LMFDB - Embedded newform 136.2.s.c.107.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [136,2,Mod(3,136)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(136, base_ring=CyclotomicField(16))

chi = DirichletCharacter(H, H._module([8, 8, 1]))

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

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

chi := DirichletCharacter("136.3");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 136 = 2^{3} \cdot 17 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	136.s (of order $16$, degree $8$, 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:	$1.08596546749$
Analytic rank:	$0$
Dimension:	$112$
Relative dimension:	$14$ over $\Q(\zeta_{16})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			107.2
Character	$\chi$	$=$	136.107
Dual form			136.2.s.c.75.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.41070 + 0.0995921i) q^{2} +(1.52493 + 2.28221i) q^{3} +(1.98016 - 0.280990i) q^{4} +(-0.326417 - 0.0649284i) q^{5} +(-2.37851 - 3.06765i) q^{6} +(3.74882 - 0.745687i) q^{7} +(-2.76544 + 0.593601i) q^{8} +(-1.73505 + 4.18878i) q^{9} +O(q^{10})$	\(q+(-1.41070 + 0.0995921i) q^{2} +(1.52493 + 2.28221i) q^{3} +(1.98016 - 0.280990i) q^{4} +(-0.326417 - 0.0649284i) q^{5} +(-2.37851 - 3.06765i) q^{6} +(3.74882 - 0.745687i) q^{7} +(-2.76544 + 0.593601i) q^{8} +(-1.73505 + 4.18878i) q^{9} +(0.466944 + 0.0590861i) q^{10} +(-3.13072 - 2.09188i) q^{11} +(3.66088 + 4.09067i) q^{12} +(-2.87411 + 2.87411i) q^{13} +(-5.21421 + 1.42530i) q^{14} +(-0.349582 - 0.843965i) q^{15} +(3.84209 - 1.11281i) q^{16} +(4.11134 + 0.311272i) q^{17} +(2.03047 - 6.08192i) q^{18} +(0.183139 + 0.442137i) q^{19} +(-0.664604 - 0.0368490i) q^{20} +(7.41850 + 7.41850i) q^{21} +(4.62486 + 2.63923i) q^{22} +(-1.77614 - 1.18678i) q^{23} +(-5.57181 - 5.40612i) q^{24} +(-4.51707 - 1.87103i) q^{25} +(3.76827 - 4.34075i) q^{26} +(-4.12935 + 0.821378i) q^{27} +(7.21375 - 2.52996i) q^{28} +(0.575123 - 2.89134i) q^{29} +(0.577208 + 1.15577i) q^{30} +(-4.13105 - 6.18255i) q^{31} +(-5.30922 + 1.95249i) q^{32} -10.3350i q^{33} +(-5.83088 - 0.0296552i) q^{34} -1.27210 q^{35} +(-2.25868 + 8.78199i) q^{36} +(3.97723 - 2.65750i) q^{37} +(-0.302388 - 0.605485i) q^{38} +(-10.9421 - 2.17653i) q^{39} +(0.941228 - 0.0142062i) q^{40} +(1.10836 + 5.57210i) q^{41} +(-11.2041 - 9.72647i) q^{42} +(0.938212 - 2.26505i) q^{43} +(-6.78714 - 3.26257i) q^{44} +(0.838321 - 1.25464i) q^{45} +(2.62380 + 1.49730i) q^{46} +(9.23171 - 9.23171i) q^{47} +(8.39858 + 7.07152i) q^{48} +(7.03047 - 2.91212i) q^{49} +(6.55857 + 2.18960i) q^{50} +(5.55910 + 9.85762i) q^{51} +(-4.88361 + 6.49880i) q^{52} +(-7.71191 + 3.19438i) q^{53} +(5.74348 - 1.56997i) q^{54} +(0.886100 + 0.886100i) q^{55} +(-9.92449 + 4.28746i) q^{56} +(-0.729778 + 1.09219i) q^{57} +(-0.523373 + 4.13609i) q^{58} +(2.37335 + 0.983072i) q^{59} +(-0.929374 - 1.57296i) q^{60} +(2.45803 + 12.3573i) q^{61} +(6.44342 + 8.31032i) q^{62} +(-3.38087 + 16.9968i) q^{63} +(7.29528 - 3.28313i) q^{64} +(1.12477 - 0.751547i) q^{65} +(1.02928 + 14.5795i) q^{66} -13.0111i q^{67} +(8.22859 - 0.538874i) q^{68} -5.86328i q^{69} +(1.79455 - 0.126691i) q^{70} +(-1.11335 + 0.743917i) q^{71} +(2.31170 - 12.6137i) q^{72} +(0.580003 - 2.91587i) q^{73} +(-5.34602 + 4.14504i) q^{74} +(-2.61810 - 13.1621i) q^{75} +(0.486881 + 0.824044i) q^{76} +(-13.2964 - 5.50756i) q^{77} +(15.6529 + 1.98068i) q^{78} +(-4.26291 + 6.37989i) q^{79} +(-1.32638 + 0.113780i) q^{80} +(1.44635 + 1.44635i) q^{81} +(-2.11850 - 7.75019i) q^{82} +(3.77409 - 1.56328i) q^{83} +(16.7744 + 12.6053i) q^{84} +(-1.32180 - 0.368547i) q^{85} +(-1.09796 + 3.28874i) q^{86} +(7.47567 - 3.09652i) q^{87} +(9.89956 + 3.92657i) q^{88} +(-9.04404 + 9.04404i) q^{89} +(-1.05767 + 1.85341i) q^{90} +(-8.63134 + 12.9177i) q^{91} +(-3.85052 - 1.85094i) q^{92} +(7.81036 - 18.8559i) q^{93} +(-12.1038 + 13.9426i) q^{94} +(-0.0310725 - 0.156212i) q^{95} +(-12.5522 - 9.13938i) q^{96} +(-10.4371 - 2.07606i) q^{97} +(-9.62788 + 4.80831i) q^{98} +(14.1944 - 9.48439i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 112 q - 8 q^{2} - 16 q^{3} - 8 q^{4} - 8 q^{6} - 8 q^{8} - 16 q^{9}+O(q^{10}) $ 112 * q - 8 * q^2 - 16 * q^3 - 8 * q^4 - 8 * q^6 - 8 * q^8 - 16 * q^9	$ 112 q - 8 q^{2} - 16 q^{3} - 8 q^{4} - 8 q^{6} - 8 q^{8} - 16 q^{9} - 8 q^{10} - 16 q^{11} + 24 q^{12} - 8 q^{14} - 16 q^{17} - 16 q^{18} - 16 q^{19} - 8 q^{20} - 8 q^{22} - 56 q^{24} - 16 q^{25} - 40 q^{26} + 32 q^{27} + 40 q^{28} - 72 q^{30} + 32 q^{32} - 72 q^{34} - 32 q^{35} + 56 q^{36} + 48 q^{38} + 56 q^{40} - 16 q^{41} - 56 q^{42} - 96 q^{43} + 24 q^{44} - 24 q^{46} + 16 q^{48} - 16 q^{49} - 16 q^{51} - 16 q^{52} - 24 q^{54} + 32 q^{56} + 32 q^{57} + 48 q^{58} - 16 q^{59} + 96 q^{60} + 48 q^{62} + 40 q^{64} + 64 q^{65} - 16 q^{66} + 80 q^{68} + 64 q^{70} + 96 q^{72} - 96 q^{73} + 40 q^{74} - 16 q^{75} + 48 q^{76} + 96 q^{78} + 8 q^{80} - 96 q^{81} + 32 q^{82} + 128 q^{83} + 64 q^{86} - 72 q^{88} - 16 q^{89} + 152 q^{90} - 16 q^{91} - 120 q^{92} + 88 q^{94} - 160 q^{96} - 16 q^{97} + 128 q^{98} + 48 q^{99}+O(q^{100}) $ 112 * q - 8 * q^2 - 16 * q^3 - 8 * q^4 - 8 * q^6 - 8 * q^8 - 16 * q^9 - 8 * q^10 - 16 * q^11 + 24 * q^12 - 8 * q^14 - 16 * q^17 - 16 * q^18 - 16 * q^19 - 8 * q^20 - 8 * q^22 - 56 * q^24 - 16 * q^25 - 40 * q^26 + 32 * q^27 + 40 * q^28 - 72 * q^30 + 32 * q^32 - 72 * q^34 - 32 * q^35 + 56 * q^36 + 48 * q^38 + 56 * q^40 - 16 * q^41 - 56 * q^42 - 96 * q^43 + 24 * q^44 - 24 * q^46 + 16 * q^48 - 16 * q^49 - 16 * q^51 - 16 * q^52 - 24 * q^54 + 32 * q^56 + 32 * q^57 + 48 * q^58 - 16 * q^59 + 96 * q^60 + 48 * q^62 + 40 * q^64 + 64 * q^65 - 16 * q^66 + 80 * q^68 + 64 * q^70 + 96 * q^72 - 96 * q^73 + 40 * q^74 - 16 * q^75 + 48 * q^76 + 96 * q^78 + 8 * q^80 - 96 * q^81 + 32 * q^82 + 128 * q^83 + 64 * q^86 - 72 * q^88 - 16 * q^89 + 152 * q^90 - 16 * q^91 - 120 * q^92 + 88 * q^94 - 160 * q^96 - 16 * q^97 + 128 * q^98 + 48 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/136\mathbb{Z}\right)^\times$.

$n$	$69$	$103$	$105$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{5}{16}\right)$

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 $

$2$	−1.41070	+	0.0995921i	−0.997517	+	0.0704222i
$2$	−1.41070	+	0.0995921i	−0.997517	+	0.0704222i
$3$	1.52493	+	2.28221i	0.880417	+	1.31764i	0.947456	+	0.319886i	$0.103645\pi$
$3$	1.52493	+	2.28221i	0.880417	+	1.31764i	−0.0670391	+	0.997750i	$0.521355\pi$
$4$	1.98016	−	0.280990i	0.990081	−	0.140495i
$5$	−0.326417	−	0.0649284i	−0.145978	−	0.0290369i	0.121560	−	0.992584i	$-0.461210\pi$
$5$	−0.326417	−	0.0649284i	−0.145978	−	0.0290369i	−0.267538	+	0.963547i	$0.586210\pi$
$6$	−2.37851	−	3.06765i	−0.971022	−	1.25236i
$7$	3.74882	−	0.745687i	1.41692	−	0.281843i	0.573549	−	0.819171i	$-0.305566\pi$
$7$	3.74882	−	0.745687i	1.41692	−	0.281843i	0.843373	+	0.537328i	$0.180566\pi$
$8$	−2.76544	+	0.593601i	−0.977729	+	0.209870i
$9$	−1.73505	+	4.18878i	−0.578350	+	1.39626i
$10$	0.466944	+	0.0590861i	0.147661	+	0.0186847i
$11$	−3.13072	−	2.09188i	−0.943949	−	0.630727i	−0.0145860	−	0.999894i	$-0.504643\pi$
$11$	−3.13072	−	2.09188i	−0.943949	−	0.630727i	−0.929363	+	0.369167i	$0.879643\pi$
$12$	3.66088	+	4.09067i	1.05681	+	1.18087i
$13$	−2.87411	+	2.87411i	−0.797134	+	0.797134i	−0.982643	−	0.185508i	$-0.940607\pi$
$13$	−2.87411	+	2.87411i	−0.797134	+	0.797134i	0.185508	+	0.982643i	$0.440607\pi$
$14$	−5.21421	+	1.42530i	−1.39356	+	0.380926i
$15$	−0.349582	−	0.843965i	−0.0902616	−	0.217911i
$16$	3.84209	−	1.11281i	0.960522	−	0.278202i
$17$	4.11134	+	0.311272i	0.997146	+	0.0754945i
$17$	4.11134	+	0.311272i	0.997146	+	0.0754945i
$18$	2.03047	−	6.08192i	0.478586	−	1.43352i
$19$	0.183139	+	0.442137i	0.0420150	+	0.101433i	0.943494	−	0.331390i	$-0.107518\pi$
$19$	0.183139	+	0.442137i	0.0420150	+	0.101433i	−0.901479	+	0.432823i	$0.857518\pi$
$20$	−0.664604	−	0.0368490i	−0.148610	−	0.00823970i
$21$	7.41850	+	7.41850i	1.61885	+	1.61885i
$22$	4.62486	+	2.63923i	0.986023	+	0.562686i
$23$	−1.77614	−	1.18678i	−0.370351	−	0.247460i	0.356442	−	0.934318i	$-0.383990\pi$
$23$	−1.77614	−	1.18678i	−0.370351	−	0.247460i	−0.726792	+	0.686857i	$0.758990\pi$
$24$	−5.57181	−	5.40612i	−1.13734	−	1.10352i
$25$	−4.51707	−	1.87103i	−0.903413	−	0.374206i
$26$	3.76827	−	4.34075i	0.739019	−	0.851291i
$27$	−4.12935	+	0.821378i	−0.794693	+	0.158074i
$28$	7.21375	−	2.52996i	1.36327	−	0.478118i
$29$	0.575123	−	2.89134i	0.106798	−	0.536908i	−0.889932	−	0.456094i	$-0.849248\pi$
$29$	0.575123	−	2.89134i	0.106798	−	0.536908i	0.996729	−	0.0808138i	$-0.0257519\pi$
$30$	0.577208	+	1.15577i	0.105383	+	0.211013i
$31$	−4.13105	−	6.18255i	−0.741959	−	1.11042i	−0.989917	−	0.141649i	$-0.954760\pi$
$31$	−4.13105	−	6.18255i	−0.741959	−	1.11042i	0.247958	−	0.968771i	$-0.420240\pi$
$32$	−5.30922	+	1.95249i	−0.938546	+	0.345154i
$33$		−	10.3350i		−	1.79908i
$34$	−5.83088	−	0.0296552i	−0.999987	−	0.00508583i
$35$	−1.27210			−0.215024
$36$	−2.25868	+	8.78199i	−0.376446	+	1.46367i
$37$	3.97723	−	2.65750i	0.653852	−	0.436890i	−0.183897	−	0.982946i	$-0.558871\pi$
$37$	3.97723	−	2.65750i	0.653852	−	0.436890i	0.837749	+	0.546056i	$0.183871\pi$
$38$	−0.302388	−	0.605485i	−0.0490539	−	0.0982226i
$39$	−10.9421	−	2.17653i	−1.75214	−	0.348523i
$40$	0.941228	−	0.0142062i	0.148821	−	0.00224620i
$41$	1.10836	+	5.57210i	0.173097	+	0.870216i	0.965537	+	0.260266i	$0.0838103\pi$
$41$	1.10836	+	5.57210i	0.173097	+	0.870216i	−0.792440	+	0.609949i	$0.791190\pi$
$42$	−11.2041	−	9.72647i	−1.72883	−	1.50083i
$43$	0.938212	−	2.26505i	0.143076	−	0.345416i	−0.836055	−	0.548645i	$-0.815144\pi$
$43$	0.938212	−	2.26505i	0.143076	−	0.345416i	0.979131	+	0.203229i	$0.0651437\pi$
$44$	−6.78714	−	3.26257i	−1.02320	−	0.491851i
$45$	0.838321	−	1.25464i	0.124969	−	0.187030i
$46$	2.62380	+	1.49730i	0.386858	+	0.220765i
$47$	9.23171	−	9.23171i	1.34658	−	1.34658i	0.457240	−	0.889343i	$-0.348838\pi$
$47$	9.23171	−	9.23171i	1.34658	−	1.34658i	0.889343	−	0.457240i	$-0.151162\pi$
$48$	8.39858	+	7.07152i	1.21223	+	1.02069i
$49$	7.03047	−	2.91212i	1.00435	−	0.416017i
$50$	6.55857	+	2.18960i	0.927523	+	0.309657i
$51$	5.55910	+	9.85762i	0.778430	+	1.38034i
$52$	−4.88361	+	6.49880i	−0.677235	+	0.901221i
$53$	−7.71191	+	3.19438i	−1.05931	+	0.438781i	−0.843207	−	0.537589i	$-0.819335\pi$
$53$	−7.71191	+	3.19438i	−1.05931	+	0.438781i	−0.216105	+	0.976370i	$0.569335\pi$
$54$	5.74348	−	1.56997i	0.781588	−	0.213646i
$55$	0.886100	+	0.886100i	0.119482	+	0.119482i
$56$	−9.92449	+	4.28746i	−1.32622	+	0.572935i
$57$	−0.729778	+	1.09219i	−0.0966614	+	0.144664i
$58$	−0.523373	+	4.13609i	−0.0687222	+	0.543096i
$59$	2.37335	+	0.983072i	0.308983	+	0.127985i	0.531787	−	0.846878i	$-0.321521\pi$
$59$	2.37335	+	0.983072i	0.308983	+	0.127985i	−0.222803	+	0.974863i	$0.571521\pi$
$60$	−0.929374	−	1.57296i	−0.119982	−	0.203068i
$61$	2.45803	+	12.3573i	0.314718	+	1.58220i	0.737104	+	0.675779i	$0.236193\pi$
$61$	2.45803	+	12.3573i	0.314718	+	1.58220i	−0.422386	+	0.906416i	$0.638807\pi$
$62$	6.44342	+	8.31032i	0.818315	+	1.05541i
$63$	−3.38087	+	16.9968i	−0.425950	+	2.14140i
$64$	7.29528	−	3.28313i	0.911909	−	0.410391i
$65$	1.12477	−	0.751547i	0.139511	−	0.0932180i
$66$	1.02928	+	14.5795i	0.126696	+	1.79462i
$67$		−	13.0111i		−	1.58956i	−0.606899	−	0.794779i	$-0.707587\pi$
$67$		−	13.0111i		−	1.58956i	0.606899	−	0.794779i	$-0.292413\pi$
$68$	8.22859	−	0.538874i	0.997863	−	0.0653481i
$69$		−	5.86328i		−	0.705856i
$70$	1.79455	−	0.126691i	0.214490	−	0.0151424i
$71$	−1.11335	+	0.743917i	−0.132130	+	0.0882867i	−0.619879	−	0.784697i	$-0.712818\pi$
$71$	−1.11335	+	0.743917i	−0.132130	+	0.0882867i	0.487749	+	0.872984i	$0.337818\pi$
$72$	2.31170	−	12.6137i	0.272437	−	1.48654i
$73$	0.580003	−	2.91587i	0.0678842	−	0.341277i	−0.931885	−	0.362754i	$-0.881837\pi$
$73$	0.580003	−	2.91587i	0.0678842	−	0.341277i	0.999769	+	0.0214764i	$0.00683668\pi$
$74$	−5.34602	+	4.14504i	−0.621462	+	0.481851i
$75$	−2.61810	−	13.1621i	−0.302312	−	1.51983i
$76$	0.486881	+	0.824044i	0.0558491	+	0.0945243i
$77$	−13.2964	−	5.50756i	−1.51527	−	0.627645i
$78$	15.6529	+	1.98068i	1.77234	+	0.224268i
$79$	−4.26291	+	6.37989i	−0.479614	+	0.717794i	−0.989830	−	0.142253i	$-0.954565\pi$
$79$	−4.26291	+	6.37989i	−0.479614	+	0.717794i	0.510216	+	0.860046i	$0.329565\pi$
$80$	−1.32638	+	0.113780i	−0.148293	+	0.0127209i
$81$	1.44635	+	1.44635i	0.160705	+	0.160705i
$82$	−2.11850	−	7.75019i	−0.233949	−	0.855865i
$83$	3.77409	−	1.56328i	0.414260	−	0.171592i	−0.165812	−	0.986157i	$-0.553024\pi$
$83$	3.77409	−	1.56328i	0.414260	−	0.171592i	0.580072	+	0.814565i	$0.303024\pi$
$84$	16.7744	+	12.6053i	1.83023	+	1.37535i
$85$	−1.32180	−	0.368547i	−0.143370	−	0.0399746i
$86$	−1.09796	+	3.28874i	−0.118396	+	0.354634i
$87$	7.47567	−	3.09652i	0.801476	−	0.331982i
$88$	9.89956	+	3.92657i	1.05530	+	0.418574i
$89$	−9.04404	+	9.04404i	−0.958667	+	0.958667i	−0.999179	−	0.0405122i	$-0.987101\pi$
$89$	−9.04404	+	9.04404i	−0.958667	+	0.958667i	0.0405122	+	0.999179i	$0.487101\pi$
$90$	−1.05767	+	1.85341i	−0.111488	+	0.195366i
$91$	−8.63134	+	12.9177i	−0.904810	+	1.35414i
$92$	−3.85052	−	1.85094i	−0.401444	−	0.192974i
$93$	7.81036	−	18.8559i	0.809897	−	1.95526i
$94$	−12.1038	+	13.9426i	−1.24841	+	1.43807i
$95$	−0.0310725	−	0.156212i	−0.00318797	−	0.0160270i
$96$	−12.5522	−	9.13938i	−1.28110	−	0.932784i
$97$	−10.4371	−	2.07606i	−1.05972	−	0.210792i	−0.365692	−	0.930736i	$-0.619167\pi$
$97$	−10.4371	−	2.07606i	−1.05972	−	0.210792i	−0.694032	+	0.719944i	$0.744167\pi$
$98$	−9.62788	+	4.80831i	−0.972563	+	0.485713i
$99$	14.1944	−	9.48439i	1.42659	−	0.953217i
$100$	−9.47026	−	2.43570i	−0.947026	−	0.243570i
$101$	−10.0464			−0.999650			−0.499825	−	0.866126i	$-0.666602\pi$
$101$	−10.0464			−0.999650			−0.499825	+	0.866126i	$0.666602\pi$
$102$	−8.82398	−	13.3525i	−0.873704	−	1.32210i
$103$			11.7462i			1.15739i	0.815545	+	0.578694i	$0.196437\pi$
$103$			11.7462i			1.15739i	−0.815545	+	0.578694i	$0.803563\pi$
$104$	6.24209	−	9.65424i	0.612087	−	0.946676i
$105$	−1.93985	−	2.90320i	−0.189310	−	0.283323i
$106$	10.5611	−	5.27436i	1.02578	−	0.512291i
$107$	−1.53470	+	7.71544i	−0.148365	+	0.745880i	0.832932	+	0.553376i	$0.186661\pi$
$107$	−1.53470	+	7.71544i	−0.148365	+	0.745880i	−0.981296	+	0.192504i	$0.938339\pi$
$108$	−7.94598	+	2.78677i	−0.764602	+	0.268157i
$109$	−8.18274	+	1.62765i	−0.783765	+	0.155900i	−0.570723	−	0.821143i	$-0.693337\pi$
$109$	−8.18274	+	1.62765i	−0.783765	+	0.155900i	−0.213042	+	0.977043i	$0.568337\pi$
$110$	−1.33827	−	1.16177i	−0.127599	−	0.110771i
$111$	12.1300	+	5.02439i	1.15132	+	0.476894i
$112$	13.5735	−	7.03673i	1.28258	−	0.664908i
$113$	2.09537	+	1.40008i	0.197116	+	0.131708i	0.650211	−	0.759754i	$-0.274680\pi$
$113$	2.09537	+	1.40008i	0.197116	+	0.131708i	−0.453096	+	0.891462i	$0.649680\pi$
$114$	0.920726	−	1.61343i	0.0862339	−	0.151112i
$115$	0.502707	+	0.502707i	0.0468777	+	0.0468777i
$116$	0.326401	−	5.88692i	0.0303056	−	0.546587i
$117$	−7.05229	−	17.0257i	−0.651984	−	1.57403i
$118$	−3.44599	−	1.15046i	−0.317229	−	0.105908i
$119$	15.6448	−	1.89887i	1.43416	−	0.174069i
$120$	1.46772	+	2.12642i	0.133984	+	0.194115i
$121$	1.21594	+	2.93555i	0.110540	+	0.266868i
$122$	−4.69824	−	17.1877i	−0.425359	−	1.55610i
$123$	−11.0266	+	11.0266i	−0.994231	+	0.994231i
$124$	−9.91739	−	11.0817i	−0.890608	−	0.995164i
$125$	2.73658	+	1.82852i	0.244767	+	0.163548i
$126$	3.07666	−	24.3141i	0.274091	−	2.16607i
$127$	−3.51222	+	8.47924i	−0.311659	+	0.752411i	0.687985	+	0.725725i	$0.258496\pi$
$127$	−3.51222	+	8.47924i	−0.311659	+	0.752411i	−0.999644	+	0.0266862i	$0.991504\pi$
$128$	−9.96449	+	5.35807i	−0.880745	+	0.473591i
$129$	6.60002	−	1.31283i	0.581100	−	0.115588i
$130$	−1.51187	+	1.17223i	−0.132600	+	0.102811i
$131$	5.27821	+	1.04990i	0.461160	+	0.0917303i	0.420202	−	0.907431i	$-0.361959\pi$
$131$	5.27821	+	1.04990i	0.461160	+	0.0917303i	0.0409575	+	0.999161i	$0.486959\pi$
$132$	−2.90401	−	20.4649i	−0.252762	−	1.78124i
$133$	1.01625	+	1.52093i	0.0881203	+	0.131881i
$134$	1.29580	+	18.3548i	0.111940	+	1.58561i
$135$	1.40122			0.120598
$136$	−11.5544	+	1.57969i	−0.990783	+	0.135458i
$137$	2.51759			0.215092			0.107546	−	0.994200i	$-0.465701\pi$
$137$	2.51759			0.215092			0.107546	+	0.994200i	$0.465701\pi$
$138$	0.583936	+	8.27134i	0.0497079	+	0.704104i
$139$	−5.57321	−	8.34090i	−0.472713	−	0.707466i	0.516116	−	0.856519i	$-0.327377\pi$
$139$	−5.57321	−	8.34090i	−0.472713	−	0.707466i	−0.988829	+	0.149053i	$0.952377\pi$
$140$	−2.51896	+	0.357446i	−0.212891	+	0.0302097i
$141$	35.1464	+	6.99106i	2.95986	+	0.588753i
$142$	1.49652	−	1.16033i	0.125585	−	0.0973724i
$143$	15.0103	−	2.98574i	1.25523	−	0.249680i
$144$	−2.00490	+	18.0244i	−0.167075	+	1.50204i
$145$	−0.375460	+	0.906440i	−0.0311802	+	0.0752758i
$146$	−0.527814	+	4.17119i	−0.0436822	+	0.345210i
$147$	17.3670	+	11.6043i	1.43241	+	0.957105i
$148$	7.12883	−	6.37984i	0.585986	−	0.524419i
$149$	5.20232	−	5.20232i	0.426191	−	0.426191i	−0.461138	−	0.887329i	$-0.652559\pi$
$149$	5.20232	−	5.20232i	0.426191	−	0.426191i	0.887329	+	0.461138i	$0.152559\pi$
$150$	5.00420	+	18.3071i	0.408592	+	1.49476i
$151$	−5.65251	−	13.6464i	−0.459995	−	1.11053i	−0.968399	−	0.249407i	$-0.919764\pi$
$151$	−5.65251	−	13.6464i	−0.459995	−	1.11053i	0.508404	−	0.861119i	$-0.330236\pi$
$152$	−0.768913	−	1.11399i	−0.0623671	−	0.0903566i
$153$	−8.43722	+	16.6814i	−0.682109	+	1.34861i
$154$	19.3058	+	6.44531i	1.55571	+	0.519378i
$155$	0.947023	+	2.28632i	0.0760667	+	0.183641i
$156$	−22.2788	−	1.23525i	−1.78373	−	0.0988992i
$157$	1.48582	+	1.48582i	0.118581	+	0.118581i	0.763907	−	0.645326i	$-0.223278\pi$
$157$	1.48582	+	1.48582i	0.118581	+	0.118581i	−0.645326	+	0.763907i	$0.723278\pi$
$158$	5.37830	−	9.42468i	0.427875	−	0.749787i
$159$	−19.0503	−	12.7290i	−1.51079	−	1.00948i
$160$	1.85979	−	0.292606i	0.147029	−	0.0231325i
$161$	−7.54340	−	3.12458i	−0.594503	−	0.246251i
$162$	−2.18441	−	1.89632i	−0.171623	−	0.148989i
$163$	−8.68521	+	1.72760i	−0.680278	+	0.135316i	−0.523122	−	0.852258i	$-0.675233\pi$
$163$	−8.68521	+	1.72760i	−0.680278	+	0.135316i	−0.157156	+	0.987574i	$0.550233\pi$
$164$	3.76043	+	10.7222i	0.293640	+	0.837265i
$165$	−0.671032	+	3.37351i	−0.0522398	+	0.262627i
$166$	−5.16843	+	2.58119i	−0.401148	+	0.200339i
$167$	10.3052	+	15.4228i	0.797439	+	1.19345i	0.977736	+	0.209840i	$0.0672942\pi$
$167$	10.3052	+	15.4228i	0.797439	+	1.19345i	−0.180297	+	0.983612i	$0.557706\pi$
$168$	−24.9190	−	16.1118i	−1.92254	−	1.24305i
$169$		−	3.52100i		−	0.270846i
$170$	1.90137	+	0.388270i	0.145829	+	0.0297789i
$171$	−2.16977			−0.165927
$172$	1.22136	−	4.74879i	0.0931278	−	0.362092i
$173$	7.97261	−	5.32713i	0.606147	−	0.405014i	−0.214275	−	0.976773i	$-0.568739\pi$
$173$	7.97261	−	5.32713i	0.606147	−	0.405014i	0.820421	+	0.571759i	$0.193739\pi$
$174$	−10.2376	+	5.11279i	−0.776107	+	0.387600i
$175$	−18.3289	−	3.64584i	−1.38553	−	0.275600i
$176$	−14.3564	−	4.55330i	−1.08215	−	0.343218i
$177$	1.37560	+	6.91560i	0.103396	+	0.519808i
$178$	11.8577	−	13.6592i	0.888775	−	1.02380i
$179$	−0.385295	+	0.930185i	−0.0287983	+	0.0695253i	−0.937624	−	0.347650i	$-0.886980\pi$
$179$	−0.385295	+	0.930185i	−0.0287983	+	0.0695253i	0.908826	+	0.417175i	$0.136980\pi$
$180$	1.30747	−	2.71994i	0.0974532	−	0.202733i
$181$	3.36791	−	5.04043i	0.250334	−	0.374652i	−0.684926	−	0.728613i	$-0.740165\pi$
$181$	3.36791	−	5.04043i	0.250334	−	0.374652i	0.935260	+	0.353961i	$0.115165\pi$
$182$	10.8897	−	19.0827i	0.807202	−	1.41450i
$183$	−24.4538	+	24.4538i	−1.80768	+	1.80768i
$184$	5.61627	+	2.22764i	0.414037	+	0.164224i
$185$	−1.47078	+	0.609218i	−0.108134	+	0.0447906i
$186$	−9.14020	+	27.3779i	−0.670192	+	2.00744i
$187$	−12.2203	−	9.57495i	−0.893639	−	0.700190i
$188$	15.6863	−	20.8743i	1.14404	−	1.52241i
$189$	−14.8677	+	6.15840i	−1.08147	+	0.447958i
$190$	0.0593916	+	0.217274i	0.00430872	+	0.0157627i
$191$	−3.79672	−	3.79672i	−0.274721	−	0.274721i	0.556276	−	0.830997i	$-0.312230\pi$
$191$	−3.79672	−	3.79672i	−0.274721	−	0.274721i	−0.830997	+	0.556276i	$0.812230\pi$
$192$	18.6176	+	11.6428i	1.34361	+	0.840250i
$193$	−5.97383	+	8.94047i	−0.430006	+	0.643549i	−0.981686	−	0.190507i	$-0.938987\pi$
$193$	−5.97383	+	8.94047i	−0.430006	+	0.643549i	0.551680	+	0.834056i	$0.313987\pi$
$194$	14.9304	+	1.88926i	1.07194	+	0.135641i
$195$	3.43038	+	1.42091i	0.245655	+	0.101754i
$196$	13.1032	−	7.74195i	0.935943	−	0.552997i
$197$	3.28973	+	16.5386i	0.234384	+	1.17833i	0.901301	+	0.433194i	$0.142613\pi$
$197$	3.28973	+	16.5386i	0.234384	+	1.17833i	−0.666917	+	0.745132i	$0.732387\pi$
$198$	−19.0795	+	14.7933i	−1.35592	+	1.05131i
$199$	−1.14461	+	5.75433i	−0.0811391	+	0.407914i	0.918775	+	0.394782i	$0.129180\pi$
$199$	−1.14461	+	5.75433i	−0.0811391	+	0.407914i	−0.999914	+	0.0131314i	$0.995820\pi$
$200$	13.6023	+	2.49288i	0.961828	+	0.176273i
$201$	29.6941	−	19.8410i	2.09446	−	1.39947i
$202$	14.1724	−	1.00054i	0.997168	−	0.0703976i
$203$		−	11.2680i		−	0.790857i
$204$	13.7778	+	17.9576i	0.964640	+	1.25729i
$205$		−	1.89079i		−	0.132059i
$206$	−1.16983	−	16.5704i	−0.0815058	−	1.15451i
$207$	8.05284	−	5.38074i	0.559711	−	0.373987i
$208$	−7.84425	+	14.2409i	−0.543901	+	0.987430i
$209$	0.351541	−	1.76732i	0.0243166	−	0.122248i
$210$	3.02569	+	3.90235i	0.208793	+	0.269288i
$211$	4.89952	+	24.6316i	0.337297	+	1.69571i	0.661684	+	0.749783i	$0.269842\pi$
$211$	4.89952	+	24.6316i	0.337297	+	1.69571i	−0.324387	+	0.945925i	$0.605158\pi$
$212$	−14.3732	+	8.49235i	−0.987159	+	0.583257i
$213$	−3.39556	−	1.40649i	−0.232660	−	0.0963708i
$214$	1.39660	−	11.0370i	0.0954699	−	0.754476i
$215$	−0.453315	+	0.678433i	−0.0309158	+	0.0462688i
$216$	10.9319	−	4.72265i	0.743820	−	0.321336i
$217$	−20.0968	−	20.0968i	−1.36426	−	1.36426i
$218$	11.3813	−	3.11106i	0.770840	−	0.210708i
$219$	7.53911	−	3.12280i	0.509446	−	0.211019i
$220$	2.00361	+	1.50564i	0.135083	+	0.101510i
$221$	−12.7111	+	10.9218i	−0.855039	+	0.734680i
$222$	−17.6121	−	5.87987i	−1.18205	−	0.394631i
$223$	20.9755	−	8.68833i	1.40462	−	0.581814i	0.453676	−	0.891167i	$-0.350112\pi$
$223$	20.9755	−	8.68833i	1.40462	−	0.581814i	0.950947	+	0.309353i	$0.100112\pi$
$224$	−18.4474	+	11.2785i	−1.23257	+	0.753579i
$225$	15.6747	−	15.6747i	1.04498	−	1.04498i
$226$	−3.09538	−	1.76641i	−0.205901	−	0.117500i
$227$	13.8262	−	20.6923i	0.917674	−	1.37340i	−0.00997714	−	0.999950i	$-0.503176\pi$
$227$	13.8262	−	20.6923i	0.917674	−	1.37340i	0.927652	−	0.373447i	$-0.121824\pi$
$228$	−1.13819	+	2.36777i	−0.0753782	+	0.156810i
$229$	−2.27094	+	5.48252i	−0.150068	+	0.362295i	−0.980980	−	0.194108i	$-0.937819\pi$
$229$	−2.27094	+	5.48252i	−0.150068	+	0.362295i	0.830913	+	0.556403i	$0.187819\pi$
$230$	−0.759235	−	0.659104i	−0.0500625	−	0.0434600i
$231$	−7.70664	−	38.7439i	−0.507060	−	2.54916i
$232$	0.125836	+	8.33720i	0.00826151	+	0.547364i
$233$	−0.170079	−	0.0338307i	−0.0111422	−	0.00221632i	0.189516	−	0.981878i	$-0.439308\pi$
$233$	−0.170079	−	0.0338307i	−0.0111422	−	0.00221632i	−0.200658	+	0.979661i	$0.564308\pi$
$234$	11.6443	+	23.3159i	0.761212	+	1.52421i
$235$	−3.61279	+	2.41399i	−0.235672	+	0.157471i
$236$	4.97584	+	1.27976i	0.323900	+	0.0833051i
$237$	−21.0609			−1.36805
$238$	−21.8810	+	4.23684i	−1.41834	+	0.274633i
$239$			11.0361i			0.713866i	0.934130	+	0.356933i	$0.116178\pi$
$239$			11.0361i			0.713866i	−0.934130	+	0.356933i	$0.883822\pi$
$240$	−2.28230	−	2.85357i	−0.147322	−	0.184197i
$241$	7.13749	+	10.6820i	0.459766	+	0.688089i	0.986834	−	0.161734i	$-0.0517087\pi$
$241$	7.13749	+	10.6820i	0.459766	+	0.688089i	−0.527068	+	0.849823i	$0.676709\pi$
$242$	−2.00769	−	4.02009i	−0.129059	−	0.258421i
$243$	−3.55943	+	17.8945i	−0.228338	+	1.14793i
$244$	8.33958	+	23.7789i	0.533887	+	1.52229i
$245$	−2.48395	+	0.494088i	−0.158694	+	0.0315661i
$246$	14.4570	−	16.6533i	0.921746	−	1.06178i
$247$	−1.79711	−	0.744388i	−0.114348	−	0.0473643i
$248$	15.0941	+	14.6453i	0.958478	+	0.929975i
$249$	9.32294	+	6.22939i	0.590818	+	0.394772i
$250$	−4.04261	−	2.30696i	−0.255677	−	0.145905i
$251$	−14.3875	−	14.3875i	−0.908129	−	0.908129i	0.0879919	−	0.996121i	$-0.471955\pi$
$251$	−14.3875	−	14.3875i	−0.908129	−	0.908129i	−0.996121	+	0.0879919i	$0.971955\pi$
$252$	−1.91876	+	34.6064i	−0.120870	+	2.18000i
$253$	3.07800	+	7.43095i	0.193512	+	0.467180i
$254$	4.11023	−	12.3115i	0.257899	−	0.772491i
$255$	−1.17455	−	3.57864i	−0.0735530	−	0.224103i
$256$	13.5233	−	8.55103i	0.845207	−	0.534439i
$257$	5.12481	+	12.3724i	0.319677	+	0.771768i	0.999271	+	0.0381799i	$0.0121560\pi$
$257$	5.12481	+	12.3724i	0.319677	+	0.771768i	−0.679594	+	0.733589i	$0.737844\pi$
$258$	−9.17992	+	2.50932i	−0.571517	+	0.156223i
$259$	12.9283	−	12.9283i	0.803323	−	0.803323i
$260$	2.01605	−	1.80423i	0.125030	−	0.111894i
$261$	11.1133	+	7.42567i	0.687896	+	0.459638i
$262$	−7.55055	−	0.955431i	−0.466475	−	0.0590267i
$263$	3.72607	−	8.99554i	0.229760	−	0.554689i	−0.766388	−	0.642378i	$-0.777948\pi$
$263$	3.72607	−	8.99554i	0.229760	−	0.554689i	0.996148	+	0.0876888i	$0.0279481\pi$
$264$	6.13484	+	28.5807i	0.377573	+	1.75902i
$265$	2.72471	−	0.541978i	0.167377	−	0.0332934i
$266$	−1.58510	−	2.04437i	−0.0971889	−	0.125348i
$267$	−34.4319	−	6.84894i	−2.10720	−	0.419148i
$268$	−3.65598	−	25.7641i	−0.223324	−	1.57379i
$269$	−3.40992	−	5.10331i	−0.207907	−	0.311154i	0.712831	−	0.701335i	$-0.247412\pi$
$269$	−3.40992	−	5.10331i	−0.207907	−	0.311154i	−0.920738	+	0.390181i	$0.872412\pi$
$270$	−1.97671	+	0.139550i	−0.120298	+	0.00849277i
$271$	−8.96459			−0.544560			−0.272280	−	0.962218i	$-0.587778\pi$
$271$	−8.96459			−0.544560			−0.272280	+	0.962218i	$0.587778\pi$
$272$	16.1425	−	3.37920i	0.978784	−	0.204894i
$273$	−42.6431			−2.58088
$274$	−3.55156	+	0.250732i	−0.214558	+	0.0151472i
$275$	10.2277	+	15.3069i	0.616754	+	0.923038i
$276$	−1.64752	−	11.6102i	−0.0991691	−	0.698855i
$277$	17.4252	+	3.46609i	1.04698	+	0.208257i	0.688467	−	0.725268i	$-0.258284\pi$
$277$	17.4252	+	3.46609i	1.04698	+	0.208257i	0.358512	+	0.933525i	$0.383284\pi$
$278$	8.69283	+	11.2115i	0.521361	+	0.672420i
$279$	33.0649	−	6.57702i	1.97955	−	0.393756i
$280$	3.51790	−	0.755118i	0.210235	−	0.0451269i
$281$	0.173426	−	0.418688i	0.0103458	−	0.0249769i	−0.918622	−	0.395137i	$-0.870697\pi$
$281$	0.173426	−	0.418688i	0.0103458	−	0.0249769i	0.928968	+	0.370160i	$0.120697\pi$
$282$	−50.2774	−	6.36200i	−2.99397	−	0.378851i
$283$	9.31857	+	6.22647i	0.553931	+	0.370125i	0.800807	−	0.598922i	$-0.204404\pi$
$283$	9.31857	+	6.22647i	0.553931	+	0.370125i	−0.246876	+	0.969047i	$0.579404\pi$
$284$	−1.99558	+	1.78592i	−0.118416	+	0.105975i
$285$	0.309126	−	0.309126i	0.0183111	−	0.0183111i
$286$	−20.8778	+	5.70691i	−1.23453	+	0.337456i
$287$	8.31009	+	20.0623i	0.490529	+	1.18424i
$288$	1.03322	−	25.6268i	0.0608834	−	1.51007i
$289$	16.8062	+	2.55949i	0.988601	+	0.150558i
$290$	0.439388	−	1.31611i	0.0258017	−	0.0772847i
$291$	−11.1777	−	26.9855i	−0.655251	−	1.58192i
$292$	0.329171	−	5.93688i	0.0192633	−	0.347430i
$293$	−21.0702	−	21.0702i	−1.23093	−	1.23093i	−0.963606	−	0.267326i	$-0.913860\pi$
$293$	−21.0702	−	21.0702i	−1.23093	−	1.23093i	−0.267326	−	0.963606i	$-0.586140\pi$
$294$	−25.6554	−	14.6406i	−1.49625	−	0.853855i
$295$	−0.710872	−	0.474989i	−0.0413886	−	0.0276549i
$296$	−9.42127	+	9.71002i	−0.547600	+	0.564384i
$297$	14.6461	+	6.06660i	0.849851	+	0.352020i
$298$	−6.82082	+	7.85704i	−0.395119	+	0.455146i
$299$	8.51575	−	1.69389i	0.492478	−	0.0979600i
$300$	−8.88268	−	25.3274i	−0.512842	−	1.46228i
$301$	1.82818	−	9.19087i	0.105374	−	0.529753i
$302$	9.33309	+	18.6880i	0.537059	+	1.07538i
$303$	−15.3200	−	22.9279i	−0.880109	−	1.31718i
$304$	1.19565	+	1.49493i	0.0685754	+	0.0857402i
$305$		−	4.19325i		−	0.240105i
$306$	10.2411	−	24.3728i	0.585443	−	1.39330i
$307$	5.89758			0.336592			0.168296	−	0.985736i	$-0.446173\pi$
$307$	5.89758			0.336592			0.168296	+	0.985736i	$0.446173\pi$
$308$	−27.8767	−	7.16971i	−1.58842	−	0.408532i
$309$	−26.8073	+	17.9121i	−1.52502	+	1.01898i
$310$	−1.56367	−	3.13099i	−0.0888103	−	0.177829i
$311$	−6.36168	−	1.26542i	−0.360738	−	0.0717552i	0.0113941	−	0.999935i	$-0.496373\pi$
$311$	−6.36168	−	1.26542i	−0.360738	−	0.0717552i	−0.372132	+	0.928180i	$0.621373\pi$
$312$	31.5518	−	0.476219i	1.78627	−	0.0269606i
$313$	−2.69975	−	13.5726i	−0.152599	−	0.767167i	−0.978964	−	0.204032i	$-0.934595\pi$
$313$	−2.69975	−	13.5726i	−0.152599	−	0.767167i	0.826365	−	0.563134i	$-0.190405\pi$
$314$	−2.24403	−	1.94807i	−0.126638	−	0.109936i
$315$	2.20715	−	5.32853i	0.124359	−	0.300229i
$316$	−6.64857	+	13.8311i	−0.374011	+	0.778057i
$317$	11.9360	−	17.8635i	0.670392	−	1.00331i	−0.327890	−	0.944716i	$-0.606338\pi$
$317$	11.9360	−	17.8635i	0.670392	−	1.00331i	0.998282	−	0.0585963i	$-0.0186625\pi$
$318$	28.1421	+	16.0596i	1.57813	+	0.900578i
$319$	−7.84889	+	7.84889i	−0.439453	+	0.439453i
$320$	−2.59447	+	0.598000i	−0.145035	+	0.0334292i
$321$	−19.9486	+	8.26297i	−1.11342	+	0.461194i
$322$	10.9527	+	3.65659i	0.610369	+	0.203774i
$323$	0.615323	+	1.87478i	0.0342375	+	0.104316i
$324$	3.27041	+	2.45759i	0.181689	+	0.136533i
$325$	18.3601	−	7.60499i	1.01843	−	0.421849i
$326$	12.0802	−	3.30210i	0.669060	−	0.182886i
$327$	−16.1927	−	16.1927i	−0.895460	−	0.895460i
$328$	−6.37270	−	14.7514i	−0.351874	−	0.814508i
$329$	27.7241	−	41.4920i	1.52848	−	2.28753i
$330$	0.610652	−	4.82584i	0.0336153	−	0.265654i
$331$	−16.2857	−	6.74575i	−0.895142	−	0.370780i	−0.112792	−	0.993619i	$-0.535979\pi$
$331$	−16.2857	−	6.74575i	−0.895142	−	0.370780i	−0.782350	+	0.622839i	$0.785979\pi$
$332$	7.03404	−	4.15603i	0.386043	−	0.228092i
$333$	4.23099	+	21.2706i	0.231857	+	1.16562i
$334$	−16.0735	−	20.7307i	−0.879505	−	1.13433i
$335$	−0.844790	+	4.24704i	−0.0461558	+	0.232041i
$336$	36.7579	+	20.2472i	2.00531	+	1.10457i
$337$	−28.5162	+	19.0539i	−1.55337	+	1.03793i	−0.578361	+	0.815781i	$0.696308\pi$
$337$	−28.5162	+	19.0539i	−1.55337	+	1.03793i	−0.975012	+	0.222151i	$0.928692\pi$
$338$	0.350664	+	4.96708i	0.0190736	+	0.270174i
$339$			6.91709i			0.375685i
$340$	−2.72094	−	0.358371i	−0.147564	−	0.0194354i
$341$			27.9976i			1.51615i
$342$	3.06090	−	0.216092i	0.165515	−	0.0116849i
$343$	1.93777	−	1.29478i	0.104630	−	0.0699115i
$344$	−1.25003	+	6.82076i	−0.0673973	+	0.367751i
$345$	−0.380694	+	1.91388i	−0.0204959	+	0.103040i
$346$	−10.7164	+	8.30900i	−0.576120	+	0.446695i
$347$	−0.600433	−	3.01858i	−0.0322329	−	0.162046i	0.961316	−	0.275446i	$-0.0888257\pi$
$347$	−0.600433	−	3.01858i	−0.0322329	−	0.162046i	−0.993549	+	0.113401i	$0.963826\pi$
$348$	13.9329	−	8.23220i	0.746884	−	0.441292i
$349$	−13.0435	−	5.40281i	−0.698204	−	0.289206i	0.00520939	−	0.999986i	$-0.498342\pi$
$349$	−13.0435	−	5.40281i	−0.698204	−	0.289206i	−0.703414	+	0.710781i	$0.748342\pi$
$350$	26.2197	+	3.31779i	1.40150	+	0.177343i
$351$	9.50746	−	14.2289i	0.507471	−	0.759484i
$352$	20.7061	+	4.99357i	1.10364	+	0.266158i
$353$	17.6192	+	17.6192i	0.937774	+	0.937774i	0.998174	−	0.0603998i	$-0.0192376\pi$
$353$	17.6192	+	17.6192i	0.937774	+	0.937774i	−0.0603998	+	0.998174i	$0.519238\pi$
$354$	−2.62930	−	9.61885i	−0.139746	−	0.511236i
$355$	0.411718	−	0.170539i	0.0218517	−	0.00905129i
$356$	−15.3674	+	20.4500i	−0.814471	+	1.08385i
$357$	28.1908	+	32.8091i	1.49202	+	1.73644i
$358$	0.450898	−	1.35059i	0.0238307	−	0.0713808i
$359$	−0.287046	+	0.118898i	−0.0151497	+	0.00627521i	−0.390245	−	0.920711i	$-0.627610\pi$
$359$	−0.287046	+	0.118898i	−0.0151497	+	0.00627521i	0.375096	+	0.926986i	$0.377610\pi$
$360$	−1.57357	+	3.96724i	−0.0829344	+	0.209092i
$361$	13.2731	−	13.2731i	0.698583	−	0.698583i
$362$	−4.24913	+	7.44596i	−0.223329	+	0.391351i
$363$	−4.84532	+	7.25154i	−0.254313	+	0.380607i
$364$	−13.4617	+	28.0045i	−0.705586	+	1.46783i
$365$	−0.378646	+	0.914133i	−0.0198192	+	0.0478479i
$366$	32.0616	−	36.9324i	1.67589	−	1.93049i
$367$	0.405754	+	2.03987i	0.0211802	+	0.106480i	0.989929	−	0.141563i	$-0.0452127\pi$
$367$	0.405754	+	2.03987i	0.0211802	+	0.106480i	−0.968749	+	0.248043i	$0.920213\pi$
$368$	−8.14475	−	2.58320i	−0.424574	−	0.134659i
$369$	−25.2633	−	5.02519i	−1.31516	−	0.261601i
$370$	2.01416	−	1.00590i	0.104711	−	0.0522944i
$371$	−26.5286	+	17.7258i	−1.37729	+	0.920279i
$372$	10.1675	−	39.5323i	0.527159	−	2.04966i
$373$	32.2087			1.66770			0.833851	−	0.551990i	$-0.186131\pi$
$373$	32.2087			1.66770			0.833851	+	0.551990i	$0.186131\pi$
$374$	18.1928	+	12.2904i	0.940729	+	0.635519i
$375$			9.03383i			0.466505i
$376$	−20.0498	+	31.0097i	−1.03399	+	1.59920i
$377$	6.65705	+	9.96298i	0.342856	+	0.513120i
$378$	20.3606	−	10.1684i	1.04723	−	0.523005i
$379$	−3.56239	+	17.9093i	−0.182987	+	0.919940i	0.774744	+	0.632275i	$0.217879\pi$
$379$	−3.56239	+	17.9093i	−0.182987	+	0.919940i	−0.957731	+	0.287665i	$0.907121\pi$
$380$	−0.105423	−	0.300594i	−0.00540807	−	0.0154202i
$381$	−24.7073	+	4.91459i	−1.26579	+	0.251782i
$382$	5.73416	+	4.97791i	0.293385	+	0.254692i
$383$	−4.05345	−	1.67899i	−0.207122	−	0.0857926i	0.276711	−	0.960953i	$-0.410756\pi$
$383$	−4.05345	−	1.67899i	−0.207122	−	0.0857926i	−0.483832	+	0.875161i	$0.660756\pi$
$384$	−27.4234	−	14.5704i	−1.39944	−	0.743544i
$385$	3.98259	+	2.66108i	0.202971	+	0.135621i
$386$	7.53690	−	13.2073i	0.383618	−	0.672233i
$387$	7.85993	+	7.85993i	0.399543	+	0.399543i
$388$	−21.2504	−	1.17823i	−1.07883	−	0.0598158i
$389$	−9.42638	−	22.7573i	−0.477937	−	1.15384i	−0.960575	−	0.278021i	$-0.910321\pi$
$389$	−9.42638	−	22.7573i	−0.477937	−	1.15384i	0.482638	−	0.875820i	$-0.339679\pi$
$390$	−4.98076	−	1.66284i	−0.252211	−	0.0842014i
$391$	−6.93290	−	5.43211i	−0.350612	−	0.274714i
$392$	−17.7137	+	12.2266i	−0.894676	+	0.617535i
$393$	5.65279	+	13.6470i	0.285145	+	0.688402i
$394$	−6.28794	−	23.0034i	−0.316782	−	1.15889i
$395$	1.80572	−	1.80572i	0.0908557	−	0.0908557i
$396$	25.4422	−	22.7691i	1.27852	−	1.14419i
$397$	−2.33711	−	1.56161i	−0.117296	−	0.0783749i	0.495538	−	0.868586i	$-0.334971\pi$
$397$	−2.33711	−	1.56161i	−0.117296	−	0.0783749i	−0.612835	+	0.790211i	$0.709971\pi$
$398$	1.04161	−	8.23164i	0.0522114	−	0.412615i
$399$	−1.92138	+	4.63861i	−0.0961891	+	0.232221i
$400$	−19.4371	−	2.16203i	−0.971854	−	0.108101i
$401$	−20.5799	+	4.09361i	−1.02771	+	0.204425i	−0.680028	−	0.733186i	$-0.738032\pi$
$401$	−20.5799	+	4.09361i	−1.02771	+	0.204425i	−0.347686	+	0.937611i	$0.613032\pi$
$402$	−39.9135	+	30.9470i	−1.99071	+	1.54350i
$403$	29.6424	+	5.89624i	1.47659	+	0.293713i
$404$	−19.8934	+	2.82292i	−0.989735	+	0.140446i
$405$	−0.378203	−	0.566021i	−0.0187931	−	0.0281258i
$406$	1.12220	+	15.8958i	0.0556939	+	0.788893i
$407$	−18.0108			−0.892761
$408$	−21.2248	−	23.9607i	−1.05079	−	1.18623i
$409$	6.22253			0.307684			0.153842	−	0.988095i	$-0.450835\pi$
$409$	6.22253			0.307684			0.153842	+	0.988095i	$0.450835\pi$
$410$	0.188308	+	2.66735i	0.00929987	+	0.131731i
$411$	3.83913	+	5.74567i	0.189370	+	0.283413i
$412$	3.30056	+	23.2594i	0.162607	+	1.14591i
$413$	9.63032	+	1.91559i	0.473877	+	0.0942600i
$414$	−10.8243	+	8.39262i	−0.531985	+	0.412475i
$415$	−1.33343	+	0.265235i	−0.0654554	+	0.0130199i
$416$	9.64762	−	20.8709i	0.473013	−	1.02328i
$417$	10.5370	−	25.4385i	0.515998	−	1.24573i
$418$	−0.319909	+	2.52817i	−0.0156473	+	0.123657i
$419$	1.53088	+	1.02290i	0.0747885	+	0.0499721i	0.592402	−	0.805642i	$-0.298180\pi$
$419$	1.53088	+	1.02290i	0.0747885	+	0.0499721i	−0.517614	+	0.855614i	$0.673180\pi$
$420$	−4.65700	−	5.20372i	−0.227238	−	0.253916i
$421$	9.96212	−	9.96212i	0.485524	−	0.485524i	−0.421366	−	0.906891i	$-0.638449\pi$
$421$	9.96212	−	9.96212i	0.485524	−	0.485524i	0.906891	+	0.421366i	$0.138449\pi$
$422$	−9.36488	−	34.2599i	−0.455875	−	1.66774i
$423$	22.6521	+	54.6871i	1.10138	+	2.65898i
$424$	19.4306	−	13.4116i	0.943633	−	0.651327i
$425$	−17.9888	−	9.09847i	−0.872584	−	0.441341i
$426$	4.93019	+	1.64596i	0.238869	+	0.0797471i
$427$	18.4294	+	44.4926i	0.891862	+	2.15315i
$428$	−0.870991	+	15.7091i	−0.0421009	+	0.759326i
$429$	29.7038	+	29.7038i	1.43411	+	1.43411i
$430$	0.571925	−	1.00221i	0.0275807	−	0.0483310i
$431$	7.63305	+	5.10024i	0.367671	+	0.245670i	0.725656	−	0.688057i	$-0.241536\pi$
$431$	7.63305	+	5.10024i	0.367671	+	0.245670i	−0.357985	+	0.933727i	$0.616536\pi$
$432$	−14.9513	+	7.75099i	−0.719344	+	0.372920i
$433$	24.2678	+	10.0520i	1.16623	+	0.483070i	0.879946	−	0.475073i	$-0.157579\pi$
$433$	24.2678	+	10.0520i	1.16623	+	0.483070i	0.286288	+	0.958144i	$0.407579\pi$
$434$	30.3521	+	26.3492i	1.45695	+	1.26480i
$435$	−2.64124	+	0.525375i	−0.126638	+	0.0251898i
$436$	−15.7458	+	5.52227i	−0.754088	+	0.264469i
$437$	0.199438	−	1.00264i	0.00954042	−	0.0479629i
$438$	−10.3244	+	5.15618i	−0.493321	+	0.246372i
$439$	−18.3421	−	27.4510i	−0.875423	−	1.31016i	−0.949776	−	0.312931i	$-0.898689\pi$
$439$	−18.3421	−	27.4510i	−0.875423	−	1.31016i	0.0743533	−	0.997232i	$-0.476311\pi$
$440$	−2.97644	−	1.92446i	−0.141896	−	0.0917452i
$441$			34.5018i			1.64294i
$442$	16.8438	−	16.6733i	0.801178	−	0.793070i
$443$	2.14916			0.102110			0.0510548	−	0.998696i	$-0.483742\pi$
$443$	2.14916			0.102110			0.0510548	+	0.998696i	$0.483742\pi$
$444$	25.4311	+	6.54072i	1.20691	+	0.310409i
$445$	3.53935	−	2.36492i	0.167781	−	0.112108i
$446$	−28.7249	+	14.3456i	−1.36016	+	0.679286i
$447$	19.8060	+	3.93965i	0.936790	+	0.186339i
$448$	24.9005	−	17.7479i	1.17644	−	0.838508i
$449$	4.26124	+	21.4227i	0.201100	+	1.01100i	0.941032	+	0.338317i	$0.109858\pi$
$449$	4.26124	+	21.4227i	0.201100	+	1.01100i	−0.739932	+	0.672682i	$0.765142\pi$
$450$	−20.5512	+	23.6734i	−0.968793	+	1.11597i
$451$	8.18621	−	19.7633i	0.385474	−	0.930616i
$452$	4.54257	+	2.18361i	0.213665	+	0.102708i
$453$	22.5243	−	33.7100i	1.05828	−	1.58383i
$454$	−17.4438	+	30.5677i	−0.818679	+	1.43461i
$455$	3.65614	−	3.65614i	0.171403	−	0.171403i
$456$	1.36983	−	3.45358i	0.0641481	−	0.161729i
$457$	15.6974	−	6.50208i	0.734294	−	0.304155i	0.0159790	−	0.999872i	$-0.494914\pi$
$457$	15.6974	−	6.50208i	0.734294	−	0.304155i	0.718315	+	0.695718i	$0.244914\pi$
$458$	2.65760	−	7.96038i	0.124181	−	0.371964i
$459$	−17.2328	+	2.09161i	−0.804359	+	0.0976282i
$460$	1.13670	+	0.854186i	0.0529988	+	0.0398266i
$461$	−14.7222	+	6.09814i	−0.685681	+	0.284019i	−0.698200	−	0.715903i	$-0.746015\pi$
$461$	−14.7222	+	6.09814i	−0.685681	+	0.284019i	0.0125182	+	0.999922i	$0.496015\pi$
$462$	14.7304	+	53.8886i	0.685319	+	2.50713i
$463$	13.3355	+	13.3355i	0.619753	+	0.619753i	0.945468	−	0.325715i	$-0.105605\pi$
$463$	13.3355	+	13.3355i	0.619753	+	0.619753i	−0.325715	+	0.945468i	$0.605605\pi$
$464$	−1.00784	−	11.7488i	−0.0467876	−	0.545423i
$465$	−3.77372	+	5.64777i	−0.175002	+	0.261909i
$466$	0.243300	+	0.0307866i	0.0112706	+	0.00142616i
$467$	−17.5386	−	7.26472i	−0.811589	−	0.336171i	−0.0620009	−	0.998076i	$-0.519748\pi$
$467$	−17.5386	−	7.26472i	−0.811589	−	0.336171i	−0.749588	+	0.661905i	$0.769748\pi$
$468$	−18.7487	−	31.7321i	−0.866660	−	1.46682i
$469$	−9.70220	−	48.7763i	−0.448006	−	2.25228i
$470$	4.85616	−	3.76523i	0.223998	−	0.173677i
$471$	−1.12519	+	5.65673i	−0.0518462	+	0.260648i
$472$	−7.14689	−	1.30980i	−0.328962	−	0.0602885i
$473$	−7.67550	+	5.12860i	−0.352920	+	0.235813i
$474$	29.7106	−	2.09750i	1.36466	−	0.0963412i
$475$		−	2.33982i		−	0.107358i
$476$	30.4457	−	8.15610i	1.39548	−	0.373834i
$477$		−	37.8459i		−	1.73284i
$478$	−1.09911	−	15.5687i	−0.0502720	−	0.712094i
$479$	4.41352	−	2.94902i	0.201659	−	0.134744i	−0.450641	−	0.892705i	$-0.648804\pi$
$479$	4.41352	−	2.94902i	0.201659	−	0.134744i	0.652300	+	0.757961i	$0.273804\pi$
$480$	3.50384	+	3.79824i	0.159927	+	0.173365i
$481$	−3.79304	+	19.0689i	−0.172948	+	0.869468i
$482$	−11.1327	−	14.3583i	−0.507082	−	0.654003i
$483$	−4.37217	−	21.9804i	−0.198941	−	1.00014i
$484$	3.23262	+	5.47119i	0.146937	+	0.248691i
$485$	3.27204	+	1.35532i	0.148576	+	0.0615421i
$486$	3.23915	−	25.5983i	0.146931	−	1.16116i
$487$	−6.46086	+	9.66936i	−0.292769	+	0.438160i	−0.948473	−	0.316858i	$-0.897372\pi$
$487$	−6.46086	+	9.66936i	−0.292769	+	0.438160i	0.655704	+	0.755018i	$0.272372\pi$
$488$	−14.1329	−	32.7144i	−0.639764	−	1.48091i
$489$	−17.1870	−	17.1870i	−0.777225	−	0.777225i
$490$	3.45490	−	0.944392i	0.156077	−	0.0426633i
$491$	34.5393	−	14.3066i	1.55873	−	0.645649i	0.573866	−	0.818949i	$-0.305443\pi$
$491$	34.5393	−	14.3066i	1.55873	−	0.645649i	0.984869	+	0.173300i	$0.0554431\pi$
$492$	−18.7360	+	24.9327i	−0.844685	+	1.12405i
$493$	3.26452	−	11.7082i	0.147026	−	0.527313i
$494$	2.60933	+	0.871132i	0.117399	+	0.0391941i
$495$	−5.24910	+	2.17425i	−0.235930	+	0.0977253i
$496$	−22.7519	−	19.1569i	−1.02159	−	0.860168i
$497$	−3.61903	+	3.61903i	−0.162335	+	0.162335i
$498$	−13.7723	−	7.85933i	−0.617151	−	0.352185i
$499$	11.5213	−	17.2429i	0.515764	−	0.771896i	−0.478586	−	0.878041i	$-0.658851\pi$
$499$	11.5213	−	17.2429i	0.515764	−	0.771896i	0.994351	+	0.106144i	$0.0338506\pi$
$500$	5.93267	+	2.85183i	0.265317	+	0.127538i
$501$	−19.4835	+	47.0373i	−0.870457	+	2.10147i
$502$	21.7293	+	18.8636i	0.969827	+	0.841922i
$503$	6.38686	+	32.1089i	0.284776	+	1.43167i	0.812852	+	0.582470i	$0.197913\pi$
$503$	6.38686	+	32.1089i	0.284776	+	1.43167i	−0.528076	+	0.849197i	$0.677087\pi$
$504$	−0.739728	−	49.0104i	−0.0329501	−	2.18310i
$505$	3.27931	+	0.652294i	0.145927	+	0.0290267i
$506$	−5.08221	−	10.1763i	−0.225932	−	0.452393i
$507$	8.03567	−	5.36927i	0.356877	−	0.238457i
$508$	−4.57218	+	17.7772i	−0.202858	+	0.788735i
$509$	9.65912			0.428133			0.214066	−	0.976819i	$-0.431329\pi$
$509$	9.65912			0.428133			0.214066	+	0.976819i	$0.431329\pi$
$510$	2.01334	+	4.93142i	0.0891522	+	0.218367i
$511$		−	11.3636i		−	0.502696i
$512$	−18.2257	+	13.4098i	−0.805472	+	0.592634i
$513$	−1.11941	−	1.67531i	−0.0494230	−	0.0739668i
$514$	−8.46178	−	16.9434i	−0.373233	−	0.747340i
$515$	0.762662	−	3.83416i	0.0336069	−	0.168953i
$516$	12.7002	−	4.45415i	0.559096	−	0.196083i
$517$	−48.2136	+	9.59028i	−2.12043	+	0.421780i
$518$	−16.9504	+	19.5255i	−0.744756	+	0.857900i
$519$	24.3153	+	10.0717i	1.06732	+	0.442100i
$520$	−2.66436	+	2.74602i	−0.116840	+	0.120421i
$521$	−28.4757	−	19.0268i	−1.24754	−	0.833580i	−0.256423	−	0.966565i	$-0.582544\pi$
$521$	−28.4757	−	19.0268i	−1.24754	−	0.833580i	−0.991118	+	0.132984i	$0.957544\pi$
$522$	−16.4171	−	9.36862i	−0.718557	−	0.410053i
$523$	7.62209	+	7.62209i	0.333291	+	0.333291i	0.853835	−	0.520544i	$-0.174271\pi$
$523$	7.62209	+	7.62209i	0.333291	+	0.333291i	−0.520544	+	0.853835i	$0.674271\pi$
$524$	10.7467	+	0.595854i	0.469473	+	0.0260300i
$525$	−19.6296	−	47.3901i	−0.856706	−	2.06827i
$526$	−4.36050	+	13.0611i	−0.190127	+	0.569492i
$527$	−15.0597	−	26.7045i	−0.656011	−	1.16326i
$528$	−11.5008	−	39.7078i	−0.500510	−	1.72806i
$529$	−7.05549	−	17.0335i	−0.306760	−	0.740585i
$530$	−3.78977	+	1.03593i	−0.164617	+	0.0449978i
$531$	−8.23574	+	8.23574i	−0.357401	+	0.357401i
$532$	2.43971	+	2.72613i	0.105775	+	0.118193i
$533$	−19.2004	−	12.8293i	−0.831660	−	0.555697i
$534$	49.2553	+	6.23267i	2.13149	+	0.269714i
$535$	1.00190	−	2.41881i	0.0433160	−	0.104574i
$536$	7.72340	+	35.9813i	0.333600	+	1.55416i
$537$	−2.71043	+	0.539138i	−0.116964	+	0.0232655i
$538$	5.31864	+	6.85965i	0.229303	+	0.295741i
$539$	−28.1023	−	5.58989i	−1.21045	−	0.240774i
$540$	2.77465	−	0.393728i	0.119402	−	0.0169434i
$541$	14.2821	+	21.3746i	0.614034	+	0.918966i	0.999994	−	0.00354934i	$-0.00112979\pi$
$541$	14.2821	+	21.3746i	0.614034	+	0.918966i	−0.385960	+	0.922515i	$0.626130\pi$
$542$	12.6464	−	0.892801i	0.543208	−	0.0383491i
$543$	16.6391			0.714054
$544$	−22.4358	+	6.37472i	−0.961925	+	0.273314i
$545$	2.77667			0.118939
$546$	60.1568	−	4.24692i	2.57447	−	0.181751i
$547$	−10.6145	−	15.8858i	−0.453844	−	0.679226i	0.532028	−	0.846727i	$-0.321430\pi$
$547$	−10.6145	−	15.8858i	−0.453844	−	0.679226i	−0.985872	+	0.167501i	$0.946430\pi$
$548$	4.98523	−	0.707415i	0.212958	−	0.0302193i
$549$	−56.0270	−	11.1445i	−2.39117	−	0.475634i
$550$	−15.9527	−	20.5748i	−0.680225	−	0.877313i
$551$	1.38369	−	0.275234i	0.0589474	−	0.0117254i
$552$	3.48045	+	16.2145i	0.148138	+	0.690136i
$553$	−11.2235	+	27.0959i	−0.477271	+	1.15223i
$554$	−24.9270	−	3.15421i	−1.05905	−	0.134009i
$555$	−3.63320	−	2.42763i	−0.154221	−	0.103047i
$556$	−13.3796	−	14.9503i	−0.567420	−	0.634035i
$557$	−6.00560	+	6.00560i	−0.254466	+	0.254466i	−0.822799	−	0.568333i	$-0.807589\pi$
$557$	−6.00560	+	6.00560i	−0.254466	+	0.254466i	0.568333	+	0.822799i	$0.307589\pi$
$558$	−45.9898	+	12.5712i	−1.94690	+	0.532182i
$559$	3.81346	+	9.20651i	0.161292	+	0.389394i
$560$	−4.88751	+	1.41560i	−0.206535	+	0.0598201i
$561$	3.21698	−	42.4905i	0.135821	−	1.79395i
$562$	−0.202955	+	0.607917i	−0.00856114	+	0.0256434i
$563$	−13.7667	−	33.2357i	−0.580197	−	1.40072i	−0.892635	−	0.450781i	$-0.851146\pi$
$563$	−13.7667	−	33.2357i	−0.580197	−	1.40072i	0.312438	−	0.949938i	$-0.398854\pi$
$564$	71.5600	+	3.96766i	3.01322	+	0.167068i
$565$	−0.593059	−	0.593059i	−0.0249502	−	0.0249502i
$566$	−13.7658	−	7.85564i	−0.578621	−	0.330197i
$567$	6.50062	+	4.34357i	0.273000	+	0.182413i
$568$	2.63731	−	2.71814i	0.110659	−	0.114051i
$569$	−12.3563	−	5.11813i	−0.518001	−	0.214563i	0.108337	−	0.994114i	$-0.465447\pi$
$569$	−12.3563	−	5.11813i	−0.518001	−	0.214563i	−0.626339	+	0.779551i	$0.715447\pi$
$570$	−0.405299	+	0.466872i	−0.0169761	+	0.0195551i
$571$	6.76206	−	1.34506i	0.282984	−	0.0562889i	−0.0515577	−	0.998670i	$-0.516419\pi$
$571$	6.76206	−	1.34506i	0.282984	−	0.0562889i	0.334541	+	0.942381i	$0.391419\pi$
$572$	28.8840	−	10.1300i	1.20770	−	0.423557i
$573$	2.87521	−	14.4546i	0.120113	−	0.603851i
$574$	−13.7211	−	27.4743i	−0.572708	−	1.14676i
$575$	5.80244	+	8.68396i	0.241978	+	0.362146i
$576$	1.09465	+	36.2547i	0.0456105	+	1.51061i
$577$		−	47.0898i		−	1.96038i	−0.198070	−	0.980188i	$-0.563467\pi$
$577$		−	47.0898i		−	1.96038i	0.198070	−	0.980188i	$-0.436533\pi$
$578$	−23.9635	−	1.93691i	−0.996749	−	0.0805649i
$579$	−29.5137			−1.22655
$580$	−0.488771	+	1.90040i	−0.0202951	+	0.0789098i
$581$	12.9827	−	8.67475i	0.538612	−	0.359889i
$582$	18.4560	+	36.9552i	0.765026	+	1.53184i
$583$	30.8261	+	6.13170i	1.27669	+	0.253949i
$584$	0.126903	+	8.40795i	0.00525130	+	0.347924i
$585$	1.19653	+	6.01538i	0.0494706	+	0.248706i
$586$	31.8222	+	27.6253i	1.31456	+	1.14119i
$587$	3.30499	−	7.97895i	0.136412	−	0.329327i	−0.840881	−	0.541219i	$-0.817963\pi$
$587$	3.30499	−	7.97895i	0.136412	−	0.329327i	0.977293	+	0.211893i	$0.0679628\pi$
$588$	37.6502	+	18.0984i	1.55267	+	0.746366i
$589$	1.97698	−	2.95876i	0.0814600	−	0.121914i
$590$	1.05013	+	0.599271i	0.0432333	+	0.0246716i
$591$	−32.7280	+	32.7280i	−1.34625	+	1.34625i
$592$	12.3236	−	14.6362i	0.506496	−	0.601546i
$593$	−2.34044	+	0.969441i	−0.0961103	+	0.0398102i	−0.430221	−	0.902724i	$-0.641564\pi$
$593$	−2.34044	+	0.969441i	−0.0961103	+	0.0398102i	0.334110	+	0.942534i	$0.391564\pi$
$594$	−21.2654	−	7.09954i	−0.872532	−	0.291298i
$595$	−5.23002	−	0.395968i	−0.214410	−	0.0162331i
$596$	8.83964	−	11.7632i	0.362086	−	0.481841i
$597$	−14.8781	+	6.16269i	−0.608918	+	0.252222i
$598$	−11.8445	+	3.23767i	−0.484357	+	0.132398i
$599$	−0.372520	−	0.372520i	−0.0152207	−	0.0152207i	0.699455	−	0.714676i	$-0.253426\pi$
$599$	−0.372520	−	0.372520i	−0.0152207	−	0.0152207i	−0.714676	+	0.699455i	$0.753426\pi$
$600$	15.0532	+	34.8448i	0.614545	+	1.42253i
$601$	−0.453280	+	0.678382i	−0.0184897	+	0.0276718i	−0.840599	−	0.541657i	$-0.817797\pi$
$601$	−0.453280	+	0.678382i	−0.0184897	+	0.0276718i	0.822110	+	0.569329i	$0.192797\pi$
$602$	−1.66368	+	13.1477i	−0.0678064	+	0.535858i
$603$	54.5006	+	22.5749i	2.21943	+	0.919320i
$604$	−15.0274	−	25.4337i	−0.611456	−	1.03488i
$605$	−0.206304	−	1.03716i	−0.00838747	−	0.0421667i
$606$	23.8954	+	30.8188i	0.970682	+	1.25193i
$607$	−0.958124	+	4.81682i	−0.0388891	+	0.195509i	−0.995346	−	0.0963646i	$-0.969279\pi$
$607$	−0.958124	+	4.81682i	−0.0388891	+	0.195509i	0.956457	+	0.291873i	$0.0942785\pi$
$608$	−1.83559	−	1.98983i	−0.0744431	−	0.0806981i
$609$	25.7159	−	17.1828i	1.04206	−	0.696283i
$610$	0.417614	+	5.91542i	0.0169087	+	0.239508i
$611$			53.0659i			2.14682i
$612$	−12.0198	+	35.4027i	−0.485871	+	1.43107i
$613$		−	12.2129i		−	0.493276i	−0.969108	−	0.246638i	$-0.920674\pi$
$613$		−	12.2129i		−	0.493276i	0.969108	−	0.246638i	$-0.0793258\pi$
$614$	−8.31973	+	0.587352i	−0.335757	+	0.0237036i
$615$	4.31519	−	2.88332i	0.174005	−	0.116267i
$616$	40.0397	+	7.33803i	1.61325	+	0.295658i
$617$	1.33065	−	6.68962i	0.0535699	−	0.269314i	−0.944713	−	0.327900i	$-0.893659\pi$
$617$	1.33065	−	6.68962i	0.0535699	−	0.269314i	0.998282	+	0.0585859i	$0.0186592\pi$
$618$	36.0333	−	27.9384i	1.44947	−	1.12385i
$619$	−0.848271	−	4.26454i	−0.0340949	−	0.171406i	0.959986	−	0.280047i	$-0.0903502\pi$
$619$	−0.848271	−	4.26454i	−0.0340949	−	0.171406i	−0.994081	+	0.108641i	$0.965350\pi$
$620$	2.51769	+	4.26117i	0.101113	+	0.171133i
$621$	8.30909	+	3.44174i	0.333432	+	0.138112i
$622$	9.10046	+	1.15155i	0.364895	+	0.0461731i
$623$	−27.1605	+	40.6486i	−1.08816	+	1.62855i
$624$	−44.4627	+	3.81411i	−1.77993	+	0.152687i
$625$	16.5115	+	16.5115i	0.660461	+	0.660461i
$626$	5.16026	+	18.8780i	0.206246	+	0.754515i
$627$	4.56947	−	1.89274i	0.182487	−	0.0755886i
$628$	3.35967	+	2.52467i	0.134065	+	0.100745i
$629$	17.1789	−	9.68787i	0.684969	−	0.386281i
$630$	−2.58295	+	7.73679i	−0.102907	+	0.308241i
$631$	5.62807	−	2.33122i	0.224050	−	0.0928045i	−0.267835	−	0.963465i	$-0.586308\pi$
$631$	5.62807	−	2.33122i	0.224050	−	0.0928045i	0.491885	+	0.870660i	$0.336308\pi$
$632$	8.00168	−	20.1736i	0.318290	−	0.802464i
$633$	−48.7431	+	48.7431i	−1.93736	+	1.93736i
$634$	−15.0591	+	26.3888i	−0.598072	+	1.04803i
$635$	1.69699	−	2.53973i	0.0673431	−	0.100786i
$636$	−41.2995	−	19.8526i	−1.63763	−	0.787207i
$637$	−11.8366	+	28.5761i	−0.468983	+	1.13223i
$638$	10.2908	−	11.8541i	0.407415	−	0.469310i
$639$	−1.18439	−	5.95431i	−0.0468536	−	0.235549i
$640$	3.60047	−	1.10199i	0.142321	−	0.0435599i
$641$	6.70646	+	1.33400i	0.264889	+	0.0526898i	0.325748	−	0.945457i	$-0.394384\pi$
$641$	6.70646	+	1.33400i	0.264889	+	0.0526898i	−0.0608587	+	0.998146i	$0.519384\pi$
$642$	27.3186	−	13.6433i	1.07818	−	0.538459i
$643$	1.66361	−	1.11159i	0.0656064	−	0.0438368i	−0.522335	−	0.852741i	$-0.674939\pi$
$643$	1.66361	−	1.11159i	0.0656064	−	0.0438368i	0.587941	+	0.808904i	$0.299939\pi$
$644$	−15.8151	−	4.06756i	−0.623203	−	0.160284i
$645$	−2.23960			−0.0881842
$646$	−1.05475	−	2.58348i	−0.0414986	−	0.101646i
$647$		−	30.8754i		−	1.21384i	−0.794764	−	0.606919i	$-0.792405\pi$
$647$		−	30.8754i		−	1.21384i	0.794764	−	0.606919i	$-0.207595\pi$
$648$	−4.85833	−	3.14123i	−0.190853	−	0.123399i
$649$	−5.37382	−	8.04249i	−0.210941	−	0.315695i
$650$	−25.1432	+	12.5569i	−0.986198	+	0.492522i
$651$	15.2191	−	76.5115i	0.596483	−	2.99872i
$652$	−16.7127	+	5.86137i	−0.654519	+	0.229549i
$653$	16.8928	−	3.36019i	0.661066	−	0.131494i	0.146855	−	0.989158i	$-0.453085\pi$
$653$	16.8928	−	3.36019i	0.661066	−	0.131494i	0.514211	+	0.857664i	$0.328085\pi$
$654$	24.4558	+	21.2304i	0.956297	+	0.830176i
$655$	−1.65473	−	0.685412i	−0.0646557	−	0.0267813i
$656$	10.4591	+	20.1751i	0.408359	+	0.787706i
$657$	11.2076	+	7.48869i	0.437251	+	0.292162i
$658$	−34.9782	+	61.2940i	−1.36359	+	2.38949i
$659$	25.4940	+	25.4940i	0.993106	+	0.993106i	0.999976	−	0.00687086i	$-0.00218708\pi$
$659$	25.4940	+	25.4940i	0.993106	+	0.993106i	−0.00687086	+	0.999976i	$0.502187\pi$
$660$	−0.380833	+	6.86865i	−0.0148239	+	0.267362i
$661$	−4.66823	−	11.2701i	−0.181573	−	0.438356i	0.806718	−	0.590937i	$-0.201242\pi$
$661$	−4.66823	−	11.2701i	−0.181573	−	0.438356i	−0.988291	+	0.152580i	$0.951242\pi$
$662$	23.6461	+	7.89432i	0.919030	+	0.306821i
$663$	−44.3093	−	12.3544i	−1.72083	−	0.479806i
$664$	−9.50904	+	6.56345i	−0.369022	+	0.254711i
$665$	−0.232971	−	0.562441i	−0.00903422	−	0.0218105i
$666$	−8.08705	−	29.5851i	−0.313367	−	1.14640i
$667$	−4.45287	+	4.45287i	−0.172416	+	0.172416i
$668$	24.7396	+	27.6440i	0.957203	+	1.06958i
$669$	51.8147	+	34.6215i	2.00327	+	1.33854i
$670$	0.768775	−	6.07545i	0.0297004	−	0.234715i
$671$	18.1547	−	43.8293i	0.700855	−	1.69201i
$672$	−53.8709	−	24.9019i	−2.07812	−	0.960612i
$673$	40.5716	−	8.07020i	1.56392	−	0.311083i	0.664203	−	0.747553i	$-0.268771\pi$
$673$	40.5716	−	8.07020i	1.56392	−	0.311083i	0.899719	+	0.436469i	$0.143771\pi$
$674$	38.3302	−	29.7193i	1.47642	−	1.14475i
$675$	20.1894	+	4.01591i	0.777088	+	0.154573i
$676$	−0.989364	−	6.97215i	−0.0380525	−	0.268160i
$677$	23.5485	+	35.2429i	0.905044	+	1.35449i	0.934889	+	0.354940i	$0.115499\pi$
$677$	23.5485	+	35.2429i	0.905044	+	1.35449i	−0.0298450	+	0.999555i	$0.509501\pi$
$678$	−0.688887	−	9.75796i	−0.0264566	−	0.374752i
$679$	−40.6748			−1.56096
$680$	3.87413	+	0.234571i	0.148566	+	0.00899539i
$681$	68.3082			2.61757
$682$	−2.78833	−	39.4962i	−0.106771	−	1.51239i
$683$	12.7070	+	19.0173i	0.486218	+	0.727677i	0.990748	−	0.135718i	$-0.0433340\pi$
$683$	12.7070	+	19.0173i	0.486218	+	0.727677i	−0.504529	+	0.863395i	$0.668334\pi$
$684$	−4.29650	+	0.609683i	−0.164281	+	0.0233118i
$685$	−0.821783	−	0.163463i	−0.0313987	−	0.00624560i
$686$	−2.60467	+	2.01954i	−0.0994469	+	0.0771062i
$687$	−15.9753	+	3.17768i	−0.609496	+	0.121236i
$688$	1.08413	−	9.74656i	0.0413321	−	0.371584i
$689$	12.9839	−	31.3458i	0.494646	−	1.19418i
$690$	0.346439	−	2.73782i	0.0131887	−	0.104227i
$691$	−20.8945	−	13.9613i	−0.794865	−	0.531112i	0.0905617	−	0.995891i	$-0.471134\pi$
$691$	−20.8945	−	13.9613i	−0.794865	−	0.531112i	−0.885427	+	0.464779i	$0.846134\pi$
$692$	14.2902	−	12.7888i	0.543232	−	0.486157i
$693$	46.1399	−	46.1399i	1.75271	−	1.75271i
$694$	1.14766	+	4.19852i	0.0435645	+	0.159374i
$695$	1.27763	+	3.08447i	0.0484633	+	0.117001i
$696$	−18.8354	+	13.0008i	−0.713953	+	0.492794i
$697$	2.82240	+	23.2538i	0.106906	+	0.880800i
$698$	18.9386	+	6.32272i	0.716837	+	0.239319i
$699$	−0.182148	−	0.439745i	−0.00688948	−	0.0166327i
$700$	−37.3186	−	2.06914i	−1.41051	−	0.0782060i
$701$	−17.7469	−	17.7469i	−0.670292	−	0.670292i	0.287491	−	0.957783i	$-0.407179\pi$
$701$	−17.7469	−	17.7469i	−0.670292	−	0.670292i	−0.957783	+	0.287491i	$0.907179\pi$
$702$	−11.9951	+	21.0196i	−0.452726	+	0.793335i
$703$	1.90336	+	1.27179i	0.0717868	+	0.0479664i
$704$	−29.7074	−	4.98228i	−1.11964	−	0.187777i
$705$	−11.0185	−	4.56400i	−0.414980	−	0.171890i
$706$	−26.6102	−	23.1007i	−1.00149	−	0.869406i
$707$	−37.6620	+	7.49144i	−1.41643	+	0.281745i
$708$	4.66712	+	13.3075i	0.175401	+	0.500126i
$709$	−9.13862	+	45.9429i	−0.343208	+	1.72542i	0.294946	+	0.955514i	$0.404698\pi$
$709$	−9.13862	+	45.9429i	−0.343208	+	1.72542i	−0.638154	+	0.769909i	$0.720302\pi$
$710$	−0.563828	+	0.281584i	−0.0211601	+	0.0105677i
$711$	−19.3276	−	28.9258i	−0.724841	−	1.08480i
$712$	19.6422	−	30.3793i	0.736122	−	1.13851i
$713$			15.8837i			0.594850i
$714$	−43.0364	−	43.4763i	−1.61060	−	1.62706i
$715$	−5.09349			−0.190486
$716$	−0.501575	+	1.95018i	−0.0187448	+	0.0728817i
$717$	−25.1867	+	16.8292i	−0.940616	+	0.628499i
$718$	0.393095	−	0.196318i	0.0146702	−	0.00732651i
$719$	−25.2894	−	5.03037i	−0.943134	−	0.187601i	−0.300507	−	0.953780i	$-0.597156\pi$
$719$	−25.2894	−	5.03037i	−0.943134	−	0.187601i	−0.642628	+	0.766179i	$0.722156\pi$
$720$	1.82473	−	5.75331i	0.0680038	−	0.214413i
$721$	8.75899	+	44.0344i	0.326202	+	1.63993i
$722$	−17.4025	+	20.0463i	−0.647653	+	0.746045i
$723$	−13.4945	+	32.5786i	−0.501865	+	1.21161i
$724$	5.25269	−	10.9272i	0.195215	−	0.406107i
$725$	−8.00764	+	11.9843i	−0.297396	+	0.445085i
$726$	6.11311	−	10.7123i	0.226879	−	0.397571i
$727$	22.6936	−	22.6936i	0.841659	−	0.841659i	−0.147415	−	0.989075i	$-0.547095\pi$
$727$	22.6936	−	22.6936i	0.841659	−	0.841659i	0.989075	+	0.147415i	$0.0470954\pi$
$728$	16.2015	−	40.8467i	0.600466	−	1.51388i
$729$	−40.5977	+	16.8161i	−1.50362	+	0.622819i
$730$	0.443117	−	1.32728i	0.0164005	−	0.0491248i
$731$	4.56235	−	9.02033i	0.168745	−	0.333629i
$732$	−41.5512	+	55.2937i	−1.53578	+	2.04372i
$733$	1.17238	−	0.485614i	0.0433027	−	0.0179366i	−0.360927	−	0.932594i	$-0.617540\pi$
$733$	1.17238	−	0.485614i	0.0433027	−	0.0179366i	0.404230	+	0.914658i	$0.367540\pi$
$734$	−0.775553	−	2.83723i	−0.0286262	−	0.104724i
$735$	−4.91545	−	4.91545i	−0.181309	−	0.181309i
$736$	11.7471	+	2.83298i	0.433003	+	0.104425i
$737$	−27.2177	+	40.7341i	−1.00258	+	1.50046i
$738$	36.1395	+	4.57302i	1.33031	+	0.168335i
$739$	1.56708	+	0.649105i	0.0576459	+	0.0238777i	0.411320	−	0.911491i	$-0.365068\pi$
$739$	1.56708	+	0.649105i	0.0576459	+	0.0238777i	−0.353674	+	0.935369i	$0.615068\pi$
$740$	−2.74120	+	1.61963i	−0.100769	+	0.0595386i
$741$	−1.04161	−	5.23653i	−0.0382645	−	0.192369i
$742$	35.6586	−	27.6479i	1.30907	−	1.01499i
$743$	5.34546	−	26.8734i	0.196106	−	0.985891i	−0.749853	−	0.661604i	$-0.769876\pi$
$743$	5.34546	−	26.8734i	0.196106	−	0.985891i	0.945959	−	0.324286i	$-0.105124\pi$
$744$	−10.4062	+	56.7810i	−0.381509	+	2.08169i
$745$	−2.03591	+	1.36035i	−0.0745898	+	0.0498393i
$746$	−45.4368	+	3.20773i	−1.66356	+	0.117443i
$747$			18.5212i			0.677655i
$748$	−26.8887	−	15.5262i	−0.983148	−	0.567693i
$749$			30.0682i			1.09867i
$750$	−0.899698	−	12.7440i	−0.0328523	−	0.465347i
$751$	44.8088	−	29.9403i	1.63510	−	1.09254i	0.716309	−	0.697783i	$-0.245830\pi$
$751$	44.8088	−	29.9403i	1.63510	−	1.09254i	0.918787	−	0.394754i	$-0.129170\pi$
$752$	25.1959	−	45.7422i	0.918801	−	1.66805i
$753$	10.8955	−	54.7751i	0.397052	−	1.99612i
$754$	−10.3834	−	13.3918i	−0.378139	−	0.487701i
$755$	0.959040	+	4.82142i	0.0349030	+	0.175469i
$756$	−27.7100	+	16.3723i	−1.00780	+	0.595455i
$757$	21.0351	+	8.71301i	0.764533	+	0.316680i	0.730656	−	0.682746i	$-0.239215\pi$
$757$	21.0351	+	8.71301i	0.764533	+	0.316680i	0.0338771	+	0.999426i	$0.489215\pi$
$758$	3.24184	−	25.6195i	0.117749	−	0.930543i
$759$	−12.2653	+	18.3563i	−0.445202	+	0.666292i
$760$	0.178657	+	0.413550i	0.00648056	+	0.0150010i
$761$	−24.5023	−	24.5023i	−0.888207	−	0.888207i	0.106144	−	0.994351i	$-0.466150\pi$
$761$	−24.5023	−	24.5023i	−0.888207	−	0.888207i	−0.994351	+	0.106144i	$0.966150\pi$
$762$	34.3652	−	9.39368i	1.24492	−	0.340297i
$763$	−29.4619	+	12.2035i	−1.06659	+	0.441798i
$764$	−8.58495	−	6.45128i	−0.310593	−	0.233399i
$765$	3.83715	−	4.89729i	0.138733	−	0.177062i
$766$	5.88543	+	1.96487i	0.212649	+	0.0709936i
$767$	−9.64671	+	3.99580i	−0.348323	+	0.144280i
$768$	40.1373	+	17.8234i	1.44833	+	0.643146i
$769$	15.4640	−	15.4640i	0.557647	−	0.557647i	−0.370990	−	0.928637i	$-0.620982\pi$
$769$	15.4640	−	15.4640i	0.557647	−	0.557647i	0.928637	+	0.370990i	$0.120982\pi$
$770$	−5.88327	−	3.35736i	−0.212018	−	0.120991i
$771$	−20.4215	+	30.5629i	−0.735462	+	1.10070i
$772$	−9.31698	+	19.3822i	−0.335325	+	0.697580i
$773$	−11.0918	+	26.7780i	−0.398944	+	0.963137i	0.588973	+	0.808153i	$0.299532\pi$
$773$	−11.0918	+	26.7780i	−0.398944	+	0.963137i	−0.987917	+	0.154984i	$0.950468\pi$
$774$	−11.8708	−	10.3052i	−0.426687	−	0.370414i
$775$	7.09248	+	35.6563i	0.254770	+	1.28081i
$776$	30.0954	−	0.454238i	1.08036	−	0.0163062i
$777$	49.2197	+	9.79040i	1.76575	+	0.351229i
$778$	15.5643	+	31.1650i	0.558006	+	1.11732i
$779$	−2.26065	+	1.51052i	−0.0809961	+	0.0541199i
$780$	7.19198	+	1.84973i	0.257514	+	0.0662311i
$781$	5.04178			0.180409
$782$	10.3213	+	6.97263i	0.369087	+	0.249341i
$783$			12.4117i			0.443559i
$784$	23.7711	−	19.0122i	0.848967	−	0.679007i
$785$	−0.388525	−	0.581469i	−0.0138671	−	0.0207535i
$786$	−9.33354	−	18.6889i	−0.332916	−	0.666612i
$787$	2.45957	−	12.3651i	0.0876741	−	0.440767i	−0.911867	−	0.410485i	$-0.865359\pi$
$787$	2.45957	−	12.3651i	0.0876741	−	0.440767i	0.999541	−	0.0302823i	$-0.00964063\pi$
$788$	11.1614	+	31.8247i	0.397607	+	1.13371i
$789$	26.2117	−	5.21384i	0.933163	−	0.185618i
$790$	−2.36750	+	2.72717i	−0.0842319	+	0.0970284i
$791$	8.89918	+	3.68616i	0.316418	+	0.131065i
$792$	−33.6238	+	34.6543i	−1.19477	+	1.23139i
$793$	−42.5810	−	28.4517i	−1.51209	−	1.01035i
$794$	3.45249	+	1.97021i	0.122524	+	0.0699200i
$795$	5.39188	+	5.39188i	0.191230	+	0.191230i
$796$	−0.649603	+	11.7161i	−0.0230246	+	0.415267i
$797$	6.02581	+	14.5476i	0.213445	+	0.515302i	0.993948	−	0.109850i	$-0.0350370\pi$
$797$	6.02581	+	14.5476i	0.213445	+	0.515302i	−0.780503	+	0.625152i	$0.785037\pi$
$798$	2.24852	−	6.73506i	0.0795968	−	0.238418i
$799$	40.8283	−	35.0811i	1.44440	−	1.24108i
$800$	27.6352	+	1.11420i	0.977053	+	0.0393930i
$801$	−22.1916	−	53.5754i	−0.784103	−	1.89299i
$802$	28.6245	−	7.82446i	1.01077	−	0.276291i
$803$	−7.91550	+	7.91550i	−0.279332	+	0.279332i
$804$	53.2240	−	47.6321i	1.87707	−	1.67985i
$805$	2.25942	+	1.50970i	0.0796341	+	0.0532098i
$806$	−42.4039	−	5.36570i	−1.49361	−	0.188999i
$807$	6.44696	−	15.5643i	0.226944	−	0.547891i
$808$	27.7826	−	5.96353i	0.977388	−	0.209796i
$809$	−25.6921	+	5.11048i	−0.903287	+	0.179675i	−0.624818	−	0.780770i	$-0.714827\pi$
$809$	−25.6921	+	5.11048i	−0.903287	+	0.179675i	−0.278469	+	0.960445i	$0.589827\pi$
$810$	0.589904	+	0.760822i	0.0207271	+	0.0267325i
$811$	36.3628	+	7.23302i	1.27687	+	0.253986i	0.786534	−	0.617547i	$-0.211873\pi$
$811$	36.3628	+	7.23302i	1.27687	+	0.253986i	0.490338	+	0.871533i	$0.336873\pi$
$812$	−3.16618	−	22.3124i	−0.111111	−	0.783012i
$813$	−13.6703	−	20.4591i	−0.479440	−	0.717532i
$814$	25.4078	−	1.79373i	0.890544	−	0.0628702i
$815$	2.94717			0.103235
$816$	32.3282	+	31.6876i	1.13171	+	1.10929i
$817$	1.17328			0.0410480
$818$	−8.77813	+	0.619714i	−0.306920	+	0.0216678i
$819$	−39.1336	−	58.5676i	−1.36744	−	2.04652i
$820$	−0.531293	−	3.74408i	−0.0185536	−	0.130749i
$821$	−6.04443	−	1.20231i	−0.210952	−	0.0419610i	0.0884829	−	0.996078i	$-0.471798\pi$
$821$	−6.04443	−	1.20231i	−0.210952	−	0.0419610i	−0.299435	+	0.954117i	$0.596798\pi$
$822$	−5.98810	−	7.72308i	−0.208859	−	0.269373i
$823$	−12.7961	+	2.54530i	−0.446043	+	0.0887235i	−0.413001	−	0.910730i	$-0.635520\pi$
$823$	−12.7961	+	2.54530i	−0.446043	+	0.0887235i	−0.0330420	+	0.999454i	$0.510520\pi$
$824$	−6.97256	−	32.4834i	−0.242900	−	1.13161i
$825$	−19.3370	+	46.6837i	−0.673228	+	1.62532i
$826$	−13.7763	−	1.74322i	−0.479339	−	0.0606545i
$827$	−7.61038	−	5.08509i	−0.264639	−	0.176826i	0.416171	−	0.909286i	$-0.363372\pi$
$827$	−7.61038	−	5.08509i	−0.264639	−	0.176826i	−0.680809	+	0.732461i	$0.738372\pi$
$828$	14.4340	−	12.9175i	0.501616	−	0.448914i
$829$	28.6034	−	28.6034i	0.993438	−	0.993438i	−0.00654071	−	0.999979i	$-0.502082\pi$
$829$	28.6034	−	28.6034i	0.993438	−	0.993438i	0.999979	+	0.00654071i	$0.00208199\pi$
$830$	1.85466	−	0.506967i	0.0643760	−	0.0175971i
$831$	18.6618	+	45.0536i	0.647371	+	1.56289i
$832$	−11.5313	+	30.4035i	−0.399777	+	1.05405i
$833$	29.8111	−	9.78431i	1.03289	−	0.339006i
$834$	−12.3311	+	36.9356i	−0.426990	+	1.27897i
$835$	−2.36241	−	5.70337i	−0.0817546	−	0.197373i
$836$	0.199511	−	3.59835i	0.00690024	−	0.124452i
$837$	22.1368	+	22.1368i	0.765158	+	0.765158i
$838$	−2.26149	−	1.29055i	−0.0781219	−	0.0445812i
$839$	−35.2493	−	23.5529i	−1.21694	−	0.813135i	−0.229840	−	0.973228i	$-0.573820\pi$
$839$	−35.2493	−	23.5529i	−1.21694	−	0.813135i	−0.987102	+	0.160093i	$0.948820\pi$
$840$	7.08789	+	6.87711i	0.244555	+	0.237283i
$841$	18.7634	+	7.77207i	0.647015	+	0.268003i
$842$	−13.0614	+	15.0457i	−0.450127	+	0.518510i
$843$	1.22000	−	0.242673i	0.0420190	−	0.00835810i
$844$	16.6231	+	47.3978i	0.572190	+	1.63150i
$845$	−0.228613	+	1.14931i	−0.00786452	+	0.0395376i
$846$	−37.4018	−	74.8912i	−1.28590	−	2.57481i
$847$	6.74736	+	10.0981i	0.231842	+	0.346976i
$848$	−26.0751	+	20.8550i	−0.895423	+	0.716163i
$849$			30.7619i			1.05574i
$850$	26.2830	+	11.0437i	0.901498	+	0.378796i
$851$	−10.2180			−0.350267
$852$	−7.11896	−	1.83095i	−0.243892	−	0.0627275i
$853$	−31.6526	+	21.1496i	−1.08376	+	0.724148i	−0.963262	−	0.268564i	$-0.913451\pi$
$853$	−31.6526	+	21.1496i	−1.08376	+	0.724148i	−0.120503	+	0.992713i	$0.538451\pi$
$854$	−30.4295	−	60.9304i	−1.04128	−	2.08499i
$855$	0.708251	+	0.140880i	0.0242217	+	0.00481799i
$856$	−0.335788	−	22.2476i	−0.0114770	−	0.760406i
$857$	−2.09184	−	10.5164i	−0.0714559	−	0.359233i	0.928470	−	0.371407i	$-0.121125\pi$
$857$	−2.09184	−	10.5164i	−0.0714559	−	0.359233i	−0.999926	+	0.0121743i	$0.996125\pi$
$858$	−44.8614	−	38.9449i	−1.53154	−	1.32956i
$859$	−4.97874	+	12.0197i	−0.169872	+	0.410108i	−0.985773	−	0.168085i	$-0.946242\pi$
$859$	−4.97874	+	12.0197i	−0.169872	+	0.410108i	0.815900	+	0.578193i	$0.196242\pi$
$860$	−0.707004	+	1.47078i	−0.0241086	+	0.0501533i
$861$	−33.1142	+	49.5590i	−1.12853	+	1.68896i
$862$	−11.2759	−	6.43473i	−0.384059	−	0.219168i
$863$	−16.9343	+	16.9343i	−0.576451	+	0.576451i	−0.933924	−	0.357472i	$-0.883639\pi$
$863$	−16.9343	+	16.9343i	−0.576451	+	0.576451i	0.357472	+	0.933924i	$0.383639\pi$
$864$	20.3199	−	12.4234i	0.691296	−	0.422651i
$865$	−2.94828	+	1.22122i	−0.100245	+	0.0415227i
$866$	−35.2357	−	11.7636i	−1.19736	−	0.399742i
$867$	19.7870	+	42.2584i	0.672000	+	1.43517i
$868$	−45.4420	−	34.1480i	−1.54240	−	1.15906i
$869$	26.6920	−	11.0562i	0.905463	−	0.375055i
$870$	3.67368	−	1.00419i	0.124549	−	0.0340454i
$871$	37.3953	+	37.3953i	1.26709	+	1.26709i
$872$	21.6627	−	9.35844i	0.733591	−	0.316917i
$873$	26.8050	−	40.1165i	0.907211	−	1.35774i
$874$	−0.181493	+	1.43429i	−0.00613908	+	0.0485157i
$875$	11.6225	+	4.81418i	0.392911	+	0.162749i
$876$	14.0512	−	8.30207i	0.474746	−	0.280501i
$877$	0.723374	+	3.63665i	0.0244266	+	0.122801i	0.991075	−	0.133307i	$-0.0425597\pi$
$877$	0.723374	+	3.63665i	0.0244266	+	0.122801i	−0.966648	+	0.256108i	$0.917560\pi$
$878$	28.6092	+	36.8984i	0.965514	+	1.24526i
$879$	15.9562	−	80.2171i	0.538188	−	2.70565i
$880$	4.39054	+	2.41841i	0.148005	+	0.0815247i
$881$	−32.7641	+	21.8922i	−1.10385	+	0.737568i	−0.967444	−	0.253085i	$-0.918555\pi$
$881$	−32.7641	+	21.8922i	−1.10385	+	0.737568i	−0.136405	+	0.990653i	$0.543555\pi$
$882$	−3.43610	−	48.6717i	−0.115700	−	1.63886i
$883$		−	28.6802i		−	0.965167i	−0.875850	−	0.482584i	$-0.839698\pi$
$883$		−	28.6802i		−	0.965167i	0.875850	−	0.482584i	$-0.160302\pi$
$884$	−22.1011	+	25.1986i	−0.743339	+	0.847522i
$885$		−	2.34669i		−	0.0788830i
$886$	−3.03182	+	0.214039i	−0.101856	+	0.00719078i
$887$	−4.34142	+	2.90084i	−0.145771	+	0.0974008i	−0.626317	−	0.779569i	$-0.715438\pi$
$887$	−4.34142	+	2.90084i	−0.145771	+	0.0974008i	0.480546	+	0.876969i	$0.340438\pi$
$888$	−36.5271	−	6.69428i	−1.22577	−	0.224645i
$889$	−6.84382	+	34.4062i	−0.229534	+	1.15395i
$890$	−4.75744	+	3.68868i	−0.159470	+	0.123645i
$891$	−1.50252	−	7.55370i	−0.0503365	−	0.253058i
$892$	39.0936	−	23.0982i	1.30895	−	0.773385i
$893$	5.77237	+	2.39099i	0.193165	+	0.0800116i
$894$	−28.3327	−	3.58516i	−0.947587	−	0.119906i
$895$	0.186163	−	0.278612i	0.00622273	−	0.00931297i
$896$	−33.3597	+	27.5169i	−1.11447	+	0.919274i
$897$	16.8517	+	16.8517i	0.562662	+	0.562662i
$898$	−8.14486	−	29.7966i	−0.271798	−	0.994327i
$899$	−20.2517	+	8.38853i	−0.675432	+	0.279773i
$900$	26.6340	−	35.4428i	0.887799	−	1.18143i
$901$	−32.7006	+	10.7327i	−1.08941	+	0.357557i
$902$	−9.58005	+	28.6954i	−0.318981	+	0.955451i
$903$	23.7634	−	9.84311i	0.790795	−	0.327558i
$904$	−6.62569	−	2.62802i	−0.220367	−	0.0874066i
$905$	−1.42661	+	1.42661i	−0.0474221	+	0.0474221i
$906$	−28.4178	+	49.7980i	−0.944118	+	1.65443i
$907$	−19.1105	+	28.6009i	−0.634555	+	0.949678i	0.365269	+	0.930902i	$0.380977\pi$
$907$	−19.1105	+	28.6009i	−0.634555	+	0.949678i	−0.999824	+	0.0187763i	$0.994023\pi$
$908$	21.5637	−	44.8592i	0.715617	−	1.48870i
$909$	17.4309	−	42.0820i	0.578147	−	1.39577i
$910$	−4.79361	+	5.52186i	−0.158907	+	0.183048i
$911$	−3.21339	−	16.1548i	−0.106464	−	0.535233i	−0.996801	−	0.0799289i	$-0.974531\pi$
$911$	−3.21339	−	16.1548i	−0.106464	−	0.535233i	0.890336	−	0.455304i	$-0.150469\pi$
$912$	−1.58847	+	5.00840i	−0.0525996	+	0.165845i
$913$	−15.0858	−	3.00076i	−0.499268	−	0.0993106i
$914$	−21.4968	+	10.7358i	−0.711052	+	0.355110i
$915$	9.56988	−	6.39439i	0.316371	−	0.211392i
$916$	−2.95629	+	11.4944i	−0.0976786	+	0.379786i
$917$	20.5700			0.679281
$918$	24.1021	−	4.66690i	0.795487	−	0.154031i
$919$		−	14.6931i		−	0.484679i	−0.970192	−	0.242340i	$-0.922085\pi$
$919$		−	14.6931i		−	0.484679i	0.970192	−	0.242340i	$-0.0779148\pi$
$920$	−1.68861	−	1.09180i	−0.0556719	−	0.0359955i
$921$	8.99337	+	13.4595i	0.296342	+	0.443507i
$922$	20.1613	−	10.0689i	0.663978	−	0.331601i
$923$	1.06179	−	5.33799i	0.0349493	−	0.175702i
$924$	−26.1470	−	74.5538i	−0.860175	−	2.45264i
$925$	−22.9376	+	4.56258i	−0.754185	+	0.150017i
$926$	−20.1405	−	17.4843i	−0.661858	−	0.574570i
$927$	−49.2022	−	20.3802i	−1.61601	−	0.669374i
$928$	2.59184	+	16.4737i	0.0850813	+	0.540774i
$929$	2.68842	+	1.79635i	0.0882043	+	0.0589362i	0.598890	−	0.800831i	$-0.295609\pi$
$929$	2.68842	+	1.79635i	0.0882043	+	0.0589362i	−0.510686	+	0.859767i	$0.670609\pi$
$930$	4.76112	−	8.34316i	0.156123	−	0.273583i
$931$	2.57511	+	2.57511i	0.0843958	+	0.0843958i
$932$	−0.346289	−	0.0192001i	−0.0113431	−	0.000628919i
$933$	−6.81314	−	16.4484i	−0.223052	−	0.538496i
$934$	25.4652	+	8.50165i	0.833248	+	0.278183i
$935$	3.36724	+	3.91887i	0.110120	+	0.128161i
$936$	29.6091	+	42.8973i	0.967805	+	1.40214i
$937$	8.87297	+	21.4212i	0.289867	+	0.699801i	0.999991	−	0.00427555i	$-0.00136095\pi$
$937$	8.87297	+	21.4212i	0.289867	+	0.699801i	−0.710124	+	0.704077i	$0.751361\pi$
$938$	18.5447	+	67.8426i	0.605504	+	2.21514i
$939$	26.8586	−	26.8586i	0.876496	−	0.876496i
$940$	−6.47561	+	5.79525i	−0.211211	+	0.189020i
$941$	−29.8240	−	19.9278i	−0.972236	−	0.649627i	−0.0353914	−	0.999374i	$-0.511268\pi$
$941$	−29.8240	−	19.9278i	−0.972236	−	0.649627i	−0.936844	+	0.349746i	$0.886268\pi$
$942$	1.02395	−	8.09202i	0.0333620	−	0.263652i
$943$	4.64425	−	11.2122i	0.151237	−	0.365119i
$944$	10.2126	+	1.13597i	0.332391	+	0.0369726i
$945$	5.25293	−	1.04487i	0.170878	−	0.0339897i
$946$	10.3171	−	7.99935i	0.335437	−	0.260081i
$947$	−35.8411	−	7.12925i	−1.16468	−	0.231669i	−0.425361	−	0.905024i	$-0.639853\pi$
$947$	−35.8411	−	7.12925i	−1.16468	−	0.231669i	−0.739320	+	0.673354i	$0.764853\pi$
$948$	−41.7040	+	5.91789i	−1.35448	+	0.192204i
$949$	6.71354	+	10.0475i	0.217931	+	0.326157i
$950$	0.233028	+	3.30079i	0.00756042	+	0.107092i
$951$	58.9698			1.91223
$952$	−42.1375	+	14.5380i	−1.36568	+	0.471178i
$953$	1.94768			0.0630915			0.0315458	−	0.999502i	$-0.489957\pi$
$953$	1.94768			0.0630915			0.0315458	+	0.999502i	$0.489957\pi$
$954$	3.76915	+	53.3893i	0.122031	+	1.72854i
$955$	0.992799	+	1.48583i	0.0321262	+	0.0480803i
$956$	3.10103	+	21.8533i	0.100294	+	0.706785i
$957$	−29.8818	−	5.94386i	−0.965942	−	0.192138i
$958$	−5.93247	+	4.59974i	−0.191669	+	0.148611i
$959$	9.43799	−	1.87733i	0.304768	−	0.0606222i
$960$	−5.32114	−	5.00923i	−0.171739	−	0.161672i
$961$	−9.29521	+	22.4406i	−0.299846	+	0.723891i
$962$	3.45174	−	27.2783i	0.111289	−	0.879488i
$963$	−29.6555	−	19.8152i	−0.955635	−	0.638535i
$964$	17.1349	+	19.1466i	0.551879	+	0.616669i
$965$	2.53045	−	2.53045i	0.0814581	−	0.0814581i
$966$	8.35691	+	30.5724i	0.268879	+	0.983650i
$967$	−6.67770	−	16.1214i	−0.214740	−	0.518429i	0.779400	−	0.626527i	$-0.215524\pi$
$967$	−6.67770	−	16.1214i	−0.214740	−	0.518429i	−0.994140	+	0.108098i	$0.965524\pi$
$968$	−5.10516	−	7.39628i	−0.164086	−	0.237726i
$969$	−3.34033	+	4.26320i	−0.107307	+	0.136954i
$970$	−4.75086	−	1.58609i	−0.152541	−	0.0509263i
$971$	6.62819	+	16.0019i	0.212709	+	0.513524i	0.993838	−	0.110846i	$-0.0353559\pi$
$971$	6.62819	+	16.0019i	0.212709	+	0.513524i	−0.781129	+	0.624370i	$0.785356\pi$
$972$	−2.02010	+	36.4342i	−0.0647946	+	1.16863i
$973$	−27.1127	−	27.1127i	−0.869193	−	0.869193i
$974$	8.15136	−	14.2840i	0.261186	−	0.457690i
$975$	45.3540	+	30.3046i	1.45249	+	0.970523i
$976$	23.1953	+	44.7427i	0.742465	+	1.43218i
$977$	55.9943	+	23.1936i	1.79142	+	0.742029i	0.989489	+	0.144606i	$0.0461915\pi$
$977$	55.9943	+	23.1936i	1.79142	+	0.742029i	0.801927	+	0.597423i	$0.203808\pi$
$978$	25.9575	+	22.5341i	0.830029	+	0.720562i
$979$	47.2335	−	9.39533i	1.50959	−	0.300276i
$980$	−4.77978	+	1.67634i	−0.152685	+	0.0535486i
$981$	7.37960	−	37.0997i	0.235612	−	1.18450i
$982$	−47.2998	+	23.6222i	−1.50940	+	0.753816i
$983$	15.2862	+	22.8774i	0.487554	+	0.729675i	0.990928	−	0.134393i	$-0.0429084\pi$
$983$	15.2862	+	22.8774i	0.487554	+	0.729675i	−0.503375	+	0.864068i	$0.667908\pi$
$984$	23.9479	−	37.0386i	0.763430	−	1.18075i
$985$		−	5.61208i		−	0.178816i
$986$	−3.43921	+	16.8420i	−0.109527	+	0.536358i
$987$	136.971			4.35983
$988$	−3.76774	−	0.969040i	−0.119868	−	0.0308293i
$989$	−4.35450	+	2.90959i	−0.138465	+	0.0925194i
$990$	7.18838	−	3.58999i	0.228462	−	0.114097i
$991$	−25.1440	−	5.00144i	−0.798724	−	0.158876i	−0.221177	−	0.975234i	$-0.570990\pi$
$991$	−25.1440	−	5.00144i	−0.798724	−	0.158876i	−0.577547	+	0.816358i	$0.695990\pi$
$992$	34.0040	+	24.7587i	1.07963	+	0.786090i
$993$	−9.43922	−	47.4542i	−0.299545	−	1.50591i
$994$	4.74494	−	5.46579i	0.150500	−	0.173364i
$995$	0.747239	−	1.80400i	0.0236891	−	0.0571905i
$996$	20.2113	+	9.71556i	0.640421	+	0.307849i
$997$	−3.80530	+	5.69504i	−0.120515	+	0.180364i	−0.886822	−	0.462111i	$-0.847092\pi$
$997$	−3.80530	+	5.69504i	−0.120515	+	0.180364i	0.766307	+	0.642475i	$0.222092\pi$
$998$	−14.5359	+	25.4720i	−0.460125	+	0.806301i
$999$	−14.2405	+	14.2405i	−0.450551	+	0.450551i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	136.2.s.c.107.2	yes	112
4.3	odd	2		544.2.cc.c.175.1		112
8.3	odd	2	inner	136.2.s.c.107.12	yes	112
8.5	even	2		544.2.cc.c.175.2		112
17.7	odd	16	inner	136.2.s.c.75.12	yes	112
68.7	even	16		544.2.cc.c.143.2		112
136.75	even	16	inner	136.2.s.c.75.2	✓	112
136.109	odd	16		544.2.cc.c.143.1		112

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
136.2.s.c.75.2	✓	112	136.75	even	16	inner
136.2.s.c.75.12	yes	112	17.7	odd	16	inner
136.2.s.c.107.2	yes	112	1.1	even	1	trivial
136.2.s.c.107.12	yes	112	8.3	odd	2	inner
544.2.cc.c.143.1		112	136.109	odd	16
544.2.cc.c.143.2		112	68.7	even	16
544.2.cc.c.175.1		112	4.3	odd	2
544.2.cc.c.175.2		112	8.5	even	2

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:	\( N \)	\(=\)	\( 136 = 2^{3} \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	136.s (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.41070 + 0.0995921i) q^{2} +(1.52493 + 2.28221i) q^{3} +(1.98016 - 0.280990i) q^{4} +(-0.326417 - 0.0649284i) q^{5} +(-2.37851 - 3.06765i) q^{6} +(3.74882 - 0.745687i) q^{7} +(-2.76544 + 0.593601i) q^{8} +(-1.73505 + 4.18878i) q^{9} +O(q^{10})\)	\(q+(-1.41070 + 0.0995921i) q^{2} +(1.52493 + 2.28221i) q^{3} +(1.98016 - 0.280990i) q^{4} +(-0.326417 - 0.0649284i) q^{5} +(-2.37851 - 3.06765i) q^{6} +(3.74882 - 0.745687i) q^{7} +(-2.76544 + 0.593601i) q^{8} +(-1.73505 + 4.18878i) q^{9} +(0.466944 + 0.0590861i) q^{10} +(-3.13072 - 2.09188i) q^{11} +(3.66088 + 4.09067i) q^{12} +(-2.87411 + 2.87411i) q^{13} +(-5.21421 + 1.42530i) q^{14} +(-0.349582 - 0.843965i) q^{15} +(3.84209 - 1.11281i) q^{16} +(4.11134 + 0.311272i) q^{17} +(2.03047 - 6.08192i) q^{18} +(0.183139 + 0.442137i) q^{19} +(-0.664604 - 0.0368490i) q^{20} +(7.41850 + 7.41850i) q^{21} +(4.62486 + 2.63923i) q^{22} +(-1.77614 - 1.18678i) q^{23} +(-5.57181 - 5.40612i) q^{24} +(-4.51707 - 1.87103i) q^{25} +(3.76827 - 4.34075i) q^{26} +(-4.12935 + 0.821378i) q^{27} +(7.21375 - 2.52996i) q^{28} +(0.575123 - 2.89134i) q^{29} +(0.577208 + 1.15577i) q^{30} +(-4.13105 - 6.18255i) q^{31} +(-5.30922 + 1.95249i) q^{32} -10.3350i q^{33} +(-5.83088 - 0.0296552i) q^{34} -1.27210 q^{35} +(-2.25868 + 8.78199i) q^{36} +(3.97723 - 2.65750i) q^{37} +(-0.302388 - 0.605485i) q^{38} +(-10.9421 - 2.17653i) q^{39} +(0.941228 - 0.0142062i) q^{40} +(1.10836 + 5.57210i) q^{41} +(-11.2041 - 9.72647i) q^{42} +(0.938212 - 2.26505i) q^{43} +(-6.78714 - 3.26257i) q^{44} +(0.838321 - 1.25464i) q^{45} +(2.62380 + 1.49730i) q^{46} +(9.23171 - 9.23171i) q^{47} +(8.39858 + 7.07152i) q^{48} +(7.03047 - 2.91212i) q^{49} +(6.55857 + 2.18960i) q^{50} +(5.55910 + 9.85762i) q^{51} +(-4.88361 + 6.49880i) q^{52} +(-7.71191 + 3.19438i) q^{53} +(5.74348 - 1.56997i) q^{54} +(0.886100 + 0.886100i) q^{55} +(-9.92449 + 4.28746i) q^{56} +(-0.729778 + 1.09219i) q^{57} +(-0.523373 + 4.13609i) q^{58} +(2.37335 + 0.983072i) q^{59} +(-0.929374 - 1.57296i) q^{60} +(2.45803 + 12.3573i) q^{61} +(6.44342 + 8.31032i) q^{62} +(-3.38087 + 16.9968i) q^{63} +(7.29528 - 3.28313i) q^{64} +(1.12477 - 0.751547i) q^{65} +(1.02928 + 14.5795i) q^{66} -13.0111i q^{67} +(8.22859 - 0.538874i) q^{68} -5.86328i q^{69} +(1.79455 - 0.126691i) q^{70} +(-1.11335 + 0.743917i) q^{71} +(2.31170 - 12.6137i) q^{72} +(0.580003 - 2.91587i) q^{73} +(-5.34602 + 4.14504i) q^{74} +(-2.61810 - 13.1621i) q^{75} +(0.486881 + 0.824044i) q^{76} +(-13.2964 - 5.50756i) q^{77} +(15.6529 + 1.98068i) q^{78} +(-4.26291 + 6.37989i) q^{79} +(-1.32638 + 0.113780i) q^{80} +(1.44635 + 1.44635i) q^{81} +(-2.11850 - 7.75019i) q^{82} +(3.77409 - 1.56328i) q^{83} +(16.7744 + 12.6053i) q^{84} +(-1.32180 - 0.368547i) q^{85} +(-1.09796 + 3.28874i) q^{86} +(7.47567 - 3.09652i) q^{87} +(9.89956 + 3.92657i) q^{88} +(-9.04404 + 9.04404i) q^{89} +(-1.05767 + 1.85341i) q^{90} +(-8.63134 + 12.9177i) q^{91} +(-3.85052 - 1.85094i) q^{92} +(7.81036 - 18.8559i) q^{93} +(-12.1038 + 13.9426i) q^{94} +(-0.0310725 - 0.156212i) q^{95} +(-12.5522 - 9.13938i) q^{96} +(-10.4371 - 2.07606i) q^{97} +(-9.62788 + 4.80831i) q^{98} +(14.1944 - 9.48439i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 112 q - 8 q^{2} - 16 q^{3} - 8 q^{4} - 8 q^{6} - 8 q^{8} - 16 q^{9}+O(q^{10}) \) 112 * q - 8 * q^2 - 16 * q^3 - 8 * q^4 - 8 * q^6 - 8 * q^8 - 16 * q^9	\( 112 q - 8 q^{2} - 16 q^{3} - 8 q^{4} - 8 q^{6} - 8 q^{8} - 16 q^{9} - 8 q^{10} - 16 q^{11} + 24 q^{12} - 8 q^{14} - 16 q^{17} - 16 q^{18} - 16 q^{19} - 8 q^{20} - 8 q^{22} - 56 q^{24} - 16 q^{25} - 40 q^{26} + 32 q^{27} + 40 q^{28} - 72 q^{30} + 32 q^{32} - 72 q^{34} - 32 q^{35} + 56 q^{36} + 48 q^{38} + 56 q^{40} - 16 q^{41} - 56 q^{42} - 96 q^{43} + 24 q^{44} - 24 q^{46} + 16 q^{48} - 16 q^{49} - 16 q^{51} - 16 q^{52} - 24 q^{54} + 32 q^{56} + 32 q^{57} + 48 q^{58} - 16 q^{59} + 96 q^{60} + 48 q^{62} + 40 q^{64} + 64 q^{65} - 16 q^{66} + 80 q^{68} + 64 q^{70} + 96 q^{72} - 96 q^{73} + 40 q^{74} - 16 q^{75} + 48 q^{76} + 96 q^{78} + 8 q^{80} - 96 q^{81} + 32 q^{82} + 128 q^{83} + 64 q^{86} - 72 q^{88} - 16 q^{89} + 152 q^{90} - 16 q^{91} - 120 q^{92} + 88 q^{94} - 160 q^{96} - 16 q^{97} + 128 q^{98} + 48 q^{99}+O(q^{100}) \) 112 * q - 8 * q^2 - 16 * q^3 - 8 * q^4 - 8 * q^6 - 8 * q^8 - 16 * q^9 - 8 * q^10 - 16 * q^11 + 24 * q^12 - 8 * q^14 - 16 * q^17 - 16 * q^18 - 16 * q^19 - 8 * q^20 - 8 * q^22 - 56 * q^24 - 16 * q^25 - 40 * q^26 + 32 * q^27 + 40 * q^28 - 72 * q^30 + 32 * q^32 - 72 * q^34 - 32 * q^35 + 56 * q^36 + 48 * q^38 + 56 * q^40 - 16 * q^41 - 56 * q^42 - 96 * q^43 + 24 * q^44 - 24 * q^46 + 16 * q^48 - 16 * q^49 - 16 * q^51 - 16 * q^52 - 24 * q^54 + 32 * q^56 + 32 * q^57 + 48 * q^58 - 16 * q^59 + 96 * q^60 + 48 * q^62 + 40 * q^64 + 64 * q^65 - 16 * q^66 + 80 * q^68 + 64 * q^70 + 96 * q^72 - 96 * q^73 + 40 * q^74 - 16 * q^75 + 48 * q^76 + 96 * q^78 + 8 * q^80 - 96 * q^81 + 32 * q^82 + 128 * q^83 + 64 * q^86 - 72 * q^88 - 16 * q^89 + 152 * q^90 - 16 * q^91 - 120 * q^92 + 88 * q^94 - 160 * q^96 - 16 * q^97 + 128 * q^98 + 48 * q^99

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