LMFDB - Embedded newform 297.2.j.c.265.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [297,2,Mod(34,297)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(297, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([16, 0]))

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

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

chi := DirichletCharacter("297.34");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 297 = 3^{3} \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	297.j (of order $9$, degree $6$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$2.37155694003$
Analytic rank:	$0$
Dimension:	$102$
Relative dimension:	$17$ over $\Q(\zeta_{9})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			265.6
Character	$\chi$	$=$	297.265
Dual form			297.2.j.c.232.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.907209 + 0.761239i) q^{2} +(-1.71057 - 0.271944i) q^{3} +(-0.103752 + 0.588409i) q^{4} +(-2.77561 + 1.01024i) q^{5} +(1.75886 - 1.05544i) q^{6} +(0.527622 + 2.99229i) q^{7} +(-1.53807 - 2.66402i) q^{8} +(2.85209 + 0.930359i) q^{9} +O(q^{10})$	\(q+(-0.907209 + 0.761239i) q^{2} +(-1.71057 - 0.271944i) q^{3} +(-0.103752 + 0.588409i) q^{4} +(-2.77561 + 1.01024i) q^{5} +(1.75886 - 1.05544i) q^{6} +(0.527622 + 2.99229i) q^{7} +(-1.53807 - 2.66402i) q^{8} +(2.85209 + 0.930359i) q^{9} +(1.74902 - 3.02940i) q^{10} +(-0.939693 - 0.342020i) q^{11} +(0.337490 - 0.978299i) q^{12} +(-1.58184 - 1.32732i) q^{13} +(-2.75651 - 2.31299i) q^{14} +(5.02259 - 0.973272i) q^{15} +(2.30040 + 0.837278i) q^{16} +(1.73193 - 2.99980i) q^{17} +(-3.29567 + 1.32709i) q^{18} +(-1.13359 - 1.96343i) q^{19} +(-0.306457 - 1.73801i) q^{20} +(-0.0887969 - 5.26200i) q^{21} +(1.11286 - 0.405047i) q^{22} +(1.03427 - 5.86561i) q^{23} +(1.90651 + 4.97526i) q^{24} +(2.85319 - 2.39411i) q^{25} +2.44546 q^{26} +(-4.62570 - 2.36705i) q^{27} -1.81543 q^{28} +(-4.64222 + 3.89528i) q^{29} +(-3.81565 + 4.70636i) q^{30} +(-0.643951 + 3.65203i) q^{31} +(3.05694 - 1.11264i) q^{32} +(1.51440 + 0.840593i) q^{33} +(0.712337 + 4.03986i) q^{34} +(-4.48740 - 7.77240i) q^{35} +(-0.843343 + 1.58167i) q^{36} +(4.52815 - 7.84298i) q^{37} +(2.52304 + 0.918311i) q^{38} +(2.34488 + 2.70064i) q^{39} +(6.96038 + 5.84045i) q^{40} +(3.29839 + 2.76768i) q^{41} +(4.08620 + 4.70614i) q^{42} +(-3.55457 - 1.29376i) q^{43} +(0.298743 - 0.517438i) q^{44} +(-8.85617 + 0.298983i) q^{45} +(3.52684 + 6.10866i) q^{46} +(0.433227 + 2.45695i) q^{47} +(-3.70731 - 2.05780i) q^{48} +(-2.09757 + 0.763453i) q^{49} +(-0.765950 + 4.34392i) q^{50} +(-3.77837 + 4.66037i) q^{51} +(0.945125 - 0.793054i) q^{52} -8.53403 q^{53} +(5.99837 - 1.37385i) q^{54} +2.95374 q^{55} +(7.16000 - 6.00795i) q^{56} +(1.40513 + 3.66685i) q^{57} +(1.24622 - 7.06767i) q^{58} +(-5.48207 + 1.99531i) q^{59} +(0.0515757 + 3.05632i) q^{60} +(-1.35089 - 7.66129i) q^{61} +(-2.19587 - 3.80336i) q^{62} +(-1.27908 + 9.02517i) q^{63} +(-4.37434 + 7.57659i) q^{64} +(5.73146 + 2.08608i) q^{65} +(-2.01377 + 0.390226i) q^{66} +(3.68509 + 3.09216i) q^{67} +(1.58542 + 1.33032i) q^{68} +(-3.36430 + 9.75227i) q^{69} +(9.98766 + 3.63521i) q^{70} +(-8.03249 + 13.9127i) q^{71} +(-1.90823 - 9.02899i) q^{72} +(-6.89908 - 11.9496i) q^{73} +(1.86241 + 10.5622i) q^{74} +(-5.53164 + 3.31938i) q^{75} +(1.27291 - 0.463302i) q^{76} +(0.527622 - 2.99229i) q^{77} +(-4.18313 - 0.665029i) q^{78} +(1.35458 - 1.13663i) q^{79} -7.23087 q^{80} +(7.26887 + 5.30694i) q^{81} -5.09919 q^{82} +(-6.82752 + 5.72897i) q^{83} +(3.10542 + 0.493696i) q^{84} +(-1.77666 + 10.0759i) q^{85} +(4.20959 - 1.53217i) q^{86} +(9.00013 - 5.40072i) q^{87} +(0.534167 + 3.02941i) q^{88} +(-7.06050 - 12.2292i) q^{89} +(7.80680 - 7.01290i) q^{90} +(3.13711 - 5.43363i) q^{91} +(3.34407 + 1.21714i) q^{92} +(2.09467 - 6.07193i) q^{93} +(-2.26336 - 1.89918i) q^{94} +(5.12992 + 4.30451i) q^{95} +(-5.53169 + 1.07192i) q^{96} +(-14.3192 - 5.21177i) q^{97} +(1.32177 - 2.28937i) q^{98} +(-2.36189 - 1.84972i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 102 q - 6 q^{5} - 21 q^{6}+O(q^{10}) $ 102 * q - 6 * q^5 - 21 * q^6	$ 102 q - 6 q^{5} - 21 q^{6} - 18 q^{10} - 9 q^{12} - 21 q^{14} - 27 q^{15} - 33 q^{18} - 30 q^{19} + 27 q^{20} + 18 q^{21} - 12 q^{23} + 105 q^{24} - 6 q^{25} + 18 q^{26} - 39 q^{27} + 72 q^{28} - 18 q^{29} + 36 q^{30} - 12 q^{31} + 96 q^{32} - 3 q^{33} - 24 q^{34} + 9 q^{35} + 39 q^{36} - 48 q^{37} - 15 q^{38} + 90 q^{40} - 54 q^{42} + 30 q^{43} - 60 q^{44} - 75 q^{45} - 42 q^{46} - 30 q^{47} - 39 q^{48} - 36 q^{49} + 66 q^{50} + 30 q^{51} - 84 q^{52} + 36 q^{53} - 36 q^{54} + 12 q^{55} - 48 q^{56} - 15 q^{57} - 75 q^{58} - 42 q^{59} - 84 q^{60} - 42 q^{61} + 105 q^{63} - 114 q^{64} - 57 q^{65} + 54 q^{67} - 6 q^{68} + 204 q^{70} - 30 q^{71} - 90 q^{72} - 69 q^{73} - 117 q^{74} - 72 q^{75} - 60 q^{76} + 189 q^{78} - 18 q^{79} + 84 q^{80} - 60 q^{81} + 84 q^{82} - 6 q^{83} - 72 q^{84} - 39 q^{85} - 132 q^{86} - 69 q^{87} - 9 q^{88} - 15 q^{89} + 138 q^{90} - 69 q^{91} + 102 q^{92} + 108 q^{93} + 123 q^{94} + 66 q^{95} - 117 q^{96} + 66 q^{97} + 57 q^{98}+O(q^{100}) $ 102 * q - 6 * q^5 - 21 * q^6 - 18 * q^10 - 9 * q^12 - 21 * q^14 - 27 * q^15 - 33 * q^18 - 30 * q^19 + 27 * q^20 + 18 * q^21 - 12 * q^23 + 105 * q^24 - 6 * q^25 + 18 * q^26 - 39 * q^27 + 72 * q^28 - 18 * q^29 + 36 * q^30 - 12 * q^31 + 96 * q^32 - 3 * q^33 - 24 * q^34 + 9 * q^35 + 39 * q^36 - 48 * q^37 - 15 * q^38 + 90 * q^40 - 54 * q^42 + 30 * q^43 - 60 * q^44 - 75 * q^45 - 42 * q^46 - 30 * q^47 - 39 * q^48 - 36 * q^49 + 66 * q^50 + 30 * q^51 - 84 * q^52 + 36 * q^53 - 36 * q^54 + 12 * q^55 - 48 * q^56 - 15 * q^57 - 75 * q^58 - 42 * q^59 - 84 * q^60 - 42 * q^61 + 105 * q^63 - 114 * q^64 - 57 * q^65 + 54 * q^67 - 6 * q^68 + 204 * q^70 - 30 * q^71 - 90 * q^72 - 69 * q^73 - 117 * q^74 - 72 * q^75 - 60 * q^76 + 189 * q^78 - 18 * q^79 + 84 * q^80 - 60 * q^81 + 84 * q^82 - 6 * q^83 - 72 * q^84 - 39 * q^85 - 132 * q^86 - 69 * q^87 - 9 * q^88 - 15 * q^89 + 138 * q^90 - 69 * q^91 + 102 * q^92 + 108 * q^93 + 123 * q^94 + 66 * q^95 - 117 * q^96 + 66 * q^97 + 57 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/297\mathbb{Z}\right)^\times$.

$n$	$56$	$244$
$\chi(n)$	$e\left(\frac{7}{9}\right)$	$1$

Coefficient data

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

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

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

$2$	−0.907209	+	0.761239i	−0.641494	+	0.538277i	−0.904477	−	0.426523i	$-0.859738\pi$
$2$	−0.907209	+	0.761239i	−0.641494	+	0.538277i	0.262983	+	0.964801i	$0.415294\pi$
$3$	−1.71057	−	0.271944i	−0.987597	−	0.157007i
$3$	−1.71057	−	0.271944i	−0.987597	−	0.157007i
$4$	−0.103752	+	0.588409i	−0.0518762	+	0.294204i
$5$	−2.77561	+	1.01024i	−1.24129	+	0.451792i	−0.877449	−	0.479669i	$-0.840757\pi$
$5$	−2.77561	+	1.01024i	−1.24129	+	0.451792i	−0.363840	+	0.931462i	$0.618534\pi$
$6$	1.75886	−	1.05544i	0.718051	−	0.430882i
$7$	0.527622	+	2.99229i	0.199422	+	1.13098i	0.905979	+	0.423323i	$0.139136\pi$
$7$	0.527622	+	2.99229i	0.199422	+	1.13098i	−0.706557	+	0.707657i	$0.749752\pi$
$8$	−1.53807	−	2.66402i	−0.543791	−	0.941873i
$9$	2.85209	+	0.930359i	0.950698	+	0.310120i
$10$	1.74902	−	3.02940i	0.553090	−	0.957980i
$11$	−0.939693	−	0.342020i	−0.283328	−	0.103123i
$11$	−0.939693	−	0.342020i	−0.283328	−	0.103123i
$12$	0.337490	−	0.978299i	0.0974250	−	0.282411i
$13$	−1.58184	−	1.32732i	−0.438722	−	0.368132i	0.396509	−	0.918031i	$-0.370222\pi$
$13$	−1.58184	−	1.32732i	−0.438722	−	0.368132i	−0.835231	+	0.549899i	$0.814666\pi$
$14$	−2.75651	−	2.31299i	−0.736709	−	0.618172i
$15$	5.02259	−	0.973272i	1.29683	−	0.251298i
$16$	2.30040	+	0.837278i	0.575101	+	0.209320i
$17$	1.73193	−	2.99980i	0.420056	−	0.727558i	−0.575889	−	0.817528i	$-0.695344\pi$
$17$	1.73193	−	2.99980i	0.420056	−	0.727558i	0.995944	+	0.0899702i	$0.0286772\pi$
$18$	−3.29567	+	1.32709i	−0.776797	+	0.312799i
$19$	−1.13359	−	1.96343i	−0.260062	−	0.450441i	0.706196	−	0.708017i	$-0.250410\pi$
$19$	−1.13359	−	1.96343i	−0.260062	−	0.450441i	−0.966258	+	0.257575i	$0.917077\pi$
$20$	−0.306457	−	1.73801i	−0.0685260	−	0.388630i
$21$	−0.0887969	−	5.26200i	−0.0193771	−	1.14826i
$22$	1.11286	−	0.405047i	0.237262	−	0.0863563i
$23$	1.03427	−	5.86561i	0.215659	−	1.22306i	−0.664100	−	0.747644i	$-0.731185\pi$
$23$	1.03427	−	5.86561i	0.215659	−	1.22306i	0.879759	−	0.475420i	$-0.157704\pi$
$24$	1.90651	+	4.97526i	0.389166	+	1.01557i
$25$	2.85319	−	2.39411i	0.570638	−	0.478822i
$26$	2.44546			0.479595
$27$	−4.62570	−	2.36705i	−0.890216	−	0.455540i
$28$	−1.81543			−0.343084
$29$	−4.64222	+	3.89528i	−0.862038	+	0.723336i	−0.962406	−	0.271615i	$-0.912442\pi$
$29$	−4.64222	+	3.89528i	−0.862038	+	0.723336i	0.100368	+	0.994950i	$0.467998\pi$
$30$	−3.81565	+	4.70636i	−0.696640	+	0.859259i
$31$	−0.643951	+	3.65203i	−0.115657	+	0.655924i	0.870766	+	0.491698i	$0.163624\pi$
$31$	−0.643951	+	3.65203i	−0.115657	+	0.655924i	−0.986423	+	0.164226i	$0.947487\pi$
$32$	3.05694	−	1.11264i	0.540397	−	0.196688i
$33$	1.51440	+	0.840593i	0.263623	+	0.146328i
$34$	0.712337	+	4.03986i	0.122165	+	0.692831i
$35$	−4.48740	−	7.77240i	−0.758508	−	1.31378i
$36$	−0.843343	+	1.58167i	−0.140557	+	0.263612i
$37$	4.52815	−	7.84298i	0.744423	−	1.28938i	−0.206041	−	0.978543i	$-0.566058\pi$
$37$	4.52815	−	7.84298i	0.744423	−	1.28938i	0.950464	−	0.310835i	$-0.100609\pi$
$38$	2.52304	+	0.918311i	0.409291	+	0.148970i
$39$	2.34488	+	2.70064i	0.375482	+	0.432448i
$40$	6.96038	+	5.84045i	1.10053	+	0.923456i
$41$	3.29839	+	2.76768i	0.515122	+	0.432238i	0.862927	−	0.505328i	$-0.168629\pi$
$41$	3.29839	+	2.76768i	0.515122	+	0.432238i	−0.347806	+	0.937567i	$0.613073\pi$
$42$	4.08620	+	4.70614i	0.630514	+	0.726174i
$43$	−3.55457	−	1.29376i	−0.542066	−	0.197296i	0.0564518	−	0.998405i	$-0.482021\pi$
$43$	−3.55457	−	1.29376i	−0.542066	−	0.197296i	−0.598518	+	0.801109i	$0.704243\pi$
$44$	0.298743	−	0.517438i	0.0450372	−	0.0780067i
$45$	−8.85617	+	0.298983i	−1.32020	+	0.0445698i
$46$	3.52684	+	6.10866i	0.520004	+	0.900673i
$47$	0.433227	+	2.45695i	0.0631927	+	0.358383i	0.999964	+	0.00844227i	$0.00268729\pi$
$47$	0.433227	+	2.45695i	0.0631927	+	0.358383i	−0.936772	+	0.349941i	$0.886202\pi$
$48$	−3.70731	−	2.05780i	−0.535104	−	0.297018i
$49$	−2.09757	+	0.763453i	−0.299653	+	0.109065i
$50$	−0.765950	+	4.34392i	−0.108322	+	0.614322i
$51$	−3.77837	+	4.66037i	−0.529078	+	0.652583i
$52$	0.945125	−	0.793054i	0.131065	−	0.109977i
$53$	−8.53403			−1.17224			−0.586120	−	0.810224i	$-0.699345\pi$
$53$	−8.53403			−1.17224			−0.586120	+	0.810224i	$0.699345\pi$
$54$	5.99837	−	1.37385i	0.816274	−	0.186957i
$55$	2.95374			0.398282
$56$	7.16000	−	6.00795i	0.956795	−	0.802847i
$57$	1.40513	+	3.66685i	0.186115	+	0.485686i
$58$	1.24622	−	7.06767i	0.163637	−	0.928031i
$59$	−5.48207	+	1.99531i	−0.713705	+	0.259767i	−0.673251	−	0.739414i	$-0.735103\pi$
$59$	−5.48207	+	1.99531i	−0.713705	+	0.259767i	−0.0404542	+	0.999181i	$0.512880\pi$
$60$	0.0515757	+	3.05632i	0.00665840	+	0.394569i
$61$	−1.35089	−	7.66129i	−0.172964	−	0.980928i	−0.940468	−	0.339883i	$-0.889612\pi$
$61$	−1.35089	−	7.66129i	−0.172964	−	0.980928i	0.767504	−	0.641045i	$-0.221499\pi$
$62$	−2.19587	−	3.80336i	−0.278876	−	0.483027i
$63$	−1.27908	+	9.02517i	−0.161149	+	1.13706i
$64$	−4.37434	+	7.57659i	−0.546793	+	0.947073i
$65$	5.73146	+	2.08608i	0.710900	+	0.258747i
$66$	−2.01377	+	0.390226i	−0.247878	+	0.0480334i
$67$	3.68509	+	3.09216i	0.450205	+	0.377767i	0.839512	−	0.543341i	$-0.182841\pi$
$67$	3.68509	+	3.09216i	0.450205	+	0.377767i	−0.389307	+	0.921108i	$0.627285\pi$
$68$	1.58542	+	1.33032i	0.192260	+	0.161325i
$69$	−3.36430	+	9.75227i	−0.405014	+	1.17404i
$70$	9.98766	+	3.63521i	1.19375	+	0.434491i
$71$	−8.03249	+	13.9127i	−0.953281	+	1.65113i	−0.215029	+	0.976608i	$0.568984\pi$
$71$	−8.03249	+	13.9127i	−0.953281	+	1.65113i	−0.738253	+	0.674524i	$0.764349\pi$
$72$	−1.90823	−	9.02899i	−0.224887	−	1.06408i
$73$	−6.89908	−	11.9496i	−0.807476	−	1.39859i	−0.914607	−	0.404345i	$-0.867500\pi$
$73$	−6.89908	−	11.9496i	−0.807476	−	1.39859i	0.107131	−	0.994245i	$-0.465834\pi$
$74$	1.86241	+	10.5622i	0.216500	+	1.22783i
$75$	−5.53164	+	3.31938i	−0.638739	+	0.383289i
$76$	1.27291	−	0.463302i	0.146013	−	0.0531444i
$77$	0.527622	−	2.99229i	0.0601281	−	0.341003i
$78$	−4.18313	−	0.665029i	−0.473647	−	0.0752998i
$79$	1.35458	−	1.13663i	0.152402	−	0.127881i	−0.563398	−	0.826185i	$-0.690506\pi$
$79$	1.35458	−	1.13663i	0.152402	−	0.127881i	0.715801	+	0.698305i	$0.246062\pi$
$80$	−7.23087			−0.808435
$81$	7.26887	+	5.30694i	0.807652	+	0.589660i
$82$	−5.09919			−0.563112
$83$	−6.82752	+	5.72897i	−0.749418	+	0.628836i	−0.935349	−	0.353727i	$-0.884914\pi$
$83$	−6.82752	+	5.72897i	−0.749418	+	0.628836i	0.185931	+	0.982563i	$0.440470\pi$
$84$	3.10542	+	0.493696i	0.338829	+	0.0538667i
$85$	−1.77666	+	10.0759i	−0.192706	+	1.09289i
$86$	4.20959	−	1.53217i	0.453932	−	0.165218i
$87$	9.00013	−	5.40072i	0.964915	−	0.579018i
$88$	0.534167	+	3.02941i	0.0569424	+	0.322936i
$89$	−7.06050	−	12.2292i	−0.748412	−	1.29629i	−0.948584	−	0.316527i	$-0.897483\pi$
$89$	−7.06050	−	12.2292i	−0.748412	−	1.29629i	0.200172	−	0.979761i	$-0.435850\pi$
$90$	7.80680	−	7.01290i	0.822909	−	0.739225i
$91$	3.13711	−	5.43363i	0.328859	−	0.569600i
$92$	3.34407	+	1.21714i	0.348643	+	0.126896i
$93$	2.09467	−	6.07193i	0.217207	−	0.629630i
$94$	−2.26336	−	1.89918i	−0.233447	−	0.195886i
$95$	5.12992	+	4.30451i	0.526319	+	0.441634i
$96$	−5.53169	+	1.07192i	−0.564576	+	0.109403i
$97$	−14.3192	−	5.21177i	−1.45390	−	0.529175i	−0.510219	−	0.860044i	$-0.670436\pi$
$97$	−14.3192	−	5.21177i	−1.45390	−	0.529175i	−0.943676	+	0.330870i	$0.892658\pi$
$98$	1.32177	−	2.28937i	0.133518	−	0.231261i
$99$	−2.36189	−	1.84972i	−0.237379	−	0.185904i
$100$	1.11269	+	1.92724i	0.111269	+	0.192724i
$101$	−1.58144	−	8.96879i	−0.157359	−	0.892428i	−0.956597	−	0.291414i	$-0.905874\pi$
$101$	−1.58144	−	8.96879i	−0.157359	−	0.892428i	0.799238	−	0.601015i	$-0.205237\pi$
$102$	−0.119884	−	7.10418i	−0.0118703	−	0.703418i
$103$	−14.2054	+	5.17035i	−1.39970	+	0.509450i	−0.928090	−	0.372356i	$-0.878550\pi$
$103$	−14.2054	+	5.17035i	−1.39970	+	0.509450i	−0.471612	+	0.881806i	$0.656328\pi$
$104$	−1.10302	+	6.25555i	−0.108160	+	0.613407i
$105$	5.56234	+	14.5155i	0.542829	+	1.41657i
$106$	7.74215	−	6.49644i	0.751984	−	0.630990i
$107$	5.07430			0.490551			0.245276	−	0.969453i	$-0.421122\pi$
$107$	5.07430			0.490551			0.245276	+	0.969453i	$0.421122\pi$
$108$	1.87272	−	2.47621i	0.180203	−	0.238274i
$109$	13.4444			1.28774			0.643871	−	0.765134i	$-0.277327\pi$
$109$	13.4444			1.28774			0.643871	+	0.765134i	$0.277327\pi$
$110$	−2.67966	+	2.24850i	−0.255496	+	0.214386i
$111$	−9.87856	+	12.1846i	−0.937632	+	1.15651i
$112$	−1.29164	+	7.32524i	−0.122048	+	0.692170i
$113$	8.50736	−	3.09642i	0.800305	−	0.291287i	0.0906921	−	0.995879i	$-0.471092\pi$
$113$	8.50736	−	3.09642i	0.800305	−	0.291287i	0.709613	+	0.704592i	$0.248870\pi$
$114$	−4.06610	−	2.25696i	−0.380825	−	0.211384i
$115$	3.05495	+	17.3255i	0.284875	+	1.61561i
$116$	−1.81038	−	3.13567i	−0.168089	−	0.291139i
$117$	−3.27666	−	5.25731i	−0.302927	−	0.486038i
$118$	3.45448	−	5.98333i	0.318011	−	0.550811i
$119$	9.89007	+	3.59969i	0.906622	+	0.329983i
$120$	−10.3179	−	11.8833i	−0.941894	−	1.08479i
$121$	0.766044	+	0.642788i	0.0696404	+	0.0584352i
$122$	7.05762	+	5.92204i	0.638967	+	0.536157i
$123$	−4.88947	−	5.63128i	−0.440868	−	0.507755i
$124$	−2.08208	−	0.757814i	−0.186976	−	0.0680537i
$125$	1.88364	−	3.26256i	0.168478	−	0.291812i
$126$	−5.70992	−	9.16140i	−0.508680	−	0.816163i
$127$	−6.24807	−	10.8220i	−0.554427	−	0.960295i	−0.997948	−	0.0640312i	$-0.979604\pi$
$127$	−6.24807	−	10.8220i	−0.554427	−	0.960295i	0.443521	−	0.896264i	$-0.353729\pi$
$128$	−0.669347	−	3.79605i	−0.0591624	−	0.335527i
$129$	5.72850	+	3.17970i	0.504366	+	0.279957i
$130$	−6.78764	+	2.47050i	−0.595316	+	0.216677i
$131$	3.75790	−	21.3121i	0.328329	−	1.86205i	−0.156836	−	0.987625i	$-0.550129\pi$
$131$	3.75790	−	21.3121i	0.328329	−	1.86205i	0.485165	−	0.874423i	$-0.338760\pi$
$132$	−0.651735	+	0.803872i	−0.0567262	+	0.0699681i
$133$	5.27705	−	4.42797i	0.457578	−	0.383953i
$134$	−5.69701			−0.492147
$135$	15.2304	+	1.89695i	1.31082	+	0.163264i
$136$	−10.6554			−0.913690
$137$	−3.52638	+	2.95899i	−0.301279	+	0.252803i	−0.780877	−	0.624685i	$-0.785227\pi$
$137$	−3.52638	+	2.95899i	−0.301279	+	0.252803i	0.479597	+	0.877489i	$0.340783\pi$
$138$	−4.37168	−	11.4084i	−0.372142	−	0.971146i
$139$	0.0933074	−	0.529173i	0.00791423	−	0.0448838i	−0.980595	−	0.196045i	$-0.937190\pi$
$139$	0.0933074	−	0.529173i	0.00791423	−	0.0448838i	0.988509	+	0.151161i	$0.0483012\pi$
$140$	5.03893	−	1.83402i	0.425867	−	0.155003i
$141$	−0.0729106	−	4.32060i	−0.00614018	−	0.363860i
$142$	−3.30373	−	18.7364i	−0.277243	−	1.57232i
$143$	1.03247	+	1.78829i	0.0863395	+	0.149544i
$144$	5.78199	+	4.52820i	0.481833	+	0.377350i
$145$	8.94980	−	15.5015i	0.743241	−	1.28733i
$146$	15.3554	+	5.58890i	1.27082	+	0.462541i
$147$	3.79566	−	0.735517i	0.313060	−	0.0606645i
$148$	4.14507	+	3.47813i	0.340723	+	0.285901i
$149$	11.0603	+	9.28071i	0.906097	+	0.760306i	0.971372	−	0.237562i	$-0.0763482\pi$
$149$	11.0603	+	9.28071i	0.906097	+	0.760306i	−0.0652756	+	0.997867i	$0.520793\pi$
$150$	2.49151	−	7.22227i	0.203431	−	0.589696i
$151$	6.24849	+	2.27427i	0.508495	+	0.185077i	0.583511	−	0.812105i	$-0.301679\pi$
$151$	6.24849	+	2.27427i	0.508495	+	0.185077i	−0.0750159	+	0.997182i	$0.523901\pi$
$152$	−3.48708	+	6.03979i	−0.282839	+	0.489892i
$153$	7.73053	−	6.94438i	0.624976	−	0.561420i
$154$	1.79919	+	3.11628i	0.144982	+	0.251117i
$155$	−1.90206	−	10.7871i	−0.152777	−	0.866444i
$156$	−1.83237	+	1.09955i	−0.146707	+	0.0880346i
$157$	−19.6989	+	7.16981i	−1.57214	+	0.572213i	−0.973477	−	0.228785i	$-0.926525\pi$
$157$	−19.6989	+	7.16981i	−1.57214	+	0.572213i	−0.598666	+	0.800999i	$0.704302\pi$
$158$	−0.363642	+	2.06232i	−0.0289298	+	0.164069i
$159$	14.5980	+	2.32078i	1.15770	+	0.184050i
$160$	−7.36085	+	6.17648i	−0.581926	+	0.488294i
$161$	18.0973			1.42627
$162$	−10.6342	+	0.718839i	−0.835504	+	0.0564774i
$163$	1.81258			0.141973			0.0709863	−	0.997477i	$-0.477385\pi$
$163$	1.81258			0.141973			0.0709863	+	0.997477i	$0.477385\pi$
$164$	−1.97074	+	1.65365i	−0.153889	+	0.129128i
$165$	−5.05257	−	0.803252i	−0.393342	−	0.0625331i
$166$	1.83288	−	10.3948i	0.142259	−	0.806789i
$167$	3.67948	−	1.33922i	0.284727	−	0.103632i	−0.195709	−	0.980662i	$-0.562701\pi$
$167$	3.67948	−	1.33922i	0.284727	−	0.103632i	0.480436	+	0.877030i	$0.340479\pi$
$168$	−13.8815	+	8.32990i	−1.07098	+	0.642666i
$169$	−1.51699	−	8.60330i	−0.116692	−	0.661793i
$170$	−6.05839	−	10.4934i	−0.464657	−	0.804810i
$171$	−1.40640	−	6.65452i	−0.107550	−	0.508884i
$172$	1.13005	−	1.95731i	0.0861657	−	0.149243i
$173$	−2.00845	−	0.731015i	−0.152699	−	0.0555780i	0.264540	−	0.964375i	$-0.414780\pi$
$173$	−2.00845	−	0.731015i	−0.152699	−	0.0555780i	−0.417239	+	0.908797i	$0.637002\pi$
$174$	−4.05376	+	11.7508i	−0.307315	+	0.890829i
$175$	8.66927	+	7.27438i	0.655335	+	0.549892i
$176$	−1.87531	−	1.57357i	−0.141357	−	0.118612i
$177$	9.92008	−	1.92230i	0.745639	−	0.144489i
$178$	15.7147	+	5.71967i	1.17786	+	0.428707i
$179$	−8.91662	+	15.4440i	−0.666459	+	1.15434i	0.312428	+	0.949941i	$0.398858\pi$
$179$	−8.91662	+	15.4440i	−0.666459	+	1.15434i	−0.978888	+	0.204400i	$0.934476\pi$
$180$	0.742924	−	5.24207i	0.0553743	−	0.390721i
$181$	−3.68015	−	6.37421i	−0.273544	−	0.473791i	0.696223	−	0.717825i	$-0.254862\pi$
$181$	−3.68015	−	6.37421i	−0.273544	−	0.473791i	−0.969767	+	0.244034i	$0.921529\pi$
$182$	1.29028	+	7.31754i	0.0956418	+	0.542412i
$183$	0.227351	+	13.4725i	0.0168062	+	0.995918i
$184$	−17.2169	+	6.26643i	−1.26924	+	0.461967i
$185$	−4.64508	+	26.3435i	−0.341513	+	1.93682i
$186$	2.72188	+	7.10306i	0.199578	+	0.520822i
$187$	−2.65348	+	2.22653i	−0.194041	+	0.162820i
$188$	−1.49064			−0.108716
$189$	4.64229	−	15.0903i	0.337677	−	1.09766i
$190$	−7.93068			−0.575352
$191$	−15.0984	+	12.6691i	−1.09248	+	0.916700i	−0.996897	−	0.0787209i	$-0.974916\pi$
$191$	−15.0984	+	12.6691i	−1.09248	+	0.916700i	−0.0955843	+	0.995421i	$0.530472\pi$
$192$	9.54303	−	11.7707i	0.688709	−	0.849477i
$193$	4.34091	−	24.6185i	0.312466	−	1.77208i	−0.273626	−	0.961836i	$-0.588223\pi$
$193$	4.34091	−	24.6185i	0.312466	−	1.77208i	0.586092	−	0.810244i	$-0.300666\pi$
$194$	16.9579	−	6.17218i	1.21751	−	0.443137i
$195$	−9.23676	−	5.12702i	−0.661458	−	0.367154i
$196$	−0.231595	−	1.31344i	−0.0165425	−	0.0938171i
$197$	12.3361	+	21.3667i	0.878909	+	1.52232i	0.852539	+	0.522663i	$0.175061\pi$
$197$	12.3361	+	21.3667i	0.878909	+	1.52232i	0.0263700	+	0.999652i	$0.491605\pi$
$198$	3.55081	−	0.119875i	0.252345	−	0.00851913i
$199$	−5.86743	+	10.1627i	−0.415931	+	0.720414i	−0.995526	−	0.0944912i	$-0.969878\pi$
$199$	−5.86743	+	10.1627i	−0.415931	+	0.720414i	0.579595	+	0.814905i	$0.303211\pi$
$200$	−10.7664	−	3.91864i	−0.761297	−	0.277089i
$201$	−5.46270	−	6.29148i	−0.385309	−	0.443767i
$202$	8.26209	+	6.93272i	0.581319	+	0.487784i
$203$	−14.1051	−	11.8356i	−0.989987	−	0.830698i
$204$	−2.35019	−	2.70675i	−0.164546	−	0.189511i
$205$	−11.9510	−	4.34982i	−0.834697	−	0.303805i
$206$	8.95142	−	15.5043i	0.623675	−	1.08024i
$207$	8.40694	−	15.7670i	0.584323	−	1.09588i
$208$	−2.52753	−	4.37780i	−0.175252	−	0.303546i
$209$	0.393690	+	2.23273i	0.0272321	+	0.154441i
$210$	−16.0960	−	8.93437i	−1.11073	−	0.616530i
$211$	−22.3472	+	8.13370i	−1.53844	+	0.559947i	−0.965671	−	0.259768i	$-0.916354\pi$
$211$	−22.3472	+	8.13370i	−1.53844	+	0.559947i	−0.572771	+	0.819715i	$0.694132\pi$
$212$	0.885426	−	5.02150i	0.0608113	−	0.344878i
$213$	17.5236	−	21.6142i	1.20070	−	1.48098i
$214$	−4.60345	+	3.86276i	−0.314686	+	0.264053i
$215$	11.1731			0.761997
$216$	0.808779	+	15.9636i	0.0550305	+	1.08619i
$217$	−11.2677			−0.764901
$218$	−12.1969	+	10.2344i	−0.826079	+	0.693162i
$219$	8.55174	+	22.3167i	0.577873	+	1.50802i
$220$	−0.306457	+	1.73801i	−0.0206614	+	0.117176i
$221$	−6.72132	+	2.44636i	−0.452125	+	0.164560i
$222$	−0.313437	−	18.5739i	−0.0210365	−	1.24660i
$223$	2.75652	+	15.6330i	0.184590	+	1.04686i	0.926481	+	0.376342i	$0.122818\pi$
$223$	2.75652	+	15.6330i	0.184590	+	1.04686i	−0.741891	+	0.670521i	$0.766071\pi$
$224$	4.94224	+	8.56022i	0.330218	+	0.571954i
$225$	10.3649	−	4.17373i	0.690996	−	0.278249i
$226$	−5.36084	+	9.28524i	−0.356597	+	0.617645i
$227$	−14.2833	−	5.19870i	−0.948016	−	0.345050i	−0.178690	−	0.983905i	$-0.557186\pi$
$227$	−14.2833	−	5.19870i	−0.948016	−	0.345050i	−0.769326	+	0.638856i	$0.779408\pi$
$228$	−2.30339	+	0.446349i	−0.152546	+	0.0295602i
$229$	5.06737	+	4.25203i	0.334861	+	0.280982i	0.794677	−	0.607032i	$-0.207640\pi$
$229$	5.06737	+	4.25203i	0.334861	+	0.280982i	−0.459816	+	0.888014i	$0.652085\pi$
$230$	−15.9603	−	13.3923i	−1.05239	−	0.883061i
$231$	−1.71627	+	4.97504i	−0.112922	+	0.327333i
$232$	17.5172	+	6.37573i	1.15006	+	0.418587i
$233$	9.62162	−	16.6651i	0.630333	−	1.09177i	−0.357150	−	0.934047i	$-0.616251\pi$
$233$	9.62162	−	16.6651i	0.630333	−	1.09177i	0.987483	−	0.157723i	$-0.0504152\pi$
$234$	6.97469	+	2.27516i	0.455949	+	0.148732i
$235$	−3.68457	−	6.38187i	−0.240355	−	0.416307i
$236$	−0.605281	−	3.43272i	−0.0394004	−	0.223451i
$237$	−2.62620	+	1.57591i	−0.170590	+	0.102366i
$238$	−11.7126	+	4.26304i	−0.759215	+	0.276332i
$239$	1.88825	−	10.7088i	0.122141	−	0.692696i	−0.860824	−	0.508903i	$-0.830051\pi$
$239$	1.88825	−	10.7088i	0.122141	−	0.692696i	0.982965	−	0.183793i	$-0.0588377\pi$
$240$	12.3689	+	1.96639i	0.798409	+	0.126930i
$241$	−17.6789	+	14.8343i	−1.13880	+	0.955562i	−0.999399	−	0.0346742i	$-0.988961\pi$
$241$	−17.6789	+	14.8343i	−1.13880	+	0.955562i	−0.139396	+	0.990237i	$0.544516\pi$
$242$	−1.18428			−0.0761283
$243$	−10.9907	−	11.0546i	−0.705054	−	0.709154i
$244$	4.64813			0.297566
$245$	5.05076	−	4.23809i	0.322681	−	0.270762i
$246$	8.72252	+	1.38670i	0.556128	+	0.0884125i
$247$	−0.812947	+	4.61045i	−0.0517266	+	0.293356i
$248$	10.7195	−	3.90159i	0.680690	−	0.247751i
$249$	13.2369	−	7.94309i	0.838855	−	0.503373i
$250$	0.774733	+	4.39373i	0.0489984	+	0.277884i
$251$	4.71234	+	8.16202i	0.297441	+	0.515182i	0.975550	−	0.219779i	$-0.0705337\pi$
$251$	4.71234	+	8.16202i	0.297441	+	0.515182i	−0.678109	+	0.734961i	$0.737200\pi$
$252$	−5.17778	−	1.68900i	−0.326170	−	0.106397i
$253$	−2.97805	+	5.15813i	−0.187228	+	0.324289i
$254$	13.9064	+	5.06152i	0.872566	+	0.317588i
$255$	5.77919	−	16.7524i	0.361907	−	1.04908i
$256$	−9.90683	−	8.31282i	−0.619177	−	0.519551i
$257$	−15.5312	−	13.0322i	−0.968812	−	0.812929i	0.0135524	−	0.999908i	$-0.495686\pi$
$257$	−15.5312	−	13.0322i	−0.968812	−	0.812929i	−0.982364	+	0.186979i	$0.940130\pi$
$258$	−7.61746	+	1.47610i	−0.474243	+	0.0918981i
$259$	25.8576	+	9.41141i	1.60672	+	0.584796i
$260$	−1.82212	+	3.15601i	−0.113003	+	0.195727i
$261$	−16.8640	+	6.79078i	−1.04386	+	0.420339i
$262$	12.8144	+	22.1952i	0.791677	+	1.37122i
$263$	−0.0602616	−	0.341760i	−0.00371589	−	0.0210739i	0.982893	−	0.184175i	$-0.0589614\pi$
$263$	−0.0602616	−	0.341760i	−0.00371589	−	0.0210739i	−0.986609	+	0.163101i	$0.947850\pi$
$264$	−0.0898985	−	5.32728i	−0.00553287	−	0.327871i
$265$	23.6871	−	8.62140i	1.45509	−	0.529609i
$266$	−1.41664	+	8.03419i	−0.0868600	+	0.492608i
$267$	8.75183	+	22.8389i	0.535603	+	1.39772i
$268$	−2.20179	+	1.84752i	−0.134496	+	0.112855i
$269$	−8.63038			−0.526203			−0.263102	−	0.964768i	$-0.584745\pi$
$269$	−8.63038			−0.526203			−0.263102	+	0.964768i	$0.584745\pi$
$270$	−15.2612	+	9.87304i	−0.928767	+	0.600854i
$271$	−8.18031			−0.496918			−0.248459	−	0.968642i	$-0.579924\pi$
$271$	−8.18031			−0.496918			−0.248459	+	0.968642i	$0.579924\pi$
$272$	6.49581	−	5.45064i	0.393867	−	0.330493i
$273$	−6.84389	+	8.44149i	−0.414211	+	0.510902i
$274$	0.946672	−	5.36884i	0.0571905	−	0.324344i
$275$	−3.49995	+	1.27388i	−0.211055	+	0.0768178i
$276$	−5.38927	−	2.99141i	−0.324396	−	0.180061i
$277$	3.46827	+	19.6695i	0.208388	+	1.18183i	0.892018	+	0.451999i	$0.149289\pi$
$277$	3.46827	+	19.6695i	0.208388	+	1.18183i	−0.683630	+	0.729828i	$0.739600\pi$
$278$	0.318178	+	0.551100i	0.0190830	+	0.0330528i
$279$	−5.23431	+	9.81682i	−0.313370	+	0.587718i
$280$	−13.8039	+	23.9090i	−0.824940	+	1.42884i
$281$	19.5183	+	7.10406i	1.16436	+	0.423793i	0.850653	−	0.525727i	$-0.176207\pi$
$281$	19.5183	+	7.10406i	1.16436	+	0.423793i	0.313708	+	0.949520i	$0.398429\pi$
$282$	3.35516	+	3.86419i	0.199797	+	0.230109i
$283$	7.32359	+	6.14522i	0.435342	+	0.365295i	0.833963	−	0.551820i	$-0.186067\pi$
$283$	7.32359	+	6.14522i	0.435342	+	0.365295i	−0.398621	+	0.917116i	$0.630511\pi$
$284$	−7.35296	−	6.16986i	−0.436318	−	0.366114i
$285$	−7.60449	−	8.75822i	−0.450451	−	0.518792i
$286$	−2.29798	−	0.836397i	−0.135883	−	0.0494572i
$287$	−6.54139	+	11.3300i	−0.386126	+	0.668790i
$288$	9.75384	−	0.329288i	0.574751	−	0.0194035i
$289$	2.50081	+	4.33152i	0.147106	+	0.254796i
$290$	3.68101	+	20.8761i	0.216156	+	1.22588i
$291$	23.0767	+	12.8091i	1.35278	+	0.750884i
$292$	7.74702	−	2.81968i	0.453360	−	0.165010i
$293$	−4.28231	+	24.2862i	−0.250176	+	1.41882i	0.557984	+	0.829852i	$0.311575\pi$
$293$	−4.28231	+	24.2862i	−0.250176	+	1.41882i	−0.808159	+	0.588964i	$0.799536\pi$
$294$	−2.88355	+	3.55667i	−0.168172	+	0.207429i
$295$	13.2003	−	11.0764i	0.768554	−	0.644893i
$296$	−27.8585			−1.61924
$297$	3.53715	+	3.80638i	0.205246	+	0.220869i
$298$	−17.0989			−0.990511
$299$	−9.42157	+	7.90563i	−0.544863	+	0.457195i
$300$	−1.37923	−	3.59926i	−0.0796300	−	0.207803i
$301$	1.99583	−	11.3189i	0.115038	−	0.652411i
$302$	−7.39995	+	2.69336i	−0.425819	+	0.154986i
$303$	0.266151	+	15.7718i	0.0152900	+	0.906066i
$304$	−0.963769	−	5.46581i	−0.0552759	−	0.313485i
$305$	11.4893	+	19.9000i	0.657874	+	1.13947i
$306$	−1.72687	+	12.1848i	−0.0987186	+	0.696558i
$307$	−9.12355	+	15.8025i	−0.520709	+	0.901894i	0.479001	+	0.877814i	$0.340999\pi$
$307$	−9.12355	+	15.8025i	−0.520709	+	0.901894i	−0.999710	+	0.0240797i	$0.992334\pi$
$308$	1.70595	+	0.620914i	0.0972054	+	0.0353799i
$309$	25.7054	−	4.98116i	1.46233	−	0.283368i
$310$	9.93717	+	8.33827i	0.564393	+	0.473582i
$311$	9.18970	+	7.71108i	0.521100	+	0.437255i	0.865015	−	0.501746i	$-0.167309\pi$
$311$	9.18970	+	7.71108i	0.521100	+	0.437255i	−0.343915	+	0.939001i	$0.611753\pi$
$312$	3.58796	−	10.4006i	0.203128	−	0.588818i
$313$	20.6282	+	7.50804i	1.16597	+	0.424379i	0.851227	−	0.524797i	$-0.175859\pi$
$313$	20.6282	+	7.50804i	1.16597	+	0.424379i	0.314745	+	0.949176i	$0.398081\pi$
$314$	12.4131	−	21.5001i	0.700511	−	1.21332i
$315$	−5.56735	−	26.3425i	−0.313685	−	1.48423i
$316$	0.528261	+	0.914974i	0.0297170	+	0.0514713i
$317$	−0.727592	−	4.12638i	−0.0408656	−	0.231761i	0.957533	−	0.288322i	$-0.0930974\pi$
$317$	−0.727592	−	4.12638i	−0.0408656	−	0.231761i	−0.998399	+	0.0565615i	$0.981986\pi$
$318$	−15.0102	+	9.00717i	−0.841728	+	0.505097i
$319$	5.69452	−	2.07264i	0.318832	−	0.116045i
$320$	4.48730	−	25.4488i	0.250848	−	1.42263i
$321$	−8.67994	−	1.37993i	−0.484467	−	0.0770200i
$322$	−16.4180	+	13.7764i	−0.914942	+	0.767728i
$323$	−7.85319			−0.436963
$324$	−3.87681	+	3.72646i	−0.215378	+	0.207025i
$325$	−7.69102			−0.426621
$326$	−1.64439	+	1.37981i	−0.0910746	+	0.0764206i
$327$	−22.9976	−	3.65613i	−1.27177	−	0.202185i
$328$	2.29998	−	13.0439i	0.126995	−	0.720227i
$329$	−7.12334	+	2.59268i	−0.392722	+	0.142939i
$330$	5.19521	−	3.11750i	0.285987	−	0.171613i
$331$	−3.15410	−	17.8878i	−0.173365	−	0.983202i	−0.940014	−	0.341136i	$-0.889188\pi$
$331$	−3.15410	−	17.8878i	−0.173365	−	0.983202i	0.766649	−	0.642066i	$-0.221923\pi$
$332$	−2.66261	−	4.61177i	−0.146129	−	0.253104i
$333$	20.2115	−	18.1561i	1.10758	−	0.994949i
$334$	−2.31859	+	4.01592i	−0.126868	+	0.219741i
$335$	−13.3522	−	4.85979i	−0.729507	−	0.265519i
$336$	4.20149	−	12.1791i	0.229210	−	0.664423i
$337$	−15.2411	−	12.7888i	−0.830234	−	0.696649i	0.125111	−	0.992143i	$-0.460071\pi$
$337$	−15.2411	−	12.7888i	−0.830234	−	0.696649i	−0.955345	+	0.295494i	$0.904516\pi$
$338$	7.92540	+	6.65020i	0.431085	+	0.361723i
$339$	−15.3945	+	2.98312i	−0.836113	+	0.162021i
$340$	−5.74443	−	2.09080i	−0.311536	−	0.113390i
$341$	1.85418	−	3.21154i	0.100410	−	0.173915i
$342$	6.34158	+	4.96644i	0.342913	+	0.268554i
$343$	7.24338	+	12.5459i	0.391106	+	0.677415i
$344$	2.02059	+	11.4593i	0.108943	+	0.617845i
$345$	−0.514138	−	30.4672i	−0.0276802	−	1.64030i
$346$	2.37856	−	0.865725i	0.127872	−	0.0465417i
$347$	2.49958	−	14.1758i	0.134184	−	0.760998i	−0.841240	−	0.540662i	$-0.818174\pi$
$347$	2.49958	−	14.1758i	0.134184	−	0.760998i	0.975424	−	0.220335i	$-0.0707152\pi$
$348$	2.24405	+	5.85609i	0.120294	+	0.313920i
$349$	19.5003	−	16.3627i	1.04383	−	0.875875i	0.0513964	−	0.998678i	$-0.483633\pi$
$349$	19.5003	−	16.3627i	1.04383	−	0.875875i	0.992431	+	0.122803i	$0.0391884\pi$
$350$	−13.4024			−0.716388
$351$	4.17526	+	9.88406i	0.222859	+	0.527572i
$352$	−3.25313			−0.173393
$353$	−0.823629	+	0.691106i	−0.0438373	+	0.0367839i	−0.664443	−	0.747339i	$-0.731331\pi$
$353$	−0.823629	+	0.691106i	−0.0438373	+	0.0367839i	0.620606	+	0.784123i	$0.286887\pi$
$354$	−7.53626	+	9.29548i	−0.400548	+	0.494049i
$355$	8.23991	−	46.7309i	0.437329	−	2.48022i
$356$	7.92828	−	2.88566i	0.420198	−	0.152940i
$357$	−15.9387	−	8.84707i	−0.843568	−	0.468237i
$358$	−3.66736	−	20.7986i	−0.193826	−	1.09924i
$359$	3.86024	+	6.68613i	0.203736	+	0.352881i	0.949729	−	0.313073i	$-0.101358\pi$
$359$	3.86024	+	6.68613i	0.203736	+	0.352881i	−0.745993	+	0.665953i	$0.768025\pi$
$360$	14.4179	+	23.1332i	0.759892	+	1.21922i
$361$	6.92997	−	12.0031i	0.364735	−	0.631740i
$362$	8.19097	+	2.98127i	0.430508	+	0.156692i
$363$	−1.13557	−	1.30785i	−0.0596019	−	0.0686445i
$364$	2.87172	+	2.40966i	0.150519	+	0.126300i
$365$	31.2210	+	26.1975i	1.63418	+	1.37124i
$366$	−10.4621	−	12.0493i	−0.546861	−	0.629829i
$367$	9.67009	+	3.51962i	0.504774	+	0.183723i	0.581840	−	0.813303i	$-0.302333\pi$
$367$	9.67009	+	3.51962i	0.504774	+	0.183723i	−0.0770658	+	0.997026i	$0.524555\pi$
$368$	7.29038	−	12.6273i	0.380037	−	0.658244i
$369$	6.83238	+	10.9624i	0.355679	+	0.570677i
$370$	−15.8397	−	27.4351i	−0.823465	−	1.42628i
$371$	−4.50274	−	25.5363i	−0.233771	−	1.32578i
$372$	3.35545	+	1.86250i	0.173972	+	0.0965662i
$373$	−12.2317	+	4.45196i	−0.633331	+	0.230514i	−0.638681	−	0.769472i	$-0.720519\pi$
$373$	−12.2317	+	4.45196i	−0.633331	+	0.230514i	0.00534944	+	0.999986i	$0.498297\pi$
$374$	0.712337	−	4.03986i	0.0368340	−	0.208896i
$375$	−4.10933	+	5.06859i	−0.212205	+	0.261741i
$376$	5.87904	−	4.93310i	0.303188	−	0.254405i
$377$	12.5135			0.644478
$378$	7.27582	+	17.2240i	0.374228	+	0.885906i
$379$	27.9526			1.43583			0.717914	−	0.696131i	$-0.245097\pi$
$379$	27.9526			1.43583			0.717914	+	0.696131i	$0.245097\pi$
$380$	−3.06506	+	2.57189i	−0.157234	+	0.131935i
$381$	7.74478	+	20.2109i	0.396777	+	1.03543i
$382$	4.05322	−	22.9870i	0.207381	−	1.17612i
$383$	−2.27949	+	0.829665i	−0.116476	+	0.0423939i	−0.399601	−	0.916689i	$-0.630851\pi$
$383$	−2.27949	+	0.829665i	−0.116476	+	0.0423939i	0.283125	+	0.959083i	$0.408629\pi$
$384$	0.112649	+	6.67544i	0.00574858	+	0.340654i
$385$	1.55846	+	8.83844i	0.0794263	+	0.450449i
$386$	14.8025	+	25.6386i	0.753426	+	1.30497i
$387$	−8.93429	−	6.99693i	−0.454156	−	0.355674i
$388$	4.55230	−	7.88482i	0.231108	−	0.400291i
$389$	−25.8636	−	9.41358i	−1.31134	−	0.477287i	−0.410664	−	0.911787i	$-0.634703\pi$
$389$	−25.8636	−	9.41358i	−1.31134	−	0.477287i	−0.900672	+	0.434499i	$0.856925\pi$
$390$	12.2826	−	2.38010i	0.621952	−	0.120521i
$391$	−15.8044	−	13.2614i	−0.799261	−	0.670660i
$392$	5.26007	+	4.41372i	0.265674	+	0.222927i
$393$	−12.2239	+	35.4339i	−0.616612	+	1.78740i
$394$	−27.4566	−	9.99338i	−1.38324	−	0.503459i
$395$	−2.61152	+	4.52328i	−0.131400	+	0.227591i
$396$	1.33345	−	1.19784i	0.0670082	−	0.0601939i
$397$	−2.74379	−	4.75238i	−0.137707	−	0.238515i	0.788921	−	0.614494i	$-0.210640\pi$
$397$	−2.74379	−	4.75238i	−0.137707	−	0.238515i	−0.926628	+	0.375979i	$0.877306\pi$
$398$	−2.41325	−	13.6862i	−0.120965	−	0.686027i
$399$	−10.2309	+	6.13928i	−0.512186	+	0.307348i
$400$	8.56802	−	3.11850i	0.428401	−	0.155925i
$401$	3.22259	−	18.2762i	0.160928	−	0.912669i	−0.792236	−	0.610215i	$-0.791083\pi$
$401$	3.22259	−	18.2762i	0.160928	−	0.912669i	0.953164	−	0.302454i	$-0.0978059\pi$
$402$	9.74514	+	1.54927i	0.486043	+	0.0772706i
$403$	5.86603	−	4.92218i	0.292208	−	0.245191i
$404$	5.44140			0.270720
$405$	−25.5368	−	7.38669i	−1.26893	−	0.367048i
$406$	21.8061			1.08222
$407$	−6.93753	+	5.82127i	−0.343880	+	0.288550i
$408$	18.2267	+	2.89766i	0.902358	+	0.143456i
$409$	−4.51033	+	25.5794i	−0.223022	+	1.26482i	0.643410	+	0.765522i	$0.277519\pi$
$409$	−4.51033	+	25.5794i	−0.223022	+	1.26482i	−0.866431	+	0.499297i	$0.833592\pi$
$410$	14.1533	−	5.15140i	0.698984	−	0.254409i
$411$	6.83680	−	4.10257i	0.337235	−	0.202365i
$412$	−1.56843	−	8.89503i	−0.0772712	−	0.438227i
$413$	−8.86301	−	15.3512i	−0.436120	−	0.755383i
$414$	4.37562	+	20.7037i	0.215050	+	1.01753i
$415$	13.1629	−	22.7988i	0.646141	−	1.11915i
$416$	−6.31241	−	2.29753i	−0.309491	−	0.112646i
$417$	−0.303514	+	0.879812i	−0.0148632	+	0.0430846i
$418$	−2.05680	−	1.72586i	−0.100601	−	0.0844146i
$419$	−13.6773	−	11.4766i	−0.668180	−	0.560669i	0.244346	−	0.969688i	$-0.421427\pi$
$419$	−13.6773	−	11.4766i	−0.668180	−	0.560669i	−0.912526	+	0.409019i	$0.865871\pi$
$420$	−9.11818	+	1.76691i	−0.444922	+	0.0862163i
$421$	−21.7178	−	7.90462i	−1.05846	−	0.385248i	−0.246610	−	0.969115i	$-0.579317\pi$
$421$	−21.7178	−	7.90462i	−1.05846	−	0.385248i	−0.811849	+	0.583867i	$0.801539\pi$
$422$	14.0819	−	24.3905i	0.685494	−	1.18731i
$423$	−1.05024	+	7.41051i	−0.0510646	+	0.360311i
$424$	13.1260	+	22.7348i	0.637453	+	1.10410i
$425$	−2.24031	−	12.7054i	−0.108671	−	0.616304i
$426$	0.556006	+	32.9483i	0.0269386	+	1.59635i
$427$	22.2121	−	8.08453i	1.07492	−	0.391238i
$428$	−0.526471	+	2.98576i	−0.0254479	+	0.144322i
$429$	−1.27980	−	3.33977i	−0.0617891	−	0.161246i
$430$	−10.1363	+	8.50538i	−0.488817	+	0.410166i
$431$	−20.4514			−0.985112			−0.492556	−	0.870281i	$-0.663937\pi$
$431$	−20.4514			−0.985112			−0.492556	+	0.870281i	$0.663937\pi$
$432$	−8.65908	−	9.31817i	−0.416610	−	0.448321i
$433$	−11.1418			−0.535441			−0.267721	−	0.963497i	$-0.586270\pi$
$433$	−11.1418			−0.535441			−0.267721	+	0.963497i	$0.586270\pi$
$434$	10.2222	−	8.57741i	0.490680	−	0.411729i
$435$	−19.5248	+	24.0826i	−0.936142	+	1.15467i
$436$	−1.39489	+	7.91082i	−0.0668031	+	0.378859i
$437$	−12.6891	+	4.61847i	−0.607004	+	0.220931i
$438$	−24.7466	−	13.7360i	−1.18244	−	0.656332i
$439$	−3.48522	−	19.7656i	−0.166340	−	0.943362i	−0.947672	−	0.319246i	$-0.896570\pi$
$439$	−3.48522	−	19.7656i	−0.166340	−	0.943362i	0.781332	−	0.624116i	$-0.214541\pi$
$440$	−4.54306	−	7.86882i	−0.216582	−	0.375131i
$441$	−6.69275	+	0.225946i	−0.318703	+	0.0107593i
$442$	4.23538	−	7.33589i	0.201457	−	0.348933i
$443$	−1.27433	−	0.463817i	−0.0605451	−	0.0220366i	0.311570	−	0.950223i	$-0.399145\pi$
$443$	−1.27433	−	0.463817i	−0.0605451	−	0.0220366i	−0.372115	+	0.928187i	$0.621367\pi$
$444$	−6.14458	−	7.07681i	−0.291609	−	0.335851i
$445$	31.9515	+	26.8105i	1.51465	+	1.27094i
$446$	−14.4012	−	12.0840i	−0.681916	−	0.572196i
$447$	−16.3956	−	18.8831i	−0.775486	−	0.893139i
$448$	−24.9794	−	9.09174i	−1.18016	−	0.429544i
$449$	−11.1593	+	19.3285i	−0.526641	+	0.912169i	0.472877	+	0.881128i	$0.343215\pi$
$449$	−11.1593	+	19.3285i	−0.526641	+	0.912169i	−0.999518	+	0.0310406i	$0.990118\pi$
$450$	−6.22596	+	11.6766i	−0.293495	+	0.550442i
$451$	−2.15287	−	3.72888i	−0.101375	−	0.175586i
$452$	0.939306	+	5.32707i	0.0441812	+	0.250564i
$453$	−10.0700	−	5.58953i	−0.473130	−	0.262619i
$454$	16.9154	−	6.15670i	0.793879	−	0.288948i
$455$	−3.21812	+	18.2509i	−0.150868	+	0.855613i
$456$	7.60737	−	9.38319i	0.356248	−	0.439408i
$457$	−10.4952	+	8.80656i	−0.490947	+	0.411953i	−0.854365	−	0.519673i	$-0.826054\pi$
$457$	−10.4952	+	8.80656i	−0.490947	+	0.411953i	0.363419	+	0.931626i	$0.381609\pi$
$458$	−7.83398			−0.366058
$459$	−15.1121	+	9.77657i	−0.705372	+	0.456331i
$460$	−10.5114			−0.490098
$461$	27.1369	−	22.7706i	1.26389	−	1.06053i	0.268636	−	0.963242i	$-0.413427\pi$
$461$	27.1369	−	22.7706i	1.26389	−	1.06053i	0.995256	−	0.0972899i	$-0.0310174\pi$
$462$	−2.23018	−	5.81989i	−0.103757	−	0.270766i
$463$	1.83325	−	10.3969i	0.0851984	−	0.483184i	−0.912115	−	0.409934i	$-0.865552\pi$
$463$	1.83325	−	10.3969i	0.0851984	−	0.483184i	0.997314	−	0.0732503i	$-0.0233372\pi$
$464$	−13.9404	+	5.07389i	−0.647167	+	0.235550i
$465$	0.320111	+	18.9694i	0.0148448	+	0.879685i
$466$	3.95733	+	22.4431i	0.183320	+	1.03966i
$467$	0.326910	+	0.566224i	0.0151276	+	0.0262017i	0.873490	−	0.486842i	$-0.161851\pi$
$467$	0.326910	+	0.566224i	0.0151276	+	0.0262017i	−0.858363	+	0.513044i	$0.828518\pi$
$468$	3.43341	−	1.38256i	0.158709	−	0.0639088i
$469$	−7.30830	+	12.6583i	−0.337466	+	0.584508i
$470$	8.20081	+	2.98485i	0.378275	+	0.137681i
$471$	35.6461	−	6.90746i	1.64249	−	0.318279i
$472$	13.7474	+	11.5354i	0.632774	+	0.530961i
$473$	2.89771	+	2.43147i	0.133237	+	0.111799i
$474$	1.18287	−	3.42885i	0.0543310	−	0.157492i
$475$	−7.93500	−	2.88810i	−0.364083	−	0.132515i
$476$	−3.14421	+	5.44593i	−0.144115	+	0.249614i
$477$	−24.3398	−	7.93971i	−1.11445	−	0.363534i
$478$	6.43893	+	11.1526i	0.294510	+	0.510106i
$479$	−2.19536	−	12.4505i	−0.100308	−	0.568877i	−0.992991	−	0.118191i	$-0.962291\pi$
$479$	−2.19536	−	12.4505i	−0.100308	−	0.568877i	0.892683	−	0.450686i	$-0.148821\pi$
$480$	14.2709	−	8.56356i	0.651374	−	0.390871i
$481$	−17.5729	+	6.39602i	−0.801256	+	0.291633i
$482$	4.74596	−	26.9157i	0.216172	−	1.22598i
$483$	−30.9567	−	4.92146i	−1.40858	−	0.223934i
$484$	−0.457701	+	0.384057i	−0.0208046	+	0.0174571i
$485$	45.0096			2.04378
$486$	18.3861	+	1.66229i	0.834009	+	0.0754032i
$487$	33.8293			1.53295			0.766477	−	0.642272i	$-0.222008\pi$
$487$	33.8293			1.53295			0.766477	+	0.642272i	$0.222008\pi$
$488$	−18.3321	+	15.3824i	−0.829853	+	0.696330i
$489$	−3.10055	−	0.492922i	−0.140212	−	0.0222907i
$490$	−1.35590	+	7.68967i	−0.0612532	+	0.347384i
$491$	9.29630	−	3.38358i	0.419536	−	0.152699i	−0.123621	−	0.992329i	$-0.539451\pi$
$491$	9.29630	−	3.38358i	0.419536	−	0.152699i	0.543158	+	0.839631i	$0.317229\pi$
$492$	3.82079	−	2.29275i	0.172254	−	0.103365i
$493$	3.64505	+	20.6721i	0.164165	+	0.931024i
$494$	−2.77214	−	4.80149i	−0.124725	−	0.216029i
$495$	8.42434	+	2.74804i	0.378646	+	0.123515i
$496$	−4.53911	+	7.86198i	−0.203812	+	0.353013i
$497$	−45.8689	−	16.6949i	−2.05750	−	0.748869i
$498$	−5.96205	+	17.2825i	−0.267166	+	0.774447i
$499$	0.871639	+	0.731392i	0.0390199	+	0.0327416i	0.662089	−	0.749425i	$-0.269670\pi$
$499$	0.871639	+	0.731392i	0.0390199	+	0.0327416i	−0.623069	+	0.782167i	$0.714114\pi$
$500$	1.72429	+	1.44685i	0.0771125	+	0.0647051i
$501$	−6.65820	+	1.29022i	−0.297466	+	0.0576426i
$502$	−10.4883	−	3.81744i	−0.468117	−	0.170381i
$503$	14.0803	−	24.3878i	0.627809	−	1.08740i	−0.360181	−	0.932882i	$-0.617285\pi$
$503$	14.0803	−	24.3878i	0.627809	−	1.08740i	0.987990	−	0.154515i	$-0.0493815\pi$
$504$	26.0105	−	10.4739i	1.15860	−	0.466543i
$505$	13.4501	+	23.2962i	0.598520	+	1.03667i
$506$	−1.22486	−	6.94651i	−0.0544516	−	0.308810i
$507$	0.255305	+	15.1291i	0.0113385	+	0.671906i
$508$	7.01600	−	2.55361i	0.311285	−	0.113298i
$509$	−5.05398	+	28.6625i	−0.224014	+	1.27044i	0.640548	+	0.767918i	$0.278707\pi$
$509$	−5.05398	+	28.6625i	−0.224014	+	1.27044i	−0.864562	+	0.502527i	$0.832404\pi$
$510$	7.50966	+	19.5973i	0.332533	+	0.867783i
$511$	32.1164	−	26.9489i	1.42075	−	1.19215i
$512$	23.0248			1.01756
$513$	0.596084	+	11.7655i	0.0263178	+	0.519459i
$514$	24.0107			1.05907
$515$	34.2054	−	28.7017i	1.50727	−	1.26475i
$516$	−2.46531	+	3.04080i	−0.108529	+	0.133864i
$517$	0.433227	−	2.45695i	0.0190533	−	0.108057i
$518$	−30.6226	+	11.1457i	−1.34548	+	0.489715i
$519$	3.23679	+	1.79664i	0.142079	+	0.0788636i
$520$	−3.25804	−	18.4773i	−0.142875	−	0.810282i
$521$	10.4475	+	18.0956i	0.457712	+	0.792781i	0.998840	−	0.0481597i	$-0.0153356\pi$
$521$	10.4475	+	18.0956i	0.457712	+	0.792781i	−0.541127	+	0.840941i	$0.682002\pi$
$522$	10.1298	−	18.9982i	0.443370	−	0.831530i
$523$	14.6079	−	25.3017i	0.638761	−	1.10637i	−0.346944	−	0.937886i	$-0.612781\pi$
$523$	14.6079	−	25.3017i	0.638761	−	1.10637i	0.985705	−	0.168480i	$-0.0538860\pi$
$524$	12.1503	+	4.42236i	0.530790	+	0.193192i
$525$	−12.8512	−	14.8009i	−0.560871	−	0.645964i
$526$	0.314831	+	0.264175i	0.0137273	+	0.0115186i
$527$	9.84007	+	8.25680i	0.428640	+	0.359672i
$528$	2.77992	+	3.20168i	0.120980	+	0.139335i
$529$	−11.7227	−	4.26673i	−0.509684	−	0.185510i
$530$	−14.9262	+	25.8530i	−0.648354	+	1.12298i
$531$	−17.4917	+	0.590519i	−0.759077	+	0.0256263i
$532$	2.05795	+	3.56447i	0.0892234	+	0.154539i
$533$	−1.54392	−	8.75602i	−0.0668747	−	0.379265i
$534$	−25.3256	−	14.0574i	−1.09595	−	0.608323i
$535$	−14.0843	+	5.12625i	−0.608916	+	0.221627i
$536$	2.56963	−	14.5731i	0.110991	−	0.629462i
$537$	19.4524	−	23.9933i	0.839433	−	1.03539i
$538$	7.82956	−	6.56978i	0.337556	−	0.283243i
$539$	2.23219			0.0961472
$540$	−2.69637	+	8.76489i	−0.116033	+	0.377181i
$541$	19.6442			0.844569			0.422285	−	0.906463i	$-0.361228\pi$
$541$	19.6442			0.844569			0.422285	+	0.906463i	$0.361228\pi$
$542$	7.42125	−	6.22717i	0.318770	−	0.267480i
$543$	4.56172	+	11.9043i	0.195762	+	0.510863i
$544$	1.95674	−	11.0972i	0.0838946	−	0.475790i
$545$	−37.3164	+	13.5821i	−1.59846	+	0.581792i
$546$	−0.217150	−	12.8680i	−0.00929314	−	0.550701i
$547$	2.97785	+	16.8882i	0.127323	+	0.722087i	0.979901	+	0.199486i	$0.0639273\pi$
$547$	2.97785	+	16.8882i	0.127323	+	0.722087i	−0.852577	+	0.522601i	$0.824962\pi$
$548$	−1.37522	−	2.38196i	−0.0587466	−	0.101752i
$549$	3.27488	−	23.1075i	0.139768	−	0.986205i
$550$	2.20546	−	3.81998i	0.0940413	−	0.162884i
$551$	12.9105	+	4.69902i	0.550004	+	0.200185i
$552$	31.1548	−	6.03713i	1.32604	−	0.256957i
$553$	4.11582	+	3.45359i	0.175023	+	0.146861i
$554$	−18.1197	−	15.2042i	−0.769831	−	0.645965i
$555$	15.1097	−	43.7992i	0.641371	−	1.85917i
$556$	0.301689	+	0.109806i	0.0127945	+	0.00465681i
$557$	−6.73600	+	11.6671i	−0.285413	+	0.494350i	−0.972709	−	0.232027i	$-0.925464\pi$
$557$	−6.73600	+	11.6671i	−0.285413	+	0.494350i	0.687296	+	0.726377i	$0.258798\pi$
$558$	−2.72434	−	12.8905i	−0.115330	−	0.545697i
$559$	3.90551	+	6.76455i	0.165186	+	0.286110i
$560$	−3.81516	−	21.6369i	−0.161220	−	0.914324i
$561$	5.14445	−	3.08704i	0.217199	−	0.130335i
$562$	−23.1150	+	8.41318i	−0.975049	+	0.354889i
$563$	−0.211984	+	1.20222i	−0.00893408	+	0.0506677i	−0.988949	−	0.148257i	$-0.952634\pi$
$563$	−0.211984	+	1.20222i	−0.00893408	+	0.0506677i	0.980015	+	0.198925i	$0.0637449\pi$
$564$	2.54984	+	0.405371i	0.107368	+	0.0170692i
$565$	−20.4849	+	17.1889i	−0.861808	+	0.723143i
$566$	−11.3220			−0.475899
$567$	−12.0447	+	24.5506i	−0.505830	+	1.03103i
$568$	49.4182			2.07354
$569$	2.85794	−	2.39810i	0.119811	−	0.100534i	−0.580914	−	0.813965i	$-0.697305\pi$
$569$	2.85794	−	2.39810i	0.119811	−	0.100534i	0.700725	+	0.713432i	$0.252860\pi$
$570$	13.5660	+	2.15670i	0.568216	+	0.0903343i
$571$	−1.05876	+	6.00451i	−0.0443076	+	0.251281i	−0.998914	−	0.0465888i	$-0.985165\pi$
$571$	−1.05876	+	6.00451i	−0.0443076	+	0.251281i	0.954607	+	0.297870i	$0.0962761\pi$
$572$	−1.15937	+	0.421975i	−0.0484756	+	0.0176437i
$573$	29.2721	−	17.5654i	1.22286	−	0.733804i
$574$	−2.69044	−	15.2583i	−0.112297	−	0.636868i
$575$	−11.0920	−	19.2118i	−0.462566	−	0.801189i
$576$	−19.5250	+	17.5394i	−0.813541	+	0.730809i
$577$	−20.7751	+	35.9836i	−0.864880	+	1.49802i	0.00228614	+	0.999997i	$0.499272\pi$
$577$	−20.7751	+	35.9836i	−0.864880	+	1.49802i	−0.867166	+	0.498019i	$0.834061\pi$
$578$	−5.56608	−	2.02589i	−0.231518	−	0.0842658i
$579$	−14.1203	+	40.9312i	−0.586819	+	1.70104i
$580$	8.19266	+	6.87446i	0.340182	+	0.285446i
$581$	−20.7451	−	17.4072i	−0.860651	−	0.722172i
$582$	−30.6862	+	5.94633i	−1.27198	+	0.246483i
$583$	8.01937	+	2.91881i	0.332128	+	0.120885i
$584$	−21.2226	+	36.7586i	−0.878196	+	1.52108i
$585$	14.4059	+	11.2820i	0.595609	+	0.466454i
$586$	−14.6027	−	25.2925i	−0.603230	−	1.04483i
$587$	3.51229	+	19.9192i	0.144968	+	0.822152i	0.967393	+	0.253279i	$0.0815092\pi$
$587$	3.51229	+	19.9192i	0.144968	+	0.822152i	−0.822426	+	0.568873i	$0.807380\pi$
$588$	0.0389766	+	2.30971i	0.00160737	+	0.0952508i
$589$	7.90048	−	2.87554i	0.325533	−	0.118484i
$590$	−3.54368	+	20.0972i	−0.145891	+	0.827390i
$591$	−15.2912	−	39.9040i	−0.628994	−	1.64143i
$592$	16.9833	−	14.2507i	0.698010	−	0.585700i
$593$	−3.80950			−0.156437			−0.0782186	−	0.996936i	$-0.524923\pi$
$593$	−3.80950			−0.156437			−0.0782186	+	0.996936i	$0.524923\pi$
$594$	−6.10651	−	0.760568i	−0.250553	−	0.0312065i
$595$	−31.0875			−1.27446
$596$	−6.60839	+	5.54510i	−0.270690	+	0.227136i
$597$	12.8003	−	15.7884i	0.523883	−	0.646175i
$598$	2.52926	−	14.3441i	0.103429	−	0.586575i
$599$	−33.9997	+	12.3749i	−1.38919	+	0.505624i	−0.924951	−	0.380086i	$-0.875895\pi$
$599$	−33.9997	+	12.3749i	−1.38919	+	0.505624i	−0.464240	+	0.885710i	$0.653672\pi$
$600$	17.3510	+	9.63095i	0.708350	+	0.393182i
$601$	−5.52578	−	31.3382i	−0.225401	−	1.27831i	−0.861917	−	0.507050i	$-0.830736\pi$
$601$	−5.52578	−	31.3382i	−0.225401	−	1.27831i	0.636516	−	0.771264i	$-0.280375\pi$
$602$	6.80576	+	11.7879i	0.277382	+	0.480440i
$603$	7.63340	+	12.2476i	0.310856	+	0.498759i
$604$	−1.98649	+	3.44071i	−0.0808293	+	0.140000i
$605$	−2.77561	−	1.01024i	−0.112844	−	0.0410720i
$606$	−12.2476	−	14.1057i	−0.497523	−	0.573006i
$607$	14.1250	+	11.8523i	0.573317	+	0.481070i	0.882745	−	0.469853i	$-0.155693\pi$
$607$	14.1250	+	11.8523i	0.573317	+	0.481070i	−0.309428	+	0.950923i	$0.600137\pi$
$608$	−5.64989	−	4.74082i	−0.229133	−	0.192266i
$609$	20.9092	+	24.0815i	0.847283	+	0.975830i
$610$	−25.5718	−	9.30739i	−1.03537	−	0.376845i
$611$	2.57586	−	4.46153i	0.104208	−	0.180494i
$612$	3.28408	+	5.26921i	0.132751	+	0.212995i
$613$	−12.7569	−	22.0956i	−0.515247	−	0.892433i	−0.999843	−	0.0176957i	$-0.994367\pi$
$613$	−12.7569	−	22.0956i	−0.515247	−	0.892433i	0.484597	−	0.874738i	$-0.338966\pi$
$614$	−3.75248	−	21.2813i	−0.151438	−	0.858845i
$615$	19.2602	+	10.6907i	0.776645	+	0.431090i
$616$	−8.78304	+	3.19677i	−0.353879	+	0.128801i
$617$	−0.716454	+	4.06321i	−0.0288433	+	0.163579i	−0.995827	−	0.0912589i	$-0.970911\pi$
$617$	−0.716454	+	4.06321i	−0.0288433	+	0.163579i	0.966984	+	0.254838i	$0.0820220\pi$
$618$	−19.5283	+	24.0869i	−0.785545	+	0.968918i
$619$	6.44575	−	5.40863i	0.259077	−	0.217391i	−0.503992	−	0.863708i	$-0.668136\pi$
$619$	6.44575	−	5.40863i	0.259077	−	0.217391i	0.763069	+	0.646317i	$0.223692\pi$
$620$	6.54459			0.262837
$621$	−18.6684	+	24.6844i	−0.749137	+	0.990549i
$622$	−14.2070			−0.569647
$623$	32.8679	−	27.5794i	1.31682	−	1.10495i
$624$	3.13299	+	8.17588i	0.125420	+	0.327297i
$625$	−5.16611	+	29.2984i	−0.206644	+	1.17194i
$626$	−24.4295	+	8.89160i	−0.976398	+	0.355380i
$627$	−0.0662568	−	3.92630i	−0.00264604	−	0.156801i
$628$	−2.17497	−	12.3349i	−0.0867909	−	0.492216i
$629$	−15.6849	−	27.1671i	−0.625398	−	1.08322i
$630$	25.1037	+	19.6601i	1.00015	+	0.783276i
$631$	−13.1461	+	22.7696i	−0.523336	+	0.906445i	0.476295	+	0.879286i	$0.341980\pi$
$631$	−13.1461	+	22.7696i	−0.523336	+	0.906445i	−0.999631	+	0.0271595i	$0.991354\pi$
$632$	−5.11144	−	1.86041i	−0.203322	−	0.0740032i
$633$	40.4383	−	7.83608i	1.60728	−	0.311456i
$634$	3.80124	+	3.18962i	0.150967	+	0.126676i
$635$	28.2750	+	23.7255i	1.12206	+	0.941518i
$636$	−2.88015	+	8.34884i	−0.114205	+	0.331053i
$637$	4.33136	+	1.57649i	0.171615	+	0.0624626i
$638$	−3.58835	+	6.21521i	−0.142064	+	0.246062i
$639$	−35.8532	+	32.2072i	−1.41833	+	1.27410i
$640$	5.69276	+	9.86015i	0.225026	+	0.389757i
$641$	−2.52451	−	14.3172i	−0.0997123	−	0.565497i	−0.993201	−	0.116411i	$-0.962861\pi$
$641$	−2.52451	−	14.3172i	−0.0997123	−	0.565497i	0.893489	−	0.449085i	$-0.148250\pi$
$642$	8.92498	−	5.35563i	0.352241	−	0.211370i
$643$	−16.1673	+	5.88443i	−0.637577	+	0.232059i	−0.640526	−	0.767937i	$-0.721284\pi$
$643$	−16.1673	+	5.88443i	−0.637577	+	0.232059i	0.00294880	+	0.999996i	$0.499061\pi$
$644$	−1.87764	+	10.6486i	−0.0739893	+	0.419614i
$645$	−19.1123	−	3.03845i	−0.752547	−	0.119639i
$646$	7.12449	−	5.97815i	0.280309	−	0.235207i
$647$	18.4811			0.726568			0.363284	−	0.931678i	$-0.381655\pi$
$647$	18.4811			0.726568			0.363284	+	0.931678i	$0.381655\pi$
$648$	2.95775	−	27.5269i	0.116191	−	1.08136i
$649$	5.83390			0.229001
$650$	6.97736	−	5.85470i	0.273675	−	0.229640i
$651$	19.2742	+	3.06419i	0.755415	+	0.120095i
$652$	−0.188060	+	1.06654i	−0.00736500	+	0.0417690i
$653$	−13.4925	+	4.91087i	−0.528002	+	0.192177i	−0.592246	−	0.805757i	$-0.701759\pi$
$653$	−13.4925	+	4.91087i	−0.528002	+	0.192177i	0.0642438	+	0.997934i	$0.479536\pi$
$654$	23.6468	−	14.1898i	0.924665	−	0.554865i
$655$	11.0999	+	62.9504i	0.433707	+	2.45968i
$656$	5.27031	+	9.12844i	0.205771	+	0.356406i
$657$	−8.55944	−	40.4999i	−0.333936	−	1.58005i
$658$	4.48871	−	7.77467i	0.174988	−	0.303088i
$659$	8.48909	+	3.08977i	0.330688	+	0.120361i	0.502028	−	0.864851i	$-0.332587\pi$
$659$	8.48909	+	3.08977i	0.330688	+	0.120361i	−0.171340	+	0.985212i	$0.554810\pi$
$660$	0.996857	−	2.88964i	0.0388026	−	0.112479i
$661$	17.3583	+	14.5653i	0.675159	+	0.566526i	0.914587	−	0.404388i	$-0.132516\pi$
$661$	17.3583	+	14.5653i	0.675159	+	0.566526i	−0.239428	+	0.970914i	$0.576960\pi$
$662$	16.4783	+	13.8270i	0.640448	+	0.537400i
$663$	12.1626	−	2.35684i	0.472355	−	0.0915323i
$664$	25.7633	+	9.37708i	0.999810	+	0.363901i
$665$	−10.1737	+	17.6214i	−0.394519	+	0.683327i
$666$	−4.51491	+	31.8572i	−0.174949	+	1.23444i
$667$	18.0469	+	31.2582i	0.698779	+	1.21032i
$668$	0.406255	+	2.30399i	0.0157185	+	0.0891439i
$669$	−0.463913	−	27.4909i	−0.0179359	−	1.06286i
$670$	15.8127	−	5.75534i	0.610897	−	0.222348i
$671$	−1.35089	+	7.66129i	−0.0521506	+	0.295761i
$672$	−6.12615	−	15.9869i	−0.236321	−	0.616706i
$673$	−36.4337	+	30.5715i	−1.40442	+	1.17844i	−0.445316	+	0.895373i	$0.646909\pi$
$673$	−36.4337	+	30.5715i	−1.40442	+	1.17844i	−0.959099	+	0.283071i	$0.908647\pi$
$674$	23.5621			0.907580
$675$	−18.8650	+	4.32077i	−0.726113	+	0.166307i
$676$	5.21965			0.200756
$677$	4.26013	−	3.57467i	0.163730	−	0.137386i	−0.557242	−	0.830350i	$-0.688140\pi$
$677$	4.26013	−	3.57467i	0.163730	−	0.137386i	0.720972	+	0.692965i	$0.243696\pi$
$678$	11.6951	−	14.4252i	0.449149	−	0.553996i
$679$	8.04000	−	45.5971i	0.308547	−	1.74986i
$680$	29.5751	−	10.7645i	1.13415	−	0.412798i
$681$	23.0188	+	12.7770i	0.882083	+	0.489615i
$682$	0.762617	+	4.32502i	0.0292021	+	0.165614i
$683$	−14.5263	−	25.1603i	−0.555834	−	0.962733i	−0.997838	−	0.0657200i	$-0.979066\pi$
$683$	−14.5263	−	25.1603i	−0.555834	−	0.962733i	0.442004	−	0.897013i	$-0.354268\pi$
$684$	4.06150	−	0.137116i	0.155295	−	0.00524274i
$685$	6.79857	−	11.7755i	0.259760	−	0.449918i
$686$	−16.1217	−	5.86782i	−0.615529	−	0.224034i
$687$	−7.51177	−	8.65143i	−0.286592	−	0.330073i
$688$	−7.09370	−	5.95232i	−0.270445	−	0.226930i
$689$	13.4994	+	11.3274i	0.514288	+	0.431539i
$690$	23.6593	+	27.2487i	0.900692	+	1.03734i
$691$	−39.0009	−	14.1952i	−1.48366	−	0.540009i	−0.531890	−	0.846813i	$-0.678518\pi$
$691$	−39.0009	−	14.1952i	−1.48366	−	0.540009i	−0.951773	+	0.306805i	$0.900740\pi$
$692$	0.638517	−	1.10594i	0.0242728	−	0.0420417i
$693$	4.28873	−	8.04341i	0.162915	−	0.305544i
$694$	8.52354	+	14.7632i	0.323549	+	0.560404i
$695$	0.275606	+	1.56304i	0.0104543	+	0.0592894i
$696$	−28.2305	−	15.6698i	−1.07007	−	0.593963i
$697$	14.0151	−	5.10107i	0.530858	−	0.193217i
$698$	−5.23494	+	29.6888i	−0.198145	+	1.12374i
$699$	−20.9904	+	25.8903i	−0.793931	+	0.979262i
$700$	−5.17977	+	4.34634i	−0.195777	+	0.164276i
$701$	−0.712963			−0.0269282			−0.0134641	−	0.999909i	$-0.504286\pi$
$701$	−0.712963			−0.0269282			−0.0134641	+	0.999909i	$0.504286\pi$
$702$	−11.3120	−	5.78854i	−0.426943	−	0.218474i
$703$	−20.5322			−0.774386
$704$	6.70189	−	5.62355i	0.252587	−	0.211945i
$705$	4.56721	+	11.9186i	0.172011	+	0.448882i
$706$	0.221106	−	1.25396i	0.00832145	−	0.0471933i
$707$	26.0028	−	9.46426i	0.977937	−	0.355940i
$708$	0.101867	+	6.03651i	0.00382839	+	0.226866i
$709$	−1.01880	−	5.77791i	−0.0382619	−	0.216994i	0.959682	−	0.281088i	$-0.0906953\pi$
$709$	−1.01880	−	5.77791i	−0.0382619	−	0.216994i	−0.997944	+	0.0640941i	$0.979584\pi$
$710$	28.0980	+	48.6672i	1.05450	+	1.82645i
$711$	4.92086	−	1.98152i	0.184547	−	0.0743128i
$712$	−21.7191	+	37.6186i	−0.813959	+	1.40982i
$713$	20.7554	+	7.55434i	0.777295	+	0.282912i
$714$	21.1945	−	4.10704i	0.793185	−	0.153702i
$715$	−4.67233	−	3.92055i	−0.174735	−	0.146620i
$716$	−8.16229	−	6.84897i	−0.305039	−	0.255958i
$717$	−6.14219	+	17.8047i	−0.229384	+	0.664928i
$718$	−8.59179	−	3.12716i	−0.320643	−	0.116704i
$719$	19.4410	−	33.6728i	0.725027	−	1.25578i	−0.233936	−	0.972252i	$-0.575161\pi$
$719$	19.4410	−	33.6728i	0.725027	−	1.25578i	0.958963	−	0.283531i	$-0.0915059\pi$
$720$	−20.6231	−	6.72730i	−0.768577	−	0.250712i
$721$	−22.9663	−	39.7788i	−0.855309	−	1.48144i
$722$	2.85026	+	16.1646i	0.106076	+	0.601586i
$723$	34.2750	−	20.5675i	1.27470	−	0.764912i
$724$	4.13247	−	1.50409i	0.153582	−	0.0558992i
$725$	−3.91938	+	22.2279i	−0.145562	+	0.825525i
$726$	2.02579	+	0.322058i	0.0751841	+	0.0119527i
$727$	−39.3733	+	33.0382i	−1.46028	+	1.22532i	−0.535651	+	0.844439i	$0.679934\pi$
$727$	−39.3733	+	33.0382i	−1.46028	+	1.22532i	−0.924625	+	0.380878i	$0.875622\pi$
$728$	−19.3004			−0.715321
$729$	15.7941	+	21.8985i	0.584967	+	0.811057i
$730$	−48.2666			−1.78643
$731$	−10.0373	+	8.42228i	−0.371242	+	0.311509i
$732$	−7.95095	−	1.26403i	−0.293875	−	0.0467200i
$733$	0.308131	−	1.74750i	0.0113811	−	0.0645452i	−0.978588	−	0.205828i	$-0.934011\pi$
$733$	0.308131	−	1.74750i	0.0113811	−	0.0645452i	0.989969	+	0.141282i	$0.0451225\pi$
$734$	−11.4521	+	4.16821i	−0.422704	+	0.153851i
$735$	−9.79220	+	5.87602i	−0.361191	+	0.216740i
$736$	−3.36460	−	19.0816i	−0.124021	−	0.703357i
$737$	−2.40527	−	4.16605i	−0.0885992	−	0.153458i
$738$	−14.5434	−	4.74408i	−0.535349	−	0.174632i
$739$	19.8616	−	34.4013i	0.730622	−	1.26547i	−0.225996	−	0.974128i	$-0.572564\pi$
$739$	19.8616	−	34.4013i	0.730622	−	1.26547i	0.956618	−	0.291346i	$-0.0941030\pi$
$740$	−15.0188	−	5.46641i	−0.552103	−	0.200949i
$741$	2.64439	−	7.66542i	0.0971440	−	0.281596i
$742$	23.5242	+	19.7391i	0.863599	+	0.724646i
$743$	−28.0481	−	23.5351i	−1.02898	−	0.863421i	−0.0382550	−	0.999268i	$-0.512180\pi$
$743$	−28.0481	−	23.5351i	−1.02898	−	0.863421i	−0.990730	+	0.135847i	$0.956624\pi$
$744$	−19.3975	+	3.75882i	−0.711147	+	0.137805i
$745$	−40.0748	−	14.5860i	−1.46823	−	0.534391i
$746$	7.70767	−	13.3501i	0.282198	−	0.488781i
$747$	−24.8027	+	9.98751i	−0.907484	+	0.365424i
$748$	−1.03481	−	1.79234i	−0.0378363	−	0.0655344i
$749$	2.67731	+	15.1838i	0.0978268	+	0.554803i
$750$	−0.130385	−	7.72646i	−0.00476098	−	0.282130i
$751$	−30.7755	+	11.2014i	−1.12301	+	0.408744i	−0.835751	−	0.549108i	$-0.814968\pi$
$751$	−30.7755	+	11.2014i	−1.12301	+	0.408744i	−0.287263	+	0.957852i	$0.592745\pi$
$752$	−1.06056	+	6.01471i	−0.0386745	+	0.219334i
$753$	−5.84118	−	15.2432i	−0.212864	−	0.555493i
$754$	−11.3524	+	9.52576i	−0.413429	+	0.346908i
$755$	−19.6409			−0.714806
$756$	8.39764	+	4.29723i	0.305419	+	0.156289i
$757$	−3.44782			−0.125313			−0.0626566	−	0.998035i	$-0.519957\pi$
$757$	−3.44782			−0.125313			−0.0626566	+	0.998035i	$0.519957\pi$
$758$	−25.3589	+	21.2786i	−0.921076	+	0.772874i
$759$	6.49688	−	8.01348i	0.235822	−	0.290871i
$760$	3.57712	−	20.2869i	0.129756	−	0.735882i
$761$	12.6538	−	4.60559i	0.458698	−	0.166953i	−0.102328	−	0.994751i	$-0.532629\pi$
$761$	12.6538	−	4.60559i	0.458698	−	0.166953i	0.561026	+	0.827798i	$0.310407\pi$
$762$	−22.4114	−	12.4399i	−0.811881	−	0.450648i
$763$	7.09357	+	40.2296i	0.256804	+	1.45641i
$764$	−5.88809	−	10.1985i	−0.213024	−	0.368968i
$765$	−14.4414	+	27.0845i	−0.522131	+	0.979244i
$766$	1.43640	−	2.48791i	0.0518992	−	0.0898920i
$767$	11.3202	+	4.12020i	0.408747	+	0.148772i
$768$	14.6857	+	16.9138i	0.529924	+	0.610322i
$769$	−7.08051	−	5.94125i	−0.255330	−	0.214247i	0.506134	−	0.862455i	$-0.331074\pi$
$769$	−7.08051	−	5.94125i	−0.255330	−	0.214247i	−0.761463	+	0.648208i	$0.775519\pi$
$770$	−8.14202	−	6.83196i	−0.293418	−	0.246207i
$771$	23.0232	+	26.5162i	0.829160	+	0.954957i
$772$	14.0354	+	5.10846i	0.505144	+	0.183858i
$773$	13.4603	−	23.3140i	0.484134	−	0.838545i	−0.515699	−	0.856770i	$-0.672468\pi$
$773$	13.4603	−	23.3140i	0.484134	−	0.838545i	0.999834	+	0.0182241i	$0.00580123\pi$
$774$	13.4316	−	0.453449i	0.482789	−	0.0162989i
$775$	6.90604	+	11.9616i	0.248072	+	0.429674i
$776$	8.13974	+	46.1627i	0.292200	+	1.65715i
$777$	−41.6719	−	23.1307i	−1.49497	−	0.829809i
$778$	30.6297	−	11.1483i	1.09813	−	0.399686i
$779$	1.69513	−	9.61355i	0.0607343	−	0.344441i
$780$	3.97512	−	4.90305i	0.142332	−	0.175557i
$781$	12.3065	−	10.3264i	0.440361	−	0.369507i
$782$	24.4330			0.873722
$783$	30.6938	−	7.03002i	1.09691	−	0.251232i
$784$	−5.46448			−0.195160
$785$	47.4332	−	39.8011i	1.69296	−	1.42056i
$786$	−15.8841	−	41.4512i	−0.566566	−	1.47852i
$787$	−3.49463	+	19.8190i	−0.124570	+	0.706473i	0.856992	+	0.515330i	$0.172331\pi$
$787$	−3.49463	+	19.8190i	−0.124570	+	0.706473i	−0.981562	+	0.191143i	$0.938781\pi$
$788$	−13.8523	+	5.04181i	−0.493466	+	0.179607i
$789$	0.0101418	+	0.600993i	0.000361058	+	0.0213959i
$790$	−1.07410	−	6.09155i	−0.0382149	−	0.216728i
$791$	13.7541	+	23.8227i	0.489038	+	0.847039i
$792$	−1.29495	+	9.13713i	−0.0460139	+	0.324674i
$793$	−8.03208	+	13.9120i	−0.285227	+	0.494029i
$794$	6.10689	+	2.22272i	0.216725	+	0.0788816i
$795$	−42.8630	+	8.30593i	−1.52019	+	0.294581i
$796$	−5.37106	−	4.50685i	−0.190372	−	0.159741i
$797$	−16.1419	−	13.5446i	−0.571774	−	0.479776i	0.310460	−	0.950587i	$-0.399517\pi$
$797$	−16.1419	−	13.5446i	−0.571774	−	0.479776i	−0.882234	+	0.470811i	$0.843961\pi$
$798$	4.60812	−	13.3578i	0.163126	−	0.472860i
$799$	8.12068	+	2.95569i	0.287289	+	0.104565i
$800$	6.05826	−	10.4932i	0.214192	−	0.370991i
$801$	−8.75971	−	41.4475i	−0.309509	−	1.46447i
$802$	10.9890	+	19.0335i	0.388035	+	0.672096i
$803$	2.39602	+	13.5885i	0.0845539	+	0.479529i
$804$	4.26873	−	2.56155i	0.150547	−	0.0903388i
$805$	−50.2310	+	18.2826i	−1.77041	+	0.644377i
$806$	−1.57476	+	8.93090i	−0.0554685	+	0.314578i
$807$	14.7629	+	2.34698i	0.519677	+	0.0826177i
$808$	−21.4607	+	18.0076i	−0.754984	+	0.633507i
$809$	−2.97578			−0.104623			−0.0523115	−	0.998631i	$-0.516659\pi$
$809$	−2.97578			−0.104623			−0.0523115	+	0.998631i	$0.516659\pi$
$810$	28.7902	−	12.7383i	1.01159	−	0.447579i
$811$	−15.1135			−0.530705			−0.265353	−	0.964151i	$-0.585488\pi$
$811$	−15.1135			−0.530705			−0.265353	+	0.964151i	$0.585488\pi$
$812$	8.42763	−	7.07162i	0.295752	−	0.248165i
$813$	13.9930	+	2.22459i	0.490755	+	0.0780197i
$814$	1.86241	−	10.5622i	0.0652773	−	0.370206i
$815$	−5.03102	+	1.83114i	−0.176229	+	0.0641421i
$816$	−12.5938	+	7.55719i	−0.440871	+	0.264555i
$817$	1.48921	+	8.44572i	0.0521008	+	0.295478i
$818$	−15.3802	−	26.6393i	−0.537756	−	0.931421i
$819$	14.0026	−	12.5786i	0.489289	−	0.439532i
$820$	3.79942	−	6.58079i	0.132682	−	0.229811i
$821$	13.8626	+	5.04557i	0.483808	+	0.176092i	0.572397	−	0.819977i	$-0.306014\pi$
$821$	13.8626	+	5.04557i	0.483808	+	0.176092i	−0.0885894	+	0.996068i	$0.528236\pi$
$822$	−3.07937	+	8.92633i	−0.107405	+	0.311342i
$823$	9.10457	+	7.63964i	0.317365	+	0.266301i	0.787528	−	0.616279i	$-0.211360\pi$
$823$	9.10457	+	7.63964i	0.317365	+	0.266301i	−0.470163	+	0.882580i	$0.655805\pi$
$824$	35.6229	+	29.8912i	1.24098	+	1.04131i
$825$	6.33333	−	1.22727i	0.220498	−	0.0427279i
$826$	19.7265	+	7.17987i	0.686374	+	0.249820i
$827$	−11.4982	+	19.9155i	−0.399831	+	0.692528i	−0.993705	−	0.112030i	$-0.964265\pi$
$827$	−11.4982	+	19.9155i	−0.399831	+	0.692528i	0.593873	+	0.804559i	$0.297598\pi$
$828$	8.40522	+	6.58259i	0.292101	+	0.228761i
$829$	5.83425	+	10.1052i	0.202632	+	0.350969i	0.949376	−	0.314143i	$-0.101717\pi$
$829$	5.83425	+	10.1052i	0.202632	+	0.350969i	−0.746744	+	0.665112i	$0.768384\pi$
$830$	5.41383	+	30.7034i	0.187917	+	1.06573i
$831$	−0.583698	−	34.5893i	−0.0202483	−	1.19989i
$832$	16.9760	−	6.17877i	0.588538	−	0.214210i
$833$	−1.34265	+	7.61454i	−0.0465200	+	0.263828i
$834$	−0.394396	−	1.02922i	−0.0136568	−	0.0356390i
$835$	−8.85985	+	7.43430i	−0.306608	+	0.257275i
$836$	−1.35460			−0.0468500
$837$	11.6233	−	15.3689i	0.401759	−	0.531227i
$838$	21.1446			0.730429
$839$	−36.1371	+	30.3226i	−1.24759	+	1.04685i	−0.250700	+	0.968065i	$0.580661\pi$
$839$	−36.1371	+	30.3226i	−1.24759	+	1.04685i	−0.996891	+	0.0787891i	$0.974895\pi$
$840$	30.1144	−	37.1441i	1.03905	−	1.28159i
$841$	1.34115	−	7.60604i	0.0462466	−	0.262277i
$842$	25.7199	−	9.36127i	0.886365	−	0.322611i
$843$	−31.4554	−	17.4599i	−1.08338	−	0.601350i
$844$	−2.46737	−	13.9932i	−0.0849304	−	0.481664i
$845$	12.9020	+	22.3469i	0.443841	+	0.768755i
$846$	−4.68838	−	7.52237i	−0.161190	−	0.258625i
$847$	−1.51923	+	2.63138i	−0.0522012	+	0.0904152i
$848$	−19.6317	−	7.14536i	−0.674156	−	0.245373i
$849$	−10.8563	−	12.5034i	−0.372589	−	0.429116i
$850$	11.7043	+	9.82107i	0.401454	+	0.336860i
$851$	−41.3206	−	34.6721i	−1.41645	−	1.18854i
$852$	10.8999	+	12.5536i	0.373424	+	0.430078i
$853$	14.0825	+	5.12563i	0.482177	+	0.175498i	0.571661	−	0.820490i	$-0.306299\pi$
$853$	14.0825	+	5.12563i	0.482177	+	0.175498i	−0.0894836	+	0.995988i	$0.528522\pi$
$854$	−13.9967	+	24.2430i	−0.478958	+	0.829580i
$855$	10.6263	+	17.0495i	0.363411	+	0.583082i
$856$	−7.80464	−	13.5180i	−0.266757	−	0.462037i
$857$	0.0505100	+	0.286456i	0.00172539	+	0.00978516i	0.985658	−	0.168753i	$-0.0539742\pi$
$857$	0.0505100	+	0.286456i	0.00172539	+	0.00978516i	−0.983933	+	0.178539i	$0.942863\pi$
$858$	3.70341	+	2.05564i	0.126432	+	0.0701784i
$859$	24.3686	−	8.86945i	0.831446	−	0.302622i	0.108994	−	0.994042i	$-0.465237\pi$
$859$	24.3686	−	8.86945i	0.831446	−	0.302622i	0.722452	+	0.691421i	$0.243015\pi$
$860$	−1.15923	+	6.57434i	−0.0395295	+	0.224183i
$861$	14.2706	−	17.6019i	0.486342	−	0.599871i
$862$	18.5537	−	15.5684i	0.631943	−	0.530263i
$863$	32.9975			1.12325			0.561624	−	0.827393i	$-0.310177\pi$
$863$	32.9975			1.12325			0.561624	+	0.827393i	$0.310177\pi$
$864$	−16.7742	−	2.08923i	−0.570669	−	0.0710771i
$865$	6.31316			0.214654
$866$	10.1080	−	8.48158i	0.343482	−	0.288216i
$867$	−3.09987	−	8.08945i	−0.105277	−	0.274732i
$868$	1.16905	−	6.63001i	0.0396802	−	0.225037i
$869$	−1.66164	+	0.604787i	−0.0563672	+	0.0205160i
$870$	−0.619502	−	36.7110i	−0.0210031	−	1.24462i
$871$	−1.72493	−	9.78256i	−0.0584470	−	0.331470i
$872$	−20.6785	−	35.8162i	−0.700262	−	1.21289i
$873$	−35.9909	−	28.1864i	−1.21811	−	0.953967i
$874$	7.99594	−	13.8494i	0.270467	−	0.468462i
$875$	10.7564	+	3.91500i	0.363632	+	0.132351i
$876$	−14.0186	+	2.71651i	−0.473645	+	0.0917823i
$877$	−19.3753	−	16.2578i	−0.654258	−	0.548988i	0.254102	−	0.967178i	$-0.418220\pi$
$877$	−19.3753	−	16.2578i	−0.654258	−	0.548988i	−0.908360	+	0.418190i	$0.862665\pi$
$878$	18.2082	+	15.2785i	0.614497	+	0.515624i
$879$	13.9297	−	40.3787i	0.469837	−	1.36194i
$880$	6.79479	+	2.47310i	0.229052	+	0.0833682i
$881$	1.74390	−	3.02051i	0.0587533	−	0.101764i	−0.835153	−	0.550018i	$-0.814621\pi$
$881$	1.74390	−	3.02051i	0.0587533	−	0.101764i	0.893906	+	0.448254i	$0.147954\pi$
$882$	5.89973	−	5.29977i	0.198654	−	0.178452i
$883$	13.5370	+	23.4468i	0.455558	+	0.789049i	0.998720	−	0.0505787i	$-0.0161066\pi$
$883$	13.5370	+	23.4468i	0.455558	+	0.789049i	−0.543162	+	0.839628i	$0.682773\pi$
$884$	−0.742108	−	4.20870i	−0.0249598	−	0.141554i
$885$	−25.5923	+	15.3572i	−0.860274	+	0.516226i
$886$	1.50916	−	0.549288i	0.0507011	−	0.0184537i
$887$	3.11241	−	17.6514i	0.104505	−	0.592675i	−0.886913	−	0.461937i	$-0.847154\pi$
$887$	3.11241	−	17.6514i	0.104505	−	0.592675i	0.991417	−	0.130737i	$-0.0417344\pi$
$888$	47.6539	+	7.57595i	1.59916	+	0.254232i
$889$	29.0859	−	24.4060i	0.975509	−	0.818549i
$890$	−49.3959			−1.65576
$891$	−5.01542	−	7.47299i	−0.168023	−	0.250355i
$892$	−9.48459			−0.317568
$893$	4.33295	−	3.63578i	0.144997	−	0.121667i
$894$	29.2488	+	4.64994i	0.978226	+	0.155517i
$895$	9.14687	−	51.8745i	0.305746	−	1.73397i
$896$	11.0057	−	4.00576i	0.367676	−	0.133823i
$897$	18.2661	−	10.9610i	0.609888	−	0.365977i
$898$	−4.58978	−	26.0299i	−0.153163	−	0.868630i
$899$	−11.2363	−	19.4619i	−0.374752	−	0.649090i
$900$	1.38047	+	6.53185i	0.0460158	+	0.217728i
$901$	−14.7804	+	25.6004i	−0.492406	+	0.852872i
$902$	4.79167	+	1.74403i	0.159545	+	0.0580697i
$903$	−6.49211	+	18.8190i	−0.216044	+	0.626258i
$904$	−21.3339	−	17.9012i	−0.709554	−	0.595386i
$905$	16.6541	+	13.9745i	0.553602	+	0.464527i
$906$	13.3906	−	2.59481i	0.444872	−	0.0862067i
$907$	−50.5511	−	18.3991i	−1.67852	−	0.610933i	−0.685417	−	0.728151i	$-0.740380\pi$
$907$	−50.5511	−	18.3991i	−1.67852	−	0.610933i	−0.993106	+	0.117218i	$0.962602\pi$
$908$	4.54089	−	7.86505i	0.150695	−	0.261011i
$909$	3.83378	−	27.0511i	0.127158	−	0.897229i
$910$	−10.9738	−	19.0071i	−0.363777	−	0.630080i
$911$	−4.16724	−	23.6336i	−0.138067	−	0.783015i	−0.972675	−	0.232171i	$-0.925417\pi$
$911$	−4.16724	−	23.6336i	−0.138067	−	0.783015i	0.834608	−	0.550844i	$-0.185694\pi$
$912$	0.162199	+	9.61173i	0.00537095	+	0.318276i
$913$	8.37519	−	3.04832i	0.277178	−	0.100885i
$914$	2.81749	−	15.9788i	0.0931943	−	0.528531i
$915$	−14.2415	−	37.1648i	−0.470810	−	1.22863i
$916$	−3.02768	+	2.54053i	−0.100037	+	0.0839414i
$917$	65.7548			2.17141
$918$	6.26751	−	20.3733i	0.206859	−	0.672419i
$919$	−7.16887			−0.236479			−0.118240	−	0.992985i	$-0.537725\pi$
$919$	−7.16887			−0.236479			−0.118240	+	0.992985i	$0.537725\pi$
$920$	41.4567	−	34.7863i	1.36679	−	1.14687i
$921$	19.9039	−	24.5501i	0.655854	−	0.808953i
$922$	−7.28501	+	41.3154i	−0.239919	+	1.36065i
$923$	31.1726	−	11.3459i	1.02606	−	0.373455i
$924$	−2.74929	−	1.52604i	−0.0904450	−	0.0502030i
$925$	−5.85730	−	33.2184i	−0.192587	−	1.09221i
$926$	6.25137	+	10.8277i	0.205433	+	0.355820i
$927$	−45.3255	+	1.53018i	−1.48868	+	0.0502577i
$928$	−9.85696	+	17.0728i	−0.323571	+	0.560441i
$929$	−19.9819	−	7.27280i	−0.655583	−	0.238613i	−0.00725507	−	0.999974i	$-0.502309\pi$
$929$	−19.9819	−	7.27280i	−0.655583	−	0.238613i	−0.648328	+	0.761361i	$0.724532\pi$
$930$	−14.7307	−	16.9655i	−0.483037	−	0.556322i
$931$	3.87676	+	3.25299i	0.127056	+	0.106612i
$932$	8.80765	+	7.39050i	0.288504	+	0.242084i
$933$	−13.6226	−	15.6894i	−0.445985	−	0.513648i
$934$	−0.727607	−	0.264827i	−0.0238080	−	0.00866542i
$935$	5.11568	−	8.86062i	0.167301	−	0.289773i
$936$	−8.96583	+	16.8152i	−0.293057	+	0.549622i
$937$	2.76148	+	4.78302i	0.0902135	+	0.156254i	0.907601	−	0.419834i	$-0.137912\pi$
$937$	2.76148	+	4.78302i	0.0902135	+	0.156254i	−0.817387	+	0.576088i	$0.804578\pi$
$938$	−3.00587	−	17.0471i	−0.0981451	−	0.556608i
$939$	−33.2441	−	18.4527i	−1.08488	−	0.602182i
$940$	4.13743	−	1.50590i	0.134948	−	0.0491171i
$941$	1.34202	−	7.61095i	0.0437485	−	0.248110i	−0.955089	−	0.296320i	$-0.904241\pi$
$941$	1.34202	−	7.61095i	0.0437485	−	0.248110i	0.998837	+	0.0482100i	$0.0153517\pi$
$942$	−27.0803	+	33.4017i	−0.882323	+	1.08829i
$943$	19.6455	−	16.4845i	0.639746	−	0.536811i
$944$	−14.2816			−0.464827
$945$	2.35965	+	46.5747i	0.0767594	+	1.51507i
$946$	−4.47976			−0.145649
$947$	−21.6500	+	18.1665i	−0.703529	+	0.590331i	−0.922775	−	0.385339i	$-0.874085\pi$
$947$	−21.6500	+	18.1665i	−0.703529	+	0.590331i	0.219246	+	0.975670i	$0.429640\pi$
$948$	−0.654804	−	1.70878i	−0.0212671	−	0.0554987i
$949$	−4.94765	+	28.0595i	−0.160607	+	0.910850i
$950$	9.39724	−	3.42032i	0.304887	−	0.110970i
$951$	0.122451	+	7.25632i	0.00397076	+	0.235302i
$952$	−5.62200	−	31.8839i	−0.182210	−	1.03336i
$953$	−22.6674	−	39.2610i	−0.734268	−	1.27179i	−0.955044	−	0.296465i	$-0.904192\pi$
$953$	−22.6674	−	39.2610i	−0.734268	−	1.27179i	0.220776	−	0.975325i	$-0.429141\pi$
$954$	28.1254	−	11.3255i	0.910592	−	0.366675i
$955$	29.1084	−	50.4173i	0.941926	−	1.63146i
$956$	6.10526	+	2.22213i	0.197458	+	0.0718689i
$957$	−10.3045	+	1.99679i	−0.333098	+	0.0645472i
$958$	11.4694	+	9.62400i	0.370561	+	0.310937i
$959$	−10.7147	−	8.99074i	−0.345997	−	0.290326i
$960$	−14.5965	+	42.3116i	−0.471099	+	1.36560i
$961$	16.2078	+	5.89916i	0.522833	+	0.190296i
$962$	11.0734	−	19.1797i	0.357021	−	0.618379i
$963$	14.4724	+	4.72092i	0.466366	+	0.152129i
$964$	−6.89442	−	11.9415i	−0.222054	−	0.384610i
$965$	12.8219	+	72.7167i	0.412752	+	2.34083i
$966$	31.8306	−	19.1007i	1.02413	−	0.614553i
$967$	−26.2750	+	9.56332i	−0.844948	+	0.307536i	−0.727979	−	0.685600i	$-0.759540\pi$
$967$	−26.2750	+	9.56332i	−0.844948	+	0.307536i	−0.116969	+	0.993136i	$0.537318\pi$
$968$	0.534167	−	3.02941i	0.0171688	−	0.0973690i
$969$	13.4334	+	2.13563i	0.431544	+	0.0686063i
$970$	−40.8332	+	34.2631i	−1.31107	+	1.10012i
$971$	42.1744			1.35344			0.676721	−	0.736240i	$-0.263400\pi$
$971$	42.1744			1.35344			0.676721	+	0.736240i	$0.263400\pi$
$972$	7.64494	−	5.32009i	0.245212	−	0.170642i
$973$	1.63267			0.0523410
$974$	−30.6903	+	25.7522i	−0.983380	+	0.825154i
$975$	13.1560	+	2.09153i	0.421330	+	0.0669825i
$976$	3.30704	−	18.7551i	0.105856	−	0.600337i
$977$	−19.9968	+	7.27825i	−0.639755	+	0.232852i	−0.641472	−	0.767147i	$-0.721676\pi$
$977$	−19.9968	+	7.27825i	−0.639755	+	0.232852i	0.00171658	+	0.999999i	$0.499454\pi$
$978$	3.18808	−	1.91308i	0.101944	−	0.0611735i
$979$	2.45209	+	13.9065i	0.0783690	+	0.444453i
$980$	1.96970	+	3.41163i	0.0629198	+	0.108980i
$981$	38.3447	+	12.5081i	1.22425	+	0.399354i
$982$	−5.85798	+	10.1463i	−0.186936	+	0.323782i
$983$	44.6532	+	16.2524i	1.42422	+	0.518373i	0.935268	−	0.353940i	$-0.115158\pi$
$983$	44.6532	+	16.2524i	1.42422	+	0.518373i	0.488949	+	0.872313i	$0.337381\pi$
$984$	−7.48148	+	21.6870i	−0.238501	+	0.691355i
$985$	−55.8256	−	46.8432i	−1.77875	−	1.49255i
$986$	−19.0432	−	15.9792i	−0.606460	−	0.508880i
$987$	12.8900	−	2.49781i	0.410294	−	0.0795062i
$988$	−2.62849	−	0.956690i	−0.0836233	−	0.0304364i
$989$	−11.2650	+	19.5116i	−0.358207	+	0.620433i
$990$	−9.73455	+	3.91989i	−0.309384	+	0.124582i
$991$	8.96700	+	15.5313i	0.284846	+	0.493368i	0.972572	−	0.232603i	$-0.0747242\pi$
$991$	8.96700	+	15.5313i	0.284846	+	0.493368i	−0.687726	+	0.725971i	$0.741391\pi$
$992$	2.09486	+	11.8805i	0.0665119	+	0.377207i
$993$	0.530825	+	31.4560i	0.0168452	+	0.998227i
$994$	54.3215	−	19.7714i	1.72297	−	0.627111i
$995$	6.01894	−	34.1351i	0.190813	−	1.08216i
$996$	3.30043	+	8.61283i	0.104578	+	0.272908i
$997$	−0.713645	+	0.598819i	−0.0226014	+	0.0189648i	−0.654018	−	0.756479i	$-0.726918\pi$
$997$	−0.713645	+	0.598819i	−0.0226014	+	0.0189648i	0.631417	+	0.775443i	$0.282474\pi$
$998$	−1.34752			−0.0426551
$999$	−39.5106	+	25.5609i	−1.25006	+	0.808711i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	297.2.j.c.265.6	yes	102
3.2	odd	2		891.2.j.c.199.12		102
27.4	even	9		8019.2.a.l.1.17		51
27.11	odd	18		891.2.j.c.694.12		102
27.16	even	9	inner	297.2.j.c.232.6	✓	102
27.23	odd	18		8019.2.a.k.1.35		51

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
297.2.j.c.232.6	✓	102	27.16	even	9	inner
297.2.j.c.265.6	yes	102	1.1	even	1	trivial
891.2.j.c.199.12		102	3.2	odd	2
891.2.j.c.694.12		102	27.11	odd	18
8019.2.a.k.1.35		51	27.23	odd	18
8019.2.a.l.1.17		51	27.4	even	9

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:	\( N \)	\(=\)	\( 297 = 3^{3} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	297.j (of order \(9\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.907209 + 0.761239i) q^{2} +(-1.71057 - 0.271944i) q^{3} +(-0.103752 + 0.588409i) q^{4} +(-2.77561 + 1.01024i) q^{5} +(1.75886 - 1.05544i) q^{6} +(0.527622 + 2.99229i) q^{7} +(-1.53807 - 2.66402i) q^{8} +(2.85209 + 0.930359i) q^{9} +O(q^{10})\)	\(q+(-0.907209 + 0.761239i) q^{2} +(-1.71057 - 0.271944i) q^{3} +(-0.103752 + 0.588409i) q^{4} +(-2.77561 + 1.01024i) q^{5} +(1.75886 - 1.05544i) q^{6} +(0.527622 + 2.99229i) q^{7} +(-1.53807 - 2.66402i) q^{8} +(2.85209 + 0.930359i) q^{9} +(1.74902 - 3.02940i) q^{10} +(-0.939693 - 0.342020i) q^{11} +(0.337490 - 0.978299i) q^{12} +(-1.58184 - 1.32732i) q^{13} +(-2.75651 - 2.31299i) q^{14} +(5.02259 - 0.973272i) q^{15} +(2.30040 + 0.837278i) q^{16} +(1.73193 - 2.99980i) q^{17} +(-3.29567 + 1.32709i) q^{18} +(-1.13359 - 1.96343i) q^{19} +(-0.306457 - 1.73801i) q^{20} +(-0.0887969 - 5.26200i) q^{21} +(1.11286 - 0.405047i) q^{22} +(1.03427 - 5.86561i) q^{23} +(1.90651 + 4.97526i) q^{24} +(2.85319 - 2.39411i) q^{25} +2.44546 q^{26} +(-4.62570 - 2.36705i) q^{27} -1.81543 q^{28} +(-4.64222 + 3.89528i) q^{29} +(-3.81565 + 4.70636i) q^{30} +(-0.643951 + 3.65203i) q^{31} +(3.05694 - 1.11264i) q^{32} +(1.51440 + 0.840593i) q^{33} +(0.712337 + 4.03986i) q^{34} +(-4.48740 - 7.77240i) q^{35} +(-0.843343 + 1.58167i) q^{36} +(4.52815 - 7.84298i) q^{37} +(2.52304 + 0.918311i) q^{38} +(2.34488 + 2.70064i) q^{39} +(6.96038 + 5.84045i) q^{40} +(3.29839 + 2.76768i) q^{41} +(4.08620 + 4.70614i) q^{42} +(-3.55457 - 1.29376i) q^{43} +(0.298743 - 0.517438i) q^{44} +(-8.85617 + 0.298983i) q^{45} +(3.52684 + 6.10866i) q^{46} +(0.433227 + 2.45695i) q^{47} +(-3.70731 - 2.05780i) q^{48} +(-2.09757 + 0.763453i) q^{49} +(-0.765950 + 4.34392i) q^{50} +(-3.77837 + 4.66037i) q^{51} +(0.945125 - 0.793054i) q^{52} -8.53403 q^{53} +(5.99837 - 1.37385i) q^{54} +2.95374 q^{55} +(7.16000 - 6.00795i) q^{56} +(1.40513 + 3.66685i) q^{57} +(1.24622 - 7.06767i) q^{58} +(-5.48207 + 1.99531i) q^{59} +(0.0515757 + 3.05632i) q^{60} +(-1.35089 - 7.66129i) q^{61} +(-2.19587 - 3.80336i) q^{62} +(-1.27908 + 9.02517i) q^{63} +(-4.37434 + 7.57659i) q^{64} +(5.73146 + 2.08608i) q^{65} +(-2.01377 + 0.390226i) q^{66} +(3.68509 + 3.09216i) q^{67} +(1.58542 + 1.33032i) q^{68} +(-3.36430 + 9.75227i) q^{69} +(9.98766 + 3.63521i) q^{70} +(-8.03249 + 13.9127i) q^{71} +(-1.90823 - 9.02899i) q^{72} +(-6.89908 - 11.9496i) q^{73} +(1.86241 + 10.5622i) q^{74} +(-5.53164 + 3.31938i) q^{75} +(1.27291 - 0.463302i) q^{76} +(0.527622 - 2.99229i) q^{77} +(-4.18313 - 0.665029i) q^{78} +(1.35458 - 1.13663i) q^{79} -7.23087 q^{80} +(7.26887 + 5.30694i) q^{81} -5.09919 q^{82} +(-6.82752 + 5.72897i) q^{83} +(3.10542 + 0.493696i) q^{84} +(-1.77666 + 10.0759i) q^{85} +(4.20959 - 1.53217i) q^{86} +(9.00013 - 5.40072i) q^{87} +(0.534167 + 3.02941i) q^{88} +(-7.06050 - 12.2292i) q^{89} +(7.80680 - 7.01290i) q^{90} +(3.13711 - 5.43363i) q^{91} +(3.34407 + 1.21714i) q^{92} +(2.09467 - 6.07193i) q^{93} +(-2.26336 - 1.89918i) q^{94} +(5.12992 + 4.30451i) q^{95} +(-5.53169 + 1.07192i) q^{96} +(-14.3192 - 5.21177i) q^{97} +(1.32177 - 2.28937i) q^{98} +(-2.36189 - 1.84972i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 102 q - 6 q^{5} - 21 q^{6}+O(q^{10}) \) 102 * q - 6 * q^5 - 21 * q^6	\( 102 q - 6 q^{5} - 21 q^{6} - 18 q^{10} - 9 q^{12} - 21 q^{14} - 27 q^{15} - 33 q^{18} - 30 q^{19} + 27 q^{20} + 18 q^{21} - 12 q^{23} + 105 q^{24} - 6 q^{25} + 18 q^{26} - 39 q^{27} + 72 q^{28} - 18 q^{29} + 36 q^{30} - 12 q^{31} + 96 q^{32} - 3 q^{33} - 24 q^{34} + 9 q^{35} + 39 q^{36} - 48 q^{37} - 15 q^{38} + 90 q^{40} - 54 q^{42} + 30 q^{43} - 60 q^{44} - 75 q^{45} - 42 q^{46} - 30 q^{47} - 39 q^{48} - 36 q^{49} + 66 q^{50} + 30 q^{51} - 84 q^{52} + 36 q^{53} - 36 q^{54} + 12 q^{55} - 48 q^{56} - 15 q^{57} - 75 q^{58} - 42 q^{59} - 84 q^{60} - 42 q^{61} + 105 q^{63} - 114 q^{64} - 57 q^{65} + 54 q^{67} - 6 q^{68} + 204 q^{70} - 30 q^{71} - 90 q^{72} - 69 q^{73} - 117 q^{74} - 72 q^{75} - 60 q^{76} + 189 q^{78} - 18 q^{79} + 84 q^{80} - 60 q^{81} + 84 q^{82} - 6 q^{83} - 72 q^{84} - 39 q^{85} - 132 q^{86} - 69 q^{87} - 9 q^{88} - 15 q^{89} + 138 q^{90} - 69 q^{91} + 102 q^{92} + 108 q^{93} + 123 q^{94} + 66 q^{95} - 117 q^{96} + 66 q^{97} + 57 q^{98}+O(q^{100}) \) 102 * q - 6 * q^5 - 21 * q^6 - 18 * q^10 - 9 * q^12 - 21 * q^14 - 27 * q^15 - 33 * q^18 - 30 * q^19 + 27 * q^20 + 18 * q^21 - 12 * q^23 + 105 * q^24 - 6 * q^25 + 18 * q^26 - 39 * q^27 + 72 * q^28 - 18 * q^29 + 36 * q^30 - 12 * q^31 + 96 * q^32 - 3 * q^33 - 24 * q^34 + 9 * q^35 + 39 * q^36 - 48 * q^37 - 15 * q^38 + 90 * q^40 - 54 * q^42 + 30 * q^43 - 60 * q^44 - 75 * q^45 - 42 * q^46 - 30 * q^47 - 39 * q^48 - 36 * q^49 + 66 * q^50 + 30 * q^51 - 84 * q^52 + 36 * q^53 - 36 * q^54 + 12 * q^55 - 48 * q^56 - 15 * q^57 - 75 * q^58 - 42 * q^59 - 84 * q^60 - 42 * q^61 + 105 * q^63 - 114 * q^64 - 57 * q^65 + 54 * q^67 - 6 * q^68 + 204 * q^70 - 30 * q^71 - 90 * q^72 - 69 * q^73 - 117 * q^74 - 72 * q^75 - 60 * q^76 + 189 * q^78 - 18 * q^79 + 84 * q^80 - 60 * q^81 + 84 * q^82 - 6 * q^83 - 72 * q^84 - 39 * q^85 - 132 * q^86 - 69 * q^87 - 9 * q^88 - 15 * q^89 + 138 * q^90 - 69 * q^91 + 102 * q^92 + 108 * q^93 + 123 * q^94 + 66 * q^95 - 117 * q^96 + 66 * q^97 + 57 * q^98

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