LMFDB - Embedded newform 336.2.bo.a.5.19

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [336,2,Mod(5,336)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(336, base_ring=CyclotomicField(12))

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

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

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

chi := DirichletCharacter("336.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 336 = 2^{4} \cdot 3 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	336.bo (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:	$2.68297350792$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$60$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			5.19
Character	$\chi$	$=$	336.5
Dual form			336.2.bo.a.269.19

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.832268 - 1.14338i) q^{2} +(0.838260 + 1.51569i) q^{3} +(-0.614658 + 1.90321i) q^{4} +(3.73210 - 1.00001i) q^{5} +(1.03536 - 2.21992i) q^{6} +(0.762031 - 2.53364i) q^{7} +(2.68766 - 0.881188i) q^{8} +(-1.59464 + 2.54109i) q^{9} +O(q^{10})$	\(q+(-0.832268 - 1.14338i) q^{2} +(0.838260 + 1.51569i) q^{3} +(-0.614658 + 1.90321i) q^{4} +(3.73210 - 1.00001i) q^{5} +(1.03536 - 2.21992i) q^{6} +(0.762031 - 2.53364i) q^{7} +(2.68766 - 0.881188i) q^{8} +(-1.59464 + 2.54109i) q^{9} +(-4.24951 - 3.43495i) q^{10} +(-1.19364 - 0.319834i) q^{11} +(-3.39992 + 0.663750i) q^{12} +(0.320762 + 0.320762i) q^{13} +(-3.53113 + 1.23737i) q^{14} +(4.64419 + 4.81845i) q^{15} +(-3.24439 - 2.33964i) q^{16} +(1.71763 + 2.97503i) q^{17} +(4.23261 - 0.291579i) q^{18} +(-4.20362 + 1.12636i) q^{19} +(-0.390735 + 7.71763i) q^{20} +(4.47899 - 0.968842i) q^{21} +(0.627732 + 1.63097i) q^{22} +(4.70952 - 8.15713i) q^{23} +(3.58857 + 3.33500i) q^{24} +(8.59845 - 4.96432i) q^{25} +(0.0997943 - 0.633714i) q^{26} +(-5.18823 - 0.286891i) q^{27} +(4.35364 + 3.00762i) q^{28} +(5.16220 + 5.16220i) q^{29} +(1.64413 - 9.32033i) q^{30} +(-5.03270 + 2.90563i) q^{31} +(0.0250903 + 5.65680i) q^{32} +(-0.515808 - 2.07729i) q^{33} +(1.97207 - 4.43994i) q^{34} +(0.310306 - 10.2178i) q^{35} +(-3.85605 - 4.59683i) q^{36} +(-6.08550 + 1.63060i) q^{37} +(4.78640 + 3.86893i) q^{38} +(-0.217294 + 0.755058i) q^{39} +(9.14942 - 5.97638i) q^{40} +0.676691i q^{41} +(-4.83548 - 4.31487i) q^{42} +(2.93868 + 2.93868i) q^{43} +(1.34239 - 2.07515i) q^{44} +(-3.41024 + 11.0783i) q^{45} +(-13.2463 + 1.40413i) q^{46} +(0.930896 - 1.61236i) q^{47} +(0.826535 - 6.87872i) q^{48} +(-5.83862 - 3.86142i) q^{49} +(-12.8323 - 5.69969i) q^{50} +(-3.06940 + 5.09725i) q^{51} +(-0.807635 + 0.413317i) q^{52} +(-3.66640 - 0.982408i) q^{53} +(3.98997 + 6.17091i) q^{54} -4.77461 q^{55} +(-0.184530 - 7.48104i) q^{56} +(-5.23094 - 5.42721i) q^{57} +(1.60605 - 10.1987i) q^{58} +(0.0701848 - 0.261933i) q^{59} +(-12.0251 + 5.87715i) q^{60} +(3.82963 - 1.02615i) q^{61} +(7.51081 + 3.33605i) q^{62} +(5.22302 + 5.97662i) q^{63} +(6.44702 - 4.73666i) q^{64} +(1.51788 + 0.876350i) q^{65} +(-1.94585 + 2.31863i) q^{66} +(-1.15060 - 0.308303i) q^{67} +(-6.71785 + 1.44038i) q^{68} +(16.3115 + 0.300385i) q^{69} +(-11.9412 + 8.14918i) q^{70} -9.39773 q^{71} +(-2.04667 + 8.23475i) q^{72} +(2.06610 + 3.57859i) q^{73} +(6.92918 + 5.60097i) q^{74} +(14.7321 + 8.87121i) q^{75} +(0.440101 - 8.69268i) q^{76} +(-1.71993 + 2.78052i) q^{77} +(1.04417 - 0.379960i) q^{78} +(-5.02696 + 8.70695i) q^{79} +(-14.4481 - 5.48736i) q^{80} +(-3.91424 - 8.10424i) q^{81} +(0.773718 - 0.563189i) q^{82} +(-3.58644 + 3.58644i) q^{83} +(-0.909142 + 9.11995i) q^{84} +(9.38546 + 9.38546i) q^{85} +(0.914273 - 5.80582i) q^{86} +(-3.49704 + 12.1516i) q^{87} +(-3.48992 + 0.192213i) q^{88} +(-8.44647 - 4.87657i) q^{89} +(15.5050 - 5.32087i) q^{90} +(1.05712 - 0.568263i) q^{91} +(12.6300 + 13.9770i) q^{92} +(-8.62274 - 5.19234i) q^{93} +(-2.61830 + 0.277543i) q^{94} +(-14.5620 + 8.40736i) q^{95} +(-8.55293 + 4.77990i) q^{96} +3.50602i q^{97} +(0.444213 + 9.88952i) q^{98} +(2.71615 - 2.52311i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 6 q^{3} - 4 q^{4}+O(q^{10}) $ 240 * q - 6 * q^3 - 4 * q^4	$ 240 q - 6 q^{3} - 4 q^{4} - 12 q^{10} - 6 q^{12} - 16 q^{15} - 20 q^{16} - 4 q^{18} - 12 q^{19} + 2 q^{21} - 40 q^{22} - 6 q^{24} - 12 q^{28} + 22 q^{30} - 24 q^{31} - 12 q^{33} - 64 q^{36} - 4 q^{37} + 48 q^{40} - 18 q^{42} - 16 q^{43} - 6 q^{45} + 12 q^{46} - 16 q^{49} - 10 q^{51} - 48 q^{52} - 90 q^{54} - 4 q^{58} - 18 q^{60} - 12 q^{61} - 36 q^{63} + 32 q^{64} - 66 q^{66} - 36 q^{67} - 76 q^{70} - 46 q^{72} + 24 q^{75} - 76 q^{78} - 8 q^{79} - 4 q^{81} + 72 q^{82} - 24 q^{84} + 24 q^{85} + 12 q^{88} - 88 q^{91} - 14 q^{93} + 24 q^{94} + 96 q^{96} + 28 q^{99}+O(q^{100}) $ 240 * q - 6 * q^3 - 4 * q^4 - 12 * q^10 - 6 * q^12 - 16 * q^15 - 20 * q^16 - 4 * q^18 - 12 * q^19 + 2 * q^21 - 40 * q^22 - 6 * q^24 - 12 * q^28 + 22 * q^30 - 24 * q^31 - 12 * q^33 - 64 * q^36 - 4 * q^37 + 48 * q^40 - 18 * q^42 - 16 * q^43 - 6 * q^45 + 12 * q^46 - 16 * q^49 - 10 * q^51 - 48 * q^52 - 90 * q^54 - 4 * q^58 - 18 * q^60 - 12 * q^61 - 36 * q^63 + 32 * q^64 - 66 * q^66 - 36 * q^67 - 76 * q^70 - 46 * q^72 + 24 * q^75 - 76 * q^78 - 8 * q^79 - 4 * q^81 + 72 * q^82 - 24 * q^84 + 24 * q^85 + 12 * q^88 - 88 * q^91 - 14 * q^93 + 24 * q^94 + 96 * q^96 + 28 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/336\mathbb{Z}\right)^\times$.

$n$	$85$	$113$	$127$	$241$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$-1$	$1$	$e\left(\frac{5}{6}\right)$

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 $

$2$	−0.832268	−	1.14338i	−0.588503	−	0.808495i
$2$	−0.832268	−	1.14338i	−0.588503	−	0.808495i
$3$	0.838260	+	1.51569i	0.483970	+	0.875085i
$3$	0.838260	+	1.51569i	0.483970	+	0.875085i
$4$	−0.614658	+	1.90321i	−0.307329	+	0.951603i
$5$	3.73210	−	1.00001i	1.66905	−	0.447220i	0.704194	−	0.710007i	$-0.251308\pi$
$5$	3.73210	−	1.00001i	1.66905	−	0.447220i	0.964854	+	0.262787i	$0.0846418\pi$
$6$	1.03536	−	2.21992i	0.422684	−	0.906277i
$7$	0.762031	−	2.53364i	0.288021	−	0.957624i
$7$	0.762031	−	2.53364i	0.288021	−	0.957624i
$8$	2.68766	−	0.881188i	0.950231	−	0.311547i
$9$	−1.59464	+	2.54109i	−0.531547	+	0.847029i
$10$	−4.24951	−	3.43495i	−1.34381	−	1.08623i
$11$	−1.19364	−	0.319834i	−0.359895	−	0.0964335i	0.0743407	−	0.997233i	$-0.476315\pi$
$11$	−1.19364	−	0.319834i	−0.359895	−	0.0964335i	−0.434236	+	0.900799i	$0.642981\pi$
$12$	−3.39992	+	0.663750i	−0.981472	+	0.191608i
$13$	0.320762	+	0.320762i	0.0889633	+	0.0889633i	0.750188	−	0.661225i	$-0.229963\pi$
$13$	0.320762	+	0.320762i	0.0889633	+	0.0889633i	−0.661225	+	0.750188i	$0.729963\pi$
$14$	−3.53113	+	1.23737i	−0.943736	+	0.330701i
$15$	4.64419	+	4.81845i	1.19912	+	1.24412i
$16$	−3.24439	−	2.33964i	−0.811098	−	0.584911i
$17$	1.71763	+	2.97503i	0.416587	+	0.721550i	0.995594	−	0.0937728i	$-0.0298927\pi$
$17$	1.71763	+	2.97503i	0.416587	+	0.721550i	−0.579006	+	0.815323i	$0.696559\pi$
$18$	4.23261	−	0.291579i	0.997636	−	0.0687257i
$19$	−4.20362	+	1.12636i	−0.964377	+	0.258404i	−0.706452	−	0.707761i	$-0.749705\pi$
$19$	−4.20362	+	1.12636i	−0.964377	+	0.258404i	−0.257925	+	0.966165i	$0.583039\pi$
$20$	−0.390735	+	7.71763i	−0.0873711	+	1.72572i
$21$	4.47899	−	0.968842i	0.977396	−	0.211419i
$22$	0.627732	+	1.63097i	0.133833	+	0.347725i
$23$	4.70952	−	8.15713i	0.982004	−	1.70088i	0.327443	−	0.944871i	$-0.393813\pi$
$23$	4.70952	−	8.15713i	0.982004	−	1.70088i	0.654561	−	0.756009i	$-0.272853\pi$
$24$	3.58857	+	3.33500i	0.732513	+	0.680753i
$25$	8.59845	−	4.96432i	1.71969	−	0.992863i
$26$	0.0997943	−	0.633714i	0.0195713	−	0.124282i
$27$	−5.18823	−	0.286891i	−0.998475	−	0.0552122i
$28$	4.35364	+	3.00762i	0.822761	+	0.568387i
$29$	5.16220	+	5.16220i	0.958596	+	0.958596i	0.999176	−	0.0405800i	$-0.0129206\pi$
$29$	5.16220	+	5.16220i	0.958596	+	0.958596i	−0.0405800	+	0.999176i	$0.512921\pi$
$30$	1.64413	−	9.32033i	0.300175	−	1.70165i
$31$	−5.03270	+	2.90563i	−0.903899	+	0.521866i	−0.878463	−	0.477810i	$-0.841431\pi$
$31$	−5.03270	+	2.90563i	−0.903899	+	0.521866i	−0.0254357	+	0.999676i	$0.508097\pi$
$32$	0.0250903	+	5.65680i	0.00443538	+	0.999990i
$33$	−0.515808	−	2.07729i	−0.0897906	−	0.361609i
$34$	1.97207	−	4.43994i	0.338207	−	0.761443i
$35$	0.310306	−	10.2178i	0.0524513	−	1.72713i
$36$	−3.85605	−	4.59683i	−0.642676	−	0.766138i
$37$	−6.08550	+	1.63060i	−1.00045	+	0.268070i	−0.721634	−	0.692275i	$-0.756609\pi$
$37$	−6.08550	+	1.63060i	−1.00045	+	0.268070i	−0.278816	+	0.960345i	$0.589942\pi$
$38$	4.78640	+	3.86893i	0.776457	+	0.627623i
$39$	−0.217294	+	0.755058i	−0.0347949	+	0.120906i
$40$	9.14942	−	5.97638i	1.44665	−	0.944949i
$41$			0.676691i			0.105681i	0.998603	+	0.0528407i	$0.0168276\pi$
$41$			0.676691i			0.105681i	−0.998603	+	0.0528407i	$0.983172\pi$
$42$	−4.83548	−	4.31487i	−0.746131	−	0.665799i
$43$	2.93868	+	2.93868i	0.448145	+	0.448145i	0.894737	−	0.446593i	$-0.147363\pi$
$43$	2.93868	+	2.93868i	0.448145	+	0.448145i	−0.446593	+	0.894737i	$0.647363\pi$
$44$	1.34239	−	2.07515i	0.202373	−	0.312840i
$45$	−3.41024	+	11.0783i	−0.508369	+	1.65145i
$46$	−13.2463	+	1.40413i	−1.95307	+	0.207027i
$47$	0.930896	−	1.61236i	0.135785	−	0.235187i	−0.790112	−	0.612963i	$-0.789978\pi$
$47$	0.930896	−	1.61236i	0.135785	−	0.235187i	0.925897	+	0.377776i	$0.123311\pi$
$48$	0.826535	−	6.87872i	0.119300	−	0.992858i
$49$	−5.83862	−	3.86142i	−0.834088	−	0.551631i
$50$	−12.8323	−	5.69969i	−1.81477	−	0.806058i
$51$	−3.06940	+	5.09725i	−0.429802	+	0.713757i
$52$	−0.807635	+	0.413317i	−0.111999	+	0.0573168i
$53$	−3.66640	−	0.982408i	−0.503618	−	0.134944i	−0.00193952	−	0.999998i	$-0.500617\pi$
$53$	−3.66640	−	0.982408i	−0.503618	−	0.134944i	−0.501679	+	0.865054i	$0.667284\pi$
$54$	3.98997	+	6.17091i	0.542966	+	0.839755i
$55$	−4.77461			−0.643809
$56$	−0.184530	−	7.48104i	−0.0246589	−	0.999696i
$57$	−5.23094	−	5.42721i	−0.692854	−	0.718852i
$58$	1.60605	−	10.1987i	0.210884	−	1.33916i
$59$	0.0701848	−	0.261933i	0.00913728	−	0.0341008i	−0.961207	−	0.275829i	$-0.911048\pi$
$59$	0.0701848	−	0.261933i	0.00913728	−	0.0341008i	0.970344	+	0.241728i	$0.0777143\pi$
$60$	−12.0251	+	5.87715i	−1.55243	+	0.758737i
$61$	3.82963	−	1.02615i	0.490334	−	0.131385i	−0.00517655	−	0.999987i	$-0.501648\pi$
$61$	3.82963	−	1.02615i	0.490334	−	0.131385i	0.495510	+	0.868602i	$0.334981\pi$
$62$	7.51081	+	3.33605i	0.953873	+	0.423678i
$63$	5.22302	+	5.97662i	0.658039	+	0.752984i
$64$	6.44702	−	4.73666i	0.805877	−	0.592083i
$65$	1.51788	+	0.876350i	0.188270	+	0.108698i
$66$	−1.94585	+	2.31863i	−0.239517	+	0.285403i
$67$	−1.15060	−	0.308303i	−0.140568	−	0.0376652i	0.187849	−	0.982198i	$-0.439849\pi$
$67$	−1.15060	−	0.308303i	−0.140568	−	0.0376652i	−0.328417	+	0.944533i	$0.606515\pi$
$68$	−6.71785	+	1.44038i	−0.814659	+	0.174672i
$69$	16.3115	+	0.300385i	1.96367	+	0.0361621i
$70$	−11.9412	+	8.14918i	−1.42724	+	0.974014i
$71$	−9.39773			−1.11531			−0.557653	−	0.830074i	$-0.688298\pi$
$71$	−9.39773			−1.11531			−0.557653	+	0.830074i	$0.688298\pi$
$72$	−2.04667	+	8.23475i	−0.241203	+	0.970475i
$73$	2.06610	+	3.57859i	0.241819	+	0.418843i	0.961232	−	0.275739i	$-0.0889226\pi$
$73$	2.06610	+	3.57859i	0.241819	+	0.418843i	−0.719413	+	0.694582i	$0.755589\pi$
$74$	6.92918	+	5.60097i	0.805501	+	0.651099i
$75$	14.7321	+	8.87121i	1.70112	+	1.02436i
$76$	0.440101	−	8.69268i	0.0504831	−	0.997119i
$77$	−1.71993	+	2.78052i	−0.196004	+	0.316869i
$78$	1.04417	−	0.379960i	0.118229	−	0.0430220i
$79$	−5.02696	+	8.70695i	−0.565577	+	0.979608i	0.431419	+	0.902152i	$0.358013\pi$
$79$	−5.02696	+	8.70695i	−0.565577	+	0.979608i	−0.996996	+	0.0774563i	$0.975320\pi$
$80$	−14.4481	−	5.48736i	−1.61534	−	0.613505i
$81$	−3.91424	−	8.10424i	−0.434916	−	0.900471i
$82$	0.773718	−	0.563189i	0.0854429	−	0.0621938i
$83$	−3.58644	+	3.58644i	−0.393662	+	0.393662i	−0.875991	−	0.482328i	$-0.839791\pi$
$83$	−3.58644	+	3.58644i	−0.393662	+	0.393662i	0.482328	+	0.875991i	$0.339791\pi$
$84$	−0.909142	+	9.11995i	−0.0991955	+	0.995068i
$85$	9.38546	+	9.38546i	1.01800	+	1.01800i
$86$	0.914273	−	5.80582i	0.0985886	−	0.626058i
$87$	−3.49704	+	12.1516i	−0.374922	+	1.30278i
$88$	−3.48992	+	0.192213i	−0.372027	+	0.0204900i
$89$	−8.44647	−	4.87657i	−0.895324	−	0.516916i	−0.0196441	−	0.999807i	$-0.506253\pi$
$89$	−8.44647	−	4.87657i	−0.895324	−	0.516916i	−0.875680	+	0.482891i	$0.839587\pi$
$90$	15.5050	−	5.32087i	1.63437	−	0.560869i
$91$	1.05712	−	0.568263i	0.110817	−	0.0595702i
$92$	12.6300	+	13.9770i	1.31676	+	1.45721i
$93$	−8.62274	−	5.19234i	−0.894137	−	0.538421i
$94$	−2.61830	+	0.277543i	−0.270057	+	0.0286264i
$95$	−14.5620	+	8.40736i	−1.49403	+	0.862577i
$96$	−8.55293	+	4.77990i	−0.872930	+	0.487846i
$97$			3.50602i			0.355982i	0.984032	+	0.177991i	$0.0569598\pi$
$97$			3.50602i			0.355982i	−0.984032	+	0.177991i	$0.943040\pi$
$98$	0.444213	+	9.88952i	0.0448723	+	0.998993i
$99$	2.71615	−	2.52311i	0.272983	−	0.253582i
$100$	4.16301	+	19.4160i	0.416301	+	1.94160i
$101$	2.90166	−	10.8291i	0.288726	−	1.07754i	−0.657348	−	0.753587i	$-0.728322\pi$
$101$	2.90166	−	10.8291i	0.288726	−	1.07754i	0.946074	−	0.323951i	$-0.105011\pi$
$102$	8.38268	−	0.732772i	0.830009	−	0.0725553i
$103$	−4.53520	+	7.85519i	−0.446866	+	0.773995i	−0.998180	−	0.0603028i	$-0.980793\pi$
$103$	−4.53520	+	7.85519i	−0.446866	+	0.773995i	0.551314	+	0.834298i	$0.314127\pi$
$104$	1.14475	+	0.579447i	0.112252	+	0.0568195i
$105$	15.7472	−	8.09487i	1.53677	−	0.789979i
$106$	1.92816	+	5.00973i	0.187279	+	0.486588i
$107$	−1.55598	−	5.80699i	−0.150422	−	0.561383i	−0.999454	−	0.0330412i	$-0.989481\pi$
$107$	−1.55598	−	5.80699i	−0.150422	−	0.561383i	0.849032	−	0.528342i	$-0.177186\pi$
$108$	3.73500	−	9.69793i	0.359401	−	0.933183i
$109$	−9.71180	−	2.60227i	−0.930222	−	0.249252i	−0.238273	−	0.971198i	$-0.576581\pi$
$109$	−9.71180	−	2.60227i	−0.930222	−	0.249252i	−0.691949	+	0.721946i	$0.743248\pi$
$110$	3.97376	+	5.45922i	0.378883	+	0.520516i
$111$	−7.57272	−	7.85687i	−0.718771	−	0.745741i
$112$	−8.40013	+	6.43722i	−0.793738	+	0.608260i
$113$		−	9.40028i		−	0.884304i	−0.896940	−	0.442152i	$-0.854215\pi$
$113$		−	9.40028i		−	0.884304i	0.896940	−	0.442152i	$-0.145785\pi$
$114$	−1.85185	+	10.4979i	−0.173442	+	0.983216i
$115$	9.41918	−	35.1529i	0.878343	−	3.27802i
$116$	−12.9977	+	6.65174i	−1.20681	+	0.617599i
$117$	−1.32658	+	0.303584i	−0.122643	+	0.0280663i
$118$	−0.357903	+	0.137751i	−0.0329477	+	0.0126810i
$119$	8.84652	−	2.08479i	0.810960	−	0.191113i
$120$	16.7279	+	8.85794i	1.52705	+	0.808615i
$121$	−8.20381	−	4.73647i	−0.745801	−	0.430588i
$122$	−4.36056	−	3.52471i	−0.394786	−	0.319112i
$123$	−1.02565	+	0.567243i	−0.0924802	+	0.0511466i
$124$	−2.43662	−	11.3642i	−0.218815	−	1.02054i
$125$	13.4655	−	13.4655i	1.20439	−	1.20439i
$126$	2.48662	−	10.9461i	0.221526	−	0.975154i
$127$	−19.5964			−1.73890			−0.869452	−	0.494018i	$-0.835528\pi$
$127$	−19.5964			−1.73890			−0.869452	+	0.494018i	$0.835528\pi$
$128$	−10.7815	−	3.42925i	−0.952957	−	0.303105i
$129$	−1.99076	+	6.91752i	−0.175276	+	0.609053i
$130$	−0.261281	−	2.46488i	−0.0229158	−	0.216185i
$131$	0.691090	+	2.57918i	0.0603808	+	0.225344i	0.989522	−	0.144380i	$-0.0461188\pi$
$131$	0.691090	+	2.57918i	0.0603808	+	0.225344i	−0.929141	+	0.369724i	$0.879452\pi$
$132$	4.27055	+	0.295133i	0.371704	+	0.0256880i
$133$	−0.349510	+	11.5088i	−0.0303064	+	0.997936i
$134$	0.605101	+	1.57217i	0.0522727	+	0.135815i
$135$	−19.6499	+	4.11759i	−1.69119	+	0.354386i
$136$	7.23797	+	6.48230i	0.620651	+	0.555853i
$137$	−3.13704	−	5.43351i	−0.268015	−	0.464216i	0.700334	−	0.713815i	$-0.253034\pi$
$137$	−3.13704	−	5.43351i	−0.268015	−	0.464216i	−0.968349	+	0.249599i	$0.919701\pi$
$138$	−13.2321	−	18.9003i	−1.12639	−	1.60890i
$139$	2.87026	−	2.87026i	0.243452	−	0.243452i	−0.574824	−	0.818277i	$-0.694930\pi$
$139$	2.87026	−	2.87026i	0.243452	−	0.243452i	0.818277	+	0.574824i	$0.194930\pi$
$140$	19.2559	+	6.87105i	1.62742	+	0.580710i
$141$	3.22417	+	0.0593748i	0.271524	+	0.00500026i
$142$	7.82144	+	10.7452i	0.656360	+	0.901719i
$143$	−0.280282	−	0.485463i	−0.0234384	−	0.0405965i
$144$	11.1189	−	4.51339i	0.926573	−	0.376116i
$145$	24.4281	+	14.1036i	2.02865	+	1.17124i
$146$	2.37216	−	5.34070i	0.196321	−	0.442000i
$147$	0.958435	−	12.0864i	0.0790503	−	0.996871i
$148$	0.637126	−	12.5842i	0.0523714	−	1.03442i
$149$	5.11908	+	19.1047i	0.419371	+	1.56511i	0.775916	+	0.630836i	$0.217288\pi$
$149$	5.11908	+	19.1047i	0.419371	+	1.56511i	−0.356545	+	0.934278i	$0.616045\pi$
$150$	−2.11787	−	24.2277i	−0.172923	−	1.97818i
$151$	14.8452	−	8.57091i	1.20809	−	0.697491i	0.245748	−	0.969334i	$-0.420967\pi$
$151$	14.8452	−	8.57091i	1.20809	−	0.697491i	0.962342	+	0.271843i	$0.0876332\pi$
$152$	−10.3054	+	6.73144i	−0.835876	+	0.545992i
$153$	−10.2988	−	0.379444i	−0.832609	−	0.0306763i
$154$	4.61064	−	0.347594i	0.371536	−	0.0280099i
$155$	−15.8769	+	15.8769i	−1.27526	+	1.27526i
$156$	−1.30347	−	0.877658i	−0.104361	−	0.0702689i
$157$	0.0439960	−	0.164195i	0.00351126	−	0.0131042i	−0.964148	−	0.265365i	$-0.914507\pi$
$157$	0.0439960	−	0.164195i	0.00351126	−	0.0131042i	0.967659	+	0.252261i	$0.0811741\pi$
$158$	14.1392	−	1.49877i	1.12485	−	0.119236i
$159$	−1.58437	−	6.38064i	−0.125648	−	0.506018i
$160$	5.75052	+	21.0867i	0.454618	+	1.66705i
$161$	−17.0784	−	18.1482i	−1.34597	−	1.43028i
$162$	−6.00856	+	11.2204i	−0.472077	+	0.881557i
$163$	4.35897	+	16.2679i	0.341421	+	1.27420i	0.896738	+	0.442561i	$0.145930\pi$
$163$	4.35897	+	16.2679i	0.341421	+	1.27420i	−0.555317	+	0.831639i	$0.687403\pi$
$164$	−1.28788	−	0.415934i	−0.100567	−	0.0324790i
$165$	−4.00237	−	7.23684i	−0.311584	−	0.563387i
$166$	7.08555	+	1.11580i	0.549946	+	0.0866028i
$167$		−	3.82117i		−	0.295691i	−0.989010	−	0.147845i	$-0.952766\pi$
$167$		−	3.82117i		−	0.295691i	0.989010	−	0.147845i	$-0.0472338\pi$
$168$	11.1843	−	6.55075i	0.862885	−	0.505401i
$169$		−	12.7942i		−	0.984171i
$170$	2.91997	−	18.5424i	0.223951	−	1.42214i
$171$	3.84109	−	12.4779i	0.293736	−	0.954209i
$172$	−7.39921	+	3.78663i	−0.564184	+	0.288728i
$173$	5.33270	+	19.9019i	0.405438	+	1.51311i	0.803247	+	0.595646i	$0.203104\pi$
$173$	5.33270	+	19.9019i	0.405438	+	1.51311i	−0.397810	+	0.917468i	$0.630230\pi$
$174$	16.8044	−	6.11491i	1.27394	−	0.463570i
$175$	−6.02549	−	25.5683i	−0.455484	−	1.93278i
$176$	3.12432	+	3.83035i	0.235505	+	0.288723i
$177$	0.455843	−	0.113190i	0.0342633	−	0.00850786i
$178$	1.45393	+	13.7162i	0.108977	+	1.02807i
$179$	1.17551	−	4.38705i	0.0878615	−	0.327904i	−0.907979	−	0.419015i	$-0.862375\pi$
$179$	1.17551	−	4.38705i	0.0878615	−	0.327904i	0.995841	+	0.0911117i	$0.0290420\pi$
$180$	−18.9881	−	13.2997i	−1.41529	−	0.991304i
$181$	11.2922	−	11.2922i	0.839345	−	0.839345i	−0.149428	−	0.988773i	$-0.547743\pi$
$181$	11.2922	−	11.2922i	0.839345	−	0.839345i	0.988773	+	0.149428i	$0.0477431\pi$
$182$	−1.52955	−	0.735752i	−0.113378	−	0.0545376i
$183$	4.76555	+	4.94436i	0.352279	+	0.365497i
$184$	5.46963	−	26.0736i	0.403226	−	1.92217i
$185$	−21.0811	+	12.1712i	−1.54991	+	0.894843i
$186$	1.23959	+	14.1805i	0.0908913	+	1.03977i
$187$	−1.09871	−	4.10046i	−0.0803459	−	0.299855i
$188$	2.49647	+	2.76274i	0.182074	+	0.201493i
$189$	−4.68047	+	12.9265i	−0.340454	+	0.940261i
$190$	21.7323	+	9.65277i	1.57663	+	0.700285i
$191$	9.92834	+	5.73213i	0.718389	+	0.414762i	0.814160	−	0.580641i	$-0.197198\pi$
$191$	9.92834	+	5.73213i	0.718389	+	0.414762i	−0.0957703	+	0.995403i	$0.530531\pi$
$192$	12.5836	+	5.80113i	0.908143	+	0.418661i
$193$	−1.57433	−	2.72682i	−0.113323	−	0.196281i	0.803785	−	0.594920i	$-0.202816\pi$
$193$	−1.57433	−	2.72682i	−0.113323	−	0.196281i	−0.917108	+	0.398639i	$0.869483\pi$
$194$	4.00873	−	2.91795i	0.287810	−	0.209496i
$195$	−0.0558957	+	3.03525i	−0.00400278	+	0.217359i
$196$	10.9378	−	8.73865i	0.781273	−	0.624189i
$197$	15.9914	−	15.9914i	1.13934	−	1.13934i	0.150768	−	0.988569i	$-0.451825\pi$
$197$	15.9914	−	15.9914i	1.13934	−	1.13934i	0.988569	−	0.150768i	$-0.0481747\pi$
$198$	−5.14545	−	1.00569i	−0.365671	−	0.0714715i
$199$	0.417409	+	0.722973i	0.0295893	+	0.0512502i	0.880441	−	0.474156i	$-0.157247\pi$
$199$	0.417409	+	0.722973i	0.0295893	+	0.0512502i	−0.850852	+	0.525406i	$0.823913\pi$
$200$	18.7352	−	20.9192i	1.32478	−	1.47921i
$201$	−0.497211	−	2.00239i	−0.0350706	−	0.141238i
$202$	−14.7968	+	5.69503i	−1.04110	+	0.400701i
$203$	17.0129	−	9.14538i	1.19407	−	0.641880i
$204$	−7.81448	−	8.97477i	−0.547123	−	0.628360i
$205$	0.676701	+	2.52548i	0.0472628	+	0.176387i
$206$	12.7560	−	1.35215i	0.888753	−	0.0942089i
$207$	13.2180	+	24.9750i	0.918714	+	1.73588i
$208$	−0.290208	−	1.79115i	−0.0201223	−	0.124194i
$209$	5.37784			0.371993
$210$	−22.3615	−	11.2680i	−1.54309	−	0.777566i
$211$	−2.63735	+	2.63735i	−0.181563	+	0.181563i	−0.792037	−	0.610474i	$-0.790979\pi$
$211$	−2.63735	+	2.63735i	−0.181563	+	0.181563i	0.610474	+	0.792037i	$0.290979\pi$
$212$	4.12331	−	6.37406i	0.283190	−	0.437773i
$213$	−7.87774	−	14.2441i	−0.539774	−	0.975987i
$214$	−5.34463	+	6.61206i	−0.365352	+	0.451991i
$215$	13.9062	+	8.02875i	0.948395	+	0.547556i
$216$	−14.1970	+	3.80074i	−0.965983	+	0.258607i
$217$	3.52673	+	14.9652i	0.239410	+	1.01590i
$218$	5.10743	+	13.2701i	0.345919	+	0.898766i
$219$	−3.69211	+	6.13137i	−0.249490	+	0.414319i
$220$	2.93476	−	9.08707i	0.197861	−	0.612650i
$221$	−0.403324	+	1.50523i	−0.0271305	+	0.101253i
$222$	−2.68089	+	15.1976i	−0.179929	+	1.01999i
$223$		−	16.8325i		−	1.12719i	−0.826053	−	0.563593i	$-0.809419\pi$
$223$		−	16.8325i		−	1.12719i	0.826053	−	0.563593i	$-0.190581\pi$
$224$	14.3514	+	4.24708i	0.958892	+	0.283770i
$225$	−1.09667	+	29.7657i	−0.0731116	+	1.98438i
$226$	−10.7481	+	7.82355i	−0.714955	+	0.520415i
$227$	10.5614	+	2.82992i	0.700986	+	0.187829i	0.591672	−	0.806179i	$-0.298468\pi$
$227$	10.5614	+	2.82992i	0.700986	+	0.187829i	0.109314	+	0.994007i	$0.465135\pi$
$228$	13.5443	−	6.61967i	0.896996	−	0.438398i
$229$	−2.03383	−	7.59035i	−0.134399	−	0.501584i	−1.00000		0.000849152i	$-0.999730\pi$
$229$	−2.03383	−	7.59035i	−0.134399	−	0.501584i	0.865601	−	0.500735i	$-0.166937\pi$
$230$	−48.0326	+	18.4869i	−3.16717	+	1.21899i
$231$	−5.65615	−	0.276087i	−0.372147	−	0.0181652i
$232$	18.4231	+	9.32536i	1.20954	+	0.612240i
$233$	−1.83715	+	3.18204i	−0.120356	+	0.208462i	−0.919908	−	0.392134i	$-0.871737\pi$
$233$	−1.83715	+	3.18204i	−0.120356	+	0.208462i	0.799552	+	0.600597i	$0.205070\pi$
$234$	1.45119	+	1.26413i	0.0948671	+	0.0826389i
$235$	1.86182	−	6.94840i	0.121452	−	0.453264i
$236$	0.455373	+	0.294576i	0.0296423	+	0.0191752i
$237$	−17.4109	−	0.320631i	−1.13096	−	0.0208273i
$238$	−9.74641	−	8.37988i	−0.631766	−	0.543187i
$239$		−	10.9084i		−	0.705607i	−0.935697	−	0.352804i	$-0.885228\pi$
$239$		−	10.9084i		−	0.705607i	0.935697	−	0.352804i	$-0.114772\pi$
$240$	−3.79411	−	26.4987i	−0.244909	−	1.71048i
$241$	−0.483523	+	0.279162i	−0.0311465	+	0.0179824i	−0.515492	−	0.856894i	$-0.672391\pi$
$241$	−0.483523	+	0.279162i	−0.0311465	+	0.0179824i	0.484346	+	0.874877i	$0.339058\pi$
$242$	1.41216	+	13.3221i	0.0907771	+	0.856379i
$243$	9.00237	−	12.7262i	0.577502	−	0.816389i
$244$	−0.400946	+	7.91930i	−0.0256679	+	0.506981i
$245$	−25.6518	−	8.57251i	−1.63883	−	0.547677i
$246$	1.50220	+	0.700620i	0.0957766	+	0.0446699i
$247$	−1.70965	−	0.987069i	−0.108783	−	0.0628057i
$248$	−10.9658	+	12.2441i	−0.696327	+	0.777500i
$249$	−8.44229	−	2.42956i	−0.535009	−	0.153967i
$250$	−26.6031	−	4.18933i	−1.68253	−	0.264957i
$251$	14.8578	+	14.8578i	0.937819	+	0.937819i	0.998177	−	0.0603577i	$-0.0192241\pi$
$251$	14.8578	+	14.8578i	0.937819	+	0.937819i	−0.0603577	+	0.998177i	$0.519224\pi$
$252$	−14.5851	+	6.26691i	−0.918776	+	0.394778i
$253$	−8.23039	+	8.23039i	−0.517440	+	0.517440i
$254$	16.3095	+	22.4063i	1.02335	+	1.40590i
$255$	−6.35800	+	22.0929i	−0.398154	+	1.38351i
$256$	5.05214	+	15.1814i	0.315758	+	0.948840i
$257$	−8.94224	+	15.4884i	−0.557802	+	0.966141i	0.439878	+	0.898058i	$0.355022\pi$
$257$	−8.94224	+	15.4884i	−0.557802	+	0.966141i	−0.997680	+	0.0680833i	$0.978312\pi$
$258$	9.56623	−	3.48103i	0.595567	−	0.216720i
$259$	−0.505979	+	16.6610i	−0.0314400	+	1.03526i
$260$	−2.60086	+	2.35019i	−0.161298	+	0.145753i
$261$	−21.3494	+	4.88574i	−1.32150	+	0.302420i
$262$	2.37383	−	2.93676i	0.146656	−	0.181433i
$263$	2.22684	+	3.85700i	0.137313	+	0.237833i	0.926479	−	0.376347i	$-0.122820\pi$
$263$	2.22684	+	3.85700i	0.137313	+	0.237833i	−0.789166	+	0.614180i	$0.789487\pi$
$264$	−3.21680	−	5.12852i	−0.197980	−	0.315638i
$265$	−14.6658			−0.900913
$266$	13.4498	−	9.17875i	0.824662	−	0.562786i
$267$	0.311040	−	16.8901i	0.0190353	−	1.03366i
$268$	1.29399	−	2.00033i	0.0790431	−	0.122190i
$269$	−2.86321	−	0.767196i	−0.174573	−	0.0467768i	0.170473	−	0.985362i	$-0.445470\pi$
$269$	−2.86321	−	0.767196i	−0.174573	−	0.0467768i	−0.345047	+	0.938585i	$0.612137\pi$
$270$	21.0620	+	19.0405i	1.28179	+	1.15877i
$271$	17.3517	+	10.0180i	1.05404	+	0.608552i	0.923778	−	0.382928i	$-0.125084\pi$
$271$	17.3517	+	10.0180i	1.05404	+	0.608552i	0.130264	+	0.991479i	$0.458417\pi$
$272$	1.38783	−	13.6708i	0.0841497	−	0.828914i
$273$	1.74746	+	1.12592i	0.105761	+	0.0681439i
$274$	−3.60173	+	8.10898i	−0.217589	+	0.489881i
$275$	−11.8512	+	3.17551i	−0.714653	+	0.191491i
$276$	−10.5977	+	30.8595i	−0.637906	+	1.85753i
$277$	−6.28301	+	23.4485i	−0.377510	+	1.40889i	0.472133	+	0.881527i	$0.343484\pi$
$277$	−6.28301	+	23.4485i	−0.377510	+	1.40889i	−0.849643	+	0.527358i	$0.823183\pi$
$278$	−5.67064	−	0.892985i	−0.340102	−	0.0535577i
$279$	0.641886	−	17.4219i	0.0384287	−	1.04302i
$280$	−8.16983	−	27.7355i	−0.488241	−	1.65751i
$281$	−13.1661			−0.785426			−0.392713	−	0.919661i	$-0.628463\pi$
$281$	−13.1661			−0.785426			−0.392713	+	0.919661i	$0.628463\pi$
$282$	−2.61549	−	3.73588i	−0.155750	−	0.222469i
$283$	7.58046	+	2.03118i	0.450612	+	0.120741i	0.476986	−	0.878911i	$-0.341729\pi$
$283$	7.58046	+	2.03118i	0.450612	+	0.120741i	−0.0263740	+	0.999652i	$0.508396\pi$
$284$	5.77639	−	17.8858i	0.342766	−	1.06133i
$285$	−24.9497	−	15.0239i	−1.47789	−	0.889940i
$286$	−0.321801	+	0.724507i	−0.0190285	+	0.0428410i
$287$	1.71449	+	0.515659i	0.101203	+	0.0304384i
$288$	−14.4144	−	8.95680i	−0.849378	−	0.527785i
$289$	2.59947	−	4.50242i	0.152910	−	0.264848i
$290$	−4.20493	−	39.6687i	−0.246922	−	2.32943i
$291$	−5.31404	+	2.93895i	−0.311514	+	0.172284i
$292$	−8.08075	+	1.73261i	−0.472890	+	0.101393i
$293$	−3.16111	−	3.16111i	−0.184674	−	0.184674i	0.608715	−	0.793389i	$-0.291685\pi$
$293$	−3.16111	−	3.16111i	−0.184674	−	0.184674i	−0.793389	+	0.608715i	$0.791685\pi$
$294$	−14.6171	+	8.96328i	−0.852487	+	0.522749i
$295$		−	1.04775i		−	0.0610023i
$296$	−14.9189	+	9.74498i	−0.867142	+	0.566415i
$297$	6.10110	+	2.00181i	0.354022	+	0.116157i
$298$	17.5835	−	21.7533i	1.01859	−	1.26013i
$299$	4.12713	−	1.10586i	0.238678	−	0.0639537i
$300$	−25.9390	+	22.5855i	−1.49759	+	1.30397i
$301$	9.68492	−	5.20619i	0.558229	−	0.300080i
$302$	−22.1551	−	9.84054i	−1.27488	−	0.566259i
$303$	18.8460	−	4.67961i	1.08267	−	0.268837i
$304$	16.2735	+	6.18063i	0.933347	+	0.354484i
$305$	13.2664	−	7.65937i	0.759633	−	0.438574i
$306$	8.13752	+	12.0913i	0.465191	+	0.691214i
$307$	19.5552	+	19.5552i	1.11607	+	1.11607i	0.992312	+	0.123759i	$0.0394951\pi$
$307$	19.5552	+	19.5552i	1.11607	+	1.11607i	0.123759	+	0.992312i	$0.460505\pi$
$308$	−4.23473	−	4.98245i	−0.241296	−	0.283901i
$309$	−15.7077	−	0.289266i	−0.893581	−	0.0164558i
$310$	31.3672	+	4.93956i	1.78154	+	0.280548i
$311$	12.6928	−	7.32817i	0.719740	−	0.415542i	−0.0949167	−	0.995485i	$-0.530258\pi$
$311$	12.6928	−	7.32817i	0.719740	−	0.415542i	0.814657	+	0.579943i	$0.196925\pi$
$312$	0.0813352	+	2.22081i	0.00460470	+	0.125729i
$313$	−13.6925	+	23.7162i	−0.773949	+	1.34052i	0.161435	+	0.986883i	$0.448388\pi$
$313$	−13.6925	+	23.7162i	−0.773949	+	1.34052i	−0.935383	+	0.353635i	$0.884946\pi$
$314$	−0.224355	+	0.0863501i	−0.0126611	+	0.00487302i
$315$	25.4696	+	17.0823i	1.43505	+	0.962478i
$316$	−13.4813	−	14.9191i	−0.758380	−	0.839267i
$317$	25.3344	−	6.78833i	1.42292	−	0.381271i	0.536402	−	0.843962i	$-0.319783\pi$
$317$	25.3344	−	6.78833i	1.42292	−	0.381271i	0.886519	+	0.462692i	$0.153116\pi$
$318$	−5.97691	+	7.12194i	−0.335168	+	0.399379i
$319$	−4.51074	−	7.81283i	−0.252553	−	0.437435i
$320$	19.3242	−	24.1248i	1.08026	−	1.34862i
$321$	7.49729	−	7.22615i	0.418458	−	0.403324i
$322$	−6.53657	+	34.6314i	−0.364269	+	1.92993i
$323$	−10.5712	−	10.5712i	−0.588198	−	0.588198i
$324$	17.8300	−	2.46828i	0.990554	−	0.137127i
$325$	4.35042	+	1.16569i	0.241318	+	0.0646609i
$326$	14.9726	−	18.5232i	0.829258	−	1.02591i
$327$	−4.19678	−	16.9015i	−0.232082	−	0.934653i
$328$	0.596292	+	1.81871i	0.0329247	+	0.100422i
$329$	−3.37576	−	3.58722i	−0.186112	−	0.197770i
$330$	−4.94345	+	10.5992i	−0.272128	+	0.583469i
$331$	3.66244	−	0.981347i	0.201306	−	0.0539397i	−0.156757	−	0.987637i	$-0.550104\pi$
$331$	3.66244	−	0.981347i	0.201306	−	0.0539397i	0.358063	+	0.933697i	$0.383437\pi$
$332$	−4.62129	−	9.03016i	−0.253627	−	0.495594i
$333$	5.56068	−	18.0640i	0.304723	−	0.989902i
$334$	−4.36907	+	3.18024i	−0.239065	+	0.174015i
$335$	−4.60247			−0.251460
$336$	−16.7983	−	7.33594i	−0.916424	−	0.400208i
$337$	7.56830			0.412272			0.206136	−	0.978523i	$-0.433911\pi$
$337$	7.56830			0.412272			0.206136	+	0.978523i	$0.433911\pi$
$338$	−14.6287	+	10.6482i	−0.795698	+	0.579187i
$339$	14.2479	−	7.87988i	0.773841	−	0.427976i
$340$	−23.6313	+	12.0936i	−1.28159	+	0.655868i
$341$	6.93652	−	1.85864i	0.375634	−	0.100651i
$342$	−17.4639	+	5.99311i	−0.944338	+	0.324071i
$343$	−14.2326	+	11.8504i	−0.768490	+	0.639862i
$344$	10.4877	+	5.30865i	0.565459	+	0.286223i
$345$	61.1766	−	15.1907i	3.29364	−	0.817838i
$346$	18.3173	−	22.6611i	0.984744	−	1.21827i
$347$	−15.5871	−	4.17654i	−0.836758	−	0.224209i	−0.185098	−	0.982720i	$-0.559260\pi$
$347$	−15.5871	−	4.17654i	−0.836758	−	0.224209i	−0.651660	+	0.758511i	$0.725927\pi$
$348$	−20.9775	−	14.1246i	−1.12451	−	0.757160i
$349$	22.3541	+	22.3541i	1.19659	+	1.19659i	0.975181	+	0.221409i	$0.0710654\pi$
$349$	22.3541	+	22.3541i	1.19659	+	1.19659i	0.221409	+	0.975181i	$0.428935\pi$
$350$	−24.2196	+	28.1691i	−1.29459	+	1.50570i
$351$	−1.57216	−	1.75621i	−0.0839158	−	0.0937395i
$352$	1.77929	−	6.76018i	0.0948363	−	0.360319i
$353$	−7.62084	−	13.1997i	−0.405616	−	0.702548i	0.588777	−	0.808296i	$-0.299610\pi$
$353$	−7.62084	−	13.1997i	−0.405616	−	0.702548i	−0.994393	+	0.105747i	$0.966276\pi$
$354$	−0.508803	−	0.427000i	−0.0270426	−	0.0226948i
$355$	−35.0733	+	9.39787i	−1.86150	+	0.498787i
$356$	14.4728	−	13.0780i	0.767058	−	0.693130i
$357$	10.5756	+	11.6610i	0.559720	+	0.617166i
$358$	−5.99443	+	2.30715i	−0.316815	+	0.121937i
$359$	−9.15961	+	15.8649i	−0.483426	+	0.837318i	−0.999819	−	0.0190335i	$-0.993941\pi$
$359$	−9.15961	+	15.8649i	−0.483426	+	0.837318i	0.516393	+	0.856352i	$0.327274\pi$
$360$	0.596467	+	32.7797i	0.0314366	+	1.72764i
$361$	−0.0527339	+	0.0304459i	−0.00277547	+	0.00160242i
$362$	−22.3095	−	3.51320i	−1.17256	−	0.184650i
$363$	0.302103	−	16.4048i	0.0158563	−	0.861030i
$364$	0.431752	+	2.36121i	0.0226300	+	0.123761i
$365$	11.2896	+	11.2896i	0.590922	+	0.590922i
$366$	1.68709	−	9.56389i	0.0881857	−	0.499912i
$367$	8.44821	−	4.87757i	0.440993	−	0.254607i	−0.263026	−	0.964789i	$-0.584720\pi$
$367$	8.44821	−	4.87757i	0.440993	−	0.254607i	0.704019	+	0.710181i	$0.251387\pi$
$368$	−34.3643	+	15.4463i	−1.79136	+	0.805195i
$369$	−1.71953	−	1.07908i	−0.0895152	−	0.0561746i
$370$	31.4615	+	13.9741i	1.63560	+	0.726480i
$371$	−5.28297	+	8.54069i	−0.274278	+	0.443410i
$372$	15.1821	−	13.2193i	0.787157	−	0.685391i
$373$	−8.21448	+	2.20106i	−0.425330	+	0.113967i	−0.465133	−	0.885241i	$-0.653994\pi$
$373$	−8.21448	+	2.20106i	−0.425330	+	0.113967i	0.0398034	+	0.999208i	$0.487327\pi$
$374$	−3.77398	+	4.66893i	−0.195148	+	0.241425i
$375$	31.6971	+	9.12193i	1.63683	+	0.471055i
$376$	1.08114	−	5.15376i	0.0557555	−	0.265785i
$377$			3.31167i			0.170560i
$378$	18.6753	−	5.40671i	0.960555	−	0.278091i
$379$	−23.7487	−	23.7487i	−1.21989	−	1.21989i	−0.967670	−	0.252219i	$-0.918840\pi$
$379$	−23.7487	−	23.7487i	−1.21989	−	1.21989i	−0.252219	−	0.967670i	$-0.581160\pi$
$380$	−7.05031	−	32.8821i	−0.361673	−	1.68682i
$381$	−16.4269	−	29.7022i	−0.841577	−	1.52169i
$382$	−1.70901	−	16.1226i	−0.0874407	−	0.824903i
$383$	13.1424	−	22.7634i	0.671547	−	1.16315i	−0.305919	−	0.952058i	$-0.598964\pi$
$383$	13.1424	−	22.7634i	0.671547	−	1.16315i	0.977465	−	0.211096i	$-0.0677031\pi$
$384$	−3.84000	−	19.2160i	−0.195959	−	0.980612i
$385$	−3.63840	+	12.0971i	−0.185430	+	0.616527i
$386$	−1.80754	+	4.06952i	−0.0920015	+	0.207133i
$387$	−12.1536	+	2.78131i	−0.617802	+	0.141382i
$388$	−6.67267	−	2.15500i	−0.338754	−	0.109404i
$389$	−4.82154	−	1.29193i	−0.244462	−	0.0655033i	0.134508	−	0.990913i	$-0.457055\pi$
$389$	−4.82154	−	1.29193i	−0.244462	−	0.0655033i	−0.378969	+	0.925409i	$0.623721\pi$
$390$	3.51698	−	2.46223i	0.178089	−	0.124680i
$391$	32.3569			1.63636
$392$	−19.0948	−	5.23325i	−0.964435	−	0.264319i
$393$	−3.32993	+	3.20951i	−0.167973	+	0.161898i
$394$	−31.5934	−	4.97518i	−1.59165	−	0.250646i
$395$	−10.0541	+	37.5223i	−0.505875	+	1.88795i
$396$	3.13250	+	6.72024i	0.157414	+	0.337705i
$397$	22.0566	−	5.91006i	1.10699	−	0.296617i	0.341383	−	0.939924i	$-0.389105\pi$
$397$	22.0566	−	5.91006i	1.10699	−	0.296617i	0.765608	+	0.643307i	$0.222438\pi$
$398$	0.479240	−	1.07897i	0.0240221	−	0.0540837i
$399$	−17.7367	+	9.11758i	−0.887946	+	0.456450i
$400$	−39.5115	−	4.01113i	−1.97557	−	0.200556i
$401$	5.73077	+	3.30866i	0.286181	+	0.165227i	0.636218	−	0.771509i	$-0.280498\pi$
$401$	5.73077	+	3.30866i	0.286181	+	0.165227i	−0.350037	+	0.936736i	$0.613831\pi$
$402$	−1.87569	+	2.23503i	−0.0935511	+	0.111473i
$403$	−2.54631	−	0.682282i	−0.126841	−	0.0339869i
$404$	18.8265	+	12.1787i	0.936655	+	0.605911i
$405$	−22.7127	−	26.3316i	−1.12860	−	1.30843i
$406$	−24.6160	−	11.8409i	−1.22167	−	0.587652i
$407$	7.78539			0.385908
$408$	−3.75787	+	16.4044i	−0.186042	+	0.812138i
$409$	−9.37039	−	16.2300i	−0.463336	−	0.802521i	0.535789	−	0.844352i	$-0.320014\pi$
$409$	−9.37039	−	16.2300i	−0.463336	−	0.802521i	−0.999125	+	0.0418309i	$0.986681\pi$
$410$	2.32440	−	2.87561i	0.114794	−	0.142016i
$411$	5.60587	−	9.30947i	0.276517	−	0.459202i
$412$	−12.1625	−	13.4597i	−0.599201	−	0.663111i
$413$	−0.610160	−	0.377424i	−0.0300240	−	0.0185718i
$414$	17.5551	−	35.8992i	0.862788	−	1.76435i
$415$	−9.79847	+	16.9714i	−0.480988	+	0.833095i
$416$	−1.80644	+	1.82253i	−0.0885679	+	0.0893571i
$417$	6.75645	+	1.94440i	0.330865	+	0.0952179i
$418$	−4.47581	−	6.14894i	−0.218919	−	0.300755i
$419$	9.64860	−	9.64860i	0.471365	−	0.471365i	−0.430991	−	0.902356i	$-0.641836\pi$
$419$	9.64860	−	9.64860i	0.471365	−	0.471365i	0.902356	+	0.430991i	$0.141836\pi$
$420$	5.72707	+	34.9458i	0.279452	+	1.70518i
$421$	11.0156	+	11.0156i	0.536866	+	0.536866i	0.922607	−	0.385741i	$-0.126054\pi$
$421$	11.0156	+	11.0156i	0.536866	+	0.536866i	−0.385741	+	0.922607i	$0.626054\pi$
$422$	5.21050	+	0.820524i	0.253643	+	0.0399425i
$423$	2.61270	+	4.93662i	0.127034	+	0.240027i
$424$	−10.7197	+	0.590406i	−0.520595	+	0.0286727i
$425$	29.5380	+	17.0537i	1.43280	+	0.827228i
$426$	−9.73005	+	20.8622i	−0.471422	+	1.01078i
$427$	0.318415	−	10.4848i	0.0154092	−	0.507397i
$428$	12.0083	+	0.607967i	0.580443	+	0.0293872i
$429$	0.500863	−	0.831766i	0.0241819	−	0.0401581i
$430$	−2.39374	−	22.5822i	−0.115436	−	1.08901i
$431$	0.928892	−	0.536296i	0.0447431	−	0.0258325i	−0.477462	−	0.878653i	$-0.658443\pi$
$431$	0.928892	−	0.536296i	0.0447431	−	0.0258325i	0.522205	+	0.852820i	$0.325110\pi$
$432$	16.1614	+	13.0694i	0.777566	+	0.628801i
$433$			22.4192i			1.07740i	0.842498	+	0.538699i	$0.181084\pi$
$433$			22.4192i			1.07740i	−0.842498	+	0.538699i	$0.818916\pi$
$434$	14.1758	−	16.4875i	0.680460	−	0.791424i
$435$	−0.899561	+	48.8480i	−0.0431306	+	2.34208i
$436$	10.9221	−	16.8841i	0.523074	−	0.808600i
$437$	−10.6092	+	39.5941i	−0.507507	+	1.89404i
$438$	10.0833	−	0.881436i	0.481801	−	0.0421166i
$439$	15.0224	−	26.0196i	0.716982	−	1.24185i	−0.245209	−	0.969470i	$-0.578856\pi$
$439$	15.0224	−	26.0196i	0.716982	−	1.24185i	0.962190	−	0.272378i	$-0.0878102\pi$
$440$	−12.8325	+	4.20733i	−0.611767	+	0.200577i
$441$	19.1227	−	8.67887i	0.910604	−	0.413279i
$442$	2.05673	−	0.791598i	0.0978286	−	0.0376525i
$443$	3.06199	+	11.4275i	0.145479	+	0.542937i	0.999734	+	0.0230811i	$0.00734760\pi$
$443$	3.06199	+	11.4275i	0.145479	+	0.542937i	−0.854254	+	0.519856i	$0.825986\pi$
$444$	19.6079	−	9.58317i	0.930549	−	0.454797i
$445$	−36.3998	−	9.75329i	−1.72551	−	0.462350i
$446$	−19.2460	+	14.0091i	−0.911324	+	0.663352i
$447$	−24.6656	+	23.7736i	−1.16664	+	1.12445i
$448$	−7.08815	−	19.9439i	−0.334884	−	0.942259i
$449$			1.55191i			0.0732391i	0.999329	+	0.0366196i	$0.0116590\pi$
$449$			1.55191i			0.0732391i	−0.999329	+	0.0366196i	$0.988341\pi$
$450$	34.9464	−	23.5191i	1.64739	−	1.10870i
$451$	0.216429	−	0.807723i	0.0101912	−	0.0380342i
$452$	17.8907	+	5.77796i	0.841506	+	0.271772i
$453$	25.4350	+	15.3162i	1.19504	+	0.719616i
$454$	−5.55424	−	14.4310i	−0.260674	−	0.677281i
$455$	3.37703	−	3.17796i	0.158317	−	0.148985i
$456$	−18.8414	−	9.97706i	−0.882328	−	0.467218i
$457$	2.79705	+	1.61488i	0.130841	+	0.0755408i	0.563992	−	0.825781i	$-0.309265\pi$
$457$	2.79705	+	1.61488i	0.130841	+	0.0755408i	−0.433151	+	0.901321i	$0.642598\pi$
$458$	−6.98600	+	8.64266i	−0.326434	+	0.403845i
$459$	−8.05796	−	15.9279i	−0.376113	−	0.743450i
$460$	61.1136	+	39.5337i	2.84944	+	1.84327i
$461$	10.2782	−	10.2782i	0.478702	−	0.478702i	−0.426014	−	0.904716i	$-0.640083\pi$
$461$	10.2782	−	10.2782i	0.478702	−	0.478702i	0.904716	+	0.426014i	$0.140083\pi$
$462$	4.39176	+	6.69694i	0.204323	+	0.311570i
$463$	32.8974			1.52887			0.764437	−	0.644699i	$-0.223017\pi$
$463$	32.8974			1.52887			0.764437	+	0.644699i	$0.223017\pi$
$464$	−4.67048	−	28.8259i	−0.216822	−	1.33821i
$465$	−37.3734	−	10.7555i	−1.73315	−	0.498774i
$466$	5.16730	−	0.547740i	0.239370	−	0.0253735i
$467$	3.05323	+	11.3948i	0.141287	+	0.527290i	0.999893	+	0.0146532i	$0.00466443\pi$
$467$	3.05323	+	11.3948i	0.141287	+	0.527290i	−0.858606	+	0.512636i	$0.828669\pi$
$468$	0.237613	−	2.71136i	0.0109837	−	0.125333i
$469$	−1.65792	+	2.68027i	−0.0765556	+	0.123763i
$470$	−9.49423	+	3.65416i	−0.437936	+	0.168554i
$471$	0.285749	−	0.0709539i	0.0131666	−	0.00326938i
$472$	−0.0421796	−	0.765833i	−0.00194147	−	0.0352503i
$473$	−2.56783	−	4.44761i	−0.118069	−	0.204501i
$474$	14.1240	+	20.1743i	0.648736	+	0.926635i
$475$	−30.5530	+	30.5530i	−1.40187	+	1.40187i
$476$	−1.46980	+	18.1182i	−0.0673681	+	0.830446i
$477$	8.34297	−	7.75004i	0.381998	−	0.354850i
$478$	−12.4725	+	9.07874i	−0.570480	+	0.415252i
$479$	−4.43589	−	7.68320i	−0.202681	−	0.351054i	0.746710	−	0.665149i	$-0.231632\pi$
$479$	−4.43589	−	7.68320i	−0.202681	−	0.351054i	−0.949391	+	0.314095i	$0.898299\pi$
$480$	−27.1405	+	26.3921i	−1.23879	+	1.20463i
$481$	−2.47503	−	1.42896i	−0.112852	−	0.0651550i
$482$	0.721611	+	0.320515i	0.0328685	+	0.0145991i
$483$	13.1909	−	41.0985i	0.600208	−	1.87005i
$484$	14.0570	−	12.7022i	0.638955	−	0.577374i
$485$	3.50607	+	13.0848i	0.159202	+	0.594151i
$486$	−22.0434	+	0.298478i	−0.999908	+	0.0135393i
$487$	−20.7969	+	12.0071i	−0.942396	+	0.544093i	−0.890711	−	0.454571i	$-0.849793\pi$
$487$	−20.7969	+	12.0071i	−0.942396	+	0.544093i	−0.0516857	+	0.998663i	$0.516459\pi$
$488$	9.38851	−	6.13255i	0.424998	−	0.277608i
$489$	−21.0032	+	20.2436i	−0.949796	+	0.915446i
$490$	11.5475	+	36.4645i	0.521664	+	1.64730i
$491$	−0.474583	+	0.474583i	−0.0214176	+	0.0214176i	−0.717734	−	0.696317i	$-0.754821\pi$
$491$	−0.474583	+	0.474583i	−0.0214176	+	0.0214176i	0.696317	+	0.717734i	$0.254821\pi$
$492$	−0.449153	−	2.30069i	−0.0202494	−	0.103723i
$493$	−6.49092	+	24.2244i	−0.292336	+	1.09101i
$494$	0.294291	+	2.77630i	0.0132408	+	0.124912i
$495$	7.61379	−	12.1327i	0.342214	−	0.545325i
$496$	23.1262	+	2.34772i	1.03840	+	0.105416i
$497$	−7.16136	+	23.8104i	−0.321231	+	1.06804i
$498$	4.24833	+	11.6748i	0.190372	+	0.523162i
$499$	−4.95676	−	18.4989i	−0.221895	−	0.828123i	−0.983625	−	0.180228i	$-0.942316\pi$
$499$	−4.95676	−	18.4989i	−0.221895	−	0.828123i	0.761730	−	0.647895i	$-0.224350\pi$
$500$	17.3509	+	33.9042i	0.775956	+	1.51624i
$501$	5.79171	−	3.20313i	0.258755	−	0.143105i
$502$	4.62252	−	29.3540i	0.206313	−	1.31013i
$503$			28.7245i			1.28076i	0.768058	+	0.640380i	$0.221223\pi$
$503$			28.7245i			1.28076i	−0.768058	+	0.640380i	$0.778777\pi$
$504$	19.3042	+	11.4607i	0.859879	+	0.510498i
$505$		−	43.3171i		−	1.92759i
$506$	16.2604	+	2.56061i	0.722862	+	0.113833i
$507$	19.3921	−	10.7249i	0.861233	−	0.476309i
$508$	12.0451	−	37.2961i	0.534416	−	1.65475i
$509$	0.311014	+	1.16072i	0.0137854	+	0.0514480i	0.972476	−	0.233003i	$-0.0748553\pi$
$509$	0.311014	+	1.16072i	0.0137854	+	0.0514480i	−0.958691	+	0.284451i	$0.908189\pi$
$510$	30.5523	−	11.1176i	1.35288	−	0.492295i
$511$	10.6413	−	2.50775i	0.470743	−	0.110936i
$512$	13.1535	−	18.4116i	0.581308	−	0.813684i
$513$	22.1325	−	4.63781i	0.977173	−	0.204764i
$514$	25.1516	−	2.66610i	1.10939	−	0.117596i
$515$	−9.07053	+	33.8517i	−0.399695	+	1.49168i
$516$	−11.9418	−	8.04073i	−0.525710	−	0.353973i
$517$	−1.62684	+	1.62684i	−0.0715482	+	0.0715482i
$518$	19.4711	−	13.2879i	0.855509	−	0.583837i
$519$	−25.6950	+	24.7657i	−1.12788	+	1.08709i
$520$	4.85178	+	1.01779i	0.212765	+	0.0446331i
$521$	30.0164	−	17.3300i	1.31504	−	0.759240i	0.332116	−	0.943238i	$-0.392237\pi$
$521$	30.0164	−	17.3300i	1.31504	−	0.759240i	0.982927	+	0.183998i	$0.0589040\pi$
$522$	23.3548	+	20.3444i	1.02221	+	0.890449i
$523$	−4.80331	−	17.9262i	−0.210034	−	0.783858i	−0.987856	−	0.155373i	$-0.950342\pi$
$523$	−4.80331	−	17.9262i	−0.210034	−	0.783858i	0.777822	−	0.628485i	$-0.216325\pi$
$524$	−5.33350	−	0.270029i	−0.232995	−	0.0117963i
$525$	33.7027	−	30.5657i	1.47091	−	1.33399i
$526$	2.55671	−	5.75619i	0.111478	−	0.250982i
$527$	−17.2886	−	9.98161i	−0.753105	−	0.434806i
$528$	−3.18663	+	7.94634i	−0.138680	+	0.345820i
$529$	−32.8592	−	56.9139i	−1.42866	−	2.47452i
$530$	12.2059	+	16.7687i	0.530190	+	0.728384i
$531$	0.553676	+	0.596035i	0.0240275	+	0.0258657i
$532$	−21.6887	−	7.73915i	−0.940325	−	0.335535i
$533$	−0.217057	+	0.217057i	−0.00940177	+	0.00940177i
$534$	−19.5707	+	13.7014i	−0.846909	+	0.592920i
$535$	−11.6141	−	20.1163i	−0.502123	−	0.869703i
$536$	−3.36410	+	0.185283i	−0.145307	+	0.00800302i
$537$	7.63480	−	1.89578i	0.329466	−	0.0818091i
$538$	1.50576	+	3.91227i	0.0649180	+	0.168670i
$539$	5.73417	+	6.47651i	0.246988	+	0.278963i
$540$	4.24134	−	39.9287i	0.182518	−	1.71826i
$541$	−6.26649	−	23.3868i	−0.269417	−	1.00548i	−0.959491	−	0.281740i	$-0.909089\pi$
$541$	−6.26649	−	23.3868i	−0.269417	−	1.00548i	0.690074	−	0.723739i	$-0.257578\pi$
$542$	−2.98684	−	28.1774i	−0.128296	−	1.21032i
$543$	26.5814	+	7.64971i	1.14072	+	0.328281i
$544$	−16.7860	+	9.79095i	−0.719695	+	0.419783i
$545$	−38.8478			−1.66406
$546$	−0.166991	−	2.93508i	−0.00714657	−	0.125610i
$547$	−11.3646	+	11.3646i	−0.485915	+	0.485915i	−0.907015	−	0.421099i	$-0.861644\pi$
$547$	−11.3646	+	11.3646i	−0.485915	+	0.485915i	0.421099	+	0.907015i	$0.361644\pi$
$548$	12.2693	−	2.63068i	0.524118	−	0.112377i
$549$	−3.49935	+	11.3678i	−0.149349	+	0.485164i
$550$	13.4942	+	10.9076i	0.575394	+	0.465101i
$551$	−27.5144	−	15.8854i	−1.17215	−	0.676743i
$552$	44.1044	−	13.5662i	1.87721	−	0.577414i
$553$	18.2295	+	19.3714i	0.775199	+	0.823757i
$554$	32.0398	−	12.3316i	1.36124	−	0.523918i
$555$	−36.1192	−	21.7498i	−1.53317	−	0.923228i
$556$	3.69847	+	7.22693i	0.156850	+	0.306490i
$557$	−5.60243	+	20.9085i	−0.237383	+	0.885924i	0.739678	+	0.672961i	$0.234978\pi$
$557$	−5.60243	+	20.9085i	−0.237383	+	0.885924i	−0.977060	+	0.212963i	$0.931689\pi$
$558$	−20.4542	+	13.7658i	−0.865896	+	0.582753i
$559$			1.88524i			0.0797370i
$560$	−24.9128	+	32.4246i	−1.05276	+	1.37019i
$561$	5.29402	−	5.10256i	0.223514	−	0.215430i
$562$	10.9578	+	15.0540i	0.462225	+	0.635013i
$563$	27.4116	+	7.34492i	1.15526	+	0.309551i	0.785072	−	0.619405i	$-0.212626\pi$
$563$	27.4116	+	7.34492i	1.15526	+	0.309551i	0.370190	+	0.928956i	$0.379293\pi$
$564$	−2.09477	+	6.09977i	−0.0882056	+	0.256847i
$565$	−9.40041	−	35.0828i	−0.395478	−	1.47595i
$566$	−3.98656	−	10.3579i	−0.167568	−	0.435374i
$567$	−23.5160	+	3.74159i	−0.987578	+	0.157132i
$568$	−25.2579	+	8.28117i	−1.05980	+	0.347470i
$569$	−3.75159	+	6.49795i	−0.157275	+	0.272408i	−0.933885	−	0.357573i	$-0.883604\pi$
$569$	−3.75159	+	6.49795i	−0.157275	+	0.272408i	0.776610	+	0.629982i	$0.216938\pi$
$570$	3.58673	+	41.0310i	0.150232	+	1.71860i
$571$	−7.22267	+	26.9554i	−0.302259	+	1.12805i	0.633020	+	0.774136i	$0.281815\pi$
$571$	−7.22267	+	26.9554i	−0.302259	+	1.12805i	−0.935279	+	0.353911i	$0.884851\pi$
$572$	1.09622	−	0.235041i	0.0458351	−	0.00982757i
$573$	−0.365609	+	19.8533i	−0.0152735	+	0.829384i
$574$	−0.837318	−	2.38949i	−0.0349490	−	0.0997353i
$575$		−	93.5183i		−	3.89998i
$576$	1.75560	+	23.9357i	0.0731500	+	0.997321i
$577$	−30.1411	+	17.4020i	−1.25479	+	0.724454i	−0.972057	−	0.234744i	$-0.924575\pi$
$577$	−30.1411	+	17.4020i	−1.25479	+	0.724454i	−0.282734	+	0.959198i	$0.591242\pi$
$578$	−7.31146	+	0.775024i	−0.304117	+	0.0322367i
$579$	2.81332	−	4.67199i	0.116918	−	0.194161i
$580$	−41.8570	+	37.8229i	−1.73802	+	1.57051i
$581$	6.35375	+	11.8197i	0.263598	+	0.490364i
$582$	7.78306	+	3.62999i	0.322618	+	0.150468i
$583$	4.06214	+	2.34527i	0.168236	+	0.0971314i
$584$	8.70639	+	7.79742i	0.360273	+	0.322659i
$585$	−4.64736	+	2.45961i	−0.192145	+	0.101692i
$586$	−0.983473	+	6.24525i	−0.0406269	+	0.257989i
$587$	7.83691	+	7.83691i	0.323464	+	0.323464i	0.850094	−	0.526631i	$-0.176545\pi$
$587$	7.83691	+	7.83691i	0.323464	+	0.323464i	−0.526631	+	0.850094i	$0.676545\pi$
$588$	22.4138	+	9.25311i	0.924331	+	0.381592i
$589$	17.8828	−	17.8828i	0.736847	−	0.736847i
$590$	−1.19798	+	0.872008i	−0.0493200	+	0.0359000i
$591$	37.6429	+	10.8330i	1.54842	+	0.445612i
$592$	23.5588	+	8.94758i	0.968259	+	0.367743i
$593$	20.0462	−	34.7210i	0.823199	−	1.42582i	−0.0800892	−	0.996788i	$-0.525521\pi$
$593$	20.0462	−	34.7210i	0.823199	−	1.42582i	0.903288	−	0.429035i	$-0.141146\pi$
$594$	−2.78891	−	8.64195i	−0.114430	−	0.354583i
$595$	30.9313	−	16.6273i	1.26806	−	0.681654i
$596$	−39.5066	−	2.00018i	−1.61825	−	0.0819304i
$597$	−0.745907	+	1.23870i	−0.0305279	+	0.0506967i
$598$	−4.69931	−	3.79853i	−0.192169	−	0.155333i
$599$	−8.71721	−	15.0987i	−0.356176	−	0.616914i	0.631143	−	0.775667i	$-0.282586\pi$
$599$	−8.71721	−	15.0987i	−0.356176	−	0.616914i	−0.987318	+	0.158752i	$0.949253\pi$
$600$	47.4121	+	10.8610i	1.93559	+	0.443399i
$601$	1.22753			0.0500718			0.0250359	−	0.999687i	$-0.492030\pi$
$601$	1.22753			0.0500718			0.0250359	+	0.999687i	$0.492030\pi$
$602$	−14.0131	−	6.74065i	−0.571132	−	0.274728i
$603$	2.61822	−	2.43215i	0.106622	−	0.0990446i
$604$	7.18745	+	33.5218i	0.292453	+	1.36398i
$605$	−35.3540	−	9.47308i	−1.43734	−	0.385135i
$606$	−21.0355	−	17.6535i	−0.854508	−	0.717124i
$607$	20.8843	+	12.0575i	0.847666	+	0.489400i	0.859863	−	0.510525i	$-0.170549\pi$
$607$	20.8843	+	12.0575i	0.847666	+	0.489400i	−0.0121965	+	0.999926i	$0.503882\pi$
$608$	−6.47704	−	23.7508i	−0.262679	−	0.963221i
$609$	28.1228	+	18.1201i	1.13959	+	0.734263i
$610$	−19.7988	−	8.79397i	−0.801631	−	0.356057i
$611$	0.815779	−	0.218587i	0.0330029	−	0.00884310i
$612$	7.05241	−	19.3675i	0.285077	−	0.782886i
$613$	11.3105	−	42.2113i	0.456826	−	1.70490i	−0.225836	−	0.974165i	$-0.572511\pi$
$613$	11.3105	−	42.2113i	0.456826	−	1.70490i	0.682662	−	0.730734i	$-0.260822\pi$
$614$	6.08393	−	38.6342i	0.245527	−	1.55915i
$615$	−3.26060	+	3.14268i	−0.131480	+	0.126725i
$616$	−2.17243	+	8.98866i	−0.0875296	+	0.362163i
$617$	−11.2728			−0.453827			−0.226913	−	0.973915i	$-0.572863\pi$
$617$	−11.2728			−0.453827			−0.226913	+	0.973915i	$0.572863\pi$
$618$	12.7423	+	18.2007i	0.512571	+	0.732140i
$619$	−12.3223	−	3.30175i	−0.495274	−	0.132708i	0.00253166	−	0.999997i	$-0.499194\pi$
$619$	−12.3223	−	3.30175i	−0.495274	−	0.132708i	−0.497806	+	0.867288i	$0.665861\pi$
$620$	−20.4581	−	39.9758i	−0.821618	−	1.60547i
$621$	−26.7743	+	40.9699i	−1.07442	+	1.64407i
$622$	−18.9427	−	8.41371i	−0.759533	−	0.337359i
$623$	−18.7919	+	17.6842i	−0.752883	+	0.708502i
$624$	2.47155	−	1.94131i	0.0989413	−	0.0777147i
$625$	11.9673	−	20.7280i	0.478692	−	0.829119i
$626$	38.5126	−	4.08238i	1.53927	−	0.163165i
$627$	4.50803	+	8.15115i	0.180033	+	0.325525i
$628$	0.285455	+	0.184657i	0.0113909	+	0.00736863i
$629$	−15.3037	−	15.3037i	−0.610200	−	0.610200i
$630$	−1.66590	−	43.3386i	−0.0663710	−	1.72665i
$631$		−	4.67295i		−	0.186027i	−0.995665	−	0.0930136i	$-0.970350\pi$
$631$		−	4.67295i		−	0.186027i	0.995665	−	0.0930136i	$-0.0296500\pi$
$632$	−5.83829	+	27.8310i	−0.232235	+	1.10706i
$633$	−6.20820	−	1.78663i	−0.246754	−	0.0710120i
$634$	−28.8467	−	23.3173i	−1.14565	−	0.926047i
$635$	−73.1360	+	19.5967i	−2.90231	+	0.777673i
$636$	13.1175	+	0.906537i	0.520143	+	0.0359465i
$637$	−0.634211	−	3.11140i	−0.0251284	−	0.123278i
$638$	−5.17893	+	11.6599i	−0.205036	+	0.461619i
$639$	14.9860	−	23.8805i	0.592837	−	0.944696i
$640$	−43.6669	−	2.01667i	−1.72609	−	0.0797160i
$641$	24.8726	−	14.3602i	0.982410	−	0.567195i	0.0794130	−	0.996842i	$-0.474695\pi$
$641$	24.8726	−	14.3602i	0.982410	−	0.567195i	0.902997	+	0.429647i	$0.141362\pi$
$642$	−14.5020	−	2.55819i	−0.572349	−	0.100964i
$643$	−16.7294	−	16.7294i	−0.659745	−	0.659745i	0.295575	−	0.955320i	$-0.404489\pi$
$643$	−16.7294	−	16.7294i	−0.659745	−	0.659745i	−0.955320	+	0.295575i	$0.904489\pi$
$644$	45.0372	−	21.3488i	1.77471	−	0.841260i
$645$	−0.512093	+	27.8077i	−0.0201636	+	1.09493i
$646$	−3.28888	+	20.8851i	−0.129399	+	0.821712i
$647$	34.3076	−	19.8075i	1.34877	−	0.778712i	0.360694	−	0.932684i	$-0.382540\pi$
$647$	34.3076	−	19.8075i	1.34877	−	0.778712i	0.988075	+	0.153972i	$0.0492066\pi$
$648$	−17.6615	−	18.3322i	−0.693810	−	0.720159i
$649$	−0.167550	+	0.290205i	−0.00657692	+	0.0113916i
$650$	−2.28788	−	5.94437i	−0.0897381	−	0.233157i
$651$	−19.7263	+	17.8902i	−0.773134	+	0.701171i
$652$	−33.6404	−	1.70318i	−1.31746	−	0.0667016i
$653$	−42.5411	+	11.3989i	−1.66476	+	0.446072i	−0.963691	−	0.267019i	$-0.913961\pi$
$653$	−42.5411	+	11.3989i	−1.66476	+	0.446072i	−0.701072	+	0.713091i	$0.747295\pi$
$654$	−15.8320	+	18.8651i	−0.619082	+	0.737684i
$655$	5.15844	+	8.93468i	0.201557	+	0.349107i
$656$	1.58322	−	2.19545i	0.0618142	−	0.0857179i
$657$	−12.3882	−	0.456425i	−0.483310	−	0.0178068i
$658$	−1.29203	+	6.84532i	−0.0503687	+	0.266858i
$659$	6.88689	+	6.88689i	0.268275	+	0.268275i	0.828405	−	0.560130i	$-0.189249\pi$
$659$	6.88689	+	6.88689i	0.268275	+	0.268275i	−0.560130	+	0.828405i	$0.689249\pi$
$660$	16.2333	−	3.16915i	0.631880	−	0.123359i
$661$	7.79885	+	2.08969i	0.303340	+	0.0812797i	0.407278	−	0.913304i	$-0.366478\pi$
$661$	7.79885	+	2.08969i	0.303340	+	0.0812797i	−0.103939	+	0.994584i	$0.533145\pi$
$662$	−4.17019	−	3.37083i	−0.162079	−	0.131011i
$663$	−2.61955	+	0.650456i	−0.101735	+	0.0252616i
$664$	−6.47879	+	12.7994i	−0.251426	+	0.496714i
$665$	10.2045	+	43.3014i	0.395714	+	1.67916i
$666$	−25.2821	+	8.67611i	−0.979661	+	0.336193i
$667$	66.4203	−	17.7973i	2.57180	−	0.689112i
$668$	7.27247	+	2.34871i	0.281380	+	0.0908745i
$669$	25.5128	−	14.1100i	0.986383	−	0.545524i
$670$	3.83049	+	5.26240i	0.147985	+	0.203304i
$671$	−4.89938			−0.189138
$672$	5.59292	+	25.3124i	0.215752	+	0.976448i
$673$	3.62883			0.139881			0.0699406	−	0.997551i	$-0.477719\pi$
$673$	3.62883			0.139881			0.0699406	+	0.997551i	$0.477719\pi$
$674$	−6.29886	−	8.65349i	−0.242623	−	0.333320i
$675$	−46.0349	+	23.2892i	−1.77188	+	0.896401i
$676$	24.3500	+	7.86408i	0.936540	+	0.302464i
$677$	−30.1549	+	8.07997i	−1.15895	+	0.310538i	−0.786545	−	0.617534i	$-0.788132\pi$
$677$	−30.1549	+	8.07997i	−1.15895	+	0.310538i	−0.372401	+	0.928072i	$0.621465\pi$
$678$	−20.8678	−	9.73268i	−0.801424	−	0.373781i
$679$	8.88297	+	2.67169i	0.340897	+	0.102530i
$680$	33.4952	+	16.9546i	1.28448	+	0.650177i
$681$	4.56392	+	18.3801i	0.174890	+	0.704325i
$682$	−7.89819	−	6.38423i	−0.302437	−	0.244465i
$683$	6.11494	+	1.63849i	0.233982	+	0.0626952i	0.373905	−	0.927467i	$-0.378019\pi$
$683$	6.11494	+	1.63849i	0.233982	+	0.0626952i	−0.139923	+	0.990162i	$0.544685\pi$
$684$	21.3871	+	14.9800i	0.817755	+	0.572776i
$685$	−17.1413	−	17.1413i	−0.654937	−	0.654937i
$686$	25.3950	+	6.41065i	0.969584	+	0.244760i
$687$	9.79975	−	9.44534i	0.373884	−	0.360362i
$688$	−2.65876	−	16.4097i	−0.101364	−	0.625614i
$689$	−0.860921	−	1.49116i	−0.0327985	−	0.0568086i
$690$	−68.2842	−	57.3057i	−2.59953	−	2.18159i
$691$	−26.1340	+	7.00259i	−0.994185	+	0.266391i	−0.719007	−	0.695002i	$-0.755403\pi$
$691$	−26.1340	+	7.00259i	−0.994185	+	0.266391i	−0.275177	+	0.961393i	$0.588737\pi$
$692$	−41.1552	−	2.08364i	−1.56449	−	0.0792083i
$693$	−4.32286	−	8.80441i	−0.164212	−	0.334452i
$694$	8.19723	+	21.2980i	0.311163	+	0.808462i
$695$	7.84181	−	13.5824i	0.297457	−	0.515210i
$696$	1.30897	+	35.7408i	0.0496165	+	1.35475i
$697$	−2.01317	+	1.16231i	−0.0762544	+	0.0440255i
$698$	6.95474	−	44.1640i	0.263241	−	1.67163i
$699$	−6.36300	−	0.117178i	−0.240671	−	0.00443207i
$700$	52.3654	+	4.24802i	1.97922	+	0.160560i
$701$	4.90598	+	4.90598i	0.185296	+	0.185296i	0.793659	−	0.608363i	$-0.208173\pi$
$701$	4.90598	+	4.90598i	0.185296	+	0.185296i	−0.608363	+	0.793659i	$0.708173\pi$
$702$	−0.699563	+	3.25922i	−0.0264033	+	0.123011i
$703$	23.7445	−	13.7089i	0.895540	−	0.517041i
$704$	−9.21034	+	3.59188i	−0.347128	+	0.135374i
$705$	12.0923	−	3.00262i	0.455423	−	0.113085i
$706$	−8.74974	+	19.6992i	−0.329301	+	0.741391i
$707$	−25.2259	−	15.6039i	−0.948718	−	0.586844i
$708$	−0.0647644	+	0.937136i	−0.00243400	+	0.0352197i
$709$	−8.34621	+	2.23636i	−0.313449	+	0.0839883i	−0.412114	−	0.911132i	$-0.635209\pi$
$709$	−8.34621	+	2.23636i	−0.313449	+	0.0839883i	0.0986652	+	0.995121i	$0.468543\pi$
$710$	39.9358	+	32.2808i	1.49876	+	1.21148i
$711$	−14.1089	−	26.6584i	−0.529126	−	0.999768i
$712$	−26.9984	−	5.66364i	−1.01181	−	0.212254i
$713$			54.7365i			2.04990i
$714$	4.53128	−	21.7971i	0.169579	−	0.815734i
$715$	−1.53151	−	1.53151i	−0.0572754	−	0.0572754i
$716$	7.62693	+	4.93377i	0.285032	+	0.184384i
$717$	16.5338	−	9.14410i	0.617466	−	0.341493i
$718$	25.7630	−	2.73091i	0.961465	−	0.101916i
$719$	−16.1227	+	27.9253i	−0.601274	+	1.04144i	0.391355	+	0.920240i	$0.372007\pi$
$719$	−16.1227	+	27.9253i	−0.601274	+	1.04144i	−0.992629	+	0.121197i	$0.961327\pi$
$720$	36.9833	−	27.9635i	1.37829	−	1.04214i
$721$	16.4462	+	17.4764i	0.612490	+	0.650857i
$722$	0.0787002	+	0.0349560i	0.00292892	+	0.00130093i
$723$	−0.828442	−	0.498861i	−0.0308101	−	0.0185529i
$724$	14.5506	+	28.4323i	0.540768	+	1.05668i
$725$	70.0137	+	18.7601i	2.60024	+	0.696733i
$726$	−19.0085	+	13.3078i	−0.705470	+	0.493899i
$727$	−45.2555			−1.67844			−0.839218	−	0.543796i	$-0.816987\pi$
$727$	−45.2555			−1.67844			−0.839218	+	0.543796i	$0.816987\pi$
$728$	2.34044	−	2.45882i	0.0867426	−	0.0911300i
$729$	26.8354	+	2.97691i	0.993903	+	0.110256i
$730$	3.51237	−	22.3043i	0.129999	−	0.825517i
$731$	−3.69508	+	13.7902i	−0.136668	+	0.510051i
$732$	−12.3393	+	6.03073i	−0.456074	+	0.222902i
$733$	48.0098	−	12.8642i	1.77328	−	0.475149i	0.783948	−	0.620826i	$-0.213203\pi$
$733$	48.0098	−	12.8642i	1.77328	−	0.475149i	0.989332	+	0.145677i	$0.0465360\pi$
$734$	−12.6081	−	5.60010i	−0.465374	−	0.206703i
$735$	−8.50961	−	46.0662i	−0.313882	−	1.69918i
$736$	46.2614	+	26.4362i	1.70522	+	0.974450i
$737$	1.27479	+	0.736002i	0.0469576	+	0.0271110i
$738$	0.197309	+	2.86417i	0.00726303	+	0.105432i
$739$	14.3276	+	3.83906i	0.527048	+	0.141222i	0.512525	−	0.858673i	$-0.328710\pi$
$739$	14.3276	+	3.83906i	0.527048	+	0.141222i	0.0145230	+	0.999895i	$0.495377\pi$
$740$	−10.2066	−	47.6028i	−0.375202	−	1.74991i
$741$	0.0629576	−	3.41873i	0.00231281	−	0.125590i
$742$	14.1621	−	1.06768i	0.519909	−	0.0391956i
$743$	14.1907			0.520605			0.260303	−	0.965527i	$-0.416178\pi$
$743$	14.1907			0.520605			0.260303	+	0.965527i	$0.416178\pi$
$744$	−27.7504	−	6.35699i	−1.01738	−	0.233058i
$745$	38.2099	+	66.1814i	1.39990	+	2.42470i
$746$	9.35331	+	7.56044i	0.342449	+	0.276807i
$747$	−3.39437	−	14.8325i	−0.124193	−	0.542693i
$748$	8.47935	+	0.429300i	0.310036	+	0.0156968i
$749$	−15.8985	−	0.482823i	−0.580918	−	0.0176420i
$750$	−15.9506	−	43.8338i	−0.582433	−	1.60059i
$751$	−27.0385	+	46.8320i	−0.986647	+	1.70892i	−0.352273	+	0.935897i	$0.614591\pi$
$751$	−27.0385	+	46.8320i	−0.986647	+	1.70892i	−0.634375	+	0.773026i	$0.718742\pi$
$752$	−6.79253	+	3.05316i	−0.247698	+	0.111337i
$753$	−10.0652	+	34.9747i	−0.366795	+	1.27455i
$754$	3.78652	−	2.75620i	0.137897	−	0.100375i
$755$	46.8330	−	46.8330i	1.70443	−	1.70443i
$756$	−21.7248	−	16.8532i	−0.790124	−	0.612947i
$757$	−8.32110	−	8.32110i	−0.302435	−	0.302435i	0.539531	−	0.841966i	$-0.318602\pi$
$757$	−8.32110	−	8.32110i	−0.302435	−	0.302435i	−0.841966	+	0.539531i	$0.818602\pi$
$758$	−7.38862	+	46.9192i	−0.268367	+	1.70418i
$759$	−19.3739	−	5.57552i	−0.703229	−	0.202379i
$760$	−31.7292	+	35.4280i	−1.15094	+	1.28511i
$761$	−6.71373	−	3.87617i	−0.243372	−	0.140511i	0.373353	−	0.927689i	$-0.378208\pi$
$761$	−6.71373	−	3.87617i	−0.243372	−	0.140511i	−0.616726	+	0.787178i	$0.711541\pi$
$762$	−20.2894	+	43.5025i	−0.735008	+	1.57593i
$763$	−13.9939	+	22.6232i	−0.506613	+	0.819013i
$764$	−17.0120	+	15.3724i	−0.615471	+	0.556153i
$765$	−38.8157	+	8.88283i	−1.40338	+	0.321159i
$766$	−36.9653	+	3.91837i	−1.33561	+	0.141576i
$767$	0.106531	−	0.0615056i	0.00384661	−	0.00222084i
$768$	−18.7754	+	20.3835i	−0.677498	+	0.735525i
$769$		−	44.6240i		−	1.60918i	−0.593830	−	0.804591i	$-0.702385\pi$
$769$		−	44.6240i		−	1.60918i	0.593830	−	0.804591i	$-0.297615\pi$
$770$	16.8598	−	5.90797i	0.607585	−	0.212908i
$771$	−30.9716	−	0.570358i	−1.11541	−	0.0205409i
$772$	6.15738	−	1.32021i	0.221609	−	0.0475156i
$773$	5.78299	−	21.5824i	0.208000	−	0.776266i	−0.780514	−	0.625138i	$-0.785043\pi$
$773$	5.78299	−	21.5824i	0.208000	−	0.776266i	0.988514	−	0.151128i	$-0.0482906\pi$
$774$	13.2952	+	11.5814i	0.477884	+	0.416286i
$775$	−28.8489	+	49.9678i	−1.03628	+	1.79490i
$776$	3.08946	+	9.42297i	0.110905	+	0.338265i
$777$	−25.6771	+	13.1993i	−0.921160	+	0.473524i
$778$	2.53564	+	6.58811i	0.0909073	+	0.236195i
$779$	−0.762196	−	2.84455i	−0.0273085	−	0.101917i
$780$	−5.74236	−	1.97202i	−0.205609	−	0.0706098i
$781$	11.2175	+	3.00571i	0.401393	+	0.107553i
$782$	−26.9297	−	36.9964i	−0.963003	−	1.32299i
$783$	−25.3017	−	28.2636i	−0.904208	−	1.01006i
$784$	9.90842	+	26.1882i	0.353872	+	0.935294i
$785$		−	0.656790i		−	0.0234418i
$786$	6.44110	+	1.13622i	0.229746	+	0.0405278i
$787$	−3.36908	+	12.5736i	−0.120095	+	0.448200i	−0.999617	−	0.0276569i	$-0.991195\pi$
$787$	−3.36908	+	12.5736i	−0.120095	+	0.448200i	0.879523	+	0.475857i	$0.157862\pi$
$788$	20.6056	+	40.2641i	0.734045	+	1.43435i
$789$	−3.97935	+	6.60837i	−0.141669	+	0.235264i
$790$	51.2701	−	19.7329i	1.82411	−	0.702066i
$791$	−23.8169	−	7.16330i	−0.846831	−	0.254698i
$792$	5.07674	−	9.17470i	0.180394	−	0.326009i
$793$	1.55755	+	0.899251i	0.0553101	+	0.0319333i
$794$	−25.1145	−	20.3005i	−0.891281	−	0.720437i
$795$	−12.2938	−	22.2288i	−0.436014	−	0.788375i
$796$	−1.63253	+	0.350033i	−0.0578635	+	0.0124066i
$797$	35.9536	−	35.9536i	1.27354	−	1.27354i	0.329323	−	0.944217i	$-0.393179\pi$
$797$	35.9536	−	35.9536i	1.27354	−	1.27354i	0.944217	−	0.329323i	$-0.106821\pi$
$798$	25.1866	+	12.6916i	0.891597	+	0.449278i
$799$	6.39575			0.226265
$800$	28.2979	+	48.5151i	1.00048	+	1.71527i
$801$	25.8609	−	13.6868i	0.913749	−	0.483601i
$802$	−0.986465	−	9.30617i	−0.0348333	−	0.328612i
$803$	−1.32162	−	4.93235i	−0.0466389	−	0.174059i
$804$	4.11659	+	0.284493i	0.145181	+	0.0100333i
$805$	−81.8869	−	50.6523i	−2.88613	−	1.78526i
$806$	1.33910	+	3.47926i	0.0471679	+	0.122552i
$807$	−1.23729	−	4.98286i	−0.0435545	−	0.175405i
$808$	−1.74383	−	31.6619i	−0.0613478	−	1.11386i
$809$	−20.0973	−	34.8095i	−0.706583	−	1.22384i	−0.966117	−	0.258104i	$-0.916902\pi$
$809$	−20.0973	−	34.8095i	−0.706583	−	1.22384i	0.259534	−	0.965734i	$-0.416431\pi$
$810$	−11.2040	+	47.8843i	−0.393670	+	1.68248i
$811$	−21.1874	+	21.1874i	−0.743989	+	0.743989i	−0.973343	−	0.229354i	$-0.926339\pi$
$811$	−21.1874	+	21.1874i	−0.743989	+	0.743989i	0.229354	+	0.973343i	$0.426339\pi$
$812$	6.94843	+	38.0003i	0.243842	+	1.33355i
$813$	−0.638974	+	34.6976i	−0.0224098	+	1.21690i
$814$	−6.47954	−	8.90170i	−0.227108	−	0.312005i
$815$	32.5363	+	56.3545i	1.13970	+	1.97401i
$816$	21.8841	−	9.35616i	0.766096	−	0.327531i
$817$	−15.6631	−	9.04310i	−0.547983	−	0.316378i
$818$	−10.7584	+	24.2217i	−0.376160	+	0.846891i
$819$	−0.241726	+	3.59242i	−0.00844660	+	0.125529i
$820$	−5.22245	−	0.264407i	−0.182376	−	0.00923350i
$821$	−6.13368	−	22.8912i	−0.214067	−	0.798909i	−0.986493	−	0.163804i	$-0.947623\pi$
$821$	−6.13368	−	22.8912i	−0.214067	−	0.798909i	0.772426	−	0.635105i	$-0.219043\pi$
$822$	−15.3099	+	1.33832i	−0.533994	+	0.0466791i
$823$	−8.50362	+	4.90957i	−0.296418	+	0.171137i	−0.640832	−	0.767681i	$-0.721411\pi$
$823$	−8.50362	+	4.90957i	−0.296418	+	0.171137i	0.344415	+	0.938818i	$0.388077\pi$
$824$	−5.26716	+	25.1084i	−0.183490	+	0.874694i
$825$	−14.7475	−	15.3008i	−0.513441	−	0.532706i
$826$	0.0762765	+	1.01177i	0.00265400	+	0.0352038i
$827$	11.8285	−	11.8285i	0.411317	−	0.411317i	−0.470880	−	0.882197i	$-0.656064\pi$
$827$	11.8285	−	11.8285i	0.411317	−	0.411317i	0.882197	+	0.470880i	$0.156064\pi$
$828$	−55.6571	+	9.80547i	−1.93422	+	0.340764i
$829$	−4.01063	+	14.9679i	−0.139295	+	0.519856i	0.860648	+	0.509200i	$0.170059\pi$
$829$	−4.01063	+	14.9679i	−0.139295	+	0.519856i	−0.999943	+	0.0106562i	$0.996608\pi$
$830$	27.5598	−	2.92138i	0.956616	−	0.101402i
$831$	−40.8075	+	10.1329i	−1.41560	+	0.351505i
$832$	3.58730	+	0.548616i	0.124367	+	0.0190198i
$833$	1.45922	−	24.0025i	0.0505588	−	0.831639i
$834$	−3.39998	−	9.34349i	−0.117732	−	0.323539i
$835$	−3.82122	−	14.2610i	−0.132239	−	0.493522i
$836$	−3.30553	+	10.2351i	−0.114324	+	0.353990i
$837$	26.9444	−	13.6312i	0.931333	−	0.471164i
$838$	−19.0623	−	3.00184i	−0.658496	−	0.103697i
$839$			4.10357i			0.141671i	0.997488	+	0.0708355i	$0.0225665\pi$
$839$			4.10357i			0.141671i	−0.997488	+	0.0708355i	$0.977433\pi$
$840$	35.1900	−	35.6325i	1.21417	−	1.22944i
$841$			24.2966i			0.837814i
$842$	3.42713	−	21.7630i	0.118107	−	0.750001i
$843$	−11.0366	−	19.9558i	−0.380122	−	0.687314i
$844$	−3.39836	−	6.64050i	−0.116976	−	0.228575i
$845$	−12.7944	−	47.7494i	−0.440141	−	1.64263i
$846$	3.46999	−	7.09591i	0.119301	−	0.243963i
$847$	−18.2520	+	17.1761i	−0.627148	+	0.590178i
$848$	9.59674	+	11.7654i	0.329553	+	0.404025i
$849$	3.27576	+	13.1923i	0.112424	+	0.452758i
$850$	−5.08451	−	47.9666i	−0.174397	−	1.64524i
$851$	−15.3587	+	57.3196i	−0.526491	+	1.96489i
$852$	31.9515	−	6.23774i	1.09464	−	0.213701i
$853$	3.26465	−	3.26465i	0.111779	−	0.111779i	−0.649005	−	0.760784i	$-0.724815\pi$
$853$	3.26465	−	3.26465i	0.111779	−	0.111779i	0.760784	+	0.649005i	$0.224815\pi$
$854$	−12.2532	+	8.36213i	−0.419296	+	0.286146i
$855$	1.85728	−	50.4100i	0.0635177	−	1.72398i
$856$	−9.29898	−	14.2361i	−0.317833	−	0.486580i
$857$	15.5636	−	8.98563i	0.531641	−	0.306943i	−0.210043	−	0.977692i	$-0.567360\pi$
$857$	15.5636	−	8.98563i	0.531641	−	0.306943i	0.741685	+	0.670749i	$0.234027\pi$
$858$	−1.36788	+	0.119573i	−0.0466987	+	0.00408217i
$859$	8.20825	+	30.6336i	0.280062	+	1.04520i	0.952373	+	0.304936i	$0.0986350\pi$
$859$	8.20825	+	30.6336i	0.280062	+	1.04520i	−0.672311	+	0.740269i	$0.734698\pi$
$860$	−23.8279	+	21.5314i	−0.812526	+	0.734216i
$861$	0.655607	+	3.03089i	0.0223430	+	0.103293i
$862$	−1.38628	−	0.615739i	−0.0472169	−	0.0209721i
$863$	22.4953	+	12.9877i	0.765749	+	0.442105i	0.831356	−	0.555740i	$-0.187565\pi$
$863$	22.4953	+	12.9877i	0.765749	+	0.442105i	−0.0656071	+	0.997846i	$0.520898\pi$
$864$	1.49271	−	29.3560i	0.0507831	−	0.998710i
$865$	39.8044	+	68.9432i	1.35339	+	2.34414i
$866$	25.6338	−	18.6588i	0.871072	−	0.634052i
$867$	9.00332	+	0.165801i	0.305769	+	0.00563089i
$868$	−30.6496	−	2.48638i	−1.04031	−	0.0843932i
$869$	8.78513	−	8.78513i	0.298015	−	0.298015i
$870$	56.6007	−	39.6261i	1.91894	−	1.34345i
$871$	−0.270177	−	0.467961i	−0.00915461	−	0.0158562i
$872$	−28.3951	+	1.56391i	−0.961579	+	0.0529606i
$873$	−8.90909	−	5.59083i	−0.301527	−	0.189221i
$874$	54.1010	−	20.8225i	1.82999	−	0.704332i
$875$	−23.8555	−	44.3777i	−0.806463	−	1.50024i
$876$	−9.39987	−	10.7956i	−0.317592	−	0.364748i
$877$	−11.8051	−	44.0574i	−0.398631	−	1.48771i	−0.815506	−	0.578749i	$-0.803541\pi$
$877$	−11.8051	−	44.0574i	−0.398631	−	1.48771i	0.416875	−	0.908964i	$-0.363125\pi$
$878$	−42.2531	+	4.47888i	−1.42597	+	0.151155i
$879$	2.14143	−	7.44109i	0.0722288	−	0.250982i
$880$	15.4907	+	11.1709i	0.522192	+	0.376571i
$881$	56.6583			1.90887			0.954433	−	0.298425i	$-0.0964612\pi$
$881$	56.6583			1.90887			0.954433	+	0.298425i	$0.0964612\pi$
$882$	−25.8385	−	14.6414i	−0.870027	−	0.493003i
$883$	6.19836	−	6.19836i	0.208592	−	0.208592i	−0.595077	−	0.803669i	$-0.702878\pi$
$883$	6.19836	−	6.19836i	0.208592	−	0.208592i	0.803669	+	0.595077i	$0.202878\pi$
$884$	−2.61685	−	1.69281i	−0.0880142	−	0.0569354i
$885$	1.58806	−	0.878285i	0.0533821	−	0.0295232i
$886$	10.5176	−	13.0118i	0.353347	−	0.437139i
$887$	26.4271	+	15.2577i	0.887336	+	0.512303i	0.873070	−	0.487595i	$-0.162126\pi$
$887$	26.4271	+	15.2577i	0.887336	+	0.512303i	0.0142655	+	0.999898i	$0.495459\pi$
$888$	−27.2763	−	14.4436i	−0.915332	−	0.484695i
$889$	−14.9331	+	49.6503i	−0.500840	+	1.66522i
$890$	19.1426	+	49.7363i	0.641662	+	1.66716i
$891$	2.08017	+	10.9254i	0.0696884	+	0.366015i
$892$	32.0357	+	10.3462i	1.07263	+	0.346417i
$893$	−2.09704	+	7.82627i	−0.0701748	+	0.261896i
$894$	47.7108	+	8.41630i	1.59569	+	0.281483i
$895$		−	17.5485i		−	0.586580i
$896$	−16.9043	+	24.7031i	−0.564732	+	0.825274i
$897$	5.13576	+	5.32846i	0.171478	+	0.177912i
$898$	1.77443	−	1.29161i	0.0592135	−	0.0431014i
$899$	−40.9792	−	10.9803i	−1.36673	−	0.366215i
$900$	−55.9762	−	20.3829i	−1.86587	−	0.679431i
$901$	−3.37483	−	12.5950i	−0.112432	−	0.419602i
$902$	−1.10367	+	0.424781i	−0.0367480	+	0.0141437i
$903$	16.0094	+	10.3152i	0.532761	+	0.343269i
$904$	−8.28341	−	25.2647i	−0.275502	−	0.840292i
$905$	30.8514	−	53.4362i	1.02554	−	1.77628i
$906$	−3.65650	−	41.8292i	−0.121479	−	1.38968i
$907$	1.98307	−	7.40093i	0.0658468	−	0.245744i	−0.925155	−	0.379588i	$-0.876066\pi$
$907$	1.98307	−	7.40093i	0.0658468	−	0.245744i	0.991002	+	0.133845i	$0.0427323\pi$
$908$	−11.8776	+	18.3611i	−0.394172	+	0.609335i
$909$	22.8907	+	24.6419i	0.759235	+	0.817321i
$910$	−6.44422	−	1.21633i	−0.213624	−	0.0403209i
$911$		−	11.6869i		−	0.387203i	−0.981080	−	0.193602i	$-0.937983\pi$
$911$		−	11.6869i		−	0.387203i	0.981080	−	0.193602i	$-0.0620169\pi$
$912$	4.27346	+	29.8465i	0.141508	+	0.988317i
$913$	5.42796	−	3.13384i	0.179639	−	0.103715i
$914$	−0.481470	−	4.54212i	−0.0159256	−	0.150240i
$915$	22.7299	+	13.6872i	0.751429	+	0.452486i
$916$	15.6961	+	0.794677i	0.518614	+	0.0262569i
$917$	7.06134	+	0.214446i	0.233186	+	0.00708164i
$918$	−11.5053	+	22.4696i	−0.379732	+	0.741608i
$919$	27.6242	+	15.9488i	0.911237	+	0.526103i	0.880829	−	0.473435i	$-0.156986\pi$
$919$	27.6242	+	15.9488i	0.911237	+	0.526103i	0.0304081	+	0.999538i	$0.490319\pi$
$920$	−5.66073	−	102.779i	−0.186629	−	3.38852i
$921$	−13.2473	+	46.0319i	−0.436512	+	1.51680i
$922$	−20.3061	−	3.19771i	−0.668746	−	0.105311i
$923$	−3.01443	−	3.01443i	−0.0992213	−	0.0992213i
$924$	4.00205	−	10.5951i	0.131658	−	0.348554i
$925$	−44.2310	+	44.2310i	−1.45431	+	1.45431i
$926$	−27.3795	−	37.6144i	−0.899746	−	1.23609i
$927$	−12.7287	−	24.0505i	−0.418066	−	0.789923i
$928$	−29.0720	+	29.3310i	−0.954335	+	0.962839i
$929$	−26.7208	+	46.2818i	−0.876682	+	1.51846i	−0.0217212	+	0.999764i	$0.506915\pi$
$929$	−26.7208	+	46.2818i	−0.876682	+	1.51846i	−0.854960	+	0.518693i	$0.826419\pi$
$930$	18.8070	+	51.6836i	0.616707	+	1.69477i
$931$	28.8927	+	9.65556i	0.946919	+	0.316448i
$932$	−4.92686	−	5.45234i	−0.161385	−	0.178597i
$933$	21.7471	+	13.0954i	0.711967	+	0.428724i
$934$	10.4876	−	12.9746i	0.343163	−	0.424541i
$935$	−8.20103	−	14.2046i	−0.268202	−	0.464540i
$936$	−3.29789	+	1.98490i	−0.107795	+	0.0648785i
$937$	13.6445			0.445746			0.222873	−	0.974847i	$-0.428456\pi$
$937$	13.6445			0.445746			0.222873	+	0.974847i	$0.428456\pi$
$938$	4.44441	−	0.335062i	0.145115	−	0.0109402i
$939$	−47.4243	−	0.873344i	−1.54763	−	0.0285005i
$940$	12.0799	+	7.81432i	0.394002	+	0.254875i
$941$	25.8332	+	6.92198i	0.842138	+	0.225650i	0.654002	−	0.756493i	$-0.273089\pi$
$941$	25.8332	+	6.92198i	0.842138	+	0.225650i	0.188136	+	0.982143i	$0.439755\pi$
$942$	−0.318948	−	0.267669i	−0.0103919	−	0.00872111i
$943$	5.51986	+	3.18689i	0.179751	+	0.103780i
$944$	−0.840537	+	0.685606i	−0.0273572	+	0.0223146i
$945$	−4.54134	+	52.9234i	−0.147730	+	1.72160i
$946$	−2.94821	+	6.63762i	−0.0958545	+	0.215808i
$947$	−2.25393	+	0.603938i	−0.0732428	+	0.0196254i	−0.295254	−	0.955419i	$-0.595404\pi$
$947$	−2.25393	+	0.603938i	−0.0732428	+	0.0196254i	0.222012	+	0.975044i	$0.428738\pi$
$948$	11.3120	−	32.9395i	0.367397	−	1.06983i
$949$	−0.485150	+	1.81060i	−0.0157486	+	0.0587747i
$950$	60.3622	+	9.50555i	1.95841	+	0.308401i
$951$	31.5258	+	32.7087i	1.02230	+	1.06065i
$952$	21.9393	−	13.3987i	0.711058	−	0.434253i
$953$	−0.910500			−0.0294940			−0.0147470	−	0.999891i	$-0.504694\pi$
$953$	−0.910500			−0.0294940			−0.0147470	+	0.999891i	$0.504694\pi$
$954$	−15.8049	−	3.08911i	−0.511702	−	0.100013i
$955$	42.7858	+	11.4644i	1.38452	+	0.370980i
$956$	20.7610	+	6.70496i	0.671458	+	0.216854i
$957$	8.06067	−	13.3861i	0.260564	−	0.432710i
$958$	−5.09299	+	11.4664i	−0.164547	+	0.370463i
$959$	−16.1570	+	3.80761i	−0.521738	+	0.122954i
$960$	52.7645	+	9.06666i	1.70297	+	0.292625i
$961$	1.38535	−	2.39950i	0.0446887	−	0.0774031i
$962$	0.426039	+	4.01919i	0.0137361	+	0.129584i
$963$	17.2373	+	5.30618i	0.555464	+	0.170989i
$964$	−0.234102	−	1.09183i	−0.00753991	−	0.0351656i
$965$	−8.60244	−	8.60244i	−0.276922	−	0.276922i
$966$	−57.9698	+	19.1227i	−1.86515	+	0.615262i
$967$			34.5503i			1.11106i	0.831496	+	0.555531i	$0.187485\pi$
$967$			34.5503i			1.11106i	−0.831496	+	0.555531i	$0.812515\pi$
$968$	−26.2227	−	5.50092i	−0.842831	−	0.176806i
$969$	7.16128	−	24.8841i	0.230053	−	0.799394i
$970$	12.0430	−	14.8989i	0.386677	−	0.478374i
$971$	32.4049	−	8.68287i	1.03992	−	0.278647i	0.301842	−	0.953358i	$-0.402399\pi$
$971$	32.4049	−	8.68287i	1.03992	−	0.278647i	0.738082	+	0.674711i	$0.235732\pi$
$972$	18.6873	+	24.9557i	0.599395	+	0.800453i
$973$	−5.08497	−	9.45942i	−0.163017	−	0.303255i
$974$	31.0373	+	13.7857i	0.994499	+	0.441723i
$975$	1.87995	+	7.57104i	0.0602067	+	0.242467i
$976$	−14.8256	−	5.63075i	−0.474557	−	0.180236i
$977$	−29.5421	+	17.0561i	−0.945135	+	0.545674i	−0.891566	−	0.452890i	$-0.850393\pi$
$977$	−29.5421	+	17.0561i	−0.945135	+	0.545674i	−0.0535688	+	0.998564i	$0.517060\pi$
$978$	40.6265	+	7.16660i	1.29909	+	0.229163i
$979$	8.52232	+	8.52232i	0.272375	+	0.272375i
$980$	32.0823	−	43.5515i	1.02483	−	1.39120i
$981$	22.0994	−	20.5288i	0.705580	−	0.655436i
$982$	0.937611	+	0.147651i	0.0299204	+	0.00471172i
$983$	2.30471	−	1.33062i	0.0735087	−	0.0424403i	−0.462795	−	0.886465i	$-0.653153\pi$
$983$	2.30471	−	1.33062i	0.0735087	−	0.0424403i	0.536304	+	0.844025i	$0.319820\pi$
$984$	−2.25676	+	2.42835i	−0.0719430	+	0.0774130i
$985$	43.6898	−	75.6730i	1.39207	−	2.41114i
$986$	33.1001	−	12.7396i	1.05412	−	0.405712i
$987$	2.60735	−	8.12363i	0.0829929	−	0.258578i
$988$	2.92945	−	2.64711i	0.0931982	−	0.0842159i
$989$	37.8110	−	10.1314i	1.20232	−	0.322161i
$990$	−20.2091	+	1.39218i	−0.642286	+	0.0442462i
$991$	3.88922	+	6.73633i	0.123545	+	0.213987i	0.921163	−	0.389176i	$-0.127240\pi$
$991$	3.88922	+	6.73633i	0.123545	+	0.213987i	−0.797618	+	0.603163i	$0.793907\pi$
$992$	−16.5628	−	28.3960i	−0.525870	−	0.901575i
$993$	4.55749	+	4.72850i	0.144628	+	0.150054i
$994$	33.1847	−	11.6285i	1.05255	−	0.368833i
$995$	2.28080	+	2.28080i	0.0723061	+	0.0723061i
$996$	9.81309	−	14.5741i	0.310940	−	0.461797i
$997$	9.97562	+	2.67296i	0.315931	+	0.0846535i	0.413300	−	0.910595i	$-0.364376\pi$
$997$	9.97562	+	2.67296i	0.315931	+	0.0846535i	−0.0973690	+	0.995248i	$0.531043\pi$
$998$	−17.0260	+	21.0635i	−0.538948	+	0.666754i
$999$	32.0408	−	6.71407i	1.01372	−	0.212424i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	336.2.bo.a.5.19	✓	240
3.2	odd	2	inner	336.2.bo.a.5.42	yes	240
7.3	odd	6	inner	336.2.bo.a.101.58	yes	240
16.13	even	4	inner	336.2.bo.a.173.3	yes	240
21.17	even	6	inner	336.2.bo.a.101.3	yes	240
48.29	odd	4	inner	336.2.bo.a.173.58	yes	240
112.45	odd	12	inner	336.2.bo.a.269.42	yes	240
336.269	even	12	inner	336.2.bo.a.269.19	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
336.2.bo.a.5.19	✓	240	1.1	even	1	trivial
336.2.bo.a.5.42	yes	240	3.2	odd	2	inner
336.2.bo.a.101.3	yes	240	21.17	even	6	inner
336.2.bo.a.101.58	yes	240	7.3	odd	6	inner
336.2.bo.a.173.3	yes	240	16.13	even	4	inner
336.2.bo.a.173.58	yes	240	48.29	odd	4	inner
336.2.bo.a.269.19	yes	240	336.269	even	12	inner
336.2.bo.a.269.42	yes	240	112.45	odd	12	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:	\( N \)	\(=\)	\( 336 = 2^{4} \cdot 3 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	336.bo (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.832268 - 1.14338i) q^{2} +(0.838260 + 1.51569i) q^{3} +(-0.614658 + 1.90321i) q^{4} +(3.73210 - 1.00001i) q^{5} +(1.03536 - 2.21992i) q^{6} +(0.762031 - 2.53364i) q^{7} +(2.68766 - 0.881188i) q^{8} +(-1.59464 + 2.54109i) q^{9} +O(q^{10})\)	\(q+(-0.832268 - 1.14338i) q^{2} +(0.838260 + 1.51569i) q^{3} +(-0.614658 + 1.90321i) q^{4} +(3.73210 - 1.00001i) q^{5} +(1.03536 - 2.21992i) q^{6} +(0.762031 - 2.53364i) q^{7} +(2.68766 - 0.881188i) q^{8} +(-1.59464 + 2.54109i) q^{9} +(-4.24951 - 3.43495i) q^{10} +(-1.19364 - 0.319834i) q^{11} +(-3.39992 + 0.663750i) q^{12} +(0.320762 + 0.320762i) q^{13} +(-3.53113 + 1.23737i) q^{14} +(4.64419 + 4.81845i) q^{15} +(-3.24439 - 2.33964i) q^{16} +(1.71763 + 2.97503i) q^{17} +(4.23261 - 0.291579i) q^{18} +(-4.20362 + 1.12636i) q^{19} +(-0.390735 + 7.71763i) q^{20} +(4.47899 - 0.968842i) q^{21} +(0.627732 + 1.63097i) q^{22} +(4.70952 - 8.15713i) q^{23} +(3.58857 + 3.33500i) q^{24} +(8.59845 - 4.96432i) q^{25} +(0.0997943 - 0.633714i) q^{26} +(-5.18823 - 0.286891i) q^{27} +(4.35364 + 3.00762i) q^{28} +(5.16220 + 5.16220i) q^{29} +(1.64413 - 9.32033i) q^{30} +(-5.03270 + 2.90563i) q^{31} +(0.0250903 + 5.65680i) q^{32} +(-0.515808 - 2.07729i) q^{33} +(1.97207 - 4.43994i) q^{34} +(0.310306 - 10.2178i) q^{35} +(-3.85605 - 4.59683i) q^{36} +(-6.08550 + 1.63060i) q^{37} +(4.78640 + 3.86893i) q^{38} +(-0.217294 + 0.755058i) q^{39} +(9.14942 - 5.97638i) q^{40} +0.676691i q^{41} +(-4.83548 - 4.31487i) q^{42} +(2.93868 + 2.93868i) q^{43} +(1.34239 - 2.07515i) q^{44} +(-3.41024 + 11.0783i) q^{45} +(-13.2463 + 1.40413i) q^{46} +(0.930896 - 1.61236i) q^{47} +(0.826535 - 6.87872i) q^{48} +(-5.83862 - 3.86142i) q^{49} +(-12.8323 - 5.69969i) q^{50} +(-3.06940 + 5.09725i) q^{51} +(-0.807635 + 0.413317i) q^{52} +(-3.66640 - 0.982408i) q^{53} +(3.98997 + 6.17091i) q^{54} -4.77461 q^{55} +(-0.184530 - 7.48104i) q^{56} +(-5.23094 - 5.42721i) q^{57} +(1.60605 - 10.1987i) q^{58} +(0.0701848 - 0.261933i) q^{59} +(-12.0251 + 5.87715i) q^{60} +(3.82963 - 1.02615i) q^{61} +(7.51081 + 3.33605i) q^{62} +(5.22302 + 5.97662i) q^{63} +(6.44702 - 4.73666i) q^{64} +(1.51788 + 0.876350i) q^{65} +(-1.94585 + 2.31863i) q^{66} +(-1.15060 - 0.308303i) q^{67} +(-6.71785 + 1.44038i) q^{68} +(16.3115 + 0.300385i) q^{69} +(-11.9412 + 8.14918i) q^{70} -9.39773 q^{71} +(-2.04667 + 8.23475i) q^{72} +(2.06610 + 3.57859i) q^{73} +(6.92918 + 5.60097i) q^{74} +(14.7321 + 8.87121i) q^{75} +(0.440101 - 8.69268i) q^{76} +(-1.71993 + 2.78052i) q^{77} +(1.04417 - 0.379960i) q^{78} +(-5.02696 + 8.70695i) q^{79} +(-14.4481 - 5.48736i) q^{80} +(-3.91424 - 8.10424i) q^{81} +(0.773718 - 0.563189i) q^{82} +(-3.58644 + 3.58644i) q^{83} +(-0.909142 + 9.11995i) q^{84} +(9.38546 + 9.38546i) q^{85} +(0.914273 - 5.80582i) q^{86} +(-3.49704 + 12.1516i) q^{87} +(-3.48992 + 0.192213i) q^{88} +(-8.44647 - 4.87657i) q^{89} +(15.5050 - 5.32087i) q^{90} +(1.05712 - 0.568263i) q^{91} +(12.6300 + 13.9770i) q^{92} +(-8.62274 - 5.19234i) q^{93} +(-2.61830 + 0.277543i) q^{94} +(-14.5620 + 8.40736i) q^{95} +(-8.55293 + 4.77990i) q^{96} +3.50602i q^{97} +(0.444213 + 9.88952i) q^{98} +(2.71615 - 2.52311i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 6 q^{3} - 4 q^{4}+O(q^{10}) \) 240 * q - 6 * q^3 - 4 * q^4	\( 240 q - 6 q^{3} - 4 q^{4} - 12 q^{10} - 6 q^{12} - 16 q^{15} - 20 q^{16} - 4 q^{18} - 12 q^{19} + 2 q^{21} - 40 q^{22} - 6 q^{24} - 12 q^{28} + 22 q^{30} - 24 q^{31} - 12 q^{33} - 64 q^{36} - 4 q^{37} + 48 q^{40} - 18 q^{42} - 16 q^{43} - 6 q^{45} + 12 q^{46} - 16 q^{49} - 10 q^{51} - 48 q^{52} - 90 q^{54} - 4 q^{58} - 18 q^{60} - 12 q^{61} - 36 q^{63} + 32 q^{64} - 66 q^{66} - 36 q^{67} - 76 q^{70} - 46 q^{72} + 24 q^{75} - 76 q^{78} - 8 q^{79} - 4 q^{81} + 72 q^{82} - 24 q^{84} + 24 q^{85} + 12 q^{88} - 88 q^{91} - 14 q^{93} + 24 q^{94} + 96 q^{96} + 28 q^{99}+O(q^{100}) \) 240 * q - 6 * q^3 - 4 * q^4 - 12 * q^10 - 6 * q^12 - 16 * q^15 - 20 * q^16 - 4 * q^18 - 12 * q^19 + 2 * q^21 - 40 * q^22 - 6 * q^24 - 12 * q^28 + 22 * q^30 - 24 * q^31 - 12 * q^33 - 64 * q^36 - 4 * q^37 + 48 * q^40 - 18 * q^42 - 16 * q^43 - 6 * q^45 + 12 * q^46 - 16 * q^49 - 10 * q^51 - 48 * q^52 - 90 * q^54 - 4 * q^58 - 18 * q^60 - 12 * q^61 - 36 * q^63 + 32 * q^64 - 66 * q^66 - 36 * q^67 - 76 * q^70 - 46 * q^72 + 24 * q^75 - 76 * q^78 - 8 * q^79 - 4 * q^81 + 72 * q^82 - 24 * q^84 + 24 * q^85 + 12 * q^88 - 88 * q^91 - 14 * q^93 + 24 * q^94 + 96 * q^96 + 28 * q^99

Introduction

L-functions

Modular forms

Varieties

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Database

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