LMFDB - Embedded newform 966.2.t.a.41.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [966,2,Mod(41,966)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(966, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 11, 12]))

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

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

chi := DirichletCharacter("966.41");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 966 = 2 \cdot 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	966.t (of order $22$, degree $10$, 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:	$7.71354883526$
Analytic rank:	$0$
Dimension:	$640$
Relative dimension:	$64$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			41.5
Character	$\chi$	$=$	966.41
Dual form			966.2.t.a.377.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.281733 + 0.959493i) q^{2} +(-1.53070 - 0.810522i) q^{3} +(-0.841254 - 0.540641i) q^{4} +(0.429144 - 2.98476i) q^{5} +(1.20894 - 1.24035i) q^{6} +(0.998575 - 2.45007i) q^{7} +(0.755750 - 0.654861i) q^{8} +(1.68611 + 2.48134i) q^{9} +O(q^{10})$	\(q+(-0.281733 + 0.959493i) q^{2} +(-1.53070 - 0.810522i) q^{3} +(-0.841254 - 0.540641i) q^{4} +(0.429144 - 2.98476i) q^{5} +(1.20894 - 1.24035i) q^{6} +(0.998575 - 2.45007i) q^{7} +(0.755750 - 0.654861i) q^{8} +(1.68611 + 2.48134i) q^{9} +(2.74295 + 1.25266i) q^{10} +(0.573693 + 1.95382i) q^{11} +(0.849508 + 1.50942i) q^{12} +(6.05937 + 2.76722i) q^{13} +(2.06950 + 1.64839i) q^{14} +(-3.07611 + 4.22095i) q^{15} +(0.415415 + 0.909632i) q^{16} +(0.0776647 - 0.0499121i) q^{17} +(-2.85586 + 0.918734i) q^{18} +(1.01184 - 1.57445i) q^{19} +(-1.97470 + 2.27893i) q^{20} +(-3.51436 + 2.94097i) q^{21} -2.03630 q^{22} +(-1.65510 - 4.50118i) q^{23} +(-1.68761 + 0.389846i) q^{24} +(-3.92717 - 1.15312i) q^{25} +(-4.36225 + 5.03431i) q^{26} +(-0.569750 - 5.16482i) q^{27} +(-2.16466 + 1.52126i) q^{28} +(3.53731 + 5.50417i) q^{29} +(-3.18334 - 4.14068i) q^{30} +(6.07309 - 5.26236i) q^{31} +(-0.989821 + 0.142315i) q^{32} +(0.705460 - 3.45571i) q^{33} +(0.0260096 + 0.0885806i) q^{34} +(-6.88434 - 4.03194i) q^{35} +(-0.0769308 - 2.99901i) q^{36} +(-0.846585 - 5.88813i) q^{37} +(1.22561 + 1.41443i) q^{38} +(-7.03221 - 9.14706i) q^{39} +(-1.63028 - 2.53676i) q^{40} +(0.0967243 - 0.672732i) q^{41} +(-1.83173 - 4.20057i) q^{42} +(3.86953 - 4.46568i) q^{43} +(0.573693 - 1.95382i) q^{44} +(8.12979 - 3.96778i) q^{45} +(4.78515 - 0.319925i) q^{46} -2.25554 q^{47} +(0.101400 - 1.72908i) q^{48} +(-5.00570 - 4.89316i) q^{49} +(2.21282 - 3.44322i) q^{50} +(-0.159337 + 0.0134516i) q^{51} +(-3.60140 - 5.60388i) q^{52} +(-9.03082 + 4.12424i) q^{53} +(5.11613 + 0.908427i) q^{54} +(6.07788 - 0.873867i) q^{55} +(-0.849783 - 2.50557i) q^{56} +(-2.82495 + 1.58990i) q^{57} +(-6.27778 + 1.84332i) q^{58} +(2.67243 - 5.85180i) q^{59} +(4.86981 - 1.88782i) q^{60} +(-5.71053 + 4.94820i) q^{61} +(3.33821 + 7.30967i) q^{62} +(7.76316 - 1.65328i) q^{63} +(0.142315 - 0.989821i) q^{64} +(10.8598 - 16.8982i) q^{65} +(3.11698 + 1.65047i) q^{66} +(0.480765 + 0.141165i) q^{67} -0.0923203 q^{68} +(-1.11485 + 8.23147i) q^{69} +(5.80816 - 5.46955i) q^{70} +(-3.61994 + 12.3284i) q^{71} +(2.89921 + 0.771105i) q^{72} +(-1.66404 + 2.58929i) q^{73} +(5.88813 + 0.846585i) q^{74} +(5.07670 + 4.94814i) q^{75} +(-1.70243 + 0.777472i) q^{76} +(5.35987 + 0.545446i) q^{77} +(10.7577 - 4.17033i) q^{78} +(-1.63260 + 3.57490i) q^{79} +(2.89331 - 0.849551i) q^{80} +(-3.31408 + 8.36761i) q^{81} +(0.618232 + 0.282337i) q^{82} +(-0.905965 - 6.30113i) q^{83} +(4.54647 - 0.574092i) q^{84} +(-0.115646 - 0.253230i) q^{85} +(3.19462 + 4.97092i) q^{86} +(-0.953328 - 11.2923i) q^{87} +(1.71305 + 1.10091i) q^{88} +(-7.17644 + 8.28205i) q^{89} +(1.51663 + 8.91832i) q^{90} +(12.8306 - 12.0826i) q^{91} +(-1.04117 + 4.68145i) q^{92} +(-13.5614 + 3.13274i) q^{93} +(0.635458 - 2.16417i) q^{94} +(-4.26514 - 3.69576i) q^{95} +(1.63047 + 0.584430i) q^{96} +(17.8278 + 2.56325i) q^{97} +(6.10522 - 3.42437i) q^{98} +(-3.88078 + 4.71788i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 640 q + 64 q^{4} + 8 q^{9}+O(q^{10}) $ 640 * q + 64 * q^4 + 8 * q^9	$ 640 q + 64 q^{4} + 8 q^{9} + 8 q^{15} - 64 q^{16} + 20 q^{18} + 54 q^{21} - 8 q^{22} - 56 q^{25} - 44 q^{30} - 8 q^{36} + 20 q^{37} - 16 q^{39} - 4 q^{42} - 28 q^{43} + 24 q^{46} - 68 q^{49} - 40 q^{51} + 32 q^{57} - 80 q^{58} - 8 q^{60} + 86 q^{63} + 64 q^{64} + 24 q^{67} + 72 q^{70} - 64 q^{72} - 8 q^{78} - 144 q^{79} + 20 q^{81} + 34 q^{84} + 32 q^{85} + 8 q^{88} - 40 q^{91} + 16 q^{93} + 68 q^{99}+O(q^{100}) $ 640 * q + 64 * q^4 + 8 * q^9 + 8 * q^15 - 64 * q^16 + 20 * q^18 + 54 * q^21 - 8 * q^22 - 56 * q^25 - 44 * q^30 - 8 * q^36 + 20 * q^37 - 16 * q^39 - 4 * q^42 - 28 * q^43 + 24 * q^46 - 68 * q^49 - 40 * q^51 + 32 * q^57 - 80 * q^58 - 8 * q^60 + 86 * q^63 + 64 * q^64 + 24 * q^67 + 72 * q^70 - 64 * q^72 - 8 * q^78 - 144 * q^79 + 20 * q^81 + 34 * q^84 + 32 * q^85 + 8 * q^88 - 40 * q^91 + 16 * q^93 + 68 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/966\mathbb{Z}\right)^\times$.

$n$	$323$	$829$	$925$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{6}{11}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−0.281733	+	0.959493i	−0.199215	+	0.678464i
$2$	−0.281733	+	0.959493i	−0.199215	+	0.678464i
$3$	−1.53070	−	0.810522i	−0.883752	−	0.467955i
$3$	−1.53070	−	0.810522i	−0.883752	−	0.467955i
$4$	−0.841254	−	0.540641i	−0.420627	−	0.270320i
$5$	0.429144	−	2.98476i	0.191919	−	1.33483i	−0.635003	−	0.772509i	$-0.719001\pi$
$5$	0.429144	−	2.98476i	0.191919	−	1.33483i	0.826922	−	0.562316i	$-0.190090\pi$
$6$	1.20894	−	1.24035i	0.493547	−	0.506370i
$7$	0.998575	−	2.45007i	0.377426	−	0.926040i
$7$	0.998575	−	2.45007i	0.377426	−	0.926040i
$8$	0.755750	−	0.654861i	0.267198	−	0.231528i
$9$	1.68611	+	2.48134i	0.562036	+	0.827113i
$10$	2.74295	+	1.25266i	0.867398	+	0.396127i
$11$	0.573693	+	1.95382i	0.172975	+	0.589099i	0.999651	+	0.0264204i	$0.00841086\pi$
$11$	0.573693	+	1.95382i	0.172975	+	0.589099i	−0.826676	+	0.562678i	$0.809771\pi$
$12$	0.849508	+	1.50942i	0.245232	+	0.435731i
$13$	6.05937	+	2.76722i	1.68057	+	0.767490i	0.999374	+	0.0353872i	$0.0112665\pi$
$13$	6.05937	+	2.76722i	1.68057	+	0.767490i	0.681194	+	0.732103i	$0.261461\pi$
$14$	2.06950	+	1.64839i	0.553096	+	0.440551i
$15$	−3.07611	+	4.22095i	−0.794247	+	1.08985i
$16$	0.415415	+	0.909632i	0.103854	+	0.227408i
$17$	0.0776647	−	0.0499121i	0.0188365	−	0.0121055i	−0.531189	−	0.847254i	$-0.678254\pi$
$17$	0.0776647	−	0.0499121i	0.0188365	−	0.0121055i	0.550025	+	0.835148i	$0.314618\pi$
$18$	−2.85586	+	0.918734i	−0.673132	+	0.216548i
$19$	1.01184	−	1.57445i	0.232132	−	0.361204i	−0.705573	−	0.708637i	$-0.749310\pi$
$19$	1.01184	−	1.57445i	0.232132	−	0.361204i	0.937705	+	0.347433i	$0.112947\pi$
$20$	−1.97470	+	2.27893i	−0.441557	+	0.509584i
$21$	−3.51436	+	2.94097i	−0.766896	+	0.641771i
$22$	−2.03630			−0.434142
$23$	−1.65510	−	4.50118i	−0.345112	−	0.938562i
$23$	−1.65510	−	4.50118i	−0.345112	−	0.938562i
$24$	−1.68761	+	0.389846i	−0.344482	+	0.0795770i
$25$	−3.92717	−	1.15312i	−0.785434	−	0.230624i
$26$	−4.36225	+	5.03431i	−0.855509	+	0.987309i
$27$	−0.569750	−	5.16482i	−0.109649	−	0.993970i
$28$	−2.16466	+	1.52126i	−0.409083	+	0.287491i
$29$	3.53731	+	5.50417i	0.656862	+	1.02210i	0.996665	+	0.0816012i	$0.0260034\pi$
$29$	3.53731	+	5.50417i	0.656862	+	1.02210i	−0.339803	+	0.940497i	$0.610360\pi$
$30$	−3.18334	−	4.14068i	−0.581195	−	0.755982i
$31$	6.07309	−	5.26236i	1.09076	−	0.945148i	0.0920408	−	0.995755i	$-0.470661\pi$
$31$	6.07309	−	5.26236i	1.09076	−	0.945148i	0.998719	+	0.0506068i	$0.0161155\pi$
$32$	−0.989821	+	0.142315i	−0.174977	+	0.0251579i
$33$	0.705460	−	3.45571i	0.122805	−	0.601562i
$34$	0.0260096	+	0.0885806i	0.00446061	+	0.0151915i
$35$	−6.88434	−	4.03194i	−1.16367	−	0.681522i
$36$	−0.0769308	−	2.99901i	−0.0128218	−	0.499836i
$37$	−0.846585	−	5.88813i	−0.139178	−	0.968003i	−0.933006	−	0.359861i	$-0.882824\pi$
$37$	−0.846585	−	5.88813i	−0.139178	−	0.968003i	0.793828	−	0.608142i	$-0.208085\pi$
$38$	1.22561	+	1.41443i	0.198820	+	0.229450i
$39$	−7.03221	−	9.14706i	−1.12605	−	1.46470i
$40$	−1.63028	−	2.53676i	−0.257769	−	0.401097i
$41$	0.0967243	−	0.672732i	0.0151058	−	0.105063i	−0.980874	−	0.194646i	$-0.937644\pi$
$41$	0.0967243	−	0.672732i	0.0151058	−	0.105063i	0.995979	+	0.0895827i	$0.0285533\pi$
$42$	−1.83173	−	4.20057i	−0.282642	−	0.648162i
$43$	3.86953	−	4.46568i	0.590098	−	0.681010i	−0.379646	−	0.925132i	$-0.623954\pi$
$43$	3.86953	−	4.46568i	0.590098	−	0.681010i	0.969745	+	0.244122i	$0.0784997\pi$
$44$	0.573693	−	1.95382i	0.0864875	−	0.294549i
$45$	8.12979	−	3.96778i	1.21192	−	0.591481i
$46$	4.78515	−	0.319925i	0.705532	−	0.0471703i
$47$	−2.25554			−0.329004			−0.164502	−	0.986377i	$-0.552602\pi$
$47$	−2.25554			−0.329004			−0.164502	+	0.986377i	$0.552602\pi$
$48$	0.101400	−	1.72908i	0.0146358	−	0.249571i
$49$	−5.00570	−	4.89316i	−0.715100	−	0.699023i
$50$	2.21282	−	3.44322i	0.312940	−	0.486945i
$51$	−0.159337	+	0.0134516i	−0.0223116	+	0.00188361i
$52$	−3.60140	−	5.60388i	−0.499424	−	0.777119i
$53$	−9.03082	+	4.12424i	−1.24048	+	0.566508i	−0.924109	−	0.382128i	$-0.875191\pi$
$53$	−9.03082	+	4.12424i	−1.24048	+	0.566508i	−0.316369	+	0.948636i	$0.602464\pi$
$54$	5.11613	+	0.908427i	0.696217	+	0.123621i
$55$	6.07788	−	0.873867i	0.819541	−	0.117832i
$56$	−0.849783	−	2.50557i	−0.113557	−	0.334821i
$57$	−2.82495	+	1.58990i	−0.374174	+	0.210588i
$58$	−6.27778	+	1.84332i	−0.824314	+	0.242040i
$59$	2.67243	−	5.85180i	0.347921	−	0.761840i	−0.652073	−	0.758157i	$-0.726100\pi$
$59$	2.67243	−	5.85180i	0.347921	−	0.761840i	0.999993	−	0.00368347i	$-0.00117249\pi$
$60$	4.86981	−	1.88782i	0.628689	−	0.243717i
$61$	−5.71053	+	4.94820i	−0.731159	+	0.633553i	−0.938724	−	0.344668i	$-0.887991\pi$
$61$	−5.71053	+	4.94820i	−0.731159	+	0.633553i	0.207566	+	0.978221i	$0.433446\pi$
$62$	3.33821	+	7.30967i	0.423954	+	0.928329i
$63$	7.76316	−	1.65328i	0.978066	−	0.208294i
$64$	0.142315	−	0.989821i	0.0177894	−	0.123728i
$65$	10.8598	−	16.8982i	1.34700	−	2.09597i
$66$	3.11698	+	1.65047i	0.383674	+	0.203159i
$67$	0.480765	+	0.141165i	0.0587348	+	0.0172461i	0.310968	−	0.950420i	$-0.399347\pi$
$67$	0.480765	+	0.141165i	0.0587348	+	0.0172461i	−0.252233	+	0.967666i	$0.581165\pi$
$68$	−0.0923203			−0.0111955
$69$	−1.11485	+	8.23147i	−0.134212	+	0.990953i
$70$	5.80816	−	5.46955i	0.694208	−	0.653736i
$71$	−3.61994	+	12.3284i	−0.429607	+	1.46311i	0.406047	+	0.913852i	$0.366907\pi$
$71$	−3.61994	+	12.3284i	−0.429607	+	1.46311i	−0.835654	+	0.549256i	$0.814911\pi$
$72$	2.89921	+	0.771105i	0.341675	+	0.0908756i
$73$	−1.66404	+	2.58929i	−0.194761	+	0.303054i	−0.924875	−	0.380272i	$-0.875831\pi$
$73$	−1.66404	+	2.58929i	−0.194761	+	0.303054i	0.730114	+	0.683325i	$0.239467\pi$
$74$	5.88813	+	0.846585i	0.684481	+	0.0984135i
$75$	5.07670	+	4.94814i	0.586207	+	0.571362i
$76$	−1.70243	+	0.777472i	−0.195282	+	0.0891822i
$77$	5.35987	+	0.545446i	0.610814	+	0.0621593i
$78$	10.7577	−	4.17033i	1.21807	−	0.472197i
$79$	−1.63260	+	3.57490i	−0.183682	+	0.402208i	−0.978964	−	0.204032i	$-0.934595\pi$
$79$	−1.63260	+	3.57490i	−0.183682	+	0.402208i	0.795282	+	0.606240i	$0.207323\pi$
$80$	2.89331	−	0.849551i	0.323482	−	0.0949827i
$81$	−3.31408	+	8.36761i	−0.368232	+	0.929734i
$82$	0.618232	+	0.282337i	0.0682723	+	0.0311789i
$83$	−0.905965	−	6.30113i	−0.0994426	−	0.691639i	−0.977167	−	0.212473i	$-0.931848\pi$
$83$	−0.905965	−	6.30113i	−0.0994426	−	0.691639i	0.877724	−	0.479166i	$-0.159061\pi$
$84$	4.54647	−	0.574092i	0.496061	−	0.0626386i
$85$	−0.115646	−	0.253230i	−0.0125436	−	0.0274667i
$86$	3.19462	+	4.97092i	0.344484	+	0.536028i
$87$	−0.953328	−	11.2923i	−0.102208	−	1.21066i
$88$	1.71305	+	1.10091i	0.182612	+	0.117357i
$89$	−7.17644	+	8.28205i	−0.760701	+	0.877896i	−0.995560	−	0.0941339i	$-0.969992\pi$
$89$	−7.17644	+	8.28205i	−0.760701	+	0.877896i	0.234859	+	0.972030i	$0.424537\pi$
$90$	1.51663	+	8.91832i	0.159867	+	0.940074i
$91$	12.8306	−	12.0826i	1.34502	−	1.26660i
$92$	−1.04117	+	4.68145i	−0.108549	+	0.488075i
$93$	−13.5614	+	3.13274i	−1.40625	+	0.324850i
$94$	0.635458	−	2.16417i	0.0655425	−	0.223217i
$95$	−4.26514	−	3.69576i	−0.437594	−	0.379177i
$96$	1.63047	+	0.584430i	0.166409	+	0.0596482i
$97$	17.8278	+	2.56325i	1.81013	+	0.260258i	0.962686	−	0.270619i	$-0.0872285\pi$
$97$	17.8278	+	2.56325i	1.81013	+	0.260258i	0.847449	+	0.530878i	$0.178138\pi$
$98$	6.10522	−	3.42437i	0.616720	−	0.345914i
$99$	−3.88078	+	4.71788i	−0.390033	+	0.474164i
$100$	2.68032	+	3.09325i	0.268032	+	0.309325i
$101$	−2.53482	−	17.6301i	−0.252224	−	1.75426i	−0.584797	−	0.811180i	$-0.698826\pi$
$101$	−2.53482	−	17.6301i	−0.252224	−	1.75426i	0.332573	−	0.943078i	$-0.392083\pi$
$102$	0.0319836	−	0.156672i	0.00316684	−	0.0155128i
$103$	−4.39369	−	14.9635i	−0.432923	−	1.47440i	−0.830597	−	0.556874i	$-0.812001\pi$
$103$	−4.39369	−	14.9635i	−0.432923	−	1.47440i	0.397674	−	0.917527i	$-0.369818\pi$
$104$	6.39152	−	1.87672i	0.626740	−	0.184027i
$105$	7.26991	+	11.7516i	0.709471	+	1.14684i
$106$	−1.41290	−	9.82694i	−0.137233	−	0.954477i
$107$	0.948672	−	0.822029i	0.0917116	−	0.0794685i	−0.607798	−	0.794091i	$-0.707947\pi$
$107$	0.948672	−	0.822029i	0.0917116	−	0.0794685i	0.699510	+	0.714623i	$0.253402\pi$
$108$	−2.31301	+	4.65295i	−0.222569	+	0.447731i
$109$	0.704629	−	0.452838i	0.0674912	−	0.0433740i	−0.506460	−	0.862263i	$-0.669046\pi$
$109$	0.704629	−	0.452838i	0.0674912	−	0.0433740i	0.573951	+	0.818889i	$0.305410\pi$
$110$	−0.873867	+	6.07788i	−0.0833200	+	0.579503i
$111$	−3.47659	+	9.69916i	−0.329983	+	0.920603i
$112$	2.64349	−	0.109461i	0.249786	−	0.0103431i
$113$	1.04489	−	3.55857i	0.0982950	−	0.334762i	−0.895633	−	0.444794i	$-0.853277\pi$
$113$	1.04489	−	3.55857i	0.0982950	−	0.334762i	0.993928	+	0.110032i	$0.0350952\pi$
$114$	−0.729618	−	3.15845i	−0.0683350	−	0.295816i
$115$	−14.1452	+	3.00842i	−1.31905	+	0.280536i
$116$		−	6.54281i		−	0.607485i
$117$	3.35034	+	19.7012i	0.309739	+	1.82138i
$118$	4.86186	+	4.21282i	0.447570	+	0.387822i
$119$	−0.0447342	−	0.240125i	−0.00410077	−	0.0220122i
$120$	0.439370	+	5.20441i	0.0401088	+	0.475095i
$121$	5.76550	−	3.70526i	0.524136	−	0.336842i
$122$	−3.13892	−	6.87329i	−0.284185	−	0.622278i
$123$	−0.693321	+	0.951357i	−0.0625146	+	0.0857809i
$124$	−7.95406	+	1.14362i	−0.714296	+	0.102700i
$125$	1.13622	−	2.48796i	0.101626	−	0.222530i
$126$	−0.600823	+	7.91448i	−0.0535256	+	0.705078i
$127$	−4.28984	+	1.25961i	−0.380662	+	0.111772i	−0.466465	−	0.884540i	$-0.654473\pi$
$127$	−4.28984	+	1.25961i	−0.380662	+	0.111772i	0.0858031	+	0.996312i	$0.472654\pi$
$128$	0.909632	+	0.415415i	0.0804009	+	0.0367178i
$129$	−9.54264	+	3.69929i	−0.840183	+	0.325704i
$130$	13.1542	+	15.1807i	1.15370	+	1.33144i
$131$	0.551012	+	1.20655i	0.0481422	+	0.105417i	0.932175	−	0.362009i	$-0.117909\pi$
$131$	0.551012	+	1.20655i	0.0481422	+	0.105417i	−0.884033	+	0.467425i	$0.845182\pi$
$132$	−2.46177	+	2.52573i	−0.214269	+	0.219836i
$133$	−2.84712	−	4.05129i	−0.246877	−	0.351291i
$134$	−0.270894	+	0.421520i	−0.0234017	+	0.0364138i
$135$	−15.6603	−	0.515883i	−1.34782	−	0.0444001i
$136$	0.0260096	−	0.0885806i	0.00223031	−	0.00759573i
$137$			3.02860i			0.258750i	0.991596	+	0.129375i	$0.0412972\pi$
$137$			3.02860i			0.258750i	−0.991596	+	0.129375i	$0.958703\pi$
$138$	−7.58395	−	3.38876i	−0.645589	−	0.288470i
$139$			4.68182i			0.397107i	0.980090	+	0.198554i	$0.0636244\pi$
$139$			4.68182i			0.397107i	−0.980090	+	0.198554i	$0.936376\pi$
$140$	3.61165	+	7.11384i	0.305240	+	0.601229i
$141$	3.45256	+	1.82816i	0.290758	+	0.153959i
$142$	−10.8091	−	6.94661i	−0.907082	−	0.582946i
$143$	−1.93043	+	13.4265i	−0.161431	+	1.12278i
$144$	−1.55667	+	2.56452i	−0.129723	+	0.213710i
$145$	17.9466	−	8.19595i	1.49039	−	0.680637i
$146$	−2.01559	−	2.32612i	−0.166812	−	0.192511i
$147$	3.69623	+	11.5472i	0.304860	+	0.952397i
$148$	−2.47117	+	5.41111i	−0.203129	+	0.444790i
$149$	−3.09979	−	10.5569i	−0.253945	−	0.864856i	−0.983496	−	0.180930i	$-0.942089\pi$
$149$	−3.09979	−	10.5569i	−0.253945	−	0.864856i	0.729551	−	0.683926i	$-0.239729\pi$
$150$	−6.17798	+	3.47701i	−0.504430	+	0.283896i
$151$	2.34669	−	5.13854i	0.190971	−	0.418168i	−0.789791	−	0.613376i	$-0.789811\pi$
$151$	2.34669	−	5.13854i	0.190971	−	0.418168i	0.980762	+	0.195208i	$0.0625382\pi$
$152$	−0.266350	−	1.85251i	−0.0216038	−	0.150258i
$153$	0.254800	+	0.108555i	0.0205994	+	0.00877618i
$154$	−2.03340	+	4.98909i	−0.163856	+	0.402032i
$155$	−13.1007	−	20.3850i	−1.05227	−	1.63737i
$156$	0.970599	+	11.4969i	0.0777101	+	0.920488i
$157$	0.742537	−	1.15541i	0.0592609	−	0.0922118i	−0.810359	−	0.585934i	$-0.800728\pi$
$157$	0.742537	−	1.15541i	0.0592609	−	0.0922118i	0.869620	+	0.493722i	$0.164364\pi$
$158$	−2.97014	−	2.57364i	−0.236291	−	0.204748i
$159$	17.1663	+	1.00670i	1.36138	+	0.0798361i
$160$			3.01545i			0.238393i
$161$	−12.6810	−	0.439660i	−0.999400	−	0.0346501i
$162$	−7.09497	−	5.53727i	−0.557434	−	0.435049i
$163$	−3.39218	−	0.996035i	−0.265696	−	0.0780155i	0.146171	−	0.989259i	$-0.453305\pi$
$163$	−3.39218	−	0.996035i	−0.265696	−	0.0780155i	−0.411867	+	0.911244i	$0.635123\pi$
$164$	−0.445076	+	0.513645i	−0.0347546	+	0.0401090i
$165$	−10.0117	−	3.58863i	−0.779412	−	0.279374i
$166$	6.30113	+	0.905965i	0.489062	+	0.0703165i
$167$	6.02668	−	3.87311i	0.466359	−	0.299710i	−0.286278	−	0.958147i	$-0.592418\pi$
$167$	6.02668	−	3.87311i	0.466359	−	0.299710i	0.752637	+	0.658436i	$0.228782\pi$
$168$	−0.730052	+	4.52405i	−0.0563248	+	0.349038i
$169$	20.5453	+	23.7105i	1.58041	+	1.82389i
$170$	0.275554	−	0.0396187i	0.0211340	−	0.00303861i
$171$	5.61282	−	0.143980i	0.429223	−	0.0110104i
$172$	−5.66959	+	1.66474i	−0.432302	+	0.126935i
$173$	−18.6544	+	5.47744i	−1.41827	+	0.416442i	−0.898918	−	0.438118i	$-0.855645\pi$
$173$	−18.6544	+	5.47744i	−1.41827	+	0.416442i	−0.519353	+	0.854560i	$0.673827\pi$
$174$	11.1035	+	2.26670i	0.841753	+	0.171838i
$175$	−6.74680	+	8.47036i	−0.510010	+	0.640299i
$176$	−1.53894	+	1.33350i	−0.116002	+	0.100516i
$177$	−8.83372	+	6.79132i	−0.663983	+	0.510467i
$178$	−5.92473	−	9.21907i	−0.444078	−	0.690998i
$179$	−6.44375	−	0.926471i	−0.481628	−	0.0692477i	−0.102775	−	0.994705i	$-0.532772\pi$
$179$	−6.44375	−	0.926471i	−0.481628	−	0.0692477i	−0.378853	+	0.925457i	$0.623681\pi$
$180$	−8.98435	−	1.05739i	−0.669654	−	0.0788131i
$181$	−4.24532	−	3.67859i	−0.315552	−	0.273428i	0.482655	−	0.875811i	$-0.339673\pi$
$181$	−4.24532	−	3.67859i	−0.315552	−	0.273428i	−0.798207	+	0.602383i	$0.794218\pi$
$182$	7.97838	+	15.7150i	0.591397	+	1.16487i
$183$	12.7518	−	2.94572i	0.942637	−	0.217754i
$184$	−4.19849	−	2.31791i	−0.309517	−	0.170879i
$185$	−17.9380			−1.31883
$186$	0.814833	−	13.8946i	0.0597464	−	1.01880i
$187$	0.142075	+	0.123109i	0.0103896	+	0.00900260i
$188$	1.89748	+	1.21944i	0.138388	+	0.0889365i
$189$	−13.2231	−	3.76153i	−0.961840	−	0.273611i
$190$	4.74769	−	3.05115i	0.344434	−	0.221354i
$191$	−15.0634	+	6.87925i	−1.08995	+	0.497765i	−0.877583	−	0.479425i	$-0.840845\pi$
$191$	−15.0634	+	6.87925i	−1.08995	+	0.497765i	−0.212370	+	0.977189i	$0.568118\pi$
$192$	−1.02011	+	1.39977i	−0.0736204	+	0.101020i
$193$	3.77167	+	26.2325i	0.271491	+	1.88826i	0.433009	+	0.901390i	$0.357452\pi$
$193$	3.77167	+	26.2325i	0.271491	+	1.88826i	−0.161518	+	0.986870i	$0.551639\pi$
$194$	−7.48208	+	16.3835i	−0.537182	+	1.17626i
$195$	−30.3196	+	17.0641i	−2.17123	+	1.22198i
$196$	1.56562	+	6.82267i	0.111830	+	0.487334i
$197$	8.03565	+	3.66976i	0.572517	+	0.261460i	0.680567	−	0.732686i	$-0.261734\pi$
$197$	8.03565	+	3.66976i	0.572517	+	0.261460i	−0.108050	+	0.994145i	$0.534461\pi$
$198$	−3.43343	−	5.05276i	−0.244003	−	0.359084i
$199$	−2.90772	+	2.51956i	−0.206123	+	0.178607i	−0.751805	−	0.659386i	$-0.770816\pi$
$199$	−2.90772	+	2.51956i	−0.206123	+	0.178607i	0.545681	+	0.837993i	$0.316271\pi$
$200$	−3.72309	+	1.70028i	−0.263262	+	0.120228i
$201$	−0.621491	−	0.605753i	−0.0438366	−	0.0427265i
$202$	17.6301	+	2.53482i	1.24045	+	0.178349i
$203$	17.0179	−	3.17035i	1.19442	−	0.222515i
$204$	0.141315	+	0.0748276i	0.00989403	+	0.00523898i
$205$	−1.96644	−	0.577398i	−0.137342	−	0.0403272i
$206$	15.5953			1.08657
$207$	8.37829	−	11.6963i	0.582331	−	0.812952i
$208$			6.66135i			0.461881i
$209$	3.65668	+	1.07370i	0.252938	+	0.0742693i
$210$	−13.3238	+	3.66462i	−0.919427	+	0.252883i
$211$	17.0654	+	10.9673i	1.17483	+	0.755018i	0.974429	−	0.224696i	$-0.0721388\pi$
$211$	17.0654	+	10.9673i	1.17483	+	0.755018i	0.200402	+	0.979714i	$0.435775\pi$
$212$	9.82694	+	1.41290i	0.674917	+	0.0970384i
$213$	15.5335	−	15.9370i	1.06434	−	1.09199i
$214$	0.521459	+	1.14184i	0.0356462	+	0.0780543i
$215$	−11.6684	−	13.4661i	−0.795778	−	0.918377i
$216$	−3.81283	−	3.53020i	−0.259430	−	0.240200i
$217$	−6.82873	−	20.1344i	−0.463564	−	1.36681i
$218$	0.235978	+	0.803666i	0.0159824	+	0.0544311i
$219$	4.64583	−	2.61470i	0.313936	−	0.176685i
$220$	−5.58549	−	2.55081i	−0.376573	−	0.171975i
$221$	0.608718	−	0.0875204i	0.0409468	−	0.00588726i
$222$	−8.32681	−	6.06833i	−0.558859	−	0.407280i
$223$	−11.0877	+	5.06360i	−0.742490	+	0.339084i	−0.750488	−	0.660884i	$-0.770181\pi$
$223$	−11.0877	+	5.06360i	−0.742490	+	0.339084i	0.00799781	+	0.999968i	$0.497454\pi$
$224$	−0.639729	+	2.56724i	−0.0427437	+	0.171531i
$225$	−3.76034	−	11.6889i	−0.250690	−	0.779261i
$226$	3.12004	+	2.00513i	0.207542	+	0.133379i
$227$	8.57949	−	9.90126i	0.569441	−	0.657170i	−0.395860	−	0.918311i	$-0.629553\pi$
$227$	8.57949	−	9.90126i	0.569441	−	0.657170i	0.965301	+	0.261141i	$0.0840989\pi$
$228$	3.23607	+	0.189775i	0.214314	+	0.0125682i
$229$			7.41295i			0.489862i	0.969541	+	0.244931i	$0.0787653\pi$
$229$			7.41295i			0.489862i	−0.969541	+	0.244931i	$0.921235\pi$
$230$	1.09862	−	14.4198i	0.0724408	−	0.950815i
$231$	−7.76228	−	5.17921i	−0.510721	−	0.340767i
$232$	6.27778	+	1.84332i	0.412157	+	0.121020i
$233$	22.7117	+	19.6798i	1.48789	+	1.28926i	0.859237	+	0.511578i	$0.170939\pi$
$233$	22.7117	+	19.6798i	1.48789	+	1.28926i	0.628653	+	0.777686i	$0.283607\pi$
$234$	−19.8471	−	2.33584i	−1.29744	−	0.152699i
$235$	−0.967950	+	6.73224i	−0.0631421	+	0.439163i
$236$	−5.41192	+	3.47803i	−0.352286	+	0.226400i
$237$	5.39657	−	4.14886i	0.350545	−	0.269497i
$238$	0.243001	+	0.0247290i	0.0157514	+	0.00160294i
$239$	−15.0731	+	2.16719i	−0.975000	+	0.140184i	−0.611357	−	0.791355i	$-0.709376\pi$
$239$	−15.0731	+	2.16719i	−0.975000	+	0.140184i	−0.363643	+	0.931539i	$0.618467\pi$
$240$	−5.11738	−	1.04468i	−0.330325	−	0.0674337i
$241$	−3.98397	−	13.5682i	−0.256630	−	0.874003i	−0.982515	−	0.186186i	$-0.940387\pi$
$241$	−3.98397	−	13.5682i	−0.256630	−	0.874003i	0.725884	−	0.687817i	$-0.241431\pi$
$242$	1.93084	+	6.57585i	0.124119	+	0.422712i
$243$	11.8550	−	10.1222i	0.760499	−	0.649339i
$244$	7.47921	−	1.07535i	0.478807	−	0.0688421i
$245$	−16.7531	+	12.8409i	−1.07031	+	0.820378i
$246$	−0.717489	−	0.933265i	−0.0457454	−	0.0595028i
$247$	10.4880	−	6.74021i	0.667334	−	0.428869i
$248$	1.14362	−	7.95406i	0.0726200	−	0.505083i
$249$	−3.72044	+	10.3795i	−0.235773	+	0.657772i
$250$	2.06708	+	1.79113i	0.130733	+	0.113281i
$251$	−9.29356	−	2.72884i	−0.586604	−	0.172243i	−0.0250554	−	0.999686i	$-0.507976\pi$
$251$	−9.29356	−	2.72884i	−0.586604	−	0.172243i	−0.561549	+	0.827443i	$0.689794\pi$
$252$	−7.42462	−	2.80625i	−0.467707	−	0.176777i
$253$	7.84498	−	5.81606i	0.493210	−	0.365653i
$254$		−	4.47095i		−	0.280532i
$255$	−0.0282284	+	0.481354i	−0.00176773	+	0.0301436i
$256$	−0.654861	+	0.755750i	−0.0409288	+	0.0472343i
$257$	20.8635	+	13.4082i	1.30143	+	0.836378i	0.993367	−	0.114988i	$-0.0366828\pi$
$257$	20.8635	+	13.4082i	1.30143	+	0.836378i	0.308063	+	0.951366i	$0.400319\pi$
$258$	−0.860969	−	10.1983i	−0.0536016	−	0.634919i
$259$	−15.2717	−	3.80554i	−0.948938	−	0.236465i
$260$	−18.2718	+	8.34443i	−1.13317	+	0.517500i
$261$	−7.69341	+	18.0579i	−0.476210	+	1.11776i
$262$	−1.31291	+	0.188768i	−0.0811120	+	0.0116621i
$263$	22.3081	+	10.1878i	1.37558	+	0.628205i	0.959651	−	0.281193i	$-0.0907302\pi$
$263$	22.3081	+	10.1878i	1.37558	+	0.628205i	0.415926	+	0.909398i	$0.363457\pi$
$264$	−1.72986	−	3.07363i	−0.106465	−	0.189169i
$265$	8.43434	+	28.7247i	0.518118	+	1.76455i
$266$	4.68931	−	1.59042i	0.287520	−	0.0975147i
$267$	17.6978	−	6.86070i	1.08309	−	0.419868i
$268$	−0.328126	−	0.378677i	−0.0200435	−	0.0231314i
$269$	−1.38345	−	3.02934i	−0.0843507	−	0.184702i	0.862757	−	0.505620i	$-0.168736\pi$
$269$	−1.38345	−	3.02934i	−0.0843507	−	0.184702i	−0.947107	+	0.320917i	$0.896009\pi$
$270$	4.90699	−	14.8806i	0.298630	−	0.905603i
$271$	0.783974	+	0.112718i	0.0476230	+	0.00684716i	0.166085	−	0.986111i	$-0.446887\pi$
$271$	0.783974	+	0.112718i	0.0476230	+	0.00684716i	−0.118462	+	0.992959i	$0.537796\pi$
$272$	0.0776647	+	0.0499121i	0.00470912	+	0.00302637i
$273$	−29.4331	+	8.09540i	−1.78137	+	0.489956i
$274$	−2.90592	−	0.853254i	−0.175553	−	0.0515470i
$275$		−	8.33452i		−	0.502590i
$276$	5.38814	−	6.32202i	0.324328	−	0.380541i
$277$	−10.7005			−0.642929			−0.321464	−	0.946922i	$-0.604175\pi$
$277$	−10.7005			−0.642929			−0.321464	+	0.946922i	$0.604175\pi$
$278$	−4.49218	−	1.31902i	−0.269423	−	0.0791097i
$279$	23.2976	+	6.19649i	1.39479	+	0.370974i
$280$	−7.84320	+	1.46115i	−0.468721	+	0.0873204i
$281$	14.0234	+	2.01626i	0.836567	+	0.120280i	0.547267	−	0.836958i	$-0.315668\pi$
$281$	14.0234	+	2.01626i	0.836567	+	0.120280i	0.289300	+	0.957238i	$0.406577\pi$
$282$	−2.72681	+	2.79765i	−0.162379	+	0.166598i
$283$	−14.1228	+	6.44966i	−0.839513	+	0.383393i	−0.788297	−	0.615295i	$-0.789037\pi$
$283$	−14.1228	+	6.44966i	−0.839513	+	0.383393i	−0.0512157	+	0.998688i	$0.516310\pi$
$284$	9.71050	−	8.41420i	0.576212	−	0.499291i
$285$	3.53317	+	9.11411i	0.209287	+	0.539873i
$286$	−12.3387	−	5.63491i	−0.729604	−	0.333199i
$287$	−1.55166	−	0.908755i	−0.0915913	−	0.0536421i
$288$	−2.02208	−	2.21612i	−0.119152	−	0.130586i
$289$	−7.05851	+	15.4560i	−0.415207	+	0.909176i
$290$	2.80781	+	19.5287i	0.164880	+	1.14677i
$291$	−25.2115	−	18.3734i	−1.47792	−	1.07707i
$292$	2.79975	−	1.27861i	0.163843	−	0.0748247i
$293$	−1.89065	+	1.21504i	−0.110453	+	0.0709837i	−0.594701	−	0.803947i	$-0.702730\pi$
$293$	−1.89065	+	1.21504i	−0.110453	+	0.0709837i	0.484248	+	0.874931i	$0.339093\pi$
$294$	−12.1208	+	0.293280i	−0.706900	+	0.0171044i
$295$	−16.3194	−	10.4878i	−0.950151	−	0.610625i
$296$	−4.49571	−	3.89556i	−0.261308	−	0.226425i
$297$	9.76427	−	4.07621i	0.566580	−	0.236526i
$298$	11.0026			0.637364
$299$	2.42692	−	31.8544i	0.140353	−	1.84219i
$300$	−1.59562	−	6.90731i	−0.0921234	−	0.398794i
$301$	−7.07722	−	13.9399i	−0.407924	−	0.803485i
$302$	4.26925	+	3.69933i	0.245668	+	0.212872i
$303$	−10.4095	+	29.0409i	−0.598010	+	1.66836i
$304$	1.85251	+	0.266350i	0.106248	+	0.0152762i
$305$	12.3186	+	19.1681i	0.705359	+	1.09756i
$306$	−0.175944	+	0.213895i	−0.0100580	+	0.0122276i
$307$	18.4282	−	15.9681i	1.05175	−	0.911350i	0.0555548	−	0.998456i	$-0.482307\pi$
$307$	18.4282	−	15.9681i	1.05175	−	0.911350i	0.996199	+	0.0871057i	$0.0277618\pi$
$308$	−4.21412	−	3.35662i	−0.240122	−	0.191261i
$309$	−5.40284	+	26.4659i	−0.307357	+	1.50559i
$310$	23.2502	−	6.82687i	1.32052	−	0.387740i
$311$	15.6827	−	4.60485i	0.889284	−	0.261117i	0.194987	−	0.980806i	$-0.437534\pi$
$311$	15.6827	−	4.60485i	0.889284	−	0.261117i	0.694297	+	0.719689i	$0.255715\pi$
$312$	−11.3046	−	2.30777i	−0.639999	−	0.130652i
$313$	−17.9500	+	2.58082i	−1.01459	+	0.145877i	−0.629499	−	0.777001i	$-0.716740\pi$
$313$	−17.9500	+	2.58082i	−1.01459	+	0.145877i	−0.385094	+	0.922877i	$0.625831\pi$
$314$	0.899411	+	1.03798i	0.0507567	+	0.0585764i
$315$	−1.60314	−	23.8807i	−0.0903265	−	1.34552i
$316$	3.30617	−	2.12475i	0.185987	−	0.119526i
$317$	29.5709	+	4.25165i	1.66087	+	0.238797i	0.907877	−	0.419236i	$-0.137702\pi$
$317$	29.5709	+	4.25165i	1.66087	+	0.238797i	0.752990	+	0.658032i	$0.228611\pi$
$318$	−5.80222	+	16.1873i	−0.325372	+	0.907740i
$319$	−8.72482	+	10.0690i	−0.488496	+	0.563754i
$320$	−2.89331	−	0.849551i	−0.161741	−	0.0474914i
$321$	−2.11841	+	0.489363i	−0.118238	+	0.0273136i
$322$	3.99449	−	12.0434i	0.222604	−	0.671154i
$323$		−	0.172782i		−	0.00961387i
$324$	7.31185	−	5.24755i	0.406214	−	0.291531i
$325$	−20.6052	−	17.8545i	−1.14297	−	0.990392i
$326$	1.91138	−	2.97416i	0.105861	−	0.164724i
$327$	−1.44561	+	0.122043i	−0.0799426	+	0.00674898i
$328$	−0.367447	−	0.571758i	−0.0202888	−	0.0315701i
$329$	−2.25232	+	5.52623i	−0.124175	+	0.304671i
$330$	6.26389	−	8.59515i	0.344816	−	0.473147i
$331$	−0.412411	−	2.86838i	−0.0226682	−	0.157661i	0.975343	−	0.220693i	$-0.0708319\pi$
$331$	−0.412411	−	2.86838i	−0.0226682	−	0.157661i	−0.998011	+	0.0630325i	$0.979923\pi$
$332$	−2.64450	+	5.79065i	−0.145136	+	0.317803i
$333$	13.1830	−	12.0287i	0.722425	−	0.659168i
$334$	2.01831	+	6.87374i	0.110437	+	0.376114i
$335$	0.627662	−	1.37439i	0.0342929	−	0.0750909i
$336$	−4.13511	−	1.97505i	−0.225589	−	0.107748i
$337$	−4.04258	−	4.66538i	−0.220213	−	0.254140i	0.634884	−	0.772608i	$-0.281048\pi$
$337$	−4.04258	−	4.66538i	−0.220213	−	0.254140i	−0.855097	+	0.518468i	$0.826503\pi$
$338$	−28.5384	+	13.0330i	−1.55228	+	0.708904i
$339$	−4.48372	+	4.60021i	−0.243522	+	0.249849i
$340$	−0.0396187	+	0.275554i	−0.00214862	+	0.0149440i
$341$	13.7658	+	8.84674i	0.745460	+	0.479078i
$342$	−1.44317	+	5.42603i	−0.0780375	+	0.293406i
$343$	−16.9871	+	7.37813i	−0.917220	+	0.398382i
$344$		−	5.90894i		−	0.318589i
$345$	24.0905	+	6.86003i	1.29699	+	0.369332i
$346$		−	19.4420i		−	1.04521i
$347$	9.40220	−	32.0210i	0.504737	−	1.71898i	−0.174138	−	0.984721i	$-0.555714\pi$
$347$	9.40220	−	32.0210i	0.504737	−	1.71898i	0.678875	−	0.734254i	$-0.262468\pi$
$348$	−5.30310	+	10.0151i	−0.284276	+	0.536866i
$349$	−19.3828	+	30.1603i	−1.03754	+	1.61444i	−0.281915	+	0.959440i	$0.590969\pi$
$349$	−19.3828	+	30.1603i	−1.03754	+	1.61444i	−0.755625	+	0.655004i	$0.772667\pi$
$350$	−6.22646	−	8.85988i	−0.332818	−	0.473581i
$351$	10.8399	−	32.8722i	0.578590	−	1.75459i
$352$	−0.845911	−	1.85229i	−0.0450872	−	0.0987273i
$353$	−13.4238	−	15.4919i	−0.714477	−	0.824550i	0.276155	−	0.961113i	$-0.410940\pi$
$353$	−13.4238	−	15.4919i	−0.714477	−	0.824550i	−0.990631	+	0.136563i	$0.956394\pi$
$354$	−4.02747	−	10.3892i	−0.214058	−	0.552181i
$355$	35.2438	+	16.0953i	1.87054	+	0.854249i
$356$	10.5148	−	3.08743i	0.557284	−	0.163633i
$357$	−0.126152	+	0.403818i	−0.00667667	+	0.0213723i
$358$	2.70436	−	5.92172i	0.142930	−	0.312972i
$359$	−27.1349	+	3.90141i	−1.43213	+	0.205909i	−0.814317	−	0.580420i	$-0.802888\pi$
$359$	−27.1349	+	3.90141i	−1.43213	+	0.205909i	−0.617808	+	0.786329i	$0.711979\pi$
$360$	3.54574	−	8.32252i	0.186877	−	0.438635i
$361$	6.43780	+	14.0968i	0.338832	+	0.741938i
$362$	4.72563	−	3.03698i	0.248374	−	0.159620i
$363$	−11.8285	+	0.998592i	−0.620834	+	0.0524125i
$364$	−17.3262	+	3.22778i	−0.908138	+	0.169182i
$365$	7.01431	+	6.07793i	0.367146	+	0.318134i
$366$	−0.766188	+	13.0651i	−0.0400493	+	0.682925i
$367$		−	4.47271i		−	0.233473i	−0.993163	−	0.116737i	$-0.962757\pi$
$367$		−	4.47271i		−	0.233473i	0.993163	−	0.116737i	$-0.0372434\pi$
$368$	3.40687	−	3.37539i	0.177595	−	0.175954i
$369$	1.83236	−	0.894293i	0.0953891	−	0.0465550i
$370$	5.05371	−	17.2114i	0.262730	−	0.894776i
$371$	1.08673	+	26.2445i	0.0564201	+	1.36255i
$372$	13.1022	+	4.69640i	0.679319	+	0.243497i
$373$	2.92379	−	20.3354i	0.151388	−	1.05293i	−0.762508	−	0.646979i	$-0.776032\pi$
$373$	2.92379	−	20.3354i	0.151388	−	1.05293i	0.913896	−	0.405949i	$-0.133059\pi$
$374$	−0.158149	+	0.101636i	−0.00817769	+	0.00525548i
$375$	−3.75576	+	2.88741i	−0.193947	+	0.149105i
$376$	−1.70462	+	1.47706i	−0.0879092	+	0.0761737i
$377$	6.20264	+	43.1403i	0.319452	+	2.22184i
$378$	7.33455	−	11.6277i	0.377248	−	0.598067i
$379$	−35.4918	+	10.4213i	−1.82309	+	0.535307i	−0.999492	−	0.0318675i	$-0.989855\pi$
$379$	−35.4918	+	10.4213i	−1.82309	+	0.535307i	−0.823597	+	0.567175i	$0.808036\pi$
$380$	1.58998	+	5.41498i	0.0815644	+	0.277783i
$381$	7.58742	+	1.54892i	0.388715	+	0.0793536i
$382$	−2.35672	−	16.3914i	−0.120581	−	0.838656i
$383$	14.8044	+	17.0852i	0.756470	+	0.873013i	0.995179	−	0.0980783i	$-0.0312696\pi$
$383$	14.8044	+	17.0852i	0.756470	+	0.873013i	−0.238709	+	0.971091i	$0.576724\pi$
$384$	−1.05567	−	1.37315i	−0.0538721	−	0.0700735i
$385$	3.92818	−	15.7639i	0.200199	−	0.803401i
$386$	−26.2325	−	3.77167i	−1.33520	−	0.191973i
$387$	17.6053	+	2.07201i	0.894928	+	0.105326i
$388$	−13.6119	−	11.7948i	−0.691038	−	0.598788i
$389$	9.90649	−	33.7384i	0.502279	−	1.71061i	−0.183698	−	0.982983i	$-0.558807\pi$
$389$	9.90649	−	33.7384i	0.502279	−	1.71061i	0.685977	−	0.727623i	$-0.259375\pi$
$390$	−7.83083	−	33.8990i	−0.396529	−	1.71654i
$391$	−0.353206	−	0.266974i	−0.0178624	−	0.0135014i
$392$	−6.98739	−	0.419967i	−0.352917	−	0.0212115i
$393$	0.134498	−	2.29348i	0.00678452	−	0.115691i
$394$	−5.78501	+	6.67626i	−0.291445	+	0.336345i
$395$	9.96961	+	6.40708i	0.501625	+	0.322375i
$396$	5.81540	−	1.87082i	0.292235	−	0.0940124i
$397$	5.82315	+	9.06100i	0.292256	+	0.454759i	0.956070	−	0.293139i	$-0.0946998\pi$
$397$	5.82315	+	9.06100i	0.292256	+	0.454759i	−0.663814	+	0.747898i	$0.731063\pi$
$398$	−1.59830	−	3.49978i	−0.0801154	−	0.175428i
$399$	1.07445	+	8.50898i	0.0537895	+	0.425982i
$400$	−0.582489	−	4.05130i	−0.0291245	−	0.202565i
$401$	17.4860	+	7.98560i	0.873211	+	0.398782i	0.801040	−	0.598610i	$-0.204280\pi$
$401$	17.4860	+	7.98560i	0.873211	+	0.398782i	0.0721704	+	0.997392i	$0.477007\pi$
$402$	0.756310	−	0.425656i	0.0377213	−	0.0212298i
$403$	51.3613	−	15.0810i	2.55849	−	0.751240i
$404$	−7.39911	+	16.2018i	−0.368119	+	0.806069i
$405$	23.5531	+	13.4827i	1.17036	+	0.669958i
$406$	−1.75256	+	17.2217i	−0.0869782	+	0.854699i
$407$	11.0187	−	5.03206i	0.546175	−	0.249430i
$408$	−0.111610	+	0.114509i	−0.00552550	+	0.00566906i
$409$	34.5546	+	4.96820i	1.70862	+	0.245662i	0.926183	−	0.377074i	$-0.123070\pi$
$409$	34.5546	+	4.96820i	1.70862	+	0.245662i	0.782432	+	0.622736i	$0.213979\pi$
$410$	1.10802	−	1.72411i	0.0547211	−	0.0851477i
$411$	2.45475	−	4.63588i	0.121084	−	0.228671i
$412$	−4.39369	+	14.9635i	−0.216462	+	0.737201i
$413$	−11.6687	−	12.3911i	−0.574180	−	0.609726i
$414$	8.86212	+	11.3341i	0.435549	+	0.557043i
$415$	−19.1961			−0.942302
$416$	−6.39152	−	1.87672i	−0.313370	−	0.0920137i
$417$	3.79472	−	7.16648i	0.185828	−	0.350944i
$418$	−2.06041	+	3.20606i	−0.100778	+	0.156814i
$419$	−4.86796	+	33.8574i	−0.237815	+	1.65404i	0.424951	+	0.905216i	$0.360291\pi$
$419$	−4.86796	+	33.8574i	−0.237815	+	1.65404i	−0.662767	+	0.748826i	$0.730618\pi$
$420$	0.237563	−	13.8165i	0.0115919	−	0.674176i
$421$	−10.5567	−	23.1159i	−0.514502	−	1.12660i	−0.971479	−	0.237124i	$-0.923795\pi$
$421$	−10.5567	−	23.1159i	−0.514502	−	1.12660i	0.456978	−	0.889478i	$-0.348932\pi$
$422$	−15.3309	+	13.2843i	−0.746297	+	0.646670i
$423$	−3.80308	−	5.59675i	−0.184912	−	0.272123i
$424$	−4.12424	+	9.03082i	−0.200291	+	0.438575i
$425$	−0.362557	+	0.106456i	−0.0175866	+	0.00516389i
$426$	10.9152	+	19.3942i	0.528843	+	0.939654i
$427$	6.42106	+	18.9324i	0.310737	+	0.916201i
$428$	−1.24250	+	0.178644i	−0.0600583	+	0.00863508i
$429$	13.8374	−	18.9873i	0.668074	−	0.916714i
$430$	16.2080	−	7.40192i	0.781617	−	0.356952i
$431$	2.65021	+	4.12381i	0.127656	+	0.198637i	0.899198	−	0.437541i	$-0.144151\pi$
$431$	2.65021	+	4.12381i	0.127656	+	0.198637i	−0.771542	+	0.636178i	$0.780514\pi$
$432$	4.46140	−	2.66381i	0.214649	−	0.128163i
$433$	12.7129	−	19.7816i	0.610941	−	0.950643i	−0.388631	−	0.921393i	$-0.627052\pi$
$433$	12.7129	−	19.7816i	0.610941	−	0.950643i	0.999572	−	0.0292492i	$-0.00931164\pi$
$434$	21.2427	−	0.879612i	1.01968	−	0.0422227i
$435$	−34.1140	−	2.00057i	−1.63564	−	0.0959200i
$436$	−0.837594			−0.0401135
$437$	−8.76159	−	1.94860i	−0.419124	−	0.0932142i
$438$	1.19991	+	5.19428i	0.0573337	+	0.248193i
$439$	−9.73409	+	33.1513i	−0.464583	+	1.58222i	0.310634	+	0.950529i	$0.399459\pi$
$439$	−9.73409	+	33.1513i	−0.464583	+	1.58222i	−0.775217	+	0.631695i	$0.782360\pi$
$440$	4.02109	−	4.64059i	0.191698	−	0.221231i
$441$	3.70144	−	20.6712i	0.176259	−	0.984344i
$442$	−0.0875204	+	0.608718i	−0.00416292	+	0.0289538i
$443$	5.90418	+	9.18708i	0.280516	+	0.436491i	0.952709	−	0.303885i	$-0.0982838\pi$
$443$	5.90418	+	9.18708i	0.280516	+	0.436491i	−0.672193	+	0.740376i	$0.734647\pi$
$444$	8.16845	−	6.27987i	0.387658	−	0.298029i
$445$	21.6402	+	24.9741i	1.02584	+	1.18389i
$446$	−1.73471	−	12.0652i	−0.0821410	−	0.571303i
$447$	−3.81176	+	18.6720i	−0.180290	+	0.883154i
$448$	−2.28302	−	1.33709i	−0.107863	−	0.0631717i
$449$	−1.87772	−	6.39493i	−0.0886151	−	0.301795i	0.903245	−	0.429124i	$-0.141178\pi$
$449$	−1.87772	−	6.39493i	−0.0886151	−	0.301795i	−0.991861	+	0.127329i	$0.959360\pi$
$450$	12.2748	−	0.314875i	0.578642	−	0.0148433i
$451$	1.36989	−	0.196960i	0.0645055	−	0.00927449i
$452$	−2.80292	+	2.42875i	−0.131838	+	0.114239i
$453$	−7.75699	+	5.96354i	−0.364455	+	0.280191i
$454$	7.08307	+	11.0215i	0.332425	+	0.517263i
$455$	−30.5575	−	43.4816i	−1.43256	−	2.03845i
$456$	−1.09379	+	3.05152i	−0.0512216	+	0.142901i
$457$	23.3981	−	27.0028i	1.09452	−	1.26314i	0.132194	−	0.991224i	$-0.457798\pi$
$457$	23.3981	−	27.0028i	1.09452	−	1.26314i	0.962321	−	0.271915i	$-0.0876568\pi$
$458$	−7.11268	−	2.08847i	−0.332354	−	0.0975878i
$459$	−0.302037	−	0.372687i	−0.0140979	−	0.0173955i
$460$	13.5262	+	5.11665i	0.630662	+	0.238565i
$461$	−28.3233			−1.31915			−0.659573	−	0.751640i	$-0.729263\pi$
$461$	−28.3233			−1.31915			−0.659573	+	0.751640i	$0.729263\pi$
$462$	7.15630	−	5.98870i	0.332941	−	0.278620i
$463$	−12.8947	+	14.8813i	−0.599269	+	0.691593i	−0.971633	−	0.236494i	$-0.924002\pi$
$463$	−12.8947	+	14.8813i	−0.599269	+	0.691593i	0.372364	+	0.928087i	$0.378547\pi$
$464$	−3.53731	+	5.50417i	−0.164216	+	0.255524i
$465$	3.53071	+	41.8218i	0.163733	+	1.93944i
$466$	−25.2812	+	16.2472i	−1.17113	+	0.752639i
$467$	−5.67775	−	12.4325i	−0.262735	−	0.575309i	0.731584	−	0.681751i	$-0.238781\pi$
$467$	−5.67775	−	12.4325i	−0.262735	−	0.575309i	−0.994319	+	0.106442i	$0.966054\pi$
$468$	7.83279	−	18.3850i	0.362071	−	0.849848i
$469$	0.825945	−	1.03694i	0.0381386	−	0.0478817i
$470$	−6.18684	−	2.82543i	−0.285377	−	0.130328i
$471$	−2.07309	+	1.16675i	−0.0955230	+	0.0537609i
$472$	−1.81243	−	6.17257i	−0.0834238	−	0.284115i
$473$	10.9451	+	4.99844i	0.503254	+	0.229829i
$474$	2.46041	+	6.34684i	0.113010	+	0.291520i
$475$	−5.78920	+	5.01637i	−0.265627	+	0.230167i
$476$	−0.0921887	+	0.226191i	−0.00422546	+	0.0103675i
$477$	−25.4606	−	15.4546i	−1.16576	−	0.707618i
$478$	2.16719	−	15.0731i	0.0991249	−	0.689429i
$479$	17.2032	+	11.0558i	0.786035	+	0.505154i	0.871032	−	0.491227i	$-0.163451\pi$
$479$	17.2032	+	11.0558i	0.786035	+	0.505154i	−0.0849962	+	0.996381i	$0.527088\pi$
$480$	2.44409	−	4.61577i	0.111557	−	0.210680i
$481$	11.1640	−	38.0211i	0.509034	−	1.73361i
$482$	14.1410			0.644104
$483$	19.0544	+	10.9512i	0.867007	+	0.498296i
$484$	−6.85346			−0.311521
$485$	15.3013	−	52.1116i	0.694798	−	2.36627i
$486$	6.37223	+	14.2266i	0.289050	+	0.645329i
$487$	−20.6186	−	13.2508i	−0.934319	−	0.600451i	−0.0175406	−	0.999846i	$-0.505584\pi$
$487$	−20.6186	−	13.2508i	−0.934319	−	0.600451i	−0.916779	+	0.399396i	$0.869220\pi$
$488$	−1.07535	+	7.47921i	−0.0486787	+	0.338568i
$489$	4.38512	+	4.27408i	0.198302	+	0.193280i
$490$	−7.60091	−	19.6922i	−0.343374	−	0.889601i
$491$	22.2555	−	19.2845i	1.00438	−	0.870297i	0.0128123	−	0.999918i	$-0.495922\pi$
$491$	22.2555	−	19.2845i	1.00438	−	0.870297i	0.991564	+	0.129621i	$0.0413761\pi$
$492$	1.09760	−	0.425495i	0.0494837	−	0.0191828i
$493$	0.549449	+	0.250925i	0.0247459	+	0.0113011i
$494$	3.51238	+	11.9621i	0.158030	+	0.538199i
$495$	12.4163	+	13.6078i	0.558072	+	0.611627i
$496$	7.30967	+	3.33821i	0.328214	+	0.149890i
$497$	26.5906	+	21.1799i	1.19275	+	0.950048i
$498$	−8.91085	−	6.49397i	−0.399305	−	0.291002i
$499$	3.39614	+	7.43651i	0.152032	+	0.332904i	0.970289	−	0.241949i	$-0.0777866\pi$
$499$	3.39614	+	7.43651i	0.152032	+	0.332904i	−0.818257	+	0.574853i	$0.805059\pi$
$500$	−2.30094	+	1.47872i	−0.102901	+	0.0661306i
$501$	−12.3643	+	1.04383i	−0.552396	+	0.0466348i
$502$	5.23660	−	8.14831i	0.233721	−	0.363677i
$503$	1.82709	−	2.10858i	0.0814661	−	0.0940169i	−0.713553	−	0.700601i	$-0.752915\pi$
$503$	1.82709	−	2.10858i	0.0814661	−	0.0940169i	0.795019	+	0.606584i	$0.207461\pi$
$504$	4.78434	−	6.33326i	0.213111	−	0.282106i
$505$	−53.7093			−2.39003
$506$	3.37028	+	9.16578i	0.149827	+	0.407469i
$507$	−12.2308	−	52.9462i	−0.543191	−	2.35143i
$508$	4.28984	+	1.25961i	0.190331	+	0.0558862i
$509$	10.7480	−	12.4039i	0.476398	−	0.549792i	−0.465782	−	0.884899i	$-0.654227\pi$
$509$	10.7480	−	12.4039i	0.476398	−	0.549792i	0.942180	+	0.335107i	$0.108772\pi$
$510$	−0.453903	−	0.162698i	−0.0200992	−	0.00720439i
$511$	4.68229	+	6.66261i	0.207132	+	0.294737i
$512$	−0.540641	−	0.841254i	−0.0238932	−	0.0371785i
$513$	−8.70826	−	4.32892i	−0.384479	−	0.191127i
$514$	−18.7430	+	16.2409i	−0.826717	+	0.716354i
$515$	−46.5481	+	6.69261i	−2.05115	+	0.294912i
$516$	10.0278	+	2.04710i	0.441448	+	0.0901186i
$517$	−1.29399	−	4.40691i	−0.0569095	−	0.193816i
$518$	7.95393	−	13.5810i	0.349476	−	0.596713i
$519$	32.9940	+	6.73551i	1.44828	+	0.295656i
$520$	−2.85868	−	19.8825i	−0.125361	−	0.871907i
$521$	19.9836	+	23.0623i	0.875496	+	1.01038i	0.999836	+	0.0181365i	$0.00577334\pi$
$521$	19.9836	+	23.0623i	0.875496	+	1.01038i	−0.124340	+	0.992240i	$0.539681\pi$
$522$	−15.1589	−	12.4693i	−0.663488	−	0.545765i
$523$	2.23953	+	3.48478i	0.0979278	+	0.152379i	0.886760	−	0.462230i	$-0.152950\pi$
$523$	2.23953	+	3.48478i	0.0979278	+	0.152379i	−0.788832	+	0.614608i	$0.789314\pi$
$524$	0.188768	−	1.31291i	0.00824638	−	0.0573549i
$525$	17.1928	−	7.49719i	0.750354	−	0.327204i
$526$	−16.0600	+	18.5343i	−0.700250	+	0.808132i
$527$	0.209009	−	0.711821i	0.00910460	−	0.0310074i
$528$	3.43648	−	0.793845i	0.149554	−	0.0345477i
$529$	−17.5213	+	14.8998i	−0.761796	+	0.647817i
$530$	−29.9374			−1.30040
$531$	19.0263	−	3.23557i	0.825672	−	0.140412i
$532$	0.204862	+	4.94743i	0.00888190	+	0.214498i
$533$	2.44769	−	3.80868i	0.106021	−	0.164972i
$534$	1.59675	+	18.9138i	0.0690983	+	0.818480i
$535$	−2.04644	−	3.18433i	−0.0884754	−	0.137670i
$536$	0.455782	−	0.208149i	0.0196868	−	0.00899065i
$537$	9.11255	+	6.64096i	0.393235	+	0.286578i
$538$	3.29640	−	0.473950i	0.142118	−	0.0204334i
$539$	6.68861	−	12.5874i	0.288099	−	0.542178i
$540$	12.8953	+	8.90057i	0.554927	+	0.383019i
$541$	13.0391	−	3.82863i	0.560595	−	0.164606i	0.0108548	−	0.999941i	$-0.496545\pi$
$541$	13.0391	−	3.82863i	0.560595	−	0.164606i	0.549741	+	0.835335i	$0.314727\pi$
$542$	−0.329024	+	0.720461i	−0.0141328	+	0.0309465i
$543$	3.51675	+	9.07177i	0.150918	+	0.389307i
$544$	−0.0697710	+	0.0604569i	−0.00299141	+	0.00259207i
$545$	−1.04922	−	2.29748i	−0.0449439	−	0.0984133i
$546$	0.524794	−	30.5216i	0.0224591	−	1.30620i
$547$	4.38310	−	30.4851i	0.187408	−	1.30345i	−0.651281	−	0.758837i	$-0.725768\pi$
$547$	4.38310	−	30.4851i	0.187408	−	1.30345i	0.838688	−	0.544612i	$-0.183323\pi$
$548$	1.63738	−	2.54782i	0.0699455	−	0.108837i
$549$	−21.9067	−	5.82656i	−0.934957	−	0.248672i
$550$	7.99691	+	2.34810i	0.340989	+	0.100124i
$551$	12.2452			0.521665
$552$	4.54792	+	6.95100i	0.193572	+	0.295854i
$553$	7.12849	+	7.56980i	0.303134	+	0.321901i
$554$	3.01467	−	10.2670i	0.128081	−	0.436204i
$555$	27.4577	+	14.5391i	1.16551	+	0.617151i
$556$	2.53118	−	3.93860i	0.107346	−	0.167034i
$557$	8.77199	+	1.26122i	0.371681	+	0.0534397i	0.325625	−	0.945499i	$-0.394425\pi$
$557$	8.77199	+	1.26122i	0.371681	+	0.0534397i	0.0460565	+	0.998939i	$0.485335\pi$
$558$	−12.5092	+	20.6081i	−0.529556	+	0.872411i
$559$	35.8045	−	16.3514i	1.51437	−	0.691589i
$560$	0.807721	−	7.93715i	0.0341324	−	0.335406i
$561$	−0.117692	−	0.303598i	−0.00496898	−	0.0128179i
$562$	−5.88545	+	12.8873i	−0.248263	+	0.543619i
$563$	36.8574	−	10.8223i	1.55335	−	0.456106i	0.611253	−	0.791436i	$-0.290666\pi$
$563$	36.8574	−	10.8223i	1.55335	−	0.456106i	0.942101	+	0.335330i	$0.108848\pi$
$564$	−1.91610	−	3.40454i	−0.0806823	−	0.143357i
$565$	−10.1731	−	4.64588i	−0.427984	−	0.195454i
$566$	−2.20956	−	15.3678i	−0.0928745	−	0.645957i
$567$	17.1919	+	16.4754i	0.721991	+	0.691903i
$568$	5.33760	+	11.6877i	0.223961	+	0.490406i
$569$	1.09175	+	1.69880i	0.0457686	+	0.0712174i	0.863384	−	0.504548i	$-0.168341\pi$
$569$	1.09175	+	1.69880i	0.0457686	+	0.0712174i	−0.817615	+	0.575765i	$0.804704\pi$
$570$	−9.74033	+	0.822306i	−0.407978	+	0.0344426i
$571$	−29.5766	−	19.0078i	−1.23774	−	0.795450i	−0.252665	−	0.967554i	$-0.581307\pi$
$571$	−29.5766	−	19.0078i	−1.23774	−	0.795450i	−0.985079	+	0.172104i	$0.944943\pi$
$572$	8.88288	−	10.2514i	0.371412	−	0.428632i
$573$	28.6335	+	1.67917i	1.19618	+	0.0701484i
$574$	1.30910	−	1.23278i	0.0546406	−	0.0514551i
$575$	1.30944	+	19.5854i	0.0546074	+	0.816769i
$576$	2.69604	−	1.31581i	0.112335	−	0.0548256i
$577$	−13.4146	+	45.6859i	−0.558457	+	1.90193i	−0.151587	+	0.988444i	$0.548438\pi$
$577$	−13.4146	+	45.6859i	−0.558457	+	1.90193i	−0.406870	+	0.913486i	$0.633380\pi$
$578$	−12.8413	−	11.1271i	−0.534128	−	0.462824i
$579$	15.4887	−	43.2113i	0.643690	−	1.79580i
$580$	−19.5287	−	2.80781i	−0.810887	−	0.116588i
$581$	−16.3429	−	4.07247i	−0.678017	−	0.168954i
$582$	24.7320	−	19.0138i	1.02517	−	0.788149i
$583$	−13.2389	−	15.2785i	−0.548301	−	0.632773i
$584$	0.438031	+	3.04657i	0.0181258	+	0.126068i
$585$	60.2411	−	1.54531i	2.49066	−	0.0638906i
$586$	−0.633170	−	2.15638i	−0.0261560	−	0.0890792i
$587$	−16.9523	+	4.97764i	−0.699695	+	0.205449i	−0.612185	−	0.790715i	$-0.709709\pi$
$587$	−16.9523	+	4.97764i	−0.699695	+	0.205449i	−0.0875102	+	0.996164i	$0.527891\pi$
$588$	3.13343	−	11.7125i	0.129220	−	0.483014i
$589$	−2.14035	−	14.8865i	−0.0881916	−	0.613386i
$590$	14.6607	−	12.7036i	0.603571	−	0.522998i
$591$	−9.32578	−	12.1304i	−0.383611	−	0.498978i
$592$	5.00435	−	3.21610i	0.205677	−	0.132181i
$593$	4.11101	−	28.5927i	0.168819	−	1.17416i	−0.712511	−	0.701661i	$-0.752442\pi$
$593$	4.11101	−	28.5927i	0.168819	−	1.17416i	0.881330	−	0.472501i	$-0.156649\pi$
$594$	1.16019	+	10.5171i	0.0476030	+	0.431524i
$595$	−0.735913	+	0.0304725i	−0.0301695	+	0.00124925i
$596$	−3.09979	+	10.5569i	−0.126972	+	0.432428i
$597$	6.49302	−	1.49992i	0.265742	−	0.0613877i
$598$	29.8803	+	11.3030i	1.22190	+	0.462215i
$599$			47.6851i			1.94836i	0.225768	+	0.974181i	$0.427511\pi$
$599$			47.6851i			1.94836i	−0.225768	+	0.974181i	$0.572489\pi$
$600$	7.07706	+	0.415025i	0.288920	+	0.0169433i
$601$	−6.22952	−	5.39791i	−0.254107	−	0.220185i	0.518487	−	0.855086i	$-0.326496\pi$
$601$	−6.22952	−	5.39791i	−0.254107	−	0.220185i	−0.772594	+	0.634900i	$0.781041\pi$
$602$	15.3692	−	2.86320i	0.626400	−	0.116695i
$603$	0.460343	+	1.43096i	0.0187466	+	0.0582732i
$604$	−4.75227	+	3.05410i	−0.193367	+	0.124269i
$605$	−8.58509	−	18.7987i	−0.349034	−	0.764277i
$606$	−24.9319	−	18.1696i	−1.01279	−	0.738090i
$607$	0.768809	−	0.110538i	0.0312050	−	0.00448660i	−0.126695	−	0.991942i	$-0.540437\pi$
$607$	0.768809	−	0.110538i	0.0312050	−	0.00448660i	0.157900	+	0.987455i	$0.449528\pi$
$608$	−0.777472	+	1.70243i	−0.0315307	+	0.0690425i
$609$	−28.6190	−	8.94050i	−1.15970	−	0.362287i
$610$	−21.8622	+	6.41931i	−0.885173	+	0.259910i
$611$	−13.6671	−	6.24158i	−0.552914	−	0.252507i
$612$	−0.155662	−	0.229078i	−0.00629226	−	0.00925992i
$613$	26.4799	+	30.5594i	1.06951	+	1.23428i	0.970983	+	0.239149i	$0.0768684\pi$
$613$	26.4799	+	30.5594i	1.06951	+	1.23428i	0.0985295	+	0.995134i	$0.468586\pi$
$614$	10.1295	+	22.1805i	0.408793	+	0.895132i
$615$	2.54204	+	2.47767i	0.102505	+	0.0999091i
$616$	4.40791	−	3.09775i	0.177600	−	0.124812i
$617$	−19.3778	+	30.1524i	−0.780120	+	1.21389i	0.192456	+	0.981306i	$0.438355\pi$
$617$	−19.3778	+	30.1524i	−0.780120	+	1.21389i	−0.972576	+	0.232585i	$0.925282\pi$
$618$	−23.8717	−	12.6403i	−0.960261	−	0.508468i
$619$	−4.35020	+	14.8154i	−0.174849	+	0.595483i	0.824703	+	0.565566i	$0.191342\pi$
$619$	−4.35020	+	14.8154i	−0.174849	+	0.595483i	−0.999552	+	0.0299164i	$0.990476\pi$
$620$			24.2317i			0.973170i
$621$	−22.3048	+	11.1128i	−0.895061	+	0.445943i
$622$			16.3448i			0.655366i
$623$	13.1254	+	25.8530i	0.525858	+	1.03578i
$624$	5.39917	−	10.1965i	0.216140	−	0.408189i
$625$	−24.1545	−	15.5231i	−0.966179	−	0.620925i
$626$	2.58082	−	17.9500i	0.103150	−	0.717426i
$627$	−4.72704	−	4.60734i	−0.188780	−	0.183999i
$628$	−1.24932	+	0.570547i	−0.0498535	+	0.0227673i
$629$	−0.359639	−	0.415045i	−0.0143397	−	0.0165489i
$630$	23.3650	+	5.18976i	0.930884	+	0.206765i
$631$	−0.451478	+	0.988600i	−0.0179731	+	0.0393555i	−0.918406	−	0.395640i	$-0.870523\pi$
$631$	−0.451478	+	0.988600i	−0.0179731	+	0.0393555i	0.900433	+	0.434996i	$0.143250\pi$
$632$	1.10722	+	3.77086i	0.0440430	+	0.149997i
$633$	−17.2329	−	30.6195i	−0.684945	−	1.21702i
$634$	−12.4105	+	27.1752i	−0.492885	+	1.07927i
$635$	1.91868	+	13.3447i	0.0761404	+	0.529568i
$636$	−13.8969	−	10.1277i	−0.551050	−	0.401589i
$637$	−16.7909	−	43.5014i	−0.665281	−	1.72359i
$638$	−7.20305	−	11.2082i	−0.285171	−	0.443735i
$639$	−36.6945	+	11.8047i	−1.45161	+	0.466985i
$640$	1.63028	−	2.53676i	0.0644424	−	0.100274i
$641$	−33.3050	−	28.8589i	−1.31547	−	1.13986i	−0.980260	−	0.197714i	$-0.936648\pi$
$641$	−33.3050	−	28.8589i	−1.31547	−	1.13986i	−0.335207	−	0.942144i	$-0.608806\pi$
$642$	0.127284	−	2.17047i	0.00502351	−	0.0856615i
$643$			34.3050i			1.35286i	0.736507	+	0.676429i	$0.236474\pi$
$643$			34.3050i			1.35286i	−0.736507	+	0.676429i	$0.763526\pi$
$644$	10.4302	+	7.22571i	0.411008	+	0.284733i
$645$	6.94633	+	30.0700i	0.273511	+	1.18401i
$646$	0.165784	+	0.0486785i	0.00652267	+	0.00191523i
$647$	−9.00962	+	10.3977i	−0.354205	+	0.408774i	−0.904690	−	0.426071i	$-0.859897\pi$
$647$	−9.00962	+	10.3977i	−0.354205	+	0.408774i	0.550485	+	0.834845i	$0.314443\pi$
$648$	2.97500	+	8.49408i	0.116869	+	0.333679i
$649$	12.9665	+	1.86430i	0.508981	+	0.0731804i
$650$	22.9365	−	14.7404i	0.899642	−	0.578165i
$651$	−5.86659	+	36.3546i	−0.229930	+	1.42485i
$652$	2.31519	+	2.67187i	0.0906698	+	0.104639i
$653$	41.3865	−	5.95049i	1.61958	−	0.232861i	0.727952	−	0.685628i	$-0.240472\pi$
$653$	41.3865	−	5.95049i	1.61958	−	0.232861i	0.891629	+	0.452767i	$0.149563\pi$
$654$	0.290177	−	1.42144i	0.0113468	−	0.0555827i
$655$	3.83772	−	1.12686i	0.149952	−	0.0440299i
$656$	0.652120	−	0.191480i	0.0254610	−	0.00747602i
$657$	−9.23066	+	0.236785i	−0.360122	+	0.00923787i
$658$	−4.66782	−	3.71801i	−0.181971	−	0.144943i
$659$	−32.5302	+	28.1876i	−1.26720	+	1.09803i	−0.276635	+	0.960975i	$0.589219\pi$
$659$	−32.5302	+	28.1876i	−1.26720	+	1.09803i	−0.990563	+	0.137059i	$0.956235\pi$
$660$	6.48224	+	8.43169i	0.252321	+	0.328203i
$661$	1.34293	+	2.08963i	0.0522338	+	0.0812774i	0.866388	−	0.499371i	$-0.166436\pi$
$661$	1.34293	+	2.08963i	0.0522338	+	0.0812774i	−0.814154	+	0.580648i	$0.802799\pi$
$662$	2.86838	+	0.412411i	0.111483	+	0.0160288i
$663$	−1.00270	−	0.359411i	−0.0389418	−	0.0139584i
$664$	−4.81104	−	4.16879i	−0.186705	−	0.161781i
$665$	−13.3139	+	6.75940i	−0.516293	+	0.262118i
$666$	7.82735	+	16.0379i	0.303304	+	0.621455i
$667$	18.9207	−	25.0320i	0.732611	−	0.969244i
$668$	−7.16393			−0.277181
$669$	21.0762	+	1.23599i	0.814853	+	0.0477860i
$670$	1.14188	+	0.989448i	0.0441148	+	0.0382257i
$671$	−12.9440	−	8.31860i	−0.499697	−	0.321136i
$672$	3.06004	−	3.41118i	0.118044	−	0.131589i
$673$	11.8947	−	7.64429i	0.458509	−	0.294666i	−0.290924	−	0.956746i	$-0.593963\pi$
$673$	11.8947	−	7.64429i	0.458509	−	0.294666i	0.749433	+	0.662080i	$0.230326\pi$
$674$	5.61533	−	2.56444i	0.216294	−	0.0987784i
$675$	−3.71816	+	20.9401i	−0.143112	+	0.805985i
$676$	−4.46492	−	31.0542i	−0.171728	−	1.19439i
$677$	2.29703	−	5.02979i	0.0882820	−	0.193311i	−0.860341	−	0.509718i	$-0.829750\pi$
$677$	2.29703	−	5.02979i	0.0882820	−	0.193311i	0.948623	+	0.316408i	$0.102477\pi$
$678$	−3.15066	−	5.59812i	−0.121000	−	0.214995i
$679$	24.0825	−	41.1197i	0.924201	−	1.57803i
$680$	−0.253230	−	0.115646i	−0.00971093	−	0.00443483i
$681$	−21.1578	+	8.20202i	−0.810770	+	0.314302i
$682$	−12.3667	+	10.7158i	−0.473544	+	0.410328i
$683$	−27.8119	+	12.7013i	−1.06419	+	0.486000i	−0.869024	−	0.494769i	$-0.835252\pi$
$683$	−27.8119	+	12.7013i	−1.06419	+	0.486000i	−0.195168	+	0.980770i	$0.562525\pi$
$684$	−4.79965	−	2.91340i	−0.183519	−	0.111396i
$685$	9.03964	+	1.29970i	0.345387	+	0.0496591i
$686$	−2.29343	−	18.3777i	−0.0875637	−	0.701664i
$687$	6.00836	−	11.3470i	0.229233	−	0.432916i
$688$	5.66959	+	1.66474i	0.216151	+	0.0634677i
$689$	−66.1338			−2.51950
$690$	−13.3692	+	21.1820i	−0.508958	+	0.806385i
$691$		−	25.9307i		−	0.986452i	−0.869901	−	0.493226i	$-0.835818\pi$
$691$		−	25.9307i		−	0.986452i	0.869901	−	0.493226i	$-0.164182\pi$
$692$	18.6544	+	5.47744i	0.709136	+	0.208221i
$693$	7.68389	+	14.2193i	0.291887	+	0.540148i
$694$	28.0750	+	18.0427i	1.06571	+	0.684891i
$695$	13.9741	+	2.00918i	0.530069	+	0.0762124i
$696$	−8.11537	−	7.90987i	−0.307612	−	0.299823i
$697$	−0.0260654	−	0.0570753i	−0.000987298	−	0.00216188i
$698$	−23.4778	−	27.0948i	−0.888648	−	1.02555i
$699$	−18.8139	−	48.5322i	−0.711608	−	1.83566i
$700$	10.2552	−	3.47813i	0.387610	−	0.131461i
$701$	−4.11521	−	14.0151i	−0.155429	−	0.529344i	0.844552	−	0.535474i	$-0.179867\pi$
$701$	−4.11521	−	14.0151i	−0.155429	−	0.529344i	−0.999981	+	0.00613008i	$0.998049\pi$
$702$	28.4867	+	19.6620i	1.07516	+	0.742093i
$703$	−10.1272	−	4.62493i	−0.381954	−	0.174433i
$704$	2.01558	−	0.289796i	0.0759649	−	0.0109221i
$705$	6.93828	−	9.52052i	0.261311	−	0.358564i
$706$	18.6463	−	8.51547i	0.701762	−	0.320484i
$707$	−45.7261	−	11.3944i	−1.71971	−	0.428532i
$708$	11.1031	−	0.937351i	0.417278	−	0.0352278i
$709$	21.5080	+	13.8223i	0.807749	+	0.519109i	0.878136	−	0.478411i	$-0.158787\pi$
$709$	21.5080	+	13.8223i	0.807749	+	0.519109i	−0.0703872	+	0.997520i	$0.522423\pi$
$710$	−25.3726	+	29.2816i	−0.952218	+	1.09892i
$711$	−11.6233	+	1.97663i	−0.435907	+	0.0741293i
$712$			10.9587i			0.410696i
$713$	−33.7384	−	18.6264i	−1.26351	−	0.697563i
$714$	−0.351920	−	0.234811i	−0.0131703	−	0.00878757i
$715$	39.2463	+	11.5238i	1.46773	+	0.430964i
$716$	4.91994	+	4.26315i	0.183867	+	0.159321i
$717$	24.8290	+	8.89978i	0.927258	+	0.332368i
$718$	3.90141	−	27.1349i	0.145599	−	1.01267i
$719$	4.10013	−	2.63499i	0.152909	−	0.0982687i	−0.461949	−	0.886907i	$-0.652850\pi$
$719$	4.10013	−	2.63499i	0.152909	−	0.0982687i	0.614858	+	0.788638i	$0.289213\pi$
$720$	6.98645	+	5.74684i	0.260370	+	0.214172i
$721$	−41.0492	−	4.17735i	−1.52875	−	0.155573i
$722$	−15.3395	+	2.20549i	−0.570879	+	0.0820799i
$723$	−4.89902	+	23.9979i	−0.182197	+	0.892493i
$724$	1.58260	+	5.38983i	0.0588167	+	0.200311i
$725$	−7.54465	−	25.6947i	−0.280201	−	0.954278i
$726$	2.37432	−	11.6307i	0.0881194	−	0.431655i
$727$	20.8517	−	2.99802i	0.773346	−	0.111190i	0.255666	−	0.966765i	$-0.417705\pi$
$727$	20.8517	−	2.99802i	0.773346	−	0.111190i	0.517679	+	0.855575i	$0.326796\pi$
$728$	1.78431	−	17.5337i	0.0661310	−	0.649843i
$729$	−26.3508	+	5.88532i	−0.975954	+	0.217975i
$730$	−7.80789	+	5.01783i	−0.288983	+	0.185718i
$731$	0.0776349	−	0.539962i	0.00287143	−	0.0199712i
$732$	−12.3200	−	4.41602i	−0.455362	−	0.163221i
$733$	15.2195	+	13.1878i	0.562147	+	0.487103i	0.888959	−	0.457986i	$-0.151429\pi$
$733$	15.2195	+	13.1878i	0.562147	+	0.487103i	−0.326813	+	0.945089i	$0.605975\pi$
$734$	4.29153	+	1.26011i	0.158403	+	0.0465114i
$735$	36.0519	−	6.07694i	1.32979	−	0.224151i
$736$	2.27884	+	4.21982i	0.0839990	+	0.155545i
$737$			1.02031i			0.0375838i
$738$	0.341831	+	2.01009i	0.0125830	+	0.0739925i
$739$	5.62211	−	6.48827i	0.206813	−	0.238675i	−0.642862	−	0.765982i	$-0.722253\pi$
$739$	5.62211	−	6.48827i	0.206813	−	0.238675i	0.849674	+	0.527308i	$0.176798\pi$
$740$	15.0904	+	9.69800i	0.554733	+	0.356505i
$741$	−21.5171	+	1.81653i	−0.790450	+	0.0667319i
$742$	−25.4876	−	6.35123i	−0.935679	−	0.233161i
$743$	21.4462	−	9.79417i	0.786786	−	0.359313i	0.0188357	−	0.999823i	$-0.494004\pi$
$743$	21.4462	−	9.79417i	0.786786	−	0.359313i	0.767950	+	0.640509i	$0.221277\pi$
$744$	−8.19749	+	11.2484i	−0.300534	+	0.412385i
$745$	−32.8401	+	4.72170i	−1.20317	+	0.172990i
$746$	18.6880	+	8.53451i	0.684215	+	0.312471i
$747$	14.1077	−	12.8724i	0.516173	−	0.470976i
$748$	−0.0529635	−	0.180377i	−0.00193654	−	0.00659524i
$749$	−1.06671	−	3.14517i	−0.0389767	−	0.114922i
$750$	−1.71233	−	4.41710i	−0.0625254	−	0.161290i
$751$	11.1086	+	12.8200i	0.405359	+	0.467809i	0.921321	−	0.388802i	$-0.127111\pi$
$751$	11.1086	+	12.8200i	0.405359	+	0.467809i	−0.515962	+	0.856611i	$0.672566\pi$
$752$	−0.936984	−	2.05171i	−0.0341683	−	0.0748181i
$753$	12.0139	+	11.7097i	0.437811	+	0.426724i
$754$	−43.1403	−	6.20264i	−1.57108	−	0.225887i
$755$	−14.3302	−	9.20949i	−0.521531	−	0.335168i
$756$	9.09036	+	10.3134i	0.330613	+	0.375093i
$757$	13.1015	+	3.84695i	0.476182	+	0.139820i	0.511012	−	0.859574i	$-0.329271\pi$
$757$	13.1015	+	3.84695i	0.476182	+	0.139820i	−0.0348300	+	0.999393i	$0.511089\pi$
$758$		−	36.9901i		−	1.34354i
$759$	−16.7224	+	2.54413i	−0.606984	+	0.0923462i
$760$	−5.64359			−0.204714
$761$	13.2009	+	3.87614i	0.478533	+	0.140510i	0.512099	−	0.858927i	$-0.328868\pi$
$761$	13.2009	+	3.87614i	0.478533	+	0.140510i	−0.0335660	+	0.999437i	$0.510686\pi$
$762$	−3.62380	+	6.84369i	−0.131276	+	0.247921i
$763$	−0.405860	−	2.17858i	−0.0146931	−	0.0788700i
$764$	16.3914	+	2.35672i	0.593019	+	0.0852633i
$765$	0.433358	−	0.713931i	0.0156681	−	0.0258122i
$766$	−20.5640	+	9.39127i	−0.743008	+	0.339320i
$767$	32.3865	−	28.0631i	1.16941	−	1.01330i
$768$	1.61495	−	0.626049i	0.0582745	−	0.0225906i
$769$	−32.3710	−	14.7834i	−1.16733	−	0.533102i	−0.265042	−	0.964237i	$-0.585386\pi$
$769$	−32.3710	−	14.7834i	−1.16733	−	0.533102i	−0.902287	+	0.431135i	$0.858113\pi$
$770$	14.0186	+	8.21026i	0.505196	+	0.295877i
$771$	−21.0682	−	37.4343i	−0.758754	−	1.34816i
$772$	11.0095	−	24.1073i	0.396239	−	0.867642i
$773$	6.82983	+	47.5025i	0.245652	+	1.70855i	0.622789	+	0.782390i	$0.286000\pi$
$773$	6.82983	+	47.5025i	0.245652	+	1.70855i	−0.377137	+	0.926157i	$0.623091\pi$
$774$	−6.94807	+	16.3084i	−0.249743	+	0.586194i
$775$	−29.9182	+	13.6632i	−1.07469	+	0.490796i
$776$	15.1519	−	9.73753i	0.543921	−	0.349557i
$777$	20.2920	+	18.2032i	0.727971	+	0.653037i
$778$	29.5808	+	19.0104i	1.06052	+	0.681557i
$779$	−0.961316	−	0.832985i	−0.0344427	−	0.0298448i
$780$	34.7320	+	2.03681i	1.24361	+	0.0729296i
$781$	−26.1641			−0.936227
$782$	0.355669	−	0.263684i	0.0127187	−	0.00942931i
$783$	26.4127	−	21.4056i	0.943911	−	0.764973i
$784$	2.37153	−	6.58603i	0.0846975	−	0.235215i
$785$	−3.12997	−	2.71213i	−0.111713	−	0.0968002i
$786$	2.16268	+	0.775197i	0.0771403	+	0.0276503i
$787$	15.1295	+	2.17530i	0.539309	+	0.0775409i	0.406586	−	0.913612i	$-0.366719\pi$
$787$	15.1295	+	2.17530i	0.539309	+	0.0775409i	0.132722	+	0.991153i	$0.457628\pi$
$788$	−4.77600	−	7.43160i	−0.170138	−	0.264740i
$789$	−25.8897	−	33.6757i	−0.921698	−	1.19889i
$790$	−8.95631	+	7.76069i	−0.318651	+	0.276113i
$791$	−7.67535	−	6.11355i	−0.272904	−	0.217373i
$792$	0.156654	+	6.10690i	0.00556647	+	0.216999i
$793$	−48.2950	+	14.1807i	−1.71501	+	0.503572i
$794$	−10.3345	+	3.03449i	−0.366759	+	0.107690i
$795$	10.3716	−	50.8053i	0.367841	−	1.80188i
$796$	3.80831	−	0.547552i	0.134982	−	0.0194075i
$797$	−31.7128	−	36.5986i	−1.12333	−	1.29639i	−0.950253	−	0.311478i	$-0.899176\pi$
$797$	−31.7128	−	36.5986i	−1.12333	−	1.29639i	−0.173073	−	0.984909i	$-0.555370\pi$
$798$	−8.46701	−	1.36633i	−0.299729	−	0.0483677i
$799$	−0.175176	+	0.112579i	−0.00619727	+	0.00398275i
$800$	4.05130	+	0.582489i	0.143235	+	0.0205941i
$801$	−32.6508	−	3.84275i	−1.15366	−	0.135777i
$802$	−12.5885	+	14.5279i	−0.444516	+	0.512999i
$803$	−6.01366	−	1.76577i	−0.212217	−	0.0623126i
$804$	0.195337	+	0.845596i	0.00688900	+	0.0298219i
$805$	−6.75424	+	37.6609i	−0.238056	+	1.32737i
$806$			53.5296i			1.88550i
$807$	−0.337691	+	5.75834i	−0.0118873	+	0.202703i
$808$	−13.4609	−	11.6640i	−0.473554	−	0.410337i
$809$	5.39595	−	8.39626i	0.189711	−	0.295197i	−0.733349	−	0.679853i	$-0.762044\pi$
$809$	5.39595	−	8.39626i	0.189711	−	0.295197i	0.923060	+	0.384656i	$0.125680\pi$
$810$	−19.5722	+	18.8005i	−0.687696	+	0.660583i
$811$	3.33932	+	5.19608i	0.117259	+	0.182459i	0.894922	−	0.446223i	$-0.147231\pi$
$811$	3.33932	+	5.19608i	0.117259	+	0.182459i	−0.777663	+	0.628682i	$0.783595\pi$
$812$	−16.0304	−	6.53349i	−0.562555	−	0.229281i
$813$	−1.10867	−	0.807967i	−0.0388828	−	0.0283366i
$814$	1.72391	+	11.9900i	0.0604229	+	0.420250i
$815$	−4.42866	+	9.69742i	−0.155129	+	0.339686i
$816$	−0.0784268	−	0.139350i	−0.00274549	−	0.00487821i
$817$	−3.11566	−	10.6109i	−0.109003	−	0.371230i
$818$	−14.5021	+	31.7552i	−0.507055	+	1.11029i
$819$	51.6149	+	11.4646i	1.80357	+	0.400604i
$820$	1.34211	+	1.54887i	0.0468684	+	0.0540890i
$821$	−20.2499	+	9.24784i	−0.706728	+	0.322752i	−0.736153	−	0.676815i	$-0.763360\pi$
$821$	−20.2499	+	9.24784i	−0.706728	+	0.322752i	0.0294252	+	0.999567i	$0.490632\pi$
$822$	3.75652	+	3.66139i	0.131024	+	0.127706i
$823$	−4.77893	+	33.2382i	−0.166583	+	1.15861i	0.719300	+	0.694700i	$0.244463\pi$
$823$	−4.77893	+	33.2382i	−0.166583	+	1.15861i	−0.885883	+	0.463909i	$0.846446\pi$
$824$	−13.1196	−	8.43143i	−0.457042	−	0.293723i
$825$	−6.75531	+	12.7577i	−0.235190	+	0.444165i
$826$	15.1766	−	7.70507i	0.528063	−	0.268094i
$827$		−	17.2435i		−	0.599615i	−0.954000	−	0.299807i	$-0.903078\pi$
$827$		−	17.2435i		−	0.599615i	0.954000	−	0.299807i	$-0.0969224\pi$
$828$	−13.3718	+	5.30994i	−0.464702	+	0.184533i
$829$			5.32026i			0.184780i	0.995723	+	0.0923901i	$0.0294507\pi$
$829$			5.32026i			0.184780i	−0.995723	+	0.0923901i	$0.970549\pi$
$830$	5.40818	−	18.4186i	0.187721	−	0.639318i
$831$	16.3792	+	8.67297i	0.568190	+	0.300862i
$832$	3.60140	−	5.60388i	0.124856	−	0.194280i
$833$	−0.632994	−	0.130181i	−0.0219319	−	0.00451050i
$834$	5.80709	+	5.66004i	0.201083	+	0.195991i
$835$	−8.97400	−	19.6503i	−0.310558	−	0.680027i
$836$	−2.49571	−	2.88020i	−0.0863160	−	0.0996139i
$837$	−30.6393	−	28.3682i	−1.05905	−	0.980549i
$838$	−31.1145	−	14.2095i	−1.07483	−	0.490859i
$839$	−35.2786	+	10.3587i	−1.21795	+	0.357623i	−0.826691	−	0.562656i	$-0.809779\pi$
$839$	−35.2786	+	10.3587i	−1.21795	+	0.357623i	−0.391262	+	0.920279i	$0.627961\pi$
$840$	13.1899	+	4.12050i	0.455095	+	0.142171i
$841$	−5.73623	+	12.5606i	−0.197801	+	0.433124i
$842$	25.1537	−	3.61656i	0.866855	−	0.124635i
$843$	−19.8315	−	14.4526i	−0.683032	−	0.497774i
$844$	−8.42698	−	18.4525i	−0.290069	−	0.635162i
$845$	79.5872	−	51.1476i	2.73788	−	1.75953i
$846$	6.44150	−	2.07224i	0.221463	−	0.0712451i
$847$	−3.32087	−	17.8259i	−0.114107	−	0.612504i
$848$	−7.50308	−	6.50145i	−0.257657	−	0.223261i
$849$	26.8454	+	1.57431i	0.921332	+	0.0540303i
$850$		−	0.377863i		−	0.0129606i
$851$	−25.1024	+	13.5561i	−0.860498	+	0.464696i
$852$	−21.6838	+	5.00907i	−0.742875	+	0.171608i
$853$	−7.46250	+	25.4149i	−0.255511	+	0.870191i	0.727416	+	0.686197i	$0.240721\pi$
$853$	−7.46250	+	25.4149i	−0.255511	+	0.870191i	−0.982927	+	0.183995i	$0.941097\pi$
$854$	−19.9745	+	0.827099i	−0.683513	+	0.0283028i
$855$	1.97896	−	16.8147i	0.0676790	−	0.575051i
$856$	0.178644	−	1.24250i	0.00610592	−	0.0424676i
$857$	5.12036	−	3.29065i	0.174908	−	0.112407i	−0.450257	−	0.892899i	$-0.648668\pi$
$857$	5.12036	−	3.29065i	0.174908	−	0.112407i	0.625166	+	0.780492i	$0.285031\pi$
$858$	14.3197	+	18.6262i	0.488867	+	0.635888i
$859$	−31.9902	+	27.7197i	−1.09149	+	0.945783i	−0.998754	−	0.0499073i	$-0.984107\pi$
$859$	−31.9902	+	27.7197i	−1.09149	+	0.945783i	−0.0927382	+	0.995691i	$0.529562\pi$
$860$	2.53579	+	17.6368i	0.0864696	+	0.601409i
$861$	1.63856	+	2.64869i	0.0558419	+	0.0902670i
$862$	−4.70342	+	1.38105i	−0.160199	+	0.0470387i
$863$	6.65788	+	22.6747i	0.226637	+	0.771854i	0.991776	+	0.127989i	$0.0408522\pi$
$863$	6.65788	+	22.6747i	0.226637	+	0.771854i	−0.765139	+	0.643865i	$0.777330\pi$
$864$	1.29898	+	5.03117i	0.0441923	+	0.171164i
$865$	8.34341	+	58.0297i	0.283684	+	1.97307i
$866$	15.3987	+	17.7710i	0.523268	+	0.603884i
$867$	23.3319	−	17.9375i	0.792394	−	0.609188i
$868$	−5.14077	+	20.6300i	−0.174489	+	0.700228i
$869$	−7.92133	−	1.13892i	−0.268713	−	0.0386351i
$870$	11.5306	−	32.1685i	0.390922	−	1.09061i
$871$	2.52250	+	2.18576i	0.0854716	+	0.0740616i
$872$	0.235978	−	0.803666i	0.00799121	−	0.0272156i
$873$	23.6992	+	48.5586i	0.802098	+	1.64346i
$874$	4.33810	−	7.85770i	0.146738	−	0.265791i
$875$	−4.96109	−	5.26823i	−0.167716	−	0.178099i
$876$	−5.32193	−	0.312098i	−0.179811	−	0.0105448i
$877$	−13.8308	+	15.9616i	−0.467034	+	0.538986i	−0.939584	−	0.342318i	$-0.888788\pi$
$877$	−13.8308	+	15.9616i	−0.467034	+	0.538986i	0.472550	+	0.881304i	$0.343334\pi$
$878$	−29.0660	−	18.6796i	−0.980930	−	0.630406i
$879$	3.87884	−	0.327462i	0.130830	−	0.0110450i
$880$	3.31974	+	5.16562i	0.111908	+	0.174133i
$881$	6.39944	+	14.0128i	0.215603	+	0.472104i	0.986272	−	0.165132i	$-0.0528050\pi$
$881$	6.39944	+	14.0128i	0.215603	+	0.472104i	−0.770669	+	0.637236i	$0.780078\pi$
$882$	18.7911	+	9.37526i	0.632728	+	0.315681i
$883$	4.01351	+	27.9146i	0.135065	+	0.939400i	0.938812	+	0.344429i	$0.111927\pi$
$883$	4.01351	+	27.9146i	0.135065	+	0.939400i	−0.803747	+	0.594971i	$0.797164\pi$
$884$	−0.559403	−	0.255471i	−0.0188148	−	0.00859241i
$885$	16.4795	+	29.2810i	0.553953	+	0.984269i
$886$	−10.4783	+	3.07672i	−0.352027	+	0.103364i
$887$	−5.62205	+	12.3106i	−0.188770	+	0.413348i	−0.980227	−	0.197876i	$-0.936596\pi$
$887$	−5.62205	+	12.3106i	−0.188770	+	0.413348i	0.791457	+	0.611225i	$0.209323\pi$
$888$	3.72417	+	9.60682i	0.124975	+	0.322384i
$889$	−1.19759	+	11.7682i	−0.0401659	+	0.394694i
$890$	−30.0593	+	13.7276i	−1.00759	+	0.460150i
$891$	−18.2501	−	1.67468i	−0.611400	−	0.0561040i
$892$	12.0652	+	1.73471i	0.403973	+	0.0580825i
$893$	−2.28224	+	3.55124i	−0.0763723	+	0.118838i
$894$	−16.8417	−	8.91785i	−0.563271	−	0.298258i
$895$	−5.53059	+	18.8355i	−0.184867	+	0.629600i
$896$	1.92613	−	1.81384i	0.0643475	−	0.0605961i
$897$	−29.5336	+	46.7925i	−0.986098	+	1.56236i
$898$	6.66490			0.222411
$899$	50.4474	+	14.8127i	1.68251	+	0.494030i
$900$	−3.15610	+	11.8663i	−0.105203	+	0.395545i
$901$	−0.495527	+	0.771055i	−0.0165084	+	0.0256876i
$902$	−0.196960	+	1.36989i	−0.00655805	+	0.0456123i
$903$	−0.465518	+	27.0742i	−0.0154915	+	0.900972i
$904$	−1.54069	−	3.37364i	−0.0512426	−	0.112206i
$905$	−12.8016	+	11.0926i	−0.425539	+	0.368732i
$906$	−3.53657	−	9.12290i	−0.117495	−	0.303088i
$907$	−3.23396	+	7.08137i	−0.107382	+	0.235133i	−0.955693	−	0.294364i	$-0.904892\pi$
$907$	−3.23396	+	7.08137i	−0.107382	+	0.235133i	0.848312	+	0.529497i	$0.177619\pi$
$908$	−12.5705	+	3.69105i	−0.417168	+	0.122492i
$909$	39.4722	−	36.0159i	1.30921	−	1.19457i
$910$	50.3293	−	17.0696i	1.66840	−	0.565851i
$911$	55.3736	−	7.96153i	1.83461	−	0.263777i	0.863836	−	0.503773i	$-0.168055\pi$
$911$	55.3736	−	7.96153i	1.83461	−	0.263777i	0.970774	+	0.239996i	$0.0771461\pi$
$912$	−2.61975	−	1.90920i	−0.0867487	−	0.0632199i
$913$	11.7915	−	5.38501i	0.390242	−	0.178218i
$914$	19.3170	+	30.0579i	0.638950	+	0.994226i
$915$	−3.31993	−	39.3251i	−0.109754	−	1.30005i
$916$	4.00775	−	6.23617i	0.132420	−	0.206049i
$917$	3.50636	−	0.145190i	0.115790	−	0.00479461i
$918$	0.442684	−	0.184804i	0.0146108	−	0.00609944i
$919$	−18.5725			−0.612651			−0.306326	−	0.951927i	$-0.599100\pi$
$919$	−18.5725			−0.612651			−0.306326	+	0.951927i	$0.599100\pi$
$920$	−8.72016	+	11.5368i	−0.287495	+	0.380356i
$921$	−41.1507	+	9.50601i	−1.35596	+	0.313234i
$922$	7.97959	−	27.1760i	0.262794	−	0.894993i
$923$	−56.0499	+	64.6850i	−1.84491	+	2.12913i
$924$	3.72995	+	8.55364i	0.122706	+	0.281394i
$925$	−3.46504	+	24.0999i	−0.113930	+	0.792400i
$926$	−10.6456	−	16.5649i	−0.349838	−	0.544358i
$927$	29.7214	−	36.1324i	0.976178	−	1.18674i
$928$	−4.28463	−	4.94473i	−0.140650	−	0.162319i
$929$	−1.62582	−	11.3078i	−0.0533415	−	0.370998i	−0.998955	−	0.0457059i	$-0.985446\pi$
$929$	−1.62582	−	11.3078i	−0.0533415	−	0.370998i	0.945613	−	0.325293i	$-0.105463\pi$
$930$	−41.1225	−	8.39488i	−1.34846	−	0.275279i
$931$	−12.7690	+	2.93014i	−0.418487	+	0.0960316i
$932$	−8.46658	−	28.8345i	−0.277332	−	0.944506i
$933$	−27.7379	−	5.66250i	−0.908098	−	0.185382i
$934$	13.5285	−	1.94511i	0.442667	−	0.0636459i
$935$	0.428421	−	0.371229i	0.0140109	−	0.0121405i
$936$	15.4336	+	12.6952i	0.504462	+	0.414955i
$937$	−2.31280	−	3.59878i	−0.0755558	−	0.117567i	0.801419	−	0.598103i	$-0.204079\pi$
$937$	−2.31280	−	3.59878i	−0.0755558	−	0.117567i	−0.876975	+	0.480536i	$0.840442\pi$
$938$	0.762245	+	1.08463i	0.0248882	+	0.0354144i
$939$	29.5679	+	10.5984i	0.964913	+	0.345866i
$940$	4.45402	−	5.14021i	0.145274	−	0.167655i
$941$	−23.8003	−	6.98840i	−0.775868	−	0.227815i	−0.130255	−	0.991480i	$-0.541580\pi$
$941$	−23.8003	−	6.98840i	−0.775868	−	0.227815i	−0.645613	+	0.763665i	$0.723398\pi$
$942$	−0.535430	−	2.31783i	−0.0174452	−	0.0755189i
$943$	−3.18818	+	0.678064i	−0.103821	+	0.0220808i
$944$	6.43316			0.209381
$945$	−16.9019	+	37.8536i	−0.549819	+	1.23138i
$946$	−7.87955	+	9.09348i	−0.256186	+	0.295655i
$947$	−6.39803	+	9.95553i	−0.207908	+	0.323511i	−0.929510	−	0.368797i	$-0.879770\pi$
$947$	−6.39803	+	9.95553i	−0.207908	+	0.323511i	0.721602	+	0.692308i	$0.243406\pi$
$948$	−6.78293	+	0.572633i	−0.220299	+	0.0185983i
$949$	−17.2482	+	11.0847i	−0.559900	+	0.359826i
$950$	−3.18216	−	6.96797i	−0.103243	−	0.226071i
$951$	−41.8182	−	30.4759i	−1.35605	−	0.988249i
$952$	−0.191056	−	0.152180i	−0.00619217	−	0.00493218i
$953$	18.5683	+	8.47985i	0.601485	+	0.274689i	0.692796	−	0.721133i	$-0.256378\pi$
$953$	18.5683	+	8.47985i	0.601485	+	0.274689i	−0.0913110	+	0.995822i	$0.529106\pi$
$954$	22.0017	−	20.0752i	0.712330	−	0.649957i
$955$	14.0685	+	47.9130i	0.455247	+	1.55043i
$956$	13.8520	+	6.32599i	0.448006	+	0.204597i
$957$	21.5162	−	8.34096i	0.695521	−	0.269625i
$958$	−15.4547	+	13.3916i	−0.499319	+	0.432662i
$959$	7.42028	+	3.02428i	0.239613	+	0.0976591i
$960$	3.74021	+	3.64550i	0.120715	+	0.117658i
$961$	4.77821	−	33.2332i	0.154136	−	1.07204i
$962$	33.3357	+	21.4236i	1.07479	+	0.690723i
$963$	3.63929	+	0.967947i	0.117275	+	0.0311917i
$964$	−3.98397	+	13.5682i	−0.128315	+	0.437001i
$965$	79.9164			2.57260
$966$	−15.8758	+	15.1973i	−0.510797	+	0.488965i
$967$	15.8352			0.509226			0.254613	−	0.967043i	$-0.418052\pi$
$967$	15.8352			0.509226			0.254613	+	0.967043i	$0.418052\pi$
$968$	1.93084	−	6.57585i	0.0620597	−	0.211356i
$969$	−0.140044	+	0.264479i	−0.00449886	+	0.00849628i
$970$	45.6898	+	29.3631i	1.46701	+	0.942791i
$971$	−0.569935	+	3.96399i	−0.0182901	+	0.127210i	−0.996921	−	0.0784155i	$-0.975014\pi$
$971$	−0.569935	+	3.96399i	−0.0182901	+	0.127210i	0.978631	+	0.205626i	$0.0659230\pi$
$972$	−15.4455	+	2.10602i	−0.495416	+	0.0675507i
$973$	11.4708	+	4.67515i	0.367737	+	0.149878i
$974$	18.5230	−	16.0503i	0.593515	−	0.514283i
$975$	17.0690	+	44.0310i	0.546646	+	1.41012i
$976$	−6.87329	−	3.13892i	−0.220009	−	0.100475i
$977$	13.1786	+	44.8821i	0.421620	+	1.43591i	0.847339	+	0.531052i	$0.178203\pi$
$977$	13.1786	+	44.8821i	0.421620	+	1.43591i	−0.425719	+	0.904855i	$0.639979\pi$
$978$	−5.33638	+	3.00335i	−0.170639	+	0.0960364i
$979$	−20.2987	−	9.27011i	−0.648750	−	0.296274i
$980$	21.0359	−	1.74509i	0.671968	−	0.0557450i
$981$	2.31172	+	0.984891i	0.0738077	+	0.0314451i
$982$	12.2332	+	26.7870i	0.390378	+	0.854809i
$983$	34.2462	−	22.0087i	1.09228	−	0.701968i	0.134921	−	0.990856i	$-0.456922\pi$
$983$	34.2462	−	22.0087i	1.09228	−	0.701968i	0.957363	+	0.288888i	$0.0932855\pi$
$984$	0.0990292	+	1.17302i	0.00315694	+	0.0373944i
$985$	14.4018	−	22.4096i	0.458880	−	0.714031i
$986$	−0.395558	+	0.456499i	−0.0125971	+	0.0145379i
$987$	7.92677	−	6.63346i	0.252312	−	0.211145i
$988$	−12.4671			−0.396631
$989$	−26.5053	−	10.0263i	−0.842820	−	0.318819i
$990$	−16.5547	+	8.07960i	−0.526143	+	0.256787i
$991$	42.2632	+	12.4096i	1.34253	+	0.394203i	0.872573	−	0.488484i	$-0.162450\pi$
$991$	42.2632	+	12.4096i	1.34253	+	0.394203i	0.469961	+	0.882687i	$0.344268\pi$
$992$	−5.26236	+	6.07309i	−0.167080	+	0.192821i
$993$	−1.69361	+	4.72491i	−0.0537451	+	0.149941i
$994$	−27.8134	+	19.5464i	−0.882188	+	0.619975i
$995$	6.27244	+	9.76011i	0.198850	+	0.309416i
$996$	8.74139	−	6.72034i	0.276982	−	0.212942i
$997$	6.18310	−	5.35769i	0.195821	−	0.169680i	−0.551431	−	0.834220i	$-0.685918\pi$
$997$	6.18310	−	5.35769i	0.195821	−	0.169680i	0.747252	+	0.664541i	$0.231373\pi$
$998$	−8.09208	+	1.16347i	−0.256150	+	0.0368289i
$999$	−29.9288	+	7.72723i	−0.946905	+	0.244479i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.t.a.41.5	✓	640
3.2	odd	2	inner	966.2.t.a.41.43	yes	640
7.6	odd	2	inner	966.2.t.a.41.28	yes	640
21.20	even	2	inner	966.2.t.a.41.54	yes	640
23.9	even	11	inner	966.2.t.a.377.54	yes	640
69.32	odd	22	inner	966.2.t.a.377.28	yes	640
161.55	odd	22	inner	966.2.t.a.377.43	yes	640
483.377	even	22	inner	966.2.t.a.377.5	yes	640

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.t.a.41.5	✓	640	1.1	even	1	trivial
966.2.t.a.41.28	yes	640	7.6	odd	2	inner
966.2.t.a.41.43	yes	640	3.2	odd	2	inner
966.2.t.a.41.54	yes	640	21.20	even	2	inner
966.2.t.a.377.5	yes	640	483.377	even	22	inner
966.2.t.a.377.28	yes	640	69.32	odd	22	inner
966.2.t.a.377.43	yes	640	161.55	odd	22	inner
966.2.t.a.377.54	yes	640	23.9	even	11	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:	\( N \)	\(=\)	\( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	966.t (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.281733 + 0.959493i) q^{2} +(-1.53070 - 0.810522i) q^{3} +(-0.841254 - 0.540641i) q^{4} +(0.429144 - 2.98476i) q^{5} +(1.20894 - 1.24035i) q^{6} +(0.998575 - 2.45007i) q^{7} +(0.755750 - 0.654861i) q^{8} +(1.68611 + 2.48134i) q^{9} +O(q^{10})\)	\(q+(-0.281733 + 0.959493i) q^{2} +(-1.53070 - 0.810522i) q^{3} +(-0.841254 - 0.540641i) q^{4} +(0.429144 - 2.98476i) q^{5} +(1.20894 - 1.24035i) q^{6} +(0.998575 - 2.45007i) q^{7} +(0.755750 - 0.654861i) q^{8} +(1.68611 + 2.48134i) q^{9} +(2.74295 + 1.25266i) q^{10} +(0.573693 + 1.95382i) q^{11} +(0.849508 + 1.50942i) q^{12} +(6.05937 + 2.76722i) q^{13} +(2.06950 + 1.64839i) q^{14} +(-3.07611 + 4.22095i) q^{15} +(0.415415 + 0.909632i) q^{16} +(0.0776647 - 0.0499121i) q^{17} +(-2.85586 + 0.918734i) q^{18} +(1.01184 - 1.57445i) q^{19} +(-1.97470 + 2.27893i) q^{20} +(-3.51436 + 2.94097i) q^{21} -2.03630 q^{22} +(-1.65510 - 4.50118i) q^{23} +(-1.68761 + 0.389846i) q^{24} +(-3.92717 - 1.15312i) q^{25} +(-4.36225 + 5.03431i) q^{26} +(-0.569750 - 5.16482i) q^{27} +(-2.16466 + 1.52126i) q^{28} +(3.53731 + 5.50417i) q^{29} +(-3.18334 - 4.14068i) q^{30} +(6.07309 - 5.26236i) q^{31} +(-0.989821 + 0.142315i) q^{32} +(0.705460 - 3.45571i) q^{33} +(0.0260096 + 0.0885806i) q^{34} +(-6.88434 - 4.03194i) q^{35} +(-0.0769308 - 2.99901i) q^{36} +(-0.846585 - 5.88813i) q^{37} +(1.22561 + 1.41443i) q^{38} +(-7.03221 - 9.14706i) q^{39} +(-1.63028 - 2.53676i) q^{40} +(0.0967243 - 0.672732i) q^{41} +(-1.83173 - 4.20057i) q^{42} +(3.86953 - 4.46568i) q^{43} +(0.573693 - 1.95382i) q^{44} +(8.12979 - 3.96778i) q^{45} +(4.78515 - 0.319925i) q^{46} -2.25554 q^{47} +(0.101400 - 1.72908i) q^{48} +(-5.00570 - 4.89316i) q^{49} +(2.21282 - 3.44322i) q^{50} +(-0.159337 + 0.0134516i) q^{51} +(-3.60140 - 5.60388i) q^{52} +(-9.03082 + 4.12424i) q^{53} +(5.11613 + 0.908427i) q^{54} +(6.07788 - 0.873867i) q^{55} +(-0.849783 - 2.50557i) q^{56} +(-2.82495 + 1.58990i) q^{57} +(-6.27778 + 1.84332i) q^{58} +(2.67243 - 5.85180i) q^{59} +(4.86981 - 1.88782i) q^{60} +(-5.71053 + 4.94820i) q^{61} +(3.33821 + 7.30967i) q^{62} +(7.76316 - 1.65328i) q^{63} +(0.142315 - 0.989821i) q^{64} +(10.8598 - 16.8982i) q^{65} +(3.11698 + 1.65047i) q^{66} +(0.480765 + 0.141165i) q^{67} -0.0923203 q^{68} +(-1.11485 + 8.23147i) q^{69} +(5.80816 - 5.46955i) q^{70} +(-3.61994 + 12.3284i) q^{71} +(2.89921 + 0.771105i) q^{72} +(-1.66404 + 2.58929i) q^{73} +(5.88813 + 0.846585i) q^{74} +(5.07670 + 4.94814i) q^{75} +(-1.70243 + 0.777472i) q^{76} +(5.35987 + 0.545446i) q^{77} +(10.7577 - 4.17033i) q^{78} +(-1.63260 + 3.57490i) q^{79} +(2.89331 - 0.849551i) q^{80} +(-3.31408 + 8.36761i) q^{81} +(0.618232 + 0.282337i) q^{82} +(-0.905965 - 6.30113i) q^{83} +(4.54647 - 0.574092i) q^{84} +(-0.115646 - 0.253230i) q^{85} +(3.19462 + 4.97092i) q^{86} +(-0.953328 - 11.2923i) q^{87} +(1.71305 + 1.10091i) q^{88} +(-7.17644 + 8.28205i) q^{89} +(1.51663 + 8.91832i) q^{90} +(12.8306 - 12.0826i) q^{91} +(-1.04117 + 4.68145i) q^{92} +(-13.5614 + 3.13274i) q^{93} +(0.635458 - 2.16417i) q^{94} +(-4.26514 - 3.69576i) q^{95} +(1.63047 + 0.584430i) q^{96} +(17.8278 + 2.56325i) q^{97} +(6.10522 - 3.42437i) q^{98} +(-3.88078 + 4.71788i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 640 q + 64 q^{4} + 8 q^{9}+O(q^{10}) \) 640 * q + 64 * q^4 + 8 * q^9	\( 640 q + 64 q^{4} + 8 q^{9} + 8 q^{15} - 64 q^{16} + 20 q^{18} + 54 q^{21} - 8 q^{22} - 56 q^{25} - 44 q^{30} - 8 q^{36} + 20 q^{37} - 16 q^{39} - 4 q^{42} - 28 q^{43} + 24 q^{46} - 68 q^{49} - 40 q^{51} + 32 q^{57} - 80 q^{58} - 8 q^{60} + 86 q^{63} + 64 q^{64} + 24 q^{67} + 72 q^{70} - 64 q^{72} - 8 q^{78} - 144 q^{79} + 20 q^{81} + 34 q^{84} + 32 q^{85} + 8 q^{88} - 40 q^{91} + 16 q^{93} + 68 q^{99}+O(q^{100}) \) 640 * q + 64 * q^4 + 8 * q^9 + 8 * q^15 - 64 * q^16 + 20 * q^18 + 54 * q^21 - 8 * q^22 - 56 * q^25 - 44 * q^30 - 8 * q^36 + 20 * q^37 - 16 * q^39 - 4 * q^42 - 28 * q^43 + 24 * q^46 - 68 * q^49 - 40 * q^51 + 32 * q^57 - 80 * q^58 - 8 * q^60 + 86 * q^63 + 64 * q^64 + 24 * q^67 + 72 * q^70 - 64 * q^72 - 8 * q^78 - 144 * q^79 + 20 * q^81 + 34 * q^84 + 32 * q^85 + 8 * q^88 - 40 * q^91 + 16 * q^93 + 68 * q^99

Introduction

L-functions

Modular forms

Varieties

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Representations

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Database

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