LMFDB - Embedded newform 798.2.ca.a.451.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [798,2,Mod(325,798)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(798, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([0, 3, 1]))

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

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

chi := DirichletCharacter("798.325");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 798 = 2 \cdot 3 \cdot 7 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	798.ca (of order $18$, degree $6$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$6.37206208130$
Analytic rank:	$0$
Dimension:	$72$
Relative dimension:	$12$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			451.8
Character	$\chi$	$=$	798.451
Dual form			798.2.ca.a.775.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.642788 - 0.766044i) q^{2} +(-0.766044 - 0.642788i) q^{3} +(-0.173648 - 0.984808i) q^{4} +(-3.36851 - 0.593959i) q^{5} +(-0.984808 + 0.173648i) q^{6} +(1.61146 + 2.09838i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(0.173648 + 0.984808i) q^{9} +O(q^{10})$	\(q+(0.642788 - 0.766044i) q^{2} +(-0.766044 - 0.642788i) q^{3} +(-0.173648 - 0.984808i) q^{4} +(-3.36851 - 0.593959i) q^{5} +(-0.984808 + 0.173648i) q^{6} +(1.61146 + 2.09838i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(0.173648 + 0.984808i) q^{9} +(-2.62023 + 2.19864i) q^{10} +(2.24004 + 3.87986i) q^{11} +(-0.500000 + 0.866025i) q^{12} +(0.401240 + 2.27555i) q^{13} +(2.64328 + 0.114363i) q^{14} +(2.19864 + 2.62023i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(-3.08808 - 0.544513i) q^{17} +(0.866025 + 0.500000i) q^{18} +(3.50971 - 2.58494i) q^{19} +3.42047i q^{20} +(0.114363 - 2.64328i) q^{21} +(4.41202 + 0.777958i) q^{22} +(2.02738 + 0.737907i) q^{23} +(0.342020 + 0.939693i) q^{24} +(6.29559 + 2.29141i) q^{25} +(2.00108 + 1.15533i) q^{26} +(0.500000 - 0.866025i) q^{27} +(1.78667 - 1.95136i) q^{28} +(-2.23164 + 6.13137i) q^{29} +3.42047 q^{30} +2.27085 q^{31} +(-0.342020 + 0.939693i) q^{32} +(0.777958 - 4.41202i) q^{33} +(-2.40210 + 2.01560i) q^{34} +(-4.18186 - 8.02555i) q^{35} +(0.939693 - 0.342020i) q^{36} +(4.14341 - 2.39220i) q^{37} +(0.275823 - 4.35016i) q^{38} +(1.15533 - 2.00108i) q^{39} +(2.62023 + 2.19864i) q^{40} +(1.06797 - 6.05677i) q^{41} +(-1.95136 - 1.78667i) q^{42} +(7.43014 + 6.23463i) q^{43} +(3.43194 - 2.87974i) q^{44} -3.42047i q^{45} +(1.86845 - 1.07875i) q^{46} +(6.27330 - 1.10615i) q^{47} +(0.939693 + 0.342020i) q^{48} +(-1.80640 + 6.76291i) q^{49} +(5.80205 - 3.34981i) q^{50} +(2.01560 + 2.40210i) q^{51} +(2.17130 - 0.790289i) q^{52} +(-2.33226 + 0.411240i) q^{53} +(-0.342020 - 0.939693i) q^{54} +(-5.24111 - 14.3998i) q^{55} +(-0.346375 - 2.62298i) q^{56} +(-4.35016 - 0.275823i) q^{57} +(3.26243 + 5.65070i) q^{58} +(-1.81484 + 10.2925i) q^{59} +(2.19864 - 2.62023i) q^{60} +(-3.17294 + 8.71759i) q^{61} +(1.45968 - 1.73958i) q^{62} +(-1.78667 + 1.95136i) q^{63} +(0.500000 + 0.866025i) q^{64} -7.90352i q^{65} +(-2.87974 - 3.43194i) q^{66} +(7.18658 + 8.56463i) q^{67} +3.13572i q^{68} +(-1.07875 - 1.86845i) q^{69} +(-8.83598 - 1.95523i) q^{70} +(-8.04193 + 9.58400i) q^{71} +(0.342020 - 0.939693i) q^{72} +(-5.29958 + 6.31580i) q^{73} +(0.830802 - 4.71171i) q^{74} +(-3.34981 - 5.80205i) q^{75} +(-3.15512 - 3.00752i) q^{76} +(-4.53169 + 10.9527i) q^{77} +(-0.790289 - 2.17130i) q^{78} +(-4.87408 - 13.3914i) q^{79} +(3.36851 - 0.593959i) q^{80} +(-0.939693 + 0.342020i) q^{81} +(-3.95327 - 4.71133i) q^{82} +(-3.61001 + 2.08424i) q^{83} +(-2.62298 + 0.346375i) q^{84} +(10.0788 + 3.66839i) q^{85} +(9.55200 - 1.68428i) q^{86} +(5.65070 - 3.26243i) q^{87} -4.48008i q^{88} +(6.25624 - 5.24961i) q^{89} +(-2.62023 - 2.19864i) q^{90} +(-4.12838 + 4.50891i) q^{91} +(0.374645 - 2.12472i) q^{92} +(-1.73958 - 1.45968i) q^{93} +(3.18504 - 5.51665i) q^{94} +(-13.3578 + 6.62276i) q^{95} +(0.866025 - 0.500000i) q^{96} +(13.1092 - 4.77137i) q^{97} +(4.01956 + 5.73089i) q^{98} +(-3.43194 + 2.87974i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 72 q - 6 q^{7}+O(q^{10}) $ 72 * q - 6 * q^7	$ 72 q - 6 q^{7} + 6 q^{10} + 6 q^{11} - 36 q^{12} + 30 q^{13} - 12 q^{14} + 18 q^{17} + 54 q^{19} - 12 q^{21} + 12 q^{22} - 6 q^{23} + 24 q^{25} + 18 q^{26} + 36 q^{27} + 6 q^{28} - 12 q^{31} - 6 q^{33} + 6 q^{34} - 24 q^{35} + 18 q^{37} - 24 q^{38} - 6 q^{40} + 18 q^{42} + 6 q^{43} - 6 q^{44} + 18 q^{46} - 18 q^{47} + 12 q^{49} + 42 q^{52} - 12 q^{53} - 30 q^{55} + 18 q^{56} + 6 q^{57} - 78 q^{59} - 42 q^{61} - 12 q^{62} - 6 q^{63} + 36 q^{64} - 6 q^{66} - 6 q^{67} + 6 q^{69} - 54 q^{70} + 6 q^{71} + 12 q^{73} - 6 q^{75} - 18 q^{76} + 48 q^{77} - 12 q^{78} - 12 q^{79} + 12 q^{82} + 18 q^{83} - 6 q^{84} + 84 q^{85} + 6 q^{86} - 24 q^{89} + 6 q^{90} + 48 q^{91} + 6 q^{92} + 48 q^{93} - 18 q^{94} - 120 q^{95} + 30 q^{97} + 60 q^{98} + 6 q^{99}+O(q^{100}) $ 72 * q - 6 * q^7 + 6 * q^10 + 6 * q^11 - 36 * q^12 + 30 * q^13 - 12 * q^14 + 18 * q^17 + 54 * q^19 - 12 * q^21 + 12 * q^22 - 6 * q^23 + 24 * q^25 + 18 * q^26 + 36 * q^27 + 6 * q^28 - 12 * q^31 - 6 * q^33 + 6 * q^34 - 24 * q^35 + 18 * q^37 - 24 * q^38 - 6 * q^40 + 18 * q^42 + 6 * q^43 - 6 * q^44 + 18 * q^46 - 18 * q^47 + 12 * q^49 + 42 * q^52 - 12 * q^53 - 30 * q^55 + 18 * q^56 + 6 * q^57 - 78 * q^59 - 42 * q^61 - 12 * q^62 - 6 * q^63 + 36 * q^64 - 6 * q^66 - 6 * q^67 + 6 * q^69 - 54 * q^70 + 6 * q^71 + 12 * q^73 - 6 * q^75 - 18 * q^76 + 48 * q^77 - 12 * q^78 - 12 * q^79 + 12 * q^82 + 18 * q^83 - 6 * q^84 + 84 * q^85 + 6 * q^86 - 24 * q^89 + 6 * q^90 + 48 * q^91 + 6 * q^92 + 48 * q^93 - 18 * q^94 - 120 * q^95 + 30 * q^97 + 60 * q^98 + 6 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/798\mathbb{Z}\right)^\times$.

$n$	$115$	$211$	$533$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{7}{18}\right)$	$1$

Coefficient data

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

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

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

$2$	0.642788	−	0.766044i	0.454519	−	0.541675i
$2$	0.642788	−	0.766044i	0.454519	−	0.541675i
$3$	−0.766044	−	0.642788i	−0.442276	−	0.371114i
$3$	−0.766044	−	0.642788i	−0.442276	−	0.371114i
$4$	−0.173648	−	0.984808i	−0.0868241	−	0.492404i
$5$	−3.36851	−	0.593959i	−1.50644	−	0.265626i	−0.641354	−	0.767245i	$-0.721627\pi$
$5$	−3.36851	−	0.593959i	−1.50644	−	0.265626i	−0.865089	+	0.501619i	$0.832738\pi$
$6$	−0.984808	+	0.173648i	−0.402046	+	0.0708916i
$7$	1.61146	+	2.09838i	0.609074	+	0.793113i
$7$	1.61146	+	2.09838i	0.609074	+	0.793113i
$8$	−0.866025	−	0.500000i	−0.306186	−	0.176777i
$9$	0.173648	+	0.984808i	0.0578827	+	0.328269i
$10$	−2.62023	+	2.19864i	−0.828591	+	0.695270i
$11$	2.24004	+	3.87986i	0.675397	+	1.16982i	0.976353	+	0.216184i	$0.0693612\pi$
$11$	2.24004	+	3.87986i	0.675397	+	1.16982i	−0.300955	+	0.953638i	$0.597305\pi$
$12$	−0.500000	+	0.866025i	−0.144338	+	0.250000i
$13$	0.401240	+	2.27555i	0.111284	+	0.631123i	0.988523	+	0.151070i	$0.0482718\pi$
$13$	0.401240	+	2.27555i	0.111284	+	0.631123i	−0.877239	+	0.480054i	$0.840617\pi$
$14$	2.64328	+	0.114363i	0.706446	+	0.0305648i
$15$	2.19864	+	2.62023i	0.567686	+	0.676541i
$16$	−0.939693	+	0.342020i	−0.234923	+	0.0855050i
$17$	−3.08808	−	0.544513i	−0.748971	−	0.132064i	−0.213882	−	0.976860i	$-0.568611\pi$
$17$	−3.08808	−	0.544513i	−0.748971	−	0.132064i	−0.535089	+	0.844796i	$0.679722\pi$
$18$	0.866025	+	0.500000i	0.204124	+	0.117851i
$19$	3.50971	−	2.58494i	0.805184	−	0.593026i
$19$	3.50971	−	2.58494i	0.805184	−	0.593026i
$20$			3.42047i			0.764841i
$21$	0.114363	−	2.64328i	0.0249560	−	0.576811i
$22$	4.41202	+	0.777958i	0.940645	+	0.165861i
$23$	2.02738	+	0.737907i	0.422739	+	0.153864i	0.544625	−	0.838680i	$-0.316672\pi$
$23$	2.02738	+	0.737907i	0.422739	+	0.153864i	−0.121886	+	0.992544i	$0.538894\pi$
$24$	0.342020	+	0.939693i	0.0698146	+	0.191814i
$25$	6.29559	+	2.29141i	1.25912	+	0.458282i
$26$	2.00108	+	1.15533i	0.392445	+	0.226578i
$27$	0.500000	−	0.866025i	0.0962250	−	0.166667i
$28$	1.78667	−	1.95136i	0.337650	−	0.368772i
$29$	−2.23164	+	6.13137i	−0.414405	+	1.13857i	0.540420	+	0.841396i	$0.318266\pi$
$29$	−2.23164	+	6.13137i	−0.414405	+	1.13857i	−0.954824	+	0.297172i	$0.903957\pi$
$30$	3.42047			0.624490
$31$	2.27085			0.407857			0.203929	−	0.978986i	$-0.434629\pi$
$31$	2.27085			0.407857			0.203929	+	0.978986i	$0.434629\pi$
$32$	−0.342020	+	0.939693i	−0.0604612	+	0.166116i
$33$	0.777958	−	4.41202i	0.135425	−	0.768034i
$34$	−2.40210	+	2.01560i	−0.411957	+	0.345673i
$35$	−4.18186	−	8.02555i	−0.706864	−	1.35657i
$36$	0.939693	−	0.342020i	0.156615	−	0.0570034i
$37$	4.14341	−	2.39220i	0.681173	−	0.393275i	−0.119124	−	0.992879i	$-0.538009\pi$
$37$	4.14341	−	2.39220i	0.681173	−	0.393275i	0.800297	+	0.599604i	$0.204675\pi$
$38$	0.275823	−	4.35016i	0.0447443	−	0.705690i
$39$	1.15533	−	2.00108i	0.185000	−	0.320430i
$40$	2.62023	+	2.19864i	0.414295	+	0.347635i
$41$	1.06797	−	6.05677i	0.166789	−	0.945908i	−0.780411	−	0.625266i	$-0.784990\pi$
$41$	1.06797	−	6.05677i	0.166789	−	0.945908i	0.947201	−	0.320642i	$-0.103899\pi$
$42$	−1.95136	−	1.78667i	−0.301101	−	0.275690i
$43$	7.43014	+	6.23463i	1.13309	+	0.950771i	0.999191	−	0.0402242i	$-0.0128072\pi$
$43$	7.43014	+	6.23463i	1.13309	+	0.950771i	0.133895	+	0.990996i	$0.457252\pi$
$44$	3.43194	−	2.87974i	0.517384	−	0.434137i
$45$		−	3.42047i		−	0.509894i
$46$	1.86845	−	1.07875i	0.275487	−	0.159053i
$47$	6.27330	−	1.10615i	0.915055	−	0.161349i	0.303757	−	0.952750i	$-0.401759\pi$
$47$	6.27330	−	1.10615i	0.915055	−	0.161349i	0.611298	+	0.791401i	$0.290648\pi$
$48$	0.939693	+	0.342020i	0.135633	+	0.0493664i
$49$	−1.80640	+	6.76291i	−0.258057	+	0.966130i
$50$	5.80205	−	3.34981i	0.820534	−	0.473735i
$51$	2.01560	+	2.40210i	0.282241	+	0.336362i
$52$	2.17130	−	0.790289i	0.301105	−	0.109593i
$53$	−2.33226	+	0.411240i	−0.320360	+	0.0564882i	−0.331516	−	0.943450i	$-0.607560\pi$
$53$	−2.33226	+	0.411240i	−0.320360	+	0.0564882i	0.0111556	+	0.999938i	$0.496449\pi$
$54$	−0.342020	−	0.939693i	−0.0465430	−	0.127876i
$55$	−5.24111	−	14.3998i	−0.706711	−	1.94167i
$56$	−0.346375	−	2.62298i	−0.0462863	−	0.350510i
$57$	−4.35016	−	0.275823i	−0.576193	−	0.0365336i
$58$	3.26243	+	5.65070i	0.428379	+	0.741974i
$59$	−1.81484	+	10.2925i	−0.236272	+	1.33996i	0.603647	+	0.797252i	$0.293714\pi$
$59$	−1.81484	+	10.2925i	−0.236272	+	1.33996i	−0.839919	+	0.542712i	$0.817397\pi$
$60$	2.19864	−	2.62023i	0.283843	−	0.338271i
$61$	−3.17294	+	8.71759i	−0.406254	+	1.11617i	0.552890	+	0.833254i	$0.313525\pi$
$61$	−3.17294	+	8.71759i	−0.406254	+	1.11617i	−0.959144	+	0.282919i	$0.908697\pi$
$62$	1.45968	−	1.73958i	0.185379	−	0.220926i
$63$	−1.78667	+	1.95136i	−0.225100	+	0.245848i
$64$	0.500000	+	0.866025i	0.0625000	+	0.108253i
$65$		−	7.90352i		−	0.980311i
$66$	−2.87974	−	3.43194i	−0.354471	−	0.422443i
$67$	7.18658	+	8.56463i	0.877981	+	1.04634i	0.998561	+	0.0536330i	$0.0170801\pi$
$67$	7.18658	+	8.56463i	0.877981	+	1.04634i	−0.120580	+	0.992704i	$0.538475\pi$
$68$			3.13572i			0.380262i
$69$	−1.07875	−	1.86845i	−0.129866	−	0.224934i
$70$	−8.83598	−	1.95523i	−1.05610	−	0.233695i
$71$	−8.04193	+	9.58400i	−0.954402	+	1.13741i	0.0360219	+	0.999351i	$0.488531\pi$
$71$	−8.04193	+	9.58400i	−0.954402	+	1.13741i	−0.990424	+	0.138061i	$0.955913\pi$
$72$	0.342020	−	0.939693i	0.0403075	−	0.110744i
$73$	−5.29958	+	6.31580i	−0.620269	+	0.739208i	−0.981117	−	0.193417i	$-0.938043\pi$
$73$	−5.29958	+	6.31580i	−0.620269	+	0.739208i	0.360847	+	0.932625i	$0.382487\pi$
$74$	0.830802	−	4.71171i	0.0965788	−	0.547726i
$75$	−3.34981	−	5.80205i	−0.386803	−	0.669963i
$76$	−3.15512	−	3.00752i	−0.361917	−	0.344987i
$77$	−4.53169	+	10.9527i	−0.516434	+	1.24818i
$78$	−0.790289	−	2.17130i	−0.0894827	−	0.245852i
$79$	−4.87408	−	13.3914i	−0.548377	−	1.50665i	−0.835902	−	0.548879i	$-0.815055\pi$
$79$	−4.87408	−	13.3914i	−0.548377	−	1.50665i	0.287525	−	0.957773i	$-0.407168\pi$
$80$	3.36851	−	0.593959i	0.376611	−	0.0664066i
$81$	−0.939693	+	0.342020i	−0.104410	+	0.0380022i
$82$	−3.95327	−	4.71133i	−0.436566	−	0.520279i
$83$	−3.61001	+	2.08424i	−0.396250	+	0.228775i	−0.684864	−	0.728670i	$-0.740139\pi$
$83$	−3.61001	+	2.08424i	−0.396250	+	0.228775i	0.288615	+	0.957445i	$0.406805\pi$
$84$	−2.62298	+	0.346375i	−0.286191	+	0.0377926i
$85$	10.0788	+	3.66839i	1.09320	+	0.397893i
$86$	9.55200	−	1.68428i	1.03002	−	0.181620i
$87$	5.65070	−	3.26243i	0.605819	−	0.349770i
$88$		−	4.48008i		−	0.477578i
$89$	6.25624	−	5.24961i	0.663160	−	0.556458i	−0.247872	−	0.968793i	$-0.579731\pi$
$89$	6.25624	−	5.24961i	0.663160	−	0.556458i	0.911032	+	0.412335i	$0.135287\pi$
$90$	−2.62023	−	2.19864i	−0.276197	−	0.231757i
$91$	−4.12838	+	4.50891i	−0.432772	+	0.472662i
$92$	0.374645	−	2.12472i	0.0390595	−	0.221517i
$93$	−1.73958	−	1.45968i	−0.180386	−	0.151361i
$94$	3.18504	−	5.51665i	0.328512	−	0.568999i
$95$	−13.3578	+	6.62276i	−1.37049	+	0.679481i
$96$	0.866025	−	0.500000i	0.0883883	−	0.0510310i
$97$	13.1092	−	4.77137i	1.33104	−	0.484459i	0.424061	−	0.905634i	$-0.360604\pi$
$97$	13.1092	−	4.77137i	1.33104	−	0.484459i	0.906980	+	0.421174i	$0.138382\pi$
$98$	4.01956	+	5.73089i	0.406037	+	0.578908i
$99$	−3.43194	+	2.87974i	−0.344923	+	0.289425i
$100$	1.16338	−	6.59785i	0.116338	−	0.659785i
$101$	−3.33987	+	9.17623i	−0.332330	+	0.913069i	0.655175	+	0.755477i	$0.272595\pi$
$101$	−3.33987	+	9.17623i	−0.332330	+	0.913069i	−0.987504	+	0.157591i	$0.949627\pi$
$102$	3.13572			0.310483
$103$	−18.7798			−1.85043			−0.925213	−	0.379449i	$-0.876114\pi$
$103$	−18.7798			−1.85043			−0.925213	+	0.379449i	$0.876114\pi$
$104$	0.790289	−	2.17130i	0.0774943	−	0.212914i
$105$	−1.95523	+	8.83598i	−0.190811	+	0.862303i
$106$	−1.18412	+	2.05095i	−0.115012	+	0.199206i
$107$	−0.0663024	−	0.0382797i	−0.00640969	−	0.00370064i	0.496792	−	0.867870i	$-0.334511\pi$
$107$	−0.0663024	−	0.0382797i	−0.00640969	−	0.00370064i	−0.503201	+	0.864169i	$0.667845\pi$
$108$	−0.939693	−	0.342020i	−0.0904220	−	0.0329109i
$109$	−0.203343	−	0.558679i	−0.0194767	−	0.0535118i	0.929573	−	0.368637i	$-0.120176\pi$
$109$	−0.203343	−	0.558679i	−0.0194767	−	0.0535118i	−0.949050	+	0.315126i	$0.897953\pi$
$110$	−14.3998	−	5.24111i	−1.37297	−	0.499720i
$111$	−4.71171	−	0.830802i	−0.447216	−	0.0788563i
$112$	−2.23196	−	1.42068i	−0.210901	−	0.134242i
$113$		−	0.279935i		−	0.0263341i	−0.999913	−	0.0131671i	$-0.995809\pi$
$113$		−	0.279935i		−	0.0263341i	0.999913	−	0.0131671i	$-0.00419132\pi$
$114$	−3.00752	+	3.15512i	−0.281680	+	0.295504i
$115$	−6.39097	−	3.68983i	−0.595961	−	0.344078i
$116$	6.42574	+	1.13303i	0.596615	+	0.105199i
$117$	−2.17130	+	0.790289i	−0.200737	+	0.0730623i
$118$	6.71792	+	8.00611i	0.618435	+	0.737022i
$119$	−3.83373	−	7.35744i	−0.351437	−	0.674455i
$120$	−0.593959	−	3.36851i	−0.0542208	−	0.307501i
$121$	−4.53556	+	7.85582i	−0.412323	+	0.714165i
$122$	4.63854	+	8.03418i	0.419953	+	0.727380i
$123$	−4.71133	+	3.95327i	−0.424806	+	0.356455i
$124$	−0.394330	−	2.23636i	−0.0354119	−	0.200831i
$125$	−5.03467	−	2.90677i	−0.450315	−	0.259989i
$126$	0.346375	+	2.62298i	0.0308575	+	0.233674i
$127$	−0.195270	+	0.0344314i	−0.0173274	+	0.00305529i	−0.182305	−	0.983242i	$-0.558356\pi$
$127$	−0.195270	+	0.0344314i	−0.0173274	+	0.00305529i	0.164978	+	0.986297i	$0.447245\pi$
$128$	0.984808	+	0.173648i	0.0870455	+	0.0153485i
$129$	−1.68428	−	9.55200i	−0.148292	−	0.841007i
$130$	−6.05445	−	5.08029i	−0.531010	−	0.445570i
$131$	9.35964	−	11.1544i	0.817755	−	0.974563i	−0.182207	−	0.983260i	$-0.558324\pi$
$131$	9.35964	−	11.1544i	0.817755	−	0.974563i	0.999962	+	0.00869723i	$0.00276845\pi$
$132$	−4.48008			−0.389941
$133$	11.0799	+	3.19919i	0.960753	+	0.277405i
$134$	11.1803			0.965834
$135$	−2.19864	+	2.62023i	−0.189229	+	0.225514i
$136$	2.40210	+	2.01560i	0.205979	+	0.172837i
$137$	0.0196188	+	0.111264i	0.00167615	+	0.00950589i	0.985634	−	0.168893i	$-0.0540193\pi$
$137$	0.0196188	+	0.111264i	0.00167615	+	0.00950589i	−0.983958	+	0.178399i	$0.942908\pi$
$138$	−2.12472	−	0.374645i	−0.180868	−	0.0318919i
$139$	−21.0181	+	3.70606i	−1.78273	+	0.314344i	−0.965195	−	0.261531i	$-0.915773\pi$
$139$	−21.0181	+	3.70606i	−1.78273	+	0.314344i	−0.817538	+	0.575875i	$0.804662\pi$
$140$	−7.17745	+	5.51195i	−0.606605	+	0.465845i
$141$	−5.51665	−	3.18504i	−0.464585	−	0.268229i
$142$	2.17252	+	12.3210i	0.182314	+	1.03395i
$143$	−7.93002	+	6.65408i	−0.663142	+	0.556442i
$144$	−0.500000	−	0.866025i	−0.0416667	−	0.0721688i
$145$	11.1591	−	19.3281i	0.926710	−	1.60511i
$146$	1.43167	+	8.11943i	0.118486	+	0.671969i
$147$	5.73089	−	4.01956i	0.472676	−	0.331528i
$148$	−3.07535	−	3.66506i	−0.252792	−	0.301266i
$149$	11.9786	−	4.35984i	0.981322	−	0.357172i	0.198968	−	0.980006i	$-0.436241\pi$
$149$	11.9786	−	4.35984i	0.981322	−	0.357172i	0.782354	+	0.622834i	$0.214019\pi$
$150$	−6.59785	−	1.16338i	−0.538712	−	0.0949895i
$151$	−1.13342	−	0.654382i	−0.0922367	−	0.0532529i	0.453172	−	0.891423i	$-0.350292\pi$
$151$	−1.13342	−	0.654382i	−0.0922367	−	0.0532529i	−0.545409	+	0.838170i	$0.683626\pi$
$152$	−4.33197	+	0.483766i	−0.351369	+	0.0392386i
$153$		−	3.13572i		−	0.253508i
$154$	5.47734	+	10.5117i	0.441376	+	0.847060i
$155$	−7.64939	−	1.34879i	−0.614414	−	0.108338i
$156$	−2.17130	−	0.790289i	−0.173843	−	0.0632738i
$157$	6.92750	+	19.0332i	0.552875	+	1.51901i	0.829767	+	0.558111i	$0.188474\pi$
$157$	6.92750	+	19.0332i	0.552875	+	1.51901i	−0.276891	+	0.960901i	$0.589304\pi$
$158$	−13.3914	−	4.87408i	−1.06536	−	0.387761i
$159$	2.05095	+	1.18412i	0.162651	+	0.0939068i
$160$	1.71024	−	2.96222i	0.135206	−	0.234184i
$161$	1.71864	+	5.44333i	0.135448	+	0.428994i
$162$	−0.342020	+	0.939693i	−0.0268716	+	0.0738292i
$163$	17.0398			1.33466			0.667332	−	0.744761i	$-0.267436\pi$
$163$	17.0398			1.33466			0.667332	+	0.744761i	$0.267436\pi$
$164$	−6.15020			−0.480250
$165$	−5.24111	+	14.3998i	−0.408020	+	1.12103i
$166$	−0.723848	+	4.10515i	−0.0561815	+	0.318621i
$167$	12.0492	−	10.1105i	0.932398	−	0.782375i	−0.0438486	−	0.999038i	$-0.513962\pi$
$167$	12.0492	−	10.1105i	0.932398	−	0.782375i	0.976246	+	0.216664i	$0.0695175\pi$
$168$	−1.42068	+	2.23196i	−0.109608	+	0.172200i
$169$	7.19888	−	2.62018i	0.553760	−	0.201552i
$170$	9.28869	−	5.36283i	0.712410	−	0.411310i
$171$	3.15512	+	3.00752i	0.241278	+	0.229991i
$172$	4.84968	−	8.39989i	0.369784	−	0.640485i
$173$	−10.2200	−	8.57561i	−0.777013	−	0.651992i	0.165481	−	0.986213i	$-0.447082\pi$
$173$	−10.2200	−	8.57561i	−0.777013	−	0.651992i	−0.942495	+	0.334221i	$0.891527\pi$
$174$	1.13303	−	6.42574i	0.0858949	−	0.487134i
$175$	5.33685	+	16.9031i	0.403428	+	1.27775i
$176$	−3.43194	−	2.87974i	−0.258692	−	0.217069i
$177$	8.00611	−	6.71792i	0.601776	−	0.504950i
$178$		−	8.16695i		−	0.612138i
$179$	−10.3419	+	5.97091i	−0.772992	+	0.446287i	−0.833941	−	0.551854i	$-0.813921\pi$
$179$	−10.3419	+	5.97091i	−0.772992	+	0.446287i	0.0609489	+	0.998141i	$0.480587\pi$
$180$	−3.36851	+	0.593959i	−0.251074	+	0.0442711i
$181$	16.6887	+	6.07418i	1.24046	+	0.451491i	0.877168	−	0.480184i	$-0.159430\pi$
$181$	16.6887	+	6.07418i	1.24046	+	0.451491i	0.363293	+	0.931675i	$0.381652\pi$
$182$	0.800352	+	6.06079i	0.0593260	+	0.449256i
$183$	8.03418	−	4.63854i	0.593904	−	0.342890i
$184$	−1.38681	−	1.65274i	−0.102237	−	0.121841i
$185$	−15.3780	+	5.59713i	−1.13061	+	0.411509i
$186$	−2.23636	+	0.394330i	−0.163978	+	0.0289137i
$187$	−4.80480	−	13.2011i	−0.351362	−	0.965358i
$188$	−2.17869	−	5.98591i	−0.158898	−	0.436567i
$189$	2.62298	−	0.346375i	0.190794	−	0.0251951i
$190$	−3.51293	+	14.4897i	−0.254855	+	1.05120i
$191$	−3.76891	−	6.52794i	−0.272709	−	0.472345i	0.696846	−	0.717221i	$-0.254586\pi$
$191$	−3.76891	−	6.52794i	−0.272709	−	0.472345i	−0.969554	+	0.244876i	$0.921253\pi$
$192$	0.173648	−	0.984808i	0.0125320	−	0.0710724i
$193$	1.42913	−	1.70317i	0.102871	−	0.122597i	−0.712152	−	0.702025i	$-0.752280\pi$
$193$	1.42913	−	1.70317i	0.102871	−	0.122597i	0.815023	+	0.579428i	$0.196724\pi$
$194$	4.77137	−	13.1092i	0.342564	−	0.941188i
$195$	−5.08029	+	6.05445i	−0.363807	+	0.433568i
$196$	6.97384	+	0.604586i	0.498132	+	0.0431847i
$197$	−9.43178	−	16.3363i	−0.671986	−	1.16391i	−0.977340	−	0.211675i	$-0.932108\pi$
$197$	−9.43178	−	16.3363i	−0.671986	−	1.16391i	0.305354	−	0.952239i	$-0.401225\pi$
$198$			4.48008i			0.318385i
$199$	3.87299	+	4.61565i	0.274549	+	0.327195i	0.885646	−	0.464361i	$-0.153716\pi$
$199$	3.87299	+	4.61565i	0.274549	+	0.327195i	−0.611097	+	0.791556i	$0.709272\pi$
$200$	−4.30644	−	5.13221i	−0.304511	−	0.362902i
$201$		−	11.1803i		−	0.788600i
$202$	4.88257	+	8.45686i	0.343536	+	0.595022i
$203$	−16.4621	+	5.19764i	−1.15542	+	0.364803i
$204$	2.01560	−	2.40210i	0.141121	−	0.168181i
$205$	−7.19494	+	19.7679i	−0.502516	+	1.38065i
$206$	−12.0714	+	14.3861i	−0.841055	+	1.00233i
$207$	−0.374645	+	2.12472i	−0.0260396	+	0.147678i
$208$	−1.15533	−	2.00108i	−0.0801074	−	0.138750i
$209$	17.8911	+	7.82684i	1.23755	+	0.541394i
$210$	5.51195	+	7.17745i	0.380361	+	0.495291i
$211$	−7.61734	−	20.9285i	−0.524399	−	1.44077i	−0.865577	−	0.500776i	$-0.833048\pi$
$211$	−7.61734	−	20.9285i	−0.524399	−	1.44077i	0.341178	−	0.939999i	$-0.389174\pi$
$212$	0.809985	+	2.22542i	0.0556300	+	0.152842i
$213$	12.3210	−	2.17252i	0.844218	−	0.148858i
$214$	−0.0719423	+	0.0261849i	−0.00491787	+	0.00178996i
$215$	−21.3254	−	25.4146i	−1.45438	−	1.73326i
$216$	−0.866025	+	0.500000i	−0.0589256	+	0.0340207i
$217$	3.65939	+	4.76512i	0.248416	+	0.323477i
$218$	−0.558679	−	0.203343i	−0.0378385	−	0.0137721i
$219$	8.11943	−	1.43167i	0.548660	−	0.0967436i
$220$	−13.2710	+	7.66199i	−0.894728	+	0.516572i
$221$		−	7.24557i		−	0.487389i
$222$	−3.66506	+	3.07535i	−0.245983	+	0.206404i
$223$	−2.65562	−	2.22833i	−0.177833	−	0.149220i	0.549526	−	0.835476i	$-0.314808\pi$
$223$	−2.65562	−	2.22833i	−0.177833	−	0.149220i	−0.727359	+	0.686257i	$0.759253\pi$
$224$	−2.52298	+	0.796588i	−0.168574	+	0.0532243i
$225$	−1.16338	+	6.59785i	−0.0775586	+	0.439856i
$226$	−0.214443	−	0.179939i	−0.0142645	−	0.0119694i
$227$	7.52857	−	13.0399i	0.499689	−	0.865486i	−0.500311	−	0.865846i	$-0.666781\pi$
$227$	7.52857	−	13.0399i	0.499689	−	0.865486i	1.00000		0.000359276i	$0.000114361\pi$
$228$	0.483766	+	4.33197i	0.0320382	+	0.286892i
$229$	−21.8870	+	12.6365i	−1.44633	+	0.835041i	−0.998261	−	0.0589561i	$-0.981223\pi$
$229$	−21.8870	+	12.6365i	−1.44633	+	0.835041i	−0.448073	+	0.893997i	$0.647889\pi$
$230$	−6.93461	+	2.52399i	−0.457254	+	0.166427i
$231$	10.5117	−	5.47734i	0.691621	−	0.360382i
$232$	4.99834	−	4.19411i	0.328157	−	0.275357i
$233$	2.81259	−	15.9510i	0.184259	−	1.04498i	−0.742645	−	0.669686i	$-0.766429\pi$
$233$	2.81259	−	15.9510i	0.184259	−	1.04498i	0.926904	−	0.375299i	$-0.122460\pi$
$234$	−0.790289	+	2.17130i	−0.0516628	+	0.141942i
$235$	−21.7887			−1.42134
$236$	10.4512			0.680317
$237$	−4.87408	+	13.3914i	−0.316605	+	0.869866i
$238$	−8.10040	−	1.79246i	−0.525071	−	0.116188i
$239$	−11.0023	+	19.0565i	−0.711677	+	1.23266i	0.252550	+	0.967584i	$0.418731\pi$
$239$	−11.0023	+	19.0565i	−0.711677	+	1.23266i	−0.964227	+	0.265077i	$0.914603\pi$
$240$	−2.96222	−	1.71024i	−0.191210	−	0.110395i
$241$	−20.1655	−	7.33964i	−1.29897	−	0.472788i	−0.402311	−	0.915503i	$-0.631793\pi$
$241$	−20.1655	−	7.33964i	−1.29897	−	0.472788i	−0.896662	+	0.442716i	$0.854015\pi$
$242$	3.10250	+	8.52406i	0.199437	+	0.547947i
$243$	0.939693	+	0.342020i	0.0602813	+	0.0219406i
$244$	9.13613	+	1.61095i	0.584881	+	0.103130i
$245$	10.1017	−	21.7080i	0.645377	−	1.38687i
$246$			6.15020i			0.392123i
$247$	7.29039	+	6.94934i	0.463876	+	0.442176i
$248$	−1.96662	−	1.13543i	−0.124880	−	0.0720997i
$249$	4.10515	+	0.723848i	0.260153	+	0.0458720i
$250$	−5.46294	+	1.98835i	−0.345506	+	0.125754i
$251$	−10.0348	−	11.9590i	−0.633392	−	0.754847i	0.349919	−	0.936780i	$-0.386209\pi$
$251$	−10.0348	−	11.9590i	−0.633392	−	0.754847i	−0.983311	+	0.181933i	$0.941765\pi$
$252$	2.23196	+	1.42068i	0.140601	+	0.0894945i
$253$	1.67844	+	9.51891i	0.105523	+	0.598449i
$254$	−0.0991413	+	0.171718i	−0.00622068	+	0.0107745i
$255$	−5.36283	−	9.28869i	−0.335833	−	0.581680i
$256$	0.766044	−	0.642788i	0.0478778	−	0.0401742i
$257$	3.45044	+	19.5684i	0.215232	+	1.22064i	0.880503	+	0.474041i	$0.157205\pi$
$257$	3.45044	+	19.5684i	0.215232	+	1.22064i	−0.665270	+	0.746603i	$0.731684\pi$
$258$	−8.39989	−	4.84968i	−0.522954	−	0.301928i
$259$	11.6967	+	4.83952i	0.726797	+	0.300713i
$260$	−7.78345	+	1.37243i	−0.482709	+	0.0851146i
$261$	−6.42574	−	1.13303i	−0.397743	−	0.0701329i
$262$	−2.52849	−	14.3398i	−0.156211	−	0.885916i
$263$	−12.8877	−	10.8141i	−0.794693	−	0.666826i	0.152209	−	0.988348i	$-0.451361\pi$
$263$	−12.8877	−	10.8141i	−0.794693	−	0.666826i	−0.946902	+	0.321522i	$0.895806\pi$
$264$	−2.87974	+	3.43194i	−0.177236	+	0.211221i
$265$	8.10049			0.497609
$266$	9.57277	−	6.43133i	0.586944	−	0.394330i
$267$	−8.16695			−0.499809
$268$	7.18658	−	8.56463i	0.438990	−	0.523168i
$269$	4.64286	+	3.89582i	0.283080	+	0.237532i	0.773260	−	0.634089i	$-0.218625\pi$
$269$	4.64286	+	3.89582i	0.283080	+	0.237532i	−0.490180	+	0.871621i	$0.663069\pi$
$270$	0.593959	+	3.36851i	0.0361472	+	0.205001i
$271$	21.3077	+	3.75712i	1.29435	+	0.228228i	0.778062	−	0.628188i	$-0.216203\pi$
$271$	21.3077	+	3.75712i	1.29435	+	0.228228i	0.516286	+	0.856416i	$0.327314\pi$
$272$	3.08808	−	0.544513i	0.187243	−	0.0330159i
$273$	6.06079	−	0.800352i	0.366816	−	0.0484395i
$274$	0.0978436	+	0.0564900i	0.00591095	+	0.00341269i
$275$	5.21203	+	29.5589i	0.314297	+	1.78247i
$276$	−1.65274	+	1.38681i	−0.0994831	+	0.0834762i
$277$	3.12782	+	5.41754i	0.187932	+	0.325508i	0.944561	−	0.328337i	$-0.106488\pi$
$277$	3.12782	+	5.41754i	0.187932	+	0.325508i	−0.756628	+	0.653845i	$0.773155\pi$
$278$	−10.6712	+	18.4830i	−0.640015	+	1.10854i
$279$	0.394330	+	2.23636i	0.0236079	+	0.133887i
$280$	−0.391175	+	9.04126i	−0.0233772	+	0.540319i
$281$	3.63508	+	4.33211i	0.216850	+	0.258432i	0.863493	−	0.504361i	$-0.168272\pi$
$281$	3.63508	+	4.33211i	0.216850	+	0.258432i	−0.646643	+	0.762793i	$0.723827\pi$
$282$	−5.98591	+	2.17869i	−0.356456	+	0.129739i
$283$	−9.97502	−	1.75887i	−0.592954	−	0.104554i	−0.130884	−	0.991398i	$-0.541782\pi$
$283$	−9.97502	−	1.75887i	−0.592954	−	0.104554i	−0.462069	+	0.886844i	$0.652893\pi$
$284$	10.8349	+	6.25551i	0.642931	+	0.371196i
$285$	14.4897	+	3.51293i	0.858298	+	0.208088i
$286$			10.3519i			0.612121i
$287$	14.4304	−	7.51922i	0.851799	−	0.443846i
$288$	−0.984808	−	0.173648i	−0.0580304	−	0.0102323i
$289$	−6.73500	−	2.45134i	−0.396176	−	0.144196i
$290$	−7.63325	−	20.9722i	−0.448240	−	1.23153i
$291$	−13.1092	−	4.77137i	−0.768477	−	0.279703i
$292$	7.14011	+	4.12234i	0.417843	+	0.241242i
$293$	7.52935	−	13.0412i	0.439869	−	0.761876i	−0.557810	−	0.829969i	$-0.688358\pi$
$293$	7.52935	−	13.0412i	0.439869	−	0.761876i	0.997679	+	0.0680931i	$0.0216915\pi$
$294$	0.604586	−	6.97384i	0.0352602	−	0.406723i
$295$	12.2266	−	33.5923i	0.711860	−	1.95582i
$296$	−4.78440			−0.278088
$297$	4.48008			0.259961
$298$	4.35984	−	11.9786i	0.252559	−	0.693900i
$299$	−0.865675	+	4.90948i	−0.0500633	+	0.283923i
$300$	−5.13221	+	4.30644i	−0.296309	+	0.248632i
$301$	−1.10925	+	25.6381i	−0.0639359	+	1.47776i
$302$	−1.22984	+	0.447624i	−0.0707691	+	0.0257579i
$303$	8.45686	−	4.88257i	0.485834	−	0.280496i
$304$	−2.41395	+	3.62944i	−0.138450	+	0.208163i
$305$	15.8660	−	27.4807i	0.908483	−	1.57354i
$306$	−2.40210	−	2.01560i	−0.137319	−	0.115224i
$307$	0.994210	−	5.63844i	0.0567425	−	0.321803i	−0.943203	−	0.332216i	$-0.892204\pi$
$307$	0.994210	−	5.63844i	0.0567425	−	0.321803i	0.999946	+	0.0104133i	$0.00331472\pi$
$308$	11.5732	+	2.56093i	0.659445	+	0.145923i
$309$	14.3861	+	12.0714i	0.818399	+	0.686718i
$310$	−5.95017	+	4.99278i	−0.337947	+	0.283571i
$311$			21.4614i			1.21696i	0.793568	+	0.608482i	$0.208221\pi$
$311$			21.4614i			1.21696i	−0.793568	+	0.608482i	$0.791779\pi$
$312$	−2.00108	+	1.15533i	−0.113289	+	0.0654075i
$313$	3.43241	−	0.605226i	0.194011	−	0.0342094i	−0.0757981	−	0.997123i	$-0.524150\pi$
$313$	3.43241	−	0.605226i	0.194011	−	0.0342094i	0.269809	+	0.962914i	$0.413039\pi$
$314$	19.0332	+	6.92750i	1.07410	+	0.390942i
$315$	7.17745	−	5.51195i	0.404403	−	0.310563i
$316$	−12.3416	+	7.12543i	−0.694269	+	0.400837i
$317$	15.8819	+	18.9273i	0.892016	+	1.06306i	0.997640	+	0.0686569i	$0.0218714\pi$
$317$	15.8819	+	18.9273i	0.892016	+	1.06306i	−0.105625	+	0.994406i	$0.533684\pi$
$318$	2.22542	−	0.809985i	0.124795	−	0.0454217i
$319$	−28.7878	+	5.07607i	−1.61181	+	0.284206i
$320$	−1.16987	−	3.21419i	−0.0653977	−	0.179679i
$321$	0.0261849	+	0.0719423i	0.00146150	+	0.00401543i
$322$	5.27455	+	2.18235i	0.293939	+	0.121618i
$323$	−12.2458	+	6.07143i	−0.681376	+	0.337823i
$324$	0.500000	+	0.866025i	0.0277778	+	0.0481125i
$325$	−2.68816	+	15.2453i	−0.149112	+	0.845659i
$326$	10.9530	−	13.0533i	0.606631	−	0.722954i
$327$	−0.203343	+	0.558679i	−0.0112449	+	0.0308950i
$328$	−3.95327	+	4.71133i	−0.218283	+	0.260140i
$329$	12.4303	+	11.3812i	0.685304	+	0.627468i
$330$	7.66199	+	13.2710i	0.421779	+	0.730542i
$331$		−	3.82435i		−	0.210206i	−0.994461	−	0.105103i	$-0.966483\pi$
$331$		−	3.82435i		−	0.210206i	0.994461	−	0.105103i	$-0.0335172\pi$
$332$	2.67944	+	3.19324i	0.147054	+	0.175252i
$333$	3.07535	+	3.66506i	0.168528	+	0.200844i
$334$		−	15.7292i		−	0.860661i
$335$	−19.1210	−	33.1186i	−1.04469	−	1.80946i
$336$	0.796588	+	2.52298i	0.0434575	+	0.137640i
$337$	10.2094	−	12.1671i	0.556140	−	0.662782i	−0.412585	−	0.910919i	$-0.635374\pi$
$337$	10.2094	−	12.1671i	0.556140	−	0.662782i	0.968725	+	0.248137i	$0.0798183\pi$
$338$	2.62018	−	7.19888i	0.142519	−	0.391567i
$339$	−0.179939	+	0.214443i	−0.00977294	+	0.0116469i
$340$	1.86249	−	10.5627i	0.101008	−	0.572843i
$341$	5.08680	+	8.81060i	0.275466	+	0.477121i
$342$	4.33197	−	0.483766i	0.234246	−	0.0261591i
$343$	−17.1021	+	7.10765i	−0.923426	+	0.383777i
$344$	−3.31737	−	9.11441i	−0.178861	−	0.491416i
$345$	2.52399	+	6.93461i	0.135887	+	0.373347i
$346$	−13.1386	+	2.31669i	−0.706335	+	0.124546i
$347$	17.5160	−	6.37529i	0.940306	−	0.342243i	0.174019	−	0.984742i	$-0.444325\pi$
$347$	17.5160	−	6.37529i	0.940306	−	0.342243i	0.766287	+	0.642499i	$0.222102\pi$
$348$	−4.19411	−	4.99834i	−0.224828	−	0.267939i
$349$	−6.08025	+	3.51044i	−0.325468	+	0.187909i	−0.653827	−	0.756644i	$-0.726838\pi$
$349$	−6.08025	+	3.51044i	−0.325468	+	0.187909i	0.328359	+	0.944553i	$0.393504\pi$
$350$	16.3790	+	6.77681i	0.875492	+	0.362236i
$351$	2.17130	+	0.790289i	0.115896	+	0.0421825i
$352$	−4.41202	+	0.777958i	−0.235161	+	0.0414653i
$353$	7.93729	−	4.58260i	0.422459	−	0.243907i	−0.273670	−	0.961824i	$-0.588237\pi$
$353$	7.93729	−	4.58260i	0.422459	−	0.243907i	0.696129	+	0.717917i	$0.254904\pi$
$354$		−	10.4512i		−	0.555477i
$355$	32.7818	−	27.5072i	1.73988	−	1.45993i
$356$	−6.25624	−	5.24961i	−0.331580	−	0.278229i
$357$	−1.79246	+	8.10040i	−0.0948671	+	0.428718i
$358$	−2.07368	+	11.7604i	−0.109597	+	0.621557i
$359$	10.1457	+	8.51324i	0.535469	+	0.449312i	0.869985	−	0.493078i	$-0.164128\pi$
$359$	10.1457	+	8.51324i	0.535469	+	0.449312i	−0.334516	+	0.942390i	$0.608573\pi$
$360$	−1.71024	+	2.96222i	−0.0901374	+	0.156122i
$361$	5.63618	−	18.1448i	0.296641	−	0.954989i
$362$	15.3804	−	8.87986i	0.808375	−	0.466715i
$363$	8.52406	−	3.10250i	0.447397	−	0.162839i
$364$	5.15729	+	3.28270i	0.270316	+	0.172060i
$365$	21.6030	−	18.1271i	1.13075	−	0.948814i
$366$	1.61095	−	9.13613i	0.0842055	−	0.477553i
$367$	11.5736	−	31.7982i	0.604136	−	1.65985i	−0.138666	−	0.990339i	$-0.544281\pi$
$367$	11.5736	−	31.7982i	0.604136	−	1.65985i	0.742802	−	0.669511i	$-0.233496\pi$
$368$	−2.15750			−0.112467
$369$	6.15020			0.320167
$370$	−5.59713	+	15.3780i	−0.290981	+	0.799463i
$371$	−4.62128	−	4.23127i	−0.239925	−	0.219677i
$372$	−1.13543	+	1.96662i	−0.0588692	+	0.101964i
$373$	−17.0238	−	9.82870i	−0.881460	−	0.508911i	−0.0103202	−	0.999947i	$-0.503285\pi$
$373$	−17.0238	−	9.82870i	−0.881460	−	0.508911i	−0.871139	+	0.491036i	$0.836618\pi$
$374$	−13.2011	−	4.80480i	−0.682611	−	0.248450i
$375$	1.98835	+	5.46294i	0.102678	+	0.282105i
$376$	−5.98591	−	2.17869i	−0.308700	−	0.112358i
$377$	−14.8477	−	2.61804i	−0.764693	−	0.134836i
$378$	1.42068	−	2.23196i	0.0730719	−	0.114800i
$379$			19.3331i			0.993075i	0.868015	+	0.496537i	$0.165395\pi$
$379$			19.3331i			0.993075i	−0.868015	+	0.496537i	$0.834605\pi$
$380$	8.84171	+	12.0049i	0.453570	+	0.615837i
$381$	0.171718	+	0.0991413i	0.00879736	+	0.00507916i
$382$	−7.42330	−	1.30893i	−0.379809	−	0.0669706i
$383$	−15.9855	+	5.81825i	−0.816821	+	0.297298i	−0.716438	−	0.697650i	$-0.754229\pi$
$383$	−15.9855	+	5.81825i	−0.816821	+	0.297298i	−0.100383	+	0.994949i	$0.532007\pi$
$384$	−0.642788	−	0.766044i	−0.0328021	−	0.0390920i
$385$	21.7705	−	34.2026i	1.10953	−	1.74313i
$386$	−0.386077	−	2.18955i	−0.0196508	−	0.111445i
$387$	−4.84968	+	8.39989i	−0.246523	+	0.426990i
$388$	−6.97528	−	12.0815i	−0.354116	−	0.613347i
$389$	−1.02574	+	0.860698i	−0.0520071	+	0.0436391i	−0.668421	−	0.743783i	$-0.733029\pi$
$389$	−1.02574	+	0.860698i	−0.0520071	+	0.0436391i	0.616414	+	0.787423i	$0.288585\pi$
$390$	1.37243	+	7.78345i	0.0694958	+	0.394130i
$391$	−5.85893	−	3.38266i	−0.296299	−	0.171068i
$392$	4.94584	−	4.95365i	0.249803	−	0.250197i
$393$	−14.3398	+	2.52849i	−0.723347	+	0.127546i
$394$	−18.5770	−	3.27562i	−0.935894	−	0.165023i
$395$	8.46442	+	48.0041i	0.425891	+	2.41535i
$396$	3.43194	+	2.87974i	0.172461	+	0.144712i
$397$	0.264980	−	0.315791i	0.0132990	−	0.0158491i	−0.759354	−	0.650678i	$-0.774485\pi$
$397$	0.264980	−	0.315791i	0.0132990	−	0.0158491i	0.772653	+	0.634829i	$0.218929\pi$
$398$	6.02530			0.302021
$399$	−6.43133	−	9.57277i	−0.321969	−	0.479238i
$400$	−6.69963			−0.334981
$401$	10.0052	−	11.9238i	0.499637	−	0.595444i	−0.456004	−	0.889978i	$-0.650720\pi$
$401$	10.0052	−	11.9238i	0.499637	−	0.595444i	0.955641	+	0.294533i	$0.0951642\pi$
$402$	−8.56463	−	7.18658i	−0.427165	−	0.358434i
$403$	0.911159	+	5.16744i	0.0453881	+	0.257408i
$404$	9.61678	+	1.69570i	0.478453	+	0.0843641i
$405$	3.36851	−	0.593959i	0.167382	−	0.0295140i
$406$	−6.60004	+	15.9517i	−0.327554	+	0.791670i
$407$	18.5628	+	10.7172i	0.920124	+	0.531234i
$408$	−0.544513	−	3.08808i	−0.0269574	−	0.152883i
$409$	2.32268	−	1.94896i	0.114849	−	0.0963700i	−0.583554	−	0.812074i	$-0.698338\pi$
$409$	2.32268	−	1.94896i	0.114849	−	0.0963700i	0.698404	+	0.715704i	$0.253894\pi$
$410$	10.5183	+	18.2182i	0.519462	+	0.899734i
$411$	0.0564900	−	0.0978436i	0.00278645	−	0.00482627i
$412$	3.26107	+	18.4945i	0.160662	+	0.911157i
$413$	−24.5220	+	12.7777i	−1.20665	+	0.628748i
$414$	1.38681	+	1.65274i	0.0681581	+	0.0812276i
$415$	13.3983	−	4.87658i	0.657696	−	0.239382i
$416$	−2.27555	−	0.401240i	−0.111568	−	0.0196724i
$417$	18.4830	+	10.6712i	0.905117	+	0.522570i
$418$	17.4959	−	8.67439i	0.855752	−	0.424278i
$419$		−	15.1460i		−	0.739931i	−0.929045	−	0.369966i	$-0.879369\pi$
$419$		−	15.1460i		−	0.739931i	0.929045	−	0.369966i	$-0.120631\pi$
$420$	9.04126	+	0.391175i	0.441168	+	0.0190874i
$421$	−6.98809	−	1.23219i	−0.340578	−	0.0600532i	0.000743191	−	1.00000i	$-0.499763\pi$
$421$	−6.98809	−	1.23219i	−0.340578	−	0.0600532i	−0.341322	+	0.939947i	$0.610875\pi$
$422$	−20.9285	−	7.61734i	−1.01878	−	0.370806i
$423$	2.17869	+	5.98591i	0.105932	+	0.291045i
$424$	2.22542	+	0.809985i	0.108076	+	0.0393364i
$425$	−18.1936	−	10.5041i	−0.882520	−	0.509523i
$426$	6.25551	−	10.8349i	0.303081	−	0.524951i
$427$	−23.4059	+	7.39001i	−1.13269	+	0.357628i
$428$	−0.0261849	+	0.0719423i	−0.00126569	+	0.00347746i
$429$	10.3519			0.499795
$430$	−33.1764			−1.59991
$431$	11.3000	−	31.0464i	0.544300	−	1.49545i	−0.296997	−	0.954879i	$-0.595985\pi$
$431$	11.3000	−	31.0464i	0.544300	−	1.49545i	0.841297	−	0.540574i	$-0.181793\pi$
$432$	−0.173648	+	0.984808i	−0.00835465	+	0.0473816i
$433$	21.6642	−	18.1784i	1.04112	−	0.873600i	0.0489847	−	0.998800i	$-0.484401\pi$
$433$	21.6642	−	18.1784i	1.04112	−	0.873600i	0.992132	+	0.125199i	$0.0399570\pi$
$434$	6.00250	+	0.259702i	0.288129	+	0.0124661i
$435$	−20.9722	+	7.63325i	−1.00554	+	0.365986i
$436$	−0.514882	+	0.297267i	−0.0246584	+	0.0142365i
$437$	9.02298	−	2.65082i	0.431628	−	0.126806i
$438$	4.12234	−	7.14011i	0.196973	−	0.341168i
$439$	−1.66923	−	1.40065i	−0.0796682	−	0.0668496i	0.602084	−	0.798433i	$-0.294337\pi$
$439$	−1.66923	−	1.40065i	−0.0796682	−	0.0668496i	−0.681752	+	0.731583i	$0.738782\pi$
$440$	−2.66098	+	15.0912i	−0.126857	+	0.719444i
$441$	−6.97384	−	0.604586i	−0.332088	−	0.0287898i
$442$	−5.55043	−	4.65736i	−0.264007	−	0.221528i
$443$	21.0652	−	17.6758i	1.00084	−	0.839801i	0.0137356	−	0.999906i	$-0.495628\pi$
$443$	21.0652	−	17.6758i	1.00084	−	0.839801i	0.987100	+	0.160105i	$0.0511832\pi$
$444$			4.78440i			0.227058i
$445$	−24.1923	+	13.9674i	−1.14682	+	0.662118i
$446$	−3.41399	+	0.601979i	−0.161657	+	0.0285045i
$447$	−11.9786	−	4.35984i	−0.566567	−	0.206213i
$448$	−1.01152	+	2.44475i	−0.0477899	+	0.115504i
$449$	3.65496	−	2.11019i	0.172488	−	0.0995861i	−0.411270	−	0.911513i	$-0.634915\pi$
$449$	3.65496	−	2.11019i	0.172488	−	0.0995861i	0.583759	+	0.811927i	$0.301581\pi$
$450$	4.30644	+	5.13221i	0.203007	+	0.241935i
$451$	25.8917	−	9.42381i	1.21919	−	0.443750i
$452$	−0.275682	+	0.0486103i	−0.0129670	+	0.00228643i
$453$	0.447624	+	1.22984i	0.0210312	+	0.0577827i
$454$	−5.14985	−	14.1491i	−0.241694	−	0.664049i
$455$	16.5846	−	12.7362i	0.777498	−	0.597082i
$456$	3.62944	+	2.41395i	0.169964	+	0.113044i
$457$	11.1269	+	19.2724i	0.520497	+	0.901526i	0.999716	+	0.0238314i	$0.00758647\pi$
$457$	11.1269	+	19.2724i	0.520497	+	0.901526i	−0.479219	+	0.877695i	$0.659080\pi$
$458$	−4.38860	+	24.8890i	−0.205066	+	1.16299i
$459$	−2.01560	+	2.40210i	−0.0940804	+	0.112121i
$460$	−2.52399	+	6.93461i	−0.117682	+	0.323328i
$461$	−14.6504	+	17.4596i	−0.682336	+	0.813176i	−0.990406	−	0.138188i	$-0.955872\pi$
$461$	−14.6504	+	17.4596i	−0.682336	+	0.813176i	0.308071	+	0.951364i	$0.400317\pi$
$462$	2.56093	−	11.5732i	0.119145	−	0.538435i
$463$	−13.3977	−	23.2055i	−0.622643	−	1.07845i	−0.988992	−	0.147972i	$-0.952725\pi$
$463$	−13.3977	−	23.2055i	−0.622643	−	1.07845i	0.366348	−	0.930478i	$-0.380608\pi$
$464$		−	6.52487i		−	0.302909i
$465$	4.99278	+	5.95017i	0.231535	+	0.275932i
$466$	−10.4113	−	12.4077i	−0.482293	−	0.574774i
$467$			27.8054i			1.28668i	0.765581	+	0.643339i	$0.222451\pi$
$467$			27.8054i			1.28668i	−0.765581	+	0.643339i	$0.777549\pi$
$468$	1.15533	+	2.00108i	0.0534050	+	0.0925001i
$469$	−6.39097	+	28.8817i	−0.295108	+	1.33363i
$470$	−14.0055	+	16.6911i	−0.646025	+	0.769902i
$471$	6.92750	−	19.0332i	0.319203	−	0.877002i
$472$	6.71792	−	8.00611i	0.309218	−	0.368511i
$473$	−7.54569	+	42.7937i	−0.346951	+	1.96766i
$474$	7.12543	+	12.3416i	0.327282	+	0.566868i
$475$	28.0189	−	8.23153i	1.28559	−	0.377689i
$476$	−6.57994	+	5.05309i	−0.301591	+	0.231608i
$477$	−0.809985	−	2.22542i	−0.0370867	−	0.101895i
$478$	7.52599	+	20.6775i	0.344231	+	0.945766i
$479$	12.4165	−	2.18936i	0.567324	−	0.100035i	0.117373	−	0.993088i	$-0.462553\pi$
$479$	12.4165	−	2.18936i	0.567324	−	0.100035i	0.449951	+	0.893053i	$0.351442\pi$
$480$	−3.21419	+	1.16987i	−0.146707	+	0.0533970i
$481$	7.10607	+	8.46868i	0.324009	+	0.386139i
$482$	−18.5846	+	10.7298i	−0.846506	+	0.488730i
$483$	2.18235	−	5.27455i	0.0993004	−	0.240000i
$484$	8.52406	+	3.10250i	0.387457	+	0.141023i
$485$	−46.9925	+	8.28605i	−2.13382	+	0.376250i
$486$	0.866025	−	0.500000i	0.0392837	−	0.0226805i
$487$		−	9.67146i		−	0.438256i	−0.975696	−	0.219128i	$-0.929679\pi$
$487$		−	9.67146i		−	0.438256i	0.975696	−	0.219128i	$-0.0703212\pi$
$488$	7.10665	−	5.96319i	0.321703	−	0.269941i
$489$	−13.0533	−	10.9530i	−0.590290	−	0.495312i
$490$	−10.1360	−	21.6920i	−0.457898	−	0.979945i
$491$	−4.86977	+	27.6178i	−0.219769	+	1.24637i	0.652666	+	0.757646i	$0.273650\pi$
$491$	−4.86977	+	27.6178i	−0.219769	+	1.24637i	−0.872436	+	0.488729i	$0.837461\pi$
$492$	4.71133	+	3.95327i	0.212403	+	0.178227i
$493$	10.2301	−	17.7190i	0.460740	−	0.798026i
$494$	10.0097	−	1.11781i	0.450357	−	0.0502928i
$495$	13.2710	−	7.66199i	0.596485	−	0.344381i
$496$	−2.13391	+	0.776678i	−0.0958152	+	0.0348739i
$497$	−33.0701	−	1.43080i	−1.48340	−	0.0641801i
$498$	3.19324	−	2.67944i	0.143092	−	0.120069i
$499$	5.96101	−	33.8066i	0.266851	−	1.51339i	−0.496860	−	0.867831i	$-0.665514\pi$
$499$	5.96101	−	33.8066i	0.266851	−	1.51339i	0.763711	−	0.645558i	$-0.223375\pi$
$500$	−1.98835	+	5.46294i	−0.0889215	+	0.244310i
$501$	−15.7292			−0.702727
$502$	−15.6114			−0.696770
$503$	−7.19927	+	19.7798i	−0.321000	+	0.881940i	0.669300	+	0.742992i	$0.266594\pi$
$503$	−7.19927	+	19.7798i	−0.321000	+	0.881940i	−0.990300	+	0.138947i	$0.955628\pi$
$504$	2.52298	−	0.796588i	0.112383	−	0.0354829i
$505$	16.7007	−	28.9264i	0.743171	−	1.28721i
$506$	8.37079	+	4.83288i	0.372127	+	0.214848i
$507$	−7.19888	−	2.62018i	−0.319713	−	0.116366i
$508$	0.0678166	+	0.186325i	0.00300888	+	0.00826682i
$509$	−1.94724	−	0.708739i	−0.0863101	−	0.0314143i	0.298504	−	0.954408i	$-0.403512\pi$
$509$	−1.94724	−	0.708739i	−0.0863101	−	0.0314143i	−0.384814	+	0.922994i	$0.625735\pi$
$510$	−10.5627	−	1.86249i	−0.467725	−	0.0824725i
$511$	−21.7930	−	0.942887i	−0.964066	−	0.0417109i
$512$		−	1.00000i		−	0.0441942i
$513$	−0.483766	−	4.33197i	−0.0213588	−	0.191261i
$514$	17.2082	+	9.93514i	0.759020	+	0.438220i
$515$	63.2598	+	11.1544i	2.78756	+	0.491522i
$516$	−9.11441	+	3.31737i	−0.401240	+	0.146039i
$517$	18.3442	+	21.8617i	0.806775	+	0.961477i
$518$	11.2258	−	5.84940i	0.493232	−	0.257008i
$519$	2.31669	+	13.1386i	0.101691	+	0.576720i
$520$	−3.95176	+	6.84465i	−0.173296	+	0.300158i
$521$	7.05844	+	12.2256i	0.309236	+	0.535612i	0.978195	−	0.207687i	$-0.0665934\pi$
$521$	7.05844	+	12.2256i	0.309236	+	0.535612i	−0.668960	+	0.743299i	$0.733260\pi$
$522$	−4.99834	+	4.19411i	−0.218771	+	0.183571i
$523$	−5.62273	−	31.8881i	−0.245865	−	1.39437i	−0.818475	−	0.574542i	$-0.805180\pi$
$523$	−5.62273	−	31.8881i	−0.245865	−	1.39437i	0.572610	−	0.819828i	$-0.305931\pi$
$524$	−12.6102	−	7.28051i	−0.550879	−	0.318050i
$525$	6.77681	−	16.3790i	0.295764	−	0.714836i
$526$	−16.5682	+	2.92142i	−0.722407	+	0.127380i
$527$	−7.01259	−	1.23651i	−0.305473	−	0.0538632i
$528$	0.777958	+	4.41202i	0.0338563	+	0.192008i
$529$	−14.0532	−	11.7921i	−0.611011	−	0.512699i
$530$	5.20690	−	6.20534i	0.226173	−	0.269543i
$531$	−10.4512			−0.453545
$532$	1.22657	−	11.4671i	0.0531787	−	0.497164i
$533$	14.2110			0.615546
$534$	−5.24961	+	6.25624i	−0.227173	+	0.270734i
$535$	0.200603	+	0.168326i	0.00867284	+	0.00727738i
$536$	−1.94144	−	11.0105i	−0.0838576	−	0.475580i
$537$	11.7604	+	2.07368i	0.507499	+	0.0894858i
$538$	5.96874	−	1.05245i	0.257331	−	0.0453744i
$539$	−30.2856	+	8.14061i	−1.30449	+	0.350641i
$540$	2.96222	+	1.71024i	0.127473	+	0.0735968i
$541$	−1.88604	−	10.6963i	−0.0810871	−	0.459868i	−0.998133	−	0.0610851i	$-0.980544\pi$
$541$	−1.88604	−	10.6963i	−0.0810871	−	0.459868i	0.917045	−	0.398783i	$-0.130567\pi$
$542$	16.5744	−	13.9076i	0.711932	−	0.597382i
$543$	−8.87986	−	15.3804i	−0.381071	−	0.660035i
$544$	1.56786	−	2.71562i	0.0672215	−	0.116431i
$545$	0.353129	+	2.00269i	0.0151264	+	0.0857859i
$546$	3.28270	−	5.15729i	0.140487	−	0.220712i
$547$	27.0040	+	32.1821i	1.15461	+	1.37601i	0.914165	+	0.405343i	$0.132848\pi$
$547$	27.0040	+	32.1821i	1.15461	+	1.37601i	0.240442	+	0.970664i	$0.422708\pi$
$548$	0.106167	−	0.0386415i	0.00453521	−	0.00165068i
$549$	−9.13613	−	1.61095i	−0.389921	−	0.0687535i
$550$	25.9936	+	15.0074i	1.10837	+	0.639919i
$551$	8.01681	+	27.2880i	0.341528	+	1.16251i
$552$			2.15750i			0.0918291i
$553$	20.2459	−	31.8074i	0.860944	−	1.35259i
$554$	6.16060	+	1.08628i	0.261739	+	0.0461516i
$555$	15.3780	+	5.59713i	0.652759	+	0.237585i
$556$	7.29951	+	20.0553i	0.309568	+	0.850532i
$557$	9.97509	+	3.63064i	0.422658	+	0.153835i	0.544588	−	0.838704i	$-0.316686\pi$
$557$	9.97509	+	3.63064i	0.422658	+	0.153835i	−0.121930	+	0.992539i	$0.538908\pi$
$558$	1.96662	+	1.13543i	0.0832536	+	0.0480665i
$559$	−11.2059	+	19.4092i	−0.473960	+	0.820922i
$560$	6.67456	+	6.11127i	0.282052	+	0.258248i
$561$	−4.80480	+	13.2011i	−0.202859	+	0.557350i
$562$	5.65517			0.238549
$563$	33.2125			1.39974			0.699870	−	0.714270i	$-0.253241\pi$
$563$	33.2125			1.39974			0.699870	+	0.714270i	$0.253241\pi$
$564$	−2.17869	+	5.98591i	−0.0917396	+	0.252052i
$565$	−0.166270	+	0.942964i	−0.00699503	+	0.0396708i
$566$	−7.75919	+	6.51073i	−0.326143	+	0.273667i
$567$	−2.23196	−	1.42068i	−0.0937337	−	0.0596630i
$568$	11.7565	−	4.27902i	0.493293	−	0.179544i
$569$	37.3004	−	21.5354i	1.56371	−	0.902810i	0.566836	−	0.823831i	$-0.308167\pi$
$569$	37.3004	−	21.5354i	1.56371	−	0.902810i	0.996876	−	0.0789787i	$-0.0251659\pi$
$570$	12.0049	−	8.84171i	0.502829	−	0.370339i
$571$	9.50868	−	16.4695i	0.397926	−	0.689228i	−0.595544	−	0.803323i	$-0.703063\pi$
$571$	9.50868	−	16.4695i	0.397926	−	0.689228i	0.993470	+	0.114095i	$0.0363968\pi$
$572$	7.93002	+	6.65408i	0.331571	+	0.278221i
$573$	−1.30893	+	7.42330i	−0.0546813	+	0.310113i
$574$	3.51562	−	15.8876i	0.146739	−	0.663135i
$575$	11.0727	+	9.29112i	0.461765	+	0.387467i
$576$	−0.766044	+	0.642788i	−0.0319185	+	0.0267828i
$577$			16.6329i			0.692438i	0.938154	+	0.346219i	$0.112535\pi$
$577$			16.6329i			0.692438i	−0.938154	+	0.346219i	$0.887465\pi$
$578$	−6.20701	+	3.58362i	−0.258178	+	0.149059i
$579$	−2.18955	+	0.386077i	−0.0909947	+	0.0160448i
$580$	−20.9722	−	7.63325i	−0.870823	−	0.316954i
$581$	−10.1909	−	4.21650i	−0.422790	−	0.174930i
$582$	−12.0815	+	6.97528i	−0.500796	+	0.289135i
$583$	−6.81991	−	8.12765i	−0.282452	−	0.336613i
$584$	7.74747	−	2.81985i	0.320593	−	0.116686i
$585$	7.78345	−	1.37243i	0.321806	−	0.0567431i
$586$	−5.15038	−	14.1505i	−0.212760	−	0.584554i
$587$	0.843105	+	2.31641i	0.0347987	+	0.0956085i	0.955875	−	0.293773i	$-0.0949110\pi$
$587$	0.843105	+	2.31641i	0.0347987	+	0.0956085i	−0.921077	+	0.389382i	$0.872689\pi$
$588$	−4.95365	−	4.94584i	−0.204285	−	0.203963i
$589$	7.97005	−	5.87002i	0.328400	−	0.241870i
$590$	−17.8741	−	30.9588i	−0.735864	−	1.27455i
$591$	−3.27562	+	18.5770i	−0.134741	+	0.764154i
$592$	−3.07535	+	3.66506i	−0.126396	+	0.150633i
$593$	10.3061	−	28.3157i	0.423219	−	1.16279i	−0.526635	−	0.850092i	$-0.676546\pi$
$593$	10.3061	−	28.3157i	0.423219	−	1.16279i	0.949854	−	0.312694i	$-0.101231\pi$
$594$	2.87974	−	3.43194i	0.118157	−	0.140814i
$595$	8.54393	+	27.0607i	0.350267	+	1.10938i
$596$	−6.37366	−	11.0395i	−0.261075	−	0.452196i
$597$		−	6.02530i		−	0.246599i
$598$	3.20444	+	3.81890i	0.131039	+	0.156166i
$599$	−1.60153	−	1.90863i	−0.0654369	−	0.0779846i	0.732333	−	0.680947i	$-0.238431\pi$
$599$	−1.60153	−	1.90863i	−0.0654369	−	0.0779846i	−0.797770	+	0.602962i	$0.793987\pi$
$600$			6.69963i			0.273511i
$601$	−7.39509	−	12.8087i	−0.301652	−	0.522476i	0.674858	−	0.737947i	$-0.264205\pi$
$601$	−7.39509	−	12.8087i	−0.301652	−	0.522476i	−0.976510	+	0.215471i	$0.930871\pi$
$602$	18.9269	+	17.3296i	0.771403	+	0.706301i
$603$	−7.18658	+	8.56463i	−0.292660	+	0.348779i
$604$	−0.447624	+	1.22984i	−0.0182136	+	0.0500413i
$605$	19.9441	−	23.7684i	0.810843	−	0.966324i
$606$	1.69570	−	9.61678i	0.0688830	−	0.390655i
$607$	16.4103	+	28.4234i	0.666072	+	1.15367i	0.978993	+	0.203892i	$0.0653592\pi$
$607$	16.4103	+	28.4234i	0.666072	+	1.15367i	−0.312921	+	0.949779i	$0.601307\pi$
$608$	1.22866	+	4.18215i	0.0498285	+	0.169609i
$609$	15.9517	+	6.60004i	0.646396	+	0.267447i
$610$	−10.8530	−	29.8183i	−0.439424	−	1.20731i
$611$	5.03420	+	13.8314i	0.203662	+	0.559557i
$612$	−3.08808	+	0.544513i	−0.124828	+	0.0220106i
$613$	−5.51626	+	2.00776i	−0.222800	+	0.0810925i	−0.451008	−	0.892520i	$-0.648935\pi$
$613$	−5.51626	+	2.00776i	−0.222800	+	0.0810925i	0.228208	+	0.973612i	$0.426713\pi$
$614$	−3.68023	−	4.38593i	−0.148522	−	0.177002i
$615$	18.2182	−	10.5183i	0.734630	−	0.424139i
$616$	9.40091	−	7.21947i	0.378773	−	0.290881i
$617$	−22.7122	−	8.26655i	−0.914357	−	0.332799i	−0.158366	−	0.987380i	$-0.550623\pi$
$617$	−22.7122	−	8.26655i	−0.914357	−	0.332799i	−0.755991	+	0.654582i	$0.772845\pi$
$618$	18.4945	−	3.26107i	0.743956	−	0.131180i
$619$	−21.9282	+	12.6602i	−0.881368	+	0.508858i	−0.871109	−	0.491089i	$-0.836599\pi$
$619$	−21.9282	+	12.6602i	−0.881368	+	0.508858i	−0.0102588	+	0.999947i	$0.503266\pi$
$620$			7.76739i			0.311946i
$621$	1.65274	−	1.38681i	0.0663221	−	0.0556508i
$622$	16.4404	+	13.7951i	0.659199	+	0.553134i
$623$	21.0974	+	4.66844i	0.845248	+	0.187037i
$624$	−0.401240	+	2.27555i	−0.0160625	+	0.0910948i
$625$	−10.4282	−	8.75034i	−0.417130	−	0.350014i
$626$	1.74268	−	3.01841i	0.0696515	−	0.120640i
$627$	−8.67439	−	17.4959i	−0.346422	−	0.698719i
$628$	17.5411	−	10.1273i	0.699964	−	0.404125i
$629$	−14.0978	+	5.13118i	−0.562116	+	0.204593i
$630$	0.391175	−	9.04126i	0.0155848	−	0.360212i
$631$	−4.21181	+	3.53412i	−0.167669	+	0.140691i	−0.722761	−	0.691098i	$-0.757127\pi$
$631$	−4.21181	+	3.53412i	−0.167669	+	0.140691i	0.555092	+	0.831789i	$0.312683\pi$
$632$	−2.47463	+	14.0343i	−0.0984357	+	0.558256i
$633$	−7.61734	+	20.9285i	−0.302762	+	0.831831i
$634$	24.7078			0.981273
$635$	0.678220			0.0269143
$636$	0.809985	−	2.22542i	0.0321180	−	0.0882435i
$637$	−16.1141	−	1.39699i	−0.638465	−	0.0553507i
$638$	−14.6160	+	25.3156i	−0.578652	+	1.00225i
$639$	−10.8349	−	6.25551i	−0.428621	−	0.247464i
$640$	−3.21419	−	1.16987i	−0.127052	−	0.0462432i
$641$	−0.0220166	−	0.0604901i	−0.000869603	−	0.00238921i	0.939257	−	0.343214i	$-0.111516\pi$
$641$	−0.0220166	−	0.0604901i	−0.000869603	−	0.00238921i	−0.940127	+	0.340825i	$0.889294\pi$
$642$	0.0719423	+	0.0261849i	0.00283934	+	0.00103343i
$643$	−43.5359	−	7.67656i	−1.71689	−	0.302734i	−0.773347	−	0.633983i	$-0.781419\pi$
$643$	−43.5359	−	7.67656i	−1.71689	−	0.302734i	−0.943543	+	0.331249i	$0.892530\pi$
$644$	5.06219	−	2.63775i	0.199478	−	0.103942i
$645$			33.1764i			1.30632i
$646$	−3.22048	+	13.2835i	−0.126708	+	0.522632i
$647$	−5.13783	−	2.96633i	−0.201989	−	0.116618i	0.395594	−	0.918426i	$-0.370539\pi$
$647$	−5.13783	−	2.96633i	−0.201989	−	0.116618i	−0.597583	+	0.801807i	$0.703872\pi$
$648$	0.984808	+	0.173648i	0.0386869	+	0.00682154i
$649$	−43.9986	+	16.0142i	−1.72710	+	0.628612i
$650$	9.95068	+	11.8588i	0.390298	+	0.465139i
$651$	0.259702	−	6.00250i	0.0101785	−	0.235257i
$652$	−2.95894	−	16.7810i	−0.115881	−	0.657194i
$653$	−6.08670	+	10.5425i	−0.238191	+	0.412559i	−0.960195	−	0.279330i	$-0.909888\pi$
$653$	−6.08670	+	10.5425i	−0.238191	+	0.412559i	0.722004	+	0.691889i	$0.243221\pi$
$654$	0.297267	+	0.514882i	0.0116241	+	0.0201335i
$655$	−38.1533	+	32.0144i	−1.49077	+	1.25091i
$656$	1.06797	+	6.05677i	0.0416973	+	0.236477i
$657$	−7.14011	−	4.12234i	−0.278562	−	0.160828i
$658$	16.7086	−	2.20643i	0.651368	−	0.0860158i
$659$	−27.1164	+	4.78135i	−1.05630	+	0.186255i	−0.674716	−	0.738078i	$-0.735734\pi$
$659$	−27.1164	+	4.78135i	−1.05630	+	0.186255i	−0.381588	+	0.924333i	$0.624623\pi$
$660$	15.0912	+	2.66098i	0.587423	+	0.103579i
$661$	1.79666	+	10.1894i	0.0698822	+	0.396321i	0.999606	+	0.0280642i	$0.00893429\pi$
$661$	1.79666	+	10.1894i	0.0698822	+	0.396321i	−0.929724	+	0.368257i	$0.879955\pi$
$662$	−2.92963	−	2.45825i	−0.113863	−	0.0955425i
$663$	−4.65736	+	5.55043i	−0.180877	+	0.215561i
$664$	4.16847			0.161768
$665$	−35.4227	−	17.3575i	−1.37363	−	0.673096i
$666$	4.78440			0.185392
$667$	−9.04876	+	10.7839i	−0.350370	+	0.417554i
$668$	−12.0492	−	10.1105i	−0.466199	−	0.391187i
$669$	0.601979	+	3.41399i	0.0232739	+	0.131993i
$670$	−37.6610	−	6.64066i	−1.45497	−	0.256551i
$671$	−40.9306	+	7.21717i	−1.58011	+	0.278616i
$672$	2.44475	+	1.01152i	0.0943085	+	0.0390203i
$673$	−6.26391	−	3.61647i	−0.241456	−	0.139405i	0.374390	−	0.927271i	$-0.377852\pi$
$673$	−6.26391	−	3.61647i	−0.241456	−	0.139405i	−0.615846	+	0.787867i	$0.711186\pi$
$674$	−2.75805	−	15.6417i	−0.106236	−	0.602495i
$675$	5.13221	−	4.30644i	0.197539	−	0.165755i
$676$	−3.83044	−	6.63452i	−0.147325	−	0.255174i
$677$	8.46860	−	14.6680i	0.325475	−	0.563739i	−0.656134	−	0.754645i	$-0.727809\pi$
$677$	8.46860	−	14.6680i	0.325475	−	0.563739i	0.981608	+	0.190906i	$0.0611426\pi$
$678$	0.0486103	+	0.275682i	0.00186687	+	0.0105875i
$679$	31.1371	+	19.8193i	1.19493	+	0.760594i
$680$	−6.89432	−	8.21633i	−0.264385	−	0.315082i
$681$	−14.1491	+	5.14985i	−0.542194	+	0.197343i
$682$	10.0190	+	1.76663i	0.383649	+	0.0676477i
$683$	32.9675	+	19.0338i	1.26147	+	0.728307i	0.973358	−	0.229291i	$-0.0736406\pi$
$683$	32.9675	+	19.0338i	1.26147	+	0.728307i	0.288107	+	0.957598i	$0.406974\pi$
$684$	2.41395	−	3.62944i	0.0922997	−	0.138775i
$685$		−	0.386445i		−	0.0147653i
$686$	−5.54824	+	17.6697i	−0.211833	+	0.674631i
$687$	24.8890	+	4.38860i	0.949574	+	0.167435i
$688$	−9.11441	−	3.31737i	−0.347484	−	0.126474i
$689$	−1.87159	−	5.14216i	−0.0713020	−	0.195901i
$690$	6.93461	+	2.52399i	0.263996	+	0.0960867i
$691$	−13.5506	−	7.82345i	−0.515490	−	0.297618i	0.219598	−	0.975591i	$-0.429526\pi$
$691$	−13.5506	−	7.82345i	−0.515490	−	0.297618i	−0.735087	+	0.677972i	$0.762859\pi$
$692$	−6.67064	+	11.5539i	−0.253580	+	0.439213i
$693$	−11.5732	−	2.56093i	−0.439630	−	0.0972817i
$694$	6.37529	−	17.5160i	0.242003	−	0.664896i
$695$	73.0009			2.76908
$696$	−6.52487			−0.247325
$697$	−6.59597	+	18.1223i	−0.249840	+	0.686430i
$698$	−1.21916	+	6.91421i	−0.0461459	+	0.261707i
$699$	−12.4077	+	10.4113i	−0.469301	+	0.393791i
$700$	15.7195	−	8.19095i	0.594142	−	0.309589i
$701$	−42.1365	+	15.3364i	−1.59148	+	0.579250i	−0.977659	−	0.210199i	$-0.932589\pi$
$701$	−42.1365	+	15.3364i	−1.59148	+	0.579250i	−0.613817	+	0.789449i	$0.710367\pi$
$702$	2.00108	−	1.15533i	0.0755260	−	0.0436050i
$703$	8.35850	−	19.1064i	0.315247	−	0.720612i
$704$	−2.24004	+	3.87986i	−0.0844247	+	0.146228i
$705$	16.6911	+	14.0055i	0.628623	+	0.527477i
$706$	1.59152	−	9.02596i	0.0598976	−	0.339696i
$707$	−24.6373	+	7.77879i	−0.926580	+	0.292552i
$708$	−8.00611	−	6.71792i	−0.300888	−	0.252475i
$709$	6.70312	−	5.62459i	0.251741	−	0.211236i	−0.508181	−	0.861251i	$-0.669682\pi$
$709$	6.70312	−	5.62459i	0.251741	−	0.211236i	0.759922	+	0.650015i	$0.225237\pi$
$710$		−	42.7936i		−	1.60602i
$711$	12.3416	−	7.12543i	0.462846	−	0.267224i
$712$	−8.04287	+	1.41818i	−0.301419	+	0.0531484i
$713$	4.60389	+	1.67568i	0.172417	+	0.0627547i
$714$	5.05309	+	6.57994i	0.189107	+	0.246248i
$715$	30.6646	−	17.7042i	1.14679	−	0.662100i
$716$	7.67606	+	9.14797i	0.286868	+	0.341876i
$717$	20.6775	−	7.52599i	0.772215	−	0.281063i
$718$	13.0430	−	2.29984i	0.486762	−	0.0858293i
$719$	−6.23829	−	17.1396i	−0.232649	−	0.639198i	0.767349	−	0.641230i	$-0.221575\pi$
$719$	−6.23829	−	17.1396i	−0.232649	−	0.639198i	−0.999998	+	0.00203187i	$0.999353\pi$
$720$	1.16987	+	3.21419i	0.0435985	+	0.119786i
$721$	−30.2628	−	39.4071i	−1.12705	−	1.46760i
$722$	−10.2768	−	15.9808i	−0.382465	−	0.594744i
$723$	10.7298	+	18.5846i	0.399047	+	0.691169i
$724$	3.08394	−	17.4899i	0.114614	−	0.650008i
$725$	−28.0990	+	33.4870i	−1.04357	+	1.24368i
$726$	3.10250	−	8.52406i	0.115145	−	0.316358i
$727$	−25.0296	+	29.8291i	−0.928297	+	1.10630i	0.0658025	+	0.997833i	$0.479039\pi$
$727$	−25.0296	+	29.8291i	−0.928297	+	1.10630i	−0.994100	+	0.108469i	$0.965405\pi$
$728$	5.82974	−	1.84064i	0.216064	−	0.0682186i
$729$	−0.500000	−	0.866025i	−0.0185185	−	0.0320750i
$730$		−	28.2007i		−	1.04376i
$731$	−19.5501	−	23.2989i	−0.723085	−	0.861739i
$732$	−5.96319	−	7.10665i	−0.220406	−	0.262669i
$733$			12.9686i			0.479005i	0.970896	+	0.239502i	$0.0769843\pi$
$733$			12.9686i			0.479005i	−0.970896	+	0.239502i	$0.923016\pi$
$734$	−16.9194	−	29.3053i	−0.624508	−	1.08168i
$735$	−21.6920	+	10.1360i	−0.800122	+	0.373872i
$736$	−1.38681	+	1.65274i	−0.0511186	+	0.0609207i
$737$	−17.1314	+	47.0681i	−0.631042	+	1.73377i
$738$	3.95327	−	4.71133i	0.145522	−	0.173426i
$739$	9.11071	−	51.6694i	0.335143	−	1.90069i	−0.0906745	−	0.995881i	$-0.528902\pi$
$739$	9.11071	−	51.6694i	0.335143	−	1.90069i	0.425817	−	0.904809i	$-0.359987\pi$
$740$	8.18245	+	14.1724i	0.300793	+	0.520989i
$741$	−1.11781	−	10.0097i	−0.0410639	−	0.367715i
$742$	−6.21184	+	0.820298i	−0.228044	+	0.0301141i
$743$	7.42486	+	20.3996i	0.272392	+	0.748390i	0.998171	+	0.0604619i	$0.0192574\pi$
$743$	7.42486	+	20.3996i	0.272392	+	0.748390i	−0.725779	+	0.687928i	$0.758520\pi$
$744$	0.776678	+	2.13391i	0.0284744	+	0.0782328i
$745$	−42.9395	+	7.57138i	−1.57318	+	0.277394i
$746$	−18.4719	+	6.72323i	−0.676305	+	0.246155i
$747$	−2.67944	−	3.19324i	−0.0980357	−	0.116834i
$748$	−12.1662	+	7.02415i	−0.444840	+	0.256828i
$749$	−0.0265183	−	0.200814i	−0.000968956	−	0.00733757i
$750$	5.46294	+	1.98835i	0.199478	+	0.0726041i
$751$	−22.6452	+	3.99297i	−0.826337	+	0.145705i	−0.570795	−	0.821093i	$-0.693365\pi$
$751$	−22.6452	+	3.99297i	−0.826337	+	0.145705i	−0.255542	+	0.966798i	$0.582254\pi$
$752$	−5.51665	+	3.18504i	−0.201171	+	0.116146i
$753$			15.6114i			0.568911i
$754$	−11.5494	+	9.69112i	−0.420605	+	0.352930i
$755$	3.42927	+	2.87750i	0.124804	+	0.104723i
$756$	−0.796588	−	2.52298i	−0.0289716	−	0.0917600i
$757$	−0.994991	+	5.64288i	−0.0361636	+	0.205094i	−0.997536	−	0.0701573i	$-0.977650\pi$
$757$	−0.994991	+	5.64288i	−0.0361636	+	0.205094i	0.961372	+	0.275251i	$0.0887610\pi$
$758$	14.8100	+	12.4271i	0.537924	+	0.451372i
$759$	4.83288	−	8.37079i	0.175422	−	0.303840i
$760$	14.8796	+	0.943444i	0.539740	+	0.0342223i
$761$	8.72140	−	5.03531i	0.316151	−	0.182530i	−0.333525	−	0.942741i	$-0.608238\pi$
$761$	8.72140	−	5.03531i	0.316151	−	0.182530i	0.649676	+	0.760212i	$0.274905\pi$
$762$	0.186325	−	0.0678166i	0.00674983	−	0.00245674i
$763$	0.844643	−	1.32698i	0.0305781	−	0.0480399i
$764$	−5.77430	+	4.84522i	−0.208907	+	0.175294i
$765$	−1.86249	+	10.5627i	−0.0673385	+	0.381896i
$766$	−5.81825	+	15.9855i	−0.210222	+	0.577580i
$767$	−24.1492			−0.871976
$768$	−1.00000			−0.0360844
$769$	−7.10253	+	19.5141i	−0.256124	+	0.703695i	0.743274	+	0.668988i	$0.233272\pi$
$769$	−7.10253	+	19.5141i	−0.256124	+	0.703695i	−0.999398	+	0.0347072i	$0.988950\pi$
$770$	−12.2069	−	38.6622i	−0.439907	−	1.39329i
$771$	9.93514	−	17.2082i	0.357805	−	0.619737i
$772$	−1.92546	−	1.11167i	−0.0692989	−	0.0400097i
$773$	27.5276	+	10.0192i	0.990098	+	0.360366i	0.785758	−	0.618534i	$-0.212273\pi$
$773$	27.5276	+	10.0192i	0.990098	+	0.360366i	0.204340	+	0.978900i	$0.434495\pi$
$774$	3.31737	+	9.11441i	0.119241	+	0.327611i
$775$	14.2964	+	5.20345i	0.513541	+	0.186914i
$776$	−13.7386	−	2.42249i	−0.493187	−	0.0869623i
$777$	−5.84940	−	11.2258i	−0.209846	−	0.402722i
$778$			1.33901i			0.0480058i
$779$	−11.9081	−	24.0182i	−0.426652	−	0.860540i
$780$	6.84465	+	3.95176i	0.245078	+	0.141496i
$781$	−55.1989	−	9.73305i	−1.97517	−	0.348276i
$782$	−6.35731	+	2.31387i	−0.227337	+	0.0827439i
$783$	4.19411	+	4.99834i	0.149885	+	0.178626i
$784$	−0.615594	−	6.97288i	−0.0219855	−	0.249031i
$785$	−12.0304	−	68.2280i	−0.429385	−	2.43516i
$786$	−7.28051	+	12.6102i	−0.259687	+	0.449791i
$787$	−6.95095	−	12.0394i	−0.247775	−	0.429158i	0.715133	−	0.698988i	$-0.246366\pi$
$787$	−6.95095	−	12.0394i	−0.247775	−	0.429158i	−0.962908	+	0.269830i	$0.913033\pi$
$788$	−14.4503	+	12.1253i	−0.514771	+	0.431944i
$789$	2.92142	+	16.5682i	0.104005	+	0.589843i
$790$	42.2141	+	24.3723i	1.50191	+	0.867128i
$791$	0.587411	−	0.451104i	0.0208859	−	0.0160394i
$792$	4.41202	−	0.777958i	0.156774	−	0.0276435i
$793$	−21.1104	−	3.72234i	−0.749653	−	0.132184i
$794$	−0.0715840	−	0.405973i	−0.00254042	−	0.0144074i
$795$	−6.20534	−	5.20690i	−0.220081	−	0.184670i
$796$	3.87299	−	4.61565i	0.137274	−	0.163597i
$797$	48.7303			1.72612			0.863059	−	0.505104i	$-0.168546\pi$
$797$	48.7303			1.72612			0.863059	+	0.505104i	$0.168546\pi$
$798$	−11.4671	−	1.22657i	−0.405933	−	0.0434202i
$799$	−19.9748			−0.706657
$800$	−4.30644	+	5.13221i	−0.152256	+	0.181451i
$801$	6.25624	+	5.24961i	0.221053	+	0.185486i
$802$	−2.70290	−	15.3289i	−0.0954427	−	0.541282i
$803$	−36.3757	−	6.41402i	−1.28367	−	0.226346i
$804$	−11.0105	+	1.94144i	−0.388310	+	0.0684695i
$805$	−2.55613	−	19.3567i	−0.0900916	−	0.682234i
$806$	4.54417	+	2.62358i	0.160062	+	0.0924116i
$807$	−1.05245	−	5.96874i	−0.0370480	−	0.210110i
$808$	7.48053	−	6.27691i	0.263164	−	0.220821i
$809$	19.2551	+	33.3508i	0.676973	+	1.17255i	0.975888	+	0.218271i	$0.0700418\pi$
$809$	19.2551	+	33.3508i	0.676973	+	1.17255i	−0.298916	+	0.954280i	$0.596625\pi$
$810$	1.71024	−	2.96222i	0.0600916	−	0.104082i
$811$	3.70410	+	21.0070i	0.130069	+	0.737656i	0.978168	+	0.207818i	$0.0666361\pi$
$811$	3.70410	+	21.0070i	0.130069	+	0.737656i	−0.848099	+	0.529838i	$0.822253\pi$
$812$	7.97729	+	15.3095i	0.279948	+	0.537258i
$813$	−13.9076	−	16.5744i	−0.487760	−	0.581290i
$814$	20.1418	−	7.33103i	0.705971	−	0.256952i
$815$	−57.3988	−	10.1210i	−2.01059	−	0.354522i
$816$	−2.71562	−	1.56786i	−0.0950656	−	0.0548861i
$817$	42.1938	+	2.67530i	1.47617	+	0.0935969i
$818$		−	3.03205i		−	0.106013i
$819$	−5.15729	−	3.28270i	−0.180210	−	0.114707i
$820$	20.7170	+	3.65297i	0.723469	+	0.127567i
$821$	−53.6079	−	19.5117i	−1.87093	−	0.680962i	−0.967874	−	0.251435i	$-0.919098\pi$
$821$	−53.6079	−	19.5117i	−1.87093	−	0.680962i	−0.903054	−	0.429527i	$-0.858680\pi$
$822$	−0.0386415	−	0.106167i	−0.00134778	−	0.00370298i
$823$	−12.8064	−	4.66116i	−0.446404	−	0.162478i	0.109030	−	0.994038i	$-0.465226\pi$
$823$	−12.8064	−	4.66116i	−0.446404	−	0.162478i	−0.555434	+	0.831561i	$0.687448\pi$
$824$	16.2638	+	9.38988i	0.566575	+	0.327112i
$825$	15.0074	−	25.9936i	0.522492	−	0.904983i
$826$	−5.97420	+	26.9983i	−0.207869	+	0.939390i
$827$	0.00833377	−	0.0228968i	0.000289793	−	0.000796201i	−0.939548	−	0.342418i	$-0.888754\pi$
$827$	0.00833377	−	0.0228968i	0.000289793	−	0.000796201i	0.939837	+	0.341622i	$0.110976\pi$
$828$	2.15750			0.0749782
$829$	12.8903			0.447697			0.223849	−	0.974624i	$-0.428138\pi$
$829$	12.8903			0.447697			0.223849	+	0.974624i	$0.428138\pi$
$830$	4.87658	−	13.3983i	0.169268	−	0.465061i
$831$	1.08628	−	6.16060i	0.0376826	−	0.213709i
$832$	−1.77006	+	1.48526i	−0.0613659	+	0.0514921i
$833$	9.26080	−	19.9008i	0.320868	−	0.689523i
$834$	20.0553	−	7.29951i	0.694457	−	0.252762i
$835$	−46.5932	+	26.9006i	−1.61242	+	0.930933i
$836$	4.60118	−	18.9784i	0.159135	−	0.656382i
$837$	1.13543	−	1.96662i	0.0392461	−	0.0679762i
$838$	−11.6025	−	9.73567i	−0.400802	−	0.336313i
$839$	−0.304704	+	1.72806i	−0.0105195	+	0.0596593i	−0.989616	−	0.143739i	$-0.954087\pi$
$839$	−0.304704	+	1.72806i	−0.0105195	+	0.0596593i	0.979096	+	0.203398i	$0.0651986\pi$
$840$	6.11127	−	6.67456i	0.210859	−	0.230294i
$841$	−10.3982	−	8.72515i	−0.358560	−	0.300867i
$842$	−5.43577	+	4.56115i	−0.187329	+	0.157188i
$843$		−	5.65517i		−	0.194775i
$844$	−19.2878	+	11.1358i	−0.663912	+	0.383310i
$845$	−25.8058	+	4.55025i	−0.887745	+	0.156533i
$846$	5.98591	+	2.17869i	0.205800	+	0.0749050i
$847$	−23.7934	+	3.14201i	−0.817549	+	0.107961i
$848$	2.05095	−	1.18412i	0.0704301	−	0.0406628i
$849$	6.51073	+	7.75919i	0.223448	+	0.266295i
$850$	−19.7412	+	7.18522i	−0.677119	+	0.246451i
$851$	10.1655	−	1.79245i	0.348469	−	0.0614445i
$852$	−4.27902	−	11.7565i	−0.146597	−	0.402772i
$853$	−0.258221	−	0.709455i	−0.00884130	−	0.0242913i	0.935193	−	0.354137i	$-0.115225\pi$
$853$	−0.258221	−	0.709455i	−0.00884130	−	0.0242913i	−0.944035	+	0.329846i	$0.893003\pi$
$854$	−9.38395	+	22.6802i	−0.321112	+	0.776099i
$855$	−8.84171	−	12.0049i	−0.302380	−	0.410558i
$856$	0.0382797	+	0.0663024i	0.00130837	+	0.00226617i
$857$	−1.64212	+	9.31295i	−0.0560939	+	0.318124i	−0.999924	−	0.0123060i	$-0.996083\pi$
$857$	−1.64212	+	9.31295i	−0.0560939	+	0.318124i	0.943830	+	0.330430i	$0.107194\pi$
$858$	6.65408	−	7.93002i	0.227166	−	0.270726i
$859$	1.65489	−	4.54678i	0.0564642	−	0.155134i	−0.908254	−	0.418420i	$-0.862584\pi$
$859$	1.65489	−	4.54678i	0.0564642	−	0.155134i	0.964718	+	0.263286i	$0.0848062\pi$
$860$	−21.3254	+	25.4146i	−0.727189	+	0.866630i
$861$	−15.8876	−	3.51562i	−0.541447	−	0.119812i
$862$	−16.5194	−	28.6125i	−0.562654	−	0.974546i
$863$			22.9015i			0.779574i	0.920905	+	0.389787i	$0.127451\pi$
$863$			22.9015i			0.779574i	−0.920905	+	0.389787i	$0.872549\pi$
$864$	0.642788	+	0.766044i	0.0218681	+	0.0260614i
$865$	29.3326	+	34.9573i	0.997339	+	1.18858i
$866$		−	28.2806i		−	0.961015i
$867$	3.58362	+	6.20701i	0.121706	+	0.210801i
$868$	4.05728	−	4.43125i	0.137713	−	0.150406i
$869$	41.0387	−	48.9081i	1.39214	−	1.65909i
$870$	−7.63325	+	20.9722i	−0.258791	+	0.711024i
$871$	−16.6057	+	19.7899i	−0.562662	+	0.670555i
$872$	−0.103240	+	0.585502i	−0.00349614	+	0.0198276i
$873$	6.97528	+	12.0815i	0.236077	+	0.408898i
$874$	3.76921	−	8.61592i	0.127496	−	0.291438i
$875$	−2.01366	−	15.2488i	−0.0680742	−	0.515503i
$876$	−2.81985	−	7.74747i	−0.0952739	−	0.261763i
$877$	−17.0591	−	46.8694i	−0.576044	−	1.58267i	−0.794789	−	0.606886i	$-0.792419\pi$
$877$	−17.0591	−	46.8694i	−0.576044	−	1.58267i	0.218745	−	0.975782i	$-0.429804\pi$
$878$	−2.14593	+	0.378385i	−0.0724215	+	0.0127699i
$879$	−14.1505	+	5.15038i	−0.477286	+	0.173718i
$880$	9.85007	+	11.7389i	0.332046	+	0.395717i
$881$	−12.2731	+	7.08586i	−0.413490	+	0.238729i	−0.692288	−	0.721621i	$-0.743397\pi$
$881$	−12.2731	+	7.08586i	−0.413490	+	0.238729i	0.278798	+	0.960350i	$0.410064\pi$
$882$	−4.94584	+	4.95365i	−0.166535	+	0.166798i
$883$	−18.9370	−	6.89252i	−0.637282	−	0.231952i	0.00311580	−	0.999995i	$-0.499008\pi$
$883$	−18.9370	−	6.89252i	−0.637282	−	0.231952i	−0.640398	+	0.768044i	$0.721230\pi$
$884$	−7.13549	+	1.25818i	−0.239992	+	0.0423171i
$885$	−30.9588	+	17.8741i	−1.04067	+	0.600831i
$886$		−	27.4986i		−	0.923834i
$887$	36.3383	−	30.4915i	1.22012	−	1.02380i	0.221304	−	0.975205i	$-0.428969\pi$
$887$	36.3383	−	30.4915i	1.22012	−	1.02380i	0.998818	−	0.0485989i	$-0.0154756\pi$
$888$	3.66506	+	3.07535i	0.122991	+	0.103202i
$889$	−0.386920	−	0.354266i	−0.0129769	−	0.0118817i
$890$	−4.85083	+	27.5104i	−0.162600	+	0.922151i
$891$	−3.43194	−	2.87974i	−0.114974	−	0.0964749i
$892$	−1.73333	+	3.00222i	−0.0580362	+	0.100522i
$893$	19.1581	−	20.0984i	0.641103	−	0.672566i
$894$	−11.0395	+	6.37366i	−0.369216	+	0.213167i
$895$	38.3833	−	13.9704i	1.28301	−	0.466979i
$896$	1.22260	+	2.34633i	0.0408441	+	0.0783853i
$897$	3.81890	−	3.20444i	0.127509	−	0.106993i
$898$	0.732862	−	4.15627i	0.0244559	−	0.138696i
$899$	−5.06772	+	13.9235i	−0.169018	+	0.464373i
$900$	6.69963			0.223321
$901$	7.42614			0.247401
$902$	9.42381	−	25.8917i	0.313779	−	0.862100i
$903$	17.3296	−	18.9269i	0.576692	−	0.629848i
$904$	−0.139968	+	0.242431i	−0.00465526	+	0.00806314i
$905$	−52.6081	−	30.3733i	−1.74875	−	1.00964i
$906$	1.22984	+	0.447624i	0.0408586	+	0.0148713i
$907$	−1.16338	−	3.19636i	−0.0386294	−	0.106133i	0.918878	−	0.394541i	$-0.129096\pi$
$907$	−1.16338	−	3.19636i	−0.0386294	−	0.106133i	−0.957508	+	0.288408i	$0.906874\pi$
$908$	−14.1491	−	5.14985i	−0.469554	−	0.170904i
$909$	−9.61678	−	1.69570i	−0.318968	−	0.0562428i
$910$	0.903870	−	20.8912i	0.0299630	−	0.692537i
$911$		−	9.59609i		−	0.317933i	−0.987284	−	0.158966i	$-0.949184\pi$
$911$		−	9.59609i		−	0.317933i	0.987284	−	0.158966i	$-0.0508161\pi$
$912$	4.18215	−	1.22866i	0.138485	−	0.0406848i
$913$	−16.1731	−	9.33755i	−0.535252	−	0.309028i
$914$	21.9158	+	3.86435i	0.724910	+	0.127821i
$915$	−29.8183	+	10.8530i	−0.985762	+	0.358788i
$916$	16.2451	+	19.3602i	0.536754	+	0.639679i
$917$	38.4888	+	1.66524i	1.27101	+	0.0549911i
$918$	0.544513	+	3.08808i	0.0179716	+	0.101922i
$919$	−20.4150	+	35.3598i	−0.673428	+	1.16641i	0.303497	+	0.952832i	$0.401846\pi$
$919$	−20.4150	+	35.3598i	−0.673428	+	1.16641i	−0.976926	+	0.213580i	$0.931488\pi$
$920$	3.68983	+	6.39097i	0.121650	+	0.210704i
$921$	−4.38593	+	3.68023i	−0.144521	+	0.121268i
$922$	3.95778	+	22.4457i	0.130342	+	0.739208i
$923$	−25.0356	−	14.4543i	−0.824057	−	0.475770i
$924$	−7.21947	−	9.40091i	−0.237503	−	0.309267i
$925$	31.5667	−	5.56607i	1.03791	−	0.183011i
$926$	−26.3883	−	4.65297i	−0.867173	−	0.152906i
$927$	−3.26107	−	18.4945i	−0.107108	−	0.607438i
$928$	−4.99834	−	4.19411i	−0.164079	−	0.137678i
$929$	−15.7574	+	18.7789i	−0.516982	+	0.616115i	−0.959864	−	0.280465i	$-0.909511\pi$
$929$	−15.7574	+	18.7789i	−0.516982	+	0.616115i	0.442882	+	0.896580i	$0.353956\pi$
$930$	7.76739			0.254703
$931$	11.1418	+	28.4053i	0.365157	+	0.930946i
$932$	−16.1971			−0.530553
$933$	13.7951	−	16.4404i	0.451632	−	0.538234i
$934$	21.3001	+	17.8729i	0.696962	+	0.584820i
$935$	8.34411	+	47.3218i	0.272881	+	1.54759i
$936$	2.27555	+	0.401240i	0.0743786	+	0.0131150i
$937$	52.6339	−	9.28078i	1.71948	−	0.303190i	0.775046	−	0.631905i	$-0.217727\pi$
$937$	52.6339	−	9.28078i	1.71948	−	0.303190i	0.944429	+	0.328715i	$0.106615\pi$
$938$	18.0167	+	23.4606i	0.588265	+	0.766015i
$939$	−3.01841	−	1.74268i	−0.0985021	−	0.0568702i
$940$	3.78356	+	21.4576i	0.123406	+	0.699871i
$941$	15.8606	−	13.3086i	0.517040	−	0.433848i	−0.346558	−	0.938028i	$-0.612650\pi$
$941$	15.8606	−	13.3086i	0.517040	−	0.433848i	0.863599	+	0.504180i	$0.168205\pi$
$942$	−10.1273	−	17.5411i	−0.329966	−	0.571519i
$943$	6.63452	−	11.4913i	0.216050	−	0.374209i
$944$	−1.81484	−	10.2925i	−0.0590679	−	0.334991i
$945$	−9.04126	−	0.391175i	−0.294112	−	0.0127249i
$946$	27.9316	+	33.2876i	0.908135	+	1.08227i
$947$	40.2093	−	14.6350i	1.30663	−	0.475574i	0.407478	−	0.913215i	$-0.366408\pi$
$947$	40.2093	−	14.6350i	1.30663	−	0.475574i	0.899150	+	0.437641i	$0.144186\pi$
$948$	14.0343	+	2.47463i	0.455814	+	0.0803724i
$949$	−16.4983	−	9.52530i	−0.535558	−	0.309204i
$950$	11.7045	−	26.7548i	0.379743	−	0.868041i
$951$		−	24.7078i		−	0.801206i
$952$	−0.358611	+	8.28859i	−0.0116226	+	0.268635i
$953$	31.3305	+	5.52441i	1.01489	+	0.178953i	0.656267	−	0.754528i	$-0.272134\pi$
$953$	31.3305	+	5.52441i	1.01489	+	0.178953i	0.358626	+	0.933481i	$0.383245\pi$
$954$	−2.22542	−	0.809985i	−0.0720505	−	0.0262242i
$955$	8.81827	+	24.2280i	0.285353	+	0.784000i
$956$	20.6775	+	7.52599i	0.668758	+	0.243408i
$957$	25.3156	+	14.6160i	0.818337	+	0.472467i
$958$	6.30402	−	10.9189i	0.203674	−	0.352773i
$959$	−0.201859	+	0.220464i	−0.00651835	+	0.00711917i
$960$	−1.16987	+	3.21419i	−0.0377574	+	0.103738i
$961$	−25.8432			−0.833652
$962$	11.0551			0.356430
$963$	0.0261849	−	0.0719423i	0.000843795	−	0.00231831i
$964$	−3.72643	+	21.1336i	−0.120020	+	0.680669i
$965$	−5.82565	+	4.88830i	−0.187534	+	0.157360i
$966$	−2.63775	−	5.06219i	−0.0848682	−	0.162873i
$967$	−1.40440	+	0.511158i	−0.0451623	+	0.0164377i	−0.364503	−	0.931202i	$-0.618761\pi$
$967$	−1.40440	+	0.511158i	−0.0451623	+	0.0164377i	0.319340	+	0.947640i	$0.396539\pi$
$968$	7.85582	−	4.53556i	0.252495	−	0.145778i
$969$	13.2835	+	3.22048i	0.426727	+	0.103457i
$970$	−23.8587	+	41.3245i	−0.766058	+	1.32685i
$971$	24.0390	+	20.1711i	0.771447	+	0.647321i	0.941079	−	0.338187i	$-0.109814\pi$
$971$	24.0390	+	20.1711i	0.771447	+	0.647321i	−0.169632	+	0.985507i	$0.554258\pi$
$972$	0.173648	−	0.984808i	0.00556977	−	0.0315877i
$973$	−41.6466	−	38.1318i	−1.33513	−	1.22245i
$974$	−7.40877	−	6.21669i	−0.237392	−	0.199196i
$975$	11.8588	−	9.95068i	0.379784	−	0.318677i
$976$		−	9.27707i		−	0.296952i
$977$	6.62681	−	3.82599i	0.212011	−	0.122404i	−0.390235	−	0.920715i	$-0.627606\pi$
$977$	6.62681	−	3.82599i	0.212011	−	0.122404i	0.602245	+	0.798311i	$0.294273\pi$
$978$	−16.7810	+	2.95894i	−0.536596	+	0.0946164i
$979$	34.3820	+	12.5140i	1.09885	+	0.399950i
$980$	−23.1323	−	6.17873i	−0.738936	−	0.197372i
$981$	0.514882	−	0.297267i	0.0164389	−	0.00949101i
$982$	18.0262	+	21.4828i	0.575241	+	0.685545i
$983$	50.7691	−	18.4785i	1.61928	−	0.589371i	0.636039	−	0.771657i	$-0.280572\pi$
$983$	50.7691	−	18.4785i	1.61928	−	0.589371i	0.983246	+	0.182286i	$0.0583496\pi$
$984$	6.05677	−	1.06797i	0.193083	−	0.0340457i
$985$	22.0679	+	60.6311i	0.703142	+	1.93187i
$986$	−6.99780	−	19.2263i	−0.222855	−	0.612290i
$987$	−2.20643	−	16.7086i	−0.0702316	−	0.531840i
$988$	5.57780	−	8.38637i	0.177453	−	0.266806i
$989$	10.4632	+	18.1227i	0.332709	+	0.576269i
$990$	2.66098	−	15.0912i	0.0845716	−	0.479629i
$991$	10.3556	−	12.3413i	0.328957	−	0.392035i	−0.576063	−	0.817405i	$-0.695412\pi$
$991$	10.3556	−	12.3413i	0.328957	−	0.392035i	0.905020	+	0.425370i	$0.139856\pi$
$992$	−0.776678	+	2.13391i	−0.0246595	+	0.0677516i
$993$	−2.45825	+	2.92963i	−0.0780101	+	0.0929689i
$994$	−22.3531	+	24.4135i	−0.708998	+	0.774349i
$995$	−10.3047	−	17.8482i	−0.326681	−	0.565827i
$996$		−	4.16847i		−	0.132083i
$997$	22.8946	+	27.2847i	0.725079	+	0.864116i	0.995114	−	0.0987350i	$-0.0314796\pi$
$997$	22.8946	+	27.2847i	0.725079	+	0.864116i	−0.270035	+	0.962851i	$0.587035\pi$
$998$	−22.0657	−	26.2968i	−0.698476	−	0.832412i
$999$		−	4.78440i		−	0.151372i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	798.2.ca.a.451.8	✓	72
7.5	odd	6		798.2.cj.a.565.2	yes	72
19.15	odd	18		798.2.cj.a.661.2	yes	72
133.110	even	18	inner	798.2.ca.a.775.8	yes	72

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
798.2.ca.a.451.8	✓	72	1.1	even	1	trivial
798.2.ca.a.775.8	yes	72	133.110	even	18	inner
798.2.cj.a.565.2	yes	72	7.5	odd	6
798.2.cj.a.661.2	yes	72	19.15	odd	18

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:	\( N \)	\(=\)	\( 798 = 2 \cdot 3 \cdot 7 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	798.ca (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.642788 - 0.766044i) q^{2} +(-0.766044 - 0.642788i) q^{3} +(-0.173648 - 0.984808i) q^{4} +(-3.36851 - 0.593959i) q^{5} +(-0.984808 + 0.173648i) q^{6} +(1.61146 + 2.09838i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(0.173648 + 0.984808i) q^{9} +O(q^{10})\)	\(q+(0.642788 - 0.766044i) q^{2} +(-0.766044 - 0.642788i) q^{3} +(-0.173648 - 0.984808i) q^{4} +(-3.36851 - 0.593959i) q^{5} +(-0.984808 + 0.173648i) q^{6} +(1.61146 + 2.09838i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(0.173648 + 0.984808i) q^{9} +(-2.62023 + 2.19864i) q^{10} +(2.24004 + 3.87986i) q^{11} +(-0.500000 + 0.866025i) q^{12} +(0.401240 + 2.27555i) q^{13} +(2.64328 + 0.114363i) q^{14} +(2.19864 + 2.62023i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(-3.08808 - 0.544513i) q^{17} +(0.866025 + 0.500000i) q^{18} +(3.50971 - 2.58494i) q^{19} +3.42047i q^{20} +(0.114363 - 2.64328i) q^{21} +(4.41202 + 0.777958i) q^{22} +(2.02738 + 0.737907i) q^{23} +(0.342020 + 0.939693i) q^{24} +(6.29559 + 2.29141i) q^{25} +(2.00108 + 1.15533i) q^{26} +(0.500000 - 0.866025i) q^{27} +(1.78667 - 1.95136i) q^{28} +(-2.23164 + 6.13137i) q^{29} +3.42047 q^{30} +2.27085 q^{31} +(-0.342020 + 0.939693i) q^{32} +(0.777958 - 4.41202i) q^{33} +(-2.40210 + 2.01560i) q^{34} +(-4.18186 - 8.02555i) q^{35} +(0.939693 - 0.342020i) q^{36} +(4.14341 - 2.39220i) q^{37} +(0.275823 - 4.35016i) q^{38} +(1.15533 - 2.00108i) q^{39} +(2.62023 + 2.19864i) q^{40} +(1.06797 - 6.05677i) q^{41} +(-1.95136 - 1.78667i) q^{42} +(7.43014 + 6.23463i) q^{43} +(3.43194 - 2.87974i) q^{44} -3.42047i q^{45} +(1.86845 - 1.07875i) q^{46} +(6.27330 - 1.10615i) q^{47} +(0.939693 + 0.342020i) q^{48} +(-1.80640 + 6.76291i) q^{49} +(5.80205 - 3.34981i) q^{50} +(2.01560 + 2.40210i) q^{51} +(2.17130 - 0.790289i) q^{52} +(-2.33226 + 0.411240i) q^{53} +(-0.342020 - 0.939693i) q^{54} +(-5.24111 - 14.3998i) q^{55} +(-0.346375 - 2.62298i) q^{56} +(-4.35016 - 0.275823i) q^{57} +(3.26243 + 5.65070i) q^{58} +(-1.81484 + 10.2925i) q^{59} +(2.19864 - 2.62023i) q^{60} +(-3.17294 + 8.71759i) q^{61} +(1.45968 - 1.73958i) q^{62} +(-1.78667 + 1.95136i) q^{63} +(0.500000 + 0.866025i) q^{64} -7.90352i q^{65} +(-2.87974 - 3.43194i) q^{66} +(7.18658 + 8.56463i) q^{67} +3.13572i q^{68} +(-1.07875 - 1.86845i) q^{69} +(-8.83598 - 1.95523i) q^{70} +(-8.04193 + 9.58400i) q^{71} +(0.342020 - 0.939693i) q^{72} +(-5.29958 + 6.31580i) q^{73} +(0.830802 - 4.71171i) q^{74} +(-3.34981 - 5.80205i) q^{75} +(-3.15512 - 3.00752i) q^{76} +(-4.53169 + 10.9527i) q^{77} +(-0.790289 - 2.17130i) q^{78} +(-4.87408 - 13.3914i) q^{79} +(3.36851 - 0.593959i) q^{80} +(-0.939693 + 0.342020i) q^{81} +(-3.95327 - 4.71133i) q^{82} +(-3.61001 + 2.08424i) q^{83} +(-2.62298 + 0.346375i) q^{84} +(10.0788 + 3.66839i) q^{85} +(9.55200 - 1.68428i) q^{86} +(5.65070 - 3.26243i) q^{87} -4.48008i q^{88} +(6.25624 - 5.24961i) q^{89} +(-2.62023 - 2.19864i) q^{90} +(-4.12838 + 4.50891i) q^{91} +(0.374645 - 2.12472i) q^{92} +(-1.73958 - 1.45968i) q^{93} +(3.18504 - 5.51665i) q^{94} +(-13.3578 + 6.62276i) q^{95} +(0.866025 - 0.500000i) q^{96} +(13.1092 - 4.77137i) q^{97} +(4.01956 + 5.73089i) q^{98} +(-3.43194 + 2.87974i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 72 q - 6 q^{7}+O(q^{10}) \) 72 * q - 6 * q^7	\( 72 q - 6 q^{7} + 6 q^{10} + 6 q^{11} - 36 q^{12} + 30 q^{13} - 12 q^{14} + 18 q^{17} + 54 q^{19} - 12 q^{21} + 12 q^{22} - 6 q^{23} + 24 q^{25} + 18 q^{26} + 36 q^{27} + 6 q^{28} - 12 q^{31} - 6 q^{33} + 6 q^{34} - 24 q^{35} + 18 q^{37} - 24 q^{38} - 6 q^{40} + 18 q^{42} + 6 q^{43} - 6 q^{44} + 18 q^{46} - 18 q^{47} + 12 q^{49} + 42 q^{52} - 12 q^{53} - 30 q^{55} + 18 q^{56} + 6 q^{57} - 78 q^{59} - 42 q^{61} - 12 q^{62} - 6 q^{63} + 36 q^{64} - 6 q^{66} - 6 q^{67} + 6 q^{69} - 54 q^{70} + 6 q^{71} + 12 q^{73} - 6 q^{75} - 18 q^{76} + 48 q^{77} - 12 q^{78} - 12 q^{79} + 12 q^{82} + 18 q^{83} - 6 q^{84} + 84 q^{85} + 6 q^{86} - 24 q^{89} + 6 q^{90} + 48 q^{91} + 6 q^{92} + 48 q^{93} - 18 q^{94} - 120 q^{95} + 30 q^{97} + 60 q^{98} + 6 q^{99}+O(q^{100}) \) 72 * q - 6 * q^7 + 6 * q^10 + 6 * q^11 - 36 * q^12 + 30 * q^13 - 12 * q^14 + 18 * q^17 + 54 * q^19 - 12 * q^21 + 12 * q^22 - 6 * q^23 + 24 * q^25 + 18 * q^26 + 36 * q^27 + 6 * q^28 - 12 * q^31 - 6 * q^33 + 6 * q^34 - 24 * q^35 + 18 * q^37 - 24 * q^38 - 6 * q^40 + 18 * q^42 + 6 * q^43 - 6 * q^44 + 18 * q^46 - 18 * q^47 + 12 * q^49 + 42 * q^52 - 12 * q^53 - 30 * q^55 + 18 * q^56 + 6 * q^57 - 78 * q^59 - 42 * q^61 - 12 * q^62 - 6 * q^63 + 36 * q^64 - 6 * q^66 - 6 * q^67 + 6 * q^69 - 54 * q^70 + 6 * q^71 + 12 * q^73 - 6 * q^75 - 18 * q^76 + 48 * q^77 - 12 * q^78 - 12 * q^79 + 12 * q^82 + 18 * q^83 - 6 * q^84 + 84 * q^85 + 6 * q^86 - 24 * q^89 + 6 * q^90 + 48 * q^91 + 6 * q^92 + 48 * q^93 - 18 * q^94 - 120 * q^95 + 30 * q^97 + 60 * q^98 + 6 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more