LMFDB - Embedded newform 588.2.x.a.55.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

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

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

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

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

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

chi := DirichletCharacter("588.55");

S:= CuspForms(chi, 2);

N := Newforms(S);

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

Newform invariants

comment: select newform

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

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

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

Embedding invariants

Embedding label			55.8
Character	$\chi$	$=$	588.55
Dual form			588.2.x.a.139.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.977782 + 1.02174i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(-0.0878851 - 1.99807i) q^{4} +(-1.73990 + 3.61294i) q^{5} +(1.32427 - 0.496308i) q^{6} +(-2.50782 - 0.843102i) q^{7} +(2.12743 + 1.86388i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})$	\(q+(-0.977782 + 1.02174i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(-0.0878851 - 1.99807i) q^{4} +(-1.73990 + 3.61294i) q^{5} +(1.32427 - 0.496308i) q^{6} +(-2.50782 - 0.843102i) q^{7} +(2.12743 + 1.86388i) q^{8} +(0.623490 + 0.781831i) q^{9} +(-1.99022 - 5.31038i) q^{10} +(-1.92041 - 1.53148i) q^{11} +(-0.787748 + 1.83833i) q^{12} +(-0.242677 - 0.193528i) q^{13} +(3.31353 - 1.73796i) q^{14} +(3.13519 - 2.50023i) q^{15} +(-3.98455 + 0.351201i) q^{16} +(1.58371 + 0.361471i) q^{17} +(-1.40846 - 0.127419i) q^{18} -1.42748 q^{19} +(7.37180 + 3.15891i) q^{20} +(1.89366 + 1.84771i) q^{21} +(3.44250 - 0.464701i) q^{22} +(1.88313 - 0.429812i) q^{23} +(-1.10804 - 2.60235i) q^{24} +(-6.90861 - 8.66313i) q^{25} +(0.435019 - 0.0587229i) q^{26} +(-0.222521 - 0.974928i) q^{27} +(-1.46418 + 5.08490i) q^{28} +(-0.713952 + 3.12803i) q^{29} +(-0.510959 + 5.64801i) q^{30} +8.67188 q^{31} +(3.53719 - 4.41455i) q^{32} +(1.06575 + 2.21305i) q^{33} +(-1.91785 + 1.26469i) q^{34} +(7.40943 - 7.59369i) q^{35} +(1.50736 - 1.31449i) q^{36} +(1.67306 - 7.33014i) q^{37} +(1.39576 - 1.45850i) q^{38} +(0.134675 + 0.279656i) q^{39} +(-10.4356 + 4.44330i) q^{40} +(-0.338961 + 0.703860i) q^{41} +(-3.73946 + 0.128162i) q^{42} +(-4.37580 - 9.08645i) q^{43} +(-2.89122 + 3.97170i) q^{44} +(-3.90952 + 0.892322i) q^{45} +(-1.40214 + 2.34432i) q^{46} +(8.25121 - 10.3467i) q^{47} +(3.74234 + 1.41241i) q^{48} +(5.57836 + 4.22870i) q^{49} +(15.6065 + 1.41188i) q^{50} +(-1.27003 - 1.01282i) q^{51} +(-0.365355 + 0.501893i) q^{52} +(-2.88505 - 12.6402i) q^{53} +(1.21369 + 0.725909i) q^{54} +(8.87444 - 4.27371i) q^{55} +(-3.76377 - 6.46792i) q^{56} +(1.28611 + 0.619359i) q^{57} +(-2.49793 - 3.78800i) q^{58} +(-7.46010 + 3.59259i) q^{59} +(-5.27117 - 6.04459i) q^{60} +(5.94700 + 1.35736i) q^{61} +(-8.47920 + 8.86036i) q^{62} +(-0.904439 - 2.48636i) q^{63} +(1.05191 + 7.93054i) q^{64} +(1.12144 - 0.540056i) q^{65} +(-3.30322 - 1.07497i) q^{66} +6.08092i q^{67} +(0.583059 - 3.19612i) q^{68} +(-1.88313 - 0.429812i) q^{69} +(0.513935 + 14.9955i) q^{70} +(0.983366 - 0.224447i) q^{71} +(-0.130810 + 2.82540i) q^{72} +(-5.64424 + 4.50113i) q^{73} +(5.85358 + 8.87670i) q^{74} +(2.46566 + 10.8027i) q^{75} +(0.125454 + 2.85220i) q^{76} +(3.52486 + 5.45977i) q^{77} +(-0.417418 - 0.135840i) q^{78} +0.238695i q^{79} +(5.66385 - 15.0070i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(-0.387728 - 1.03455i) q^{82} +(0.444225 + 0.557040i) q^{83} +(3.52543 - 3.94605i) q^{84} +(-4.06146 + 5.09291i) q^{85} +(13.5625 + 4.41365i) q^{86} +(2.00045 - 2.50849i) q^{87} +(-1.23105 - 6.83752i) q^{88} +(6.14285 - 4.89876i) q^{89} +(2.91094 - 4.86699i) q^{90} +(0.445426 + 0.689935i) q^{91} +(-1.02429 - 3.72485i) q^{92} +(-7.81309 - 3.76259i) q^{93} +(2.50369 + 18.5474i) q^{94} +(2.48366 - 5.15738i) q^{95} +(-5.10230 + 2.44265i) q^{96} -11.4209i q^{97} +(-9.77503 + 1.56485i) q^{98} -2.45630i 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 $\left(\mathbb{Z}/588\mathbb{Z}\right)^\times$.

$n$	$197$	$295$	$493$
$\chi(n)$	$1$	$-1$	$e\left(\frac{9}{14}\right)$

Coefficient data

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

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

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

$2$	−0.977782	+	1.02174i	−0.691396	+	0.722476i
$2$	−0.977782	+	1.02174i	−0.691396	+	0.722476i
$3$	−0.900969	−	0.433884i	−0.520175	−	0.250503i
$3$	−0.900969	−	0.433884i	−0.520175	−	0.250503i
$4$	−0.0878851	−	1.99807i	−0.0439425	−	0.999034i
$5$	−1.73990	+	3.61294i	−0.778106	+	1.61575i	0.00979453	+	0.999952i	$0.496882\pi$
$5$	−1.73990	+	3.61294i	−0.778106	+	1.61575i	−0.787901	+	0.615802i	$0.788832\pi$
$6$	1.32427	−	0.496308i	0.540629	−	0.202617i
$7$	−2.50782	−	0.843102i	−0.947868	−	0.318663i
$7$	−2.50782	−	0.843102i	−0.947868	−	0.318663i
$8$	2.12743	+	1.86388i	0.752160	+	0.658981i
$9$	0.623490	+	0.781831i	0.207830	+	0.260610i
$10$	−1.99022	−	5.31038i	−0.629364	−	1.67929i
$11$	−1.92041	−	1.53148i	−0.579025	−	0.461757i	0.289654	−	0.957131i	$-0.406460\pi$
$11$	−1.92041	−	1.53148i	−0.579025	−	0.461757i	−0.868680	+	0.495374i	$0.835031\pi$
$12$	−0.787748	+	1.83833i	−0.227403	+	0.530680i
$13$	−0.242677	−	0.193528i	−0.0673064	−	0.0536750i	0.589259	−	0.807944i	$-0.299420\pi$
$13$	−0.242677	−	0.193528i	−0.0673064	−	0.0536750i	−0.656565	+	0.754269i	$0.727991\pi$
$14$	3.31353	−	1.73796i	0.885579	−	0.464490i
$15$	3.13519	−	2.50023i	0.809502	−	0.645556i
$16$	−3.98455	+	0.351201i	−0.996138	+	0.0878002i
$17$	1.58371	+	0.361471i	0.384106	+	0.0876696i	0.410213	−	0.911990i	$-0.365454\pi$
$17$	1.58371	+	0.361471i	0.384106	+	0.0876696i	−0.0261079	+	0.999659i	$0.508311\pi$
$18$	−1.40846	−	0.127419i	−0.331978	−	0.0300330i
$19$	−1.42748			−0.327486			−0.163743	−	0.986503i	$-0.552357\pi$
$19$	−1.42748			−0.327486			−0.163743	+	0.986503i	$0.552357\pi$
$20$	7.37180	+	3.15891i	1.64839	+	0.706354i
$21$	1.89366	+	1.84771i	0.413231	+	0.403204i
$22$	3.44250	−	0.464701i	0.733944	−	0.0990745i
$23$	1.88313	−	0.429812i	0.392660	−	0.0896220i	−0.0216324	−	0.999766i	$-0.506886\pi$
$23$	1.88313	−	0.429812i	0.392660	−	0.0896220i	0.414292	+	0.910144i	$0.364029\pi$
$24$	−1.10804	−	2.60235i	−0.226178	−	0.531203i
$25$	−6.90861	−	8.66313i	−1.38172	−	1.73263i
$26$	0.435019	−	0.0587229i	0.0853143	−	0.0115165i
$27$	−0.222521	−	0.974928i	−0.0428242	−	0.187625i
$28$	−1.46418	+	5.08490i	−0.276703	+	0.960955i
$29$	−0.713952	+	3.12803i	−0.132578	+	0.580861i	0.864375	+	0.502848i	$0.167715\pi$
$29$	−0.713952	+	3.12803i	−0.132578	+	0.580861i	−0.996952	+	0.0780124i	$0.975143\pi$
$30$	−0.510959	+	5.64801i	−0.0932878	+	1.03118i
$31$	8.67188			1.55752			0.778758	−	0.627325i	$-0.215850\pi$
$31$	8.67188			1.55752			0.778758	+	0.627325i	$0.215850\pi$
$32$	3.53719	−	4.41455i	0.625293	−	0.780390i
$33$	1.06575	+	2.21305i	0.185523	+	0.385242i
$34$	−1.91785	+	1.26469i	−0.328908	+	0.216893i
$35$	7.40943	−	7.59369i	1.25242	−	1.28357i
$36$	1.50736	−	1.31449i	0.251226	−	0.219081i
$37$	1.67306	−	7.33014i	0.275049	−	1.20507i	−0.628920	−	0.777470i	$-0.716503\pi$
$37$	1.67306	−	7.33014i	0.275049	−	1.20507i	0.903969	−	0.427598i	$-0.140640\pi$
$38$	1.39576	−	1.45850i	0.226422	−	0.236600i
$39$	0.134675	+	0.279656i	0.0215653	+	0.0447808i
$40$	−10.4356	+	4.44330i	−1.65001	+	0.702548i
$41$	−0.338961	+	0.703860i	−0.0529368	+	0.109924i	−0.925759	−	0.378113i	$-0.876573\pi$
$41$	−0.338961	+	0.703860i	−0.0529368	+	0.109924i	0.872822	+	0.488038i	$0.162287\pi$
$42$	−3.73946	+	0.128162i	−0.577011	+	0.0197758i
$43$	−4.37580	−	9.08645i	−0.667304	−	1.38567i	−0.909607	−	0.415470i	$-0.863617\pi$
$43$	−4.37580	−	9.08645i	−0.667304	−	1.38567i	0.242303	−	0.970201i	$-0.422097\pi$
$44$	−2.89122	+	3.97170i	−0.435867	+	0.598757i
$45$	−3.90952	+	0.892322i	−0.582796	+	0.133019i
$46$	−1.40214	+	2.34432i	−0.206734	+	0.345651i
$47$	8.25121	−	10.3467i	1.20356	−	1.50922i	0.397271	−	0.917701i	$-0.369957\pi$
$47$	8.25121	−	10.3467i	1.20356	−	1.50922i	0.806291	−	0.591519i	$-0.201471\pi$
$48$	3.74234	+	1.41241i	0.540160	+	0.203864i
$49$	5.57836	+	4.22870i	0.796908	+	0.604100i
$50$	15.6065	+	1.41188i	2.20710	+	0.199669i
$51$	−1.27003	−	1.01282i	−0.177840	−	0.141823i
$52$	−0.365355	+	0.501893i	−0.0506656	+	0.0696000i
$53$	−2.88505	−	12.6402i	−0.396292	−	1.73627i	−0.641800	−	0.766872i	$-0.721812\pi$
$53$	−2.88505	−	12.6402i	−0.396292	−	1.73627i	0.245508	−	0.969395i	$-0.421045\pi$
$54$	1.21369	+	0.725909i	0.165163	+	0.0987838i
$55$	8.87444	−	4.27371i	1.19663	−	0.576266i
$56$	−3.76377	−	6.46792i	−0.502956	−	0.864312i
$57$	1.28611	+	0.619359i	0.170350	+	0.0820361i
$58$	−2.49793	−	3.78800i	−0.327994	−	0.497389i
$59$	−7.46010	+	3.59259i	−0.971222	+	0.467716i	−0.851077	−	0.525041i	$-0.824050\pi$
$59$	−7.46010	+	3.59259i	−0.971222	+	0.467716i	−0.120145	+	0.992756i	$0.538336\pi$
$60$	−5.27117	−	6.04459i	−0.680504	−	0.780353i
$61$	5.94700	+	1.35736i	0.761435	+	0.173793i	0.585570	−	0.810622i	$-0.300871\pi$
$61$	5.94700	+	1.35736i	0.761435	+	0.173793i	0.175865	+	0.984414i	$0.443728\pi$
$62$	−8.47920	+	8.86036i	−1.07686	+	1.12527i
$63$	−0.904439	−	2.48636i	−0.113949	−	0.313252i
$64$	1.05191	+	7.93054i	0.131488	+	0.991318i
$65$	1.12144	−	0.540056i	0.139097	−	0.0669857i
$66$	−3.30322	−	1.07497i	−0.406598	−	0.132319i
$67$			6.08092i			0.742902i	0.928453	+	0.371451i	$0.121140\pi$
$67$			6.08092i			0.742902i	−0.928453	+	0.371451i	$0.878860\pi$
$68$	0.583059	−	3.19612i	0.0707063	−	0.387587i
$69$	−1.88313	−	0.429812i	−0.226702	−	0.0517433i
$70$	0.513935	+	14.9955i	0.0614270	+	1.79230i
$71$	0.983366	−	0.224447i	0.116704	−	0.0266370i	−0.163770	−	0.986499i	$-0.552365\pi$
$71$	0.983366	−	0.224447i	0.116704	−	0.0266370i	0.280474	+	0.959862i	$0.409508\pi$
$72$	−0.130810	+	2.82540i	−0.0154161	+	0.332977i
$73$	−5.64424	+	4.50113i	−0.660609	+	0.526818i	−0.895420	−	0.445223i	$-0.853124\pi$
$73$	−5.64424	+	4.50113i	−0.660609	+	0.526818i	0.234811	+	0.972041i	$0.424553\pi$
$74$	5.85358	+	8.87670i	0.680464	+	1.03190i
$75$	2.46566	+	10.8027i	0.284709	+	1.24739i
$76$	0.125454	+	2.85220i	0.0143905	+	0.327169i
$77$	3.52486	+	5.45977i	0.401695	+	0.622199i
$78$	−0.417418	−	0.135840i	−0.0472632	−	0.0153809i
$79$			0.238695i			0.0268553i	0.999910	+	0.0134277i	$0.00427429\pi$
$79$			0.238695i			0.0268553i	−0.999910	+	0.0134277i	$0.995726\pi$
$80$	5.66385	−	15.0070i	0.633238	−	1.67783i
$81$	−0.222521	+	0.974928i	−0.0247245	+	0.108325i
$82$	−0.387728	−	1.03455i	−0.0428174	−	0.114247i
$83$	0.444225	+	0.557040i	0.0487600	+	0.0611431i	0.805614	−	0.592441i	$-0.201836\pi$
$83$	0.444225	+	0.557040i	0.0487600	+	0.0611431i	−0.756854	+	0.653585i	$0.773264\pi$
$84$	3.52543	−	3.94605i	0.384656	−	0.430550i
$85$	−4.06146	+	5.09291i	−0.440527	+	0.552404i
$86$	13.5625	+	4.41365i	1.46248	+	0.475937i
$87$	2.00045	−	2.50849i	0.214471	−	0.268938i
$88$	−1.23105	−	6.83752i	−0.131230	−	0.728882i
$89$	6.14285	−	4.89876i	0.651141	−	0.519268i	−0.241289	−	0.970453i	$-0.577570\pi$
$89$	6.14285	−	4.89876i	0.651141	−	0.519268i	0.892430	+	0.451186i	$0.148999\pi$
$90$	2.91094	−	4.86699i	0.306840	−	0.513025i
$91$	0.445426	+	0.689935i	0.0466933	+	0.0723249i
$92$	−1.02429	−	3.72485i	−0.106790	−	0.388342i
$93$	−7.81309	−	3.76259i	−0.810180	−	0.390162i
$94$	2.50369	+	18.5474i	0.258236	+	1.91301i
$95$	2.48366	−	5.15738i	0.254819	−	0.529136i
$96$	−5.10230	+	2.44265i	−0.520751	+	0.249302i
$97$		−	11.4209i		−	1.15961i	−0.814754	−	0.579807i	$-0.803128\pi$
$97$		−	11.4209i		−	1.15961i	0.814754	−	0.579807i	$-0.196872\pi$
$98$	−9.77503	+	1.56485i	−0.987427	+	0.158074i
$99$		−	2.45630i		−	0.246867i
$100$	−16.7024	+	14.5652i	−1.67024	+	1.45652i
$101$	−5.62532	+	11.6811i	−0.559740	+	1.16231i	0.408608	+	0.912710i	$0.366014\pi$
$101$	−5.62532	+	11.6811i	−0.559740	+	1.16231i	−0.968348	+	0.249602i	$0.919700\pi$
$102$	2.27665	−	0.307323i	0.225422	−	0.0304295i
$103$	−11.8653	−	5.71403i	−1.16912	−	0.563020i	−0.254399	−	0.967099i	$-0.581878\pi$
$103$	−11.8653	−	5.71403i	−1.16912	−	0.563020i	−0.914724	+	0.404080i	$0.867592\pi$
$104$	−0.155564	−	0.864037i	−0.0152543	−	0.0847258i
$105$	−9.97045	+	3.62685i	−0.973016	+	0.353944i
$106$	15.7359	+	9.41162i	1.52841	+	0.914137i
$107$	−13.8868	+	11.0744i	−1.34249	+	1.07060i	−0.351567	+	0.936163i	$0.614351\pi$
$107$	−13.8868	+	11.0744i	−1.34249	+	1.07060i	−0.990922	+	0.134436i	$0.957078\pi$
$108$	−1.92842	+	0.530294i	−0.185562	+	0.0510275i
$109$	6.29295	−	7.89110i	0.602755	−	0.755831i	−0.383050	−	0.923728i	$-0.625126\pi$
$109$	6.29295	−	7.89110i	0.602755	−	0.755831i	0.985805	+	0.167897i	$0.0536976\pi$
$110$	−4.31067	+	13.2461i	−0.411007	+	1.26296i
$111$	−4.68780	+	5.87832i	−0.444946	+	0.557945i
$112$	10.2887	+	2.47864i	0.972186	+	0.234209i
$113$	3.58841	+	4.49973i	0.337569	+	0.423299i	0.921423	−	0.388560i	$-0.127027\pi$
$113$	3.58841	+	4.49973i	0.337569	+	0.423299i	−0.583854	+	0.811859i	$0.698456\pi$
$114$	−1.89036	+	0.708468i	−0.177048	+	0.0663541i
$115$	−1.72357	+	7.55146i	−0.160724	+	0.704177i
$116$	6.31276	+	1.15162i	0.586125	+	0.106925i
$117$		−	0.310395i		−	0.0286960i
$118$	3.62367	−	11.1350i	0.333586	−	1.02506i
$119$	−3.66690	−	2.24173i	−0.336144	−	0.205499i
$120$	11.3300	+	0.524554i	1.03428	+	0.0478850i
$121$	−1.10517	−	4.84208i	−0.100470	−	0.440189i
$122$	−7.20173	+	4.74905i	−0.652014	+	0.429959i
$123$	0.610787	−	0.487086i	0.0550728	−	0.0439191i
$124$	−0.762129	−	17.3270i	−0.0684412	−	1.55601i
$125$	23.7720	−	5.42581i	2.12624	−	0.485299i
$126$	3.42475	+	1.50702i	0.305101	+	0.134256i
$127$	−2.78399	−	0.635427i	−0.247039	−	0.0563850i	0.0972083	−	0.995264i	$-0.469009\pi$
$127$	−2.78399	−	0.635427i	−0.247039	−	0.0563850i	−0.344247	+	0.938879i	$0.611866\pi$
$128$	−9.13145	−	6.67957i	−0.807114	−	0.590396i
$129$			10.0852i			0.887952i
$130$	−0.544727	+	1.67387i	−0.0477757	+	0.146808i
$131$	−6.09532	+	2.93535i	−0.532551	+	0.256463i	−0.680777	−	0.732490i	$-0.738358\pi$
$131$	−6.09532	+	2.93535i	−0.532551	+	0.256463i	0.148226	+	0.988953i	$0.452644\pi$
$132$	4.32815	−	2.32393i	0.376718	−	0.202272i
$133$	3.57986	+	1.20351i	0.310413	+	0.104357i
$134$	−6.21309	−	5.94581i	−0.536729	−	0.513640i
$135$	3.90952	+	0.892322i	0.336478	+	0.0767988i
$136$	2.69549	+	3.72084i	0.231136	+	0.319060i
$137$	−10.6423	+	5.12507i	−0.909234	+	0.437864i	−0.829215	−	0.558929i	$-0.811212\pi$
$137$	−10.6423	+	5.12507i	−0.909234	+	0.437864i	−0.0800187	+	0.996793i	$0.525498\pi$
$138$	2.28044	−	1.50380i	0.194124	−	0.128012i
$139$	−13.3669	−	6.43717i	−1.13377	−	0.545993i	−0.229648	−	0.973274i	$-0.573757\pi$
$139$	−13.3669	−	6.43717i	−1.13377	−	0.545993i	−0.904119	+	0.427281i	$0.859472\pi$
$140$	−15.8239	−	14.1372i	−1.33736	−	1.19481i
$141$	−11.9233	+	5.74198i	−1.00413	+	0.483562i
$142$	−0.732192	+	1.22420i	−0.0614442	+	0.102733i
$143$	0.169655	+	0.743307i	0.0141873	+	0.0621584i
$144$	−2.75891	−	2.89628i	−0.229909	−	0.241357i
$145$	−10.0592	−	8.02192i	−0.835369	−	0.666184i
$146$	0.919873	−	10.1681i	0.0761292	−	0.841514i
$147$	−3.19116	−	6.23029i	−0.263203	−	0.513865i
$148$	−14.7932	−	2.69867i	−1.21599	−	0.221829i
$149$	4.61083	−	5.78180i	0.377734	−	0.473664i	−0.556231	−	0.831028i	$-0.687753\pi$
$149$	4.61083	−	5.78180i	0.377734	−	0.473664i	0.933965	+	0.357364i	$0.116324\pi$
$150$	−13.4484	−	8.04348i	−1.09806	−	0.656747i
$151$	4.54522	−	1.03742i	0.369885	−	0.0844238i	−0.0335381	−	0.999437i	$-0.510678\pi$
$151$	4.54522	−	1.03742i	0.369885	−	0.0844238i	0.403423	+	0.915014i	$0.367820\pi$
$152$	−3.03685	−	2.66064i	−0.246321	−	0.215807i
$153$	0.704816	+	1.46357i	0.0569810	+	0.118322i
$154$	−9.02498	−	1.73700i	−0.727254	−	0.139971i
$155$	−15.0882	+	31.3309i	−1.21191	+	2.51656i
$156$	0.546936	−	0.293668i	0.0437899	−	0.0235123i
$157$	8.25140	+	17.1342i	0.658533	+	1.36746i	0.916003	+	0.401172i	$0.131397\pi$
$157$	8.25140	+	17.1342i	0.658533	+	1.36746i	−0.257470	+	0.966286i	$0.582889\pi$
$158$	−0.243884	−	0.233392i	−0.0194023	−	0.0185677i
$159$	−2.88505	+	12.6402i	−0.228799	+	1.00243i
$160$	9.79515	+	20.4605i	0.774375	+	1.61755i
$161$	−5.08493	−	0.509778i	−0.400749	−	0.0401761i
$162$	−0.778541	−	1.18062i	−0.0611680	−	0.0927586i
$163$	−8.58643	−	17.8299i	−0.672541	−	1.39655i	−0.905621	−	0.424088i	$-0.860595\pi$
$163$	−8.58643	−	17.8299i	−0.672541	−	1.39655i	0.233080	−	0.972458i	$-0.425120\pi$
$164$	1.43615	+	0.615408i	0.112144	+	0.0480553i
$165$	−9.84989			−0.766813
$166$	−1.00350	−	0.0907839i	−0.0778869	−	0.00704619i
$167$	3.53936	−	15.5069i	0.273884	−	1.19996i	−0.631503	−	0.775374i	$-0.717561\pi$
$167$	3.53936	−	15.5069i	0.273884	−	1.19996i	0.905386	−	0.424589i	$-0.139581\pi$
$168$	0.584718	+	7.46044i	0.0451120	+	0.575585i
$169$	−2.87133	−	12.5801i	−0.220872	−	0.967703i
$170$	−1.23238	−	9.12950i	−0.0945195	−	0.700200i
$171$	−0.890017	−	1.11605i	−0.0680613	−	0.0853462i
$172$	−17.7708	+	9.54172i	−1.35501	+	0.727549i
$173$	4.54378	−	1.03709i	0.345457	−	0.0788483i	−0.0462722	−	0.998929i	$-0.514734\pi$
$173$	4.54378	−	1.03709i	0.345457	−	0.0788483i	0.391729	+	0.920081i	$0.371877\pi$
$174$	0.607003	+	4.49668i	0.0460168	+	0.340893i
$175$	10.0217	+	27.5503i	0.757568	+	2.08260i
$176$	8.18983	+	5.42780i	0.617332	+	0.409136i
$177$	8.28008			0.622369
$178$	−1.00113	+	11.0663i	−0.0750382	+	0.829454i
$179$	−21.7558	−	4.96563i	−1.62611	−	0.371148i	−0.690262	−	0.723559i	$-0.742505\pi$
$179$	−21.7558	−	4.96563i	−1.62611	−	0.371148i	−0.935845	+	0.352411i	$0.885362\pi$
$180$	2.12651	+	7.73306i	0.158501	+	0.576388i
$181$	9.90551	−	7.89938i	0.736271	−	0.587157i	−0.181911	−	0.983315i	$-0.558228\pi$
$181$	9.90551	−	7.89938i	0.736271	−	0.587157i	0.918182	+	0.396158i	$0.129657\pi$
$182$	−1.14046	−	0.219499i	−0.0845366	−	0.0162703i
$183$	−4.76912	−	3.80325i	−0.352544	−	0.281144i
$184$	4.80734	+	2.59553i	0.354402	+	0.191345i
$185$	23.5724	+	18.7983i	1.73308	+	1.38208i
$186$	11.4839	−	4.30392i	0.842038	−	0.315579i
$187$	−2.48778	−	3.11958i	−0.181925	−	0.228126i
$188$	−21.3985	−	15.5772i	−1.56065	−	1.13608i
$189$	−0.263921	+	2.63256i	−0.0191974	+	0.191490i
$190$	2.84100	+	7.58044i	0.206108	+	0.549943i
$191$	−4.06851	+	8.44835i	−0.294387	+	0.611301i	−0.994733	−	0.102503i	$-0.967315\pi$
$191$	−4.06851	+	8.44835i	−0.294387	+	0.611301i	0.700346	+	0.713804i	$0.253029\pi$
$192$	2.49320	−	7.60158i	0.179931	−	0.548596i
$193$	1.83402	+	0.883216i	0.132015	+	0.0635752i	0.498725	−	0.866760i	$-0.333802\pi$
$193$	1.83402	+	0.883216i	0.132015	+	0.0635752i	−0.366710	+	0.930335i	$0.619516\pi$
$194$	11.6691	+	11.1671i	0.837793	+	0.801753i
$195$	−1.24470			−0.0891349
$196$	7.95898	−	11.5176i	0.568499	−	0.822684i
$197$	−10.1400			−0.722445			−0.361223	−	0.932480i	$-0.617641\pi$
$197$	−10.1400			−0.722445			−0.361223	+	0.932480i	$0.617641\pi$
$198$	2.50968	+	2.40172i	0.178355	+	0.170683i
$199$	−13.6421	−	6.56970i	−0.967065	−	0.465714i	−0.117428	−	0.993081i	$-0.537465\pi$
$199$	−13.6421	−	6.56970i	−0.967065	−	0.465714i	−0.849637	+	0.527367i	$0.823179\pi$
$200$	1.44944	−	31.3070i	0.102491	−	2.21374i
$201$	2.63841	−	5.47872i	0.186099	−	0.386439i
$202$	−6.43465	−	17.1691i	−0.452740	−	1.20802i
$203$	4.42772	−	7.24261i	0.310765	−	0.508332i
$204$	−1.91206	+	2.62663i	−0.133871	+	0.183901i
$205$	−1.95324	−	2.44929i	−0.136420	−	0.171066i
$206$	17.4399	−	6.53612i	1.21509	−	0.455393i
$207$	1.51015	+	1.20431i	0.104963	+	0.0837051i
$208$	1.03492	+	0.685895i	0.0717591	+	0.0475582i
$209$	2.74134	+	2.18615i	0.189622	+	0.151219i
$210$	6.04324	−	13.7334i	0.417023	−	0.947696i
$211$	18.9683	−	15.1267i	1.30583	−	1.04137i	0.309947	−	0.950754i	$-0.399689\pi$
$211$	18.9683	−	15.1267i	1.30583	−	1.04137i	0.995886	−	0.0906129i	$-0.0288826\pi$
$212$	−25.0025	+	6.87541i	−1.71718	+	0.472205i
$213$	−0.983366	−	0.224447i	−0.0673791	−	0.0153789i
$214$	2.26321	−	25.0170i	0.154710	−	1.71012i
$215$	40.4422			2.75814
$216$	1.34375	−	2.48884i	0.0914307	−	0.169344i
$217$	−21.7475	−	7.31128i	−1.47632	−	0.496322i
$218$	1.90949	+	14.1455i	0.129327	+	0.958054i
$219$	7.03826	−	1.60644i	0.475601	−	0.108553i
$220$	−9.31909	−	17.3561i	−0.628293	−	1.17015i
$221$	−0.314374	−	0.394212i	−0.0211471	−	0.0265176i
$222$	−1.42243	−	10.5374i	−0.0954676	−	0.707224i
$223$	3.67471	+	16.1000i	0.246077	+	1.07813i	0.935376	+	0.353656i	$0.115062\pi$
$223$	3.67471	+	16.1000i	0.246077	+	1.07813i	−0.689299	+	0.724477i	$0.742081\pi$
$224$	−12.5926	+	8.08871i	−0.841376	+	0.540450i
$225$	2.46566	−	10.8027i	0.164377	−	0.720183i
$226$	−8.10621	−	0.733345i	−0.539217	−	0.0487814i
$227$	19.7568			1.31130			0.655652	−	0.755063i	$-0.272394\pi$
$227$	19.7568			1.31130			0.655652	+	0.755063i	$0.272394\pi$
$228$	1.12449	−	2.62417i	0.0744712	−	0.173790i
$229$	2.73774	+	5.68497i	0.180915	+	0.375673i	0.971628	−	0.236513i	$-0.0760046\pi$
$229$	2.73774	+	5.68497i	0.180915	+	0.375673i	−0.790714	+	0.612186i	$0.790290\pi$
$230$	−6.03031	−	9.14471i	−0.397627	−	0.602984i
$231$	−0.806881	−	6.44846i	−0.0530889	−	0.424278i
$232$	−7.34915	+	5.32394i	−0.482496	+	0.349534i
$233$	−1.42205	+	6.23043i	−0.0931619	+	0.408169i	−0.999909	−	0.0135064i	$-0.995701\pi$
$233$	−1.42205	+	6.23043i	−0.0931619	+	0.408169i	0.906747	+	0.421675i	$0.138558\pi$
$234$	0.317141	+	0.303499i	0.0207322	+	0.0198403i
$235$	23.0257	+	47.8133i	1.50203	+	3.11899i
$236$	7.83388	+	14.5900i	0.509942	+	0.949731i
$237$	0.103566	−	0.215057i	0.00672734	−	0.0139695i
$238$	5.87589	−	1.55468i	0.380877	−	0.100775i
$239$	9.10570	+	18.9082i	0.588999	+	1.22307i	0.956142	+	0.292904i	$0.0946215\pi$
$239$	9.10570	+	18.9082i	0.588999	+	1.22307i	−0.367143	+	0.930164i	$0.619664\pi$
$240$	−11.6142	+	11.0634i	−0.749696	+	0.714138i
$241$	24.3406	−	5.55558i	1.56791	−	0.357866i	0.651676	−	0.758498i	$-0.274066\pi$
$241$	24.3406	−	5.55558i	1.56791	−	0.357866i	0.916239	+	0.400632i	$0.131209\pi$
$242$	6.02795	+	3.60531i	0.387491	+	0.231758i
$243$	0.623490	−	0.781831i	0.0399969	−	0.0501545i
$244$	2.18945	−	12.0018i	0.140165	−	0.768336i
$245$	−24.9838	+	12.7967i	−1.59616	+	0.817554i
$246$	−0.0995432	+	1.10033i	−0.00634664	+	0.0701542i
$247$	0.346415	+	0.276257i	0.0220419	+	0.0175778i
$248$	18.4488	+	16.1633i	1.17150	+	1.02637i
$249$	−0.158542	−	0.694618i	−0.0100472	−	0.0440196i
$250$	−17.7001	+	29.5940i	−1.11945	+	1.87169i
$251$	18.0922	−	8.71273i	1.14197	−	0.549943i	0.235356	−	0.971909i	$-0.424374\pi$
$251$	18.0922	−	8.71273i	1.14197	−	0.549943i	0.906611	+	0.421966i	$0.138660\pi$
$252$	−4.88843	+	2.02564i	−0.307942	+	0.127604i
$253$	−4.27463	−	2.05855i	−0.268743	−	0.129420i
$254$	3.37137	−	2.22319i	0.211539	−	0.139495i
$255$	5.86898	−	2.82635i	0.367530	−	0.176993i
$256$	15.7533	−	2.79876i	0.984582	−	0.174922i
$257$	−19.9692	−	4.55783i	−1.24564	−	0.284310i	−0.451627	−	0.892207i	$-0.649156\pi$
$257$	−19.9692	−	4.55783i	−1.24564	−	0.284310i	−0.794016	+	0.607897i	$0.792013\pi$
$258$	−10.3044	−	9.86112i	−0.641524	−	0.613927i
$259$	−10.3758	+	16.9721i	−0.644720	+	1.05460i
$260$	−1.17763	−	2.19325i	−0.0730333	−	0.136019i
$261$	−2.89073	+	1.39210i	−0.178932	+	0.0861691i
$262$	2.96074	−	9.09794i	0.182915	−	0.562073i
$263$		−	25.2707i		−	1.55826i	−0.626863	−	0.779129i	$-0.715661\pi$
$263$		−	25.2707i		−	1.55826i	0.626863	−	0.779129i	$-0.284339\pi$
$264$	−1.85755	+	6.69452i	−0.114324	+	0.412019i
$265$	50.6880	+	11.5692i	3.11374	+	0.710690i
$266$	−4.72999	+	2.48090i	−0.290014	+	0.152114i
$267$	−7.66001	+	1.74835i	−0.468785	+	0.106997i
$268$	12.1501	−	0.534422i	0.742185	−	0.0326450i
$269$	−0.630154	+	0.502531i	−0.0384212	+	0.0306399i	−0.642512	−	0.766276i	$-0.722108\pi$
$269$	−0.630154	+	0.502531i	−0.0384212	+	0.0306399i	0.604091	+	0.796915i	$0.293536\pi$
$270$	−4.73437	+	3.12199i	−0.288125	+	0.189999i
$271$	0.726522	+	3.18310i	0.0441331	+	0.193360i	0.992189	−	0.124744i	$-0.0398111\pi$
$271$	0.726522	+	3.18310i	0.0441331	+	0.193360i	−0.948056	+	0.318104i	$0.896954\pi$
$272$	−6.43731	−	0.884101i	−0.390320	−	0.0536065i
$273$	−0.101963	−	0.814874i	−0.00617110	−	0.0493184i
$274$	5.16940	−	15.8848i	0.312295	−	0.959637i
$275$			27.2171i			1.64125i
$276$	−0.693295	+	3.80039i	−0.0417314	+	0.228757i
$277$	0.236966	−	1.03822i	0.0142379	−	0.0623804i	−0.967310	−	0.253597i	$-0.918386\pi$
$277$	0.236966	−	1.03822i	0.0142379	−	0.0623804i	0.981548	+	0.191217i	$0.0612434\pi$
$278$	19.6470	−	7.36330i	1.17835	−	0.441621i
$279$	5.40683	+	6.77995i	0.323698	+	0.405905i
$280$	29.9168	−	2.34475i	1.78787	−	0.140126i
$281$	7.29942	−	9.15318i	0.435447	−	0.546033i	−0.514890	−	0.857256i	$-0.672167\pi$
$281$	7.29942	−	9.15318i	0.435447	−	0.546033i	0.950337	+	0.311223i	$0.100739\pi$
$282$	5.79165	−	17.7969i	0.344888	−	1.05979i
$283$	−3.85859	+	4.83852i	−0.229370	+	0.287620i	−0.883176	−	0.469041i	$-0.844600\pi$
$283$	−3.85859	+	4.83852i	−0.229370	+	0.287620i	0.653807	+	0.756662i	$0.273171\pi$
$284$	−0.534883	−	1.94511i	−0.0317395	−	0.115421i
$285$	−4.47541	+	3.56902i	−0.265100	+	0.211410i
$286$	−0.925348	−	0.553449i	−0.0547170	−	0.0327262i
$287$	1.44348	−	1.47938i	0.0852059	−	0.0873249i
$288$	5.65684	+	0.0130561i	0.333332	+	0.000769338i
$289$	−12.9390	−	6.23110i	−0.761118	−	0.366535i
$290$	18.0319	−	2.43412i	1.05887	−	0.142936i
$291$	−4.95533	+	10.2899i	−0.290487	+	0.603202i
$292$	9.48962	+	10.8820i	0.555338	+	0.636821i
$293$			6.07355i			0.354821i	0.984137	+	0.177410i	$0.0567720\pi$
$293$			6.07355i			0.354821i	−0.984137	+	0.177410i	$0.943228\pi$
$294$	9.48596	+	2.83134i	0.553233	+	0.165127i
$295$		−	33.2036i		−	1.93319i
$296$	17.2218	−	12.4760i	1.00100	−	0.725151i
$297$	−1.06575	+	2.21305i	−0.0618409	+	0.128414i
$298$	1.39908	+	10.3644i	0.0810466	+	0.600393i
$299$	−0.540172	−	0.260133i	−0.0312390	−	0.0150439i
$300$	21.3679	−	5.87595i	1.23368	−	0.339248i
$301$	3.31294	+	26.4765i	0.190955	+	1.52608i
$302$	−3.38427	+	5.65838i	−0.194743	+	0.325603i
$303$	10.1365	−	8.08357i	0.582325	−	0.464389i
$304$	5.68785	−	0.501331i	0.326221	−	0.0287533i
$305$	−15.2512	+	19.1244i	−0.873283	+	1.09506i
$306$	−2.18453	−	0.710913i	−0.124881	−	0.0406402i
$307$	−2.70001	+	3.38571i	−0.154098	+	0.193233i	−0.852888	−	0.522094i	$-0.825151\pi$
$307$	−2.70001	+	3.38571i	−0.154098	+	0.193233i	0.698790	+	0.715327i	$0.253722\pi$
$308$	10.5992	−	7.52274i	0.603946	−	0.428648i
$309$	8.21104	+	10.2963i	0.467110	+	0.585737i
$310$	−17.2590	−	46.0510i	−0.980243	−	2.61552i
$311$	−4.85399	+	21.2667i	−0.275244	+	1.20592i	0.628485	+	0.777821i	$0.283675\pi$
$311$	−4.85399	+	21.2667i	−0.275244	+	1.20592i	−0.903730	+	0.428103i	$0.859182\pi$
$312$	−0.234733	+	0.845967i	−0.0132892	+	0.0478935i
$313$		−	33.2539i		−	1.87962i	−0.341697	−	0.939810i	$-0.611002\pi$
$313$		−	33.2539i		−	1.87962i	0.341697	−	0.939810i	$-0.388998\pi$
$314$	−25.5747	−	8.32277i	−1.44326	−	0.469681i
$315$	10.5567	+	1.05834i	0.594802	+	0.0596305i
$316$	0.476930	−	0.0209778i	0.0268294	−	0.00118009i
$317$	−3.73011	−	16.3427i	−0.209504	−	0.917897i	−0.964898	−	0.262626i	$-0.915411\pi$
$317$	−3.73011	−	16.3427i	−0.209504	−	0.917897i	0.755394	−	0.655271i	$-0.227446\pi$
$318$	−10.0940	−	15.3071i	−0.566044	−	0.858381i
$319$	6.16158	−	4.91370i	0.344982	−	0.275114i
$320$	−30.4828	−	9.99787i	−1.70404	−	0.558898i
$321$	17.3166	−	3.95239i	0.966517	−	0.220601i
$322$	5.49281	−	4.69700i	0.306102	−	0.261754i
$323$	−2.26071	−	0.515991i	−0.125789	−	0.0287105i
$324$	1.96753	+	0.358930i	0.109307	+	0.0199406i
$325$			3.43935i			0.190781i
$326$	26.6131	+	8.66070i	1.47396	+	0.479672i
$327$	−9.09357	+	4.37923i	−0.502876	+	0.242172i
$328$	−2.03302	+	0.865629i	−0.112255	+	0.0477964i
$329$	−29.4159	+	18.9911i	−1.62175	+	1.04701i
$330$	9.63104	−	10.0640i	0.530171	−	0.554004i
$331$	9.44019	+	2.15466i	0.518880	+	0.118431i	0.473937	−	0.880559i	$-0.342832\pi$
$331$	9.44019	+	2.15466i	0.518880	+	0.118431i	0.0449426	+	0.998990i	$0.485690\pi$
$332$	1.07396	−	0.936547i	0.0589414	−	0.0513997i
$333$	6.77407	−	3.26222i	0.371217	−	0.178769i
$334$	12.3833	+	18.7787i	0.677582	+	1.02752i
$335$	−21.9700	−	10.5802i	−1.20035	−	0.578057i
$336$	−8.19432	−	6.69725i	−0.447037	−	0.365365i
$337$	21.3686	−	10.2906i	1.16402	−	0.560564i	0.250806	−	0.968037i	$-0.419304\pi$
$337$	21.3686	−	10.2906i	1.16402	−	0.560564i	0.913217	+	0.407473i	$0.133590\pi$
$338$	15.6611	+	9.36688i	0.851852	+	0.509491i
$339$	−1.28069	−	5.61107i	−0.0695575	−	0.304751i
$340$	10.5329	+	7.66749i	0.571228	+	0.415828i
$341$	−16.6536	−	13.2808i	−0.901841	−	0.719194i
$342$	2.01055	+	0.181888i	0.108718	+	0.00983538i
$343$	−10.4243	−	15.3080i	−0.562860	−	0.826552i
$344$	7.62684	−	27.4867i	0.411212	−	1.48199i
$345$	4.82934	−	6.05580i	0.260003	−	0.326033i
$346$	−3.38320	+	5.65658i	−0.181882	+	0.304100i
$347$	−6.41533	+	1.46426i	−0.344393	+	0.0786054i	−0.391219	−	0.920298i	$-0.627946\pi$
$347$	−6.41533	+	1.46426i	−0.344393	+	0.0786054i	0.0468261	+	0.998903i	$0.485089\pi$
$348$	−5.18793	−	3.77658i	−0.278102	−	0.202446i
$349$	0.515468	+	1.07038i	0.0275923	+	0.0572961i	0.914309	−	0.405016i	$-0.132734\pi$
$349$	0.515468	+	1.07038i	0.0275923	+	0.0572961i	−0.886717	+	0.462312i	$0.847020\pi$
$350$	−37.9481	−	16.6986i	−2.02841	−	0.892580i
$351$	−0.134675	+	0.279656i	−0.00718844	+	0.0149269i
$352$	−13.5536	+	3.06063i	−0.722411	+	0.163132i
$353$	−8.80931	−	18.2927i	−0.468872	−	0.973623i	−0.992565	−	0.121716i	$-0.961160\pi$
$353$	−8.80931	−	18.2927i	−0.468872	−	0.973623i	0.523693	−	0.851907i	$-0.324554\pi$
$354$	−8.09611	+	8.46005i	−0.430304	+	0.449647i
$355$	−0.900045	+	3.94335i	−0.0477694	+	0.209292i
$356$	−10.3279	−	11.8433i	−0.547379	−	0.627694i
$357$	2.33111	+	3.61074i	0.123376	+	0.191101i
$358$	26.3460	−	17.3734i	1.39243	−	0.918213i
$359$	−9.12727	−	18.9530i	−0.481719	−	1.00030i	−0.990256	−	0.139259i	$-0.955528\pi$
$359$	−9.12727	−	18.9530i	−0.481719	−	1.00030i	0.508537	−	0.861040i	$-0.330186\pi$
$360$	−9.98040	−	5.38852i	−0.526013	−	0.284000i
$361$	−16.9623			−0.892753
$362$	−1.61436	+	17.8447i	−0.0848486	+	0.937896i
$363$	−1.10517	+	4.84208i	−0.0580066	+	0.254144i
$364$	1.33939	−	0.950627i	0.0702032	−	0.0498264i
$365$	−6.44190	−	28.2238i	−0.337185	−	1.47730i
$366$	8.54907	−	1.15403i	0.446867	−	0.0603222i
$367$	−8.17245	−	10.2479i	−0.426599	−	0.534938i	0.521358	−	0.853338i	$-0.325426\pi$
$367$	−8.17245	−	10.2479i	−0.426599	−	0.534938i	−0.947956	+	0.318401i	$0.896854\pi$
$368$	−7.35248	+	2.37396i	−0.383274	+	0.123751i
$369$	−0.761638	+	0.173839i	−0.0396493	+	0.00904970i
$370$	−42.2556	+	5.70404i	−2.19676	+	0.296539i
$371$	−3.42180	+	34.1318i	−0.177651	+	1.77204i
$372$	−6.83125	+	15.9418i	−0.354184	+	0.826542i
$373$	27.6235			1.43029			0.715146	−	0.698975i	$-0.246360\pi$
$373$	27.6235			1.43029			0.715146	+	0.698975i	$0.246360\pi$
$374$	5.61990	+	0.508415i	0.290598	+	0.0262895i
$375$	−23.7720	−	5.42581i	−1.22758	−	0.280188i
$376$	36.8388	−	6.63258i	1.89982	−	0.342049i
$377$	0.778621	−	0.620930i	0.0401010	−	0.0319795i
$378$	−2.43172	−	2.84372i	−0.125074	−	0.146265i
$379$	9.78249	+	7.80128i	0.502493	+	0.400725i	0.841665	−	0.539999i	$-0.181576\pi$
$379$	9.78249	+	7.80128i	0.502493	+	0.400725i	−0.339172	+	0.940724i	$0.610147\pi$
$380$	−10.5231	−	4.50927i	−0.539822	−	0.231321i
$381$	2.23258	+	1.78043i	0.114379	+	0.0912140i
$382$	−4.65386	−	12.4176i	−0.238112	−	0.635339i
$383$	−23.7990	−	29.8430i	−1.21607	−	1.52491i	−0.781028	−	0.624496i	$-0.785304\pi$
$383$	−23.7990	−	29.8430i	−1.21607	−	1.52491i	−0.435044	−	0.900409i	$-0.643267\pi$
$384$	5.32899	+	9.98007i	0.271944	+	0.509293i
$385$	−25.8587	+	3.23564i	−1.31788	+	0.164903i
$386$	−2.69568	+	1.01029i	−0.137207	+	0.0514222i
$387$	4.37580	−	9.08645i	0.222435	−	0.461890i
$388$	−22.8197	+	1.00372i	−1.15849	+	0.0509564i
$389$	−11.1236	−	5.35685i	−0.563990	−	0.271603i	0.130089	−	0.991502i	$-0.458474\pi$
$389$	−11.1236	−	5.35685i	−0.563990	−	0.271603i	−0.694079	+	0.719899i	$0.744188\pi$
$390$	1.21705	−	1.27176i	0.0616276	−	0.0643978i
$391$	3.13769			0.158680
$392$	3.98577	+	19.3937i	0.201312	+	0.979527i
$393$	6.76530			0.341264
$394$	9.91471	−	10.3604i	0.499496	−	0.521949i
$395$	−0.862392	−	0.415306i	−0.0433916	−	0.0208963i
$396$	−4.90785	+	0.215872i	−0.246629	+	0.0108480i
$397$	−4.76734	+	9.89948i	−0.239266	+	0.496840i	−0.985677	−	0.168645i	$-0.946061\pi$
$397$	−4.76734	+	9.89948i	−0.239266	+	0.496840i	0.746411	+	0.665485i	$0.231775\pi$
$398$	20.0515	−	7.51491i	1.00509	−	0.376688i
$399$	−2.70316	−	2.63757i	−0.135327	−	0.132043i
$400$	30.5702	+	32.0924i	1.52851	+	1.60462i
$401$	−13.2547	−	16.6208i	−0.661907	−	0.830005i	0.331642	−	0.943405i	$-0.392397\pi$
$401$	−13.2547	−	16.6208i	−0.661907	−	0.830005i	−0.993549	+	0.113400i	$0.963826\pi$
$402$	3.01801	+	8.05275i	0.150524	+	0.401634i
$403$	−2.10446	−	1.67825i	−0.104831	−	0.0835997i
$404$	23.8340	+	10.2132i	1.18579	+	0.508124i
$405$	−3.13519	−	2.50023i	−0.155789	−	0.124237i
$406$	3.07069	+	11.6056i	0.152396	+	0.575979i
$407$	−14.4389	+	11.5146i	−0.715709	+	0.570759i
$408$	−0.814136	−	4.52189i	−0.0403057	−	0.223867i
$409$	3.81724	+	0.871260i	0.188750	+	0.0430810i	0.315851	−	0.948809i	$-0.397710\pi$
$409$	3.81724	+	0.871260i	0.188750	+	0.0430810i	−0.127101	+	0.991890i	$0.540567\pi$
$410$	4.41237	+	0.399174i	0.217911	+	0.0197138i
$411$	11.8121			0.582647
$412$	−10.3742	+	24.2098i	−0.511102	+	1.19273i
$413$	21.7375	−	2.71997i	1.06963	−	0.133841i
$414$	−2.70708	+	0.365427i	−0.133046	+	0.0179597i
$415$	−2.78546	+	0.635762i	−0.136733	+	0.0312084i
$416$	−1.71273	+	0.386763i	−0.0839737	+	0.0189626i
$417$	9.25019	+	11.5994i	0.452984	+	0.568024i
$418$	−4.91409	+	0.663349i	−0.240356	+	0.0324455i
$419$	−1.12680	−	4.93683i	−0.0550478	−	0.241180i	0.939917	−	0.341402i	$-0.110902\pi$
$419$	−1.12680	−	4.93683i	−0.0550478	−	0.241180i	−0.994965	+	0.100222i	$0.968045\pi$
$420$	8.12295	+	19.6029i	0.396359	+	0.956523i
$421$	3.41276	−	14.9523i	0.166328	−	0.728729i	−0.821117	−	0.570761i	$-0.806648\pi$
$421$	3.41276	−	14.9523i	0.166328	−	0.728729i	0.987444	−	0.157968i	$-0.0504944\pi$
$422$	−3.09137	+	34.1712i	−0.150485	+	1.66343i
$423$	13.2339			0.643455
$424$	17.4221	−	32.2685i	0.846092	−	1.56710i
$425$	−7.80975	−	16.2171i	−0.378829	−	0.786646i
$426$	1.19084	−	0.785280i	0.0576965	−	0.0380469i
$427$	−13.7696	−	8.41795i	−0.666359	−	0.407373i
$428$	23.3478	+	26.7735i	1.12856	+	1.29415i
$429$	0.169655	−	0.743307i	0.00819102	−	0.0358872i
$430$	−39.5437	+	41.3212i	−1.90697	+	1.99269i
$431$	15.8523	+	32.9176i	0.763578	+	1.58559i	0.809836	+	0.586656i	$0.199556\pi$
$431$	15.8523	+	32.9176i	0.763578	+	1.58559i	−0.0462587	+	0.998929i	$0.514730\pi$
$432$	1.22904	+	3.80650i	0.0591323	+	0.183140i
$433$	−10.4384	+	21.6756i	−0.501639	+	1.04167i	0.484353	+	0.874873i	$0.339055\pi$
$433$	−10.4384	+	21.6756i	−0.501639	+	1.04167i	−0.985992	+	0.166792i	$0.946659\pi$
$434$	28.7345	−	15.0714i	1.37930	−	0.723450i
$435$	5.58242	+	11.5920i	0.267656	+	0.555794i
$436$	−16.3200	−	11.8802i	−0.781587	−	0.568960i
$437$	−2.68812	+	0.613547i	−0.128590	+	0.0293499i
$438$	−5.24053	+	8.76198i	−0.250402	+	0.418664i
$439$	−11.4721	+	14.3855i	−0.547531	+	0.686583i	−0.976198	−	0.216880i	$-0.930412\pi$
$439$	−11.4721	+	14.3855i	−0.547531	+	0.686583i	0.428667	+	0.903463i	$0.358983\pi$
$440$	26.8454	+	7.44889i	1.27981	+	0.355112i
$441$	0.171916	+	6.99789i	0.00818649	+	0.333233i
$442$	0.710170	+	0.0642469i	0.0337793	+	0.00305591i
$443$	8.95941	+	7.14489i	0.425674	+	0.339464i	0.812779	−	0.582572i	$-0.197953\pi$
$443$	8.95941	+	7.14489i	0.425674	+	0.339464i	−0.387105	+	0.922036i	$0.626525\pi$
$444$	12.1573	+	8.84993i	0.576958	+	0.419999i
$445$	7.01098	+	30.7171i	0.332352	+	1.45613i
$446$	−20.0430	−	11.9877i	−0.949062	−	0.567633i
$447$	−6.66285	+	3.20866i	−0.315142	+	0.151764i
$448$	4.04826	−	20.7753i	0.191262	−	0.981539i
$449$	23.3309	+	11.2356i	1.10106	+	0.530240i	0.893990	−	0.448087i	$-0.147894\pi$
$449$	23.3309	+	11.2356i	1.10106	+	0.530240i	0.207065	+	0.978327i	$0.433609\pi$
$450$	8.62667	+	13.0820i	0.406665	+	0.616690i
$451$	1.72889	−	0.832589i	0.0814102	−	0.0392051i
$452$	8.67539	−	7.56535i	0.408056	−	0.355844i
$453$	−4.54522	−	1.03742i	−0.213553	−	0.0487421i
$454$	−19.3178	+	20.1862i	−0.906631	+	0.947386i
$455$	−3.26769	+	0.408878i	−0.153192	+	0.0191685i
$456$	1.58170	+	3.71480i	0.0740699	+	0.173961i
$457$	15.5292	−	7.47849i	0.726427	−	0.349829i	−0.0338506	−	0.999427i	$-0.510777\pi$
$457$	15.5292	−	7.47849i	0.726427	−	0.349829i	0.760278	+	0.649598i	$0.225063\pi$
$458$	−8.48544	−	2.76142i	−0.396499	−	0.129033i
$459$		−	1.62444i		−	0.0758222i
$460$	15.2398	+	2.78015i	0.710559	+	0.129625i
$461$	−32.6354	−	7.44882i	−1.51998	−	0.346926i	−0.620613	−	0.784117i	$-0.713116\pi$
$461$	−32.6354	−	7.44882i	−1.51998	−	0.346926i	−0.899369	+	0.437191i	$0.855973\pi$
$462$	7.37758	+	5.48077i	0.343236	+	0.254989i
$463$	17.4932	−	3.99271i	0.812978	−	0.185557i	0.204232	−	0.978922i	$-0.434530\pi$
$463$	17.4932	−	3.99271i	0.812978	−	0.185557i	0.608745	+	0.793366i	$0.291673\pi$
$464$	1.74621	−	12.7145i	0.0810660	−	0.590258i
$465$	27.1880	−	21.6817i	1.26081	−	1.00546i
$466$	−4.97539	−	7.54496i	−0.230480	−	0.349514i
$467$	−0.764367	−	3.34891i	−0.0353707	−	0.154969i	0.954159	−	0.299302i	$-0.0967537\pi$
$467$	−0.764367	−	3.34891i	−0.0353707	−	0.154969i	−0.989529	+	0.144332i	$0.953897\pi$
$468$	−0.620190	+	0.0272791i	−0.0286683	+	0.00126098i
$469$	5.12683	−	15.2499i	0.236735	−	0.704173i
$470$	−71.3666	−	23.2248i	−3.29190	−	1.07128i
$471$		−	19.0175i		−	0.876281i
$472$	−22.5670	−	6.26174i	−1.03873	−	0.288220i
$473$	−5.51234	+	24.1511i	−0.253458	+	1.11047i
$474$	0.118466	+	0.316096i	0.00544134	+	0.0145188i
$475$	9.86188	+	12.3664i	0.452494	+	0.567410i
$476$	−4.15687	+	7.52374i	−0.190530	+	0.344850i
$477$	8.08372	−	10.1367i	0.370128	−	0.464126i
$478$	−28.2225	−	9.18446i	−1.29087	−	0.420087i
$479$	7.47224	−	9.36989i	0.341415	−	0.428121i	−0.581249	−	0.813726i	$-0.697436\pi$
$479$	7.47224	−	9.36989i	0.341415	−	0.428121i	0.922664	+	0.385605i	$0.126007\pi$
$480$	0.0523557	−	22.6842i	0.00238970	−	1.03539i
$481$	−1.82460	+	1.45507i	−0.0831946	+	0.0663455i
$482$	−18.1235	+	30.3018i	−0.825501	+	1.38021i
$483$	4.36018	+	2.66556i	0.198395	+	0.121287i
$484$	−9.57769	+	2.63376i	−0.435349	+	0.119716i
$485$	41.2629	+	19.8712i	1.87365	+	0.902303i
$486$	0.189188	+	1.40150i	0.00858172	+	0.0635734i
$487$	10.1187	−	21.0117i	0.458522	−	0.952131i	−0.535662	−	0.844433i	$-0.679938\pi$
$487$	10.1187	−	21.0117i	0.458522	−	0.952131i	0.994184	−	0.107698i	$-0.0343479\pi$
$488$	10.1219	+	13.9722i	0.458195	+	0.632491i
$489$			19.7897i			0.894921i
$490$	11.3538	−	38.0393i	0.512914	−	1.71844i
$491$			1.71363i			0.0773351i	0.999252	+	0.0386676i	$0.0123113\pi$
$491$			1.71363i			0.0773351i	−0.999252	+	0.0386676i	$0.987689\pi$
$492$	−1.02691	−	1.17759i	−0.0462967	−	0.0530897i
$493$	−2.26138	+	4.69581i	−0.101848	+	0.211489i
$494$	−0.620980	+	0.0838255i	−0.0279392	+	0.00377149i
$495$	8.87444	+	4.27371i	0.398877	+	0.192089i
$496$	−34.5535	+	3.04557i	−1.55150	+	0.136750i
$497$	−2.65534	−	0.266205i	−0.119108	−	0.0119409i
$498$	0.864735	+	0.517197i	0.0387497	+	0.0231761i
$499$	−8.52168	+	6.79581i	−0.381483	+	0.304222i	−0.795391	−	0.606096i	$-0.792735\pi$
$499$	−8.52168	+	6.79581i	−0.381483	+	0.304222i	0.413909	+	0.910318i	$0.364163\pi$
$500$	−12.9303	−	47.0213i	−0.578263	−	2.10286i
$501$	−9.91706	+	12.4356i	−0.443061	+	0.555581i
$502$	−8.78810	+	27.0046i	−0.392232	+	1.20527i
$503$	3.29943	−	4.13736i	0.147115	−	0.184476i	−0.702814	−	0.711373i	$-0.748073\pi$
$503$	3.29943	−	4.13736i	0.147115	−	0.184476i	0.849929	+	0.526898i	$0.176645\pi$
$504$	2.71015	−	6.97532i	0.120720	−	0.310705i
$505$	−32.4156	−	40.6478i	−1.44247	−	1.80880i
$506$	6.28295	−	2.35472i	0.279311	−	0.104680i
$507$	−2.87133	+	12.5801i	−0.127520	+	0.558703i
$508$	−1.02496	+	5.61844i	−0.0454750	+	0.249278i
$509$			28.6400i			1.26945i	0.772740	+	0.634723i	$0.218886\pi$
$509$			28.6400i			1.26945i	−0.772740	+	0.634723i	$0.781114\pi$
$510$	−2.85080	+	8.76010i	−0.126236	+	0.387904i
$511$	17.9497	−	6.52938i	0.794047	−	0.288843i
$512$	−12.5437	+	18.8323i	−0.554359	+	0.832277i
$513$	0.317643	+	1.39169i	0.0140243	+	0.0614445i
$514$	24.1824	−	15.9466i	1.06664	−	0.703376i
$515$	41.2888	−	32.9267i	1.81940	−	1.45093i
$516$	20.1509	−	0.886338i	0.887094	−	0.0390189i
$517$	−31.6914	+	7.23336i	−1.39379	+	0.318123i
$518$	−7.19577	−	27.1964i	−0.316164	−	1.19494i
$519$	−4.54378	−	1.03709i	−0.199450	−	0.0455231i
$520$	3.39238	+	0.941294i	0.148766	+	0.0412785i
$521$			0.100273i			0.00439303i	0.999998	+	0.00219652i	$0.000699173\pi$
$521$			0.100273i			0.00439303i	−0.999998	+	0.00219652i	$0.999301\pi$
$522$	1.40415	−	4.31474i	0.0614578	−	0.188851i
$523$	−40.3558	+	19.4344i	−1.76464	+	0.849805i	−0.794495	+	0.607270i	$0.792264\pi$
$523$	−40.3558	+	19.4344i	−1.76464	+	0.849805i	−0.970143	+	0.242535i	$0.922021\pi$
$524$	6.40072	+	11.9209i	0.279617	+	0.520767i
$525$	2.92439	−	29.1702i	0.127631	−	1.27309i
$526$	25.8200	+	24.7092i	1.12580	+	1.07737i
$527$	13.7337	+	3.13463i	0.598250	+	0.136547i
$528$	−5.02375	−	8.44371i	−0.218631	−	0.367465i
$529$	−17.3608	+	8.36054i	−0.754819	+	0.363502i
$530$	−61.3824	+	40.4775i	−2.66628	+	1.75823i
$531$	−7.46010	−	3.59259i	−0.323741	−	0.155905i
$532$	2.09008	−	7.25857i	0.0906163	−	0.314699i
$533$	0.218475	−	0.105212i	0.00946318	−	0.00455723i
$534$	5.70347	−	9.53601i	0.246813	−	0.412663i
$535$	−15.8493	−	69.4404i	−0.685226	−	3.00217i
$536$	−11.3341	+	12.9367i	−0.489558	+	0.558781i
$537$	17.4468	+	13.9134i	0.752886	+	0.600407i
$538$	0.102700	−	1.13522i	0.00442769	−	0.0489426i
$539$	−4.23658	−	16.6640i	−0.182482	−	0.717768i
$540$	1.43933	−	7.88990i	0.0619390	−	0.339527i
$541$	6.68064	−	8.37726i	0.287223	−	0.360166i	−0.617198	−	0.786808i	$-0.711732\pi$
$541$	6.68064	−	8.37726i	0.287223	−	0.360166i	0.904421	+	0.426642i	$0.140303\pi$
$542$	−3.96267	−	2.37007i	−0.170211	−	0.101803i
$543$	−12.3520	+	2.81926i	−0.530074	+	0.120986i
$544$	7.19761	−	5.71277i	0.308595	−	0.244933i
$545$	17.5610	+	36.4657i	0.752229	+	1.56202i
$546$	0.932283	+	0.692589i	0.0398980	+	0.0296401i
$547$	13.8721	−	28.8058i	0.593130	−	1.23165i	−0.361088	−	0.932532i	$-0.617594\pi$
$547$	13.8721	−	28.8058i	0.593130	−	1.23165i	0.954217	−	0.299115i	$-0.0966913\pi$
$548$	11.1755	+	20.8136i	0.477395	+	0.889115i
$549$	2.64666	+	5.49585i	0.112957	+	0.234557i
$550$	−27.8087	−	26.6124i	−1.18577	−	1.13476i
$551$	1.01915	−	4.46519i	0.0434173	−	0.190223i
$552$	−3.20511	−	4.42432i	−0.136418	−	0.188312i
$553$	0.201245	−	0.598606i	0.00855779	−	0.0254553i
$554$	0.829081	+	1.25727i	0.0352243	+	0.0534161i
$555$	−13.0817	−	27.1644i	−0.555287	−	1.15306i
$556$	−11.6871	+	27.2737i	−0.495645	+	1.15666i
$557$	17.2429			0.730606			0.365303	−	0.930889i	$-0.380965\pi$
$557$	17.2429			0.730606			0.365303	+	0.930889i	$0.380965\pi$
$558$	−12.2140	−	1.10496i	−0.517060	−	0.0467769i
$559$	−0.696578	+	3.05191i	−0.0294621	+	0.129082i
$560$	−26.8564	+	32.8597i	−1.13489	+	1.38857i
$561$	0.887880	+	3.89006i	0.0374863	+	0.164238i
$562$	2.21489	+	16.4079i	0.0934294	+	0.692125i
$563$	10.0920	+	12.6550i	0.425328	+	0.533344i	0.947610	−	0.319428i	$-0.103491\pi$
$563$	10.0920	+	12.6550i	0.425328	+	0.533344i	−0.522283	+	0.852772i	$0.674919\pi$
$564$	12.5208	+	23.3190i	0.527219	+	0.981908i
$565$	−22.5007	+	5.13564i	−0.946612	+	0.216058i
$566$	−1.17083	−	8.67348i	−0.0492135	−	0.364574i
$567$	1.38001	−	2.25734i	0.0579548	−	0.0947993i
$568$	2.51038	+	1.35538i	0.105333	+	0.0568705i
$569$	−11.6351			−0.487767			−0.243884	−	0.969805i	$-0.578421\pi$
$569$	−11.6351			−0.487767			−0.243884	+	0.969805i	$0.578421\pi$
$570$	0.729381	−	8.06240i	0.0305504	−	0.337697i
$571$	−26.4896	−	6.04608i	−1.10856	−	0.253020i	−0.371218	−	0.928546i	$-0.621060\pi$
$571$	−26.4896	−	6.04608i	−1.10856	−	0.253020i	−0.737337	+	0.675525i	$0.763917\pi$
$572$	1.47027	−	0.404308i	0.0614750	−	0.0169049i
$573$	7.33120	−	5.84644i	0.306265	−	0.244238i
$574$	0.100123	+	2.92136i	0.00417906	+	0.121935i
$575$	−16.7333	−	13.3444i	−0.697828	−	0.556499i
$576$	−5.54449	+	5.76702i	−0.231021	+	0.240293i
$577$	−3.94969	−	3.14978i	−0.164428	−	0.131127i	0.537819	−	0.843060i	$-0.319248\pi$
$577$	−3.94969	−	3.14978i	−0.164428	−	0.131127i	−0.702247	+	0.711933i	$0.747820\pi$
$578$	19.0181	−	7.12758i	0.791047	−	0.296468i
$579$	−1.26918	−	1.59150i	−0.0527453	−	0.0661405i
$580$	−15.1443	+	20.8039i	−0.628832	+	0.863835i
$581$	−0.644396	−	1.77149i	−0.0267340	−	0.0734936i
$582$	−5.66827	−	15.1243i	−0.234957	−	0.626921i
$583$	−13.8177	+	28.6928i	−0.572271	+	1.18833i
$584$	−20.3973	−	0.944349i	−0.844046	−	0.0390774i
$585$	1.12144	+	0.540056i	0.0463657	+	0.0223286i
$586$	−6.20556	−	5.93861i	−0.256349	−	0.245322i
$587$	−7.71705			−0.318517			−0.159258	−	0.987237i	$-0.550910\pi$
$587$	−7.71705			−0.318517			−0.159258	+	0.987237i	$0.550910\pi$
$588$	−12.1681	+	6.92371i	−0.501803	+	0.285529i
$589$	−12.3789			−0.510064
$590$	33.9253	+	32.4659i	1.39668	+	1.33660i
$591$	9.13583	+	4.39958i	0.375798	+	0.180975i
$592$	−4.09203	+	29.7949i	−0.168181	+	1.22456i
$593$	10.0799	−	20.9311i	0.413931	−	0.859537i	−0.584896	−	0.811109i	$-0.698865\pi$
$593$	10.0799	−	20.9311i	0.413931	−	0.859537i	0.998827	−	0.0484280i	$-0.0154211\pi$
$594$	−1.21908	−	3.25279i	−0.0500194	−	0.133464i
$595$	14.4793	−	9.34790i	0.593592	−	0.383226i
$596$	−11.9577	−	8.70463i	−0.489805	−	0.356555i
$597$	9.44065	+	11.8382i	0.386380	+	0.484505i
$598$	0.793958	−	0.297559i	0.0324673	−	0.0121681i
$599$	−10.4273	−	8.31548i	−0.426047	−	0.339761i	0.386876	−	0.922132i	$-0.373554\pi$
$599$	−10.4273	−	8.31548i	−0.426047	−	0.339761i	−0.812924	+	0.582370i	$0.802125\pi$
$600$	−14.8895	+	27.5778i	−0.607862	+	1.12586i
$601$	22.6026	+	18.0250i	0.921981	+	0.735255i	0.964567	−	0.263838i	$-0.0849883\pi$
$601$	22.6026	+	18.0250i	0.921981	+	0.735255i	−0.0425863	+	0.999093i	$0.513560\pi$
$602$	−30.2913	−	22.5033i	−1.23458	−	0.917164i
$603$	−4.75425	+	3.79139i	−0.193608	+	0.154397i
$604$	−2.47229	−	8.99049i	−0.100596	−	0.365818i
$605$	19.4170	+	4.43181i	0.789415	+	0.180179i
$606$	−1.65200	+	18.2608i	−0.0671077	+	0.741792i
$607$	34.5730			1.40327			0.701637	−	0.712535i	$-0.252453\pi$
$607$	34.5730			1.40327			0.701637	+	0.712535i	$0.252453\pi$
$608$	−5.04925	+	6.30167i	−0.204774	+	0.255567i
$609$	−7.13169	+	4.60425i	−0.288990	+	0.186574i
$610$	−4.62773	−	34.2823i	−0.187371	−	1.38805i
$611$	−4.00475	+	0.914058i	−0.162015	+	0.0369788i
$612$	2.86236	−	1.53690i	0.115704	−	0.0621254i
$613$	−14.2625	−	17.8846i	−0.576058	−	0.722354i	0.405377	−	0.914150i	$-0.367140\pi$
$613$	−14.2625	−	17.8846i	−0.576058	−	0.722354i	−0.981435	+	0.191796i	$0.938569\pi$
$614$	−0.819274	−	6.06918i	−0.0330632	−	0.244932i
$615$	0.697104	+	3.05421i	0.0281100	+	0.123158i
$616$	−2.67747	+	18.1852i	−0.107878	+	0.732702i
$617$	−2.10358	+	9.21638i	−0.0846869	+	0.371038i	−0.999457	−	0.0329363i	$-0.989514\pi$
$617$	−2.10358	+	9.21638i	−0.0846869	+	0.371038i	0.914771	+	0.403974i	$0.132371\pi$
$618$	−18.5487	−	1.67805i	−0.746139	−	0.0675009i
$619$	−7.98330			−0.320876			−0.160438	−	0.987046i	$-0.551291\pi$
$619$	−7.98330			−0.320876			−0.160438	+	0.987046i	$0.551291\pi$
$620$	63.9274	+	27.3937i	2.56739	+	1.10016i
$621$	−0.838071	−	1.74027i	−0.0336306	−	0.0698348i
$622$	−16.9828	−	25.7537i	−0.680948	−	1.03263i
$623$	−19.5354	+	7.10618i	−0.782667	+	0.284703i
$624$	−0.634836	−	1.06701i	−0.0254138	−	0.0427145i
$625$	−9.42953	+	41.3135i	−0.377181	+	1.65254i
$626$	33.9767	+	32.5150i	1.35798	+	1.29956i
$627$	−1.52133	−	3.15907i	−0.0607560	−	0.126161i
$628$	33.5101	−	17.9927i	1.33720	−	0.717987i
$629$	5.29926	−	11.0040i	0.211296	−	0.438760i
$630$	−11.4035	+	9.75132i	−0.454326	+	0.388502i
$631$	17.2327	+	35.7841i	0.686024	+	1.42454i	0.894749	+	0.446569i	$0.147354\pi$
$631$	17.2327	+	35.7841i	0.686024	+	1.42454i	−0.208725	+	0.977974i	$0.566931\pi$
$632$	−0.444900	+	0.507808i	−0.0176972	+	0.0201995i
$633$	−23.6531	+	5.39867i	−0.940126	+	0.214578i
$634$	20.3451	+	12.1684i	0.808009	+	0.483269i
$635$	7.13961	−	8.95279i	0.283327	−	0.355281i
$636$	25.5096	+	4.65363i	1.01152	+	0.184529i
$637$	−0.535364	−	2.10578i	−0.0212119	−	0.0834339i
$638$	−1.00419	+	11.1000i	−0.0397561	+	0.439454i
$639$	0.788599	+	0.628886i	0.0311965	+	0.0248784i
$640$	40.0207	−	21.3696i	1.58196	−	0.844706i
$641$	−4.96871	−	21.7693i	−0.196252	−	0.859837i	−0.973143	−	0.230202i	$-0.926061\pi$
$641$	−4.96871	−	21.7693i	−0.196252	−	0.859837i	0.776891	−	0.629635i	$-0.216796\pi$
$642$	−12.8935	+	21.5575i	−0.508867	+	0.850808i
$643$	−2.15240	+	1.03654i	−0.0848825	+	0.0408773i	−0.475843	−	0.879530i	$-0.657857\pi$
$643$	−2.15240	+	1.03654i	−0.0848825	+	0.0408773i	0.390961	+	0.920407i	$0.372143\pi$
$644$	−0.571681	+	10.2048i	−0.0225274	+	0.402127i
$645$	−36.4372	−	17.5472i	−1.43471	−	0.690921i
$646$	2.73768	−	1.80532i	0.107713	−	0.0710292i
$647$	−6.60910	+	3.18278i	−0.259831	+	0.125128i	−0.559265	−	0.828989i	$-0.688916\pi$
$647$	−6.60910	+	3.18278i	−0.259831	+	0.125128i	0.299434	+	0.954117i	$0.403202\pi$
$648$	−2.29055	+	1.65934i	−0.0899811	+	0.0651849i
$649$	19.8284	+	4.52571i	0.778333	+	0.177649i
$650$	−3.51410	−	3.36293i	−0.137834	−	0.131905i
$651$	16.4216	+	16.0231i	0.643614	+	0.627996i
$652$	−34.8708	+	18.7233i	−1.36564	+	0.733259i
$653$	27.7572	−	13.3672i	1.08622	−	0.523097i	0.196921	−	0.980419i	$-0.436906\pi$
$653$	27.7572	−	13.3672i	1.08622	−	0.523097i	0.889301	+	0.457322i	$0.151191\pi$
$654$	4.41711	−	13.5732i	0.172723	−	0.530752i
$655$		−	27.1292i		−	1.06003i
$656$	1.10341	−	2.92361i	0.0430810	−	0.114148i
$657$	−7.03826	−	1.60644i	−0.274589	−	0.0626731i
$658$	9.35850	−	48.6244i	0.364832	−	1.89558i
$659$	−43.1750	+	9.85441i	−1.68186	+	0.383873i	−0.953517	−	0.301341i	$-0.902566\pi$
$659$	−43.1750	+	9.85441i	−1.68186	+	0.383873i	−0.728342	+	0.685214i	$0.759709\pi$
$660$	0.865658	+	19.6807i	0.0336957	+	0.766072i
$661$	−12.6399	+	10.0800i	−0.491636	+	0.392067i	−0.837688	−	0.546148i	$-0.816093\pi$
$661$	−12.6399	+	10.0800i	−0.491636	+	0.392067i	0.346052	+	0.938215i	$0.387522\pi$
$662$	−11.4319	+	7.53858i	−0.444315	+	0.292995i
$663$	0.112199	+	0.491575i	0.00435744	+	0.0190912i
$664$	−0.0931994	+	2.01305i	−0.00361684	+	0.0781213i
$665$	−10.5768	+	10.8398i	−0.410150	+	0.420350i
$666$	−3.29044	+	10.1110i	−0.127502	+	0.391795i
$667$			6.19735i			0.239962i
$668$	−31.2950	−	5.70905i	−1.21084	−	0.220890i
$669$	3.67471	−	16.1000i	0.142073	−	0.622461i
$670$	32.2920	−	12.1024i	1.24755	−	0.467556i
$671$	−9.34190	−	11.7144i	−0.360640	−	0.452229i
$672$	14.8551	−	1.82397i	0.573047	−	0.0703611i
$673$	−29.8400	+	37.4182i	−1.15025	+	1.44237i	−0.273203	+	0.961956i	$0.588083\pi$
$673$	−29.8400	+	37.4182i	−1.15025	+	1.44237i	−0.877045	+	0.480409i	$0.840488\pi$
$674$	−10.3796	+	31.8950i	−0.399807	+	1.22855i
$675$	−6.90861	+	8.66313i	−0.265913	+	0.333444i
$676$	−24.8836	+	6.84273i	−0.957062	+	0.263182i
$677$	13.9261	−	11.1057i	0.535225	−	0.426828i	−0.318215	−	0.948018i	$-0.603083\pi$
$677$	13.9261	−	11.1057i	0.535225	−	0.426828i	0.853440	+	0.521191i	$0.174512\pi$
$678$	6.98526	+	4.17788i	0.268267	+	0.160450i
$679$	−9.62896	+	28.6415i	−0.369526	+	1.09916i
$680$	−18.1330	+	3.26473i	−0.695371	+	0.125197i
$681$	−17.8003	−	8.57215i	−0.682107	−	0.328486i
$682$	29.8530	−	4.02983i	1.14313	−	0.154310i
$683$	−7.92310	+	16.4525i	−0.303169	+	0.629537i	−0.995780	−	0.0917746i	$-0.970746\pi$
$683$	−7.92310	+	16.4525i	−0.303169	+	0.629537i	0.692611	+	0.721311i	$0.256460\pi$
$684$	−2.15172	+	1.87640i	−0.0822730	+	0.0717459i
$685$		−	47.3671i		−	1.80980i
$686$	25.8334	+	4.31697i	0.986323	+	0.164823i
$687$		−	6.30984i		−	0.240735i
$688$	20.6268	+	34.6686i	0.786389	+	1.32173i
$689$	−1.74610	+	3.62582i	−0.0665212	+	0.138133i
$690$	1.46538	+	10.8556i	0.0557861	+	0.413264i
$691$	7.18973	+	3.46239i	0.273510	+	0.131716i	0.565612	−	0.824672i	$-0.308640\pi$
$691$	7.18973	+	3.46239i	0.273510	+	0.131716i	−0.292101	+	0.956387i	$0.594354\pi$
$692$	−2.47150	−	8.98763i	−0.0939524	−	0.341659i
$693$	−2.07091	+	6.15996i	−0.0786673	+	0.233997i
$694$	4.77671	−	7.98649i	0.181321	−	0.303163i
$695$	46.5141	−	37.0938i	1.76438	−	1.40705i
$696$	8.93133	−	1.60803i	0.338541	−	0.0609520i
$697$	−0.791240	+	0.992183i	−0.0299703	+	0.0375816i
$698$	−1.59766	−	0.519926i	−0.0604723	−	0.0196795i
$699$	3.98451	−	4.99642i	0.150708	−	0.188982i
$700$	54.1665	−	22.4453i	2.04730	−	0.848351i
$701$	−4.45988	−	5.59251i	−0.168447	−	0.211226i	0.690442	−	0.723388i	$-0.257416\pi$
$701$	−4.45988	−	5.59251i	−0.168447	−	0.211226i	−0.858889	+	0.512162i	$0.828845\pi$
$702$	−0.154051	−	0.411045i	−0.00581430	−	0.0155139i
$703$	−2.38825	+	10.4636i	−0.0900745	+	0.394642i
$704$	10.1253	−	16.8409i	0.381613	−	0.634714i
$705$		−	53.0687i		−	1.99868i
$706$	27.3039	+	8.88551i	1.02760	+	0.334410i
$707$	23.9557	−	24.5514i	0.900945	−	0.923351i
$708$	−0.727695	−	16.5442i	−0.0273485	−	0.621768i
$709$	1.19596	+	5.23984i	0.0449152	+	0.196786i	0.992408	−	0.122992i	$-0.0392488\pi$
$709$	1.19596	+	5.23984i	0.0449152	+	0.196786i	−0.947493	+	0.319778i	$0.896392\pi$
$710$	−3.14902	−	4.77535i	−0.118180	−	0.179216i
$711$	−0.186620	+	0.148824i	−0.00699878	+	0.00558134i
$712$	22.1992	+	1.02777i	0.831950	+	0.0385174i
$713$	16.3303	−	3.72728i	0.611573	−	0.139588i
$714$	−5.96854	−	1.14874i	−0.223367	−	0.0429904i
$715$	−2.98070	−	0.680326i	−0.111472	−	0.0254427i
$716$	−8.00965	+	43.9061i	−0.299335	+	1.64085i
$717$		−	20.9865i		−	0.783755i
$718$	28.2894	+	9.20622i	1.05575	+	0.343573i
$719$	−2.73796	+	1.31853i	−0.102109	+	0.0491730i	−0.484241	−	0.874935i	$-0.660904\pi$
$719$	−2.73796	+	1.31853i	−0.102109	+	0.0491730i	0.382132	+	0.924108i	$0.375190\pi$
$720$	15.2643	−	4.92853i	0.568866	−	0.183675i
$721$	24.9386	+	24.3334i	0.928761	+	0.906224i
$722$	16.5854	−	17.3310i	0.617246	−	0.644993i
$723$	−24.3406	−	5.55558i	−0.905236	−	0.206614i
$724$	−16.6541	−	19.0977i	−0.618943	−	0.709759i
$725$	32.0309	−	15.4253i	1.18960	−	0.572881i
$726$	−3.86671	−	5.86370i	−0.143507	−	0.217622i
$727$	7.83631	+	3.77377i	0.290632	+	0.139961i	0.573519	−	0.819192i	$-0.305578\pi$
$727$	7.83631	+	3.77377i	0.290632	+	0.139961i	−0.282887	+	0.959153i	$0.591292\pi$
$728$	−0.338344	+	2.29801i	−0.0125399	+	0.0851699i
$729$	−0.900969	+	0.433884i	−0.0333692	+	0.0160698i
$730$	35.1360	+	21.0148i	1.30044	+	0.777793i
$731$	−3.64551	−	15.9720i	−0.134834	−	0.590746i
$732$	−7.18001	+	9.86328i	−0.265381	+	0.364557i
$733$	13.6631	+	10.8960i	0.504658	+	0.402451i	0.842454	−	0.538768i	$-0.181110\pi$
$733$	13.6631	+	10.8960i	0.504658	+	0.402451i	−0.337796	+	0.941219i	$0.609681\pi$
$734$	18.4615	+	1.67016i	0.681428	+	0.0616468i
$735$	28.0619	−	0.689394i	1.03508	−	0.0254287i
$736$	4.76356	−	9.83350i	0.175587	−	0.362468i
$737$	9.31278	−	11.6779i	0.343041	−	0.430159i
$738$	0.567099	−	0.948169i	0.0208752	−	0.0349026i
$739$	20.2468	−	4.62121i	0.744792	−	0.169994i	0.166748	−	0.986000i	$-0.446673\pi$
$739$	20.2468	−	4.62121i	0.744792	−	0.169994i	0.578044	+	0.816006i	$0.303816\pi$
$740$	35.4887	−	48.7513i	1.30459	−	1.79213i
$741$	−0.192246	−	0.399203i	−0.00706233	−	0.0146651i
$742$	−31.5279	−	36.8696i	−1.15743	−	1.35353i
$743$	−7.70535	+	16.0003i	−0.282682	+	0.586995i	−0.993165	−	0.116720i	$-0.962762\pi$
$743$	−7.70535	+	16.0003i	−0.282682	+	0.586995i	0.710483	+	0.703714i	$0.248476\pi$
$744$	−9.60879	−	22.5673i	−0.352275	−	0.827357i
$745$	12.8669	+	26.7184i	0.471407	+	0.978886i
$746$	−27.0098	+	28.2239i	−0.988898	+	1.03335i
$747$	−0.158542	+	0.694618i	−0.00580075	+	0.0254147i
$748$	−6.01450	+	5.24493i	−0.219912	+	0.191773i
$749$	44.1625	−	16.0645i	1.61366	−	0.586986i
$750$	28.7876	−	18.9835i	1.05117	−	0.693178i
$751$	0.730139	+	1.51615i	0.0266431	+	0.0553250i	0.913866	−	0.406017i	$-0.133083\pi$
$751$	0.730139	+	1.51615i	0.0266431	+	0.0553250i	−0.887223	+	0.461342i	$0.847368\pi$
$752$	−29.2436	+	44.1248i	−1.06640	+	1.60906i
$753$	−20.0808			−0.731785
$754$	−0.126896	+	1.40268i	−0.00462128	+	0.0510825i
$755$	−4.16010	+	18.2266i	−0.151402	+	0.663334i
$756$	5.28322	+	0.295969i	0.192149	+	0.0107643i
$757$	8.73619	+	38.2757i	0.317522	+	1.39116i	0.841883	+	0.539660i	$0.181447\pi$
$757$	8.73619	+	38.2757i	0.317522	+	1.39116i	−0.524361	+	0.851496i	$0.675696\pi$
$758$	−17.5360	+	2.36717i	−0.636936	+	0.0859794i
$759$	2.95813	+	3.70938i	0.107373	+	0.134642i
$760$	14.8966	−	6.34271i	0.540355	−	0.230074i
$761$	35.6181	−	8.12960i	1.29115	−	0.294698i	0.478832	−	0.877906i	$-0.341060\pi$
$761$	35.6181	−	8.12960i	1.29115	−	0.294698i	0.812322	+	0.583209i	$0.198203\pi$
$762$	−4.00211	+	0.540241i	−0.144981	+	0.0195709i
$763$	−22.4346	+	14.4839i	−0.812187	+	0.524352i
$764$	17.2379	+	7.38668i	0.623647	+	0.267241i
$765$	−6.51408			−0.235517
$766$	53.7618	+	4.86367i	1.94249	+	0.175732i
$767$	2.50566	+	0.571900i	0.0904741	+	0.0206501i
$768$	−15.4076	−	4.31352i	−0.555973	−	0.155651i
$769$	−30.9715	+	24.6989i	−1.11686	+	0.890666i	−0.994799	−	0.101857i	$-0.967522\pi$
$769$	−30.9715	+	24.6989i	−1.11686	+	0.890666i	−0.122060	+	0.992523i	$0.538950\pi$
$770$	21.9782	−	29.5845i	0.792040	−	1.06615i
$771$	16.0140	+	12.7708i	0.576731	+	0.459928i
$772$	1.60354	−	3.74211i	0.0577127	−	0.134682i
$773$	6.26391	+	4.99530i	0.225297	+	0.179669i	0.729633	−	0.683839i	$-0.239691\pi$
$773$	6.26391	+	4.99530i	0.225297	+	0.179669i	−0.504335	+	0.863508i	$0.668262\pi$
$774$	5.00536	+	13.3555i	0.179914	+	0.480053i
$775$	−59.9106	−	75.1256i	−2.15205	−	2.69859i
$776$	21.2871	−	24.2971i	0.764164	−	0.872215i
$777$	16.7122	−	10.7895i	0.599547	−	0.387071i
$778$	16.3498	−	6.12756i	0.586167	−	0.219684i
$779$	0.483859	−	1.00474i	0.0173360	−	0.0359987i
$780$	0.109391	+	2.48700i	0.00391681	+	0.0890488i
$781$	−2.23220	−	1.07497i	−0.0798744	−	0.0384655i
$782$	−3.06798	+	3.20589i	−0.109711	+	0.114642i
$783$	3.20847			0.114661
$784$	−23.7124	−	14.8904i	−0.846871	−	0.531799i
$785$	−76.2614			−2.72189
$786$	−6.61499	+	6.91234i	−0.235949	+	0.246555i
$787$	−0.0898893	−	0.0432884i	−0.00320421	−	0.00154306i	0.432281	−	0.901739i	$-0.357709\pi$
$787$	−0.0898893	−	0.0432884i	−0.00320421	−	0.00154306i	−0.435485	+	0.900196i	$0.643423\pi$
$788$	0.891155	+	20.2604i	0.0317461	+	0.721748i
$789$	−10.9646	+	22.7681i	−0.390348	+	0.810567i
$790$	1.26756	−	0.475057i	0.0450979	−	0.0169018i
$791$	−5.20538	−	14.3099i	−0.185082	−	0.508802i
$792$	4.57824	−	5.22560i	0.162681	−	0.185683i
$793$	−1.18051	−	1.48031i	−0.0419211	−	0.0525674i
$794$	−5.45323	−	14.5505i	−0.193528	−	0.516377i
$795$	−40.6486	−	32.4162i	−1.44166	−	1.14968i
$796$	−11.9278	+	27.8353i	−0.422769	+	0.986596i
$797$	−32.7138	−	26.0884i	−1.15878	−	0.924097i	−0.160761	−	0.986993i	$-0.551395\pi$
$797$	−32.7138	−	26.0884i	−1.15878	−	0.924097i	−0.998020	+	0.0628960i	$0.979966\pi$
$798$	5.33799	−	0.182948i	0.188963	−	0.00647628i
$799$	16.8075	−	13.4036i	0.594608	−	0.474184i
$800$	−62.6809	−	0.144669i	−2.21611	−	0.00511482i
$801$	7.66001	+	1.74835i	0.270653	+	0.0617748i
$802$	29.9423	+	2.70879i	1.05730	+	0.0956507i
$803$	17.7326			0.625771
$804$	−11.1787	−	4.79023i	−0.394243	−	0.168938i
$805$	10.6891	−	17.4846i	0.376740	−	0.616250i
$806$	3.77243	−	0.509238i	0.132878	−	0.0179371i
$807$	0.785789	−	0.179351i	0.0276611	−	0.00631346i
$808$	−33.7396	+	14.3658i	−1.18696	+	0.505386i
$809$	6.98235	+	8.75560i	0.245487	+	0.307830i	0.889275	−	0.457373i	$-0.151210\pi$
$809$	6.98235	+	8.75560i	0.245487	+	0.307830i	−0.643788	+	0.765204i	$0.722638\pi$
$810$	5.62010	−	0.758653i	0.197470	−	0.0266563i
$811$	7.16256	+	31.3812i	0.251511	+	1.10194i	0.930066	+	0.367393i	$0.119750\pi$
$811$	7.16256	+	31.3812i	0.251511	+	1.10194i	−0.678554	+	0.734550i	$0.737393\pi$
$812$	−14.8604	−	8.21036i	−0.521497	−	0.288127i
$813$	0.726522	−	3.18310i	0.0254802	−	0.111636i
$814$	2.35318	−	26.0115i	0.0824790	−	0.911703i
$815$	79.3578			2.77978
$816$	5.41622	+	3.58959i	0.189606	+	0.125661i
$817$	6.24636	+	12.9707i	0.218532	+	0.453787i
$818$	−4.62263	+	3.04831i	−0.161626	+	0.106582i
$819$	−0.261695	+	0.778416i	−0.00914435	+	0.0272001i
$820$	−4.72218	+	4.11797i	−0.164906	+	0.143806i
$821$	8.37153	−	36.6781i	0.292168	−	1.28007i	−0.589332	−	0.807891i	$-0.700609\pi$
$821$	8.37153	−	36.6781i	0.292168	−	1.28007i	0.881501	−	0.472182i	$-0.156534\pi$
$822$	−11.5496	+	12.0688i	−0.402840	+	0.420948i
$823$	9.18886	+	19.0809i	0.320303	+	0.665117i	0.997499	−	0.0706865i	$-0.0225190\pi$
$823$	9.18886	+	19.0809i	0.320303	+	0.665117i	−0.677195	+	0.735803i	$0.736805\pi$
$824$	−14.5923	−	34.2717i	−0.508347	−	1.19391i
$825$	11.8091	−	24.5218i	0.411139	−	0.853739i
$826$	−18.4755	+	24.8695i	−0.642844	+	0.865321i
$827$	−9.57533	−	19.8834i	−0.332967	−	0.691413i	0.665521	−	0.746379i	$-0.268209\pi$
$827$	−9.57533	−	19.8834i	−0.332967	−	0.691413i	−0.998488	+	0.0549659i	$0.982495\pi$
$828$	2.27357	−	3.12323i	0.0790119	−	0.108540i
$829$	−36.9617	+	8.43626i	−1.28373	+	0.293003i	−0.809355	−	0.587319i	$-0.800183\pi$
$829$	−36.9617	+	8.43626i	−1.28373	+	0.293003i	−0.474376	+	0.880322i	$0.657326\pi$
$830$	2.07399	−	3.46764i	0.0719892	−	0.120363i
$831$	−0.663965	+	0.832585i	−0.0230327	+	0.0288821i
$832$	1.27951	−	2.12813i	0.0443590	−	0.0737796i
$833$	7.30593	+	8.71344i	0.253136	+	0.301903i
$834$	−20.8962	−	1.89041i	−0.723575	−	0.0654596i
$835$	49.8674	+	39.7680i	1.72573	+	1.37623i
$836$	4.12715	−	5.66951i	0.142740	−	0.196084i
$837$	−1.92967	−	8.45446i	−0.0666993	−	0.292229i
$838$	6.14590	+	3.67586i	0.212307	+	0.126980i
$839$	−26.0045	+	12.5231i	−0.897774	+	0.432345i	−0.825085	−	0.565009i	$-0.808873\pi$
$839$	−26.0045	+	12.5231i	−0.897774	+	0.432345i	−0.0726898	+	0.997355i	$0.523158\pi$
$840$	−27.9714	−	10.8679i	−0.965106	−	0.374976i
$841$	16.8533	+	8.11610i	0.581147	+	0.279865i
$842$	11.9403	+	18.1070i	0.411491	+	0.624008i
$843$	−10.5480	+	5.07963i	−0.363291	+	0.174952i
$844$	−31.8913	−	36.5706i	−1.09774	−	1.25881i
$845$	50.4470	+	11.5142i	1.73543	+	0.396101i
$846$	−12.9399	+	13.5216i	−0.444882	+	0.464881i
$847$	−1.31079	+	13.0749i	−0.0450393	+	0.449258i
$848$	15.9349	+	49.3524i	0.547206	+	1.69477i
$849$	5.57583	−	2.68518i	0.191362	−	0.0921551i
$850$	24.2058	+	7.87731i	0.830253	+	0.270189i
$851$		−	14.5227i		−	0.497832i
$852$	−0.362037	+	1.98456i	−0.0124032	+	0.0679899i
$853$	−29.8200	−	6.80623i	−1.02102	−	0.233041i	−0.320935	−	0.947101i	$-0.603997\pi$
$853$	−29.8200	−	6.80623i	−1.02102	−	0.233041i	−0.700084	+	0.714060i	$0.746854\pi$
$854$	22.0646	−	5.83799i	0.755035	−	0.199772i
$855$	5.58074	−	1.27377i	0.190857	−	0.0435619i
$856$	−50.1845	−	2.32343i	−1.71527	−	0.0794131i
$857$	−17.3170	+	13.8099i	−0.591538	+	0.471736i	−0.872922	−	0.487859i	$-0.837778\pi$
$857$	−17.3170	+	13.8099i	−0.591538	+	0.471736i	0.281384	+	0.959595i	$0.409207\pi$
$858$	0.593577	+	0.900134i	0.0202644	+	0.0307301i
$859$	6.01821	+	26.3675i	0.205339	+	0.899648i	0.967622	+	0.252404i	$0.0812213\pi$
$859$	6.01821	+	26.3675i	0.205339	+	0.899648i	−0.762283	+	0.647244i	$0.775922\pi$
$860$	−3.55427	−	80.8063i	−0.121199	−	2.75547i
$861$	−1.94241	+	0.706570i	−0.0661971	+	0.0240799i
$862$	−49.1331	−	15.9894i	−1.67348	−	0.544601i
$863$			4.60588i			0.156786i	0.996923	+	0.0783929i	$0.0249789\pi$
$863$			4.60588i			0.156786i	−0.996923	+	0.0783929i	$0.975021\pi$
$864$	−5.09097	−	2.46617i	−0.173198	−	0.0839009i
$865$	−4.15878	+	18.2208i	−0.141403	+	0.619526i
$866$	−11.9402	−	31.8594i	−0.405746	−	1.08263i
$867$	8.95407	+	11.2280i	0.304096	+	0.381324i
$868$	−12.6971	+	44.0956i	−0.430969	+	1.49670i
$869$	0.365556	−	0.458393i	0.0124007	−	0.0155499i
$870$	−17.3023	−	5.63071i	−0.586605	−	0.190899i
$871$	1.17683	−	1.47570i	0.0398753	−	0.0500020i
$872$	28.0959	−	5.05847i	0.951446	−	0.171301i
$873$	8.92920	−	7.12080i	0.302208	−	0.241003i
$874$	2.00152	−	3.34646i	0.0677023	−	0.113196i
$875$	−64.1906	−	6.43527i	−2.17004	−	0.217552i
$876$	−3.82833	−	13.9217i	−0.129347	−	0.470372i
$877$	−22.2154	−	10.6984i	−0.750162	−	0.361259i	0.0194162	−	0.999811i	$-0.493819\pi$
$877$	−22.2154	−	10.6984i	−0.750162	−	0.361259i	−0.769578	+	0.638552i	$0.779534\pi$
$878$	−3.48100	−	25.7873i	−0.117478	−	0.870279i
$879$	2.63522	−	5.47208i	0.0888836	−	0.184569i
$880$	−33.8598	+	20.1455i	−1.14141	+	0.679105i
$881$		−	20.1714i		−	0.679591i	−0.940499	−	0.339796i	$-0.889642\pi$
$881$		−	20.1714i		−	0.679591i	0.940499	−	0.339796i	$-0.110358\pi$
$882$	−7.31808	−	6.66676i	−0.246413	−	0.224481i
$883$		−	33.9620i		−	1.14291i	−0.820632	−	0.571457i	$-0.806378\pi$
$883$		−	33.9620i		−	1.14291i	0.820632	−	0.571457i	$-0.193622\pi$
$884$	−0.760035	+	0.662786i	−0.0255627	+	0.0222919i
$885$	−14.4065	+	29.9154i	−0.484269	+	1.00560i
$886$	−16.0605	+	2.16800i	−0.539564	+	0.0728353i
$887$	−30.8240	−	14.8440i	−1.03497	−	0.498414i	−0.162307	−	0.986740i	$-0.551893\pi$
$887$	−30.8240	−	14.8440i	−1.03497	−	0.498414i	−0.872661	+	0.488326i	$0.837608\pi$
$888$	−20.9294	+	3.76820i	−0.702346	+	0.126453i
$889$	6.44602	+	3.94072i	0.216193	+	0.132168i
$890$	−38.2399	−	22.8713i	−1.28181	−	0.766646i
$891$	1.92041	−	1.53148i	0.0643362	−	0.0513064i
$892$	31.8459	−	8.75727i	1.06628	−	0.293215i
$893$	−11.7784	+	14.7697i	−0.394149	+	0.494248i
$894$	3.23641	−	9.94503i	0.108242	−	0.332612i
$895$	55.7934	−	69.9628i	1.86497	−	2.33860i
$896$	17.2685	+	24.4499i	0.576900	+	0.816815i
$897$	0.373811	+	0.468744i	0.0124812	+	0.0156509i
$898$	−34.2924	+	12.8521i	−1.14435	+	0.428880i
$899$	−6.19131	+	27.1259i	−0.206492	+	0.904699i
$900$	−21.8013	−	3.97715i	−0.726710	−	0.132572i
$901$		−	21.0613i		−	0.701652i
$902$	−0.839790	+	2.58056i	−0.0279620	+	0.0859231i
$903$	8.50285	−	25.2919i	0.282957	−	0.841662i
$904$	−0.752858	+	16.2612i	−0.0250397	+	0.540840i
$905$	11.3054	+	49.5321i	0.375804	+	1.64650i
$906$	5.50420	−	3.62964i	0.182865	−	0.120587i
$907$	20.5313	−	16.3731i	0.681730	−	0.543661i	−0.220248	−	0.975444i	$-0.570687\pi$
$907$	20.5313	−	16.3731i	0.681730	−	0.543661i	0.901978	+	0.431783i	$0.142115\pi$
$908$	−1.73633	−	39.4754i	−0.0576220	−	1.31004i
$909$	−12.6400	+	2.88499i	−0.419242	+	0.0956891i
$910$	2.77732	−	3.73851i	0.0920673	−	0.123930i
$911$	1.78037	+	0.406357i	0.0589862	+	0.0134632i	0.251912	−	0.967750i	$-0.418941\pi$
$911$	1.78037	+	0.406357i	0.0589862	+	0.0134632i	−0.192926	+	0.981213i	$0.561798\pi$
$912$	−5.34210	−	2.01618i	−0.176895	−	0.0667625i
$913$		−	1.75007i		−	0.0579187i
$914$	−7.54318	+	23.1791i	−0.249506	+	0.766697i
$915$	22.0387	−	10.6133i	0.728576	−	0.350864i
$916$	11.1183	−	5.96981i	0.367361	−	0.197248i
$917$	17.7608	−	2.22237i	0.586513	−	0.0733890i
$918$	1.65974	+	1.58834i	0.0547797	+	0.0524232i
$919$	−34.8568	−	7.95585i	−1.14982	−	0.262439i	−0.395197	−	0.918596i	$-0.629324\pi$
$919$	−34.8568	−	7.95585i	−1.14982	−	0.262439i	−0.754624	+	0.656157i	$0.772181\pi$
$920$	−17.7418	+	12.8527i	−0.584929	+	0.423740i
$921$	3.90163	−	1.87893i	0.128563	−	0.0619127i
$922$	39.5210	−	26.0614i	1.30156	−	0.858287i
$923$	−0.282077	−	0.135841i	−0.00928467	−	0.00447126i
$924$	−12.8136	+	2.17893i	−0.421535	+	0.0716815i
$925$	−75.0604	+	36.1472i	−2.46797	+	1.18851i
$926$	−13.0250	+	21.7774i	−0.428029	+	0.715650i
$927$	−2.93049	−	12.8393i	−0.0962498	−	0.421698i
$928$	11.2835	+	14.2162i	0.370398	+	0.466670i
$929$	−37.6649	−	30.0367i	−1.23574	−	0.985474i	−0.999906	−	0.0136813i	$-0.995645\pi$
$929$	−37.6649	−	30.0367i	−1.23574	−	0.985474i	−0.235838	−	0.971792i	$-0.575784\pi$
$930$	−4.43097	+	48.9789i	−0.145297	+	1.60608i
$931$	−7.96297	−	6.03637i	−0.260976	−	0.197834i
$932$	12.5738	+	2.29380i	0.411868	+	0.0751359i
$933$	13.6006	−	17.0546i	0.445263	−	0.558342i
$934$	4.16909	+	2.49353i	0.136417	+	0.0815906i
$935$	15.5993	−	3.56045i	0.510153	−	0.116439i
$936$	0.578539	−	0.660343i	0.0189101	−	0.0215840i
$937$	8.12070	+	16.8628i	0.265292	+	0.550884i	0.990478	−	0.137668i	$-0.0439608\pi$
$937$	8.12070	+	16.8628i	0.265292	+	0.550884i	−0.725187	+	0.688552i	$0.758247\pi$
$938$	10.5684	+	20.1493i	0.345070	+	0.657898i
$939$	−14.4283	+	29.9607i	−0.470850	+	0.977731i
$940$	93.5106	−	50.2089i	3.04998	−	1.63763i
$941$	−5.11264	−	10.6165i	−0.166667	−	0.346088i	0.800861	−	0.598850i	$-0.204375\pi$
$941$	−5.11264	−	10.6165i	−0.166667	−	0.346088i	−0.967529	+	0.252762i	$0.918661\pi$
$942$	19.4309	+	18.5950i	0.633092	+	0.605858i
$943$	−0.335780	+	1.47115i	−0.0109345	+	0.0479072i
$944$	28.4634	−	16.9349i	0.926405	−	0.551183i
$945$	−9.05206	−	5.53391i	−0.294463	−	0.180018i
$946$	−19.2862	−	29.2467i	−0.627049	−	0.950892i
$947$	−10.0151	−	20.7966i	−0.325447	−	0.675798i	0.672483	−	0.740113i	$-0.265228\pi$
$947$	−10.0151	−	20.7966i	−0.325447	−	0.675798i	−0.997930	+	0.0643151i	$0.979514\pi$
$948$	−0.438801	−	0.188032i	−0.0142516	−	0.00610699i
$949$	2.24082			0.0727402
$950$	−22.2780	−	2.01542i	−0.722793	−	0.0653889i
$951$	−3.73011	+	16.3427i	−0.120957	+	0.529948i
$952$	−3.62275	−	11.6038i	−0.117414	−	0.376081i
$953$	−5.56992	−	24.4034i	−0.180427	−	0.790504i	−0.981426	−	0.191839i	$-0.938555\pi$
$953$	−5.56992	−	24.4034i	−0.180427	−	0.790504i	0.800999	−	0.598666i	$-0.204302\pi$
$954$	2.45287	+	18.1709i	0.0794146	+	0.588304i
$955$	−23.4445	−	29.3985i	−0.758648	−	0.951314i
$956$	36.9796	−	19.8555i	1.19600	−	0.642174i
$957$	−7.68337	+	1.75368i	−0.248368	+	0.0566884i
$958$	2.26733	+	16.7964i	0.0732540	+	0.542666i
$959$	31.0100	−	3.88021i	1.00136	−	0.125298i
$960$	23.1261	+	22.2337i	0.746392	+	0.717591i
$961$	44.2015			1.42585
$962$	0.297365	−	3.28700i	0.00958743	−	0.105977i
$963$	−17.3166	−	3.95239i	−0.558019	−	0.127364i
$964$	−13.2396	−	48.1459i	−0.426419	−	1.55067i
$965$	−6.38200	+	5.08948i	−0.205444	+	0.163836i
$966$	−6.98680	+	1.84861i	−0.224797	+	0.0594781i
$967$	19.1757	+	15.2921i	0.616650	+	0.491762i	0.881284	−	0.472587i	$-0.156680\pi$
$967$	19.1757	+	15.2921i	0.616650	+	0.491762i	−0.264634	+	0.964349i	$0.585251\pi$
$968$	6.67388	−	12.3611i	0.214507	−	0.397301i
$969$	1.81294	+	1.44578i	0.0582402	+	0.0464450i
$970$	−60.6492	+	22.7301i	−1.94733	+	0.729819i
$971$	−1.86954	−	2.34433i	−0.0599964	−	0.0752331i	0.750928	−	0.660384i	$-0.229607\pi$
$971$	−1.86954	−	2.34433i	−0.0599964	−	0.0752331i	−0.810924	+	0.585151i	$0.801035\pi$
$972$	−1.61695	−	1.17706i	−0.0518636	−	0.0377543i
$973$	28.0947	+	27.4129i	0.900674	+	0.878819i
$974$	11.5745	+	30.8835i	0.370871	+	0.989571i
$975$	1.49228	−	3.09875i	0.0477911	−	0.0992393i
$976$	−24.1728	−	3.31990i	−0.773753	−	0.106267i
$977$	−21.5930	−	10.3986i	−0.690821	−	0.332682i	0.0553213	−	0.998469i	$-0.482382\pi$
$977$	−21.5930	−	10.3986i	−0.690821	−	0.332682i	−0.746142	+	0.665787i	$0.768096\pi$
$978$	−20.2198	−	19.3500i	−0.646559	−	0.618745i
$979$	−19.2991			−0.616803
$980$	27.7645	+	48.7947i	0.886903	+	1.55869i
$981$	10.0931			0.322248
$982$	−1.75088	−	1.67556i	−0.0558727	−	0.0534692i
$983$	16.9449	+	8.16023i	0.540458	+	0.260271i	0.684137	−	0.729353i	$-0.260179\pi$
$983$	16.9449	+	8.16023i	0.540458	+	0.260271i	−0.143679	+	0.989624i	$0.545893\pi$
$984$	2.20727	+	0.102192i	0.0703653	+	0.00325776i
$985$	17.6426	−	36.6352i	0.562139	−	1.16729i
$986$	−2.58674	−	6.90202i	−0.0823784	−	0.219805i
$987$	34.7427	−	4.34728i	1.10587	−	0.138375i
$988$	0.521535	−	0.716440i	0.0165922	−	0.0227930i
$989$	−12.1457	−	15.2302i	−0.386210	−	0.484292i
$990$	−13.0439	+	4.88858i	−0.414561	+	0.155369i
$991$	27.3402	+	21.8031i	0.868490	+	0.692598i	0.952720	−	0.303848i	$-0.0982716\pi$
$991$	27.3402	+	21.8031i	0.868490	+	0.692598i	−0.0842301	+	0.996446i	$0.526843\pi$
$992$	30.6741	−	38.2825i	0.973903	−	1.21547i
$993$	−7.57044	−	6.03723i	−0.240241	−	0.191586i
$994$	2.86834	−	2.45276i	0.0909781	−	0.0777970i
$995$	47.4718	−	37.8575i	1.50496	−	1.20016i
$996$	−1.37396	+	0.377824i	−0.0435356	+	0.0119718i
$997$	−23.4842	−	5.36012i	−0.743753	−	0.169757i	−0.166180	−	0.986095i	$-0.553143\pi$
$997$	−23.4842	−	5.36012i	−0.743753	−	0.169757i	−0.577574	+	0.816339i	$0.696000\pi$
$998$	1.38882	−	15.3517i	0.0439624	−	0.485950i
$999$	−7.51865			−0.237879

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	588.2.x.a.55.8	✓	168
4.3	odd	2		588.2.x.b.55.9	yes	168
49.41	odd	14		588.2.x.b.139.9	yes	168
196.139	even	14	inner	588.2.x.a.139.8	yes	168

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
588.2.x.a.55.8	✓	168	1.1	even	1	trivial
588.2.x.a.139.8	yes	168	196.139	even	14	inner
588.2.x.b.55.9	yes	168	4.3	odd	2
588.2.x.b.139.9	yes	168	49.41	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)

\(f(q)\)	\(=\)	\(q+(-0.977782 + 1.02174i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(-0.0878851 - 1.99807i) q^{4} +(-1.73990 + 3.61294i) q^{5} +(1.32427 - 0.496308i) q^{6} +(-2.50782 - 0.843102i) q^{7} +(2.12743 + 1.86388i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})\)	\(q+(-0.977782 + 1.02174i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(-0.0878851 - 1.99807i) q^{4} +(-1.73990 + 3.61294i) q^{5} +(1.32427 - 0.496308i) q^{6} +(-2.50782 - 0.843102i) q^{7} +(2.12743 + 1.86388i) q^{8} +(0.623490 + 0.781831i) q^{9} +(-1.99022 - 5.31038i) q^{10} +(-1.92041 - 1.53148i) q^{11} +(-0.787748 + 1.83833i) q^{12} +(-0.242677 - 0.193528i) q^{13} +(3.31353 - 1.73796i) q^{14} +(3.13519 - 2.50023i) q^{15} +(-3.98455 + 0.351201i) q^{16} +(1.58371 + 0.361471i) q^{17} +(-1.40846 - 0.127419i) q^{18} -1.42748 q^{19} +(7.37180 + 3.15891i) q^{20} +(1.89366 + 1.84771i) q^{21} +(3.44250 - 0.464701i) q^{22} +(1.88313 - 0.429812i) q^{23} +(-1.10804 - 2.60235i) q^{24} +(-6.90861 - 8.66313i) q^{25} +(0.435019 - 0.0587229i) q^{26} +(-0.222521 - 0.974928i) q^{27} +(-1.46418 + 5.08490i) q^{28} +(-0.713952 + 3.12803i) q^{29} +(-0.510959 + 5.64801i) q^{30} +8.67188 q^{31} +(3.53719 - 4.41455i) q^{32} +(1.06575 + 2.21305i) q^{33} +(-1.91785 + 1.26469i) q^{34} +(7.40943 - 7.59369i) q^{35} +(1.50736 - 1.31449i) q^{36} +(1.67306 - 7.33014i) q^{37} +(1.39576 - 1.45850i) q^{38} +(0.134675 + 0.279656i) q^{39} +(-10.4356 + 4.44330i) q^{40} +(-0.338961 + 0.703860i) q^{41} +(-3.73946 + 0.128162i) q^{42} +(-4.37580 - 9.08645i) q^{43} +(-2.89122 + 3.97170i) q^{44} +(-3.90952 + 0.892322i) q^{45} +(-1.40214 + 2.34432i) q^{46} +(8.25121 - 10.3467i) q^{47} +(3.74234 + 1.41241i) q^{48} +(5.57836 + 4.22870i) q^{49} +(15.6065 + 1.41188i) q^{50} +(-1.27003 - 1.01282i) q^{51} +(-0.365355 + 0.501893i) q^{52} +(-2.88505 - 12.6402i) q^{53} +(1.21369 + 0.725909i) q^{54} +(8.87444 - 4.27371i) q^{55} +(-3.76377 - 6.46792i) q^{56} +(1.28611 + 0.619359i) q^{57} +(-2.49793 - 3.78800i) q^{58} +(-7.46010 + 3.59259i) q^{59} +(-5.27117 - 6.04459i) q^{60} +(5.94700 + 1.35736i) q^{61} +(-8.47920 + 8.86036i) q^{62} +(-0.904439 - 2.48636i) q^{63} +(1.05191 + 7.93054i) q^{64} +(1.12144 - 0.540056i) q^{65} +(-3.30322 - 1.07497i) q^{66} +6.08092i q^{67} +(0.583059 - 3.19612i) q^{68} +(-1.88313 - 0.429812i) q^{69} +(0.513935 + 14.9955i) q^{70} +(0.983366 - 0.224447i) q^{71} +(-0.130810 + 2.82540i) q^{72} +(-5.64424 + 4.50113i) q^{73} +(5.85358 + 8.87670i) q^{74} +(2.46566 + 10.8027i) q^{75} +(0.125454 + 2.85220i) q^{76} +(3.52486 + 5.45977i) q^{77} +(-0.417418 - 0.135840i) q^{78} +0.238695i q^{79} +(5.66385 - 15.0070i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(-0.387728 - 1.03455i) q^{82} +(0.444225 + 0.557040i) q^{83} +(3.52543 - 3.94605i) q^{84} +(-4.06146 + 5.09291i) q^{85} +(13.5625 + 4.41365i) q^{86} +(2.00045 - 2.50849i) q^{87} +(-1.23105 - 6.83752i) q^{88} +(6.14285 - 4.89876i) q^{89} +(2.91094 - 4.86699i) q^{90} +(0.445426 + 0.689935i) q^{91} +(-1.02429 - 3.72485i) q^{92} +(-7.81309 - 3.76259i) q^{93} +(2.50369 + 18.5474i) q^{94} +(2.48366 - 5.15738i) q^{95} +(-5.10230 + 2.44265i) q^{96} -11.4209i q^{97} +(-9.77503 + 1.56485i) q^{98} -2.45630i 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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