LMFDB - Embedded newform 252.2.bj.b.103.4

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			103.4
Character	$\chi$	$=$	252.103
Dual form			252.2.bj.b.115.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.40719 + 0.140755i) q^{2} +(-1.46735 + 0.920267i) q^{3} +(1.96038 - 0.396138i) q^{4} +(0.259273 - 0.149691i) q^{5} +(1.93531 - 1.50153i) q^{6} +(-0.0899789 + 2.64422i) q^{7} +(-2.70287 + 0.833374i) q^{8} +(1.30622 - 2.70070i) q^{9} +O(q^{10})$	\(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} +(1.93531 - 1.50153i) q^{6} +(-0.0899789 + 2.64422i) q^{7} +(-2.70287 + 0.833374i) q^{8} +(1.30622 - 2.70070i) q^{9} +(-0.343777 + 0.247138i) q^{10} +(-0.0516032 - 0.0297931i) q^{11} +(-2.51200 + 2.38534i) q^{12} +(1.63268 + 0.942631i) q^{13} +(-0.245569 - 3.73359i) q^{14} +(-0.242688 + 0.458249i) q^{15} +(3.68615 - 1.55316i) q^{16} +(-5.35164 + 3.08977i) q^{17} +(-1.45796 + 3.98426i) q^{18} +(-2.06839 + 3.58256i) q^{19} +(0.448974 - 0.396159i) q^{20} +(-2.30136 - 3.96280i) q^{21} +(0.0768091 + 0.0346612i) q^{22} +(-4.99685 + 2.88493i) q^{23} +(3.19912 - 3.71021i) q^{24} +(-2.45519 + 4.25251i) q^{25} +(-2.43018 - 1.09665i) q^{26} +(0.568688 + 5.16494i) q^{27} +(0.871084 + 5.21931i) q^{28} +(-1.70505 - 2.95324i) q^{29} +(0.277007 - 0.679004i) q^{30} -6.28615 q^{31} +(-4.96850 + 2.70444i) q^{32} +(0.103137 - 0.00377183i) q^{33} +(7.09588 - 5.10116i) q^{34} +(0.372488 + 0.699044i) q^{35} +(1.49083 - 5.81183i) q^{36} +(1.19559 - 2.07083i) q^{37} +(2.40636 - 5.33248i) q^{38} +(-3.26319 + 0.119338i) q^{39} +(-0.576031 + 0.620667i) q^{40} +(9.16797 + 5.29313i) q^{41} +(3.79623 + 5.25249i) q^{42} +(8.50766 - 4.91190i) q^{43} +(-0.112964 - 0.0379637i) q^{44} +(-0.0656043 - 0.895748i) q^{45} +(6.62545 - 4.76298i) q^{46} +3.91588 q^{47} +(-3.97954 + 5.67126i) q^{48} +(-6.98381 - 0.475848i) q^{49} +(2.85636 - 6.32967i) q^{50} +(5.00930 - 9.45870i) q^{51} +(3.57409 + 1.20114i) q^{52} +(3.44447 + 5.96600i) q^{53} +(-1.52724 - 7.18801i) q^{54} -0.0178391 q^{55} +(-1.96042 - 7.22196i) q^{56} +(-0.261859 - 7.16033i) q^{57} +(2.81502 + 3.91578i) q^{58} +0.893223 q^{59} +(-0.294229 + 0.994479i) 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} +(-0.144603 + 0.0198248i) q^{66} -11.3594i q^{67} +(-9.26724 + 8.17709i) q^{68} +(4.67721 - 8.83163i) q^{69} +(-0.622555 - 0.931259i) q^{70} -1.25627i q^{71} +(-1.27984 + 8.38821i) q^{72} +(-6.43167 + 3.71333i) q^{73} +(-1.39095 + 3.08233i) q^{74} +(-0.310828 - 8.49933i) q^{75} +(-2.63564 + 7.84253i) q^{76} +(0.0834228 - 0.133770i) q^{77} +(4.57513 - 0.627240i) q^{78} -1.54920i q^{79} +(0.723224 - 0.954476i) q^{80} +(-5.58758 - 7.05542i) q^{81} +(-13.6461 - 6.15801i) q^{82} +(-4.61172 - 7.98773i) q^{83} +(-6.08134 - 6.85692i) q^{84} +(-0.925022 + 1.60219i) q^{85} +(-11.2805 + 8.10948i) q^{86} +(5.21968 + 2.76433i) q^{87} +(0.164305 + 0.0375220i) q^{88} +(8.82012 + 5.09230i) q^{89} +(0.218399 + 1.25126i) q^{90} +(-2.63943 + 4.23236i) q^{91} +(-8.65287 + 7.63499i) q^{92} +(9.22397 - 5.78493i) q^{93} +(-5.51039 + 0.551178i) q^{94} +1.23848i q^{95} +(4.80172 - 8.54069i) q^{96} +(-2.40408 + 1.38800i) q^{97} +(9.89453 - 0.313395i) 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	$0.312008\pi$
$6$	1.93531	−	1.50153i	0.790086	−	0.612996i
$7$	−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
$10$	−0.343777	+	0.247138i	−0.108712	+	0.0781519i
$11$	−0.0516032	−	0.0297931i	−0.0155590	−	0.00898297i	0.492200	−	0.870482i	$-0.336193\pi$
$11$	−0.0516032	−	0.0297931i	−0.0155590	−	0.00898297i	−0.507759	+	0.861499i	$0.669526\pi$
$12$	−2.51200	+	2.38534i	−0.725152	+	0.688589i
$13$	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	$0.582470\pi$
$14$	−0.245569	−	3.73359i	−0.0656311	−	0.997844i
$15$	−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	$0.602981\pi$
$18$	−1.45796	+	3.98426i	−0.343645	+	0.939100i
$19$	−2.06839	+	3.58256i	−0.474521	+	0.821895i	−0.999574	−	0.0291746i	$-0.990712\pi$
$19$	−2.06839	+	3.58256i	−0.474521	+	0.821895i	0.525053	+	0.851069i	$0.324045\pi$
$20$	0.448974	−	0.396159i	0.100394	−	0.0885838i
$21$	−2.30136	−	3.96280i	−0.502197	−	0.864753i
$22$	0.0768091	+	0.0346612i	0.0163758	+	0.00738980i
$23$	−4.99685	+	2.88493i	−1.04191	+	0.601550i	−0.920375	−	0.391037i	$-0.872116\pi$
$23$	−4.99685	+	2.88493i	−1.04191	+	0.601550i	−0.121539	+	0.992587i	$0.538783\pi$
$24$	3.19912	−	3.71021i	0.653017	−	0.757343i
$25$	−2.45519	+	4.25251i	−0.491037	+	0.850501i
$26$	−2.43018	−	1.09665i	−0.476597	−	0.215072i
$27$	0.568688	+	5.16494i	0.109444	+	0.993993i
$28$	0.871084	+	5.21931i	0.164619	+	0.986357i
$29$	−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	$0.935882\pi$
$30$	0.277007	−	0.679004i	0.0505743	−	0.123969i
$31$	−6.28615			−1.12903			−0.564513	−	0.825424i	$-0.690936\pi$
$31$	−6.28615			−1.12903			−0.564513	+	0.825424i	$0.690936\pi$
$32$	−4.96850	+	2.70444i	−0.878316	+	0.478081i
$33$	0.103137	−	0.00377183i	0.0179539	−	0.000656591i
$34$	7.09588	−	5.10116i	1.21693	−	0.874842i
$35$	0.372488	+	0.699044i	0.0629619	+	0.118160i
$36$	1.49083	−	5.81183i	0.248472	−	0.968639i
$37$	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	$0.103692\pi$
$38$	2.40636	−	5.33248i	0.390363	−	0.865042i
$39$	−3.26319	+	0.119338i	−0.522528	+	0.0191093i
$40$	−0.576031	+	0.620667i	−0.0910785	+	0.0981360i
$41$	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	$0.356911\pi$
$42$	3.79623	+	5.25249i	0.585772	+	0.810476i
$43$	8.50766	−	4.91190i	1.29741	−	0.749058i	0.317450	−	0.948275i	$-0.397173\pi$
$43$	8.50766	−	4.91190i	1.29741	−	0.749058i	0.979955	+	0.199217i	$0.0638399\pi$
$44$	−0.112964	−	0.0379637i	−0.0170299	−	0.00572325i
$45$	−0.0656043	−	0.895748i	−0.00977971	−	0.133530i
$46$	6.62545	−	4.76298i	0.976870	−	0.702263i
$47$	3.91588			0.571189			0.285595	−	0.958351i	$-0.407809\pi$
$47$	3.91588			0.571189			0.285595	+	0.958351i	$0.407809\pi$
$48$	−3.97954	+	5.67126i	−0.574398	+	0.818576i
$49$	−6.98381	−	0.475848i	−0.997687	−	0.0679783i
$50$	2.85636	−	6.32967i	0.403950	−	0.895150i
$51$	5.00930	−	9.45870i	0.701442	−	1.32448i
$52$	3.57409	+	1.20114i	0.495637	+	0.166569i
$53$	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	$0.676456\pi$
$54$	−1.52724	−	7.18801i	−0.207831	−	0.978165i
$55$	−0.0178391			−0.00240542
$56$	−1.96042	−	7.22196i	−0.261973	−	0.965075i
$57$	−0.261859	−	7.16033i	−0.0346841	−	0.948408i
$58$	2.81502	+	3.91578i	0.369630	+	0.514167i
$59$	0.893223			0.116288			0.0581439	−	0.998308i	$-0.481482\pi$
$59$	0.893223			0.116288			0.0581439	+	0.998308i	$0.481482\pi$
$60$	−0.294229	+	0.994479i	−0.0379848	+	0.128387i
$61$			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
$66$	−0.144603	+	0.0198248i	−0.0177994	+	0.00244026i
$67$		−	11.3594i		−	1.38777i	−0.720086	−	0.693885i	$-0.755898\pi$
$67$		−	11.3594i		−	1.38777i	0.720086	−	0.693885i	$-0.244102\pi$
$68$	−9.26724	+	8.17709i	−1.12382	+	0.991618i
$69$	4.67721	−	8.83163i	0.563069	−	1.06320i
$70$	−0.622555	−	0.931259i	−0.0744096	−	0.111307i
$71$		−	1.25627i		−	0.149092i	−0.997218	−	0.0745461i	$-0.976249\pi$
$71$		−	1.25627i		−	0.149092i	0.997218	−	0.0745461i	$-0.0237508\pi$
$72$	−1.27984	+	8.38821i	−0.150831	+	0.988560i
$73$	−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	$0.476448\pi$
$74$	−1.39095	+	3.08233i	−0.161694	+	0.358314i
$75$	−0.310828	−	8.49933i	−0.0358913	−	0.981418i
$76$	−2.63564	+	7.84253i	−0.302328	+	0.899600i
$77$	0.0834228	−	0.133770i	0.00950691	−	0.0152445i
$78$	4.57513	−	0.627240i	0.518032	−	0.0710210i
$79$		−	1.54920i		−	0.174298i	−0.996195	−	0.0871491i	$-0.972224\pi$
$79$		−	1.54920i		−	0.174298i	0.996195	−	0.0871491i	$-0.0277757\pi$
$80$	0.723224	−	0.954476i	0.0808589	−	0.106714i
$81$	−5.58758	−	7.05542i	−0.620843	−	0.783935i
$82$	−13.6461	−	6.15801i	−1.50696	−	0.680039i
$83$	−4.61172	−	7.98773i	−0.506202	−	0.876767i	−0.999974	−	0.00717577i	$-0.997716\pi$
$83$	−4.61172	−	7.98773i	−0.506202	−	0.876767i	0.493773	−	0.869591i	$-0.335617\pi$
$84$	−6.08134	−	6.85692i	−0.663529	−	0.748151i
$85$	−0.925022	+	1.60219i	−0.100333	+	0.173781i
$86$	−11.2805	+	8.10948i	−1.21641	+	0.874467i
$87$	5.21968	+	2.76433i	0.559608	+	0.296367i
$88$	0.164305	+	0.0375220i	0.0175150	+	0.00399986i
$89$	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	$0.485173\pi$
$90$	0.218399	+	1.25126i	0.0230212	+	0.131894i
$91$	−2.63943	+	4.23236i	−0.276688	+	0.443672i
$92$	−8.65287	+	7.63499i	−0.902124	+	0.796003i
$93$	9.22397	−	5.78493i	0.956481	−	0.599870i
$94$	−5.51039	+	0.551178i	−0.568353	+	0.0568497i
$95$			1.23848i			0.127065i
$96$	4.80172	−	8.54069i	0.490074	−	0.871681i
$97$	−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	$0.378343\pi$
$98$	9.89453	−	0.313395i	0.999499	−	0.0316576i
$99$	−0.147867	+	0.100449i	−0.0148612	+	0.0100955i
$100$	−3.12851	+	9.30910i	−0.312851	+	0.930910i
$101$	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	$0.516297\pi$
$102$	−5.71769	+	14.0153i	−0.566136	+	1.38772i
$103$	1.76575	+	3.05836i	0.173984	+	0.301349i	0.939809	−	0.341700i	$-0.111003\pi$
$103$	1.76575	+	3.05836i	0.173984	+	0.301349i	−0.765825	+	0.643049i	$0.777669\pi$
$104$	−5.19849	−	1.18717i	−0.509754	−	0.116411i
$105$	−1.18988	−	0.682952i	−0.116120	−	0.0666493i
$106$	−5.68678	−	7.91048i	−0.552349	−	0.768334i
$107$	13.6356	+	7.87251i	1.31820	+	0.761064i	0.983439	−	0.181238i	$-0.0580104\pi$
$107$	13.6356	+	7.87251i	1.31820	+	0.761064i	0.334763	+	0.942302i	$0.391344\pi$
$108$	3.16087	+	9.89994i	0.304155	+	0.952623i
$109$	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
$112$	3.77522	+	9.88674i	0.356725	+	0.934210i
$113$	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	$0.120047\pi$
$114$	1.37634	+	10.0391i	0.128906	+	0.940247i
$115$	−0.863698	+	1.49597i	−0.0805402	+	0.139500i
$116$	−4.51244	−	5.11402i	−0.418969	−	0.474825i
$117$	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
$120$	0.274059	−	1.44084i	0.0250180	−	0.131530i
$121$	−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
$126$	−10.4041	−	4.21368i	−0.926869	−	0.375384i
$127$			16.0235i			1.42186i	0.703264	+	0.710928i	$0.251725\pi$
$127$			16.0235i			1.42186i	−0.703264	+	0.710928i	$0.748275\pi$
$128$	−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	0.932239	−	0.361843i	$-0.117852\pi$
$131$	1.74836	+	3.02824i	0.152755	+	0.264579i	−0.779484	+	0.626422i	$0.784519\pi$
$132$	0.200694	−	0.0482509i	0.0174682	−	0.00419970i
$133$	−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
$136$	11.8898	−	12.8111i	1.01954	−	1.09855i
$137$	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	$0.0340125\pi$
$138$	−5.33863	+	13.0861i	−0.454454	+	1.11397i
$139$	10.2899	−	17.8226i	0.872776	−	1.51169i	0.0136624	−	0.999907i	$-0.495651\pi$
$139$	10.2899	−	17.8226i	0.872776	−	1.51169i	0.859113	−	0.511785i	$-0.171016\pi$
$140$	1.00713	+	1.22283i	0.0851183	+	0.103348i
$141$	−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
$144$	0.620299	−	11.9840i	0.0516916	−	0.998663i
$145$	−0.884148	−	0.510463i	−0.0734245	−	0.0423917i
$146$	8.52792	−	6.13065i	0.705776	−	0.507376i
$147$	10.6856	−	5.72873i	0.881332	−	0.472498i
$148$	1.52348	−	4.53322i	0.125229	−	0.372628i
$149$	−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	$0.878905\pi$
$150$	1.63372	+	11.9164i	0.133392	+	0.972973i
$151$	10.8493	+	6.26385i	0.882904	+	0.509745i	0.871615	−	0.490191i	$-0.163073\pi$
$151$	10.8493	+	6.26385i	0.882904	+	0.509745i	0.0112891	+	0.999936i	$0.496406\pi$
$152$	2.60497	−	11.4069i	0.211291	−	0.925223i
$153$	1.35414	+	18.4891i	0.109475	+	1.49475i
$154$	−0.0985632	+	0.199982i	−0.00794245	+	0.0161150i
$155$	−1.62983	+	0.940982i	−0.130911	+	0.0755815i
$156$	−6.34980	+	1.52662i	−0.508391	+	0.122227i
$157$		−	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
$160$	−0.883368	+	1.44493i	−0.0698363	+	0.114232i
$161$	−7.17878	−	13.4723i	−0.565767	−	1.06177i
$162$	8.85588	+	9.14184i	0.695784	+	0.718251i
$163$	−12.0459	−	6.95471i	−0.943509	−	0.544735i	−0.0524503	−	0.998624i	$-0.516703\pi$
$163$	−12.0459	−	6.95471i	−0.943509	−	0.544735i	−0.891058	+	0.453888i	$0.850036\pi$
$164$	20.0695	+	6.74475i	1.56716	+	0.526676i
$165$	0.0261761	−	0.0164167i	0.00203781	−	0.00127804i
$166$	7.61388	+	10.5911i	0.590952	+	0.822032i
$167$	−6.68416	+	11.5773i	−0.517236	+	0.895879i	0.482563	+	0.875861i	$0.339706\pi$
$167$	−6.68416	+	11.5773i	−0.517236	+	0.895879i	−0.999800	+	0.0200183i	$0.993628\pi$
$168$	9.52275	+	8.79302i	0.734696	+	0.678396i
$169$	−4.72289	−	8.18029i	−0.363300	−	0.629253i
$170$	1.07617	−	2.38478i	0.0825384	−	0.182905i
$171$	6.97365	+	10.2657i	0.533288	+	0.785038i
$172$	14.7324	−	12.9994i	1.12334	−	0.991193i
$173$			4.81127i			0.365794i	0.983132	+	0.182897i	$0.0585475\pi$
$173$			4.81127i			0.365794i	−0.983132	+	0.182897i	$0.941453\pi$
$174$	−7.73418	−	3.15524i	−0.586326	−	0.239198i
$175$	−11.0236	−	6.87469i	−0.833309	−	0.519678i
$176$	−0.236491	−	0.0296739i	−0.0178262	−	0.00223676i
$177$	−1.31067	+	0.822003i	−0.0985159	+	0.0617856i
$178$	−13.1284	−	5.92437i	−0.984013	−	0.444050i
$179$	9.04033	−	5.21944i	0.675706	−	0.390119i	−0.122529	−	0.992465i	$-0.539100\pi$
$179$	9.04033	−	5.21944i	0.675706	−	0.390119i	0.798235	+	0.602346i	$0.205767\pi$
$180$	−0.483449	−	1.73002i	−0.0360342	−	0.128948i
$181$			13.3604i			0.993072i	0.868016	+	0.496536i	$0.165395\pi$
$181$			13.3604i			0.993072i	−0.868016	+	0.496536i	$0.834605\pi$
$182$	3.11846	−	6.32726i	0.231156	−	0.469007i
$183$	−7.21334	−	11.5015i	−0.533225	−	0.850218i
$184$	11.1016	−	11.9618i	0.818419	−	0.881837i
$185$		−	0.715879i		−	0.0526324i
$186$	−12.1656	+	9.43883i	−0.892028	+	0.692089i
$187$	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	$0.246161\pi$
$191$			19.3077i			1.39705i	−0.715584	+	0.698527i	$0.753839\pi$
$192$	−5.55480	+	12.6943i	−0.400883	+	0.916129i
$193$	1.51181			0.108822			0.0544112	−	0.998519i	$-0.482672\pi$
$193$	1.51181			0.108822			0.0544112	+	0.998519i	$0.482672\pi$
$194$	3.18764	−	2.29157i	0.228859	−	0.164525i
$195$	−0.828192	+	0.519412i	−0.0593081	+	0.0371958i
$196$	−13.8794	+	1.83371i	−0.991385	+	0.130979i
$197$	−1.13305			−0.0807266			−0.0403633	−	0.999185i	$-0.512852\pi$
$197$	−1.13305			−0.0807266			−0.0403633	+	0.999185i	$0.512852\pi$
$198$	0.193939	−	0.162163i	0.0137827	−	0.0115245i
$199$	−9.90940	−	17.1636i	−0.702458	−	1.21669i	−0.967601	−	0.252484i	$-0.918752\pi$
$199$	−9.90940	−	17.1636i	−0.702458	−	1.21669i	0.265143	−	0.964209i	$-0.414581\pi$
$200$	3.09211	−	13.5400i	0.218645	−	0.957426i
$201$	10.4537	+	16.6682i	0.737344	+	1.17568i
$202$	−11.7894	−	5.32014i	−0.829500	−	0.374324i
$203$	7.96244	−	4.24281i	0.558854	−	0.297787i
$204$	6.07316	−	20.5270i	0.425207	−	1.43718i
$205$	3.16934			0.221356
$206$	−2.91522	−	4.05516i	−0.203113	−	0.282537i
$207$	1.26436	+	17.2633i	0.0878792	+	1.19989i
$208$	7.48237	+	0.938860i	0.518809	+	0.0650982i
$209$	0.213471	−	0.123248i	0.0147661	−	0.00852522i
$210$	1.77051	+	0.793564i	0.122177	+	0.0547611i
$211$	19.2102	+	11.0910i	1.32248	+	0.763536i	0.984124	−	0.177480i	$-0.0567946\pi$
$211$	19.2102	+	11.0910i	1.32248	+	0.763536i	0.338360	+	0.941017i	$0.390128\pi$
$212$	9.11583	+	10.3311i	0.626077	+	0.709545i
$213$	1.15611	+	1.84339i	0.0792151	+	0.126307i
$214$	−20.2960	−	9.15886i	−1.38740	−	0.626087i
$215$	1.47054	−	2.54704i	0.100290	−	0.173707i
$216$	−5.84142	−	13.4862i	−0.397458	−	0.917620i
$217$	0.565621	−	16.6220i	0.0383969	−	1.12837i
$218$	−3.48283	−	4.84473i	−0.235887	−	0.328126i
$219$	6.02025	−	11.3676i	0.406810	−	0.768150i
$220$	−0.0349713	+	0.00706674i	−0.00235777	+	0.000476439i
$221$	−11.6500			−0.783667
$222$	−0.795564	−	5.80290i	−0.0533948	−	0.389465i
$223$	5.48371	+	9.49807i	0.367217	+	0.636038i	0.989129	−	0.147049i	$-0.0469774\pi$
$223$	5.48371	+	9.49807i	0.367217	+	0.636038i	−0.621913	+	0.783087i	$0.713644\pi$
$224$	−6.70406	−	13.3812i	−0.447934	−	0.894067i
$225$	8.27774	+	12.1854i	0.551849	+	0.812362i
$226$	−1.80482	+	3.99947i	−0.120055	+	0.266041i
$227$	6.77373	−	11.7324i	0.449588	−	0.778710i	−0.548771	−	0.835973i	$-0.684904\pi$
$227$	6.77373	−	11.7324i	0.449588	−	0.778710i	0.998359	+	0.0572631i	$0.0182374\pi$
$228$	−3.34982	−	13.9332i	−0.221847	−	0.922749i
$229$	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	$0.0649767\pi$
$230$	1.00482	−	2.22668i	0.0662561	−	0.146823i
$231$	0.000693343		0.273058i	4.56186e−5		0.0179659i
$232$	7.06969	+	6.56127i	0.464148	+	0.430768i
$233$	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	$-0.160108\pi$
$234$	−6.13608	+	5.13072i	−0.401128	+	0.335406i
$235$	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
$238$	12.8501	+	19.2221i	0.832950	+	1.24598i
$239$	−24.8327	−	14.3372i	−1.60629	−	0.927393i	−0.990190	−	0.139727i	$-0.955377\pi$
$239$	−24.8327	−	14.3372i	−1.60629	−	0.927393i	−0.616102	−	0.787666i	$-0.711289\pi$
$240$	−0.182849	+	2.06611i	−0.0118028	+	0.133367i
$241$	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	$0.554953\pi$
$242$	9.07749	+	12.6271i	0.583523	+	0.811699i
$243$	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
$246$	25.6906	−	3.52213i	1.63797	−	0.224563i
$247$	−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	$-0.723971\pi$
$251$	−20.5004			−1.29397			−0.646987	+	0.762501i	$0.723971\pi$
$252$	15.2336	+	4.46503i	0.959629	+	0.281270i
$253$	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	$0.287223\pi$
$258$	9.08958	−	22.2805i	0.565893	−	1.38712i
$259$	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
$262$	−2.88651	−	4.01523i	−0.178329	−	0.248062i
$263$	25.8393	+	14.9183i	1.59332	+	0.919905i	0.992732	+	0.120348i	$0.0384009\pi$
$263$	25.8393	+	14.9183i	1.59332	+	0.919905i	0.600590	+	0.799557i	$0.294932\pi$
$264$	−0.275623	+	0.0961469i	−0.0169635	+	0.00591743i
$265$	1.78612	+	1.03122i	0.109720	+	0.0633470i
$266$	13.8837	+	6.84276i	0.851266	+	0.419556i
$267$	−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	$0.489612\pi$
$270$	−1.47196	−	1.63504i	−0.0895803	−	0.0995055i
$271$	−11.4019	+	19.7487i	−0.692616	+	1.19965i	0.278362	+	0.960476i	$0.410209\pi$
$271$	−11.4019	+	19.7487i	−0.692616	+	1.19965i	−0.970978	+	0.239170i	$0.923125\pi$
$272$	−14.9280	+	19.7013i	−0.905145	+	1.19457i
$273$	−0.0219368	−	8.63933i	−0.00132768	−	0.522876i
$274$	−5.51206	+	12.2147i	−0.332996	+	0.737917i
$275$	0.253391	−	0.146295i	0.0152800	−	0.00882194i
$276$	5.67054	−	19.1661i	0.341326	−	1.15367i
$277$	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	$-0.0329154\pi$
$278$	−11.9712	+	26.5281i	−0.717985	+	1.59105i
$279$	−8.21109	+	16.9770i	−0.491585	+	1.01639i
$280$	−1.58935	−	1.57900i	−0.0949818	−	0.0943633i
$281$	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	$0.763317\pi$
$282$	7.57842	−	5.87980i	0.451289	−	0.350137i
$283$	−18.7842			−1.11661			−0.558303	−	0.829637i	$-0.688547\pi$
$283$	−18.7842			−1.11661			−0.558303	+	0.829637i	$0.688547\pi$
$284$	−0.497657	−	2.46277i	−0.0295305	−	0.146138i
$285$	−1.13973	−	1.81728i	−0.0675118	−	0.107646i
$286$	0.0927323	+	0.128994i	0.00548338	+	0.00762755i
$287$	−14.8211	+	23.7659i	−0.874864	+	1.40286i
$288$	0.813920	+	16.9510i	0.0479607	+	0.998849i
$289$	10.5933	−	18.3482i	0.623137	−	1.07931i
$290$	1.31602	+	0.593871i	0.0772791	+	0.0348733i
$291$	2.25030	−	4.24908i	0.131915	−	0.249085i
$292$	−11.1375	+	9.82734i	−0.651773	+	0.575102i
$293$	−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	$-0.719530\pi$
$294$	−14.2303	+	9.56547i	−0.829929	+	0.557869i
$295$	0.231588	−	0.133708i	0.0134836	−	0.00778476i
$296$	−1.50575	+	6.59354i	−0.0875201	+	0.383242i
$297$	0.124534	−	0.283470i	0.00722617	−	0.0164486i
$298$	2.87538	+	3.99974i	0.166566	+	0.231699i
$299$	−10.8777			−0.629073
$300$	−3.97625	−	16.5388i	−0.229569	−	0.954865i
$301$	12.2226	+	22.9381i	0.704501	+	1.32213i
$302$	−16.1487	−	7.28734i	−0.929254	−	0.419339i
$303$	−15.8305	+	0.578936i	−0.909440	+	0.0332590i
$304$	−2.06011	+	16.4184i	−0.118156	+	0.941659i
$305$	1.17333	+	2.03226i	0.0671845	+	0.116367i
$306$	−4.50796	−	25.8271i	−0.257703	−	1.47644i
$307$	11.7362			0.669818			0.334909	−	0.942251i	$-0.391294\pi$
$307$	11.7362			0.669818			0.334909	+	0.942251i	$0.391294\pi$
$308$	0.110549	−	0.295286i	0.00629911	−	0.0168255i
$309$	−5.40547	−	2.86272i	−0.307506	−	0.162855i
$310$	2.16103	−	1.55355i	0.122738	−	0.0882356i
$311$	28.3340			1.60667			0.803336	−	0.595526i	$-0.203056\pi$
$311$	28.3340			1.60667			0.803336	+	0.595526i	$0.203056\pi$
$312$	8.72051	−	3.04201i	0.493702	−	0.172220i
$313$			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	$0.830404\pi$
$318$	15.6242	+	6.37408i	0.876164	+	0.357441i
$319$			0.203196i			0.0113768i
$320$	1.03969	−	2.15763i	0.0581203	−	0.120615i
$321$	−27.2530	+	0.996664i	−1.52111	+	0.0556284i
$322$	11.9982	+	17.9477i	0.668635	+	1.00019i
$323$		−	25.5634i		−	1.42238i
$324$	−13.7487	−	11.6178i	−0.763816	−	0.645434i
$325$	−8.01709	+	4.62867i	−0.444708	+	0.256752i
$326$	17.9298	+	8.09109i	0.993041	+	0.448124i
$327$	−6.45795	−	3.42011i	−0.357125	−	0.189133i
$328$	−29.1910	−	6.66627i	−1.61180	−	0.368083i
$329$	−0.352346	+	10.3544i	−0.0194255	+	0.570859i
$330$	−0.0345241	+	0.0267859i	−0.00190049	+	0.00147451i
$331$			15.3108i			0.841557i	0.907163	+	0.420778i	$0.138243\pi$
$331$			15.3108i			0.841557i	−0.907163	+	0.420778i	$0.861757\pi$
$332$	−12.2049	−	13.8321i	−0.669833	−	0.759133i
$333$	−4.03098	−	5.93389i	−0.220896	−	0.325175i
$334$	7.77634	−	17.2323i	0.425502	−	0.942911i
$335$	−1.70040	−	2.94518i	−0.0929028	−	0.160912i
$336$	−14.6380	−	11.0331i	−0.798568	−	0.601904i
$337$	−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	$0.848078\pi$
$338$	7.79743	+	10.8465i	0.424124	+	0.589970i
$339$	0.196400	+	5.37039i	0.0106670	+	0.291679i
$340$	−1.17871	+	3.50732i	−0.0639243	+	0.190211i
$341$	0.324386	+	0.187284i	0.0175665	+	0.0101420i
$342$	−11.2582	−	13.4642i	−0.608774	−	0.728063i
$343$	1.88664	−	18.4239i	0.101869	−	0.994798i
$344$	−18.9016	+	20.3663i	−1.01911	+	1.09808i
$345$	−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	$0.0607152\pi$
$347$			7.06326i			0.379176i	−0.981864	+	0.189588i	$0.939285\pi$
$348$	11.3276	+	3.35141i	0.607222	+	0.179654i
$349$	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	$0.157143\pi$
$350$	16.4800	+	8.12237i	0.880895	+	0.434159i
$351$	−3.94014	+	8.96878i	−0.210309	+	0.478718i
$352$	0.336964	+	0.00846972i	0.0179603	+	0.000451437i
$353$	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	$0.629770\pi$
$354$	1.72866	−	1.34120i	0.0918773	−	0.0712839i
$355$	−0.188053	−	0.325717i	−0.00998082	−	0.0172873i
$356$	19.3080	+	6.48884i	1.02332	+	0.343908i
$357$	24.5601	+	14.0968i	1.29986	+	0.746081i
$358$	−11.9868	+	8.61722i	−0.633523	+	0.455434i
$359$	8.64868	+	4.99331i	0.456460	+	0.263537i	0.710554	−	0.703642i	$-0.248444\pi$
$359$	8.64868	+	4.99331i	0.456460	+	0.263537i	−0.254095	+	0.967179i	$0.581778\pi$
$360$	0.923813	+	2.36641i	0.0486892	+	0.124721i
$361$	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
$364$	−3.49768	+	9.34260i	−0.183328	+	0.489685i
$365$	−1.11170	+	1.92553i	−0.0581893	+	0.100787i
$366$	11.7694	+	15.1696i	0.615199	+	0.792925i
$367$	−3.30003	+	5.71581i	−0.172260	+	0.298363i	−0.939210	−	0.343344i	$-0.888440\pi$
$367$	−3.30003	+	5.71581i	−0.172260	+	0.298363i	0.766950	+	0.641707i	$0.221774\pi$
$368$	−13.9384	+	18.3952i	−0.726588	+	0.958915i
$369$	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
$372$	15.7908	−	14.9946i	0.818716	−	0.777434i
$373$	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
$378$	19.1441	−	3.39160i	0.984667	−	0.174445i
$379$			25.5334i			1.31156i	0.754951	+	0.655781i	$0.227661\pi$
$379$			25.5334i			1.31156i	−0.754951	+	0.655781i	$0.772339\pi$
$380$	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	0.565019	−	0.825078i	$-0.308869\pi$
$383$	−8.45498	−	14.6445i	−0.432029	−	0.748297i	−0.997048	+	0.0767813i	$0.975536\pi$
$384$	6.02989	−	18.6451i	0.307711	−	0.951480i
$385$	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
$388$	−4.16307	+	3.67335i	−0.211348	+	0.186486i
$389$	−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	$0.990853\pi$
$390$	1.09232	−	0.847484i	0.0553115	−	0.0429140i
$391$	17.8275	−	30.8782i	0.901577	−	1.56158i
$392$	19.2729	−	4.53397i	0.973426	−	0.229000i
$393$	−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
$396$	−0.250084	+	0.255493i	−0.0125672	+	0.0128390i
$397$	−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	$0.808748\pi$
$398$	16.3603	+	22.7576i	0.820066	+	1.14074i
$399$	18.9570	−	0.0481354i	0.949039	−	0.00240978i
$400$	−2.44536	+	19.4887i	−0.122268	+	0.974433i
$401$	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	$0.647383\pi$
$402$	−17.0564	−	21.9839i	−0.850697	−	1.09646i
$403$	−10.2633	−	5.92552i	−0.511252	−	0.295171i
$404$	17.3388	+	5.82704i	0.862637	+	0.289906i
$405$	−2.50484	−	0.992866i	−0.124467	−	0.0493359i
$406$	−10.6075	+	7.09120i	−0.526440	+	0.351930i
$407$	−0.123393	+	0.0712409i	−0.00611635	+	0.00353128i
$408$	−5.65684	+	29.7402i	−0.280055	+	1.47236i
$409$		−	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
$412$	4.67306	+	5.29606i	0.230225	+	0.260918i
$413$	−0.0803713	+	2.36188i	−0.00395481	+	0.116220i
$414$	−4.20910	−	24.1149i	−0.206866	−	1.18518i
$415$	−2.39138	−	1.38067i	−0.117388	−	0.0677743i
$416$	−10.6613	−	0.267975i	−0.522712	−	0.0131386i
$417$	1.30270	+	35.6214i	0.0637937	+	1.74439i
$418$	−0.283047	+	0.203480i	−0.0138443	+	0.00995254i
$419$	4.48691	−	7.77155i	0.219200	−	0.379665i	−0.735364	−	0.677673i	$-0.762989\pi$
$419$	4.48691	−	7.77155i	0.219200	−	0.379665i	0.954564	+	0.298007i	$0.0963220\pi$
$420$	−2.60315	−	0.867489i	−0.127021	−	0.0423291i
$421$	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	$0.751140\pi$
$422$	−28.5935	−	12.9032i	−1.39191	−	0.628120i
$423$	5.11499	−	10.5756i	0.248699	−	0.514204i
$424$	−14.2819	−	13.2548i	−0.693589	−	0.643709i
$425$		−	30.3438i		−	1.47189i
$426$	−1.88633	−	2.43127i	−0.0913929	−	0.117796i
$427$	−20.7262	−	0.705283i	−1.00301	−	0.0341311i
$428$	29.8495	+	10.0315i	1.44283	+	0.484891i
$429$	0.171946	+	0.0910624i	0.00830165	+	0.00439653i
$430$	−1.71082	+	3.79116i	−0.0825030	+	0.182826i
$431$	3.87571	−	2.23764i	0.186687	−	0.107784i	−0.403744	−	0.914872i	$-0.632291\pi$
$431$	3.87571	−	2.23764i	0.186687	−	0.107784i	0.590430	+	0.807088i	$0.298958\pi$
$432$	10.1182	+	18.1555i	0.486814	+	0.873506i
$433$		−	19.2972i		−	0.927365i	−0.886001	−	0.463683i	$-0.846528\pi$
$433$		−	19.2972i		−	0.927365i	0.886001	−	0.463683i	$-0.153472\pi$
$434$	1.54369	+	23.4699i	0.0740993	+	1.12659i
$435$	1.76712	−	0.0646249i	0.0847267	−	0.00309853i
$436$	5.58293	+	6.32724i	0.267374	+	0.303020i
$437$		−	23.8686i		−	1.14179i
$438$	−6.87160	+	16.8438i	−0.328338	+	0.804826i
$439$	23.9945			1.14520			0.572598	−	0.819837i	$-0.305936\pi$
$439$	23.9945			1.14520			0.572598	+	0.819837i	$0.305936\pi$
$440$	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	$0.00472585\pi$
$443$			0.624950i			0.0296923i	−0.999890	+	0.0148461i	$0.995274\pi$
$444$	1.93630	+	8.05381i	0.0918926	+	0.382217i
$445$	3.04909			0.144541
$446$	−9.05353	−	12.5937i	−0.428697	−	0.596331i
$447$	5.33159	+	2.82360i	0.252176	+	0.133552i
$448$	11.3174	+	17.8862i	0.534695	+	0.845045i
$449$	−22.2301			−1.04910			−0.524551	−	0.851379i	$-0.675767\pi$
$449$	−22.2301			−1.04910			−0.524551	+	0.851379i	$0.675767\pi$
$450$	−13.3635	−	15.9821i	−0.629963	−	0.753403i
$451$	−0.315398	−	0.546285i	−0.0148515	−	0.0257236i
$452$	1.97678	−	5.88205i	0.0929799	−	0.276668i
$453$	−21.6841	+	0.793007i	−1.01881	+	0.0372587i
$454$	−7.88054	+	17.4632i	−0.369852	+	0.819590i
$455$	−0.0507854	+	1.49244i	−0.00238086	+	0.0699665i
$456$	6.67500	+	19.1352i	0.312586	+	0.896087i
$457$	3.82232			0.178801			0.0894004	−	0.995996i	$-0.471505\pi$
$457$	3.82232			0.178801			0.0894004	+	0.995996i	$0.471505\pi$
$458$	−25.9499	+	18.6552i	−1.21256	+	0.871700i
$459$	−19.0019	−	25.8838i	−0.886932	−	1.20815i
$460$	−1.10056	+	3.27480i	−0.0513140	+	0.152688i
$461$	−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	$0.339899\pi$
$462$	−0.0394098	−	0.384147i	−0.00183351	−	0.0178721i
$463$	15.7549	+	9.09610i	0.732193	+	0.422732i	0.819224	−	0.573474i	$-0.194405\pi$
$463$	15.7549	+	9.09610i	0.732193	+	0.422732i	−0.0870311	+	0.996206i	$0.527738\pi$
$464$	−10.8719	−	8.23786i	−0.504717	−	0.382433i
$465$	1.52557	−	2.88062i	0.0707467	−	0.133586i
$466$	−15.1931	+	33.6678i	−0.703806	+	1.55963i
$467$	3.88452	−	6.72818i	0.179754	−	0.311343i	−0.762042	−	0.647527i	$-0.775803\pi$
$467$	3.88452	−	6.72818i	0.179754	−	0.311343i	0.941796	+	0.336184i	$0.109136\pi$
$468$	7.91247	−	8.08359i	0.365754	−	0.373664i
$469$	30.0367	+	1.02211i	1.38697	+	0.0471964i
$470$	−1.34619	+	0.967762i	−0.0620950	+	0.0446395i
$471$	2.71725	+	4.33261i	0.125204	+	0.199636i
$472$	−2.41426	+	0.744389i	−0.111125	+	0.0342633i
$473$	−0.585363			−0.0269150
$474$	−2.32616	−	2.99817i	−0.106844	−	0.137711i
$475$	−10.1566	−	17.5917i	−0.466015	−	0.807162i
$476$	−20.7882	−	25.2404i	−0.952825	−	1.15689i
$477$	20.6116	−	1.50959i	0.943742	−	0.0691194i
$478$	36.9624	+	16.6798i	1.69062	+	0.762916i
$479$	−1.69231	+	2.93117i	−0.0773237	+	0.133929i	−0.902094	−	0.431539i	$-0.857971\pi$
$479$	−1.69231	+	2.93117i	−0.0773237	+	0.133929i	0.824771	+	0.565467i	$0.191304\pi$
$480$	−0.0335113	−	2.93315i	−0.00152957	−	0.133879i
$481$	3.90405	−	2.25400i	0.178009	−	0.102774i
$482$	−13.7596	−	6.20924i	−0.626735	−	0.282823i
$483$	22.9319	+	13.1622i	1.04344	+	0.598902i
$484$	−14.5511	−	16.4910i	−0.661413	−	0.749591i
$485$	−0.415542	+	0.719741i	−0.0188688	+	0.0326817i
$486$	−21.4076	−	5.26449i	−0.971068	−	0.238802i
$487$	−17.1308	+	9.89047i	−0.776271	+	0.448180i	−0.835107	−	0.550087i	$-0.814594\pi$
$487$	−17.1308	+	9.89047i	−0.776271	+	0.448180i	0.0588362	+	0.998268i	$0.481261\pi$
$488$	−6.53225	−	21.1859i	−0.295701	−	0.959042i
$489$	24.0757	−	0.880470i	1.08874	−	0.0398163i
$490$	2.51847	−	1.56238i	0.113773	−	0.0705811i
$491$	21.6474	+	12.4982i	0.976935	+	0.564034i	0.901343	−	0.433105i	$-0.142582\pi$
$491$	21.6474	+	12.4982i	0.976935	+	0.564034i	0.0755917	+	0.997139i	$0.475915\pi$
$492$	−35.6559	+	8.57239i	−1.60749	+	0.386473i
$493$	18.2497	+	10.5364i	0.821923	+	0.474538i
$494$	8.95539	−	6.43795i	0.402922	−	0.289657i
$495$	−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
$498$	−20.9189	−	8.53409i	−0.937397	−	0.382422i
$499$	−1.14354	+	0.660225i	−0.0511920	+	0.0295557i	−0.525378	−	0.850869i	$-0.676076\pi$
$499$	−1.14354	+	0.660225i	−0.0511920	+	0.0295557i	0.474186	+	0.880425i	$0.342743\pi$
$500$	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	$-0.733874\pi$
$503$	−30.0706			−1.34078			−0.670391	+	0.742008i	$0.733874\pi$
$504$	−22.0651	−	4.13894i	−0.982858	−	0.184363i
$505$	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	$0.570186\pi$
$510$	0.615523	+	4.48967i	0.0272558	+	0.198806i
$511$	−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
$514$	−5.31471	+	3.82070i	−0.234422	+	0.168524i
$515$	0.915620	+	0.528633i	0.0403470	+	0.0232944i
$516$	−9.65470	+	32.6324i	−0.425024	+	1.43656i
$517$	−0.202072	−	0.116666i	−0.00888711	−	0.00513097i
$518$	−8.02522	−	3.95532i	−0.352608	−	0.173787i
$519$	−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	$0.300633\pi$
$522$	14.2524	−	2.48766i	0.623810	−	0.108882i
$523$	13.1758	−	22.8212i	0.576139	−	0.997902i	−0.419778	−	0.907627i	$-0.637892\pi$
$523$	13.1758	−	22.8212i	0.576139	−	0.997902i	0.995917	−	0.0902752i	$-0.0287747\pi$
$524$	4.62704	+	5.24391i	0.202133	+	0.229081i
$525$	22.5021	−	0.0571368i	0.982071	−	0.00249366i
$526$	−38.4607	−	17.3560i	−1.67697	−	0.756756i
$527$	33.6412	−	19.4228i	1.46543	−	0.846068i
$528$	0.374322	−	0.174092i	0.0162903	−	0.00757640i
$529$	5.14565	−	8.91252i	0.223724	−	0.387501i
$530$	−2.65856	−	1.19971i	−0.115480	−	0.0521122i
$531$	1.16675	−	2.41233i	0.0506324	−	0.104686i
$532$	−20.5002	−	7.67487i	−0.888797	−	0.332748i
$533$	9.97894	+	17.2840i	0.432236	+	0.748654i
$534$	24.7159	−	3.38849i	1.06956	−	0.146634i
$535$	4.71378			0.203795
$536$	9.46662	+	30.7029i	0.408896	+	1.32616i
$537$	−8.46204	+	15.9782i	−0.365164	+	0.689512i
$538$	17.7589	−	12.7667i	0.765638	−	0.550411i
$539$	0.346210	+	0.232625i	0.0149123	+	0.0100199i
$540$	2.30146	+	2.09363i	0.0990392	+	0.0900956i
$541$	−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	$0.945509\pi$
$542$	13.2649	−	29.3950i	0.569778	−	1.26262i
$543$	−12.2951	−	19.6044i	−0.527635	−	0.841304i
$544$	18.2335	−	29.8247i	0.781757	−	1.27872i
$545$	1.09390	+	0.631561i	0.0468574	+	0.0270531i
$546$	1.24690	+	12.1541i	0.0533622	+	0.520147i
$547$	23.9968	−	13.8546i	1.02603	−	0.592379i	0.110186	−	0.993911i	$-0.464855\pi$
$547$	23.9968	−	13.8546i	1.02603	−	0.592379i	0.915845	+	0.401532i	$0.131522\pi$
$548$	6.03725	−	17.9643i	0.257899	−	0.767396i
$549$	21.1690	+	10.2386i	0.903469	+	0.436971i
$550$	−0.335978	+	0.241531i	−0.0143261	+	0.0102989i
$551$	14.1069			0.600973
$552$	−5.28181	+	27.7686i	−0.224809	+	1.18191i
$553$	4.09642	+	0.139395i	0.174197	+	0.00592768i
$554$	−11.3606	+	25.1750i	−0.482665	+	1.06958i
$555$	0.658799	+	1.05044i	0.0279645	+	0.0445888i
$556$	13.1118	−	39.0152i	0.556065	−	1.65461i
$557$	−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	$0.897523\pi$
$558$	9.16498	−	25.0457i	0.387985	−	1.06027i
$559$	18.5204			0.783331
$560$	2.45877	+	1.99825i	0.103902	+	0.0844413i
$561$	−0.540300	+	0.338856i	−0.0228115	+	0.0143065i
$562$	−6.03863	−	8.39992i	−0.254724	−	0.354329i
$563$	−15.8783			−0.669189			−0.334594	−	0.942362i	$-0.608599\pi$
$563$	−15.8783			−0.669189			−0.334594	+	0.942362i	$0.608599\pi$
$564$	−9.83668	+	9.34070i	−0.414199	+	0.393314i
$565$		−	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	$0.518536\pi$
$570$	1.85961	+	2.39684i	0.0778905	+	0.100393i
$571$			12.7586i			0.533930i	0.963706	+	0.266965i	$0.0860208\pi$
$571$			12.7586i			0.533930i	−0.963706	+	0.266965i	$0.913979\pi$
$572$	−0.148649	−	0.168466i	−0.00621531	−	0.00704392i
$573$	−17.7682	−	28.3311i	−0.742277	−	1.18355i
$574$	17.5110	−	35.5293i	0.730895	−	1.48296i
$575$		−	28.3322i		−	1.18153i
$576$	−3.53128	−	23.7388i	−0.147137	−	0.989116i
$577$	−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	$0.496655\pi$
$578$	−12.3243	+	27.3105i	−0.512622	+	1.13597i
$579$	−2.21835	+	1.39127i	−0.0921915	+	0.0578191i
$580$	−1.93548	−	0.650455i	−0.0803663	−	0.0270087i
$581$	21.5363	−	11.4757i	0.893475	−	0.476091i
$582$	−2.56852	+	6.29600i	−0.106469	+	0.260978i
$583$		−	0.410487i		−	0.0170006i
$584$	14.2894	−	15.3966i	0.591298	−	0.637116i
$585$	0.737249	−	1.52431i	0.0304815	−	0.0630227i
$586$	41.3392	+	18.6549i	1.70771	+	0.770627i
$587$	−2.57608	−	4.46190i	−0.106326	−	0.184162i	0.807953	−	0.589247i	$-0.200575\pi$
$587$	−2.57608	−	4.46190i	−0.106326	−	0.184162i	−0.914279	+	0.405084i	$0.867242\pi$
$588$	18.6784	−	15.4634i	0.770284	−	0.637701i
$589$	13.0022	−	22.5205i	0.535747	−	0.927941i
$590$	−0.307069	+	0.220749i	−0.0126418	+	0.00908811i
$591$	1.66258	−	1.04271i	0.0683895	−	0.0428914i
$592$	1.19081	−	9.49032i	0.0489419	−	0.390050i
$593$	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	$0.578213\pi$
$594$	−0.135343	+	0.416426i	−0.00555318	+	0.0170862i
$595$	−4.15330	−	2.59013i	−0.170269	−	0.106185i
$596$	−4.60919	−	5.22368i	−0.188800	−	0.213970i
$597$	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	$-0.897529\pi$
$599$		−	15.4870i		−	0.632782i	0.948629	−	0.316391i	$-0.102471\pi$
$600$	7.92325	+	22.7135i	0.323465	+	0.927275i
$601$	−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	$0.543916\pi$
$602$	−20.4282	−	30.5579i	−0.832593	−	1.24545i
$603$	−30.6783	−	14.8378i	−1.24932	−	0.604244i
$604$	23.7501	+	7.98168i	0.966376	+	0.324770i
$605$	−2.85108	−	1.64607i	−0.115913	−	0.0669223i
$606$	22.1951	−	3.04290i	0.901615	−	0.123609i
$607$	−2.17014	−	3.75880i	−0.0880833	−	0.152565i	0.818618	−	0.574339i	$-0.194741\pi$
$607$	−2.17014	−	3.75880i	−0.0880833	−	0.152565i	−0.906701	+	0.421774i	$0.861408\pi$
$608$	0.588011	−	23.3938i	0.0238470	−	0.948743i
$609$	−7.77915	+	13.5532i	−0.315227	+	0.549205i
$610$	−1.93715	−	2.69463i	−0.0784328	−	0.109102i
$611$	6.39339	+	3.69123i	0.258649	+	0.149331i
$612$	9.97884	+	35.7091i	0.403371	+	1.44346i
$613$	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
$616$	−0.114001	+	0.431084i	−0.00459322	+	0.0173689i
$617$	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	$0.0601931\pi$
$618$	8.00947	+	3.26755i	0.322188	+	0.131440i
$619$	−10.4121	+	18.0343i	−0.418497	+	0.724859i	−0.995789	−	0.0916797i	$-0.970776\pi$
$619$	−10.4121	+	18.0343i	−0.418497	+	0.724859i	0.577291	+	0.816538i	$0.304110\pi$
$620$	−2.82232	+	2.49032i	−0.113347	+	0.100013i
$621$	−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
$624$	−11.8432	+	5.50815i	−0.474109	+	0.220502i
$625$	−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
$630$	−3.32825	+	0.464908i	−0.132601	+	0.0185224i
$631$			17.7969i			0.708484i	0.935154	+	0.354242i	$0.115261\pi$
$631$			17.7969i			0.708484i	−0.935154	+	0.354242i	$0.884739\pi$
$632$	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
$636$	−22.8835	−	6.77036i	−0.907389	−	0.268462i
$637$	−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
$640$	−1.15934	+	3.18254i	−0.0458270	+	0.125801i
$641$	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	$0.0198643\pi$
$642$	38.2098	−	5.23848i	1.50802	−	0.206746i
$643$	−8.66706	+	15.0118i	−0.341795	+	0.592007i	−0.984766	−	0.173884i	$-0.944368\pi$
$643$	−8.66706	+	15.0118i	−0.341795	+	0.592007i	0.642971	+	0.765891i	$0.277702\pi$
$644$	−19.4100	−	23.5671i	−0.764862	−	0.928673i
$645$	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	0.785682	−	0.618631i	$-0.212312\pi$
$647$	−3.63507	−	6.29613i	−0.142909	−	0.247526i	−0.928591	+	0.371105i	$0.878979\pi$
$648$	20.9823	+	14.4133i	0.824262	+	0.566208i
$649$	−0.0460932	−	0.0266119i	−0.00180932	−	0.00104461i
$650$	10.6301	−	7.64186i	0.416946	−	0.299739i
$651$	14.4667	+	24.9107i	0.566994	+	0.976329i
$652$	−26.3695	−	8.86201i	−1.03271	−	0.347063i
$653$	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	$0.606442\pi$
$654$	9.56897	+	3.90377i	0.374176	+	0.152649i
$655$	0.906603	+	0.523428i	0.0354239	+	0.0204520i
$656$	42.0156	+	5.27195i	1.64043	+	0.205835i
$657$	1.62742	+	22.2204i	0.0634916	+	0.866902i
$658$	−0.961618	−	14.6203i	−0.0374878	−	0.569958i
$659$	30.9707	−	17.8810i	1.20645	−	0.696543i	0.244467	−	0.969658i	$-0.421387\pi$
$659$	30.9707	−	17.8810i	1.20645	−	0.696543i	0.961982	+	0.273115i	$0.0880538\pi$
$660$	0.0448118	−	0.0425523i	0.00174430	−	0.00165635i
$661$		−	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
$664$	19.1216	+	17.7465i	0.742063	+	0.688697i
$665$	−3.27481	−	0.111437i	−0.126992	−	0.00432134i
$666$	6.50758	+	7.78274i	0.252164	+	0.301575i
$667$	17.0398	+	9.83792i	0.659783	+	0.380926i
$668$	−8.51726	+	25.3437i	−0.329543	+	0.980579i
$669$	−16.7873	−	8.89050i	−0.649033	−	0.343726i
$670$	2.80734	+	3.90509i	0.108457	+	0.150867i
$671$	0.233528	−	0.404482i	0.00901525	−	0.0156149i
$672$	22.1514	+	13.4653i	0.854510	+	0.519435i
$673$	−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	$0.890233\pi$
$674$	17.9815	−	39.8469i	0.692621	−	1.53484i
$675$	−23.3602	−	10.2625i	−0.899133	−	0.395005i
$676$	−12.4992	−	14.1655i	−0.480737	−	0.544828i
$677$		−	13.1110i		−	0.503898i	−0.967740	−	0.251949i	$-0.918928\pi$
$677$		−	13.1110i		−	0.503898i	0.967740	−	0.251949i	$-0.0810715\pi$
$678$	−1.03228	−	7.52952i	−0.0396445	−	0.289170i
$679$	−3.45386	−	6.48182i	−0.132547	−	0.248749i
$680$	1.16499	−	5.10138i	0.0446754	−	0.195629i
$681$	0.857558	+	23.4492i	0.0328617	+	0.898576i
$682$	−0.482834	−	0.217886i	−0.0184887	−	0.00834328i
$683$	3.02310	−	1.74539i	0.115676	−	0.0667853i	−0.441046	−	0.897485i	$-0.645392\pi$
$683$	3.02310	−	1.74539i	0.115676	−	0.0667853i	0.556721	+	0.830699i	$0.312059\pi$
$684$	17.7376	+	17.3621i	0.678214	+	0.663857i
$685$		−	2.83689i		−	0.108392i
$686$	−0.0616148	+	26.1915i	−0.00235246	+	0.999997i
$687$	−18.3192	+	34.5909i	−0.698923	+	1.31972i
$688$	23.7315	−	31.3197i	0.904757	−	1.19405i
$689$			12.9875i			0.494783i
$690$	0.574717	+	4.19202i	0.0218791	+	0.159588i
$691$	−6.44523			−0.245188			−0.122594	−	0.992457i	$-0.539121\pi$
$691$	−6.44523			−0.245188			−0.122594	+	0.992457i	$0.539121\pi$
$692$	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
$696$	−16.4118	−	3.12166i	−0.622088	−	0.118326i
$697$	−65.4182			−2.47789
$698$	−22.5537	+	16.2136i	−0.853669	+	0.613695i
$699$	1.65331	+	45.2083i	0.0625338	+	1.70994i
$700$	−24.3338	−	9.11009i	−0.919732	−	0.344329i
$701$	33.8067			1.27686			0.638431	−	0.769679i	$-0.279584\pi$
$701$	33.8067			1.27686			0.638431	+	0.769679i	$0.279584\pi$
$702$	4.28214	−	13.1754i	0.161619	−	0.497273i
$703$	4.94590	+	8.56655i	0.186538	+	0.323094i
$704$	−0.475366	+	0.0355108i	−0.0179160	+	0.00133837i
$705$	−0.950334	+	1.79445i	−0.0357917	+	0.0675828i
$706$	−5.60213	−	2.52804i	−0.210839	−	0.0951442i
$707$	−12.8045	+	20.5322i	−0.481564	+	0.772194i
$708$	−2.24378	+	2.13064i	−0.0843263	+	0.0800744i
$709$	−47.6560			−1.78976			−0.894880	−	0.446308i	$-0.852739\pi$
$709$	−47.6560			−1.78976			−0.894880	+	0.446308i	$0.852739\pi$
$710$	0.310473	+	0.431877i	0.0116518	+	0.0162081i
$711$	−4.18392	−	2.02359i	−0.156909	−	0.0758906i
$712$	−28.0834	−	6.41334i	−1.05247	−	0.240350i
$713$	31.4109	−	18.1351i	1.17635	−	0.679165i
$714$	−36.5450	−	16.3799i	−1.36766	−	0.613003i
$715$	−0.0291256	−	0.0168157i	−0.00108924	−	0.000628870i
$716$	15.6548	−	13.8133i	0.585049	−	0.516227i
$717$	49.6322	−	1.81509i	1.85355	−	0.0677858i
$718$	−12.8732	−	5.80921i	−0.480423	−	0.216798i
$719$	−20.7997	+	36.0262i	−0.775699	+	1.34355i	0.158702	+	0.987327i	$0.449269\pi$
$719$	−20.7997	+	36.0262i	−0.775699	+	1.34355i	−0.934401	+	0.356224i	$0.884064\pi$
$720$	−1.63307	−	3.19997i	−0.0608608	−	0.119256i
$721$	−8.24586	+	4.39383i	−0.307092	+	0.163635i
$722$	−1.55775	−	2.16687i	−0.0579733	−	0.0806426i
$723$	−18.4761	+	0.675688i	−0.687134	+	0.0251291i
$724$	5.29257	+	26.1914i	0.196697	+	0.973397i
$725$	16.7449			0.621890
$726$	−24.9401	−	10.1746i	−0.925614	−	0.377615i
$727$	−12.4339	−	21.5361i	−0.461147	−	0.798730i	0.537871	−	0.843027i	$-0.319229\pi$
$727$	−12.4339	−	21.5361i	−0.461147	−	0.798730i	−0.999018	+	0.0442969i	$0.985895\pi$
$728$	3.60689	−	13.6391i	0.133680	−	0.505500i
$729$	−26.3532	+	5.87448i	−0.976044	+	0.217573i
$730$	1.29335	−	2.86607i	0.0478692	−	0.106078i
$731$	−30.3533	+	52.5734i	−1.12266	+	1.94450i
$732$	−18.6971	−	19.6899i	−0.691063	−	0.727758i
$733$	−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	$0.490662\pi$
$734$	3.83924	−	8.50774i	0.141709	−	0.314026i
$735$	1.91294	−	3.08484i	0.0705599	−	0.113786i
$736$	17.0247	−	27.8474i	0.627540	−	1.02647i
$737$	−0.338432	+	0.586181i	−0.0124663	+	0.0215922i
$738$	−34.4558	+	28.8104i	−1.26834	+	1.06053i
$739$	−7.36004	+	4.24932i	−0.270743	+	0.156314i	−0.629225	−	0.777223i	$-0.716628\pi$
$739$	−7.36004	+	4.24932i	−0.270743	+	0.156314i	0.358482	+	0.933537i	$0.383294\pi$
$740$	−0.283587	−	1.40339i	−0.0104249	−	0.0515897i
$741$	6.32201	−	11.9374i	0.232245	−	0.438531i
$742$	21.4288	−	14.3253i	0.786674	−	0.525899i
$743$	7.11078	+	4.10541i	0.260869	+	0.150613i	0.624731	−	0.780840i	$-0.285209\pi$
$743$	7.11078	+	4.10541i	0.260869	+	0.150613i	−0.363862	+	0.931453i	$0.618542\pi$
$744$	−20.1101	+	23.3229i	−0.737274	+	0.855060i
$745$	−0.903106	−	0.521408i	−0.0330872	−	0.0191029i
$746$	−21.9069	−	30.4732i	−0.802070	−	1.11570i
$747$	−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
$750$	4.45502	+	5.74204i	0.162674	+	0.209670i
$751$	−35.3527	+	20.4109i	−1.29004	+	0.744804i	−0.978661	−	0.205482i	$-0.934124\pi$
$751$	−35.3527	+	20.4109i	−1.29004	+	0.744804i	−0.311378	+	0.950286i	$0.600791\pi$
$752$	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
$756$	−26.4621	+	7.46725i	−0.962415	+	0.271581i
$757$	−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	$0.337993\pi$
$762$	24.0597	+	31.0104i	0.871593	+	1.12339i
$763$	−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
$766$	13.9591	+	19.4175i	0.504361	+	0.701582i
$767$	1.45835	+	0.841980i	0.0526580	+	0.0304021i
$768$	−5.86082	+	27.0860i	−0.211484	+	0.977381i
$769$	−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	$0.698646\pi$
$770$	0.00438073	+	0.0666038i	0.000157871	+	0.00240023i
$771$	−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	$0.134087\pi$
$774$	7.16644	+	41.0581i	0.257592	+	1.47580i
$775$	15.4337	−	26.7319i	0.554394	−	0.960238i
$776$	5.34120	−	5.75508i	0.191738	−	0.206595i
$777$	−10.9577	+	0.0278237i	−0.393107	+	0.000998170i
$778$	12.0391	−	26.6786i	0.431624	−	0.956476i
$779$	−37.9259	+	21.8965i	−1.35884	+	0.784524i
$780$	−1.41781	+	1.34632i	−0.0507657	+	0.0482060i
$781$	−0.0374283	+	0.0648277i	−0.00133929	+	0.00231972i
$782$	−20.7405	+	45.9608i	−0.741679	+	1.64356i
$783$	14.2837	−	10.4860i	0.510456	−	0.374738i
$784$	−26.4824	+	9.09291i	−0.945801	+	0.324747i
$785$	−0.441990	−	0.765550i	−0.0157753	−	0.0273236i
$786$	7.93060	+	3.23538i	0.282875	+	0.115402i
$787$	1.41673			0.0505011			0.0252505	−	0.999681i	$-0.491962\pi$
$787$	1.41673			0.0505011			0.0252505	+	0.999681i	$0.491962\pi$
$788$	−2.22121	+	0.448845i	−0.0791273	+	0.0159894i
$789$	−51.6442	+	1.88867i	−1.83858	+	0.0672385i
$790$	0.382866	+	0.532578i	0.0136217	+	0.0189483i
$791$	6.96541	+	4.34384i	0.247661	+	0.154449i
$792$	0.315955	−	0.394728i	0.0112270	−	0.0140260i
$793$	−7.38864	+	12.7975i	−0.262378	+	0.454452i
$794$	22.1749	+	10.0067i	0.786956	+	0.355125i
$795$	−3.56985	+	0.130552i	−0.126609	+	0.00463022i
$796$	−26.2253	−	29.7216i	−0.929531	−	1.05345i
$797$	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	$0.586784\pi$
$798$	−26.6694	+	2.73603i	−0.944087	+	0.0968545i
$799$	−20.9563	+	12.0991i	−0.741382	+	0.428037i
$800$	0.697970	−	27.7685i	0.0246770	−	0.981764i
$801$	25.2738	−	17.1689i	0.893006	−	0.606632i
$802$	−18.2337	−	25.3636i	−0.643854	−	0.895620i
$803$	0.442526			0.0156164
$804$	27.0960	+	28.5348i	0.955602	+	1.00634i
$805$	−3.87796	−	2.41841i	−0.136680	−	0.0852378i
$806$	15.2765	+	6.89373i	0.538091	+	0.242821i
$807$	12.5368	−	23.6723i	0.441315	−	0.833304i
$808$	−25.2192	−	5.75925i	−0.887208	−	0.202610i
$809$	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	$0.723250\pi$
$810$	3.66454	+	1.04458i	0.128759	+	0.0367029i
$811$	−18.8626			−0.662355			−0.331178	−	0.943568i	$-0.607446\pi$
$811$	−18.8626			−0.662355			−0.331178	+	0.943568i	$0.607446\pi$
$812$	13.9286	−	11.4717i	0.488799	−	0.402579i
$813$	−1.44349	−	39.4709i	−0.0506253	−	1.38431i
$814$	0.163610	−	0.117618i	0.00573452	−	0.00412250i
$815$	−4.16424			−0.145867
$816$	3.77417	−	42.6464i	0.132122	−	1.49292i
$817$			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	$0.456169\pi$
$822$	−3.15267	−	22.9958i	−0.109962	−	0.802070i
$823$			21.2654i			0.741266i	0.928779	+	0.370633i	$0.120859\pi$
$823$			21.2654i			0.741266i	−0.928779	+	0.370633i	$0.879141\pi$
$824$	−7.32133	−	6.79481i	−0.255051	−	0.236709i
$825$	−0.237182	+	0.447853i	−0.00825761	+	0.0155922i
$826$	−0.219348	−	3.33493i	−0.00763210	−	0.116037i
$827$			18.3753i			0.638973i	0.947591	+	0.319486i	$0.103510\pi$
$827$			18.3753i			0.638973i	−0.947591	+	0.319486i	$0.896490\pi$
$828$	9.31729	+	33.3418i	0.323798	+	1.15871i
$829$	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	$0.171650\pi$
$830$	3.55947	+	1.60626i	0.123551	+	0.0557542i
$831$	1.23626	+	33.8044i	0.0428852	+	1.17266i
$832$	15.0402	−	1.12353i	0.521425	−	0.0389516i
$833$	38.8451	−	19.0318i	1.34590	−	0.659412i
$834$	−6.84703	−	49.9427i	−0.237093	−	1.72937i
$835$			4.00224i			0.138503i
$836$	0.369661	−	0.326176i	0.0127850	−	0.0112810i
$837$	−3.57486	−	32.4676i	−0.123565	−	1.12224i
$838$	−5.22005	+	11.5676i	−0.180324	+	0.399597i
$839$	2.88329	+	4.99401i	0.0995422	+	0.172412i	0.911495	−	0.411311i	$-0.134929\pi$
$839$	2.88329	+	4.99401i	0.0995422	+	0.172412i	−0.811953	+	0.583723i	$0.801595\pi$
$840$	3.78523	+	0.854317i	0.130603	+	0.0294767i
$841$	8.68558	−	15.0439i	0.299503	−	0.518754i
$842$	−8.65037	−	12.0329i	−0.298111	−	0.414682i
$843$	−11.1970	−	5.92989i	−0.385644	−	0.204236i
$844$	42.0528	+	14.1327i	1.44752	+	0.486466i
$845$	−2.44904	−	1.41395i	−0.0842494	−	0.0486414i
$846$	−5.70920	+	15.6019i	−0.196286	+	0.536403i
$847$	25.6762	−	13.6816i	0.882244	−	0.470106i
$848$	21.9630	+	16.6418i	0.754212	+	0.571481i
$849$	27.5630	−	17.2865i	0.945959	−	0.593271i
$850$	4.27104	+	42.6996i	0.146495	+	1.46458i
$851$			13.7968i			0.472948i
$852$	2.99664	+	3.15576i	0.102663	+	0.108115i
$853$	−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	$0.445745\pi$
$854$	29.2651	−	1.92485i	1.00143	−	0.0658670i
$855$	3.34476	+	1.61773i	0.114389	+	0.0553250i
$856$	−43.4159	−	9.91479i	−1.48393	−	0.338881i
$857$	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	$0.462609\pi$
$858$	−0.254779	−	0.103940i	−0.00869801	−	0.00354845i
$859$	18.5799	+	32.1813i	0.633938	+	1.09801i	0.986739	+	0.162315i	$0.0518960\pi$
$859$	18.5799	+	32.1813i	0.633938	+	1.09801i	−0.352801	+	0.935698i	$0.614771\pi$
$860$	1.87382	−	5.57570i	0.0638969	−	0.190130i
$861$	−0.123181	−	48.5122i	−0.00419801	−	1.65329i
$862$	−5.13891	+	3.69432i	−0.175032	+	0.125829i
$863$	−1.14573	−	0.661488i	−0.0390012	−	0.0225173i	0.480373	−	0.877064i	$-0.340501\pi$
$863$	−1.14573	−	0.661488i	−0.0390012	−	0.0225173i	−0.519374	+	0.854547i	$0.673835\pi$
$864$	−16.7938	−	24.1240i	−0.571336	−	0.820716i
$865$	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
$868$	−5.47576	−	32.8094i	−0.185860	−	1.11362i
$869$	−0.0461554	+	0.0799435i	−0.00156571	+	0.00271190i
$870$	−2.47757	+	0.339670i	−0.0839976	+	0.0115159i
$871$	10.7077	−	18.5463i	0.362817	−	0.628417i
$872$	−8.74684	−	8.11781i	−0.296206	−	0.274904i
$873$	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
$876$	7.29881	−	24.6696i	0.246604	−	0.833508i
$877$	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	$0.949959\pi$
$882$	12.0780	−	27.1315i	0.406689	−	0.913567i
$883$		−	52.5549i		−	1.76861i	−0.466905	−	0.884307i	$-0.654631\pi$
$883$		−	52.5549i		−	1.76861i	0.466905	−	0.884307i	$-0.345369\pi$
$884$	−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	$-0.863076\pi$
$887$	−24.2905	−	42.0724i	−0.815596	−	1.41265i	0.0933030	−	0.995638i	$-0.470257\pi$
$888$	−3.85835	−	11.0607i	−0.129478	−	0.371173i
$889$	−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
$892$	14.5127	+	16.4475i	0.485921	+	0.550703i
$893$	−8.09956	+	14.0288i	−0.271041	+	0.469457i
$894$	−7.90001	−	3.22289i	−0.264216	−	0.107790i
$895$	1.56261	−	2.70652i	0.0522322	−	0.0904689i
$896$	−18.4433	−	23.5764i	−0.616147	−	0.787632i
$897$	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
$900$	21.0546	+	20.6089i	0.701820	+	0.686963i
$901$	−36.8671	−	21.2853i	−1.22822	−	0.709115i
$902$	0.520717	+	0.724334i	0.0173380	+	0.0241177i
$903$	−39.0440	−	22.4101i	−1.29930	−	0.745761i
$904$	−1.95378	+	8.55542i	−0.0649818	+	0.284549i
$905$	1.99994	+	3.46399i	0.0664801	+	0.115147i
$906$	30.4021	−	4.16806i	1.01004	−	0.138474i
$907$	2.86507	+	1.65415i	0.0951330	+	0.0549251i	0.546812	−	0.837256i	$-0.315841\pi$
$907$	2.86507	+	1.65415i	0.0951330	+	0.0549251i	−0.451679	+	0.892181i	$0.649175\pi$
$908$	8.63139	−	25.6833i	0.286443	−	0.852332i
$909$	22.6961	−	15.4178i	0.752783	−	0.511377i
$910$	−0.138603	−	2.10729i	−0.00459464	−	0.0698560i
$911$	30.5080	−	17.6138i	1.01078	−	0.583571i	0.0993568	−	0.995052i	$-0.468321\pi$
$911$	30.5080	−	17.6138i	1.01078	−	0.583571i	0.911419	+	0.411480i	$0.134988\pi$
$912$	−12.0864	−	25.9873i	−0.400220	−	0.860526i
$913$			0.549590i			0.0181888i
$914$	−5.37874	+	0.538010i	−0.177913	+	0.0177958i
$915$	−3.59190	−	1.90226i	−0.118745	−	0.0628868i
$916$	33.8907	−	29.9040i	1.11978	−	0.988056i
$917$	−8.16466	+	4.35057i	−0.269621	+	0.143668i
$918$	30.3825	+	33.7488i	1.00277	+	1.11388i
$919$	−17.1249	−	9.88707i	−0.564899	−	0.326144i	0.190211	−	0.981743i	$-0.439083\pi$
$919$	−17.1249	−	9.88707i	−0.564899	−	0.326144i	−0.755109	+	0.655599i	$0.772416\pi$
$920$	1.08776	−	4.76319i	0.0358623	−	0.157038i
$921$	−17.2210	+	10.8004i	−0.567452	+	0.355885i
$922$	1.01704	−	0.731144i	0.0334945	−	0.0240789i
$923$	1.18420	−	2.05110i	0.0389785	−	0.0675127i
$924$	0.109528	+	0.535021i	0.00360320	+	0.0176009i
$925$	5.87080	+	10.1685i	0.193031	+	0.334339i
$926$	−23.4505	−	10.5824i	−0.770631	−	0.347759i
$927$	10.5662	−	0.773863i	0.347039	−	0.0254170i
$928$	16.4584	+	10.0620i	0.540274	+	0.330301i
$929$			1.99581i			0.0654805i	0.999464	+	0.0327402i	$0.0104234\pi$
$929$			1.99581i			0.0654805i	−0.999464	+	0.0327402i	$0.989577\pi$
$930$	−1.74131	+	4.26832i	−0.0570998	+	0.139964i
$931$	16.1500	−	24.0356i	0.529295	−	0.787737i
$932$	16.6407	−	49.5155i	0.545083	−	1.62194i
$933$	−41.5758	+	26.0748i	−1.36113	+	0.853651i
$934$	−4.51923	+	10.0146i	−0.147874	+	0.327688i
$935$	0.0954683	−	0.0551186i	0.00312215	−	0.00180257i
$936$	−9.99656	+	12.4889i	−0.326748	+	0.408212i
$937$		−	21.3537i		−	0.697596i	−0.937198	−	0.348798i	$-0.886590\pi$
$937$		−	21.3537i		−	0.697596i	0.937198	−	0.348798i	$-0.113410\pi$
$938$	−42.4113	+	2.78952i	−1.38478	+	0.0910809i
$939$	−2.96508	−	4.72776i	−0.0967617	−	0.154285i
$940$	1.75813	−	1.55131i	0.0573437	−	0.0505981i
$941$		−	25.7445i		−	0.839247i	−0.907698	−	0.419624i	$-0.862162\pi$
$941$		−	25.7445i		−	0.839247i	0.907698	−	0.419624i	$-0.137838\pi$
$942$	−4.43353	−	5.71434i	−0.144452	−	0.186183i
$943$	−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	$-0.935123\pi$
$947$		−	12.4576i		−	0.404817i	0.979301	−	0.202409i	$-0.0648769\pi$
$948$	3.69536	+	3.89158i	0.120020	+	0.126393i
$949$	−14.0012			−0.454498
$950$	16.7683	+	23.3253i	0.544037	+	0.756772i
$951$	45.0081	−	28.2274i	1.45949	−	0.915337i
$952$	32.8057	+	32.5921i	1.06324	+	1.05631i
$953$	4.74584			0.153733			0.0768665	−	0.997041i	$-0.475508\pi$
$953$	4.74584			0.153733			0.0768665	+	0.997041i	$0.475508\pi$
$954$	−28.7920	+	5.02547i	−0.932177	+	0.162706i
$955$	2.89019	+	5.00595i	0.0935243	+	0.161989i
$956$	−54.3609	−	18.2690i	−1.75816	−	0.590863i
$957$	−0.186994	−	0.298159i	−0.00604466	−	0.00963810i
$958$	1.96883	−	4.36292i	0.0636100	−	0.140960i
$959$	21.2729	+	13.2665i	0.686939	+	0.428396i
$960$	0.460011	+	4.12278i	0.0148468	+	0.133062i
$961$	8.51570			0.274700
$962$	−5.17648	+	3.72133i	−0.166897	+	0.119980i
$963$	39.0724	−	26.5424i	1.25909	−	0.855318i
$964$	20.2364	+	6.80085i	0.651772	+	0.219041i
$965$	0.391971	−	0.226305i	0.0126180	−	0.00728500i
$966$	−34.1223	−	15.2940i	−1.09787	−	0.492076i
$967$	24.7846	+	14.3094i	0.797020	+	0.460160i	0.842428	−	0.538809i	$-0.181125\pi$
$967$	24.7846	+	14.3094i	0.797020	+	0.460160i	−0.0454079	+	0.998969i	$0.514459\pi$
$968$	22.7974	+	21.1579i	0.732735	+	0.680040i
$969$	23.5251	+	37.5104i	0.755736	+	1.20501i
$970$	0.483441	−	1.07130i	0.0155224	−	0.0343975i
$971$	23.7362	−	41.1122i	0.761729	−	1.31935i	−0.180229	−	0.983625i	$-0.557684\pi$
$971$	23.7362	−	41.1122i	0.761729	−	1.31935i	0.941958	−	0.335729i	$-0.108983\pi$
$972$	30.8656	+	4.39493i	0.990014	+	0.140967i
$973$	46.2010	+	28.8124i	1.48114	+	0.923682i
$974$	22.7142	−	16.3290i	0.727810	−	0.523216i
$975$	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	$0.451958\pi$
$978$	−33.7552	+	4.62777i	−1.07937	+	0.147980i
$979$	−0.303431	−	0.525558i	−0.00969770	−	0.0167969i
$980$	−3.32406	+	2.55305i	−0.106183	+	0.0815543i
$981$	12.6235	−	0.924539i	0.403036	−	0.0295183i
$982$	−32.2213	−	14.5403i	−1.02822	−	0.464000i
$983$	20.5769	−	35.6402i	0.656301	−	1.13675i	−0.325265	−	0.945623i	$-0.605453\pi$
$983$	20.5769	−	35.6402i	0.656301	−	1.13675i	0.981566	−	0.191124i	$-0.0612132\pi$
$984$	48.9680	−	17.0817i	1.56104	−	0.544546i
$985$	−0.293770	+	0.169608i	−0.00936028	+	0.00540416i
$986$	−27.1638	−	12.2581i	−0.865072	−	0.390376i
$987$	−9.01183	−	15.5178i	−0.286850	−	0.493938i
$988$	−11.6958	+	10.3199i	−0.372092	+	0.328321i
$989$	−28.3410	+	49.0880i	−0.901191	+	1.56091i
$990$	0.0260087	−	0.0710756i	0.000826612	−	0.00225893i
$991$	16.7767	−	9.68604i	0.532930	−	0.307687i	−0.209279	−	0.977856i	$-0.567112\pi$
$991$	16.7767	−	9.68604i	0.532930	−	0.307687i	0.742209	+	0.670169i	$0.233778\pi$
$992$	31.2328	−	17.0005i	0.991641	−	0.539766i
$993$	−14.0900	−	22.4662i	−0.447133	−	0.712945i
$994$	−4.69041	+	0.308502i	−0.148771	+	0.00978509i
$995$	−5.13847	−	2.96670i	−0.162901	−	0.0940507i
$996$	30.6381	+	9.06466i	0.970805	+	0.287225i
$997$	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	$0.551946\pi$
$998$	1.51625	−	1.09002i	0.0479962	−	0.0345040i
$999$	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.103.4	yes	84
3.2	odd	2		756.2.bj.b.523.39		84
4.3	odd	2	inner	252.2.bj.b.103.3	yes	84
7.3	odd	6		252.2.n.b.31.26	✓	84
9.2	odd	6		756.2.n.b.19.12		84
9.7	even	3		252.2.n.b.187.31	yes	84
12.11	even	2		756.2.bj.b.523.40		84
21.17	even	6		756.2.n.b.199.17		84
28.3	even	6		252.2.n.b.31.31	yes	84
36.7	odd	6		252.2.n.b.187.26	yes	84
36.11	even	6		756.2.n.b.19.17		84
63.38	even	6		756.2.bj.b.451.39		84
63.52	odd	6	inner	252.2.bj.b.115.4	yes	84
84.59	odd	6		756.2.n.b.199.12		84
252.115	even	6	inner	252.2.bj.b.115.3	yes	84
252.227	odd	6		756.2.bj.b.451.40		84

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

\(f(q)\)	\(=\)	\(q+(-1.40719 + 0.140755i) q^{2} +(-1.46735 + 0.920267i) q^{3} +(1.96038 - 0.396138i) q^{4} +(0.259273 - 0.149691i) q^{5} +(1.93531 - 1.50153i) q^{6} +(-0.0899789 + 2.64422i) q^{7} +(-2.70287 + 0.833374i) q^{8} +(1.30622 - 2.70070i) q^{9} +O(q^{10})\)	\(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} +(1.93531 - 1.50153i) q^{6} +(-0.0899789 + 2.64422i) q^{7} +(-2.70287 + 0.833374i) q^{8} +(1.30622 - 2.70070i) q^{9} +(-0.343777 + 0.247138i) q^{10} +(-0.0516032 - 0.0297931i) q^{11} +(-2.51200 + 2.38534i) q^{12} +(1.63268 + 0.942631i) q^{13} +(-0.245569 - 3.73359i) q^{14} +(-0.242688 + 0.458249i) q^{15} +(3.68615 - 1.55316i) q^{16} +(-5.35164 + 3.08977i) q^{17} +(-1.45796 + 3.98426i) q^{18} +(-2.06839 + 3.58256i) q^{19} +(0.448974 - 0.396159i) q^{20} +(-2.30136 - 3.96280i) q^{21} +(0.0768091 + 0.0346612i) q^{22} +(-4.99685 + 2.88493i) q^{23} +(3.19912 - 3.71021i) q^{24} +(-2.45519 + 4.25251i) q^{25} +(-2.43018 - 1.09665i) q^{26} +(0.568688 + 5.16494i) q^{27} +(0.871084 + 5.21931i) q^{28} +(-1.70505 - 2.95324i) q^{29} +(0.277007 - 0.679004i) q^{30} -6.28615 q^{31} +(-4.96850 + 2.70444i) q^{32} +(0.103137 - 0.00377183i) q^{33} +(7.09588 - 5.10116i) q^{34} +(0.372488 + 0.699044i) q^{35} +(1.49083 - 5.81183i) q^{36} +(1.19559 - 2.07083i) q^{37} +(2.40636 - 5.33248i) q^{38} +(-3.26319 + 0.119338i) q^{39} +(-0.576031 + 0.620667i) q^{40} +(9.16797 + 5.29313i) q^{41} +(3.79623 + 5.25249i) q^{42} +(8.50766 - 4.91190i) q^{43} +(-0.112964 - 0.0379637i) q^{44} +(-0.0656043 - 0.895748i) q^{45} +(6.62545 - 4.76298i) q^{46} +3.91588 q^{47} +(-3.97954 + 5.67126i) q^{48} +(-6.98381 - 0.475848i) q^{49} +(2.85636 - 6.32967i) q^{50} +(5.00930 - 9.45870i) q^{51} +(3.57409 + 1.20114i) q^{52} +(3.44447 + 5.96600i) q^{53} +(-1.52724 - 7.18801i) q^{54} -0.0178391 q^{55} +(-1.96042 - 7.22196i) q^{56} +(-0.261859 - 7.16033i) q^{57} +(2.81502 + 3.91578i) q^{58} +0.893223 q^{59} +(-0.294229 + 0.994479i) 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} +(-0.144603 + 0.0198248i) q^{66} -11.3594i q^{67} +(-9.26724 + 8.17709i) q^{68} +(4.67721 - 8.83163i) q^{69} +(-0.622555 - 0.931259i) q^{70} -1.25627i q^{71} +(-1.27984 + 8.38821i) q^{72} +(-6.43167 + 3.71333i) q^{73} +(-1.39095 + 3.08233i) q^{74} +(-0.310828 - 8.49933i) q^{75} +(-2.63564 + 7.84253i) q^{76} +(0.0834228 - 0.133770i) q^{77} +(4.57513 - 0.627240i) q^{78} -1.54920i q^{79} +(0.723224 - 0.954476i) q^{80} +(-5.58758 - 7.05542i) q^{81} +(-13.6461 - 6.15801i) q^{82} +(-4.61172 - 7.98773i) q^{83} +(-6.08134 - 6.85692i) q^{84} +(-0.925022 + 1.60219i) q^{85} +(-11.2805 + 8.10948i) q^{86} +(5.21968 + 2.76433i) q^{87} +(0.164305 + 0.0375220i) q^{88} +(8.82012 + 5.09230i) q^{89} +(0.218399 + 1.25126i) q^{90} +(-2.63943 + 4.23236i) q^{91} +(-8.65287 + 7.63499i) q^{92} +(9.22397 - 5.78493i) q^{93} +(-5.51039 + 0.551178i) q^{94} +1.23848i q^{95} +(4.80172 - 8.54069i) q^{96} +(-2.40408 + 1.38800i) q^{97} +(9.89453 - 0.313395i) 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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