LMFDB - Embedded newform 588.2.x.b.223.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [588,2,Mod(55,588)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(588, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([7, 0, 9]))

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

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

chi := DirichletCharacter("588.55");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 588 = 2^{2} \cdot 3 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	588.x (of order $14$, degree $6$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$4.69520363885$
Analytic rank:	$0$
Dimension:	$168$
Relative dimension:	$28$ over $\Q(\zeta_{14})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label			223.8
Character	$\chi$	$=$	588.223
Dual form			588.2.x.b.559.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.865398 - 1.11852i) q^{2} +(0.222521 - 0.974928i) q^{3} +(-0.502172 + 1.93593i) q^{4} +(3.66097 + 0.835592i) q^{5} +(-1.28305 + 0.594807i) q^{6} +(-0.940574 + 2.47292i) q^{7} +(2.59995 - 1.11366i) q^{8} +(-0.900969 - 0.433884i) q^{9} +O(q^{10})$	\(q+(-0.865398 - 1.11852i) q^{2} +(0.222521 - 0.974928i) q^{3} +(-0.502172 + 1.93593i) q^{4} +(3.66097 + 0.835592i) q^{5} +(-1.28305 + 0.594807i) q^{6} +(-0.940574 + 2.47292i) q^{7} +(2.59995 - 1.11366i) q^{8} +(-0.900969 - 0.433884i) q^{9} +(-2.23357 - 4.81799i) q^{10} +(-0.615107 - 1.27728i) q^{11} +(1.77565 + 0.920366i) q^{12} +(2.92044 + 6.06435i) q^{13} +(3.57998 - 1.08801i) q^{14} +(1.62928 - 3.38324i) q^{15} +(-3.49565 - 1.94434i) q^{16} +(-2.52480 + 2.01346i) q^{17} +(0.294389 + 1.38323i) q^{18} -3.53465 q^{19} +(-3.45608 + 6.66777i) q^{20} +(2.20162 + 1.46727i) q^{21} +(-0.896353 + 1.79337i) q^{22} +(5.43528 + 4.33449i) q^{23} +(-0.507195 - 2.78258i) q^{24} +(8.19963 + 3.94874i) q^{25} +(4.25575 - 8.51464i) q^{26} +(-0.623490 + 0.781831i) q^{27} +(-4.31506 - 3.06272i) q^{28} +(3.09780 + 3.88452i) q^{29} +(-5.19420 + 1.10547i) q^{30} +1.53816 q^{31} +(0.850345 + 5.59258i) q^{32} +(-1.38213 + 0.315463i) q^{33} +(4.43705 + 1.08159i) q^{34} +(-5.50976 + 8.26734i) q^{35} +(1.29241 - 1.52633i) q^{36} +(-6.46581 - 8.10787i) q^{37} +(3.05888 + 3.95358i) q^{38} +(6.56216 - 1.49777i) q^{39} +(10.4489 - 1.90458i) q^{40} +(-4.59645 - 1.04911i) q^{41} +(-0.264109 - 3.73232i) q^{42} +(1.11278 - 0.253985i) q^{43} +(2.78162 - 0.549388i) q^{44} +(-2.93587 - 2.34128i) q^{45} +(0.144532 - 9.83053i) q^{46} +(3.04994 - 1.46877i) q^{47} +(-2.67344 + 2.97535i) q^{48} +(-5.23064 - 4.65192i) q^{49} +(-2.67921 - 12.5887i) q^{50} +(1.40116 + 2.90954i) q^{51} +(-13.2067 + 2.60841i) q^{52} +(5.08062 - 6.37090i) q^{53} +(1.41406 + 0.0207900i) q^{54} +(-1.18460 - 5.19007i) q^{55} +(0.308542 + 7.47695i) q^{56} +(-0.786534 + 3.44603i) q^{57} +(1.66408 - 6.82660i) q^{58} +(-1.42951 - 6.26308i) q^{59} +(5.73154 + 4.85315i) q^{60} +(8.39662 - 6.69608i) q^{61} +(-1.33112 - 1.72046i) q^{62} +(1.92039 - 1.81992i) q^{63} +(5.51952 - 5.79093i) q^{64} +(5.62431 + 24.6417i) q^{65} +(1.54895 + 1.27294i) q^{66} -10.7256i q^{67} +(-2.63003 - 5.89894i) q^{68} +(5.43528 - 4.33449i) q^{69} +(14.0153 - 0.991760i) q^{70} +(5.74181 + 4.57894i) q^{71} +(-2.82568 - 0.124704i) q^{72} +(3.06354 - 6.36150i) q^{73} +(-3.47331 + 14.2487i) q^{74} +(5.67432 - 7.11538i) q^{75} +(1.77500 - 6.84283i) q^{76} +(3.73717 - 0.319729i) q^{77} +(-7.35417 - 6.04374i) q^{78} +4.18757i q^{79} +(-11.1728 - 10.0391i) q^{80} +(0.623490 + 0.781831i) q^{81} +(2.80431 + 6.04912i) q^{82} +(-6.05594 - 2.91639i) q^{83} +(-3.94612 + 3.52536i) q^{84} +(-10.9256 + 5.26151i) q^{85} +(-1.24708 - 1.02487i) q^{86} +(4.47645 - 2.15574i) q^{87} +(-3.02171 - 2.63586i) q^{88} +(-1.93655 + 4.02129i) q^{89} +(-0.0780688 + 5.30996i) q^{90} +(-17.7435 + 1.51803i) q^{91} +(-11.1207 + 8.34566i) q^{92} +(0.342273 - 1.49959i) q^{93} +(-4.28226 - 2.14034i) q^{94} +(-12.9402 - 2.95353i) q^{95} +(5.64158 + 0.415440i) q^{96} -8.69538i q^{97} +(-0.676682 + 9.87634i) q^{98} +1.41768i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) $ 168 * q + 28 * q^3 - 2 * q^7 + 6 * q^8 - 28 * q^9	$ 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9} - 20 q^{10} + 14 q^{14} - 20 q^{16} - 12 q^{19} + 25 q^{20} + 2 q^{21} - 6 q^{22} - 27 q^{24} + 32 q^{25} - 6 q^{26} + 28 q^{27} + 6 q^{28} - 8 q^{30} + 4 q^{31} - 45 q^{32} - 44 q^{34} + 12 q^{35} - 10 q^{37} - 35 q^{38} - 14 q^{39} + 40 q^{40} + 7 q^{42} + 20 q^{44} + 28 q^{46} + 8 q^{47} - 8 q^{48} - 8 q^{49} + 114 q^{50} - 20 q^{52} - 8 q^{53} + 23 q^{56} + 12 q^{57} - 6 q^{58} - 20 q^{59} + 10 q^{60} - 14 q^{61} + 16 q^{62} + 12 q^{63} - 42 q^{64} - 8 q^{65} + 6 q^{66} + 16 q^{68} + 19 q^{70} - 28 q^{71} - 15 q^{72} + 22 q^{74} - 18 q^{75} - 49 q^{76} + 8 q^{77} + 6 q^{78} - 26 q^{80} - 28 q^{81} - 12 q^{82} - 10 q^{83} - 27 q^{84} - 24 q^{85} - 34 q^{86} + 94 q^{88} - 20 q^{90} + 16 q^{91} + 7 q^{92} - 4 q^{93} + 11 q^{94} + 10 q^{96} - 150 q^{98}+O(q^{100}) $ 168 * q + 28 * q^3 - 2 * q^7 + 6 * q^8 - 28 * q^9 - 20 * q^10 + 14 * q^14 - 20 * q^16 - 12 * q^19 + 25 * q^20 + 2 * q^21 - 6 * q^22 - 27 * q^24 + 32 * q^25 - 6 * q^26 + 28 * q^27 + 6 * q^28 - 8 * q^30 + 4 * q^31 - 45 * q^32 - 44 * q^34 + 12 * q^35 - 10 * q^37 - 35 * q^38 - 14 * q^39 + 40 * q^40 + 7 * q^42 + 20 * q^44 + 28 * q^46 + 8 * q^47 - 8 * q^48 - 8 * q^49 + 114 * q^50 - 20 * q^52 - 8 * q^53 + 23 * q^56 + 12 * q^57 - 6 * q^58 - 20 * q^59 + 10 * q^60 - 14 * q^61 + 16 * q^62 + 12 * q^63 - 42 * q^64 - 8 * q^65 + 6 * q^66 + 16 * q^68 + 19 * q^70 - 28 * q^71 - 15 * q^72 + 22 * q^74 - 18 * q^75 - 49 * q^76 + 8 * q^77 + 6 * q^78 - 26 * q^80 - 28 * q^81 - 12 * q^82 - 10 * q^83 - 27 * q^84 - 24 * q^85 - 34 * q^86 + 94 * q^88 - 20 * q^90 + 16 * q^91 + 7 * q^92 - 4 * q^93 + 11 * q^94 + 10 * q^96 - 150 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/588\mathbb{Z}\right)^\times$.

$n$	$197$	$295$	$493$
$\chi(n)$	$1$	$-1$	$e\left(\frac{1}{14}\right)$

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 $

$2$	−0.865398	−	1.11852i	−0.611929	−	0.790913i
$2$	−0.865398	−	1.11852i	−0.611929	−	0.790913i
$3$	0.222521	−	0.974928i	0.128473	−	0.562875i
$3$	0.222521	−	0.974928i	0.128473	−	0.562875i
$4$	−0.502172	+	1.93593i	−0.251086	+	0.967965i
$5$	3.66097	+	0.835592i	1.63724	+	0.373688i	0.939468	−	0.342637i	$-0.111320\pi$
$5$	3.66097	+	0.835592i	1.63724	+	0.373688i	0.697767	+	0.716325i	$0.254177\pi$
$6$	−1.28305	+	0.594807i	−0.523801	+	0.242829i
$7$	−0.940574	+	2.47292i	−0.355504	+	0.934675i
$7$	−0.940574	+	2.47292i	−0.355504	+	0.934675i
$8$	2.59995	−	1.11366i	0.919222	−	0.393739i
$9$	−0.900969	−	0.433884i	−0.300323	−	0.144628i
$10$	−2.23357	−	4.81799i	−0.706317	−	1.52358i
$11$	−0.615107	−	1.27728i	−0.185462	−	0.385115i	0.787421	−	0.616416i	$-0.211416\pi$
$11$	−0.615107	−	1.27728i	−0.185462	−	0.385115i	−0.972882	+	0.231301i	$0.925702\pi$
$12$	1.77565	+	0.920366i	0.512585	+	0.265687i
$13$	2.92044	+	6.06435i	0.809984	+	1.68195i	0.728268	+	0.685292i	$0.240326\pi$
$13$	2.92044	+	6.06435i	0.809984	+	1.68195i	0.0817156	+	0.996656i	$0.473960\pi$
$14$	3.57998	−	1.08801i	0.956789	−	0.290782i
$15$	1.62928	−	3.38324i	0.420679	−	0.873550i
$16$	−3.49565	−	1.94434i	−0.873912	−	0.486085i
$17$	−2.52480	+	2.01346i	−0.612354	+	0.488336i	−0.879868	−	0.475218i	$-0.842369\pi$
$17$	−2.52480	+	2.01346i	−0.612354	+	0.488336i	0.267514	+	0.963554i	$0.413798\pi$
$18$	0.294389	+	1.38323i	0.0693882	+	0.326031i
$19$	−3.53465			−0.810904			−0.405452	−	0.914116i	$-0.632886\pi$
$19$	−3.53465			−0.810904			−0.405452	+	0.914116i	$0.632886\pi$
$20$	−3.45608	+	6.66777i	−0.772804	+	1.49096i
$21$	2.20162	+	1.46727i	0.480433	+	0.320184i
$22$	−0.896353	+	1.79337i	−0.191103	+	0.382347i
$23$	5.43528	+	4.33449i	1.13333	+	0.903804i	0.996230	−	0.0867524i	$-0.0276489\pi$
$23$	5.43528	+	4.33449i	1.13333	+	0.903804i	0.137105	+	0.990557i	$0.456220\pi$
$24$	−0.507195	−	2.78258i	−0.103531	−	0.567992i
$25$	8.19963	+	3.94874i	1.63993	+	0.789747i
$26$	4.25575	−	8.51464i	0.834622	−	1.66986i
$27$	−0.623490	+	0.781831i	−0.119991	+	0.150464i
$28$	−4.31506	−	3.06272i	−0.815470	−	0.578799i
$29$	3.09780	+	3.88452i	0.575247	+	0.721337i	0.981294	−	0.192515i	$-0.0616645\pi$
$29$	3.09780	+	3.88452i	0.575247	+	0.721337i	−0.406047	+	0.913852i	$0.633093\pi$
$30$	−5.19420	+	1.10547i	−0.948328	+	0.201830i
$31$	1.53816			0.276261			0.138131	−	0.990414i	$-0.455891\pi$
$31$	1.53816			0.276261			0.138131	+	0.990414i	$0.455891\pi$
$32$	0.850345	+	5.59258i	0.150321	+	0.988637i
$33$	−1.38213	+	0.315463i	−0.240598	+	0.0549150i
$34$	4.43705	+	1.08159i	0.760948	+	0.185492i
$35$	−5.50976	+	8.26734i	−0.931320	+	1.39743i
$36$	1.29241	−	1.52633i	0.215402	−	0.254388i
$37$	−6.46581	−	8.10787i	−1.06297	−	1.33293i	−0.940250	−	0.340484i	$-0.889409\pi$
$37$	−6.46581	−	8.10787i	−1.06297	−	1.33293i	−0.122722	−	0.992441i	$-0.539163\pi$
$38$	3.05888	+	3.95358i	0.496216	+	0.641355i
$39$	6.56216	−	1.49777i	1.05079	−	0.239835i
$40$	10.4489	−	1.90458i	1.65212	−	0.301140i
$41$	−4.59645	−	1.04911i	−0.717845	−	0.163843i	−0.152030	−	0.988376i	$-0.548581\pi$
$41$	−4.59645	−	1.04911i	−0.717845	−	0.163843i	−0.565815	+	0.824532i	$0.691438\pi$
$42$	−0.264109	−	3.73232i	−0.0407529	−	0.575910i
$43$	1.11278	−	0.253985i	0.169697	−	0.0387323i	−0.136828	−	0.990595i	$-0.543691\pi$
$43$	1.11278	−	0.253985i	0.169697	−	0.0387323i	0.306525	+	0.951863i	$0.400834\pi$
$44$	2.78162	−	0.549388i	0.419345	−	0.0828234i
$45$	−2.93587	−	2.34128i	−0.437654	−	0.349017i
$46$	0.144532	−	9.83053i	0.0213100	−	1.44943i
$47$	3.04994	−	1.46877i	0.444879	−	0.214243i	−0.198013	−	0.980199i	$-0.563449\pi$
$47$	3.04994	−	1.46877i	0.444879	−	0.214243i	0.642892	+	0.765957i	$0.277734\pi$
$48$	−2.67344	+	2.97535i	−0.385879	+	0.429454i
$49$	−5.23064	−	4.65192i	−0.747234	−	0.664561i
$50$	−2.67921	−	12.5887i	−0.378898	−	1.78031i
$51$	1.40116	+	2.90954i	0.196201	+	0.407416i
$52$	−13.2067	+	2.60841i	−1.83144	+	0.361722i
$53$	5.08062	−	6.37090i	0.697877	−	0.875110i	−0.298986	−	0.954258i	$-0.596648\pi$
$53$	5.08062	−	6.37090i	0.697877	−	0.875110i	0.996863	+	0.0791474i	$0.0252198\pi$
$54$	1.41406	+	0.0207900i	0.192429	+	0.00282916i
$55$	−1.18460	−	5.19007i	−0.159731	−	0.699829i
$56$	0.308542	+	7.47695i	0.0412306	+	0.999150i
$57$	−0.786534	+	3.44603i	−0.104179	+	0.456438i
$58$	1.66408	−	6.82660i	0.218504	−	0.896377i
$59$	−1.42951	−	6.26308i	−0.186106	−	0.815383i	−0.978644	−	0.205561i	$-0.934098\pi$
$59$	−1.42951	−	6.26308i	−0.186106	−	0.815383i	0.792538	−	0.609822i	$-0.208759\pi$
$60$	5.73154	+	4.85315i	0.739939	+	0.626539i
$61$	8.39662	−	6.69608i	1.07508	−	0.857345i	0.0847923	−	0.996399i	$-0.472977\pi$
$61$	8.39662	−	6.69608i	1.07508	−	0.857345i	0.990285	+	0.139053i	$0.0444059\pi$
$62$	−1.33112	−	1.72046i	−0.169052	−	0.218499i
$63$	1.92039	−	1.81992i	0.241946	−	0.229289i
$64$	5.51952	−	5.79093i	0.689940	−	0.723867i
$65$	5.62431	+	24.6417i	0.697609	+	3.05643i
$66$	1.54895	+	1.27294i	0.190662	+	0.156688i
$67$		−	10.7256i		−	1.31034i	−0.755480	−	0.655172i	$-0.772596\pi$
$67$		−	10.7256i		−	1.31034i	0.755480	−	0.655172i	$-0.227404\pi$
$68$	−2.63003	−	5.89894i	−0.318939	−	0.715351i
$69$	5.43528	−	4.33449i	0.654331	−	0.521812i
$70$	14.0153	−	0.991760i	1.67515	−	0.118538i
$71$	5.74181	+	4.57894i	0.681427	+	0.543420i	0.901885	−	0.431976i	$-0.142184\pi$
$71$	5.74181	+	4.57894i	0.681427	+	0.543420i	−0.220457	+	0.975397i	$0.570755\pi$
$72$	−2.82568	−	0.124704i	−0.333009	−	0.0146965i
$73$	3.06354	−	6.36150i	0.358560	−	0.744557i	−0.641179	−	0.767391i	$-0.721555\pi$
$73$	3.06354	−	6.36150i	0.358560	−	0.744557i	0.999739	+	0.0228338i	$0.00726886\pi$
$74$	−3.47331	+	14.2487i	−0.403764	+	1.65637i
$75$	5.67432	−	7.11538i	0.655214	−	0.821613i
$76$	1.77500	−	6.84283i	0.203607	−	0.784927i
$77$	3.73717	−	0.319729i	0.425890	−	0.0364365i
$78$	−7.35417	−	6.04374i	−0.832696	−	0.684319i
$79$			4.18757i			0.471138i	0.971858	+	0.235569i	$0.0756954\pi$
$79$			4.18757i			0.471138i	−0.971858	+	0.235569i	$0.924305\pi$
$80$	−11.1728	−	10.0391i	−1.24915	−	1.12241i
$81$	0.623490	+	0.781831i	0.0692766	+	0.0868702i
$82$	2.80431	+	6.04912i	0.309684	+	0.668013i
$83$	−6.05594	−	2.91639i	−0.664726	−	0.320115i	0.0709196	−	0.997482i	$-0.477407\pi$
$83$	−6.05594	−	2.91639i	−0.664726	−	0.320115i	−0.735645	+	0.677367i	$0.763121\pi$
$84$	−3.94612	+	3.52536i	−0.430557	+	0.384648i
$85$	−10.9256	+	5.26151i	−1.18505	+	0.570691i
$86$	−1.24708	−	1.02487i	−0.134477	−	0.110514i
$87$	4.47645	−	2.15574i	0.479926	−	0.231120i
$88$	−3.02171	−	2.63586i	−0.322115	−	0.280983i
$89$	−1.93655	+	4.02129i	−0.205274	+	0.426256i	−0.978035	−	0.208441i	$-0.933161\pi$
$89$	−1.93655	+	4.02129i	−0.205274	+	0.426256i	0.772761	+	0.634697i	$0.218875\pi$
$90$	−0.0780688	+	5.30996i	−0.00822917	+	0.559719i
$91$	−17.7435	+	1.51803i	−1.86003	+	0.159133i
$92$	−11.1207	+	8.34566i	−1.15941	+	0.870095i
$93$	0.342273	−	1.49959i	0.0354920	−	0.155501i
$94$	−4.28226	−	2.14034i	−0.441682	−	0.220759i
$95$	−12.9402	−	2.95353i	−1.32764	−	0.303025i
$96$	5.64158	+	0.415440i	0.575791	+	0.0424007i
$97$		−	8.69538i		−	0.882882i	−0.897290	−	0.441441i	$-0.854467\pi$
$97$		−	8.69538i		−	0.882882i	0.897290	−	0.441441i	$-0.145533\pi$
$98$	−0.676682	+	9.87634i	−0.0683552	+	0.997661i
$99$			1.41768i			0.142482i
$100$	−11.7621	+	13.8910i	−1.17621	+	1.38910i
$101$	1.49162	+	0.340454i	0.148422	+	0.0338764i	0.296086	−	0.955161i	$-0.404318\pi$
$101$	1.49162	+	0.340454i	0.148422	+	0.0338764i	−0.147664	+	0.989038i	$0.547176\pi$
$102$	2.04181	−	4.08513i	0.202170	−	0.404488i
$103$	−4.29755	+	18.8288i	−0.423450	+	1.85525i	0.0882619	+	0.996097i	$0.471869\pi$
$103$	−4.29755	+	18.8288i	−0.423450	+	1.85525i	−0.511712	+	0.859157i	$0.670988\pi$
$104$	14.3466	+	12.5147i	1.40680	+	1.22716i
$105$	6.83402	+	7.21128i	0.666932	+	0.703749i
$106$	−11.5227	−	0.169411i	−1.11919	−	0.0164546i
$107$	4.01597	−	8.33926i	0.388239	−	0.806186i	−0.611648	−	0.791130i	$-0.709493\pi$
$107$	4.01597	−	8.33926i	0.388239	−	0.806186i	0.999887	−	0.0150562i	$-0.00479272\pi$
$108$	−1.20047	−	1.59965i	−0.115515	−	0.153926i
$109$	−8.95883	+	4.31434i	−0.858100	+	0.413239i	−0.810578	−	0.585631i	$-0.800847\pi$
$109$	−8.95883	+	4.31434i	−0.858100	+	0.413239i	−0.0475222	+	0.998870i	$0.515132\pi$
$110$	−4.78004	+	5.81648i	−0.455759	+	0.554579i
$111$	−9.34337	+	4.49953i	−0.886833	+	0.427076i
$112$	8.09610	−	6.81565i	0.765010	−	0.644018i
$113$	10.2644	+	4.94308i	0.965595	+	0.465006i	0.849127	−	0.528188i	$-0.177129\pi$
$113$	10.2644	+	4.94308i	0.965595	+	0.465006i	0.116468	+	0.993194i	$0.462843\pi$
$114$	4.53512	−	2.10243i	0.424753	−	0.196911i
$115$	16.2765	+	20.4101i	1.51779	+	1.90325i
$116$	−9.07578	+	4.04643i	−0.842665	+	0.375701i
$117$		−	6.73092i		−	0.622274i
$118$	−5.76828	+	7.01899i	−0.531014	+	0.646150i
$119$	−2.60436	−	8.13743i	−0.238741	−	0.745957i
$120$	0.468278	−	10.6107i	0.0427477	−	0.968624i
$121$	5.60529	−	7.02882i	0.509572	−	0.638983i
$122$	−14.7561	−	3.59701i	−1.33596	−	0.325658i
$123$	−2.04561	+	4.24776i	−0.184447	+	0.383007i
$124$	−0.772420	+	2.97777i	−0.0693654	+	0.267411i
$125$	12.0397	+	9.60136i	1.07687	+	0.858772i
$126$	−3.69752	−	0.573033i	−0.329401	−	0.0510499i
$127$	2.81406	−	2.24414i	0.249707	−	0.199135i	−0.490635	−	0.871365i	$-0.663235\pi$
$127$	2.81406	−	2.24414i	0.249707	−	0.199135i	0.740342	+	0.672231i	$0.234664\pi$
$128$	−11.2539	−	1.16223i	−0.994710	−	0.102727i
$129$		−	1.14140i		−	0.100494i
$130$	22.6950	−	27.6158i	1.99048	−	2.42206i
$131$	0.723339	+	3.16916i	0.0631984	+	0.276890i	0.996647	−	0.0818207i	$-0.0260735\pi$
$131$	0.723339	+	3.16916i	0.0631984	+	0.276890i	−0.933449	+	0.358711i	$0.883216\pi$
$132$	0.0833545	−	2.83413i	0.00725508	−	0.246679i
$133$	3.32460	−	8.74090i	0.288279	−	0.757932i
$134$	−11.9968	+	9.28193i	−1.03637	+	0.801837i
$135$	−2.93587	+	2.34128i	−0.252679	+	0.201505i
$136$	−4.32205	+	8.04668i	−0.370613	+	0.689997i
$137$	−3.58061	−	15.6877i	−0.305912	−	1.34029i	−0.861046	−	0.508527i	$-0.830190\pi$
$137$	−3.58061	−	15.6877i	−0.305912	−	1.34029i	0.555134	−	0.831761i	$-0.312667\pi$
$138$	−9.55190	−	2.32841i	−0.813111	−	0.198207i
$139$	−3.58557	+	15.7094i	−0.304124	+	1.33245i	0.559715	+	0.828685i	$0.310911\pi$
$139$	−3.58557	+	15.7094i	−0.304124	+	1.33245i	−0.863839	+	0.503768i	$0.831947\pi$
$140$	−13.2381	−	14.8181i	−1.11883	−	1.25236i
$141$	−0.753272	−	3.30030i	−0.0634370	−	0.277936i
$142$	0.152683	−	10.3849i	0.0128128	−	0.871484i
$143$	5.94951	−	7.46045i	0.497523	−	0.623874i
$144$	2.30585	+	3.26849i	0.192154	+	0.272374i
$145$	8.09508	+	16.8096i	0.672259	+	1.39596i
$146$	−9.76664	+	2.07860i	−0.808293	+	0.172027i
$147$	−5.69922	+	4.06435i	−0.470064	+	0.335222i
$148$	18.9432	−	8.44581i	1.55712	−	0.694241i
$149$	0.140849	−	0.0678292i	0.0115388	−	0.00555678i	−0.428105	−	0.903729i	$-0.640819\pi$
$149$	0.140849	−	0.0678292i	0.0115388	−	0.00555678i	0.439644	+	0.898172i	$0.355105\pi$
$150$	−12.8692	−	0.189208i	−1.05077	−	0.0154487i
$151$	−11.8155	−	9.42258i	−0.961535	−	0.766798i	0.0109080	−	0.999941i	$-0.496528\pi$
$151$	−11.8155	−	9.42258i	−0.961535	−	0.766798i	−0.972443	+	0.233142i	$0.925099\pi$
$152$	−9.18993	+	3.93640i	−0.745402	+	0.319284i
$153$	3.14837	−	0.718596i	0.254531	−	0.0580950i
$154$	−3.59176	−	3.90340i	−0.289432	−	0.314545i
$155$	5.63115	+	1.28527i	0.452305	+	0.103236i
$156$	−0.395755	+	13.4560i	−0.0316858	+	1.07734i
$157$	−4.58884	+	1.04737i	−0.366229	+	0.0835894i	−0.401675	−	0.915782i	$-0.631572\pi$
$157$	−4.58884	+	1.04737i	−0.366229	+	0.0835894i	0.0354462	+	0.999372i	$0.488715\pi$
$158$	4.68388	−	3.62391i	0.372629	−	0.288303i
$159$	−5.08062	−	6.37090i	−0.402919	−	0.505245i
$160$	−1.56003	+	21.1848i	−0.123331	+	1.67480i
$161$	−15.8311	+	9.36409i	−1.24767	+	0.737994i
$162$	0.334927	−	1.37398i	0.0263143	−	0.107950i
$163$	−12.1981	+	2.78414i	−0.955428	+	0.218070i	−0.671691	−	0.740832i	$-0.734432\pi$
$163$	−12.1981	+	2.78414i	−0.955428	+	0.218070i	−0.283738	+	0.958902i	$0.591574\pi$
$164$	4.33921	−	8.37157i	0.338835	−	0.653710i
$165$	−5.32354			−0.414437
$166$	1.97876	+	9.29752i	0.153582	+	0.721627i
$167$	2.95078	+	3.70016i	0.228338	+	0.286327i	0.882781	−	0.469784i	$-0.155668\pi$
$167$	2.95078	+	3.70016i	0.228338	+	0.286327i	−0.654443	+	0.756111i	$0.727097\pi$
$168$	7.35815	+	1.36297i	0.567693	+	0.105156i
$169$	−20.1420	+	25.2573i	−1.54939	+	1.94287i
$170$	15.3401	+	7.66725i	1.17654	+	0.588051i
$171$	3.18461	+	1.53363i	0.243533	+	0.117279i
$172$	−0.0671102	+	2.28181i	−0.00511711	+	0.173986i
$173$	10.1954	+	8.13055i	0.775141	+	0.618154i	0.929060	−	0.369929i	$-0.120618\pi$
$173$	10.1954	+	8.13055i	0.775141	+	0.618154i	−0.153919	+	0.988083i	$0.549189\pi$
$174$	−6.28515	−	3.14142i	−0.476476	−	0.238150i
$175$	−17.4773	+	16.5629i	−1.32116	+	1.25204i
$176$	−0.333274	+	5.66091i	−0.0251215	+	0.426707i
$177$	−6.42415			−0.482868
$178$	6.17378	−	1.31395i	0.462745	−	0.0984845i
$179$	19.6126	−	15.6405i	1.46591	−	1.16903i	0.515971	−	0.856606i	$-0.327431\pi$
$179$	19.6126	−	15.6405i	1.46591	−	1.16903i	0.949943	−	0.312422i	$-0.101140\pi$
$180$	6.00686	−	4.50791i	0.447725	−	0.336000i
$181$	−2.25530	+	4.68318i	−0.167635	+	0.348098i	−0.967815	−	0.251662i	$-0.919023\pi$
$181$	−2.25530	+	4.68318i	−0.167635	+	0.348098i	0.800180	+	0.599760i	$0.204737\pi$
$182$	17.0532	+	18.5328i	1.26406	+	1.37374i
$183$	−4.65977	−	9.67612i	−0.344460	−	0.715279i
$184$	18.9586	+	5.21642i	1.39765	+	0.384560i
$185$	−16.8963	−	35.0854i	−1.24224	−	2.57953i
$186$	−1.97353	+	0.914907i	−0.144706	+	0.0670843i
$187$	4.12478	+	1.98639i	0.301634	+	0.145259i
$188$	1.31185	+	6.64204i	0.0956763	+	0.484421i
$189$	−1.34697	−	2.27721i	−0.0979774	−	0.165643i
$190$	7.89489	+	17.0299i	0.572755	+	1.23548i
$191$	−16.8377	−	3.84309i	−1.21833	−	0.278076i	−0.435430	−	0.900223i	$-0.643404\pi$
$191$	−16.8377	−	3.84309i	−1.21833	−	0.278076i	−0.782901	+	0.622147i	$0.786261\pi$
$192$	−4.41753	−	6.66974i	−0.318808	−	0.481347i
$193$	3.26527	−	14.3061i	0.235039	−	1.02977i	−0.710355	−	0.703843i	$-0.751466\pi$
$193$	3.26527	−	14.3061i	0.235039	−	1.02977i	0.945394	−	0.325930i	$-0.105677\pi$
$194$	−9.72596	+	7.52497i	−0.698283	+	0.540261i
$195$	25.2754			1.81001
$196$	11.6325	−	7.79008i	0.830891	−	0.556435i
$197$	1.36992			0.0976026			0.0488013	−	0.998809i	$-0.484460\pi$
$197$	1.36992			0.0976026			0.0488013	+	0.998809i	$0.484460\pi$
$198$	1.58570	−	1.22685i	0.112691	−	0.0871888i
$199$	−2.18437	+	9.57035i	−0.154846	+	0.678424i	0.836590	+	0.547830i	$0.184546\pi$
$199$	−2.18437	+	9.57035i	−0.154846	+	0.678424i	−0.991436	+	0.130595i	$0.958311\pi$
$200$	25.7162	+	1.13492i	1.81841	+	0.0802509i
$201$	−10.4567	−	2.38668i	−0.737559	−	0.168343i
$202$	−0.910045	−	1.96304i	−0.0640306	−	0.138119i
$203$	−12.5198	+	4.00692i	−0.878718	+	0.281231i
$204$	−6.33628	+	1.25146i	−0.443628	+	0.0876195i
$205$	−15.9508	−	7.68152i	−1.11405	−	0.536500i
$206$	24.7794	−	11.4875i	1.72647	−	0.800372i
$207$	−3.01635	−	6.26352i	−0.209651	−	0.435345i
$208$	1.58234	−	26.8771i	0.109715	−	1.86359i
$209$	2.17419	+	4.51475i	0.150392	+	0.312292i
$210$	2.15181	−	13.8846i	0.148489	−	0.958129i
$211$	−1.51503	+	3.14598i	−0.104299	+	0.216578i	−0.946587	−	0.322449i	$-0.895494\pi$
$211$	−1.51503	+	3.14598i	−0.104299	+	0.216578i	0.842288	+	0.539028i	$0.181208\pi$
$212$	9.78226	+	13.0350i	0.671849	+	0.895248i
$213$	5.74181	−	4.57894i	0.393422	−	0.313744i
$214$	−12.8030	+	2.72483i	−0.875198	+	0.186266i
$215$	4.28608			0.292308
$216$	−0.750350	+	2.72708i	−0.0510548	+	0.185554i
$217$	−1.44675	+	3.80374i	−0.0982120	+	0.258215i
$218$	12.5786	+	6.28700i	0.851932	+	0.425809i
$219$	−5.52030	−	4.40229i	−0.373027	−	0.297479i
$220$	10.6425	+	0.313006i	0.717516	+	0.0211029i
$221$	−19.5839	−	9.43109i	−1.31735	−	0.634404i
$222$	13.1185	+	6.55685i	0.880459	+	0.440067i
$223$	9.88787	−	12.3990i	0.662141	−	0.830298i	−0.331434	−	0.943478i	$-0.607532\pi$
$223$	9.88787	−	12.3990i	0.662141	−	0.830298i	0.993574	+	0.113180i	$0.0361038\pi$
$224$	−14.6298	−	3.15740i	−0.977494	−	0.210963i
$225$	−5.67432	−	7.11538i	−0.378288	−	0.474358i
$226$	−3.35387	−	15.7587i	−0.223096	−	1.04825i
$227$	17.3089			1.14883			0.574415	−	0.818565i	$-0.305230\pi$
$227$	17.3089			1.14883			0.574415	+	0.818565i	$0.305230\pi$
$228$	−6.27630	−	3.25317i	−0.415658	−	0.215447i
$229$	−4.91454	+	1.12171i	−0.324762	+	0.0741248i	−0.381794	−	0.924248i	$-0.624694\pi$
$229$	−4.91454	+	1.12171i	−0.324762	+	0.0741248i	0.0570317	+	0.998372i	$0.481836\pi$
$230$	8.74344	−	35.8685i	0.576525	−	2.36510i
$231$	0.519885	−	3.71462i	0.0342059	−	0.244404i
$232$	12.3802	+	6.64967i	0.812798	+	0.436572i
$233$	−8.91741	−	11.1821i	−0.584199	−	0.732562i	0.398624	−	0.917114i	$-0.369488\pi$
$233$	−8.91741	−	11.1821i	−0.584199	−	0.732562i	−0.982823	+	0.184552i	$0.940916\pi$
$234$	−7.52867	+	5.82493i	−0.492164	+	0.380787i
$235$	12.3930	−	2.82863i	0.808432	−	0.184519i
$236$	12.8427	+	0.377718i	0.835991	+	0.0245873i
$237$	4.08258	+	0.931822i	0.265192	+	0.0605283i
$238$	−6.84807	+	9.95515i	−0.443894	+	0.645296i
$239$	10.9648	−	2.50265i	0.709256	−	0.161883i	0.147350	−	0.989084i	$-0.452926\pi$
$239$	10.9648	−	2.50265i	0.709256	−	0.161883i	0.561906	+	0.827201i	$0.310068\pi$
$240$	−12.2736	+	8.65874i	−0.792256	+	0.558920i
$241$	−0.859274	−	0.685248i	−0.0553507	−	0.0441407i	0.595424	−	0.803412i	$-0.296984\pi$
$241$	−0.859274	−	0.685248i	−0.0553507	−	0.0441407i	−0.650774	+	0.759271i	$0.725556\pi$
$242$	−12.7127	−	0.186906i	−0.817202	−	0.0120148i
$243$	0.900969	−	0.433884i	0.0577972	−	0.0278337i
$244$	8.74660	+	19.6179i	0.559943	+	1.25590i
$245$	−15.2621	−	21.4012i	−0.975060	−	1.36727i
$246$	6.52147	−	1.38794i	0.415794	−	0.0884921i
$247$	−10.3227	−	21.4354i	−0.656819	−	1.36390i
$248$	3.99914	−	1.71299i	0.253946	−	0.108775i
$249$	−4.19084	+	5.25515i	−0.265584	+	0.333031i
$250$	0.320153	−	21.7757i	0.0202483	−	1.37721i
$251$	0.387241	+	1.69661i	0.0244424	+	0.107089i	0.985678	−	0.168640i	$-0.0539377\pi$
$251$	0.387241	+	1.69661i	0.0244424	+	0.107089i	−0.961235	+	0.275730i	$0.911081\pi$
$252$	2.55888	+	4.63165i	0.161194	+	0.291766i
$253$	2.19309	−	9.60857i	0.137879	−	0.604085i
$254$	−4.94539	−	1.20551i	−0.310301	−	0.0756402i
$255$	2.69841	+	11.8225i	0.168981	+	0.740355i
$256$	8.43909	+	13.5934i	0.527443	+	0.849590i
$257$	4.68793	−	3.73850i	0.292425	−	0.233201i	−0.466277	−	0.884639i	$-0.654405\pi$
$257$	4.68793	−	3.73850i	0.292425	−	0.233201i	0.758702	+	0.651437i	$0.225834\pi$
$258$	−1.27668	+	0.987763i	−0.0794823	+	0.0614954i
$259$	26.1317	−	8.36336i	1.62374	−	0.519674i
$260$	−50.5290	−	1.48611i	−3.13367	−	0.0921644i
$261$	−1.10559	−	4.84391i	−0.0684344	−	0.299831i
$262$	2.91879	−	3.55165i	0.180323	−	0.219422i
$263$			13.9615i			0.860901i	0.902614	+	0.430451i	$0.141645\pi$
$263$			13.9615i			0.860901i	−0.902614	+	0.430451i	$0.858355\pi$
$264$	−3.24216	+	2.35942i	−0.199541	+	0.145212i
$265$	23.9235	−	19.0783i	1.46961	−	1.17197i
$266$	−12.6540	+	3.84573i	−0.775865	+	0.235797i
$267$	3.48955	+	2.78282i	0.213557	+	0.170306i
$268$	20.7640	+	5.38611i	1.26837	+	0.329009i
$269$	1.37349	−	2.85208i	0.0837432	−	0.173895i	−0.854892	−	0.518806i	$-0.826377\pi$
$269$	1.37349	−	2.85208i	0.0837432	−	0.173895i	0.938635	+	0.344911i	$0.112091\pi$
$270$	5.15946	+	1.25769i	0.313995	+	0.0765406i
$271$	−7.77652	+	9.75145i	−0.472390	+	0.592358i	−0.959755	−	0.280840i	$-0.909387\pi$
$271$	−7.77652	+	9.75145i	−0.472390	+	0.592358i	0.487364	+	0.873199i	$0.337958\pi$
$272$	12.7407	−	2.12928i	0.772516	−	0.129107i
$273$	−2.46834	+	17.6365i	−0.149391	+	1.06741i
$274$	−14.4483	+	17.5811i	−0.872854	+	1.06211i
$275$		−	12.9021i		−	0.778029i
$276$	5.66183	+	12.6990i	0.340802	+	0.764389i
$277$	2.55771	+	3.20726i	0.153678	+	0.192706i	0.852710	−	0.522384i	$-0.174957\pi$
$277$	2.55771	+	3.20726i	0.153678	+	0.192706i	−0.699033	+	0.715090i	$0.746386\pi$
$278$	20.6742	−	9.58435i	1.23996	−	0.574831i
$279$	−1.38583	−	0.667382i	−0.0829677	−	0.0399551i
$280$	−5.11812	+	27.6307i	−0.305866	+	1.65125i
$281$	−21.9608	+	10.5758i	−1.31007	+	0.630898i	−0.952941	−	0.303156i	$-0.901960\pi$
$281$	−21.9608	+	10.5758i	−1.31007	+	0.630898i	−0.357132	+	0.934054i	$0.616245\pi$
$282$	−3.03957	+	3.69863i	−0.181004	+	0.220250i
$283$	−22.4677	+	10.8199i	−1.33557	+	0.643174i	−0.959050	−	0.283236i	$-0.908592\pi$
$283$	−22.4677	+	10.8199i	−1.33557	+	0.643174i	−0.376515	+	0.926410i	$0.622878\pi$
$284$	−11.7479	+	8.81632i	−0.697109	+	0.523153i
$285$	−5.75895	+	11.9586i	−0.341131	+	0.708365i
$286$	−13.4934	−	0.198384i	−0.797879	−	0.0117307i
$287$	6.91766	−	10.3799i	0.408337	−	0.612705i
$288$	1.66039	−	5.40769i	0.0978396	−	0.318651i
$289$	−1.46226	+	6.40660i	−0.0860156	+	0.376859i
$290$	11.7964	−	23.6015i	0.692708	−	1.38593i
$291$	−8.47737	−	1.93490i	−0.496952	−	0.113426i
$292$	10.7770	+	9.12536i	0.630676	+	0.534021i
$293$			5.03450i			0.294119i	0.989128	+	0.147059i	$0.0469808\pi$
$293$			5.03450i			0.294119i	−0.989128	+	0.147059i	$0.953019\pi$
$294$	9.47814	+	2.85741i	0.552777	+	0.166647i
$295$		−	24.1234i		−	1.40452i
$296$	−25.8402	−	13.8794i	−1.50193	−	0.806722i
$297$	1.38213	+	0.315463i	0.0801995	+	0.0183050i
$298$	−0.197759	−	0.0988429i	−0.0114558	−	0.00572581i
$299$	−10.4125	+	45.6201i	−0.602169	+	2.63828i
$300$	10.9254	+	14.5582i	0.630777	+	0.840520i
$301$	−0.418569	+	2.99070i	−0.0241259	+	0.172381i
$302$	−0.314191	+	21.3702i	−0.0180797	+	1.22972i
$303$	0.663835	−	1.37847i	0.0381363	−	0.0791909i
$304$	12.3559	+	6.87256i	0.708659	+	0.394168i
$305$	36.3350	−	17.4980i	2.08053	−	1.00193i
$306$	−3.52836	−	2.89965i	−0.201703	−	0.165762i
$307$	26.4379	−	12.7318i	1.50889	−	0.726644i	0.517271	−	0.855822i	$-0.326948\pi$
$307$	26.4379	−	12.7318i	1.50889	−	0.726644i	0.991621	+	0.129178i	$0.0412337\pi$
$308$	−1.25773	+	7.39545i	−0.0716657	+	0.421395i
$309$	17.4004	+	8.37959i	0.989875	+	0.476698i
$310$	−3.43558	−	7.41083i	−0.195128	−	0.420907i
$311$	−8.69888	−	10.9080i	−0.493268	−	0.618538i	0.471428	−	0.881905i	$-0.343739\pi$
$311$	−8.69888	−	10.9080i	−0.493268	−	0.618538i	−0.964696	+	0.263366i	$0.915167\pi$
$312$	15.3933	−	11.2022i	0.871475	−	0.634197i
$313$		−	29.1224i		−	1.64609i	−0.567973	−	0.823047i	$-0.692272\pi$
$313$		−	29.1224i		−	1.64609i	0.567973	−	0.823047i	$-0.307728\pi$
$314$	5.14268	+	4.22631i	0.290218	+	0.238504i
$315$	8.55119	−	5.05802i	0.481805	−	0.284987i
$316$	−8.10684	−	2.10288i	−0.456045	−	0.118296i
$317$	−2.98173	+	3.73897i	−0.167471	+	0.210001i	−0.858484	−	0.512841i	$-0.828593\pi$
$317$	−2.98173	+	3.73897i	−0.167471	+	0.210001i	0.691013	+	0.722842i	$0.257165\pi$
$318$	−2.72921	+	11.1961i	−0.153047	+	0.627848i
$319$	3.05615	−	6.34616i	0.171112	−	0.355317i
$320$	25.0456	−	16.5884i	1.40009	−	0.927317i
$321$	−7.23654	−	5.77095i	−0.403904	−	0.322103i
$322$	24.1741	+	9.60376i	1.34717	+	0.535197i
$323$	8.92429	−	7.11688i	0.496561	−	0.395994i
$324$	−1.82667	+	0.814419i	−0.101482	+	0.0452455i
$325$			61.2575i			3.39795i
$326$	13.6703	+	11.2344i	0.757129	+	0.622217i
$327$	2.21265	+	9.69424i	0.122360	+	0.536093i
$328$	−13.1189	+	2.39125i	−0.724371	+	0.132035i
$329$	0.763460	+	8.92373i	0.0420909	+	0.491981i
$330$	4.60698	+	5.95449i	0.253606	+	0.327784i
$331$	−6.31473	+	5.03583i	−0.347089	+	0.276794i	−0.781480	−	0.623930i	$-0.785535\pi$
$331$	−6.31473	+	5.03583i	−0.347089	+	0.276794i	0.434391	+	0.900724i	$0.356964\pi$
$332$	8.68704	−	10.2593i	0.476763	−	0.563055i
$333$	2.30762	+	10.1103i	0.126457	+	0.554044i
$334$	1.58510	−	6.50262i	0.0867331	−	0.355808i
$335$	8.96225	−	39.2662i	0.489660	−	2.14534i
$336$	−4.84321	−	9.40974i	−0.264219	−	0.513344i
$337$	−3.47941	−	15.2443i	−0.189536	−	0.830410i	−0.976861	−	0.213873i	$-0.931392\pi$
$337$	−3.47941	−	15.2443i	−0.189536	−	0.830410i	0.787326	−	0.616537i	$-0.211465\pi$
$338$	45.6817	+	0.671626i	2.48475	+	0.0365317i
$339$	7.10320	−	8.90713i	0.385793	−	0.483769i
$340$	−4.69937	−	23.7935i	−0.254859	−	1.29038i
$341$	−0.946132	−	1.96466i	−0.0512359	−	0.106392i
$342$	−1.04056	−	4.88925i	−0.0562672	−	0.264380i
$343$	16.4236	−	8.55946i	0.886793	−	0.462167i
$344$	2.61032	−	1.89961i	0.140739	−	0.102420i
$345$	23.5203	−	11.3268i	1.26629	−	0.609812i
$346$	0.271109	−	18.4399i	0.0145749	−	0.991335i
$347$	2.52638	+	2.01472i	0.135623	+	0.108156i	0.688952	−	0.724807i	$-0.258071\pi$
$347$	2.52638	+	2.01472i	0.135623	+	0.108156i	−0.553329	+	0.832963i	$0.686643\pi$
$348$	1.92542	+	9.74865i	0.103213	+	0.522582i
$349$	5.14131	−	1.17347i	0.275208	−	0.0628145i	−0.0826892	−	0.996575i	$-0.526351\pi$
$349$	5.14131	−	1.17347i	0.275208	−	0.0628145i	0.357897	+	0.933761i	$0.383494\pi$
$350$	33.6508	+	5.21512i	1.79871	+	0.278760i
$351$	−6.56216	−	1.49777i	−0.350262	−	0.0799451i
$352$	6.62025	−	4.52616i	0.352860	−	0.241245i
$353$	−16.1141	+	3.67793i	−0.857665	+	0.195756i	−0.628671	−	0.777671i	$-0.716401\pi$
$353$	−16.1141	+	3.67793i	−0.857665	+	0.195756i	−0.228994	+	0.973428i	$0.573544\pi$
$354$	5.55944	+	7.18553i	0.295481	+	0.381907i
$355$	17.1945	+	21.5612i	0.912587	+	1.14435i
$356$	−6.81246	−	5.76841i	−0.361059	−	0.305725i
$357$	−8.51293	+	0.728315i	−0.450552	+	0.0385465i
$358$	−34.4669	−	8.40179i	−1.82163	−	0.444049i
$359$	0.155928	−	0.0355895i	0.00822956	−	0.00187834i	−0.218404	−	0.975858i	$-0.570085\pi$
$359$	0.155928	−	0.0355895i	0.00822956	−	0.00187834i	0.226634	+	0.973980i	$0.427228\pi$
$360$	−10.2405	−	2.81765i	−0.539722	−	0.148503i
$361$	−6.50625			−0.342434
$362$	7.18996	−	1.53022i	0.377896	−	0.0804264i
$363$	−5.60529	−	7.02882i	−0.294202	−	0.368917i
$364$	5.97151	−	35.1125i	0.312992	−	1.84040i
$365$	16.5311	−	20.7294i	0.865279	−	1.08503i
$366$	−6.79037	+	13.5857i	−0.354938	+	0.710138i
$367$	−4.17056	−	2.00844i	−0.217701	−	0.104839i	0.321855	−	0.946789i	$-0.395694\pi$
$367$	−4.17056	−	2.00844i	−0.217701	−	0.104839i	−0.539556	+	0.841950i	$0.681408\pi$
$368$	−10.5721	−	25.7199i	−0.551109	−	1.34074i
$369$	3.68607	+	2.93954i	0.191889	+	0.153026i
$370$	−24.6218	+	49.2617i	−1.28002	+	2.56099i
$371$	10.9760	+	18.5563i	0.569846	+	0.963393i
$372$	2.73123	+	1.41567i	0.141608	+	0.0733990i
$373$	−28.7493			−1.48858			−0.744292	−	0.667854i	$-0.767213\pi$
$373$	−28.7493			−1.48858			−0.744292	+	0.667854i	$0.767213\pi$
$374$	−1.34776	−	6.33267i	−0.0696911	−	0.327454i
$375$	12.0397	−	9.60136i	0.621729	−	0.495812i
$376$	6.29398	−	7.21534i	0.324587	−	0.372103i
$377$	−14.5101	+	30.1306i	−0.747311	+	1.55181i
$378$	−1.38144	+	3.47730i	−0.0710537	+	0.178853i
$379$	2.75821	+	5.72749i	0.141680	+	0.294201i	0.959719	−	0.280961i	$-0.0906531\pi$
$379$	2.75821	+	5.72749i	0.141680	+	0.294201i	−0.818039	+	0.575162i	$0.804939\pi$
$380$	12.2160	−	23.5682i	0.626670	−	1.20902i
$381$	−1.56168	−	3.24287i	−0.0800075	−	0.166137i
$382$	10.2727	+	22.1591i	0.525598	+	1.13376i
$383$	31.1234	+	14.9883i	1.59033	+	0.765864i	0.999172	−	0.0406894i	$-0.0129554\pi$
$383$	31.1234	+	14.9883i	1.59033	+	0.765864i	0.591161	+	0.806553i	$0.298670\pi$
$384$	−3.63731	+	10.7131i	−0.185615	+	0.546699i
$385$	13.9488	+	1.95223i	0.710898	+	0.0994948i
$386$	−18.8274	+	8.72818i	−0.958288	+	0.444253i
$387$	−1.11278	−	0.253985i	−0.0565658	−	0.0129108i
$388$	16.8337	+	4.36658i	0.854599	+	0.221679i
$389$	1.10567	−	4.84424i	0.0560595	−	0.245613i	−0.939133	−	0.343555i	$-0.888369\pi$
$389$	1.10567	−	4.84424i	0.0560595	−	0.245613i	0.995192	+	0.0979421i	$0.0312260\pi$
$390$	−21.8733	−	28.2710i	−1.10760	−	1.43156i
$391$	−22.4503			−1.13536
$392$	−18.7801	−	6.26963i	−0.948538	−	0.316664i
$393$	3.25066			0.163974
$394$	−1.18552	−	1.53228i	−0.0597258	−	0.0771951i
$395$	−3.49910	+	15.3306i	−0.176059	+	0.771364i
$396$	−2.74452	−	0.711917i	−0.137917	−	0.0357752i
$397$	−7.51615	−	1.71551i	−0.377225	−	0.0860991i	0.0297046	−	0.999559i	$-0.490543\pi$
$397$	−7.51615	−	1.71551i	−0.377225	−	0.0860991i	−0.406929	+	0.913460i	$0.633400\pi$
$398$	12.5950	−	5.83891i	0.631329	−	0.292678i
$399$	−7.78195	−	5.18628i	−0.389585	−	0.259639i
$400$	−20.9853	−	29.7463i	−1.04927	−	1.48731i
$401$	23.9564	+	11.5368i	1.19633	+	0.576121i	0.922627	−	0.385695i	$-0.126038\pi$
$401$	23.9564	+	11.5368i	1.19633	+	0.576121i	0.273700	+	0.961815i	$0.411752\pi$
$402$	6.37967	+	13.7615i	0.318189	+	0.686359i
$403$	4.49210	+	9.32793i	0.223767	+	0.464657i
$404$	−1.40815	+	2.71671i	−0.0700579	+	0.135162i
$405$	1.62928	+	3.38324i	0.0809598	+	0.168115i
$406$	15.3164	+	10.5361i	0.760142	+	0.522896i
$407$	−6.37888	+	13.2459i	−0.316189	+	0.656574i
$408$	6.88318	+	6.00424i	0.340768	+	0.297254i
$409$	17.4388	−	13.9070i	0.862292	−	0.687655i	−0.0889716	−	0.996034i	$-0.528358\pi$
$409$	17.4388	−	13.9070i	0.862292	−	0.687655i	0.951263	+	0.308379i	$0.0997866\pi$
$410$	5.21190	+	24.4889i	0.257397	+	1.20942i
$411$	−16.0911			−0.793715
$412$	−34.2931	−	17.7750i	−1.68950	−	0.875713i
$413$	16.8326	+	2.35584i	0.828280	+	0.115923i
$414$	−4.39553	+	8.79429i	−0.216028	+	0.432216i
$415$	−19.7337	−	15.7371i	−0.968689	−	0.772504i
$416$	−31.4320	+	21.4896i	−1.54108	+	1.05361i
$417$	14.5177	+	6.99134i	0.710933	+	0.342367i
$418$	3.16830	−	6.33893i	0.154966	−	0.310047i
$419$	15.6433	−	19.6161i	0.764226	−	0.958309i	−0.235683	−	0.971830i	$-0.575733\pi$
$419$	15.6433	−	19.6161i	0.764226	−	0.958309i	0.999909	+	0.0135213i	$0.00430411\pi$
$420$	−17.3924	+	9.60888i	−0.848661	+	0.468865i
$421$	11.2481	+	14.1046i	0.548198	+	0.687418i	0.976327	−	0.216299i	$-0.0693986\pi$
$421$	11.2481	+	14.1046i	0.548198	+	0.687418i	−0.428129	+	0.903717i	$0.640827\pi$
$422$	4.82995	−	1.02794i	0.235118	−	0.0500395i
$423$	−3.38518			−0.164593
$424$	6.11436	−	22.2221i	0.296940	−	1.07920i
$425$	−28.6531	+	6.53988i	−1.38988	+	0.317231i
$426$	−10.0906	−	2.45972i	−0.488891	−	0.119174i
$427$	8.66121	+	27.0623i	0.419145	+	1.30964i
$428$	14.1275	+	11.9624i	0.682879	+	0.578224i
$429$	−5.94951	−	7.46045i	−0.287245	−	0.360194i
$430$	−3.70917	−	4.79406i	−0.178872	−	0.231190i
$431$	−30.4210	+	6.94340i	−1.46533	+	0.334452i	−0.879467	−	0.475959i	$-0.842101\pi$
$431$	−30.4210	+	6.94340i	−1.46533	+	0.334452i	−0.585862	+	0.810411i	$0.699244\pi$
$432$	3.69965	−	1.52073i	0.177999	−	0.0731662i
$433$	−21.1617	−	4.83002i	−1.01697	−	0.232116i	−0.318625	−	0.947881i	$-0.603221\pi$
$433$	−21.1617	−	4.83002i	−1.01697	−	0.232116i	−0.698342	+	0.715765i	$0.746078\pi$
$434$	5.50657	−	1.67353i	0.264324	−	0.0803319i
$435$	18.1895	−	4.15163i	0.872118	−	0.199055i
$436$	−3.85339	−	19.5102i	−0.184544	−	0.934369i
$437$	−19.2118	−	15.3209i	−0.919026	−	0.732899i
$438$	−0.146792	+	9.98430i	−0.00701401	+	0.477068i
$439$	5.95980	−	2.87009i	0.284446	−	0.136982i	−0.286221	−	0.958164i	$-0.592399\pi$
$439$	5.95980	−	2.87009i	0.284446	−	0.136982i	0.570667	+	0.821182i	$0.306685\pi$
$440$	−8.85988	−	12.1747i	−0.422378	−	0.580406i
$441$	2.69425	+	6.46073i	0.128298	+	0.307654i
$442$	6.39898	+	30.0666i	0.304368	+	1.43012i
$443$	−11.9816	−	24.8801i	−0.569263	−	1.18209i	−0.964641	−	0.263568i	$-0.915101\pi$
$443$	−11.9816	−	24.8801i	−0.569263	−	1.18209i	0.395378	−	0.918519i	$-0.370614\pi$
$444$	−4.01879	−	20.3476i	−0.190723	−	0.965656i
$445$	−10.4498	+	13.1037i	−0.495369	+	0.621173i
$446$	−22.4255	−	0.329706i	−1.06188	−	0.0156120i
$447$	−0.0347868	−	0.152411i	−0.00164536	−	0.00720878i
$448$	9.12898	+	19.0961i	0.431304	+	0.902207i
$449$	−0.290611	+	1.27325i	−0.0137148	+	0.0600885i	−0.981322	−	0.192371i	$-0.938382\pi$
$449$	−0.290611	+	1.27325i	−0.0137148	+	0.0600885i	0.967607	+	0.252459i	$0.0812394\pi$
$450$	−3.04814	+	12.5045i	−0.143691	+	0.589467i
$451$	1.48730	+	6.51628i	0.0700341	+	0.306840i
$452$	−14.7240	+	17.3889i	−0.692557	+	0.817905i
$453$	−11.8155	+	9.42258i	−0.555142	+	0.442711i
$454$	−14.9791	−	19.3603i	−0.703002	−	0.908624i
$455$	−66.2269	−	9.26890i	−3.10477	−	0.434533i
$456$	1.79276	+	9.83545i	0.0839535	+	0.460587i
$457$	0.119706	+	0.524465i	0.00559960	+	0.0245334i	0.977651	−	0.210237i	$-0.0674234\pi$
$457$	0.119706	+	0.524465i	0.00559960	+	0.0245334i	−0.972051	+	0.234770i	$0.924566\pi$
$458$	5.50769	+	4.52628i	0.257358	+	0.211499i
$459$		−	3.22934i		−	0.150733i
$460$	−47.6862	+	21.2608i	−2.22338	+	0.991291i
$461$	21.6883	−	17.2959i	1.01013	−	0.805549i	0.0291303	−	0.999576i	$-0.490726\pi$
$461$	21.6883	−	17.2959i	1.01013	−	0.805549i	0.980996	+	0.194027i	$0.0621548\pi$
$462$	−4.60478	+	2.63312i	−0.214234	+	0.122504i
$463$	−27.5419	−	21.9639i	−1.27998	−	1.02075i	−0.998120	−	0.0612934i	$-0.980477\pi$
$463$	−27.5419	−	21.9639i	−1.27998	−	1.02075i	−0.281859	−	0.959456i	$-0.590951\pi$
$464$	−3.27599	−	19.6021i	−0.152084	−	0.910003i
$465$	2.50610	−	5.20397i	0.116218	−	0.241328i
$466$	−4.79026	+	19.6512i	−0.221905	+	0.910326i
$467$	4.47839	−	5.61572i	0.207235	−	0.259865i	−0.667342	−	0.744752i	$-0.732568\pi$
$467$	4.47839	−	5.61572i	0.207235	−	0.259865i	0.874577	+	0.484887i	$0.161139\pi$
$468$	13.0306	+	3.38008i	0.602339	+	0.156244i
$469$	26.5236	+	10.0882i	1.22474	+	0.465832i
$470$	−13.8888	−	11.4139i	−0.640641	−	0.526486i
$471$			4.70685i			0.216880i
$472$	−10.6916	−	14.6917i	−0.492121	−	0.676242i
$473$	−1.00889	−	1.26511i	−0.0463888	−	0.0581697i
$474$	−2.49079	−	5.37284i	−0.114406	−	0.246783i
$475$	−28.9828	−	13.9574i	−1.32982	−	0.640409i
$476$	17.0613	−	0.955468i	0.782005	−	0.0437938i
$477$	−7.34171	+	3.53558i	−0.336154	+	0.161883i
$478$	−12.2882	−	10.0986i	−0.562049	−	0.461899i
$479$	−4.69725	+	2.26208i	−0.214623	+	0.103357i	−0.538107	−	0.842877i	$-0.680860\pi$
$479$	−4.69725	+	2.26208i	−0.214623	+	0.103357i	0.323484	+	0.946234i	$0.395146\pi$
$480$	20.3065	+	6.23497i	0.926861	+	0.284586i
$481$	30.2860	−	62.8895i	1.38092	−	2.86751i
$482$	−0.0228493	+	1.55413i	−0.00104076	+	0.0707886i
$483$	5.60656	+	17.5179i	0.255107	+	0.797093i
$484$	10.7925	+	14.3811i	0.490567	+	0.653688i
$485$	7.26580	−	31.8335i	0.329923	−	1.44549i
$486$	−1.26500	−	0.632269i	−0.0573818	−	0.0286803i
$487$	−18.8245	−	4.29656i	−0.853018	−	0.194696i	−0.226412	−	0.974032i	$-0.572700\pi$
$487$	−18.8245	−	4.29656i	−0.853018	−	0.194696i	−0.626607	+	0.779336i	$0.715557\pi$
$488$	14.3737	−	26.7605i	0.650665	−	1.21139i
$489$			12.5118i			0.565803i
$490$	−10.7299	+	35.5915i	−0.484728	+	1.60786i
$491$		−	10.2043i		−	0.460515i	−0.973130	−	0.230258i	$-0.926043\pi$
$491$		−	10.2043i		−	0.460515i	0.973130	−	0.230258i	$-0.0739569\pi$
$492$	−7.19611	−	6.09327i	−0.324426	−	0.274706i
$493$	−15.6427	−	3.57033i	−0.704510	−	0.160800i
$494$	−15.0426	+	30.0963i	−0.676799	+	1.35410i
$495$	−1.18460	+	5.19007i	−0.0532438	+	0.233276i
$496$	−5.37686	−	2.99070i	−0.241428	−	0.134286i
$497$	−16.7239	+	9.89219i	−0.750171	+	0.443725i
$498$	9.50473	+	0.139742i	0.425917	+	0.00626197i
$499$	2.27215	−	4.71817i	0.101715	−	0.211214i	−0.843900	−	0.536500i	$-0.819746\pi$
$499$	2.27215	−	4.71817i	0.101715	−	0.211214i	0.945616	+	0.325286i	$0.105460\pi$
$500$	−24.6336	+	18.4865i	−1.10165	+	0.826743i
$501$	4.26401	−	2.05344i	0.190502	−	0.0917408i
$502$	1.56258	−	1.90138i	0.0697412	−	0.0848628i
$503$	29.8848	−	14.3918i	1.33250	−	0.641697i	0.374167	−	0.927361i	$-0.377929\pi$
$503$	29.8848	−	14.3918i	1.33250	−	0.641697i	0.958330	+	0.285665i	$0.0922143\pi$
$504$	2.96614	−	6.87037i	0.132122	−	0.306031i
$505$	5.17631	+	2.49278i	0.230343	+	0.110927i
$506$	−12.6453	+	5.86222i	−0.562151	+	0.260607i
$507$	20.1420	+	25.2573i	0.894539	+	1.12172i
$508$	2.93135	+	6.57476i	0.130058	+	0.291708i
$509$			6.03886i			0.267668i	0.991004	+	0.133834i	$0.0427289\pi$
$509$			6.03886i			0.267668i	−0.991004	+	0.133834i	$0.957271\pi$
$510$	10.8885	−	13.2494i	0.482152	−	0.586694i
$511$	12.8500	+	13.5593i	0.568450	+	0.599830i
$512$	7.90136	−	21.2030i	0.349194	−	0.937050i
$513$	2.20382	−	2.76350i	0.0973010	−	0.122012i
$514$	−8.23851	−	2.00825i	−0.363385	−	0.0885801i
$515$	−31.4664	+	65.3406i	−1.38657	+	2.87925i
$516$	2.20966	+	0.573178i	0.0972751	+	0.0252327i
$517$	−3.75208	−	2.99218i	−0.165016	−	0.131596i
$518$	−31.9689	−	21.9911i	−1.40463	−	0.966235i
$519$	10.1954	−	8.13055i	0.447528	−	0.356892i
$520$	42.0654	+	57.8037i	1.84469	+	2.53486i
$521$			43.9841i			1.92698i	0.267748	+	0.963489i	$0.413721\pi$
$521$			43.9841i			1.92698i	−0.267748	+	0.963489i	$0.586279\pi$
$522$	−4.46124	+	5.42854i	−0.195263	+	0.237601i
$523$	−0.685742	−	3.00443i	−0.0299854	−	0.131375i	0.957720	−	0.287703i	$-0.0928915\pi$
$523$	−0.685742	−	3.00443i	−0.0299854	−	0.131375i	−0.987705	+	0.156328i	$0.950034\pi$
$524$	−6.49850	−	0.191127i	−0.283888	−	0.00834944i
$525$	12.2586	+	20.7247i	0.535010	+	0.904499i
$526$	15.6162	−	12.0822i	0.680898	−	0.526810i
$527$	−3.88354	+	3.09702i	−0.169170	+	0.134908i
$528$	5.44481	+	1.58459i	0.236955	+	0.0689603i
$529$	5.63648	+	24.6950i	0.245064	+	1.07370i
$530$	−42.0428	−	10.2485i	−1.82622	−	0.445167i
$531$	−1.42951	+	6.26308i	−0.0620353	+	0.271794i
$532$	15.2522	+	10.8256i	0.661269	+	0.469350i
$533$	−7.06147	−	30.9383i	−0.305866	−	1.34009i
$534$	0.0927918	−	6.31137i	0.00401550	−	0.273120i
$535$	21.6706	−	27.1740i	0.936901	−	1.17484i
$536$	−11.9447	−	27.8861i	−0.515933	−	1.20450i
$537$	−10.8842	−	22.6012i	−0.469687	−	0.975315i
$538$	−4.37873	+	0.931911i	−0.188780	+	0.0401775i
$539$	−2.72442	+	9.54244i	−0.117349	+	0.411022i
$540$	−3.05824	−	6.85936i	−0.131606	−	0.295180i
$541$	−29.0782	+	14.0033i	−1.25017	+	0.602049i	−0.937557	−	0.347832i	$-0.886918\pi$
$541$	−29.0782	+	14.0033i	−1.25017	+	0.602049i	−0.312611	+	0.949881i	$0.601204\pi$
$542$	17.6370	+	0.259305i	0.757573	+	0.0111381i
$543$	4.06391	+	3.24086i	0.174399	+	0.139079i
$544$	−13.4074	−	12.4080i	−0.574837	−	0.531989i
$545$	−36.4030	+	8.30875i	−1.55933	+	0.355908i
$546$	21.8628	−	12.5017i	0.935642	−	0.535022i
$547$	34.5333	+	7.88200i	1.47654	+	0.337010i	0.883601	−	0.468240i	$-0.155112\pi$
$547$	34.5333	+	7.88200i	1.47654	+	0.337010i	0.592935	+	0.805250i	$0.297969\pi$
$548$	32.1683	+	0.946102i	1.37416	+	0.0404155i
$549$	−10.4704	+	2.38980i	−0.446866	+	0.101994i
$550$	−14.4313	+	11.1655i	−0.615353	+	0.476098i
$551$	−10.9496	−	13.7304i	−0.466470	−	0.584935i
$552$	9.30433	−	17.3225i	0.396018	−	0.737296i
$553$	−10.3555	−	3.93872i	−0.440361	−	0.167491i
$554$	1.37395	−	5.63640i	0.0583736	−	0.239468i
$555$	−37.9655	+	8.66539i	−1.61155	+	0.367825i
$556$	−28.6117	−	14.8302i	−1.21341	−	0.628941i
$557$	−17.6714			−0.748760			−0.374380	−	0.927275i	$-0.622144\pi$
$557$	−17.6714			−0.748760			−0.374380	+	0.927275i	$0.622144\pi$
$558$	0.452818	+	2.12763i	0.0191693	+	0.0900699i
$559$	4.79006	+	6.00654i	0.202598	+	0.254050i
$560$	35.3347	−	18.1868i	1.49316	−	0.768534i
$561$	2.85444	−	3.57935i	0.120514	−	0.151120i
$562$	30.8341	+	15.4114i	1.30066	+	0.650089i
$563$	34.6850	+	16.7034i	1.46180	+	0.703964i	0.984598	−	0.174831i	$-0.0559381\pi$
$563$	34.6850	+	16.7034i	1.46180	+	0.703964i	0.477198	+	0.878796i	$0.341652\pi$
$564$	6.76742	+	0.199037i	0.284960	+	0.00838096i
$565$	33.4473	+	26.6733i	1.40714	+	1.12216i
$566$	31.5457	+	15.7671i	1.32597	+	0.662739i
$567$	−2.51984	+	0.806468i	−0.105823	+	0.0338685i
$568$	20.0278	+	5.51061i	0.840349	+	0.231220i
$569$	29.3971			1.23239			0.616195	−	0.787594i	$-0.288673\pi$
$569$	29.3971			1.23239			0.616195	+	0.787594i	$0.288673\pi$
$570$	18.3597	−	3.90744i	0.769003	−	0.163665i
$571$	−1.50015	+	1.19633i	−0.0627792	+	0.0500647i	−0.654377	−	0.756169i	$-0.727069\pi$
$571$	−1.50015	+	1.19633i	−0.0627792	+	0.0500647i	0.591597	+	0.806233i	$0.298497\pi$
$572$	11.4552	+	15.2643i	0.478967	+	0.638231i
$573$	−7.49346	+	15.5603i	−0.313044	+	0.650042i
$574$	−17.5966	+	1.24518i	−0.734469	+	0.0519729i
$575$	27.4516	+	57.0037i	1.14481	+	2.37722i
$576$	−7.48551	+	2.82262i	−0.311896	+	0.117609i
$577$	11.6520	+	24.1956i	0.485079	+	1.00728i	0.989596	+	0.143875i	$0.0459564\pi$
$577$	11.6520	+	24.1956i	0.485079	+	1.00728i	−0.504517	+	0.863402i	$0.668329\pi$
$578$	8.43135	−	3.90869i	0.350698	−	0.162580i
$579$	−13.2208	−	6.36680i	−0.549437	−	0.264595i
$580$	−36.6073	+	7.23019i	−1.52004	+	0.300217i
$581$	12.9080	−	12.2328i	0.535516	−	0.507500i
$582$	5.17207	+	11.1566i	0.214389	+	0.462455i
$583$	−11.2626	−	2.57061i	−0.466448	−	0.106464i
$584$	0.880501	−	19.9513i	0.0364354	−	0.825593i
$585$	5.62431	−	24.6417i	0.232536	−	1.01881i
$586$	5.63119	−	4.35685i	0.232622	−	0.179980i
$587$	16.8610			0.695929			0.347964	−	0.937508i	$-0.386873\pi$
$587$	16.8610			0.695929			0.347964	+	0.937508i	$0.386873\pi$
$588$	−5.00630	−	13.0743i	−0.206456	−	0.539174i
$589$	−5.43685			−0.224022
$590$	−26.9825	+	20.8764i	−1.11085	+	0.859466i
$591$	0.304835	−	1.33557i	0.0125392	−	0.0549380i
$592$	6.83774	+	40.9140i	0.281029	+	1.68155i
$593$	−20.5368	−	4.68738i	−0.843344	−	0.192488i	−0.221041	−	0.975264i	$-0.570946\pi$
$593$	−20.5368	−	4.68738i	−0.843344	−	0.192488i	−0.622303	+	0.782777i	$0.713803\pi$
$594$	−0.843244	−	1.81894i	−0.0345987	−	0.0746321i
$595$	−2.73491	−	31.9671i	−0.112120	−	1.31052i
$596$	0.0605822	+	0.306735i	0.00248155	+	0.0125644i
$597$	8.84434	+	4.25921i	0.361975	+	0.174318i
$598$	60.0379	−	27.8330i	2.45513	−	1.13817i
$599$	−20.0658	−	41.6670i	−0.819865	−	1.70247i	−0.705137	−	0.709071i	$-0.749115\pi$
$599$	−20.0658	−	41.6670i	−0.819865	−	1.70247i	−0.114728	−	0.993397i	$-0.536600\pi$
$600$	6.82886	−	24.8189i	0.278787	−	1.01323i
$601$	16.3098	+	33.8677i	0.665292	+	1.38149i	0.911104	+	0.412176i	$0.135231\pi$
$601$	16.3098	+	33.8677i	0.665292	+	1.38149i	−0.245812	+	0.969318i	$0.579055\pi$
$602$	3.70739	−	2.11997i	0.151102	−	0.0864036i
$603$	−4.65367	+	9.66345i	−0.189512	+	0.393526i
$604$	24.1749	−	18.1423i	0.983662	−	0.738199i
$605$	26.3940	−	21.0485i	1.07307	−	0.855745i
$606$	−2.11633	+	0.450411i	−0.0859699	+	0.0182967i
$607$	−39.2142			−1.59166			−0.795828	−	0.605523i	$-0.792964\pi$
$607$	−39.2142			−1.59166			−0.795828	+	0.605523i	$0.792964\pi$
$608$	−3.00567	−	19.7678i	−0.121896	−	0.801690i
$609$	1.12054	+	13.0975i	0.0454068	+	0.530739i
$610$	−51.0161	−	25.4986i	−2.06558	−	1.03241i
$611$	17.8143	+	14.2064i	0.720690	+	0.574731i
$612$	−0.189874	+	6.45589i	−0.00767521	+	0.260964i
$613$	27.5110	+	13.2486i	1.11116	+	0.535105i	0.897150	−	0.441727i	$-0.145634\pi$
$613$	27.5110	+	13.2486i	1.11116	+	0.535105i	0.214008	+	0.976832i	$0.431348\pi$
$614$	−37.1201	−	18.5532i	−1.49805	−	0.748747i
$615$	−11.0383	+	13.8416i	−0.445108	+	0.558148i
$616$	9.36039	−	4.99322i	0.377141	−	0.201183i
$617$	1.62130	+	2.03304i	0.0652709	+	0.0818471i	0.813395	−	0.581712i	$-0.197617\pi$
$617$	1.62130	+	2.03304i	0.0652709	+	0.0818471i	−0.748124	+	0.663559i	$0.769045\pi$
$618$	−5.68554	−	26.7144i	−0.228706	−	1.07461i
$619$	−4.54398			−0.182638			−0.0913189	−	0.995822i	$-0.529108\pi$
$619$	−4.54398			−0.182638			−0.0913189	+	0.995822i	$0.529108\pi$
$620$	−5.31601	+	10.2561i	−0.213496	+	0.411894i
$621$	−6.77769	+	1.54696i	−0.271979	+	0.0620775i
$622$	−4.67287	+	19.1697i	−0.187365	+	0.768634i
$623$	−8.12285	−	8.57126i	−0.325435	−	0.343400i
$624$	−25.8512	−	7.52339i	−1.03488	−	0.301177i
$625$	7.68263	+	9.63372i	0.307305	+	0.385349i
$626$	−32.5740	+	25.2025i	−1.30192	+	1.00729i
$627$	4.88536	−	1.11505i	0.195102	−	0.0445308i
$628$	0.276746	−	9.40962i	0.0110434	−	0.375485i
$629$	32.6498	+	7.45209i	1.30183	+	0.297134i
$630$	−13.0577	−	5.18747i	−0.520230	−	0.206674i
$631$	−16.8557	+	3.84720i	−0.671014	+	0.153155i	−0.544436	−	0.838802i	$-0.683256\pi$
$631$	−16.8557	+	3.84720i	−0.671014	+	0.153155i	−0.126578	+	0.991957i	$0.540399\pi$
$632$	4.66353	+	10.8875i	0.185505	+	0.433081i
$633$	2.72998	+	2.17709i	0.108507	+	0.0865315i
$634$	6.76249	+	0.0994244i	0.268573	+	0.00394865i
$635$	12.1774	−	5.86431i	0.483244	−	0.232718i
$636$	14.8850	−	6.63644i	0.590227	−	0.263152i
$637$	12.9351	−	45.3061i	0.512509	−	1.79509i
$638$	−9.74309	+	2.07359i	−0.385733	+	0.0820943i
$639$	−3.18646	−	6.61676i	−0.126055	−	0.261755i
$640$	−40.2289	−	13.6585i	−1.59019	−	0.539900i
$641$	−16.8934	+	21.1837i	−0.667250	+	0.836705i	−0.994111	−	0.108368i	$-0.965438\pi$
$641$	−16.8934	+	21.1837i	−0.667250	+	0.836705i	0.326861	+	0.945072i	$0.394009\pi$
$642$	−0.192429	+	13.0884i	−0.00759459	+	0.516557i
$643$	6.13035	+	26.8588i	0.241758	+	1.05921i	0.939416	+	0.342779i	$0.111368\pi$
$643$	6.13035	+	26.8588i	0.241758	+	1.05921i	−0.697659	+	0.716430i	$0.745775\pi$
$644$	−10.1783	−	35.3503i	−0.401080	−	1.39300i
$645$	0.953743	−	4.17862i	0.0375536	−	0.164533i
$646$	−15.6834	−	3.82305i	−0.617056	−	0.150416i
$647$	−8.10205	−	35.4974i	−0.318524	−	1.39555i	−0.840142	−	0.542367i	$-0.817528\pi$
$647$	−8.10205	−	35.4974i	−0.318524	−	1.39555i	0.521618	−	0.853179i	$-0.325329\pi$
$648$	2.49174	+	1.33837i	0.0978848	+	0.0525761i
$649$	−7.12042	+	5.67835i	−0.279501	+	0.222895i
$650$	68.5177	−	53.0121i	2.68749	−	2.07931i
$651$	3.38644	+	2.25689i	0.132725	+	0.0884545i
$652$	0.735650	−	25.0128i	0.0288103	−	0.979575i
$653$	−1.44640	−	6.33708i	−0.0566019	−	0.247989i	0.938710	−	0.344708i	$-0.112022\pi$
$653$	−1.44640	−	6.33708i	−0.0566019	−	0.247989i	−0.995312	+	0.0967194i	$0.969165\pi$
$654$	8.92838	−	10.8643i	0.349127	−	0.424827i
$655$			12.2066i			0.476951i
$656$	14.0277	+	12.6044i	0.547691	+	0.492118i
$657$	−5.52030	+	4.40229i	−0.215367	+	0.171750i
$658$	9.32067	−	8.57653i	0.363358	−	0.334348i
$659$	3.08414	+	2.45952i	0.120141	+	0.0958093i	0.681717	−	0.731616i	$-0.261233\pi$
$659$	3.08414	+	2.45952i	0.120141	+	0.0958093i	−0.561576	+	0.827425i	$0.689805\pi$
$660$	2.67333	−	10.3060i	0.104059	−	0.401161i
$661$	−6.36270	+	13.2123i	−0.247480	+	0.513898i	−0.987292	−	0.158916i	$-0.949200\pi$
$661$	−6.36270	+	13.2123i	−0.247480	+	0.513898i	0.739812	+	0.672814i	$0.234915\pi$
$662$	11.0974	+	2.70515i	0.431314	+	0.105139i
$663$	−13.5524	+	16.9942i	−0.526333	+	0.660001i
$664$	−18.9930	−	0.838208i	−0.737072	−	0.0325288i
$665$	19.4751	−	29.2221i	0.755212	−	1.13319i
$666$	9.31161	−	11.3306i	0.360818	−	0.439052i
$667$			34.5408i			1.33743i
$668$	−8.64506	+	3.85439i	−0.334487	+	0.149131i
$669$	−9.88787	−	12.3990i	−0.382287	−	0.479373i
$670$	−51.6759	+	23.9564i	−1.99641	+	0.925517i
$671$	−13.7176	−	6.60605i	−0.529562	−	0.255024i
$672$	−6.33367	+	13.5604i	−0.244327	+	0.523104i
$673$	−15.9528	+	7.68244i	−0.614934	+	0.296136i	−0.715304	−	0.698814i	$-0.753712\pi$
$673$	−15.9528	+	7.68244i	−0.614934	+	0.296136i	0.100370	+	0.994950i	$0.467997\pi$
$674$	−14.0400	+	17.0842i	−0.540800	+	0.658058i
$675$	−8.19963	+	3.94874i	−0.315604	+	0.151987i
$676$	−38.7816	−	51.6770i	−1.49160	−	1.98758i
$677$	4.80980	−	9.98766i	0.184856	−	0.383857i	−0.787861	−	0.615853i	$-0.788811\pi$
$677$	4.80980	−	9.98766i	0.184856	−	0.383857i	0.972717	+	0.231996i	$0.0745257\pi$
$678$	−16.1099	−	0.236853i	−0.618697	−	0.00909628i
$679$	21.5030	+	8.17865i	0.825208	+	0.313868i
$680$	−22.5466	+	25.8472i	−0.864624	+	0.991193i
$681$	3.85158	−	16.8749i	0.147593	−	0.646647i
$682$	−1.37873	+	2.75848i	−0.0527944	+	0.105628i
$683$	28.9164	+	6.59998i	1.10646	+	0.252541i	0.736452	−	0.676489i	$-0.236500\pi$
$683$	28.9164	+	6.59998i	1.10646	+	0.252541i	0.370003	+	0.929031i	$0.379357\pi$
$684$	−4.56822	+	5.39504i	−0.174670	+	0.206284i
$685$		−	60.4240i		−	2.30868i
$686$	−23.7869	−	10.9628i	−0.908188	−	0.418562i
$687$			5.04093i			0.192323i
$688$	−4.38372	−	1.27578i	−0.167128	−	0.0486387i
$689$	53.4730	+	12.2049i	2.03716	+	0.464968i
$690$	−33.0236	−	16.5057i	−1.25719	−	0.628362i
$691$	8.83237	−	38.6971i	0.335999	−	1.47211i	−0.471304	−	0.881971i	$-0.656216\pi$
$691$	8.83237	−	38.6971i	0.335999	−	1.47211i	0.807303	−	0.590138i	$-0.200926\pi$
$692$	−20.8600	+	15.6546i	−0.792979	+	0.595099i
$693$	−3.50580	−	1.33343i	−0.133174	−	0.0506528i
$694$	0.0671799	−	4.56934i	0.00255012	−	0.173450i
$695$	−26.2533	+	54.5155i	−0.995844	+	2.06789i
$696$	9.23780	−	10.5901i	0.350158	−	0.401416i
$697$	13.7175	−	6.60598i	0.519586	−	0.250219i
$698$	−5.76183	−	4.73514i	−0.218089	−	0.179228i
$699$	−12.8860	+	6.20558i	−0.487394	+	0.234717i
$700$	−23.2881	−	42.1522i	−0.880207	−	1.59320i
$701$	41.8392	+	20.1487i	1.58025	+	0.761006i	0.998623	−	0.0524524i	$-0.0167038\pi$
$701$	41.8392	+	20.1487i	1.58025	+	0.761006i	0.581623	+	0.813459i	$0.302418\pi$
$702$	4.00360	+	8.63608i	0.151106	+	0.325948i
$703$	22.8544	+	28.6585i	0.861969	+	1.08088i
$704$	−10.7918	−	3.48794i	−0.406729	−	0.131457i
$705$		−	12.7117i		−	0.478752i
$706$	18.0589	+	14.8410i	0.679656	+	0.558549i
$707$	−2.24490	+	3.36844i	−0.0844280	+	0.126683i
$708$	3.22603	−	12.4367i	0.121241	−	0.467400i
$709$	2.48010	−	3.10995i	0.0931421	−	0.116796i	−0.733076	−	0.680146i	$-0.761916\pi$
$709$	2.48010	−	3.10995i	0.0931421	−	0.116796i	0.826218	+	0.563350i	$0.190488\pi$
$710$	9.23654	−	37.8913i	0.346641	−	1.42204i
$711$	1.81692	−	3.77287i	0.0681398	−	0.141494i
$712$	−0.556591	+	12.6118i	−0.0208591	+	0.472649i
$713$	8.36033	+	6.66714i	0.313097	+	0.249686i
$714$	8.18171	+	8.89160i	0.306193	+	0.332760i
$715$	28.0149	−	22.3411i	1.04770	−	0.835510i
$716$	20.4301	+	45.8228i	0.763507	+	1.71248i
$717$		−	11.2468i		−	0.420020i
$718$	−0.174747	−	0.143609i	−0.00652151	−	0.00535945i
$719$	−0.473107	−	2.07282i	−0.0176439	−	0.0773031i	0.965339	−	0.260998i	$-0.0840514\pi$
$719$	−0.473107	−	2.07282i	−0.0176439	−	0.0773031i	−0.982983	+	0.183694i	$0.941194\pi$
$720$	5.71052	+	13.8926i	0.212819	+	0.517747i
$721$	−42.5198	−	28.3373i	−1.58352	−	1.05534i
$722$	5.63049	+	7.27736i	0.209545	+	0.270835i
$723$	−0.859274	+	0.685248i	−0.0319568	+	0.0254847i
$724$	−7.93376	−	6.71786i	−0.294856	−	0.249667i
$725$	10.0619	+	44.0840i	0.373689	+	1.63724i
$726$	−3.01106	+	12.3524i	−0.111751	+	0.458439i
$727$	−2.90052	+	12.7080i	−0.107574	+	0.471315i	0.892231	+	0.451580i	$0.149139\pi$
$727$	−2.90052	+	12.7080i	−0.107574	+	0.471315i	−0.999805	+	0.0197348i	$0.993718\pi$
$728$	−44.4418	+	23.7071i	−1.64712	+	0.878643i
$729$	−0.222521	−	0.974928i	−0.00824152	−	0.0361084i
$730$	−37.4922	−	0.551223i	−1.38765	−	0.0204017i
$731$	−2.29816	+	2.88180i	−0.0850005	+	0.106587i
$732$	21.0723	−	4.16192i	0.778854	−	0.153829i
$733$	12.4288	+	25.8086i	0.459066	+	0.953261i	0.994104	+	0.108433i	$0.0345833\pi$
$733$	12.4288	+	25.8086i	0.459066	+	0.953261i	−0.535037	+	0.844828i	$0.679702\pi$
$734$	1.36272	+	6.40295i	0.0502989	+	0.236337i
$735$	−24.2608	+	10.1172i	−0.894873	+	0.373179i
$736$	−19.6191	+	34.0830i	−0.723170	+	1.25632i
$737$	−13.6997	+	6.59740i	−0.504633	+	0.243018i
$738$	0.0980176	−	6.66681i	0.00360808	−	0.245409i
$739$	−10.8949	−	8.68840i	−0.400776	−	0.319608i	0.402275	−	0.915519i	$-0.368220\pi$
$739$	−10.8949	−	8.68840i	−0.400776	−	0.319608i	−0.803050	+	0.595911i	$0.796791\pi$
$740$	76.4078	−	15.0910i	2.80881	−	0.554758i
$741$	−23.1950	+	5.29410i	−0.852088	+	0.194483i
$742$	11.2569	−	28.3354i	0.413255	−	1.04023i
$743$	8.90295	+	2.03204i	0.326618	+	0.0745484i	0.382686	−	0.923879i	$-0.374999\pi$
$743$	8.90295	+	2.03204i	0.326618	+	0.0745484i	−0.0560680	+	0.998427i	$0.517856\pi$
$744$	−0.780146	−	4.28005i	−0.0286015	−	0.156914i
$745$	0.572321	−	0.130628i	0.0209682	−	0.00478586i
$746$	24.8796	+	32.1567i	0.910908	+	1.17734i
$747$	4.19084	+	5.25515i	0.153335	+	0.192276i
$748$	−5.91686	+	6.98778i	−0.216342	+	0.255498i
$749$	16.8450	+	17.7749i	0.615502	+	0.649479i
$750$	−21.1585	−	5.15767i	−0.772598	−	0.188331i
$751$	22.8682	−	5.21951i	0.834472	−	0.190463i	0.216123	−	0.976366i	$-0.430659\pi$
$751$	22.8682	−	5.21951i	0.834472	−	0.190463i	0.618349	+	0.785903i	$0.287802\pi$
$752$	−13.5173	−	0.795803i	−0.492925	−	0.0290199i
$753$	1.74024			0.0634180
$754$	46.2588	−	9.84511i	1.68464	−	0.358538i
$755$	−35.3829	−	44.3687i	−1.28771	−	1.61474i
$756$	5.08493	−	1.46408i	0.184937	−	0.0532481i
$757$	2.02461	−	2.53878i	0.0735857	−	0.0922735i	−0.743676	−	0.668540i	$-0.766920\pi$
$757$	2.02461	−	2.53878i	0.0735857	−	0.0922735i	0.817262	+	0.576267i	$0.195491\pi$
$758$	4.01936	−	8.04168i	0.145990	−	0.292087i
$759$	−8.87965	−	4.27621i	−0.322311	−	0.155217i
$760$	−36.9333	+	6.73201i	−1.33971	+	0.244196i
$761$	2.30418	+	1.83752i	0.0835263	+	0.0666100i	0.664363	−	0.747410i	$-0.268703\pi$
$761$	2.30418	+	1.83752i	0.0835263	+	0.0666100i	−0.580836	+	0.814020i	$0.697274\pi$
$762$	−2.27573	+	4.55315i	−0.0824412	+	0.164943i
$763$	−2.24257	−	26.2124i	−0.0811866	−	0.948953i
$764$	15.8953	−	30.6666i	0.575073	−	1.10948i
$765$	12.1266			0.438436
$766$	−10.1695	−	47.7830i	−0.367439	−	1.72647i
$767$	33.8067	−	26.9600i	1.22069	−	0.973468i
$768$	15.1305	−	5.20268i	0.545975	−	0.187736i
$769$	9.07022	−	18.8345i	0.327081	−	0.679190i	−0.670978	−	0.741478i	$-0.734125\pi$
$769$	9.07022	−	18.8345i	0.327081	−	0.679190i	0.998058	+	0.0622876i	$0.0198396\pi$
$770$	−9.88768	−	17.2915i	−0.356327	−	0.623142i
$771$	−2.60160	−	5.40229i	−0.0936945	−	0.194559i
$772$	26.0558	+	13.5054i	0.937769	+	0.486071i
$773$	13.7131	+	28.4756i	0.493227	+	1.02420i	0.987896	+	0.155115i	$0.0495749\pi$
$773$	13.7131	+	28.4756i	0.493227	+	1.02420i	−0.494669	+	0.869081i	$0.664711\pi$
$774$	0.678911	+	1.46446i	0.0244029	+	0.0526391i
$775$	12.6123	+	6.07378i	0.453049	+	0.218177i
$776$	−9.68371	−	22.6076i	−0.347625	−	0.811565i
$777$	−2.33883	−	27.3375i	−0.0839051	−	0.980728i
$778$	−6.37522	+	2.95549i	−0.228563	+	0.105959i
$779$	16.2468	+	3.70824i	0.582104	+	0.132861i
$780$	−12.6926	+	48.9314i	−0.454468	+	1.75202i
$781$	2.31677	−	10.1505i	0.0829007	−	0.363212i
$782$	19.4285	+	25.1111i	0.694761	+	0.897972i
$783$	−4.96848			−0.177559
$784$	9.23955	+	26.4316i	0.329984	+	0.943987i
$785$	−17.6748			−0.630839
$786$	−2.81311	−	3.63592i	−0.100340	−	0.129689i
$787$	7.37030	−	32.2914i	0.262723	−	1.15106i	−0.655561	−	0.755142i	$-0.727568\pi$
$787$	7.37030	−	32.2914i	0.262723	−	1.15106i	0.918284	−	0.395922i	$-0.129575\pi$
$788$	−0.687934	+	2.65206i	−0.0245066	+	0.0944759i
$789$	13.6114	+	3.10672i	0.484580	+	0.110602i
$790$	20.1756	−	9.35323i	0.717817	−	0.332773i
$791$	−21.8783	+	20.7337i	−0.777902	+	0.737206i
$792$	1.57881	+	3.68589i	0.0561006	+	0.130973i
$793$	65.1292	+	31.3646i	2.31281	+	1.11379i
$794$	4.58563	+	9.89156i	0.162738	+	0.351038i
$795$	−13.2765	−	27.5690i	−0.470870	−	0.977771i
$796$	−17.4306	−	9.03475i	−0.617811	−	0.320228i
$797$	1.29111	+	2.68103i	0.0457336	+	0.0949668i	0.922584	−	0.385797i	$-0.126074\pi$
$797$	1.29111	+	2.68103i	0.0457336	+	0.0949668i	−0.876850	+	0.480764i	$0.840359\pi$
$798$	0.933533	+	13.1925i	0.0330467	+	0.467008i
$799$	−4.74317	+	9.84929i	−0.167801	+	0.348443i
$800$	−15.1111	+	49.2149i	−0.534258	+	1.74001i
$801$	3.48955	−	2.78282i	0.123297	−	0.0983261i
$802$	−7.82770	−	36.7797i	−0.276406	−	1.29873i
$803$	−10.0098			−0.353239
$804$	9.87150	−	19.0449i	0.348141	−	0.671663i
$805$	−65.7818	+	21.0533i	−2.31850	+	0.742030i
$806$	6.54602	−	13.0969i	0.230574	−	0.461318i
$807$	−2.47494	−	1.97370i	−0.0871222	−	0.0694776i
$808$	4.25730	−	0.776000i	0.149771	−	0.0272996i
$809$	−39.6549	−	19.0968i	−1.39419	−	0.671408i	−0.422219	−	0.906494i	$-0.638749\pi$
$809$	−39.6549	−	19.0968i	−1.39419	−	0.671408i	−0.971975	+	0.235086i	$0.924463\pi$
$810$	2.37424	−	4.75024i	0.0834225	−	0.166906i
$811$	−2.33423	+	2.92703i	−0.0819658	+	0.102782i	−0.821124	−	0.570750i	$-0.806652\pi$
$811$	−2.33423	+	2.92703i	−0.0819658	+	0.102782i	0.739158	+	0.673532i	$0.235224\pi$
$812$	−1.47003	−	26.2496i	−0.0515880	−	0.921181i
$813$	7.77652	+	9.75145i	0.272735	+	0.341998i
$814$	20.3360	−	4.32806i	0.712778	−	0.151698i
$815$	−46.9832			−1.64575
$816$	0.759168	−	12.8950i	0.0265762	−	0.451417i
$817$	−3.93329	+	0.897747i	−0.137608	+	0.0314082i
$818$	−30.6467	−	7.47055i	−1.07154	−	0.261202i
$819$	16.6450	+	6.33093i	0.581624	+	0.221221i
$820$	22.8809	−	27.0222i	0.799037	−	0.943658i
$821$	−11.2426	−	14.0978i	−0.392369	−	0.492015i	0.545935	−	0.837828i	$-0.316175\pi$
$821$	−11.2426	−	14.0978i	−0.392369	−	0.492015i	−0.938304	+	0.345813i	$0.887603\pi$
$822$	13.9252	+	17.9982i	0.485697	+	0.627760i
$823$	28.0884	−	6.41099i	0.979100	−	0.223473i	0.297117	−	0.954841i	$-0.403975\pi$
$823$	28.0884	−	6.41099i	0.979100	−	0.223473i	0.681983	+	0.731368i	$0.261118\pi$
$824$	9.79545	+	53.7400i	0.341241	+	1.87212i
$825$	−12.5787	−	2.87100i	−0.437933	−	0.0999553i
$826$	−11.9319	−	20.8664i	−0.415163	−	0.726034i
$827$	1.72502	−	0.393724i	0.0599847	−	0.0136911i	−0.192423	−	0.981312i	$-0.561635\pi$
$827$	1.72502	−	0.393724i	0.0599847	−	0.0136911i	0.252408	+	0.967621i	$0.418778\pi$
$828$	13.6405	−	2.69408i	0.474039	−	0.0936259i
$829$	26.1226	+	20.8321i	0.907277	+	0.723529i	0.961443	−	0.275003i	$-0.0886788\pi$
$829$	26.1226	+	20.8321i	0.907277	+	0.723529i	−0.0541668	+	0.998532i	$0.517250\pi$
$830$	−0.524746	+	35.6914i	−0.0182142	+	1.23887i
$831$	3.69599	−	1.77990i	0.128213	−	0.0617439i
$832$	51.2377	+	16.5602i	1.77635	+	0.574123i
$833$	22.5728	+	1.21349i	0.782101	+	0.0420450i
$834$	−4.74361	−	22.2886i	−0.164258	−	0.771790i
$835$	7.71090	+	16.0118i	0.266847	+	0.554113i
$836$	−9.83205	+	1.94190i	−0.340049	+	0.0671618i
$837$	−0.959026	+	1.20258i	−0.0331488	+	0.0415673i
$838$	−35.4787	−	0.521619i	−1.22559	−	0.0180190i
$839$	−2.56580	−	11.2415i	−0.0885813	−	0.388100i	0.911130	−	0.412119i	$-0.135211\pi$
$839$	−2.56580	−	11.2415i	−0.0885813	−	0.388100i	−0.999712	+	0.0240186i	$0.992354\pi$
$840$	25.7991	+	11.1382i	0.890152	+	0.384305i
$841$	0.959990	−	4.20599i	0.0331031	−	0.145034i
$842$	6.04225	−	24.7873i	0.208230	−	0.854228i
$843$	5.42387	+	23.7635i	0.186808	+	0.818460i
$844$	−5.32960	−	4.51281i	−0.183452	−	0.155337i
$845$	−94.8441	+	75.6357i	−3.26274	+	2.60195i
$846$	2.92952	+	3.78639i	0.100719	+	0.130179i
$847$	12.1095	+	20.4726i	0.416087	+	0.703445i
$848$	−30.1472	+	12.3920i	−1.03526	+	0.425542i
$849$	5.54906	+	24.3120i	0.190443	+	0.834387i
$850$	32.1113	+	26.3894i	1.10141	+	0.905150i
$851$		−	72.0946i		−	2.47137i
$852$	5.98113	+	13.4152i	0.204910	+	0.459596i
$853$	−12.6800	+	10.1120i	−0.434156	+	0.346228i	−0.816053	−	0.577977i	$-0.803842\pi$
$853$	−12.6800	+	10.1120i	−0.434156	+	0.346228i	0.381897	+	0.924205i	$0.375271\pi$
$854$	22.7743	−	33.1074i	0.779322	−	1.13291i
$855$	10.3773	+	8.27560i	0.354895	+	0.283019i
$856$	1.15424	−	26.1541i	0.0394513	−	0.893929i
$857$	15.3575	−	31.8901i	0.524601	−	1.08935i	−0.455388	−	0.890293i	$-0.650499\pi$
$857$	15.3575	−	31.8901i	0.524601	−	1.08935i	0.979989	−	0.199052i	$-0.0637864\pi$
$858$	−3.19596	+	13.1109i	−0.109108	+	0.447599i
$859$	0.425156	−	0.533129i	0.0145061	−	0.0181901i	−0.774526	−	0.632543i	$-0.782011\pi$
$859$	0.425156	−	0.533129i	0.0145061	−	0.0181901i	0.789032	+	0.614353i	$0.210583\pi$
$860$	−2.15235	+	8.29755i	−0.0733945	+	0.282944i
$861$	−8.58030	−	9.05396i	−0.292416	−	0.308558i
$862$	34.0926	+	28.0177i	1.16120	+	0.954287i
$863$		−	33.6359i		−	1.14498i	−0.819912	−	0.572490i	$-0.805978\pi$
$863$		−	33.6359i		−	1.14498i	0.819912	−	0.572490i	$-0.194022\pi$
$864$	−4.90263	−	2.82209i	−0.166791	−	0.0960094i
$865$	30.5312	+	38.2849i	1.03809	+	1.30172i
$866$	12.9108	+	27.8497i	0.438728	+	0.946371i
$867$	5.92059	+	2.85121i	0.201074	+	0.0968320i
$868$	−6.63725	−	4.71094i	−0.225283	−	0.159900i
$869$	5.34871	−	2.57580i	0.181443	−	0.0873781i
$870$	−20.3848	−	16.7525i	−0.691110	−	0.567962i
$871$	65.0439	−	31.3235i	2.20393	−	1.06136i
$872$	−18.4878	+	21.1942i	−0.626077	+	0.717726i
$873$	−3.77279	+	7.83427i	−0.127689	+	0.265150i
$874$	−0.510869	+	34.7475i	−0.0172804	+	1.17535i
$875$	−35.0676	+	20.7425i	−1.18550	+	0.701223i
$876$	11.2947	−	8.47621i	0.381612	−	0.286385i
$877$	2.68293	−	11.7547i	0.0905962	−	0.396928i	−0.909216	−	0.416326i	$-0.863318\pi$
$877$	2.68293	−	11.7547i	0.0905962	−	0.396928i	0.999812	+	0.0193975i	$0.00617480\pi$
$878$	−8.36785	−	4.18238i	−0.282401	−	0.141149i
$879$	4.90827	+	1.12028i	0.165552	+	0.0377862i
$880$	−5.95031	+	20.4459i	−0.200585	+	0.689232i
$881$		−	19.6994i		−	0.663689i	−0.943334	−	0.331845i	$-0.892329\pi$
$881$		−	19.6994i		−	0.663689i	0.943334	−	0.331845i	$-0.107671\pi$
$882$	4.89485	−	8.60467i	0.164818	−	0.289734i
$883$		−	24.1337i		−	0.812165i	−0.913836	−	0.406083i	$-0.866895\pi$
$883$		−	24.1337i		−	0.812165i	0.913836	−	0.406083i	$-0.133105\pi$
$884$	28.0924	−	33.1769i	0.944849	−	1.11586i
$885$	−23.5186	−	5.36797i	−0.790569	−	0.180442i
$886$	−17.4600	+	34.9328i	−0.586579	+	1.17359i
$887$	4.87293	−	21.3497i	0.163617	−	0.716852i	−0.824842	−	0.565363i	$-0.808736\pi$
$887$	4.87293	−	21.3497i	0.163617	−	0.716852i	0.988459	−	0.151489i	$-0.0484069\pi$
$888$	−19.2814	+	22.1039i	−0.647040	+	0.741759i
$889$	2.90273	+	9.06971i	0.0973545	+	0.304188i
$890$	23.6999	+	0.348444i	0.794424	+	0.0116799i
$891$	0.615107	−	1.27728i	0.0206069	−	0.0427906i
$892$	19.0382	+	25.3686i	0.637445	+	0.849405i
$893$	−10.7805	+	5.19160i	−0.360754	+	0.173730i
$894$	−0.140370	+	0.170806i	−0.00469468	+	0.00571260i
$895$	84.8702	−	40.8713i	2.83690	−	1.36618i
$896$	13.4592	−	26.7367i	0.449640	−	0.893210i
$897$	42.1593	+	20.3028i	1.40766	+	0.677892i
$898$	1.67565	−	0.776815i	0.0559172	−	0.0259227i
$899$	4.76491	+	5.97501i	0.158919	+	0.199278i
$900$	16.6244	−	7.41195i	0.554145	−	0.247065i
$901$			26.3149i			0.876676i
$902$	6.00148	−	7.30275i	0.199827	−	0.243155i
$903$	2.82258	+	1.07357i	0.0939296	+	0.0357261i
$904$	32.1919	+	1.42071i	1.07069	+	0.0472520i
$905$	−12.1698	+	15.2605i	−0.404538	+	0.507275i
$906$	20.7645	+	5.06163i	0.689854	+	0.168161i
$907$	14.0375	−	29.1492i	0.466109	−	0.967885i	−0.526909	−	0.849921i	$-0.676649\pi$
$907$	14.0375	−	29.1492i	0.466109	−	0.967885i	0.993018	−	0.117963i	$-0.0376364\pi$
$908$	−8.69202	+	33.5087i	−0.288455	+	1.11203i
$909$	−1.19619	−	0.953930i	−0.0396751	−	0.0316398i
$910$	46.9452	+	82.0974i	1.55622	+	2.72150i
$911$	−23.6041	+	18.8236i	−0.782039	+	0.623655i	−0.930930	−	0.365199i	$-0.881001\pi$
$911$	−23.6041	+	18.8236i	−0.782039	+	0.623655i	0.148891	+	0.988854i	$0.452430\pi$
$912$	9.44969	−	10.5168i	0.312911	−	0.348246i
$913$			9.52903i			0.315365i
$914$	0.483031	−	0.587764i	0.0159773	−	0.0194415i
$915$	−8.97400	−	39.3176i	−0.296671	−	1.29980i
$916$	0.296389	−	10.0775i	0.00979298	−	0.332970i
$917$	−8.51741	−	1.19207i	−0.281270	−	0.0393656i
$918$	−3.61208	+	2.79467i	−0.119216	+	0.0922377i
$919$	35.5468	−	28.3477i	1.17258	−	0.935103i	0.173817	−	0.984778i	$-0.444390\pi$
$919$	35.5468	−	28.3477i	1.17258	−	0.935103i	0.998765	+	0.0496750i	$0.0158185\pi$
$920$	65.0482	+	34.9388i	2.14457	+	1.15190i
$921$	−6.52963	−	28.6082i	−0.215159	−	0.942671i
$922$	−38.1148	−	9.29101i	−1.25524	−	0.305983i
$923$	−10.9997	+	48.1929i	−0.362060	+	1.58629i
$924$	6.93016	+	2.87184i	0.227986	+	0.0944765i
$925$	−21.0014	−	92.0133i	−0.690523	−	3.02538i
$926$	−0.732376	+	49.8136i	−0.0240674	+	1.63698i
$927$	12.0415	−	15.0995i	0.395493	−	0.495933i
$928$	−19.0903	+	20.6279i	−0.626669	+	0.677143i
$929$	−10.4689	−	21.7390i	−0.343475	−	0.713232i	0.655650	−	0.755065i	$-0.272395\pi$
$929$	−10.4689	−	21.7390i	−0.343475	−	0.713232i	−0.999125	+	0.0418325i	$0.986680\pi$
$930$	−7.98951	+	1.70038i	−0.261986	+	0.0557578i
$931$	18.4885	+	16.4429i	0.605936	+	0.538895i
$932$	26.1258	−	11.6481i	0.855778	−	0.381548i
$933$	−12.5702	+	6.05351i	−0.411531	+	0.198183i
$934$	−10.1569	−	0.149330i	−0.332344	−	0.00488622i
$935$	13.4409	+	10.7187i	0.439564	+	0.350540i
$936$	−7.49596	−	17.5001i	−0.245013	−	0.572008i
$937$	−38.7503	+	8.84450i	−1.26592	+	0.288937i	−0.802205	−	0.597049i	$-0.796340\pi$
$937$	−38.7503	+	8.84450i	−1.26592	+	0.288937i	−0.463712	+	0.885986i	$0.653483\pi$
$938$	−11.6696	−	38.3975i	−0.381025	−	1.25372i
$939$	−28.3922	−	6.48034i	−0.926545	−	0.211478i
$940$	−0.747406	+	25.4125i	−0.0243777	+	0.828864i
$941$	−3.50221	+	0.799357i	−0.114169	+	0.0260583i	−0.279224	−	0.960226i	$-0.590077\pi$
$941$	−3.50221	+	0.799357i	−0.114169	+	0.0260583i	0.165055	+	0.986284i	$0.447220\pi$
$942$	5.26470	−	4.07330i	0.171533	−	0.132715i
$943$	−20.4356	−	25.6255i	−0.665476	−	0.834481i
$944$	−7.18050	+	24.6730i	−0.233705	+	0.803036i
$945$	−3.02838	−	9.46231i	−0.0985133	−	0.307809i
$946$	−0.541956	+	2.22328i	−0.0176205	+	0.0722852i
$947$	17.5750	−	4.01138i	0.571111	−	0.130352i	0.0727937	−	0.997347i	$-0.476809\pi$
$947$	17.5750	−	4.01138i	0.571111	−	0.130352i	0.498318	+	0.866995i	$0.333951\pi$
$948$	−3.85410	+	7.43565i	−0.125175	+	0.241499i
$949$	47.5252			1.54273
$950$	9.47007	+	44.4966i	0.307250	+	1.44366i
$951$	2.98173	+	3.73897i	0.0966892	+	0.121244i
$952$	−15.8336	−	18.2566i	−0.513168	−	0.591699i
$953$	−3.80357	+	4.76952i	−0.123210	+	0.154500i	−0.839611	−	0.543189i	$-0.817217\pi$
$953$	−3.80357	+	4.76952i	−0.123210	+	0.154500i	0.716401	+	0.697689i	$0.245788\pi$
$954$	10.3081	+	5.15216i	0.333738	+	0.166807i
$955$	−58.4309	−	28.1388i	−1.89078	−	0.910551i
$956$	−0.661274	+	22.4839i	−0.0213871	+	0.727181i
$957$	−5.50699	−	4.39168i	−0.178016	−	0.141963i
$958$	6.59517	+	3.29637i	0.213080	+	0.106501i
$959$	42.1621	+	5.90087i	1.36149	+	0.190549i
$960$	−10.5993	−	28.1090i	−0.342090	−	0.907213i
$961$	−28.6341			−0.923680
$962$	−96.5525	+	20.5490i	−3.11298	+	0.662526i
$963$	−7.23654	+	5.77095i	−0.233194	+	0.185966i
$964$	1.75810	−	1.31938i	0.0566245	−	0.0424944i
$965$	23.9081	−	49.6456i	0.769628	−	1.59815i
$966$	14.7422	−	21.4310i	0.474323	−	0.689532i
$967$	7.09510	+	14.7331i	0.228163	+	0.473785i	0.983349	−	0.181725i	$-0.0581680\pi$
$967$	7.09510	+	14.7331i	0.228163	+	0.473785i	−0.755187	+	0.655510i	$0.772454\pi$
$968$	6.74579	−	24.5170i	0.216818	−	0.788006i
$969$	−4.95261	−	10.2842i	−0.159101	−	0.330376i
$970$	−41.8942	+	19.4217i	−1.34514	+	0.623595i
$971$	−10.7835	−	5.19308i	−0.346061	−	0.166654i	0.252777	−	0.967525i	$-0.418656\pi$
$971$	−10.7835	−	5.19308i	−0.346061	−	0.166654i	−0.598837	+	0.800871i	$0.704370\pi$
$972$	0.387527	+	1.96210i	0.0124299	+	0.0629343i
$973$	−35.4755	−	23.6427i	−1.13729	−	0.757949i
$974$	11.4849	+	24.7738i	0.367999	+	0.793803i
$975$	59.7216	+	13.6311i	1.91262	+	0.436544i
$976$	−42.3711	+	7.08126i	−1.35627	+	0.226666i
$977$	−8.33123	+	36.5015i	−0.266540	+	1.16779i	0.647469	+	0.762092i	$0.275827\pi$
$977$	−8.33123	+	36.5015i	−0.266540	+	1.16779i	−0.914009	+	0.405695i	$0.867030\pi$
$978$	13.9947	−	10.8277i	0.447501	−	0.346231i
$979$	6.32751			0.202228
$980$	49.0955	−	18.7992i	1.56830	−	0.600520i
$981$	9.94355			0.317473
$982$	−11.4138	+	8.83082i	−0.364227	+	0.281803i
$983$	−11.9718	+	52.4518i	−0.381840	+	1.67295i	0.309872	+	0.950778i	$0.399714\pi$
$983$	−11.9718	+	52.4518i	−0.381840	+	1.67295i	−0.691712	+	0.722173i	$0.743143\pi$
$984$	−0.587936	+	13.3221i	−0.0187427	+	0.424693i
$985$	5.01523	+	1.14469i	0.159798	+	0.0364729i
$986$	9.54363	+	20.5864i	0.303931	+	0.655604i
$987$	8.86988	+	1.24140i	0.282331	+	0.0395142i
$988$	46.6811	−	9.21983i	1.48512	−	0.293322i
$989$	7.14917	+	3.44286i	0.227330	+	0.109476i
$990$	6.83035	−	3.16648i	0.217083	−	0.100637i
$991$	−16.4666	−	34.1932i	−0.523079	−	1.08618i	−0.980425	−	0.196895i	$-0.936914\pi$
$991$	−16.4666	−	34.1932i	−0.523079	−	1.08618i	0.457346	−	0.889289i	$-0.348800\pi$
$992$	1.30797	+	8.60227i	0.0415280	+	0.273122i
$993$	3.50441	+	7.27698i	0.111209	+	0.230928i
$994$	25.5375	+	10.1454i	0.809999	+	0.321792i
$995$	−15.9938	+	33.2115i	−0.507038	+	1.05288i
$996$	−8.06907	−	10.7522i	−0.255678	−	0.340695i
$997$	−45.4879	+	36.2754i	−1.44062	+	1.14885i	−0.477876	+	0.878427i	$0.658593\pi$
$997$	−45.4879	+	36.2754i	−1.44062	+	1.14885i	−0.962741	+	0.270426i	$0.912835\pi$
$998$	−7.24368	+	1.54165i	−0.229295	+	0.0488001i
$999$	10.3704			0.328103

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	588.2.x.b.223.8	yes	168
4.3	odd	2		588.2.x.a.223.17	✓	168
49.20	odd	14		588.2.x.a.559.17	yes	168
196.167	even	14	inner	588.2.x.b.559.8	yes	168

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
588.2.x.a.223.17	✓	168	4.3	odd	2
588.2.x.a.559.17	yes	168	49.20	odd	14
588.2.x.b.223.8	yes	168	1.1	even	1	trivial
588.2.x.b.559.8	yes	168	196.167	even	14	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:	\( N \)	\(=\)	\( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	588.x (of order \(14\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.865398 - 1.11852i) q^{2} +(0.222521 - 0.974928i) q^{3} +(-0.502172 + 1.93593i) q^{4} +(3.66097 + 0.835592i) q^{5} +(-1.28305 + 0.594807i) q^{6} +(-0.940574 + 2.47292i) q^{7} +(2.59995 - 1.11366i) q^{8} +(-0.900969 - 0.433884i) q^{9} +O(q^{10})\)	\(q+(-0.865398 - 1.11852i) q^{2} +(0.222521 - 0.974928i) q^{3} +(-0.502172 + 1.93593i) q^{4} +(3.66097 + 0.835592i) q^{5} +(-1.28305 + 0.594807i) q^{6} +(-0.940574 + 2.47292i) q^{7} +(2.59995 - 1.11366i) q^{8} +(-0.900969 - 0.433884i) q^{9} +(-2.23357 - 4.81799i) q^{10} +(-0.615107 - 1.27728i) q^{11} +(1.77565 + 0.920366i) q^{12} +(2.92044 + 6.06435i) q^{13} +(3.57998 - 1.08801i) q^{14} +(1.62928 - 3.38324i) q^{15} +(-3.49565 - 1.94434i) q^{16} +(-2.52480 + 2.01346i) q^{17} +(0.294389 + 1.38323i) q^{18} -3.53465 q^{19} +(-3.45608 + 6.66777i) q^{20} +(2.20162 + 1.46727i) q^{21} +(-0.896353 + 1.79337i) q^{22} +(5.43528 + 4.33449i) q^{23} +(-0.507195 - 2.78258i) q^{24} +(8.19963 + 3.94874i) q^{25} +(4.25575 - 8.51464i) q^{26} +(-0.623490 + 0.781831i) q^{27} +(-4.31506 - 3.06272i) q^{28} +(3.09780 + 3.88452i) q^{29} +(-5.19420 + 1.10547i) q^{30} +1.53816 q^{31} +(0.850345 + 5.59258i) q^{32} +(-1.38213 + 0.315463i) q^{33} +(4.43705 + 1.08159i) q^{34} +(-5.50976 + 8.26734i) q^{35} +(1.29241 - 1.52633i) q^{36} +(-6.46581 - 8.10787i) q^{37} +(3.05888 + 3.95358i) q^{38} +(6.56216 - 1.49777i) q^{39} +(10.4489 - 1.90458i) q^{40} +(-4.59645 - 1.04911i) q^{41} +(-0.264109 - 3.73232i) q^{42} +(1.11278 - 0.253985i) q^{43} +(2.78162 - 0.549388i) q^{44} +(-2.93587 - 2.34128i) q^{45} +(0.144532 - 9.83053i) q^{46} +(3.04994 - 1.46877i) q^{47} +(-2.67344 + 2.97535i) q^{48} +(-5.23064 - 4.65192i) q^{49} +(-2.67921 - 12.5887i) q^{50} +(1.40116 + 2.90954i) q^{51} +(-13.2067 + 2.60841i) q^{52} +(5.08062 - 6.37090i) q^{53} +(1.41406 + 0.0207900i) q^{54} +(-1.18460 - 5.19007i) q^{55} +(0.308542 + 7.47695i) q^{56} +(-0.786534 + 3.44603i) q^{57} +(1.66408 - 6.82660i) q^{58} +(-1.42951 - 6.26308i) q^{59} +(5.73154 + 4.85315i) q^{60} +(8.39662 - 6.69608i) q^{61} +(-1.33112 - 1.72046i) q^{62} +(1.92039 - 1.81992i) q^{63} +(5.51952 - 5.79093i) q^{64} +(5.62431 + 24.6417i) q^{65} +(1.54895 + 1.27294i) q^{66} -10.7256i q^{67} +(-2.63003 - 5.89894i) q^{68} +(5.43528 - 4.33449i) q^{69} +(14.0153 - 0.991760i) q^{70} +(5.74181 + 4.57894i) q^{71} +(-2.82568 - 0.124704i) q^{72} +(3.06354 - 6.36150i) q^{73} +(-3.47331 + 14.2487i) q^{74} +(5.67432 - 7.11538i) q^{75} +(1.77500 - 6.84283i) q^{76} +(3.73717 - 0.319729i) q^{77} +(-7.35417 - 6.04374i) q^{78} +4.18757i q^{79} +(-11.1728 - 10.0391i) q^{80} +(0.623490 + 0.781831i) q^{81} +(2.80431 + 6.04912i) q^{82} +(-6.05594 - 2.91639i) q^{83} +(-3.94612 + 3.52536i) q^{84} +(-10.9256 + 5.26151i) q^{85} +(-1.24708 - 1.02487i) q^{86} +(4.47645 - 2.15574i) q^{87} +(-3.02171 - 2.63586i) q^{88} +(-1.93655 + 4.02129i) q^{89} +(-0.0780688 + 5.30996i) q^{90} +(-17.7435 + 1.51803i) q^{91} +(-11.1207 + 8.34566i) q^{92} +(0.342273 - 1.49959i) q^{93} +(-4.28226 - 2.14034i) q^{94} +(-12.9402 - 2.95353i) q^{95} +(5.64158 + 0.415440i) q^{96} -8.69538i q^{97} +(-0.676682 + 9.87634i) q^{98} +1.41768i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) \) 168 * q + 28 * q^3 - 2 * q^7 + 6 * q^8 - 28 * q^9	\( 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9} - 20 q^{10} + 14 q^{14} - 20 q^{16} - 12 q^{19} + 25 q^{20} + 2 q^{21} - 6 q^{22} - 27 q^{24} + 32 q^{25} - 6 q^{26} + 28 q^{27} + 6 q^{28} - 8 q^{30} + 4 q^{31} - 45 q^{32} - 44 q^{34} + 12 q^{35} - 10 q^{37} - 35 q^{38} - 14 q^{39} + 40 q^{40} + 7 q^{42} + 20 q^{44} + 28 q^{46} + 8 q^{47} - 8 q^{48} - 8 q^{49} + 114 q^{50} - 20 q^{52} - 8 q^{53} + 23 q^{56} + 12 q^{57} - 6 q^{58} - 20 q^{59} + 10 q^{60} - 14 q^{61} + 16 q^{62} + 12 q^{63} - 42 q^{64} - 8 q^{65} + 6 q^{66} + 16 q^{68} + 19 q^{70} - 28 q^{71} - 15 q^{72} + 22 q^{74} - 18 q^{75} - 49 q^{76} + 8 q^{77} + 6 q^{78} - 26 q^{80} - 28 q^{81} - 12 q^{82} - 10 q^{83} - 27 q^{84} - 24 q^{85} - 34 q^{86} + 94 q^{88} - 20 q^{90} + 16 q^{91} + 7 q^{92} - 4 q^{93} + 11 q^{94} + 10 q^{96} - 150 q^{98}+O(q^{100}) \) 168 * q + 28 * q^3 - 2 * q^7 + 6 * q^8 - 28 * q^9 - 20 * q^10 + 14 * q^14 - 20 * q^16 - 12 * q^19 + 25 * q^20 + 2 * q^21 - 6 * q^22 - 27 * q^24 + 32 * q^25 - 6 * q^26 + 28 * q^27 + 6 * q^28 - 8 * q^30 + 4 * q^31 - 45 * q^32 - 44 * q^34 + 12 * q^35 - 10 * q^37 - 35 * q^38 - 14 * q^39 + 40 * q^40 + 7 * q^42 + 20 * q^44 + 28 * q^46 + 8 * q^47 - 8 * q^48 - 8 * q^49 + 114 * q^50 - 20 * q^52 - 8 * q^53 + 23 * q^56 + 12 * q^57 - 6 * q^58 - 20 * q^59 + 10 * q^60 - 14 * q^61 + 16 * q^62 + 12 * q^63 - 42 * q^64 - 8 * q^65 + 6 * q^66 + 16 * q^68 + 19 * q^70 - 28 * q^71 - 15 * q^72 + 22 * q^74 - 18 * q^75 - 49 * q^76 + 8 * q^77 + 6 * q^78 - 26 * q^80 - 28 * q^81 - 12 * q^82 - 10 * q^83 - 27 * q^84 - 24 * q^85 - 34 * q^86 + 94 * q^88 - 20 * q^90 + 16 * q^91 + 7 * q^92 - 4 * q^93 + 11 * q^94 + 10 * q^96 - 150 * q^98

Introduction

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