LMFDB - Embedded newform 966.2.s.b.181.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [966,2,Mod(97,966)]

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([0, 11, 1]))

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

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

chi := DirichletCharacter("966.97");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 966 = 2 \cdot 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	966.s (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:	$160$
Relative dimension:	$16$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			181.4
Character	$\chi$	$=$	966.181
Dual form			966.2.s.b.475.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.142315 + 0.989821i) q^{2} +(-0.909632 - 0.415415i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-0.278516 + 0.321425i) q^{5} +(0.281733 - 0.959493i) q^{6} +(-0.505900 - 2.59693i) q^{7} +(-0.415415 - 0.909632i) q^{8} +(0.654861 + 0.755750i) q^{9} +O(q^{10})$	\(q+(0.142315 + 0.989821i) q^{2} +(-0.909632 - 0.415415i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-0.278516 + 0.321425i) q^{5} +(0.281733 - 0.959493i) q^{6} +(-0.505900 - 2.59693i) q^{7} +(-0.415415 - 0.909632i) q^{8} +(0.654861 + 0.755750i) q^{9} +(-0.357790 - 0.229938i) q^{10} +(2.33054 + 0.335081i) q^{11} +(0.989821 + 0.142315i) q^{12} +(-1.78832 + 2.78268i) q^{13} +(2.49850 - 0.870333i) q^{14} +(0.386872 - 0.176679i) q^{15} +(0.841254 - 0.540641i) q^{16} +(-4.62573 - 1.35824i) q^{17} +(-0.654861 + 0.755750i) q^{18} +(-2.81827 + 0.827520i) q^{19} +(0.176679 - 0.386872i) q^{20} +(-0.618623 + 2.57241i) q^{21} +2.35451i q^{22} +(3.31067 + 3.46979i) q^{23} +1.00000i q^{24} +(0.685832 + 4.77006i) q^{25} +(-3.00886 - 1.37410i) q^{26} +(-0.281733 - 0.959493i) q^{27} +(1.21705 + 2.34921i) q^{28} +(-2.90831 - 0.853956i) q^{29} +(0.229938 + 0.357790i) q^{30} +(-5.13149 + 2.34347i) q^{31} +(0.654861 + 0.755750i) q^{32} +(-1.98074 - 1.27294i) q^{33} +(0.686102 - 4.77194i) q^{34} +(0.975621 + 0.560680i) q^{35} +(-0.841254 - 0.540641i) q^{36} +(-3.64098 + 3.15492i) q^{37} +(-1.22018 - 2.67182i) q^{38} +(2.78268 - 1.78832i) q^{39} +(0.408078 + 0.119823i) q^{40} +(-5.84724 - 5.06666i) q^{41} +(-2.63427 - 0.246234i) q^{42} +(-0.705482 - 0.322183i) q^{43} +(-2.33054 + 0.335081i) q^{44} -0.425306 q^{45} +(-2.96332 + 3.77077i) q^{46} +1.15947i q^{47} +(-0.989821 + 0.142315i) q^{48} +(-6.48813 + 2.62758i) q^{49} +(-4.62391 + 1.35770i) q^{50} +(3.64348 + 3.15709i) q^{51} +(0.931909 - 3.17379i) q^{52} +(-5.77674 - 8.98879i) q^{53} +(0.909632 - 0.415415i) q^{54} +(-0.756798 + 0.655769i) q^{55} +(-2.15210 + 1.53899i) q^{56} +(2.90736 + 0.418015i) q^{57} +(0.431368 - 3.00023i) q^{58} +(-6.60815 + 10.2825i) q^{59} +(-0.321425 + 0.278516i) q^{60} +(1.58461 + 3.46982i) q^{61} +(-3.04990 - 4.74574i) q^{62} +(1.63134 - 2.08296i) q^{63} +(-0.654861 + 0.755750i) q^{64} +(-0.396347 - 1.34983i) q^{65} +(0.978098 - 2.14174i) q^{66} +(-1.10813 + 0.159325i) q^{67} +4.82102 q^{68} +(-1.57009 - 4.53154i) q^{69} +(-0.416128 + 1.04548i) q^{70} +(-0.686093 - 4.77188i) q^{71} +(0.415415 - 0.909632i) q^{72} +(-0.175928 - 0.599157i) q^{73} +(-3.64098 - 3.15492i) q^{74} +(1.35770 - 4.62391i) q^{75} +(2.47097 - 1.58800i) q^{76} +(-0.308836 - 6.22178i) q^{77} +(2.16614 + 2.49985i) q^{78} +(-1.76204 + 2.74179i) q^{79} +(-0.0605274 + 0.420977i) q^{80} +(-0.142315 + 0.989821i) q^{81} +(4.18294 - 6.50878i) q^{82} +(-0.252056 - 0.290888i) q^{83} +(-0.131168 - 2.64250i) q^{84} +(1.72491 - 1.10853i) q^{85} +(0.218503 - 0.744153i) q^{86} +(2.29074 + 1.98494i) q^{87} +(-0.663341 - 2.25913i) q^{88} +(0.473499 - 1.03682i) q^{89} +(-0.0605274 - 0.420977i) q^{90} +(8.13115 + 3.23639i) q^{91} +(-4.15412 - 2.39652i) q^{92} +5.64128 q^{93} +(-1.14767 + 0.165009i) q^{94} +(0.518950 - 1.13634i) q^{95} +(-0.281733 - 0.959493i) q^{96} +(7.44907 - 8.59669i) q^{97} +(-3.52419 - 6.04815i) q^{98} +(1.27294 + 1.98074i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 160 q + 16 q^{2} - 16 q^{4} + 16 q^{8} + 16 q^{9}+O(q^{10}) $ 160 * q + 16 * q^2 - 16 * q^4 + 16 * q^8 + 16 * q^9	$ 160 q + 16 q^{2} - 16 q^{4} + 16 q^{8} + 16 q^{9} + 22 q^{14} - 16 q^{16} - 16 q^{18} - 52 q^{23} - 48 q^{25} + 22 q^{28} - 12 q^{29} + 16 q^{32} + 22 q^{35} + 16 q^{36} + 22 q^{37} - 4 q^{39} + 154 q^{43} + 8 q^{46} + 4 q^{50} + 22 q^{51} + 88 q^{53} + 22 q^{57} + 56 q^{58} - 16 q^{64} + 16 q^{71} - 16 q^{72} + 22 q^{74} - 72 q^{77} + 4 q^{78} + 88 q^{79} - 16 q^{81} - 22 q^{84} - 68 q^{85} - 44 q^{86} + 44 q^{88} - 8 q^{92} - 8 q^{93} - 66 q^{95} + 66 q^{98} - 66 q^{99}+O(q^{100}) $ 160 * q + 16 * q^2 - 16 * q^4 + 16 * q^8 + 16 * q^9 + 22 * q^14 - 16 * q^16 - 16 * q^18 - 52 * q^23 - 48 * q^25 + 22 * q^28 - 12 * q^29 + 16 * q^32 + 22 * q^35 + 16 * q^36 + 22 * q^37 - 4 * q^39 + 154 * q^43 + 8 * q^46 + 4 * q^50 + 22 * q^51 + 88 * q^53 + 22 * q^57 + 56 * q^58 - 16 * q^64 + 16 * q^71 - 16 * q^72 + 22 * q^74 - 72 * q^77 + 4 * q^78 + 88 * q^79 - 16 * q^81 - 22 * q^84 - 68 * q^85 - 44 * q^86 + 44 * q^88 - 8 * q^92 - 8 * q^93 - 66 * q^95 + 66 * q^98 - 66 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$323$	$829$	$925$
$\chi(n)$	$1$	$-1$	$e\left(\frac{5}{22}\right)$

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 $

$2$	0.142315	+	0.989821i	0.100632	+	0.699909i
$2$	0.142315	+	0.989821i	0.100632	+	0.699909i
$3$	−0.909632	−	0.415415i	−0.525176	−	0.239840i
$3$	−0.909632	−	0.415415i	−0.525176	−	0.239840i
$4$	−0.959493	+	0.281733i	−0.479746	+	0.140866i
$5$	−0.278516	+	0.321425i	−0.124556	+	0.143746i	−0.814602	−	0.580020i	$-0.803045\pi$
$5$	−0.278516	+	0.321425i	−0.124556	+	0.143746i	0.690046	+	0.723765i	$0.257590\pi$
$6$	0.281733	−	0.959493i	0.115017	−	0.391711i
$7$	−0.505900	−	2.59693i	−0.191212	−	0.981549i
$7$	−0.505900	−	2.59693i	−0.191212	−	0.981549i
$8$	−0.415415	−	0.909632i	−0.146871	−	0.321603i
$9$	0.654861	+	0.755750i	0.218287	+	0.251917i
$10$	−0.357790	−	0.229938i	−0.113143	−	0.0727128i
$11$	2.33054	+	0.335081i	0.702685	+	0.101031i	0.484390	−	0.874852i	$-0.339042\pi$
$11$	2.33054	+	0.335081i	0.702685	+	0.101031i	0.218295	+	0.975883i	$0.429951\pi$
$12$	0.989821	+	0.142315i	0.285737	+	0.0410828i
$13$	−1.78832	+	2.78268i	−0.495991	+	0.771777i	−0.995523	−	0.0945183i	$-0.969869\pi$
$13$	−1.78832	+	2.78268i	−0.495991	+	0.771777i	0.499532	+	0.866295i	$0.333505\pi$
$14$	2.49850	−	0.870333i	0.667753	−	0.232606i
$15$	0.386872	−	0.176679i	0.0998900	−	0.0456182i
$16$	0.841254	−	0.540641i	0.210313	−	0.135160i
$17$	−4.62573	−	1.35824i	−1.12190	−	0.329421i	−0.332383	−	0.943144i	$-0.607853\pi$
$17$	−4.62573	−	1.35824i	−1.12190	−	0.329421i	−0.789521	+	0.613724i	$0.789671\pi$
$18$	−0.654861	+	0.755750i	−0.154352	+	0.178132i
$19$	−2.81827	+	0.827520i	−0.646556	+	0.189846i	−0.588538	−	0.808469i	$-0.700296\pi$
$19$	−2.81827	+	0.827520i	−0.646556	+	0.189846i	−0.0580183	+	0.998316i	$0.518478\pi$
$20$	0.176679	−	0.386872i	0.0395065	−	0.0865073i
$21$	−0.618623	+	2.57241i	−0.134995	+	0.561346i
$22$			2.35451i			0.501983i
$23$	3.31067	+	3.46979i	0.690322	+	0.723502i
$23$	3.31067	+	3.46979i	0.690322	+	0.723502i
$24$			1.00000i			0.204124i
$25$	0.685832	+	4.77006i	0.137166	+	0.954013i
$26$	−3.00886	−	1.37410i	−0.590086	−	0.269483i
$27$	−0.281733	−	0.959493i	−0.0542195	−	0.184655i
$28$	1.21705	+	2.34921i	0.230000	+	0.443959i
$29$	−2.90831	−	0.853956i	−0.540059	−	0.158576i	0.000316087	−	1.00000i	$-0.499899\pi$
$29$	−2.90831	−	0.853956i	−0.540059	−	0.158576i	−0.540375	+	0.841424i	$0.681718\pi$
$30$	0.229938	+	0.357790i	0.0419807	+	0.0653233i
$31$	−5.13149	+	2.34347i	−0.921642	+	0.420900i	−0.818984	−	0.573817i	$-0.805462\pi$
$31$	−5.13149	+	2.34347i	−0.921642	+	0.420900i	−0.102658	+	0.994717i	$0.532735\pi$
$32$	0.654861	+	0.755750i	0.115764	+	0.133599i
$33$	−1.98074	−	1.27294i	−0.344802	−	0.221591i
$34$	0.686102	−	4.77194i	0.117666	−	0.818382i
$35$	0.975621	+	0.560680i	0.164910	+	0.0947722i
$36$	−0.841254	−	0.540641i	−0.140209	−	0.0901068i
$37$	−3.64098	+	3.15492i	−0.598573	+	0.518666i	−0.900609	−	0.434630i	$-0.856879\pi$
$37$	−3.64098	+	3.15492i	−0.598573	+	0.518666i	0.302036	+	0.953296i	$0.402334\pi$
$38$	−1.22018	−	2.67182i	−0.197939	−	0.433426i
$39$	2.78268	−	1.78832i	0.445586	−	0.286361i
$40$	0.408078	+	0.119823i	0.0645229	+	0.0189456i
$41$	−5.84724	−	5.06666i	−0.913185	−	0.791279i	0.0652424	−	0.997869i	$-0.479218\pi$
$41$	−5.84724	−	5.06666i	−0.913185	−	0.791279i	−0.978428	+	0.206590i	$0.933763\pi$
$42$	−2.63427	−	0.246234i	−0.406476	−	0.0379947i
$43$	−0.705482	−	0.322183i	−0.107585	−	0.0491324i	0.360895	−	0.932606i	$-0.382471\pi$
$43$	−0.705482	−	0.322183i	−0.107585	−	0.0491324i	−0.468480	+	0.883474i	$0.655198\pi$
$44$	−2.33054	+	0.335081i	−0.351342	+	0.0505154i
$45$	−0.425306			−0.0634009
$46$	−2.96332	+	3.77077i	−0.436918	+	0.555970i
$47$			1.15947i			0.169126i	0.996418	+	0.0845629i	$0.0269494\pi$
$47$			1.15947i			0.169126i	−0.996418	+	0.0845629i	$0.973051\pi$
$48$	−0.989821	+	0.142315i	−0.142868	+	0.0205414i
$49$	−6.48813	+	2.62758i	−0.926876	+	0.375368i
$50$	−4.62391	+	1.35770i	−0.653919	+	0.192008i
$51$	3.64348	+	3.15709i	0.510189	+	0.442082i
$52$	0.931909	−	3.17379i	0.129233	−	0.440126i
$53$	−5.77674	−	8.98879i	−0.793497	−	1.23471i	−0.968223	−	0.250088i	$-0.919540\pi$
$53$	−5.77674	−	8.98879i	−0.793497	−	1.23471i	0.174726	−	0.984617i	$-0.444096\pi$
$54$	0.909632	−	0.415415i	0.123785	−	0.0565308i
$55$	−0.756798	+	0.655769i	−0.102047	+	0.0884238i
$56$	−2.15210	+	1.53899i	−0.287586	+	0.205656i
$57$	2.90736	+	0.418015i	0.385089	+	0.0553674i
$58$	0.431368	−	3.00023i	0.0566415	−	0.393950i
$59$	−6.60815	+	10.2825i	−0.860308	+	1.33867i	0.0794544	+	0.996839i	$0.474682\pi$
$59$	−6.60815	+	10.2825i	−0.860308	+	1.33867i	−0.939763	+	0.341827i	$0.888954\pi$
$60$	−0.321425	+	0.278516i	−0.0414958	+	0.0359563i
$61$	1.58461	+	3.46982i	0.202889	+	0.444265i	0.983537	−	0.180706i	$-0.0578382\pi$
$61$	1.58461	+	3.46982i	0.202889	+	0.444265i	−0.780648	+	0.624971i	$0.785111\pi$
$62$	−3.04990	−	4.74574i	−0.387338	−	0.602710i
$63$	1.63134	−	2.08296i	0.205529	−	0.262429i
$64$	−0.654861	+	0.755750i	−0.0818576	+	0.0944687i
$65$	−0.396347	−	1.34983i	−0.0491608	−	0.167426i
$66$	0.978098	−	2.14174i	0.120395	−	0.263629i
$67$	−1.10813	+	0.159325i	−0.135379	+	0.0194646i	−0.209671	−	0.977772i	$-0.567239\pi$
$67$	−1.10813	+	0.159325i	−0.135379	+	0.0194646i	0.0742920	+	0.997237i	$0.476330\pi$
$68$	4.82102			0.584634
$69$	−1.57009	−	4.53154i	−0.189016	−	0.545533i
$70$	−0.416128	+	1.04548i	−0.0497368	+	0.124959i
$71$	−0.686093	−	4.77188i	−0.0814242	−	0.566318i	−0.989167	−	0.146792i	$-0.953105\pi$
$71$	−0.686093	−	4.77188i	−0.0814242	−	0.566318i	0.907743	−	0.419526i	$-0.137804\pi$
$72$	0.415415	−	0.909632i	0.0489571	−	0.107201i
$73$	−0.175928	−	0.599157i	−0.0205909	−	0.0701260i	0.948557	−	0.316607i	$-0.102544\pi$
$73$	−0.175928	−	0.599157i	−0.0205909	−	0.0701260i	−0.969148	+	0.246481i	$0.920726\pi$
$74$	−3.64098	−	3.15492i	−0.423255	−	0.366752i
$75$	1.35770	−	4.62391i	0.156774	−	0.533923i
$76$	2.47097	−	1.58800i	0.283440	−	0.182156i
$77$	−0.308836	−	6.22178i	−0.0351952	−	0.709038i
$78$	2.16614	+	2.49985i	0.245267	+	0.283053i
$79$	−1.76204	+	2.74179i	−0.198245	+	0.308475i	−0.926116	−	0.377239i	$-0.876874\pi$
$79$	−1.76204	+	2.74179i	−0.198245	+	0.308475i	0.727871	+	0.685714i	$0.240510\pi$
$80$	−0.0605274	+	0.420977i	−0.00676717	+	0.0470667i
$81$	−0.142315	+	0.989821i	−0.0158128	+	0.109980i
$82$	4.18294	−	6.50878i	0.461929	−	0.718775i
$83$	−0.252056	−	0.290888i	−0.0276667	−	0.0319291i	0.741748	−	0.670679i	$-0.233997\pi$
$83$	−0.252056	−	0.290888i	−0.0276667	−	0.0319291i	−0.769414	+	0.638750i	$0.779452\pi$
$84$	−0.131168	−	2.64250i	−0.0143116	−	0.288320i
$85$	1.72491	−	1.10853i	0.187093	−	0.120237i
$86$	0.218503	−	0.744153i	0.0235618	−	0.0802440i
$87$	2.29074	+	1.98494i	0.245593	+	0.212808i
$88$	−0.663341	−	2.25913i	−0.0707124	−	0.240824i
$89$	0.473499	−	1.03682i	0.0501908	−	0.109903i	−0.882875	−	0.469608i	$-0.844395\pi$
$89$	0.473499	−	1.03682i	0.0501908	−	0.109903i	0.933066	+	0.359705i	$0.117123\pi$
$90$	−0.0605274	−	0.420977i	−0.00638015	−	0.0443749i
$91$	8.13115	+	3.23639i	0.852376	+	0.339266i
$92$	−4.15412	−	2.39652i	−0.433097	−	0.249854i
$93$	5.64128			0.584973
$94$	−1.14767	+	0.165009i	−0.118373	+	0.0170194i
$95$	0.518950	−	1.13634i	0.0532431	−	0.116586i
$96$	−0.281733	−	0.959493i	−0.0287542	−	0.0979278i
$97$	7.44907	−	8.59669i	0.756339	−	0.872861i	−0.238828	−	0.971062i	$-0.576763\pi$
$97$	7.44907	−	8.59669i	0.756339	−	0.872861i	0.995167	+	0.0982007i	$0.0313087\pi$
$98$	−3.52419	−	6.04815i	−0.355997	−	0.610955i
$99$	1.27294	+	1.98074i	0.127936	+	0.199072i
$100$	−2.00193	−	4.38362i	−0.200193	−	0.438362i
$101$	−6.37384	+	5.52296i	−0.634221	+	0.549556i	−0.911534	−	0.411224i	$-0.865101\pi$
$101$	−6.37384	+	5.52296i	−0.634221	+	0.549556i	0.277313	+	0.960780i	$0.410556\pi$
$102$	−2.60644	+	4.05570i	−0.258076	+	0.401574i
$103$	−1.21964	+	8.48280i	−0.120175	+	0.835835i	0.837181	+	0.546925i	$0.184202\pi$
$103$	−1.21964	+	8.48280i	−0.120175	+	0.835835i	−0.957356	+	0.288910i	$0.906707\pi$
$104$	3.27411	+	0.470746i	0.321053	+	0.0461605i
$105$	−0.654541	−	0.915300i	−0.0638767	−	0.0893241i
$106$	8.07518	−	6.99718i	0.784331	−	0.679627i
$107$	−0.240750	+	0.109947i	−0.0232742	+	0.0106290i	−0.427018	−	0.904243i	$-0.640436\pi$
$107$	−0.240750	+	0.109947i	−0.0232742	+	0.0106290i	0.403744	+	0.914872i	$0.367709\pi$
$108$	0.540641	+	0.841254i	0.0520232	+	0.0809497i
$109$	−4.87043	+	16.5872i	−0.466503	+	1.58876i	0.304879	+	0.952391i	$0.401384\pi$
$109$	−4.87043	+	16.5872i	−0.466503	+	1.58876i	−0.771382	+	0.636372i	$0.780434\pi$
$110$	−0.756798	−	0.655769i	−0.0721578	−	0.0625251i
$111$	4.62255	−	1.35730i	0.438753	−	0.128830i
$112$	−1.82960	−	1.91117i	−0.172881	−	0.180589i
$113$	3.95419	−	0.568526i	0.371979	−	0.0534825i	0.0462095	−	0.998932i	$-0.485286\pi$
$113$	3.95419	−	0.568526i	0.371979	−	0.0534825i	0.325769	+	0.945449i	$0.394377\pi$
$114$			2.93725i			0.275099i
$115$	−2.03735	+	0.0977373i	−0.189984	+	0.00911405i
$116$	3.03109			0.281429
$117$	−3.27411	+	0.470746i	−0.302692	+	0.0435205i
$118$	−11.1183	−	5.07754i	−1.02352	−	0.467426i
$119$	−1.18710	+	12.6998i	−0.108821	+	1.16419i
$120$	−0.321425	−	0.278516i	−0.0293420	−	0.0254250i
$121$	−5.23528	−	1.53722i	−0.475934	−	0.139747i
$122$	−3.20899	+	2.06229i	−0.290528	+	0.186711i
$123$	3.21407	+	7.03783i	0.289803	+	0.634580i
$124$	4.26339	−	3.69425i	0.382864	−	0.331754i
$125$	−3.51318	−	2.25779i	−0.314229	−	0.201943i
$126$	2.29393	+	1.31830i	0.204359	+	0.117443i
$127$	−0.388326	+	2.70087i	−0.0344584	+	0.239663i	−0.999770	−	0.0214364i	$-0.993176\pi$
$127$	−0.388326	+	2.70087i	−0.0344584	+	0.239663i	0.965312	+	0.261100i	$0.0840852\pi$
$128$	−0.841254	−	0.540641i	−0.0743570	−	0.0477863i
$129$	0.507889	+	0.586136i	0.0447172	+	0.0516064i
$130$	1.27969	−	0.584414i	0.112236	−	0.0512565i
$131$	4.23924	+	6.59638i	0.370384	+	0.576328i	0.975552	−	0.219769i	$-0.0705305\pi$
$131$	4.23924	+	6.59638i	0.370384	+	0.576328i	−0.605168	+	0.796098i	$0.706894\pi$
$132$	2.25913	+	0.663341i	0.196632	+	0.0577365i
$133$	3.57478	+	6.90023i	0.309973	+	0.598326i
$134$	−0.315406	−	1.07417i	−0.0272469	−	0.0927946i
$135$	0.386872	+	0.176679i	0.0332967	+	0.0152061i
$136$	0.686102	+	4.77194i	0.0588328	+	0.409191i
$137$		−	15.8711i		−	1.35596i	−0.735080	−	0.677981i	$-0.762855\pi$
$137$		−	15.8711i		−	1.35596i	0.735080	−	0.677981i	$-0.237145\pi$
$138$	4.26197	−	2.19901i	0.362803	−	0.187192i
$139$			0.845684i			0.0717300i	0.999357	+	0.0358650i	$0.0114186\pi$
$139$			0.845684i			0.0717300i	−0.999357	+	0.0358650i	$0.988581\pi$
$140$	−1.09406	−	0.263104i	−0.0924652	−	0.0222364i
$141$	0.481660	−	1.05469i	0.0405631	−	0.0888208i
$142$	4.62567	−	1.35822i	0.388177	−	0.113979i
$143$	−5.10018	+	5.88592i	−0.426499	+	0.492206i
$144$	0.959493	+	0.281733i	0.0799577	+	0.0234777i
$145$	1.08449	−	0.696962i	0.0900623	−	0.0578795i
$146$	0.568021	−	0.259407i	0.0470098	−	0.0214686i
$147$	6.99335	+	0.305140i	0.576801	+	0.0251675i
$148$	2.60465	−	4.05291i	0.214101	−	0.333147i
$149$	1.95968	+	0.281760i	0.160543	+	0.0230827i	0.222118	−	0.975020i	$-0.428703\pi$
$149$	1.95968	+	0.281760i	0.160543	+	0.0230827i	−0.0615744	+	0.998102i	$0.519612\pi$
$150$	4.77006	+	0.685832i	0.389474	+	0.0559979i
$151$	13.6623	+	8.78023i	1.11182	+	0.714525i	0.961689	−	0.274141i	$-0.0883935\pi$
$151$	13.6623	+	8.78023i	1.11182	+	0.714525i	0.150133	+	0.988666i	$0.452030\pi$
$152$	1.92349	+	2.21983i	0.156016	+	0.180052i
$153$	−2.00272	−	4.38535i	−0.161910	−	0.354535i
$154$	6.11450	−	1.19114i	0.492720	−	0.0959851i
$155$	0.675953	−	2.30208i	0.0542938	−	0.184908i
$156$	−2.16614	+	2.49985i	−0.173430	+	0.200148i
$157$	6.45770	−	1.89615i	0.515381	−	0.151329i	−0.0136915	−	0.999906i	$-0.504358\pi$
$157$	6.45770	−	1.89615i	0.515381	−	0.151329i	0.529072	+	0.848577i	$0.322540\pi$
$158$	−2.96464	−	1.35391i	−0.235854	−	0.107711i
$159$	1.52063	+	10.5762i	0.120594	+	0.838750i
$160$	−0.425306			−0.0336234
$161$	7.33596	−	10.3530i	0.578155	−	0.815927i
$162$	−1.00000			−0.0785674
$163$	1.85066	+	12.8716i	0.144955	+	1.00818i	0.924321	+	0.381615i	$0.124632\pi$
$163$	1.85066	+	12.8716i	0.144955	+	1.00818i	−0.779366	+	0.626568i	$0.784459\pi$
$164$	7.03783	+	3.21407i	0.549562	+	0.250977i
$165$	0.960823	−	0.282123i	0.0748000	−	0.0219633i
$166$	0.252056	−	0.290888i	0.0195633	−	0.0225773i
$167$	5.74533	−	19.5668i	0.444587	−	1.51413i	−0.367183	−	0.930149i	$-0.619678\pi$
$167$	5.74533	−	19.5668i	0.444587	−	1.51413i	0.811771	−	0.583977i	$-0.198504\pi$
$168$	2.59693	−	0.505900i	0.200358	−	0.0390310i
$169$	0.855170	+	1.87256i	0.0657823	+	0.144043i
$170$	1.34273	+	1.54959i	0.102983	+	0.118849i
$171$	−2.47097	−	1.58800i	−0.188960	−	0.121437i
$172$	0.767674	+	0.110375i	0.0585346	+	0.00841601i
$173$	3.22100	+	0.463109i	0.244888	+	0.0352096i	0.263666	−	0.964614i	$-0.415068\pi$
$173$	3.22100	+	0.463109i	0.244888	+	0.0352096i	−0.0187778	+	0.999824i	$0.505978\pi$
$174$	−1.63873	+	2.54991i	−0.124232	+	0.193308i
$175$	12.0406	−	4.19423i	0.910182	−	0.317054i
$176$	2.14174	−	0.978098i	0.161439	−	0.0737269i
$177$	10.2825	−	6.60815i	0.772879	−	0.496699i
$178$	1.09365	+	0.321125i	0.0819726	+	0.0240693i
$179$	−1.13909	+	1.31458i	−0.0851398	+	0.0982565i	−0.796721	−	0.604347i	$-0.793434\pi$
$179$	−1.13909	+	1.31458i	−0.0851398	+	0.0982565i	0.711581	+	0.702604i	$0.247979\pi$
$180$	0.408078	−	0.119823i	0.0304164	−	0.00893105i
$181$	7.67835	−	16.8133i	0.570728	−	1.24972i	−0.375681	−	0.926749i	$-0.622591\pi$
$181$	7.67835	−	16.8133i	0.570728	−	1.24972i	0.946409	−	0.322970i	$-0.104681\pi$
$182$	−2.04627	+	8.50897i	−0.151679	+	0.630727i
$183$		−	3.81453i		−	0.281978i
$184$	1.78093	−	4.45289i	0.131292	−	0.328272i
$185$		−	2.04900i		−	0.150645i
$186$	0.802837	+	5.58386i	0.0588669	+	0.409428i
$187$	−10.3253	−	4.71542i	−0.755063	−	0.344826i
$188$	−0.326660	−	1.11250i	−0.0238241	−	0.0811375i
$189$	−2.34921	+	1.21705i	−0.170880	+	0.0885272i
$190$	1.19863	+	0.351949i	0.0869577	+	0.0255331i
$191$	−9.09739	−	14.1558i	−0.658264	−	1.02428i	−0.996530	−	0.0832286i	$-0.973477\pi$
$191$	−9.09739	−	14.1558i	−0.658264	−	1.02428i	0.338266	−	0.941050i	$-0.390160\pi$
$192$	0.909632	−	0.415415i	0.0656470	−	0.0299800i
$193$	−7.60455	−	8.77612i	−0.547388	−	0.631719i	0.412885	−	0.910783i	$-0.364521\pi$
$193$	−7.60455	−	8.77612i	−0.547388	−	0.631719i	−0.960272	+	0.279064i	$0.909976\pi$
$194$	9.56930	+	6.14981i	0.687036	+	0.441531i
$195$	−0.200211	+	1.39250i	−0.0143374	+	0.0997190i
$196$	5.48504	−	4.34906i	0.391789	−	0.310647i
$197$	−7.88018	−	5.06428i	−0.561439	−	0.360815i	0.228933	−	0.973442i	$-0.426476\pi$
$197$	−7.88018	−	5.06428i	−0.561439	−	0.360815i	−0.790372	+	0.612627i	$0.790113\pi$
$198$	−1.77942	+	1.54187i	−0.126458	+	0.109576i
$199$	10.9869	+	24.0579i	0.778838	+	1.70542i	0.706149	+	0.708063i	$0.250431\pi$
$199$	10.9869	+	24.0579i	0.778838	+	1.70542i	0.0726890	+	0.997355i	$0.476842\pi$
$200$	4.05410	−	2.60541i	0.286668	−	0.184230i
$201$	1.07417	+	0.315406i	0.0757665	+	0.0222470i
$202$	−6.37384	−	5.52296i	−0.448462	−	0.388594i
$203$	−0.746355	+	7.98469i	−0.0523839	+	0.560416i
$204$	−4.38535	−	2.00272i	−0.307036	−	0.140219i
$205$	3.25710	−	0.468301i	0.227486	−	0.0327075i
$206$	−8.57003			−0.597102
$207$	−0.454269	+	4.77427i	−0.0315738	+	0.331835i
$208$			3.30778i			0.229353i
$209$	−6.84539	+	0.984219i	−0.473506	+	0.0680798i
$210$	0.812833	−	0.778140i	0.0560908	−	0.0536967i
$211$	−4.30384	+	1.26372i	−0.296289	+	0.0869982i	−0.426499	−	0.904488i	$-0.640253\pi$
$211$	−4.30384	+	1.26372i	−0.296289	+	0.0869982i	0.130210	+	0.991486i	$0.458435\pi$
$212$	8.07518	+	6.99718i	0.554606	+	0.480569i
$213$	−1.35822	+	4.62567i	−0.0930636	+	0.316946i
$214$	−0.143090	−	0.222653i	−0.00978144	−	0.0152202i
$215$	0.300046	−	0.137026i	0.0204630	−	0.00934512i
$216$	−0.755750	+	0.654861i	−0.0514222	+	0.0445576i
$217$	8.68186	+	12.1406i	0.589363	+	0.824156i
$218$	−17.1115	−	2.46026i	−1.15894	−	0.166630i
$219$	−0.0888687	+	0.618096i	−0.00600519	+	0.0417670i
$220$	0.541390	−	0.842420i	0.0365005	−	0.0567959i
$221$	12.0518	−	10.4430i	0.810694	−	0.702470i
$222$	2.00135	+	4.38234i	0.134322	+	0.294123i
$223$	1.32137	+	2.05609i	0.0884855	+	0.137686i	0.882675	−	0.469984i	$-0.155740\pi$
$223$	1.32137	+	2.05609i	0.0884855	+	0.137686i	−0.794189	+	0.607671i	$0.792104\pi$
$224$	1.63134	−	2.08296i	0.108998	−	0.139174i
$225$	−3.15585	+	3.64204i	−0.210390	+	0.242803i
$226$	1.12548	+	3.83303i	0.0748658	+	0.254969i
$227$	2.14172	−	4.68972i	0.142151	−	0.311268i	−0.825143	−	0.564923i	$-0.808906\pi$
$227$	2.14172	−	4.68972i	0.142151	−	0.311268i	0.967295	+	0.253656i	$0.0816330\pi$
$228$	−2.90736	+	0.418015i	−0.192544	+	0.0276837i
$229$	21.9171			1.44832			0.724160	−	0.689631i	$-0.242227\pi$
$229$	21.9171			1.44832			0.724160	+	0.689631i	$0.242227\pi$
$230$	−0.386688	−	2.00271i	−0.0254975	−	0.132055i
$231$	−2.30369	+	5.78783i	−0.151572	+	0.380811i
$232$	0.431368	+	3.00023i	0.0283207	+	0.196975i
$233$	−5.60110	+	12.2647i	−0.366940	+	0.803487i	0.632638	+	0.774448i	$0.281972\pi$
$233$	−5.60110	+	12.2647i	−0.366940	+	0.803487i	−0.999578	+	0.0290396i	$0.990755\pi$
$234$	−0.931909	−	3.17379i	−0.0609208	−	0.207477i
$235$	−0.372682	−	0.322931i	−0.0243111	−	0.0210657i
$236$	3.44357	−	11.7277i	0.224157	−	0.763409i
$237$	2.74179	−	1.76204i	0.178098	−	0.114457i
$238$	−12.7395	+	0.632363i	−0.825781	+	0.0409900i
$239$	1.45723	+	1.68174i	0.0942606	+	0.108782i	0.800920	−	0.598771i	$-0.204344\pi$
$239$	1.45723	+	1.68174i	0.0942606	+	0.108782i	−0.706659	+	0.707554i	$0.749799\pi$
$240$	0.229938	−	0.357790i	0.0148424	−	0.0230953i
$241$	−1.32470	+	9.21347i	−0.0853312	+	0.593492i	0.901627	+	0.432515i	$0.142374\pi$
$241$	−1.32470	+	9.21347i	−0.0853312	+	0.593492i	−0.986958	+	0.160977i	$0.948536\pi$
$242$	0.776512	−	5.40076i	0.0499161	−	0.347174i
$243$	0.540641	−	0.841254i	0.0346821	−	0.0539664i
$244$	−2.49799	−	2.88283i	−0.159917	−	0.184554i
$245$	0.962482	−	2.81727i	0.0614907	−	0.179989i
$246$	−6.50878	+	4.18294i	−0.414985	+	0.266695i
$247$	2.73725	−	9.32223i	0.174167	−	0.593159i
$248$	4.26339	+	3.69425i	0.270726	+	0.234585i
$249$	0.108439	+	0.369309i	0.00687203	+	0.0234040i
$250$	1.73483	−	3.79874i	0.109720	−	0.240254i
$251$	1.69069	+	11.7590i	0.106715	+	0.742221i	0.970976	+	0.239177i	$0.0768776\pi$
$251$	1.69069	+	11.7590i	0.106715	+	0.742221i	−0.864261	+	0.503044i	$0.832213\pi$
$252$	−0.978419	+	2.45819i	−0.0616346	+	0.154851i
$253$	6.55299	+	9.19584i	0.411983	+	0.578138i
$254$	−2.72864			−0.171210
$255$	−2.02954	+	0.291803i	−0.127095	+	0.0182734i
$256$	0.415415	−	0.909632i	0.0259634	−	0.0568520i
$257$	−5.17324	−	17.6184i	−0.322698	−	1.09901i	−0.947906	−	0.318550i	$-0.896804\pi$
$257$	−5.17324	−	17.6184i	−0.322698	−	1.09901i	0.625208	−	0.780458i	$-0.285014\pi$
$258$	−0.507889	+	0.586136i	−0.0316198	+	0.0364912i
$259$	10.0351	+	7.85930i	0.623551	+	0.488353i
$260$	0.760584	+	1.18349i	0.0471694	+	0.0733971i
$261$	−1.25916	−	2.75717i	−0.0779400	−	0.170665i
$262$	−5.92593	+	5.13485i	−0.366105	+	0.317232i
$263$	16.8998	−	26.2966i	1.04209	−	1.62152i	0.296594	−	0.955004i	$-0.404149\pi$
$263$	16.8998	−	26.2966i	1.04209	−	1.62152i	0.745492	−	0.666514i	$-0.232214\pi$
$264$	−0.335081	+	2.33054i	−0.0206228	+	0.143435i
$265$	4.49814	+	0.646735i	0.276319	+	0.0397286i
$266$	−6.32125	+	4.52040i	−0.387581	+	0.277163i
$267$	−0.861420	+	0.746425i	−0.0527180	+	0.0456804i
$268$	1.01835	−	0.465067i	0.0622059	−	0.0284085i
$269$	14.6319	+	22.7677i	0.892125	+	1.38817i	0.921406	+	0.388602i	$0.127042\pi$
$269$	14.6319	+	22.7677i	0.892125	+	1.38817i	−0.0292807	+	0.999571i	$0.509322\pi$
$270$	−0.119823	+	0.408078i	−0.00729217	+	0.0248349i
$271$	−7.93680	−	6.87728i	−0.482126	−	0.417765i	0.379590	−	0.925155i	$-0.376065\pi$
$271$	−7.93680	−	6.87728i	−0.482126	−	0.417765i	−0.861717	+	0.507390i	$0.830610\pi$
$272$	−4.62573	+	1.35824i	−0.280476	+	0.0823552i
$273$	−6.05191	−	6.32173i	−0.366278	−	0.382608i
$274$	15.7096	−	2.25870i	0.949050	−	0.136453i
$275$			11.3466i			0.684228i
$276$	2.78317	+	3.90563i	0.167527	+	0.235092i
$277$	11.8267			0.710595			0.355297	−	0.934753i	$-0.384380\pi$
$277$	11.8267			0.710595			0.355297	+	0.934753i	$0.384380\pi$
$278$	−0.837076	+	0.120353i	−0.0502045	+	0.00721832i
$279$	−5.13149	−	2.34347i	−0.307214	−	0.140300i
$280$	0.104725	−	1.12037i	0.00625850	−	0.0669550i
$281$	−5.15776	−	4.46922i	−0.307686	−	0.266611i	0.487306	−	0.873231i	$-0.337980\pi$
$281$	−5.15776	−	4.46922i	−0.307686	−	0.266611i	−0.794992	+	0.606620i	$0.792525\pi$
$282$	1.11250	+	0.326660i	0.0662485	+	0.0194523i
$283$	−22.3817	+	14.3838i	−1.33045	+	0.855029i	−0.996169	−	0.0874435i	$-0.972130\pi$
$283$	−22.3817	+	14.3838i	−1.33045	+	0.855029i	−0.334282	+	0.942473i	$0.608494\pi$
$284$	2.00269	+	4.38529i	0.118838	+	0.260219i
$285$	−0.944107	+	0.818073i	−0.0559241	+	0.0484585i
$286$	−6.55184	−	4.21061i	−0.387419	−	0.248979i
$287$	−10.1997	+	17.7481i	−0.602067	+	1.04764i
$288$	−0.142315	+	0.989821i	−0.00838598	+	0.0583258i
$289$	5.25126	+	3.37478i	0.308898	+	0.198517i
$290$	0.844207	+	0.974267i	0.0495735	+	0.0572109i
$291$	−10.3471	+	4.72536i	−0.606558	+	0.277006i
$292$	0.337604	+	0.525322i	0.0197568	+	0.0307422i
$293$	−5.03841	−	1.47941i	−0.294347	−	0.0864281i	0.131225	−	0.991353i	$-0.458109\pi$
$293$	−5.03841	−	1.47941i	−0.294347	−	0.0864281i	−0.425572	+	0.904924i	$0.639927\pi$
$294$	0.693223	+	6.96559i	0.0404296	+	0.406241i
$295$	−1.46457	−	4.98787i	−0.0852706	−	0.290405i
$296$	4.38234	+	2.00135i	0.254718	+	0.116326i
$297$	−0.335081	−	2.33054i	−0.0194434	−	0.135232i
$298$			1.97983i			0.114689i
$299$	−15.5759	+	3.00743i	−0.900776	+	0.173924i
$300$			4.81911i			0.278232i
$301$	−0.479784	+	1.99508i	−0.0276543	+	0.114995i
$302$	−6.74651	+	14.7728i	−0.388218	+	0.850079i
$303$	8.09217	−	2.37608i	0.464883	−	0.136502i
$304$	−1.92349	+	2.21983i	−0.110320	+	0.127316i
$305$	−1.55663	−	0.457067i	−0.0891322	−	0.0261716i
$306$	4.05570	−	2.60644i	0.231849	−	0.149000i
$307$	24.4062	−	11.1460i	1.39294	−	0.636134i	0.429255	−	0.903183i	$-0.358776\pi$
$307$	24.4062	−	11.1460i	1.39294	−	0.636134i	0.963683	+	0.267050i	$0.0860488\pi$
$308$	2.04920	+	5.88275i	0.116764	+	0.335201i
$309$	4.63331	−	7.20957i	0.263580	−	0.410138i
$310$	2.37485	+	0.341452i	0.134882	+	0.0193932i
$311$	6.13172	+	0.881609i	0.347698	+	0.0499914i	0.313952	−	0.949439i	$-0.398347\pi$
$311$	6.13172	+	0.881609i	0.347698	+	0.0499914i	0.0337465	+	0.999430i	$0.489256\pi$
$312$	−2.78268	−	1.78832i	−0.157538	−	0.101244i
$313$	−11.5388	−	13.3165i	−0.652210	−	0.752691i	0.329274	−	0.944235i	$-0.393196\pi$
$313$	−11.5388	−	13.3165i	−0.652210	−	0.752691i	−0.981484	+	0.191544i	$0.938651\pi$
$314$	2.79588	+	6.12212i	0.157781	+	0.345491i
$315$	0.215162	+	1.10449i	0.0121230	+	0.0622311i
$316$	0.918213	−	3.12715i	0.0516535	−	0.175916i
$317$	−15.7115	+	18.1320i	−0.882443	+	1.01839i	0.117237	+	0.993104i	$0.462596\pi$
$317$	−15.7115	+	18.1320i	−0.882443	+	1.01839i	−0.999680	+	0.0252897i	$0.991949\pi$
$318$	−10.2522	+	3.01031i	−0.574914	+	0.168810i
$319$	−6.49178	−	2.96470i	−0.363470	−	0.165991i
$320$	−0.0605274	−	0.420977i	−0.00338358	−	0.0235333i
$321$	0.264668			0.0147723
$322$	11.2916	+	5.78791i	0.629256	+	0.322548i
$323$	14.1605			0.787914
$324$	−0.142315	−	0.989821i	−0.00790638	−	0.0549901i
$325$	−14.5001	−	6.62195i	−0.804318	−	0.367320i
$326$	−12.4772	+	3.66365i	−0.691050	+	0.202911i
$327$	11.3209	−	13.0650i	0.626045	−	0.722495i
$328$	−2.17977	+	7.42360i	−0.120357	+	0.409900i
$329$	3.01106	−	0.586574i	0.166005	−	0.0323389i
$330$	0.415991	+	0.910893i	0.0228996	+	0.0501430i
$331$	−22.1251	−	25.5338i	−1.21611	−	1.40346i	−0.888643	−	0.458600i	$-0.848351\pi$
$331$	−22.1251	−	25.5338i	−1.21611	−	1.40346i	−0.327465	−	0.944863i	$-0.606194\pi$
$332$	0.323798	+	0.208093i	0.0177708	+	0.0114206i
$333$	−4.76867	−	0.685631i	−0.261321	−	0.0375723i
$334$	20.1853	+	2.90221i	1.10449	+	0.158802i
$335$	0.257421	−	0.400555i	0.0140644	−	0.0218846i
$336$	0.870333	+	2.49850i	0.0474805	+	0.136305i
$337$	−18.3455	+	8.37811i	−0.999343	+	0.456385i	−0.846800	−	0.531912i	$-0.821474\pi$
$337$	−18.3455	+	8.37811i	−0.999343	+	0.456385i	−0.152543	+	0.988297i	$0.548746\pi$
$338$	−1.73180	+	1.11296i	−0.0941974	+	0.0605370i
$339$	−3.83303	−	1.12548i	−0.208182	−	0.0611277i
$340$	−1.34273	+	1.54959i	−0.0728198	+	0.0840386i
$341$	−12.7444	+	3.74209i	−0.690148	+	0.202646i
$342$	1.22018	−	2.67182i	0.0659797	−	0.144475i
$343$	10.1060	+	15.5200i	0.545672	+	0.837999i
$344$			0.775569i			0.0418159i
$345$	1.89384	+	0.757443i	0.101961	+	0.0407793i
$346$			3.25412i			0.174943i
$347$	−0.559111	−	3.88870i	−0.0300147	−	0.208757i	0.969295	−	0.245900i	$-0.0790834\pi$
$347$	−0.559111	−	3.88870i	−0.0300147	−	0.208757i	−0.999310	+	0.0371431i	$0.988174\pi$
$348$	−2.75717	−	1.25916i	−0.147800	−	0.0674980i
$349$	−2.97522	−	10.1327i	−0.159260	−	0.542389i	−1.00000		0.000949469i	$-0.999698\pi$
$349$	−2.97522	−	10.1327i	−0.159260	−	0.542389i	0.840740	−	0.541439i	$-0.182120\pi$
$350$	5.86509	+	11.3211i	0.313502	+	0.605139i
$351$	3.17379	+	0.931909i	0.169404	+	0.0497416i
$352$	1.27294	+	1.98074i	0.0678481	+	0.105574i
$353$	24.9361	−	11.3879i	1.32722	−	0.606119i	0.379487	−	0.925197i	$-0.376100\pi$
$353$	24.9361	−	11.3879i	1.32722	−	0.606119i	0.947729	+	0.319078i	$0.103373\pi$
$354$	8.00424	+	9.23739i	0.425421	+	0.490962i
$355$	1.72489	+	1.10852i	0.0915476	+	0.0588341i
$356$	−0.162214	+	1.12822i	−0.00859730	+	0.0597955i
$357$	6.35553	−	11.0590i	0.336370	−	0.585307i
$358$	−1.46331	−	0.940414i	−0.0773385	−	0.0497024i
$359$	−22.4799	+	19.4789i	−1.18644	+	1.02806i	−0.187491	+	0.982266i	$0.560035\pi$
$359$	−22.4799	+	19.4789i	−1.18644	+	1.02806i	−0.998951	+	0.0457912i	$0.985419\pi$
$360$	0.176679	+	0.386872i	0.00931178	+	0.0203900i
$361$	−8.72594	+	5.60782i	−0.459260	+	0.295148i
$362$	17.7349	+	5.20742i	0.932124	+	0.273696i
$363$	4.12359	+	3.57311i	0.216433	+	0.187540i
$364$	−8.71358	−	0.814487i	−0.456716	−	0.0426907i
$365$	0.241583	+	0.110327i	0.0126450	+	0.00577479i
$366$	3.77570	−	0.542864i	0.197359	−	0.0283760i
$367$	23.7516			1.23982			0.619910	−	0.784673i	$-0.287169\pi$
$367$	23.7516			1.23982			0.619910	+	0.784673i	$0.287169\pi$
$368$	4.66102	+	1.12909i	0.242973	+	0.0588581i
$369$		−	7.73701i		−	0.402772i
$370$	2.02814	−	0.291603i	0.105438	−	0.0151597i
$371$	−20.4208	+	19.5492i	−1.06020	+	1.01495i
$372$	−5.41277	+	1.58933i	−0.280639	+	0.0824030i
$373$	−25.4096	−	22.0175i	−1.31566	−	1.14003i	−0.980209	−	0.197967i	$-0.936566\pi$
$373$	−25.4096	−	22.0175i	−1.31566	−	1.14003i	−0.335450	−	0.942058i	$-0.608889\pi$
$374$	3.19798	−	10.8913i	0.165364	−	0.563176i
$375$	2.25779	+	3.51318i	0.116592	+	0.181420i
$376$	1.05469	−	0.481660i	0.0543914	−	0.0248397i
$377$	7.57727	−	6.56574i	0.390249	−	0.338153i
$378$	−1.53899	−	2.15210i	−0.0791570	−	0.110692i
$379$	4.14864	+	0.596485i	0.213101	+	0.0306394i	0.248039	−	0.968750i	$-0.420214\pi$
$379$	4.14864	+	0.596485i	0.213101	+	0.0306394i	−0.0349372	+	0.999390i	$0.511123\pi$
$380$	−0.177784	+	1.23652i	−0.00912014	+	0.0634320i
$381$	1.47522	−	2.29548i	0.0755776	−	0.117601i
$382$	12.7170	−	11.0194i	0.650660	−	0.563800i
$383$	1.02631	+	2.24731i	0.0524421	+	0.114832i	0.934039	−	0.357171i	$-0.116259\pi$
$383$	1.02631	+	2.24731i	0.0524421	+	0.114832i	−0.881597	+	0.472003i	$0.843531\pi$
$384$	0.540641	+	0.841254i	0.0275895	+	0.0429300i
$385$	2.08585	+	1.63360i	0.106305	+	0.0832560i
$386$	7.60455	−	8.77612i	0.387061	−	0.446693i
$387$	−0.218503	−	0.744153i	−0.0111071	−	0.0378274i
$388$	−4.72536	+	10.3471i	−0.239894	+	0.525295i
$389$	7.63803	−	1.09818i	0.387263	−	0.0556801i	0.0540664	−	0.998537i	$-0.482782\pi$
$389$	7.63803	−	1.09818i	0.387263	−	0.0556801i	0.333197	+	0.942857i	$0.391873\pi$
$390$	−1.40682			−0.0712371
$391$	−10.6015	−	20.5470i	−0.536139	−	1.03911i
$392$	5.08539	+	4.81028i	0.256851	+	0.242956i
$393$	−1.11591	−	7.76132i	−0.0562902	−	0.391507i
$394$	3.89127	−	8.52069i	0.196039	−	0.429266i
$395$	−0.390522	−	1.33000i	−0.0196493	−	0.0669193i
$396$	−1.77942	−	1.54187i	−0.0894191	−	0.0774821i
$397$	1.08144	−	3.68303i	0.0542757	−	0.184846i	−0.927893	−	0.372846i	$-0.878382\pi$
$397$	1.08144	−	3.68303i	0.0542757	−	0.184846i	0.982169	+	0.187999i	$0.0602003\pi$
$398$	−22.2494	+	14.2988i	−1.11526	+	0.716735i
$399$	−0.385274	−	7.76169i	−0.0192878	−	0.388570i
$400$	3.15585	+	3.64204i	0.157792	+	0.182102i
$401$	10.5587	−	16.4297i	0.527279	−	0.820461i	−0.470812	−	0.882234i	$-0.656039\pi$
$401$	10.5587	−	16.4297i	0.527279	−	0.820461i	0.998090	+	0.0617723i	$0.0196753\pi$
$402$	−0.159325	+	1.10813i	−0.00794640	+	0.0552684i
$403$	2.65561	−	18.4702i	0.132285	−	0.920065i
$404$	4.55966	−	7.09496i	0.226851	−	0.352988i
$405$	−0.278516	−	0.321425i	−0.0138396	−	0.0159717i
$406$	−8.00964	+	0.397582i	−0.397512	+	0.0197317i
$407$	−9.54260	+	6.13266i	−0.473009	+	0.303985i
$408$	1.35824	−	4.62573i	0.0672427	−	0.229008i
$409$	−29.2474	−	25.3430i	−1.44619	−	1.25313i	−0.913509	−	0.406819i	$-0.866638\pi$
$409$	−29.2474	−	25.3430i	−1.44619	−	1.25313i	−0.532684	−	0.846314i	$-0.678816\pi$
$410$	0.927068	+	3.15730i	0.0457846	+	0.155928i
$411$	−6.59310	+	14.4369i	−0.325214	+	0.712119i
$412$	−1.21964	−	8.48280i	−0.0600875	−	0.417918i
$413$	30.0460	+	11.9590i	1.47847	+	0.588465i
$414$	−4.79032	+	0.229805i	−0.235432	+	0.0112943i
$415$	0.163700			0.00803574
$416$	−3.27411	+	0.470746i	−0.160527	+	0.0230802i
$417$	0.351310	−	0.769261i	0.0172037	−	0.0376709i
$418$	−1.94840	−	6.63565i	−0.0952994	−	0.324560i
$419$	23.3582	−	26.9569i	1.14112	−	1.31693i	0.199642	−	0.979869i	$-0.436022\pi$
$419$	23.3582	−	26.9569i	1.14112	−	1.31693i	0.941483	−	0.337059i	$-0.109432\pi$
$420$	0.885897	+	0.693818i	0.0432274	+	0.0338549i
$421$	13.0690	+	20.3358i	0.636946	+	0.991107i	0.998277	+	0.0586698i	$0.0186859\pi$
$421$	13.0690	+	20.3358i	0.636946	+	0.991107i	−0.361332	+	0.932437i	$0.617678\pi$
$422$	−1.86336	−	4.08019i	−0.0907070	−	0.198621i
$423$	−0.876267	+	0.759290i	−0.0426056	+	0.0369179i
$424$	−5.77674	+	8.98879i	−0.280543	+	0.436534i
$425$	3.30640	−	22.9965i	0.160384	−	1.11550i
$426$	−4.77188	−	0.686093i	−0.231198	−	0.0332413i
$427$	8.20923	−	5.87051i	0.397273	−	0.284094i
$428$	0.200022	−	0.173320i	0.00966845	−	0.00837776i
$429$	7.08439	−	3.23533i	0.342037	−	0.156203i
$430$	0.178333	+	0.277491i	0.00859996	+	0.0133818i
$431$	1.44117	−	4.90816i	0.0694185	−	0.236418i	−0.917474	−	0.397795i	$-0.869775\pi$
$431$	1.44117	−	4.90816i	0.0694185	−	0.236418i	0.986893	+	0.161377i	$0.0515936\pi$
$432$	−0.755750	−	0.654861i	−0.0363610	−	0.0315070i
$433$	−11.9554	+	3.51042i	−0.574539	+	0.168700i	−0.556079	−	0.831130i	$-0.687695\pi$
$433$	−11.9554	+	3.51042i	−0.574539	+	0.168700i	−0.0184605	+	0.999830i	$0.505876\pi$
$434$	−10.7814	+	10.3213i	−0.517526	+	0.495437i
$435$	−1.27602	+	0.183464i	−0.0611804	+	0.00879641i
$436$		−	17.2874i		−	0.827918i
$437$	−12.2017	−	7.03919i	−0.583686	−	0.336730i
$438$	−0.624452			−0.0298375
$439$	−26.8367	+	3.85854i	−1.28085	+	0.184158i	−0.748936	−	0.662642i	$-0.769435\pi$
$439$	−26.8367	+	3.85854i	−1.28085	+	0.184158i	−0.531911	+	0.846800i	$0.678526\pi$
$440$	0.910893	+	0.415991i	0.0434251	+	0.0198316i
$441$	−6.23461	−	3.18271i	−0.296886	−	0.151557i
$442$	12.0518	+	10.4430i	0.573247	+	0.496721i
$443$	33.0165	+	9.69453i	1.56866	+	0.460601i	0.946612	−	0.322376i	$-0.104482\pi$
$443$	33.0165	+	9.69453i	1.56866	+	0.460601i	0.622051	+	0.782977i	$0.286300\pi$
$444$	−4.05291	+	2.60465i	−0.192343	+	0.123611i
$445$	0.201382	+	0.440965i	0.00954643	+	0.0209038i
$446$	−1.84711	+	1.60053i	−0.0874634	+	0.0757875i
$447$	−1.66554	−	1.07038i	−0.0787774	−	0.0506272i
$448$	2.29393	+	1.31830i	0.108378	+	0.0622837i
$449$	−0.803836	+	5.59080i	−0.0379354	+	0.263846i	−0.999958	−	0.00912198i	$-0.997096\pi$
$449$	−0.803836	+	5.59080i	−0.0379354	+	0.263846i	0.962023	+	0.272968i	$0.0880054\pi$
$450$	−4.05410	−	2.60541i	−0.191112	−	0.122820i
$451$	−11.9295	−	13.7674i	−0.561738	−	0.648280i
$452$	−3.63384	+	1.65952i	−0.170922	+	0.0780573i
$453$	−8.78023	−	13.6623i	−0.412531	−	0.641911i
$454$	4.94679	+	1.45251i	0.232164	+	0.0681696i
$455$	−3.30492	+	1.71217i	−0.154937	+	0.0802676i
$456$	−0.827520	−	2.81827i	−0.0387522	−	0.131978i
$457$	−31.6362	−	14.4478i	−1.47988	−	0.675838i	−0.498318	−	0.866994i	$-0.666049\pi$
$457$	−31.6362	−	14.4478i	−1.47988	−	0.675838i	−0.981560	+	0.191157i	$0.938776\pi$
$458$	3.11912	+	21.6940i	0.145747	+	1.01369i
$459$			4.82102i			0.225026i
$460$	1.92729	−	0.667767i	0.0898604	−	0.0311348i
$461$		−	12.6514i		−	0.589233i	−0.955616	−	0.294616i	$-0.904808\pi$
$461$		−	12.6514i		−	0.589233i	0.955616	−	0.294616i	$-0.0951919\pi$
$462$	−6.05676	−	1.45655i	−0.281786	−	0.0677649i
$463$	−2.52215	+	5.52273i	−0.117214	+	0.256663i	−0.959141	−	0.282929i	$-0.908694\pi$
$463$	−2.52215	+	5.52273i	−0.117214	+	0.256663i	0.841927	+	0.539592i	$0.181421\pi$
$464$	−2.90831	+	0.853956i	−0.135015	+	0.0396439i
$465$	−1.57119	+	1.81325i	−0.0728621	+	0.0840874i
$466$	−12.9370	−	3.79864i	−0.599294	−	0.175969i
$467$	−5.69136	+	3.65762i	−0.263365	+	0.169254i	−0.665659	−	0.746256i	$-0.731849\pi$
$467$	−5.69136	+	3.65762i	−0.263365	+	0.169254i	0.402294	+	0.915511i	$0.368213\pi$
$468$	3.00886	−	1.37410i	0.139085	−	0.0635179i
$469$	0.974358	+	2.79713i	0.0449917	+	0.129160i
$470$	0.266606	−	0.414846i	0.0122976	−	0.0191354i
$471$	−6.66182	−	0.957825i	−0.306961	−	0.0441343i
$472$	12.0984	+	1.73949i	0.556874	+	0.0800664i
$473$	−1.53620	−	0.987254i	−0.0706345	−	0.0453940i
$474$	2.13430	+	2.46311i	0.0980316	+	0.113135i
$475$	−5.88018	−	12.8758i	−0.269801	−	0.590783i
$476$	−2.43895	−	12.5199i	−0.111789	−	0.573847i
$477$	3.01031	−	10.2522i	0.137833	−	0.469415i
$478$	−1.45723	+	1.68174i	−0.0666523	+	0.0769208i
$479$	−16.2141	+	4.76089i	−0.740842	+	0.217531i	−0.630312	−	0.776342i	$-0.717073\pi$
$479$	−16.2141	+	4.76089i	−0.740842	+	0.217531i	−0.110530	+	0.993873i	$0.535255\pi$
$480$	0.386872	+	0.176679i	0.0176582	+	0.00806424i
$481$	−2.26791	−	15.7737i	−0.103408	−	0.719219i
$482$	−9.30821			−0.423977
$483$	−10.9738	+	6.36991i	−0.499325	+	0.289841i
$484$	5.45630			0.248013
$485$	0.688502	+	4.78864i	0.0312633	+	0.217441i
$486$	0.909632	+	0.415415i	0.0412617	+	0.0188436i
$487$	−21.2957	+	6.25298i	−0.965000	+	0.283350i	−0.726019	−	0.687675i	$-0.758632\pi$
$487$	−21.2957	+	6.25298i	−0.965000	+	0.283350i	−0.238981	+	0.971024i	$0.576813\pi$
$488$	2.49799	−	2.88283i	0.113078	−	0.130500i
$489$	3.66365	−	12.4772i	0.165676	−	0.564240i
$490$	2.92557	+	0.551746i	0.132164	+	0.0249253i
$491$	−4.29270	−	9.39971i	−0.193727	−	0.424203i	0.787695	−	0.616066i	$-0.211274\pi$
$491$	−4.29270	−	9.39971i	−0.193727	−	0.424203i	−0.981422	+	0.191863i	$0.938547\pi$
$492$	−5.06666	−	5.84724i	−0.228423	−	0.263614i
$493$	12.2932	+	7.90034i	0.553656	+	0.355813i
$494$	9.61690	+	1.38270i	0.432685	+	0.0622107i
$495$	−0.991194	−	0.142512i	−0.0445509	−	0.00640545i
$496$	−3.04990	+	4.74574i	−0.136945	+	0.213090i
$497$	−12.0452	+	4.19583i	−0.540299	+	0.188209i
$498$	−0.350117	+	0.159893i	−0.0156891	+	0.00716499i
$499$	35.7920	−	23.0021i	1.60227	−	1.02972i	0.636168	−	0.771550i	$-0.280518\pi$
$499$	35.7920	−	23.0021i	1.60227	−	1.02972i	0.966101	−	0.258166i	$-0.0831180\pi$
$500$	4.00697	+	1.17655i	0.179197	+	0.0526170i
$501$	−13.3545	+	15.4119i	−0.596634	+	0.688553i
$502$	−11.3987	+	3.34696i	−0.508748	+	0.149382i
$503$	13.9343	−	30.5118i	0.621298	−	1.36045i	−0.293274	−	0.956029i	$-0.594745\pi$
$503$	13.9343	−	30.5118i	0.621298	−	1.36045i	0.914572	−	0.404424i	$-0.132528\pi$
$504$	−2.57241	−	0.618623i	−0.114584	−	0.0275557i
$505$		−	3.58695i		−	0.159617i
$506$	−8.16966	+	7.79499i	−0.363185	+	0.346530i
$507$		−	2.05859i		−	0.0914253i
$508$	−0.388326	−	2.70087i	−0.0172292	−	0.119832i
$509$	−37.9637	−	17.3374i	−1.68271	−	0.768469i	−0.999260	−	0.0384728i	$-0.987751\pi$
$509$	−37.9637	−	17.3374i	−1.68271	−	0.768469i	−0.683452	−	0.729996i	$-0.739522\pi$
$510$	−0.577667	−	1.96735i	−0.0255795	−	0.0871158i
$511$	−1.46697	+	0.759988i	−0.0648949	+	0.0336199i
$512$	0.959493	+	0.281733i	0.0424040	+	0.0124509i
$513$	1.58800	+	2.47097i	0.0701119	+	0.109096i
$514$	16.7029	−	7.62795i	0.736733	−	0.336455i
$515$	−2.38689	−	2.75462i	−0.105179	−	0.121383i
$516$	−0.652450	−	0.419304i	−0.0287225	−	0.0184588i
$517$	−0.388516	+	2.70219i	−0.0170869	+	0.118842i
$518$	−6.35116	+	11.0515i	−0.279054	+	0.485573i
$519$	−2.73754	−	1.75931i	−0.120165	−	0.0772251i
$520$	−1.06320	+	0.921271i	−0.0466245	+	0.0404004i
$521$	−9.74584	−	21.3404i	−0.426973	−	0.934940i	−0.993808	−	0.111109i	$-0.964560\pi$
$521$	−9.74584	−	21.3404i	−0.426973	−	0.934940i	0.566835	−	0.823831i	$-0.308168\pi$
$522$	2.54991	−	1.63873i	0.111607	−	0.0717252i
$523$	18.7192	+	5.49645i	0.818533	+	0.240343i	0.664084	−	0.747658i	$-0.268822\pi$
$523$	18.7192	+	5.49645i	0.818533	+	0.240343i	0.154449	+	0.988001i	$0.450640\pi$
$524$	−5.92593	−	5.13485i	−0.258876	−	0.224317i
$525$	−12.6948	−	1.18663i	−0.554048	−	0.0517887i
$526$	28.4340	+	12.9854i	1.23978	+	0.566190i
$527$	26.9199	−	3.87049i	1.17265	−	0.168601i
$528$	−2.35451			−0.102467
$529$	−1.07894	+	22.9747i	−0.0469106	+	0.998899i
$530$			4.54440i			0.197396i
$531$	−12.0984	+	1.73949i	−0.525026	+	0.0754874i
$532$	−5.37399	−	5.61359i	−0.232992	−	0.243380i
$533$	24.5556	−	7.21019i	1.06362	−	0.312308i
$534$	−0.861420	−	0.746425i	−0.0372773	−	0.0323009i
$535$	0.0317132	−	0.108005i	0.00137108	−	0.00466947i
$536$	0.605260	+	0.941803i	0.0261433	+	0.0406797i
$537$	1.58225	−	0.722591i	0.0682792	−	0.0311821i
$538$	−20.4537	+	17.7232i	−0.881820	+	0.764101i
$539$	−16.0013	+	3.94962i	−0.689225	+	0.170122i
$540$	−0.420977	−	0.0605274i	−0.0181160	−	0.00260468i
$541$	−6.10039	+	42.4292i	−0.262276	+	1.82417i	0.253368	+	0.967370i	$0.418462\pi$
$541$	−6.10039	+	42.4292i	−0.262276	+	1.82417i	−0.515645	+	0.856803i	$0.672447\pi$
$542$	5.67775	−	8.83475i	0.243880	−	0.379485i
$543$	−13.9690	+	12.1042i	−0.599465	+	0.519440i
$544$	−2.00272	−	4.38535i	−0.0858660	−	0.188020i
$545$	−3.97504	−	6.18528i	−0.170272	−	0.264948i
$546$	5.39611	−	6.88998i	0.230932	−	0.294864i
$547$	2.53244	−	2.92259i	0.108279	−	0.124961i	−0.699023	−	0.715099i	$-0.746381\pi$
$547$	2.53244	−	2.92259i	0.108279	−	0.124961i	0.807302	+	0.590138i	$0.200927\pi$
$548$	4.47141	+	15.2282i	0.191009	+	0.650518i
$549$	−1.58461	+	3.46982i	−0.0676296	+	0.148088i
$550$	−11.2311	+	1.61480i	−0.478898	+	0.0688551i
$551$	8.90307			0.379283
$552$	−3.46979	+	3.31067i	−0.147684	+	0.140911i
$553$	8.01165	+	3.18883i	0.340690	+	0.135603i
$554$	1.68311	+	11.7063i	0.0715084	+	0.497352i
$555$	−0.851185	+	1.86384i	−0.0361308	+	0.0791154i
$556$	−0.238257	−	0.811428i	−0.0101043	−	0.0344122i
$557$	1.57542	+	1.36511i	0.0667525	+	0.0578414i	0.687598	−	0.726092i	$-0.258665\pi$
$557$	1.57542	+	1.36511i	0.0667525	+	0.0578414i	−0.620846	+	0.783933i	$0.713211\pi$
$558$	1.58933	−	5.41277i	0.0672818	−	0.229141i
$559$	2.15816	−	1.38697i	0.0912805	−	0.0586624i
$560$	1.12387	−	0.0557866i	0.0474922	−	0.00235741i
$561$	7.43340	+	8.57860i	0.313838	+	0.362189i
$562$	3.68971	−	5.74129i	0.155641	−	0.242182i
$563$	−6.13654	+	42.6806i	−0.258624	+	1.79877i	0.284031	+	0.958815i	$0.408328\pi$
$563$	−6.13654	+	42.6806i	−0.258624	+	1.79877i	−0.542655	+	0.839956i	$0.682581\pi$
$564$	−0.165009	+	1.14767i	−0.00694815	+	0.0483255i
$565$	−0.918568	+	1.42932i	−0.0386444	+	0.0601319i
$566$	−17.4227	−	20.1068i	−0.732329	−	0.845153i
$567$	2.64250	−	0.131168i	0.110974	−	0.00550854i
$568$	−4.05564	+	2.60640i	−0.170171	+	0.109362i
$569$	−9.74111	+	33.1752i	−0.408369	+	1.39078i	0.456923	+	0.889506i	$0.348952\pi$
$569$	−9.74111	+	33.1752i	−0.408369	+	1.39078i	−0.865291	+	0.501269i	$0.832867\pi$
$570$	−0.944107	−	0.818073i	−0.0395443	−	0.0342653i
$571$	−1.88617	−	6.42369i	−0.0789336	−	0.268823i	0.910565	−	0.413366i	$-0.135647\pi$
$571$	−1.88617	−	6.42369i	−0.0789336	−	0.268823i	−0.989499	+	0.144543i	$0.953829\pi$
$572$	3.23533	−	7.08439i	0.135276	−	0.296213i
$573$	2.39474	+	16.6558i	0.100042	+	0.695805i
$574$	−19.0190	−	7.57003i	−0.793839	−	0.315967i
$575$	−14.2806	+	18.1718i	−0.595541	+	0.757816i
$576$	−1.00000			−0.0416667
$577$	27.3764	−	3.93614i	1.13970	−	0.163864i	0.453484	−	0.891265i	$-0.350181\pi$
$577$	27.3764	−	3.93614i	1.13970	−	0.163864i	0.686213	+	0.727401i	$0.259272\pi$
$578$	−2.59310	+	5.67809i	−0.107859	+	0.236178i
$579$	3.27161	+	11.1421i	0.135964	+	0.463049i
$580$	−0.844207	+	0.974267i	−0.0350538	+	0.0404542i
$581$	−0.627902	+	0.801733i	−0.0260498	+	0.0332615i
$582$	−6.14981	−	9.56930i	−0.254918	−	0.396660i
$583$	−10.4510	−	22.8844i	−0.432835	−	0.947776i
$584$	−0.471929	+	0.408929i	−0.0195286	+	0.0169216i
$585$	0.760584	−	1.18349i	0.0314463	−	0.0489314i
$586$	0.747312	−	5.19767i	0.0308712	−	0.214714i
$587$	32.8652	+	4.72531i	1.35649	+	0.195034i	0.781899	−	0.623405i	$-0.214251\pi$
$587$	32.8652	+	4.72531i	1.35649	+	0.195034i	0.574594	+	0.818439i	$0.305160\pi$
$588$	−6.79603	+	1.67747i	−0.280264	+	0.0691778i
$589$	12.5227	−	10.8510i	0.515987	−	0.447106i
$590$	4.72867	−	2.15951i	0.194676	−	0.0889056i
$591$	5.06428	+	7.88018i	0.208317	+	0.324147i
$592$	−1.35730	+	4.62255i	−0.0557848	+	0.189986i
$593$	−13.5145	−	11.7104i	−0.554973	−	0.480886i	0.331636	−	0.943408i	$-0.392400\pi$
$593$	−13.5145	−	11.7104i	−0.554973	−	0.480886i	−0.886608	+	0.462521i	$0.846945\pi$
$594$	2.25913	−	0.663341i	0.0926934	−	0.0272172i
$595$	−3.75142	−	3.91868i	−0.153793	−	0.160650i
$596$	−1.95968	+	0.281760i	−0.0802717	+	0.0115413i
$597$		−	26.4479i		−	1.08244i
$598$	−5.19350	−	14.9893i	−0.212378	−	0.612959i
$599$	32.5825			1.33129			0.665643	−	0.746270i	$-0.268157\pi$
$599$	32.5825			1.33129			0.665643	+	0.746270i	$0.268157\pi$
$600$	−4.77006	+	0.685832i	−0.194737	+	0.0279990i
$601$	−27.3293	−	12.4809i	−1.11478	−	0.509105i	−0.229104	−	0.973402i	$-0.573580\pi$
$601$	−27.3293	−	12.4809i	−1.11478	−	0.509105i	−0.885679	+	0.464297i	$0.846307\pi$
$602$	−2.04306	−	0.190971i	−0.0832687	−	0.00778340i
$603$	−0.846079	−	0.733132i	−0.0344550	−	0.0298554i
$604$	−15.5826	−	4.57545i	−0.634045	−	0.186172i
$605$	1.95221	−	1.25461i	0.0793686	−	0.0510071i
$606$	3.50353	+	7.67165i	0.142321	+	0.311640i
$607$	−13.0354	+	11.2953i	−0.529092	+	0.458460i	−0.877976	−	0.478705i	$-0.841106\pi$
$607$	−13.0354	+	11.2953i	−0.529092	+	0.458460i	0.348884	+	0.937166i	$0.386561\pi$
$608$	−2.47097	−	1.58800i	−0.100211	−	0.0644019i
$609$	3.99587	−	6.95309i	0.161921	−	0.281753i
$610$	0.230884	−	1.60583i	0.00934820	−	0.0650182i
$611$	−3.22643	−	2.07350i	−0.130527	−	0.0838849i
$612$	3.15709	+	3.64348i	0.127618	+	0.147279i
$613$	−24.2159	+	11.0590i	−0.978069	+	0.446669i	−0.839308	−	0.543656i	$-0.817039\pi$
$613$	−24.2159	+	11.0590i	−0.978069	+	0.446669i	−0.138762	+	0.990326i	$0.544312\pi$
$614$	14.5059	+	22.5716i	0.585410	+	0.910915i
$615$	−3.15730	−	0.927068i	−0.127315	−	0.0373830i
$616$	−5.53123	+	2.86555i	−0.222860	+	0.115456i
$617$	−5.96783	−	20.3246i	−0.240256	−	0.818237i	−0.988027	−	0.154280i	$-0.950694\pi$
$617$	−5.96783	−	20.3246i	−0.240256	−	0.818237i	0.747771	−	0.663957i	$-0.231124\pi$
$618$	7.79558	+	3.56012i	0.313584	+	0.143209i
$619$	5.14677	+	35.7966i	0.206866	+	1.43879i	0.783301	+	0.621643i	$0.213534\pi$
$619$	5.14677	+	35.7966i	0.206866	+	1.43879i	−0.576435	+	0.817143i	$0.695557\pi$
$620$			2.39927i			0.0963570i
$621$	2.39652	−	4.15412i	0.0961690	−	0.166699i
$622$			6.19478i			0.248388i
$623$	−2.93209	−	0.705120i	−0.117472	−	0.0282500i
$624$	1.37410	−	3.00886i	0.0550081	−	0.120451i
$625$	−21.4153	+	6.28811i	−0.856614	+	0.251524i
$626$	11.5388	−	13.3165i	0.461182	−	0.532233i
$627$	6.63565	+	1.94840i	0.265002	+	0.0778117i
$628$	−5.66191	+	3.63869i	−0.225935	+	0.145200i
$629$	21.1273	−	9.64852i	0.842401	−	0.384712i
$630$	−1.06263	+	0.370158i	−0.0423362	+	0.0147474i
$631$	−16.5362	+	25.7308i	−0.658294	+	1.02433i	0.338233	+	0.941062i	$0.390171\pi$
$631$	−16.5362	+	25.7308i	−0.658294	+	1.02433i	−0.996528	+	0.0832637i	$0.973466\pi$
$632$	3.22599	+	0.463828i	0.128323	+	0.0184501i
$633$	4.43988	+	0.638359i	0.176470	+	0.0253725i
$634$	−20.1834	−	12.9711i	−0.801585	−	0.515148i
$635$	−0.759972	−	0.877054i	−0.0301586	−	0.0348048i
$636$	−4.43871	−	9.71941i	−0.176006	−	0.385400i
$637$	4.29115	−	22.7534i	0.170022	−	0.901521i
$638$	2.01064	−	6.84763i	0.0796022	−	0.271100i
$639$	3.15705	−	3.64343i	0.124891	−	0.144132i
$640$	0.408078	−	0.119823i	0.0161307	−	0.00473641i
$641$	15.8739	+	7.24937i	0.626982	+	0.286333i	0.703456	−	0.710739i	$-0.251639\pi$
$641$	15.8739	+	7.24937i	0.626982	+	0.286333i	−0.0764745	+	0.997072i	$0.524366\pi$
$642$	0.0376661	+	0.261974i	0.00148656	+	0.0103393i
$643$	6.79489			0.267964			0.133982	−	0.990984i	$-0.457224\pi$
$643$	6.79489			0.267964			0.133982	+	0.990984i	$0.457224\pi$
$644$	−4.12204	+	12.0004i	−0.162431	+	0.472881i
$645$	−0.329854			−0.0129880
$646$	2.01526	+	14.0164i	0.0792892	+	0.551468i
$647$	−27.5448	−	12.5793i	−1.08290	−	0.494544i	−0.207644	−	0.978204i	$-0.566580\pi$
$647$	−27.5448	−	12.5793i	−1.08290	−	0.494544i	−0.875255	+	0.483661i	$0.839307\pi$
$648$	0.959493	−	0.281733i	0.0376924	−	0.0110675i
$649$	−18.8460	+	21.7495i	−0.739772	+	0.853742i
$650$	4.49098	−	15.2949i	0.176151	−	0.599914i
$651$	−2.85392	−	14.6500i	−0.111854	−	0.574180i
$652$	−5.40205	−	11.8288i	−0.211561	−	0.463253i
$653$	17.8127	+	20.5570i	0.697065	+	0.804456i	0.988353	−	0.152180i	$-0.0486292\pi$
$653$	17.8127	+	20.5570i	0.697065	+	0.804456i	−0.291288	+	0.956635i	$0.594084\pi$
$654$	14.5431	+	9.34629i	0.568681	+	0.365469i
$655$	−3.30094	−	0.474603i	−0.128978	−	0.0185443i
$656$	−7.65825	−	1.10109i	−0.299005	−	0.0429904i
$657$	0.337604	−	0.525322i	0.0131712	−	0.0204948i
$658$	1.00912	+	2.89693i	0.0393397	+	0.112934i
$659$	23.2389	−	10.6128i	0.905258	−	0.413417i	0.0922942	−	0.995732i	$-0.470580\pi$
$659$	23.2389	−	10.6128i	0.905258	−	0.413417i	0.812964	+	0.582314i	$0.197853\pi$
$660$	−0.842420	+	0.541390i	−0.0327912	+	0.0210736i
$661$	13.6774	+	4.01604i	0.531989	+	0.156206i	0.536685	−	0.843783i	$-0.319677\pi$
$661$	13.6774	+	4.01604i	0.531989	+	0.156206i	−0.00469573	+	0.999989i	$0.501495\pi$
$662$	22.1251	−	25.5338i	0.859918	−	0.992398i
$663$	−15.3009	+	4.49275i	−0.594238	+	0.174484i
$664$	−0.159893	+	0.350117i	−0.00620506	+	0.0135872i
$665$	−3.21354	−	0.772804i	−0.124616	−	0.0299680i
$666$		−	4.81770i		−	0.186682i
$667$	−6.66539	−	12.9184i	−0.258085	−	0.500202i
$668$			20.3929i			0.789024i
$669$	−0.347829	−	2.41921i	−0.0134479	−	0.0935319i
$670$	0.433112	+	0.197796i	0.0167326	+	0.00764152i
$671$	2.53033	+	8.61753i	0.0976825	+	0.332676i
$672$	−2.34921	+	1.21705i	−0.0906228	+	0.0469486i
$673$	−43.3301	−	12.7229i	−1.67025	−	0.490430i	−0.696407	−	0.717647i	$-0.745219\pi$
$673$	−43.3301	−	12.7229i	−1.67025	−	0.490430i	−0.973844	+	0.227217i	$0.927037\pi$
$674$	−10.9037	−	16.9664i	−0.419994	−	0.653523i
$675$	4.38362	−	2.00193i	0.168726	−	0.0770544i
$676$	−1.34809	−	1.55578i	−0.0518497	−	0.0598377i
$677$	18.0683	+	11.6118i	0.694421	+	0.446277i	0.839655	−	0.543120i	$-0.182757\pi$
$677$	18.0683	+	11.6118i	0.694421	+	0.446277i	−0.145234	+	0.989397i	$0.546394\pi$
$678$	0.568526	−	3.95419i	0.0218341	−	0.151860i
$679$	−26.0935	−	14.9957i	−1.00138	−	0.575482i
$680$	−1.72491	−	1.10853i	−0.0661474	−	0.0425103i
$681$	−3.89636	+	3.37622i	−0.149309	+	0.129377i
$682$	−5.51772	−	12.0821i	−0.211284	−	0.462648i
$683$	−15.2010	+	9.76910i	−0.581651	+	0.373804i	−0.798132	−	0.602482i	$-0.794178\pi$
$683$	−15.2010	+	9.76910i	−0.581651	+	0.373804i	0.216481	+	0.976287i	$0.430542\pi$
$684$	2.81827	+	0.827520i	0.107759	+	0.0316410i
$685$	5.10138	+	4.42037i	0.194914	+	0.168894i
$686$	−13.9238	+	12.2118i	−0.531611	+	0.466250i
$687$	−19.9365	−	9.10468i	−0.760624	−	0.347365i
$688$	−0.767674	+	0.110375i	−0.0292673	+	0.00420800i
$689$	35.3436			1.34648
$690$	−0.480211	+	1.98236i	−0.0182813	+	0.0754673i
$691$		−	2.40950i		−	0.0916617i	−0.998949	−	0.0458308i	$-0.985406\pi$
$691$		−	2.40950i		−	0.0916617i	0.998949	−	0.0458308i	$-0.0145935\pi$
$692$	−3.22100	+	0.463109i	−0.122444	+	0.0176048i
$693$	4.49986	−	4.30780i	0.170936	−	0.163640i
$694$	3.76955	−	1.10684i	0.143090	−	0.0420151i
$695$	−0.271824	−	0.235537i	−0.0103109	−	0.00893442i
$696$	0.853956	−	2.90831i	0.0323691	−	0.110239i
$697$	20.1660	+	31.3789i	0.763843	+	1.18856i
$698$	9.60611	−	4.38696i	0.363596	−	0.166049i
$699$	10.1899	−	8.82958i	0.385417	−	0.333966i
$700$	−10.3712	+	7.41656i	−0.391994	+	0.280320i
$701$	22.3022	+	3.20657i	0.842342	+	0.121111i	0.549960	−	0.835191i	$-0.314643\pi$
$701$	22.3022	+	3.20657i	0.842342	+	0.121111i	0.292382	+	0.956302i	$0.405552\pi$
$702$	−0.470746	+	3.27411i	−0.0177672	+	0.123573i
$703$	7.65051	−	11.9044i	0.288544	−	0.448984i
$704$	−1.77942	+	1.54187i	−0.0670643	+	0.0581116i
$705$	0.204853	+	0.448566i	0.00771522	+	0.0168940i
$706$	14.8208	+	23.0616i	0.557789	+	0.867936i
$707$	17.5673	+	13.7584i	0.660686	+	0.517437i
$708$	−8.00424	+	9.23739i	−0.300818	+	0.347162i
$709$	−1.69190	−	5.76208i	−0.0635407	−	0.216400i	0.921602	−	0.388135i	$-0.126881\pi$
$709$	−1.69190	−	5.76208i	−0.0635407	−	0.216400i	−0.985143	+	0.171736i	$0.945062\pi$
$710$	−0.851759	+	1.86509i	−0.0319659	+	0.0699956i
$711$	−3.22599	+	0.463828i	−0.120984	+	0.0173949i
$712$	−1.13982			−0.0427166
$713$	−25.1200	−	10.0467i	−0.940752	−	0.376254i
$714$	11.8510	+	4.71697i	0.443511	+	0.176528i
$715$	−0.471399	−	3.27865i	−0.0176293	−	0.122615i
$716$	0.722591	−	1.58225i	0.0270045	−	0.0591316i
$717$	−0.626927	−	2.13512i	−0.0234130	−	0.0797374i
$718$	−22.4799	−	19.4789i	−0.838941	−	0.726946i
$719$	−12.0169	+	40.9258i	−0.448155	+	1.52628i	0.357512	+	0.933908i	$0.383625\pi$
$719$	−12.0169	+	40.9258i	−0.448155	+	1.52628i	−0.805667	+	0.592368i	$0.798193\pi$
$720$	−0.357790	+	0.229938i	−0.0133341	+	0.00856928i
$721$	22.6463	−	1.12411i	0.843392	−	0.0418642i
$722$	−6.79257	−	7.83904i	−0.252793	−	0.291739i
$723$	5.03240	−	7.83056i	0.187157	−	0.291222i
$724$	−2.63049	+	18.2954i	−0.0977613	+	0.679945i
$725$	2.07881	−	14.4585i	0.0772052	−	0.536974i
$726$	−2.94990	+	4.59013i	−0.109481	+	0.170356i
$727$	19.3676	+	22.3514i	0.718303	+	0.828966i	0.991102	−	0.133105i	$-0.0424948\pi$
$727$	19.3676	+	22.3514i	0.718303	+	0.828966i	−0.272799	+	0.962071i	$0.587949\pi$
$728$	−0.433875	−	8.74080i	−0.0160805	−	0.323956i
$729$	−0.841254	+	0.540641i	−0.0311575	+	0.0200237i
$730$	−0.0748234	+	0.254825i	−0.00276934	+	0.00943150i
$731$	2.82577	+	2.44854i	0.104515	+	0.0905626i
$732$	1.07468	+	3.66001i	0.0397212	+	0.135278i
$733$	−5.25685	+	11.5109i	−0.194166	+	0.425164i	−0.981526	−	0.191329i	$-0.938720\pi$
$733$	−5.25685	+	11.5109i	−0.194166	+	0.425164i	0.787360	+	0.616494i	$0.211447\pi$
$734$	3.38020	+	23.5098i	0.124765	+	0.867762i
$735$	−2.04584	+	2.16285i	−0.0754620	+	0.0797779i
$736$	−0.454269	+	4.77427i	−0.0167446	+	0.175982i
$737$	−2.63593			−0.0970956
$738$	7.65825	−	1.10109i	0.281904	−	0.0405317i
$739$	−9.43043	+	20.6498i	−0.346904	+	0.759614i	0.653093	+	0.757278i	$0.273471\pi$
$739$	−9.43043	+	20.6498i	−0.346904	+	0.759614i	−0.999997	+	0.00233637i	$0.999256\pi$
$740$	0.577270	+	1.96600i	0.0212209	+	0.0722716i
$741$	−6.36249	+	7.34270i	−0.233732	+	0.269741i
$742$	−22.2565	−	17.4308i	−0.817060	−	0.639906i
$743$	20.1027	+	31.2804i	0.737496	+	1.14757i	0.983956	+	0.178413i	$0.0570962\pi$
$743$	20.1027	+	31.2804i	0.737496	+	1.14757i	−0.246460	+	0.969153i	$0.579267\pi$
$744$	−2.34347	−	5.13149i	−0.0859158	−	0.188129i
$745$	−0.636368	+	0.551416i	−0.0233147	+	0.0202023i
$746$	18.1773	−	28.2844i	0.665517	−	1.03557i
$747$	0.0547770	−	0.380982i	0.00200418	−	0.0139394i
$748$	11.2356	+	1.61543i	0.410813	+	0.0590660i
$749$	0.407320	+	0.569590i	0.0148832	+	0.0208124i
$750$	−3.15611	+	2.73478i	−0.115245	+	0.0998602i
$751$	7.95683	−	3.63376i	0.290349	−	0.132598i	−0.264916	−	0.964272i	$-0.585344\pi$
$751$	7.95683	−	3.63376i	0.290349	−	0.132598i	0.555265	+	0.831674i	$0.312617\pi$
$752$	0.626856	+	0.975406i	0.0228591	+	0.0355694i
$753$	3.34696	−	11.3987i	0.121970	−	0.415391i
$754$	7.57727	+	6.56574i	0.275948	+	0.239110i
$755$	−6.62736	+	1.94597i	−0.241194	+	0.0708210i
$756$	1.91117	−	1.82960i	0.0695086	−	0.0665418i
$757$	−6.94153	+	0.998041i	−0.252294	+	0.0362744i	−0.267301	−	0.963613i	$-0.586132\pi$
$757$	−6.94153	+	0.998041i	−0.252294	+	0.0362744i	0.0150073	+	0.999887i	$0.495223\pi$
$758$			4.19130i			0.152235i
$759$	−2.14072	−	11.0870i	−0.0777031	−	0.402434i
$760$	−1.24923			−0.0453144
$761$	−37.8359	+	5.43998i	−1.37155	+	0.197199i	−0.788399	−	0.615165i	$-0.789090\pi$
$761$	−37.8359	+	5.43998i	−1.37155	+	0.197199i	−0.583151	+	0.812364i	$0.698180\pi$
$762$	2.48206	+	1.13352i	0.0899156	+	0.0410631i
$763$	45.5397	+	4.25675i	1.64865	+	0.154105i
$764$	12.7170	+	11.0194i	0.460086	+	0.398667i
$765$	1.96735	+	0.577667i	0.0711298	+	0.0208856i
$766$	−2.07838	+	1.33569i	−0.0750948	+	0.0482605i
$767$	−16.7954	−	36.7768i	−0.606446	−	1.32793i
$768$	−0.755750	+	0.654861i	−0.0272708	+	0.0236303i
$769$	32.4631	+	20.8628i	1.17065	+	0.752330i	0.973644	−	0.228072i	$-0.0732422\pi$
$769$	32.4631	+	20.8628i	1.17065	+	0.752330i	0.197005	+	0.980403i	$0.436879\pi$
$770$	−1.32012	+	2.29711i	−0.0475740	+	0.0827820i
$771$	−2.61322	+	18.1753i	−0.0941128	+	0.654569i
$772$	9.76903	+	6.27818i	0.351595	+	0.225956i
$773$	23.1018	+	26.6609i	0.830913	+	0.958925i	0.999642	−	0.0267375i	$-0.00851183\pi$
$773$	23.1018	+	26.6609i	0.830913	+	0.958925i	−0.168729	+	0.985662i	$0.553966\pi$
$774$	0.705482	−	0.322183i	0.0253580	−	0.0115806i
$775$	−14.6978	−	22.8703i	−0.527962	−	0.821525i
$776$	−10.9143	−	3.20472i	−0.391800	−	0.115043i
$777$	−5.86338	−	11.3178i	−0.210347	−	0.406024i
$778$	2.17401	+	7.40399i	0.0779420	+	0.265446i
$779$	20.6719	+	9.44053i	0.740647	+	0.338242i
$780$	−0.200211	−	1.39250i	−0.00716871	−	0.0498595i
$781$		−	11.3510i		−	0.406169i
$782$	18.8291	−	13.4177i	0.673328	−	0.479816i
$783$			3.03109i			0.108322i
$784$	−4.03759	+	5.71821i	−0.144200	+	0.204222i
$785$	−1.18910	+	2.60378i	−0.0424410	+	0.0929328i
$786$	7.52351	−	2.20910i	0.268355	−	0.0787961i
$787$	3.79758	−	4.38264i	0.135369	−	0.156224i	−0.684017	−	0.729466i	$-0.739769\pi$
$787$	3.79758	−	4.38264i	0.135369	−	0.156224i	0.819387	+	0.573241i	$0.194314\pi$
$788$	8.98775	+	2.63904i	0.320175	+	0.0940119i
$789$	−26.2966	+	16.8998i	−0.936184	+	0.601649i
$790$	1.26088	−	0.575825i	0.0448601	−	0.0204869i
$791$	−3.47685	−	9.98115i	−0.123622	−	0.354889i
$792$	1.27294	−	1.98074i	0.0452320	−	0.0703824i
$793$	−12.4892	−	1.79567i	−0.443504	−	0.0637663i
$794$	3.79945	+	0.546278i	0.134837	+	0.0193867i
$795$	−3.82299	−	2.45689i	−0.135587	−	0.0871367i
$796$	−17.3197	−	19.9880i	−0.613881	−	0.708456i
$797$	7.88165	+	17.2584i	0.279182	+	0.611324i	0.996330	−	0.0855975i	$-0.0272799\pi$
$797$	7.88165	+	17.2584i	0.279182	+	0.611324i	−0.717148	+	0.696921i	$0.754553\pi$
$798$	7.62785	−	1.48596i	0.270023	−	0.0526023i
$799$	1.57483	−	5.36339i	0.0557136	−	0.189743i
$800$	−3.15585	+	3.64204i	−0.111576	+	0.128766i
$801$	1.09365	−	0.321125i	0.0386423	−	0.0113464i
$802$	17.7652	+	8.11308i	0.627310	+	0.286483i
$803$	−0.209242	−	1.45531i	−0.00738399	−	0.0513568i
$804$	−1.11952			−0.0394825
$805$	1.28451	+	5.24143i	0.0452732	+	0.184736i
$806$	18.6601			0.657274
$807$	−3.85162	−	26.7886i	−0.135583	−	0.943003i
$808$	7.67165	+	3.50353i	0.269888	+	0.123254i
$809$	−2.58806	+	0.759923i	−0.0909913	+	0.0267175i	−0.326911	−	0.945055i	$-0.606008\pi$
$809$	−2.58806	+	0.759923i	−0.0909913	+	0.0267175i	0.235920	+	0.971772i	$0.424190\pi$
$810$	0.278516	−	0.321425i	0.00978607	−	0.0112937i
$811$	−5.28838	+	18.0106i	−0.185700	+	0.632436i	0.813038	+	0.582211i	$0.197812\pi$
$811$	−5.28838	+	18.0106i	−0.185700	+	0.632436i	−0.998738	+	0.0502253i	$0.984006\pi$
$812$	−1.53343	−	7.87153i	−0.0538127	−	0.276237i
$813$	4.36264	+	9.55286i	0.153005	+	0.335033i
$814$	−7.42829	−	8.57271i	−0.260361	−	0.300473i
$815$	−4.65270	−	2.99011i	−0.162977	−	0.104739i
$816$	4.77194	+	0.686102i	0.167051	+	0.0240184i
$817$	2.25485	+	0.324199i	0.0788874	+	0.0113423i
$818$	20.9227	−	32.5564i	0.731547	−	1.13831i
$819$	2.87887	+	8.26450i	0.100596	+	0.288785i
$820$	−2.99323	+	1.36696i	−0.104528	+	0.0477364i
$821$	−16.5389	+	10.6289i	−0.577210	+	0.370950i	−0.796435	−	0.604724i	$-0.793283\pi$
$821$	−16.5389	+	10.6289i	−0.577210	+	0.370950i	0.219225	+	0.975674i	$0.429647\pi$
$822$	−15.2282	−	4.47141i	−0.531146	−	0.155958i
$823$	27.1118	−	31.2887i	0.945058	−	1.09066i	−0.0507063	−	0.998714i	$-0.516147\pi$
$823$	27.1118	−	31.2887i	0.945058	−	1.09066i	0.995764	−	0.0919415i	$-0.0293073\pi$
$824$	8.22289	−	2.41446i	0.286458	−	0.0841116i
$825$	4.71356	−	10.3213i	0.164105	−	0.359340i
$826$	−7.56131	+	31.4421i	−0.263092	+	1.09401i
$827$			14.4419i			0.502194i	0.967962	+	0.251097i	$0.0807914\pi$
$827$			14.4419i			0.502194i	−0.967962	+	0.251097i	$0.919209\pi$
$828$	−0.909199	−	4.70886i	−0.0315969	−	0.163644i
$829$			38.0888i			1.32288i	0.749998	+	0.661440i	$0.230054\pi$
$829$			38.0888i			1.32288i	−0.749998	+	0.661440i	$0.769946\pi$
$830$	0.0232970	+	0.162034i	0.000808650	+	0.00562429i
$831$	−10.7579	−	4.91297i	−0.373188	−	0.170429i
$832$	−0.931909	−	3.17379i	−0.0323081	−	0.110031i
$833$	33.5812	−	3.34204i	1.16352	−	0.115795i
$834$	0.811428	+	0.238257i	0.0280975	+	0.00825016i
$835$	4.68909	+	7.29637i	0.162273	+	0.252501i
$836$	6.29082	−	2.87292i	0.217573	−	0.0993620i
$837$	3.69425	+	4.26339i	0.127692	+	0.147364i
$838$	30.0067	+	19.2841i	1.03656	+	0.666159i
$839$	−5.77018	+	40.1325i	−0.199209	+	1.38553i	0.607379	+	0.794412i	$0.292221\pi$
$839$	−5.77018	+	40.1325i	−0.199209	+	1.38553i	−0.806588	+	0.591114i	$0.798688\pi$
$840$	−0.560680	+	0.975621i	−0.0193453	+	0.0336621i
$841$	−16.6674	−	10.7115i	−0.574736	−	0.369361i
$842$	−18.2689	+	15.8301i	−0.629588	+	0.545541i
$843$	2.83508	+	6.20796i	0.0976453	+	0.213813i
$844$	3.77348	−	2.42507i	0.129888	−	0.0834742i
$845$	−0.840067	−	0.246666i	−0.0288992	−	0.00848557i
$846$	−0.876267	−	0.759290i	−0.0301267	−	0.0261049i
$847$	−1.34352	+	14.3733i	−0.0461640	+	0.493874i
$848$	−9.71941	−	4.43871i	−0.333766	−	0.152426i
$849$	26.3343	−	3.78631i	0.903792	−	0.129946i
$850$	23.2330			0.796886
$851$	−23.0010	−	2.18853i	−0.788464	−	0.0750219i
$852$		−	4.82095i		−	0.165163i
$853$	4.02029	−	0.578030i	0.137652	−	0.0197914i	−0.0731444	−	0.997321i	$-0.523303\pi$
$853$	4.02029	−	0.578030i	0.137652	−	0.0197914i	0.210796	+	0.977530i	$0.432394\pi$
$854$	6.97906	+	7.29021i	0.238818	+	0.249466i
$855$	1.19863	−	0.351949i	0.0409923	−	0.0120364i
$856$	0.200022	+	0.173320i	0.00683663	+	0.00592397i
$857$	2.00814	−	6.83911i	0.0685969	−	0.233620i	−0.918058	−	0.396447i	$-0.870243\pi$
$857$	2.00814	−	6.83911i	0.0685969	−	0.233620i	0.986655	+	0.162827i	$0.0520613\pi$
$858$	4.21061	+	6.55184i	0.143748	+	0.223676i
$859$	−11.6770	+	5.33269i	−0.398413	+	0.181949i	−0.604538	−	0.796577i	$-0.706642\pi$
$859$	−11.6770	+	5.33269i	−0.398413	+	0.181949i	0.206124	+	0.978526i	$0.433915\pi$
$860$	−0.249287	+	0.216009i	−0.00850062	+	0.00736583i
$861$	16.6508	−	11.9072i	0.567457	−	0.405795i
$862$	5.06330	+	0.727993i	0.172457	+	0.0247955i
$863$	3.36213	−	23.3841i	0.114448	−	0.796005i	−0.849054	−	0.528306i	$-0.822827\pi$
$863$	3.36213	−	23.3841i	0.114448	−	0.796005i	0.963502	−	0.267700i	$-0.0862634\pi$
$864$	0.540641	−	0.841254i	0.0183930	−	0.0286200i
$865$	−1.04596	+	0.906326i	−0.0355636	+	0.0308160i
$866$	−5.17611	−	11.3341i	−0.175892	−	0.385149i
$867$	−3.37478	−	5.25126i	−0.114614	−	0.178342i
$868$	−11.7506	−	9.20283i	−0.398841	−	0.312364i
$869$	−5.02522	+	5.79942i	−0.170469	+	0.196732i
$870$	−0.363193	−	1.23692i	−0.0123134	−	0.0419355i
$871$	1.53834	−	3.36849i	0.0521246	−	0.114137i
$872$	17.1115	−	2.46026i	0.579468	−	0.0833149i
$873$	11.3750			0.384987
$874$	5.23106	−	13.0793i	0.176943	−	0.442413i
$875$	−4.08600	+	10.2657i	−0.138132	+	0.347045i
$876$	−0.0888687	−	0.618096i	−0.00300260	−	0.0208835i
$877$	1.95674	−	4.28467i	0.0660745	−	0.144683i	−0.873714	−	0.486441i	$-0.838295\pi$
$877$	1.95674	−	4.28467i	0.0660745	−	0.144683i	0.939788	+	0.341758i	$0.111022\pi$
$878$	−7.63853	−	26.0144i	−0.257788	−	0.877945i
$879$	3.96853	+	3.43875i	0.133855	+	0.115986i
$880$	−0.282123	+	0.960823i	−0.00951037	+	0.0323894i
$881$	−29.1799	+	18.7528i	−0.983095	+	0.631797i	−0.930297	−	0.366808i	$-0.880451\pi$
$881$	−29.1799	+	18.7528i	−0.983095	+	0.631797i	−0.0527988	+	0.998605i	$0.516814\pi$
$882$	2.26303	−	6.62410i	0.0762003	−	0.223045i
$883$	−10.1977	−	11.7688i	−0.343181	−	0.396052i	0.557754	−	0.830006i	$-0.311663\pi$
$883$	−10.1977	−	11.7688i	−0.343181	−	0.396052i	−0.900935	+	0.433955i	$0.857118\pi$
$884$	−8.62152	+	13.4153i	−0.289973	+	0.451207i
$885$	−0.739815	+	5.14553i	−0.0248686	+	0.172965i
$886$	−4.89711	+	34.0601i	−0.164522	+	1.14427i
$887$	9.18623	−	14.2941i	0.308443	−	0.479947i	−0.652079	−	0.758151i	$-0.726103\pi$
$887$	9.18623	−	14.2941i	0.308443	−	0.479947i	0.960522	+	0.278204i	$0.0897392\pi$
$888$	−3.15492	−	3.64098i	−0.105872	−	0.122183i
$889$	7.21043	−	0.357911i	0.241830	−	0.0120039i
$890$	−0.407817	+	0.262088i	−0.0136701	+	0.00878522i
$891$	−0.663341	+	2.25913i	−0.0222228	+	0.0756838i
$892$	−1.84711	−	1.60053i	−0.0618460	−	0.0535898i
$893$	−0.959483	−	3.26770i	−0.0321079	−	0.109349i
$894$	0.822453	−	1.80092i	0.0275069	−	0.0602318i
$895$	−0.105284	−	0.732266i	−0.00351925	−	0.0244769i
$896$	−0.978419	+	2.45819i	−0.0326867	+	0.0821224i
$897$	15.4176	+	3.73479i	0.514780	+	0.124701i
$898$	−5.64830			−0.188486
$899$	16.9252	−	2.43347i	0.564485	−	0.0811607i
$900$	2.00193	−	4.38362i	0.0667311	−	0.146121i
$901$	14.5128	+	49.4259i	0.483490	+	1.64662i
$902$	11.9295	−	13.7674i	0.397209	−	0.458403i
$903$	1.26521	−	1.61548i	0.0421037	−	0.0537598i
$904$	−2.15978	−	3.36068i	−0.0718332	−	0.111775i
$905$	3.26565	+	7.15078i	0.108554	+	0.237700i
$906$	12.2737	−	10.6352i	0.407766	−	0.353331i
$907$	−2.28728	+	3.55908i	−0.0759479	+	0.118177i	−0.877150	−	0.480217i	$-0.840558\pi$
$907$	−2.28728	+	3.55908i	−0.0759479	+	0.118177i	0.801202	+	0.598394i	$0.204194\pi$
$908$	−0.733722	+	5.10315i	−0.0243494	+	0.169354i
$909$	−8.34796	−	1.20025i	−0.276884	−	0.0398099i
$910$	−2.16508	−	3.02761i	−0.0717716	−	0.100364i
$911$	8.93371	−	7.74111i	0.295987	−	0.256474i	−0.494189	−	0.869355i	$-0.664535\pi$
$911$	8.93371	−	7.74111i	0.295987	−	0.256474i	0.790176	+	0.612880i	$0.209989\pi$
$912$	2.67182	−	1.22018i	0.0884728	−	0.0404042i
$913$	−0.489956	−	0.762386i	−0.0162152	−	0.0252313i
$914$	9.79840	−	33.3703i	0.324102	−	1.10379i
$915$	1.22609	+	1.06241i	0.0405331	+	0.0351222i
$916$	−21.0293	+	6.17475i	−0.694827	+	0.204020i
$917$	14.9857	−	14.3461i	0.494872	−	0.473751i
$918$	−4.77194	+	0.686102i	−0.157498	+	0.0226447i
$919$		−	5.45586i		−	0.179972i	−0.995943	−	0.0899861i	$-0.971318\pi$
$919$		−	5.45586i		−	0.179972i	0.995943	−	0.0899861i	$-0.0286823\pi$
$920$	0.935253	+	1.81264i	0.0308344	+	0.0597610i
$921$	−26.8309			−0.884108
$922$	12.5226	−	1.80048i	0.412410	−	0.0592956i
$923$	14.5056	+	6.62447i	0.477457	+	0.218047i
$924$	0.579759	−	6.20240i	0.0190727	−	0.204044i
$925$	−17.5463	−	15.2039i	−0.576918	−	0.499903i
$926$	−5.82546	−	1.71051i	−0.191436	−	0.0562108i
$927$	−7.20957	+	4.63331i	−0.236793	+	0.152178i
$928$	−1.25916	−	2.75717i	−0.0413339	−	0.0905086i
$929$	0.913747	−	0.791766i	0.0299791	−	0.0259770i	−0.639742	−	0.768589i	$-0.720959\pi$
$929$	0.913747	−	0.791766i	0.0299791	−	0.0259770i	0.669721	+	0.742612i	$0.266414\pi$
$930$	−2.01839	−	1.29714i	−0.0661858	−	0.0425350i
$931$	16.1110	−	12.7743i	0.528015	−	0.418660i
$932$	1.91885	−	13.3459i	0.0628541	−	0.437160i
$933$	−5.21138	−	3.34915i	−0.170613	−	0.109646i
$934$	−4.43035	−	5.11290i	−0.144966	−	0.167299i
$935$	4.39143	−	2.00550i	0.143615	−	0.0655868i
$936$	1.78832	+	2.78268i	0.0584531	+	0.0909548i
$937$	−14.6790	−	4.31015i	−0.479543	−	0.140806i	0.0330227	−	0.999455i	$-0.489487\pi$
$937$	−14.6790	−	4.31015i	−0.479543	−	0.140806i	−0.512566	+	0.858648i	$0.671305\pi$
$938$	−2.63000	+	1.36251i	−0.0858725	+	0.0444876i
$939$	4.96418	+	16.9065i	0.162000	+	0.551722i
$940$	0.448566	+	0.204853i	0.0146306	+	0.00668157i
$941$	−0.412191	−	2.86685i	−0.0134370	−	0.0934567i	0.981999	−	0.188885i	$-0.0604872\pi$
$941$	−0.412191	−	2.86685i	−0.0134370	−	0.0934567i	−0.995436	+	0.0954278i	$0.969578\pi$
$942$		−	6.73033i		−	0.219286i
$943$	−1.77800	−	37.0628i	−0.0578996	−	1.20693i
$944$			12.2228i			0.397819i
$945$	0.263104	−	1.09406i	0.00855878	−	0.0355899i
$946$	0.758582	−	1.66106i	0.0246636	−	0.0540058i
$947$	5.99279	−	1.75964i	0.194740	−	0.0571807i	−0.182908	−	0.983130i	$-0.558551\pi$
$947$	5.99279	−	1.75964i	0.194740	−	0.0571807i	0.377648	+	0.925949i	$0.376733\pi$
$948$	−2.13430	+	2.46311i	−0.0693188	+	0.0799982i
$949$	1.98188	+	0.581932i	0.0643345	+	0.0188903i
$950$	11.9079	−	7.65275i	0.386344	−	0.248288i
$951$	21.8239	−	9.96666i	0.707690	−	0.323191i
$952$	12.0453	−	4.19589i	0.390391	−	0.135989i
$953$	10.5211	−	16.3711i	0.340812	−	0.530313i	−0.627967	−	0.778240i	$-0.716113\pi$
$953$	10.5211	−	16.3711i	0.340812	−	0.530313i	0.968779	+	0.247926i	$0.0797491\pi$
$954$	10.5762	+	1.52063i	0.342418	+	0.0492323i
$955$	7.08381	+	1.01850i	0.229227	+	0.0329578i
$956$	−1.87200	−	1.20306i	−0.0605450	−	0.0389099i
$957$	4.67355	+	5.39357i	0.151075	+	0.174349i
$958$	−7.01995	−	15.3715i	−0.226804	−	0.496632i
$959$	−41.2163	+	8.02920i	−1.33094	+	0.259276i
$960$	−0.119823	+	0.408078i	−0.00386726	+	0.0131707i
$961$	0.539613	−	0.622747i	0.0174069	−	0.0200886i
$962$	15.2904	−	4.48966i	0.492982	−	0.144753i
$963$	−0.240750	−	0.109947i	−0.00775806	−	0.00354299i
$964$	−1.32470	−	9.21347i	−0.0426656	−	0.296746i
$965$	4.93886			0.158987
$966$	−7.86681	−	9.95557i	−0.253110	−	0.320315i
$967$	−8.15422			−0.262222			−0.131111	−	0.991368i	$-0.541854\pi$
$967$	−8.15422			−0.262222			−0.131111	+	0.991368i	$0.541854\pi$
$968$	0.776512	+	5.40076i	0.0249580	+	0.173587i
$969$	−12.8809	−	5.88250i	−0.413794	−	0.188973i
$970$	−4.64191	+	1.36299i	−0.149043	+	0.0437629i
$971$	21.3721	−	24.6648i	0.685865	−	0.791530i	−0.300906	−	0.953654i	$-0.597289\pi$
$971$	21.3721	−	24.6648i	0.685865	−	0.791530i	0.986770	+	0.162124i	$0.0518344\pi$
$972$	−0.281733	+	0.959493i	−0.00903658	+	0.0307758i
$973$	2.19619	−	0.427831i	0.0704065	−	0.0137156i
$974$	−9.22003	−	20.1890i	−0.295429	−	0.646899i
$975$	10.4389	+	12.0471i	0.334311	+	0.385815i
$976$	3.20899	+	2.06229i	0.102717	+	0.0660123i
$977$	5.75716	+	0.827754i	0.184188	+	0.0264822i	0.233791	−	0.972287i	$-0.424887\pi$
$977$	5.75716	+	0.827754i	0.184188	+	0.0264822i	−0.0496036	+	0.998769i	$0.515796\pi$
$978$	12.8716	+	1.85066i	0.411589	+	0.0591776i
$979$	1.45093	−	2.25769i	0.0463719	−	0.0721560i
$980$	−0.129778	+	2.97431i	−0.00414561	+	0.0950110i
$981$	−15.7252	+	7.18146i	−0.502067	+	0.229286i
$982$	8.69312	−	5.58673i	0.277409	−	0.178280i
$983$	−14.4919	−	4.25522i	−0.462221	−	0.135720i	0.0423273	−	0.999104i	$-0.486523\pi$
$983$	−14.4919	−	4.25522i	−0.462221	−	0.135720i	−0.504548	+	0.863383i	$0.668341\pi$
$984$	5.06666	−	5.84724i	0.161519	−	0.186403i
$985$	3.82255	−	1.12240i	0.121796	−	0.0357627i
$986$	−6.07042	+	13.2924i	−0.193322	+	0.423315i
$987$	−2.98263	−	0.717273i	−0.0949381	−	0.0228311i
$988$			9.71579i			0.309100i
$989$	−1.21771	−	3.51452i	−0.0387209	−	0.111755i
$990$		−	1.00139i		−	0.0318262i
$991$	5.68267	+	39.5238i	0.180516	+	1.25552i	0.855547	+	0.517726i	$0.173221\pi$
$991$	5.68267	+	39.5238i	0.180516	+	1.25552i	−0.675031	+	0.737790i	$0.735870\pi$
$992$	−5.13149	−	2.34347i	−0.162925	−	0.0744053i
$993$	9.51862	+	32.4175i	0.302064	+	1.02874i
$994$	−5.86733	−	11.3254i	−0.186100	−	0.359221i
$995$	−10.7928	−	3.16906i	−0.342156	−	0.100466i
$996$	−0.208093	−	0.323798i	−0.00659367	−	0.0102599i
$997$	35.8999	−	16.3949i	1.13696	−	0.519233i	0.244183	−	0.969729i	$-0.421480\pi$
$997$	35.8999	−	16.3949i	1.13696	−	0.519233i	0.892778	+	0.450496i	$0.148753\pi$
$998$	27.8617	+	32.1541i	0.881947	+	1.01782i
$999$	4.05291	+	2.60465i	0.128228	+	0.0824074i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.s.b.181.4	✓	160
7.6	odd	2	inner	966.2.s.b.181.13	yes	160
23.15	odd	22	inner	966.2.s.b.475.13	yes	160
161.153	even	22	inner	966.2.s.b.475.4	yes	160

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.s.b.181.4	✓	160	1.1	even	1	trivial
966.2.s.b.181.13	yes	160	7.6	odd	2	inner
966.2.s.b.475.4	yes	160	161.153	even	22	inner
966.2.s.b.475.13	yes	160	23.15	odd	22	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.s (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.142315 + 0.989821i) q^{2} +(-0.909632 - 0.415415i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-0.278516 + 0.321425i) q^{5} +(0.281733 - 0.959493i) q^{6} +(-0.505900 - 2.59693i) q^{7} +(-0.415415 - 0.909632i) q^{8} +(0.654861 + 0.755750i) q^{9} +O(q^{10})\)	\(q+(0.142315 + 0.989821i) q^{2} +(-0.909632 - 0.415415i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-0.278516 + 0.321425i) q^{5} +(0.281733 - 0.959493i) q^{6} +(-0.505900 - 2.59693i) q^{7} +(-0.415415 - 0.909632i) q^{8} +(0.654861 + 0.755750i) q^{9} +(-0.357790 - 0.229938i) q^{10} +(2.33054 + 0.335081i) q^{11} +(0.989821 + 0.142315i) q^{12} +(-1.78832 + 2.78268i) q^{13} +(2.49850 - 0.870333i) q^{14} +(0.386872 - 0.176679i) q^{15} +(0.841254 - 0.540641i) q^{16} +(-4.62573 - 1.35824i) q^{17} +(-0.654861 + 0.755750i) q^{18} +(-2.81827 + 0.827520i) q^{19} +(0.176679 - 0.386872i) q^{20} +(-0.618623 + 2.57241i) q^{21} +2.35451i q^{22} +(3.31067 + 3.46979i) q^{23} +1.00000i q^{24} +(0.685832 + 4.77006i) q^{25} +(-3.00886 - 1.37410i) q^{26} +(-0.281733 - 0.959493i) q^{27} +(1.21705 + 2.34921i) q^{28} +(-2.90831 - 0.853956i) q^{29} +(0.229938 + 0.357790i) q^{30} +(-5.13149 + 2.34347i) q^{31} +(0.654861 + 0.755750i) q^{32} +(-1.98074 - 1.27294i) q^{33} +(0.686102 - 4.77194i) q^{34} +(0.975621 + 0.560680i) q^{35} +(-0.841254 - 0.540641i) q^{36} +(-3.64098 + 3.15492i) q^{37} +(-1.22018 - 2.67182i) q^{38} +(2.78268 - 1.78832i) q^{39} +(0.408078 + 0.119823i) q^{40} +(-5.84724 - 5.06666i) q^{41} +(-2.63427 - 0.246234i) q^{42} +(-0.705482 - 0.322183i) q^{43} +(-2.33054 + 0.335081i) q^{44} -0.425306 q^{45} +(-2.96332 + 3.77077i) q^{46} +1.15947i q^{47} +(-0.989821 + 0.142315i) q^{48} +(-6.48813 + 2.62758i) q^{49} +(-4.62391 + 1.35770i) q^{50} +(3.64348 + 3.15709i) q^{51} +(0.931909 - 3.17379i) q^{52} +(-5.77674 - 8.98879i) q^{53} +(0.909632 - 0.415415i) q^{54} +(-0.756798 + 0.655769i) q^{55} +(-2.15210 + 1.53899i) q^{56} +(2.90736 + 0.418015i) q^{57} +(0.431368 - 3.00023i) q^{58} +(-6.60815 + 10.2825i) q^{59} +(-0.321425 + 0.278516i) q^{60} +(1.58461 + 3.46982i) q^{61} +(-3.04990 - 4.74574i) q^{62} +(1.63134 - 2.08296i) q^{63} +(-0.654861 + 0.755750i) q^{64} +(-0.396347 - 1.34983i) q^{65} +(0.978098 - 2.14174i) q^{66} +(-1.10813 + 0.159325i) q^{67} +4.82102 q^{68} +(-1.57009 - 4.53154i) q^{69} +(-0.416128 + 1.04548i) q^{70} +(-0.686093 - 4.77188i) q^{71} +(0.415415 - 0.909632i) q^{72} +(-0.175928 - 0.599157i) q^{73} +(-3.64098 - 3.15492i) q^{74} +(1.35770 - 4.62391i) q^{75} +(2.47097 - 1.58800i) q^{76} +(-0.308836 - 6.22178i) q^{77} +(2.16614 + 2.49985i) q^{78} +(-1.76204 + 2.74179i) q^{79} +(-0.0605274 + 0.420977i) q^{80} +(-0.142315 + 0.989821i) q^{81} +(4.18294 - 6.50878i) q^{82} +(-0.252056 - 0.290888i) q^{83} +(-0.131168 - 2.64250i) q^{84} +(1.72491 - 1.10853i) q^{85} +(0.218503 - 0.744153i) q^{86} +(2.29074 + 1.98494i) q^{87} +(-0.663341 - 2.25913i) q^{88} +(0.473499 - 1.03682i) q^{89} +(-0.0605274 - 0.420977i) q^{90} +(8.13115 + 3.23639i) q^{91} +(-4.15412 - 2.39652i) q^{92} +5.64128 q^{93} +(-1.14767 + 0.165009i) q^{94} +(0.518950 - 1.13634i) q^{95} +(-0.281733 - 0.959493i) q^{96} +(7.44907 - 8.59669i) q^{97} +(-3.52419 - 6.04815i) q^{98} +(1.27294 + 1.98074i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 160 q + 16 q^{2} - 16 q^{4} + 16 q^{8} + 16 q^{9}+O(q^{10}) \) 160 * q + 16 * q^2 - 16 * q^4 + 16 * q^8 + 16 * q^9	\( 160 q + 16 q^{2} - 16 q^{4} + 16 q^{8} + 16 q^{9} + 22 q^{14} - 16 q^{16} - 16 q^{18} - 52 q^{23} - 48 q^{25} + 22 q^{28} - 12 q^{29} + 16 q^{32} + 22 q^{35} + 16 q^{36} + 22 q^{37} - 4 q^{39} + 154 q^{43} + 8 q^{46} + 4 q^{50} + 22 q^{51} + 88 q^{53} + 22 q^{57} + 56 q^{58} - 16 q^{64} + 16 q^{71} - 16 q^{72} + 22 q^{74} - 72 q^{77} + 4 q^{78} + 88 q^{79} - 16 q^{81} - 22 q^{84} - 68 q^{85} - 44 q^{86} + 44 q^{88} - 8 q^{92} - 8 q^{93} - 66 q^{95} + 66 q^{98} - 66 q^{99}+O(q^{100}) \) 160 * q + 16 * q^2 - 16 * q^4 + 16 * q^8 + 16 * q^9 + 22 * q^14 - 16 * q^16 - 16 * q^18 - 52 * q^23 - 48 * q^25 + 22 * q^28 - 12 * q^29 + 16 * q^32 + 22 * q^35 + 16 * q^36 + 22 * q^37 - 4 * q^39 + 154 * q^43 + 8 * q^46 + 4 * q^50 + 22 * q^51 + 88 * q^53 + 22 * q^57 + 56 * q^58 - 16 * q^64 + 16 * q^71 - 16 * q^72 + 22 * q^74 - 72 * q^77 + 4 * q^78 + 88 * q^79 - 16 * q^81 - 22 * q^84 - 68 * q^85 - 44 * q^86 + 44 * q^88 - 8 * q^92 - 8 * q^93 - 66 * q^95 + 66 * q^98 - 66 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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