LMFDB - Embedded newform 966.2.q.j.211.1

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			211.1
Character	$\chi$	$=$	966.211
Dual form			966.2.q.j.673.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.415415 + 0.909632i) q^{2} +(0.959493 - 0.281733i) q^{3} +(-0.654861 + 0.755750i) q^{4} +(-3.48521 - 2.23981i) q^{5} +(0.654861 + 0.755750i) q^{6} +(0.142315 + 0.989821i) q^{7} +(-0.959493 - 0.281733i) q^{8} +(0.841254 - 0.540641i) q^{9} +O(q^{10})$	\(q+(0.415415 + 0.909632i) q^{2} +(0.959493 - 0.281733i) q^{3} +(-0.654861 + 0.755750i) q^{4} +(-3.48521 - 2.23981i) q^{5} +(0.654861 + 0.755750i) q^{6} +(0.142315 + 0.989821i) q^{7} +(-0.959493 - 0.281733i) q^{8} +(0.841254 - 0.540641i) q^{9} +(0.589593 - 4.10071i) q^{10} +(0.455982 - 0.998462i) q^{11} +(-0.415415 + 0.909632i) q^{12} +(-0.581346 + 4.04335i) q^{13} +(-0.841254 + 0.540641i) q^{14} +(-3.97506 - 1.16718i) q^{15} +(-0.142315 - 0.989821i) q^{16} +(4.67379 + 5.39384i) q^{17} +(0.841254 + 0.540641i) q^{18} +(-4.33050 + 4.99767i) q^{19} +(3.97506 - 1.16718i) q^{20} +(0.415415 + 0.909632i) q^{21} +1.09765 q^{22} +(2.97500 + 3.76157i) q^{23} -1.00000 q^{24} +(5.05287 + 11.0642i) q^{25} +(-3.91946 + 1.15086i) q^{26} +(0.654861 - 0.755750i) q^{27} +(-0.841254 - 0.540641i) q^{28} +(-1.47865 - 1.70646i) q^{29} +(-0.589593 - 4.10071i) q^{30} +(7.61356 + 2.23554i) q^{31} +(0.841254 - 0.540641i) q^{32} +(0.156213 - 1.08648i) q^{33} +(-2.96485 + 6.49211i) q^{34} +(1.72101 - 3.76849i) q^{35} +(-0.142315 + 0.989821i) q^{36} +(-1.40423 + 0.902443i) q^{37} +(-6.34499 - 1.86306i) q^{38} +(0.581346 + 4.04335i) q^{39} +(2.71301 + 3.13098i) q^{40} +(0.991577 + 0.637248i) q^{41} +(-0.654861 + 0.755750i) q^{42} +(-3.74273 + 1.09897i) q^{43} +(0.455982 + 0.998462i) q^{44} -4.14288 q^{45} +(-2.18578 + 4.26877i) q^{46} -3.81848 q^{47} +(-0.415415 - 0.909632i) q^{48} +(-0.959493 + 0.281733i) q^{49} +(-7.96535 + 9.19250i) q^{50} +(6.00409 + 3.85859i) q^{51} +(-2.67506 - 3.08718i) q^{52} +(-1.68958 - 11.7513i) q^{53} +(0.959493 + 0.281733i) q^{54} +(-3.82556 + 2.45854i) q^{55} +(0.142315 - 0.989821i) q^{56} +(-2.74708 + 6.01527i) q^{57} +(0.937993 - 2.05392i) q^{58} +(-0.203384 + 1.41456i) q^{59} +(3.48521 - 2.23981i) q^{60} +(-4.03214 - 1.18394i) q^{61} +(1.12927 + 7.85422i) q^{62} +(0.654861 + 0.755750i) q^{63} +(0.841254 + 0.540641i) q^{64} +(11.0824 - 12.7898i) q^{65} +(1.05319 - 0.309245i) q^{66} +(1.61153 + 3.52876i) q^{67} -7.13707 q^{68} +(3.91425 + 2.77104i) q^{69} +4.14288 q^{70} +(2.74556 + 6.01193i) q^{71} +(-0.959493 + 0.281733i) q^{72} +(-8.19848 + 9.46155i) q^{73} +(-1.40423 - 0.902443i) q^{74} +(7.96535 + 9.19250i) q^{75} +(-0.941108 - 6.54555i) q^{76} +(1.05319 + 0.309245i) q^{77} +(-3.43646 + 2.20848i) q^{78} +(2.11814 - 14.7320i) q^{79} +(-1.72101 + 3.76849i) q^{80} +(0.415415 - 0.909632i) q^{81} +(-0.167745 + 1.16669i) q^{82} +(-11.4032 + 7.32839i) q^{83} +(-0.959493 - 0.281733i) q^{84} +(-4.20797 - 29.2670i) q^{85} +(-2.55444 - 2.94798i) q^{86} +(-1.89952 - 1.22075i) q^{87} +(-0.718811 + 0.829552i) q^{88} +(10.6853 - 3.13749i) q^{89} +(-1.72101 - 3.76849i) q^{90} -4.08493 q^{91} +(-4.79101 - 0.214947i) q^{92} +7.93498 q^{93} +(-1.58625 - 3.47341i) q^{94} +(26.2865 - 7.71842i) q^{95} +(0.654861 - 0.755750i) q^{96} +(1.07512 + 0.690937i) q^{97} +(-0.654861 - 0.755750i) q^{98} +(-0.156213 - 1.08648i) 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	\( 40 q - 4 q^{2} + 4 q^{3} - 4 q^{4} - 4 q^{5} + 4 q^{6} + 4 q^{7} - 4 q^{8} - 4 q^{9} - 4 q^{10} - 11 q^{11} + 4 q^{12} - 20 q^{13} + 4 q^{14} - 7 q^{15} - 4 q^{16} + 5 q^{17} - 4 q^{18} + 44 q^{19} + 7 q^{20} - 4 q^{21} + 22 q^{22} - 6 q^{23} - 40 q^{24} + 2 q^{25} + 24 q^{26} + 4 q^{27} + 4 q^{28} + 35 q^{29} + 4 q^{30} - 2 q^{31} - 4 q^{32} - 11 q^{33} + 5 q^{34} - 7 q^{35} - 4 q^{36} + 20 q^{37} - 11 q^{38} + 20 q^{39} - 4 q^{40} + 11 q^{41} - 4 q^{42} - 42 q^{43} - 11 q^{44} - 4 q^{45} - 6 q^{46} + 40 q^{47} + 4 q^{48} - 4 q^{49} - 53 q^{50} + 17 q^{51} - 9 q^{52} - 32 q^{53} + 4 q^{54} + 29 q^{55} + 4 q^{56} - 11 q^{57} - 31 q^{58} - 25 q^{59} + 4 q^{60} - 30 q^{61} - 24 q^{62} + 4 q^{63} - 4 q^{64} + 80 q^{65} - 88 q^{67} - 28 q^{68} + 6 q^{69} + 4 q^{70} - 45 q^{71} - 4 q^{72} - 39 q^{73} + 20 q^{74} + 53 q^{75} - 22 q^{76} - 2 q^{78} + 26 q^{79} + 7 q^{80} - 4 q^{81} + 22 q^{83} - 4 q^{84} + 77 q^{85} - 31 q^{86} + 9 q^{87} - 11 q^{88} + 20 q^{89} + 7 q^{90} - 24 q^{91} - 17 q^{92} - 42 q^{93} - 26 q^{94} + 84 q^{95} + 4 q^{96} + 74 q^{97} - 4 q^{98} + 11 q^{99}+O(q^{100}) \) 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 - 11 * q^11 + 4 * q^12 - 20 * q^13 + 4 * q^14 - 7 * q^15 - 4 * q^16 + 5 * q^17 - 4 * q^18 + 44 * q^19 + 7 * q^20 - 4 * q^21 + 22 * q^22 - 6 * q^23 - 40 * q^24 + 2 * q^25 + 24 * q^26 + 4 * q^27 + 4 * q^28 + 35 * q^29 + 4 * q^30 - 2 * q^31 - 4 * q^32 - 11 * q^33 + 5 * q^34 - 7 * q^35 - 4 * q^36 + 20 * q^37 - 11 * q^38 + 20 * q^39 - 4 * q^40 + 11 * q^41 - 4 * q^42 - 42 * q^43 - 11 * q^44 - 4 * q^45 - 6 * q^46 + 40 * q^47 + 4 * q^48 - 4 * q^49 - 53 * q^50 + 17 * q^51 - 9 * q^52 - 32 * q^53 + 4 * q^54 + 29 * q^55 + 4 * q^56 - 11 * q^57 - 31 * q^58 - 25 * q^59 + 4 * q^60 - 30 * q^61 - 24 * q^62 + 4 * q^63 - 4 * q^64 + 80 * q^65 - 88 * q^67 - 28 * q^68 + 6 * q^69 + 4 * q^70 - 45 * q^71 - 4 * q^72 - 39 * q^73 + 20 * q^74 + 53 * q^75 - 22 * q^76 - 2 * q^78 + 26 * q^79 + 7 * q^80 - 4 * q^81 + 22 * q^83 - 4 * q^84 + 77 * q^85 - 31 * q^86 + 9 * q^87 - 11 * q^88 + 20 * q^89 + 7 * q^90 - 24 * q^91 - 17 * q^92 - 42 * q^93 - 26 * q^94 + 84 * q^95 + 4 * q^96 + 74 * q^97 - 4 * q^98 + 11 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$323$	$829$	$925$
$\chi(n)$	$1$	$1$	$e\left(\frac{2}{11}\right)$

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 $

$2$	0.415415	+	0.909632i	0.293743	+	0.643207i
$2$	0.415415	+	0.909632i	0.293743	+	0.643207i
$3$	0.959493	−	0.281733i	0.553964	−	0.162658i
$3$	0.959493	−	0.281733i	0.553964	−	0.162658i
$4$	−0.654861	+	0.755750i	−0.327430	+	0.377875i
$5$	−3.48521	−	2.23981i	−1.55863	−	1.00167i	−0.982923	−	0.184019i	$-0.941089\pi$
$5$	−3.48521	−	2.23981i	−1.55863	−	1.00167i	−0.575710	−	0.817654i	$-0.695274\pi$
$6$	0.654861	+	0.755750i	0.267346	+	0.308533i
$7$	0.142315	+	0.989821i	0.0537900	+	0.374117i
$7$	0.142315	+	0.989821i	0.0537900	+	0.374117i
$8$	−0.959493	−	0.281733i	−0.339232	−	0.0996075i
$9$	0.841254	−	0.540641i	0.280418	−	0.180214i
$10$	0.589593	−	4.10071i	0.186446	−	1.29676i
$11$	0.455982	−	0.998462i	0.137484	−	0.301048i	−0.828349	−	0.560212i	$-0.810720\pi$
$11$	0.455982	−	0.998462i	0.137484	−	0.301048i	0.965833	+	0.259164i	$0.0834471\pi$
$12$	−0.415415	+	0.909632i	−0.119920	+	0.262588i
$13$	−0.581346	+	4.04335i	−0.161236	+	1.12142i	0.735071	+	0.677990i	$0.237149\pi$
$13$	−0.581346	+	4.04335i	−0.161236	+	1.12142i	−0.896308	+	0.443433i	$0.853760\pi$
$14$	−0.841254	+	0.540641i	−0.224834	+	0.144492i
$15$	−3.97506	−	1.16718i	−1.02636	−	0.301365i
$16$	−0.142315	−	0.989821i	−0.0355787	−	0.247455i
$17$	4.67379	+	5.39384i	1.13356	+	1.30820i	0.945346	+	0.326070i	$0.105725\pi$
$17$	4.67379	+	5.39384i	1.13356	+	1.30820i	0.188215	+	0.982128i	$0.439730\pi$
$18$	0.841254	+	0.540641i	0.198285	+	0.127430i
$19$	−4.33050	+	4.99767i	−0.993485	+	1.14654i	−0.00428249	+	0.999991i	$0.501363\pi$
$19$	−4.33050	+	4.99767i	−0.993485	+	1.14654i	−0.989203	+	0.146552i	$0.953182\pi$
$20$	3.97506	−	1.16718i	0.888851	−	0.260990i
$21$	0.415415	+	0.909632i	0.0906510	+	0.198498i
$22$	1.09765			0.234021
$23$	2.97500	+	3.76157i	0.620330	+	0.784341i
$23$	2.97500	+	3.76157i	0.620330	+	0.784341i
$24$	−1.00000			−0.204124
$25$	5.05287	+	11.0642i	1.01057	+	2.21285i
$26$	−3.91946	+	1.15086i	−0.768669	+	0.225702i
$27$	0.654861	−	0.755750i	0.126028	−	0.145444i
$28$	−0.841254	−	0.540641i	−0.158982	−	0.102172i
$29$	−1.47865	−	1.70646i	−0.274579	−	0.316881i	0.601665	−	0.798748i	$-0.294504\pi$
$29$	−1.47865	−	1.70646i	−0.274579	−	0.316881i	−0.876244	+	0.481867i	$0.839959\pi$
$30$	−0.589593	−	4.10071i	−0.107644	−	0.748683i
$31$	7.61356	+	2.23554i	1.36744	+	0.401515i	0.881378	−	0.472411i	$-0.156616\pi$
$31$	7.61356	+	2.23554i	1.36744	+	0.401515i	0.486058	+	0.873927i	$0.338435\pi$
$32$	0.841254	−	0.540641i	0.148714	−	0.0955727i
$33$	0.156213	−	1.08648i	0.0271931	−	0.189132i
$34$	−2.96485	+	6.49211i	−0.508467	+	1.11339i
$35$	1.72101	−	3.76849i	0.290904	−	0.636992i
$36$	−0.142315	+	0.989821i	−0.0237191	+	0.164970i
$37$	−1.40423	+	0.902443i	−0.230854	+	0.148361i	−0.650954	−	0.759117i	$-0.725631\pi$
$37$	−1.40423	+	0.902443i	−0.230854	+	0.148361i	0.420101	+	0.907478i	$0.361995\pi$
$38$	−6.34499	−	1.86306i	−1.02929	−	0.302228i
$39$	0.581346	+	4.04335i	0.0930898	+	0.647454i
$40$	2.71301	+	3.13098i	0.428964	+	0.495051i
$41$	0.991577	+	0.637248i	0.154858	+	0.0995214i	0.615775	−	0.787922i	$-0.288843\pi$
$41$	0.991577	+	0.637248i	0.154858	+	0.0995214i	−0.460917	+	0.887443i	$0.652479\pi$
$42$	−0.654861	+	0.755750i	−0.101047	+	0.116615i
$43$	−3.74273	+	1.09897i	−0.570762	+	0.167591i	−0.554363	−	0.832275i	$-0.687038\pi$
$43$	−3.74273	+	1.09897i	−0.570762	+	0.167591i	−0.0163984	+	0.999866i	$0.505220\pi$
$44$	0.455982	+	0.998462i	0.0687419	+	0.150524i
$45$	−4.14288			−0.617584
$46$	−2.18578	+	4.26877i	−0.322276	+	0.629395i
$47$	−3.81848			−0.556982			−0.278491	−	0.960439i	$-0.589834\pi$
$47$	−3.81848			−0.556982			−0.278491	+	0.960439i	$0.589834\pi$
$48$	−0.415415	−	0.909632i	−0.0599600	−	0.131294i
$49$	−0.959493	+	0.281733i	−0.137070	+	0.0402475i
$50$	−7.96535	+	9.19250i	−1.12647	+	1.30002i
$51$	6.00409	+	3.85859i	0.840740	+	0.540311i
$52$	−2.67506	−	3.08718i	−0.370964	−	0.428115i
$53$	−1.68958	−	11.7513i	−0.232081	−	1.61416i	−0.689074	−	0.724691i	$-0.741982\pi$
$53$	−1.68958	−	11.7513i	−0.232081	−	1.61416i	0.456992	−	0.889471i	$-0.348927\pi$
$54$	0.959493	+	0.281733i	0.130570	+	0.0383389i
$55$	−3.82556	+	2.45854i	−0.515838	+	0.331509i
$56$	0.142315	−	0.989821i	0.0190176	−	0.132270i
$57$	−2.74708	+	6.01527i	−0.363860	+	0.796742i
$58$	0.937993	−	2.05392i	0.123164	−	0.269693i
$59$	−0.203384	+	1.41456i	−0.0264783	+	0.184160i	−0.998768	−	0.0496175i	$-0.984200\pi$
$59$	−0.203384	+	1.41456i	−0.0264783	+	0.184160i	0.972290	+	0.233778i	$0.0751089\pi$
$60$	3.48521	−	2.23981i	0.449939	−	0.289158i
$61$	−4.03214	−	1.18394i	−0.516262	−	0.151588i	0.0132146	−	0.999913i	$-0.495794\pi$
$61$	−4.03214	−	1.18394i	−0.516262	−	0.151588i	−0.529477	+	0.848324i	$0.677612\pi$
$62$	1.12927	+	7.85422i	0.143417	+	0.997486i
$63$	0.654861	+	0.755750i	0.0825047	+	0.0952155i
$64$	0.841254	+	0.540641i	0.105157	+	0.0675801i
$65$	11.0824	−	12.7898i	1.37461	−	1.58638i
$66$	1.05319	−	0.309245i	0.129639	−	0.0380654i
$67$	1.61153	+	3.52876i	0.196880	+	0.431107i	0.982163	−	0.188029i	$-0.0602100\pi$
$67$	1.61153	+	3.52876i	0.196880	+	0.431107i	−0.785283	+	0.619136i	$0.787483\pi$
$68$	−7.13707			−0.865497
$69$	3.91425	+	2.77104i	0.471220	+	0.333594i
$70$	4.14288			0.495168
$71$	2.74556	+	6.01193i	0.325838	+	0.713485i	0.999678	−	0.0253924i	$-0.00808352\pi$
$71$	2.74556	+	6.01193i	0.325838	+	0.713485i	−0.673840	+	0.738877i	$0.735356\pi$
$72$	−0.959493	+	0.281733i	−0.113077	+	0.0332025i
$73$	−8.19848	+	9.46155i	−0.959560	+	1.10739i	0.0345924	+	0.999402i	$0.488987\pi$
$73$	−8.19848	+	9.46155i	−0.959560	+	1.10739i	−0.994152	+	0.107989i	$0.965559\pi$
$74$	−1.40423	−	0.902443i	−0.163238	−	0.104907i
$75$	7.96535	+	9.19250i	0.919759	+	1.06146i
$76$	−0.941108	−	6.54555i	−0.107953	−	0.750826i
$77$	1.05319	+	0.309245i	0.120022	+	0.0352417i
$78$	−3.43646	+	2.20848i	−0.389102	+	0.250061i
$79$	2.11814	−	14.7320i	0.238309	−	1.65748i	−0.422084	−	0.906557i	$-0.638701\pi$
$79$	2.11814	−	14.7320i	0.238309	−	1.65748i	0.660393	−	0.750920i	$-0.270390\pi$
$80$	−1.72101	+	3.76849i	−0.192415	+	0.421330i
$81$	0.415415	−	0.909632i	0.0461572	−	0.101070i
$82$	−0.167745	+	1.16669i	−0.0185243	+	0.128840i
$83$	−11.4032	+	7.32839i	−1.25166	+	0.804396i	−0.987121	−	0.159978i	$-0.948858\pi$
$83$	−11.4032	+	7.32839i	−1.25166	+	0.804396i	−0.264544	+	0.964374i	$0.585221\pi$
$84$	−0.959493	−	0.281733i	−0.104689	−	0.0307395i
$85$	−4.20797	−	29.2670i	−0.456418	−	3.17446i
$86$	−2.55444	−	2.94798i	−0.275453	−	0.317889i
$87$	−1.89952	−	1.22075i	−0.203650	−	0.130878i
$88$	−0.718811	+	0.829552i	−0.0766255	+	0.0884305i
$89$	10.6853	−	3.13749i	1.13264	−	0.332573i	0.338896	−	0.940824i	$-0.389947\pi$
$89$	10.6853	−	3.13749i	1.13264	−	0.332573i	0.793745	+	0.608250i	$0.208128\pi$
$90$	−1.72101	−	3.76849i	−0.181411	−	0.397234i
$91$	−4.08493			−0.428217
$92$	−4.79101	−	0.214947i	−0.499498	−	0.0224097i
$93$	7.93498			0.822819
$94$	−1.58625	−	3.47341i	−0.163610	−	0.358255i
$95$	26.2865	−	7.71842i	2.69694	−	0.791893i
$96$	0.654861	−	0.755750i	0.0668364	−	0.0771334i
$97$	1.07512	+	0.690937i	0.109162	+	0.0701540i	0.594083	−	0.804404i	$-0.297515\pi$
$97$	1.07512	+	0.690937i	0.109162	+	0.0701540i	−0.484921	+	0.874558i	$0.661152\pi$
$98$	−0.654861	−	0.755750i	−0.0661509	−	0.0763422i
$99$	−0.156213	−	1.08648i	−0.0157000	−	0.109196i
$100$	−11.6707	−	3.42683i	−1.16707	−	0.342683i
$101$	4.59896	−	2.95558i	0.457614	−	0.294091i	−0.291453	−	0.956585i	$-0.594139\pi$
$101$	4.59896	−	2.95558i	0.457614	−	0.294091i	0.749067	+	0.662495i	$0.230502\pi$
$102$	−1.01571	+	7.06443i	−0.100570	+	0.699482i
$103$	−5.94472	+	13.0171i	−0.585750	+	1.28261i	0.352226	+	0.935915i	$0.385425\pi$
$103$	−5.94472	+	13.0171i	−0.585750	+	1.28261i	−0.937976	+	0.346700i	$0.887302\pi$
$104$	1.69694	−	3.71578i	0.166399	−	0.364362i
$105$	0.589593	−	4.10071i	0.0575384	−	0.400188i
$106$	9.98746	−	6.41855i	0.970068	−	0.623425i
$107$	7.20617	+	2.11592i	0.696647	+	0.204554i	0.610836	−	0.791757i	$-0.290834\pi$
$107$	7.20617	+	2.11592i	0.696647	+	0.204554i	0.0858112	+	0.996311i	$0.472652\pi$
$108$	0.142315	+	0.989821i	0.0136943	+	0.0952456i
$109$	−4.09663	−	4.72776i	−0.392386	−	0.452838i	0.524842	−	0.851199i	$-0.324124\pi$
$109$	−4.09663	−	4.72776i	−0.392386	−	0.452838i	−0.917228	+	0.398362i	$0.869579\pi$
$110$	−3.82556	−	2.45854i	−0.364752	−	0.234412i
$111$	−1.09310	+	1.26151i	−0.103753	+	0.119737i
$112$	0.959493	−	0.281733i	0.0906636	−	0.0266212i
$113$	−4.04208	−	8.85093i	−0.380247	−	0.832625i	−0.998897	−	0.0469581i	$-0.985047\pi$
$113$	−4.04208	−	8.85093i	−0.380247	−	0.832625i	0.618650	−	0.785667i	$-0.287680\pi$
$114$	−6.61286			−0.619351
$115$	−1.94331	−	19.7733i	−0.181215	−	1.84387i
$116$	2.25796			0.209647
$117$	1.69694	+	3.71578i	0.156882	+	0.343524i
$118$	−1.37122	+	0.402627i	−0.126231	+	0.0370648i
$119$	−4.67379	+	5.39384i	−0.428445	+	0.494452i
$120$	3.48521	+	2.23981i	0.318155	+	0.204466i
$121$	6.41446	+	7.40268i	0.583133	+	0.672971i
$122$	−0.598058	−	4.15959i	−0.0541457	−	0.376591i
$123$	1.13094	+	0.332075i	0.101974	+	0.0299422i
$124$	−6.67533	+	4.28998i	−0.599463	+	0.385251i
$125$	4.22350	−	29.3751i	0.377762	−	2.62739i
$126$	−0.415415	+	0.909632i	−0.0370081	+	0.0810365i
$127$	−0.598653	+	1.31087i	−0.0531218	+	0.116321i	−0.934332	−	0.356405i	$-0.884002\pi$
$127$	−0.598653	+	1.31087i	−0.0531218	+	0.116321i	0.881210	+	0.472725i	$0.156730\pi$
$128$	−0.142315	+	0.989821i	−0.0125790	+	0.0874887i
$129$	−3.28151	+	2.10890i	−0.288921	+	0.185678i
$130$	16.2378	+	4.76786i	1.42415	+	0.418169i
$131$	0.493208	+	3.43034i	0.0430918	+	0.299710i	0.999958	+	0.00918054i	$0.00292230\pi$
$131$	0.493208	+	3.43034i	0.0430918	+	0.299710i	−0.956866	+	0.290529i	$0.906169\pi$
$132$	0.718811	+	0.829552i	0.0625645	+	0.0722032i
$133$	−5.56309	−	3.57518i	−0.482381	−	0.310008i
$134$	−2.54042	+	2.93180i	−0.219459	+	0.253269i
$135$	−3.97506	+	1.16718i	−0.342119	+	0.100455i
$136$	−2.96485	−	6.49211i	−0.254234	−	0.556694i
$137$	−3.57628			−0.305542			−0.152771	−	0.988262i	$-0.548820\pi$
$137$	−3.57628			−0.305542			−0.152771	+	0.988262i	$0.548820\pi$
$138$	−0.894591	+	4.71166i	−0.0761526	+	0.401083i
$139$	−6.16685			−0.523065			−0.261533	−	0.965195i	$-0.584228\pi$
$139$	−6.16685			−0.523065			−0.261533	+	0.965195i	$0.584228\pi$
$140$	1.72101	+	3.76849i	0.145452	+	0.318496i
$141$	−3.66380	+	1.07579i	−0.308548	+	0.0905978i
$142$	−4.32810	+	4.99489i	−0.363206	+	0.419162i
$143$	3.77204	+	2.42415i	0.315434	+	0.202717i
$144$	−0.654861	−	0.755750i	−0.0545717	−	0.0629791i
$145$	1.33128	+	9.25925i	0.110557	+	0.768939i
$146$	−12.0123	−	3.52713i	−0.994145	−	0.291907i
$147$	−0.841254	+	0.540641i	−0.0693854	+	0.0445913i
$148$	0.237553	−	1.65222i	0.0195268	−	0.135812i
$149$	−2.35263	+	5.15155i	−0.192735	+	0.422031i	−0.981186	−	0.193067i	$-0.938156\pi$
$149$	−2.35263	+	5.15155i	−0.192735	+	0.422031i	0.788450	+	0.615099i	$0.210884\pi$
$150$	−5.05287	+	11.0642i	−0.412565	+	0.903391i
$151$	1.98633	−	13.8152i	0.161645	−	1.12427i	−0.733887	−	0.679271i	$-0.762296\pi$
$151$	1.98633	−	13.8152i	0.161645	−	1.12427i	0.895532	−	0.444996i	$-0.146795\pi$
$152$	5.56309	−	3.57518i	0.451226	−	0.289986i
$153$	6.84797	+	2.01075i	0.553626	+	0.162559i
$154$	0.156213	+	1.08648i	0.0125880	+	0.0875512i
$155$	−21.5277	−	24.8442i	−1.72914	−	1.99554i
$156$	−3.43646	−	2.20848i	−0.275137	−	0.176820i
$157$	−11.0708	+	12.7764i	−0.883549	+	1.01967i	0.116101	+	0.993237i	$0.462960\pi$
$157$	−11.0708	+	12.7764i	−0.883549	+	1.01967i	−0.999651	+	0.0264328i	$0.991585\pi$
$158$	14.2806	−	4.19316i	1.13610	−	0.333590i
$159$	−4.93186	−	10.7993i	−0.391122	−	0.856437i
$160$	−4.14288			−0.327523
$161$	−3.29989	+	3.48005i	−0.260068	+	0.274266i
$162$	1.00000			0.0785674
$163$	10.3091	+	22.5738i	0.807472	+	1.76812i	0.617912	+	0.786247i	$0.287979\pi$
$163$	10.3091	+	22.5738i	0.807472	+	1.76812i	0.189560	+	0.981869i	$0.439294\pi$
$164$	−1.13094	+	0.332075i	−0.0883119	+	0.0259307i
$165$	−2.97794	+	3.43673i	−0.231833	+	0.267549i
$166$	−11.4032	−	7.32839i	−0.885060	−	0.568794i
$167$	3.01212	+	3.47617i	0.233085	+	0.268994i	0.860228	−	0.509910i	$-0.170321\pi$
$167$	3.01212	+	3.47617i	0.233085	+	0.268994i	−0.627143	+	0.778904i	$0.715776\pi$
$168$	−0.142315	−	0.989821i	−0.0109798	−	0.0763664i
$169$	−3.53729	−	1.03864i	−0.272099	−	0.0798955i
$170$	24.8742	−	15.9857i	1.90776	−	1.22605i
$171$	−0.941108	+	6.54555i	−0.0719683	+	0.500551i
$172$	1.62043	−	3.54824i	0.123556	−	0.270551i
$173$	−1.35741	+	2.97231i	−0.103202	+	0.225981i	−0.954188	−	0.299207i	$-0.903278\pi$
$173$	−1.35741	+	2.97231i	−0.103202	+	0.225981i	0.850986	+	0.525188i	$0.176005\pi$
$174$	0.321342	−	2.23498i	0.0243609	−	0.169434i
$175$	−10.2325	+	6.57604i	−0.773506	+	0.497102i
$176$	−1.05319	−	0.309245i	−0.0793873	−	0.0233102i
$177$	0.203384	+	1.41456i	0.0152872	+	0.106325i
$178$	7.29280	+	8.41634i	0.546619	+	0.630832i
$179$	16.6025	+	10.6698i	1.24093	+	0.797498i	0.985557	−	0.169345i	$-0.0541651\pi$
$179$	16.6025	+	10.6698i	1.24093	+	0.797498i	0.255374	+	0.966842i	$0.417801\pi$
$180$	2.71301	−	3.13098i	0.202216	−	0.233369i
$181$	1.40898	−	0.413713i	0.104728	−	0.0307510i	−0.228948	−	0.973439i	$-0.573529\pi$
$181$	1.40898	−	0.413713i	0.104728	−	0.0307510i	0.333677	+	0.942687i	$0.391711\pi$
$182$	−1.69694	−	3.71578i	−0.125786	−	0.275432i
$183$	−4.20236			−0.310647
$184$	−1.79474	−	4.44735i	−0.132310	−	0.327863i
$185$	6.91533			0.508425
$186$	3.29631	+	7.21791i	0.241697	+	0.529243i
$187$	7.51671	−	2.20710i	0.549676	−	0.161399i
$188$	2.50057	−	2.88581i	0.182373	−	0.210470i
$189$	0.841254	+	0.540641i	0.0611922	+	0.0393258i
$190$	17.9407	+	20.7047i	1.30156	+	1.50208i
$191$	−2.32618	−	16.1789i	−0.168316	−	1.17067i	−0.882364	−	0.470568i	$-0.844049\pi$
$191$	−2.32618	−	16.1789i	−0.168316	−	1.17067i	0.714047	−	0.700097i	$-0.246860\pi$
$192$	0.959493	+	0.281733i	0.0692454	+	0.0203323i
$193$	−2.98696	+	1.91960i	−0.215006	+	0.138176i	−0.643711	−	0.765269i	$-0.722606\pi$
$193$	−2.98696	+	1.91960i	−0.215006	+	0.138176i	0.428705	+	0.903444i	$0.358970\pi$
$194$	−0.181878	+	1.26499i	−0.0130581	+	0.0908208i
$195$	7.03021	−	15.3940i	0.503444	−	1.10239i
$196$	0.415415	−	0.909632i	0.0296725	−	0.0649737i
$197$	−1.77803	+	12.3665i	−0.126680	+	0.881075i	0.823042	+	0.567980i	$0.192275\pi$
$197$	−1.77803	+	12.3665i	−0.126680	+	0.881075i	−0.949722	+	0.313095i	$0.898634\pi$
$198$	0.923406	−	0.593437i	0.0656236	−	0.0421737i
$199$	1.81066	+	0.531658i	0.128354	+	0.0376883i	0.345279	−	0.938500i	$-0.387784\pi$
$199$	1.81066	+	0.531658i	0.128354	+	0.0376883i	−0.216924	+	0.976188i	$0.569603\pi$
$200$	−1.73104	−	12.0396i	−0.122403	−	0.851330i
$201$	2.54042	+	2.93180i	0.179188	+	0.206793i
$202$	4.59896	+	2.95558i	0.323582	+	0.207954i
$203$	1.47865	−	1.70646i	0.103781	−	0.119770i
$204$	−6.84797	+	2.01075i	−0.479454	+	0.140780i
$205$	−2.02854	−	4.44188i	−0.141679	−	0.310235i
$206$	−14.3103			−0.997047
$207$	4.53639	+	1.55602i	0.315301	+	0.108151i
$208$	4.08493			0.283239
$209$	3.01535	+	6.60269i	0.208576	+	0.456717i
$210$	3.97506	−	1.16718i	0.274305	−	0.0805433i
$211$	17.2767	−	19.9384i	1.18938	−	1.37262i	0.278243	−	0.960511i	$-0.410248\pi$
$211$	17.2767	−	19.9384i	1.18938	−	1.37262i	0.911136	−	0.412106i	$-0.135207\pi$
$212$	9.98746	+	6.41855i	0.685942	+	0.440828i
$213$	4.32810	+	4.99489i	0.296557	+	0.342244i
$214$	1.06884	+	7.43395i	0.0730644	+	0.508174i
$215$	15.5057	+	4.55288i	1.05748	+	0.310504i
$216$	−0.841254	+	0.540641i	−0.0572401	+	0.0367859i
$217$	−1.12927	+	7.85422i	−0.0766596	+	0.533179i
$218$	2.59872	−	5.69041i	0.176008	−	0.385403i
$219$	−5.20076	+	11.3881i	−0.351435	+	0.769535i
$220$	0.647169	−	4.50116i	0.0436321	−	0.303468i
$221$	−24.5263	+	15.7621i	−1.64981	+	1.06027i
$222$	−1.60160	−	0.470271i	−0.107492	−	0.0315625i
$223$	−2.93974	−	20.4464i	−0.196860	−	1.36919i	−0.813326	−	0.581809i	$-0.802345\pi$
$223$	−2.93974	−	20.4464i	−0.196860	−	1.36919i	0.616466	−	0.787382i	$-0.288564\pi$
$224$	0.654861	+	0.755750i	0.0437547	+	0.0504956i
$225$	10.2325	+	6.57604i	0.682168	+	0.438403i
$226$	6.37194	−	7.35361i	0.423855	−	0.489155i
$227$	−1.21419	+	0.356517i	−0.0805883	+	0.0236629i	−0.321778	−	0.946815i	$-0.604281\pi$
$227$	−1.21419	+	0.356517i	−0.0805883	+	0.0236629i	0.241190	+	0.970478i	$0.422462\pi$
$228$	−2.74708	−	6.01527i	−0.181930	−	0.398371i
$229$	16.6946			1.10321			0.551604	−	0.834106i	$-0.314016\pi$
$229$	16.6946			1.10321			0.551604	+	0.834106i	$0.314016\pi$
$230$	17.1791	−	9.98181i	1.13276	−	0.658181i
$231$	1.09765			0.0722204
$232$	0.937993	+	2.05392i	0.0615822	+	0.134846i
$233$	−19.5976	+	5.75438i	−1.28388	+	0.376982i	−0.851332	−	0.524628i	$-0.824204\pi$
$233$	−19.5976	+	5.75438i	−1.28388	+	0.376982i	−0.432550	+	0.901610i	$0.642386\pi$
$234$	−2.67506	+	3.08718i	−0.174874	+	0.201815i
$235$	13.3082	+	8.55266i	0.868131	+	0.557914i
$236$	−0.935868	−	1.08005i	−0.0609198	−	0.0703052i
$237$	−2.11814	−	14.7320i	−0.137588	−	0.956945i
$238$	−6.84797	−	2.01075i	−0.443888	−	0.130337i
$239$	−4.35697	+	2.80006i	−0.281829	+	0.181121i	−0.673917	−	0.738807i	$-0.735389\pi$
$239$	−4.35697	+	2.80006i	−0.281829	+	0.181121i	0.392088	+	0.919928i	$0.371753\pi$
$240$	−0.589593	+	4.10071i	−0.0380581	+	0.264700i
$241$	−7.37627	+	16.1518i	−0.475148	+	1.04043i	0.508622	+	0.860990i	$0.330155\pi$
$241$	−7.37627	+	16.1518i	−0.475148	+	1.04043i	−0.983769	+	0.179438i	$0.942572\pi$
$242$	−4.06905	+	8.90999i	−0.261569	+	0.572756i
$243$	0.142315	−	0.989821i	0.00912950	−	0.0634971i
$244$	3.53525	−	2.27197i	0.226321	−	0.145448i
$245$	3.97506	+	1.16718i	0.253957	+	0.0745686i
$246$	0.167745	+	1.16669i	0.0106950	+	0.0743856i
$247$	−17.6898	−	20.4151i	−1.12557	−	1.29898i
$248$	−6.67533	−	4.28998i	−0.423884	−	0.272414i
$249$	−8.87665	+	10.2442i	−0.562535	+	0.649200i
$250$	28.4750	−	8.36103i	1.80092	−	0.528798i
$251$	−2.89868	−	6.34723i	−0.182963	−	0.400634i	0.795820	−	0.605534i	$-0.207040\pi$
$251$	−2.89868	−	6.34723i	−0.182963	−	0.400634i	−0.978783	+	0.204900i	$0.934313\pi$
$252$	−1.00000			−0.0629941
$253$	5.11233	−	1.25522i	0.321409	−	0.0789148i
$254$	−1.44110			−0.0904224
$255$	−12.2830	−	26.8960i	−0.769191	−	1.68429i
$256$	−0.959493	+	0.281733i	−0.0599683	+	0.0176083i
$257$	16.9210	−	19.5278i	1.05550	−	1.21811i	0.0803037	−	0.996770i	$-0.474411\pi$
$257$	16.9210	−	19.5278i	1.05550	−	1.21811i	0.975196	−	0.221342i	$-0.0710436\pi$
$258$	−3.28151	−	2.10890i	−0.204298	−	0.131294i
$259$	−1.09310	−	1.26151i	−0.0679220	−	0.0783861i
$260$	2.40844	+	16.7511i	0.149365	+	1.03886i
$261$	−2.16650	−	0.636142i	−0.134103	−	0.0393762i
$262$	−2.91546	+	1.87365i	−0.180118	+	0.115755i
$263$	2.95960	−	20.5845i	0.182497	−	1.26929i	−0.668337	−	0.743859i	$-0.732993\pi$
$263$	2.95960	−	20.5845i	0.182497	−	1.26929i	0.850834	−	0.525435i	$-0.176097\pi$
$264$	−0.455982	+	0.998462i	−0.0280638	+	0.0614511i
$265$	−20.4321	+	44.7400i	−1.25513	+	2.74836i
$266$	0.941108	−	6.54555i	0.0577030	−	0.401333i
$267$	9.36855	−	6.02080i	0.573346	−	0.368467i
$268$	−3.72219	−	1.09293i	−0.227369	−	0.0667616i
$269$	−0.506495	−	3.52275i	−0.0308815	−	0.214786i	0.968538	−	0.248868i	$-0.0800584\pi$
$269$	−0.506495	−	3.52275i	−0.0308815	−	0.214786i	−0.999419	+	0.0340819i	$0.989149\pi$
$270$	−2.71301	−	3.13098i	−0.165108	−	0.190545i
$271$	4.81460	+	3.09416i	0.292466	+	0.187957i	0.678643	−	0.734468i	$-0.262568\pi$
$271$	4.81460	+	3.09416i	0.292466	+	0.187957i	−0.386177	+	0.922425i	$0.626205\pi$
$272$	4.67379	−	5.39384i	0.283390	−	0.327050i
$273$	−3.91946	+	1.15086i	−0.237216	+	0.0696530i
$274$	−1.48564	−	3.25309i	−0.0897507	−	0.196527i
$275$	13.3512			0.805110
$276$	−4.65750	+	1.14354i	−0.280349	+	0.0688333i
$277$	27.0787			1.62700			0.813502	−	0.581563i	$-0.197558\pi$
$277$	27.0787			1.62700			0.813502	+	0.581563i	$0.197558\pi$
$278$	−2.56180	−	5.60956i	−0.153647	−	0.336439i
$279$	7.61356	−	2.23554i	0.455812	−	0.133838i
$280$	−2.71301	+	3.13098i	−0.162133	+	0.187112i
$281$	−20.0891	−	12.9105i	−1.19841	−	0.770174i	−0.219733	−	0.975560i	$-0.570518\pi$
$281$	−20.0891	−	12.9105i	−1.19841	−	0.770174i	−0.978681	+	0.205387i	$0.934155\pi$
$282$	−2.50057	−	2.88581i	−0.148907	−	0.171848i
$283$	−2.53447	−	17.6276i	−0.150659	−	1.04785i	−0.915119	−	0.403184i	$-0.867904\pi$
$283$	−2.53447	−	17.6276i	−0.150659	−	1.04785i	0.764460	−	0.644671i	$-0.223006\pi$
$284$	−6.34147	−	1.86202i	−0.376297	−	0.110491i
$285$	23.0472	−	14.8115i	1.36520	−	0.877360i
$286$	−0.638117	+	4.43820i	−0.0377326	+	0.262436i
$287$	−0.489645	+	1.07217i	−0.0289028	+	0.0632884i
$288$	0.415415	−	0.909632i	0.0244786	−	0.0536006i
$289$	−4.82985	+	33.5924i	−0.284109	+	1.97602i
$290$	−7.86948	+	5.05741i	−0.462112	+	0.296981i
$291$	1.22623	+	0.360053i	0.0718827	+	0.0211067i
$292$	−1.78170	−	12.3920i	−0.104266	−	0.725187i
$293$	−7.43509	−	8.58055i	−0.434363	−	0.501281i	0.495796	−	0.868439i	$-0.334876\pi$
$293$	−7.43509	−	8.58055i	−0.434363	−	0.501281i	−0.930159	+	0.367158i	$0.880331\pi$
$294$	−0.841254	−	0.540641i	−0.0490629	−	0.0315308i
$295$	3.87718	−	4.47451i	0.225738	−	0.260516i
$296$	1.60160	−	0.470271i	0.0930909	−	0.0273339i
$297$	−0.455982	−	0.998462i	−0.0264588	−	0.0579366i
$298$	−5.66333			−0.328068
$299$	−16.9388	+	9.84219i	−0.979597	+	0.569188i
$300$	−12.1634			−0.702256
$301$	−1.62043	−	3.54824i	−0.0933999	−	0.204517i
$302$	13.3919	−	3.93222i	0.770619	−	0.226274i
$303$	3.57999	−	4.13153i	0.205665	−	0.237350i
$304$	5.56309	+	3.57518i	0.319065	+	0.205051i
$305$	11.4010	+	13.1575i	0.652821	+	0.753396i
$306$	1.01571	+	7.06443i	0.0580643	+	0.403846i
$307$	15.3514	+	4.50756i	0.876148	+	0.257260i	0.688728	−	0.725020i	$-0.258169\pi$
$307$	15.3514	+	4.50756i	0.876148	+	0.257260i	0.187420	+	0.982280i	$0.439988\pi$
$308$	−0.923406	+	0.593437i	−0.0526159	+	0.0338142i
$309$	−2.03657	+	14.1647i	−0.115856	+	0.805799i
$310$	13.6562	−	29.9029i	0.775621	−	1.69837i
$311$	10.7629	−	23.5675i	0.610309	−	1.33639i	−0.312054	−	0.950064i	$-0.601017\pi$
$311$	10.7629	−	23.5675i	0.610309	−	1.33639i	0.922363	−	0.386325i	$-0.126256\pi$
$312$	0.581346	−	4.04335i	0.0329122	−	0.228909i
$313$	15.9326	−	10.2393i	0.900565	−	0.578758i	−0.00639273	−	0.999980i	$-0.502035\pi$
$313$	15.9326	−	10.2393i	0.900565	−	0.578758i	0.906958	+	0.421222i	$0.138399\pi$
$314$	−16.2208	−	4.76287i	−0.915395	−	0.268784i
$315$	−0.589593	−	4.10071i	−0.0332198	−	0.231049i
$316$	9.74660	+	11.2482i	0.548289	+	0.632759i
$317$	−26.8501	−	17.2555i	−1.50805	−	0.969168i	−0.993758	−	0.111555i	$-0.964417\pi$
$317$	−26.8501	−	17.2555i	−1.50805	−	0.969168i	−0.514296	−	0.857613i	$-0.671947\pi$
$318$	7.77458	−	8.97235i	0.435977	−	0.503144i
$319$	−2.37807	+	0.698264i	−0.133146	+	0.0390953i
$320$	−1.72101	−	3.76849i	−0.0962076	−	0.210665i
$321$	7.51039			0.419189
$322$	−4.53639	−	1.55602i	−0.252803	−	0.0867138i
$323$	−47.1965			−2.62608
$324$	0.415415	+	0.909632i	0.0230786	+	0.0505351i
$325$	−47.6740	+	13.9984i	−2.64448	+	0.776489i
$326$	−16.2513	+	18.7550i	−0.900076	+	1.03874i
$327$	−5.26265	−	3.38210i	−0.291025	−	0.187031i
$328$	−0.771877	−	0.890794i	−0.0426198	−	0.0491859i
$329$	−0.543426	−	3.77961i	−0.0299601	−	0.208377i
$330$	−4.36324	−	1.28116i	−0.240189	−	0.0705258i
$331$	0.603196	−	0.387651i	0.0331547	−	0.0213072i	−0.523959	−	0.851744i	$-0.675545\pi$
$331$	0.603196	−	0.387651i	0.0331547	−	0.0213072i	0.557113	+	0.830437i	$0.311909\pi$
$332$	1.92908	−	13.4170i	0.105872	−	0.736356i
$333$	−0.693415	+	1.51837i	−0.0379989	+	0.0832060i
$334$	−1.91076	+	4.18397i	−0.104552	+	0.228937i
$335$	2.28723	−	15.9080i	0.124964	−	0.869147i
$336$	0.841254	−	0.540641i	0.0458941	−	0.0294944i
$337$	33.1953	+	9.74702i	1.80826	+	0.530954i	0.998446	−	0.0557288i	$-0.0177482\pi$
$337$	33.1953	+	9.74702i	1.80826	+	0.530954i	0.809817	+	0.586683i	$0.199566\pi$
$338$	−0.524661	−	3.64910i	−0.0285378	−	0.198485i
$339$	−6.37194	−	7.35361i	−0.346076	−	0.399394i
$340$	24.8742	+	15.9857i	1.34899	+	0.866945i
$341$	5.70375	−	6.58248i	0.308875	−	0.356461i
$342$	−6.34499	+	1.86306i	−0.343098	+	0.100743i
$343$	−0.415415	−	0.909632i	−0.0224303	−	0.0491155i
$344$	3.90074			0.210314
$345$	−7.43537	−	18.4248i	−0.400307	−	0.991959i
$346$	−3.26760			−0.175667
$347$	8.25495	+	18.0758i	0.443149	+	0.970360i	0.991010	+	0.133791i	$0.0427150\pi$
$347$	8.25495	+	18.0758i	0.443149	+	0.970360i	−0.547861	+	0.836569i	$0.684558\pi$
$348$	2.16650	−	0.636142i	0.116137	−	0.0341008i
$349$	−17.2350	+	19.8902i	−0.922568	+	1.06470i	0.0751498	+	0.997172i	$0.476057\pi$
$349$	−17.2350	+	19.8902i	−0.922568	+	1.06470i	−0.997717	+	0.0675275i	$0.978489\pi$
$350$	−10.2325	−	6.57604i	−0.546951	−	0.351504i
$351$	2.67506	+	3.08718i	0.142784	+	0.164782i
$352$	−0.156213	−	1.08648i	−0.00832616	−	0.0579097i
$353$	11.2504	+	3.30342i	0.598799	+	0.175823i	0.567065	−	0.823673i	$-0.308079\pi$
$353$	11.2504	+	3.30342i	0.598799	+	0.175823i	0.0317340	+	0.999496i	$0.489897\pi$
$354$	−1.20224	+	0.772635i	−0.0638985	+	0.0410651i
$355$	3.89673	−	27.1024i	0.206817	−	1.43844i
$356$	−4.62624	+	10.1300i	−0.245190	+	0.536891i
$357$	−2.96485	+	6.49211i	−0.156916	+	0.343599i
$358$	−2.80865	+	19.5346i	−0.148442	+	1.03243i
$359$	16.7138	−	10.7413i	0.882120	−	0.566904i	−0.0193173	−	0.999813i	$-0.506149\pi$
$359$	16.7138	−	10.7413i	0.882120	−	0.566904i	0.901438	+	0.432909i	$0.142513\pi$
$360$	3.97506	+	1.16718i	0.209504	+	0.0615160i
$361$	−3.51943	−	24.4782i	−0.185233	−	1.28833i
$362$	0.961637	+	1.10979i	0.0505425	+	0.0583292i
$363$	8.24021	+	5.29566i	0.432499	+	0.277950i
$364$	2.67506	−	3.08718i	0.140211	−	0.161812i
$365$	49.7655	−	14.6125i	2.60484	−	0.764851i
$366$	−1.74572	−	3.82260i	−0.0912504	−	0.199811i
$367$	9.12188			0.476158			0.238079	−	0.971246i	$-0.423482\pi$
$367$	9.12188			0.476158			0.238079	+	0.971246i	$0.423482\pi$
$368$	3.29989	−	3.48005i	0.172019	−	0.181410i
$369$	1.17869			0.0613601
$370$	2.87273	+	6.29041i	0.149346	+	0.327023i
$371$	11.3912	−	3.34476i	0.591402	−	0.173651i
$372$	−5.19631	+	5.99686i	−0.269416	+	0.310923i
$373$	5.66725	+	3.64212i	0.293439	+	0.188582i	0.679074	−	0.734069i	$-0.262381\pi$
$373$	5.66725	+	3.64212i	0.293439	+	0.188582i	−0.385635	+	0.922651i	$0.626018\pi$
$374$	5.13021	+	5.92057i	0.265277	+	0.306146i
$375$	−4.22350	−	29.3751i	−0.218101	−	1.51692i
$376$	3.66380	+	1.07579i	0.188946	+	0.0554796i
$377$	7.75940	−	4.98667i	0.399630	−	0.256826i
$378$	−0.142315	+	0.989821i	−0.00731989	+	0.0509109i
$379$	12.3829	−	27.1147i	0.636064	−	1.39279i	−0.267174	−	0.963648i	$-0.586090\pi$
$379$	12.3829	−	27.1147i	0.636064	−	1.39279i	0.903239	−	0.429138i	$-0.141183\pi$
$380$	−11.3808	+	24.9205i	−0.583824	+	1.27840i
$381$	−0.205089	+	1.42643i	−0.0105070	+	0.0730781i
$382$	13.7505	−	8.83693i	0.703538	−	0.452137i
$383$	5.37983	+	1.57966i	0.274896	+	0.0807168i	0.416275	−	0.909239i	$-0.363335\pi$
$383$	5.37983	+	1.57966i	0.274896	+	0.0807168i	−0.141379	+	0.989956i	$0.545154\pi$
$384$	0.142315	+	0.989821i	0.00726247	+	0.0505116i
$385$	−2.97794	−	3.43673i	−0.151770	−	0.175152i
$386$	−2.98696	−	1.91960i	−0.152032	−	0.0977050i
$387$	−2.55444	+	2.94798i	−0.129850	+	0.149854i
$388$	−1.22623	+	0.360053i	−0.0622523	+	0.0182789i
$389$	7.48100	+	16.3811i	0.379302	+	0.830555i	0.998956	+	0.0456801i	$0.0145455\pi$
$389$	7.48100	+	16.3811i	0.379302	+	0.830555i	−0.619654	+	0.784875i	$0.712727\pi$
$390$	16.9233			0.856947
$391$	−6.38476	+	33.6274i	−0.322891	+	1.70061i
$392$	1.00000			0.0505076
$393$	1.43967	+	3.15243i	0.0726216	+	0.159019i
$394$	−11.9876	+	3.51987i	−0.603925	+	0.177328i
$395$	−40.3790	+	46.5998i	−2.03169	+	2.34469i
$396$	0.923406	+	0.593437i	0.0464029	+	0.0298213i
$397$	18.4925	+	21.3415i	0.928112	+	1.07110i	0.997296	+	0.0734948i	$0.0234152\pi$
$397$	18.4925	+	21.3415i	0.928112	+	1.07110i	−0.0691832	+	0.997604i	$0.522039\pi$
$398$	0.268563	+	1.86789i	0.0134618	+	0.0936291i
$399$	−6.34499	−	1.86306i	−0.317647	−	0.0932696i
$400$	10.2325	−	6.57604i	0.511626	−	0.328802i
$401$	−2.30179	+	16.0093i	−0.114946	+	0.799465i	0.848044	+	0.529926i	$0.177780\pi$
$401$	−2.30179	+	16.0093i	−0.114946	+	0.799465i	−0.962989	+	0.269539i	$0.913129\pi$
$402$	−1.61153	+	3.52876i	−0.0803759	+	0.175999i
$403$	−13.4652	+	29.4846i	−0.670749	+	1.46873i
$404$	−0.778007	+	5.41116i	−0.0387073	+	0.269215i
$405$	−3.48521	+	2.23981i	−0.173181	+	0.111297i
$406$	2.16650	+	0.636142i	0.107522	+	0.0315712i
$407$	0.260752	+	1.81357i	0.0129250	+	0.0898952i
$408$	−4.67379	−	5.39384i	−0.231387	−	0.267035i
$409$	18.9326	+	12.1672i	0.936154	+	0.601630i	0.917302	−	0.398192i	$-0.130362\pi$
$409$	18.9326	+	12.1672i	0.936154	+	0.601630i	0.0188525	+	0.999822i	$0.493999\pi$
$410$	3.19779	−	3.69045i	0.157928	−	0.182258i
$411$	−3.43141	+	1.00755i	−0.169259	+	0.0496989i
$412$	−5.94472	−	13.0171i	−0.292875	−	0.641307i
$413$	−1.42911			−0.0703219
$414$	0.469073	+	4.77284i	0.0230537	+	0.234572i
$415$	56.1568			2.75663
$416$	1.69694	+	3.71578i	0.0831993	+	0.182181i
$417$	−5.91705	+	1.73740i	−0.289759	+	0.0850809i
$418$	−4.75340	+	5.48571i	−0.232496	+	0.268315i
$419$	−24.0578	−	15.4610i	−1.17530	−	0.755321i	−0.200786	−	0.979635i	$-0.564350\pi$
$419$	−24.0578	−	15.4610i	−1.17530	−	0.755321i	−0.974517	+	0.224314i	$0.927986\pi$
$420$	2.71301	+	3.13098i	0.132381	+	0.152776i
$421$	−1.65779	−	11.5302i	−0.0807958	−	0.561947i	−0.989503	−	0.144513i	$-0.953839\pi$
$421$	−1.65779	−	11.5302i	−0.0807958	−	0.561947i	0.908707	−	0.417434i	$-0.137071\pi$
$422$	25.3136	+	7.43275i	1.23225	+	0.361821i
$423$	−3.21231	+	2.06443i	−0.156188	+	0.100376i
$424$	−1.68958	+	11.7513i	−0.0820532	+	0.570692i
$425$	−36.0627	+	78.9663i	−1.74930	+	3.83043i
$426$	−2.74556	+	6.01193i	−0.133023	+	0.291279i
$427$	0.598058	−	4.15959i	0.0289421	−	0.201297i
$428$	−6.31815	+	4.06043i	−0.305399	+	0.196268i
$429$	4.30221	+	1.26324i	0.207713	+	0.0609900i
$430$	2.29985	+	15.9958i	0.110909	+	0.771386i
$431$	20.8238	+	24.0320i	1.00305	+	1.15758i	0.987487	+	0.157700i	$0.0504080\pi$
$431$	20.8238	+	24.0320i	1.00305	+	1.15758i	0.0155610	+	0.999879i	$0.495047\pi$
$432$	−0.841254	−	0.540641i	−0.0404748	−	0.0260116i
$433$	−4.27559	+	4.93429i	−0.205472	+	0.237127i	−0.849127	−	0.528188i	$-0.822872\pi$
$433$	−4.27559	+	4.93429i	−0.205472	+	0.237127i	0.643656	+	0.765315i	$0.277417\pi$
$434$	−7.61356	+	2.23554i	−0.365463	+	0.107309i
$435$	3.88599	+	8.50912i	0.186319	+	0.407981i
$436$	6.25573			0.299595
$437$	−31.6823	−	1.42141i	−1.51557	−	0.0679954i
$438$	−12.5194			−0.598201
$439$	−13.5452	−	29.6598i	−0.646477	−	1.41559i	−0.894604	−	0.446859i	$-0.852543\pi$
$439$	−13.5452	−	29.6598i	−0.646477	−	1.41559i	0.248128	−	0.968727i	$-0.420185\pi$
$440$	4.36324	−	1.28116i	0.208009	−	0.0610771i
$441$	−0.654861	+	0.755750i	−0.0311838	+	0.0359881i
$442$	−24.5263	−	15.7621i	−1.16659	−	0.749725i
$443$	14.2233	+	16.4145i	0.675769	+	0.779879i	0.985267	−	0.171021i	$-0.0547067\pi$
$443$	14.2233	+	16.4145i	0.675769	+	0.779879i	−0.309499	+	0.950900i	$0.600161\pi$
$444$	−0.237553	−	1.65222i	−0.0112738	−	0.0784109i
$445$	−44.2679	−	12.9982i	−2.09850	−	0.616176i
$446$	17.3775	−	11.1678i	0.822847	−	0.528811i
$447$	−0.805977	+	5.60569i	−0.0381214	+	0.265140i
$448$	−0.415415	+	0.909632i	−0.0196265	+	0.0429761i
$449$	8.14028	−	17.8247i	0.384163	−	0.841201i	−0.614470	−	0.788940i	$-0.710630\pi$
$449$	8.14028	−	17.8247i	0.384163	−	0.841201i	0.998633	−	0.0522604i	$-0.0166426\pi$
$450$	−1.73104	+	12.0396i	−0.0816018	+	0.567553i
$451$	1.08841	−	0.699478i	0.0512512	−	0.0329371i
$452$	9.33608	+	2.74132i	0.439132	+	0.128941i
$453$	−1.98633	−	13.8152i	−0.0933259	−	0.649096i
$454$	−0.828690	−	0.956359i	−0.0388923	−	0.0448842i
$455$	14.2368	+	9.14945i	0.667433	+	0.428933i
$456$	4.33050	−	4.99767i	0.202794	−	0.234037i
$457$	−28.9189	+	8.49135i	−1.35277	+	0.397208i	−0.876208	−	0.481933i	$-0.839935\pi$
$457$	−28.9189	+	8.49135i	−1.35277	+	0.397208i	−0.476560	+	0.879142i	$0.658117\pi$
$458$	6.93518	+	15.1859i	0.324059	+	0.709591i
$459$	7.13707			0.333130
$460$	16.2162	+	11.4801i	0.756086	+	0.535262i
$461$	−32.6703			−1.52161			−0.760804	−	0.648982i	$-0.775195\pi$
$461$	−32.6703			−1.52161			−0.760804	+	0.648982i	$0.775195\pi$
$462$	0.455982	+	0.998462i	0.0212142	+	0.0464526i
$463$	−20.8962	+	6.13567i	−0.971127	+	0.285149i	−0.728557	−	0.684985i	$-0.759809\pi$
$463$	−20.8962	+	6.13567i	−0.971127	+	0.285149i	−0.242570	+	0.970134i	$0.577990\pi$
$464$	−1.47865	+	1.70646i	−0.0686447	+	0.0792202i
$465$	−27.6551	−	17.7728i	−1.28247	−	0.824196i
$466$	−13.3755	−	15.4362i	−0.619608	−	0.715066i
$467$	0.518575	+	3.60677i	0.0239968	+	0.166901i	0.998296	−	0.0583575i	$-0.0185863\pi$
$467$	0.518575	+	3.60677i	0.0239968	+	0.166901i	−0.974299	+	0.225259i	$0.927677\pi$
$468$	−3.91946	−	1.15086i	−0.181177	−	0.0531984i
$469$	−3.26350	+	2.09732i	−0.150694	+	0.0968455i
$470$	−2.25135	+	15.6585i	−0.103847	+	0.722271i
$471$	−7.02286	+	15.3779i	−0.323596	+	0.708577i
$472$	0.593674	−	1.29996i	0.0273260	−	0.0598357i
$473$	−0.609345	+	4.23809i	−0.0280177	+	0.194867i
$474$	12.5208	−	8.04661i	0.575098	−	0.369593i
$475$	−77.1768	−	22.6612i	−3.54112	−	1.03977i
$476$	−1.01571	−	7.06443i	−0.0465550	−	0.323797i
$477$	−7.77458	−	8.97235i	−0.355974	−	0.410816i
$478$	−4.35697	−	2.80006i	−0.199283	−	0.128072i
$479$	−4.13523	+	4.77231i	−0.188943	+	0.218052i	−0.842316	−	0.538984i	$-0.818808\pi$
$479$	−4.13523	+	4.77231i	−0.188943	+	0.218052i	0.653372	+	0.757037i	$0.273354\pi$
$480$	−3.97506	+	1.16718i	−0.181436	+	0.0532744i
$481$	−2.83255	−	6.20242i	−0.129153	−	0.282806i
$482$	−17.7564			−0.808782
$483$	−2.18578	+	4.26877i	−0.0994565	+	0.194236i
$484$	−9.79515			−0.445234
$485$	−2.19945	−	4.81612i	−0.0998717	−	0.218689i
$486$	0.959493	−	0.281733i	0.0435235	−	0.0127796i
$487$	2.71601	−	3.13444i	0.123074	−	0.142035i	−0.690868	−	0.722981i	$-0.742772\pi$
$487$	2.71601	−	3.13444i	0.123074	−	0.142035i	0.813942	+	0.580945i	$0.197317\pi$
$488$	3.53525	+	2.27197i	0.160033	+	0.102847i
$489$	16.2513	+	18.7550i	0.734909	+	0.848130i
$490$	0.589593	+	4.10071i	0.0266351	+	0.185251i
$491$	−13.0011	−	3.81747i	−0.586732	−	0.172280i	−0.0251250	−	0.999684i	$-0.507998\pi$
$491$	−13.0011	−	3.81747i	−0.586732	−	0.172280i	−0.561607	+	0.827404i	$0.689817\pi$
$492$	−0.991577	+	0.637248i	−0.0447037	+	0.0287293i
$493$	2.29344	−	15.9512i	0.103291	−	0.718407i
$494$	11.2216	−	24.5719i	0.504885	−	1.10554i
$495$	−1.88908	+	4.13650i	−0.0849077	+	0.185922i
$496$	1.12927	−	7.85422i	0.0507055	−	0.352665i
$497$	−5.56001	+	3.57320i	−0.249400	+	0.160280i
$498$	−13.0059	−	3.81889i	−0.582810	−	0.171129i
$499$	−2.08672	−	14.5135i	−0.0934145	−	0.649712i	−0.981702	−	0.190424i	$-0.939014\pi$
$499$	−2.08672	−	14.5135i	−0.0934145	−	0.649712i	0.888287	−	0.459288i	$-0.151895\pi$
$500$	19.4344	+	22.4285i	0.869134	+	1.00303i
$501$	3.86946	+	2.48675i	0.172875	+	0.111100i
$502$	4.56949	−	5.27347i	0.203946	−	0.235366i
$503$	−18.3417	+	5.38561i	−0.817816	+	0.240132i	−0.663775	−	0.747932i	$-0.731047\pi$
$503$	−18.3417	+	5.38561i	−0.817816	+	0.240132i	−0.154041	+	0.988065i	$0.549229\pi$
$504$	−0.415415	−	0.909632i	−0.0185041	−	0.0405182i
$505$	−22.6483			−1.00784
$506$	3.26552	+	4.12890i	0.145170	+	0.183552i
$507$	−3.68662			−0.163729
$508$	−0.598653	−	1.31087i	−0.0265609	−	0.0581603i
$509$	−24.9613	+	7.32929i	−1.10639	+	0.324865i	−0.783387	−	0.621534i	$-0.786510\pi$
$509$	−24.9613	+	7.32929i	−1.10639	+	0.324865i	−0.323001	+	0.946399i	$0.604692\pi$
$510$	19.3629	−	22.3460i	0.857405	−	0.989498i
$511$	−10.5320	−	6.76851i	−0.465909	−	0.299421i
$512$	−0.654861	−	0.755750i	−0.0289410	−	0.0333997i
$513$	0.941108	+	6.54555i	0.0415509	+	0.288993i
$514$	24.7923	+	7.27969i	1.09354	+	0.321093i
$515$	49.8744	−	32.0523i	2.19773	−	1.41240i
$516$	0.555134	−	3.86104i	0.0244384	−	0.169973i
$517$	−1.74116	+	3.81261i	−0.0765761	+	0.167678i
$518$	0.693415	−	1.51837i	0.0304669	−	0.0667132i
$519$	−0.465028	+	3.23434i	−0.0204125	+	0.141972i
$520$	−14.2368	+	9.14945i	−0.624326	+	0.401230i
$521$	25.0786	+	7.36374i	1.09871	+	0.322611i	0.780341	−	0.625354i	$-0.215046\pi$
$521$	25.0786	+	7.36374i	1.09871	+	0.322611i	0.318372	+	0.947966i	$0.396864\pi$
$522$	−0.321342	−	2.23498i	−0.0140648	−	0.0978225i
$523$	−8.69264	−	10.0318i	−0.380103	−	0.438662i	0.533171	−	0.846007i	$-0.321000\pi$
$523$	−8.69264	−	10.0318i	−0.380103	−	0.438662i	−0.913274	+	0.407345i	$0.866455\pi$
$524$	−2.91546	−	1.87365i	−0.127362	−	0.0818508i
$525$	−7.96535	+	9.19250i	−0.347636	+	0.401194i
$526$	19.9538	−	5.85896i	0.870026	−	0.255463i
$527$	23.5260	+	51.5148i	1.02481	+	2.24402i
$528$	−1.09765			−0.0477693
$529$	−5.29875	+	22.3813i	−0.230380	+	0.973101i
$530$	−49.1847			−2.13645
$531$	0.593674	+	1.29996i	0.0257632	+	0.0564136i
$532$	6.34499	−	1.86306i	0.275090	−	0.0807738i
$533$	−3.15306	+	3.63883i	−0.136574	+	0.157615i
$534$	9.36855	+	6.02080i	0.405417	+	0.260546i
$535$	−20.3758	−	23.5149i	−0.880921	−	1.01664i
$536$	−0.552086	−	3.83984i	−0.0238465	−	0.165856i
$537$	18.9360	+	5.56012i	0.817150	+	0.239937i
$538$	2.99400	−	1.92413i	0.129080	−	0.0829550i
$539$	−0.156213	+	1.08648i	−0.00672855	+	0.0467981i
$540$	1.72101	−	3.76849i	0.0740606	−	0.162170i
$541$	−2.53510	+	5.55109i	−0.108992	+	0.238660i	−0.956267	−	0.292495i	$-0.905515\pi$
$541$	−2.53510	+	5.55109i	−0.108992	+	0.238660i	0.847275	+	0.531155i	$0.178242\pi$
$542$	−0.814486	+	5.66487i	−0.0349852	+	0.243327i
$543$	1.23535	−	0.793909i	0.0530138	−	0.0340699i
$544$	6.84797	+	2.01075i	0.293604	+	0.0862100i
$545$	3.68833	+	25.6529i	0.157991	+	1.09885i
$546$	−2.67506	−	3.08718i	−0.114482	−	0.132119i
$547$	22.8623	+	14.6927i	0.977520	+	0.628214i	0.928793	−	0.370598i	$-0.120847\pi$
$547$	22.8623	+	14.6927i	0.977520	+	0.628214i	0.0487265	+	0.998812i	$0.484484\pi$
$548$	2.34196	−	2.70277i	0.100044	−	0.115457i
$549$	−4.03214	+	1.18394i	−0.172087	+	0.0505294i
$550$	5.54631	+	12.1447i	0.236495	+	0.517852i
$551$	14.9316			0.636108
$552$	−2.97500	−	3.76157i	−0.126624	−	0.160103i
$553$	14.8835			0.632909
$554$	11.2489	+	24.6317i	0.477920	+	1.04650i
$555$	6.63521	−	1.94827i	0.281649	−	0.0826996i
$556$	4.03843	−	4.66059i	0.171267	−	0.197653i
$557$	14.8234	+	9.52643i	0.628088	+	0.403648i	0.815601	−	0.578614i	$-0.196406\pi$
$557$	14.8234	+	9.52643i	0.628088	+	0.403648i	−0.187513	+	0.982262i	$0.560043\pi$
$558$	5.19631	+	5.99686i	0.219977	+	0.253867i
$559$	−2.26768	−	15.7721i	−0.0959126	−	0.667087i
$560$	−3.97506	−	1.16718i	−0.167977	−	0.0493225i
$561$	6.59041	−	4.23540i	0.278247	−	0.178819i
$562$	3.39847	−	23.6369i	0.143356	−	0.997061i
$563$	12.7234	−	27.8603i	0.536227	−	1.17417i	−0.426696	−	0.904395i	$-0.640322\pi$
$563$	12.7234	−	27.8603i	0.536227	−	1.17417i	0.962923	−	0.269778i	$-0.0869503\pi$
$564$	1.58625	−	3.47341i	0.0667933	−	0.146257i
$565$	−5.73687	+	39.9008i	−0.241352	+	1.67864i
$566$	14.9818	−	9.62822i	0.629732	−	0.404704i
$567$	0.959493	+	0.281733i	0.0402949	+	0.0118317i
$568$	−0.940586	−	6.54192i	−0.0394661	−	0.274493i
$569$	−18.6899	−	21.5693i	−0.783522	−	0.904233i	0.213836	−	0.976870i	$-0.431404\pi$
$569$	−18.6899	−	21.5693i	−0.783522	−	0.904233i	−0.997358	+	0.0726365i	$0.976859\pi$
$570$	23.0472	+	14.8115i	0.965341	+	0.620387i
$571$	−14.2155	+	16.4056i	−0.594902	+	0.686553i	−0.970740	−	0.240132i	$-0.922809\pi$
$571$	−14.2155	+	16.4056i	−0.594902	+	0.686553i	0.375839	+	0.926685i	$0.377355\pi$
$572$	−4.30221	+	1.26324i	−0.179884	+	0.0528188i
$573$	−6.79008	−	14.8682i	−0.283660	−	0.621128i
$574$	−1.17869			−0.0491975
$575$	−26.5866	+	51.9228i	−1.10874	+	2.16533i
$576$	1.00000			0.0416667
$577$	−14.9139	−	32.6569i	−0.620874	−	1.35952i	−0.914882	−	0.403721i	$-0.867717\pi$
$577$	−14.9139	−	32.6569i	−0.620874	−	1.35952i	0.294008	−	0.955803i	$-0.405011\pi$
$578$	−32.5631	+	9.56138i	−1.35445	+	0.397701i
$579$	−2.32515	+	2.68336i	−0.0966299	+	0.111517i
$580$	−7.86948	−	5.05741i	−0.326762	−	0.209997i
$581$	−8.87665	−	10.2442i	−0.368265	−	0.425001i
$582$	0.181878	+	1.26499i	0.00753907	+	0.0524354i
$583$	−12.5036	−	3.67139i	−0.517847	−	0.152054i
$584$	10.5320	−	6.76851i	0.435818	−	0.280083i
$585$	2.40844	−	16.7511i	0.0995769	−	0.692572i
$586$	4.71650	−	10.3277i	0.194837	−	0.426633i
$587$	7.05451	−	15.4472i	0.291171	−	0.637575i	−0.706357	−	0.707856i	$-0.749662\pi$
$587$	7.05451	−	15.4472i	0.291171	−	0.637575i	0.997527	+	0.0702814i	$0.0223897\pi$
$588$	0.142315	−	0.989821i	0.00586897	−	0.0408195i
$589$	−44.1430	+	28.3690i	−1.81888	+	1.16892i
$590$	5.68080	+	1.66803i	0.233875	+	0.0686718i
$591$	1.77803	+	12.3665i	0.0731384	+	0.508689i
$592$	1.09310	+	1.26151i	0.0449262	+	0.0518475i
$593$	−34.6968	−	22.2983i	−1.42483	−	0.915680i	−0.999946	−	0.0104307i	$-0.996680\pi$
$593$	−34.6968	−	22.2983i	−1.42483	−	0.915680i	−0.424880	−	0.905249i	$-0.639684\pi$
$594$	0.718811	−	0.829552i	0.0294932	−	0.0340369i
$595$	28.3703	−	8.33027i	1.16307	−	0.341508i
$596$	−2.35263	−	5.15155i	−0.0963676	−	0.211016i
$597$	1.88710			0.0772340
$598$	−15.9894	−	11.3195i	−0.653856	−	0.462889i
$599$	15.1930			0.620769			0.310385	−	0.950611i	$-0.399542\pi$
$599$	15.1930			0.620769			0.310385	+	0.950611i	$0.399542\pi$
$600$	−5.05287	−	11.0642i	−0.206283	−	0.451696i
$601$	37.2610	−	10.9408i	1.51991	−	0.446285i	0.587962	−	0.808888i	$-0.299930\pi$
$601$	37.2610	−	10.9408i	1.51991	−	0.446285i	0.931943	+	0.362604i	$0.118112\pi$
$602$	2.55444	−	2.94798i	0.104111	−	0.120151i
$603$	3.26350	+	2.09732i	0.132900	+	0.0854097i
$604$	9.14009	+	10.5482i	0.371905	+	0.429201i
$605$	−5.77515	−	40.1671i	−0.234793	−	1.63302i
$606$	5.24536	+	1.54018i	0.213078	+	0.0625654i
$607$	16.9294	−	10.8799i	0.687145	−	0.441601i	−0.149925	−	0.988697i	$-0.547903\pi$
$607$	16.9294	−	10.8799i	0.687145	−	0.441601i	0.837070	+	0.547096i	$0.184267\pi$
$608$	−0.941108	+	6.54555i	−0.0381670	+	0.265457i
$609$	0.937993	−	2.05392i	0.0380094	−	0.0832289i
$610$	−7.23232	+	15.8366i	−0.292828	+	0.641204i
$611$	2.21986	−	15.4394i	0.0898058	−	0.624613i
$612$	−6.00409	+	3.85859i	−0.242701	+	0.155974i
$613$	−29.4853	−	8.65765i	−1.19090	−	0.349679i	−0.374532	−	0.927214i	$-0.622197\pi$
$613$	−29.4853	−	8.65765i	−1.19090	−	0.349679i	−0.816366	+	0.577535i	$0.804015\pi$
$614$	2.27696	+	15.8366i	0.0918906	+	0.639113i
$615$	−3.19779	−	3.69045i	−0.128947	−	0.148813i
$616$	−0.923406	−	0.593437i	−0.0372051	−	0.0239103i
$617$	−28.0214	+	32.3384i	−1.12810	+	1.30189i	−0.180089	+	0.983650i	$0.557638\pi$
$617$	−28.0214	+	32.3384i	−1.12810	+	1.30189i	−0.948009	+	0.318244i	$0.896907\pi$
$618$	−13.7306	+	4.03168i	−0.552327	+	0.162178i
$619$	9.62123	+	21.0676i	0.386710	+	0.846776i	0.998447	+	0.0557151i	$0.0177439\pi$
$619$	9.62123	+	21.0676i	0.386710	+	0.846776i	−0.611737	+	0.791061i	$0.709529\pi$
$620$	32.8737			1.32024
$621$	4.79101	+	0.214947i	0.192257	+	0.00862551i
$622$	25.9088			1.03885
$623$	4.62624	+	10.1300i	0.185346	+	0.405852i
$624$	3.91946	−	1.15086i	0.156904	−	0.0460711i
$625$	−40.6877	+	46.9561i	−1.62751	+	1.87824i
$626$	15.9326	+	10.2393i	0.636796	+	0.409244i
$627$	4.75340	+	5.48571i	0.189832	+	0.219078i
$628$	−2.40592	−	16.7336i	−0.0960068	−	0.667742i
$629$	−11.4307	−	3.35636i	−0.455772	−	0.133827i
$630$	3.48521	−	2.23981i	0.138854	−	0.0892361i
$631$	0.361276	−	2.51273i	0.0143822	−	0.100030i	−0.981366	−	0.192148i	$-0.938455\pi$
$631$	0.361276	−	2.51273i	0.0143822	−	0.100030i	0.995748	+	0.0921180i	$0.0293637\pi$
$632$	−6.18282	+	13.5385i	−0.245939	+	0.538532i
$633$	10.9596	−	23.9982i	0.435605	−	0.953842i
$634$	4.54224	−	31.5920i	0.180395	−	1.25468i
$635$	5.02252	−	3.22778i	0.199313	−	0.128090i
$636$	11.3912	+	3.34476i	0.451691	+	0.132628i
$637$	−0.581346	−	4.04335i	−0.0230338	−	0.160203i
$638$	−1.62305	−	1.87310i	−0.0642572	−	0.0741567i
$639$	5.56001	+	3.57320i	0.219950	+	0.141354i
$640$	2.71301	−	3.13098i	0.107241	−	0.123763i
$641$	24.0274	−	7.05508i	0.949025	−	0.278659i	0.229644	−	0.973275i	$-0.426244\pi$
$641$	24.0274	−	7.05508i	0.949025	−	0.278659i	0.719381	+	0.694616i	$0.244426\pi$
$642$	3.11993	+	6.83170i	0.123134	+	0.269626i
$643$	41.3016			1.62878			0.814388	−	0.580321i	$-0.197073\pi$
$643$	41.3016			1.62878			0.814388	+	0.580321i	$0.197073\pi$
$644$	−0.469073	−	4.77284i	−0.0184841	−	0.188076i
$645$	16.1603			0.636311
$646$	−19.6061	−	42.9314i	−0.771392	−	1.68911i
$647$	−8.65904	+	2.54252i	−0.340422	+	0.0999569i	−0.447475	−	0.894296i	$-0.647677\pi$
$647$	−8.65904	+	2.54252i	−0.340422	+	0.0999569i	0.107053	+	0.994253i	$0.465858\pi$
$648$	−0.654861	+	0.755750i	−0.0257254	+	0.0296886i
$649$	1.31965	+	0.848086i	0.0518007	+	0.0332903i
$650$	−32.5379	−	37.5507i	−1.27624	−	1.47286i
$651$	1.12927	+	7.85422i	0.0442594	+	0.307831i
$652$	−23.8112	−	6.99159i	−0.932517	−	0.273812i
$653$	−12.9150	+	8.29997i	−0.505403	+	0.324803i	−0.768374	−	0.640001i	$-0.778934\pi$
$653$	−12.9150	+	8.29997i	−0.505403	+	0.324803i	0.262971	+	0.964804i	$0.415298\pi$
$654$	0.890283	−	6.19205i	0.0348128	−	0.242128i
$655$	5.96436	−	13.0601i	0.233047	−	0.510302i
$656$	0.489645	−	1.07217i	0.0191174	−	0.0418613i
$657$	−1.78170	+	12.3920i	−0.0695107	+	0.483458i
$658$	3.21231	−	2.06443i	0.125229	−	0.0804797i
$659$	−19.5216	−	5.73206i	−0.760454	−	0.223289i	−0.121560	−	0.992584i	$-0.538790\pi$
$659$	−19.5216	−	5.73206i	−0.760454	−	0.223289i	−0.638894	+	0.769295i	$0.720608\pi$
$660$	−0.647169	−	4.50116i	−0.0251910	−	0.175207i
$661$	−13.3718	−	15.4319i	−0.520102	−	0.600229i	0.433555	−	0.901127i	$-0.357259\pi$
$661$	−13.3718	−	15.4319i	−0.520102	−	0.600229i	−0.953656	+	0.300898i	$0.902714\pi$
$662$	0.603196	+	0.387651i	0.0234439	+	0.0150665i
$663$	−19.0921	+	22.0334i	−0.741475	+	0.855708i
$664$	13.0059	−	3.81889i	0.504728	−	0.148202i
$665$	11.3808	+	24.9205i	0.441329	+	0.966376i
$666$	−1.66921			−0.0646806
$667$	2.01995	−	10.6388i	0.0782130	−	0.411934i
$668$	−4.59963			−0.177965
$669$	−8.58107	−	18.7899i	−0.331763	−	0.726461i
$670$	15.4206	−	4.52789i	0.595749	−	0.174928i
$671$	−3.02070	+	3.48608i	−0.116613	+	0.134579i
$672$	0.841254	+	0.540641i	0.0324521	+	0.0208557i
$673$	−9.02540	−	10.4159i	−0.347904	−	0.401502i	0.554647	−	0.832086i	$-0.312853\pi$
$673$	−9.02540	−	10.4159i	−0.347904	−	0.401502i	−0.902551	+	0.430583i	$0.858308\pi$
$674$	4.92362	+	34.2446i	0.189651	+	1.31905i
$675$	11.6707	+	3.42683i	0.449206	+	0.131899i
$676$	3.10138	−	1.99314i	0.119284	−	0.0766591i
$677$	−0.202527	+	1.40861i	−0.00778376	+	0.0541373i	−0.993343	−	0.115193i	$-0.963251\pi$
$677$	−0.202527	+	1.40861i	−0.00778376	+	0.0541373i	0.985559	+	0.169330i	$0.0541604\pi$
$678$	4.04208	−	8.85093i	0.155235	−	0.339918i
$679$	−0.530899	+	1.16251i	−0.0203740	+	0.0446129i
$680$	−4.20797	+	29.2670i	−0.161368	+	1.12234i
$681$	−1.06456	+	0.684151i	−0.0407940	+	0.0262167i
$682$	8.35706	+	2.45385i	0.320008	+	0.0939629i
$683$	0.686819	+	4.77693i	0.0262804	+	0.182784i	0.998733	−	0.0503148i	$-0.0160225\pi$
$683$	0.686819	+	4.77693i	0.0262804	+	0.182784i	−0.972453	+	0.233099i	$0.925113\pi$
$684$	−4.33050	−	4.99767i	−0.165581	−	0.191091i
$685$	12.4641	+	8.01017i	0.476228	+	0.306053i
$686$	0.654861	−	0.755750i	0.0250027	−	0.0288547i
$687$	16.0183	−	4.70340i	0.611137	−	0.179446i
$688$	1.62043	+	3.54824i	0.0617782	+	0.135275i
$689$	48.4967			1.84758
$690$	13.6710	−	14.4174i	0.520448	−	0.548861i
$691$	−0.728424			−0.0277106			−0.0138553	−	0.999904i	$-0.504410\pi$
$691$	−0.728424			−0.0277106			−0.0138553	+	0.999904i	$0.504410\pi$
$692$	−1.35741	−	2.97231i	−0.0516010	−	0.112990i
$693$	1.05319	−	0.309245i	0.0400075	−	0.0117472i
$694$	−13.0131	+	15.0179i	−0.493971	+	0.570073i
$695$	21.4928	+	13.8126i	0.815267	+	0.523940i
$696$	1.47865	+	1.70646i	0.0560482	+	0.0646830i
$697$	1.19721	+	8.32677i	0.0453475	+	0.315399i
$698$	−25.2525	−	7.41479i	−0.955820	−	0.280654i
$699$	−17.1826	+	11.0426i	−0.649904	+	0.417668i
$700$	1.73104	−	12.0396i	0.0654270	−	0.455055i
$701$	−0.824606	+	1.80563i	−0.0311449	+	0.0681979i	−0.924565	−	0.381024i	$-0.875571\pi$
$701$	−0.824606	+	1.80563i	−0.0311449	+	0.0681979i	0.893420	+	0.449222i	$0.148299\pi$
$702$	−1.69694	+	3.71578i	−0.0640469	+	0.140243i
$703$	1.57091	−	10.9259i	0.0592479	−	0.412078i
$704$	0.923406	−	0.593437i	0.0348022	−	0.0223660i
$705$	15.1787	+	4.45686i	0.571662	+	0.167855i
$706$	1.66869	+	11.6060i	0.0628021	+	0.436798i
$707$	3.57999	+	4.13153i	0.134639	+	0.155382i
$708$	−1.20224	−	0.772635i	−0.0451831	−	0.0290374i
$709$	29.7394	−	34.3211i	1.11689	−	1.28896i	0.163723	−	0.986506i	$-0.447650\pi$
$709$	29.7394	−	34.3211i	1.11689	−	1.28896i	0.953165	−	0.302451i	$-0.0978047\pi$
$710$	26.2719	−	7.71414i	0.985968	−	0.289506i
$711$	−6.18282	−	13.5385i	−0.231874	−	0.507733i
$712$	−11.1364			−0.417355
$713$	14.2412	+	35.2896i	0.533337	+	1.32161i
$714$	−7.13707			−0.267098
$715$	−7.71674	−	16.8973i	−0.288590	−	0.631924i
$716$	−18.9360	+	5.56012i	−0.707673	+	0.207791i
$717$	−3.39162	+	3.91414i	−0.126662	+	0.146176i
$718$	16.7138	+	10.7413i	0.623753	+	0.400862i
$719$	−21.6564	−	24.9929i	−0.807649	−	0.932077i	0.191126	−	0.981566i	$-0.438786\pi$
$719$	−21.6564	−	24.9929i	−0.807649	−	0.932077i	−0.998775	+	0.0494888i	$0.984241\pi$
$720$	0.589593	+	4.10071i	0.0219728	+	0.152824i
$721$	−13.7306	−	4.03168i	−0.511356	−	0.150148i
$722$	20.8041	−	13.3700i	0.774250	−	0.497580i
$723$	−2.52700	+	17.5757i	−0.0939801	+	0.653646i
$724$	−0.610020	+	1.33576i	−0.0226712	+	0.0496431i
$725$	11.4092	−	24.9827i	0.423727	−	0.927833i
$726$	−1.39400	+	9.69545i	−0.0517360	+	0.359832i
$727$	12.5094	−	8.03933i	0.463950	−	0.298162i	−0.287705	−	0.957719i	$-0.592892\pi$
$727$	12.5094	−	8.03933i	0.463950	−	0.298162i	0.751655	+	0.659557i	$0.229256\pi$
$728$	3.91946	+	1.15086i	0.145265	+	0.0426536i
$729$	−0.142315	−	0.989821i	−0.00527092	−	0.0366601i
$730$	33.9653	+	39.1980i	1.25711	+	1.45078i
$731$	−23.4204	−	15.0514i	−0.866235	−	0.556695i
$732$	2.75196	−	3.17593i	0.101715	−	0.117386i
$733$	−32.1048	+	9.42682i	−1.18582	+	0.348187i	−0.814414	−	0.580284i	$-0.802941\pi$
$733$	−32.1048	+	9.42682i	−1.18582	+	0.348187i	−0.371403	+	0.928472i	$0.621123\pi$
$734$	3.78937	+	8.29756i	0.139868	+	0.306268i
$735$	4.14288			0.152812
$736$	4.53639	+	1.55602i	0.167213	+	0.0573558i
$737$	4.25817			0.156852
$738$	0.489645	+	1.07217i	0.0180241	+	0.0394673i
$739$	39.7689	−	11.6772i	1.46292	−	0.429553i	0.549130	−	0.835737i	$-0.314959\pi$
$739$	39.7689	−	11.6772i	1.46292	−	0.429553i	0.913791	+	0.406184i	$0.133141\pi$
$740$	−4.52858	+	5.22626i	−0.166474	+	0.192121i
$741$	−22.7248	−	14.6044i	−0.834817	−	0.536504i
$742$	7.77458	+	8.97235i	0.285414	+	0.329385i
$743$	2.01644	+	14.0246i	0.0739760	+	0.514514i	0.992794	+	0.119833i	$0.0382359\pi$
$743$	2.01644	+	14.0246i	0.0739760	+	0.514514i	−0.918818	+	0.394681i	$0.870855\pi$
$744$	−7.61356	−	2.23554i	−0.279127	−	0.0819590i
$745$	19.7379	−	12.6848i	0.723141	−	0.464734i
$746$	−0.958728	+	6.66810i	−0.0351015	+	0.244137i
$747$	−5.63096	+	12.3301i	−0.206026	+	0.451134i
$748$	−3.25438	+	7.12609i	−0.118992	+	0.260556i
$749$	−1.06884	+	7.43395i	−0.0390546	+	0.271631i
$750$	24.9660	−	16.0447i	0.911631	−	0.585870i
$751$	15.7676	+	4.62979i	0.575368	+	0.168943i	0.556455	−	0.830878i	$-0.312161\pi$
$751$	15.7676	+	4.62979i	0.575368	+	0.168943i	0.0189134	+	0.999821i	$0.493979\pi$
$752$	0.543426	+	3.77961i	0.0198167	+	0.137828i
$753$	−4.56949	−	5.27347i	−0.166521	−	0.192176i
$754$	7.75940	+	4.98667i	0.282581	+	0.181604i
$755$	−37.8662	+	43.7000i	−1.37809	+	1.59040i
$756$	−0.959493	+	0.281733i	−0.0348964	+	0.0102465i
$757$	2.85383	+	6.24901i	0.103724	+	0.227124i	0.954377	−	0.298603i	$-0.0965206\pi$
$757$	2.85383	+	6.24901i	0.103724	+	0.227124i	−0.850653	+	0.525727i	$0.823793\pi$
$758$	29.8084			1.08269
$759$	4.55161	−	2.64468i	0.165213	−	0.0959958i
$760$	−27.3963			−0.993767
$761$	13.0569	+	28.5906i	0.473312	+	1.03641i	0.984249	+	0.176790i	$0.0565712\pi$
$761$	13.0569	+	28.5906i	0.473312	+	1.03641i	−0.510937	+	0.859618i	$0.670701\pi$
$762$	−1.38272	+	0.406004i	−0.0500907	+	0.0147080i
$763$	4.09663	−	4.72776i	0.148308	−	0.171156i
$764$	13.7505	+	8.83693i	0.497477	+	0.319709i
$765$	−19.3629	−	22.3460i	−0.700068	−	0.807922i
$766$	0.797952	+	5.54988i	0.0288312	+	0.200525i
$767$	−5.60134	−	1.64470i	−0.202253	−	0.0593867i
$768$	−0.841254	+	0.540641i	−0.0303561	+	0.0195087i
$769$	−0.349649	+	2.43186i	−0.0126087	+	0.0876952i	−0.995154	−	0.0983276i	$-0.968651\pi$
$769$	−0.349649	+	2.43186i	−0.0126087	+	0.0876952i	0.982545	+	0.186023i	$0.0595598\pi$
$770$	1.88908	−	4.13650i	0.0680776	−	0.149069i
$771$	10.7339	−	23.5040i	0.386572	−	0.846476i
$772$	0.505303	−	3.51446i	0.0181863	−	0.126488i
$773$	30.7528	−	19.7636i	1.10610	−	0.710849i	0.145662	−	0.989334i	$-0.453469\pi$
$773$	30.7528	−	19.7636i	1.10610	−	0.710849i	0.960440	+	0.278486i	$0.0898325\pi$
$774$	−3.74273	−	1.09897i	−0.134530	−	0.0395015i
$775$	13.7357	+	95.5342i	0.493402	+	3.43169i
$776$	−0.836909	−	0.965845i	−0.0300433	−	0.0346718i
$777$	−1.40423	−	0.902443i	−0.0503764	−	0.0323750i
$778$	−11.7931	+	13.6099i	−0.422802	+	0.487939i
$779$	−7.47878	+	2.19597i	−0.267955	+	0.0786787i
$780$	7.03021	+	15.3940i	0.251722	+	0.551194i
$781$	7.25461			0.259590
$782$	−33.2409	+	8.16156i	−1.18869	+	0.291857i
$783$	−2.25796			−0.0806931
$784$	0.415415	+	0.909632i	0.0148363	+	0.0324869i
$785$	67.2009	−	19.7320i	2.39850	−	0.704264i
$786$	−2.26949	+	2.61913i	−0.0809501	+	0.0934214i
$787$	43.5968	+	28.0180i	1.55406	+	0.998733i	0.984214	+	0.176980i	$0.0566329\pi$
$787$	43.5968	+	28.0180i	1.55406	+	0.998733i	0.569844	+	0.821753i	$0.307003\pi$
$788$	−8.18160	−	9.44207i	−0.291457	−	0.336360i
$789$	−2.95960	−	20.5845i	−0.105365	−	0.732827i
$790$	−59.1627	−	17.3717i	−2.10491	−	0.618058i
$791$	8.18559	−	5.26056i	0.291046	−	0.187044i
$792$	−0.156213	+	1.08648i	−0.00555077	+	0.0386065i
$793$	7.13115	−	15.6150i	0.253235	−	0.554507i
$794$	−11.7308	+	25.6870i	−0.416312	+	0.911596i
$795$	−6.99972	+	48.6841i	−0.248254	+	1.72665i
$796$	−1.58753	+	1.02024i	−0.0562686	+	0.0361616i
$797$	47.5249	+	13.9546i	1.68342	+	0.494296i	0.976954	−	0.213452i	$-0.0684706\pi$
$797$	47.5249	+	13.9546i	1.68342	+	0.494296i	0.706465	+	0.707748i	$0.250289\pi$
$798$	−0.941108	−	6.54555i	−0.0333149	−	0.231710i
$799$	−17.8468	−	20.5963i	−0.631373	−	0.728643i
$800$	10.2325	+	6.57604i	0.361774	+	0.232498i
$801$	7.29280	−	8.41634i	0.257679	−	0.297377i
$802$	−15.5188	+	4.55672i	−0.547986	+	0.160903i
$803$	5.70864	+	12.5002i	0.201453	+	0.441121i
$804$	−3.87933			−0.136813
$805$	19.2954	−	4.73756i	0.680075	−	0.166977i
$806$	−32.4138			−1.14173
$807$	−1.47845	−	3.23736i	−0.0520439	−	0.113960i
$808$	−5.24536	+	1.54018i	−0.184531	+	0.0541832i
$809$	3.67616	−	4.24251i	0.129247	−	0.149159i	−0.687437	−	0.726244i	$-0.741264\pi$
$809$	3.67616	−	4.24251i	0.129247	−	0.149159i	0.816684	+	0.577085i	$0.195810\pi$
$810$	−3.48521	−	2.23981i	−0.122458	−	0.0786988i
$811$	8.97536	+	10.3581i	0.315167	+	0.363723i	0.891126	−	0.453756i	$-0.149916\pi$
$811$	8.97536	+	10.3581i	0.315167	+	0.363723i	−0.575958	+	0.817479i	$0.695371\pi$
$812$	0.321342	+	2.23498i	0.0112769	+	0.0784325i
$813$	5.49130	+	1.61239i	0.192588	+	0.0565490i
$814$	−1.54136	+	0.990571i	−0.0540246	+	0.0347195i
$815$	14.6316	−	101.765i	0.512522	−	3.56467i
$816$	2.96485	−	6.49211i	0.103790	−	0.227269i
$817$	10.7157	−	23.4640i	0.374893	−	0.820902i
$818$	−3.20282	+	22.2761i	−0.111984	+	0.778866i
$819$	−3.43646	+	2.20848i	−0.120080	+	0.0771705i
$820$	4.68536	+	1.37575i	0.163620	+	0.0480431i
$821$	4.82993	+	33.5929i	0.168566	+	1.17240i	0.881851	+	0.471528i	$0.156297\pi$
$821$	4.82993	+	33.5929i	0.168566	+	1.17240i	−0.713285	+	0.700874i	$0.752794\pi$
$822$	−2.34196	−	2.70277i	−0.0816853	−	0.0942699i
$823$	−8.36273	−	5.37440i	−0.291506	−	0.187340i	0.386711	−	0.922201i	$-0.373611\pi$
$823$	−8.36273	−	5.37440i	−0.291506	−	0.187340i	−0.678218	+	0.734861i	$0.737247\pi$
$824$	9.37126	−	10.8150i	0.326463	−	0.376759i
$825$	12.8104	−	3.76148i	0.446002	−	0.130958i
$826$	−0.593674	−	1.29996i	−0.0206565	−	0.0452315i
$827$	13.8279			0.480843			0.240422	−	0.970669i	$-0.422714\pi$
$827$	13.8279			0.480843			0.240422	+	0.970669i	$0.422714\pi$
$828$	−4.14666	+	2.40939i	−0.144107	+	0.0837322i
$829$	8.36098			0.290389			0.145194	−	0.989403i	$-0.453619\pi$
$829$	8.36098			0.290389			0.145194	+	0.989403i	$0.453619\pi$
$830$	23.3284	+	51.0820i	0.809739	+	1.77308i
$831$	25.9819	−	7.62896i	0.901300	−	0.264646i
$832$	−2.67506	+	3.08718i	−0.0927409	+	0.107029i
$833$	−6.00409	−	3.85859i	−0.208029	−	0.133692i
$834$	−4.03843	−	4.66059i	−0.139839	−	0.161383i
$835$	−2.71191	−	18.8617i	−0.0938495	−	0.652738i
$836$	−6.96461	−	2.04499i	−0.240876	−	0.0707276i
$837$	6.67533	−	4.28998i	0.230733	−	0.148283i
$838$	4.06987	−	28.3065i	0.140591	−	0.977833i
$839$	−9.33156	+	20.4333i	−0.322161	+	0.705435i	−0.999544	−	0.0301959i	$-0.990387\pi$
$839$	−9.33156	+	20.4333i	−0.322161	+	0.705435i	0.677383	+	0.735631i	$0.263114\pi$
$840$	−1.72101	+	3.76849i	−0.0593806	+	0.130025i
$841$	3.40155	−	23.6583i	0.117295	−	0.815804i
$842$	9.79956	−	6.29779i	0.337715	−	0.217036i
$843$	−22.9126	−	6.72775i	−0.789153	−	0.231716i
$844$	3.75459	+	26.1138i	0.129238	+	0.898873i
$845$	10.0018	+	11.5427i	0.344073	+	0.397082i
$846$	−3.21231	−	2.06443i	−0.110441	−	0.0709764i
$847$	−6.41446	+	7.40268i	−0.220404	+	0.254359i
$848$	−11.3912	+	3.34476i	−0.391176	+	0.114860i
$849$	−7.39809	−	16.1996i	−0.253902	−	0.555967i
$850$	−86.8112			−2.97760
$851$	−7.57218	−	2.59733i	−0.259571	−	0.0890354i
$852$	−6.60919			−0.226427
$853$	17.5321	+	38.3899i	0.600286	+	1.31444i	0.929023	+	0.370022i	$0.120650\pi$
$853$	17.5321	+	38.3899i	0.600286	+	1.31444i	−0.328736	+	0.944422i	$0.606623\pi$
$854$	4.03214	−	1.18394i	0.137977	−	0.0405137i
$855$	17.9407	−	20.7047i	0.613560	−	0.708086i
$856$	−6.31815	−	4.06043i	−0.215950	−	0.138783i
$857$	−22.5387	−	26.0111i	−0.769909	−	0.888522i	0.226429	−	0.974028i	$-0.427295\pi$
$857$	−22.5387	−	26.0111i	−0.769909	−	0.888522i	−0.996338	+	0.0855055i	$0.972749\pi$
$858$	0.638117	+	4.43820i	0.0217849	+	0.151518i
$859$	−12.7475	−	3.74301i	−0.434940	−	0.127710i	0.0569309	−	0.998378i	$-0.481869\pi$
$859$	−12.7475	−	3.74301i	−0.434940	−	0.127710i	−0.491871	+	0.870668i	$0.663687\pi$
$860$	−13.5949	+	8.73691i	−0.463582	+	0.297926i
$861$	−0.167745	+	1.16669i	−0.00571673	+	0.0397608i
$862$	−13.2097	+	28.9253i	−0.449925	+	0.985198i
$863$	17.1884	−	37.6374i	0.585100	−	1.28119i	−0.353258	−	0.935526i	$-0.614926\pi$
$863$	17.1884	−	37.6374i	0.585100	−	1.28119i	0.938358	−	0.345665i	$-0.112347\pi$
$864$	0.142315	−	0.989821i	0.00484165	−	0.0336744i
$865$	11.3883	−	7.31880i	0.387213	−	0.248847i
$866$	−6.26454	−	1.83943i	−0.212878	−	0.0625065i
$867$	4.82985	+	33.5924i	0.164030	+	1.14086i
$868$	−5.19631	−	5.99686i	−0.176374	−	0.203547i
$869$	−13.7435	−	8.83240i	−0.466216	−	0.299619i
$870$	−6.12587	+	7.06964i	−0.207687	+	0.239683i
$871$	−15.2049	+	4.46455i	−0.515198	+	0.151276i
$872$	2.59872	+	5.69041i	0.0880038	+	0.192702i
$873$	1.27800			0.0432536
$874$	−11.8683	−	29.4097i	−0.401453	−	0.994798i
$875$	29.6772			1.00327
$876$	−5.20076	−	11.3881i	−0.175717	−	0.384767i
$877$	−0.952177	+	0.279584i	−0.0321527	+	0.00944089i	−0.297769	−	0.954638i	$-0.596243\pi$
$877$	−0.952177	+	0.279584i	−0.0321527	+	0.00944089i	0.265617	+	0.964079i	$0.414424\pi$
$878$	21.3527	−	24.6423i	0.720617	−	0.831636i
$879$	−9.55134	−	6.13827i	−0.322159	−	0.207039i
$880$	2.97794	+	3.43673i	0.100386	+	0.115852i
$881$	1.50129	+	10.4417i	0.0505797	+	0.351790i	0.999357	+	0.0358452i	$0.0114123\pi$
$881$	1.50129	+	10.4417i	0.0505797	+	0.351790i	−0.948778	+	0.315945i	$0.897679\pi$
$882$	−0.959493	−	0.281733i	−0.0323078	−	0.00948643i
$883$	32.7987	−	21.0785i	1.10377	−	0.709347i	0.143839	−	0.989601i	$-0.454055\pi$
$883$	32.7987	−	21.0785i	1.10377	−	0.709347i	0.959926	+	0.280254i	$0.0904188\pi$
$884$	4.14911	−	28.8577i	0.139550	−	0.970588i
$885$	2.45952	−	5.38559i	0.0826757	−	0.181035i
$886$	−9.02263	+	19.7568i	−0.303121	+	0.663743i
$887$	−1.18391	+	8.23427i	−0.0397518	+	0.276480i	−0.999996	−	0.00268024i	$-0.999147\pi$
$887$	−1.18391	+	8.23427i	−0.0397518	+	0.276480i	0.960245	+	0.279160i	$0.0900559\pi$
$888$	1.40423	−	0.902443i	0.0471228	−	0.0302840i
$889$	−1.38272	−	0.406004i	−0.0463750	−	0.0136169i
$890$	−6.56595	−	45.6672i	−0.220091	−	1.53077i
$891$	−0.718811	−	0.829552i	−0.0240811	−	0.0277910i
$892$	17.3775	+	11.1678i	0.581840	+	0.373926i
$893$	16.5359	−	19.0835i	0.553354	−	0.638604i
$894$	−5.43393	+	1.59555i	−0.181738	+	0.0533630i
$895$	−33.9650	−	74.3729i	−1.13532	−	2.48601i
$896$	−1.00000			−0.0334077
$897$	−13.4798	+	14.2157i	−0.450078	+	0.474649i
$898$	19.5955			0.653911
$899$	−7.44295	−	16.2978i	−0.248236	−	0.543562i
$900$	−11.6707	+	3.42683i	−0.389024	+	0.114228i
$901$	55.4878	−	64.0363i	1.84857	−	2.13336i
$902$	1.08841	+	0.699478i	0.0362400	+	0.0232901i
$903$	−2.55444	−	2.94798i	−0.0850065	−	0.0981028i
$904$	1.38476	+	9.63119i	0.0460563	+	0.320329i
$905$	−5.83722	−	1.71396i	−0.194036	−	0.0569740i
$906$	11.7416	−	7.54588i	0.390089	−	0.250695i
$907$	5.18349	−	36.0520i	0.172115	−	1.19709i	−0.702290	−	0.711891i	$-0.747839\pi$
$907$	5.18349	−	36.0520i	0.172115	−	1.19709i	0.874405	−	0.485196i	$-0.161252\pi$
$908$	0.525685	−	1.15109i	0.0174455	−	0.0382002i
$909$	2.27099	−	4.97278i	0.0753240	−	0.164937i
$910$	−2.40844	+	16.7511i	−0.0798391	+	0.555293i
$911$	8.87327	−	5.70250i	0.293985	−	0.188932i	−0.385332	−	0.922778i	$-0.625913\pi$
$911$	8.87327	−	5.70250i	0.293985	−	0.188932i	0.679316	+	0.733846i	$0.262277\pi$
$912$	6.34499	+	1.86306i	0.210104	+	0.0616920i
$913$	2.11746	+	14.7273i	0.0700778	+	0.487402i
$914$	−19.7373	−	22.7781i	−0.652853	−	0.753433i
$915$	14.6461	+	9.41248i	0.484185	+	0.311167i
$916$	−10.9326	+	12.6169i	−0.361224	+	0.416875i
$917$	−3.32523	+	0.976376i	−0.109809	+	0.0322428i
$918$	2.96485	+	6.49211i	0.0978545	+	0.214272i
$919$	−19.1822			−0.632763			−0.316381	−	0.948632i	$-0.602468\pi$
$919$	−19.1822			−0.632763			−0.316381	+	0.948632i	$0.602468\pi$
$920$	−3.70618	+	19.5198i	−0.122189	+	0.643549i
$921$	15.9994			0.527200
$922$	−13.5717	−	29.7179i	−0.446961	−	0.978708i
$923$	−25.9044	+	7.60623i	−0.852655	+	0.250362i
$924$	−0.718811	+	0.829552i	−0.0236471	+	0.0272903i
$925$	−17.0802	−	10.9768i	−0.561595	−	0.360915i
$926$	−14.2618	−	16.4590i	−0.468671	−	0.540875i
$927$	2.03657	+	14.1647i	0.0668897	+	0.465228i
$928$	−2.16650	−	0.636142i	−0.0711189	−	0.0208824i
$929$	−19.1809	+	12.3268i	−0.629305	+	0.404430i	−0.816052	−	0.577978i	$-0.803842\pi$
$929$	−19.1809	+	12.3268i	−0.629305	+	0.404430i	0.186747	+	0.982408i	$0.440205\pi$
$930$	4.67841	−	32.5390i	0.153411	−	1.06700i
$931$	2.74708	−	6.01527i	0.0900320	−	0.197142i
$932$	8.48483	−	18.5792i	0.277930	−	0.608582i
$933$	3.68721	−	25.6451i	0.120714	−	0.839583i
$934$	−3.06541	+	1.97002i	−0.100303	+	0.0644610i
$935$	−31.1408	−	9.14376i	−1.01841	−	0.299033i
$936$	−0.581346	−	4.04335i	−0.0190019	−	0.132161i
$937$	7.85281	+	9.06263i	0.256540	+	0.296063i	0.869380	−	0.494144i	$-0.164518\pi$
$937$	7.85281	+	9.06263i	0.256540	+	0.296063i	−0.612840	+	0.790207i	$0.709973\pi$
$938$	−3.26350	−	2.09732i	−0.106557	−	0.0684801i
$939$	12.4025	−	14.3133i	0.404740	−	0.467095i
$940$	−15.1787	+	4.45686i	−0.495074	+	0.145367i
$941$	17.5693	+	38.4715i	0.572744	+	1.25413i	0.945323	+	0.326134i	$0.105746\pi$
$941$	17.5693	+	38.4715i	0.572744	+	1.25413i	−0.372579	+	0.928000i	$0.621527\pi$
$942$	−16.9056			−0.550816
$943$	0.552892	+	5.62569i	0.0180046	+	0.183198i
$944$	1.42911			0.0465136
$945$	−1.72101	−	3.76849i	−0.0559846	−	0.122589i
$946$	−4.10823	+	1.20629i	−0.133570	+	0.0392197i
$947$	34.5137	−	39.8309i	1.12154	−	1.29433i	0.170472	−	0.985363i	$-0.445471\pi$
$947$	34.5137	−	39.8309i	1.12154	−	1.29433i	0.951072	−	0.308968i	$-0.0999837\pi$
$948$	12.5208	+	8.04661i	0.406656	+	0.261342i
$949$	−33.4902	−	38.6497i	−1.08714	−	1.25462i
$950$	−11.4471	−	79.6163i	−0.371393	−	2.58309i
$951$	−30.6240	−	8.99201i	−0.993050	−	0.291586i
$952$	6.00409	−	3.85859i	0.194594	−	0.125058i
$953$	−4.01141	+	27.9000i	−0.129942	+	0.903768i	0.815680	+	0.578503i	$0.196363\pi$
$953$	−4.01141	+	27.9000i	−0.129942	+	0.903768i	−0.945623	+	0.325266i	$0.894546\pi$
$954$	4.93186	−	10.7993i	0.159675	−	0.349639i
$955$	−28.1305	+	61.5971i	−0.910280	+	1.99324i
$956$	0.737069	−	5.12643i	0.0238385	−	0.165801i
$957$	−2.08502	+	1.33996i	−0.0673991	+	0.0433147i
$958$	−6.05888	−	1.77905i	−0.195754	−	0.0574784i
$959$	−0.508957	−	3.53987i	−0.0164351	−	0.114308i
$960$	−2.71301	−	3.13098i	−0.0875619	−	0.101052i
$961$	26.8898	+	17.2810i	0.867412	+	0.557452i
$962$	4.46523	−	5.15316i	0.143965	−	0.166144i
$963$	7.20617	−	2.11592i	0.232216	−	0.0681847i
$964$	−7.37627	−	16.1518i	−0.237574	−	0.520214i
$965$	14.7097			0.473522
$966$	−4.79101	−	0.214947i	−0.154148	−	0.00691579i
$967$	−35.0353			−1.12666			−0.563329	−	0.826232i	$-0.690480\pi$
$967$	−35.0353			−1.12666			−0.563329	+	0.826232i	$0.690480\pi$
$968$	−4.06905	−	8.90999i	−0.130784	−	0.286378i
$969$	−45.2847	+	13.2968i	−1.45475	+	0.427154i
$970$	3.46721	−	4.00137i	0.111325	−	0.128476i
$971$	−32.2368	−	20.7173i	−1.03453	−	0.664851i	−0.0909010	−	0.995860i	$-0.528975\pi$
$971$	−32.2368	−	20.7173i	−1.03453	−	0.664851i	−0.943628	+	0.331009i	$0.892611\pi$
$972$	0.654861	+	0.755750i	0.0210047	+	0.0242407i
$973$	−0.877634	−	6.10408i	−0.0281357	−	0.195688i
$974$	3.97946	+	1.16847i	0.127510	+	0.0374403i
$975$	−41.7991	+	26.8627i	−1.33864	+	0.860293i
$976$	−0.598058	+	4.15959i	−0.0191434	+	0.133145i
$977$	21.0103	−	46.0062i	0.672180	−	1.47187i	−0.198541	−	0.980093i	$-0.563620\pi$
$977$	21.0103	−	46.0062i	0.672180	−	1.47187i	0.870721	−	0.491777i	$-0.163653\pi$
$978$	−10.3091	+	22.5738i	−0.329649	+	0.721830i
$979$	1.73965	−	12.0995i	0.0555994	−	0.386702i
$980$	−3.48521	+	2.23981i	−0.111331	+	0.0715480i
$981$	−6.00233	−	1.76244i	−0.191639	−	0.0562704i
$982$	−1.92836	−	13.4121i	−0.0615365	−	0.427996i
$983$	7.19021	+	8.29795i	0.229332	+	0.264663i	0.858740	−	0.512412i	$-0.171248\pi$
$983$	7.19021	+	8.29795i	0.229332	+	0.264663i	−0.629408	+	0.777075i	$0.716702\pi$
$984$	−0.991577	−	0.637248i	−0.0316103	−	0.0203147i
$985$	33.8954	−	39.1173i	1.08000	−	1.24638i
$986$	15.4625	−	4.54019i	0.492426	−	0.144589i
$987$	−1.58625	−	3.47341i	−0.0504910	−	0.110560i
$988$	27.0130			0.859399
$989$	−15.2685	−	10.8091i	−0.485509	−	0.343710i
$990$	−4.54745			−0.144527
$991$	13.4325	+	29.4131i	0.426698	+	0.934339i	0.993851	+	0.110726i	$0.0353177\pi$
$991$	13.4325	+	29.4131i	0.426698	+	0.934339i	−0.567153	+	0.823613i	$0.691955\pi$
$992$	7.61356	−	2.23554i	0.241731	−	0.0709786i
$993$	0.469549	−	0.541888i	0.0149007	−	0.0171963i
$994$	−5.56001	−	3.57320i	−0.176353	−	0.113335i
$995$	−5.11972	−	5.90847i	−0.162306	−	0.187311i
$996$	−1.92908	−	13.4170i	−0.0611252	−	0.425135i
$997$	3.15063	+	0.925110i	0.0997816	+	0.0292985i	0.331242	−	0.943546i	$-0.392532\pi$
$997$	3.15063	+	0.925110i	0.0997816	+	0.0292985i	−0.231461	+	0.972844i	$0.574350\pi$
$998$	12.3351	−	7.92726i	0.390460	−	0.250933i
$999$	−0.237553	+	1.65222i	−0.00751586	+	0.0522739i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.q.j.211.1	✓	40
23.6	even	11	inner	966.2.q.j.673.1	yes	40

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.q.j.211.1	✓	40	1.1	even	1	trivial
966.2.q.j.673.1	yes	40	23.6	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)

\(f(q)\)	\(=\)	\(q+(0.415415 + 0.909632i) q^{2} +(0.959493 - 0.281733i) q^{3} +(-0.654861 + 0.755750i) q^{4} +(-3.48521 - 2.23981i) q^{5} +(0.654861 + 0.755750i) q^{6} +(0.142315 + 0.989821i) q^{7} +(-0.959493 - 0.281733i) q^{8} +(0.841254 - 0.540641i) q^{9} +O(q^{10})\)	\(q+(0.415415 + 0.909632i) q^{2} +(0.959493 - 0.281733i) q^{3} +(-0.654861 + 0.755750i) q^{4} +(-3.48521 - 2.23981i) q^{5} +(0.654861 + 0.755750i) q^{6} +(0.142315 + 0.989821i) q^{7} +(-0.959493 - 0.281733i) q^{8} +(0.841254 - 0.540641i) q^{9} +(0.589593 - 4.10071i) q^{10} +(0.455982 - 0.998462i) q^{11} +(-0.415415 + 0.909632i) q^{12} +(-0.581346 + 4.04335i) q^{13} +(-0.841254 + 0.540641i) q^{14} +(-3.97506 - 1.16718i) q^{15} +(-0.142315 - 0.989821i) q^{16} +(4.67379 + 5.39384i) q^{17} +(0.841254 + 0.540641i) q^{18} +(-4.33050 + 4.99767i) q^{19} +(3.97506 - 1.16718i) q^{20} +(0.415415 + 0.909632i) q^{21} +1.09765 q^{22} +(2.97500 + 3.76157i) q^{23} -1.00000 q^{24} +(5.05287 + 11.0642i) q^{25} +(-3.91946 + 1.15086i) q^{26} +(0.654861 - 0.755750i) q^{27} +(-0.841254 - 0.540641i) q^{28} +(-1.47865 - 1.70646i) q^{29} +(-0.589593 - 4.10071i) q^{30} +(7.61356 + 2.23554i) q^{31} +(0.841254 - 0.540641i) q^{32} +(0.156213 - 1.08648i) q^{33} +(-2.96485 + 6.49211i) q^{34} +(1.72101 - 3.76849i) q^{35} +(-0.142315 + 0.989821i) q^{36} +(-1.40423 + 0.902443i) q^{37} +(-6.34499 - 1.86306i) q^{38} +(0.581346 + 4.04335i) q^{39} +(2.71301 + 3.13098i) q^{40} +(0.991577 + 0.637248i) q^{41} +(-0.654861 + 0.755750i) q^{42} +(-3.74273 + 1.09897i) q^{43} +(0.455982 + 0.998462i) q^{44} -4.14288 q^{45} +(-2.18578 + 4.26877i) q^{46} -3.81848 q^{47} +(-0.415415 - 0.909632i) q^{48} +(-0.959493 + 0.281733i) q^{49} +(-7.96535 + 9.19250i) q^{50} +(6.00409 + 3.85859i) q^{51} +(-2.67506 - 3.08718i) q^{52} +(-1.68958 - 11.7513i) q^{53} +(0.959493 + 0.281733i) q^{54} +(-3.82556 + 2.45854i) q^{55} +(0.142315 - 0.989821i) q^{56} +(-2.74708 + 6.01527i) q^{57} +(0.937993 - 2.05392i) q^{58} +(-0.203384 + 1.41456i) q^{59} +(3.48521 - 2.23981i) q^{60} +(-4.03214 - 1.18394i) q^{61} +(1.12927 + 7.85422i) q^{62} +(0.654861 + 0.755750i) q^{63} +(0.841254 + 0.540641i) q^{64} +(11.0824 - 12.7898i) q^{65} +(1.05319 - 0.309245i) q^{66} +(1.61153 + 3.52876i) q^{67} -7.13707 q^{68} +(3.91425 + 2.77104i) q^{69} +4.14288 q^{70} +(2.74556 + 6.01193i) q^{71} +(-0.959493 + 0.281733i) q^{72} +(-8.19848 + 9.46155i) q^{73} +(-1.40423 - 0.902443i) q^{74} +(7.96535 + 9.19250i) q^{75} +(-0.941108 - 6.54555i) q^{76} +(1.05319 + 0.309245i) q^{77} +(-3.43646 + 2.20848i) q^{78} +(2.11814 - 14.7320i) q^{79} +(-1.72101 + 3.76849i) q^{80} +(0.415415 - 0.909632i) q^{81} +(-0.167745 + 1.16669i) q^{82} +(-11.4032 + 7.32839i) q^{83} +(-0.959493 - 0.281733i) q^{84} +(-4.20797 - 29.2670i) q^{85} +(-2.55444 - 2.94798i) q^{86} +(-1.89952 - 1.22075i) q^{87} +(-0.718811 + 0.829552i) q^{88} +(10.6853 - 3.13749i) q^{89} +(-1.72101 - 3.76849i) q^{90} -4.08493 q^{91} +(-4.79101 - 0.214947i) q^{92} +7.93498 q^{93} +(-1.58625 - 3.47341i) q^{94} +(26.2865 - 7.71842i) q^{95} +(0.654861 - 0.755750i) q^{96} +(1.07512 + 0.690937i) q^{97} +(-0.654861 - 0.755750i) q^{98} +(-0.156213 - 1.08648i) 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	\( 40 q - 4 q^{2} + 4 q^{3} - 4 q^{4} - 4 q^{5} + 4 q^{6} + 4 q^{7} - 4 q^{8} - 4 q^{9} - 4 q^{10} - 11 q^{11} + 4 q^{12} - 20 q^{13} + 4 q^{14} - 7 q^{15} - 4 q^{16} + 5 q^{17} - 4 q^{18} + 44 q^{19} + 7 q^{20} - 4 q^{21} + 22 q^{22} - 6 q^{23} - 40 q^{24} + 2 q^{25} + 24 q^{26} + 4 q^{27} + 4 q^{28} + 35 q^{29} + 4 q^{30} - 2 q^{31} - 4 q^{32} - 11 q^{33} + 5 q^{34} - 7 q^{35} - 4 q^{36} + 20 q^{37} - 11 q^{38} + 20 q^{39} - 4 q^{40} + 11 q^{41} - 4 q^{42} - 42 q^{43} - 11 q^{44} - 4 q^{45} - 6 q^{46} + 40 q^{47} + 4 q^{48} - 4 q^{49} - 53 q^{50} + 17 q^{51} - 9 q^{52} - 32 q^{53} + 4 q^{54} + 29 q^{55} + 4 q^{56} - 11 q^{57} - 31 q^{58} - 25 q^{59} + 4 q^{60} - 30 q^{61} - 24 q^{62} + 4 q^{63} - 4 q^{64} + 80 q^{65} - 88 q^{67} - 28 q^{68} + 6 q^{69} + 4 q^{70} - 45 q^{71} - 4 q^{72} - 39 q^{73} + 20 q^{74} + 53 q^{75} - 22 q^{76} - 2 q^{78} + 26 q^{79} + 7 q^{80} - 4 q^{81} + 22 q^{83} - 4 q^{84} + 77 q^{85} - 31 q^{86} + 9 q^{87} - 11 q^{88} + 20 q^{89} + 7 q^{90} - 24 q^{91} - 17 q^{92} - 42 q^{93} - 26 q^{94} + 84 q^{95} + 4 q^{96} + 74 q^{97} - 4 q^{98} + 11 q^{99}+O(q^{100}) \) 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 - 11 * q^11 + 4 * q^12 - 20 * q^13 + 4 * q^14 - 7 * q^15 - 4 * q^16 + 5 * q^17 - 4 * q^18 + 44 * q^19 + 7 * q^20 - 4 * q^21 + 22 * q^22 - 6 * q^23 - 40 * q^24 + 2 * q^25 + 24 * q^26 + 4 * q^27 + 4 * q^28 + 35 * q^29 + 4 * q^30 - 2 * q^31 - 4 * q^32 - 11 * q^33 + 5 * q^34 - 7 * q^35 - 4 * q^36 + 20 * q^37 - 11 * q^38 + 20 * q^39 - 4 * q^40 + 11 * q^41 - 4 * q^42 - 42 * q^43 - 11 * q^44 - 4 * q^45 - 6 * q^46 + 40 * q^47 + 4 * q^48 - 4 * q^49 - 53 * q^50 + 17 * q^51 - 9 * q^52 - 32 * q^53 + 4 * q^54 + 29 * q^55 + 4 * q^56 - 11 * q^57 - 31 * q^58 - 25 * q^59 + 4 * q^60 - 30 * q^61 - 24 * q^62 + 4 * q^63 - 4 * q^64 + 80 * q^65 - 88 * q^67 - 28 * q^68 + 6 * q^69 + 4 * q^70 - 45 * q^71 - 4 * q^72 - 39 * q^73 + 20 * q^74 + 53 * q^75 - 22 * q^76 - 2 * q^78 + 26 * q^79 + 7 * q^80 - 4 * q^81 + 22 * q^83 - 4 * q^84 + 77 * q^85 - 31 * q^86 + 9 * q^87 - 11 * q^88 + 20 * q^89 + 7 * q^90 - 24 * q^91 - 17 * q^92 - 42 * q^93 - 26 * q^94 + 84 * q^95 + 4 * q^96 + 74 * q^97 - 4 * q^98 + 11 * q^99

Introduction

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