LMFDB - Embedded newform 92.2.h.a.11.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [92,2,Mod(7,92)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(92, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 19]))

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

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

chi := DirichletCharacter("92.7");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 92 = 2^{2} \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	92.h (of order $22$, degree $10$, 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:	$0.734623698596$
Analytic rank:	$0$
Dimension:	$100$
Relative dimension:	$10$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			11.10
Character	$\chi$	$=$	92.11
Dual form			92.2.h.a.67.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.41341 - 0.0477935i) q^{2} +(-0.942266 - 0.135477i) q^{3} +(1.99543 - 0.135103i) q^{4} +(0.224821 + 0.765671i) q^{5} +(-1.33828 - 0.146450i) q^{6} +(-0.326270 - 0.376536i) q^{7} +(2.81390 - 0.286325i) q^{8} +(-2.00897 - 0.589886i) q^{9} +O(q^{10})$	\(q+(1.41341 - 0.0477935i) q^{2} +(-0.942266 - 0.135477i) q^{3} +(1.99543 - 0.135103i) q^{4} +(0.224821 + 0.765671i) q^{5} +(-1.33828 - 0.146450i) q^{6} +(-0.326270 - 0.376536i) q^{7} +(2.81390 - 0.286325i) q^{8} +(-2.00897 - 0.589886i) q^{9} +(0.354358 + 1.07146i) q^{10} +(-1.90627 - 1.22508i) q^{11} +(-1.89853 - 0.143033i) q^{12} +(-1.73870 + 2.00657i) q^{13} +(-0.479148 - 0.516604i) q^{14} +(-0.108110 - 0.751924i) q^{15} +(3.96349 - 0.539179i) q^{16} +(-1.98209 + 0.905190i) q^{17} +(-2.86768 - 0.737733i) q^{18} +(-1.56869 + 3.43496i) q^{19} +(0.552060 + 1.49747i) q^{20} +(0.256421 + 0.398999i) q^{21} +(-2.75288 - 1.64043i) q^{22} +(-2.43504 - 4.13166i) q^{23} +(-2.69023 - 0.111426i) q^{24} +(3.67056 - 2.35893i) q^{25} +(-2.36159 + 2.91919i) q^{26} +(4.41085 + 2.01437i) q^{27} +(-0.701921 - 0.707271i) q^{28} +(0.412317 + 0.902848i) q^{29} +(-0.188741 - 1.05761i) q^{30} +(8.24246 - 1.18509i) q^{31} +(5.57626 - 0.951508i) q^{32} +(1.63024 + 1.41261i) q^{33} +(-2.75824 + 1.37413i) q^{34} +(0.214950 - 0.334469i) q^{35} +(-4.08845 - 0.905659i) q^{36} +(1.88484 - 6.41916i) q^{37} +(-2.05303 + 4.92996i) q^{38} +(1.91016 - 1.65516i) q^{39} +(0.851854 + 2.09015i) q^{40} +(-0.272870 + 0.0801218i) q^{41} +(0.381497 + 0.551692i) q^{42} +(-1.81495 + 12.6232i) q^{43} +(-3.96933 - 2.18703i) q^{44} -1.67083i q^{45} +(-3.63917 - 5.72333i) q^{46} +0.0264499i q^{47} +(-3.80771 - 0.0289139i) q^{48} +(0.960877 - 6.68305i) q^{49} +(5.07525 - 3.50955i) q^{50} +(1.99029 - 0.584402i) q^{51} +(-3.19836 + 4.23887i) q^{52} +(-5.21592 + 4.51962i) q^{53} +(6.33060 + 2.63631i) q^{54} +(0.509441 - 1.73500i) q^{55} +(-1.02590 - 0.966113i) q^{56} +(1.94349 - 3.02412i) q^{57} +(0.625921 + 1.25638i) q^{58} +(4.01034 + 3.47498i) q^{59} +(-0.317314 - 1.48581i) q^{60} +(8.30030 - 1.19340i) q^{61} +(11.5933 - 2.06895i) q^{62} +(0.433353 + 0.948910i) q^{63} +(7.83604 - 1.61138i) q^{64} +(-1.92726 - 0.880152i) q^{65} +(2.37170 + 1.91868i) q^{66} +(-1.06804 + 0.686390i) q^{67} +(-3.83283 + 2.07403i) q^{68} +(1.73471 + 4.22301i) q^{69} +(0.287826 - 0.483013i) q^{70} +(-5.66952 - 8.82195i) q^{71} +(-5.82193 - 1.08466i) q^{72} +(-4.66753 + 10.2205i) q^{73} +(2.35724 - 9.16296i) q^{74} +(-3.77823 + 1.72546i) q^{75} +(-2.66614 + 7.06616i) q^{76} +(0.160670 + 1.11748i) q^{77} +(2.62073 - 2.43071i) q^{78} +(5.81816 - 6.71451i) q^{79} +(1.30391 + 2.91351i) q^{80} +(1.40090 + 0.900307i) q^{81} +(-0.381846 + 0.126286i) q^{82} +(-17.3091 - 5.08240i) q^{83} +(0.565577 + 0.761532i) q^{84} +(-1.13869 - 1.31412i) q^{85} +(-1.96195 + 17.9285i) q^{86} +(-0.266197 - 0.906583i) q^{87} +(-5.71481 - 2.90145i) q^{88} +(-10.4094 - 1.49664i) q^{89} +(-0.0798547 - 2.36156i) q^{90} +1.32283 q^{91} +(-5.41716 - 7.91545i) q^{92} -7.92714 q^{93} +(0.00126413 + 0.0373844i) q^{94} +(-2.98272 - 0.428851i) q^{95} +(-5.38322 + 0.141117i) q^{96} +(3.67994 + 12.5327i) q^{97} +(1.03870 - 9.49178i) q^{98} +(3.10697 + 3.58563i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 100 q - 7 q^{2} - 11 q^{4} - 22 q^{5} - 12 q^{6} - 10 q^{8} - 12 q^{9}+O(q^{10}) $ 100 * q - 7 * q^2 - 11 * q^4 - 22 * q^5 - 12 * q^6 - 10 * q^8 - 12 * q^9	$ 100 q - 7 q^{2} - 11 q^{4} - 22 q^{5} - 12 q^{6} - 10 q^{8} - 12 q^{9} - 11 q^{10} - 18 q^{12} - 18 q^{13} - 11 q^{14} + 5 q^{16} - 22 q^{17} - 24 q^{18} - 11 q^{20} - 22 q^{21} - 30 q^{24} - 16 q^{25} + 12 q^{26} - 11 q^{28} - 42 q^{29} - 11 q^{30} - 27 q^{32} - 22 q^{33} + 11 q^{34} + 77 q^{36} - 22 q^{37} + 44 q^{38} + 77 q^{40} - 10 q^{41} + 99 q^{42} + 66 q^{44} + 65 q^{46} + 38 q^{48} - 8 q^{49} + 30 q^{50} + 96 q^{52} - 22 q^{53} + 48 q^{54} + 44 q^{56} - 22 q^{57} + 79 q^{58} + 11 q^{60} - 22 q^{61} - 36 q^{62} + 10 q^{64} - 22 q^{65} - 44 q^{66} - 10 q^{69} + 34 q^{70} - 21 q^{72} - 18 q^{73} - 22 q^{74} - 66 q^{76} + 122 q^{77} - 66 q^{78} - 110 q^{80} + 8 q^{81} - 122 q^{82} - 165 q^{84} + 54 q^{85} - 121 q^{86} - 99 q^{88} + 22 q^{89} - 198 q^{90} - 86 q^{92} + 212 q^{93} - 61 q^{94} - 147 q^{96} + 22 q^{97} - 71 q^{98}+O(q^{100}) $ 100 * q - 7 * q^2 - 11 * q^4 - 22 * q^5 - 12 * q^6 - 10 * q^8 - 12 * q^9 - 11 * q^10 - 18 * q^12 - 18 * q^13 - 11 * q^14 + 5 * q^16 - 22 * q^17 - 24 * q^18 - 11 * q^20 - 22 * q^21 - 30 * q^24 - 16 * q^25 + 12 * q^26 - 11 * q^28 - 42 * q^29 - 11 * q^30 - 27 * q^32 - 22 * q^33 + 11 * q^34 + 77 * q^36 - 22 * q^37 + 44 * q^38 + 77 * q^40 - 10 * q^41 + 99 * q^42 + 66 * q^44 + 65 * q^46 + 38 * q^48 - 8 * q^49 + 30 * q^50 + 96 * q^52 - 22 * q^53 + 48 * q^54 + 44 * q^56 - 22 * q^57 + 79 * q^58 + 11 * q^60 - 22 * q^61 - 36 * q^62 + 10 * q^64 - 22 * q^65 - 44 * q^66 - 10 * q^69 + 34 * q^70 - 21 * q^72 - 18 * q^73 - 22 * q^74 - 66 * q^76 + 122 * q^77 - 66 * q^78 - 110 * q^80 + 8 * q^81 - 122 * q^82 - 165 * q^84 + 54 * q^85 - 121 * q^86 - 99 * q^88 + 22 * q^89 - 198 * q^90 - 86 * q^92 + 212 * q^93 - 61 * q^94 - 147 * q^96 + 22 * q^97 - 71 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/92\mathbb{Z}\right)^\times$.

$n$	$5$	$47$
$\chi(n)$	$e\left(\frac{9}{22}\right)$	$-1$

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 $

$2$	1.41341	−	0.0477935i	0.999429	−	0.0337951i
$2$	1.41341	−	0.0477935i	0.999429	−	0.0337951i
$3$	−0.942266	−	0.135477i	−0.544018	−	0.0782179i	−0.135173	−	0.990822i	$-0.543159\pi$
$3$	−0.942266	−	0.135477i	−0.544018	−	0.0782179i	−0.408844	+	0.912604i	$0.634068\pi$
$4$	1.99543	−	0.135103i	0.997716	−	0.0675517i
$5$	0.224821	+	0.765671i	0.100543	+	0.342418i	0.994366	−	0.106002i	$-0.0338050\pi$
$5$	0.224821	+	0.765671i	0.100543	+	0.342418i	−0.893823	+	0.448420i	$0.851987\pi$
$6$	−1.33828	−	0.146450i	−0.546350	−	0.0597881i
$7$	−0.326270	−	0.376536i	−0.123318	−	0.142317i	0.690733	−	0.723110i	$-0.257288\pi$
$7$	−0.326270	−	0.376536i	−0.123318	−	0.142317i	−0.814051	+	0.580793i	$0.802743\pi$
$8$	2.81390	−	0.286325i	0.994863	−	0.101231i
$9$	−2.00897	−	0.589886i	−0.669656	−	0.196629i
$10$	0.354358	+	1.07146i	0.112058	+	0.338825i
$11$	−1.90627	−	1.22508i	−0.574761	−	0.369376i	0.220737	−	0.975333i	$-0.429154\pi$
$11$	−1.90627	−	1.22508i	−0.574761	−	0.369376i	−0.795497	+	0.605957i	$0.792790\pi$
$12$	−1.89853	−	0.143033i	−0.548059	−	0.0412900i
$13$	−1.73870	+	2.00657i	−0.482228	+	0.556521i	−0.943772	−	0.330596i	$-0.892750\pi$
$13$	−1.73870	+	2.00657i	−0.482228	+	0.556521i	0.461544	+	0.887117i	$0.347296\pi$
$14$	−0.479148	−	0.516604i	−0.128058	−	0.138068i
$15$	−0.108110	−	0.751924i	−0.0279140	−	0.194146i
$16$	3.96349	−	0.539179i	0.990874	−	0.134795i
$17$	−1.98209	+	0.905190i	−0.480728	+	0.219541i	−0.641013	−	0.767530i	$-0.721486\pi$
$17$	−1.98209	+	0.905190i	−0.480728	+	0.219541i	0.160286	+	0.987071i	$0.448758\pi$
$18$	−2.86768	−	0.737733i	−0.675918	−	0.173885i
$19$	−1.56869	+	3.43496i	−0.359883	+	0.788033i	0.639925	+	0.768437i	$0.278965\pi$
$19$	−1.56869	+	3.43496i	−0.359883	+	0.788033i	−0.999808	+	0.0195962i	$0.993762\pi$
$20$	0.552060	+	1.49747i	0.123444	+	0.334844i
$21$	0.256421	+	0.398999i	0.0559557	+	0.0870687i
$22$	−2.75288	−	1.64043i	−0.586915	−	0.349741i
$23$	−2.43504	−	4.13166i	−0.507741	−	0.861510i
$23$	−2.43504	−	4.13166i	−0.507741	−	0.861510i
$24$	−2.69023	−	0.111426i	−0.549141	−	0.0227447i
$25$	3.67056	−	2.35893i	0.734112	−	0.471785i
$26$	−2.36159	+	2.91919i	−0.463145	+	0.572500i
$27$	4.41085	+	2.01437i	0.848869	+	0.387666i
$28$	−0.701921	−	0.707271i	−0.132651	−	0.133662i
$29$	0.412317	+	0.902848i	0.0765653	+	0.167655i	0.944044	−	0.329820i	$-0.106988\pi$
$29$	0.412317	+	0.902848i	0.0765653	+	0.167655i	−0.867479	+	0.497475i	$0.834261\pi$
$30$	−0.188741	−	1.05761i	−0.0344592	−	0.193092i
$31$	8.24246	−	1.18509i	1.48039	−	0.212848i	0.645710	−	0.763583i	$-0.276562\pi$
$31$	8.24246	−	1.18509i	1.48039	−	0.212848i	0.834680	+	0.550735i	$0.185653\pi$
$32$	5.57626	−	0.951508i	0.985752	−	0.168204i
$33$	1.63024	+	1.41261i	0.283788	+	0.245904i
$34$	−2.75824	+	1.37413i	−0.473034	+	0.235662i
$35$	0.214950	−	0.334469i	0.0363332	−	0.0565355i
$36$	−4.08845	−	0.905659i	−0.681409	−	0.150943i
$37$	1.88484	−	6.41916i	0.309865	−	1.05530i	−0.646448	−	0.762958i	$-0.723746\pi$
$37$	1.88484	−	6.41916i	0.309865	−	1.05530i	0.956313	−	0.292345i	$-0.0944357\pi$
$38$	−2.05303	+	4.92996i	−0.333046	+	0.799746i
$39$	1.91016	−	1.65516i	0.305871	−	0.265038i
$40$	0.851854	+	2.09015i	0.134690	+	0.330481i
$41$	−0.272870	+	0.0801218i	−0.0426151	+	0.0125129i	−0.302971	−	0.953000i	$-0.597978\pi$
$41$	−0.272870	+	0.0801218i	−0.0426151	+	0.0125129i	0.260356	+	0.965513i	$0.416160\pi$
$42$	0.381497	+	0.551692i	0.0588662	+	0.0851279i
$43$	−1.81495	+	12.6232i	−0.276777	+	1.92502i	0.0925187	+	0.995711i	$0.470508\pi$
$43$	−1.81495	+	12.6232i	−0.276777	+	1.92502i	−0.369295	+	0.929312i	$0.620401\pi$
$44$	−3.96933	−	2.18703i	−0.598400	−	0.329706i
$45$		−	1.67083i		−	0.249072i
$46$	−3.63917	−	5.72333i	−0.536566	−	0.843859i
$47$			0.0264499i			0.00385811i	0.999998	+	0.00192905i	$0.000614038\pi$
$47$			0.0264499i			0.00385811i	−0.999998	+	0.00192905i	$0.999386\pi$
$48$	−3.80771	−	0.0289139i	−0.549596	−	0.00417336i
$49$	0.960877	−	6.68305i	0.137268	−	0.954721i
$50$	5.07525	−	3.50955i	0.717749	−	0.496325i
$51$	1.99029	−	0.584402i	0.278696	−	0.0818326i
$52$	−3.19836	+	4.23887i	−0.443533	+	0.587825i
$53$	−5.21592	+	4.51962i	−0.716461	+	0.620817i	−0.934849	−	0.355045i	$-0.884466\pi$
$53$	−5.21592	+	4.51962i	−0.716461	+	0.620817i	0.218388	+	0.975862i	$0.429920\pi$
$54$	6.33060	+	2.63631i	0.861486	+	0.358756i
$55$	0.509441	−	1.73500i	0.0686930	−	0.233947i
$56$	−1.02590	−	0.966113i	−0.137092	−	0.129102i
$57$	1.94349	−	3.02412i	0.257421	−	0.400555i
$58$	0.625921	+	1.25638i	0.0821875	+	0.164971i
$59$	4.01034	+	3.47498i	0.522102	+	0.452404i	0.875604	−	0.483030i	$-0.160464\pi$
$59$	4.01034	+	3.47498i	0.522102	+	0.452404i	−0.353502	+	0.935434i	$0.615009\pi$
$60$	−0.317314	−	1.48581i	−0.0409651	−	0.191817i
$61$	8.30030	−	1.19340i	1.06274	−	0.152800i	0.411303	−	0.911499i	$-0.365074\pi$
$61$	8.30030	−	1.19340i	1.06274	−	0.152800i	0.651441	+	0.758699i	$0.274165\pi$
$62$	11.5933	−	2.06895i	1.47235	−	0.262756i
$63$	0.433353	+	0.948910i	0.0545973	+	0.119551i
$64$	7.83604	−	1.61138i	0.979505	−	0.201422i
$65$	−1.92726	−	0.880152i	−0.239048	−	0.109169i
$66$	2.37170	+	1.91868i	0.291936	+	0.236173i
$67$	−1.06804	+	0.686390i	−0.130482	+	0.0838559i	−0.604254	−	0.796792i	$-0.706529\pi$
$67$	−1.06804	+	0.686390i	−0.130482	+	0.0838559i	0.473771	+	0.880648i	$0.342892\pi$
$68$	−3.83283	+	2.07403i	−0.464799	+	0.251513i
$69$	1.73471	+	4.22301i	0.208834	+	0.508391i
$70$	0.287826	−	0.483013i	0.0344018	−	0.0577311i
$71$	−5.66952	−	8.82195i	−0.672848	−	1.04697i	−0.994960	−	0.100271i	$-0.968029\pi$
$71$	−5.66952	−	8.82195i	−0.672848	−	1.04697i	0.322112	−	0.946702i	$-0.395607\pi$
$72$	−5.82193	−	1.08466i	−0.686121	−	0.127829i
$73$	−4.66753	+	10.2205i	−0.546293	+	1.19622i	0.412198	+	0.911094i	$0.364761\pi$
$73$	−4.66753	+	10.2205i	−0.546293	+	1.19622i	−0.958492	+	0.285121i	$0.907966\pi$
$74$	2.35724	−	9.16296i	0.274024	−	1.06517i
$75$	−3.77823	+	1.72546i	−0.436272	+	0.199239i
$76$	−2.66614	+	7.06616i	−0.305828	+	0.810544i
$77$	0.160670	+	1.11748i	0.0183100	+	0.127349i
$78$	2.62073	−	2.43071i	0.296739	−	0.275224i
$79$	5.81816	−	6.71451i	0.654594	−	0.755441i	−0.327291	−	0.944924i	$-0.606136\pi$
$79$	5.81816	−	6.71451i	0.654594	−	0.755441i	0.981884	+	0.189482i	$0.0606810\pi$
$80$	1.30391	+	2.91351i	0.145782	+	0.325741i
$81$	1.40090	+	0.900307i	0.155656	+	0.100034i
$82$	−0.381846	+	0.126286i	−0.0421679	+	0.0139460i
$83$	−17.3091	−	5.08240i	−1.89992	−	0.557866i	−0.989577	−	0.144007i	$-0.954001\pi$
$83$	−17.3091	−	5.08240i	−1.89992	−	0.557866i	−0.910341	−	0.413859i	$-0.864181\pi$
$84$	0.565577	+	0.761532i	0.0617095	+	0.0830899i
$85$	−1.13869	−	1.31412i	−0.123509	−	0.142537i
$86$	−1.96195	+	17.9285i	−0.211562	+	1.93328i
$87$	−0.266197	−	0.906583i	−0.0285393	−	0.0971959i
$88$	−5.71481	−	2.90145i	−0.609200	−	0.309295i
$89$	−10.4094	−	1.49664i	−1.10339	−	0.158644i	−0.433538	−	0.901135i	$-0.642735\pi$
$89$	−10.4094	−	1.49664i	−1.10339	−	0.158644i	−0.669856	+	0.742491i	$0.733644\pi$
$90$	−0.0798547	−	2.36156i	−0.00841743	−	0.248930i
$91$	1.32283			0.138670
$92$	−5.41716	−	7.91545i	−0.564778	−	0.825243i
$93$	−7.92714			−0.822007
$94$	0.00126413	+	0.0373844i	0.000130385	+	0.00385591i
$95$	−2.98272	−	0.428851i	−0.306021	−	0.0439991i
$96$	−5.38322	+	0.141117i	−0.549423	+	0.0144027i
$97$	3.67994	+	12.5327i	0.373641	+	1.27250i	0.905019	+	0.425370i	$0.139856\pi$
$97$	3.67994	+	12.5327i	0.373641	+	1.27250i	−0.531378	+	0.847135i	$0.678326\pi$
$98$	1.03870	−	9.49178i	0.104925	−	0.958814i
$99$	3.10697	+	3.58563i	0.312262	+	0.360369i
$100$	7.00565	−	5.20298i	0.700565	−	0.520298i
$101$	−11.8487	−	3.47910i	−1.17899	−	0.346183i	−0.367206	−	0.930139i	$-0.619686\pi$
$101$	−11.8487	−	3.47910i	−1.17899	−	0.346183i	−0.811785	+	0.583956i	$0.801504\pi$
$102$	2.78516	−	0.921120i	0.275772	−	0.0912044i
$103$	−8.76377	−	5.63213i	−0.863520	−	0.554951i	0.0322442	−	0.999480i	$-0.489735\pi$
$103$	−8.76377	−	5.63213i	−0.863520	−	0.554951i	−0.895764	+	0.444529i	$0.853371\pi$
$104$	−4.31799	+	6.14410i	−0.423414	+	0.602479i
$105$	−0.247853	+	0.286037i	−0.0241880	+	0.0279144i
$106$	−7.15620	+	6.63734i	−0.695071	+	0.644675i
$107$	−0.223272	−	1.55289i	−0.0215845	−	0.150124i	0.976179	−	0.216967i	$-0.0696164\pi$
$107$	−0.223272	−	1.55289i	−0.0215845	−	0.150124i	−0.997763	+	0.0668432i	$0.978707\pi$
$108$	9.07370	+	3.42362i	0.873118	+	0.329438i
$109$	4.57990	−	2.09157i	0.438675	−	0.200336i	−0.183820	−	0.982960i	$-0.558846\pi$
$109$	4.57990	−	2.09157i	0.438675	−	0.200336i	0.622495	+	0.782624i	$0.286119\pi$
$110$	0.637125	−	2.47660i	0.0607475	−	0.236135i
$111$	−2.64567	+	5.79321i	−0.251116	+	0.549867i
$112$	−1.49619	−	1.31648i	−0.141377	−	0.124396i
$113$	8.02817	+	12.4921i	0.755227	+	1.17516i	0.979660	+	0.200666i	$0.0643107\pi$
$113$	8.02817	+	12.4921i	0.755227	+	1.17516i	−0.224433	+	0.974490i	$0.572053\pi$
$114$	2.60240	−	4.36720i	0.243737	−	0.409025i
$115$	2.61604	−	2.79332i	0.243947	−	0.260479i
$116$	0.944728	+	1.74587i	0.0877158	+	0.162100i
$117$	4.67663	−	3.00549i	0.432355	−	0.277858i
$118$	5.83432	+	4.71989i	0.537092	+	0.434501i
$119$	0.987533	+	0.450991i	0.0905270	+	0.0413423i
$120$	−0.519506	−	2.08488i	−0.0474241	−	0.190323i
$121$	−2.43654	−	5.33529i	−0.221504	−	0.485026i
$122$	11.6746	−	2.08346i	1.05697	−	0.188628i
$123$	0.267971	−	0.0385283i	0.0241621	−	0.00347398i
$124$	16.2872	−	3.47834i	1.46263	−	0.312365i
$125$	5.64680	+	4.89298i	0.505065	+	0.437642i
$126$	0.657855	+	1.32048i	0.0586064	+	0.117638i
$127$	1.69756	−	2.64146i	0.150634	−	0.234392i	−0.757733	−	0.652565i	$-0.773693\pi$
$127$	1.69756	−	2.64146i	0.150634	−	0.234392i	0.908367	+	0.418173i	$0.137329\pi$
$128$	10.9985	−	2.65204i	0.972138	−	0.234409i
$129$	3.42032	−	11.6485i	0.301143	−	1.02560i
$130$	−2.76607	−	1.15190i	−0.242601	−	0.101028i
$131$	2.71127	−	2.34933i	0.236885	−	0.205262i	−0.528326	−	0.849042i	$-0.677180\pi$
$131$	2.71127	−	2.34933i	0.236885	−	0.205262i	0.765211	+	0.643780i	$0.222635\pi$
$132$	3.44388	+	2.59851i	0.299751	+	0.226172i
$133$	1.80520	−	0.530055i	0.156531	−	0.0459616i
$134$	−1.47677	+	1.02119i	−0.127574	+	0.0882176i
$135$	−0.550690	+	3.83013i	−0.0473959	+	0.329645i
$136$	−5.31822	+	3.11463i	−0.456034	+	0.267078i
$137$		−	5.34815i		−	0.456924i	−0.973553	−	0.228462i	$-0.926630\pi$
$137$		−	5.34815i		−	0.456924i	0.973553	−	0.228462i	$-0.0733696\pi$
$138$	2.65368	+	5.88592i	0.225896	+	0.501043i
$139$			12.6230i			1.07067i	0.844640	+	0.535335i	$0.179814\pi$
$139$			12.6230i			1.07067i	−0.844640	+	0.535335i	$0.820186\pi$
$140$	0.383730	−	0.696449i	0.0324311	−	0.0588607i
$141$	0.00358336	−	0.0249228i	0.000301773	−	0.00209888i
$142$	−8.43497	−	12.1980i	−0.707847	−	1.02364i
$143$	5.77263	−	1.69500i	0.482731	−	0.141743i
$144$	−8.28059	−	1.25482i	−0.690049	−	0.104568i
$145$	−0.598587	+	0.518678i	−0.0497099	+	0.0430739i
$146$	−6.10864	+	14.6687i	−0.505555	+	1.21399i
$147$	−1.81080	+	6.16703i	−0.149353	+	0.508648i
$148$	2.89381	−	13.0636i	0.237870	−	1.07382i
$149$	9.76864	−	15.2003i	0.800278	−	1.24526i	−0.165582	−	0.986196i	$-0.552950\pi$
$149$	9.76864	−	15.2003i	0.800278	−	1.24526i	0.965861	−	0.259062i	$-0.0834133\pi$
$150$	−5.25770	+	2.61935i	−0.429289	+	0.213869i
$151$	10.9577	+	9.49490i	0.891725	+	0.772684i	0.974618	−	0.223875i	$-0.0718706\pi$
$151$	10.9577	+	9.49490i	0.891725	+	0.772684i	−0.0828933	+	0.996558i	$0.526416\pi$
$152$	−3.43063	+	10.1148i	−0.278261	+	0.820417i
$153$	4.51591	−	0.649291i	0.365090	−	0.0524920i
$154$	0.280500	+	1.57178i	0.0226034	+	0.126658i
$155$	2.76047	+	6.04458i	0.221726	+	0.485512i
$156$	3.58798	−	3.56084i	0.287268	−	0.285095i
$157$	−10.0275	−	4.57940i	−0.800280	−	0.365476i	−0.0270763	−	0.999633i	$-0.508620\pi$
$157$	−10.0275	−	4.57940i	−0.800280	−	0.365476i	−0.773204	+	0.634158i	$0.781347\pi$
$158$	7.90250	−	9.76840i	0.628689	−	0.777132i
$159$	5.52709	−	3.55204i	0.438326	−	0.281695i
$160$	1.98220	+	4.05566i	0.156707	+	0.320628i
$161$	−0.761235	+	2.26491i	−0.0599937	+	0.178500i
$162$	2.02308	+	1.20554i	0.158948	+	0.0947165i
$163$	−4.65365	−	7.24122i	−0.364502	−	0.567176i	0.609762	−	0.792584i	$-0.291265\pi$
$163$	−4.65365	−	7.24122i	−0.364502	−	0.567176i	−0.974264	+	0.225408i	$0.927628\pi$
$164$	−0.533668	+	0.196743i	−0.0416725	+	0.0153631i
$165$	−0.715081	+	1.56581i	−0.0556690	+	0.121898i
$166$	−24.7076	−	6.35623i	−1.91769	−	0.493339i
$167$	6.47965	−	2.95915i	0.501410	−	0.228986i	−0.148621	−	0.988894i	$-0.547483\pi$
$167$	6.47965	−	2.95915i	0.501410	−	0.228986i	0.650031	+	0.759908i	$0.274756\pi$
$168$	0.835786	+	1.04932i	0.0644823	+	0.0809570i
$169$	0.846862	+	5.89005i	0.0651432	+	0.453081i
$170$	−1.67224	−	1.80297i	−0.128255	−	0.138281i
$171$	5.17769	−	5.97537i	0.395948	−	0.456948i
$172$	−1.91616	+	25.4340i	−0.146106	+	1.93932i
$173$	15.2629	+	9.80885i	1.16041	+	0.745753i	0.971686	−	0.236277i	$-0.0759272\pi$
$173$	15.2629	+	9.80885i	1.16041	+	0.745753i	0.188728	+	0.982029i	$0.439564\pi$
$174$	−0.419573	−	1.26865i	−0.0318077	−	0.0961759i
$175$	−2.08581	−	0.612450i	−0.157673	−	0.0462969i
$176$	−8.21601	−	3.82779i	−0.619305	−	0.288530i
$177$	−3.30803	−	3.81766i	−0.248646	−	0.286953i
$178$	−14.7842	−	1.61786i	−1.10812	−	0.121264i
$179$	−0.222638	−	0.758237i	−0.0166408	−	0.0566733i	0.950754	−	0.309946i	$-0.100311\pi$
$179$	−0.222638	−	0.758237i	−0.0166408	−	0.0566733i	−0.967395	+	0.253273i	$0.918493\pi$
$180$	−0.225734	−	3.33402i	−0.0168252	−	0.248503i
$181$	−12.7669	−	1.83560i	−0.948956	−	0.136439i	−0.349580	−	0.936907i	$-0.613676\pi$
$181$	−12.7669	−	1.83560i	−0.948956	−	0.136439i	−0.599377	+	0.800467i	$0.704585\pi$
$182$	1.86969	−	0.0632227i	0.138591	−	0.00468638i
$183$	−7.98277			−0.590103
$184$	−8.03495	−	10.9288i	−0.592344	−	0.805685i
$185$	5.33871			0.392510
$186$	−11.2043	+	0.378866i	−0.821537	+	0.0277798i
$187$	4.88732	+	0.702691i	0.357396	+	0.0513858i
$188$	0.00357347	+	0.0527789i	0.000260622	+	0.00384930i
$189$	−0.680647	−	2.31807i	−0.0495098	−	0.168615i
$190$	−4.23629	−	0.463585i	−0.307333	−	0.0336320i
$191$	13.6220	+	15.7206i	0.985655	+	1.13751i	0.990499	+	0.137518i	$0.0439125\pi$
$191$	13.6220	+	15.7206i	0.985655	+	1.13751i	−0.00484444	+	0.999988i	$0.501542\pi$
$192$	−7.60194	+	0.456739i	−0.548623	+	0.0329623i
$193$	−16.8670	−	4.95259i	−1.21411	−	0.356495i	−0.388879	−	0.921289i	$-0.627138\pi$
$193$	−16.8670	−	4.95259i	−1.21411	−	0.356495i	−0.825232	+	0.564794i	$0.808956\pi$
$194$	5.80023	+	17.5379i	0.416432	+	1.25915i
$195$	1.69676	+	1.09044i	0.121507	+	0.0780879i
$196$	1.01446	−	13.4654i	0.0724616	−	0.961813i
$197$	−5.32730	+	6.14803i	−0.379554	+	0.438029i	−0.913096	−	0.407745i	$-0.866315\pi$
$197$	−5.32730	+	6.14803i	−0.379554	+	0.438029i	0.533542	+	0.845774i	$0.320861\pi$
$198$	4.56277	+	4.91946i	0.324262	+	0.349611i
$199$	−2.86340	−	19.9154i	−0.202981	−	1.41176i	−0.795377	−	0.606116i	$-0.792727\pi$
$199$	−2.86340	−	19.9154i	−0.202981	−	1.41176i	0.592396	−	0.805647i	$-0.298182\pi$
$200$	9.65316	−	7.68875i	0.682582	−	0.543677i
$201$	1.09937	−	0.502066i	0.0775437	−	0.0354130i
$202$	−16.9133	−	4.35108i	−1.19002	−	0.306141i
$203$	0.205428	−	0.449824i	0.0144182	−	0.0315715i
$204$	3.89253	−	1.43503i	0.272532	−	0.100472i
$205$	−0.122694	−	0.190915i	−0.00856930	−	0.0133341i
$206$	−12.6559	−	7.54164i	−0.881781	−	0.525451i
$207$	2.45471	+	9.73676i	0.170614	+	0.676752i
$208$	−5.80943	+	8.89048i	−0.402811	+	0.616444i
$209$	7.19845	−	4.62616i	0.497927	−	0.319998i
$210$	−0.336646	+	0.416133i	−0.0232308	+	0.0287159i
$211$	−2.97989	−	1.36087i	−0.205144	−	0.0936863i	0.310193	−	0.950674i	$-0.399606\pi$
$211$	−2.97989	−	1.36087i	−0.205144	−	0.0936863i	−0.515338	+	0.856987i	$0.672333\pi$
$212$	−9.79739	+	9.72327i	−0.672887	+	0.667797i
$213$	4.14702	+	9.08071i	0.284149	+	0.622200i
$214$	−0.389792	−	2.18419i	−0.0266456	−	0.149308i
$215$	−10.0733	+	1.44832i	−0.686991	+	0.0987744i
$216$	12.9885	+	4.40529i	0.883752	+	0.299742i
$217$	−3.13550	−	2.71692i	−0.212851	−	0.184437i
$218$	6.37330	−	3.17513i	0.431654	−	0.215047i
$219$	5.78270	−	8.99805i	0.390758	−	0.608032i
$220$	0.782150	−	3.53089i	0.0527326	−	0.238053i
$221$	1.62993	−	5.55105i	0.109641	−	0.373404i
$222$	−3.46252	+	8.31460i	−0.232389	+	0.558039i
$223$	−10.0385	+	8.69845i	−0.672231	+	0.582491i	−0.922646	−	0.385647i	$-0.873978\pi$
$223$	−10.0385	+	8.69845i	−0.672231	+	0.582491i	0.250416	+	0.968138i	$0.419433\pi$
$224$	−2.17764	−	1.78921i	−0.145500	−	0.119547i
$225$	−8.76554	+	2.57379i	−0.584369	+	0.171586i
$226$	11.9441	+	17.2727i	0.794510	+	1.14896i
$227$	2.17982	−	15.1610i	0.144680	−	1.00627i	−0.780070	−	0.625693i	$-0.784816\pi$
$227$	2.17982	−	15.1610i	0.144680	−	1.00627i	0.924749	−	0.380577i	$-0.124274\pi$
$228$	3.46952	−	6.29700i	0.229775	−	0.417029i
$229$			16.0521i			1.06075i	0.847762	+	0.530377i	$0.177950\pi$
$229$			16.0521i			1.06075i	−0.847762	+	0.530377i	$0.822050\pi$
$230$	3.56402	−	4.07313i	0.235005	−	0.268574i
$231$		−	1.07473i		−	0.0707124i
$232$	1.41873	+	2.42247i	0.0931439	+	0.159043i
$233$	1.34428	−	9.34968i	0.0880668	−	0.612518i	−0.897217	−	0.441590i	$-0.854414\pi$
$233$	1.34428	−	9.34968i	0.0880668	−	0.612518i	0.985284	−	0.170928i	$-0.0546764\pi$
$234$	6.46634	−	4.47149i	0.422718	−	0.292311i
$235$	−0.0202519	+	0.00594649i	−0.00132109	+	0.000387906i
$236$	8.47184	+	6.39227i	0.551470	+	0.416101i
$237$	−6.39191	+	5.53863i	−0.415199	+	0.359772i
$238$	1.41734	+	0.590236i	0.0918725	+	0.0382593i
$239$	−8.24945	+	28.0951i	−0.533613	+	1.81732i	0.0413586	+	0.999144i	$0.486831\pi$
$239$	−8.24945	+	28.0951i	−0.533613	+	1.81732i	−0.574971	+	0.818174i	$0.694987\pi$
$240$	−0.833916	−	2.92195i	−0.0538290	−	0.188611i
$241$	9.11534	−	14.1837i	0.587170	−	0.913655i	−0.412826	−	0.910810i	$-0.635458\pi$
$241$	9.11534	−	14.1837i	0.587170	−	0.913655i	0.999996	−	0.00284487i	$-0.000905551\pi$
$242$	−3.69882	−	7.42448i	−0.237769	−	0.477263i
$243$	−12.1921	−	10.5645i	−0.782121	−	0.677712i
$244$	16.4014	−	3.50275i	1.04999	−	0.224241i
$245$	5.33304	−	0.766775i	0.340715	−	0.0489875i
$246$	0.376910	−	0.0672634i	0.0240309	−	0.00428856i
$247$	−4.16498	−	9.12004i	−0.265012	−	0.580294i
$248$	22.8541	−	5.69473i	1.45124	−	0.361616i
$249$	15.6212	+	7.13396i	0.989953	+	0.452097i
$250$	8.21508	+	6.64589i	0.519567	+	0.420323i
$251$	16.2090	−	10.4169i	1.02310	−	0.657508i	0.0823506	−	0.996603i	$-0.473757\pi$
$251$	16.2090	−	10.4169i	1.02310	−	0.657508i	0.940752	+	0.339095i	$0.110121\pi$
$252$	0.992927	+	1.83494i	0.0625485	+	0.115590i
$253$	−0.419787	+	10.8592i	−0.0263918	+	0.682709i
$254$	2.27310	−	3.81459i	0.142627	−	0.239348i
$255$	0.894918	+	1.39252i	0.0560420	+	0.0872030i
$256$	15.4186	−	4.27407i	0.963661	−	0.267129i
$257$	−3.85095	+	8.43241i	−0.240216	+	0.525999i	−0.990890	−	0.134673i	$-0.957002\pi$
$257$	−3.85095	+	8.43241i	−0.240216	+	0.525999i	0.750674	+	0.660673i	$0.229729\pi$
$258$	4.27758	−	16.6276i	0.266310	−	1.03519i
$259$	−3.03201	+	1.38467i	−0.188400	+	0.0860393i
$260$	−3.96464	−	1.49590i	−0.245876	−	0.0927720i
$261$	−0.295754	−	2.05701i	−0.0183067	−	0.127326i
$262$	3.71985	−	3.45014i	0.229813	−	0.213150i
$263$	−11.2851	+	13.0237i	−0.695872	+	0.803079i	−0.988189	−	0.153243i	$-0.951028\pi$
$263$	−11.2851	+	13.0237i	−0.695872	+	0.803079i	0.292317	+	0.956321i	$0.405574\pi$
$264$	4.99179	+	3.50816i	0.307223	+	0.215912i
$265$	−4.63319	−	2.97757i	−0.284614	−	0.182911i
$266$	2.52615	−	0.835460i	0.154888	−	0.0512253i
$267$	9.60565	+	2.82047i	0.587856	+	0.172610i
$268$	−2.03847	+	1.51394i	−0.124520	+	0.0924786i
$269$	−16.2948	−	18.8052i	−0.993512	−	1.14657i	−0.989198	−	0.146583i	$-0.953173\pi$
$269$	−16.2948	−	18.8052i	−0.993512	−	1.14657i	−0.00431323	−	0.999991i	$-0.501373\pi$
$270$	−0.595293	+	5.43985i	−0.0362284	+	0.331059i
$271$	−0.187271	−	0.637787i	−0.0113759	−	0.0387428i	0.953609	−	0.301047i	$-0.0973359\pi$
$271$	−0.187271	−	0.637787i	−0.0113759	−	0.0387428i	−0.964985	+	0.262304i	$0.915518\pi$
$272$	−7.36794	+	4.65642i	−0.446747	+	0.282337i
$273$	−1.24646	−	0.179213i	−0.0754390	−	0.0108465i
$274$	−0.255607	−	7.55911i	−0.0154418	−	0.456663i
$275$	−9.88694			−0.596205
$276$	4.03204	+	8.19237i	0.242700	+	0.493123i
$277$	−2.81104			−0.168899			−0.0844496	−	0.996428i	$-0.526913\pi$
$277$	−2.81104			−0.168899			−0.0844496	+	0.996428i	$0.526913\pi$
$278$	0.603298	+	17.8414i	0.0361834	+	1.07006i
$279$	−17.2579	−	2.48131i	−1.03320	−	0.148552i
$280$	0.509080	−	1.00271i	0.0304234	−	0.0599231i
$281$	4.86991	+	16.5854i	0.290514	+	0.989401i	0.967388	+	0.253301i	$0.0815163\pi$
$281$	4.86991	+	16.5854i	0.290514	+	0.989401i	−0.676873	+	0.736100i	$0.736665\pi$
$282$	0.00387359	−	0.0353973i	0.000230669	−	0.00210788i
$283$	−5.27077	−	6.08279i	−0.313315	−	0.361584i	0.577149	−	0.816639i	$-0.304165\pi$
$283$	−5.27077	−	6.08279i	−0.313315	−	0.361584i	−0.890464	+	0.455055i	$0.849620\pi$
$284$	−12.5050	−	16.8376i	−0.742036	−	0.999129i
$285$	2.75242	+	0.808183i	0.163039	+	0.0478726i
$286$	8.07806	−	2.67161i	0.477666	−	0.157976i
$287$	0.119198	+	0.0766038i	0.00703603	+	0.00452178i
$288$	−11.7638	−	1.37781i	−0.693189	−	0.0811881i
$289$	−8.02332	+	9.25940i	−0.471960	+	0.544671i
$290$	−0.821256	+	0.761712i	−0.0482258	+	0.0447292i
$291$	−1.76958	−	12.3077i	−0.103735	−	0.721490i
$292$	−7.93292	+	21.0248i	−0.464239	+	1.23039i
$293$	16.5335	−	7.55059i	0.965896	−	0.441110i	0.130918	−	0.991393i	$-0.458207\pi$
$293$	16.5335	−	7.55059i	0.965896	−	0.441110i	0.834978	+	0.550283i	$0.185480\pi$
$294$	−2.26466	+	8.80306i	−0.132077	+	0.513405i
$295$	−1.75908	+	3.85185i	−0.102418	+	0.224263i
$296$	3.46577	−	18.6025i	0.201444	−	1.08125i
$297$	−5.94049	−	9.24358i	−0.344702	−	0.536367i
$298$	13.0806	−	21.9511i	0.757738	−	1.27159i
$299$	12.5242	+	2.29764i	0.724295	+	0.132876i
$300$	−7.30608	+	3.95348i	−0.421817	+	0.228255i
$301$	5.34525	−	3.43519i	0.308095	−	0.198001i
$302$	15.9415	+	12.8964i	0.917328	+	0.742106i
$303$	10.6933	+	4.88347i	0.614314	+	0.280548i
$304$	−4.36545	+	14.4602i	−0.250376	+	0.829352i
$305$	2.77984	+	6.08699i	0.159173	+	0.348540i
$306$	6.35179	−	1.13354i	0.363108	−	0.0648003i
$307$	−12.2135	+	1.75603i	−0.697060	+	0.100222i	−0.481731	−	0.876319i	$-0.659992\pi$
$307$	−12.2135	+	1.75603i	−0.697060	+	0.100222i	−0.215329	+	0.976541i	$0.569083\pi$
$308$	0.471582	+	2.20816i	0.0268709	+	0.125821i
$309$	7.49478	+	6.49426i	0.426363	+	0.369446i
$310$	4.19055	+	8.41151i	0.238007	+	0.477742i
$311$	5.05800	−	7.87041i	0.286813	−	0.446290i	−0.667712	−	0.744419i	$-0.732726\pi$
$311$	5.05800	−	7.87041i	0.286813	−	0.446290i	0.954525	+	0.298130i	$0.0963627\pi$
$312$	4.90108	−	5.20439i	0.277469	−	0.294640i
$313$	0.385671	−	1.31348i	0.0217994	−	0.0742420i	−0.947875	−	0.318643i	$-0.896773\pi$
$313$	0.385671	−	1.31348i	0.0217994	−	0.0742420i	0.969674	+	0.244401i	$0.0785912\pi$
$314$	−14.3918	−	5.99330i	−0.812174	−	0.338221i
$315$	−0.629126	+	0.545140i	−0.0354472	+	0.0307152i
$316$	10.7026	−	14.1844i	0.602067	−	0.797935i
$317$	−0.254796	+	0.0748150i	−0.0143108	+	0.00420203i	−0.288880	−	0.957365i	$-0.593283\pi$
$317$	−0.254796	+	0.0748150i	−0.0143108	+	0.00420203i	0.274569	+	0.961567i	$0.411465\pi$
$318$	7.64225	−	5.28464i	0.428556	−	0.296348i
$319$	0.320078	−	2.22619i	0.0179209	−	0.124643i
$320$	2.99549	+	5.63755i	0.167453	+	0.315149i
$321$			1.49348i			0.0833582i
$322$	−0.967686	+	3.23763i	−0.0539270	+	0.180426i
$323$		−	8.22836i		−	0.457838i
$324$	2.91704	+	1.60723i	0.162058	+	0.0892907i
$325$	−1.64866	+	11.4667i	−0.0914512	+	0.636057i
$326$	−6.92358	−	10.0124i	−0.383462	−	0.554534i
$327$	−4.59885	+	1.35034i	−0.254317	+	0.0746741i
$328$	−0.744886	+	0.303584i	−0.0411295	+	0.0167626i
$329$	0.00995932	−	0.00862980i	0.000549075	−	0.000475776i
$330$	−0.935865	+	2.24730i	−0.0515177	+	0.123710i
$331$	0.647543	−	2.20533i	0.0355922	−	0.121216i	−0.939781	−	0.341778i	$-0.888971\pi$
$331$	0.647543	−	2.20533i	0.0355922	−	0.121216i	0.975373	+	0.220562i	$0.0707891\pi$
$332$	−35.2257	−	7.80307i	−1.93326	−	0.428249i
$333$	−7.57315	+	11.7840i	−0.415006	+	0.645762i
$334$	9.01694	−	4.49217i	0.493385	−	0.245801i
$335$	−0.765667	−	0.663455i	−0.0418329	−	0.0362484i
$336$	1.23146	+	1.44317i	0.0671814	+	0.0787316i
$337$	12.1917	−	1.75291i	0.664126	−	0.0954869i	0.197996	−	0.980203i	$-0.436557\pi$
$337$	12.1917	−	1.75291i	0.664126	−	0.0954869i	0.466130	+	0.884716i	$0.345648\pi$
$338$	1.47847	+	8.28456i	0.0804179	+	0.450621i
$339$	−5.87228	−	12.8585i	−0.318938	−	0.698378i
$340$	−2.44973	−	2.46840i	−0.132855	−	0.133868i
$341$	−17.1641	−	7.83860i	−0.929491	−	0.424484i
$342$	7.03259	−	8.69308i	0.380279	−	0.470068i
$343$	−5.76386	+	3.70421i	−0.311219	+	0.200009i
$344$	−1.49273	+	36.0401i	−0.0804827	+	1.94315i
$345$	−2.84344	+	2.27764i	−0.153086	+	0.122624i
$346$	22.0414	+	13.1344i	1.18495	+	0.706110i
$347$	10.3405	+	16.0902i	0.555109	+	0.863767i	0.999486	−	0.0320734i	$-0.0102110\pi$
$347$	10.3405	+	16.0902i	0.555109	+	0.863767i	−0.444376	+	0.895840i	$0.646575\pi$
$348$	−0.653660	−	1.77306i	−0.0350398	−	0.0950460i
$349$	4.08997	−	8.95578i	0.218931	−	0.479392i	−0.768017	−	0.640429i	$-0.778757\pi$
$349$	4.08997	−	8.95578i	0.218931	−	0.479392i	0.986948	+	0.161037i	$0.0514839\pi$
$350$	−2.97737	−	0.765952i	−0.159147	−	0.0409419i
$351$	−11.7111	+	5.34828i	−0.625093	+	0.285470i
$352$	−11.7955	−	5.01755i	−0.628702	−	0.267436i
$353$	−2.40367	−	16.7179i	−0.127935	−	0.889804i	−0.948167	−	0.317774i	$-0.897065\pi$
$353$	−2.40367	−	16.7179i	−0.127935	−	0.889804i	0.820232	−	0.572031i	$-0.193844\pi$
$354$	−4.85804	−	5.23781i	−0.258202	−	0.278386i
$355$	5.48008	−	6.32435i	0.290852	−	0.335661i
$356$	−20.9734	−	1.58011i	−1.11159	−	0.0837456i
$357$	−0.869420	−	0.558742i	−0.0460146	−	0.0295718i
$358$	−0.350917	−	1.06106i	−0.0185466	−	0.0560785i
$359$	2.24038	+	0.657834i	0.118243	+	0.0347192i	0.340319	−	0.940310i	$-0.389465\pi$
$359$	2.24038	+	0.657834i	0.118243	+	0.0347192i	−0.222076	+	0.975029i	$0.571283\pi$
$360$	−0.478399	−	4.70153i	−0.0252138	−	0.247793i
$361$	3.10422	+	3.58246i	0.163380	+	0.188550i
$362$	−18.1325	−	1.98428i	−0.953025	−	0.104291i
$363$	1.57306	+	5.35736i	0.0825644	+	0.281188i
$364$	2.63961	−	0.178719i	0.138353	−	0.00936740i
$365$	−8.87487	−	1.27601i	−0.464532	−	0.0667896i
$366$	−11.2829	+	0.381525i	−0.589766	+	0.0199426i
$367$	33.1454			1.73018			0.865088	−	0.501620i	$-0.167262\pi$
$367$	33.1454			1.73018			0.865088	+	0.501620i	$0.167262\pi$
$368$	−11.8790	−	15.0629i	−0.619234	−	0.785206i
$369$	0.595449			0.0309978
$370$	7.54577	−	0.255156i	0.392286	−	0.0132649i
$371$	3.40359	+	0.489363i	0.176706	+	0.0254064i
$372$	−15.8181	+	1.07098i	−0.820129	+	0.0555279i
$373$	1.32402	+	4.50920i	0.0685551	+	0.233477i	0.986642	−	0.162901i	$-0.0520851\pi$
$373$	1.32402	+	4.50920i	0.0685551	+	0.233477i	−0.918087	+	0.396378i	$0.870267\pi$
$374$	6.94135	+	0.759605i	0.358929	+	0.0392782i
$375$	−4.65790	−	5.37551i	−0.240533	−	0.277590i
$376$	0.00757325	+	0.0744272i	0.000390560	+	0.00383829i
$377$	−2.52852	−	0.742440i	−0.130225	−	0.0382376i
$378$	−1.07282	−	3.24385i	−0.0551799	−	0.166845i
$379$	−3.87071	−	2.48755i	−0.198825	−	0.127777i	0.437440	−	0.899247i	$-0.355885\pi$
$379$	−3.87071	−	2.48755i	−0.198825	−	0.127777i	−0.636265	+	0.771471i	$0.719522\pi$
$380$	−6.00976	−	0.452766i	−0.308294	−	0.0232264i
$381$	−1.95741	+	2.25898i	−0.100281	+	0.115731i
$382$	20.0048	+	21.5686i	1.02353	+	1.10355i
$383$	3.97603	+	27.6539i	0.203166	+	1.41305i	0.794815	+	0.606852i	$0.207568\pi$
$383$	3.97603	+	27.6539i	0.203166	+	1.41305i	−0.591649	+	0.806195i	$0.701523\pi$
$384$	−10.7228	+	1.00888i	−0.547195	+	0.0514842i
$385$	−0.819503	+	0.374254i	−0.0417657	+	0.0190738i
$386$	−24.0766	−	6.19388i	−1.22547	−	0.315260i
$387$	11.0924	−	24.2890i	0.563860	−	1.23468i
$388$	9.03628	+	24.5110i	0.458747	+	1.24436i
$389$	1.79796	+	2.79768i	0.0911602	+	0.141848i	0.883839	−	0.467792i	$-0.154950\pi$
$389$	1.79796	+	2.79768i	0.0911602	+	0.141848i	−0.792678	+	0.609640i	$0.791314\pi$
$390$	2.45032	+	1.46014i	0.124077	+	0.0739370i
$391$	8.56640	+	5.98514i	0.433222	+	0.302682i
$392$	0.790289	−	19.0805i	0.0399156	−	0.963712i
$393$	−2.87302	+	1.84638i	−0.144925	+	0.0931375i
$394$	−7.23579	+	8.94427i	−0.364534	+	0.450606i
$395$	6.44915	+	2.94523i	0.324492	+	0.148190i
$396$	6.68417	+	6.73512i	0.335892	+	0.338452i
$397$	−1.48915	−	3.26079i	−0.0747384	−	0.163654i	0.868575	−	0.495558i	$-0.165036\pi$
$397$	−1.48915	−	3.26079i	−0.0747384	−	0.163654i	−0.943313	+	0.331904i	$0.892309\pi$
$398$	−4.99897	−	28.0116i	−0.250576	−	1.40410i
$399$	−1.77279	+	0.254889i	−0.0887505	+	0.0127604i
$400$	13.2764	−	11.3287i	0.663818	−	0.566434i
$401$	−15.0238	−	13.0182i	−0.750253	−	0.650098i	0.193368	−	0.981126i	$-0.438059\pi$
$401$	−15.0238	−	13.0182i	−0.750253	−	0.650098i	−0.943621	+	0.331028i	$0.892604\pi$
$402$	1.52986	−	0.762166i	0.0763026	−	0.0380134i
$403$	−11.9532	+	18.5995i	−0.595432	+	0.926510i
$404$	−24.1133	−	5.34150i	−1.19968	−	0.265750i
$405$	−0.374385	+	1.27504i	−0.0186034	+	0.0633572i
$406$	0.268854	−	0.645602i	0.0133430	−	0.0320407i
$407$	−11.4570	+	9.92755i	−0.567902	+	0.492090i
$408$	5.43314	−	2.21432i	0.268981	−	0.109625i
$409$	−6.35757	+	1.86675i	−0.314362	+	0.0923049i	−0.435107	−	0.900379i	$-0.643290\pi$
$409$	−6.35757	+	1.86675i	−0.314362	+	0.0923049i	0.120746	+	0.992683i	$0.461471\pi$
$410$	−0.182541	−	0.263977i	−0.00901504	−	0.0130369i
$411$	−0.724554	+	5.03938i	−0.0357396	+	0.248574i
$412$	−18.2484	−	10.0545i	−0.899035	−	0.495351i
$413$		−	2.64382i		−	0.130094i
$414$	3.93485	+	13.6447i	0.193388	+	0.670599i
$415$		−	14.3957i		−	0.706656i
$416$	−7.78617	+	12.8435i	−0.381748	+	0.629705i
$417$	1.71013	−	11.8942i	0.0837455	−	0.582463i
$418$	9.95323	−	6.88269i	0.486828	−	0.336643i
$419$	21.2138	−	6.22893i	1.03636	−	0.304303i	0.281066	−	0.959688i	$-0.409312\pi$
$419$	21.2138	−	6.22893i	1.03636	−	0.304303i	0.755295	+	0.655385i	$0.227494\pi$
$420$	−0.455929	+	0.604254i	−0.0222471	+	0.0294846i
$421$	27.7373	−	24.0345i	1.35183	−	1.17137i	0.382973	−	0.923760i	$-0.374900\pi$
$421$	27.7373	−	24.0345i	1.35183	−	1.17137i	0.968860	−	0.247610i	$-0.0796452\pi$
$422$	−4.27684	−	1.78104i	−0.208193	−	0.0866999i
$423$	0.0156024	−	0.0531369i	0.000758615	−	0.00258361i
$424$	−13.3830	+	14.2112i	−0.649935	+	0.690156i
$425$	−5.14011	+	7.99816i	−0.249332	+	0.387968i
$426$	6.29542	+	12.6365i	0.305014	+	0.612242i
$427$	−3.15750	−	2.73599i	−0.152802	−	0.132404i
$428$	−0.655325	−	3.06852i	−0.0316763	−	0.148323i
$429$	−5.66899	+	0.815077i	−0.273701	+	0.0393523i
$430$	−14.1684	+	2.52850i	−0.683261	+	0.121935i
$431$	6.72373	+	14.7229i	0.323871	+	0.709178i	0.999609	−	0.0279638i	$-0.00890232\pi$
$431$	6.72373	+	14.7229i	0.323871	+	0.709178i	−0.675738	+	0.737142i	$0.736175\pi$
$432$	18.5685	+	5.60570i	0.893377	+	0.269704i
$433$	7.85168	+	3.58574i	0.377328	+	0.172320i	0.595046	−	0.803692i	$-0.297134\pi$
$433$	7.85168	+	3.58574i	0.377328	+	0.172320i	−0.217718	+	0.976012i	$0.569861\pi$
$434$	−4.56158	−	3.69026i	−0.218963	−	0.177138i
$435$	0.634297	−	0.407638i	0.0304122	−	0.0195447i
$436$	8.85630	−	4.79235i	0.424140	−	0.229512i
$437$	18.0119	−	1.88296i	0.861626	−	0.0900742i
$438$	7.74325	−	12.9943i	0.369987	−	0.620891i
$439$	6.21790	+	9.67524i	0.296764	+	0.461774i	0.957331	−	0.288993i	$-0.0933204\pi$
$439$	6.21790	+	9.67524i	0.296764	+	0.461774i	−0.660567	+	0.750767i	$0.729684\pi$
$440$	0.936742	−	5.02797i	0.0446574	−	0.239699i
$441$	−5.87261	+	12.8592i	−0.279648	+	0.612344i
$442$	2.03845	−	7.92378i	0.0969594	−	0.376896i
$443$	32.6615	−	14.9160i	1.55179	−	0.708681i	0.559074	−	0.829118i	$-0.311157\pi$
$443$	32.6615	−	14.9160i	1.55179	−	0.708681i	0.992721	+	0.120437i	$0.0384296\pi$
$444$	−4.49657	+	11.9174i	−0.213398	+	0.565574i
$445$	−1.19431	−	8.30664i	−0.0566160	−	0.393773i
$446$	−13.7728	+	12.7742i	−0.652161	+	0.604877i
$447$	−11.2640	+	12.9993i	−0.532767	+	0.614846i
$448$	−3.16340	−	2.42480i	−0.149457	−	0.114561i
$449$	2.11888	+	1.36172i	0.0999962	+	0.0642637i	0.589683	−	0.807635i	$-0.299253\pi$
$449$	2.11888	+	1.36172i	0.0999962	+	0.0642637i	−0.489687	+	0.871898i	$0.662889\pi$
$450$	−12.2662	+	4.05675i	−0.578236	+	0.191237i
$451$	0.618318	+	0.181554i	0.0291154	+	0.00854907i
$452$	17.7074	+	23.8425i	0.832885	+	1.12145i
$453$	−9.03872	−	10.4312i	−0.424676	−	0.490102i
$454$	2.35637	−	21.5328i	0.110590	−	1.01058i
$455$	0.297400	+	1.01285i	0.0139423	+	0.0474832i
$456$	4.60289	−	9.06604i	0.215550	−	0.424556i
$457$	30.6788	+	4.41094i	1.43509	+	0.206335i	0.815576	−	0.578650i	$-0.196420\pi$
$457$	30.6788	+	4.41094i	1.43509	+	0.206335i	0.619515	+	0.784985i	$0.287329\pi$
$458$	0.767188	+	22.6882i	0.0358483	+	1.06015i
$459$	−10.5661			−0.493183
$460$	4.84274	−	5.92732i	0.225794	−	0.276363i
$461$	12.8554			0.598734			0.299367	−	0.954138i	$-0.403224\pi$
$461$	12.8554			0.598734			0.299367	+	0.954138i	$0.403224\pi$
$462$	−0.0513654	−	1.51904i	−0.00238973	−	0.0706720i
$463$	4.84005	+	0.695894i	0.224936	+	0.0323410i	0.253861	−	0.967241i	$-0.418299\pi$
$463$	4.84005	+	0.695894i	0.224936	+	0.0323410i	−0.0289250	+	0.999582i	$0.509208\pi$
$464$	2.12101	+	3.35612i	0.0984655	+	0.155804i
$465$	−1.78219	−	6.06958i	−0.0826471	−	0.281470i
$466$	1.45316	−	13.2791i	0.0673164	−	0.615144i
$467$	−13.5104	−	15.5918i	−0.625187	−	0.721504i	0.351496	−	0.936189i	$-0.385673\pi$
$467$	−13.5104	−	15.5918i	−0.625187	−	0.721504i	−0.976683	+	0.214685i	$0.931127\pi$
$468$	8.92585	−	6.62908i	0.412598	−	0.306429i
$469$	0.606921	+	0.178208i	0.0280250	+	0.00822888i
$470$	−0.0283399	+	0.00937271i	−0.00130722	+	0.000432331i
$471$	8.82815	+	5.67351i	0.406780	+	0.261421i
$472$	12.2797	+	8.62997i	0.565217	+	0.397227i
$473$	18.9243	−	21.8397i	0.870138	−	1.00419i
$474$	−8.76966	+	8.13382i	−0.402804	+	0.373599i
$475$	2.34483	+	16.3087i	0.107588	+	0.748292i
$476$	2.03148	+	0.766503i	0.0931130	+	0.0351326i
$477$	13.1447	−	6.00297i	0.601853	−	0.274857i
$478$	−10.3171	+	40.1040i	−0.471891	+	1.83431i
$479$	10.6737	−	23.3722i	0.487695	−	1.06790i	−0.492580	−	0.870267i	$-0.663946\pi$
$479$	10.6737	−	23.3722i	0.487695	−	1.06790i	0.980275	−	0.197636i	$-0.0633265\pi$
$480$	−1.31831	−	4.09005i	−0.0601724	−	0.186684i
$481$	9.60331	+	14.9430i	0.437873	+	0.681344i
$482$	12.2058	−	20.4830i	0.555958	−	0.932977i
$483$	1.02413	−	2.03102i	0.0465996	−	0.0924147i
$484$	−5.58277	−	10.3170i	−0.253762	−	0.468955i
$485$	−8.76861	+	5.63524i	−0.398162	+	0.255883i
$486$	−17.7372	−	14.3492i	−0.804578	−	0.650893i
$487$	−16.3611	−	7.47188i	−0.741394	−	0.338583i	0.00865782	−	0.999963i	$-0.497244\pi$
$487$	−16.3611	−	7.47188i	−0.741394	−	0.338583i	−0.750052	+	0.661379i	$0.769971\pi$
$488$	23.0145	−	5.73469i	1.04182	−	0.259597i
$489$	3.40396	+	7.45362i	0.153932	+	0.337064i
$490$	7.50110	−	1.33865i	0.338865	−	0.0604740i
$491$	−6.75097	+	0.970643i	−0.304667	+	0.0438045i	−0.292953	−	0.956127i	$-0.594638\pi$
$491$	−6.75097	+	0.970643i	−0.304667	+	0.0438045i	−0.0117142	+	0.999931i	$0.503729\pi$
$492$	0.529512	−	0.113084i	0.0238722	−	0.00509824i
$493$	−1.63450	−	1.41630i	−0.0736141	−	0.0637870i
$494$	−6.32269	−	12.6913i	−0.284471	−	0.571007i
$495$	−2.04690	+	3.18504i	−0.0920013	+	0.143157i
$496$	32.0300	−	9.14125i	1.43819	−	0.410454i
$497$	−1.47198	+	5.01311i	−0.0660274	+	0.224869i
$498$	22.4201	+	9.33659i	1.00467	+	0.418383i
$499$	−21.2911	+	18.4489i	−0.953122	+	0.825885i	−0.984814	−	0.173613i	$-0.944456\pi$
$499$	−21.2911	+	18.4489i	−0.953122	+	0.825885i	0.0316923	+	0.999498i	$0.489910\pi$
$500$	11.9289	+	9.00071i	0.533475	+	0.402524i
$501$	−6.50645	+	1.91047i	−0.290687	+	0.0853533i
$502$	22.4120	−	15.4980i	1.00030	−	0.691708i
$503$	−0.557821	+	3.87973i	−0.0248720	+	0.172989i	−0.998471	−	0.0552761i	$-0.982396\pi$
$503$	−0.557821	+	3.87973i	−0.0248720	+	0.172989i	0.973599	+	0.228265i	$0.0733052\pi$
$504$	1.49111	+	2.54606i	0.0664191	+	0.113410i
$505$		−	9.85439i		−	0.438515i
$506$	−0.0743315	+	15.3685i	−0.00330444	+	0.683211i
$507$		−	5.66473i		−	0.251579i
$508$	3.03050	−	5.50020i	0.134457	−	0.244032i
$509$	−4.77147	+	33.1863i	−0.211492	+	1.47096i	0.556688	+	0.830722i	$0.312072\pi$
$509$	−4.77147	+	33.1863i	−0.211492	+	1.47096i	−0.768179	+	0.640235i	$0.778837\pi$
$510$	1.33144	+	1.92542i	0.0589570	+	0.0852592i
$511$	5.37124	−	1.57714i	0.237610	−	0.0697685i
$512$	21.5884	−	6.77790i	0.954083	−	0.299544i
$513$	−13.8385	+	11.9912i	−0.610987	+	0.529423i
$514$	−5.03994	+	12.1025i	−0.222302	+	0.533817i
$515$	2.34208	−	7.97639i	0.103204	−	0.351482i
$516$	5.25126	−	23.7060i	0.231174	−	1.04360i
$517$	0.0324033	−	0.0504205i	0.00142509	−	0.00221749i
$518$	−4.21928	+	2.10201i	−0.185384	+	0.0923572i
$519$	−13.0528	−	11.3103i	−0.572954	−	0.496468i
$520$	−5.67513	−	1.92483i	−0.248871	−	0.0844096i
$521$	−27.7043	+	3.98328i	−1.21375	+	0.174510i	−0.719301	−	0.694698i	$-0.755538\pi$
$521$	−27.7043	+	3.98328i	−1.21375	+	0.174510i	−0.494446	+	0.869209i	$0.664629\pi$
$522$	−0.516332	−	2.89326i	−0.0225992	−	0.126634i
$523$	−13.0360	−	28.5449i	−0.570025	−	1.24818i	−0.946784	−	0.321869i	$-0.895689\pi$
$523$	−13.0360	−	28.5449i	−0.570025	−	1.24818i	0.376760	−	0.926311i	$-0.377038\pi$
$524$	5.09276	−	5.05423i	0.222478	−	0.220795i
$525$	1.88242	+	0.859672i	0.0821555	+	0.0375191i
$526$	−15.3280	+	18.9472i	−0.668334	+	0.826137i
$527$	−15.2646	+	9.80995i	−0.664935	+	0.427328i
$528$	7.22309	+	4.71988i	0.314345	+	0.205406i
$529$	−11.1412	+	20.1215i	−0.484398	+	0.874848i
$530$	−6.69088	−	3.98707i	−0.290633	−	0.173187i
$531$	−6.00680	−	9.34676i	−0.260673	−	0.405615i
$532$	3.53054	−	1.30158i	0.153068	−	0.0564305i
$533$	0.313669	−	0.686838i	0.0135865	−	0.0297503i
$534$	13.7115	+	3.52739i	0.593354	+	0.152645i
$535$	1.13881	−	0.520076i	0.0492349	−	0.0224848i
$536$	−2.80883	+	2.23724i	−0.121323	+	0.0966340i
$537$	0.107061	+	0.744624i	0.00462001	+	0.0321329i
$538$	−23.9299	−	25.8006i	−1.03169	−	1.11234i
$539$	−10.0190	+	11.5625i	−0.431547	+	0.498032i
$540$	−0.581401	+	7.71717i	−0.0250195	+	0.332094i
$541$	−11.4157	−	7.33642i	−0.490799	−	0.315417i	0.271728	−	0.962374i	$-0.412405\pi$
$541$	−11.4157	−	7.33642i	−0.490799	−	0.315417i	−0.762527	+	0.646957i	$0.776041\pi$
$542$	−0.295172	−	0.892501i	−0.0126787	−	0.0383362i
$543$	11.7811	+	3.45925i	0.505577	+	0.148451i
$544$	−10.1913	+	6.93355i	−0.436950	+	0.297273i
$545$	2.63111	+	3.03647i	0.112705	+	0.130068i
$546$	−1.77031	−	0.193729i	−0.0757624	−	0.00829082i
$547$	4.59700	+	15.6560i	0.196554	+	0.669400i	0.997500	+	0.0706643i	$0.0225119\pi$
$547$	4.59700	+	15.6560i	0.196554	+	0.669400i	−0.800947	+	0.598736i	$0.795670\pi$
$548$	−0.722553	−	10.6719i	−0.0308660	−	0.455880i
$549$	−17.3790	−	2.49872i	−0.741718	−	0.106643i
$550$	−13.9743	+	0.472532i	−0.595864	+	0.0201488i
$551$	−3.74804			−0.159672
$552$	6.09045	+	11.3864i	0.259227	+	0.484639i
$553$	−4.42654			−0.188236
$554$	−3.97314	+	0.134350i	−0.168803	+	0.00570797i
$555$	−5.03049	−	0.723275i	−0.213532	−	0.0307013i
$556$	1.70541	+	25.1883i	0.0723255	+	1.06822i
$557$	−7.86987	−	26.8023i	−0.333457	−	1.13565i	−0.940163	−	0.340724i	$-0.889328\pi$
$557$	−7.86987	−	26.8023i	−0.333457	−	1.13565i	0.606706	−	0.794926i	$-0.292490\pi$
$558$	−24.5110	−	2.68228i	−1.03763	−	0.113550i
$559$	−22.1737	−	25.5898i	−0.937847	−	1.08233i
$560$	0.671614	−	1.44156i	0.0283809	−	0.0609170i
$561$	−4.50996	−	1.32424i	−0.190411	−	0.0559096i
$562$	7.67583	+	23.2091i	0.323785	+	0.979017i
$563$	−12.1628	−	7.81658i	−0.512602	−	0.329430i	0.258637	−	0.965975i	$-0.416727\pi$
$563$	−12.1628	−	7.81658i	−0.512602	−	0.329430i	−0.771240	+	0.636545i	$0.780363\pi$
$564$	0.00378319	−	0.0502159i	0.000159301	−	0.00211447i
$565$	−7.75991	+	8.95542i	−0.326462	+	0.376757i
$566$	−7.74045	−	8.34554i	−0.325355	−	0.350789i
$567$	−0.118076	−	0.821233i	−0.00495871	−	0.0344886i
$568$	−18.4794	−	23.2007i	−0.775378	−	0.973481i
$569$	−22.3573	+	10.2102i	−0.937267	+	0.428036i	−0.824676	−	0.565606i	$-0.808642\pi$
$569$	−22.3573	+	10.2102i	−0.937267	+	0.428036i	−0.112592	+	0.993641i	$0.535915\pi$
$570$	3.92891	+	1.01074i	0.164564	+	0.0423353i
$571$	−7.36756	+	16.1327i	−0.308323	+	0.675133i	−0.998838	−	0.0481846i	$-0.984656\pi$
$571$	−7.36756	+	16.1327i	−0.308323	+	0.675133i	0.690516	+	0.723318i	$0.257384\pi$
$572$	11.2899	−	4.16215i	0.472054	−	0.174028i
$573$	−10.7058	−	16.6585i	−0.447240	−	0.695919i
$574$	0.172136	+	0.102575i	0.00718482	+	0.00428141i
$575$	−18.6842	−	9.42142i	−0.779186	−	0.392900i
$576$	−16.6929	−	1.38517i	−0.695536	−	0.0577153i
$577$	−29.2866	+	18.8214i	−1.21922	+	0.783543i	−0.982177	−	0.187957i	$-0.939814\pi$
$577$	−29.2866	+	18.8214i	−1.21922	+	0.783543i	−0.237040	+	0.971500i	$0.576177\pi$
$578$	−10.8977	+	13.4708i	−0.453283	+	0.560310i
$579$	15.2222	+	6.95175i	0.632613	+	0.288905i
$580$	−1.12436	+	1.11586i	−0.0466867	+	0.0463335i
$581$	3.73373	+	8.17572i	0.154901	+	0.339186i
$582$	−3.08936	−	17.3112i	−0.128058	−	0.717573i
$583$	15.4798	−	2.22566i	0.641109	−	0.0921775i
$584$	−10.2076	+	30.0958i	−0.422393	+	1.24537i
$585$	3.35262	+	2.90506i	0.138614	+	0.120110i
$586$	23.0076	−	11.4622i	0.950437	−	0.473501i
$587$	−10.8878	+	16.9418i	−0.449389	+	0.699263i	−0.989852	−	0.142105i	$-0.954613\pi$
$587$	−10.8878	+	16.9418i	−0.449389	+	0.699263i	0.540462	+	0.841368i	$0.318249\pi$
$588$	−2.78015	+	12.5505i	−0.114651	+	0.517575i
$589$	−8.85917	+	30.1715i	−0.365036	+	1.24320i
$590$	−2.30220	+	5.52830i	−0.0947801	+	0.227596i
$591$	5.85265	−	5.07135i	0.240746	−	0.208607i
$592$	4.00946	−	26.4586i	0.164788	−	1.08744i
$593$	20.8742	−	6.12922i	0.857201	−	0.251697i	0.176538	−	0.984294i	$-0.443510\pi$
$593$	20.8742	−	6.12922i	0.857201	−	0.251697i	0.680663	+	0.732597i	$0.261692\pi$
$594$	−8.83810	−	12.7810i	−0.362632	−	0.524411i
$595$	−0.123292	+	0.857517i	−0.00505449	+	0.0351548i
$596$	17.4390	−	31.6509i	0.714331	−	1.29647i
$597$			19.1535i			0.783900i
$598$	17.8116	+	2.64892i	0.728372	+	0.108322i
$599$		−	35.6197i		−	1.45538i	−0.685906	−	0.727690i	$-0.740594\pi$
$599$		−	35.6197i		−	1.45538i	0.685906	−	0.727690i	$-0.259406\pi$
$600$	−10.1375	+	5.93706i	−0.413862	+	0.242379i
$601$	3.27059	−	22.7474i	0.133410	−	0.927887i	−0.807654	−	0.589657i	$-0.799263\pi$
$601$	3.27059	−	22.7474i	0.133410	−	0.927887i	0.941064	−	0.338230i	$-0.109828\pi$
$602$	7.39083	−	5.11078i	0.301228	−	0.208300i
$603$	2.55056	−	0.748911i	0.103867	−	0.0304980i
$604$	23.1481	+	17.4660i	0.941884	+	0.710681i
$605$	3.53729	−	3.06508i	0.143811	−	0.124613i
$606$	15.3474	+	6.39125i	0.623445	+	0.259627i
$607$	10.8220	−	36.8562i	0.439250	−	1.49595i	−0.381343	−	0.924433i	$-0.624538\pi$
$607$	10.8220	−	36.8562i	0.439250	−	1.49595i	0.820593	−	0.571513i	$-0.193643\pi$
$608$	−5.47904	+	20.6468i	−0.222205	+	0.837339i
$609$	−0.254509	+	0.396023i	−0.0103132	+	0.0160477i
$610$	4.21995	+	8.47053i	0.170861	+	0.342962i
$611$	−0.0530734	−	0.0459884i	−0.00214712	−	0.00186049i
$612$	8.92348	−	1.90573i	0.360710	−	0.0770346i
$613$	12.1079	−	1.74086i	0.489034	−	0.0703125i	0.106613	−	0.994301i	$-0.465999\pi$
$613$	12.1079	−	1.74086i	0.489034	−	0.0703125i	0.382421	+	0.923988i	$0.375090\pi$
$614$	−17.1787	+	3.06571i	−0.693275	+	0.123722i
$615$	0.0897455	+	0.196515i	0.00361889	+	0.00792426i
$616$	0.772072	+	3.09848i	0.0311077	+	0.124841i
$617$	30.5444	+	13.9492i	1.22967	+	0.561572i	0.920988	−	0.389592i	$-0.127384\pi$
$617$	30.5444	+	13.9492i	1.22967	+	0.561572i	0.308684	+	0.951164i	$0.400111\pi$
$618$	10.9035	+	8.82082i	0.438605	+	0.354826i
$619$	−21.7292	+	13.9645i	−0.873369	+	0.561280i	−0.898782	−	0.438397i	$-0.855546\pi$
$619$	−21.7292	+	13.9645i	−0.873369	+	0.561280i	0.0254125	+	0.999677i	$0.491910\pi$
$620$	6.32496	+	11.6886i	0.254017	+	0.469425i
$621$	−2.41792	−	23.1292i	−0.0970279	−	0.928143i
$622$	6.77286	−	11.3658i	0.271567	−	0.455728i
$623$	2.83273	+	4.40782i	0.113491	+	0.176595i
$624$	6.67848	−	7.59015i	0.267353	−	0.303849i
$625$	6.58581	−	14.4209i	0.263432	−	0.576837i
$626$	0.482334	−	1.87491i	0.0192779	−	0.0749363i
$627$	−7.40960	+	3.38385i	−0.295911	+	0.135138i
$628$	−20.6278	−	7.78313i	−0.823140	−	0.310581i
$629$	2.07465	+	14.4295i	0.0827216	+	0.575342i
$630$	−0.863156	+	0.800573i	−0.0343889	+	0.0318956i
$631$	4.03611	−	4.65792i	0.160675	−	0.185429i	−0.669703	−	0.742629i	$-0.733579\pi$
$631$	4.03611	−	4.65792i	0.160675	−	0.185429i	0.830378	+	0.557200i	$0.188124\pi$
$632$	14.4492	−	20.5598i	0.574757	−	0.817826i
$633$	2.62349	+	1.68601i	0.104274	+	0.0670130i
$634$	−0.356555	+	0.117922i	−0.0141606	+	0.00468326i
$635$	2.40414	+	0.705918i	0.0954052	+	0.0280135i
$636$	10.5490	−	7.83459i	0.418296	−	0.310662i
$637$	11.7393	+	13.5479i	0.465128	+	0.536786i
$638$	0.346002	−	3.16181i	0.0136984	−	0.125177i
$639$	6.18594	+	21.0674i	0.244712	+	0.833413i
$640$	4.50328	+	7.82498i	0.178008	+	0.309310i
$641$	30.1488	+	4.33474i	1.19081	+	0.171212i	0.709091	−	0.705117i	$-0.249105\pi$
$641$	30.1488	+	4.33474i	1.19081	+	0.171212i	0.481714	+	0.876329i	$0.340014\pi$
$642$	0.0713789	+	2.11090i	0.00281710	+	0.0833106i
$643$	34.2832			1.35200			0.675998	−	0.736903i	$-0.263713\pi$
$643$	34.2832			1.35200			0.675998	+	0.736903i	$0.263713\pi$
$644$	−1.21300	+	4.62233i	−0.0477987	+	0.182145i
$645$	9.68791			0.381461
$646$	−0.393263	−	11.6300i	−0.0154727	−	0.457577i
$647$	14.2097	+	2.04304i	0.558639	+	0.0803202i	0.415850	−	0.909433i	$-0.363484\pi$
$647$	14.2097	+	2.04304i	0.558639	+	0.0803202i	0.142789	+	0.989753i	$0.454393\pi$
$648$	4.19978	+	2.13226i	0.164983	+	0.0837630i
$649$	−3.38764	−	11.5372i	−0.132976	−	0.452876i
$650$	−1.78219	+	16.2859i	−0.0699033	+	0.638784i
$651$	2.58639	+	2.98485i	0.101369	+	0.116986i
$652$	−10.2644	−	13.8206i	−0.401983	−	0.541258i
$653$	30.0163	+	8.81357i	1.17463	+	0.344902i	0.810100	−	0.586291i	$-0.199413\pi$
$653$	30.0163	+	8.81357i	1.17463	+	0.344902i	0.364527	+	0.931193i	$0.381231\pi$
$654$	−6.43550	+	2.12838i	−0.251648	+	0.0832262i
$655$	2.40837	+	1.54776i	0.0941027	+	0.0604761i
$656$	−1.03832	+	0.464688i	−0.0405395	+	0.0181430i
$657$	15.4058	−	17.7793i	0.601039	−	0.693636i
$658$	0.0136641	−	0.0126734i	0.000532682	−	0.000494060i
$659$	5.65536	+	39.3339i	0.220302	+	1.53223i	0.736899	+	0.676003i	$0.236289\pi$
$659$	5.65536	+	39.3339i	0.220302	+	1.53223i	−0.516597	+	0.856228i	$0.672802\pi$
$660$	−1.21535	+	3.22108i	−0.0473074	+	0.125380i
$661$	4.09903	−	1.87196i	0.159434	−	0.0728110i	−0.334100	−	0.942538i	$-0.608432\pi$
$661$	4.09903	−	1.87196i	0.159434	−	0.0728110i	0.493534	+	0.869727i	$0.335705\pi$
$662$	0.809840	−	3.14797i	0.0314753	−	0.122349i
$663$	−2.28787	+	5.00974i	−0.0888536	+	0.194562i
$664$	−50.1612	−	9.34535i	−1.94663	−	0.362670i
$665$	0.811695	+	1.26302i	0.0314762	+	0.0489779i
$666$	−10.1407	+	17.0176i	−0.392945	+	0.659418i
$667$	2.72625	−	3.90202i	0.105561	−	0.151087i
$668$	12.5299	−	6.78021i	0.484796	−	0.262334i
$669$	10.6374	−	6.83626i	0.411267	−	0.264305i
$670$	−1.11391	−	0.901137i	−0.0430340	−	0.0348139i
$671$	−17.2846	−	7.89360i	−0.667264	−	0.304729i
$672$	1.80952	+	1.98093i	0.0698038	+	0.0764162i
$673$	−17.6603	−	38.6707i	−0.680755	−	1.49064i	−0.861842	−	0.507177i	$-0.830689\pi$
$673$	−17.6603	−	38.6707i	−0.680755	−	1.49064i	0.181087	−	0.983467i	$-0.442038\pi$
$674$	17.1481	−	3.06025i	0.660520	−	0.117877i
$675$	20.9421	−	3.01101i	0.806060	−	0.115894i
$676$	2.48562	+	11.6388i	0.0956008	+	0.447645i
$677$	−11.3624	−	9.84562i	−0.436694	−	0.378398i	0.408587	−	0.912719i	$-0.366022\pi$
$677$	−11.3624	−	9.84562i	−0.436694	−	0.378398i	−0.845281	+	0.534322i	$0.820567\pi$
$678$	−8.91447	−	17.8936i	−0.342358	−	0.687200i
$679$	3.51836	−	5.47468i	0.135022	−	0.210099i
$680$	−3.58043	−	3.37177i	−0.137303	−	0.129301i
$681$	−4.10794	+	13.9904i	−0.157417	+	0.536112i
$682$	−24.6345	−	10.2588i	−0.943305	−	0.392829i
$683$	8.65735	−	7.50164i	0.331264	−	0.287042i	−0.473308	−	0.880897i	$-0.656940\pi$
$683$	8.65735	−	7.50164i	0.331264	−	0.287042i	0.804572	+	0.593855i	$0.202395\pi$
$684$	9.52443	−	12.6230i	0.364176	−	0.482651i
$685$	4.09492	−	1.20238i	0.156459	−	0.0459405i
$686$	−7.96964	+	5.51103i	−0.304282	+	0.210412i
$687$	2.17470	−	15.1254i	0.0829700	−	0.577069i
$688$	−0.387350	+	51.0106i	−0.0147676	+	1.94476i
$689$		−	18.3243i		−	0.698101i
$690$	−3.91007	+	3.35513i	−0.148854	+	0.127727i
$691$			40.3727i			1.53585i	0.640541	+	0.767924i	$0.278710\pi$
$691$			40.3727i			1.53585i	−0.640541	+	0.767924i	$0.721290\pi$
$692$	31.7812	+	17.5108i	1.20814	+	0.665661i
$693$	0.336408	−	2.33977i	0.0127791	−	0.0888804i
$694$	15.3844	+	22.2478i	0.583983	+	0.844513i
$695$	−9.66506	+	2.83792i	−0.366617	+	0.107648i
$696$	−1.00863	−	2.47481i	−0.0382319	−	0.0938075i
$697$	0.468327	−	0.405808i	0.0177391	−	0.0153711i
$698$	5.35275	−	12.8536i	0.202605	−	0.486517i
$699$	−2.53334	+	8.62777i	−0.0958198	+	0.326332i
$700$	−4.24484	−	0.940302i	−0.160440	−	0.0355401i
$701$	−11.1576	+	17.3615i	−0.421415	+	0.655734i	−0.985440	−	0.170023i	$-0.945616\pi$
$701$	−11.1576	+	17.3615i	−0.421415	+	0.655734i	0.564025	+	0.825758i	$0.309252\pi$
$702$	−16.2969	+	8.11901i	−0.615088	+	0.306432i
$703$	19.0928	+	16.5440i	0.720099	+	0.623970i
$704$	−16.9116	−	6.52808i	−0.637381	−	0.246036i
$705$	0.0198883	−	0.00285950i	0.000749036	−	0.000107695i
$706$	−4.19637	−	23.5143i	−0.157933	−	0.884973i
$707$	2.55588	+	5.59659i	0.0961236	+	0.210481i
$708$	−7.11672	−	7.17096i	−0.267463	−	0.269501i
$709$	−26.9300	−	12.2985i	−1.01138	−	0.461880i	−0.160382	−	0.987055i	$-0.551273\pi$
$709$	−26.9300	−	12.2985i	−1.01138	−	0.461880i	−0.850994	+	0.525175i	$0.824000\pi$
$710$	7.44331	−	9.20078i	0.279342	−	0.345299i
$711$	−15.6493	+	10.0572i	−0.586894	+	0.377174i
$712$	−29.7195	−	1.23094i	−1.11378	−	0.0461314i
$713$	−24.9671	−	31.1693i	−0.935025	−	1.16730i
$714$	−1.25555	−	0.748177i	−0.0469877	−	0.0279998i
$715$	2.59562	+	4.03886i	0.0970706	+	0.151045i
$716$	−0.546700	−	1.48293i	−0.0204311	−	0.0554197i
$717$	11.5794	−	25.3554i	0.432442	−	0.946915i
$718$	3.19800	+	0.822711i	0.119348	+	0.0307033i
$719$	16.1469	−	7.37405i	0.602178	−	0.275006i	−0.0909090	−	0.995859i	$-0.528977\pi$
$719$	16.1469	−	7.37405i	0.602178	−	0.275006i	0.693087	+	0.720854i	$0.256250\pi$
$720$	−0.900874	−	6.62231i	−0.0335736	−	0.246799i
$721$	0.738656	+	5.13747i	0.0275090	+	0.191329i
$722$	4.55873	+	4.91510i	0.169658	+	0.182921i
$723$	−10.5106	+	12.1299i	−0.390895	+	0.451117i
$724$	−25.7235	−	1.93797i	−0.956005	−	0.0720241i
$725$	3.64319	+	2.34133i	0.135305	+	0.0869549i
$726$	2.47942	+	7.49694i	0.0920200	+	0.278237i
$727$	37.8313	+	11.1083i	1.40309	+	0.411983i	0.893742	−	0.448581i	$-0.148070\pi$
$727$	37.8313	+	11.1083i	1.40309	+	0.411983i	0.509343	+	0.860564i	$0.329888\pi$
$728$	3.72230	−	0.378758i	0.137958	−	0.0140377i
$729$	6.78538	+	7.83075i	0.251310	+	0.290028i
$730$	−12.6048	−	1.37936i	−0.466524	−	0.0510525i
$731$	−7.82903	−	26.6632i	−0.289567	−	0.986175i
$732$	−15.9291	+	1.07850i	−0.588755	+	0.0398625i
$733$	8.73941	+	1.25654i	0.322797	+	0.0464113i	0.301809	−	0.953368i	$-0.402410\pi$
$733$	8.73941	+	1.25654i	0.322797	+	0.0464113i	0.0209886	+	0.999780i	$0.493319\pi$
$734$	46.8479	−	1.58414i	1.72919	−	0.0584715i
$735$	−5.12902			−0.189187
$736$	−17.5097	−	20.7222i	−0.645416	−	0.763831i
$737$	2.87686			0.105970
$738$	0.841611	−	0.0284586i	0.0309801	−	0.00104758i
$739$	12.5134	+	1.79915i	0.460313	+	0.0661830i	0.368570	−	0.929600i	$-0.379847\pi$
$739$	12.5134	+	1.79915i	0.460313	+	0.0661830i	0.0917422	+	0.995783i	$0.470756\pi$
$740$	10.6530	−	0.721278i	0.391613	−	0.0265147i
$741$	2.68896	+	9.15777i	0.0987815	+	0.336419i
$742$	4.83405	+	0.528998i	0.177463	+	0.0194201i
$743$	4.87338	+	5.62418i	0.178787	+	0.206331i	0.838069	−	0.545565i	$-0.183685\pi$
$743$	4.87338	+	5.62418i	0.178787	+	0.206331i	−0.659281	+	0.751896i	$0.729139\pi$
$744$	−22.3062	+	2.26974i	−0.817784	+	0.0832126i
$745$	13.8346	+	4.06221i	0.506861	+	0.148828i
$746$	2.08689	+	6.31005i	0.0764064	+	0.231027i
$747$	31.7753	+	20.4208i	1.16260	+	0.747157i
$748$	9.84725	+	0.741878i	0.360051	+	0.0271257i
$749$	−0.511872	+	0.590732i	−0.0187034	+	0.0215849i
$750$	−6.84042	−	7.37515i	−0.249777	−	0.269302i
$751$	−5.53847	−	38.5209i	−0.202102	−	1.40565i	−0.798034	−	0.602612i	$-0.794127\pi$
$751$	−5.53847	−	38.5209i	−0.202102	−	1.40565i	0.595932	−	0.803035i	$-0.296783\pi$
$752$	0.0142612	+	0.104834i	0.000520053	+	0.00382290i
$753$	−16.6844	+	7.61953i	−0.608015	+	0.277671i
$754$	−3.60931	−	0.928522i	−0.131443	−	0.0338148i
$755$	−4.80644	+	10.5246i	−0.174924	+	0.383031i
$756$	−1.67136	−	4.53360i	−0.0607869	−	0.164885i
$757$	−13.6875	−	21.2981i	−0.497479	−	0.774093i	0.498189	−	0.867068i	$-0.333999\pi$
$757$	−13.6875	−	21.2981i	−0.497479	−	0.774093i	−0.995668	+	0.0929754i	$0.970362\pi$
$758$	−5.58977	−	3.33092i	−0.203029	−	0.120985i
$759$	1.86672	−	10.1753i	0.0677577	−	0.369342i
$760$	−8.51586	−	0.352715i	−0.308903	−	0.0127943i
$761$	−6.82462	+	4.38591i	−0.247392	+	0.158989i	−0.658461	−	0.752615i	$-0.728792\pi$
$761$	−6.82462	+	4.38591i	−0.247392	+	0.158989i	0.411068	+	0.911604i	$0.365156\pi$
$762$	−2.65866	+	3.28640i	−0.0963129	+	0.119054i
$763$	−2.28184	−	1.04208i	−0.0826080	−	0.0377258i
$764$	29.3057	+	29.5291i	1.06024	+	1.06833i
$765$	1.51242	+	3.31173i	0.0546815	+	0.119736i
$766$	6.94142	+	38.8961i	0.250804	+	1.40537i
$767$	−13.9455	+	2.00507i	−0.503544	+	0.0723988i
$768$	−15.1074	+	1.93844i	−0.545143	+	0.0699474i
$769$	9.48760	+	8.22105i	0.342132	+	0.296459i	0.808930	−	0.587905i	$-0.200047\pi$
$769$	9.48760	+	8.22105i	0.342132	+	0.296459i	−0.466798	+	0.884364i	$0.654593\pi$
$770$	−1.14040	+	0.568140i	−0.0410973	+	0.0204744i
$771$	4.77102	−	7.42386i	0.171824	−	0.267364i
$772$	−34.3260	−	7.60377i	−1.23542	−	0.273666i
$773$	−0.188841	+	0.643132i	−0.00679213	+	0.0231319i	−0.962819	−	0.270146i	$-0.912928\pi$
$773$	−0.188841	+	0.643132i	−0.00679213	+	0.0231319i	0.956027	+	0.293278i	$0.0947462\pi$
$774$	14.5172	−	34.8604i	0.521812	−	1.25303i
$775$	27.4589	−	23.7933i	0.986354	−	0.854680i
$776$	13.9434	+	34.2121i	0.500539	+	1.22814i
$777$	3.04455	−	0.893961i	0.109223	−	0.0320707i
$778$	2.67496	+	3.86833i	0.0959019	+	0.138686i
$779$	0.152834	−	1.06298i	0.00547584	−	0.0380853i
$780$	3.53308	+	1.94666i	0.126505	+	0.0697015i
$781$			23.7626i			0.850293i
$782$	12.3939	+	8.05001i	0.443203	+	0.287868i
$783$			4.81289i			0.171999i
$784$	0.205073	−	27.0063i	0.00732402	−	0.964511i
$785$	1.25192	−	8.70729i	0.0446829	−	0.310777i
$786$	−3.97250	+	2.74700i	−0.141694	+	0.0979821i
$787$	−44.0025	+	12.9203i	−1.56852	+	0.460559i	−0.946570	−	0.322499i	$-0.895477\pi$
$787$	−44.0025	+	12.9203i	−1.56852	+	0.460559i	−0.621949	+	0.783058i	$0.713659\pi$
$788$	−9.79964	+	12.9877i	−0.349098	+	0.462668i
$789$	12.3980	−	10.7430i	0.441382	−	0.382459i
$790$	9.25602	+	3.85457i	0.329315	+	0.137140i
$791$	2.08436	−	7.09868i	0.0741114	−	0.252400i
$792$	9.76934	+	9.19999i	0.347138	+	0.326908i
$793$	−12.0371	+	18.7301i	−0.427449	+	0.665124i
$794$	−2.26062	−	4.53764i	−0.0802264	−	0.161035i
$795$	3.96230	+	3.43335i	0.140528	+	0.121768i
$796$	−8.40434	−	39.3529i	−0.297884	−	1.39483i
$797$	−48.7468	+	7.00874i	−1.72670	+	0.248262i	−0.932957	−	0.359989i	$-0.882781\pi$
$797$	−48.7468	+	7.00874i	−1.72670	+	0.248262i	−0.793745	+	0.608251i	$0.791871\pi$
$798$	−2.49349	+	0.444989i	−0.0882686	+	0.0157524i
$799$	−0.0239422	−	0.0524260i	−0.000847013	−	0.00185470i
$800$	18.2234	−	16.6465i	0.644296	−	0.588544i
$801$	20.0293	+	9.14707i	0.707700	+	0.323196i
$802$	−21.8569	−	17.6820i	−0.771795	−	0.624372i
$803$	21.4185	−	13.7648i	0.755841	−	0.485750i
$804$	2.12589	−	1.15037i	0.0749744	−	0.0405703i
$805$	−1.90532	−	0.0736547i	−0.0671537	−	0.00259599i
$806$	−16.0058	+	26.8600i	−0.563780	+	0.946103i
$807$	12.8064	+	19.9271i	0.450805	+	0.701467i
$808$	−34.3372	−	6.39724i	−1.20798	−	0.225054i
$809$	4.86676	−	10.6567i	0.171106	−	0.374671i	−0.804579	−	0.593845i	$-0.797609\pi$
$809$	4.86676	−	10.6567i	0.171106	−	0.374671i	0.975686	+	0.219175i	$0.0703364\pi$
$810$	−0.468220	+	1.82004i	−0.0164516	+	0.0639497i
$811$	−44.5640	+	20.3517i	−1.56485	+	0.714645i	−0.994300	−	0.106616i	$-0.965999\pi$
$811$	−44.5640	+	20.3517i	−1.56485	+	0.714645i	−0.570554	+	0.821260i	$0.693271\pi$
$812$	0.349144	−	0.925347i	0.0122526	−	0.0324733i
$813$	0.0900535	+	0.626336i	0.00315831	+	0.0219666i
$814$	−15.7189	+	14.5792i	−0.550948	+	0.511001i
$815$	4.49815	−	5.19114i	0.157563	−	0.181838i
$816$	7.57340	−	3.38939i	0.265122	−	0.118653i
$817$	−40.5131	−	26.0362i	−1.41738	−	0.910892i
$818$	−8.89661	+	2.94233i	−0.311063	+	0.102876i
$819$	−2.65752	−	0.780318i	−0.0928613	−	0.0272665i
$820$	−0.270620	−	0.364382i	−0.00945047	−	0.0127248i
$821$	14.9498	+	17.2530i	0.521751	+	0.602132i	0.954068	−	0.299589i	$-0.0968496\pi$
$821$	14.9498	+	17.2530i	0.521751	+	0.602132i	−0.432318	+	0.901721i	$0.642304\pi$
$822$	−0.783239	+	7.15732i	−0.0273186	+	0.249640i
$823$	−4.83709	−	16.4736i	−0.168610	−	0.574234i	−0.999833	−	0.0182938i	$-0.994177\pi$
$823$	−4.83709	−	16.4736i	−0.168610	−	0.574234i	0.831222	−	0.555940i	$-0.187642\pi$
$824$	−26.2730	−	13.3390i	−0.915262	−	0.464685i
$825$	9.31613	+	1.33946i	0.324346	+	0.0466339i
$826$	−0.126357	−	3.73679i	−0.00439653	−	0.130019i
$827$	−34.5335			−1.20085			−0.600424	−	0.799682i	$-0.705002\pi$
$827$	−34.5335			−1.20085			−0.600424	+	0.799682i	$0.705002\pi$
$828$	6.21367	+	19.0974i	0.215940	+	0.663680i
$829$	−18.3815			−0.638415			−0.319208	−	0.947685i	$-0.603417\pi$
$829$	−18.3815			−0.638415			−0.319208	+	0.947685i	$0.603417\pi$
$830$	−0.688021	−	20.3469i	−0.0238815	−	0.706252i
$831$	2.64875	+	0.380833i	0.0918841	+	0.0132109i
$832$	−10.3912	+	18.5252i	−0.360249	+	0.642246i
$833$	4.14488	+	14.1162i	0.143612	+	0.489097i
$834$	1.84864	−	16.8931i	0.0640133	−	0.584960i
$835$	3.72250	+	4.29599i	0.128822	+	0.148669i
$836$	13.7390	−	10.2037i	0.475173	−	0.352903i
$837$	38.7435	+	11.3761i	1.33917	+	0.393216i
$838$	29.6860	−	9.81789i	1.02549	−	0.339153i
$839$	−15.2909	−	9.82687i	−0.527901	−	0.339261i	0.249390	−	0.968403i	$-0.419770\pi$
$839$	−15.2909	−	9.82687i	−0.527901	−	0.339261i	−0.777290	+	0.629142i	$0.783406\pi$
$840$	−0.615533	+	0.875846i	−0.0212379	+	0.0302196i
$841$	18.3458	−	21.1722i	0.632615	−	0.730077i
$842$	38.0553	−	35.2962i	1.31147	−	1.21639i
$843$	−2.34180	−	16.2876i	−0.0806560	−	0.560975i
$844$	−6.13003	−	2.31293i	−0.211004	−	0.0796144i
$845$	−4.31945	+	1.97263i	−0.148594	+	0.0678604i
$846$	0.0195129	−	0.0758497i	0.000670868	−	0.00260777i
$847$	−1.21395	+	2.65819i	−0.0417120	+	0.0913365i
$848$	−18.2364	+	20.7258i	−0.626239	+	0.711726i
$849$	4.14239	+	6.44568i	0.142166	+	0.221215i
$850$	−6.88279	+	11.5503i	−0.236078	+	0.396172i
$851$	−31.1114	+	7.84342i	−1.06649	+	0.268869i
$852$	9.50193	+	17.5597i	0.325531	+	0.601584i
$853$	0.170463	−	0.109550i	0.00583654	−	0.00375092i	−0.537719	−	0.843124i	$-0.680714\pi$
$853$	0.170463	−	0.109550i	0.00583654	−	0.00375092i	0.543556	+	0.839373i	$0.317078\pi$
$854$	−4.59359	−	3.71615i	−0.157189	−	0.127164i
$855$	5.73922	+	2.62101i	0.196277	+	0.0896368i
$856$	−1.07290	−	4.30575i	−0.0366708	−	0.147167i
$857$	11.9749	+	26.2213i	0.409054	+	0.895704i	0.996271	+	0.0862747i	$0.0274963\pi$
$857$	11.9749	+	26.2213i	0.409054	+	0.895704i	−0.587217	+	0.809430i	$0.699776\pi$
$858$	−7.97362	+	1.42298i	−0.272215	+	0.0485796i
$859$	−4.15101	+	0.596825i	−0.141631	+	0.0203634i	−0.212765	−	0.977103i	$-0.568247\pi$
$859$	−4.15101	+	0.596825i	−0.141631	+	0.0203634i	0.0711349	+	0.997467i	$0.477338\pi$
$860$	−19.9048	+	4.25095i	−0.678750	+	0.144956i
$861$	−0.101938	−	0.0883298i	−0.00347404	−	0.00301027i
$862$	10.2070	+	20.4881i	0.347652	+	0.697827i
$863$	17.2098	−	26.7790i	0.585830	−	0.911569i	−0.414169	−	0.910200i	$-0.635928\pi$
$863$	17.2098	−	26.7790i	0.585830	−	0.911569i	0.999999	−	0.00136911i	$-0.000435802\pi$
$864$	26.5127	+	7.03568i	0.901982	+	0.239359i
$865$	−4.07893	+	13.8916i	−0.138688	+	0.472327i
$866$	11.2690	+	4.69285i	0.382936	+	0.159469i
$867$	8.81454	−	7.63784i	0.299358	−	0.259395i
$868$	−6.62373	−	4.99782i	−0.224824	−	0.169637i
$869$	−19.3168	+	5.67192i	−0.655277	+	0.192407i
$870$	0.877037	−	0.606473i	0.0297343	−	0.0205614i
$871$	0.479720	−	3.33652i	0.0162547	−	0.113054i
$872$	12.2885	−	7.19680i	0.416141	−	0.243715i
$873$		−	27.3486i		−	0.925609i
$874$	25.3681	−	3.52224i	0.858089	−	0.119142i
$875$		−	3.72266i		−	0.125849i
$876$	10.3233	−	18.7363i	0.348792	−	0.633040i
$877$	−4.59765	+	31.9774i	−0.155252	+	1.07980i	0.751985	+	0.659180i	$0.229096\pi$
$877$	−4.59765	+	31.9774i	−0.155252	+	1.07980i	−0.907237	+	0.420620i	$0.861813\pi$
$878$	9.25083	+	13.3779i	0.312200	+	0.451481i
$879$	−16.6019	+	4.87475i	−0.559967	+	0.164421i
$880$	1.08369	−	7.15133i	0.0365313	−	0.241071i
$881$	−22.7621	+	19.7234i	−0.766873	+	0.664499i	−0.947753	−	0.319006i	$-0.896651\pi$
$881$	−22.7621	+	19.7234i	−0.766873	+	0.664499i	0.180880	+	0.983505i	$0.442106\pi$
$882$	−7.68579	+	18.4560i	−0.258794	+	0.621445i
$883$	4.88166	−	16.6254i	0.164281	−	0.559490i	−0.835666	−	0.549237i	$-0.814918\pi$
$883$	4.88166	−	16.6254i	0.164281	−	0.559490i	0.999947	−	0.0102526i	$-0.00326356\pi$
$884$	2.50246	−	11.2969i	0.0841668	−	0.379957i
$885$	2.17936	−	3.39115i	0.0732584	−	0.113992i
$886$	45.4511	−	22.6434i	1.52696	−	0.760719i
$887$	−24.3297	−	21.0818i	−0.816910	−	0.707856i	0.142524	−	0.989791i	$-0.454478\pi$
$887$	−24.3297	−	21.0818i	−0.816910	−	0.707856i	−0.959433	+	0.281935i	$0.909024\pi$
$888$	−5.78590	+	17.0590i	−0.194162	+	0.572463i
$889$	−1.54847	+	0.222636i	−0.0519339	+	0.00746697i
$890$	−2.08506	−	11.6836i	−0.0698912	−	0.391634i
$891$	−1.56755	−	3.43245i	−0.0525148	−	0.114991i
$892$	−18.8560	+	18.7134i	−0.631347	+	0.626571i
$893$	−0.0908542	−	0.0414917i	−0.00304032	−	0.00138847i
$894$	−15.2993	+	18.9116i	−0.511684	+	0.632500i
$895$	0.530506	−	0.340935i	0.0177329	−	0.0113962i
$896$	−4.58706	−	3.27604i	−0.153243	−	0.109445i
$897$	−11.4899	−	3.86174i	−0.383636	−	0.128940i
$898$	3.05992	+	1.82340i	0.102111	+	0.0608476i
$899$	4.46846	+	6.95306i	0.149031	+	0.231898i
$900$	−17.1433	+	6.32008i	−0.571443	+	0.210669i
$901$	6.24730	−	13.6797i	0.208128	−	0.455736i
$902$	0.882611	+	0.227059i	0.0293877	+	0.00756022i
$903$	−5.50204	+	2.51270i	−0.183096	+	0.0836174i
$904$	26.1672	+	32.8528i	0.870309	+	1.09267i
$905$	−1.46480	−	10.1879i	−0.0486917	−	0.338658i
$906$	−13.2739	−	14.3116i	−0.440997	−	0.475470i
$907$	1.04155	−	1.20201i	0.0345841	−	0.0399122i	−0.738194	−	0.674588i	$-0.764321\pi$
$907$	1.04155	−	1.20201i	0.0345841	−	0.0399122i	0.772778	+	0.634676i	$0.218867\pi$
$908$	2.30138	−	30.5472i	0.0763740	−	1.01374i
$909$	21.7514	+	13.9788i	0.721449	+	0.463647i
$910$	0.468754	+	1.41736i	0.0155391	+	0.0469849i
$911$	−29.6700	−	8.71190i	−0.983011	−	0.288638i	−0.249544	−	0.968363i	$-0.580281\pi$
$911$	−29.6700	−	8.71190i	−0.983011	−	0.288638i	−0.733467	+	0.679725i	$0.762099\pi$
$912$	6.07245	−	13.0340i	0.201079	−	0.431598i
$913$	26.7693	+	30.8934i	0.885935	+	1.02242i
$914$	43.5723	+	4.76820i	1.44124	+	0.157718i
$915$	−1.79470	−	6.11217i	−0.0593308	−	0.202062i
$916$	2.16870	+	32.0309i	0.0716557	+	1.05833i
$917$	−1.76921	−	0.254375i	−0.0584246	−	0.00840019i
$918$	−14.9342	+	0.504991i	−0.492902	+	0.0166672i
$919$	−1.02775			−0.0339023			−0.0169512	−	0.999856i	$-0.505396\pi$
$919$	−1.02775			−0.0339023			−0.0169512	+	0.999856i	$0.505396\pi$
$920$	6.56147	−	8.60916i	0.216325	−	0.283836i
$921$	11.7462			0.387052
$922$	18.1699	−	0.614404i	0.598392	−	0.0202343i
$923$	27.5594	+	3.96244i	0.907129	+	0.130425i
$924$	−0.145200	−	2.14456i	−0.00477674	−	0.0705508i
$925$	−8.22392	−	28.0081i	−0.270401	−	0.920901i
$926$	6.87422	+	0.752258i	0.225901	+	0.0247207i
$927$	14.2838	+	16.4844i	0.469142	+	0.541419i
$928$	3.15825	+	4.64219i	0.103675	+	0.152387i
$929$	−18.7391	−	5.50230i	−0.614811	−	0.180525i	−0.0405236	−	0.999179i	$-0.512903\pi$
$929$	−18.7391	−	5.50230i	−0.614811	−	0.180525i	−0.574287	+	0.818654i	$0.694721\pi$
$930$	−2.80904	−	8.49360i	−0.0921122	−	0.278516i
$931$	21.4487	+	13.7842i	0.702951	+	0.451759i
$932$	1.41925	−	18.8383i	0.0464890	−	0.617068i
$933$	−5.83225	+	6.73077i	−0.190939	+	0.220356i
$934$	−19.8409	−	21.3919i	−0.649213	−	0.699964i
$935$	0.560744	+	3.90006i	0.0183383	+	0.127546i
$936$	12.2990	−	9.79618i	0.402006	−	0.320198i
$937$	−42.6039	+	19.4565i	−1.39181	+	0.635617i	−0.963424	−	0.267980i	$-0.913644\pi$
$937$	−42.6039	+	19.4565i	−1.39181	+	0.635617i	−0.428383	+	0.903597i	$0.640917\pi$
$938$	0.866343	+	0.222873i	0.0282871	+	0.00727707i
$939$	−0.541351	+	1.18539i	−0.0176663	+	0.0386839i
$940$	−0.0396079	+	0.0146019i	−0.00129187	+	0.000476262i
$941$	−10.7930	−	16.7943i	−0.351842	−	0.547477i	0.619550	−	0.784957i	$-0.287315\pi$
$941$	−10.7930	−	16.7943i	−0.351842	−	0.547477i	−0.971392	+	0.237480i	$0.923679\pi$
$942$	12.7489	+	7.59704i	0.415382	+	0.247525i
$943$	0.995484	+	0.932304i	0.0324174	+	0.0303600i
$944$	17.7686	+	11.6108i	0.578318	+	0.377898i
$945$	1.62186	−	1.04230i	0.0527590	−	0.0339061i
$946$	25.7038	−	31.7729i	0.835704	−	1.03303i
$947$	−39.5818	−	18.0764i	−1.28624	−	0.587405i	−0.349335	−	0.936998i	$-0.613593\pi$
$947$	−39.5818	−	18.0764i	−1.28624	−	0.587405i	−0.936902	+	0.349593i	$0.886320\pi$
$948$	−12.0063	+	11.9155i	−0.389948	+	0.386998i
$949$	−12.3926	−	27.1360i	−0.402281	−	0.880872i
$950$	4.09364	+	22.9387i	0.132815	+	0.744229i
$951$	0.250222	−	0.0359765i	0.00811400	−	0.00116662i
$952$	2.90795	+	0.986288i	0.0942471	+	0.0319658i
$953$	−12.7601	−	11.0567i	−0.413342	−	0.358162i	0.423228	−	0.906023i	$-0.360897\pi$
$953$	−12.7601	−	11.0567i	−0.413342	−	0.358162i	−0.836570	+	0.547861i	$0.815442\pi$
$954$	18.2918	−	9.11286i	0.592220	−	0.295040i
$955$	−8.97432	+	13.9643i	−0.290402	+	0.451875i
$956$	−12.6655	+	57.1763i	−0.409631	+	1.84921i
$957$	−0.603197	+	2.05430i	−0.0194986	+	0.0664061i
$958$	13.9693	−	33.5445i	0.451327	−	1.08378i
$959$	−2.01377	+	1.74494i	−0.0650280	+	0.0563471i
$960$	−2.05879	−	5.71789i	−0.0664471	−	0.184544i
$961$	36.7895	−	10.8024i	1.18676	−	0.348463i
$962$	14.2875	+	20.6616i	0.460649	+	0.666157i
$963$	−0.467483	+	3.25141i	−0.0150644	+	0.104775i
$964$	16.2728	−	29.5342i	0.524110	−	0.951232i
$965$		−	14.0280i		−	0.451577i
$966$	1.35044	−	2.91960i	0.0434498	−	0.0939367i
$967$			30.5981i			0.983969i	0.870604	+	0.491984i	$0.163728\pi$
$967$			30.5981i			0.983969i	−0.870604	+	0.491984i	$0.836272\pi$
$968$	−8.38381	−	14.3153i	−0.269466	−	0.460112i
$969$	−1.11476	+	7.75331i	−0.0358112	+	0.249072i
$970$	−12.1243	+	8.38396i	−0.389287	+	0.269193i
$971$	−38.1255	+	11.1946i	−1.22350	+	0.359253i	−0.828795	−	0.559553i	$-0.810973\pi$
$971$	−38.1255	+	11.1946i	−1.22350	+	0.359253i	−0.394709	+	0.918806i	$0.629155\pi$
$972$	−25.7557	−	19.4335i	−0.826115	−	0.623330i
$973$	4.75301	−	4.11851i	0.152375	−	0.132033i
$974$	−23.4820	−	9.77884i	−0.752413	−	0.313334i
$975$	3.10695	−	10.5813i	0.0995021	−	0.338873i
$976$	32.2547	−	9.20539i	1.03245	−	0.294657i
$977$	−18.3283	+	28.5195i	−0.586376	+	0.912418i	0.413623	+	0.910448i	$0.364263\pi$
$977$	−18.3283	+	28.5195i	−0.586376	+	0.912418i	−0.999998	+	0.00196969i	$0.999373\pi$
$978$	5.16740	+	10.3723i	0.165235	+	0.331670i
$979$	18.0095	+	15.6054i	0.575588	+	0.498750i
$980$	10.5381	−	2.25056i	0.336628	−	0.0718914i
$981$	−10.4347	+	1.50028i	−0.333153	+	0.0479002i
$982$	−9.49547	+	1.69457i	−0.303013	+	0.0540758i
$983$	18.6401	+	40.8161i	0.594527	+	1.30183i	0.932668	+	0.360737i	$0.117475\pi$
$983$	18.6401	+	40.8161i	0.594527	+	1.30183i	−0.338141	+	0.941095i	$0.609798\pi$
$984$	0.743010	−	0.185141i	0.0236863	−	0.00590209i
$985$	−5.90505	−	2.69675i	−0.188151	−	0.0859255i
$986$	−2.37790	−	1.92369i	−0.0757278	−	0.0612628i
$987$	−0.0105535	+	0.00678230i	−0.000335921	+	0.000215883i
$988$	−9.54309	−	17.6357i	−0.303606	−	0.561067i
$989$	56.5743	−	23.2393i	1.79896	−	0.738967i
$990$	−2.74088	+	4.59958i	−0.0871108	+	0.146184i
$991$	−25.8619	−	40.2418i	−0.821529	−	1.27832i	−0.957737	−	0.287644i	$-0.907128\pi$
$991$	−25.8619	−	40.2418i	−0.821529	−	1.27832i	0.136208	−	0.990680i	$-0.456508\pi$
$992$	44.8345	−	14.4511i	1.42350	−	0.458823i
$993$	−0.908930	+	1.99028i	−0.0288440	+	0.0631596i
$994$	−1.84091	+	7.15591i	−0.0583903	+	0.226972i
$995$	14.6049	−	6.66981i	0.463005	−	0.211447i
$996$	32.1349	+	12.1249i	1.01823	+	0.384191i
$997$	3.80103	+	26.4368i	0.120380	+	0.837260i	0.957127	+	0.289670i	$0.0935456\pi$
$997$	3.80103	+	26.4368i	0.120380	+	0.837260i	−0.836747	+	0.547590i	$0.815545\pi$
$998$	−29.2113	+	27.0933i	−0.924666	+	0.857624i
$999$	21.2443	−	24.5172i	0.672140	−	0.775691i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	92.2.h.a.11.10	yes	100
3.2	odd	2		828.2.u.a.379.1		100
4.3	odd	2	inner	92.2.h.a.11.8	✓	100
12.11	even	2		828.2.u.a.379.3		100
23.21	odd	22	inner	92.2.h.a.67.8	yes	100
69.44	even	22		828.2.u.a.343.3		100
92.67	even	22	inner	92.2.h.a.67.10	yes	100
276.251	odd	22		828.2.u.a.343.1		100

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
92.2.h.a.11.8	✓	100	4.3	odd	2	inner
92.2.h.a.11.10	yes	100	1.1	even	1	trivial
92.2.h.a.67.8	yes	100	23.21	odd	22	inner
92.2.h.a.67.10	yes	100	92.67	even	22	inner
828.2.u.a.343.1		100	276.251	odd	22
828.2.u.a.343.3		100	69.44	even	22
828.2.u.a.379.1		100	3.2	odd	2
828.2.u.a.379.3		100	12.11	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:	\( N \)	\(=\)	\( 92 = 2^{2} \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	92.h (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(1.41341 - 0.0477935i) q^{2} +(-0.942266 - 0.135477i) q^{3} +(1.99543 - 0.135103i) q^{4} +(0.224821 + 0.765671i) q^{5} +(-1.33828 - 0.146450i) q^{6} +(-0.326270 - 0.376536i) q^{7} +(2.81390 - 0.286325i) q^{8} +(-2.00897 - 0.589886i) q^{9} +O(q^{10})\)	\(q+(1.41341 - 0.0477935i) q^{2} +(-0.942266 - 0.135477i) q^{3} +(1.99543 - 0.135103i) q^{4} +(0.224821 + 0.765671i) q^{5} +(-1.33828 - 0.146450i) q^{6} +(-0.326270 - 0.376536i) q^{7} +(2.81390 - 0.286325i) q^{8} +(-2.00897 - 0.589886i) q^{9} +(0.354358 + 1.07146i) q^{10} +(-1.90627 - 1.22508i) q^{11} +(-1.89853 - 0.143033i) q^{12} +(-1.73870 + 2.00657i) q^{13} +(-0.479148 - 0.516604i) q^{14} +(-0.108110 - 0.751924i) q^{15} +(3.96349 - 0.539179i) q^{16} +(-1.98209 + 0.905190i) q^{17} +(-2.86768 - 0.737733i) q^{18} +(-1.56869 + 3.43496i) q^{19} +(0.552060 + 1.49747i) q^{20} +(0.256421 + 0.398999i) q^{21} +(-2.75288 - 1.64043i) q^{22} +(-2.43504 - 4.13166i) q^{23} +(-2.69023 - 0.111426i) q^{24} +(3.67056 - 2.35893i) q^{25} +(-2.36159 + 2.91919i) q^{26} +(4.41085 + 2.01437i) q^{27} +(-0.701921 - 0.707271i) q^{28} +(0.412317 + 0.902848i) q^{29} +(-0.188741 - 1.05761i) q^{30} +(8.24246 - 1.18509i) q^{31} +(5.57626 - 0.951508i) q^{32} +(1.63024 + 1.41261i) q^{33} +(-2.75824 + 1.37413i) q^{34} +(0.214950 - 0.334469i) q^{35} +(-4.08845 - 0.905659i) q^{36} +(1.88484 - 6.41916i) q^{37} +(-2.05303 + 4.92996i) q^{38} +(1.91016 - 1.65516i) q^{39} +(0.851854 + 2.09015i) q^{40} +(-0.272870 + 0.0801218i) q^{41} +(0.381497 + 0.551692i) q^{42} +(-1.81495 + 12.6232i) q^{43} +(-3.96933 - 2.18703i) q^{44} -1.67083i q^{45} +(-3.63917 - 5.72333i) q^{46} +0.0264499i q^{47} +(-3.80771 - 0.0289139i) q^{48} +(0.960877 - 6.68305i) q^{49} +(5.07525 - 3.50955i) q^{50} +(1.99029 - 0.584402i) q^{51} +(-3.19836 + 4.23887i) q^{52} +(-5.21592 + 4.51962i) q^{53} +(6.33060 + 2.63631i) q^{54} +(0.509441 - 1.73500i) q^{55} +(-1.02590 - 0.966113i) q^{56} +(1.94349 - 3.02412i) q^{57} +(0.625921 + 1.25638i) q^{58} +(4.01034 + 3.47498i) q^{59} +(-0.317314 - 1.48581i) q^{60} +(8.30030 - 1.19340i) q^{61} +(11.5933 - 2.06895i) q^{62} +(0.433353 + 0.948910i) q^{63} +(7.83604 - 1.61138i) q^{64} +(-1.92726 - 0.880152i) q^{65} +(2.37170 + 1.91868i) q^{66} +(-1.06804 + 0.686390i) q^{67} +(-3.83283 + 2.07403i) q^{68} +(1.73471 + 4.22301i) q^{69} +(0.287826 - 0.483013i) q^{70} +(-5.66952 - 8.82195i) q^{71} +(-5.82193 - 1.08466i) q^{72} +(-4.66753 + 10.2205i) q^{73} +(2.35724 - 9.16296i) q^{74} +(-3.77823 + 1.72546i) q^{75} +(-2.66614 + 7.06616i) q^{76} +(0.160670 + 1.11748i) q^{77} +(2.62073 - 2.43071i) q^{78} +(5.81816 - 6.71451i) q^{79} +(1.30391 + 2.91351i) q^{80} +(1.40090 + 0.900307i) q^{81} +(-0.381846 + 0.126286i) q^{82} +(-17.3091 - 5.08240i) q^{83} +(0.565577 + 0.761532i) q^{84} +(-1.13869 - 1.31412i) q^{85} +(-1.96195 + 17.9285i) q^{86} +(-0.266197 - 0.906583i) q^{87} +(-5.71481 - 2.90145i) q^{88} +(-10.4094 - 1.49664i) q^{89} +(-0.0798547 - 2.36156i) q^{90} +1.32283 q^{91} +(-5.41716 - 7.91545i) q^{92} -7.92714 q^{93} +(0.00126413 + 0.0373844i) q^{94} +(-2.98272 - 0.428851i) q^{95} +(-5.38322 + 0.141117i) q^{96} +(3.67994 + 12.5327i) q^{97} +(1.03870 - 9.49178i) q^{98} +(3.10697 + 3.58563i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 100 q - 7 q^{2} - 11 q^{4} - 22 q^{5} - 12 q^{6} - 10 q^{8} - 12 q^{9}+O(q^{10}) \) 100 * q - 7 * q^2 - 11 * q^4 - 22 * q^5 - 12 * q^6 - 10 * q^8 - 12 * q^9	\( 100 q - 7 q^{2} - 11 q^{4} - 22 q^{5} - 12 q^{6} - 10 q^{8} - 12 q^{9} - 11 q^{10} - 18 q^{12} - 18 q^{13} - 11 q^{14} + 5 q^{16} - 22 q^{17} - 24 q^{18} - 11 q^{20} - 22 q^{21} - 30 q^{24} - 16 q^{25} + 12 q^{26} - 11 q^{28} - 42 q^{29} - 11 q^{30} - 27 q^{32} - 22 q^{33} + 11 q^{34} + 77 q^{36} - 22 q^{37} + 44 q^{38} + 77 q^{40} - 10 q^{41} + 99 q^{42} + 66 q^{44} + 65 q^{46} + 38 q^{48} - 8 q^{49} + 30 q^{50} + 96 q^{52} - 22 q^{53} + 48 q^{54} + 44 q^{56} - 22 q^{57} + 79 q^{58} + 11 q^{60} - 22 q^{61} - 36 q^{62} + 10 q^{64} - 22 q^{65} - 44 q^{66} - 10 q^{69} + 34 q^{70} - 21 q^{72} - 18 q^{73} - 22 q^{74} - 66 q^{76} + 122 q^{77} - 66 q^{78} - 110 q^{80} + 8 q^{81} - 122 q^{82} - 165 q^{84} + 54 q^{85} - 121 q^{86} - 99 q^{88} + 22 q^{89} - 198 q^{90} - 86 q^{92} + 212 q^{93} - 61 q^{94} - 147 q^{96} + 22 q^{97} - 71 q^{98}+O(q^{100}) \) 100 * q - 7 * q^2 - 11 * q^4 - 22 * q^5 - 12 * q^6 - 10 * q^8 - 12 * q^9 - 11 * q^10 - 18 * q^12 - 18 * q^13 - 11 * q^14 + 5 * q^16 - 22 * q^17 - 24 * q^18 - 11 * q^20 - 22 * q^21 - 30 * q^24 - 16 * q^25 + 12 * q^26 - 11 * q^28 - 42 * q^29 - 11 * q^30 - 27 * q^32 - 22 * q^33 + 11 * q^34 + 77 * q^36 - 22 * q^37 + 44 * q^38 + 77 * q^40 - 10 * q^41 + 99 * q^42 + 66 * q^44 + 65 * q^46 + 38 * q^48 - 8 * q^49 + 30 * q^50 + 96 * q^52 - 22 * q^53 + 48 * q^54 + 44 * q^56 - 22 * q^57 + 79 * q^58 + 11 * q^60 - 22 * q^61 - 36 * q^62 + 10 * q^64 - 22 * q^65 - 44 * q^66 - 10 * q^69 + 34 * q^70 - 21 * q^72 - 18 * q^73 - 22 * q^74 - 66 * q^76 + 122 * q^77 - 66 * q^78 - 110 * q^80 + 8 * q^81 - 122 * q^82 - 165 * q^84 + 54 * q^85 - 121 * q^86 - 99 * q^88 + 22 * q^89 - 198 * q^90 - 86 * q^92 + 212 * q^93 - 61 * q^94 - 147 * q^96 + 22 * q^97 - 71 * q^98

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