LMFDB - Embedded newform 252.2.bj.b.103.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [252,2,Mod(103,252)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(252, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 2, 5]))

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

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

chi := DirichletCharacter("252.103");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 252 = 2^{2} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	252.bj (of order $6$, degree $2$, 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:	$2.01223013094$
Analytic rank:	$0$
Dimension:	$84$
Relative dimension:	$42$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			103.3
Character	$\chi$	$=$	252.103
Dual form			252.2.bj.b.115.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.40719 - 0.140755i) q^{2} +(1.46735 - 0.920267i) q^{3} +(1.96038 + 0.396138i) q^{4} +(0.259273 - 0.149691i) q^{5} +(-2.19437 + 1.08846i) q^{6} +(0.0899789 - 2.64422i) q^{7} +(-2.70287 - 0.833374i) q^{8} +(1.30622 - 2.70070i) q^{9} +O(q^{10})$	\(q+(-1.40719 - 0.140755i) q^{2} +(1.46735 - 0.920267i) q^{3} +(1.96038 + 0.396138i) q^{4} +(0.259273 - 0.149691i) q^{5} +(-2.19437 + 1.08846i) q^{6} +(0.0899789 - 2.64422i) q^{7} +(-2.70287 - 0.833374i) q^{8} +(1.30622 - 2.70070i) q^{9} +(-0.385916 + 0.174150i) q^{10} +(0.0516032 + 0.0297931i) q^{11} +(3.24111 - 1.22280i) q^{12} +(1.63268 + 0.942631i) q^{13} +(-0.498804 + 3.70826i) q^{14} +(0.242688 - 0.458249i) q^{15} +(3.68615 + 1.55316i) q^{16} +(-5.35164 + 3.08977i) q^{17} +(-2.21824 + 3.61655i) q^{18} +(2.06839 - 3.58256i) q^{19} +(0.567571 - 0.190743i) q^{20} +(-2.30136 - 3.96280i) q^{21} +(-0.0684221 - 0.0491880i) q^{22} +(4.99685 - 2.88493i) q^{23} +(-4.73297 + 1.26451i) q^{24} +(-2.45519 + 4.25251i) q^{25} +(-2.16482 - 1.55627i) q^{26} +(-0.568688 - 5.16494i) q^{27} +(1.22387 - 5.14802i) q^{28} +(-1.70505 - 2.95324i) q^{29} +(-0.406009 + 0.610685i) q^{30} +6.28615 q^{31} +(-4.96850 - 2.70444i) q^{32} +(0.103137 - 0.00377183i) q^{33} +(7.96568 - 3.59463i) q^{34} +(-0.372488 - 0.699044i) q^{35} +(3.63053 - 4.77695i) q^{36} +(1.19559 - 2.07083i) q^{37} +(-3.41488 + 4.75021i) q^{38} +(3.26319 - 0.119338i) q^{39} +(-0.825529 + 0.188524i) q^{40} +(9.16797 + 5.29313i) q^{41} +(2.68067 + 5.90034i) q^{42} +(-8.50766 + 4.91190i) q^{43} +(0.0893595 + 0.0788477i) q^{44} +(-0.0656043 - 0.895748i) q^{45} +(-7.43759 + 3.35632i) q^{46} -3.91588 q^{47} +(6.83818 - 1.11322i) q^{48} +(-6.98381 - 0.475848i) q^{49} +(4.05348 - 5.63851i) q^{50} +(-5.00930 + 9.45870i) q^{51} +(2.82726 + 2.49468i) q^{52} +(3.44447 + 5.96600i) q^{53} +(0.0732630 + 7.34810i) q^{54} +0.0178391 q^{55} +(-2.44683 + 7.07199i) q^{56} +(-0.261859 - 7.16033i) q^{57} +(1.98365 + 4.39577i) q^{58} -0.893223 q^{59} +(0.657289 - 0.802203i) q^{60} +7.83832i q^{61} +(-8.84582 - 0.884806i) q^{62} +(-7.02372 - 3.69694i) q^{63} +(6.61097 + 4.50500i) q^{64} +0.564414 q^{65} +(-0.145665 - 0.00920941i) q^{66} +11.3594i q^{67} +(-11.7152 + 3.93712i) q^{68} +(4.67721 - 8.83163i) q^{69} +(0.425768 + 1.03612i) q^{70} +1.25627i q^{71} +(-5.78123 + 6.21107i) q^{72} +(-6.43167 + 3.71333i) q^{73} +(-1.97391 + 2.74576i) q^{74} +(0.310828 + 8.49933i) q^{75} +(5.47401 - 6.20379i) q^{76} +(0.0834228 - 0.133770i) q^{77} +(-4.60873 - 0.291379i) q^{78} +1.54920i q^{79} +(1.18821 - 0.149092i) q^{80} +(-5.58758 - 7.05542i) q^{81} +(-12.1561 - 8.73889i) q^{82} +(4.61172 + 7.98773i) q^{83} +(-2.94171 - 8.68023i) q^{84} +(-0.925022 + 1.60219i) q^{85} +(12.6633 - 5.71449i) q^{86} +(-5.21968 - 2.76433i) q^{87} +(-0.114648 - 0.123532i) q^{88} +(8.82012 + 5.09230i) q^{89} +(-0.0337630 + 1.26972i) q^{90} +(2.63943 - 4.23236i) q^{91} +(10.9385 - 3.67611i) q^{92} +(9.22397 - 5.78493i) q^{93} +(5.51039 + 0.551178i) q^{94} -1.23848i q^{95} +(-9.77932 + 0.604000i) q^{96} +(-2.40408 + 1.38800i) q^{97} +(9.76058 + 1.65261i) q^{98} +(0.147867 - 0.100449i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 84 q + 2 q^{2} - 2 q^{4} + 6 q^{5} - 16 q^{8} + 4 q^{9}+O(q^{10}) $ 84 * q + 2 * q^2 - 2 * q^4 + 6 * q^5 - 16 * q^8 + 4 * q^9	$ 84 q + 2 q^{2} - 2 q^{4} + 6 q^{5} - 16 q^{8} + 4 q^{9} - 18 q^{10} - 6 q^{12} + 18 q^{13} + 14 q^{14} + 14 q^{16} + 6 q^{17} - 10 q^{18} - 24 q^{20} + 4 q^{21} + 6 q^{22} - 6 q^{24} + 16 q^{25} - 30 q^{26} - 4 q^{28} + 10 q^{29} + 11 q^{30} - 18 q^{32} - 18 q^{33} - 24 q^{34} - 38 q^{36} + 2 q^{37} + 33 q^{38} + 6 q^{40} + 6 q^{41} - 38 q^{42} - 13 q^{44} - 54 q^{45} + 10 q^{46} + 9 q^{48} - 28 q^{49} - 17 q^{50} - 27 q^{52} - 2 q^{53} - 39 q^{54} + 58 q^{56} + 6 q^{57} - 13 q^{58} - 31 q^{60} - 8 q^{64} - 100 q^{65} + 30 q^{66} - 18 q^{68} - 18 q^{69} - 19 q^{70} + 26 q^{72} + 30 q^{73} - 23 q^{74} - 2 q^{77} + 15 q^{78} + 3 q^{80} - 32 q^{81} - 18 q^{82} + 23 q^{84} - 50 q^{85} - 9 q^{86} + q^{88} - 102 q^{89} - 39 q^{90} + 28 q^{92} - 36 q^{93} + 63 q^{96} + 6 q^{97} + 21 q^{98}+O(q^{100}) $ 84 * q + 2 * q^2 - 2 * q^4 + 6 * q^5 - 16 * q^8 + 4 * q^9 - 18 * q^10 - 6 * q^12 + 18 * q^13 + 14 * q^14 + 14 * q^16 + 6 * q^17 - 10 * q^18 - 24 * q^20 + 4 * q^21 + 6 * q^22 - 6 * q^24 + 16 * q^25 - 30 * q^26 - 4 * q^28 + 10 * q^29 + 11 * q^30 - 18 * q^32 - 18 * q^33 - 24 * q^34 - 38 * q^36 + 2 * q^37 + 33 * q^38 + 6 * q^40 + 6 * q^41 - 38 * q^42 - 13 * q^44 - 54 * q^45 + 10 * q^46 + 9 * q^48 - 28 * q^49 - 17 * q^50 - 27 * q^52 - 2 * q^53 - 39 * q^54 + 58 * q^56 + 6 * q^57 - 13 * q^58 - 31 * q^60 - 8 * q^64 - 100 * q^65 + 30 * q^66 - 18 * q^68 - 18 * q^69 - 19 * q^70 + 26 * q^72 + 30 * q^73 - 23 * q^74 - 2 * q^77 + 15 * q^78 + 3 * q^80 - 32 * q^81 - 18 * q^82 + 23 * q^84 - 50 * q^85 - 9 * q^86 + q^88 - 102 * q^89 - 39 * q^90 + 28 * q^92 - 36 * q^93 + 63 * q^96 + 6 * q^97 + 21 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/252\mathbb{Z}\right)^\times$.

$n$	$29$	$73$	$127$
$\chi(n)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{5}{6}\right)$	$-1$

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 $

$2$	−1.40719	−	0.140755i	−0.995035	−	0.0995287i
$2$	−1.40719	−	0.140755i	−0.995035	−	0.0995287i
$3$	1.46735	−	0.920267i	0.847174	−	0.531316i
$3$	1.46735	−	0.920267i	0.847174	−	0.531316i
$4$	1.96038	+	0.396138i	0.980188	+	0.198069i
$5$	0.259273	−	0.149691i	0.115950	−	0.0669440i	−0.440903	−	0.897555i	$-0.645342\pi$
$5$	0.259273	−	0.149691i	0.115950	−	0.0669440i	0.556854	+	0.830611i	$0.312008\pi$
$6$	−2.19437	+	1.08846i	−0.895848	+	0.444360i
$7$	0.0899789	−	2.64422i	0.0340088	−	0.999422i
$7$	0.0899789	−	2.64422i	0.0340088	−	0.999422i
$8$	−2.70287	−	0.833374i	−0.955608	−	0.294642i
$9$	1.30622	−	2.70070i	0.435406	−	0.900234i
$10$	−0.385916	+	0.174150i	−0.122037	+	0.0550712i
$11$	0.0516032	+	0.0297931i	0.0155590	+	0.00898297i	0.507759	−	0.861499i	$-0.330474\pi$
$11$	0.0516032	+	0.0297931i	0.0155590	+	0.00898297i	−0.492200	+	0.870482i	$0.663807\pi$
$12$	3.24111	−	1.22280i	0.935627	−	0.352991i
$13$	1.63268	+	0.942631i	0.452825	+	0.261439i	0.709023	−	0.705186i	$-0.249136\pi$
$13$	1.63268	+	0.942631i	0.452825	+	0.261439i	−0.256197	+	0.966624i	$0.582470\pi$
$14$	−0.498804	+	3.70826i	−0.133311	+	0.991074i
$15$	0.242688	−	0.458249i	0.0626617	−	0.118319i
$16$	3.68615	+	1.55316i	0.921537	+	0.388290i
$17$	−5.35164	+	3.08977i	−1.29796	+	0.749379i	−0.980052	−	0.198742i	$-0.936314\pi$
$17$	−5.35164	+	3.08977i	−1.29796	+	0.749379i	−0.317910	+	0.948121i	$0.602981\pi$
$18$	−2.21824	+	3.61655i	−0.522844	+	0.852429i
$19$	2.06839	−	3.58256i	0.474521	−	0.821895i	−0.525053	−	0.851069i	$-0.675955\pi$
$19$	2.06839	−	3.58256i	0.474521	−	0.821895i	0.999574	+	0.0291746i	$0.00928788\pi$
$20$	0.567571	−	0.190743i	0.126913	−	0.0426515i
$21$	−2.30136	−	3.96280i	−0.502197	−	0.864753i
$22$	−0.0684221	−	0.0491880i	−0.0145876	−	0.0104869i
$23$	4.99685	−	2.88493i	1.04191	−	0.601550i	0.121539	−	0.992587i	$-0.461217\pi$
$23$	4.99685	−	2.88493i	1.04191	−	0.601550i	0.920375	+	0.391037i	$0.127884\pi$
$24$	−4.73297	+	1.26451i	−0.966114	+	0.258116i
$25$	−2.45519	+	4.25251i	−0.491037	+	0.850501i
$26$	−2.16482	−	1.55627i	−0.424556	−	0.305210i
$27$	−0.568688	−	5.16494i	−0.109444	−	0.993993i
$28$	1.22387	−	5.14802i	0.231289	−	0.972885i
$29$	−1.70505	−	2.95324i	−0.316621	−	0.548403i	0.663160	−	0.748478i	$-0.269215\pi$
$29$	−1.70505	−	2.95324i	−0.316621	−	0.548403i	−0.979781	+	0.200075i	$0.935882\pi$
$30$	−0.406009	+	0.610685i	−0.0741267	+	0.111495i
$31$	6.28615			1.12903			0.564513	−	0.825424i	$-0.309064\pi$
$31$	6.28615			1.12903			0.564513	+	0.825424i	$0.309064\pi$
$32$	−4.96850	−	2.70444i	−0.878316	−	0.478081i
$33$	0.103137	−	0.00377183i	0.0179539	−	0.000656591i
$34$	7.96568	−	3.59463i	1.36610	−	0.616474i
$35$	−0.372488	−	0.699044i	−0.0629619	−	0.118160i
$36$	3.63053	−	4.77695i	0.605089	−	0.796158i
$37$	1.19559	−	2.07083i	0.196554	−	0.340442i	−0.750855	−	0.660467i	$-0.770358\pi$
$37$	1.19559	−	2.07083i	0.196554	−	0.340442i	0.947409	+	0.320026i	$0.103692\pi$
$38$	−3.41488	+	4.75021i	−0.553967	+	0.770585i
$39$	3.26319	−	0.119338i	0.522528	−	0.0191093i
$40$	−0.825529	+	0.188524i	−0.130528	+	0.0298083i
$41$	9.16797	+	5.29313i	1.43180	+	0.826648i	0.997258	−	0.0740049i	$-0.0235781\pi$
$41$	9.16797	+	5.29313i	1.43180	+	0.826648i	0.434539	+	0.900653i	$0.356911\pi$
$42$	2.68067	+	5.90034i	0.413636	+	0.910442i
$43$	−8.50766	+	4.91190i	−1.29741	+	0.749058i	−0.979955	−	0.199217i	$-0.936160\pi$
$43$	−8.50766	+	4.91190i	−1.29741	+	0.749058i	−0.317450	+	0.948275i	$0.602827\pi$
$44$	0.0893595	+	0.0788477i	0.0134715	+	0.0118867i
$45$	−0.0656043	−	0.895748i	−0.00977971	−	0.133530i
$46$	−7.43759	+	3.35632i	−1.09661	+	0.494862i
$47$	−3.91588			−0.571189			−0.285595	−	0.958351i	$-0.592191\pi$
$47$	−3.91588			−0.571189			−0.285595	+	0.958351i	$0.592191\pi$
$48$	6.83818	−	1.11322i	0.987007	−	0.160679i
$49$	−6.98381	−	0.475848i	−0.997687	−	0.0679783i
$50$	4.05348	−	5.63851i	0.573248	−	0.797406i
$51$	−5.00930	+	9.45870i	−0.701442	+	1.32448i
$52$	2.82726	+	2.49468i	0.392071	+	0.345950i
$53$	3.44447	+	5.96600i	0.473135	+	0.819494i	0.999527	−	0.0307482i	$-0.00978899\pi$
$53$	3.44447	+	5.96600i	0.473135	+	0.819494i	−0.526392	+	0.850242i	$0.676456\pi$
$54$	0.0732630	+	7.34810i	0.00996983	+	0.999950i
$55$	0.0178391			0.00240542
$56$	−2.44683	+	7.07199i	−0.326971	+	0.945034i
$57$	−0.261859	−	7.16033i	−0.0346841	−	0.948408i
$58$	1.98365	+	4.39577i	0.260467	+	0.577193i
$59$	−0.893223			−0.116288			−0.0581439	−	0.998308i	$-0.518518\pi$
$59$	−0.893223			−0.116288			−0.0581439	+	0.998308i	$0.518518\pi$
$60$	0.657289	−	0.802203i	0.0848556	−	0.103564i
$61$			7.83832i			1.00359i	0.864986	+	0.501797i	$0.167327\pi$
$61$			7.83832i			1.00359i	−0.864986	+	0.501797i	$0.832673\pi$
$62$	−8.84582	−	0.884806i	−1.12342	−	0.112370i
$63$	−7.02372	−	3.69694i	−0.884906	−	0.465770i
$64$	6.61097	+	4.50500i	0.826372	+	0.563125i
$65$	0.564414			0.0700070
$66$	−0.145665	−	0.00920941i	−0.0179301	−	0.00113360i
$67$			11.3594i			1.38777i	0.720086	+	0.693885i	$0.244102\pi$
$67$			11.3594i			1.38777i	−0.720086	+	0.693885i	$0.755898\pi$
$68$	−11.7152	+	3.93712i	−1.42068	+	0.477446i
$69$	4.67721	−	8.83163i	0.563069	−	1.06320i
$70$	0.425768	+	1.03612i	0.0508890	+	0.123840i
$71$			1.25627i			0.149092i	0.997218	+	0.0745461i	$0.0237508\pi$
$71$			1.25627i			0.149092i	−0.997218	+	0.0745461i	$0.976249\pi$
$72$	−5.78123	+	6.21107i	−0.681325	+	0.731981i
$73$	−6.43167	+	3.71333i	−0.752770	+	0.434612i	−0.826694	−	0.562652i	$-0.809781\pi$
$73$	−6.43167	+	3.71333i	−0.752770	+	0.434612i	0.0739240	+	0.997264i	$0.476448\pi$
$74$	−1.97391	+	2.74576i	−0.229462	+	0.319189i
$75$	0.310828	+	8.49933i	0.0358913	+	0.981418i
$76$	5.47401	−	6.20379i	0.627912	−	0.711624i
$77$	0.0834228	−	0.133770i	0.00950691	−	0.0152445i
$78$	−4.60873	−	0.291379i	−0.521836	−	0.0329921i
$79$			1.54920i			0.174298i	0.996195	+	0.0871491i	$0.0277757\pi$
$79$			1.54920i			0.174298i	−0.996195	+	0.0871491i	$0.972224\pi$
$80$	1.18821	−	0.149092i	0.132846	−	0.0166690i
$81$	−5.58758	−	7.05542i	−0.620843	−	0.783935i
$82$	−12.1561	−	8.73889i	−1.34241	−	0.965048i
$83$	4.61172	+	7.98773i	0.506202	+	0.876767i	0.999974	+	0.00717577i	$0.00228414\pi$
$83$	4.61172	+	7.98773i	0.506202	+	0.876767i	−0.493773	+	0.869591i	$0.664383\pi$
$84$	−2.94171	−	8.68023i	−0.320967	−	0.947090i
$85$	−0.925022	+	1.60219i	−0.100333	+	0.173781i
$86$	12.6633	−	5.71449i	1.36552	−	0.616209i
$87$	−5.21968	−	2.76433i	−0.559608	−	0.296367i
$88$	−0.114648	−	0.123532i	−0.0122215	−	0.0131685i
$89$	8.82012	+	5.09230i	0.934931	+	0.539783i	0.888368	−	0.459133i	$-0.151840\pi$
$89$	8.82012	+	5.09230i	0.934931	+	0.539783i	0.0465634	+	0.998915i	$0.485173\pi$
$90$	−0.0337630	+	1.26972i	−0.00355894	+	0.133841i
$91$	2.63943	−	4.23236i	0.276688	−	0.443672i
$92$	10.9385	−	3.67611i	1.14042	−	0.383261i
$93$	9.22397	−	5.78493i	0.956481	−	0.599870i
$94$	5.51039	+	0.551178i	0.568353	+	0.0568497i
$95$		−	1.23848i		−	0.127065i
$96$	−9.77932	+	0.604000i	−0.998098	+	0.0616455i
$97$	−2.40408	+	1.38800i	−0.244098	+	0.140930i	−0.617059	−	0.786917i	$-0.711676\pi$
$97$	−2.40408	+	1.38800i	−0.244098	+	0.140930i	0.372961	+	0.927847i	$0.378343\pi$
$98$	9.76058	+	1.65261i	0.985967	+	0.166939i
$99$	0.147867	−	0.100449i	0.0148612	−	0.0100955i
$100$	−6.49767	+	7.36392i	−0.649767	+	0.736392i
$101$	7.92056	+	4.57294i	0.788125	+	0.455024i	0.839302	−	0.543665i	$-0.182964\pi$
$101$	7.92056	+	4.57294i	0.788125	+	0.455024i	−0.0511770	+	0.998690i	$0.516297\pi$
$102$	8.38040	−	12.6051i	0.829783	−	1.24809i
$103$	−1.76575	−	3.05836i	−0.173984	−	0.301349i	0.765825	−	0.643049i	$-0.222331\pi$
$103$	−1.76575	−	3.05836i	−0.173984	−	0.301349i	−0.939809	+	0.341700i	$0.888997\pi$
$104$	−3.62736	−	3.90844i	−0.355692	−	0.383254i
$105$	−1.18988	−	0.682952i	−0.116120	−	0.0666493i
$106$	−4.00729	−	8.88014i	−0.389223	−	0.862515i
$107$	−13.6356	−	7.87251i	−1.31820	−	0.761064i	−0.334763	−	0.942302i	$-0.608656\pi$
$107$	−13.6356	−	7.87251i	−1.31820	−	0.761064i	−0.983439	+	0.181238i	$0.941990\pi$
$108$	0.931186	−	10.3505i	0.0896034	−	0.995978i
$109$	2.10955	+	3.65384i	0.202058	+	0.349975i	0.949191	−	0.314699i	$-0.101904\pi$
$109$	2.10955	+	3.65384i	0.202058	+	0.349975i	−0.747133	+	0.664674i	$0.768570\pi$
$110$	−0.0251030	−	0.00251094i	−0.00239348	−	0.000239408i
$111$	−0.151363	−	4.13889i	−0.0143667	−	0.392846i
$112$	4.43857	−	9.60724i	0.419406	−	0.907799i
$113$	1.55133	−	2.68699i	0.145937	−	0.252771i	−0.783785	−	0.621032i	$-0.786714\pi$
$113$	1.55133	−	2.68699i	0.145937	−	0.252771i	0.929722	+	0.368262i	$0.120047\pi$
$114$	−0.639364	+	10.1128i	−0.0598819	+	0.947151i
$115$	0.863698	−	1.49597i	0.0805402	−	0.139500i
$116$	−2.17266	−	6.46490i	−0.201726	−	0.600251i
$117$	4.67841	−	3.17811i	0.432519	−	0.293817i
$118$	1.25694	+	0.125725i	0.115710	+	0.0115740i
$119$	7.68850	+	14.4289i	0.704803	+	1.32270i
$120$	−1.03785	+	1.03634i	−0.0947419	+	0.0946042i
$121$	−5.49822	−	9.52320i	−0.499839	−	0.865746i
$122$	1.10328	−	11.0300i	0.0998863	−	0.998610i
$123$	18.3237	−	0.670113i	1.65219	−	0.0604221i
$124$	12.3232	+	2.49018i	1.10666	+	0.223625i
$125$			2.96699i			0.265376i
$126$	9.36336	+	6.19092i	0.834154	+	0.551531i
$127$		−	16.0235i		−	1.42186i	−0.703264	−	0.710928i	$-0.748275\pi$
$127$		−	16.0235i		−	1.42186i	0.703264	−	0.710928i	$-0.251725\pi$
$128$	−8.66881	−	7.26992i	−0.766221	−	0.642577i
$129$	−7.96344	+	15.0368i	−0.701142	+	1.32391i
$130$	−0.794239	−	0.0794440i	−0.0696594	−	0.00696770i
$131$	−1.74836	−	3.02824i	−0.152755	−	0.264579i	0.779484	−	0.626422i	$-0.215481\pi$
$131$	−1.74836	−	3.02824i	−0.152755	−	0.264579i	−0.932239	+	0.361843i	$0.882148\pi$
$132$	0.203682	+	0.0334625i	0.0177283	+	0.00291253i
$133$	−9.28696	−	5.79163i	−0.805282	−	0.502198i
$134$	1.59889	−	15.9848i	0.138123	−	1.38088i
$135$	−0.920591	−	1.25400i	−0.0792319	−	0.107927i
$136$	17.0397	−	3.89131i	1.46114	−	0.333678i
$137$	4.73790	−	8.20629i	0.404787	−	0.701111i	−0.589510	−	0.807761i	$-0.700679\pi$
$137$	4.73790	−	8.20629i	0.404787	−	0.701111i	0.994297	+	0.106650i	$0.0340125\pi$
$138$	−7.82482	+	11.7695i	−0.666093	+	1.00188i
$139$	−10.2899	+	17.8226i	−0.872776	+	1.51169i	−0.0136624	+	0.999907i	$0.504349\pi$
$139$	−10.2899	+	17.8226i	−0.872776	+	1.51169i	−0.859113	+	0.511785i	$0.828984\pi$
$140$	−0.453298	−	1.51794i	−0.0383107	−	0.128290i
$141$	−5.74595	+	3.60365i	−0.483896	+	0.303482i
$142$	0.176826	−	1.76782i	0.0148389	−	0.148352i
$143$	0.0561678	+	0.0972856i	0.00469699	+	0.00813543i
$144$	9.00954	−	7.92643i	0.750795	−	0.660535i
$145$	−0.884148	−	0.510463i	−0.0734245	−	0.0423917i
$146$	9.57326	−	4.32007i	0.792288	−	0.357532i
$147$	−10.6856	+	5.72873i	−0.881332	+	0.472498i
$148$	3.16414	−	3.58598i	0.260091	−	0.294766i
$149$	−1.74161	−	3.01656i	−0.142678	−	0.247126i	0.785826	−	0.618448i	$-0.212238\pi$
$149$	−1.74161	−	3.01656i	−0.142678	−	0.247126i	−0.928504	+	0.371321i	$0.878905\pi$
$150$	0.758927	−	12.0039i	0.0619661	−	0.980117i
$151$	−10.8493	−	6.26385i	−0.882904	−	0.509745i	−0.0112891	−	0.999936i	$-0.503594\pi$
$151$	−10.8493	−	6.26385i	−0.882904	−	0.509745i	−0.871615	+	0.490191i	$0.836927\pi$
$152$	−8.57619	+	7.95943i	−0.695621	+	0.645595i
$153$	1.35414	+	18.4891i	0.109475	+	1.49475i
$154$	−0.136221	+	0.176497i	−0.0109770	+	0.0142225i
$155$	1.62983	−	0.940982i	0.130911	−	0.0755815i
$156$	6.44435	+	1.05873i	0.515961	+	0.0847659i
$157$		−	2.95268i		−	0.235650i	−0.993034	−	0.117825i	$-0.962408\pi$
$157$		−	2.95268i		−	0.235650i	0.993034	−	0.117825i	$-0.0375921\pi$
$158$	0.218057	−	2.18002i	0.0173477	−	0.173433i
$159$	10.5446	+	5.58437i	0.836238	+	0.442869i
$160$	−1.69303	+	0.0425549i	−0.133846	+	0.00336426i
$161$	−7.17878	−	13.4723i	−0.565767	−	1.06177i
$162$	6.86972	+	10.7148i	0.539736	+	0.841834i
$163$	12.0459	+	6.95471i	0.943509	+	0.544735i	0.891058	−	0.453888i	$-0.149964\pi$
$163$	12.0459	+	6.95471i	0.943509	+	0.544735i	0.0524503	+	0.998624i	$0.483297\pi$
$164$	15.8759	+	14.0083i	1.23970	+	1.09387i
$165$	0.0261761	−	0.0164167i	0.00203781	−	0.00127804i
$166$	−5.36526	−	11.8894i	−0.416425	−	0.922795i
$167$	6.68416	−	11.5773i	0.517236	−	0.895879i	−0.482563	−	0.875861i	$-0.660294\pi$
$167$	6.68416	−	11.5773i	0.517236	−	0.895879i	0.999800	−	0.0200183i	$-0.00637243\pi$
$168$	2.91777	+	12.6288i	0.225111	+	0.974333i
$169$	−4.72289	−	8.18029i	−0.363300	−	0.629253i
$170$	1.52720	−	2.12438i	0.117131	−	0.162933i
$171$	−6.97365	−	10.2657i	−0.533288	−	0.785038i
$172$	−18.6240	+	6.25896i	−1.42007	+	0.477241i
$173$			4.81127i			0.365794i	0.983132	+	0.182897i	$0.0585475\pi$
$173$			4.81127i			0.365794i	−0.983132	+	0.182897i	$0.941453\pi$
$174$	6.95599	+	4.62463i	0.527332	+	0.350592i
$175$	11.0236	+	6.87469i	0.833309	+	0.519678i
$176$	0.143944	+	0.189970i	0.0108502	+	0.0143195i
$177$	−1.31067	+	0.822003i	−0.0985159	+	0.0617856i
$178$	−11.6948	−	8.40732i	−0.876565	−	0.630155i
$179$	−9.04033	+	5.21944i	−0.675706	+	0.390119i	−0.798235	−	0.602346i	$-0.794233\pi$
$179$	−9.04033	+	5.21944i	−0.675706	+	0.390119i	0.122529	+	0.992465i	$0.460900\pi$
$180$	0.226231	−	1.78199i	0.0168622	−	0.132822i
$181$			13.3604i			0.993072i	0.868016	+	0.496536i	$0.165395\pi$
$181$			13.3604i			0.993072i	−0.868016	+	0.496536i	$0.834605\pi$
$182$	−4.30991	+	5.58423i	−0.319472	+	0.413931i
$183$	7.21334	+	11.5015i	0.533225	+	0.850218i
$184$	−15.9100	+	3.63334i	−1.17290	+	0.267853i
$185$		−	0.715879i		−	0.0526324i
$186$	−13.7942	+	6.84219i	−1.01144	+	0.501694i
$187$	−0.368215			−0.0269266
$188$	−7.67659	−	1.55123i	−0.559873	−	0.113135i
$189$	−13.7084	+	1.03900i	−0.997140	+	0.0755762i
$190$	−0.174322	+	1.74278i	−0.0126466	+	0.126434i
$191$		−	19.3077i		−	1.39705i	−0.715584	−	0.698527i	$-0.753839\pi$
$191$		−	19.3077i		−	1.39705i	0.715584	−	0.698527i	$-0.246161\pi$
$192$	13.8464	+	0.526543i	0.999278	+	0.0380000i
$193$	1.51181			0.108822			0.0544112	−	0.998519i	$-0.482672\pi$
$193$	1.51181			0.108822			0.0544112	+	0.998519i	$0.482672\pi$
$194$	3.57837	−	1.61479i	0.256912	−	0.115935i
$195$	0.828192	−	0.519412i	0.0593081	−	0.0371958i
$196$	−13.5024	−	3.69939i	−0.964456	−	0.264242i
$197$	−1.13305			−0.0807266			−0.0403633	−	0.999185i	$-0.512852\pi$
$197$	−1.13305			−0.0807266			−0.0403633	+	0.999185i	$0.512852\pi$
$198$	−0.222216	+	0.120537i	−0.0157922	+	0.00856621i
$199$	9.90940	+	17.1636i	0.702458	+	1.21669i	0.967601	+	0.252484i	$0.0812477\pi$
$199$	9.90940	+	17.1636i	0.702458	+	1.21669i	−0.265143	+	0.964209i	$0.585419\pi$
$200$	10.1800	−	9.44787i	0.719832	−	0.668065i
$201$	10.4537	+	16.6682i	0.737344	+	1.17568i
$202$	−10.5021	−	7.54985i	−0.738924	−	0.531206i
$203$	−7.96244	+	4.24281i	−0.558854	+	0.297787i
$204$	−13.5671	+	16.5582i	−0.949884	+	1.15931i
$205$	3.16934			0.221356
$206$	2.05426	+	4.55224i	0.143127	+	0.317169i
$207$	−1.26436	−	17.2633i	−0.0878792	−	1.19989i
$208$	4.55426	+	6.01050i	0.315781	+	0.416753i
$209$	0.213471	−	0.123248i	0.0147661	−	0.00852522i
$210$	1.57825	+	1.12853i	0.108910	+	0.0778757i
$211$	−19.2102	−	11.0910i	−1.32248	−	0.763536i	−0.338360	−	0.941017i	$-0.609872\pi$
$211$	−19.2102	−	11.0910i	−1.32248	−	0.763536i	−0.984124	+	0.177480i	$0.943205\pi$
$212$	4.38910	+	13.0601i	0.301445	+	0.896971i
$213$	1.15611	+	1.84339i	0.0792151	+	0.126307i
$214$	18.0798	+	12.9974i	1.23591	+	0.888484i
$215$	−1.47054	+	2.54704i	−0.100290	+	0.173707i
$216$	−2.76724	+	14.4341i	−0.188287	+	0.982114i
$217$	0.565621	−	16.6220i	0.0383969	−	1.12837i
$218$	−2.45424	−	5.43859i	−0.166222	−	0.368348i
$219$	−6.02025	+	11.3676i	−0.406810	+	0.768150i
$220$	0.0349713	+	0.00706674i	0.00235777	+	0.000476439i
$221$	−11.6500			−0.783667
$222$	−0.369572	+	5.84551i	−0.0248040	+	0.392325i
$223$	−5.48371	−	9.49807i	−0.367217	−	0.636038i	0.621913	−	0.783087i	$-0.286356\pi$
$223$	−5.48371	−	9.49807i	−0.367217	−	0.636038i	−0.989129	+	0.147049i	$0.953023\pi$
$224$	−7.59819	+	12.8945i	−0.507675	+	0.861549i
$225$	8.27774	+	12.1854i	0.551849	+	0.812362i
$226$	−2.56123	+	3.56275i	−0.170371	+	0.236991i
$227$	−6.77373	+	11.7324i	−0.449588	+	0.778710i	−0.998359	−	0.0572631i	$-0.981763\pi$
$227$	−6.77373	+	11.7324i	−0.449588	+	0.778710i	0.548771	+	0.835973i	$0.315096\pi$
$228$	2.32313	−	14.1407i	0.153853	−	0.936489i
$229$	19.5712	−	11.2994i	1.29330	−	0.746687i	0.314062	−	0.949402i	$-0.398310\pi$
$229$	19.5712	−	11.2994i	1.29330	−	0.746687i	0.979238	+	0.202716i	$0.0649767\pi$
$230$	−1.42595	+	1.98354i	−0.0940245	+	0.130791i
$231$	−0.000693343	−	0.273058i	−4.56186e−5	−	0.0179659i
$232$	2.14738	+	9.40316i	0.140982	+	0.617348i
$233$	13.0592	−	22.6193i	0.855539	−	1.48184i	−0.0206048	−	0.999788i	$-0.506559\pi$
$233$	13.0592	−	22.6193i	0.855539	−	1.48184i	0.876144	−	0.482050i	$-0.160108\pi$
$234$	−7.03075	+	3.81370i	−0.459615	+	0.249310i
$235$	−1.01528	+	0.586172i	−0.0662296	+	0.0382377i
$236$	−1.75105	−	0.353840i	−0.113984	−	0.0230330i
$237$	1.42567	+	2.27321i	0.0926075	+	0.147661i
$238$	−8.78825	−	21.3864i	−0.569657	−	1.38628i
$239$	24.8327	+	14.3372i	1.60629	+	0.927393i	0.990190	+	0.139727i	$0.0446226\pi$
$239$	24.8327	+	14.3372i	1.60629	+	0.927393i	0.616102	+	0.787666i	$0.288711\pi$
$240$	1.60632	−	1.31224i	0.103687	−	0.0847049i
$241$	9.24424	+	5.33716i	0.595474	+	0.343797i	0.767259	−	0.641338i	$-0.221620\pi$
$241$	9.24424	+	5.33716i	0.595474	+	0.343797i	−0.171785	+	0.985134i	$0.554953\pi$
$242$	6.39662	+	14.1749i	0.411190	+	0.911195i
$243$	−14.6918	−	5.21068i	−0.942479	−	0.334266i
$244$	−3.10505	+	15.3660i	−0.198781	+	0.983710i
$245$	−1.88194	+	0.922040i	−0.120233	+	0.0589070i
$246$	−25.8793	−	1.63617i	−1.65000	−	0.104318i
$247$	6.75406	−	3.89946i	0.429750	−	0.248116i
$248$	−16.9906	−	5.23872i	−1.07891	−	0.332659i
$249$	14.1178	+	7.47676i	0.894681	+	0.473821i
$250$	0.417618	−	4.17512i	0.0264125	−	0.264058i
$251$	20.5004			1.29397			0.646987	−	0.762501i	$-0.276029\pi$
$251$	20.5004			1.29397			0.646987	+	0.762501i	$0.276029\pi$
$252$	−12.3046	−	10.0298i	−0.775119	−	0.631815i
$253$	0.343804			0.0216148
$254$	−2.25539	+	22.5482i	−0.141516	+	1.41480i
$255$	0.117108	+	3.20223i	0.00733361	+	0.200531i
$256$	11.1754	+	11.4504i	0.698462	+	0.715647i
$257$	4.00830	−	2.31419i	0.250031	−	0.144355i	−0.369748	−	0.929132i	$-0.620556\pi$
$257$	4.00830	−	2.31419i	0.250031	−	0.144355i	0.619778	+	0.784777i	$0.287223\pi$
$258$	13.3226	−	20.0387i	0.829428	−	1.24756i
$259$	−5.36814	−	3.34774i	−0.333560	−	0.208018i
$260$	1.10646	+	0.223586i	0.0686200	+	0.0138662i
$261$	−10.2030	+	0.747264i	−0.631550	+	0.0462545i
$262$	2.03403	+	4.50741i	0.125663	+	0.278469i
$263$	−25.8393	−	14.9183i	−1.59332	−	0.919905i	−0.992732	−	0.120348i	$-0.961599\pi$
$263$	−25.8393	−	14.9183i	−1.59332	−	0.919905i	−0.600590	−	0.799557i	$-0.705068\pi$
$264$	−0.281910	−	0.0757574i	−0.0173504	−	0.00466254i
$265$	1.78612	+	1.03122i	0.109720	+	0.0633470i
$266$	12.2533	+	9.45712i	0.751300	+	0.579853i
$267$	17.6285	−	0.644688i	1.07884	−	0.0394543i
$268$	−4.49988	+	22.2687i	−0.274874	+	1.36028i
$269$	−13.3935	+	7.73276i	−0.816618	+	0.471475i	−0.849249	−	0.527993i	$-0.822945\pi$
$269$	−13.3935	+	7.73276i	−0.816618	+	0.471475i	0.0326305	+	0.999467i	$0.489612\pi$
$270$	1.11894	+	1.89420i	0.0680966	+	0.115277i
$271$	11.4019	−	19.7487i	0.692616	−	1.19965i	−0.278362	−	0.960476i	$-0.589791\pi$
$271$	11.4019	−	19.7487i	0.692616	−	1.19965i	0.970978	−	0.239170i	$-0.0768752\pi$
$272$	−24.5258	+	3.07741i	−1.48710	+	0.186595i
$273$	−0.0219368	−	8.63933i	−0.00132768	−	0.522876i
$274$	−7.82221	+	10.8809i	−0.472557	+	0.657342i
$275$	−0.253391	+	0.146295i	−0.0152800	+	0.00882194i
$276$	12.6676	−	15.4605i	0.762501	−	0.930612i
$277$	9.76501	−	16.9135i	0.586722	−	1.01623i	−0.407936	−	0.913011i	$-0.633751\pi$
$277$	9.76501	−	16.9135i	0.586722	−	1.01623i	0.994658	−	0.103222i	$-0.0329154\pi$
$278$	16.9884	−	23.6314i	1.01890	−	1.41732i
$279$	8.21109	−	16.9770i	0.491585	−	1.01639i
$280$	0.424219	+	2.19984i	0.0253519	+	0.131466i
$281$	3.65759	+	6.33513i	0.218194	+	0.377922i	0.954256	−	0.298992i	$-0.0966502\pi$
$281$	3.65759	+	6.33513i	0.218194	+	0.377922i	−0.736062	+	0.676914i	$0.763317\pi$
$282$	8.59289	−	4.26225i	0.511699	−	0.253814i
$283$	18.7842			1.11661			0.558303	−	0.829637i	$-0.311453\pi$
$283$	18.7842			1.11661			0.558303	+	0.829637i	$0.311453\pi$
$284$	−0.497657	+	2.46277i	−0.0295305	+	0.146138i
$285$	−1.13973	−	1.81728i	−0.0675118	−	0.107646i
$286$	−0.0653455	−	0.144805i	−0.00386396	−	0.00856252i
$287$	14.8211	−	23.7659i	0.874864	−	1.40286i
$288$	−13.7938	+	9.88586i	−0.812809	+	0.582530i
$289$	10.5933	−	18.3482i	0.623137	−	1.07931i
$290$	1.17232	+	0.842768i	0.0688408	+	0.0494890i
$291$	−2.25030	+	4.24908i	−0.131915	+	0.249085i
$292$	−14.0795	+	4.73169i	−0.823939	+	0.276901i
$293$	−27.7732	−	16.0349i	−1.62253	−	0.936766i	−0.986241	−	0.165312i	$-0.947137\pi$
$293$	−27.7732	−	16.0349i	−1.62253	−	0.936766i	−0.636285	−	0.771454i	$-0.719530\pi$
$294$	15.8430	−	6.55737i	0.923983	−	0.382434i
$295$	−0.231588	+	0.133708i	−0.0134836	+	0.00778476i
$296$	−4.95730	+	4.60079i	−0.288137	+	0.267416i
$297$	0.124534	−	0.283470i	0.00722617	−	0.0164486i
$298$	2.02619	+	4.49002i	0.117374	+	0.260100i
$299$	10.8777			0.629073
$300$	−2.75757	+	16.7850i	−0.159208	+	0.969083i
$301$	12.2226	+	22.9381i	0.704501	+	1.32213i
$302$	14.3854	+	10.3415i	0.827786	+	0.595088i
$303$	15.8305	−	0.578936i	0.909440	−	0.0332590i
$304$	13.1887	−	9.99330i	0.756422	−	0.573155i
$305$	1.17333	+	2.03226i	0.0671845	+	0.116367i
$306$	0.696901	−	26.2083i	0.0398392	−	1.49823i
$307$	−11.7362			−0.669818			−0.334909	−	0.942251i	$-0.608706\pi$
$307$	−11.7362			−0.669818			−0.334909	+	0.942251i	$0.608706\pi$
$308$	0.216531	−	0.229192i	0.0123380	−	0.0130594i
$309$	−5.40547	−	2.86272i	−0.307506	−	0.162855i
$310$	−2.42593	+	1.09474i	−0.137783	+	0.0621768i
$311$	−28.3340			−1.60667			−0.803336	−	0.595526i	$-0.796944\pi$
$311$	−28.3340			−1.60667			−0.803336	+	0.595526i	$0.796944\pi$
$312$	−8.91941	−	2.39690i	−0.504962	−	0.135698i
$313$			3.22198i			0.182117i	0.995846	+	0.0910585i	$0.0290250\pi$
$313$			3.22198i			0.182117i	−0.995846	+	0.0910585i	$0.970975\pi$
$314$	−0.415604	+	4.15499i	−0.0234539	+	0.234479i
$315$	−2.37446	+	0.0928738i	−0.133786	+	0.00523285i
$316$	−0.613696	+	3.03701i	−0.0345231	+	0.170845i
$317$	−30.6731			−1.72277			−0.861387	−	0.507949i	$-0.830404\pi$
$317$	−30.6731			−1.72277			−0.861387	+	0.507949i	$0.830404\pi$
$318$	−14.0522	−	9.34247i	−0.788007	−	0.523900i
$319$		−	0.203196i		−	0.0113768i
$320$	2.38840	+	0.178419i	0.133516	+	0.00997393i
$321$	−27.2530	+	0.996664i	−1.52111	+	0.0556284i
$322$	8.20562	+	19.9686i	0.457282	+	1.11281i
$323$			25.5634i			1.42238i
$324$	−8.15885	−	16.0447i	−0.453269	−	0.891374i
$325$	−8.01709	+	4.62867i	−0.444708	+	0.256752i
$326$	−15.9720	−	11.4821i	−0.884607	−	0.635936i
$327$	6.45795	+	3.42011i	0.357125	+	0.189133i
$328$	−20.3686	−	21.9470i	−1.12467	−	1.21182i
$329$	−0.352346	+	10.3544i	−0.0194255	+	0.570859i
$330$	−0.0391456	+	0.0194170i	−0.00215489	+	0.00106887i
$331$		−	15.3108i		−	0.841557i	−0.907163	−	0.420778i	$-0.861757\pi$
$331$		−	15.3108i		−	0.841557i	0.907163	−	0.420778i	$-0.138243\pi$
$332$	5.87646	+	17.4858i	0.322512	+	0.959659i
$333$	−4.03098	−	5.93389i	−0.220896	−	0.325175i
$334$	−11.0355	+	15.3507i	−0.603834	+	0.839951i
$335$	1.70040	+	2.94518i	0.0929028	+	0.160912i
$336$	−2.32830	−	18.1818i	−0.127019	−	0.991900i
$337$	−15.4560	+	26.7706i	−0.841943	+	1.45829i	0.0463067	+	0.998927i	$0.485255\pi$
$337$	−15.4560	+	26.7706i	−0.841943	+	1.45829i	−0.888250	+	0.459361i	$0.848078\pi$
$338$	5.49460	+	12.1760i	0.298867	+	0.662288i
$339$	−0.196400	−	5.37039i	−0.0106670	−	0.291679i
$340$	−2.44808	+	2.77445i	−0.132766	+	0.150466i
$341$	0.324386	+	0.187284i	0.0175665	+	0.0101420i
$342$	8.36831	+	15.4274i	0.452506	+	0.834218i
$343$	−1.88664	+	18.4239i	−0.101869	+	0.994798i
$344$	27.0885	−	6.18614i	1.46051	−	0.333534i
$345$	−0.109345	−	2.98994i	−0.00588692	−	0.160973i
$346$	0.677209	−	6.77038i	0.0364070	−	0.363978i
$347$		−	7.06326i		−	0.379176i	−0.981864	−	0.189588i	$-0.939285\pi$
$347$		−	7.06326i		−	0.379176i	0.981864	−	0.189588i	$-0.0607152\pi$
$348$	−9.13747	−	7.48683i	−0.489820	−	0.401336i
$349$	17.0097	−	9.82058i	0.910510	−	0.525683i	0.0299150	−	0.999552i	$-0.490476\pi$
$349$	17.0097	−	9.82058i	0.910510	−	0.525683i	0.880595	+	0.473869i	$0.157143\pi$
$350$	−14.5447	−	11.2256i	−0.777449	−	0.600035i
$351$	3.94014	−	8.96878i	0.210309	−	0.478718i
$352$	−0.175817	−	0.287585i	−0.00937109	−	0.0153283i
$353$	3.76372	+	2.17298i	0.200323	+	0.115656i	0.596806	−	0.802386i	$-0.296436\pi$
$353$	3.76372	+	2.17298i	0.200323	+	0.115656i	−0.396483	+	0.918042i	$0.629770\pi$
$354$	1.96006	−	0.972233i	0.104176	−	0.0516736i
$355$	0.188053	+	0.325717i	0.00998082	+	0.0172873i
$356$	15.2735	+	13.4768i	0.809494	+	0.714269i
$357$	24.5601	+	14.0968i	1.29986	+	0.746081i
$358$	13.4561	−	6.07228i	0.711179	−	0.320930i
$359$	−8.64868	−	4.99331i	−0.456460	−	0.263537i	0.254095	−	0.967179i	$-0.418222\pi$
$359$	−8.64868	−	4.99331i	−0.456460	−	0.263537i	−0.710554	+	0.703642i	$0.751556\pi$
$360$	−0.569174	+	2.47576i	−0.0299981	+	0.130484i
$361$	0.943525	+	1.63423i	0.0496592	+	0.0860122i
$362$	1.88054	−	18.8007i	0.0988391	−	0.988141i
$363$	−16.8317	−	8.91402i	−0.883435	−	0.467865i
$364$	6.85088	−	7.25144i	0.359084	−	0.380079i
$365$	−1.11170	+	1.92553i	−0.0581893	+	0.100787i
$366$	−8.53165	−	17.2002i	−0.445957	−	0.899068i
$367$	3.30003	−	5.71581i	0.172260	−	0.298363i	−0.766950	−	0.641707i	$-0.778226\pi$
$367$	3.30003	−	5.71581i	0.172260	−	0.298363i	0.939210	+	0.343344i	$0.111560\pi$
$368$	22.8999	−	2.87339i	1.19374	−	0.149786i
$369$	26.2706	−	17.8460i	1.36759	−	0.929024i
$370$	−0.100763	+	1.00738i	−0.00523844	+	0.0523711i
$371$	16.0854	−	8.57114i	0.835110	−	0.444991i
$372$	20.3741	−	7.68668i	1.05635	−	0.398536i
$373$	13.2690	+	22.9826i	0.687043	+	1.18999i	0.972790	+	0.231688i	$0.0744249\pi$
$373$	13.2690	+	22.9826i	0.687043	+	1.18999i	−0.285747	+	0.958305i	$0.592242\pi$
$374$	0.518150	+	0.0518281i	0.0267929	+	0.00267997i
$375$	2.73042	+	4.35361i	0.140998	+	0.224819i
$376$	10.5841	+	3.26339i	0.545833	+	0.168297i
$377$		−	6.42895i		−	0.331108i
$378$	19.4366	+	0.467451i	0.999711	+	0.0240431i
$379$		−	25.5334i		−	1.31156i	−0.754951	−	0.655781i	$-0.772339\pi$
$379$		−	25.5334i		−	1.31156i	0.754951	−	0.655781i	$-0.227661\pi$
$380$	0.490609	−	2.42789i	0.0251677	−	0.124548i
$381$	−14.7459	−	23.5121i	−0.755455	−	1.20456i
$382$	−2.71765	+	27.1696i	−0.139047	+	1.39012i
$383$	8.45498	+	14.6445i	0.432029	+	0.748297i	0.997048	−	0.0767813i	$-0.0244643\pi$
$383$	8.45498	+	14.6445i	0.432029	+	0.748297i	−0.565019	+	0.825078i	$0.691131\pi$
$384$	−19.4104	−	2.68989i	−0.990534	−	0.137268i
$385$	0.00160514	−	0.0471705i	8.18056e−5	−	0.00240403i
$386$	−2.12740	−	0.212794i	−0.108282	−	0.0108310i
$387$	2.15271	+	29.3927i	0.109428	+	1.49411i
$388$	−5.26275	+	1.76865i	−0.267176	+	0.0897896i
$389$	−10.3483	+	17.9237i	−0.524677	+	0.908768i	0.474910	+	0.880034i	$0.342481\pi$
$389$	−10.3483	+	17.9237i	−0.524677	+	0.908768i	−0.999587	+	0.0287332i	$0.990853\pi$
$390$	−1.23853	+	0.614340i	−0.0627156	+	0.0311083i
$391$	−17.8275	+	30.8782i	−0.901577	+	1.56158i
$392$	18.4797	+	7.10628i	0.933368	+	0.358921i
$393$	−5.35224	−	2.83453i	−0.269985	−	0.142983i
$394$	1.59442	+	0.159483i	0.0803258	+	0.00803461i
$395$	0.231901	+	0.401665i	0.0116682	+	0.0202099i
$396$	0.329667	−	0.138341i	0.0165664	−	0.00695190i
$397$	−14.8979	−	8.60130i	−0.747703	−	0.431687i	0.0771601	−	0.997019i	$-0.475415\pi$
$397$	−14.8979	−	8.60130i	−0.747703	−	0.431687i	−0.824863	+	0.565332i	$0.808748\pi$
$398$	−11.5286	−	25.5472i	−0.577875	−	1.28057i
$399$	−18.9570	+	0.0481354i	−0.949039	+	0.00240978i
$400$	−15.6550	+	11.8621i	−0.782750	+	0.593104i
$401$	11.0441	+	19.1290i	0.551517	+	0.955255i	0.998165	+	0.0605456i	$0.0192841\pi$
$401$	11.0441	+	19.1290i	0.551517	+	0.955255i	−0.446649	+	0.894709i	$0.647383\pi$
$402$	−12.3642	−	24.9267i	−0.616669	−	1.24323i
$403$	10.2633	+	5.92552i	0.511252	+	0.295171i
$404$	13.7158	+	12.1023i	0.682385	+	0.602112i
$405$	−2.50484	−	0.992866i	−0.124467	−	0.0493359i
$406$	11.8019	−	4.84969i	0.585717	−	0.240686i
$407$	0.123393	−	0.0712409i	0.00611635	−	0.00353128i
$408$	21.4221	−	21.3910i	1.06055	−	1.05901i
$409$		−	26.0253i		−	1.28687i	−0.765502	−	0.643434i	$-0.777509\pi$
$409$		−	26.0253i		−	1.28687i	0.765502	−	0.643434i	$-0.222491\pi$
$410$	−4.45987	−	0.446100i	−0.220257	−	0.0220313i
$411$	−0.599821	−	16.4016i	−0.0295870	−	0.809032i
$412$	−2.24999	−	6.69502i	−0.110849	−	0.329840i
$413$	−0.0803713	+	2.36188i	−0.00395481	+	0.116220i
$414$	−0.650699	+	24.4708i	−0.0319801	+	1.20267i
$415$	2.39138	+	1.38067i	0.117388	+	0.0677743i
$416$	−5.56272	−	9.09896i	−0.272735	−	0.446113i
$417$	1.30270	+	35.6214i	0.0637937	+	1.74439i
$418$	−0.317742	+	0.143386i	−0.0155413	+	0.00701323i
$419$	−4.48691	+	7.77155i	−0.219200	+	0.379665i	−0.954564	−	0.298007i	$-0.903678\pi$
$419$	−4.48691	+	7.77155i	−0.219200	+	0.379665i	0.735364	+	0.677673i	$0.237011\pi$
$420$	−2.06206	−	1.81020i	−0.100618	−	0.0883286i
$421$	5.23952	+	9.07511i	0.255358	+	0.442294i	0.964993	−	0.262276i	$-0.0844732\pi$
$421$	5.23952	+	9.07511i	0.255358	+	0.442294i	−0.709634	+	0.704570i	$0.751140\pi$
$422$	25.4713	+	18.3111i	1.23992	+	0.891370i
$423$	−5.11499	+	10.5756i	−0.248699	+	0.514204i
$424$	−4.33804	−	18.9958i	−0.210674	−	0.922520i
$425$		−	30.3438i		−	1.47189i
$426$	−1.36740	−	2.75673i	−0.0662506	−	0.133564i
$427$	20.7262	+	0.705283i	1.00301	+	0.0341311i
$428$	−23.6123	−	20.8347i	−1.14134	−	1.00708i
$429$	0.171946	+	0.0910624i	0.00830165	+	0.00439653i
$430$	2.42784	−	3.37719i	0.117081	−	0.162863i
$431$	−3.87571	+	2.23764i	−0.186687	+	0.107784i	−0.590430	−	0.807088i	$-0.701042\pi$
$431$	−3.87571	+	2.23764i	−0.186687	+	0.107784i	0.403744	+	0.914872i	$0.367709\pi$
$432$	5.92570	−	19.9220i	0.285100	−	0.958498i
$433$		−	19.2972i		−	0.927365i	−0.886001	−	0.463683i	$-0.846528\pi$
$433$		−	19.2972i		−	0.927365i	0.886001	−	0.463683i	$-0.153472\pi$
$434$	−3.13556	+	23.3107i	−0.150512	+	1.11895i
$435$	−1.76712	+	0.0646249i	−0.0847267	+	0.00309853i
$436$	2.68808	+	7.99858i	0.128736	+	0.383062i
$437$		−	23.8686i		−	1.14179i
$438$	10.0717	−	15.1490i	0.481244	−	0.723847i
$439$	−23.9945			−1.14520			−0.572598	−	0.819837i	$-0.694064\pi$
$439$	−23.9945			−1.14520			−0.572598	+	0.819837i	$0.694064\pi$
$440$	−0.0482167	−	0.0148666i	−0.00229864	−	0.000708739i
$441$	−10.4075	+	18.2396i	−0.495596	+	0.868553i
$442$	16.3938	+	1.63980i	0.779776	+	0.0779973i
$443$		−	0.624950i		−	0.0296923i	−0.999890	−	0.0148461i	$-0.995274\pi$
$443$		−	0.624950i		−	0.0296923i	0.999890	−	0.0148461i	$-0.00472585\pi$
$444$	1.34284	−	8.17373i	0.0637285	−	0.387908i
$445$	3.04909			0.144541
$446$	6.37974	+	14.1375i	0.302089	+	0.669428i
$447$	−5.33159	−	2.82360i	−0.252176	−	0.133552i
$448$	12.5071	−	17.0755i	0.590903	−	0.806743i
$449$	−22.2301			−1.04910			−0.524551	−	0.851379i	$-0.675767\pi$
$449$	−22.2301			−1.04910			−0.524551	+	0.851379i	$0.675767\pi$
$450$	−9.93321	−	18.3124i	−0.468256	−	0.863253i
$451$	0.315398	+	0.546285i	0.0148515	+	0.0257236i
$452$	4.10562	−	4.65297i	0.193112	−	0.218857i
$453$	−21.6841	+	0.793007i	−1.01881	+	0.0372587i
$454$	11.1833	−	15.5564i	0.524860	−	0.730096i
$455$	0.0507854	−	1.49244i	0.00238086	−	0.0699665i
$456$	−5.25946	+	19.5716i	−0.246297	+	0.916526i
$457$	3.82232			0.178801			0.0894004	−	0.995996i	$-0.471505\pi$
$457$	3.82232			0.178801			0.0894004	+	0.995996i	$0.471505\pi$
$458$	−29.1308	+	13.1457i	−1.36119	+	0.614259i
$459$	19.0019	+	25.8838i	0.886932	+	1.20815i
$460$	2.28578	−	2.59052i	0.106575	−	0.120783i
$461$	−0.767044	+	0.442853i	−0.0357248	+	0.0206257i	−0.517756	−	0.855528i	$-0.673233\pi$
$461$	−0.767044	+	0.442853i	−0.0357248	+	0.0206257i	0.482031	+	0.876154i	$0.339899\pi$
$462$	−0.0374585	+	0.384342i	−0.00174273	+	0.0178812i
$463$	−15.7549	−	9.09610i	−0.732193	−	0.422732i	0.0870311	−	0.996206i	$-0.472262\pi$
$463$	−15.7549	−	9.09610i	−0.732193	−	0.422732i	−0.819224	+	0.573474i	$0.805595\pi$
$464$	−1.69823	−	13.5343i	−0.0788385	−	0.628314i
$465$	1.52557	−	2.88062i	0.0707467	−	0.133586i
$466$	−21.5606	+	29.9915i	−0.998776	+	1.38933i
$467$	−3.88452	+	6.72818i	−0.179754	+	0.311343i	−0.941796	−	0.336184i	$-0.890864\pi$
$467$	−3.88452	+	6.72818i	−0.179754	+	0.311343i	0.762042	+	0.647527i	$0.224197\pi$
$468$	10.4304	−	4.37700i	0.482146	−	0.202327i
$469$	30.0367	+	1.02211i	1.38697	+	0.0471964i
$470$	1.51120	−	0.681951i	0.0697065	−	0.0314561i
$471$	−2.71725	−	4.33261i	−0.125204	−	0.199636i
$472$	2.41426	+	0.744389i	0.111125	+	0.0342633i
$473$	−0.585363			−0.0269150
$474$	−1.68623	−	3.39951i	−0.0774511	−	0.156145i
$475$	10.1566	+	17.5917i	0.466015	+	0.807162i
$476$	9.35650	+	31.3318i	0.428854	+	1.43609i
$477$	20.6116	−	1.50959i	0.943742	−	0.0691194i
$478$	−32.9263	−	23.6704i	−1.50601	−	1.08266i
$479$	1.69231	−	2.93117i	0.0773237	−	0.133929i	−0.824771	−	0.565467i	$-0.808696\pi$
$479$	1.69231	−	2.93117i	0.0773237	−	0.133929i	0.902094	+	0.431539i	$0.142029\pi$
$480$	−2.44510	+	1.62048i	−0.111603	+	0.0739645i
$481$	3.90405	−	2.25400i	0.178009	−	0.102774i
$482$	−12.2572	−	8.81158i	−0.558299	−	0.401357i
$483$	−22.9319	−	13.1622i	−1.04344	−	0.598902i
$484$	−7.00609	−	20.8471i	−0.318458	−	0.947596i
$485$	−0.415542	+	0.719741i	−0.0188688	+	0.0326817i
$486$	19.9407	+	9.40037i	0.904530	+	0.426410i
$487$	17.1308	−	9.89047i	0.776271	−	0.448180i	−0.0588362	−	0.998268i	$-0.518739\pi$
$487$	17.1308	−	9.89047i	0.776271	−	0.448180i	0.835107	+	0.550087i	$0.185406\pi$
$488$	6.53225	−	21.1859i	0.295701	−	0.959042i
$489$	24.0757	−	0.880470i	1.08874	−	0.0398163i
$490$	2.77803	−	1.03259i	0.125499	−	0.0466479i
$491$	−21.6474	−	12.4982i	−0.976935	−	0.564034i	−0.0755917	−	0.997139i	$-0.524085\pi$
$491$	−21.6474	−	12.4982i	−0.976935	−	0.564034i	−0.901343	+	0.433105i	$0.857418\pi$
$492$	36.1868	+	5.94504i	1.63143	+	0.268023i
$493$	18.2497	+	10.5364i	0.821923	+	0.474538i
$494$	−10.0531	+	4.53662i	−0.452311	+	0.204112i
$495$	0.0233017	−	0.0481780i	0.00104734	−	0.00216544i
$496$	23.1717	+	9.76339i	1.04044	+	0.438389i
$497$	3.32186	+	0.113038i	0.149006	+	0.00507045i
$498$	−18.8141	−	12.5084i	−0.843080	−	0.560514i
$499$	1.14354	−	0.660225i	0.0511920	−	0.0295557i	−0.474186	−	0.880425i	$-0.657257\pi$
$499$	1.14354	−	0.660225i	0.0511920	−	0.0295557i	0.525378	+	0.850869i	$0.323924\pi$
$500$	−1.17534	+	5.81642i	−0.0525627	+	0.260118i
$501$	−0.846219	−	23.1392i	−0.0378063	−	1.03378i
$502$	−28.8480	−	2.88553i	−1.28755	−	0.128788i
$503$	30.0706			1.34078			0.670391	−	0.742008i	$-0.266126\pi$
$503$	30.0706			1.34078			0.670391	+	0.742008i	$0.266126\pi$
$504$	15.9032	+	15.8457i	0.708387	+	0.705824i
$505$	2.73811			0.121844
$506$	−0.483799	−	0.0483921i	−0.0215075	−	0.00215129i
$507$	−14.4582	−	7.65701i	−0.642110	−	0.340060i
$508$	6.34752	−	31.4121i	0.281626	−	1.39369i
$509$	−26.4670	+	15.2807i	−1.17313	+	0.677306i	−0.954415	−	0.298483i	$-0.903519\pi$
$509$	−26.4670	+	15.2807i	−1.17313	+	0.677306i	−0.218714	+	0.975789i	$0.570186\pi$
$510$	0.285936	−	4.52264i	0.0126614	−	0.200266i
$511$	9.24014	+	17.3409i	0.408760	+	0.767115i
$512$	−14.1142	−	17.6858i	−0.623767	−	0.781611i
$513$	−19.6800	−	8.64575i	−0.868891	−	0.381719i
$514$	−5.96617	+	2.69232i	−0.263157	+	0.118753i
$515$	−0.915620	−	0.528633i	−0.0403470	−	0.0232944i
$516$	−21.5680	+	26.3231i	−0.949477	+	1.15881i
$517$	−0.202072	−	0.116666i	−0.00888711	−	0.00513097i
$518$	7.08280	+	5.46650i	0.311200	+	0.240184i
$519$	4.42765	+	7.05981i	0.194352	+	0.309891i
$520$	−1.52554	−	0.470368i	−0.0668992	−	0.0206270i
$521$	4.05425	−	2.34072i	0.177620	−	0.102549i	−0.408554	−	0.912734i	$-0.633967\pi$
$521$	4.05425	−	2.34072i	0.177620	−	0.102549i	0.586174	+	0.810185i	$0.300633\pi$
$522$	14.4628	+	0.384577i	0.633017	+	0.0168325i
$523$	−13.1758	+	22.8212i	−0.576139	+	0.997902i	0.419778	+	0.907627i	$0.362108\pi$
$523$	−13.1758	+	22.8212i	−0.576139	+	0.997902i	−0.995917	+	0.0902752i	$0.971225\pi$
$524$	−2.22784	−	6.62909i	−0.0973235	−	0.289593i
$525$	22.5021	−	0.0571368i	0.982071	−	0.00249366i
$526$	34.2611	+	24.6300i	1.49385	+	1.07392i
$527$	−33.6412	+	19.4228i	−1.46543	+	0.846068i
$528$	0.386038	+	0.146285i	0.0168002	+	0.00636625i
$529$	5.14565	−	8.91252i	0.223724	−	0.387501i
$530$	−2.36826	−	1.70252i	−0.102871	−	0.0739528i
$531$	−1.16675	+	2.41233i	−0.0506324	+	0.104686i
$532$	−15.9116	−	15.0327i	−0.689857	−	0.651750i
$533$	9.97894	+	17.2840i	0.432236	+	0.748654i
$534$	−24.8974	−	1.57409i	−1.07741	−	0.0681176i
$535$	−4.71378			−0.203795
$536$	9.46662	−	30.7029i	0.408896	−	1.32616i
$537$	−8.46204	+	15.9782i	−0.365164	+	0.689512i
$538$	19.9357	−	8.99627i	0.859489	−	0.387857i
$539$	−0.346210	−	0.232625i	−0.0149123	−	0.0100199i
$540$	−1.30795	−	2.82299i	−0.0562851	−	0.121482i
$541$	−14.8912	+	25.7923i	−0.640223	+	1.10890i	0.345160	+	0.938544i	$0.387825\pi$
$541$	−14.8912	+	25.7923i	−0.640223	+	1.10890i	−0.985383	+	0.170354i	$0.945509\pi$
$542$	−18.8244	+	26.1853i	−0.808576	+	1.12475i
$543$	12.2951	+	19.6044i	0.527635	+	0.841304i
$544$	34.9457	−	0.878372i	1.49828	−	0.0376599i
$545$	1.09390	+	0.631561i	0.0468574	+	0.0270531i
$546$	−1.18516	+	12.1603i	−0.0507201	+	0.520412i
$547$	−23.9968	+	13.8546i	−1.02603	+	0.592379i	−0.915845	−	0.401532i	$-0.868478\pi$
$547$	−23.9968	+	13.8546i	−1.02603	+	0.592379i	−0.110186	+	0.993911i	$0.535145\pi$
$548$	12.5389	−	14.2106i	0.535635	−	0.607045i
$549$	21.1690	+	10.2386i	0.903469	+	0.436971i
$550$	0.377161	−	0.170200i	0.0160822	−	0.00725733i
$551$	−14.1069			−0.600973
$552$	−20.0019	+	19.9728i	−0.851338	+	0.850101i
$553$	4.09642	+	0.139395i	0.174197	+	0.00592768i
$554$	−16.1219	+	22.4260i	−0.684953	+	0.952791i
$555$	−0.658799	−	1.05044i	−0.0279645	−	0.0445888i
$556$	−27.2322	+	30.8628i	−1.15490	+	1.30887i
$557$	−4.72713	−	8.18763i	−0.200295	−	0.346921i	0.748329	−	0.663328i	$-0.230857\pi$
$557$	−4.72713	−	8.18763i	−0.200295	−	0.346921i	−0.948623	+	0.316407i	$0.897523\pi$
$558$	−13.9442	+	22.7342i	−0.590304	+	0.962414i
$559$	−18.5204			−0.783331
$560$	−0.287319	−	3.15531i	−0.0121414	−	0.133336i
$561$	−0.540300	+	0.338856i	−0.0228115	+	0.0143065i
$562$	−4.25523	−	9.42957i	−0.179496	−	0.397762i
$563$	15.8783			0.669189			0.334594	−	0.942362i	$-0.391401\pi$
$563$	15.8783			0.669189			0.334594	+	0.942362i	$0.391401\pi$
$564$	−12.6918	+	4.78832i	−0.534420	+	0.201625i
$565$		−	0.928884i		−	0.0390785i
$566$	−26.4330	−	2.64397i	−1.11106	−	0.111134i
$567$	−19.1588	+	14.1400i	−0.804596	+	0.593823i
$568$	1.04695	−	3.39554i	0.0439289	−	0.142474i
$569$	−2.77657			−0.116400			−0.0581999	−	0.998305i	$-0.518536\pi$
$569$	−2.77657			−0.116400			−0.0581999	+	0.998305i	$0.518536\pi$
$570$	1.34803	+	2.71768i	0.0564627	+	0.113831i
$571$		−	12.7586i		−	0.533930i	−0.963706	−	0.266965i	$-0.913979\pi$
$571$		−	12.7586i		−	0.533930i	0.963706	−	0.266965i	$-0.0860208\pi$
$572$	0.0715716	+	0.212967i	0.00299256	+	0.00890458i
$573$	−17.7682	−	28.3311i	−0.742277	−	1.18355i
$574$	−24.2013	+	31.3570i	−1.01014	+	1.30882i
$575$			28.3322i			1.18153i
$576$	20.8020	−	11.9698i	0.866752	−	0.498740i
$577$	−20.4229	+	11.7912i	−0.850217	+	0.490873i	−0.860724	−	0.509072i	$-0.829989\pi$
$577$	−20.4229	+	11.7912i	−0.850217	+	0.490873i	0.0105071	+	0.999945i	$0.496655\pi$
$578$	−17.4895	+	24.3284i	−0.727465	+	1.01193i
$579$	2.21835	−	1.39127i	0.0921915	−	0.0578191i
$580$	−1.53105	−	1.35094i	−0.0635734	−	0.0560949i
$581$	21.5363	−	11.4757i	0.893475	−	0.476091i
$582$	3.76468	−	5.66252i	0.156051	−	0.234719i
$583$			0.410487i			0.0170006i
$584$	20.4785	−	4.67663i	0.847408	−	0.193521i
$585$	0.737249	−	1.52431i	0.0304815	−	0.0630227i
$586$	36.8252	+	26.4733i	1.52124	+	1.09360i
$587$	2.57608	+	4.46190i	0.106326	+	0.184162i	0.914279	−	0.405084i	$-0.132758\pi$
$587$	2.57608	+	4.46190i	0.106326	+	0.184162i	−0.807953	+	0.589247i	$0.799425\pi$
$588$	−23.2171	+	6.99750i	−0.957458	+	0.288572i
$589$	13.0022	−	22.5205i	0.535747	−	0.927941i
$590$	0.344709	−	0.155555i	0.0141915	−	0.00640410i
$591$	−1.66258	+	1.04271i	−0.0683895	+	0.0428914i
$592$	7.62345	−	5.77643i	0.313322	−	0.237410i
$593$	11.5704	+	6.68019i	0.475141	+	0.274323i	0.718389	−	0.695641i	$-0.244880\pi$
$593$	11.5704	+	6.68019i	0.475141	+	0.274323i	−0.243248	+	0.969964i	$0.578213\pi$
$594$	−0.215142	+	0.381368i	−0.00882740	+	0.0156477i
$595$	4.15330	+	2.59013i	0.170269	+	0.106185i
$596$	−2.21924	−	6.60351i	−0.0909037	−	0.270490i
$597$	30.3356	+	16.0657i	1.24155	+	0.657523i
$598$	−15.3070	−	1.53109i	−0.625950	−	0.0626109i
$599$			15.4870i			0.632782i	0.948629	+	0.316391i	$0.102471\pi$
$599$			15.4870i			0.632782i	−0.948629	+	0.316391i	$0.897529\pi$
$600$	6.24300	−	23.2316i	0.254869	−	0.948426i
$601$	−26.0865	+	15.0610i	−1.06409	+	0.614353i	−0.926561	−	0.376145i	$-0.877249\pi$
$601$	−26.0865	+	15.0610i	−1.06409	+	0.614353i	−0.137529	+	0.990498i	$0.543916\pi$
$602$	−13.9709	−	33.9987i	−0.569413	−	1.38568i
$603$	30.6783	+	14.8378i	1.24932	+	0.604244i
$604$	−18.7874	−	16.5773i	−0.764447	−	0.674522i
$605$	−2.85108	−	1.64607i	−0.115913	−	0.0669223i
$606$	−22.3581	−	1.41355i	−0.908235	−	0.0574215i
$607$	2.17014	+	3.75880i	0.0880833	+	0.152565i	0.906701	−	0.421774i	$-0.138592\pi$
$607$	2.17014	+	3.75880i	0.0880833	+	0.152565i	−0.818618	+	0.574339i	$0.805259\pi$
$608$	−19.9656	+	12.2061i	−0.809712	+	0.495024i
$609$	−7.77915	+	13.5532i	−0.315227	+	0.549205i
$610$	−1.36505	−	3.02493i	−0.0552691	−	0.122476i
$611$	−6.39339	−	3.69123i	−0.258649	−	0.149331i
$612$	−4.66962	+	36.7820i	−0.188758	+	1.48682i
$613$	13.1740	+	22.8180i	0.532091	+	0.921609i	0.999298	+	0.0374608i	$0.0119269\pi$
$613$	13.1740	+	22.8180i	0.532091	+	0.921609i	−0.467207	+	0.884148i	$0.654740\pi$
$614$	16.5150	+	1.65192i	0.666492	+	0.0666661i
$615$	4.65053	−	2.91664i	0.187527	−	0.117610i
$616$	−0.336961	+	0.292039i	−0.0135765	+	0.0117666i
$617$	8.15464	−	14.1243i	0.328294	−	0.568621i	−0.653880	−	0.756598i	$-0.726860\pi$
$617$	8.15464	−	14.1243i	0.328294	−	0.568621i	0.982173	+	0.187977i	$0.0601931\pi$
$618$	7.20359	+	4.78925i	0.289771	+	0.192652i
$619$	10.4121	−	18.0343i	0.418497	−	0.724859i	−0.577291	−	0.816538i	$-0.695890\pi$
$619$	10.4121	−	18.0343i	0.418497	−	0.724859i	0.995789	+	0.0916797i	$0.0292236\pi$
$620$	3.56784	−	1.19904i	0.143288	−	0.0481547i
$621$	−17.7421	−	24.1678i	−0.711967	−	0.969820i
$622$	39.8713	+	3.98814i	1.59869	+	0.159910i
$623$	14.2588	−	22.8642i	0.571266	−	0.916033i
$624$	12.2139	+	4.62835i	0.488949	+	0.185282i
$625$	−11.8318	−	20.4933i	−0.473272	−	0.819731i
$626$	0.453509	−	4.53394i	0.0181259	−	0.181213i
$627$	0.199816	−	0.377297i	0.00797987	−	0.0150678i
$628$	1.16967	−	5.78836i	0.0466749	−	0.230981i
$629$			14.7764i			0.589174i
$630$	3.35439	+	0.203525i	0.133642	+	0.00810864i
$631$		−	17.7969i		−	0.708484i	−0.935154	−	0.354242i	$-0.884739\pi$
$631$		−	17.7969i		−	0.708484i	0.935154	−	0.354242i	$-0.115261\pi$
$632$	1.29106	−	4.18727i	0.0513556	−	0.166561i
$633$	−38.3947	+	1.40413i	−1.52605	+	0.0558091i
$634$	43.1629	+	4.31739i	1.71422	+	0.171465i
$635$	−2.39858	−	4.15446i	−0.0951847	−	0.164865i
$636$	18.4591	+	15.1246i	0.731951	+	0.599728i
$637$	−10.9538	−	7.36006i	−0.434006	−	0.291616i
$638$	−0.0286008	+	0.285935i	−0.00113231	+	0.0113203i
$639$	3.39282	+	1.64097i	0.134218	+	0.0649157i
$640$	−3.33583	−	0.587249i	−0.131860	−	0.0232131i
$641$	11.2669	−	19.5149i	0.445017	−	0.770792i	−0.553036	−	0.833157i	$-0.686531\pi$
$641$	11.2669	−	19.5149i	0.445017	−	0.770792i	0.998053	+	0.0623651i	$0.0198643\pi$
$642$	38.4904	+	2.43349i	1.51910	+	0.0960421i
$643$	8.66706	−	15.0118i	0.341795	−	0.592007i	−0.642971	−	0.765891i	$-0.722298\pi$
$643$	8.66706	−	15.0118i	0.341795	−	0.592007i	0.984766	+	0.173884i	$0.0556317\pi$
$644$	−8.73620	−	29.2547i	−0.344255	−	1.15279i
$645$	0.186171	+	5.09068i	0.00733047	+	0.200446i
$646$	3.59817	−	35.9726i	0.141568	−	1.41532i
$647$	3.63507	+	6.29613i	0.142909	+	0.247526i	0.928591	−	0.371105i	$-0.121021\pi$
$647$	3.63507	+	6.29613i	0.142909	+	0.247526i	−0.785682	+	0.618631i	$0.787688\pi$
$648$	9.22269	+	23.7264i	0.362301	+	0.932061i
$649$	−0.0460932	−	0.0266119i	−0.00180932	−	0.00104461i
$650$	11.9331	−	5.38498i	0.468054	−	0.211216i
$651$	−14.4667	−	24.9107i	−0.566994	−	0.976329i
$652$	20.8595	+	18.4057i	0.816921	+	0.720823i
$653$	16.7111	+	28.9444i	0.653955	+	1.13268i	0.982155	+	0.188075i	$0.0602247\pi$
$653$	16.7111	+	28.9444i	0.653955	+	1.13268i	−0.328200	+	0.944608i	$0.606442\pi$
$654$	−8.60617	−	5.72174i	−0.336528	−	0.223738i
$655$	−0.906603	−	0.523428i	−0.0354239	−	0.0204520i
$656$	25.5734	+	33.7506i	0.998475	+	1.31774i
$657$	1.62742	+	22.2204i	0.0634916	+	0.866902i
$658$	1.95326	−	14.5211i	0.0761459	−	0.566091i
$659$	−30.9707	+	17.8810i	−1.20645	+	0.696543i	−0.961982	−	0.273115i	$-0.911946\pi$
$659$	−30.9707	+	17.8810i	−1.20645	+	0.696543i	−0.244467	+	0.969658i	$0.578613\pi$
$660$	0.0578184	−	0.0218136i	0.00225058	−	0.000849092i
$661$		−	25.8268i		−	1.00455i	−0.864709	−	0.502273i	$-0.832497\pi$
$661$		−	25.8268i		−	1.00455i	0.864709	−	0.502273i	$-0.167503\pi$
$662$	−2.15507	+	21.5452i	−0.0837591	+	0.837378i
$663$	−17.0947	+	10.7211i	−0.663902	+	0.416375i
$664$	−5.80808	−	25.4330i	−0.225397	−	0.986993i
$665$	−3.27481	−	0.111437i	−0.126992	−	0.00432134i
$666$	4.83714	+	8.91750i	0.187435	+	0.345546i
$667$	−17.0398	−	9.83792i	−0.659783	−	0.380926i
$668$	17.6897	−	20.0480i	0.684435	−	0.775682i
$669$	−16.7873	−	8.89050i	−0.649033	−	0.343726i
$670$	−1.97824	−	4.38377i	−0.0764261	−	0.169360i
$671$	−0.233528	+	0.404482i	−0.00901525	+	0.0156149i
$672$	0.717177	+	25.9130i	0.0276657	+	0.999617i
$673$	−4.61265	−	7.98935i	−0.177805	−	0.307967i	0.763324	−	0.646016i	$-0.223566\pi$
$673$	−4.61265	−	7.98935i	−0.177805	−	0.307967i	−0.941128	+	0.338050i	$0.890233\pi$
$674$	25.5177	−	35.4959i	0.982904	−	1.36725i
$675$	23.3602	+	10.2625i	0.899133	+	0.395005i
$676$	−6.01812	−	17.9074i	−0.231466	−	0.688745i
$677$		−	13.1110i		−	0.503898i	−0.967740	−	0.251949i	$-0.918928\pi$
$677$		−	13.1110i		−	0.503898i	0.967740	−	0.251949i	$-0.0810715\pi$
$678$	−0.479536	+	7.58481i	−0.0184165	+	0.291293i
$679$	3.45386	+	6.48182i	0.132547	+	0.248749i
$680$	3.83543	−	3.55960i	0.147082	−	0.136505i
$681$	0.857558	+	23.4492i	0.0328617	+	0.898576i
$682$	−0.430112	−	0.309203i	−0.0164698	−	0.0118400i
$683$	−3.02310	+	1.74539i	−0.115676	+	0.0667853i	−0.556721	−	0.830699i	$-0.687941\pi$
$683$	−3.02310	+	1.74539i	−0.115676	+	0.0667853i	0.441046	+	0.897485i	$0.354608\pi$
$684$	−9.60434	−	22.8872i	−0.367231	−	0.875113i
$685$		−	2.83689i		−	0.108392i
$686$	5.24812	−	25.6604i	0.200374	−	0.979719i
$687$	18.3192	−	34.5909i	0.698923	−	1.31972i
$688$	−38.9895	+	4.89225i	−1.48646	+	0.186515i
$689$			12.9875i			0.494783i
$690$	−0.266979	+	4.22281i	−0.0101637	+	0.160759i
$691$	6.44523			0.245188			0.122594	−	0.992457i	$-0.460879\pi$
$691$	6.44523			0.245188			0.122594	+	0.992457i	$0.460879\pi$
$692$	−1.90593	+	9.43190i	−0.0724525	+	0.358547i
$693$	−0.252303	−	0.400032i	−0.00958421	−	0.0151960i
$694$	−0.994188	+	9.93937i	−0.0377389	+	0.377293i
$695$			6.16122i			0.233708i
$696$	11.8044	+	11.8215i	0.447443	+	0.448095i
$697$	−65.4182			−2.47789
$698$	−25.3183	+	11.4252i	−0.958310	+	0.432451i
$699$	−1.65331	−	45.2083i	−0.0625338	−	1.70994i
$700$	18.8872	+	17.8439i	0.713868	+	0.674434i
$701$	33.8067			1.27686			0.638431	−	0.769679i	$-0.279584\pi$
$701$	33.8067			1.27686			0.638431	+	0.769679i	$0.279584\pi$
$702$	−6.80693	+	12.0662i	−0.256911	+	0.455409i
$703$	−4.94590	−	8.56655i	−0.186538	−	0.323094i
$704$	0.206929	+	0.429434i	0.00779895	+	0.0161849i
$705$	−0.950334	+	1.79445i	−0.0357917	+	0.0675828i
$706$	−4.99042	−	3.58757i	−0.187817	−	0.135020i
$707$	12.8045	−	20.5322i	0.481564	−	0.772194i
$708$	−2.89503	+	1.09223i	−0.108802	+	0.0410485i
$709$	−47.6560			−1.78976			−0.894880	−	0.446308i	$-0.852739\pi$
$709$	−47.6560			−1.78976			−0.894880	+	0.446308i	$0.852739\pi$
$710$	−0.218780	−	0.484816i	−0.00821068	−	0.0181948i
$711$	4.18392	+	2.02359i	0.156909	+	0.0758906i
$712$	−19.5958	−	21.1143i	−0.734384	−	0.791291i
$713$	31.4109	−	18.1351i	1.17635	−	0.679165i
$714$	−32.5766	−	23.2938i	−1.21915	−	0.871750i
$715$	0.0291256	+	0.0168157i	0.00108924	+	0.000628870i
$716$	−19.7901	+	6.65084i	−0.739590	+	0.248554i
$717$	49.6322	−	1.81509i	1.85355	−	0.0677858i
$718$	11.4675	+	8.24389i	0.427964	+	0.307659i
$719$	20.7997	−	36.0262i	0.775699	−	1.34355i	−0.158702	−	0.987327i	$-0.550731\pi$
$719$	20.7997	−	36.0262i	0.775699	−	1.34355i	0.934401	−	0.356224i	$-0.115936\pi$
$720$	1.14941	−	3.40376i	0.0428361	−	0.126850i
$721$	−8.24586	+	4.39383i	−0.307092	+	0.163635i
$722$	−1.09769	−	2.43248i	−0.0408519	−	0.0905277i
$723$	18.4761	−	0.675688i	0.687134	−	0.0251291i
$724$	−5.29257	+	26.1914i	−0.196697	+	0.973397i
$725$	16.7449			0.621890
$726$	22.4307	+	14.9129i	0.832482	+	0.553469i
$727$	12.4339	+	21.5361i	0.461147	+	0.798730i	0.999018	−	0.0442969i	$-0.0141048\pi$
$727$	12.4339	+	21.5361i	0.461147	+	0.798730i	−0.537871	+	0.843027i	$0.680771\pi$
$728$	−10.6612	+	9.23987i	−0.395129	+	0.342453i
$729$	−26.3532	+	5.87448i	−0.976044	+	0.217573i
$730$	1.83541	−	2.55311i	0.0679315	−	0.0944948i
$731$	30.3533	−	52.5734i	1.12266	−	1.94450i
$732$	9.58466	+	25.4048i	0.354259	+	0.938989i
$733$	−22.2455	+	12.8434i	−0.821655	+	0.474383i	−0.850987	−	0.525187i	$-0.823995\pi$
$733$	−22.2455	+	12.8434i	−0.821655	+	0.474383i	0.0293318	+	0.999570i	$0.490662\pi$
$734$	−5.44830	+	7.57875i	−0.201100	+	0.279737i
$735$	−1.91294	+	3.08484i	−0.0705599	+	0.113786i
$736$	−32.6290	+	0.820140i	−1.20272	+	0.0302308i
$737$	−0.338432	+	0.586181i	−0.0124663	+	0.0215922i
$738$	−39.4796	+	21.4150i	−1.45326	+	0.788297i
$739$	7.36004	−	4.24932i	0.270743	−	0.156314i	−0.358482	−	0.933537i	$-0.616706\pi$
$739$	7.36004	−	4.24932i	0.270743	−	0.156314i	0.629225	+	0.777223i	$0.283372\pi$
$740$	0.283587	−	1.40339i	0.0104249	−	0.0515897i
$741$	6.32201	−	11.9374i	0.232245	−	0.438531i
$742$	−23.8416	+	9.79714i	−0.875253	+	0.359664i
$743$	−7.11078	−	4.10541i	−0.260869	−	0.150613i	0.363862	−	0.931453i	$-0.381458\pi$
$743$	−7.11078	−	4.10541i	−0.260869	−	0.150613i	−0.624731	+	0.780840i	$0.714791\pi$
$744$	−29.7522	+	7.94889i	−1.09077	+	0.291420i
$745$	−0.903106	−	0.521408i	−0.0330872	−	0.0191029i
$746$	−15.4371	−	34.2086i	−0.565193	−	1.25246i
$747$	27.5964	−	2.02115i	1.00970	−	0.0739500i
$748$	−0.721841	−	0.145864i	−0.0263931	−	0.00533332i
$749$	−22.0436	+	35.3471i	−0.805455	+	1.29156i
$750$	−3.22944	−	6.51068i	−0.117922	−	0.237736i
$751$	35.3527	−	20.4109i	1.29004	−	0.744804i	0.311378	−	0.950286i	$-0.399209\pi$
$751$	35.3527	−	20.4109i	1.29004	−	0.744804i	0.978661	+	0.205482i	$0.0658761\pi$
$752$	−14.4345	−	6.08198i	−0.526372	−	0.221787i
$753$	30.0812	−	18.8658i	1.09622	−	0.687510i
$754$	−0.904905	+	9.04676i	−0.0329547	+	0.329464i
$755$	−3.75057			−0.136497
$756$	−27.2852	−	3.39359i	−0.992354	−	0.123424i
$757$	−7.66392			−0.278550			−0.139275	−	0.990254i	$-0.544477\pi$
$757$	−7.66392			−0.278550			−0.139275	+	0.990254i	$0.544477\pi$
$758$	−3.59395	+	35.9304i	−0.130538	+	1.30505i
$759$	0.504481	−	0.316392i	0.0183115	−	0.0114843i
$760$	−1.03212	+	3.34744i	−0.0374388	+	0.121425i
$761$	−0.699473	+	0.403841i	−0.0253559	+	0.0146392i	−0.512624	−	0.858613i	$-0.671327\pi$
$761$	−0.699473	+	0.403841i	−0.0253559	+	0.0146392i	0.487268	+	0.873252i	$0.337993\pi$
$762$	17.4409	+	35.1615i	0.631816	+	1.27377i
$763$	9.85138	−	5.24934i	0.356644	−	0.190039i
$764$	7.64850	−	37.8503i	0.276713	−	1.36938i
$765$	3.11874	+	4.59102i	0.112758	+	0.165989i
$766$	−9.83650	−	21.7976i	−0.355407	−	0.787581i
$767$	−1.45835	−	0.841980i	−0.0526580	−	0.0304021i
$768$	26.9356	+	6.51731i	0.971954	+	0.235173i
$769$	−4.81745	−	2.78135i	−0.173722	−	0.100298i	0.410618	−	0.911808i	$-0.365313\pi$
$769$	−4.81745	−	2.78135i	−0.173722	−	0.100298i	−0.584339	+	0.811509i	$0.698646\pi$
$770$	−0.00889821	+	0.0661520i	−0.000320669	+	0.00238395i
$771$	3.75189	−	7.08442i	0.135121	−	0.255139i
$772$	2.96371	+	0.598885i	0.106666	+	0.0215543i
$773$	28.2130	−	16.2888i	1.01475	−	0.585867i	0.102172	−	0.994767i	$-0.467421\pi$
$773$	28.2130	−	16.2888i	1.01475	−	0.585867i	0.912579	+	0.408900i	$0.134087\pi$
$774$	1.10788	−	41.6641i	0.0398221	−	1.49759i
$775$	−15.4337	+	26.7319i	−0.554394	+	0.960238i
$776$	7.65464	−	1.74807i	0.274786	−	0.0627522i
$777$	−10.9577	+	0.0278237i	−0.393107	+	0.000998170i
$778$	17.0848	−	23.7655i	0.612520	−	0.852035i
$779$	37.9259	−	21.8965i	1.35884	−	0.784524i
$780$	1.82933	−	0.690164i	0.0655004	−	0.0247118i
$781$	−0.0374283	+	0.0648277i	−0.00133929	+	0.00231972i
$782$	29.4330	−	40.9422i	1.05252	−	1.46409i
$783$	−14.2837	+	10.4860i	−0.510456	+	0.374738i
$784$	−25.0043	−	12.6010i	−0.893010	−	0.450036i
$785$	−0.441990	−	0.765550i	−0.0157753	−	0.0273236i
$786$	7.13265	+	4.74208i	0.254413	+	0.169145i
$787$	−1.41673			−0.0505011			−0.0252505	−	0.999681i	$-0.508038\pi$
$787$	−1.41673			−0.0505011			−0.0252505	+	0.999681i	$0.508038\pi$
$788$	−2.22121	−	0.448845i	−0.0791273	−	0.0159894i
$789$	−51.6442	+	1.88867i	−1.83858	+	0.0672385i
$790$	−0.269793	−	0.597860i	−0.00959881	−	0.0212709i
$791$	−6.96541	−	4.34384i	−0.247661	−	0.154449i
$792$	−0.483377	+	0.148270i	−0.0171761	+	0.00526855i
$793$	−7.38864	+	12.7975i	−0.262378	+	0.454452i
$794$	19.7535	+	14.2006i	0.701026	+	0.503961i
$795$	3.56985	−	0.130552i	0.126609	−	0.00463022i
$796$	12.6270	+	37.5726i	0.447552	+	1.33172i
$797$	12.1430	+	7.01075i	0.430126	+	0.248333i	0.699400	−	0.714730i	$-0.253450\pi$
$797$	12.1430	+	7.01075i	0.430126	+	0.248333i	−0.269274	+	0.963064i	$0.586784\pi$
$798$	26.6830	+	2.60056i	0.944567	+	0.0920588i
$799$	20.9563	−	12.0991i	0.741382	−	0.428037i
$800$	23.6992	−	14.4887i	0.837894	−	0.512253i
$801$	25.2738	−	17.1689i	0.893006	−	0.606632i
$802$	−12.8487	−	28.4726i	−0.453703	−	1.00540i
$803$	−0.442526			−0.0156164
$804$	13.8902	+	36.8170i	0.489870	+	1.29843i
$805$	−3.87796	−	2.41841i	−0.136680	−	0.0852378i
$806$	−13.6084	−	9.78295i	−0.479335	−	0.344590i
$807$	−12.5368	+	23.6723i	−0.441315	+	0.833304i
$808$	−17.5972	−	18.9608i	−0.619069	−	0.667040i
$809$	9.64172	+	16.7000i	0.338985	+	0.587139i	0.984242	−	0.176826i	$-0.0565831\pi$
$809$	9.64172	+	16.7000i	0.338985	+	0.587139i	−0.645257	+	0.763965i	$0.723250\pi$
$810$	3.38504	+	1.74972i	0.118938	+	0.0614789i
$811$	18.8626			0.662355			0.331178	−	0.943568i	$-0.392554\pi$
$811$	18.8626			0.662355			0.331178	+	0.943568i	$0.392554\pi$
$812$	−17.2901	+	5.16328i	−0.606764	+	0.181196i
$813$	−1.44349	−	39.4709i	−0.0506253	−	1.38431i
$814$	−0.183665	+	0.0828814i	−0.00643745	+	0.00290499i
$815$	4.16424			0.145867
$816$	−33.1559	+	27.0859i	−1.16069	+	0.948197i
$817$			40.6389i			1.42177i
$818$	−3.66319	+	36.6226i	−0.128080	+	1.28048i
$819$	−7.98267	−	12.6567i	−0.278937	−	0.442261i
$820$	6.21310	+	1.25550i	0.216971	+	0.0438438i
$821$	7.86619			0.274532			0.137266	−	0.990534i	$-0.456169\pi$
$821$	7.86619			0.274532			0.137266	+	0.990534i	$0.456169\pi$
$822$	−1.46454	+	23.1646i	−0.0510818	+	0.807960i
$823$		−	21.2654i		−	0.741266i	−0.928779	−	0.370633i	$-0.879141\pi$
$823$		−	21.2654i		−	0.741266i	0.928779	−	0.370633i	$-0.120859\pi$
$824$	2.22381	+	9.73787i	0.0774703	+	0.339235i
$825$	−0.237182	+	0.447853i	−0.00825761	+	0.0155922i
$826$	0.445544	−	3.31230i	0.0155024	−	0.115250i
$827$		−	18.3753i		−	0.638973i	−0.947591	−	0.319486i	$-0.896490\pi$
$827$		−	18.3753i		−	0.638973i	0.947591	−	0.319486i	$-0.103510\pi$
$828$	4.36004	−	34.3435i	0.151522	−	1.19352i
$829$	24.2558	−	14.0041i	0.842438	−	0.486382i	−0.0156543	−	0.999877i	$-0.504983\pi$
$829$	24.2558	−	14.0041i	0.842438	−	0.486382i	0.858092	+	0.513496i	$0.171650\pi$
$830$	−3.17080	−	2.27946i	−0.110060	−	0.0791213i
$831$	−1.23626	−	33.8044i	−0.0428852	−	1.17266i
$832$	6.54708	+	13.5870i	0.226979	+	0.471043i
$833$	38.8451	−	19.0318i	1.34590	−	0.659412i
$834$	3.18072	−	50.3094i	0.110139	−	1.74207i
$835$		−	4.00224i		−	0.138503i
$836$	0.467307	−	0.157048i	0.0161621	−	0.00543161i
$837$	−3.57486	−	32.4676i	−0.123565	−	1.12224i
$838$	7.40782	−	10.3045i	0.255899	−	0.355963i
$839$	−2.88329	−	4.99401i	−0.0995422	−	0.172412i	0.811953	−	0.583723i	$-0.198405\pi$
$839$	−2.88329	−	4.99401i	−0.0995422	−	0.172412i	−0.911495	+	0.411311i	$0.865071\pi$
$840$	2.64692	+	2.83754i	0.0913274	+	0.0979044i
$841$	8.68558	−	15.0439i	0.299503	−	0.518754i
$842$	−6.09564	−	13.5079i	−0.210070	−	0.465513i
$843$	11.1970	+	5.92989i	0.385644	+	0.204236i
$844$	−33.2656	−	29.3524i	−1.14505	−	1.01035i
$845$	−2.44904	−	1.41395i	−0.0842494	−	0.0486414i
$846$	8.68634	−	14.1620i	0.298643	−	0.486898i
$847$	−25.6762	+	13.6816i	−0.882244	+	0.470106i
$848$	3.43069	+	27.3414i	0.117810	+	0.938907i
$849$	27.5630	−	17.2865i	0.945959	−	0.593271i
$850$	−4.27104	+	42.6996i	−0.146495	+	1.46458i
$851$		−	13.7968i		−	0.472948i
$852$	1.53617	+	4.07171i	0.0526282	+	0.139495i
$853$	−17.4956	+	10.1011i	−0.599039	+	0.345855i	−0.768663	−	0.639653i	$-0.779078\pi$
$853$	−17.4956	+	10.1011i	−0.599039	+	0.345855i	0.169624	+	0.985509i	$0.445745\pi$
$854$	−29.0665	−	3.90979i	−0.994636	−	0.133790i
$855$	−3.34476	−	1.61773i	−0.114389	−	0.0553250i
$856$	30.2944	+	32.6419i	1.03544	+	1.11568i
$857$	30.3242	+	17.5077i	1.03585	+	0.598050i	0.918656	−	0.395058i	$-0.129276\pi$
$857$	30.3242	+	17.5077i	1.03585	+	0.598050i	0.117197	+	0.993109i	$0.462609\pi$
$858$	−0.229144	−	0.152344i	−0.00782285	−	0.00520095i
$859$	−18.5799	−	32.1813i	−0.633938	−	1.09801i	−0.986739	−	0.162315i	$-0.948104\pi$
$859$	−18.5799	−	32.1813i	−0.633938	−	1.09801i	0.352801	−	0.935698i	$-0.385229\pi$
$860$	−3.89179	+	4.41063i	−0.132709	+	0.150401i
$861$	−0.123181	−	48.5122i	−0.00419801	−	1.65329i
$862$	5.76883	−	2.60327i	0.196487	−	0.0886677i
$863$	1.14573	+	0.661488i	0.0390012	+	0.0225173i	0.519374	−	0.854547i	$-0.326165\pi$
$863$	1.14573	+	0.661488i	0.0390012	+	0.0225173i	−0.480373	+	0.877064i	$0.659499\pi$
$864$	−11.1427	+	27.2000i	−0.379083	+	0.925363i
$865$	0.720205	+	1.24743i	0.0244877	+	0.0424139i
$866$	−2.71618	+	27.1549i	−0.0922995	+	0.922761i
$867$	−1.34112	−	36.6719i	−0.0455469	−	1.24544i
$868$	7.69343	−	32.3613i	0.261132	−	1.09841i
$869$	−0.0461554	+	0.0799435i	−0.00156571	+	0.00271190i
$870$	2.49577	+	0.157790i	0.0846144	+	0.00534959i
$871$	−10.7077	+	18.5463i	−0.362817	+	0.628417i
$872$	−2.65681	−	11.6339i	−0.0899708	−	0.393973i
$873$	0.608310	+	8.30575i	0.0205882	+	0.281107i
$874$	−3.35963	+	33.5878i	−0.113641	+	1.13612i
$875$	7.84538	+	0.266967i	0.265222	+	0.00902512i
$876$	−16.3051	+	19.8999i	−0.550898	+	0.672355i
$877$	19.8881	+	34.4471i	0.671572	+	1.16320i	0.977458	+	0.211128i	$0.0677138\pi$
$877$	19.8881	+	34.4471i	0.671572	+	1.16320i	−0.305887	+	0.952068i	$0.598953\pi$
$878$	33.7649	+	3.37734i	1.13951	+	0.113980i
$879$	−55.5093	+	2.03002i	−1.87228	+	0.0684709i
$880$	0.0657575	+	0.0277069i	0.00221669	+	0.000934000i
$881$			9.29402i			0.313123i	0.987668	+	0.156562i	$0.0500410\pi$
$881$			9.29402i			0.313123i	−0.987668	+	0.156562i	$0.949959\pi$
$882$	17.2127	−	24.2017i	0.579581	−	0.814915i
$883$			52.5549i			1.76861i	0.466905	+	0.884307i	$0.345369\pi$
$883$			52.5549i			1.76861i	−0.466905	+	0.884307i	$0.654631\pi$
$884$	−22.8385	−	4.61503i	−0.768141	−	0.155220i
$885$	−0.216774	+	0.409319i	−0.00728678	+	0.0137591i
$886$	−0.0879647	+	0.879424i	−0.00295523	+	0.0295448i
$887$	24.2905	+	42.0724i	0.815596	+	1.41265i	0.908899	+	0.417016i	$0.136924\pi$
$887$	24.2905	+	42.0724i	0.815596	+	1.41265i	−0.0933030	+	0.995638i	$0.529743\pi$
$888$	−3.04013	+	11.3130i	−0.102020	+	0.379639i
$889$	−42.3697	−	1.44178i	−1.42103	−	0.0483557i
$890$	−4.29065	−	0.429174i	−0.143823	−	0.0143860i
$891$	−0.0781343	−	0.530554i	−0.00261760	−	0.0177742i
$892$	−6.98760	−	20.7921i	−0.233962	−	0.696171i
$893$	−8.09956	+	14.0288i	−0.271041	+	0.469457i
$894$	7.10514	+	4.72379i	0.237631	+	0.157987i
$895$	−1.56261	+	2.70652i	−0.0522322	+	0.0904689i
$896$	−20.0033	+	22.2681i	−0.668263	+	0.743925i
$897$	15.9614	−	10.0104i	0.532934	−	0.334237i
$898$	31.2820	+	3.12899i	1.04389	+	0.104416i
$899$	−10.7182	−	18.5645i	−0.357473	−	0.619161i
$900$	11.4004	+	27.1671i	0.380012	+	0.905572i
$901$	−36.8671	−	21.2853i	−1.22822	−	0.709115i
$902$	−0.366933	−	0.813122i	−0.0122175	−	0.0270740i
$903$	39.0440	+	22.4101i	1.29930	+	0.745761i
$904$	−6.43232	+	5.96973i	−0.213936	+	0.198550i
$905$	1.99994	+	3.46399i	0.0664801	+	0.115147i
$906$	30.6253	+	1.93623i	1.01746	+	0.0643270i
$907$	−2.86507	−	1.65415i	−0.0951330	−	0.0549251i	0.451679	−	0.892181i	$-0.350825\pi$
$907$	−2.86507	−	1.65415i	−0.0951330	−	0.0549251i	−0.546812	+	0.837256i	$0.684159\pi$
$908$	−17.9267	+	20.3167i	−0.594919	+	0.674233i
$909$	22.6961	−	15.4178i	0.752783	−	0.511377i
$910$	−0.281532	+	2.09300i	−0.00933271	+	0.0693821i
$911$	−30.5080	+	17.6138i	−1.01078	+	0.583571i	−0.911419	−	0.411480i	$-0.865012\pi$
$911$	−30.5080	+	17.6138i	−1.01078	+	0.583571i	−0.0993568	+	0.995052i	$0.531679\pi$
$912$	10.1559	−	26.8007i	0.336295	−	0.887461i
$913$			0.549590i			0.0181888i
$914$	−5.37874	−	0.538010i	−0.177913	−	0.0177958i
$915$	3.59190	+	1.90226i	0.118745	+	0.0628868i
$916$	42.8430	−	14.3982i	1.41557	−	0.475731i
$917$	−8.16466	+	4.35057i	−0.269621	+	0.143668i
$918$	−23.0960	−	39.0980i	−0.762282	−	1.29043i
$919$	17.1249	+	9.88707i	0.564899	+	0.326144i	0.755109	−	0.655599i	$-0.227584\pi$
$919$	17.1249	+	9.88707i	0.564899	+	0.326144i	−0.190211	+	0.981743i	$0.560917\pi$
$920$	−3.58116	+	3.32362i	−0.118067	+	0.109576i
$921$	−17.2210	+	10.8004i	−0.567452	+	0.355885i
$922$	1.14171	−	0.515214i	0.0376003	−	0.0169677i
$923$	−1.18420	+	2.05110i	−0.0389785	+	0.0675127i
$924$	0.106809	−	0.535570i	0.00351377	−	0.0176190i
$925$	5.87080	+	10.1685i	0.193031	+	0.334339i
$926$	20.8899	+	15.0175i	0.686483	+	0.493507i
$927$	−10.5662	+	0.773863i	−0.347039	+	0.0254170i
$928$	0.484720	+	19.2844i	0.0159117	+	0.633041i
$929$			1.99581i			0.0654805i	0.999464	+	0.0327402i	$0.0104234\pi$
$929$			1.99581i			0.0654805i	−0.999464	+	0.0327402i	$0.989577\pi$
$930$	−2.55223	+	3.83886i	−0.0836910	+	0.125881i
$931$	−16.1500	+	24.0356i	−0.529295	+	0.787737i
$932$	34.5614	−	39.1690i	1.13210	−	1.28302i
$933$	−41.5758	+	26.0748i	−1.36113	+	0.853651i
$934$	6.41328	−	8.92107i	0.209849	−	0.291906i
$935$	−0.0954683	+	0.0551186i	−0.00312215	+	0.00180257i
$936$	−15.2937	+	4.69115i	−0.499889	+	0.153335i
$937$		−	21.3537i		−	0.697596i	−0.937198	−	0.348798i	$-0.886590\pi$
$937$		−	21.3537i		−	0.697596i	0.937198	−	0.348798i	$-0.113410\pi$
$938$	−42.1236	−	5.66611i	−1.37538	−	0.185005i
$939$	2.96508	+	4.72776i	0.0967617	+	0.154285i
$940$	−2.22254	+	0.746927i	−0.0724911	+	0.0243621i
$941$		−	25.7445i		−	0.839247i	−0.907698	−	0.419624i	$-0.862162\pi$
$941$		−	25.7445i		−	0.839247i	0.907698	−	0.419624i	$-0.137838\pi$
$942$	3.21386	+	6.47928i	0.104713	+	0.211106i
$943$	61.0813			1.98908
$944$	−3.29255	−	1.38732i	−0.107163	−	0.0451533i
$945$	−3.39869	+	2.32141i	−0.110559	+	0.0755156i
$946$	0.823718	+	0.0823927i	0.0267814	+	0.00267882i
$947$			12.4576i			0.404817i	0.979301	+	0.202409i	$0.0648769\pi$
$947$			12.4576i			0.404817i	−0.979301	+	0.202409i	$0.935123\pi$
$948$	1.89435	+	5.02111i	0.0615257	+	0.163078i
$949$	−14.0012			−0.454498
$950$	−11.8161	−	26.1844i	−0.383365	−	0.849536i
$951$	−45.0081	+	28.2274i	−1.45949	+	0.915337i
$952$	−8.75628	−	45.4068i	−0.283793	−	1.47164i
$953$	4.74584			0.153733			0.0768665	−	0.997041i	$-0.475508\pi$
$953$	4.74584			0.153733			0.0768665	+	0.997041i	$0.475508\pi$
$954$	−29.2170	−	0.776905i	−0.945935	−	0.0251532i
$955$	−2.89019	−	5.00595i	−0.0935243	−	0.161989i
$956$	43.0019	+	37.9434i	1.39078	+	1.22718i
$957$	−0.186994	−	0.298159i	−0.00604466	−	0.00963810i
$958$	−2.79398	+	3.88652i	−0.0902695	+	0.125568i
$959$	−21.2729	−	13.2665i	−0.686939	−	0.428396i
$960$	3.66881	−	1.93617i	0.118410	−	0.0624895i
$961$	8.51570			0.274700
$962$	−5.81101	+	2.62230i	−0.187354	+	0.0845464i
$963$	−39.0724	+	26.5424i	−1.25909	+	0.855318i
$964$	16.0079	+	14.1248i	0.515581	+	0.454931i
$965$	0.391971	−	0.226305i	0.0126180	−	0.00728500i
$966$	30.4170	+	21.7496i	0.978650	+	0.699780i
$967$	−24.7846	−	14.3094i	−0.797020	−	0.460160i	0.0454079	−	0.998969i	$-0.485541\pi$
$967$	−24.7846	−	14.3094i	−0.797020	−	0.460160i	−0.842428	+	0.538809i	$0.818875\pi$
$968$	6.92457	+	30.3220i	0.222564	+	0.974587i
$969$	23.5251	+	37.5104i	0.755736	+	1.20501i
$970$	0.686055	−	0.954323i	0.0220279	−	0.0306415i
$971$	−23.7362	+	41.1122i	−0.761729	+	1.31935i	0.180229	+	0.983625i	$0.442316\pi$
$971$	−23.7362	+	41.1122i	−0.761729	+	1.31935i	−0.941958	+	0.335729i	$0.891017\pi$
$972$	−26.7373	−	16.0349i	−0.857599	−	0.514319i
$973$	46.2010	+	28.8124i	1.48114	+	0.923682i
$974$	−25.4985	+	11.5065i	−0.817023	+	0.368694i
$975$	−7.50425	+	14.1697i	−0.240328	+	0.453794i
$976$	−12.1741	+	28.8932i	−0.389685	+	0.924849i
$977$	9.39939			0.300713			0.150357	−	0.988632i	$-0.451958\pi$
$977$	9.39939			0.300713			0.150357	+	0.988632i	$0.451958\pi$
$978$	−34.0031	−	2.14978i	−1.08730	−	0.0687425i
$979$	0.303431	+	0.525558i	0.00969770	+	0.0167969i
$980$	−4.05457	+	1.06204i	−0.129518	+	0.0339255i
$981$	12.6235	−	0.924539i	0.403036	−	0.0295183i
$982$	28.7029	+	20.6343i	0.915947	+	0.658466i
$983$	−20.5769	+	35.6402i	−0.656301	+	1.13675i	0.325265	+	0.945623i	$0.394547\pi$
$983$	−20.5769	+	35.6402i	−0.656301	+	1.13675i	−0.981566	+	0.191124i	$0.938787\pi$
$984$	−50.0850	−	13.4593i	−1.59665	−	0.429066i
$985$	−0.293770	+	0.169608i	−0.00936028	+	0.00540416i
$986$	−24.1977	−	17.3955i	−0.770612	−	0.553986i
$987$	9.01183	+	15.5178i	0.286850	+	0.493938i
$988$	14.7852	−	4.96886i	0.470380	−	0.158081i
$989$	−28.3410	+	49.0880i	−0.901191	+	1.56091i
$990$	−0.0395713	+	0.0645159i	−0.00125766	+	0.00205045i
$991$	−16.7767	+	9.68604i	−0.532930	+	0.307687i	−0.742209	−	0.670169i	$-0.766222\pi$
$991$	−16.7767	+	9.68604i	−0.532930	+	0.307687i	0.209279	+	0.977856i	$0.432888\pi$
$992$	−31.2328	−	17.0005i	−0.991641	−	0.539766i
$993$	−14.0900	−	22.4662i	−0.447133	−	0.712945i
$994$	−4.65859	−	0.626634i	−0.147761	−	0.0198756i
$995$	5.13847	+	2.96670i	0.162901	+	0.0940507i
$996$	24.7144	+	20.2499i	0.783106	+	0.641642i
$997$	19.2867	+	11.1352i	0.610817	+	0.352655i	0.773285	−	0.634059i	$-0.218612\pi$
$997$	19.2867	+	11.1352i	0.610817	+	0.352655i	−0.162468	+	0.986714i	$0.551946\pi$
$998$	−1.70211	+	0.768104i	−0.0538795	+	0.0243139i
$999$	−11.3756	−	4.99751i	−0.359908	−	0.158114i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	252.2.bj.b.103.3	yes	84
3.2	odd	2		756.2.bj.b.523.40		84
4.3	odd	2	inner	252.2.bj.b.103.4	yes	84
7.3	odd	6		252.2.n.b.31.31	yes	84
9.2	odd	6		756.2.n.b.19.17		84
9.7	even	3		252.2.n.b.187.26	yes	84
12.11	even	2		756.2.bj.b.523.39		84
21.17	even	6		756.2.n.b.199.12		84
28.3	even	6		252.2.n.b.31.26	✓	84
36.7	odd	6		252.2.n.b.187.31	yes	84
36.11	even	6		756.2.n.b.19.12		84
63.38	even	6		756.2.bj.b.451.40		84
63.52	odd	6	inner	252.2.bj.b.115.3	yes	84
84.59	odd	6		756.2.n.b.199.17		84
252.115	even	6	inner	252.2.bj.b.115.4	yes	84
252.227	odd	6		756.2.bj.b.451.39		84

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
252.2.n.b.31.26	✓	84	28.3	even	6
252.2.n.b.31.31	yes	84	7.3	odd	6
252.2.n.b.187.26	yes	84	9.7	even	3
252.2.n.b.187.31	yes	84	36.7	odd	6
252.2.bj.b.103.3	yes	84	1.1	even	1	trivial
252.2.bj.b.103.4	yes	84	4.3	odd	2	inner
252.2.bj.b.115.3	yes	84	63.52	odd	6	inner
252.2.bj.b.115.4	yes	84	252.115	even	6	inner
756.2.n.b.19.12		84	36.11	even	6
756.2.n.b.19.17		84	9.2	odd	6
756.2.n.b.199.12		84	21.17	even	6
756.2.n.b.199.17		84	84.59	odd	6
756.2.bj.b.451.39		84	252.227	odd	6
756.2.bj.b.451.40		84	63.38	even	6
756.2.bj.b.523.39		84	12.11	even	2
756.2.bj.b.523.40		84	3.2	odd	2

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:	\( N \)	\(=\)	\( 252 = 2^{2} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	252.bj (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.40719 - 0.140755i) q^{2} +(1.46735 - 0.920267i) q^{3} +(1.96038 + 0.396138i) q^{4} +(0.259273 - 0.149691i) q^{5} +(-2.19437 + 1.08846i) q^{6} +(0.0899789 - 2.64422i) q^{7} +(-2.70287 - 0.833374i) q^{8} +(1.30622 - 2.70070i) q^{9} +O(q^{10})\)	\(q+(-1.40719 - 0.140755i) q^{2} +(1.46735 - 0.920267i) q^{3} +(1.96038 + 0.396138i) q^{4} +(0.259273 - 0.149691i) q^{5} +(-2.19437 + 1.08846i) q^{6} +(0.0899789 - 2.64422i) q^{7} +(-2.70287 - 0.833374i) q^{8} +(1.30622 - 2.70070i) q^{9} +(-0.385916 + 0.174150i) q^{10} +(0.0516032 + 0.0297931i) q^{11} +(3.24111 - 1.22280i) q^{12} +(1.63268 + 0.942631i) q^{13} +(-0.498804 + 3.70826i) q^{14} +(0.242688 - 0.458249i) q^{15} +(3.68615 + 1.55316i) q^{16} +(-5.35164 + 3.08977i) q^{17} +(-2.21824 + 3.61655i) q^{18} +(2.06839 - 3.58256i) q^{19} +(0.567571 - 0.190743i) q^{20} +(-2.30136 - 3.96280i) q^{21} +(-0.0684221 - 0.0491880i) q^{22} +(4.99685 - 2.88493i) q^{23} +(-4.73297 + 1.26451i) q^{24} +(-2.45519 + 4.25251i) q^{25} +(-2.16482 - 1.55627i) q^{26} +(-0.568688 - 5.16494i) q^{27} +(1.22387 - 5.14802i) q^{28} +(-1.70505 - 2.95324i) q^{29} +(-0.406009 + 0.610685i) q^{30} +6.28615 q^{31} +(-4.96850 - 2.70444i) q^{32} +(0.103137 - 0.00377183i) q^{33} +(7.96568 - 3.59463i) q^{34} +(-0.372488 - 0.699044i) q^{35} +(3.63053 - 4.77695i) q^{36} +(1.19559 - 2.07083i) q^{37} +(-3.41488 + 4.75021i) q^{38} +(3.26319 - 0.119338i) q^{39} +(-0.825529 + 0.188524i) q^{40} +(9.16797 + 5.29313i) q^{41} +(2.68067 + 5.90034i) q^{42} +(-8.50766 + 4.91190i) q^{43} +(0.0893595 + 0.0788477i) q^{44} +(-0.0656043 - 0.895748i) q^{45} +(-7.43759 + 3.35632i) q^{46} -3.91588 q^{47} +(6.83818 - 1.11322i) q^{48} +(-6.98381 - 0.475848i) q^{49} +(4.05348 - 5.63851i) q^{50} +(-5.00930 + 9.45870i) q^{51} +(2.82726 + 2.49468i) q^{52} +(3.44447 + 5.96600i) q^{53} +(0.0732630 + 7.34810i) q^{54} +0.0178391 q^{55} +(-2.44683 + 7.07199i) q^{56} +(-0.261859 - 7.16033i) q^{57} +(1.98365 + 4.39577i) q^{58} -0.893223 q^{59} +(0.657289 - 0.802203i) q^{60} +7.83832i q^{61} +(-8.84582 - 0.884806i) q^{62} +(-7.02372 - 3.69694i) q^{63} +(6.61097 + 4.50500i) q^{64} +0.564414 q^{65} +(-0.145665 - 0.00920941i) q^{66} +11.3594i q^{67} +(-11.7152 + 3.93712i) q^{68} +(4.67721 - 8.83163i) q^{69} +(0.425768 + 1.03612i) q^{70} +1.25627i q^{71} +(-5.78123 + 6.21107i) q^{72} +(-6.43167 + 3.71333i) q^{73} +(-1.97391 + 2.74576i) q^{74} +(0.310828 + 8.49933i) q^{75} +(5.47401 - 6.20379i) q^{76} +(0.0834228 - 0.133770i) q^{77} +(-4.60873 - 0.291379i) q^{78} +1.54920i q^{79} +(1.18821 - 0.149092i) q^{80} +(-5.58758 - 7.05542i) q^{81} +(-12.1561 - 8.73889i) q^{82} +(4.61172 + 7.98773i) q^{83} +(-2.94171 - 8.68023i) q^{84} +(-0.925022 + 1.60219i) q^{85} +(12.6633 - 5.71449i) q^{86} +(-5.21968 - 2.76433i) q^{87} +(-0.114648 - 0.123532i) q^{88} +(8.82012 + 5.09230i) q^{89} +(-0.0337630 + 1.26972i) q^{90} +(2.63943 - 4.23236i) q^{91} +(10.9385 - 3.67611i) q^{92} +(9.22397 - 5.78493i) q^{93} +(5.51039 + 0.551178i) q^{94} -1.23848i q^{95} +(-9.77932 + 0.604000i) q^{96} +(-2.40408 + 1.38800i) q^{97} +(9.76058 + 1.65261i) q^{98} +(0.147867 - 0.100449i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 84 q + 2 q^{2} - 2 q^{4} + 6 q^{5} - 16 q^{8} + 4 q^{9}+O(q^{10}) \) 84 * q + 2 * q^2 - 2 * q^4 + 6 * q^5 - 16 * q^8 + 4 * q^9	\( 84 q + 2 q^{2} - 2 q^{4} + 6 q^{5} - 16 q^{8} + 4 q^{9} - 18 q^{10} - 6 q^{12} + 18 q^{13} + 14 q^{14} + 14 q^{16} + 6 q^{17} - 10 q^{18} - 24 q^{20} + 4 q^{21} + 6 q^{22} - 6 q^{24} + 16 q^{25} - 30 q^{26} - 4 q^{28} + 10 q^{29} + 11 q^{30} - 18 q^{32} - 18 q^{33} - 24 q^{34} - 38 q^{36} + 2 q^{37} + 33 q^{38} + 6 q^{40} + 6 q^{41} - 38 q^{42} - 13 q^{44} - 54 q^{45} + 10 q^{46} + 9 q^{48} - 28 q^{49} - 17 q^{50} - 27 q^{52} - 2 q^{53} - 39 q^{54} + 58 q^{56} + 6 q^{57} - 13 q^{58} - 31 q^{60} - 8 q^{64} - 100 q^{65} + 30 q^{66} - 18 q^{68} - 18 q^{69} - 19 q^{70} + 26 q^{72} + 30 q^{73} - 23 q^{74} - 2 q^{77} + 15 q^{78} + 3 q^{80} - 32 q^{81} - 18 q^{82} + 23 q^{84} - 50 q^{85} - 9 q^{86} + q^{88} - 102 q^{89} - 39 q^{90} + 28 q^{92} - 36 q^{93} + 63 q^{96} + 6 q^{97} + 21 q^{98}+O(q^{100}) \) 84 * q + 2 * q^2 - 2 * q^4 + 6 * q^5 - 16 * q^8 + 4 * q^9 - 18 * q^10 - 6 * q^12 + 18 * q^13 + 14 * q^14 + 14 * q^16 + 6 * q^17 - 10 * q^18 - 24 * q^20 + 4 * q^21 + 6 * q^22 - 6 * q^24 + 16 * q^25 - 30 * q^26 - 4 * q^28 + 10 * q^29 + 11 * q^30 - 18 * q^32 - 18 * q^33 - 24 * q^34 - 38 * q^36 + 2 * q^37 + 33 * q^38 + 6 * q^40 + 6 * q^41 - 38 * q^42 - 13 * q^44 - 54 * q^45 + 10 * q^46 + 9 * q^48 - 28 * q^49 - 17 * q^50 - 27 * q^52 - 2 * q^53 - 39 * q^54 + 58 * q^56 + 6 * q^57 - 13 * q^58 - 31 * q^60 - 8 * q^64 - 100 * q^65 + 30 * q^66 - 18 * q^68 - 18 * q^69 - 19 * q^70 + 26 * q^72 + 30 * q^73 - 23 * q^74 - 2 * q^77 + 15 * q^78 + 3 * q^80 - 32 * q^81 - 18 * q^82 + 23 * q^84 - 50 * q^85 - 9 * q^86 + q^88 - 102 * q^89 - 39 * q^90 + 28 * q^92 - 36 * q^93 + 63 * q^96 + 6 * q^97 + 21 * q^98

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