LMFDB - Embedded newform 280.2.bv.e.213.35

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [280,2,Mod(117,280)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(280, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([0, 6, 3, 10]))

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

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

chi := DirichletCharacter("280.117");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 280 = 2^{3} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	280.bv (of order $12$, degree $4$, 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:	$2.23581125660$
Analytic rank:	$0$
Dimension:	$160$
Relative dimension:	$40$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			213.35
Character	$\chi$	$=$	280.213
Dual form			280.2.bv.e.117.35

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.23773 + 0.684130i) q^{2} +(-0.533194 + 0.142869i) q^{3} +(1.06393 + 1.69353i) q^{4} +(1.41466 + 1.73169i) q^{5} +(-0.757690 - 0.187942i) q^{6} +(1.59956 - 2.10746i) q^{7} +(0.158259 + 2.82400i) q^{8} +(-2.33419 + 1.34765i) q^{9} +O(q^{10})$	\(q+(1.23773 + 0.684130i) q^{2} +(-0.533194 + 0.142869i) q^{3} +(1.06393 + 1.69353i) q^{4} +(1.41466 + 1.73169i) q^{5} +(-0.757690 - 0.187942i) q^{6} +(1.59956 - 2.10746i) q^{7} +(0.158259 + 2.82400i) q^{8} +(-2.33419 + 1.34765i) q^{9} +(0.566260 + 3.11117i) q^{10} +(-1.11117 - 0.641534i) q^{11} +(-0.809235 - 0.750979i) q^{12} +(-0.949012 - 0.949012i) q^{13} +(3.42160 - 1.51415i) q^{14} +(-1.00169 - 0.721215i) q^{15} +(-1.73610 + 3.60360i) q^{16} +(1.15189 - 0.308647i) q^{17} +(-3.81106 + 0.0711252i) q^{18} +(6.26837 - 3.61905i) q^{19} +(-1.42757 + 4.23817i) q^{20} +(-0.551787 + 1.35222i) q^{21} +(-0.936431 - 1.55423i) q^{22} +(-0.710255 + 2.65071i) q^{23} +(-0.487844 - 1.48313i) q^{24} +(-0.997482 + 4.89949i) q^{25} +(-0.525369 - 1.82387i) q^{26} +(2.22302 - 2.22302i) q^{27} +(5.27088 + 0.466717i) q^{28} -5.81853 q^{29} +(-0.746416 - 1.57796i) q^{30} +(-4.15083 - 2.39648i) q^{31} +(-4.61415 + 3.27255i) q^{32} +(0.684125 + 0.183311i) q^{33} +(1.63688 + 0.406020i) q^{34} +(5.91230 - 0.211396i) q^{35} +(-4.76570 - 2.51923i) q^{36} +(1.13205 - 4.22488i) q^{37} +(10.2344 - 0.191004i) q^{38} +(0.641593 + 0.370424i) q^{39} +(-4.66640 + 4.26904i) q^{40} -8.75373i q^{41} +(-1.60805 + 1.29618i) q^{42} +(8.66427 - 8.66427i) q^{43} +(-0.0957496 - 2.56435i) q^{44} +(-5.63579 - 2.13563i) q^{45} +(-2.69253 + 2.79494i) q^{46} +(1.15481 - 4.30981i) q^{47} +(0.410836 - 2.16946i) q^{48} +(-1.88279 - 6.74204i) q^{49} +(-4.58650 + 5.38182i) q^{50} +(-0.570084 + 0.329138i) q^{51} +(0.597499 - 2.61687i) q^{52} +(2.53412 + 9.45747i) q^{53} +(4.27232 - 1.23065i) q^{54} +(-0.460989 - 2.83175i) q^{55} +(6.20461 + 4.18364i) q^{56} +(-2.82521 + 2.82521i) q^{57} +(-7.20174 - 3.98063i) q^{58} +(-4.85880 - 2.80523i) q^{59} +(0.155669 - 2.46372i) q^{60} +(-0.740278 - 1.28220i) q^{61} +(-3.49808 - 5.80590i) q^{62} +(-0.893574 + 7.07487i) q^{63} +(-7.94991 + 0.893843i) q^{64} +(0.300864 - 2.98592i) q^{65} +(0.721351 + 0.694919i) q^{66} +(-6.95204 + 1.86279i) q^{67} +(1.74823 + 1.62238i) q^{68} -1.51482i q^{69} +(7.46243 + 3.78314i) q^{70} -8.21871 q^{71} +(-4.17515 - 6.37847i) q^{72} +(2.84755 + 10.6272i) q^{73} +(4.29154 - 4.45477i) q^{74} +(-0.168134 - 2.75489i) q^{75} +(12.7981 + 6.76527i) q^{76} +(-3.12940 + 1.31557i) q^{77} +(0.540698 + 0.897416i) q^{78} +(-1.55856 + 0.899835i) q^{79} +(-8.69630 + 2.09148i) q^{80} +(3.17524 - 5.49967i) q^{81} +(5.98870 - 10.8347i) q^{82} +(6.32559 + 6.32559i) q^{83} +(-2.87708 + 0.504194i) q^{84} +(2.16401 + 1.55808i) q^{85} +(16.6515 - 4.79650i) q^{86} +(3.10241 - 0.831287i) q^{87} +(1.63584 - 3.23947i) q^{88} +(1.07554 + 1.86290i) q^{89} +(-5.51451 - 6.49894i) q^{90} +(-3.51801 + 0.482002i) q^{91} +(-5.24472 + 1.61733i) q^{92} +(2.55558 + 0.684766i) q^{93} +(4.37781 - 4.54432i) q^{94} +(15.1347 + 5.73514i) q^{95} +(1.99269 - 2.40413i) q^{96} +(10.7317 + 10.7317i) q^{97} +(2.28205 - 9.63287i) q^{98} +3.45824 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 160 q - 2 q^{2} + 12 q^{7} + 4 q^{8}+O(q^{10}) $ 160 * q - 2 * q^2 + 12 * q^7 + 4 * q^8	$ 160 q - 2 q^{2} + 12 q^{7} + 4 q^{8} - 6 q^{10} + 6 q^{12} - 8 q^{15} + 4 q^{16} - 12 q^{17} - 28 q^{18} - 24 q^{22} - 16 q^{23} + 20 q^{25} - 12 q^{26} - 46 q^{28} + 32 q^{30} + 48 q^{31} + 18 q^{32} - 12 q^{33} - 32 q^{36} - 48 q^{38} + 54 q^{40} + 6 q^{42} - 64 q^{46} - 132 q^{47} - 12 q^{50} - 20 q^{56} - 88 q^{57} + 6 q^{58} + 34 q^{60} - 32 q^{63} - 28 q^{65} - 180 q^{66} + 60 q^{68} - 108 q^{70} - 160 q^{71} + 52 q^{72} + 84 q^{73} + 48 q^{78} - 48 q^{80} + 16 q^{81} - 90 q^{82} - 84 q^{86} - 12 q^{87} + 44 q^{88} + 36 q^{92} - 20 q^{95} - 48 q^{96} - 94 q^{98}+O(q^{100}) $ 160 * q - 2 * q^2 + 12 * q^7 + 4 * q^8 - 6 * q^10 + 6 * q^12 - 8 * q^15 + 4 * q^16 - 12 * q^17 - 28 * q^18 - 24 * q^22 - 16 * q^23 + 20 * q^25 - 12 * q^26 - 46 * q^28 + 32 * q^30 + 48 * q^31 + 18 * q^32 - 12 * q^33 - 32 * q^36 - 48 * q^38 + 54 * q^40 + 6 * q^42 - 64 * q^46 - 132 * q^47 - 12 * q^50 - 20 * q^56 - 88 * q^57 + 6 * q^58 + 34 * q^60 - 32 * q^63 - 28 * q^65 - 180 * q^66 + 60 * q^68 - 108 * q^70 - 160 * q^71 + 52 * q^72 + 84 * q^73 + 48 * q^78 - 48 * q^80 + 16 * q^81 - 90 * q^82 - 84 * q^86 - 12 * q^87 + 44 * q^88 + 36 * q^92 - 20 * q^95 - 48 * q^96 - 94 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/280\mathbb{Z}\right)^\times$.

$n$	$57$	$71$	$141$	$241$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$1$	$-1$	$e\left(\frac{1}{6}\right)$

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 $

$2$	1.23773	+	0.684130i	0.875204	+	0.483753i
$2$	1.23773	+	0.684130i	0.875204	+	0.483753i
$3$	−0.533194	+	0.142869i	−0.307840	+	0.0824855i	−0.409432	−	0.912341i	$-0.634273\pi$
$3$	−0.533194	+	0.142869i	−0.307840	+	0.0824855i	0.101592	+	0.994826i	$0.467606\pi$
$4$	1.06393	+	1.69353i	0.531966	+	0.846766i
$5$	1.41466	+	1.73169i	0.632655	+	0.774434i
$5$	1.41466	+	1.73169i	0.632655	+	0.774434i
$6$	−0.757690	−	0.187942i	−0.309326	−	0.0767269i
$7$	1.59956	−	2.10746i	0.604578	−	0.796546i
$7$	1.59956	−	2.10746i	0.604578	−	0.796546i
$8$	0.158259	+	2.82400i	0.0559528	+	0.998433i
$9$	−2.33419	+	1.34765i	−0.778064	+	0.449215i
$10$	0.566260	+	3.11117i	0.179067	+	0.983837i
$11$	−1.11117	−	0.641534i	−0.335030	−	0.193430i	0.323042	−	0.946385i	$-0.395295\pi$
$11$	−1.11117	−	0.641534i	−0.335030	−	0.193430i	−0.658072	+	0.752955i	$0.728628\pi$
$12$	−0.809235	−	0.750979i	−0.233606	−	0.216789i
$13$	−0.949012	−	0.949012i	−0.263209	−	0.263209i	0.563148	−	0.826356i	$-0.309590\pi$
$13$	−0.949012	−	0.949012i	−0.263209	−	0.263209i	−0.826356	+	0.563148i	$0.809590\pi$
$14$	3.42160	−	1.51415i	0.914461	−	0.404674i
$15$	−1.00169	−	0.721215i	−0.258636	−	0.186217i
$16$	−1.73610	+	3.60360i	−0.434025	+	0.900901i
$17$	1.15189	−	0.308647i	0.279374	−	0.0748580i	−0.116412	−	0.993201i	$-0.537139\pi$
$17$	1.15189	−	0.308647i	0.279374	−	0.0748580i	0.395785	+	0.918343i	$0.370472\pi$
$18$	−3.81106	+	0.0711252i	−0.898274	+	0.0167644i
$19$	6.26837	−	3.61905i	1.43806	−	0.830266i	0.440348	−	0.897827i	$-0.354855\pi$
$19$	6.26837	−	3.61905i	1.43806	−	0.830266i	0.997715	+	0.0675615i	$0.0215219\pi$
$20$	−1.42757	+	4.23817i	−0.319214	+	0.947683i
$21$	−0.551787	+	1.35222i	−0.120410	+	0.295078i
$22$	−0.936431	−	1.55423i	−0.199648	−	0.331363i
$23$	−0.710255	+	2.65071i	−0.148098	+	0.552711i	0.851500	+	0.524355i	$0.175694\pi$
$23$	−0.710255	+	2.65071i	−0.148098	+	0.552711i	−0.999598	+	0.0283554i	$0.990973\pi$
$24$	−0.487844	−	1.48313i	−0.0995808	−	0.302742i
$25$	−0.997482	+	4.89949i	−0.199496	+	0.979899i
$26$	−0.525369	−	1.82387i	−0.103033	−	0.357689i
$27$	2.22302	−	2.22302i	0.427820	−	0.427820i
$28$	5.27088	+	0.466717i	0.996103	+	0.0882012i
$29$	−5.81853			−1.08047			−0.540237	−	0.841513i	$-0.681665\pi$
$29$	−5.81853			−1.08047			−0.540237	+	0.841513i	$0.681665\pi$
$30$	−0.746416	−	1.57796i	−0.136276	−	0.288094i
$31$	−4.15083	−	2.39648i	−0.745511	−	0.430421i	0.0785584	−	0.996910i	$-0.474968\pi$
$31$	−4.15083	−	2.39648i	−0.745511	−	0.430421i	−0.824070	+	0.566488i	$0.808302\pi$
$32$	−4.61415	+	3.27255i	−0.815674	+	0.578511i
$33$	0.684125	+	0.183311i	0.119091	+	0.0319103i
$34$	1.63688	+	0.406020i	0.280722	+	0.0696319i
$35$	5.91230	−	0.211396i	0.999361	−	0.0357324i
$36$	−4.76570	−	2.51923i	−0.794283	−	0.419871i
$37$	1.13205	−	4.22488i	0.186108	−	0.694565i	−0.808282	−	0.588795i	$-0.799603\pi$
$37$	1.13205	−	4.22488i	0.186108	−	0.694565i	0.994391	−	0.105770i	$-0.0337308\pi$
$38$	10.2344	−	0.191004i	1.66024	−	0.0309849i
$39$	0.641593	+	0.370424i	0.102737	+	0.0593153i
$40$	−4.66640	+	4.26904i	−0.737822	+	0.674995i
$41$		−	8.75373i		−	1.36710i	−0.729902	−	0.683552i	$-0.760434\pi$
$41$		−	8.75373i		−	1.36710i	0.729902	−	0.683552i	$-0.239566\pi$
$42$	−1.60805	+	1.29618i	−0.248128	+	0.200005i
$43$	8.66427	−	8.66427i	1.32129	−	1.32129i	0.408554	−	0.912734i	$-0.366033\pi$
$43$	8.66427	−	8.66427i	1.32129	−	1.32129i	0.912734	−	0.408554i	$-0.133967\pi$
$44$	−0.0957496	−	2.56435i	−0.0144348	−	0.386590i
$45$	−5.63579	−	2.13563i	−0.840133	−	0.318361i
$46$	−2.69253	+	2.79494i	−0.396992	+	0.412092i
$47$	1.15481	−	4.30981i	0.168446	−	0.628651i	−0.829129	−	0.559057i	$-0.811163\pi$
$47$	1.15481	−	4.30981i	0.168446	−	0.628651i	0.997575	−	0.0695933i	$-0.0221702\pi$
$48$	0.410836	−	2.16946i	0.0592991	−	0.313134i
$49$	−1.88279	−	6.74204i	−0.268971	−	0.963148i
$50$	−4.58650	+	5.38182i	−0.648629	+	0.761105i
$51$	−0.570084	+	0.329138i	−0.0798277	+	0.0460885i
$52$	0.597499	−	2.61687i	0.0828582	−	0.362894i
$53$	2.53412	+	9.45747i	0.348088	+	1.29908i	0.888963	+	0.457980i	$0.151427\pi$
$53$	2.53412	+	9.45747i	0.348088	+	1.29908i	−0.540874	+	0.841104i	$0.681906\pi$
$54$	4.27232	−	1.23065i	0.581389	−	0.167471i
$55$	−0.460989	−	2.83175i	−0.0621598	−	0.381833i
$56$	6.20461	+	4.18364i	0.829126	+	0.559062i
$57$	−2.82521	+	2.82521i	−0.374208	+	0.374208i
$58$	−7.20174	−	3.98063i	−0.945635	−	0.522683i
$59$	−4.85880	−	2.80523i	−0.632562	−	0.365210i	0.149181	−	0.988810i	$-0.452336\pi$
$59$	−4.85880	−	2.80523i	−0.632562	−	0.365210i	−0.781744	+	0.623600i	$0.785669\pi$
$60$	0.155669	−	2.46372i	0.0200968	−	0.318065i
$61$	−0.740278	−	1.28220i	−0.0947829	−	0.164169i	0.814735	−	0.579833i	$-0.196882\pi$
$61$	−0.740278	−	1.28220i	−0.0947829	−	0.164169i	−0.909518	+	0.415665i	$0.863549\pi$
$62$	−3.49808	−	5.80590i	−0.444257	−	0.737350i
$63$	−0.893574	+	7.07487i	−0.112580	+	0.891349i
$64$	−7.94991	+	0.893843i	−0.993739	+	0.111730i
$65$	0.300864	−	2.98592i	0.0373176	−	0.370358i
$66$	0.721351	+	0.694919i	0.0887921	+	0.0855386i
$67$	−6.95204	+	1.86279i	−0.849326	+	0.227576i	−0.657127	−	0.753780i	$-0.728229\pi$
$67$	−6.95204	+	1.86279i	−0.849326	+	0.227576i	−0.192199	+	0.981356i	$0.561562\pi$
$68$	1.74823	+	1.62238i	0.212004	+	0.196742i
$69$		−	1.51482i		−	0.182362i
$70$	7.46243	+	3.78314i	0.891931	+	0.452171i
$71$	−8.21871			−0.975381			−0.487691	−	0.873017i	$-0.662161\pi$
$71$	−8.21871			−0.975381			−0.487691	+	0.873017i	$0.662161\pi$
$72$	−4.17515	−	6.37847i	−0.492047	−	0.751710i
$73$	2.84755	+	10.6272i	0.333281	+	1.24382i	0.905721	+	0.423875i	$0.139330\pi$
$73$	2.84755	+	10.6272i	0.333281	+	1.24382i	−0.572440	+	0.819947i	$0.694003\pi$
$74$	4.29154	−	4.45477i	0.498881	−	0.517856i
$75$	−0.168134	−	2.75489i	−0.0194144	−	0.318107i
$76$	12.7981	+	6.76527i	1.46804	+	0.776030i
$77$	−3.12940	+	1.31557i	−0.356628	+	0.149924i
$78$	0.540698	+	0.897416i	0.0612220	+	0.101612i
$79$	−1.55856	+	0.899835i	−0.175352	+	0.101239i	−0.585107	−	0.810956i	$-0.698947\pi$
$79$	−1.55856	+	0.899835i	−0.175352	+	0.101239i	0.409755	+	0.912196i	$0.365614\pi$
$80$	−8.69630	+	2.09148i	−0.972276	+	0.233835i
$81$	3.17524	−	5.49967i	0.352804	−	0.611075i
$82$	5.98870	−	10.8347i	0.661341	−	1.19650i
$83$	6.32559	+	6.32559i	0.694324	+	0.694324i	0.963180	−	0.268856i	$-0.0866457\pi$
$83$	6.32559	+	6.32559i	0.694324	+	0.694324i	−0.268856	+	0.963180i	$0.586646\pi$
$84$	−2.87708	+	0.504194i	−0.313916	+	0.0550121i
$85$	2.16401	+	1.55808i	0.234720	+	0.168997i
$86$	16.6515	−	4.79650i	1.79557	−	0.517220i
$87$	3.10241	−	0.831287i	0.332613	−	0.0891234i
$88$	1.63584	−	3.23947i	0.174381	−	0.345328i
$89$	1.07554	+	1.86290i	0.114007	+	0.197467i	0.917383	−	0.398007i	$-0.130298\pi$
$89$	1.07554	+	1.86290i	0.114007	+	0.197467i	−0.803375	+	0.595473i	$0.796965\pi$
$90$	−5.51451	−	6.49894i	−0.581280	−	0.685048i
$91$	−3.51801	+	0.482002i	−0.368788	+	0.0505276i
$92$	−5.24472	+	1.61733i	−0.546800	+	0.168618i
$93$	2.55558	+	0.684766i	0.265002	+	0.0710070i
$94$	4.37781	−	4.54432i	0.451537	−	0.468711i
$95$	15.1347	+	5.73514i	1.55278	+	0.588413i
$96$	1.99269	−	2.40413i	0.203378	−	0.245370i
$97$	10.7317	+	10.7317i	1.08964	+	1.08964i	0.995566	+	0.0940703i	$0.0299879\pi$
$97$	10.7317	+	10.7317i	1.08964	+	1.08964i	0.0940703	+	0.995566i	$0.470012\pi$
$98$	2.28205	−	9.63287i	0.230522	−	0.973067i
$99$	3.45824			0.347567
$100$	−9.35870	+	3.52346i	−0.935870	+	0.352346i
$101$	−2.71795	+	4.70762i	−0.270446	+	0.468426i	−0.968976	−	0.247155i	$-0.920504\pi$
$101$	−2.71795	+	4.70762i	−0.270446	+	0.468426i	0.698530	+	0.715581i	$0.253838\pi$
$102$	−0.930781	+	0.0173710i	−0.0921610	+	0.00171999i
$103$	−12.6472	−	3.38882i	−1.24617	−	0.333910i	−0.425313	−	0.905046i	$-0.639836\pi$
$103$	−12.6472	−	3.38882i	−1.24617	−	0.333910i	−0.820855	+	0.571136i	$0.806503\pi$
$104$	2.52982	−	2.83020i	0.248069	−	0.277524i
$105$	−3.12220	+	0.957400i	−0.304696	+	0.0934327i
$106$	−3.33360	+	13.4394i	−0.323787	+	1.30535i
$107$	−0.378632	+	1.41308i	−0.0366038	+	0.136607i	−0.981810	−	0.189868i	$-0.939194\pi$
$107$	−0.378632	+	1.41308i	−0.0366038	+	0.136607i	0.945206	+	0.326475i	$0.105861\pi$
$108$	6.12989	+	1.39961i	0.589849	+	0.134678i
$109$	−8.33536	+	14.4373i	−0.798383	+	1.38284i	0.122286	+	0.992495i	$0.460978\pi$
$109$	−8.33536	+	14.4373i	−0.798383	+	1.38284i	−0.920669	+	0.390345i	$0.872356\pi$
$110$	1.36671	−	3.82031i	0.130310	−	0.364252i
$111$			2.41442i			0.229166i
$112$	4.81745	+	9.42296i	0.455207	+	0.890386i
$113$	4.54622	+	4.54622i	0.427672	+	0.427672i	0.887835	−	0.460162i	$-0.152209\pi$
$113$	4.54622	+	4.54622i	0.427672	+	0.427672i	−0.460162	+	0.887835i	$0.652209\pi$
$114$	−5.42965	+	1.56402i	−0.508533	+	0.146484i
$115$	−5.59497	+	2.51991i	−0.521733	+	0.234983i
$116$	−6.19051	−	9.85386i	−0.574775	−	0.914908i
$117$	3.49411	+	0.936244i	0.323031	+	0.0865558i
$118$	−4.09472	−	6.79616i	−0.376950	−	0.625637i
$119$	1.19205	−	2.92126i	0.109275	−	0.267791i
$120$	1.87818	−	2.94291i	0.171454	−	0.268650i
$121$	−4.67687	−	8.10057i	−0.425170	−	0.736416i
$122$	−0.0390699	−	2.09346i	−0.00353722	−	0.189533i
$123$	1.25064	+	4.66744i	0.112766	+	0.420849i
$124$	−0.357677	−	9.57926i	−0.0321204	−	0.860243i
$125$	−9.89549	+	5.20378i	−0.885079	+	0.465441i
$126$	−5.94613	+	8.14542i	−0.529723	+	0.725652i
$127$	4.42486	−	4.42486i	0.392643	−	0.392643i	−0.482986	−	0.875628i	$-0.660448\pi$
$127$	4.42486	−	4.42486i	0.392643	−	0.392643i	0.875628	+	0.482986i	$0.160448\pi$
$128$	−10.4513	−	4.33244i	−0.923774	−	0.382937i
$129$	−3.38188	+	5.85759i	−0.297758	+	0.515732i
$130$	2.41515	−	3.48992i	0.211822	−	0.306086i
$131$	−0.782087	−	1.35461i	−0.0683312	−	0.118353i	0.829836	−	0.558008i	$-0.188434\pi$
$131$	−0.782087	−	1.35461i	−0.0683312	−	0.118353i	−0.898167	+	0.439655i	$0.855101\pi$
$132$	0.417419	+	1.35362i	0.0363317	+	0.117817i
$133$	2.39965	−	18.9992i	0.208076	−	1.64744i
$134$	−9.87911	−	2.45047i	−0.853425	−	0.211689i
$135$	6.99438	+	0.704760i	0.601981	+	0.0606561i
$136$	1.05391	+	3.20408i	0.0903724	+	0.274748i
$137$	3.09746	+	11.5599i	0.264634	+	0.987627i	0.962474	+	0.271374i	$0.0874779\pi$
$137$	3.09746	+	11.5599i	0.264634	+	0.987627i	−0.697840	+	0.716253i	$0.745855\pi$
$138$	1.03633	−	1.87493i	0.0882184	−	0.159604i
$139$			12.3684i			1.04907i	0.851388	+	0.524537i	$0.175761\pi$
$139$			12.3684i			1.04907i	−0.851388	+	0.524537i	$0.824239\pi$
$140$	6.64829	+	9.78776i	0.561883	+	0.827217i
$141$			2.46295i			0.207418i
$142$	−10.1725	−	5.62267i	−0.853658	−	0.471844i
$143$	0.445690	+	1.66334i	0.0372705	+	0.139095i
$144$	−0.803989	−	10.7511i	−0.0669991	−	0.895929i
$145$	−8.23123	−	10.0759i	−0.683566	−	0.836755i
$146$	−3.74591	+	15.1017i	−0.310014	+	1.24982i
$147$	1.96712	+	3.32582i	0.162246	+	0.274309i
$148$	8.35939	−	2.57781i	0.687138	−	0.211895i
$149$	6.64657	+	11.5122i	0.544508	+	0.943116i	0.998638	+	0.0521805i	$0.0166171\pi$
$149$	6.64657	+	11.5122i	0.544508	+	0.943116i	−0.454129	+	0.890936i	$0.650050\pi$
$150$	1.67660	−	3.52483i	0.136894	−	0.287801i
$151$	2.70246	−	4.68080i	0.219923	−	0.380918i	−0.734861	−	0.678218i	$-0.762753\pi$
$151$	2.70246	−	4.68080i	0.219923	−	0.380918i	0.954784	+	0.297300i	$0.0960861\pi$
$152$	11.2122	+	17.1291i	0.909429	+	1.38935i
$153$	−2.27278	+	2.27278i	−0.183743	+	0.183743i
$154$	−4.77336	−	0.512595i	−0.384648	−	0.0413061i
$155$	−1.72205	−	10.5781i	−0.138318	−	0.849657i
$156$	0.0552861	+	1.48066i	0.00442643	+	0.118548i
$157$	−4.05793	−	15.1444i	−0.323858	−	1.20866i	−0.915455	−	0.402421i	$-0.868169\pi$
$157$	−4.05793	−	15.1444i	−0.323858	−	1.20866i	0.591597	−	0.806234i	$-0.298498\pi$
$158$	−2.54468	+	0.0474909i	−0.202443	+	0.00377817i
$159$	−2.70236	−	4.68062i	−0.214311	−	0.371198i
$160$	−12.1945	−	3.36072i	−0.964059	−	0.265688i
$161$	4.45017	+	5.73681i	0.350722	+	0.452124i
$162$	7.69257	−	4.63481i	0.604385	−	0.364145i
$163$	−10.6850	−	2.86304i	−0.836914	−	0.224250i	−0.185186	−	0.982703i	$-0.559289\pi$
$163$	−10.6850	−	2.86304i	−0.836914	−	0.224250i	−0.651728	+	0.758453i	$0.725956\pi$
$164$	14.8247	−	9.31337i	1.15762	−	0.727252i
$165$	0.650366	+	1.44401i	0.0506309	+	0.112416i
$166$	3.50182	+	12.1569i	0.271794	+	0.943557i
$167$	0.783925	+	0.783925i	0.0606619	+	0.0606619i	0.736787	−	0.676125i	$-0.236342\pi$
$167$	0.783925	+	0.783925i	0.0606619	+	0.0606619i	−0.676125	+	0.736787i	$0.736342\pi$
$168$	−3.90598	−	1.34425i	−0.301353	−	0.103711i
$169$		−	11.1988i		−	0.861442i
$170$	1.61252	+	3.40894i	0.123675	+	0.261454i
$171$	−9.75438	+	16.8951i	−0.745936	+	1.29200i
$172$	23.8914	+	5.45503i	1.82170	+	0.415942i
$173$	−1.14348	+	4.26752i	−0.0869371	+	0.324454i	−0.995674	−	0.0929158i	$-0.970381\pi$
$173$	−1.14348	+	4.26752i	−0.0869371	+	0.324454i	0.908737	+	0.417370i	$0.137048\pi$
$174$	4.40864	+	1.09354i	0.334218	+	0.0829014i
$175$	8.72996	+	9.93920i	0.659923	+	0.751333i
$176$	4.24094	−	2.89045i	0.319673	−	0.217876i
$177$	2.99147	+	0.801561i	0.224852	+	0.0602490i
$178$	0.0567644	+	3.04157i	0.00425467	+	0.227975i
$179$	−6.66634	+	11.5464i	−0.498265	+	0.863021i	−0.999998	−	0.00200172i	$-0.999363\pi$
$179$	−6.66634	+	11.5464i	−0.498265	+	0.863021i	0.501733	+	0.865023i	$0.332696\pi$
$180$	−2.37933	−	11.8165i	−0.177345	−	0.880753i
$181$	−12.8601			−0.955884			−0.477942	−	0.878391i	$-0.658617\pi$
$181$	−12.8601			−0.955884			−0.477942	+	0.878391i	$0.658617\pi$
$182$	−4.68409	−	1.81019i	−0.347208	−	0.134180i
$183$	0.577899	+	0.577899i	0.0427195	+	0.0427195i
$184$	−7.59799	−	1.58626i	−0.560131	−	0.116941i
$185$	8.91763	−	4.01640i	0.655637	−	0.295291i
$186$	2.69464	+	2.59591i	0.197581	+	0.190341i
$187$	−1.47795	−	0.396015i	−0.108078	−	0.0289595i
$188$	8.52744	−	2.62963i	0.621928	−	0.191786i
$189$	−1.12907	−	8.24078i	−0.0821276	−	0.599429i
$190$	14.8090	+	17.4526i	1.07436	+	1.26615i
$191$	0.0168023	+	0.0291024i	0.00121577	+	0.00210578i	0.866633	−	0.498947i	$-0.166280\pi$
$191$	0.0168023	+	0.0291024i	0.00121577	+	0.00210578i	−0.865417	+	0.501053i	$0.832946\pi$
$192$	4.11114	−	1.61239i	0.296696	−	0.116364i
$193$	8.63446	−	2.31360i	0.621522	−	0.166536i	0.0657023	−	0.997839i	$-0.479071\pi$
$193$	8.63446	−	2.31360i	0.621522	−	0.166536i	0.555820	+	0.831303i	$0.312405\pi$
$194$	5.94100	+	20.6247i	0.426539	+	1.48077i
$195$	0.266177	+	1.63506i	0.0190613	+	0.117089i
$196$	9.41470	−	10.3616i	0.672478	−	0.740117i
$197$	17.0306	+	17.0306i	1.21338	+	1.21338i	0.969908	+	0.243472i	$0.0782865\pi$
$197$	17.0306	+	17.0306i	1.21338	+	1.21338i	0.243472	+	0.969908i	$0.421713\pi$
$198$	4.28036	+	2.36589i	0.304192	+	0.168136i
$199$	−12.6601	+	21.9279i	−0.897450	+	1.55443i	−0.0667073	+	0.997773i	$0.521249\pi$
$199$	−12.6601	+	21.9279i	−0.897450	+	1.55443i	−0.830743	+	0.556657i	$0.812084\pi$
$200$	−13.9940	−	2.04150i	−0.989526	−	0.144356i
$201$	3.44065	−	1.98646i	0.242685	−	0.140114i
$202$	−6.58470	+	3.96732i	−0.463298	+	0.279139i
$203$	−9.30710	+	12.2623i	−0.653231	+	0.860647i
$204$	−1.16394	−	0.615275i	−0.0814918	−	0.0430779i
$205$	15.1587	−	12.3835i	1.05873	−	0.864904i
$206$	−13.3354	−	12.8468i	−0.929122	−	0.895078i
$207$	−1.91434	−	7.14443i	−0.133056	−	0.496572i
$208$	5.06744	−	1.77228i	0.351364	−	0.122886i
$209$	−9.28696			−0.642393
$210$	−4.51942	−	0.950996i	−0.311870	−	0.0656250i
$211$		−	8.28830i		−	0.570590i	−0.958440	−	0.285295i	$-0.907908\pi$
$211$		−	8.28830i		−	0.570590i	0.958440	−	0.285295i	$-0.0920916\pi$
$212$	−13.3204	+	14.3537i	−0.914849	+	0.985817i
$213$	4.38217	−	1.17420i	0.300261	−	0.0804548i
$214$	−1.43537	+	1.48997i	−0.0981200	+	0.101852i
$215$	27.2608	+	2.74682i	1.85917	+	0.187332i
$216$	6.62960	+	5.92598i	0.451087	+	0.403212i
$217$	−11.6900	+	4.91439i	−0.793570	+	0.333611i
$218$	−20.1939	+	12.1669i	−1.36770	+	0.824047i
$219$	−3.03660	−	5.25955i	−0.205194	−	0.355407i
$220$	4.30520	−	3.79349i	0.290256	−	0.255757i
$221$	−1.38607	−	0.800245i	−0.0932368	−	0.0538303i
$222$	−1.65178	+	2.98839i	−0.110860	+	0.200567i
$223$	4.49574	−	4.49574i	0.301057	−	0.301057i	−0.540370	−	0.841427i	$-0.681716\pi$
$223$	4.49574	−	4.49574i	0.301057	−	0.301057i	0.841427	+	0.540370i	$0.181716\pi$
$224$	−0.483845	+	14.9588i	−0.0323283	+	0.999477i
$225$	−4.27447	−	12.7806i	−0.284965	−	0.852040i
$226$	2.51677	+	8.73718i	0.167413	+	0.581189i
$227$	−4.78833	−	17.8703i	−0.317813	−	1.18609i	−0.921342	−	0.388753i	$-0.872906\pi$
$227$	−4.78833	−	17.8703i	−0.317813	−	1.18609i	0.603529	−	0.797341i	$-0.293761\pi$
$228$	−7.79041	−	1.77875i	−0.515933	−	0.117801i
$229$	23.2888	−	13.4458i	1.53896	−	0.888521i	0.540064	−	0.841624i	$-0.318400\pi$
$229$	23.2888	−	13.4458i	1.53896	−	0.888521i	0.998900	−	0.0468975i	$-0.0149334\pi$
$230$	−8.64898	−	0.708731i	−0.570297	−	0.0467324i
$231$	1.48062	−	1.14855i	0.0974177	−	0.0755691i
$232$	−0.920832	−	16.4315i	−0.0604556	−	1.07878i
$233$	4.00613	−	14.9511i	0.262451	−	0.979479i	−0.701342	−	0.712825i	$-0.747415\pi$
$233$	4.00613	−	14.9511i	0.262451	−	0.979479i	0.963792	−	0.266654i	$-0.0859180\pi$
$234$	3.68424	+	3.54924i	0.240846	+	0.232021i
$235$	9.09691	−	4.09714i	0.593417	−	0.267268i
$236$	−0.418683	−	11.2131i	−0.0272540	−	0.729911i
$237$	0.702457	−	0.702457i	0.0456295	−	0.0456295i
$238$	3.47396	−	2.80020i	0.225183	−	0.181510i
$239$			3.51057i			0.227080i	0.993533	+	0.113540i	$0.0362189\pi$
$239$			3.51057i			0.227080i	−0.993533	+	0.113540i	$0.963781\pi$
$240$	4.33801	−	2.35760i	0.280017	−	0.152182i
$241$	−17.8783	−	10.3220i	−1.15164	−	0.664901i	−0.202355	−	0.979312i	$-0.564859\pi$
$241$	−17.8783	−	10.3220i	−1.15164	−	0.664901i	−0.949287	+	0.314412i	$0.898193\pi$
$242$	−0.246833	−	13.2259i	−0.0158670	−	0.850192i
$243$	−3.34833	+	12.4961i	−0.214795	+	0.801627i
$244$	1.38384	−	2.61786i	0.0885913	−	0.167591i
$245$	9.01159	−	12.7981i	0.575730	−	0.817640i
$246$	−1.64519	+	6.63261i	−0.104894	+	0.422880i
$247$	−9.38328	−	2.51424i	−0.597044	−	0.159977i
$248$	6.11076	−	12.1012i	0.388033	−	0.768427i
$249$	−4.27650	−	2.46904i	−0.271012	−	0.156469i
$250$	−15.8080	−	0.328945i	−0.999784	−	0.0208043i
$251$	27.5332			1.73788			0.868942	−	0.494915i	$-0.164801\pi$
$251$	27.5332			1.73788			0.868942	+	0.494915i	$0.164801\pi$
$252$	−12.9322	+	6.01387i	−0.814653	+	0.378838i
$253$	2.48973	−	2.48973i	0.156528	−	0.156528i
$254$	8.50394	−	2.44958i	0.533585	−	0.153700i
$255$	−1.37644	−	0.521589i	−0.0861959	−	0.0326632i
$256$	−9.97191	−	12.5124i	−0.623244	−	0.782027i
$257$	−0.330474	+	1.23335i	−0.0206144	+	0.0769341i	−0.975467	−	0.220147i	$-0.929346\pi$
$257$	−0.330474	+	1.23335i	−0.0206144	+	0.0769341i	0.954852	+	0.297081i	$0.0960131\pi$
$258$	−8.19320	+	4.93645i	−0.510087	+	0.307330i
$259$	−7.09298	−	9.14372i	−0.440736	−	0.568163i
$260$	5.37685	−	2.66729i	0.333458	−	0.165418i
$261$	13.5816	−	7.84132i	0.840677	−	0.485365i
$262$	−0.0412765	−	2.21169i	−0.00255007	−	0.136639i
$263$	−26.7809	+	7.17592i	−1.65138	+	0.442486i	−0.959999	−	0.280003i	$-0.909665\pi$
$263$	−26.7809	+	7.17592i	−1.65138	+	0.442486i	−0.691382	+	0.722489i	$0.742998\pi$
$264$	−0.409400	+	1.96098i	−0.0251968	+	0.120690i
$265$	−12.7925	+	17.7674i	−0.785835	+	1.09144i
$266$	15.9681	−	21.8742i	0.979066	−	1.34119i
$267$	−0.839624	−	0.839624i	−0.0513842	−	0.0513842i
$268$	−10.5512	−	9.79161i	−0.644516	−	0.598118i
$269$	−0.0179470	−	0.0103617i	−0.00109425	−	0.000631765i	0.499453	−	0.866341i	$-0.333534\pi$
$269$	−0.0179470	−	0.0103617i	−0.00109425	−	0.000631765i	−0.500547	+	0.865709i	$0.666868\pi$
$270$	8.17498	+	5.65737i	0.497513	+	0.344297i
$271$	−14.9586	+	8.63638i	−0.908673	+	0.524623i	−0.880004	−	0.474966i	$-0.842460\pi$
$271$	−14.9586	+	8.63638i	−0.908673	+	0.524623i	−0.0286690	+	0.999589i	$0.509127\pi$
$272$	−0.887550	+	4.68679i	−0.0538156	+	0.284178i
$273$	1.80692	−	0.759616i	0.109360	−	0.0459740i
$274$	−4.07466	+	16.4270i	−0.246159	+	0.992393i
$275$	4.25156	−	4.80425i	0.256379	−	0.289707i
$276$	2.56539	−	1.61166i	0.154418	−	0.0970105i
$277$	18.3004	−	4.90358i	1.09956	−	0.294628i	0.336977	−	0.941513i	$-0.390595\pi$
$277$	18.3004	−	4.90358i	1.09956	−	0.294628i	0.762587	+	0.646885i	$0.223929\pi$
$278$	−8.46159	+	15.3087i	−0.507493	+	0.918153i
$279$	12.9184			0.773407
$280$	1.53265	+	16.6629i	0.0915936	+	0.995796i
$281$	23.1293			1.37978			0.689889	−	0.723915i	$-0.257659\pi$
$281$	23.1293			1.37978			0.689889	+	0.723915i	$0.257659\pi$
$282$	−1.68498	+	3.04846i	−0.100339	+	0.181533i
$283$	−6.91238	+	1.85217i	−0.410898	+	0.110100i	−0.458346	−	0.888774i	$-0.651558\pi$
$283$	−6.91238	+	1.85217i	−0.410898	+	0.110100i	0.0474478	+	0.998874i	$0.484891\pi$
$284$	−8.74414	−	13.9186i	−0.518869	−	0.825920i
$285$	−8.88909	−	0.895673i	−0.526544	−	0.0530551i
$286$	−0.586298	+	2.36367i	−0.0346685	+	0.139767i
$287$	−18.4482	−	14.0022i	−1.08896	−	0.826521i
$288$	6.36007	−	13.8570i	0.374771	−	0.816532i
$289$	−13.4909	+	7.78895i	−0.793579	+	0.458173i
$290$	−3.29480	−	18.1024i	−0.193477	−	1.06301i
$291$	−7.25529	−	4.18884i	−0.425313	−	0.245554i
$292$	−14.9679	+	16.1291i	−0.875932	+	0.943882i
$293$	−17.1690	−	17.1690i	−1.00302	−	1.00302i	−0.999995	−	0.00302854i	$-0.999036\pi$
$293$	−17.1690	−	17.1690i	−1.00302	−	1.00302i	−0.00302854	−	0.999995i	$-0.500964\pi$
$294$	0.159462	+	5.46223i	0.00930001	+	0.318564i
$295$	−2.01576	−	12.3824i	−0.117362	−	0.720929i
$296$	12.1102	+	2.52829i	0.703891	+	0.146954i
$297$	−3.89629	+	1.04401i	−0.226086	+	0.0605795i
$298$	0.350789	+	18.7961i	0.0203206	+	1.08883i
$299$	3.18960	−	1.84151i	0.184459	−	0.106497i
$300$	4.48661	−	3.21576i	0.259035	−	0.185662i
$301$	−4.40057	−	32.1187i	−0.253645	−	1.85129i
$302$	6.54718	−	3.94471i	0.376748	−	0.226992i
$303$	0.776621	−	2.89839i	0.0446157	−	0.166508i
$304$	2.15908	+	28.8717i	0.123832	+	1.65591i
$305$	1.17313	−	3.09580i	0.0671731	−	0.177265i
$306$	−4.36795	+	1.25820i	−0.249699	+	0.0719265i
$307$	4.12127	−	4.12127i	0.235213	−	0.235213i	−0.579651	−	0.814865i	$-0.696811\pi$
$307$	4.12127	−	4.12127i	0.235213	−	0.235213i	0.814865	+	0.579651i	$0.196811\pi$
$308$	−5.55743	−	3.90005i	−0.316664	−	0.222226i
$309$	7.22759			0.411163
$310$	5.10541	−	14.2710i	0.289968	−	0.810536i
$311$	4.81417	+	2.77946i	0.272987	+	0.157609i	0.630244	−	0.776397i	$-0.282955\pi$
$311$	4.81417	+	2.77946i	0.272987	+	0.157609i	−0.357257	+	0.934006i	$0.616288\pi$
$312$	−0.944537	+	1.87048i	−0.0534739	+	0.105895i
$313$	−8.72261	−	2.33722i	−0.493031	−	0.132107i	0.00373276	−	0.999993i	$-0.498812\pi$
$313$	−8.72261	−	2.33722i	−0.493031	−	0.132107i	−0.496764	+	0.867886i	$0.665478\pi$
$314$	5.33814	−	21.5208i	0.301249	−	1.21449i
$315$	−13.5156	+	8.46113i	−0.761515	+	0.476731i
$316$	−3.18210	−	1.68211i	−0.179007	−	0.0946260i
$317$	−3.33862	+	12.4599i	−0.187516	+	0.699818i	0.806562	+	0.591149i	$0.201326\pi$
$317$	−3.33862	+	12.4599i	−0.187516	+	0.699818i	−0.994078	+	0.108669i	$0.965341\pi$
$318$	−0.142623	−	7.64210i	−0.00799792	−	0.428547i
$319$	6.46537	+	3.73278i	0.361991	+	0.208996i
$320$	−12.7943	−	12.5023i	−0.715221	−	0.698898i
$321$		−	0.807539i		−	0.0450724i
$322$	1.58336	+	10.1451i	0.0882373	+	0.565364i
$323$	6.10345	−	6.10345i	0.339605	−	0.339605i
$324$	12.6921	−	0.473907i	0.705117	−	0.0263282i
$325$	5.59630	−	3.70306i	0.310427	−	0.205409i
$326$	−11.2664	−	10.8536i	−0.623989	−	0.601125i
$327$	2.38173	−	8.88874i	0.131710	−	0.491548i
$328$	24.7205	−	1.38535i	1.36496	−	0.0764933i
$329$	−7.23557	−	9.32754i	−0.398910	−	0.514244i
$330$	−0.182918	+	2.23223i	−0.0100693	+	0.122880i
$331$	−13.3045	+	7.68138i	−0.731283	+	0.422207i	−0.818892	−	0.573948i	$-0.805411\pi$
$331$	−13.3045	+	7.68138i	−0.731283	+	0.422207i	0.0876080	+	0.996155i	$0.472078\pi$
$332$	−3.98260	+	17.4426i	−0.218573	+	0.957286i
$333$	3.05121	+	11.3873i	0.167205	+	0.624019i
$334$	0.433977	+	1.50659i	0.0237462	+	0.0824370i
$335$	−13.0605	−	9.40354i	−0.713573	−	0.513770i
$336$	−3.91489	−	4.33600i	−0.213575	−	0.236548i
$337$	−15.1624	+	15.1624i	−0.825948	+	0.825948i	−0.986953	−	0.161006i	$-0.948526\pi$
$337$	−15.1624	+	15.1624i	−0.825948	+	0.825948i	0.161006	+	0.986953i	$0.448526\pi$
$338$	7.66141	−	13.8610i	0.416726	−	0.753938i
$339$	−3.07353	−	1.77451i	−0.166931	−	0.0963779i
$340$	−0.336300	+	5.32250i	−0.0182384	+	0.288653i
$341$	3.07485	+	5.32580i	0.166513	+	0.288408i
$342$	−23.6317	+	14.2382i	−1.27786	+	0.769915i
$343$	−17.2202	−	6.81640i	−0.929806	−	0.368051i
$344$	25.8391	+	23.0967i	1.39315	+	1.24529i
$345$	2.62319	−	2.14295i	0.141228	−	0.115372i
$346$	−4.33486	+	4.49973i	−0.233043	+	0.241907i
$347$	4.07903	−	1.09297i	0.218974	−	0.0586738i	−0.147664	−	0.989038i	$-0.547175\pi$
$347$	4.07903	−	1.09297i	0.218974	−	0.0586738i	0.366638	+	0.930364i	$0.380509\pi$
$348$	4.70856	+	4.36959i	0.252405	+	0.234235i
$349$		−	10.0424i		−	0.537556i	−0.963202	−	0.268778i	$-0.913380\pi$
$349$		−	10.0424i		−	0.537556i	0.963202	−	0.268778i	$-0.0866197\pi$
$350$	4.00559	+	18.2744i	0.214108	+	0.976810i
$351$	−4.21934			−0.225212
$352$	7.22656	−	0.676227i	0.385177	−	0.0360430i
$353$	0.782491	+	2.92030i	0.0416478	+	0.155432i	0.983618	−	0.180264i	$-0.0576953\pi$
$353$	0.782491	+	2.92030i	0.0416478	+	0.155432i	−0.941970	+	0.335696i	$0.891029\pi$
$354$	3.15424	+	3.03867i	0.167646	+	0.161503i
$355$	−11.6267	−	14.2322i	−0.617079	−	0.755368i
$356$	−2.01057	+	3.80346i	−0.106560	+	0.201583i
$357$	−0.218239	+	1.72791i	−0.0115504	+	0.0914505i
$358$	−16.1504	+	9.73068i	−0.853573	+	0.514282i
$359$	15.9408	−	9.20343i	0.841324	−	0.485739i	−0.0163902	−	0.999866i	$-0.505217\pi$
$359$	15.9408	−	9.20343i	0.841324	−	0.485739i	0.857714	+	0.514127i	$0.171884\pi$
$360$	5.13910	−	16.2534i	0.270854	−	0.856630i
$361$	16.6950	−	28.9165i	0.878683	−	1.52192i
$362$	−15.9173	−	8.79799i	−0.836594	−	0.462412i
$363$	3.65100	+	3.65100i	0.191628	+	0.191628i
$364$	−4.55921	−	5.44505i	−0.238968	−	0.285398i
$365$	−14.3747	+	19.9650i	−0.752406	+	1.04501i
$366$	0.319922	+	1.11064i	0.0167226	+	0.0580540i
$367$	28.6055	−	7.66482i	1.49319	−	0.400100i	0.582380	−	0.812917i	$-0.302122\pi$
$367$	28.6055	−	7.66482i	1.49319	−	0.400100i	0.910814	+	0.412816i	$0.135455\pi$
$368$	−8.31902	−	7.16137i	−0.433659	−	0.373312i
$369$	11.7969	+	20.4329i	0.614124	+	1.06369i
$370$	13.7853	+	1.12962i	0.716665	+	0.0587264i
$371$	23.9848	+	9.78726i	1.24523	+	0.508129i
$372$	1.55929	+	5.05651i	0.0808455	+	0.262168i
$373$	15.1302	+	4.05413i	0.783412	+	0.209915i	0.628289	−	0.777980i	$-0.283756\pi$
$373$	15.1302	+	4.05413i	0.783412	+	0.209915i	0.155124	+	0.987895i	$0.450422\pi$
$374$	−1.55837	−	1.50127i	−0.0805814	−	0.0776288i
$375$	4.53276	−	4.18839i	0.234071	−	0.216287i
$376$	12.3536	+	2.57912i	0.637091	+	0.133008i
$377$	5.52185	+	5.52185i	0.284390	+	0.284390i
$378$	4.24029	−	10.9723i	0.218097	−	0.564352i
$379$	21.4980			1.10428			0.552139	−	0.833752i	$-0.313812\pi$
$379$	21.4980			1.10428			0.552139	+	0.833752i	$0.313812\pi$
$380$	6.38959	+	31.7328i	0.327779	+	1.62786i
$381$	−1.72713	+	2.99149i	−0.0884838	+	0.153258i
$382$	0.000886781		0.0475158i	4.53717e−5		0.00243112i
$383$	7.27512	+	1.94936i	0.371741	+	0.0996078i	0.439853	−	0.898070i	$-0.355031\pi$
$383$	7.27512	+	1.94936i	0.371741	+	0.0996078i	−0.0681114	+	0.997678i	$0.521697\pi$
$384$	6.19155	+	0.816865i	0.315961	+	0.0416855i
$385$	−6.70519	−	3.55805i	−0.341728	−	0.181335i
$386$	12.2699	+	3.04350i	0.624521	+	0.154910i
$387$	−8.54769	+	31.9004i	−0.434504	+	1.62159i
$388$	−6.75667	+	29.5922i	−0.343018	+	1.50232i
$389$	8.66230	−	15.0036i	0.439196	−	0.760710i	−0.558431	−	0.829551i	$-0.688597\pi$
$389$	8.66230	−	15.0036i	0.439196	−	0.760710i	0.997628	+	0.0688404i	$0.0219299\pi$
$390$	−0.789141	+	2.20586i	−0.0399597	+	0.111698i
$391$			3.27253i			0.165499i
$392$	18.7415	−	6.38399i	0.946590	−	0.322440i
$393$	0.610537	+	0.610537i	0.0307975	+	0.0307975i
$394$	9.42807	+	32.7304i	0.474979	+	1.64893i
$395$	−3.76306	−	1.42598i	−0.189340	−	0.0717488i
$396$	3.67933	+	5.85665i	0.184893	+	0.294308i
$397$	−18.9355	−	5.07375i	−0.950345	−	0.254644i	−0.249836	−	0.968288i	$-0.580377\pi$
$397$	−18.9355	−	5.07375i	−0.950345	−	0.254644i	−0.700508	+	0.713644i	$0.747043\pi$
$398$	−30.6713	+	18.4796i	−1.53741	+	0.926299i
$399$	1.43492	+	10.4731i	0.0718359	+	0.524312i
$400$	−15.9241	−	12.1005i	−0.796205	−	0.605027i
$401$	15.0846	+	26.1274i	0.753291	+	1.30474i	0.946219	+	0.323526i	$0.104868\pi$
$401$	15.0846	+	26.1274i	0.753291	+	1.30474i	−0.192928	+	0.981213i	$0.561798\pi$
$402$	5.61758	−	0.104840i	0.280180	−	0.00522895i
$403$	1.66490	+	6.21348i	0.0829345	+	0.309516i
$404$	−10.8642	+	0.405656i	−0.540515	+	0.0201821i
$405$	14.0156	−	2.28164i	0.696440	−	0.113376i
$406$	−19.9087	+	8.81013i	−0.988051	+	0.437239i
$407$	−3.96830	+	3.96830i	−0.196702	+	0.196702i
$408$	−1.01971	−	1.55783i	−0.0504829	−	0.0771238i
$409$	8.97934	−	15.5527i	0.444000	−	0.769031i	−0.553982	−	0.832529i	$-0.686892\pi$
$409$	8.97934	−	15.5527i	0.444000	−	0.769031i	0.997982	+	0.0634981i	$0.0202257\pi$
$410$	27.2343	−	4.95689i	1.34501	−	0.244803i
$411$	−3.30310	−	5.72113i	−0.162930	−	0.282203i
$412$	−7.71672	−	25.0240i	−0.380175	−	1.23284i
$413$	−13.6839	+	5.75260i	−0.673340	+	0.283067i
$414$	2.51829	−	10.1525i	0.123767	−	0.498969i
$415$	−2.00539	+	19.9025i	−0.0984409	+	0.976975i
$416$	7.48458	+	1.27319i	0.366962	+	0.0624234i
$417$	−1.76706	−	6.59476i	−0.0865333	−	0.322947i
$418$	−11.4947	−	6.35349i	−0.562225	−	0.310760i
$419$		−	16.6398i		−	0.812909i	−0.913671	−	0.406454i	$-0.866765\pi$
$419$		−	16.6398i		−	0.812909i	0.913671	−	0.406454i	$-0.133235\pi$
$420$	−4.94320	−	4.26895i	−0.241203	−	0.208303i
$421$			20.9107i			1.01913i	0.860433	+	0.509563i	$0.170193\pi$
$421$			20.9107i			1.01913i	−0.860433	+	0.509563i	$0.829807\pi$
$422$	5.67028	−	10.2586i	0.276025	−	0.499383i
$423$	3.11255	+	11.6162i	0.151337	+	0.564799i
$424$	−26.3068	+	8.65308i	−1.27757	+	0.420230i
$425$	0.363228	+	5.95153i	0.0176192	+	0.288692i
$426$	6.22723	+	1.54464i	0.301710	+	0.0748380i
$427$	−3.88631	−	0.490851i	−0.188072	−	0.0237539i
$428$	−2.79593	+	0.862189i	−0.135146	+	0.0416755i
$429$	−0.475279	−	0.823207i	−0.0229467	−	0.0397448i
$430$	31.8622	+	22.0497i	1.53653	+	1.06333i
$431$	−8.69901	+	15.0671i	−0.419016	+	0.725758i	−0.995841	−	0.0911105i	$-0.970958\pi$
$431$	−8.69901	+	15.0671i	−0.419016	+	0.725758i	0.576824	+	0.816868i	$0.304292\pi$
$432$	4.15149	+	11.8703i	0.199739	+	0.571108i
$433$	15.5789	−	15.5789i	0.748673	−	0.748673i	−0.225557	−	0.974230i	$-0.572420\pi$
$433$	15.5789	−	15.5789i	0.748673	−	0.748673i	0.974230	+	0.225557i	$0.0724203\pi$
$434$	−17.8311	−	1.91482i	−0.855921	−	0.0919145i
$435$	5.82838	+	4.19641i	0.279449	+	0.201202i
$436$	−33.3182	+	1.24406i	−1.59565	+	0.0595797i
$437$	5.14089	+	19.1861i	0.245922	+	0.917794i
$438$	−0.160264	−	8.58731i	−0.00765770	−	0.410317i
$439$	11.6959	+	20.2579i	0.558216	+	0.966858i	0.997646	+	0.0685810i	$0.0218472\pi$
$439$	11.6959	+	20.2579i	0.558216	+	0.966858i	−0.439430	+	0.898277i	$0.644820\pi$
$440$	7.92390	−	1.74998i	0.377757	−	0.0834271i
$441$	13.4807	+	13.1999i	0.641937	+	0.628565i
$442$	−1.16810	−	1.93873i	−0.0555607	−	0.0922162i
$443$	−17.6514	−	4.72968i	−0.838644	−	0.224714i	−0.186163	−	0.982519i	$-0.559605\pi$
$443$	−17.6514	−	4.72968i	−0.838644	−	0.224714i	−0.652481	+	0.757805i	$0.726272\pi$
$444$	−4.08889	+	2.56877i	−0.194050	+	0.121909i
$445$	−1.70443	+	4.49787i	−0.0807976	+	0.213219i
$446$	8.64017	−	2.48882i	0.409124	−	0.117849i
$447$	−5.18865	−	5.18865i	−0.245415	−	0.245415i
$448$	−10.8326	+	18.1839i	−0.511794	+	0.859108i
$449$		−	13.2553i		−	0.625555i	−0.949826	−	0.312778i	$-0.898741\pi$
$449$		−	13.2553i		−	0.625555i	0.949826	−	0.312778i	$-0.101259\pi$
$450$	3.45298	−	18.7432i	0.162775	−	0.883562i
$451$	−5.61582	+	9.72688i	−0.264439	+	0.458021i
$452$	−2.86230	+	12.5360i	−0.134631	+	0.589646i
$453$	−0.772195	+	2.88187i	−0.0362809	+	0.135402i
$454$	6.29897	−	25.3944i	0.295625	−	1.19182i
$455$	−5.81146	−	5.41023i	−0.272446	−	0.253636i
$456$	−8.42550	−	7.53127i	−0.394560	−	0.352684i
$457$	21.1477	+	5.66652i	0.989250	+	0.265069i	0.716935	−	0.697140i	$-0.245544\pi$
$457$	21.1477	+	5.66652i	0.989250	+	0.265069i	0.272315	+	0.962208i	$0.412211\pi$
$458$	38.0237	−	0.709632i	1.77673	−	0.0331589i
$459$	1.87454	−	3.24679i	0.0874959	−	0.151547i
$460$	−10.2202	−	6.79424i	−0.476519	−	0.316783i
$461$	−22.2467			−1.03613			−0.518065	−	0.855341i	$-0.673348\pi$
$461$	−22.2467			−1.03613			−0.518065	+	0.855341i	$0.673348\pi$
$462$	2.61836	−	0.408652i	0.121817	−	0.0190122i
$463$	−7.71129	−	7.71129i	−0.358374	−	0.358374i	0.504839	−	0.863213i	$-0.331552\pi$
$463$	−7.71129	−	7.71129i	−0.358374	−	0.358374i	−0.863213	+	0.504839i	$0.831552\pi$
$464$	10.1016	−	20.9677i	0.468953	−	0.973399i
$465$	2.42948	+	5.39418i	0.112664	+	0.250149i
$466$	15.1870	−	15.7646i	0.703524	−	0.730283i
$467$	−3.97948	−	1.06630i	−0.184149	−	0.0493425i	0.165566	−	0.986199i	$-0.447055\pi$
$467$	−3.97948	−	1.06630i	−0.184149	−	0.0493425i	−0.349715	+	0.936856i	$0.613722\pi$
$468$	2.13193	+	6.91348i	0.0985486	+	0.319576i
$469$	−7.19446	+	17.6308i	−0.332209	+	0.814115i
$470$	14.0625	+	1.15233i	0.648653	+	0.0531532i
$471$	4.32733	+	7.49516i	0.199393	+	0.345359i
$472$	7.15301	−	14.1652i	0.329244	−	0.652006i
$473$	−15.1859	+	4.06905i	−0.698248	+	0.187095i
$474$	1.35002	−	0.388877i	0.0620086	−	0.0178617i
$475$	11.4789	+	34.3218i	0.526688	+	1.57479i
$476$	6.21551	−	1.08924i	0.284887	−	0.0499251i
$477$	−18.6604	−	18.6604i	−0.854403	−	0.854403i
$478$	−2.40168	+	4.34512i	−0.109850	+	0.198741i
$479$	4.18044	−	7.24074i	0.191009	−	0.330838i	−0.754576	−	0.656213i	$-0.772157\pi$
$479$	4.18044	−	7.24074i	0.191009	−	0.330838i	0.945585	+	0.325375i	$0.105491\pi$
$480$	6.98218	+	0.0497034i	0.318691	+	0.00226864i
$481$	−5.08379	+	2.93513i	−0.231801	+	0.133830i
$482$	−15.0668	−	25.0069i	−0.686274	−	1.13903i
$483$	−3.19242	−	2.42304i	−0.145260	−	0.110252i
$484$	8.74271	−	16.5389i	0.397396	−	0.751767i
$485$	−3.40225	+	33.7655i	−0.154488	+	1.53321i
$486$	−12.6933	+	13.1761i	−0.575780	+	0.597680i
$487$	−0.329828	−	1.23094i	−0.0149459	−	0.0557790i	0.958050	−	0.286601i	$-0.0925253\pi$
$487$	−0.329828	−	1.23094i	−0.0149459	−	0.0557790i	−0.972996	+	0.230822i	$0.925859\pi$
$488$	3.50377	−	2.29346i	0.158608	−	0.103820i
$489$	6.10622			0.276133
$490$	19.9094	−	9.67543i	0.899417	−	0.437091i
$491$		−	39.3723i		−	1.77685i	−0.459025	−	0.888423i	$-0.651801\pi$
$491$		−	39.3723i		−	1.77685i	0.459025	−	0.888423i	$-0.348199\pi$
$492$	−6.57387	+	7.08383i	−0.296373	+	0.319364i
$493$	−6.70229	+	1.79587i	−0.301856	+	0.0808820i
$494$	−9.89386	−	9.53133i	−0.445146	−	0.428835i
$495$	4.89223	+	5.98860i	0.219890	+	0.269167i
$496$	15.8422	−	10.7974i	0.711337	−	0.484818i
$497$	−13.1463	+	17.3206i	−0.589694	+	0.776936i
$498$	−3.60399	−	5.98168i	−0.161499	−	0.268045i
$499$	10.2590	+	17.7690i	0.459254	+	0.795452i	0.998922	−	0.0464266i	$-0.0147834\pi$
$499$	10.2590	+	17.7690i	0.459254	+	0.795452i	−0.539667	+	0.841878i	$0.681450\pi$
$500$	−19.3409	−	11.2219i	−0.864951	−	0.501857i
$501$	−0.529983	−	0.305986i	−0.0236779	−	0.0136704i
$502$	34.0786	+	18.8363i	1.52100	+	0.840707i
$503$	26.1429	−	26.1429i	1.16565	−	1.16565i	0.182435	−	0.983218i	$-0.441602\pi$
$503$	26.1429	−	26.1429i	1.16565	−	1.16565i	0.983218	−	0.182435i	$-0.0583981\pi$
$504$	−20.1208	−	1.40379i	−0.896252	−	0.0625299i
$505$	−11.9971	+	1.95304i	−0.533864	+	0.0869093i
$506$	4.78491	−	1.37831i	0.212715	−	0.0612731i
$507$	1.59995	+	5.97111i	0.0710565	+	0.265186i
$508$	12.2014	+	2.78589i	0.541349	+	0.123604i
$509$	−34.0622	+	19.6658i	−1.50978	+	0.871673i	−0.509847	+	0.860265i	$0.670298\pi$
$509$	−34.0622	+	19.6658i	−1.50978	+	0.871673i	−0.999935	+	0.0114076i	$0.996369\pi$
$510$	−1.34682	−	1.58725i	−0.0596381	−	0.0702845i
$511$	26.9513	+	10.9978i	1.19226	+	0.486514i
$512$	−3.78235	−	22.3091i	−0.167158	−	0.985930i
$513$	5.88949	−	21.9799i	0.260028	−	0.970436i
$514$	−1.25281	+	1.30046i	−0.0552590	+	0.0573608i
$515$	−12.0231	−	26.6951i	−0.529803	−	1.17633i
$516$	−13.5181	+	0.504749i	−0.595102	+	0.0222203i
$517$	−4.04808	+	4.04808i	−0.178034	+	0.178034i
$518$	−2.52367	−	16.1699i	−0.110884	−	0.710466i
$519$		−	2.43879i		−	0.107051i
$520$	8.47984	+	0.377092i	0.371866	+	0.0165366i
$521$	−15.4506	−	8.92038i	−0.676901	−	0.390809i	0.121785	−	0.992556i	$-0.461138\pi$
$521$	−15.4506	−	8.92038i	−0.676901	−	0.390809i	−0.798686	+	0.601747i	$0.794471\pi$
$522$	22.1747	−	0.413844i	0.970561	−	0.0181135i
$523$	4.29239	−	16.0194i	0.187693	−	0.700481i	−0.806345	−	0.591446i	$-0.798557\pi$
$523$	4.29239	−	16.0194i	0.187693	−	0.700481i	0.994038	−	0.109035i	$-0.0347760\pi$
$524$	1.46200	−	2.76571i	0.0638676	−	0.120820i
$525$	−6.07477	−	4.05229i	−0.265125	−	0.176856i
$526$	−38.0567	−	9.43981i	−1.65935	−	0.411595i
$527$	−5.52096	−	1.47934i	−0.240497	−	0.0644409i
$528$	−1.84829	+	2.14707i	−0.0804364	+	0.0934392i
$529$	13.3968	+	7.73464i	0.582469	+	0.336289i
$530$	−27.9888	+	13.2395i	−1.21576	+	0.575085i
$531$	15.1218			0.656232
$532$	34.7289	−	16.1500i	1.50569	−	0.700191i
$533$	−8.30740	+	8.30740i	−0.359834	+	0.359834i
$534$	−0.464812	−	1.61364i	−0.0201144	−	0.0698289i
$535$	−2.98264	+	1.34335i	−0.128951	+	0.0580779i
$536$	−6.36074	−	19.3377i	−0.274742	−	0.835262i
$537$	1.90483	−	7.10891i	0.0821993	−	0.306772i
$538$	−0.0151247	−	0.0251031i	−0.000652073	−	0.00108227i
$539$	−2.23314	+	8.69943i	−0.0961884	+	0.374711i
$540$	6.24801	+	12.5950i	0.268871	+	0.542004i
$541$	17.8552	−	10.3087i	0.767654	−	0.443205i	−0.0643829	−	0.997925i	$-0.520508\pi$
$541$	17.8552	−	10.3087i	0.767654	−	0.443205i	0.832037	+	0.554720i	$0.187175\pi$
$542$	−24.4231	+	0.455805i	−1.04906	+	0.0195785i
$543$	6.85694	−	1.83731i	0.294259	−	0.0788465i
$544$	−4.30492	+	5.19376i	−0.184572	+	0.222681i
$545$	−36.7925	+	5.98957i	−1.57602	+	0.256565i
$546$	2.75615	+	0.295974i	0.117952	+	0.0126665i
$547$	2.96175	+	2.96175i	0.126635	+	0.126635i	0.767584	−	0.640948i	$-0.221459\pi$
$547$	2.96175	+	2.96175i	0.126635	+	0.126635i	−0.640948	+	0.767584i	$0.721459\pi$
$548$	−16.2815	+	17.5446i	−0.695513	+	0.749467i
$549$	3.45590	+	1.99527i	0.147494	+	0.0851559i
$550$	8.54900	−	3.03772i	0.364531	−	0.129529i
$551$	−36.4727	+	21.0575i	−1.55379	+	0.897080i
$552$	4.27783	−	0.239733i	0.182077	−	0.0102037i
$553$	−0.596647	+	4.72395i	−0.0253720	+	0.200883i
$554$	26.0056	+	6.45058i	1.10487	+	0.274059i
$555$	−4.18101	+	3.41557i	−0.177474	+	0.144983i
$556$	−20.9463	+	13.1591i	−0.888319	+	0.558071i
$557$	−5.23169	+	1.40183i	−0.221674	+	0.0593974i	−0.367946	−	0.929847i	$-0.619939\pi$
$557$	−5.23169	+	1.40183i	−0.221674	+	0.0593974i	0.146273	+	0.989244i	$0.453272\pi$
$558$	15.9895	+	8.83790i	0.676889	+	0.374138i
$559$	−16.4450			−0.695549
$560$	−9.50257	+	21.6726i	−0.401557	+	0.915834i
$561$	0.844613			0.0356596
$562$	28.6277	+	15.8234i	1.20759	+	0.667472i
$563$	33.1328	−	8.87791i	1.39638	−	0.374159i	0.519337	−	0.854569i	$-0.326179\pi$
$563$	33.1328	−	8.87791i	1.39638	−	0.374159i	0.877044	+	0.480410i	$0.159512\pi$
$564$	−4.17109	+	2.62041i	−0.175635	+	0.110339i
$565$	−1.44128	+	14.3040i	−0.0606352	+	0.601773i
$566$	−9.82275	−	2.43649i	−0.412881	−	0.102413i
$567$	−6.51136	−	15.4888i	−0.273451	−	0.650467i
$568$	−1.30068	−	23.2096i	−0.0545754	−	0.973853i
$569$	−4.75826	+	2.74718i	−0.199477	+	0.115168i	−0.596411	−	0.802679i	$-0.703407\pi$
$569$	−4.75826	+	2.74718i	−0.199477	+	0.115168i	0.396935	+	0.917847i	$0.370074\pi$
$570$	−10.3895	−	7.18989i	−0.435168	−	0.301152i
$571$	−6.70448	−	3.87083i	−0.280574	−	0.161989i	0.353109	−	0.935582i	$-0.385124\pi$
$571$	−6.70448	−	3.87083i	−0.280574	−	0.161989i	−0.633683	+	0.773593i	$0.718458\pi$
$572$	−2.34273	+	2.52447i	−0.0979545	+	0.105553i
$573$	−0.0131167	−	0.0131167i	−0.000547959	−	0.000547959i
$574$	−13.2545	−	29.9518i	−0.553231	−	1.25016i
$575$	−12.2787	−	6.12392i	−0.512055	−	0.255385i
$576$	17.3520	−	12.8001i	0.723001	−	0.533336i
$577$	16.0349	−	4.29654i	0.667541	−	0.178867i	0.0908942	−	0.995861i	$-0.471027\pi$
$577$	16.0349	−	4.29654i	0.667541	−	0.178867i	0.576647	+	0.816993i	$0.304361\pi$
$578$	−22.0266	+	0.411080i	−0.916187	+	0.0170987i
$579$	−4.27330	+	2.46719i	−0.177592	+	0.102533i
$580$	8.30635	−	24.6599i	0.344902	−	1.02395i
$581$	23.4491	−	3.21276i	0.972834	−	0.133288i
$582$	−6.11434	−	10.1482i	−0.253448	−	0.420657i
$583$	3.25145	−	12.1346i	0.134661	−	0.502563i
$584$	−29.5606	+	9.72333i	−1.22323	+	0.402354i
$585$	3.32169	+	7.37517i	0.137335	+	0.304926i
$586$	−9.50468	−	32.9964i	−0.392635	−	1.36307i
$587$	6.41485	−	6.41485i	0.264769	−	0.264769i	−0.562219	−	0.826988i	$-0.690052\pi$
$587$	6.41485	−	6.41485i	0.264769	−	0.264769i	0.826988	+	0.562219i	$0.190052\pi$
$588$	−3.53951	+	6.86984i	−0.145967	+	0.283307i
$589$	−34.6919			−1.42946
$590$	5.97619	−	16.7050i	0.246036	−	0.687735i
$591$	−11.5138	−	6.64748i	−0.473613	−	0.273441i
$592$	13.2594	+	11.4143i	0.544959	+	0.469124i
$593$	16.6777	+	4.46877i	0.684871	+	0.183511i	0.584444	−	0.811434i	$-0.301313\pi$
$593$	16.6777	+	4.46877i	0.684871	+	0.183511i	0.100427	+	0.994944i	$0.467979\pi$
$594$	−5.53678	−	1.37338i	−0.227177	−	0.0563503i
$595$	6.74506	−	2.06832i	0.276520	−	0.0847928i
$596$	−12.4248	+	23.5044i	−0.508939	+	0.962777i
$597$	3.61747	−	13.5006i	0.148053	−	0.552542i
$598$	5.20768	−	0.0971902i	0.212958	−	0.00397440i
$599$	−23.8531	−	13.7716i	−0.974612	−	0.562692i	−0.0739728	−	0.997260i	$-0.523568\pi$
$599$	−23.8531	−	13.7716i	−0.974612	−	0.562692i	−0.900639	+	0.434568i	$0.856901\pi$
$600$	7.75319	−	0.910795i	0.316523	−	0.0371830i
$601$			1.90133i			0.0775567i	0.999248	+	0.0387784i	$0.0123466\pi$
$601$			1.90133i			0.0775567i	−0.999248	+	0.0387784i	$0.987653\pi$
$602$	16.5267	−	42.7647i	0.673576	−	1.74296i
$603$	13.7170	−	13.7170i	0.558599	−	0.558599i
$604$	10.8023	−	0.403344i	0.439540	−	0.0164119i
$605$	7.41149	−	19.5584i	0.301320	−	0.795163i
$606$	2.94412	−	3.05610i	0.119597	−	0.124146i
$607$	−1.22705	+	4.57941i	−0.0498044	+	0.185872i	−0.986347	−	0.164682i	$-0.947340\pi$
$607$	−1.22705	+	4.57941i	−0.0498044	+	0.185872i	0.936542	+	0.350554i	$0.114007\pi$
$608$	−17.0797	+	37.2124i	−0.692673	+	1.50916i
$609$	3.21059	−	7.86790i	0.130100	−	0.318823i
$610$	3.56994	−	3.02919i	0.144543	−	0.122648i
$611$	−5.18599	+	2.99413i	−0.209803	+	0.121130i
$612$	−6.26710	−	1.43094i	−0.253333	−	0.0578424i
$613$	4.43061	+	16.5353i	0.178951	+	0.667853i	0.995845	+	0.0910657i	$0.0290273\pi$
$613$	4.43061	+	16.5353i	0.178951	+	0.667853i	−0.816894	+	0.576788i	$0.804306\pi$
$614$	7.92048	−	2.28151i	0.319645	−	0.0920744i
$615$	−6.31333	+	8.76855i	−0.254578	+	0.353582i
$616$	−4.21043	−	8.62920i	−0.169643	−	0.347680i
$617$	−12.9592	+	12.9592i	−0.521716	+	0.521716i	−0.918090	−	0.396373i	$-0.870269\pi$
$617$	−12.9592	+	12.9592i	−0.521716	+	0.521716i	0.396373	+	0.918090i	$0.370269\pi$
$618$	8.94578	+	4.94461i	0.359852	+	0.198902i
$619$	14.9332	+	8.62167i	0.600215	+	0.346534i	0.769126	−	0.639097i	$-0.220692\pi$
$619$	14.9332	+	8.62167i	0.600215	+	0.346534i	−0.168911	+	0.985631i	$0.554025\pi$
$620$	16.0823	−	14.1708i	0.645880	−	0.569112i
$621$	4.31366	+	7.47148i	0.173101	+	0.299820i
$622$	4.05711	+	6.73374i	0.162675	+	0.269998i
$623$	5.64639	+	0.713154i	0.226218	+	0.0285719i
$624$	−2.44873	+	1.66895i	−0.0980276	+	0.0668116i
$625$	−23.0101	−	9.77431i	−0.920402	−	0.390972i
$626$	−9.19724	−	8.86024i	−0.367596	−	0.354126i
$627$	4.95176	−	1.32682i	0.197754	−	0.0529881i
$628$	21.3302	−	22.9848i	0.851167	−	0.917195i
$629$		−	5.21599i		−	0.207975i
$630$	−22.5171	+	1.22615i	−0.897102	+	0.0488512i
$631$	29.0765			1.15752			0.578758	−	0.815499i	$-0.303537\pi$
$631$	29.0765			1.15752			0.578758	+	0.815499i	$0.303537\pi$
$632$	−2.78779	−	4.25896i	−0.110892	−	0.169412i
$633$	1.18414	+	4.41928i	0.0470654	+	0.175650i
$634$	−12.6565	+	13.1379i	−0.502654	+	0.521773i
$635$	13.9221	+	1.40281i	0.552483	+	0.0556687i
$636$	5.05166	−	9.55639i	0.200311	−	0.378936i
$637$	−4.61148	+	8.18507i	−0.182714	+	0.324304i
$638$	5.44865	+	9.04332i	0.215714	+	0.358029i
$639$	19.1840	−	11.0759i	0.758909	−	0.438156i
$640$	−7.28261	−	24.2273i	−0.287870	−	0.957669i
$641$	−17.9532	+	31.0958i	−0.709107	+	1.22821i	0.256082	+	0.966655i	$0.417568\pi$
$641$	−17.9532	+	31.0958i	−0.709107	+	1.22821i	−0.965189	+	0.261554i	$0.915765\pi$
$642$	0.552462	−	0.999512i	0.0218039	−	0.0394476i
$643$	−20.7724	−	20.7724i	−0.819184	−	0.819184i	0.166806	−	0.985990i	$-0.446655\pi$
$643$	−20.7724	−	20.7724i	−0.819184	−	0.819184i	−0.985990	+	0.166806i	$0.946655\pi$
$644$	−4.98080	+	13.6401i	−0.196271	+	0.537494i
$645$	−14.9277	+	2.43013i	−0.587779	+	0.0956863i
$646$	11.7299	−	3.37884i	0.461509	−	0.132939i
$647$	−4.81742	+	1.29082i	−0.189392	+	0.0507475i	−0.352268	−	0.935899i	$-0.614590\pi$
$647$	−4.81742	+	1.29082i	−0.189392	+	0.0507475i	0.162876	+	0.986647i	$0.447923\pi$
$648$	16.0336	+	8.09649i	0.629858	+	0.318060i
$649$	3.59930	+	6.23418i	0.141285	+	0.244713i
$650$	9.46006	−	0.754769i	0.371054	−	0.0296045i
$651$	5.53094	−	4.29047i	0.216775	−	0.168157i
$652$	−6.51946	−	21.1415i	−0.255322	−	0.827964i
$653$	−15.6943	−	4.20527i	−0.614164	−	0.164565i	−0.0616908	−	0.998095i	$-0.519649\pi$
$653$	−15.6943	−	4.20527i	−0.614164	−	0.164565i	−0.552473	+	0.833530i	$0.686316\pi$
$654$	9.02899	−	9.37241i	0.353061	−	0.366490i
$655$	1.23938	−	3.27065i	0.0484267	−	0.127795i
$656$	31.5450	+	15.1974i	1.23162	+	0.593357i
$657$	−20.9685	−	20.9685i	−0.818058	−	0.818058i
$658$	−2.57440	−	16.4950i	−0.100361	−	0.643042i
$659$	−26.3074			−1.02479			−0.512395	−	0.858750i	$-0.671242\pi$
$659$	−26.3074			−1.02479			−0.512395	+	0.858750i	$0.671242\pi$
$660$	−1.75354	+	2.63775i	−0.0682563	+	0.102674i
$661$	−1.36995	+	2.37282i	−0.0532848	+	0.0922920i	−0.891437	−	0.453144i	$-0.850302\pi$
$661$	−1.36995	+	2.37282i	−0.0532848	+	0.0922920i	0.838153	+	0.545436i	$0.183636\pi$
$662$	−21.7224	+	0.405403i	−0.844266	+	0.0157564i
$663$	0.853373	+	0.228660i	0.0331422	+	0.00888044i
$664$	−16.8624	+	18.8645i	−0.654387	+	0.732086i
$665$	36.2954	−	22.7220i	1.40748	−	0.881121i
$666$	−4.01382	+	16.1818i	−0.155532	+	0.627030i
$667$	4.13264	−	15.4232i	0.160016	−	0.597189i
$668$	−0.493560	+	2.16164i	−0.0190964	+	0.0836365i
$669$	−1.75480	+	3.03941i	−0.0678446	+	0.117510i
$670$	−9.73211	−	20.5741i	−0.375984	−	0.794847i
$671$			1.89965i			0.0733354i
$672$	−1.87917	−	8.04508i	−0.0724904	−	0.310346i
$673$	34.1745	+	34.1745i	1.31733	+	1.31733i	0.915882	+	0.401449i	$0.131493\pi$
$673$	34.1745	+	34.1745i	1.31733	+	1.31733i	0.401449	+	0.915882i	$0.368507\pi$
$674$	−29.1399	+	8.39383i	−1.12243	+	0.323318i
$675$	8.67424	+	13.1091i	0.333872	+	0.504569i
$676$	18.9654	−	11.9147i	0.729440	−	0.458258i
$677$	−1.66099	−	0.445062i	−0.0638371	−	0.0171051i	0.226759	−	0.973951i	$-0.427187\pi$
$677$	−1.66099	−	0.445062i	−0.0638371	−	0.0171051i	−0.290596	+	0.956846i	$0.593854\pi$
$678$	−2.59020	−	4.29905i	−0.0994760	−	0.165104i
$679$	39.7826	−	5.45060i	1.52671	−	0.209175i
$680$	−4.05753	+	6.35773i	−0.155599	+	0.243808i
$681$	5.10623	+	8.84424i	0.195671	+	0.338912i
$682$	0.162283	+	8.69548i	0.00621412	+	0.332967i
$683$	−9.42724	−	35.1830i	−0.360723	−	1.34624i	−0.873127	−	0.487493i	$-0.837911\pi$
$683$	−9.42724	−	35.1830i	−0.360723	−	1.34624i	0.512403	−	0.858745i	$-0.328755\pi$
$684$	−38.9904	+	1.45585i	−1.49083	+	0.0556658i
$685$	−15.6362	+	21.7171i	−0.597430	+	0.829768i
$686$	−16.6506	−	20.2177i	−0.635724	−	0.771916i
$687$	−10.4964	+	10.4964i	−0.400465	+	0.400465i
$688$	16.1805	+	46.2646i	0.616877	+	1.76382i
$689$	6.57034	−	11.3802i	0.250310	−	0.433550i
$690$	4.71284	−	0.857779i	0.179415	−	0.0326551i
$691$	19.8792	+	34.4318i	0.756240	+	1.30985i	0.944755	+	0.327777i	$0.106299\pi$
$691$	19.8792	+	34.4318i	0.756240	+	1.30985i	−0.188515	+	0.982070i	$0.560367\pi$
$692$	−8.44377	+	2.60383i	−0.320984	+	0.0989828i
$693$	5.53168	−	7.28812i	0.210131	−	0.276853i
$694$	5.79646	+	1.43779i	0.220030	+	0.0545777i
$695$	−21.4182	+	17.4970i	−0.812438	+	0.663701i
$696$	2.83853	+	8.62963i	0.107594	+	0.327105i
$697$	−2.70182	−	10.0833i	−0.102339	−	0.381933i
$698$	6.87029	−	12.4297i	0.260044	−	0.470471i
$699$			8.54419i			0.323171i
$700$	−7.54428	+	25.3591i	−0.285147	+	0.958484i
$701$			17.3105i			0.653810i	0.945057	+	0.326905i	$0.106006\pi$
$701$			17.3105i			0.653810i	−0.945057	+	0.326905i	$0.893994\pi$
$702$	−5.22239	−	2.88658i	−0.197106	−	0.108947i
$703$	−8.19390	−	30.5800i	−0.309039	−	1.15335i
$704$	9.40713	+	4.10693i	0.354544	+	0.154786i
$705$	−4.26507	+	3.48424i	−0.160632	+	0.131224i
$706$	−1.02935	+	4.14985i	−0.0387402	+	0.156182i
$707$	5.57361	+	13.2581i	0.209617	+	0.498623i
$708$	1.82525	+	5.91895i	0.0685969	+	0.222448i
$709$	−16.0653	−	27.8259i	−0.603345	−	1.04502i	−0.992311	−	0.123772i	$-0.960501\pi$
$709$	−16.0653	−	27.8259i	−0.603345	−	1.04502i	0.388966	−	0.921252i	$-0.372832\pi$
$710$	−4.65392	−	25.5698i	−0.174659	−	0.959616i
$711$	2.42532	−	4.20078i	0.0909566	−	0.157541i
$712$	−5.09060	+	3.33215i	−0.190778	+	0.124878i
$713$	9.30053	−	9.30053i	0.348307	−	0.348307i
$714$	−1.45223	+	1.98937i	−0.0543485	+	0.0744503i
$715$	−2.24988	+	3.12485i	−0.0841408	+	0.116863i
$716$	−26.6468	+	0.994957i	−0.995837	+	0.0371833i
$717$	−0.501551	−	1.87181i	−0.0187308	−	0.0699042i
$718$	26.0267	−	0.485733i	0.971308	−	0.0181274i
$719$	−25.9507	−	44.9480i	−0.967800	−	1.67628i	−0.701897	−	0.712278i	$-0.747663\pi$
$719$	−25.9507	−	44.9480i	−0.967800	−	1.67628i	−0.265902	−	0.964000i	$-0.585670\pi$
$720$	17.4803	−	16.6015i	0.651451	−	0.618700i
$721$	−27.3718	+	21.2329i	−1.01938	+	0.790756i
$722$	40.4465	−	24.3692i	1.50526	−	0.906928i
$723$	11.0073	+	2.94940i	0.409366	+	0.109689i
$724$	−13.6823	−	21.7790i	−0.508497	−	0.809410i
$725$	5.80388	−	28.5078i	0.215551	−	1.05875i
$726$	2.02118	+	7.01670i	0.0750129	+	0.260414i
$727$	20.0300	+	20.0300i	0.742872	+	0.742872i	0.973130	−	0.230258i	$-0.0739570\pi$
$727$	20.0300	+	20.0300i	0.742872	+	0.742872i	−0.230258	+	0.973130i	$0.573957\pi$
$728$	−1.91793	−	9.85857i	−0.0710831	−	0.365383i
$729$			11.9102i			0.441118i
$730$	−31.4506	+	14.8770i	−1.16404	+	0.550622i
$731$	7.30606	−	12.6545i	0.270224	−	0.468042i
$732$	−0.363845	+	1.59353i	−0.0134481	+	0.0588987i
$733$	−2.42990	+	9.06852i	−0.0897505	+	0.334954i	−0.996171	−	0.0874222i	$-0.972137\pi$
$733$	−2.42990	+	9.06852i	−0.0897505	+	0.334954i	0.906421	+	0.422376i	$0.138804\pi$
$734$	40.6495	+	10.0829i	1.50040	+	0.372168i
$735$	−2.97648	+	8.11135i	−0.109789	+	0.299192i
$736$	−5.39736	−	14.5551i	−0.198949	−	0.536509i
$737$	8.91994	+	2.39009i	0.328570	+	0.0880401i
$738$	0.622611	+	33.3610i	0.0229186	+	1.22803i
$739$	10.5465	−	18.2671i	0.387959	−	0.671965i	−0.604216	−	0.796821i	$-0.706514\pi$
$739$	10.5465	−	18.2671i	0.387959	−	0.671965i	0.992175	+	0.124856i	$0.0398469\pi$
$740$	16.2896	+	10.8291i	0.598819	+	0.398087i
$741$	5.36232			0.196990
$742$	22.9908	+	28.5226i	0.844018	+	1.04710i
$743$	28.1028	+	28.1028i	1.03099	+	1.03099i	0.999504	+	0.0314887i	$0.0100248\pi$
$743$	28.1028	+	28.1028i	1.03099	+	1.03099i	0.0314887	+	0.999504i	$0.489975\pi$
$744$	−1.52933	+	7.32533i	−0.0560681	+	0.268560i
$745$	−10.5329	+	27.7956i	−0.385896	+	1.01835i
$746$	15.9535	+	15.3689i	0.584099	+	0.562697i
$747$	−23.2898	−	6.24048i	−0.852129	−	0.228327i
$748$	−0.901772	−	2.92429i	−0.0329721	−	0.106923i
$749$	2.37236	+	3.05826i	0.0866840	+	0.111746i
$750$	8.47572	−	2.08308i	0.309489	−	0.0760632i
$751$	−6.91816	−	11.9826i	−0.252447	−	0.437251i	0.711752	−	0.702431i	$-0.247902\pi$
$751$	−6.91816	−	11.9826i	−0.252447	−	0.437251i	−0.964199	+	0.265180i	$0.914569\pi$
$752$	13.5260	+	11.6437i	0.493242	+	0.424604i
$753$	−14.6806	+	3.93365i	−0.534990	+	0.143350i
$754$	3.05687	+	10.6122i	0.111325	+	0.386474i
$755$	11.9287	−	1.94191i	0.434131	−	0.0706735i
$756$	12.7548	−	10.6797i	0.463887	−	0.388418i
$757$	20.3890	+	20.3890i	0.741049	+	0.741049i	0.972780	−	0.231731i	$-0.0744388\pi$
$757$	20.3890	+	20.3890i	0.741049	+	0.741049i	−0.231731	+	0.972780i	$0.574439\pi$
$758$	26.6087	+	14.7074i	0.966470	+	0.534198i
$759$	−0.971806	+	1.68322i	−0.0352743	+	0.0610969i
$760$	−13.8008	+	43.6479i	−0.500609	+	1.58327i
$761$	2.79464	−	1.61349i	0.101306	−	0.0584889i	−0.448491	−	0.893787i	$-0.648038\pi$
$761$	2.79464	−	1.61349i	0.101306	−	0.0584889i	0.549797	+	0.835298i	$0.314705\pi$
$762$	−4.18429	+	2.52105i	−0.151581	+	0.0913281i
$763$	17.0931	+	40.6598i	0.618810	+	1.47198i
$764$	−0.0314094	+	0.0594182i	−0.00113635	+	0.00214968i
$765$	−7.15095	−	0.720536i	−0.258543	−	0.0260510i
$766$	7.67099	+	7.38991i	0.277164	+	0.267008i
$767$	1.94886	+	7.27326i	0.0703694	+	0.262622i
$768$	7.10460	+	5.24688i	0.256365	+	0.189331i
$769$	38.2298			1.37860			0.689301	−	0.724475i	$-0.257918\pi$
$769$	38.2298			1.37860			0.689301	+	0.724475i	$0.257918\pi$
$770$	−5.86502	−	8.99111i	−0.211361	−	0.324017i
$771$		−	0.704828i		−	0.0253838i
$772$	13.1046	+	12.1612i	0.471645	+	0.437692i
$773$	37.6467	−	10.0874i	1.35406	−	0.362818i	0.492426	−	0.870355i	$-0.336110\pi$
$773$	37.6467	−	10.0874i	1.35406	−	0.362818i	0.861630	+	0.507536i	$0.169444\pi$
$774$	−32.4037	+	33.6362i	−1.16473	+	1.20903i
$775$	15.8819	−	17.9465i	0.570496	−	0.644658i
$776$	−28.6078	+	32.0046i	−1.02696	+	1.14890i
$777$	5.08829	+	3.86201i	0.182541	+	0.138549i
$778$	20.9859	−	12.6441i	0.752383	−	0.453314i
$779$	−31.6802	−	54.8716i	−1.13506	−	1.96598i
$780$	−2.48583	+	2.19037i	−0.0890071	+	0.0784278i
$781$	9.13238	+	5.27258i	0.326782	+	0.188668i
$782$	−2.23884	+	4.05050i	−0.0800608	+	0.144846i
$783$	−12.9347	+	12.9347i	−0.462248	+	0.462248i
$784$	27.5644	+	4.92002i	0.984441	+	0.175715i
$785$	20.4848	−	28.4512i	0.731133	−	1.01547i
$786$	0.337990	+	1.17336i	0.0120557	+	0.0418525i
$787$	0.872572	+	3.25648i	0.0311038	+	0.116081i	0.979732	−	0.200311i	$-0.0641952\pi$
$787$	0.872572	+	3.25648i	0.0311038	+	0.116081i	−0.948629	+	0.316392i	$0.897529\pi$
$788$	−10.7225	+	46.9613i	−0.381973	+	1.67293i
$789$	13.2542	−	7.65232i	0.471862	−	0.272430i
$790$	−3.68209	−	4.33940i	−0.131003	−	0.154389i
$791$	16.8530	−	2.30902i	0.599222	−	0.0820993i
$792$	0.547297	+	9.76607i	0.0194473	+	0.347022i
$793$	−0.514290	+	1.91936i	−0.0182630	+	0.0681583i
$794$	−19.9658	−	19.2342i	−0.708561	−	0.682598i
$795$	4.28246	−	11.3011i	0.151883	−	0.400810i
$796$	−50.6051	+	1.88953i	−1.79365	+	0.0669726i
$797$	9.08704	−	9.08704i	0.321879	−	0.321879i	−0.527608	−	0.849488i	$-0.676911\pi$
$797$	9.08704	−	9.08704i	0.321879	−	0.321879i	0.849488	+	0.527608i	$0.176911\pi$
$798$	−5.38895	+	13.9445i	−0.190767	+	0.493631i
$799$		−	5.32085i		−	0.188238i
$800$	−11.4313	−	25.8713i	−0.404158	−	0.914689i
$801$	−5.02105	−	2.89891i	−0.177410	−	0.102428i
$802$	0.796128	+	42.6584i	0.0281122	+	1.50632i
$803$	3.65361	−	13.6354i	0.128933	−	0.481185i
$804$	7.02475	+	3.71340i	0.247744	+	0.130961i
$805$	−3.63889	+	15.8219i	−0.128254	+	0.557650i
$806$	−2.19015	+	8.82960i	−0.0771446	+	0.311009i
$807$	0.0110496	+	0.00296074i	0.000388965	+	0.000104223i
$808$	−13.7244	−	6.93045i	−0.482824	−	0.243812i
$809$	−28.0013	−	16.1665i	−0.984472	−	0.568385i	−0.0808544	−	0.996726i	$-0.525765\pi$
$809$	−28.0013	−	16.1665i	−0.984472	−	0.568385i	−0.903617	+	0.428341i	$0.859098\pi$
$810$	18.9084	+	6.76445i	0.664374	+	0.237678i
$811$	−17.7050			−0.621706			−0.310853	−	0.950458i	$-0.600615\pi$
$811$	−17.7050			−0.621706			−0.310853	+	0.950458i	$0.600615\pi$
$812$	−30.6688	−	2.71561i	−1.07626	−	0.0952991i
$813$	6.74200	−	6.74200i	0.236452	−	0.236452i
$814$	−7.62651	+	2.19684i	−0.267309	+	0.0769991i
$815$	−10.1577	−	22.5533i	−0.355810	−	0.790008i
$816$	−0.196360	−	2.62577i	−0.00687397	−	0.0919204i
$817$	22.9545	−	85.6672i	0.803075	−	2.99712i
$818$	21.7540	−	13.1069i	0.760612	−	0.458272i
$819$	7.56215	−	5.86612i	0.264243	−	0.204979i
$820$	37.0998	+	12.4966i	1.29558	+	0.436399i
$821$	−11.6679	+	6.73646i	−0.407212	+	0.235104i	−0.689591	−	0.724199i	$-0.742210\pi$
$821$	−11.6679	+	6.73646i	−0.407212	+	0.235104i	0.282379	+	0.959303i	$0.408876\pi$
$822$	−0.174329	−	9.34094i	−0.00608041	−	0.325803i
$823$	−3.98587	+	1.06801i	−0.138939	+	0.0372285i	−0.327618	−	0.944810i	$-0.606246\pi$
$823$	−3.98587	+	1.06801i	−0.138939	+	0.0372285i	0.188679	+	0.982039i	$0.439579\pi$
$824$	7.56847	−	36.2520i	0.263660	−	1.26290i
$825$	−1.58053	+	3.16902i	−0.0550270	+	0.110331i
$826$	−20.8724	−	2.24142i	−0.726244	−	0.0779890i
$827$	8.50613	+	8.50613i	0.295787	+	0.295787i	0.839361	−	0.543574i	$-0.182929\pi$
$827$	8.50613	+	8.50613i	0.295787	+	0.295787i	−0.543574	+	0.839361i	$0.682929\pi$
$828$	10.0626	−	10.8432i	0.349699	−	0.376827i
$829$	10.1527	+	5.86166i	0.352618	+	0.203584i	0.665838	−	0.746097i	$-0.268074\pi$
$829$	10.1527	+	5.86166i	0.352618	+	0.203584i	−0.313220	+	0.949681i	$0.601408\pi$
$830$	−16.0980	+	23.2619i	−0.558771	+	0.807432i
$831$	−9.05711	+	5.22912i	−0.314188	+	0.181396i
$832$	8.39283	+	6.69629i	0.290969	+	0.232152i
$833$	−4.24968	−	7.18495i	−0.147243	−	0.248944i
$834$	2.32454	−	9.37140i	0.0804922	−	0.324505i
$835$	−0.248527	+	2.46650i	−0.00860062	+	0.0853567i
$836$	−9.88069	−	15.7278i	−0.341731	−	0.543956i
$837$	−14.5548	+	3.89995i	−0.503087	+	0.134802i
$838$	11.3838	−	20.5955i	0.393247	−	0.711461i
$839$	−31.3124			−1.08102			−0.540511	−	0.841337i	$-0.681769\pi$
$839$	−31.3124			−1.08102			−0.540511	+	0.841337i	$0.681769\pi$
$840$	−3.19781	−	8.66558i	−0.110335	−	0.298991i
$841$	4.85526			0.167423
$842$	−14.3057	+	25.8818i	−0.493006	+	0.891944i
$843$	−12.3324	+	3.30446i	−0.424751	+	0.113812i
$844$	14.0365	−	8.81818i	0.483156	−	0.303534i
$845$	19.3927	−	15.8424i	0.667130	−	0.544995i
$846$	−4.09451	+	16.5071i	−0.140772	+	0.567525i
$847$	−24.5526	−	3.10106i	−0.843637	−	0.106554i
$848$	−38.4805	−	7.28716i	−1.32142	−	0.250242i
$849$	3.42102	−	1.97513i	0.117409	−	0.0677863i
$850$	−3.62205	+	7.61486i	−0.124235	+	0.261188i
$851$	10.3949	+	6.00148i	0.356331	+	0.205728i
$852$	6.65087	+	6.17208i	0.227855	+	0.211452i
$853$	−27.9801	−	27.9801i	−0.958020	−	0.958020i	0.0411336	−	0.999154i	$-0.486903\pi$
$853$	−27.9801	−	27.9801i	−0.958020	−	0.958020i	−0.999154	+	0.0411336i	$0.986903\pi$
$854$	−4.47438	−	3.26628i	−0.153110	−	0.111770i
$855$	−43.0561	+	7.00924i	−1.47249	+	0.239711i
$856$	−4.05044	−	0.845625i	−0.138441	−	0.0289029i
$857$	−19.4647	+	5.21554i	−0.664900	+	0.178159i	−0.575456	−	0.817832i	$-0.695176\pi$
$857$	−19.4647	+	5.21554i	−0.664900	+	0.178159i	−0.0894436	+	0.995992i	$0.528509\pi$
$858$	−0.0250840	−	1.34406i	−0.000856352	−	0.0458854i
$859$	−7.69079	+	4.44028i	−0.262406	+	0.151500i	−0.625432	−	0.780279i	$-0.715077\pi$
$859$	−7.69079	+	4.44028i	−0.262406	+	0.151500i	0.363025	+	0.931779i	$0.381744\pi$
$860$	24.3518	+	49.0894i	0.830388	+	1.67394i
$861$	11.8369	+	4.83020i	0.403402	+	0.164613i
$862$	−21.0749	+	12.6977i	−0.717813	+	0.432486i
$863$	−11.7327	+	43.7872i	−0.399387	+	1.49053i	0.414791	+	0.909917i	$0.363855\pi$
$863$	−11.7327	+	43.7872i	−0.399387	+	1.49053i	−0.814178	+	0.580616i	$0.802812\pi$
$864$	−2.98240	+	17.5323i	−0.101463	+	0.596460i
$865$	−9.00765	+	4.05694i	−0.306269	+	0.137940i
$866$	29.9403	−	8.62439i	1.01741	−	0.293069i
$867$	6.08045	−	6.08045i	0.206503	−	0.206503i
$868$	−20.7601	−	14.5688i	−0.704642	−	0.494499i
$869$	2.30910			0.0783309
$870$	4.34304	+	9.18137i	0.147243	+	0.311278i
$871$	8.36538	+	4.82976i	0.283450	+	0.163650i
$872$	−42.0899	−	21.2542i	−1.42535	−	0.719758i
$873$	−39.5123	−	10.5873i	−1.33729	−	0.358325i
$874$	−6.76276	+	27.2641i	−0.228754	+	0.922223i
$875$	−4.86168	+	29.1781i	−0.164355	+	0.986401i
$876$	5.67648	−	10.7384i	0.191790	−	0.362816i
$877$	9.48331	−	35.3922i	0.320229	−	1.19511i	−0.598793	−	0.800904i	$-0.704353\pi$
$877$	9.48331	−	35.3922i	0.320229	−	1.19511i	0.919022	−	0.394206i	$-0.128980\pi$
$878$	0.617280	+	33.0753i	0.0208322	+	1.11624i
$879$	11.6073	+	6.70150i	0.391506	+	0.226036i
$880$	11.0048	+	3.25498i	0.370973	+	0.109725i
$881$			14.1018i			0.475101i	0.971375	+	0.237550i	$0.0763445\pi$
$881$			14.1018i			0.475101i	−0.971375	+	0.237550i	$0.923656\pi$
$882$	7.65496	+	25.5604i	0.257756	+	0.860662i
$883$	−38.8915	+	38.8915i	−1.30880	+	1.30880i	−0.386523	+	0.922280i	$0.626324\pi$
$883$	−38.8915	+	38.8915i	−1.30880	+	1.30880i	−0.922280	+	0.386523i	$0.873676\pi$
$884$	−0.119437	−	3.19875i	−0.00401711	−	0.107586i
$885$	2.84385	+	6.31422i	0.0955950	+	0.212250i
$886$	−18.6119	−	17.9299i	−0.625278	−	0.602367i
$887$	−3.09448	+	11.5487i	−0.103902	+	0.387769i	−0.998218	−	0.0596672i	$-0.980996\pi$
$887$	−3.09448	+	11.5487i	−0.103902	+	0.387769i	0.894316	+	0.447436i	$0.147663\pi$
$888$	−6.81830	+	0.382102i	−0.228807	+	0.0128225i
$889$	−2.24738	−	16.4031i	−0.0753747	−	0.550141i
$890$	−5.18674	+	4.40108i	−0.173860	+	0.147525i
$891$	−7.05646	+	4.07405i	−0.236400	+	0.136486i
$892$	12.3968	+	2.83052i	0.415077	+	0.0947729i
$893$	−8.35862	−	31.1948i	−0.279711	−	1.04389i
$894$	−2.87242	−	9.97185i	−0.0960679	−	0.333508i
$895$	−29.4254	+	4.79025i	−0.983583	+	0.160120i
$896$	−25.8480	+	15.0957i	−0.863521	+	0.504313i
$897$	−1.43758	+	1.43758i	−0.0479994	+	0.0479994i
$898$	9.06834	−	16.4064i	0.302614	−	0.547489i
$899$	24.1517	+	13.9440i	0.805505	+	0.465059i
$900$	17.0966	−	20.8366i	0.569888	−	0.694555i
$901$	5.83804	+	10.1118i	0.194493	+	0.336873i
$902$	−13.6053	+	8.19726i	−0.453007	+	0.272939i
$903$	6.93512	+	16.4968i	0.230786	+	0.548979i
$904$	−12.1190	+	13.5580i	−0.403073	+	0.450932i
$905$	−18.1927	−	22.2697i	−0.604744	−	0.740269i
$906$	−2.92734	+	3.03869i	−0.0972544	+	0.100954i
$907$	11.6797	−	3.12956i	0.387817	−	0.103915i	−0.0596416	−	0.998220i	$-0.518996\pi$
$907$	11.6797	−	3.12956i	0.387817	−	0.103915i	0.447459	+	0.894305i	$0.352329\pi$
$908$	25.1695	−	27.1220i	0.835278	−	0.900074i
$909$		−	14.6513i		−	0.485954i
$910$	−3.49170	−	10.6722i	−0.115749	−	0.353779i
$911$	44.2068			1.46464			0.732318	−	0.680963i	$-0.238439\pi$
$911$	44.2068			1.46464			0.732318	+	0.680963i	$0.238439\pi$
$912$	−5.27609	−	15.0858i	−0.174709	−	0.499540i
$913$	−2.97072	−	11.0869i	−0.0983166	−	0.366922i
$914$	22.2985	+	21.4814i	0.737568	+	0.710542i
$915$	−0.183210	+	1.81827i	−0.00605675	+	0.0601101i
$916$	47.5485	+	25.1349i	1.57105	+	0.830480i
$917$	−4.10580	−	0.518573i	−0.135585	−	0.0171248i
$918$	4.54139	−	2.73621i	0.149888	−	0.0903085i
$919$	2.83576	−	1.63723i	0.0935432	−	0.0540072i	−0.452499	−	0.891765i	$-0.649467\pi$
$919$	2.83576	−	1.63723i	0.0935432	−	0.0540072i	0.546042	+	0.837758i	$0.316134\pi$
$920$	−8.00166	−	15.4014i	−0.263807	−	0.507768i
$921$	−1.60863	+	2.78624i	−0.0530063	+	0.0918096i
$922$	−27.5353	−	15.2196i	−0.906826	−	0.501231i
$923$	7.79966	+	7.79966i	0.256729	+	0.256729i
$924$	3.52039	+	1.28550i	0.115812	+	0.0422899i
$925$	19.5705	+	9.76072i	0.643476	+	0.320930i
$926$	−4.26894	−	14.8200i	−0.140286	−	0.487015i
$927$	34.0880	−	9.13385i	1.11960	−	0.299995i
$928$	26.8476	−	19.0414i	0.881315	−	0.625066i
$929$	20.4938	+	35.4963i	0.672380	+	1.16460i	0.977227	+	0.212195i	$0.0680612\pi$
$929$	20.4938	+	35.4963i	0.672380	+	1.16460i	−0.304848	+	0.952401i	$0.598606\pi$
$930$	−0.683298	+	8.33860i	−0.0224062	+	0.273433i
$931$	−36.2018	−	35.4477i	−1.18647	−	1.16175i
$932$	29.5824	−	9.12242i	0.969004	−	0.298815i
$933$	−2.96399	−	0.794198i	−0.0970366	−	0.0260009i
$934$	−4.19602	−	4.04227i	−0.137298	−	0.132267i
$935$	−1.40502	−	3.11957i	−0.0459491	−	0.102021i
$936$	−2.09098	+	10.0155i	−0.0683457	+	0.327368i
$937$	15.3619	+	15.3619i	0.501852	+	0.501852i	0.912013	−	0.410161i	$-0.134527\pi$
$937$	15.3619	+	15.3619i	0.501852	+	0.501852i	−0.410161	+	0.912013i	$0.634527\pi$
$938$	−20.9665	+	16.9002i	−0.684582	+	0.551810i
$939$	4.98476			0.162672
$940$	16.6171	+	11.0468i	0.541991	+	0.360308i
$941$	1.44187	−	2.49740i	0.0470038	−	0.0814129i	−0.841566	−	0.540154i	$-0.818366\pi$
$941$	1.44187	−	2.49740i	0.0470038	−	0.0814129i	0.888570	+	0.458741i	$0.151699\pi$
$942$	0.228385	+	12.2374i	0.00744119	+	0.398717i
$943$	23.2036	+	6.21738i	0.755613	+	0.202466i
$944$	18.5443	−	12.6390i	0.603566	−	0.411365i
$945$	12.6732	−	13.6131i	0.412260	−	0.442834i
$946$	−21.5797	−	5.35277i	−0.701618	−	0.174033i
$947$	6.22174	−	23.2199i	0.202179	−	0.754544i	−0.788111	−	0.615533i	$-0.788941\pi$
$947$	6.22174	−	23.2199i	0.202179	−	0.754544i	0.990291	−	0.139011i	$-0.0443924\pi$
$948$	1.93700	+	0.442268i	0.0629108	+	0.0143642i
$949$	7.38300	−	12.7877i	0.239662	−	0.415107i
$950$	−9.27283	+	50.3340i	−0.300850	+	1.63305i
$951$		−	7.12054i		−	0.230899i
$952$	8.43828	+	2.90404i	0.273486	+	0.0941206i
$953$	−0.134442	−	0.134442i	−0.00435499	−	0.00435499i	0.704926	−	0.709281i	$-0.250980\pi$
$953$	−0.134442	−	0.134442i	−0.00435499	−	0.00435499i	−0.709281	+	0.704926i	$0.750980\pi$
$954$	−10.3303	−	35.8627i	−0.334457	−	1.16110i
$955$	−0.0266268	+	0.0702663i	−0.000861623	+	0.00227377i
$956$	−5.94525	+	3.73500i	−0.192283	+	0.120799i
$957$	−3.98060	−	1.06660i	−0.128675	−	0.0344782i
$958$	10.1278	−	6.10208i	0.327216	−	0.197149i
$959$	29.3166	+	11.9630i	0.946682	+	0.386305i
$960$	8.60802	+	4.83824i	0.277823	+	0.156153i
$961$	−4.01373	−	6.95199i	−0.129475	−	0.224258i
$962$	−8.30035	+	0.154908i	−0.267614	+	0.00499444i
$963$	−1.02053	−	3.80865i	−0.0328860	−	0.122732i
$964$	−1.54057	−	41.2594i	−0.0496185	−	1.32888i
$965$	16.2212	+	11.6792i	0.522180	+	0.375968i
$966$	−2.29366	−	5.18309i	−0.0737973	−	0.166763i
$967$	−15.6803	+	15.6803i	−0.504243	+	0.504243i	−0.912754	−	0.408511i	$-0.866048\pi$
$967$	−15.6803	+	15.6803i	−0.504243	+	0.504243i	0.408511	+	0.912754i	$0.366048\pi$
$968$	22.1358	−	14.4894i	0.711473	−	0.465708i
$969$	−2.38233	+	4.12632i	−0.0765315	+	0.132556i
$970$	−27.3111	+	39.4649i	−0.876906	+	1.26714i
$971$	12.0440	+	20.8607i	0.386509	+	0.669453i	0.991977	−	0.126416i	$-0.0403475\pi$
$971$	12.0440	+	20.8607i	0.386509	+	0.669453i	−0.605468	+	0.795869i	$0.707014\pi$
$972$	−24.7250	+	7.62452i	−0.793054	+	0.244557i
$973$	26.0659	+	19.7840i	0.835635	+	0.634247i
$974$	0.433884	−	1.74921i	0.0139025	−	0.0560482i
$975$	−2.45486	+	2.77399i	−0.0786186	+	0.0888387i
$976$	5.90573	−	0.441641i	0.189038	−	0.0141366i
$977$	−8.04375	−	30.0197i	−0.257342	−	0.960415i	−0.966772	−	0.255639i	$-0.917714\pi$
$977$	−8.04375	−	30.0197i	−0.257342	−	0.960415i	0.709430	−	0.704776i	$-0.248952\pi$
$978$	7.55783	+	4.17745i	0.241673	+	0.133580i
$979$		−	2.75999i		−	0.0882098i
$980$	31.2617	+	1.64513i	0.998618	+	0.0525518i
$981$		−	44.9325i		−	1.43458i
$982$	26.9358	−	48.7321i	0.859555	−	1.55510i
$983$	−7.85700	−	29.3227i	−0.250600	−	0.935250i	−0.970486	−	0.241158i	$-0.922473\pi$
$983$	−7.85700	−	29.3227i	−0.250600	−	0.935250i	0.719886	−	0.694092i	$-0.244194\pi$
$984$	−12.9829	+	4.27046i	−0.413880	+	0.136137i
$985$	−5.39919	+	53.5842i	−0.172032	+	1.70733i
$986$	−9.52421	−	2.36244i	−0.303313	−	0.0752354i
$987$	5.19058	+	3.93965i	0.165218	+	0.125400i
$988$	−5.72521	−	18.5659i	−0.182143	−	0.590659i
$989$	16.8126	+	29.1203i	0.534610	+	0.925971i
$990$	1.95826	+	10.7592i	0.0622377	+	0.341949i
$991$	15.2152	−	26.3536i	0.483328	−	0.837149i	−0.516489	−	0.856294i	$-0.672761\pi$
$991$	15.2152	−	26.3536i	0.483328	−	0.837149i	0.999817	+	0.0191452i	$0.00609448\pi$
$992$	26.9952	−	2.52608i	0.857098	−	0.0802031i
$993$	5.99647	−	5.99647i	0.190292	−	0.190292i
$994$	−28.1211	+	12.4444i	−0.891948	+	0.394711i
$995$	−55.8820	+	9.09720i	−1.77158	+	0.288401i
$996$	−0.368506	−	9.86928i	−0.0116766	−	0.312720i
$997$	−3.93441	−	14.6834i	−0.124604	−	0.465029i	0.875221	−	0.483723i	$-0.160716\pi$
$997$	−3.93441	−	14.6834i	−0.124604	−	0.465029i	−0.999825	+	0.0186941i	$0.994049\pi$
$998$	0.541441	+	29.0117i	0.0171390	+	0.918349i
$999$	−6.87540	−	11.9085i	−0.217528	−	0.376770i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.bv.e.213.35	yes	160
5.2	odd	4	inner	280.2.bv.e.157.14	yes	160
7.5	odd	6	inner	280.2.bv.e.173.20	yes	160
8.5	even	2	inner	280.2.bv.e.213.40	yes	160
35.12	even	12	inner	280.2.bv.e.117.40	yes	160
40.37	odd	4	inner	280.2.bv.e.157.20	yes	160
56.5	odd	6	inner	280.2.bv.e.173.14	yes	160
280.117	even	12	inner	280.2.bv.e.117.35	✓	160

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.bv.e.117.35	✓	160	280.117	even	12	inner
280.2.bv.e.117.40	yes	160	35.12	even	12	inner
280.2.bv.e.157.14	yes	160	5.2	odd	4	inner
280.2.bv.e.157.20	yes	160	40.37	odd	4	inner
280.2.bv.e.173.14	yes	160	56.5	odd	6	inner
280.2.bv.e.173.20	yes	160	7.5	odd	6	inner
280.2.bv.e.213.35	yes	160	1.1	even	1	trivial
280.2.bv.e.213.40	yes	160	8.5	even	2	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:	\( N \)	\(=\)	\( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	280.bv (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(1.23773 + 0.684130i) q^{2} +(-0.533194 + 0.142869i) q^{3} +(1.06393 + 1.69353i) q^{4} +(1.41466 + 1.73169i) q^{5} +(-0.757690 - 0.187942i) q^{6} +(1.59956 - 2.10746i) q^{7} +(0.158259 + 2.82400i) q^{8} +(-2.33419 + 1.34765i) q^{9} +O(q^{10})\)	\(q+(1.23773 + 0.684130i) q^{2} +(-0.533194 + 0.142869i) q^{3} +(1.06393 + 1.69353i) q^{4} +(1.41466 + 1.73169i) q^{5} +(-0.757690 - 0.187942i) q^{6} +(1.59956 - 2.10746i) q^{7} +(0.158259 + 2.82400i) q^{8} +(-2.33419 + 1.34765i) q^{9} +(0.566260 + 3.11117i) q^{10} +(-1.11117 - 0.641534i) q^{11} +(-0.809235 - 0.750979i) q^{12} +(-0.949012 - 0.949012i) q^{13} +(3.42160 - 1.51415i) q^{14} +(-1.00169 - 0.721215i) q^{15} +(-1.73610 + 3.60360i) q^{16} +(1.15189 - 0.308647i) q^{17} +(-3.81106 + 0.0711252i) q^{18} +(6.26837 - 3.61905i) q^{19} +(-1.42757 + 4.23817i) q^{20} +(-0.551787 + 1.35222i) q^{21} +(-0.936431 - 1.55423i) q^{22} +(-0.710255 + 2.65071i) q^{23} +(-0.487844 - 1.48313i) q^{24} +(-0.997482 + 4.89949i) q^{25} +(-0.525369 - 1.82387i) q^{26} +(2.22302 - 2.22302i) q^{27} +(5.27088 + 0.466717i) q^{28} -5.81853 q^{29} +(-0.746416 - 1.57796i) q^{30} +(-4.15083 - 2.39648i) q^{31} +(-4.61415 + 3.27255i) q^{32} +(0.684125 + 0.183311i) q^{33} +(1.63688 + 0.406020i) q^{34} +(5.91230 - 0.211396i) q^{35} +(-4.76570 - 2.51923i) q^{36} +(1.13205 - 4.22488i) q^{37} +(10.2344 - 0.191004i) q^{38} +(0.641593 + 0.370424i) q^{39} +(-4.66640 + 4.26904i) q^{40} -8.75373i q^{41} +(-1.60805 + 1.29618i) q^{42} +(8.66427 - 8.66427i) q^{43} +(-0.0957496 - 2.56435i) q^{44} +(-5.63579 - 2.13563i) q^{45} +(-2.69253 + 2.79494i) q^{46} +(1.15481 - 4.30981i) q^{47} +(0.410836 - 2.16946i) q^{48} +(-1.88279 - 6.74204i) q^{49} +(-4.58650 + 5.38182i) q^{50} +(-0.570084 + 0.329138i) q^{51} +(0.597499 - 2.61687i) q^{52} +(2.53412 + 9.45747i) q^{53} +(4.27232 - 1.23065i) q^{54} +(-0.460989 - 2.83175i) q^{55} +(6.20461 + 4.18364i) q^{56} +(-2.82521 + 2.82521i) q^{57} +(-7.20174 - 3.98063i) q^{58} +(-4.85880 - 2.80523i) q^{59} +(0.155669 - 2.46372i) q^{60} +(-0.740278 - 1.28220i) q^{61} +(-3.49808 - 5.80590i) q^{62} +(-0.893574 + 7.07487i) q^{63} +(-7.94991 + 0.893843i) q^{64} +(0.300864 - 2.98592i) q^{65} +(0.721351 + 0.694919i) q^{66} +(-6.95204 + 1.86279i) q^{67} +(1.74823 + 1.62238i) q^{68} -1.51482i q^{69} +(7.46243 + 3.78314i) q^{70} -8.21871 q^{71} +(-4.17515 - 6.37847i) q^{72} +(2.84755 + 10.6272i) q^{73} +(4.29154 - 4.45477i) q^{74} +(-0.168134 - 2.75489i) q^{75} +(12.7981 + 6.76527i) q^{76} +(-3.12940 + 1.31557i) q^{77} +(0.540698 + 0.897416i) q^{78} +(-1.55856 + 0.899835i) q^{79} +(-8.69630 + 2.09148i) q^{80} +(3.17524 - 5.49967i) q^{81} +(5.98870 - 10.8347i) q^{82} +(6.32559 + 6.32559i) q^{83} +(-2.87708 + 0.504194i) q^{84} +(2.16401 + 1.55808i) q^{85} +(16.6515 - 4.79650i) q^{86} +(3.10241 - 0.831287i) q^{87} +(1.63584 - 3.23947i) q^{88} +(1.07554 + 1.86290i) q^{89} +(-5.51451 - 6.49894i) q^{90} +(-3.51801 + 0.482002i) q^{91} +(-5.24472 + 1.61733i) q^{92} +(2.55558 + 0.684766i) q^{93} +(4.37781 - 4.54432i) q^{94} +(15.1347 + 5.73514i) q^{95} +(1.99269 - 2.40413i) q^{96} +(10.7317 + 10.7317i) q^{97} +(2.28205 - 9.63287i) q^{98} +3.45824 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 160 q - 2 q^{2} + 12 q^{7} + 4 q^{8}+O(q^{10}) \) 160 * q - 2 * q^2 + 12 * q^7 + 4 * q^8	\( 160 q - 2 q^{2} + 12 q^{7} + 4 q^{8} - 6 q^{10} + 6 q^{12} - 8 q^{15} + 4 q^{16} - 12 q^{17} - 28 q^{18} - 24 q^{22} - 16 q^{23} + 20 q^{25} - 12 q^{26} - 46 q^{28} + 32 q^{30} + 48 q^{31} + 18 q^{32} - 12 q^{33} - 32 q^{36} - 48 q^{38} + 54 q^{40} + 6 q^{42} - 64 q^{46} - 132 q^{47} - 12 q^{50} - 20 q^{56} - 88 q^{57} + 6 q^{58} + 34 q^{60} - 32 q^{63} - 28 q^{65} - 180 q^{66} + 60 q^{68} - 108 q^{70} - 160 q^{71} + 52 q^{72} + 84 q^{73} + 48 q^{78} - 48 q^{80} + 16 q^{81} - 90 q^{82} - 84 q^{86} - 12 q^{87} + 44 q^{88} + 36 q^{92} - 20 q^{95} - 48 q^{96} - 94 q^{98}+O(q^{100}) \) 160 * q - 2 * q^2 + 12 * q^7 + 4 * q^8 - 6 * q^10 + 6 * q^12 - 8 * q^15 + 4 * q^16 - 12 * q^17 - 28 * q^18 - 24 * q^22 - 16 * q^23 + 20 * q^25 - 12 * q^26 - 46 * q^28 + 32 * q^30 + 48 * q^31 + 18 * q^32 - 12 * q^33 - 32 * q^36 - 48 * q^38 + 54 * q^40 + 6 * q^42 - 64 * q^46 - 132 * q^47 - 12 * q^50 - 20 * q^56 - 88 * q^57 + 6 * q^58 + 34 * q^60 - 32 * q^63 - 28 * q^65 - 180 * q^66 + 60 * q^68 - 108 * q^70 - 160 * q^71 + 52 * q^72 + 84 * q^73 + 48 * q^78 - 48 * q^80 + 16 * q^81 - 90 * q^82 - 84 * q^86 - 12 * q^87 + 44 * q^88 + 36 * q^92 - 20 * q^95 - 48 * q^96 - 94 * q^98

Introduction

L-functions

Modular forms

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