LMFDB - Embedded newform 136.2.s.c.11.11

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			11.11
Character	$\chi$	$=$	136.11
Dual form			136.2.s.c.99.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.557587 + 1.29965i) q^{2} +(0.349846 + 1.75879i) q^{3} +(-1.37819 + 1.44934i) q^{4} +(1.08746 - 1.62749i) q^{5} +(-2.09075 + 1.43536i) q^{6} +(0.680811 + 1.01891i) q^{7} +(-2.65210 - 0.983039i) q^{8} +(-0.199328 + 0.0825646i) q^{9} +O(q^{10})$	\(q+(0.557587 + 1.29965i) q^{2} +(0.349846 + 1.75879i) q^{3} +(-1.37819 + 1.44934i) q^{4} +(1.08746 - 1.62749i) q^{5} +(-2.09075 + 1.43536i) q^{6} +(0.680811 + 1.01891i) q^{7} +(-2.65210 - 0.983039i) q^{8} +(-0.199328 + 0.0825646i) q^{9} +(2.72153 + 0.505845i) q^{10} +(-3.15779 - 0.628123i) q^{11} +(-3.03125 - 1.91691i) q^{12} +(-0.472919 - 0.472919i) q^{13} +(-0.944611 + 1.45295i) q^{14} +(3.24287 + 1.34324i) q^{15} +(-0.201168 - 3.99494i) q^{16} +(0.972418 - 4.00679i) q^{17} +(-0.218448 - 0.213021i) q^{18} +(-0.347525 - 0.143950i) q^{19} +(0.860065 + 3.81909i) q^{20} +(-1.55387 + 1.55387i) q^{21} +(-0.944401 - 4.45426i) q^{22} +(7.81609 + 1.55472i) q^{23} +(0.801137 - 5.00841i) q^{24} +(0.447245 + 1.07975i) q^{25} +(0.350937 - 0.878325i) q^{26} +(2.77388 + 4.15141i) q^{27} +(-2.41503 - 0.417522i) q^{28} +(-0.263962 - 0.176373i) q^{29} +(0.0624367 + 4.96357i) q^{30} +(-0.751476 - 3.77793i) q^{31} +(5.07986 - 2.48898i) q^{32} -5.77365i q^{33} +(5.74965 - 0.970332i) q^{34} +2.39861 q^{35} +(0.155049 - 0.402684i) q^{36} +(-6.83658 + 1.35988i) q^{37} +(-0.00669110 - 0.531927i) q^{38} +(0.666319 - 0.997217i) q^{39} +(-4.48393 + 3.24726i) q^{40} +(-5.01839 + 3.35318i) q^{41} +(-2.88590 - 1.15307i) q^{42} +(-7.39939 + 3.06493i) q^{43} +(5.26241 - 3.71103i) q^{44} +(-0.0823877 + 0.414191i) q^{45} +(2.33756 + 11.0251i) q^{46} +(-6.28844 - 6.28844i) q^{47} +(6.95590 - 1.75143i) q^{48} +(2.10412 - 5.07979i) q^{49} +(-1.15392 + 1.18332i) q^{50} +(7.38733 + 0.308522i) q^{51} +(1.33719 - 0.0336464i) q^{52} +(4.69770 - 11.3412i) q^{53} +(-3.84871 + 5.91986i) q^{54} +(-4.45622 + 4.45622i) q^{55} +(-0.803955 - 3.37150i) q^{56} +(0.131598 - 0.661586i) q^{57} +(0.0820426 - 0.441402i) q^{58} +(-1.04493 - 2.52269i) q^{59} +(-6.41611 + 2.84877i) q^{60} +(-9.24442 + 6.17692i) q^{61} +(4.49098 - 3.08318i) q^{62} +(-0.219830 - 0.146886i) q^{63} +(6.06727 + 5.21423i) q^{64} +(-1.28395 + 0.255394i) q^{65} +(7.50374 - 3.21931i) q^{66} +1.57931i q^{67} +(4.46703 + 6.93150i) q^{68} +14.2908i q^{69} +(1.33744 + 3.11736i) q^{70} +(-9.54844 + 1.89930i) q^{71} +(0.609803 - 0.0230218i) q^{72} +(3.44906 + 2.30459i) q^{73} +(-5.57936 - 8.12693i) q^{74} +(-1.74258 + 1.16436i) q^{75} +(0.687589 - 0.305292i) q^{76} +(-1.50986 - 3.64512i) q^{77} +(1.66757 + 0.309948i) q^{78} +(-2.67288 + 13.4375i) q^{79} +(-6.72049 - 4.01692i) q^{80} +(-6.78872 + 6.78872i) q^{81} +(-7.15616 - 4.65247i) q^{82} +(2.64615 - 6.38838i) q^{83} +(-0.110552 - 4.39361i) q^{84} +(-5.46357 - 5.93981i) q^{85} +(-8.10915 - 7.90767i) q^{86} +(0.217859 - 0.525958i) q^{87} +(7.75730 + 4.77008i) q^{88} +(11.0163 + 11.0163i) q^{89} +(-0.584242 + 0.123872i) q^{90} +(0.159891 - 0.803829i) q^{91} +(-13.0254 + 9.18547i) q^{92} +(6.38169 - 2.64338i) q^{93} +(4.66643 - 11.6791i) q^{94} +(-0.612196 + 0.409056i) q^{95} +(6.15477 + 8.06368i) q^{96} +(-2.39302 + 3.58141i) q^{97} +(7.77520 - 0.0978041i) q^{98} +(0.681298 - 0.135519i) 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 $\left(\mathbb{Z}/136\mathbb{Z}\right)^\times$.

$n$	$69$	$103$	$105$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{7}{16}\right)$

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 $

$2$	0.557587	+	1.29965i	0.394274	+	0.918993i
$2$	0.557587	+	1.29965i	0.394274	+	0.918993i
$3$	0.349846	+	1.75879i	0.201984	+	1.01544i	0.940134	+	0.340805i	$0.110699\pi$
$3$	0.349846	+	1.75879i	0.201984	+	1.01544i	−0.738150	+	0.674636i	$0.764301\pi$
$4$	−1.37819	+	1.44934i	−0.689096	+	0.724670i
$5$	1.08746	−	1.62749i	0.486325	−	0.727837i	−0.504437	−	0.863448i	$-0.668300\pi$
$5$	1.08746	−	1.62749i	0.486325	−	0.727837i	0.990762	+	0.135612i	$0.0433000\pi$
$6$	−2.09075	+	1.43536i	−0.853546	+	0.585983i
$7$	0.680811	+	1.01891i	0.257322	+	0.385110i	0.937527	−	0.347912i	$-0.113109\pi$
$7$	0.680811	+	1.01891i	0.257322	+	0.385110i	−0.680205	+	0.733022i	$0.738109\pi$
$8$	−2.65210	−	0.983039i	−0.937659	−	0.347557i
$9$	−0.199328	+	0.0825646i	−0.0664428	+	0.0275215i
$10$	2.72153	+	0.505845i	0.860622	+	0.159962i
$11$	−3.15779	−	0.628123i	−0.952109	−	0.189386i	−0.305487	−	0.952196i	$-0.598819\pi$
$11$	−3.15779	−	0.628123i	−0.952109	−	0.189386i	−0.646623	+	0.762810i	$0.723819\pi$
$12$	−3.03125	−	1.91691i	−0.875045	−	0.553365i
$13$	−0.472919	−	0.472919i	−0.131164	−	0.131164i	0.638477	−	0.769641i	$-0.279565\pi$
$13$	−0.472919	−	0.472919i	−0.131164	−	0.131164i	−0.769641	+	0.638477i	$0.779565\pi$
$14$	−0.944611	+	1.45295i	−0.252458	+	0.388316i
$15$	3.24287	+	1.34324i	0.837305	+	0.346823i
$16$	−0.201168	−	3.99494i	−0.0502921	−	0.998735i
$17$	0.972418	−	4.00679i	0.235846	−	0.971790i
$17$	0.972418	−	4.00679i	0.235846	−	0.971790i
$18$	−0.218448	−	0.213021i	−0.0514887	−	0.0502095i
$19$	−0.347525	−	0.143950i	−0.0797278	−	0.0330243i	0.342463	−	0.939531i	$-0.388739\pi$
$19$	−0.347525	−	0.143950i	−0.0797278	−	0.0330243i	−0.422191	+	0.906507i	$0.638739\pi$
$20$	0.860065	+	3.81909i	0.192316	+	0.853975i
$21$	−1.55387	+	1.55387i	−0.339081	+	0.339081i
$22$	−0.944401	−	4.45426i	−0.201347	−	0.949652i
$23$	7.81609	+	1.55472i	1.62977	+	0.324181i	0.923452	−	0.383715i	$-0.125355\pi$
$23$	7.81609	+	1.55472i	1.62977	+	0.324181i	0.706317	+	0.707896i	$0.250355\pi$
$24$	0.801137	−	5.00841i	0.163531	−	1.02234i
$25$	0.447245	+	1.07975i	0.0894491	+	0.215949i
$26$	0.350937	−	0.878325i	0.0688244	−	0.172254i
$27$	2.77388	+	4.15141i	0.533834	+	0.798939i
$28$	−2.41503	−	0.417522i	−0.456397	−	0.0789043i
$29$	−0.263962	−	0.176373i	−0.0490164	−	0.0327517i	0.530821	−	0.847484i	$-0.321884\pi$
$29$	−0.263962	−	0.176373i	−0.0490164	−	0.0327517i	−0.579837	+	0.814732i	$0.696884\pi$
$30$	0.0624367	+	4.96357i	0.0113993	+	0.906220i
$31$	−0.751476	−	3.77793i	−0.134969	−	0.678535i	−0.987722	−	0.156221i	$-0.950069\pi$
$31$	−0.751476	−	3.77793i	−0.134969	−	0.678535i	0.852753	−	0.522314i	$-0.174931\pi$
$32$	5.07986	−	2.48898i	0.898001	−	0.439993i
$33$		−	5.77365i		−	1.00506i
$34$	5.74965	−	0.970332i	0.986057	−	0.166411i
$35$	2.39861			0.405439
$36$	0.155049	−	0.402684i	0.0258415	−	0.0671141i
$37$	−6.83658	+	1.35988i	−1.12393	+	0.223563i	−0.721854	−	0.692045i	$-0.756710\pi$
$37$	−6.83658	+	1.35988i	−1.12393	+	0.223563i	−0.402072	+	0.915608i	$0.631710\pi$
$38$	−0.00669110	−	0.531927i	−0.00108544	−	0.0862899i
$39$	0.666319	−	0.997217i	0.106696	−	0.159683i
$40$	−4.48393	+	3.24726i	−0.708971	+	0.513437i
$41$	−5.01839	+	3.35318i	−0.783741	+	0.523679i	−0.881869	−	0.471495i	$-0.843715\pi$
$41$	−5.01839	+	3.35318i	−0.783741	+	0.523679i	0.0981277	+	0.995174i	$0.468715\pi$
$42$	−2.88590	−	1.15307i	−0.445304	−	0.177923i
$43$	−7.39939	+	3.06493i	−1.12840	+	0.467397i	−0.867236	−	0.497898i	$-0.834105\pi$
$43$	−7.39939	+	3.06493i	−1.12840	+	0.467397i	−0.261161	+	0.965295i	$0.584105\pi$
$44$	5.26241	−	3.71103i	0.793338	−	0.559459i
$45$	−0.0823877	+	0.414191i	−0.0122816	+	0.0617439i
$46$	2.33756	+	11.0251i	0.344655	+	1.62556i
$47$	−6.28844	−	6.28844i	−0.917263	−	0.917263i	0.0795664	−	0.996830i	$-0.474646\pi$
$47$	−6.28844	−	6.28844i	−0.917263	−	0.917263i	−0.996830	+	0.0795664i	$0.974646\pi$
$48$	6.95590	−	1.75143i	1.00400	−	0.252797i
$49$	2.10412	−	5.07979i	0.300588	−	0.725685i
$50$	−1.15392	+	1.18332i	−0.163188	+	0.167346i
$51$	7.38733	+	0.308522i	1.03443	+	0.0432018i
$52$	1.33719	−	0.0336464i	0.185436	−	0.00466592i
$53$	4.69770	−	11.3412i	0.645278	−	1.55784i	−0.174189	−	0.984712i	$-0.555730\pi$
$53$	4.69770	−	11.3412i	0.645278	−	1.55784i	0.819467	−	0.573127i	$-0.194270\pi$
$54$	−3.84871	+	5.91986i	−0.523743	+	0.805591i
$55$	−4.45622	+	4.45622i	−0.600877	+	0.600877i
$56$	−0.803955	−	3.37150i	−0.107433	−	0.450536i
$57$	0.131598	−	0.661586i	0.0174305	−	0.0876292i
$58$	0.0820426	−	0.441402i	0.0107727	−	0.0579589i
$59$	−1.04493	−	2.52269i	−0.136038	−	0.328426i	0.841149	−	0.540803i	$-0.181880\pi$
$59$	−1.04493	−	2.52269i	−0.136038	−	0.328426i	−0.977188	+	0.212377i	$0.931880\pi$
$60$	−6.41611	+	2.84877i	−0.828316	+	0.367775i
$61$	−9.24442	+	6.17692i	−1.18363	+	0.790874i	−0.982054	−	0.188599i	$-0.939605\pi$
$61$	−9.24442	+	6.17692i	−1.18363	+	0.790874i	−0.201573	+	0.979474i	$0.564605\pi$
$62$	4.49098	−	3.08318i	0.570355	−	0.391564i
$63$	−0.219830	−	0.146886i	−0.0276960	−	0.0185059i
$64$	6.06727	+	5.21423i	0.758409	+	0.651779i
$65$	−1.28395	+	0.255394i	−0.159255	+	0.0316777i
$66$	7.50374	−	3.21931i	0.923646	−	0.396270i
$67$			1.57931i			0.192944i	0.995336	+	0.0964718i	$0.0307558\pi$
$67$			1.57931i			0.192944i	−0.995336	+	0.0964718i	$0.969244\pi$
$68$	4.46703	+	6.93150i	0.541706	+	0.840568i
$69$			14.2908i			1.72041i
$70$	1.33744	+	3.11736i	0.159854	+	0.372596i
$71$	−9.54844	+	1.89930i	−1.13319	+	0.225406i	−0.725838	−	0.687865i	$-0.758548\pi$
$71$	−9.54844	+	1.89930i	−1.13319	+	0.225406i	−0.407353	+	0.913271i	$0.633548\pi$
$72$	0.609803	−	0.0230218i	0.0718660	−	0.00271315i
$73$	3.44906	+	2.30459i	0.403682	+	0.269731i	0.740793	−	0.671733i	$-0.234450\pi$
$73$	3.44906	+	2.30459i	0.403682	+	0.269731i	−0.337111	+	0.941465i	$0.609450\pi$
$74$	−5.57936	−	8.12693i	−0.648588	−	0.944736i
$75$	−1.74258	+	1.16436i	−0.201216	+	0.134448i
$76$	0.687589	−	0.305292i	0.0788719	−	0.0350194i
$77$	−1.50986	−	3.64512i	−0.172064	−	0.415400i
$78$	1.66757	+	0.309948i	0.188815	+	0.0350947i
$79$	−2.67288	+	13.4375i	−0.300722	+	1.51183i	0.474564	+	0.880221i	$0.342606\pi$
$79$	−2.67288	+	13.4375i	−0.300722	+	1.51183i	−0.775286	+	0.631610i	$0.782394\pi$
$80$	−6.72049	−	4.01692i	−0.751374	−	0.449105i
$81$	−6.78872	+	6.78872i	−0.754303	+	0.754303i
$82$	−7.15616	−	4.65247i	−0.790266	−	0.513780i
$83$	2.64615	−	6.38838i	0.290453	−	0.701216i	−0.709541	−	0.704664i	$-0.751098\pi$
$83$	2.64615	−	6.38838i	0.290453	−	0.701216i	0.999994	+	0.00344821i	$0.00109760\pi$
$84$	−0.110552	−	4.39361i	−0.0120622	−	0.479382i
$85$	−5.46357	−	5.93981i	−0.592607	−	0.644263i
$86$	−8.10915	−	7.90767i	−0.874432	−	0.852706i
$87$	0.217859	−	0.525958i	0.0233569	−	0.0563886i
$88$	7.75730	+	4.77008i	0.826931	+	0.508492i
$89$	11.0163	+	11.0163i	1.16772	+	1.16772i	0.982743	+	0.184978i	$0.0592215\pi$
$89$	11.0163	+	11.0163i	1.16772	+	1.16772i	0.184978	+	0.982743i	$0.440779\pi$
$90$	−0.584242	+	0.123872i	−0.0615846	+	0.0130573i
$91$	0.159891	−	0.803829i	0.0167612	−	0.0842641i
$92$	−13.0254	+	9.18547i	−1.35799	+	0.957651i
$93$	6.38169	−	2.64338i	0.661751	−	0.274106i
$94$	4.66643	−	11.6791i	0.481306	−	1.20461i
$95$	−0.612196	+	0.409056i	−0.0628099	+	0.0419683i
$96$	6.15477	+	8.06368i	0.628168	+	0.822996i
$97$	−2.39302	+	3.58141i	−0.242974	+	0.363637i	−0.932834	−	0.360306i	$-0.882672\pi$
$97$	−2.39302	+	3.58141i	−0.242974	+	0.363637i	0.689860	+	0.723943i	$0.257672\pi$
$98$	7.77520	−	0.0978041i	0.785413	−	0.00987971i
$99$	0.681298	−	0.135519i	0.0684730	−	0.0136201i
$100$	−2.18131	−	0.839888i	−0.218131	−	0.0839888i
$101$	18.3380			1.82470			0.912348	−	0.409417i	$-0.134268\pi$
$101$	18.3380			1.82470			0.912348	+	0.409417i	$0.134268\pi$
$102$	3.71811	+	9.77298i	0.368147	+	0.967670i
$103$		−	4.03182i		−	0.397267i	−0.980074	−	0.198633i	$-0.936350\pi$
$103$		−	4.03182i		−	0.397267i	0.980074	−	0.198633i	$-0.0636503\pi$
$104$	0.789331	+	1.71913i	0.0774003	+	0.168574i
$105$	0.839145	+	4.21867i	0.0818922	+	0.411700i
$106$	17.3590	−	0.218359i	1.68606	−	0.0212089i
$107$	−12.1575	−	8.12336i	−1.17531	−	0.785314i	−0.194615	−	0.980880i	$-0.562346\pi$
$107$	−12.1575	−	8.12336i	−1.17531	−	0.785314i	−0.980691	+	0.195565i	$0.937346\pi$
$108$	−9.83975	−	1.70115i	−0.946830	−	0.163693i
$109$	2.22628	+	3.33187i	0.213239	+	0.319135i	0.922634	−	0.385676i	$-0.126032\pi$
$109$	2.22628	+	3.33187i	0.213239	+	0.319135i	−0.709395	+	0.704811i	$0.751032\pi$
$110$	−8.27627	−	3.30681i	−0.789112	−	0.315292i
$111$	−4.78350	−	11.5484i	−0.454030	−	1.09613i
$112$	3.93351	−	2.92477i	0.371681	−	0.276365i
$113$	8.51244	+	1.69323i	0.800783	+	0.159286i	0.578485	−	0.815693i	$-0.303644\pi$
$113$	8.51244	+	1.69323i	0.800783	+	0.159286i	0.222298	+	0.974979i	$0.428644\pi$
$114$	0.933209	−	0.197861i	0.0874030	−	0.0185314i
$115$	11.0299	−	11.0299i	1.02855	−	1.02855i
$116$	0.619415	−	0.139493i	0.0575112	−	0.0129516i
$117$	0.133313	+	0.0552199i	0.0123248	+	0.00510508i
$118$	2.69598	−	2.76467i	0.248185	−	0.254508i
$119$	4.74458	−	1.73707i	0.434935	−	0.159237i
$120$	−7.27995	−	6.75027i	−0.664566	−	0.616213i
$121$	−0.585580	−	0.242555i	−0.0532345	−	0.0220505i
$122$	−13.1824	−	8.57036i	−1.19348	−	0.775924i
$123$	−7.65322	−	7.65322i	−0.690068	−	0.690068i
$124$	6.51117	+	4.11757i	0.584721	+	0.369768i
$125$	11.8424	+	2.35561i	1.05922	+	0.210692i
$126$	0.0683261	−	0.367605i	0.00608697	−	0.0327488i
$127$	4.84693	−	2.00766i	0.430095	−	0.178151i	−0.157125	−	0.987579i	$-0.550222\pi$
$127$	4.84693	−	2.00766i	0.430095	−	0.178151i	0.587220	+	0.809428i	$0.300222\pi$
$128$	−3.39366	+	10.7927i	−0.299960	+	0.953952i
$129$	−7.97923	−	11.9418i	−0.702532	−	1.05141i
$130$	−1.04784	−	1.52629i	−0.0919015	−	0.133864i
$131$	0.434750	−	0.650650i	0.0379843	−	0.0568476i	−0.811991	−	0.583669i	$-0.801616\pi$
$131$	0.434750	−	0.650650i	0.0379843	−	0.0568476i	0.849976	+	0.526822i	$0.176616\pi$
$132$	8.36798	+	7.95720i	0.728339	+	0.692586i
$133$	−0.0899279	−	0.452098i	−0.00779774	−	0.0392019i
$134$	−2.05256	+	0.880604i	−0.177314	+	0.0760726i
$135$	9.77286			0.841114
$136$	−6.51778	+	9.67050i	−0.558895	+	0.829238i
$137$	−18.0032			−1.53812			−0.769060	−	0.639176i	$-0.779276\pi$
$137$	−18.0032			−1.53812			−0.769060	+	0.639176i	$0.779276\pi$
$138$	−18.5731	+	7.96838i	−1.58105	+	0.678313i
$139$	0.828781	+	4.16656i	0.0702963	+	0.353403i	0.999885	−	0.0151963i	$-0.00483732\pi$
$139$	0.828781	+	4.16656i	0.0702963	+	0.353403i	−0.929588	+	0.368600i	$0.879837\pi$
$140$	−3.30575	+	3.47640i	−0.279387	+	0.293810i
$141$	8.86009	−	13.2601i	0.746154	−	1.11670i
$142$	−7.79252	−	11.3506i	−0.653934	−	0.952523i
$143$	1.19633	+	1.79043i	0.100042	+	0.149723i
$144$	0.369939	+	0.779696i	0.0308282	+	0.0649746i
$145$	−0.574093	+	0.237797i	−0.0476758	+	0.0197480i
$146$	−1.07201	+	5.76758i	−0.0887203	+	0.477329i
$147$	9.67043	+	1.92357i	0.797604	+	0.158653i
$148$	7.45120	−	11.7827i	0.612485	−	0.968532i
$149$	9.74854	+	9.74854i	0.798632	+	0.798632i	0.982880	−	0.184248i	$-0.0589850\pi$
$149$	9.74854	+	9.74854i	0.798632	+	0.798632i	−0.184248	+	0.982880i	$0.558985\pi$
$150$	−2.48490	−	1.61552i	−0.202892	−	0.131907i
$151$	−14.2043	−	5.88360i	−1.15593	−	0.478800i	−0.279410	−	0.960172i	$-0.590139\pi$
$151$	−14.2043	−	5.88360i	−1.15593	−	0.478800i	−0.876517	+	0.481371i	$0.840139\pi$
$152$	0.780164	+	0.723400i	0.0632797	+	0.0586755i
$153$	0.136989	+	0.878955i	0.0110749	+	0.0710593i
$154$	3.89551	−	3.99476i	0.313909	−	0.321907i
$155$	−6.96574	−	2.88530i	−0.559502	−	0.231753i
$156$	0.526989	+	2.34008i	0.0421929	+	0.187356i
$157$	2.85917	−	2.85917i	0.228187	−	0.228187i	−0.583748	−	0.811935i	$-0.698414\pi$
$157$	2.85917	−	2.85917i	0.228187	−	0.228187i	0.811935	+	0.583748i	$0.198414\pi$
$158$	−18.9544	+	4.01874i	−1.50793	+	0.319714i
$159$	21.5904	+	4.29459i	1.71223	+	0.340583i
$160$	1.47334	−	10.9741i	0.116477	−	0.867578i
$161$	3.73717	+	9.02233i	0.294530	+	0.711059i
$162$	−12.6083	−	5.03768i	−0.990601	−	0.395797i
$163$	9.30949	+	13.9326i	0.729175	+	1.09129i	0.991975	+	0.126437i	$0.0403543\pi$
$163$	9.30949	+	13.9326i	0.729175	+	1.09129i	−0.262799	+	0.964851i	$0.584646\pi$
$164$	2.05641	−	11.8947i	0.160579	−	0.928819i
$165$	−9.39657	−	6.27859i	−0.731522	−	0.488787i
$166$	9.77814	−	0.122999i	0.758931	−	0.00954658i
$167$	−1.61694	−	8.12889i	−0.125122	−	0.629032i	−0.991550	−	0.129729i	$-0.958589\pi$
$167$	−1.61694	−	8.12889i	−0.125122	−	0.629032i	0.866427	−	0.499303i	$-0.166411\pi$
$168$	5.64852	−	2.59350i	0.435793	−	0.200093i
$169$		−	12.5527i		−	0.965592i
$170$	4.67328	−	10.4127i	0.358424	−	0.798618i
$171$	0.0811568			0.00620622
$172$	5.75567	−	14.9483i	0.438866	−	1.13980i
$173$	5.65775	−	1.12540i	0.430151	−	0.0855624i	0.0247337	−	0.999694i	$-0.492126\pi$
$173$	5.65775	−	1.12540i	0.430151	−	0.0855624i	0.405417	+	0.914132i	$0.367126\pi$
$174$	0.805038	−	0.0101266i	0.0610298	−	0.000767693i
$175$	−0.795669	+	1.19080i	−0.0601470	+	0.0900163i
$176$	−1.87407	+	12.7415i	−0.141263	+	0.960429i
$177$	4.07132	−	2.72037i	0.306019	−	0.204476i
$178$	−8.17478	+	20.4598i	−0.612726	+	1.53353i
$179$	12.3587	−	5.11914i	0.923733	−	0.382623i	0.130435	−	0.991457i	$-0.458363\pi$
$179$	12.3587	−	5.11914i	0.923733	−	0.382623i	0.793297	+	0.608834i	$0.208363\pi$
$180$	−0.486757	−	0.690243i	−0.0362807	−	0.0514476i
$181$	−2.95128	+	14.8371i	−0.219367	+	1.10283i	0.701415	+	0.712753i	$0.252552\pi$
$181$	−2.95128	+	14.8371i	−0.219367	+	1.10283i	−0.920782	+	0.390078i	$0.872448\pi$
$182$	1.13385	−	0.240401i	0.0840466	−	0.0178197i
$183$	−14.0981	−	14.0981i	−1.04216	−	1.04216i
$184$	−19.2007	−	11.8068i	−1.41550	−	0.870408i
$185$	−5.22128	+	12.6053i	−0.383876	+	0.926760i
$186$	6.99383	+	6.82007i	0.512813	+	0.500072i
$187$	−5.58745	+	12.0418i	−0.408595	+	0.880585i
$188$	17.7808	−	0.447399i	1.29680	−	0.0326299i
$189$	−2.34140	+	5.65265i	−0.170312	+	0.411170i
$190$	−0.872983	−	0.567557i	−0.0633328	−	0.0411749i
$191$	−12.3297	+	12.3297i	−0.892144	+	0.892144i	−0.994725	−	0.102581i	$-0.967290\pi$
$191$	−12.3297	+	12.3297i	−0.892144	+	0.892144i	0.102581	+	0.994725i	$0.467290\pi$
$192$	−7.04816	+	12.4953i	−0.508657	+	0.901768i
$193$	−0.369226	+	1.85622i	−0.0265774	+	0.133614i	−0.991796	−	0.127830i	$-0.959199\pi$
$193$	−0.369226	+	1.85622i	−0.0265774	+	0.133614i	0.965219	+	0.261444i	$0.0841987\pi$
$194$	−5.98890	−	1.11315i	−0.429978	−	0.0799193i
$195$	−0.898371	−	2.16886i	−0.0643337	−	0.155315i
$196$	4.46246	+	10.0505i	0.318747	+	0.717894i
$197$	−19.1222	+	12.7770i	−1.36240	+	0.910325i	−0.999767	−	0.0216078i	$-0.993121\pi$
$197$	−19.1222	+	12.7770i	−1.36240	+	0.910325i	−0.362631	+	0.931933i	$0.618121\pi$
$198$	0.556010	+	0.809887i	0.0395139	+	0.0575562i
$199$	13.6803	+	9.14088i	0.969770	+	0.647980i	0.936204	−	0.351457i	$-0.114314\pi$
$199$	13.6803	+	9.14088i	0.969770	+	0.647980i	0.0335660	+	0.999437i	$0.489314\pi$
$200$	−0.124707	−	3.30325i	−0.00881815	−	0.233575i
$201$	−2.77769	+	0.552516i	−0.195923	+	0.0389715i
$202$	10.2250	+	23.8330i	0.719429	+	1.67688i
$203$		−	0.389029i		−	0.0273045i
$204$	−10.6283	+	10.2815i	−0.744131	+	0.719852i
$205$			11.8138i			0.825114i
$206$	5.23996	−	2.24809i	0.365085	−	0.156632i
$207$	−1.68633	+	0.335433i	−0.117208	+	0.0233142i
$208$	−1.79415	+	1.98442i	−0.124402	+	0.137595i
$209$	1.00699	+	0.672852i	0.0696552	+	0.0465421i
$210$	−5.01490	+	3.44287i	−0.346061	+	0.237581i
$211$	7.79128	−	5.20596i	0.536374	−	0.358393i	−0.257690	−	0.966228i	$-0.582961\pi$
$211$	7.79128	−	5.20596i	0.536374	−	0.358393i	0.794064	+	0.607834i	$0.207961\pi$
$212$	9.96297	+	22.4390i	0.684260	+	1.54111i
$213$	−6.68096	−	16.1293i	−0.457772	−	1.10516i
$214$	3.77869	−	20.3300i	0.258306	−	1.38973i
$215$	−3.05836	+	15.3754i	−0.208579	+	1.04860i
$216$	−3.27562	−	13.7368i	−0.222878	−	0.934670i
$217$	3.33773	−	3.33773i	0.226580	−	0.226580i
$218$	−3.08893	+	4.75120i	−0.209208	+	0.321792i
$219$	−2.84666	+	6.87243i	−0.192359	+	0.464396i
$220$	−0.317044	−	12.6001i	−0.0213751	−	0.849499i
$221$	−2.35477	+	1.43502i	−0.158399	+	0.0965296i
$222$	12.3417	−	12.6561i	0.828319	−	0.849424i
$223$	−3.59342	+	8.67529i	−0.240633	+	0.580940i	−0.997346	−	0.0728073i	$-0.976804\pi$
$223$	−3.59342	+	8.67529i	−0.240633	+	0.580940i	0.756713	+	0.653748i	$0.226804\pi$
$224$	5.99445	+	3.48138i	0.400521	+	0.232609i
$225$	−0.178298	−	0.178298i	−0.0118865	−	0.0118865i
$226$	2.54582	+	12.0073i	0.169345	+	0.798717i
$227$	−2.22035	+	11.1624i	−0.147370	+	0.740877i	0.834454	+	0.551078i	$0.185783\pi$
$227$	−2.22035	+	11.1624i	−0.147370	+	0.740877i	−0.981823	+	0.189798i	$0.939217\pi$
$228$	0.777496	+	1.10252i	0.0514909	+	0.0730164i
$229$	8.04004	−	3.33029i	0.531300	−	0.220072i	−0.100872	−	0.994899i	$-0.532163\pi$
$229$	8.04004	−	3.33029i	0.531300	−	0.220072i	0.632173	+	0.774828i	$0.282163\pi$
$230$	20.4853	+	8.18494i	1.35076	+	0.539699i
$231$	5.88280	−	3.93076i	0.387060	−	0.258625i
$232$	0.526671	+	0.727245i	0.0345776	+	0.0477460i
$233$	13.6274	−	20.3948i	0.892758	−	1.33611i	−0.0486433	−	0.998816i	$-0.515490\pi$
$233$	13.6274	−	20.3948i	0.892758	−	1.33611i	0.941401	−	0.337290i	$-0.109510\pi$
$234$	0.00256674	+	0.204050i	0.000167793	+	0.0133392i
$235$	−17.0728	+	3.39599i	−1.11371	+	0.221530i
$236$	5.09635	+	1.96229i	0.331744	+	0.127734i
$237$	−24.5688			−1.59592
$238$	4.90310	+	5.19773i	0.317821	+	0.336919i
$239$		−	7.48746i		−	0.484324i	−0.970236	−	0.242162i	$-0.922143\pi$
$239$		−	7.48746i		−	0.484324i	0.970236	−	0.242162i	$-0.0778565\pi$
$240$	4.71380	−	13.2253i	0.304274	−	0.853688i
$241$	1.86114	+	9.35657i	0.119886	+	0.602710i	0.993284	+	0.115702i	$0.0369117\pi$
$241$	1.86114	+	9.35657i	0.119886	+	0.602710i	−0.873398	+	0.487008i	$0.838088\pi$
$242$	−0.0112745	−	0.896295i	−0.000724752	−	0.0576160i
$243$	−1.86075	−	1.24331i	−0.119367	−	0.0797587i
$244$	3.78814	−	21.9113i	0.242511	−	1.40273i
$245$	−5.97919	−	8.94849i	−0.381996	−	0.571698i
$246$	5.67919	−	14.2139i	0.362092	−	0.906243i
$247$	0.0962749	+	0.232428i	0.00612582	+	0.0147890i
$248$	−1.72086	+	10.7582i	−0.109275	+	0.683144i
$249$	12.1616	+	2.41909i	0.770710	+	0.153304i
$250$	3.54172	+	16.7045i	0.223998	+	1.05649i
$251$	10.7978	−	10.7978i	0.681549	−	0.681549i	−0.278800	−	0.960349i	$-0.589937\pi$
$251$	10.7978	−	10.7978i	0.681549	−	0.681549i	0.960349	+	0.278800i	$0.0899366\pi$
$252$	0.515856	−	0.116172i	0.0324959	−	0.00731812i
$253$	−23.7050	−	9.81894i	−1.49032	−	0.617312i
$254$	5.31185	+	5.17987i	0.333295	+	0.325014i
$255$	8.53551	−	11.6873i	0.534514	−	0.731888i
$256$	−15.9191	+	1.60731i	−0.994941	+	0.100457i
$257$	13.8966	+	5.75615i	0.866844	+	0.359059i	0.771380	−	0.636374i	$-0.219567\pi$
$257$	13.8966	+	5.75615i	0.866844	+	0.359059i	0.0954637	+	0.995433i	$0.469567\pi$
$258$	11.0710	−	17.0288i	0.689252	−	1.06017i
$259$	−6.04001	−	6.04001i	−0.375308	−	0.375308i
$260$	1.39938	−	2.21286i	0.0867859	−	0.137236i
$261$	0.0671773	+	0.0133624i	0.00415817	+	0.000827111i
$262$	1.08803	+	0.202230i	0.0672187	+	0.0124938i
$263$	−6.57692	+	2.72425i	−0.405550	+	0.167984i	−0.576127	−	0.817360i	$-0.695437\pi$
$263$	−6.57692	+	2.72425i	−0.405550	+	0.167984i	0.170577	+	0.985344i	$0.445437\pi$
$264$	−5.67572	+	15.3123i	−0.349317	+	0.942407i
$265$	−13.3492	−	19.9786i	−0.820038	−	1.22727i
$266$	0.537428	−	0.368959i	0.0329518	−	0.0226223i
$267$	−15.5213	+	23.2293i	−0.949891	+	1.42161i
$268$	−2.28896	−	2.17660i	−0.139820	−	0.132957i
$269$	0.419208	+	2.10750i	0.0255596	+	0.128497i	0.991458	−	0.130423i	$-0.0416335\pi$
$269$	0.419208	+	2.10750i	0.0255596	+	0.128497i	−0.965899	+	0.258920i	$0.916634\pi$
$270$	5.44922	+	12.7013i	0.331629	+	0.772978i
$271$	5.17593			0.314415			0.157208	−	0.987566i	$-0.449751\pi$
$271$	5.17593			0.314415			0.157208	+	0.987566i	$0.449751\pi$
$272$	−16.2025	−	3.07871i	−0.982422	−	0.186674i
$273$	1.46971			0.0889507
$274$	−10.0384	−	23.3980i	−0.606441	−	1.41352i
$275$	−0.734093	−	3.69054i	−0.0442675	−	0.222548i
$276$	−20.7122	−	19.6955i	−1.24673	−	1.18553i
$277$	15.9853	−	23.9236i	0.960462	−	1.43743i	0.0621532	−	0.998067i	$-0.480203\pi$
$277$	15.9853	−	23.9236i	0.960462	−	1.43743i	0.898308	−	0.439366i	$-0.144797\pi$
$278$	−4.95297	+	3.40035i	−0.297059	+	0.203939i
$279$	0.461713	+	0.691003i	0.0276421	+	0.0413693i
$280$	−6.36136	−	2.35793i	−0.380164	−	0.140913i
$281$	−6.83619	+	2.83164i	−0.407813	+	0.168922i	−0.577153	−	0.816636i	$-0.695836\pi$
$281$	−6.83619	+	2.83164i	−0.407813	+	0.168922i	0.169340	+	0.985558i	$0.445836\pi$
$282$	22.1737	+	4.12140i	1.32043	+	0.245426i
$283$	−17.7948	−	3.53961i	−1.05779	−	0.210408i	−0.364603	−	0.931163i	$-0.618795\pi$
$283$	−17.7948	−	3.53961i	−1.05779	−	0.210408i	−0.693190	+	0.720755i	$0.743795\pi$
$284$	10.4069	−	16.4565i	0.617533	−	0.976515i
$285$	−0.933620	−	0.933620i	−0.0553029	−	0.0553029i
$286$	−1.65988	+	2.55313i	−0.0981508	+	0.150970i
$287$	−6.83315	−	2.83038i	−0.403348	−	0.167072i
$288$	−0.807060	+	0.915540i	−0.0475565	+	0.0539487i
$289$	−15.1088	−	7.79256i	−0.888753	−	0.458386i
$290$	−0.629161	−	0.613529i	−0.0369456	−	0.0360277i
$291$	−7.13615	−	2.95589i	−0.418329	−	0.173277i
$292$	−8.09359	+	1.82269i	−0.473642	+	0.106665i
$293$	−0.456378	+	0.456378i	−0.0266619	+	0.0266619i	−0.720312	−	0.693650i	$-0.756001\pi$
$293$	−0.456378	+	0.456378i	−0.0266619	+	0.0266619i	0.693650	+	0.720312i	$0.256001\pi$
$294$	2.89214	+	13.6408i	0.168673	+	0.795545i
$295$	−5.24197	−	1.04269i	−0.305199	−	0.0607079i
$296$	19.4681	+	3.11408i	1.13156	+	0.181003i
$297$	−6.15174	−	14.8516i	−0.356960	−	0.861778i
$298$	−7.23405	+	18.1054i	−0.419058	+	1.04882i
$299$	−2.96113	−	4.43164i	−0.171246	−	0.256288i
$300$	0.714068	−	4.13031i	0.0412268	−	0.238463i
$301$	−8.16046	−	5.45264i	−0.470361	−	0.314285i
$302$	−0.273483	−	21.7412i	−0.0157372	−	1.25107i
$303$	6.41546	+	32.2527i	0.368559	+	1.85287i
$304$	−0.505159	+	1.41730i	−0.0289729	+	0.0812878i
$305$			21.7624i			1.24611i
$306$	−1.06595	+	0.668132i	−0.0609365	+	0.0381946i
$307$	32.3798			1.84801			0.924006	−	0.382377i	$-0.124895\pi$
$307$	32.3798			1.84801			0.924006	+	0.382377i	$0.124895\pi$
$308$	7.36389	+	2.83538i	0.419597	+	0.161561i
$309$	7.09114	−	1.41052i	0.403401	−	0.0802414i
$310$	−0.134115	−	10.6619i	−0.00761724	−	0.605552i
$311$	11.0397	−	16.5221i	0.626006	−	0.936885i	−0.373949	−	0.927449i	$-0.621997\pi$
$311$	11.0397	−	16.5221i	0.626006	−	0.936885i	0.999955	−	0.00943558i	$-0.00300348\pi$
$312$	−2.74745	+	1.98970i	−0.155544	+	0.112645i
$313$	15.2765	−	10.2074i	0.863477	−	0.576957i	−0.0430649	−	0.999072i	$-0.513712\pi$
$313$	15.2765	−	10.2074i	0.863477	−	0.576957i	0.906542	+	0.422115i	$0.138712\pi$
$314$	5.31017	+	2.12169i	0.299670	+	0.119734i
$315$	−0.478112	+	0.198040i	−0.0269385	+	0.0111583i
$316$	−15.7917	−	22.3933i	−0.888352	−	1.25972i
$317$	−0.125072	+	0.628778i	−0.00702473	+	0.0353157i	−0.984139	−	0.177401i	$-0.943231\pi$
$317$	−0.125072	+	0.628778i	−0.00702473	+	0.0353157i	0.977114	+	0.212717i	$0.0682311\pi$
$318$	6.45704	+	30.4546i	0.362093	+	1.70781i
$319$	0.722751	+	0.722751i	0.0404663	+	0.0404663i
$320$	15.0840	−	4.20419i	0.843222	−	0.235021i
$321$	10.0341	−	24.2244i	0.560048	−	1.35207i
$322$	−9.64209	+	9.88776i	−0.537333	+	0.551023i
$323$	−0.914717	+	1.25248i	−0.0508962	+	0.0696901i
$324$	−0.482992	−	19.1953i	−0.0268329	−	1.06641i
$325$	0.299122	−	0.722144i	0.0165923	−	0.0400573i
$326$	−12.9167	+	19.8678i	−0.715391	+	1.10037i
$327$	−5.08122	+	5.08122i	−0.280992	+	0.280992i
$328$	16.6056	−	3.95970i	0.916890	−	0.218638i
$329$	2.12609	−	10.6886i	0.117215	−	0.589279i
$330$	2.92057	−	15.7131i	0.160772	−	0.864980i
$331$	2.05626	+	4.96426i	0.113022	+	0.272860i	0.970262	−	0.242058i	$-0.0778224\pi$
$331$	2.05626	+	4.96426i	0.113022	+	0.272860i	−0.857239	+	0.514918i	$0.827822\pi$
$332$	5.61202	+	12.6396i	0.308000	+	0.693688i
$333$	1.25045	−	0.835522i	0.0685241	−	0.0457863i
$334$	9.66314	−	6.63402i	0.528744	−	0.362997i
$335$	2.57032	+	1.71743i	0.140432	+	0.0938333i
$336$	6.52019	+	5.89501i	0.355705	+	0.321599i
$337$	−6.54797	+	1.30247i	−0.356691	+	0.0709502i	−0.370183	−	0.928959i	$-0.620705\pi$
$337$	−6.54797	+	1.30247i	−0.356691	+	0.0709502i	0.0134926	+	0.999909i	$0.495705\pi$
$338$	16.3141	−	6.99922i	0.887372	−	0.380707i
$339$			15.5640i			0.845321i
$340$	16.1387	+	0.267649i	0.875241	+	0.0145153i
$341$			12.4019i			0.671601i
$342$	0.0452520	+	0.105476i	0.00244695	+	0.00570347i
$343$	15.0215	−	2.98796i	0.811085	−	0.161335i
$344$	22.6369	−	0.854608i	1.22050	−	0.0460773i
$345$	23.2582	+	15.5406i	1.25218	+	0.836679i
$346$	4.61732	+	6.72561i	0.248228	+	0.361571i
$347$	−1.09241	+	0.729924i	−0.0586436	+	0.0391844i	−0.584546	−	0.811360i	$-0.698728\pi$
$347$	−1.09241	+	0.729924i	−0.0586436	+	0.0391844i	0.525903	+	0.850545i	$0.323728\pi$
$348$	0.462040	+	1.04062i	0.0247679	+	0.0557832i
$349$	5.71752	+	13.8033i	0.306052	+	0.738874i	0.999825	+	0.0186812i	$0.00594674\pi$
$349$	5.71752	+	13.8033i	0.306052	+	0.738874i	−0.693774	+	0.720193i	$0.744053\pi$
$350$	−1.99129	−	0.370117i	−0.106439	−	0.0197836i
$351$	0.651459	−	3.27511i	0.0347723	−	0.174812i
$352$	−17.6045	+	4.66888i	−0.938324	+	0.248852i
$353$	−15.1514	+	15.1514i	−0.806426	+	0.806426i	−0.984091	−	0.177665i	$-0.943146\pi$
$353$	−15.1514	+	15.1514i	−0.806426	+	0.806426i	0.177665	+	0.984091i	$0.443146\pi$
$354$	5.80566	+	3.77446i	0.308567	+	0.200610i
$355$	−7.29240	+	17.6054i	−0.387040	+	0.934398i
$356$	−31.1488	+	0.783765i	−1.65088	+	0.0415395i
$357$	4.71502	+	7.73703i	0.249545	+	0.409487i
$358$	13.5442	+	13.2076i	0.715831	+	0.698046i
$359$	−12.8634	+	31.0551i	−0.678906	+	1.63902i	0.0871069	+	0.996199i	$0.472238\pi$
$359$	−12.8634	+	31.0551i	−0.678906	+	1.63902i	−0.766013	+	0.642825i	$0.777762\pi$
$360$	0.625666	−	1.01749i	0.0329755	−	0.0536262i
$361$	−13.3350	−	13.3350i	−0.701841	−	0.701841i
$362$	−20.9286	+	4.43733i	−1.09999	+	0.233221i
$363$	0.221742	−	1.11477i	0.0116384	−	0.0585103i
$364$	0.944659	+	1.33957i	0.0495136	+	0.0702124i
$365$	7.50139	−	3.10718i	0.392641	−	0.162637i
$366$	10.4617	−	26.1835i	0.546841	−	1.36863i
$367$	23.1313	−	15.4558i	1.20744	−	0.806787i	0.221711	−	0.975112i	$-0.428836\pi$
$367$	23.1313	−	15.4558i	1.20744	−	0.806787i	0.985732	+	0.168325i	$0.0538359\pi$
$368$	4.63865	−	31.5376i	0.241806	−	1.64401i
$369$	0.723454	−	1.08273i	0.0376615	−	0.0563645i
$370$	−19.2938	+	0.242697i	−1.00304	+	0.0126172i
$371$	14.7539	−	2.93473i	0.765984	−	0.152364i
$372$	−4.96405	+	12.8923i	−0.257374	+	0.668436i
$373$	−24.7806			−1.28309			−0.641546	−	0.767084i	$-0.721707\pi$
$373$	−24.7806			−1.28309			−0.641546	+	0.767084i	$0.721707\pi$
$374$	−18.7657	−	0.547384i	−0.970350	−	0.0283045i
$375$			21.6525i			1.11813i
$376$	10.4958	+	22.8594i	0.541279	+	1.17888i
$377$	0.0414221	+	0.208243i	0.00213335	+	0.0107251i
$378$	−8.65201	+	0.108834i	−0.445012	+	0.00559780i
$379$	−0.106435	−	0.0711174i	−0.00546718	−	0.00365305i	0.552834	−	0.833292i	$-0.313546\pi$
$379$	−0.106435	−	0.0711174i	−0.00546718	−	0.00365305i	−0.558301	+	0.829639i	$0.688546\pi$
$380$	0.250863	−	1.45104i	0.0128690	−	0.0744366i
$381$	5.22675	+	7.82238i	0.267774	+	0.400753i
$382$	−22.8992	−	9.14942i	−1.17162	−	0.468125i
$383$	−11.1883	−	27.0109i	−0.571694	−	1.38019i	−0.900112	−	0.435660i	$-0.856515\pi$
$383$	−11.1883	−	27.0109i	−0.571694	−	1.38019i	0.328417	−	0.944533i	$-0.393485\pi$
$384$	−20.1695	−	2.19296i	−1.02927	−	0.111909i
$385$	−7.57431	−	1.50662i	−0.386023	−	0.0767847i
$386$	−2.61832	+	0.555141i	−0.133269	+	0.0282559i
$387$	1.22185	−	1.22185i	0.0621104	−	0.0621104i
$388$	−1.89263	−	8.40417i	−0.0960838	−	0.426657i
$389$	−6.72386	−	2.78511i	−0.340913	−	0.141211i	0.205657	−	0.978624i	$-0.434067\pi$
$389$	−6.72386	−	2.78511i	−0.340913	−	0.141211i	−0.546570	+	0.837413i	$0.684067\pi$
$390$	2.31784	−	2.37690i	0.117369	−	0.120359i
$391$	13.8299	−	29.8056i	0.699410	−	1.50734i
$392$	−10.5740	+	11.4037i	−0.534066	+	0.575973i
$393$	1.29646	+	0.537010i	0.0653975	+	0.0270885i
$394$	−27.2680	−	17.7279i	−1.37374	−	0.893117i
$395$	18.9627	+	18.9627i	0.954118	+	0.954118i
$396$	−0.742548	+	1.17420i	−0.0373144	+	0.0590059i
$397$	13.5865	+	2.70252i	0.681886	+	0.135636i	0.523867	−	0.851800i	$-0.324489\pi$
$397$	13.5865	+	2.70252i	0.681886	+	0.135636i	0.158020	+	0.987436i	$0.449489\pi$
$398$	−4.25201	+	22.8765i	−0.213134	+	1.14669i
$399$	0.763687	−	0.316329i	0.0382322	−	0.0158363i
$400$	4.22355	−	2.00393i	0.211177	−	0.100196i
$401$	3.41718	+	5.11418i	0.170646	+	0.255390i	0.906929	−	0.421284i	$-0.138421\pi$
$401$	3.41718	+	5.11418i	0.170646	+	0.255390i	−0.736283	+	0.676674i	$0.763421\pi$
$402$	−2.26688	−	3.30195i	−0.113062	−	0.164686i
$403$	−1.43127	+	2.14204i	−0.0712965	+	0.106703i
$404$	−25.2732	+	26.5779i	−1.25739	+	1.32230i
$405$	3.66616	+	18.4310i	0.182173	+	0.915845i
$406$	0.505602	−	0.216917i	0.0250926	−	0.0107654i
$407$	22.4427			1.11244
$408$	−19.2886	−	8.08026i	−0.954930	−	0.400033i
$409$	−9.38934			−0.464273			−0.232136	−	0.972683i	$-0.574572\pi$
$409$	−9.38934			−0.464273			−0.232136	+	0.972683i	$0.574572\pi$
$410$	−15.3539	+	6.58724i	−0.758274	+	0.325321i
$411$	−6.29836	−	31.6640i	−0.310675	−	1.56187i
$412$	5.84347	+	5.55662i	0.287887	+	0.273755i
$413$	1.85898	−	2.78216i	0.0914744	−	0.136901i
$414$	−1.37622	−	2.00462i	−0.0676378	−	0.0985215i
$415$	−7.51947	−	11.2537i	−0.369116	−	0.552421i
$416$	−3.57945	−	1.22528i	−0.175497	−	0.0600743i
$417$	−7.03819	+	2.91531i	−0.344661	+	0.142763i
$418$	−0.312987	+	1.68392i	−0.0153087	+	0.0823630i
$419$	−2.87477	−	0.571828i	−0.140442	−	0.0279356i	0.124369	−	0.992236i	$-0.460309\pi$
$419$	−2.87477	−	0.571828i	−0.140442	−	0.0279356i	−0.264811	+	0.964300i	$0.585309\pi$
$420$	−7.27078	−	4.59793i	−0.354778	−	0.224356i
$421$	3.04237	+	3.04237i	0.148276	+	0.148276i	0.777347	−	0.629071i	$-0.216565\pi$
$421$	3.04237	+	3.04237i	0.148276	+	0.148276i	−0.629071	+	0.777347i	$0.716565\pi$
$422$	11.1103	+	7.22317i	0.540839	+	0.351618i
$423$	1.77267	+	0.734263i	0.0861900	+	0.0357011i
$424$	−23.6076	+	25.4601i	−1.14649	+	1.23645i
$425$	4.76123	−	0.742056i	0.230954	−	0.0359950i
$426$	17.2372	−	17.6764i	0.835147	−	0.856425i
$427$	−12.5874	−	5.21387i	−0.609147	−	0.252317i
$428$	28.5288	−	6.42473i	1.37899	−	0.310551i
$429$	−2.73047	+	2.73047i	−0.131828	+	0.131828i
$430$	−21.6880	+	4.59833i	−1.04589	+	0.221751i
$431$	−19.3077	−	3.84054i	−0.930019	−	0.184992i	−0.293240	−	0.956039i	$-0.594734\pi$
$431$	−19.3077	−	3.84054i	−0.930019	−	0.184992i	−0.636779	+	0.771047i	$0.719734\pi$
$432$	16.0266	−	11.9166i	0.771081	−	0.573339i
$433$	12.3719	+	29.8685i	0.594557	+	1.43539i	0.879059	+	0.476713i	$0.158172\pi$
$433$	12.3719	+	29.8685i	0.594557	+	1.43539i	−0.284502	+	0.958675i	$0.591828\pi$
$434$	6.19897	+	2.47682i	0.297560	+	0.118891i
$435$	−0.619081	−	0.926520i	−0.0296826	−	0.0444232i
$436$	−7.89726	−	1.36532i	−0.378210	−	0.0653869i
$437$	−2.49249	−	1.66543i	−0.119232	−	0.0796682i
$438$	−10.5190	+	0.132319i	−0.502619	+	0.00632244i
$439$	0.0676935	+	0.340318i	0.00323083	+	0.0162425i	0.982367	−	0.186962i	$-0.0598643\pi$
$439$	0.0676935	+	0.340318i	0.00323083	+	0.0162425i	−0.979136	+	0.203205i	$0.934864\pi$
$440$	16.1990	−	7.43771i	0.772256	−	0.354579i
$441$			1.18627i			0.0564892i
$442$	−3.17801	−	2.26023i	−0.151162	−	0.107508i
$443$	−3.22409			−0.153181			−0.0765906	−	0.997063i	$-0.524403\pi$
$443$	−3.22409			−0.153181			−0.0765906	+	0.997063i	$0.524403\pi$
$444$	23.3301	+	8.98300i	1.10720	+	0.426314i
$445$	29.9086	−	5.94918i	1.41780	−	0.282018i
$446$	−13.2785	+	0.167030i	−0.628756	+	0.00790911i
$447$	−13.7352	+	20.5562i	−0.649653	+	0.972274i
$448$	−1.18215	+	9.73188i	−0.0558513	+	0.459788i
$449$	−20.8624	+	13.9398i	−0.984555	+	0.657859i	−0.940009	−	0.341148i	$-0.889184\pi$
$449$	−20.8624	+	13.9398i	−0.984555	+	0.657859i	−0.0445460	+	0.999007i	$0.514184\pi$
$450$	0.132308	−	0.331141i	0.00623708	−	0.0156101i
$451$	17.9532	−	7.43647i	0.845385	−	0.350170i
$452$	−14.1859	+	10.0038i	−0.667247	+	0.470540i
$453$	5.37874	−	27.0407i	0.252715	−	1.27048i
$454$	−15.7453	+	3.33835i	−0.738964	+	0.156677i
$455$	−1.13435	−	1.13435i	−0.0531791	−	0.0531791i
$456$	−0.999375	+	1.62523i	−0.0468000	+	0.0761082i
$457$	−8.00244	+	19.3196i	−0.374338	+	0.903733i	0.618666	+	0.785654i	$0.287674\pi$
$457$	−8.00244	+	19.3196i	−0.374338	+	0.903733i	−0.993004	+	0.118079i	$0.962326\pi$
$458$	8.81124	+	8.59232i	0.411722	+	0.401493i
$459$	19.3312	−	7.07748i	0.902304	−	0.330348i
$460$	0.784739	+	31.1875i	0.0365887	+	1.45413i
$461$	3.65234	−	8.81753i	0.170106	−	0.410673i	−0.815719	−	0.578449i	$-0.803658\pi$
$461$	3.65234	−	8.81753i	0.170106	−	0.410673i	0.985825	+	0.167775i	$0.0536583\pi$
$462$	8.38880	+	5.45386i	0.390282	+	0.253736i
$463$	16.9486	−	16.9486i	0.787670	−	0.787670i	−0.193442	−	0.981112i	$-0.561965\pi$
$463$	16.9486	−	16.9486i	0.787670	−	0.787670i	0.981112	+	0.193442i	$0.0619651\pi$
$464$	−0.651501	+	1.08999i	−0.0302452	+	0.0506016i
$465$	2.63772	−	13.2607i	0.122321	−	0.614951i
$466$	34.1046	+	6.33896i	1.57986	+	0.293646i
$467$	−8.89795	−	21.4815i	−0.411748	−	0.994047i	−0.984668	−	0.174436i	$-0.944190\pi$
$467$	−8.89795	−	21.4815i	−0.411748	−	0.994047i	0.572921	−	0.819611i	$-0.305810\pi$
$468$	−0.263763	+	0.117112i	−0.0121924	+	0.00541348i
$469$	−1.60917	+	1.07521i	−0.0743045	+	0.0496487i
$470$	−13.9332	−	20.2951i	−0.642689	−	0.936145i
$471$	6.02897	+	4.02843i	0.277800	+	0.185620i
$472$	0.291363	+	7.71763i	0.0134111	+	0.355233i
$473$	25.2909	−	5.03067i	1.16288	−	0.231310i
$474$	−13.6993	−	31.9309i	−0.629228	−	1.46664i
$475$		−	0.439620i		−	0.0201712i
$476$	−4.02134	+	9.27051i	−0.184318	+	0.424913i
$477$			2.64849i			0.121266i
$478$	9.73110	−	4.17491i	0.445090	−	0.190956i
$479$	−12.2258	+	2.43185i	−0.558609	+	0.111114i	−0.466317	−	0.884618i	$-0.654419\pi$
$479$	−12.2258	+	2.43185i	−0.558609	+	0.111114i	−0.0922921	+	0.995732i	$0.529419\pi$
$480$	19.8166	−	1.24794i	0.904500	−	0.0569606i
$481$	3.87627	+	2.59004i	0.176742	+	0.118096i
$482$	−11.1225	+	7.63594i	−0.506618	+	0.347807i
$483$	−14.5610	+	9.72934i	−0.662548	+	0.442700i
$484$	1.15859	−	0.514416i	0.0526630	−	0.0233825i
$485$	3.22641	+	7.78925i	0.146504	+	0.353691i
$486$	0.578346	−	3.11159i	0.0262343	−	0.141144i
$487$	3.81300	−	19.1692i	0.172783	−	0.868641i	−0.792986	−	0.609240i	$-0.791475\pi$
$487$	3.81300	−	19.1692i	0.172783	−	0.868641i	0.965770	−	0.259401i	$-0.0835253\pi$
$488$	30.5893	−	7.29420i	1.38471	−	0.330193i
$489$	−21.2478	+	21.2478i	−0.960857	+	0.960857i
$490$	8.29601	−	12.7604i	0.374775	−	0.576457i
$491$	3.41532	−	8.24532i	0.154131	−	0.372106i	−0.827886	−	0.560896i	$-0.810457\pi$
$491$	3.41532	−	8.24532i	0.154131	−	0.372106i	0.982017	+	0.188790i	$0.0604566\pi$
$492$	21.6397	−	0.544498i	0.975595	−	0.0245479i
$493$	−0.963373	+	0.886131i	−0.0433882	+	0.0399093i
$494$	−0.248394	+	0.254723i	−0.0111758	+	0.0114605i
$495$	0.520326	−	1.25618i	0.0233869	−	0.0564610i
$496$	−14.9414	+	3.76210i	−0.670889	+	0.168923i
$497$	−8.43589	−	8.43589i	−0.378401	−	0.378401i
$498$	3.63717	+	17.1547i	0.162986	+	0.768721i
$499$	2.48964	−	12.5163i	0.111451	−	0.560304i	−0.884197	−	0.467114i	$-0.845294\pi$
$499$	2.48964	−	12.5163i	0.111451	−	0.560304i	0.995648	−	0.0931899i	$-0.0297064\pi$
$500$	−19.7352	+	13.9172i	−0.882586	+	0.622397i
$501$	13.7314	−	5.68772i	0.613472	−	0.254108i
$502$	20.0540	+	8.01265i	0.895056	+	0.357622i
$503$	−15.7738	+	10.5397i	−0.703318	+	0.469942i	−0.855094	−	0.518473i	$-0.826501\pi$
$503$	−15.7738	+	10.5397i	−0.703318	+	0.469942i	0.151776	+	0.988415i	$0.451501\pi$
$504$	0.438618	+	0.605658i	0.0195376	+	0.0269782i
$505$	19.9417	−	29.8449i	0.887395	−	1.32808i
$506$	−0.456406	−	36.2832i	−0.0202897	−	1.61299i
$507$	22.0776	−	4.39151i	0.980501	−	0.195034i
$508$	−3.77022	+	9.79179i	−0.167276	+	0.434440i
$509$	5.83708			0.258724			0.129362	−	0.991597i	$-0.458707\pi$
$509$	5.83708			0.258724			0.129362	+	0.991597i	$0.458707\pi$
$510$	19.9487	+	4.57650i	0.883345	+	0.202651i
$511$			5.08325i			0.224870i
$512$	−10.9652	−	19.7930i	−0.484598	−	0.874737i
$513$	−0.366401	−	1.84202i	−0.0161770	−	0.0813272i
$514$	0.267558	+	21.2703i	0.0118015	+	0.938191i
$515$	−6.56175	−	4.38442i	−0.289145	−	0.193201i
$516$	28.3046	+	4.89344i	1.24604	+	0.215422i
$517$	15.9077	+	23.8075i	0.699618	+	1.04705i
$518$	4.48208	−	11.2177i	0.196931	−	0.492879i
$519$	3.95869	+	9.55711i	0.173767	+	0.419511i
$520$	3.65623	+	0.584844i	0.160336	+	0.0256471i
$521$	−32.5154	−	6.46772i	−1.42453	−	0.283356i	−0.578146	−	0.815933i	$-0.696224\pi$
$521$	−32.5154	−	6.46772i	−1.42453	−	0.283356i	−0.846381	+	0.532577i	$0.821224\pi$
$522$	0.0200907	+	0.0947578i	0.000879347	+	0.00414744i
$523$	−6.45365	+	6.45365i	−0.282198	+	0.282198i	−0.833985	−	0.551787i	$-0.813946\pi$
$523$	−6.45365	+	6.45365i	−0.282198	+	0.282198i	0.551787	+	0.833985i	$0.313946\pi$
$524$	0.343843	+	1.52682i	0.0150208	+	0.0666995i
$525$	−2.37274	−	0.982821i	−0.103555	−	0.0428938i
$526$	−7.20778	−	7.02870i	−0.314274	−	0.306466i
$527$	−15.8681	−	0.662712i	−0.691226	−	0.0288682i
$528$	−23.0654	+	1.16148i	−1.00379	+	0.0505467i
$529$	37.4249	+	15.5019i	1.62717	+	0.673997i
$530$	18.5218	−	28.4892i	0.804536	−	1.23749i
$531$	0.416569	+	0.416569i	0.0180776	+	0.0180776i
$532$	0.779181	+	0.492742i	0.0337818	+	0.0213631i
$533$	3.95908	+	0.787510i	0.171487	+	0.0341108i
$534$	−38.8446	−	7.21997i	−1.68097	−	0.312439i
$535$	−26.4414	+	10.9524i	−1.14316	+	0.473513i
$536$	1.55253	−	4.18849i	0.0670589	−	0.180915i
$537$	13.3272	+	19.9455i	0.575109	+	0.860712i
$538$	−2.50527	+	1.71994i	−0.108010	+	0.0741519i
$539$	−9.83510	+	14.7193i	−0.423628	+	0.634004i
$540$	−13.4689	+	14.1642i	−0.579609	+	0.609530i
$541$	−2.06094	−	10.3610i	−0.0886066	−	0.445455i	−0.999464	−	0.0327344i	$-0.989578\pi$
$541$	−2.06094	−	10.3610i	−0.0886066	−	0.445455i	0.910858	−	0.412721i	$-0.135422\pi$
$542$	2.88603	+	6.72691i	0.123966	+	0.288946i
$543$	−27.1279			−1.16417
$544$	−5.03306	−	22.7743i	−0.215791	−	0.976440i
$545$	7.84358			0.335982
$546$	0.819490	+	1.91011i	0.0350709	+	0.0817451i
$547$	−3.73786	−	18.7915i	−0.159819	−	0.803465i	−0.974645	−	0.223759i	$-0.928167\pi$
$547$	−3.73786	−	18.7915i	−0.159819	−	0.803465i	0.814825	−	0.579706i	$-0.196833\pi$
$548$	24.8119	−	26.0928i	1.05991	−	1.11463i
$549$	1.33268	−	1.99450i	0.0568774	−	0.0851231i
$550$	4.38709	−	3.01186i	0.187066	−	0.128426i
$551$	0.0663444	+	0.0992915i	0.00282637	+	0.00422996i
$552$	14.0484	−	37.9007i	0.597941	−	1.61316i
$553$	−15.5112	+	6.42495i	−0.659604	+	0.273217i
$554$	40.0056	+	7.43577i	1.69967	+	0.315916i
$555$	−23.9968	−	4.77325i	−1.01861	−	0.202613i
$556$	−7.18099	−	4.54114i	−0.304542	−	0.192587i
$557$	0.284535	+	0.284535i	0.0120561	+	0.0120561i	0.713109	−	0.701053i	$-0.247286\pi$
$557$	0.284535	+	0.284535i	0.0120561	+	0.0120561i	−0.701053	+	0.713109i	$0.747286\pi$
$558$	−0.640618	+	0.985361i	−0.0271195	+	0.0417137i
$559$	4.94878	+	2.04985i	0.209311	+	0.0866995i
$560$	−0.482525	−	9.58231i	−0.0203904	−	0.404926i
$561$	−23.1338	−	5.61440i	−0.976711	−	0.237040i
$562$	−7.49192	−	7.30578i	−0.316028	−	0.308176i
$563$	−26.4264	−	10.9462i	−1.11374	−	0.461326i	−0.251516	−	0.967853i	$-0.580929\pi$
$563$	−26.4264	−	10.9462i	−1.11374	−	0.461326i	−0.862224	+	0.506527i	$0.830929\pi$
$564$	7.00741	+	31.1162i	0.295065	+	1.31023i
$565$	12.0126	−	12.0126i	0.505375	−	0.505375i
$566$	−5.32191	−	25.1007i	−0.223696	−	1.05506i
$567$	−11.5389	−	2.29523i	−0.484588	−	0.0963906i
$568$	27.1905	+	4.34934i	1.14089	+	0.182494i
$569$	5.47290	+	13.2127i	0.229436	+	0.553907i	0.996109	−	0.0881307i	$-0.0280893\pi$
$569$	5.47290	+	13.2127i	0.229436	+	0.553907i	−0.766673	+	0.642038i	$0.778089\pi$
$570$	0.692807	−	1.73396i	0.0290185	−	0.0726274i
$571$	8.23273	+	12.3212i	0.344529	+	0.515624i	0.962755	−	0.270377i	$-0.0871482\pi$
$571$	8.23273	+	12.3212i	0.344529	+	0.515624i	−0.618226	+	0.786001i	$0.712148\pi$
$572$	−4.24371	−	0.733675i	−0.177439	−	0.0306765i
$573$	−25.9988	−	17.3719i	−1.08612	−	0.725720i
$574$	−0.131562	−	10.4589i	−0.00549131	−	0.436546i
$575$	1.81701	+	9.13474i	0.0757746	+	0.380945i
$576$	−1.63989	−	0.538404i	−0.0683288	−	0.0224335i
$577$		−	8.57290i		−	0.356895i	−0.983949	−	0.178447i	$-0.942893\pi$
$577$		−	8.57290i		−	0.356895i	0.983949	−	0.178447i	$-0.0571074\pi$
$578$	1.70314	−	23.9812i	0.0708412	−	0.997488i
$579$	−3.39389			−0.141045
$580$	0.446562	−	1.15979i	0.0185425	−	0.0481575i
$581$	8.31069	−	1.65310i	0.344785	−	0.0685821i
$582$	−0.137396	−	10.9227i	−0.00569526	−	0.452760i
$583$	−21.9580	+	32.8625i	−0.909409	+	1.36103i
$584$	−6.88175	−	9.50255i	−0.284769	−	0.393218i
$585$	0.234842	−	0.156916i	0.00970951	−	0.00648768i
$586$	−0.847603	−	0.338662i	−0.0350142	−	0.0139900i
$587$	38.4923	−	15.9440i	1.58875	−	0.658080i	0.598978	−	0.800766i	$-0.295574\pi$
$587$	38.4923	−	15.9440i	1.58875	−	0.658080i	0.989768	+	0.142686i	$0.0455739\pi$
$588$	−16.1156	+	11.3647i	−0.664597	+	0.468672i
$589$	−0.282674	+	1.42110i	−0.0116474	+	0.0585554i
$590$	−1.56772	−	7.39413i	−0.0645419	−	0.304412i
$591$	−29.1620	−	29.1620i	−1.19956	−	1.19956i
$592$	6.80794	+	27.0382i	0.279805	+	1.11126i
$593$	10.3077	−	24.8849i	0.423285	−	1.02190i	−0.558086	−	0.829783i	$-0.688464\pi$
$593$	10.3077	−	24.8849i	0.423285	−	1.02190i	0.981372	−	0.192119i	$-0.0615358\pi$
$594$	15.8718	−	16.2762i	0.651228	−	0.667821i
$595$	2.33245	−	9.61075i	0.0956213	−	0.394002i
$596$	−27.5643	+	0.693572i	−1.12908	+	0.0284098i
$597$	−11.2909	+	27.2587i	−0.462107	+	1.11563i
$598$	4.10850	−	6.31946i	0.168009	−	0.258422i
$599$	13.2446	−	13.2446i	0.541159	−	0.541159i	−0.382709	−	0.923869i	$-0.625009\pi$
$599$	13.2446	−	13.2446i	0.541159	−	0.541159i	0.923869	+	0.382709i	$0.125009\pi$
$600$	5.76612	−	1.37497i	0.235401	−	0.0561327i
$601$	−8.73780	+	43.9279i	−0.356422	+	1.79185i	0.220855	+	0.975307i	$0.429115\pi$
$601$	−8.73780	+	43.9279i	−0.356422	+	1.79185i	−0.577277	+	0.816548i	$0.695885\pi$
$602$	2.53637	−	13.6461i	0.103375	−	0.556173i
$603$	−0.130395	−	0.314802i	−0.00531010	−	0.0128197i
$604$	28.1035	−	12.4781i	1.14352	−	0.507725i
$605$	−1.03155	+	0.689258i	−0.0419384	+	0.0280223i
$606$	−38.3401	+	26.3216i	−1.55746	+	1.06924i
$607$	20.8154	+	13.9084i	0.844872	+	0.564525i	0.900961	−	0.433900i	$-0.142863\pi$
$607$	20.8154	+	13.9084i	0.844872	+	0.564525i	−0.0560889	+	0.998426i	$0.517863\pi$
$608$	−2.12367	+	0.133737i	−0.0861261	+	0.00542377i
$609$	0.684222	−	0.136100i	0.0277261	−	0.00551506i
$610$	−28.2835	+	12.1344i	−1.14517	+	0.491308i
$611$			5.94785i			0.240624i
$612$	−1.46270	−	1.01283i	−0.0591262	−	0.0409411i
$613$		−	19.7924i		−	0.799407i	−0.916644	−	0.399704i	$-0.869113\pi$
$613$		−	19.7924i		−	0.799407i	0.916644	−	0.399704i	$-0.130887\pi$
$614$	18.0546	+	42.0825i	0.728623	+	1.69831i
$615$	−20.7781	+	4.13302i	−0.837854	+	0.166660i
$616$	0.421001	+	11.1515i	0.0169626	+	0.449306i
$617$	−20.3091	−	13.5701i	−0.817613	−	0.546312i	0.0749743	−	0.997185i	$-0.476113\pi$
$617$	−20.3091	−	13.5701i	−0.817613	−	0.546312i	−0.892588	+	0.450874i	$0.851113\pi$
$618$	5.78711	+	8.42953i	0.232792	+	0.339085i
$619$	10.3585	−	6.92136i	0.416345	−	0.278193i	−0.329703	−	0.944085i	$-0.606949\pi$
$619$	10.3585	−	6.92136i	0.416345	−	0.278193i	0.746048	+	0.665892i	$0.231949\pi$
$620$	13.7819	−	6.11922i	0.553495	−	0.245754i
$621$	15.2267	+	36.7604i	0.611025	+	1.47514i
$622$	27.6287	+	5.13529i	1.10781	+	0.205907i
$623$	−3.72454	+	18.7245i	−0.149220	+	0.750182i
$624$	−4.11786	−	2.46130i	−0.164846	−	0.0985307i
$625$	12.5798	−	12.5798i	0.503193	−	0.503193i
$626$	21.7841	+	14.1626i	0.870666	+	0.566051i
$627$	−0.831115	+	2.00649i	−0.0331916	+	0.0801315i
$628$	0.203420	+	8.08441i	0.00811733	+	0.322603i
$629$	−1.19925	+	28.7151i	−0.0478173	+	1.14495i
$630$	−0.523973	−	0.510954i	−0.0208756	−	0.0203569i
$631$	5.50757	−	13.2964i	0.219253	−	0.529323i	−0.775533	−	0.631307i	$-0.782519\pi$
$631$	5.50757	−	13.2964i	0.219253	−	0.529323i	0.994786	+	0.101984i	$0.0325190\pi$
$632$	20.2983	−	33.0099i	0.807422	−	1.31306i
$633$	11.8820	+	11.8820i	0.472266	+	0.472266i
$634$	−0.886932	+	0.188049i	−0.0352246	+	0.00746838i
$635$	2.00336	−	10.0716i	0.0795010	−	0.399679i
$636$	−35.9800	+	25.3730i	−1.42670	+	1.00611i
$637$	−3.39741	+	1.40725i	−0.134610	+	0.0557574i
$638$	−0.536328	+	1.34232i	−0.0212334	+	0.0531430i
$639$	1.74646	−	1.16695i	0.0690889	−	0.0461637i
$640$	13.8746	+	17.2598i	0.548443	+	0.682252i
$641$	6.71834	−	10.0547i	0.265359	−	0.397137i	−0.674731	−	0.738063i	$-0.735741\pi$
$641$	6.71834	−	10.0547i	0.265359	−	0.397137i	0.940090	+	0.340926i	$0.110741\pi$
$642$	37.0782	−	0.466406i	1.46336	−	0.0184076i
$643$	−14.4997	+	2.88418i	−0.571814	+	0.113741i	−0.472524	−	0.881318i	$-0.656657\pi$
$643$	−14.4997	+	2.88418i	−0.571814	+	0.113741i	−0.0992897	+	0.995059i	$0.531657\pi$
$644$	−18.2270	−	7.01808i	−0.718243	−	0.276551i
$645$	−28.1122			−1.10692
$646$	−2.13783	−	0.490445i	−0.0841117	−	0.0192963i
$647$		−	42.7884i		−	1.68219i	−0.540889	−	0.841094i	$-0.681912\pi$
$647$		−	42.7884i		−	1.68219i	0.540889	−	0.841094i	$-0.318088\pi$
$648$	24.6780	−	11.3308i	0.969442	−	0.445116i
$649$	1.71511	+	8.62246i	0.0673241	+	0.338461i
$650$	1.10532	−	0.0139038i	0.0433543	−	0.000545354i
$651$	7.03808	+	4.70270i	0.275844	+	0.184313i
$652$	−33.0234	−	5.70925i	−1.29330	−	0.223592i
$653$	−14.1559	−	21.1858i	−0.553962	−	0.829063i	0.443786	−	0.896133i	$-0.353635\pi$
$653$	−14.1559	−	21.1858i	−0.553962	−	0.829063i	−0.997748	+	0.0670696i	$0.978635\pi$
$654$	−9.43704	−	3.77060i	−0.369018	−	0.147442i
$655$	−0.586156	−	1.41511i	−0.0229030	−	0.0552928i
$656$	14.4053	+	19.3736i	0.562432	+	0.756412i
$657$	−0.877772	−	0.174600i	−0.0342452	−	0.00681179i
$658$	15.0769	−	3.19663i	0.587758	−	0.124618i
$659$	−27.7278	+	27.7278i	−1.08012	+	1.08012i	−0.0836262	+	0.996497i	$0.526650\pi$
$659$	−27.7278	+	27.7278i	−1.08012	+	1.08012i	−0.996497	+	0.0836262i	$0.973350\pi$
$660$	22.0501	−	4.96571i	0.858299	−	0.193290i
$661$	−15.6036	−	6.46322i	−0.606909	−	0.251390i	0.0579970	−	0.998317i	$-0.481529\pi$
$661$	−15.6036	−	6.46322i	−0.606909	−	0.251390i	−0.664906	+	0.746927i	$0.731529\pi$
$662$	−5.30526	+	5.44043i	−0.206195	+	0.211448i
$663$	−3.34770	−	3.63952i	−0.130014	−	0.141347i
$664$	−13.2979	+	14.3414i	−0.516058	+	0.556553i
$665$	−0.833579	−	0.345280i	−0.0323248	−	0.0133894i
$666$	1.78312	+	1.15927i	0.0690946	+	0.0449208i
$667$	−1.78894	−	1.78894i	−0.0692679	−	0.0692679i
$668$	14.0100	+	8.85968i	0.542062	+	0.342791i
$669$	−16.5152	−	3.28508i	−0.638514	−	0.127008i
$670$	−0.798888	+	4.29814i	−0.0308637	+	0.166052i
$671$	33.0718	−	13.6988i	1.27672	−	0.528836i
$672$	−4.02589	+	11.7610i	−0.155302	+	0.453689i
$673$	3.30312	+	4.94346i	0.127326	+	0.190556i	0.889655	−	0.456632i	$-0.150945\pi$
$673$	3.30312	+	4.94346i	0.127326	+	0.190556i	−0.762330	+	0.647189i	$0.775945\pi$
$674$	−5.34382	−	7.78384i	−0.205836	−	0.299822i
$675$	−3.24186	+	4.85179i	−0.124779	+	0.186745i
$676$	18.1931	+	17.3000i	0.699735	+	0.665386i
$677$	−8.64097	−	43.4411i	−0.332099	−	1.66958i	−0.680898	−	0.732379i	$-0.738410\pi$
$677$	−8.64097	−	43.4411i	−0.332099	−	1.66958i	0.348798	−	0.937198i	$-0.386590\pi$
$678$	−20.2278	+	8.67829i	−0.776844	+	0.333288i
$679$	−5.27831			−0.202563
$680$	8.65086	+	21.1239i	0.331745	+	0.810064i
$681$	−20.4092			−0.782083
$682$	−16.1182	+	6.91515i	−0.617197	+	0.264795i
$683$	−3.38103	−	16.9976i	−0.129371	−	0.650394i	−0.989989	−	0.141143i	$-0.954922\pi$
$683$	−3.38103	−	16.9976i	−0.129371	−	0.650394i	0.860618	−	0.509252i	$-0.170078\pi$
$684$	−0.111850	+	0.117624i	−0.00427668	+	0.00449746i
$685$	−19.5777	+	29.3001i	−0.748027	+	1.11950i
$686$	12.2591	+	17.8567i	0.468055	+	0.681771i
$687$	8.67007	+	12.9757i	0.330784	+	0.495053i
$688$	13.7327	+	28.9435i	0.523555	+	1.10346i
$689$	−7.58512	+	3.14186i	−0.288970	+	0.119695i
$690$	−7.22894	+	38.8928i	−0.275201	+	1.48062i
$691$	36.0094	+	7.16272i	1.36986	+	0.272483i	0.824569	−	0.565762i	$-0.191418\pi$
$691$	36.0094	+	7.16272i	1.36986	+	0.272483i	0.545294	+	0.838245i	$0.316418\pi$
$692$	−6.16639	+	9.75102i	−0.234411	+	0.370678i
$693$	0.601916	+	0.601916i	0.0228649	+	0.0228649i
$694$	−1.55776	−	1.01276i	−0.0591318	−	0.0384437i
$695$	7.68232	+	3.18212i	0.291407	+	0.120705i
$696$	−1.09482	+	1.18073i	−0.0414991	+	0.0447554i
$697$	8.55554	+	23.3684i	0.324064	+	0.885140i
$698$	−14.7515	+	15.1273i	−0.558352	+	0.572578i
$699$	40.6377	+	16.8327i	1.53706	+	0.636671i
$700$	−0.629292	−	2.79435i	−0.0237850	−	0.105617i
$701$	−27.3532	+	27.3532i	−1.03312	+	1.03312i	−0.0336832	+	0.999433i	$0.510724\pi$
$701$	−27.3532	+	27.3532i	−1.03312	+	1.03312i	−0.999433	+	0.0336832i	$0.989276\pi$
$702$	4.61974	−	0.979487i	0.174361	−	0.0369683i
$703$	2.57164	+	0.511531i	0.0969912	+	0.0192928i
$704$	−15.8840	−	20.2764i	−0.598650	−	0.764197i
$705$	−11.9457	−	28.8395i	−0.449901	−	1.08616i
$706$	−28.1397	−	11.2433i	−1.05905	−	0.423147i
$707$	12.4847	+	18.6846i	0.469535	+	0.702708i
$708$	−1.66833	+	9.64993i	−0.0626996	+	0.362667i
$709$	3.50447	+	2.34161i	0.131613	+	0.0879411i	0.619634	−	0.784891i	$-0.287281\pi$
$709$	3.50447	+	2.34161i	0.131613	+	0.0879411i	−0.488021	+	0.872832i	$0.662281\pi$
$710$	−26.9471	+	0.338967i	−1.01131	+	0.0127212i
$711$	−0.576677	−	2.89915i	−0.0216271	−	0.108727i
$712$	−18.3868	−	40.0456i	−0.689075	−	1.50077i
$713$		−	30.6970i		−	1.14961i
$714$	−7.42642	+	10.4420i	−0.277927	+	0.390780i
$715$	4.21487			0.157627
$716$	−9.61330	+	24.9671i	−0.359266	+	0.933065i
$717$	13.1689	−	2.61946i	0.491802	−	0.0978255i
$718$	−47.5333	+	0.597921i	−1.77393	+	0.0223142i
$719$	−5.09241	+	7.62133i	−0.189915	+	0.284227i	−0.914192	−	0.405281i	$-0.867174\pi$
$719$	−5.09241	+	7.62133i	−0.189915	+	0.284227i	0.724277	+	0.689509i	$0.242174\pi$
$720$	1.67124	+	0.245812i	0.0622835	+	0.00916086i
$721$	4.10804	−	2.74490i	0.152991	−	0.102226i
$722$	9.89542	−	24.7662i	0.368269	−	0.921704i
$723$	−15.8052	+	6.54672i	−0.587801	+	0.243475i
$724$	−17.4365	−	24.7258i	−0.648024	−	0.918926i
$725$	0.0723830	−	0.363894i	0.00268824	−	0.0135147i
$726$	1.57246	−	0.333395i	0.0583593	−	0.0123734i
$727$	21.5430	+	21.5430i	0.798984	+	0.798984i	0.982935	−	0.183951i	$-0.0588888\pi$
$727$	21.5430	+	21.5430i	0.798984	+	0.798984i	−0.183951	+	0.982935i	$0.558889\pi$
$728$	−1.21424	+	1.97465i	−0.0450028	+	0.0731856i
$729$	−9.48633	+	22.9020i	−0.351346	+	0.848224i
$730$	8.22093	+	8.01668i	0.304270	+	0.296711i
$731$	5.08524	+	32.6282i	0.188084	+	1.20680i
$732$	39.8627	−	1.00302i	1.47337	−	0.0370729i
$733$	18.7593	−	45.2889i	0.692889	−	1.67278i	−0.0459883	−	0.998942i	$-0.514644\pi$
$733$	18.7593	−	45.2889i	0.692889	−	1.67278i	0.738877	−	0.673840i	$-0.235356\pi$
$734$	32.9849	+	21.4446i	1.21749	+	0.791536i
$735$	13.6468	−	13.6468i	0.503368	−	0.503368i
$736$	43.5743	−	11.5563i	1.60617	−	0.425971i
$737$	0.992003	−	4.98714i	0.0365409	−	0.183703i
$738$	1.81056	+	0.336525i	0.0666475	+	0.0123877i
$739$	−6.67288	−	16.1098i	−0.245466	−	0.592607i	0.752343	−	0.658772i	$-0.228924\pi$
$739$	−6.67288	−	16.1098i	−0.245466	−	0.592607i	−0.997809	+	0.0661647i	$0.978924\pi$
$740$	−11.0734	−	24.9399i	−0.407067	−	0.916810i
$741$	−0.375112	+	0.250642i	−0.0137801	+	0.00920756i
$742$	12.0407	+	17.5386i	0.442028	+	0.643861i
$743$	27.4270	+	18.3261i	1.00620	+	0.672321i	0.945428	−	0.325831i	$-0.105644\pi$
$743$	27.4270	+	18.3261i	1.00620	+	0.672321i	0.0607714	+	0.998152i	$0.480644\pi$
$744$	−19.5234	+	0.737067i	−0.715764	+	0.0270222i
$745$	26.4668	−	5.26457i	0.969668	−	0.192879i
$746$	−13.8174	−	32.2062i	−0.505890	−	1.17915i
$747$			1.49187i			0.0545845i
$748$	−9.75209	−	24.6941i	−0.356572	−	0.902904i
$749$		−	17.9178i		−	0.654701i
$750$	−28.1407	+	12.0732i	−1.02755	+	0.440849i
$751$	11.7255	−	2.33235i	0.427869	−	0.0851085i	0.0235420	−	0.999723i	$-0.492506\pi$
$751$	11.7255	−	2.33235i	0.427869	−	0.0851085i	0.404327	+	0.914614i	$0.367506\pi$
$752$	−23.8569	+	26.3870i	−0.869971	+	0.962234i
$753$	22.7686	+	15.2135i	0.829735	+	0.554411i
$754$	−0.247547	+	0.169948i	−0.00901513	+	0.00618914i
$755$	−25.0220	+	16.7192i	−0.910645	+	0.608473i
$756$	−4.96570	−	11.1839i	−0.180601	−	0.406756i
$757$	14.1245	+	34.0995i	0.513363	+	1.23937i	0.941915	+	0.335851i	$0.109024\pi$
$757$	14.1245	+	34.0995i	0.513363	+	1.23937i	−0.428552	+	0.903517i	$0.640976\pi$
$758$	0.0330813	−	0.177982i	0.00120157	−	0.00646460i
$759$	8.97640	−	45.1274i	0.325823	−	1.63802i
$760$	2.02572	−	0.483045i	0.0734806	−	0.0175219i
$761$	2.35195	−	2.35195i	0.0852581	−	0.0852581i	−0.663192	−	0.748450i	$-0.730799\pi$
$761$	2.35195	−	2.35195i	0.0852581	−	0.0852581i	0.748450	+	0.663192i	$0.230799\pi$
$762$	−7.25201	+	11.1546i	−0.262712	+	0.404089i
$763$	−1.87918	+	4.53675i	−0.0680309	+	0.164241i
$764$	−0.877210	−	34.8625i	−0.0317363	−	1.26128i
$765$	1.57946	+	0.732877i	0.0571056	+	0.0264972i
$766$	28.8663	−	29.6018i	1.04298	−	1.06956i
$767$	−0.698859	+	1.68720i	−0.0252344	+	0.0609211i
$768$	−8.39615	−	27.4361i	−0.302970	−	0.990013i
$769$	−31.8749	−	31.8749i	−1.14944	−	1.14944i	−0.986663	−	0.162775i	$-0.947956\pi$
$769$	−31.8749	−	31.8749i	−1.14944	−	1.14944i	−0.162775	−	0.986663i	$-0.552044\pi$
$770$	−2.26525	−	10.6840i	−0.0816340	−	0.385026i
$771$	−5.26222	+	26.4550i	−0.189514	+	0.952753i
$772$	−2.18143	−	3.09337i	−0.0785115	−	0.111333i
$773$	−27.7784	+	11.5062i	−0.999121	+	0.413849i	−0.821475	−	0.570245i	$-0.806848\pi$
$773$	−27.7784	+	11.5062i	−0.999121	+	0.413849i	−0.177646	+	0.984094i	$0.556848\pi$
$774$	2.26928	+	0.906696i	0.0815675	+	0.0325905i
$775$	3.74311	−	2.50106i	0.134456	−	0.0898408i
$776$	9.86719	−	7.14582i	0.354212	−	0.256520i
$777$	8.51006	−	12.7362i	0.305297	−	0.456909i
$778$	−0.129458	−	10.2916i	−0.00464130	−	0.368972i
$779$	2.22671	−	0.442920i	0.0797801	−	0.0158692i
$780$	4.38154	+	1.68706i	0.156884	+	0.0604065i
$781$	31.3449			1.12161
$782$	46.4484	+	1.35487i	1.66099	+	0.0484501i
$783$		−	1.58505i		−	0.0566451i
$784$	−20.7167	−	7.38393i	−0.739884	−	0.263712i
$785$	−1.54406	−	7.76251i	−0.0551098	−	0.277056i
$786$	0.0249614	+	1.98437i	0.000890343	+	0.0707802i
$787$	−2.06085	−	1.37701i	−0.0734612	−	0.0490852i	0.518297	−	0.855201i	$-0.326566\pi$
$787$	−2.06085	−	1.37701i	−0.0734612	−	0.0490852i	−0.591758	+	0.806115i	$0.701566\pi$
$788$	7.83579	−	45.3237i	0.279139	−	1.61459i
$789$	−7.09230	−	10.6144i	−0.252493	−	0.377882i
$790$	−14.0716	+	35.2183i	−0.500644	+	1.25301i
$791$	4.07012	+	9.82614i	0.144717	+	0.349377i
$792$	−1.94009	−	0.310334i	−0.0689381	−	0.0110272i
$793$	7.29305	+	1.45068i	0.258984	+	0.0515151i
$794$	4.06331	+	19.1646i	0.144202	+	0.680126i
$795$	30.4680	−	30.4680i	1.08059	−	1.08059i
$796$	−32.1023	+	7.22949i	−1.13784	+	0.256242i
$797$	51.3029	+	21.2504i	1.81724	+	0.752726i	0.977884	+	0.209148i	$0.0670691\pi$
$797$	51.3029	+	21.2504i	1.81724	+	0.752726i	0.839359	+	0.543578i	$0.182931\pi$
$798$	0.836940	+	0.816146i	0.0296274	+	0.0288913i
$799$	−31.3115	+	19.0815i	−1.10772	+	0.675055i
$800$	4.95941	+	4.37178i	0.175342	+	0.154566i
$801$	−3.10541	−	1.28630i	−0.109724	−	0.0454492i
$802$	−4.74128	+	7.29275i	−0.167420	+	0.257516i
$803$	−9.44383	−	9.44383i	−0.333266	−	0.333266i
$804$	3.02740	−	4.78728i	0.106768	−	0.168834i
$805$	18.7478	+	3.72916i	0.660772	+	0.131436i
$806$	−3.58197	−	0.665774i	−0.126169	−	0.0234509i
$807$	−3.56000	+	1.47460i	−0.125318	+	0.0519085i
$808$	−48.6341	−	18.0269i	−1.71094	−	0.634185i
$809$	−8.10104	−	12.1241i	−0.284817	−	0.426260i	0.661281	−	0.750138i	$-0.270013\pi$
$809$	−8.10104	−	12.1241i	−0.284817	−	0.426260i	−0.946099	+	0.323879i	$0.895013\pi$
$810$	−21.9097	+	15.0416i	−0.769830	+	0.528509i
$811$	−17.2239	+	25.7774i	−0.604813	+	0.905166i	−0.999909	−	0.0134736i	$-0.995711\pi$
$811$	−17.2239	+	25.7774i	−0.604813	+	0.905166i	0.395097	+	0.918640i	$0.370711\pi$
$812$	0.563835	+	0.536157i	0.0197867	+	0.0188154i
$813$	1.81078	+	9.10340i	0.0635068	+	0.319270i
$814$	12.5137	+	29.1677i	0.438606	+	1.02233i
$815$	32.7989			1.14890
$816$	−0.253569	−	29.5740i	−0.00887668	−	1.03530i
$817$	3.01267			0.105400
$818$	−5.23537	−	12.2029i	−0.183051	−	0.426663i
$819$	0.0344968	+	0.173427i	0.00120542	+	0.00606004i
$820$	−17.1222	−	16.2817i	−0.597935	−	0.568583i
$821$	−15.5972	+	23.3428i	−0.544345	+	0.814669i	−0.997031	−	0.0770006i	$-0.975466\pi$
$821$	−15.5972	+	23.3428i	−0.544345	+	0.814669i	0.452687	+	0.891670i	$0.350466\pi$
$822$	37.6403	−	25.8411i	1.31286	−	0.901313i
$823$	8.77887	+	13.1385i	0.306012	+	0.457980i	0.952322	−	0.305096i	$-0.0986885\pi$
$823$	8.77887	+	13.1385i	0.306012	+	0.457980i	−0.646309	+	0.763075i	$0.723688\pi$
$824$	−3.96343	+	10.6928i	−0.138073	+	0.372501i
$825$	6.23408	−	2.58224i	0.217043	−	0.0899020i
$826$	4.65238	+	0.864730i	0.161877	+	0.0300878i
$827$	7.06616	+	1.40555i	0.245714	+	0.0488756i	0.316411	−	0.948622i	$-0.397522\pi$
$827$	7.06616	+	1.40555i	0.245714	+	0.0488756i	−0.0706965	+	0.997498i	$0.522522\pi$
$828$	1.83794	−	2.90636i	0.0638728	−	0.101003i
$829$	−9.08087	−	9.08087i	−0.315392	−	0.315392i	0.531602	−	0.846994i	$-0.321590\pi$
$829$	−9.08087	−	9.08087i	−0.315392	−	0.315392i	−0.846994	+	0.531602i	$0.821590\pi$
$830$	10.4331	−	16.0476i	0.362139	−	0.557020i
$831$	47.6692	+	19.7452i	1.65362	+	0.684954i
$832$	−0.403417	−	5.33524i	−0.0139860	−	0.184966i
$833$	−18.3076	−	13.3705i	−0.634321	−	0.463259i
$834$	−7.71330	−	7.52166i	−0.267090	−	0.260454i
$835$	−14.9880	−	6.20825i	−0.518683	−	0.214845i
$836$	−2.36302	+	0.532156i	−0.0817268	+	0.0184050i
$837$	13.5992	−	13.5992i	0.470057	−	0.470057i
$838$	−0.859759	−	4.05505i	−0.0296999	−	0.140079i
$839$	−8.78573	−	1.74759i	−0.303317	−	0.0603335i	0.0410853	−	0.999156i	$-0.486918\pi$
$839$	−8.78573	−	1.74759i	−0.303317	−	0.0603335i	−0.344402	+	0.938822i	$0.611918\pi$
$840$	1.92162	−	12.0132i	0.0663021	−	0.414496i
$841$	−11.0593	−	26.6994i	−0.381353	−	0.920669i
$842$	−2.25764	+	5.65041i	−0.0778033	+	0.194726i
$843$	−7.37189	−	11.0328i	−0.253901	−	0.379990i
$844$	−3.19267	+	18.4670i	−0.109896	+	0.635661i
$845$	−20.4294	−	13.6505i	−0.702793	−	0.469591i
$846$	0.0341302	+	2.71327i	0.00117342	+	0.0932840i
$847$	−0.151528	−	0.761784i	−0.00520657	−	0.0261752i
$848$	−46.2526	−	16.4855i	−1.58832	−	0.566115i
$849$		−	32.5358i		−	1.11663i
$850$	3.61922	+	5.77418i	0.124138	+	0.198053i
$851$	−55.5496			−1.90422
$852$	32.5845	+	12.5463i	1.11632	+	0.429828i
$853$	10.5899	−	2.10646i	0.362591	−	0.0721239i	−0.0104326	−	0.999946i	$-0.503321\pi$
$853$	10.5899	−	2.10646i	0.362591	−	0.0721239i	0.373024	+	0.927822i	$0.378321\pi$
$854$	−0.242352	−	19.2664i	−0.00829313	−	0.659284i
$855$	0.0882545	−	0.132082i	0.00301824	−	0.00451711i
$856$	24.2572	+	33.4952i	0.829095	+	1.14484i
$857$	19.6889	−	13.1557i	0.672560	−	0.449390i	−0.171825	−	0.985128i	$-0.554966\pi$
$857$	19.6889	−	13.1557i	0.672560	−	0.449390i	0.844385	+	0.535737i	$0.179966\pi$
$858$	−5.07114	−	2.02619i	−0.173126	−	0.0691729i
$859$	−26.8079	+	11.1042i	−0.914675	+	0.378871i	−0.789845	−	0.613307i	$-0.789839\pi$
$859$	−26.8079	+	11.1042i	−0.914675	+	0.378871i	−0.124831	+	0.992178i	$0.539839\pi$
$860$	−18.0692	−	25.6229i	−0.616154	−	0.873734i
$861$	2.58751	−	13.0083i	0.0881822	−	0.443322i
$862$	−5.77436	−	27.2347i	−0.196675	−	0.927619i
$863$	37.4403	+	37.4403i	1.27448	+	1.27448i	0.943711	+	0.330771i	$0.107309\pi$
$863$	37.4403	+	37.4403i	1.27448	+	1.27448i	0.330771	+	0.943711i	$0.392691\pi$
$864$	24.4237	+	14.1845i	0.830911	+	0.482565i
$865$	4.32098	−	10.4318i	0.146918	−	0.354691i
$866$	−31.9202	+	32.7335i	−1.08469	+	1.11233i
$867$	8.41975	−	29.2995i	0.285950	−	0.995063i
$868$	0.237467	+	9.43755i	0.00806017	+	0.320331i
$869$	16.8808	−	40.7537i	0.572640	−	1.38248i
$870$	0.858962	−	1.32121i	0.0291215	−	0.0447930i
$871$	0.746887	−	0.746887i	0.0253073	−	0.0253073i
$872$	−2.62897	−	11.0250i	−0.0890282	−	0.373353i
$873$	0.181300	−	0.911455i	0.00613607	−	0.0308481i
$874$	0.774698	−	4.16799i	0.0262045	−	0.140984i
$875$	5.66231	+	13.6700i	0.191421	+	0.462131i
$876$	−6.03725	−	13.5973i	−0.203980	−	0.459411i
$877$	8.87840	−	5.93236i	0.299802	−	0.200322i	−0.396566	−	0.918006i	$-0.629798\pi$
$877$	8.87840	−	5.93236i	0.299802	−	0.200322i	0.696368	+	0.717685i	$0.254798\pi$
$878$	−0.404550	+	0.277735i	−0.0136529	+	0.00937311i
$879$	−0.962337	−	0.643013i	−0.0324588	−	0.0216883i
$880$	18.6988	+	16.9059i	0.630336	+	0.569897i
$881$	−8.82040	+	1.75449i	−0.297167	+	0.0591102i	−0.341422	−	0.939910i	$-0.610909\pi$
$881$	−8.82040	+	1.75449i	−0.297167	+	0.0591102i	0.0442552	+	0.999020i	$0.485909\pi$
$882$	−1.54174	+	0.661451i	−0.0519132	+	0.0222722i
$883$			39.6935i			1.33579i	0.744254	+	0.667896i	$0.232805\pi$
$883$			39.6935i			1.33579i	−0.744254	+	0.667896i	$0.767195\pi$
$884$	1.16550	−	5.39058i	0.0391999	−	0.181305i
$885$		−	9.58433i		−	0.322174i
$886$	−1.79771	−	4.19020i	−0.0603953	−	0.140772i
$887$	−22.8082	+	4.53683i	−0.765824	+	0.152332i	−0.562520	−	0.826784i	$-0.690168\pi$
$887$	−22.8082	+	4.53683i	−0.765824	+	0.152332i	−0.203304	+	0.979116i	$0.565168\pi$
$888$	1.33380	+	35.3299i	0.0447596	+	1.18559i
$889$	5.34546	+	3.57172i	0.179281	+	0.119792i
$890$	24.4085	+	35.5536i	0.818175	+	1.19176i
$891$	25.7015	−	17.1732i	0.861033	−	0.575324i
$892$	−7.62101	−	17.1643i	−0.255170	−	0.574704i
$893$	1.28017	+	3.09061i	0.0428394	+	0.103423i
$894$	−34.3745	−	6.38912i	−1.14965	−	0.213684i
$895$	5.10817	−	25.6805i	0.170747	−	0.858405i
$896$	−13.3072	+	3.88999i	−0.444563	+	0.129955i
$897$	6.75840	−	6.75840i	0.225657	−	0.225657i
$898$	−29.7495	−	19.3412i	−0.992752	−	0.645423i
$899$	−0.467965	+	1.12977i	−0.0156075	+	0.0376799i
$900$	0.504142	−	0.0126852i	0.0168047	−	0.000422840i
$901$	−40.8739	−	29.8511i	−1.36171	−	0.994485i
$902$	19.6753	+	19.1865i	0.655117	+	0.638840i
$903$	6.73518	−	16.2602i	0.224133	−	0.541104i
$904$	−20.9113	−	12.8587i	−0.695501	−	0.427673i
$905$	20.9378	+	20.9378i	0.695998	+	0.695998i
$906$	38.1427	−	8.08708i	1.26721	−	0.268675i
$907$	11.0558	−	55.5813i	0.367102	−	1.84555i	−0.148757	−	0.988874i	$-0.547527\pi$
$907$	11.0558	−	55.5813i	0.367102	−	1.84555i	0.515859	−	0.856674i	$-0.327473\pi$
$908$	−13.1181	−	18.6020i	−0.435339	−	0.617330i
$909$	−3.65528	+	1.51407i	−0.121238	+	0.0502184i
$910$	0.841762	−	2.10676i	0.0279041	−	0.0698384i
$911$	15.9889	−	10.6834i	0.529736	−	0.353958i	−0.261760	−	0.965133i	$-0.584303\pi$
$911$	15.9889	−	10.6834i	0.529736	−	0.353958i	0.791496	+	0.611175i	$0.209303\pi$
$912$	−2.66947	−	0.392634i	−0.0883949	−	0.0130014i
$913$	−12.3687	+	18.5111i	−0.409344	+	0.612627i
$914$	−29.5708	+	0.371971i	−0.978116	+	0.0123037i
$915$	−38.2755	+	7.61347i	−1.26535	+	0.251694i
$916$	−6.25400	+	16.2425i	−0.206638	+	0.536668i
$917$	0.958934			0.0316668
$918$	19.9771	+	21.1776i	0.659343	+	0.698964i
$919$		−	17.5261i		−	0.578132i	−0.957309	−	0.289066i	$-0.906655\pi$
$919$		−	17.5261i		−	0.578132i	0.957309	−	0.289066i	$-0.0933446\pi$
$920$	−40.0954	+	18.4097i	−1.32191	+	0.606948i
$921$	11.3279	+	56.9494i	0.373268	+	1.87655i
$922$	13.4962	−	0.169769i	0.444474	−	0.00559104i
$923$	5.41386	+	3.61742i	0.178199	+	0.119069i
$924$	−2.41063	+	13.9435i	−0.0793038	+	0.458708i
$925$	−4.52596	−	6.77357i	−0.148812	−	0.222714i
$926$	31.4777	+	12.5770i	1.03442	+	0.413306i
$927$	0.332885	+	0.803656i	0.0109334	+	0.0263955i
$928$	−1.77988	−	0.238959i	−0.0584274	−	0.00784422i
$929$	32.2243	+	6.40981i	1.05724	+	0.210299i	0.692951	−	0.720985i	$-0.256310\pi$
$929$	32.2243	+	6.40981i	1.05724	+	0.210299i	0.364294	+	0.931284i	$0.381310\pi$
$930$	18.7051	−	3.96589i	0.613364	−	0.130047i
$931$	−1.46247	+	1.46247i	−0.0479305	+	0.0479305i
$932$	10.7778	+	47.8586i	0.353039	+	1.56766i
$933$	32.9213	+	13.6364i	1.07779	+	0.446437i
$934$	22.9572	−	23.5421i	0.751181	−	0.770320i
$935$	13.5219	+	22.1885i	0.442212	+	0.725641i
$936$	−0.299275	−	0.277500i	−0.00978212	−	0.00907038i
$937$	−42.4487	−	17.5828i	−1.38674	−	0.574406i	−0.440465	−	0.897770i	$-0.645186\pi$
$937$	−42.4487	−	17.5828i	−1.38674	−	0.574406i	−0.946275	+	0.323364i	$0.895186\pi$
$938$	−2.29465	−	1.49184i	−0.0749231	−	0.0487102i
$939$	23.2972	+	23.2972i	0.760274	+	0.760274i
$940$	18.6077	−	29.4246i	0.606915	−	0.959724i
$941$	−49.0680	−	9.76022i	−1.59957	−	0.318174i	−0.686862	−	0.726788i	$-0.741012\pi$
$941$	−49.0680	−	9.76022i	−1.59957	−	0.318174i	−0.912707	+	0.408614i	$0.866012\pi$
$942$	−1.87388	+	10.0818i	−0.0610544	+	0.328482i
$943$	−44.4375	+	18.4066i	−1.44708	+	0.599402i
$944$	−9.86777	+	4.68192i	−0.321169	+	0.152384i
$945$	6.65347	+	9.95762i	0.216437	+	0.323921i
$946$	20.6400	+	30.0643i	0.671064	+	0.977475i
$947$	−13.5723	+	20.3124i	−0.441042	+	0.660066i	−0.983685	−	0.179897i	$-0.942423\pi$
$947$	−13.5723	+	20.3124i	−0.441042	+	0.660066i	0.542644	+	0.839963i	$0.317423\pi$
$948$	33.8606	−	35.6085i	1.09974	−	1.15651i
$949$	−0.541242	−	2.72101i	−0.0175695	−	0.0883277i
$950$	0.571353	−	0.245127i	0.0185371	−	0.00795295i
$951$	−1.14965			−0.0372799
$952$	−14.2907	−	0.0572273i	−0.463164	−	0.00185475i
$953$	32.4250			1.05035			0.525175	−	0.850994i	$-0.324000\pi$
$953$	32.4250			1.05035			0.525175	+	0.850994i	$0.324000\pi$
$954$	−3.44212	+	1.47677i	−0.111443	+	0.0478121i
$955$	6.65847	+	33.4744i	0.215463	+	1.08321i
$956$	10.8519	+	10.3192i	0.350975	+	0.333746i
$957$	−1.01832	+	1.52402i	−0.0329176	+	0.0492646i
$958$	−9.97749	−	14.5333i	−0.322358	−	0.469548i
$959$	−12.2568	−	18.3436i	−0.395793	−	0.592346i
$960$	12.6714	+	25.0589i	0.408967	+	0.808771i
$961$	14.9323	−	6.18515i	0.481686	−	0.199521i
$962$	−1.20479	+	6.48197i	−0.0388441	+	0.208987i
$963$	3.09403	+	0.615441i	0.0997037	+	0.0198323i
$964$	−16.1259	−	10.1977i	−0.519379	−	0.328447i
$965$	2.61947	+	2.61947i	0.0843238	+	0.0843238i
$966$	−20.7638	−	13.4993i	−0.668064	−	0.434332i
$967$	0.404652	+	0.167612i	0.0130127	+	0.00539005i	0.389180	−	0.921162i	$-0.372758\pi$
$967$	0.404652	+	0.167612i	0.0130127	+	0.00539005i	−0.376168	+	0.926552i	$0.622758\pi$
$968$	1.31457	+	1.21893i	0.0422520	+	0.0391778i
$969$	−2.52287	−	1.17062i	−0.0810463	−	0.0376058i
$970$	−8.32431	+	8.53640i	−0.267277	+	0.274087i
$971$	41.3326	+	17.1205i	1.32643	+	0.549424i	0.929634	−	0.368485i	$-0.120123\pi$
$971$	41.3326	+	17.1205i	1.32643	+	0.549424i	0.396792	+	0.917908i	$0.370123\pi$
$972$	4.36646	−	0.983333i	0.140054	−	0.0315404i
$973$	−3.68109	+	3.68109i	−0.118010	+	0.118010i
$974$	27.0394	−	5.73295i	0.866399	−	0.183696i
$975$	1.37475	+	0.273455i	0.0440272	+	0.00875756i
$976$	26.5361	+	35.6883i	0.849400	+	1.14235i
$977$	5.83729	+	14.0925i	0.186751	+	0.450858i	0.989331	−	0.145688i	$-0.0465395\pi$
$977$	5.83729	+	14.0925i	0.186751	+	0.450858i	−0.802579	+	0.596546i	$0.796539\pi$
$978$	−39.4622	−	15.7672i	−1.26186	−	0.504180i
$979$	−27.8675	−	41.7066i	−0.890648	−	1.33295i
$980$	21.2099	+	3.66687i	0.677524	+	0.117134i
$981$	−0.718856	−	0.480324i	−0.0229513	−	0.0153356i
$982$	12.6204	−	0.158752i	0.402733	−	0.00506597i
$983$	−3.51072	−	17.6496i	−0.111975	−	0.562935i	−0.995517	−	0.0945832i	$-0.969848\pi$
$983$	−3.51072	−	17.6496i	−0.111975	−	0.562935i	0.883542	−	0.468351i	$-0.155152\pi$
$984$	12.7737	+	27.8205i	0.407211	+	0.886886i
$985$			45.0156i			1.43432i
$986$	−1.68883	−	0.757955i	−0.0537832	−	0.0241382i
$987$	19.5428			0.622054
$988$	−0.469553	−	0.180796i	−0.0149385	−	0.00575188i
$989$	−62.5994	+	12.4518i	−1.99055	+	0.395944i
$990$	1.92272	−	0.0241859i	0.0611081	−	0.000768678i
$991$	−15.2654	+	22.8463i	−0.484922	+	0.725737i	−0.990571	−	0.137002i	$-0.956253\pi$
$991$	−15.2654	+	22.8463i	−0.484922	+	0.725737i	0.505649	+	0.862739i	$0.331253\pi$
$992$	−13.2206	−	17.3209i	−0.419753	−	0.549940i
$993$	−8.01173	+	5.35327i	−0.254245	+	0.169881i
$994$	6.25998	−	15.6675i	0.198554	−	0.496942i
$995$	29.7534	−	12.3243i	0.943247	−	0.390706i
$996$	−20.2671	+	14.2923i	−0.642188	+	0.452869i
$997$	0.113700	−	0.571609i	0.00360092	−	0.0181030i	−0.978943	−	0.204134i	$-0.934562\pi$
$997$	0.113700	−	0.571609i	0.00360092	−	0.0181030i	0.982544	+	0.186030i	$0.0595623\pi$
$998$	17.6550	−	3.74324i	0.558858	−	0.118490i
$999$	−24.6093	−	24.6093i	−0.778604	−	0.778604i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	136.2.s.c.11.11	✓	112
4.3	odd	2		544.2.cc.c.79.4		112
8.3	odd	2	inner	136.2.s.c.11.14	yes	112
8.5	even	2		544.2.cc.c.79.3		112
17.14	odd	16	inner	136.2.s.c.99.14	yes	112
68.31	even	16		544.2.cc.c.303.3		112
136.99	even	16	inner	136.2.s.c.99.11	yes	112
136.133	odd	16		544.2.cc.c.303.4		112

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
136.2.s.c.11.11	✓	112	1.1	even	1	trivial
136.2.s.c.11.14	yes	112	8.3	odd	2	inner
136.2.s.c.99.11	yes	112	136.99	even	16	inner
136.2.s.c.99.14	yes	112	17.14	odd	16	inner
544.2.cc.c.79.3		112	8.5	even	2
544.2.cc.c.79.4		112	4.3	odd	2
544.2.cc.c.303.3		112	68.31	even	16
544.2.cc.c.303.4		112	136.133	odd	16

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)

\(f(q)\)	\(=\)	\(q+(0.557587 + 1.29965i) q^{2} +(0.349846 + 1.75879i) q^{3} +(-1.37819 + 1.44934i) q^{4} +(1.08746 - 1.62749i) q^{5} +(-2.09075 + 1.43536i) q^{6} +(0.680811 + 1.01891i) q^{7} +(-2.65210 - 0.983039i) q^{8} +(-0.199328 + 0.0825646i) q^{9} +O(q^{10})\)	\(q+(0.557587 + 1.29965i) q^{2} +(0.349846 + 1.75879i) q^{3} +(-1.37819 + 1.44934i) q^{4} +(1.08746 - 1.62749i) q^{5} +(-2.09075 + 1.43536i) q^{6} +(0.680811 + 1.01891i) q^{7} +(-2.65210 - 0.983039i) q^{8} +(-0.199328 + 0.0825646i) q^{9} +(2.72153 + 0.505845i) q^{10} +(-3.15779 - 0.628123i) q^{11} +(-3.03125 - 1.91691i) q^{12} +(-0.472919 - 0.472919i) q^{13} +(-0.944611 + 1.45295i) q^{14} +(3.24287 + 1.34324i) q^{15} +(-0.201168 - 3.99494i) q^{16} +(0.972418 - 4.00679i) q^{17} +(-0.218448 - 0.213021i) q^{18} +(-0.347525 - 0.143950i) q^{19} +(0.860065 + 3.81909i) q^{20} +(-1.55387 + 1.55387i) q^{21} +(-0.944401 - 4.45426i) q^{22} +(7.81609 + 1.55472i) q^{23} +(0.801137 - 5.00841i) q^{24} +(0.447245 + 1.07975i) q^{25} +(0.350937 - 0.878325i) q^{26} +(2.77388 + 4.15141i) q^{27} +(-2.41503 - 0.417522i) q^{28} +(-0.263962 - 0.176373i) q^{29} +(0.0624367 + 4.96357i) q^{30} +(-0.751476 - 3.77793i) q^{31} +(5.07986 - 2.48898i) q^{32} -5.77365i q^{33} +(5.74965 - 0.970332i) q^{34} +2.39861 q^{35} +(0.155049 - 0.402684i) q^{36} +(-6.83658 + 1.35988i) q^{37} +(-0.00669110 - 0.531927i) q^{38} +(0.666319 - 0.997217i) q^{39} +(-4.48393 + 3.24726i) q^{40} +(-5.01839 + 3.35318i) q^{41} +(-2.88590 - 1.15307i) q^{42} +(-7.39939 + 3.06493i) q^{43} +(5.26241 - 3.71103i) q^{44} +(-0.0823877 + 0.414191i) q^{45} +(2.33756 + 11.0251i) q^{46} +(-6.28844 - 6.28844i) q^{47} +(6.95590 - 1.75143i) q^{48} +(2.10412 - 5.07979i) q^{49} +(-1.15392 + 1.18332i) q^{50} +(7.38733 + 0.308522i) q^{51} +(1.33719 - 0.0336464i) q^{52} +(4.69770 - 11.3412i) q^{53} +(-3.84871 + 5.91986i) q^{54} +(-4.45622 + 4.45622i) q^{55} +(-0.803955 - 3.37150i) q^{56} +(0.131598 - 0.661586i) q^{57} +(0.0820426 - 0.441402i) q^{58} +(-1.04493 - 2.52269i) q^{59} +(-6.41611 + 2.84877i) q^{60} +(-9.24442 + 6.17692i) q^{61} +(4.49098 - 3.08318i) q^{62} +(-0.219830 - 0.146886i) q^{63} +(6.06727 + 5.21423i) q^{64} +(-1.28395 + 0.255394i) q^{65} +(7.50374 - 3.21931i) q^{66} +1.57931i q^{67} +(4.46703 + 6.93150i) q^{68} +14.2908i q^{69} +(1.33744 + 3.11736i) q^{70} +(-9.54844 + 1.89930i) q^{71} +(0.609803 - 0.0230218i) q^{72} +(3.44906 + 2.30459i) q^{73} +(-5.57936 - 8.12693i) q^{74} +(-1.74258 + 1.16436i) q^{75} +(0.687589 - 0.305292i) q^{76} +(-1.50986 - 3.64512i) q^{77} +(1.66757 + 0.309948i) q^{78} +(-2.67288 + 13.4375i) q^{79} +(-6.72049 - 4.01692i) q^{80} +(-6.78872 + 6.78872i) q^{81} +(-7.15616 - 4.65247i) q^{82} +(2.64615 - 6.38838i) q^{83} +(-0.110552 - 4.39361i) q^{84} +(-5.46357 - 5.93981i) q^{85} +(-8.10915 - 7.90767i) q^{86} +(0.217859 - 0.525958i) q^{87} +(7.75730 + 4.77008i) q^{88} +(11.0163 + 11.0163i) q^{89} +(-0.584242 + 0.123872i) q^{90} +(0.159891 - 0.803829i) q^{91} +(-13.0254 + 9.18547i) q^{92} +(6.38169 - 2.64338i) q^{93} +(4.66643 - 11.6791i) q^{94} +(-0.612196 + 0.409056i) q^{95} +(6.15477 + 8.06368i) q^{96} +(-2.39302 + 3.58141i) q^{97} +(7.77520 - 0.0978041i) q^{98} +(0.681298 - 0.135519i) 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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