LMFDB - Embedded newform 588.2.x.a.223.2

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			223.2
Character	$\chi$	$=$	588.223
Dual form			588.2.x.a.559.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.41331 - 0.0505560i) q^{2} +(-0.222521 + 0.974928i) q^{3} +(1.99489 + 0.142903i) q^{4} +(2.57339 + 0.587359i) q^{5} +(0.363779 - 1.36663i) q^{6} +(-2.51025 - 0.835852i) q^{7} +(-2.81217 - 0.302819i) q^{8} +(-0.900969 - 0.433884i) q^{9} +O(q^{10})$	\(q+(-1.41331 - 0.0505560i) q^{2} +(-0.222521 + 0.974928i) q^{3} +(1.99489 + 0.142903i) q^{4} +(2.57339 + 0.587359i) q^{5} +(0.363779 - 1.36663i) q^{6} +(-2.51025 - 0.835852i) q^{7} +(-2.81217 - 0.302819i) q^{8} +(-0.900969 - 0.433884i) q^{9} +(-3.60730 - 0.960221i) q^{10} +(1.03750 + 2.15439i) q^{11} +(-0.583224 + 1.91307i) q^{12} +(1.89781 + 3.94084i) q^{13} +(3.50550 + 1.30823i) q^{14} +(-1.14527 + 2.37817i) q^{15} +(3.95916 + 0.570149i) q^{16} +(-0.584700 + 0.466282i) q^{17} +(1.25141 + 0.658761i) q^{18} -5.65127 q^{19} +(5.04969 + 1.53946i) q^{20} +(1.37348 - 2.26132i) q^{21} +(-1.35739 - 3.09728i) q^{22} +(6.32994 + 5.04796i) q^{23} +(0.920994 - 2.67428i) q^{24} +(1.77249 + 0.853588i) q^{25} +(-2.48296 - 5.66558i) q^{26} +(0.623490 - 0.781831i) q^{27} +(-4.88822 - 2.02615i) q^{28} +(1.27868 + 1.60341i) q^{29} +(1.73885 - 3.30319i) q^{30} +0.240610 q^{31} +(-5.56669 - 1.00596i) q^{32} +(-2.33124 + 0.532091i) q^{33} +(0.849935 - 0.629441i) q^{34} +(-5.96890 - 3.62539i) q^{35} +(-1.73533 - 0.994300i) q^{36} +(-1.99964 - 2.50747i) q^{37} +(7.98699 + 0.285705i) q^{38} +(-4.26434 + 0.973308i) q^{39} +(-7.05894 - 2.43102i) q^{40} +(11.4238 + 2.60740i) q^{41} +(-2.05547 + 3.12650i) q^{42} +(-9.66372 + 2.20568i) q^{43} +(1.76183 + 4.44603i) q^{44} +(-2.06370 - 1.64574i) q^{45} +(-8.69097 - 7.45435i) q^{46} +(2.94725 - 1.41932i) q^{47} +(-1.43685 + 3.73302i) q^{48} +(5.60270 + 4.19639i) q^{49} +(-2.46193 - 1.29599i) q^{50} +(-0.324484 - 0.673798i) q^{51} +(3.22276 + 8.13274i) q^{52} +(-7.68409 + 9.63554i) q^{53} +(-0.920710 + 1.07345i) q^{54} +(1.40449 + 6.15347i) q^{55} +(6.80614 + 3.11071i) q^{56} +(1.25753 - 5.50958i) q^{57} +(-1.72610 - 2.33076i) q^{58} +(0.367809 + 1.61148i) q^{59} +(-2.62452 + 4.58052i) q^{60} +(-1.02870 + 0.820364i) q^{61} +(-0.340056 - 0.0121643i) q^{62} +(1.89899 + 1.84223i) q^{63} +(7.81660 + 1.70316i) q^{64} +(2.56911 + 11.2560i) q^{65} +(3.32167 - 0.634151i) q^{66} +9.89182i q^{67} +(-1.23304 + 0.846626i) q^{68} +(-6.32994 + 5.04796i) q^{69} +(8.25262 + 5.42556i) q^{70} +(2.19839 + 1.75316i) q^{71} +(2.40229 + 1.49299i) q^{72} +(-4.78064 + 9.92710i) q^{73} +(2.69934 + 3.64493i) q^{74} +(-1.22660 + 1.53811i) q^{75} +(-11.2736 - 0.807580i) q^{76} +(-0.803632 - 6.27526i) q^{77} +(6.07604 - 1.16000i) q^{78} -6.28692i q^{79} +(9.85357 + 3.79266i) q^{80} +(0.623490 + 0.781831i) q^{81} +(-16.0135 - 4.26260i) q^{82} +(5.85990 + 2.82198i) q^{83} +(3.06308 - 4.31480i) q^{84} +(-1.77853 + 0.856497i) q^{85} +(13.7693 - 2.62875i) q^{86} +(-1.84774 + 0.889825i) q^{87} +(-2.26524 - 6.37269i) q^{88} +(6.43770 - 13.3680i) q^{89} +(2.83344 + 2.43028i) q^{90} +(-1.47001 - 11.4788i) q^{91} +(11.9062 + 10.9747i) q^{92} +(-0.0535407 + 0.234577i) q^{93} +(-4.23713 + 1.85694i) q^{94} +(-14.5429 - 3.31932i) q^{95} +(2.21944 - 5.20328i) q^{96} -11.5887i q^{97} +(-7.70620 - 6.21405i) q^{98} -2.39120i 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} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 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} - 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} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) $ 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9 + 20 * q^10 - 12 * q^14 + 36 * q^16 + 12 * q^19 - 25 * q^20 + 2 * q^21 - 6 * q^22 - 15 * q^24 + 32 * q^25 + 6 * q^26 - 28 * q^27 - 66 * q^28 - 8 * q^30 - 4 * q^31 + 25 * q^32 - 68 * q^34 - 12 * q^35 - 10 * q^37 + 35 * q^38 + 14 * q^39 + 16 * q^40 + 9 * 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 - 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 + 59 * q^70 + 28 * q^71 - 15 * q^72 + 22 * q^74 + 18 * q^75 + 7 * q^76 + 8 * q^77 + 6 * q^78 + 26 * q^80 - 28 * q^81 + 12 * q^82 + 10 * q^83 + 11 * q^84 - 24 * q^85 - 6 * q^86 - 242 * q^88 + 20 * q^90 - 16 * q^91 + 7 * q^92 - 4 * q^93 - 53 * q^94 - 10 * q^96 - 118 * 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 $

$2$	−1.41331	−	0.0505560i	−0.999361	−	0.0357485i
$2$	−1.41331	−	0.0505560i	−0.999361	−	0.0357485i
$3$	−0.222521	+	0.974928i	−0.128473	+	0.562875i
$3$	−0.222521	+	0.974928i	−0.128473	+	0.562875i
$4$	1.99489	+	0.142903i	0.997444	+	0.0714513i
$5$	2.57339	+	0.587359i	1.15085	+	0.262675i	0.755055	−	0.655662i	$-0.227610\pi$
$5$	2.57339	+	0.587359i	1.15085	+	0.262675i	0.395800	+	0.918337i	$0.370467\pi$
$6$	0.363779	−	1.36663i	0.148512	−	0.557922i
$7$	−2.51025	−	0.835852i	−0.948785	−	0.315922i
$7$	−2.51025	−	0.835852i	−0.948785	−	0.315922i
$8$	−2.81217	−	0.302819i	−0.994252	−	0.107063i
$9$	−0.900969	−	0.433884i	−0.300323	−	0.144628i
$10$	−3.60730	−	0.960221i	−1.14073	−	0.303648i
$11$	1.03750	+	2.15439i	0.312818	+	0.649574i	0.996801	−	0.0799245i	$-0.0254679\pi$
$11$	1.03750	+	2.15439i	0.312818	+	0.649574i	−0.683983	+	0.729498i	$0.739754\pi$
$12$	−0.583224	+	1.91307i	−0.168362	+	0.552257i
$13$	1.89781	+	3.94084i	0.526358	+	1.09299i	0.979479	+	0.201544i	$0.0645960\pi$
$13$	1.89781	+	3.94084i	0.526358	+	1.09299i	−0.453122	+	0.891449i	$0.649690\pi$
$14$	3.50550	+	1.30823i	0.936885	+	0.349638i
$15$	−1.14527	+	2.37817i	−0.295706	+	0.614040i
$16$	3.95916	+	0.570149i	0.989789	+	0.142537i
$17$	−0.584700	+	0.466282i	−0.141810	+	0.113090i	−0.691826	−	0.722065i	$-0.743193\pi$
$17$	−0.584700	+	0.466282i	−0.141810	+	0.113090i	0.550015	+	0.835155i	$0.314622\pi$
$18$	1.25141	+	0.658761i	0.294961	+	0.155272i
$19$	−5.65127			−1.29649			−0.648245	−	0.761432i	$-0.724497\pi$
$19$	−5.65127			−1.29649			−0.648245	+	0.761432i	$0.724497\pi$
$20$	5.04969	+	1.53946i	1.12914	+	0.344234i
$21$	1.37348	−	2.26132i	0.299718	−	0.493460i
$22$	−1.35739	−	3.09728i	−0.289397	−	0.660341i
$23$	6.32994	+	5.04796i	1.31988	+	1.05257i	0.994251	+	0.107077i	$0.0341491\pi$
$23$	6.32994	+	5.04796i	1.31988	+	1.05257i	0.325634	+	0.945496i	$0.394422\pi$
$24$	0.920994	−	2.67428i	0.187997	−	0.545885i
$25$	1.77249	+	0.853588i	0.354499	+	0.170718i
$26$	−2.48296	−	5.66558i	−0.486948	−	1.11111i
$27$	0.623490	−	0.781831i	0.119991	−	0.150464i
$28$	−4.88822	−	2.02615i	−0.923787	−	0.382907i
$29$	1.27868	+	1.60341i	0.237444	+	0.297745i	0.886249	−	0.463209i	$-0.153302\pi$
$29$	1.27868	+	1.60341i	0.237444	+	0.297745i	−0.648805	+	0.760955i	$0.724731\pi$
$30$	1.73885	−	3.30319i	0.317468	−	0.603077i
$31$	0.240610			0.0432148			0.0216074	−	0.999767i	$-0.493122\pi$
$31$	0.240610			0.0432148			0.0216074	+	0.999767i	$0.493122\pi$
$32$	−5.56669	−	1.00596i	−0.984061	−	0.177830i
$33$	−2.33124	+	0.532091i	−0.405817	+	0.0926252i
$34$	0.849935	−	0.629441i	0.145763	−	0.107948i
$35$	−5.96890	−	3.62539i	−1.00893	−	0.612803i
$36$	−1.73533	−	0.994300i	−0.289222	−	0.165717i
$37$	−1.99964	−	2.50747i	−0.328739	−	0.412226i	0.589804	−	0.807546i	$-0.299205\pi$
$37$	−1.99964	−	2.50747i	−0.328739	−	0.412226i	−0.918543	+	0.395321i	$0.870633\pi$
$38$	7.98699	+	0.285705i	1.29566	+	0.0463475i
$39$	−4.26434	+	0.973308i	−0.682841	+	0.155854i
$40$	−7.05894	−	2.43102i	−1.11612	−	0.384379i
$41$	11.4238	+	2.60740i	1.78409	+	0.407208i	0.981830	−	0.189763i	$-0.0607721\pi$
$41$	11.4238	+	2.60740i	1.78409	+	0.407208i	0.802263	+	0.596971i	$0.203629\pi$
$42$	−2.05547	+	3.12650i	−0.317166	+	0.482430i
$43$	−9.66372	+	2.20568i	−1.47370	+	0.336363i	−0.882559	−	0.470202i	$-0.844181\pi$
$43$	−9.66372	+	2.20568i	−1.47370	+	0.336363i	−0.591145	+	0.806565i	$0.701324\pi$
$44$	1.76183	+	4.44603i	0.265606	+	0.670265i
$45$	−2.06370	−	1.64574i	−0.307638	−	0.245333i
$46$	−8.69097	−	7.45435i	−1.28141	−	1.09908i
$47$	2.94725	−	1.41932i	0.429900	−	0.207029i	−0.206405	−	0.978467i	$-0.566176\pi$
$47$	2.94725	−	1.41932i	0.429900	−	0.207029i	0.636305	+	0.771438i	$0.280462\pi$
$48$	−1.43685	+	3.73302i	−0.207391	+	0.538815i
$49$	5.60270	+	4.19639i	0.800386	+	0.599485i
$50$	−2.46193	−	1.29599i	−0.348169	−	0.183281i
$51$	−0.324484	−	0.673798i	−0.0454368	−	0.0943505i
$52$	3.22276	+	8.13274i	0.446917	+	1.12781i
$53$	−7.68409	+	9.63554i	−1.05549	+	1.32354i	−0.111430	+	0.993772i	$0.535543\pi$
$53$	−7.68409	+	9.63554i	−1.05549	+	1.32354i	−0.944061	+	0.329771i	$0.893028\pi$
$54$	−0.920710	+	1.07345i	−0.125293	+	0.146078i
$55$	1.40449	+	6.15347i	0.189381	+	0.829734i
$56$	6.80614	+	3.11071i	0.909508	+	0.415686i
$57$	1.25753	−	5.50958i	0.166563	−	0.729761i
$58$	−1.72610	−	2.33076i	−0.226648	−	0.306043i
$59$	0.367809	+	1.61148i	0.0478847	+	0.209797i	0.993211	−	0.116331i	$-0.0371133\pi$
$59$	0.367809	+	1.61148i	0.0478847	+	0.209797i	−0.945326	+	0.326127i	$0.894256\pi$
$60$	−2.62452	+	4.58052i	−0.338824	+	0.591342i
$61$	−1.02870	+	0.820364i	−0.131712	+	0.105037i	−0.687130	−	0.726535i	$-0.741130\pi$
$61$	−1.02870	+	0.820364i	−0.131712	+	0.105037i	0.555418	+	0.831571i	$0.312558\pi$
$62$	−0.340056	−	0.0121643i	−0.0431872	−	0.00154486i
$63$	1.89899	+	1.84223i	0.239251	+	0.232100i
$64$	7.81660	+	1.70316i	0.977075	+	0.212895i
$65$	2.56911	+	11.2560i	0.318659	+	1.39614i
$66$	3.32167	−	0.634151i	0.408869	−	0.0780586i
$67$			9.89182i			1.20848i	0.796803	+	0.604239i	$0.206523\pi$
$67$			9.89182i			1.20848i	−0.796803	+	0.604239i	$0.793477\pi$
$68$	−1.23304	+	0.846626i	−0.149528	+	0.102668i
$69$	−6.32994	+	5.04796i	−0.762036	+	0.607703i
$70$	8.25262	+	5.42556i	0.986377	+	0.648479i
$71$	2.19839	+	1.75316i	0.260901	+	0.208062i	0.745200	−	0.666841i	$-0.232354\pi$
$71$	2.19839	+	1.75316i	0.260901	+	0.208062i	−0.484299	+	0.874902i	$0.660925\pi$
$72$	2.40229	+	1.49299i	0.283113	+	0.175950i
$73$	−4.78064	+	9.92710i	−0.559532	+	1.16188i	0.408895	+	0.912581i	$0.365914\pi$
$73$	−4.78064	+	9.92710i	−0.559532	+	1.16188i	−0.968427	+	0.249298i	$0.919800\pi$
$74$	2.69934	+	3.64493i	0.313792	+	0.423714i
$75$	−1.22660	+	1.53811i	−0.141636	+	0.177606i
$76$	−11.2736	−	0.807580i	−1.29318	−	0.0926358i
$77$	−0.803632	−	6.27526i	−0.0915823	−	0.715132i
$78$	6.07604	−	1.16000i	0.687976	−	0.131344i
$79$		−	6.28692i		−	0.707334i	−0.935371	−	0.353667i	$-0.884935\pi$
$79$		−	6.28692i		−	0.707334i	0.935371	−	0.353667i	$-0.115065\pi$
$80$	9.85357	+	3.79266i	1.10166	+	0.424033i
$81$	0.623490	+	0.781831i	0.0692766	+	0.0868702i
$82$	−16.0135	−	4.26260i	−1.76840	−	0.470726i
$83$	5.85990	+	2.82198i	0.643208	+	0.309752i	0.726904	−	0.686739i	$-0.240958\pi$
$83$	5.85990	+	2.82198i	0.643208	+	0.309752i	−0.0836967	+	0.996491i	$0.526673\pi$
$84$	3.06308	−	4.31480i	0.334210	−	0.470783i
$85$	−1.77853	+	0.856497i	−0.192909	+	0.0929001i
$86$	13.7693	−	2.62875i	1.48479	−	0.283466i
$87$	−1.84774	+	0.889825i	−0.198098	+	0.0953992i
$88$	−2.26524	−	6.37269i	−0.241475	−	0.679331i
$89$	6.43770	−	13.3680i	0.682395	−	1.41701i	−0.215369	−	0.976533i	$-0.569096\pi$
$89$	6.43770	−	13.3680i	0.682395	−	1.41701i	0.897765	−	0.440476i	$-0.145190\pi$
$90$	2.83344	+	2.43028i	0.298671	+	0.256174i
$91$	−1.47001	−	11.4788i	−0.154099	−	1.20330i
$92$	11.9062	+	10.9747i	1.24130	+	1.14419i
$93$	−0.0535407	+	0.234577i	−0.00555191	+	0.0243245i
$94$	−4.23713	+	1.85694i	−0.437026	+	0.191528i
$95$	−14.5429	−	3.31932i	−1.49207	−	0.340555i
$96$	2.21944	−	5.20328i	0.226521	−	0.531057i
$97$		−	11.5887i		−	1.17665i	−0.808623	−	0.588326i	$-0.799787\pi$
$97$		−	11.5887i		−	1.17665i	0.808623	−	0.588326i	$-0.200213\pi$
$98$	−7.70620	−	6.21405i	−0.778444	−	0.627714i
$99$		−	2.39120i		−	0.240324i
$100$	3.41394	+	1.95611i	0.341394	+	0.195611i
$101$	−17.2863	−	3.94548i	−1.72005	−	0.392590i	−0.755220	−	0.655471i	$-0.772470\pi$
$101$	−17.2863	−	3.94548i	−1.72005	−	0.392590i	−0.964828	+	0.262881i	$0.915327\pi$
$102$	0.424532	+	0.968689i	0.0420349	+	0.0959145i
$103$	0.783993	−	3.43490i	0.0772491	−	0.338451i	−0.921504	−	0.388368i	$-0.873039\pi$
$103$	0.783993	−	3.43490i	0.0772491	−	0.338451i	0.998753	+	0.0499178i	$0.0158959\pi$
$104$	−4.14360	−	11.6570i	−0.406314	−	1.14306i
$105$	4.86270	−	5.01252i	0.474551	−	0.489172i
$106$	11.3471	−	13.2295i	1.10213	−	1.28497i
$107$	0.779414	−	1.61847i	0.0753488	−	0.156463i	−0.859892	−	0.510477i	$-0.829469\pi$
$107$	0.779414	−	1.61847i	0.0753488	−	0.156463i	0.935240	+	0.354013i	$0.115183\pi$
$108$	1.35552	−	1.47057i	0.130435	−	0.141505i
$109$	11.5268	−	5.55099i	1.10406	−	0.531689i	0.209129	−	0.977888i	$-0.432937\pi$
$109$	11.5268	−	5.55099i	1.10406	−	0.531689i	0.894934	+	0.446199i	$0.147223\pi$
$110$	−1.67388	−	8.76777i	−0.159599	−	0.835974i
$111$	2.88956	−	1.39154i	0.274265	−	0.132079i
$112$	−9.46191	−	4.74049i	−0.894067	−	0.447934i
$113$	−6.74224	−	3.24689i	−0.634257	−	0.305442i	0.0889891	−	0.996033i	$-0.471636\pi$
$113$	−6.74224	−	3.24689i	−0.634257	−	0.305442i	−0.723246	+	0.690591i	$0.757351\pi$
$114$	−2.05581	+	7.72316i	−0.192545	+	0.723341i
$115$	13.3244	+	16.7083i	1.24251	+	1.55806i
$116$	2.32168	+	3.38135i	0.215563	+	0.313950i
$117$		−	4.37401i		−	0.404377i
$118$	−0.438359	−	2.29611i	−0.0403542	−	0.211374i
$119$	1.85748	−	0.681763i	0.170275	−	0.0624971i
$120$	3.94084	−	6.34101i	0.359748	−	0.578852i
$121$	3.29339	−	4.12978i	0.299399	−	0.375434i
$122$	1.49535	−	1.10742i	0.135383	−	0.100261i
$123$	−5.08405	+	10.5571i	−0.458414	+	0.951906i
$124$	0.479989	+	0.0343837i	0.0431043	+	0.00308775i
$125$	−6.25854	−	4.99102i	−0.559781	−	0.446410i
$126$	−2.59073	−	2.69965i	−0.230801	−	0.240504i
$127$	1.33618	−	1.06557i	0.118567	−	0.0945541i	−0.562411	−	0.826858i	$-0.690126\pi$
$127$	1.33618	−	1.06557i	0.118567	−	0.0945541i	0.680978	+	0.732304i	$0.261555\pi$
$128$	−10.9612	−	2.80227i	−0.968840	−	0.247688i
$129$		−	9.91224i		−	0.872724i
$130$	−3.06189	−	16.0381i	−0.268546	−	1.40664i
$131$	1.25085	+	5.48033i	0.109287	+	0.478819i	0.999719	+	0.0237021i	$0.00754532\pi$
$131$	1.25085	+	5.48033i	0.109287	+	0.478819i	−0.890432	+	0.455117i	$0.849598\pi$
$132$	−4.72661	+	0.728321i	−0.411398	+	0.0633922i
$133$	14.1861	+	4.72362i	1.23009	+	0.409590i
$134$	0.500091	−	13.9802i	0.0432013	−	1.20771i
$135$	2.06370	−	1.64574i	0.177615	−	0.141643i
$136$	1.78547	−	1.13421i	0.153103	−	0.0972575i
$137$	3.58829	+	15.7213i	0.306568	+	1.34316i	0.860011	+	0.510275i	$0.170457\pi$
$137$	3.58829	+	15.7213i	0.306568	+	1.34316i	−0.553443	+	0.832887i	$0.686686\pi$
$138$	9.20138	−	6.81432i	0.783273	−	0.580073i
$139$	3.44631	−	15.0993i	0.292312	−	1.28070i	−0.588987	−	0.808142i	$-0.700473\pi$
$139$	3.44631	−	15.0993i	0.292312	−	1.28070i	0.881299	−	0.472559i	$-0.156670\pi$
$140$	−11.3892	−	8.08522i	−0.962564	−	0.683326i
$141$	0.727910	+	3.18918i	0.0613011	+	0.268578i
$142$	−3.01837	−	2.58890i	−0.253296	−	0.217255i
$143$	−6.52114	+	8.17725i	−0.545325	+	0.683816i
$144$	−3.31970	−	2.23150i	−0.276642	−	0.185958i
$145$	2.34875	+	4.87723i	0.195053	+	0.405032i
$146$	7.25840	−	13.7884i	0.600709	−	1.14113i
$147$	−5.33790	+	4.52845i	−0.440263	+	0.373500i
$148$	−3.63074	−	5.28788i	−0.298445	−	0.434661i
$149$	4.58673	−	2.20885i	0.375760	−	0.180956i	−0.236465	−	0.971640i	$-0.575989\pi$
$149$	4.58673	−	2.20885i	0.375760	−	0.180956i	0.612225	+	0.790684i	$0.290275\pi$
$150$	1.81133	−	2.11182i	0.147895	−	0.172429i
$151$	10.2339	+	8.16124i	0.832821	+	0.664153i	0.944108	−	0.329636i	$-0.106926\pi$
$151$	10.2339	+	8.16124i	0.832821	+	0.664153i	−0.111287	+	0.993788i	$0.535497\pi$
$152$	15.8923	+	1.71131i	1.28904	+	0.138806i
$153$	0.729108	−	0.166414i	0.0589449	−	0.0134538i
$154$	0.818529	+	8.90951i	0.0659589	+	0.717949i
$155$	0.619182	+	0.141324i	0.0497339	+	0.0113514i
$156$	−8.64597	+	1.33225i	−0.692232	+	0.106666i
$157$	−3.05369	+	0.696985i	−0.243711	+	0.0556254i	−0.342631	−	0.939470i	$-0.611318\pi$
$157$	−3.05369	+	0.696985i	−0.243711	+	0.0556254i	0.0989205	+	0.995095i	$0.468461\pi$
$158$	−0.317842	+	8.88537i	−0.0252861	+	0.706882i
$159$	−7.68409	−	9.63554i	−0.609388	−	0.764148i
$160$	−13.7344	−	5.85836i	−1.08580	−	0.463144i
$161$	−11.6704	−	17.9625i	−0.919755	−	1.41565i
$162$	−0.841658	−	1.13649i	−0.0661269	−	0.0892912i
$163$	22.9100	−	5.22906i	1.79445	−	0.409572i	0.810173	−	0.586191i	$-0.199373\pi$
$163$	22.9100	−	5.22906i	1.79445	−	0.409572i	0.984279	+	0.176619i	$0.0565161\pi$
$164$	22.4165	+	6.83396i	1.75044	+	0.533642i
$165$	−6.31172			−0.491367
$166$	−8.13919	−	4.28458i	−0.631723	−	0.332548i
$167$	−8.69453	−	10.9026i	−0.672803	−	0.843668i	0.321866	−	0.946785i	$-0.395690\pi$
$167$	−8.69453	−	10.9026i	−0.672803	−	0.843668i	−0.994669	+	0.103117i	$0.967118\pi$
$168$	−4.54723	+	5.94329i	−0.350826	+	0.458535i
$169$	−3.82319	+	4.79413i	−0.294092	+	0.368779i
$170$	2.55692	−	1.12058i	0.196107	−	0.0859445i
$171$	5.09162	+	2.45199i	0.389366	+	0.187509i
$172$	−19.5932	+	3.01912i	−1.49397	+	0.230206i
$173$	−9.60754	−	7.66176i	−0.730448	−	0.582513i	0.186056	−	0.982539i	$-0.440430\pi$
$173$	−9.60754	−	7.66176i	−0.730448	−	0.582513i	−0.916504	+	0.400026i	$0.869001\pi$
$174$	2.65641	−	1.16418i	0.201382	−	0.0882565i
$175$	−3.73593	−	3.62426i	−0.282409	−	0.273968i
$176$	2.87930	+	9.12111i	0.217036	+	0.687530i
$177$	−1.65292			−0.124241
$178$	−9.77430	+	18.5677i	−0.732615	+	1.39171i
$179$	11.1372	−	8.88166i	0.832437	−	0.663846i	−0.111576	−	0.993756i	$-0.535590\pi$
$179$	11.1372	−	8.88166i	0.832437	−	0.663846i	0.944013	+	0.329910i	$0.107018\pi$
$180$	−3.88166	−	3.57798i	−0.289322	−	0.266687i
$181$	0.495218	−	1.02833i	0.0368093	−	0.0764353i	−0.881753	−	0.471711i	$-0.843637\pi$
$181$	0.495218	−	1.02833i	0.0368093	−	0.0764353i	0.918563	+	0.395276i	$0.129351\pi$
$182$	1.49726	+	16.2974i	0.110985	+	1.20804i
$183$	−0.570887	−	1.18546i	−0.0422012	−	0.0876317i
$184$	−16.2723	−	16.1126i	−1.19961	−	1.18783i
$185$	−3.67307	−	7.62720i	−0.270049	−	0.560763i
$186$	0.0875289	−	0.328823i	0.00641793	−	0.0241105i
$187$	−1.61118	−	0.775904i	−0.117821	−	0.0567397i
$188$	6.08225	−	2.41021i	0.443594	−	0.175783i
$189$	−2.21861	+	1.44145i	−0.161380	+	0.104850i
$190$	20.3858	+	5.42646i	1.47894	+	0.393677i
$191$	19.4936	+	4.44930i	1.41051	+	0.321940i	0.858892	−	0.512157i	$-0.171153\pi$
$191$	19.4936	+	4.44930i	1.41051	+	0.321940i	0.551618	+	0.834097i	$0.314010\pi$
$192$	−3.39981	+	7.24163i	−0.245360	+	0.522620i
$193$	−2.19666	+	9.62418i	−0.158119	+	0.692764i	0.832260	+	0.554385i	$0.187046\pi$
$193$	−2.19666	+	9.62418i	−0.158119	+	0.692764i	−0.990379	+	0.138379i	$0.955811\pi$
$194$	−0.585878	+	16.3784i	−0.0420636	+	1.17590i
$195$	−11.5455			−0.826789
$196$	10.5771	+	9.17198i	0.755506	+	0.655141i
$197$	0.917043			0.0653366			0.0326683	−	0.999466i	$-0.489600\pi$
$197$	0.917043			0.0653366			0.0326683	+	0.999466i	$0.489600\pi$
$198$	−0.120889	+	3.37950i	−0.00859123	+	0.240171i
$199$	−0.119882	+	0.525237i	−0.00849821	+	0.0372331i	−0.978999	−	0.203864i	$-0.934650\pi$
$199$	−0.119882	+	0.525237i	−0.00849821	+	0.0372331i	0.970501	+	0.241097i	$0.0775072\pi$
$200$	−4.72607	−	2.93718i	−0.334183	−	0.207690i
$201$	−9.64381	−	2.20114i	−0.680222	−	0.155256i
$202$	24.2314	+	6.45011i	1.70491	+	0.453828i
$203$	−1.86958	−	5.09374i	−0.131219	−	0.357510i
$204$	−0.551021	−	1.39052i	−0.0385792	−	0.0973559i
$205$	27.8663	+	13.4197i	1.94627	+	0.937273i
$206$	−1.28168	+	4.81494i	−0.0892989	+	0.335473i
$207$	−3.51285	−	7.29452i	−0.244160	−	0.507004i
$208$	5.26686	+	16.6845i	0.365191	+	1.15686i
$209$	−5.86319	−	12.1750i	−0.405566	−	0.842166i
$210$	−7.12591	+	6.83841i	−0.491735	+	0.471895i
$211$	9.04895	−	18.7903i	0.622955	−	1.29358i	−0.315744	−	0.948844i	$-0.602254\pi$
$211$	9.04895	−	18.7903i	0.622955	−	1.29358i	0.938700	−	0.344736i	$-0.112032\pi$
$212$	−16.7058	+	18.1238i	−1.14736	+	1.24474i
$213$	−2.19839	+	1.75316i	−0.150631	+	0.120124i
$214$	−1.18338	+	2.24799i	−0.0808939	+	0.153670i
$215$	−26.1640			−1.78437
$216$	−1.99011	+	2.00984i	−0.135410	+	0.136752i
$217$	−0.603990	−	0.201114i	−0.0410015	−	0.0136525i
$218$	−16.5715	+	7.26252i	−1.12236	+	0.491880i
$219$	−8.61442	−	6.86977i	−0.582108	−	0.464216i
$220$	1.92245	+	12.4762i	0.129612	+	0.841145i
$221$	−2.94719	−	1.41929i	−0.198250	−	0.0954720i
$222$	−4.15420	+	1.82059i	−0.278812	+	0.122190i
$223$	8.22903	−	10.3189i	0.551057	−	0.691003i	−0.425820	−	0.904808i	$-0.640014\pi$
$223$	8.22903	−	10.3189i	0.551057	−	0.691003i	0.976876	+	0.213805i	$0.0685856\pi$
$224$	13.1330	+	7.17813i	0.877482	+	0.479609i
$225$	−1.22660	−	1.53811i	−0.0817735	−	0.102541i
$226$	9.36472	+	4.92972i	0.622932	+	0.327920i
$227$	20.4246			1.35563			0.677814	−	0.735233i	$-0.262927\pi$
$227$	20.4246			1.35563			0.677814	+	0.735233i	$0.262927\pi$
$228$	3.29595	−	10.8113i	0.218280	−	0.715995i
$229$	0.219924	−	0.0501962i	0.0145330	−	0.00331706i	−0.215248	−	0.976559i	$-0.569056\pi$
$229$	0.219924	−	0.0501962i	0.0145330	−	0.00331706i	0.229781	+	0.973242i	$0.426199\pi$
$230$	−17.9869	−	24.2877i	−1.18602	−	1.60148i
$231$	6.29675	+	0.612894i	0.414296	+	0.0403254i
$232$	−3.11031	−	4.89626i	−0.204202	−	0.321456i
$233$	−0.802049	−	1.00574i	−0.0525440	−	0.0658881i	0.754865	−	0.655880i	$-0.227702\pi$
$233$	−0.802049	−	1.00574i	−0.0525440	−	0.0658881i	−0.807409	+	0.589992i	$0.799131\pi$
$234$	−0.221132	+	6.18182i	−0.0144559	+	0.404118i
$235$	8.41806	−	1.92137i	0.549134	−	0.125336i
$236$	0.503454	+	3.26728i	0.0327721	+	0.212682i
$237$	6.12929	+	1.39897i	0.398140	+	0.0908730i
$238$	−2.65967	+	0.869635i	−0.172401	+	0.0563700i
$239$	10.2200	−	2.33264i	0.661075	−	0.150886i	0.121196	−	0.992629i	$-0.461327\pi$
$239$	10.2200	−	2.33264i	0.661075	−	0.150886i	0.539879	+	0.841743i	$0.318470\pi$
$240$	−5.89020	+	8.76257i	−0.380211	+	0.565622i
$241$	−10.4940	−	8.36870i	−0.675979	−	0.539076i	0.224228	−	0.974537i	$-0.428014\pi$
$241$	−10.4940	−	8.36870i	−0.675979	−	0.539076i	−0.900208	+	0.435461i	$0.856585\pi$
$242$	−4.86336	+	5.67015i	−0.312629	+	0.364491i
$243$	−0.900969	+	0.433884i	−0.0577972	+	0.0278337i
$244$	−2.16938	+	1.48953i	−0.138880	+	0.0953574i
$245$	11.9531	+	14.0898i	0.763658	+	0.900161i
$246$	7.71907	−	14.6635i	0.492150	−	0.934910i
$247$	−10.7250	−	22.2708i	−0.682417	−	1.41705i
$248$	−0.676635	−	0.0728612i	−0.0429664	−	0.00462669i
$249$	−4.05518	+	5.08503i	−0.256986	+	0.322251i
$250$	8.59292	+	7.37026i	0.543464	+	0.466136i
$251$	1.82478	+	7.99488i	0.115179	+	0.504632i	0.999301	+	0.0373765i	$0.0119001\pi$
$251$	1.82478	+	7.99488i	0.115179	+	0.504632i	−0.884122	+	0.467256i	$0.845243\pi$
$252$	3.52502	+	3.94642i	0.222055	+	0.248601i
$253$	−4.30797	+	18.8744i	−0.270840	+	1.18663i
$254$	−1.94231	+	1.43843i	−0.121871	+	0.0902550i
$255$	−0.439262	−	1.92453i	−0.0275076	−	0.120519i
$256$	15.3499	+	4.51462i	0.959366	+	0.282164i
$257$	21.3595	−	17.0336i	1.33237	−	1.06253i	0.339842	−	0.940482i	$-0.389626\pi$
$257$	21.3595	−	17.0336i	1.33237	−	1.06253i	0.992525	−	0.122045i	$-0.0389451\pi$
$258$	−0.501123	+	14.0091i	−0.0311986	+	0.872166i
$259$	2.92372	+	7.96578i	0.181671	+	0.494969i
$260$	3.51658	+	22.8216i	0.218089	+	1.41534i
$261$	−0.456354	−	1.99942i	−0.0282476	−	0.123761i
$262$	−1.49077	−	7.80864i	−0.0921004	−	0.482420i
$263$		−	10.8080i		−	0.666449i	−0.942848	−	0.333224i	$-0.891863\pi$
$263$		−	10.8080i		−	0.666449i	0.942848	−	0.333224i	$-0.108137\pi$
$264$	6.71698	−	0.790385i	0.413402	−	0.0486449i
$265$	−25.4337	+	20.2827i	−1.56238	+	1.24595i
$266$	−19.8105	−	7.39313i	−1.21466	−	0.453302i
$267$	11.6003	+	9.25096i	0.709929	+	0.566150i
$268$	−1.41357	+	19.7331i	−0.0863473	+	1.20539i
$269$	−2.63026	+	5.46178i	−0.160369	+	0.333011i	−0.965634	−	0.259905i	$-0.916309\pi$
$269$	−2.63026	+	5.46178i	−0.160369	+	0.333011i	0.805265	+	0.592915i	$0.202023\pi$
$270$	−2.99985	+	2.22161i	−0.182565	+	0.135203i
$271$	4.14757	−	5.20089i	0.251947	−	0.315932i	−0.639733	−	0.768597i	$-0.720955\pi$
$271$	4.14757	−	5.20089i	0.251947	−	0.315932i	0.891681	+	0.452665i	$0.149527\pi$
$272$	−2.58077	+	1.51272i	−0.156482	+	0.0917221i
$273$	11.5181	+	1.12111i	0.697107	+	0.0678528i
$274$	−4.27655	−	22.4005i	−0.258356	−	1.35326i
$275$			4.70424i			0.283677i
$276$	−13.3489	+	9.16555i	−0.803509	+	0.551702i
$277$	−17.5646	−	22.0253i	−1.05536	−	1.32337i	−0.944128	−	0.329579i	$-0.893093\pi$
$277$	−17.5646	−	22.0253i	−1.05536	−	1.32337i	−0.111227	−	0.993795i	$-0.535478\pi$
$278$	−5.63405	+	21.1657i	−0.337908	+	1.26943i
$279$	−0.216782	−	0.104397i	−0.0129784	−	0.00625006i
$280$	15.6877	+	12.0027i	0.937521	+	0.717299i
$281$	−3.15435	+	1.51906i	−0.188173	+	0.0906192i	−0.525598	−	0.850733i	$-0.676158\pi$
$281$	−3.15435	+	1.51906i	−0.188173	+	0.0906192i	0.337425	+	0.941352i	$0.390444\pi$
$282$	−0.867530	−	4.54410i	−0.0516606	−	0.270597i
$283$	−17.1181	+	8.24363i	−1.01756	+	0.490033i	−0.866863	−	0.498547i	$-0.833867\pi$
$283$	−17.1181	+	8.24363i	−1.01756	+	0.490033i	−0.150701	+	0.988579i	$0.548153\pi$
$284$	4.13501	+	3.81151i	0.245368	+	0.226172i
$285$	6.47220	−	13.4397i	0.383380	−	0.796097i
$286$	9.62980	−	11.2273i	0.569422	−	0.663885i
$287$	−26.4971	−	16.0938i	−1.56407	−	0.949987i
$288$	4.57895	+	3.32163i	0.269817	+	0.195729i
$289$	−3.65840	+	16.0285i	−0.215200	+	0.942853i
$290$	−3.07294	−	7.01179i	−0.180449	−	0.411746i
$291$	11.2981	+	2.57873i	0.662308	+	0.151168i
$292$	−10.9555	+	19.1203i	−0.641119	+	1.11893i
$293$			17.5315i			1.02420i	0.858925	+	0.512101i	$0.171133\pi$
$293$			17.5315i			1.02420i	−0.858925	+	0.512101i	$0.828867\pi$
$294$	7.77305	−	6.13023i	0.453333	−	0.357522i
$295$			4.36299i			0.254023i
$296$	4.86402	+	7.65696i	0.282715	+	0.445052i
$297$	2.33124	+	0.532091i	0.135272	+	0.0308751i
$298$	−6.59414	+	2.88991i	−0.381988	+	0.167408i
$299$	−7.88019	+	34.5254i	−0.455723	+	1.99665i
$300$	−2.66674	+	2.89308i	−0.153964	+	0.167032i
$301$	26.1020	+	2.54063i	1.50449	+	0.146440i
$302$	−14.0510	−	12.0517i	−0.808546	−	0.693500i
$303$	7.69312	−	15.9749i	0.441958	−	0.917735i
$304$	−22.3743	−	3.22207i	−1.28325	−	0.184798i
$305$	−3.12910	+	1.50690i	−0.179172	+	0.0862846i
$306$	−1.03887	+	0.198334i	−0.0593882	+	0.0113380i
$307$	19.0864	−	9.19152i	1.08932	−	0.524588i	0.199033	−	0.979993i	$-0.436220\pi$
$307$	19.0864	−	9.19152i	1.08932	−	0.524588i	0.890284	+	0.455405i	$0.150506\pi$
$308$	−0.706405	−	12.6333i	−0.0402512	−	0.719848i
$309$	3.17432	+	1.52867i	0.180581	+	0.0869632i
$310$	−0.867951	−	0.231038i	−0.0492963	−	0.0131221i
$311$	−13.1192	−	16.4510i	−0.743922	−	0.932848i	0.255502	−	0.966809i	$-0.417759\pi$
$311$	−13.1192	−	16.4510i	−0.743922	−	0.932848i	−0.999423	+	0.0339604i	$0.989188\pi$
$312$	12.2868	−	1.44578i	0.695602	−	0.0818513i
$313$		−	17.9475i		−	1.01445i	−0.861812	−	0.507227i	$-0.830670\pi$
$313$		−	17.9475i		−	1.01445i	0.861812	−	0.507227i	$-0.169330\pi$
$314$	4.35105	−	0.830673i	0.245544	−	0.0468776i
$315$	3.80480	+	5.85617i	0.214376	+	0.329958i
$316$	0.898417	−	12.5417i	0.0505399	−	0.705526i
$317$	9.83533	−	12.3331i	0.552407	−	0.692697i	−0.424727	−	0.905322i	$-0.639630\pi$
$317$	9.83533	−	12.3331i	0.552407	−	0.692697i	0.977134	+	0.212625i	$0.0682012\pi$
$318$	10.3729	+	14.0065i	0.581681	+	0.785444i
$319$	−2.12774	+	4.41831i	−0.119131	+	0.247378i
$320$	19.1148	+	8.97404i	1.06855	+	0.501664i
$321$	1.40446	+	1.12002i	0.0783890	+	0.0625132i
$322$	15.5858	+	25.9766i	0.868560	+	1.44762i
$323$	3.30429	−	2.63509i	0.183856	−	0.146620i
$324$	1.13207	+	1.64876i	0.0628926	+	0.0915980i
$325$			8.60506i			0.477323i
$326$	−32.6433	+	6.23205i	−1.80795	+	0.345161i
$327$	2.84687	+	12.4730i	0.157432	+	0.689757i
$328$	−31.3360	−	10.7918i	−1.73024	−	0.595877i
$329$	−8.58467	+	1.09938i	−0.473288	+	0.0606109i
$330$	8.92042	+	0.319095i	0.491053	+	0.0175656i
$331$	−21.4744	+	17.1252i	−1.18034	+	0.941288i	−0.999111	−	0.0421528i	$-0.986578\pi$
$331$	−21.4744	+	17.1252i	−1.18034	+	0.941288i	−0.181227	+	0.983441i	$0.558007\pi$
$332$	11.2866	+	6.46693i	0.619431	+	0.354919i
$333$	0.713664	+	3.12676i	0.0391085	+	0.171346i
$334$	11.7369	+	15.8483i	0.642213	+	0.867181i
$335$	−5.81005	+	25.4555i	−0.317437	+	1.39078i
$336$	6.72711	−	8.16982i	0.366994	−	0.445700i
$337$	4.97482	+	21.7961i	0.270996	+	1.18731i	0.908840	+	0.417144i	$0.136969\pi$
$337$	4.97482	+	21.7961i	0.270996	+	1.18731i	−0.637845	+	0.770165i	$0.720174\pi$
$338$	5.64572	−	6.58230i	0.307087	−	0.358030i
$339$	4.66578	−	5.85070i	0.253410	−	0.317766i
$340$	−3.67037	+	1.45446i	−0.199054	+	0.0788791i
$341$	0.249633	+	0.518368i	0.0135184	+	0.0280712i
$342$	−7.07207	−	3.72284i	−0.382414	−	0.201308i
$343$	−10.5566	−	15.2170i	−0.570004	−	0.821642i
$344$	27.8440	−	3.27639i	1.50125	−	0.176651i
$345$	−19.2544	+	9.27242i	−1.03662	+	0.499210i
$346$	13.1911	+	11.3142i	0.709157	+	0.608253i
$347$	−7.49948	−	5.98063i	−0.402593	−	0.321057i	0.401174	−	0.916002i	$-0.368602\pi$
$347$	−7.49948	−	5.98063i	−0.402593	−	0.321057i	−0.803766	+	0.594945i	$0.797174\pi$
$348$	−3.81319	+	1.51105i	−0.204409	+	0.0810010i
$349$	−14.1748	+	3.23530i	−0.758758	+	0.173182i	−0.584361	−	0.811494i	$-0.698655\pi$
$349$	−14.1748	+	3.23530i	−0.758758	+	0.173182i	−0.174397	+	0.984675i	$0.555798\pi$
$350$	5.09679	+	5.31107i	0.272435	+	0.283889i
$351$	4.26434	+	0.973308i	0.227614	+	0.0519513i
$352$	−3.60822	−	13.0365i	−0.192319	−	0.694849i
$353$	26.2175	−	5.98397i	1.39542	−	0.318494i	0.542286	−	0.840194i	$-0.317559\pi$
$353$	26.2175	−	5.98397i	1.39542	−	0.318494i	0.853129	+	0.521700i	$0.174702\pi$
$354$	2.33609	+	0.0835650i	0.124162	+	0.00444143i
$355$	4.62758	+	5.80280i	0.245607	+	0.307981i
$356$	14.7528	−	25.7478i	0.781898	−	1.36463i
$357$	0.251340	+	1.96262i	0.0133023	+	0.103873i
$358$	−16.1894	+	11.9895i	−0.855636	+	0.633664i
$359$	−6.70228	+	1.52975i	−0.353733	+	0.0807372i	−0.395695	−	0.918382i	$-0.629496\pi$
$359$	−6.70228	+	1.52975i	−0.353733	+	0.0807372i	0.0419622	+	0.999119i	$0.486639\pi$
$360$	5.30510	+	5.25304i	0.279604	+	0.276859i
$361$	12.9368			0.680885
$362$	−0.751885	+	1.42831i	−0.0395182	+	0.0750705i
$363$	3.29339	+	4.12978i	0.172858	+	0.216757i
$364$	−1.29216	−	23.1090i	−0.0677278	−	1.21124i
$365$	−18.1332	+	22.7383i	−0.949136	+	1.19018i
$366$	0.746909	+	1.70428i	0.0390415	+	0.0890843i
$367$	−20.4900	−	9.86746i	−1.06957	−	0.515077i	−0.185602	−	0.982625i	$-0.559423\pi$
$367$	−20.4900	−	9.86746i	−1.06957	−	0.515077i	−0.883968	+	0.467548i	$0.845138\pi$
$368$	22.1832	+	23.5947i	1.15638	+	1.22996i
$369$	−9.16115	−	7.30577i	−0.476910	−	0.380323i
$370$	4.80558	+	10.9653i	0.249830	+	0.570058i
$371$	27.3429	−	17.7648i	1.41957	−	0.922305i
$372$	−0.140329	+	0.460304i	−0.00727574	+	0.0238657i
$373$	18.8643			0.976754			0.488377	−	0.872633i	$-0.337589\pi$
$373$	18.8643			0.976754			0.488377	+	0.872633i	$0.337589\pi$
$374$	2.23787	+	1.17805i	0.115718	+	0.0609154i
$375$	6.25854	−	4.99102i	0.323189	−	0.257735i
$376$	−8.71796	+	3.09888i	−0.449594	+	0.159813i
$377$	−3.89210	+	8.08202i	−0.200453	+	0.416245i
$378$	3.20846	−	1.92505i	0.165025	−	0.0990137i
$379$	12.1250	+	25.1779i	0.622822	+	1.29330i	0.938776	+	0.344528i	$0.111961\pi$
$379$	12.1250	+	25.1779i	0.622822	+	1.29330i	−0.315954	+	0.948774i	$0.602325\pi$
$380$	−28.5371	−	8.69990i	−1.46392	−	0.446295i
$381$	0.741525	+	1.53979i	0.0379895	+	0.0788860i
$382$	−27.3256	−	7.27375i	−1.39810	−	0.372158i
$383$	−2.49312	−	1.20062i	−0.127392	−	0.0613490i	0.369102	−	0.929389i	$-0.379665\pi$
$383$	−2.49312	−	1.20062i	−0.127392	−	0.0613490i	−0.496494	+	0.868040i	$0.665380\pi$
$384$	5.17110	−	10.0628i	0.263886	−	0.513515i
$385$	1.61777	−	16.6207i	0.0824494	−	0.847069i
$386$	3.59112	−	13.4909i	0.182783	−	0.686669i
$387$	9.66372	+	2.20568i	0.491235	+	0.112121i
$388$	1.65605	−	23.1181i	0.0840734	−	1.17365i
$389$	−5.62109	+	24.6276i	−0.285001	+	1.24867i	0.606292	+	0.795242i	$0.292656\pi$
$389$	−5.62109	+	24.6276i	−0.285001	+	1.24867i	−0.891293	+	0.453428i	$0.850201\pi$
$390$	16.3173	+	0.583693i	0.826261	+	0.0295565i
$391$	−6.05489			−0.306209
$392$	−14.4850	−	13.4976i	−0.731603	−	0.681731i
$393$	−5.62127			−0.283555
$394$	−1.29607	−	0.0463621i	−0.0652949	−	0.00233569i
$395$	3.69268	−	16.1787i	0.185799	−	0.814038i
$396$	0.341708	−	4.77017i	0.0171715	−	0.239710i
$397$	−19.6796	−	4.49173i	−0.987689	−	0.225434i	−0.301984	−	0.953313i	$-0.597649\pi$
$397$	−19.6796	−	4.49173i	−0.987689	−	0.225434i	−0.685705	+	0.727879i	$0.740506\pi$
$398$	0.195984	−	0.736262i	0.00982380	−	0.0369055i
$399$	−7.76189	+	12.7793i	−0.388581	+	0.639766i
$400$	6.53091	+	4.39007i	0.326545	+	0.219504i
$401$	14.8375	+	7.14538i	0.740951	+	0.356823i	0.765981	−	0.642864i	$-0.222254\pi$
$401$	14.8375	+	7.14538i	0.740951	+	0.356823i	−0.0250300	+	0.999687i	$0.507968\pi$
$402$	13.5184	+	3.59844i	0.674237	+	0.179474i
$403$	0.456631	+	0.948205i	0.0227464	+	0.0472335i
$404$	−33.9204	−	10.3410i	−1.68760	−	0.514486i
$405$	1.14527	+	2.37817i	0.0569087	+	0.118172i
$406$	2.38478	+	7.29355i	0.118355	+	0.361973i
$407$	3.32745	−	6.90951i	0.164935	−	0.342492i
$408$	0.708465	+	1.99309i	0.0350742	+	0.0986728i
$409$	10.5952	−	8.44939i	0.523899	−	0.417795i	−0.325504	−	0.945541i	$-0.605534\pi$
$409$	10.5952	−	8.44939i	0.523899	−	0.417795i	0.849403	+	0.527745i	$0.176962\pi$
$410$	−38.7053	−	20.3750i	−1.91152	−	1.00625i
$411$	−16.1256			−0.795418
$412$	2.05483	−	6.74020i	0.101234	−	0.332066i
$413$	0.423664	−	4.35265i	0.0208472	−	0.214180i
$414$	4.59597	+	10.4870i	0.225880	+	0.515408i
$415$	13.4223	+	10.7039i	0.658874	+	0.525434i
$416$	−6.60020	−	23.8466i	−0.323602	−	1.16917i
$417$	13.9538	+	6.71980i	0.683321	+	0.329070i
$418$	7.67099	+	17.5035i	0.375200	+	0.856126i
$419$	−20.1801	+	25.3051i	−0.985863	+	1.23623i	−0.0141917	+	0.999899i	$0.504518\pi$
$419$	−20.1801	+	25.3051i	−0.985863	+	1.23623i	−0.971672	+	0.236334i	$0.924054\pi$
$420$	10.4168	−	9.30453i	0.508290	−	0.454015i
$421$	−23.6613	−	29.6704i	−1.15318	−	1.44604i	−0.874079	−	0.485783i	$-0.838534\pi$
$421$	−23.6613	−	29.6704i	−1.15318	−	1.44604i	−0.279103	−	0.960261i	$-0.590037\pi$
$422$	−13.7389	+	26.0991i	−0.668801	+	1.27048i
$423$	−3.27120			−0.159051
$424$	24.5268	−	24.7699i	1.19113	−	1.20293i
$425$	−1.43439	+	0.327390i	−0.0695781	+	0.0158807i
$426$	3.19564	−	2.36661i	0.154829	−	0.114663i
$427$	3.26801	−	1.19947i	0.158150	−	0.0580466i
$428$	1.78613	−	3.11729i	0.0863357	−	0.150680i
$429$	−6.52114	−	8.17725i	−0.314844	−	0.394802i
$430$	36.9779	+	1.32275i	1.78323	+	0.0637886i
$431$	3.22583	−	0.736274i	0.155383	−	0.0354651i	−0.144122	−	0.989560i	$-0.546036\pi$
$431$	3.22583	−	0.736274i	0.155383	−	0.0354651i	0.299505	+	0.954095i	$0.403179\pi$
$432$	2.91426	−	2.73991i	0.140212	−	0.131824i
$433$	−9.73502	−	2.22196i	−0.467835	−	0.106780i	−0.0178968	−	0.999840i	$-0.505697\pi$
$433$	−9.73502	−	2.22196i	−0.467835	−	0.106780i	−0.449939	+	0.893059i	$0.648554\pi$
$434$	0.843458	+	0.314772i	0.0404873	+	0.0151095i
$435$	−5.27760	+	1.20458i	−0.253041	+	0.0577551i
$436$	23.7878	−	9.42640i	1.13923	−	0.451443i
$437$	−35.7722	−	28.5274i	−1.71122	−	1.36465i
$438$	11.8275	+	10.1446i	0.565141	+	0.484729i
$439$	1.78933	−	0.861694i	0.0853999	−	0.0411264i	−0.390696	−	0.920520i	$-0.627766\pi$
$439$	1.78933	−	0.861694i	0.0853999	−	0.0411264i	0.476096	+	0.879393i	$0.342051\pi$
$440$	−2.08628	−	17.7299i	−0.0994593	−	0.845241i
$441$	−3.22711	−	6.21174i	−0.153672	−	0.295797i
$442$	4.09354	+	2.15490i	0.194710	+	0.102498i
$443$	−0.971121	−	2.01655i	−0.0461394	−	0.0958094i	0.876625	−	0.481175i	$-0.159790\pi$
$443$	−0.971121	−	2.01655i	−0.0461394	−	0.0958094i	−0.922764	+	0.385365i	$0.874075\pi$
$444$	5.96321	−	2.36304i	0.283002	−	0.112145i
$445$	24.4185	−	30.6199i	1.15755	−	1.45152i
$446$	−12.1519	+	14.1677i	−0.575407	+	0.670862i
$447$	1.13283	+	4.96325i	0.0535810	+	0.234754i
$448$	−18.1980	−	10.8089i	−0.859776	−	0.510671i
$449$	5.83434	−	25.5619i	0.275340	−	1.20634i	−0.628274	−	0.777992i	$-0.716238\pi$
$449$	5.83434	−	25.5619i	0.275340	−	1.20634i	0.903613	−	0.428349i	$-0.140905\pi$
$450$	1.65581	+	2.23584i	0.0780556	+	0.105399i
$451$	6.23480	+	27.3165i	0.293585	+	1.28628i
$452$	−12.9860	−	7.44067i	−0.610811	−	0.349980i
$453$	−10.2339	+	8.16124i	−0.480829	+	0.383449i
$454$	−28.8663	−	1.03259i	−1.35476	−	0.0484617i
$455$	2.95925	−	30.4028i	0.138732	−	1.42531i
$456$	−5.20478	+	15.1131i	−0.243736	+	0.707734i
$457$	7.06795	+	30.9667i	0.330625	+	1.44856i	0.817924	+	0.575326i	$0.195125\pi$
$457$	7.06795	+	30.9667i	0.330625	+	1.44856i	−0.487299	+	0.873235i	$0.662018\pi$
$458$	−0.313359	+	0.0598243i	−0.0146423	+	0.00279541i
$459$			0.747859i			0.0349071i
$460$	24.1931	+	35.2353i	1.12801	+	1.64286i
$461$	−3.31009	+	2.63971i	−0.154166	+	0.122944i	−0.697535	−	0.716550i	$-0.745720\pi$
$461$	−3.31009	+	2.63971i	−0.154166	+	0.122944i	0.543369	+	0.839494i	$0.317149\pi$
$462$	−8.86827	−	1.18455i	−0.412589	−	0.0551101i
$463$	−14.6687	−	11.6979i	−0.681712	−	0.543647i	0.220261	−	0.975441i	$-0.429309\pi$
$463$	−14.6687	−	11.6979i	−0.681712	−	0.543647i	−0.901972	+	0.431794i	$0.857881\pi$
$464$	4.14830	+	7.07718i	0.192580	+	0.328550i
$465$	−0.275562	+	0.572210i	−0.0127789	+	0.0265356i
$466$	1.08270	+	1.46197i	0.0501550	+	0.0677243i
$467$	3.58845	−	4.49977i	0.166054	−	0.208225i	−0.691842	−	0.722049i	$-0.743200\pi$
$467$	3.58845	−	4.49977i	0.166054	−	0.208225i	0.857895	+	0.513825i	$0.171772\pi$
$468$	0.625057	−	8.72565i	0.0288933	−	0.403343i
$469$	8.26810	−	24.8309i	0.381785	−	1.14659i
$470$	−11.9945	+	2.28990i	−0.553263	+	0.105625i
$471$		−	3.13222i		−	0.144325i
$472$	−0.546356	−	4.64313i	−0.0251481	−	0.213717i
$473$	−14.7780	−	18.5311i	−0.679494	−	0.852059i
$474$	−8.59186	−	2.28705i	−0.394637	−	0.105048i
$475$	−10.0168	−	4.82385i	−0.459604	−	0.221333i
$476$	3.80290	−	1.09460i	0.174306	−	0.0501709i
$477$	11.1038	−	5.34732i	0.508409	−	0.244837i
$478$	−14.5619	+	2.78006i	−0.666046	+	0.127157i
$479$	−16.9367	+	8.15627i	−0.773856	+	0.372669i	−0.778763	−	0.627319i	$-0.784152\pi$
$479$	−16.9367	+	8.15627i	−0.773856	+	0.372669i	0.00490686	+	0.999988i	$0.498438\pi$
$480$	8.76767	−	12.0864i	0.400188	−	0.551668i
$481$	6.08661	−	12.6390i	0.277525	−	0.576287i
$482$	14.4082	+	12.3581i	0.656276	+	0.562896i
$483$	20.1091	−	7.38074i	0.914995	−	0.335836i
$484$	7.16010	−	7.76781i	0.325459	−	0.353082i
$485$	6.80672	−	29.8222i	0.309077	−	1.35416i
$486$	1.29528	−	0.567663i	0.0587552	−	0.0257497i
$487$	17.0498	+	3.89151i	0.772601	+	0.176341i	0.590608	−	0.806959i	$-0.298888\pi$
$487$	17.0498	+	3.89151i	0.772601	+	0.176341i	0.181993	+	0.983300i	$0.441745\pi$
$488$	3.14131	−	1.99549i	0.142200	−	0.0903316i
$489$			23.4992i			1.06267i
$490$	−16.1812	−	20.5175i	−0.730990	−	0.926885i
$491$			35.5537i			1.60451i	0.596979	+	0.802257i	$0.296368\pi$
$491$			35.5537i			1.60451i	−0.596979	+	0.802257i	$0.703632\pi$
$492$	−11.6508	+	20.3338i	−0.525257	+	0.916719i
$493$	−1.49528	−	0.341288i	−0.0673441	−	0.0153709i
$494$	14.0319	+	32.0177i	0.631323	+	1.44054i
$495$	1.40449	−	6.15347i	0.0631271	−	0.276578i
$496$	0.952612	+	0.137183i	0.0427735	+	0.00615972i
$497$	−4.05313	−	6.23840i	−0.181808	−	0.279830i
$498$	5.98830	−	6.98171i	0.268342	−	0.312858i
$499$	−10.2078	+	21.1968i	−0.456965	+	0.948898i	0.537443	+	0.843300i	$0.319390\pi$
$499$	−10.2078	+	21.1968i	−0.456965	+	0.948898i	−0.994409	+	0.105599i	$0.966324\pi$
$500$	−11.7719	−	10.8509i	−0.526453	−	0.485266i
$501$	12.5640	−	6.05048i	0.561316	−	0.270316i
$502$	−2.17479	−	11.3915i	−0.0970655	−	0.508427i
$503$	4.75069	−	2.28781i	0.211823	−	0.102008i	−0.324964	−	0.945726i	$-0.605352\pi$
$503$	4.75069	−	2.28781i	0.211823	−	0.102008i	0.536787	+	0.843718i	$0.319638\pi$
$504$	−4.78243	−	5.75572i	−0.213026	−	0.256380i
$505$	−42.1669	−	20.3065i	−1.87640	−	0.903627i
$506$	7.04271	−	26.4576i	0.313087	−	1.17619i
$507$	−3.82319	−	4.79413i	−0.169794	−	0.212915i
$508$	2.81781	−	1.93475i	0.125020	−	0.0858406i
$509$			4.10916i			0.182135i	0.995845	+	0.0910676i	$0.0290279\pi$
$509$			4.10916i			0.182135i	−0.995845	+	0.0910676i	$0.970972\pi$
$510$	0.523516	+	2.74217i	0.0231817	+	0.121425i
$511$	20.2982	−	20.9236i	0.897939	−	0.925605i
$512$	−21.4659	−	7.15659i	−0.948666	−	0.316279i
$513$	−3.52351	+	4.41834i	−0.155567	+	0.195074i
$514$	−31.0487	+	22.9939i	−1.36950	+	1.01422i
$515$	4.03504	−	8.37884i	0.177805	−	0.369216i
$516$	1.41648	−	19.7738i	0.0623573	−	0.870494i
$517$	6.11554	+	4.87698i	0.268961	+	0.214489i
$518$	−3.72941	−	11.4059i	−0.163861	−	0.501148i
$519$	9.60754	−	7.66176i	0.421724	−	0.336314i
$520$	−3.81624	−	32.4318i	−0.167353	−	1.42223i
$521$			3.57020i			0.156413i	0.996937	+	0.0782067i	$0.0249194\pi$
$521$			3.57020i			0.156413i	−0.996937	+	0.0782067i	$0.975081\pi$
$522$	0.543887	+	2.84887i	0.0238053	+	0.124692i
$523$	0.550000	+	2.40971i	0.0240498	+	0.105369i	0.985528	−	0.169511i	$-0.0542189\pi$
$523$	0.550000	+	2.40971i	0.0240498	+	0.105369i	−0.961478	+	0.274880i	$0.911362\pi$
$524$	1.71215	+	11.1114i	0.0747957	+	0.485404i
$525$	4.36471	−	2.83578i	0.190492	−	0.123764i
$526$	−0.546408	+	15.2750i	−0.0238245	+	0.666023i
$527$	−0.140684	+	0.112192i	−0.00612831	+	0.00488716i
$528$	−9.53313	+	0.777476i	−0.414876	+	0.0338353i
$529$	9.46829	+	41.4833i	0.411665	+	1.80362i
$530$	36.9711	−	27.3799i	1.60592	−	1.18931i
$531$	0.367809	−	1.61148i	0.0159616	−	0.0699322i
$532$	27.6246	+	11.4503i	1.19768	+	0.496435i
$533$	11.4048	+	49.9676i	0.493996	+	2.16434i
$534$	−15.9272	−	13.6609i	−0.689237	−	0.591167i
$535$	2.95636	−	3.70715i	0.127814	−	0.160274i
$536$	2.99543	−	27.8175i	0.129383	−	1.20153i
$537$	6.18071	+	12.8344i	0.266717	+	0.553844i
$538$	3.99349	−	7.58621i	0.172172	−	0.327065i
$539$	−3.22787	+	16.4242i	−0.139034	+	0.707440i
$540$	4.35203	−	2.98817i	0.187281	−	0.128590i
$541$	2.51848	−	1.21284i	0.108278	−	0.0521439i	−0.378961	−	0.925413i	$-0.623718\pi$
$541$	2.51848	−	1.21284i	0.108278	−	0.0521439i	0.487239	+	0.873269i	$0.338004\pi$
$542$	−6.12474	+	7.14079i	−0.263080	+	0.306723i
$543$	0.892353	+	0.711627i	0.0382945	+	0.0305389i
$544$	3.72390	−	2.00747i	0.159661	−	0.0860695i
$545$	32.9232	−	7.51451i	1.41028	−	0.321886i
$546$	−16.2220	−	2.16679i	−0.694236	−	0.0927300i
$547$	13.4255	+	3.06428i	0.574032	+	0.131019i	0.499676	−	0.866213i	$-0.333453\pi$
$547$	13.4255	+	3.06428i	0.574032	+	0.131019i	0.0743567	+	0.997232i	$0.476310\pi$
$548$	4.91162	+	31.8750i	0.209814	+	1.36163i
$549$	1.28277	−	0.292784i	0.0547474	−	0.0124957i
$550$	0.237828	−	6.64855i	0.0101410	−	0.283495i
$551$	−7.22614	−	9.06129i	−0.307844	−	0.386024i
$552$	19.3295	−	12.2789i	0.822718	−	0.522625i
$553$	−5.25494	+	15.7817i	−0.223463	+	0.671108i
$554$	23.7107	+	32.0166i	1.00737	+	1.36026i
$555$	8.25331	−	1.88376i	0.350333	−	0.0799613i
$556$	9.03272	−	29.6288i	0.383072	−	1.25654i
$557$	−12.1343			−0.514147			−0.257074	−	0.966392i	$-0.582758\pi$
$557$	−12.1343			−0.514147			−0.257074	+	0.966392i	$0.582758\pi$
$558$	0.301102	+	0.158504i	0.0127467	+	0.00671003i
$559$	−27.0321	−	33.8972i	−1.14334	−	1.43370i
$560$	−21.5648	−	17.7567i	−0.911279	−	0.750356i
$561$	1.11497	−	1.39813i	0.0470742	−	0.0590291i
$562$	4.53487	−	1.98742i	0.191292	−	0.0838344i
$563$	−28.9502	−	13.9417i	−1.22010	−	0.587571i	−0.290763	−	0.956795i	$-0.593909\pi$
$563$	−28.9502	−	13.9417i	−1.22010	−	0.587571i	−0.929340	+	0.369224i	$0.879624\pi$
$564$	0.996357	+	6.46608i	0.0419542	+	0.272271i
$565$	−15.4433	−	12.3156i	−0.649705	−	0.518122i
$566$	24.6099	−	10.7854i	1.03443	−	0.453343i
$567$	−0.911619	−	2.48374i	−0.0382844	−	0.104307i
$568$	−5.65136	−	5.59590i	−0.237126	−	0.234799i
$569$	45.2933			1.89880			0.949398	−	0.314077i	$-0.101695\pi$
$569$	45.2933			1.89880			0.949398	+	0.314077i	$0.101695\pi$
$570$	−9.82668	+	18.6672i	−0.411594	+	0.781883i
$571$	11.3592	−	9.05862i	0.475366	−	0.379092i	−0.356297	−	0.934373i	$-0.615961\pi$
$571$	11.3592	−	9.05862i	0.475366	−	0.379092i	0.831663	+	0.555281i	$0.187389\pi$
$572$	−14.1775	+	15.3808i	−0.592791	+	0.643104i
$573$	−8.67549	+	18.0148i	−0.362424	+	0.752580i
$574$	36.6350	+	24.0851i	1.52911	+	1.00529i
$575$	6.91090	+	14.3506i	0.288205	+	0.598463i
$576$	−6.30354	−	4.92599i	−0.262648	−	0.205250i
$577$	9.47811	+	19.6815i	0.394579	+	0.819351i	0.999730	+	0.0232407i	$0.00739842\pi$
$577$	9.47811	+	19.6815i	0.394579	+	0.819351i	−0.605151	+	0.796111i	$0.706887\pi$
$578$	5.98079	−	22.4683i	0.248768	−	0.934557i
$579$	−8.89408	−	4.28317i	−0.369626	−	0.178002i
$580$	3.98853	+	10.0652i	0.165615	+	0.417934i
$581$	−12.3511	−	11.9819i	−0.512408	−	0.497092i
$582$	−15.8374	−	4.21573i	−0.656481	−	0.174747i
$583$	−28.7310	−	6.55766i	−1.18992	−	0.271591i
$584$	16.4501	−	26.4690i	0.680710	−	1.09530i
$585$	2.56911	−	11.2560i	0.106220	−	0.465379i
$586$	0.886324	−	24.7775i	0.0366137	−	1.02355i
$587$	35.3839			1.46045			0.730225	−	0.683207i	$-0.239415\pi$
$587$	35.3839			1.46045			0.730225	+	0.683207i	$0.239415\pi$
$588$	−11.2956	+	8.27094i	−0.465824	+	0.341088i
$589$	−1.35975			−0.0560275
$590$	0.220576	−	6.16626i	0.00908095	−	0.253861i
$591$	−0.204061	+	0.894051i	−0.00839396	+	0.0367764i
$592$	−6.48726	−	11.0676i	−0.266625	−	0.454874i
$593$	3.91211	+	0.892914i	0.160651	+	0.0366676i	0.302090	−	0.953279i	$-0.402316\pi$
$593$	3.91211	+	0.892914i	0.160651	+	0.0366676i	−0.141439	+	0.989947i	$0.545173\pi$
$594$	−3.26787	−	0.869868i	−0.134082	−	0.0356911i
$595$	5.18047	−	0.663429i	0.212379	−	0.0271979i
$596$	9.46567	−	3.75096i	0.387729	−	0.153645i
$597$	−0.485392	−	0.233753i	−0.0198658	−	0.00956685i
$598$	12.8826	−	48.3967i	0.526809	−	1.97909i
$599$	−0.793069	−	1.64683i	−0.0324039	−	0.0672875i	0.884139	−	0.467225i	$-0.154746\pi$
$599$	−0.793069	−	1.64683i	−0.0324039	−	0.0672875i	−0.916542	+	0.399937i	$0.869032\pi$
$600$	3.91519	−	3.95399i	0.159837	−	0.161421i
$601$	−19.2202	−	39.9111i	−0.784007	−	1.62801i	−0.778194	−	0.628024i	$-0.783864\pi$
$601$	−19.2202	−	39.9111i	−0.784007	−	1.62801i	−0.00581301	−	0.999983i	$-0.501850\pi$
$602$	−36.7617	−	4.91031i	−1.49830	−	0.200129i
$603$	4.29190	−	8.91222i	0.174780	−	0.362934i
$604$	19.2492	+	17.7432i	0.783238	+	0.721961i
$605$	10.9008	−	8.69312i	0.443182	−	0.353426i
$606$	−11.6804	+	22.1886i	−0.474483	+	0.901349i
$607$	5.42979			0.220388			0.110194	−	0.993910i	$-0.464853\pi$
$607$	5.42979			0.220388			0.110194	+	0.993910i	$0.464853\pi$
$608$	31.4589	+	5.68493i	1.27583	+	0.230554i
$609$	5.38205	−	0.689244i	0.218092	−	0.0279296i
$610$	4.49857	−	1.97152i	0.182142	−	0.0798243i
$611$	11.1866	+	8.92104i	0.452562	+	0.360907i
$612$	1.47827	−	0.227786i	0.0597556	−	0.00920772i
$613$	42.0070	+	20.2295i	1.69665	+	0.817061i	0.994466	+	0.105062i	$0.0335040\pi$
$613$	42.0070	+	20.2295i	1.69665	+	0.817061i	0.702180	+	0.712000i	$0.252210\pi$
$614$	−27.4396	+	12.0255i	−1.10737	+	0.485311i
$615$	−19.2841	+	24.1815i	−0.777609	+	0.975091i
$616$	0.359681	+	17.8905i	0.0144919	+	0.720827i
$617$	−3.14118	−	3.93891i	−0.126459	−	0.158575i	0.714571	−	0.699563i	$-0.246622\pi$
$617$	−3.14118	−	3.93891i	−0.126459	−	0.158575i	−0.841030	+	0.540988i	$0.818050\pi$
$618$	−4.40902	−	2.32097i	−0.177357	−	0.0933631i
$619$	−13.9091			−0.559053			−0.279526	−	0.960138i	$-0.590177\pi$
$619$	−13.9091			−0.559053			−0.279526	+	0.960138i	$0.590177\pi$
$620$	1.21500	+	0.370409i	0.0487957	+	0.0148760i
$621$	7.89331	−	1.80160i	0.316748	−	0.0722956i
$622$	17.7098	+	23.9136i	0.710098	+	0.958846i
$623$	−27.3339	+	28.1761i	−1.09511	+	1.12885i
$624$	−17.4381	+	1.42217i	−0.698084	+	0.0569323i
$625$	−19.3071	−	24.2104i	−0.772286	−	0.968416i
$626$	−0.907356	+	25.3654i	−0.0362652	+	1.01381i
$627$	13.1745	−	3.00699i	0.526138	−	0.120088i
$628$	−6.19137	+	0.954026i	−0.247063	+	0.0380698i
$629$	2.33838	+	0.533720i	0.0932373	+	0.0212808i
$630$	−5.08129	−	8.46894i	−0.202443	−	0.337411i
$631$	−37.5419	+	8.56869i	−1.49452	+	0.341114i	−0.890178	−	0.455613i	$-0.849420\pi$
$631$	−37.5419	+	8.56869i	−1.49452	+	0.341114i	−0.604340	+	0.796727i	$0.706563\pi$
$632$	−1.90380	+	17.6799i	−0.0757291	+	0.703268i
$633$	16.3056	+	13.0033i	0.648091	+	0.516835i
$634$	−14.5239	+	16.9333i	−0.576817	+	0.672506i
$635$	4.06439	−	1.95731i	0.161290	−	0.0776733i
$636$	−13.9520	−	20.3199i	−0.553231	−	0.805737i
$637$	−5.90447	+	30.0433i	−0.233943	+	1.19036i
$638$	3.23053	−	6.13686i	0.127898	−	0.242961i
$639$	−1.22002	−	2.53339i	−0.0482631	−	0.100219i
$640$	−26.5614	−	13.6495i	−1.04993	−	0.539542i
$641$	−3.99746	+	5.01266i	−0.157890	+	0.197988i	−0.854484	−	0.519478i	$-0.826127\pi$
$641$	−3.99746	+	5.01266i	−0.157890	+	0.197988i	0.696594	+	0.717466i	$0.254698\pi$
$642$	−1.92831	−	1.65393i	−0.0761042	−	0.0652755i
$643$	10.5471	+	46.2097i	0.415936	+	1.82233i	0.554754	+	0.832015i	$0.312813\pi$
$643$	10.5471	+	46.2097i	0.415936	+	1.82233i	−0.138818	+	0.990318i	$0.544330\pi$
$644$	−20.7142	−	37.5010i	−0.816255	−	1.47775i
$645$	5.82205	−	25.5080i	0.229243	−	1.00438i
$646$	−4.80321	+	3.55714i	−0.188980	+	0.139954i
$647$	5.09918	+	22.3410i	0.200470	+	0.878315i	0.970652	+	0.240490i	$0.0773083\pi$
$647$	5.09918	+	22.3410i	0.200470	+	0.878315i	−0.770182	+	0.637824i	$0.779835\pi$
$648$	−1.51661	−	2.38745i	−0.0595779	−	0.0937878i
$649$	−3.09015	+	2.46432i	−0.121299	+	0.0967328i
$650$	0.435038	−	12.1616i	0.0170636	−	0.477018i
$651$	0.330472	−	0.544095i	0.0129522	−	0.0213248i
$652$	46.4502	−	7.15750i	1.81913	−	0.280309i
$653$	2.71804	+	11.9085i	0.106365	+	0.466015i	0.999857	+	0.0169355i	$0.00539098\pi$
$653$	2.71804	+	11.9085i	0.106365	+	0.466015i	−0.893492	+	0.449080i	$0.851752\pi$
$654$	−3.39293	−	17.7721i	−0.132674	−	0.694944i
$655$			14.8377i			0.579758i
$656$	43.7419	+	16.8364i	1.70783	+	0.657350i
$657$	8.61442	−	6.86977i	0.336080	−	0.268015i
$658$	12.1884	−	1.11976i	0.475152	−	0.0436528i
$659$	−8.46957	−	6.75426i	−0.329928	−	0.263108i	0.444489	−	0.895784i	$-0.353385\pi$
$659$	−8.46957	−	6.75426i	−0.329928	−	0.263108i	−0.774417	+	0.632676i	$0.781957\pi$
$660$	−12.5912	−	0.901961i	−0.490111	−	0.0351088i
$661$	13.9357	−	28.9378i	0.542036	−	1.12555i	−0.432566	−	0.901602i	$-0.642392\pi$
$661$	13.9357	−	28.9378i	0.542036	−	1.12555i	0.974601	−	0.223946i	$-0.0718941\pi$
$662$	31.2157	−	23.1176i	1.21323	−	0.898491i
$663$	2.03952	−	2.55748i	0.0792084	−	0.0993243i
$664$	−15.6245	−	9.71038i	−0.606348	−	0.376836i
$665$	33.7318	+	20.4880i	1.30806	+	0.794492i
$666$	−0.850551	−	4.45517i	−0.0329582	−	0.172634i
$667$			16.6042i			0.642917i
$668$	−15.7866	−	22.9919i	−0.610802	−	0.889584i
$669$	8.22903	+	10.3189i	0.318153	+	0.398951i
$670$	9.49833	−	35.6828i	0.366952	−	1.37855i
$671$	−2.83467	−	1.36510i	−0.109431	−	0.0526992i
$672$	−9.92052	+	11.2064i	−0.382692	+	0.432296i
$673$	−21.4151	+	10.3130i	−0.825493	+	0.397536i	−0.798423	−	0.602097i	$-0.794332\pi$
$673$	−21.4151	+	10.3130i	−0.825493	+	0.397536i	−0.0270699	+	0.999634i	$0.508618\pi$
$674$	−5.92904	−	31.0562i	−0.228378	−	1.19624i
$675$	1.77249	−	0.853588i	0.0682233	−	0.0328546i
$676$	−8.31193	+	9.01741i	−0.319690	+	0.346823i
$677$	−15.7669	+	32.7403i	−0.605970	+	1.25831i	0.341924	+	0.939727i	$0.388921\pi$
$677$	−15.7669	+	32.7403i	−0.605970	+	1.25831i	−0.947895	+	0.318583i	$0.896793\pi$
$678$	−6.88997	+	8.03296i	−0.264608	+	0.308504i
$679$	−9.68643	+	29.0905i	−0.371731	+	1.11639i
$680$	5.26090	−	1.87004i	0.201746	−	0.0717128i
$681$	−4.54490	+	19.9125i	−0.174161	+	0.763049i
$682$	−0.326602	−	0.745235i	−0.0125062	−	0.0285365i
$683$	4.47652	+	1.02174i	0.171289	+	0.0390956i	0.307305	−	0.951611i	$-0.400573\pi$
$683$	4.47652	+	1.02174i	0.171289	+	0.0390956i	−0.136016	+	0.990707i	$0.543430\pi$
$684$	9.80681	+	5.61906i	0.374973	+	0.214850i
$685$			42.5647i			1.62631i
$686$	14.1505	+	22.0401i	0.540267	+	0.841494i
$687$			0.225580i			0.00860641i
$688$	−39.5178	+	3.22288i	−1.50660	+	0.122871i
$689$	−52.5551	−	11.9954i	−2.00219	−	0.456987i
$690$	27.6812	−	12.1314i	1.05380	−	0.461833i
$691$	9.72102	−	42.5906i	0.369805	−	1.62022i	−0.357504	−	0.933912i	$-0.616372\pi$
$691$	9.72102	−	42.5906i	0.369805	−	1.62022i	0.727309	−	0.686310i	$-0.240771\pi$
$692$	−18.0711	−	16.6573i	−0.686960	−	0.633215i
$693$	−1.99869	+	6.00250i	−0.0759238	+	0.228016i
$694$	10.2967	+	8.83163i	0.390858	+	0.335244i
$695$	17.7374	−	36.8320i	0.672817	−	1.39712i
$696$	5.46561	−	1.94281i	0.207174	−	0.0736419i
$697$	−7.89526	+	3.80216i	−0.299054	+	0.144017i
$698$	20.1969	−	3.85586i	0.764464	−	0.145946i
$699$	1.15899	−	0.558142i	0.0438372	−	0.0211109i
$700$	−6.93484	−	7.76387i	−0.262112	−	0.293447i
$701$	12.1120	+	5.83283i	0.457464	+	0.220303i	0.648401	−	0.761299i	$-0.275438\pi$
$701$	12.1120	+	5.83283i	0.457464	+	0.220303i	−0.190937	+	0.981602i	$0.561153\pi$
$702$	−5.97763	−	1.59117i	−0.225611	−	0.0600550i
$703$	11.3005	+	14.1704i	0.426207	+	0.534446i
$704$	4.44046	+	18.6071i	0.167356	+	0.701280i
$705$			8.63455i			0.325196i
$706$	−37.3559	+	7.13175i	−1.40591	+	0.268407i
$707$	40.0950	+	24.3529i	1.50793	+	0.915885i
$708$	−3.29739	−	0.236207i	−0.123924	−	0.00887718i
$709$	2.42715	−	3.04355i	0.0911534	−	0.114303i	−0.734163	−	0.678973i	$-0.762425\pi$
$709$	2.42715	−	3.04355i	0.0911534	−	0.114303i	0.825317	+	0.564670i	$0.190997\pi$
$710$	−6.24684	−	8.43511i	−0.234440	−	0.316564i
$711$	−2.72779	+	5.66432i	−0.102300	+	0.212429i
$712$	−22.1520	+	35.6437i	−0.830182	+	1.33580i
$713$	1.52305	+	1.21459i	0.0570385	+	0.0454867i
$714$	−0.255999	−	2.78650i	−0.00958052	−	0.104282i
$715$	−21.5844	+	17.2130i	−0.807211	+	0.643730i
$716$	23.4868	−	16.1264i	0.877742	−	0.602671i
$717$			10.4828i			0.391487i
$718$	9.54973	−	1.82317i	0.356393	−	0.0680402i
$719$	3.97257	+	17.4050i	0.148152	+	0.649096i	0.993398	+	0.114719i	$0.0365966\pi$
$719$	3.97257	+	17.4050i	0.148152	+	0.649096i	−0.845246	+	0.534377i	$0.820546\pi$
$720$	−7.23218	−	7.69237i	−0.269528	−	0.286678i
$721$	−4.83909	+	7.96715i	−0.180217	+	0.296712i
$722$	−18.2837	−	0.654033i	−0.680450	−	0.0243406i
$723$	10.4940	−	8.36870i	0.390277	−	0.311235i
$724$	1.13486	−	1.98064i	0.0421766	−	0.0736098i
$725$	0.897794	+	3.93349i	0.0333432	+	0.146086i
$726$	−4.44579	−	6.00316i	−0.164999	−	0.222798i
$727$	3.13918	−	13.7536i	0.116426	−	0.510094i	−0.882763	−	0.469819i	$-0.844319\pi$
$727$	3.13918	−	13.7536i	0.116426	−	0.510094i	0.999189	−	0.0402754i	$-0.0128235\pi$
$728$	0.657932	+	32.7254i	0.0243846	+	1.21289i
$729$	−0.222521	−	0.974928i	−0.00824152	−	0.0361084i
$730$	26.7774	−	31.2196i	0.991076	−	1.15549i
$731$	4.62190	−	5.79568i	0.170947	−	0.214361i
$732$	−0.969451	−	2.44644i	−0.0358320	−	0.0904231i
$733$	−21.6721	−	45.0026i	−0.800477	−	1.66221i	−0.748104	−	0.663581i	$-0.769036\pi$
$733$	−21.6721	−	45.0026i	−0.800477	−	1.66221i	−0.0523730	−	0.998628i	$-0.516678\pi$
$734$	28.4599	+	14.9817i	1.05047	+	0.552984i
$735$	−16.3963	+	8.51818i	−0.604787	+	0.314198i
$736$	−30.1588	−	34.4681i	−1.11167	−	1.27051i
$737$	−21.3109	+	10.2628i	−0.784996	+	0.378034i
$738$	12.5782	+	10.7885i	0.463010	+	0.397129i
$739$	19.0718	+	15.2093i	0.701567	+	0.559481i	0.907995	−	0.418980i	$-0.137612\pi$
$739$	19.0718	+	15.2093i	0.701567	+	0.559481i	−0.206428	+	0.978462i	$0.566184\pi$
$740$	−6.23741	−	15.7403i	−0.229292	−	0.578625i
$741$	24.0989	−	5.50042i	0.885296	−	0.202063i
$742$	−39.5421	+	23.7249i	−1.45163	+	0.870968i
$743$	−15.9092	−	3.63118i	−0.583654	−	0.133215i	−0.0795086	−	0.996834i	$-0.525335\pi$
$743$	−15.9092	−	3.63118i	−0.583654	−	0.133215i	−0.504145	+	0.863619i	$0.668192\pi$
$744$	0.221600	−	0.643458i	0.00812425	−	0.0235903i
$745$	13.1008	−	2.99018i	0.479977	−	0.109552i
$746$	−26.6610	−	0.953702i	−0.976130	−	0.0349175i
$747$	−4.05518	−	5.08503i	−0.148371	−	0.186052i
$748$	−3.10325	−	1.77808i	−0.113466	−	0.0650132i
$749$	−3.30932	+	3.41129i	−0.120920	+	0.124646i
$750$	−9.09758	+	6.73744i	−0.332196	+	0.246017i
$751$	−48.0662	+	10.9708i	−1.75396	+	0.400330i	−0.974189	−	0.225733i	$-0.927522\pi$
$751$	−48.0662	+	10.9708i	−1.75396	+	0.400330i	−0.779772	+	0.626063i	$0.784665\pi$
$752$	12.4778	−	3.93894i	0.455020	−	0.143638i
$753$	−8.20048			−0.298842
$754$	5.90933	−	11.2256i	0.215205	−	0.408813i
$755$	21.5422	+	27.0130i	0.783999	+	0.983104i
$756$	−4.63187	+	2.55848i	−0.168459	+	0.0930510i
$757$	5.16090	−	6.47157i	0.187576	−	0.235213i	−0.679147	−	0.734002i	$-0.737650\pi$
$757$	5.16090	−	6.47157i	0.187576	−	0.235213i	0.866724	+	0.498789i	$0.166222\pi$
$758$	−15.8635	−	36.1972i	−0.576190	−	1.31474i
$759$	−17.4426	−	8.39992i	−0.633127	−	0.304898i
$760$	39.8920	+	13.7384i	1.44703	+	0.498343i
$761$	31.0552	+	24.7657i	1.12575	+	0.897754i	0.995597	−	0.0937398i	$-0.0298822\pi$
$761$	31.0552	+	24.7657i	1.12575	+	0.897754i	0.130152	+	0.991494i	$0.458454\pi$
$762$	−0.970159	−	2.21369i	−0.0351452	−	0.0801937i
$763$	−33.5748	+	4.29971i	−1.21549	+	0.155660i
$764$	38.2518	+	11.6615i	1.38390	+	0.421900i
$765$	1.97402			0.0713710
$766$	3.46285	+	1.82289i	0.125118	+	0.0658638i
$767$	−5.65255	+	4.50776i	−0.204102	+	0.162766i
$768$	−7.81710	+	13.9604i	−0.282075	+	0.503753i
$769$	−7.63740	+	15.8592i	−0.275412	+	0.571898i	−0.992093	−	0.125502i	$-0.959946\pi$
$769$	−7.63740	+	15.8592i	−0.275412	+	0.571898i	0.716682	+	0.697400i	$0.245660\pi$
$770$	−3.12669	+	23.4084i	−0.112678	+	0.843580i
$771$	11.8536	+	24.6143i	0.426897	+	0.886461i
$772$	−5.75741	+	18.8853i	−0.207214	+	0.679696i
$773$	−13.7267	−	28.5037i	−0.493714	−	1.02521i	−0.987790	−	0.155789i	$-0.950208\pi$
$773$	−13.7267	−	28.5037i	−0.493714	−	1.02521i	0.494076	−	0.869418i	$-0.335506\pi$
$774$	−13.5463	−	3.60587i	−0.486912	−	0.129610i
$775$	0.426479	+	0.205381i	0.0153196	+	0.00737752i
$776$	−3.50928	+	32.5894i	−0.125976	+	1.16989i
$777$	−8.41665	+	1.07787i	−0.301946	+	0.0386682i
$778$	9.18942	−	34.5223i	0.329457	−	1.23768i
$779$	−64.5588	−	14.7351i	−2.31306	−	0.527940i
$780$	−23.0319	−	1.64988i	−0.824676	−	0.0590752i
$781$	−1.49616	+	6.55510i	−0.0535368	+	0.234560i
$782$	8.55744	+	0.306111i	0.306013	+	0.0109465i
$783$	2.05084			0.0732909
$784$	19.7894	+	19.8086i	0.706765	+	0.707449i
$785$	−8.26771			−0.295087
$786$	7.94459	+	0.284189i	0.283374	+	0.0101367i
$787$	−3.67981	+	16.1223i	−0.131171	+	0.574698i	0.866034	+	0.499985i	$0.166661\pi$
$787$	−3.67981	+	16.1223i	−0.131171	+	0.574698i	−0.997205	+	0.0747127i	$0.976196\pi$
$788$	1.82940	+	0.131048i	0.0651696	+	0.00466839i
$789$	10.5370	+	2.40500i	0.375127	+	0.0856203i
$790$	−6.03683	+	22.6788i	−0.214781	+	0.806876i
$791$	14.2108	+	13.7860i	0.505277	+	0.490175i
$792$	−0.724100	+	6.72445i	−0.0257298	+	0.238943i
$793$	−5.18521	−	2.49706i	−0.184132	−	0.0886734i
$794$	27.5862	+	7.34313i	0.978999	+	0.260598i
$795$	−14.1146	−	29.3093i	−0.500594	−	1.03949i
$796$	−0.314209	+	1.03066i	−0.0111368	+	0.0365307i
$797$	6.44658	+	13.3865i	0.228350	+	0.474173i	0.983390	−	0.181506i	$-0.0580970\pi$
$797$	6.44658	+	13.3865i	0.228350	+	0.474173i	−0.755040	+	0.655678i	$0.772383\pi$
$798$	11.6160	−	17.6687i	0.411203	−	0.625465i
$799$	−1.06145	+	2.20412i	−0.0375514	+	0.0779763i
$800$	−9.00825	−	6.53471i	−0.318490	−	0.231037i
$801$	−11.6003	+	9.25096i	−0.409878	+	0.326867i
$802$	−20.6088	−	10.8488i	−0.727721	−	0.383083i
$803$	−26.3468			−0.929758
$804$	−18.9238	−	5.76915i	−0.667390	−	0.203462i
$805$	−19.4820	−	53.0793i	−0.686649	−	1.87080i
$806$	−0.597424	−	1.36319i	−0.0210434	−	0.0480164i
$807$	−4.73956	−	3.77967i	−0.166840	−	0.133051i
$808$	47.4172	+	16.3300i	1.66813	+	0.574486i
$809$	36.9283	+	17.7837i	1.29833	+	0.625242i	0.950035	−	0.312143i	$-0.101047\pi$
$809$	36.9283	+	17.7837i	1.29833	+	0.625242i	0.348294	+	0.937385i	$0.386761\pi$
$810$	−1.49838	−	3.41899i	−0.0526479	−	0.120131i
$811$	−14.2306	+	17.8446i	−0.499703	+	0.626607i	−0.966162	−	0.257935i	$-0.916958\pi$
$811$	−14.2306	+	17.8446i	−0.499703	+	0.626607i	0.466460	+	0.884543i	$0.345529\pi$
$812$	−3.00170	−	10.4286i	−0.105339	−	0.365972i
$813$	4.14757	+	5.20089i	0.145462	+	0.182403i
$814$	−5.05203	+	9.59706i	−0.177074	+	0.336377i
$815$	62.0277			2.17274
$816$	−0.900517	−	2.85267i	−0.0315244	−	0.0998636i
$817$	54.6123	−	12.4649i	1.91064	−	0.436091i
$818$	−15.4015	+	11.4060i	−0.538500	+	0.398800i
$819$	−3.65602	+	10.9798i	−0.127752	+	0.383667i
$820$	53.6725	+	30.7530i	1.87432	+	1.07394i
$821$	−0.0238844	−	0.0299501i	−0.000833572	−	0.00104527i	0.781415	−	0.624012i	$-0.214498\pi$
$821$	−0.0238844	−	0.0299501i	−0.000833572	−	0.00104527i	−0.782248	+	0.622967i	$0.785927\pi$
$822$	22.7905	+	0.815247i	0.794910	+	0.0284350i
$823$	38.7006	−	8.83315i	1.34902	−	0.307904i	0.513840	−	0.857886i	$-0.328223\pi$
$823$	38.7006	−	8.83315i	1.34902	−	0.307904i	0.835177	+	0.549982i	$0.185365\pi$
$824$	−3.24488	+	9.42211i	−0.113041	+	0.328235i
$825$	−4.58630	−	1.04679i	−0.159674	−	0.0364446i
$826$	−0.818821	+	6.13022i	−0.0284904	+	0.213298i
$827$	−32.7294	+	7.47027i	−1.13811	+	0.259767i	−0.749738	−	0.661735i	$-0.769821\pi$
$827$	−32.7294	+	7.47027i	−1.13811	+	0.259767i	−0.388375	+	0.921501i	$0.626963\pi$
$828$	−5.96535	−	15.0537i	−0.207310	−	0.523154i
$829$	−12.8407	−	10.2401i	−0.445976	−	0.355654i	0.374605	−	0.927185i	$-0.377778\pi$
$829$	−12.8407	−	10.2401i	−0.445976	−	0.355654i	−0.820581	+	0.571531i	$0.806350\pi$
$830$	−18.4287	−	15.8065i	−0.639669	−	0.548652i
$831$	25.3816	−	12.2231i	0.880478	−	0.424016i
$832$	8.12254	+	34.0363i	0.281599	+	1.18000i
$833$	−5.23260	+	0.158811i	−0.181299	+	0.00550248i
$834$	−19.3813	−	10.2026i	−0.671120	−	0.353287i
$835$	−15.9707	−	33.1634i	−0.552688	−	1.14767i
$836$	−9.95657	−	25.1257i	−0.344355	−	0.868991i
$837$	0.150018	−	0.188116i	0.00518537	−	0.00650225i
$838$	29.8001	−	34.7437i	1.02943	−	1.20020i
$839$	−2.94685	−	12.9110i	−0.101737	−	0.445737i	−0.999981	−	0.00623994i	$-0.998014\pi$
$839$	−2.94685	−	12.9110i	−0.101737	−	0.445737i	0.898244	−	0.439497i	$-0.144843\pi$
$840$	−15.1926	+	12.6235i	−0.524195	+	0.435554i
$841$	5.51720	−	24.1724i	0.190248	−	0.833532i
$842$	31.9408	+	43.1296i	1.10075	+	1.48634i
$843$	−0.779060	−	3.41329i	−0.0268323	−	0.117560i
$844$	20.7368	−	36.1915i	0.713791	−	1.24576i
$845$	−12.6544	+	10.0916i	−0.435326	+	0.347161i
$846$	4.62321	+	0.165379i	0.158949	+	0.00568584i
$847$	−11.7191	+	7.61399i	−0.402673	+	0.261620i
$848$	−35.9162	+	33.7676i	−1.23337	+	1.15958i
$849$	−4.22781	−	18.5233i	−0.145098	−	0.635717i
$850$	2.04379	−	0.390186i	0.0701013	−	0.0133833i
$851$		−	25.9663i		−	0.890112i
$852$	−4.63608	+	3.18320i	−0.158829	+	0.109055i
$853$	17.7230	−	14.1337i	0.606825	−	0.483927i	−0.271212	−	0.962520i	$-0.587424\pi$
$853$	17.7230	−	14.1337i	0.606825	−	0.483927i	0.878037	+	0.478593i	$0.158853\pi$
$854$	−4.67934	+	1.53001i	−0.160124	+	0.0523559i
$855$	11.6625	+	9.30054i	0.398849	+	0.318072i
$856$	−2.68195	+	4.31539i	−0.0916671	+	0.147497i
$857$	−2.03871	+	4.23342i	−0.0696410	+	0.144611i	−0.932883	−	0.360179i	$-0.882716\pi$
$857$	−2.03871	+	4.23342i	−0.0696410	+	0.144611i	0.863242	+	0.504790i	$0.168430\pi$
$858$	8.80298	+	11.8867i	0.300529	+	0.405804i
$859$	15.9026	−	19.9412i	0.542588	−	0.680384i	−0.432645	−	0.901565i	$-0.642420\pi$
$859$	15.9026	−	19.9412i	0.542588	−	0.680384i	0.975233	+	0.221180i	$0.0709909\pi$
$860$	−52.1943	−	3.73891i	−1.77981	−	0.127496i
$861$	21.5865	−	22.2516i	0.735665	−	0.758331i
$862$	−4.59632	+	0.877498i	−0.156551	+	0.0298877i
$863$		−	15.3968i		−	0.524115i	−0.965052	−	0.262057i	$-0.915599\pi$
$863$		−	15.3968i		−	0.524115i	0.965052	−	0.262057i	$-0.0844009\pi$
$864$	−4.25726	+	3.72501i	−0.144835	+	0.126727i
$865$	−20.2237	−	25.3598i	−0.687628	−	0.862258i
$866$	13.6463	+	3.63248i	0.463719	+	0.123437i
$867$	−14.8126	−	7.13336i	−0.503061	−	0.242261i
$868$	−1.17615	−	0.487512i	−0.0399212	−	0.0165472i
$869$	13.5445	−	6.52268i	0.459466	−	0.221267i
$870$	7.51978	−	1.43563i	0.254944	−	0.0486723i
$871$	−38.9821	+	18.7728i	−1.32086	+	0.636092i
$872$	−34.0961	+	12.1198i	−1.15464	+	0.410429i
$873$	−5.02814	+	10.4410i	−0.170177	+	0.353376i
$874$	49.1150	+	42.1265i	1.66134	+	1.42495i
$875$	11.5387	+	17.7599i	0.390080	+	0.600394i
$876$	−16.2031	−	14.9354i	−0.547452	−	0.504622i
$877$	−1.14958	+	5.03664i	−0.0388186	+	0.170075i	−0.990621	−	0.136635i	$-0.956371\pi$
$877$	−1.14958	+	5.03664i	−0.0388186	+	0.170075i	0.951803	+	0.306711i	$0.0992283\pi$
$878$	−2.57244	+	1.12738i	−0.0868155	+	0.0380472i
$879$	−17.0920	−	3.90113i	−0.576498	−	0.131582i
$880$	2.05220	+	25.1633i	0.0691796	+	0.848256i
$881$		−	32.0721i		−	1.08054i	−0.841492	−	0.540269i	$-0.818322\pi$
$881$		−	32.0721i		−	1.08054i	0.841492	−	0.540269i	$-0.181678\pi$
$882$	4.24687	+	8.94226i	0.143000	+	0.301102i
$883$		−	50.0789i		−	1.68529i	−0.538471	−	0.842644i	$-0.680998\pi$
$883$		−	50.0789i		−	1.68529i	0.538471	−	0.842644i	$-0.319002\pi$
$884$	−5.67650	−	3.25249i	−0.190921	−	0.109393i
$885$	−4.25361	−	0.970858i	−0.142983	−	0.0326350i
$886$	1.27055	+	2.89911i	0.0426848	+	0.0973976i
$887$	5.08745	−	22.2896i	0.170820	−	0.748410i	−0.814843	−	0.579682i	$-0.803177\pi$
$887$	5.08745	−	22.2896i	0.170820	−	0.748410i	0.985663	−	0.168728i	$-0.0539660\pi$
$888$	−8.54733	+	3.03823i	−0.286830	+	0.101956i
$889$	−4.24481	+	1.55800i	−0.142366	+	0.0522535i
$890$	−36.0590	+	42.0409i	−1.20870	+	1.40921i
$891$	−1.03750	+	2.15439i	−0.0347576	+	0.0721749i
$892$	17.8906	−	19.4091i	0.599021	−	0.649864i
$893$	−16.6557	+	8.02095i	−0.557361	+	0.268411i
$894$	−1.35012	−	7.07188i	−0.0451546	−	0.236519i
$895$	33.8772	−	16.3144i	1.13239	−	0.545330i
$896$	25.1730	+	16.1963i	0.840971	+	0.541081i
$897$	−31.9063	−	15.3652i	−1.06532	−	0.513030i
$898$	−9.53804	+	35.8319i	−0.318288	+	1.19573i
$899$	0.307662	+	0.385796i	0.0102611	+	0.0128670i
$900$	−2.22714	−	3.24365i	−0.0742379	−	0.108122i
$901$		−	9.21685i		−	0.307058i
$902$	−7.43070	−	38.9218i	−0.247415	−	1.29595i
$903$	−8.28517	+	24.8822i	−0.275713	+	0.828028i
$904$	17.9771	+	11.1725i	0.597910	+	0.371592i
$905$	1.87839	−	2.35543i	0.0624398	−	0.0782970i
$906$	14.8762	−	11.0170i	0.494230	−	0.366015i
$907$	0.00210864	−	0.00437864i	7.00163e−5	−	0.000145390i	−0.900934	−	0.433956i	$-0.857117\pi$
$907$	0.00210864	−	0.00437864i	7.00163e−5	−	0.000145390i	0.901004	+	0.433811i	$0.142831\pi$
$908$	40.7448	+	2.91873i	1.35216	+	0.0968614i
$909$	13.8625	+	11.0550i	0.459791	+	0.366671i
$910$	−5.71938	+	42.8190i	−0.189596	+	1.41943i
$911$	21.6568	−	17.2707i	0.717521	−	0.572204i	−0.195212	−	0.980761i	$-0.562539\pi$
$911$	21.6568	−	17.2707i	0.717521	−	0.572204i	0.912733	+	0.408557i	$0.133968\pi$
$912$	8.12002	−	21.0963i	0.268881	−	0.698569i
$913$			15.5523i			0.514707i
$914$	−8.42365	−	44.1229i	−0.278630	−	1.45946i
$915$	−0.772824	−	3.38596i	−0.0255488	−	0.111937i
$916$	0.445897	−	0.0687082i	0.0147329	−	0.00227018i
$917$	1.44080	−	14.8025i	0.0475795	−	0.488822i
$918$	0.0378088	−	1.05696i	0.00124787	−	0.0348847i
$919$	−34.1168	+	27.2072i	−1.12541	+	0.897483i	−0.995567	−	0.0940514i	$-0.970018\pi$
$919$	−34.1168	+	27.2072i	−1.12541	+	0.897483i	−0.129841	+	0.991535i	$0.541447\pi$
$920$	−32.4110	−	51.0215i	−1.06856	−	1.68213i
$921$	4.71395	+	20.6531i	0.155330	+	0.680544i
$922$	4.81164	−	3.56338i	0.158463	−	0.117354i
$923$	−2.73679	+	11.9907i	−0.0900827	+	0.394678i
$924$	12.4737	+	2.12248i	0.410356	+	0.0698243i
$925$	−1.40400	−	6.15134i	−0.0461634	−	0.202255i
$926$	20.1400	+	17.2743i	0.661841	+	0.567670i
$927$	−2.19670	+	2.75457i	−0.0721491	+	0.0904721i
$928$	−5.50503	−	10.2120i	−0.180712	−	0.335224i
$929$	26.2768	+	54.5644i	0.862114	+	1.79020i	0.533732	+	0.845654i	$0.320789\pi$
$929$	26.2768	+	54.5644i	0.862114	+	1.79020i	0.328383	+	0.944545i	$0.393496\pi$
$930$	0.418383	−	0.794779i	0.0137193	−	0.0260618i
$931$	−31.6624	−	23.7149i	−1.03769	−	0.777226i
$932$	−1.45628	−	2.12095i	−0.0477019	−	0.0694740i
$933$	18.9578	−	9.12959i	0.620650	−	0.298889i
$934$	−5.29908	+	6.17816i	−0.173391	+	0.202155i
$935$	−3.69046	−	2.94304i	−0.120691	−	0.0962479i
$936$	−1.32453	+	12.3004i	−0.0432937	+	0.402053i
$937$	−15.5567	+	3.55071i	−0.508215	+	0.115997i	−0.468937	−	0.883232i	$-0.655363\pi$
$937$	−15.5567	+	3.55071i	−0.508215	+	0.115997i	−0.0392778	+	0.999228i	$0.512506\pi$
$938$	−12.9407	+	34.6758i	−0.422530	+	1.13220i
$939$	17.4976	+	3.99370i	0.571011	+	0.130330i
$940$	17.0677	−	2.62995i	0.556686	−	0.0857795i
$941$	45.4140	−	10.3655i	1.48045	−	0.337904i	0.595414	−	0.803419i	$-0.296988\pi$
$941$	45.4140	−	10.3655i	1.48045	−	0.337904i	0.885040	+	0.465515i	$0.154131\pi$
$942$	−0.158353	+	4.42680i	−0.00515941	+	0.144233i
$943$	59.1498	+	74.1714i	1.92618	+	2.41535i
$944$	0.537432	+	6.58980i	0.0174919	+	0.214480i
$945$	−6.55599	+	2.40628i	−0.213266	+	0.0782763i
$946$	19.9491	+	26.9372i	0.648600	+	0.875805i
$947$	22.4986	−	5.13516i	0.731107	−	0.166870i	0.159267	−	0.987236i	$-0.449087\pi$
$947$	22.4986	−	5.13516i	0.731107	−	0.166870i	0.571840	+	0.820365i	$0.306230\pi$
$948$	12.0273	+	3.66668i	0.390630	+	0.119088i
$949$	−48.1939			−1.56444
$950$	13.9130	+	7.32400i	0.451398	+	0.237622i
$951$	9.83533	+	12.3331i	0.318933	+	0.399929i
$952$	−5.43001	+	1.35475i	−0.175988	+	0.0439077i
$953$	15.2751	−	19.1543i	0.494808	−	0.620469i	−0.470242	−	0.882538i	$-0.655833\pi$
$953$	15.2751	−	19.1543i	0.494808	−	0.620469i	0.965049	+	0.262069i	$0.0844047\pi$
$954$	−15.9635	+	6.99606i	−0.516837	+	0.226506i
$955$	47.5514	+	22.8995i	1.53873	+	0.741012i
$956$	20.7210	−	3.19290i	0.670166	−	0.103266i
$957$	−3.83406	−	3.05756i	−0.123938	−	0.0988370i
$958$	24.3491	−	10.6711i	0.786684	−	0.344767i
$959$	4.13320	−	42.4637i	0.133468	−	1.37122i
$960$	−13.0025	+	16.6386i	−0.419653	+	0.537009i
$961$	−30.9421			−0.998132
$962$	−9.24124	+	17.5551i	−0.297949	+	0.565998i
$963$	−1.40446	+	1.12002i	−0.0452579	+	0.0360920i
$964$	−19.7385	−	18.1942i	−0.635734	−	0.585997i
$965$	−11.3057	+	23.4765i	−0.363944	+	0.755737i
$966$	−28.7935	+	9.41464i	−0.926416	+	0.302911i
$967$	−1.96545	−	4.08129i	−0.0632045	−	0.131246i	0.866974	−	0.498354i	$-0.166062\pi$
$967$	−1.96545	−	4.08129i	−0.0632045	−	0.131246i	−0.930178	+	0.367109i	$0.880348\pi$
$968$	−10.5121	+	10.6163i	−0.337873	+	0.341222i
$969$	1.83374	+	3.80781i	0.0589084	+	0.122324i
$970$	−11.1277	+	41.8039i	−0.357289	+	1.34224i
$971$	−18.3965	−	8.85927i	−0.590370	−	0.284307i	0.114751	−	0.993394i	$-0.463393\pi$
$971$	−18.3965	−	8.85927i	−0.590370	−	0.284307i	−0.705121	+	0.709087i	$0.749107\pi$
$972$	−1.85934	+	0.736799i	−0.0596382	+	0.0236328i
$973$	−21.2718	+	35.0223i	−0.681943	+	1.12276i
$974$	−23.8999	−	6.36188i	−0.765804	−	0.203848i
$975$	−8.38931	−	1.91481i	−0.268673	−	0.0613229i
$976$	−4.54053	+	2.66143i	−0.145339	+	0.0851904i
$977$	−11.3043	+	49.5274i	−0.361657	+	1.58452i	0.387333	+	0.921940i	$0.373396\pi$
$977$	−11.3043	+	49.5274i	−0.361657	+	1.58452i	−0.748990	+	0.662582i	$0.769461\pi$
$978$	1.18803	−	33.2117i	0.0379889	−	1.06199i
$979$	35.4791			1.13392
$980$	21.8317	+	29.8156i	0.697389	+	0.952425i
$981$	−12.7937			−0.408472
$982$	1.79745	−	50.2483i	0.0573590	−	1.60349i
$983$	8.78144	−	38.4740i	0.280085	−	1.22713i	−0.617600	−	0.786492i	$-0.711895\pi$
$983$	8.78144	−	38.4740i	0.280085	−	1.22713i	0.897685	−	0.440638i	$-0.145248\pi$
$984$	17.4941	−	28.1489i	0.557693	−	0.897356i
$985$	2.35991	+	0.538634i	0.0751930	+	0.0171623i
$986$	2.09604	+	0.557942i	0.0667516	+	0.0177685i
$987$	0.838449	−	8.61407i	0.0266881	−	0.274189i
$988$	−18.2127	−	45.9603i	−0.579423	−	1.46219i
$989$	−72.3050	−	34.8203i	−2.29917	−	1.10722i
$990$	−2.29607	+	8.62576i	−0.0729740	+	0.274145i
$991$	4.14620	+	8.60967i	0.131708	+	0.273495i	0.956385	−	0.292109i	$-0.0943572\pi$
$991$	4.14620	+	8.60967i	0.131708	+	0.273495i	−0.824677	+	0.565605i	$0.808643\pi$
$992$	−1.33940	−	0.242043i	−0.0425260	−	0.00768487i
$993$	−11.9174	−	24.7467i	−0.378187	−	0.785313i
$994$	5.41294	+	9.02169i	0.171688	+	0.286151i
$995$	−0.617006	+	1.28123i	−0.0195604	+	0.0406176i
$996$	−8.81629	+	9.56457i	−0.279355	+	0.303065i
$997$	−8.45075	+	6.73925i	−0.267638	+	0.213434i	−0.748108	−	0.663577i	$-0.769038\pi$
$997$	−8.45075	+	6.73925i	−0.267638	+	0.213434i	0.480470	+	0.877011i	$0.340466\pi$
$998$	15.4985	−	29.4416i	0.490595	−	0.931956i
$999$	−3.20717			−0.101471

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	588.2.x.a.223.2	✓	168
4.3	odd	2		588.2.x.b.223.10	yes	168
49.20	odd	14		588.2.x.b.559.10	yes	168
196.167	even	14	inner	588.2.x.a.559.2	yes	168

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
588.2.x.a.223.2	✓	168	1.1	even	1	trivial
588.2.x.a.559.2	yes	168	196.167	even	14	inner
588.2.x.b.223.10	yes	168	4.3	odd	2
588.2.x.b.559.10	yes	168	49.20	odd	14

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)

\(f(q)\)	\(=\)	\(q+(-1.41331 - 0.0505560i) q^{2} +(-0.222521 + 0.974928i) q^{3} +(1.99489 + 0.142903i) q^{4} +(2.57339 + 0.587359i) q^{5} +(0.363779 - 1.36663i) q^{6} +(-2.51025 - 0.835852i) q^{7} +(-2.81217 - 0.302819i) q^{8} +(-0.900969 - 0.433884i) q^{9} +O(q^{10})\)	\(q+(-1.41331 - 0.0505560i) q^{2} +(-0.222521 + 0.974928i) q^{3} +(1.99489 + 0.142903i) q^{4} +(2.57339 + 0.587359i) q^{5} +(0.363779 - 1.36663i) q^{6} +(-2.51025 - 0.835852i) q^{7} +(-2.81217 - 0.302819i) q^{8} +(-0.900969 - 0.433884i) q^{9} +(-3.60730 - 0.960221i) q^{10} +(1.03750 + 2.15439i) q^{11} +(-0.583224 + 1.91307i) q^{12} +(1.89781 + 3.94084i) q^{13} +(3.50550 + 1.30823i) q^{14} +(-1.14527 + 2.37817i) q^{15} +(3.95916 + 0.570149i) q^{16} +(-0.584700 + 0.466282i) q^{17} +(1.25141 + 0.658761i) q^{18} -5.65127 q^{19} +(5.04969 + 1.53946i) q^{20} +(1.37348 - 2.26132i) q^{21} +(-1.35739 - 3.09728i) q^{22} +(6.32994 + 5.04796i) q^{23} +(0.920994 - 2.67428i) q^{24} +(1.77249 + 0.853588i) q^{25} +(-2.48296 - 5.66558i) q^{26} +(0.623490 - 0.781831i) q^{27} +(-4.88822 - 2.02615i) q^{28} +(1.27868 + 1.60341i) q^{29} +(1.73885 - 3.30319i) q^{30} +0.240610 q^{31} +(-5.56669 - 1.00596i) q^{32} +(-2.33124 + 0.532091i) q^{33} +(0.849935 - 0.629441i) q^{34} +(-5.96890 - 3.62539i) q^{35} +(-1.73533 - 0.994300i) q^{36} +(-1.99964 - 2.50747i) q^{37} +(7.98699 + 0.285705i) q^{38} +(-4.26434 + 0.973308i) q^{39} +(-7.05894 - 2.43102i) q^{40} +(11.4238 + 2.60740i) q^{41} +(-2.05547 + 3.12650i) q^{42} +(-9.66372 + 2.20568i) q^{43} +(1.76183 + 4.44603i) q^{44} +(-2.06370 - 1.64574i) q^{45} +(-8.69097 - 7.45435i) q^{46} +(2.94725 - 1.41932i) q^{47} +(-1.43685 + 3.73302i) q^{48} +(5.60270 + 4.19639i) q^{49} +(-2.46193 - 1.29599i) q^{50} +(-0.324484 - 0.673798i) q^{51} +(3.22276 + 8.13274i) q^{52} +(-7.68409 + 9.63554i) q^{53} +(-0.920710 + 1.07345i) q^{54} +(1.40449 + 6.15347i) q^{55} +(6.80614 + 3.11071i) q^{56} +(1.25753 - 5.50958i) q^{57} +(-1.72610 - 2.33076i) q^{58} +(0.367809 + 1.61148i) q^{59} +(-2.62452 + 4.58052i) q^{60} +(-1.02870 + 0.820364i) q^{61} +(-0.340056 - 0.0121643i) q^{62} +(1.89899 + 1.84223i) q^{63} +(7.81660 + 1.70316i) q^{64} +(2.56911 + 11.2560i) q^{65} +(3.32167 - 0.634151i) q^{66} +9.89182i q^{67} +(-1.23304 + 0.846626i) q^{68} +(-6.32994 + 5.04796i) q^{69} +(8.25262 + 5.42556i) q^{70} +(2.19839 + 1.75316i) q^{71} +(2.40229 + 1.49299i) q^{72} +(-4.78064 + 9.92710i) q^{73} +(2.69934 + 3.64493i) q^{74} +(-1.22660 + 1.53811i) q^{75} +(-11.2736 - 0.807580i) q^{76} +(-0.803632 - 6.27526i) q^{77} +(6.07604 - 1.16000i) q^{78} -6.28692i q^{79} +(9.85357 + 3.79266i) q^{80} +(0.623490 + 0.781831i) q^{81} +(-16.0135 - 4.26260i) q^{82} +(5.85990 + 2.82198i) q^{83} +(3.06308 - 4.31480i) q^{84} +(-1.77853 + 0.856497i) q^{85} +(13.7693 - 2.62875i) q^{86} +(-1.84774 + 0.889825i) q^{87} +(-2.26524 - 6.37269i) q^{88} +(6.43770 - 13.3680i) q^{89} +(2.83344 + 2.43028i) q^{90} +(-1.47001 - 11.4788i) q^{91} +(11.9062 + 10.9747i) q^{92} +(-0.0535407 + 0.234577i) q^{93} +(-4.23713 + 1.85694i) q^{94} +(-14.5429 - 3.31932i) q^{95} +(2.21944 - 5.20328i) q^{96} -11.5887i q^{97} +(-7.70620 - 6.21405i) q^{98} -2.39120i 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	\( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) \) 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9 + 20 * q^10 - 12 * q^14 + 36 * q^16 + 12 * q^19 - 25 * q^20 + 2 * q^21 - 6 * q^22 - 15 * q^24 + 32 * q^25 + 6 * q^26 - 28 * q^27 - 66 * q^28 - 8 * q^30 - 4 * q^31 + 25 * q^32 - 68 * q^34 - 12 * q^35 - 10 * q^37 + 35 * q^38 + 14 * q^39 + 16 * q^40 + 9 * 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 - 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 + 59 * q^70 + 28 * q^71 - 15 * q^72 + 22 * q^74 + 18 * q^75 + 7 * q^76 + 8 * q^77 + 6 * q^78 + 26 * q^80 - 28 * q^81 + 12 * q^82 + 10 * q^83 + 11 * q^84 - 24 * q^85 - 6 * q^86 - 242 * q^88 + 20 * q^90 - 16 * q^91 + 7 * q^92 - 4 * q^93 - 53 * q^94 - 10 * q^96 - 118 * q^98

Introduction

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