LMFDB - Embedded newform 570.2.bh.b.13.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [570,2,Mod(13,570)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(570, base_ring=CyclotomicField(36))

chi = DirichletCharacter(H, H._module([0, 27, 10]))

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

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

chi := DirichletCharacter("570.13");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 570 = 2 \cdot 3 \cdot 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	570.bh (of order $36$, degree $12$, 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:	$4.55147291521$
Analytic rank:	$0$
Dimension:	$120$
Relative dimension:	$10$ over $\Q(\zeta_{36})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label			13.2
Character	$\chi$	$=$	570.13
Dual form			570.2.bh.b.307.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.996195 - 0.0871557i) q^{2} +(0.906308 - 0.422618i) q^{3} +(0.984808 + 0.173648i) q^{4} +(-1.80134 + 1.32483i) q^{5} +(-0.939693 + 0.342020i) q^{6} +(-0.863423 - 3.22234i) q^{7} +(-0.965926 - 0.258819i) q^{8} +(0.642788 - 0.766044i) q^{9} +O(q^{10})$	\(q+(-0.996195 - 0.0871557i) q^{2} +(0.906308 - 0.422618i) q^{3} +(0.984808 + 0.173648i) q^{4} +(-1.80134 + 1.32483i) q^{5} +(-0.939693 + 0.342020i) q^{6} +(-0.863423 - 3.22234i) q^{7} +(-0.965926 - 0.258819i) q^{8} +(0.642788 - 0.766044i) q^{9} +(1.90995 - 1.16279i) q^{10} +(2.36616 + 4.09831i) q^{11} +(0.965926 - 0.258819i) q^{12} +(0.702334 - 1.50616i) q^{13} +(0.579292 + 3.28533i) q^{14} +(-1.07267 + 1.96198i) q^{15} +(0.939693 + 0.342020i) q^{16} +(0.504570 - 5.76726i) q^{17} +(-0.707107 + 0.707107i) q^{18} +(-0.947837 - 4.25460i) q^{19} +(-2.00403 + 0.991905i) q^{20} +(-2.14435 - 2.55553i) q^{21} +(-1.99996 - 4.28894i) q^{22} +(3.79972 - 2.66059i) q^{23} +(-0.984808 + 0.173648i) q^{24} +(1.48964 - 4.77294i) q^{25} +(-0.830932 + 1.43922i) q^{26} +(0.258819 - 0.965926i) q^{27} +(-0.290753 - 3.32332i) q^{28} +(2.17640 + 1.82621i) q^{29} +(1.23959 - 1.86103i) q^{30} +(-6.09428 - 3.51853i) q^{31} +(-0.906308 - 0.422618i) q^{32} +(3.87649 + 2.71435i) q^{33} +(-1.00530 + 5.70133i) q^{34} +(5.82437 + 4.66063i) q^{35} +(0.766044 - 0.642788i) q^{36} +(4.75404 + 4.75404i) q^{37} +(0.573417 + 4.32102i) q^{38} -1.66186i q^{39} +(2.08285 - 0.813468i) q^{40} +(3.14237 - 8.63358i) q^{41} +(1.91346 + 2.73270i) q^{42} +(3.03705 - 4.33735i) q^{43} +(1.61855 + 4.44692i) q^{44} +(-0.142999 + 2.23149i) q^{45} +(-4.01715 + 2.31930i) q^{46} +(-8.53665 + 0.746860i) q^{47} +(0.996195 - 0.0871557i) q^{48} +(-3.57579 + 2.06448i) q^{49} +(-1.89996 + 4.62495i) q^{50} +(-1.98005 - 5.44015i) q^{51} +(0.953207 - 1.36132i) q^{52} +(3.33639 + 4.76486i) q^{53} +(-0.342020 + 0.939693i) q^{54} +(-9.69182 - 4.24768i) q^{55} +3.33601i q^{56} +(-2.65710 - 3.45540i) q^{57} +(-2.00895 - 2.00895i) q^{58} +(4.99554 - 4.19175i) q^{59} +(-1.39707 + 1.74591i) q^{60} +(-0.786127 + 4.45835i) q^{61} +(5.76443 + 4.03630i) q^{62} +(-3.02345 - 1.40986i) q^{63} +(0.866025 + 0.500000i) q^{64} +(0.730267 + 3.64358i) q^{65} +(-3.62516 - 3.04187i) q^{66} +(-0.765374 - 8.74826i) q^{67} +(1.49838 - 5.59202i) q^{68} +(2.31930 - 4.01715i) q^{69} +(-5.39601 - 5.15053i) q^{70} +(-9.46543 + 1.66901i) q^{71} +(-0.819152 + 0.573576i) q^{72} +(-1.90308 - 4.08117i) q^{73} +(-4.32161 - 5.15029i) q^{74} +(-0.667056 - 4.95530i) q^{75} +(-0.194634 - 4.35455i) q^{76} +(11.1631 - 11.1631i) q^{77} +(-0.144841 + 1.65554i) q^{78} +(16.1906 + 5.89289i) q^{79} +(-2.14582 + 0.628840i) q^{80} +(-0.173648 - 0.984808i) q^{81} +(-3.88287 + 8.32685i) q^{82} +(-2.14229 + 0.574024i) q^{83} +(-1.66801 - 2.88907i) q^{84} +(6.73174 + 11.0573i) q^{85} +(-3.40351 + 4.05615i) q^{86} +(2.74428 + 0.735326i) q^{87} +(-1.22481 - 4.57107i) q^{88} +(-15.9362 + 5.80031i) q^{89} +(0.336942 - 2.21054i) q^{90} +(-5.45977 - 0.962705i) q^{91} +(4.20400 - 1.96036i) q^{92} +(-7.01029 - 0.613321i) q^{93} +8.56926 q^{94} +(7.34400 + 6.40825i) q^{95} -1.00000 q^{96} +(17.2945 + 1.51307i) q^{97} +(3.74212 - 1.74498i) q^{98} +(4.66042 + 0.821758i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 120 q + 12 q^{5} + 12 q^{7}+O(q^{10}) $ 120 * q + 12 * q^5 + 12 * q^7	$ 120 q + 12 q^{5} + 12 q^{7} + 12 q^{10} - 48 q^{13} - 12 q^{17} + 60 q^{21} + 12 q^{22} + 48 q^{23} + 12 q^{25} + 12 q^{26} - 12 q^{30} + 24 q^{33} - 24 q^{38} - 36 q^{41} + 24 q^{43} + 96 q^{47} + 24 q^{52} - 36 q^{55} + 12 q^{57} - 24 q^{58} - 12 q^{60} - 24 q^{61} + 24 q^{62} - 24 q^{66} + 72 q^{67} + 12 q^{68} + 96 q^{70} + 36 q^{73} - 12 q^{76} - 24 q^{78} - 12 q^{80} - 24 q^{82} - 60 q^{83} - 36 q^{85} - 72 q^{86} + 12 q^{87} - 144 q^{91} - 12 q^{92} + 48 q^{93} + 156 q^{95} - 120 q^{96} - 216 q^{97} - 96 q^{98}+O(q^{100}) $ 120 * q + 12 * q^5 + 12 * q^7 + 12 * q^10 - 48 * q^13 - 12 * q^17 + 60 * q^21 + 12 * q^22 + 48 * q^23 + 12 * q^25 + 12 * q^26 - 12 * q^30 + 24 * q^33 - 24 * q^38 - 36 * q^41 + 24 * q^43 + 96 * q^47 + 24 * q^52 - 36 * q^55 + 12 * q^57 - 24 * q^58 - 12 * q^60 - 24 * q^61 + 24 * q^62 - 24 * q^66 + 72 * q^67 + 12 * q^68 + 96 * q^70 + 36 * q^73 - 12 * q^76 - 24 * q^78 - 12 * q^80 - 24 * q^82 - 60 * q^83 - 36 * q^85 - 72 * q^86 + 12 * q^87 - 144 * q^91 - 12 * q^92 + 48 * q^93 + 156 * q^95 - 120 * q^96 - 216 * q^97 - 96 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/570\mathbb{Z}\right)^\times$.

$n$	$191$	$211$	$457$
$\chi(n)$	$1$	$e\left(\frac{5}{18}\right)$	$e\left(\frac{3}{4}\right)$

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 $

$2$	−0.996195	−	0.0871557i	−0.704416	−	0.0616284i
$2$	−0.996195	−	0.0871557i	−0.704416	−	0.0616284i
$3$	0.906308	−	0.422618i	0.523257	−	0.243999i
$3$	0.906308	−	0.422618i	0.523257	−	0.243999i
$4$	0.984808	+	0.173648i	0.492404	+	0.0868241i
$5$	−1.80134	+	1.32483i	−0.805583	+	0.592483i
$5$	−1.80134	+	1.32483i	−0.805583	+	0.592483i
$6$	−0.939693	+	0.342020i	−0.383628	+	0.139629i
$7$	−0.863423	−	3.22234i	−0.326343	−	1.21793i	−0.912955	−	0.408061i	$-0.866205\pi$
$7$	−0.863423	−	3.22234i	−0.326343	−	1.21793i	0.586611	−	0.809869i	$-0.300462\pi$
$8$	−0.965926	−	0.258819i	−0.341506	−	0.0915064i
$9$	0.642788	−	0.766044i	0.214263	−	0.255348i
$10$	1.90995	−	1.16279i	0.603980	−	0.367707i
$11$	2.36616	+	4.09831i	0.713424	+	1.23569i	0.963564	+	0.267476i	$0.0861897\pi$
$11$	2.36616	+	4.09831i	0.713424	+	1.23569i	−0.250141	+	0.968209i	$0.580477\pi$
$12$	0.965926	−	0.258819i	0.278839	−	0.0747146i
$13$	0.702334	−	1.50616i	0.194793	−	0.417734i	−0.784516	−	0.620109i	$-0.787088\pi$
$13$	0.702334	−	1.50616i	0.194793	−	0.417734i	0.979308	+	0.202375i	$0.0648661\pi$
$14$	0.579292	+	3.28533i	0.154822	+	0.878041i
$15$	−1.07267	+	1.96198i	−0.276962	+	0.506582i
$16$	0.939693	+	0.342020i	0.234923	+	0.0855050i
$17$	0.504570	−	5.76726i	0.122376	−	1.39877i	−0.648226	−	0.761448i	$-0.724489\pi$
$17$	0.504570	−	5.76726i	0.122376	−	1.39877i	0.770602	−	0.637317i	$-0.219956\pi$
$18$	−0.707107	+	0.707107i	−0.166667	+	0.166667i
$19$	−0.947837	−	4.25460i	−0.217449	−	0.976072i
$19$	−0.947837	−	4.25460i	−0.217449	−	0.976072i
$20$	−2.00403	+	0.991905i	−0.448114	+	0.221797i
$21$	−2.14435	−	2.55553i	−0.467935	−	0.557663i
$22$	−1.99996	−	4.28894i	−0.426394	−	0.914404i
$23$	3.79972	−	2.66059i	0.792296	−	0.554772i	−0.105895	−	0.994377i	$-0.533771\pi$
$23$	3.79972	−	2.66059i	0.792296	−	0.554772i	0.898191	+	0.439605i	$0.144882\pi$
$24$	−0.984808	+	0.173648i	−0.201023	+	0.0354458i
$25$	1.48964	−	4.77294i	0.297929	−	0.954588i
$26$	−0.830932	+	1.43922i	−0.162959	+	0.282254i
$27$	0.258819	−	0.965926i	0.0498097	−	0.185893i
$28$	−0.290753	−	3.32332i	−0.0549471	−	0.628048i
$29$	2.17640	+	1.82621i	0.404147	+	0.339119i	0.822094	−	0.569352i	$-0.192806\pi$
$29$	2.17640	+	1.82621i	0.404147	+	0.339119i	−0.417947	+	0.908471i	$0.637250\pi$
$30$	1.23959	−	1.86103i	0.226316	−	0.339776i
$31$	−6.09428	−	3.51853i	−1.09457	−	0.631948i	−0.159777	−	0.987153i	$-0.551078\pi$
$31$	−6.09428	−	3.51853i	−1.09457	−	0.631948i	−0.934788	+	0.355206i	$0.884411\pi$
$32$	−0.906308	−	0.422618i	−0.160214	−	0.0747091i
$33$	3.87649	+	2.71435i	0.674810	+	0.472507i
$34$	−1.00530	+	5.70133i	−0.172407	+	0.977771i
$35$	5.82437	+	4.66063i	0.984499	+	0.787791i
$36$	0.766044	−	0.642788i	0.127674	−	0.107131i
$37$	4.75404	+	4.75404i	0.781559	+	0.781559i	0.980094	−	0.198535i	$-0.0636183\pi$
$37$	4.75404	+	4.75404i	0.781559	+	0.781559i	−0.198535	+	0.980094i	$0.563618\pi$
$38$	0.573417	+	4.32102i	0.0930206	+	0.700962i
$39$		−	1.66186i		−	0.266111i
$40$	2.08285	−	0.813468i	0.329328	−	0.128621i
$41$	3.14237	−	8.63358i	0.490755	−	1.34834i	−0.409235	−	0.912429i	$-0.634205\pi$
$41$	3.14237	−	8.63358i	0.490755	−	1.34834i	0.899990	−	0.435910i	$-0.143573\pi$
$42$	1.91346	+	2.73270i	0.295253	+	0.421665i
$43$	3.03705	−	4.33735i	0.463145	−	0.661440i	−0.517850	−	0.855471i	$-0.673268\pi$
$43$	3.03705	−	4.33735i	0.463145	−	0.661440i	0.980995	+	0.194032i	$0.0621564\pi$
$44$	1.61855	+	4.44692i	0.244005	+	0.670399i
$45$	−0.142999	+	2.23149i	−0.0213170	+	0.332651i
$46$	−4.01715	+	2.31930i	−0.592296	+	0.341962i
$47$	−8.53665	+	0.746860i	−1.24520	+	0.108941i	−0.690637	−	0.723202i	$-0.742670\pi$
$47$	−8.53665	+	0.746860i	−1.24520	+	0.108941i	−0.554562	+	0.832143i	$0.687114\pi$
$48$	0.996195	−	0.0871557i	0.143788	−	0.0125798i
$49$	−3.57579	+	2.06448i	−0.510827	+	0.294926i
$50$	−1.89996	+	4.62495i	−0.268696	+	0.654066i
$51$	−1.98005	−	5.44015i	−0.277263	−	0.761773i
$52$	0.953207	−	1.36132i	0.132186	−	0.188781i
$53$	3.33639	+	4.76486i	0.458289	+	0.654504i	0.980088	−	0.198564i	$-0.0636278\pi$
$53$	3.33639	+	4.76486i	0.458289	+	0.654504i	−0.521799	+	0.853068i	$0.674739\pi$
$54$	−0.342020	+	0.939693i	−0.0465430	+	0.127876i
$55$	−9.69182	−	4.24768i	−1.30684	−	0.572757i
$56$			3.33601i			0.445793i
$57$	−2.65710	−	3.45540i	−0.351942	−	0.457679i
$58$	−2.00895	−	2.00895i	−0.263788	−	0.263788i
$59$	4.99554	−	4.19175i	0.650364	−	0.545720i	−0.256818	−	0.966460i	$-0.582674\pi$
$59$	4.99554	−	4.19175i	0.650364	−	0.545720i	0.907181	+	0.420740i	$0.138230\pi$
$60$	−1.39707	+	1.74591i	−0.180361	+	0.225396i
$61$	−0.786127	+	4.45835i	−0.100653	+	0.570833i	0.892214	+	0.451612i	$0.149151\pi$
$61$	−0.786127	+	4.45835i	−0.100653	+	0.570833i	−0.992868	+	0.119221i	$0.961960\pi$
$62$	5.76443	+	4.03630i	0.732083	+	0.512610i
$63$	−3.02345	−	1.40986i	−0.380919	−	0.177626i
$64$	0.866025	+	0.500000i	0.108253	+	0.0625000i
$65$	0.730267	+	3.64358i	0.0905785	+	0.451931i
$66$	−3.62516	−	3.04187i	−0.446227	−	0.374429i
$67$	−0.765374	−	8.74826i	−0.0935053	−	1.06877i	−0.887488	−	0.460830i	$-0.847552\pi$
$67$	−0.765374	−	8.74826i	−0.0935053	−	1.06877i	0.793983	−	0.607940i	$-0.208004\pi$
$68$	1.49838	−	5.59202i	0.181705	−	0.678132i
$69$	2.31930	−	4.01715i	0.279211	−	0.483608i
$70$	−5.39601	−	5.15053i	−0.644946	−	0.615606i
$71$	−9.46543	+	1.66901i	−1.12334	+	0.198075i	−0.704307	−	0.709896i	$-0.748742\pi$
$71$	−9.46543	+	1.66901i	−1.12334	+	0.198075i	−0.419033	+	0.907971i	$0.637631\pi$
$72$	−0.819152	+	0.573576i	−0.0965380	+	0.0675966i
$73$	−1.90308	−	4.08117i	−0.222739	−	0.477665i	0.762903	−	0.646512i	$-0.223773\pi$
$73$	−1.90308	−	4.08117i	−0.222739	−	0.477665i	−0.985642	+	0.168848i	$0.945995\pi$
$74$	−4.32161	−	5.15029i	−0.502376	−	0.598709i
$75$	−0.667056	−	4.95530i	−0.0770250	−	0.572189i
$76$	−0.194634	−	4.35455i	−0.0223260	−	0.499501i
$77$	11.1631	−	11.1631i	1.27216	−	1.27216i
$78$	−0.144841	+	1.65554i	−0.0164000	+	0.187453i
$79$	16.1906	+	5.89289i	1.82158	+	0.663001i	0.994964	+	0.100238i	$0.0319603\pi$
$79$	16.1906	+	5.89289i	1.82158	+	0.663001i	0.826618	+	0.562764i	$0.190262\pi$
$80$	−2.14582	+	0.628840i	−0.239910	+	0.0703064i
$81$	−0.173648	−	0.984808i	−0.0192942	−	0.109423i
$82$	−3.88287	+	8.32685i	−0.428792	+	0.919547i
$83$	−2.14229	+	0.574024i	−0.235146	+	0.0630073i	−0.374468	−	0.927240i	$-0.622175\pi$
$83$	−2.14229	+	0.574024i	−0.235146	+	0.0630073i	0.139321	+	0.990247i	$0.455508\pi$
$84$	−1.66801	−	2.88907i	−0.181994	−	0.315223i
$85$	6.73174	+	11.0573i	0.730160	+	1.19933i
$86$	−3.40351	+	4.05615i	−0.367010	+	0.437386i
$87$	2.74428	+	0.735326i	0.294217	+	0.0788353i
$88$	−1.22481	−	4.57107i	−0.130566	−	0.487277i
$89$	−15.9362	+	5.80031i	−1.68924	+	0.614832i	−0.994529	−	0.104461i	$-0.966688\pi$
$89$	−15.9362	+	5.80031i	−1.68924	+	0.614832i	−0.694707	+	0.719292i	$0.744466\pi$
$90$	0.336942	−	2.21054i	0.0355168	−	0.233011i
$91$	−5.45977	−	0.962705i	−0.572340	−	0.100919i
$92$	4.20400	−	1.96036i	0.438297	−	0.204381i
$93$	−7.01029	−	0.613321i	−0.726933	−	0.0635984i
$94$	8.56926			0.883851
$95$	7.34400	+	6.40825i	0.753479	+	0.657473i
$96$	−1.00000			−0.102062
$97$	17.2945	+	1.51307i	1.75599	+	0.153629i	0.919173	−	0.393855i	$-0.128859\pi$
$97$	17.2945	+	1.51307i	1.75599	+	0.153629i	0.836816	+	0.547484i	$0.184414\pi$
$98$	3.74212	−	1.74498i	0.378011	−	0.176269i
$99$	4.66042	+	0.821758i	0.468390	+	0.0825898i
$100$	2.29583	−	4.44175i	0.229583	−	0.444175i
$101$	−2.04874	+	0.745681i	−0.203857	+	0.0741980i	−0.441931	−	0.897049i	$-0.645706\pi$
$101$	−2.04874	+	0.745681i	−0.203857	+	0.0741980i	0.238073	+	0.971247i	$0.423484\pi$
$102$	1.49838	+	5.59202i	0.148361	+	0.553693i
$103$	−3.12144	−	0.836387i	−0.307564	−	0.0824116i	0.101736	−	0.994811i	$-0.467560\pi$
$103$	−3.12144	−	0.836387i	−0.307564	−	0.0824116i	−0.409300	+	0.912400i	$0.634227\pi$
$104$	−1.06823	+	1.27306i	−0.104748	+	0.124834i
$105$	7.24834	+	1.76248i	0.707366	+	0.172001i
$106$	−2.90841	−	5.03752i	−0.282490	−	0.489287i
$107$	5.66486	−	1.51789i	0.547642	−	0.146740i	0.0256194	−	0.999672i	$-0.491844\pi$
$107$	5.66486	−	1.51789i	0.547642	−	0.146740i	0.522023	+	0.852931i	$0.325178\pi$
$108$	0.422618	−	0.906308i	0.0406665	−	0.0872095i
$109$	0.717509	+	4.06920i	0.0687249	+	0.389758i	0.999696	+	0.0246649i	$0.00785187\pi$
$109$	0.717509	+	4.06920i	0.0687249	+	0.389758i	−0.930971	+	0.365094i	$0.881037\pi$
$110$	9.28473	+	5.07621i	0.885264	+	0.483998i
$111$	6.31776	+	2.29948i	0.599656	+	0.218257i
$112$	0.290753	−	3.32332i	0.0274735	−	0.314024i
$113$	−11.5522	+	11.5522i	−1.08674	+	1.08674i	−0.0908781	+	0.995862i	$0.528967\pi$
$113$	−11.5522	+	11.5522i	−1.08674	+	1.08674i	−0.995862	+	0.0908781i	$0.971033\pi$
$114$	2.34583	+	3.67384i	0.219707	+	0.344086i
$115$	−3.31975	+	9.82662i	−0.309568	+	0.916337i
$116$	1.82621	+	2.17640i	0.169560	+	0.202073i
$117$	−0.702334	−	1.50616i	−0.0649308	−	0.139245i
$118$	−5.34186	+	3.74041i	−0.491758	+	0.344333i
$119$	−19.0197	+	3.35369i	−1.74353	+	0.307432i
$120$	1.54392	−	1.61750i	0.140940	−	0.147657i
$121$	−5.69741	+	9.86820i	−0.517946	+	0.897109i
$122$	1.17171	−	4.37287i	0.106081	−	0.395901i
$123$	−0.800758	−	9.15270i	−0.0722019	−	0.825271i
$124$	−5.39071	−	4.52334i	−0.484100	−	0.406208i
$125$	3.63999	+	10.5712i	0.325570	+	0.945518i
$126$	2.88907	+	1.66801i	0.257379	+	0.148598i
$127$	5.31869	+	2.48015i	0.471958	+	0.220077i	0.644020	−	0.765009i	$-0.277265\pi$
$127$	5.31869	+	2.48015i	0.471958	+	0.220077i	−0.172062	+	0.985086i	$0.555043\pi$
$128$	−0.819152	−	0.573576i	−0.0724035	−	0.0506975i
$129$	0.919454	−	5.21448i	0.0809534	−	0.459110i
$130$	−0.409929	−	3.69336i	−0.0359532	−	0.323929i
$131$	−4.70978	+	3.95197i	−0.411495	+	0.345285i	−0.824917	−	0.565254i	$-0.808778\pi$
$131$	−4.70978	+	3.95197i	−0.411495	+	0.345285i	0.413422	+	0.910540i	$0.364334\pi$
$132$	3.34625	+	3.34625i	0.291254	+	0.291254i
$133$	−12.8914	+	6.72777i	−1.11782	+	0.583372i
$134$			8.78168i			0.758622i
$135$	0.813468	+	2.08285i	0.0700122	+	0.179263i
$136$	−1.98005	+	5.44015i	−0.169788	+	0.466489i
$137$	0.873572	+	1.24759i	0.0746343	+	0.106589i	0.854734	−	0.519067i	$-0.173720\pi$
$137$	0.873572	+	1.24759i	0.0746343	+	0.106589i	−0.780099	+	0.625656i	$0.784832\pi$
$138$	−2.66059	+	3.79972i	−0.226485	+	0.323454i
$139$	5.82367	+	16.0004i	0.493958	+	1.35714i	0.897030	+	0.441969i	$0.145720\pi$
$139$	5.82367	+	16.0004i	0.493958	+	1.35714i	−0.403073	+	0.915168i	$0.632058\pi$
$140$	4.92658	+	5.60122i	0.416372	+	0.473390i
$141$	−7.42119	+	4.28463i	−0.624977	+	0.360831i
$142$	9.57487	−	0.837693i	0.803505	−	0.0702976i
$143$	7.83454	−	0.685434i	0.655158	−	0.0573189i
$144$	0.866025	−	0.500000i	0.0721688	−	0.0416667i
$145$	−6.33985	−	0.406271i	−0.526496	−	0.0337390i
$146$	1.54014	+	4.23150i	0.127463	+	0.350202i
$147$	−2.36828	+	3.38225i	−0.195332	+	0.278964i
$148$	3.85628	+	5.50734i	0.316985	+	0.452701i
$149$	0.631721	−	1.73564i	0.0517526	−	0.142189i	−0.911123	−	0.412134i	$-0.864783\pi$
$149$	0.631721	−	1.73564i	0.0517526	−	0.142189i	0.962876	+	0.269945i	$0.0870056\pi$
$150$	0.232634	+	4.99459i	0.0189945	+	0.407806i
$151$		−	0.372214i		−	0.0302903i	−0.999885	−	0.0151452i	$-0.995179\pi$
$151$		−	0.372214i		−	0.0302903i	0.999885	−	0.0151452i	$-0.00482104\pi$
$152$	−0.185631	+	4.35494i	−0.0150566	+	0.353233i
$153$	−4.09364	−	4.09364i	−0.330951	−	0.330951i
$154$	−12.0936	+	10.1477i	−0.974529	+	0.817727i
$155$	15.6393	−	1.73582i	1.25618	−	0.139424i
$156$	0.288580	−	1.63662i	0.0231049	−	0.131034i
$157$	−19.1011	−	13.3747i	−1.52444	−	1.06742i	−0.972320	−	0.233653i	$-0.924932\pi$
$157$	−19.1011	−	13.3747i	−1.52444	−	1.06742i	−0.552115	−	0.833768i	$-0.686179\pi$
$158$	−15.6154	−	7.28156i	−1.24229	−	0.579290i
$159$	5.03752	+	2.90841i	0.399501	+	0.230652i
$160$	2.19247	−	0.439426i	0.173330	−	0.0347397i
$161$	−11.8541	−	9.94677i	−0.934234	−	0.783915i
$162$	0.0871557	+	0.996195i	0.00684760	+	0.0782684i
$163$	1.81433	−	6.77117i	0.142109	−	0.530359i	−0.857758	−	0.514054i	$-0.828143\pi$
$163$	1.81433	−	6.77117i	0.142109	−	0.530359i	0.999867	−	0.0163050i	$-0.00519027\pi$
$164$	4.59383	−	7.95675i	0.358718	−	0.621318i
$165$	−10.5789	+	0.246235i	−0.823568	+	0.0191694i
$166$	2.18416	−	0.385127i	0.169524	−	0.0298916i
$167$	−12.5438	+	8.78324i	−0.970666	+	0.679668i	−0.947397	−	0.320062i	$-0.896296\pi$
$167$	−12.5438	+	8.78324i	−0.970666	+	0.679668i	−0.0232693	+	0.999729i	$0.507408\pi$
$168$	1.40986	+	3.02345i	0.108773	+	0.233264i
$169$	6.58099	+	7.84292i	0.506230	+	0.603302i
$170$	−5.74242	−	11.6019i	−0.440424	−	0.889824i
$171$	−3.86847	−	2.00872i	−0.295829	−	0.153610i
$172$	3.74408	−	3.74408i	0.285483	−	0.285483i
$173$	−1.26908	+	14.5056i	−0.0964862	+	1.10284i	0.781418	+	0.624007i	$0.214496\pi$
$173$	−1.26908	+	14.5056i	−0.0964862	+	1.10284i	−0.877905	+	0.478835i	$0.841059\pi$
$174$	−2.66975	−	0.971708i	−0.202393	−	0.0736650i
$175$	−16.6662	−	0.679071i	−1.25985	−	0.0513329i
$176$	0.821758	+	4.66042i	0.0619424	+	0.351293i
$177$	2.75598	−	5.91022i	0.207152	−	0.444240i
$178$	16.3811	−	4.38931i	1.22782	−	0.328992i
$179$	3.04823	+	5.27970i	0.227836	+	0.394623i	0.957166	−	0.289538i	$-0.0935017\pi$
$179$	3.04823	+	5.27970i	0.227836	+	0.394623i	−0.729331	+	0.684161i	$0.760168\pi$
$180$	−0.528321	+	2.17276i	−0.0393787	+	0.161948i
$181$	−16.4425	+	19.5954i	−1.22216	+	1.45651i	−0.373454	+	0.927649i	$0.621826\pi$
$181$	−16.4425	+	19.5954i	−1.22216	+	1.45651i	−0.848706	+	0.528865i	$0.822618\pi$
$182$	5.35509	+	1.43489i	0.396946	+	0.106361i
$183$	1.17171	+	4.37287i	0.0866150	+	0.323252i
$184$	−4.35886	+	1.58650i	−0.321339	+	0.116958i
$185$	−14.8619	−	2.26534i	−1.09267	−	0.166551i
$186$	6.93016	+	1.22197i	0.508144	+	0.0895995i
$187$	24.8299	−	11.5784i	1.81574	−	0.846694i
$188$	−8.53665	−	0.746860i	−0.622599	−	0.0544704i
$189$	−3.33601			−0.242659
$190$	−6.75754	−	7.02394i	−0.490243	−	0.509570i
$191$	17.2075			1.24509			0.622544	−	0.782585i	$-0.286099\pi$
$191$	17.2075			1.24509			0.622544	+	0.782585i	$0.286099\pi$
$192$	0.996195	+	0.0871557i	0.0718942	+	0.00628992i
$193$	5.73852	−	2.67592i	0.413068	−	0.192617i	−0.204965	−	0.978769i	$-0.565708\pi$
$193$	5.73852	−	2.67592i	0.413068	−	0.192617i	0.618032	+	0.786153i	$0.287930\pi$
$194$	−17.0968	−	3.01463i	−1.22748	−	0.216438i
$195$	2.20169	+	2.99358i	0.157666	+	0.214375i
$196$	−3.87996	+	1.41219i	−0.277140	+	0.100871i
$197$	3.08411	+	11.5101i	0.219734	+	0.820058i	0.984446	+	0.175686i	$0.0562144\pi$
$197$	3.08411	+	11.5101i	0.219734	+	0.820058i	−0.764712	+	0.644372i	$0.777119\pi$
$198$	−4.57107	−	1.22481i	−0.324852	−	0.0870437i
$199$	11.7877	−	14.0480i	0.835607	−	0.995838i	−0.164348	−	0.986402i	$-0.552552\pi$
$199$	11.7877	−	14.0480i	0.835607	−	0.995838i	0.999955	−	0.00943554i	$-0.00300347\pi$
$200$	−2.67421	+	4.22476i	−0.189095	+	0.298736i
$201$	−4.39084	−	7.60516i	−0.309706	−	0.536427i
$202$	2.10594	−	0.564284i	0.148173	−	0.0397029i
$203$	4.00553	−	8.58988i	0.281133	−	0.602891i
$204$	−1.00530	−	5.70133i	−0.0703850	−	0.399173i
$205$	5.77757	+	19.7151i	0.403523	+	1.37696i
$206$	3.03666	+	1.10526i	0.211574	+	0.0770068i
$207$	0.404281	−	4.62095i	0.0280995	−	0.321178i
$208$	1.17512	−	1.17512i	0.0814796	−	0.0814796i
$209$	15.1939	−	13.9516i	1.05099	−	0.965051i
$210$	−7.06715	−	2.38751i	−0.487680	−	0.164754i
$211$	5.40252	+	6.43847i	0.371925	+	0.443243i	0.919248	−	0.393679i	$-0.128798\pi$
$211$	5.40252	+	6.43847i	0.371925	+	0.443243i	−0.547323	+	0.836921i	$0.684353\pi$
$212$	2.45830	+	5.27183i	0.168836	+	0.362071i
$213$	−7.87324	+	5.51290i	−0.539465	+	0.377738i
$214$	−5.77559	+	1.01839i	−0.394811	+	0.0696159i
$215$	0.275509	+	11.8366i	0.0187896	+	0.807250i
$216$	−0.500000	+	0.866025i	−0.0340207	+	0.0589256i
$217$	−6.07597	+	22.6758i	−0.412464	+	1.53934i
$218$	−0.360125	−	4.11625i	−0.0243907	−	0.278787i
$219$	−3.44955	−	2.89452i	−0.233099	−	0.195593i
$220$	−8.80698	−	5.86611i	−0.593766	−	0.395493i
$221$	−8.33204	−	4.81051i	−0.560474	−	0.323590i
$222$	−6.09331	−	2.84136i	−0.408956	−	0.190699i
$223$	2.38841	+	1.67238i	0.159940	+	0.111991i	0.650807	−	0.759244i	$-0.274431\pi$
$223$	2.38841	+	1.67238i	0.159940	+	0.111991i	−0.490867	+	0.871235i	$0.663320\pi$
$224$	−0.579292	+	3.28533i	−0.0387056	+	0.219510i
$225$	−2.69876	−	4.20912i	−0.179917	−	0.280608i
$226$	12.5151	−	10.5014i	0.832491	−	0.698543i
$227$	−0.656344	−	0.656344i	−0.0435631	−	0.0435631i	0.684990	−	0.728553i	$-0.259807\pi$
$227$	−0.656344	−	0.656344i	−0.0435631	−	0.0435631i	−0.728553	+	0.684990i	$0.759807\pi$
$228$	−2.01671	−	3.86431i	−0.133560	−	0.255920i
$229$		−	6.83353i		−	0.451572i	−0.974177	−	0.225786i	$-0.927505\pi$
$229$		−	6.83353i		−	0.451572i	0.974177	−	0.225786i	$-0.0724951\pi$
$230$	4.16356	−	9.49989i	0.274537	−	0.626404i
$231$	5.39949	−	14.8350i	0.355261	−	0.976070i
$232$	−1.62958	−	2.32728i	−0.106987	−	0.152793i
$233$	14.7094	−	21.0073i	0.963648	−	1.37623i	0.0374067	−	0.999300i	$-0.488090\pi$
$233$	14.7094	−	21.0073i	0.963648	−	1.37623i	0.926241	−	0.376932i	$-0.123021\pi$
$234$	0.568391	+	1.56164i	0.0371569	+	0.102088i
$235$	14.3879	−	12.6550i	0.938565	−	0.825519i
$236$	5.64753	−	3.26061i	0.367623	−	0.212247i
$237$	17.1641	−	1.50166i	1.11493	−	0.0975435i
$238$	19.2396	−	1.68325i	1.24712	−	0.109109i
$239$	−1.22812	+	0.709053i	−0.0794402	+	0.0458648i	−0.539194	−	0.842182i	$-0.681271\pi$
$239$	−1.22812	+	0.709053i	−0.0794402	+	0.0458648i	0.459754	+	0.888046i	$0.347938\pi$
$240$	−1.67902	+	1.47679i	−0.108380	+	0.0953262i
$241$	1.63443	+	4.49056i	0.105283	+	0.289263i	0.981137	−	0.193313i	$-0.0619234\pi$
$241$	1.63443	+	4.49056i	0.105283	+	0.289263i	−0.875854	+	0.482576i	$0.839701\pi$
$242$	6.53580	−	9.33409i	0.420137	−	0.600018i
$243$	−0.573576	−	0.819152i	−0.0367949	−	0.0525486i
$244$	−1.54837	+	4.25411i	−0.0991241	+	0.272341i
$245$	3.70612	−	8.45616i	0.236775	−	0.540244i
$246$			9.18766i			0.585784i
$247$	−7.07381	−	1.56056i	−0.450096	−	0.0992958i
$248$	4.97596	+	4.97596i	0.315974	+	0.315974i
$249$	−1.69898	+	1.42561i	−0.107668	+	0.0903444i
$250$	−2.70479	−	10.8482i	−0.171066	−	0.686102i
$251$	2.92373	−	16.5813i	0.184544	−	1.04660i	−0.741995	−	0.670406i	$-0.766120\pi$
$251$	2.92373	−	16.5813i	0.184544	−	1.04660i	0.926539	−	0.376198i	$-0.122769\pi$
$252$	−2.73270	−	1.91346i	−0.172144	−	0.120536i
$253$	19.8947	+	9.27703i	1.25077	+	0.583242i
$254$	−5.08229	−	2.93426i	−0.318891	−	0.184112i
$255$	10.7740	+	7.17632i	0.674696	+	0.449398i
$256$	0.766044	+	0.642788i	0.0478778	+	0.0401742i
$257$	0.975339	+	11.1482i	0.0608400	+	0.695404i	0.963965	+	0.266027i	$0.0857112\pi$
$257$	0.975339	+	11.1482i	0.0608400	+	0.695404i	−0.903125	+	0.429377i	$0.858733\pi$
$258$	−1.37043	+	5.11451i	−0.0853191	+	0.318415i
$259$	11.2144	−	19.4239i	0.696827	−	1.20694i
$260$	0.0864713	+	3.71504i	0.00536272	+	0.230397i
$261$	2.79792	−	0.493349i	0.173187	−	0.0305375i
$262$	5.03629	−	3.52645i	0.311143	−	0.217865i
$263$	−13.2190	−	28.3483i	−0.815119	−	1.74803i	−0.647336	−	0.762205i	$-0.724117\pi$
$263$	−13.2190	−	28.3483i	−0.815119	−	1.74803i	−0.167784	−	0.985824i	$-0.553661\pi$
$264$	−3.04187	−	3.62516i	−0.187214	−	0.223113i
$265$	−12.3226	−	4.16298i	−0.756972	−	0.255730i
$266$	13.4287	−	5.57861i	0.823365	−	0.342047i
$267$	−11.9918	+	11.9918i	−0.733887	+	0.733887i
$268$	0.765374	−	8.74826i	0.0467527	−	0.534385i
$269$	4.94400	+	1.79947i	0.301441	+	0.109716i	0.488313	−	0.872669i	$-0.337613\pi$
$269$	4.94400	+	1.79947i	0.301441	+	0.109716i	−0.186872	+	0.982384i	$0.559835\pi$
$270$	−0.628840	−	2.14582i	−0.0382700	−	0.130591i
$271$	1.55574	+	8.82306i	0.0945047	+	0.535963i	0.994898	+	0.100886i	$0.0321677\pi$
$271$	1.55574	+	8.82306i	0.0945047	+	0.535963i	−0.900393	+	0.435077i	$0.856721\pi$
$272$	2.44666	−	5.24688i	0.148350	−	0.318139i
$273$	−5.35509	+	1.43489i	−0.324105	+	0.0868437i
$274$	−0.761513	−	1.31898i	−0.0460047	−	0.0796825i
$275$	23.0857	−	5.18851i	1.39212	−	0.312879i
$276$	2.98164	−	3.55337i	0.179473	−	0.213888i
$277$	−14.8537	−	3.98004i	−0.892472	−	0.239137i	−0.216692	−	0.976240i	$-0.569527\pi$
$277$	−14.8537	−	3.98004i	−0.892472	−	0.239137i	−0.675780	+	0.737103i	$0.736193\pi$
$278$	−4.40698	−	16.4471i	−0.264313	−	0.986431i
$279$	−6.61268	+	2.40682i	−0.395891	+	0.144093i
$280$	−4.41965	−	6.00929i	−0.264125	−	0.359124i
$281$	9.83385	+	1.73397i	0.586638	+	0.103440i	0.459086	−	0.888392i	$-0.348177\pi$
$281$	9.83385	+	1.73397i	0.586638	+	0.103440i	0.127552	+	0.991832i	$0.459288\pi$
$282$	7.76638	−	3.62152i	0.462481	−	0.215659i
$283$	0.575823	+	0.0503780i	0.0342291	+	0.00299466i	0.104257	−	0.994550i	$-0.466753\pi$
$283$	0.575823	+	0.0503780i	0.0342291	+	0.00299466i	−0.0700283	+	0.997545i	$0.522309\pi$
$284$	−9.61145			−0.570334
$285$	9.36417	+	2.70414i	0.554685	+	0.160179i
$286$	−7.86447			−0.465036
$287$	−30.5335	−	2.67134i	−1.80234	−	0.157684i
$288$	−0.906308	+	0.422618i	−0.0534047	+	0.0249030i
$289$	−16.2649	−	2.86794i	−0.956760	−	0.168703i
$290$	6.28032	+	0.957280i	0.368793	+	0.0562134i
$291$	16.3136	−	5.93766i	0.956319	−	0.348072i
$292$	−1.16548	−	4.34963i	−0.0682046	−	0.254543i
$293$	−5.85414	−	1.56861i	−0.342002	−	0.0916393i	0.0837298	−	0.996488i	$-0.473317\pi$
$293$	−5.85414	−	1.56861i	−0.342002	−	0.0916393i	−0.425732	+	0.904849i	$0.639983\pi$
$294$	2.65405	−	3.16297i	0.154787	−	0.184468i
$295$	−3.44529	+	14.1690i	−0.200593	+	0.824952i
$296$	−3.36161	−	5.82248i	−0.195390	−	0.338425i
$297$	4.57107	−	1.22481i	0.265240	−	0.0710709i
$298$	−0.780589	+	1.67398i	−0.0452183	+	0.0969709i
$299$	−1.33861	−	7.59162i	−0.0774136	−	0.439035i
$300$	0.203558	−	4.99585i	0.0117524	−	0.288436i
$301$	−16.5987	−	6.04142i	−0.956731	−	0.348222i
$302$	−0.0324406	+	0.370797i	−0.00186674	+	0.0213370i
$303$	−1.54165	+	1.54165i	−0.0885656	+	0.0885656i
$304$	0.564483	−	4.32219i	0.0323753	−	0.247895i
$305$	−4.49048	−	9.07248i	−0.257124	−	0.519489i
$306$	3.72128	+	4.43485i	0.212731	+	0.253524i
$307$	−7.58931	−	16.2753i	−0.433145	−	0.928883i	−0.994832	−	0.101533i	$-0.967625\pi$
$307$	−7.58931	−	16.2753i	−0.433145	−	0.928883i	0.561687	−	0.827350i	$-0.310152\pi$
$308$	12.9320	−	9.05509i	0.736869	−	0.515961i
$309$	−3.18246	+	0.561153i	−0.181044	+	0.0319229i
$310$	−15.7311	+	0.366158i	−0.893467	+	0.0207964i
$311$	12.3501	−	21.3909i	0.700307	−	1.21297i	−0.268051	−	0.963405i	$-0.586380\pi$
$311$	12.3501	−	21.3909i	0.700307	−	1.21297i	0.968358	−	0.249563i	$-0.0802871\pi$
$312$	−0.430122	+	1.60524i	−0.0243509	+	0.0908787i
$313$	1.60496	+	18.3448i	0.0907176	+	1.03691i	0.896011	+	0.444031i	$0.146452\pi$
$313$	1.60496	+	18.3448i	0.0907176	+	1.03691i	−0.805294	+	0.592876i	$0.797992\pi$
$314$	17.8627	+	14.9886i	1.00805	+	0.845857i
$315$	7.31409	−	1.46593i	0.412102	−	0.0825958i
$316$	14.9213	+	8.61482i	0.839389	+	0.484622i
$317$	−2.13522	−	0.995667i	−0.119926	−	0.0559223i	0.361729	−	0.932283i	$-0.382186\pi$
$317$	−2.13522	−	0.995667i	−0.119926	−	0.0559223i	−0.481655	+	0.876361i	$0.659964\pi$
$318$	−4.76486	−	3.33639i	−0.267200	−	0.187096i
$319$	−2.33468	+	13.2406i	−0.130717	+	0.741334i
$320$	−2.22242	+	0.246668i	−0.124237	+	0.0137892i
$321$	4.49261	−	3.76975i	0.250753	−	0.210407i
$322$	10.9421	+	10.9421i	0.609778	+	0.609778i
$323$	−25.0156	+	3.31968i	−1.39191	+	0.184712i
$324$		−	1.00000i		−	0.0555556i
$325$	−6.14259	−	5.59584i	−0.340730	−	0.310402i
$326$	−2.39757	+	6.58728i	−0.132789	+	0.364835i
$327$	2.37000	+	3.38471i	0.131061	+	0.187175i
$328$	−5.26983	+	7.52609i	−0.290978	+	0.415559i
$329$	9.77738	+	26.8631i	0.539044	+	1.48101i
$330$	10.5601	+	0.676715i	0.581316	+	0.0372519i
$331$	−5.21727	+	3.01219i	−0.286767	+	0.165565i	−0.636483	−	0.771291i	$-0.719611\pi$
$331$	−5.21727	+	3.01219i	−0.286767	+	0.165565i	0.349716	+	0.936856i	$0.386278\pi$
$332$	−2.20942	+	0.193299i	−0.121258	+	0.0106087i
$333$	6.69764	−	0.585968i	0.367028	−	0.0321108i
$334$	13.2615	−	7.65656i	0.725640	−	0.418948i
$335$	12.9687	+	14.7446i	0.708554	+	0.805583i
$336$	−1.14098	−	3.13482i	−0.0622457	−	0.171019i
$337$	6.38328	−	9.11627i	0.347719	−	0.496595i	−0.606755	−	0.794889i	$-0.707529\pi$
$337$	6.38328	−	9.11627i	0.347719	−	0.496595i	0.954474	+	0.298295i	$0.0964178\pi$
$338$	−5.87239	−	8.38665i	−0.319416	−	0.456173i
$339$	−5.58768	+	15.3520i	−0.303481	+	0.833808i
$340$	4.70940	+	12.0582i	0.255403	+	0.653949i
$341$		−	33.3016i		−	1.80339i
$342$	3.67868	+	2.33823i	0.198920	+	0.126437i
$343$	−6.77252	−	6.77252i	−0.365682	−	0.365682i
$344$	−4.05615	+	3.40351i	−0.218693	+	0.183505i
$345$	1.14419	+	10.3089i	0.0616014	+	0.555014i
$346$	2.52850	−	14.3398i	0.135933	−	0.770914i
$347$	−20.6520	−	14.4607i	−1.10866	−	0.776290i	−0.132033	−	0.991245i	$-0.542151\pi$
$347$	−20.6520	−	14.4607i	−1.10866	−	0.776290i	−0.976624	+	0.214955i	$0.931039\pi$
$348$	2.57490	+	1.20069i	0.138029	+	0.0643639i
$349$	5.62606	+	3.24821i	0.301156	+	0.173873i	0.642962	−	0.765898i	$-0.277705\pi$
$349$	5.62606	+	3.24821i	0.301156	+	0.173873i	−0.341806	+	0.939771i	$0.611039\pi$
$350$	16.5436	+	2.12904i	0.884294	+	0.113802i
$351$	−1.27306	−	1.06823i	−0.0679510	−	0.0570177i
$352$	−0.412449	−	4.71431i	−0.0219836	−	0.251274i
$353$	−1.34061	+	5.00322i	−0.0713534	+	0.266295i	−0.992382	−	0.123201i	$-0.960684\pi$
$353$	−1.34061	+	5.00322i	−0.0713534	+	0.266295i	0.921028	+	0.389496i	$0.127351\pi$
$354$	−3.26061	+	5.64753i	−0.173299	+	0.300163i
$355$	14.8393	−	15.5465i	0.787587	−	0.825125i
$356$	−16.7013	+	2.94490i	−0.885169	+	0.156079i
$357$	−15.8204	+	11.0776i	−0.837303	+	0.586286i
$358$	−2.57648	−	5.52528i	−0.136171	−	0.292020i
$359$	−21.7998	−	25.9800i	−1.15055	−	1.37117i	−0.917029	−	0.398819i	$-0.869420\pi$
$359$	−21.7998	−	25.9800i	−1.15055	−	1.37117i	−0.233520	−	0.972352i	$-0.575024\pi$
$360$	0.715678	−	2.11844i	0.0377196	−	0.111652i
$361$	−17.2032	+	8.06533i	−0.905432	+	0.424491i
$362$	18.0878	−	18.0878i	0.950672	−	0.950672i
$363$	−0.993124	+	11.3515i	−0.0521255	+	0.595797i
$364$	−5.20966	−	1.89616i	−0.273060	−	0.0993858i
$365$	8.83495	+	4.83031i	0.462442	+	0.252830i
$366$	−0.786127	−	4.45835i	−0.0410915	−	0.233042i
$367$	−7.75812	+	16.6373i	−0.404970	+	0.868462i	0.593025	+	0.805184i	$0.297933\pi$
$367$	−7.75812	+	16.6373i	−0.404970	+	0.868462i	−0.997996	+	0.0632783i	$0.979844\pi$
$368$	4.48054	−	1.20056i	0.233565	−	0.0625834i
$369$	−4.59383	−	7.95675i	−0.239145	−	0.414212i
$370$	14.6079	+	3.55202i	0.759431	+	0.184661i
$371$	12.4733	−	14.8651i	0.647581	−	0.771757i
$372$	−6.79729	−	1.82133i	−0.352423	−	0.0944314i
$373$	6.33625	+	23.6472i	0.328079	+	1.22441i	0.911181	+	0.412007i	$0.135172\pi$
$373$	6.33625	+	23.6472i	0.328079	+	1.22441i	−0.583102	+	0.812399i	$0.698161\pi$
$374$	−25.7445	+	9.37024i	−1.33122	+	0.484523i
$375$	7.76654	+	8.04245i	0.401062	+	0.415310i
$376$	8.43907	+	1.48804i	0.435212	+	0.0767396i
$377$	4.27913	−	1.99539i	0.220386	−	0.102768i
$378$	3.32332	+	0.290753i	0.170933	+	0.0149547i
$379$	3.67972			0.189015			0.0945074	−	0.995524i	$-0.469872\pi$
$379$	3.67972			0.189015			0.0945074	+	0.995524i	$0.469872\pi$
$380$	6.11965	+	7.58617i	0.313931	+	0.389162i
$381$	5.86853			0.300654
$382$	−17.1420	−	1.49973i	−0.877060	−	0.0767328i
$383$	11.6032	−	5.41068i	0.592898	−	0.276473i	−0.102922	−	0.994689i	$-0.532819\pi$
$383$	11.6032	−	5.41068i	0.592898	−	0.276473i	0.695819	+	0.718217i	$0.255041\pi$
$384$	−0.984808	−	0.173648i	−0.0502558	−	0.00886145i
$385$	−5.31932	+	34.8979i	−0.271098	+	1.77856i
$386$	−5.94990	+	2.16559i	−0.302842	+	0.110226i
$387$	−1.37043	−	5.11451i	−0.0696628	−	0.259985i
$388$	16.7690	+	4.49324i	0.851317	+	0.228110i
$389$	8.81416	−	10.5043i	0.446896	−	0.532590i	−0.494822	−	0.868994i	$-0.664767\pi$
$389$	8.81416	−	10.5043i	0.446896	−	0.532590i	0.941717	+	0.336405i	$0.109211\pi$
$390$	−1.93240	−	3.17408i	−0.0978511	−	0.160726i
$391$	−13.4271	−	23.2564i	−0.679037	−	1.17613i
$392$	3.98828	−	1.06866i	0.201438	−	0.0539753i
$393$	−2.59833	+	5.57214i	−0.131068	+	0.281077i
$394$	−2.06921	−	11.7351i	−0.104245	−	0.591204i
$395$	−36.9718	+	10.8347i	−1.86025	+	0.545152i
$396$	4.44692	+	1.61855i	0.223466	+	0.0813351i
$397$	0.676834	−	7.73624i	0.0339693	−	0.388271i	−0.960111	−	0.279620i	$-0.909791\pi$
$397$	0.676834	−	7.73624i	0.0339693	−	0.388271i	0.994080	−	0.108651i	$-0.0346530\pi$
$398$	−12.9672	+	12.9672i	−0.649987	+	0.649987i
$399$	−8.84027	+	11.5456i	−0.442567	+	0.578001i
$400$	3.03225	−	3.97561i	0.151612	−	0.198780i
$401$	4.05345	+	4.83072i	0.202420	+	0.241235i	0.857699	−	0.514152i	$-0.171893\pi$
$401$	4.05345	+	4.83072i	0.202420	+	0.241235i	−0.655279	+	0.755387i	$0.727449\pi$
$402$	3.71130	+	7.95891i	0.185103	+	0.396954i
$403$	−9.57970	+	6.70778i	−0.477199	+	0.334138i
$404$	−2.14710	+	0.378592i	−0.106822	+	0.0188357i
$405$	1.61750	+	1.54392i	0.0803744	+	0.0767179i
$406$	−4.73894	+	8.20809i	−0.235190	+	0.407361i
$407$	−8.23470	+	30.7323i	−0.408179	+	1.52334i
$408$	0.504570	+	5.76726i	0.0249799	+	0.285522i
$409$	22.9920	+	19.2926i	1.13688	+	0.953958i	0.999332	−	0.0365364i	$-0.0116325\pi$
$409$	22.9920	+	19.2926i	1.13688	+	0.953958i	0.137551	+	0.990495i	$0.456077\pi$
$410$	−4.03730	−	20.1436i	−0.199388	−	0.994823i
$411$	1.31898	+	0.761513i	0.0650605	+	0.0375627i
$412$	−2.92878	−	1.36571i	−0.144291	−	0.0672838i
$413$	−17.8205	−	12.4781i	−0.876890	−	0.614005i
$414$	−0.805485	+	4.56813i	−0.0395874	+	0.224511i
$415$	3.09850	−	3.87218i	0.152099	−	0.190078i
$416$	−1.27306	+	1.06823i	−0.0624170	+	0.0523741i
$417$	12.0401	+	12.0401i	0.589607	+	0.589607i
$418$	−16.3521	+	12.5743i	−0.799805	+	0.615027i
$419$		−	38.4425i		−	1.87804i	−0.343863	−	0.939020i	$-0.611736\pi$
$419$		−	38.4425i		−	1.87804i	0.343863	−	0.939020i	$-0.388264\pi$
$420$	6.83217	+	2.99437i	0.333376	+	0.146110i
$421$	−3.49068	+	9.59057i	−0.170125	+	0.467416i	−0.995229	−	0.0975657i	$-0.968894\pi$
$421$	−3.49068	+	9.59057i	−0.170125	+	0.467416i	0.825104	+	0.564981i	$0.191117\pi$
$422$	−4.82081	−	6.88483i	−0.234673	−	0.335148i
$423$	−4.91512	+	7.01952i	−0.238982	+	0.341301i
$424$	−1.98947	−	5.46603i	−0.0966173	−	0.265454i
$425$	−26.7751	−	10.9994i	−1.29879	−	0.533551i
$426$	8.32376	−	4.80572i	0.403287	−	0.232838i
$427$	15.0451	−	1.31627i	0.728082	−	0.0636989i
$428$	5.84237	−	0.511142i	0.282402	−	0.0247070i
$429$	6.81083	−	3.93224i	0.328830	−	0.189850i
$430$	0.757168	−	11.8156i	0.0365139	−	0.569798i
$431$	5.64561	+	15.5112i	0.271940	+	0.747148i	0.998214	+	0.0597429i	$0.0190281\pi$
$431$	5.64561	+	15.5112i	0.271940	+	0.747148i	−0.726274	+	0.687405i	$0.758750\pi$
$432$	0.573576	−	0.819152i	0.0275962	−	0.0394115i
$433$	12.7751	+	18.2447i	0.613931	+	0.876784i	0.998935	−	0.0461307i	$-0.0146891\pi$
$433$	12.7751	+	18.2447i	0.613931	+	0.876784i	−0.385005	+	0.922915i	$0.625800\pi$
$434$	8.02918	−	22.0600i	0.385413	−	1.05891i
$435$	−5.91755	+	2.31113i	−0.283725	+	0.110810i
$436$			4.13197i			0.197886i
$437$	−14.9213	−	13.6445i	−0.713781	−	0.652704i
$438$	3.18415	+	3.18415i	0.152145	+	0.152145i
$439$	22.2539	−	18.6732i	1.06212	−	0.891226i	0.0678056	−	0.997699i	$-0.478400\pi$
$439$	22.2539	−	18.6732i	1.06212	−	0.891226i	0.994316	+	0.106473i	$0.0339558\pi$
$440$	8.26220	+	6.61137i	0.393885	+	0.315185i
$441$	−0.716988	+	4.06624i	−0.0341423	+	0.193630i
$442$	7.88107	+	5.51839i	0.374864	+	0.262483i
$443$	22.5648	+	10.5221i	1.07209	+	0.499922i	0.876815	−	0.480827i	$-0.159664\pi$
$443$	22.5648	+	10.5221i	1.07209	+	0.499922i	0.195271	+	0.980749i	$0.437441\pi$
$444$	5.82248	+	3.36161i	0.276323	+	0.159535i
$445$	21.0221	−	31.5611i	0.996544	−	1.49614i
$446$	−2.23357	−	1.87418i	−0.105762	−	0.0887452i
$447$	−0.160979	−	1.84000i	−0.00761406	−	0.0870291i
$448$	0.863423	−	3.22234i	0.0407929	−	0.152241i
$449$	−7.47054	+	12.9394i	−0.352557	+	0.610646i	−0.986697	−	0.162572i	$-0.948021\pi$
$449$	−7.47054	+	12.9394i	−0.352557	+	0.610646i	0.634140	+	0.773218i	$0.281354\pi$
$450$	2.32164	+	4.42832i	0.109443	+	0.208753i
$451$	42.8184	−	7.55004i	2.01624	−	0.355517i
$452$	−13.3827	+	9.37068i	−0.629470	+	0.440760i
$453$	−0.157304	−	0.337340i	−0.00739080	−	0.0158496i
$454$	0.596642	+	0.711051i	0.0280018	+	0.0333713i
$455$	11.1103	−	5.49912i	0.520860	−	0.257803i
$456$	1.67224	+	4.02537i	0.0783098	+	0.188505i
$457$	10.2107	−	10.2107i	0.477638	−	0.477638i	−0.426738	−	0.904376i	$-0.640337\pi$
$457$	10.2107	−	10.2107i	0.477638	−	0.477638i	0.904376	+	0.426738i	$0.140337\pi$
$458$	−0.595582	+	6.80753i	−0.0278297	+	0.318095i
$459$	−5.44015	−	1.98005i	−0.253924	−	0.0924209i
$460$	−4.97569	+	9.10086i	−0.231993	+	0.424330i
$461$	7.17771	+	40.7068i	0.334299	+	1.89591i	0.434042	+	0.900892i	$0.357087\pi$
$461$	7.17771	+	40.7068i	0.334299	+	1.89591i	−0.0997431	+	0.995013i	$0.531802\pi$
$462$	−6.67190	+	14.3079i	−0.310405	+	0.665665i
$463$	−16.9318	+	4.53687i	−0.786888	+	0.210846i	−0.629819	−	0.776742i	$-0.716871\pi$
$463$	−16.9318	+	4.53687i	−0.786888	+	0.210846i	−0.157069	+	0.987588i	$0.550204\pi$
$464$	1.42054	+	2.46045i	0.0659470	+	0.114224i
$465$	13.4405	−	8.18265i	0.623286	−	0.379462i
$466$	−16.4844	+	19.6453i	−0.763624	+	0.910052i
$467$	26.1942	+	7.01872i	1.21212	+	0.324787i	0.807595	−	0.589738i	$-0.200769\pi$
$467$	26.1942	+	7.01872i	1.21212	+	0.324787i	0.404529	+	0.914525i	$0.367436\pi$
$468$	−0.430122	−	1.60524i	−0.0198824	−	0.0742022i
$469$	−27.5290	+	10.0197i	−1.27117	+	0.462669i
$470$	−15.4361	+	11.3528i	−0.712016	+	0.523667i
$471$	−22.9639	−	4.04916i	−1.05812	−	0.186575i
$472$	−5.91022	+	2.75598i	−0.272040	+	0.126854i
$473$	24.9619	+	2.18388i	1.14775	+	0.100415i
$474$	−17.2296			−0.791384
$475$	−21.7189	−	1.81387i	−0.996531	−	0.0832260i
$476$	−19.3131			−0.885215
$477$	5.79469	+	0.506970i	0.265321	+	0.0232125i
$478$	1.28524	−	0.599317i	0.0587855	−	0.0274121i
$479$	35.5754	+	6.27290i	1.62548	+	0.286616i	0.910804	−	0.412839i	$-0.135463\pi$
$479$	35.5754	+	6.27290i	1.62548	+	0.286616i	0.714676	+	0.699455i	$0.246574\pi$
$480$	1.80134	−	1.32483i	0.0822195	−	0.0604700i
$481$	10.4993	−	3.82142i	0.478726	−	0.174242i
$482$	−1.23683	−	4.61593i	−0.0563362	−	0.210250i
$483$	−14.9471	−	4.00508i	−0.680119	−	0.182237i
$484$	−7.32445	+	8.72894i	−0.332930	+	0.396770i
$485$	−33.1578	+	20.1867i	−1.50562	+	0.916632i
$486$	0.500000	+	0.866025i	0.0226805	+	0.0392837i
$487$	−0.0388295	+	0.0104043i	−0.00175953	+	0.000471465i	−0.259699	−	0.965690i	$-0.583623\pi$
$487$	−0.0388295	+	0.0104043i	−0.00175953	+	0.000471465i	0.257939	+	0.966161i	$0.416957\pi$
$488$	1.91325	−	4.10297i	0.0866086	−	0.185733i
$489$	−1.21728	−	6.90353i	−0.0550473	−	0.312189i
$490$	−4.42902	+	8.10097i	−0.200083	+	0.365964i
$491$	26.0621	+	9.48582i	1.17617	+	0.428089i	0.854846	−	0.518882i	$-0.173652\pi$
$491$	26.0621	+	9.48582i	1.17617	+	0.428089i	0.321319	+	0.946971i	$0.395874\pi$
$492$	0.800758	−	9.15270i	0.0361009	−	0.412636i
$493$	11.6304	−	11.6304i	0.523806	−	0.523806i
$494$	6.91088	+	2.17114i	0.310935	+	0.0976842i
$495$	−9.48369	+	4.69401i	−0.426260	+	0.210980i
$496$	−4.52334	−	5.39071i	−0.203104	−	0.242050i
$497$	13.5508	+	29.0597i	0.607836	+	1.30351i
$498$	1.81676	−	1.27211i	0.0814111	−	0.0570046i
$499$	−10.0594	+	1.77375i	−0.450322	+	0.0794039i	−0.394210	−	0.919021i	$-0.628982\pi$
$499$	−10.0594	+	1.77375i	−0.450322	+	0.0794039i	−0.0561122	+	0.998424i	$0.517870\pi$
$500$	1.74902	+	11.0427i	0.0782184	+	0.493844i
$501$	−7.65656	+	13.2615i	−0.342070	+	0.592482i
$502$	−4.35776	+	16.2634i	−0.194497	+	0.725871i
$503$	−2.15206	−	24.5981i	−0.0959555	−	1.09678i	−0.879647	−	0.475627i	$-0.842221\pi$
$503$	−2.15206	−	24.5981i	−0.0959555	−	1.09678i	0.783692	−	0.621150i	$-0.213334\pi$
$504$	2.55553	+	2.14435i	0.113832	+	0.0955168i
$505$	2.70258	−	4.05746i	0.120263	−	0.180555i
$506$	−19.0104	−	10.9757i	−0.845116	−	0.487928i
$507$	9.27896	+	4.32685i	0.412093	+	0.192162i
$508$	4.80722	+	3.36605i	0.213286	+	0.149344i
$509$	5.44200	−	30.8631i	0.241213	−	1.36798i	−0.587914	−	0.808923i	$-0.700051\pi$
$509$	5.44200	−	30.8631i	0.241213	−	1.36798i	0.829127	−	0.559061i	$-0.188838\pi$
$510$	−10.1076	−	8.08803i	−0.447571	−	0.358144i
$511$	−11.5077	+	9.65614i	−0.509073	+	0.427163i
$512$	−0.707107	−	0.707107i	−0.0312500	−	0.0312500i
$513$	−4.35494	−	0.185631i	−0.192275	−	0.00819580i
$514$		−	11.1908i		−	0.493603i
$515$	6.73084	−	2.62876i	0.296596	−	0.115837i
$516$	1.81097	−	4.97560i	0.0797236	−	0.219039i
$517$	−23.2599	−	33.2186i	−1.02297	−	1.46095i
$518$	−12.8646	+	18.3726i	−0.565238	+	0.807244i
$519$	4.98017	+	13.6829i	0.218605	+	0.600613i
$520$	0.237645	−	3.70844i	0.0104214	−	0.162626i
$521$	1.33041	−	0.768113i	0.0582863	−	0.0336516i	−0.470574	−	0.882361i	$-0.655953\pi$
$521$	1.33041	−	0.768113i	0.0582863	−	0.0336516i	0.528860	+	0.848709i	$0.322620\pi$
$522$	−2.83027	+	0.247617i	−0.123878	+	0.0108379i
$523$	−11.1795	+	0.978079i	−0.488845	+	0.0427684i	−0.328914	−	0.944360i	$-0.606683\pi$
$523$	−11.1795	+	0.978079i	−0.488845	+	0.0427684i	−0.159931	+	0.987128i	$0.551127\pi$
$524$	−5.32448	+	3.07409i	−0.232601	+	0.134292i
$525$	−15.3917	+	6.42800i	−0.671750	+	0.280541i
$526$	10.6980	+	29.3925i	0.466455	+	1.28157i
$527$	−23.3673	+	33.3719i	−1.01789	+	1.45370i
$528$	2.71435	+	3.87649i	0.118127	+	0.168702i
$529$	−0.507345	+	1.39392i	−0.0220585	+	0.0606052i
$530$	11.9129	+	5.22112i	0.517463	+	0.226791i
$531$		−	6.52121i		−	0.282996i
$532$	−13.8638	+	4.38700i	−0.601071	+	0.190200i
$533$	−10.7966	−	10.7966i	−0.467651	−	0.467651i
$534$	12.9913	−	10.9010i	0.562190	−	0.471733i
$535$	−8.19337	+	10.2392i	−0.354230	+	0.442680i
$536$	−1.52492	+	8.64827i	−0.0658666	+	0.373548i
$537$	4.99393	+	3.49679i	0.215504	+	0.150898i
$538$	−4.76835	−	2.22352i	−0.205578	−	0.0958627i
$539$	−16.9218	−	9.76979i	−0.728873	−	0.420815i
$540$	0.439426	+	2.19247i	0.0189099	+	0.0943487i
$541$	−11.4958	−	9.64609i	−0.494242	−	0.414718i	0.361302	−	0.932449i	$-0.382332\pi$
$541$	−11.4958	−	9.64609i	−0.494242	−	0.414718i	−0.855543	+	0.517731i	$0.826777\pi$
$542$	−0.780843	−	8.92508i	−0.0335401	−	0.383365i
$543$	−6.62058	+	24.7083i	−0.284116	+	1.06034i
$544$	−2.89464	+	5.01367i	−0.124107	+	0.214959i
$545$	−6.68348	−	6.37942i	−0.286289	−	0.273265i
$546$	5.45977	−	0.962705i	0.233657	−	0.0412000i
$547$	−18.0489	+	12.6379i	−0.771713	+	0.540360i	−0.891814	−	0.452402i	$-0.850567\pi$
$547$	−18.0489	+	12.6379i	−0.771713	+	0.540360i	0.120101	+	0.992762i	$0.461678\pi$
$548$	0.643659	+	1.38033i	0.0274957	+	0.0589648i
$549$	2.90998	+	3.46798i	0.124195	+	0.148010i
$550$	−23.4501	+	3.15672i	−0.999914	+	0.134603i
$551$	5.70693	−	10.9906i	0.243124	−	0.468217i
$552$	−3.27999	+	3.27999i	−0.139605	+	0.139605i
$553$	5.00956	−	57.2596i	0.213028	−	2.43492i
$554$	14.4503	+	5.25948i	0.613934	+	0.223454i
$555$	−14.4269	+	4.22783i	−0.612386	+	0.179461i
$556$	2.95676	+	16.7686i	0.125394	+	0.711147i
$557$	8.69270	−	18.6416i	0.368322	−	0.789868i	−0.631572	−	0.775317i	$-0.717590\pi$
$557$	8.69270	−	18.6416i	0.368322	−	0.789868i	0.999894	−	0.0145515i	$-0.00463205\pi$
$558$	6.79729	−	1.82133i	0.287752	−	0.0771029i
$559$	−4.39973	−	7.62055i	−0.186089	−	0.322315i
$560$	3.87909	+	6.37162i	0.163921	+	0.269250i
$561$	17.6103	−	20.9871i	0.743507	−	0.886077i
$562$	−9.64530	−	2.58445i	−0.406862	−	0.109018i
$563$	8.86703	+	33.0922i	0.373701	+	1.39467i	0.855234	+	0.518243i	$0.173414\pi$
$563$	8.86703	+	33.0922i	0.373701	+	1.39467i	−0.481533	+	0.876428i	$0.659920\pi$
$564$	−8.05247	+	2.93086i	−0.339070	+	0.123411i
$565$	5.50471	−	36.1142i	0.231585	−	1.51933i
$566$	−0.569241	−	0.100373i	−0.0239270	−	0.00421898i
$567$	−3.02345	+	1.40986i	−0.126973	+	0.0592085i
$568$	9.57487	+	0.837693i	0.401753	+	0.0351488i
$569$	−9.97017			−0.417971			−0.208986	−	0.977919i	$-0.567016\pi$
$569$	−9.97017			−0.417971			−0.208986	+	0.977919i	$0.567016\pi$
$570$	−9.09285	−	3.50999i	−0.380858	−	0.147017i
$571$	4.17411			0.174681			0.0873405	−	0.996179i	$-0.472163\pi$
$571$	4.17411			0.174681			0.0873405	+	0.996179i	$0.472163\pi$
$572$	7.83454	+	0.685434i	0.327579	+	0.0286594i
$573$	15.5953	−	7.27219i	0.651501	−	0.303800i
$574$	30.1845	+	5.32234i	1.25988	+	0.222150i
$575$	−7.03862	−	22.0992i	−0.293531	−	0.921599i
$576$	0.939693	−	0.342020i	0.0391539	−	0.0142508i
$577$	8.92060	+	33.2921i	0.371370	+	1.38597i	0.858577	+	0.512684i	$0.171349\pi$
$577$	8.92060	+	33.2921i	0.371370	+	1.38597i	−0.487208	+	0.873286i	$0.661985\pi$
$578$	15.9531	+	4.27461i	0.663560	+	0.177800i
$579$	4.06997	−	4.85041i	0.169142	−	0.201576i
$580$	−6.17299	−	1.50100i	−0.256319	−	0.0623257i
$581$	3.69940	+	6.40754i	0.153477	+	0.265830i
$582$	−16.7690	+	4.49324i	−0.695097	+	0.186251i
$583$	−11.6334	+	24.9480i	−0.481808	+	1.03324i
$584$	0.781950	+	4.43466i	0.0323573	+	0.183507i
$585$	3.26055	+	1.78263i	0.134807	+	0.0737028i
$586$	5.69515	+	2.07286i	0.235264	+	0.0856292i
$587$	−2.01400	+	23.0202i	−0.0831268	+	0.950143i	0.834057	+	0.551679i	$0.186012\pi$
$587$	−2.01400	+	23.0202i	−0.0831268	+	0.950143i	−0.917184	+	0.398465i	$0.869543\pi$
$588$	−2.91962	+	2.91962i	−0.120403	+	0.120403i
$589$	−9.19357	+	29.2637i	−0.378814	+	1.20579i
$590$	4.66709	−	13.8148i	0.192141	−	0.568747i
$591$	7.65952	+	9.12826i	0.315070	+	0.375486i
$592$	2.84136	+	6.09331i	0.116779	+	0.250434i
$593$	−22.8413	+	15.9937i	−0.937980	+	0.656781i	−0.939256	−	0.343218i	$-0.888483\pi$
$593$	−22.8413	+	15.9937i	−0.937980	+	0.656781i	0.00127546	+	0.999999i	$0.499594\pi$
$594$	−4.66042	+	0.821758i	−0.191219	+	0.0337171i
$595$	29.8179	−	31.2390i	1.22241	−	1.28068i
$596$	0.923515	−	1.59957i	0.0378286	−	0.0655211i
$597$	4.74632	−	17.7135i	0.194254	−	0.724966i
$598$	0.671860	+	7.67940i	0.0274744	+	0.314034i
$599$	26.4148	+	22.1646i	1.07928	+	0.905621i	0.995861	−	0.0908933i	$-0.0289722\pi$
$599$	26.4148	+	22.1646i	1.07928	+	0.905621i	0.0834169	+	0.996515i	$0.473417\pi$
$600$	−0.638201	+	4.95910i	−0.0260544	+	0.202455i
$601$	33.3764	+	19.2699i	1.36145	+	0.786034i	0.989817	−	0.142346i	$-0.0454646\pi$
$601$	33.3764	+	19.2699i	1.36145	+	0.786034i	0.371633	+	0.928380i	$0.378798\pi$
$602$	16.0090	+	7.46510i	0.652476	+	0.304255i
$603$	−7.19353	−	5.03697i	−0.292943	−	0.205121i
$604$	0.0646342	−	0.366559i	0.00262993	−	0.0149151i
$605$	−2.81074	−	25.3241i	−0.114273	−	1.02957i
$606$	1.67015	−	1.40142i	0.0678452	−	0.0569289i
$607$	−14.4210	−	14.4210i	−0.585332	−	0.585332i	0.351032	−	0.936363i	$-0.385831\pi$
$607$	−14.4210	−	14.4210i	−0.585332	−	0.585332i	−0.936363	+	0.351032i	$0.885831\pi$
$608$	−0.939039	+	4.25655i	−0.0380831	+	0.172626i
$609$		−	9.47788i		−	0.384063i
$610$	3.68267	+	9.42933i	0.149107	+	0.381782i
$611$	−4.87069	+	13.3821i	−0.197047	+	0.541382i
$612$	−3.32060	−	4.74231i	−0.134227	−	0.191696i
$613$	24.8403	−	35.4757i	1.00329	−	1.43285i	0.104473	−	0.994528i	$-0.466684\pi$
$613$	24.8403	−	35.4757i	1.00329	−	1.43285i	0.898819	−	0.438321i	$-0.144427\pi$
$614$	6.14195	+	16.8749i	0.247869	+	0.681014i
$615$	13.5682	+	15.4262i	0.547123	+	0.622046i
$616$	−13.6720	+	7.89353i	−0.550860	+	0.318039i
$617$	−28.8376	+	2.52296i	−1.16096	+	0.101571i	−0.651309	−	0.758813i	$-0.725780\pi$
$617$	−28.8376	+	2.52296i	−1.16096	+	0.101571i	−0.509647	+	0.860383i	$0.670224\pi$
$618$	3.21925	−	0.281648i	0.129497	−	0.0113295i
$619$	40.7200	−	23.5097i	1.63668	−	0.944935i	0.654709	−	0.755881i	$-0.272791\pi$
$619$	40.7200	−	23.5097i	1.63668	−	0.944935i	0.981967	−	0.189054i	$-0.0605423\pi$
$620$	15.7032	+	1.00629i	0.630654	+	0.0404137i
$621$	−1.58650	−	4.35886i	−0.0636639	−	0.174915i
$622$	−14.1674	+	20.2331i	−0.568061	+	0.811275i
$623$	32.4503	+	46.3438i	1.30009	+	1.85673i
$624$	0.568391	−	1.56164i	0.0227539	−	0.0625157i
$625$	−20.5619	−	14.2200i	−0.822477	−	0.568799i
$626$		−	18.4148i		−	0.736005i
$627$	7.87417	−	19.0657i	0.314464	−	0.761409i
$628$	−16.4884	−	16.4884i	−0.657960	−	0.657960i
$629$	29.8165	−	25.0190i	1.18886	−	0.997573i
$630$	−7.41402	+	0.822887i	−0.295382	+	0.0327846i
$631$	3.13185	−	17.7616i	0.124677	−	0.707079i	−0.856822	−	0.515612i	$-0.827564\pi$
$631$	3.13185	−	17.7616i	0.124677	−	0.707079i	0.981499	−	0.191467i	$-0.0613244\pi$
$632$	−14.1137	−	9.88252i	−0.561413	−	0.393105i
$633$	7.61736	+	3.55203i	0.302763	+	0.141181i
$634$	2.04031	+	1.17797i	0.0810312	+	0.0467834i
$635$	−12.8665	+	2.57878i	−0.510593	+	0.102336i
$636$	4.45595	+	3.73898i	0.176690	+	0.148260i
$637$	0.598044	+	6.83568i	0.0236954	+	0.270839i
$638$	3.47980	−	12.9868i	0.137767	−	0.514152i
$639$	−4.80572	+	8.32376i	−0.190111	+	0.329283i
$640$	2.23546	−	0.0520327i	0.0883644	−	0.00205677i
$641$	10.0897	−	1.77908i	0.398517	−	0.0702694i	0.0292021	−	0.999574i	$-0.490703\pi$
$641$	10.0897	−	1.77908i	0.398517	−	0.0702694i	0.369315	+	0.929304i	$0.379592\pi$
$642$	−4.80407	+	3.36385i	−0.189602	+	0.132761i
$643$	5.41819	+	11.6194i	0.213673	+	0.458222i	0.983707	−	0.179780i	$-0.0575386\pi$
$643$	5.41819	+	11.6194i	0.213673	+	0.458222i	−0.770034	+	0.638003i	$0.779761\pi$
$644$	−9.94677	−	11.8541i	−0.391958	−	0.467117i
$645$	5.25206	+	10.6112i	0.206800	+	0.417815i
$646$	25.2097	−	1.12679i	0.991864	−	0.0443330i
$647$	−4.73702	+	4.73702i	−0.186231	+	0.186231i	−0.794065	−	0.607833i	$-0.792039\pi$
$647$	−4.73702	+	4.73702i	−0.186231	+	0.186231i	0.607833	+	0.794065i	$0.292039\pi$
$648$	−0.0871557	+	0.996195i	−0.00342380	+	0.0391342i
$649$	28.9993	+	10.5549i	1.13832	+	0.414316i
$650$	5.63150	+	6.10991i	0.220886	+	0.239650i
$651$	4.07652	+	23.1191i	0.159771	+	0.906109i
$652$	2.96257	−	6.35325i	0.116023	−	0.248812i
$653$	7.51542	−	2.01375i	0.294101	−	0.0788042i	−0.108752	−	0.994069i	$-0.534685\pi$
$653$	7.51542	−	2.01375i	0.294101	−	0.0788042i	0.402853	+	0.915265i	$0.368019\pi$
$654$	−2.06599	−	3.57839i	−0.0807864	−	0.139926i
$655$	3.24821	−	13.3585i	0.126918	−	0.521960i
$656$	5.90572	−	7.03816i	0.230579	−	0.274794i
$657$	−4.34963	−	1.16548i	−0.169695	−	0.0454697i
$658$	−7.39890	−	27.6131i	−0.288439	−	1.07647i
$659$	−26.5128	+	9.64986i	−1.03279	+	0.375905i	−0.802143	−	0.597132i	$-0.796307\pi$
$659$	−26.5128	+	9.64986i	−1.03279	+	0.375905i	−0.230648	+	0.973037i	$0.574085\pi$
$660$	−10.4610	−	1.59452i	−0.407192	−	0.0620664i
$661$	−33.7381	−	5.94894i	−1.31226	−	0.231387i	−0.526636	−	0.850091i	$-0.676547\pi$
$661$	−33.7381	−	5.94894i	−1.31226	−	0.231387i	−0.785624	+	0.618704i	$0.787658\pi$
$662$	5.45994	−	2.54601i	0.212207	−	0.0989536i
$663$	−9.58440	−	0.838526i	−0.372227	−	0.0325657i
$664$	2.21786			0.0860695
$665$	14.3086	−	29.1979i	0.554863	−	1.13225i
$666$	−6.72322			−0.260520
$667$	13.1285	+	1.14860i	0.508338	+	0.0444738i
$668$	−13.8784	+	6.47160i	−0.536971	+	0.250394i
$669$	2.87142	+	0.506308i	0.111015	+	0.0195750i
$670$	−11.6342	−	15.8188i	−0.449470	−	0.611133i
$671$	−20.1318	+	7.32737i	−0.777179	+	0.282870i
$672$	0.863423	+	3.22234i	0.0333073	+	0.124304i
$673$	5.69200	+	1.52517i	0.219410	+	0.0587908i	0.366850	−	0.930280i	$-0.380436\pi$
$673$	5.69200	+	1.52517i	0.219410	+	0.0587908i	−0.147439	+	0.989071i	$0.547103\pi$
$674$	−7.15352	+	8.52524i	−0.275543	+	0.328380i
$675$	−4.22476	−	2.67421i	−0.162611	−	0.102931i
$676$	5.11910	+	8.86655i	0.196889	+	0.341021i
$677$	−12.2637	+	3.28604i	−0.471332	+	0.126293i	−0.486663	−	0.873590i	$-0.661786\pi$
$677$	−12.2637	+	3.28604i	−0.471332	+	0.126293i	0.0153318	+	0.999882i	$0.495120\pi$
$678$	6.90444	−	14.8066i	0.265163	−	0.568644i
$679$	−10.0568	−	57.0351i	−0.385946	−	2.18881i
$680$	−3.64053	−	12.4228i	−0.139608	−	0.476392i
$681$	−0.872233	−	0.317467i	−0.0334240	−	0.0121654i
$682$	−2.90243	+	33.1749i	−0.111140	+	1.27033i
$683$	−6.78309	+	6.78309i	−0.259548	+	0.259548i	−0.824870	−	0.565322i	$-0.808752\pi$
$683$	−6.78309	+	6.78309i	−0.259548	+	0.259548i	0.565322	+	0.824870i	$0.308752\pi$
$684$	−3.46089	−	2.64995i	−0.132330	−	0.101324i
$685$	−3.22645	−	1.09000i	−0.123276	−	0.0416467i
$686$	6.15649	+	7.33702i	0.235056	+	0.280129i
$687$	−2.88798	−	6.19328i	−0.110183	−	0.236288i
$688$	4.33735	−	3.03705i	0.165360	−	0.115786i
$689$	9.51992	−	1.67862i	0.362680	−	0.0639503i
$690$	−0.241359	−	10.3694i	−0.00918838	−	0.394757i
$691$	−19.0671	+	33.0251i	−0.725345	+	1.25633i	0.233487	+	0.972360i	$0.424986\pi$
$691$	−19.0671	+	33.0251i	−0.725345	+	1.25633i	−0.958832	+	0.283974i	$0.908347\pi$
$692$	−3.76867	+	14.0649i	−0.143264	+	0.534667i
$693$	−1.37593	−	15.7270i	−0.0522674	−	0.597419i
$694$	19.3131	+	16.2056i	0.733114	+	0.615156i
$695$	−31.6883	−	21.1068i	−1.20200	−	0.800626i
$696$	−2.46045	−	1.42054i	−0.0932631	−	0.0538455i
$697$	−48.2065	−	22.4791i	−1.82595	−	0.851455i
$698$	−5.32156	−	3.72619i	−0.201424	−	0.141038i
$699$	4.45323	−	25.2555i	0.168437	−	0.955252i
$700$	−16.2951	−	3.56281i	−0.615897	−	0.134662i
$701$	11.4302	−	9.59103i	0.431711	−	0.362248i	−0.400886	−	0.916128i	$-0.631298\pi$
$701$	11.4302	−	9.59103i	0.431711	−	0.362248i	0.832597	+	0.553880i	$0.186853\pi$
$702$	1.17512	+	1.17512i	0.0443519	+	0.0443519i
$703$	15.7205	−	24.7326i	0.592909	−	0.932807i
$704$			4.73232i			0.178356i
$705$	7.69168	−	17.5499i	0.289685	−	0.660967i
$706$	1.77157	−	4.86734i	0.0666738	−	0.183185i
$707$	4.17177	+	5.95790i	0.156895	+	0.224070i
$708$	3.74041	−	5.34186i	0.140573	−	0.200759i
$709$	16.2448	+	44.6322i	0.610087	+	1.67620i	0.730027	+	0.683418i	$0.239507\pi$
$709$	16.2448	+	44.6322i	0.610087	+	1.67620i	−0.119941	+	0.992781i	$0.538270\pi$
$710$	−16.1378	+	14.1941i	−0.605640	+	0.532693i
$711$	14.9213	−	8.61482i	0.559593	−	0.323081i
$712$	16.8944	−	1.47807i	0.633146	−	0.0553931i
$713$	−32.5179	+	2.84495i	−1.21781	+	0.106544i
$714$	16.7257	−	9.65656i	0.625942	−	0.361388i
$715$	−13.2046	+	11.6141i	−0.493824	+	0.434345i
$716$	2.08512	+	5.72881i	0.0779244	+	0.214096i
$717$	−0.813392	+	1.16164i	−0.0303767	+	0.0433824i
$718$	19.4525	+	27.7811i	0.725962	+	1.03678i
$719$	0.904289	−	2.48451i	0.0337243	−	0.0926568i	−0.921688	−	0.387933i	$-0.873189\pi$
$719$	0.904289	−	2.48451i	0.0337243	−	0.0926568i	0.955412	+	0.295276i	$0.0954116\pi$
$720$	−0.897590	+	2.04801i	−0.0334512	+	0.0763247i
$721$			10.7805i			0.401486i
$722$	17.8407	−	6.53528i	0.663962	−	0.243218i
$723$	3.37909	+	3.37909i	0.125670	+	0.125670i
$724$	−19.5954	+	16.4425i	−0.728257	+	0.611080i
$725$	11.9585	−	7.66740i	0.444126	−	0.284760i
$726$	1.97869	−	11.2217i	0.0734361	−	0.416477i
$727$	−6.14997	−	4.30625i	−0.228090	−	0.159710i	0.453946	−	0.891029i	$-0.350016\pi$
$727$	−6.14997	−	4.30625i	−0.228090	−	0.159710i	−0.682035	+	0.731319i	$0.738905\pi$
$728$	5.02457	+	2.34300i	0.186223	+	0.0868372i
$729$	−0.866025	−	0.500000i	−0.0320750	−	0.0185185i
$730$	−8.38034	−	5.58194i	−0.310170	−	0.206597i
$731$	−23.4822	−	19.7039i	−0.868521	−	0.728776i
$732$	0.394565	+	4.50990i	0.0145835	+	0.166691i
$733$	−8.53220	+	31.8426i	−0.315144	+	1.17613i	0.608711	+	0.793392i	$0.291687\pi$
$733$	−8.53220	+	31.8426i	−0.315144	+	1.17613i	−0.923855	+	0.382742i	$0.874980\pi$
$734$	9.17864	−	15.8979i	0.338790	−	0.586801i
$735$	−0.214841	−	9.23015i	−0.00792454	−	0.340459i
$736$	−4.56813	+	0.805485i	−0.168384	+	0.0296906i
$737$	34.0421	−	23.8365i	1.25396	−	0.878029i
$738$	3.88287	+	8.32685i	0.142931	+	0.306516i
$739$	−28.2670	−	33.6872i	−1.03982	−	1.23921i	−0.970371	−	0.241619i	$-0.922321\pi$
$739$	−28.2670	−	33.6872i	−1.03982	−	1.23921i	−0.0694456	−	0.997586i	$-0.522123\pi$
$740$	−14.2428	−	4.81167i	−0.523575	−	0.176880i
$741$	−7.07057	+	1.57518i	−0.259744	+	0.0578656i
$742$	−13.7214	+	13.7214i	−0.503728	+	0.503728i
$743$	−4.63935	+	53.0280i	−0.170201	+	1.94541i	0.129956	+	0.991520i	$0.458516\pi$
$743$	−4.63935	+	53.0280i	−0.170201	+	1.94541i	−0.300158	+	0.953890i	$0.597039\pi$
$744$	6.61268	+	2.40682i	0.242433	+	0.0882383i
$745$	1.16149	+	3.96340i	0.0425536	+	0.145208i
$746$	−4.25115	−	24.1095i	−0.155646	−	0.882710i
$747$	−0.937307	+	2.01006i	−0.0342943	+	0.0735443i
$748$	26.4632	−	7.09080i	0.967591	−	0.259265i
$749$	−9.78234	−	16.9435i	−0.357439	−	0.619102i
$750$	−7.03604	−	8.68874i	−0.256920	−	0.317268i
$751$	3.24785	−	3.87063i	0.118516	−	0.141241i	−0.703524	−	0.710671i	$-0.748391\pi$
$751$	3.24785	−	3.87063i	0.118516	−	0.141241i	0.822040	+	0.569430i	$0.192836\pi$
$752$	−8.27727	−	2.21789i	−0.301841	−	0.0808780i
$753$	−4.35776	−	16.2634i	−0.158806	−	0.592671i
$754$	−4.43676	+	1.61485i	−0.161577	+	0.0588093i
$755$	0.493120	+	0.670483i	0.0179465	+	0.0244014i
$756$	−3.28533	−	0.579292i	−0.119486	−	0.0210687i
$757$	−2.68219	+	1.25073i	−0.0974859	+	0.0454584i	−0.470750	−	0.882267i	$-0.656016\pi$
$757$	−2.68219	+	1.25073i	−0.0974859	+	0.0454584i	0.373264	+	0.927725i	$0.378239\pi$
$758$	−3.66572	−	0.320709i	−0.133145	−	0.0116487i
$759$	21.9513			0.796783
$760$	−5.43518	−	8.09066i	−0.197155	−	0.293479i
$761$	0.671953			0.0243583			0.0121791	−	0.999926i	$-0.496123\pi$
$761$	0.671953			0.0243583			0.0121791	+	0.999926i	$0.496123\pi$
$762$	−5.84620	−	0.511476i	−0.211785	−	0.0185288i
$763$	12.4928	−	5.82550i	0.452270	−	0.210897i
$764$	16.9460	+	2.98804i	0.613086	+	0.108104i
$765$	12.7974	+	1.95065i	0.462692	+	0.0705260i
$766$	−12.0307	+	4.37880i	−0.434685	+	0.158212i
$767$	−2.80492	−	10.4681i	−0.101280	−	0.377981i
$768$	0.965926	+	0.258819i	0.0348548	+	0.00933933i
$769$	−2.85718	+	3.40505i	−0.103032	+	0.122789i	−0.815096	−	0.579325i	$-0.803316\pi$
$769$	−2.85718	+	3.40505i	−0.103032	+	0.122789i	0.712064	+	0.702115i	$0.247761\pi$
$770$	8.34063	−	34.3015i	0.300575	−	1.23614i
$771$	5.59538	+	9.69148i	0.201513	+	0.349030i
$772$	6.11601	−	1.63878i	0.220120	−	0.0589809i
$773$	−9.21609	+	19.7640i	−0.331480	+	0.710861i	−0.999444	−	0.0333323i	$-0.989388\pi$
$773$	−9.21609	+	19.7640i	−0.331480	+	0.710861i	0.667964	+	0.744193i	$0.267166\pi$
$774$	0.919454	+	5.21448i	0.0330491	+	0.187431i
$775$	−25.8721	+	23.8463i	−0.929352	+	0.856584i
$776$	−16.3136	−	5.93766i	−0.585623	−	0.213149i
$777$	1.95479	−	22.3434i	0.0701279	−	0.801565i
$778$	−9.69613	+	9.69613i	−0.347623	+	0.347623i
$779$	−39.7109	−	5.18628i	−1.42279	−	0.185818i
$780$	1.64841	+	3.33042i	0.0590226	+	0.119248i
$781$	−29.2368	−	34.8431i	−1.04618	−	1.24678i
$782$	11.3491	+	24.3382i	0.405842	+	0.870331i
$783$	2.32728	−	1.62958i	0.0831702	−	0.0582364i
$784$	−4.06624	+	0.716988i	−0.145223	+	0.0256067i
$785$	52.1269	−	1.21331i	1.86049	−	0.0433048i
$786$	3.07409	−	5.32448i	0.109649	−	0.189918i
$787$	3.73270	−	13.9306i	0.133056	−	0.496573i	−0.866942	−	0.498409i	$-0.833918\pi$
$787$	3.73270	−	13.9306i	0.133056	−	0.496573i	0.999998	+	0.00183596i	$0.000584405\pi$
$788$	1.03856	+	11.8708i	0.0369970	+	0.422878i
$789$	−23.9610	−	20.1057i	−0.853034	−	0.715780i
$790$	37.7754	−	7.57116i	1.34399	−	0.269370i
$791$	47.1996	+	27.2507i	1.67822	+	0.968923i
$792$	−4.28894	−	1.99996i	−0.152401	−	0.0710656i
$793$	6.16287	+	4.31529i	0.218850	+	0.153240i
$794$	−1.34852	+	7.64782i	−0.0478570	+	0.271411i
$795$	−12.9274	+	1.43482i	−0.458489	+	0.0508880i
$796$	14.0480	−	11.7877i	0.497919	−	0.417804i
$797$	7.44801	+	7.44801i	0.263822	+	0.263822i	0.826605	−	0.562783i	$-0.190269\pi$
$797$	7.44801	+	7.44801i	0.263822	+	0.263822i	−0.562783	+	0.826605i	$0.690269\pi$
$798$	9.81290	−	10.7311i	0.347373	−	0.379878i
$799$			49.6099i			1.75507i
$800$	−3.36721	+	3.69620i	−0.119049	+	0.130680i
$801$	−5.80031	+	15.9362i	−0.204944	+	0.563079i
$802$	−3.61700	−	5.16562i	−0.127721	−	0.182404i
$803$	12.2229	−	17.4561i	0.431336	−	0.616012i
$804$	−3.00351	−	8.25208i	−0.105926	−	0.291028i
$805$	34.5310	+	2.21282i	1.21706	+	0.0779918i
$806$	10.1279	−	5.84733i	0.356739	−	0.205963i
$807$	5.24127	−	0.458552i	0.184502	−	0.0161418i
$808$	2.17193	−	0.190019i	0.0764082	−	0.00668485i
$809$	−20.2281	+	11.6787i	−0.711181	+	0.410600i	−0.811498	−	0.584355i	$-0.801347\pi$
$809$	−20.2281	+	11.6787i	−0.711181	+	0.410600i	0.100317	+	0.994955i	$0.468014\pi$
$810$	−1.47679	−	1.67902i	−0.0518890	−	0.0589947i
$811$	14.4193	+	39.6167i	0.506330	+	1.39113i	0.884996	+	0.465598i	$0.154161\pi$
$811$	14.4193	+	39.6167i	0.506330	+	1.39113i	−0.378666	+	0.925533i	$0.623617\pi$
$812$	5.43629	−	7.76383i	0.190776	−	0.272457i
$813$	5.13877	+	7.33893i	0.180225	+	0.257387i
$814$	10.8819	−	29.8977i	0.381409	−	1.04791i
$815$	5.70244	+	14.6009i	0.199748	+	0.511446i
$816$		−	5.78929i		−	0.202666i
$817$	−21.3323	−	8.81031i	−0.746323	−	0.308234i
$818$	−21.2231	−	21.2231i	−0.742048	−	0.742048i
$819$	−4.24695	+	3.56361i	−0.148400	+	0.124523i
$820$	2.26630	+	20.4189i	0.0791427	+	0.713057i
$821$	−5.93214	+	33.6428i	−0.207033	+	1.17414i	0.687175	+	0.726492i	$0.258851\pi$
$821$	−5.93214	+	33.6428i	−0.207033	+	1.17414i	−0.894208	+	0.447651i	$0.852261\pi$
$822$	−1.24759	−	0.873572i	−0.0435147	−	0.0304693i
$823$	3.96558	+	1.84918i	0.138231	+	0.0644583i	0.490503	−	0.871439i	$-0.336813\pi$
$823$	3.96558	+	1.84918i	0.138231	+	0.0644583i	−0.352272	+	0.935898i	$0.614591\pi$
$824$	2.79860	+	1.61577i	0.0974940	+	0.0562882i
$825$	18.7300	−	14.4588i	0.652095	−	0.503392i
$826$	16.6652	+	13.9837i	0.579855	+	0.486556i
$827$	−1.86155	−	21.2776i	−0.0647325	−	0.739896i	−0.957322	−	0.289025i	$-0.906669\pi$
$827$	−1.86155	−	21.2776i	−0.0647325	−	0.739896i	0.892589	−	0.450871i	$-0.148887\pi$
$828$	1.20056	−	4.48054i	0.0417223	−	0.155710i
$829$	−13.9834	+	24.2200i	−0.485663	+	0.841194i	−0.999864	−	0.0164761i	$-0.994755\pi$
$829$	−13.9834	+	24.2200i	−0.485663	+	0.841194i	0.514201	+	0.857670i	$0.328089\pi$
$830$	−3.42419	+	3.58739i	−0.118855	+	0.124520i
$831$	−15.1441	+	2.67031i	−0.525341	+	0.0926319i
$832$	1.36132	−	0.953207i	0.0471953	−	0.0330465i
$833$	10.1022	+	21.6642i	0.350020	+	0.750619i
$834$	−10.9449	−	13.0437i	−0.378992	−	0.451665i
$835$	10.9593	−	32.4400i	0.379261	−	1.12263i
$836$	17.3858	−	11.1012i	0.601299	−	0.383944i
$837$	−4.97596	+	4.97596i	−0.171994	+	0.171994i
$838$	−3.35049	+	38.2962i	−0.115741	+	1.32292i
$839$	1.94339	+	0.707336i	0.0670933	+	0.0244200i	0.375349	−	0.926884i	$-0.377523\pi$
$839$	1.94339	+	0.707336i	0.0670933	+	0.0244200i	−0.308255	+	0.951304i	$0.599745\pi$
$840$	−6.54520	−	3.57844i	−0.225831	−	0.123468i
$841$	−3.63415	−	20.6103i	−0.125316	−	0.710700i
$842$	4.31327	−	9.24984i	0.148645	−	0.318770i
$843$	9.64530	−	2.58445i	0.332202	−	0.0890132i
$844$	4.20241	+	7.27879i	0.144653	+	0.250546i
$845$	−22.2451	−	5.40905i	−0.765256	−	0.186077i
$846$	5.50821	−	6.56443i	0.189376	−	0.225690i
$847$	36.7180	+	9.83855i	1.26164	+	0.338057i
$848$	1.50551	+	5.61862i	0.0516993	+	0.192944i
$849$	0.543164	−	0.197695i	0.0186413	−	0.00678489i
$850$	25.7146	+	13.2912i	0.882003	+	0.455884i
$851$	30.7126	+	5.41545i	1.05281	+	0.185639i
$852$	−8.71093	+	4.06197i	−0.298431	+	0.139161i
$853$	45.4127	+	3.97310i	1.55490	+	0.136036i	0.831945	−	0.554858i	$-0.187227\pi$
$853$	45.4127	+	3.97310i	1.55490	+	0.136036i	0.722956	+	0.690894i	$0.242783\pi$
$854$	−15.1025			−0.516798
$855$	9.62964	−	1.50669i	0.329327	−	0.0515276i
$856$	−5.86469			−0.200451
$857$	−24.1767	−	2.11518i	−0.825859	−	0.0722533i	−0.333614	−	0.942710i	$-0.608268\pi$
$857$	−24.1767	−	2.11518i	−0.825859	−	0.0722533i	−0.492245	+	0.870456i	$0.663824\pi$
$858$	−7.12763	+	3.32367i	−0.243333	+	0.113468i
$859$	−0.233493	−	0.0411711i	−0.00796668	−	0.00140474i	0.169663	−	0.985502i	$-0.445732\pi$
$859$	−0.233493	−	0.0411711i	−0.00796668	−	0.00140474i	−0.177630	+	0.984097i	$0.556843\pi$
$860$	−1.78408	+	11.7046i	−0.0608367	+	0.399124i
$861$	−28.8017	+	10.4830i	−0.981560	+	0.357259i
$862$	−4.27224	−	15.9442i	−0.145513	−	0.543062i
$863$	−0.976856	−	0.261748i	−0.0332526	−	0.00891000i	0.242154	−	0.970238i	$-0.422146\pi$
$863$	−0.976856	−	0.261748i	−0.0332526	−	0.00891000i	−0.275407	+	0.961328i	$0.588813\pi$
$864$	−0.642788	+	0.766044i	−0.0218681	+	0.0260614i
$865$	−16.9315	−	27.8109i	−0.575687	−	0.945598i
$866$	−11.1363	−	19.2887i	−0.378428	−	0.655456i
$867$	−15.9531	+	4.27461i	−0.541795	+	0.145173i
$868$	−9.92128	+	21.2762i	−0.336750	+	0.722163i
$869$	14.1586	+	80.2974i	0.480298	+	2.72390i
$870$	6.09646	−	1.78659i	0.206690	−	0.0605710i
$871$	−13.7138	−	4.99143i	−0.464676	−	0.169128i
$872$	0.360125	−	4.11625i	0.0121954	−	0.139394i
$873$	12.2758	−	12.2758i	0.415472	−	0.415472i
$874$	13.6753	+	14.8930i	0.462574	+	0.503764i
$875$	30.9212	−	20.8567i	1.04533	−	0.705085i
$876$	−2.89452	−	3.44955i	−0.0977967	−	0.116550i
$877$	−11.1733	−	23.9613i	−0.377297	−	0.809116i	−0.999652	−	0.0263811i	$-0.991602\pi$
$877$	−11.1733	−	23.9613i	−0.377297	−	0.809116i	0.622355	−	0.782735i	$-0.286176\pi$
$878$	−23.7967	+	16.6626i	−0.803100	+	0.562337i
$879$	−5.96857	+	1.05242i	−0.201315	+	0.0354973i
$880$	−7.65454	−	7.30631i	−0.258034	−	0.246296i
$881$	9.28195	−	16.0768i	0.312717	−	0.541642i	−0.666233	−	0.745744i	$-0.732094\pi$
$881$	9.28195	−	16.0768i	0.312717	−	0.541642i	0.978950	+	0.204102i	$0.0654275\pi$
$882$	1.06866	−	3.98828i	0.0359835	−	0.134292i
$883$	−1.14048	−	13.0357i	−0.0383802	−	0.438687i	−0.990937	−	0.134327i	$-0.957113\pi$
$883$	−1.14048	−	13.0357i	−0.0383802	−	0.438687i	0.952557	−	0.304360i	$-0.0984427\pi$
$884$	−7.37012	−	6.18427i	−0.247884	−	0.207999i
$885$	2.86559	+	14.2975i	0.0963258	+	0.480606i
$886$	−21.5619	−	12.4488i	−0.724385	−	0.418224i
$887$	−7.31873	−	3.41278i	−0.245739	−	0.114590i	0.295847	−	0.955235i	$-0.404398\pi$
$887$	−7.31873	−	3.41278i	−0.245739	−	0.114590i	−0.541586	+	0.840645i	$0.682176\pi$
$888$	−5.50734	−	3.85628i	−0.184814	−	0.129408i
$889$	3.39959	−	19.2800i	0.114019	−	0.646632i
$890$	−23.6928	+	29.6088i	−0.794186	+	0.992491i
$891$	3.62516	−	3.04187i	0.121448	−	0.101907i
$892$	2.06172	+	2.06172i	0.0690315	+	0.0690315i
$893$	11.2689	+	35.6121i	0.377101	+	1.19171i
$894$			1.84703i			0.0617739i
$895$	−12.4856	−	5.47213i	−0.417348	−	0.182913i
$896$	−1.14098	+	3.13482i	−0.0381176	+	0.104727i
$897$	−4.42155	−	6.31462i	−0.147631	−	0.210839i
$898$	8.56985	−	12.2390i	0.285980	−	0.408421i
$899$	−6.83798	−	18.7872i	−0.228059	−	0.626588i
$900$	−1.92685	−	4.61381i	−0.0642284	−	0.153794i
$901$	29.1636	−	16.8376i	0.971581	−	0.560943i
$902$	−43.3135	+	3.78944i	−1.44218	+	0.126174i
$903$	−17.5967	+	1.53951i	−0.585582	+	0.0512318i
$904$	14.1485	−	8.16864i	0.470572	−	0.271685i
$905$	3.65790	−	57.0814i	0.121593	−	1.89745i
$906$	0.127305	+	0.349766i	0.00422941	+	0.0116202i
$907$	−4.13472	+	5.90499i	−0.137291	+	0.196072i	−0.881910	−	0.471418i	$-0.843742\pi$
$907$	−4.13472	+	5.90499i	−0.137291	+	0.196072i	0.744619	+	0.667490i	$0.232631\pi$
$908$	−0.532400	−	0.760346i	−0.0176683	−	0.0252330i
$909$	−0.745681	+	2.04874i	−0.0247327	+	0.0679525i
$910$	−11.5473	+	4.50987i	−0.382790	+	0.149501i
$911$			8.75452i			0.290050i	0.989428	+	0.145025i	$0.0463263\pi$
$911$			8.75452i			0.290050i	−0.989428	+	0.145025i	$0.953674\pi$
$912$	−1.31504	−	4.15580i	−0.0435454	−	0.137612i
$913$	−7.42151	−	7.42151i	−0.245616	−	0.245616i
$914$	−11.0618	+	9.28196i	−0.365892	+	0.307020i
$915$	−7.90395	−	6.32470i	−0.261297	−	0.209088i
$916$	1.18663	−	6.72972i	0.0392074	−	0.222356i
$917$	16.8011	+	11.7643i	0.554822	+	0.388490i
$918$	5.24688	+	2.44666i	0.173173	+	0.0807517i
$919$	9.27385	+	5.35426i	0.305916	+	0.176621i	0.645097	−	0.764100i	$-0.276817\pi$
$919$	9.27385	+	5.35426i	0.305916	+	0.176621i	−0.339181	+	0.940721i	$0.610150\pi$
$920$	5.74995	−	8.63257i	0.189570	−	0.284607i
$921$	−13.7565	−	11.5431i	−0.453292	−	0.380357i
$922$	−3.60256	−	41.1775i	−0.118644	−	1.35611i
$923$	−4.13410	+	15.4287i	−0.136075	+	0.507841i
$924$	7.89353	−	13.6720i	0.259678	−	0.449776i
$925$	29.7726	−	15.6089i	0.978916	−	0.513218i
$926$	17.2628	−	3.04390i	0.567291	−	0.100029i
$927$	−2.64713	+	1.85354i	−0.0869432	+	0.0608783i
$928$	−1.20069	−	2.57490i	−0.0394147	−	0.0845251i
$929$	0.843013	+	1.00466i	0.0276583	+	0.0329619i	0.779696	−	0.626158i	$-0.215373\pi$
$929$	0.843013	+	1.00466i	0.0276583	+	0.0329619i	−0.752038	+	0.659120i	$0.770929\pi$
$930$	−14.1025	+	6.98010i	−0.462438	+	0.228887i
$931$	12.1728	+	13.2568i	0.398948	+	0.434473i
$932$	18.1338	−	18.1338i	0.593994	−	0.593994i
$933$	2.15276	−	24.6061i	0.0704781	−	0.805568i
$934$	−25.4828	−	9.27498i	−0.833823	−	0.303487i
$935$	−29.3876	+	53.7519i	−0.961079	+	1.75788i
$936$	0.288580	+	1.63662i	0.00943253	+	0.0534945i
$937$	−17.8903	+	38.3660i	−0.584452	+	1.25336i	0.362499	+	0.931984i	$0.381924\pi$
$937$	−17.8903	+	38.3660i	−0.584452	+	1.25336i	−0.946951	+	0.321377i	$0.895854\pi$
$938$	28.2976	−	7.58231i	0.923948	−	0.247571i
$939$	9.20742	+	15.9477i	0.300473	+	0.520434i
$940$	16.3669	−	9.96427i	0.533828	−	0.324999i
$941$	0.917147	−	1.09301i	0.0298981	−	0.0356312i	−0.750888	−	0.660429i	$-0.770374\pi$
$941$	0.917147	−	1.09301i	0.0298981	−	0.0356312i	0.780786	+	0.624798i	$0.214819\pi$
$942$	22.5236	+	6.03518i	0.733859	+	0.196637i
$943$	−11.0303	−	41.1657i	−0.359197	−	1.34054i
$944$	6.12793	−	2.23039i	0.199447	−	0.0725929i
$945$	6.00929	−	4.41965i	0.195482	−	0.143771i
$946$	−24.6766	−	4.35115i	−0.802305	−	0.141468i
$947$	23.1814	−	10.8097i	0.753295	−	0.351267i	−0.00774673	−	0.999970i	$-0.502466\pi$
$947$	23.1814	−	10.8097i	0.753295	−	0.351267i	0.761042	+	0.648703i	$0.224688\pi$
$948$	17.1641	+	1.50166i	0.557463	+	0.0487717i
$949$	−7.48350			−0.242925
$950$	21.4781	+	3.69989i	0.696843	+	0.120040i
$951$	−2.35595			−0.0763969
$952$	19.2396	+	1.68325i	0.623560	+	0.0545544i
$953$	51.8973	−	24.2001i	1.68112	−	0.783918i	0.682526	−	0.730861i	$-0.260881\pi$
$953$	51.8973	−	24.2001i	1.68112	−	0.783918i	0.998591	−	0.0530570i	$-0.0168965\pi$
$954$	−5.72845	−	1.01008i	−0.185466	−	0.0327026i
$955$	−30.9965	+	22.7970i	−1.00302	+	0.737693i
$956$	−1.33258	+	0.485021i	−0.0430988	+	0.0156867i
$957$	3.47980	+	12.9868i	0.112486	+	0.419803i
$958$	−34.8933	−	9.34963i	−1.12735	−	0.302073i
$959$	3.26590	−	3.89214i	0.105461	−	0.125684i
$960$	−1.90995	+	1.16279i	−0.0616434	+	0.0375290i
$961$	9.26018	+	16.0391i	0.298715	+	0.517390i
$962$	−10.7924	+	2.89181i	−0.347960	+	0.0932357i
$963$	2.47853	−	5.31522i	0.0798694	−	0.171280i
$964$	0.829823	+	4.70616i	0.0267268	+	0.151575i
$965$	−6.79188	+	12.4228i	−0.218638	+	0.399904i
$966$	14.5412	+	5.29256i	0.467856	+	0.170285i
$967$	−4.28250	+	48.9492i	−0.137716	+	1.57410i	0.541844	+	0.840479i	$0.317726\pi$
$967$	−4.28250	+	48.9492i	−0.137716	+	1.57410i	−0.679560	+	0.733620i	$0.737829\pi$
$968$	8.05736	−	8.05736i	0.258973	−	0.258973i
$969$	−21.2689	+	13.5807i	−0.683255	+	0.436275i
$970$	34.7910	−	17.2200i	1.11707	−	0.552901i
$971$	−21.4200	−	25.5274i	−0.687401	−	0.819213i	0.303637	−	0.952788i	$-0.401799\pi$
$971$	−21.4200	−	25.5274i	−0.687401	−	0.819213i	−0.991039	+	0.133575i	$0.957354\pi$
$972$	−0.422618	−	0.906308i	−0.0135555	−	0.0290698i
$973$	46.5305	−	32.5810i	1.49170	−	1.04450i
$974$	0.0395885	−	0.00698052i	0.00126850	−	0.000223670i
$975$	−7.93198	−	2.47559i	−0.254027	−	0.0792822i
$976$	−2.26356	+	3.92061i	−0.0724549	+	0.125496i
$977$	−8.09310	+	30.2039i	−0.258921	+	0.966308i	0.706945	+	0.707268i	$0.250073\pi$
$977$	−8.09310	+	30.2039i	−0.258921	+	0.966308i	−0.965867	+	0.259039i	$0.916594\pi$
$978$	0.610965	+	6.98336i	0.0195365	+	0.223303i
$979$	−61.4791	−	51.5871i	−1.96488	−	1.64873i
$980$	5.11821	−	7.68413i	0.163495	−	0.245460i
$981$	3.57839	+	2.06599i	0.114249	+	0.0659618i
$982$	−25.1362	−	11.7212i	−0.802127	−	0.374038i
$983$	−11.0240	−	7.71908i	−0.351610	−	0.246200i	0.384406	−	0.923164i	$-0.374406\pi$
$983$	−11.0240	−	7.71908i	−0.351610	−	0.246200i	−0.736016	+	0.676964i	$0.763295\pi$
$984$	−1.59542	+	9.04808i	−0.0508602	+	0.288442i
$985$	−20.8044	−	16.6476i	−0.662884	−	0.530437i
$986$	−12.5998	+	10.5725i	−0.401259	+	0.336696i
$987$	20.2142	+	20.2142i	0.643424	+	0.643424i
$988$	−6.69535	−	2.76520i	−0.213008	−	0.0879728i
$989$		−	24.5611i		−	0.780996i
$990$	9.85671	−	3.84959i	0.313267	−	0.122348i
$991$	17.1085	−	47.0053i	0.543471	−	1.49317i	−0.298905	−	0.954283i	$-0.596621\pi$
$991$	17.1085	−	47.0053i	0.543471	−	1.49317i	0.842376	−	0.538891i	$-0.181156\pi$
$992$	4.03630	+	5.76443i	0.128153	+	0.183021i
$993$	−3.45544	+	4.93488i	−0.109655	+	0.156604i
$994$	−10.9665	−	30.1302i	−0.347836	−	0.955672i
$995$	−2.62237	+	40.9220i	−0.0831346	+	1.29731i
$996$	−1.92072	+	1.10893i	−0.0608604	+	0.0351377i
$997$	43.4462	−	3.80105i	1.37595	−	0.120380i	0.624943	−	0.780670i	$-0.285122\pi$
$997$	43.4462	−	3.80105i	1.37595	−	0.120380i	0.751011	+	0.660290i	$0.229567\pi$
$998$	10.1757	−	0.890262i	0.322107	−	0.0281807i
$999$	5.82248	−	3.36161i	0.184215	−	0.106357i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	570.2.bh.b.13.2	✓	120
5.2	odd	4	inner	570.2.bh.b.127.10	yes	120
19.3	odd	18	inner	570.2.bh.b.193.10	yes	120
95.22	even	36	inner	570.2.bh.b.307.2	yes	120

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
570.2.bh.b.13.2	✓	120	1.1	even	1	trivial
570.2.bh.b.127.10	yes	120	5.2	odd	4	inner
570.2.bh.b.193.10	yes	120	19.3	odd	18	inner
570.2.bh.b.307.2	yes	120	95.22	even	36	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:	\( N \)	\(=\)	\( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	570.bh (of order \(36\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.996195 - 0.0871557i) q^{2} +(0.906308 - 0.422618i) q^{3} +(0.984808 + 0.173648i) q^{4} +(-1.80134 + 1.32483i) q^{5} +(-0.939693 + 0.342020i) q^{6} +(-0.863423 - 3.22234i) q^{7} +(-0.965926 - 0.258819i) q^{8} +(0.642788 - 0.766044i) q^{9} +O(q^{10})\)	\(q+(-0.996195 - 0.0871557i) q^{2} +(0.906308 - 0.422618i) q^{3} +(0.984808 + 0.173648i) q^{4} +(-1.80134 + 1.32483i) q^{5} +(-0.939693 + 0.342020i) q^{6} +(-0.863423 - 3.22234i) q^{7} +(-0.965926 - 0.258819i) q^{8} +(0.642788 - 0.766044i) q^{9} +(1.90995 - 1.16279i) q^{10} +(2.36616 + 4.09831i) q^{11} +(0.965926 - 0.258819i) q^{12} +(0.702334 - 1.50616i) q^{13} +(0.579292 + 3.28533i) q^{14} +(-1.07267 + 1.96198i) q^{15} +(0.939693 + 0.342020i) q^{16} +(0.504570 - 5.76726i) q^{17} +(-0.707107 + 0.707107i) q^{18} +(-0.947837 - 4.25460i) q^{19} +(-2.00403 + 0.991905i) q^{20} +(-2.14435 - 2.55553i) q^{21} +(-1.99996 - 4.28894i) q^{22} +(3.79972 - 2.66059i) q^{23} +(-0.984808 + 0.173648i) q^{24} +(1.48964 - 4.77294i) q^{25} +(-0.830932 + 1.43922i) q^{26} +(0.258819 - 0.965926i) q^{27} +(-0.290753 - 3.32332i) q^{28} +(2.17640 + 1.82621i) q^{29} +(1.23959 - 1.86103i) q^{30} +(-6.09428 - 3.51853i) q^{31} +(-0.906308 - 0.422618i) q^{32} +(3.87649 + 2.71435i) q^{33} +(-1.00530 + 5.70133i) q^{34} +(5.82437 + 4.66063i) q^{35} +(0.766044 - 0.642788i) q^{36} +(4.75404 + 4.75404i) q^{37} +(0.573417 + 4.32102i) q^{38} -1.66186i q^{39} +(2.08285 - 0.813468i) q^{40} +(3.14237 - 8.63358i) q^{41} +(1.91346 + 2.73270i) q^{42} +(3.03705 - 4.33735i) q^{43} +(1.61855 + 4.44692i) q^{44} +(-0.142999 + 2.23149i) q^{45} +(-4.01715 + 2.31930i) q^{46} +(-8.53665 + 0.746860i) q^{47} +(0.996195 - 0.0871557i) q^{48} +(-3.57579 + 2.06448i) q^{49} +(-1.89996 + 4.62495i) q^{50} +(-1.98005 - 5.44015i) q^{51} +(0.953207 - 1.36132i) q^{52} +(3.33639 + 4.76486i) q^{53} +(-0.342020 + 0.939693i) q^{54} +(-9.69182 - 4.24768i) q^{55} +3.33601i q^{56} +(-2.65710 - 3.45540i) q^{57} +(-2.00895 - 2.00895i) q^{58} +(4.99554 - 4.19175i) q^{59} +(-1.39707 + 1.74591i) q^{60} +(-0.786127 + 4.45835i) q^{61} +(5.76443 + 4.03630i) q^{62} +(-3.02345 - 1.40986i) q^{63} +(0.866025 + 0.500000i) q^{64} +(0.730267 + 3.64358i) q^{65} +(-3.62516 - 3.04187i) q^{66} +(-0.765374 - 8.74826i) q^{67} +(1.49838 - 5.59202i) q^{68} +(2.31930 - 4.01715i) q^{69} +(-5.39601 - 5.15053i) q^{70} +(-9.46543 + 1.66901i) q^{71} +(-0.819152 + 0.573576i) q^{72} +(-1.90308 - 4.08117i) q^{73} +(-4.32161 - 5.15029i) q^{74} +(-0.667056 - 4.95530i) q^{75} +(-0.194634 - 4.35455i) q^{76} +(11.1631 - 11.1631i) q^{77} +(-0.144841 + 1.65554i) q^{78} +(16.1906 + 5.89289i) q^{79} +(-2.14582 + 0.628840i) q^{80} +(-0.173648 - 0.984808i) q^{81} +(-3.88287 + 8.32685i) q^{82} +(-2.14229 + 0.574024i) q^{83} +(-1.66801 - 2.88907i) q^{84} +(6.73174 + 11.0573i) q^{85} +(-3.40351 + 4.05615i) q^{86} +(2.74428 + 0.735326i) q^{87} +(-1.22481 - 4.57107i) q^{88} +(-15.9362 + 5.80031i) q^{89} +(0.336942 - 2.21054i) q^{90} +(-5.45977 - 0.962705i) q^{91} +(4.20400 - 1.96036i) q^{92} +(-7.01029 - 0.613321i) q^{93} +8.56926 q^{94} +(7.34400 + 6.40825i) q^{95} -1.00000 q^{96} +(17.2945 + 1.51307i) q^{97} +(3.74212 - 1.74498i) q^{98} +(4.66042 + 0.821758i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 120 q + 12 q^{5} + 12 q^{7}+O(q^{10}) \) 120 * q + 12 * q^5 + 12 * q^7	\( 120 q + 12 q^{5} + 12 q^{7} + 12 q^{10} - 48 q^{13} - 12 q^{17} + 60 q^{21} + 12 q^{22} + 48 q^{23} + 12 q^{25} + 12 q^{26} - 12 q^{30} + 24 q^{33} - 24 q^{38} - 36 q^{41} + 24 q^{43} + 96 q^{47} + 24 q^{52} - 36 q^{55} + 12 q^{57} - 24 q^{58} - 12 q^{60} - 24 q^{61} + 24 q^{62} - 24 q^{66} + 72 q^{67} + 12 q^{68} + 96 q^{70} + 36 q^{73} - 12 q^{76} - 24 q^{78} - 12 q^{80} - 24 q^{82} - 60 q^{83} - 36 q^{85} - 72 q^{86} + 12 q^{87} - 144 q^{91} - 12 q^{92} + 48 q^{93} + 156 q^{95} - 120 q^{96} - 216 q^{97} - 96 q^{98}+O(q^{100}) \) 120 * q + 12 * q^5 + 12 * q^7 + 12 * q^10 - 48 * q^13 - 12 * q^17 + 60 * q^21 + 12 * q^22 + 48 * q^23 + 12 * q^25 + 12 * q^26 - 12 * q^30 + 24 * q^33 - 24 * q^38 - 36 * q^41 + 24 * q^43 + 96 * q^47 + 24 * q^52 - 36 * q^55 + 12 * q^57 - 24 * q^58 - 12 * q^60 - 24 * q^61 + 24 * q^62 - 24 * q^66 + 72 * q^67 + 12 * q^68 + 96 * q^70 + 36 * q^73 - 12 * q^76 - 24 * q^78 - 12 * q^80 - 24 * q^82 - 60 * q^83 - 36 * q^85 - 72 * q^86 + 12 * q^87 - 144 * q^91 - 12 * q^92 + 48 * q^93 + 156 * q^95 - 120 * q^96 - 216 * q^97 - 96 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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