LMFDB - Embedded newform 966.2.q.g.85.2

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:	$30$
Relative dimension:	$3$ over $\Q(\zeta_{11})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			85.2
Character	$\chi$	$=$	966.85
Dual form			966.2.q.g.841.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.654861 - 0.755750i) q^{2} +(-0.841254 + 0.540641i) q^{3} +(-0.142315 - 0.989821i) q^{4} +(0.477791 + 1.04622i) q^{5} +(-0.142315 + 0.989821i) q^{6} +(0.959493 - 0.281733i) q^{7} +(-0.841254 - 0.540641i) q^{8} +(0.415415 - 0.909632i) q^{9} +O(q^{10})$	\(q+(0.654861 - 0.755750i) q^{2} +(-0.841254 + 0.540641i) q^{3} +(-0.142315 - 0.989821i) q^{4} +(0.477791 + 1.04622i) 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} +(1.10356 + 0.324036i) q^{10} +(-3.52809 - 4.07163i) q^{11} +(0.654861 + 0.755750i) q^{12} +(4.60854 + 1.35319i) q^{13} +(0.415415 - 0.909632i) q^{14} +(-0.967571 - 0.621820i) q^{15} +(-0.959493 + 0.281733i) q^{16} +(0.449195 - 3.12422i) q^{17} +(-0.415415 - 0.909632i) q^{18} +(0.222080 + 1.54460i) q^{19} +(0.967571 - 0.621820i) q^{20} +(-0.654861 + 0.755750i) q^{21} -5.38754 q^{22} +(2.69040 + 3.97011i) q^{23} +1.00000 q^{24} +(2.40802 - 2.77900i) q^{25} +(4.04063 - 2.59675i) q^{26} +(0.142315 + 0.989821i) q^{27} +(-0.415415 - 0.909632i) q^{28} +(1.38908 - 9.66124i) q^{29} +(-1.10356 + 0.324036i) q^{30} +(1.65199 + 1.06167i) q^{31} +(-0.415415 + 0.909632i) q^{32} +(5.16931 + 1.51785i) q^{33} +(-2.06697 - 2.38541i) q^{34} +(0.753191 + 0.869228i) q^{35} +(-0.959493 - 0.281733i) q^{36} +(0.469700 - 1.02850i) q^{37} +(1.31276 + 0.843659i) q^{38} +(-4.60854 + 1.35319i) q^{39} +(0.163684 - 1.13845i) q^{40} +(-0.999144 - 2.18782i) q^{41} +(0.142315 + 0.989821i) q^{42} +(1.88342 - 1.21040i) q^{43} +(-3.52809 + 4.07163i) q^{44} +1.15015 q^{45} +(4.76224 + 0.566602i) q^{46} +10.9837 q^{47} +(0.654861 - 0.755750i) q^{48} +(0.841254 - 0.540641i) q^{49} +(-0.523312 - 3.63972i) q^{50} +(1.31119 + 2.87111i) q^{51} +(0.683553 - 4.75422i) q^{52} +(10.3059 - 3.02608i) q^{53} +(0.841254 + 0.540641i) q^{54} +(2.57412 - 5.63653i) q^{55} +(-0.959493 - 0.281733i) q^{56} +(-1.02190 - 1.17933i) q^{57} +(-6.39183 - 7.37656i) q^{58} +(-3.97153 - 1.16615i) q^{59} +(-0.477791 + 1.04622i) q^{60} +(-0.568658 - 0.365454i) q^{61} +(1.88418 - 0.553246i) q^{62} +(0.142315 - 0.989821i) q^{63} +(0.415415 + 0.909632i) q^{64} +(0.786191 + 5.46808i) q^{65} +(4.53229 - 2.91272i) q^{66} +(-6.14782 + 7.09496i) q^{67} -3.15635 q^{68} +(-4.40971 - 1.88533i) q^{69} +1.15015 q^{70} +(-8.76646 + 10.1170i) q^{71} +(-0.841254 + 0.540641i) q^{72} +(-1.92297 - 13.3746i) q^{73} +(-0.469700 - 1.02850i) q^{74} +(-0.523312 + 3.63972i) q^{75} +(1.49727 - 0.439638i) q^{76} +(-4.53229 - 2.91272i) q^{77} +(-1.99528 + 4.36906i) q^{78} +(-3.81833 - 1.12116i) q^{79} +(-0.753191 - 0.869228i) q^{80} +(-0.654861 - 0.755750i) q^{81} +(-2.30775 - 0.677615i) q^{82} +(5.52406 - 12.0960i) q^{83} +(0.841254 + 0.540641i) q^{84} +(3.48323 - 1.02277i) q^{85} +(0.318618 - 2.21603i) q^{86} +(4.05470 + 8.87854i) q^{87} +(0.766727 + 5.33270i) q^{88} +(-10.2361 + 6.57834i) q^{89} +(0.753191 - 0.869228i) q^{90} +4.80310 q^{91} +(3.54682 - 3.22802i) q^{92} -1.96373 q^{93} +(7.19277 - 8.30090i) q^{94} +(-1.50988 + 0.970338i) q^{95} +(-0.142315 - 0.989821i) q^{96} +(4.02551 + 8.81464i) q^{97} +(0.142315 - 0.989821i) q^{98} +(-5.16931 + 1.51785i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 30 q + 3 q^{2} + 3 q^{3} - 3 q^{4} - 10 q^{5} - 3 q^{6} + 3 q^{7} + 3 q^{8} - 3 q^{9}+O(q^{10}) $ 30 * q + 3 * q^2 + 3 * q^3 - 3 * q^4 - 10 * q^5 - 3 * q^6 + 3 * q^7 + 3 * q^8 - 3 * q^9	\( 30 q + 3 q^{2} + 3 q^{3} - 3 q^{4} - 10 q^{5} - 3 q^{6} + 3 q^{7} + 3 q^{8} - 3 q^{9} + 10 q^{10} + 9 q^{11} + 3 q^{12} - 12 q^{13} - 3 q^{14} - q^{15} - 3 q^{16} + 5 q^{17} + 3 q^{18} + 18 q^{19} + q^{20} - 3 q^{21} + 2 q^{22} + 21 q^{23} + 30 q^{24} + 13 q^{25} - 10 q^{26} + 3 q^{27} + 3 q^{28} + 17 q^{29} - 10 q^{30} + 12 q^{31} + 3 q^{32} + 13 q^{33} + 17 q^{34} - q^{35} - 3 q^{36} + 16 q^{37} + 15 q^{38} + 12 q^{39} - 12 q^{40} + 10 q^{41} + 3 q^{42} - 35 q^{43} + 9 q^{44} + 12 q^{45} + q^{46} - 8 q^{47} + 3 q^{48} - 3 q^{49} - 2 q^{50} + 6 q^{51} - q^{52} + 42 q^{53} - 3 q^{54} + 49 q^{55} - 3 q^{56} + 15 q^{57} + 5 q^{58} - 6 q^{59} + 10 q^{60} - 18 q^{61} - 34 q^{62} + 3 q^{63} - 3 q^{64} + 34 q^{65} - 2 q^{66} + 72 q^{67} - 6 q^{68} - 10 q^{69} + 12 q^{70} + 17 q^{71} + 3 q^{72} + 9 q^{73} - 16 q^{74} - 2 q^{75} + 18 q^{76} + 2 q^{77} + 10 q^{78} - 56 q^{79} + q^{80} - 3 q^{81} + 12 q^{82} + 52 q^{83} - 3 q^{84} - 53 q^{85} - 31 q^{86} + 5 q^{87} + 13 q^{88} - 104 q^{89} - q^{90} + 34 q^{91} - 12 q^{92} + 32 q^{93} - 14 q^{94} - 92 q^{95} - 3 q^{96} - 82 q^{97} + 3 q^{98} - 13 q^{99}+O(q^{100}) \) 30 * q + 3 * q^2 + 3 * q^3 - 3 * q^4 - 10 * q^5 - 3 * q^6 + 3 * q^7 + 3 * q^8 - 3 * q^9 + 10 * q^10 + 9 * q^11 + 3 * q^12 - 12 * q^13 - 3 * q^14 - q^15 - 3 * q^16 + 5 * q^17 + 3 * q^18 + 18 * q^19 + q^20 - 3 * q^21 + 2 * q^22 + 21 * q^23 + 30 * q^24 + 13 * q^25 - 10 * q^26 + 3 * q^27 + 3 * q^28 + 17 * q^29 - 10 * q^30 + 12 * q^31 + 3 * q^32 + 13 * q^33 + 17 * q^34 - q^35 - 3 * q^36 + 16 * q^37 + 15 * q^38 + 12 * q^39 - 12 * q^40 + 10 * q^41 + 3 * q^42 - 35 * q^43 + 9 * q^44 + 12 * q^45 + q^46 - 8 * q^47 + 3 * q^48 - 3 * q^49 - 2 * q^50 + 6 * q^51 - q^52 + 42 * q^53 - 3 * q^54 + 49 * q^55 - 3 * q^56 + 15 * q^57 + 5 * q^58 - 6 * q^59 + 10 * q^60 - 18 * q^61 - 34 * q^62 + 3 * q^63 - 3 * q^64 + 34 * q^65 - 2 * q^66 + 72 * q^67 - 6 * q^68 - 10 * q^69 + 12 * q^70 + 17 * q^71 + 3 * q^72 + 9 * q^73 - 16 * q^74 - 2 * q^75 + 18 * q^76 + 2 * q^77 + 10 * q^78 - 56 * q^79 + q^80 - 3 * q^81 + 12 * q^82 + 52 * q^83 - 3 * q^84 - 53 * q^85 - 31 * q^86 + 5 * q^87 + 13 * q^88 - 104 * q^89 - q^90 + 34 * q^91 - 12 * q^92 + 32 * q^93 - 14 * q^94 - 92 * q^95 - 3 * q^96 - 82 * q^97 + 3 * q^98 - 13 * 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
$5$	0.477791	+	1.04622i	0.213675	+	0.467882i	0.985872	−	0.167501i	$-0.0535696\pi$
$5$	0.477791	+	1.04622i	0.213675	+	0.467882i	−0.772197	+	0.635383i	$0.780842\pi$
$6$	−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
$10$	1.10356	+	0.324036i	0.348978	+	0.102469i
$11$	−3.52809	−	4.07163i	−1.06376	−	1.22764i	−0.972766	−	0.231791i	$-0.925541\pi$
$11$	−3.52809	−	4.07163i	−1.06376	−	1.22764i	−0.0909932	−	0.995852i	$-0.529004\pi$
$12$	0.654861	+	0.755750i	0.189042	+	0.218166i
$13$	4.60854	+	1.35319i	1.27818	+	0.375308i	0.849231	−	0.528021i	$-0.177066\pi$
$13$	4.60854	+	1.35319i	1.27818	+	0.375308i	0.428949	+	0.903329i	$0.358884\pi$
$14$	0.415415	−	0.909632i	0.111024	−	0.243109i
$15$	−0.967571	−	0.621820i	−0.249826	−	0.160553i
$16$	−0.959493	+	0.281733i	−0.239873	+	0.0704331i
$17$	0.449195	−	3.12422i	0.108946	−	0.757735i	−0.859970	−	0.510344i	$-0.829518\pi$
$17$	0.449195	−	3.12422i	0.108946	−	0.757735i	0.968916	−	0.247390i	$-0.0795730\pi$
$18$	−0.415415	−	0.909632i	−0.0979143	−	0.214402i
$19$	0.222080	+	1.54460i	0.0509485	+	0.354355i	0.999309	+	0.0371611i	$0.0118315\pi$
$19$	0.222080	+	1.54460i	0.0509485	+	0.354355i	−0.948361	+	0.317194i	$0.897259\pi$
$20$	0.967571	−	0.621820i	0.216355	−	0.139043i
$21$	−0.654861	+	0.755750i	−0.142902	+	0.164918i
$22$	−5.38754			−1.14863
$23$	2.69040	+	3.97011i	0.560986	+	0.827825i
$23$	2.69040	+	3.97011i	0.560986	+	0.827825i
$24$	1.00000			0.204124
$25$	2.40802	−	2.77900i	0.481604	−	0.555800i
$26$	4.04063	−	2.59675i	0.792432	−	0.509265i
$27$	0.142315	+	0.989821i	0.0273885	+	0.190491i
$28$	−0.415415	−	0.909632i	−0.0785061	−	0.171904i
$29$	1.38908	−	9.66124i	0.257945	−	1.79405i	−0.289471	−	0.957187i	$-0.593479\pi$
$29$	1.38908	−	9.66124i	0.257945	−	1.79405i	0.547416	−	0.836861i	$-0.315612\pi$
$30$	−1.10356	+	0.324036i	−0.201482	+	0.0591606i
$31$	1.65199	+	1.06167i	0.296707	+	0.190682i	0.680521	−	0.732728i	$-0.261753\pi$
$31$	1.65199	+	1.06167i	0.296707	+	0.190682i	−0.383814	+	0.923410i	$0.625390\pi$
$32$	−0.415415	+	0.909632i	−0.0734357	+	0.160802i
$33$	5.16931	+	1.51785i	0.899861	+	0.264223i
$34$	−2.06697	−	2.38541i	−0.354482	−	0.409094i
$35$	0.753191	+	0.869228i	0.127312	+	0.146926i
$36$	−0.959493	−	0.281733i	−0.159915	−	0.0469554i
$37$	0.469700	−	1.02850i	0.0772182	−	0.169084i	−0.867086	−	0.498159i	$-0.834010\pi$
$37$	0.469700	−	1.02850i	0.0772182	−	0.169084i	0.944304	+	0.329075i	$0.106737\pi$
$38$	1.31276	+	0.843659i	0.212958	+	0.136860i
$39$	−4.60854	+	1.35319i	−0.737958	+	0.216684i
$40$	0.163684	−	1.13845i	0.0258807	−	0.180004i
$41$	−0.999144	−	2.18782i	−0.156040	−	0.341680i	0.815425	−	0.578863i	$-0.196503\pi$
$41$	−0.999144	−	2.18782i	−0.156040	−	0.341680i	−0.971465	+	0.237183i	$0.923776\pi$
$42$	0.142315	+	0.989821i	0.0219597	+	0.152733i
$43$	1.88342	−	1.21040i	0.287218	−	0.184584i	−0.389096	−	0.921197i	$-0.627213\pi$
$43$	1.88342	−	1.21040i	0.287218	−	0.184584i	0.676314	+	0.736613i	$0.263576\pi$
$44$	−3.52809	+	4.07163i	−0.531879	+	0.613821i
$45$	1.15015			0.171455
$46$	4.76224	+	0.566602i	0.702154	+	0.0835410i
$47$	10.9837			1.60213			0.801066	−	0.598575i	$-0.204266\pi$
$47$	10.9837			1.60213			0.801066	+	0.598575i	$0.204266\pi$
$48$	0.654861	−	0.755750i	0.0945210	−	0.109083i
$49$	0.841254	−	0.540641i	0.120179	−	0.0772344i
$50$	−0.523312	−	3.63972i	−0.0740076	−	0.514734i
$51$	1.31119	+	2.87111i	0.183604	+	0.402036i
$52$	0.683553	−	4.75422i	0.0947917	−	0.659291i
$53$	10.3059	−	3.02608i	1.41562	−	0.415663i	0.517602	−	0.855622i	$-0.326825\pi$
$53$	10.3059	−	3.02608i	1.41562	−	0.415663i	0.898018	+	0.439958i	$0.145007\pi$
$54$	0.841254	+	0.540641i	0.114480	+	0.0735719i
$55$	2.57412	−	5.63653i	0.347094	−	0.760030i
$56$	−0.959493	−	0.281733i	−0.128218	−	0.0376481i
$57$	−1.02190	−	1.17933i	−0.135354	−	0.156206i
$58$	−6.39183	−	7.37656i	−0.839288	−	0.968590i
$59$	−3.97153	−	1.16615i	−0.517049	−	0.151819i	0.0127886	−	0.999918i	$-0.495929\pi$
$59$	−3.97153	−	1.16615i	−0.517049	−	0.151819i	−0.529838	+	0.848099i	$0.677747\pi$
$60$	−0.477791	+	1.04622i	−0.0616826	+	0.135066i
$61$	−0.568658	−	0.365454i	−0.0728092	−	0.0467916i	0.503730	−	0.863861i	$-0.331961\pi$
$61$	−0.568658	−	0.365454i	−0.0728092	−	0.0467916i	−0.576539	+	0.817070i	$0.695597\pi$
$62$	1.88418	−	0.553246i	0.239292	−	0.0702624i
$63$	0.142315	−	0.989821i	0.0179300	−	0.124706i
$64$	0.415415	+	0.909632i	0.0519269	+	0.113704i
$65$	0.786191	+	5.46808i	0.0975150	+	0.678232i
$66$	4.53229	−	2.91272i	0.557886	−	0.358532i
$67$	−6.14782	+	7.09496i	−0.751075	+	0.866787i	−0.994672	−	0.103090i	$-0.967127\pi$
$67$	−6.14782	+	7.09496i	−0.751075	+	0.866787i	0.243597	+	0.969877i	$0.421673\pi$
$68$	−3.15635			−0.382763
$69$	−4.40971	−	1.88533i	−0.530867	−	0.226967i
$70$	1.15015			0.137470
$71$	−8.76646	+	10.1170i	−1.04039	+	1.20067i	−0.0611140	+	0.998131i	$0.519465\pi$
$71$	−8.76646	+	10.1170i	−1.04039	+	1.20067i	−0.979274	+	0.202541i	$0.935080\pi$
$72$	−0.841254	+	0.540641i	−0.0991427	+	0.0637151i
$73$	−1.92297	−	13.3746i	−0.225067	−	1.56538i	−0.718460	−	0.695569i	$-0.755153\pi$
$73$	−1.92297	−	13.3746i	−0.225067	−	1.56538i	0.493393	−	0.869807i	$-0.335757\pi$
$74$	−0.469700	−	1.02850i	−0.0546015	−	0.119561i
$75$	−0.523312	+	3.63972i	−0.0604269	+	0.420278i
$76$	1.49727	−	0.439638i	0.171749	−	0.0504300i
$77$	−4.53229	−	2.91272i	−0.516502	−	0.331936i
$78$	−1.99528	+	4.36906i	−0.225921	+	0.494698i
$79$	−3.81833	−	1.12116i	−0.429596	−	0.126141i	0.0597843	−	0.998211i	$-0.480959\pi$
$79$	−3.81833	−	1.12116i	−0.429596	−	0.126141i	−0.489380	+	0.872071i	$0.662777\pi$
$80$	−0.753191	−	0.869228i	−0.0842093	−	0.0971827i
$81$	−0.654861	−	0.755750i	−0.0727623	−	0.0839722i
$82$	−2.30775	−	0.677615i	−0.254848	−	0.0748301i
$83$	5.52406	−	12.0960i	0.606345	−	1.32771i	−0.318701	−	0.947855i	$-0.603247\pi$
$83$	5.52406	−	12.0960i	0.606345	−	1.32771i	0.925046	−	0.379855i	$-0.124026\pi$
$84$	0.841254	+	0.540641i	0.0917883	+	0.0589887i
$85$	3.48323	−	1.02277i	0.377810	−	0.110935i
$86$	0.318618	−	2.21603i	0.0343574	−	0.238961i
$87$	4.05470	+	8.87854i	0.434709	+	0.951880i
$88$	0.766727	+	5.33270i	0.0817334	+	0.568468i
$89$	−10.2361	+	6.57834i	−1.08502	+	0.697303i	−0.955713	−	0.294301i	$-0.904913\pi$
$89$	−10.2361	+	6.57834i	−1.08502	+	0.697303i	−0.129312	+	0.991604i	$0.541277\pi$
$90$	0.753191	−	0.869228i	0.0793933	−	0.0916247i
$91$	4.80310			0.503502
$92$	3.54682	−	3.22802i	0.369781	−	0.336544i
$93$	−1.96373			−0.203629
$94$	7.19277	−	8.30090i	0.741878	−	0.856173i
$95$	−1.50988	+	0.970338i	−0.154910	+	0.0995546i
$96$	−0.142315	−	0.989821i	−0.0145249	−	0.101023i
$97$	4.02551	+	8.81464i	0.408729	+	0.894991i	0.996310	+	0.0858260i	$0.0273529\pi$
$97$	4.02551	+	8.81464i	0.408729	+	0.894991i	−0.587581	+	0.809165i	$0.699920\pi$
$98$	0.142315	−	0.989821i	0.0143760	−	0.0999871i
$99$	−5.16931	+	1.51785i	−0.519535	+	0.152549i
$100$	−3.09341	−	1.98802i	−0.309341	−	0.198802i
$101$	7.37031	−	16.1387i	0.733373	−	1.60586i	−0.0607837	−	0.998151i	$-0.519360\pi$
$101$	7.37031	−	16.1387i	0.733373	−	1.60586i	0.794157	−	0.607713i	$-0.207913\pi$
$102$	3.02849	+	0.889246i	0.299866	+	0.0880485i
$103$	3.66338	+	4.22776i	0.360963	+	0.416574i	0.906962	−	0.421212i	$-0.138395\pi$
$103$	3.66338	+	4.22776i	0.360963	+	0.416574i	−0.545999	+	0.837786i	$0.683850\pi$
$104$	−3.14536	−	3.62994i	−0.308428	−	0.355945i
$105$	−1.10356	−	0.324036i	−0.107697	−	0.0316227i
$106$	4.46195	−	9.77031i	0.433383	−	0.948977i
$107$	−14.6017	−	9.38395i	−1.41160	−	0.907181i	−0.411610	−	0.911360i	$-0.635033\pi$
$107$	−14.6017	−	9.38395i	−1.41160	−	0.907181i	−0.999991	+	0.00417885i	$0.998670\pi$
$108$	0.959493	−	0.281733i	0.0923273	−	0.0271097i
$109$	−1.70782	+	11.8781i	−0.163579	+	1.13772i	0.728239	+	0.685323i	$0.240339\pi$
$109$	−1.70782	+	11.8781i	−0.163579	+	1.13772i	−0.891818	+	0.452394i	$0.850570\pi$
$110$	−2.57412	−	5.63653i	−0.245433	−	0.537422i
$111$	0.160912	+	1.11917i	0.0152731	+	0.106227i
$112$	−0.841254	+	0.540641i	−0.0794910	+	0.0510858i
$113$	−5.74516	+	6.63026i	−0.540459	+	0.623723i	−0.958633	−	0.284644i	$-0.908125\pi$
$113$	−5.74516	+	6.63026i	−0.540459	+	0.623723i	0.418174	+	0.908367i	$0.362670\pi$
$114$	−1.56048			−0.146152
$115$	−2.86815	+	4.71162i	−0.267456	+	0.439361i
$116$	−9.76059			−0.906248
$117$	3.14536	−	3.62994i	0.290789	−	0.335588i
$118$	−3.48212	+	2.23782i	−0.320555	+	0.206008i
$119$	−0.449195	−	3.12422i	−0.0411776	−	0.286397i
$120$	0.477791	+	1.04622i	0.0436162	+	0.0955061i
$121$	−2.56531	+	17.8421i	−0.233210	+	1.62201i
$122$	−0.648583	+	0.190441i	−0.0587200	+	0.0172417i
$123$	2.02336	+	1.30033i	0.182440	+	0.117247i
$124$	0.815763	−	1.78627i	0.0732576	−	0.160412i
$125$	9.57579	+	2.81171i	0.856485	+	0.251487i
$126$	−0.654861	−	0.755750i	−0.0583396	−	0.0673275i
$127$	7.27247	+	8.39288i	0.645328	+	0.744748i	0.980307	−	0.197478i	$-0.0632750\pi$
$127$	7.27247	+	8.39288i	0.645328	+	0.744748i	−0.334980	+	0.942225i	$0.608730\pi$
$128$	0.959493	+	0.281733i	0.0848080	+	0.0249019i
$129$	−0.930041	+	2.03650i	−0.0818855	+	0.179304i
$130$	4.64734	+	2.98667i	0.407599	+	0.261948i
$131$	−10.8912	+	3.19794i	−0.951569	+	0.279406i	−0.720440	−	0.693517i	$-0.756060\pi$
$131$	−10.8912	+	3.19794i	−0.951569	+	0.279406i	−0.231129	+	0.972923i	$0.574242\pi$
$132$	0.766727	−	5.33270i	0.0667350	−	0.464152i
$133$	0.648247	+	1.41946i	0.0562101	+	0.123083i
$134$	1.33605	+	9.29242i	0.115417	+	0.802743i
$135$	−0.967571	+	0.621820i	−0.0832752	+	0.0535178i
$136$	−2.06697	+	2.38541i	−0.177241	+	0.204547i
$137$	−4.45346			−0.380484			−0.190242	−	0.981737i	$-0.560927\pi$
$137$	−4.45346			−0.380484			−0.190242	+	0.981737i	$0.560927\pi$
$138$	−4.31258	+	2.09801i	−0.367111	+	0.178594i
$139$	−4.06557			−0.344837			−0.172419	−	0.985024i	$-0.555158\pi$
$139$	−4.06557			−0.344837			−0.172419	+	0.985024i	$0.555158\pi$
$140$	0.753191	−	0.869228i	0.0636562	−	0.0734632i
$141$	−9.24005	+	5.93822i	−0.778153	+	0.500088i
$142$	1.90513	+	13.2505i	0.159875	+	1.11196i
$143$	−10.7497	−	23.5385i	−0.898932	−	1.96839i
$144$	−0.142315	+	0.989821i	−0.0118596	+	0.0824851i
$145$	10.7714	−	3.16278i	0.894519	−	0.262655i
$146$	−11.3671	−	7.30520i	−0.940748	−	0.604582i
$147$	−0.415415	+	0.909632i	−0.0342629	+	0.0750252i
$148$	−1.08488	−	0.318548i	−0.0891762	−	0.0261845i
$149$	8.10615	+	9.35499i	0.664081	+	0.766391i	0.983438	−	0.181244i	$-0.0580123\pi$
$149$	8.10615	+	9.35499i	0.664081	+	0.766391i	−0.319357	+	0.947635i	$0.603467\pi$
$150$	2.40802	+	2.77900i	0.196614	+	0.226905i
$151$	15.4285	+	4.53022i	1.25556	+	0.368664i	0.840839	−	0.541286i	$-0.182062\pi$
$151$	15.4285	+	4.53022i	1.25556	+	0.368664i	0.414717	+	0.909950i	$0.363881\pi$
$152$	0.648247	−	1.41946i	0.0525798	−	0.115134i
$153$	−2.65529	−	1.70645i	−0.214667	−	0.137958i
$154$	−5.16931	+	1.51785i	−0.416555	+	0.122311i
$155$	−0.321431	+	2.23560i	−0.0258180	+	0.179568i
$156$	1.99528	+	4.36906i	0.159750	+	0.349805i
$157$	1.95988	+	13.6313i	0.156416	+	1.08790i	0.905170	+	0.425049i	$0.139743\pi$
$157$	1.95988	+	13.6313i	0.156416	+	1.08790i	−0.748755	+	0.662847i	$0.769348\pi$
$158$	−3.34779	+	2.15150i	−0.266336	+	0.171164i
$159$	−7.03383	+	8.11747i	−0.557819	+	0.643757i
$160$	−1.15015			−0.0909276
$161$	3.69993	+	3.05132i	0.291595	+	0.240478i
$162$	−1.00000			−0.0785674
$163$	−1.98114	+	2.28636i	−0.155175	+	0.179082i	−0.828014	−	0.560707i	$-0.810529\pi$
$163$	−1.98114	+	2.28636i	−0.155175	+	0.179082i	0.672839	+	0.739789i	$0.265075\pi$
$164$	−2.02336	+	1.30033i	−0.157998	+	0.101539i
$165$	0.881854	+	6.13343i	0.0686522	+	0.477487i
$166$	−5.52406	−	12.0960i	−0.428751	−	0.938833i
$167$	−0.907440	+	6.31138i	−0.0702198	+	0.488389i	0.924117	+	0.382111i	$0.124803\pi$
$167$	−0.907440	+	6.31138i	−0.0702198	+	0.488389i	−0.994336	+	0.106279i	$0.966106\pi$
$168$	0.959493	−	0.281733i	0.0740265	−	0.0217361i
$169$	8.47126	+	5.44415i	0.651636	+	0.418781i
$170$	1.50807	−	3.30222i	0.115664	−	0.253269i
$171$	1.49727	+	0.439638i	0.114499	+	0.0336200i
$172$	−1.46612	−	1.69199i	−0.111790	−	0.129013i
$173$	14.9090	+	17.2059i	1.13351	+	1.30814i	0.945369	+	0.326002i	$0.105702\pi$
$173$	14.9090	+	17.2059i	1.13351	+	1.30814i	0.188144	+	0.982141i	$0.439753\pi$
$174$	9.36522	+	2.74988i	0.709975	+	0.208468i
$175$	1.52754	−	3.34485i	0.115471	−	0.252847i
$176$	4.53229	+	2.91272i	0.341634	+	0.219555i
$177$	3.97153	−	1.16615i	0.298519	−	0.0876530i
$178$	−1.73164	+	12.0438i	−0.129792	+	0.902723i
$179$	1.52898	+	3.34801i	0.114282	+	0.250242i	0.958126	−	0.286346i	$-0.0924405\pi$
$179$	1.52898	+	3.34801i	0.114282	+	0.250242i	−0.843845	+	0.536587i	$0.819713\pi$
$180$	−0.163684	−	1.13845i	−0.0122003	−	0.0848548i
$181$	−0.373686	+	0.240154i	−0.0277759	+	0.0178505i	−0.554455	−	0.832214i	$-0.687073\pi$
$181$	−0.373686	+	0.240154i	−0.0277759	+	0.0178505i	0.526679	+	0.850064i	$0.323437\pi$
$182$	3.14536	−	3.62994i	0.233150	−	0.269069i
$183$	0.675965			0.0499688
$184$	−0.116903	−	4.79441i	−0.00861818	−	0.353448i
$185$	1.30045			0.0956111
$186$	−1.28597	+	1.48409i	−0.0942918	+	0.108819i
$187$	−14.3055	+	9.19357i	−1.04612	+	0.672300i
$188$	−1.56314	−	10.8719i	−0.114004	−	0.792913i
$189$	0.415415	+	0.909632i	0.0302170	+	0.0661660i
$190$	−0.255426	+	1.77652i	−0.0185305	+	0.128883i
$191$	−14.9574	+	4.39188i	−1.08228	+	0.317786i	−0.773790	−	0.633443i	$-0.781641\pi$
$191$	−14.9574	+	4.39188i	−1.08228	+	0.317786i	−0.308488	+	0.951228i	$0.599823\pi$
$192$	−0.841254	−	0.540641i	−0.0607122	−	0.0390174i
$193$	−5.76832	+	12.6309i	−0.415213	+	0.909190i	0.580286	+	0.814413i	$0.302941\pi$
$193$	−5.76832	+	12.6309i	−0.415213	+	0.909190i	−0.995499	+	0.0947765i	$0.969786\pi$
$194$	9.29781	+	2.73008i	0.667544	+	0.196009i
$195$	−3.61765	−	4.17499i	−0.259065	−	0.298978i
$196$	−0.654861	−	0.755750i	−0.0467758	−	0.0539821i
$197$	−13.3520	−	3.92050i	−0.951291	−	0.279324i	−0.230967	−	0.972962i	$-0.574189\pi$
$197$	−13.3520	−	3.92050i	−0.951291	−	0.279324i	−0.720324	+	0.693637i	$0.756007\pi$
$198$	−2.23806	+	4.90068i	−0.159052	+	0.348276i
$199$	9.00508	+	5.78721i	0.638353	+	0.410245i	0.819394	−	0.573231i	$-0.194310\pi$
$199$	9.00508	+	5.78721i	0.638353	+	0.410245i	−0.181041	+	0.983476i	$0.557947\pi$
$200$	−3.52820	+	1.03597i	−0.249481	+	0.0732543i
$201$	1.33605	−	9.29242i	0.0942376	−	0.655437i
$202$	−7.37031	−	16.1387i	−0.518573	−	1.13552i
$203$	−1.38908	−	9.66124i	−0.0974941	−	0.678086i
$204$	2.65529	−	1.70645i	0.185907	−	0.119475i
$205$	1.81155	−	2.09064i	0.126524	−	0.146017i
$206$	5.59413			0.389762
$207$	4.72897	−	0.798028i	0.328686	−	0.0554668i
$208$	−4.80310			−0.333035
$209$	5.50551	−	6.35370i	0.380824	−	0.439495i
$210$	−0.967571	+	0.621820i	−0.0667687	+	0.0429097i
$211$	−2.04328	−	14.2113i	−0.140665	−	0.978347i	−0.930830	−	0.365453i	$-0.880914\pi$
$211$	−2.04328	−	14.2113i	−0.140665	−	0.978347i	0.790165	−	0.612895i	$-0.209995\pi$
$212$	−4.46195	−	9.77031i	−0.306448	−	0.671028i
$213$	1.90513	−	13.2505i	0.130538	−	0.907909i
$214$	−16.6540	+	4.89006i	−1.13844	+	0.334278i
$215$	2.16622	+	1.39214i	0.147735	+	0.0949435i
$216$	0.415415	−	0.909632i	0.0282654	−	0.0618926i
$217$	1.88418	+	0.553246i	0.127907	+	0.0375568i
$218$	7.85850	+	9.06920i	0.532245	+	0.614244i
$219$	8.84855	+	10.2118i	0.597929	+	0.690047i
$220$	−5.94550	−	1.74576i	−0.400845	−	0.117699i
$221$	6.29780	−	13.7903i	0.423636	−	0.927633i
$222$	0.951185	+	0.611290i	0.0638394	+	0.0410271i
$223$	−18.8674	+	5.53998i	−1.26346	+	0.370984i	−0.843780	−	0.536689i	$-0.819675\pi$
$223$	−18.8674	+	5.53998i	−1.26346	+	0.370984i	−0.419677	+	0.907674i	$0.637857\pi$
$224$	−0.142315	+	0.989821i	−0.00950881	+	0.0661352i
$225$	−1.52754	−	3.34485i	−0.101836	−	0.222990i
$226$	1.24854	+	8.68380i	0.0830518	+	0.577638i
$227$	−18.7227	+	12.0323i	−1.24267	+	0.798613i	−0.985815	−	0.167838i	$-0.946321\pi$
$227$	−18.7227	+	12.0323i	−1.24267	+	0.798613i	−0.256851	+	0.966451i	$0.582685\pi$
$228$	−1.02190	+	1.17933i	−0.0676768	+	0.0781032i
$229$	−3.63018			−0.239889			−0.119945	−	0.992781i	$-0.538272\pi$
$229$	−3.63018			−0.239889			−0.119945	+	0.992781i	$0.538272\pi$
$230$	1.68257	+	5.25306i	0.110945	+	0.346376i
$231$	5.38754			0.354474
$232$	−6.39183	+	7.37656i	−0.419644	+	0.484295i
$233$	−10.9915	+	7.06381i	−0.720078	+	0.462766i	−0.848664	−	0.528933i	$-0.822592\pi$
$233$	−10.9915	+	7.06381i	−0.720078	+	0.462766i	0.128586	+	0.991698i	$0.458956\pi$
$234$	−0.683553	−	4.75422i	−0.0446853	−	0.310793i
$235$	5.24790	+	11.4913i	0.342335	+	0.749610i
$236$	−0.589069	+	4.09707i	−0.0383452	+	0.266696i
$237$	3.81833	−	1.12116i	0.248027	−	0.0728274i
$238$	−2.65529	−	1.70645i	−0.172117	−	0.110613i
$239$	3.43050	−	7.51175i	0.221901	−	0.485895i	−0.765638	−	0.643272i	$-0.777577\pi$
$239$	3.43050	−	7.51175i	0.221901	−	0.485895i	0.987539	+	0.157377i	$0.0503038\pi$
$240$	1.10356	+	0.324036i	0.0712348	+	0.0209164i
$241$	−13.1632	−	15.1912i	−0.847917	−	0.978549i	0.152034	−	0.988375i	$-0.451418\pi$
$241$	−13.1632	−	15.1912i	−0.847917	−	0.978549i	−0.999952	+	0.00982646i	$0.996872\pi$
$242$	11.8042	+	13.6228i	0.758806	+	0.875709i
$243$	0.959493	+	0.281733i	0.0615515	+	0.0180732i
$244$	−0.280806	+	0.614879i	−0.0179768	+	0.0393636i
$245$	0.967571	+	0.621820i	0.0618158	+	0.0397266i
$246$	2.30775	−	0.677615i	0.147136	−	0.0432032i
$247$	−1.06667	+	7.41886i	−0.0678707	+	0.472051i
$248$	−0.815763	−	1.78627i	−0.0518010	−	0.113428i
$249$	1.89246	+	13.1623i	0.119930	+	0.834130i
$250$	8.39575	−	5.39562i	0.530994	−	0.341249i
$251$	8.64784	−	9.98014i	0.545847	−	0.629941i	−0.414063	−	0.910248i	$-0.635891\pi$
$251$	8.64784	−	9.98014i	0.545847	−	0.629941i	0.959910	+	0.280307i	$0.0904363\pi$
$252$	−1.00000			−0.0629941
$253$	6.67286	−	24.9612i	0.419519	−	1.56930i
$254$	11.1054			0.696813
$255$	−2.37733	+	2.74359i	−0.148874	+	0.171810i
$256$	0.841254	−	0.540641i	0.0525783	−	0.0337901i
$257$	2.87691	+	20.0093i	0.179457	+	1.24815i	0.858024	+	0.513610i	$0.171692\pi$
$257$	2.87691	+	20.0093i	0.179457	+	1.24815i	−0.678567	+	0.734538i	$0.737399\pi$
$258$	0.930041	+	2.03650i	0.0579018	+	0.126787i
$259$	0.160912	−	1.11917i	0.00999858	−	0.0695417i
$260$	5.30053	−	1.55638i	0.328725	−	0.0965224i
$261$	−8.21113	−	5.27697i	−0.508256	−	0.326636i
$262$	−4.71537	+	10.3252i	−0.291317	+	0.637895i
$263$	−3.66840	−	1.07714i	−0.226203	−	0.0664192i	0.166667	−	0.986013i	$-0.446700\pi$
$263$	−3.66840	−	1.07714i	−0.226203	−	0.0664192i	−0.392870	+	0.919594i	$0.628518\pi$
$264$	−3.52809	−	4.07163i	−0.217139	−	0.250592i
$265$	8.08998	+	9.33634i	0.496964	+	0.573527i
$266$	1.49727	+	0.439638i	0.0918035	+	0.0269559i
$267$	5.05464	−	11.0681i	0.309339	−	0.677357i
$268$	7.89767	+	5.07552i	0.482427	+	0.310037i
$269$	16.3363	−	4.79678i	0.996043	−	0.292465i	0.257212	−	0.966355i	$-0.417196\pi$
$269$	16.3363	−	4.79678i	0.996043	−	0.292465i	0.738831	+	0.673890i	$0.235378\pi$
$270$	−0.163684	+	1.13845i	−0.00996149	+	0.0692837i
$271$	5.19452	+	11.3744i	0.315545	+	0.690947i	0.999246	−	0.0388150i	$-0.0123583\pi$
$271$	5.19452	+	11.3744i	0.315545	+	0.690947i	−0.683702	+	0.729762i	$0.739631\pi$
$272$	0.449195	+	3.12422i	0.0272365	+	0.189434i
$273$	−4.04063	+	2.59675i	−0.244550	+	0.157163i
$274$	−2.91639	+	3.36570i	−0.176186	+	0.203329i
$275$	−19.8108			−1.19463
$276$	−1.23857	+	4.63313i	−0.0745533	+	0.278882i
$277$	16.9114			1.01611			0.508055	−	0.861324i	$-0.330365\pi$
$277$	16.9114			1.01611			0.508055	+	0.861324i	$0.330365\pi$
$278$	−2.66238	+	3.07255i	−0.159679	+	0.184280i
$279$	1.65199	−	1.06167i	0.0989023	−	0.0635606i
$280$	−0.163684	−	1.13845i	−0.00978199	−	0.0680352i
$281$	−12.5076	−	27.3879i	−0.746143	−	1.63383i	−0.773176	−	0.634191i	$-0.781333\pi$
$281$	−12.5076	−	27.3879i	−0.746143	−	1.63383i	0.0270332	−	0.999635i	$-0.491394\pi$
$282$	−1.56314	+	10.8719i	−0.0930836	+	0.647411i
$283$	23.8792	−	7.01158i	1.41947	−	0.416795i	0.520148	−	0.854076i	$-0.325877\pi$
$283$	23.8792	−	7.01158i	1.41947	−	0.416795i	0.899325	+	0.437281i	$0.144058\pi$
$284$	11.2617	+	7.23743i	0.668257	+	0.429462i
$285$	0.745584	−	1.63260i	0.0441646	−	0.0967069i
$286$	−24.8287	−	7.29037i	−1.46815	−	0.431089i
$287$	−1.57505	−	1.81771i	−0.0929724	−	0.107296i
$288$	0.654861	+	0.755750i	0.0385880	+	0.0445330i
$289$	6.75240	+	1.98268i	0.397200	+	0.116629i
$290$	4.66352	−	10.2117i	0.273852	−	0.599651i
$291$	−8.15203	−	5.23899i	−0.477880	−	0.307115i
$292$	−12.9648	+	3.80680i	−0.758706	+	0.222776i
$293$	−0.190964	+	1.32819i	−0.0111563	+	0.0775935i	−0.994639	−	0.103409i	$-0.967025\pi$
$293$	−0.190964	+	1.32819i	−0.0111563	+	0.0775935i	0.983483	+	0.181002i	$0.0579341\pi$
$294$	0.415415	+	0.909632i	0.0242275	+	0.0530508i
$295$	−0.677520	−	4.71226i	−0.0394468	−	0.274358i
$296$	−0.951185	+	0.611290i	−0.0552865	+	0.0355305i
$297$	3.52809	−	4.07163i	0.204720	−	0.236260i
$298$	12.3784			0.717063
$299$	7.02650	+	21.9370i	0.406353	+	1.26865i
$300$	3.67715			0.212300
$301$	1.46612	−	1.69199i	0.0845056	−	0.0975246i
$302$	13.5273	−	8.69344i	0.778406	−	0.500251i
$303$	2.52496	+	17.5615i	0.145055	+	1.00888i
$304$	−0.648247	−	1.41946i	−0.0371795	−	0.0814118i
$305$	0.110645	−	0.769550i	0.00633549	−	0.0440643i
$306$	−3.02849	+	0.889246i	−0.173127	+	0.0508348i
$307$	−17.0084	−	10.9306i	−0.970718	−	0.623843i	−0.0437740	−	0.999041i	$-0.513938\pi$
$307$	−17.0084	−	10.9306i	−0.970718	−	0.623843i	−0.926944	+	0.375199i	$0.877575\pi$
$308$	−2.23806	+	4.90068i	−0.127526	+	0.279242i
$309$	−5.36753	−	1.57605i	−0.305348	−	0.0896583i
$310$	1.47906	+	1.70693i	0.0840051	+	0.0969470i
$311$	−1.55930	−	1.79953i	−0.0884200	−	0.102042i	0.709815	−	0.704388i	$-0.248778\pi$
$311$	−1.55930	−	1.79953i	−0.0884200	−	0.102042i	−0.798235	+	0.602346i	$0.794233\pi$
$312$	4.60854	+	1.35319i	0.260907	+	0.0766093i
$313$	0.232897	−	0.509973i	0.0131641	−	0.0288254i	−0.902936	−	0.429776i	$-0.858593\pi$
$313$	0.232897	−	0.509973i	0.0131641	−	0.0288254i	0.916100	+	0.400950i	$0.131320\pi$
$314$	11.5853	+	7.44542i	0.653796	+	0.420169i
$315$	1.10356	−	0.324036i	0.0621788	−	0.0182573i
$316$	−0.566346	+	3.93902i	−0.0318595	+	0.221587i
$317$	−13.9408	−	30.5261i	−0.782993	−	1.71452i	−0.695700	−	0.718333i	$-0.744906\pi$
$317$	−13.9408	−	30.5261i	−0.782993	−	1.71452i	−0.0872930	−	0.996183i	$-0.527822\pi$
$318$	1.52860	+	10.6316i	0.0857195	+	0.596192i
$319$	−44.2378	+	28.4299i	−2.47684	+	1.59177i
$320$	−0.753191	+	0.869228i	−0.0421046	+	0.0485913i
$321$	17.3571			0.968779
$322$	4.72897	−	0.798028i	0.263535	−	0.0444724i
$323$	4.92542			0.274058
$324$	−0.654861	+	0.755750i	−0.0363812	+	0.0419861i
$325$	14.8580	−	9.54864i	0.824173	−	0.529664i
$326$	0.430543	+	2.99449i	0.0238456	+	0.165850i
$327$	−4.98509	−	10.9158i	−0.275676	−	0.603647i
$328$	−0.342292	+	2.38069i	−0.0188999	+	0.131452i
$329$	10.5388	−	3.09446i	0.581020	−	0.170603i
$330$	5.21283	+	3.35008i	0.286957	+	0.184416i
$331$	2.34342	−	5.13138i	0.128806	−	0.282046i	−0.834231	−	0.551415i	$-0.814088\pi$
$331$	2.34342	−	5.13138i	0.128806	−	0.282046i	0.963037	+	0.269369i	$0.0868152\pi$
$332$	−12.7590	−	3.74639i	−0.700244	−	0.205610i
$333$	−0.740435	−	0.854508i	−0.0405756	−	0.0468267i
$334$	4.17558	+	4.81887i	0.228477	+	0.263677i
$335$	−10.3602	−	3.04204i	−0.566040	−	0.166204i
$336$	0.415415	−	0.909632i	0.0226627	−	0.0496245i
$337$	−14.2335	−	9.14729i	−0.775346	−	0.498285i	0.0921400	−	0.995746i	$-0.470629\pi$
$337$	−14.2335	−	9.14729i	−0.775346	−	0.498285i	−0.867486	+	0.497461i	$0.834266\pi$
$338$	9.66191	−	2.83699i	0.525539	−	0.154312i
$339$	1.24854	−	8.68380i	0.0678115	−	0.471639i
$340$	−1.50807	−	3.30222i	−0.0817868	−	0.179088i
$341$	−1.50564	−	10.4720i	−0.0815352	−	0.567090i
$342$	1.31276	−	0.843659i	0.0709859	−	0.0456199i
$343$	0.654861	−	0.755750i	0.0353592	−	0.0408066i
$344$	−2.23882			−0.120709
$345$	−0.134456	−	5.51430i	−0.00723887	−	0.296880i
$346$	22.7667			1.22395
$347$	−6.31560	+	7.28859i	−0.339039	+	0.391272i	−0.899509	−	0.436903i	$-0.856075\pi$
$347$	−6.31560	+	7.28859i	−0.339039	+	0.391272i	0.560469	+	0.828175i	$0.310621\pi$
$348$	8.21113	−	5.27697i	0.440163	−	0.282875i
$349$	4.78605	+	33.2877i	0.256191	+	1.78185i	0.559372	+	0.828916i	$0.311042\pi$
$349$	4.78605	+	33.2877i	0.256191	+	1.78185i	−0.303181	+	0.952933i	$0.598049\pi$
$350$	−1.52754	−	3.34485i	−0.0816505	−	0.178790i
$351$	−0.683553	+	4.75422i	−0.0364854	+	0.253761i
$352$	5.16931	−	1.51785i	0.275525	−	0.0809014i
$353$	9.38873	+	6.03377i	0.499712	+	0.321145i	0.766101	−	0.642720i	$-0.222194\pi$
$353$	9.38873	+	6.03377i	0.499712	+	0.321145i	−0.266389	+	0.963866i	$0.585831\pi$
$354$	1.71949	−	3.76515i	0.0913896	−	0.200115i
$355$	−14.7732	−	4.33779i	−0.784078	−	0.230226i
$356$	7.96813	+	9.19572i	0.422310	+	0.487372i
$357$	2.06697	+	2.38541i	0.109396	+	0.126249i
$358$	3.53152	+	1.03695i	0.186647	+	0.0548045i
$359$	−7.86516	+	17.2223i	−0.415107	+	0.908958i	0.580405	+	0.814328i	$0.302894\pi$
$359$	−7.86516	+	17.2223i	−0.415107	+	0.908958i	−0.995512	+	0.0946304i	$0.969833\pi$
$360$	−0.967571	−	0.621820i	−0.0509955	−	0.0327728i
$361$	15.8939	−	4.66687i	0.836521	−	0.245625i
$362$	−0.0632165	+	0.439681i	−0.00332259	+	0.0231091i
$363$	−7.48810	−	16.3967i	−0.393023	−	0.860601i
$364$	−0.683553	−	4.75422i	−0.0358279	−	0.249189i
$365$	13.0739	−	8.40210i	0.684320	−	0.439786i
$366$	0.442663	−	0.510860i	0.0231384	−	0.0267031i
$367$	−6.70809			−0.350160			−0.175080	−	0.984554i	$-0.556018\pi$
$367$	−6.70809			−0.350160			−0.175080	+	0.984554i	$0.556018\pi$
$368$	−3.69993	−	3.05132i	−0.192872	−	0.159061i
$369$	−2.40517			−0.125208
$370$	0.851615	−	0.982816i	0.0442733	−	0.0510941i
$371$	9.03586	−	5.80700i	0.469119	−	0.301484i
$372$	0.279468	+	1.94374i	0.0144897	+	0.100778i
$373$	−6.13070	−	13.4243i	−0.317435	−	0.695086i	0.681904	−	0.731442i	$-0.261152\pi$
$373$	−6.13070	−	13.4243i	−0.317435	−	0.695086i	−0.999339	+	0.0363556i	$0.988425\pi$
$374$	−2.42006	+	16.8319i	−0.125138	+	0.870355i
$375$	−9.57579	+	2.81171i	−0.494492	+	0.145196i
$376$	−9.24005	−	5.93822i	−0.476519	−	0.306240i
$377$	19.4751	−	42.6446i	1.00302	−	2.19631i
$378$	0.959493	+	0.281733i	0.0493510	+	0.0144908i
$379$	−9.46261	−	10.9204i	−0.486062	−	0.560945i	0.458747	−	0.888567i	$-0.348298\pi$
$379$	−9.46261	−	10.9204i	−0.486062	−	0.560945i	−0.944809	+	0.327622i	$0.893753\pi$
$380$	1.17534	+	1.35641i	0.0602936	+	0.0695825i
$381$	−10.6555	−	3.12875i	−0.545899	−	0.160290i
$382$	−6.47584	+	14.1801i	−0.331333	+	0.725517i
$383$	28.5695	+	18.3605i	1.45983	+	0.938178i	0.998707	+	0.0508446i	$0.0161913\pi$
$383$	28.5695	+	18.3605i	1.45983	+	0.938178i	0.461128	+	0.887334i	$0.347445\pi$
$384$	−0.959493	+	0.281733i	−0.0489639	+	0.0143771i
$385$	0.881854	−	6.13343i	0.0449434	−	0.312588i
$386$	5.76832	+	12.6309i	0.293600	+	0.642894i
$387$	−0.318618	−	2.21603i	−0.0161962	−	0.112647i
$388$	8.15203	−	5.23899i	0.413857	−	0.265969i
$389$	4.45996	−	5.14706i	0.226129	−	0.260967i	−0.631336	−	0.775510i	$-0.717493\pi$
$389$	4.45996	−	5.14706i	0.226129	−	0.260967i	0.857465	+	0.514543i	$0.172038\pi$
$390$	−5.52431			−0.279734
$391$	13.6120	−	6.62204i	0.688389	−	0.334891i
$392$	−1.00000			−0.0505076
$393$	7.43332	−	8.57851i	0.374961	−	0.432729i
$394$	−11.7066	+	7.52339i	−0.589771	+	0.379023i
$395$	−0.651385	−	4.53048i	−0.0327747	−	0.227953i
$396$	2.23806	+	4.90068i	0.112467	+	0.246268i
$397$	0.401804	−	2.79461i	0.0201659	−	0.140257i	−0.977251	−	0.212086i	$-0.931974\pi$
$397$	0.401804	−	2.79461i	0.0201659	−	0.140257i	0.997417	+	0.0718286i	$0.0228835\pi$
$398$	10.2708	−	3.01577i	0.514826	−	0.151167i
$399$	−1.31276	−	0.843659i	−0.0657202	−	0.0422358i
$400$	−1.52754	+	3.34485i	−0.0763771	+	0.167242i
$401$	14.0134	+	4.11471i	0.699797	+	0.205479i	0.612230	−	0.790680i	$-0.290273\pi$
$401$	14.0134	+	4.11471i	0.699797	+	0.205479i	0.0875672	+	0.996159i	$0.472091\pi$
$402$	−6.14782	−	7.09496i	−0.306625	−	0.353864i
$403$	6.17664	+	7.12823i	0.307681	+	0.355082i
$404$	−17.0234	−	4.99851i	−0.846944	−	0.248685i
$405$	0.477791	−	1.04622i	0.0237416	−	0.0519869i
$406$	−8.21113	−	5.27697i	−0.407512	−	0.261892i
$407$	−5.84481	+	1.71619i	−0.289717	+	0.0850685i
$408$	0.449195	−	3.12422i	0.0222385	−	0.154672i
$409$	−2.48282	−	5.43662i	−0.122768	−	0.268823i	0.838263	−	0.545267i	$-0.183572\pi$
$409$	−2.48282	−	5.43662i	−0.122768	−	0.268823i	−0.961030	+	0.276443i	$0.910844\pi$
$410$	−0.393688	−	2.73816i	−0.0194429	−	0.135228i
$411$	3.74649	−	2.40772i	0.184801	−	0.118764i
$412$	3.66338	−	4.22776i	0.180482	−	0.208287i
$413$	−4.13920			−0.203677
$414$	2.49371	−	4.09651i	0.122559	−	0.201333i
$415$	15.2944			0.750773
$416$	−3.14536	+	3.62994i	−0.154214	+	0.177973i
$417$	3.42018	−	2.19801i	0.167487	−	0.107637i
$418$	−1.19646	−	8.32158i	−0.0585209	−	0.407022i
$419$	7.97215	+	17.4566i	0.389465	+	0.852810i	0.998231	+	0.0594594i	$0.0189377\pi$
$419$	7.97215	+	17.4566i	0.389465	+	0.852810i	−0.608766	+	0.793350i	$0.708335\pi$
$420$	−0.163684	+	1.13845i	−0.00798696	+	0.0555505i
$421$	−32.8278	+	9.63912i	−1.59993	+	0.469782i	−0.955527	−	0.294904i	$-0.904712\pi$
$421$	−32.8278	+	9.63912i	−1.59993	+	0.469782i	−0.644403	+	0.764686i	$0.722894\pi$
$422$	−12.0783	−	7.76223i	−0.587960	−	0.377859i
$423$	4.56278	−	9.99110i	0.221850	−	0.485784i
$424$	−10.3059	−	3.02608i	−0.500497	−	0.146959i
$425$	−7.60054	−	8.77150i	−0.368681	−	0.425480i
$426$	−8.76646	−	10.1170i	−0.424737	−	0.490172i
$427$	−0.648583	−	0.190441i	−0.0313872	−	0.00921610i
$428$	−7.21040	+	15.7886i	−0.348528	+	0.763169i
$429$	21.7690	+	13.9901i	1.05102	+	0.675449i
$430$	2.47069	−	0.725459i	0.119147	−	0.0349847i
$431$	−2.18466	+	15.1946i	−0.105231	+	0.731899i	0.867073	+	0.498181i	$0.165998\pi$
$431$	−2.18466	+	15.1946i	−0.105231	+	0.731899i	−0.972304	+	0.233718i	$0.924911\pi$
$432$	−0.415415	−	0.909632i	−0.0199867	−	0.0437647i
$433$	4.25500	+	29.5942i	0.204482	+	1.42220i	0.790776	+	0.612106i	$0.209677\pi$
$433$	4.25500	+	29.5942i	0.204482	+	1.42220i	−0.586294	+	0.810099i	$0.699414\pi$
$434$	1.65199	−	1.06167i	0.0792982	−	0.0509619i
$435$	−7.35158	+	8.48418i	−0.352481	+	0.406785i
$436$	12.0003			0.574709
$437$	−5.53474	+	5.03726i	−0.264762	+	0.240965i
$438$	13.5121			0.645633
$439$	7.26885	−	8.38870i	0.346923	−	0.400371i	−0.555293	−	0.831655i	$-0.687394\pi$
$439$	7.26885	−	8.38870i	0.346923	−	0.400371i	0.902216	+	0.431284i	$0.141939\pi$
$440$	−5.21283	+	3.35008i	−0.248512	+	0.159709i
$441$	−0.142315	−	0.989821i	−0.00677690	−	0.0471344i
$442$	−6.29780	−	13.7903i	−0.299556	−	0.655936i
$443$	2.43425	−	16.9306i	0.115655	−	0.804396i	−0.846597	−	0.532235i	$-0.821352\pi$
$443$	2.43425	−	16.9306i	0.115655	−	0.804396i	0.962252	−	0.272161i	$-0.0877385\pi$
$444$	1.08488	−	0.318548i	0.0514859	−	0.0151176i
$445$	−11.7731	−	7.56611i	−0.558098	−	0.358668i
$446$	−8.16871	+	17.8870i	−0.386799	+	0.846973i
$447$	−11.8770	−	3.48741i	−0.561764	−	0.164949i
$448$	0.654861	+	0.755750i	0.0309393	+	0.0357058i
$449$	18.2305	+	21.0392i	0.860353	+	0.992900i	0.999996	+	0.00269805i	$0.000858817\pi$
$449$	18.2305	+	21.0392i	0.860353	+	0.992900i	−0.139644	+	0.990202i	$0.544596\pi$
$450$	−3.52820	−	1.03597i	−0.166321	−	0.0488362i
$451$	−5.38293	+	11.7870i	−0.253472	+	0.555027i
$452$	7.38040	+	4.74309i	0.347145	+	0.223096i
$453$	−15.4285	+	4.53022i	−0.724895	+	0.212849i
$454$	−3.16731	+	22.0291i	−0.148649	+	1.03388i
$455$	2.29488	+	5.02509i	0.107586	+	0.235580i
$456$	0.222080	+	1.54460i	0.0103998	+	0.0723324i
$457$	11.3651	−	7.30390i	0.531637	−	0.341662i	−0.247123	−	0.968984i	$-0.579485\pi$
$457$	11.3651	−	7.30390i	0.531637	−	0.341662i	0.778760	+	0.627322i	$0.215849\pi$
$458$	−2.37726	+	2.74351i	−0.111082	+	0.128196i
$459$	3.15635			0.147326
$460$	5.07184	+	2.16842i	0.236476	+	0.101103i
$461$	−33.9413			−1.58080			−0.790401	−	0.612590i	$-0.790128\pi$
$461$	−33.9413			−1.58080			−0.790401	+	0.612590i	$0.790128\pi$
$462$	3.52809	−	4.07163i	0.164142	−	0.189429i
$463$	13.0758	−	8.40333i	0.607685	−	0.390536i	−0.200303	−	0.979734i	$-0.564193\pi$
$463$	13.0758	−	8.40333i	0.607685	−	0.390536i	0.807988	+	0.589198i	$0.200556\pi$
$464$	1.38908	+	9.66124i	0.0644863	+	0.448512i
$465$	−0.938252	−	2.05449i	−0.0435104	−	0.0952745i
$466$	−1.85943	+	12.9326i	−0.0861366	+	0.599093i
$467$	−17.2188	+	5.05589i	−0.796789	+	0.233958i	−0.654694	−	0.755894i	$-0.727202\pi$
$467$	−17.2188	+	5.05589i	−0.796789	+	0.233958i	−0.142096	+	0.989853i	$0.545384\pi$
$468$	−4.04063	−	2.59675i	−0.186778	−	0.120035i
$469$	−3.89991	+	8.53960i	−0.180081	+	0.394322i
$470$	12.1212	+	3.55910i	0.559109	+	0.164169i
$471$	−9.01840	−	10.4078i	−0.415546	−	0.479565i
$472$	2.71060	+	3.12820i	0.124765	+	0.143987i
$473$	−11.5732	−	3.39819i	−0.532135	−	0.156249i
$474$	1.65316	−	3.61991i	0.0759320	−	0.166268i
$475$	4.82721	+	3.10226i	0.221488	+	0.142341i
$476$	−3.02849	+	0.889246i	−0.138811	+	0.0407585i
$477$	1.52860	−	10.6316i	0.0699896	−	0.486789i
$478$	−3.43050	−	7.51175i	−0.156908	−	0.343580i
$479$	−5.49118	−	38.1920i	−0.250898	−	1.74504i	−0.592844	−	0.805317i	$-0.701995\pi$
$479$	−5.49118	−	38.1920i	−0.250898	−	1.74504i	0.341946	−	0.939720i	$-0.388914\pi$
$480$	0.967571	−	0.621820i	0.0441634	−	0.0283821i
$481$	3.55639	−	4.10429i	0.162157	−	0.187140i
$482$	−20.1008			−0.915566
$483$	−4.76224	−	0.566602i	−0.216690	−	0.0257813i
$484$	18.0256			0.819345
$485$	−7.29867	+	8.42311i	−0.331416	+	0.382474i
$486$	0.841254	−	0.540641i	0.0381600	−	0.0245240i
$487$	−1.59507	−	11.0940i	−0.0722796	−	0.502716i	−0.993514	−	0.113708i	$-0.963727\pi$
$487$	−1.59507	−	11.0940i	−0.0722796	−	0.502716i	0.921235	−	0.389008i	$-0.127182\pi$
$488$	0.280806	+	0.614879i	0.0127115	+	0.0278343i
$489$	0.430543	−	2.99449i	0.0194698	−	0.135416i
$490$	1.10356	−	0.324036i	0.0498540	−	0.0146384i
$491$	4.21588	+	2.70938i	0.190260	+	0.122273i	0.632303	−	0.774721i	$-0.282110\pi$
$491$	4.21588	+	2.70938i	0.190260	+	0.122273i	−0.442043	+	0.896994i	$0.645746\pi$
$492$	0.999144	−	2.18782i	0.0450449	−	0.0986346i
$493$	−29.5599	−	8.67956i	−1.33131	−	0.390908i
$494$	4.90828	+	5.66446i	0.220834	+	0.254856i
$495$	−4.05784	−	4.68300i	−0.182387	−	0.210485i
$496$	−1.88418	−	0.553246i	−0.0846024	−	0.0248415i
$497$	−5.56106	+	12.1770i	−0.249448	+	0.546214i
$498$	11.1867	+	7.18928i	0.501290	+	0.322159i
$499$	34.5282	−	10.1384i	1.54570	−	0.453857i	0.605885	−	0.795552i	$-0.292819\pi$
$499$	34.5282	−	10.1384i	1.54570	−	0.453857i	0.939811	+	0.341695i	$0.111001\pi$
$500$	1.42031	−	9.87847i	0.0635182	−	0.441779i
$501$	−2.64880	−	5.80007i	−0.118340	−	0.259128i
$502$	−1.87936	−	13.0712i	−0.0838797	−	0.583396i
$503$	−10.5668	+	6.79086i	−0.471150	+	0.302789i	−0.754586	−	0.656202i	$-0.772162\pi$
$503$	−10.5668	+	6.79086i	−0.471150	+	0.302789i	0.283436	+	0.958991i	$0.408526\pi$
$504$	−0.654861	+	0.755750i	−0.0291698	+	0.0336638i
$505$	20.4061			0.908058
$506$	−14.4946	−	21.3891i	−0.644364	−	0.950862i
$507$	−10.0698			−0.447216
$508$	7.27247	−	8.39288i	0.322664	−	0.372374i
$509$	15.1009	−	9.70474i	0.669334	−	0.430155i	−0.161351	−	0.986897i	$-0.551585\pi$
$509$	15.1009	−	9.70474i	0.669334	−	0.430155i	0.830685	+	0.556742i	$0.187949\pi$
$510$	0.516643	+	3.59333i	0.0228774	+	0.159115i
$511$	−5.61313	−	12.2910i	−0.248310	−	0.543724i
$512$	0.142315	−	0.989821i	0.00628949	−	0.0437443i
$513$	−1.49727	+	0.439638i	−0.0661061	+	0.0194105i
$514$	17.0060	+	10.9291i	0.750103	+	0.482062i
$515$	−2.67283	+	5.85268i	−0.117779	+	0.257900i
$516$	2.14813	+	0.630749i	0.0945664	+	0.0277672i
$517$	−38.7514	−	44.7215i	−1.70428	−	1.96685i
$518$	−0.740435	−	0.854508i	−0.0325329	−	0.0375449i
$519$	−21.8445	−	6.41413i	−0.958868	−	0.281549i
$520$	2.29488	−	5.02509i	0.100637	−	0.220365i
$521$	0.368961	+	0.237117i	0.0161645	+	0.0103883i	0.548698	−	0.836021i	$-0.315124\pi$
$521$	0.368961	+	0.237117i	0.0161645	+	0.0103883i	−0.532534	+	0.846409i	$0.678760\pi$
$522$	−9.36522	+	2.74988i	−0.409904	+	0.120359i
$523$	4.81064	−	33.4588i	0.210355	−	1.46305i	−0.561620	−	0.827396i	$-0.689822\pi$
$523$	4.81064	−	33.4588i	0.210355	−	1.46305i	0.771974	−	0.635654i	$-0.219269\pi$
$524$	4.71537	+	10.3252i	0.205992	+	0.451060i
$525$	0.523312	+	3.63972i	0.0228392	+	0.158850i
$526$	−3.21634	+	2.06701i	−0.140239	+	0.0901261i
$527$	4.05897	−	4.68430i	0.176811	−	0.204051i
$528$	−5.38754			−0.234463
$529$	−8.52353	+	21.3623i	−0.370588	+	0.928797i
$530$	12.3537			0.536612
$531$	−2.71060	+	3.12820i	−0.117630	+	0.135752i
$532$	1.31276	−	0.843659i	0.0569153	−	0.0365773i
$533$	−1.64406	−	11.4347i	−0.0712122	−	0.495292i
$534$	−5.05464	−	11.0681i	−0.218735	−	0.478964i
$535$	2.84108	−	19.7601i	0.122831	−	0.854305i
$536$	9.00770	−	2.64490i	0.389073	−	0.114242i
$537$	−3.09633	−	1.98989i	−0.133617	−	0.0858701i
$538$	7.07286	−	15.4874i	0.304932	−	0.667709i
$539$	−5.16931	−	1.51785i	−0.222658	−	0.0653782i
$540$	0.753191	+	0.869228i	0.0324122	+	0.0374056i
$541$	19.9868	+	23.0660i	0.859299	+	0.991684i	0.999999	+	0.00163208i	$0.000519507\pi$
$541$	19.9868	+	23.0660i	0.859299	+	0.991684i	−0.140699	+	0.990052i	$0.544935\pi$
$542$	11.9979	+	3.52290i	0.515354	+	0.151322i
$543$	0.184528	−	0.404060i	0.00791886	−	0.0173399i
$544$	2.65529	+	1.70645i	0.113845	+	0.0731635i
$545$	−13.2431	+	3.88852i	−0.567271	+	0.166566i
$546$	−0.683553	+	4.75422i	−0.0292534	+	0.203462i
$547$	−15.2707	−	33.4382i	−0.652929	−	1.42971i	−0.888967	−	0.457971i	$-0.848576\pi$
$547$	−15.2707	−	33.4382i	−0.652929	−	1.42971i	0.236038	−	0.971744i	$-0.424151\pi$
$548$	0.633793	+	4.40813i	0.0270743	+	0.188306i
$549$	−0.568658	+	0.365454i	−0.0242697	+	0.0155972i
$550$	−12.9733	+	14.9720i	−0.553183	+	0.638407i
$551$	15.2312			0.648871
$552$	2.69040	+	3.97011i	0.114511	+	0.168979i
$553$	−3.97953			−0.169227
$554$	11.0746	−	12.7808i	0.470517	−	0.543005i
$555$	−1.09401	+	0.703077i	−0.0464381	+	0.0298440i
$556$	0.578591	+	4.02419i	0.0245377	+	0.170664i
$557$	−9.39109	−	20.5636i	−0.397913	−	0.871308i	−0.997478	−	0.0709819i	$-0.977387\pi$
$557$	−9.39109	−	20.5636i	−0.397913	−	0.871308i	0.599564	−	0.800327i	$-0.295341\pi$
$558$	0.279468	−	1.94374i	0.0118308	−	0.0822851i
$559$	10.3177	−	3.02955i	0.436393	−	0.128136i
$560$	−0.967571	−	0.621820i	−0.0408873	−	0.0262767i
$561$	7.06411	−	15.4682i	0.298247	−	0.653070i
$562$	−28.8892	−	8.48262i	−1.21862	−	0.357818i
$563$	−6.17391	−	7.12507i	−0.260199	−	0.300286i	0.610586	−	0.791950i	$-0.290934\pi$
$563$	−6.17391	−	7.12507i	−0.260199	−	0.300286i	−0.870785	+	0.491664i	$0.836389\pi$
$564$	7.19277	+	8.30090i	0.302870	+	0.349531i
$565$	−9.68168	−	2.84280i	−0.407311	−	0.119597i
$566$	10.3386	−	22.6383i	0.434563	−	0.951560i
$567$	−0.841254	−	0.540641i	−0.0353293	−	0.0227048i
$568$	12.8445	−	3.77149i	0.538943	−	0.158248i
$569$	−1.49444	+	10.3941i	−0.0626502	+	0.435742i	0.934221	+	0.356695i	$0.116097\pi$
$569$	−1.49444	+	10.3941i	−0.0626502	+	0.435742i	−0.996871	+	0.0790464i	$0.974812\pi$
$570$	−0.745584	−	1.63260i	−0.0312291	−	0.0683821i
$571$	1.88204	+	13.0899i	0.0787608	+	0.547794i	0.990552	+	0.137139i	$0.0437907\pi$
$571$	1.88204	+	13.0899i	0.0787608	+	0.547794i	−0.911791	+	0.410655i	$0.865300\pi$
$572$	−21.7690	+	13.9901i	−0.910210	+	0.584956i
$573$	10.2085	−	11.7813i	0.426467	−	0.492169i
$574$	−2.40517			−0.100390
$575$	17.5115	+	2.08348i	0.730279	+	0.0868871i
$576$	1.00000			0.0416667
$577$	3.53092	−	4.07490i	0.146994	−	0.169640i	−0.677478	−	0.735543i	$-0.736927\pi$
$577$	3.53092	−	4.07490i	0.146994	−	0.169640i	0.824472	+	0.565903i	$0.191472\pi$
$578$	5.92030	−	3.80474i	0.246252	−	0.158256i
$579$	−1.97614	−	13.7444i	−0.0821255	−	0.571196i
$580$	−4.66352	−	10.2117i	−0.193642	−	0.424017i
$581$	1.89246	−	13.1623i	0.0785125	−	0.546066i
$582$	−9.29781	+	2.73008i	−0.385407	+	0.113166i
$583$	−48.6811	−	31.2854i	−2.01616	−	1.29571i
$584$	−5.61313	+	12.2910i	−0.232273	+	0.508607i
$585$	5.30053	+	1.55638i	0.219150	+	0.0643483i
$586$	0.878722	+	1.01410i	0.0362997	+	0.0418920i
$587$	19.3608	+	22.3436i	0.799108	+	0.922219i	0.998332	−	0.0577345i	$-0.0183877\pi$
$587$	19.3608	+	22.3436i	0.799108	+	0.922219i	−0.199224	+	0.979954i	$0.563842\pi$
$588$	0.959493	+	0.281733i	0.0395688	+	0.0116185i
$589$	−1.27298	+	2.78744i	−0.0524523	+	0.114854i
$590$	−4.00497	−	2.57384i	−0.164882	−	0.105963i
$591$	13.3520	−	3.92050i	0.549228	−	0.161268i
$592$	−0.160912	+	1.11917i	−0.00661344	+	0.0459975i
$593$	7.41272	+	16.2316i	0.304404	+	0.666551i	0.998581	−	0.0532528i	$-0.0169589\pi$
$593$	7.41272	+	16.2316i	0.304404	+	0.666551i	−0.694177	+	0.719804i	$0.744232\pi$
$594$	−0.766727	−	5.33270i	−0.0314592	−	0.218803i
$595$	3.05399	−	1.96268i	0.125201	−	0.0804620i
$596$	8.10615	−	9.35499i	0.332041	−	0.383195i
$597$	−10.7044			−0.438100
$598$	21.1803	+	9.05544i	0.866126	+	0.370304i
$599$	−5.17040			−0.211257			−0.105628	−	0.994406i	$-0.533685\pi$
$599$	−5.17040			−0.211257			−0.105628	+	0.994406i	$0.533685\pi$
$600$	2.40802	−	2.77900i	0.0983070	−	0.113452i
$601$	25.9925	−	16.7043i	1.06025	−	0.681384i	0.110340	−	0.993894i	$-0.464806\pi$
$601$	25.9925	−	16.7043i	1.06025	−	0.681384i	0.949915	+	0.312509i	$0.101170\pi$
$602$	−0.318618	−	2.21603i	−0.0129859	−	0.0903188i
$603$	3.89991	+	8.53960i	0.158816	+	0.347759i
$604$	2.28840	−	15.9162i	0.0931139	−	0.647621i
$605$	−19.8924	+	5.84093i	−0.808741	+	0.237468i
$606$	14.9256	+	9.59207i	0.606309	+	0.389651i
$607$	−3.21608	+	7.04223i	−0.130537	+	0.285835i	−0.963603	−	0.267338i	$-0.913856\pi$
$607$	−3.21608	+	7.04223i	−0.130537	+	0.285835i	0.833066	+	0.553173i	$0.186583\pi$
$608$	−1.49727	−	0.439638i	−0.0607223	−	0.0178297i
$609$	6.39183	+	7.37656i	0.259010	+	0.298913i
$610$	−0.509130	−	0.587568i	−0.0206141	−	0.0237899i
$611$	50.6187	+	14.8630i	2.04781	+	0.601293i
$612$	−1.31119	+	2.87111i	−0.0530019	+	0.116058i
$613$	7.47595	+	4.80450i	0.301951	+	0.194052i	0.682839	−	0.730569i	$-0.260745\pi$
$613$	7.47595	+	4.80450i	0.301951	+	0.194052i	−0.380888	+	0.924621i	$0.624382\pi$
$614$	−19.3989	+	5.69603i	−0.782876	+	0.229873i
$615$	−0.393688	+	2.73816i	−0.0158750	+	0.110413i
$616$	2.23806	+	4.90068i	0.0901742	+	0.197454i
$617$	5.81159	+	40.4205i	0.233966	+	1.62727i	0.680672	+	0.732588i	$0.261688\pi$
$617$	5.81159	+	40.4205i	0.233966	+	1.62727i	−0.446707	+	0.894681i	$0.647403\pi$
$618$	−4.70608	+	3.02442i	−0.189306	+	0.121660i
$619$	−11.1048	+	12.8157i	−0.446341	+	0.515105i	−0.933680	−	0.358108i	$-0.883422\pi$
$619$	−11.1048	+	12.8157i	−0.446341	+	0.515105i	0.487339	+	0.873213i	$0.337967\pi$
$620$	2.25859			0.0907072
$621$	−3.54682	+	3.22802i	−0.142329	+	0.129536i
$622$	−2.38112			−0.0954743
$623$	−7.96813	+	9.19572i	−0.319237	+	0.368419i
$624$	4.04063	−	2.59675i	0.161755	−	0.103953i
$625$	−0.982988	−	6.83683i	−0.0393195	−	0.273473i
$626$	−0.232897	−	0.509973i	−0.00930844	−	0.0203826i
$627$	−1.19646	+	8.32158i	−0.0477821	+	0.332332i
$628$	13.2136	−	3.87987i	0.527281	−	0.154824i
$629$	−3.00227	−	1.92944i	−0.119708	−	0.0769319i
$630$	0.477791	−	1.04622i	0.0190357	−	0.0416823i
$631$	33.7279	+	9.90341i	1.34269	+	0.394249i	0.872628	−	0.488386i	$-0.162414\pi$
$631$	33.7279	+	9.90341i	1.34269	+	0.394249i	0.470060	+	0.882635i	$0.344232\pi$
$632$	2.60604	+	3.00753i	0.103663	+	0.119633i
$633$	9.40213	+	10.8506i	0.373701	+	0.431274i
$634$	−32.1993	−	9.45458i	−1.27880	−	0.375489i
$635$	−5.30605	+	11.6186i	−0.210564	+	0.461071i
$636$	9.03586	+	5.80700i	0.358295	+	0.230262i
$637$	4.60854	−	1.35319i	0.182597	−	0.0536154i
$638$	−7.48371	+	52.0503i	−0.296283	+	2.06069i
$639$	5.56106	+	12.1770i	0.219992	+	0.481716i
$640$	0.163684	+	1.13845i	0.00647018	+	0.0450011i
$641$	−29.8262	+	19.1681i	−1.17806	+	0.757096i	−0.975029	−	0.222076i	$-0.928717\pi$
$641$	−29.8262	+	19.1681i	−1.17806	+	0.757096i	−0.203035	+	0.979172i	$0.565080\pi$
$642$	11.3665	−	13.1176i	0.448599	−	0.517711i
$643$	−7.42052			−0.292637			−0.146318	−	0.989238i	$-0.546742\pi$
$643$	−7.42052			−0.292637			−0.146318	+	0.989238i	$0.546742\pi$
$644$	2.49371	−	4.09651i	0.0982658	−	0.161425i
$645$	−2.57499			−0.101390
$646$	3.22546	−	3.72238i	0.126904	−	0.146455i
$647$	−2.55459	+	1.64174i	−0.100431	+	0.0645433i	−0.589892	−	0.807482i	$-0.700830\pi$
$647$	−2.55459	+	1.64174i	−0.100431	+	0.0645433i	0.489461	+	0.872025i	$0.337194\pi$
$648$	0.142315	+	0.989821i	0.00559065	+	0.0388839i
$649$	9.26380	+	20.2849i	0.363636	+	0.796251i
$650$	2.51352	−	17.4819i	0.0985885	−	0.685698i
$651$	−1.88418	+	0.553246i	−0.0738470	+	0.0216834i
$652$	2.54503	+	1.63559i	0.0996712	+	0.0640548i
$653$	17.2829	−	37.8442i	0.676331	−	1.48096i	−0.190153	−	0.981755i	$-0.560898\pi$
$653$	17.2829	−	37.8442i	0.676331	−	1.48096i	0.866484	−	0.499205i	$-0.166374\pi$
$654$	−11.5142	−	3.38087i	−0.450240	−	0.132202i
$655$	−8.54946	−	9.86661i	−0.334055	−	0.385520i
$656$	1.57505	+	1.81771i	0.0614955	+	0.0709696i
$657$	−12.9648	−	3.80680i	−0.505804	−	0.148517i
$658$	4.56278	−	9.99110i	0.177876	−	0.389494i
$659$	11.6320	+	7.47542i	0.453118	+	0.291201i	0.747225	−	0.664571i	$-0.231386\pi$
$659$	11.6320	+	7.47542i	0.453118	+	0.291201i	−0.294107	+	0.955772i	$0.595022\pi$
$660$	5.94550	−	1.74576i	0.231428	−	0.0679534i
$661$	−1.67343	+	11.6390i	−0.0650889	+	0.452703i	0.931049	+	0.364895i	$0.118895\pi$
$661$	−1.67343	+	11.6390i	−0.0650889	+	0.452703i	−0.996137	+	0.0878079i	$0.972014\pi$
$662$	−2.34342	−	5.13138i	−0.0910797	−	0.199437i
$663$	2.15753	+	15.0060i	0.0837916	+	0.582783i
$664$	−11.1867	+	7.18928i	−0.434130	+	0.278998i
$665$	−1.17534	+	1.35641i	−0.0455777	+	0.0525995i
$666$	−1.13068			−0.0438128
$667$	42.0933	−	20.4778i	1.62986	−	0.792903i
$668$	6.37628			0.246706
$669$	12.8772	−	14.8610i	0.497860	−	0.574561i
$670$	−9.08353	+	5.83763i	−0.350927	+	0.225527i
$671$	0.518280	+	3.60472i	0.0200080	+	0.139159i
$672$	−0.415415	−	0.909632i	−0.0160250	−	0.0350898i
$673$	1.53056	−	10.6453i	0.0589989	−	0.410346i	−0.938824	−	0.344397i	$-0.888083\pi$
$673$	1.53056	−	10.6453i	0.0589989	−	0.410346i	0.997823	−	0.0659493i	$-0.0210076\pi$
$674$	−16.2340	+	4.76673i	−0.625310	+	0.183608i
$675$	3.09341	+	1.98802i	0.119065	+	0.0765187i
$676$	4.18315	−	9.15982i	0.160890	−	0.352301i
$677$	9.35727	+	2.74754i	0.359629	+	0.105597i	0.456556	−	0.889695i	$-0.349083\pi$
$677$	9.35727	+	2.74754i	0.359629	+	0.105597i	−0.0969264	+	0.995292i	$0.530901\pi$
$678$	−5.74516	−	6.63026i	−0.220641	−	0.254634i
$679$	6.34582	+	7.32347i	0.243530	+	0.281049i
$680$	−3.48323	−	1.02277i	−0.133576	−	0.0392214i
$681$	9.24534	−	20.2445i	0.354282	−	0.775769i
$682$	−8.90018	−	5.71980i	−0.340806	−	0.219022i
$683$	−1.06679	+	0.313238i	−0.0408196	+	0.0119857i	−0.302079	−	0.953283i	$-0.597681\pi$
$683$	−1.06679	+	0.313238i	−0.0408196	+	0.0119857i	0.261259	+	0.965269i	$0.415862\pi$
$684$	0.222080	−	1.54460i	0.00849142	−	0.0590591i
$685$	−2.12782	−	4.65928i	−0.0812999	−	0.178022i
$686$	−0.142315	−	0.989821i	−0.00543361	−	0.0377916i
$687$	3.05390	−	1.96263i	0.116514	−	0.0748788i
$688$	−1.46612	+	1.69199i	−0.0558952	+	0.0645065i
$689$	51.5899			1.96542
$690$	−4.25548	−	3.50949i	−0.162003	−	0.133604i
$691$	42.7002			1.62439			0.812197	−	0.583383i	$-0.198271\pi$
$691$	42.7002			1.62439			0.812197	+	0.583383i	$0.198271\pi$
$692$	14.9090	−	17.2059i	0.566756	−	0.654072i
$693$	−4.53229	+	2.91272i	−0.172167	+	0.110645i
$694$	1.37251	+	9.54603i	0.0520998	+	0.362362i
$695$	−1.94249	−	4.25347i	−0.0736830	−	0.161343i
$696$	1.38908	−	9.66124i	0.0526528	−	0.366208i
$697$	−7.28405	+	2.13879i	−0.275903	+	0.0810124i
$698$	28.2914	+	18.1817i	1.07084	+	0.688189i
$699$	5.42766	−	11.8849i	0.205293	−	0.449529i
$700$	−3.52820	−	1.03597i	−0.133353	−	0.0391561i
$701$	−18.7792	−	21.6723i	−0.709280	−	0.818552i	0.280695	−	0.959797i	$-0.409435\pi$
$701$	−18.7792	−	21.6723i	−0.709280	−	0.818552i	−0.989975	+	0.141245i	$0.954890\pi$
$702$	3.14536	+	3.62994i	0.118714	+	0.137003i
$703$	1.69293	+	0.497088i	0.0638500	+	0.0187480i
$704$	2.23806	−	4.90068i	0.0843502	−	0.184701i
$705$	−10.6275	−	6.82987i	−0.400254	−	0.257228i
$706$	10.7083	−	3.14425i	0.403013	−	0.118335i
$707$	2.52496	−	17.5615i	0.0949607	−	0.660466i
$708$	−1.71949	−	3.76515i	−0.0646222	−	0.141503i
$709$	5.07498	+	35.2973i	0.190595	+	1.32562i	0.830438	+	0.557112i	$0.188090\pi$
$709$	5.07498	+	35.2973i	0.190595	+	1.32562i	−0.639843	+	0.768506i	$0.721000\pi$
$710$	−12.9526	+	8.32416i	−0.486104	+	0.312400i
$711$	−2.60604	+	3.00753i	−0.0977340	+	0.112791i
$712$	12.1677			0.456003
$713$	0.229565	+	9.41492i	0.00859729	+	0.352591i
$714$	3.15635			0.118123
$715$	19.4902	−	22.4929i	0.728894	−	0.841188i
$716$	3.09633	−	1.98989i	0.115715	−	0.0743657i
$717$	1.17524	+	8.17396i	0.0438901	+	0.305262i
$718$	7.86516	+	17.2223i	0.293525	+	0.642731i
$719$	−5.83802	+	40.6043i	−0.217721	+	1.51429i	0.528698	+	0.848810i	$0.322680\pi$
$719$	−5.83802	+	40.6043i	−0.217721	+	1.51429i	−0.746419	+	0.665476i	$0.768229\pi$
$720$	−1.10356	+	0.324036i	−0.0411274	+	0.0120761i
$721$	4.70608	+	3.02442i	0.175264	+	0.112635i
$722$	6.88131	−	15.0680i	0.256096	−	0.560772i
$723$	19.2866	+	5.66305i	0.717275	+	0.210611i
$724$	0.290890	+	0.335705i	0.0108109	+	0.0124764i
$725$	−23.5037	−	27.1247i	−0.872905	−	1.00739i
$726$	−17.2954	−	5.07839i	−0.641893	−	0.188477i
$727$	1.33224	−	2.91720i	0.0494101	−	0.108193i	−0.883317	−	0.468776i	$-0.844695\pi$
$727$	1.33224	−	2.91720i	0.0494101	−	0.108193i	0.932727	+	0.360583i	$0.117422\pi$
$728$	−4.04063	−	2.59675i	−0.149756	−	0.0962421i
$729$	−0.959493	+	0.281733i	−0.0355368	+	0.0104345i
$730$	2.21171	−	15.3828i	0.0818592	−	0.569343i
$731$	−2.93553	−	6.42792i	−0.108575	−	0.237745i
$732$	−0.0961998	−	0.669084i	−0.00355565	−	0.0247301i
$733$	−15.9229	+	10.2330i	−0.588124	+	0.377965i	−0.800598	−	0.599202i	$-0.795484\pi$
$733$	−15.9229	+	10.2330i	−0.588124	+	0.377965i	0.212473	+	0.977167i	$0.431848\pi$
$734$	−4.39287	+	5.06964i	−0.162144	+	0.187124i
$735$	−1.15015			−0.0424241
$736$	−4.72897	+	0.798028i	−0.174312	+	0.0294157i
$737$	50.5781			1.86307
$738$	−1.57505	+	1.81771i	−0.0579785	+	0.0669107i
$739$	−23.4138	+	15.0471i	−0.861291	+	0.553518i	−0.895077	−	0.445911i	$-0.852880\pi$
$739$	−23.4138	+	15.0471i	−0.861291	+	0.553518i	0.0337864	+	0.999429i	$0.489243\pi$
$740$	−0.185074	−	1.28721i	−0.00680344	−	0.0473190i
$741$	−3.11360	−	6.81783i	−0.114381	−	0.250459i
$742$	1.52860	−	10.6316i	0.0561166	−	0.390299i
$743$	−19.6822	+	5.77922i	−0.722070	+	0.212019i	−0.622062	−	0.782968i	$-0.713705\pi$
$743$	−19.6822	+	5.77922i	−0.722070	+	0.212019i	−0.100008	+	0.994987i	$0.531887\pi$
$744$	1.65199	+	1.06167i	0.0605650	+	0.0389228i
$745$	−5.91430	+	12.9505i	−0.216683	+	0.474470i
$746$	−14.1602	−	4.15781i	−0.518442	−	0.152228i
$747$	−8.70814	−	10.0497i	−0.318614	−	0.367700i
$748$	11.1359	+	12.8515i	0.407168	+	0.469897i
$749$	−16.6540	−	4.89006i	−0.608524	−	0.178679i
$750$	−4.14586	+	9.07818i	−0.151386	+	0.331488i
$751$	14.4625	+	9.29445i	0.527742	+	0.339159i	0.777228	−	0.629219i	$-0.216625\pi$
$751$	14.4625	+	9.29445i	0.527742	+	0.339159i	−0.249486	+	0.968379i	$0.580262\pi$
$752$	−10.5388	+	3.09446i	−0.384309	+	0.112843i
$753$	−1.87936	+	13.0712i	−0.0684875	+	0.476341i
$754$	−19.4751	−	42.6446i	−0.709242	−	1.55302i
$755$	2.63202	+	18.3061i	0.0957889	+	0.666227i
$756$	0.841254	−	0.540641i	0.0305961	−	0.0196629i
$757$	11.3831	−	13.1368i	0.413725	−	0.477464i	−0.510190	−	0.860062i	$-0.670425\pi$
$757$	11.3831	−	13.1368i	0.413725	−	0.477464i	0.923915	+	0.382598i	$0.124970\pi$
$758$	−14.4498			−0.524841
$759$	7.88147	+	24.6063i	0.286079	+	0.893153i
$760$	1.79479			0.0651040
$761$	−9.12847	+	10.5348i	−0.330907	+	0.381887i	−0.896684	−	0.442671i	$-0.854031\pi$
$761$	−9.12847	+	10.5348i	−0.330907	+	0.381887i	0.565777	+	0.824558i	$0.308576\pi$
$762$	−9.34243	+	6.00402i	−0.338441	+	0.217503i
$763$	1.70782	+	11.8781i	0.0618271	+	0.430017i
$764$	6.47584	+	14.1801i	0.234288	+	0.513018i
$765$	0.516643	−	3.59333i	0.0186793	−	0.129917i
$766$	32.5850	−	9.56782i	1.17734	−	0.345699i
$767$	−16.7250	−	10.7485i	−0.603903	−	0.388105i
$768$	−0.415415	+	0.909632i	−0.0149900	+	0.0328235i
$769$	43.9361	+	12.9008i	1.58438	+	0.465215i	0.951144	−	0.308746i	$-0.0999095\pi$
$769$	43.9361	+	12.9008i	1.58438	+	0.465215i	0.633233	+	0.773962i	$0.281728\pi$
$770$	−4.05784	−	4.68300i	−0.146235	−	0.168764i
$771$	−13.2381	−	15.2775i	−0.476757	−	0.550207i
$772$	13.3232	+	3.91205i	0.479513	+	0.140798i
$773$	−4.41099	+	9.65872i	−0.158652	+	0.347400i	−0.972220	−	0.234071i	$-0.924795\pi$
$773$	−4.41099	+	9.65872i	−0.158652	+	0.347400i	0.813567	+	0.581471i	$0.197523\pi$
$774$	−1.88342	−	1.21040i	−0.0676980	−	0.0435069i
$775$	6.92842	−	2.03437i	0.248876	−	0.0730767i
$776$	1.37908	−	9.59170i	0.0495060	−	0.344322i
$777$	0.469700	+	1.02850i	0.0168504	+	0.0368972i
$778$	−0.969241	−	6.74122i	−0.0347490	−	0.241684i
$779$	3.15741	−	2.02915i	0.113126	−	0.0727017i
$780$	−3.61765	+	4.17499i	−0.129533	+	0.149489i
$781$	72.1217			2.58072
$782$	3.90937	−	14.6238i	0.139799	−	0.522945i
$783$	9.76059			0.348815
$784$	−0.654861	+	0.755750i	−0.0233879	+	0.0269911i
$785$	−13.3249	+	8.56338i	−0.475585	+	0.305640i
$786$	−1.61542	−	11.2355i	−0.0576199	−	0.400756i
$787$	−15.8716	−	34.7540i	−0.565762	−	1.23885i	−0.949023	−	0.315206i	$-0.897926\pi$
$787$	−15.8716	−	34.7540i	−0.565762	−	1.23885i	0.383261	−	0.923640i	$-0.374801\pi$
$788$	−1.98041	+	13.7740i	−0.0705491	+	0.490680i
$789$	3.66840	−	1.07714i	0.130598	−	0.0383471i
$790$	−3.85048	−	2.47455i	−0.136994	−	0.0880406i
$791$	−3.64448	+	7.98029i	−0.129583	+	0.283746i
$792$	5.16931	+	1.51785i	0.183683	+	0.0539343i
$793$	−2.12616	−	2.45371i	−0.0755020	−	0.0871339i
$794$	−1.84890	−	2.13374i	−0.0656149	−	0.0757236i
$795$	−11.8533	−	3.48045i	−0.420394	−	0.123439i
$796$	4.44675	−	9.73702i	0.157611	−	0.345120i
$797$	38.0823	+	24.4740i	1.34895	+	0.866915i	0.997594	−	0.0693284i	$-0.0220856\pi$
$797$	38.0823	+	24.4740i	1.34895	+	0.866915i	0.351352	+	0.936243i	$0.385722\pi$
$798$	−1.49727	+	0.439638i	−0.0530028	+	0.0155630i
$799$	4.93381	−	34.3154i	0.174546	−	1.21399i
$800$	1.52754	+	3.34485i	0.0540068	+	0.118258i
$801$	1.73164	+	12.0438i	0.0611845	+	0.425548i
$802$	12.2865	−	7.89608i	0.433853	−	0.278820i
$803$	−47.6719	+	55.0163i	−1.68230	+	1.94148i
$804$	−9.38797			−0.331088
$805$	−1.42455	+	5.32882i	−0.0502088	+	0.187816i
$806$	9.43199			0.332228
$807$	−11.1497	+	12.8674i	−0.392487	+	0.452954i
$808$	−14.9256	+	9.59207i	−0.525079	+	0.337448i
$809$	−2.95761	−	20.5706i	−0.103984	−	0.723225i	−0.973395	−	0.229135i	$-0.926410\pi$
$809$	−2.95761	−	20.5706i	−0.103984	−	0.723225i	0.869411	−	0.494090i	$-0.164499\pi$
$810$	−0.477791	−	1.04622i	−0.0167879	−	0.0367603i
$811$	5.70312	−	39.6661i	0.200264	−	1.39286i	−0.603238	−	0.797561i	$-0.706123\pi$
$811$	5.70312	−	39.6661i	0.200264	−	1.39286i	0.803501	−	0.595303i	$-0.202968\pi$
$812$	−9.36522	+	2.74988i	−0.328655	+	0.0965017i
$813$	−10.5194	−	6.76040i	−0.368931	−	0.237097i
$814$	−2.53053	+	5.54108i	−0.0886949	+	0.194215i
$815$	−3.33860	−	0.980301i	−0.116946	−	0.0343385i
$816$	−2.06697	−	2.38541i	−0.0723584	−	0.0835060i
$817$	2.28785	+	2.64032i	0.0800416	+	0.0923730i
$818$	−5.73462	−	1.68384i	−0.200506	−	0.0588740i
$819$	1.99528	−	4.36906i	0.0697208	−	0.152667i
$820$	−2.32717	−	1.49558i	−0.0812684	−	0.0522281i
$821$	4.19337	−	1.23128i	0.146350	−	0.0429721i	−0.207737	−	0.978185i	$-0.566610\pi$
$821$	4.19337	−	1.23128i	0.146350	−	0.0429721i	0.354087	+	0.935213i	$0.384792\pi$
$822$	0.633793	−	4.40813i	0.0221061	−	0.153751i
$823$	−2.81678	−	6.16789i	−0.0981868	−	0.214999i	0.854164	−	0.520003i	$-0.174069\pi$
$823$	−2.81678	−	6.16789i	−0.0981868	−	0.214999i	−0.952351	+	0.305004i	$0.901342\pi$
$824$	−0.796128	−	5.53719i	−0.0277344	−	0.192897i
$825$	16.6659	−	10.7105i	0.580232	−	0.372892i
$826$	−2.71060	+	3.12820i	−0.0943138	+	0.108844i
$827$	−38.5322			−1.33989			−0.669947	−	0.742409i	$-0.733683\pi$
$827$	−38.5322			−1.33989			−0.669947	+	0.742409i	$0.733683\pi$
$828$	−1.46291	−	4.56726i	−0.0508396	−	0.158723i
$829$	−38.9313			−1.35214			−0.676071	−	0.736837i	$-0.736319\pi$
$829$	−38.9313			−1.35214			−0.676071	+	0.736837i	$0.736319\pi$
$830$	10.0157	−	11.5587i	0.347650	−	0.401210i
$831$	−14.2268	+	9.14302i	−0.493523	+	0.317168i
$832$	0.683553	+	4.75422i	0.0236979	+	0.164823i
$833$	−1.31119	−	2.87111i	−0.0454302	−	0.0994782i
$834$	0.578591	−	4.02419i	0.0200350	−	0.139346i
$835$	−7.03664	+	2.06614i	−0.243513	+	0.0715018i
$836$	−7.07254	−	4.54525i	−0.244609	−	0.157201i
$837$	−0.815763	+	1.78627i	−0.0281969	+	0.0617425i
$838$	18.4134	+	5.40668i	0.636082	+	0.186771i
$839$	30.0346	+	34.6617i	1.03691	+	1.19666i	0.980148	+	0.198268i	$0.0635318\pi$
$839$	30.0346	+	34.6617i	1.03691	+	1.19666i	0.0567608	+	0.998388i	$0.481923\pi$
$840$	0.753191	+	0.869228i	0.0259875	+	0.0299912i
$841$	−63.5847	−	18.6702i	−2.19258	−	0.643799i
$842$	−14.2129	+	31.1219i	−0.489809	+	1.07253i
$843$	25.3291	+	16.2780i	0.872381	+	0.560645i
$844$	−13.7759	+	4.04496i	−0.474185	+	0.139233i
$845$	−1.64827	+	11.4639i	−0.0567021	+	0.394372i
$846$	−4.56278	−	9.99110i	−0.156872	−	0.343501i
$847$	2.56531	+	17.8421i	0.0881450	+	0.613062i
$848$	−9.03586	+	5.80700i	−0.310293	+	0.199413i
$849$	−16.2977	+	18.8086i	−0.559337	+	0.645510i
$850$	−11.6064			−0.398095
$851$	5.34693	−	0.902311i	0.183290	−	0.0309308i
$852$	−13.3868			−0.458623
$853$	−27.5210	+	31.7610i	−0.942302	+	1.08747i	0.0537370	+	0.998555i	$0.482887\pi$
$853$	−27.5210	+	31.7610i	−0.942302	+	1.08747i	−0.996039	+	0.0889192i	$0.971659\pi$
$854$	−0.568658	+	0.365454i	−0.0194591	+	0.0125056i
$855$	0.255426	+	1.77652i	0.00873537	+	0.0607558i
$856$	7.21040	+	15.7886i	0.246446	+	0.539642i
$857$	−0.689085	+	4.79269i	−0.0235387	+	0.163715i	−0.998200	−	0.0599698i	$-0.980900\pi$
$857$	−0.689085	+	4.79269i	−0.0235387	+	0.163715i	0.974662	+	0.223685i	$0.0718087\pi$
$858$	24.8287	−	7.29037i	0.847638	−	0.248889i
$859$	−2.07860	−	1.33584i	−0.0709210	−	0.0455781i	0.504700	−	0.863295i	$-0.331603\pi$
$859$	−2.07860	−	1.33584i	−0.0709210	−	0.0455781i	−0.575621	+	0.817717i	$0.695240\pi$
$860$	1.06969	−	2.34229i	0.0364761	−	0.0798715i
$861$	2.30775	+	0.677615i	0.0786477	+	0.0230931i
$862$	10.0527	+	11.6014i	0.342396	+	0.395146i
$863$	−9.04681	−	10.4406i	−0.307957	−	0.355401i	0.580583	−	0.814201i	$-0.302825\pi$
$863$	−9.04681	−	10.4406i	−0.307957	−	0.355401i	−0.888540	+	0.458800i	$0.848279\pi$
$864$	−0.959493	−	0.281733i	−0.0326426	−	0.00958474i
$865$	−10.8777	+	23.8189i	−0.369854	+	0.809868i
$866$	25.1522	+	16.1643i	0.854707	+	0.549287i
$867$	−6.75240	+	1.98268i	−0.229324	+	0.0673355i
$868$	0.279468	−	1.94374i	0.00948575	−	0.0659749i
$869$	8.90644	+	19.5024i	0.302130	+	0.661573i
$870$	1.59765	+	11.1119i	0.0541655	+	0.376729i
$871$	−37.9333	+	24.3783i	−1.28532	+	0.826026i
$872$	7.85850	−	9.06920i	0.266123	−	0.307122i
$873$	9.69034			0.327968
$874$	0.182424	+	7.48158i	0.00617060	+	0.253068i
$875$	9.98005			0.337387
$876$	8.84855	−	10.2118i	0.298965	−	0.345024i
$877$	−19.5049	+	12.5351i	−0.658635	+	0.423279i	−0.826813	−	0.562478i	$-0.809848\pi$
$877$	−19.5049	+	12.5351i	−0.658635	+	0.423279i	0.168177	+	0.985757i	$0.446212\pi$
$878$	−1.57967	−	10.9869i	−0.0533114	−	0.370789i
$879$	−0.557423	−	1.22059i	−0.0188014	−	0.0411693i
$880$	−0.881854	+	6.13343i	−0.0297273	+	0.206758i
$881$	19.5404	−	5.73757i	0.658332	−	0.193304i	0.0645311	−	0.997916i	$-0.479445\pi$
$881$	19.5404	−	5.73757i	0.658332	−	0.193304i	0.593801	+	0.804612i	$0.297627\pi$
$882$	−0.841254	−	0.540641i	−0.0283265	−	0.0182043i
$883$	−1.76349	+	3.86150i	−0.0593460	+	0.129950i	−0.936981	−	0.349379i	$-0.886393\pi$
$883$	−1.76349	+	3.86150i	−0.0593460	+	0.129950i	0.877635	+	0.479329i	$0.159120\pi$
$884$	−14.5462	−	4.27114i	−0.489241	−	0.143654i
$885$	3.11761	+	3.59791i	0.104797	+	0.120942i
$886$	−11.2012	−	12.9269i	−0.376311	−	0.434286i
$887$	51.8326	+	15.2194i	1.74037	+	0.511018i	0.988879	−	0.148725i	$-0.0475171\pi$
$887$	51.8326	+	15.2194i	1.74037	+	0.511018i	0.751491	+	0.659744i	$0.229335\pi$
$888$	0.469700	−	1.02850i	0.0157621	−	0.0345142i
$889$	9.34243	+	6.00402i	0.313335	+	0.201368i
$890$	−13.4278	+	3.94276i	−0.450101	+	0.132162i
$891$	−0.766727	+	5.33270i	−0.0256863	+	0.178652i
$892$	8.16871	+	17.8870i	0.273508	+	0.598900i
$893$	2.43925	+	16.9653i	0.0816263	+	0.567724i
$894$	−10.4134	+	6.69228i	−0.348276	+	0.223823i
$895$	−2.77220	+	3.19929i	−0.0926646	+	0.106941i
$896$	1.00000			0.0334077
$897$	−17.7711	−	14.6558i	−0.593361	−	0.489343i
$898$	27.8388			0.928993
$899$	12.5518	−	14.4856i	0.418626	−	0.483121i
$900$	−3.09341	+	1.98802i	−0.103114	+	0.0662672i
$901$	−4.82478	−	33.5571i	−0.160737	−	1.11795i
$902$	5.38293	+	11.7870i	0.179232	+	0.392463i
$903$	−0.318618	+	2.21603i	−0.0106029	+	0.0737450i
$904$	8.41773	−	2.47167i	0.279969	−	0.0822064i
$905$	−0.429797	−	0.276214i	−0.0142869	−	0.00918165i
$906$	−6.67982	+	14.6268i	−0.221922	+	0.485942i
$907$	21.0244	+	6.17332i	0.698103	+	0.204982i	0.611480	−	0.791260i	$-0.290574\pi$
$907$	21.0244	+	6.17332i	0.698103	+	0.204982i	0.0866229	+	0.996241i	$0.472392\pi$
$908$	14.5744	+	16.8197i	0.483667	+	0.558182i
$909$	−11.6186	−	13.4085i	−0.385364	−	0.444733i
$910$	5.30053	+	1.55638i	0.175711	+	0.0515934i
$911$	−18.3607	+	40.2044i	−0.608318	+	1.33203i	0.315400	+	0.948959i	$0.397861\pi$
$911$	−18.3607	+	40.2044i	−0.608318	+	1.33203i	−0.923718	+	0.383073i	$0.874866\pi$
$912$	1.31276	+	0.843659i	0.0434698	+	0.0279364i
$913$	−68.7399	+	20.1839i	−2.27496	+	0.667988i
$914$	1.92263	−	13.3722i	0.0635951	−	0.442313i
$915$	0.322970	+	0.707206i	0.0106771	+	0.0233795i
$916$	0.516629	+	3.59323i	0.0170699	+	0.118724i
$917$	−9.54906	+	6.13681i	−0.315338	+	0.202655i
$918$	2.06697	−	2.38541i	0.0682201	−	0.0787302i
$919$	−29.4100			−0.970145			−0.485072	−	0.874474i	$-0.661207\pi$
$919$	−29.4100			−0.970145			−0.485072	+	0.874474i	$0.661207\pi$
$920$	4.96013	−	2.41303i	0.163531	−	0.0795553i
$921$	20.2179			0.666202
$922$	−22.2268	+	25.6511i	−0.732001	+	0.844774i
$923$	−54.0909	+	34.7621i	−1.78042	+	1.14421i
$924$	−0.766727	−	5.33270i	−0.0252235	−	0.175433i
$925$	−1.72716	−	3.78194i	−0.0567885	−	0.124349i
$926$	2.21204	−	15.3851i	0.0726921	−	0.505585i
$927$	5.36753	−	1.57605i	0.176293	−	0.0517643i
$928$	8.21113	+	5.27697i	0.269544	+	0.173225i
$929$	6.86057	−	15.0226i	0.225088	−	0.492874i	−0.763069	−	0.646316i	$-0.776309\pi$
$929$	6.86057	−	15.0226i	0.225088	−	0.492874i	0.988158	+	0.153442i	$0.0490359\pi$
$930$	−2.16710	−	0.636318i	−0.0710621	−	0.0208657i
$931$	1.02190	+	1.17933i	0.0334913	+	0.0386511i
$932$	8.55617	+	9.87434i	0.280267	+	0.323445i
$933$	2.28467	+	0.670840i	0.0747967	+	0.0219623i
$934$	−7.45491	+	16.3240i	−0.243932	+	0.534137i
$935$	−16.4535	−	10.5740i	−0.538087	−	0.345807i
$936$	−4.60854	+	1.35319i	−0.150635	+	0.0442304i
$937$	−3.07272	+	21.3712i	−0.100381	+	0.698168i	0.876031	+	0.482254i	$0.160182\pi$
$937$	−3.07272	+	21.3712i	−0.100381	+	0.698168i	−0.976413	+	0.215913i	$0.930727\pi$
$938$	3.89991	+	8.53960i	0.127336	+	0.278828i
$939$	0.0797870	+	0.554931i	0.00260375	+	0.0181095i
$940$	10.6275	−	6.82987i	0.346630	−	0.222766i
$941$	−34.7834	+	40.1422i	−1.13391	+	1.30860i	−0.188735	+	0.982028i	$0.560439\pi$
$941$	−34.7834	+	40.1422i	−1.13391	+	1.30860i	−0.945173	+	0.326571i	$0.894107\pi$
$942$	−13.7715			−0.448699
$943$	5.99779	−	9.85282i	0.195315	−	0.320852i
$944$	4.13920			0.134719
$945$	−0.753191	+	0.869228i	−0.0245013	+	0.0282760i
$946$	−10.1470	+	6.52107i	−0.329907	+	0.212018i
$947$	6.36580	+	44.2751i	0.206861	+	1.43875i	0.783318	+	0.621621i	$0.213525\pi$
$947$	6.36580	+	44.2751i	0.206861	+	1.43875i	−0.576458	+	0.817127i	$0.695565\pi$
$948$	−1.65316	−	3.61991i	−0.0536920	−	0.117569i
$949$	9.23624	−	64.2395i	0.299821	−	2.08530i
$950$	5.50568	−	1.61661i	0.178628	−	0.0524499i
$951$	28.2314	+	18.1432i	0.915465	+	0.588334i
$952$	−1.31119	+	2.87111i	−0.0424960	+	0.0930534i
$953$	−3.43163	−	1.00762i	−0.111162	−	0.0326400i	0.225679	−	0.974202i	$-0.427540\pi$
$953$	−3.43163	−	1.00762i	−0.111162	−	0.0326400i	−0.336840	+	0.941562i	$0.609358\pi$
$954$	−7.03383	−	8.11747i	−0.227729	−	0.262813i
$955$	−11.7414	−	13.5503i	−0.379942	−	0.438476i
$956$	−7.92350	−	2.32655i	−0.256264	−	0.0752460i
$957$	21.8448	−	47.8335i	0.706143	−	1.54624i
$958$	−32.4595	−	20.8605i	−1.04872	−	0.673971i
$959$	−4.27306	+	1.25468i	−0.137984	+	0.0405158i
$960$	0.163684	−	1.13845i	0.00528288	−	0.0367432i
$961$	−11.2759	−	24.6908i	−0.363740	−	0.796479i
$962$	−0.772877	−	5.37548i	−0.0249186	−	0.173312i
$963$	−14.6017	+	9.38395i	−0.470534	+	0.302394i
$964$	−13.1632	+	15.1912i	−0.423959	+	0.489274i
$965$	−15.9707			−0.514114
$966$	−3.54682	+	3.22802i	−0.114117	+	0.103860i
$967$	−43.5291			−1.39980			−0.699901	−	0.714240i	$-0.746772\pi$
$967$	−43.5291			−1.39980			−0.699901	+	0.714240i	$0.746772\pi$
$968$	11.8042	−	13.6228i	0.379403	−	0.437854i
$969$	−4.14353	+	2.66288i	−0.133109	+	0.0855441i
$970$	1.58615	+	11.0319i	0.0509283	+	0.354214i
$971$	5.76577	+	12.6253i	0.185032	+	0.405165i	0.979303	−	0.202400i	$-0.0648740\pi$
$971$	5.76577	+	12.6253i	0.185032	+	0.405165i	−0.794271	+	0.607564i	$0.792147\pi$
$972$	0.142315	−	0.989821i	0.00456475	−	0.0317485i
$973$	−3.90089	+	1.14540i	−0.125057	+	0.0367200i
$974$	−9.42881	−	6.05953i	−0.302119	−	0.194160i
$975$	−7.33694	+	16.0657i	−0.234970	+	0.514513i
$976$	0.648583	+	0.190441i	0.0207606	+	0.00609588i
$977$	7.06170	+	8.14964i	0.225924	+	0.260730i	0.857383	−	0.514679i	$-0.172089\pi$
$977$	7.06170	+	8.14964i	0.225924	+	0.260730i	−0.631459	+	0.775409i	$0.717544\pi$
$978$	−1.98114	−	2.28636i	−0.0633499	−	0.0731097i
$979$	62.8984	+	18.4687i	2.01024	+	0.590261i
$980$	0.477791	−	1.04622i	0.0152625	−	0.0334202i
$981$	10.0953	+	6.48783i	0.322317	+	0.207141i
$982$	4.80842	−	1.41188i	0.153443	−	0.0450549i
$983$	1.40518	−	9.77324i	0.0448183	−	0.311718i	−0.955064	−	0.296399i	$-0.904214\pi$
$983$	1.40518	−	9.77324i	0.0448183	−	0.311718i	0.999883	−	0.0153196i	$-0.00487656\pi$
$984$	−0.999144	−	2.18782i	−0.0318516	−	0.0697452i
$985$	−2.27777	−	15.8423i	−0.0725759	−	0.504777i
$986$	−25.9172	+	16.6560i	−0.825371	+	0.530434i
$987$	−7.19277	+	8.30090i	−0.228949	+	0.264221i
$988$	7.49515			0.238452
$989$	9.87256	+	4.22092i	0.313929	+	0.134217i
$990$	−6.19650			−0.196938
$991$	−11.8708	+	13.6996i	−0.377088	+	0.435183i	−0.912292	−	0.409540i	$-0.865689\pi$
$991$	−11.8708	+	13.6996i	−0.377088	+	0.435183i	0.535204	+	0.844723i	$0.320235\pi$
$992$	−1.65199	+	1.06167i	−0.0524509	+	0.0337081i
$993$	0.802821	+	5.58374i	0.0254768	+	0.177195i
$994$	5.56106	+	12.1770i	0.176386	+	0.386232i
$995$	−1.75213	+	12.1863i	−0.0555463	+	0.386333i
$996$	12.7590	−	3.74639i	0.404286	−	0.118709i
$997$	−23.2954	−	14.9710i	−0.737772	−	0.474137i	0.117006	−	0.993131i	$-0.462670\pi$
$997$	−23.2954	−	14.9710i	−0.737772	−	0.474137i	−0.854778	+	0.518994i	$0.826307\pi$
$998$	14.9491	−	32.7339i	0.473205	−	1.03617i
$999$	1.08488	+	0.318548i	0.0343240	+	0.0100784i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.q.g.85.2	✓	30
23.13	even	11	inner	966.2.q.g.841.2	yes	30

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.q.g.85.2	✓	30	1.1	even	1	trivial
966.2.q.g.841.2	yes	30	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)

\(f(q)\)	\(=\)	\(q+(0.654861 - 0.755750i) q^{2} +(-0.841254 + 0.540641i) q^{3} +(-0.142315 - 0.989821i) q^{4} +(0.477791 + 1.04622i) q^{5} +(-0.142315 + 0.989821i) q^{6} +(0.959493 - 0.281733i) q^{7} +(-0.841254 - 0.540641i) q^{8} +(0.415415 - 0.909632i) q^{9} +O(q^{10})\)	\(q+(0.654861 - 0.755750i) q^{2} +(-0.841254 + 0.540641i) q^{3} +(-0.142315 - 0.989821i) q^{4} +(0.477791 + 1.04622i) 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} +(1.10356 + 0.324036i) q^{10} +(-3.52809 - 4.07163i) q^{11} +(0.654861 + 0.755750i) q^{12} +(4.60854 + 1.35319i) q^{13} +(0.415415 - 0.909632i) q^{14} +(-0.967571 - 0.621820i) q^{15} +(-0.959493 + 0.281733i) q^{16} +(0.449195 - 3.12422i) q^{17} +(-0.415415 - 0.909632i) q^{18} +(0.222080 + 1.54460i) q^{19} +(0.967571 - 0.621820i) q^{20} +(-0.654861 + 0.755750i) q^{21} -5.38754 q^{22} +(2.69040 + 3.97011i) q^{23} +1.00000 q^{24} +(2.40802 - 2.77900i) q^{25} +(4.04063 - 2.59675i) q^{26} +(0.142315 + 0.989821i) q^{27} +(-0.415415 - 0.909632i) q^{28} +(1.38908 - 9.66124i) q^{29} +(-1.10356 + 0.324036i) q^{30} +(1.65199 + 1.06167i) q^{31} +(-0.415415 + 0.909632i) q^{32} +(5.16931 + 1.51785i) q^{33} +(-2.06697 - 2.38541i) q^{34} +(0.753191 + 0.869228i) q^{35} +(-0.959493 - 0.281733i) q^{36} +(0.469700 - 1.02850i) q^{37} +(1.31276 + 0.843659i) q^{38} +(-4.60854 + 1.35319i) q^{39} +(0.163684 - 1.13845i) q^{40} +(-0.999144 - 2.18782i) q^{41} +(0.142315 + 0.989821i) q^{42} +(1.88342 - 1.21040i) q^{43} +(-3.52809 + 4.07163i) q^{44} +1.15015 q^{45} +(4.76224 + 0.566602i) q^{46} +10.9837 q^{47} +(0.654861 - 0.755750i) q^{48} +(0.841254 - 0.540641i) q^{49} +(-0.523312 - 3.63972i) q^{50} +(1.31119 + 2.87111i) q^{51} +(0.683553 - 4.75422i) q^{52} +(10.3059 - 3.02608i) q^{53} +(0.841254 + 0.540641i) q^{54} +(2.57412 - 5.63653i) q^{55} +(-0.959493 - 0.281733i) q^{56} +(-1.02190 - 1.17933i) q^{57} +(-6.39183 - 7.37656i) q^{58} +(-3.97153 - 1.16615i) q^{59} +(-0.477791 + 1.04622i) q^{60} +(-0.568658 - 0.365454i) q^{61} +(1.88418 - 0.553246i) q^{62} +(0.142315 - 0.989821i) q^{63} +(0.415415 + 0.909632i) q^{64} +(0.786191 + 5.46808i) q^{65} +(4.53229 - 2.91272i) q^{66} +(-6.14782 + 7.09496i) q^{67} -3.15635 q^{68} +(-4.40971 - 1.88533i) q^{69} +1.15015 q^{70} +(-8.76646 + 10.1170i) q^{71} +(-0.841254 + 0.540641i) q^{72} +(-1.92297 - 13.3746i) q^{73} +(-0.469700 - 1.02850i) q^{74} +(-0.523312 + 3.63972i) q^{75} +(1.49727 - 0.439638i) q^{76} +(-4.53229 - 2.91272i) q^{77} +(-1.99528 + 4.36906i) q^{78} +(-3.81833 - 1.12116i) q^{79} +(-0.753191 - 0.869228i) q^{80} +(-0.654861 - 0.755750i) q^{81} +(-2.30775 - 0.677615i) q^{82} +(5.52406 - 12.0960i) q^{83} +(0.841254 + 0.540641i) q^{84} +(3.48323 - 1.02277i) q^{85} +(0.318618 - 2.21603i) q^{86} +(4.05470 + 8.87854i) q^{87} +(0.766727 + 5.33270i) q^{88} +(-10.2361 + 6.57834i) q^{89} +(0.753191 - 0.869228i) q^{90} +4.80310 q^{91} +(3.54682 - 3.22802i) q^{92} -1.96373 q^{93} +(7.19277 - 8.30090i) q^{94} +(-1.50988 + 0.970338i) q^{95} +(-0.142315 - 0.989821i) q^{96} +(4.02551 + 8.81464i) q^{97} +(0.142315 - 0.989821i) q^{98} +(-5.16931 + 1.51785i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 30 q + 3 q^{2} + 3 q^{3} - 3 q^{4} - 10 q^{5} - 3 q^{6} + 3 q^{7} + 3 q^{8} - 3 q^{9}+O(q^{10}) \) 30 * q + 3 * q^2 + 3 * q^3 - 3 * q^4 - 10 * q^5 - 3 * q^6 + 3 * q^7 + 3 * q^8 - 3 * q^9	\( 30 q + 3 q^{2} + 3 q^{3} - 3 q^{4} - 10 q^{5} - 3 q^{6} + 3 q^{7} + 3 q^{8} - 3 q^{9} + 10 q^{10} + 9 q^{11} + 3 q^{12} - 12 q^{13} - 3 q^{14} - q^{15} - 3 q^{16} + 5 q^{17} + 3 q^{18} + 18 q^{19} + q^{20} - 3 q^{21} + 2 q^{22} + 21 q^{23} + 30 q^{24} + 13 q^{25} - 10 q^{26} + 3 q^{27} + 3 q^{28} + 17 q^{29} - 10 q^{30} + 12 q^{31} + 3 q^{32} + 13 q^{33} + 17 q^{34} - q^{35} - 3 q^{36} + 16 q^{37} + 15 q^{38} + 12 q^{39} - 12 q^{40} + 10 q^{41} + 3 q^{42} - 35 q^{43} + 9 q^{44} + 12 q^{45} + q^{46} - 8 q^{47} + 3 q^{48} - 3 q^{49} - 2 q^{50} + 6 q^{51} - q^{52} + 42 q^{53} - 3 q^{54} + 49 q^{55} - 3 q^{56} + 15 q^{57} + 5 q^{58} - 6 q^{59} + 10 q^{60} - 18 q^{61} - 34 q^{62} + 3 q^{63} - 3 q^{64} + 34 q^{65} - 2 q^{66} + 72 q^{67} - 6 q^{68} - 10 q^{69} + 12 q^{70} + 17 q^{71} + 3 q^{72} + 9 q^{73} - 16 q^{74} - 2 q^{75} + 18 q^{76} + 2 q^{77} + 10 q^{78} - 56 q^{79} + q^{80} - 3 q^{81} + 12 q^{82} + 52 q^{83} - 3 q^{84} - 53 q^{85} - 31 q^{86} + 5 q^{87} + 13 q^{88} - 104 q^{89} - q^{90} + 34 q^{91} - 12 q^{92} + 32 q^{93} - 14 q^{94} - 92 q^{95} - 3 q^{96} - 82 q^{97} + 3 q^{98} - 13 q^{99}+O(q^{100}) \) 30 * q + 3 * q^2 + 3 * q^3 - 3 * q^4 - 10 * q^5 - 3 * q^6 + 3 * q^7 + 3 * q^8 - 3 * q^9 + 10 * q^10 + 9 * q^11 + 3 * q^12 - 12 * q^13 - 3 * q^14 - q^15 - 3 * q^16 + 5 * q^17 + 3 * q^18 + 18 * q^19 + q^20 - 3 * q^21 + 2 * q^22 + 21 * q^23 + 30 * q^24 + 13 * q^25 - 10 * q^26 + 3 * q^27 + 3 * q^28 + 17 * q^29 - 10 * q^30 + 12 * q^31 + 3 * q^32 + 13 * q^33 + 17 * q^34 - q^35 - 3 * q^36 + 16 * q^37 + 15 * q^38 + 12 * q^39 - 12 * q^40 + 10 * q^41 + 3 * q^42 - 35 * q^43 + 9 * q^44 + 12 * q^45 + q^46 - 8 * q^47 + 3 * q^48 - 3 * q^49 - 2 * q^50 + 6 * q^51 - q^52 + 42 * q^53 - 3 * q^54 + 49 * q^55 - 3 * q^56 + 15 * q^57 + 5 * q^58 - 6 * q^59 + 10 * q^60 - 18 * q^61 - 34 * q^62 + 3 * q^63 - 3 * q^64 + 34 * q^65 - 2 * q^66 + 72 * q^67 - 6 * q^68 - 10 * q^69 + 12 * q^70 + 17 * q^71 + 3 * q^72 + 9 * q^73 - 16 * q^74 - 2 * q^75 + 18 * q^76 + 2 * q^77 + 10 * q^78 - 56 * q^79 + q^80 - 3 * q^81 + 12 * q^82 + 52 * q^83 - 3 * q^84 - 53 * q^85 - 31 * q^86 + 5 * q^87 + 13 * q^88 - 104 * q^89 - q^90 + 34 * q^91 - 12 * q^92 + 32 * q^93 - 14 * q^94 - 92 * q^95 - 3 * q^96 - 82 * q^97 + 3 * q^98 - 13 * q^99

Introduction

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