−0.641060	−	0.767491i	$-0.721505\pi$
$997$	10.8415	−	29.7868i	0.343354	−	0.943358i	0.984414	−	0.175867i	$-0.0562728\pi$
$998$			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.293.10	yes	144
7.6	odd	2	inner	378.2.z.a.293.3	yes	144
27.20	odd	18	inner	378.2.z.a.209.3	✓	144
189.20	even	18	inner	378.2.z.a.209.10	yes	144

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
378.2.z.a.209.3	✓	144	27.20	odd	18	inner
378.2.z.a.209.10	yes	144	189.20	even	18	inner
378.2.z.a.293.3	yes	144	7.6	odd	2	inner
378.2.z.a.293.10	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:	\( N \)	\(=\)	\( 378 = 2 \cdot 3^{3} \cdot 7 \)
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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