LMFDB - Embedded newform 504.2.w.a.205.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [504,2,Mod(205,504)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(504, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([0, 3, 4, 2]))

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

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

chi := DirichletCharacter("504.205");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 504 = 2^{3} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	504.w (of order $6$, degree $2$, 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:	$4.02446026187$
Analytic rank:	$0$
Dimension:	$184$
Relative dimension:	$92$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			205.4
Character	$\chi$	$=$	504.205
Dual form			504.2.w.a.445.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.40394 + 0.170165i) q^{2} +(0.436895 - 1.67604i) q^{3} +(1.94209 - 0.477802i) q^{4} +2.31532i q^{5} +(-0.328169 + 2.42741i) q^{6} +(1.54699 - 2.14635i) q^{7} +(-2.64527 + 1.00128i) q^{8} +(-2.61825 - 1.46451i) q^{9} +O(q^{10})$	\(q+(-1.40394 + 0.170165i) q^{2} +(0.436895 - 1.67604i) q^{3} +(1.94209 - 0.477802i) q^{4} +2.31532i q^{5} +(-0.328169 + 2.42741i) q^{6} +(1.54699 - 2.14635i) q^{7} +(-2.64527 + 1.00128i) q^{8} +(-2.61825 - 1.46451i) q^{9} +(-0.393985 - 3.25056i) q^{10} -1.81868i q^{11} +(0.0476706 - 3.46377i) q^{12} +(0.588099 - 0.339539i) q^{13} +(-1.80665 + 3.27659i) q^{14} +(3.88057 + 1.01155i) q^{15} +(3.54341 - 1.85587i) q^{16} +(-2.99608 - 5.18936i) q^{17} +(3.92507 + 1.61055i) q^{18} +(2.54200 + 1.46762i) q^{19} +(1.10626 + 4.49655i) q^{20} +(-2.92150 - 3.53055i) q^{21} +(0.309476 + 2.55332i) q^{22} +4.06648 q^{23} +(0.522486 + 4.87104i) q^{24} -0.360688 q^{25} +(-0.767878 + 0.576766i) q^{26} +(-3.59848 + 3.74846i) q^{27} +(1.97886 - 4.90756i) q^{28} +(3.80553 + 2.19712i) q^{29} +(-5.62021 - 0.759816i) q^{30} +(4.26958 - 7.39513i) q^{31} +(-4.65893 + 3.20849i) q^{32} +(-3.04819 - 0.794572i) q^{33} +(5.08936 + 6.77572i) q^{34} +(4.96948 + 3.58177i) q^{35} +(-5.78461 - 1.59320i) q^{36} +(-8.74702 - 5.05009i) q^{37} +(-3.81855 - 1.62790i) q^{38} +(-0.312145 - 1.13402i) q^{39} +(-2.31828 - 6.12463i) q^{40} +(-0.354333 - 0.613723i) q^{41} +(4.70239 + 4.45954i) q^{42} +(-4.81161 - 2.77798i) q^{43} +(-0.868970 - 3.53204i) q^{44} +(3.39080 - 6.06207i) q^{45} +(-5.70908 + 0.691971i) q^{46} +(-0.169543 - 0.293657i) q^{47} +(-1.56242 - 6.74973i) q^{48} +(-2.21363 - 6.64077i) q^{49} +(0.506383 - 0.0613764i) q^{50} +(-10.0066 + 2.75436i) q^{51} +(0.979908 - 0.940410i) q^{52} +(7.74826 - 4.47346i) q^{53} +(4.41419 - 5.87494i) q^{54} +4.21082 q^{55} +(-1.94311 + 7.22664i) q^{56} +(3.57039 - 3.61931i) q^{57} +(-5.71660 - 2.43706i) q^{58} +(-3.20348 - 1.84953i) q^{59} +(8.01973 + 0.110372i) q^{60} +(1.20821 - 0.697560i) q^{61} +(-4.73584 + 11.1088i) q^{62} +(-7.19375 + 3.35409i) q^{63} +(5.99488 - 5.29730i) q^{64} +(0.786141 + 1.36164i) q^{65} +(4.41468 + 0.596836i) q^{66} +(0.0309292 + 0.0178570i) q^{67} +(-8.29814 - 8.64666i) q^{68} +(1.77662 - 6.81559i) q^{69} +(-7.58633 - 4.18296i) q^{70} +3.32359 q^{71} +(8.39234 + 1.25242i) q^{72} +(5.34153 + 9.25180i) q^{73} +(13.1396 + 5.60159i) q^{74} +(-0.157583 + 0.604528i) q^{75} +(5.63802 + 1.63568i) q^{76} +(-3.90353 - 2.81349i) q^{77} +(0.631204 + 1.53898i) q^{78} +(7.53212 + 13.0460i) q^{79} +(4.29692 + 8.20411i) q^{80} +(4.71043 + 7.66889i) q^{81} +(0.601896 + 0.801335i) q^{82} +(-6.85858 - 3.95980i) q^{83} +(-7.36072 - 5.46075i) q^{84} +(12.0150 - 6.93687i) q^{85} +(7.22792 + 3.08135i) q^{86} +(5.34508 - 5.41832i) q^{87} +(1.82101 + 4.81090i) q^{88} +(-1.25478 + 2.17334i) q^{89} +(-3.72893 + 9.08777i) q^{90} +(0.181014 - 1.78753i) q^{91} +(7.89745 - 1.94297i) q^{92} +(-10.5292 - 10.3869i) q^{93} +(0.287998 + 0.383426i) q^{94} +(-3.39801 + 5.88553i) q^{95} +(3.34210 + 9.21034i) q^{96} +(-7.03015 + 12.1766i) q^{97} +(4.23783 + 8.94655i) q^{98} +(-2.66348 + 4.76176i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 184 q + q^{2} + q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9}+O(q^{10}) $ 184 * q + q^2 + q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9	$ 184 q + q^{2} + q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9} + 2 q^{10} - 17 q^{12} - 7 q^{14} - 2 q^{15} + q^{16} - 4 q^{17} + 13 q^{18} + 6 q^{20} + 2 q^{22} - 4 q^{23} + 12 q^{24} - 156 q^{25} - 4 q^{26} - 8 q^{28} - 18 q^{30} + 2 q^{31} + q^{32} + 22 q^{33} - 18 q^{36} + 10 q^{38} - 14 q^{39} + 8 q^{40} - 4 q^{41} + 3 q^{42} + 17 q^{44} - 6 q^{46} + 42 q^{47} - 3 q^{48} - 2 q^{49} - 31 q^{50} - 18 q^{52} - 58 q^{54} + 4 q^{55} - 34 q^{56} - 20 q^{57} - 10 q^{58} + 26 q^{60} + 32 q^{62} + 50 q^{63} - 8 q^{64} + 22 q^{65} + 79 q^{66} + 24 q^{68} + 8 q^{70} - 16 q^{71} - 27 q^{72} - 4 q^{73} - 38 q^{74} - 6 q^{76} - 47 q^{78} + 2 q^{79} - 11 q^{80} + 6 q^{81} + q^{84} + 46 q^{86} + 4 q^{87} + 14 q^{88} + 4 q^{89} - 35 q^{90} - 48 q^{92} + 9 q^{94} + 22 q^{95} - 16 q^{96} - 4 q^{97} - 83 q^{98}+O(q^{100}) $ 184 * q + q^2 + q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9 + 2 * q^10 - 17 * q^12 - 7 * q^14 - 2 * q^15 + q^16 - 4 * q^17 + 13 * q^18 + 6 * q^20 + 2 * q^22 - 4 * q^23 + 12 * q^24 - 156 * q^25 - 4 * q^26 - 8 * q^28 - 18 * q^30 + 2 * q^31 + q^32 + 22 * q^33 - 18 * q^36 + 10 * q^38 - 14 * q^39 + 8 * q^40 - 4 * q^41 + 3 * q^42 + 17 * q^44 - 6 * q^46 + 42 * q^47 - 3 * q^48 - 2 * q^49 - 31 * q^50 - 18 * q^52 - 58 * q^54 + 4 * q^55 - 34 * q^56 - 20 * q^57 - 10 * q^58 + 26 * q^60 + 32 * q^62 + 50 * q^63 - 8 * q^64 + 22 * q^65 + 79 * q^66 + 24 * q^68 + 8 * q^70 - 16 * q^71 - 27 * q^72 - 4 * q^73 - 38 * q^74 - 6 * q^76 - 47 * q^78 + 2 * q^79 - 11 * q^80 + 6 * q^81 + q^84 + 46 * q^86 + 4 * q^87 + 14 * q^88 + 4 * q^89 - 35 * q^90 - 48 * q^92 + 9 * q^94 + 22 * q^95 - 16 * q^96 - 4 * q^97 - 83 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/504\mathbb{Z}\right)^\times$.

$n$	$73$	$127$	$253$	$281$
$\chi(n)$	$e\left(\frac{1}{3}\right)$	$1$	$-1$	$e\left(\frac{2}{3}\right)$

Coefficient data

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

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

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

$2$	−1.40394	+	0.170165i	−0.992735	+	0.120325i
$2$	−1.40394	+	0.170165i	−0.992735	+	0.120325i
$3$	0.436895	−	1.67604i	0.252241	−	0.967664i
$3$	0.436895	−	1.67604i	0.252241	−	0.967664i
$4$	1.94209	−	0.477802i	0.971044	−	0.238901i
$5$			2.31532i			1.03544i	0.855550	+	0.517720i	$0.173219\pi$
$5$			2.31532i			1.03544i	−0.855550	+	0.517720i	$0.826781\pi$
$6$	−0.328169	+	2.42741i	−0.133975	+	0.990985i
$7$	1.54699	−	2.14635i	0.584708	−	0.811244i
$7$	1.54699	−	2.14635i	0.584708	−	0.811244i
$8$	−2.64527	+	1.00128i	−0.935243	+	0.354006i
$9$	−2.61825	−	1.46451i	−0.872749	−	0.488170i
$10$	−0.393985	−	3.25056i	−0.124589	−	1.02792i
$11$		−	1.81868i		−	0.548353i	−0.961679	−	0.274177i	$-0.911595\pi$
$11$		−	1.81868i		−	0.548353i	0.961679	−	0.274177i	$-0.0884053\pi$
$12$	0.0476706	−	3.46377i	0.0137613	−	0.999905i
$13$	0.588099	−	0.339539i	0.163109	−	0.0941712i	−0.416223	−	0.909262i	$-0.636647\pi$
$13$	0.588099	−	0.339539i	0.163109	−	0.0941712i	0.579333	+	0.815091i	$0.303313\pi$
$14$	−1.80665	+	3.27659i	−0.482847	+	0.875705i
$15$	3.88057	+	1.01155i	1.00196	+	0.261181i
$16$	3.54341	−	1.85587i	0.885853	−	0.463967i
$17$	−2.99608	−	5.18936i	−0.726656	−	1.25861i	−0.958289	−	0.285802i	$-0.907740\pi$
$17$	−2.99608	−	5.18936i	−0.726656	−	1.25861i	0.231633	−	0.972803i	$-0.425593\pi$
$18$	3.92507	+	1.61055i	0.925147	+	0.379610i
$19$	2.54200	+	1.46762i	0.583175	+	0.336696i	0.762394	−	0.647113i	$-0.224024\pi$
$19$	2.54200	+	1.46762i	0.583175	+	0.336696i	−0.179219	+	0.983809i	$0.557357\pi$
$20$	1.10626	+	4.49655i	0.247368	+	1.00546i
$21$	−2.92150	−	3.53055i	−0.637525	−	0.770430i
$22$	0.309476	+	2.55332i	0.0659804	+	0.544369i
$23$	4.06648			0.847919			0.423959	−	0.905681i	$-0.360640\pi$
$23$	4.06648			0.847919			0.423959	+	0.905681i	$0.360640\pi$
$24$	0.522486	+	4.87104i	0.106652	+	0.994296i
$25$	−0.360688			−0.0721375
$26$	−0.767878	+	0.576766i	−0.150593	+	0.113113i
$27$	−3.59848	+	3.74846i	−0.692528	+	0.721391i
$28$	1.97886	−	4.90756i	0.373970	−	0.927441i
$29$	3.80553	+	2.19712i	0.706668	+	0.407995i	0.809826	−	0.586670i	$-0.199561\pi$
$29$	3.80553	+	2.19712i	0.706668	+	0.407995i	−0.103158	+	0.994665i	$0.532895\pi$
$30$	−5.62021	−	0.759816i	−1.02611	−	0.138723i
$31$	4.26958	−	7.39513i	0.766839	−	1.32820i	−0.172429	−	0.985022i	$-0.555162\pi$
$31$	4.26958	−	7.39513i	0.766839	−	1.32820i	0.939269	−	0.343183i	$-0.111505\pi$
$32$	−4.65893	+	3.20849i	−0.823590	+	0.567186i
$33$	−3.04819	−	0.794572i	−0.530622	−	0.138317i
$34$	5.08936	+	6.77572i	0.872818	+	1.16203i
$35$	4.96948	+	3.58177i	0.839995	+	0.605430i
$36$	−5.78461	−	1.59320i	−0.964102	−	0.265534i
$37$	−8.74702	−	5.05009i	−1.43800	−	0.830230i	−0.440290	−	0.897856i	$-0.645124\pi$
$37$	−8.74702	−	5.05009i	−1.43800	−	0.830230i	−0.997711	+	0.0676254i	$0.978458\pi$
$38$	−3.81855	−	1.62790i	−0.619451	−	0.264080i
$39$	−0.312145	−	1.13402i	−0.0499833	−	0.181589i
$40$	−2.31828	−	6.12463i	−0.366552	−	0.968389i
$41$	−0.354333	−	0.613723i	−0.0553376	−	0.0958475i	0.837030	−	0.547158i	$-0.184290\pi$
$41$	−0.354333	−	0.613723i	−0.0553376	−	0.0958475i	−0.892367	+	0.451310i	$0.850957\pi$
$42$	4.70239	+	4.45954i	0.725594	+	0.688123i
$43$	−4.81161	−	2.77798i	−0.733763	−	0.423638i	0.0860341	−	0.996292i	$-0.472581\pi$
$43$	−4.81161	−	2.77798i	−0.733763	−	0.423638i	−0.819797	+	0.572654i	$0.805914\pi$
$44$	−0.868970	−	3.53204i	−0.131002	−	0.532475i
$45$	3.39080	−	6.06207i	0.505471	−	0.903680i
$46$	−5.70908	+	0.691971i	−0.841758	+	0.102026i
$47$	−0.169543	−	0.293657i	−0.0247304	−	0.0428343i	0.853395	−	0.521264i	$-0.174539\pi$
$47$	−0.169543	−	0.293657i	−0.0247304	−	0.0428343i	−0.878126	+	0.478430i	$0.841206\pi$
$48$	−1.56242	−	6.74973i	−0.225516	−	0.974240i
$49$	−2.21363	−	6.64077i	−0.316234	−	0.948681i
$50$	0.506383	−	0.0613764i	0.0716134	−	0.00867993i
$51$	−10.0066	+	2.75436i	−1.40120	+	0.385687i
$52$	0.979908	−	0.940410i	0.135889	−	0.130411i
$53$	7.74826	−	4.47346i	1.06431	−	0.614477i	0.137686	−	0.990476i	$-0.456034\pi$
$53$	7.74826	−	4.47346i	1.06431	−	0.614477i	0.926620	+	0.375999i	$0.122700\pi$
$54$	4.41419	−	5.87494i	0.600695	−	0.799478i
$55$	4.21082			0.567787
$56$	−1.94311	+	7.22664i	−0.259659	+	0.965700i
$57$	3.57039	−	3.61931i	0.472910	−	0.479389i
$58$	−5.71660	−	2.43706i	−0.750626	−	0.320001i
$59$	−3.20348	−	1.84953i	−0.417057	−	0.240788i	0.276760	−	0.960939i	$-0.410739\pi$
$59$	−3.20348	−	1.84953i	−0.417057	−	0.240788i	−0.693817	+	0.720151i	$0.744073\pi$
$60$	8.01973	+	0.110372i	1.03534	+	0.0142490i
$61$	1.20821	−	0.697560i	0.154695	−	0.0893134i	−0.420654	−	0.907221i	$-0.638199\pi$
$61$	1.20821	−	0.697560i	0.154695	−	0.0893134i	0.575349	+	0.817908i	$0.304866\pi$
$62$	−4.73584	+	11.1088i	−0.601452	+	1.41082i
$63$	−7.19375	+	3.35409i	−0.906328	+	0.422576i
$64$	5.99488	−	5.29730i	0.749360	−	0.662163i
$65$	0.786141	+	1.36164i	0.0975087	+	0.168890i
$66$	4.41468	+	0.596836i	0.543410	+	0.0734654i
$67$	0.0309292	+	0.0178570i	0.00377861	+	0.00218158i	0.501888	−	0.864933i	$-0.332639\pi$
$67$	0.0309292	+	0.0178570i	0.00377861	+	0.00218158i	−0.498110	+	0.867114i	$0.665972\pi$
$68$	−8.29814	−	8.64666i	−1.00630	−	1.04856i
$69$	1.77662	−	6.81559i	0.213880	−	0.820501i
$70$	−7.58633	−	4.18296i	−0.906740	−	0.499959i
$71$	3.32359			0.394437			0.197219	−	0.980360i	$-0.436809\pi$
$71$	3.32359			0.394437			0.197219	+	0.980360i	$0.436809\pi$
$72$	8.39234	+	1.25242i	0.989047	+	0.147599i
$73$	5.34153	+	9.25180i	0.625178	+	1.08284i	0.988506	+	0.151180i	$0.0483072\pi$
$73$	5.34153	+	9.25180i	0.625178	+	1.08284i	−0.363328	+	0.931661i	$0.618360\pi$
$74$	13.1396	+	5.60159i	1.52745	+	0.651171i
$75$	−0.157583	+	0.604528i	−0.0181961	+	0.0698049i
$76$	5.63802	+	1.63568i	0.646725	+	0.187626i
$77$	−3.90353	−	2.81349i	−0.444848	−	0.320626i
$78$	0.631204	+	1.53898i	0.0714698	+	0.174255i
$79$	7.53212	+	13.0460i	0.847430	+	1.46779i	0.883494	+	0.468442i	$0.155185\pi$
$79$	7.53212	+	13.0460i	0.847430	+	1.46779i	−0.0360643	+	0.999349i	$0.511482\pi$
$80$	4.29692	+	8.20411i	0.480410	+	0.917248i
$81$	4.71043	+	7.66889i	0.523381	+	0.852099i
$82$	0.601896	+	0.801335i	0.0664683	+	0.0884926i
$83$	−6.85858	−	3.95980i	−0.752827	−	0.434645i	0.0738877	−	0.997267i	$-0.476459\pi$
$83$	−6.85858	−	3.95980i	−0.752827	−	0.434645i	−0.826714	+	0.562622i	$0.809793\pi$
$84$	−7.36072	−	5.46075i	−0.803121	−	0.595816i
$85$	12.0150	−	6.93687i	1.30321	−	0.752409i
$86$	7.22792	+	3.08135i	0.779406	+	0.332271i
$87$	5.34508	−	5.41832i	0.573053	−	0.580905i
$88$	1.82101	+	4.81090i	0.194120	+	0.512844i
$89$	−1.25478	+	2.17334i	−0.133006	+	0.230374i	−0.924834	−	0.380371i	$-0.875796\pi$
$89$	−1.25478	+	2.17334i	−0.133006	+	0.230374i	0.791828	+	0.610744i	$0.209130\pi$
$90$	−3.72893	+	9.08777i	−0.393063	+	0.957935i
$91$	0.181014	−	1.78753i	0.0189755	−	0.187384i
$92$	7.89745	−	1.94297i	0.823366	−	0.202569i
$93$	−10.5292	−	10.3869i	−1.09183	−	1.07707i
$94$	0.287998	+	0.383426i	0.0297047	+	0.0395474i
$95$	−3.39801	+	5.88553i	−0.348629	+	0.603843i
$96$	3.34210	+	9.21034i	0.341102	+	0.940026i
$97$	−7.03015	+	12.1766i	−0.713803	+	1.23634i	0.249616	+	0.968345i	$0.419696\pi$
$97$	−7.03015	+	12.1766i	−0.713803	+	1.23634i	−0.963419	+	0.267999i	$0.913638\pi$
$98$	4.23783	+	8.94655i	0.428086	+	0.903738i
$99$	−2.66348	+	4.76176i	−0.267689	+	0.478575i
$100$	−0.700487	+	0.172337i	−0.0700487	+	0.0172337i
$101$		−	5.37787i		−	0.535118i	−0.963541	−	0.267559i	$-0.913783\pi$
$101$		−	5.37787i		−	0.535118i	0.963541	−	0.267559i	$-0.0862170\pi$
$102$	13.5799	−	5.56971i	1.34461	−	0.551484i
$103$	−5.58316			−0.550125			−0.275062	−	0.961426i	$-0.588699\pi$
$103$	−5.58316			−0.550125			−0.275062	+	0.961426i	$0.588699\pi$
$104$	−1.21571	+	1.48702i	−0.119210	+	0.145815i
$105$	8.17435	−	6.76421i	0.797735	−	0.660119i
$106$	−10.1169	+	7.59895i	−0.982636	+	0.738075i
$107$	9.57278	+	5.52685i	0.925435	+	0.534300i	0.885365	−	0.464897i	$-0.153908\pi$
$107$	9.57278	+	5.52685i	0.925435	+	0.534300i	0.0400703	+	0.999197i	$0.487242\pi$
$108$	−5.19754	+	8.99920i	−0.500134	+	0.865948i
$109$	−13.6160	+	7.86122i	−1.30418	+	0.752968i	−0.981118	−	0.193410i	$-0.938045\pi$
$109$	−13.6160	+	7.86122i	−1.30418	+	0.752968i	−0.323061	+	0.946378i	$0.604712\pi$
$110$	−5.91174	+	0.716534i	−0.563662	+	0.0683188i
$111$	−12.2857	+	12.4540i	−1.16611	+	1.18208i
$112$	1.49829	−	10.4764i	0.141575	−	0.989928i
$113$	−10.0660	−	17.4348i	−0.946926	−	1.64012i	−0.751848	−	0.659336i	$-0.770837\pi$
$113$	−10.0660	−	17.4348i	−0.946926	−	1.64012i	−0.195078	−	0.980788i	$-0.562496\pi$
$114$	−4.39673	+	5.68884i	−0.411791	+	0.532809i
$115$			9.41518i			0.877970i
$116$	8.44045	+	2.44871i	0.783676	+	0.227357i
$117$	−2.03705	+	0.0277208i	−0.188325	+	0.00256279i
$118$	4.81221	+	2.05151i	0.443000	+	0.188856i
$119$	−15.7731	−	1.59726i	−1.44592	−	0.146421i
$120$	−11.2780	+	1.20972i	−1.02954	+	0.110432i
$121$	7.69240			0.699309
$122$	−1.57755	+	1.18493i	−0.142825	+	0.107278i
$123$	−1.18343	+	0.325746i	−0.106707	+	0.0293715i
$124$	4.75849	−	16.4020i	0.427325	−	1.47294i
$125$			10.7415i			0.960747i
$126$	9.52884	−	5.93306i	0.848897	−	0.528559i
$127$	14.3686			1.27500			0.637502	−	0.770449i	$-0.279968\pi$
$127$	14.3686			1.27500			0.637502	+	0.770449i	$0.279968\pi$
$128$	−7.51503	+	8.45721i	−0.664241	+	0.747519i
$129$	−6.75819	+	6.85078i	−0.595025	+	0.603177i
$130$	−1.33540	−	1.77788i	−0.117122	−	0.155930i
$131$			18.4003i			1.60764i	0.594874	+	0.803819i	$0.297202\pi$
$131$			18.4003i			1.60764i	−0.594874	+	0.803819i	$0.702798\pi$
$132$	−6.29950	−	0.0866976i	−0.548301	−	0.00754606i
$133$	7.08249	−	3.18562i	0.614130	−	0.276228i
$134$	−0.0464614	−	0.0198071i	−0.00401365	−	0.00171107i
$135$	−8.67887	−	8.33161i	−0.746958	−	0.717071i
$136$	13.1214	+	10.7273i	1.12515	+	0.919862i
$137$	10.1362			0.865991			0.432996	−	0.901396i	$-0.357457\pi$
$137$	10.1362			0.865991			0.432996	+	0.901396i	$0.357457\pi$
$138$	−1.33449	+	9.87099i	−0.113600	+	0.840275i
$139$	−7.44226	+	4.29679i	−0.631244	+	0.364449i	−0.781234	−	0.624239i	$-0.785409\pi$
$139$	−7.44226	+	4.29679i	−0.631244	+	0.364449i	0.149990	+	0.988688i	$0.452076\pi$
$140$	11.3625	+	4.58169i	0.960310	+	0.387224i
$141$	−0.566254	+	0.155864i	−0.0476872	+	0.0131261i
$142$	−4.66611	+	0.565558i	−0.391571	+	0.0474605i
$143$	−0.617514	−	1.06957i	−0.0516391	−	0.0894416i
$144$	−11.9955	−	0.330240i	−0.999621	−	0.0275200i
$145$	−5.08703	+	8.81099i	−0.422455	+	0.731713i
$146$	−9.07351	−	12.0800i	−0.750929	−	0.999749i
$147$	−12.0973	+	0.808833i	−0.997772	+	0.0667114i
$148$	−19.4004	−	5.62838i	−1.59470	−	0.462650i
$149$			4.55315i			0.373009i	0.982454	+	0.186504i	$0.0597158\pi$
$149$			4.55315i			0.373009i	−0.982454	+	0.186504i	$0.940284\pi$
$150$	0.118367	−	0.875536i	0.00966460	−	0.0714872i
$151$	3.51493			0.286041			0.143021	−	0.989720i	$-0.454319\pi$
$151$	3.51493			0.286041			0.143021	+	0.989720i	$0.454319\pi$
$152$	−8.19377	−	1.33701i	−0.664603	−	0.108445i
$153$	0.244607	+	17.9748i	0.0197753	+	1.45318i
$154$	5.95907	+	3.28572i	0.480196	+	0.264771i
$155$	17.1221	+	9.88543i	1.37528	+	0.794017i
$156$	−1.14805	−	2.05323i	−0.0919177	−	0.164390i
$157$	13.8574	+	8.00056i	1.10594	+	0.638514i	0.937775	−	0.347245i	$-0.112883\pi$
$157$	13.8574	+	8.00056i	1.10594	+	0.638514i	0.168164	+	0.985759i	$0.446216\pi$
$158$	−12.7946	−	17.0341i	−1.01788	−	1.35516i
$159$	−4.11254	−	14.9409i	−0.326146	−	1.18489i
$160$	−7.42866	−	10.7869i	−0.587287	−	0.852779i
$161$	6.29080	−	8.72808i	0.495785	−	0.687869i
$162$	−7.91813	−	9.96510i	−0.622107	−	0.782932i
$163$	7.30315	+	4.21648i	0.572027	+	0.330260i	0.757958	−	0.652303i	$-0.226197\pi$
$163$	7.30315	+	4.21648i	0.572027	+	0.330260i	−0.185932	+	0.982563i	$0.559530\pi$
$164$	−0.981384	−	1.02260i	−0.0766332	−	0.0798519i
$165$	1.83969	−	7.05753i	0.143219	−	0.549428i
$166$	10.3028	+	4.39223i	0.799656	+	0.340903i
$167$	1.22411	+	2.12022i	0.0947243	+	0.164067i	0.909494	−	0.415718i	$-0.136470\pi$
$167$	1.22411	+	2.12022i	0.0947243	+	0.164067i	−0.814769	+	0.579785i	$0.803136\pi$
$168$	11.2632	+	6.41402i	0.868977	+	0.494852i
$169$	−6.26943	+	10.8590i	−0.482264	+	0.835305i
$170$	−15.6879	+	11.7835i	−1.20321	+	0.903751i
$171$	−4.50623	−	7.56538i	−0.344600	−	0.578539i
$172$	−10.6719	−	3.09609i	−0.813724	−	0.236075i
$173$	−3.88654	+	2.24389i	−0.295488	+	0.170600i	−0.640414	−	0.768030i	$-0.721237\pi$
$173$	−3.88654	+	2.24389i	−0.295488	+	0.170600i	0.344926	+	0.938630i	$0.387904\pi$
$174$	−6.58216	+	8.51653i	−0.498993	+	0.645637i
$175$	−0.557981	+	0.774162i	−0.0421794	+	0.0585211i
$176$	−3.37523	−	6.44434i	−0.254418	−	0.485760i
$177$	−4.49947	+	4.56112i	−0.338201	+	0.342835i
$178$	1.39181	−	3.26476i	0.104320	−	0.244704i
$179$	3.37489	−	1.94850i	0.252251	−	0.145637i	−0.368543	−	0.929611i	$-0.620143\pi$
$179$	3.37489	−	1.94850i	0.252251	−	0.145637i	0.620795	+	0.783973i	$0.286810\pi$
$180$	3.68877	−	13.3932i	0.274944	−	0.998270i
$181$			13.4433i			0.999235i	0.866246	+	0.499617i	$0.166526\pi$
$181$			13.4433i			0.999235i	−0.866246	+	0.499617i	$0.833474\pi$
$182$	0.0500416	+	2.54039i	0.00370933	+	0.188306i
$183$	−0.641281	−	2.32977i	−0.0474049	−	0.172222i
$184$	−10.7569	+	4.07168i	−0.793010	+	0.300168i
$185$	11.6926	−	20.2521i	0.859654	−	1.48896i
$186$	16.5498	+	12.7909i	1.21349	+	0.937872i
$187$	−9.43780	+	5.44892i	−0.690160	+	0.398464i
$188$	−0.469577	−	0.489300i	−0.0342474	−	0.0356859i
$189$	2.47869	+	13.5224i	0.180298	+	0.983612i
$190$	3.76909	−	8.84115i	0.273439	−	0.641404i
$191$	6.19275	+	10.7262i	0.448092	+	0.776118i	0.998262	−	0.0589347i	$-0.0187704\pi$
$191$	6.19275	+	10.7262i	0.448092	+	0.776118i	−0.550170	+	0.835053i	$0.685437\pi$
$192$	−6.25939	−	12.3620i	−0.451732	−	0.892154i
$193$	2.96584	−	5.13698i	0.213486	−	0.369768i	−0.739317	−	0.673357i	$-0.764852\pi$
$193$	2.96584	−	5.13698i	0.213486	−	0.369768i	0.952803	+	0.303589i	$0.0981850\pi$
$194$	7.79787	−	18.2914i	0.559855	−	1.31325i
$195$	2.62562	−	0.722715i	0.188025	−	0.0517547i
$196$	−7.47205	−	11.8393i	−0.533718	−	0.845663i
$197$		−	19.9387i		−	1.42057i	−0.703912	−	0.710287i	$-0.748565\pi$
$197$		−	19.9387i		−	1.42057i	0.703912	−	0.710287i	$-0.251435\pi$
$198$	2.92907	−	7.13845i	0.208160	−	0.507307i
$199$	9.87632	+	17.1063i	0.700114	+	1.21263i	0.968426	+	0.249301i	$0.0802008\pi$
$199$	9.87632	+	17.1063i	0.700114	+	1.21263i	−0.268312	+	0.963332i	$0.586466\pi$
$200$	0.954115	−	0.361149i	0.0674662	−	0.0255371i
$201$	0.0434419	−	0.0440371i	0.00306416	−	0.00310614i
$202$	0.915124	+	7.55020i	0.0643879	+	0.531230i
$203$	10.6029	−	4.76906i	0.744178	−	0.334722i
$204$	−18.1176	+	10.1304i	−1.26849	+	0.709267i
$205$	1.42096	−	0.820393i	0.0992444	−	0.0572988i
$206$	7.83841	−	0.950057i	0.546128	−	0.0661936i
$207$	−10.6470	−	5.95539i	−0.740020	−	0.413928i
$208$	1.45374	−	2.29456i	0.100799	−	0.159099i
$209$	2.66914	−	4.62309i	0.184628	−	0.319786i
$210$	−10.3253	+	10.8875i	−0.712510	+	0.751310i
$211$	17.1243	−	9.88673i	1.17889	−	0.680630i	0.223130	−	0.974789i	$-0.428373\pi$
$211$	17.1243	−	9.88673i	1.17889	−	0.680630i	0.955757	+	0.294158i	$0.0950393\pi$
$212$	12.9104	−	12.3900i	0.886688	−	0.850948i
$213$	1.45206	−	5.57048i	0.0994933	−	0.381683i
$214$	−14.3801	−	6.13040i	−0.983001	−	0.419066i
$215$	6.43191	−	11.1404i	0.438652	−	0.759768i
$216$	5.76568	−	13.5188i	0.392305	−	0.919835i
$217$	−9.26753	−	20.6042i	−0.629121	−	1.39871i
$218$	17.7784	−	13.3536i	1.20410	−	0.904422i
$219$	17.8401	−	4.91057i	1.20552	−	0.331826i
$220$	8.17779	−	2.01194i	0.551346	−	0.135645i
$221$	−3.52398	−	2.03457i	−0.237049	−	0.136860i
$222$	15.1291	−	19.5753i	1.01540	−	1.31381i
$223$	7.55800	−	13.0908i	0.506121	−	0.876627i	−0.493854	−	0.869545i	$-0.664412\pi$
$223$	7.55800	−	13.0908i	0.506121	−	0.876627i	0.999975	−	0.00708231i	$-0.00225439\pi$
$224$	−0.320787	+	14.9632i	−0.0214335	+	0.999770i
$225$	0.944369	+	0.528230i	0.0629580	+	0.0352154i
$226$	17.0988	+	22.7645i	1.13739	+	1.51427i
$227$			22.5566i			1.49714i	0.663059	+	0.748568i	$0.269258\pi$
$227$			22.5566i			1.49714i	−0.663059	+	0.748568i	$0.730742\pi$
$228$	5.20470	−	8.73495i	0.344689	−	0.578486i
$229$			11.7493i			0.776415i	0.921572	+	0.388208i	$0.126906\pi$
$229$			11.7493i			0.776415i	−0.921572	+	0.388208i	$0.873094\pi$
$230$	−1.60213	−	13.2183i	−0.105641	−	0.871591i
$231$	−6.42096	+	5.31329i	−0.422468	+	0.349589i
$232$	−12.2666	−	2.00158i	−0.805339	−	0.131410i
$233$	11.9319	−	20.6667i	0.781687	−	1.35392i	−0.149272	−	0.988796i	$-0.547693\pi$
$233$	11.9319	−	20.6667i	0.781687	−	1.35392i	0.930959	−	0.365125i	$-0.118974\pi$
$234$	2.85517	−	0.385552i	0.186648	−	0.0252043i
$235$	0.679909	−	0.392546i	0.0443524	−	0.0256068i
$236$	−7.10514	−	2.06132i	−0.462505	−	0.134180i
$237$	25.1564	−	6.92443i	1.63409	−	0.449790i
$238$	22.4163	−	0.441565i	1.45303	−	0.0286224i
$239$	14.8774	+	25.7685i	0.962341	+	1.66682i	0.716596	+	0.697488i	$0.245699\pi$
$239$	14.8774	+	25.7685i	0.962341	+	1.66682i	0.245744	+	0.969335i	$0.420968\pi$
$240$	15.6278	−	3.61749i	1.00877	−	0.233508i
$241$	−24.9451			−1.60686			−0.803429	−	0.595401i	$-0.796993\pi$
$241$	−24.9451			−1.60686			−0.803429	+	0.595401i	$0.796993\pi$
$242$	−10.7997	+	1.30898i	−0.694228	+	0.0841441i
$243$	14.9114	−	4.54439i	0.956564	−	0.291523i
$244$	2.01315	−	1.93201i	0.128879	−	0.123684i
$245$	15.3755	−	5.12526i	0.982303	−	0.327441i
$246$	1.60604	−	0.658706i	0.102397	−	0.0419975i
$247$	1.99326			0.126828
$248$	−3.88959	+	23.8371i	−0.246989	+	1.51366i
$249$	−9.63328	+	9.76526i	−0.610484	+	0.618848i
$250$	−1.82782	−	15.0804i	−0.115602	−	0.953766i
$251$		−	30.1229i		−	1.90134i	−0.310199	−	0.950672i	$-0.600396\pi$
$251$		−	30.1229i		−	1.90134i	0.310199	−	0.950672i	$-0.399604\pi$
$252$	−12.3683	+	9.95113i	−0.779130	+	0.626862i
$253$		−	7.39563i		−	0.464959i
$254$	−20.1726	+	2.44502i	−1.26574	+	0.153414i
$255$	−6.37721	−	23.1684i	−0.399356	−	1.45086i
$256$	9.11152	−	13.1522i	0.569470	−	0.822012i
$257$	−27.4269			−1.71084			−0.855421	−	0.517934i	$-0.826701\pi$
$257$	−27.4269			−1.71084			−0.855421	+	0.517934i	$0.826701\pi$
$258$	8.32232	−	10.7681i	0.518125	−	0.670391i
$259$	−24.3708	+	10.9617i	−1.51433	+	0.681127i
$260$	2.17735	+	2.26880i	0.135033	+	0.140705i
$261$	−6.74610	−	11.3258i	−0.417573	−	0.701051i
$262$	−3.13108	−	25.8328i	−0.193439	−	1.59596i
$263$	−7.65376			−0.471951			−0.235976	−	0.971759i	$-0.575829\pi$
$263$	−7.65376			−0.471951			−0.235976	+	0.971759i	$0.575829\pi$
$264$	8.85887	−	0.950236i	0.545226	−	0.0584830i
$265$	10.3575	+	17.9397i	0.636255	+	1.10203i
$266$	−9.40130	+	5.67760i	−0.576431	+	0.348116i
$267$	3.09441	+	3.05258i	0.189375	+	0.186815i
$268$	0.0685994	+	0.0199018i	0.00419037	+	0.00121570i
$269$	−7.59077	+	4.38253i	−0.462817	+	0.267208i	−0.713228	−	0.700932i	$-0.752768\pi$
$269$	−7.59077	+	4.38253i	−0.462817	+	0.267208i	0.250411	+	0.968140i	$0.419434\pi$
$270$	13.6023	+	10.2202i	0.827813	+	0.621984i
$271$	−2.70119	+	4.67859i	−0.164085	+	0.284204i	−0.936330	−	0.351121i	$-0.885801\pi$
$271$	−2.70119	+	4.67859i	−0.164085	+	0.284204i	0.772245	+	0.635325i	$0.219134\pi$
$272$	−20.2471	−	12.8277i	−1.22766	−	0.777795i
$273$	−2.91690	−	1.08435i	−0.176539	−	0.0656279i
$274$	−14.2306	+	1.72482i	−0.859699	+	0.104200i
$275$			0.655976i			0.0395569i
$276$	0.193851	−	14.0854i	0.0116685	−	0.847838i
$277$			16.3470i			0.982199i	0.871103	+	0.491099i	$0.163405\pi$
$277$			16.3470i			0.982199i	−0.871103	+	0.491099i	$0.836595\pi$
$278$	9.71731	−	7.29884i	0.582806	−	0.437755i
$279$	−22.0091	+	13.1094i	−1.31765	+	0.784841i
$280$	−16.7320	−	4.49891i	−0.999926	−	0.268861i
$281$	−14.0844	+	24.3948i	−0.840203	+	1.45527i	0.0495207	+	0.998773i	$0.484231\pi$
$281$	−14.0844	+	24.3948i	−0.840203	+	1.45527i	−0.889723	+	0.456500i	$0.849103\pi$
$282$	0.768464	−	0.315181i	0.0457614	−	0.0187687i
$283$	−28.6751	−	16.5556i	−1.70456	−	0.984128i	−0.941011	−	0.338377i	$-0.890122\pi$
$283$	−28.6751	−	16.5556i	−1.70456	−	0.984128i	−0.763549	−	0.645750i	$-0.776545\pi$
$284$	6.45470	−	1.58802i	0.383016	−	0.0942314i
$285$	8.37984	+	8.26658i	0.496379	+	0.489670i
$286$	1.04895	+	1.39653i	0.0620260	+	0.0825783i
$287$	−1.86542	−	0.188901i	−0.110112	−	0.0111505i
$288$	16.8971	−	1.57757i	0.995670	−	0.0929591i
$289$	−9.45299	+	16.3731i	−0.556058	+	0.963121i
$290$	5.64256	−	13.2357i	0.331342	−	0.777229i
$291$	17.3370	+	17.1027i	1.01632	+	1.00258i
$292$	14.7942	+	15.4156i	0.865768	+	0.902130i
$293$	−5.38143	+	3.10697i	−0.314386	+	0.181511i	−0.648888	−	0.760884i	$-0.724766\pi$
$293$	−5.38143	+	3.10697i	−0.314386	+	0.181511i	0.334501	+	0.942395i	$0.391432\pi$
$294$	16.8463	−	3.19409i	0.982496	−	0.186283i
$295$	4.28224	−	7.41706i	0.249322	−	0.431838i
$296$	28.1948	+	4.60064i	1.63879	+	0.267406i
$297$	6.81726	+	6.54449i	0.395577	+	0.379750i
$298$	−0.774786	−	6.39234i	−0.0448821	−	0.370299i
$299$	2.39149	−	1.38073i	0.138304	−	0.0798496i
$300$	−0.0171942	+	1.24934i	−0.000992707	+	0.0721307i
$301$	−13.4060	+	6.02988i	−0.772711	+	0.347556i
$302$	−4.93475	+	0.598118i	−0.283963	+	0.0344178i
$303$	−9.01354	−	2.34956i	−0.517815	−	0.134979i
$304$	11.7311	+	0.482783i	0.672823	+	0.0276895i
$305$	1.61507	+	2.79739i	0.0924787	+	0.160178i
$306$	−3.40209	−	25.1939i	−0.194485	−	1.44024i
$307$			0.749046i			0.0427503i	0.999772	+	0.0213751i	$0.00680444\pi$
$307$			0.749046i			0.0427503i	−0.999772	+	0.0213751i	$0.993196\pi$
$308$	−8.92528	−	3.59892i	−0.508565	−	0.205068i
$309$	−2.43925	+	9.35761i	−0.138764	+	0.532336i
$310$	−25.7205	−	10.9650i	−1.46083	−	0.622768i
$311$	2.63505	−	4.56403i	0.149420	−	0.258803i	−0.781593	−	0.623788i	$-0.785593\pi$
$311$	2.63505	−	4.56403i	0.149420	−	0.258803i	0.931013	+	0.364986i	$0.118926\pi$
$312$	1.96118	+	2.68725i	0.111030	+	0.152136i
$313$	−7.04569	−	12.2035i	−0.398246	−	0.689782i	0.595264	−	0.803530i	$-0.297048\pi$
$313$	−7.04569	−	12.2035i	−0.398246	−	0.689782i	−0.993510	+	0.113748i	$0.963714\pi$
$314$	−20.8163	−	8.87426i	−1.17473	−	0.500803i
$315$	−7.76578	−	16.6558i	−0.437552	−	0.938449i
$316$	20.8615	+	21.7376i	1.17355	+	1.22284i
$317$	7.79490	−	4.50038i	0.437805	−	0.252767i	−0.264861	−	0.964287i	$-0.585326\pi$
$317$	7.79490	−	4.50038i	0.437805	−	0.252767i	0.702666	+	0.711520i	$0.251993\pi$
$318$	8.31617	+	20.2762i	0.466348	+	1.13704i
$319$	3.99587	−	6.92104i	0.223725	−	0.387504i
$320$	12.2649	+	13.8800i	0.685631	+	0.775918i
$321$	13.4455	−	13.6297i	0.750456	−	0.760738i
$322$	−7.34669	+	13.3242i	−0.409415	+	0.742526i
$323$		−	17.5885i		−	0.978649i
$324$	12.8123	+	12.6430i	0.711793	+	0.702389i
$325$	−0.212120	+	0.122468i	−0.0117663	+	0.00679328i
$326$	−10.9707	−	4.67694i	−0.607609	−	0.259031i
$327$	7.22698	+	26.2556i	0.399653	+	1.45194i
$328$	1.55181	+	1.26868i	0.0856846	+	0.0700509i
$329$	−0.892572	−	0.0903864i	−0.0492091	−	0.00498316i
$330$	−1.38186	+	10.2214i	−0.0760691	+	0.562669i
$331$	15.3099	−	8.83917i	0.841508	−	0.485845i	−0.0162686	−	0.999868i	$-0.505179\pi$
$331$	15.3099	−	8.83917i	0.841508	−	0.485845i	0.857776	+	0.514023i	$0.171845\pi$
$332$	−15.2120	−	4.41324i	−0.834865	−	0.242208i
$333$	15.5059	+	26.0325i	0.849720	+	1.42657i
$334$	−2.07936	−	2.76835i	−0.113777	−	0.151478i
$335$	−0.0413446	+	0.0716109i	−0.00225890	+	0.00391252i
$336$	−16.9043	−	7.08828i	−0.922207	−	0.386697i
$337$	−9.24687	−	16.0160i	−0.503709	−	0.872450i	−0.999991	−	0.00428818i	$-0.998635\pi$
$337$	−9.24687	−	16.0160i	−0.503709	−	0.872450i	0.496282	−	0.868162i	$-0.334698\pi$
$338$	6.95408	−	16.3122i	0.378252	−	0.887264i
$339$	−33.6192	+	9.25384i	−1.82594	+	0.502600i
$340$	20.0198	−	19.2128i	1.08572	−	1.04196i
$341$	−13.4494	−	7.76501i	−0.728326	−	0.420499i
$342$	7.61384	+	9.85453i	0.411709	+	0.532872i
$343$	−17.6779	−	5.52198i	−0.954516	−	0.298159i
$344$	15.5095	+	2.53074i	0.836217	+	0.136448i
$345$	15.7802	+	4.11344i	0.849580	+	0.221460i
$346$	5.07463	−	3.81164i	0.272814	−	0.204915i
$347$	2.23759	+	1.29187i	0.120120	+	0.0693514i	0.558856	−	0.829265i	$-0.311240\pi$
$347$	2.23759	+	1.29187i	0.120120	+	0.0693514i	−0.438736	+	0.898616i	$0.644574\pi$
$348$	7.79174	−	13.0767i	0.417681	−	0.700987i
$349$	−17.9606	−	10.3696i	−0.961409	−	0.555070i	−0.0648026	−	0.997898i	$-0.520642\pi$
$349$	−17.9606	−	10.3696i	−0.961409	−	0.555070i	−0.896606	+	0.442828i	$0.853975\pi$
$350$	0.651636	−	1.18182i	0.0348314	−	0.0631712i
$351$	−0.843513	+	3.42629i	−0.0450234	+	0.182882i
$352$	5.83522	+	8.47311i	0.311018	+	0.451618i
$353$	3.65277			0.194417			0.0972086	−	0.995264i	$-0.469009\pi$
$353$	3.65277			0.194417			0.0972086	+	0.995264i	$0.469009\pi$
$354$	5.54084	−	7.16918i	0.294492	−	0.381038i
$355$			7.69515i			0.408416i
$356$	−1.39846	+	4.82035i	−0.0741184	+	0.255478i
$357$	−9.56826	+	25.7386i	−0.506406	+	1.36223i
$358$	−4.40658	+	3.30986i	−0.232895	+	0.174931i
$359$	2.60655	−	4.51468i	0.137569	−	0.238276i	−0.789007	−	0.614384i	$-0.789405\pi$
$359$	2.60655	−	4.51468i	0.137569	−	0.238276i	0.926576	+	0.376108i	$0.122738\pi$
$360$	−2.89975	+	19.4309i	−0.152830	+	1.02410i
$361$	−5.19216	−	8.99308i	−0.273271	−	0.473320i
$362$	−2.28758	−	18.8736i	−0.120233	−	0.991975i
$363$	3.36077	−	12.8928i	0.176394	−	0.676696i
$364$	−0.502540	−	3.55803i	−0.0263402	−	0.186492i
$365$	−21.4208	+	12.3673i	−1.12122	+	0.647335i
$366$	1.29676	+	3.16173i	0.0677830	+	0.165266i
$367$	12.7723			0.666710			0.333355	−	0.942801i	$-0.391819\pi$
$367$	12.7723			0.666710			0.333355	+	0.942801i	$0.391819\pi$
$368$	14.4092	−	7.54684i	0.751131	−	0.393406i
$369$	0.0289287	+	2.12580i	0.00150597	+	0.110665i
$370$	−12.9694	+	30.4224i	−0.674249	+	1.58158i
$371$	2.38488	−	23.5509i	0.123817	−	1.22270i
$372$	−25.4115	−	15.1414i	−1.31753	−	0.785045i
$373$			35.0008i			1.81227i	0.422988	+	0.906135i	$0.360981\pi$
$373$			35.0008i			1.81227i	−0.422988	+	0.906135i	$0.639019\pi$
$374$	12.3229	−	9.25593i	0.637201	−	0.478613i
$375$	18.0032	+	4.69289i	0.929680	+	0.242340i
$376$	0.742519	+	0.607041i	0.0382925	+	0.0313058i
$377$	2.98404			0.153686
$378$	−5.78097	−	18.5629i	−0.297341	−	0.954771i
$379$		−	17.9865i		−	0.923903i	−0.886905	−	0.461952i	$-0.847149\pi$
$379$		−	17.9865i		−	0.923903i	0.886905	−	0.461952i	$-0.152851\pi$
$380$	−3.78712	+	13.0538i	−0.194275	+	0.669646i
$381$	6.27755	−	24.0823i	0.321609	−	1.23378i
$382$	−10.5195	−	14.0051i	−0.538223	−	0.716563i
$383$	−24.4876			−1.25126			−0.625630	−	0.780120i	$-0.715158\pi$
$383$	−24.4876			−1.25126			−0.625630	+	0.780120i	$0.715158\pi$
$384$	10.8914	+	16.2904i	0.555798	+	0.831317i
$385$	6.51411	−	9.03790i	0.331990	−	0.460614i
$386$	−3.28972	+	7.71669i	−0.167442	+	0.392769i
$387$	8.52959	+	14.3201i	0.433583	+	0.727931i
$388$	−7.83517	+	27.0070i	−0.397771	+	1.37107i
$389$		−	7.35815i		−	0.373073i	−0.982448	−	0.186536i	$-0.940274\pi$
$389$		−	7.35815i		−	0.373073i	0.982448	−	0.186536i	$-0.0597262\pi$
$390$	−3.56323	+	1.46144i	−0.180431	+	0.0740027i
$391$	−12.1835	−	21.1024i	−0.616145	−	1.06719i
$392$	12.5049	+	15.3501i	0.631594	+	0.775299i
$393$	30.8397	+	8.03898i	1.55565	+	0.405513i
$394$	3.39287	+	27.9927i	0.170930	+	1.41025i
$395$	−30.2057	+	17.4392i	−1.51981	+	0.877463i
$396$	−2.89753	+	10.5204i	−0.145606	+	0.528668i
$397$	12.7334	+	7.35162i	0.639070	+	0.368967i	0.784256	−	0.620437i	$-0.213045\pi$
$397$	12.7334	+	7.35162i	0.639070	+	0.368967i	−0.145186	+	0.989404i	$0.546378\pi$
$398$	−16.7766	−	22.3356i	−0.840937	−	1.11958i
$399$	−2.24494	−	13.2623i	−0.112387	−	0.663947i
$400$	−1.27806	+	0.669388i	−0.0639032	+	0.0334694i
$401$	17.2443			0.861141			0.430571	−	0.902557i	$-0.358312\pi$
$401$	17.2443			0.861141			0.430571	+	0.902557i	$0.358312\pi$
$402$	−0.0534962	+	0.0692177i	−0.00266815	+	0.00345226i
$403$		−	5.79876i		−	0.288857i
$404$	−2.56956	−	10.4443i	−0.127840	−	0.519623i
$405$	−17.7559	+	10.9061i	−0.882298	+	0.541930i
$406$	−14.0743	+	8.49971i	−0.698496	+	0.421834i
$407$	−9.18451	+	15.9080i	−0.455259	+	0.788533i
$408$	23.7122	−	17.3054i	1.17393	−	0.856744i
$409$	−7.17994	+	12.4360i	−0.355025	+	0.614922i	−0.987122	−	0.159967i	$-0.948861\pi$
$409$	−7.17994	+	12.4360i	−0.355025	+	0.614922i	0.632097	+	0.774889i	$0.282194\pi$
$410$	−1.85534	+	1.39358i	−0.0916289	+	0.0688240i
$411$	4.42844	−	16.9887i	0.218439	−	0.837989i
$412$	−10.8430	+	2.66764i	−0.534195	+	0.131425i
$413$	−8.92549	+	4.01458i	−0.439194	+	0.197544i
$414$	15.9612	+	6.54925i	0.784449	+	0.321878i
$415$	9.16819	−	15.8798i	0.450049	−	0.779507i
$416$	−1.65050	+	3.46880i	−0.0809227	+	0.170072i
$417$	3.95013	+	14.3508i	0.193439	+	0.702762i
$418$	−2.96062	+	6.94473i	−0.144809	+	0.339678i
$419$	25.0619	−	14.4695i	1.22435	−	0.706880i	0.258510	−	0.966009i	$-0.416769\pi$
$419$	25.0619	−	14.4695i	1.22435	−	0.706880i	0.965843	+	0.259128i	$0.0834353\pi$
$420$	12.6434	−	17.0424i	0.616932	−	0.831584i
$421$	10.5492	+	6.09059i	0.514137	+	0.296837i	0.734533	−	0.678573i	$-0.237401\pi$
$421$	10.5492	+	6.09059i	0.514137	+	0.296837i	−0.220395	+	0.975411i	$0.570735\pi$
$422$	−22.3591	+	16.7943i	−1.08842	+	0.817535i
$423$	0.0138419	+	1.01716i	0.000673017	+	0.0494562i
$424$	−16.0170	+	19.5917i	−0.777856	+	0.951456i
$425$	1.08065	+	1.87174i	0.0524192	+	0.0907927i
$426$	−1.09070	+	8.06770i	−0.0528446	+	0.390881i
$427$	0.371882	−	3.67236i	0.0179966	−	0.177718i
$428$	21.2319	+	6.15973i	1.02628	+	0.297742i
$429$	−2.06243	+	0.567693i	−0.0995749	+	0.0274085i
$430$	−7.13430	+	16.7349i	−0.344047	+	0.807029i
$431$	9.08353	+	15.7331i	0.437538	+	0.757839i	0.997499	−	0.0706804i	$-0.0225171\pi$
$431$	9.08353	+	15.7331i	0.437538	+	0.757839i	−0.559961	+	0.828519i	$0.689184\pi$
$432$	−5.79425	+	19.9606i	−0.278776	+	0.960356i
$433$	18.6727			0.897350			0.448675	−	0.893695i	$-0.351896\pi$
$433$	18.6727			0.897350			0.448675	+	0.893695i	$0.351896\pi$
$434$	16.5172	+	27.3501i	0.792849	+	1.31284i
$435$	12.5451	+	12.3756i	0.601492	+	0.593363i
$436$	−22.6874	+	21.7729i	−1.08653	+	1.04273i
$437$	10.3370	+	5.96806i	0.494485	+	0.285491i
$438$	−24.2108	+	9.92990i	−1.15684	+	0.474469i
$439$	−2.84791	−	4.93273i	−0.135924	−	0.235427i	0.790026	−	0.613073i	$-0.210067\pi$
$439$	−2.84791	−	4.93273i	−0.135924	−	0.235427i	−0.925950	+	0.377646i	$0.876733\pi$
$440$	−11.1388	+	4.21621i	−0.531019	+	0.201000i
$441$	−3.92962	+	20.6291i	−0.187125	+	0.982336i
$442$	5.29367	+	2.25676i	0.251794	+	0.107343i
$443$	17.0422	−	9.83930i	0.809698	−	0.467479i	−0.0371531	−	0.999310i	$-0.511829\pi$
$443$	17.0422	−	9.83930i	0.809698	−	0.467479i	0.846851	+	0.531830i	$0.178496\pi$
$444$	−17.9094	+	30.0569i	−0.849940	+	1.42644i
$445$	−5.03197	−	2.90521i	−0.238538	−	0.137720i
$446$	−8.38337	+	19.6648i	−0.396964	+	0.931157i
$447$	7.63128	+	1.98925i	0.360947	+	0.0940881i
$448$	−2.09584	−	21.0620i	−0.0990193	−	0.995086i
$449$	−9.76098			−0.460649			−0.230325	−	0.973114i	$-0.573979\pi$
$449$	−9.76098			−0.460649			−0.230325	+	0.973114i	$0.573979\pi$
$450$	−1.41572	−	0.580905i	−0.0667378	−	0.0273841i
$451$	−1.11617	+	0.644420i	−0.0525583	+	0.0303445i
$452$	−27.8793	−	29.0503i	−1.31133	−	1.36641i
$453$	1.53565	−	5.89118i	0.0721513	−	0.276792i
$454$	−3.83834	−	31.6681i	−0.180142	−	1.48626i
$455$	4.13870	+	0.419106i	0.194025	+	0.0196480i
$456$	−5.82069	+	13.1490i	−0.272579	+	0.615758i
$457$	6.11598	+	10.5932i	0.286094	+	0.495529i	0.972874	−	0.231337i	$-0.0743098\pi$
$457$	6.11598	+	10.5932i	0.286094	+	0.495529i	−0.686780	+	0.726865i	$0.740977\pi$
$458$	−1.99932	−	16.4953i	−0.0934219	−	0.770774i
$459$	30.2334	+	7.44313i	1.41118	+	0.347415i
$460$	4.49859	+	18.2851i	0.209748	+	0.852547i
$461$	−7.56934	−	4.37016i	−0.352539	−	0.203539i	0.313264	−	0.949666i	$-0.398578\pi$
$461$	−7.56934	−	4.37016i	−0.352539	−	0.203539i	−0.665803	+	0.746127i	$0.731911\pi$
$462$	8.11049	−	8.55215i	0.377334	−	0.397882i
$463$	−8.45022	−	14.6362i	−0.392715	−	0.680202i	0.600092	−	0.799931i	$-0.295131\pi$
$463$	−8.45022	−	14.6362i	−0.392715	−	0.680202i	−0.992807	+	0.119729i	$0.961797\pi$
$464$	17.5621	+	0.722754i	0.815300	+	0.0335530i
$465$	24.0490	−	24.3784i	1.11524	−	1.13052i
$466$	−13.2350	+	31.0452i	−0.613097	+	1.43814i
$467$	−23.9970	−	13.8546i	−1.11045	−	0.641117i	−0.171502	−	0.985184i	$-0.554862\pi$
$467$	−23.9970	−	13.8546i	−1.11045	−	0.641117i	−0.938945	+	0.344067i	$0.888195\pi$
$468$	−3.94288	+	1.02714i	−0.182260	+	0.0474796i
$469$	0.0861746	−	0.0387603i	0.00397917	−	0.00178978i
$470$	−0.887753	+	0.666806i	−0.0409490	+	0.0307575i
$471$	19.4635	−	19.7302i	0.896831	−	0.909118i
$472$	10.3259	+	1.68492i	0.475290	+	0.0775547i
$473$	−5.05227	+	8.75078i	−0.232303	+	0.402361i
$474$	−34.1398	+	14.0022i	−1.56809	+	0.643143i
$475$	−0.916868	−	0.529354i	−0.0420688	−	0.0242884i
$476$	−31.3959	+	4.43439i	−1.43903	+	0.203250i
$477$	−26.8383	+	0.365225i	−1.22884	+	0.0167225i
$478$	−25.2719	−	33.6457i	−1.15591	−	1.53892i
$479$	20.5974			0.941117			0.470559	−	0.882369i	$-0.344052\pi$
$479$	20.5974			0.941117			0.470559	+	0.882369i	$0.344052\pi$
$480$	−21.3248	+	7.73803i	−0.973341	+	0.353191i
$481$	−6.85882			−0.312735
$482$	35.0215	−	4.24479i	1.59518	−	0.193345i
$483$	−11.8802	−	14.3569i	−0.540569	−	0.653262i
$484$	14.9393	−	3.67544i	0.679059	−	0.167066i
$485$	−28.1926	−	16.2770i	−1.28016	−	0.739101i
$486$	−20.1613	+	8.91743i	−0.914537	+	0.404503i
$487$	−0.835817	−	1.44768i	−0.0378745	−	0.0656006i	0.846467	−	0.532442i	$-0.178725\pi$
$487$	−0.835817	−	1.44768i	−0.0378745	−	0.0656006i	−0.884341	+	0.466841i	$0.845392\pi$
$488$	−2.49758	+	3.05499i	−0.113060	+	0.138293i
$489$	10.2577	−	10.3982i	0.463870	−	0.470225i
$490$	−20.7141	+	9.81192i	−0.935767	+	0.443257i
$491$	−7.85740	+	4.53647i	−0.354600	+	0.204728i	−0.666709	−	0.745318i	$-0.732298\pi$
$491$	−7.85740	+	4.53647i	−0.354600	+	0.204728i	0.312110	+	0.950046i	$0.398964\pi$
$492$	−2.14269	+	1.19807i	−0.0965999	+	0.0540133i
$493$		−	26.3310i		−	1.18589i
$494$	−2.79842	+	0.339183i	−0.125907	+	0.0152606i
$495$	−11.0250	−	6.16679i	−0.495536	−	0.277177i
$496$	1.40450	−	34.1278i	0.0630639	−	1.53238i
$497$	5.14156	−	7.13358i	0.230631	−	0.319985i
$498$	11.8628	−	15.3491i	0.531586	−	0.687808i
$499$		−	1.14629i		−	0.0513149i	−0.999671	−	0.0256575i	$-0.991832\pi$
$499$		−	1.14629i		−	0.0513149i	0.999671	−	0.0256575i	$-0.00816792\pi$
$500$	5.13230	+	20.8609i	0.229523	+	0.932927i
$501$	4.08838	−	1.12535i	0.182655	−	0.0502768i
$502$	5.12587	+	42.2908i	0.228779	+	1.88753i
$503$	19.2820			0.859740			0.429870	−	0.902891i	$-0.358559\pi$
$503$	19.2820			0.859740			0.429870	+	0.902891i	$0.358559\pi$
$504$	15.6710	−	16.0754i	0.698043	−	0.716056i
$505$	12.4515			0.554083
$506$	1.25848	+	10.3830i	0.0559461	+	0.461581i
$507$	15.4610	+	15.2521i	0.686648	+	0.677368i
$508$	27.9050	−	6.86533i	1.23809	−	0.304600i
$509$			31.8001i			1.40951i	0.709448	+	0.704757i	$0.248944\pi$
$509$			31.8001i			1.40951i	−0.709448	+	0.704757i	$0.751056\pi$
$510$	12.8956	+	31.4418i	0.571029	+	1.39227i
$511$	28.1209	+	2.84766i	1.24399	+	0.125973i
$512$	−10.5540	+	20.0153i	−0.466424	+	0.884561i
$513$	−14.6487	+	4.24737i	−0.646754	+	0.187526i
$514$	38.5057	−	4.66709i	1.69841	−	0.205856i
$515$		−	12.9268i		−	0.569622i
$516$	−9.85167	+	16.5339i	−0.433696	+	0.727864i
$517$	−0.534069	+	0.308345i	−0.0234883	+	0.0135610i
$518$	32.3499	−	19.5366i	1.42137	−	0.858390i
$519$	2.06286	+	7.49435i	0.0905493	+	0.328965i
$520$	−3.44293	−	2.81474i	−0.150982	−	0.123435i
$521$	2.58108	+	4.47057i	0.113079	+	0.195859i	0.917010	−	0.398863i	$-0.130595\pi$
$521$	2.58108	+	4.47057i	0.113079	+	0.195859i	−0.803931	+	0.594723i	$0.797262\pi$
$522$	11.3984	+	14.7528i	0.498893	+	0.645714i
$523$	28.3178	+	16.3493i	1.23825	+	0.714904i	0.968736	−	0.248093i	$-0.0798038\pi$
$523$	28.3178	+	16.3493i	1.23825	+	0.714904i	0.269513	+	0.962997i	$0.413137\pi$
$524$	8.79168	+	35.7349i	0.384066	+	1.56109i
$525$	1.05375	+	1.27343i	0.0459895	+	0.0555769i
$526$	10.7454	−	1.30240i	0.468522	−	0.0567874i
$527$	−51.1680			−2.22891
$528$	−12.2756	+	2.84154i	−0.534227	+	0.123662i
$529$	−6.46378			−0.281034
$530$	−17.5940	−	23.4237i	−0.764233	−	1.01746i
$531$	5.67884	+	9.53404i	0.246441	+	0.413742i
$532$	12.2327	−	9.57078i	0.530356	−	0.414946i
$533$	−0.416766	−	0.240620i	−0.0180521	−	0.0104224i
$534$	−4.86380	−	3.75908i	−0.210477	−	0.162671i
$535$	−12.7964	+	22.1640i	−0.553236	+	0.958233i
$536$	−0.0996959	−	0.0162677i	−0.00430621	−	0.000702659i
$537$	−1.79129	−	6.50776i	−0.0772999	−	0.280830i
$538$	9.91122	−	7.44449i	0.427303	−	0.320955i
$539$	−12.0774	+	4.02590i	−0.520213	+	0.173408i
$540$	−20.8360	−	12.0339i	−0.896638	−	0.517859i
$541$	−15.1625	−	8.75410i	−0.651889	−	0.376368i	0.137291	−	0.990531i	$-0.456161\pi$
$541$	−15.1625	−	8.75410i	−0.651889	−	0.376368i	−0.789180	+	0.614163i	$0.789494\pi$
$542$	2.99617	−	7.02810i	0.128696	−	0.301883i
$543$	22.5316	+	5.87332i	0.966924	+	0.252048i
$544$	30.6085	+	14.5640i	1.31233	+	0.624426i
$545$	−18.2012	−	31.5254i	−0.779654	−	1.35040i
$546$	4.27966	+	1.02601i	0.183153	+	0.0439091i
$547$	10.5700	+	6.10258i	0.451940	+	0.260927i	0.708649	−	0.705561i	$-0.249305\pi$
$547$	10.5700	+	6.10258i	0.451940	+	0.260927i	−0.256709	+	0.966489i	$0.582638\pi$
$548$	19.6853	−	4.84308i	0.840916	−	0.206886i
$549$	−4.18497	+	0.0569505i	−0.178610	+	0.00243059i
$550$	−0.111624	−	0.920951i	−0.00475967	−	0.0392695i
$551$	6.44910	+	11.1702i	0.274741	+	0.475865i
$552$	2.12468	+	19.8080i	0.0904322	+	0.843083i
$553$	39.6534	+	4.01551i	1.68624	+	0.170757i
$554$	−2.78169	−	22.9503i	−0.118183	−	0.975063i
$555$	−28.8350	−	28.4453i	−1.22398	−	1.20743i
$556$	−12.4005	+	11.9007i	−0.525899	+	0.504701i
$557$	21.3960	−	12.3530i	0.906579	−	0.523414i	0.0272503	−	0.999629i	$-0.491325\pi$
$557$	21.3960	−	12.3530i	0.906579	−	0.523414i	0.879329	+	0.476215i	$0.157992\pi$
$558$	28.6686	−	22.1500i	1.21364	−	0.937685i
$559$	−3.77294			−0.159578
$560$	24.2562	+	3.46901i	1.02501	+	0.146592i
$561$	5.00930	+	18.1988i	0.211493	+	0.768353i
$562$	15.6224	−	36.6455i	0.658993	−	1.54580i
$563$	−11.7357	−	6.77559i	−0.494600	−	0.285557i	0.231881	−	0.972744i	$-0.425512\pi$
$563$	−11.7357	−	6.77559i	−0.494600	−	0.285557i	−0.726481	+	0.687187i	$0.758845\pi$
$564$	−1.02524	+	0.573260i	−0.0431705	+	0.0241386i
$565$	40.3670	−	23.3059i	1.69825	−	0.980486i
$566$	43.0753	+	18.3635i	1.81059	+	0.771877i
$567$	23.7471	+	1.75348i	0.997285	+	0.0736393i
$568$	−8.79178	+	3.32784i	−0.368895	+	0.139633i
$569$	−1.21699	−	2.10789i	−0.0510190	−	0.0883675i	0.839388	−	0.543533i	$-0.182914\pi$
$569$	−1.21699	−	2.10789i	−0.0510190	−	0.0883675i	−0.890407	+	0.455165i	$0.849580\pi$
$570$	−13.1715	−	10.1798i	−0.551692	−	0.426386i
$571$	−24.5492	−	14.1735i	−1.02735	−	0.593143i	−0.111128	−	0.993806i	$-0.535446\pi$
$571$	−24.5492	−	14.1735i	−1.02735	−	0.593143i	−0.916225	+	0.400663i	$0.868780\pi$
$572$	−1.71031	−	1.78214i	−0.0715115	−	0.0745151i
$573$	20.6831	−	5.69312i	0.864049	−	0.237834i
$574$	2.65107	−	0.0522220i	0.110654	−	0.00217970i
$575$	−1.46673			−0.0611668
$576$	−23.4540	+	5.09010i	−0.977251	+	0.212087i
$577$	−8.61664	−	14.9245i	−0.358715	−	0.621313i	0.629031	−	0.777380i	$-0.283452\pi$
$577$	−8.61664	−	14.9245i	−0.358715	−	0.621313i	−0.987747	+	0.156067i	$0.950118\pi$
$578$	10.4853	−	24.5953i	0.436131	−	1.02303i
$579$	−7.31405	−	7.21519i	−0.303962	−	0.299853i
$580$	−5.66955	+	19.5423i	−0.235415	+	0.811451i
$581$	−19.1093	+	8.59513i	−0.792787	+	0.356586i
$582$	−27.2504	−	21.0610i	−1.12957	−	0.873007i
$583$	−8.13580	−	14.0916i	−0.336951	−	0.583616i
$584$	−23.3934	−	19.1251i	−0.968026	−	0.791403i
$585$	−0.0641825	−	4.71641i	−0.00265362	−	0.194999i
$586$	7.02650	−	5.27773i	0.290262	−	0.218021i
$587$	0.195975	+	0.113146i	0.00808874	+	0.00467003i	0.504039	−	0.863681i	$-0.331847\pi$
$587$	0.195975	+	0.113146i	0.00808874	+	0.00467003i	−0.495950	+	0.868351i	$0.665180\pi$
$588$	−23.1076	+	7.35096i	−0.952943	+	0.303149i
$589$	21.7066	−	12.5323i	0.894403	−	0.516384i
$590$	−4.74988	+	11.1418i	−0.195550	+	0.458700i
$591$	−33.4182	−	8.71112i	−1.37464	−	0.358327i
$592$	−40.3666	−	1.66125i	−1.65906	−	0.0682771i
$593$	−12.0497	+	20.8706i	−0.494820	+	0.857054i	−0.999982	−	0.00597092i	$-0.998099\pi$
$593$	−12.0497	+	20.8706i	−0.494820	+	0.857054i	0.505162	+	0.863025i	$0.331433\pi$
$594$	−10.6847	−	8.02800i	−0.438397	−	0.329393i
$595$	3.69817	−	36.5197i	0.151610	−	1.49716i
$596$	2.17550	+	8.84262i	0.0891121	+	0.362208i
$597$	32.9858	−	9.07950i	1.35002	−	0.371599i
$598$	−3.12256	+	2.34541i	−0.127691	+	0.0959108i
$599$	8.14875	−	14.1140i	0.332949	−	0.576684i	−0.650140	−	0.759815i	$-0.725290\pi$
$599$	8.14875	−	14.1140i	0.332949	−	0.576684i	0.983089	+	0.183130i	$0.0586230\pi$
$600$	−0.188454	−	1.75692i	−0.00769361	−	0.0717261i
$601$	−6.65088	+	11.5197i	−0.271295	+	0.469897i	−0.969194	−	0.246300i	$-0.920785\pi$
$601$	−6.65088	+	11.5197i	−0.271295	+	0.469897i	0.697899	+	0.716196i	$0.254119\pi$
$602$	17.7952	−	10.7468i	0.725277	−	0.438007i
$603$	−0.0548286	−	0.0920501i	−0.00223279	−	0.00374857i
$604$	6.82630	−	1.67944i	0.277758	−	0.0683355i
$605$			17.8103i			0.724093i
$606$	13.0543	+	1.76485i	0.530294	+	0.0716922i
$607$	−24.1579			−0.980541			−0.490270	−	0.871570i	$-0.663102\pi$
$607$	−24.1579			−0.980541			−0.490270	+	0.871570i	$0.663102\pi$
$608$	−16.5518	+	1.31842i	−0.671266	+	0.0534689i
$609$	−3.36080	−	19.8545i	−0.136187	−	0.804545i
$610$	−2.74348	−	3.65253i	−0.111080	−	0.147887i
$611$	−0.199416	−	0.115133i	−0.00806752	−	0.00465778i
$612$	9.06345	+	34.7918i	0.366368	+	1.40637i
$613$	−22.7262	+	13.1210i	−0.917902	+	0.529951i	−0.882965	−	0.469438i	$-0.844456\pi$
$613$	−22.7262	+	13.1210i	−0.917902	+	0.529951i	−0.0349370	+	0.999390i	$0.511123\pi$
$614$	−0.127461	−	1.05161i	−0.00514392	−	0.0424397i
$615$	−0.754204	−	2.74002i	−0.0304125	−	0.110488i
$616$	13.1430	+	3.53390i	0.529545	+	0.142385i
$617$	8.87158	+	15.3660i	0.357157	+	0.618613i	0.987485	−	0.157716i	$-0.0504129\pi$
$617$	8.87158	+	15.3660i	0.357157	+	0.618613i	−0.630328	+	0.776329i	$0.717080\pi$
$618$	1.83222	−	13.5526i	0.0737028	−	0.545165i
$619$		−	29.2812i		−	1.17691i	−0.808530	−	0.588456i	$-0.799736\pi$
$619$		−	29.2812i		−	1.17691i	0.808530	−	0.588456i	$-0.200264\pi$
$620$	37.9758	+	11.0174i	1.52515	+	0.442470i
$621$	−14.6331	+	15.2430i	−0.587207	+	0.611681i
$622$	−2.92280	+	6.85601i	−0.117194	+	0.274901i
$623$	2.72362	+	6.05533i	0.109119	+	0.242602i
$624$	−3.21065	−	3.43901i	−0.128529	−	0.137671i
$625$	−26.6733			−1.06693
$626$	11.9683	+	15.9340i	0.478350	+	0.636852i
$627$	−6.58237	−	6.49340i	−0.262874	−	0.259322i
$628$	30.7349	+	8.91671i	1.22646	+	0.355815i
$629$			60.5219i			2.41317i
$630$	13.7369	+	22.0623i	0.547292	+	0.878982i
$631$	9.45113			0.376243			0.188122	−	0.982146i	$-0.439760\pi$
$631$	9.45113			0.376243			0.188122	+	0.982146i	$0.439760\pi$
$632$	−32.9872	−	26.9684i	−1.31216	−	1.07275i
$633$	−9.08907	−	33.0206i	−0.361258	−	1.31245i
$634$	−10.1777	+	7.64468i	−0.404210	+	0.303609i
$635$			33.2678i			1.32019i
$636$	−15.1257	−	27.0515i	−0.599773	−	1.07266i
$637$	−3.55664	−	3.15382i	−0.140919	−	0.124959i
$638$	−4.43223	+	10.3967i	−0.175474	+	0.411608i
$639$	−8.70197	−	4.86742i	−0.344245	−	0.192552i
$640$	−19.5811	−	17.3997i	−0.774011	−	0.687782i
$641$	38.5590			1.52299			0.761494	−	0.648172i	$-0.224466\pi$
$641$	38.5590			1.52299			0.761494	+	0.648172i	$0.224466\pi$
$642$	−16.5574	+	21.4233i	−0.653468	+	0.845510i
$643$	21.7789	−	12.5741i	0.858878	−	0.495873i	−0.00475866	−	0.999989i	$-0.501515\pi$
$643$	21.7789	−	12.5741i	0.858878	−	0.495873i	0.863636	+	0.504115i	$0.168181\pi$
$644$	8.04700	−	19.9565i	0.317096	−	0.786394i
$645$	−15.8617	−	15.6473i	−0.624554	−	0.616113i
$646$	2.99294	+	24.6931i	0.117756	+	0.971539i
$647$	21.9067	+	37.9436i	0.861243	+	1.49172i	0.870730	+	0.491762i	$0.163647\pi$
$647$	21.9067	+	37.9436i	0.861243	+	1.49172i	−0.00948677	+	0.999955i	$0.503020\pi$
$648$	−20.1390	−	15.5698i	−0.791136	−	0.611640i
$649$	−3.36370	+	5.82611i	−0.132037	+	0.228695i
$650$	0.276964	−	0.208032i	0.0108634	−	0.00815970i
$651$	−38.5825	+	6.53092i	−1.51217	+	0.255967i
$652$	16.1980	+	4.69931i	0.634363	+	0.184039i
$653$		−	21.1582i		−	0.827984i	−0.910281	−	0.413992i	$-0.864134\pi$
$653$		−	21.1582i		−	0.827984i	0.910281	−	0.413992i	$-0.135866\pi$
$654$	−14.6140	−	35.6314i	−0.571453	−	1.39330i
$655$	−42.6024			−1.66461
$656$	−2.39454	−	1.51708i	−0.0934909	−	0.0592319i
$657$	−0.436096	−	32.0462i	−0.0170137	−	1.25024i
$658$	1.26850	−	0.0249874i	0.0494512	−	0.000974111i
$659$	−12.8014	−	7.39087i	−0.498670	−	0.287907i	0.229494	−	0.973310i	$-0.426293\pi$
$659$	−12.8014	−	7.39087i	−0.498670	−	0.287907i	−0.728164	+	0.685403i	$0.759626\pi$
$660$	0.200732	−	14.5853i	0.00781350	−	0.567734i
$661$	−33.6103	−	19.4049i	−1.30729	−	0.754763i	−0.325646	−	0.945492i	$-0.605582\pi$
$661$	−33.6103	−	19.4049i	−1.30729	−	0.754763i	−0.981643	+	0.190729i	$0.938915\pi$
$662$	−19.9900	+	15.0149i	−0.776935	+	0.583569i
$663$	−4.94964	+	5.01746i	−0.192228	+	0.194862i
$664$	22.1076	+	3.60738i	0.857943	+	0.139993i
$665$	7.37571	+	16.3982i	0.286018	+	0.635895i
$666$	−26.1992	−	33.9094i	−1.01520	−	1.31396i
$667$	15.4751	+	8.93454i	0.599197	+	0.345947i
$668$	3.39037	+	3.53277i	0.131177	+	0.136687i
$669$	−18.6388	−	18.3868i	−0.720616	−	0.710877i
$670$	0.0458596	−	0.107573i	0.00177171	−	0.00415590i
$671$	−1.26864	−	2.19735i	−0.0489753	−	0.0848277i
$672$	24.9388	+	7.07499i	0.962036	+	0.272924i
$673$	−1.57631	+	2.73025i	−0.0607624	+	0.105244i	−0.894806	−	0.446454i	$-0.852687\pi$
$673$	−1.57631	+	2.73025i	−0.0607624	+	0.105244i	0.834044	+	0.551698i	$0.186020\pi$
$674$	15.7074	+	20.9121i	0.605027	+	0.805502i
$675$	1.29793	−	1.35202i	0.0499572	−	0.0520394i
$676$	−6.98734	+	24.0846i	−0.268744	+	0.926331i
$677$	−25.6584	+	14.8139i	−0.986132	+	0.569343i	−0.904116	−	0.427288i	$-0.859469\pi$
$677$	−25.6584	+	14.8139i	−0.986132	+	0.569343i	−0.0820158	+	0.996631i	$0.526136\pi$
$678$	45.6246	−	18.7126i	1.75220	−	0.718654i
$679$	15.2596	+	33.9262i	0.585610	+	1.30197i
$680$	−24.8372	+	30.3803i	−0.952462	+	1.16503i
$681$	37.8059	+	9.85486i	1.44872	+	0.377639i
$682$	20.2035	+	8.61299i	0.773630	+	0.329808i
$683$	−1.71743	+	0.991557i	−0.0657155	+	0.0379409i	−0.532498	−	0.846431i	$-0.678747\pi$
$683$	−1.71743	+	0.991557i	−0.0657155	+	0.0379409i	0.466782	+	0.884372i	$0.345413\pi$
$684$	−12.3663	−	12.5396i	−0.472836	−	0.479462i
$685$			23.4684i			0.896683i
$686$	25.7583	+	4.74437i	0.983457	+	0.181141i
$687$	19.6923	+	5.13320i	0.751309	+	0.195844i
$688$	−22.2051	−	0.913832i	−0.846560	−	0.0348395i
$689$	3.03783	−	5.26168i	0.115732	−	0.200454i
$690$	−22.8545	−	3.08977i	−0.870055	−	0.117626i
$691$	13.8290	−	7.98417i	0.526079	−	0.303732i	−0.213339	−	0.976978i	$-0.568434\pi$
$691$	13.8290	−	7.98417i	0.526079	−	0.303732i	0.739418	+	0.673246i	$0.235101\pi$
$692$	−6.47586	+	6.21483i	−0.246175	+	0.236252i
$693$	6.10002	+	13.0832i	0.231721	+	0.496988i
$694$	−3.36127	−	1.43295i	−0.127592	−	0.0543941i
$695$	−9.94843	−	17.2312i	−0.377365	−	0.653616i
$696$	−8.71393	+	19.6848i	−0.330301	+	0.746151i
$697$	−2.12322	+	3.67753i	−0.0804227	+	0.139296i
$698$	26.9801	+	11.5020i	1.02121	+	0.435356i
$699$	−29.4253	−	29.0276i	−1.11297	−	1.09792i
$700$	−0.713752	+	1.77010i	−0.0269773	+	0.0669033i
$701$		−	8.04743i		−	0.303947i	−0.988385	−	0.151974i	$-0.951437\pi$
$701$		−	8.04743i		−	0.303947i	0.988385	−	0.151974i	$-0.0485629\pi$
$702$	0.601207	−	4.95384i	0.0226911	−	0.186971i
$703$	−14.8233	−	25.6747i	−0.559071	−	0.968339i
$704$	−9.63411	−	10.9028i	−0.363099	−	0.410914i
$705$	−0.360875	−	1.31106i	−0.0135913	−	0.0493773i
$706$	−5.12826	+	0.621572i	−0.193005	+	0.0233932i
$707$	−11.5428	−	8.31952i	−0.434111	−	0.312888i
$708$	−6.55906	+	11.0079i	−0.246504	+	0.413704i
$709$	−11.0916	+	6.40372i	−0.416553	+	0.240497i	−0.693601	−	0.720359i	$-0.743977\pi$
$709$	−11.0916	+	6.40372i	−0.416553	+	0.240497i	0.277049	+	0.960856i	$0.410644\pi$
$710$	−1.30944	−	10.8035i	−0.0491426	−	0.405449i
$711$	−0.614941	−	45.1885i	−0.0230621	−	1.69470i
$712$	1.14310	−	7.00545i	0.0428396	−	0.262540i
$713$	17.3621	−	30.0721i	0.650218	−	1.12621i
$714$	9.05346	−	37.7636i	0.338817	−	1.41327i
$715$	2.47638	−	1.42974i	0.0926114	−	0.0534692i
$716$	5.62334	−	5.39668i	0.210154	−	0.201683i
$717$	49.6889	−	13.6771i	1.85567	−	0.510781i
$718$	−2.89120	+	6.78188i	−0.107899	+	0.253097i
$719$	9.01522	−	15.6148i	0.336211	−	0.582334i	−0.647506	−	0.762061i	$-0.724188\pi$
$719$	9.01522	−	15.6148i	0.336211	−	0.582334i	0.983717	+	0.179726i	$0.0575212\pi$
$720$	0.764610	−	27.7733i	0.0284953	−	1.03505i
$721$	−8.63709	+	11.9834i	−0.321662	+	0.446285i
$722$	8.81978	+	11.7422i	0.328238	+	0.437000i
$723$	−10.8984	+	41.8092i	−0.405316	+	1.55490i
$724$	6.42325	+	26.1081i	0.238718	+	0.970301i
$725$	−1.37261	−	0.792475i	−0.0509773	−	0.0294318i
$726$	−2.52441	+	18.6726i	−0.0936896	+	0.693004i
$727$	−7.06453	+	12.2361i	−0.262009	+	0.453813i	−0.966776	−	0.255626i	$-0.917718\pi$
$727$	−7.06453	+	12.2361i	−0.262009	+	0.453813i	0.704767	+	0.709439i	$0.251052\pi$
$728$	1.31099	+	4.90974i	0.0485884	+	0.181967i
$729$	−1.10190	−	26.9775i	−0.0408112	−	0.999167i
$730$	27.9691	−	21.0080i	1.03518	−	0.777542i
$731$			33.2922i			1.23136i
$732$	−2.35859	−	4.21822i	−0.0871761	−	0.155910i
$733$		−	1.49994i		−	0.0554016i	−0.999616	−	0.0277008i	$-0.991181\pi$
$733$		−	1.49994i		−	0.0554016i	0.999616	−	0.0277008i	$-0.00881856\pi$
$734$	−17.9316	+	2.17340i	−0.661866	+	0.0802217i
$735$	−1.87270	−	28.0092i	−0.0690757	−	1.03313i
$736$	−18.9454	+	13.0472i	−0.698337	+	0.480927i
$737$	0.0324762	−	0.0562504i	0.00119628	−	0.00207201i
$738$	−0.402351	−	2.97957i	−0.0148107	−	0.109680i
$739$	24.8198	−	14.3297i	0.913012	−	0.527128i	0.0316129	−	0.999500i	$-0.489936\pi$
$739$	24.8198	−	14.3297i	0.913012	−	0.527128i	0.881399	+	0.472373i	$0.156602\pi$
$740$	13.0315	−	44.9181i	0.479047	−	1.65122i
$741$	0.870846	−	3.34080i	0.0319913	−	0.122727i
$742$	0.659303	+	33.4698i	0.0242038	+	1.22872i
$743$	−6.62399	−	11.4731i	−0.243011	−	0.420907i	0.718560	−	0.695465i	$-0.244802\pi$
$743$	−6.62399	−	11.4731i	−0.243011	−	0.420907i	−0.961570	+	0.274558i	$0.911468\pi$
$744$	38.2528	+	16.9334i	1.40241	+	0.620810i
$745$	−10.5420			−0.386228
$746$	−5.95590	−	49.1389i	−0.218061	−	1.79910i
$747$	12.1583	+	20.4122i	0.444848	+	0.746843i
$748$	−15.7255	+	15.0917i	−0.574982	+	0.551806i
$749$	26.6716	−	11.9965i	0.974557	−	0.438344i
$750$	−26.0739	−	3.52502i	−0.952085	−	0.128716i
$751$	49.0079			1.78832			0.894162	−	0.447744i	$-0.147772\pi$
$751$	49.0079			1.78832			0.894162	+	0.447744i	$0.147772\pi$
$752$	−1.14575	−	0.725898i	−0.0417812	−	0.0264708i
$753$	−50.4874	−	13.1606i	−1.83986	−	0.479597i
$754$	−4.18940	+	0.507778i	−0.152569	+	0.0184922i
$755$			8.13818i			0.296179i
$756$	11.2749	+	25.0774i	0.410063	+	0.912057i
$757$		−	41.0091i		−	1.49050i	−0.666784	−	0.745251i	$-0.732330\pi$
$757$		−	41.0091i		−	1.49050i	0.666784	−	0.745251i	$-0.267670\pi$
$758$	3.06067	+	25.2519i	0.111168	+	0.917191i
$759$	−12.3954	−	3.23111i	−0.449924	−	0.117282i
$760$	3.09559	−	18.9712i	0.112289	−	0.688157i
$761$	53.5988			1.94295			0.971477	−	0.237134i	$-0.0762082\pi$
$761$	53.5988			1.94295			0.971477	+	0.237134i	$0.0762082\pi$
$762$	−4.71532	+	34.8784i	−0.170818	+	1.26351i
$763$	−4.19096	+	41.3860i	−0.151723	+	1.49827i
$764$	17.1519	+	17.8722i	0.620532	+	0.646595i
$765$	−41.6174	+	0.566344i	−1.50468	+	0.0204762i
$766$	34.3791	−	4.16693i	1.24217	−	0.150557i
$767$	−2.51195			−0.0907012
$768$	−18.0629	−	21.0174i	−0.651788	−	0.758401i
$769$	1.30792	+	2.26539i	0.0471649	+	0.0816920i	0.888644	−	0.458598i	$-0.151648\pi$
$769$	1.30792	+	2.26539i	0.0471649	+	0.0816920i	−0.841479	+	0.540290i	$0.818315\pi$
$770$	−7.60748	+	13.7971i	−0.274154	+	0.497214i
$771$	−11.9827	+	45.9686i	−0.431545	+	1.65552i
$772$	3.30546	−	11.3936i	0.118966	−	0.410063i
$773$	26.8658	−	15.5110i	0.966296	−	0.557891i	0.0681912	−	0.997672i	$-0.478277\pi$
$773$	26.8658	−	15.5110i	0.966296	−	0.557891i	0.898105	+	0.439781i	$0.144944\pi$
$774$	−14.4118	−	18.6531i	−0.518021	−	0.670471i
$775$	−1.53999	+	2.66733i	−0.0553179	+	0.0958134i
$776$	6.40446	−	39.2494i	0.229907	−	1.40897i
$777$	7.72482	+	45.6357i	0.277127	+	1.63717i
$778$	1.25210	+	10.3304i	0.0448899	+	0.370362i
$779$		−	2.08011i		−	0.0745278i
$780$	4.75387	−	2.65810i	0.170216	−	0.0951754i
$781$		−	6.04455i		−	0.216291i
$782$	20.6958	+	27.5533i	0.740079	+	0.985304i
$783$	−21.9299	+	6.35857i	−0.783712	+	0.227237i
$784$	−20.1682	−	19.4228i	−0.720293	−	0.693670i
$785$	−18.5238	+	32.0842i	−0.661144	+	1.14513i
$786$	−44.6649	−	6.03841i	−1.59315	−	0.215383i
$787$	−0.423546	−	0.244534i	−0.0150978	−	0.00871671i	0.492432	−	0.870351i	$-0.336108\pi$
$787$	−0.423546	−	0.244534i	−0.0150978	−	0.00871671i	−0.507530	+	0.861634i	$0.669441\pi$
$788$	−9.52676	−	38.7227i	−0.339377	−	1.37944i
$789$	−3.34389	+	12.8280i	−0.119045	+	0.456690i
$790$	39.4393	−	29.6236i	1.40319	−	1.05396i
$791$	−52.9930	−	5.36635i	−1.88422	−	0.190805i
$792$	2.27776	−	15.2630i	0.0809365	−	0.542347i
$793$	0.473698	−	0.820469i	0.0168215	−	0.0291357i
$794$	−19.1279	−	8.15445i	−0.678823	−	0.289391i
$795$	34.5928	−	9.52184i	1.22688	−	0.337705i
$796$	27.3541	+	28.5030i	0.969541	+	1.01026i
$797$	16.1750	−	9.33861i	0.572946	−	0.330791i	−0.185379	−	0.982667i	$-0.559351\pi$
$797$	16.1750	−	9.33861i	0.572946	−	0.330791i	0.758325	+	0.651876i	$0.226018\pi$
$798$	5.40854	+	18.2375i	0.191460	+	0.645601i
$799$	−1.01593	+	1.75964i	−0.0359410	+	0.0622516i
$800$	1.68042	−	1.15726i	0.0594118	−	0.0409154i
$801$	6.46820	−	3.85271i	0.228542	−	0.136129i
$802$	−24.2100	+	2.93438i	−0.854885	+	0.103617i
$803$	16.8261	−	9.71454i	0.593779	−	0.342819i
$804$	0.0633270	−	0.106281i	0.00223337	−	0.00374823i
$805$	20.2083	+	14.5652i	0.712248	+	0.513356i
$806$	0.986745	+	8.14111i	0.0347566	+	0.286758i
$807$	4.02895	+	14.6372i	0.141826	+	0.515253i
$808$	5.38475	+	14.2259i	0.189435	+	0.500465i
$809$	0.348419	+	0.603480i	0.0122498	+	0.0212172i	0.872085	−	0.489354i	$-0.162767\pi$
$809$	0.348419	+	0.603480i	0.0122498	+	0.0212172i	−0.859836	+	0.510571i	$0.829434\pi$
$810$	23.0724	−	18.3330i	0.810680	−	0.644155i
$811$			12.0436i			0.422909i	0.977388	+	0.211454i	$0.0678199\pi$
$811$			12.0436i			0.422909i	−0.977388	+	0.211454i	$0.932180\pi$
$812$	18.3131	−	14.3280i	0.642664	−	0.502815i
$813$	6.66139	+	6.57136i	0.233625	+	0.230468i
$814$	10.1875	−	23.8968i	0.357072	−	0.837582i
$815$	−9.76247	+	16.9091i	−0.341965	+	0.592300i
$816$	−30.3457	+	28.3307i	−1.06231	+	0.991772i
$817$	−8.15407	−	14.1233i	−0.285275	−	0.494110i
$818$	7.96403	−	18.6812i	0.278456	−	0.653173i
$819$	−3.09180	+	4.41510i	−0.108036	+	0.154276i
$820$	2.36765	−	2.27221i	0.0826819	−	0.0793492i
$821$	−1.57146	+	0.907285i	−0.0548444	+	0.0316645i	−0.527171	−	0.849759i	$-0.676747\pi$
$821$	−1.57146	+	0.907285i	−0.0548444	+	0.0316645i	0.472327	+	0.881423i	$0.343414\pi$
$822$	−3.32638	+	24.6046i	−0.116021	+	0.858184i
$823$	−24.3659	+	42.2030i	−0.849343	+	1.47110i	0.0324533	+	0.999473i	$0.489668\pi$
$823$	−24.3659	+	42.2030i	−0.849343	+	1.47110i	−0.881796	+	0.471631i	$0.843665\pi$
$824$	14.7689	−	5.59030i	0.514500	−	0.194747i
$825$	1.09945	+	0.286592i	0.0382778	+	0.00997787i
$826$	11.8477	−	7.15502i	0.412234	−	0.248955i
$827$			26.2418i			0.912518i	0.889847	+	0.456259i	$0.150811\pi$
$827$			26.2418i			0.912518i	−0.889847	+	0.456259i	$0.849189\pi$
$828$	−23.5230	−	6.47872i	−0.817480	−	0.225151i
$829$	26.4650	−	15.2796i	0.919169	−	0.530682i	0.0357992	−	0.999359i	$-0.488602\pi$
$829$	26.4650	−	15.2796i	0.919169	−	0.530682i	0.883370	+	0.468677i	$0.155269\pi$
$830$	−10.1694	+	23.8543i	−0.352985	+	0.827996i
$831$	27.3984	+	7.14194i	0.950439	+	0.247751i
$832$	1.72694	−	5.15084i	0.0598709	−	0.178573i
$833$	−27.8291	+	31.3836i	−0.964222	+	1.08738i
$834$	−7.98774	−	19.4755i	−0.276593	−	0.674380i
$835$	−4.90897	+	2.83420i	−0.169882	+	0.0980814i
$836$	2.97479	−	10.2538i	0.102885	−	0.354634i
$837$	12.3564	+	42.6156i	0.427098	+	1.47301i
$838$	−32.7231	+	24.5789i	−1.13040	+	0.849064i
$839$	−2.24813	+	3.89387i	−0.0776141	+	0.134431i	−0.902220	−	0.431276i	$-0.858064\pi$
$839$	−2.24813	+	3.89387i	−0.0776141	+	0.134431i	0.824606	+	0.565707i	$0.191397\pi$
$840$	−14.8505	+	26.0779i	−0.512390	+	0.899774i
$841$	−4.84532	−	8.39234i	−0.167080	−	0.289391i
$842$	−15.8469	−	6.75571i	−0.546119	−	0.232817i
$843$	34.7334	+	34.2640i	1.19628	+	1.18011i
$844$	28.5330	−	27.3829i	0.982147	−	0.942559i
$845$	−25.1419	−	14.5157i	−0.864909	−	0.499355i
$846$	−0.192519	−	1.42568i	−0.00661893	−	0.0490159i
$847$	11.9001	−	16.5106i	0.408891	−	0.567310i
$848$	19.1531	−	30.2311i	0.657721	−	1.03814i
$849$	−40.2759	+	40.8277i	−1.38227	+	1.40120i
$850$	−1.83567	−	2.44392i	−0.0629629	−	0.0838257i
$851$	−35.5695	−	20.5361i	−1.21931	−	0.703968i
$852$	0.158437	−	11.5122i	0.00542797	−	0.394400i
$853$	19.2074	+	11.0894i	0.657649	+	0.379694i	0.791381	−	0.611324i	$-0.209363\pi$
$853$	19.2074	+	11.0894i	0.657649	+	0.379694i	−0.133731	+	0.991018i	$0.542696\pi$
$854$	0.102807	+	5.21905i	0.00351798	+	0.178592i
$855$	17.5163	−	10.4334i	0.599043	−	0.356813i
$856$	−30.8565	−	5.03496i	−1.05465	−	0.172091i
$857$	−19.5167			−0.666679			−0.333340	−	0.942807i	$-0.608176\pi$
$857$	−19.5167			−0.666679			−0.333340	+	0.942807i	$0.608176\pi$
$858$	2.79892	−	1.14796i	0.0955536	−	0.0391907i
$859$		−	31.4060i		−	1.07156i	−0.844358	−	0.535780i	$-0.820018\pi$
$859$		−	31.4060i		−	1.07156i	0.844358	−	0.535780i	$-0.179982\pi$
$860$	7.16843	−	24.7088i	0.244441	−	0.842563i
$861$	−1.13160	+	3.04399i	−0.0385647	+	0.103739i
$862$	−15.4300	−	20.5427i	−0.525546	−	0.699686i
$863$	1.21440	−	2.10340i	0.0413386	−	0.0716006i	−0.844616	−	0.535373i	$-0.820171\pi$
$863$	1.21440	−	2.10340i	0.0413386	−	0.0716006i	0.885954	+	0.463772i	$0.153504\pi$
$864$	4.73817	−	29.0095i	0.161196	−	0.986922i
$865$	−5.19532	−	8.99856i	−0.176646	−	0.305960i
$866$	−26.2153	+	3.17743i	−0.890831	+	0.107973i
$867$	23.3120	+	22.9969i	0.791717	+	0.781016i
$868$	−27.8431	−	35.5872i	−0.945056	−	1.20791i
$869$	23.7266	−	13.6985i	0.804868	−	0.464691i
$870$	−19.7185	−	15.2398i	−0.668518	−	0.516677i
$871$	0.0242526			0.000821768
$872$	28.1468	−	34.4285i	0.953169	−	1.16589i
$873$	36.2394	−	21.5856i	1.22652	−	0.730560i
$874$	−15.5280	−	6.61980i	−0.525244	−	0.223918i
$875$	23.0550	+	16.6170i	0.779400	+	0.561756i
$876$	32.3008	−	18.0608i	1.09134	−	0.610218i
$877$		−	12.6214i		−	0.426195i	−0.977031	−	0.213097i	$-0.931645\pi$
$877$		−	12.6214i		−	0.426195i	0.977031	−	0.213097i	$-0.0683551\pi$
$878$	4.83768	+	6.44064i	0.163264	+	0.217361i
$879$	2.85630	+	10.3769i	0.0963406	+	0.350005i
$880$	14.9207	−	7.81473i	0.502976	−	0.263434i
$881$	−26.1546			−0.881171			−0.440586	−	0.897711i	$-0.645229\pi$
$881$	−26.1546			−0.881171			−0.440586	+	0.897711i	$0.645229\pi$
$882$	2.00661	−	29.6306i	0.0675662	−	0.997715i
$883$			24.8556i			0.836456i	0.908342	+	0.418228i	$0.137349\pi$
$883$			24.8556i			0.836456i	−0.908342	+	0.418228i	$0.862651\pi$
$884$	−7.81601	−	2.26755i	−0.262881	−	0.0762661i
$885$	−10.5604	−	10.4177i	−0.354985	−	0.350187i
$886$	−22.2519	+	16.7138i	−0.747566	+	0.561510i
$887$	10.9653			0.368178			0.184089	−	0.982910i	$-0.441066\pi$
$887$	10.9653			0.368178			0.184089	+	0.982910i	$0.441066\pi$
$888$	20.0290	−	45.2457i	0.672129	−	1.51834i
$889$	22.2281	−	30.8400i	0.745505	−	1.03434i
$890$	7.55894	+	3.22247i	0.253376	+	0.108017i
$891$	13.9473	−	8.56677i	0.467251	−	0.286998i
$892$	8.42347	−	29.0348i	0.282039	−	0.972156i
$893$		−	0.995302i		−	0.0333065i
$894$	−11.0523	−	1.49420i	−0.369646	−	0.0499737i
$895$	4.51138	+	7.81394i	0.150799	+	0.261191i
$896$	6.52645	+	29.2131i	0.218033	+	0.975941i
$897$	−1.26933	−	4.61148i	−0.0423817	−	0.153973i
$898$	13.7038	−	1.66098i	0.457302	−	0.0554275i
$899$	32.4960	−	18.7616i	1.08380	−	0.625734i
$900$	2.08644	+	0.574648i	0.0695479	+	0.0191549i
$901$	−46.4288	−	26.8057i	−1.54677	−	0.893027i
$902$	1.45737	−	1.09466i	0.0485252	−	0.0364481i
$903$	4.24931	+	25.1035i	0.141408	+	0.835393i
$904$	44.0842	+	36.0407i	1.46622	+	1.19870i
$905$	−31.1256			−1.03465
$906$	−1.15349	+	8.53217i	−0.0383222	+	0.283462i
$907$			10.8403i			0.359946i	0.983672	+	0.179973i	$0.0576011\pi$
$907$			10.8403i			0.359946i	−0.983672	+	0.179973i	$0.942399\pi$
$908$	10.7776	+	43.8069i	0.357667	+	1.45378i
$909$	−7.87594	+	14.0806i	−0.261228	+	0.467023i
$910$	−5.88180	+	0.115862i	−0.194980	+	0.00384079i
$911$	−16.3821	+	28.3747i	−0.542765	+	0.940096i	0.455979	+	0.889990i	$0.349289\pi$
$911$	−16.3821	+	28.3747i	−0.542765	+	0.940096i	−0.998744	+	0.0501055i	$0.984044\pi$
$912$	5.93440	−	19.4509i	0.196508	−	0.644082i
$913$	−7.20162	+	12.4736i	−0.238339	+	0.412815i
$914$	−10.3891	−	13.8315i	−0.343639	−	0.457504i
$915$	5.39416	−	1.48477i	0.178325	−	0.0490849i
$916$	5.61384	+	22.8182i	0.185486	+	0.753933i
$917$	39.4934	+	28.4651i	1.30419	+	0.939999i
$918$	−43.7125	−	5.30502i	−1.44273	−	0.175092i
$919$	15.6214	−	27.0571i	0.515302	−	0.892530i	−0.484540	−	0.874769i	$-0.661013\pi$
$919$	15.6214	−	27.0571i	0.515302	−	0.892530i	0.999842	−	0.0177607i	$-0.00565371\pi$
$920$	−9.42722	−	24.9057i	−0.310806	−	0.821115i
$921$	1.25543	+	0.327254i	0.0413679	+	0.0107834i
$922$	11.3705	+	4.84740i	0.374469	+	0.159641i
$923$	1.95460	−	1.12849i	0.0643364	−	0.0371446i
$924$	−9.93136	+	13.3868i	−0.326718	+	0.440394i
$925$	3.15494	+	1.82151i	0.103734	+	0.0598908i
$926$	14.3542	+	19.1104i	0.471707	+	0.628007i
$927$	14.6181	+	8.17658i	0.480121	+	0.268554i
$928$	−24.7791	+	1.97375i	−0.813414	+	0.0647915i
$929$	−3.67714	−	6.36900i	−0.120643	−	0.208960i	0.799378	−	0.600828i	$-0.205162\pi$
$929$	−3.67714	−	6.36900i	−0.120643	−	0.208960i	−0.920021	+	0.391868i	$0.871829\pi$
$930$	−29.6149	+	38.3181i	−0.971111	+	1.25650i
$931$	4.11910	−	20.1296i	0.134998	−	0.659722i
$932$	13.2983	−	45.8377i	0.435599	−	1.50146i
$933$	−6.49828	−	6.41045i	−0.212744	−	0.209869i
$934$	36.0478	+	15.3676i	1.17952	+	0.502844i
$935$	−12.6160	−	21.8515i	−0.412586	−	0.714620i
$936$	5.36078	−	2.11298i	0.175222	−	0.0690650i
$937$	4.67608			0.152761			0.0763804	−	0.997079i	$-0.475664\pi$
$937$	4.67608			0.152761			0.0763804	+	0.997079i	$0.475664\pi$
$938$	−0.114388	+	0.0690810i	−0.00373491	+	0.00225557i
$939$	−23.5318	+	6.47725i	−0.767932	+	0.211377i
$940$	1.13288	−	1.08722i	0.0369506	−	0.0354612i
$941$	−11.9796	−	6.91641i	−0.390523	−	0.225468i	0.291864	−	0.956460i	$-0.405725\pi$
$941$	−11.9796	−	6.91641i	−0.390523	−	0.225468i	−0.682387	+	0.730991i	$0.739058\pi$
$942$	−23.9682	+	31.0119i	−0.780926	+	1.01042i
$943$	−1.44089	−	2.49569i	−0.0469218	−	0.0812709i
$944$	−14.7837	−	0.608412i	−0.481169	−	0.0198021i
$945$	−31.3087	+	5.73895i	−1.01847	+	0.186688i
$946$	5.60400	−	13.1453i	0.182202	−	0.427390i
$947$	13.2068	−	7.62496i	0.429164	−	0.247778i	−0.269826	−	0.962909i	$-0.586966\pi$
$947$	13.2068	−	7.62496i	0.429164	−	0.247778i	0.698990	+	0.715131i	$0.253633\pi$
$948$	45.5475	−	25.4677i	1.47931	−	0.827151i
$949$	6.28270	+	3.62732i	0.203945	+	0.117748i
$950$	1.37730	+	0.587162i	0.0446856	+	0.0190501i
$951$	−4.13730	−	15.0308i	−0.134161	−	0.487406i
$952$	43.3234	−	11.5681i	1.40412	−	0.374924i
$953$	27.8953			0.903616			0.451808	−	0.892115i	$-0.350779\pi$
$953$	27.8953			0.903616			0.451808	+	0.892115i	$0.350779\pi$
$954$	37.6172	−	5.07968i	1.21790	−	0.164461i
$955$	−24.8345	+	14.3382i	−0.803624	+	0.463973i
$956$	41.2055	+	42.9361i	1.33268	+	1.38865i
$957$	−9.85420	−	9.72101i	−0.318541	−	0.314236i
$958$	−28.9174	+	3.50495i	−0.934280	+	0.113240i
$959$	15.6806	−	21.7558i	0.506352	−	0.702530i
$960$	28.6220	−	14.4925i	0.923772	−	0.467742i
$961$	−20.9586	−	36.3014i	−0.676085	−	1.17101i
$962$	9.62936	−	1.16713i	0.310463	−	0.0376298i
$963$	−16.9698	−	28.4901i	−0.546843	−	0.918079i
$964$	−48.4457	+	11.9188i	−1.56033	+	0.383880i
$965$	11.8937	+	6.86685i	0.382873	+	0.221052i
$966$	19.1222	+	18.1346i	0.615245	+	0.583472i
$967$	−23.9349	−	41.4565i	−0.769694	−	1.33315i	−0.937729	−	0.347369i	$-0.887075\pi$
$967$	−23.9349	−	41.4565i	−0.769694	−	1.33315i	0.168034	−	0.985781i	$-0.446258\pi$
$968$	−20.3484	+	7.70224i	−0.654024	+	0.247559i
$969$	−29.4791	−	7.68431i	−0.947004	−	0.246856i
$970$	42.3505	+	18.0545i	1.35979	+	0.579696i
$971$	−16.1528	−	9.32582i	−0.518368	−	0.299280i	0.217899	−	0.975971i	$-0.430080\pi$
$971$	−16.1528	−	9.32582i	−0.518368	−	0.299280i	−0.736267	+	0.676692i	$0.763413\pi$
$972$	26.7878	−	15.9503i	0.859221	−	0.511605i
$973$	−2.29070	+	22.6208i	−0.0734364	+	0.725189i
$974$	1.41978	+	1.89022i	0.0454927	+	0.0605667i
$975$	0.112587	+	0.409028i	0.00360567	+	0.0130994i
$976$	2.98660	−	4.71402i	0.0955988	−	0.150892i
$977$	−25.7750	+	44.6436i	−0.824615	+	1.42827i	0.0775990	+	0.996985i	$0.475275\pi$
$977$	−25.7750	+	44.6436i	−0.824615	+	1.42827i	−0.902214	+	0.431290i	$0.858059\pi$
$978$	−12.6318	+	16.3440i	−0.403920	+	0.522624i
$979$	3.95261	+	2.28204i	0.126326	+	0.0729344i
$980$	27.4117	−	17.3001i	0.875634	−	0.552633i
$981$	47.1629	−	0.641809i	1.50580	−	0.0204914i
$982$	10.2594	−	7.70598i	0.327389	−	0.245908i
$983$	17.7556			0.566316			0.283158	−	0.959073i	$-0.408618\pi$
$983$	17.7556			0.566316			0.283158	+	0.959073i	$0.408618\pi$
$984$	2.80433	−	2.04663i	0.0893989	−	0.0652443i
$985$	46.1644			1.47092
$986$	4.48061	+	36.9671i	0.142692	+	1.17727i
$987$	−0.541452	+	1.45650i	−0.0172346	+	0.0463609i
$988$	3.87109	−	0.952386i	0.123156	−	0.0302994i
$989$	−19.5663	−	11.2966i	−0.622172	−	0.359211i
$990$	16.5278	+	6.78173i	0.525287	+	0.215538i
$991$	1.45541	+	2.52084i	0.0462326	+	0.0800773i	0.888216	−	0.459427i	$-0.151945\pi$
$991$	1.45541	+	2.52084i	0.0462326	+	0.0800773i	−0.841983	+	0.539504i	$0.818612\pi$
$992$	3.83551	+	48.1523i	0.121778	+	1.52884i
$993$	−8.12603	−	29.5218i	−0.257872	−	0.936847i
$994$	−6.00455	+	10.8900i	−0.190453	+	0.345411i
$995$	−39.6065	+	22.8668i	−1.25561	+	0.724926i
$996$	−14.0428	+	23.5678i	−0.444963	+	0.746774i
$997$		−	47.0918i		−	1.49141i	−0.666276	−	0.745705i	$-0.732113\pi$
$997$		−	47.0918i		−	1.49141i	0.666276	−	0.745705i	$-0.267887\pi$
$998$	0.195058	+	1.60932i	0.00617446	+	0.0509421i
$999$	50.4060	−	14.6152i	1.59478	−	0.462404i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	504.2.w.a.205.4	✓	184
7.4	even	3		504.2.cq.a.277.59	yes	184
8.5	even	2	inner	504.2.w.a.205.64	yes	184
9.4	even	3		504.2.cq.a.373.59	yes	184
56.53	even	6		504.2.cq.a.277.60	yes	184
63.4	even	3	inner	504.2.w.a.445.64	yes	184
72.13	even	6		504.2.cq.a.373.60	yes	184
504.445	even	6	inner	504.2.w.a.445.4	yes	184

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
504.2.w.a.205.4	✓	184	1.1	even	1	trivial
504.2.w.a.205.64	yes	184	8.5	even	2	inner
504.2.w.a.445.4	yes	184	504.445	even	6	inner
504.2.w.a.445.64	yes	184	63.4	even	3	inner
504.2.cq.a.277.59	yes	184	7.4	even	3
504.2.cq.a.277.60	yes	184	56.53	even	6
504.2.cq.a.373.59	yes	184	9.4	even	3
504.2.cq.a.373.60	yes	184	72.13	even	6

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:	\( N \)	\(=\)	\( 504 = 2^{3} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	504.w (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.40394 + 0.170165i) q^{2} +(0.436895 - 1.67604i) q^{3} +(1.94209 - 0.477802i) q^{4} +2.31532i q^{5} +(-0.328169 + 2.42741i) q^{6} +(1.54699 - 2.14635i) q^{7} +(-2.64527 + 1.00128i) q^{8} +(-2.61825 - 1.46451i) q^{9} +O(q^{10})\)	\(q+(-1.40394 + 0.170165i) q^{2} +(0.436895 - 1.67604i) q^{3} +(1.94209 - 0.477802i) q^{4} +2.31532i q^{5} +(-0.328169 + 2.42741i) q^{6} +(1.54699 - 2.14635i) q^{7} +(-2.64527 + 1.00128i) q^{8} +(-2.61825 - 1.46451i) q^{9} +(-0.393985 - 3.25056i) q^{10} -1.81868i q^{11} +(0.0476706 - 3.46377i) q^{12} +(0.588099 - 0.339539i) q^{13} +(-1.80665 + 3.27659i) q^{14} +(3.88057 + 1.01155i) q^{15} +(3.54341 - 1.85587i) q^{16} +(-2.99608 - 5.18936i) q^{17} +(3.92507 + 1.61055i) q^{18} +(2.54200 + 1.46762i) q^{19} +(1.10626 + 4.49655i) q^{20} +(-2.92150 - 3.53055i) q^{21} +(0.309476 + 2.55332i) q^{22} +4.06648 q^{23} +(0.522486 + 4.87104i) q^{24} -0.360688 q^{25} +(-0.767878 + 0.576766i) q^{26} +(-3.59848 + 3.74846i) q^{27} +(1.97886 - 4.90756i) q^{28} +(3.80553 + 2.19712i) q^{29} +(-5.62021 - 0.759816i) q^{30} +(4.26958 - 7.39513i) q^{31} +(-4.65893 + 3.20849i) q^{32} +(-3.04819 - 0.794572i) q^{33} +(5.08936 + 6.77572i) q^{34} +(4.96948 + 3.58177i) q^{35} +(-5.78461 - 1.59320i) q^{36} +(-8.74702 - 5.05009i) q^{37} +(-3.81855 - 1.62790i) q^{38} +(-0.312145 - 1.13402i) q^{39} +(-2.31828 - 6.12463i) q^{40} +(-0.354333 - 0.613723i) q^{41} +(4.70239 + 4.45954i) q^{42} +(-4.81161 - 2.77798i) q^{43} +(-0.868970 - 3.53204i) q^{44} +(3.39080 - 6.06207i) q^{45} +(-5.70908 + 0.691971i) q^{46} +(-0.169543 - 0.293657i) q^{47} +(-1.56242 - 6.74973i) q^{48} +(-2.21363 - 6.64077i) q^{49} +(0.506383 - 0.0613764i) q^{50} +(-10.0066 + 2.75436i) q^{51} +(0.979908 - 0.940410i) q^{52} +(7.74826 - 4.47346i) q^{53} +(4.41419 - 5.87494i) q^{54} +4.21082 q^{55} +(-1.94311 + 7.22664i) q^{56} +(3.57039 - 3.61931i) q^{57} +(-5.71660 - 2.43706i) q^{58} +(-3.20348 - 1.84953i) q^{59} +(8.01973 + 0.110372i) q^{60} +(1.20821 - 0.697560i) q^{61} +(-4.73584 + 11.1088i) q^{62} +(-7.19375 + 3.35409i) q^{63} +(5.99488 - 5.29730i) q^{64} +(0.786141 + 1.36164i) q^{65} +(4.41468 + 0.596836i) q^{66} +(0.0309292 + 0.0178570i) q^{67} +(-8.29814 - 8.64666i) q^{68} +(1.77662 - 6.81559i) q^{69} +(-7.58633 - 4.18296i) q^{70} +3.32359 q^{71} +(8.39234 + 1.25242i) q^{72} +(5.34153 + 9.25180i) q^{73} +(13.1396 + 5.60159i) q^{74} +(-0.157583 + 0.604528i) q^{75} +(5.63802 + 1.63568i) q^{76} +(-3.90353 - 2.81349i) q^{77} +(0.631204 + 1.53898i) q^{78} +(7.53212 + 13.0460i) q^{79} +(4.29692 + 8.20411i) q^{80} +(4.71043 + 7.66889i) q^{81} +(0.601896 + 0.801335i) q^{82} +(-6.85858 - 3.95980i) q^{83} +(-7.36072 - 5.46075i) q^{84} +(12.0150 - 6.93687i) q^{85} +(7.22792 + 3.08135i) q^{86} +(5.34508 - 5.41832i) q^{87} +(1.82101 + 4.81090i) q^{88} +(-1.25478 + 2.17334i) q^{89} +(-3.72893 + 9.08777i) q^{90} +(0.181014 - 1.78753i) q^{91} +(7.89745 - 1.94297i) q^{92} +(-10.5292 - 10.3869i) q^{93} +(0.287998 + 0.383426i) q^{94} +(-3.39801 + 5.88553i) q^{95} +(3.34210 + 9.21034i) q^{96} +(-7.03015 + 12.1766i) q^{97} +(4.23783 + 8.94655i) q^{98} +(-2.66348 + 4.76176i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 184 q + q^{2} + q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9}+O(q^{10}) \) 184 * q + q^2 + q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9	\( 184 q + q^{2} + q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9} + 2 q^{10} - 17 q^{12} - 7 q^{14} - 2 q^{15} + q^{16} - 4 q^{17} + 13 q^{18} + 6 q^{20} + 2 q^{22} - 4 q^{23} + 12 q^{24} - 156 q^{25} - 4 q^{26} - 8 q^{28} - 18 q^{30} + 2 q^{31} + q^{32} + 22 q^{33} - 18 q^{36} + 10 q^{38} - 14 q^{39} + 8 q^{40} - 4 q^{41} + 3 q^{42} + 17 q^{44} - 6 q^{46} + 42 q^{47} - 3 q^{48} - 2 q^{49} - 31 q^{50} - 18 q^{52} - 58 q^{54} + 4 q^{55} - 34 q^{56} - 20 q^{57} - 10 q^{58} + 26 q^{60} + 32 q^{62} + 50 q^{63} - 8 q^{64} + 22 q^{65} + 79 q^{66} + 24 q^{68} + 8 q^{70} - 16 q^{71} - 27 q^{72} - 4 q^{73} - 38 q^{74} - 6 q^{76} - 47 q^{78} + 2 q^{79} - 11 q^{80} + 6 q^{81} + q^{84} + 46 q^{86} + 4 q^{87} + 14 q^{88} + 4 q^{89} - 35 q^{90} - 48 q^{92} + 9 q^{94} + 22 q^{95} - 16 q^{96} - 4 q^{97} - 83 q^{98}+O(q^{100}) \) 184 * q + q^2 + q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9 + 2 * q^10 - 17 * q^12 - 7 * q^14 - 2 * q^15 + q^16 - 4 * q^17 + 13 * q^18 + 6 * q^20 + 2 * q^22 - 4 * q^23 + 12 * q^24 - 156 * q^25 - 4 * q^26 - 8 * q^28 - 18 * q^30 + 2 * q^31 + q^32 + 22 * q^33 - 18 * q^36 + 10 * q^38 - 14 * q^39 + 8 * q^40 - 4 * q^41 + 3 * q^42 + 17 * q^44 - 6 * q^46 + 42 * q^47 - 3 * q^48 - 2 * q^49 - 31 * q^50 - 18 * q^52 - 58 * q^54 + 4 * q^55 - 34 * q^56 - 20 * q^57 - 10 * q^58 + 26 * q^60 + 32 * q^62 + 50 * q^63 - 8 * q^64 + 22 * q^65 + 79 * q^66 + 24 * q^68 + 8 * q^70 - 16 * q^71 - 27 * q^72 - 4 * q^73 - 38 * q^74 - 6 * q^76 - 47 * q^78 + 2 * q^79 - 11 * q^80 + 6 * q^81 + q^84 + 46 * q^86 + 4 * q^87 + 14 * q^88 + 4 * q^89 - 35 * q^90 - 48 * q^92 + 9 * q^94 + 22 * q^95 - 16 * q^96 - 4 * q^97 - 83 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more