LMFDB - Embedded newform 966.2.q.h.169.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

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

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

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

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

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

chi := DirichletCharacter("966.85");

S:= CuspForms(chi, 2);

N := Newforms(S);

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

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$7.71354883526$
Analytic rank:	$0$
Dimension:	$30$
Relative dimension:	$3$ over $\Q(\zeta_{11})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			169.3
Character	$\chi$	$=$	966.169
Dual form			966.2.q.h.463.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.142315 - 0.989821i) q^{2} +(-0.415415 - 0.909632i) q^{3} +(-0.959493 - 0.281733i) q^{4} +(1.52621 + 1.76134i) q^{5} +(-0.959493 + 0.281733i) q^{6} +(0.841254 + 0.540641i) q^{7} +(-0.415415 + 0.909632i) q^{8} +(-0.654861 + 0.755750i) q^{9} +O(q^{10})$	\(q+(0.142315 - 0.989821i) q^{2} +(-0.415415 - 0.909632i) q^{3} +(-0.959493 - 0.281733i) q^{4} +(1.52621 + 1.76134i) q^{5} +(-0.959493 + 0.281733i) q^{6} +(0.841254 + 0.540641i) q^{7} +(-0.415415 + 0.909632i) q^{8} +(-0.654861 + 0.755750i) q^{9} +(1.96061 - 1.26001i) q^{10} +(-0.567396 - 3.94633i) q^{11} +(0.142315 + 0.989821i) q^{12} +(-1.78946 + 1.15002i) q^{13} +(0.654861 - 0.755750i) q^{14} +(0.968158 - 2.11997i) q^{15} +(0.841254 + 0.540641i) q^{16} +(0.646519 - 0.189835i) q^{17} +(0.654861 + 0.755750i) q^{18} +(4.89700 + 1.43789i) q^{19} +(-0.968158 - 2.11997i) q^{20} +(0.142315 - 0.989821i) q^{21} -3.98691 q^{22} +(4.51176 - 1.62606i) q^{23} +1.00000 q^{24} +(-0.0614240 + 0.427213i) q^{25} +(0.883645 + 1.93491i) q^{26} +(0.959493 + 0.281733i) q^{27} +(-0.654861 - 0.755750i) q^{28} +(2.73050 - 0.801749i) q^{29} +(-1.96061 - 1.26001i) q^{30} +(3.12923 - 6.85207i) q^{31} +(0.654861 - 0.755750i) q^{32} +(-3.35400 + 2.15549i) q^{33} +(-0.0958936 - 0.666954i) q^{34} +(0.331676 + 2.30686i) q^{35} +(0.841254 - 0.540641i) q^{36} +(6.44791 - 7.44128i) q^{37} +(2.12017 - 4.64252i) q^{38} +(1.78946 + 1.15002i) q^{39} +(-2.23618 + 0.656600i) q^{40} +(5.38585 + 6.21560i) q^{41} +(-0.959493 - 0.281733i) q^{42} +(1.44176 + 3.15700i) q^{43} +(-0.567396 + 3.94633i) q^{44} -2.33058 q^{45} +(-0.967418 - 4.69724i) q^{46} +1.49515 q^{47} +(0.142315 - 0.989821i) q^{48} +(0.415415 + 0.909632i) q^{49} +(0.414123 + 0.121597i) q^{50} +(-0.441254 - 0.509234i) q^{51} +(2.04097 - 0.599284i) q^{52} +(-5.43373 - 3.49205i) q^{53} +(0.415415 - 0.909632i) q^{54} +(6.08484 - 7.02228i) q^{55} +(-0.841254 + 0.540641i) q^{56} +(-0.726338 - 5.05179i) q^{57} +(-0.404997 - 2.81681i) q^{58} +(5.24920 - 3.37346i) q^{59} +(-1.52621 + 1.76134i) q^{60} +(-4.87158 + 10.6673i) q^{61} +(-6.33699 - 4.07253i) q^{62} +(-0.959493 + 0.281733i) q^{63} +(-0.654861 - 0.755750i) q^{64} +(-4.75666 - 1.39668i) q^{65} +(1.65622 + 3.62662i) q^{66} +(-1.24861 + 8.68428i) q^{67} -0.673813 q^{68} +(-3.35337 - 3.42855i) q^{69} +2.33058 q^{70} +(2.21392 - 15.3981i) q^{71} +(-0.415415 - 0.909632i) q^{72} +(-11.3326 - 3.32756i) q^{73} +(-6.44791 - 7.44128i) q^{74} +(0.414123 - 0.121597i) q^{75} +(-4.29354 - 2.75929i) q^{76} +(1.65622 - 3.62662i) q^{77} +(1.39298 - 1.60758i) q^{78} +(-11.3042 + 7.26475i) q^{79} +(0.331676 + 2.30686i) q^{80} +(-0.142315 - 0.989821i) q^{81} +(6.91882 - 4.44645i) q^{82} +(4.03135 - 4.65243i) q^{83} +(-0.415415 + 0.909632i) q^{84} +(1.32108 + 0.849009i) q^{85} +(3.33005 - 0.977792i) q^{86} +(-1.86359 - 2.15070i) q^{87} +(3.82541 + 1.12324i) q^{88} +(1.30958 + 2.86758i) q^{89} +(-0.331676 + 2.30686i) q^{90} -2.12714 q^{91} +(-4.78711 + 0.289083i) q^{92} -7.53279 q^{93} +(0.212783 - 1.47994i) q^{94} +(4.94123 + 10.8198i) q^{95} +(-0.959493 - 0.281733i) q^{96} +(-10.6401 - 12.2793i) q^{97} +(0.959493 - 0.281733i) q^{98} +(3.35400 + 2.15549i) 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	\( 30 q + 3 q^{2} + 3 q^{3} - 3 q^{4} + 10 q^{5} - 3 q^{6} - 3 q^{7} + 3 q^{8} - 3 q^{9} + 12 q^{10} + 9 q^{11} + 3 q^{12} - 12 q^{13} + 3 q^{14} + q^{15} - 3 q^{16} + 13 q^{17} + 3 q^{18} - 18 q^{19} - q^{20} + 3 q^{21} + 24 q^{22} + 21 q^{23} + 30 q^{24} - 3 q^{25} + 34 q^{26} + 3 q^{27} - 3 q^{28} - 11 q^{29} - 12 q^{30} + 7 q^{31} + 3 q^{32} + 2 q^{33} - 13 q^{34} - q^{35} - 3 q^{36} + 3 q^{37} - 15 q^{38} + 12 q^{39} + q^{40} + 15 q^{41} - 3 q^{42} + 42 q^{43} + 9 q^{44} + 10 q^{45} + q^{46} + 12 q^{47} + 3 q^{48} - 3 q^{49} - 30 q^{50} + 9 q^{51} - q^{52} - 28 q^{53} - 3 q^{54} + 4 q^{55} + 3 q^{56} - 4 q^{57} - 11 q^{58} + 3 q^{59} - 10 q^{60} - 2 q^{61} + 26 q^{62} - 3 q^{63} - 3 q^{64} - 70 q^{65} - 2 q^{66} + 24 q^{67} + 2 q^{68} + q^{69} - 10 q^{70} - 3 q^{71} + 3 q^{72} - 7 q^{73} - 3 q^{74} - 30 q^{75} - 18 q^{76} - 2 q^{77} + 10 q^{78} - 32 q^{79} - q^{80} - 3 q^{81} - 26 q^{82} + 8 q^{83} + 3 q^{84} - 39 q^{85} + 35 q^{86} - 11 q^{87} + 13 q^{88} + 50 q^{89} + q^{90} + 32 q^{91} - 12 q^{92} + 4 q^{93} + 10 q^{94} + 73 q^{95} - 3 q^{96} + 24 q^{97} + 3 q^{98} - 2 q^{99}+O(q^{100}) \) 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 + 13 * q^17 + 3 * q^18 - 18 * q^19 - q^20 + 3 * q^21 + 24 * q^22 + 21 * q^23 + 30 * q^24 - 3 * q^25 + 34 * q^26 + 3 * q^27 - 3 * q^28 - 11 * q^29 - 12 * q^30 + 7 * q^31 + 3 * q^32 + 2 * q^33 - 13 * q^34 - q^35 - 3 * q^36 + 3 * q^37 - 15 * q^38 + 12 * q^39 + q^40 + 15 * q^41 - 3 * q^42 + 42 * q^43 + 9 * q^44 + 10 * q^45 + q^46 + 12 * q^47 + 3 * q^48 - 3 * q^49 - 30 * q^50 + 9 * q^51 - q^52 - 28 * q^53 - 3 * q^54 + 4 * q^55 + 3 * q^56 - 4 * q^57 - 11 * q^58 + 3 * q^59 - 10 * q^60 - 2 * q^61 + 26 * q^62 - 3 * q^63 - 3 * q^64 - 70 * q^65 - 2 * q^66 + 24 * q^67 + 2 * q^68 + q^69 - 10 * q^70 - 3 * q^71 + 3 * q^72 - 7 * q^73 - 3 * q^74 - 30 * q^75 - 18 * q^76 - 2 * q^77 + 10 * q^78 - 32 * q^79 - q^80 - 3 * q^81 - 26 * q^82 + 8 * q^83 + 3 * q^84 - 39 * q^85 + 35 * q^86 - 11 * q^87 + 13 * q^88 + 50 * q^89 + q^90 + 32 * q^91 - 12 * q^92 + 4 * q^93 + 10 * q^94 + 73 * q^95 - 3 * q^96 + 24 * q^97 + 3 * q^98 - 2 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$323$	$829$	$925$
$\chi(n)$	$1$	$1$	$e\left(\frac{3}{11}\right)$

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 $

$2$	0.142315	−	0.989821i	0.100632	−	0.699909i
$2$	0.142315	−	0.989821i	0.100632	−	0.699909i
$3$	−0.415415	−	0.909632i	−0.239840	−	0.525176i
$3$	−0.415415	−	0.909632i	−0.239840	−	0.525176i
$4$	−0.959493	−	0.281733i	−0.479746	−	0.140866i
$5$	1.52621	+	1.76134i	0.682540	+	0.787693i	0.986283	−	0.165061i	$-0.0527820\pi$
$5$	1.52621	+	1.76134i	0.682540	+	0.787693i	−0.303743	+	0.952754i	$0.598237\pi$
$6$	−0.959493	+	0.281733i	−0.391711	+	0.115017i
$7$	0.841254	+	0.540641i	0.317964	+	0.204343i
$7$	0.841254	+	0.540641i	0.317964	+	0.204343i
$8$	−0.415415	+	0.909632i	−0.146871	+	0.321603i
$9$	−0.654861	+	0.755750i	−0.218287	+	0.251917i
$10$	1.96061	−	1.26001i	0.619999	−	0.398449i
$11$	−0.567396	−	3.94633i	−0.171076	−	1.18986i	−0.876615	−	0.481192i	$-0.840204\pi$
$11$	−0.567396	−	3.94633i	−0.171076	−	1.18986i	0.705539	−	0.708671i	$-0.250705\pi$
$12$	0.142315	+	0.989821i	0.0410828	+	0.285737i
$13$	−1.78946	+	1.15002i	−0.496308	+	0.318958i	−0.764738	−	0.644342i	$-0.777132\pi$
$13$	−1.78946	+	1.15002i	−0.496308	+	0.318958i	0.268430	+	0.963299i	$0.413495\pi$
$14$	0.654861	−	0.755750i	0.175019	−	0.201983i
$15$	0.968158	−	2.11997i	0.249977	−	0.547374i
$16$	0.841254	+	0.540641i	0.210313	+	0.135160i
$17$	0.646519	−	0.189835i	0.156804	−	0.0460417i	−0.202389	−	0.979305i	$-0.564870\pi$
$17$	0.646519	−	0.189835i	0.156804	−	0.0460417i	0.359192	+	0.933264i	$0.383052\pi$
$18$	0.654861	+	0.755750i	0.154352	+	0.178132i
$19$	4.89700	+	1.43789i	1.12345	+	0.329874i	0.790130	−	0.612940i	$-0.210013\pi$
$19$	4.89700	+	1.43789i	1.12345	+	0.329874i	0.333319	+	0.942814i	$0.391831\pi$
$20$	−0.968158	−	2.11997i	−0.216487	−	0.474040i
$21$	0.142315	−	0.989821i	0.0310556	−	0.215997i
$22$	−3.98691			−0.850012
$23$	4.51176	−	1.62606i	0.940766	−	0.339057i
$23$	4.51176	−	1.62606i	0.940766	−	0.339057i
$24$	1.00000			0.204124
$25$	−0.0614240	+	0.427213i	−0.0122848	+	0.0854426i
$26$	0.883645	+	1.93491i	0.173297	+	0.379468i
$27$	0.959493	+	0.281733i	0.184655	+	0.0542195i
$28$	−0.654861	−	0.755750i	−0.123757	−	0.142823i
$29$	2.73050	−	0.801749i	0.507042	−	0.148881i	−0.0181992	−	0.999834i	$-0.505793\pi$
$29$	2.73050	−	0.801749i	0.507042	−	0.148881i	0.525241	+	0.850953i	$0.323975\pi$
$30$	−1.96061	−	1.26001i	−0.357957	−	0.230045i
$31$	3.12923	−	6.85207i	0.562027	−	1.23067i	−0.388908	−	0.921277i	$-0.627148\pi$
$31$	3.12923	−	6.85207i	0.562027	−	1.23067i	0.950935	−	0.309391i	$-0.100125\pi$
$32$	0.654861	−	0.755750i	0.115764	−	0.133599i
$33$	−3.35400	+	2.15549i	−0.583857	+	0.375222i
$34$	−0.0958936	−	0.666954i	−0.0164456	−	0.114382i
$35$	0.331676	+	2.30686i	0.0560635	+	0.389930i
$36$	0.841254	−	0.540641i	0.140209	−	0.0901068i
$37$	6.44791	−	7.44128i	1.06003	−	1.22334i	0.0861484	−	0.996282i	$-0.472544\pi$
$37$	6.44791	−	7.44128i	1.06003	−	1.22334i	0.973881	−	0.227057i	$-0.0729105\pi$
$38$	2.12017	−	4.64252i	0.343937	−	0.753117i
$39$	1.78946	+	1.15002i	0.286543	+	0.184150i
$40$	−2.23618	+	0.656600i	−0.353570	+	0.103818i
$41$	5.38585	+	6.21560i	0.841128	+	0.970713i	0.999862	−	0.0166081i	$-0.00528676\pi$
$41$	5.38585	+	6.21560i	0.841128	+	0.970713i	−0.158734	+	0.987321i	$0.550741\pi$
$42$	−0.959493	−	0.281733i	−0.148053	−	0.0434723i
$43$	1.44176	+	3.15700i	0.219866	+	0.481439i	0.987136	−	0.159886i	$-0.0511126\pi$
$43$	1.44176	+	3.15700i	0.219866	+	0.481439i	−0.767270	+	0.641324i	$0.778385\pi$
$44$	−0.567396	+	3.94633i	−0.0855382	+	0.594931i
$45$	−2.33058			−0.347422
$46$	−0.967418	−	4.69724i	−0.142638	−	0.692571i
$47$	1.49515			0.218091			0.109045	−	0.994037i	$-0.465221\pi$
$47$	1.49515			0.218091			0.109045	+	0.994037i	$0.465221\pi$
$48$	0.142315	−	0.989821i	0.0205414	−	0.142868i
$49$	0.415415	+	0.909632i	0.0593450	+	0.129947i
$50$	0.414123	+	0.121597i	0.0585658	+	0.0171965i
$51$	−0.441254	−	0.509234i	−0.0617879	−	0.0713070i
$52$	2.04097	−	0.599284i	0.283032	−	0.0831058i
$53$	−5.43373	−	3.49205i	−0.746380	−	0.479669i	0.111342	−	0.993782i	$-0.464485\pi$
$53$	−5.43373	−	3.49205i	−0.746380	−	0.479669i	−0.857723	+	0.514113i	$0.828121\pi$
$54$	0.415415	−	0.909632i	0.0565308	−	0.123785i
$55$	6.08484	−	7.02228i	0.820480	−	0.946884i
$56$	−0.841254	+	0.540641i	−0.112417	+	0.0722462i
$57$	−0.726338	−	5.05179i	−0.0962058	−	0.669126i
$58$	−0.404997	−	2.81681i	−0.0531787	−	0.369866i
$59$	5.24920	−	3.37346i	0.683388	−	0.439187i	−0.152342	−	0.988328i	$-0.548681\pi$
$59$	5.24920	−	3.37346i	0.683388	−	0.439187i	0.835730	+	0.549141i	$0.185045\pi$
$60$	−1.52621	+	1.76134i	−0.197032	+	0.227387i
$61$	−4.87158	+	10.6673i	−0.623742	+	1.36580i	0.289025	+	0.957322i	$0.406669\pi$
$61$	−4.87158	+	10.6673i	−0.623742	+	1.36580i	−0.912766	+	0.408482i	$0.866058\pi$
$62$	−6.33699	−	4.07253i	−0.804798	−	0.517212i
$63$	−0.959493	+	0.281733i	−0.120885	+	0.0354950i
$64$	−0.654861	−	0.755750i	−0.0818576	−	0.0944687i
$65$	−4.75666	−	1.39668i	−0.589991	−	0.173237i
$66$	1.65622	+	3.62662i	0.203867	+	0.446406i
$67$	−1.24861	+	8.68428i	−0.152542	+	1.06095i	0.759397	+	0.650628i	$0.225494\pi$
$67$	−1.24861	+	8.68428i	−0.152542	+	1.06095i	−0.911939	+	0.410326i	$0.865415\pi$
$68$	−0.673813			−0.0817118
$69$	−3.35337	−	3.42855i	−0.403698	−	0.412749i
$70$	2.33058			0.278558
$71$	2.21392	−	15.3981i	0.262744	−	1.82742i	−0.249256	−	0.968438i	$-0.580186\pi$
$71$	2.21392	−	15.3981i	0.262744	−	1.82742i	0.512000	−	0.858986i	$-0.328905\pi$
$72$	−0.415415	−	0.909632i	−0.0489571	−	0.107201i
$73$	−11.3326	−	3.32756i	−1.32638	−	0.389461i	−0.459591	−	0.888131i	$-0.652004\pi$
$73$	−11.3326	−	3.32756i	−1.32638	−	0.389461i	−0.866792	+	0.498669i	$0.833822\pi$
$74$	−6.44791	−	7.44128i	−0.749554	−	0.865032i
$75$	0.414123	−	0.121597i	0.0478188	−	0.0140409i
$76$	−4.29354	−	2.75929i	−0.492502	−	0.316512i
$77$	1.65622	−	3.62662i	0.188744	−	0.413292i
$78$	1.39298	−	1.60758i	0.157724	−	0.182023i
$79$	−11.3042	+	7.26475i	−1.27182	+	0.817348i	−0.989856	−	0.142077i	$-0.954622\pi$
$79$	−11.3042	+	7.26475i	−1.27182	+	0.817348i	−0.281963	+	0.959425i	$0.590986\pi$
$80$	0.331676	+	2.30686i	0.0370825	+	0.257915i
$81$	−0.142315	−	0.989821i	−0.0158128	−	0.109980i
$82$	6.91882	−	4.44645i	0.764056	−	0.491029i
$83$	4.03135	−	4.65243i	0.442499	−	0.510670i	−0.490060	−	0.871689i	$-0.663025\pi$
$83$	4.03135	−	4.65243i	0.442499	−	0.510670i	0.932559	+	0.361018i	$0.117571\pi$
$84$	−0.415415	+	0.909632i	−0.0453255	+	0.0992490i
$85$	1.32108	+	0.849009i	0.143292	+	0.0920879i
$86$	3.33005	−	0.977792i	0.359089	−	0.105438i
$87$	−1.86359	−	2.15070i	−0.199798	−	0.230579i
$88$	3.82541	+	1.12324i	0.407790	+	0.119738i
$89$	1.30958	+	2.86758i	0.138815	+	0.303963i	0.966253	−	0.257594i	$-0.0829298\pi$
$89$	1.30958	+	2.86758i	0.138815	+	0.303963i	−0.827438	+	0.561557i	$0.810202\pi$
$90$	−0.331676	+	2.30686i	−0.0349617	+	0.243164i
$91$	−2.12714			−0.222985
$92$	−4.78711	+	0.289083i	−0.499091	+	0.0301390i
$93$	−7.53279			−0.781114
$94$	0.212783	−	1.47994i	0.0219468	−	0.152644i
$95$	4.94123	+	10.8198i	0.506959	+	1.11009i
$96$	−0.959493	−	0.281733i	−0.0979278	−	0.0287542i
$97$	−10.6401	−	12.2793i	−1.08033	−	1.24677i	−0.967423	−	0.253166i	$-0.918528\pi$
$97$	−10.6401	−	12.2793i	−1.08033	−	1.24677i	−0.112911	−	0.993605i	$-0.536017\pi$
$98$	0.959493	−	0.281733i	0.0969234	−	0.0284593i
$99$	3.35400	+	2.15549i	0.337090	+	0.216634i
$100$	0.179296	−	0.392603i	0.0179296	−	0.0392603i
$101$	1.72605	−	1.99197i	0.171749	−	0.198209i	−0.663349	−	0.748310i	$-0.730866\pi$
$101$	1.72605	−	1.99197i	0.171749	−	0.198209i	0.835098	+	0.550102i	$0.185411\pi$
$102$	−0.566847	+	0.364291i	−0.0561263	+	0.0360702i
$103$	2.43390	+	16.9282i	0.239820	+	1.66798i	0.653019	+	0.757342i	$0.273502\pi$
$103$	2.43390	+	16.9282i	0.239820	+	1.66798i	−0.413199	+	0.910641i	$0.635589\pi$
$104$	−0.302723	−	2.10549i	−0.0296845	−	0.206460i
$105$	1.96061	−	1.26001i	0.191336	−	0.122964i
$106$	−4.22980	+	4.88145i	−0.410835	+	0.474129i
$107$	0.534285	−	1.16992i	0.0516513	−	0.113101i	−0.882047	−	0.471162i	$-0.843835\pi$
$107$	0.534285	−	1.16992i	0.0516513	−	0.113101i	0.933698	+	0.358061i	$0.116562\pi$
$108$	−0.841254	−	0.540641i	−0.0809497	−	0.0520232i
$109$	−14.0262	+	4.11845i	−1.34346	+	0.394476i	−0.872904	−	0.487892i	$-0.837766\pi$
$109$	−14.0262	+	4.11845i	−1.34346	+	0.394476i	−0.470559	+	0.882368i	$0.655948\pi$
$110$	−6.08484	−	7.02228i	−0.580167	−	0.669548i
$111$	−9.44739	−	2.77400i	−0.896706	−	0.263297i
$112$	0.415415	+	0.909632i	0.0392530	+	0.0859521i
$113$	0.244256	−	1.69884i	0.0229777	−	0.159813i	−0.975102	−	0.221757i	$-0.928821\pi$
$113$	0.244256	−	1.69884i	0.0229777	−	0.159813i	0.998080	+	0.0619438i	$0.0197299\pi$
$114$	−5.10374			−0.478009
$115$	9.74990	+	5.46501i	0.909183	+	0.509615i
$116$	−2.84578			−0.264224
$117$	0.302723	−	2.10549i	0.0279868	−	0.194652i
$118$	−2.59208	−	5.67586i	−0.238620	−	0.522506i
$119$	0.646519	+	0.189835i	0.0592663	+	0.0174021i
$120$	1.52621	+	1.76134i	0.139323	+	0.160787i
$121$	−4.69714	+	1.37921i	−0.427013	+	0.125382i
$122$	9.86539	+	6.34010i	0.893171	+	0.574006i
$123$	3.41655	−	7.48119i	0.308060	−	0.674556i
$124$	−4.93293	+	5.69290i	−0.442990	+	0.511238i
$125$	8.95684	−	5.75621i	0.801124	−	0.514851i
$126$	0.142315	+	0.989821i	0.0126784	+	0.0881803i
$127$	2.44558	+	17.0094i	0.217010	+	1.50934i	0.748990	+	0.662581i	$0.230539\pi$
$127$	2.44558	+	17.0094i	0.217010	+	1.50934i	−0.531980	+	0.846757i	$0.678552\pi$
$128$	−0.841254	+	0.540641i	−0.0743570	+	0.0477863i
$129$	2.27278	−	2.62293i	0.200108	−	0.230936i
$130$	−2.05941	+	4.50947i	−0.180622	+	0.395507i
$131$	−1.79735	−	1.15509i	−0.157035	−	0.100921i	0.459763	−	0.888042i	$-0.347934\pi$
$131$	−1.79735	−	1.15509i	−0.157035	−	0.100921i	−0.616799	+	0.787121i	$0.711571\pi$
$132$	3.82541	−	1.12324i	0.332959	−	0.0977657i
$133$	3.34224	+	3.85715i	0.289809	+	0.334457i
$134$	8.41819	+	2.47180i	0.727221	+	0.213531i
$135$	0.968158	+	2.11997i	0.0833258	+	0.182458i
$136$	−0.0958936	+	0.666954i	−0.00822280	+	0.0571909i
$137$	12.4931			1.06736			0.533679	−	0.845687i	$-0.320809\pi$
$137$	12.4931			1.06736			0.533679	+	0.845687i	$0.320809\pi$
$138$	−3.87088	+	2.83130i	−0.329512	+	0.241016i
$139$	19.6978			1.67074			0.835371	−	0.549687i	$-0.185253\pi$
$139$	19.6978			1.67074			0.835371	+	0.549687i	$0.185253\pi$
$140$	0.331676	−	2.30686i	0.0280318	−	0.194965i
$141$	−0.621109	−	1.36004i	−0.0523068	−	0.114536i
$142$	−14.9263	−	4.38277i	−1.25259	−	0.367794i
$143$	5.55368	+	6.40929i	0.464422	+	0.535972i
$144$	−0.959493	+	0.281733i	−0.0799577	+	0.0234777i
$145$	5.57946	+	3.58570i	0.463349	+	0.297776i
$146$	−4.90649	+	10.7437i	−0.406064	+	0.889156i
$147$	0.654861	−	0.755750i	0.0540120	−	0.0623332i
$148$	−8.28318	+	5.32327i	−0.680873	+	0.437570i
$149$	0.623442	+	4.33614i	0.0510744	+	0.355230i	0.999292	+	0.0376102i	$0.0119745\pi$
$149$	0.623442	+	4.33614i	0.0510744	+	0.355230i	−0.948218	+	0.317620i	$0.897116\pi$
$150$	−0.0614240	−	0.427213i	−0.00501524	−	0.0348818i
$151$	−6.52392	+	4.19267i	−0.530909	+	0.341195i	−0.778474	−	0.627677i	$-0.784006\pi$
$151$	−6.52392	+	4.19267i	−0.530909	+	0.341195i	0.247565	+	0.968871i	$0.420370\pi$
$152$	−3.34224	+	3.85715i	−0.271091	+	0.312856i
$153$	−0.279912	+	0.612922i	−0.0226295	+	0.0495518i
$154$	−3.35400	−	2.15549i	−0.270273	−	0.173694i
$155$	16.8446	−	4.94603i	1.35299	−	0.397275i
$156$	−1.39298	−	1.60758i	−0.111528	−	0.128710i
$157$	−5.07580	−	1.49039i	−0.405093	−	0.118946i	0.0728374	−	0.997344i	$-0.476795\pi$
$157$	−5.07580	−	1.49039i	−0.405093	−	0.118946i	−0.477930	+	0.878398i	$0.658613\pi$
$158$	5.58206	+	12.2230i	0.444085	+	0.972409i
$159$	−0.919224	+	6.39334i	−0.0728992	+	0.507025i
$160$	2.33058			0.184249
$161$	4.67464	+	1.07131i	0.368414	+	0.0844312i
$162$	−1.00000			−0.0785674
$163$	0.810384	−	5.63634i	0.0634741	−	0.441472i	−0.933158	−	0.359467i	$-0.882958\pi$
$163$	0.810384	−	5.63634i	0.0634741	−	0.441472i	0.996632	−	0.0820052i	$-0.0261324\pi$
$164$	−3.41655	−	7.48119i	−0.266787	−	0.584183i
$165$	−8.91543	−	2.61781i	−0.694065	−	0.203796i
$166$	−4.03135	−	4.65243i	−0.312894	−	0.361099i
$167$	−7.93491	+	2.32990i	−0.614022	+	0.180293i	−0.573932	−	0.818903i	$-0.694583\pi$
$167$	−7.93491	+	2.32990i	−0.614022	+	0.180293i	−0.0400898	+	0.999196i	$0.512764\pi$
$168$	0.841254	+	0.540641i	0.0649041	+	0.0417113i
$169$	−3.52076	+	7.70939i	−0.270828	+	0.593030i
$170$	1.02838	−	1.18681i	0.0788729	−	0.0910242i
$171$	−4.29354	+	2.75929i	−0.328335	+	0.211008i
$172$	−0.493923	−	3.43531i	−0.0376613	−	0.261940i
$173$	−0.727766	−	5.06172i	−0.0553310	−	0.384836i	−0.998604	−	0.0528180i	$-0.983180\pi$
$173$	−0.727766	−	5.06172i	−0.0553310	−	0.384836i	0.943273	−	0.332018i	$-0.107729\pi$
$174$	−2.39402	+	1.53854i	−0.181490	+	0.116637i
$175$	−0.282642	+	0.326186i	−0.0213657	+	0.0246574i
$176$	1.65622	−	3.62662i	0.124842	−	0.273367i
$177$	−5.24920	−	3.37346i	−0.394554	−	0.253565i
$178$	3.02477	−	0.888151i	0.226716	−	0.0665697i
$179$	9.78512	+	11.2926i	0.731374	+	0.844051i	0.992626	−	0.121220i	$-0.0386807\pi$
$179$	9.78512	+	11.2926i	0.731374	+	0.844051i	−0.261252	+	0.965271i	$0.584135\pi$
$180$	2.23618	+	0.656600i	0.166675	+	0.0489401i
$181$	6.26632	+	13.7213i	0.465772	+	1.01990i	0.986134	+	0.165953i	$0.0530699\pi$
$181$	6.26632	+	13.7213i	0.465772	+	1.01990i	−0.520362	+	0.853946i	$0.674203\pi$
$182$	−0.302723	+	2.10549i	−0.0224394	+	0.156069i
$183$	11.7270			0.866886
$184$	−0.395136	+	4.77953i	−0.0291298	+	0.352351i
$185$	22.9474			1.68713
$186$	−1.07203	+	7.45612i	−0.0786049	+	0.546709i
$187$	−1.11598	−	2.44366i	−0.0816088	−	0.178698i
$188$	−1.43459	−	0.421234i	−0.104628	−	0.0307216i
$189$	0.654861	+	0.755750i	0.0476341	+	0.0549727i
$190$	11.4129	−	3.35112i	0.827975	−	0.243116i
$191$	−15.4297	−	9.91607i	−1.11645	−	0.717502i	−0.153764	−	0.988108i	$-0.549140\pi$
$191$	−15.4297	−	9.91607i	−1.11645	−	0.717502i	−0.962690	+	0.270606i	$0.912776\pi$
$192$	−0.415415	+	0.909632i	−0.0299800	+	0.0656470i
$193$	−1.54059	+	1.77793i	−0.110894	+	0.127978i	−0.808483	−	0.588520i	$-0.799711\pi$
$193$	−1.54059	+	1.77793i	−0.110894	+	0.127978i	0.697589	+	0.716498i	$0.254256\pi$
$194$	−13.6685	+	8.78423i	−0.981343	+	0.630671i
$195$	0.705521	+	4.90701i	0.0505234	+	0.351398i
$196$	−0.142315	−	0.989821i	−0.0101653	−	0.0707015i
$197$	−13.9319	+	8.95347i	−0.992605	+	0.637908i	−0.932835	−	0.360304i	$-0.882673\pi$
$197$	−13.9319	+	8.95347i	−0.992605	+	0.637908i	−0.0597698	+	0.998212i	$0.519037\pi$
$198$	2.61087	−	3.01310i	0.185546	−	0.214132i
$199$	1.57869	−	3.45684i	0.111910	−	0.245049i	−0.845387	−	0.534154i	$-0.820630\pi$
$199$	1.57869	−	3.45684i	0.111910	−	0.245049i	0.957297	+	0.289105i	$0.0933576\pi$
$200$	−0.363090	−	0.233344i	−0.0256744	−	0.0164999i
$201$	8.41819	−	2.47180i	0.593773	−	0.174348i
$202$	−1.72605	−	1.99197i	−0.121445	−	0.140155i
$203$	2.73050	+	0.801749i	0.191644	+	0.0562717i
$204$	0.279912	+	0.612922i	0.0195978	+	0.0429131i
$205$	−2.72784	+	18.9726i	−0.190521	+	1.32510i
$206$	17.1023			1.19157
$207$	−1.72568	+	4.47460i	−0.119943	+	0.311006i
$208$	−2.12714			−0.147491
$209$	2.89584	−	20.1410i	0.200310	−	1.39318i
$210$	−0.968158	−	2.11997i	−0.0668093	−	0.146292i
$211$	−23.9528	−	7.03318i	−1.64898	−	0.484184i	−0.680391	−	0.732849i	$-0.738190\pi$
$211$	−23.9528	−	7.03318i	−1.64898	−	0.484184i	−0.968590	+	0.248665i	$0.920008\pi$
$212$	4.22980	+	4.88145i	0.290504	+	0.335260i
$213$	−14.9263	+	4.38277i	−1.02274	+	0.300302i
$214$	−1.08198	−	0.695344i	−0.0739624	−	0.0475328i
$215$	−3.36013	+	7.35765i	−0.229159	+	0.501788i
$216$	−0.654861	+	0.755750i	−0.0445576	+	0.0514222i
$217$	6.33699	−	4.07253i	0.430183	−	0.276462i
$218$	2.08040	+	14.4695i	0.140903	+	0.979999i
$219$	1.68089	+	11.6908i	0.113584	+	0.789993i
$220$	−7.81677	+	5.02353i	−0.527007	+	0.338687i
$221$	−0.938607	+	1.08321i	−0.0631376	+	0.0728646i
$222$	−4.09027	+	8.95645i	−0.274521	+	0.601117i
$223$	8.34908	+	5.36563i	0.559096	+	0.359309i	0.789466	−	0.613794i	$-0.210357\pi$
$223$	8.34908	+	5.36563i	0.559096	+	0.359309i	−0.230371	+	0.973103i	$0.573994\pi$
$224$	0.959493	−	0.281733i	0.0641088	−	0.0188240i
$225$	−0.282642	−	0.326186i	−0.0188428	−	0.0217457i
$226$	−1.64678	−	0.483539i	−0.109542	−	0.0321646i
$227$	5.37036	+	11.7594i	0.356443	+	0.780502i	0.999887	+	0.0150087i	$0.00477759\pi$
$227$	5.37036	+	11.7594i	0.356443	+	0.780502i	−0.643444	+	0.765493i	$0.722495\pi$
$228$	−0.726338	+	5.05179i	−0.0481029	+	0.334563i
$229$	10.2134			0.674918			0.337459	−	0.941340i	$-0.390433\pi$
$229$	10.2134			0.674918			0.337459	+	0.941340i	$0.390433\pi$
$230$	6.79694	−	8.87291i	0.448177	−	0.585062i
$231$	−3.98691			−0.262319
$232$	−0.404997	+	2.81681i	−0.0265893	+	0.184933i
$233$	5.57714	+	12.2122i	0.365370	+	0.800050i	0.999637	+	0.0269354i	$0.00857484\pi$
$233$	5.57714	+	12.2122i	0.365370	+	0.800050i	−0.634267	+	0.773114i	$0.718698\pi$
$234$	−2.04097	−	0.599284i	−0.133423	−	0.0391764i
$235$	2.28191	+	2.63347i	0.148856	+	0.171788i
$236$	−5.98698	+	1.75794i	−0.389719	+	0.114432i
$237$	11.3042	+	7.26475i	0.734285	+	0.471896i
$238$	0.279912	−	0.612922i	0.0181440	−	0.0397298i
$239$	12.1763	−	14.0522i	0.787619	−	0.908961i	−0.210015	−	0.977698i	$-0.567351\pi$
$239$	12.1763	−	14.0522i	0.787619	−	0.908961i	0.997635	+	0.0687369i	$0.0218969\pi$
$240$	1.96061	−	1.26001i	0.126557	−	0.0813331i
$241$	−1.18626	−	8.25060i	−0.0764135	−	0.531468i	−0.991691	−	0.128644i	$-0.958938\pi$
$241$	−1.18626	−	8.25060i	−0.0764135	−	0.531468i	0.915277	−	0.402824i	$-0.131971\pi$
$242$	0.696694	+	4.84561i	0.0447852	+	0.311488i
$243$	−0.841254	+	0.540641i	−0.0539664	+	0.0346821i
$244$	7.67956	−	8.86269i	0.491634	−	0.567375i
$245$	−0.968158	+	2.11997i	−0.0618534	+	0.135440i
$246$	−6.91882	−	4.44645i	−0.441128	−	0.283496i
$247$	−10.4166	+	3.05859i	−0.662792	+	0.194613i
$248$	4.93293	+	5.69290i	0.313241	+	0.361500i
$249$	−5.90668	−	1.73436i	−0.374321	−	0.109911i
$250$	−4.42293	−	9.68486i	−0.279731	−	0.612524i
$251$	0.574761	−	3.99755i	0.0362786	−	0.252323i	−0.963609	−	0.267316i	$-0.913863\pi$
$251$	0.574761	−	3.99755i	0.0362786	−	0.252323i	0.999888	+	0.0149925i	$0.00477245\pi$
$252$	1.00000			0.0629941
$253$	−8.97691	−	16.8822i	−0.564374	−	1.06138i
$254$	17.1843			1.07824
$255$	0.223488	−	1.55439i	0.0139953	−	0.0973397i
$256$	0.415415	+	0.909632i	0.0259634	+	0.0568520i
$257$	−5.44033	−	1.59743i	−0.339359	−	0.0996447i	0.107613	−	0.994193i	$-0.465679\pi$
$257$	−5.44033	−	1.59743i	−0.339359	−	0.0996447i	−0.446972	+	0.894548i	$0.647497\pi$
$258$	−2.27278	−	2.62293i	−0.141497	−	0.163297i
$259$	9.44739	−	2.77400i	0.587032	−	0.172368i
$260$	4.17049	+	2.68021i	0.258643	+	0.166220i
$261$	−1.18218	+	2.58861i	−0.0731751	+	0.160231i
$262$	−1.39912	+	1.61467i	−0.0864380	+	0.0997548i
$263$	−15.7536	+	10.1242i	−0.971411	+	0.624288i	−0.927133	−	0.374731i	$-0.877735\pi$
$263$	−15.7536	+	10.1242i	−0.971411	+	0.624288i	−0.0442776	+	0.999019i	$0.514099\pi$
$264$	−0.567396	−	3.94633i	−0.0349208	−	0.242880i
$265$	−2.14233	−	14.9002i	−0.131602	−	0.915312i
$266$	4.29354	−	2.75929i	0.263254	−	0.169183i
$267$	2.06442	−	2.38247i	0.126341	−	0.145805i
$268$	3.64468	−	7.98073i	0.222634	−	0.487501i
$269$	10.8132	+	6.94924i	0.659294	+	0.423702i	0.827052	−	0.562126i	$-0.190016\pi$
$269$	10.8132	+	6.94924i	0.659294	+	0.423702i	−0.167758	+	0.985828i	$0.553653\pi$
$270$	2.23618	−	0.656600i	0.136089	−	0.0399594i
$271$	5.99621	+	6.92000i	0.364244	+	0.420360i	0.908057	−	0.418846i	$-0.137565\pi$
$271$	5.99621	+	6.92000i	0.364244	+	0.420360i	−0.543813	+	0.839206i	$0.683020\pi$
$272$	0.646519	+	0.189835i	0.0392009	+	0.0115104i
$273$	0.883645	+	1.93491i	0.0534806	+	0.117106i
$274$	1.77795	−	12.3659i	0.107410	−	0.747054i
$275$	1.72077			0.103767
$276$	2.25160	+	4.23442i	0.135530	+	0.254882i
$277$	−25.0252			−1.50362			−0.751808	−	0.659382i	$-0.770818\pi$
$277$	−25.0252			−1.50362			−0.751808	+	0.659382i	$0.770818\pi$
$278$	2.80328	−	19.4973i	0.168130	−	1.16937i
$279$	3.12923	+	6.85207i	0.187342	+	0.410223i
$280$	−2.23618	−	0.656600i	−0.133637	−	0.0392394i
$281$	−15.9312	−	18.3855i	−0.950373	−	1.09679i	−0.995207	−	0.0977942i	$-0.968821\pi$
$281$	−15.9312	−	18.3855i	−0.950373	−	1.09679i	0.0448339	−	0.998994i	$-0.485724\pi$
$282$	−1.43459	+	0.421234i	−0.0854286	+	0.0250841i
$283$	4.80270	+	3.08650i	0.285491	+	0.183474i	0.675546	−	0.737318i	$-0.263908\pi$
$283$	4.80270	+	3.08650i	0.285491	+	0.183474i	−0.390056	+	0.920791i	$0.627544\pi$
$284$	−6.46240	+	14.1507i	−0.383473	+	0.839688i
$285$	7.78935	−	8.98939i	0.461401	−	0.532486i
$286$	7.13442	−	4.58502i	0.421867	−	0.271118i
$287$	1.17046	+	8.14070i	0.0690898	+	0.480530i
$288$	0.142315	+	0.989821i	0.00838598	+	0.0583258i
$289$	−13.9194	+	8.94543i	−0.818786	+	0.526202i
$290$	4.34324	−	5.01237i	0.255044	−	0.294337i
$291$	−6.74958	+	14.7795i	−0.395668	+	0.866391i
$292$	9.93609	+	6.38554i	0.581466	+	0.373685i
$293$	−8.55461	+	2.51186i	−0.499765	+	0.146744i	−0.521893	−	0.853011i	$-0.674774\pi$
$293$	−8.55461	+	2.51186i	−0.499765	+	0.146744i	0.0221279	+	0.999755i	$0.492956\pi$
$294$	−0.654861	−	0.755750i	−0.0381923	−	0.0440762i
$295$	13.9531	+	4.09701i	0.812384	+	0.238537i
$296$	4.09027	+	8.95645i	0.237742	+	0.520583i
$297$	0.567396	−	3.94633i	0.0329237	−	0.228989i
$298$	4.38073			0.253769
$299$	−6.20362	+	8.09837i	−0.358765	+	0.468341i
$300$	−0.431606			−0.0249188
$301$	−0.493923	+	3.43531i	−0.0284693	+	0.198008i
$302$	3.22154	+	7.05420i	0.185379	+	0.405923i
$303$	−2.52899	−	0.742578i	−0.145287	−	0.0426600i
$304$	3.34224	+	3.85715i	0.191690	+	0.221223i
$305$	−26.2237	+	7.69996i	−1.50156	+	0.440899i
$306$	0.566847	+	0.364291i	0.0324045	+	0.0208251i
$307$	10.2659	−	22.4792i	0.585905	−	1.28295i	−0.351980	−	0.936008i	$-0.614491\pi$
$307$	10.2659	−	22.4792i	0.585905	−	1.28295i	0.937885	−	0.346946i	$-0.112781\pi$
$308$	−2.61087	+	3.01310i	−0.148768	+	0.171688i
$309$	14.3873	−	9.24617i	0.818467	−	0.525996i
$310$	−2.49845	−	17.3771i	−0.141902	−	0.986952i
$311$	−3.53897	−	24.6141i	−0.200676	−	1.39573i	−0.802284	−	0.596943i	$-0.796382\pi$
$311$	−3.53897	−	24.6141i	−0.200676	−	1.39573i	0.601607	−	0.798792i	$-0.294527\pi$
$312$	−1.78946	+	1.15002i	−0.101308	+	0.0651069i
$313$	10.0908	−	11.6454i	0.570365	−	0.658237i	−0.395140	−	0.918621i	$-0.629304\pi$
$313$	10.0908	−	11.6454i	0.570365	−	0.658237i	0.965505	+	0.260384i	$0.0838493\pi$
$314$	−2.19758	+	4.81203i	−0.124017	+	0.271558i
$315$	−1.96061	−	1.26001i	−0.110468	−	0.0709934i
$316$	12.8930	−	3.78572i	0.725288	−	0.212964i
$317$	−6.08114	−	7.01801i	−0.341551	−	0.394171i	0.558824	−	0.829286i	$-0.311253\pi$
$317$	−6.08114	−	7.01801i	−0.341551	−	0.394171i	−0.900374	+	0.435116i	$0.856707\pi$
$318$	6.19745	+	1.81974i	0.347536	+	0.102046i
$319$	−4.71324	−	10.3206i	−0.263891	−	0.577840i
$320$	0.331676	−	2.30686i	0.0185413	−	0.128957i
$321$	−1.28615			−0.0717858
$322$	1.72568	−	4.47460i	0.0961683	−	0.249360i
$323$	3.43896			0.191349
$324$	−0.142315	+	0.989821i	−0.00790638	+	0.0549901i
$325$	−0.381387	−	0.835120i	−0.0211555	−	0.0463241i
$326$	−5.46364	−	1.60427i	−0.302603	−	0.0888523i
$327$	9.57296	+	11.0478i	0.529386	+	0.610944i
$328$	−7.89127	+	2.31709i	−0.435722	+	0.127940i
$329$	1.25780	+	0.808341i	0.0693450	+	0.0445653i
$330$	−3.85996	+	8.45213i	−0.212484	+	0.465274i
$331$	−4.36186	+	5.03386i	−0.239750	+	0.276686i	−0.862854	−	0.505453i	$-0.831326\pi$
$331$	−4.36186	+	5.03386i	−0.239750	+	0.276686i	0.623105	+	0.782138i	$0.285871\pi$
$332$	−5.17880	+	3.32821i	−0.284223	+	0.182659i
$333$	1.40126	+	9.74601i	0.0767888	+	0.534078i
$334$	1.17693	+	8.18572i	0.0643987	+	0.447903i
$335$	−17.2016	+	11.0548i	−0.939822	+	0.603987i
$336$	0.654861	−	0.755750i	0.0357256	−	0.0412295i
$337$	−6.25644	+	13.6997i	−0.340810	+	0.746269i	−0.999984	−	0.00572117i	$-0.998179\pi$
$337$	−6.25644	+	13.6997i	−0.340810	+	0.746269i	0.659174	+	0.751991i	$0.270906\pi$
$338$	7.12986	+	4.58208i	0.387813	+	0.249232i
$339$	−1.64678	+	0.483539i	−0.0894410	+	0.0262623i
$340$	−1.02838	−	1.18681i	−0.0557716	−	0.0643638i
$341$	−28.8160	−	8.46115i	−1.56047	−	0.458197i
$342$	2.12017	+	4.64252i	0.114646	+	0.251039i
$343$	−0.142315	+	0.989821i	−0.00768428	+	0.0534453i
$344$	−3.47064			−0.187124
$345$	0.920897	−	11.1391i	0.0495794	−	0.599707i
$346$	−5.11378			−0.274918
$347$	−2.39416	+	16.6518i	−0.128525	+	0.893914i	0.818900	+	0.573937i	$0.194584\pi$
$347$	−2.39416	+	16.6518i	−0.128525	+	0.893914i	−0.947425	+	0.319977i	$0.896325\pi$
$348$	1.18218	+	2.58861i	0.0633715	+	0.138764i
$349$	8.48599	+	2.49171i	0.454244	+	0.133378i	0.500848	−	0.865535i	$-0.333022\pi$
$349$	8.48599	+	2.49171i	0.454244	+	0.133378i	−0.0466036	+	0.998913i	$0.514840\pi$
$350$	0.282642	+	0.326186i	0.0151078	+	0.0174354i
$351$	−2.04097	+	0.599284i	−0.108939	+	0.0319874i
$352$	−3.35400	−	2.15549i	−0.178769	−	0.114888i
$353$	−7.42223	+	16.2524i	−0.395046	+	0.865029i	0.602703	+	0.797966i	$0.294090\pi$
$353$	−7.42223	+	16.2524i	−0.395046	+	0.865029i	−0.997749	+	0.0670637i	$0.978637\pi$
$354$	−4.08616	+	4.71568i	−0.217177	+	0.250635i
$355$	30.5002	−	19.6013i	1.61878	−	1.04033i
$356$	−0.448642	−	3.12037i	−0.0237780	−	0.165380i
$357$	−0.0958936	−	0.666954i	−0.00507523	−	0.0352990i
$358$	12.5703	−	8.07841i	0.664359	−	0.426957i
$359$	3.20098	−	3.69412i	0.168941	−	0.194968i	−0.664965	−	0.746874i	$-0.731554\pi$
$359$	3.20098	−	3.69412i	0.168941	−	0.194968i	0.833907	+	0.551906i	$0.186099\pi$
$360$	0.968158	−	2.11997i	0.0510264	−	0.111732i
$361$	5.92927	+	3.81051i	0.312067	+	0.200553i
$362$	14.4735	−	4.24979i	0.760708	−	0.223364i
$363$	3.20583	+	3.69973i	0.168263	+	0.194185i
$364$	2.04097	+	0.599284i	0.106976	+	0.0314110i
$365$	−11.4350	−	25.0391i	−0.598534	−	1.31061i
$366$	1.66893	−	11.6077i	0.0872363	−	0.606742i
$367$	−35.9778			−1.87802			−0.939012	−	0.343883i	$-0.888258\pi$
$367$	−35.9778			−1.87802			−0.939012	+	0.343883i	$0.888258\pi$
$368$	4.67464	+	1.07131i	0.243683	+	0.0558460i
$369$	−8.22441			−0.428146
$370$	3.26576	−	22.7139i	0.169779	−	1.18084i
$371$	−2.68320	−	5.87539i	−0.139305	−	0.305035i
$372$	7.22766	+	2.12223i	0.374737	+	0.110033i
$373$	18.7733	+	21.6655i	0.972043	+	1.12180i	0.992529	+	0.122008i	$0.0389332\pi$
$373$	18.7733	+	21.6655i	0.972043	+	1.12180i	−0.0204860	+	0.999790i	$0.506521\pi$
$374$	−2.57761	+	0.756855i	−0.133285	+	0.0391360i
$375$	−8.95684	−	5.75621i	−0.462529	−	0.297249i
$376$	−0.621109	+	1.36004i	−0.0320313	+	0.0701387i
$377$	−3.96411	+	4.57483i	−0.204162	+	0.235616i
$378$	0.841254	−	0.540641i	0.0432694	−	0.0278076i
$379$	−2.09337	−	14.5597i	−0.107529	−	0.747882i	−0.970233	−	0.242173i	$-0.922140\pi$
$379$	−2.09337	−	14.5597i	−0.107529	−	0.747882i	0.862704	−	0.505709i	$-0.168769\pi$
$380$	−1.69279	−	11.7736i	−0.0868382	−	0.603973i
$381$	14.4563	−	9.29053i	0.740621	−	0.475968i
$382$	−12.0110	+	13.8615i	−0.614537	+	0.709214i
$383$	−5.96461	+	13.0607i	−0.304777	+	0.667369i	−0.998607	−	0.0527705i	$-0.983195\pi$
$383$	−5.96461	+	13.0607i	−0.304777	+	0.667369i	0.693830	+	0.720139i	$0.255922\pi$
$384$	0.841254	+	0.540641i	0.0429300	+	0.0275895i
$385$	8.91543	−	2.61781i	0.454372	−	0.133416i
$386$	1.54059	+	1.77793i	0.0784138	+	0.0904943i
$387$	−3.33005	−	0.977792i	−0.169276	−	0.0497039i
$388$	6.74958	+	14.7795i	0.342658	+	0.750317i
$389$	−1.34281	+	9.33946i	−0.0680832	+	0.473529i	0.927046	+	0.374948i	$0.122339\pi$
$389$	−1.34281	+	9.33946i	−0.0680832	+	0.473529i	−0.995129	+	0.0985811i	$0.968570\pi$
$390$	4.95747			0.251031
$391$	2.60825	−	1.90777i	0.131905	−	0.0964799i
$392$	−1.00000			−0.0505076
$393$	−0.304058	+	2.11477i	−0.0153377	+	0.106676i
$394$	6.87963	+	15.0643i	0.346591	+	0.758927i
$395$	−30.0482	−	8.82294i	−1.51189	−	0.443930i
$396$	−2.61087	−	3.01310i	−0.131201	−	0.151414i
$397$	−34.4936	+	10.1282i	−1.73119	+	0.508322i	−0.987147	−	0.159815i	$-0.948910\pi$
$397$	−34.4936	+	10.1282i	−1.73119	+	0.508322i	−0.744038	+	0.668137i	$0.767092\pi$
$398$	−3.19699	−	2.05458i	−0.160250	−	0.102987i
$399$	2.12017	−	4.64252i	0.106141	−	0.232417i
$400$	−0.282642	+	0.326186i	−0.0141321	+	0.0163093i
$401$	−6.35024	+	4.08105i	−0.317116	+	0.203798i	−0.689509	−	0.724277i	$-0.742174\pi$
$401$	−6.35024	+	4.08105i	−0.317116	+	0.203798i	0.372393	+	0.928075i	$0.378537\pi$
$402$	−1.24861	−	8.68428i	−0.0622750	−	0.433132i
$403$	2.28035	+	15.8602i	0.113592	+	0.790053i
$404$	−2.21734	+	1.42500i	−0.110317	+	0.0708963i
$405$	1.52621	−	1.76134i	0.0758378	−	0.0875215i
$406$	1.18218	−	2.58861i	0.0586706	−	0.128471i
$407$	−33.0243	−	21.2234i	−1.63695	−	1.05201i
$408$	0.646519	−	0.189835i	0.0320074	−	0.00939823i
$409$	−11.1067	−	12.8178i	−0.549192	−	0.633801i	0.411503	−	0.911409i	$-0.365004\pi$
$409$	−11.1067	−	12.8178i	−0.549192	−	0.633801i	−0.960695	+	0.277607i	$0.910459\pi$
$410$	18.3912	+	5.40015i	0.908278	+	0.266695i
$411$	−5.18982	−	11.3641i	−0.255995	−	0.560551i
$412$	2.43390	−	16.9282i	0.119910	−	0.833991i
$413$	6.23974			0.307037
$414$	4.18346	+	2.34492i	0.205606	+	0.115246i
$415$	14.3472			0.704275
$416$	−0.302723	+	2.10549i	−0.0148422	+	0.103230i
$417$	−8.18274	−	17.9177i	−0.400711	−	0.877434i
$418$	−19.5239	−	5.73273i	−0.954945	−	0.280397i
$419$	24.3838	+	28.1404i	1.19123	+	1.37475i	0.909737	+	0.415186i	$0.136283\pi$
$419$	24.3838	+	28.1404i	1.19123	+	1.37475i	0.281491	+	0.959564i	$0.409171\pi$
$420$	−2.23618	+	0.656600i	−0.109114	+	0.0320388i
$421$	−7.52767	−	4.83774i	−0.366876	−	0.235777i	0.344193	−	0.938899i	$-0.388152\pi$
$421$	−7.52767	−	4.83774i	−0.366876	−	0.235777i	−0.711069	+	0.703122i	$0.751789\pi$
$422$	−10.3704	+	22.7081i	−0.504825	+	1.10541i
$423$	−0.979118	+	1.12996i	−0.0476063	+	0.0549406i
$424$	5.43373	−	3.49205i	0.263885	−	0.169589i
$425$	0.0413882	+	0.287862i	0.00200762	+	0.0139633i
$426$	2.21392	+	15.3981i	0.107265	+	0.746042i
$427$	−9.86539	+	6.34010i	−0.477420	+	0.306819i
$428$	−0.842248	+	0.972006i	−0.0407116	+	0.0469837i
$429$	3.52301	−	7.71432i	0.170093	−	0.372451i
$430$	6.80456	+	4.37303i	0.328145	+	0.210886i
$431$	36.3351	−	10.6689i	1.75020	−	0.513904i	0.759562	−	0.650435i	$-0.225413\pi$
$431$	36.3351	−	10.6689i	1.75020	−	0.513904i	0.990636	+	0.136530i	$0.0435951\pi$
$432$	0.654861	+	0.755750i	0.0315070	+	0.0363610i
$433$	−0.321899	−	0.0945181i	−0.0154695	−	0.00454225i	0.273989	−	0.961733i	$-0.411657\pi$
$433$	−0.321899	−	0.0945181i	−0.0154695	−	0.00454225i	−0.289458	+	0.957191i	$0.593475\pi$
$434$	−3.12923	−	6.85207i	−0.150208	−	0.328910i
$435$	0.943877	−	6.56481i	0.0452554	−	0.314759i
$436$	14.6183			0.700090
$437$	24.4322	−	1.47540i	1.16875	−	0.0705782i
$438$	11.8111			0.564354
$439$	1.03764	−	7.21695i	0.0495239	−	0.344446i	−0.949961	−	0.312367i	$-0.898878\pi$
$439$	1.03764	−	7.21695i	0.0495239	−	0.344446i	0.999485	−	0.0320791i	$-0.0102129\pi$
$440$	3.85996	+	8.45213i	0.184016	+	0.402939i
$441$	−0.959493	−	0.281733i	−0.0456901	−	0.0134158i
$442$	0.938607	+	1.08321i	0.0446450	+	0.0515231i
$443$	9.65918	−	2.83619i	0.458921	−	0.134751i	−0.0440969	−	0.999027i	$-0.514041\pi$
$443$	9.65918	−	2.83619i	0.458921	−	0.134751i	0.503018	+	0.864276i	$0.332223\pi$
$444$	8.28318	+	5.32327i	0.393102	+	0.252631i
$445$	−3.05208	+	6.68313i	−0.144683	+	0.316811i
$446$	6.49921	−	7.50049i	0.307747	−	0.355158i
$447$	3.68530	−	2.36840i	0.174309	−	0.112021i
$448$	−0.142315	−	0.989821i	−0.00672374	−	0.0467647i
$449$	−1.68507	−	11.7199i	−0.0795236	−	0.553098i	−0.990165	−	0.139902i	$-0.955321\pi$
$449$	−1.68507	−	11.7199i	−0.0795236	−	0.553098i	0.910642	−	0.413197i	$-0.135588\pi$
$450$	−0.363090	+	0.233344i	−0.0171162	+	0.0109999i
$451$	21.4729	−	24.7810i	1.01112	−	1.16689i
$452$	−0.712980	+	1.56121i	−0.0335357	+	0.0734330i
$453$	6.52392	+	4.19267i	0.306521	+	0.196989i
$454$	12.4040	−	3.64215i	0.582150	−	0.170935i
$455$	−3.24645	−	3.74660i	−0.152196	−	0.175644i
$456$	4.89700	+	1.43789i	0.229323	+	0.0673353i
$457$	4.57332	+	10.0142i	0.213931	+	0.468443i	0.985925	−	0.167186i	$-0.0534681\pi$
$457$	4.57332	+	10.0142i	0.213931	+	0.468443i	−0.771995	+	0.635629i	$0.780741\pi$
$458$	1.45351	−	10.1094i	0.0679182	−	0.472381i
$459$	0.673813			0.0314509
$460$	−7.81529	−	7.99051i	−0.364390	−	0.372559i
$461$	8.81354			0.410488			0.205244	−	0.978711i	$-0.434201\pi$
$461$	8.81354			0.410488			0.205244	+	0.978711i	$0.434201\pi$
$462$	−0.567396	+	3.94633i	−0.0263977	+	0.183600i
$463$	9.79743	+	21.4534i	0.455325	+	0.997023i	0.988528	+	0.151036i	$0.0482609\pi$
$463$	9.79743	+	21.4534i	0.455325	+	0.997023i	−0.533203	+	0.845987i	$0.679012\pi$
$464$	2.73050	+	0.801749i	0.126761	+	0.0372202i
$465$	−11.4966	−	13.2678i	−0.533141	−	0.615278i
$466$	12.8816	−	3.78239i	0.596730	−	0.175216i
$467$	9.94583	+	6.39180i	0.460238	+	0.295777i	0.750140	−	0.661279i	$-0.229986\pi$
$467$	9.94583	+	6.39180i	0.460238	+	0.295777i	−0.289902	+	0.957056i	$0.593623\pi$
$468$	−0.883645	+	1.93491i	−0.0408465	+	0.0894414i
$469$	−5.74547	+	6.63063i	−0.265301	+	0.306174i
$470$	2.93141	−	1.88390i	0.135216	−	0.0868980i
$471$	0.752857	+	5.23624i	0.0346898	+	0.241273i
$472$	0.888007	+	6.17623i	0.0408738	+	0.284284i
$473$	11.6405	−	7.48091i	0.535232	−	0.343973i
$474$	8.79956	−	10.1552i	0.404177	−	0.466445i
$475$	−0.915078	+	2.00374i	−0.0419867	+	0.0919380i
$476$	−0.566847	−	0.364291i	−0.0259814	−	0.0166972i
$477$	6.19745	−	1.81974i	0.283762	−	0.0833200i
$478$	−12.1763	−	14.0522i	−0.556931	−	0.642733i
$479$	18.4491	+	5.41716i	0.842963	+	0.247516i	0.674576	−	0.738205i	$-0.264326\pi$
$479$	18.4491	+	5.41716i	0.842963	+	0.247516i	0.168386	+	0.985721i	$0.446144\pi$
$480$	−0.968158	−	2.11997i	−0.0441902	−	0.0967630i
$481$	−2.98068	+	20.7311i	−0.135907	+	0.945257i
$482$	−8.33544			−0.379669
$483$	−0.967418	−	4.69724i	−0.0440190	−	0.213732i
$484$	4.89544			0.222520
$485$	5.38901	−	37.4814i	0.244702	−	1.70194i
$486$	0.415415	+	0.909632i	0.0188436	+	0.0412617i
$487$	−38.4618	−	11.2934i	−1.74287	−	0.511753i	−0.753535	−	0.657408i	$-0.771653\pi$
$487$	−38.4618	−	11.2934i	−1.74287	−	0.511753i	−0.989335	+	0.145655i	$0.953471\pi$
$488$	−7.67956	−	8.86269i	−0.347637	−	0.401195i
$489$	−5.46364	+	1.60427i	−0.247074	+	0.0725476i
$490$	1.96061	+	1.26001i	0.0885713	+	0.0569213i
$491$	−11.6728	+	25.5598i	−0.526785	+	1.15350i	0.440022	+	0.897987i	$0.354971\pi$
$491$	−11.6728	+	25.5598i	−0.526785	+	1.15350i	−0.966806	+	0.255510i	$0.917757\pi$
$492$	−5.38585	+	6.21560i	−0.242813	+	0.280221i
$493$	1.61312	−	1.03669i	0.0726514	−	0.0466902i
$494$	1.54502	+	10.7459i	0.0695138	+	0.483479i
$495$	1.32236	+	9.19723i	0.0594358	+	0.413385i
$496$	6.33699	−	4.07253i	0.284539	−	0.182862i
$497$	10.1873	−	11.7568i	0.456964	−	0.527365i
$498$	−2.55731	+	5.59974i	−0.114596	+	0.250930i
$499$	−12.2983	−	7.90364i	−0.550548	−	0.353816i	0.235604	−	0.971849i	$-0.424293\pi$
$499$	−12.2983	−	7.90364i	−0.550548	−	0.353816i	−0.786152	+	0.618033i	$0.787930\pi$
$500$	−10.2157	+	2.99961i	−0.456861	+	0.134147i
$501$	5.41563	+	6.24997i	0.241953	+	0.279228i
$502$	−3.87506	−	1.13782i	−0.172953	−	0.0507835i
$503$	−10.0289	−	21.9602i	−0.447166	−	0.979156i	−0.990227	−	0.139464i	$-0.955462\pi$
$503$	−10.0289	−	21.9602i	−0.447166	−	0.979156i	0.543061	−	0.839693i	$-0.317265\pi$
$504$	0.142315	−	0.989821i	0.00633921	−	0.0440902i
$505$	6.14284			0.273353
$506$	−17.9880	+	6.48295i	−0.799662	+	0.288202i
$507$	8.47528			0.376400
$508$	2.44558	−	17.0094i	0.108505	−	0.754669i
$509$	−14.1717	−	31.0317i	−0.628149	−	1.37545i	−0.909441	−	0.415832i	$-0.863490\pi$
$509$	−14.1717	−	31.0317i	−0.628149	−	1.37545i	0.281292	−	0.959622i	$-0.409237\pi$
$510$	−1.50676	−	0.442426i	−0.0667206	−	0.0195909i
$511$	−7.73460	−	8.92620i	−0.342158	−	0.394872i
$512$	0.959493	−	0.281733i	0.0424040	−	0.0124509i
$513$	4.29354	+	2.75929i	0.189564	+	0.121826i
$514$	−2.35541	+	5.15762i	−0.103893	+	0.227493i
$515$	−26.1016	+	30.1228i	−1.15017	+	1.32737i
$516$	−2.91969	+	1.87637i	−0.128532	+	0.0826025i
$517$	−0.848345	−	5.90037i	−0.0373102	−	0.259498i
$518$	−1.40126	−	9.74601i	−0.0615680	−	0.428215i
$519$	−4.30198	+	2.76472i	−0.188836	+	0.121358i
$520$	3.24645	−	3.74660i	0.142366	−	0.164299i
$521$	−8.95484	+	19.6084i	−0.392319	+	0.859058i	0.605673	+	0.795714i	$0.292904\pi$
$521$	−8.95484	+	19.6084i	−0.392319	+	0.859058i	−0.997992	+	0.0633443i	$0.979823\pi$
$522$	2.39402	+	1.53854i	0.104783	+	0.0673403i
$523$	9.13745	−	2.68300i	0.399553	−	0.117319i	−0.0757816	−	0.997124i	$-0.524145\pi$
$523$	9.13745	−	2.68300i	0.399553	−	0.117319i	0.475335	+	0.879805i	$0.342327\pi$
$524$	1.39912	+	1.61467i	0.0611209	+	0.0705373i
$525$	0.414123	+	0.121597i	0.0180738	+	0.00530695i
$526$	7.77922	+	17.0341i	0.339190	+	0.742723i
$527$	0.722346	−	5.02403i	0.0314659	−	0.218850i
$528$	−3.98691			−0.173508
$529$	17.7119	−	14.6728i	0.770081	−	0.637946i
$530$	−15.0534			−0.653879
$531$	−0.888007	+	6.17623i	−0.0385362	+	0.268025i
$532$	−2.12017	−	4.64252i	−0.0919210	−	0.201279i
$533$	−16.7858	−	4.92876i	−0.727075	−	0.213488i
$534$	−2.06442	−	2.38247i	−0.0893363	−	0.103100i
$535$	2.87605	−	0.844486i	0.124343	−	0.0365103i
$536$	−7.38081	−	4.74336i	−0.318802	−	0.204882i
$537$	6.20725	−	13.5920i	0.267863	−	0.586537i
$538$	8.41739	−	9.71418i	0.362899	−	0.418808i
$539$	3.35400	−	2.15549i	0.144467	−	0.0928433i
$540$	−0.331676	−	2.30686i	−0.0142731	−	0.0992714i
$541$	−3.67214	−	25.5403i	−0.157878	−	1.09806i	−0.902535	−	0.430617i	$-0.858296\pi$
$541$	−3.67214	−	25.5403i	−0.157878	−	1.09806i	0.744657	−	0.667447i	$-0.232613\pi$
$542$	7.70291	−	4.95036i	0.330868	−	0.212636i
$543$	9.87824	−	11.4001i	0.423916	−	0.489225i
$544$	0.279912	−	0.612922i	0.0120011	−	0.0262788i
$545$	−28.6608	−	18.4192i	−1.22769	−	0.788991i
$546$	2.04097	−	0.599284i	0.0873456	−	0.0256470i
$547$	−8.20576	−	9.46995i	−0.350853	−	0.404906i	0.552701	−	0.833379i	$-0.313597\pi$
$547$	−8.20576	−	9.46995i	−0.350853	−	0.404906i	−0.903554	+	0.428473i	$0.859052\pi$
$548$	−11.9870	−	3.51971i	−0.512061	−	0.150355i
$549$	−4.87158	−	10.6673i	−0.207914	−	0.455268i
$550$	0.244892	−	1.70326i	0.0104422	−	0.0726272i
$551$	14.5241			0.618748
$552$	4.51176	−	1.62606i	0.192033	−	0.0692096i
$553$	−13.4373			−0.571412
$554$	−3.56145	+	24.7704i	−0.151312	+	1.05240i
$555$	−9.53271	−	20.8737i	−0.404641	−	0.886040i
$556$	−18.8999	−	5.54950i	−0.801533	−	0.235351i
$557$	7.37635	+	8.51276i	0.312546	+	0.360697i	0.890188	−	0.455593i	$-0.150573\pi$
$557$	7.37635	+	8.51276i	0.312546	+	0.360697i	−0.577642	+	0.816290i	$0.696027\pi$
$558$	7.22766	−	2.12223i	0.305971	−	0.0898413i
$559$	−6.21058	−	3.99130i	−0.262679	−	0.168814i
$560$	−0.968158	+	2.11997i	−0.0409122	+	0.0895851i
$561$	−1.75924	+	2.03027i	−0.0742751	+	0.0857180i
$562$	−20.4656	+	13.1525i	−0.863290	+	0.554803i
$563$	−3.26888	−	22.7356i	−0.137767	−	0.958189i	−0.935033	−	0.354561i	$-0.884630\pi$
$563$	−3.26888	−	22.7356i	−0.137767	−	0.958189i	0.797266	−	0.603628i	$-0.206279\pi$
$564$	0.212783	+	1.47994i	0.00895976	+	0.0623165i
$565$	3.36501	−	2.16256i	0.141567	−	0.0909795i
$566$	3.73858	−	4.31456i	0.157144	−	0.181354i
$567$	0.415415	−	0.909632i	0.0174458	−	0.0382010i
$568$	13.0869	+	8.41047i	0.549116	+	0.352896i
$569$	35.2511	−	10.3506i	1.47780	−	0.433922i	0.559175	−	0.829050i	$-0.311118\pi$
$569$	35.2511	−	10.3506i	1.47780	−	0.433922i	0.918626	+	0.395128i	$0.129300\pi$
$570$	−7.78935	−	8.98939i	−0.326260	−	0.376524i
$571$	−15.9717	−	4.68970i	−0.668393	−	0.196258i	−0.0701058	−	0.997540i	$-0.522334\pi$
$571$	−15.9717	−	4.68970i	−0.668393	−	0.196258i	−0.598287	+	0.801282i	$0.704152\pi$
$572$	−3.52301	−	7.71432i	−0.147305	−	0.322552i
$573$	−2.61024	+	18.1546i	−0.109044	+	0.758421i
$574$	8.22441			0.343280
$575$	0.417543	+	2.02736i	0.0174128	+	0.0845467i
$576$	1.00000			0.0416667
$577$	2.19628	−	15.2754i	0.0914322	−	0.635925i	−0.891645	−	0.452735i	$-0.850448\pi$
$577$	2.19628	−	15.2754i	0.0914322	−	0.635925i	0.983077	−	0.183190i	$-0.0586424\pi$
$578$	6.87345	+	15.0507i	0.285898	+	0.626029i
$579$	2.25725	+	0.662787i	0.0938079	+	0.0275445i
$580$	−4.34324	−	5.01237i	−0.180343	−	0.208127i
$581$	5.90668	−	1.73436i	0.245051	−	0.0719533i
$582$	13.6685	+	8.78423i	0.566579	+	0.364118i
$583$	−10.6977	+	23.4247i	−0.443053	+	0.970150i
$584$	7.73460	−	8.92620i	0.320060	−	0.369369i
$585$	4.17049	−	2.68021i	0.172428	−	0.110813i
$586$	1.26884	+	8.82501i	0.0524155	+	0.364558i
$587$	2.32798	+	16.1914i	0.0960859	+	0.668292i	0.979758	+	0.200186i	$0.0641545\pi$
$587$	2.32798	+	16.1914i	0.0960859	+	0.668292i	−0.883672	+	0.468106i	$0.844936\pi$
$588$	−0.841254	+	0.540641i	−0.0346927	+	0.0222957i
$589$	25.1764	−	29.0551i	1.03737	−	1.19719i
$590$	6.04105	−	13.2281i	0.248706	−	0.544591i
$591$	13.9319	+	8.95347i	0.573081	+	0.368297i
$592$	9.44739	−	2.77400i	0.388285	−	0.114011i
$593$	−12.4920	−	14.4165i	−0.512984	−	0.592015i	0.438876	−	0.898547i	$-0.355377\pi$
$593$	−12.4920	−	14.4165i	−0.512984	−	0.592015i	−0.951860	+	0.306533i	$0.900831\pi$
$594$	−3.82541	−	1.12324i	−0.156959	−	0.0460872i
$595$	0.652357	+	1.42846i	0.0267440	+	0.0585613i
$596$	0.623442	−	4.33614i	0.0255372	−	0.177615i
$597$	−3.80027			−0.155535
$598$	7.13307	+	7.29300i	0.291693	+	0.298233i
$599$	−22.8200			−0.932402			−0.466201	−	0.884679i	$-0.654378\pi$
$599$	−22.8200			−0.932402			−0.466201	+	0.884679i	$0.654378\pi$
$600$	−0.0614240	+	0.427213i	−0.00250762	+	0.0174409i
$601$	12.2134	+	26.7437i	0.498196	+	1.09090i	0.977051	+	0.213004i	$0.0683246\pi$
$601$	12.2134	+	26.7437i	0.498196	+	1.09090i	−0.478855	+	0.877894i	$0.658948\pi$
$602$	3.33005	+	0.977792i	0.135723	+	0.0398518i
$603$	−5.74547	−	6.63063i	−0.233974	−	0.270020i
$604$	7.44087	−	2.18484i	0.302765	−	0.0888997i
$605$	−9.59805	−	6.16829i	−0.390216	−	0.250777i
$606$	−1.09493	+	2.39757i	−0.0444786	+	0.0973945i
$607$	−21.9371	+	25.3167i	−0.890398	+	1.02757i	0.109040	+	0.994037i	$0.465222\pi$
$607$	−21.9371	+	25.3167i	−0.890398	+	1.02757i	−0.999437	+	0.0335363i	$0.989323\pi$
$608$	4.29354	−	2.75929i	0.174126	−	0.111904i
$609$	−0.404997	−	2.81681i	−0.0164113	−	0.114143i
$610$	3.88957	+	27.0526i	0.157484	+	1.09533i
$611$	−2.67552	+	1.71945i	−0.108240	+	0.0695617i
$612$	0.441254	−	0.509234i	0.0178366	−	0.0205846i
$613$	6.57564	−	14.3986i	0.265588	−	0.581556i	−0.729110	−	0.684396i	$-0.760066\pi$
$613$	6.57564	−	14.3986i	0.265588	−	0.581556i	0.994698	+	0.102840i	$0.0327931\pi$
$614$	−20.7894	−	13.3605i	−0.838990	−	0.539186i
$615$	18.3912	−	5.40015i	0.741606	−	0.217755i
$616$	2.61087	+	3.01310i	0.105195	+	0.121401i
$617$	−22.6237	−	6.64292i	−0.910796	−	0.267434i	−0.207420	−	0.978252i	$-0.566507\pi$
$617$	−22.6237	−	6.64292i	−0.910796	−	0.267434i	−0.703376	+	0.710818i	$0.748325\pi$
$618$	−7.10453	−	15.5568i	−0.285786	−	0.625784i
$619$	−0.768463	+	5.34477i	−0.0308871	+	0.214825i	−0.999420	−	0.0340621i	$-0.989156\pi$
$619$	−0.768463	+	5.34477i	−0.0308871	+	0.214825i	0.968533	+	0.248887i	$0.0800647\pi$
$620$	−17.5558			−0.705057
$621$	4.78711	−	0.289083i	0.192100	−	0.0116005i
$622$	−24.8672			−0.997082
$623$	−0.448642	+	3.12037i	−0.0179745	+	0.125015i
$624$	0.883645	+	1.93491i	0.0353741	+	0.0774585i
$625$	25.8792	+	7.59882i	1.03517	+	0.303953i
$626$	−10.0908	−	11.6454i	−0.403309	−	0.465444i
$627$	−19.5239	+	5.73273i	−0.779709	+	0.228943i
$628$	4.45030	+	2.86003i	0.177586	+	0.114128i
$629$	2.75608	−	6.03497i	0.109892	−	0.240630i
$630$	−1.52621	+	1.76134i	−0.0608055	+	0.0701733i
$631$	27.0854	−	17.4067i	1.07825	−	0.692952i	0.124100	−	0.992270i	$-0.460396\pi$
$631$	27.0854	−	17.4067i	1.07825	−	0.692952i	0.954153	+	0.299318i	$0.0967592\pi$
$632$	−1.91233	−	13.3005i	−0.0760683	−	0.529067i
$633$	3.55275	+	24.7099i	0.141209	+	0.982132i
$634$	−7.81201	+	5.02047i	−0.310255	+	0.199389i
$635$	−26.2268	+	30.2673i	−1.04078	+	1.20112i
$636$	2.68320	−	5.87539i	0.106396	−	0.232974i
$637$	−1.78946	−	1.15002i	−0.0709011	−	0.0455654i
$638$	−10.8863	+	3.19650i	−0.430992	+	0.126551i
$639$	10.1873	+	11.7568i	0.403005	+	0.465092i
$640$	−2.23618	−	0.656600i	−0.0883926	−	0.0259544i
$641$	−10.4103	−	22.7954i	−0.411182	−	0.900362i	−0.996013	−	0.0892074i	$-0.971567\pi$
$641$	−10.4103	−	22.7954i	−0.411182	−	0.900362i	0.584831	−	0.811155i	$-0.301161\pi$
$642$	−0.183038	+	1.27306i	−0.00722393	+	0.0502436i
$643$	7.61513			0.300311			0.150156	−	0.988662i	$-0.452023\pi$
$643$	7.61513			0.300311			0.150156	+	0.988662i	$0.452023\pi$
$644$	−4.18346	−	2.34492i	−0.164852	−	0.0924026i
$645$	8.08860			0.318488
$646$	0.489416	−	3.40396i	0.0192558	−	0.133927i
$647$	−6.69742	−	14.6653i	−0.263303	−	0.576553i	0.731093	−	0.682278i	$-0.239011\pi$
$647$	−6.69742	−	14.6653i	−0.263303	−	0.576553i	−0.994395	+	0.105726i	$0.966283\pi$
$648$	0.959493	+	0.281733i	0.0376924	+	0.0110675i
$649$	−16.2911	−	18.8010i	−0.639483	−	0.738003i
$650$	−0.880897	+	0.258655i	−0.0345516	+	0.0101453i
$651$	−6.33699	−	4.07253i	−0.248366	−	0.159615i
$652$	−2.36550	+	5.17972i	−0.0926401	+	0.202853i
$653$	−7.44152	+	8.58798i	−0.291209	+	0.336074i	−0.882436	−	0.470432i	$-0.844098\pi$
$653$	−7.44152	+	8.58798i	−0.291209	+	0.336074i	0.591227	+	0.806505i	$0.298644\pi$
$654$	12.2977	−	7.90326i	0.480878	−	0.309042i
$655$	−0.708632	−	4.92864i	−0.0276885	−	0.192578i
$656$	1.17046	+	8.14070i	0.0456986	+	0.317841i
$657$	9.93609	−	6.38554i	0.387644	−	0.249124i
$658$	0.979118	−	1.12996i	0.0381700	−	0.0440505i
$659$	11.8816	−	26.0171i	0.462841	−	1.01348i	−0.523989	−	0.851725i	$-0.675557\pi$
$659$	11.8816	−	26.0171i	0.462841	−	1.01348i	0.986831	−	0.161757i	$-0.0517159\pi$
$660$	7.81677	+	5.02353i	0.304267	+	0.195541i
$661$	31.7072	−	9.31008i	1.23327	−	0.362120i	0.400786	−	0.916172i	$-0.368737\pi$
$661$	31.7072	−	9.31008i	1.23327	−	0.362120i	0.832482	+	0.554052i	$0.186919\pi$
$662$	4.36186	+	5.03386i	0.169529	+	0.195646i
$663$	1.37523	+	0.403805i	0.0534097	+	0.0156825i
$664$	2.55731	+	5.59974i	0.0992430	+	0.217312i
$665$	−1.69279	+	11.7736i	−0.0656435	+	0.456561i
$666$	9.84623			0.381534
$667$	11.0157	−	8.05725i	0.426529	−	0.311978i
$668$	8.26990			0.319972
$669$	1.41241	−	9.82355i	0.0546071	−	0.379800i
$670$	8.49421	+	18.5997i	0.328160	+	0.718571i
$671$	44.8607	+	13.1723i	1.73183	+	0.508510i
$672$	−0.654861	−	0.755750i	−0.0252618	−	0.0291537i
$673$	−6.00273	+	1.76256i	−0.231388	+	0.0679418i	−0.395371	−	0.918521i	$-0.629384\pi$
$673$	−6.00273	+	1.76256i	−0.231388	+	0.0679418i	0.163983	+	0.986463i	$0.447566\pi$
$674$	12.6699	+	8.14242i	0.488025	+	0.313634i
$675$	−0.179296	+	0.392603i	−0.00690109	+	0.0151113i
$676$	5.55013	−	6.40519i	0.213467	−	0.246353i
$677$	−24.9574	+	16.0391i	−0.959189	+	0.616434i	−0.923774	−	0.382939i	$-0.874912\pi$
$677$	−24.9574	+	16.0391i	−0.959189	+	0.616434i	−0.0354157	+	0.999373i	$0.511276\pi$
$678$	0.244256	+	1.69884i	0.00938059	+	0.0652434i
$679$	−2.31230	−	16.0824i	−0.0887381	−	0.617187i
$680$	−1.32108	+	0.849009i	−0.0506612	+	0.0325580i
$681$	8.46584	−	9.77010i	0.324412	−	0.374391i
$682$	−12.4760	+	27.3186i	−0.477730	+	1.04608i
$683$	5.45165	+	3.50356i	0.208602	+	0.134060i	0.640770	−	0.767733i	$-0.278615\pi$
$683$	5.45165	+	3.50356i	0.208602	+	0.134060i	−0.432169	+	0.901793i	$0.642251\pi$
$684$	4.89700	−	1.43789i	0.187241	−	0.0549791i
$685$	19.0670	+	22.0045i	0.728515	+	0.840751i
$686$	0.959493	+	0.281733i	0.0366336	+	0.0107566i
$687$	−4.24278	−	9.29040i	−0.161872	−	0.354451i
$688$	−0.493923	+	3.43531i	−0.0188306	+	0.130970i
$689$	13.7394			0.523428
$690$	−10.8946	−	2.49678i	−0.414752	−	0.0950507i
$691$	27.8123			1.05803			0.529015	−	0.848612i	$-0.322561\pi$
$691$	27.8123			1.05803			0.529015	+	0.848612i	$0.322561\pi$
$692$	−0.727766	+	5.06172i	−0.0276655	+	0.192418i
$693$	1.65622	+	3.62662i	0.0629147	+	0.137764i
$694$	16.1416	+	4.73959i	0.612725	+	0.179912i
$695$	30.0628	+	34.6944i	1.14035	+	1.31603i
$696$	2.73050	−	0.801749i	0.103500	−	0.0303902i
$697$	4.66199	+	2.99608i	0.176585	+	0.113485i
$698$	3.67403	−	8.04500i	0.139064	−	0.304508i
$699$	8.79181	−	10.1463i	0.332537	−	0.383768i
$700$	0.363090	−	0.233344i	0.0137235	−	0.00881957i
$701$	2.64410	+	18.3901i	0.0998662	+	0.694585i	0.976828	+	0.214025i	$0.0686574\pi$
$701$	2.64410	+	18.3901i	0.0998662	+	0.694585i	−0.876962	+	0.480560i	$0.840433\pi$
$702$	0.302723	+	2.10549i	0.0114256	+	0.0794665i
$703$	42.2752	−	27.1686i	1.59444	−	1.02468i
$704$	−2.61087	+	3.01310i	−0.0984009	+	0.113561i
$705$	1.44755	−	3.16968i	0.0545177	−	0.119377i
$706$	15.0307	+	9.65965i	0.565688	+	0.363546i
$707$	2.52899	−	0.742578i	0.0951124	−	0.0279275i
$708$	4.08616	+	4.71568i	0.153567	+	0.177226i
$709$	−7.83990	−	2.30200i	−0.294434	−	0.0864536i	0.131180	−	0.991359i	$-0.458123\pi$
$709$	−7.83990	−	2.30200i	−0.294434	−	0.0864536i	−0.425614	+	0.904905i	$0.639942\pi$
$710$	−15.0611	−	32.9793i	−0.565234	−	1.23769i
$711$	1.91233	−	13.3005i	0.0717179	−	0.498809i
$712$	−3.15246			−0.118144
$713$	2.97648	−	36.0032i	0.111470	−	1.34833i
$714$	−0.673813			−0.0252168
$715$	−2.81285	+	19.5638i	−0.105195	+	0.731644i
$716$	−6.20725	−	13.5920i	−0.231976	−	0.507956i
$717$	−17.8405	−	5.23846i	−0.666267	−	0.195634i
$718$	−3.20098	−	3.69412i	−0.119459	−	0.137863i
$719$	−13.0443	+	3.83015i	−0.486470	+	0.142841i	−0.515765	−	0.856730i	$-0.672492\pi$
$719$	−13.0443	+	3.83015i	−0.486470	+	0.142841i	0.0292944	+	0.999571i	$0.490674\pi$
$720$	−1.96061	−	1.26001i	−0.0730676	−	0.0469577i
$721$	−7.10453	+	15.5568i	−0.264587	+	0.579364i
$722$	4.61555	−	5.32662i	0.171773	−	0.198236i
$723$	−7.01222	+	4.50648i	−0.260787	+	0.167598i
$724$	−2.14675	−	14.9309i	−0.0797832	−	0.554904i
$725$	0.174799	+	1.21575i	0.00649187	+	0.0451520i
$726$	4.11831	−	2.64668i	0.152845	−	0.0982273i
$727$	17.7003	−	20.4273i	0.656469	−	0.757606i	−0.325727	−	0.945464i	$-0.605609\pi$
$727$	17.7003	−	20.4273i	0.656469	−	0.757606i	0.982196	+	0.187858i	$0.0601545\pi$
$728$	0.883645	−	1.93491i	0.0327501	−	0.0717127i
$729$	0.841254	+	0.540641i	0.0311575	+	0.0200237i
$730$	−26.4116	+	7.75514i	−0.977537	+	0.287031i
$731$	1.53143	+	1.76737i	0.0566420	+	0.0653684i
$732$	−11.2520	−	3.30388i	−0.415886	−	0.122115i
$733$	16.8566	+	36.9107i	0.622611	+	1.36333i	0.913605	+	0.406603i	$0.133287\pi$
$733$	16.8566	+	36.9107i	0.622611	+	1.36333i	−0.290994	+	0.956725i	$0.593986\pi$
$734$	−5.12017	+	35.6116i	−0.188989	+	1.31445i
$735$	2.33058			0.0859648
$736$	1.72568	−	4.47460i	0.0636093	−	0.164936i
$737$	34.9795			1.28849
$738$	−1.17046	+	8.14070i	−0.0430851	+	0.299663i
$739$	4.20055	+	9.19792i	0.154520	+	0.338351i	0.971022	−	0.238992i	$-0.0768169\pi$
$739$	4.20055	+	9.19792i	0.154520	+	0.338351i	−0.816502	+	0.577343i	$0.804090\pi$
$740$	−22.0179	−	6.46504i	−0.809394	−	0.237660i
$741$	7.10940	+	8.20469i	0.261170	+	0.301407i
$742$	−6.19745	+	1.81974i	−0.227516	+	0.0668046i
$743$	−34.6251	−	22.2522i	−1.27027	−	0.816355i	−0.280618	−	0.959820i	$-0.590539\pi$
$743$	−34.6251	−	22.2522i	−1.27027	−	0.816355i	−0.989655	+	0.143465i	$0.954176\pi$
$744$	3.12923	−	6.85207i	0.114723	−	0.251209i
$745$	−6.68589	+	7.71593i	−0.244952	+	0.282690i
$746$	24.1167	−	15.4989i	0.882975	−	0.567454i
$747$	0.876097	+	6.09339i	0.0320547	+	0.222945i
$748$	0.382319	+	2.65909i	0.0139790	+	0.0972258i
$749$	1.08198	−	0.695344i	0.0395346	−	0.0254073i
$750$	−6.97231	+	8.04647i	−0.254593	+	0.293816i
$751$	−8.51485	+	18.6449i	−0.310711	+	0.680363i	−0.998983	−	0.0450902i	$-0.985642\pi$
$751$	−8.51485	+	18.6449i	−0.310711	+	0.680363i	0.688272	+	0.725453i	$0.258370\pi$
$752$	1.25780	+	0.808341i	0.0458674	+	0.0294772i
$753$	−3.87506	+	1.13782i	−0.141215	+	0.0414645i
$754$	3.96411	+	4.57483i	0.144364	+	0.166605i
$755$	−17.3415	−	5.09194i	−0.631123	−	0.185315i
$756$	−0.415415	−	0.909632i	−0.0151085	−	0.0330830i
$757$	−4.64295	+	32.2924i	−0.168751	+	1.17369i	0.712720	+	0.701449i	$0.247463\pi$
$757$	−4.64295	+	32.2924i	−0.168751	+	1.17369i	−0.881471	+	0.472239i	$0.843446\pi$
$758$	−14.7094			−0.534270
$759$	−11.6275	+	15.1788i	−0.422051	+	0.550956i
$760$	−11.8947			−0.431465
$761$	5.80463	−	40.3721i	0.210418	−	1.46349i	−0.561349	−	0.827579i	$-0.689717\pi$
$761$	5.80463	−	40.3721i	0.210418	−	1.46349i	0.771766	−	0.635906i	$-0.219374\pi$
$762$	−7.13861	−	15.6314i	−0.258605	−	0.566265i
$763$	−14.0262	−	4.11845i	−0.507781	−	0.149098i
$764$	12.0110	+	13.8615i	0.434543	+	0.501490i
$765$	−1.50676	+	0.442426i	−0.0544772	+	0.0159959i
$766$	12.0789	+	7.76262i	0.436427	+	0.280475i
$767$	−5.51371	+	12.0734i	−0.199089	+	0.435943i
$768$	0.654861	−	0.755750i	0.0236303	−	0.0272708i
$769$	−15.8187	+	10.1660i	−0.570436	+	0.366597i	−0.793838	−	0.608129i	$-0.791920\pi$
$769$	−15.8187	+	10.1660i	−0.570436	+	0.366597i	0.223402	+	0.974726i	$0.428284\pi$
$770$	−1.32236	−	9.19723i	−0.0476546	−	0.331445i
$771$	0.806927	+	5.61230i	0.0290608	+	0.202122i
$772$	1.97908	−	1.27188i	0.0712287	−	0.0457759i
$773$	−14.2770	+	16.4766i	−0.513509	+	0.592620i	−0.951994	−	0.306118i	$-0.900970\pi$
$773$	−14.2770	+	16.4766i	−0.513509	+	0.592620i	0.438485	+	0.898738i	$0.355515\pi$
$774$	−1.44176	+	3.15700i	−0.0518228	+	0.113476i
$775$	2.73508	+	1.75773i	0.0982470	+	0.0631395i
$776$	15.5897	−	4.57754i	0.559636	−	0.164324i
$777$	−6.44791	−	7.44128i	−0.231317	−	0.266955i
$778$	9.05329	+	2.65829i	0.324576	+	0.0953042i
$779$	17.4371	+	38.1820i	0.624751	+	1.36801i
$780$	0.705521	−	4.90701i	0.0252617	−	0.175699i
$781$	−62.0223			−2.21933
$782$	−1.51715	−	2.85321i	−0.0542533	−	0.102030i
$783$	2.84578			0.101700
$784$	−0.142315	+	0.989821i	−0.00508267	+	0.0353508i
$785$	−5.12164	−	11.2148i	−0.182799	−	0.400274i
$786$	2.04997	+	0.601926i	0.0731201	+	0.0214700i
$787$	4.11467	+	4.74859i	0.146672	+	0.169269i	0.824332	−	0.566107i	$-0.191551\pi$
$787$	4.11467	+	4.74859i	0.146672	+	0.169269i	−0.677659	+	0.735376i	$0.737006\pi$
$788$	15.8900	−	4.66573i	0.566058	−	0.166210i
$789$	15.7536	+	10.1242i	0.560844	+	0.360433i
$790$	−13.0094	+	28.4867i	−0.462855	+	1.01351i
$791$	1.12394	−	1.29710i	0.0399628	−	0.0461195i
$792$	−3.35400	+	2.15549i	−0.119179	+	0.0765918i
$793$	−3.55004	−	24.6911i	−0.126066	−	0.876806i
$794$	5.11620	+	35.5839i	0.181567	+	1.26283i
$795$	−12.6637	+	8.13850i	−0.449137	+	0.288643i
$796$	−2.48864	+	2.87205i	−0.0882077	+	0.101797i
$797$	−22.0752	+	48.3380i	−0.781944	+	1.71222i	−0.0835526	+	0.996503i	$0.526627\pi$
$797$	−22.0752	+	48.3380i	−0.781944	+	1.71222i	−0.698392	+	0.715716i	$0.746101\pi$
$798$	−4.29354	−	2.75929i	−0.151990	−	0.0976778i
$799$	0.966645	−	0.283833i	0.0341974	−	0.0100413i
$800$	0.282642	+	0.326186i	0.00999290	+	0.0115324i
$801$	−3.02477	−	0.888151i	−0.106875	−	0.0313813i
$802$	3.13578	+	6.86640i	0.110728	+	0.242461i
$803$	−6.70155	+	46.6103i	−0.236493	+	1.64484i
$804$	−8.77358			−0.309420
$805$	5.24753	+	9.86866i	0.184951	+	0.347824i
$806$	16.0233			0.564396
$807$	1.82927	−	12.7229i	0.0643935	−	0.447866i
$808$	1.09493	+	2.39757i	0.0385196	+	0.0843461i
$809$	1.68727	+	0.495428i	0.0593213	+	0.0174183i	0.311259	−	0.950325i	$-0.399249\pi$
$809$	1.68727	+	0.495428i	0.0593213	+	0.0174183i	−0.251937	+	0.967744i	$0.581068\pi$
$810$	−1.52621	−	1.76134i	−0.0536254	−	0.0618870i
$811$	7.45476	−	2.18891i	0.261772	−	0.0768632i	−0.148213	−	0.988955i	$-0.547352\pi$
$811$	7.45476	−	2.18891i	0.261772	−	0.0768632i	0.409985	+	0.912092i	$0.365534\pi$
$812$	−2.39402	−	1.53854i	−0.0840137	−	0.0539923i
$813$	3.80374	−	8.32902i	0.133403	−	0.292111i
$814$	−25.7072	+	29.6677i	−0.901038	+	1.03985i
$815$	11.1643	−	7.17486i	0.391068	−	0.251324i
$816$	−0.0958936	−	0.666954i	−0.00335695	−	0.0233481i
$817$	2.52085	+	17.5329i	0.0881935	+	0.613400i
$818$	−14.2680	+	9.16950i	−0.498870	+	0.320604i
$819$	1.39298	−	1.60758i	0.0486746	−	0.0561735i
$820$	7.96253	−	17.4355i	0.278064	−	0.608875i
$821$	23.4355	+	15.0611i	0.817905	+	0.525636i	0.881413	−	0.472346i	$-0.156593\pi$
$821$	23.4355	+	15.0611i	0.817905	+	0.525636i	−0.0635085	+	0.997981i	$0.520229\pi$
$822$	−11.9870	+	3.51971i	−0.418096	+	0.122764i
$823$	17.1189	+	19.7563i	0.596729	+	0.688662i	0.971115	−	0.238611i	$-0.0766921\pi$
$823$	17.1189	+	19.7563i	0.596729	+	0.688662i	−0.374386	+	0.927273i	$0.622147\pi$
$824$	−16.4095	−	4.81826i	−0.571652	−	0.167852i
$825$	−0.714835	−	1.56527i	−0.0248874	−	0.0544958i
$826$	0.888007	−	6.17623i	0.0308977	−	0.214898i
$827$	−29.6547			−1.03119			−0.515597	−	0.856831i	$-0.672430\pi$
$827$	−29.6547			−1.03119			−0.515597	+	0.856831i	$0.672430\pi$
$828$	2.91642	−	3.80717i	0.101352	−	0.132308i
$829$	36.6559			1.27311			0.636557	−	0.771230i	$-0.280358\pi$
$829$	36.6559			1.27311			0.636557	+	0.771230i	$0.280358\pi$
$830$	2.04181	−	14.2011i	0.0708724	−	0.492928i
$831$	10.3958	+	22.7637i	0.360627	+	0.789664i
$832$	2.04097	+	0.599284i	0.0707581	+	0.0207764i
$833$	0.441254	+	0.509234i	0.0152885	+	0.0176439i
$834$	−18.8999	+	5.54950i	−0.654449	+	0.192163i
$835$	−16.2140	−	10.4201i	−0.561110	−	0.360603i
$836$	−8.45292	+	18.5093i	−0.292350	+	0.640158i
$837$	4.93293	−	5.69290i	0.170507	−	0.196776i
$838$	31.3242	−	20.1308i	1.08208	−	0.695408i
$839$	1.56166	+	10.8616i	0.0539146	+	0.374984i	0.998859	+	0.0477538i	$0.0152063\pi$
$839$	1.56166	+	10.8616i	0.0539146	+	0.374984i	−0.944945	+	0.327231i	$0.893885\pi$
$840$	0.331676	+	2.30686i	0.0114439	+	0.0795942i
$841$	−17.5835	+	11.3002i	−0.606327	+	0.389663i
$842$	−5.85980	+	6.76256i	−0.201942	+	0.233053i
$843$	−10.1060	+	22.1291i	−0.348070	+	0.762167i
$844$	21.0011	+	13.4966i	0.722887	+	0.464572i
$845$	−18.9522	+	5.56487i	−0.651976	+	0.191437i
$846$	0.979118	+	1.12996i	0.0336628	+	0.0388489i
$847$	−4.69714	−	1.37921i	−0.161396	−	0.0473900i
$848$	−2.68320	−	5.87539i	−0.0921415	−	0.201762i
$849$	0.812472	−	5.65087i	0.0278840	−	0.193937i
$850$	0.290822			0.00997510
$851$	16.9914	−	44.0579i	0.582459	−	1.51029i
$852$	15.5565			0.532956
$853$	−7.85935	+	54.6630i	−0.269099	+	1.87163i	0.187943	+	0.982180i	$0.439818\pi$
$853$	−7.85935	+	54.6630i	−0.269099	+	1.87163i	−0.457042	+	0.889445i	$0.651091\pi$
$854$	4.87158	+	10.6673i	0.166702	+	0.365026i
$855$	−11.4129	−	3.35112i	−0.390311	−	0.114606i
$856$	0.842248	+	0.972006i	0.0287875	+	0.0332225i
$857$	−30.1780	+	8.86107i	−1.03086	+	0.302688i	−0.753061	−	0.657950i	$-0.771424\pi$
$857$	−30.1780	+	8.86107i	−1.03086	+	0.302688i	−0.277801	+	0.960639i	$0.589606\pi$
$858$	−7.13442	−	4.58502i	−0.243565	−	0.156530i
$859$	2.01836	−	4.41960i	0.0688657	−	0.150795i	−0.872069	−	0.489383i	$-0.837222\pi$
$859$	2.01836	−	4.41960i	0.0688657	−	0.150795i	0.940935	+	0.338588i	$0.109949\pi$
$860$	5.29691	−	6.11296i	0.180623	−	0.208450i
$861$	6.91882	−	4.44645i	0.235793	−	0.151535i
$862$	−5.38932	−	37.4836i	−0.183561	−	1.27670i
$863$	3.30820	+	23.0090i	0.112612	+	0.783237i	0.965362	+	0.260916i	$0.0840245\pi$
$863$	3.30820	+	23.0090i	0.112612	+	0.783237i	−0.852749	+	0.522321i	$0.825066\pi$
$864$	0.841254	−	0.540641i	0.0286200	−	0.0183930i
$865$	7.80467	−	9.00707i	0.265367	−	0.306250i
$866$	−0.139367	+	0.305171i	−0.00473588	+	0.0103701i
$867$	13.9194	+	8.94543i	0.472726	+	0.303803i
$868$	−7.22766	+	2.12223i	−0.245323	+	0.0720333i
$869$	35.0830	+	40.4880i	1.19011	+	1.37346i
$870$	−6.36366	−	1.86854i	−0.215748	−	0.0633494i
$871$	−7.75273	−	16.9761i	−0.262691	−	0.575214i
$872$	2.08040	−	14.4695i	0.0704513	−	0.490000i
$873$	16.2478			0.549905
$874$	2.01667	−	24.3934i	0.0682149	−	0.825121i
$875$	10.6470			0.359935
$876$	1.68089	−	11.6908i	0.0567920	−	0.394997i
$877$	8.57987	+	18.7873i	0.289722	+	0.634402i	0.997395	−	0.0721382i	$-0.0229823\pi$
$877$	8.57987	+	18.7873i	0.289722	+	0.634402i	−0.707673	+	0.706540i	$0.750255\pi$
$878$	−6.99582	−	2.05416i	−0.236098	−	0.0693245i
$879$	5.83858	+	6.73808i	0.196930	+	0.227270i
$880$	8.91543	−	2.61781i	0.300539	−	0.0882462i
$881$	−37.1742	−	23.8904i	−1.25243	−	0.804889i	−0.265203	−	0.964193i	$-0.585439\pi$
$881$	−37.1742	−	23.8904i	−1.25243	−	0.804889i	−0.987230	+	0.159303i	$0.949075\pi$
$882$	−0.415415	+	0.909632i	−0.0139878	+	0.0306289i
$883$	12.0208	−	13.8728i	0.404533	−	0.466856i	−0.516530	−	0.856269i	$-0.672777\pi$
$883$	12.0208	−	13.8728i	0.404533	−	0.466856i	0.921063	+	0.389413i	$0.127322\pi$
$884$	1.20576	−	0.774897i	0.0405542	−	0.0260626i
$885$	−2.06957	−	14.3942i	−0.0695679	−	0.483855i
$886$	−1.43268	−	9.96449i	−0.0481317	−	0.334764i
$887$	4.70378	−	3.02294i	0.157938	−	0.101500i	−0.459285	−	0.888289i	$-0.651894\pi$
$887$	4.70378	−	3.02294i	0.157938	−	0.101500i	0.617222	+	0.786789i	$0.288258\pi$
$888$	6.44791	−	7.44128i	0.216378	−	0.249713i
$889$	−7.13861	+	15.6314i	−0.239421	+	0.524260i
$890$	6.18075	+	3.97212i	0.207179	+	0.133146i
$891$	−3.82541	+	1.12324i	−0.128156	+	0.0376300i
$892$	−6.49921	−	7.50049i	−0.217610	−	0.251135i
$893$	7.32177	+	2.14987i	0.245014	+	0.0719425i
$894$	−1.81982	−	3.98485i	−0.0608639	−	0.133273i
$895$	−4.95600	+	34.4697i	−0.165661	+	1.15220i
$896$	−1.00000			−0.0334077
$897$	9.94361	+	2.27883i	0.332008	+	0.0760879i
$898$	−11.8405			−0.395121
$899$	3.05075	−	21.2185i	0.101748	−	0.707675i
$900$	0.179296	+	0.392603i	0.00597652	+	0.0130868i
$901$	−4.17592	−	1.22616i	−0.139120	−	0.0408493i
$902$	−21.4729	−	24.7810i	−0.714969	−	0.825118i
$903$	3.33005	−	0.977792i	0.110817	−	0.0325389i
$904$	1.44385	+	0.927905i	0.0480217	+	0.0308617i
$905$	−14.6042	+	31.9787i	−0.485459	+	1.06301i
$906$	5.07844	−	5.86084i	0.168720	−	0.194713i
$907$	47.9287	−	30.8019i	1.59144	−	1.02276i	0.620271	−	0.784388i	$-0.287023\pi$
$907$	47.9287	−	30.8019i	1.59144	−	1.02276i	0.971174	−	0.238372i	$-0.0766136\pi$
$908$	−1.83980	−	12.7961i	−0.0610560	−	0.424654i
$909$	0.375107	+	2.60893i	0.0124415	+	0.0865327i
$910$	−4.17049	+	2.68021i	−0.138250	+	0.0888481i
$911$	−14.6769	+	16.9381i	−0.486269	+	0.561184i	−0.944865	−	0.327461i	$-0.893807\pi$
$911$	−14.6769	+	16.9381i	−0.486269	+	0.561184i	0.458596	+	0.888645i	$0.348353\pi$
$912$	2.12017	−	4.64252i	0.0702058	−	0.153729i
$913$	−20.6474	−	13.2693i	−0.683329	−	0.439149i
$914$	10.5631	−	3.10160i	0.349396	−	0.102592i
$915$	17.8978	+	20.6552i	0.591684	+	0.682840i
$916$	−9.79965	−	2.87744i	−0.323789	−	0.0950731i
$917$	−0.887541	−	1.94344i	−0.0293092	−	0.0641782i
$918$	0.0958936	−	0.666954i	0.00316496	−	0.0220128i
$919$	38.4730			1.26911			0.634553	−	0.772879i	$-0.281184\pi$
$919$	38.4730			1.26911			0.634553	+	0.772879i	$0.281184\pi$
$920$	−9.02141	+	6.59857i	−0.297427	+	0.217548i
$921$	−24.7124			−0.814300
$922$	1.25430	−	8.72383i	0.0413081	−	0.287304i
$923$	13.7464	+	30.1005i	0.452469	+	0.990768i
$924$	3.82541	+	1.12324i	0.125847	+	0.0369519i
$925$	2.78296	+	3.21170i	0.0915031	+	0.105600i
$926$	22.6293	−	6.64457i	0.743646	−	0.218354i
$927$	−14.3873	−	9.24617i	−0.472542	−	0.303684i
$928$	1.18218	−	2.58861i	0.0388069	−	0.0849753i
$929$	−7.35773	+	8.49128i	−0.241399	+	0.278590i	−0.863501	−	0.504346i	$-0.831733\pi$
$929$	−7.35773	+	8.49128i	−0.241399	+	0.278590i	0.622102	+	0.782936i	$0.286279\pi$
$930$	−14.7689	+	9.49137i	−0.484290	+	0.311234i
$931$	0.726338	+	5.05179i	0.0238048	+	0.165566i
$932$	−1.91064	−	13.2888i	−0.0625852	−	0.435289i
$933$	−20.9196	+	13.4442i	−0.684877	+	0.440143i
$934$	7.74218	−	8.93495i	0.253332	−	0.292360i
$935$	2.60089	−	5.69515i	0.0850582	−	0.186251i
$936$	1.78946	+	1.15002i	0.0584904	+	0.0375895i
$937$	−20.8749	+	6.12943i	−0.681954	+	0.200240i	−0.604320	−	0.796742i	$-0.706555\pi$
$937$	−20.8749	+	6.12943i	−0.681954	+	0.200240i	−0.0776348	+	0.996982i	$0.524737\pi$
$938$	5.74547	+	6.63063i	0.187596	+	0.216498i
$939$	−14.7849	−	4.34123i	−0.482487	−	0.141671i
$940$	−1.44755	−	3.16968i	−0.0472137	−	0.103384i
$941$	−6.77334	+	47.1096i	−0.220805	+	1.53573i	0.514201	+	0.857670i	$0.328088\pi$
$941$	−6.77334	+	47.1096i	−0.220805	+	1.53573i	−0.735006	+	0.678061i	$0.762821\pi$
$942$	5.29008			0.172360
$943$	34.4065	+	19.2856i	1.12043	+	0.628024i
$944$	6.23974			0.203086
$945$	−0.331676	+	2.30686i	−0.0107894	+	0.0750421i
$946$	−5.74815	−	12.5867i	−0.186888	−	0.409228i
$947$	−36.8669	−	10.8251i	−1.19801	−	0.351769i	−0.378921	−	0.925429i	$-0.623705\pi$
$947$	−36.8669	−	10.8251i	−1.19801	−	0.351769i	−0.819093	+	0.573660i	$0.805523\pi$
$948$	−8.79956	−	10.1552i	−0.285796	−	0.329827i
$949$	24.1061	−	7.07818i	0.782516	−	0.229767i
$950$	1.85312	+	1.19093i	0.0601231	+	0.0386387i
$951$	−3.85761	+	8.44698i	−0.125092	+	0.273912i
$952$	−0.441254	+	0.509234i	−0.0143011	+	0.0165044i
$953$	13.7462	−	8.83417i	0.445284	−	0.286167i	−0.298721	−	0.954340i	$-0.596560\pi$
$953$	13.7462	−	8.83417i	0.445284	−	0.286167i	0.744005	+	0.668174i	$0.232924\pi$
$954$	−0.919224	−	6.39334i	−0.0297610	−	0.206992i
$955$	−6.08338	−	42.3109i	−0.196854	−	1.36915i
$956$	−15.6420	+	10.0525i	−0.505900	+	0.325122i
$957$	−7.42996	+	8.57463i	−0.240176	+	0.277178i
$958$	7.98760	−	17.4904i	0.258068	−	0.565089i
$959$	10.5099	+	6.75428i	0.339381	+	0.218107i
$960$	−2.23618	+	0.656600i	−0.0721723	+	0.0211917i
$961$	−16.8580	−	19.4552i	−0.543807	−	0.627587i
$962$	20.0959	+	5.90069i	0.647918	+	0.190246i
$963$	0.534285	+	1.16992i	0.0172171	+	0.0377002i
$964$	−1.18626	+	8.25060i	−0.0382068	+	0.265734i
$965$	−5.48278			−0.176497
$966$	−4.78711	+	0.289083i	−0.154023	+	0.00930110i
$967$	−4.94079			−0.158885			−0.0794425	−	0.996839i	$-0.525314\pi$
$967$	−4.94079			−0.158885			−0.0794425	+	0.996839i	$0.525314\pi$
$968$	0.696694	−	4.84561i	0.0223926	−	0.155744i
$969$	−1.42860	−	3.12819i	−0.0458931	−	0.100492i
$970$	−36.3330	−	10.6683i	−1.16658	−	0.342539i
$971$	−4.95389	−	5.71709i	−0.158978	−	0.183470i	0.670672	−	0.741754i	$-0.266006\pi$
$971$	−4.95389	−	5.71709i	−0.158978	−	0.183470i	−0.829650	+	0.558283i	$0.811460\pi$
$972$	0.959493	−	0.281733i	0.0307758	−	0.00903658i
$973$	16.5708	+	10.6494i	0.531236	+	0.341404i
$974$	−16.6521	+	36.4631i	−0.533569	+	1.16835i
$975$	−0.601218	+	0.693843i	−0.0192544	+	0.0222208i
$976$	−9.86539	+	6.34010i	−0.315784	+	0.202942i
$977$	−4.84209	−	33.6775i	−0.154912	−	1.07744i	−0.907835	−	0.419328i	$-0.862266\pi$
$977$	−4.84209	−	33.6775i	−0.154912	−	1.07744i	0.752923	−	0.658109i	$-0.228643\pi$
$978$	0.810384	+	5.63634i	0.0259132	+	0.180230i
$979$	10.5734	−	6.79509i	0.337926	−	0.217172i
$980$	1.52621	−	1.76134i	0.0487529	−	0.0562638i
$981$	6.07267	−	13.2973i	0.193885	−	0.424550i
$982$	23.6384	+	15.1915i	0.754332	+	0.484780i
$983$	−34.7426	+	10.2013i	−1.10812	+	0.325372i	−0.784072	−	0.620670i	$-0.786861\pi$
$983$	−34.7426	+	10.2013i	−1.10812	+	0.325372i	−0.324044	+	0.946042i	$0.605043\pi$
$984$	5.38585	+	6.21560i	0.171694	+	0.198146i
$985$	−37.0330	−	10.8739i	−1.17997	−	0.346470i
$986$	−0.796568	−	1.74424i	−0.0253679	−	0.0555479i
$987$	0.212783	−	1.47994i	0.00677294	−	0.0471069i
$988$	10.8564			0.345387
$989$	11.6383	+	11.8992i	0.370077	+	0.378374i
$990$	9.29181			0.295313
$991$	0.225185	−	1.56619i	0.00715323	−	0.0497518i	−0.985932	−	0.167146i	$-0.946545\pi$
$991$	0.225185	−	1.56619i	0.00715323	−	0.0497518i	0.993085	+	0.117394i	$0.0374540\pi$
$992$	−3.12923	−	6.85207i	−0.0993533	−	0.217553i
$993$	6.39094	+	1.87655i	0.202810	+	0.0595505i
$994$	−10.1873	−	11.7568i	−0.323123	−	0.372903i
$995$	8.49806	−	2.49526i	0.269407	−	0.0791049i
$996$	5.17880	+	3.32821i	0.164096	+	0.105458i
$997$	14.2691	−	31.2449i	0.451906	−	0.989537i	−0.537352	−	0.843358i	$-0.680575\pi$
$997$	14.2691	−	31.2449i	0.451906	−	0.989537i	0.989258	−	0.146179i	$-0.0466975\pi$
$998$	−9.57343	+	11.0483i	−0.303042	+	0.349729i
$999$	8.28318	−	5.32327i	0.262068	−	0.168421i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.q.h.169.3	✓	30
23.3	even	11	inner	966.2.q.h.463.3	yes	30

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.q.h.169.3	✓	30	1.1	even	1	trivial
966.2.q.h.463.3	yes	30	23.3	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)

\(f(q)\)	\(=\)	\(q+(0.142315 - 0.989821i) q^{2} +(-0.415415 - 0.909632i) q^{3} +(-0.959493 - 0.281733i) q^{4} +(1.52621 + 1.76134i) q^{5} +(-0.959493 + 0.281733i) q^{6} +(0.841254 + 0.540641i) q^{7} +(-0.415415 + 0.909632i) q^{8} +(-0.654861 + 0.755750i) q^{9} +O(q^{10})\)	\(q+(0.142315 - 0.989821i) q^{2} +(-0.415415 - 0.909632i) q^{3} +(-0.959493 - 0.281733i) q^{4} +(1.52621 + 1.76134i) q^{5} +(-0.959493 + 0.281733i) q^{6} +(0.841254 + 0.540641i) q^{7} +(-0.415415 + 0.909632i) q^{8} +(-0.654861 + 0.755750i) q^{9} +(1.96061 - 1.26001i) q^{10} +(-0.567396 - 3.94633i) q^{11} +(0.142315 + 0.989821i) q^{12} +(-1.78946 + 1.15002i) q^{13} +(0.654861 - 0.755750i) q^{14} +(0.968158 - 2.11997i) q^{15} +(0.841254 + 0.540641i) q^{16} +(0.646519 - 0.189835i) q^{17} +(0.654861 + 0.755750i) q^{18} +(4.89700 + 1.43789i) q^{19} +(-0.968158 - 2.11997i) q^{20} +(0.142315 - 0.989821i) q^{21} -3.98691 q^{22} +(4.51176 - 1.62606i) q^{23} +1.00000 q^{24} +(-0.0614240 + 0.427213i) q^{25} +(0.883645 + 1.93491i) q^{26} +(0.959493 + 0.281733i) q^{27} +(-0.654861 - 0.755750i) q^{28} +(2.73050 - 0.801749i) q^{29} +(-1.96061 - 1.26001i) q^{30} +(3.12923 - 6.85207i) q^{31} +(0.654861 - 0.755750i) q^{32} +(-3.35400 + 2.15549i) q^{33} +(-0.0958936 - 0.666954i) q^{34} +(0.331676 + 2.30686i) q^{35} +(0.841254 - 0.540641i) q^{36} +(6.44791 - 7.44128i) q^{37} +(2.12017 - 4.64252i) q^{38} +(1.78946 + 1.15002i) q^{39} +(-2.23618 + 0.656600i) q^{40} +(5.38585 + 6.21560i) q^{41} +(-0.959493 - 0.281733i) q^{42} +(1.44176 + 3.15700i) q^{43} +(-0.567396 + 3.94633i) q^{44} -2.33058 q^{45} +(-0.967418 - 4.69724i) q^{46} +1.49515 q^{47} +(0.142315 - 0.989821i) q^{48} +(0.415415 + 0.909632i) q^{49} +(0.414123 + 0.121597i) q^{50} +(-0.441254 - 0.509234i) q^{51} +(2.04097 - 0.599284i) q^{52} +(-5.43373 - 3.49205i) q^{53} +(0.415415 - 0.909632i) q^{54} +(6.08484 - 7.02228i) q^{55} +(-0.841254 + 0.540641i) q^{56} +(-0.726338 - 5.05179i) q^{57} +(-0.404997 - 2.81681i) q^{58} +(5.24920 - 3.37346i) q^{59} +(-1.52621 + 1.76134i) q^{60} +(-4.87158 + 10.6673i) q^{61} +(-6.33699 - 4.07253i) q^{62} +(-0.959493 + 0.281733i) q^{63} +(-0.654861 - 0.755750i) q^{64} +(-4.75666 - 1.39668i) q^{65} +(1.65622 + 3.62662i) q^{66} +(-1.24861 + 8.68428i) q^{67} -0.673813 q^{68} +(-3.35337 - 3.42855i) q^{69} +2.33058 q^{70} +(2.21392 - 15.3981i) q^{71} +(-0.415415 - 0.909632i) q^{72} +(-11.3326 - 3.32756i) q^{73} +(-6.44791 - 7.44128i) q^{74} +(0.414123 - 0.121597i) q^{75} +(-4.29354 - 2.75929i) q^{76} +(1.65622 - 3.62662i) q^{77} +(1.39298 - 1.60758i) q^{78} +(-11.3042 + 7.26475i) q^{79} +(0.331676 + 2.30686i) q^{80} +(-0.142315 - 0.989821i) q^{81} +(6.91882 - 4.44645i) q^{82} +(4.03135 - 4.65243i) q^{83} +(-0.415415 + 0.909632i) q^{84} +(1.32108 + 0.849009i) q^{85} +(3.33005 - 0.977792i) q^{86} +(-1.86359 - 2.15070i) q^{87} +(3.82541 + 1.12324i) q^{88} +(1.30958 + 2.86758i) q^{89} +(-0.331676 + 2.30686i) q^{90} -2.12714 q^{91} +(-4.78711 + 0.289083i) q^{92} -7.53279 q^{93} +(0.212783 - 1.47994i) q^{94} +(4.94123 + 10.8198i) q^{95} +(-0.959493 - 0.281733i) q^{96} +(-10.6401 - 12.2793i) q^{97} +(0.959493 - 0.281733i) q^{98} +(3.35400 + 2.15549i) 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	\( 30 q + 3 q^{2} + 3 q^{3} - 3 q^{4} + 10 q^{5} - 3 q^{6} - 3 q^{7} + 3 q^{8} - 3 q^{9} + 12 q^{10} + 9 q^{11} + 3 q^{12} - 12 q^{13} + 3 q^{14} + q^{15} - 3 q^{16} + 13 q^{17} + 3 q^{18} - 18 q^{19} - q^{20} + 3 q^{21} + 24 q^{22} + 21 q^{23} + 30 q^{24} - 3 q^{25} + 34 q^{26} + 3 q^{27} - 3 q^{28} - 11 q^{29} - 12 q^{30} + 7 q^{31} + 3 q^{32} + 2 q^{33} - 13 q^{34} - q^{35} - 3 q^{36} + 3 q^{37} - 15 q^{38} + 12 q^{39} + q^{40} + 15 q^{41} - 3 q^{42} + 42 q^{43} + 9 q^{44} + 10 q^{45} + q^{46} + 12 q^{47} + 3 q^{48} - 3 q^{49} - 30 q^{50} + 9 q^{51} - q^{52} - 28 q^{53} - 3 q^{54} + 4 q^{55} + 3 q^{56} - 4 q^{57} - 11 q^{58} + 3 q^{59} - 10 q^{60} - 2 q^{61} + 26 q^{62} - 3 q^{63} - 3 q^{64} - 70 q^{65} - 2 q^{66} + 24 q^{67} + 2 q^{68} + q^{69} - 10 q^{70} - 3 q^{71} + 3 q^{72} - 7 q^{73} - 3 q^{74} - 30 q^{75} - 18 q^{76} - 2 q^{77} + 10 q^{78} - 32 q^{79} - q^{80} - 3 q^{81} - 26 q^{82} + 8 q^{83} + 3 q^{84} - 39 q^{85} + 35 q^{86} - 11 q^{87} + 13 q^{88} + 50 q^{89} + q^{90} + 32 q^{91} - 12 q^{92} + 4 q^{93} + 10 q^{94} + 73 q^{95} - 3 q^{96} + 24 q^{97} + 3 q^{98} - 2 q^{99}+O(q^{100}) \) 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 + 13 * q^17 + 3 * q^18 - 18 * q^19 - q^20 + 3 * q^21 + 24 * q^22 + 21 * q^23 + 30 * q^24 - 3 * q^25 + 34 * q^26 + 3 * q^27 - 3 * q^28 - 11 * q^29 - 12 * q^30 + 7 * q^31 + 3 * q^32 + 2 * q^33 - 13 * q^34 - q^35 - 3 * q^36 + 3 * q^37 - 15 * q^38 + 12 * q^39 + q^40 + 15 * q^41 - 3 * q^42 + 42 * q^43 + 9 * q^44 + 10 * q^45 + q^46 + 12 * q^47 + 3 * q^48 - 3 * q^49 - 30 * q^50 + 9 * q^51 - q^52 - 28 * q^53 - 3 * q^54 + 4 * q^55 + 3 * q^56 - 4 * q^57 - 11 * q^58 + 3 * q^59 - 10 * q^60 - 2 * q^61 + 26 * q^62 - 3 * q^63 - 3 * q^64 - 70 * q^65 - 2 * q^66 + 24 * q^67 + 2 * q^68 + q^69 - 10 * q^70 - 3 * q^71 + 3 * q^72 - 7 * q^73 - 3 * q^74 - 30 * q^75 - 18 * q^76 - 2 * q^77 + 10 * q^78 - 32 * q^79 - q^80 - 3 * q^81 - 26 * q^82 + 8 * q^83 + 3 * q^84 - 39 * q^85 + 35 * q^86 - 11 * q^87 + 13 * q^88 + 50 * q^89 + q^90 + 32 * q^91 - 12 * q^92 + 4 * q^93 + 10 * q^94 + 73 * q^95 - 3 * q^96 + 24 * q^97 + 3 * q^98 - 2 * q^99

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