LMFDB - Embedded newform 966.2.q.i.85.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [966,2,Mod(85,966)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(966, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([0, 0, 8]))

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

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

chi := DirichletCharacter("966.85");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 966 = 2 \cdot 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	966.q (of order $11$, 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:	$7.71354883526$
Analytic rank:	$0$
Dimension:	$40$
Relative dimension:	$4$ over $\Q(\zeta_{11})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			85.1
Character	$\chi$	$=$	966.85
Dual form			966.2.q.i.841.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.654861 + 0.755750i) q^{2} +(0.841254 - 0.540641i) q^{3} +(-0.142315 - 0.989821i) q^{4} +(-1.70670 - 3.73716i) q^{5} +(-0.142315 + 0.989821i) q^{6} +(-0.959493 + 0.281733i) q^{7} +(0.841254 + 0.540641i) q^{8} +(0.415415 - 0.909632i) q^{9} +O(q^{10})$	\(q+(-0.654861 + 0.755750i) q^{2} +(0.841254 - 0.540641i) q^{3} +(-0.142315 - 0.989821i) q^{4} +(-1.70670 - 3.73716i) q^{5} +(-0.142315 + 0.989821i) q^{6} +(-0.959493 + 0.281733i) q^{7} +(0.841254 + 0.540641i) q^{8} +(0.415415 - 0.909632i) q^{9} +(3.94201 + 1.15748i) q^{10} +(-0.271216 - 0.313000i) q^{11} +(-0.654861 - 0.755750i) q^{12} +(-5.88314 - 1.72744i) q^{13} +(0.415415 - 0.909632i) q^{14} +(-3.45623 - 2.22119i) q^{15} +(-0.959493 + 0.281733i) q^{16} +(-0.143293 + 0.996625i) q^{17} +(0.415415 + 0.909632i) q^{18} +(0.459340 + 3.19478i) q^{19} +(-3.45623 + 2.22119i) q^{20} +(-0.654861 + 0.755750i) q^{21} +0.414159 q^{22} +(4.79123 - 0.209936i) q^{23} +1.00000 q^{24} +(-7.77924 + 8.97772i) q^{25} +(5.15815 - 3.31494i) q^{26} +(-0.142315 - 0.989821i) q^{27} +(0.415415 + 0.909632i) q^{28} +(0.184508 - 1.28328i) q^{29} +(3.94201 - 1.15748i) q^{30} +(-1.55780 - 1.00113i) q^{31} +(0.415415 - 0.909632i) q^{32} +(-0.397382 - 0.116682i) q^{33} +(-0.659362 - 0.760944i) q^{34} +(2.69045 + 3.10495i) q^{35} +(-0.959493 - 0.281733i) q^{36} +(-1.80249 + 3.94689i) q^{37} +(-2.71526 - 1.74499i) q^{38} +(-5.88314 + 1.72744i) q^{39} +(0.584691 - 4.06662i) q^{40} +(3.70003 + 8.10194i) q^{41} +(-0.142315 - 0.989821i) q^{42} +(-1.65997 + 1.06680i) q^{43} +(-0.271216 + 0.313000i) q^{44} -4.10843 q^{45} +(-2.97893 + 3.75845i) q^{46} -0.672953 q^{47} +(-0.654861 + 0.755750i) q^{48} +(0.841254 - 0.540641i) q^{49} +(-1.69059 - 11.7583i) q^{50} +(0.418270 + 0.915884i) q^{51} +(-0.872604 + 6.06909i) q^{52} +(-9.52135 + 2.79572i) q^{53} +(0.841254 + 0.540641i) q^{54} +(-0.706847 + 1.54778i) q^{55} +(-0.959493 - 0.281733i) q^{56} +(2.11365 + 2.43928i) q^{57} +(0.849014 + 0.979814i) q^{58} +(-8.82921 - 2.59249i) q^{59} +(-1.70670 + 3.73716i) q^{60} +(-9.40527 - 6.04440i) q^{61} +(1.77675 - 0.521700i) q^{62} +(-0.142315 + 0.989821i) q^{63} +(0.415415 + 0.909632i) q^{64} +(3.58504 + 24.9345i) q^{65} +(0.348412 - 0.223911i) q^{66} +(-2.15725 + 2.48960i) q^{67} +1.00687 q^{68} +(3.91714 - 2.76695i) q^{69} -4.10843 q^{70} +(6.42739 - 7.41761i) q^{71} +(0.841254 - 0.540641i) q^{72} +(1.03723 + 7.21406i) q^{73} +(-1.80249 - 3.94689i) q^{74} +(-1.69059 + 11.7583i) q^{75} +(3.09689 - 0.909329i) q^{76} +(0.348412 + 0.223911i) q^{77} +(2.54712 - 5.57741i) q^{78} +(-6.90644 - 2.02791i) q^{79} +(2.69045 + 3.10495i) q^{80} +(-0.654861 - 0.755750i) q^{81} +(-8.54604 - 2.50935i) q^{82} +(4.03828 - 8.84260i) q^{83} +(0.841254 + 0.540641i) q^{84} +(3.96911 - 1.16544i) q^{85} +(0.280817 - 1.95313i) q^{86} +(-0.538577 - 1.17932i) q^{87} +(-0.0589409 - 0.409943i) q^{88} +(12.0021 - 7.71326i) q^{89} +(2.69045 - 3.10495i) q^{90} +6.13150 q^{91} +(-0.889663 - 4.71259i) q^{92} -1.85176 q^{93} +(0.440691 - 0.508584i) q^{94} +(11.1554 - 7.16917i) q^{95} +(-0.142315 - 0.989821i) q^{96} +(-7.63668 - 16.7220i) q^{97} +(-0.142315 + 0.989821i) q^{98} +(-0.397382 + 0.116682i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 40 q - 4 q^{2} - 4 q^{3} - 4 q^{4} + 4 q^{5} - 4 q^{6} - 4 q^{7} - 4 q^{8} - 4 q^{9}+O(q^{10}) $ 40 * q - 4 * q^2 - 4 * q^3 - 4 * q^4 + 4 * q^5 - 4 * q^6 - 4 * q^7 - 4 * q^8 - 4 * q^9	\( 40 q - 4 q^{2} - 4 q^{3} - 4 q^{4} + 4 q^{5} - 4 q^{6} - 4 q^{7} - 4 q^{8} - 4 q^{9} + 4 q^{10} - q^{11} - 4 q^{12} - 8 q^{13} - 4 q^{14} - 7 q^{15} - 4 q^{16} - 7 q^{17} - 4 q^{18} + 20 q^{19} - 7 q^{20} - 4 q^{21} + 10 q^{22} + 2 q^{23} + 40 q^{24} - 22 q^{25} + 14 q^{26} - 4 q^{27} - 4 q^{28} + 15 q^{29} + 4 q^{30} - 16 q^{31} - 4 q^{32} - q^{33} - 7 q^{34} - 7 q^{35} - 4 q^{36} - 16 q^{37} - 13 q^{38} - 8 q^{39} + 4 q^{40} - 17 q^{41} - 4 q^{42} + 26 q^{43} - q^{44} + 4 q^{45} - 20 q^{46} + 72 q^{47} - 4 q^{48} - 4 q^{49} + 11 q^{50} - 7 q^{51} - 19 q^{52} + 6 q^{53} - 4 q^{54} + 49 q^{55} - 4 q^{56} + 9 q^{57} - 7 q^{58} - 51 q^{59} + 4 q^{60} - 42 q^{61} - 16 q^{62} - 4 q^{63} - 4 q^{64} + 8 q^{65} - 12 q^{66} + 54 q^{67} + 4 q^{68} + 2 q^{69} + 4 q^{70} - 59 q^{71} - 4 q^{72} - 27 q^{73} - 16 q^{74} + 11 q^{75} - 2 q^{76} - 12 q^{77} - 8 q^{78} - 6 q^{79} - 7 q^{80} - 4 q^{81} - 6 q^{82} - 24 q^{83} - 4 q^{84} + 35 q^{85} - 7 q^{86} - 29 q^{87} - q^{88} + 22 q^{89} - 7 q^{90} + 36 q^{91} - 9 q^{92} + 50 q^{93} - 16 q^{94} + 22 q^{95} - 4 q^{96} + 16 q^{97} - 4 q^{98} - q^{99}+O(q^{100}) \) 40 * q - 4 * q^2 - 4 * q^3 - 4 * q^4 + 4 * q^5 - 4 * q^6 - 4 * q^7 - 4 * q^8 - 4 * q^9 + 4 * q^10 - q^11 - 4 * q^12 - 8 * q^13 - 4 * q^14 - 7 * q^15 - 4 * q^16 - 7 * q^17 - 4 * q^18 + 20 * q^19 - 7 * q^20 - 4 * q^21 + 10 * q^22 + 2 * q^23 + 40 * q^24 - 22 * q^25 + 14 * q^26 - 4 * q^27 - 4 * q^28 + 15 * q^29 + 4 * q^30 - 16 * q^31 - 4 * q^32 - q^33 - 7 * q^34 - 7 * q^35 - 4 * q^36 - 16 * q^37 - 13 * q^38 - 8 * q^39 + 4 * q^40 - 17 * q^41 - 4 * q^42 + 26 * q^43 - q^44 + 4 * q^45 - 20 * q^46 + 72 * q^47 - 4 * q^48 - 4 * q^49 + 11 * q^50 - 7 * q^51 - 19 * q^52 + 6 * q^53 - 4 * q^54 + 49 * q^55 - 4 * q^56 + 9 * q^57 - 7 * q^58 - 51 * q^59 + 4 * q^60 - 42 * q^61 - 16 * q^62 - 4 * q^63 - 4 * q^64 + 8 * q^65 - 12 * q^66 + 54 * q^67 + 4 * q^68 + 2 * q^69 + 4 * q^70 - 59 * q^71 - 4 * q^72 - 27 * q^73 - 16 * q^74 + 11 * q^75 - 2 * q^76 - 12 * q^77 - 8 * q^78 - 6 * q^79 - 7 * q^80 - 4 * q^81 - 6 * q^82 - 24 * q^83 - 4 * q^84 + 35 * q^85 - 7 * q^86 - 29 * q^87 - q^88 + 22 * q^89 - 7 * q^90 + 36 * q^91 - 9 * q^92 + 50 * q^93 - 16 * q^94 + 22 * q^95 - 4 * q^96 + 16 * q^97 - 4 * q^98 - q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/966\mathbb{Z}\right)^\times$.

$n$	$323$	$829$	$925$
$\chi(n)$	$1$	$1$	$e\left(\frac{4}{11}\right)$

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 $

$2$	−0.654861	+	0.755750i	−0.463056	+	0.534396i
$2$	−0.654861	+	0.755750i	−0.463056	+	0.534396i
$3$	0.841254	−	0.540641i	0.485698	−	0.312139i
$3$	0.841254	−	0.540641i	0.485698	−	0.312139i
$4$	−0.142315	−	0.989821i	−0.0711574	−	0.494911i
$5$	−1.70670	−	3.73716i	−0.763262	−	1.67131i	−0.740951	−	0.671559i	$-0.765625\pi$
$5$	−1.70670	−	3.73716i	−0.763262	−	1.67131i	−0.0223101	−	0.999751i	$-0.507102\pi$
$6$	−0.142315	+	0.989821i	−0.0580998	+	0.404093i
$7$	−0.959493	+	0.281733i	−0.362654	+	0.106485i
$7$	−0.959493	+	0.281733i	−0.362654	+	0.106485i
$8$	0.841254	+	0.540641i	0.297428	+	0.191145i
$9$	0.415415	−	0.909632i	0.138472	−	0.303211i
$10$	3.94201	+	1.15748i	1.24657	+	0.366027i
$11$	−0.271216	−	0.313000i	−0.0817748	−	0.0943731i	0.713388	−	0.700770i	$-0.247160\pi$
$11$	−0.271216	−	0.313000i	−0.0817748	−	0.0943731i	−0.795162	+	0.606396i	$0.792614\pi$
$12$	−0.654861	−	0.755750i	−0.189042	−	0.218166i
$13$	−5.88314	−	1.72744i	−1.63169	−	0.479107i	−0.667563	−	0.744554i	$-0.732662\pi$
$13$	−5.88314	−	1.72744i	−1.63169	−	0.479107i	−0.964126	+	0.265447i	$0.914481\pi$
$14$	0.415415	−	0.909632i	0.111024	−	0.243109i
$15$	−3.45623	−	2.22119i	−0.892396	−	0.573508i
$16$	−0.959493	+	0.281733i	−0.239873	+	0.0704331i
$17$	−0.143293	+	0.996625i	−0.0347537	+	0.241717i	−0.999792	−	0.0203915i	$-0.993509\pi$
$17$	−0.143293	+	0.996625i	−0.0347537	+	0.241717i	0.965038	+	0.262109i	$0.0844178\pi$
$18$	0.415415	+	0.909632i	0.0979143	+	0.214402i
$19$	0.459340	+	3.19478i	0.105380	+	0.732932i	0.972173	+	0.234264i	$0.0752682\pi$
$19$	0.459340	+	3.19478i	0.105380	+	0.732932i	−0.866793	+	0.498668i	$0.833823\pi$
$20$	−3.45623	+	2.22119i	−0.772837	+	0.496672i
$21$	−0.654861	+	0.755750i	−0.142902	+	0.164918i
$22$	0.414159			0.0882989
$23$	4.79123	−	0.209936i	0.999041	−	0.0437747i
$23$	4.79123	−	0.209936i	0.999041	−	0.0437747i
$24$	1.00000			0.204124
$25$	−7.77924	+	8.97772i	−1.55585	+	1.79554i
$26$	5.15815	−	3.31494i	1.01160	−	0.650114i
$27$	−0.142315	−	0.989821i	−0.0273885	−	0.190491i
$28$	0.415415	+	0.909632i	0.0785061	+	0.171904i
$29$	0.184508	−	1.28328i	0.0342623	−	0.238300i	−0.965493	−	0.260430i	$-0.916136\pi$
$29$	0.184508	−	1.28328i	0.0342623	−	0.238300i	0.999755	+	0.0221301i	$0.00704481\pi$
$30$	3.94201	−	1.15748i	0.719710	−	0.211326i
$31$	−1.55780	−	1.00113i	−0.279788	−	0.179809i	0.393219	−	0.919445i	$-0.371361\pi$
$31$	−1.55780	−	1.00113i	−0.279788	−	0.179809i	−0.673007	+	0.739636i	$0.734998\pi$
$32$	0.415415	−	0.909632i	0.0734357	−	0.160802i
$33$	−0.397382	−	0.116682i	−0.0691754	−	0.0203117i
$34$	−0.659362	−	0.760944i	−0.113080	−	0.130501i
$35$	2.69045	+	3.10495i	0.454769	+	0.524832i
$36$	−0.959493	−	0.281733i	−0.159915	−	0.0469554i
$37$	−1.80249	+	3.94689i	−0.296327	+	0.648865i	−0.997972	−	0.0636617i	$-0.979722\pi$
$37$	−1.80249	+	3.94689i	−0.296327	+	0.648865i	0.701645	+	0.712527i	$0.252449\pi$
$38$	−2.71526	−	1.74499i	−0.440473	−	0.283075i
$39$	−5.88314	+	1.72744i	−0.942056	+	0.276613i
$40$	0.584691	−	4.06662i	0.0924478	−	0.642988i
$41$	3.70003	+	8.10194i	0.577848	+	1.26531i	0.942512	+	0.334172i	$0.108456\pi$
$41$	3.70003	+	8.10194i	0.577848	+	1.26531i	−0.364664	+	0.931139i	$0.618816\pi$
$42$	−0.142315	−	0.989821i	−0.0219597	−	0.152733i
$43$	−1.65997	+	1.06680i	−0.253143	+	0.162685i	−0.661058	−	0.750335i	$-0.729892\pi$
$43$	−1.65997	+	1.06680i	−0.253143	+	0.162685i	0.407915	+	0.913020i	$0.366256\pi$
$44$	−0.271216	+	0.313000i	−0.0408874	+	0.0471866i
$45$	−4.10843			−0.612449
$46$	−2.97893	+	3.75845i	−0.439220	+	0.554154i
$47$	−0.672953			−0.0981603			−0.0490802	−	0.998795i	$-0.515629\pi$
$47$	−0.672953			−0.0981603			−0.0490802	+	0.998795i	$0.515629\pi$
$48$	−0.654861	+	0.755750i	−0.0945210	+	0.109083i
$49$	0.841254	−	0.540641i	0.120179	−	0.0772344i
$50$	−1.69059	−	11.7583i	−0.239085	−	1.66288i
$51$	0.418270	+	0.915884i	0.0585696	+	0.128249i
$52$	−0.872604	+	6.06909i	−0.121008	+	0.841632i
$53$	−9.52135	+	2.79572i	−1.30786	+	0.384022i	−0.860097	−	0.510131i	$-0.829597\pi$
$53$	−9.52135	+	2.79572i	−1.30786	+	0.384022i	−0.447762	+	0.894153i	$0.647779\pi$
$54$	0.841254	+	0.540641i	0.114480	+	0.0735719i
$55$	−0.706847	+	1.54778i	−0.0953112	+	0.208702i
$56$	−0.959493	−	0.281733i	−0.128218	−	0.0376481i
$57$	2.11365	+	2.43928i	0.279960	+	0.323091i
$58$	0.849014	+	0.979814i	0.111481	+	0.128656i
$59$	−8.82921	−	2.59249i	−1.14946	−	0.337513i	−0.349134	−	0.937073i	$-0.613524\pi$
$59$	−8.82921	−	2.59249i	−1.14946	−	0.337513i	−0.800330	+	0.599559i	$0.795343\pi$
$60$	−1.70670	+	3.73716i	−0.220335	+	0.482466i
$61$	−9.40527	−	6.04440i	−1.20422	−	0.773906i	−0.224540	−	0.974465i	$-0.572088\pi$
$61$	−9.40527	−	6.04440i	−1.20422	−	0.773906i	−0.979682	+	0.200559i	$0.935724\pi$
$62$	1.77675	−	0.521700i	0.225647	−	0.0662559i
$63$	−0.142315	+	0.989821i	−0.0179300	+	0.124706i
$64$	0.415415	+	0.909632i	0.0519269	+	0.113704i
$65$	3.58504	+	24.9345i	0.444669	+	3.09274i
$66$	0.348412	−	0.223911i	0.0428866	−	0.0275616i
$67$	−2.15725	+	2.48960i	−0.263550	+	0.304153i	−0.872066	−	0.489389i	$-0.837220\pi$
$67$	−2.15725	+	2.48960i	−0.263550	+	0.304153i	0.608516	+	0.793542i	$0.291765\pi$
$68$	1.00687			0.122101
$69$	3.91714	−	2.76695i	0.471569	−	0.333101i
$70$	−4.10843			−0.491052
$71$	6.42739	−	7.41761i	0.762791	−	0.880308i	−0.232951	−	0.972488i	$-0.574838\pi$
$71$	6.42739	−	7.41761i	0.762791	−	0.880308i	0.995742	+	0.0921805i	$0.0293837\pi$
$72$	0.841254	−	0.540641i	0.0991427	−	0.0637151i
$73$	1.03723	+	7.21406i	0.121398	+	0.844342i	0.955974	+	0.293450i	$0.0948034\pi$
$73$	1.03723	+	7.21406i	0.121398	+	0.844342i	−0.834576	+	0.550892i	$0.814288\pi$
$74$	−1.80249	−	3.94689i	−0.209535	−	0.458817i
$75$	−1.69059	+	11.7583i	−0.195212	+	1.35773i
$76$	3.09689	−	0.909329i	0.355238	−	0.104307i
$77$	0.348412	+	0.223911i	0.0397053	+	0.0255170i
$78$	2.54712	−	5.57741i	0.288404	−	0.631518i
$79$	−6.90644	−	2.02791i	−0.777035	−	0.228158i	−0.130915	−	0.991394i	$-0.541791\pi$
$79$	−6.90644	−	2.02791i	−0.777035	−	0.228158i	−0.646120	+	0.763236i	$0.723610\pi$
$80$	2.69045	+	3.10495i	0.300802	+	0.347144i
$81$	−0.654861	−	0.755750i	−0.0727623	−	0.0839722i
$82$	−8.54604	−	2.50935i	−0.943753	−	0.277111i
$83$	4.03828	−	8.84260i	0.443259	−	0.970601i	−0.547730	−	0.836655i	$-0.684508\pi$
$83$	4.03828	−	8.84260i	0.443259	−	0.970601i	0.990989	−	0.133946i	$-0.0427649\pi$
$84$	0.841254	+	0.540641i	0.0917883	+	0.0589887i
$85$	3.96911	−	1.16544i	0.430510	−	0.126409i
$86$	0.280817	−	1.95313i	0.0302813	−	0.210611i
$87$	−0.538577	−	1.17932i	−0.0577415	−	0.126436i
$88$	−0.0589409	−	0.409943i	−0.00628312	−	0.0437001i
$89$	12.0021	−	7.71326i	1.27222	−	0.817604i	0.282310	−	0.959323i	$-0.408899\pi$
$89$	12.0021	−	7.71326i	1.27222	−	0.817604i	0.989907	+	0.141719i	$0.0452629\pi$
$90$	2.69045	−	3.10495i	0.283598	−	0.327290i
$91$	6.13150			0.642756
$92$	−0.889663	−	4.71259i	−0.0927538	−	0.491321i
$93$	−1.85176			−0.192018
$94$	0.440691	−	0.508584i	0.0454538	−	0.0524565i
$95$	11.1554	−	7.16917i	1.14452	−	0.735541i
$96$	−0.142315	−	0.989821i	−0.0145249	−	0.101023i
$97$	−7.63668	−	16.7220i	−0.775388	−	1.69786i	−0.714415	−	0.699722i	$-0.753307\pi$
$97$	−7.63668	−	16.7220i	−0.775388	−	1.69786i	−0.0609727	−	0.998139i	$-0.519420\pi$
$98$	−0.142315	+	0.989821i	−0.0143760	+	0.0999871i
$99$	−0.397382	+	0.116682i	−0.0399384	+	0.0117270i
$100$	9.99344	+	6.42239i	0.999344	+	0.642239i
$101$	1.36083	−	2.97981i	0.135408	−	0.296502i	−0.829766	−	0.558112i	$-0.811526\pi$
$101$	1.36083	−	2.97981i	0.135408	−	0.296502i	0.965174	+	0.261610i	$0.0842533\pi$
$102$	−0.966088	−	0.283669i	−0.0956570	−	0.0280874i
$103$	−12.1212	−	13.9886i	−1.19434	−	1.37834i	−0.907333	−	0.420413i	$-0.861885\pi$
$103$	−12.1212	−	13.9886i	−1.19434	−	1.37834i	−0.287007	−	0.957929i	$-0.592660\pi$
$104$	−4.01528	−	4.63388i	−0.393731	−	0.454390i
$105$	3.94201	+	1.15748i	0.384701	+	0.112958i
$106$	4.12229	−	9.02656i	0.400393	−	0.876737i
$107$	4.03566	+	2.59356i	0.390142	+	0.250729i	0.720976	−	0.692960i	$-0.243694\pi$
$107$	4.03566	+	2.59356i	0.390142	+	0.250729i	−0.330834	+	0.943689i	$0.607330\pi$
$108$	−0.959493	+	0.281733i	−0.0923273	+	0.0271097i
$109$	−1.27138	+	8.84267i	−0.121777	+	0.846974i	0.833765	+	0.552119i	$0.186181\pi$
$109$	−1.27138	+	8.84267i	−0.121777	+	0.846974i	−0.955542	+	0.294855i	$0.904729\pi$
$110$	−0.706847	−	1.54778i	−0.0673952	−	0.147575i
$111$	0.617504	+	4.29484i	0.0586109	+	0.407648i
$112$	0.841254	−	0.540641i	0.0794910	−	0.0510858i
$113$	−1.86950	+	2.15751i	−0.175867	+	0.202962i	−0.836839	−	0.547449i	$-0.815599\pi$
$113$	−1.86950	+	2.15751i	−0.175867	+	0.202962i	0.660972	+	0.750411i	$0.270144\pi$
$114$	−3.22763			−0.302295
$115$	−8.96179	−	17.5473i	−0.835691	−	1.63630i
$116$	−1.29648			−0.120375
$117$	−4.01528	+	4.63388i	−0.371213	+	0.428403i
$118$	7.74117	−	4.97495i	0.712633	−	0.457981i
$119$	−0.143293	−	0.996625i	−0.0131357	−	0.0913605i
$120$	−1.70670	−	3.73716i	−0.155800	−	0.341155i
$121$	1.54105	−	10.7183i	0.140096	−	0.974387i
$122$	10.7272	−	3.14979i	0.971195	−	0.285168i
$123$	7.49291	+	4.81540i	0.675613	+	0.434190i
$124$	−0.769247	+	1.68442i	−0.0690804	+	0.151265i
$125$	27.1180	+	7.96256i	2.42551	+	0.712193i
$126$	−0.654861	−	0.755750i	−0.0583396	−	0.0673275i
$127$	9.61947	+	11.1015i	0.853590	+	0.985095i	0.999991	−	0.00413018i	$-0.00131468\pi$
$127$	9.61947	+	11.1015i	0.853590	+	0.985095i	−0.146402	+	0.989225i	$0.546769\pi$
$128$	−0.959493	−	0.281733i	−0.0848080	−	0.0249019i
$129$	−0.819702	+	1.79490i	−0.0721707	+	0.158032i
$130$	−21.1919	−	13.6192i	−1.85865	−	1.19448i
$131$	−4.76185	+	1.39821i	−0.416045	+	0.122162i	−0.483054	−	0.875591i	$-0.660473\pi$
$131$	−4.76185	+	1.39821i	−0.416045	+	0.122162i	0.0670091	+	0.997752i	$0.478654\pi$
$132$	−0.0589409	+	0.409943i	−0.00513015	+	0.0356810i
$133$	−1.34081	−	2.93596i	−0.116263	−	0.254580i
$134$	−0.468815	−	3.26068i	−0.0404995	−	0.281680i
$135$	−3.45623	+	2.22119i	−0.297465	+	0.191169i
$136$	−0.659362	+	0.760944i	−0.0565398	+	0.0652504i
$137$	−17.5964			−1.50336			−0.751679	−	0.659529i	$-0.770756\pi$
$137$	−17.5964			−1.50336			−0.751679	+	0.659529i	$0.770756\pi$
$138$	−0.474064	+	4.77234i	−0.0403550	+	0.406249i
$139$	−14.7283			−1.24924			−0.624619	−	0.780930i	$-0.714746\pi$
$139$	−14.7283			−1.24924			−0.624619	+	0.780930i	$0.714746\pi$
$140$	2.69045	−	3.10495i	0.227385	−	0.262416i
$141$	−0.566124	+	0.363826i	−0.0476763	+	0.0306397i
$142$	1.39681	+	9.71500i	0.117217	+	0.815265i
$143$	1.05491	+	2.30993i	0.0882161	+	0.193166i
$144$	−0.142315	+	0.989821i	−0.0118596	+	0.0824851i
$145$	−5.11074	+	1.50065i	−0.424424	+	0.124622i
$146$	−6.13126	−	3.94032i	−0.507427	−	0.326104i
$147$	0.415415	−	0.909632i	0.0342629	−	0.0750252i
$148$	4.16324	+	1.22244i	0.342216	+	0.100484i
$149$	−6.93080	−	7.99857i	−0.567793	−	0.655268i	0.397142	−	0.917757i	$-0.370002\pi$
$149$	−6.93080	−	7.99857i	−0.567793	−	0.655268i	−0.964935	+	0.262489i	$0.915457\pi$
$150$	−7.77924	−	8.97772i	−0.635172	−	0.733027i
$151$	7.57431	+	2.22402i	0.616388	+	0.180988i	0.574998	−	0.818155i	$-0.305003\pi$
$151$	7.57431	+	2.22402i	0.616388	+	0.180988i	0.0413907	+	0.999143i	$0.486821\pi$
$152$	−1.34081	+	2.93596i	−0.108754	+	0.238137i
$153$	0.847036	+	0.544357i	0.0684788	+	0.0440086i
$154$	−0.397382	+	0.116682i	−0.0320220	+	0.00940250i
$155$	−1.08270	+	7.53038i	−0.0869649	+	0.604854i
$156$	2.54712	+	5.57741i	0.203933	+	0.446550i
$157$	−0.0990906	−	0.689190i	−0.00790829	−	0.0550033i	0.985485	−	0.169762i	$-0.0542998\pi$
$157$	−0.0990906	−	0.689190i	−0.00790829	−	0.0550033i	−0.993393	+	0.114758i	$0.963391\pi$
$158$	6.05535	−	3.89154i	0.481738	−	0.309594i
$159$	−6.49839	+	7.49954i	−0.515356	+	0.594752i
$160$	−4.10843			−0.324800
$161$	−4.53801	+	1.55128i	−0.357645	+	0.122258i
$162$	1.00000			0.0785674
$163$	−7.95377	+	9.17914i	−0.622987	+	0.718965i	−0.976271	−	0.216551i	$-0.930519\pi$
$163$	−7.95377	+	9.17914i	−0.622987	+	0.718965i	0.353284	+	0.935516i	$0.385065\pi$
$164$	7.49291	−	4.81540i	0.585098	−	0.376019i
$165$	0.242155	+	1.68422i	0.0188517	+	0.131117i
$166$	4.03828	+	8.84260i	0.313431	+	0.686319i
$167$	−0.494341	+	3.43822i	−0.0382533	+	0.266057i	−0.999968	−	0.00799501i	$-0.997455\pi$
$167$	−0.494341	+	3.43822i	−0.0382533	+	0.266057i	0.961715	+	0.274052i	$0.0883642\pi$
$168$	−0.959493	+	0.281733i	−0.0740265	+	0.0217361i
$169$	20.6909	+	13.2973i	1.59161	+	1.02287i
$170$	−1.71844	+	3.76285i	−0.131798	+	0.288597i
$171$	3.09689	+	0.909329i	0.236825	+	0.0695381i
$172$	1.29218	+	1.49125i	0.0985277	+	0.113707i
$173$	−16.8282	−	19.4208i	−1.27942	−	1.47654i	−0.801325	−	0.598230i	$-0.795871\pi$
$173$	−16.8282	−	19.4208i	−1.27942	−	1.47654i	−0.478100	−	0.878305i	$-0.658674\pi$
$174$	1.24396	+	0.365261i	0.0943046	+	0.0276903i
$175$	4.93481	−	10.8057i	0.373036	−	0.816836i
$176$	0.348412	+	0.223911i	0.0262626	+	0.0168779i
$177$	−8.82921	+	2.59249i	−0.663644	+	0.194863i
$178$	−2.03039	+	14.1217i	−0.152184	+	1.05846i
$179$	−5.77531	−	12.6462i	−0.431667	−	0.945219i	−0.993053	−	0.117665i	$-0.962459\pi$
$179$	−5.77531	−	12.6462i	−0.431667	−	0.945219i	0.561386	−	0.827554i	$-0.310268\pi$
$180$	0.584691	+	4.06662i	0.0435803	+	0.303108i
$181$	13.7754	−	8.85292i	1.02392	−	0.658032i	0.0829593	−	0.996553i	$-0.473563\pi$
$181$	13.7754	−	8.85292i	1.02392	−	0.658032i	0.940959	+	0.338521i	$0.109926\pi$
$182$	−4.01528	+	4.63388i	−0.297632	+	0.343486i
$183$	−11.1801			−0.826454
$184$	4.14414	+	2.41373i	0.305510	+	0.177942i
$185$	17.8265			1.31063
$186$	1.21264	−	1.39946i	0.0889152	−	0.102614i
$187$	0.350807	−	0.225450i	0.0256536	−	0.0164865i
$188$	0.0957712	+	0.666104i	0.00698484	+	0.0485806i
$189$	0.415415	+	0.909632i	0.0302170	+	0.0661660i
$190$	−1.88717	+	13.1255i	−0.136909	+	0.952226i
$191$	11.5514	−	3.39179i	0.835829	−	0.245421i	0.164310	−	0.986409i	$-0.447460\pi$
$191$	11.5514	−	3.39179i	0.835829	−	0.245421i	0.671519	+	0.740987i	$0.265642\pi$
$192$	0.841254	+	0.540641i	0.0607122	+	0.0390174i
$193$	−4.59840	+	10.0691i	−0.331000	+	0.724789i	−0.999826	−	0.0186297i	$-0.994070\pi$
$193$	−4.59840	+	10.0691i	−0.331000	+	0.724789i	0.668826	+	0.743419i	$0.266797\pi$
$194$	17.6386	+	5.17916i	1.26638	+	0.371842i
$195$	16.4965	+	19.0380i	1.18134	+	1.36334i
$196$	−0.654861	−	0.755750i	−0.0467758	−	0.0539821i
$197$	−0.328474	−	0.0964488i	−0.0234028	−	0.00687169i	0.270010	−	0.962857i	$-0.412973\pi$
$197$	−0.328474	−	0.0964488i	−0.0234028	−	0.00687169i	−0.293413	+	0.955986i	$0.594791\pi$
$198$	0.172048	−	0.376732i	0.0122269	−	0.0267732i
$199$	−12.8570	−	8.26272i	−0.911412	−	0.585729i	−0.00125775	−	0.999999i	$-0.500400\pi$
$199$	−12.8570	−	8.26272i	−0.911412	−	0.585729i	−0.910154	+	0.414271i	$0.864037\pi$
$200$	−11.3980	+	3.34676i	−0.805962	+	0.236652i
$201$	−0.468815	+	3.26068i	−0.0330677	+	0.229991i
$202$	1.36083	+	2.97981i	0.0957479	+	0.209659i
$203$	0.184508	+	1.28328i	0.0129499	+	0.0900688i
$204$	0.847036	−	0.544357i	0.0593044	−	0.0381126i
$205$	23.9634	−	27.6552i	1.67368	−	1.93153i
$206$	18.5096			1.28963
$207$	1.79939	−	4.44547i	0.125066	−	0.308982i
$208$	6.13150			0.425143
$209$	0.875386	−	1.01025i	0.0605517	−	0.0698804i
$210$	−3.45623	+	2.22119i	−0.238503	+	0.153276i
$211$	1.94220	+	13.5083i	0.133706	+	0.929948i	0.940664	+	0.339339i	$0.110203\pi$
$211$	1.94220	+	13.5083i	0.133706	+	0.929948i	−0.806958	+	0.590609i	$0.798888\pi$
$212$	4.12229	+	9.02656i	0.283120	+	0.619947i
$213$	1.39681	−	9.71500i	0.0957076	−	0.665661i
$214$	−4.60288	+	1.35153i	−0.314646	+	0.0923885i
$215$	6.81988	+	4.38287i	0.465112	+	0.298909i
$216$	0.415415	−	0.909632i	0.0282654	−	0.0618926i
$217$	1.77675	+	0.521700i	0.120613	+	0.0354153i
$218$	−5.85027	−	6.75157i	−0.396230	−	0.457274i
$219$	4.77279	+	5.50809i	0.322515	+	0.372202i
$220$	1.63262	+	0.479380i	0.110071	+	0.0323198i
$221$	2.56463	−	5.61575i	0.172515	−	0.377756i
$222$	−3.65020	−	2.34584i	−0.244985	−	0.157443i
$223$	3.73405	−	1.09642i	0.250051	−	0.0734215i	−0.154305	−	0.988023i	$-0.549314\pi$
$223$	3.73405	−	1.09642i	0.250051	−	0.0734215i	0.404356	+	0.914602i	$0.367496\pi$
$224$	−0.142315	+	0.989821i	−0.00950881	+	0.0661352i
$225$	4.93481	+	10.8057i	0.328987	+	0.720381i
$226$	−0.406280	−	2.82574i	−0.0270254	−	0.187966i
$227$	4.02474	−	2.58654i	0.267131	−	0.171675i	−0.400218	−	0.916420i	$-0.631065\pi$
$227$	4.02474	−	2.58654i	0.267131	−	0.171675i	0.667349	+	0.744745i	$0.267429\pi$
$228$	2.11365	−	2.43928i	0.139980	−	0.161545i
$229$	10.6281			0.702325			0.351163	−	0.936315i	$-0.385786\pi$
$229$	10.6281			0.702325			0.351163	+	0.936315i	$0.385786\pi$
$230$	19.1301	+	4.71818i	1.26140	+	0.311108i
$231$	0.414159			0.0272496
$232$	0.849014	−	0.979814i	0.0557405	−	0.0643279i
$233$	19.9409	−	12.8152i	1.30637	−	0.839553i	0.312480	−	0.949924i	$-0.398840\pi$
$233$	19.9409	−	12.8152i	1.30637	−	0.839553i	0.993890	+	0.110371i	$0.0352039\pi$
$234$	−0.872604	−	6.06909i	−0.0570439	−	0.396749i
$235$	1.14853	+	2.51494i	0.0749220	+	0.164056i
$236$	−1.30957	+	9.10829i	−0.0852460	+	0.592899i
$237$	−6.90644	+	2.02791i	−0.448621	+	0.131727i
$238$	0.847036	+	0.544357i	0.0549052	+	0.0352854i
$239$	−0.0864918	+	0.189391i	−0.00559469	+	0.0122507i	−0.912409	−	0.409280i	$-0.865780\pi$
$239$	−0.0864918	+	0.189391i	−0.00559469	+	0.0122507i	0.906814	+	0.421531i	$0.138507\pi$
$240$	3.94201	+	1.15748i	0.254456	+	0.0747150i
$241$	9.40372	+	10.8525i	0.605747	+	0.699069i	0.972935	−	0.231077i	$-0.0742251\pi$
$241$	9.40372	+	10.8525i	0.605747	+	0.699069i	−0.367189	+	0.930147i	$0.619680\pi$
$242$	7.09114	+	8.18361i	0.455836	+	0.526063i
$243$	−0.959493	−	0.281733i	−0.0615515	−	0.0180732i
$244$	−4.64437	+	10.1697i	−0.297325	+	0.651051i
$245$	−3.45623	−	2.22119i	−0.220811	−	0.141906i
$246$	−8.54604	+	2.50935i	−0.544876	+	0.159990i
$247$	2.81644	−	19.5888i	0.179206	−	1.24641i
$248$	−0.769247	−	1.68442i	−0.0488472	−	0.106961i
$249$	−1.38345	−	9.62213i	−0.0876728	−	0.609778i
$250$	−23.7762	+	15.2800i	−1.50374	+	0.966394i
$251$	6.92249	−	7.98898i	0.436944	−	0.504260i	−0.493980	−	0.869473i	$-0.664458\pi$
$251$	6.92249	−	7.98898i	0.436944	−	0.504260i	0.930924	+	0.365213i	$0.119004\pi$
$252$	1.00000			0.0629941
$253$	−1.36517	−	1.44272i	−0.0858276	−	0.0907030i
$254$	−14.6893			−0.921691
$255$	2.70894	−	3.12629i	0.169641	−	0.195776i
$256$	0.841254	−	0.540641i	0.0525783	−	0.0337901i
$257$	3.87726	+	26.9669i	0.241857	+	1.68215i	0.642789	+	0.766044i	$0.277777\pi$
$257$	3.87726	+	26.9669i	0.241857	+	1.68215i	−0.400932	+	0.916108i	$0.631314\pi$
$258$	−0.819702	−	1.79490i	−0.0510324	−	0.111745i
$259$	0.617504	−	4.29484i	0.0383698	−	0.266868i
$260$	24.1705	−	7.09709i	1.49899	−	0.440143i
$261$	−1.09067	−	0.700930i	−0.0675107	−	0.0433865i
$262$	2.06166	−	4.51440i	0.127370	−	0.278900i
$263$	−16.2007	−	4.75696i	−0.998979	−	0.293327i	−0.258942	−	0.965893i	$-0.583374\pi$
$263$	−16.2007	−	4.75696i	−0.998979	−	0.293327i	−0.740037	+	0.672566i	$0.765192\pi$
$264$	−0.271216	−	0.313000i	−0.0166922	−	0.0192638i
$265$	26.6982	+	30.8114i	1.64006	+	1.89273i
$266$	3.09689	+	0.909329i	0.189882	+	0.0557545i
$267$	5.92668	−	12.9776i	0.362707	−	0.794217i
$268$	2.77127	+	1.78099i	0.169282	+	0.108791i
$269$	−17.0338	+	5.00156i	−1.03857	+	0.304951i	−0.756189	−	0.654353i	$-0.772941\pi$
$269$	−17.0338	+	5.00156i	−1.03857	+	0.304951i	−0.282377	+	0.959304i	$0.591123\pi$
$270$	0.584691	−	4.06662i	0.0355832	−	0.247486i
$271$	12.7684	+	27.9590i	0.775628	+	1.69839i	0.713851	+	0.700298i	$0.246949\pi$
$271$	12.7684	+	27.9590i	0.775628	+	1.69839i	0.0617766	+	0.998090i	$0.480323\pi$
$272$	−0.143293	−	0.996625i	−0.00868842	−	0.0604293i
$273$	5.15815	−	3.31494i	0.312185	−	0.200629i
$274$	11.5232	−	13.2984i	0.696140	−	0.803388i
$275$	4.91988			0.296680
$276$	−3.29625	−	3.48349i	−0.198411	−	0.209682i
$277$	−8.08511			−0.485787			−0.242894	−	0.970053i	$-0.578097\pi$
$277$	−8.08511			−0.485787			−0.242894	+	0.970053i	$0.578097\pi$
$278$	9.64498	−	11.1309i	0.578467	−	0.667587i
$279$	−1.55780	+	1.00113i	−0.0932628	+	0.0599364i
$280$	0.584691	+	4.06662i	0.0349420	+	0.243027i
$281$	1.58371	+	3.46784i	0.0944761	+	0.206874i	0.950970	−	0.309284i	$-0.100089\pi$
$281$	1.58371	+	3.46784i	0.0944761	+	0.206874i	−0.856494	+	0.516157i	$0.827362\pi$
$282$	0.0957712	−	0.666104i	0.00570309	−	0.0396659i
$283$	−14.1034	+	4.14113i	−0.838360	+	0.246165i	−0.672605	−	0.740002i	$-0.734824\pi$
$283$	−14.1034	+	4.14113i	−0.838360	+	0.246165i	−0.165756	+	0.986167i	$0.553006\pi$
$284$	−8.25682	−	5.30634i	−0.489952	−	0.314873i
$285$	5.50861	−	12.0622i	0.326302	−	0.714502i
$286$	−2.43655	−	0.715436i	−0.144076	−	0.0423046i
$287$	−5.83274	−	6.73134i	−0.344296	−	0.397338i
$288$	−0.654861	−	0.755750i	−0.0385880	−	0.0445330i
$289$	15.3387	+	4.50383i	0.902274	+	0.264931i
$290$	2.21271	−	4.84515i	0.129935	−	0.284517i
$291$	−15.4650	−	9.93874i	−0.906573	−	0.582619i
$292$	6.99302	−	2.05334i	0.409236	−	0.120162i
$293$	3.23053	−	22.4688i	0.188729	−	1.31264i	−0.646573	−	0.762852i	$-0.723799\pi$
$293$	3.23053	−	22.4688i	0.188729	−	1.31264i	0.835303	−	0.549790i	$-0.185292\pi$
$294$	0.415415	+	0.909632i	0.0242275	+	0.0530508i
$295$	5.38030	+	37.4208i	0.313253	+	2.17872i
$296$	−3.65020	+	2.34584i	−0.212164	+	0.136349i
$297$	−0.271216	+	0.313000i	−0.0157376	+	0.0181621i
$298$	10.5836			0.613093
$299$	−28.5501	−	7.04151i	−1.65110	−	0.407221i
$300$	11.8792			0.685847
$301$	1.29218	−	1.49125i	0.0744800	−	0.0859545i
$302$	−6.64092	+	4.26786i	−0.382142	+	0.245588i
$303$	−0.466201	−	3.24250i	−0.0267825	−	0.186277i
$304$	−1.34081	−	2.93596i	−0.0769005	−	0.168389i
$305$	−6.53688	+	45.4650i	−0.374301	+	2.60332i
$306$	−0.966088	+	0.283669i	−0.0552276	+	0.0162163i
$307$	−17.8083	−	11.4447i	−1.01637	−	0.653184i	−0.0773390	−	0.997005i	$-0.524642\pi$
$307$	−17.8083	−	11.4447i	−1.01637	−	0.653184i	−0.939035	+	0.343821i	$0.888279\pi$
$308$	0.172048	−	0.376732i	0.00980333	−	0.0214663i
$309$	−17.7599	−	5.21476i	−1.01032	−	0.296657i
$310$	−4.98206	−	5.74960i	−0.282962	−	0.326555i
$311$	−17.8376	−	20.5857i	−1.01148	−	1.16731i	−0.985849	−	0.167636i	$-0.946387\pi$
$311$	−17.8376	−	20.5857i	−1.01148	−	1.16731i	−0.0256283	−	0.999672i	$-0.508159\pi$
$312$	−5.88314	−	1.72744i	−0.333067	−	0.0977973i
$313$	13.1568	−	28.8095i	0.743669	−	1.62841i	−0.0337546	−	0.999430i	$-0.510746\pi$
$313$	13.1568	−	28.8095i	0.743669	−	1.62841i	0.777423	−	0.628978i	$-0.216526\pi$
$314$	0.585746	+	0.376436i	0.0330555	+	0.0212435i
$315$	3.94201	−	1.15748i	0.222107	−	0.0652166i
$316$	−1.02438	+	7.12474i	−0.0576260	+	0.400798i
$317$	6.96562	+	15.2526i	0.391228	+	0.856670i	0.998085	+	0.0618589i	$0.0197029\pi$
$317$	6.96562	+	15.2526i	0.391228	+	0.856670i	−0.606857	+	0.794811i	$0.707570\pi$
$318$	−1.41223	−	9.82231i	−0.0791942	−	0.550808i
$319$	−0.451710	+	0.290296i	−0.0252909	+	0.0162535i
$320$	2.69045	−	3.10495i	0.150401	−	0.173572i
$321$	4.79720			0.267754
$322$	1.79939	−	4.44547i	0.100276	−	0.247736i
$323$	−3.24982			−0.180825
$324$	−0.654861	+	0.755750i	−0.0363812	+	0.0419861i
$325$	61.2748	−	39.3789i	3.39891	−	2.18435i
$326$	−1.72852	−	12.0221i	−0.0957338	−	0.665843i
$327$	3.71115	+	8.12629i	0.205227	+	0.449385i
$328$	−1.26757	+	8.81618i	−0.0699901	+	0.486792i
$329$	0.645694	−	0.189593i	0.0355983	−	0.0104526i
$330$	−1.43143	−	0.919924i	−0.0787976	−	0.0506401i
$331$	0.576363	−	1.26206i	0.0316798	−	0.0693691i	−0.893131	−	0.449797i	$-0.851496\pi$
$331$	0.576363	−	1.26206i	0.0316798	−	0.0693691i	0.924810	+	0.380428i	$0.124223\pi$
$332$	−9.32730	−	2.73874i	−0.511902	−	0.150308i
$333$	2.84144	+	3.27920i	0.155710	+	0.179699i
$334$	−2.27471	−	2.62515i	−0.124466	−	0.143642i
$335$	12.9858	+	3.81298i	0.709492	+	0.208326i
$336$	0.415415	−	0.909632i	0.0226627	−	0.0496245i
$337$	−3.97629	−	2.55541i	−0.216602	−	0.139202i	0.427841	−	0.903854i	$-0.359274\pi$
$337$	−3.97629	−	2.55541i	−0.216602	−	0.139202i	−0.644443	+	0.764652i	$0.722911\pi$
$338$	−23.5991	+	6.92931i	−1.28362	+	0.376905i
$339$	−0.406280	+	2.82574i	−0.0220661	+	0.153473i
$340$	−1.71844	−	3.76285i	−0.0931953	−	0.204069i
$341$	0.109144	+	0.759115i	0.00591049	+	0.0411084i
$342$	−2.71526	+	1.74499i	−0.146824	+	0.0943582i
$343$	−0.654861	+	0.755750i	−0.0353592	+	0.0408066i
$344$	−1.97321			−0.106388
$345$	−17.0259	−	9.91664i	−0.916645	−	0.533894i
$346$	25.6974			1.38150
$347$	−14.4632	+	16.6914i	−0.776423	+	0.896040i	−0.996846	−	0.0793648i	$-0.974711\pi$
$347$	−14.4632	+	16.6914i	−0.776423	+	0.896040i	0.220423	+	0.975404i	$0.429256\pi$
$348$	−1.09067	+	0.700930i	−0.0584659	+	0.0375738i
$349$	−0.272196	−	1.89317i	−0.0145703	−	0.101339i	0.981239	−	0.192798i	$-0.0617561\pi$
$349$	−0.272196	−	1.89317i	−0.0145703	−	0.101339i	−0.995809	+	0.0914588i	$0.970847\pi$
$350$	4.93481	+	10.8057i	0.263777	+	0.577590i
$351$	−0.872604	+	6.06909i	−0.0465762	+	0.323944i
$352$	−0.397382	+	0.116682i	−0.0211806	+	0.00621917i
$353$	6.55751	+	4.21426i	0.349021	+	0.224302i	0.703391	−	0.710803i	$-0.251668\pi$
$353$	6.55751	+	4.21426i	0.349021	+	0.224302i	−0.354370	+	0.935105i	$0.615305\pi$
$354$	3.82263	−	8.37039i	0.203170	−	0.444881i
$355$	−38.6905	−	11.3605i	−2.05348	−	0.602955i
$356$	−9.34283	−	10.7822i	−0.495169	−	0.571455i
$357$	−0.659362	−	0.760944i	−0.0348971	−	0.0402734i
$358$	13.3394	+	3.91679i	0.705007	+	0.207009i
$359$	13.3245	−	29.1766i	0.703239	−	1.53988i	−0.132759	−	0.991148i	$-0.542384\pi$
$359$	13.3245	−	29.1766i	0.703239	−	1.53988i	0.835999	−	0.548731i	$-0.184889\pi$
$360$	−3.45623	−	2.22119i	−0.182160	−	0.117067i
$361$	8.23475	−	2.41794i	0.433408	−	0.127260i
$362$	−2.33039	+	16.2082i	−0.122482	+	0.851884i
$363$	−4.49831	−	9.84993i	−0.236100	−	0.516987i
$364$	−0.872604	−	6.06909i	−0.0457369	−	0.318107i
$365$	25.1899	−	16.1886i	1.31850	−	0.847348i
$366$	7.32139	−	8.44933i	0.382695	−	0.441654i
$367$	1.94002			0.101268			0.0506342	−	0.998717i	$-0.483876\pi$
$367$	1.94002			0.101268			0.0506342	+	0.998717i	$0.483876\pi$
$368$	−4.53801	+	1.55128i	−0.236560	+	0.0808660i
$369$	8.90683			0.463671
$370$	−11.6739	+	13.4724i	−0.606896	+	0.700395i
$371$	8.34802	−	5.36495i	0.433408	−	0.278534i
$372$	0.263532	+	1.83291i	0.0136635	+	0.0950318i
$373$	0.527559	+	1.15519i	0.0273160	+	0.0598137i	0.922798	−	0.385284i	$-0.125896\pi$
$373$	0.527559	+	1.15519i	0.0273160	+	0.0598137i	−0.895482	+	0.445097i	$0.853169\pi$
$374$	−0.0593461	+	0.412761i	−0.00306871	+	0.0213434i
$375$	27.1180	−	7.96256i	1.40037	−	0.411185i
$376$	−0.566124	−	0.363826i	−0.0291956	−	0.0187629i
$377$	−3.30229	+	7.23100i	−0.170076	+	0.372416i
$378$	−0.959493	−	0.281733i	−0.0493510	−	0.0144908i
$379$	9.22317	+	10.6441i	0.473763	+	0.546751i	0.941454	−	0.337140i	$-0.109460\pi$
$379$	9.22317	+	10.6441i	0.473763	+	0.546751i	−0.467692	+	0.883892i	$0.654914\pi$
$380$	−8.68378	−	10.0216i	−0.445469	−	0.514098i
$381$	14.0943	+	4.13846i	0.722073	+	0.212020i
$382$	−5.00120	+	10.9511i	−0.255884	+	0.560307i
$383$	11.4820	+	7.37903i	0.586703	+	0.377051i	0.800057	−	0.599924i	$-0.204803\pi$
$383$	11.4820	+	7.37903i	0.586703	+	0.377051i	−0.213354	+	0.976975i	$0.568439\pi$
$384$	−0.959493	+	0.281733i	−0.0489639	+	0.0143771i
$385$	0.242155	−	1.68422i	0.0123414	−	0.0858360i
$386$	−4.59840	−	10.0691i	−0.234052	−	0.512503i
$387$	0.280817	+	1.95313i	0.0142747	+	0.0992831i
$388$	−15.4650	+	9.93874i	−0.785115	+	0.504563i
$389$	−18.8237	+	21.7237i	−0.954399	+	1.10143i	0.0403601	+	0.999185i	$0.487149\pi$
$389$	−18.8237	+	21.7237i	−0.954399	+	1.10143i	−0.994759	+	0.102250i	$0.967396\pi$
$390$	−25.1909			−1.27559
$391$	−0.477323	+	4.80515i	−0.0241393	+	0.243007i
$392$	1.00000			0.0505076
$393$	−3.25000	+	3.75070i	−0.163941	+	0.189198i
$394$	0.287996	−	0.185084i	0.0145090	−	0.00932439i
$395$	4.20861	+	29.2715i	0.211758	+	1.47281i
$396$	0.172048	+	0.376732i	0.00864572	+	0.0189315i
$397$	−3.52044	+	24.4852i	−0.176686	+	1.22888i	0.687680	+	0.726014i	$0.258629\pi$
$397$	−3.52044	+	24.4852i	−0.176686	+	1.22888i	−0.864366	+	0.502863i	$0.832280\pi$
$398$	14.6641	−	4.30577i	0.735046	−	0.215829i
$399$	−2.71526	−	1.74499i	−0.135933	−	0.0873587i
$400$	4.93481	−	10.8057i	0.246740	−	0.540286i
$401$	−33.9268	−	9.96181i	−1.69422	−	0.497469i	−0.714808	−	0.699320i	$-0.753486\pi$
$401$	−33.9268	−	9.96181i	−1.69422	−	0.497469i	−0.979416	+	0.201851i	$0.935304\pi$
$402$	−2.15725	−	2.48960i	−0.107594	−	0.124170i
$403$	7.43532	+	8.58082i	0.370380	+	0.427441i
$404$	−3.14315	−	0.922911i	−0.156377	−	0.0459165i
$405$	−1.70670	+	3.73716i	−0.0848068	+	0.185701i
$406$	−1.09067	−	0.700930i	−0.0541289	−	0.0347866i
$407$	1.72424	−	0.506283i	0.0854675	−	0.0250955i
$408$	−0.143293	+	0.996625i	−0.00709406	+	0.0493403i
$409$	4.69102	+	10.2719i	0.231956	+	0.507913i	0.989440	−	0.144940i	$-0.0462990\pi$
$409$	4.69102	+	10.2719i	0.231956	+	0.507913i	−0.757484	+	0.652853i	$0.773572\pi$
$410$	5.20775	+	36.2207i	0.257192	+	1.78881i
$411$	−14.8030	+	9.51331i	−0.730178	+	0.469257i
$412$	−12.1212	+	13.9886i	−0.597170	+	0.689171i
$413$	9.20195			0.452798
$414$	2.18132	+	4.27105i	0.107206	+	0.209911i
$415$	−39.9384			−1.96050
$416$	−4.01528	+	4.63388i	−0.196865	+	0.227195i
$417$	−12.3902	+	7.96272i	−0.606752	+	0.389936i
$418$	0.190240	+	1.32315i	0.00930492	+	0.0647171i
$419$	−7.02485	−	15.3823i	−0.343186	−	0.751473i	0.656810	−	0.754056i	$-0.271905\pi$
$419$	−7.02485	−	15.3823i	−0.343186	−	0.751473i	−0.999997	+	0.00258272i	$0.999178\pi$
$420$	0.584691	−	4.06662i	0.0285300	−	0.198430i
$421$	9.14316	−	2.68467i	0.445610	−	0.130843i	−0.0512264	−	0.998687i	$-0.516313\pi$
$421$	9.14316	−	2.68467i	0.445610	−	0.130843i	0.496837	+	0.867844i	$0.334495\pi$
$422$	−11.4807	−	7.37822i	−0.558873	−	0.359166i
$423$	−0.279555	+	0.612140i	−0.0135924	+	0.0297633i
$424$	−9.52135	−	2.79572i	−0.462398	−	0.135772i
$425$	−7.83271	−	9.03942i	−0.379942	−	0.438477i
$426$	6.42739	+	7.41761i	0.311408	+	0.359384i
$427$	10.7272	+	3.14979i	0.519125	+	0.152429i
$428$	1.99283	−	4.36369i	0.0963270	−	0.210927i
$429$	2.13629	+	1.37291i	0.103141	+	0.0662848i
$430$	−7.77843	+	2.28395i	−0.375109	+	0.110142i
$431$	4.66025	−	32.4128i	0.224476	−	1.56127i	−0.496331	−	0.868133i	$-0.665320\pi$
$431$	4.66025	−	32.4128i	0.224476	−	1.56127i	0.720808	−	0.693135i	$-0.243771\pi$
$432$	0.415415	+	0.909632i	0.0199867	+	0.0437647i
$433$	−5.64675	−	39.2740i	−0.271366	−	1.88739i	−0.434323	−	0.900757i	$-0.643012\pi$
$433$	−5.64675	−	39.2740i	−0.271366	−	1.88739i	0.162958	−	0.986633i	$-0.447897\pi$
$434$	−1.55780	+	1.00113i	−0.0747766	+	0.0480560i
$435$	−3.48812	+	4.02550i	−0.167242	+	0.193008i
$436$	8.93360			0.427842
$437$	2.87150	+	15.2105i	0.137363	+	0.727617i
$438$	−7.28825			−0.348246
$439$	−21.2607	+	24.5361i	−1.01472	+	1.17105i	−0.0295301	+	0.999564i	$0.509401\pi$
$439$	−21.2607	+	24.5361i	−1.01472	+	1.17105i	−0.985187	+	0.171482i	$0.945144\pi$
$440$	−1.43143	+	0.919924i	−0.0682407	+	0.0438556i
$441$	−0.142315	−	0.989821i	−0.00677690	−	0.0471344i
$442$	2.56463	+	5.61575i	0.121987	+	0.267114i
$443$	1.55066	−	10.7851i	0.0736741	−	0.512415i	−0.919251	−	0.393672i	$-0.871205\pi$
$443$	1.55066	−	10.7851i	0.0736741	−	0.512415i	0.992925	−	0.118743i	$-0.0378864\pi$
$444$	4.16324	−	1.22244i	0.197579	−	0.0580143i
$445$	−49.3097	−	31.6894i	−2.33750	−	1.50222i
$446$	−1.61667	+	3.54001i	−0.0765514	+	0.167624i
$447$	−10.1549	−	2.98175i	−0.480311	−	0.141032i
$448$	−0.654861	−	0.755750i	−0.0309393	−	0.0357058i
$449$	−6.21479	−	7.17225i	−0.293294	−	0.338480i	0.589909	−	0.807470i	$-0.299163\pi$
$449$	−6.21479	−	7.17225i	−0.293294	−	0.338480i	−0.883203	+	0.468990i	$0.844618\pi$
$450$	−11.3980	−	3.34676i	−0.537308	−	0.157768i
$451$	1.53240	−	3.35549i	0.0721579	−	0.158004i
$452$	2.40161	+	1.54342i	0.112962	+	0.0725964i
$453$	7.57431	−	2.22402i	0.355872	−	0.104493i
$454$	−0.680865	+	4.73552i	−0.0319546	+	0.222249i
$455$	−10.4647	−	22.9144i	−0.490591	−	1.07424i
$456$	0.459340	+	3.19478i	0.0215106	+	0.149609i
$457$	−7.74849	+	4.97965i	−0.362459	+	0.232938i	−0.709176	−	0.705032i	$-0.750933\pi$
$457$	−7.74849	+	4.97965i	−0.362459	+	0.232938i	0.346717	+	0.937970i	$0.387296\pi$
$458$	−6.95993	+	8.03219i	−0.325216	+	0.375319i
$459$	1.00687			0.0469968
$460$	−16.0933	+	11.3678i	−0.750355	+	0.530027i
$461$	28.8775			1.34496			0.672481	−	0.740115i	$-0.265229\pi$
$461$	28.8775			1.34496			0.672481	+	0.740115i	$0.265229\pi$
$462$	−0.271216	+	0.313000i	−0.0126181	+	0.0145621i
$463$	−10.5058	+	6.75169i	−0.488248	+	0.313778i	−0.761500	−	0.648165i	$-0.775537\pi$
$463$	−10.5058	+	6.75169i	−0.488248	+	0.313778i	0.273253	+	0.961942i	$0.411901\pi$
$464$	0.184508	+	1.28328i	0.00856558	+	0.0595749i
$465$	3.16040	+	6.92031i	0.146560	+	0.320922i
$466$	−3.37340	+	23.4625i	−0.156270	+	1.08688i
$467$	−16.9258	+	4.96985i	−0.783231	+	0.229977i	−0.648814	−	0.760947i	$-0.724735\pi$
$467$	−16.9258	+	4.96985i	−0.783231	+	0.229977i	−0.134418	+	0.990925i	$0.542916\pi$
$468$	5.15815	+	3.31494i	0.238436	+	0.153233i
$469$	1.36847	−	2.99652i	0.0631899	−	0.138367i
$470$	−2.65279	−	0.778930i	−0.122364	−	0.0359293i
$471$	−0.455965	−	0.526211i	−0.0210097	−	0.0242465i
$472$	−6.02600	−	6.95437i	−0.277369	−	0.320101i
$473$	0.784120	+	0.230238i	0.0360539	+	0.0105864i
$474$	2.99016	−	6.54754i	0.137343	−	0.300738i
$475$	−32.2551	−	20.7291i	−1.47997	−	0.951117i
$476$	−0.966088	+	0.283669i	−0.0442806	+	0.0130019i
$477$	−1.41223	+	9.82231i	−0.0646618	+	0.449733i
$478$	−0.0864918	−	0.189391i	−0.00395604	−	0.00866253i
$479$	5.04389	+	35.0810i	0.230461	+	1.60289i	0.696118	+	0.717927i	$0.254909\pi$
$479$	5.04389	+	35.0810i	0.230461	+	1.60289i	−0.465657	+	0.884965i	$0.654182\pi$
$480$	−3.45623	+	2.22119i	−0.157755	+	0.101383i
$481$	17.4223	−	20.1064i	0.794389	−	0.916774i
$482$	−14.3599			−0.654074
$483$	−2.97893	+	3.75845i	−0.135546	+	0.171016i
$484$	−10.8285			−0.492203
$485$	−49.4593	+	57.0790i	−2.24583	+	2.59183i
$486$	0.841254	−	0.540641i	0.0381600	−	0.0245240i
$487$	−6.23292	−	43.3509i	−0.282440	−	1.96442i	−0.263751	−	0.964591i	$-0.584960\pi$
$487$	−6.23292	−	43.3509i	−0.282440	−	1.96442i	−0.0186898	−	0.999825i	$-0.505949\pi$
$488$	−4.64437	−	10.1697i	−0.210241	−	0.460363i
$489$	−1.72852	+	12.0221i	−0.0781663	+	0.543659i
$490$	3.94201	−	1.15748i	0.178082	−	0.0522896i
$491$	−9.35145	−	6.00981i	−0.422025	−	0.271219i	0.312344	−	0.949969i	$-0.398886\pi$
$491$	−9.35145	−	6.00981i	−0.422025	−	0.271219i	−0.734370	+	0.678750i	$0.762522\pi$
$492$	3.70003	−	8.10194i	0.166810	−	0.365264i
$493$	1.25251	+	0.367771i	0.0564104	+	0.0165636i
$494$	12.9598	+	14.9565i	0.583091	+	0.672923i
$495$	1.11427	+	1.28594i	0.0500829	+	0.0577987i
$496$	1.77675	+	0.521700i	0.0797783	+	0.0234250i
$497$	−4.07726	+	8.92795i	−0.182890	+	0.400473i
$498$	8.17789	+	5.25561i	0.366460	+	0.235509i
$499$	0.919203	−	0.269902i	0.0411492	−	0.0120825i	−0.261093	−	0.965314i	$-0.584083\pi$
$499$	0.919203	−	0.269902i	0.0411492	−	0.0120825i	0.302242	+	0.953231i	$0.402265\pi$
$500$	4.02222	−	27.9751i	0.179879	−	1.25109i
$501$	1.44298	+	3.15968i	0.0644674	+	0.141164i
$502$	1.50440	+	10.4633i	0.0671447	+	0.467002i
$503$	23.0630	−	14.8217i	1.02833	−	0.660868i	0.0862563	−	0.996273i	$-0.472510\pi$
$503$	23.0630	−	14.8217i	1.02833	−	0.660868i	0.942074	+	0.335405i	$0.108873\pi$
$504$	−0.654861	+	0.755750i	−0.0291698	+	0.0336638i
$505$	−13.4586			−0.598898
$506$	1.98433	−	0.0869469i	0.0882143	−	0.00386526i
$507$	24.5954			1.09232
$508$	9.61947	−	11.1015i	0.426795	−	0.492548i
$509$	25.1729	−	16.1777i	1.11577	−	0.717063i	0.153228	−	0.988191i	$-0.451033\pi$
$509$	25.1729	−	16.1777i	1.11577	−	0.717063i	0.962543	+	0.271128i	$0.0873967\pi$
$510$	0.588710	+	4.09457i	0.0260685	+	0.181310i
$511$	−3.02765	−	6.62962i	−0.133935	−	0.293277i
$512$	−0.142315	+	0.989821i	−0.00628949	+	0.0437443i
$513$	3.09689	−	0.909329i	0.136731	−	0.0401478i
$514$	−22.9193	−	14.7294i	−1.01093	−	0.649684i
$515$	−31.5905	+	69.1734i	−1.39204	+	3.04815i
$516$	1.89328	+	0.555918i	0.0833471	+	0.0244729i
$517$	0.182516	+	0.210635i	0.00802704	+	0.00926370i
$518$	2.84144	+	3.27920i	0.124846	+	0.144080i
$519$	−24.6565	−	7.23979i	−1.08230	−	0.317791i
$520$	−10.4647	+	22.9144i	−0.458906	+	1.00486i
$521$	−4.09154	−	2.62947i	−0.179254	−	0.115199i	0.447937	−	0.894065i	$-0.352159\pi$
$521$	−4.09154	−	2.62947i	−0.179254	−	0.115199i	−0.627191	+	0.778866i	$0.715795\pi$
$522$	1.24396	−	0.365261i	0.0544468	−	0.0159870i
$523$	2.52323	−	17.5494i	0.110333	−	0.767384i	−0.857263	−	0.514879i	$-0.827837\pi$
$523$	2.52323	−	17.5494i	0.110333	−	0.767384i	0.967596	−	0.252504i	$-0.0812542\pi$
$524$	2.06166	+	4.51440i	0.0900639	+	0.197212i
$525$	−1.69059	−	11.7583i	−0.0737834	−	0.513175i
$526$	14.2043	−	9.12854i	0.619336	−	0.398023i
$527$	1.22098	−	1.40908i	0.0531866	−	0.0613806i
$528$	0.414159			0.0180239
$529$	22.9119	−	2.01171i	0.996168	−	0.0874655i
$530$	−40.7693			−1.77090
$531$	−6.02600	+	6.95437i	−0.261506	+	0.301794i
$532$	−2.71526	+	1.74499i	−0.117721	+	0.0756549i
$533$	−7.77214	−	54.0564i	−0.336649	−	2.34144i
$534$	5.92668	+	12.9776i	0.256473	+	0.561597i
$535$	2.80488	−	19.5084i	0.121265	−	0.843420i
$536$	−3.16077	+	0.928087i	−0.136525	+	0.0400873i
$537$	−11.6955	−	7.51627i	−0.504700	−	0.324351i
$538$	7.37481	−	16.1486i	0.317951	−	0.696215i
$539$	−0.397382	−	0.116682i	−0.0171165	−	0.00502585i
$540$	2.69045	+	3.10495i	0.115779	+	0.133616i
$541$	4.81474	+	5.55650i	0.207002	+	0.238893i	0.849751	−	0.527184i	$-0.176752\pi$
$541$	4.81474	+	5.55650i	0.207002	+	0.238893i	−0.642750	+	0.766076i	$0.722207\pi$
$542$	−29.4915	−	8.65950i	−1.26677	−	0.371957i
$543$	6.80236	−	14.8951i	0.291917	−	0.639210i
$544$	0.847036	+	0.544357i	0.0363164	+	0.0233391i
$545$	35.2164	−	10.3405i	1.50850	−	0.442937i
$546$	−0.872604	+	6.06909i	−0.0373440	+	0.259733i
$547$	−12.7467	−	27.9113i	−0.545008	−	1.19340i	−0.959074	−	0.283154i	$-0.908619\pi$
$547$	−12.7467	−	27.9113i	−0.545008	−	1.19340i	0.414066	−	0.910247i	$-0.364108\pi$
$548$	2.50422	+	17.4173i	0.106975	+	0.744028i
$549$	−9.40527	+	6.04440i	−0.401407	+	0.257969i
$550$	−3.22184	+	3.71820i	−0.137380	+	0.158545i
$551$	4.18456			0.178268
$552$	4.79123	−	0.209936i	0.203928	−	0.00893548i
$553$	7.19801			0.306090
$554$	5.29462	−	6.11032i	0.224947	−	0.259603i
$555$	14.9966	−	9.63773i	0.636570	−	0.409099i
$556$	2.09605	+	14.5784i	0.0888925	+	0.618261i
$557$	−8.54235	−	18.7051i	−0.361951	−	0.792562i	−0.999750	−	0.0223592i	$-0.992882\pi$
$557$	−8.54235	−	18.7051i	−0.361951	−	0.792562i	0.637799	−	0.770203i	$-0.279845\pi$
$558$	0.263532	−	1.83291i	0.0111562	−	0.0775932i
$559$	11.6087	−	3.40861i	0.490995	−	0.144169i
$560$	−3.45623	−	2.22119i	−0.146053	−	0.0938623i
$561$	0.173230	−	0.379321i	0.00731379	−	0.0160150i
$562$	−3.65792	−	1.07406i	−0.154300	−	0.0453066i
$563$	4.01460	+	4.63309i	0.169195	+	0.195262i	0.834014	−	0.551743i	$-0.186037\pi$
$563$	4.01460	+	4.63309i	0.169195	+	0.195262i	−0.664819	+	0.747004i	$0.731491\pi$
$564$	0.440691	+	0.508584i	0.0185564	+	0.0214153i
$565$	11.2537	+	3.30437i	0.473445	+	0.139016i
$566$	6.10610	−	13.3705i	0.256659	−	0.562004i
$567$	0.841254	+	0.540641i	0.0353293	+	0.0227048i
$568$	9.41733	−	2.76518i	0.395142	−	0.116024i
$569$	−2.80032	+	19.4767i	−0.117396	+	0.816504i	0.843010	+	0.537898i	$0.180782\pi$
$569$	−2.80032	+	19.4767i	−0.117396	+	0.816504i	−0.960405	+	0.278606i	$0.910128\pi$
$570$	5.50861	+	12.0622i	0.230730	+	0.505229i
$571$	−3.77032	−	26.2231i	−0.157783	−	1.09740i	−0.902707	−	0.430255i	$-0.858424\pi$
$571$	−3.77032	−	26.2231i	−0.157783	−	1.09740i	0.744924	−	0.667149i	$-0.232486\pi$
$572$	2.13629	−	1.37291i	0.0893229	−	0.0574043i
$573$	7.88390	−	9.09851i	0.329355	−	0.380096i
$574$	8.90683			0.371764
$575$	−35.3874	+	44.6475i	−1.47576	+	1.86193i
$576$	1.00000			0.0416667
$577$	−15.2126	+	17.5563i	−0.633308	+	0.730876i	−0.978177	−	0.207774i	$-0.933378\pi$
$577$	−15.2126	+	17.5563i	−0.633308	+	0.730876i	0.344869	+	0.938651i	$0.387923\pi$
$578$	−13.4485	+	8.64280i	−0.559382	+	0.359493i
$579$	1.57534	+	10.9567i	0.0654689	+	0.455346i
$580$	2.21271	+	4.84515i	0.0918777	+	0.201184i
$581$	−1.38345	+	9.62213i	−0.0573953	+	0.399193i
$582$	17.6386	−	5.17916i	0.731144	−	0.214683i
$583$	3.45741	+	2.22194i	0.143191	+	0.0920234i
$584$	−3.02765	+	6.62962i	−0.125285	+	0.274336i
$585$	24.1705	+	7.09709i	0.999326	+	0.293429i
$586$	14.8653	+	17.1554i	0.614078	+	0.708684i
$587$	−25.5837	−	29.5252i	−1.05595	−	1.21864i	−0.975067	−	0.221913i	$-0.928770\pi$
$587$	−25.5837	−	29.5252i	−1.05595	−	1.21864i	−0.0808875	−	0.996723i	$-0.525775\pi$
$588$	−0.959493	−	0.281733i	−0.0395688	−	0.0116185i
$589$	2.48285	−	5.43667i	0.102304	−	0.224014i
$590$	−31.8041	−	20.4392i	−1.30935	−	0.841470i
$591$	−0.328474	+	0.0964488i	−0.0135116	+	0.00396737i
$592$	0.617504	−	4.29484i	0.0253793	−	0.176517i
$593$	8.57187	+	18.7698i	0.352005	+	0.770783i	0.999959	+	0.00910305i	$0.00289763\pi$
$593$	8.57187	+	18.7698i	0.352005	+	0.770783i	−0.647954	+	0.761679i	$0.724375\pi$
$594$	−0.0589409	−	0.409943i	−0.00241838	−	0.0168202i
$595$	−3.47999	+	2.23645i	−0.142666	+	0.0916857i
$596$	−6.93080	+	7.99857i	−0.283897	+	0.327634i
$597$	−15.2832			−0.625500
$598$	24.0180	−	16.9655i	0.982168	−	0.693773i
$599$	−15.4580			−0.631595			−0.315797	−	0.948827i	$-0.602272\pi$
$599$	−15.4580			−0.631595			−0.315797	+	0.948827i	$0.602272\pi$
$600$	−7.77924	+	8.97772i	−0.317586	+	0.366514i
$601$	20.0654	−	12.8952i	0.818484	−	0.526008i	−0.0631154	−	0.998006i	$-0.520104\pi$
$601$	20.0654	−	12.8952i	0.818484	−	0.526008i	0.881599	+	0.471999i	$0.156467\pi$
$602$	0.280817	+	1.95313i	0.0114453	+	0.0796035i
$603$	1.36847	+	2.99652i	0.0557282	+	0.122028i
$604$	1.12344	−	7.81372i	0.0457123	−	0.317936i
$605$	−42.6860	+	12.5337i	−1.73543	+	0.509569i
$606$	2.75581	+	1.77105i	0.111947	+	0.0719441i
$607$	7.58053	−	16.5990i	0.307684	−	0.673734i	−0.691114	−	0.722746i	$-0.742880\pi$
$607$	7.58053	−	16.5990i	0.307684	−	0.673734i	0.998798	+	0.0490115i	$0.0156071\pi$
$608$	3.09689	+	0.909329i	0.125595	+	0.0368781i
$609$	0.849014	+	0.979814i	0.0344038	+	0.0397041i
$610$	−30.0794	−	34.7135i	−1.21788	−	1.40551i
$611$	3.95908	+	1.16249i	0.160167	+	0.0470293i
$612$	0.418270	−	0.915884i	0.0169076	−	0.0370224i
$613$	18.1702	+	11.6773i	0.733886	+	0.471640i	0.853442	−	0.521188i	$-0.174511\pi$
$613$	18.1702	+	11.6773i	0.733886	+	0.471640i	−0.119556	+	0.992827i	$0.538147\pi$
$614$	20.3113	−	5.96394i	0.819697	−	0.240685i
$615$	5.20775	−	36.2207i	0.209997	−	1.46056i
$616$	0.172048	+	0.376732i	0.00693200	+	0.0151790i
$617$	2.78691	+	19.3834i	0.112197	+	0.780347i	0.965775	+	0.259382i	$0.0835188\pi$
$617$	2.78691	+	19.3834i	0.112197	+	0.780347i	−0.853578	+	0.520965i	$0.825572\pi$
$618$	15.5713	−	10.0071i	0.626369	−	0.402543i
$619$	27.9059	−	32.2052i	1.12163	−	1.29444i	0.170603	−	0.985340i	$-0.445428\pi$
$619$	27.9059	−	32.2052i	1.12163	−	1.29444i	0.951031	−	0.309095i	$-0.100026\pi$
$620$	7.60781			0.305537
$621$	−0.889663	−	4.71259i	−0.0357010	−	0.189110i
$622$	27.2388			1.09217
$623$	−9.34283	+	10.7822i	−0.374312	+	0.431980i
$624$	5.15815	−	3.31494i	0.206491	−	0.132704i
$625$	−8.07207	−	56.1425i	−0.322883	−	2.24570i
$626$	13.1568	+	28.8095i	0.525853	+	1.15146i
$627$	0.190240	−	1.32315i	0.00759744	−	0.0528413i
$628$	−0.668073	+	0.196164i	−0.0266590	+	0.00782779i
$629$	−3.67529	−	2.36197i	−0.146543	−	0.0941777i
$630$	−1.70670	+	3.73716i	−0.0679967	+	0.148892i
$631$	−43.7470	−	12.8453i	−1.74154	−	0.511363i	−0.752448	−	0.658652i	$-0.771127\pi$
$631$	−43.7470	−	12.8453i	−1.74154	−	0.511363i	−0.989093	+	0.147289i	$0.952945\pi$
$632$	−4.71369	−	5.43989i	−0.187501	−	0.216387i
$633$	8.93700	+	10.3138i	0.355214	+	0.409939i
$634$	−16.0886	−	4.72405i	−0.638962	−	0.187616i
$635$	25.0704	−	54.8964i	0.994887	−	2.17850i
$636$	8.34802	+	5.36495i	0.331021	+	0.212734i
$637$	−5.88314	+	1.72744i	−0.233098	+	0.0684438i
$638$	0.0764157	−	0.531483i	0.00302533	−	0.0210416i
$639$	−4.07726	−	8.92795i	−0.161294	−	0.353184i
$640$	0.584691	+	4.06662i	0.0231119	+	0.160747i
$641$	6.89711	−	4.43250i	0.272420	−	0.175073i	−0.397297	−	0.917690i	$-0.630052\pi$
$641$	6.89711	−	4.43250i	0.272420	−	0.175073i	0.669717	+	0.742617i	$0.266415\pi$
$642$	−3.14150	+	3.62548i	−0.123985	+	0.143086i
$643$	−14.0862			−0.555507			−0.277753	−	0.960652i	$-0.589590\pi$
$643$	−14.0862			−0.555507			−0.277753	+	0.960652i	$0.589590\pi$
$644$	2.18132	+	4.27105i	0.0859559	+	0.168303i
$645$	8.10681			0.319205
$646$	2.12818	−	2.45605i	0.0837320	−	0.0966319i
$647$	1.63504	−	1.05078i	0.0642801	−	0.0413103i	−0.508106	−	0.861295i	$-0.669654\pi$
$647$	1.63504	−	1.05078i	0.0642801	−	0.0413103i	0.572386	+	0.819984i	$0.306018\pi$
$648$	−0.142315	−	0.989821i	−0.00559065	−	0.0388839i
$649$	1.58317	+	3.46667i	0.0621450	+	0.136079i
$650$	−10.3659	+	72.0961i	−0.406582	+	2.82784i
$651$	1.77675	−	0.521700i	0.0696362	−	0.0204470i
$652$	10.2176	+	6.56648i	0.400154	+	0.257163i
$653$	−17.7931	+	38.9615i	−0.696299	+	1.52468i	0.148102	+	0.988972i	$0.452683\pi$
$653$	−17.7931	+	38.9615i	−0.696299	+	1.52468i	−0.844402	+	0.535711i	$0.820044\pi$
$654$	−8.57173	−	2.51689i	−0.335181	−	0.0984181i
$655$	13.3524	+	15.4095i	0.521721	+	0.602098i
$656$	−5.83274	−	6.73134i	−0.227730	−	0.262815i
$657$	6.99302	+	2.05334i	0.272824	+	0.0801083i
$658$	−0.279555	+	0.612140i	−0.0108982	+	0.0238637i
$659$	14.2322	+	9.14645i	0.554406	+	0.356295i	0.787650	−	0.616123i	$-0.211298\pi$
$659$	14.2322	+	9.14645i	0.554406	+	0.356295i	−0.233244	+	0.972418i	$0.574934\pi$
$660$	1.63262	−	0.479380i	0.0635496	−	0.0186598i
$661$	−3.94096	+	27.4100i	−0.153286	+	1.06613i	0.757378	+	0.652977i	$0.226480\pi$
$661$	−3.94096	+	27.4100i	−0.153286	+	1.06613i	−0.910663	+	0.413149i	$0.864429\pi$
$662$	0.576363	+	1.26206i	0.0224010	+	0.0490513i
$663$	−0.878602	−	6.11081i	−0.0341221	−	0.237324i
$664$	8.17789	−	5.25561i	0.317364	−	0.203957i
$665$	−8.68378	+	10.0216i	−0.336743	+	0.388622i
$666$	−4.33900			−0.168133
$667$	0.614615	−	6.18725i	0.0237980	−	0.239571i
$668$	3.47358			0.134397
$669$	2.54852	−	2.94115i	0.0985314	−	0.113711i
$670$	−11.3856	+	7.31706i	−0.439863	+	0.282683i
$671$	0.658963	+	4.58319i	0.0254390	+	0.176932i
$672$	0.415415	+	0.909632i	0.0160250	+	0.0350898i
$673$	−2.62098	+	18.2293i	−0.101031	+	0.702687i	0.874851	+	0.484391i	$0.160959\pi$
$673$	−2.62098	+	18.2293i	−0.101031	+	0.702687i	−0.975883	+	0.218296i	$0.929950\pi$
$674$	4.53517	−	1.33164i	0.174688	−	0.0512930i
$675$	9.99344	+	6.42239i	0.384648	+	0.247198i
$676$	10.2173	−	22.3727i	0.392972	−	0.860489i
$677$	−5.51990	−	1.62079i	−0.212147	−	0.0622920i	0.173932	−	0.984758i	$-0.444353\pi$
$677$	−5.51990	−	1.62079i	−0.212147	−	0.0622920i	−0.386079	+	0.922466i	$0.626171\pi$
$678$	−1.86950	−	2.15751i	−0.0717976	−	0.0828588i
$679$	12.0385	+	13.8931i	0.461994	+	0.533170i
$680$	3.96911	+	1.16544i	0.152208	+	0.0446924i
$681$	1.98743	−	4.35187i	0.0761587	−	0.166764i
$682$	−0.645175	−	0.414629i	−0.0247050	−	0.0158770i
$683$	−18.7254	+	5.49828i	−0.716508	+	0.210386i	−0.619611	−	0.784909i	$-0.712710\pi$
$683$	−18.7254	+	5.49828i	−0.716508	+	0.210386i	−0.0968965	+	0.995294i	$0.530892\pi$
$684$	0.459340	−	3.19478i	0.0175633	−	0.122155i
$685$	30.0318	+	65.7605i	1.14746	+	2.51258i
$686$	−0.142315	−	0.989821i	−0.00543361	−	0.0377916i
$687$	8.94093	−	5.74599i	0.341118	−	0.219223i
$688$	1.29218	−	1.49125i	0.0492639	−	0.0568535i
$689$	60.8449			2.31800
$690$	18.6441	−	6.37333i	0.709769	−	0.242628i
$691$	7.23301			0.275157			0.137578	−	0.990491i	$-0.456068\pi$
$691$	7.23301			0.275157			0.137578	+	0.990491i	$0.456068\pi$
$692$	−16.8282	+	19.4208i	−0.639712	+	0.738268i
$693$	0.348412	−	0.223911i	0.0132351	−	0.00850568i
$694$	−3.14314	−	21.8610i	−0.119312	−	0.829834i
$695$	25.1368	+	55.0420i	0.953495	+	2.08786i
$696$	0.184508	−	1.28328i	0.00699377	−	0.0486427i
$697$	−8.60479	+	2.52659i	−0.325929	+	0.0957015i
$698$	1.60901	+	1.03405i	0.0609020	+	0.0391393i
$699$	9.84690	−	21.5617i	0.372444	−	0.815539i
$700$	−11.3980	−	3.34676i	−0.430805	−	0.126496i
$701$	−7.11864	−	8.21534i	−0.268867	−	0.310289i	0.605220	−	0.796058i	$-0.293085\pi$
$701$	−7.11864	−	8.21534i	−0.268867	−	0.310289i	−0.874087	+	0.485769i	$0.838540\pi$
$702$	−4.01528	−	4.63388i	−0.151547	−	0.174895i
$703$	−13.4374	−	3.94558i	−0.506801	−	0.148810i
$704$	0.172048	−	0.376732i	0.00648429	−	0.0141986i
$705$	2.32588	+	1.49475i	0.0875979	+	0.0562957i
$706$	−7.47918	+	2.19609i	−0.281483	+	0.0826508i
$707$	−0.466201	+	3.24250i	−0.0175333	+	0.121947i
$708$	3.82263	+	8.37039i	0.143663	+	0.314578i
$709$	−3.37058	−	23.4429i	−0.126585	−	0.880417i	−0.949838	−	0.312743i	$-0.898752\pi$
$709$	−3.37058	−	23.4429i	−0.126585	−	0.880417i	0.823253	−	0.567675i	$-0.192157\pi$
$710$	33.9226	−	21.8007i	1.27309	−	0.818167i
$711$	−4.71369	+	5.43989i	−0.176777	+	0.204012i
$712$	14.2669			0.534674
$713$	−7.67394	−	4.46963i	−0.287391	−	0.167389i
$714$	1.00687			0.0376813
$715$	6.83218	−	7.88475i	0.255509	−	0.294873i
$716$	−11.6955	+	7.51627i	−0.437083	+	0.280896i
$717$	0.0296308	+	0.206087i	0.00110658	+	0.00769644i
$718$	13.3245	+	29.1766i	0.497265	+	1.08886i
$719$	6.23505	−	43.3657i	0.232528	−	1.61727i	−0.454575	−	0.890709i	$-0.650209\pi$
$719$	6.23505	−	43.3657i	0.232528	−	1.61727i	0.687103	−	0.726560i	$-0.258882\pi$
$720$	3.94201	−	1.15748i	0.146910	−	0.0431367i
$721$	15.5713	+	10.0071i	0.579905	+	0.372682i
$722$	−3.56526	+	7.80683i	−0.132685	+	0.290540i
$723$	13.7782	+	4.04564i	0.512417	+	0.150459i
$724$	−10.7233	−	12.3753i	−0.398527	−	0.459924i
$725$	10.0856	+	11.6394i	0.374571	+	0.432277i
$726$	10.3898	+	3.05073i	0.385603	+	0.113223i
$727$	−14.7046	+	32.1987i	−0.545365	+	1.19418i	0.413548	+	0.910482i	$0.364290\pi$
$727$	−14.7046	+	32.1987i	−0.545365	+	1.19418i	−0.958913	+	0.283701i	$0.908438\pi$
$728$	5.15815	+	3.31494i	0.191174	+	0.122860i
$729$	−0.959493	+	0.281733i	−0.0355368	+	0.0104345i
$730$	−4.26137	+	29.6385i	−0.157720	+	1.09697i
$731$	−0.825336	−	1.80723i	−0.0305262	−	0.0668430i
$732$	1.59109	+	11.0663i	0.0588084	+	0.409021i
$733$	−23.2021	+	14.9111i	−0.856989	+	0.550754i	−0.893747	−	0.448571i	$-0.851933\pi$
$733$	−23.2021	+	14.9111i	−0.856989	+	0.550754i	0.0367582	+	0.999324i	$0.488297\pi$
$734$	−1.27044	+	1.46617i	−0.0468930	+	0.0541174i
$735$	−4.10843			−0.151542
$736$	1.79939	−	4.44547i	0.0663262	−	0.163862i
$737$	1.36433			0.0502556
$738$	−5.83274	+	6.73134i	−0.214706	+	0.247784i
$739$	−13.6407	+	8.76637i	−0.501783	+	0.322476i	−0.766929	−	0.641732i	$-0.778216\pi$
$739$	−13.6407	+	8.76637i	−0.501783	+	0.322476i	0.265146	+	0.964208i	$0.414580\pi$
$740$	−2.53697	−	17.6450i	−0.0932610	−	0.648645i
$741$	−8.22116	−	18.0018i	−0.302012	−	0.661314i
$742$	−1.41223	+	9.82231i	−0.0518448	+	0.360588i
$743$	8.58407	−	2.52051i	0.314919	−	0.0924685i	−0.120454	−	0.992719i	$-0.538435\pi$
$743$	8.58407	−	2.52051i	0.314919	−	0.0924685i	0.435372	+	0.900250i	$0.356617\pi$
$744$	−1.55780	−	1.00113i	−0.0571116	−	0.0367034i
$745$	−18.0631	+	39.5527i	−0.661782	+	1.44910i
$746$	−1.21852	−	0.357788i	−0.0446130	−	0.0130996i
$747$	−6.36595	−	7.34670i	−0.232918	−	0.268802i
$748$	−0.273080	−	0.315152i	−0.00998481	−	0.0115231i
$749$	−4.60288	−	1.35153i	−0.168186	−	0.0493837i
$750$	−11.7408	+	25.7088i	−0.428713	+	0.938751i
$751$	−10.6688	−	6.85639i	−0.389308	−	0.250193i	0.331315	−	0.943520i	$-0.392508\pi$
$751$	−10.6688	−	6.85639i	−0.389308	−	0.250193i	−0.720623	+	0.693327i	$0.756144\pi$
$752$	0.645694	−	0.189593i	0.0235460	−	0.00691374i
$753$	1.50440	−	10.4633i	0.0548234	−	0.381305i
$754$	−3.30229	−	7.23100i	−0.120262	−	0.263338i
$755$	−4.61559	−	32.1022i	−0.167979	−	1.16832i
$756$	0.841254	−	0.540641i	0.0305961	−	0.0196629i
$757$	−20.7097	+	23.9003i	−0.752708	+	0.868671i	−0.994828	−	0.101575i	$-0.967612\pi$
$757$	−20.7097	+	23.9003i	−0.752708	+	0.868671i	0.242120	+	0.970246i	$0.422157\pi$
$758$	−14.0842			−0.511560
$759$	−1.92845	−	0.475626i	−0.0699982	−	0.0172641i
$760$	13.2605			0.481009
$761$	5.47417	−	6.31753i	0.198439	−	0.229010i	−0.647805	−	0.761806i	$-0.724313\pi$
$761$	5.47417	−	6.31753i	0.198439	−	0.229010i	0.846244	+	0.532796i	$0.178859\pi$
$762$	−12.3575	+	7.94165i	−0.447663	+	0.287696i
$763$	−1.27138	−	8.84267i	−0.0460272	−	0.320126i
$764$	−5.00120	−	10.9511i	−0.180937	−	0.396197i
$765$	0.588710	−	4.09457i	0.0212848	−	0.148039i
$766$	−13.0958	+	3.84528i	−0.473171	+	0.138935i
$767$	47.4650	+	30.5039i	1.71386	+	1.10143i
$768$	0.415415	−	0.909632i	0.0149900	−	0.0328235i
$769$	−8.21838	−	2.41313i	−0.296362	−	0.0870198i	0.130171	−	0.991492i	$-0.458447\pi$
$769$	−8.21838	−	2.41313i	−0.296362	−	0.0870198i	−0.426534	+	0.904472i	$0.640265\pi$
$770$	1.11427	+	1.28594i	0.0401556	+	0.0463421i
$771$	17.8412	+	20.5898i	0.642535	+	0.741525i
$772$	10.6210	+	3.11861i	0.382259	+	0.112241i
$773$	−12.0115	+	26.3015i	−0.432023	+	0.945999i	0.560971	+	0.827835i	$0.310428\pi$
$773$	−12.0115	+	26.3015i	−0.432023	+	0.945999i	−0.992994	+	0.118163i	$0.962299\pi$
$774$	−1.65997	−	1.06680i	−0.0596665	−	0.0383453i
$775$	21.1064	−	6.19739i	0.758163	−	0.222617i
$776$	2.61621	−	18.1961i	0.0939165	−	0.653203i
$777$	−1.80249	−	3.94689i	−0.0646638	−	0.141594i
$778$	−4.09078	−	28.4520i	−0.146661	−	1.02005i
$779$	−24.1843	+	15.5423i	−0.866494	+	0.556862i
$780$	16.4965	−	19.0380i	0.590670	−	0.681670i
$781$	−4.06493			−0.145454
$782$	−3.31891	−	3.50744i	−0.118684	−	0.125426i
$783$	−1.29648			−0.0463324
$784$	−0.654861	+	0.755750i	−0.0233879	+	0.0269911i
$785$	−2.40650	+	1.54656i	−0.0858915	+	0.0551991i
$786$	−0.706292	−	4.91237i	−0.0251926	−	0.175218i
$787$	15.1860	+	33.2527i	0.541322	+	1.18533i	0.960718	+	0.277526i	$0.0895145\pi$
$787$	15.1860	+	33.2527i	0.541322	+	1.18533i	−0.419396	+	0.907803i	$0.637758\pi$
$788$	−0.0487203	+	0.338857i	−0.00173559	+	0.0120713i
$789$	−16.2007	+	4.75696i	−0.576761	+	0.169352i
$790$	−24.8780	−	15.9881i	−0.885119	−	0.568832i
$791$	1.18593	−	2.59682i	0.0421667	−	0.0923322i
$792$	−0.397382	−	0.116682i	−0.0141204	−	0.00414611i
$793$	44.8911	+	51.8071i	1.59413	+	1.83972i
$794$	−16.1993	−	18.6950i	−0.574891	−	0.663460i
$795$	39.1178	+	11.4860i	1.38737	+	0.407368i
$796$	−6.34887	+	13.9021i	−0.225030	+	0.492746i
$797$	−20.0558	−	12.8891i	−0.710413	−	0.456555i	0.134877	−	0.990862i	$-0.456936\pi$
$797$	−20.0558	−	12.8891i	−0.710413	−	0.456555i	−0.845290	+	0.534307i	$0.820572\pi$
$798$	3.09689	−	0.909329i	0.109629	−	0.0321899i
$799$	0.0964295	−	0.670682i	0.00341143	−	0.0237270i
$800$	4.93481	+	10.8057i	0.174472	+	0.382040i
$801$	−2.03039	−	14.1217i	−0.0717403	−	0.498965i
$802$	29.7460	−	19.1166i	1.05037	−	0.675030i
$803$	1.97669	−	2.28122i	0.0697559	−	0.0805026i
$804$	3.29421			0.116178
$805$	13.5424	+	14.3117i	0.477308	+	0.504421i
$806$	−11.3540			−0.399929
$807$	−11.6257	+	13.4167i	−0.409243	+	0.472291i
$808$	2.75581	−	1.77105i	0.0969491	−	0.0623054i
$809$	−0.154962	−	1.07778i	−0.00544817	−	0.0378928i	0.986916	−	0.161235i	$-0.0515478\pi$
$809$	−0.154962	−	1.07778i	−0.00544817	−	0.0378928i	−0.992364	+	0.123342i	$0.960639\pi$
$810$	−1.70670	−	3.73716i	−0.0599675	−	0.131310i
$811$	1.25497	−	8.72848i	0.0440678	−	0.306498i	−0.955852	−	0.293848i	$-0.905064\pi$
$811$	1.25497	−	8.72848i	0.0440678	−	0.306498i	0.999920	−	0.0126504i	$-0.00402684\pi$
$812$	1.24396	−	0.365261i	0.0436545	−	0.0128181i
$813$	25.8573	+	16.6175i	0.906854	+	0.582800i
$814$	−0.746515	+	1.63464i	−0.0261653	+	0.0572941i
$815$	47.8787	+	14.0584i	1.67712	+	0.492446i
$816$	−0.659362	−	0.760944i	−0.0230823	−	0.0266384i
$817$	−4.17068	−	4.81322i	−0.145914	−	0.168393i
$818$	−10.8350	−	3.18143i	−0.378835	−	0.111236i
$819$	2.54712	−	5.57741i	0.0890035	−	0.194891i
$820$	−30.7841	−	19.7837i	−1.07503	−	0.690878i
$821$	47.9475	−	14.0787i	1.67338	−	0.491349i	0.698786	−	0.715331i	$-0.253724\pi$
$821$	47.9475	−	14.0787i	1.67338	−	0.491349i	0.974593	+	0.223982i	$0.0719057\pi$
$822$	2.50422	−	17.4173i	0.0873448	−	0.607497i
$823$	3.15467	+	6.90776i	0.109965	+	0.240789i	0.956612	−	0.291366i	$-0.0941096\pi$
$823$	3.15467	+	6.90776i	0.109965	+	0.240789i	−0.846647	+	0.532155i	$0.821382\pi$
$824$	−2.63419	−	18.3212i	−0.0917665	−	0.638250i
$825$	4.13887	−	2.65989i	0.144097	−	0.0926055i
$826$	−6.02600	+	6.95437i	−0.209671	+	0.241973i
$827$	26.7987			0.931881			0.465941	−	0.884816i	$-0.345716\pi$
$827$	26.7987			0.931881			0.465941	+	0.884816i	$0.345716\pi$
$828$	−4.65630	−	1.14841i	−0.161818	−	0.0399102i
$829$	6.56034			0.227850			0.113925	−	0.993489i	$-0.463658\pi$
$829$	6.56034			0.227850			0.113925	+	0.993489i	$0.463658\pi$
$830$	26.1541	−	30.1834i	0.907821	−	1.04768i
$831$	−6.80163	+	4.37114i	−0.235946	+	0.151633i
$832$	−0.872604	−	6.06909i	−0.0302521	−	0.210408i
$833$	0.418270	+	0.915884i	0.0144922	+	0.0317335i
$834$	2.09605	−	14.5784i	0.0725804	−	0.504808i
$835$	13.6929	−	4.02059i	0.473862	−	0.139138i
$836$	−1.12455	−	0.722702i	−0.0388933	−	0.0249952i
$837$	−0.769247	+	1.68442i	−0.0265891	+	0.0582219i
$838$	16.2254	+	4.76422i	0.560499	+	0.164577i
$839$	13.8268	+	15.9570i	0.477355	+	0.550897i	0.942443	−	0.334367i	$-0.108523\pi$
$839$	13.8268	+	15.9570i	0.477355	+	0.550897i	−0.465087	+	0.885265i	$0.653977\pi$
$840$	2.69045	+	3.10495i	0.0928294	+	0.107131i
$841$	26.2125	+	7.69669i	0.903880	+	0.265403i
$842$	−3.95855	+	8.66802i	−0.136421	+	0.298720i
$843$	3.20715	+	2.06111i	0.110460	+	0.0709885i
$844$	13.0944	−	3.84485i	0.450727	−	0.132345i
$845$	14.3807	−	100.020i	0.494710	−	3.44079i
$846$	−0.279555	−	0.612140i	−0.00961130	−	0.0210458i
$847$	1.54105	+	10.7183i	0.0529512	+	0.368284i
$848$	8.34802	−	5.36495i	0.286672	−	0.184233i
$849$	−9.62567	+	11.1086i	−0.330352	+	0.381247i
$850$	11.9609			0.410255
$851$	−7.80754	+	19.2889i	−0.267639	+	0.661215i
$852$	−9.81490			−0.336253
$853$	21.1905	−	24.4551i	0.725549	−	0.837328i	−0.266414	−	0.963859i	$-0.585839\pi$
$853$	21.1905	−	24.4551i	0.725549	−	0.837328i	0.991963	+	0.126530i	$0.0403841\pi$
$854$	−9.40527	+	6.04440i	−0.321842	+	0.206835i
$855$	−1.88717	−	13.1255i	−0.0645397	−	0.448884i
$856$	1.99283	+	4.36369i	0.0681135	+	0.149148i
$857$	−1.87579	+	13.0464i	−0.0640758	+	0.445657i	0.932376	+	0.361490i	$0.117732\pi$
$857$	−1.87579	+	13.0464i	−0.0640758	+	0.445657i	−0.996452	+	0.0841666i	$0.973177\pi$
$858$	−2.43655	+	0.715436i	−0.0831825	+	0.0244246i
$859$	39.8704	+	25.6231i	1.36036	+	0.874251i	0.998322	−	0.0579125i	$-0.0184444\pi$
$859$	39.8704	+	25.6231i	1.36036	+	0.874251i	0.362039	+	0.932163i	$0.382081\pi$
$860$	3.36769	−	7.37421i	0.114837	−	0.251459i
$861$	−8.54604	−	2.50935i	−0.291248	−	0.0855183i
$862$	21.4441	+	24.7478i	0.730390	+	0.842914i
$863$	−6.05999	−	6.99360i	−0.206284	−	0.238065i	0.643175	−	0.765720i	$-0.277617\pi$
$863$	−6.05999	−	6.99360i	−0.206284	−	0.238065i	−0.849459	+	0.527655i	$0.823071\pi$
$864$	−0.959493	−	0.281733i	−0.0326426	−	0.00958474i
$865$	−43.8578	+	96.0353i	−1.49121	+	3.26530i
$866$	33.3792	+	21.4515i	1.13427	+	0.728952i
$867$	15.3387	−	4.50383i	0.520928	−	0.152958i
$868$	0.263532	−	1.83291i	0.00894487	−	0.0622129i
$869$	1.23840	+	2.71172i	0.0420099	+	0.0919888i
$870$	−0.758040	−	5.27228i	−0.0257000	−	0.178747i
$871$	16.9920	−	10.9201i	0.575753	−	0.370014i
$872$	−5.85027	+	6.75157i	−0.198115	+	0.228637i
$873$	−18.3833			−0.622179
$874$	−13.3758	−	7.79062i	−0.452442	−	0.263522i
$875$	−28.2628			−0.955458
$876$	4.77279	−	5.50809i	0.161258	−	0.186101i
$877$	9.84549	−	6.32731i	0.332458	−	0.213658i	−0.363752	−	0.931496i	$-0.618504\pi$
$877$	9.84549	−	6.32731i	0.332458	−	0.213658i	0.696210	+	0.717838i	$0.254868\pi$
$878$	−4.62039	−	32.1355i	−0.155931	−	1.08452i
$879$	−9.42986	−	20.6485i	−0.318061	−	0.696457i
$880$	0.242155	−	1.68422i	0.00816304	−	0.0567752i
$881$	−40.5353	+	11.9022i	−1.36567	+	0.400996i	−0.880757	−	0.473568i	$-0.842966\pi$
$881$	−40.5353	+	11.9022i	−1.36567	+	0.400996i	−0.484910	+	0.874564i	$0.661148\pi$
$882$	0.841254	+	0.540641i	0.0283265	+	0.0182043i
$883$	15.2669	−	33.4298i	0.513772	−	1.12500i	−0.457973	−	0.888966i	$-0.651424\pi$
$883$	15.2669	−	33.4298i	0.513772	−	1.12500i	0.971744	−	0.236037i	$-0.0758485\pi$
$884$	−5.92357	−	1.73932i	−0.199231	−	0.0584996i
$885$	24.7574	+	28.5716i	0.832211	+	0.960422i
$886$	7.13536	+	8.23464i	0.239717	+	0.276648i
$887$	−5.89284	−	1.73029i	−0.197862	−	0.0580976i	0.181300	−	0.983428i	$-0.441970\pi$
$887$	−5.89284	−	1.73029i	−0.197862	−	0.0580976i	−0.379162	+	0.925330i	$0.623788\pi$
$888$	−1.80249	+	3.94689i	−0.0604875	+	0.132449i
$889$	−12.3575	−	7.94165i	−0.414456	−	0.266354i
$890$	56.2403	−	16.5136i	1.88518	−	0.553538i
$891$	−0.0589409	+	0.409943i	−0.00197460	+	0.0137336i
$892$	−1.61667	−	3.54001i	−0.0541300	−	0.118528i
$893$	−0.309114	−	2.14994i	−0.0103441	−	0.0719449i
$894$	8.90351	−	5.72194i	0.297778	−	0.191370i
$895$	−37.4040	+	43.1666i	−1.25028	+	1.44290i
$896$	1.00000			0.0334077
$897$	−27.8248	+	9.51167i	−0.929044	+	0.317586i
$898$	9.49025			0.316694
$899$	−1.57217	+	1.81438i	−0.0524347	+	0.0605128i
$900$	9.99344	−	6.42239i	0.333115	−	0.214080i
$901$	−1.42194	−	9.88982i	−0.0473718	−	0.329478i
$902$	1.53240	+	3.35549i	0.0510234	+	0.111726i
$903$	0.280817	−	1.95313i	0.00934502	−	0.0649960i
$904$	−2.73916	+	0.804290i	−0.0911031	+	0.0267503i
$905$	−56.5954	−	36.3716i	−1.88129	−	1.20903i
$906$	−3.27932	+	7.18070i	−0.108948	+	0.238563i
$907$	−6.19929	−	1.82028i	−0.205844	−	0.0604413i	0.177185	−	0.984178i	$-0.443301\pi$
$907$	−6.19929	−	1.82028i	−0.205844	−	0.0604413i	−0.383029	+	0.923736i	$0.625119\pi$
$908$	−3.13299	−	3.61567i	−0.103972	−	0.119990i
$909$	−2.14522	−	2.47571i	−0.0711524	−	0.0821143i
$910$	24.1705	+	7.09709i	0.801243	+	0.235266i
$911$	2.31766	−	5.07497i	0.0767875	−	0.168141i	−0.867345	−	0.497708i	$-0.834175\pi$
$911$	2.31766	−	5.07497i	0.0767875	−	0.168141i	0.944132	+	0.329566i	$0.106903\pi$
$912$	−2.71526	−	1.74499i	−0.0899111	−	0.0577824i
$913$	−3.86298	+	1.13427i	−0.127846	+	0.0375390i
$914$	1.31081	−	9.11689i	0.0433578	−	0.301560i
$915$	19.0811	+	41.7817i	0.630801	+	1.38126i
$916$	−1.51254	−	10.5199i	−0.0499756	−	0.347588i
$917$	4.17504	−	2.68314i	0.137872	−	0.0886050i
$918$	−0.659362	+	0.760944i	−0.0217622	+	0.0251149i
$919$	34.8610			1.14996			0.574979	−	0.818168i	$-0.305010\pi$
$919$	34.8610			1.14996			0.574979	+	0.818168i	$0.305010\pi$
$920$	1.94766	−	19.6069i	0.0642125	−	0.646419i
$921$	−21.1688			−0.697535
$922$	−18.9108	+	21.8242i	−0.622793	+	0.718741i
$923$	−50.6267	+	32.5358i	−1.66640	+	1.07093i
$924$	−0.0589409	−	0.409943i	−0.00193901	−	0.0134861i
$925$	−21.4121	−	46.8860i	−0.704027	−	1.54160i
$926$	1.77727	−	12.3612i	0.0584048	−	0.406214i
$927$	−17.7599	+	5.21476i	−0.583310	+	0.171275i
$928$	−1.09067	−	0.700930i	−0.0358029	−	0.0230091i
$929$	5.71577	−	12.5158i	0.187528	−	0.410630i	−0.792394	−	0.610010i	$-0.791165\pi$
$929$	5.71577	−	12.5158i	0.187528	−	0.410630i	0.979922	+	0.199380i	$0.0638927\pi$
$930$	−7.29964	−	2.14337i	−0.239365	−	0.0702838i
$931$	2.11365	+	2.43928i	0.0692720	+	0.0799442i
$932$	−15.5227	−	17.9141i	−0.508462	−	0.586796i
$933$	−26.1354	−	7.67405i	−0.855635	−	0.251237i
$934$	7.32806	−	16.0462i	0.239781	−	0.525048i
$935$	−1.44127	−	0.926247i	−0.0471345	−	0.0302915i
$936$	−5.88314	+	1.72744i	−0.192296	+	0.0564633i
$937$	−2.78145	+	19.3454i	−0.0908661	+	0.631988i	0.892594	+	0.450862i	$0.148883\pi$
$937$	−2.78145	+	19.3454i	−0.0908661	+	0.631988i	−0.983460	+	0.181126i	$0.942026\pi$
$938$	1.36847	+	2.99652i	0.0446820	+	0.0978399i
$939$	−4.50733	−	31.3492i	−0.147091	−	1.02304i
$940$	2.32588	−	1.49475i	0.0758620	−	0.0487535i
$941$	23.5946	−	27.2297i	0.769163	−	0.887661i	−0.227114	−	0.973868i	$-0.572929\pi$
$941$	23.5946	−	27.2297i	0.769163	−	0.887661i	0.996277	+	0.0862066i	$0.0274745\pi$
$942$	0.696277			0.0226859
$943$	19.4286	+	38.0415i	0.632683	+	1.23880i
$944$	9.20195			0.299498
$945$	2.69045	−	3.10495i	0.0875204	−	0.101004i
$946$	−0.687492	+	0.441824i	−0.0223523	+	0.0143649i
$947$	4.12568	+	28.6947i	0.134067	+	0.932453i	0.940177	+	0.340688i	$0.110660\pi$
$947$	4.12568	+	28.6947i	0.134067	+	0.932453i	−0.806110	+	0.591766i	$0.798431\pi$
$948$	2.99016	+	6.54754i	0.0971159	+	0.212654i
$949$	6.35975	−	44.2331i	0.206446	−	1.43587i
$950$	36.7886	−	10.8021i	1.19358	−	0.350467i
$951$	14.1060	+	9.06539i	0.457419	+	0.293965i
$952$	0.418270	−	0.915884i	0.0135562	−	0.0296840i
$953$	−2.49820	−	0.733538i	−0.0809246	−	0.0237616i	0.241020	−	0.970520i	$-0.422518\pi$
$953$	−2.49820	−	0.733538i	−0.0809246	−	0.0237616i	−0.321944	+	0.946759i	$0.604336\pi$
$954$	−6.49839	−	7.49954i	−0.210393	−	0.242807i
$955$	−32.3905	−	37.3806i	−1.04813	−	1.20961i
$956$	0.199772	+	0.0586583i	0.00646109	+	0.00189715i
$957$	−0.223056	+	0.488425i	−0.00721039	+	0.0157885i
$958$	−29.8155	−	19.1613i	−0.963295	−	0.619072i
$959$	16.8836	−	4.95747i	0.545199	−	0.160085i
$960$	0.584691	−	4.06662i	0.0188708	−	0.131249i
$961$	−11.4534	−	25.0795i	−0.369465	−	0.809015i
$962$	3.78623	+	26.3338i	0.122073	+	0.849036i
$963$	4.03566	−	2.59356i	0.130047	−	0.0835763i
$964$	9.40372	−	10.8525i	0.302873	−	0.349535i
$965$	45.4779			1.46399
$966$	−0.889663	−	4.71259i	−0.0286244	−	0.151625i
$967$	−41.9435			−1.34881			−0.674407	−	0.738360i	$-0.735600\pi$
$967$	−41.9435			−1.34881			−0.674407	+	0.738360i	$0.735600\pi$
$968$	7.09114	−	8.18361i	0.227918	−	0.263031i
$969$	−2.73392	+	1.75698i	−0.0878261	+	0.0564424i
$970$	−10.7485	−	74.7576i	−0.345114	−	2.40032i
$971$	9.24927	+	20.2531i	0.296823	+	0.649952i	0.998012	−	0.0630236i	$-0.0200744\pi$
$971$	9.24927	+	20.2531i	0.296823	+	0.649952i	−0.701189	+	0.712975i	$0.747347\pi$
$972$	−0.142315	+	0.989821i	−0.00456475	+	0.0317485i
$973$	14.1317	−	4.14944i	0.453041	−	0.133025i
$974$	36.8441	+	23.6783i	1.18056	+	0.758701i
$975$	30.2578	−	66.2553i	0.969025	−	2.12187i
$976$	10.7272	+	3.14979i	0.343369	+	0.100822i
$977$	−13.4555	−	15.5285i	−0.430480	−	0.496800i	0.498521	−	0.866878i	$-0.333877\pi$
$977$	−13.4555	−	15.5285i	−0.430480	−	0.496800i	−0.929001	+	0.370077i	$0.879331\pi$
$978$	−7.95377	−	9.17914i	−0.254333	−	0.293516i
$979$	−5.66941	−	1.66469i	−0.181195	−	0.0532037i
$980$	−1.70670	+	3.73716i	−0.0545187	+	0.119379i
$981$	7.51543	+	4.82987i	0.239949	+	0.154206i
$982$	10.6658	−	3.13177i	0.340360	−	0.0999387i
$983$	−2.50218	+	17.4030i	−0.0798070	+	0.555070i	0.910213	+	0.414141i	$0.135918\pi$
$983$	−2.50218	+	17.4030i	−0.0798070	+	0.555070i	−0.990020	+	0.140929i	$0.954991\pi$
$984$	3.70003	+	8.10194i	0.117953	+	0.258280i
$985$	0.200164	+	1.39217i	0.00637776	+	0.0443583i
$986$	−1.09816	+	0.705748i	−0.0349727	+	0.0224756i
$987$	0.440691	−	0.508584i	0.0140273	−	0.0161884i
$988$	−19.7902			−0.629611
$989$	−7.72935	+	5.45977i	−0.245779	+	0.173611i
$990$	−1.70154			−0.0540786
$991$	−23.0458	+	26.5962i	−0.732072	+	0.844857i	−0.992703	−	0.120582i	$-0.961524\pi$
$991$	−23.0458	+	26.5962i	−0.732072	+	0.844857i	0.260631	+	0.965439i	$0.416069\pi$
$992$	−1.55780	+	1.00113i	−0.0494601	+	0.0317861i
$993$	−0.197453	−	1.37332i	−0.00626599	−	0.0435809i
$994$	−4.07726	−	8.92795i	−0.129323	−	0.283177i
$995$	−8.93595	+	62.1509i	−0.283289	+	1.97032i
$996$	−9.32730	+	2.73874i	−0.295547	+	0.0867804i
$997$	−36.8551	−	23.6853i	−1.16721	−	0.750122i	−0.194220	−	0.980958i	$-0.562218\pi$
$997$	−36.8551	−	23.6853i	−1.16721	−	0.750122i	−0.972993	+	0.230836i	$0.925854\pi$
$998$	−0.397971	+	0.871435i	−0.0125976	+	0.0275848i
$999$	4.16324	+	1.22244i	0.131719	+	0.0386762i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.q.i.85.1	✓	40
23.13	even	11	inner	966.2.q.i.841.1	yes	40

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.q.i.85.1	✓	40	1.1	even	1	trivial
966.2.q.i.841.1	yes	40	23.13	even	11	inner

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:	\( N \)	\(=\)	\( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	966.q (of order \(11\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.654861 + 0.755750i) q^{2} +(0.841254 - 0.540641i) q^{3} +(-0.142315 - 0.989821i) q^{4} +(-1.70670 - 3.73716i) q^{5} +(-0.142315 + 0.989821i) q^{6} +(-0.959493 + 0.281733i) q^{7} +(0.841254 + 0.540641i) q^{8} +(0.415415 - 0.909632i) q^{9} +O(q^{10})\)	\(q+(-0.654861 + 0.755750i) q^{2} +(0.841254 - 0.540641i) q^{3} +(-0.142315 - 0.989821i) q^{4} +(-1.70670 - 3.73716i) q^{5} +(-0.142315 + 0.989821i) q^{6} +(-0.959493 + 0.281733i) q^{7} +(0.841254 + 0.540641i) q^{8} +(0.415415 - 0.909632i) q^{9} +(3.94201 + 1.15748i) q^{10} +(-0.271216 - 0.313000i) q^{11} +(-0.654861 - 0.755750i) q^{12} +(-5.88314 - 1.72744i) q^{13} +(0.415415 - 0.909632i) q^{14} +(-3.45623 - 2.22119i) q^{15} +(-0.959493 + 0.281733i) q^{16} +(-0.143293 + 0.996625i) q^{17} +(0.415415 + 0.909632i) q^{18} +(0.459340 + 3.19478i) q^{19} +(-3.45623 + 2.22119i) q^{20} +(-0.654861 + 0.755750i) q^{21} +0.414159 q^{22} +(4.79123 - 0.209936i) q^{23} +1.00000 q^{24} +(-7.77924 + 8.97772i) q^{25} +(5.15815 - 3.31494i) q^{26} +(-0.142315 - 0.989821i) q^{27} +(0.415415 + 0.909632i) q^{28} +(0.184508 - 1.28328i) q^{29} +(3.94201 - 1.15748i) q^{30} +(-1.55780 - 1.00113i) q^{31} +(0.415415 - 0.909632i) q^{32} +(-0.397382 - 0.116682i) q^{33} +(-0.659362 - 0.760944i) q^{34} +(2.69045 + 3.10495i) q^{35} +(-0.959493 - 0.281733i) q^{36} +(-1.80249 + 3.94689i) q^{37} +(-2.71526 - 1.74499i) q^{38} +(-5.88314 + 1.72744i) q^{39} +(0.584691 - 4.06662i) q^{40} +(3.70003 + 8.10194i) q^{41} +(-0.142315 - 0.989821i) q^{42} +(-1.65997 + 1.06680i) q^{43} +(-0.271216 + 0.313000i) q^{44} -4.10843 q^{45} +(-2.97893 + 3.75845i) q^{46} -0.672953 q^{47} +(-0.654861 + 0.755750i) q^{48} +(0.841254 - 0.540641i) q^{49} +(-1.69059 - 11.7583i) q^{50} +(0.418270 + 0.915884i) q^{51} +(-0.872604 + 6.06909i) q^{52} +(-9.52135 + 2.79572i) q^{53} +(0.841254 + 0.540641i) q^{54} +(-0.706847 + 1.54778i) q^{55} +(-0.959493 - 0.281733i) q^{56} +(2.11365 + 2.43928i) q^{57} +(0.849014 + 0.979814i) q^{58} +(-8.82921 - 2.59249i) q^{59} +(-1.70670 + 3.73716i) q^{60} +(-9.40527 - 6.04440i) q^{61} +(1.77675 - 0.521700i) q^{62} +(-0.142315 + 0.989821i) q^{63} +(0.415415 + 0.909632i) q^{64} +(3.58504 + 24.9345i) q^{65} +(0.348412 - 0.223911i) q^{66} +(-2.15725 + 2.48960i) q^{67} +1.00687 q^{68} +(3.91714 - 2.76695i) q^{69} -4.10843 q^{70} +(6.42739 - 7.41761i) q^{71} +(0.841254 - 0.540641i) q^{72} +(1.03723 + 7.21406i) q^{73} +(-1.80249 - 3.94689i) q^{74} +(-1.69059 + 11.7583i) q^{75} +(3.09689 - 0.909329i) q^{76} +(0.348412 + 0.223911i) q^{77} +(2.54712 - 5.57741i) q^{78} +(-6.90644 - 2.02791i) q^{79} +(2.69045 + 3.10495i) q^{80} +(-0.654861 - 0.755750i) q^{81} +(-8.54604 - 2.50935i) q^{82} +(4.03828 - 8.84260i) q^{83} +(0.841254 + 0.540641i) q^{84} +(3.96911 - 1.16544i) q^{85} +(0.280817 - 1.95313i) q^{86} +(-0.538577 - 1.17932i) q^{87} +(-0.0589409 - 0.409943i) q^{88} +(12.0021 - 7.71326i) q^{89} +(2.69045 - 3.10495i) q^{90} +6.13150 q^{91} +(-0.889663 - 4.71259i) q^{92} -1.85176 q^{93} +(0.440691 - 0.508584i) q^{94} +(11.1554 - 7.16917i) q^{95} +(-0.142315 - 0.989821i) q^{96} +(-7.63668 - 16.7220i) q^{97} +(-0.142315 + 0.989821i) q^{98} +(-0.397382 + 0.116682i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 40 q - 4 q^{2} - 4 q^{3} - 4 q^{4} + 4 q^{5} - 4 q^{6} - 4 q^{7} - 4 q^{8} - 4 q^{9}+O(q^{10}) \) 40 * q - 4 * q^2 - 4 * q^3 - 4 * q^4 + 4 * q^5 - 4 * q^6 - 4 * q^7 - 4 * q^8 - 4 * q^9	\( 40 q - 4 q^{2} - 4 q^{3} - 4 q^{4} + 4 q^{5} - 4 q^{6} - 4 q^{7} - 4 q^{8} - 4 q^{9} + 4 q^{10} - q^{11} - 4 q^{12} - 8 q^{13} - 4 q^{14} - 7 q^{15} - 4 q^{16} - 7 q^{17} - 4 q^{18} + 20 q^{19} - 7 q^{20} - 4 q^{21} + 10 q^{22} + 2 q^{23} + 40 q^{24} - 22 q^{25} + 14 q^{26} - 4 q^{27} - 4 q^{28} + 15 q^{29} + 4 q^{30} - 16 q^{31} - 4 q^{32} - q^{33} - 7 q^{34} - 7 q^{35} - 4 q^{36} - 16 q^{37} - 13 q^{38} - 8 q^{39} + 4 q^{40} - 17 q^{41} - 4 q^{42} + 26 q^{43} - q^{44} + 4 q^{45} - 20 q^{46} + 72 q^{47} - 4 q^{48} - 4 q^{49} + 11 q^{50} - 7 q^{51} - 19 q^{52} + 6 q^{53} - 4 q^{54} + 49 q^{55} - 4 q^{56} + 9 q^{57} - 7 q^{58} - 51 q^{59} + 4 q^{60} - 42 q^{61} - 16 q^{62} - 4 q^{63} - 4 q^{64} + 8 q^{65} - 12 q^{66} + 54 q^{67} + 4 q^{68} + 2 q^{69} + 4 q^{70} - 59 q^{71} - 4 q^{72} - 27 q^{73} - 16 q^{74} + 11 q^{75} - 2 q^{76} - 12 q^{77} - 8 q^{78} - 6 q^{79} - 7 q^{80} - 4 q^{81} - 6 q^{82} - 24 q^{83} - 4 q^{84} + 35 q^{85} - 7 q^{86} - 29 q^{87} - q^{88} + 22 q^{89} - 7 q^{90} + 36 q^{91} - 9 q^{92} + 50 q^{93} - 16 q^{94} + 22 q^{95} - 4 q^{96} + 16 q^{97} - 4 q^{98} - q^{99}+O(q^{100}) \) 40 * q - 4 * q^2 - 4 * q^3 - 4 * q^4 + 4 * q^5 - 4 * q^6 - 4 * q^7 - 4 * q^8 - 4 * q^9 + 4 * q^10 - q^11 - 4 * q^12 - 8 * q^13 - 4 * q^14 - 7 * q^15 - 4 * q^16 - 7 * q^17 - 4 * q^18 + 20 * q^19 - 7 * q^20 - 4 * q^21 + 10 * q^22 + 2 * q^23 + 40 * q^24 - 22 * q^25 + 14 * q^26 - 4 * q^27 - 4 * q^28 + 15 * q^29 + 4 * q^30 - 16 * q^31 - 4 * q^32 - q^33 - 7 * q^34 - 7 * q^35 - 4 * q^36 - 16 * q^37 - 13 * q^38 - 8 * q^39 + 4 * q^40 - 17 * q^41 - 4 * q^42 + 26 * q^43 - q^44 + 4 * q^45 - 20 * q^46 + 72 * q^47 - 4 * q^48 - 4 * q^49 + 11 * q^50 - 7 * q^51 - 19 * q^52 + 6 * q^53 - 4 * q^54 + 49 * q^55 - 4 * q^56 + 9 * q^57 - 7 * q^58 - 51 * q^59 + 4 * q^60 - 42 * q^61 - 16 * q^62 - 4 * q^63 - 4 * q^64 + 8 * q^65 - 12 * q^66 + 54 * q^67 + 4 * q^68 + 2 * q^69 + 4 * q^70 - 59 * q^71 - 4 * q^72 - 27 * q^73 - 16 * q^74 + 11 * q^75 - 2 * q^76 - 12 * q^77 - 8 * q^78 - 6 * q^79 - 7 * q^80 - 4 * q^81 - 6 * q^82 - 24 * q^83 - 4 * q^84 + 35 * q^85 - 7 * q^86 - 29 * q^87 - q^88 + 22 * q^89 - 7 * q^90 + 36 * q^91 - 9 * q^92 + 50 * q^93 - 16 * q^94 + 22 * q^95 - 4 * q^96 + 16 * q^97 - 4 * q^98 - q^99

Introduction

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