LMFDB - Embedded newform 966.2.q.i.85.3

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			85.3
Character	$\chi$	$=$	966.85
Dual form			966.2.q.i.841.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.654861 + 0.755750i) q^{2} +(0.841254 - 0.540641i) q^{3} +(-0.142315 - 0.989821i) q^{4} +(0.431857 + 0.945634i) q^{5} +(-0.142315 + 0.989821i) q^{6} +(-0.959493 + 0.281733i) q^{7} +(0.841254 + 0.540641i) q^{8} +(0.415415 - 0.909632i) q^{9} +O(q^{10})$	\(q+(-0.654861 + 0.755750i) q^{2} +(0.841254 - 0.540641i) q^{3} +(-0.142315 - 0.989821i) q^{4} +(0.431857 + 0.945634i) 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} +(-0.997469 - 0.292883i) q^{10} +(-3.63195 - 4.19150i) q^{11} +(-0.654861 - 0.755750i) q^{12} +(-0.875353 - 0.257027i) q^{13} +(0.415415 - 0.909632i) q^{14} +(0.874549 + 0.562039i) q^{15} +(-0.959493 + 0.281733i) q^{16} +(-0.279904 + 1.94677i) q^{17} +(0.415415 + 0.909632i) q^{18} +(-1.01288 - 7.04474i) q^{19} +(0.874549 - 0.562039i) q^{20} +(-0.654861 + 0.755750i) q^{21} +5.54615 q^{22} +(-1.42129 - 4.58039i) q^{23} +1.00000 q^{24} +(2.56658 - 2.96199i) q^{25} +(0.767483 - 0.493231i) q^{26} +(-0.142315 - 0.989821i) q^{27} +(0.415415 + 0.909632i) q^{28} +(-0.423282 + 2.94399i) q^{29} +(-0.997469 + 0.292883i) q^{30} +(-1.58370 - 1.01778i) q^{31} +(0.415415 - 0.909632i) q^{32} +(-5.32149 - 1.56253i) q^{33} +(-1.28797 - 1.48640i) q^{34} +(-0.680779 - 0.785661i) q^{35} +(-0.959493 - 0.281733i) q^{36} +(-0.186195 + 0.407710i) q^{37} +(5.98735 + 3.84784i) q^{38} +(-0.875353 + 0.257027i) q^{39} +(-0.147947 + 1.02900i) q^{40} +(0.895644 + 1.96119i) q^{41} +(-0.142315 - 0.989821i) q^{42} +(5.41284 - 3.47862i) q^{43} +(-3.63195 + 4.19150i) q^{44} +1.03958 q^{45} +(4.39237 + 1.92537i) q^{46} -3.00749 q^{47} +(-0.654861 + 0.755750i) q^{48} +(0.841254 - 0.540641i) q^{49} +(0.557771 + 3.87938i) q^{50} +(0.817035 + 1.78906i) q^{51} +(-0.129835 + 0.903022i) q^{52} +(1.83341 - 0.538337i) q^{53} +(0.841254 + 0.540641i) q^{54} +(2.39514 - 5.24463i) q^{55} +(-0.959493 - 0.281733i) q^{56} +(-4.66076 - 5.37881i) q^{57} +(-1.94773 - 2.24780i) q^{58} +(-1.19541 - 0.351005i) q^{59} +(0.431857 - 0.945634i) q^{60} +(-6.28831 - 4.04125i) q^{61} +(1.80629 - 0.530374i) q^{62} +(-0.142315 + 0.989821i) q^{63} +(0.415415 + 0.909632i) q^{64} +(-0.134974 - 0.938763i) q^{65} +(4.66572 - 2.99847i) q^{66} +(8.03155 - 9.26890i) q^{67} +1.96679 q^{68} +(-3.67201 - 3.08486i) q^{69} +1.03958 q^{70} +(-6.83210 + 7.88467i) q^{71} +(0.841254 - 0.540641i) q^{72} +(-1.06775 - 7.42639i) q^{73} +(-0.186195 - 0.407710i) q^{74} +(0.557771 - 3.87938i) q^{75} +(-6.82888 + 2.00514i) q^{76} +(4.66572 + 2.99847i) q^{77} +(0.378987 - 0.829865i) q^{78} +(-4.78547 - 1.40514i) q^{79} +(-0.680779 - 0.785661i) q^{80} +(-0.654861 - 0.755750i) q^{81} +(-2.06869 - 0.607422i) q^{82} +(-0.503083 + 1.10160i) q^{83} +(0.841254 + 0.540641i) q^{84} +(-1.96181 + 0.576040i) q^{85} +(-0.915690 + 6.36876i) q^{86} +(1.23556 + 2.70549i) q^{87} +(-0.789299 - 5.48970i) q^{88} +(-2.68933 + 1.72833i) q^{89} +(-0.680779 + 0.785661i) q^{90} +0.912308 q^{91} +(-4.33149 + 2.05868i) q^{92} -1.88255 q^{93} +(1.96949 - 2.27291i) q^{94} +(6.22432 - 4.00013i) q^{95} +(-0.142315 - 0.989821i) q^{96} +(0.784460 + 1.71773i) q^{97} +(-0.142315 + 0.989821i) q^{98} +(-5.32149 + 1.56253i) 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
$5$	0.431857	+	0.945634i	0.193132	+	0.422900i	0.981280	−	0.192585i	$-0.0616872\pi$
$5$	0.431857	+	0.945634i	0.193132	+	0.422900i	−0.788148	+	0.615486i	$0.788960\pi$
$6$	−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
$10$	−0.997469	−	0.292883i	−0.315427	−	0.0926178i
$11$	−3.63195	−	4.19150i	−1.09508	−	1.26378i	−0.962109	−	0.272664i	$-0.912095\pi$
$11$	−3.63195	−	4.19150i	−1.09508	−	1.26378i	−0.132966	−	0.991121i	$-0.542450\pi$
$12$	−0.654861	−	0.755750i	−0.189042	−	0.218166i
$13$	−0.875353	−	0.257027i	−0.242779	−	0.0712865i	0.158079	−	0.987426i	$-0.449470\pi$
$13$	−0.875353	−	0.257027i	−0.242779	−	0.0712865i	−0.400858	+	0.916140i	$0.631288\pi$
$14$	0.415415	−	0.909632i	0.111024	−	0.243109i
$15$	0.874549	+	0.562039i	0.225808	+	0.145118i
$16$	−0.959493	+	0.281733i	−0.239873	+	0.0704331i
$17$	−0.279904	+	1.94677i	−0.0678866	+	0.472162i	0.927312	+	0.374288i	$0.122113\pi$
$17$	−0.279904	+	1.94677i	−0.0678866	+	0.472162i	−0.995199	+	0.0978731i	$0.968796\pi$
$18$	0.415415	+	0.909632i	0.0979143	+	0.214402i
$19$	−1.01288	−	7.04474i	−0.232371	−	1.61617i	−0.687799	−	0.725901i	$-0.741423\pi$
$19$	−1.01288	−	7.04474i	−0.232371	−	1.61617i	0.455428	−	0.890272i	$-0.349486\pi$
$20$	0.874549	−	0.562039i	0.195555	−	0.125676i
$21$	−0.654861	+	0.755750i	−0.142902	+	0.164918i
$22$	5.54615			1.18244
$23$	−1.42129	−	4.58039i	−0.296360	−	0.955076i
$23$	−1.42129	−	4.58039i	−0.296360	−	0.955076i
$24$	1.00000			0.204124
$25$	2.56658	−	2.96199i	0.513316	−	0.592398i
$26$	0.767483	−	0.493231i	0.150516	−	0.0967306i
$27$	−0.142315	−	0.989821i	−0.0273885	−	0.190491i
$28$	0.415415	+	0.909632i	0.0785061	+	0.171904i
$29$	−0.423282	+	2.94399i	−0.0786016	+	0.546686i	0.912030	+	0.410124i	$0.134514\pi$
$29$	−0.423282	+	2.94399i	−0.0786016	+	0.546686i	−0.990631	+	0.136562i	$0.956395\pi$
$30$	−0.997469	+	0.292883i	−0.182112	+	0.0534729i
$31$	−1.58370	−	1.01778i	−0.284441	−	0.182799i	0.390639	−	0.920544i	$-0.372254\pi$
$31$	−1.58370	−	1.01778i	−0.284441	−	0.182799i	−0.675079	+	0.737745i	$0.735891\pi$
$32$	0.415415	−	0.909632i	0.0734357	−	0.160802i
$33$	−5.32149	−	1.56253i	−0.926352	−	0.272002i
$34$	−1.28797	−	1.48640i	−0.220886	−	0.254916i
$35$	−0.680779	−	0.785661i	−0.115073	−	0.132801i
$36$	−0.959493	−	0.281733i	−0.159915	−	0.0469554i
$37$	−0.186195	+	0.407710i	−0.0306102	+	0.0670270i	−0.924320	−	0.381619i	$-0.875366\pi$
$37$	−0.186195	+	0.407710i	−0.0306102	+	0.0670270i	0.893709	+	0.448646i	$0.148094\pi$
$38$	5.98735	+	3.84784i	0.971277	+	0.624202i
$39$	−0.875353	+	0.257027i	−0.140169	+	0.0411573i
$40$	−0.147947	+	1.02900i	−0.0233926	+	0.162699i
$41$	0.895644	+	1.96119i	0.139876	+	0.306286i	0.966586	−	0.256342i	$-0.0825175\pi$
$41$	0.895644	+	1.96119i	0.139876	+	0.306286i	−0.826710	+	0.562628i	$0.809790\pi$
$42$	−0.142315	−	0.989821i	−0.0219597	−	0.152733i
$43$	5.41284	−	3.47862i	0.825450	−	0.530485i	−0.0583787	−	0.998295i	$-0.518593\pi$
$43$	5.41284	−	3.47862i	0.825450	−	0.530485i	0.883829	+	0.467810i	$0.154957\pi$
$44$	−3.63195	+	4.19150i	−0.547538	+	0.631892i
$45$	1.03958			0.154971
$46$	4.39237	+	1.92537i	0.647620	+	0.283881i
$47$	−3.00749			−0.438687			−0.219344	−	0.975648i	$-0.570392\pi$
$47$	−3.00749			−0.438687			−0.219344	+	0.975648i	$0.570392\pi$
$48$	−0.654861	+	0.755750i	−0.0945210	+	0.109083i
$49$	0.841254	−	0.540641i	0.120179	−	0.0772344i
$50$	0.557771	+	3.87938i	0.0788807	+	0.548628i
$51$	0.817035	+	1.78906i	0.114408	+	0.250518i
$52$	−0.129835	+	0.903022i	−0.0180049	+	0.125227i
$53$	1.83341	−	0.538337i	0.251838	−	0.0739463i	−0.153377	−	0.988168i	$-0.549015\pi$
$53$	1.83341	−	0.538337i	0.251838	−	0.0739463i	0.405215	+	0.914221i	$0.367197\pi$
$54$	0.841254	+	0.540641i	0.114480	+	0.0735719i
$55$	2.39514	−	5.24463i	0.322961	−	0.707185i
$56$	−0.959493	−	0.281733i	−0.128218	−	0.0376481i
$57$	−4.66076	−	5.37881i	−0.617333	−	0.712440i
$58$	−1.94773	−	2.24780i	−0.255750	−	0.295151i
$59$	−1.19541	−	0.351005i	−0.155630	−	0.0456970i	0.202990	−	0.979181i	$-0.434934\pi$
$59$	−1.19541	−	0.351005i	−0.155630	−	0.0456970i	−0.358619	+	0.933484i	$0.616752\pi$
$60$	0.431857	−	0.945634i	0.0557525	−	0.122081i
$61$	−6.28831	−	4.04125i	−0.805136	−	0.517430i	0.0721521	−	0.997394i	$-0.477013\pi$
$61$	−6.28831	−	4.04125i	−0.805136	−	0.517430i	−0.877288	+	0.479964i	$0.840650\pi$
$62$	1.80629	−	0.530374i	0.229399	−	0.0673576i
$63$	−0.142315	+	0.989821i	−0.0179300	+	0.124706i
$64$	0.415415	+	0.909632i	0.0519269	+	0.113704i
$65$	−0.134974	−	0.938763i	−0.0167414	−	0.116439i
$66$	4.66572	−	2.99847i	0.574310	−	0.369087i
$67$	8.03155	−	9.26890i	0.981210	−	1.13238i	−0.00998317	−	0.999950i	$-0.503178\pi$
$67$	8.03155	−	9.26890i	0.981210	−	1.13238i	0.991193	−	0.132426i	$-0.0422768\pi$
$68$	1.96679			0.238508
$69$	−3.67201	−	3.08486i	−0.442058	−	0.371373i
$70$	1.03958			0.124253
$71$	−6.83210	+	7.88467i	−0.810821	+	0.935738i	−0.998922	−	0.0464119i	$-0.985221\pi$
$71$	−6.83210	+	7.88467i	−0.810821	+	0.935738i	0.188101	+	0.982150i	$0.439767\pi$
$72$	0.841254	−	0.540641i	0.0991427	−	0.0637151i
$73$	−1.06775	−	7.42639i	−0.124971	−	0.869193i	−0.951796	−	0.306733i	$-0.900764\pi$
$73$	−1.06775	−	7.42639i	−0.124971	−	0.869193i	0.826824	−	0.562460i	$-0.190145\pi$
$74$	−0.186195	−	0.407710i	−0.0216447	−	0.0473953i
$75$	0.557771	−	3.87938i	0.0644059	−	0.447953i
$76$	−6.82888	+	2.00514i	−0.783327	+	0.230005i
$77$	4.66572	+	2.99847i	0.531708	+	0.341708i
$78$	0.378987	−	0.829865i	0.0429118	−	0.0939637i
$79$	−4.78547	−	1.40514i	−0.538407	−	0.158091i	0.00121290	−	0.999999i	$-0.499614\pi$
$79$	−4.78547	−	1.40514i	−0.538407	−	0.158091i	−0.539620	+	0.841909i	$0.681432\pi$
$80$	−0.680779	−	0.785661i	−0.0761134	−	0.0878396i
$81$	−0.654861	−	0.755750i	−0.0727623	−	0.0839722i
$82$	−2.06869	−	0.607422i	−0.228448	−	0.0670785i
$83$	−0.503083	+	1.10160i	−0.0552206	+	0.120916i	−0.935231	−	0.354038i	$-0.884808\pi$
$83$	−0.503083	+	1.10160i	−0.0552206	+	0.120916i	0.880010	+	0.474955i	$0.157535\pi$
$84$	0.841254	+	0.540641i	0.0917883	+	0.0589887i
$85$	−1.96181	+	0.576040i	−0.212788	+	0.0624803i
$86$	−0.915690	+	6.36876i	−0.0987414	+	0.686762i
$87$	1.23556	+	2.70549i	0.132465	+	0.290059i
$88$	−0.789299	−	5.48970i	−0.0841396	−	0.585204i
$89$	−2.68933	+	1.72833i	−0.285069	+	0.183203i	−0.675359	−	0.737489i	$-0.736011\pi$
$89$	−2.68933	+	1.72833i	−0.285069	+	0.183203i	0.390290	+	0.920692i	$0.372375\pi$
$90$	−0.680779	+	0.785661i	−0.0717604	+	0.0828160i
$91$	0.912308			0.0956359
$92$	−4.33149	+	2.05868i	−0.451589	+	0.214632i
$93$	−1.88255			−0.195211
$94$	1.96949	−	2.27291i	0.203137	−	0.234433i
$95$	6.22432	−	4.00013i	0.638602	−	0.410405i
$96$	−0.142315	−	0.989821i	−0.0145249	−	0.101023i
$97$	0.784460	+	1.71773i	0.0796499	+	0.174409i	0.945267	−	0.326297i	$-0.105801\pi$
$97$	0.784460	+	1.71773i	0.0796499	+	0.174409i	−0.865617	+	0.500706i	$0.833074\pi$
$98$	−0.142315	+	0.989821i	−0.0143760	+	0.0999871i
$99$	−5.32149	+	1.56253i	−0.534830	+	0.157040i
$100$	−3.29710	−	2.11892i	−0.329710	−	0.211892i
$101$	−3.09091	+	6.76816i	−0.307557	+	0.673457i	−0.998790	−	0.0491754i	$-0.984341\pi$
$101$	−3.09091	+	6.76816i	−0.307557	+	0.673457i	0.691233	+	0.722632i	$0.257068\pi$
$102$	−1.88712	−	0.554109i	−0.186853	−	0.0548650i
$103$	−2.50563	−	2.89166i	−0.246888	−	0.284923i	0.618757	−	0.785582i	$-0.287637\pi$
$103$	−2.50563	−	2.89166i	−0.246888	−	0.284923i	−0.865645	+	0.500659i	$0.833091\pi$
$104$	−0.597435	−	0.689477i	−0.0585833	−	0.0676087i
$105$	−0.997469	−	0.292883i	−0.0973430	−	0.0285825i
$106$	−0.793779	+	1.73813i	−0.0770986	+	0.168822i
$107$	3.53021	+	2.26873i	0.341278	+	0.219326i	0.700041	−	0.714103i	$-0.253165\pi$
$107$	3.53021	+	2.26873i	0.341278	+	0.219326i	−0.358763	+	0.933429i	$0.616801\pi$
$108$	−0.959493	+	0.281733i	−0.0923273	+	0.0271097i
$109$	1.90964	−	13.2819i	0.182911	−	1.27217i	−0.666925	−	0.745125i	$-0.732390\pi$
$109$	1.90964	−	13.2819i	0.182911	−	1.27217i	0.849836	−	0.527047i	$-0.176701\pi$
$110$	2.39514	+	5.24463i	0.228368	+	0.500055i
$111$	0.0637875	+	0.443652i	0.00605444	+	0.0421095i
$112$	0.841254	−	0.540641i	0.0794910	−	0.0510858i
$113$	11.4524	−	13.2168i	1.07735	−	1.24333i	0.108920	−	0.994050i	$-0.465261\pi$
$113$	11.4524	−	13.2168i	1.07735	−	1.24333i	0.968431	−	0.249280i	$-0.0801939\pi$
$114$	7.11718			0.666585
$115$	3.71757	−	3.32209i	0.346666	−	0.309787i
$116$	2.97427			0.276154
$117$	−0.597435	+	0.689477i	−0.0552329	+	0.0637421i
$118$	1.04810	−	0.673574i	0.0964856	−	0.0620075i
$119$	−0.279904	−	1.94677i	−0.0256587	−	0.178460i
$120$	0.431857	+	0.945634i	0.0394229	+	0.0863242i
$121$	−2.81211	+	19.5586i	−0.255646	+	1.77806i
$122$	7.17215	−	2.10593i	0.649336	−	0.190662i
$123$	1.81376	+	1.16563i	0.163541	+	0.105102i
$124$	−0.782038	+	1.71242i	−0.0702290	+	0.153780i
$125$	8.89670	+	2.61231i	0.795745	+	0.233652i
$126$	−0.654861	−	0.755750i	−0.0583396	−	0.0673275i
$127$	2.52292	+	2.91161i	0.223873	+	0.258363i	0.856564	−	0.516041i	$-0.172595\pi$
$127$	2.52292	+	2.91161i	0.223873	+	0.258363i	−0.632690	+	0.774405i	$0.718049\pi$
$128$	−0.959493	−	0.281733i	−0.0848080	−	0.0249019i
$129$	2.67289	−	5.85281i	0.235335	−	0.515311i
$130$	0.797859	+	0.512753i	0.0699768	+	0.0449714i
$131$	12.2708	−	3.60302i	1.07210	−	0.314798i	0.302387	−	0.953185i	$-0.402217\pi$
$131$	12.2708	−	3.60302i	1.07210	−	0.314798i	0.769715	+	0.638388i	$0.220398\pi$
$132$	−0.789299	+	5.48970i	−0.0686997	+	0.477817i
$133$	2.95658	+	6.47401i	0.256368	+	0.561368i
$134$	1.74542	+	12.1397i	0.150782	+	1.04871i
$135$	0.874549	−	0.562039i	0.0752692	−	0.0483726i
$136$	−1.28797	+	1.48640i	−0.110443	+	0.127458i
$137$	−6.70033			−0.572448			−0.286224	−	0.958163i	$-0.592400\pi$
$137$	−6.70033			−0.572448			−0.286224	+	0.958163i	$0.592400\pi$
$138$	4.73603	−	0.754968i	0.403158	−	0.0642671i
$139$	12.1232			1.02828			0.514139	−	0.857707i	$-0.328111\pi$
$139$	12.1232			1.02828			0.514139	+	0.857707i	$0.328111\pi$
$140$	−0.680779	+	0.785661i	−0.0575364	+	0.0664005i
$141$	−2.53006	+	1.62597i	−0.213069	+	0.136931i
$142$	−1.48476	−	10.3267i	−0.124598	−	0.866599i
$143$	2.10192	+	4.60255i	0.175771	+	0.384885i
$144$	−0.142315	+	0.989821i	−0.0118596	+	0.0824851i
$145$	−2.96674	+	0.871113i	−0.246374	+	0.0723420i
$146$	6.31172	+	4.05630i	0.522362	+	0.335702i
$147$	0.415415	−	0.909632i	0.0342629	−	0.0750252i
$148$	0.430058	+	0.126276i	0.0353505	+	0.0103799i
$149$	7.63820	+	8.81495i	0.625746	+	0.722149i	0.976787	−	0.214211i	$-0.0687180\pi$
$149$	7.63820	+	8.81495i	0.625746	+	0.722149i	−0.351042	+	0.936360i	$0.614173\pi$
$150$	2.56658	+	2.96199i	0.209560	+	0.241846i
$151$	−9.44207	−	2.77244i	−0.768385	−	0.225618i	−0.126031	−	0.992026i	$-0.540224\pi$
$151$	−9.44207	−	2.77244i	−0.768385	−	0.225618i	−0.642354	+	0.766408i	$0.722042\pi$
$152$	2.95658	−	6.47401i	0.239811	−	0.525112i
$153$	1.65457	+	1.06333i	0.133764	+	0.0859649i
$154$	−5.32149	+	1.56253i	−0.428818	+	0.125912i
$155$	0.278518	−	1.93713i	0.0223711	−	0.155594i
$156$	0.378987	+	0.829865i	0.0303432	+	0.0664424i
$157$	0.685252	+	4.76603i	0.0546891	+	0.380371i	0.998723	+	0.0505223i	$0.0160886\pi$
$157$	0.685252	+	4.76603i	0.0546891	+	0.380371i	−0.944034	+	0.329849i	$0.893002\pi$
$158$	4.19575	−	2.69644i	0.333796	−	0.214518i
$159$	1.25131	−	1.44409i	0.0992356	−	0.114524i
$160$	1.03958			0.0821859
$161$	2.65416	+	3.99442i	0.209177	+	0.314805i
$162$	1.00000			0.0785674
$163$	−10.5702	+	12.1987i	−0.827924	+	0.955475i	−0.999559	−	0.0296856i	$-0.990549\pi$
$163$	−10.5702	+	12.1987i	−0.827924	+	0.955475i	0.171636	+	0.985161i	$0.445095\pi$
$164$	1.81376	−	1.16563i	0.141631	−	0.0910207i
$165$	−0.820539	−	5.70697i	−0.0638788	−	0.444287i
$166$	−0.503083	−	1.10160i	−0.0390468	−	0.0855006i
$167$	−2.31850	+	16.1255i	−0.179411	+	1.24783i	0.678720	+	0.734397i	$0.262535\pi$
$167$	−2.31850	+	16.1255i	−0.179411	+	1.24783i	−0.858131	+	0.513431i	$0.828374\pi$
$168$	−0.959493	+	0.281733i	−0.0740265	+	0.0217361i
$169$	−10.2361	−	6.57835i	−0.787393	−	0.506027i
$170$	0.849372	−	1.85986i	0.0651438	−	0.142645i
$171$	−6.82888	−	2.00514i	−0.522218	−	0.153337i
$172$	−4.21354	−	4.86269i	−0.321280	−	0.370776i
$173$	6.83917	+	7.89283i	0.519973	+	0.600081i	0.953624	−	0.301000i	$-0.0973205\pi$
$173$	6.83917	+	7.89283i	0.519973	+	0.600081i	−0.433651	+	0.901081i	$0.642775\pi$
$174$	−2.85379	−	0.837948i	−0.216345	−	0.0635247i
$175$	−1.62813	+	3.56510i	−0.123075	+	0.269496i
$176$	4.66572	+	2.99847i	0.351692	+	0.226018i
$177$	−1.19541	+	0.351005i	−0.0898528	+	0.0263832i
$178$	0.454954	−	3.16428i	0.0341003	−	0.237173i
$179$	−5.13917	−	11.2532i	−0.384119	−	0.841104i	−0.998637	−	0.0522005i	$-0.983376\pi$
$179$	−5.13917	−	11.2532i	−0.384119	−	0.841104i	0.614517	−	0.788903i	$-0.289351\pi$
$180$	−0.147947	−	1.02900i	−0.0110274	−	0.0766969i
$181$	−5.31804	+	3.41770i	−0.395287	+	0.254036i	−0.723152	−	0.690689i	$-0.757307\pi$
$181$	−5.31804	+	3.41770i	−0.395287	+	0.254036i	0.327865	+	0.944725i	$0.393671\pi$
$182$	−0.597435	+	0.689477i	−0.0442848	+	0.0511074i
$183$	−7.47493			−0.552563
$184$	1.28068	−	4.62167i	0.0944127	−	0.340714i
$185$	−0.465954			−0.0342576
$186$	1.23280	−	1.42273i	0.0903936	−	0.104320i
$187$	9.17649	−	5.89737i	0.671051	−	0.431258i
$188$	0.428010	+	2.97688i	0.0312158	+	0.217111i
$189$	0.415415	+	0.909632i	0.0302170	+	0.0661660i
$190$	−1.05297	+	7.32356i	−0.0763904	+	0.531307i
$191$	−7.71472	+	2.26524i	−0.558217	+	0.163907i	−0.548658	−	0.836047i	$-0.684861\pi$
$191$	−7.71472	+	2.26524i	−0.558217	+	0.163907i	−0.00955930	+	0.999954i	$0.503043\pi$
$192$	0.841254	+	0.540641i	0.0607122	+	0.0390174i
$193$	0.917334	−	2.00868i	0.0660311	−	0.144588i	−0.873739	−	0.486395i	$-0.838312\pi$
$193$	0.917334	−	2.00868i	0.0660311	−	0.144588i	0.939770	+	0.341807i	$0.111039\pi$
$194$	−1.81188	−	0.532017i	−0.130086	−	0.0381966i
$195$	−0.621081	−	0.716765i	−0.0444765	−	0.0513286i
$196$	−0.654861	−	0.755750i	−0.0467758	−	0.0539821i
$197$	−8.29275	−	2.43497i	−0.590834	−	0.173485i	−0.0273705	−	0.999625i	$-0.508713\pi$
$197$	−8.29275	−	2.43497i	−0.590834	−	0.173485i	−0.563464	+	0.826141i	$0.690532\pi$
$198$	2.30395	−	5.04495i	0.163735	−	0.358529i
$199$	−7.16088	−	4.60202i	−0.507622	−	0.326229i	0.261637	−	0.965166i	$-0.415738\pi$
$199$	−7.16088	−	4.60202i	−0.507622	−	0.326229i	−0.769258	+	0.638938i	$0.779374\pi$
$200$	3.76052	−	1.10419i	0.265909	−	0.0780779i
$201$	1.74542	−	12.1397i	0.123113	−	0.856267i
$202$	−3.09091	−	6.76816i	−0.217476	−	0.476206i
$203$	−0.423282	−	2.94399i	−0.0297086	−	0.206628i
$204$	1.65457	−	1.06333i	0.115843	−	0.0744478i
$205$	−1.46778	+	1.69390i	−0.102514	+	0.118307i
$206$	3.82621			0.266585
$207$	−4.75689	−	0.609909i	−0.330627	−	0.0423916i
$208$	0.912308			0.0632572
$209$	−25.8493	+	29.8316i	−1.78803	+	2.06350i
$210$	0.874549	−	0.562039i	0.0603496	−	0.0387844i
$211$	2.77225	+	19.2814i	0.190849	+	1.32739i	0.829766	+	0.558111i	$0.188474\pi$
$211$	2.77225	+	19.2814i	0.190849	+	1.32739i	−0.638917	+	0.769276i	$0.720617\pi$
$212$	−0.793779	−	1.73813i	−0.0545170	−	0.119375i
$213$	−1.48476	+	10.3267i	−0.101734	+	0.707575i
$214$	−4.02638	+	1.18225i	−0.275238	+	0.0808172i
$215$	5.62707	+	3.61630i	0.383763	+	0.246630i
$216$	0.415415	−	0.909632i	0.0282654	−	0.0618926i
$217$	1.80629	+	0.530374i	0.122619	+	0.0360042i
$218$	8.78721	+	10.1410i	0.595145	+	0.686834i
$219$	−4.91326	−	5.67021i	−0.332008	−	0.383157i
$220$	−5.53211	−	1.62437i	−0.372975	−	0.109515i
$221$	0.745387	−	1.63217i	0.0501402	−	0.109792i
$222$	−0.377061	−	0.242323i	−0.0253067	−	0.0162636i
$223$	7.24763	−	2.12810i	0.485337	−	0.142508i	−0.0299046	−	0.999553i	$-0.509520\pi$
$223$	7.24763	−	2.12810i	0.485337	−	0.142508i	0.515242	+	0.857045i	$0.327702\pi$
$224$	−0.142315	+	0.989821i	−0.00950881	+	0.0661352i
$225$	−1.62813	−	3.56510i	−0.108542	−	0.237673i
$226$	2.48885	+	17.3103i	0.165556	+	1.15146i
$227$	−12.2073	+	7.84518i	−0.810230	+	0.520703i	−0.878939	−	0.476934i	$-0.841748\pi$
$227$	−12.2073	+	7.84518i	−0.810230	+	0.520703i	0.0687097	+	0.997637i	$0.478112\pi$
$228$	−4.66076	+	5.37881i	−0.308666	+	0.356220i
$229$	16.8271			1.11197			0.555983	−	0.831194i	$-0.312342\pi$
$229$	16.8271			1.11197			0.555983	+	0.831194i	$0.312342\pi$
$230$	0.0761757	+	4.98506i	0.00502288	+	0.328705i
$231$	5.54615			0.364910
$232$	−1.94773	+	2.24780i	−0.127875	+	0.147575i
$233$	−7.72750	+	4.96616i	−0.506245	+	0.325344i	−0.768710	−	0.639598i	$-0.779101\pi$
$233$	−7.72750	+	4.96616i	−0.506245	+	0.325344i	0.262465	+	0.964942i	$0.415465\pi$
$234$	−0.129835	−	0.903022i	−0.00848758	−	0.0590324i
$235$	−1.29880	−	2.84398i	−0.0847246	−	0.185521i
$236$	−0.177307	+	1.23320i	−0.0115417	+	0.0802744i
$237$	−4.78547	+	1.40514i	−0.310850	+	0.0912737i
$238$	1.65457	+	1.06333i	0.107250	+	0.0689253i
$239$	−1.83029	+	4.00778i	−0.118392	+	0.259242i	−0.959545	−	0.281555i	$-0.909150\pi$
$239$	−1.83029	+	4.00778i	−0.118392	+	0.259242i	0.841153	+	0.540797i	$0.181877\pi$
$240$	−0.997469	−	0.292883i	−0.0643863	−	0.0189055i
$241$	16.6259	+	19.1873i	1.07097	+	1.23597i	0.970519	+	0.241023i	$0.0774830\pi$
$241$	16.6259	+	19.1873i	1.07097	+	1.23597i	0.100451	+	0.994942i	$0.467972\pi$
$242$	−12.9399	−	14.9334i	−0.831807	−	0.959957i
$243$	−0.959493	−	0.281733i	−0.0615515	−	0.0180732i
$244$	−3.10520	+	6.79944i	−0.198790	+	0.435289i
$245$	0.874549	+	0.562039i	0.0558729	+	0.0359073i
$246$	−2.06869	+	0.607422i	−0.131895	+	0.0387278i
$247$	−0.924059	+	6.42697i	−0.0587965	+	0.408938i
$248$	−0.782038	−	1.71242i	−0.0496594	−	0.108739i
$249$	0.172349	+	1.19871i	0.0109222	+	0.0759652i
$250$	−7.80035	+	5.01298i	−0.493337	+	0.317049i
$251$	9.40344	−	10.8522i	0.593540	−	0.684982i	−0.376919	−	0.926246i	$-0.623017\pi$
$251$	9.40344	−	10.8522i	0.593540	−	0.684982i	0.970459	+	0.241264i	$0.0775620\pi$
$252$	1.00000			0.0629941
$253$	−14.0366	+	22.5931i	−0.882474	+	1.42042i
$254$	−3.85261			−0.241734
$255$	−1.33895	+	1.54523i	−0.0838483	+	0.0967661i
$256$	0.841254	−	0.540641i	0.0525783	−	0.0337901i
$257$	−2.34912	−	16.3385i	−0.146534	−	1.01917i	−0.921837	−	0.387578i	$-0.873312\pi$
$257$	−2.34912	−	16.3385i	−0.146534	−	1.01917i	0.775303	−	0.631590i	$-0.217597\pi$
$258$	2.67289	+	5.85281i	0.166407	+	0.364380i
$259$	0.0637875	−	0.443652i	0.00396356	−	0.0275672i
$260$	−0.909999	+	0.267200i	−0.0564357	+	0.0165710i
$261$	2.50211	+	1.60801i	0.154877	+	0.0995334i
$262$	−5.31266	+	11.6331i	−0.328217	+	0.718696i
$263$	−2.94801	−	0.865614i	−0.181782	−	0.0533761i	0.189575	−	0.981866i	$-0.439289\pi$
$263$	−2.94801	−	0.865614i	−0.181782	−	0.0533761i	−0.371357	+	0.928490i	$0.621107\pi$
$264$	−3.63195	−	4.19150i	−0.223531	−	0.257969i
$265$	1.30084	+	1.50125i	0.0799099	+	0.0922210i
$266$	−6.82888	−	2.00514i	−0.418706	−	0.122943i
$267$	−1.32801	+	2.90793i	−0.0812726	+	0.177962i
$268$	−10.3176	−	6.63070i	−0.630246	−	0.405034i
$269$	−7.06538	+	2.07458i	−0.430784	+	0.126490i	−0.489934	−	0.871760i	$-0.662979\pi$
$269$	−7.06538	+	2.07458i	−0.430784	+	0.126490i	0.0591501	+	0.998249i	$0.481161\pi$
$270$	−0.147947	+	1.02900i	−0.00900380	+	0.0626228i
$271$	5.85253	+	12.8153i	0.355516	+	0.778471i	0.999905	+	0.0137737i	$0.00438445\pi$
$271$	5.85253	+	12.8153i	0.355516	+	0.778471i	−0.644389	+	0.764698i	$0.722888\pi$
$272$	−0.279904	−	1.94677i	−0.0169716	−	0.118040i
$273$	0.767483	−	0.493231i	0.0464502	−	0.0298517i
$274$	4.38779	−	5.06377i	0.265076	−	0.305914i
$275$	−21.7369			−1.31078
$276$	−2.53088	+	4.07366i	−0.152341	+	0.245205i
$277$	6.23344			0.374531			0.187266	−	0.982309i	$-0.440037\pi$
$277$	6.23344			0.374531			0.187266	+	0.982309i	$0.440037\pi$
$278$	−7.93902	+	9.16212i	−0.476151	+	0.549508i
$279$	−1.58370	+	1.01778i	−0.0948135	+	0.0609329i
$280$	−0.147947	−	1.02900i	−0.00884155	−	0.0614944i
$281$	5.21257	+	11.4139i	0.310956	+	0.680898i	0.998997	−	0.0447734i	$-0.0142566\pi$
$281$	5.21257	+	11.4139i	0.310956	+	0.680898i	−0.688041	+	0.725671i	$0.741529\pi$
$282$	0.428010	−	2.97688i	0.0254876	−	0.177270i
$283$	27.1608	−	7.97512i	1.61454	−	0.474072i	0.654996	−	0.755632i	$-0.272670\pi$
$283$	27.1608	−	7.97512i	1.61454	−	0.474072i	0.959544	+	0.281560i	$0.0908519\pi$
$284$	8.77672	+	5.64046i	0.520803	+	0.334700i
$285$	3.07360	−	6.73025i	0.182064	−	0.398665i
$286$	−4.85484	−	1.42551i	−0.287073	−	0.0842921i
$287$	−1.41189	−	1.62941i	−0.0833415	−	0.0961812i
$288$	−0.654861	−	0.755750i	−0.0385880	−	0.0445330i
$289$	12.5998	+	3.69964i	0.741165	+	0.217626i
$290$	1.28446	−	2.81257i	0.0754259	−	0.165160i
$291$	1.58860	+	1.02093i	0.0931256	+	0.0598482i
$292$	−7.19885	+	2.11377i	−0.421281	+	0.123699i
$293$	−2.90586	+	20.2107i	−0.169762	+	1.18072i	0.709613	+	0.704592i	$0.248870\pi$
$293$	−2.90586	+	20.2107i	−0.169762	+	1.18072i	−0.879375	+	0.476130i	$0.842039\pi$
$294$	0.415415	+	0.909632i	0.0242275	+	0.0530508i
$295$	−0.184325	−	1.28201i	−0.0107318	−	0.0746414i
$296$	−0.377061	+	0.242323i	−0.0219162	+	0.0140847i
$297$	−3.63195	+	4.19150i	−0.210747	+	0.243215i
$298$	−11.6639			−0.675669
$299$	0.0668499	+	4.37477i	0.00386603	+	0.252999i
$300$	−3.91928			−0.226280
$301$	−4.21354	+	4.86269i	−0.242865	+	0.280281i
$302$	8.27852	−	5.32028i	0.476375	−	0.306148i
$303$	1.05890	+	7.36481i	0.0608322	+	0.423097i
$304$	2.95658	+	6.47401i	0.169572	+	0.371310i
$305$	1.10590	−	7.69169i	0.0633235	−	0.440425i
$306$	−1.88712	+	0.554109i	−0.107880	+	0.0316763i
$307$	−21.0471	−	13.5261i	−1.20122	−	0.771977i	−0.222053	−	0.975035i	$-0.571276\pi$
$307$	−21.0471	−	13.5261i	−1.20122	−	0.771977i	−0.979167	+	0.203057i	$0.934912\pi$
$308$	2.30395	−	5.04495i	0.131280	−	0.287463i
$309$	−3.67122	−	1.07797i	−0.208848	−	0.0613235i
$310$	1.28160	+	1.47904i	0.0727899	+	0.0840040i
$311$	14.7269	+	16.9957i	0.835083	+	0.963737i	0.999744	−	0.0226128i	$-0.00719850\pi$
$311$	14.7269	+	16.9957i	0.835083	+	0.963737i	−0.164661	+	0.986350i	$0.552653\pi$
$312$	−0.875353	−	0.257027i	−0.0495571	−	0.0145513i
$313$	−0.980726	+	2.14749i	−0.0554339	+	0.121383i	−0.935322	−	0.353798i	$-0.884890\pi$
$313$	−0.980726	+	2.14749i	−0.0554339	+	0.121383i	0.879888	+	0.475181i	$0.157617\pi$
$314$	−4.05067	−	2.60321i	−0.228593	−	0.146908i
$315$	−0.997469	+	0.292883i	−0.0562010	+	0.0165021i
$316$	−0.709795	+	4.93673i	−0.0399291	+	0.277713i
$317$	−12.4635	−	27.2913i	−0.700022	−	1.53283i	−0.839945	−	0.542671i	$-0.817413\pi$
$317$	−12.4635	−	27.2913i	−0.700022	−	1.53283i	0.139924	−	0.990162i	$-0.455314\pi$
$318$	0.271937	+	1.89136i	0.0152494	+	0.106062i
$319$	13.8771	−	8.91826i	0.776968	−	0.499327i
$320$	−0.680779	+	0.785661i	−0.0380567	+	0.0439198i
$321$	4.19637			0.234218
$322$	−4.75689	−	0.609909i	−0.265091	−	0.0339889i
$323$	13.9980			0.778870
$324$	−0.654861	+	0.755750i	−0.0363812	+	0.0419861i
$325$	−3.00798	+	1.93311i	−0.166853	+	0.107230i
$326$	−2.29713	−	15.9769i	−0.127226	−	0.884878i
$327$	−5.57422	−	12.2058i	−0.308255	−	0.674985i
$328$	−0.306834	+	2.13408i	−0.0169421	+	0.117835i
$329$	2.88566	−	0.847307i	0.159092	−	0.0467136i
$330$	4.85038	+	3.11715i	0.267005	+	0.171593i
$331$	8.85554	−	19.3909i	0.486744	−	1.06582i	−0.493809	−	0.869570i	$-0.664396\pi$
$331$	8.85554	−	19.3909i	0.486744	−	1.06582i	0.980554	−	0.196251i	$-0.0628768\pi$
$332$	1.16198	+	0.341189i	0.0637721	+	0.0187252i
$333$	0.293518	+	0.338737i	0.0160847	+	0.0185627i
$334$	−10.6685	−	12.3122i	−0.583756	−	0.673691i
$335$	12.2335	+	3.59207i	0.668386	+	0.196256i
$336$	0.415415	−	0.909632i	0.0226627	−	0.0496245i
$337$	−22.5142	−	14.4690i	−1.22643	−	0.788177i	−0.243097	−	0.970002i	$-0.578163\pi$
$337$	−22.5142	−	14.4690i	−1.22643	−	0.788177i	−0.983331	+	0.181825i	$0.941800\pi$
$338$	11.6748	−	3.42804i	0.635026	−	0.186461i
$339$	2.48885	−	17.3103i	0.135176	−	0.940167i
$340$	0.849372	+	1.85986i	0.0460636	+	0.100865i
$341$	1.48589	+	10.3346i	0.0804655	+	0.559650i
$342$	5.98735	−	3.84784i	0.323759	−	0.208067i
$343$	−0.654861	+	0.755750i	−0.0353592	+	0.0408066i
$344$	6.43426			0.346912
$345$	1.33136	−	4.80459i	0.0716782	−	0.258671i
$346$	−10.4437			−0.561457
$347$	−18.9837	+	21.9084i	−1.01910	+	1.17610i	−0.0348371	+	0.999393i	$0.511091\pi$
$347$	−18.9837	+	21.9084i	−1.01910	+	1.17610i	−0.984263	+	0.176711i	$0.943454\pi$
$348$	2.50211	−	1.60801i	0.134127	−	0.0861984i
$349$	1.00727	+	7.00575i	0.0539182	+	0.375009i	0.998859	+	0.0477665i	$0.0152103\pi$
$349$	1.00727	+	7.00575i	0.0539182	+	0.375009i	−0.944940	+	0.327243i	$0.893881\pi$
$350$	−1.62813	−	3.56510i	−0.0870270	−	0.190563i
$351$	−0.129835	+	0.903022i	−0.00693008	+	0.0481998i
$352$	−5.32149	+	1.56253i	−0.283636	+	0.0832831i
$353$	−21.7708	−	13.9913i	−1.15874	−	0.744680i	−0.187383	−	0.982287i	$-0.560001\pi$
$353$	−21.7708	−	13.9913i	−1.15874	−	0.744680i	−0.971361	+	0.237607i	$0.923637\pi$
$354$	0.517557	−	1.13329i	0.0275079	−	0.0602338i
$355$	−10.4065	−	3.05562i	−0.552320	−	0.162176i
$356$	2.09347	+	2.41599i	0.110954	+	0.128047i
$357$	−1.28797	−	1.48640i	−0.0681668	−	0.0786687i
$358$	11.8700	+	3.48536i	0.627351	+	0.184207i
$359$	9.51442	−	20.8337i	0.502152	−	1.09956i	−0.473612	−	0.880734i	$-0.657050\pi$
$359$	9.51442	−	20.8337i	0.502152	−	1.09956i	0.975764	−	0.218826i	$-0.0702226\pi$
$360$	0.874549	+	0.562039i	0.0460928	+	0.0296220i
$361$	−30.3720	+	8.91803i	−1.59853	+	0.469370i
$362$	0.899653	−	6.25723i	0.0472847	−	0.328872i
$363$	8.20850	+	17.9741i	0.430834	+	0.943396i
$364$	−0.129835	−	0.903022i	−0.00680520	−	0.0473312i
$365$	6.56153	−	4.21684i	0.343446	−	0.220720i
$366$	4.89504	−	5.64918i	0.255868	−	0.295287i
$367$	33.6495			1.75649			0.878244	−	0.478213i	$-0.158715\pi$
$367$	33.6495			1.75649			0.878244	+	0.478213i	$0.158715\pi$
$368$	2.65416	+	3.99442i	0.138358	+	0.208224i
$369$	2.15602			0.112238
$370$	0.305135	−	0.352144i	0.0158632	−	0.0183071i
$371$	−1.60748	+	1.03306i	−0.0834559	+	0.0536339i
$372$	0.267914	+	1.86338i	0.0138907	+	0.0966119i
$373$	10.0191	+	21.9387i	0.518768	+	1.13594i	0.969904	+	0.243488i	$0.0782918\pi$
$373$	10.0191	+	21.9387i	0.518768	+	1.13594i	−0.451136	+	0.892455i	$0.648981\pi$
$374$	−1.55239	+	10.7971i	−0.0802720	+	0.558304i
$375$	8.89670	−	2.61231i	0.459423	−	0.134899i
$376$	−2.53006	−	1.62597i	−0.130478	−	0.0838530i
$377$	1.12721	−	2.46824i	0.0580541	−	0.127121i
$378$	−0.959493	−	0.281733i	−0.0493510	−	0.0144908i
$379$	3.26418	+	3.76706i	0.167670	+	0.193501i	0.833366	−	0.552722i	$-0.186411\pi$
$379$	3.26418	+	3.76706i	0.167670	+	0.193501i	−0.665696	+	0.746223i	$0.731865\pi$
$380$	−4.84523	−	5.59169i	−0.248555	−	0.286848i
$381$	3.69655	+	1.08541i	0.189380	+	0.0556070i
$382$	3.34011	−	7.31381i	0.170895	−	0.374207i
$383$	−0.0630197	−	0.0405003i	−0.00322015	−	0.00206947i	0.539030	−	0.842287i	$-0.318791\pi$
$383$	−0.0630197	−	0.0405003i	−0.00322015	−	0.00206947i	−0.542250	+	0.840217i	$0.682427\pi$
$384$	−0.959493	+	0.281733i	−0.0489639	+	0.0143771i
$385$	−0.820539	+	5.70697i	−0.0418185	+	0.290854i
$386$	0.917334	+	2.00868i	0.0466910	+	0.102239i
$387$	−0.915690	−	6.36876i	−0.0465471	−	0.323743i
$388$	1.58860	−	1.02093i	0.0806492	−	0.0518301i
$389$	21.5288	−	24.8456i	1.09155	−	1.25972i	0.128125	−	0.991758i	$-0.459104\pi$
$389$	21.5288	−	24.8456i	1.09155	−	1.25972i	0.963429	−	0.267963i	$-0.0863504\pi$
$390$	0.948416			0.0480249
$391$	9.31479	−	1.48486i	0.471069	−	0.0750928i
$392$	1.00000			0.0505076
$393$	8.37488	−	9.66513i	0.422457	−	0.487541i
$394$	7.27083	−	4.67268i	0.366299	−	0.235406i
$395$	−0.737887	−	5.13212i	−0.0371271	−	0.258225i
$396$	2.30395	+	5.04495i	0.115778	+	0.253518i
$397$	2.29765	−	15.9805i	0.115316	−	0.802039i	−0.847290	−	0.531131i	$-0.821767\pi$
$397$	2.29765	−	15.9805i	0.115316	−	0.802039i	0.962605	−	0.270908i	$-0.0873238\pi$
$398$	8.16736	−	2.39815i	0.409393	−	0.120209i
$399$	5.98735	+	3.84784i	0.299743	+	0.192633i
$400$	−1.62813	+	3.56510i	−0.0814063	+	0.178255i
$401$	12.7716	+	3.75007i	0.637781	+	0.187269i	0.584608	−	0.811316i	$-0.301248\pi$
$401$	12.7716	+	3.75007i	0.637781	+	0.187269i	0.0531732	+	0.998585i	$0.483066\pi$
$402$	8.03155	+	9.26890i	0.400577	+	0.462291i
$403$	1.12470	+	1.29797i	0.0560252	+	0.0646565i
$404$	7.13915	+	2.09624i	0.355186	+	0.104292i
$405$	0.431857	−	0.945634i	0.0214591	−	0.0469889i
$406$	2.50211	+	1.60801i	0.124178	+	0.0798042i
$407$	2.38516	−	0.700348i	0.118228	−	0.0347149i
$408$	−0.279904	+	1.94677i	−0.0138573	+	0.0963796i
$409$	9.50985	+	20.8237i	0.470232	+	1.02966i	0.985035	+	0.172356i	$0.0551378\pi$
$409$	9.50985	+	20.8237i	0.470232	+	1.02966i	−0.514803	+	0.857309i	$0.672135\pi$
$410$	−0.318978	−	2.21854i	−0.0157532	−	0.109566i
$411$	−5.63668	+	3.62247i	−0.278037	+	0.178683i
$412$	−2.50563	+	2.89166i	−0.123444	+	0.142462i
$413$	1.24588			0.0613058
$414$	3.57604	−	3.19561i	0.175753	−	0.157056i
$415$	−1.25897			−0.0618004
$416$	−0.597435	+	0.689477i	−0.0292917	+	0.0338044i
$417$	10.1987	−	6.55431i	0.499433	−	0.320966i
$418$	−5.61758	−	39.0711i	−0.274765	−	1.91103i
$419$	11.0925	+	24.2893i	0.541906	+	1.18661i	0.960460	+	0.278417i	$0.0898099\pi$
$419$	11.0925	+	24.2893i	0.541906	+	1.18661i	−0.418554	+	0.908192i	$0.637463\pi$
$420$	−0.147947	+	1.02900i	−0.00721910	+	0.0502099i
$421$	−25.8146	+	7.57985i	−1.25813	+	0.369419i	−0.841797	−	0.539794i	$-0.818502\pi$
$421$	−25.8146	+	7.57985i	−1.25813	+	0.369419i	−0.416330	+	0.909214i	$0.636684\pi$
$422$	−16.3874	−	10.5315i	−0.797724	−	0.512666i
$423$	−1.24936	+	2.73571i	−0.0607457	+	0.133015i
$424$	1.83341	+	0.538337i	0.0890382	+	0.0261440i
$425$	5.04793	+	5.82562i	0.244860	+	0.282584i
$426$	−6.83210	−	7.88467i	−0.331016	−	0.382013i
$427$	7.17215	+	2.10593i	0.347084	+	0.101913i
$428$	1.74323	−	3.81715i	0.0842624	−	0.184509i
$429$	4.25657	+	2.73553i	0.205509	+	0.132073i
$430$	−6.41797	+	1.88449i	−0.309502	+	0.0908780i
$431$	5.07286	−	35.2825i	0.244351	−	1.69950i	−0.385437	−	0.922734i	$-0.625949\pi$
$431$	5.07286	−	35.2825i	0.244351	−	1.69950i	0.629789	−	0.776766i	$-0.283141\pi$
$432$	0.415415	+	0.909632i	0.0199867	+	0.0437647i
$433$	4.65331	+	32.3645i	0.223624	+	1.55534i	0.724167	+	0.689625i	$0.242225\pi$
$433$	4.65331	+	32.3645i	0.223624	+	1.55534i	−0.500543	+	0.865712i	$0.666866\pi$
$434$	−1.58370	+	1.01778i	−0.0760199	+	0.0488550i
$435$	−2.02482	+	2.33677i	−0.0970827	+	0.112039i
$436$	−13.4184			−0.642627
$437$	−30.8280	+	14.6520i	−1.47470	+	0.700901i
$438$	7.50276			0.358496
$439$	4.43264	−	5.11554i	0.211558	−	0.244151i	−0.640046	−	0.768337i	$-0.721085\pi$
$439$	4.43264	−	5.11554i	0.211558	−	0.244151i	0.851604	+	0.524185i	$0.175630\pi$
$440$	4.85038	−	3.11715i	0.231233	−	0.148604i
$441$	−0.142315	−	0.989821i	−0.00677690	−	0.0471344i
$442$	0.745387	+	1.63217i	0.0354545	+	0.0776344i
$443$	0.852123	−	5.92664i	0.0404856	−	0.281583i	−0.959514	−	0.281659i	$-0.909115\pi$
$443$	0.852123	−	5.92664i	0.0404856	−	0.281583i	1.00000		7.61810e-5i	$2.42492e-5\pi$
$444$	0.430058	−	0.126276i	0.0204096	−	0.00599281i
$445$	−2.79577	−	1.79673i	−0.132532	−	0.0851734i
$446$	−3.13788	+	6.87100i	−0.148583	+	0.325351i
$447$	11.1914	+	3.28609i	0.529334	+	0.155427i
$448$	−0.654861	−	0.755750i	−0.0309393	−	0.0357058i
$449$	−9.61243	−	11.0933i	−0.453639	−	0.523527i	0.482150	−	0.876089i	$-0.339856\pi$
$449$	−9.61243	−	11.0933i	−0.453639	−	0.523527i	−0.935789	+	0.352562i	$0.885311\pi$
$450$	3.76052	+	1.10419i	0.177273	+	0.0520519i
$451$	4.96738	−	10.8770i	0.233905	−	0.512180i
$452$	−14.7121	−	9.45489i	−0.691999	−	0.444721i
$453$	−9.44207	+	2.77244i	−0.443627	+	0.130261i
$454$	2.06512	−	14.3632i	0.0969207	−	0.674098i
$455$	0.393986	+	0.862710i	0.0184704	+	0.0404445i
$456$	−1.01288	−	7.04474i	−0.0474325	−	0.329900i
$457$	30.1201	−	19.3570i	1.40896	−	0.905484i	0.408986	−	0.912541i	$-0.365883\pi$
$457$	30.1201	−	19.3570i	1.40896	−	0.905484i	0.999975	+	0.00705660i	$0.00224621\pi$
$458$	−11.0194	+	12.7171i	−0.514903	+	0.594230i
$459$	1.96679			0.0918019
$460$	−3.81734	−	3.20695i	−0.177985	−	0.149525i
$461$	21.6017			1.00609			0.503046	−	0.864260i	$-0.332213\pi$
$461$	21.6017			1.00609			0.503046	+	0.864260i	$0.332213\pi$
$462$	−3.63195	+	4.19150i	−0.168974	+	0.195006i
$463$	28.3095	−	18.1934i	1.31566	−	0.845520i	0.320832	−	0.947136i	$-0.396038\pi$
$463$	28.3095	−	18.1934i	1.31566	−	0.845520i	0.994824	+	0.101616i	$0.0324012\pi$
$464$	−0.423282	−	2.94399i	−0.0196504	−	0.136672i
$465$	−0.812990	−	1.78020i	−0.0377015	−	0.0825547i
$466$	1.30726	−	9.09220i	0.0605577	−	0.421188i
$467$	29.1945	−	8.57229i	1.35096	−	0.396678i	0.475394	−	0.879773i	$-0.342305\pi$
$467$	29.1945	−	8.57229i	1.35096	−	0.396678i	0.875568	+	0.483094i	$0.160487\pi$
$468$	0.767483	+	0.493231i	0.0354769	+	0.0227996i
$469$	−5.09486	+	11.1562i	−0.235259	+	0.515145i
$470$	2.99987	+	0.880843i	0.138374	+	0.0406302i
$471$	3.15318	+	3.63897i	0.145291	+	0.167675i
$472$	−0.815878	−	0.941574i	−0.0375538	−	0.0433394i
$473$	−34.2398	−	10.0537i	−1.57435	−	0.462271i
$474$	2.07188	−	4.53679i	0.0951646	−	0.208381i
$475$	−23.4661	−	15.0807i	−1.07670	−	0.691952i
$476$	−1.88712	+	0.554109i	−0.0864961	+	0.0253975i
$477$	0.271937	−	1.89136i	0.0124511	−	0.0865994i
$478$	−1.83029	−	4.00778i	−0.0837156	−	0.183312i
$479$	−0.859401	−	5.97727i	−0.0392670	−	0.273108i	0.960723	−	0.277508i	$-0.0895086\pi$
$479$	−0.859401	−	5.97727i	−0.0392670	−	0.273108i	−0.999990	+	0.00439991i	$0.998599\pi$
$480$	0.874549	−	0.562039i	0.0399175	−	0.0256534i
$481$	0.267779	−	0.309033i	0.0122097	−	0.0140907i
$482$	−25.3885			−1.15641
$483$	4.39237	+	1.92537i	0.199860	+	0.0876076i
$484$	19.7598			0.898171
$485$	−1.28557	+	1.48362i	−0.0583747	+	0.0673679i
$486$	0.841254	−	0.540641i	0.0381600	−	0.0245240i
$487$	−1.98249	−	13.7885i	−0.0898351	−	0.624817i	−0.984145	−	0.177368i	$-0.943242\pi$
$487$	−1.98249	−	13.7885i	−0.0898351	−	0.624817i	0.894309	−	0.447449i	$-0.147667\pi$
$488$	−3.10520	−	6.79944i	−0.140566	−	0.307796i
$489$	−2.29713	+	15.9769i	−0.103880	+	0.722500i
$490$	−0.997469	+	0.292883i	−0.0450610	+	0.0132311i
$491$	−11.6415	−	7.48157i	−0.525376	−	0.337638i	0.250920	−	0.968008i	$-0.419267\pi$
$491$	−11.6415	−	7.48157i	−0.525376	−	0.337638i	−0.776295	+	0.630369i	$0.782903\pi$
$492$	0.895644	−	1.96119i	0.0403788	−	0.0884172i
$493$	−5.61281	−	1.64807i	−0.252788	−	0.0742253i
$494$	−4.25205	−	4.90713i	−0.191309	−	0.220782i
$495$	−3.77570	−	4.35739i	−0.169705	−	0.195850i
$496$	1.80629	+	0.530374i	0.0811048	+	0.0238145i
$497$	4.33399	−	9.49011i	0.194406	−	0.425690i
$498$	−1.01879	−	0.654736i	−0.0456531	−	0.0293394i
$499$	37.7794	−	11.0930i	1.69124	−	0.496593i	0.712496	−	0.701676i	$-0.247565\pi$
$499$	37.7794	−	11.0930i	1.69124	−	0.496593i	0.978744	+	0.205083i	$0.0657466\pi$
$500$	1.31958	−	9.17791i	0.0590136	−	0.410449i
$501$	6.76765	+	14.8191i	0.302357	+	0.662068i
$502$	2.04356	+	14.2133i	0.0912087	+	0.634371i
$503$	36.7500	−	23.6178i	1.63860	−	1.05307i	0.696599	−	0.717461i	$-0.254696\pi$
$503$	36.7500	−	23.6178i	1.63860	−	1.05307i	0.942003	−	0.335605i	$-0.108941\pi$
$504$	−0.654861	+	0.755750i	−0.0291698	+	0.0336638i
$505$	−7.73503			−0.344204
$506$	−7.88269	−	25.4035i	−0.350428	−	1.12932i
$507$	−12.1677			−0.540386
$508$	2.52292	−	2.91161i	0.111937	−	0.129182i
$509$	18.9612	−	12.1856i	0.840442	−	0.540119i	−0.0481385	−	0.998841i	$-0.515329\pi$
$509$	18.9612	−	12.1856i	0.840442	−	0.540119i	0.888580	+	0.458722i	$0.151693\pi$
$510$	−0.290982	−	2.02382i	−0.0128849	−	0.0896164i
$511$	3.11676	+	6.82475i	0.137877	+	0.301909i
$512$	−0.142315	+	0.989821i	−0.00628949	+	0.0437443i
$513$	−6.82888	+	2.00514i	−0.301503	+	0.0885291i
$514$	13.8862	+	8.92409i	0.612492	+	0.393625i
$515$	1.65237	−	3.61819i	0.0728123	−	0.159437i
$516$	−6.17362	−	1.81274i	−0.271779	−	0.0798014i
$517$	10.9231	+	12.6059i	0.480396	+	0.554406i
$518$	0.293518	+	0.338737i	0.0128964	+	0.0148833i
$519$	10.0207	+	2.94233i	0.439858	+	0.129154i
$520$	0.393986	−	0.862710i	0.0172774	−	0.0378323i
$521$	−36.0116	−	23.1432i	−1.57769	−	1.01392i	−0.976684	−	0.214682i	$-0.931129\pi$
$521$	−36.0116	−	23.1432i	−1.57769	−	1.01392i	−0.601011	−	0.799241i	$-0.705235\pi$
$522$	−2.85379	+	0.837948i	−0.124907	+	0.0366760i
$523$	1.28273	−	8.92155i	0.0560897	−	0.390112i	−0.942367	−	0.334580i	$-0.891405\pi$
$523$	1.28273	−	8.92155i	0.0560897	−	0.390112i	0.998457	−	0.0555319i	$-0.0176854\pi$
$524$	−5.31266	−	11.6331i	−0.232085	−	0.508195i
$525$	0.557771	+	3.87938i	0.0243431	+	0.169310i
$526$	2.58472	−	1.66110i	0.112699	−	0.0724275i
$527$	2.42467	−	2.79822i	0.105620	−	0.121892i
$528$	5.54615			0.241365
$529$	−18.9599	+	13.0201i	−0.824342	+	0.566092i
$530$	−1.98644			−0.0862853
$531$	−0.815878	+	0.941574i	−0.0354061	+	0.0408608i
$532$	5.98735	−	3.84784i	0.259585	−	0.166825i
$533$	−0.279927	−	1.94694i	−0.0121250	−	0.0843312i
$534$	−1.32801	−	2.90793i	−0.0574684	−	0.125838i
$535$	−0.620842	+	4.31805i	−0.0268413	+	0.186686i
$536$	11.7677	−	3.45531i	0.508288	−	0.149247i
$537$	−10.4073	−	6.68835i	−0.449107	−	0.288624i
$538$	3.05898	−	6.69822i	0.131882	−	0.288781i
$539$	−5.32149	−	1.56253i	−0.229213	−	0.0673029i
$540$	−0.680779	−	0.785661i	−0.0292961	−	0.0338095i
$541$	18.0878	+	20.8745i	0.777656	+	0.897463i	0.996938	−	0.0781987i	$-0.0249169\pi$
$541$	18.0878	+	20.8745i	0.777656	+	0.897463i	−0.219282	+	0.975662i	$0.570371\pi$
$542$	−13.5177	−	3.96916i	−0.580636	−	0.170490i
$543$	−2.62607	+	5.75030i	−0.112696	+	0.246769i
$544$	1.65457	+	1.06333i	0.0709391	+	0.0455898i
$545$	13.3845	−	3.93004i	0.573328	−	0.168344i
$546$	−0.129835	+	0.903022i	−0.00555643	+	0.0386458i
$547$	−7.48479	−	16.3894i	−0.320027	−	0.700761i	0.679429	−	0.733741i	$-0.262227\pi$
$547$	−7.48479	−	16.3894i	−0.320027	−	0.700761i	−0.999456	+	0.0329804i	$0.989500\pi$
$548$	0.953557	+	6.63213i	0.0407339	+	0.283311i
$549$	−6.28831	+	4.04125i	−0.268379	+	0.172477i
$550$	14.2346	−	16.4276i	0.606967	−	0.700477i
$551$	21.1684			0.901804
$552$	−1.42129	−	4.58039i	−0.0604942	−	0.194954i
$553$	4.98750			0.212090
$554$	−4.08204	+	4.71092i	−0.173429	+	0.200148i
$555$	−0.391985	+	0.251913i	−0.0166388	+	0.0106931i
$556$	−1.72531	−	11.9998i	−0.0731696	−	0.508906i
$557$	−7.77536	−	17.0257i	−0.329452	−	0.721400i	0.670334	−	0.742059i	$-0.266151\pi$
$557$	−7.77536	−	17.0257i	−0.329452	−	0.721400i	−0.999787	+	0.0206591i	$0.993424\pi$
$558$	0.267914	−	1.86338i	0.0113417	−	0.0788833i
$559$	−5.63225	+	1.65378i	−0.238219	+	0.0699473i
$560$	0.874549	+	0.562039i	0.0369565	+	0.0237505i
$561$	4.53139	−	9.92237i	0.191316	−	0.418923i
$562$	−12.0396	−	3.53514i	−0.507859	−	0.149121i
$563$	−4.63626	−	5.35053i	−0.195395	−	0.225498i	0.649594	−	0.760281i	$-0.274939\pi$
$563$	−4.63626	−	5.35053i	−0.195395	−	0.225498i	−0.844989	+	0.534783i	$0.820393\pi$
$564$	1.96949	+	2.27291i	0.0829303	+	0.0957067i
$565$	17.4440	+	5.12203i	0.733876	+	0.215485i
$566$	−11.7593	+	25.7493i	−0.494281	+	1.08233i
$567$	0.841254	+	0.540641i	0.0353293	+	0.0227048i
$568$	−10.0103	+	2.93929i	−0.420023	+	0.123330i
$569$	6.23891	−	43.3926i	0.261549	−	1.81911i	−0.259679	−	0.965695i	$-0.583617\pi$
$569$	6.23891	−	43.3926i	0.261549	−	1.81911i	0.521228	−	0.853417i	$-0.325474\pi$
$570$	3.07360	+	6.73025i	0.128739	+	0.281899i
$571$	−1.17282	−	8.15712i	−0.0490809	−	0.341365i	−0.999535	−	0.0304994i	$-0.990290\pi$
$571$	−1.17282	−	8.15712i	−0.0490809	−	0.341365i	0.950454	−	0.310865i	$-0.100619\pi$
$572$	4.25657	−	2.73553i	0.177976	−	0.114378i
$573$	−5.26535	+	6.07654i	−0.219963	+	0.253851i
$574$	2.15602			0.0899907
$575$	−17.2149	−	7.54607i	−0.717912	−	0.314693i
$576$	1.00000			0.0416667
$577$	14.6806	−	16.9423i	0.611161	−	0.705317i	−0.362843	−	0.931850i	$-0.618194\pi$
$577$	14.6806	−	16.9423i	0.611161	−	0.705317i	0.974003	+	0.226533i	$0.0727392\pi$
$578$	−11.0471	+	7.09955i	−0.459499	+	0.295302i
$579$	−0.314264	−	2.18576i	−0.0130604	−	0.0908370i
$580$	1.28446	+	2.81257i	0.0533342	+	0.116786i
$581$	0.172349	−	1.19871i	0.00715023	−	0.0497309i
$582$	−1.81188	+	0.532017i	−0.0751050	+	0.0220528i
$583$	−8.91529	−	5.72951i	−0.369234	−	0.237292i
$584$	3.11676	−	6.82475i	0.128972	−	0.282410i
$585$	−0.909999	−	0.267200i	−0.0376238	−	0.0110474i
$586$	−13.3713	−	15.4313i	−0.552363	−	0.637461i
$587$	−18.8067	−	21.7041i	−0.776237	−	0.895825i	0.220595	−	0.975366i	$-0.429200\pi$
$587$	−18.8067	−	21.7041i	−0.776237	−	0.895825i	−0.996832	+	0.0795404i	$0.974655\pi$
$588$	−0.959493	−	0.281733i	−0.0395688	−	0.0116185i
$589$	−5.56590	+	12.1876i	−0.229339	+	0.502182i
$590$	1.08958	+	0.700233i	0.0448575	+	0.0288281i
$591$	−8.29275	+	2.43497i	−0.341118	+	0.100161i
$592$	0.0637875	−	0.443652i	0.00262165	−	0.0182340i
$593$	13.2314	+	28.9727i	0.543349	+	1.18977i	0.959819	+	0.280619i	$0.0905396\pi$
$593$	13.2314	+	28.9727i	0.543349	+	1.18977i	−0.416471	+	0.909149i	$0.636733\pi$
$594$	−0.789299	−	5.48970i	−0.0323853	−	0.225245i
$595$	1.72006	−	1.10541i	0.0705154	−	0.0453175i
$596$	7.63820	−	8.81495i	0.312873	−	0.361074i
$597$	−8.51216			−0.348379
$598$	−3.35001	−	2.81434i	−0.136992	−	0.115087i
$599$	8.80086			0.359593			0.179797	−	0.983704i	$-0.442456\pi$
$599$	8.80086			0.359593			0.179797	+	0.983704i	$0.442456\pi$
$600$	2.56658	−	2.96199i	0.104780	−	0.120923i
$601$	1.13626	−	0.730227i	0.0463488	−	0.0297866i	−0.517261	−	0.855828i	$-0.673048\pi$
$601$	1.13626	−	0.730227i	0.0463488	−	0.0297866i	0.563610	+	0.826041i	$0.309412\pi$
$602$	−0.915690	−	6.36876i	−0.0373207	−	0.259571i
$603$	−5.09486	−	11.1562i	−0.207479	−	0.454315i
$604$	−1.40048	+	9.74053i	−0.0569846	+	0.396336i
$605$	−19.7097	+	5.78730i	−0.801314	+	0.235287i
$606$	−6.25938	−	4.02266i	−0.254270	−	0.163409i
$607$	−12.9090	+	28.2669i	−0.523962	+	1.14732i	0.443956	+	0.896049i	$0.353575\pi$
$607$	−12.9090	+	28.2669i	−0.523962	+	1.14732i	−0.967918	+	0.251268i	$0.919153\pi$
$608$	−6.82888	−	2.00514i	−0.276948	−	0.0813192i
$609$	−1.94773	−	2.24780i	−0.0789261	−	0.0910855i
$610$	5.08878	+	5.87276i	0.206039	+	0.237781i
$611$	2.63261	+	0.773005i	0.106504	+	0.0312725i
$612$	0.817035	−	1.78906i	0.0330267	−	0.0723183i
$613$	−17.4702	−	11.2274i	−0.705613	−	0.453470i	0.137992	−	0.990433i	$-0.455935\pi$
$613$	−17.4702	−	11.2274i	−0.705613	−	0.453470i	−0.843606	+	0.536963i	$0.819571\pi$
$614$	24.0053	−	7.04858i	0.968774	−	0.284458i
$615$	−0.318978	+	2.21854i	−0.0128624	+	0.0894602i
$616$	2.30395	+	5.04495i	0.0928289	+	0.203267i
$617$	1.31045	+	9.11441i	0.0527569	+	0.366932i	0.999048	+	0.0436173i	$0.0138882\pi$
$617$	1.31045	+	9.11441i	0.0527569	+	0.366932i	−0.946291	+	0.323315i	$0.895203\pi$
$618$	3.21881	−	2.06861i	0.129480	−	0.0832115i
$619$	−22.9391	+	26.4732i	−0.922001	+	1.06405i	0.0757571	+	0.997126i	$0.475863\pi$
$619$	−22.9391	+	26.4732i	−0.922001	+	1.06405i	−0.997758	+	0.0669199i	$0.978683\pi$
$620$	−1.95705			−0.0785972
$621$	−4.33149	+	2.05868i	−0.173817	+	0.0826120i
$622$	−22.4885			−0.901708
$623$	2.09347	−	2.41599i	0.0838731	−	0.0967947i
$624$	0.767483	−	0.493231i	0.0307239	−	0.0197450i
$625$	−1.41704	−	9.85576i	−0.0566817	−	0.394230i
$626$	−0.980726	−	2.14749i	−0.0391977	−	0.0858310i
$627$	−5.61758	+	39.0711i	−0.224345	+	1.56035i
$628$	4.62000	−	1.35655i	0.184358	−	0.0541324i
$629$	−0.741601	−	0.476598i	−0.0295696	−	0.0190032i
$630$	0.431857	−	0.945634i	0.0172056	−	0.0376750i
$631$	−44.9945	−	13.2116i	−1.79120	−	0.525945i	−0.794515	−	0.607245i	$-0.792275\pi$
$631$	−44.9945	−	13.2116i	−1.79120	−	0.525945i	−0.996690	+	0.0813001i	$0.974093\pi$
$632$	−3.26612	−	3.76930i	−0.129919	−	0.149935i
$633$	12.7565	+	14.7218i	0.507025	+	0.585138i
$634$	28.7873	+	8.45271i	1.14329	+	0.335700i
$635$	−1.66377	+	3.64316i	−0.0660249	+	0.144574i
$636$	−1.60748	−	1.03306i	−0.0637405	−	0.0409636i
$637$	−0.875353	+	0.257027i	−0.0346828	+	0.0101838i
$638$	−2.34759	+	16.3278i	−0.0929419	+	0.646425i
$639$	4.33399	+	9.49011i	0.171450	+	0.375423i
$640$	−0.147947	−	1.02900i	−0.00584814	−	0.0406747i
$641$	−7.32098	+	4.70491i	−0.289161	+	0.185833i	−0.677177	−	0.735820i	$-0.736797\pi$
$641$	−7.32098	+	4.70491i	−0.289161	+	0.185833i	0.388016	+	0.921653i	$0.373161\pi$
$642$	−2.74804	+	3.17140i	−0.108456	+	0.125165i
$643$	35.3244			1.39306			0.696529	−	0.717528i	$-0.254727\pi$
$643$	35.3244			1.39306			0.696529	+	0.717528i	$0.254727\pi$
$644$	3.57604	−	3.19561i	0.140916	−	0.125925i
$645$	6.68892			0.263376
$646$	−9.16674	+	10.5790i	−0.360661	+	0.416225i
$647$	18.5727	−	11.9360i	0.730170	−	0.469251i	−0.121991	−	0.992531i	$-0.538928\pi$
$647$	18.5727	−	11.9360i	0.730170	−	0.469251i	0.852161	+	0.523280i	$0.175292\pi$
$648$	−0.142315	−	0.989821i	−0.00559065	−	0.0388839i
$649$	2.87045	+	6.28541i	0.112675	+	0.246724i
$650$	0.508859	−	3.53919i	0.0199591	−	0.138819i
$651$	1.80629	−	0.530374i	0.0707940	−	0.0207870i
$652$	13.5788	+	8.72658i	0.531788	+	0.341759i
$653$	12.0648	−	26.4182i	0.472132	−	1.03383i	−0.512420	−	0.858735i	$-0.671251\pi$
$653$	12.0648	−	26.4182i	0.472132	−	1.03383i	0.984552	−	0.175091i	$-0.0560218\pi$
$654$	12.8749	+	3.78041i	0.503449	+	0.147826i
$655$	8.70635	+	10.0477i	0.340185	+	0.392595i
$656$	−1.41189	−	1.62941i	−0.0551252	−	0.0636179i
$657$	−7.19885	−	2.11377i	−0.280854	−	0.0824661i
$658$	−1.24936	+	2.73571i	−0.0487049	+	0.106649i
$659$	−12.5240	−	8.04868i	−0.487865	−	0.313532i	0.273481	−	0.961877i	$-0.411825\pi$
$659$	−12.5240	−	8.04868i	−0.487865	−	0.313532i	−0.761346	+	0.648345i	$0.775461\pi$
$660$	−5.53211	+	1.62437i	−0.215337	+	0.0632286i
$661$	−4.91578	+	34.1900i	−0.191202	+	1.32984i	0.637631	+	0.770342i	$0.279914\pi$
$661$	−4.91578	+	34.1900i	−0.191202	+	1.32984i	−0.828833	+	0.559496i	$0.810995\pi$
$662$	8.85554	+	19.3909i	0.344180	+	0.753649i
$663$	−0.255358	−	1.77606i	−0.00991730	−	0.0689763i
$664$	−1.01879	+	0.654736i	−0.0395367	+	0.0254087i
$665$	−4.84523	+	5.59169i	−0.187890	+	0.216837i
$666$	−0.448214			−0.0173679
$667$	14.0862	−	2.24548i	0.545421	−	0.0869452i
$668$	16.2913			0.630330
$669$	4.94656	−	5.70863i	0.191245	−	0.220708i
$670$	−10.7259	+	6.89313i	−0.414378	+	0.266305i
$671$	5.89996	+	41.0351i	0.227765	+	1.58414i
$672$	0.415415	+	0.909632i	0.0160250	+	0.0350898i
$673$	3.44048	−	23.9291i	0.132621	−	0.922399i	−0.809499	−	0.587122i	$-0.800261\pi$
$673$	3.44048	−	23.9291i	0.132621	−	0.922399i	0.942120	−	0.335277i	$-0.108830\pi$
$674$	25.6786	−	7.53993i	0.989104	−	0.290427i
$675$	−3.29710	−	2.11892i	−0.126906	−	0.0815573i
$676$	−5.05464	+	11.0681i	−0.194409	+	0.425697i
$677$	−20.7563	−	6.09459i	−0.797728	−	0.234234i	−0.142628	−	0.989776i	$-0.545555\pi$
$677$	−20.7563	−	6.09459i	−0.797728	−	0.234234i	−0.655100	+	0.755542i	$0.727373\pi$
$678$	11.4524	+	13.2168i	0.439827	+	0.507587i
$679$	−1.23662	−	1.42714i	−0.0474573	−	0.0547686i
$680$	−1.96181	−	0.576040i	−0.0752321	−	0.0220901i
$681$	−6.02804	+	13.1996i	−0.230995	+	0.505809i
$682$	−8.78342	−	5.64476i	−0.336335	−	0.216149i
$683$	−34.6906	+	10.1861i	−1.32740	+	0.389759i	−0.867157	−	0.498035i	$-0.834055\pi$
$683$	−34.6906	+	10.1861i	−1.32740	+	0.389759i	−0.460240	+	0.887794i	$0.652237\pi$
$684$	−1.01288	+	7.04474i	−0.0387284	+	0.269362i
$685$	−2.89358	−	6.33606i	−0.110558	−	0.242089i
$686$	−0.142315	−	0.989821i	−0.00543361	−	0.0377916i
$687$	14.1559	−	9.09741i	0.540079	−	0.347088i
$688$	−4.21354	+	4.86269i	−0.160640	+	0.185388i
$689$	−1.74325			−0.0664124
$690$	2.75921	+	4.15252i	0.105041	+	0.158084i
$691$	−34.7099			−1.32043			−0.660213	−	0.751078i	$-0.729534\pi$
$691$	−34.7099			−1.32043			−0.660213	+	0.751078i	$0.729534\pi$
$692$	6.83917	−	7.89283i	0.259986	−	0.300040i
$693$	4.66572	−	2.99847i	0.177236	−	0.113903i
$694$	−4.12556	−	28.6939i	−0.156604	−	1.08921i
$695$	5.23549	+	11.4641i	0.198594	+	0.434859i
$696$	−0.423282	+	2.94399i	−0.0160445	+	0.111592i
$697$	−4.06868	+	1.19467i	−0.154112	+	0.0452514i
$698$	−5.95421	−	3.82654i	−0.225370	−	0.144837i
$699$	−3.81588	+	8.35560i	−0.144330	+	0.316038i
$700$	3.76052	+	1.10419i	0.142134	+	0.0417344i
$701$	23.6922	+	27.3423i	0.894844	+	1.03270i	0.999271	+	0.0381721i	$0.0121535\pi$
$701$	23.6922	+	27.3423i	0.894844	+	1.03270i	−0.104428	+	0.994532i	$0.533301\pi$
$702$	−0.597435	−	0.689477i	−0.0225487	−	0.0260226i
$703$	3.06080	+	0.898732i	0.115440	+	0.0338963i
$704$	2.30395	−	5.04495i	0.0868335	−	0.190139i
$705$	−2.63020	−	1.69032i	−0.0990589	−	0.0636613i
$706$	24.8308	−	7.29097i	0.934518	−	0.274399i
$707$	1.05890	−	7.36481i	0.0398240	−	0.276982i
$708$	0.517557	+	1.13329i	0.0194510	+	0.0425918i
$709$	4.91380	+	34.1762i	0.184542	+	1.28351i	0.845858	+	0.533408i	$0.179089\pi$
$709$	4.91380	+	34.1762i	0.184542	+	1.28351i	−0.661317	+	0.750107i	$0.730002\pi$
$710$	9.12409	−	5.86370i	0.342421	−	0.220061i
$711$	−3.26612	+	3.76930i	−0.122489	+	0.141360i
$712$	−3.19682			−0.119806
$713$	−2.41093	+	8.70051i	−0.0902901	+	0.325837i
$714$	1.96679			0.0736053
$715$	−3.44460	+	3.97529i	−0.128821	+	0.148667i
$716$	−10.4073	+	6.68835i	−0.388938	+	0.249956i
$717$	0.627030	+	4.36109i	0.0234169	+	0.162868i
$718$	9.51442	+	20.8337i	0.355075	+	0.777506i
$719$	−6.46971	+	44.9978i	−0.241280	+	1.67814i	0.404442	+	0.914564i	$0.367466\pi$
$719$	−6.46971	+	44.9978i	−0.241280	+	1.67814i	−0.645722	+	0.763573i	$0.723443\pi$
$720$	−0.997469	+	0.292883i	−0.0371735	+	0.0109151i
$721$	3.21881	+	2.06861i	0.119875	+	0.0770389i
$722$	13.1496	−	28.7937i	0.489379	−	1.07159i
$723$	24.3601	+	7.15276i	0.905961	+	0.266014i
$724$	4.13975	+	4.77752i	0.153853	+	0.177555i
$725$	7.63370	+	8.80976i	0.283508	+	0.327186i
$726$	−18.9593	−	5.56697i	−0.703647	−	0.206609i
$727$	20.6773	−	45.2770i	0.766879	−	1.67923i	0.0334724	−	0.999440i	$-0.489343\pi$
$727$	20.6773	−	45.2770i	0.766879	−	1.67923i	0.733406	−	0.679791i	$-0.237929\pi$
$728$	0.767483	+	0.493231i	0.0284448	+	0.0182804i
$729$	−0.959493	+	0.281733i	−0.0355368	+	0.0104345i
$730$	−1.11001	+	7.72032i	−0.0410835	+	0.285742i
$731$	5.25701	+	11.5112i	0.194438	+	0.425759i
$732$	1.06379	+	7.39885i	0.0393190	+	0.273469i
$733$	1.49918	−	0.963462i	0.0553733	−	0.0355863i	−0.512661	−	0.858591i	$-0.671340\pi$
$733$	1.49918	−	0.963462i	0.0553733	−	0.0355863i	0.568035	+	0.823005i	$0.307704\pi$
$734$	−22.0357	+	25.4306i	−0.813353	+	0.938659i
$735$	1.03958			0.0383454
$736$	−4.75689	−	0.609909i	−0.175341	−	0.0224815i
$737$	−68.0208			−2.50558
$738$	−1.41189	+	1.62941i	−0.0519726	+	0.0599795i
$739$	14.5477	−	9.34922i	0.535145	−	0.343917i	−0.244993	−	0.969525i	$-0.578786\pi$
$739$	14.5477	−	9.34922i	0.535145	−	0.343917i	0.780137	+	0.625608i	$0.215149\pi$
$740$	0.0663121	+	0.461211i	0.00243768	+	0.0169544i
$741$	2.69732	+	5.90630i	0.0990884	+	0.216973i
$742$	0.271937	−	1.89136i	0.00998310	−	0.0694340i
$743$	1.22078	−	0.358452i	0.0447860	−	0.0131503i	−0.259263	−	0.965807i	$-0.583480\pi$
$743$	1.22078	−	0.358452i	0.0447860	−	0.0131503i	0.304049	+	0.952656i	$0.401661\pi$
$744$	−1.58370	−	1.01778i	−0.0580612	−	0.0373137i
$745$	−5.03711	+	11.0297i	−0.184545	+	0.404098i
$746$	−23.1413	−	6.79489i	−0.847262	−	0.248779i
$747$	0.793061	+	0.915241i	0.0290166	+	0.0334869i
$748$	−7.14329	−	8.24380i	−0.261185	−	0.301423i
$749$	−4.02638	−	1.18225i	−0.147121	−	0.0431986i
$750$	−3.85185	+	8.43437i	−0.140650	+	0.307980i
$751$	4.54073	+	2.91815i	0.165694	+	0.106485i	0.620860	−	0.783922i	$-0.286784\pi$
$751$	4.54073	+	2.91815i	0.165694	+	0.106485i	−0.455166	+	0.890407i	$0.650420\pi$
$752$	2.88566	−	0.847307i	0.105229	−	0.0308981i
$753$	2.04356	−	14.2133i	0.0744716	−	0.517961i
$754$	1.12721	+	2.46824i	0.0410505	+	0.0898880i
$755$	−1.45591	−	10.1260i	−0.0529858	−	0.368524i
$756$	0.841254	−	0.540641i	0.0305961	−	0.0196629i
$757$	−7.02885	+	8.11173i	−0.255468	+	0.294826i	−0.868967	−	0.494869i	$-0.835216\pi$
$757$	−7.02885	+	8.11173i	−0.255468	+	0.294826i	0.613499	+	0.789695i	$0.289761\pi$
$758$	−4.98454			−0.181047
$759$	0.406397	+	26.5953i	0.0147513	+	0.965348i
$760$	7.39887			0.268385
$761$	−6.67630	+	7.70486i	−0.242016	+	0.279301i	−0.863743	−	0.503933i	$-0.831886\pi$
$761$	−6.67630	+	7.70486i	−0.242016	+	0.279301i	0.621727	+	0.783234i	$0.286431\pi$
$762$	−3.24102	+	2.08288i	−0.117410	+	0.0754547i
$763$	1.90964	+	13.2819i	0.0691338	+	0.480836i
$764$	3.34011	+	7.31381i	0.120841	+	0.264604i
$765$	−0.290982	+	2.02382i	−0.0105205	+	0.0731715i
$766$	0.0718772	−	0.0211050i	0.00259703	−	0.000762556i
$767$	0.956192	+	0.614507i	0.0345261	+	0.0221886i
$768$	0.415415	−	0.909632i	0.0149900	−	0.0328235i
$769$	−31.2816	−	9.18512i	−1.12804	−	0.331224i	−0.336106	−	0.941824i	$-0.609110\pi$
$769$	−31.2816	−	9.18512i	−1.12804	−	0.331224i	−0.791939	+	0.610601i	$0.790928\pi$
$770$	−3.77570	−	4.35739i	−0.136067	−	0.157030i
$771$	−10.8095	−	12.4748i	−0.389293	−	0.449269i
$772$	−2.11879	−	0.622131i	−0.0762567	−	0.0223910i
$773$	19.7732	−	43.2973i	0.711192	−	1.55729i	−0.114658	−	0.993405i	$-0.536577\pi$
$773$	19.7732	−	43.2973i	0.711192	−	1.55729i	0.825850	−	0.563889i	$-0.190696\pi$
$774$	5.41284	+	3.47862i	0.194561	+	0.125036i
$775$	−7.07934	+	2.07868i	−0.254298	+	0.0746685i
$776$	−0.268744	+	1.86916i	−0.00964735	+	0.0670988i
$777$	−0.186195	−	0.407710i	−0.00667970	−	0.0146265i
$778$	4.67866	+	32.5408i	0.167738	+	1.16664i
$779$	12.9089	−	8.29603i	0.462508	−	0.297236i
$780$	−0.621081	+	0.716765i	−0.0222383	+	0.0256643i
$781$	57.8625			2.07048
$782$	−4.97770	+	8.01203i	−0.178002	+	0.286510i
$783$	2.97427			0.106292
$784$	−0.654861	+	0.755750i	−0.0233879	+	0.0269911i
$785$	−4.21099	+	2.70624i	−0.150297	+	0.0965899i
$786$	1.82004	+	12.6586i	0.0649185	+	0.451518i
$787$	−15.3358	−	33.5808i	−0.546663	−	1.19702i	−0.958323	−	0.285687i	$-0.907778\pi$
$787$	−15.3358	−	33.5808i	−0.546663	−	1.19702i	0.411660	−	0.911337i	$-0.364949\pi$
$788$	−1.23001	+	8.55488i	−0.0438171	+	0.304755i
$789$	−2.94801	+	0.865614i	−0.104952	+	0.0308167i
$790$	4.36181	+	2.80317i	0.155186	+	0.0997322i
$791$	−7.26491	+	15.9079i	−0.258310	+	0.565621i
$792$	−5.32149	−	1.56253i	−0.189091	−	0.0555221i
$793$	4.46579	+	5.15379i	0.158585	+	0.183017i
$794$	10.5726	+	12.2015i	0.375208	+	0.433014i
$795$	1.90597	+	0.559644i	0.0675979	+	0.0198485i
$796$	−3.53608	+	7.74293i	−0.125333	+	0.274441i
$797$	−16.6580	−	10.7055i	−0.590057	−	0.379207i	0.211275	−	0.977427i	$-0.432239\pi$
$797$	−16.6580	−	10.7055i	−0.590057	−	0.379207i	−0.801332	+	0.598220i	$0.795875\pi$
$798$	−6.82888	+	2.00514i	−0.241740	+	0.0709812i
$799$	0.841806	−	5.85489i	0.0297810	−	0.207131i
$800$	−1.62813	−	3.56510i	−0.0575630	−	0.126045i
$801$	0.454954	+	3.16428i	0.0160750	+	0.111804i
$802$	−11.1977	+	7.19633i	−0.395405	+	0.254111i
$803$	−27.2497	+	31.4478i	−0.961620	+	1.10977i
$804$	−12.2645			−0.432536
$805$	−2.63105	+	4.23489i	−0.0927322	+	0.149260i
$806$	−1.71746			−0.0604950
$807$	−4.82217	+	5.56508i	−0.169748	+	0.195900i
$808$	−6.25938	+	4.02266i	−0.220204	+	0.141517i
$809$	−2.67957	−	18.6368i	−0.0942086	−	0.655235i	−0.981135	−	0.193324i	$-0.938073\pi$
$809$	−2.67957	−	18.6368i	−0.0942086	−	0.655235i	0.886926	−	0.461911i	$-0.152836\pi$
$810$	0.431857	+	0.945634i	0.0151739	+	0.0332262i
$811$	−2.58446	+	17.9753i	−0.0907527	+	0.631199i	0.892783	+	0.450486i	$0.148749\pi$
$811$	−2.58446	+	17.9753i	−0.0907527	+	0.631199i	−0.983536	+	0.180712i	$0.942160\pi$
$812$	−2.85379	+	0.837948i	−0.100148	+	0.0294062i
$813$	11.8519	+	7.61676i	0.415665	+	0.267132i
$814$	−1.03266	+	2.26122i	−0.0361948	+	0.0792556i
$815$	−16.1003	−	4.72748i	−0.563969	−	0.165596i
$816$	−1.28797	−	1.48640i	−0.0450881	−	0.0520345i
$817$	−29.9885	−	34.6086i	−1.04917	−	1.21080i
$818$	−21.9651	−	6.44954i	−0.767992	−	0.225503i
$819$	0.378987	−	0.829865i	0.0132429	−	0.0289978i
$820$	1.88555	+	1.21177i	0.0658462	+	0.0423168i
$821$	22.8982	−	6.72353i	0.799154	−	0.234653i	0.143437	−	0.989659i	$-0.454185\pi$
$821$	22.8982	−	6.72353i	0.799154	−	0.234653i	0.655717	+	0.755007i	$0.272366\pi$
$822$	0.953557	−	6.63213i	0.0332591	−	0.231322i
$823$	3.29573	+	7.21664i	0.114882	+	0.251556i	0.958335	−	0.285646i	$-0.0922083\pi$
$823$	3.29573	+	7.21664i	0.114882	+	0.251556i	−0.843453	+	0.537203i	$0.819481\pi$
$824$	−0.544526	−	3.78726i	−0.0189695	−	0.131936i
$825$	−18.2862	+	11.7518i	−0.636645	+	0.409147i
$826$	−0.815878	+	0.941574i	−0.0283880	+	0.0327615i
$827$	9.04555			0.314544			0.157272	−	0.987555i	$-0.449730\pi$
$827$	9.04555			0.314544			0.157272	+	0.987555i	$0.449730\pi$
$828$	0.0732756	+	4.79527i	0.00254650	+	0.166647i
$829$	−31.1533			−1.08200			−0.540999	−	0.841023i	$-0.681954\pi$
$829$	−31.1533			−1.08200			−0.540999	+	0.841023i	$0.681954\pi$
$830$	0.824449	−	0.951465i	0.0286171	−	0.0330258i
$831$	5.24391	−	3.37005i	0.181909	−	0.116906i
$832$	−0.129835	−	0.903022i	−0.00450122	−	0.0313067i
$833$	0.817035	+	1.78906i	0.0283086	+	0.0619871i
$834$	−1.72531	+	11.9998i	−0.0597428	+	0.415520i
$835$	−16.2501	+	4.77145i	−0.562357	+	0.165123i
$836$	33.2067	+	21.3407i	1.14848	+	0.738083i
$837$	−0.782038	+	1.71242i	−0.0270312	+	0.0591900i
$838$	−25.6207	−	7.52291i	−0.885052	−	0.259875i
$839$	−23.7042	−	27.3561i	−0.818361	−	0.944439i	0.180876	−	0.983506i	$-0.442107\pi$
$839$	−23.7042	−	27.3561i	−0.818361	−	0.944439i	−0.999237	+	0.0390672i	$0.987561\pi$
$840$	−0.680779	−	0.785661i	−0.0234891	−	0.0271079i
$841$	19.3374	+	5.67796i	0.666806	+	0.195792i
$842$	11.1765	−	24.4731i	0.385168	−	0.843400i
$843$	10.5559	+	6.78388i	0.363565	+	0.233649i
$844$	18.6906	−	5.48806i	0.643358	−	0.188907i
$845$	1.80018	−	12.5205i	0.0619281	−	0.430719i
$846$	−1.24936	−	2.73571i	−0.0429537	−	0.0940555i
$847$	−2.81211	−	19.5586i	−0.0966251	−	0.672042i
$848$	−1.60748	+	1.03306i	−0.0552009	+	0.0354755i
$849$	18.5374	−	21.3933i	0.636202	−	0.734217i
$850$	−7.70840			−0.264396
$851$	2.13210	+	0.273369i	0.0730876	+	0.00937098i
$852$	10.4329			0.357426
$853$	−12.1063	+	13.9714i	−0.414512	+	0.478373i	−0.924157	−	0.382012i	$-0.875231\pi$
$853$	−12.1063	+	13.9714i	−0.414512	+	0.478373i	0.509645	+	0.860385i	$0.329777\pi$
$854$	−6.28831	+	4.04125i	−0.215182	+	0.138289i
$855$	−1.05297	−	7.32356i	−0.0360108	−	0.250460i
$856$	1.74323	+	3.81715i	0.0595825	+	0.130467i
$857$	−6.23692	+	43.3787i	−0.213049	+	1.48179i	0.549845	+	0.835267i	$0.314687\pi$
$857$	−6.23692	+	43.3787i	−0.213049	+	1.48179i	−0.762894	+	0.646523i	$0.776222\pi$
$858$	−4.85484	+	1.42551i	−0.165741	+	0.0486661i
$859$	19.2395	+	12.3645i	0.656444	+	0.421871i	0.826016	−	0.563647i	$-0.190602\pi$
$859$	19.2395	+	12.3645i	0.656444	+	0.421871i	−0.169572	+	0.985518i	$0.554238\pi$
$860$	2.77868	−	6.08445i	0.0947521	−	0.207478i
$861$	−2.06869	−	0.607422i	−0.0705007	−	0.0207009i
$862$	23.3427	+	26.9390i	0.795057	+	0.917545i
$863$	2.60218	+	3.00307i	0.0885791	+	0.102226i	0.798309	−	0.602248i	$-0.205728\pi$
$863$	2.60218	+	3.00307i	0.0885791	+	0.102226i	−0.709730	+	0.704474i	$0.751183\pi$
$864$	−0.959493	−	0.281733i	−0.0326426	−	0.00958474i
$865$	−4.51018	+	9.87593i	−0.153351	+	0.335792i
$866$	−27.5067	−	17.6775i	−0.934716	−	0.600705i
$867$	12.5998	−	3.69964i	0.427912	−	0.125646i
$868$	0.267914	−	1.86338i	0.00909360	−	0.0632474i
$869$	11.4910	+	25.1617i	0.389804	+	0.853552i
$870$	−0.440035	−	3.06051i	−0.0149186	−	0.103761i
$871$	−9.41280	+	6.04924i	−0.318941	+	0.204971i
$872$	8.78721	−	10.1410i	0.297573	−	0.343417i
$873$	1.88838			0.0639119
$874$	9.11481	−	32.8933i	0.308313	−	1.11263i
$875$	−9.27229			−0.313461
$876$	−4.91326	+	5.67021i	−0.166004	+	0.191579i
$877$	45.6674	−	29.3487i	1.54208	−	0.991034i	0.554809	−	0.831978i	$-0.312791\pi$
$877$	45.6674	−	29.3487i	1.54208	−	0.991034i	0.987270	−	0.159056i	$-0.0508451\pi$
$878$	0.963305	+	6.69993i	0.0325100	+	0.226112i
$879$	8.48217	+	18.5734i	0.286096	+	0.626464i
$880$	−0.820539	+	5.70697i	−0.0276603	+	0.192382i
$881$	19.5735	−	5.74731i	0.659449	−	0.193632i	0.0651496	−	0.997876i	$-0.479248\pi$
$881$	19.5735	−	5.74731i	0.659449	−	0.193632i	0.594300	+	0.804244i	$0.297429\pi$
$882$	0.841254	+	0.540641i	0.0283265	+	0.0182043i
$883$	−1.26876	+	2.77820i	−0.0426973	+	0.0934940i	−0.929779	−	0.368119i	$-0.880002\pi$
$883$	−1.26876	+	2.77820i	−0.0426973	+	0.0934940i	0.887081	+	0.461613i	$0.152729\pi$
$884$	−1.72164	−	0.505518i	−0.0579049	−	0.0170024i
$885$	−0.848170	−	0.978840i	−0.0285109	−	0.0329033i
$886$	3.92104	+	4.52512i	0.131730	+	0.152024i
$887$	4.83411	+	1.41942i	0.162314	+	0.0476596i	0.361880	−	0.932225i	$-0.382135\pi$
$887$	4.83411	+	1.41942i	0.162314	+	0.0476596i	−0.199566	+	0.979884i	$0.563953\pi$
$888$	−0.186195	+	0.407710i	−0.00624829	+	0.0136818i
$889$	−3.24102	−	2.08288i	−0.108700	−	0.0698575i
$890$	3.18872	−	0.936294i	0.106886	−	0.0313846i
$891$	−0.789299	+	5.48970i	−0.0264425	+	0.183912i
$892$	−3.13788	−	6.87100i	−0.105064	−	0.230058i
$893$	3.04622	+	21.1870i	0.101938	+	0.708995i
$894$	−9.81226	+	6.30595i	−0.328171	+	0.210903i
$895$	8.42203	−	9.71954i	0.281517	−	0.324888i
$896$	1.00000			0.0334077
$897$	2.42142	+	3.64415i	0.0808487	+	0.121674i
$898$	14.6786			0.489831
$899$	3.66669	−	4.23159i	0.122291	−	0.141131i
$900$	−3.29710	+	2.11892i	−0.109903	+	0.0706307i
$901$	0.534842	+	3.71991i	0.0178182	+	0.123928i
$902$	4.96738	+	10.8770i	0.165396	+	0.362166i
$903$	−0.915690	+	6.36876i	−0.0304723	+	0.211939i
$904$	16.7799	−	4.92703i	0.558092	−	0.163870i
$905$	−5.52852	−	3.55297i	−0.183774	−	0.118105i
$906$	4.08797	−	8.95141i	0.135814	−	0.297391i
$907$	13.3152	+	3.90970i	0.442124	+	0.129819i	0.495215	−	0.868770i	$-0.335089\pi$
$907$	13.3152	+	3.90970i	0.442124	+	0.129819i	−0.0530909	+	0.998590i	$0.516907\pi$
$908$	9.50261	+	10.9666i	0.315355	+	0.363939i
$909$	4.87252	+	5.62319i	0.161611	+	0.186509i
$910$	−0.909999	−	0.267200i	−0.0301662	−	0.00885759i
$911$	5.18368	−	11.3507i	0.171743	−	0.376065i	−0.804114	−	0.594475i	$-0.797360\pi$
$911$	5.18368	−	11.3507i	0.171743	−	0.376065i	0.975857	+	0.218410i	$0.0700872\pi$
$912$	5.98735	+	3.84784i	0.198261	+	0.127415i
$913$	6.44453	−	1.89228i	0.213283	−	0.0626254i
$914$	−5.09542	+	35.4395i	−0.168542	+	1.17223i
$915$	−3.22810	−	7.06855i	−0.106718	−	0.233679i
$916$	−2.39474	−	16.6558i	−0.0791246	−	0.550324i
$917$	−10.7586	+	6.91415i	−0.355281	+	0.228325i
$918$	−1.28797	+	1.48640i	−0.0425095	+	0.0490586i
$919$	−34.8072			−1.14818			−0.574092	−	0.818791i	$-0.694645\pi$
$919$	−34.8072			−1.14818			−0.574092	+	0.818791i	$0.694645\pi$
$920$	4.92348	−	0.784849i	0.162322	−	0.0258757i
$921$	−25.0187			−0.824394
$922$	−14.1461	+	16.3255i	−0.465878	+	0.537651i
$923$	8.00708	−	5.14584i	0.263556	−	0.169377i
$924$	−0.789299	−	5.48970i	−0.0259660	−	0.180598i
$925$	0.729749	+	1.59793i	0.0239940	+	0.0525395i
$926$	−4.78912	+	33.3091i	−0.157380	+	1.09460i
$927$	−3.67122	+	1.07797i	−0.120579	+	0.0354051i
$928$	2.50211	+	1.60801i	0.0821359	+	0.0527855i
$929$	−14.7251	+	32.2436i	−0.483116	+	1.05788i	0.498478	+	0.866902i	$0.333892\pi$
$929$	−14.7251	+	32.2436i	−0.483116	+	1.05788i	−0.981595	+	0.190975i	$0.938835\pi$
$930$	1.87778	+	0.551366i	0.0615748	+	0.0180800i
$931$	−4.66076	−	5.37881i	−0.152750	−	0.176283i
$932$	6.01535	+	6.94208i	0.197039	+	0.227396i
$933$	21.5776	+	6.33575i	0.706418	+	0.207423i
$934$	−12.6399	+	27.6774i	−0.413589	+	0.905633i
$935$	9.53968	+	6.13078i	0.311981	+	0.200498i
$936$	−0.875353	+	0.257027i	−0.0286118	+	0.00840119i
$937$	1.25539	−	8.73142i	0.0410118	−	0.285243i	−0.958987	−	0.283451i	$-0.908521\pi$
$937$	1.25539	−	8.73142i	0.0410118	−	0.285243i	0.999998	−	0.00179182i	$-0.000570353\pi$
$938$	−5.09486	−	11.1562i	−0.166353	−	0.364263i
$939$	0.335982	+	2.33680i	0.0109643	+	0.0762587i
$940$	−2.63020	+	1.69032i	−0.0857875	+	0.0551323i
$941$	14.6131	−	16.8644i	0.476373	−	0.549763i	−0.465800	−	0.884890i	$-0.654234\pi$
$941$	14.6131	−	16.8644i	0.476373	−	0.549763i	0.942173	+	0.335126i	$0.108779\pi$
$942$	−4.81504			−0.156883
$943$	7.71002	−	6.88982i	0.251073	−	0.224363i
$944$	1.24588			0.0405500
$945$	−0.680779	+	0.785661i	−0.0221458	+	0.0255576i
$946$	30.0204	−	19.2929i	0.976048	−	0.627268i
$947$	2.89719	+	20.1504i	0.0941461	+	0.654800i	0.981180	+	0.193096i	$0.0618528\pi$
$947$	2.89719	+	20.1504i	0.0941461	+	0.654800i	−0.887034	+	0.461704i	$0.847238\pi$
$948$	2.07188	+	4.53679i	0.0672916	+	0.147348i
$949$	−0.974121	+	6.77516i	−0.0316213	+	0.219931i
$950$	26.7643	−	7.85870i	0.868348	−	0.254970i
$951$	−25.2398	−	16.2206i	−0.818456	−	0.525990i
$952$	0.817035	−	1.78906i	0.0264802	−	0.0579836i
$953$	17.2560	+	5.06682i	0.558976	+	0.164130i	0.549004	−	0.835820i	$-0.315007\pi$
$953$	17.2560	+	5.06682i	0.558976	+	0.164130i	0.00997275	+	0.999950i	$0.496826\pi$
$954$	1.25131	+	1.44409i	0.0405128	+	0.0467542i
$955$	−5.47374	−	6.31704i	−0.177126	−	0.204415i
$956$	4.22747	+	1.24130i	0.136726	+	0.0401464i
$957$	6.85257	−	15.0050i	0.221512	−	0.485044i
$958$	5.08010	+	3.26478i	0.164131	+	0.105480i
$959$	6.42892	−	1.88770i	0.207601	−	0.0609571i
$960$	−0.147947	+	1.02900i	−0.00477498	+	0.0332107i
$961$	−11.4056	−	24.9749i	−0.367924	−	0.805641i
$962$	0.0581938	+	0.404747i	0.00187624	+	0.0130496i
$963$	3.53021	−	2.26873i	0.113759	−	0.0731087i
$964$	16.6259	−	19.1873i	0.535485	−	0.617983i
$965$	2.29563			0.0738990
$966$	−4.33149	+	2.05868i	−0.139363	+	0.0662370i
$967$	−41.0629			−1.32049			−0.660247	−	0.751048i	$-0.729548\pi$
$967$	−41.0629			−1.32049			−0.660247	+	0.751048i	$0.729548\pi$
$968$	−12.9399	+	14.9334i	−0.415904	+	0.479978i
$969$	11.7759	−	7.56789i	0.378295	−	0.243116i
$970$	−0.279381	−	1.94314i	−0.00897037	−	0.0623903i
$971$	12.3240	+	26.9857i	0.395495	+	0.866012i	0.997707	+	0.0676766i	$0.0215586\pi$
$971$	12.3240	+	26.9857i	0.395495	+	0.866012i	−0.602213	+	0.798336i	$0.705714\pi$
$972$	−0.142315	+	0.989821i	−0.00456475	+	0.0317485i
$973$	−11.6321	+	3.41551i	−0.372910	+	0.109496i
$974$	11.7189	+	7.53129i	0.375498	+	0.241318i
$975$	−1.48535	+	3.25247i	−0.0475694	+	0.104162i
$976$	7.17215	+	2.10593i	0.229575	+	0.0674092i
$977$	−37.0155	−	42.7182i	−1.18423	−	1.36668i	−0.914927	−	0.403620i	$-0.867752\pi$
$977$	−37.0155	−	42.7182i	−1.18423	−	1.36668i	−0.269304	−	0.963055i	$-0.586794\pi$
$978$	−10.5702	−	12.1987i	−0.337998	−	0.390071i
$979$	17.0118	+	4.99512i	0.543700	+	0.159645i
$980$	0.431857	−	0.945634i	0.0137952	−	0.0302072i
$981$	−11.2883	−	7.25456i	−0.360408	−	0.231620i
$982$	13.2778	−	3.89871i	0.423711	−	0.124413i
$983$	7.96509	−	55.3984i	0.254047	−	1.76693i	−0.319331	−	0.947643i	$-0.603458\pi$
$983$	7.96509	−	55.3984i	0.254047	−	1.76693i	0.573378	−	0.819291i	$-0.305633\pi$
$984$	0.895644	+	1.96119i	0.0285521	+	0.0625204i
$985$	−1.27869	−	8.89347i	−0.0407424	−	0.283370i
$986$	4.92113	−	3.16262i	0.156721	−	0.100718i
$987$	1.96949	−	2.27291i	0.0626894	−	0.0723474i
$988$	6.49306			0.206572
$989$	−23.6267	−	19.8488i	−0.751284	−	0.631154i
$990$	5.76566			0.183245
$991$	−35.0757	+	40.4795i	−1.11422	+	1.28587i	−0.159881	+	0.987136i	$0.551111\pi$
$991$	−35.0757	+	40.4795i	−1.11422	+	1.28587i	−0.954335	+	0.298737i	$0.903435\pi$
$992$	−1.58370	+	1.01778i	−0.0502825	+	0.0323146i
$993$	−3.03377	−	21.1003i	−0.0962738	−	0.669599i
$994$	4.33399	+	9.49011i	0.137466	+	0.301008i
$995$	1.25935	−	8.75899i	0.0399242	−	0.277679i
$996$	1.16198	−	0.341189i	0.0368188	−	0.0108110i
$997$	38.4076	+	24.6830i	1.21638	+	0.781720i	0.981715	−	0.190357i	$-0.0609644\pi$
$997$	38.4076	+	24.6830i	1.21638	+	0.781720i	0.234665	+	0.972076i	$0.424601\pi$
$998$	−16.3567	+	35.8162i	−0.517763	+	1.13374i
$999$	0.430058	+	0.126276i	0.0136064	+	0.00399521i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.q.i.85.3	✓	40
23.13	even	11	inner	966.2.q.i.841.3	yes	40

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.q.i.85.3	✓	40	1.1	even	1	trivial
966.2.q.i.841.3	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)

\(f(q)\)	\(=\)	\(q+(-0.654861 + 0.755750i) q^{2} +(0.841254 - 0.540641i) q^{3} +(-0.142315 - 0.989821i) q^{4} +(0.431857 + 0.945634i) q^{5} +(-0.142315 + 0.989821i) q^{6} +(-0.959493 + 0.281733i) q^{7} +(0.841254 + 0.540641i) q^{8} +(0.415415 - 0.909632i) q^{9} +O(q^{10})\)	\(q+(-0.654861 + 0.755750i) q^{2} +(0.841254 - 0.540641i) q^{3} +(-0.142315 - 0.989821i) q^{4} +(0.431857 + 0.945634i) 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} +(-0.997469 - 0.292883i) q^{10} +(-3.63195 - 4.19150i) q^{11} +(-0.654861 - 0.755750i) q^{12} +(-0.875353 - 0.257027i) q^{13} +(0.415415 - 0.909632i) q^{14} +(0.874549 + 0.562039i) q^{15} +(-0.959493 + 0.281733i) q^{16} +(-0.279904 + 1.94677i) q^{17} +(0.415415 + 0.909632i) q^{18} +(-1.01288 - 7.04474i) q^{19} +(0.874549 - 0.562039i) q^{20} +(-0.654861 + 0.755750i) q^{21} +5.54615 q^{22} +(-1.42129 - 4.58039i) q^{23} +1.00000 q^{24} +(2.56658 - 2.96199i) q^{25} +(0.767483 - 0.493231i) q^{26} +(-0.142315 - 0.989821i) q^{27} +(0.415415 + 0.909632i) q^{28} +(-0.423282 + 2.94399i) q^{29} +(-0.997469 + 0.292883i) q^{30} +(-1.58370 - 1.01778i) q^{31} +(0.415415 - 0.909632i) q^{32} +(-5.32149 - 1.56253i) q^{33} +(-1.28797 - 1.48640i) q^{34} +(-0.680779 - 0.785661i) q^{35} +(-0.959493 - 0.281733i) q^{36} +(-0.186195 + 0.407710i) q^{37} +(5.98735 + 3.84784i) q^{38} +(-0.875353 + 0.257027i) q^{39} +(-0.147947 + 1.02900i) q^{40} +(0.895644 + 1.96119i) q^{41} +(-0.142315 - 0.989821i) q^{42} +(5.41284 - 3.47862i) q^{43} +(-3.63195 + 4.19150i) q^{44} +1.03958 q^{45} +(4.39237 + 1.92537i) q^{46} -3.00749 q^{47} +(-0.654861 + 0.755750i) q^{48} +(0.841254 - 0.540641i) q^{49} +(0.557771 + 3.87938i) q^{50} +(0.817035 + 1.78906i) q^{51} +(-0.129835 + 0.903022i) q^{52} +(1.83341 - 0.538337i) q^{53} +(0.841254 + 0.540641i) q^{54} +(2.39514 - 5.24463i) q^{55} +(-0.959493 - 0.281733i) q^{56} +(-4.66076 - 5.37881i) q^{57} +(-1.94773 - 2.24780i) q^{58} +(-1.19541 - 0.351005i) q^{59} +(0.431857 - 0.945634i) q^{60} +(-6.28831 - 4.04125i) q^{61} +(1.80629 - 0.530374i) q^{62} +(-0.142315 + 0.989821i) q^{63} +(0.415415 + 0.909632i) q^{64} +(-0.134974 - 0.938763i) q^{65} +(4.66572 - 2.99847i) q^{66} +(8.03155 - 9.26890i) q^{67} +1.96679 q^{68} +(-3.67201 - 3.08486i) q^{69} +1.03958 q^{70} +(-6.83210 + 7.88467i) q^{71} +(0.841254 - 0.540641i) q^{72} +(-1.06775 - 7.42639i) q^{73} +(-0.186195 - 0.407710i) q^{74} +(0.557771 - 3.87938i) q^{75} +(-6.82888 + 2.00514i) q^{76} +(4.66572 + 2.99847i) q^{77} +(0.378987 - 0.829865i) q^{78} +(-4.78547 - 1.40514i) q^{79} +(-0.680779 - 0.785661i) q^{80} +(-0.654861 - 0.755750i) q^{81} +(-2.06869 - 0.607422i) q^{82} +(-0.503083 + 1.10160i) q^{83} +(0.841254 + 0.540641i) q^{84} +(-1.96181 + 0.576040i) q^{85} +(-0.915690 + 6.36876i) q^{86} +(1.23556 + 2.70549i) q^{87} +(-0.789299 - 5.48970i) q^{88} +(-2.68933 + 1.72833i) q^{89} +(-0.680779 + 0.785661i) q^{90} +0.912308 q^{91} +(-4.33149 + 2.05868i) q^{92} -1.88255 q^{93} +(1.96949 - 2.27291i) q^{94} +(6.22432 - 4.00013i) q^{95} +(-0.142315 - 0.989821i) q^{96} +(0.784460 + 1.71773i) q^{97} +(-0.142315 + 0.989821i) q^{98} +(-5.32149 + 1.56253i) 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

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