LMFDB - Embedded newform 261.2.l.a.41.18

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			41.18
Character	$\chi$	$=$	261.41
Dual form			261.2.l.a.191.18

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.703401 + 0.188476i) q^{2} +(-1.41578 - 0.997788i) q^{3} +(-1.27280 - 0.734852i) q^{4} +(-0.0672512 + 0.116482i) q^{5} +(-0.807798 - 0.968684i) q^{6} +(0.205252 + 0.355506i) q^{7} +(-1.78664 - 1.78664i) q^{8} +(1.00884 + 2.82529i) q^{9} +O(q^{10})$	\(q+(0.703401 + 0.188476i) q^{2} +(-1.41578 - 0.997788i) 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} +(-4.86097 - 1.30249i) q^{11} +(1.06877 + 2.31037i) q^{12} +(-4.99820 - 2.88571i) q^{13} +(0.0773698 + 0.288748i) q^{14} +(0.211437 - 0.0978105i) q^{15} +(0.549721 + 0.952144i) q^{16} +(0.180756 - 0.180756i) q^{17} +(0.177120 + 2.17745i) q^{18} +(-1.19825 - 1.19825i) q^{19} +(0.171195 - 0.0988394i) q^{20} +(0.0641297 - 0.708115i) 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} +(1.39075 - 5.00658i) q^{27} -0.603319i q^{28} +(5.30810 - 0.907798i) q^{29} +(0.167160 - 0.0289492i) q^{30} +(8.93534 - 2.39422i) q^{31} +(1.51513 + 5.65453i) 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} +(4.19700 + 9.07267i) q^{39} +(0.328265 - 0.0879584i) q^{40} +(-9.06126 + 2.42796i) q^{41} +(0.178571 - 0.486001i) q^{42} +(2.14272 - 7.99674i) q^{43} +(5.22992 + 5.22992i) q^{44} +(-0.396942 - 0.0724919i) q^{45} +(-2.73797 - 2.73797i) q^{46} +(-0.503706 + 1.87986i) q^{47} +(0.171757 - 1.89653i) q^{48} +(3.41574 - 5.91624i) q^{49} +(0.938968 + 3.50428i) 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} +(0.268451 - 1.00187i) q^{56} +(0.500853 + 2.89205i) q^{57} +(3.90482 + 0.361901i) q^{58} +(-6.31337 - 3.64503i) q^{59} +(-0.340994 - 0.0308818i) q^{60} +(1.81400 - 6.76993i) q^{61} +6.73638 q^{62} +(-0.797341 + 0.938543i) q^{63} +2.06408i q^{64} +(0.672270 - 0.388135i) q^{65} +(2.66498 + 5.76090i) q^{66} +(-6.27395 - 3.62227i) q^{67} +(-0.362895 + 0.0972373i) q^{68} +(3.86671 + 8.35867i) q^{69} +(-0.0388373 - 0.0104064i) q^{70} -11.4933 q^{71} +(3.24533 - 6.85019i) q^{72} +(-5.84846 + 5.84846i) q^{73} +(2.72660 - 1.57420i) q^{74} +(0.778285 - 8.59375i) q^{75} +(0.644598 + 2.40567i) q^{76} +(-0.534678 - 1.99545i) q^{77} +(1.24220 + 7.17275i) q^{78} +(-1.38079 + 5.15317i) q^{79} -0.147877 q^{80} +(-6.96449 + 5.70051i) q^{81} -6.83131 q^{82} +(-3.38353 + 1.95348i) q^{83} +(-0.601984 + 0.854163i) q^{84} +(0.00889883 + 0.0332109i) q^{85} +(3.01438 - 5.22106i) q^{86} +(-8.42086 - 4.01112i) q^{87} +(6.35771 + 11.0119i) q^{88} +(2.38662 - 2.38662i) q^{89} +(-0.265546 - 0.125805i) q^{90} -2.36919i q^{91} +(3.90738 + 6.76778i) q^{92} +(-15.0394 - 5.52590i) q^{93} +(-0.708614 + 1.22736i) q^{94} +(0.220159 - 0.0589914i) q^{95} +(3.49694 - 9.51732i) q^{96} +(9.37772 + 2.51275i) q^{97} +(3.51770 - 3.51770i) q^{98} +(-1.22402 - 15.0477i) 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 $\left(\mathbb{Z}/261\mathbb{Z}\right)^\times$.

$n$	$118$	$146$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{5}{6}\right)$

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 $

$2$	0.703401	+	0.188476i	0.497379	+	0.133272i	0.498783	−	0.866727i	$-0.333780\pi$
$2$	0.703401	+	0.188476i	0.497379	+	0.133272i	−0.00140418	+	0.999999i	$0.500447\pi$
$3$	−1.41578	−	0.997788i	−0.817398	−	0.576073i
$3$	−1.41578	−	0.997788i	−0.817398	−	0.576073i
$4$	−1.27280	−	0.734852i	−0.636401	−	0.367426i
$5$	−0.0672512	+	0.116482i	−0.0300756	+	0.0520925i	−0.880671	−	0.473728i	$-0.842908\pi$
$5$	−0.0672512	+	0.116482i	−0.0300756	+	0.0520925i	0.850596	+	0.525820i	$0.176241\pi$
$6$	−0.807798	−	0.968684i	−0.329782	−	0.395463i
$7$	0.205252	+	0.355506i	0.0775778	+	0.134369i	0.902204	−	0.431309i	$-0.141948\pi$
$7$	0.205252	+	0.355506i	0.0775778	+	0.134369i	−0.824627	+	0.565678i	$0.808615\pi$
$8$	−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
$11$	−4.86097	−	1.30249i	−1.46564	−	0.392717i	−0.564206	−	0.825634i	$-0.690817\pi$
$11$	−4.86097	−	1.30249i	−1.46564	−	0.392717i	−0.901434	+	0.432918i	$0.857484\pi$
$12$	1.06877	+	2.31037i	0.308528	+	0.666947i
$13$	−4.99820	−	2.88571i	−1.38625	−	0.800353i	−0.393362	−	0.919384i	$-0.628688\pi$
$13$	−4.99820	−	2.88571i	−1.38625	−	0.800353i	−0.992891	+	0.119031i	$0.962021\pi$
$14$	0.0773698	+	0.288748i	0.0206780	+	0.0771712i
$15$	0.211437	−	0.0978105i	0.0545929	−	0.0252546i
$16$	0.549721	+	0.952144i	0.137430	+	0.238036i
$17$	0.180756	−	0.180756i	0.0438397	−	0.0438397i	−0.684847	−	0.728687i	$-0.740131\pi$
$17$	0.180756	−	0.180756i	0.0438397	−	0.0438397i	0.728687	+	0.684847i	$0.240131\pi$
$18$	0.177120	+	2.17745i	0.0417475	+	0.513230i
$19$	−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
$21$	0.0641297	−	0.708115i	0.0139943	−	0.154523i
$22$	−3.17372	−	1.83235i	−0.676640	−	0.390658i
$23$	−4.60486	−	2.65861i	−0.960179	−	0.554359i	−0.0639506	−	0.997953i	$-0.520370\pi$
$23$	−4.60486	−	2.65861i	−0.960179	−	0.554359i	−0.896228	+	0.443594i	$0.853703\pi$
$24$	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
$27$	1.39075	−	5.00658i	0.267650	−	0.963516i
$28$		−	0.603319i		−	0.114016i
$29$	5.30810	−	0.907798i	0.985689	−	0.168574i
$29$	5.30810	−	0.907798i	0.985689	−	0.168574i
$30$	0.167160	−	0.0289492i	0.0305191	−	0.00528538i
$31$	8.93534	−	2.39422i	1.60483	−	0.430014i	0.658337	−	0.752724i	$-0.271260\pi$
$31$	8.93534	−	2.39422i	1.60483	−	0.430014i	0.946498	+	0.322709i	$0.104594\pi$
$32$	1.51513	+	5.65453i	0.267839	+	0.999589i
$33$	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
$39$	4.19700	+	9.07267i	0.672058	+	1.45279i
$40$	0.328265	−	0.0879584i	0.0519033	−	0.0139075i
$41$	−9.06126	+	2.42796i	−1.41513	+	0.379183i	−0.883754	−	0.467952i	$-0.844992\pi$
$41$	−9.06126	+	2.42796i	−1.41513	+	0.379183i	−0.531377	+	0.847135i	$0.678325\pi$
$42$	0.178571	−	0.486001i	0.0275541	−	0.0749916i
$43$	2.14272	−	7.99674i	0.326762	−	1.21949i	−0.585767	−	0.810479i	$-0.699207\pi$
$43$	2.14272	−	7.99674i	0.326762	−	1.21949i	0.912529	−	0.409012i	$-0.134127\pi$
$44$	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
$47$	−0.503706	+	1.87986i	−0.0734730	+	0.274205i	−0.992883	−	0.119096i	$-0.962000\pi$
$47$	−0.503706	+	1.87986i	−0.0734730	+	0.274205i	0.919410	+	0.393301i	$0.128667\pi$
$48$	0.171757	−	1.89653i	0.0247910	−	0.273740i
$49$	3.41574	−	5.91624i	0.487963	−	0.845177i
$50$	0.938968	+	3.50428i	0.132790	+	0.495580i
$51$	−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	$0.0777128\pi$
$53$			3.51955i			0.483448i	−0.970345	+	0.241724i	$0.922287\pi$
$54$	1.92187	−	3.25951i	0.261534	−	0.443563i
$55$	0.478624	−	0.478624i	0.0645377	−	0.0645377i
$56$	0.268451	−	1.00187i	0.0358732	−	0.133881i
$57$	0.500853	+	2.89205i	0.0663396	+	0.383062i
$58$	3.90482	+	0.361901i	0.512728	+	0.0475200i
$59$	−6.31337	−	3.64503i	−0.821931	−	0.474542i	0.0291508	−	0.999575i	$-0.490720\pi$
$59$	−6.31337	−	3.64503i	−0.821931	−	0.474542i	−0.851082	+	0.525033i	$0.824053\pi$
$60$	−0.340994	−	0.0308818i	−0.0440221	−	0.00398682i
$61$	1.81400	−	6.76993i	0.232259	−	0.866801i	−0.747107	−	0.664704i	$-0.768558\pi$
$61$	1.81400	−	6.76993i	0.232259	−	0.866801i	0.979365	−	0.202097i	$-0.0647757\pi$
$62$	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
$66$	2.66498	+	5.76090i	0.328037	+	0.709118i
$67$	−6.27395	−	3.62227i	−0.766485	−	0.442530i	0.0651344	−	0.997877i	$-0.479252\pi$
$67$	−6.27395	−	3.62227i	−0.766485	−	0.442530i	−0.831619	+	0.555346i	$0.812586\pi$
$68$	−0.362895	+	0.0972373i	−0.0440074	+	0.0117918i
$69$	3.86671	+	8.35867i	0.465497	+	1.00627i
$70$	−0.0388373	−	0.0104064i	−0.00464195	−	0.00124381i
$71$	−11.4933			−1.36400			−0.682000	−	0.731352i	$-0.738890\pi$
$71$	−11.4933			−1.36400			−0.682000	+	0.731352i	$0.738890\pi$
$72$	3.24533	−	6.85019i	0.382466	−	0.807303i
$73$	−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
$75$	0.778285	−	8.59375i	0.0898686	−	0.992321i
$76$	0.644598	+	2.40567i	0.0739404	+	0.275949i
$77$	−0.534678	−	1.99545i	−0.0609322	−	0.227402i
$78$	1.24220	+	7.17275i	0.140651	+	0.812154i
$79$	−1.38079	+	5.15317i	−0.155351	+	0.579777i	0.843724	+	0.536777i	$0.180358\pi$
$79$	−1.38079	+	5.15317i	−0.155351	+	0.579777i	−0.999075	+	0.0430003i	$0.986308\pi$
$80$	−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	−0.674066	−	0.738671i	$-0.735454\pi$
$83$	−3.38353	+	1.95348i	−0.371391	+	0.214423i	0.302675	+	0.953094i	$0.402120\pi$
$84$	−0.601984	+	0.854163i	−0.0656818	+	0.0931969i
$85$	0.00889883	+	0.0332109i	0.000965214	+	0.00360223i
$86$	3.01438	−	5.22106i	0.325049	−	0.563001i
$87$	−8.42086	−	4.01112i	−0.902811	−	0.430037i
$88$	6.35771	+	11.0119i	0.677735	+	1.17387i
$89$	2.38662	−	2.38662i	0.252981	−	0.252981i	−0.569211	−	0.822192i	$-0.692751\pi$
$89$	2.38662	−	2.38662i	0.252981	−	0.252981i	0.822192	+	0.569211i	$0.192751\pi$
$90$	−0.265546	−	0.125805i	−0.0279910	−	0.0132610i
$91$		−	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
$95$	0.220159	−	0.0589914i	0.0225878	−	0.00605239i
$96$	3.49694	−	9.51732i	0.356905	−	0.971357i
$97$	9.37772	+	2.51275i	0.952163	+	0.255131i	0.701280	−	0.712886i	$-0.252612\pi$
$97$	9.37772	+	2.51275i	0.952163	+	0.255131i	0.250883	+	0.968017i	$0.419279\pi$
$98$	3.51770	−	3.51770i	0.355342	−	0.355342i
$99$	−1.22402	−	15.0477i	−0.123018	−	1.51235i
$100$		−	7.32194i		−	0.732194i
$101$	6.70336	+	1.79616i	0.667009	+	0.178725i	0.576407	−	0.817163i	$-0.304454\pi$
$101$	6.70336	+	1.79616i	0.667009	+	0.178725i	0.0906021	+	0.995887i	$0.471121\pi$
$102$	−0.321109	−	0.0290809i	−0.0317945	−	0.00287944i
$103$	4.77534	−	8.27113i	0.470528	−	0.814978i	−0.528904	−	0.848682i	$-0.677397\pi$
$103$	4.77534	−	8.27113i	0.470528	−	0.814978i	0.999432	+	0.0337034i	$0.0107302\pi$
$104$	3.77425	+	14.0857i	0.370096	+	1.38122i
$105$	0.0781701	+	0.0550915i	0.00762862	+	0.00537638i
$106$	−0.663350	+	2.47566i	−0.0644302	+	0.240457i
$107$		−	4.41345i		−	0.426664i	−0.976980	−	0.213332i	$-0.931568\pi$
$107$		−	4.41345i		−	0.426664i	0.976980	−	0.213332i	$-0.0684316\pi$
$108$	−5.44924	+	5.35038i	−0.524354	+	0.514841i
$109$			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
$113$	2.59635	−	0.695690i	0.244244	−	0.0654450i	−0.134620	−	0.990897i	$-0.542981\pi$
$113$	2.59635	−	0.695690i	0.244244	−	0.0654450i	0.378864	+	0.925452i	$0.376315\pi$
$114$	−0.192781	+	2.12867i	−0.0180556	+	0.199368i
$115$	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
$119$	0.101360	+	0.0271594i	0.00929167	+	0.00248969i
$120$	−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
$124$	−13.1323	−	3.51879i	−1.17932	−	0.315997i
$125$	−1.34259			−0.120085
$126$	−0.737743	+	0.509892i	−0.0657234	+	0.0454248i
$127$	−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	$0.870731\pi$
$128$	2.64123	−	9.85719i	0.233454	−	0.871260i
$129$	−11.0127	+	9.18360i	−0.969611	+	0.808571i
$130$	0.546029	−	0.146308i	0.0478899	−	0.0128321i
$131$	14.9843	−	4.01503i	1.30918	−	0.350795i	0.464268	−	0.885695i	$-0.346317\pi$
$131$	14.9843	−	4.01503i	1.30918	−	0.350795i	0.844915	+	0.534900i	$0.179651\pi$
$132$	−2.18604	−	12.6227i	−0.190270	−	1.09867i
$133$	0.180043	−	0.671928i	0.0156117	−	0.0582636i
$134$	−3.73039	−	3.73039i	−0.322257	−	0.322257i
$135$	0.489649	+	0.498696i	0.0421423	+	0.0429209i
$136$	−0.645889			−0.0553846
$137$	−21.9257	−	5.87498i	−1.87324	−	0.501933i	−0.999890	−	0.0148393i	$-0.995276\pi$
$137$	−21.9257	−	5.87498i	−1.87324	−	0.501933i	−0.873350	−	0.487094i	$-0.838057\pi$
$138$	1.14444	+	6.60827i	0.0974210	+	0.562533i
$139$	0.541724	−	0.938294i	0.0459484	−	0.0795850i	−0.842137	−	0.539264i	$-0.818702\pi$
$139$	0.541724	−	0.938294i	0.0459484	−	0.0795850i	0.888085	+	0.459679i	$0.152036\pi$
$140$	0.0702760	+	0.0405739i	0.00593941	+	0.00342912i
$141$	2.58883	−	2.15886i	0.218019	−	0.181809i
$142$	−8.08437	−	2.16620i	−0.678425	−	0.181784i
$143$	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
$147$	−10.7391	+	4.96788i	−0.885744	+	0.409744i
$148$	−6.13770	+	1.64459i	−0.504516	+	0.135185i
$149$	−3.31662	+	5.74456i	−0.271708	+	0.470613i	−0.969299	−	0.245884i	$-0.920922\pi$
$149$	−3.31662	+	5.74456i	−0.271708	+	0.470613i	0.697591	+	0.716496i	$0.254255\pi$
$150$	2.16716	−	5.89816i	0.176948	−	0.481583i
$151$	−8.82359	+	5.09430i	−0.718053	+	0.414568i	−0.814036	−	0.580815i	$-0.802734\pi$
$151$	−8.82359	+	5.09430i	−0.718053	+	0.414568i	0.0959823	+	0.995383i	$0.469401\pi$
$152$			4.28168i			0.347290i
$153$	0.693040	+	0.328333i	0.0560289	+	0.0265442i
$154$		−	1.50437i		−	0.121226i
$155$	−0.322028	+	1.20182i	−0.0258659	+	0.0965329i
$156$	1.32512	−	14.6319i	0.106095	−	1.17149i
$157$	−4.32592	−	16.1445i	−0.345246	−	1.28847i	−0.892325	−	0.451394i	$-0.850927\pi$
$157$	−4.32592	−	16.1445i	−0.345246	−	1.28847i	0.547079	−	0.837081i	$-0.315740\pi$
$158$	−1.94249	+	3.36450i	−0.154537	+	0.267665i
$159$	3.51177	−	4.98290i	0.278501	−	0.395169i
$160$	−0.760548	−	0.203788i	−0.0601266	−	0.0161109i
$161$		−	2.18274i		−	0.172024i
$162$	−5.97323	+	2.69711i	−0.469302	+	0.211905i
$163$	−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	$0.310671\pi$
$164$	13.3174	+	3.56838i	1.03991	+	0.278644i
$165$	−1.15519	+	0.200059i	−0.0899314	+	0.0155745i
$166$	−2.74816	+	0.736368i	−0.213299	+	0.0571532i
$167$	11.9495	−	20.6972i	0.924683	−	1.60160i	0.132612	−	0.991168i	$-0.457664\pi$
$167$	11.9495	−	20.6972i	0.924683	−	1.60160i	0.792071	−	0.610429i	$-0.209003\pi$
$168$	−1.37972	+	1.15057i	−0.106448	+	0.0887682i
$169$	10.1547	+	17.5884i	0.781130	+	1.35296i
$170$			0.0250378i			0.00192031i
$171$	2.17656	−	4.59424i	0.166446	−	0.351330i
$172$	−8.60368	+	8.60368i	−0.656024	+	0.656024i
$173$	−5.10803	−	8.84738i	−0.388357	−	0.672654i	0.603872	−	0.797081i	$-0.293624\pi$
$173$	−5.10803	−	8.84738i	−0.388357	−	0.672654i	−0.992229	+	0.124428i	$0.960290\pi$
$174$	−5.16724	−	4.40855i	−0.391728	−	0.334211i
$175$	−1.02254	+	1.77110i	−0.0772971	+	0.133883i
$176$	−1.43202	−	5.34436i	−0.107942	−	0.402846i
$177$	5.30135	+	11.4599i	0.398474	+	0.861382i
$178$	2.12857	−	1.22893i	0.159543	−	0.0921121i
$179$	−3.01593			−0.225421			−0.112711	−	0.993628i	$-0.535953\pi$
$179$	−3.01593			−0.225421			−0.112711	+	0.993628i	$0.535953\pi$
$180$	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	$0.659665\pi$
$182$	0.446535	−	1.66649i	0.0330993	−	0.123528i
$183$	−9.32317	+	7.77472i	−0.689189	+	0.574724i
$184$	3.47723	+	12.9772i	0.256345	+	0.956691i
$185$	0.150507	+	0.561701i	0.0110655	+	0.0412971i
$186$	−9.53719	−	6.72148i	−0.699301	−	0.492842i
$187$	−1.11408	+	0.643215i	−0.0814697	+	0.0470366i
$188$	2.02253	−	2.02253i	0.147508	−	0.147508i
$189$	2.06532	−	0.533188i	0.150230	−	0.0387837i
$190$	0.165978			0.0120413
$191$	−12.6866	−	3.39938i	−0.917973	−	0.245970i	−0.231254	−	0.972893i	$-0.574283\pi$
$191$	−12.6866	−	3.39938i	−0.917973	−	0.245970i	−0.686719	+	0.726923i	$0.740950\pi$
$192$	2.05952	−	2.92228i	0.148633	−	0.210897i
$193$	8.29568	−	2.22282i	0.597136	−	0.160002i	0.0524234	−	0.998625i	$-0.483305\pi$
$193$	8.29568	−	2.22282i	0.597136	−	0.160002i	0.544712	+	0.838623i	$0.316639\pi$
$194$	6.12270	+	3.53494i	0.439584	+	0.253794i
$195$	−1.33906	−	0.121271i	−0.0958921	−	0.00868438i
$196$	−8.69513	+	5.02013i	−0.621081	+	0.358581i
$197$			11.7532i			0.837383i	0.908129	+	0.418691i	$0.137511\pi$
$197$			11.7532i			0.837383i	−0.908129	+	0.418691i	$0.862489\pi$
$198$	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	$0.588402\pi$
$200$	3.25794	−	12.1588i	0.230371	−	0.859758i
$201$	5.26825	+	11.3884i	0.371593	+	0.803275i
$202$	4.37662	+	2.52684i	0.307938	+	0.177788i
$203$	1.41222	+	1.70073i	0.0991187	+	0.119368i
$204$	0.610800	+	0.224426i	0.0427645	+	0.0157129i
$205$	0.326566	−	1.21876i	0.0228084	−	0.0851220i
$206$	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
$211$	3.16567	+	11.8145i	0.217934	+	0.813340i	0.985113	+	0.171908i	$0.0549930\pi$
$211$	3.16567	+	11.8145i	0.217934	+	0.813340i	−0.767179	+	0.641433i	$0.778340\pi$
$212$	2.58635	−	4.47969i	0.177631	−	0.307667i
$213$	16.2719	+	11.4678i	1.11493	+	0.785764i
$214$	0.831827	−	3.10442i	0.0568625	−	0.212214i
$215$	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
$218$	−3.64083	+	13.5878i	−0.246588	+	0.920281i
$219$	14.1156	−	2.44458i	0.953845	−	0.165189i
$220$	−0.960911	+	0.257475i	−0.0647846	+	0.0173590i
$221$	−1.42506	+	0.381844i	−0.0958601	+	0.0256856i
$222$	−5.43097	−	0.491851i	−0.364503	−	0.0330109i
$223$	−5.78235	−	10.0153i	−0.387215	−	0.670675i	0.604859	−	0.796333i	$-0.293229\pi$
$223$	−5.78235	−	10.0153i	−0.387215	−	0.670675i	−0.992074	+	0.125657i	$0.959896\pi$
$224$	−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	−0.576609	−	0.817020i	$-0.695624\pi$
$227$	−2.37076	+	1.36876i	−0.157353	+	0.0908477i	0.419256	+	0.907868i	$0.362291\pi$
$228$	1.48774	−	4.04906i	0.0985283	−	0.268156i
$229$	0.747915	+	2.79126i	0.0494236	+	0.184451i	0.986225	−	0.165411i	$-0.0528950\pi$
$229$	0.747915	+	2.79126i	0.0494236	+	0.184451i	−0.936801	+	0.349862i	$0.886228\pi$
$230$	0.503058	−	0.134794i	0.0331707	−	0.00888805i
$231$	−1.23405	+	3.35860i	−0.0811944	+	0.220980i
$232$	−11.1056	−	7.86174i	−0.729115	−	0.516149i
$233$		−	9.10233i		−	0.596313i	−0.954517	−	0.298157i	$-0.903628\pi$
$233$		−	9.10233i		−	0.596313i	0.954517	−	0.298157i	$-0.0963718\pi$
$234$	5.39822	−	11.3945i	0.352892	−	0.744879i
$235$	−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	0.878545	−	0.477660i	$-0.158515\pi$
$239$	13.9778	+	8.07011i	0.904151	+	0.522012i	0.0256065	+	0.999672i	$0.491848\pi$
$240$	0.209361	+	0.147550i	0.0135142	+	0.00952433i
$241$	23.3978	−	13.5087i	1.50718	−	0.870173i	0.507220	−	0.861817i	$-0.330673\pi$
$241$	23.3978	−	13.5087i	1.50718	−	0.870173i	0.999965	−	0.00835662i	$-0.00266002\pi$
$242$	7.37659	+	7.37659i	0.474185	+	0.474185i
$243$	15.5481	−	1.12156i	0.997408	−	0.0719482i
$244$	−7.28376	+	7.28376i	−0.466295	+	0.466295i
$245$	0.459426	+	0.795748i	0.0293516	+	0.0508385i
$246$	9.67159	+	6.81620i	0.616638	+	0.434585i
$247$	2.53129	+	9.44691i	0.161062	+	0.601092i
$248$	−20.2418	−	11.6866i	−1.28536	−	0.742101i
$249$	6.73948	+	0.610355i	0.427097	+	0.0386797i
$250$	−0.944379	−	0.253046i	−0.0597278	−	0.0160040i
$251$	8.89531	−	8.89531i	0.561467	−	0.561467i	−0.368257	−	0.929724i	$-0.620045\pi$
$251$	8.89531	−	8.89531i	0.561467	−	0.561467i	0.929724	+	0.368257i	$0.120045\pi$
$252$	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	0.757772	−	0.652519i	$-0.226288\pi$
$257$	9.16280	+	5.29015i	0.571560	+	0.329990i	−0.186212	+	0.982510i	$0.559621\pi$
$258$	−9.47720	+	4.38413i	−0.590024	+	0.272944i
$259$	1.71432	+	0.459351i	0.106523	+	0.0285427i
$260$	−1.14089			−0.0707549
$261$	7.91980	+	14.0811i	0.490223	+	0.871597i
$262$	11.2967			0.697912
$263$	16.3316	+	4.37603i	1.00705	+	0.269838i	0.724396	−	0.689385i	$-0.242119\pi$
$263$	16.3316	+	4.37603i	1.00705	+	0.269838i	0.282653	+	0.959222i	$0.408786\pi$
$264$	1.98643	−	21.9340i	0.122256	−	1.34994i
$265$	−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	0.700546	−	0.713607i	$-0.252940\pi$
$269$	−0.214220	−	0.214220i	−0.0130612	−	0.0130612i	−0.713607	+	0.700546i	$0.752940\pi$
$270$	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	$0.288720\pi$
$272$	0.271470	+	0.0727403i	0.0164603	+	0.00441053i
$273$	−2.36395	+	3.35424i	−0.143073	+	0.203008i
$274$	−14.3153	−	8.26492i	−0.864817	−	0.499302i
$275$	−6.48891	−	24.2169i	−0.391296	−	1.46034i
$276$	1.22084	−	13.4804i	0.0734858	−	0.811424i
$277$	−1.86448	−	3.22938i	−0.112026	−	0.194035i	0.804561	−	0.593870i	$-0.202401\pi$
$277$	−1.86448	−	3.22938i	−0.112026	−	0.194035i	−0.916587	+	0.399835i	$0.869067\pi$
$278$	0.557894	−	0.557894i	0.0334603	−	0.0334603i
$279$	15.7787	+	22.8295i	0.944644	+	1.36677i
$280$	0.0986468	+	0.0986468i	0.00589527	+	0.00589527i
$281$	13.5804	−	7.84065i	0.810139	−	0.467734i	−0.0368655	−	0.999320i	$-0.511737\pi$
$281$	13.5804	−	7.84065i	0.810139	−	0.467734i	0.847004	+	0.531587i	$0.178404\pi$
$282$	2.22788	−	1.03061i	0.132668	−	0.0613721i
$283$	−23.5836	−	13.6160i	−1.40190	−	0.809388i	−0.407313	−	0.913289i	$-0.633534\pi$
$283$	−23.5836	−	13.6160i	−1.40190	−	0.809388i	−0.994588	+	0.103901i	$0.966868\pi$
$284$	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
$288$	−14.4472	+	9.98518i	−0.851307	+	0.588382i
$289$			16.9347i			0.996156i
$290$	−0.304759	+	0.430504i	−0.0178960	+	0.0252801i
$291$	−10.7695	−	12.9145i	−0.631322	−	0.757059i
$292$	11.7417	−	3.14617i	0.687130	−	0.184116i
$293$	−3.62979	−	13.5465i	−0.212054	−	0.791398i	−0.987183	−	0.159594i	$-0.948981\pi$
$293$	−3.62979	−	13.5465i	−0.212054	−	0.791398i	0.775128	−	0.631804i	$-0.217685\pi$
$294$	−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
$300$	−7.30574	+	10.3662i	−0.421797	+	0.598494i
$301$	3.28269	−	0.879593i	0.189211	−	0.0506989i
$302$	−7.16667	+	1.92030i	−0.412395	+	0.110501i
$303$	−7.69827	−	9.23149i	−0.442254	−	0.530335i
$304$	0.482204	−	1.79961i	0.0276563	−	0.103215i
$305$	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	$0.481607\pi$
$308$	−0.785819	+	2.93272i	−0.0447762	+	0.167107i
$309$	−15.0136	+	6.94528i	−0.854096	+	0.395103i
$310$	−0.453029	+	0.784670i	−0.0257303	+	0.0445662i
$311$	2.36260	+	8.81734i	0.133971	+	0.499985i	1.00000		7.83358e-6i	$-2.49351e-6\pi$
$311$	2.36260	+	8.81734i	0.133971	+	0.499985i	−0.866029	+	0.499993i	$0.833336\pi$
$312$	8.71105	−	23.7081i	0.493166	−	1.34221i
$313$	−8.43131	−	14.6035i	−0.476566	−	0.825436i	0.523074	−	0.852288i	$-0.324785\pi$
$313$	−8.43131	−	14.6035i	−0.476566	−	0.825436i	−0.999639	+	0.0268512i	$0.991452\pi$
$314$		−	12.1714i		−	0.686872i
$315$	−0.0557016	−	0.155994i	−0.00313843	−	0.00878929i
$316$	5.54429	−	5.54429i	0.311891	−	0.311891i
$317$	0.999099	−	3.72869i	0.0561150	−	0.209424i	−0.932176	−	0.362006i	$-0.882092\pi$
$317$	0.999099	−	3.72869i	0.0561150	−	0.209424i	0.988291	+	0.152582i	$0.0487587\pi$
$318$	3.40933	−	2.84309i	0.191186	−	0.159433i
$319$	−26.9849	−	2.50098i	−1.51087	−	0.140028i
$320$	−0.240429	−	0.138812i	−0.0134404	−	0.00775983i
$321$	−4.40368	+	6.24845i	−0.245790	+	0.348754i
$322$	0.411393	−	1.53534i	0.0229260	−	0.0855612i
$323$	−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
$327$	19.2745	−	27.3489i	1.06588	−	1.51240i
$328$	20.5271	+	11.8513i	1.13342	+	0.654379i
$329$	−0.771687	+	0.206773i	−0.0425445	+	0.0113998i
$330$	−0.850267	−	0.0770036i	−0.0468057	−	0.00423891i
$331$	15.0981	+	4.04553i	0.829868	+	0.222362i	0.648656	−	0.761082i	$-0.275331\pi$
$331$	15.0981	+	4.04553i	0.829868	+	0.222362i	0.181212	+	0.983444i	$0.441998\pi$
$332$	5.74209			0.315138
$333$	11.7215	+	5.55315i	0.642334	+	0.304311i
$334$	12.3062	−	12.3062i	0.673367	−	0.673367i
$335$	0.843861	−	0.487203i	0.0461050	−	0.0266188i
$336$	0.709480	−	0.328204i	0.0387053	−	0.0179050i
$337$	−0.552883	−	2.06339i	−0.0301175	−	0.112400i	0.949231	−	0.314581i	$-0.101864\pi$
$337$	−0.552883	−	2.06339i	−0.0301175	−	0.112400i	−0.979348	+	0.202181i	$0.935197\pi$
$338$	3.82782	+	14.2856i	0.208206	+	0.777036i
$339$	−4.37000	−	1.60567i	−0.237346	−	0.0872079i
$340$	0.0130787	−	0.0488102i	0.000709289	−	0.00264710i
$341$	−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
$345$	−1.23368	−	0.111727i	−0.0664190	−	0.00601518i
$346$	−1.92548	−	7.18599i	−0.103514	−	0.386321i
$347$	−12.4534	+	21.5698i	−0.668531	+	1.15793i	0.309784	+	0.950807i	$0.399743\pi$
$347$	−12.4534	+	21.5698i	−0.668531	+	1.15793i	−0.978315	+	0.207123i	$0.933590\pi$
$348$	7.77051	+	11.2934i	0.416543	+	0.605392i
$349$	−2.14109	−	3.70847i	−0.114610	−	0.198510i	0.803014	−	0.595960i	$-0.203228\pi$
$349$	−2.14109	−	3.70847i	−0.114610	−	0.198510i	−0.917624	+	0.397450i	$0.869895\pi$
$350$	−1.05307	+	1.05307i	−0.0562888	+	0.0562888i
$351$	−21.3988	+	21.0106i	−1.14218	+	1.12146i
$352$		−	29.4600i		−	1.57022i
$353$	−3.88756	−	6.73345i	−0.206914	−	0.358385i	0.743827	−	0.668372i	$-0.233009\pi$
$353$	−3.88756	−	6.73345i	−0.206914	−	0.358385i	−0.950741	+	0.309987i	$0.899675\pi$
$354$	1.56905	+	9.06011i	0.0833942	+	0.481539i
$355$	0.772936	−	1.33876i	0.0410232	−	0.0710542i
$356$	−4.79150	+	1.28388i	−0.253949	+	0.0680455i
$357$	−0.116404	−	0.139587i	−0.00616075	−	0.00738775i
$358$	−2.12141	−	0.568430i	−0.112120	−	0.0300424i
$359$	−2.53087	+	2.53087i	−0.133574	+	0.133574i	−0.770733	−	0.637159i	$-0.780110\pi$
$359$	−2.53087	+	2.53087i	−0.133574	+	0.133574i	0.637159	+	0.770733i	$0.280110\pi$
$360$	0.579675	+	0.838708i	0.0305515	+	0.0442038i
$361$		−	16.1284i		−	0.848863i
$362$	−9.10050	−	2.43847i	−0.478312	−	0.128163i
$363$	−10.4176	−	22.5198i	−0.546782	−	1.18198i
$364$	−1.74100	+	3.01551i	−0.0912535	+	0.158056i
$365$	−0.287927	−	1.07456i	−0.0150708	−	0.0562450i
$366$	−8.02327	+	3.71155i	−0.419383	+	0.194006i
$367$	6.83067	−	25.4924i	0.356558	−	1.33069i	−0.521954	−	0.852973i	$-0.674797\pi$
$367$	6.83067	−	25.4924i	0.356558	−	1.33069i	0.878512	−	0.477719i	$-0.158536\pi$
$368$		−	5.84598i		−	0.304743i
$369$	−16.0010	−	23.1512i	−0.832980	−	1.20521i
$370$			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	0.0720066	+	0.997404i	$0.477060\pi$
$373$	−15.9870	+	27.6902i	−0.827774	+	1.43375i	−0.899781	+	0.436343i	$0.856274\pi$
$374$	−0.904876	+	0.242461i	−0.0467900	+	0.0125373i
$375$	1.90081	+	1.33962i	0.0981572	+	0.0691777i
$376$	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	$0.746478\pi$
$380$	−0.323569	−	0.0866999i	−0.0165987	−	0.00444761i
$381$	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	$-0.852715\pi$
$383$	−1.19087	+	2.06264i	−0.0608505	+	0.105396i	0.833995	+	0.551771i	$0.186048\pi$
$384$	−13.5748	+	11.3202i	−0.692734	+	0.577680i
$385$	0.268392	+	0.0719155i	0.0136785	+	0.00366515i
$386$	6.25413			0.318327
$387$	24.7547	−	2.01362i	1.25835	−	0.102358i
$388$	−10.0895	−	10.0895i	−0.512215	−	0.512215i
$389$	−3.57827	+	13.3543i	−0.181425	+	0.677089i	0.813942	+	0.580946i	$0.197317\pi$
$389$	−3.57827	+	13.3543i	−0.181425	+	0.677089i	−0.995368	+	0.0961428i	$0.969349\pi$
$390$	−0.919039	−	0.337682i	−0.0465374	−	0.0170992i
$391$	−1.31291	+	0.351794i	−0.0663969	+	0.0177910i
$392$	−16.6729	+	4.46748i	−0.842107	+	0.225642i
$393$	−25.2205	−	9.26676i	−1.27221	−	0.467446i
$394$	−2.21520	+	8.26723i	−0.111600	+	0.416497i
$395$	−0.507394	−	0.507394i	−0.0255298	−	0.0255298i
$396$	−9.49987	+	20.0521i	−0.477387	+	1.00766i
$397$	−15.8419			−0.795080			−0.397540	−	0.917585i	$-0.630136\pi$
$397$	−15.8419			−0.795080			−0.397540	+	0.917585i	$0.630136\pi$
$398$	−5.44094	−	1.45790i	−0.272730	−	0.0730778i
$399$	−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	−0.0381910	−	0.999270i	$-0.512160\pi$
$401$	−18.4767	−	10.6675i	−0.922680	−	0.532710i	−0.884489	+	0.466561i	$0.845493\pi$
$402$	1.55925	+	9.00353i	0.0777686	+	0.449055i
$403$	−51.5697	−	13.8181i	−2.56887	−	0.688326i
$404$	−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
$408$	0.914434	+	0.644461i	0.0452712	+	0.0319056i
$409$	11.4898	−	3.07868i	0.568134	−	0.152231i	0.0366935	−	0.999327i	$-0.488317\pi$
$409$	11.4898	−	3.07868i	0.568134	−	0.152231i	0.531441	+	0.847095i	$0.321651\pi$
$410$	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
$414$	4.97339	−	10.4977i	0.244429	−	0.515935i
$415$		−	0.525496i		−	0.0257956i
$416$	8.74445	−	32.6347i	0.428732	−	1.60005i
$417$	−1.70318	+	0.787887i	−0.0834050	+	0.0385830i
$418$	1.60730	+	5.99853i	0.0786157	+	0.293398i
$419$	−4.35775	+	7.54784i	−0.212890	+	0.368736i	−0.952618	−	0.304170i	$-0.901621\pi$
$419$	−4.35775	+	7.54784i	−0.212890	+	0.368736i	0.739728	+	0.672906i	$0.234954\pi$
$420$	−0.0590109	−	0.127564i	−0.00287944	−	0.00622449i
$421$	32.2744	+	8.64790i	1.57296	+	0.421473i	0.936737	−	0.350034i	$-0.113830\pi$
$421$	32.2744	+	8.64790i	1.57296	+	0.421473i	0.636221	+	0.771507i	$0.280497\pi$
$422$			8.90694i			0.433583i
$423$	−5.81929	+	0.473357i	−0.282943	+	0.0230154i
$424$	6.28817	−	6.28817i	0.305380	−	0.305380i
$425$	1.23012	+	0.329609i	0.0596694	+	0.0159884i
$426$	9.28424	+	11.1333i	0.449823	+	0.539412i
$427$	2.77908	−	0.744652i	0.134489	−	0.0360362i
$428$	−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	$0.254137\pi$
$431$			29.7389i			1.43247i	−0.697858	+	0.716236i	$0.745863\pi$
$432$	5.53151	−	1.42803i	0.266135	−	0.0687059i
$433$	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
$435$	1.03354	−	0.711130i	0.0495543	−	0.0340961i
$436$	14.1953	−	24.5871i	0.679834	−	1.17751i
$437$	2.33208	+	8.70345i	0.111559	+	0.416343i
$438$	10.3897	+	0.940931i	0.496438	+	0.0449594i
$439$	−0.589212	+	0.340182i	−0.0281215	+	0.0162360i	−0.513995	−	0.857793i	$-0.671835\pi$
$439$	−0.589212	+	0.340182i	−0.0281215	+	0.0162360i	0.485873	+	0.874029i	$0.338502\pi$
$440$	−1.71026			−0.0815332
$441$	20.1610	+	3.68192i	0.960048	+	0.175330i
$442$	−1.07436			−0.0511020
$443$	8.47742	−	31.6382i	0.402774	−	1.50317i	−0.405350	−	0.914162i	$-0.632850\pi$
$443$	8.47742	−	31.6382i	0.402774	−	1.50317i	0.808124	−	0.589012i	$-0.200483\pi$
$444$	10.3306	+	3.79575i	0.490266	+	0.180138i
$445$	0.117496	+	0.438502i	0.00556986	+	0.0207870i
$446$	−2.17966	−	8.13461i	−0.103210	−	0.385185i
$447$	10.4274	−	4.82372i	0.493201	−	0.228154i
$448$	−0.733794	+	0.423656i	−0.0346685	+	0.0200159i
$449$	20.8477	−	20.8477i	0.983863	−	0.983863i	−0.0160087	−	0.999872i	$-0.505096\pi$
$449$	20.8477	−	20.8477i	0.983863	−	0.983863i	0.999872	+	0.0160087i	$0.00509594\pi$
$450$	−8.95332	+	6.18810i	−0.422064	+	0.291710i
$451$	47.2090			2.22298
$452$	−3.81587	−	1.02246i	−0.179483	−	0.0480924i
$453$	17.5753	+	1.59169i	0.825757	+	0.0747839i
$454$	−1.92557	+	0.515955i	−0.0903715	+	0.0242150i
$455$	0.275969	+	0.159331i	0.0129376	+	0.00746954i
$456$	4.27221	−	6.06189i	0.200064	−	0.283874i
$457$	−4.77156	+	2.75486i	−0.223204	+	0.128867i	−0.607433	−	0.794371i	$-0.707801\pi$
$457$	−4.77156	+	2.75486i	−0.223204	+	0.128867i	0.384229	+	0.923238i	$0.374467\pi$
$458$			2.10434i			0.0983291i
$459$	−0.653581	−	1.15635i	−0.0305066	−	0.0539739i
$460$	−1.05110			−0.0490079
$461$	5.65166	−	21.0923i	0.263224	−	0.982365i	−0.700105	−	0.714040i	$-0.746863\pi$
$461$	5.65166	−	21.0923i	0.263224	−	0.982365i	0.963329	−	0.268325i	$-0.0864700\pi$
$462$	−1.50104	+	2.12985i	−0.0698349	+	0.0990897i
$463$	−25.3071	−	14.6111i	−1.17612	−	0.679034i	−0.221008	−	0.975272i	$-0.570935\pi$
$463$	−25.3071	−	14.6111i	−1.17612	−	0.679034i	−0.955114	+	0.296238i	$0.904268\pi$
$464$	3.78232	+	4.55504i	0.175590	+	0.211462i
$465$	1.65509	−	1.38020i	0.0767527	−	0.0640051i
$466$	1.71557	−	6.40258i	0.0794721	−	0.296594i
$467$	25.2033	−	25.2033i	1.16627	−	1.16627i	0.183195	−	0.983077i	$-0.441356\pi$
$467$	25.2033	−	25.2033i	1.16627	−	1.16627i	0.983077	−	0.183195i	$-0.0586440\pi$
$468$	−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
$472$	4.76737	+	17.7921i	0.219436	+	0.818945i
$473$	−20.8314	+	36.0811i	−0.957829	+	1.65901i
$474$	6.10719	−	2.82518i	0.280513	−	0.129765i
$475$	2.18502	−	8.15459i	0.100255	−	0.374158i
$476$	−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
$479$	−5.34585	+	19.9510i	−0.244258	+	0.911584i	0.729497	+	0.683984i	$0.239754\pi$
$479$	−5.34585	+	19.9510i	−0.244258	+	0.911584i	−0.973755	+	0.227599i	$0.926912\pi$
$480$	0.873427	+	1.04738i	0.0398663	+	0.0478063i
$481$	−24.1023	+	6.45820i	−1.09897	+	0.294468i
$482$	19.0041	−	5.09213i	0.865613	−	0.231940i
$483$	−2.17791	+	3.09027i	−0.0990984	+	0.140612i
$484$	−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
$490$	0.173181	+	0.646320i	0.00782352	+	0.0291978i
$491$	2.22980	−	0.597473i	0.100629	−	0.0269636i	−0.208153	−	0.978096i	$-0.566745\pi$
$491$	2.22980	−	0.597473i	0.100629	−	0.0269636i	0.308782	+	0.951133i	$0.400079\pi$
$492$	−15.2939	−	18.3399i	−0.689503	−	0.826828i
$493$	0.795379	−	1.12356i	0.0358221	−	0.0506025i
$494$			7.12205i			0.320436i
$495$	1.83510	+	0.869396i	0.0824818	+	0.0390764i
$496$	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	$-0.224746\pi$
$499$	12.9444	+	7.47347i	0.579472	+	0.334558i	−0.181451	+	0.983400i	$0.558079\pi$
$500$	1.70885	+	0.986606i	0.0764221	+	0.0441223i
$501$	−37.5693	+	17.3795i	−1.67847	+	0.776458i
$502$	7.93352	−	4.58042i	0.354090	−	0.204434i
$503$	1.34444	+	1.34444i	0.0599456	+	0.0599456i	0.736444	−	0.676498i	$-0.236503\pi$
$503$	1.34444	+	1.34444i	0.0599456	+	0.0599456i	−0.676498	+	0.736444i	$0.736503\pi$
$504$	3.10140	−	0.252276i	0.138147	−	0.0112373i
$505$	−0.660030	+	0.660030i	−0.0293710	+	0.0293710i
$506$	9.74303	+	16.8754i	0.433130	+	0.750204i
$507$	3.17278	−	35.0335i	0.140908	−	1.55589i
$508$	3.17441	+	11.8471i	0.140842	+	0.525628i
$509$	−20.7248	−	11.9655i	−0.918612	−	0.530361i	−0.0354203	−	0.999373i	$-0.511277\pi$
$509$	−20.7248	−	11.9655i	−0.918612	−	0.530361i	−0.883192	+	0.469011i	$0.844610\pi$
$510$	0.0249824	−	0.0354478i	0.00110624	−	0.00156966i
$511$	−3.27957	−	0.878758i	−0.145080	−	0.0388740i
$512$	−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
$519$	−1.59598	+	17.6226i	−0.0700556	+	0.773548i
$520$	−1.89456	−	0.507646i	−0.0830820	−	0.0222617i
$521$	12.2048			0.534701			0.267351	−	0.963599i	$-0.413852\pi$
$521$	12.2048			0.534701			0.267351	+	0.963599i	$0.413852\pi$
$522$	2.91685	+	11.3973i	0.127667	+	0.498847i
$523$	26.7985			1.17182			0.585909	−	0.810377i	$-0.300737\pi$
$523$	26.7985			1.17182			0.585909	+	0.810377i	$0.300737\pi$
$524$	−22.0225	−	5.90090i	−0.962056	−	0.257782i
$525$	3.21488	−	1.48720i	0.140309	−	0.0649066i
$526$	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
$533$	52.2964	+	14.0128i	2.26521	+	0.606961i
$534$	−4.23978	−	0.383972i	−0.183473	−	0.0166161i
$535$	0.514089	+	0.296810i	0.0222260	+	0.0128322i
$536$	4.73760	+	17.6809i	0.204633	+	0.763701i
$537$	4.26988	+	3.00926i	0.184259	+	0.129859i
$538$	−0.110307	−	0.191057i	−0.00475567	−	0.00823707i
$539$	−24.3097	+	24.3097i	−1.04709	+	1.04709i
$540$	−0.256758	−	0.994561i	−0.0110491	−	0.0427991i
$541$	−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
$543$	18.3171	+	12.9092i	0.786062	+	0.553989i
$544$	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	0.671717	−	0.740807i	$-0.265557\pi$
$547$	−7.14970	−	12.3837i	−0.305699	−	0.529487i	−0.977417	+	0.211321i	$0.932224\pi$
$548$	23.5898	+	23.5898i	1.00771	+	1.00771i
$549$	20.9570	−	1.70470i	0.894424	−	0.0727549i
$550$		−	18.2572i		−	0.778490i
$551$	−7.44820	−	5.27266i	−0.317304	−	0.224623i
$552$	8.02551	−	21.8423i	0.341588	−	0.929671i
$553$	−2.11539	+	0.566818i	−0.0899557	+	0.0241036i
$554$	−0.702819	−	2.62296i	−0.0298599	−	0.111439i
$555$	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	$-0.554203\pi$
$557$	−7.99891			−0.338925			−0.169462	+	0.985537i	$0.554203\pi$
$558$	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
$561$	2.21908	+	0.200969i	0.0936897	+	0.00848492i
$562$	11.0302	−	2.95554i	0.465282	−	0.124672i
$563$	0.0978752	−	0.0262256i	0.00412495	−	0.00110528i	−0.256756	−	0.966476i	$-0.582654\pi$
$563$	0.0978752	−	0.0262256i	0.00412495	−	0.00110528i	0.260881	+	0.965371i	$0.415987\pi$
$564$	−4.88151	+	0.845393i	−0.205549	+	0.0355975i
$565$	−0.0935720	+	0.349215i	−0.00393660	+	0.0146916i
$566$	−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
$569$	5.86245	−	21.8790i	0.245767	−	0.917214i	−0.727230	−	0.686394i	$-0.759193\pi$
$569$	5.86245	−	21.8790i	0.245767	−	0.917214i	0.972997	−	0.230820i	$-0.0741407\pi$
$570$	−0.234988	−	0.165611i	−0.00984256	−	0.00693669i
$571$	−14.1185	+	24.4539i	−0.590840	+	1.02337i	0.403279	+	0.915077i	$0.367870\pi$
$571$	−14.1185	+	24.4539i	−0.590840	+	1.02337i	−0.994120	+	0.108288i	$0.965463\pi$
$572$	−11.0481	−	41.2322i	−0.461946	−	1.72401i
$573$	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	$0.374651\pi$
$578$	−3.19177	+	11.9118i	−0.132760	+	0.495467i
$579$	−13.9627	−	5.13031i	−0.580271	−	0.213209i
$580$	0.818993	−	0.680059i	0.0340068	−	0.0282379i
$581$	−1.38895	−	0.801911i	−0.0576234	−	0.0332689i
$582$	−5.14124	−	11.1138i	−0.213111	−	0.460683i
$583$	4.58420	−	17.1085i	0.189858	−	0.708560i
$584$	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	−0.394473	−	0.918908i	$-0.629073\pi$
$587$	4.94466	−	2.85480i	0.204088	−	0.117830i	0.598561	+	0.801077i	$0.295739\pi$
$588$	17.3194	+	1.56851i	0.714239	+	0.0646844i
$589$	−13.5756	−	7.83790i	−0.559375	−	0.322955i
$590$	0.689705	−	0.184806i	0.0283947	−	0.00760834i
$591$	11.7272	−	16.6399i	0.482394	−	0.684475i
$592$	4.59142	+	1.23027i	0.188706	+	0.0505637i
$593$	39.2364			1.61125			0.805624	−	0.592427i	$-0.201830\pi$
$593$	39.2364			1.61125			0.805624	+	0.592427i	$0.201830\pi$
$594$	−13.5877	+	13.3412i	−0.557508	+	0.547394i
$595$	−0.00998018	+	0.00998018i	−0.000409147	+	0.000409147i
$596$	8.44280	−	4.87446i	0.345831	−	0.199665i
$597$	10.9513	+	7.71809i	0.448207	+	0.315880i
$598$	5.78394	+	21.5860i	0.236523	+	0.882716i
$599$	−5.85659	−	21.8571i	−0.239294	−	0.893056i	−0.976166	−	0.217024i	$-0.930365\pi$
$599$	−5.85659	−	21.8571i	−0.239294	−	0.893056i	0.736872	−	0.676032i	$-0.236302\pi$
$600$	−16.7444	+	13.9634i	−0.683588	+	0.570053i
$601$	−10.5534	+	39.3859i	−0.430483	+	1.60659i	0.321166	+	0.947023i	$0.395925\pi$
$601$	−10.5534	+	39.3859i	−0.430483	+	1.60659i	−0.751649	+	0.659563i	$0.770741\pi$
$602$	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
$606$	−3.67505	−	7.94437i	−0.149289	−	0.322718i
$607$	2.15541	+	8.04409i	0.0874853	+	0.326500i	0.995773	−	0.0918460i	$-0.0292767\pi$
$607$	2.15541	+	8.04409i	0.0874853	+	0.326500i	−0.908288	+	0.418346i	$0.862610\pi$
$608$	4.96004	−	8.59104i	0.201156	−	0.348413i
$609$	−0.302418	−	3.81696i	−0.0122546	−	0.154671i
$610$	0.343241	+	0.594511i	0.0138974	+	0.0240711i
$611$	7.94235	−	7.94235i	0.321313	−	0.321313i
$612$	−0.640825	−	0.927185i	−0.0259038	−	0.0374792i
$613$		−	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
$617$	25.8098	−	6.91572i	1.03906	−	0.278416i	0.301338	−	0.953517i	$-0.402567\pi$
$617$	25.8098	−	6.91572i	1.03906	−	0.278416i	0.737725	+	0.675101i	$0.235900\pi$
$618$	−11.8696	+	2.05561i	−0.477466	+	0.0826888i
$619$	−24.2495	−	6.49763i	−0.974669	−	0.261162i	−0.263871	−	0.964558i	$-0.584999\pi$
$619$	−24.2495	−	6.49763i	−0.974669	−	0.261162i	−0.710798	+	0.703396i	$0.751666\pi$
$620$	1.29304	−	1.29304i	0.0519298	−	0.0519298i
$621$	−19.7148	+	19.3571i	−0.791126	+	0.776774i
$622$			6.64741i			0.266537i
$623$	1.33831	+	0.358600i	0.0536185	+	0.0143670i
$624$	−6.33131	+	8.98358i	−0.253455	+	0.359631i
$625$	−12.3645	+	21.4159i	−0.494579	+	0.856636i
$626$	−3.17819	−	11.8612i	−0.127026	−	0.474068i
$627$	1.33225	−	14.7106i	0.0532048	−	0.587483i
$628$	−6.35782	+	23.7277i	−0.253705	+	0.946839i
$629$		−	1.10519i		−	0.0440670i
$630$	−0.00977943	−	0.120225i	−0.000389622	−	0.00478988i
$631$			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
$635$	1.08420	−	0.290511i	0.0430252	−	0.0115286i
$636$	−8.13148	+	3.76161i	−0.322434	+	0.149157i
$637$	−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
$641$	26.2689	+	7.03873i	1.03756	+	0.278013i	0.737102	−	0.675782i	$-0.236194\pi$
$641$	26.2689	+	7.03873i	1.03756	+	0.278013i	0.300458	+	0.953795i	$0.402861\pi$
$642$	−4.27523	+	3.56517i	−0.168730	+	0.140706i
$643$	17.8360	+	10.2976i	0.703382	+	0.406098i	0.808606	−	0.588351i	$-0.200223\pi$
$643$	17.8360	+	10.2976i	0.703382	+	0.406098i	−0.105224	+	0.994449i	$0.533556\pi$
$644$	−1.60399	+	2.77819i	−0.0632061	+	0.109476i
$645$	−0.329114	−	1.90039i	−0.0129589	−	0.0748278i
$646$	−0.304700	−	0.0816440i	−0.0119882	−	0.00321224i
$647$	38.4494			1.51160			0.755802	−	0.654801i	$-0.227247\pi$
$647$	38.4494			1.51160			0.755802	+	0.654801i	$0.227247\pi$
$648$	22.6278	+	2.25827i	0.888903	+	0.0887131i
$649$	25.9415	+	25.9415i	1.01829	+	1.01829i
$650$	5.41919	−	20.2247i	0.212558	−	0.793277i
$651$	−1.12236	−	6.48079i	−0.0439887	−	0.254002i
$652$	6.86751	−	1.84014i	0.268952	−	0.0720655i
$653$	48.9315	−	13.1112i	1.91484	−	0.513079i	0.923146	−	0.384449i	$-0.125609\pi$
$653$	48.9315	−	13.1112i	1.91484	−	0.513079i	0.991693	−	0.128630i	$-0.0410580\pi$
$654$	18.7123	−	15.6045i	0.731710	−	0.610183i
$655$	−0.540031	+	2.01542i	−0.0211007	+	0.0787490i
$656$	−7.29293	−	7.29293i	−0.284741	−	0.284741i
$657$	−22.4237	−	10.6234i	−0.874833	−	0.414459i
$658$	−0.581777			−0.0226800
$659$	−21.8137	−	5.84496i	−0.849740	−	0.227687i	−0.192433	−	0.981310i	$-0.561638\pi$
$659$	−21.8137	−	5.84496i	−0.849740	−	0.227687i	−0.657307	+	0.753623i	$0.728305\pi$
$660$	1.61734	+	0.594259i	0.0629549	+	0.0231315i
$661$	3.42579	−	5.93364i	0.133248	−	0.230792i	−0.791679	−	0.610937i	$-0.790793\pi$
$661$	3.42579	−	5.93364i	0.133248	−	0.230792i	0.924927	+	0.380145i	$0.124126\pi$
$662$	9.85754	+	5.69125i	0.383124	+	0.221197i
$663$	2.39857	+	0.881304i	0.0931526	+	0.0342270i
$664$	9.53531	+	2.55498i	0.370042	+	0.0991524i
$665$	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
$669$	−1.80666	+	19.9490i	−0.0698496	+	0.771273i
$670$	0.685398	−	0.183652i	0.0264792	−	0.00709509i
$671$	−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	$-0.593755\pi$
$673$	10.2026	−	5.89045i	0.393279	−	0.227060i	0.683580	+	0.729875i	$0.260422\pi$
$674$		−	1.55559i		−	0.0599192i
$675$	25.0650	−	6.47083i	0.964751	−	0.249062i
$676$		−	29.8488i		−	1.14803i
$677$	0.227141	−	0.847704i	0.00872976	−	0.0325799i	−0.961424	−	0.275072i	$-0.911298\pi$
$677$	0.227141	−	0.847704i	0.00872976	−	0.0325799i	0.970153	+	0.242492i	$0.0779649\pi$
$678$	−2.77123	−	1.95307i	−0.106428	−	0.0750070i
$679$	1.03149	+	3.84958i	0.0395851	+	0.147733i
$680$	0.0434368	−	0.0752348i	0.00166573	−	0.00288512i
$681$	4.72219	+	0.427661i	0.180955	+	0.0163880i
$682$	−32.7454	−	8.77409i	−1.25388	−	0.335977i
$683$			11.0540i			0.422969i	0.977381	+	0.211484i	$0.0678298\pi$
$683$			11.0540i			0.422969i	−0.977381	+	0.211484i	$0.932170\pi$
$684$	−6.14642	+	4.24811i	−0.235014	+	0.162430i
$685$	2.15886	−	2.15886i	0.0824858	−	0.0824858i
$686$	3.99382	+	1.07014i	0.152485	+	0.0408581i
$687$	1.72620	−	4.69805i	0.0658588	−	0.179242i
$688$	8.79194	−	2.35579i	0.335190	−	0.0898138i
$689$	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	−0.975295	−	0.220907i	$-0.929098\pi$
$691$	−17.8477	−	30.9131i	−0.678959	−	1.17599i	0.296336	−	0.955084i	$-0.404235\pi$
$692$			15.0146i			0.570770i
$693$	5.09830	−	3.52370i	0.193669	−	0.133854i
$694$	−12.8251	+	12.8251i	−0.486834	+	0.486834i
$695$	0.0728632	+	0.126203i	0.00276386	+	0.00478714i
$696$	7.87861	+	22.2114i	0.298638	+	0.841923i
$697$	−1.19901	+	2.07674i	−0.0454156	+	0.0786622i
$698$	−0.807086	−	3.01209i	−0.0305487	−	0.114009i
$699$	−9.08220	+	12.8869i	−0.343520	+	0.487425i
$700$	2.60299	−	1.50284i	0.0983839	−	0.0568020i
$701$	−42.5329			−1.60645			−0.803223	−	0.595679i	$-0.796883\pi$
$701$	−42.5329			−1.60645			−0.803223	+	0.595679i	$0.796883\pi$
$702$	−19.0119	+	10.7457i	−0.717558	+	0.405571i
$703$	−7.32646			−0.276323
$704$	2.68846	−	10.0335i	0.101325	−	0.378150i
$705$	0.0773675	+	0.446739i	0.00291383	+	0.0168252i
$706$	−1.46542	−	5.46902i	−0.0551518	−	0.205829i
$707$	0.737330	+	2.75175i	0.0277301	+	0.103490i
$708$	1.67380	−	18.4819i	0.0629053	−	0.694594i
$709$	41.0875	−	23.7219i	1.54307	−	0.890893i	0.544430	−	0.838807i	$-0.316746\pi$
$709$	41.0875	−	23.7219i	1.54307	−	0.890893i	0.998643	−	0.0520866i	$-0.0165872\pi$
$710$	0.796008	−	0.796008i	0.0298736	−	0.0298736i
$711$	−15.9522	+	1.29759i	−0.598254	+	0.0486636i
$712$	−8.52804			−0.319602
$713$	−47.5113	−	12.7306i	−1.77931	−	0.476765i
$714$	−0.0555697	−	0.120125i	−0.00207964	−	0.00449557i
$715$	−3.77343	+	1.01109i	−0.141118	+	0.0378126i
$716$	3.83868	+	2.21626i	0.143458	+	0.0828257i
$717$	−11.7372	−	25.3724i	−0.438334	−	0.947549i
$718$	−2.25722	+	1.30321i	−0.0842388	+	0.0486353i
$719$			44.0286i			1.64199i	0.570935	+	0.820995i	$0.306581\pi$
$719$			44.0286i			1.64199i	−0.570935	+	0.820995i	$0.693419\pi$
$720$	−0.149184	−	0.417796i	−0.00555977	−	0.0155703i
$721$	3.92058			0.146010
$722$	3.03981	−	11.3447i	0.113130	−	0.422207i
$723$	−46.6049	−	4.22073i	−1.73325	−	0.156970i
$724$	16.4673	+	9.50742i	0.612004	+	0.353341i
$725$	17.1389	+	20.6403i	0.636522	+	0.766561i
$726$	−3.08332	−	17.8039i	−0.114433	−	0.660764i
$727$	−8.24024	+	30.7530i	−0.305613	+	1.14056i	0.626803	+	0.779178i	$0.284363\pi$
$727$	−8.24024	+	30.7530i	−0.305613	+	1.14056i	−0.932416	+	0.361387i	$0.882303\pi$
$728$	−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
$733$	−4.46065	−	16.6474i	−0.164758	−	0.614885i	−0.998071	−	0.0620834i	$-0.980226\pi$
$733$	−4.46065	−	16.6474i	−0.164758	−	0.614885i	0.833313	−	0.552801i	$-0.186441\pi$
$734$	9.60939	−	16.6440i	0.354689	−	0.614340i
$735$	0.143545	−	1.58501i	0.00529474	−	0.0584640i
$736$	8.05628	−	30.0664i	0.296958	−	1.10826i
$737$	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	$0.869554\pi$
$740$	0.221201	−	0.825535i	0.00813153	−	0.0303473i
$741$	5.84227	−	15.9004i	0.214621	−	0.584115i
$742$	−1.01626	+	0.272307i	−0.0373082	+	0.00999672i
$743$	−21.7081	+	5.81667i	−0.796393	+	0.213393i	−0.634000	−	0.773333i	$-0.718588\pi$
$743$	−21.7081	+	5.81667i	−0.796393	+	0.213393i	−0.162393	+	0.986726i	$0.551921\pi$
$744$	16.9971	+	36.7427i	0.623144	+	1.34705i
$745$	−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
$751$	9.74989	+	36.3871i	0.355779	+	1.32778i	0.879502	+	0.475896i	$0.157876\pi$
$751$	9.74989	+	36.3871i	0.355779	+	1.32778i	−0.523723	+	0.851889i	$0.675457\pi$
$752$	−2.06679	+	0.553795i	−0.0753681	+	0.0201948i
$753$	−21.4694	+	3.71813i	−0.782388	+	0.135496i
$754$	−18.4727	−	13.0770i	−0.672737	−	0.476238i
$755$		−	1.37039i		−	0.0498736i
$756$	−3.02056	−	0.839065i	−0.109857	−	0.0305165i
$757$	−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	0.568095	−	0.822963i	$-0.307681\pi$
$761$	3.84650	+	2.22078i	0.139435	+	0.0805030i	−0.428660	+	0.903466i	$0.641014\pi$
$762$	−0.949376	+	10.4829i	−0.0343922	+	0.379756i
$763$	−6.86741	+	3.96490i	−0.248617	+	0.143539i
$764$	13.6495	+	13.6495i	0.493823	+	0.493823i
$765$	−0.0848528	+	0.0586462i	−0.00306786	+	0.00212036i
$766$	−1.22641	+	1.22641i	−0.0443121	+	0.0443121i
$767$	21.0370	+	36.4372i	0.759603	+	1.31567i
$768$	−18.1715	+	8.40612i	−0.655709	+	0.303330i
$769$	−5.94471	−	22.1860i	−0.214372	−	0.800046i	−0.986387	−	0.164442i	$-0.947418\pi$
$769$	−5.94471	−	22.1860i	−0.214372	−	0.800046i	0.772015	−	0.635604i	$-0.219249\pi$
$770$	0.175233	+	0.101171i	0.00631496	+	0.00364594i
$771$	−7.69402	−	16.6322i	−0.277093	−	0.598994i
$772$	−12.1922	−	3.26689i	−0.438807	−	0.117578i
$773$	9.54911	−	9.54911i	0.343457	−	0.343457i	−0.514208	−	0.857665i	$-0.671914\pi$
$773$	9.54911	−	9.54911i	0.343457	−	0.343457i	0.857665	+	0.514208i	$0.171914\pi$
$774$	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
$780$	1.61524	+	1.13837i	0.0578349	+	0.0407600i
$781$	55.8685	+	14.9699i	1.99913	+	0.535666i
$782$	−0.989808			−0.0353955
$783$	2.83727	−	27.8379i	0.101396	−	0.994846i
$784$	7.51082			0.268243
$785$	2.17148	+	0.581846i	0.0775034	+	0.0207670i
$786$	−15.9936	−	11.2717i	−0.570472	−	0.402048i
$787$	−8.78383	−	5.07135i	−0.313110	−	0.180774i	0.335207	−	0.942144i	$-0.391194\pi$
$787$	−8.78383	−	5.07135i	−0.313110	−	0.180774i	−0.648317	+	0.761370i	$0.724527\pi$
$788$	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
$794$	−11.1432	−	2.98580i	−0.395456	−	0.105962i
$795$	0.344249	+	0.744165i	0.0122093	+	0.0263928i
$796$	9.84538	+	5.68423i	0.348960	+	0.201472i
$797$	6.07178	+	22.6602i	0.215074	+	0.802666i	0.986141	+	0.165912i	$0.0530566\pi$
$797$	6.07178	+	22.6602i	0.215074	+	0.802666i	−0.771067	+	0.636754i	$0.780277\pi$
$798$	−0.796324	+	0.368378i	−0.0281896	+	0.0130404i
$799$	0.248747	+	0.430842i	0.00880003	+	0.0152421i
$800$	−20.6221	+	20.6221i	−0.729103	+	0.729103i
$801$	9.15059	+	4.33517i	0.323320	+	0.153176i
$802$	−10.9859	−	10.9859i	−0.387927	−	0.387927i
$803$	36.0468	−	20.8116i	1.27206	−	0.734426i
$804$	1.66335	−	18.3665i	0.0586618	−	0.647738i
$805$	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	$-0.923697\pi$
$809$	−34.3827	−	34.3827i	−1.20883	−	1.20883i	−0.237425	−	0.971406i	$-0.576303\pi$
$810$	0.0875412	−	0.877161i	0.00307589	−	0.0308203i
$811$			34.6580i			1.21701i	0.793551	+	0.608503i	$0.208230\pi$
$811$			34.6580i			1.21701i	−0.793551	+	0.608503i	$0.791770\pi$
$812$	−0.547691	−	3.20247i	−0.0192202	−	0.112385i
$813$	6.81828	−	1.18081i	0.239128	−	0.0414127i
$814$	−15.3043	+	4.10078i	−0.536416	+	0.143732i
$815$	−0.168404	−	0.628491i	−0.00589892	−	0.0220151i
$816$	−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	−0.966864	−	0.255292i	$-0.917828\pi$
$821$	−20.1867	−	34.9644i	−0.704521	−	1.22027i	0.262343	−	0.964975i	$-0.415505\pi$
$822$	12.0206	+	25.9849i	0.419265	+	0.906326i
$823$	−51.2893	+	13.7429i	−1.78783	+	0.479048i	−0.991975	−	0.126437i	$-0.959646\pi$
$823$	−51.2893	+	13.7429i	−1.78783	+	0.479048i	−0.795857	+	0.605485i	$0.792979\pi$
$824$	−23.3093	+	6.24571i	−0.812018	+	0.217580i
$825$	−14.9765	+	40.7603i	−0.521416	+	1.41909i
$826$	0.564030	−	2.10499i	0.0196251	−	0.0732420i
$827$	23.4939	+	23.4939i	0.816963	+	0.816963i	0.985667	−	0.168704i	$-0.0539581\pi$
$827$	23.4939	+	23.4939i	0.816963	+	0.816963i	−0.168704	+	0.985667i	$0.553958\pi$
$828$	−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	$0.836402\pi$
$830$	0.0990432	−	0.369634i	0.00343784	−	0.0128302i
$831$	−0.582547	+	6.43243i	−0.0202083	+	0.223139i
$832$	5.95635	−	10.3167i	0.206499	−	0.357667i
$833$	−0.451979	−	1.68681i	−0.0156601	−	0.0584445i
$834$	−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
$839$	−3.98306	+	14.8650i	−0.137510	+	0.513196i	0.862465	+	0.506117i	$0.168920\pi$
$839$	−3.98306	+	14.8650i	−0.137510	+	0.513196i	−0.999975	+	0.00707826i	$0.997747\pi$
$840$	−0.0412331	−	0.238090i	−0.00142268	−	0.00821489i
$841$	27.3518	−	9.63736i	0.943166	−	0.332323i
$842$	21.0719	+	12.1659i	0.726186	+	0.419264i
$843$	−27.0501	−	2.44977i	−0.931655	−	0.0843744i
$844$	4.65260	−	17.3638i	0.160149	−	0.597685i
$845$	−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
$849$	19.8032	+	42.8087i	0.679644	+	1.46919i
$850$	0.803142	+	0.463694i	0.0275475	+	0.0159046i
$851$	−22.2055	+	5.94995i	−0.761195	+	0.203962i
$852$	−12.2837	−	26.5537i	−0.420833	−	0.909715i
$853$	0.706397	+	0.189278i	0.0241866	+	0.00648077i	0.270892	−	0.962610i	$-0.412681\pi$
$853$	0.706397	+	0.189278i	0.0241866	+	0.00648077i	−0.246705	+	0.969091i	$0.579348\pi$
$854$	2.09515			0.0716947
$855$	0.388772	+	0.562499i	0.0132957	+	0.0192371i
$856$	−7.88523	+	7.88523i	−0.269512	+	0.269512i
$857$	−27.7098	+	15.9983i	−0.946550	+	0.546491i	−0.892008	−	0.452020i	$-0.850703\pi$
$857$	−27.7098	+	15.9983i	−0.946550	+	0.546491i	−0.0545427	+	0.998511i	$0.517370\pi$
$858$	3.30419	−	36.4845i	0.112803	−	1.24556i
$859$	−8.62262	−	32.1801i	−0.294200	−	1.09797i	−0.941851	−	0.336032i	$-0.890915\pi$
$859$	−8.62262	−	32.1801i	−0.294200	−	1.09797i	0.647650	−	0.761938i	$-0.275752\pi$
$860$	−0.423570	−	1.58079i	−0.0144436	−	0.0539043i
$861$	1.13818	+	6.57211i	0.0387889	+	0.223977i
$862$	−5.60506	+	20.9184i	−0.190909	+	0.712482i
$863$	3.48267			0.118551			0.0592757	−	0.998242i	$-0.481121\pi$
$863$	3.48267			0.118551			0.0592757	+	0.998242i	$0.481121\pi$
$864$	30.4170	+	0.278434i	1.03481	+	0.00947251i
$865$	1.37409			0.0467203
$866$	24.7675	−	14.2995i	0.841635	−	0.485918i
$867$	16.8972	−	23.9757i	0.573859	−	0.814256i
$868$	−1.44448	−	5.39086i	−0.0490287	−	0.182978i
$869$	13.4240	−	23.2510i	0.455376	−	0.788735i
$870$	0.861022	−	0.305413i	0.0291914	−	0.0103545i
$871$	20.9056	+	36.2096i	0.708361	+	1.22692i
$872$	34.5130	−	34.5130i	1.16876	−	1.16876i
$873$	2.36136	+	29.0297i	0.0799198	+	0.982506i
$874$			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	0.329861	+	0.944029i	$0.392998\pi$
$877$	−19.3269	+	33.4752i	−0.652623	+	1.13038i	−0.982484	+	0.186346i	$0.940335\pi$
$878$	−0.478568	+	0.128232i	−0.0161509	+	0.00432762i
$879$	−8.37762	+	22.8006i	−0.282570	+	0.769046i
$880$	0.718828	+	0.192609i	0.0242317	+	0.00649286i
$881$	1.89073	−	1.89073i	0.0637003	−	0.0637003i	−0.674539	−	0.738239i	$-0.735658\pi$
$881$	1.89073	−	1.89073i	0.0637003	−	0.0637003i	0.738239	+	0.674539i	$0.235658\pi$
$882$	13.4873	+	6.38973i	0.454141	+	0.215153i
$883$		−	17.5981i		−	0.592224i	−0.955153	−	0.296112i	$-0.904310\pi$
$883$		−	17.5981i		−	0.592224i	0.955153	−	0.296112i	$-0.0956902\pi$
$884$	2.09442	+	0.561198i	0.0704430	+	0.0188751i
$885$	−1.69140	−	0.153180i	−0.0568560	−	0.00514911i
$886$	11.9260	−	20.6565i	0.400663	−	0.693969i
$887$	5.65140	+	21.0913i	0.189755	+	0.708177i	0.993562	+	0.113287i	$0.0361378\pi$
$887$	5.65140	+	21.0913i	0.189755	+	0.708177i	−0.803807	+	0.594890i	$0.797196\pi$
$888$	15.4660	+	10.8999i	0.519004	+	0.365776i
$889$	0.886644	−	3.30900i	0.0297371	−	0.110980i
$890$			0.330588i			0.0110813i
$891$	41.2791	−	18.6388i	1.38290	−	0.624425i
$892$			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
$896$	4.04641	−	1.08423i	0.135181	−	0.0362216i
$897$	4.79415	−	52.9365i	0.160072	−	1.76750i
$898$	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
$902$	33.2068	+	8.89774i	1.10567	+	0.296262i
$903$	−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
$907$	−41.2699	−	11.0582i	−1.37035	−	0.367183i	−0.502740	−	0.864437i	$-0.667675\pi$
$907$	−41.2699	−	11.0582i	−1.37035	−	0.367183i	−0.867605	+	0.497255i	$0.834342\pi$
$908$	4.02334			0.133519
$909$	1.68794	+	20.7510i	0.0559854	+	0.688266i
$910$	0.164087	+	0.164087i	0.00543943	+	0.00543943i
$911$	4.81928	−	17.9858i	0.159670	−	0.595896i	−0.838990	−	0.544146i	$-0.816854\pi$
$911$	4.81928	−	17.9858i	0.159670	−	0.595896i	0.998660	−	0.0517494i	$-0.0164797\pi$
$912$	−2.47832	+	2.06670i	−0.0820654	+	0.0684354i
$913$	18.9917	−	5.08880i	0.628532	−	0.168415i
$914$	−3.87554	+	1.03845i	−0.128192	+	0.0343488i
$915$	−0.278624	−	1.60884i	−0.00921102	−	0.0531868i
$916$	1.09921	−	4.10232i	0.0363191	−	0.135545i
$917$	4.50292	+	4.50292i	0.148699	+	0.148699i
$918$	−0.241785	−	0.936563i	−0.00798010	−	0.0309112i
$919$	21.7633			0.717903			0.358952	−	0.933356i	$-0.383134\pi$
$919$	21.7633			0.717903			0.358952	+	0.933356i	$0.383134\pi$
$920$	−1.74546	−	0.467695i	−0.0575462	−	0.0154195i
$921$	−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
$925$	20.8052	+	5.57473i	0.684070	+	0.183296i
$926$	−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	−0.572733	+	0.819742i	$0.694117\pi$
$929$	−47.8228	+	27.6105i	−1.56902	+	0.905872i	−0.996284	+	0.0861300i	$0.972550\pi$
$930$	1.42432	−	0.658889i	0.0467053	−	0.0216058i
$931$	−11.1821	+	2.99622i	−0.366477	+	0.0981972i
$932$	−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
$936$	−35.9885	+	24.8735i	−1.17632	+	0.813017i
$937$		−	18.1094i		−	0.591610i	−0.955248	−	0.295805i	$-0.904412\pi$
$937$		−	18.1094i		−	0.591610i	0.955248	−	0.295805i	$-0.0955878\pi$
$938$	0.560508	−	2.09185i	0.0183012	−	0.0683012i
$939$	−2.63432	+	29.0879i	−0.0859677	+	0.949247i
$940$	0.0995719	+	0.371607i	0.00324768	+	0.0121205i
$941$	−19.3357	+	33.4904i	−0.630326	+	1.09176i	0.357158	+	0.934044i	$0.383746\pi$
$941$	−19.3357	+	33.4904i	−0.630326	+	1.09176i	−0.987485	+	0.157714i	$0.949588\pi$
$942$	−12.1445	+	17.2320i	−0.395689	+	0.561448i
$943$	48.1808	+	12.9100i	1.56898	+	0.420408i
$944$		−	8.01499i		−	0.260866i
$945$	−0.0767883	+	0.276431i	−0.00249793	+	0.00899232i
$946$	−21.4532	+	21.4532i	−0.697505	+	0.697505i
$947$	22.5319	+	6.03740i	0.732188	+	0.196189i	0.605603	−	0.795767i	$-0.292932\pi$
$947$	22.5319	+	6.03740i	0.732188	+	0.196189i	0.126584	+	0.991956i	$0.459599\pi$
$948$	−13.3815	+	2.31744i	−0.434611	+	0.0752670i
$949$	46.1088	−	12.3548i	1.49675	−	0.401054i
$950$	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	$-0.769445\pi$
$953$		−	40.9109i		−	1.32524i	0.748958	−	0.662618i	$-0.230555\pi$
$954$	−7.66365	+	0.623382i	−0.248120	+	0.0201827i
$955$	1.24916	−	1.24916i	0.0404218	−	0.0404218i
$956$	−11.8607	−	20.5433i	−0.383602	−	0.664418i
$957$	35.7091	+	30.4661i	1.15431	+	0.984828i
$958$	−7.52055	+	13.0260i	−0.242978	+	0.420850i
$959$	−2.41170	−	9.00057i	−0.0778777	−	0.290644i
$960$	0.201889	+	0.436424i	0.00651594	+	0.0140855i
$961$	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
$965$	−0.298975	+	1.11579i	−0.00962433	+	0.0359185i
$966$	−2.11438	+	1.76321i	−0.0680292	+	0.0567305i
$967$	3.49582	+	13.0466i	0.112418	+	0.419549i	0.999081	−	0.0428672i	$-0.0136492\pi$
$967$	3.49582	+	13.0466i	0.112418	+	0.419549i	−0.886663	+	0.462416i	$0.846983\pi$
$968$	−9.36827	−	34.9629i	−0.301108	−	1.12375i
$969$	0.613287	+	0.432223i	0.0197016	+	0.0138850i
$970$	−0.823517	+	0.475458i	−0.0264415	+	0.0152660i
$971$	−26.0270	+	26.0270i	−0.835246	+	0.835246i	−0.988229	−	0.152983i	$-0.951112\pi$
$971$	−26.0270	+	26.0270i	−0.835246	+	0.835246i	0.152983	+	0.988229i	$0.451112\pi$
$972$	−20.6138	−	9.99800i	−0.661187	−	0.320686i
$973$	0.444759			0.0142583
$974$	−7.11389	−	1.90616i	−0.227944	−	0.0610774i
$975$	−28.6891	+	40.7074i	−0.918788	+	1.30368i
$976$	7.44314	−	1.99438i	0.238249	−	0.0638387i
$977$	−17.4258	−	10.0608i	−0.557501	−	0.321873i	0.194641	−	0.980875i	$-0.437646\pi$
$977$	−17.4258	−	10.0608i	−0.557501	−	0.321873i	−0.752142	+	0.659001i	$0.770979\pi$
$978$	6.07674	+	0.550335i	0.194313	+	0.0175978i
$979$	−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
$983$	−12.3925	+	46.2494i	−0.395259	+	1.47513i	0.426080	+	0.904686i	$0.359894\pi$
$983$	−12.3925	+	46.2494i	−0.395259	+	1.47513i	−0.821339	+	0.570441i	$0.806772\pi$
$984$	−17.2366	−	37.2604i	−0.549483	−	1.18782i
$985$	−1.36904	−	0.790418i	−0.0436214	−	0.0251848i
$986$	0.771233	−	0.640402i	0.0245611	−	0.0203945i
$987$	1.29885	+	0.477236i	0.0413429	+	0.0151906i
$988$	3.72025	−	13.8842i	0.118357	−	0.441714i
$989$	−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
$994$	−0.889232	−	3.31866i	−0.0282047	−	0.105262i
$995$	0.520201	−	0.901015i	0.0164915	−	0.0285641i
$996$	−8.12950	−	5.72938i	−0.257593	−	0.181542i
$997$	−4.95992	+	18.5107i	−0.157082	+	0.586239i	0.841836	+	0.539734i	$0.181475\pi$
$997$	−4.95992	+	18.5107i	−0.157082	+	0.586239i	−0.998918	+	0.0465054i	$0.985192\pi$
$998$	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.41.18	✓	112
3.2	odd	2		783.2.m.a.476.11		112
9.2	odd	6	inner	261.2.l.a.128.18	yes	112
9.7	even	3		783.2.m.a.737.11		112
29.17	odd	4	inner	261.2.l.a.104.18	yes	112
87.17	even	4		783.2.m.a.17.11		112
261.133	odd	12		783.2.m.a.278.11		112
261.191	even	12	inner	261.2.l.a.191.18	yes	112

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
261.2.l.a.41.18	✓	112	1.1	even	1	trivial
261.2.l.a.104.18	yes	112	29.17	odd	4	inner
261.2.l.a.128.18	yes	112	9.2	odd	6	inner
261.2.l.a.191.18	yes	112	261.191	even	12	inner
783.2.m.a.17.11		112	87.17	even	4
783.2.m.a.278.11		112	261.133	odd	12
783.2.m.a.476.11		112	3.2	odd	2
783.2.m.a.737.11		112	9.7	even	3

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)

\(f(q)\)	\(=\)	\(q+(0.703401 + 0.188476i) q^{2} +(-1.41578 - 0.997788i) q^{3} +(-1.27280 - 0.734852i) q^{4} +(-0.0672512 + 0.116482i) q^{5} +(-0.807798 - 0.968684i) q^{6} +(0.205252 + 0.355506i) q^{7} +(-1.78664 - 1.78664i) q^{8} +(1.00884 + 2.82529i) q^{9} +O(q^{10})\)	\(q+(0.703401 + 0.188476i) q^{2} +(-1.41578 - 0.997788i) 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} +(-4.86097 - 1.30249i) q^{11} +(1.06877 + 2.31037i) q^{12} +(-4.99820 - 2.88571i) q^{13} +(0.0773698 + 0.288748i) q^{14} +(0.211437 - 0.0978105i) q^{15} +(0.549721 + 0.952144i) q^{16} +(0.180756 - 0.180756i) q^{17} +(0.177120 + 2.17745i) q^{18} +(-1.19825 - 1.19825i) q^{19} +(0.171195 - 0.0988394i) q^{20} +(0.0641297 - 0.708115i) 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} +(1.39075 - 5.00658i) q^{27} -0.603319i q^{28} +(5.30810 - 0.907798i) q^{29} +(0.167160 - 0.0289492i) q^{30} +(8.93534 - 2.39422i) q^{31} +(1.51513 + 5.65453i) 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} +(4.19700 + 9.07267i) q^{39} +(0.328265 - 0.0879584i) q^{40} +(-9.06126 + 2.42796i) q^{41} +(0.178571 - 0.486001i) q^{42} +(2.14272 - 7.99674i) q^{43} +(5.22992 + 5.22992i) q^{44} +(-0.396942 - 0.0724919i) q^{45} +(-2.73797 - 2.73797i) q^{46} +(-0.503706 + 1.87986i) q^{47} +(0.171757 - 1.89653i) q^{48} +(3.41574 - 5.91624i) q^{49} +(0.938968 + 3.50428i) 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} +(0.268451 - 1.00187i) q^{56} +(0.500853 + 2.89205i) q^{57} +(3.90482 + 0.361901i) q^{58} +(-6.31337 - 3.64503i) q^{59} +(-0.340994 - 0.0308818i) q^{60} +(1.81400 - 6.76993i) q^{61} +6.73638 q^{62} +(-0.797341 + 0.938543i) q^{63} +2.06408i q^{64} +(0.672270 - 0.388135i) q^{65} +(2.66498 + 5.76090i) q^{66} +(-6.27395 - 3.62227i) q^{67} +(-0.362895 + 0.0972373i) q^{68} +(3.86671 + 8.35867i) q^{69} +(-0.0388373 - 0.0104064i) q^{70} -11.4933 q^{71} +(3.24533 - 6.85019i) q^{72} +(-5.84846 + 5.84846i) q^{73} +(2.72660 - 1.57420i) q^{74} +(0.778285 - 8.59375i) q^{75} +(0.644598 + 2.40567i) q^{76} +(-0.534678 - 1.99545i) q^{77} +(1.24220 + 7.17275i) q^{78} +(-1.38079 + 5.15317i) q^{79} -0.147877 q^{80} +(-6.96449 + 5.70051i) q^{81} -6.83131 q^{82} +(-3.38353 + 1.95348i) q^{83} +(-0.601984 + 0.854163i) q^{84} +(0.00889883 + 0.0332109i) q^{85} +(3.01438 - 5.22106i) q^{86} +(-8.42086 - 4.01112i) q^{87} +(6.35771 + 11.0119i) q^{88} +(2.38662 - 2.38662i) q^{89} +(-0.265546 - 0.125805i) q^{90} -2.36919i q^{91} +(3.90738 + 6.76778i) q^{92} +(-15.0394 - 5.52590i) q^{93} +(-0.708614 + 1.22736i) q^{94} +(0.220159 - 0.0589914i) q^{95} +(3.49694 - 9.51732i) q^{96} +(9.37772 + 2.51275i) q^{97} +(3.51770 - 3.51770i) q^{98} +(-1.22402 - 15.0477i) 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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