LMFDB - Embedded newform 966.2.q.f.673.2

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			673.2
Character	$\chi$	$=$	966.673
Dual form			966.2.q.f.211.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.415415 + 0.909632i) q^{2} +(-0.959493 - 0.281733i) q^{3} +(-0.654861 - 0.755750i) q^{4} +(-2.10097 + 1.35021i) q^{5} +(0.654861 - 0.755750i) q^{6} +(0.142315 - 0.989821i) q^{7} +(0.959493 - 0.281733i) q^{8} +(0.841254 + 0.540641i) q^{9} +O(q^{10})$	\(q+(-0.415415 + 0.909632i) q^{2} +(-0.959493 - 0.281733i) q^{3} +(-0.654861 - 0.755750i) q^{4} +(-2.10097 + 1.35021i) 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} +(-0.355420 - 2.47200i) q^{10} +(1.52190 + 3.33250i) q^{11} +(0.415415 + 0.909632i) q^{12} +(-0.642740 - 4.47036i) q^{13} +(0.841254 + 0.540641i) q^{14} +(2.39626 - 0.703605i) q^{15} +(-0.142315 + 0.989821i) q^{16} +(-3.64555 + 4.20719i) q^{17} +(-0.841254 + 0.540641i) q^{18} +(-3.56793 - 4.11761i) q^{19} +(2.39626 + 0.703605i) q^{20} +(-0.415415 + 0.909632i) q^{21} -3.66356 q^{22} +(-4.18566 - 2.34100i) q^{23} -1.00000 q^{24} +(0.513919 - 1.12533i) q^{25} +(4.33338 + 1.27240i) q^{26} +(-0.654861 - 0.755750i) q^{27} +(-0.841254 + 0.540641i) q^{28} +(5.41368 - 6.24772i) q^{29} +(-0.355420 + 2.47200i) q^{30} +(2.22199 - 0.652435i) q^{31} +(-0.841254 - 0.540641i) q^{32} +(-0.521380 - 3.62627i) q^{33} +(-2.31258 - 5.06384i) q^{34} +(1.03747 + 2.27174i) q^{35} +(-0.142315 - 0.989821i) q^{36} +(6.71445 + 4.31512i) q^{37} +(5.22768 - 1.53499i) q^{38} +(-0.642740 + 4.47036i) q^{39} +(-1.63546 + 1.88743i) q^{40} +(9.04399 - 5.81222i) q^{41} +(-0.654861 - 0.755750i) q^{42} +(7.10493 + 2.08620i) q^{43} +(1.52190 - 3.33250i) q^{44} -2.49742 q^{45} +(3.86823 - 2.83492i) q^{46} +9.91096 q^{47} +(0.415415 - 0.909632i) q^{48} +(-0.959493 - 0.281733i) q^{49} +(0.810143 + 0.934955i) q^{50} +(4.68318 - 3.00970i) q^{51} +(-2.95756 + 3.41321i) q^{52} +(-0.908115 + 6.31608i) q^{53} +(0.959493 - 0.281733i) q^{54} +(-7.69702 - 4.94658i) q^{55} +(-0.142315 - 0.989821i) q^{56} +(2.26334 + 4.95602i) q^{57} +(3.43420 + 7.51985i) q^{58} +(-1.34016 - 9.32102i) q^{59} +(-2.10097 - 1.35021i) q^{60} +(6.21669 - 1.82538i) q^{61} +(-0.329572 + 2.29223i) q^{62} +(0.654861 - 0.755750i) q^{63} +(0.841254 - 0.540641i) q^{64} +(7.38629 + 8.52423i) q^{65} +(3.51516 + 1.03215i) q^{66} +(0.681805 - 1.49295i) q^{67} +5.56691 q^{68} +(3.35657 + 3.42541i) q^{69} -2.49742 q^{70} +(3.73009 - 8.16775i) q^{71} +(0.959493 + 0.281733i) q^{72} +(-8.04384 - 9.28309i) q^{73} +(-6.71445 + 4.31512i) q^{74} +(-0.810143 + 0.934955i) q^{75} +(-0.775386 + 5.39293i) q^{76} +(3.51516 - 1.03215i) q^{77} +(-3.79938 - 2.44171i) q^{78} +(-1.01228 - 7.04058i) q^{79} +(-1.03747 - 2.27174i) q^{80} +(0.415415 + 0.909632i) q^{81} +(1.52997 + 10.6412i) q^{82} +(3.61141 + 2.32091i) q^{83} +(0.959493 - 0.281733i) q^{84} +(1.97859 - 13.7614i) q^{85} +(-4.84917 + 5.59624i) q^{86} +(-6.95457 + 4.46943i) q^{87} +(2.39912 + 2.76874i) q^{88} +(-9.74193 - 2.86049i) q^{89} +(1.03747 - 2.27174i) q^{90} -4.51633 q^{91} +(0.971812 + 4.69634i) q^{92} -2.31580 q^{93} +(-4.11716 + 9.01533i) q^{94} +(13.0557 + 3.83351i) q^{95} +(0.654861 + 0.755750i) q^{96} +(6.31753 - 4.06003i) q^{97} +(0.654861 - 0.755750i) q^{98} +(-0.521380 + 3.62627i) 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	\( 30 q + 3 q^{2} - 3 q^{3} - 3 q^{4} - 10 q^{5} + 3 q^{6} + 3 q^{7} + 3 q^{8} - 3 q^{9} - 12 q^{10} - 9 q^{11} - 3 q^{12} + 12 q^{13} - 3 q^{14} + q^{15} - 3 q^{16} + 9 q^{17} + 3 q^{18} - 18 q^{19} + q^{20} + 3 q^{21} + 20 q^{22} + q^{23} - 30 q^{24} + 5 q^{25} + 32 q^{26} - 3 q^{27} + 3 q^{28} - 23 q^{29} - 12 q^{30} - q^{31} + 3 q^{32} + 2 q^{33} - 9 q^{34} - q^{35} - 3 q^{36} - q^{37} + 7 q^{38} + 12 q^{39} - q^{40} + 7 q^{41} - 3 q^{42} - 10 q^{43} - 9 q^{44} - 10 q^{45} - q^{46} + 68 q^{47} - 3 q^{48} - 3 q^{49} + 50 q^{50} + 9 q^{51} + q^{52} + 42 q^{53} + 3 q^{54} - 66 q^{55} - 3 q^{56} + 4 q^{57} + q^{58} + 25 q^{59} - 10 q^{60} + 10 q^{61} - 10 q^{62} + 3 q^{63} - 3 q^{64} - 54 q^{65} - 2 q^{66} - 6 q^{67} - 2 q^{68} - 21 q^{69} - 10 q^{70} - 13 q^{71} + 3 q^{72} + 33 q^{73} + q^{74} - 50 q^{75} + 26 q^{76} - 2 q^{77} - 12 q^{78} - 8 q^{79} + q^{80} - 3 q^{81} + 4 q^{82} - 2 q^{83} + 3 q^{84} - 77 q^{85} - 45 q^{86} - q^{87} - 13 q^{88} + 64 q^{89} - q^{90} - 12 q^{91} + 12 q^{92} - 56 q^{93} - 24 q^{94} + 59 q^{95} + 3 q^{96} + 2 q^{97} + 3 q^{98} + 2 q^{99}+O(q^{100}) \) 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 - 12 * q^10 - 9 * q^11 - 3 * q^12 + 12 * q^13 - 3 * q^14 + q^15 - 3 * q^16 + 9 * q^17 + 3 * q^18 - 18 * q^19 + q^20 + 3 * q^21 + 20 * q^22 + q^23 - 30 * q^24 + 5 * q^25 + 32 * q^26 - 3 * q^27 + 3 * q^28 - 23 * q^29 - 12 * q^30 - q^31 + 3 * q^32 + 2 * q^33 - 9 * q^34 - q^35 - 3 * q^36 - q^37 + 7 * q^38 + 12 * q^39 - q^40 + 7 * q^41 - 3 * q^42 - 10 * q^43 - 9 * q^44 - 10 * q^45 - q^46 + 68 * q^47 - 3 * q^48 - 3 * q^49 + 50 * q^50 + 9 * q^51 + q^52 + 42 * q^53 + 3 * q^54 - 66 * q^55 - 3 * q^56 + 4 * q^57 + q^58 + 25 * q^59 - 10 * q^60 + 10 * q^61 - 10 * q^62 + 3 * q^63 - 3 * q^64 - 54 * q^65 - 2 * q^66 - 6 * q^67 - 2 * q^68 - 21 * q^69 - 10 * q^70 - 13 * q^71 + 3 * q^72 + 33 * q^73 + q^74 - 50 * q^75 + 26 * q^76 - 2 * q^77 - 12 * q^78 - 8 * q^79 + q^80 - 3 * q^81 + 4 * q^82 - 2 * q^83 + 3 * q^84 - 77 * q^85 - 45 * q^86 - q^87 - 13 * q^88 + 64 * q^89 - q^90 - 12 * q^91 + 12 * q^92 - 56 * q^93 - 24 * q^94 + 59 * q^95 + 3 * q^96 + 2 * q^97 + 3 * q^98 + 2 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$323$	$829$	$925$
$\chi(n)$	$1$	$1$	$e\left(\frac{9}{11}\right)$

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
$5$	−2.10097	+	1.35021i	−0.939581	+	0.603832i	−0.918276	−	0.395941i	$-0.870418\pi$
$5$	−2.10097	+	1.35021i	−0.939581	+	0.603832i	−0.0213048	+	0.999773i	$0.506782\pi$
$6$	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
$10$	−0.355420	−	2.47200i	−0.112394	−	0.781716i
$11$	1.52190	+	3.33250i	0.458870	+	1.00479i	0.987744	+	0.156085i	$0.0498872\pi$
$11$	1.52190	+	3.33250i	0.458870	+	1.00479i	−0.528874	+	0.848701i	$0.677385\pi$
$12$	0.415415	+	0.909632i	0.119920	+	0.262588i
$13$	−0.642740	−	4.47036i	−0.178264	−	1.23985i	−0.860778	−	0.508981i	$-0.830022\pi$
$13$	−0.642740	−	4.47036i	−0.178264	−	1.23985i	0.682514	−	0.730873i	$-0.260887\pi$
$14$	0.841254	+	0.540641i	0.224834	+	0.144492i
$15$	2.39626	−	0.703605i	0.618712	−	0.181670i
$16$	−0.142315	+	0.989821i	−0.0355787	+	0.247455i
$17$	−3.64555	+	4.20719i	−0.884176	+	1.02039i	0.115458	+	0.993312i	$0.463167\pi$
$17$	−3.64555	+	4.20719i	−0.884176	+	1.02039i	−0.999633	+	0.0270806i	$0.991379\pi$
$18$	−0.841254	+	0.540641i	−0.198285	+	0.127430i
$19$	−3.56793	−	4.11761i	−0.818540	−	0.944645i	0.180704	−	0.983538i	$-0.442162\pi$
$19$	−3.56793	−	4.11761i	−0.818540	−	0.944645i	−0.999243	+	0.0388925i	$0.987617\pi$
$20$	2.39626	+	0.703605i	0.535820	+	0.157331i
$21$	−0.415415	+	0.909632i	−0.0906510	+	0.198498i
$22$	−3.66356			−0.781075
$23$	−4.18566	−	2.34100i	−0.872770	−	0.488132i
$23$	−4.18566	−	2.34100i	−0.872770	−	0.488132i
$24$	−1.00000			−0.204124
$25$	0.513919	−	1.12533i	0.102784	−	0.225065i
$26$	4.33338	+	1.27240i	0.849846	+	0.249537i
$27$	−0.654861	−	0.755750i	−0.126028	−	0.145444i
$28$	−0.841254	+	0.540641i	−0.158982	+	0.102172i
$29$	5.41368	−	6.24772i	1.00529	−	1.16017i	0.0182328	−	0.999834i	$-0.494196\pi$
$29$	5.41368	−	6.24772i	1.00529	−	1.16017i	0.987062	−	0.160338i	$-0.0512586\pi$
$30$	−0.355420	+	2.47200i	−0.0648906	+	0.451324i
$31$	2.22199	−	0.652435i	0.399081	−	0.117181i	−0.0760322	−	0.997105i	$-0.524225\pi$
$31$	2.22199	−	0.652435i	0.399081	−	0.117181i	0.475113	+	0.879925i	$0.342407\pi$
$32$	−0.841254	−	0.540641i	−0.148714	−	0.0955727i
$33$	−0.521380	−	3.62627i	−0.0907605	−	0.631253i
$34$	−2.31258	−	5.06384i	−0.396604	−	0.868441i
$35$	1.03747	+	2.27174i	0.175364	+	0.383993i
$36$	−0.142315	−	0.989821i	−0.0237191	−	0.164970i
$37$	6.71445	+	4.31512i	1.10385	+	0.709401i	0.959944	−	0.280191i	$-0.0903976\pi$
$37$	6.71445	+	4.31512i	1.10385	+	0.709401i	0.143905	+	0.989591i	$0.454034\pi$
$38$	5.22768	−	1.53499i	0.848042	−	0.249008i
$39$	−0.642740	+	4.47036i	−0.102921	+	0.715830i
$40$	−1.63546	+	1.88743i	−0.258590	+	0.298428i
$41$	9.04399	−	5.81222i	1.41243	−	0.907716i	0.412440	−	0.910985i	$-0.364677\pi$
$41$	9.04399	−	5.81222i	1.41243	−	0.907716i	0.999995	+	0.00326864i	$0.00104044\pi$
$42$	−0.654861	−	0.755750i	−0.101047	−	0.116615i
$43$	7.10493	+	2.08620i	1.08349	+	0.318142i	0.774275	−	0.632849i	$-0.218115\pi$
$43$	7.10493	+	2.08620i	1.08349	+	0.318142i	0.309217	+	0.950991i	$0.399933\pi$
$44$	1.52190	−	3.33250i	0.229435	−	0.502393i
$45$	−2.49742			−0.372294
$46$	3.86823	−	2.83492i	0.570340	−	0.417986i
$47$	9.91096			1.44566			0.722831	−	0.691025i	$-0.242840\pi$
$47$	9.91096			1.44566			0.722831	+	0.691025i	$0.242840\pi$
$48$	0.415415	−	0.909632i	0.0599600	−	0.131294i
$49$	−0.959493	−	0.281733i	−0.137070	−	0.0402475i
$50$	0.810143	+	0.934955i	0.114572	+	0.132223i
$51$	4.68318	−	3.00970i	0.655777	−	0.421442i
$52$	−2.95756	+	3.41321i	−0.410140	+	0.473327i
$53$	−0.908115	+	6.31608i	−0.124739	+	0.867580i	0.827334	+	0.561710i	$0.189856\pi$
$53$	−0.908115	+	6.31608i	−0.124739	+	0.867580i	−0.952073	+	0.305870i	$0.901053\pi$
$54$	0.959493	−	0.281733i	0.130570	−	0.0383389i
$55$	−7.69702	−	4.94658i	−1.03787	−	0.666996i
$56$	−0.142315	−	0.989821i	−0.0190176	−	0.132270i
$57$	2.26334	+	4.95602i	0.299787	+	0.656441i
$58$	3.43420	+	7.51985i	0.450933	+	0.987405i
$59$	−1.34016	−	9.32102i	−0.174474	−	1.21349i	−0.869289	−	0.494305i	$-0.835423\pi$
$59$	−1.34016	−	9.32102i	−0.174474	−	1.21349i	0.694815	−	0.719189i	$-0.255486\pi$
$60$	−2.10097	−	1.35021i	−0.271234	−	0.174311i
$61$	6.21669	−	1.82538i	0.795966	−	0.233717i	0.141629	−	0.989920i	$-0.454766\pi$
$61$	6.21669	−	1.82538i	0.795966	−	0.233717i	0.654337	+	0.756203i	$0.272948\pi$
$62$	−0.329572	+	2.29223i	−0.0418557	+	0.291113i
$63$	0.654861	−	0.755750i	0.0825047	−	0.0952155i
$64$	0.841254	−	0.540641i	0.105157	−	0.0675801i
$65$	7.38629	+	8.52423i	0.916157	+	1.05730i
$66$	3.51516	+	1.03215i	0.432687	+	0.127048i
$67$	0.681805	−	1.49295i	0.0832958	−	0.182392i	−0.863401	−	0.504518i	$-0.831670\pi$
$67$	0.681805	−	1.49295i	0.0832958	−	0.182392i	0.946697	+	0.322126i	$0.104397\pi$
$68$	5.56691			0.675087
$69$	3.35657	+	3.42541i	0.404084	+	0.412371i
$70$	−2.49742			−0.298499
$71$	3.73009	−	8.16775i	0.442680	−	0.969333i	−0.548419	−	0.836204i	$-0.684770\pi$
$71$	3.73009	−	8.16775i	0.442680	−	0.969333i	0.991099	−	0.133130i	$-0.0425026\pi$
$72$	0.959493	+	0.281733i	0.113077	+	0.0332025i
$73$	−8.04384	−	9.28309i	−0.941460	−	1.08650i	−0.996121	−	0.0879979i	$-0.971953\pi$
$73$	−8.04384	−	9.28309i	−0.941460	−	1.08650i	0.0546605	−	0.998505i	$-0.482592\pi$
$74$	−6.71445	+	4.31512i	−0.780539	+	0.501622i
$75$	−0.810143	+	0.934955i	−0.0935473	+	0.107959i
$76$	−0.775386	+	5.39293i	−0.0889428	+	0.618611i
$77$	3.51516	−	1.03215i	0.400590	−	0.117624i
$78$	−3.79938	−	2.44171i	−0.430195	−	0.276469i
$79$	−1.01228	−	7.04058i	−0.113891	−	0.792128i	−0.964073	−	0.265639i	$-0.914417\pi$
$79$	−1.01228	−	7.04058i	−0.113891	−	0.792128i	0.850182	−	0.526489i	$-0.176492\pi$
$80$	−1.03747	−	2.27174i	−0.115992	−	0.253988i
$81$	0.415415	+	0.909632i	0.0461572	+	0.101070i
$82$	1.52997	+	10.6412i	0.168957	+	1.17512i
$83$	3.61141	+	2.32091i	0.396404	+	0.254753i	0.723623	−	0.690195i	$-0.242475\pi$
$83$	3.61141	+	2.32091i	0.396404	+	0.254753i	−0.327219	+	0.944948i	$0.606112\pi$
$84$	0.959493	−	0.281733i	0.104689	−	0.0307395i
$85$	1.97859	−	13.7614i	0.214608	−	1.49263i
$86$	−4.84917	+	5.59624i	−0.522899	+	0.603458i
$87$	−6.95457	+	4.46943i	−0.745608	+	0.479173i
$88$	2.39912	+	2.76874i	0.255748	+	0.295148i
$89$	−9.74193	−	2.86049i	−1.03264	−	0.303211i	−0.278857	−	0.960333i	$-0.589956\pi$
$89$	−9.74193	−	2.86049i	−1.03264	−	0.303211i	−0.753785	+	0.657121i	$0.771774\pi$
$90$	1.03747	−	2.27174i	0.109359	−	0.239462i
$91$	−4.51633			−0.473440
$92$	0.971812	+	4.69634i	0.101318	+	0.489627i
$93$	−2.31580			−0.240137
$94$	−4.11716	+	9.01533i	−0.424653	+	0.929860i
$95$	13.0557	+	3.83351i	1.33949	+	0.393310i
$96$	0.654861	+	0.755750i	0.0668364	+	0.0771334i
$97$	6.31753	−	4.06003i	0.641448	−	0.412234i	−0.179084	−	0.983834i	$-0.557313\pi$
$97$	6.31753	−	4.06003i	0.641448	−	0.412234i	0.820532	+	0.571600i	$0.193677\pi$
$98$	0.654861	−	0.755750i	0.0661509	−	0.0763422i
$99$	−0.521380	+	3.62627i	−0.0524006	+	0.364454i
$100$	−1.18701	+	0.348538i	−0.118701	+	0.0348538i
$101$	2.11142	+	1.35693i	0.210094	+	0.135019i	0.641456	−	0.767160i	$-0.278331\pi$
$101$	2.11142	+	1.35693i	0.210094	+	0.135019i	−0.431362	+	0.902179i	$0.641967\pi$
$102$	0.792254	+	5.51024i	0.0784448	+	0.545596i
$103$	−0.245180	−	0.536869i	−0.0241583	−	0.0528993i	0.897168	−	0.441689i	$-0.145621\pi$
$103$	−0.245180	−	0.536869i	−0.0241583	−	0.0528993i	−0.921327	+	0.388790i	$0.872893\pi$
$104$	−1.87615	−	4.10820i	−0.183972	−	0.402842i
$105$	−0.355420	−	2.47200i	−0.0346855	−	0.241243i
$106$	−5.36806	−	3.44985i	−0.521393	−	0.335079i
$107$	16.5617	−	4.86296i	1.60108	−	0.470120i	0.645235	−	0.763984i	$-0.276759\pi$
$107$	16.5617	−	4.86296i	1.60108	−	0.470120i	0.955847	+	0.293864i	$0.0949412\pi$
$108$	−0.142315	+	0.989821i	−0.0136943	+	0.0952456i
$109$	−4.05631	+	4.68124i	−0.388524	+	0.448381i	−0.915994	−	0.401193i	$-0.868596\pi$
$109$	−4.05631	+	4.68124i	−0.388524	+	0.448381i	0.527469	+	0.849574i	$0.323141\pi$
$110$	7.69702	−	4.94658i	0.733882	−	0.471638i
$111$	−5.22676	−	6.03201i	−0.496102	−	0.572533i
$112$	0.959493	+	0.281733i	0.0906636	+	0.0266212i
$113$	−7.67860	+	16.8138i	−0.722342	+	1.58171i	0.0882518	+	0.996098i	$0.471872\pi$
$113$	−7.67860	+	16.8138i	−0.722342	+	1.58171i	−0.810593	+	0.585609i	$0.800855\pi$
$114$	−5.44838			−0.510288
$115$	11.9548	−	0.733149i	1.11479	−	0.0683665i
$116$	−8.26692			−0.767564
$117$	1.87615	−	4.10820i	0.173450	−	0.379803i
$118$	9.03542	+	2.65304i	0.831778	+	0.244232i
$119$	3.64555	+	4.20719i	0.334187	+	0.385672i
$120$	2.10097	−	1.35021i	0.191791	−	0.123257i
$121$	−1.58588	+	1.83020i	−0.144171	+	0.166382i
$122$	−0.922078	+	6.41319i	−0.0834810	+	0.580623i
$123$	−10.3151	+	3.02880i	−0.930085	+	0.273098i
$124$	−1.94817	−	1.25201i	−0.174951	−	0.112434i
$125$	−1.33740	−	9.30184i	−0.119621	−	0.831982i
$126$	0.415415	+	0.909632i	0.0370081	+	0.0810365i
$127$	−8.95093	−	19.5998i	−0.794266	−	1.73920i	−0.664014	−	0.747720i	$-0.731149\pi$
$127$	−8.95093	−	19.5998i	−0.794266	−	1.73920i	−0.130252	−	0.991481i	$-0.541579\pi$
$128$	0.142315	+	0.989821i	0.0125790	+	0.0874887i
$129$	−6.22938	−	4.00338i	−0.548467	−	0.352478i
$130$	−10.8223	+	3.17771i	−0.949178	+	0.278704i
$131$	−2.58178	+	17.9567i	−0.225571	+	1.56888i	0.490868	+	0.871234i	$0.336680\pi$
$131$	−2.58178	+	17.9567i	−0.225571	+	1.56888i	−0.716440	+	0.697649i	$0.754230\pi$
$132$	−2.39912	+	2.76874i	−0.208817	+	0.240988i
$133$	−4.58347	+	2.94562i	−0.397437	+	0.255417i
$134$	1.07480	+	1.24038i	0.0928485	+	0.107153i
$135$	2.39626	+	0.703605i	0.206237	+	0.0605567i
$136$	−2.31258	+	5.06384i	−0.198302	+	0.434220i
$137$	−20.9836			−1.79275			−0.896373	−	0.443300i	$-0.853808\pi$
$137$	−20.9836			−1.79275			−0.896373	+	0.443300i	$0.853808\pi$
$138$	−4.51023	+	1.63028i	−0.383936	+	0.138779i
$139$	−1.90795			−0.161830			−0.0809152	−	0.996721i	$-0.525784\pi$
$139$	−1.90795			−0.161830			−0.0809152	+	0.996721i	$0.525784\pi$
$140$	1.03747	−	2.27174i	0.0876820	−	0.191997i
$141$	−9.50950	−	2.79224i	−0.800844	−	0.235149i
$142$	5.88011	+	6.78601i	0.493448	+	0.569469i
$143$	13.9193	−	8.94536i	1.16399	−	0.748049i
$144$	−0.654861	+	0.755750i	−0.0545717	+	0.0629791i
$145$	−2.93823	+	20.4358i	−0.244007	+	1.69710i
$146$	11.7857	−	3.46060i	0.975393	−	0.286401i
$147$	0.841254	+	0.540641i	0.0693854	+	0.0445913i
$148$	−1.13588	−	7.90025i	−0.0933691	−	0.649396i
$149$	−5.31776	−	11.6443i	−0.435648	−	0.953935i	−0.992377	−	0.123241i	$-0.960671\pi$
$149$	−5.31776	−	11.6443i	−0.435648	−	0.953935i	0.556729	−	0.830694i	$-0.312056\pi$
$150$	−0.513919	−	1.12533i	−0.0419613	−	0.0918825i
$151$	0.517522	+	3.59945i	0.0421154	+	0.292919i	0.999984	+	0.00571110i	$0.00181791\pi$
$151$	0.517522	+	3.59945i	0.0421154	+	0.292919i	−0.957868	+	0.287208i	$0.907273\pi$
$152$	−4.58347	−	2.94562i	−0.371769	−	0.238921i
$153$	−5.34141	+	1.56838i	−0.431827	+	0.126796i
$154$	−0.521380	+	3.62627i	−0.0420140	+	0.292214i
$155$	−3.78740	+	4.37090i	−0.304212	+	0.351079i
$156$	3.79938	−	2.44171i	0.304194	−	0.195493i
$157$	1.99668	+	2.30429i	0.159353	+	0.183903i	0.829811	−	0.558044i	$-0.188448\pi$
$157$	1.99668	+	2.30429i	0.159353	+	0.183903i	−0.670459	+	0.741947i	$0.733903\pi$
$158$	6.82486	+	2.00396i	0.542957	+	0.159426i
$159$	2.65078	−	5.80439i	0.210220	−	0.460318i
$160$	2.49742			0.197439
$161$	−2.91285	+	3.80989i	−0.229565	+	0.300262i
$162$	−1.00000			−0.0785674
$163$	3.57210	−	7.82180i	0.279788	−	0.612651i	−0.716608	−	0.697477i	$-0.754306\pi$
$163$	3.57210	−	7.82180i	0.279788	−	0.612651i	0.996396	+	0.0848259i	$0.0270334\pi$
$164$	−10.3151	−	3.02880i	−0.805477	−	0.236509i
$165$	5.99163	+	6.91471i	0.466448	+	0.538309i
$166$	−3.61141	+	2.32091i	−0.280300	+	0.180138i
$167$	−7.45600	+	8.60469i	−0.576963	+	0.665851i	−0.966949	−	0.254970i	$-0.917934\pi$
$167$	−7.45600	+	8.60469i	−0.576963	+	0.665851i	0.389986	+	0.920821i	$0.372480\pi$
$168$	−0.142315	+	0.989821i	−0.0109798	+	0.0763664i
$169$	−7.09757	+	2.08403i	−0.545967	+	0.160310i
$170$	11.6959	+	7.51649i	0.897033	+	0.576488i
$171$	−0.775386	−	5.39293i	−0.0592952	−	0.412407i
$172$	−3.07610	−	6.73572i	−0.234550	−	0.513594i
$173$	5.64511	+	12.3611i	0.429190	+	0.939794i	0.993457	+	0.114203i	$0.0364313\pi$
$173$	5.64511	+	12.3611i	0.429190	+	0.939794i	−0.564268	+	0.825592i	$0.690841\pi$
$174$	−1.17650	−	8.18277i	−0.0891906	−	0.620334i
$175$	−1.04073	−	0.668839i	−0.0786721	−	0.0505595i
$176$	−3.51516	+	1.03215i	−0.264965	+	0.0778009i
$177$	−1.34016	+	9.32102i	−0.100733	+	0.700611i
$178$	6.64893	−	7.67328i	0.498359	−	0.575136i
$179$	19.6455	−	12.6254i	1.46838	−	0.943668i	0.470247	−	0.882535i	$-0.344165\pi$
$179$	19.6455	−	12.6254i	1.46838	−	0.943668i	0.998130	−	0.0611333i	$-0.0194715\pi$
$180$	1.63546	+	1.88743i	0.121900	+	0.140680i
$181$	7.51229	+	2.20581i	0.558384	+	0.163956i	0.548734	−	0.835997i	$-0.315110\pi$
$181$	7.51229	+	2.20581i	0.558384	+	0.163956i	0.00965005	+	0.999953i	$0.496928\pi$
$182$	1.87615	−	4.10820i	0.139069	−	0.304520i
$183$	−6.47914			−0.478952
$184$	−4.67564	−	1.06694i	−0.344693	−	0.0786557i
$185$	−19.9332			−1.46551
$186$	0.962017	−	2.10652i	0.0705385	−	0.154458i
$187$	−19.5686	−	5.74586i	−1.43100	−	0.420179i
$188$	−6.49030	−	7.49021i	−0.473354	−	0.546279i
$189$	−0.841254	+	0.540641i	−0.0611922	+	0.0393258i
$190$	−8.91064	+	10.2834i	−0.646445	+	0.746038i
$191$	2.86596	−	19.9332i	0.207373	−	1.44231i	−0.574310	−	0.818638i	$-0.694730\pi$
$191$	2.86596	−	19.9332i	0.207373	−	1.44231i	0.781683	−	0.623675i	$-0.214361\pi$
$192$	−0.959493	+	0.281733i	−0.0692454	+	0.0203323i
$193$	17.1464	+	11.0193i	1.23422	+	0.793186i	0.984543	−	0.175143i	$-0.0560386\pi$
$193$	17.1464	+	11.0193i	1.23422	+	0.793186i	0.249679	+	0.968329i	$0.419675\pi$
$194$	1.06874	+	7.43323i	0.0767309	+	0.533675i
$195$	−4.68554	−	10.2599i	−0.335539	−	0.734727i
$196$	0.415415	+	0.909632i	0.0296725	+	0.0649737i
$197$	2.18482	+	15.1958i	0.155662	+	1.08265i	0.906512	+	0.422180i	$0.138735\pi$
$197$	2.18482	+	15.1958i	0.155662	+	1.08265i	−0.750850	+	0.660473i	$0.770356\pi$
$198$	−3.08199	−	1.98067i	−0.219027	−	0.140760i
$199$	11.4908	−	3.37401i	0.814563	−	0.239177i	0.152190	−	0.988351i	$-0.451367\pi$
$199$	11.4908	−	3.37401i	0.814563	−	0.239177i	0.662373	+	0.749174i	$0.269549\pi$
$200$	0.176061	−	1.22453i	0.0124494	−	0.0865874i
$201$	−1.07480	+	1.24038i	−0.0758105	+	0.0874899i
$202$	−2.11142	+	1.35693i	−0.148559	+	0.0954730i
$203$	−5.41368	−	6.24772i	−0.379966	−	0.438504i
$204$	−5.34141	−	1.56838i	−0.373973	−	0.109809i
$205$	−11.1534	+	24.4226i	−0.778988	+	1.70575i
$206$	0.590205			0.0411215
$207$	−2.25556	−	4.23231i	−0.156772	−	0.294166i
$208$	4.51633			0.313151
$209$	8.29189	−	18.1567i	0.573562	−	1.25593i
$210$	2.39626	+	0.703605i	0.165358	+	0.0485534i
$211$	6.52637	+	7.53183i	0.449294	+	0.518513i	0.934537	−	0.355867i	$-0.115814\pi$
$211$	6.52637	+	7.53183i	0.449294	+	0.518513i	−0.485243	+	0.874379i	$0.661269\pi$
$212$	5.36806	−	3.44985i	0.368680	−	0.236936i
$213$	−5.88011	+	6.78601i	−0.402899	+	0.464970i
$214$	−2.45648	+	17.0852i	−0.167922	+	1.16792i
$215$	−17.7440	+	5.21012i	−1.21013	+	0.355327i
$216$	−0.841254	−	0.540641i	−0.0572401	−	0.0367859i
$217$	−0.329572	−	2.29223i	−0.0223728	−	0.155606i
$218$	−2.57315	−	5.63441i	−0.174276	−	0.381610i
$219$	5.10266	+	11.1733i	0.344806	+	0.755019i
$220$	1.30211	+	9.05634i	0.0877879	+	0.610578i
$221$	21.1508	+	13.5928i	1.42276	+	0.914349i
$222$	7.65818	−	2.24864i	0.513983	−	0.150919i
$223$	3.13580	−	21.8100i	0.209989	−	1.46050i	−0.563196	−	0.826324i	$-0.690428\pi$
$223$	3.13580	−	21.8100i	0.209989	−	1.46050i	0.773184	−	0.634181i	$-0.218663\pi$
$224$	−0.654861	+	0.755750i	−0.0437547	+	0.0504956i
$225$	1.04073	−	0.668839i	0.0693823	−	0.0445893i
$226$	−12.1045	−	13.9694i	−0.805183	−	0.929230i
$227$	3.80002	+	1.11579i	0.252216	+	0.0740573i	0.405397	−	0.914141i	$-0.367133\pi$
$227$	3.80002	+	1.11579i	0.252216	+	0.0740573i	−0.153181	+	0.988198i	$0.548952\pi$
$228$	2.26334	−	4.95602i	0.149893	−	0.328221i
$229$	−8.71588			−0.575962			−0.287981	−	0.957636i	$-0.592984\pi$
$229$	−8.71588			−0.575962			−0.287981	+	0.957636i	$0.592984\pi$
$230$	−4.29929	+	11.1790i	−0.283487	+	0.737121i
$231$	−3.66356			−0.241045
$232$	3.43420	−	7.51985i	0.225466	−	0.493702i
$233$	−26.4451	−	7.76497i	−1.73247	−	0.508700i	−0.745079	−	0.666976i	$-0.767588\pi$
$233$	−26.4451	−	7.76497i	−1.73247	−	0.508700i	−0.987395	+	0.158276i	$0.949406\pi$
$234$	2.95756	+	3.41321i	0.193342	+	0.223129i
$235$	−20.8226	+	13.3819i	−1.35832	+	0.872937i
$236$	−6.16674	+	7.11679i	−0.401420	+	0.463264i
$237$	−1.01228	+	7.04058i	−0.0657549	+	0.457335i
$238$	−5.34141	+	1.56838i	−0.346232	+	0.101663i
$239$	12.7172	+	8.17284i	0.822606	+	0.528657i	0.882921	−	0.469522i	$-0.155574\pi$
$239$	12.7172	+	8.17284i	0.822606	+	0.528657i	−0.0603141	+	0.998179i	$0.519210\pi$
$240$	0.355420	+	2.47200i	0.0229423	+	0.159567i
$241$	−7.96809	−	17.4477i	−0.513270	−	1.12390i	−0.971925	−	0.235290i	$-0.924396\pi$
$241$	−7.96809	−	17.4477i	−0.513270	−	1.12390i	0.458655	−	0.888614i	$-0.348331\pi$
$242$	−1.00601	−	2.20286i	−0.0646689	−	0.141605i
$243$	−0.142315	−	0.989821i	−0.00912950	−	0.0634971i
$244$	−5.45060	−	3.50289i	−0.348939	−	0.224249i
$245$	2.39626	−	0.703605i	0.153091	−	0.0449517i
$246$	1.52997	−	10.6412i	0.0975474	−	0.678457i
$247$	−16.1139	+	18.5965i	−1.02531	+	1.18327i
$248$	1.94817	−	1.25201i	0.123709	−	0.0795030i
$249$	−2.81125	−	3.24435i	−0.178156	−	0.205602i
$250$	9.01683	+	2.64758i	0.570275	+	0.167448i
$251$	3.80836	−	8.33915i	0.240382	−	0.526362i	−0.750536	−	0.660829i	$-0.770205\pi$
$251$	3.80836	−	8.33915i	0.240382	−	0.526362i	0.990918	+	0.134467i	$0.0429321\pi$
$252$	−1.00000			−0.0629941
$253$	1.43122	−	17.5114i	0.0899802	−	1.10094i
$254$	21.5470			1.35198
$255$	−5.77548	+	12.6465i	−0.361675	+	0.791957i
$256$	−0.959493	−	0.281733i	−0.0599683	−	0.0176083i
$257$	−4.95105	−	5.71382i	−0.308838	−	0.356418i	0.580019	−	0.814603i	$-0.303045\pi$
$257$	−4.95105	−	5.71382i	−0.308838	−	0.356418i	−0.888857	+	0.458185i	$0.848500\pi$
$258$	6.22938	−	4.00338i	0.387824	−	0.249240i
$259$	5.22676	−	6.03201i	0.324775	−	0.374811i
$260$	1.60519	−	11.1644i	0.0995499	−	0.692385i
$261$	7.93205	−	2.32906i	0.490981	−	0.144165i
$262$	−15.2615	−	9.80795i	−0.942856	−	0.605937i
$263$	−0.541515	−	3.76632i	−0.0333913	−	0.232241i	0.966291	−	0.257453i	$-0.0828832\pi$
$263$	−0.541515	−	3.76632i	−0.0333913	−	0.232241i	−0.999682	+	0.0252114i	$0.991974\pi$
$264$	−1.52190	−	3.33250i	−0.0936664	−	0.205101i
$265$	−6.62011	−	14.4960i	−0.406670	−	0.890483i
$266$	−0.775386	−	5.39293i	−0.0475419	−	0.330661i
$267$	8.54142	+	5.48924i	0.522726	+	0.335936i
$268$	−1.57478	+	0.462397i	−0.0961950	+	0.0282454i
$269$	3.17428	−	22.0776i	0.193539	−	1.34610i	−0.629008	−	0.777399i	$-0.716539\pi$
$269$	3.17428	−	22.0776i	0.193539	−	1.34610i	0.822548	−	0.568696i	$-0.192552\pi$
$270$	−1.63546	+	1.88743i	−0.0995312	+	0.114865i
$271$	−13.1832	+	8.47231i	−0.800821	+	0.514656i	−0.875884	−	0.482522i	$-0.839721\pi$
$271$	−13.1832	+	8.47231i	−0.800821	+	0.514656i	0.0750625	+	0.997179i	$0.476084\pi$
$272$	−3.64555	−	4.20719i	−0.221044	−	0.255098i
$273$	4.33338	+	1.27240i	0.262268	+	0.0770089i
$274$	8.71689	−	19.0873i	0.526606	−	1.15311i
$275$	4.53228			0.273307
$276$	0.390664	−	4.77989i	0.0235152	−	0.287716i
$277$	−15.9678			−0.959412			−0.479706	−	0.877429i	$-0.659257\pi$
$277$	−15.9678			−0.959412			−0.479706	+	0.877429i	$0.659257\pi$
$278$	0.792592	−	1.73553i	0.0475365	−	0.104090i
$279$	2.22199	+	0.652435i	0.133027	+	0.0390603i
$280$	1.63546	+	1.88743i	0.0977377	+	0.112795i
$281$	−11.3111	+	7.26918i	−0.674762	+	0.433643i	−0.832639	−	0.553816i	$-0.813171\pi$
$281$	−11.3111	+	7.26918i	−0.674762	+	0.433643i	0.157877	+	0.987459i	$0.449535\pi$
$282$	6.49030	−	7.49021i	0.386492	−	0.446035i
$283$	0.731167	−	5.08538i	0.0434634	−	0.302294i	−0.956481	−	0.291793i	$-0.905748\pi$
$283$	0.731167	−	5.08538i	0.0434634	−	0.302294i	0.999945	−	0.0105014i	$-0.00334276\pi$
$284$	−8.61546	+	2.52973i	−0.511233	+	0.150112i
$285$	−11.4469	−	7.35645i	−0.678054	−	0.435759i
$286$	2.35472	+	16.3774i	0.139238	+	0.968418i
$287$	−4.46597	−	9.77910i	−0.263618	−	0.577242i
$288$	−0.415415	−	0.909632i	−0.0244786	−	0.0536006i
$289$	−1.99105	−	13.8481i	−0.117121	−	0.814592i
$290$	−17.3685	−	11.1621i	−1.01991	−	0.655459i
$291$	−7.20547	+	2.11572i	−0.422392	+	0.124026i
$292$	−1.74809	+	12.1583i	−0.102299	+	0.711508i
$293$	−16.1630	+	18.6531i	−0.944255	+	1.08973i	0.0515910	+	0.998668i	$0.483571\pi$
$293$	−16.1630	+	18.6531i	−0.944255	+	1.08973i	−0.995845	+	0.0910595i	$0.970975\pi$
$294$	−0.841254	+	0.540641i	−0.0490629	+	0.0315308i
$295$	15.4010	+	17.7736i	0.896678	+	1.03482i
$296$	7.65818	+	2.24864i	0.445123	+	0.130700i
$297$	1.52190	−	3.33250i	0.0883096	−	0.193371i
$298$	12.8011			0.741546
$299$	−7.77482	+	20.2160i	−0.449629	+	1.16912i
$300$	1.23712			0.0714253
$301$	3.07610	−	6.73572i	0.177303	−	0.388240i
$302$	−3.48916	−	1.02451i	−0.200779	−	0.0589539i
$303$	−1.64360	−	1.89682i	−0.0944224	−	0.108969i
$304$	4.58347	−	2.94562i	0.262880	−	0.168943i
$305$	−10.5964	+	12.2289i	−0.606748	+	0.700225i
$306$	0.792254	−	5.51024i	0.0452901	−	0.315000i
$307$	−14.8638	+	4.36439i	−0.848320	+	0.249089i	−0.676869	−	0.736104i	$-0.736664\pi$
$307$	−14.8638	+	4.36439i	−0.848320	+	0.249089i	−0.171451	+	0.985193i	$0.554845\pi$
$308$	−3.08199	−	1.98067i	−0.175612	−	0.112859i
$309$	0.0839949	+	0.584197i	0.00477830	+	0.0332338i
$310$	−2.40256	−	5.26088i	−0.136456	−	0.298798i
$311$	−6.46137	−	14.1484i	−0.366391	−	0.802283i	−0.999599	−	0.0283024i	$-0.990990\pi$
$311$	−6.46137	−	14.1484i	−0.366391	−	0.802283i	0.633209	−	0.773981i	$-0.281737\pi$
$312$	0.642740	+	4.47036i	0.0363880	+	0.253084i
$313$	−20.1844	−	12.9717i	−1.14089	−	0.733204i	−0.173083	−	0.984907i	$-0.555373\pi$
$313$	−20.1844	−	12.9717i	−1.14089	−	0.733204i	−0.967804	+	0.251704i	$0.919009\pi$
$314$	−2.92551	+	0.859007i	−0.165096	+	0.0484766i
$315$	−0.355420	+	2.47200i	−0.0200257	+	0.139282i
$316$	−4.65801	+	5.37564i	−0.262034	+	0.302403i
$317$	12.2446	−	7.86913i	0.687726	−	0.441974i	−0.149551	−	0.988754i	$-0.547783\pi$
$317$	12.2446	−	7.86913i	0.687726	−	0.441974i	0.837277	+	0.546780i	$0.184146\pi$
$318$	4.17869	+	4.82246i	0.234329	+	0.270430i
$319$	29.0596	+	8.53266i	1.62702	+	0.477737i
$320$	−1.03747	+	2.27174i	−0.0579962	+	0.126994i
$321$	−17.2609			−0.963410
$322$	−2.25556	−	4.23231i	−0.125697	−	0.235857i
$323$	30.3306			1.68764
$324$	0.415415	−	0.909632i	0.0230786	−	0.0505351i
$325$	−5.36093	−	1.57411i	−0.297371	−	0.0873159i
$326$	5.63106	+	6.49859i	0.311875	+	0.359923i
$327$	5.21086	−	3.34882i	0.288161	−	0.185190i
$328$	7.04015	−	8.12477i	0.388728	−	0.448615i
$329$	1.41048	−	9.81008i	0.0777621	−	0.540847i
$330$	−8.77885	+	2.57770i	−0.483260	+	0.141898i
$331$	10.2828	+	6.60836i	0.565194	+	0.363228i	0.791821	−	0.610754i	$-0.209133\pi$
$331$	10.2828	+	6.60836i	0.565194	+	0.363228i	−0.226627	+	0.973982i	$0.572770\pi$
$332$	−0.610942	−	4.24920i	−0.0335298	−	0.233205i
$333$	3.31563	+	7.26022i	0.181695	+	0.397857i
$334$	−4.72976	−	10.3567i	−0.258801	−	0.566695i
$335$	0.583338	+	4.05721i	0.0318712	+	0.221669i
$336$	−0.841254	−	0.540641i	−0.0458941	−	0.0294944i
$337$	10.7885	−	3.16779i	0.587688	−	0.172561i	0.0256482	−	0.999671i	$-0.491835\pi$
$337$	10.7885	−	3.16779i	0.587688	−	0.172561i	0.562040	+	0.827110i	$0.310017\pi$
$338$	1.05273	−	7.32191i	0.0572611	−	0.398260i
$339$	12.1045	−	13.9694i	0.657429	−	0.758713i
$340$	−11.6959	+	7.51649i	−0.634298	+	0.407639i
$341$	5.55588	+	6.41183i	0.300868	+	0.347220i
$342$	5.22768	+	1.53499i	0.282681	+	0.0830026i
$343$	−0.415415	+	0.909632i	−0.0224303	+	0.0491155i
$344$	7.40488			0.399245
$345$	−11.6771	−	2.66459i	−0.628672	−	0.143457i
$346$	−13.5891			−0.730554
$347$	0.154031	−	0.337282i	0.00826883	−	0.0181062i	−0.905453	−	0.424448i	$-0.860468\pi$
$347$	0.154031	−	0.337282i	0.00826883	−	0.0181062i	0.913721	+	0.406341i	$0.133196\pi$
$348$	7.93205	+	2.32906i	0.425202	+	0.124851i
$349$	16.0754	+	18.5520i	0.860499	+	0.993068i	0.999996	+	0.00284580i	$0.000905847\pi$
$349$	16.0754	+	18.5520i	0.860499	+	0.993068i	−0.139497	+	0.990222i	$0.544549\pi$
$350$	1.04073	−	0.668839i	0.0556296	−	0.0357510i
$351$	−2.95756	+	3.41321i	−0.157863	+	0.182184i
$352$	0.521380	−	3.62627i	0.0277896	−	0.193281i
$353$	−12.9746	+	3.80969i	−0.690570	+	0.202770i	−0.608143	−	0.793828i	$-0.708085\pi$
$353$	−12.9746	+	3.80969i	−0.690570	+	0.202770i	−0.0824268	+	0.996597i	$0.526267\pi$
$354$	−7.92197	−	5.09114i	−0.421048	−	0.270591i
$355$	3.19138	+	22.1966i	0.169381	+	1.17807i
$356$	4.21779	+	9.23568i	0.223543	+	0.489490i
$357$	−2.31258	−	5.06384i	−0.122395	−	0.268007i
$358$	3.32344	+	23.1150i	0.175649	+	1.22167i
$359$	9.75801	+	6.27109i	0.515008	+	0.330975i	0.772194	−	0.635386i	$-0.219159\pi$
$359$	9.75801	+	6.27109i	0.515008	+	0.330975i	−0.257187	+	0.966362i	$0.582795\pi$
$360$	−2.39626	+	0.703605i	−0.126294	+	0.0370833i
$361$	−1.52062	+	10.5761i	−0.0800324	+	0.556637i
$362$	−5.12719	+	5.91709i	−0.269479	+	0.310995i
$363$	2.03727	−	1.30927i	0.106929	−	0.0687189i
$364$	2.95756	+	3.41321i	0.155019	+	0.178901i
$365$	29.4339	+	8.64258i	1.54064	+	0.452374i
$366$	2.69153	−	5.89363i	0.140689	−	0.308065i
$367$	18.4500			0.963081			0.481540	−	0.876424i	$-0.340077\pi$
$367$	18.4500			0.963081			0.481540	+	0.876424i	$0.340077\pi$
$368$	2.91285	−	3.80989i	0.151843	−	0.198604i
$369$	10.7506			0.559655
$370$	8.28053	−	18.1318i	0.430484	−	0.942629i
$371$	6.12255	+	1.79774i	0.317867	+	0.0933342i
$372$	1.51652	+	1.75016i	0.0786281	+	0.0907417i
$373$	1.92117	−	1.23466i	0.0994745	−	0.0639284i	−0.489958	−	0.871746i	$-0.662988\pi$
$373$	1.92117	−	1.23466i	0.0994745	−	0.0639284i	0.589432	+	0.807818i	$0.299351\pi$
$374$	13.3557	−	15.4133i	0.690607	−	0.797003i
$375$	−1.33740	+	9.30184i	−0.0690632	+	0.480345i
$376$	9.50950	−	2.79224i	0.490415	−	0.143999i
$377$	−31.4091	−	20.1854i	−1.61765	−	1.03960i
$378$	−0.142315	−	0.989821i	−0.00731989	−	0.0509109i
$379$	−5.27554	−	11.5518i	−0.270986	−	0.593377i	0.724394	−	0.689386i	$-0.242120\pi$
$379$	−5.27554	−	11.5518i	−0.270986	−	0.593377i	−0.995380	+	0.0960088i	$0.969392\pi$
$380$	−5.65252	−	12.3773i	−0.289968	−	0.634941i
$381$	3.06645	+	21.3276i	0.157099	+	1.09265i
$382$	16.9413	+	10.8875i	0.866791	+	0.557053i
$383$	2.89375	−	0.849682i	0.147864	−	0.0434167i	−0.206963	−	0.978349i	$-0.566358\pi$
$383$	2.89375	−	0.849682i	0.147864	−	0.0434167i	0.354827	+	0.934932i	$0.384540\pi$
$384$	0.142315	−	0.989821i	0.00726247	−	0.0505116i
$385$	−5.99163	+	6.91471i	−0.305362	+	0.352406i
$386$	−17.1464	+	11.0193i	−0.872727	+	0.560867i
$387$	4.84917	+	5.59624i	0.246497	+	0.284473i
$388$	−7.20547	−	2.11572i	−0.365803	−	0.107409i
$389$	−13.7356	+	30.0768i	−0.696423	+	1.52495i	0.147833	+	0.989012i	$0.452770\pi$
$389$	−13.7356	+	30.0768i	−0.696423	+	1.52495i	−0.844256	+	0.535941i	$0.819957\pi$
$390$	11.2792			0.571143
$391$	25.1080	−	9.07561i	1.26977	−	0.458973i
$392$	−1.00000			−0.0505076
$393$	7.53618	−	16.5019i	0.380150	−	0.832413i
$394$	−14.7302	−	4.32516i	−0.742095	−	0.217899i
$395$	11.6330	+	13.4252i	0.585321	+	0.675497i
$396$	3.08199	−	1.98067i	0.154876	−	0.0995325i
$397$	−13.7638	+	15.8843i	−0.690785	+	0.797208i	−0.987477	−	0.157765i	$-0.949571\pi$
$397$	−13.7638	+	15.8843i	−0.690785	+	0.797208i	0.296692	+	0.954973i	$0.404117\pi$
$398$	−1.70435	+	11.8540i	−0.0854315	+	0.594189i
$399$	5.22768	−	1.53499i	0.261712	−	0.0768454i
$400$	1.04073	+	0.668839i	0.0520367	+	0.0334420i
$401$	−0.815635	−	5.67286i	−0.0407308	−	0.283289i	−1.00000		0.000794477i	$-0.999747\pi$
$401$	−0.815635	−	5.67286i	−0.0407308	−	0.283289i	0.959269	−	0.282495i	$-0.0911620\pi$
$402$	−0.681805	−	1.49295i	−0.0340054	−	0.0744614i
$403$	−4.34478	−	9.51374i	−0.216429	−	0.473913i
$404$	−0.357189	−	2.48430i	−0.0177708	−	0.123599i
$405$	−2.10097	−	1.35021i	−0.104398	−	0.0670924i
$406$	7.93205	−	2.32906i	0.393661	−	0.115589i
$407$	−4.16138	+	28.9431i	−0.206272	+	1.43465i
$408$	3.64555	−	4.20719i	0.180482	−	0.208287i
$409$	30.4201	−	19.5498i	1.50418	−	0.966675i	0.509854	−	0.860261i	$-0.329700\pi$
$409$	30.4201	−	19.5498i	1.50418	−	0.966675i	0.994322	−	0.106414i	$-0.0339368\pi$
$410$	−17.5822	−	20.2910i	−0.868325	−	1.00210i
$411$	20.1336	+	5.91175i	0.993116	+	0.291605i
$412$	−0.245180	+	0.536869i	−0.0120791	+	0.0264496i
$413$	−9.41687			−0.463374
$414$	4.78684	−	0.293562i	0.235260	−	0.0144278i
$415$	−10.7212			−0.526282
$416$	−1.87615	+	4.10820i	−0.0919858	+	0.201421i
$417$	1.83067	+	0.537532i	0.0896481	+	0.0263231i
$418$	13.0713	+	15.0851i	0.639340	+	0.737838i
$419$	−18.6741	+	12.0011i	−0.912291	+	0.586294i	−0.910411	−	0.413705i	$-0.864235\pi$
$419$	−18.6741	+	12.0011i	−0.912291	+	0.586294i	−0.00187956	+	0.999998i	$0.500598\pi$
$420$	−1.63546	+	1.88743i	−0.0798025	+	0.0920970i
$421$	0.607937	−	4.22830i	0.0296290	−	0.206075i	−0.969629	−	0.244579i	$-0.921350\pi$
$421$	0.607937	−	4.22830i	0.0296290	−	0.206075i	0.999258	+	0.0385044i	$0.0122594\pi$
$422$	−9.56234	+	2.80776i	−0.465488	+	0.136680i
$423$	8.33763	+	5.35827i	0.405390	+	0.260528i
$424$	0.908115	+	6.31608i	0.0441020	+	0.306736i
$425$	2.86094	+	6.26459i	0.138776	+	0.303877i
$426$	−3.73009	−	8.16775i	−0.180723	−	0.395729i
$427$	−0.922078	−	6.41319i	−0.0446225	−	0.310356i
$428$	−14.5208	−	9.33195i	−0.701890	−	0.451077i
$429$	−15.8756	+	4.66151i	−0.766483	+	0.225060i
$430$	2.63185	−	18.3049i	0.126919	−	0.882740i
$431$	4.58505	−	5.29143i	0.220854	−	0.254879i	−0.634500	−	0.772923i	$-0.718794\pi$
$431$	4.58505	−	5.29143i	0.220854	−	0.254879i	0.855354	+	0.518043i	$0.173339\pi$
$432$	0.841254	−	0.540641i	0.0404748	−	0.0260116i
$433$	−10.0487	−	11.5969i	−0.482912	−	0.557310i	0.461046	−	0.887376i	$-0.347474\pi$
$433$	−10.0487	−	11.5969i	−0.482912	−	0.557310i	−0.943958	+	0.330066i	$0.892929\pi$
$434$	2.22199	+	0.652435i	0.106659	+	0.0313179i
$435$	8.57665	−	18.7803i	0.411219	−	0.900444i
$436$	6.19416			0.296647
$437$	5.29480	+	25.5874i	0.253285	+	1.22401i
$438$	−12.2833			−0.586918
$439$	3.20894	−	7.02659i	0.153154	−	0.335361i	−0.817466	−	0.575976i	$-0.804622\pi$
$439$	3.20894	−	7.02659i	0.153154	−	0.335361i	0.970621	+	0.240615i	$0.0773493\pi$
$440$	−8.77885	−	2.57770i	−0.418515	−	0.122887i
$441$	−0.654861	−	0.755750i	−0.0311838	−	0.0359881i
$442$	−21.1508	+	13.5928i	−1.00604	+	0.646542i
$443$	6.29245	−	7.26187i	0.298963	−	0.345022i	−0.586315	−	0.810083i	$-0.699422\pi$
$443$	6.29245	−	7.26187i	0.298963	−	0.345022i	0.885279	+	0.465061i	$0.153968\pi$
$444$	−1.13588	+	7.90025i	−0.0539067	+	0.374929i
$445$	24.3297	−	7.14385i	1.15334	−	0.338651i
$446$	18.5364	+	11.9126i	0.877724	+	0.564079i
$447$	1.82178	+	12.6708i	0.0861674	+	0.599307i
$448$	−0.415415	−	0.909632i	−0.0196265	−	0.0429761i
$449$	−10.6759	−	23.3769i	−0.503826	−	1.10323i	−0.975207	−	0.221296i	$-0.928971\pi$
$449$	−10.6759	−	23.3769i	−0.503826	−	1.10323i	0.471380	−	0.881930i	$-0.343756\pi$
$450$	0.176061	+	1.22453i	0.00829959	+	0.0577249i
$451$	33.1332	+	21.2934i	1.56018	+	1.00267i
$452$	17.7354	−	5.20759i	0.834204	−	0.244944i
$453$	0.517522	−	3.59945i	0.0243153	−	0.169117i
$454$	−2.59354	+	2.99310i	−0.121721	+	0.140473i
$455$	9.48865	−	6.09798i	0.444835	−	0.285878i
$456$	3.56793	+	4.11761i	0.167084	+	0.192825i
$457$	20.1773	+	5.92458i	0.943853	+	0.277140i	0.717225	−	0.696841i	$-0.245412\pi$
$457$	20.1773	+	5.92458i	0.943853	+	0.277140i	0.226627	+	0.973982i	$0.427230\pi$
$458$	3.62071	−	7.92825i	0.169185	−	0.370463i
$459$	5.56691			0.259841
$460$	−8.38278	−	8.55470i	−0.390849	−	0.398865i
$461$	13.7796			0.641781			0.320890	−	0.947116i	$-0.396018\pi$
$461$	13.7796			0.641781			0.320890	+	0.947116i	$0.396018\pi$
$462$	1.52190	−	3.33250i	0.0708052	−	0.155042i
$463$	28.7299	+	8.43587i	1.33519	+	0.392048i	0.869952	−	0.493136i	$-0.164150\pi$
$463$	28.7299	+	8.43587i	1.33519	+	0.392048i	0.465241	+	0.885184i	$0.345968\pi$
$464$	5.41368	+	6.24772i	0.251324	+	0.290043i
$465$	4.86541	−	3.12681i	0.225628	−	0.145002i
$466$	18.0489	−	20.8296i	0.836101	−	0.964912i
$467$	−1.33436	+	9.28067i	−0.0617468	+	0.429458i	0.935376	+	0.353655i	$0.115061\pi$
$467$	−1.33436	+	9.28067i	−0.0617468	+	0.429458i	−0.997123	+	0.0758035i	$0.975848\pi$
$468$	−4.33338	+	1.27240i	−0.200311	+	0.0588165i
$469$	−1.38072	−	0.887334i	−0.0637557	−	0.0409733i
$470$	−3.52256	−	24.4999i	−0.162484	−	1.13010i
$471$	−1.26661	−	2.77348i	−0.0583622	−	0.127795i
$472$	−3.91191	−	8.56589i	−0.180060	−	0.394277i
$473$	3.86075	+	26.8521i	0.177518	+	1.23466i
$474$	−5.98382	−	3.84557i	−0.274846	−	0.176633i
$475$	−6.46729	+	1.89897i	−0.296740	+	0.0871306i
$476$	0.792254	−	5.51024i	0.0363129	−	0.252562i
$477$	−4.17869	+	4.82246i	−0.191329	+	0.220805i
$478$	−12.7172	+	8.17284i	−0.581671	+	0.373817i
$479$	−5.04939	−	5.82730i	−0.230712	−	0.266256i	0.628576	−	0.777749i	$-0.283638\pi$
$479$	−5.04939	−	5.82730i	−0.230712	−	0.266256i	−0.859288	+	0.511492i	$0.829093\pi$
$480$	−2.39626	−	0.703605i	−0.109374	−	0.0321150i
$481$	14.9745	−	32.7895i	0.682777	−	1.49507i
$482$	19.1810			0.873672
$483$	3.86823	−	2.83492i	0.176011	−	0.128993i
$484$	2.42170			0.110077
$485$	−7.79103	+	17.0600i	−0.353773	+	0.774654i
$486$	0.959493	+	0.281733i	0.0435235	+	0.0127796i
$487$	12.5452	+	14.4780i	0.568479	+	0.656059i	0.965087	−	0.261928i	$-0.0843584\pi$
$487$	12.5452	+	14.4780i	0.568479	+	0.656059i	−0.396609	+	0.917988i	$0.629813\pi$
$488$	5.45060	−	3.50289i	0.246737	−	0.158568i
$489$	−5.63106	+	6.49859i	−0.254645	+	0.293876i
$490$	−0.355420	+	2.47200i	−0.0160563	+	0.111674i
$491$	−15.3981	+	4.52128i	−0.694905	+	0.204042i	−0.610064	−	0.792352i	$-0.708856\pi$
$491$	−15.3981	+	4.52128i	−0.694905	+	0.204042i	−0.0848406	+	0.996395i	$0.527038\pi$
$492$	9.04399	+	5.81222i	0.407735	+	0.262035i
$493$	6.54949	+	45.5527i	0.294974	+	2.05159i
$494$	−10.2220	−	22.3830i	−0.459909	−	1.00706i
$495$	−3.80083	−	8.32265i	−0.170834	−	0.374075i
$496$	0.329572	+	2.29223i	0.0147982	+	0.102924i
$497$	−7.55376	−	4.85451i	−0.338833	−	0.217755i
$498$	4.11900	−	1.20945i	0.184577	−	0.0541967i
$499$	1.66891	−	11.6075i	0.0747108	−	0.519625i	−0.917759	−	0.397137i	$-0.870004\pi$
$499$	1.66891	−	11.6075i	0.0747108	−	0.519625i	0.992470	−	0.122488i	$-0.0390872\pi$
$500$	−6.15405	+	7.10215i	−0.275218	+	0.317618i
$501$	9.57820	−	6.15554i	0.427923	−	0.275009i
$502$	6.00351	+	6.92841i	0.267950	+	0.309230i
$503$	−7.33523	−	2.15382i	−0.327062	−	0.0960340i	0.114080	−	0.993472i	$-0.463608\pi$
$503$	−7.33523	−	2.15382i	−0.327062	−	0.0960340i	−0.441141	+	0.897438i	$0.645426\pi$
$504$	0.415415	−	0.909632i	0.0185041	−	0.0405182i
$505$	−6.26815			−0.278929
$506$	15.3344	+	8.57640i	0.681698	+	0.381268i
$507$	7.39721			0.328521
$508$	−8.95093	+	19.5998i	−0.397133	+	0.869600i
$509$	8.23635	+	2.41841i	0.365070	+	0.107194i	0.459122	−	0.888373i	$-0.348164\pi$
$509$	8.23635	+	2.41841i	0.365070	+	0.107194i	−0.0940526	+	0.995567i	$0.529982\pi$
$510$	−9.10448	−	10.5071i	−0.403153	−	0.465264i
$511$	−10.3334	+	6.64084i	−0.457121	+	0.293774i
$512$	0.654861	−	0.755750i	0.0289410	−	0.0333997i
$513$	−0.775386	+	5.39293i	−0.0342341	+	0.238103i
$514$	7.25422	−	2.13003i	0.319970	−	0.0939516i
$515$	1.24000	+	0.796900i	0.0546409	+	0.0351156i
$516$	1.05382	+	7.32951i	0.0463920	+	0.322664i
$517$	15.0835	+	33.0282i	0.663371	+	1.45258i
$518$	3.31563	+	7.26022i	0.145680	+	0.318996i
$519$	−1.93393	−	13.4508i	−0.0848900	−	0.590423i
$520$	9.48865	+	6.09798i	0.416105	+	0.267414i
$521$	11.7619	−	3.45361i	0.515299	−	0.151305i	−0.0137358	−	0.999906i	$-0.504372\pi$
$521$	11.7619	−	3.45361i	0.515299	−	0.151305i	0.529035	+	0.848600i	$0.322554\pi$
$522$	−1.17650	+	8.18277i	−0.0514942	+	0.358150i
$523$	17.4860	−	20.1799i	0.764609	−	0.882406i	−0.231289	−	0.972885i	$-0.574294\pi$
$523$	17.4860	−	20.1799i	0.764609	−	0.882406i	0.995898	+	0.0904791i	$0.0288398\pi$
$524$	15.2615	−	9.80795i	0.666700	−	0.428462i
$525$	0.810143	+	0.934955i	0.0353575	+	0.0408048i
$526$	3.65092	+	1.07201i	0.159188	+	0.0467417i
$527$	−5.35546	+	11.7268i	−0.233287	+	0.510828i
$528$	3.66356			0.159436
$529$	12.0394	+	19.5972i	0.523454	+	0.852054i
$530$	15.9361			0.692221
$531$	3.91191	−	8.56589i	0.169762	−	0.371728i
$532$	5.22768	+	1.53499i	0.226649	+	0.0665501i
$533$	−31.7956	−	36.6941i	−1.37722	−	1.58940i
$534$	−8.54142	+	5.48924i	−0.369623	+	0.237542i
$535$	−28.2296	+	32.5787i	−1.22047	+	1.40850i
$536$	0.233576	−	1.62456i	0.0100890	−	0.0701702i
$537$	−22.4067	+	6.57921i	−0.966923	+	0.283914i
$538$	18.7638	+	12.0588i	0.808967	+	0.519891i
$539$	−0.521380	−	3.62627i	−0.0224574	−	0.156195i
$540$	−1.03747	−	2.27174i	−0.0446455	−	0.0977600i
$541$	8.63913	+	18.9170i	0.371425	+	0.813307i	0.999385	+	0.0350618i	$0.0111628\pi$
$541$	8.63913	+	18.9170i	0.371425	+	0.813307i	−0.627960	+	0.778246i	$0.716110\pi$
$542$	−2.23020	−	15.5114i	−0.0957952	−	0.666270i
$543$	−6.58654	−	4.23291i	−0.282655	−	0.181652i
$544$	5.34141	−	1.56838i	0.229011	−	0.0672437i
$545$	2.20153	−	15.3120i	0.0943033	−	0.655894i
$546$	−2.95756	+	3.41321i	−0.126572	+	0.146072i
$547$	−7.99581	+	5.13860i	−0.341876	+	0.219711i	−0.700300	−	0.713848i	$-0.746951\pi$
$547$	−7.99581	+	5.13860i	−0.341876	+	0.219711i	0.358424	+	0.933559i	$0.383314\pi$
$548$	13.7413	+	15.8583i	0.587000	+	0.677434i
$549$	6.21669	+	1.82538i	0.265322	+	0.0779055i
$550$	−1.88278	+	4.12271i	−0.0802819	+	0.175793i
$551$	−45.0413			−1.91882
$552$	4.18566	+	2.34100i	0.178153	+	0.0996396i
$553$	−7.11298			−0.302475
$554$	6.63326	−	14.5248i	0.281820	−	0.617101i
$555$	19.1257	+	5.61582i	0.811842	+	0.238378i
$556$	1.24944	+	1.44193i	0.0529882	+	0.0611516i
$557$	3.38771	−	2.17715i	0.143542	−	0.0922489i	−0.466899	−	0.884311i	$-0.654629\pi$
$557$	3.38771	−	2.17715i	0.143542	−	0.0922489i	0.610441	+	0.792062i	$0.290992\pi$
$558$	−1.51652	+	1.75016i	−0.0641996	+	0.0740903i
$559$	4.75942	−	33.1025i	0.201302	−	1.40009i
$560$	−2.39626	+	0.703605i	−0.101260	+	0.0297328i
$561$	17.1571	+	11.0262i	0.724375	+	0.465527i
$562$	−1.91349	−	13.3086i	−0.0807159	−	0.561391i
$563$	−14.3342	−	31.3876i	−0.604115	−	1.32283i	−0.926527	−	0.376228i	$-0.877221\pi$
$563$	−14.3342	−	31.3876i	−0.604115	−	1.32283i	0.322412	−	0.946599i	$-0.395506\pi$
$564$	4.11716	+	9.01533i	0.173364	+	0.379614i
$565$	−6.56965	−	45.6929i	−0.276387	−	1.92231i
$566$	4.32209	+	2.77764i	0.181671	+	0.116753i
$567$	0.959493	−	0.281733i	0.0402949	−	0.0118317i
$568$	1.27787	−	8.88778i	0.0536182	−	0.372923i
$569$	−3.76835	+	4.34891i	−0.157978	+	0.182316i	−0.829221	−	0.558922i	$-0.811215\pi$
$569$	−3.76835	+	4.34891i	−0.157978	+	0.182316i	0.671243	+	0.741237i	$0.265761\pi$
$570$	11.4469	−	7.35645i	0.479456	−	0.308128i
$571$	−11.1759	−	12.8977i	−0.467696	−	0.539750i	0.472073	−	0.881559i	$-0.343506\pi$
$571$	−11.1759	−	12.8977i	−0.467696	−	0.539750i	−0.939769	+	0.341809i	$0.888960\pi$
$572$	−15.8756	−	4.66151i	−0.663793	−	0.194907i
$573$	−8.36569	+	18.3183i	−0.349482	+	0.765258i
$574$	10.7506			0.448722
$575$	−4.78548	+	3.50714i	−0.199568	+	0.146258i
$576$	1.00000			0.0416667
$577$	−13.5569	+	29.6854i	−0.564381	+	1.23582i	0.385355	+	0.922768i	$0.374079\pi$
$577$	−13.5569	+	29.6854i	−0.564381	+	1.23582i	−0.949736	+	0.313053i	$0.898648\pi$
$578$	13.4238	+	3.94157i	0.558354	+	0.163948i
$579$	−13.3473	−	15.4036i	−0.554696	−	0.640153i
$580$	17.3685	−	11.1621i	0.721188	−	0.463480i
$581$	2.81125	−	3.24435i	0.116630	−	0.134598i
$582$	1.06874	−	7.43323i	0.0443006	−	0.308117i
$583$	−22.4304	+	6.58615i	−0.928971	+	0.272771i
$584$	−10.3334	−	6.64084i	−0.427597	−	0.274800i
$585$	1.60519	+	11.1644i	0.0663666	+	0.461590i
$586$	−10.2531	−	22.4512i	−0.423553	−	0.927451i
$587$	4.71080	+	10.3152i	0.194435	+	0.425754i	0.981590	−	0.191002i	$-0.0611737\pi$
$587$	4.71080	+	10.3152i	0.194435	+	0.425754i	−0.787154	+	0.616756i	$0.788446\pi$
$588$	−0.142315	−	0.989821i	−0.00586897	−	0.0408195i
$589$	−10.6144	−	6.82145i	−0.437358	−	0.281073i
$590$	−22.5653	+	6.62576i	−0.928997	+	0.272778i
$591$	2.18482	−	15.1958i	0.0898715	−	0.625070i
$592$	−5.22676	+	6.03201i	−0.214819	+	0.247914i
$593$	−18.4269	+	11.8422i	−0.756700	+	0.486302i	−0.861227	−	0.508220i	$-0.830304\pi$
$593$	−18.4269	+	11.8422i	−0.756700	+	0.486302i	0.104527	+	0.994522i	$0.466667\pi$
$594$	2.39912	+	2.76874i	0.0984373	+	0.113603i
$595$	−13.3398	−	3.91691i	−0.546877	−	0.160578i
$596$	−5.31776	+	11.6443i	−0.217824	+	0.476968i
$597$	−11.9759			−0.490142
$598$	−15.1594	−	15.4703i	−0.619913	−	0.632626i
$599$	9.75831			0.398714			0.199357	−	0.979927i	$-0.436115\pi$
$599$	9.75831			0.398714			0.199357	+	0.979927i	$0.436115\pi$
$600$	−0.513919	+	1.12533i	−0.0209807	+	0.0459413i
$601$	1.03475	+	0.303829i	0.0422083	+	0.0123935i	0.302769	−	0.953064i	$-0.402089\pi$
$601$	1.03475	+	0.303829i	0.0422083	+	0.0123935i	−0.260560	+	0.965458i	$0.583907\pi$
$602$	4.84917	+	5.59624i	0.197637	+	0.228086i
$603$	1.38072	−	0.887334i	0.0562272	−	0.0361350i
$604$	2.38138	−	2.74825i	0.0968968	−	0.111825i
$605$	0.860723	−	5.98646i	0.0349933	−	0.243384i
$606$	2.40818	−	0.707106i	0.0978257	−	0.0287242i
$607$	15.8234	+	10.1691i	0.642254	+	0.412752i	0.820828	−	0.571175i	$-0.193512\pi$
$607$	15.8234	+	10.1691i	0.642254	+	0.412752i	−0.178574	+	0.983926i	$0.557149\pi$
$608$	0.775386	+	5.39293i	0.0314460	+	0.218712i
$609$	3.43420	+	7.51985i	0.139161	+	0.304720i
$610$	−6.72190	−	14.7189i	−0.272162	−	0.595951i
$611$	−6.37018	−	44.3055i	−0.257710	−	1.79241i
$612$	4.68318	+	3.00970i	0.189306	+	0.121660i
$613$	18.5517	−	5.44728i	0.749298	−	0.220014i	0.115281	−	0.993333i	$-0.463223\pi$
$613$	18.5517	−	5.44728i	0.749298	−	0.220014i	0.634017	+	0.773319i	$0.281405\pi$
$614$	2.20464	−	15.3336i	0.0889719	−	0.618813i
$615$	17.5822	−	20.2910i	0.708985	−	0.818212i
$616$	3.08199	−	1.98067i	0.124177	−	0.0798036i
$617$	−21.5701	−	24.8933i	−0.868381	−	1.00217i	−0.999941	−	0.0108571i	$-0.996544\pi$
$617$	−21.5701	−	24.8933i	−0.868381	−	1.00217i	0.131560	−	0.991308i	$-0.458001\pi$
$618$	−0.566297	−	0.166280i	−0.0227798	−	0.00668876i
$619$	10.6555	−	23.3323i	0.428281	−	0.937806i	−0.565321	−	0.824871i	$-0.691248\pi$
$619$	10.6555	−	23.3323i	0.428281	−	0.937806i	0.993602	−	0.112935i	$-0.0360250\pi$
$620$	5.78352			0.232272
$621$	0.971812	+	4.69634i	0.0389975	+	0.188458i
$622$	15.5540			0.623659
$623$	−4.21779	+	9.23568i	−0.168982	+	0.370020i
$624$	−4.33338	−	1.27240i	−0.173474	−	0.0509366i
$625$	19.4200	+	22.4119i	0.776800	+	0.896474i
$626$	20.1844	−	12.9717i	0.806729	−	0.518453i
$627$	−13.0713	+	15.0851i	−0.522019	+	0.602442i
$628$	0.433920	−	3.01798i	0.0173153	−	0.120431i
$629$	−42.6324	+	12.5180i	−1.69986	+	0.499125i
$630$	−2.10097	−	1.35021i	−0.0837045	−	0.0537936i
$631$	−3.90145	−	27.1352i	−0.155314	−	1.08023i	−0.907127	−	0.420857i	$-0.861729\pi$
$631$	−3.90145	−	27.1352i	−0.155314	−	1.08023i	0.751813	−	0.659377i	$-0.229180\pi$
$632$	−2.95484	−	6.47020i	−0.117537	−	0.257371i
$633$	−4.14004	−	9.06543i	−0.164552	−	0.360318i
$634$	2.07142	+	14.4070i	0.0822666	+	0.572177i
$635$	45.2694	+	29.0929i	1.79646	+	1.15452i
$636$	−6.12255	+	1.79774i	−0.242775	+	0.0712852i
$637$	−0.642740	+	4.47036i	−0.0254663	+	0.177122i
$638$	−19.8334	+	22.8889i	−0.785210	+	0.906181i
$639$	7.55376	−	4.85451i	0.298822	−	0.192041i
$640$	−1.63546	−	1.88743i	−0.0646474	−	0.0746071i
$641$	14.2077	+	4.17175i	0.561170	+	0.164774i	0.550002	−	0.835163i	$-0.314627\pi$
$641$	14.2077	+	4.17175i	0.561170	+	0.164774i	0.0111677	+	0.999938i	$0.496445\pi$
$642$	7.17044	−	15.7011i	0.282995	−	0.619672i
$643$	−13.5699			−0.535145			−0.267573	−	0.963538i	$-0.586222\pi$
$643$	−13.5699			−0.535145			−0.267573	+	0.963538i	$0.586222\pi$
$644$	4.78684	−	0.293562i	0.188628	−	0.0115680i
$645$	18.4931			0.728166
$646$	−12.5998	+	27.5897i	−0.495733	+	1.08550i
$647$	−5.50474	−	1.61634i	−0.216414	−	0.0635448i	0.171728	−	0.985144i	$-0.445065\pi$
$647$	−5.50474	−	1.61634i	−0.216414	−	0.0635448i	−0.388142	+	0.921600i	$0.626883\pi$
$648$	0.654861	+	0.755750i	0.0257254	+	0.0296886i
$649$	29.0227	−	18.6517i	1.13924	−	0.732145i
$650$	3.65887	−	4.22256i	0.143513	−	0.165623i
$651$	−0.329572	+	2.29223i	−0.0129170	+	0.0898394i
$652$	−8.25055	+	2.42258i	−0.323116	+	0.0948755i
$653$	−31.8118	−	20.4442i	−1.24489	−	0.800043i	−0.258748	−	0.965945i	$-0.583310\pi$
$653$	−31.8118	−	20.4442i	−1.24489	−	0.800043i	−0.986142	+	0.165902i	$0.946946\pi$
$654$	0.881521	+	6.13112i	0.0344702	+	0.239746i
$655$	−18.8210	−	41.2123i	−0.735399	−	1.61030i
$656$	4.46597	+	9.77910i	0.174367	+	0.381810i
$657$	−1.74809	−	12.1583i	−0.0681996	−	0.474339i
$658$	8.33763	+	5.35827i	0.325035	+	0.208887i
$659$	35.4988	−	10.4234i	1.38284	−	0.406037i	0.496081	−	0.868276i	$-0.334772\pi$
$659$	35.4988	−	10.4234i	1.38284	−	0.406037i	0.886756	+	0.462239i	$0.152954\pi$
$660$	1.30211	−	9.05634i	0.0506844	−	0.352518i
$661$	7.30007	−	8.42473i	0.283940	−	0.327684i	−0.595806	−	0.803128i	$-0.703167\pi$
$661$	7.30007	−	8.42473i	0.283940	−	0.327684i	0.879746	+	0.475444i	$0.157713\pi$
$662$	−10.2828	+	6.60836i	−0.399652	+	0.256841i
$663$	−16.4645	−	19.0010i	−0.639428	−	0.737939i
$664$	4.11900	+	1.20945i	0.159848	+	0.0469357i
$665$	5.65252	−	12.3773i	0.219195	−	0.479971i
$666$	−7.98149			−0.309276
$667$	−37.2857	+	13.4774i	−1.44371	+	0.521846i
$668$	11.3856			0.440523
$669$	−9.15336	+	20.0431i	−0.353890	+	0.774910i
$670$	−3.93289	−	1.15480i	−0.151941	−	0.0446139i
$671$	15.5443	+	17.9390i	0.600080	+	0.692529i
$672$	0.841254	−	0.540641i	0.0324521	−	0.0208557i
$673$	−0.494844	+	0.571081i	−0.0190748	+	0.0220135i	−0.765207	−	0.643785i	$-0.777363\pi$
$673$	−0.494844	+	0.571081i	−0.0190748	+	0.0220135i	0.746132	+	0.665798i	$0.231909\pi$
$674$	−1.60018	+	11.1295i	−0.0616368	+	0.428693i
$675$	−1.18701	+	0.348538i	−0.0456881	+	0.0134152i
$676$	6.22293	+	3.99923i	0.239343	+	0.153817i
$677$	0.780016	+	5.42513i	0.0299785	+	0.208505i	0.999305	−	0.0372709i	$-0.0118664\pi$
$677$	0.780016	+	5.42513i	0.0299785	+	0.208505i	−0.969327	+	0.245776i	$0.920957\pi$
$678$	7.67860	+	16.8138i	0.294895	+	0.645729i
$679$	−3.11963	−	6.83103i	−0.119720	−	0.262151i
$680$	−1.97859	−	13.7614i	−0.0758756	−	0.527726i
$681$	−3.33174	−	2.14118i	−0.127672	−	0.0820501i
$682$	−8.14040	+	2.39024i	−0.311712	+	0.0915270i
$683$	5.82372	−	40.5049i	0.222838	−	1.54988i	−0.504388	−	0.863477i	$-0.668282\pi$
$683$	5.82372	−	40.5049i	0.222838	−	1.54988i	0.727226	−	0.686398i	$-0.240809\pi$
$684$	−3.56793	+	4.11761i	−0.136423	+	0.157441i
$685$	44.0858	−	28.3322i	1.68443	−	1.08252i
$686$	−0.654861	−	0.755750i	−0.0250027	−	0.0288547i
$687$	8.36283	+	2.45555i	0.319062	+	0.0936850i
$688$	−3.07610	+	6.73572i	−0.117275	+	0.256797i
$689$	28.8188			1.09791
$690$	7.27463	−	9.51492i	0.276940	−	0.362227i
$691$	33.1084			1.25950			0.629751	−	0.776797i	$-0.283157\pi$
$691$	33.1084			1.25950			0.629751	+	0.776797i	$0.283157\pi$
$692$	5.64511	−	12.3611i	0.214595	−	0.469897i
$693$	3.51516	+	1.03215i	0.133530	+	0.0392080i
$694$	0.242815	+	0.280224i	0.00921714	+	0.0106371i
$695$	4.00854	−	2.57613i	0.152053	−	0.0977183i
$696$	−5.41368	+	6.24772i	−0.205205	+	0.236819i
$697$	−8.51721	+	59.2385i	−0.322612	+	2.24382i
$698$	−23.5535	+	6.91594i	−0.891514	+	0.261772i
$699$	23.1862	+	14.9009i	0.876983	+	0.563603i
$700$	0.176061	+	1.22453i	0.00665448	+	0.0462829i
$701$	19.5658	+	42.8431i	0.738989	+	1.61816i	0.785210	+	0.619230i	$0.212555\pi$
$701$	19.5658	+	42.8431i	0.738989	+	1.61816i	−0.0462204	+	0.998931i	$0.514718\pi$
$702$	−1.87615	−	4.10820i	−0.0708107	−	0.155054i
$703$	−6.18873	−	43.0436i	−0.233412	−	1.62342i
$704$	3.08199	+	1.98067i	0.116157	+	0.0746494i
$705$	23.7492	−	6.97341i	0.894448	−	0.262634i
$706$	1.92443	−	13.3847i	0.0724271	−	0.503741i
$707$	1.64360	−	1.89682i	0.0618140	−	0.0713371i
$708$	7.92197	−	5.09114i	0.297726	−	0.191337i
$709$	6.93654	+	8.00519i	0.260507	+	0.300641i	0.870903	−	0.491455i	$-0.163535\pi$
$709$	6.93654	+	8.00519i	0.260507	+	0.300641i	−0.610395	+	0.792097i	$0.708989\pi$
$710$	−21.5164	−	6.31780i	−0.807498	−	0.237103i
$711$	2.95484	−	6.47020i	0.110815	−	0.242651i
$712$	−10.1532			−0.380507
$713$	−10.8278	−	2.47081i	−0.405506	−	0.0925326i
$714$	5.56691			0.208336
$715$	−17.1658	+	37.5878i	−0.641964	+	1.40570i
$716$	−22.4067	−	6.57921i	−0.837379	−	0.245877i
$717$	−9.89950	−	11.4246i	−0.369703	−	0.426661i
$718$	−9.75801	+	6.27109i	−0.364166	+	0.234035i
$719$	−29.9089	+	34.5168i	−1.11542	+	1.28726i	−0.161602	+	0.986856i	$0.551666\pi$
$719$	−29.9089	+	34.5168i	−1.11542	+	1.28726i	−0.953813	+	0.300402i	$0.902879\pi$
$720$	0.355420	−	2.47200i	0.0132457	−	0.0921261i
$721$	−0.566297	+	0.166280i	−0.0210900	+	0.00619259i
$722$	−8.98868	−	5.77668i	−0.334524	−	0.214986i
$723$	2.72975	+	18.9858i	0.101520	+	0.706089i
$724$	−3.25246	−	7.12190i	−0.120877	−	0.264683i
$725$	−4.24853	−	9.30298i	−0.157786	−	0.345504i
$726$	0.344644	+	2.39705i	0.0127909	+	0.0889630i
$727$	−2.51880	−	1.61873i	−0.0934171	−	0.0600355i	0.493098	−	0.869974i	$-0.335864\pi$
$727$	−2.51880	−	1.61873i	−0.0934171	−	0.0600355i	−0.586515	+	0.809938i	$0.699501\pi$
$728$	−4.33338	+	1.27240i	−0.160606	+	0.0471581i
$729$	−0.142315	+	0.989821i	−0.00527092	+	0.0366601i
$730$	−20.0889	+	23.1838i	−0.743522	+	0.858071i
$731$	−34.6784	+	22.2865i	−1.28263	+	0.824294i
$732$	4.24293	+	4.89661i	0.156823	+	0.180984i
$733$	37.1940	+	10.9211i	1.37379	+	0.403382i	0.883604	−	0.468235i	$-0.155110\pi$
$733$	37.1940	+	10.9211i	1.37379	+	0.403382i	0.490188	+	0.871617i	$0.336928\pi$
$734$	−7.66440	+	16.7827i	−0.282898	+	0.619460i
$735$	−2.49742			−0.0921188
$736$	2.25556	+	4.23231i	0.0831410	+	0.156005i
$737$	6.01287			0.221487
$738$	−4.46597	+	9.77910i	−0.164394	+	0.359974i
$739$	−26.9147	−	7.90288i	−0.990074	−	0.290712i	−0.253697	−	0.967284i	$-0.581647\pi$
$739$	−26.9147	−	7.90288i	−0.990074	−	0.290712i	−0.736377	+	0.676572i	$0.763465\pi$
$740$	13.0534	+	15.0645i	0.479854	+	0.553781i
$741$	20.7005	−	13.3034i	0.760450	−	0.488712i
$742$	−4.17869	+	4.82246i	−0.153404	+	0.177038i
$743$	−0.617798	+	4.29688i	−0.0226648	+	0.157637i	−0.998011	−	0.0630443i	$-0.979919\pi$
$743$	−0.617798	+	4.29688i	−0.0226648	+	0.157637i	0.975346	+	0.220682i	$0.0708281\pi$
$744$	−2.22199	+	0.652435i	−0.0814621	+	0.0239194i
$745$	26.8946	+	17.2841i	0.985343	+	0.633241i
$746$	0.325005	+	2.26046i	0.0118993	+	0.0827612i
$747$	1.78333	+	3.90495i	0.0652487	+	0.142875i
$748$	8.47227	+	18.5517i	0.309777	+	0.678317i
$749$	−2.45648	−	17.0852i	−0.0897580	−	0.624280i
$750$	−7.90568	−	5.08067i	−0.288675	−	0.185520i
$751$	−10.6763	+	3.13483i	−0.389583	+	0.114392i	−0.470657	−	0.882316i	$-0.655983\pi$
$751$	−10.6763	+	3.13483i	−0.389583	+	0.114392i	0.0810744	+	0.996708i	$0.474165\pi$
$752$	−1.41048	+	9.81008i	−0.0514348	+	0.357737i
$753$	−6.00351	+	6.92841i	−0.218780	+	0.252485i
$754$	31.4091	−	20.1854i	1.14385	−	0.735110i
$755$	−5.94730	−	6.86355i	−0.216444	−	0.249790i
$756$	0.959493	+	0.281733i	0.0348964	+	0.0102465i
$757$	14.1133	−	30.9037i	0.512955	−	1.12321i	−0.459084	−	0.888393i	$-0.651822\pi$
$757$	14.1133	−	30.9037i	0.512955	−	1.12321i	0.972039	−	0.234821i	$-0.0754505\pi$
$758$	12.6994			0.461265
$759$	−6.30679	+	16.3989i	−0.228922	+	0.595242i
$760$	13.6069			0.493575
$761$	−16.3935	+	35.8968i	−0.594264	+	1.30126i	0.338567	+	0.940942i	$0.390058\pi$
$761$	−16.3935	+	35.8968i	−0.594264	+	1.30126i	−0.932831	+	0.360314i	$0.882669\pi$
$762$	−20.6741	−	6.07048i	−0.748945	−	0.219910i
$763$	4.05631	+	4.68124i	0.146848	+	0.169472i
$764$	−16.9413	+	10.8875i	−0.612914	+	0.393896i
$765$	9.10448	−	10.5071i	0.329173	−	0.379886i
$766$	−0.429210	+	2.98522i	−0.0155080	+	0.107860i
$767$	−40.8069	+	11.9820i	−1.47345	+	0.432645i
$768$	0.841254	+	0.540641i	0.0303561	+	0.0195087i
$769$	−4.56218	−	31.7307i	−0.164517	−	1.14424i	−0.889988	−	0.455985i	$-0.849287\pi$
$769$	−4.56218	−	31.7307i	−0.164517	−	1.14424i	0.725471	−	0.688253i	$-0.241622\pi$
$770$	−3.80083	−	8.32265i	−0.136972	−	0.299928i
$771$	3.14073	+	6.87724i	0.113111	+	0.247678i
$772$	−2.90065	−	20.1745i	−0.104397	−	0.726095i
$773$	37.9351	+	24.3794i	1.36443	+	0.876867i	0.998552	−	0.0537949i	$-0.0171317\pi$
$773$	37.9351	+	24.3794i	1.36443	+	0.876867i	0.365880	+	0.930662i	$0.380768\pi$
$774$	−7.10493	+	2.08620i	−0.255382	+	0.0749868i
$775$	0.407721	−	2.83576i	0.0146458	−	0.101864i
$776$	4.91779	−	5.67543i	0.176538	−	0.203736i
$777$	−6.71445	+	4.31512i	−0.240880	+	0.154804i
$778$	−21.6528	−	24.9887i	−0.776291	−	0.895888i
$779$	−56.2008	−	16.5020i	−2.01360	−	0.591247i
$780$	−4.68554	+	10.2599i	−0.167769	+	0.367363i
$781$	32.8958			1.17710
$782$	−2.17479	+	26.6092i	−0.0777704	+	0.951544i
$783$	−8.26692			−0.295435
$784$	0.415415	−	0.909632i	0.0148363	−	0.0324869i
$785$	−7.30624	−	2.14530i	−0.260771	−	0.0765692i
$786$	11.8800	+	13.7103i	0.423747	+	0.489030i
$787$	−23.4604	+	15.0771i	−0.836273	+	0.537440i	−0.887266	−	0.461259i	$-0.847398\pi$
$787$	−23.4604	+	15.0771i	−0.836273	+	0.537440i	0.0509924	+	0.998699i	$0.483762\pi$
$788$	10.0534	−	11.6023i	0.358139	−	0.413314i
$789$	−0.541515	+	3.76632i	−0.0192785	+	0.134085i
$790$	−17.0446	+	5.00473i	−0.606418	+	0.178060i
$791$	15.5499	+	9.99329i	0.552889	+	0.355321i
$792$	0.521380	+	3.62627i	0.0185264	+	0.128854i
$793$	−12.1558	−	26.6176i	−0.431667	−	0.945218i
$794$	−8.73115	−	19.1185i	−0.309857	−	0.678492i
$795$	2.26795	+	15.7739i	0.0804358	+	0.559444i
$796$	−10.0748	−	6.47468i	−0.357092	−	0.229489i
$797$	−18.2020	+	5.34459i	−0.644748	+	0.189315i	−0.587729	−	0.809058i	$-0.699978\pi$
$797$	−18.2020	+	5.34459i	−0.644748	+	0.189315i	−0.0570190	+	0.998373i	$0.518160\pi$
$798$	−0.775386	+	5.39293i	−0.0274484	+	0.190907i
$799$	−36.1309	+	41.6973i	−1.27822	+	1.47514i
$800$	−1.04073	+	0.668839i	−0.0367955	+	0.0236470i
$801$	−6.64893	−	7.67328i	−0.234928	−	0.271122i
$802$	5.49904	+	1.61467i	0.194178	+	0.0570158i
$803$	18.6939	−	40.9340i	0.659694	−	1.44453i
$804$	1.64126			0.0578829
$805$	0.975653	−	11.9374i	0.0343873	−	0.420739i
$806$	10.4589			0.368399
$807$	−9.26568	+	20.2890i	−0.326167	+	0.714207i
$808$	2.40818	+	0.707106i	0.0847195	+	0.0248759i
$809$	−11.4963	−	13.2675i	−0.404189	−	0.466459i	0.516767	−	0.856126i	$-0.327135\pi$
$809$	−11.4963	−	13.2675i	−0.404189	−	0.466459i	−0.920956	+	0.389667i	$0.872590\pi$
$810$	2.10097	−	1.35021i	0.0738204	−	0.0474415i
$811$	−19.2126	+	22.1726i	−0.674647	+	0.778584i	−0.985096	−	0.172006i	$-0.944975\pi$
$811$	−19.2126	+	22.1726i	−0.674647	+	0.778584i	0.310449	+	0.950590i	$0.399521\pi$
$812$	−1.17650	+	8.18277i	−0.0412872	+	0.287159i
$813$	15.0361	−	4.41500i	0.527339	−	0.154841i
$814$	−24.5988	−	15.8087i	−0.862189	−	0.554095i
$815$	3.05621	+	21.2564i	0.107054	+	0.744580i
$816$	2.31258	+	5.06384i	0.0809564	+	0.177270i
$817$	−16.7598	−	36.6988i	−0.586350	−	1.28393i
$818$	5.14616	+	35.7923i	0.179931	+	1.25145i
$819$	−3.79938	−	2.44171i	−0.132761	−	0.0853203i
$820$	25.7613	−	7.56419i	0.899622	−	0.264153i
$821$	2.04496	−	14.2230i	0.0713696	−	0.496386i	−0.922515	−	0.385961i	$-0.873870\pi$
$821$	2.04496	−	14.2230i	0.0713696	−	0.496386i	0.993884	−	0.110425i	$-0.0352211\pi$
$822$	−13.7413	+	15.8583i	−0.479283	+	0.553122i
$823$	13.0686	−	8.39869i	0.455543	−	0.292760i	−0.292676	−	0.956212i	$-0.594546\pi$
$823$	13.0686	−	8.39869i	0.455543	−	0.292760i	0.748219	+	0.663452i	$0.230909\pi$
$824$	−0.386502	−	0.446047i	−0.0134644	−	0.0155388i
$825$	−4.34869	−	1.27689i	−0.151402	−	0.0444556i
$826$	3.91191	−	8.56589i	0.136113	−	0.298045i
$827$	45.6175			1.58628			0.793139	−	0.609041i	$-0.208446\pi$
$827$	45.6175			1.58628			0.793139	+	0.609041i	$0.208446\pi$
$828$	−1.72149	+	4.47621i	−0.0598259	+	0.155559i
$829$	−48.7066			−1.69165			−0.845825	−	0.533461i	$-0.820891\pi$
$829$	−48.7066			−1.69165			−0.845825	+	0.533461i	$0.820891\pi$
$830$	4.45374	−	9.75232i	0.154591	−	0.338508i
$831$	15.3210	+	4.49865i	0.531479	+	0.156056i
$832$	−2.95756	−	3.41321i	−0.102535	−	0.118332i
$833$	4.68318	−	3.00970i	0.162263	−	0.104280i
$834$	−1.24944	+	1.44193i	−0.0432646	+	0.0499301i
$835$	4.04669	−	28.1453i	0.140041	−	0.974009i
$836$	−19.1520	+	5.62352i	−0.662384	+	0.194494i
$837$	−1.94817	−	1.25201i	−0.0673387	−	0.0432759i
$838$	−3.15910	−	21.9720i	−0.109129	−	0.759011i
$839$	−4.49827	−	9.84983i	−0.155297	−	0.340054i	0.815951	−	0.578120i	$-0.196214\pi$
$839$	−4.49827	−	9.84983i	−0.155297	−	0.340054i	−0.971249	+	0.238067i	$0.923486\pi$
$840$	−1.03747	−	2.27174i	−0.0357960	−	0.0783823i
$841$	−5.59894	−	38.9415i	−0.193067	−	1.34281i
$842$	3.59365	+	2.30950i	0.123845	+	0.0795905i
$843$	12.9009	−	3.78803i	0.444329	−	0.130467i
$844$	1.41832	−	9.86460i	0.0488204	−	0.339554i
$845$	12.0979	−	13.9617i	0.416179	−	0.480296i
$846$	−8.33763	+	5.35827i	−0.286654	+	0.184221i
$847$	1.58588	+	1.83020i	0.0544914	+	0.0628864i
$848$	−6.12255	−	1.79774i	−0.210249	−	0.0617348i
$849$	−2.13427	+	4.67339i	−0.0732479	+	0.160390i
$850$	−6.88695			−0.236220
$851$	−18.0027	−	33.7801i	−0.617125	−	1.15797i
$852$	8.97918			0.307622
$853$	8.02660	−	17.5758i	0.274826	−	0.601784i	−0.721013	−	0.692922i	$-0.756323\pi$
$853$	8.02660	−	17.5758i	0.274826	−	0.601784i	0.995838	+	0.0911376i	$0.0290503\pi$
$854$	6.21669	+	1.82538i	0.212731	+	0.0624634i
$855$	8.91064	+	10.2834i	0.304737	+	0.351686i
$856$	14.5208	−	9.33195i	0.496311	−	0.318960i
$857$	17.0677	−	19.6972i	0.583023	−	0.672844i	−0.385229	−	0.922821i	$-0.625878\pi$
$857$	17.0677	−	19.6972i	0.583023	−	0.672844i	0.968252	+	0.249977i	$0.0804230\pi$
$858$	2.35472	−	16.3774i	0.0803888	−	0.559117i
$859$	36.8801	−	10.8290i	1.25833	−	0.369480i	0.416460	−	0.909154i	$-0.363271\pi$
$859$	36.8801	−	10.8290i	1.25833	−	0.369480i	0.841874	+	0.539674i	$0.181452\pi$
$860$	15.5574	+	9.99814i	0.530503	+	0.340934i
$861$	1.52997	+	10.6412i	0.0521413	+	0.362651i
$862$	2.90856	+	6.36885i	0.0990658	+	0.216924i
$863$	11.7884	+	25.8131i	0.401283	+	0.878687i	0.997139	+	0.0755956i	$0.0240858\pi$
$863$	11.7884	+	25.8131i	0.401283	+	0.878687i	−0.595856	+	0.803092i	$0.703187\pi$
$864$	0.142315	+	0.989821i	0.00484165	+	0.0336744i
$865$	−28.5502	−	18.3481i	−0.970736	−	0.623854i
$866$	14.7233	−	4.32314i	0.500317	−	0.146906i
$867$	−1.99105	+	13.8481i	−0.0676196	+	0.470305i
$868$	−1.51652	+	1.75016i	−0.0514742	+	0.0594044i
$869$	21.9221	−	14.0885i	0.743657	−	0.477919i
$870$	13.5202	+	15.6032i	0.458379	+	0.528998i
$871$	−7.11222	−	2.08834i	−0.240988	−	0.0707606i
$872$	−2.57315	+	5.63441i	−0.0871378	+	0.190805i
$873$	7.50967			0.254164
$874$	−25.4747	−	5.81308i	−0.861694	−	0.196630i
$875$	−9.39750			−0.317693
$876$	5.10266	−	11.1733i	0.172403	−	0.377510i
$877$	8.77372	+	2.57620i	0.296268	+	0.0869920i	0.426488	−	0.904493i	$-0.359750\pi$
$877$	8.77372	+	2.57620i	0.296268	+	0.0869920i	−0.130221	+	0.991485i	$0.541569\pi$
$878$	5.05857	+	5.83790i	0.170719	+	0.197020i
$879$	20.7635	−	13.3439i	0.700336	−	0.450079i
$880$	5.99163	−	6.91471i	0.201978	−	0.233095i
$881$	−3.18077	+	22.1227i	−0.107163	+	0.745334i	0.863406	+	0.504510i	$0.168327\pi$
$881$	−3.18077	+	22.1227i	−0.107163	+	0.745334i	−0.970569	+	0.240824i	$0.922582\pi$
$882$	0.959493	−	0.281733i	0.0323078	−	0.00948643i
$883$	−9.80773	−	6.30305i	−0.330056	−	0.212114i	0.365108	−	0.930965i	$-0.381032\pi$
$883$	−9.80773	−	6.30305i	−0.330056	−	0.212114i	−0.695164	+	0.718851i	$0.744668\pi$
$884$	−3.57808	−	24.8861i	−0.120344	−	0.837009i
$885$	−9.76969	−	21.3926i	−0.328405	−	0.719106i
$886$	3.99165	+	8.74050i	0.134102	+	0.293643i
$887$	1.90465	+	13.2472i	0.0639520	+	0.444796i	0.996489	+	0.0837220i	$0.0266808\pi$
$887$	1.90465	+	13.2472i	0.0639520	+	0.444796i	−0.932537	+	0.361074i	$0.882410\pi$
$888$	−6.71445	−	4.31512i	−0.225322	−	0.144806i
$889$	−20.6741	+	6.07048i	−0.693389	+	0.203597i
$890$	−3.60865	+	25.0987i	−0.120962	+	0.841312i
$891$	−2.39912	+	2.76874i	−0.0803737	+	0.0927562i
$892$	−18.5364	+	11.9126i	−0.620645	+	0.398864i
$893$	−35.3616	−	40.8095i	−1.18333	−	1.36564i
$894$	−12.2825	−	3.60648i	−0.410790	−	0.120619i
$895$	−24.2277	+	53.0512i	−0.809841	+	1.77330i
$896$	1.00000			0.0334077
$897$	13.1554	−	17.2067i	0.439246	−	0.574516i
$898$	25.6993			0.857598
$899$	7.95291	−	17.4144i	0.265244	−	0.580804i
$900$	−1.18701	−	0.348538i	−0.0395670	−	0.0116179i
$901$	−23.2624	−	26.8462i	−0.774982	−	0.894377i
$902$	−33.1332	+	21.2934i	−1.10322	+	0.708994i
$903$	−4.84917	+	5.59624i	−0.161370	+	0.186231i
$904$	−2.63057	+	18.2960i	−0.0874915	+	0.608516i
$905$	−18.7614	+	5.50883i	−0.623649	+	0.183120i
$906$	3.05919	+	1.96602i	0.101635	+	0.0653166i
$907$	−5.09504	−	35.4368i	−0.169178	−	1.17666i	−0.880588	−	0.473882i	$-0.842852\pi$
$907$	−5.09504	−	35.4368i	−0.169178	−	1.17666i	0.711410	−	0.702777i	$-0.248057\pi$
$908$	−1.64523	−	3.60255i	−0.0545988	−	0.119555i
$909$	1.04263	+	2.28304i	0.0345818	+	0.0757236i
$910$	1.60519	+	11.1644i	0.0532117	+	0.370095i
$911$	8.99186	+	5.77872i	0.297913	+	0.191457i	0.681055	−	0.732232i	$-0.261521\pi$
$911$	8.99186	+	5.77872i	0.297913	+	0.191457i	−0.383141	+	0.923690i	$0.625158\pi$
$912$	−5.22768	+	1.53499i	−0.173106	+	0.0508285i
$913$	−2.23823	+	15.5672i	−0.0740745	+	0.515199i
$914$	−13.7711	+	15.8927i	−0.455508	+	0.525685i
$915$	13.6125	−	8.74819i	0.450014	−	0.289206i
$916$	5.70769	+	6.58703i	0.188587	+	0.217641i
$917$	17.4065	+	5.11100i	0.574813	+	0.168780i
$918$	−2.31258	+	5.06384i	−0.0763264	+	0.167132i
$919$	−41.6919			−1.37529			−0.687645	−	0.726047i	$-0.741355\pi$
$919$	−41.6919			−1.37529			−0.687645	+	0.726047i	$0.741355\pi$
$920$	11.2640	−	4.07150i	0.371362	−	0.134233i
$921$	15.4913			0.510455
$922$	−5.72426	+	12.5344i	−0.188518	+	0.412798i
$923$	−38.9102	−	11.4251i	−1.28075	−	0.376061i
$924$	2.39912	+	2.76874i	0.0789254	+	0.0910848i
$925$	8.30660	−	5.33833i	0.273119	−	0.175523i
$926$	−19.6084	+	22.6293i	−0.644371	+	0.743644i
$927$	0.0839949	−	0.584197i	0.00275875	−	0.0191876i
$928$	−7.93205	+	2.32906i	−0.260382	+	0.0764551i
$929$	0.645528	+	0.414855i	0.0211791	+	0.0136110i	0.551188	−	0.834381i	$-0.314175\pi$
$929$	0.645528	+	0.414855i	0.0211791	+	0.0136110i	−0.530008	+	0.847992i	$0.677811\pi$
$930$	0.823081	+	5.72466i	0.0269899	+	0.187719i
$931$	2.26334	+	4.95602i	0.0741780	+	0.162427i
$932$	11.4495	+	25.0708i	0.375040	+	0.821222i
$933$	2.21357	+	15.3957i	0.0724689	+	0.504032i
$934$	−7.88769	−	5.06911i	−0.258093	−	0.165866i
$935$	48.8711	−	14.3498i	1.59825	−	0.469290i
$936$	0.642740	−	4.47036i	0.0210086	−	0.146118i
$937$	−24.4148	+	28.1762i	−0.797598	+	0.920477i	−0.998247	−	0.0591861i	$-0.981149\pi$
$937$	−24.4148	+	28.1762i	−0.797598	+	0.920477i	0.200649	+	0.979663i	$0.435695\pi$
$938$	1.38072	−	0.887334i	0.0450821	−	0.0289725i
$939$	15.7122	+	18.1328i	0.512748	+	0.591743i
$940$	23.7492	+	6.97341i	0.774615	+	0.227447i
$941$	14.0749	−	30.8196i	0.458827	−	1.00469i	−0.528926	−	0.848668i	$-0.677405\pi$
$941$	14.0749	−	30.8196i	0.458827	−	1.00469i	0.987753	−	0.156024i	$-0.0498676\pi$
$942$	3.04902			0.0993423
$943$	−51.4614	+	3.15597i	−1.67582	+	0.102773i
$944$	9.41687			0.306493
$945$	1.03747	−	2.27174i	0.0337488	−	0.0738996i
$946$	−26.0294	−	7.64292i	−0.846288	−	0.248493i
$947$	−25.6137	−	29.5598i	−0.832335	−	0.960565i	0.167344	−	0.985899i	$-0.446481\pi$
$947$	−25.6137	−	29.5598i	−0.832335	−	0.960565i	−0.999679	+	0.0253330i	$0.991935\pi$
$948$	5.98382	−	3.84557i	0.194346	−	0.124898i
$949$	−36.3286	+	41.9254i	−1.17928	+	1.36096i
$950$	0.959247	−	6.67171i	0.0311221	−	0.216459i
$951$	−13.9656	+	4.10067i	−0.452866	+	0.132973i
$952$	4.68318	+	3.00970i	0.151783	+	0.0975449i
$953$	3.47981	+	24.2026i	0.112722	+	0.783998i	0.965252	+	0.261320i	$0.0841579\pi$
$953$	3.47981	+	24.2026i	0.112722	+	0.783998i	−0.852530	+	0.522678i	$0.824933\pi$
$954$	−2.65078	−	5.80439i	−0.0858220	−	0.187924i
$955$	20.8927	+	45.7485i	0.676071	+	1.48039i
$956$	−2.15137	−	14.9631i	−0.0695802	−	0.483941i
$957$	−25.4785	−	16.3741i	−0.823604	−	0.529298i
$958$	7.39829	−	2.17233i	0.239028	−	0.0701849i
$959$	−2.98627	+	20.7700i	−0.0964318	+	0.670698i
$960$	1.63546	−	1.88743i	0.0527844	−	0.0609164i
$961$	−21.5673	+	13.8605i	−0.695719	+	0.447111i
$962$	23.6058	+	27.2425i	0.761080	+	0.878334i
$963$	16.5617	+	4.86296i	0.533694	+	0.156707i
$964$	−7.96809	+	17.4477i	−0.256635	+	0.561952i
$965$	−50.9023			−1.63860
$966$	0.971812	+	4.69634i	0.0312675	+	0.151102i
$967$	−42.5764			−1.36917			−0.684583	−	0.728935i	$-0.740016\pi$
$967$	−42.5764			−1.36917			−0.684583	+	0.728935i	$0.740016\pi$
$968$	−1.00601	+	2.20286i	−0.0323344	+	0.0708025i
$969$	−29.1020	−	8.54513i	−0.934892	−	0.274509i
$970$	−12.2818	−	14.1739i	−0.394345	−	0.455098i
$971$	9.93630	−	6.38567i	0.318871	−	0.204926i	−0.371407	−	0.928470i	$-0.621125\pi$
$971$	9.93630	−	6.38567i	0.318871	−	0.204926i	0.690278	+	0.723544i	$0.257488\pi$
$972$	−0.654861	+	0.755750i	−0.0210047	+	0.0242407i
$973$	−0.271530	+	1.88853i	−0.00870484	+	0.0605435i
$974$	−18.3811	+	5.39718i	−0.588968	+	0.172937i
$975$	4.70029	+	3.02070i	0.150530	+	0.0967397i
$976$	0.922078	+	6.41319i	0.0295150	+	0.205281i
$977$	8.43042	+	18.4600i	0.269713	+	0.590589i	0.995224	−	0.0976220i	$-0.0311236\pi$
$977$	8.43042	+	18.4600i	0.269713	+	0.590589i	−0.725511	+	0.688211i	$0.758396\pi$
$978$	−3.57210	−	7.82180i	−0.114223	−	0.250114i
$979$	−5.29367	−	36.8183i	−0.169186	−	1.17672i
$980$	−2.10097	−	1.35021i	−0.0671129	−	0.0431308i
$981$	−5.94326	+	1.74510i	−0.189754	+	0.0557167i
$982$	2.28389	−	15.8848i	0.0728817	−	0.506903i
$983$	−22.6767	+	26.1704i	−0.723276	+	0.834705i	−0.991697	−	0.128597i	$-0.958953\pi$
$983$	−22.6767	+	26.1704i	−0.723276	+	0.834705i	0.268421	+	0.963302i	$0.413498\pi$
$984$	−9.04399	+	5.81222i	−0.288312	+	0.185287i
$985$	−25.1077	−	28.9758i	−0.799997	−	0.923246i
$986$	−44.1570	−	12.9657i	−1.40624	−	0.412911i
$987$	−4.11716	+	9.01533i	−0.131051	+	0.286961i
$988$	24.6067			0.782843
$989$	−24.8550	−	25.3648i	−0.790344	−	0.806552i
$990$	9.14947			0.290789
$991$	21.3269	−	46.6994i	0.677472	−	1.48346i	−0.187829	−	0.982202i	$-0.560145\pi$
$991$	21.3269	−	46.6994i	0.677472	−	1.48346i	0.865300	−	0.501254i	$-0.167128\pi$
$992$	−2.22199	−	0.652435i	−0.0705483	−	0.0207148i
$993$	−8.00449	−	9.23767i	−0.254015	−	0.293149i
$994$	7.55376	−	4.85451i	0.239591	−	0.153976i
$995$	−19.5862	+	22.6037i	−0.620925	+	0.716585i
$996$	−0.610942	+	4.24920i	−0.0193585	+	0.134641i
$997$	54.9112	−	16.1234i	1.73905	−	0.510632i	0.750418	−	0.660964i	$-0.229852\pi$
$997$	54.9112	−	16.1234i	1.73905	−	0.510632i	0.988636	+	0.150331i	$0.0480340\pi$
$998$	9.86530	+	6.34004i	0.312281	+	0.200691i
$999$	−1.13588	−	7.90025i	−0.0359378	−	0.249953i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.q.f.673.2	yes	30
23.4	even	11	inner	966.2.q.f.211.2	✓	30

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.q.f.211.2	✓	30	23.4	even	11	inner
966.2.q.f.673.2	yes	30	1.1	even	1	trivial

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)

\(f(q)\)	\(=\)	\(q+(-0.415415 + 0.909632i) q^{2} +(-0.959493 - 0.281733i) q^{3} +(-0.654861 - 0.755750i) q^{4} +(-2.10097 + 1.35021i) q^{5} +(0.654861 - 0.755750i) q^{6} +(0.142315 - 0.989821i) q^{7} +(0.959493 - 0.281733i) q^{8} +(0.841254 + 0.540641i) q^{9} +O(q^{10})\)	\(q+(-0.415415 + 0.909632i) q^{2} +(-0.959493 - 0.281733i) q^{3} +(-0.654861 - 0.755750i) q^{4} +(-2.10097 + 1.35021i) 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} +(-0.355420 - 2.47200i) q^{10} +(1.52190 + 3.33250i) q^{11} +(0.415415 + 0.909632i) q^{12} +(-0.642740 - 4.47036i) q^{13} +(0.841254 + 0.540641i) q^{14} +(2.39626 - 0.703605i) q^{15} +(-0.142315 + 0.989821i) q^{16} +(-3.64555 + 4.20719i) q^{17} +(-0.841254 + 0.540641i) q^{18} +(-3.56793 - 4.11761i) q^{19} +(2.39626 + 0.703605i) q^{20} +(-0.415415 + 0.909632i) q^{21} -3.66356 q^{22} +(-4.18566 - 2.34100i) q^{23} -1.00000 q^{24} +(0.513919 - 1.12533i) q^{25} +(4.33338 + 1.27240i) q^{26} +(-0.654861 - 0.755750i) q^{27} +(-0.841254 + 0.540641i) q^{28} +(5.41368 - 6.24772i) q^{29} +(-0.355420 + 2.47200i) q^{30} +(2.22199 - 0.652435i) q^{31} +(-0.841254 - 0.540641i) q^{32} +(-0.521380 - 3.62627i) q^{33} +(-2.31258 - 5.06384i) q^{34} +(1.03747 + 2.27174i) q^{35} +(-0.142315 - 0.989821i) q^{36} +(6.71445 + 4.31512i) q^{37} +(5.22768 - 1.53499i) q^{38} +(-0.642740 + 4.47036i) q^{39} +(-1.63546 + 1.88743i) q^{40} +(9.04399 - 5.81222i) q^{41} +(-0.654861 - 0.755750i) q^{42} +(7.10493 + 2.08620i) q^{43} +(1.52190 - 3.33250i) q^{44} -2.49742 q^{45} +(3.86823 - 2.83492i) q^{46} +9.91096 q^{47} +(0.415415 - 0.909632i) q^{48} +(-0.959493 - 0.281733i) q^{49} +(0.810143 + 0.934955i) q^{50} +(4.68318 - 3.00970i) q^{51} +(-2.95756 + 3.41321i) q^{52} +(-0.908115 + 6.31608i) q^{53} +(0.959493 - 0.281733i) q^{54} +(-7.69702 - 4.94658i) q^{55} +(-0.142315 - 0.989821i) q^{56} +(2.26334 + 4.95602i) q^{57} +(3.43420 + 7.51985i) q^{58} +(-1.34016 - 9.32102i) q^{59} +(-2.10097 - 1.35021i) q^{60} +(6.21669 - 1.82538i) q^{61} +(-0.329572 + 2.29223i) q^{62} +(0.654861 - 0.755750i) q^{63} +(0.841254 - 0.540641i) q^{64} +(7.38629 + 8.52423i) q^{65} +(3.51516 + 1.03215i) q^{66} +(0.681805 - 1.49295i) q^{67} +5.56691 q^{68} +(3.35657 + 3.42541i) q^{69} -2.49742 q^{70} +(3.73009 - 8.16775i) q^{71} +(0.959493 + 0.281733i) q^{72} +(-8.04384 - 9.28309i) q^{73} +(-6.71445 + 4.31512i) q^{74} +(-0.810143 + 0.934955i) q^{75} +(-0.775386 + 5.39293i) q^{76} +(3.51516 - 1.03215i) q^{77} +(-3.79938 - 2.44171i) q^{78} +(-1.01228 - 7.04058i) q^{79} +(-1.03747 - 2.27174i) q^{80} +(0.415415 + 0.909632i) q^{81} +(1.52997 + 10.6412i) q^{82} +(3.61141 + 2.32091i) q^{83} +(0.959493 - 0.281733i) q^{84} +(1.97859 - 13.7614i) q^{85} +(-4.84917 + 5.59624i) q^{86} +(-6.95457 + 4.46943i) q^{87} +(2.39912 + 2.76874i) q^{88} +(-9.74193 - 2.86049i) q^{89} +(1.03747 - 2.27174i) q^{90} -4.51633 q^{91} +(0.971812 + 4.69634i) q^{92} -2.31580 q^{93} +(-4.11716 + 9.01533i) q^{94} +(13.0557 + 3.83351i) q^{95} +(0.654861 + 0.755750i) q^{96} +(6.31753 - 4.06003i) q^{97} +(0.654861 - 0.755750i) q^{98} +(-0.521380 + 3.62627i) 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	\( 30 q + 3 q^{2} - 3 q^{3} - 3 q^{4} - 10 q^{5} + 3 q^{6} + 3 q^{7} + 3 q^{8} - 3 q^{9} - 12 q^{10} - 9 q^{11} - 3 q^{12} + 12 q^{13} - 3 q^{14} + q^{15} - 3 q^{16} + 9 q^{17} + 3 q^{18} - 18 q^{19} + q^{20} + 3 q^{21} + 20 q^{22} + q^{23} - 30 q^{24} + 5 q^{25} + 32 q^{26} - 3 q^{27} + 3 q^{28} - 23 q^{29} - 12 q^{30} - q^{31} + 3 q^{32} + 2 q^{33} - 9 q^{34} - q^{35} - 3 q^{36} - q^{37} + 7 q^{38} + 12 q^{39} - q^{40} + 7 q^{41} - 3 q^{42} - 10 q^{43} - 9 q^{44} - 10 q^{45} - q^{46} + 68 q^{47} - 3 q^{48} - 3 q^{49} + 50 q^{50} + 9 q^{51} + q^{52} + 42 q^{53} + 3 q^{54} - 66 q^{55} - 3 q^{56} + 4 q^{57} + q^{58} + 25 q^{59} - 10 q^{60} + 10 q^{61} - 10 q^{62} + 3 q^{63} - 3 q^{64} - 54 q^{65} - 2 q^{66} - 6 q^{67} - 2 q^{68} - 21 q^{69} - 10 q^{70} - 13 q^{71} + 3 q^{72} + 33 q^{73} + q^{74} - 50 q^{75} + 26 q^{76} - 2 q^{77} - 12 q^{78} - 8 q^{79} + q^{80} - 3 q^{81} + 4 q^{82} - 2 q^{83} + 3 q^{84} - 77 q^{85} - 45 q^{86} - q^{87} - 13 q^{88} + 64 q^{89} - q^{90} - 12 q^{91} + 12 q^{92} - 56 q^{93} - 24 q^{94} + 59 q^{95} + 3 q^{96} + 2 q^{97} + 3 q^{98} + 2 q^{99}+O(q^{100}) \) 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 - 12 * q^10 - 9 * q^11 - 3 * q^12 + 12 * q^13 - 3 * q^14 + q^15 - 3 * q^16 + 9 * q^17 + 3 * q^18 - 18 * q^19 + q^20 + 3 * q^21 + 20 * q^22 + q^23 - 30 * q^24 + 5 * q^25 + 32 * q^26 - 3 * q^27 + 3 * q^28 - 23 * q^29 - 12 * q^30 - q^31 + 3 * q^32 + 2 * q^33 - 9 * q^34 - q^35 - 3 * q^36 - q^37 + 7 * q^38 + 12 * q^39 - q^40 + 7 * q^41 - 3 * q^42 - 10 * q^43 - 9 * q^44 - 10 * q^45 - q^46 + 68 * q^47 - 3 * q^48 - 3 * q^49 + 50 * q^50 + 9 * q^51 + q^52 + 42 * q^53 + 3 * q^54 - 66 * q^55 - 3 * q^56 + 4 * q^57 + q^58 + 25 * q^59 - 10 * q^60 + 10 * q^61 - 10 * q^62 + 3 * q^63 - 3 * q^64 - 54 * q^65 - 2 * q^66 - 6 * q^67 - 2 * q^68 - 21 * q^69 - 10 * q^70 - 13 * q^71 + 3 * q^72 + 33 * q^73 + q^74 - 50 * q^75 + 26 * q^76 - 2 * q^77 - 12 * q^78 - 8 * q^79 + q^80 - 3 * q^81 + 4 * q^82 - 2 * q^83 + 3 * q^84 - 77 * q^85 - 45 * q^86 - q^87 - 13 * q^88 + 64 * q^89 - q^90 - 12 * q^91 + 12 * q^92 - 56 * q^93 - 24 * q^94 + 59 * q^95 + 3 * q^96 + 2 * q^97 + 3 * q^98 + 2 * q^99

Introduction

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