LMFDB - Embedded newform 588.2.x.a.223.4

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			223.4
Character	$\chi$	$=$	588.223
Dual form			588.2.x.a.559.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.29096 + 0.577431i) q^{2} +(-0.222521 + 0.974928i) q^{3} +(1.33315 - 1.49088i) q^{4} +(-3.29539 - 0.752152i) q^{5} +(-0.275689 - 1.38708i) q^{6} +(2.53967 - 0.741675i) q^{7} +(-0.860155 + 2.69446i) q^{8} +(-0.900969 - 0.433884i) q^{9} +O(q^{10})$	\(q+(-1.29096 + 0.577431i) q^{2} +(-0.222521 + 0.974928i) q^{3} +(1.33315 - 1.49088i) q^{4} +(-3.29539 - 0.752152i) q^{5} +(-0.275689 - 1.38708i) q^{6} +(2.53967 - 0.741675i) q^{7} +(-0.860155 + 2.69446i) q^{8} +(-0.900969 - 0.433884i) q^{9} +(4.68853 - 0.931867i) q^{10} +(0.238885 + 0.496050i) q^{11} +(1.15685 + 1.63147i) q^{12} +(1.89393 + 3.93278i) q^{13} +(-2.85034 + 2.42396i) q^{14} +(1.46659 - 3.04540i) q^{15} +(-0.445444 - 3.97512i) q^{16} +(-0.912896 + 0.728010i) q^{17} +(1.41365 + 0.0398780i) q^{18} -5.82428 q^{19} +(-5.51461 + 3.91031i) q^{20} +(0.157950 + 2.64103i) q^{21} +(-0.594826 - 0.502440i) q^{22} +(-3.59877 - 2.86993i) q^{23} +(-2.43551 - 1.43816i) q^{24} +(5.78904 + 2.78786i) q^{25} +(-4.71589 - 3.98344i) q^{26} +(0.623490 - 0.781831i) q^{27} +(2.28000 - 4.77510i) q^{28} +(-2.97720 - 3.73330i) q^{29} +(-0.134793 + 4.77834i) q^{30} -10.0174 q^{31} +(2.87041 + 4.87450i) q^{32} +(-0.536770 + 0.122514i) q^{33} +(0.758135 - 1.46697i) q^{34} +(-8.92706 + 0.533893i) q^{35} +(-1.84799 + 0.764806i) q^{36} +(-3.96278 - 4.96917i) q^{37} +(7.51890 - 3.36312i) q^{38} +(-4.25562 + 0.971316i) q^{39} +(4.86120 - 8.23235i) q^{40} +(5.88603 + 1.34345i) q^{41} +(-1.72892 - 3.31826i) q^{42} +(-4.65448 + 1.06236i) q^{43} +(1.05802 + 0.305158i) q^{44} +(2.64270 + 2.10748i) q^{45} +(6.30305 + 1.62691i) q^{46} +(3.91663 - 1.88615i) q^{47} +(3.97458 + 0.450272i) q^{48} +(5.89984 - 3.76722i) q^{49} +(-9.08321 - 0.256230i) q^{50} +(-0.506619 - 1.05201i) q^{51} +(8.38818 + 2.41935i) q^{52} +(-2.02842 + 2.54356i) q^{53} +(-0.353445 + 1.36933i) q^{54} +(-0.414115 - 1.81436i) q^{55} +(-0.186093 + 7.48100i) q^{56} +(1.29602 - 5.67825i) q^{57} +(5.99917 + 3.10040i) q^{58} +(-1.10038 - 4.82106i) q^{59} +(-2.58515 - 6.24647i) q^{60} +(-11.4967 + 9.16829i) q^{61} +(12.9320 - 5.78436i) q^{62} +(-2.60996 - 0.433695i) q^{63} +(-6.52027 - 4.63531i) q^{64} +(-3.28319 - 14.3846i) q^{65} +(0.622204 - 0.468109i) q^{66} -6.97890i q^{67} +(-0.131648 + 2.33156i) q^{68} +(3.59877 - 2.86993i) q^{69} +(11.2162 - 5.84400i) q^{70} +(-4.40600 - 3.51366i) q^{71} +(1.94406 - 2.05442i) q^{72} +(-4.05356 + 8.41731i) q^{73} +(7.98514 + 4.12675i) q^{74} +(-4.00614 + 5.02354i) q^{75} +(-7.76462 + 8.68330i) q^{76} +(0.974597 + 1.08263i) q^{77} +(4.93295 - 3.71125i) q^{78} -4.40385i q^{79} +(-1.52198 + 13.4346i) q^{80} +(0.623490 + 0.781831i) q^{81} +(-8.37437 + 1.66444i) q^{82} +(-12.3189 - 5.93247i) q^{83} +(4.14803 + 3.28540i) q^{84} +(3.55593 - 1.71244i) q^{85} +(5.39531 - 4.05910i) q^{86} +(4.30218 - 2.07182i) q^{87} +(-1.54207 + 0.216987i) q^{88} +(-7.13464 + 14.8152i) q^{89} +(-4.62854 - 1.19469i) q^{90} +(7.72679 + 8.58328i) q^{91} +(-9.07640 + 1.53931i) q^{92} +(2.22908 - 9.76624i) q^{93} +(-3.96709 + 4.69653i) q^{94} +(19.1933 + 4.38075i) q^{95} +(-5.39101 + 1.71376i) q^{96} -2.32751i q^{97} +(-5.44113 + 8.27007i) q^{98} -0.550574i 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 $

$2$	−1.29096	+	0.577431i	−0.912845	+	0.408306i
$2$	−1.29096	+	0.577431i	−0.912845	+	0.408306i
$3$	−0.222521	+	0.974928i	−0.128473	+	0.562875i
$3$	−0.222521	+	0.974928i	−0.128473	+	0.562875i
$4$	1.33315	−	1.49088i	0.666573	−	0.745440i
$5$	−3.29539	−	0.752152i	−1.47374	−	0.336373i	−0.591171	−	0.806546i	$-0.701334\pi$
$5$	−3.29539	−	0.752152i	−1.47374	−	0.336373i	−0.882574	+	0.470174i	$0.844191\pi$
$6$	−0.275689	−	1.38708i	−0.112549	−	0.566274i
$7$	2.53967	−	0.741675i	0.959905	−	0.280327i
$7$	2.53967	−	0.741675i	0.959905	−	0.280327i
$8$	−0.860155	+	2.69446i	−0.304111	+	0.952637i
$9$	−0.900969	−	0.433884i	−0.300323	−	0.144628i
$10$	4.68853	−	0.931867i	1.48264	−	0.294682i
$11$	0.238885	+	0.496050i	0.0720266	+	0.149565i	0.933873	−	0.357604i	$-0.116406\pi$
$11$	0.238885	+	0.496050i	0.0720266	+	0.149565i	−0.861847	+	0.507169i	$0.830692\pi$
$12$	1.15685	+	1.63147i	0.333953	+	0.470966i
$13$	1.89393	+	3.93278i	0.525281	+	1.09076i	0.979793	+	0.200016i	$0.0640995\pi$
$13$	1.89393	+	3.93278i	0.525281	+	1.09076i	−0.454512	+	0.890741i	$0.650186\pi$
$14$	−2.85034	+	2.42396i	−0.761785	+	0.647829i
$15$	1.46659	−	3.04540i	0.378671	−	0.786319i
$16$	−0.445444	−	3.97512i	−0.111361	−	0.993780i
$17$	−0.912896	+	0.728010i	−0.221410	+	0.176568i	−0.727913	−	0.685670i	$-0.759509\pi$
$17$	−0.912896	+	0.728010i	−0.221410	+	0.176568i	0.506503	+	0.862238i	$0.330938\pi$
$18$	1.41365	+	0.0398780i	0.333201	+	0.00939934i
$19$	−5.82428			−1.33618			−0.668091	−	0.744080i	$-0.732888\pi$
$19$	−5.82428			−1.33618			−0.668091	+	0.744080i	$0.732888\pi$
$20$	−5.51461	+	3.91031i	−1.23310	+	0.874371i
$21$	0.157950	+	2.64103i	0.0344675	+	0.576321i
$22$	−0.594826	−	0.502440i	−0.126817	−	0.107121i
$23$	−3.59877	−	2.86993i	−0.750396	−	0.598421i	0.171805	−	0.985131i	$-0.445040\pi$
$23$	−3.59877	−	2.86993i	−0.750396	−	0.598421i	−0.922201	+	0.386710i	$0.873611\pi$
$24$	−2.43551	−	1.43816i	−0.497145	−	0.293564i
$25$	5.78904	+	2.78786i	1.15781	+	0.557571i
$26$	−4.71589	−	3.98344i	−0.924862	−	0.781217i
$27$	0.623490	−	0.781831i	0.119991	−	0.150464i
$28$	2.28000	−	4.77510i	0.430880	−	0.902409i
$29$	−2.97720	−	3.73330i	−0.552853	−	0.693256i	0.424366	−	0.905491i	$-0.360497\pi$
$29$	−2.97720	−	3.73330i	−0.552853	−	0.693256i	−0.977219	+	0.212235i	$0.931926\pi$
$30$	−0.134793	+	4.77834i	−0.0246098	+	0.872402i
$31$	−10.0174			−1.79918			−0.899589	−	0.436737i	$-0.856134\pi$
$31$	−10.0174			−1.79918			−0.899589	+	0.436737i	$0.856134\pi$
$32$	2.87041	+	4.87450i	0.507421	+	0.861698i
$33$	−0.536770	+	0.122514i	−0.0934397	+	0.0213270i
$34$	0.758135	−	1.46697i	0.130019	−	0.251583i
$35$	−8.92706	+	0.533893i	−1.50895	+	0.0902444i
$36$	−1.84799	+	0.764806i	−0.307999	+	0.127468i
$37$	−3.96278	−	4.96917i	−0.651477	−	0.816926i	0.340909	−	0.940096i	$-0.389265\pi$
$37$	−3.96278	−	4.96917i	−0.651477	−	0.816926i	−0.992386	+	0.123170i	$0.960694\pi$
$38$	7.51890	−	3.36312i	1.21973	−	0.545571i
$39$	−4.25562	+	0.971316i	−0.681444	+	0.155535i
$40$	4.86120	−	8.23235i	0.768622	−	1.30165i
$41$	5.88603	+	1.34345i	0.919244	+	0.209811i	0.655863	−	0.754880i	$-0.272305\pi$
$41$	5.88603	+	1.34345i	0.919244	+	0.209811i	0.263381	+	0.964692i	$0.415162\pi$
$42$	−1.72892	−	3.31826i	−0.266778	−	0.512018i
$43$	−4.65448	+	1.06236i	−0.709802	+	0.162008i	−0.562154	−	0.827032i	$-0.690027\pi$
$43$	−4.65448	+	1.06236i	−0.709802	+	0.162008i	−0.147648	+	0.989040i	$0.547170\pi$
$44$	1.05802	+	0.305158i	0.159502	+	0.0460043i
$45$	2.64270	+	2.10748i	0.393951	+	0.314165i
$46$	6.30305	+	1.62691i	0.929334	+	0.239875i
$47$	3.91663	−	1.88615i	0.571300	−	0.275123i	−0.125850	−	0.992049i	$-0.540166\pi$
$47$	3.91663	−	1.88615i	0.571300	−	0.275123i	0.697149	+	0.716926i	$0.254451\pi$
$48$	3.97458	+	0.450272i	0.573681	+	0.0649911i
$49$	5.89984	−	3.76722i	0.842834	−	0.538174i
$50$	−9.08321	−	0.256230i	−1.28456	−	0.0362364i
$51$	−0.506619	−	1.05201i	−0.0709409	−	0.147310i
$52$	8.38818	+	2.41935i	1.16323	+	0.335504i
$53$	−2.02842	+	2.54356i	−0.278625	+	0.349385i	−0.901378	−	0.433034i	$-0.857443\pi$
$53$	−2.02842	+	2.54356i	−0.278625	+	0.349385i	0.622752	+	0.782419i	$0.286014\pi$
$54$	−0.353445	+	1.36933i	−0.0480978	+	0.186343i
$55$	−0.414115	−	1.81436i	−0.0558393	−	0.244648i
$56$	−0.186093	+	7.48100i	−0.0248677	+	0.999691i
$57$	1.29602	−	5.67825i	0.171663	−	0.752103i
$58$	5.99917	+	3.10040i	0.787729	+	0.407102i
$59$	−1.10038	−	4.82106i	−0.143257	−	0.627649i	−0.994666	−	0.103147i	$-0.967109\pi$
$59$	−1.10038	−	4.82106i	−0.143257	−	0.627649i	0.851409	−	0.524502i	$-0.175748\pi$
$60$	−2.58515	−	6.24647i	−0.333742	−	0.806416i
$61$	−11.4967	+	9.16829i	−1.47200	+	1.17388i	−0.525662	+	0.850694i	$0.676182\pi$
$61$	−11.4967	+	9.16829i	−1.47200	+	1.17388i	−0.946336	+	0.323185i	$0.895246\pi$
$62$	12.9320	−	5.78436i	1.64237	−	0.734615i
$63$	−2.60996	−	0.433695i	−0.328824	−	0.0546405i
$64$	−6.52027	−	4.63531i	−0.815033	−	0.579414i
$65$	−3.28319	−	14.3846i	−0.407229	−	1.78419i
$66$	0.622204	−	0.468109i	0.0765880	−	0.0576202i
$67$		−	6.97890i		−	0.852608i	−0.904580	−	0.426304i	$-0.859815\pi$
$67$		−	6.97890i		−	0.852608i	0.904580	−	0.426304i	$-0.140185\pi$
$68$	−0.131648	+	2.33156i	−0.0159647	+	0.282743i
$69$	3.59877	−	2.86993i	0.433241	−	0.345498i
$70$	11.2162	−	5.84400i	1.34059	−	0.698492i
$71$	−4.40600	−	3.51366i	−0.522895	−	0.416995i	0.326148	−	0.945319i	$-0.394249\pi$
$71$	−4.40600	−	3.51366i	−0.522895	−	0.416995i	−0.849043	+	0.528324i	$0.822821\pi$
$72$	1.94406	−	2.05442i	0.229109	−	0.242116i
$73$	−4.05356	+	8.41731i	−0.474434	+	0.985171i	0.517173	+	0.855881i	$0.326984\pi$
$73$	−4.05356	+	8.41731i	−0.474434	+	0.985171i	−0.991607	+	0.129291i	$0.958730\pi$
$74$	7.98514	+	4.12675i	0.928253	+	0.479725i
$75$	−4.00614	+	5.02354i	−0.462589	+	0.580069i
$76$	−7.76462	+	8.68330i	−0.890663	+	0.996043i
$77$	0.974597	+	1.08263i	0.111066	+	0.123377i
$78$	4.93295	−	3.71125i	0.558547	−	0.420217i
$79$		−	4.40385i		−	0.495472i	−0.968828	−	0.247736i	$-0.920313\pi$
$79$		−	4.40385i		−	0.495472i	0.968828	−	0.247736i	$-0.0796865\pi$
$80$	−1.52198	+	13.4346i	−0.170163	+	1.50204i
$81$	0.623490	+	0.781831i	0.0692766	+	0.0868702i
$82$	−8.37437	+	1.66444i	−0.924795	+	0.183807i
$83$	−12.3189	−	5.93247i	−1.35217	−	0.651173i	−0.389297	−	0.921112i	$-0.627282\pi$
$83$	−12.3189	−	5.93247i	−1.35217	−	0.651173i	−0.962877	+	0.269940i	$0.912996\pi$
$84$	4.14803	+	3.28540i	0.452587	+	0.358466i
$85$	3.55593	−	1.71244i	0.385694	−	0.185741i
$86$	5.39531	−	4.05910i	0.581791	−	0.437704i
$87$	4.30218	−	2.07182i	0.461243	−	0.222123i
$88$	−1.54207	+	0.216987i	−0.164385	+	0.0231309i
$89$	−7.13464	+	14.8152i	−0.756270	+	1.57041i	0.0636757	+	0.997971i	$0.479718\pi$
$89$	−7.13464	+	14.8152i	−0.756270	+	1.57041i	−0.819946	+	0.572441i	$0.805997\pi$
$90$	−4.62854	−	1.19469i	−0.487891	−	0.125932i
$91$	7.72679	+	8.58328i	0.809988	+	0.899772i
$92$	−9.07640	+	1.53931i	−0.946280	+	0.160484i
$93$	2.22908	−	9.76624i	0.231145	−	1.01271i
$94$	−3.96709	+	4.69653i	−0.409174	+	0.484410i
$95$	19.1933	+	4.38075i	1.96919	+	0.449455i
$96$	−5.39101	+	1.71376i	−0.550218	+	0.174910i
$97$		−	2.32751i		−	0.236322i	−0.992994	−	0.118161i	$-0.962300\pi$
$97$		−	2.32751i		−	0.236322i	0.992994	−	0.118161i	$-0.0377000\pi$
$98$	−5.44113	+	8.27007i	−0.549637	+	0.835403i
$99$		−	0.550574i		−	0.0553348i
$100$	11.8740	−	4.91415i	1.18740	−	0.491415i
$101$	5.34275	+	1.21945i	0.531623	+	0.121340i	0.479902	−	0.877322i	$-0.340672\pi$
$101$	5.34275	+	1.21945i	0.531623	+	0.121340i	0.0517211	+	0.998662i	$0.483529\pi$
$102$	1.26149	+	1.06556i	0.124906	+	0.105506i
$103$	4.07173	−	17.8394i	0.401199	−	1.75777i	−0.221355	−	0.975193i	$-0.571048\pi$
$103$	4.07173	−	17.8394i	0.401199	−	1.75777i	0.622554	−	0.782576i	$-0.286095\pi$
$104$	−12.2258	+	1.72032i	−1.19884	+	0.168691i
$105$	1.46595	−	8.82204i	0.143062	−	0.860943i
$106$	1.14988	−	4.45491i	0.111686	−	0.432699i
$107$	−6.48714	+	13.4707i	−0.627136	+	1.30226i	0.309147	+	0.951014i	$0.399956\pi$
$107$	−6.48714	+	13.4707i	−0.627136	+	1.30226i	−0.936283	+	0.351247i	$0.885758\pi$
$108$	−0.334414	−	1.97184i	−0.0321790	−	0.189741i
$109$	−9.36009	+	4.50758i	−0.896534	+	0.431748i	−0.824636	−	0.565664i	$-0.808620\pi$
$109$	−9.36009	+	4.50758i	−0.896534	+	0.431748i	−0.0718981	+	0.997412i	$0.522906\pi$
$110$	1.58227	+	2.10314i	0.150864	+	0.200526i
$111$	5.72638	−	2.75768i	0.543524	−	0.261747i
$112$	−4.07953	−	9.76511i	−0.385479	−	0.922717i
$113$	0.751830	+	0.362062i	0.0707262	+	0.0340599i	0.468912	−	0.883245i	$-0.344646\pi$
$113$	0.751830	+	0.362062i	0.0707262	+	0.0340599i	−0.398186	+	0.917305i	$0.630360\pi$
$114$	1.60569	+	8.07875i	0.150387	+	0.756645i
$115$	9.70075	+	12.1644i	0.904600	+	1.13433i
$116$	−9.53494	−	0.538375i	−0.885297	−	0.0499869i
$117$		−	4.36506i		−	0.403550i
$118$	4.20437	+	5.58840i	0.387044	+	0.514454i
$119$	−1.77851	+	2.52598i	−0.163035	+	0.231556i
$120$	6.94423	+	6.57119i	0.633919	+	0.599864i
$121$	6.66939	−	8.36315i	0.606308	−	0.760286i
$122$	9.54766	−	18.4744i	0.864405	−	1.67259i
$123$	−2.61953	+	5.43951i	−0.236195	+	0.490464i
$124$	−13.3547	+	14.9347i	−1.19928	+	1.34118i
$125$	−3.76678	−	3.00391i	−0.336911	−	0.268678i
$126$	3.61978	−	0.947192i	0.322476	−	0.0843826i
$127$	1.13409	−	0.904408i	0.100634	−	0.0802532i	−0.571880	−	0.820337i	$-0.693786\pi$
$127$	1.13409	−	0.904408i	0.100634	−	0.0802532i	0.672514	+	0.740084i	$0.265214\pi$
$128$	11.0940	+	2.21899i	0.980577	+	0.196132i
$129$		−	4.77418i		−	0.420343i
$130$	12.5446	+	16.6741i	1.10023	+	1.46241i
$131$	2.97964	+	13.0547i	0.260333	+	1.14059i	0.920892	+	0.389818i	$0.127462\pi$
$131$	2.97964	+	13.0547i	0.260333	+	1.14059i	−0.660560	+	0.750774i	$0.729681\pi$
$132$	−0.532939	+	0.963589i	−0.0463864	+	0.0838696i
$133$	−14.7917	+	4.31972i	−1.28261	+	0.374567i
$134$	4.02984	+	9.00947i	0.348125	+	0.778299i
$135$	−2.64270	+	2.10748i	−0.227447	+	0.181383i
$136$	−1.17637	−	3.08597i	−0.100873	−	0.264619i
$137$	0.816979	+	3.57942i	0.0697992	+	0.305810i	0.997762	−	0.0668619i	$-0.0212987\pi$
$137$	0.816979	+	3.57942i	0.0697992	+	0.305810i	−0.927963	+	0.372672i	$0.878442\pi$
$138$	−2.98868	+	5.78300i	−0.254413	+	0.492281i
$139$	−4.98579	+	21.8442i	−0.422889	+	1.85280i	0.0923115	+	0.995730i	$0.470574\pi$
$139$	−4.98579	+	21.8442i	−0.422889	+	1.85280i	−0.515201	+	0.857069i	$0.672283\pi$
$140$	−11.1051	+	14.0209i	−0.938553	+	1.18498i
$141$	0.967328	+	4.23814i	0.0814638	+	0.356916i
$142$	7.71686	+	1.99183i	0.647584	+	0.167151i
$143$	−1.49842	+	1.87897i	−0.125305	+	0.157127i
$144$	−1.32341	+	3.77473i	−0.110284	+	0.314561i
$145$	7.00305	+	14.5420i	0.581572	+	1.20765i
$146$	0.372561	−	13.2070i	0.0308333	−	1.09302i
$147$	2.35993	+	6.59020i	0.194644	+	0.543551i
$148$	−12.6914	−	0.716599i	−1.04323	−	0.0589041i
$149$	6.89016	−	3.31813i	0.564464	−	0.271832i	−0.129814	−	0.991538i	$-0.541438\pi$
$149$	6.89016	−	3.31813i	0.564464	−	0.271832i	0.694278	+	0.719707i	$0.255724\pi$
$150$	2.27101	−	8.79846i	0.185427	−	0.718391i
$151$	−0.701173	−	0.559167i	−0.0570607	−	0.0455044i	0.594544	−	0.804063i	$-0.297333\pi$
$151$	−0.701173	−	0.559167i	−0.0570607	−	0.0455044i	−0.651605	+	0.758559i	$0.725904\pi$
$152$	5.00978	−	15.6933i	0.406347	−	1.27290i
$153$	1.13836	−	0.259824i	0.0920312	−	0.0210055i
$154$	−1.88331	−	0.834864i	−0.151761	−	0.0672753i
$155$	33.0113	+	7.53461i	2.65153	+	0.605194i
$156$	−4.22524	+	7.63952i	−0.338290	+	0.611651i
$157$	20.4210	−	4.66096i	1.62977	−	0.371985i	0.692729	−	0.721198i	$-0.256408\pi$
$157$	20.4210	−	4.66096i	1.62977	−	0.371985i	0.937043	+	0.349213i	$0.113551\pi$
$158$	2.54292	+	5.68518i	0.202304	+	0.452289i
$159$	−2.02842	−	2.54356i	−0.160865	−	0.201718i
$160$	−5.79276	−	18.2224i	−0.457958	−	1.44061i
$161$	−11.2682	−	4.61954i	−0.888062	−	0.364071i
$162$	−1.25635	−	0.649289i	−0.0987084	−	0.0510130i
$163$	14.5315	−	3.31672i	1.13820	−	0.259786i	0.388423	−	0.921481i	$-0.373020\pi$
$163$	14.5315	−	3.31672i	1.13820	−	0.259786i	0.749773	+	0.661695i	$0.230163\pi$
$164$	9.84986	−	6.98435i	0.769145	−	0.545386i
$165$	1.86102			0.144880
$166$	19.3288	+	0.545250i	1.50020	+	0.0423196i
$167$	−7.16310	−	8.98225i	−0.554298	−	0.695067i	0.423195	−	0.906039i	$-0.360909\pi$
$167$	−7.16310	−	8.98225i	−0.554298	−	0.695067i	−0.977492	+	0.210972i	$0.932337\pi$
$168$	−7.25203	−	1.84611i	−0.559506	−	0.142430i
$169$	−3.77443	+	4.73299i	−0.290341	+	0.364076i
$170$	−3.60173	+	4.26400i	−0.276240	+	0.327034i
$171$	5.24750	+	2.52706i	0.401286	+	0.193249i
$172$	−4.62126	+	8.35555i	−0.352368	+	0.637105i
$173$	4.62285	+	3.68660i	0.351469	+	0.280287i	0.783270	−	0.621682i	$-0.213550\pi$
$173$	4.62285	+	3.68660i	0.351469	+	0.280287i	−0.431801	+	0.901969i	$0.642122\pi$
$174$	−4.35760	+	5.15885i	−0.330349	+	0.391092i
$175$	16.7699	+	2.78664i	1.26769	+	0.210651i
$176$	1.86545	−	1.17056i	0.140613	−	0.0882342i
$177$	4.94504			0.371692
$178$	0.655741	−	23.2456i	0.0491498	−	1.74233i
$179$	−0.590888	+	0.471218i	−0.0441651	+	0.0352205i	−0.645324	−	0.763909i	$-0.723277\pi$
$179$	−0.590888	+	0.471218i	−0.0441651	+	0.0352205i	0.601159	+	0.799130i	$0.294706\pi$
$180$	6.66511	−	1.13037i	0.496788	−	0.0842525i
$181$	−0.424889	+	0.882291i	−0.0315818	+	0.0655802i	−0.916163	−	0.400806i	$-0.868730\pi$
$181$	−0.424889	+	0.882291i	−0.0315818	+	0.0655802i	0.884581	+	0.466386i	$0.154444\pi$
$182$	−14.9312	−	6.61896i	−1.10678	−	0.490630i
$183$	−6.38017	−	13.2486i	−0.471636	−	0.979362i
$184$	10.8284	−	7.22818i	0.798281	−	0.532869i
$185$	9.32135	+	19.3560i	0.685319	+	1.42308i
$186$	2.76169	+	13.8950i	0.202497	+	1.01883i
$187$	−0.579207	−	0.278931i	−0.0423558	−	0.0203975i
$188$	2.40942	−	8.35374i	0.175725	−	0.609259i
$189$	1.00359	−	2.44802i	0.0730007	−	0.178067i
$190$	−27.3073	+	5.42746i	−1.98108	+	0.393749i
$191$	9.42727	+	2.15171i	0.682133	+	0.155692i	0.549526	−	0.835476i	$-0.314808\pi$
$191$	9.42727	+	2.15171i	0.682133	+	0.155692i	0.132607	+	0.991169i	$0.457665\pi$
$192$	5.96999	−	5.32534i	0.430847	−	0.384323i
$193$	−1.05497	+	4.62211i	−0.0759381	+	0.332706i	−0.998600	−	0.0529044i	$-0.983152\pi$
$193$	−1.05497	+	4.62211i	−0.0759381	+	0.332706i	0.922662	+	0.385611i	$0.126009\pi$
$194$	1.34398	+	3.00471i	0.0964918	+	0.215726i
$195$	14.7545			1.05659
$196$	2.24888	−	13.8182i	0.160634	−	0.987014i
$197$	14.9940			1.06828			0.534141	−	0.845396i	$-0.320635\pi$
$197$	14.9940			1.06828			0.534141	+	0.845396i	$0.320635\pi$
$198$	0.317919	+	0.710768i	0.0225935	+	0.0505121i
$199$	1.69742	−	7.43687i	0.120327	−	0.527186i	−0.878454	−	0.477826i	$-0.841425\pi$
$199$	1.69742	−	7.43687i	0.120327	−	0.527186i	0.998781	−	0.0493596i	$-0.0157180\pi$
$200$	−12.4912	+	13.2004i	−0.883265	+	0.933408i
$201$	6.80392	+	1.55295i	0.479912	+	0.109537i
$202$	−7.60141	+	1.51081i	−0.534833	+	0.106301i
$203$	−10.3300	−	7.27322i	−0.725024	−	0.510480i
$204$	−2.24381	−	0.647169i	−0.157098	−	0.0453109i
$205$	−18.3863	−	8.85438i	−1.28416	−	0.618417i
$206$	5.04461	+	25.3811i	0.351474	+	1.76838i
$207$	1.99717	+	4.14716i	0.138813	+	0.288248i
$208$	14.7896	−	9.28042i	1.02548	−	0.643481i
$209$	−1.39133	−	2.88913i	−0.0962406	−	0.199846i
$210$	3.20164	+	12.2354i	0.220934	+	0.844321i
$211$	−9.90915	+	20.5766i	−0.682174	+	1.41655i	0.215772	+	0.976444i	$0.430773\pi$
$211$	−9.90915	+	20.5766i	−0.682174	+	1.41655i	−0.897946	+	0.440105i	$0.854941\pi$
$212$	1.08796	+	6.41508i	0.0747215	+	0.440589i
$213$	4.40600	−	3.51366i	0.301894	−	0.240752i
$214$	0.596230	−	21.1360i	0.0407574	−	1.44483i
$215$	16.1374			1.10056
$216$	1.57032	+	2.35247i	0.106847	+	0.160065i
$217$	−25.4409	+	7.42965i	−1.72704	+	0.504358i
$218$	9.48066	−	11.2239i	0.642112	−	0.760179i
$219$	−7.30427	−	5.82496i	−0.493577	−	0.393614i
$220$	−3.25707	−	1.80141i	−0.219591	−	0.121451i
$221$	−4.59206	−	2.21142i	−0.308896	−	0.148756i
$222$	−5.80015	+	6.86664i	−0.389280	+	0.460859i
$223$	0.451223	−	0.565815i	0.0302161	−	0.0378898i	−0.766494	−	0.642252i	$-0.778000\pi$
$223$	0.451223	−	0.565815i	0.0302161	−	0.0378898i	0.796710	+	0.604362i	$0.206572\pi$
$224$	10.9052	+	10.2507i	0.728633	+	0.684904i
$225$	−4.00614	−	5.02354i	−0.267076	−	0.334903i
$226$	−1.17965	−	0.0332769i	−0.0784689	−	0.00221355i
$227$	−28.2167			−1.87281			−0.936403	−	0.350926i	$-0.885867\pi$
$227$	−28.2167			−1.87281			−0.936403	+	0.350926i	$0.885867\pi$
$228$	−6.73780	−	9.50216i	−0.446222	−	0.629296i
$229$	−6.56700	+	1.49888i	−0.433960	+	0.0990485i	−0.433920	−	0.900952i	$-0.642870\pi$
$229$	−6.56700	+	1.49888i	−0.433960	+	0.0990485i	−3.99190e−5		1.00000i	$0.500013\pi$
$230$	−19.5473	−	10.1022i	−1.28891	−	0.666117i
$231$	−1.27235	+	0.709254i	−0.0837146	+	0.0466655i
$232$	12.6201	−	4.81076i	0.828549	−	0.315842i
$233$	−8.60359	−	10.7886i	−0.563640	−	0.706782i	0.415586	−	0.909554i	$-0.363576\pi$
$233$	−8.60359	−	10.7886i	−0.563640	−	0.706782i	−0.979226	+	0.202772i	$0.935005\pi$
$234$	2.52052	+	5.63510i	0.164772	+	0.368378i
$235$	−14.3255	+	3.26971i	−0.934494	+	0.213292i
$236$	−8.65458	−	4.78665i	−0.563365	−	0.311584i
$237$	4.29344	+	0.979949i	0.278889	+	0.0636545i
$238$	0.837400	−	4.28790i	0.0542806	−	0.277943i
$239$	10.0557	−	2.29515i	0.650449	−	0.148461i	0.115450	−	0.993313i	$-0.463169\pi$
$239$	10.0557	−	2.29515i	0.650449	−	0.148461i	0.534999	+	0.844853i	$0.320312\pi$
$240$	−12.7591	−	4.47331i	−0.823598	−	0.288751i
$241$	6.66321	+	5.31373i	0.429215	+	0.342288i	0.814148	−	0.580657i	$-0.197204\pi$
$241$	6.66321	+	5.31373i	0.429215	+	0.342288i	−0.384933	+	0.922944i	$0.625776\pi$
$242$	−3.78076	+	14.6476i	−0.243036	+	0.941583i
$243$	−0.900969	+	0.433884i	−0.0577972	+	0.0278337i
$244$	−1.65792	+	29.3628i	−0.106138	+	1.87976i
$245$	−22.2758	+	7.97689i	−1.42315	+	0.509625i
$246$	0.240760	−	8.53478i	0.0153503	−	0.544158i
$247$	−11.0308	−	22.9056i	−0.701871	−	1.45745i
$248$	8.61651	−	26.9915i	0.547149	−	1.71396i
$249$	8.52494	−	10.6899i	0.540246	−	0.677447i
$250$	6.59731	+	1.70286i	0.417250	+	0.107698i
$251$	−2.39178	−	10.4791i	−0.150968	−	0.661434i	−0.992605	−	0.121390i	$-0.961265\pi$
$251$	−2.39178	−	10.4791i	−0.150968	−	0.661434i	0.841637	−	0.540044i	$-0.181592\pi$
$252$	−4.12605	+	3.31296i	−0.259917	+	0.208697i
$253$	0.563933	−	2.47075i	0.0354542	−	0.155335i
$254$	−0.941831	+	1.82241i	−0.0590957	+	0.114348i
$255$	0.878241	+	3.84783i	0.0549976	+	0.240960i
$256$	−15.6032	+	3.54139i	−0.975197	+	0.221337i
$257$	−0.802420	+	0.639909i	−0.0500536	+	0.0399164i	−0.648197	−	0.761473i	$-0.724477\pi$
$257$	−0.802420	+	0.639909i	−0.0500536	+	0.0399164i	0.598143	+	0.801389i	$0.295905\pi$
$258$	2.75676	+	6.16327i	0.171629	+	0.383708i
$259$	−13.7497	−	9.68095i	−0.854362	−	0.601545i
$260$	−25.8226	−	14.2819i	−1.60145	−	0.885726i
$261$	1.06255	+	4.65534i	0.0657703	+	0.288159i
$262$	−11.3848	−	15.1325i	−0.703353	−	0.934888i
$263$		−	12.1731i		−	0.750625i	−0.926898	−	0.375313i	$-0.877535\pi$
$263$		−	12.1731i		−	0.750625i	0.926898	−	0.375313i	$-0.122465\pi$
$264$	0.131595	−	1.55169i	0.00809912	−	0.0954998i
$265$	8.59760	−	6.85636i	0.528147	−	0.421183i
$266$	16.6012	−	14.1178i	1.01788	−	0.865618i
$267$	−12.8562	−	10.2525i	−0.786785	−	0.627440i
$268$	−10.4047	−	9.30389i	−0.635568	−	0.568326i
$269$	10.2390	−	21.2614i	0.624280	−	1.29633i	−0.313660	−	0.949535i	$-0.601555\pi$
$269$	10.2390	−	21.2614i	0.624280	−	1.29633i	0.937941	−	0.346796i	$-0.112730\pi$
$270$	2.19469	−	4.24665i	0.133565	−	0.258443i
$271$	−8.30091	+	10.4090i	−0.504245	+	0.632303i	−0.967181	−	0.254089i	$-0.918224\pi$
$271$	−8.30091	+	10.4090i	−0.504245	+	0.632303i	0.462936	+	0.886392i	$0.346796\pi$
$272$	3.30057	+	3.30458i	0.200127	+	0.200370i
$273$	−10.0875	+	5.62310i	−0.610520	+	0.340326i
$274$	−3.12155	−	4.14913i	−0.188580	−	0.250658i
$275$			3.53763i			0.213327i
$276$	0.518976	−	9.19137i	0.0312387	−	0.553255i
$277$	−5.83023	−	7.31088i	−0.350305	−	0.439268i	0.575195	−	0.818016i	$-0.304926\pi$
$277$	−5.83023	−	7.31088i	−0.350305	−	0.439268i	−0.925500	+	0.378748i	$0.876355\pi$
$278$	−6.17707	−	31.0789i	−0.370476	−	1.86399i
$279$	9.02537	+	4.34639i	0.540335	+	0.260211i
$280$	6.24010	−	24.5129i	0.372917	−	1.46492i
$281$	−1.97504	+	0.951129i	−0.117821	+	0.0567396i	−0.491866	−	0.870671i	$-0.663685\pi$
$281$	−1.97504	+	0.951129i	−0.117821	+	0.0567396i	0.374045	+	0.927411i	$0.377971\pi$
$282$	−3.69602	−	4.91270i	−0.220095	−	0.292547i
$283$	19.0479	−	9.17298i	1.13228	−	0.545277i	0.228614	−	0.973517i	$-0.426581\pi$
$283$	19.0479	−	9.17298i	1.13228	−	0.545277i	0.903665	+	0.428240i	$0.140866\pi$
$284$	−11.1123	+	1.88458i	−0.659393	+	0.111829i
$285$	−8.54182	+	17.7373i	−0.505974	+	1.05067i
$286$	0.849430	−	3.29090i	0.0502278	−	0.194595i
$287$	15.9450	−	0.953607i	0.941202	−	0.0562897i
$288$	−0.471183	−	5.63720i	−0.0277647	−	0.332175i
$289$	−3.47948	+	15.2446i	−0.204675	+	0.896740i
$290$	−17.4377	−	14.7293i	−1.02397	−	0.864935i
$291$	2.26915	+	0.517919i	0.133020	+	0.0303609i
$292$	7.14520	+	17.2649i	0.418141	+	1.01035i
$293$		−	2.38019i		−	0.139052i	−0.997580	−	0.0695262i	$-0.977851\pi$
$293$		−	2.38019i		−	0.139052i	0.997580	−	0.0695262i	$-0.0221487\pi$
$294$	−6.85196	−	7.14498i	−0.399614	−	0.416704i
$295$			16.7149i			0.973182i
$296$	16.7978	−	6.40331i	0.976355	−	0.372185i
$297$	0.536770	+	0.122514i	0.0311466	+	0.00710900i
$298$	−6.97892	+	8.26216i	−0.404278	+	0.478614i
$299$	4.47097	−	19.5886i	0.258563	−	1.13284i
$300$	2.14873	+	12.6698i	0.124057	+	0.731491i
$301$	−11.0329	+	6.15014i	−0.635927	+	0.354488i
$302$	1.22807	+	0.316982i	0.0706672	+	0.0182402i
$303$	−2.37775	+	4.93744i	−0.136598	+	0.283649i
$304$	2.59439	+	23.1522i	0.148799	+	1.32787i
$305$	44.7820	−	21.5659i	2.56421	−	1.23486i
$306$	−1.31955	+	0.992748i	−0.0754336	+	0.0567516i
$307$	−6.07001	+	2.92316i	−0.346434	+	0.166834i	−0.599007	−	0.800744i	$-0.704438\pi$
$307$	−6.07001	+	2.92316i	−0.346434	+	0.166834i	0.252573	+	0.967578i	$0.418723\pi$
$308$	2.91335	−	0.00970577i	0.166003	−	0.000553037i
$309$	16.4861	+	7.93929i	0.937861	+	0.451650i
$310$	−46.9669	+	9.33488i	−2.66754	+	0.530186i
$311$	−6.07162	−	7.61357i	−0.344290	−	0.431726i	0.579296	−	0.815117i	$-0.303327\pi$
$311$	−6.07162	−	7.61357i	−0.344290	−	0.431726i	−0.923586	+	0.383391i	$0.874756\pi$
$312$	1.04331	−	12.3021i	0.0590659	−	0.696468i
$313$			12.9221i			0.730402i	0.930929	+	0.365201i	$0.119000\pi$
$313$			12.9221i			0.730402i	−0.930929	+	0.365201i	$0.881000\pi$
$314$	−23.6713	+	17.8088i	−1.33585	+	1.00501i
$315$	8.27465	+	3.39229i	0.466224	+	0.191134i
$316$	−6.56561	−	5.87097i	−0.369344	−	0.330268i
$317$	−1.90261	+	2.38580i	−0.106861	+	0.134000i	−0.832386	−	0.554196i	$-0.813026\pi$
$317$	−1.90261	+	2.38580i	−0.106861	+	0.134000i	0.725525	+	0.688196i	$0.241597\pi$
$318$	4.08734	+	2.11236i	0.229207	+	0.118455i
$319$	1.14069	−	2.36867i	0.0638665	−	0.132620i
$320$	18.0004	+	20.1794i	1.00625	+	1.12806i
$321$	−11.6894	−	9.32201i	−0.652440	−	0.520304i
$322$	17.2143	−	0.543002i	0.959315	−	0.0302603i
$323$	5.31696	−	4.24014i	0.295844	−	0.235928i
$324$	1.99682	+	0.112747i	0.110934	+	0.00626373i
$325$			28.0470i			1.55577i
$326$	−16.8444	+	12.6727i	−0.932925	+	0.701876i
$327$	−2.31175	−	10.1284i	−0.127840	−	0.560104i
$328$	−8.68277	+	14.7041i	−0.479426	+	0.811900i
$329$	8.54804	−	7.69507i	0.471269	−	0.424243i
$330$	−2.40250	+	1.07461i	−0.132253	+	0.0591553i
$331$	16.0929	−	12.8336i	0.884544	−	0.705400i	−0.0718701	−	0.997414i	$-0.522897\pi$
$331$	16.0929	−	12.8336i	0.884544	−	0.705400i	0.956414	+	0.292014i	$0.0943253\pi$
$332$	−25.2675	+	10.4571i	−1.38673	+	0.573910i
$333$	1.41430	+	6.19645i	0.0775031	+	0.339563i
$334$	14.4339	+	7.45950i	0.789788	+	0.408166i
$335$	−5.24919	+	22.9982i	−0.286794	+	1.25653i
$336$	10.4281	−	1.80430i	0.568897	−	0.0984327i
$337$	0.428481	+	1.87730i	0.0233408	+	0.102263i	0.985257	−	0.171083i	$-0.0547267\pi$
$337$	0.428481	+	1.87730i	0.0233408	+	0.102263i	−0.961916	+	0.273346i	$0.911870\pi$
$338$	2.13966	−	8.28956i	0.116382	−	0.450893i
$339$	−0.520282	+	0.652413i	−0.0282578	+	0.0354342i
$340$	2.18752	−	7.58440i	0.118635	−	0.411322i
$341$	−2.39301	−	4.96913i	−0.129589	−	0.269094i
$342$	−8.23350	−	0.232261i	−0.445217	−	0.0125592i
$343$	12.1896	−	13.9432i	0.658176	−	0.752864i
$344$	1.14110	−	13.4551i	0.0615239	−	0.725452i
$345$	−14.0180	+	6.75071i	−0.754703	+	0.363446i
$346$	−8.09667	−	2.08987i	−0.435279	−	0.112352i
$347$	27.2900	+	21.7631i	1.46500	+	1.16830i	0.950463	+	0.310837i	$0.100609\pi$
$347$	27.2900	+	21.7631i	1.46500	+	1.16830i	0.514541	+	0.857466i	$0.327962\pi$
$348$	2.64660	−	9.17608i	0.141873	−	0.491890i
$349$	−17.9976	+	4.10783i	−0.963388	+	0.219887i	−0.675157	−	0.737674i	$-0.735924\pi$
$349$	−17.9976	+	4.10783i	−0.963388	+	0.219887i	−0.288231	+	0.957561i	$0.593067\pi$
$350$	−23.2584	+	6.08605i	−1.24321	+	0.325313i
$351$	4.25562	+	0.971316i	0.227148	+	0.0518450i
$352$	−1.73230	+	2.58831i	−0.0923318	+	0.137957i
$353$	−9.23169	+	2.10707i	−0.491353	+	0.112148i	−0.461016	−	0.887392i	$-0.652515\pi$
$353$	−9.23169	+	2.10707i	−0.491353	+	0.112148i	−0.0303366	+	0.999540i	$0.509658\pi$
$354$	−6.38384	+	2.85542i	−0.339298	+	0.151764i
$355$	11.8767	+	14.8929i	0.630349	+	0.790432i
$356$	12.5762	+	30.3878i	0.666538	+	1.61055i
$357$	−2.06689	−	2.29600i	−0.109391	−	0.121517i
$358$	0.490716	−	0.949520i	0.0259352	−	0.0501837i
$359$	−29.5742	+	6.75012i	−1.56087	+	0.356258i	−0.913796	−	0.406173i	$-0.866863\pi$
$359$	−29.5742	+	6.75012i	−1.56087	+	0.356258i	−0.647070	+	0.762430i	$0.724006\pi$
$360$	−7.95167	+	5.30790i	−0.419090	+	0.279751i
$361$	14.9223			0.785382
$362$	0.0390513	−	1.38435i	0.00205249	−	0.0727596i
$363$	6.66939	+	8.36315i	0.350052	+	0.438951i
$364$	23.0976	−	0.0769492i	1.21064	−	0.00403323i
$365$	19.6892	−	24.6894i	1.03058	−	1.29230i
$366$	15.8867	+	13.4192i	0.830409	+	0.701434i
$367$	33.5241	+	16.1444i	1.74995	+	0.842729i	0.978447	+	0.206498i	$0.0662066\pi$
$367$	33.5241	+	16.1444i	1.74995	+	0.842729i	0.771498	+	0.636231i	$0.219508\pi$
$368$	−9.80525	+	15.5839i	−0.511134	+	0.812369i
$369$	−4.72023	−	3.76426i	−0.245725	−	0.195960i
$370$	−23.2102	−	19.6053i	−1.20664	−	1.01923i
$371$	−3.26503	+	7.96424i	−0.169512	+	0.413483i
$372$	−11.5886	−	16.3431i	−0.600841	−	0.847351i
$373$	17.6503			0.913897			0.456949	−	0.889493i	$-0.348942\pi$
$373$	17.6503			0.913897			0.456949	+	0.889493i	$0.348942\pi$
$374$	0.908796	+	0.0256364i	0.0469927	+	0.00132563i
$375$	3.76678	−	3.00391i	0.194516	−	0.155121i
$376$	1.71325	+	12.1756i	0.0883544	+	0.627909i
$377$	9.04362	−	18.7793i	0.465770	−	0.967182i
$378$	0.117967	+	3.73980i	0.00606757	+	0.192354i
$379$	−9.25301	−	19.2141i	−0.475295	−	0.986960i	−0.991453	−	0.130467i	$-0.958352\pi$
$379$	−9.25301	−	19.2141i	−0.475295	−	0.986960i	0.516158	−	0.856494i	$-0.327362\pi$
$380$	32.1186	−	22.7747i	1.64765	−	1.16832i
$381$	0.629373	+	1.30691i	0.0322438	+	0.0669549i
$382$	−13.4127	+	2.66583i	−0.686252	+	0.136396i
$383$	3.95599	+	1.90511i	0.202142	+	0.0973464i	0.532216	−	0.846609i	$-0.321359\pi$
$383$	3.95599	+	1.90511i	0.202142	+	0.0973464i	−0.330074	+	0.943955i	$0.607074\pi$
$384$	−4.63199	+	10.3220i	−0.236375	+	0.526745i
$385$	−2.39738	−	4.30073i	−0.122182	−	0.219186i
$386$	−1.30703	−	6.57612i	−0.0665262	−	0.334715i
$387$	4.65448	+	1.06236i	0.236601	+	0.0540026i
$388$	−3.47003	−	3.10290i	−0.176164	−	0.157526i
$389$	7.58757	−	33.2433i	0.384705	−	1.68550i	−0.297806	−	0.954626i	$-0.596255\pi$
$389$	7.58757	−	33.2433i	0.384705	−	1.68550i	0.682511	−	0.730876i	$-0.260888\pi$
$390$	−19.0474	+	8.51971i	−0.964505	+	0.431413i
$391$	5.37464			0.271807
$392$	5.07585	+	19.1373i	0.256369	+	0.966579i
$393$	−13.3904			−0.675456
$394$	−19.3567	+	8.65803i	−0.975175	+	0.436185i
$395$	−3.31236	+	14.5124i	−0.166663	+	0.730199i
$396$	−0.820840	−	0.733995i	−0.0412487	−	0.0368847i
$397$	−23.3774	−	5.33573i	−1.17328	−	0.267793i	−0.408910	−	0.912575i	$-0.634091\pi$
$397$	−23.3774	−	5.33573i	−1.17328	−	0.267793i	−0.764367	+	0.644782i	$0.776948\pi$
$398$	2.10299	+	10.5808i	0.105413	+	0.530369i
$399$	−0.919945	−	15.3821i	−0.0460548	−	0.770069i
$400$	8.50337	−	24.2540i	0.425168	−	1.21270i
$401$	21.4771	+	10.3428i	1.07251	+	0.516495i	0.884916	−	0.465751i	$-0.154216\pi$
$401$	21.4771	+	10.3428i	1.07251	+	0.516495i	0.187597	+	0.982246i	$0.439930\pi$
$402$	−9.68030	+	1.92400i	−0.482810	+	0.0959606i
$403$	−18.9722	−	39.3962i	−0.945074	−	1.96247i
$404$	8.94071	−	6.33969i	0.444817	−	0.315411i
$405$	−1.46659	−	3.04540i	−0.0728754	−	0.151327i
$406$	17.5354	+	3.42455i	0.870267	+	0.169958i
$407$	1.51831	−	3.15280i	0.0752597	−	0.156278i
$408$	3.27036	−	0.460179i	0.161907	−	0.0227823i
$409$	−16.3405	+	13.0311i	−0.807987	+	0.644349i	−0.937795	−	0.347191i	$-0.887136\pi$
$409$	−16.3405	+	13.0311i	−0.807987	+	0.644349i	0.129807	+	0.991539i	$0.458564\pi$
$410$	28.8488	+	0.813801i	1.42474	+	0.0401908i
$411$	−3.67147			−0.181100
$412$	−21.1682	−	29.8530i	−1.04288	−	1.47075i
$413$	−6.37025	−	11.4278i	−0.313459	−	0.562324i
$414$	−4.97296	−	4.20059i	−0.244408	−	0.206448i
$415$	36.1335	+	28.8155i	1.77372	+	1.41450i
$416$	−13.7340	+	20.5206i	−0.673364	+	1.00611i
$417$	−20.1871	−	9.72158i	−0.988565	−	0.476068i
$418$	3.46443	+	2.92635i	0.169451	+	0.143133i
$419$	17.3511	−	21.7576i	0.847658	−	1.06293i	−0.149587	−	0.988749i	$-0.547794\pi$
$419$	17.3511	−	21.7576i	0.847658	−	1.06293i	0.997245	−	0.0741805i	$-0.0236341\pi$
$420$	−11.1983	−	13.9466i	−0.546420	−	0.680526i
$421$	15.9939	+	20.0558i	0.779497	+	0.977458i	0.999998	+	0.00207142i	$0.000659353\pi$
$421$	15.9939	+	20.0558i	0.779497	+	0.977458i	−0.220501	+	0.975387i	$0.570769\pi$
$422$	0.910744	−	32.2853i	0.0443343	−	1.57163i
$423$	−4.34713			−0.211365
$424$	−5.10878	−	7.65337i	−0.248104	−	0.371681i
$425$	−7.31438	+	1.66946i	−0.354800	+	0.0809807i
$426$	−3.65906	+	7.08015i	−0.177282	+	0.343035i
$427$	−22.3978	+	31.8112i	−1.08391	+	1.53945i
$428$	11.4349	+	27.6299i	0.552725	+	1.33554i
$429$	−1.49842	−	1.87897i	−0.0723446	−	0.0907173i
$430$	−20.8327	+	9.31825i	−1.00464	+	0.449366i
$431$	−7.48568	+	1.70856i	−0.360573	+	0.0822984i	−0.398970	−	0.916964i	$-0.630632\pi$
$431$	−7.48568	+	1.70856i	−0.360573	+	0.0822984i	0.0383968	+	0.999263i	$0.487775\pi$
$432$	−3.38560	−	2.13018i	−0.162890	−	0.102489i
$433$	15.3050	+	3.49326i	0.735511	+	0.167876i	0.573838	−	0.818969i	$-0.305454\pi$
$433$	15.3050	+	3.49326i	0.735511	+	0.167876i	0.161673	+	0.986844i	$0.448311\pi$
$434$	28.5530	−	24.2817i	1.37059	−	1.16556i
$435$	−15.7357	+	3.59157i	−0.754470	+	0.172203i
$436$	−5.75810	+	19.9640i	−0.275763	+	0.956104i
$437$	20.9603	+	16.7153i	1.00267	+	0.799599i
$438$	12.7930	+	3.30206i	0.611274	+	0.157779i
$439$	−17.0841	+	8.22727i	−0.815380	+	0.392666i	−0.794612	−	0.607118i	$-0.792325\pi$
$439$	−17.0841	+	8.22727i	−0.815380	+	0.392666i	−0.0207681	+	0.999784i	$0.506611\pi$
$440$	5.24493	+	0.444810i	0.250042	+	0.0212055i
$441$	−6.95010	+	0.834302i	−0.330957	+	0.0397286i
$442$	7.20511	+	0.203250i	0.342712	+	0.00966764i
$443$	−11.6643	−	24.2211i	−0.554186	−	1.15078i	−0.970398	−	0.241511i	$-0.922357\pi$
$443$	−11.6643	−	24.2211i	−0.554186	−	1.15078i	0.416212	−	0.909268i	$-0.363357\pi$
$444$	3.52273	−	12.2137i	0.167182	−	0.579638i
$445$	34.6548	−	43.4557i	1.64279	−	2.06000i
$446$	−0.255790	+	0.990994i	−0.0121120	+	0.0469249i
$447$	1.70173	+	7.45577i	0.0804891	+	0.352646i
$448$	−19.9972	−	6.93624i	−0.944780	−	0.327706i
$449$	−2.02422	+	8.86867i	−0.0955287	+	0.418539i	−0.999967	−	0.00806489i	$-0.997433\pi$
$449$	−2.02422	+	8.86867i	−0.0955287	+	0.418539i	0.904439	+	0.426603i	$0.140290\pi$
$450$	8.07251	+	4.17191i	0.380542	+	0.196666i
$451$	0.739668	+	3.24070i	0.0348296	+	0.152598i
$452$	1.54209	−	0.638206i	0.0725338	−	0.0300187i
$453$	0.701173	−	0.559167i	0.0329440	−	0.0262720i
$454$	36.4265	−	16.2932i	1.70958	−	0.764677i
$455$	−19.0069	−	34.0970i	−0.891057	−	1.59849i
$456$	14.1851	+	8.37627i	0.664277	+	0.392255i
$457$	−1.10193	−	4.82786i	−0.0515460	−	0.225838i	0.942594	−	0.333942i	$-0.108379\pi$
$457$	−1.10193	−	4.82786i	−0.0515460	−	0.225838i	−0.994140	+	0.108104i	$0.965522\pi$
$458$	7.61223	−	5.72698i	0.355696	−	0.267604i
$459$			1.16764i			0.0545007i
$460$	31.0681	+	1.75421i	1.44856	+	0.0817905i
$461$	−24.5902	+	19.6100i	−1.14528	+	0.913329i	−0.997135	−	0.0756375i	$-0.975901\pi$
$461$	−24.5902	+	19.6100i	−1.14528	+	0.913329i	−0.148142	+	0.988966i	$0.547329\pi$
$462$	1.23301	−	1.65031i	0.0573647	−	0.0767796i
$463$	−10.5684	−	8.42802i	−0.491155	−	0.391683i	0.346356	−	0.938103i	$-0.387419\pi$
$463$	−10.5684	−	8.42802i	−0.491155	−	0.391683i	−0.837511	+	0.546420i	$0.815990\pi$
$464$	−13.5141	+	13.4977i	−0.627377	+	0.626616i
$465$	−14.6914	+	30.5070i	−0.681297	+	1.41473i
$466$	17.3365	+	8.95960i	0.803099	+	0.415045i
$467$	6.75162	−	8.46626i	0.312428	−	0.391772i	−0.600681	−	0.799489i	$-0.705104\pi$
$467$	6.75162	−	8.46626i	0.312428	−	0.391772i	0.913108	+	0.407717i	$0.133675\pi$
$468$	−6.50777	−	5.81926i	−0.300822	−	0.268995i
$469$	−5.17607	−	17.7241i	−0.239009	−	0.818423i
$470$	16.6056	−	12.4931i	0.765960	−	0.576262i
$471$			20.9462i			0.965148i
$472$	13.9367	+	1.18194i	0.641487	+	0.0544030i
$473$	−1.63887	−	2.05508i	−0.0753552	−	0.0944925i
$474$	−6.10850	+	1.21409i	−0.280573	+	0.0557651i
$475$	−33.7170	−	16.2373i	−1.54704	−	0.745017i
$476$	1.39492	+	6.01904i	0.0639360	+	0.275882i
$477$	2.93116	−	1.41157i	0.134208	−	0.0646314i
$478$	−11.6562	+	8.76942i	−0.533142	+	0.401104i
$479$	−4.04149	+	1.94628i	−0.184660	+	0.0889278i	−0.523930	−	0.851762i	$-0.675535\pi$
$479$	−4.04149	+	1.94628i	−0.184660	+	0.0889278i	0.339269	+	0.940689i	$0.389820\pi$
$480$	19.0545	−	1.59266i	0.869716	−	0.0726948i
$481$	12.0374	−	24.9960i	0.548859	−	1.13972i
$482$	−11.6702	−	3.01226i	−0.531565	−	0.137205i
$483$	7.01114	−	9.95778i	0.319018	−	0.453095i
$484$	−3.57718	−	21.0926i	−0.162599	−	0.958752i
$485$	−1.75064	+	7.67005i	−0.0794924	+	0.348279i
$486$	0.912575	−	1.08037i	0.0413952	−	0.0490067i
$487$	−25.4459	−	5.80787i	−1.15307	−	0.263180i	−0.397090	−	0.917780i	$-0.629980\pi$
$487$	−25.4459	−	5.80787i	−1.15307	−	0.263180i	−0.755975	+	0.654600i	$0.772837\pi$
$488$	−14.8147	−	38.8635i	−0.670630	−	1.75927i
$489$			14.9052i			0.674038i
$490$	24.1510	−	23.1606i	1.09103	−	1.04629i
$491$			38.7103i			1.74697i	0.486851	+	0.873485i	$0.338146\pi$
$491$			38.7103i			1.74697i	−0.486851	+	0.873485i	$0.661854\pi$
$492$	4.61744	+	11.1571i	0.208170	+	0.503000i
$493$	5.43576	+	1.24068i	0.244814	+	0.0558772i
$494$	27.4667	+	23.2007i	1.23578	+	1.04385i
$495$	−0.414115	+	1.81436i	−0.0186131	+	0.0815493i
$496$	4.46219	+	39.8204i	0.200358	+	1.78799i
$497$	−13.7958	−	5.65573i	−0.618825	−	0.253694i
$498$	−4.83263	+	18.7228i	−0.216556	+	0.838990i
$499$	−5.04666	+	10.4795i	−0.225920	+	0.469127i	−0.982859	−	0.184358i	$-0.940979\pi$
$499$	−5.04666	+	10.4795i	−0.225920	+	0.469127i	0.756940	+	0.653485i	$0.226694\pi$
$500$	−9.50013	+	1.61117i	−0.424859	+	0.0720537i
$501$	10.3510	−	4.98477i	0.462448	−	0.222703i
$502$	9.13865	+	12.1470i	0.407878	+	0.542146i
$503$	4.33690	−	2.08854i	0.193373	−	0.0931235i	−0.334692	−	0.942328i	$-0.608632\pi$
$503$	4.33690	−	2.08854i	0.193373	−	0.0931235i	0.528065	+	0.849204i	$0.322918\pi$
$504$	3.41355	−	6.65941i	0.152052	−	0.296634i
$505$	−16.6892	−	8.03712i	−0.742662	−	0.357647i
$506$	0.698676	+	3.51527i	0.0310600	+	0.156273i
$507$	−3.77443	−	4.73299i	−0.167628	−	0.210199i
$508$	0.163546	−	2.89650i	0.00725619	−	0.128511i
$509$		−	5.99123i		−	0.265557i	−0.991146	−	0.132778i	$-0.957610\pi$
$509$		−	5.99123i		−	0.265557i	0.991146	−	0.132778i	$-0.0423898\pi$
$510$	−3.35563	−	4.46026i	−0.148590	−	0.197504i
$511$	−4.05180	+	24.3836i	−0.179241	+	1.07867i
$512$	18.0981	−	13.5815i	0.799831	−	0.600225i
$513$	−3.63138	+	4.55361i	−0.160329	+	0.201047i
$514$	0.666388	−	1.28944i	0.0293931	−	0.0568747i
$515$	−26.8359	+	55.7253i	−1.18253	+	2.45555i
$516$	−7.11773	−	6.36468i	−0.313341	−	0.280189i
$517$	1.87125	+	1.49227i	0.0822975	+	0.0656301i
$518$	23.3403	+	4.55822i	1.02551	+	0.200277i
$519$	−4.62285	+	3.68660i	−0.202921	+	0.161824i
$520$	41.5828	+	3.52654i	1.82353	+	0.154649i
$521$			25.4917i			1.11681i	0.829568	+	0.558406i	$0.188587\pi$
$521$			25.4917i			1.11681i	−0.829568	+	0.558406i	$0.811413\pi$
$522$	−4.05985	−	5.39630i	−0.177695	−	0.236190i
$523$	0.655041	+	2.86992i	0.0286429	+	0.125493i	0.987228	−	0.159313i	$-0.0509279\pi$
$523$	0.655041	+	2.86992i	0.0286429	+	0.125493i	−0.958585	+	0.284806i	$0.908071\pi$
$524$	23.4352	+	12.9615i	1.02377	+	0.566225i
$525$	−6.44844	+	15.7294i	−0.281433	+	0.686487i
$526$	7.02913	+	15.7150i	0.306485	+	0.685205i
$527$	9.14485	−	7.29277i	0.398356	−	0.317678i
$528$	0.726110	+	2.07915i	0.0315999	+	0.0904835i
$529$	−0.403289	−	1.76692i	−0.0175343	−	0.0768228i
$530$	−7.14007	+	13.8158i	−0.310145	+	0.600120i
$531$	−1.10038	+	4.82106i	−0.0477522	+	0.209216i
$532$	−13.2794	+	27.8115i	−0.575734	+	1.20578i
$533$	5.86423	+	25.6929i	0.254008	+	1.11288i
$534$	22.5169	+	5.81193i	0.974401	+	0.251507i
$535$	31.5097	−	39.5119i	1.36228	−	1.70825i
$536$	18.8044	+	6.00293i	0.812226	+	0.259287i
$537$	−0.327918	−	0.680929i	−0.0141507	−	0.0293843i
$538$	−0.941057	+	33.3599i	−0.0405718	+	1.43825i
$539$	3.27811	+	2.02668i	0.141198	+	0.0872954i
$540$	−0.381101	+	6.74953i	−0.0164000	+	0.290454i
$541$	9.41642	−	4.53471i	0.404844	−	0.194962i	−0.220370	−	0.975416i	$-0.570726\pi$
$541$	9.41642	−	4.53471i	0.404844	−	0.194962i	0.625213	+	0.780454i	$0.285012\pi$
$542$	4.70564	−	18.2308i	0.202125	−	0.783081i
$543$	−0.765624	−	0.610564i	−0.0328561	−	0.0262018i
$544$	−6.16907	−	2.36023i	−0.264497	−	0.101194i
$545$	34.2356	−	7.81404i	1.46649	−	0.334717i
$546$	9.77552	−	13.0840i	0.418354	−	0.559944i
$547$	40.4138	+	9.22419i	1.72797	+	0.394398i	0.967078	−	0.254480i	$-0.0819044\pi$
$547$	40.4138	+	9.22419i	1.72797	+	0.394398i	0.760892	+	0.648878i	$0.224762\pi$
$548$	6.42564	+	3.55387i	0.274490	+	0.151814i
$549$	14.3361	−	3.27212i	0.611850	−	0.139651i
$550$	−2.04274	−	4.56694i	−0.0871027	−	0.194735i
$551$	17.3401	+	21.7438i	0.738712	+	0.926316i
$552$	4.63741	+	12.1653i	0.197381	+	0.517791i
$553$	−3.26622	−	11.1843i	−0.138894	−	0.475606i
$554$	11.7481	+	6.07148i	0.499130	+	0.257953i
$555$	−20.9449	+	4.78053i	−0.889061	+	0.202922i
$556$	25.9203	+	36.5547i	1.09926	+	1.55026i
$557$	−28.1240			−1.19165			−0.595827	−	0.803113i	$-0.703175\pi$
$557$	−28.1240			−1.19165			−0.595827	+	0.803113i	$0.703175\pi$
$558$	−14.1611	−	0.399474i	−0.599488	−	0.0169111i
$559$	−12.9933	−	16.2930i	−0.549556	−	0.689122i
$560$	6.09880	+	35.2483i	0.257721	+	1.48951i
$561$	0.400824	−	0.502617i	0.0169228	−	0.0212205i
$562$	2.00048	−	2.36832i	0.0843853	−	0.0999015i
$563$	−29.1757	−	14.0503i	−1.22961	−	0.592149i	−0.297637	−	0.954679i	$-0.596199\pi$
$563$	−29.1757	−	14.0503i	−1.22961	−	0.592149i	−0.931972	+	0.362531i	$0.881913\pi$
$564$	7.60815	+	4.20789i	0.320361	+	0.177184i
$565$	−2.20525	−	1.75863i	−0.0927755	−	0.0739860i
$566$	−19.2933	+	22.8408i	−0.810956	+	0.960069i
$567$	2.16332	+	1.52317i	0.0908510	+	0.0639670i
$568$	13.2573	−	8.84950i	0.556263	−	0.371317i
$569$	−44.7745			−1.87705			−0.938523	−	0.345218i	$-0.887805\pi$
$569$	−44.7745			−1.87705			−0.938523	+	0.345218i	$0.887805\pi$
$570$	0.785074	−	27.8304i	0.0328831	−	1.16569i
$571$	16.9590	−	13.5244i	0.709712	−	0.565977i	−0.200713	−	0.979650i	$-0.564326\pi$
$571$	16.9590	−	13.5244i	0.709712	−	0.565977i	0.910425	+	0.413673i	$0.135754\pi$
$572$	0.803692	+	4.73891i	0.0336041	+	0.198144i
$573$	−4.19553	+	8.71210i	−0.175271	+	0.363953i
$574$	−20.0337	+	10.4382i	−0.836189	+	0.435682i
$575$	−12.8325	−	26.6470i	−0.535153	−	1.11126i
$576$	3.86337	+	7.00531i	0.160974	+	0.291888i
$577$	−7.57248	−	15.7244i	−0.315246	−	0.654616i	0.681790	−	0.731548i	$-0.261202\pi$
$577$	−7.57248	−	15.7244i	−0.315246	−	0.654616i	−0.997036	+	0.0769320i	$0.975488\pi$
$578$	−4.31084	−	21.6893i	−0.179307	−	0.902155i
$579$	−4.27147	−	2.05703i	−0.177516	−	0.0854873i
$580$	31.0164	+	8.94588i	1.28789	+	0.371458i
$581$	−35.6859	−	5.92989i	−1.48050	−	0.246013i
$582$	−3.22844	+	0.641667i	−0.133823	+	0.0265980i
$583$	−1.74630	−	0.398580i	−0.0723242	−	0.0165075i
$584$	−19.1934	−	18.1624i	−0.794230	−	0.751564i
$585$	−3.28319	+	14.3846i	−0.135743	+	0.594729i
$586$	1.37440	+	3.07273i	0.0567759	+	0.126933i
$587$	20.2440			0.835557			0.417779	−	0.908549i	$-0.362809\pi$
$587$	20.2440			0.835557			0.417779	+	0.908549i	$0.362809\pi$
$588$	12.9713	+	5.26733i	0.534928	+	0.217221i
$589$	58.3442			2.40403
$590$	−9.65173	−	21.5783i	−0.397356	−	0.888364i
$591$	−3.33649	+	14.6181i	−0.137245	+	0.601309i
$592$	−17.9878	+	17.9660i	−0.739296	+	0.738398i
$593$	12.4525	+	2.84220i	0.511362	+	0.116715i	0.470413	−	0.882446i	$-0.344105\pi$
$593$	12.4525	+	2.84220i	0.511362	+	0.116715i	0.0409487	+	0.999161i	$0.486962\pi$
$594$	−0.763691	+	0.151787i	−0.0313346	+	0.00622790i
$595$	7.76080	−	6.98638i	0.318162	−	0.286414i
$596$	4.23866	−	14.6960i	0.173622	−	0.601970i
$597$	6.87270	+	3.30972i	0.281281	+	0.135458i
$598$	5.53924	+	27.8698i	0.226516	+	1.13968i
$599$	1.67833	+	3.48509i	0.0685747	+	0.142397i	0.932439	−	0.361328i	$-0.117677\pi$
$599$	1.67833	+	3.48509i	0.0685747	+	0.142397i	−0.863864	+	0.503725i	$0.831962\pi$
$600$	−10.0899	−	15.1154i	−0.411916	−	0.617085i
$601$	4.60580	+	9.56405i	0.187875	+	0.390126i	0.973537	−	0.228530i	$-0.0733919\pi$
$601$	4.60580	+	9.56405i	0.187875	+	0.390126i	−0.785662	+	0.618656i	$0.787678\pi$
$602$	10.6918	−	14.3103i	0.435764	−	0.583246i
$603$	−3.02803	+	6.28777i	−0.123311	+	0.256058i
$604$	−1.76842	+	0.299914i	−0.0719559	+	0.0122033i
$605$	−28.2686	+	22.5435i	−1.14928	+	0.916522i
$606$	0.218537	−	7.74701i	0.00887747	−	0.314701i
$607$	−32.2315			−1.30824			−0.654119	−	0.756392i	$-0.726960\pi$
$607$	−32.2315			−1.30824			−0.654119	+	0.756392i	$0.726960\pi$
$608$	−16.7181	−	28.3905i	−0.678007	−	1.15139i
$609$	9.38951	−	8.45257i	0.380482	−	0.342515i
$610$	−45.3589	+	53.6992i	−1.83653	+	2.17422i
$611$	14.8356	+	11.8310i	0.600185	+	0.478632i
$612$	1.13024	−	2.04355i	0.0456872	−	0.0826054i
$613$	−23.7881	−	11.4557i	−0.960791	−	0.462693i	−0.113334	−	0.993557i	$-0.536153\pi$
$613$	−23.7881	−	11.4557i	−0.960791	−	0.462693i	−0.847457	+	0.530864i	$0.821867\pi$
$614$	6.14821	−	7.27870i	0.248121	−	0.293744i
$615$	12.7237	−	15.9551i	0.513070	−	0.643370i
$616$	−3.75541	+	1.69479i	−0.151310	+	0.0682850i
$617$	23.3158	+	29.2371i	0.938658	+	1.17704i	0.984018	+	0.178069i	$0.0569851\pi$
$617$	23.3158	+	29.2371i	0.938658	+	1.17704i	−0.0453600	+	0.998971i	$0.514443\pi$
$618$	−25.8673	−	0.729695i	−1.04053	−	0.0293526i
$619$	−30.3215			−1.21872			−0.609362	−	0.792892i	$-0.708574\pi$
$619$	−30.3215			−1.21872			−0.609362	+	0.792892i	$0.708574\pi$
$620$	55.2420	−	39.1711i	2.21857	−	1.57315i
$621$	−4.48760	+	1.02426i	−0.180081	+	0.0411023i
$622$	12.2345	+	6.32285i	0.490559	+	0.253523i
$623$	−7.13154	+	42.9174i	−0.285719	+	1.71945i
$624$	5.75674	+	16.4839i	0.230454	+	0.659885i
$625$	−9.87708	−	12.3855i	−0.395083	−	0.495419i
$626$	−7.46165	−	16.6819i	−0.298227	−	0.666744i
$627$	3.12630	−	0.713557i	0.124852	−	0.0284967i
$628$	20.2752	−	36.6590i	0.809070	−	1.46285i
$629$	7.23521	+	1.65139i	0.288487	+	0.0658452i
$630$	−12.6410	+	0.398745i	−0.503631	+	0.0158864i
$631$	−6.16689	+	1.40755i	−0.245500	+	0.0560338i	−0.343500	−	0.939153i	$-0.611613\pi$
$631$	−6.16689	+	1.40755i	−0.245500	+	0.0560338i	0.0980001	+	0.995186i	$0.468755\pi$
$632$	11.8660	+	3.78799i	0.472005	+	0.150678i
$633$	−17.8557	−	14.2394i	−0.709699	−	0.565966i
$634$	1.07856	−	4.17859i	0.0428349	−	0.165953i
$635$	−4.41753	+	2.12737i	−0.175304	+	0.0844221i
$636$	−6.49633	−	0.366805i	−0.257596	−	0.0145448i
$637$	25.9895	+	16.0679i	1.02974	+	0.636634i
$638$	−0.104840	+	3.71653i	−0.00415067	+	0.147139i
$639$	2.44514	+	5.07739i	0.0967284	+	0.200858i
$640$	−34.8900	−	15.6568i	−1.37915	−	0.618889i
$641$	−26.7560	+	33.5510i	−1.05680	+	1.32518i	−0.113390	+	0.993551i	$0.536171\pi$
$641$	−26.7560	+	33.5510i	−1.05680	+	1.32518i	−0.943409	+	0.331633i	$0.892401\pi$
$642$	20.4734	+	5.28448i	0.808020	+	0.208562i
$643$	5.61964	+	24.6213i	0.221617	+	0.970968i	0.956261	+	0.292515i	$0.0944921\pi$
$643$	5.61964	+	24.6213i	0.221617	+	0.970968i	−0.734644	+	0.678453i	$0.762651\pi$
$644$	−21.9094	+	10.6411i	−0.863351	+	0.419317i
$645$	−3.59091	+	15.7328i	−0.141392	+	0.619479i
$646$	−4.41559	+	8.54402i	−0.173729	+	0.336160i
$647$	−4.51770	−	19.7933i	−0.177609	−	0.778156i	−0.982730	−	0.185045i	$-0.940757\pi$
$647$	−4.51770	−	19.7933i	−0.177609	−	0.778156i	0.805121	−	0.593110i	$-0.202100\pi$
$648$	−2.64291	+	1.00747i	−0.103823	+	0.0395773i
$649$	2.12862	−	1.69752i	0.0835558	−	0.0666335i
$650$	−16.1952	−	36.2075i	−0.635229	−	1.42018i
$651$	−1.58225	−	26.4563i	−0.0620132	−	1.03690i
$652$	14.4278	−	26.0864i	0.565036	−	1.02162i
$653$	−2.04162	−	8.94493i	−0.0798948	−	0.350042i	0.919142	−	0.393927i	$-0.128884\pi$
$653$	−2.04162	−	8.94493i	−0.0798948	−	0.350042i	−0.999037	+	0.0438848i	$0.986027\pi$
$654$	8.83286	+	11.7405i	0.345392	+	0.459091i
$655$		−	45.2614i		−	1.76851i
$656$	2.71847	−	23.9961i	0.106138	−	0.936891i
$657$	7.30427	−	5.82496i	0.284967	−	0.227253i
$658$	−6.59179	+	14.8699i	−0.256975	+	0.579690i
$659$	−34.8708	−	27.8085i	−1.35837	−	1.08327i	−0.988012	−	0.154377i	$-0.950663\pi$
$659$	−34.8708	−	27.8085i	−1.35837	−	1.08327i	−0.370360	−	0.928888i	$-0.620766\pi$
$660$	2.48101	−	2.77455i	0.0965731	−	0.107999i
$661$	11.4906	−	23.8605i	0.446933	−	0.928066i	−0.548814	−	0.835944i	$-0.684921\pi$
$661$	11.4906	−	23.8605i	0.446933	−	0.928066i	0.995748	−	0.0921223i	$-0.0293651\pi$
$662$	−13.3647	+	25.8602i	−0.519433	+	1.00509i
$663$	3.17781	−	3.98484i	0.123416	−	0.154758i
$664$	26.5810	−	28.0900i	1.03154	−	1.09010i
$665$	51.9937	−	3.10954i	2.01623	−	0.120583i
$666$	−5.40383	−	7.18270i	−0.209394	−	0.278324i
$667$			21.9796i			0.851055i
$668$	−22.9409	−	1.29532i	−0.887610	−	0.0501175i
$669$	0.451223	+	0.565815i	0.0174453	+	0.0218757i
$670$	−6.50341	−	32.7208i	−0.251248	−	1.26411i
$671$	−7.29431	−	3.51276i	−0.281594	−	0.135608i
$672$	−12.4203	+	8.35077i	−0.479125	+	0.322138i
$673$	18.8787	−	9.09149i	0.727719	−	0.350451i	−0.0330674	−	0.999453i	$-0.510528\pi$
$673$	18.8787	−	9.09149i	0.727719	−	0.350451i	0.760787	+	0.649002i	$0.224813\pi$
$674$	−1.63716	−	2.17609i	−0.0630611	−	0.0838200i
$675$	5.78904	−	2.78786i	0.222820	−	0.107305i
$676$	2.02445	+	11.9370i	0.0778633	+	0.459115i
$677$	−17.8086	+	36.9800i	−0.684442	+	1.42126i	0.211630	+	0.977350i	$0.432123\pi$
$677$	−17.8086	+	36.9800i	−0.684442	+	1.42126i	−0.896072	+	0.443909i	$0.853591\pi$
$678$	0.294939	−	1.14267i	0.0113270	−	0.0438838i
$679$	−1.72625	−	5.91109i	−0.0662475	−	0.226847i
$680$	1.55547	+	11.0543i	0.0596496	+	0.423912i
$681$	6.27880	−	27.5092i	0.240604	−	1.05416i
$682$	5.95861	+	5.03314i	0.228167	+	0.192729i
$683$	−10.2990	−	2.35069i	−0.394081	−	0.0899465i	0.0208882	−	0.999782i	$-0.493351\pi$
$683$	−10.2990	−	2.35069i	−0.394081	−	0.0899465i	−0.414969	+	0.909835i	$0.636208\pi$
$684$	10.7632	−	4.45444i	0.411542	−	0.170320i
$685$		−	12.4101i		−	0.474165i
$686$	−7.68498	+	25.0388i	−0.293414	+	0.955986i
$687$		−	6.73588i		−	0.256990i
$688$	6.29630	+	18.0289i	0.240044	+	0.687346i
$689$	−13.8450	−	3.16002i	−0.527451	−	0.120387i
$690$	14.1986	−	16.8093i	0.540530	−	0.639920i
$691$	−4.37600	+	19.1725i	−0.166471	+	0.729357i	0.820918	+	0.571046i	$0.193462\pi$
$691$	−4.37600	+	19.1725i	−0.166471	+	0.729357i	−0.987389	+	0.158311i	$0.949395\pi$
$692$	11.6592	−	1.97734i	0.443217	−	0.0751671i
$693$	−0.408347	−	1.39828i	−0.0155118	−	0.0531161i
$694$	−47.7969	−	12.3371i	−1.81435	−	0.468309i
$695$	32.8603	−	68.2351i	1.24646	−	2.58831i
$696$	1.88191	+	13.3742i	0.0713335	+	0.506947i
$697$	−6.35138	+	3.05866i	−0.240576	+	0.115855i
$698$	20.8621	−	15.6954i	0.789643	−	0.594079i
$699$	12.4325	−	5.98720i	0.470242	−	0.226457i
$700$	26.5113	−	21.2870i	1.00203	−	0.804571i
$701$	8.73891	+	4.20844i	0.330064	+	0.158951i	0.591575	−	0.806250i	$-0.298506\pi$
$701$	8.73891	+	4.20844i	0.330064	+	0.158951i	−0.261511	+	0.965201i	$0.584221\pi$
$702$	−6.05469	+	1.20340i	−0.228520	+	0.0454193i
$703$	23.0803	+	28.9418i	0.870492	+	1.09156i
$704$	0.741752	−	4.34169i	0.0279558	−	0.163633i
$705$		−	14.6939i		−	0.553405i
$706$	10.7010	−	8.05081i	0.402739	−	0.302996i
$707$	14.4732	−	0.865588i	0.544322	−	0.0325538i
$708$	6.59246	−	7.37247i	0.247760	−	0.277074i
$709$	−10.8937	+	13.6603i	−0.409122	+	0.513023i	−0.943115	−	0.332466i	$-0.892119\pi$
$709$	−10.8937	+	13.6603i	−0.409122	+	0.513023i	0.533993	+	0.845489i	$0.320691\pi$
$710$	−23.9319	−	12.3681i	−0.898149	−	0.464167i
$711$	−1.91076	+	3.96773i	−0.0716590	+	0.148802i
$712$	−33.7822	−	31.9674i	−1.26604	−	1.19803i
$713$	36.0503	+	28.7492i	1.35010	+	1.07667i
$714$	3.99405	+	1.77055i	0.149474	+	0.0662612i
$715$	6.35117	−	5.06489i	0.237520	−	0.189416i
$716$	−0.0852115	+	1.50915i	−0.00318450	+	0.0563994i
$717$			10.3143i			0.385195i
$718$	34.2813	−	25.7912i	1.27937	−	0.962519i
$719$	−0.123450	−	0.540869i	−0.00460390	−	0.0201710i	0.972574	−	0.232595i	$-0.0747215\pi$
$719$	−0.123450	−	0.540869i	−0.00460390	−	0.0201710i	−0.977178	+	0.212424i	$0.931864\pi$
$720$	7.20032	−	11.4438i	0.268340	−	0.426486i
$721$	−2.89020	−	48.3261i	−0.107637	−	1.79976i
$722$	−19.2640	+	8.61658i	−0.716932	+	0.320676i
$723$	−6.66321	+	5.31373i	−0.247807	+	0.197620i
$724$	0.748951	+	1.80968i	0.0278345	+	0.0672563i
$725$	−6.82727	−	29.9122i	−0.253558	−	1.11091i
$726$	−13.4390	−	6.94536i	−0.498770	−	0.257766i
$727$	−3.00169	+	13.1512i	−0.111326	+	0.487753i	0.888269	+	0.459323i	$0.151908\pi$
$727$	−3.00169	+	13.1512i	−0.111326	+	0.487753i	−0.999596	+	0.0284299i	$0.990949\pi$
$728$	−29.7736	+	13.4366i	−1.10348	+	0.497994i
$729$	−0.222521	−	0.974928i	−0.00824152	−	0.0361084i
$730$	−11.1614	+	43.2422i	−0.413103	+	1.60047i
$731$	3.47565	−	4.35833i	0.128552	−	0.161199i
$732$	−28.2577	−	8.15020i	−1.04443	−	0.301240i
$733$	22.1890	+	46.0760i	0.819571	+	1.70186i	0.705870	+	0.708341i	$0.250556\pi$
$733$	22.1890	+	46.0760i	0.819571	+	1.70186i	0.113700	+	0.993515i	$0.463730\pi$
$734$	−52.6005	−	1.48382i	−1.94152	−	0.0547688i
$735$	−2.82006	−	23.4923i	−0.104019	−	0.866528i
$736$	3.65950	−	25.7801i	0.134891	−	0.950266i
$737$	3.46188	−	1.66715i	0.127520	−	0.0614104i
$738$	8.26722	+	2.13389i	0.304321	+	0.0785496i
$739$	−8.89435	−	7.09300i	−0.327184	−	0.260920i	0.446096	−	0.894985i	$-0.352814\pi$
$739$	−8.89435	−	7.09300i	−0.327184	−	0.260920i	−0.773280	+	0.634065i	$0.781385\pi$
$740$	41.2841	+	11.9073i	1.51764	+	0.437722i
$741$	24.7859	−	5.65722i	0.910533	−	0.207823i
$742$	−0.383787	−	12.1668i	−0.0140892	−	0.446658i
$743$	19.7728	+	4.51301i	0.725393	+	0.165566i	0.569246	−	0.822168i	$-0.307235\pi$
$743$	19.7728	+	4.51301i	0.725393	+	0.165566i	0.156147	+	0.987734i	$0.450093\pi$
$744$	24.3974	+	14.4067i	0.894453	+	0.528174i
$745$	−25.2015	+	5.75209i	−0.923313	+	0.210740i
$746$	−22.7858	+	10.1918i	−0.834247	+	0.373149i
$747$	8.52494	+	10.6899i	0.311911	+	0.391124i
$748$	−1.18802	+	0.491672i	−0.0434383	+	0.0179773i
$749$	−6.48432	+	39.0224i	−0.236932	+	1.42585i
$750$	−3.12821	+	6.05298i	−0.114226	+	0.221023i
$751$	−28.2892	+	6.45682i	−1.03229	+	0.235613i	−0.704921	−	0.709285i	$-0.749018\pi$
$751$	−28.2892	+	6.45682i	−1.03229	+	0.235613i	−0.327365	+	0.944898i	$0.606161\pi$
$752$	−9.24232	−	14.7289i	−0.337033	−	0.537108i
$753$	10.7486			0.391700
$754$	−0.831194	+	29.4653i	−0.0302703	+	1.07306i
$755$	1.89006	+	2.37006i	0.0687864	+	0.0862555i
$756$	−2.31177	−	4.75980i	−0.0840781	−	0.173112i
$757$	−23.3651	+	29.2990i	−0.849220	+	1.06489i	0.147896	+	0.989003i	$0.452750\pi$
$757$	−23.3651	+	29.2990i	−0.849220	+	1.06489i	−0.997117	+	0.0758858i	$0.975822\pi$
$758$	23.0400	+	19.4616i	0.836852	+	0.706876i
$759$	2.28332	+	1.09959i	0.0828793	+	0.0399125i
$760$	−28.3130	+	47.9475i	−1.02702	+	1.73924i
$761$	−8.23162	−	6.56450i	−0.298396	−	0.237963i	0.462834	−	0.886445i	$-0.346833\pi$
$761$	−8.23162	−	6.56450i	−0.298396	−	0.237963i	−0.761230	+	0.648482i	$0.775404\pi$
$762$	−1.56714	−	1.32374i	−0.0567716	−	0.0479541i
$763$	−20.4284	+	18.3899i	−0.739557	+	0.665759i
$764$	15.7759	−	11.1864i	0.570751	−	0.404709i
$765$	−3.94678			−0.142696
$766$	−6.20709	−	0.175097i	−0.224271	−	0.00632652i
$767$	16.8761	−	13.4583i	0.609362	−	0.485950i
$768$	0.0194322	−	16.0000i	0.000701198	−	0.577350i
$769$	16.4884	−	34.2386i	0.594588	−	1.23467i	−0.358937	−	0.933362i	$-0.616861\pi$
$769$	16.4884	−	34.2386i	0.594588	−	1.23467i	0.953525	−	0.301313i	$-0.0974250\pi$
$770$	5.57829	+	4.16774i	0.201028	+	0.150195i
$771$	−0.445310	−	0.924695i	−0.0160374	−	0.0333021i
$772$	5.48458	+	7.73477i	0.197394	+	0.278380i
$773$	−19.3557	−	40.1926i	−0.696177	−	1.44563i	−0.885941	−	0.463797i	$-0.846487\pi$
$773$	−19.3557	−	40.1926i	−0.696177	−	1.44563i	0.189764	−	0.981830i	$-0.439228\pi$
$774$	−6.62218	+	1.31619i	−0.238029	+	0.0473094i
$775$	−57.9912	−	27.9271i	−2.08310	−	1.00317i
$776$	6.27138	+	2.00202i	0.225129	+	0.0718682i
$777$	12.4978	−	11.2507i	0.448357	−	0.403617i
$778$	9.40049	+	47.2970i	0.337024	+	1.69568i
$779$	−34.2819	−	7.82462i	−1.22828	−	0.280346i
$780$	19.6699	−	21.9972i	0.704296	−	0.787626i
$781$	0.690426	−	3.02496i	0.0247054	−	0.108241i
$782$	−6.93844	+	3.10349i	−0.248118	+	0.110980i
$783$	−4.77506			−0.170647
$784$	−17.6032	−	21.7745i	−0.628685	−	0.777660i
$785$	−70.8010			−2.52699
$786$	17.2864	−	7.73203i	0.616587	−	0.275792i
$787$	4.66482	−	20.4379i	0.166283	−	0.728532i	−0.821179	−	0.570671i	$-0.806683\pi$
$787$	4.66482	−	20.4379i	0.166283	−	0.728532i	0.987461	−	0.157861i	$-0.0504598\pi$
$788$	19.9892	−	22.3543i	0.712087	−	0.796339i
$789$	11.8679	+	2.70877i	0.422508	+	0.0964347i
$790$	−4.10380	−	20.6476i	−0.146007	−	0.734608i
$791$	2.17793	+	0.361905i	0.0774383	+	0.0128679i
$792$	1.48350	+	0.473579i	0.0527139	+	0.0168279i
$793$	−57.8307	−	27.8498i	−2.05363	−	0.988975i
$794$	33.2602	−	6.61062i	1.18036	−	0.234602i
$795$	4.77131	+	9.90773i	0.169221	+	0.351391i
$796$	−8.82458	−	12.4451i	−0.312779	−	0.441104i
$797$	−11.6503	−	24.1920i	−0.412673	−	0.856924i	−0.998905	−	0.0467813i	$-0.985104\pi$
$797$	−11.6503	−	24.1920i	−0.412673	−	0.856924i	0.586232	−	0.810143i	$-0.300611\pi$
$798$	10.0697	+	19.3265i	0.356464	+	0.684149i
$799$	−2.20234	+	4.57321i	−0.0779132	+	0.161789i
$800$	3.02752	+	36.2210i	0.107039	+	1.28060i
$801$	12.8562	−	10.2525i	0.454251	−	0.362253i
$802$	−33.6982	−	0.950601i	−1.18993	−	0.0335669i
$803$	−5.14374			−0.181519
$804$	11.3859	−	8.07352i	0.401549	−	0.284731i
$805$	33.6587	+	23.6986i	1.18631	+	0.835267i
$806$	47.2410	+	39.9037i	1.66399	+	1.40555i
$807$	18.4500	+	14.7134i	0.649470	+	0.517935i
$808$	−7.88134	+	13.3469i	−0.277265	+	0.469543i
$809$	25.7049	+	12.3788i	0.903737	+	0.435217i	0.827237	−	0.561853i	$-0.189911\pi$
$809$	25.7049	+	12.3788i	0.903737	+	0.435217i	0.0765001	+	0.997070i	$0.475625\pi$
$810$	3.65181	+	3.08463i	0.128312	+	0.108383i
$811$	−4.74646	+	5.95187i	−0.166671	+	0.208998i	−0.858152	−	0.513396i	$-0.828387\pi$
$811$	−4.74646	+	5.95187i	−0.166671	+	0.208998i	0.691481	+	0.722395i	$0.256959\pi$
$812$	−24.6149	+	5.70453i	−0.863813	+	0.200190i
$813$	−8.30091	−	10.4090i	−0.291126	−	0.365060i
$814$	−0.139547	+	4.94685i	−0.00489111	+	0.173387i
$815$	−50.3818			−1.76480
$816$	−3.95618	+	2.48248i	−0.138494	+	0.0869042i
$817$	27.1090	−	6.18746i	0.948425	−	0.216472i
$818$	13.5704	−	26.2582i	0.474476	−	0.918096i
$819$	−3.23745	−	11.0858i	−0.113126	−	0.387369i
$820$	−37.7125	+	15.6076i	−1.31698	+	0.545041i
$821$	−6.72557	−	8.43360i	−0.234724	−	0.294335i	0.650494	−	0.759512i	$-0.274562\pi$
$821$	−6.72557	−	8.43360i	−0.234724	−	0.294335i	−0.885218	+	0.465177i	$0.845991\pi$
$822$	4.73971	−	2.12002i	0.165317	−	0.0739443i
$823$	19.3468	−	4.41577i	0.674386	−	0.153924i	0.128405	−	0.991722i	$-0.459014\pi$
$823$	19.3468	−	4.41577i	0.674386	−	0.153924i	0.545981	+	0.837798i	$0.316157\pi$
$824$	44.5653	+	26.3158i	1.55251	+	0.916754i
$825$	−3.44894	−	0.787197i	−0.120077	−	0.0274067i
$826$	14.8225	+	11.0744i	0.515740	+	0.385328i
$827$	−17.4198	+	3.97595i	−0.605745	+	0.138257i	−0.514383	−	0.857560i	$-0.671979\pi$
$827$	−17.4198	+	3.97595i	−0.605745	+	0.138257i	−0.0913619	+	0.995818i	$0.529122\pi$
$828$	8.84544	+	2.55124i	0.307400	+	0.0886616i
$829$	−24.5323	−	19.5639i	−0.852042	−	0.679481i	0.0967754	−	0.995306i	$-0.469147\pi$
$829$	−24.5323	−	19.5639i	−0.852042	−	0.679481i	−0.948817	+	0.315826i	$0.897719\pi$
$830$	−63.2858	−	16.3350i	−2.19668	−	0.566996i
$831$	8.42493	−	4.05723i	0.292258	−	0.140744i
$832$	5.88075	−	34.4217i	0.203878	−	1.19336i
$833$	−2.64337	+	7.73422i	−0.0915872	+	0.267975i
$834$	31.6742	+	0.893505i	1.09679	+	0.0309395i
$835$	16.8492	+	34.9878i	0.583092	+	1.21080i
$836$	−6.16220	−	1.77733i	−0.213124	−	0.0614701i
$837$	−6.24575	+	7.83192i	−0.215885	+	0.270711i
$838$	−9.83604	+	38.1073i	−0.339780	+	1.31639i
$839$	2.67893	+	11.7372i	0.0924871	+	0.405212i	0.999887	−	0.0150566i	$-0.00479285\pi$
$839$	2.67893	+	11.7372i	0.0924871	+	0.405212i	−0.907400	+	0.420269i	$0.861936\pi$
$840$	22.5097	+	11.5383i	0.776659	+	0.398108i
$841$	1.37935	−	6.04334i	0.0475639	−	0.208391i
$842$	−32.2283	−	16.6558i	−1.11066	−	0.573995i
$843$	−0.487795	−	2.13717i	−0.0168005	−	0.0736080i
$844$	17.4668	+	42.2049i	0.601233	+	1.45275i
$845$	15.9982	−	12.7581i	0.550353	−	0.438892i
$846$	5.61197	−	2.51017i	0.192943	−	0.0863015i
$847$	10.7353	−	26.1861i	0.368869	−	0.899767i
$848$	11.0145	+	6.93021i	0.378240	+	0.237985i
$849$	4.70444	+	20.6115i	0.161456	+	0.707384i
$850$	8.47856	−	6.37876i	0.290812	−	0.218790i
$851$			29.2558i			1.00288i
$852$	0.635384	−	11.2530i	0.0217679	−	0.385523i
$853$	36.2276	−	28.8905i	1.24041	−	0.989193i	0.240582	−	0.970629i	$-0.422662\pi$
$853$	36.2276	−	28.8905i	1.24041	−	0.989193i	0.999828	−	0.0185645i	$-0.00590962\pi$
$854$	10.5459	−	54.0001i	0.360873	−	1.84785i
$855$	−15.3918	−	12.2746i	−0.526390	−	0.419782i
$856$	−30.7163	−	29.0662i	−1.04986	−	0.993464i
$857$	1.62860	−	3.38181i	0.0556318	−	0.115521i	−0.871300	−	0.490751i	$-0.836722\pi$
$857$	1.62860	−	3.38181i	0.0556318	−	0.115521i	0.926931	+	0.375231i	$0.122437\pi$
$858$	3.01938	+	1.56043i	0.103080	+	0.0532721i
$859$	25.7574	−	32.2988i	0.878831	−	1.10202i	−0.115245	−	0.993337i	$-0.536765\pi$
$859$	25.7574	−	32.2988i	0.878831	−	1.10202i	0.994076	−	0.108683i	$-0.0346633\pi$
$860$	21.5135	−	24.0589i	0.733605	−	0.820403i
$861$	−2.61839	+	15.7574i	−0.0892346	+	0.537011i
$862$	8.67713	−	6.52815i	0.295544	−	0.222350i
$863$			8.82991i			0.300574i	0.988642	+	0.150287i	$0.0480197\pi$
$863$			8.82991i			0.300574i	−0.988642	+	0.150287i	$0.951980\pi$
$864$	5.60071	+	0.795025i	0.190540	+	0.0270473i
$865$	−12.4612	−	15.6259i	−0.423695	−	0.531296i
$866$	−21.7752	+	4.32792i	−0.739952	+	0.147069i
$867$	−14.0881	−	6.78448i	−0.478457	−	0.230413i
$868$	−22.8397	+	47.8341i	−0.775230	+	1.62360i
$869$	2.18453	−	1.05201i	0.0741051	−	0.0356871i
$870$	18.2403	−	13.7229i	0.618403	−	0.465249i
$871$	27.4465	−	13.2175i	0.929988	−	0.447859i
$872$	−4.09439	−	29.0976i	−0.138653	−	0.985370i
$873$	−1.00987	+	2.09701i	−0.0341788	+	0.0709730i
$874$	−36.7107	−	9.47558i	−1.24176	−	0.320516i
$875$	−11.7943	−	4.83520i	−0.398720	−	0.163460i
$876$	−18.4220	+	3.12426i	−0.622420	+	0.105559i
$877$	−0.419722	+	1.83892i	−0.0141730	+	0.0620960i	−0.981520	−	0.191360i	$-0.938710\pi$
$877$	−0.419722	+	1.83892i	−0.0141730	+	0.0620960i	0.967347	+	0.253456i	$0.0815673\pi$
$878$	17.3042	−	20.4860i	0.583988	−	0.691368i
$879$	2.32052	+	0.529643i	0.0782691	+	0.0178644i
$880$	−7.02783	+	2.45435i	−0.236908	+	0.0827362i
$881$			9.76917i			0.329132i	0.986366	+	0.164566i	$0.0526223\pi$
$881$			9.76917i			0.329132i	−0.986366	+	0.164566i	$0.947378\pi$
$882$	8.49054	−	5.09026i	0.285891	−	0.171398i
$883$			30.8149i			1.03700i	0.855077	+	0.518502i	$0.173510\pi$
$883$			30.8149i			1.03700i	−0.855077	+	0.518502i	$0.826490\pi$
$884$	−9.41885	+	3.89807i	−0.316790	+	0.131106i
$885$	−16.2959	−	3.71943i	−0.547780	−	0.125027i
$886$	29.0441	+	24.5331i	0.975756	+	0.824206i
$887$	−5.18329	+	22.7095i	−0.174038	+	0.762509i	0.810271	+	0.586055i	$0.199320\pi$
$887$	−5.18329	+	22.7095i	−0.174038	+	0.762509i	−0.984309	+	0.176454i	$0.943537\pi$
$888$	2.50489	+	17.8016i	0.0840587	+	0.597381i
$889$	2.20944	−	3.13802i	0.0741022	−	0.105246i
$890$	−19.6452	+	76.1102i	−0.658507	+	2.55122i
$891$	−0.238885	+	0.496050i	−0.00800295	+	0.0166183i
$892$	−0.242017	−	1.42703i	−0.00810333	−	0.0477806i
$893$	−22.8116	+	10.9855i	−0.763360	+	0.367615i
$894$	−6.50206	−	8.64245i	−0.217461	−	0.289047i
$895$	2.30164	−	1.10841i	0.0769353	−	0.0370501i
$896$	29.8208	−	2.59263i	0.996242	−	0.0866135i
$897$	18.1026	+	8.71775i	0.604428	+	0.291077i
$898$	−2.50787	−	12.6179i	−0.0836887	−	0.421066i
$899$	29.8238	+	37.3979i	0.994681	+	1.24729i
$900$	−12.8303	−	0.724440i	−0.427676	−	0.0241480i
$901$		−	3.79872i		−	0.126554i
$902$	−2.82616	−	3.75650i	−0.0941009	−	0.125078i
$903$	−3.54089	−	12.1248i	−0.117833	−	0.403490i
$904$	−1.62225	+	1.71435i	−0.0539553	+	0.0570184i
$905$	2.06379	−	2.58792i	0.0686028	−	0.0860252i
$906$	−0.582305	+	1.12674i	−0.0193458	+	0.0374334i
$907$	0.938915	−	1.94968i	0.0311761	−	0.0647379i	−0.884799	−	0.465973i	$-0.845705\pi$
$907$	0.938915	−	1.94968i	0.0311761	−	0.0647379i	0.915975	+	0.401235i	$0.131419\pi$
$908$	−37.6169	+	42.0677i	−1.24836	+	1.39606i
$909$	−4.28455	−	3.41681i	−0.142110	−	0.113329i
$910$	44.2258	+	33.0426i	1.46607	+	1.09535i
$911$	11.3333	−	9.03798i	0.375488	−	0.299442i	−0.417502	−	0.908676i	$-0.637094\pi$
$911$	11.3333	−	9.03798i	0.375488	−	0.299442i	0.792990	+	0.609234i	$0.208523\pi$
$912$	−23.1490	−	2.62251i	−0.766542	−	0.0868399i
$913$		−	7.52796i		−	0.249139i
$914$	4.21030	+	5.59628i	0.139264	+	0.185109i
$915$	11.0602	+	48.4581i	0.365640	+	1.60197i
$916$	−6.52013	+	11.7888i	−0.215431	+	0.389514i
$917$	17.2496	+	30.9446i	0.569633	+	1.02188i
$918$	−0.674231	−	1.50737i	−0.0222529	−	0.0497507i
$919$	6.70197	−	5.34464i	0.221078	−	0.176304i	−0.506688	−	0.862130i	$-0.669130\pi$
$919$	6.70197	−	5.34464i	0.221078	−	0.176304i	0.727766	+	0.685826i	$0.240559\pi$
$920$	−41.1206	+	15.6751i	−1.35571	+	0.516792i
$921$	−1.49917	−	6.56829i	−0.0493993	−	0.216433i
$922$	20.4214	−	39.5148i	0.672544	−	1.30135i
$923$	5.47383	−	23.9824i	0.180173	−	0.789391i
$924$	−0.638818	+	2.84246i	−0.0210156	+	0.0935102i
$925$	−9.08737	−	39.8144i	−0.298791	−	1.30909i
$926$	18.5100	+	4.77769i	0.608276	+	0.157005i
$927$	−11.4087	+	14.3061i	−0.374712	+	0.469874i
$928$	9.65216	−	25.2285i	0.316848	−	0.828165i
$929$	1.62289	+	3.36996i	0.0532452	+	0.110565i	0.925894	−	0.377784i	$-0.123314\pi$
$929$	1.62289	+	3.36996i	0.0532452	+	0.110565i	−0.872649	+	0.488349i	$0.837599\pi$
$930$	1.35028	−	47.8665i	0.0442774	−	1.56961i
$931$	−34.3623	+	21.9413i	−1.12618	+	0.719098i
$932$	−27.5543	−	1.55581i	−0.902571	−	0.0509622i
$933$	8.77374	−	4.22521i	0.287239	−	0.138327i
$934$	−3.82737	+	14.8282i	−0.125235	+	0.485193i
$935$	1.69892	+	1.35484i	0.0555605	+	0.0443080i
$936$	11.7615	+	3.75462i	0.384436	+	0.122724i
$937$	−14.8688	+	3.39370i	−0.485741	+	0.110867i	−0.458376	−	0.888758i	$-0.651569\pi$
$937$	−14.8688	+	3.39370i	−0.485741	+	0.110867i	−0.0273650	+	0.999626i	$0.508712\pi$
$938$	16.9165	+	19.8922i	0.552345	+	0.649504i
$939$	−12.5981	−	2.87544i	−0.411125	−	0.0938366i
$940$	−14.2233	+	25.7166i	−0.463912	+	0.838784i
$941$	−44.0511	+	10.0544i	−1.43603	+	0.327764i	−0.868540	−	0.495620i	$-0.834941\pi$
$941$	−44.0511	+	10.0544i	−1.43603	+	0.327764i	−0.567486	+	0.823383i	$0.692084\pi$
$942$	−12.0950	−	27.0406i	−0.394075	−	0.881031i
$943$	−17.3269	−	21.7272i	−0.564241	−	0.707536i
$944$	−18.6741	+	6.52164i	−0.607792	+	0.212261i
$945$	−5.14852	+	7.31233i	−0.167481	+	0.237870i
$946$	3.30238	+	1.70668i	0.107370	+	0.0554890i
$947$	32.2232	−	7.35472i	1.04711	−	0.238996i	0.335844	−	0.941918i	$-0.390979\pi$
$947$	32.2232	−	7.35472i	1.04711	−	0.238996i	0.711268	+	0.702921i	$0.248121\pi$
$948$	7.18476	−	5.09458i	0.233350	−	0.165464i
$949$	−40.7806			−1.32379
$950$	52.9032	+	1.49236i	1.71641	+	0.0484185i
$951$	−1.90261	−	2.38580i	−0.0616964	−	0.0773648i
$952$	−5.27636	−	6.96485i	−0.171008	−	0.225732i
$953$	16.2864	−	20.4225i	0.527569	−	0.661551i	−0.444628	−	0.895715i	$-0.646664\pi$
$953$	16.2864	−	20.4225i	0.527569	−	0.661551i	0.972197	+	0.234164i	$0.0752354\pi$
$954$	−2.96892	+	3.51482i	−0.0961222	+	0.113797i
$955$	−29.4481	−	14.1815i	−0.952919	−	0.458902i
$956$	9.98392	−	18.0516i	0.322903	−	0.583831i
$957$	2.05546	+	1.63917i	0.0664434	+	0.0529869i
$958$	4.09355	−	4.84625i	0.132257	−	0.156575i
$959$	4.72962	+	8.48461i	0.152727	+	0.273982i
$960$	−23.6789	+	13.0587i	−0.764234	+	0.421469i
$961$	69.3483			2.23704
$962$	−1.10635	+	39.2196i	−0.0356703	+	1.26449i
$963$	11.6894	−	9.32201i	0.376686	−	0.300397i
$964$	16.8052	−	2.85006i	0.541258	−	0.0917943i
$965$	6.95305	−	14.4382i	0.223827	−	0.464781i
$966$	−3.30115	+	16.9035i	−0.106213	+	0.543862i
$967$	17.1295	+	35.5697i	0.550847	+	1.14385i	0.971591	+	0.236666i	$0.0760547\pi$
$967$	17.1295	+	35.5697i	0.550847	+	1.14385i	−0.420744	+	0.907179i	$0.638231\pi$
$968$	16.7975	+	25.1640i	0.539892	+	0.808802i
$969$	2.95069	+	6.12718i	0.0947899	+	0.196833i
$970$	−2.16893	−	10.9126i	−0.0696400	−	0.350382i
$971$	8.12923	+	3.91483i	0.260880	+	0.125633i	0.559752	−	0.828660i	$-0.310896\pi$
$971$	8.12923	+	3.91483i	0.260880	+	0.125633i	−0.298873	+	0.954293i	$0.596611\pi$
$972$	−0.554255	+	1.92167i	−0.0177777	+	0.0616375i
$973$	3.53902	+	59.1748i	0.113456	+	1.89706i
$974$	36.2033	−	7.19557i	1.16003	−	0.230561i
$975$	−27.3438	−	6.24105i	−0.875703	−	0.199874i
$976$	41.5662	+	41.6167i	1.33050	+	1.33212i
$977$	−12.1300	+	53.1449i	−0.388072	+	1.70026i	0.283213	+	0.959057i	$0.408600\pi$
$977$	−12.1300	+	53.1449i	−0.388072	+	1.70026i	−0.671286	+	0.741199i	$0.734258\pi$
$978$	−8.60674	−	19.2420i	−0.275213	−	0.615292i
$979$	−9.05346			−0.289350
$980$	−17.8043	+	43.8449i	−0.568738	+	1.40057i
$981$	10.3889			0.331693
$982$	−22.3525	−	49.9734i	−0.713298	−	1.59471i
$983$	−6.84042	+	29.9698i	−0.218175	+	0.955889i	0.740649	+	0.671892i	$0.234518\pi$
$983$	−6.84042	+	29.9698i	−0.218175	+	0.955889i	−0.958825	+	0.283998i	$0.908339\pi$
$984$	−12.4034	−	11.7371i	−0.395405	−	0.374164i
$985$	−49.4113	−	11.2778i	−1.57437	−	0.359341i
$986$	−7.73374	+	1.53712i	−0.246292	+	0.0489517i
$987$	5.60002	+	10.0460i	0.178251	+	0.319769i
$988$	−48.8551	−	14.0910i	−1.55429	−	0.448294i
$989$	19.7993	+	9.53485i	0.629581	+	0.303190i
$990$	−0.513062	−	2.58138i	−0.0163062	−	0.0820418i
$991$	10.3104	+	21.4097i	0.327520	+	0.680102i	0.998092	−	0.0617425i	$-0.0196657\pi$
$991$	10.3104	+	21.4097i	0.327520	+	0.680102i	−0.670572	+	0.741844i	$0.733951\pi$
$992$	−28.7540	−	48.8298i	−0.912942	−	1.55035i
$993$	8.93087	+	18.5451i	0.283413	+	0.588512i
$994$	21.0755	−	0.664800i	0.668476	−	0.0210862i
$995$	−11.1873	+	23.2307i	−0.354662	+	0.736463i
$996$	−4.57242	−	26.9609i	−0.144883	−	0.854289i
$997$	30.6257	−	24.4232i	0.969926	−	0.773490i	−0.00408461	−	0.999992i	$-0.501300\pi$
$997$	30.6257	−	24.4232i	0.969926	−	0.773490i	0.974011	+	0.226501i	$0.0727287\pi$
$998$	0.463836	−	16.4427i	0.0146825	−	0.520484i
$999$	−6.35580			−0.201089

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	588.2.x.a.223.4	✓	168
4.3	odd	2		588.2.x.b.223.5	yes	168
49.20	odd	14		588.2.x.b.559.5	yes	168
196.167	even	14	inner	588.2.x.a.559.4	yes	168

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
588.2.x.a.223.4	✓	168	1.1	even	1	trivial
588.2.x.a.559.4	yes	168	196.167	even	14	inner
588.2.x.b.223.5	yes	168	4.3	odd	2
588.2.x.b.559.5	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)

\(f(q)\)	\(=\)	\(q+(-1.29096 + 0.577431i) q^{2} +(-0.222521 + 0.974928i) q^{3} +(1.33315 - 1.49088i) q^{4} +(-3.29539 - 0.752152i) q^{5} +(-0.275689 - 1.38708i) q^{6} +(2.53967 - 0.741675i) q^{7} +(-0.860155 + 2.69446i) q^{8} +(-0.900969 - 0.433884i) q^{9} +O(q^{10})\)	\(q+(-1.29096 + 0.577431i) q^{2} +(-0.222521 + 0.974928i) q^{3} +(1.33315 - 1.49088i) q^{4} +(-3.29539 - 0.752152i) q^{5} +(-0.275689 - 1.38708i) q^{6} +(2.53967 - 0.741675i) q^{7} +(-0.860155 + 2.69446i) q^{8} +(-0.900969 - 0.433884i) q^{9} +(4.68853 - 0.931867i) q^{10} +(0.238885 + 0.496050i) q^{11} +(1.15685 + 1.63147i) q^{12} +(1.89393 + 3.93278i) q^{13} +(-2.85034 + 2.42396i) q^{14} +(1.46659 - 3.04540i) q^{15} +(-0.445444 - 3.97512i) q^{16} +(-0.912896 + 0.728010i) q^{17} +(1.41365 + 0.0398780i) q^{18} -5.82428 q^{19} +(-5.51461 + 3.91031i) q^{20} +(0.157950 + 2.64103i) q^{21} +(-0.594826 - 0.502440i) q^{22} +(-3.59877 - 2.86993i) q^{23} +(-2.43551 - 1.43816i) q^{24} +(5.78904 + 2.78786i) q^{25} +(-4.71589 - 3.98344i) q^{26} +(0.623490 - 0.781831i) q^{27} +(2.28000 - 4.77510i) q^{28} +(-2.97720 - 3.73330i) q^{29} +(-0.134793 + 4.77834i) q^{30} -10.0174 q^{31} +(2.87041 + 4.87450i) q^{32} +(-0.536770 + 0.122514i) q^{33} +(0.758135 - 1.46697i) q^{34} +(-8.92706 + 0.533893i) q^{35} +(-1.84799 + 0.764806i) q^{36} +(-3.96278 - 4.96917i) q^{37} +(7.51890 - 3.36312i) q^{38} +(-4.25562 + 0.971316i) q^{39} +(4.86120 - 8.23235i) q^{40} +(5.88603 + 1.34345i) q^{41} +(-1.72892 - 3.31826i) q^{42} +(-4.65448 + 1.06236i) q^{43} +(1.05802 + 0.305158i) q^{44} +(2.64270 + 2.10748i) q^{45} +(6.30305 + 1.62691i) q^{46} +(3.91663 - 1.88615i) q^{47} +(3.97458 + 0.450272i) q^{48} +(5.89984 - 3.76722i) q^{49} +(-9.08321 - 0.256230i) q^{50} +(-0.506619 - 1.05201i) q^{51} +(8.38818 + 2.41935i) q^{52} +(-2.02842 + 2.54356i) q^{53} +(-0.353445 + 1.36933i) q^{54} +(-0.414115 - 1.81436i) q^{55} +(-0.186093 + 7.48100i) q^{56} +(1.29602 - 5.67825i) q^{57} +(5.99917 + 3.10040i) q^{58} +(-1.10038 - 4.82106i) q^{59} +(-2.58515 - 6.24647i) q^{60} +(-11.4967 + 9.16829i) q^{61} +(12.9320 - 5.78436i) q^{62} +(-2.60996 - 0.433695i) q^{63} +(-6.52027 - 4.63531i) q^{64} +(-3.28319 - 14.3846i) q^{65} +(0.622204 - 0.468109i) q^{66} -6.97890i q^{67} +(-0.131648 + 2.33156i) q^{68} +(3.59877 - 2.86993i) q^{69} +(11.2162 - 5.84400i) q^{70} +(-4.40600 - 3.51366i) q^{71} +(1.94406 - 2.05442i) q^{72} +(-4.05356 + 8.41731i) q^{73} +(7.98514 + 4.12675i) q^{74} +(-4.00614 + 5.02354i) q^{75} +(-7.76462 + 8.68330i) q^{76} +(0.974597 + 1.08263i) q^{77} +(4.93295 - 3.71125i) q^{78} -4.40385i q^{79} +(-1.52198 + 13.4346i) q^{80} +(0.623490 + 0.781831i) q^{81} +(-8.37437 + 1.66444i) q^{82} +(-12.3189 - 5.93247i) q^{83} +(4.14803 + 3.28540i) q^{84} +(3.55593 - 1.71244i) q^{85} +(5.39531 - 4.05910i) q^{86} +(4.30218 - 2.07182i) q^{87} +(-1.54207 + 0.216987i) q^{88} +(-7.13464 + 14.8152i) q^{89} +(-4.62854 - 1.19469i) q^{90} +(7.72679 + 8.58328i) q^{91} +(-9.07640 + 1.53931i) q^{92} +(2.22908 - 9.76624i) q^{93} +(-3.96709 + 4.69653i) q^{94} +(19.1933 + 4.38075i) q^{95} +(-5.39101 + 1.71376i) q^{96} -2.32751i q^{97} +(-5.44113 + 8.27007i) q^{98} -0.550574i 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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