LMFDB - Embedded newform 261.2.l.a.128.18

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [261,2,Mod(41,261)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(261, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([10, 3]))

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

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

chi := DirichletCharacter("261.41");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 261 = 3^{2} \cdot 29 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	261.l (of order $12$, degree $4$, 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:	$2.08409549276$
Analytic rank:	$0$
Dimension:	$112$
Relative dimension:	$28$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			128.18
Character	$\chi$	$=$	261.128
Dual form			261.2.l.a.104.18

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.188476 + 0.703401i) q^{2} +(-0.997788 - 1.41578i) q^{3} +(1.27280 - 0.734852i) q^{4} +(0.0672512 + 0.116482i) q^{5} +(0.807798 - 0.968684i) q^{6} +(0.205252 - 0.355506i) q^{7} +(1.78664 + 1.78664i) q^{8} +(-1.00884 + 2.82529i) q^{9} +O(q^{10})$	\(q+(0.188476 + 0.703401i) q^{2} +(-0.997788 - 1.41578i) q^{3} +(1.27280 - 0.734852i) q^{4} +(0.0672512 + 0.116482i) q^{5} +(0.807798 - 0.968684i) q^{6} +(0.205252 - 0.355506i) q^{7} +(1.78664 + 1.78664i) q^{8} +(-1.00884 + 2.82529i) q^{9} +(-0.0692586 + 0.0692586i) q^{10} +(-1.30249 - 4.86097i) q^{11} +(-2.31037 - 1.06877i) q^{12} +(4.99820 - 2.88571i) q^{13} +(0.288748 + 0.0773698i) q^{14} +(0.0978105 - 0.211437i) q^{15} +(0.549721 - 0.952144i) q^{16} +(-0.180756 + 0.180756i) q^{17} +(-2.17745 - 0.177120i) q^{18} +(-1.19825 - 1.19825i) q^{19} +(0.171195 + 0.0988394i) q^{20} +(-0.708115 + 0.0641297i) q^{21} +(3.17372 - 1.83235i) q^{22} +(-4.60486 + 2.65861i) q^{23} +(0.746791 - 4.31216i) q^{24} +(2.49095 - 4.31446i) q^{25} +(2.97185 + 2.97185i) q^{26} +(5.00658 - 1.39075i) q^{27} -0.603319i q^{28} +(3.44023 + 4.14305i) q^{29} +(0.167160 + 0.0289492i) q^{30} +(-2.39422 + 8.93534i) q^{31} +(5.65453 + 1.51513i) q^{32} +(-5.58243 + 6.69426i) q^{33} +(-0.161212 - 0.0930756i) q^{34} +0.0552137 q^{35} +(0.792118 + 4.33738i) q^{36} +(3.05715 - 3.05715i) q^{37} +(0.617009 - 1.06869i) q^{38} +(-9.07267 - 4.19700i) q^{39} +(-0.0879584 + 0.328265i) q^{40} +(-2.42796 + 9.06126i) q^{41} +(-0.178571 - 0.486001i) q^{42} +(-7.99674 + 2.14272i) q^{43} +(-5.22992 - 5.22992i) q^{44} +(-0.396942 + 0.0724919i) q^{45} +(-2.73797 - 2.73797i) q^{46} +(-1.87986 + 0.503706i) q^{47} +(-1.89653 + 0.171757i) q^{48} +(3.41574 + 5.91624i) q^{49} +(3.50428 + 0.938968i) q^{50} +(0.436265 + 0.0755535i) q^{51} +(4.24115 - 7.34588i) q^{52} -3.51955i q^{53} +(1.92187 + 3.25951i) q^{54} +(0.478624 - 0.478624i) q^{55} +(1.00187 - 0.268451i) q^{56} +(-0.500853 + 2.89205i) q^{57} +(-2.26582 + 3.20072i) q^{58} +(-6.31337 + 3.64503i) q^{59} +(-0.0308818 - 0.340994i) q^{60} +(-6.76993 + 1.81400i) q^{61} -6.73638 q^{62} +(0.797341 + 0.938543i) q^{63} +2.06408i q^{64} +(0.672270 + 0.388135i) q^{65} +(-5.76090 - 2.66498i) q^{66} +(6.27395 - 3.62227i) q^{67} +(-0.0972373 + 0.362895i) q^{68} +(8.35867 + 3.86671i) q^{69} +(0.0104064 + 0.0388373i) q^{70} +11.4933 q^{71} +(-6.85019 + 3.24533i) q^{72} +(-5.84846 + 5.84846i) q^{73} +(2.72660 + 1.57420i) q^{74} +(-8.59375 + 0.778285i) q^{75} +(-2.40567 - 0.644598i) q^{76} +(-1.99545 - 0.534678i) q^{77} +(1.24220 - 7.17275i) q^{78} +(5.15317 - 1.38079i) q^{79} +0.147877 q^{80} +(-6.96449 - 5.70051i) q^{81} -6.83131 q^{82} +(-3.38353 - 1.95348i) q^{83} +(-0.854163 + 0.601984i) q^{84} +(-0.0332109 - 0.00889883i) q^{85} +(-3.01438 - 5.22106i) q^{86} +(2.43301 - 9.00447i) q^{87} +(6.35771 - 11.0119i) q^{88} +(-2.38662 + 2.38662i) q^{89} +(-0.125805 - 0.265546i) q^{90} -2.36919i q^{91} +(-3.90738 + 6.76778i) q^{92} +(15.0394 - 5.52590i) q^{93} +(-0.708614 - 1.22736i) q^{94} +(0.0589914 - 0.220159i) q^{95} +(-3.49694 - 9.51732i) q^{96} +(-2.51275 - 9.37772i) q^{97} +(-3.51770 + 3.51770i) q^{98} +(15.0477 + 1.22402i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 112 q - 6 q^{2} - 4 q^{3} - 4 q^{7}+O(q^{10}) $ 112 * q - 6 * q^2 - 4 * q^3 - 4 * q^7	$ 112 q - 6 q^{2} - 4 q^{3} - 4 q^{7} + 6 q^{11} - 18 q^{12} - 18 q^{14} - 8 q^{15} + 40 q^{16} + 22 q^{18} - 8 q^{19} - 12 q^{20} + 24 q^{21} - 12 q^{23} - 96 q^{24} - 44 q^{25} + 20 q^{27} - 42 q^{29} + 28 q^{30} - 2 q^{31} - 66 q^{32} + 12 q^{36} - 8 q^{37} - 12 q^{39} - 12 q^{40} - 18 q^{41} - 2 q^{43} - 52 q^{45} + 8 q^{46} - 36 q^{49} + 24 q^{50} - 36 q^{52} + 8 q^{54} + 36 q^{55} + 84 q^{56} + 28 q^{58} + 48 q^{59} - 36 q^{60} - 14 q^{61} + 24 q^{65} + 18 q^{66} - 102 q^{68} + 36 q^{69} - 8 q^{73} + 144 q^{74} + 18 q^{75} + 14 q^{76} - 72 q^{77} + 12 q^{78} - 2 q^{79} - 56 q^{81} + 80 q^{82} - 120 q^{83} - 14 q^{84} - 48 q^{85} - 76 q^{87} - 36 q^{88} + 160 q^{90} - 40 q^{94} + 204 q^{95} + 22 q^{97} - 54 q^{99}+O(q^{100}) $ 112 * q - 6 * q^2 - 4 * q^3 - 4 * q^7 + 6 * q^11 - 18 * q^12 - 18 * q^14 - 8 * q^15 + 40 * q^16 + 22 * q^18 - 8 * q^19 - 12 * q^20 + 24 * q^21 - 12 * q^23 - 96 * q^24 - 44 * q^25 + 20 * q^27 - 42 * q^29 + 28 * q^30 - 2 * q^31 - 66 * q^32 + 12 * q^36 - 8 * q^37 - 12 * q^39 - 12 * q^40 - 18 * q^41 - 2 * q^43 - 52 * q^45 + 8 * q^46 - 36 * q^49 + 24 * q^50 - 36 * q^52 + 8 * q^54 + 36 * q^55 + 84 * q^56 + 28 * q^58 + 48 * q^59 - 36 * q^60 - 14 * q^61 + 24 * q^65 + 18 * q^66 - 102 * q^68 + 36 * q^69 - 8 * q^73 + 144 * q^74 + 18 * q^75 + 14 * q^76 - 72 * q^77 + 12 * q^78 - 2 * q^79 - 56 * q^81 + 80 * q^82 - 120 * q^83 - 14 * q^84 - 48 * q^85 - 76 * q^87 - 36 * q^88 + 160 * q^90 - 40 * q^94 + 204 * q^95 + 22 * q^97 - 54 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/261\mathbb{Z}\right)^\times$.

$n$	$118$	$146$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{1}{6}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	0.188476	+	0.703401i	0.133272	+	0.497379i	0.999999	−	0.00140418i	$-0.000446964\pi$
$2$	0.188476	+	0.703401i	0.133272	+	0.497379i	−0.866727	+	0.498783i	$0.833780\pi$
$3$	−0.997788	−	1.41578i	−0.576073	−	0.817398i
$3$	−0.997788	−	1.41578i	−0.576073	−	0.817398i
$4$	1.27280	−	0.734852i	0.636401	−	0.367426i
$5$	0.0672512	+	0.116482i	0.0300756	+	0.0520925i	0.880671	−	0.473728i	$-0.157092\pi$
$5$	0.0672512	+	0.116482i	0.0300756	+	0.0520925i	−0.850596	+	0.525820i	$0.823759\pi$
$6$	0.807798	−	0.968684i	0.329782	−	0.395463i
$7$	0.205252	−	0.355506i	0.0775778	−	0.134369i	−0.824627	−	0.565678i	$-0.808615\pi$
$7$	0.205252	−	0.355506i	0.0775778	−	0.134369i	0.902204	+	0.431309i	$0.141948\pi$
$8$	1.78664	+	1.78664i	0.631672	+	0.631672i
$9$	−1.00884	+	2.82529i	−0.336279	+	0.941762i
$10$	−0.0692586	+	0.0692586i	−0.0219015	+	0.0219015i
$11$	−1.30249	−	4.86097i	−0.392717	−	1.46564i	−0.825634	−	0.564206i	$-0.809183\pi$
$11$	−1.30249	−	4.86097i	−0.392717	−	1.46564i	0.432918	−	0.901434i	$-0.357484\pi$
$12$	−2.31037	−	1.06877i	−0.666947	−	0.308528i
$13$	4.99820	−	2.88571i	1.38625	−	0.800353i	0.393362	−	0.919384i	$-0.371312\pi$
$13$	4.99820	−	2.88571i	1.38625	−	0.800353i	0.992891	+	0.119031i	$0.0379787\pi$
$14$	0.288748	+	0.0773698i	0.0771712	+	0.0206780i
$15$	0.0978105	−	0.211437i	0.0252546	−	0.0545929i
$16$	0.549721	−	0.952144i	0.137430	−	0.238036i
$17$	−0.180756	+	0.180756i	−0.0438397	+	0.0438397i	−0.728687	−	0.684847i	$-0.759869\pi$
$17$	−0.180756	+	0.180756i	−0.0438397	+	0.0438397i	0.684847	+	0.728687i	$0.259869\pi$
$18$	−2.17745	−	0.177120i	−0.513230	−	0.0417475i
$19$	−1.19825	−	1.19825i	−0.274897	−	0.274897i	0.556171	−	0.831068i	$-0.312270\pi$
$19$	−1.19825	−	1.19825i	−0.274897	−	0.274897i	−0.831068	+	0.556171i	$0.812270\pi$
$20$	0.171195	+	0.0988394i	0.0382803	+	0.0221012i
$21$	−0.708115	+	0.0641297i	−0.154523	+	0.0139943i
$22$	3.17372	−	1.83235i	0.676640	−	0.390658i
$23$	−4.60486	+	2.65861i	−0.960179	+	0.554359i	−0.896228	−	0.443594i	$-0.853703\pi$
$23$	−4.60486	+	2.65861i	−0.960179	+	0.554359i	−0.0639506	+	0.997953i	$0.520370\pi$
$24$	0.746791	−	4.31216i	0.152438	−	0.880216i
$25$	2.49095	−	4.31446i	0.498191	−	0.862892i
$26$	2.97185	+	2.97185i	0.582828	+	0.582828i
$27$	5.00658	−	1.39075i	0.963516	−	0.267650i
$28$		−	0.603319i		−	0.114016i
$29$	3.44023	+	4.14305i	0.638834	+	0.769345i
$29$	3.44023	+	4.14305i	0.638834	+	0.769345i
$30$	0.167160	+	0.0289492i	0.0305191	+	0.00528538i
$31$	−2.39422	+	8.93534i	−0.430014	+	1.60483i	0.322709	+	0.946498i	$0.395406\pi$
$31$	−2.39422	+	8.93534i	−0.430014	+	1.60483i	−0.752724	+	0.658337i	$0.771260\pi$
$32$	5.65453	+	1.51513i	0.999589	+	0.267839i
$33$	−5.58243	+	6.69426i	−0.971777	+	1.16532i
$34$	−0.161212	−	0.0930756i	−0.0276476	−	0.0159623i
$35$	0.0552137			0.00933281
$36$	0.792118	+	4.33738i	0.132020	+	0.722896i
$37$	3.05715	−	3.05715i	0.502592	−	0.502592i	−0.409650	−	0.912243i	$-0.634349\pi$
$37$	3.05715	−	3.05715i	0.502592	−	0.502592i	0.912243	+	0.409650i	$0.134349\pi$
$38$	0.617009	−	1.06869i	0.100092	−	0.173365i
$39$	−9.07267	−	4.19700i	−1.45279	−	0.672058i
$40$	−0.0879584	+	0.328265i	−0.0139075	+	0.0519033i
$41$	−2.42796	+	9.06126i	−0.379183	+	1.41513i	0.467952	+	0.883754i	$0.344992\pi$
$41$	−2.42796	+	9.06126i	−0.379183	+	1.41513i	−0.847135	+	0.531377i	$0.821675\pi$
$42$	−0.178571	−	0.486001i	−0.0275541	−	0.0749916i
$43$	−7.99674	+	2.14272i	−1.21949	+	0.326762i	−0.810479	−	0.585767i	$-0.800793\pi$
$43$	−7.99674	+	2.14272i	−1.21949	+	0.326762i	−0.409012	+	0.912529i	$0.634127\pi$
$44$	−5.22992	−	5.22992i	−0.788439	−	0.788439i
$45$	−0.396942	+	0.0724919i	−0.0591726	+	0.0108065i
$46$	−2.73797	−	2.73797i	−0.403692	−	0.403692i
$47$	−1.87986	+	0.503706i	−0.274205	+	0.0734730i	−0.393301	−	0.919410i	$-0.628667\pi$
$47$	−1.87986	+	0.503706i	−0.274205	+	0.0734730i	0.119096	+	0.992883i	$0.462000\pi$
$48$	−1.89653	+	0.171757i	−0.273740	+	0.0247910i
$49$	3.41574	+	5.91624i	0.487963	+	0.845177i
$50$	3.50428	+	0.938968i	0.495580	+	0.132790i
$51$	0.436265	+	0.0755535i	0.0610893	+	0.0105796i
$52$	4.24115	−	7.34588i	0.588141	−	1.01869i
$53$		−	3.51955i		−	0.483448i	−0.970345	−	0.241724i	$-0.922287\pi$
$53$		−	3.51955i		−	0.483448i	0.970345	−	0.241724i	$-0.0777128\pi$
$54$	1.92187	+	3.25951i	0.261534	+	0.443563i
$55$	0.478624	−	0.478624i	0.0645377	−	0.0645377i
$56$	1.00187	−	0.268451i	0.133881	−	0.0358732i
$57$	−0.500853	+	2.89205i	−0.0663396	+	0.383062i
$58$	−2.26582	+	3.20072i	−0.297517	+	0.420275i
$59$	−6.31337	+	3.64503i	−0.821931	+	0.474542i	−0.851082	−	0.525033i	$-0.824053\pi$
$59$	−6.31337	+	3.64503i	−0.821931	+	0.474542i	0.0291508	+	0.999575i	$0.490720\pi$
$60$	−0.0308818	−	0.340994i	−0.00398682	−	0.0440221i
$61$	−6.76993	+	1.81400i	−0.866801	+	0.232259i	−0.664704	−	0.747107i	$-0.731442\pi$
$61$	−6.76993	+	1.81400i	−0.866801	+	0.232259i	−0.202097	+	0.979365i	$0.564776\pi$
$62$	−6.73638			−0.855521
$63$	0.797341	+	0.938543i	0.100456	+	0.118245i
$64$			2.06408i			0.258010i
$65$	0.672270	+	0.388135i	0.0833849	+	0.0481423i
$66$	−5.76090	−	2.66498i	−0.709118	−	0.328037i
$67$	6.27395	−	3.62227i	0.766485	−	0.442530i	−0.0651344	−	0.997877i	$-0.520748\pi$
$67$	6.27395	−	3.62227i	0.766485	−	0.442530i	0.831619	+	0.555346i	$0.187414\pi$
$68$	−0.0972373	+	0.362895i	−0.0117918	+	0.0440074i
$69$	8.35867	+	3.86671i	1.00627	+	0.465497i
$70$	0.0104064	+	0.0388373i	0.00124381	+	0.00464195i
$71$	11.4933			1.36400			0.682000	−	0.731352i	$-0.261110\pi$
$71$	11.4933			1.36400			0.682000	+	0.731352i	$0.261110\pi$
$72$	−6.85019	+	3.24533i	−0.807303	+	0.382466i
$73$	−5.84846	+	5.84846i	−0.684510	+	0.684510i	−0.961013	−	0.276503i	$-0.910824\pi$
$73$	−5.84846	+	5.84846i	−0.684510	+	0.684510i	0.276503	+	0.961013i	$0.410824\pi$
$74$	2.72660	+	1.57420i	0.316961	+	0.182997i
$75$	−8.59375	+	0.778285i	−0.992321	+	0.0898686i
$76$	−2.40567	−	0.644598i	−0.275949	−	0.0739404i
$77$	−1.99545	−	0.534678i	−0.227402	−	0.0609322i
$78$	1.24220	−	7.17275i	0.140651	−	0.812154i
$79$	5.15317	−	1.38079i	0.579777	−	0.155351i	0.0430003	−	0.999075i	$-0.486308\pi$
$79$	5.15317	−	1.38079i	0.579777	−	0.155351i	0.536777	+	0.843724i	$0.319642\pi$
$80$	0.147877			0.0165332
$81$	−6.96449	−	5.70051i	−0.773832	−	0.633391i
$82$	−6.83131			−0.754392
$83$	−3.38353	−	1.95348i	−0.371391	−	0.214423i	0.302675	−	0.953094i	$-0.402120\pi$
$83$	−3.38353	−	1.95348i	−0.371391	−	0.214423i	−0.674066	+	0.738671i	$0.735454\pi$
$84$	−0.854163	+	0.601984i	−0.0931969	+	0.0656818i
$85$	−0.0332109	−	0.00889883i	−0.00360223	−	0.000965214i
$86$	−3.01438	−	5.22106i	−0.325049	−	0.563001i
$87$	2.43301	−	9.00447i	0.260846	−	0.965380i
$88$	6.35771	−	11.0119i	0.677735	−	1.17387i
$89$	−2.38662	+	2.38662i	−0.252981	+	0.252981i	−0.822192	−	0.569211i	$-0.807249\pi$
$89$	−2.38662	+	2.38662i	−0.252981	+	0.252981i	0.569211	+	0.822192i	$0.307249\pi$
$90$	−0.125805	−	0.265546i	−0.0132610	−	0.0279910i
$91$		−	2.36919i		−	0.248359i
$92$	−3.90738	+	6.76778i	−0.407372	+	0.705590i
$93$	15.0394	−	5.52590i	1.55951	−	0.573009i
$94$	−0.708614	−	1.22736i	−0.0730879	−	0.126592i
$95$	0.0589914	−	0.220159i	0.00605239	−	0.0225878i
$96$	−3.49694	−	9.51732i	−0.356905	−	0.971357i
$97$	−2.51275	−	9.37772i	−0.255131	−	0.952163i	−0.968017	−	0.250883i	$-0.919279\pi$
$97$	−2.51275	−	9.37772i	−0.255131	−	0.952163i	0.712886	−	0.701280i	$-0.247388\pi$
$98$	−3.51770	+	3.51770i	−0.355342	+	0.355342i
$99$	15.0477	+	1.22402i	1.51235	+	0.123018i
$100$		−	7.32194i		−	0.732194i
$101$	1.79616	+	6.70336i	0.178725	+	0.667009i	0.995887	+	0.0906021i	$0.0288792\pi$
$101$	1.79616	+	6.70336i	0.178725	+	0.667009i	−0.817163	+	0.576407i	$0.804454\pi$
$102$	0.0290809	+	0.321109i	0.00287944	+	0.0317945i
$103$	4.77534	+	8.27113i	0.470528	+	0.814978i	0.999432	−	0.0337034i	$-0.0107302\pi$
$103$	4.77534	+	8.27113i	0.470528	+	0.814978i	−0.528904	+	0.848682i	$0.677397\pi$
$104$	14.0857	+	3.77425i	1.38122	+	0.370096i
$105$	−0.0550915	−	0.0781701i	−0.00537638	−	0.00762862i
$106$	2.47566	−	0.663350i	0.240457	−	0.0644302i
$107$			4.41345i			0.426664i	0.976980	+	0.213332i	$0.0684316\pi$
$107$			4.41345i			0.426664i	−0.976980	+	0.213332i	$0.931568\pi$
$108$	5.35038	−	5.44924i	0.514841	−	0.524354i
$109$			19.3173i			1.85026i	0.379652	+	0.925130i	$0.376044\pi$
$109$			19.3173i			1.85026i	−0.379652	+	0.925130i	$0.623956\pi$
$110$	0.426873	+	0.246455i	0.0407008	+	0.0234986i
$111$	−7.37862	−	1.27785i	−0.700348	−	0.121288i
$112$	−0.225662	−	0.390858i	−0.0213231	−	0.0369326i
$113$	0.695690	−	2.59635i	0.0654450	−	0.244244i	−0.925452	−	0.378864i	$-0.876315\pi$
$113$	0.695690	−	2.59635i	0.0654450	−	0.244244i	0.990897	+	0.134620i	$0.0429814\pi$
$114$	−2.12867	+	0.192781i	−0.199368	+	0.0180556i
$115$	−0.619364	−	0.357590i	−0.0577560	−	0.0333454i
$116$	7.42325	+	2.74522i	0.689232	+	0.254887i
$117$	3.11059	+	17.0326i	0.287574	+	1.57466i
$118$	−3.75383	−	3.75383i	−0.345568	−	0.345568i
$119$	0.0271594	+	0.101360i	0.00248969	+	0.00929167i
$120$	0.552514	−	0.203010i	0.0504374	−	0.0185322i
$121$	−12.4063	+	7.16278i	−1.12785	+	0.651162i
$122$	−2.55193	−	4.42008i	−0.231041	−	0.400175i
$123$	15.2513	−	5.60378i	1.37516	−	0.505275i
$124$	3.51879	+	13.1323i	0.315997	+	1.17932i
$125$	1.34259			0.120085
$126$	−0.509892	+	0.737743i	−0.0454248	+	0.0657234i
$127$	−5.90094	−	5.90094i	−0.523624	−	0.523624i	0.395040	−	0.918664i	$-0.370731\pi$
$127$	−5.90094	−	5.90094i	−0.523624	−	0.523624i	−0.918664	+	0.395040i	$0.870731\pi$
$128$	9.85719	−	2.64123i	0.871260	−	0.233454i
$129$	11.0127	+	9.18360i	0.969611	+	0.808571i
$130$	−0.146308	+	0.546029i	−0.0128321	+	0.0478899i
$131$	4.01503	−	14.9843i	0.350795	−	1.30918i	−0.534900	−	0.844915i	$-0.679651\pi$
$131$	4.01503	−	14.9843i	0.350795	−	1.30918i	0.885695	−	0.464268i	$-0.153683\pi$
$132$	−2.18604	+	12.6227i	−0.190270	+	1.09867i
$133$	−0.671928	+	0.180043i	−0.0582636	+	0.0156117i
$134$	3.73039	+	3.73039i	0.322257	+	0.322257i
$135$	0.498696	+	0.489649i	0.0429209	+	0.0421423i
$136$	−0.645889			−0.0553846
$137$	−5.87498	−	21.9257i	−0.501933	−	1.87324i	−0.487094	−	0.873350i	$-0.661943\pi$
$137$	−5.87498	−	21.9257i	−0.501933	−	1.87324i	−0.0148393	−	0.999890i	$-0.504724\pi$
$138$	−1.14444	+	6.60827i	−0.0974210	+	0.562533i
$139$	0.541724	+	0.938294i	0.0459484	+	0.0795850i	0.888085	−	0.459679i	$-0.152036\pi$
$139$	0.541724	+	0.938294i	0.0459484	+	0.0795850i	−0.842137	+	0.539264i	$0.818702\pi$
$140$	0.0702760	−	0.0405739i	0.00593941	−	0.00342912i
$141$	2.58883	+	2.15886i	0.218019	+	0.181809i
$142$	2.16620	+	8.08437i	0.181784	+	0.678425i
$143$	−20.5375	−	20.5375i	−1.71743	−	1.71743i
$144$	2.13550	+	2.51368i	0.177958	+	0.209473i
$145$	−0.251233	+	0.679351i	−0.0208638	+	0.0564170i
$146$	−5.21610	−	3.01152i	−0.431687	−	0.249235i
$147$	4.96788	−	10.7391i	0.409744	−	0.885744i
$148$	1.64459	−	6.13770i	0.135185	−	0.504516i
$149$	3.31662	+	5.74456i	0.271708	+	0.470613i	0.969299	−	0.245884i	$-0.0790781\pi$
$149$	3.31662	+	5.74456i	0.271708	+	0.470613i	−0.697591	+	0.716496i	$0.745745\pi$
$150$	−2.16716	−	5.89816i	−0.176948	−	0.481583i
$151$	8.82359	+	5.09430i	0.718053	+	0.414568i	0.814036	−	0.580815i	$-0.197266\pi$
$151$	8.82359	+	5.09430i	0.718053	+	0.414568i	−0.0959823	+	0.995383i	$0.530599\pi$
$152$		−	4.28168i		−	0.347290i
$153$	−0.328333	−	0.693040i	−0.0265442	−	0.0560289i
$154$		−	1.50437i		−	0.121226i
$155$	−1.20182	+	0.322028i	−0.0965329	+	0.0258659i
$156$	−14.6319	+	1.32512i	−1.17149	+	0.106095i
$157$	16.1445	+	4.32592i	1.28847	+	0.345246i	0.837081	−	0.547079i	$-0.184260\pi$
$157$	16.1445	+	4.32592i	1.28847	+	0.345246i	0.451394	+	0.892325i	$0.350927\pi$
$158$	1.94249	+	3.36450i	0.154537	+	0.267665i
$159$	−4.98290	+	3.51177i	−0.395169	+	0.278501i
$160$	0.203788	+	0.760548i	0.0161109	+	0.0601266i
$161$			2.18274i			0.172024i
$162$	2.69711	−	5.97323i	0.211905	−	0.469302i
$163$	−3.42066	+	3.42066i	−0.267927	+	0.267927i	−0.828264	−	0.560337i	$-0.810671\pi$
$163$	−3.42066	+	3.42066i	−0.267927	+	0.267927i	0.560337	+	0.828264i	$0.310671\pi$
$164$	3.56838	+	13.3174i	0.278644	+	1.03991i
$165$	−1.15519	−	0.200059i	−0.0899314	−	0.0155745i
$166$	0.736368	−	2.74816i	0.0571532	−	0.213299i
$167$	−11.9495	−	20.6972i	−0.924683	−	1.60160i	−0.792071	−	0.610429i	$-0.790997\pi$
$167$	−11.9495	−	20.6972i	−0.924683	−	1.60160i	−0.132612	−	0.991168i	$-0.542336\pi$
$168$	−1.37972	−	1.15057i	−0.106448	−	0.0887682i
$169$	10.1547	−	17.5884i	0.781130	−	1.35296i
$170$		−	0.0250378i		−	0.00192031i
$171$	4.59424	−	2.17656i	0.351330	−	0.166446i
$172$	−8.60368	+	8.60368i	−0.656024	+	0.656024i
$173$	5.10803	−	8.84738i	0.388357	−	0.672654i	−0.603872	−	0.797081i	$-0.706376\pi$
$173$	5.10803	−	8.84738i	0.388357	−	0.672654i	0.992229	+	0.124428i	$0.0397095\pi$
$174$	6.79231	+	0.0142577i	0.514924	+	0.00108087i
$175$	−1.02254	−	1.77110i	−0.0772971	−	0.133883i
$176$	−5.34436	−	1.43202i	−0.402846	−	0.107942i
$177$	11.4599	+	5.30135i	0.861382	+	0.398474i
$178$	−2.12857	−	1.22893i	−0.159543	−	0.0921121i
$179$	3.01593			0.225421			0.112711	−	0.993628i	$-0.464047\pi$
$179$	3.01593			0.225421			0.112711	+	0.993628i	$0.464047\pi$
$180$	−0.451957	+	0.383962i	−0.0336869	+	0.0286188i
$181$	−12.9379			−0.961664			−0.480832	−	0.876813i	$-0.659665\pi$
$181$	−12.9379			−0.961664			−0.480832	+	0.876813i	$0.659665\pi$
$182$	1.66649	−	0.446535i	0.123528	−	0.0330993i
$183$	9.32317	+	7.77472i	0.689189	+	0.574724i
$184$	−12.9772	−	3.47723i	−0.956691	−	0.256345i
$185$	0.561701	+	0.150507i	0.0412971	+	0.0110655i
$186$	6.72148	+	9.53719i	0.492842	+	0.699301i
$187$	1.11408	+	0.643215i	0.0814697	+	0.0470366i
$188$	−2.02253	+	2.02253i	−0.147508	+	0.147508i
$189$	0.533188	−	2.06532i	0.0387837	−	0.150230i
$190$	0.165978			0.0120413
$191$	−3.39938	−	12.6866i	−0.245970	−	0.917973i	−0.972893	−	0.231254i	$-0.925717\pi$
$191$	−3.39938	−	12.6866i	−0.245970	−	0.917973i	0.726923	−	0.686719i	$-0.240950\pi$
$192$	2.92228	−	2.05952i	0.210897	−	0.148633i
$193$	−2.22282	+	8.29568i	−0.160002	+	0.597136i	0.838623	+	0.544712i	$0.183361\pi$
$193$	−2.22282	+	8.29568i	−0.160002	+	0.597136i	−0.998625	+	0.0524234i	$0.983305\pi$
$194$	6.12270	−	3.53494i	0.439584	−	0.253794i
$195$	−0.121271	−	1.33906i	−0.00868438	−	0.0958921i
$196$	8.69513	+	5.02013i	0.621081	+	0.358581i
$197$		−	11.7532i		−	0.837383i	−0.908129	−	0.418691i	$-0.862489\pi$
$197$		−	11.7532i		−	0.837383i	0.908129	−	0.418691i	$-0.137511\pi$
$198$	1.97514	+	10.8152i	0.140367	+	0.768605i
$199$	−7.73520			−0.548334			−0.274167	−	0.961682i	$-0.588402\pi$
$199$	−7.73520			−0.548334			−0.274167	+	0.961682i	$0.588402\pi$
$200$	12.1588	−	3.25794i	0.859758	−	0.230371i
$201$	−11.3884	−	5.26825i	−0.803275	−	0.371593i
$202$	−4.37662	+	2.52684i	−0.307938	+	0.177788i
$203$	2.17899	−	0.372654i	0.152935	−	0.0261552i
$204$	0.610800	−	0.224426i	0.0427645	−	0.0157129i
$205$	−1.21876	+	0.326566i	−0.0851220	+	0.0228084i
$206$	−4.91788	+	4.91788i	−0.342645	+	0.342645i
$207$	−2.86579	−	15.6921i	−0.199186	−	1.09068i
$208$		−	6.34535i		−	0.439971i
$209$	−4.26395	+	7.38538i	−0.294944	+	0.510857i
$210$	0.0446015	−	0.0534846i	0.00307780	−	0.00369079i
$211$	−11.8145	−	3.16567i	−0.813340	−	0.217934i	−0.171908	−	0.985113i	$-0.554993\pi$
$211$	−11.8145	−	3.16567i	−0.813340	−	0.217934i	−0.641433	+	0.767179i	$0.721660\pi$
$212$	−2.58635	−	4.47969i	−0.177631	−	0.307667i
$213$	−11.4678	−	16.2719i	−0.785764	−	1.11493i
$214$	−3.10442	+	0.831827i	−0.212214	+	0.0568625i
$215$	−0.787379	−	0.787379i	−0.0536988	−	0.0536988i
$216$	11.4297	+	6.46017i	0.777693	+	0.439559i
$217$	2.68515	+	2.68515i	0.182280	+	0.182280i
$218$	−13.5878	+	3.64083i	−0.920281	+	0.246588i
$219$	14.1156	+	2.44458i	0.953845	+	0.165189i
$220$	0.257475	−	0.960911i	0.0173590	−	0.0647846i
$221$	−0.381844	+	1.42506i	−0.0256856	+	0.0958601i
$222$	−0.491851	−	5.43097i	−0.0330109	−	0.364503i
$223$	−5.78235	+	10.0153i	−0.387215	+	0.670675i	−0.992074	−	0.125657i	$-0.959896\pi$
$223$	−5.78235	+	10.0153i	−0.387215	+	0.670675i	0.604859	+	0.796333i	$0.293229\pi$
$224$	1.69924	−	1.69924i	0.113535	−	0.113535i
$225$	9.67662	+	11.3903i	0.645108	+	0.759350i
$226$	1.95739			0.130204
$227$	−2.37076	−	1.36876i	−0.157353	−	0.0908477i	0.419256	−	0.907868i	$-0.362291\pi$
$227$	−2.37076	−	1.36876i	−0.157353	−	0.0908477i	−0.576609	+	0.817020i	$0.695624\pi$
$228$	1.48774	+	4.04906i	0.0985283	+	0.268156i
$229$	−2.79126	−	0.747915i	−0.184451	−	0.0494236i	0.165411	−	0.986225i	$-0.447105\pi$
$229$	−2.79126	−	0.747915i	−0.184451	−	0.0494236i	−0.349862	+	0.936801i	$0.613772\pi$
$230$	0.134794	−	0.503058i	0.00888805	−	0.0331707i
$231$	1.23405	+	3.35860i	0.0811944	+	0.220980i
$232$	−1.25569	+	13.5486i	−0.0824402	+	0.889507i
$233$			9.10233i			0.596313i	0.954517	+	0.298157i	$0.0963718\pi$
$233$			9.10233i			0.596313i	−0.954517	+	0.298157i	$0.903628\pi$
$234$	−11.3945	+	5.39822i	−0.744879	+	0.352892i
$235$	−0.185095	−	0.185095i	−0.0120743	−	0.0120743i
$236$	−5.35711	+	9.27879i	−0.348718	+	0.603998i
$237$	−7.09666	−	5.91800i	−0.460978	−	0.384415i
$238$	−0.0661779	+	0.0382078i	−0.00428968	+	0.00247665i
$239$	13.9778	−	8.07011i	0.904151	−	0.522012i	0.0256065	−	0.999672i	$-0.491848\pi$
$239$	13.9778	−	8.07011i	0.904151	−	0.522012i	0.878545	+	0.477660i	$0.158515\pi$
$240$	−0.147550	−	0.209361i	−0.00952433	−	0.0135142i
$241$	−23.3978	−	13.5087i	−1.50718	−	0.870173i	−0.999965	−	0.00835662i	$-0.997340\pi$
$241$	−23.3978	−	13.5087i	−1.50718	−	0.870173i	−0.507220	−	0.861817i	$-0.669327\pi$
$242$	−7.37659	−	7.37659i	−0.474185	−	0.474185i
$243$	−1.12156	+	15.5481i	−0.0719482	+	0.997408i
$244$	−7.28376	+	7.28376i	−0.466295	+	0.466295i
$245$	−0.459426	+	0.795748i	−0.0293516	+	0.0508385i
$246$	6.81620	+	9.67159i	0.434585	+	0.616638i
$247$	−9.44691	−	2.53129i	−0.601092	−	0.161062i
$248$	−20.2418	+	11.6866i	−1.28536	+	0.742101i
$249$	0.610355	+	6.73948i	0.0386797	+	0.427097i
$250$	0.253046	+	0.944379i	0.0160040	+	0.0597278i
$251$	−8.89531	+	8.89531i	−0.561467	+	0.561467i	−0.929724	−	0.368257i	$-0.879955\pi$
$251$	−8.89531	+	8.89531i	−0.561467	+	0.561467i	0.368257	+	0.929724i	$0.379955\pi$
$252$	1.70455	+	0.608651i	0.107376	+	0.0383414i
$253$	18.9213	+	18.9213i	1.18957	+	1.18957i
$254$	3.03854	−	5.26291i	0.190655	−	0.330224i
$255$	0.0205387	+	0.0558983i	0.00128618	+	0.00350049i
$256$	5.77976	+	10.0108i	0.361235	+	0.625677i
$257$	9.16280	−	5.29015i	0.571560	−	0.329990i	−0.186212	−	0.982510i	$-0.559621\pi$
$257$	9.16280	−	5.29015i	0.571560	−	0.329990i	0.757772	+	0.652519i	$0.226288\pi$
$258$	−4.38413	+	9.47720i	−0.272944	+	0.590024i
$259$	−0.459351	−	1.71432i	−0.0285427	−	0.106523i
$260$	1.14089			0.0707549
$261$	−15.1759	+	5.53996i	−0.939367	+	0.342915i
$262$	11.2967			0.697912
$263$	4.37603	+	16.3316i	0.269838	+	1.00705i	0.959222	+	0.282653i	$0.0912144\pi$
$263$	4.37603	+	16.3316i	0.269838	+	1.00705i	−0.689385	+	0.724396i	$0.742119\pi$
$264$	−21.9340	+	1.98643i	−1.34994	+	0.122256i
$265$	0.409966	−	0.236694i	0.0251840	−	0.0145400i
$266$	−0.253284	−	0.438701i	−0.0155298	−	0.0268985i
$267$	5.76025	+	0.997576i	0.352522	+	0.0610506i
$268$	5.32366	−	9.22085i	0.325194	−	0.563253i
$269$	0.214220	+	0.214220i	0.0130612	+	0.0130612i	0.713607	−	0.700546i	$-0.247060\pi$
$269$	0.214220	+	0.214220i	0.0130612	+	0.0130612i	−0.700546	+	0.713607i	$0.747060\pi$
$270$	−0.250427	+	0.443070i	−0.0152405	+	0.0269644i
$271$	−2.82499	+	2.82499i	−0.171606	+	0.171606i	−0.787685	−	0.616079i	$-0.788720\pi$
$271$	−2.82499	+	2.82499i	−0.171606	+	0.171606i	0.616079	+	0.787685i	$0.288720\pi$
$272$	0.0727403	+	0.271470i	0.00441053	+	0.0164603i
$273$	−3.35424	+	2.36395i	−0.203008	+	0.143073i
$274$	14.3153	−	8.26492i	0.864817	−	0.499302i
$275$	−24.2169	−	6.48891i	−1.46034	−	0.391296i
$276$	13.4804	−	1.22084i	0.811424	−	0.0734858i
$277$	−1.86448	+	3.22938i	−0.112026	+	0.194035i	−0.916587	−	0.399835i	$-0.869067\pi$
$277$	−1.86448	+	3.22938i	−0.112026	+	0.194035i	0.804561	+	0.593870i	$0.202401\pi$
$278$	−0.557894	+	0.557894i	−0.0334603	+	0.0334603i
$279$	−22.8295	−	15.7787i	−1.36677	−	0.944644i
$280$	0.0986468	+	0.0986468i	0.00589527	+	0.00589527i
$281$	13.5804	+	7.84065i	0.810139	+	0.467734i	0.847004	−	0.531587i	$-0.178404\pi$
$281$	13.5804	+	7.84065i	0.810139	+	0.467734i	−0.0368655	+	0.999320i	$0.511737\pi$
$282$	−1.03061	+	2.22788i	−0.0613721	+	0.132668i
$283$	23.5836	−	13.6160i	1.40190	−	0.809388i	0.407313	−	0.913289i	$-0.366466\pi$
$283$	23.5836	−	13.6160i	1.40190	−	0.809388i	0.994588	+	0.103901i	$0.0331325\pi$
$284$	14.6286	−	8.44585i	0.868051	−	0.501169i
$285$	−0.370556	+	0.136153i	−0.0219499	+	0.00806503i
$286$	10.5753	−	18.3169i	0.625329	−	1.08310i
$287$	2.72299	+	2.72299i	0.160733	+	0.160733i
$288$	−9.98518	+	14.4472i	−0.588382	+	0.851307i
$289$			16.9347i			0.996156i
$290$	−0.525207	−	0.0486766i	−0.0308412	−	0.00285839i
$291$	−10.7695	+	12.9145i	−0.631322	+	0.757059i
$292$	−3.14617	+	11.7417i	−0.184116	+	0.687130i
$293$	−13.5465	−	3.62979i	−0.791398	−	0.212054i	−0.159594	−	0.987183i	$-0.551019\pi$
$293$	−13.5465	−	3.62979i	−0.791398	−	0.212054i	−0.631804	+	0.775128i	$0.717685\pi$
$294$	8.49020	+	1.47035i	0.495158	+	0.0857528i
$295$	−0.849164	−	0.490265i	−0.0494402	−	0.0285443i
$296$	10.9240			0.634947
$297$	−13.2814	−	22.5254i	−0.770667	−	1.30706i
$298$	−3.41562	+	3.41562i	−0.197862	+	0.197862i
$299$	−15.3440	+	26.5766i	−0.887367	+	1.53696i
$300$	−10.3662	+	7.30574i	−0.598494	+	0.421797i
$301$	−0.879593	+	3.28269i	−0.0506989	+	0.189211i
$302$	−1.92030	+	7.16667i	−0.110501	+	0.412395i
$303$	7.69827	−	9.23149i	0.442254	−	0.530335i
$304$	−1.79961	+	0.482204i	−0.103215	+	0.0276563i
$305$	−0.666585	−	0.666585i	−0.0381685	−	0.0381685i
$306$	0.425602	−	0.361571i	0.0243300	−	0.0206696i
$307$	18.5041	+	18.5041i	1.05608	+	1.05608i	0.998331	+	0.0577515i	$0.0183931\pi$
$307$	18.5041	+	18.5041i	1.05608	+	1.05608i	0.0577515	+	0.998331i	$0.481607\pi$
$308$	−2.93272	+	0.785819i	−0.167107	+	0.0447762i
$309$	6.94528	−	15.0136i	0.395103	−	0.854096i
$310$	−0.453029	−	0.784670i	−0.0257303	−	0.0445662i
$311$	8.81734	+	2.36260i	0.499985	+	0.133971i	0.499993	−	0.866029i	$-0.333336\pi$
$311$	8.81734	+	2.36260i	0.499985	+	0.133971i	−7.83358e−6		1.00000i	$0.500002\pi$
$312$	−8.71105	−	23.7081i	−0.493166	−	1.34221i
$313$	−8.43131	+	14.6035i	−0.476566	+	0.825436i	−0.999639	−	0.0268512i	$-0.991452\pi$
$313$	−8.43131	+	14.6035i	−0.476566	+	0.825436i	0.523074	+	0.852288i	$0.324785\pi$
$314$			12.1714i			0.686872i
$315$	−0.0557016	+	0.155994i	−0.00313843	+	0.00878929i
$316$	5.54429	−	5.54429i	0.311891	−	0.311891i
$317$	3.72869	−	0.999099i	0.209424	−	0.0561150i	−0.152582	−	0.988291i	$-0.548759\pi$
$317$	3.72869	−	0.999099i	0.209424	−	0.0561150i	0.362006	+	0.932176i	$0.382092\pi$
$318$	−3.40933	−	2.84309i	−0.191186	−	0.159433i
$319$	15.6584	−	22.1191i	0.876701	−	1.23843i
$320$	−0.240429	+	0.138812i	−0.0134404	+	0.00775983i
$321$	6.24845	−	4.40368i	0.348754	−	0.245790i
$322$	−1.53534	+	0.411393i	−0.0855612	+	0.0229260i
$323$	0.433181			0.0241028
$324$	−13.0535	−	2.13775i	−0.725192	−	0.118764i
$325$		−	28.7527i		−	1.59491i
$326$	−3.05081	−	1.76138i	−0.168969	−	0.0975540i
$327$	27.3489	−	19.2745i	1.51240	−	1.06588i
$328$	−20.5271	+	11.8513i	−1.13342	+	0.654379i
$329$	−0.206773	+	0.771687i	−0.0113998	+	0.0425445i
$330$	−0.0770036	−	0.850267i	−0.00423891	−	0.0468057i
$331$	−4.04553	−	15.0981i	−0.222362	−	0.829868i	−0.983444	−	0.181212i	$-0.941998\pi$
$331$	−4.04553	−	15.0981i	−0.222362	−	0.829868i	0.761082	−	0.648656i	$-0.224669\pi$
$332$	−5.74209			−0.315138
$333$	5.55315	+	11.7215i	0.304311	+	0.642334i
$334$	12.3062	−	12.3062i	0.673367	−	0.673367i
$335$	0.843861	+	0.487203i	0.0461050	+	0.0266188i
$336$	−0.328204	+	0.709480i	−0.0179050	+	0.0387053i
$337$	2.06339	+	0.552883i	0.112400	+	0.0301175i	0.314581	−	0.949231i	$-0.398136\pi$
$337$	2.06339	+	0.552883i	0.112400	+	0.0301175i	−0.202181	+	0.979348i	$0.564803\pi$
$338$	14.2856	+	3.82782i	0.777036	+	0.208206i
$339$	−4.37000	+	1.60567i	−0.237346	+	0.0872079i
$340$	−0.0488102	+	0.0130787i	−0.00264710	+	0.000709289i
$341$	46.5529			2.52098
$342$	2.39690	+	2.82136i	0.129609	+	0.152562i
$343$	5.67787			0.306576
$344$	−18.1155	−	10.4590i	−0.976724	−	0.563912i
$345$	0.111727	+	1.23368i	0.00601518	+	0.0664190i
$346$	7.18599	+	1.92548i	0.386321	+	0.103514i
$347$	12.4534	+	21.5698i	0.668531	+	1.15793i	0.978315	+	0.207123i	$0.0664100\pi$
$347$	12.4534	+	21.5698i	0.668531	+	1.15793i	−0.309784	+	0.950807i	$0.600257\pi$
$348$	−3.52022	−	13.2488i	−0.188703	−	0.710211i
$349$	−2.14109	+	3.70847i	−0.114610	+	0.198510i	−0.917624	−	0.397450i	$-0.869895\pi$
$349$	−2.14109	+	3.70847i	−0.114610	+	0.198510i	0.803014	+	0.595960i	$0.203228\pi$
$350$	1.05307	−	1.05307i	0.0562888	−	0.0562888i
$351$	21.0106	−	21.3988i	1.12146	−	1.14218i
$352$		−	29.4600i		−	1.57022i
$353$	3.88756	−	6.73345i	0.206914	−	0.358385i	−0.743827	−	0.668372i	$-0.766991\pi$
$353$	3.88756	−	6.73345i	0.206914	−	0.358385i	0.950741	+	0.309987i	$0.100325\pi$
$354$	−1.56905	+	9.06011i	−0.0833942	+	0.481539i
$355$	0.772936	+	1.33876i	0.0410232	+	0.0710542i
$356$	−1.28388	+	4.79150i	−0.0680455	+	0.253949i
$357$	0.116404	−	0.139587i	0.00616075	−	0.00738775i
$358$	0.568430	+	2.12141i	0.0300424	+	0.112120i
$359$	2.53087	−	2.53087i	0.133574	−	0.133574i	−0.637159	−	0.770733i	$-0.719890\pi$
$359$	2.53087	−	2.53087i	0.133574	−	0.133574i	0.770733	+	0.637159i	$0.219890\pi$
$360$	−0.838708	−	0.579675i	−0.0442038	−	0.0305515i
$361$		−	16.1284i		−	0.848863i
$362$	−2.43847	−	9.10050i	−0.128163	−	0.478312i
$363$	22.5198	+	10.4176i	1.18198	+	0.546782i
$364$	−1.74100	−	3.01551i	−0.0912535	−	0.158056i
$365$	−1.07456	−	0.287927i	−0.0562450	−	0.0150708i
$366$	−3.71155	+	8.02327i	−0.194006	+	0.419383i
$367$	−25.4924	+	6.83067i	−1.33069	+	0.356558i	−0.852973	−	0.521954i	$-0.825203\pi$
$367$	−25.4924	+	6.83067i	−1.33069	+	0.356558i	−0.477719	+	0.878512i	$0.658536\pi$
$368$			5.84598i			0.304743i
$369$	−23.1512	−	16.0010i	−1.20521	−	0.832980i
$370$			0.423468i			0.0220150i
$371$	−1.25122	−	0.722394i	−0.0649603	−	0.0375048i
$372$	15.0814	−	18.0851i	0.781934	−	0.937668i
$373$	−15.9870	−	27.6902i	−0.827774	−	1.43375i	−0.899781	−	0.436343i	$-0.856274\pi$
$373$	−15.9870	−	27.6902i	−0.827774	−	1.43375i	0.0720066	−	0.997404i	$-0.477060\pi$
$374$	−0.242461	+	0.904876i	−0.0125373	+	0.0467900i
$375$	−1.33962	−	1.90081i	−0.0691777	−	0.0981572i
$376$	−4.25856	−	2.45868i	−0.219618	−	0.126797i
$377$	29.1506	+	10.7803i	1.50133	+	0.555213i
$378$	1.55324	−	0.0142182i	0.0798902	−	0.000731305i
$379$	0.304616	+	0.304616i	0.0156471	+	0.0156471i	0.714887	−	0.699240i	$-0.246478\pi$
$379$	0.304616	+	0.304616i	0.0156471	+	0.0156471i	−0.699240	+	0.714887i	$0.746478\pi$
$380$	−0.0866999	−	0.323569i	−0.00444761	−	0.0165987i
$381$	−2.46652	+	14.2423i	−0.126364	+	0.729655i
$382$	8.28309	−	4.78225i	0.423800	−	0.244681i
$383$	1.19087	+	2.06264i	0.0608505	+	0.105396i	0.894846	−	0.446375i	$-0.147285\pi$
$383$	1.19087	+	2.06264i	0.0608505	+	0.105396i	−0.833995	+	0.551771i	$0.813952\pi$
$384$	−13.5748	−	11.3202i	−0.692734	−	0.577680i
$385$	−0.0719155	−	0.268392i	−0.00366515	−	0.0136785i
$386$	−6.25413			−0.318327
$387$	2.01362	−	24.7547i	0.102358	−	1.25835i
$388$	−10.0895	−	10.0895i	−0.512215	−	0.512215i
$389$	−13.3543	+	3.57827i	−0.677089	+	0.181425i	−0.580946	−	0.813942i	$-0.697317\pi$
$389$	−13.3543	+	3.57827i	−0.677089	+	0.181425i	−0.0961428	+	0.995368i	$0.530651\pi$
$390$	0.919039	−	0.337682i	0.0465374	−	0.0170992i
$391$	0.351794	−	1.31291i	0.0177910	−	0.0663969i
$392$	−4.46748	+	16.6729i	−0.225642	+	0.842107i
$393$	−25.2205	+	9.26676i	−1.27221	+	0.467446i
$394$	8.26723	−	2.21520i	0.416497	−	0.111600i
$395$	0.507394	+	0.507394i	0.0255298	+	0.0255298i
$396$	20.0521	−	9.49987i	1.00766	−	0.477387i
$397$	−15.8419			−0.795080			−0.397540	−	0.917585i	$-0.630136\pi$
$397$	−15.8419			−0.795080			−0.397540	+	0.917585i	$0.630136\pi$
$398$	−1.45790	−	5.44094i	−0.0730778	−	0.272730i
$399$	0.925342	+	0.771655i	0.0463250	+	0.0386311i
$400$	−2.73866	−	4.74349i	−0.136933	−	0.237175i
$401$	−18.4767	+	10.6675i	−0.922680	+	0.532710i	−0.884489	−	0.466561i	$-0.845493\pi$
$401$	−18.4767	+	10.6675i	−0.922680	+	0.532710i	−0.0381910	+	0.999270i	$0.512160\pi$
$402$	1.55925	−	9.00353i	0.0777686	−	0.449055i
$403$	13.8181	+	51.5697i	0.688326	+	2.56887i
$404$	7.21214	+	7.21214i	0.358817	+	0.358817i
$405$	0.195640	−	1.19461i	0.00972142	−	0.0593605i
$406$	0.672812	+	1.46247i	0.0333911	+	0.0725810i
$407$	−18.8426	−	10.8788i	−0.933995	−	0.539242i
$408$	0.644461	+	0.914434i	0.0319056	+	0.0452712i
$409$	−3.07868	+	11.4898i	−0.152231	+	0.568134i	0.847095	+	0.531441i	$0.178349\pi$
$409$	−3.07868	+	11.4898i	−0.152231	+	0.568134i	−0.999327	+	0.0366935i	$0.988317\pi$
$410$	−0.459413	−	0.795727i	−0.0226888	−	0.0392982i
$411$	−25.1799	+	30.1949i	−1.24203	+	1.48940i
$412$	12.1561	+	7.01833i	0.598889	+	0.345769i
$413$			2.99259i			0.147256i
$414$	10.4977	−	4.97339i	0.515935	−	0.244429i
$415$		−	0.525496i		−	0.0257956i
$416$	32.6347	−	8.74445i	1.60005	−	0.428732i
$417$	0.787887	−	1.70318i	0.0385830	−	0.0834050i
$418$	−5.99853	−	1.60730i	−0.293398	−	0.0786157i
$419$	4.35775	+	7.54784i	0.212890	+	0.368736i	0.952618	−	0.304170i	$-0.0983791\pi$
$419$	4.35775	+	7.54784i	0.212890	+	0.368736i	−0.739728	+	0.672906i	$0.765046\pi$
$420$	−0.127564	−	0.0590109i	−0.00622449	−	0.00287944i
$421$	−8.64790	−	32.2744i	−0.421473	−	1.57296i	−0.771507	−	0.636221i	$-0.780497\pi$
$421$	−8.64790	−	32.2744i	−0.421473	−	1.57296i	0.350034	−	0.936737i	$-0.386170\pi$
$422$		−	8.90694i		−	0.433583i
$423$	0.473357	−	5.81929i	0.0230154	−	0.282943i
$424$	6.28817	−	6.28817i	0.305380	−	0.305380i
$425$	0.329609	+	1.23012i	0.0159884	+	0.0596694i
$426$	9.28424	−	11.1333i	0.449823	−	0.539412i
$427$	−0.744652	+	2.77908i	−0.0360362	+	0.134489i
$428$	3.24323	+	5.61744i	0.156768	+	0.271529i
$429$	−8.58442	+	49.5686i	−0.414460	+	2.39319i
$430$	0.405441	−	0.702245i	0.0195521	−	0.0338653i
$431$		−	29.7389i		−	1.43247i	−0.697858	−	0.716236i	$-0.745863\pi$
$431$		−	29.7389i		−	1.43247i	0.697858	−	0.716236i	$-0.254137\pi$
$432$	1.42803	−	5.53151i	0.0687059	−	0.266135i
$433$	27.7702	−	27.7702i	1.33455	−	1.33455i	0.433298	−	0.901251i	$-0.357350\pi$
$433$	27.7702	−	27.7702i	1.33455	−	1.33455i	0.901251	−	0.433298i	$-0.142650\pi$
$434$	−1.38265	+	2.39482i	−0.0663694	+	0.114955i
$435$	1.21249	−	0.322158i	0.0581342	−	0.0154463i
$436$	14.1953	+	24.5871i	0.679834	+	1.17751i
$437$	8.70345	+	2.33208i	0.416343	+	0.111559i
$438$	0.940931	+	10.3897i	0.0449594	+	0.496438i
$439$	0.589212	+	0.340182i	0.0281215	+	0.0162360i	0.513995	−	0.857793i	$-0.328165\pi$
$439$	0.589212	+	0.340182i	0.0281215	+	0.0162360i	−0.485873	+	0.874029i	$0.661498\pi$
$440$	1.71026			0.0815332
$441$	−20.1610	+	3.68192i	−0.960048	+	0.175330i
$442$	−1.07436			−0.0511020
$443$	31.6382	−	8.47742i	1.50317	−	0.402774i	0.589012	−	0.808124i	$-0.299517\pi$
$443$	31.6382	−	8.47742i	1.50317	−	0.402774i	0.914162	+	0.405350i	$0.132850\pi$
$444$	−10.3306	+	3.79575i	−0.490266	+	0.180138i
$445$	−0.438502	−	0.117496i	−0.0207870	−	0.00556986i
$446$	−8.13461	−	2.17966i	−0.385185	−	0.103210i
$447$	4.82372	−	10.4274i	0.228154	−	0.493201i
$448$	0.733794	+	0.423656i	0.0346685	+	0.0200159i
$449$	−20.8477	+	20.8477i	−0.983863	+	0.983863i	−0.999872	−	0.0160087i	$-0.994904\pi$
$449$	−20.8477	+	20.8477i	−0.983863	+	0.983863i	0.0160087	+	0.999872i	$0.494904\pi$
$450$	−6.18810	+	8.95332i	−0.291710	+	0.422064i
$451$	47.2090			2.22298
$452$	−1.02246	−	3.81587i	−0.0480924	−	0.179483i
$453$	−1.59169	−	17.5753i	−0.0747839	−	0.825757i
$454$	0.515955	−	1.92557i	0.0242150	−	0.0903715i
$455$	0.275969	−	0.159331i	0.0129376	−	0.00746954i
$456$	−6.06189	+	4.27221i	−0.283874	+	0.200064i
$457$	4.77156	+	2.75486i	0.223204	+	0.128867i	0.607433	−	0.794371i	$-0.292199\pi$
$457$	4.77156	+	2.75486i	0.223204	+	0.128867i	−0.384229	+	0.923238i	$0.625533\pi$
$458$		−	2.10434i		−	0.0983291i
$459$	−0.653581	+	1.15635i	−0.0305066	+	0.0539739i
$460$	−1.05110			−0.0490079
$461$	21.0923	−	5.65166i	0.982365	−	0.263224i	0.268325	−	0.963329i	$-0.413530\pi$
$461$	21.0923	−	5.65166i	0.982365	−	0.263224i	0.714040	+	0.700105i	$0.246863\pi$
$462$	−2.12985	+	1.50104i	−0.0990897	+	0.0698349i
$463$	25.3071	−	14.6111i	1.17612	−	0.679034i	0.221008	−	0.975272i	$-0.429065\pi$
$463$	25.3071	−	14.6111i	1.17612	−	0.679034i	0.955114	+	0.296238i	$0.0957321\pi$
$464$	5.83594	−	0.998070i	0.270927	−	0.0463343i
$465$	1.65509	+	1.38020i	0.0767527	+	0.0640051i
$466$	−6.40258	+	1.71557i	−0.296594	+	0.0794721i
$467$	−25.2033	+	25.2033i	−1.16627	+	1.16627i	−0.183195	+	0.983077i	$0.558644\pi$
$467$	−25.2033	+	25.2033i	−1.16627	+	1.16627i	−0.983077	+	0.183195i	$0.941356\pi$
$468$	16.4756	+	19.3933i	0.761585	+	0.896454i
$469$		−	2.97390i		−	0.137322i
$470$	0.0953102	−	0.165082i	0.00439633	−	0.00761467i
$471$	−9.98430	−	27.1734i	−0.460052	−	1.25208i
$472$	−17.7921	−	4.76737i	−0.818945	−	0.219436i
$473$	20.8314	+	36.0811i	0.957829	+	1.65901i
$474$	2.82518	−	6.10719i	0.129765	−	0.280513i
$475$	−8.15459	+	2.18502i	−0.374158	+	0.100255i
$476$	0.109053	+	0.109053i	0.00499845	+	0.00499845i
$477$	9.94375	+	3.55066i	0.455293	+	0.162574i
$478$	8.31100	+	8.31100i	0.380136	+	0.380136i
$479$	−19.9510	+	5.34585i	−0.911584	+	0.244258i	−0.683984	−	0.729497i	$-0.739754\pi$
$479$	−19.9510	+	5.34585i	−0.911584	+	0.244258i	−0.227599	+	0.973755i	$0.573088\pi$
$480$	0.873427	−	1.04738i	0.0398663	−	0.0478063i
$481$	6.45820	−	24.1023i	0.294468	−	1.09897i
$482$	5.09213	−	19.0041i	0.231940	−	0.865613i
$483$	3.09027	−	2.17791i	0.140612	−	0.0990984i
$484$	−10.5272	+	18.2336i	−0.478508	+	0.828800i
$485$	0.923354	−	0.923354i	0.0419273	−	0.0419273i
$486$	−11.1479	+	2.14152i	−0.505679	+	0.0971414i
$487$	−10.1136			−0.458290			−0.229145	−	0.973392i	$-0.573593\pi$
$487$	−10.1136			−0.458290			−0.229145	+	0.973392i	$0.573593\pi$
$488$	−15.3364	−	8.85446i	−0.694245	−	0.400822i
$489$	8.25598	+	1.42979i	0.373348	+	0.0646575i
$490$	−0.646320	−	0.173181i	−0.0291978	−	0.00782352i
$491$	0.597473	−	2.22980i	0.0269636	−	0.100629i	−0.951133	−	0.308782i	$-0.900079\pi$
$491$	0.597473	−	2.22980i	0.0269636	−	0.100629i	0.978096	+	0.208153i	$0.0667452\pi$
$492$	15.2939	−	18.3399i	0.689503	−	0.826828i
$493$	−1.37072	−	0.127039i	−0.0617341	−	0.00572156i
$494$		−	7.12205i		−	0.320436i
$495$	0.869396	+	1.83510i	0.0390764	+	0.0824818i
$496$	7.19158	+	7.19158i	0.322912	+	0.322912i
$497$	2.35901	−	4.08593i	0.105816	−	0.183279i
$498$	−4.62552	+	1.69955i	−0.207274	+	0.0761587i
$499$	−12.9444	+	7.47347i	−0.579472	+	0.334558i	−0.760924	−	0.648841i	$-0.775254\pi$
$499$	−12.9444	+	7.47347i	−0.579472	+	0.334558i	0.181451	+	0.983400i	$0.441921\pi$
$500$	1.70885	−	0.986606i	0.0764221	−	0.0441223i
$501$	−17.3795	+	37.5693i	−0.776458	+	1.67847i
$502$	−7.93352	−	4.58042i	−0.354090	−	0.204434i
$503$	−1.34444	−	1.34444i	−0.0599456	−	0.0599456i	0.676498	−	0.736444i	$-0.263497\pi$
$503$	−1.34444	−	1.34444i	−0.0599456	−	0.0599456i	−0.736444	+	0.676498i	$0.763497\pi$
$504$	−0.252276	+	3.10140i	−0.0112373	+	0.138147i
$505$	−0.660030	+	0.660030i	−0.0293710	+	0.0293710i
$506$	−9.74303	+	16.8754i	−0.433130	+	0.750204i
$507$	−35.0335	+	3.17278i	−1.55589	+	0.140908i
$508$	−11.8471	−	3.17441i	−0.525628	−	0.140842i
$509$	−20.7248	+	11.9655i	−0.918612	+	0.530361i	−0.883192	−	0.469011i	$-0.844610\pi$
$509$	−20.7248	+	11.9655i	−0.918612	+	0.530361i	−0.0354203	+	0.999373i	$0.511277\pi$
$510$	−0.0354478	+	0.0249824i	−0.00156966	+	0.00110624i
$511$	0.878758	+	3.27957i	0.0388740	+	0.145080i
$512$	8.47964	−	8.47964i	0.374751	−	0.374751i
$513$	−7.66560	−	4.33267i	−0.338444	−	0.191292i
$514$	5.44806	+	5.44806i	0.240303	+	0.240303i
$515$	−0.642294	+	1.11249i	−0.0283029	+	0.0490220i
$516$	20.7655	+	3.59623i	0.914151	+	0.158315i
$517$	4.89700	+	8.48186i	0.215370	+	0.373032i
$518$	1.11928	−	0.646215i	0.0491782	−	0.0283931i
$519$	−17.6226	+	1.59598i	−0.773548	+	0.0700556i
$520$	0.507646	+	1.89456i	0.0222617	+	0.0830820i
$521$	−12.2048			−0.534701			−0.267351	−	0.963599i	$-0.586148\pi$
$521$	−12.2048			−0.534701			−0.267351	+	0.963599i	$0.586148\pi$
$522$	−6.75710	−	9.63061i	−0.295750	−	0.421520i
$523$	26.7985			1.17182			0.585909	−	0.810377i	$-0.300737\pi$
$523$	26.7985			1.17182			0.585909	+	0.810377i	$0.300737\pi$
$524$	−5.90090	−	22.0225i	−0.257782	−	0.962056i
$525$	−1.48720	+	3.21488i	−0.0649066	+	0.140309i
$526$	−10.6629	+	6.15621i	−0.464923	+	0.268423i
$527$	−1.18234	−	2.04788i	−0.0515038	−	0.0892071i
$528$	3.30512	+	8.99525i	0.143837	+	0.391468i
$529$	2.63646	−	4.56648i	0.114629	−	0.198543i
$530$	0.243759	+	0.243759i	0.0105882	+	0.0105882i
$531$	−3.92908	−	21.5143i	−0.170507	−	0.933642i
$532$	−0.722927	+	0.722927i	−0.0313428	+	0.0313428i
$533$	14.0128	+	52.2964i	0.606961	+	2.26521i
$534$	0.383972	+	4.23978i	0.0166161	+	0.183473i
$535$	−0.514089	+	0.296810i	−0.0222260	+	0.0128322i
$536$	17.6809	+	4.73760i	0.763701	+	0.204633i
$537$	−3.00926	−	4.26988i	−0.129859	−	0.184259i
$538$	−0.110307	+	0.191057i	−0.00475567	+	0.00823707i
$539$	24.3097	−	24.3097i	1.04709	−	1.04709i
$540$	0.994561	+	0.256758i	0.0427991	+	0.0110491i
$541$	−12.8590	−	12.8590i	−0.552850	−	0.552850i	0.374413	−	0.927262i	$-0.377844\pi$
$541$	−12.8590	−	12.8590i	−0.552850	−	0.552850i	−0.927262	+	0.374413i	$0.877844\pi$
$542$	−2.51954	−	1.45466i	−0.108223	−	0.0624828i
$543$	12.9092	+	18.3171i	0.553989	+	0.786062i
$544$	−1.29596	+	0.748221i	−0.0555637	+	0.0320797i
$545$	−2.25012	+	1.29911i	−0.0963847	+	0.0556477i
$546$	−2.29500	−	1.91383i	−0.0982168	−	0.0819043i
$547$	−7.14970	+	12.3837i	−0.305699	+	0.529487i	−0.977417	−	0.211321i	$-0.932224\pi$
$547$	−7.14970	+	12.3837i	−0.305699	+	0.529487i	0.671717	+	0.740807i	$0.265557\pi$
$548$	−23.5898	−	23.5898i	−1.00771	−	1.00771i
$549$	1.70470	−	20.9570i	0.0727549	−	0.894424i
$550$		−	18.2572i		−	0.778490i
$551$	0.842159	−	9.08666i	0.0358772	−	0.387105i
$552$	8.02551	+	21.8423i	0.341588	+	0.929671i
$553$	0.566818	−	2.11539i	0.0241036	−	0.0899557i
$554$	−2.62296	−	0.702819i	−0.111439	−	0.0298599i
$555$	−0.347374	−	0.945417i	−0.0147452	−	0.0401307i
$556$	1.37901	+	0.796174i	0.0584832	+	0.0337653i
$557$	7.99891			0.338925			0.169462	−	0.985537i	$-0.445797\pi$
$557$	7.99891			0.338925			0.169462	+	0.985537i	$0.445797\pi$
$558$	6.79591	−	19.0322i	0.287694	−	0.805697i
$559$	−33.7861	+	33.7861i	−1.42900	+	1.42900i
$560$	0.0303521	−	0.0525713i	0.00128261	−	0.00222154i
$561$	−0.200969	−	2.21908i	−0.00848492	−	0.0936897i
$562$	−2.95554	+	11.0302i	−0.124672	+	0.465282i
$563$	0.0262256	−	0.0978752i	0.00110528	−	0.00412495i	−0.965371	−	0.260881i	$-0.915987\pi$
$563$	0.0262256	−	0.0978752i	0.00110528	−	0.00412495i	0.966476	+	0.256756i	$0.0826537\pi$
$564$	4.88151	+	0.845393i	0.205549	+	0.0355975i
$565$	0.349215	−	0.0935720i	0.0146916	−	0.00393660i
$566$	14.0224	+	14.0224i	0.589407	+	0.589407i
$567$	−3.45604	+	1.30588i	−0.145140	+	0.0548418i
$568$	20.5343	+	20.5343i	0.861600	+	0.861600i
$569$	21.8790	−	5.86245i	0.917214	−	0.245767i	0.230820	−	0.972997i	$-0.425859\pi$
$569$	21.8790	−	5.86245i	0.917214	−	0.245767i	0.686394	+	0.727230i	$0.259193\pi$
$570$	−0.165611	−	0.234988i	−0.00693669	−	0.00984256i
$571$	−14.1185	−	24.4539i	−0.590840	−	1.02337i	−0.994120	−	0.108288i	$-0.965463\pi$
$571$	−14.1185	−	24.4539i	−0.590840	−	1.02337i	0.403279	−	0.915077i	$-0.367870\pi$
$572$	−41.2322	−	11.0481i	−1.72401	−	0.461946i
$573$	−14.5696	+	17.4713i	−0.608653	+	0.729875i
$574$	−1.40214	+	2.42857i	−0.0585241	+	0.101367i
$575$			26.4900i			1.10471i
$576$	−5.83163	−	2.08233i	−0.242984	−	0.0867636i
$577$	−12.9655	+	12.9655i	−0.539762	+	0.539762i	−0.923459	−	0.383697i	$-0.874651\pi$
$577$	−12.9655	+	12.9655i	−0.539762	+	0.539762i	0.383697	+	0.923459i	$0.374651\pi$
$578$	−11.9118	+	3.19177i	−0.495467	+	0.132760i
$579$	13.9627	−	5.13031i	0.580271	−	0.213209i
$580$	0.179452	+	1.04930i	0.00745135	+	0.0435697i
$581$	−1.38895	+	0.801911i	−0.0576234	+	0.0332689i
$582$	−11.1138	−	5.14124i	−0.460683	−	0.213111i
$583$	−17.1085	+	4.58420i	−0.708560	+	0.189858i
$584$	−20.8981			−0.864771
$585$	−1.77481	+	1.50779i	−0.0733792	+	0.0623395i
$586$		−	10.2128i		−	0.421886i
$587$	4.94466	+	2.85480i	0.204088	+	0.117830i	0.598561	−	0.801077i	$-0.295739\pi$
$587$	4.94466	+	2.85480i	0.204088	+	0.117830i	−0.394473	+	0.918908i	$0.629073\pi$
$588$	−1.56851	−	17.3194i	−0.0646844	−	0.714239i
$589$	13.5756	−	7.83790i	0.559375	−	0.322955i
$590$	0.184806	−	0.689705i	0.00760834	−	0.0283947i
$591$	−16.6399	+	11.7272i	−0.684475	+	0.482394i
$592$	−1.23027	−	4.59142i	−0.0505637	−	0.188706i
$593$	−39.2364			−1.61125			−0.805624	−	0.592427i	$-0.798170\pi$
$593$	−39.2364			−1.61125			−0.805624	+	0.592427i	$0.798170\pi$
$594$	13.3412	−	13.5877i	0.547394	−	0.557508i
$595$	−0.00998018	+	0.00998018i	−0.000409147	+	0.000409147i
$596$	8.44280	+	4.87446i	0.345831	+	0.199665i
$597$	7.71809	+	10.9513i	0.315880	+	0.448207i
$598$	−21.5860	−	5.78394i	−0.882716	−	0.236523i
$599$	−21.8571	−	5.85659i	−0.893056	−	0.239294i	−0.217024	−	0.976166i	$-0.569635\pi$
$599$	−21.8571	−	5.85659i	−0.893056	−	0.239294i	−0.676032	+	0.736872i	$0.736302\pi$
$600$	−16.7444	−	13.9634i	−0.683588	−	0.570053i
$601$	39.3859	−	10.5534i	1.60659	−	0.430483i	0.659563	−	0.751649i	$-0.270741\pi$
$601$	39.3859	−	10.5534i	1.60659	−	0.430483i	0.947023	+	0.321166i	$0.104075\pi$
$602$	−2.47483			−0.100866
$603$	3.90454	+	21.3800i	0.159005	+	0.870660i
$604$	14.9742			0.609293
$605$	−1.66868	−	0.963411i	−0.0678414	−	0.0391682i
$606$	7.94437	+	3.67505i	0.322718	+	0.149289i
$607$	−8.04409	−	2.15541i	−0.326500	−	0.0874853i	0.0918460	−	0.995773i	$-0.470723\pi$
$607$	−8.04409	−	2.15541i	−0.326500	−	0.0874853i	−0.418346	+	0.908288i	$0.637390\pi$
$608$	−4.96004	−	8.59104i	−0.201156	−	0.348413i
$609$	−2.70177	−	2.71313i	−0.109481	−	0.109942i
$610$	0.343241	−	0.594511i	0.0138974	−	0.0240711i
$611$	−7.94235	+	7.94235i	−0.321313	+	0.321313i
$612$	−0.927185	−	0.640825i	−0.0374792	−	0.0259038i
$613$		−	33.2305i		−	1.34217i	−0.741382	−	0.671083i	$-0.765829\pi$
$613$		−	33.2305i		−	1.34217i	0.741382	−	0.671083i	$-0.234171\pi$
$614$	−9.52820	+	16.5033i	−0.384527	+	0.666020i
$615$	1.67841	+	1.39965i	0.0676800	+	0.0564392i
$616$	−2.60986	−	4.52041i	−0.105154	−	0.182133i
$617$	6.91572	−	25.8098i	0.278416	−	1.03906i	−0.675101	−	0.737725i	$-0.735900\pi$
$617$	6.91572	−	25.8098i	0.278416	−	1.03906i	0.953517	−	0.301338i	$-0.0974333\pi$
$618$	11.8696	+	2.05561i	0.477466	+	0.0826888i
$619$	6.49763	+	24.2495i	0.261162	+	0.974669i	0.964558	+	0.263871i	$0.0849993\pi$
$619$	6.49763	+	24.2495i	0.261162	+	0.974669i	−0.703396	+	0.710798i	$0.748334\pi$
$620$	−1.29304	+	1.29304i	−0.0519298	+	0.0519298i
$621$	−19.3571	+	19.7148i	−0.776774	+	0.791126i
$622$			6.64741i			0.266537i
$623$	0.358600	+	1.33831i	0.0143670	+	0.0536185i
$624$	−8.98358	+	6.33131i	−0.359631	+	0.253455i
$625$	−12.3645	−	21.4159i	−0.494579	−	0.856636i
$626$	−11.8612	−	3.17819i	−0.474068	−	0.127026i
$627$	14.7106	−	1.33225i	0.587483	−	0.0532048i
$628$	23.7277	−	6.35782i	0.946839	−	0.253705i
$629$			1.10519i			0.0440670i
$630$	−0.120225	−	0.00977943i	−0.00478988	−	0.000389622i
$631$			32.1121i			1.27836i	0.769056	+	0.639182i	$0.220727\pi$
$631$			32.1121i			1.27836i	−0.769056	+	0.639182i	$0.779273\pi$
$632$	11.6738	+	6.73988i	0.464360	+	0.268098i
$633$	7.30644	+	19.8853i	0.290405	+	0.790369i
$634$	1.40553	+	2.43446i	0.0558209	+	0.0966846i
$635$	0.290511	−	1.08420i	0.0115286	−	0.0430252i
$636$	−3.76161	+	8.13148i	−0.149157	+	0.322434i
$637$	34.1452	+	19.7137i	1.35288	+	0.781086i
$638$	18.5098	+	6.84519i	0.732812	+	0.271004i
$639$	−11.5948	+	32.4718i	−0.458685	+	1.28456i
$640$	0.970564	+	0.970564i	0.0383649	+	0.0383649i
$641$	7.03873	+	26.2689i	0.278013	+	1.03756i	0.953795	+	0.300458i	$0.0971394\pi$
$641$	7.03873	+	26.2689i	0.278013	+	1.03756i	−0.675782	+	0.737102i	$0.736194\pi$
$642$	4.27523	+	3.56517i	0.168730	+	0.140706i
$643$	−17.8360	+	10.2976i	−0.703382	+	0.406098i	−0.808606	−	0.588351i	$-0.799777\pi$
$643$	−17.8360	+	10.2976i	−0.703382	+	0.406098i	0.105224	+	0.994449i	$0.466444\pi$
$644$	1.60399	+	2.77819i	0.0632061	+	0.109476i
$645$	−0.329114	+	1.90039i	−0.0129589	+	0.0748278i
$646$	0.0816440	+	0.304700i	0.00321224	+	0.0119882i
$647$	−38.4494			−1.51160			−0.755802	−	0.654801i	$-0.772753\pi$
$647$	−38.4494			−1.51160			−0.755802	+	0.654801i	$0.772753\pi$
$648$	−2.25827	−	22.6278i	−0.0887131	−	0.888903i
$649$	25.9415	+	25.9415i	1.01829	+	1.01829i
$650$	20.2247	−	5.41919i	0.793277	−	0.212558i
$651$	1.12236	−	6.48079i	0.0439887	−	0.254002i
$652$	−1.84014	+	6.86751i	−0.0720655	+	0.268952i
$653$	13.1112	−	48.9315i	0.513079	−	1.91484i	0.128630	−	0.991693i	$-0.458942\pi$
$653$	13.1112	−	48.9315i	0.513079	−	1.91484i	0.384449	−	0.923146i	$-0.374391\pi$
$654$	18.7123	+	15.6045i	0.731710	+	0.610183i
$655$	2.01542	−	0.540031i	0.0787490	−	0.0211007i
$656$	7.29293	+	7.29293i	0.284741	+	0.284741i
$657$	−10.6234	−	22.4237i	−0.414459	−	0.874833i
$658$	−0.581777			−0.0226800
$659$	−5.84496	−	21.8137i	−0.227687	−	0.849740i	−0.981310	−	0.192433i	$-0.938362\pi$
$659$	−5.84496	−	21.8137i	−0.227687	−	0.849740i	0.753623	−	0.657307i	$-0.228305\pi$
$660$	−1.61734	+	0.594259i	−0.0629549	+	0.0231315i
$661$	3.42579	+	5.93364i	0.133248	+	0.230792i	0.924927	−	0.380145i	$-0.124126\pi$
$661$	3.42579	+	5.93364i	0.133248	+	0.230792i	−0.791679	+	0.610937i	$0.790793\pi$
$662$	9.85754	−	5.69125i	0.383124	−	0.221197i
$663$	2.39857	−	0.881304i	0.0931526	−	0.0342270i
$664$	−2.55498	−	9.53531i	−0.0991524	−	0.370042i
$665$	−0.0661598	−	0.0661598i	−0.00256557	−	0.00256557i
$666$	−7.19827	+	6.11531i	−0.278927	+	0.236963i
$667$	−26.8565	−	9.93191i	−1.03989	−	0.384565i
$668$	−30.4188	−	17.5623i	−1.17694	−	0.679505i
$669$	19.9490	−	1.80666i	0.771273	−	0.0698496i
$670$	−0.183652	+	0.685398i	−0.00709509	+	0.0264792i
$671$	17.6356	+	30.5458i	0.680815	+	1.17921i
$672$	−4.10122	−	0.710260i	−0.158208	−	0.0273989i
$673$	−10.2026	−	5.89045i	−0.393279	−	0.227060i	0.290301	−	0.956935i	$-0.406245\pi$
$673$	−10.2026	−	5.89045i	−0.393279	−	0.227060i	−0.683580	+	0.729875i	$0.739578\pi$
$674$			1.55559i			0.0599192i
$675$	6.47083	−	25.0650i	0.249062	−	0.964751i
$676$		−	29.8488i		−	1.14803i
$677$	0.847704	−	0.227141i	0.0325799	−	0.00872976i	−0.242492	−	0.970153i	$-0.577965\pi$
$677$	0.847704	−	0.227141i	0.0325799	−	0.00872976i	0.275072	+	0.961424i	$0.411298\pi$
$678$	−1.95307	−	2.77123i	−0.0750070	−	0.106428i
$679$	−3.84958	−	1.03149i	−0.147733	−	0.0395851i
$680$	−0.0434368	−	0.0752348i	−0.00166573	−	0.00288512i
$681$	0.427661	+	4.72219i	0.0163880	+	0.180955i
$682$	8.77409	+	32.7454i	0.335977	+	1.25388i
$683$		−	11.0540i		−	0.422969i	−0.977381	−	0.211484i	$-0.932170\pi$
$683$		−	11.0540i		−	0.422969i	0.977381	−	0.211484i	$-0.0678298\pi$
$684$	4.24811	−	6.14642i	0.162430	−	0.235014i
$685$	2.15886	−	2.15886i	0.0824858	−	0.0824858i
$686$	1.07014	+	3.99382i	0.0408581	+	0.152485i
$687$	1.72620	+	4.69805i	0.0658588	+	0.179242i
$688$	−2.35579	+	8.79194i	−0.0898138	+	0.335190i
$689$	−10.1564	−	17.5914i	−0.386929	−	0.670181i
$690$	−0.846713	+	0.311107i	−0.0322338	+	0.0118436i
$691$	−17.8477	+	30.9131i	−0.678959	+	1.17599i	0.296336	+	0.955084i	$0.404235\pi$
$691$	−17.8477	+	30.9131i	−0.678959	+	1.17599i	−0.975295	+	0.220907i	$0.929098\pi$
$692$		−	15.0146i		−	0.570770i
$693$	3.52370	−	5.09830i	0.133854	−	0.193669i
$694$	−12.8251	+	12.8251i	−0.486834	+	0.486834i
$695$	−0.0728632	+	0.126203i	−0.00276386	+	0.00478714i
$696$	20.4346	−	11.7408i	0.774573	−	0.445034i
$697$	−1.19901	−	2.07674i	−0.0454156	−	0.0786622i
$698$	−3.01209	−	0.807086i	−0.114009	−	0.0305487i
$699$	12.8869	−	9.08220i	0.487425	−	0.343520i
$700$	−2.60299	−	1.50284i	−0.0983839	−	0.0568020i
$701$	42.5329			1.60645			0.803223	−	0.595679i	$-0.203117\pi$
$701$	42.5329			1.60645			0.803223	+	0.595679i	$0.203117\pi$
$702$	19.0119	+	10.7457i	0.717558	+	0.405571i
$703$	−7.32646			−0.276323
$704$	10.0335	−	2.68846i	0.378150	−	0.101325i
$705$	−0.0773675	+	0.446739i	−0.00291383	+	0.0168252i
$706$	5.46902	+	1.46542i	0.205829	+	0.0551518i
$707$	2.75175	+	0.737330i	0.103490	+	0.0277301i
$708$	18.4819	−	1.67380i	0.694594	−	0.0629053i
$709$	−41.0875	−	23.7219i	−1.54307	−	0.890893i	−0.998643	−	0.0520866i	$-0.983413\pi$
$709$	−41.0875	−	23.7219i	−1.54307	−	0.890893i	−0.544430	−	0.838807i	$-0.683254\pi$
$710$	−0.796008	+	0.796008i	−0.0298736	+	0.0298736i
$711$	−1.29759	+	15.9522i	−0.0486636	+	0.598254i
$712$	−8.52804			−0.319602
$713$	−12.7306	−	47.5113i	−0.476765	−	1.77931i
$714$	0.120125	+	0.0555697i	0.00449557	+	0.00207964i
$715$	1.01109	−	3.77343i	0.0378126	−	0.141118i
$716$	3.83868	−	2.21626i	0.143458	−	0.0828257i
$717$	−25.3724	−	11.7372i	−0.947549	−	0.438334i
$718$	2.25722	+	1.30321i	0.0842388	+	0.0486353i
$719$		−	44.0286i		−	1.64199i	−0.570935	−	0.820995i	$-0.693419\pi$
$719$		−	44.0286i		−	1.64199i	0.570935	−	0.820995i	$-0.306581\pi$
$720$	−0.149184	+	0.417796i	−0.00555977	+	0.0155703i
$721$	3.92058			0.146010
$722$	11.3447	−	3.03981i	0.422207	−	0.113130i
$723$	4.22073	+	46.6049i	0.156970	+	1.73325i
$724$	−16.4673	+	9.50742i	−0.612004	+	0.353341i
$725$	26.4445	−	4.52257i	0.982123	−	0.167964i
$726$	−3.08332	+	17.8039i	−0.114433	+	0.660764i
$727$	30.7530	−	8.24024i	1.14056	−	0.305613i	0.361387	−	0.932416i	$-0.382303\pi$
$727$	30.7530	−	8.24024i	1.14056	−	0.305613i	0.779178	+	0.626803i	$0.215637\pi$
$728$	4.23288	−	4.23288i	0.156881	−	0.156881i
$729$	23.1316	−	13.9258i	0.856727	−	0.515770i
$730$		−	0.810112i		−	0.0299836i
$731$	1.05815	−	1.83276i	0.0391370	−	0.0677872i
$732$	17.5798	+	3.04452i	0.649769	+	0.112529i
$733$	16.6474	+	4.46065i	0.614885	+	0.164758i	0.552801	−	0.833313i	$-0.313559\pi$
$733$	16.6474	+	4.46065i	0.614885	+	0.164758i	0.0620834	+	0.998071i	$0.480226\pi$
$734$	−9.60939	−	16.6440i	−0.354689	−	0.614340i
$735$	1.58501	−	0.143545i	0.0584640	−	0.00529474i
$736$	−30.0664	+	8.05628i	−1.10826	+	0.296958i
$737$	−25.7795	−	25.7795i	−0.949601	−	0.949601i
$738$	6.89168	−	19.3004i	0.253686	−	0.710457i
$739$	−14.1023	−	14.1023i	−0.518762	−	0.518762i	0.398435	−	0.917197i	$-0.369554\pi$
$739$	−14.1023	−	14.1023i	−0.518762	−	0.518762i	−0.917197	+	0.398435i	$0.869554\pi$
$740$	0.825535	−	0.221201i	0.0303473	−	0.00813153i
$741$	5.84227	+	15.9004i	0.214621	+	0.584115i
$742$	0.272307	−	1.01626i	0.00999672	−	0.0373082i
$743$	−5.81667	+	21.7081i	−0.213393	+	0.796393i	0.773333	+	0.634000i	$0.218588\pi$
$743$	−5.81667	+	21.7081i	−0.213393	+	0.796393i	−0.986726	+	0.162393i	$0.948079\pi$
$744$	36.7427	+	16.9971i	1.34705	+	0.623144i
$745$	−0.446094	+	0.772657i	−0.0163436	+	0.0283080i
$746$	16.4642	−	16.4642i	0.602796	−	0.602796i
$747$	8.93259	−	7.58870i	0.326826	−	0.277656i
$748$	1.89067			0.0691299
$749$	1.56901	+	0.905867i	0.0573303	+	0.0330997i
$750$	1.08454	−	1.30055i	0.0396019	−	0.0474892i
$751$	−36.3871	−	9.74989i	−1.32778	−	0.355779i	−0.475896	−	0.879502i	$-0.657876\pi$
$751$	−36.3871	−	9.74989i	−1.32778	−	0.355779i	−0.851889	+	0.523723i	$0.824543\pi$
$752$	−0.553795	+	2.06679i	−0.0201948	+	0.0753681i
$753$	21.4694	+	3.71813i	0.782388	+	0.135496i
$754$	−2.08869	+	22.5364i	−0.0760655	+	0.820726i
$755$			1.37039i			0.0498736i
$756$	−0.839065	−	3.02056i	−0.0305165	−	0.109857i
$757$	−17.8167	−	17.8167i	−0.647560	−	0.647560i	0.304843	−	0.952403i	$-0.401396\pi$
$757$	−17.8167	−	17.8167i	−0.647560	−	0.647560i	−0.952403	+	0.304843i	$0.901396\pi$
$758$	−0.156855	+	0.271680i	−0.00569722	+	0.00986787i
$759$	7.90884	−	45.6676i	0.287073	−	1.65763i
$760$	0.498740	−	0.287948i	0.0180912	−	0.0104450i
$761$	3.84650	−	2.22078i	0.139435	−	0.0805030i	−0.428660	−	0.903466i	$-0.641014\pi$
$761$	3.84650	−	2.22078i	0.139435	−	0.0805030i	0.568095	+	0.822963i	$0.307681\pi$
$762$	−10.4829	+	0.949376i	−0.379756	+	0.0343922i
$763$	6.86741	+	3.96490i	0.248617	+	0.143539i
$764$	−13.6495	−	13.6495i	−0.493823	−	0.493823i
$765$	0.0586462	−	0.0848528i	0.00212036	−	0.00306786i
$766$	−1.22641	+	1.22641i	−0.0443121	+	0.0443121i
$767$	−21.0370	+	36.4372i	−0.759603	+	1.31567i
$768$	8.40612	−	18.1715i	0.303330	−	0.655709i
$769$	22.1860	+	5.94471i	0.800046	+	0.214372i	0.635604	−	0.772015i	$-0.280751\pi$
$769$	22.1860	+	5.94471i	0.800046	+	0.214372i	0.164442	+	0.986387i	$0.447418\pi$
$770$	0.175233	−	0.101171i	0.00631496	−	0.00364594i
$771$	−16.6322	−	7.69402i	−0.598994	−	0.277093i
$772$	3.26689	+	12.1922i	0.117578	+	0.438807i
$773$	−9.54911	+	9.54911i	−0.343457	+	0.343457i	−0.857665	−	0.514208i	$-0.828086\pi$
$773$	−9.54911	+	9.54911i	−0.343457	+	0.343457i	0.514208	+	0.857665i	$0.328086\pi$
$774$	17.7920	−	3.24928i	0.639521	−	0.116793i
$775$	32.5873	+	32.5873i	1.17057	+	1.17057i
$776$	12.2652	−	21.2440i	0.440295	−	0.762613i
$777$	−1.96876	+	2.36087i	−0.0706288	+	0.0846956i
$778$	−5.03391	−	8.71899i	−0.180474	−	0.312591i
$779$	13.7670	−	7.94836i	0.493252	−	0.284779i
$780$	−1.13837	−	1.61524i	−0.0407600	−	0.0578349i
$781$	−14.9699	−	55.8685i	−0.535666	−	1.99913i
$782$	0.989808			0.0353955
$783$	22.9857	+	15.9580i	0.821442	+	0.570293i
$784$	7.51082			0.268243
$785$	0.581846	+	2.17148i	0.0207670	+	0.0775034i
$786$	−11.2717	−	15.9936i	−0.402048	−	0.570472i
$787$	8.78383	−	5.07135i	0.313110	−	0.180774i	−0.335207	−	0.942144i	$-0.608806\pi$
$787$	8.78383	−	5.07135i	0.313110	−	0.180774i	0.648317	+	0.761370i	$0.275473\pi$
$788$	−8.63689	−	14.9595i	−0.307676	−	0.532911i
$789$	18.7555	−	22.4909i	0.667713	−	0.800698i
$790$	−0.261270	+	0.452533i	−0.00929557	+	0.0161004i
$791$	−0.780227	−	0.780227i	−0.0277417	−	0.0277417i
$792$	24.6978	+	29.0716i	0.877599	+	1.03301i
$793$	−28.6028	+	28.6028i	−1.01572	+	1.01572i
$794$	−2.98580	−	11.1432i	−0.105962	−	0.395456i
$795$	−0.744165	−	0.344249i	−0.0263928	−	0.0122093i
$796$	−9.84538	+	5.68423i	−0.348960	+	0.201472i
$797$	22.6602	+	6.07178i	0.802666	+	0.215074i	0.636754	−	0.771067i	$-0.280277\pi$
$797$	22.6602	+	6.07178i	0.802666	+	0.215074i	0.165912	+	0.986141i	$0.446943\pi$
$798$	−0.368378	+	0.796324i	−0.0130404	+	0.0281896i
$799$	0.248747	−	0.430842i	0.00880003	−	0.0152421i
$800$	20.6221	−	20.6221i	0.729103	−	0.729103i
$801$	−4.33517	−	9.15059i	−0.153176	−	0.323320i
$802$	−10.9859	−	10.9859i	−0.387927	−	0.387927i
$803$	36.0468	+	20.8116i	1.27206	+	0.734426i
$804$	−18.3665	+	1.66335i	−0.647738	+	0.0586618i
$805$	−0.254251	+	0.146792i	−0.00896117	+	0.00517373i
$806$	−33.6698	+	19.4393i	−1.18597	+	0.684719i
$807$	0.0895411	−	0.517033i	0.00315199	−	0.0182004i
$808$	−8.76739	+	15.1856i	−0.308436	+	0.534226i
$809$	34.3827	+	34.3827i	1.20883	+	1.20883i	0.971406	+	0.237425i	$0.0763035\pi$
$809$	34.3827	+	34.3827i	1.20883	+	1.20883i	0.237425	+	0.971406i	$0.423697\pi$
$810$	0.877161	−	0.0875412i	0.0308203	−	0.00307589i
$811$			34.6580i			1.21701i	0.793551	+	0.608503i	$0.208230\pi$
$811$			34.6580i			1.21701i	−0.793551	+	0.608503i	$0.791770\pi$
$812$	2.49958	−	2.07555i	0.0877180	−	0.0728376i
$813$	6.81828	+	1.18081i	0.239128	+	0.0414127i
$814$	4.10078	−	15.3043i	0.143732	−	0.536416i
$815$	−0.628491	−	0.168404i	−0.0220151	−	0.00589892i
$816$	0.311762	−	0.373854i	0.0109138	−	0.0130875i
$817$	12.1496	+	7.01458i	0.425061	+	0.245409i
$818$	−8.66219			−0.302866
$819$	6.69364	+	2.39013i	0.233895	+	0.0835179i
$820$	−1.31126	+	1.31126i	−0.0457913	+	0.0457913i
$821$	20.1867	−	34.9644i	0.704521	−	1.22027i	−0.262343	−	0.964975i	$-0.584495\pi$
$821$	20.1867	−	34.9644i	0.704521	−	1.22027i	0.966864	−	0.255292i	$-0.0821716\pi$
$822$	−25.9849	−	12.0206i	−0.906326	−	0.419265i
$823$	13.7429	−	51.2893i	0.479048	−	1.78783i	−0.126437	−	0.991975i	$-0.540354\pi$
$823$	13.7429	−	51.2893i	0.479048	−	1.78783i	0.605485	−	0.795857i	$-0.292979\pi$
$824$	−6.24571	+	23.3093i	−0.217580	+	0.812018i
$825$	14.9765	+	40.7603i	0.521416	+	1.41909i
$826$	−2.10499	+	0.564030i	−0.0732420	+	0.0196251i
$827$	−23.4939	−	23.4939i	−0.816963	−	0.816963i	0.168704	−	0.985667i	$-0.446042\pi$
$827$	−23.4939	−	23.4939i	−0.816963	−	0.816963i	−0.985667	+	0.168704i	$0.946042\pi$
$828$	−15.1790	−	17.8671i	−0.527507	−	0.620923i
$829$	−10.9174	−	10.9174i	−0.379177	−	0.379177i	0.491628	−	0.870805i	$-0.336402\pi$
$829$	−10.9174	−	10.9174i	−0.379177	−	0.379177i	−0.870805	+	0.491628i	$0.836402\pi$
$830$	0.369634	−	0.0990432i	0.0128302	−	0.00343784i
$831$	6.43243	−	0.582547i	0.223139	−	0.0202083i
$832$	5.95635	+	10.3167i	0.206499	+	0.357667i
$833$	−1.68681	−	0.451979i	−0.0584445	−	0.0156601i
$834$	1.34651	+	0.233193i	0.0466259	+	0.00807480i
$835$	1.60724	−	2.78382i	0.0556208	−	0.0963381i
$836$			12.5335i			0.433480i
$837$	0.439983	+	48.0652i	0.0152081	+	1.66138i
$838$	−4.48783	+	4.48783i	−0.155029	+	0.155029i
$839$	−14.8650	+	3.98306i	−0.513196	+	0.137510i	−0.506117	−	0.862465i	$-0.668920\pi$
$839$	−14.8650	+	3.98306i	−0.513196	+	0.137510i	−0.00707826	+	0.999975i	$0.502253\pi$
$840$	0.0412331	−	0.238090i	0.00142268	−	0.00821489i
$841$	−5.32970	+	28.5060i	−0.183783	+	0.982967i
$842$	21.0719	−	12.1659i	0.726186	−	0.419264i
$843$	−2.44977	−	27.0501i	−0.0843744	−	0.931655i
$844$	−17.3638	+	4.65260i	−0.597685	+	0.160149i
$845$	2.73166			0.0939720
$846$	4.18251	−	0.763834i	0.143798	−	0.0262612i
$847$			5.88069i			0.202063i
$848$	−3.35112	−	1.93477i	−0.115078	−	0.0664403i
$849$	−42.8087	−	19.8032i	−1.46919	−	0.679644i
$850$	−0.803142	+	0.463694i	−0.0275475	+	0.0159046i
$851$	−5.94995	+	22.2055i	−0.203962	+	0.761195i
$852$	−26.5537	−	12.2837i	−0.909715	−	0.420833i
$853$	−0.189278	−	0.706397i	−0.00648077	−	0.0241866i	0.962610	−	0.270892i	$-0.0873186\pi$
$853$	−0.189278	−	0.706397i	−0.00648077	−	0.0241866i	−0.969091	+	0.246705i	$0.920652\pi$
$854$	−2.09515			−0.0716947
$855$	0.562499	+	0.388772i	0.0192371	+	0.0132957i
$856$	−7.88523	+	7.88523i	−0.269512	+	0.269512i
$857$	−27.7098	−	15.9983i	−0.946550	−	0.546491i	−0.0545427	−	0.998511i	$-0.517370\pi$
$857$	−27.7098	−	15.9983i	−0.946550	−	0.546491i	−0.892008	+	0.452020i	$0.850703\pi$
$858$	−36.4845	+	3.30419i	−1.24556	+	0.112803i
$859$	32.1801	+	8.62262i	1.09797	+	0.294200i	0.761938	−	0.647650i	$-0.224248\pi$
$859$	32.1801	+	8.62262i	1.09797	+	0.294200i	0.336032	+	0.941851i	$0.390915\pi$
$860$	−1.58079	−	0.423570i	−0.0539043	−	0.0144436i
$861$	1.13818	−	6.57211i	0.0387889	−	0.223977i
$862$	20.9184	−	5.60506i	0.712482	−	0.190909i
$863$	−3.48267			−0.118551			−0.0592757	−	0.998242i	$-0.518879\pi$
$863$	−3.48267			−0.118551			−0.0592757	+	0.998242i	$0.518879\pi$
$864$	30.4170	−	0.278434i	1.03481	−	0.00947251i
$865$	1.37409			0.0467203
$866$	24.7675	+	14.2995i	0.841635	+	0.485918i
$867$	23.9757	−	16.8972i	0.814256	−	0.573859i
$868$	5.39086	+	1.44448i	0.182978	+	0.0490287i
$869$	−13.4240	−	23.2510i	−0.455376	−	0.788735i
$870$	0.455130	+	0.792144i	0.0154304	+	0.0268562i
$871$	20.9056	−	36.2096i	0.708361	−	1.22692i
$872$	−34.5130	+	34.5130i	−1.16876	+	1.16876i
$873$	29.0297	+	2.36136i	0.982506	+	0.0799198i
$874$			6.56155i			0.221948i
$875$	0.275569	−	0.477299i	0.00931593	−	0.0161357i
$876$	19.7628	−	7.26143i	0.667723	−	0.245341i
$877$	−19.3269	−	33.4752i	−0.652623	−	1.13038i	−0.982484	−	0.186346i	$-0.940335\pi$
$877$	−19.3269	−	33.4752i	−0.652623	−	1.13038i	0.329861	−	0.944029i	$-0.392998\pi$
$878$	−0.128232	+	0.478568i	−0.00432762	+	0.0161509i
$879$	8.37762	+	22.8006i	0.282570	+	0.769046i
$880$	−0.192609	−	0.718828i	−0.00649286	−	0.0242317i
$881$	−1.89073	+	1.89073i	−0.0637003	+	0.0637003i	−0.738239	−	0.674539i	$-0.764342\pi$
$881$	−1.89073	+	1.89073i	−0.0637003	+	0.0637003i	0.674539	+	0.738239i	$0.264342\pi$
$882$	−6.38973	−	13.4873i	−0.215153	−	0.454141i
$883$		−	17.5981i		−	0.592224i	−0.955153	−	0.296112i	$-0.904310\pi$
$883$		−	17.5981i		−	0.592224i	0.955153	−	0.296112i	$-0.0956902\pi$
$884$	0.561198	+	2.09442i	0.0188751	+	0.0704430i
$885$	0.153180	+	1.69140i	0.00514911	+	0.0568560i
$886$	11.9260	+	20.6565i	0.400663	+	0.693969i
$887$	21.0913	+	5.65140i	0.708177	+	0.189755i	0.594890	−	0.803807i	$-0.297196\pi$
$887$	21.0913	+	5.65140i	0.708177	+	0.189755i	0.113287	+	0.993562i	$0.463862\pi$
$888$	−10.8999	−	15.4660i	−0.365776	−	0.519004i
$889$	−3.30900	+	0.886644i	−0.110980	+	0.0297371i
$890$		−	0.330588i		−	0.0110813i
$891$	−18.6388	+	41.2791i	−0.624425	+	1.38290i
$892$			16.9967i			0.569091i
$893$	2.85610	+	1.64897i	0.0955758	+	0.0551807i
$894$	8.24382	+	1.42769i	0.275715	+	0.0477490i
$895$	0.202825	+	0.351303i	0.00677969	+	0.0117428i
$896$	1.08423	−	4.04641i	0.0362216	−	0.135181i
$897$	52.9365	−	4.79415i	1.76750	−	0.160072i
$898$	−18.5936	−	10.7350i	−0.620475	−	0.358231i
$899$	−45.2562	+	20.8202i	−1.50938	+	0.694393i
$900$	20.6866	+	7.38665i	0.689552	+	0.246222i
$901$	0.636179	+	0.636179i	0.0211942	+	0.0211942i
$902$	8.89774	+	33.2068i	0.296262	+	1.10567i
$903$	5.52519	−	2.03012i	0.183867	−	0.0675582i
$904$	5.88168	−	3.39579i	0.195622	−	0.112942i
$905$	−0.870087	−	1.50703i	−0.0289227	−	0.0500955i
$906$	12.0624	−	4.43210i	0.400748	−	0.147247i
$907$	11.0582	+	41.2699i	0.367183	+	1.37035i	0.864437	+	0.502740i	$0.167675\pi$
$907$	11.0582	+	41.2699i	0.367183	+	1.37035i	−0.497255	+	0.867605i	$0.665658\pi$
$908$	−4.02334			−0.133519
$909$	−20.7510	−	1.68794i	−0.688266	−	0.0559854i
$910$	0.164087	+	0.164087i	0.00543943	+	0.00543943i
$911$	17.9858	−	4.81928i	0.595896	−	0.159670i	0.0517494	−	0.998660i	$-0.483520\pi$
$911$	17.9858	−	4.81928i	0.595896	−	0.159670i	0.544146	+	0.838990i	$0.316854\pi$
$912$	2.47832	+	2.06670i	0.0820654	+	0.0684354i
$913$	−5.08880	+	18.9917i	−0.168415	+	0.628532i
$914$	−1.03845	+	3.87554i	−0.0343488	+	0.128192i
$915$	−0.278624	+	1.60884i	−0.00921102	+	0.0531868i
$916$	−4.10232	+	1.09921i	−0.135545	+	0.0363191i
$917$	−4.50292	−	4.50292i	−0.148699	−	0.148699i
$918$	−0.936563	−	0.241785i	−0.0309112	−	0.00798010i
$919$	21.7633			0.717903			0.358952	−	0.933356i	$-0.383134\pi$
$919$	21.7633			0.717903			0.358952	+	0.933356i	$0.383134\pi$
$920$	−0.467695	−	1.74546i	−0.0154195	−	0.0575462i
$921$	7.73446	−	44.6607i	0.254859	−	1.47162i
$922$	7.95076	+	13.7711i	0.261844	+	0.453527i
$923$	57.4457	−	33.1663i	1.89085	−	1.09168i
$924$	4.03877	+	3.36799i	0.132866	+	0.110799i
$925$	−5.57473	−	20.8052i	−0.183296	−	0.684070i
$926$	15.0472	+	15.0472i	0.494482	+	0.494482i
$927$	−28.1858	+	5.14747i	−0.925745	+	0.169065i
$928$	13.1756	+	28.6394i	0.432511	+	0.940134i
$929$	−47.8228	−	27.6105i	−1.56902	−	0.905872i	−0.996284	−	0.0861300i	$-0.972550\pi$
$929$	−47.8228	−	27.6105i	−1.56902	−	0.905872i	−0.572733	−	0.819742i	$-0.694117\pi$
$930$	−0.658889	+	1.42432i	−0.0216058	+	0.0467053i
$931$	2.99622	−	11.1821i	0.0981972	−	0.366477i
$932$	6.68887	+	11.5855i	0.219101	+	0.379494i
$933$	−5.45293	−	14.8407i	−0.178521	−	0.485864i
$934$	−22.4783	−	12.9778i	−0.735511	−	0.424648i
$935$			0.173028i			0.00565862i
$936$	−24.8735	+	35.9885i	−0.813017	+	1.17632i
$937$		−	18.1094i		−	0.591610i	−0.955248	−	0.295805i	$-0.904412\pi$
$937$		−	18.1094i		−	0.591610i	0.955248	−	0.295805i	$-0.0955878\pi$
$938$	2.09185	−	0.560508i	0.0683012	−	0.0183012i
$939$	29.0879	−	2.63432i	0.949247	−	0.0859677i
$940$	−0.371607	−	0.0995719i	−0.0121205	−	0.00324768i
$941$	19.3357	+	33.4904i	0.630326	+	1.09176i	0.987485	+	0.157714i	$0.0504123\pi$
$941$	19.3357	+	33.4904i	0.630326	+	1.09176i	−0.357158	+	0.934044i	$0.616254\pi$
$942$	17.2320	−	12.1445i	0.561448	−	0.395689i
$943$	−12.9100	−	48.1808i	−0.420408	−	1.56898i
$944$			8.01499i			0.260866i
$945$	0.276431	−	0.0767883i	0.00899232	−	0.00249793i
$946$	−21.4532	+	21.4532i	−0.697505	+	0.697505i
$947$	6.03740	+	22.5319i	0.196189	+	0.732188i	0.991956	+	0.126584i	$0.0404015\pi$
$947$	6.03740	+	22.5319i	0.196189	+	0.732188i	−0.795767	+	0.605603i	$0.792932\pi$
$948$	−13.3815	−	2.31744i	−0.434611	−	0.0752670i
$949$	−12.3548	+	46.1088i	−0.401054	+	1.49675i
$950$	−3.07388	−	5.32412i	−0.0997299	−	0.172737i
$951$	−5.13494	−	4.28210i	−0.166512	−	0.138856i
$952$	−0.132570	+	0.229618i	−0.00429661	+	0.00744195i
$953$			40.9109i			1.32524i	0.748958	+	0.662618i	$0.230555\pi$
$953$			40.9109i			1.32524i	−0.748958	+	0.662618i	$0.769445\pi$
$954$	−0.623382	+	7.66365i	−0.0201827	+	0.248120i
$955$	1.24916	−	1.24916i	0.0404218	−	0.0404218i
$956$	11.8607	−	20.5433i	0.383602	−	0.664418i
$957$	−46.9395	−	0.0985303i	−1.51734	−	0.00318503i
$958$	−7.52055	−	13.0260i	−0.242978	−	0.420850i
$959$	−9.00057	−	2.41170i	−0.290644	−	0.0778777i
$960$	0.436424	+	0.201889i	0.0140855	+	0.00651594i
$961$	−47.2613	−	27.2863i	−1.52456	−	0.880204i
$962$	18.1708			0.585850
$963$	−12.4693	−	4.45245i	−0.401816	−	0.143478i
$964$	−39.7077			−1.27890
$965$	−1.11579	+	0.298975i	−0.0359185	+	0.00962433i
$966$	2.11438	+	1.76321i	0.0680292	+	0.0567305i
$967$	−13.0466	−	3.49582i	−0.419549	−	0.112418i	0.0428672	−	0.999081i	$-0.486351\pi$
$967$	−13.0466	−	3.49582i	−0.419549	−	0.112418i	−0.462416	+	0.886663i	$0.653017\pi$
$968$	−34.9629	−	9.36827i	−1.12375	−	0.301108i
$969$	−0.432223	−	0.613287i	−0.0138850	−	0.0197016i
$970$	0.823517	+	0.475458i	0.0264415	+	0.0152660i
$971$	26.0270	−	26.0270i	0.835246	−	0.835246i	−0.152983	−	0.988229i	$-0.548888\pi$
$971$	26.0270	−	26.0270i	0.835246	−	0.835246i	0.988229	+	0.152983i	$0.0488880\pi$
$972$	9.99800	+	20.6138i	0.320686	+	0.661187i
$973$	0.444759			0.0142583
$974$	−1.90616	−	7.11389i	−0.0610774	−	0.227944i
$975$	−40.7074	+	28.6891i	−1.30368	+	0.918788i
$976$	−1.99438	+	7.44314i	−0.0638387	+	0.238249i
$977$	−17.4258	+	10.0608i	−0.557501	+	0.321873i	−0.752142	−	0.659001i	$-0.770979\pi$
$977$	−17.4258	+	10.0608i	−0.557501	+	0.321873i	0.194641	+	0.980875i	$0.437646\pi$
$978$	0.550335	+	6.07674i	0.0175978	+	0.194313i
$979$	14.7098	+	8.49273i	0.470129	+	0.271429i
$980$			1.35044i			0.0431382i
$981$	−54.5768	−	19.4880i	−1.74250	−	0.622204i
$982$	1.68105			0.0536445
$983$	−46.2494	+	12.3925i	−1.47513	+	0.395259i	−0.904686	−	0.426080i	$-0.859894\pi$
$983$	−46.2494	+	12.3925i	−1.47513	+	0.395259i	−0.570441	+	0.821339i	$0.693228\pi$
$984$	37.2604	+	17.2366i	1.18782	+	0.549483i
$985$	1.36904	−	0.790418i	0.0436214	−	0.0251848i
$986$	−0.168988	−	0.988108i	−0.00538166	−	0.0314678i
$987$	1.29885	−	0.477236i	0.0413429	−	0.0151906i
$988$	−13.8842	+	3.72025i	−0.441714	+	0.118357i
$989$	31.1272	−	31.1272i	0.989786	−	0.989786i
$990$	−1.12695	+	0.957406i	−0.0358169	+	0.0304284i
$991$		−	12.1132i		−	0.384788i	−0.981318	−	0.192394i	$-0.938375\pi$
$991$		−	12.1132i		−	0.384788i	0.981318	−	0.192394i	$-0.0616251\pi$
$992$	−27.0764	+	46.8976i	−0.859675	+	1.48900i
$993$	−17.3390	+	20.7923i	−0.550235	+	0.659823i
$994$	3.31866	+	0.889232i	0.105262	+	0.0282047i
$995$	−0.520201	−	0.901015i	−0.0164915	−	0.0285641i
$996$	5.72938	+	8.12950i	0.181542	+	0.257593i
$997$	18.5107	−	4.95992i	0.586239	−	0.157082i	0.0465054	−	0.998918i	$-0.485192\pi$
$997$	18.5107	−	4.95992i	0.586239	−	0.157082i	0.539734	+	0.841836i	$0.318525\pi$
$998$	−7.69655	−	7.69655i	−0.243630	−	0.243630i
$999$	11.0541	−	19.5576i	0.349737	−	0.618775i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	261.2.l.a.128.18	yes	112
3.2	odd	2		783.2.m.a.737.11		112
9.4	even	3		783.2.m.a.476.11		112
9.5	odd	6	inner	261.2.l.a.41.18	✓	112
29.17	odd	4	inner	261.2.l.a.191.18	yes	112
87.17	even	4		783.2.m.a.278.11		112
261.104	even	12	inner	261.2.l.a.104.18	yes	112
261.220	odd	12		783.2.m.a.17.11		112

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
261.2.l.a.41.18	✓	112	9.5	odd	6	inner
261.2.l.a.104.18	yes	112	261.104	even	12	inner
261.2.l.a.128.18	yes	112	1.1	even	1	trivial
261.2.l.a.191.18	yes	112	29.17	odd	4	inner
783.2.m.a.17.11		112	261.220	odd	12
783.2.m.a.278.11		112	87.17	even	4
783.2.m.a.476.11		112	9.4	even	3
783.2.m.a.737.11		112	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:	\( N \)	\(=\)	\( 261 = 3^{2} \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	261.l (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.188476 + 0.703401i) q^{2} +(-0.997788 - 1.41578i) q^{3} +(1.27280 - 0.734852i) q^{4} +(0.0672512 + 0.116482i) q^{5} +(0.807798 - 0.968684i) q^{6} +(0.205252 - 0.355506i) q^{7} +(1.78664 + 1.78664i) q^{8} +(-1.00884 + 2.82529i) q^{9} +O(q^{10})\)	\(q+(0.188476 + 0.703401i) q^{2} +(-0.997788 - 1.41578i) q^{3} +(1.27280 - 0.734852i) q^{4} +(0.0672512 + 0.116482i) q^{5} +(0.807798 - 0.968684i) q^{6} +(0.205252 - 0.355506i) q^{7} +(1.78664 + 1.78664i) q^{8} +(-1.00884 + 2.82529i) q^{9} +(-0.0692586 + 0.0692586i) q^{10} +(-1.30249 - 4.86097i) q^{11} +(-2.31037 - 1.06877i) q^{12} +(4.99820 - 2.88571i) q^{13} +(0.288748 + 0.0773698i) q^{14} +(0.0978105 - 0.211437i) q^{15} +(0.549721 - 0.952144i) q^{16} +(-0.180756 + 0.180756i) q^{17} +(-2.17745 - 0.177120i) q^{18} +(-1.19825 - 1.19825i) q^{19} +(0.171195 + 0.0988394i) q^{20} +(-0.708115 + 0.0641297i) q^{21} +(3.17372 - 1.83235i) q^{22} +(-4.60486 + 2.65861i) q^{23} +(0.746791 - 4.31216i) q^{24} +(2.49095 - 4.31446i) q^{25} +(2.97185 + 2.97185i) q^{26} +(5.00658 - 1.39075i) q^{27} -0.603319i q^{28} +(3.44023 + 4.14305i) q^{29} +(0.167160 + 0.0289492i) q^{30} +(-2.39422 + 8.93534i) q^{31} +(5.65453 + 1.51513i) q^{32} +(-5.58243 + 6.69426i) q^{33} +(-0.161212 - 0.0930756i) q^{34} +0.0552137 q^{35} +(0.792118 + 4.33738i) q^{36} +(3.05715 - 3.05715i) q^{37} +(0.617009 - 1.06869i) q^{38} +(-9.07267 - 4.19700i) q^{39} +(-0.0879584 + 0.328265i) q^{40} +(-2.42796 + 9.06126i) q^{41} +(-0.178571 - 0.486001i) q^{42} +(-7.99674 + 2.14272i) q^{43} +(-5.22992 - 5.22992i) q^{44} +(-0.396942 + 0.0724919i) q^{45} +(-2.73797 - 2.73797i) q^{46} +(-1.87986 + 0.503706i) q^{47} +(-1.89653 + 0.171757i) q^{48} +(3.41574 + 5.91624i) q^{49} +(3.50428 + 0.938968i) q^{50} +(0.436265 + 0.0755535i) q^{51} +(4.24115 - 7.34588i) q^{52} -3.51955i q^{53} +(1.92187 + 3.25951i) q^{54} +(0.478624 - 0.478624i) q^{55} +(1.00187 - 0.268451i) q^{56} +(-0.500853 + 2.89205i) q^{57} +(-2.26582 + 3.20072i) q^{58} +(-6.31337 + 3.64503i) q^{59} +(-0.0308818 - 0.340994i) q^{60} +(-6.76993 + 1.81400i) q^{61} -6.73638 q^{62} +(0.797341 + 0.938543i) q^{63} +2.06408i q^{64} +(0.672270 + 0.388135i) q^{65} +(-5.76090 - 2.66498i) q^{66} +(6.27395 - 3.62227i) q^{67} +(-0.0972373 + 0.362895i) q^{68} +(8.35867 + 3.86671i) q^{69} +(0.0104064 + 0.0388373i) q^{70} +11.4933 q^{71} +(-6.85019 + 3.24533i) q^{72} +(-5.84846 + 5.84846i) q^{73} +(2.72660 + 1.57420i) q^{74} +(-8.59375 + 0.778285i) q^{75} +(-2.40567 - 0.644598i) q^{76} +(-1.99545 - 0.534678i) q^{77} +(1.24220 - 7.17275i) q^{78} +(5.15317 - 1.38079i) q^{79} +0.147877 q^{80} +(-6.96449 - 5.70051i) q^{81} -6.83131 q^{82} +(-3.38353 - 1.95348i) q^{83} +(-0.854163 + 0.601984i) q^{84} +(-0.0332109 - 0.00889883i) q^{85} +(-3.01438 - 5.22106i) q^{86} +(2.43301 - 9.00447i) q^{87} +(6.35771 - 11.0119i) q^{88} +(-2.38662 + 2.38662i) q^{89} +(-0.125805 - 0.265546i) q^{90} -2.36919i q^{91} +(-3.90738 + 6.76778i) q^{92} +(15.0394 - 5.52590i) q^{93} +(-0.708614 - 1.22736i) q^{94} +(0.0589914 - 0.220159i) q^{95} +(-3.49694 - 9.51732i) q^{96} +(-2.51275 - 9.37772i) q^{97} +(-3.51770 + 3.51770i) q^{98} +(15.0477 + 1.22402i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 112 q - 6 q^{2} - 4 q^{3} - 4 q^{7}+O(q^{10}) \) 112 * q - 6 * q^2 - 4 * q^3 - 4 * q^7	\( 112 q - 6 q^{2} - 4 q^{3} - 4 q^{7} + 6 q^{11} - 18 q^{12} - 18 q^{14} - 8 q^{15} + 40 q^{16} + 22 q^{18} - 8 q^{19} - 12 q^{20} + 24 q^{21} - 12 q^{23} - 96 q^{24} - 44 q^{25} + 20 q^{27} - 42 q^{29} + 28 q^{30} - 2 q^{31} - 66 q^{32} + 12 q^{36} - 8 q^{37} - 12 q^{39} - 12 q^{40} - 18 q^{41} - 2 q^{43} - 52 q^{45} + 8 q^{46} - 36 q^{49} + 24 q^{50} - 36 q^{52} + 8 q^{54} + 36 q^{55} + 84 q^{56} + 28 q^{58} + 48 q^{59} - 36 q^{60} - 14 q^{61} + 24 q^{65} + 18 q^{66} - 102 q^{68} + 36 q^{69} - 8 q^{73} + 144 q^{74} + 18 q^{75} + 14 q^{76} - 72 q^{77} + 12 q^{78} - 2 q^{79} - 56 q^{81} + 80 q^{82} - 120 q^{83} - 14 q^{84} - 48 q^{85} - 76 q^{87} - 36 q^{88} + 160 q^{90} - 40 q^{94} + 204 q^{95} + 22 q^{97} - 54 q^{99}+O(q^{100}) \) 112 * q - 6 * q^2 - 4 * q^3 - 4 * q^7 + 6 * q^11 - 18 * q^12 - 18 * q^14 - 8 * q^15 + 40 * q^16 + 22 * q^18 - 8 * q^19 - 12 * q^20 + 24 * q^21 - 12 * q^23 - 96 * q^24 - 44 * q^25 + 20 * q^27 - 42 * q^29 + 28 * q^30 - 2 * q^31 - 66 * q^32 + 12 * q^36 - 8 * q^37 - 12 * q^39 - 12 * q^40 - 18 * q^41 - 2 * q^43 - 52 * q^45 + 8 * q^46 - 36 * q^49 + 24 * q^50 - 36 * q^52 + 8 * q^54 + 36 * q^55 + 84 * q^56 + 28 * q^58 + 48 * q^59 - 36 * q^60 - 14 * q^61 + 24 * q^65 + 18 * q^66 - 102 * q^68 + 36 * q^69 - 8 * q^73 + 144 * q^74 + 18 * q^75 + 14 * q^76 - 72 * q^77 + 12 * q^78 - 2 * q^79 - 56 * q^81 + 80 * q^82 - 120 * q^83 - 14 * q^84 - 48 * q^85 - 76 * q^87 - 36 * q^88 + 160 * q^90 - 40 * q^94 + 204 * q^95 + 22 * q^97 - 54 * q^99

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