LMFDB - Embedded newform 483.2.bc.a.11.20

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [483,2,Mod(11,483)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("483.11"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(483, base_ring=CyclotomicField(66)) chi = DirichletCharacter(H, H._module([33, 44, 27])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 483 = 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	483.bc (of order $66$, degree $20$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

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

Self dual:	no
Analytic conductor:	$3.85677441763$
Analytic rank:	$0$
Dimension:	$1200$
Relative dimension:	$60$ over $\Q(\zeta_{66})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label			11.20
Character	$\chi$	$=$	483.11
Dual form			483.2.bc.a.44.20

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.522802 + 1.01409i) q^{2} +(-1.07403 + 1.35885i) q^{3} +(0.405048 + 0.568811i) q^{4} +(2.77635 + 2.64725i) q^{5} +(-0.816498 - 1.79957i) q^{6} +(-2.48243 + 0.915168i) q^{7} +(-3.04721 + 0.438123i) q^{8} +(-0.692939 - 2.91888i) q^{9} +(-4.13604 + 1.43150i) q^{10} +(-2.99387 + 1.54345i) q^{11} +(-1.20796 - 0.0605178i) q^{12} +(1.40922 - 1.62632i) q^{13} +(0.369753 - 2.99587i) q^{14} +(-6.57908 + 0.929432i) q^{15} +(0.692013 - 1.99944i) q^{16} +(4.62654 + 0.441781i) q^{17} +(3.32229 + 0.823288i) q^{18} +(0.0306637 + 0.321125i) q^{19} +(-0.381226 + 2.65148i) q^{20} +(1.42262 - 4.35616i) q^{21} -3.84299i q^{22} +(4.75891 + 0.593957i) q^{23} +(2.67744 - 4.61125i) q^{24} +(0.462308 + 9.70504i) q^{25} +(0.912504 + 2.27933i) q^{26} +(4.71054 + 2.19335i) q^{27} +(-1.52606 - 1.04135i) q^{28} +(-4.21675 + 1.92573i) q^{29} +(2.49702 - 7.15772i) q^{30} +(-3.62554 - 1.45145i) q^{31} +(-2.58305 - 2.70902i) q^{32} +(1.11818 - 5.72592i) q^{33} +(-2.86677 + 4.46079i) q^{34} +(-9.31478 - 4.03078i) q^{35} +(1.37961 - 1.57644i) q^{36} +(5.17445 - 1.25531i) q^{37} +(-0.341682 - 0.136789i) q^{38} +(0.696393 + 3.66163i) q^{39} +(-9.61995 - 6.85034i) q^{40} +(-2.18644 - 7.44635i) q^{41} +(3.67381 + 3.72008i) q^{42} +(10.8091 + 1.55411i) q^{43} +(-2.09059 - 1.07778i) q^{44} +(5.80314 - 9.93821i) q^{45} +(-3.09030 + 4.51546i) q^{46} +(-5.32643 + 3.07521i) q^{47} +(1.97370 + 3.08779i) q^{48} +(5.32493 - 4.54369i) q^{49} +(-10.0835 - 4.60499i) q^{50} +(-5.56934 + 5.81229i) q^{51} +(1.49587 + 0.142838i) q^{52} +(-5.15352 + 0.993259i) q^{53} +(-4.68694 + 3.63025i) q^{54} +(-12.3979 - 3.64036i) q^{55} +(7.16354 - 3.87632i) q^{56} +(-0.469294 - 0.303229i) q^{57} +(0.251658 - 5.28296i) q^{58} +(-12.6284 + 4.37072i) q^{59} +(-3.19352 - 3.36579i) q^{60} +(1.90983 + 2.42855i) q^{61} +(3.36734 - 2.91782i) q^{62} +(4.39144 + 6.61175i) q^{63} +(8.15783 - 2.39535i) q^{64} +(8.21776 - 0.784701i) q^{65} +(5.22204 + 4.12747i) q^{66} +(-3.31724 + 0.158020i) q^{67} +(1.62268 + 2.81057i) q^{68} +(-5.91829 + 5.82871i) q^{69} +(8.95737 - 7.33877i) q^{70} +(5.15089 + 8.01494i) q^{71} +(3.39036 + 8.59084i) q^{72} +(2.57589 + 3.61734i) q^{73} +(-1.43221 + 5.90366i) q^{74} +(-13.6842 - 9.79525i) q^{75} +(-0.170239 + 0.147513i) q^{76} +(6.01957 - 6.57141i) q^{77} +(-4.07731 - 1.20810i) q^{78} +(-0.282634 + 1.46644i) q^{79} +(7.21428 - 3.71922i) q^{80} +(-8.03967 + 4.04521i) q^{81} +(8.69437 + 1.67570i) q^{82} +(5.43352 + 1.59543i) q^{83} +(3.05406 - 0.955256i) q^{84} +(11.6754 + 13.4741i) q^{85} +(-7.22701 + 10.1489i) q^{86} +(1.91213 - 7.79821i) q^{87} +(8.44675 - 6.01490i) q^{88} +(-2.74930 + 1.10066i) q^{89} +(7.04439 + 11.0806i) q^{90} +(-2.00993 + 5.32691i) q^{91} +(1.58974 + 2.94750i) q^{92} +(5.86622 - 3.36767i) q^{93} +(-0.333891 - 7.00923i) q^{94} +(-0.764963 + 0.972730i) q^{95} +(6.45540 - 0.600411i) q^{96} +(2.34071 + 7.97173i) q^{97} +(1.82384 + 7.77543i) q^{98} +(6.57971 + 7.66923i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1200 q - 9 q^{3} - 74 q^{4} - 20 q^{6} - 44 q^{7} - 13 q^{9} - 22 q^{10} - 25 q^{12} - 72 q^{13} - 44 q^{15} + 38 q^{16} - 45 q^{18} - 22 q^{19} + 44 q^{21} + 2 q^{24} + 18 q^{25} - 90 q^{27} - 44 q^{28}+ \cdots - 308 q^{99}+O(q^{100}) $ 1200 * q - 9 * q^3 - 74 * q^4 - 20 * q^6 - 44 * q^7 - 13 * q^9 - 22 * q^10 - 25 * q^12 - 72 * q^13 - 44 * q^15 + 38 * q^16 - 45 * q^18 - 22 * q^19 + 44 * q^21 + 2 * q^24 + 18 * q^25 - 90 * q^27 - 44 * q^28 - 55 * q^30 - 18 * q^31 - 11 * q^33 - 88 * q^34 - 108 * q^36 - 66 * q^37 + q^39 - 22 * q^40 - 22 * q^42 - 2 * q^46 - 228 * q^48 - 128 * q^49 - 11 * q^51 - 166 * q^52 + 35 * q^54 - 160 * q^55 - 44 * q^57 - 126 * q^58 - 11 * q^60 + 66 * q^61 + 33 * q^63 + 40 * q^64 + 22 * q^66 - 22 * q^67 - 24 * q^69 + 68 * q^70 - 149 * q^72 - 42 * q^73 + 123 * q^75 - 88 * q^76 - 108 * q^78 - 66 * q^79 - 81 * q^81 - 14 * q^82 + 44 * q^84 - 200 * q^85 + 75 * q^87 + 66 * q^88 + 16 * q^93 - 146 * q^94 + 5 * q^96 - 88 * q^97 - 308 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/483\mathbb{Z}\right)^\times$.

$n$	$323$	$346$	$442$
$\chi(n)$	$-1$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{9}{22}\right)$

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 $

$2$	−0.522802	+	1.01409i	−0.369677	+	0.717073i	−0.998153	−	0.0607561i	$-0.980649\pi$
$2$	−0.522802	+	1.01409i	−0.369677	+	0.717073i	0.628476	+	0.777829i	$0.283679\pi$
$3$	−1.07403	+	1.35885i	−0.620089	+	0.784532i
$3$	−1.07403	+	1.35885i	−0.620089	+	0.784532i
$4$	0.405048	+	0.568811i	0.202524	+	0.284405i
$5$	2.77635	+	2.64725i	1.24162	+	1.18388i	0.975513	+	0.219941i	$0.0705866\pi$
$5$	2.77635	+	2.64725i	1.24162	+	1.18388i	0.266109	+	0.963943i	$0.414262\pi$
$6$	−0.816498	−	1.79957i	−0.333334	−	0.734672i
$7$	−2.48243	+	0.915168i	−0.938271	+	0.345901i
$7$	−2.48243	+	0.915168i	−0.938271	+	0.345901i
$8$	−3.04721	+	0.438123i	−1.07735	+	0.154900i
$9$	−0.692939	−	2.91888i	−0.230980	−	0.972959i
$10$	−4.13604	+	1.43150i	−1.30793	+	0.452679i
$11$	−2.99387	+	1.54345i	−0.902687	+	0.465367i	−0.846096	−	0.533030i	$-0.821053\pi$
$11$	−2.99387	+	1.54345i	−0.902687	+	0.465367i	−0.0565906	+	0.998397i	$0.518023\pi$
$12$	−1.20796	−	0.0605178i	−0.348708	−	0.0174700i
$13$	1.40922	−	1.62632i	0.390847	−	0.451061i	−0.525890	−	0.850552i	$-0.676268\pi$
$13$	1.40922	−	1.62632i	0.390847	−	0.451061i	0.916737	+	0.399491i	$0.130813\pi$
$14$	0.369753	−	2.99587i	0.0988206	−	0.800680i
$15$	−6.57908	+	0.929432i	−1.69871	+	0.239978i
$16$	0.692013	−	1.99944i	0.173003	−	0.499860i
$17$	4.62654	+	0.441781i	1.12210	+	0.107148i	0.639572	−	0.768732i	$-0.279112\pi$
$17$	4.62654	+	0.441781i	1.12210	+	0.107148i	0.482530	+	0.875879i	$0.339718\pi$
$18$	3.32229	+	0.823288i	0.783070	+	0.194051i
$19$	0.0306637	+	0.321125i	0.00703474	+	0.0736711i	0.998308	−	0.0581554i	$-0.0185219\pi$
$19$	0.0306637	+	0.321125i	0.00703474	+	0.0736711i	−0.991273	+	0.131827i	$0.957916\pi$
$20$	−0.381226	+	2.65148i	−0.0852446	+	0.592889i
$21$	1.42262	−	4.35616i	0.310441	−	0.950593i
$22$		−	3.84299i		−	0.819328i
$23$	4.75891	+	0.593957i	0.992301	+	0.123849i
$23$	4.75891	+	0.593957i	0.992301	+	0.123849i
$24$	2.67744	−	4.61125i	0.546530	−	0.941268i
$25$	0.462308	+	9.70504i	0.0924616	+	1.94101i
$26$	0.912504	+	2.27933i	0.178957	+	0.447013i
$27$	4.71054	+	2.19335i	0.906545	+	0.422110i
$28$	−1.52606	−	1.04135i	−0.288399	−	0.196796i
$29$	−4.21675	+	1.92573i	−0.783032	+	0.357599i	−0.766483	−	0.642265i	$-0.777995\pi$
$29$	−4.21675	+	1.92573i	−0.783032	+	0.357599i	−0.0165485	+	0.999863i	$0.505268\pi$
$30$	2.49702	−	7.15772i	0.455892	−	1.30681i
$31$	−3.62554	−	1.45145i	−0.651166	−	0.260688i	0.0224736	−	0.999747i	$-0.492846\pi$
$31$	−3.62554	−	1.45145i	−0.651166	−	0.260688i	−0.673640	+	0.739060i	$0.735270\pi$
$32$	−2.58305	−	2.70902i	−0.456622	−	0.478892i
$33$	1.11818	−	5.72592i	0.194651	−	0.996756i
$34$	−2.86677	+	4.46079i	−0.491648	+	0.765019i
$35$	−9.31478	−	4.03078i	−1.57449	−	0.681326i
$36$	1.37961	−	1.57644i	0.229936	−	0.262740i
$37$	5.17445	−	1.25531i	0.850674	−	0.206371i	0.213358	−	0.976974i	$-0.431560\pi$
$37$	5.17445	−	1.25531i	0.850674	−	0.206371i	0.637316	+	0.770603i	$0.280045\pi$
$38$	−0.341682	−	0.136789i	−0.0554281	−	0.0221901i
$39$	0.696393	+	3.66163i	0.111512	+	0.586330i
$40$	−9.61995	−	6.85034i	−1.52105	−	1.08313i
$41$	−2.18644	−	7.44635i	−0.341465	−	1.16292i	−0.933968	−	0.357356i	$-0.883678\pi$
$41$	−2.18644	−	7.44635i	−0.341465	−	1.16292i	0.592503	−	0.805568i	$-0.298140\pi$
$42$	3.67381	+	3.72008i	0.566882	+	0.574021i
$43$	10.8091	+	1.55411i	1.64837	+	0.236999i	0.902995	−	0.429651i	$-0.141363\pi$
$43$	10.8091	+	1.55411i	1.64837	+	0.236999i	0.745371	+	0.666650i	$0.232272\pi$
$44$	−2.09059	−	1.07778i	−0.315169	−	0.162481i
$45$	5.80314	−	9.93821i	0.865081	−	1.48150i
$46$	−3.09030	+	4.51546i	−0.455639	+	0.665768i
$47$	−5.32643	+	3.07521i	−0.776939	+	0.448566i	−0.835344	−	0.549727i	$-0.814732\pi$
$47$	−5.32643	+	3.07521i	−0.776939	+	0.448566i	0.0584054	+	0.998293i	$0.481398\pi$
$48$	1.97370	+	3.08779i	0.284879	+	0.445684i
$49$	5.32493	−	4.54369i	0.760705	−	0.649098i
$50$	−10.0835	−	4.60499i	−1.42602	−	0.651244i
$51$	−5.56934	+	5.81229i	−0.779864	+	0.813883i
$52$	1.49587	+	0.142838i	0.207440	+	0.0198081i
$53$	−5.15352	+	0.993259i	−0.707890	+	0.136435i	−0.530474	−	0.847701i	$-0.677986\pi$
$53$	−5.15352	+	0.993259i	−0.707890	+	0.136435i	−0.177416	+	0.984136i	$0.556774\pi$
$54$	−4.68694	+	3.63025i	−0.637812	+	0.494014i
$55$	−12.3979	−	3.64036i	−1.67174	−	0.490866i
$56$	7.16354	−	3.87632i	0.957268	−	0.517995i
$57$	−0.469294	−	0.303229i	−0.0621595	−	0.0401637i
$58$	0.251658	−	5.28296i	0.0330444	−	0.693687i
$59$	−12.6284	+	4.37072i	−1.64408	+	0.569020i	−0.983368	−	0.181624i	$-0.941865\pi$
$59$	−12.6284	+	4.37072i	−1.64408	+	0.569020i	−0.660707	+	0.750644i	$0.729743\pi$
$60$	−3.19352	−	3.36579i	−0.412281	−	0.434521i
$61$	1.90983	+	2.42855i	0.244529	+	0.310944i	0.892789	−	0.450475i	$-0.148745\pi$
$61$	1.90983	+	2.42855i	0.244529	+	0.310944i	−0.648260	+	0.761419i	$0.724503\pi$
$62$	3.36734	−	2.91782i	0.427653	−	0.370564i
$63$	4.39144	+	6.61175i	0.553269	+	0.833003i
$64$	8.15783	−	2.39535i	1.01973	−	0.299419i
$65$	8.21776	−	0.784701i	1.01929	−	0.0973302i
$66$	5.22204	+	4.12747i	0.642789	+	0.508056i
$67$	−3.31724	+	0.158020i	−0.405265	+	0.0193052i	−0.249225	−	0.968446i	$-0.580176\pi$
$67$	−3.31724	+	0.158020i	−0.405265	+	0.0193052i	−0.156040	+	0.987751i	$0.549873\pi$
$68$	1.62268	+	2.81057i	0.196779	+	0.340832i
$69$	−5.91829	+	5.82871i	−0.712478	+	0.701694i
$70$	8.95737	−	7.33877i	1.07061	−	0.877150i
$71$	5.15089	+	8.01494i	0.611298	+	0.951198i	0.999560	+	0.0296494i	$0.00943909\pi$
$71$	5.15089	+	8.01494i	0.611298	+	0.951198i	−0.388262	+	0.921549i	$0.626925\pi$
$72$	3.39036	+	8.59084i	0.399558	+	1.01244i
$73$	2.57589	+	3.61734i	0.301486	+	0.423377i	0.937332	−	0.348439i	$-0.113288\pi$
$73$	2.57589	+	3.61734i	0.301486	+	0.423377i	−0.635846	+	0.771816i	$0.719349\pi$
$74$	−1.43221	+	5.90366i	−0.166491	+	0.686286i
$75$	−13.6842	−	9.79525i	−1.58012	−	1.13106i
$76$	−0.170239	+	0.147513i	−0.0195278	+	0.0169209i
$77$	6.01957	−	6.57141i	0.685994	−	0.748881i
$78$	−4.07731	−	1.20810i	−0.461665	−	0.136790i
$79$	−0.282634	+	1.46644i	−0.0317988	+	0.164988i	−0.994357	−	0.106088i	$-0.966167\pi$
$79$	−0.282634	+	1.46644i	−0.0317988	+	0.164988i	0.962558	+	0.271076i	$0.0873795\pi$
$80$	7.21428	−	3.71922i	0.806581	−	0.415822i
$81$	−8.03967	+	4.04521i	−0.893297	+	0.449467i
$82$	8.69437	+	1.67570i	0.960133	+	0.185050i
$83$	5.43352	+	1.59543i	0.596407	+	0.175121i	0.565984	−	0.824416i	$-0.308496\pi$
$83$	5.43352	+	1.59543i	0.596407	+	0.175121i	0.0304229	+	0.999537i	$0.490315\pi$
$84$	3.05406	−	0.955256i	0.333226	−	0.104227i
$85$	11.6754	+	13.4741i	1.26638	+	1.46148i
$86$	−7.22701	+	10.1489i	−0.779309	+	1.09439i
$87$	1.91213	−	7.79821i	0.205002	−	0.836056i
$88$	8.44675	−	6.01490i	0.900426	−	0.641191i
$89$	−2.74930	+	1.10066i	−0.291426	+	0.116669i	−0.512769	−	0.858527i	$-0.671380\pi$
$89$	−2.74930	+	1.10066i	−0.291426	+	0.116669i	0.221343	+	0.975196i	$0.428956\pi$
$90$	7.04439	+	11.0806i	0.742543	+	1.16800i
$91$	−2.00993	+	5.32691i	−0.210698	+	0.558412i
$92$	1.58974	+	2.94750i	0.165742	+	0.307298i
$93$	5.86622	−	3.36767i	0.608299	−	0.349211i
$94$	−0.333891	−	7.00923i	−0.0344382	−	0.722946i
$95$	−0.764963	+	0.972730i	−0.0784836	+	0.0998000i
$96$	6.45540	−	0.600411i	0.658852	−	0.0612792i
$97$	2.34071	+	7.97173i	0.237663	+	0.809406i	0.988798	+	0.149258i	$0.0476884\pi$
$97$	2.34071	+	7.97173i	0.237663	+	0.809406i	−0.751135	+	0.660148i	$0.770493\pi$
$98$	1.82384	+	7.77543i	0.184236	+	0.785437i
$99$	6.57971	+	7.66923i	0.661286	+	0.770787i
$100$	−5.33307	+	4.19397i	−0.533307	+	0.419397i
$101$	1.76730	+	1.85349i	0.175853	+	0.184429i	0.805762	−	0.592240i	$-0.201756\pi$
$101$	1.76730	+	1.85349i	0.175853	+	0.184429i	−0.629909	+	0.776669i	$0.716908\pi$
$102$	−2.98255	−	8.68651i	−0.295316	−	0.860093i
$103$	−10.8977	−	0.519122i	−1.07378	−	0.0511506i	−0.496768	−	0.867883i	$-0.665480\pi$
$103$	−10.8977	−	0.519122i	−1.07378	−	0.0511506i	−0.577016	+	0.816733i	$0.695783\pi$
$104$	−3.58166	+	5.57316i	−0.351210	+	0.546494i
$105$	15.4815	−	8.32822i	1.51084	−	0.812751i
$106$	1.68701	−	5.74543i	0.163857	−	0.558046i
$107$	15.4746	−	12.1694i	1.49599	−	1.17646i	0.557979	−	0.829855i	$-0.311577\pi$
$107$	15.4746	−	12.1694i	1.49599	−	1.17646i	0.938011	−	0.346604i	$-0.112665\pi$
$108$	0.660399	+	3.56782i	0.0635469	+	0.343314i
$109$	0.201488	−	2.11007i	0.0192990	−	0.202108i	−0.980680	−	0.195619i	$-0.937328\pi$
$109$	0.201488	−	2.11007i	0.0192990	−	0.202108i	0.999979	−	0.00648920i	$-0.00206559\pi$
$110$	10.1733	−	10.6695i	0.969990	−	1.01730i
$111$	−3.85172	+	8.37953i	−0.365589	+	0.795350i
$112$	0.111950	+	5.59678i	0.0105783	+	0.528846i
$113$	−0.664569	+	0.427092i	−0.0625174	+	0.0401775i	−0.571526	−	0.820584i	$-0.693648\pi$
$113$	−0.664569	+	0.427092i	−0.0625174	+	0.0401775i	0.509009	+	0.860761i	$0.330012\pi$
$114$	0.552851	−	0.317379i	0.0517792	−	0.0297253i
$115$	11.6401	+	14.2470i	1.08544	+	1.32854i
$116$	−2.80336	−	1.61852i	−0.260286	−	0.150276i
$117$	−5.72354	−	2.98639i	−0.529142	−	0.276092i
$118$	2.16981	−	15.0914i	0.199748	−	1.38928i
$119$	−11.8894	+	3.13738i	−1.08990	+	0.287603i
$120$	19.6406	−	5.71462i	1.79294	−	0.521671i
$121$	0.200418	−	0.281448i	0.0182199	−	0.0255862i
$122$	−3.46124	+	0.667100i	−0.313366	+	0.0603964i
$123$	12.4668	+	5.02652i	1.12409	+	0.453226i
$124$	−0.642920	−	2.65015i	−0.0577359	−	0.237991i
$125$	−11.8474	+	13.6726i	−1.05966	+	1.22291i
$126$	−9.00079	+	0.996694i	−0.801854	+	0.0887925i
$127$	−2.25391	−	1.44850i	−0.200002	−	0.128533i	0.436807	−	0.899555i	$-0.356109\pi$
$127$	−2.25391	−	1.44850i	−0.200002	−	0.128533i	−0.636808	+	0.771022i	$0.719746\pi$
$128$	−0.419035	+	2.17416i	−0.0370378	+	0.192170i
$129$	−13.7210	+	13.0187i	−1.20807	+	1.14623i
$130$	−3.50050	+	8.74383i	−0.307014	+	0.766885i
$131$	−13.1768	−	4.56052i	−1.15126	−	0.398455i	−0.316242	−	0.948679i	$-0.602421\pi$
$131$	−13.1768	−	4.56052i	−1.15126	−	0.398455i	−0.835017	+	0.550224i	$0.814542\pi$
$132$	3.70989	−	1.68324i	0.322904	−	0.146507i
$133$	−0.370004	−	0.769108i	−0.0320834	−	0.0666901i
$134$	1.57401	−	3.44661i	0.135974	−	0.297741i
$135$	7.27180	+	18.5595i	0.625857	+	1.59735i
$136$	−14.2916	+	0.680794i	−1.22550	+	0.0583776i
$137$	−5.59900	+	9.69775i	−0.478355	+	0.828534i	−0.999692	−	0.0248162i	$-0.992100\pi$
$137$	−5.59900	+	9.69775i	−0.478355	+	0.828534i	0.521338	+	0.853351i	$0.325433\pi$
$138$	−2.81677	−	9.04896i	−0.239780	−	0.770299i
$139$	15.9820			1.35558			0.677789	−	0.735257i	$-0.262938\pi$
$139$	15.9820			1.35558			0.677789	+	0.735257i	$0.262938\pi$
$140$	−1.48019	−	6.93101i	−0.125099	−	0.585777i
$141$	1.54197	−	10.5407i	0.129857	−	0.887684i
$142$	−10.8208	+	1.03326i	−0.908061	+	0.0867093i
$143$	−1.70887	+	7.04407i	−0.142903	+	0.589054i
$144$	−6.31564	−	0.634410i	−0.526304	−	0.0528675i
$145$	−16.8051	−	5.81629i	−1.39558	−	0.483017i
$146$	−5.01500	+	0.721049i	−0.415045	+	0.0596744i
$147$	0.455068	+	12.1158i	0.0375334	+	0.999295i
$148$	2.80994	+	2.43482i	0.230975	+	0.200141i
$149$	0.118820	−	2.49434i	0.00973412	−	0.204344i	−0.988761	−	0.149505i	$-0.952232\pi$
$149$	0.118820	−	2.49434i	0.00973412	−	0.204344i	0.998495	−	0.0548399i	$-0.0174648\pi$
$150$	17.0874	−	8.75610i	1.39518	−	0.714932i
$151$	4.36285	+	12.6056i	0.355044	+	1.02583i	0.971212	+	0.238217i	$0.0765628\pi$
$151$	4.36285	+	12.6056i	0.355044	+	1.02583i	−0.616168	+	0.787614i	$0.711316\pi$
$152$	−0.234131	−	0.965101i	−0.0189905	−	0.0782800i
$153$	−1.91641	−	13.8104i	−0.154932	−	1.11651i
$154$	3.51698	+	9.53996i	0.283406	+	0.768752i
$155$	−6.22344	−	13.6274i	−0.499878	−	1.09458i
$156$	−1.80070	+	1.87925i	−0.144171	+	0.150461i
$157$	4.40390	−	3.13600i	0.351469	−	0.250280i	−0.390663	−	0.920534i	$-0.627754\pi$
$157$	4.40390	−	3.13600i	0.351469	−	0.250280i	0.742132	+	0.670254i	$0.233815\pi$
$158$	−1.33935	−	1.05328i	−0.106553	−	0.0837942i
$159$	4.18532	−	8.06964i	0.331918	−	0.639964i
$160$		−	14.3591i		−	1.13519i
$161$	−12.3572	+	2.88075i	−0.973887	+	0.227035i
$162$	0.100935	−	10.2678i	0.00793018	−	0.806717i
$163$	−1.32234	−	0.681711i	−0.103573	−	0.0533958i	0.405661	−	0.914023i	$-0.367041\pi$
$163$	−1.32234	−	0.681711i	−0.103573	−	0.0533958i	−0.509235	+	0.860628i	$0.670072\pi$
$164$	3.34995	−	4.25980i	0.261587	−	0.332635i
$165$	18.2624	−	12.9371i	1.42173	−	1.00715i
$166$	−4.45857	+	4.67601i	−0.346052	+	0.362929i
$167$	18.5694	−	8.48038i	1.43695	−	0.656232i	0.463700	−	0.885992i	$-0.346522\pi$
$167$	18.5694	−	8.48038i	1.43695	−	0.656232i	0.973247	+	0.229761i	$0.0737944\pi$
$168$	−2.42649	+	13.8974i	−0.187208	+	1.07221i
$169$	1.19106	+	8.28399i	0.0916198	+	0.637230i
$170$	−19.7680	+	4.79566i	−1.51613	+	0.367810i
$171$	0.916076	−	0.312024i	0.0700541	−	0.0238610i
$172$	3.49420	+	6.77780i	0.266430	+	0.516802i
$173$	4.34162	+	0.206817i	0.330087	+	0.0157240i	0.211972	−	0.977276i	$-0.432012\pi$
$173$	4.34162	+	0.206817i	0.330087	+	0.0157240i	0.118116	+	0.993000i	$0.462315\pi$
$174$	6.90846	+	6.01600i	0.523729	+	0.456072i
$175$	−10.0294	−	23.6690i	−0.758151	−	1.78921i
$176$	1.01424	+	7.05416i	0.0764508	+	0.531727i
$177$	7.62405	−	21.8543i	0.573058	−	1.64267i
$178$	0.321173	−	3.36348i	0.0240730	−	0.252103i
$179$	19.1811	+	4.65329i	1.43366	+	0.347803i	0.876019	−	0.482276i	$-0.160190\pi$
$179$	19.1811	+	4.65329i	1.43366	+	0.347803i	0.557645	+	0.830080i	$0.311705\pi$
$180$	8.00351	−	0.724566i	0.596547	−	0.0540059i
$181$	−18.3107	−	2.63268i	−1.36102	−	0.195686i	−0.577166	−	0.816627i	$-0.695841\pi$
$181$	−18.3107	−	2.63268i	−1.36102	−	0.195686i	−0.783857	+	0.620941i	$0.786751\pi$
$182$	−4.35120	−	4.82317i	−0.322532	−	0.357517i
$183$	−5.35124	−	0.0131505i	−0.395575	−	0.000972116i
$184$	−14.7616	+	0.275074i	−1.08824	+	0.0202787i
$185$	17.6892	+	10.2129i	1.30054	+	0.750865i
$186$	0.348263	+	7.70952i	0.0255359	+	0.565290i
$187$	−14.5332	+	5.81820i	−1.06277	+	0.425469i
$188$	−3.90667	−	1.78412i	−0.284924	−	0.130120i
$189$	−13.7009	−	1.13389i	−0.996593	−	0.0824785i
$190$	−0.586516	−	1.28429i	−0.0425503	−	0.0931722i
$191$	1.07221	−	3.09795i	0.0775825	−	0.224160i	−0.899540	−	0.436839i	$-0.856098\pi$
$191$	1.07221	−	3.09795i	0.0775825	−	0.224160i	0.977122	+	0.212679i	$0.0682190\pi$
$192$	−5.50679	+	13.6579i	−0.397418	+	0.985676i
$193$	−15.0577	+	14.3575i	−1.08388	+	1.03348i	−0.0845657	+	0.996418i	$0.526950\pi$
$193$	−15.0577	+	14.3575i	−1.08388	+	1.03348i	−0.999313	+	0.0370584i	$0.988201\pi$
$194$	−9.30781	−	1.79393i	−0.668262	−	0.128797i
$195$	−7.75980	+	12.0095i	−0.555691	+	0.860017i
$196$	4.74135	+	1.18847i	0.338668	+	0.0848905i
$197$	18.5331	+	16.0590i	1.32043	+	1.14416i	0.978912	+	0.204283i	$0.0654864\pi$
$197$	18.5331	+	16.0590i	1.32043	+	1.14416i	0.341518	+	0.939875i	$0.389059\pi$
$198$	−11.2172	+	2.66296i	−0.797172	+	0.189248i
$199$	−0.578987	+	1.44624i	−0.0410433	+	0.102521i	−0.947473	−	0.319835i	$-0.896373\pi$
$199$	−0.578987	+	1.44624i	−0.0410433	+	0.102521i	0.906430	+	0.422356i	$0.138797\pi$
$200$	−5.66075	−	29.3707i	−0.400275	−	2.07683i
$201$	3.34807	−	4.67734i	0.236155	−	0.329914i
$202$	−2.80356	+	0.823199i	−0.197258	+	0.0579201i
$203$	8.70544	−	8.63953i	0.611002	−	0.606376i
$204$	−5.56195	−	0.813643i	−0.389414	−	0.0569664i
$205$	13.6420	−	26.4617i	0.952796	−	1.84817i
$206$	6.22379	−	10.7799i	0.433632	−	0.751072i
$207$	−1.56395	−	14.3022i	−0.108702	−	0.994074i
$208$	−2.27654	−	3.94309i	−0.157850	−	0.273404i
$209$	−0.587443	−	0.914080i	−0.0406343	−	0.0632282i
$210$	0.351826	+	20.0537i	0.0242783	+	1.38384i
$211$	0.259917	−	0.569139i	0.0178934	−	0.0391811i	−0.900474	−	0.434909i	$-0.856780\pi$
$211$	0.259917	−	0.569139i	0.0178934	−	0.0391811i	0.918368	+	0.395728i	$0.129508\pi$
$212$	−2.65240	−	2.52906i	−0.182168	−	0.173697i
$213$	−16.4233	−	1.60897i	−1.12530	−	0.110245i
$214$	4.25074	+	22.0549i	0.290575	+	1.50764i
$215$	25.8956	+	32.9290i	1.76607	+	2.24574i
$216$	−15.3150	−	4.61980i	−1.04205	−	0.314337i
$217$	10.3285	+	0.285139i	0.701143	+	0.0193565i
$218$	2.03448	+	1.30748i	0.137792	+	0.0885536i
$219$	−7.68199	−	0.384862i	−0.519101	−	0.0260065i
$220$	−2.95109	−	8.52660i	−0.198962	−	0.574864i
$221$	7.23829	−	6.90170i	0.486900	−	0.464258i
$222$	−6.48395	−	8.28684i	−0.435174	−	0.556176i
$223$	9.70020	+	11.1946i	0.649574	+	0.749648i	0.981037	−	0.193820i	$-0.0620878\pi$
$223$	9.70020	+	11.1946i	0.649574	+	0.749648i	−0.331463	+	0.943468i	$0.607542\pi$
$224$	8.89144	+	4.36103i	0.594084	+	0.291384i
$225$	28.0074	−	8.07442i	1.86716	−	0.538295i
$226$	−0.0856742	−	0.897220i	−0.00569896	−	0.0596822i
$227$	−20.1399	−	15.8382i	−1.33673	−	1.05122i	−0.993721	−	0.111884i	$-0.964311\pi$
$227$	−20.1399	−	15.8382i	−1.33673	−	1.05122i	−0.343009	−	0.939332i	$-0.611446\pi$
$228$	−0.0176068	−	0.389762i	−0.00116604	−	0.0258126i
$229$	25.6511	−	14.8097i	1.69508	−	0.978652i	0.744776	−	0.667314i	$-0.232556\pi$
$229$	25.6511	−	14.8097i	1.69508	−	0.978652i	0.950299	−	0.311338i	$-0.100777\pi$
$230$	−20.5333	+	4.35573i	−1.35392	+	0.287209i
$231$	2.46437	+	15.2375i	0.162144	+	1.00256i
$232$	12.0056	−	7.71555i	0.788209	−	0.506551i
$233$	4.81514	+	12.0276i	0.315450	+	0.787957i	0.998349	+	0.0574434i	$0.0182949\pi$
$233$	4.81514	+	12.0276i	0.315450	+	0.787957i	−0.682899	+	0.730513i	$0.739281\pi$
$234$	6.02076	−	4.24292i	0.393589	−	0.277368i
$235$	−22.9289	−	5.56248i	−1.49571	−	0.362857i
$236$	−7.60122	−	5.41280i	−0.494797	−	0.352344i
$237$	−1.68912	−	1.95905i	−0.109720	−	0.127254i
$238$	3.03420	−	13.6972i	0.196678	−	0.887857i
$239$	8.01995	−	27.3134i	0.518767	−	1.76676i	−0.115139	−	0.993349i	$-0.536731\pi$
$239$	8.01995	−	27.3134i	0.518767	−	1.76676i	0.633906	−	0.773410i	$-0.281451\pi$
$240$	−2.69446	+	13.7977i	−0.173927	+	0.890635i
$241$	7.19769	+	13.9616i	0.463644	+	0.899344i	0.998519	+	0.0544122i	$0.0173285\pi$
$241$	7.19769	+	13.9616i	0.463644	+	0.899344i	−0.534875	+	0.844931i	$0.679641\pi$
$242$	0.180636	+	0.350385i	0.0116117	+	0.0225236i
$243$	3.13799	−	15.2693i	0.201302	−	0.979529i
$244$	−0.607811	+	2.07001i	−0.0389111	+	0.132519i
$245$	26.8121	+	1.48154i	1.71296	+	0.0946520i
$246$	−11.6150	+	10.0146i	−0.740546	+	0.638507i
$247$	0.565465	+	0.402666i	0.0359797	+	0.0256210i
$248$	11.6837	+	2.83443i	0.741916	+	0.179987i
$249$	−8.00369	+	5.66981i	−0.507213	+	0.359309i
$250$	−7.67147	−	19.1624i	−0.485186	−	1.21194i
$251$	−5.75087	+	3.69586i	−0.362992	+	0.233281i	−0.709405	−	0.704801i	$-0.751036\pi$
$251$	−5.75087	+	3.69586i	−0.362992	+	0.233281i	0.346413	+	0.938082i	$0.387400\pi$
$252$	−1.98209	+	5.17598i	−0.124860	+	0.326056i
$253$	−15.1643	+	5.56690i	−0.953372	+	0.349988i
$254$	2.64726	−	1.52840i	0.166104	−	0.0959001i
$255$	−30.8490	+	1.39355i	−1.93184	+	0.0872672i
$256$	11.3807	+	8.94986i	0.711292	+	0.559366i
$257$	1.18854	+	12.4470i	0.0741391	+	0.776420i	0.953725	+	0.300680i	$0.0972137\pi$
$257$	1.18854	+	12.4470i	0.0741391	+	0.776420i	−0.879586	+	0.475740i	$0.842180\pi$
$258$	−6.02885	−	20.7206i	−0.375340	−	1.29001i
$259$	−11.6964	+	7.85171i	−0.726779	+	0.487882i
$260$	3.77494	+	4.35651i	0.234112	+	0.270179i
$261$	8.54291	+	10.9738i	0.528793	+	0.679259i
$262$	11.5136	−	10.9782i	0.711315	−	0.678237i
$263$	5.60117	+	16.1835i	0.345383	+	0.997918i	0.975229	+	0.221198i	$0.0709967\pi$
$263$	5.60117	+	16.1835i	0.345383	+	0.997918i	−0.629846	+	0.776720i	$0.716882\pi$
$264$	−0.898680	+	17.9380i	−0.0553099	+	1.10401i
$265$	−16.9374	−	10.8850i	−1.04046	−	0.668660i
$266$	0.973387	+	0.0268724i	0.0596822	+	0.00164765i
$267$	1.45720	−	4.91802i	0.0891791	−	0.300978i
$268$	−1.43353	−	1.82288i	−0.0875665	−	0.111350i
$269$	−5.87122	−	30.4628i	−0.357975	−	1.85735i	−0.497966	−	0.867197i	$-0.665920\pi$
$269$	−5.87122	−	30.4628i	−0.357975	−	1.85735i	0.139991	−	0.990153i	$-0.455293\pi$
$270$	−22.6228	−	2.32864i	−1.37678	−	0.141716i
$271$	−9.25695	−	8.82649i	−0.562320	−	0.536171i	0.354717	−	0.934974i	$-0.384577\pi$
$271$	−9.25695	−	8.82649i	−0.562320	−	0.536171i	−0.917037	+	0.398803i	$0.869426\pi$
$272$	4.08495	−	8.94478i	0.247686	−	0.542357i
$273$	−5.07975	−	8.45242i	−0.307441	−	0.511564i
$274$	−6.90726	−	10.7479i	−0.417283	−	0.649305i
$275$	−16.3633	−	28.3421i	−0.986745	−	1.70909i
$276$	−5.71263	−	1.00548i	−0.343860	−	0.0605225i
$277$	7.13559	−	12.3592i	0.428736	−	0.742592i	−0.568025	−	0.823011i	$-0.692292\pi$
$277$	7.13559	−	12.3592i	0.428736	−	0.742592i	0.996761	+	0.0804188i	$0.0256258\pi$
$278$	−8.35543	+	16.2073i	−0.501126	+	0.972048i
$279$	−1.72432	+	11.5883i	−0.103232	+	0.693771i
$280$	30.1501	+	8.20161i	1.80181	+	0.490140i
$281$	−21.6672	+	6.36207i	−1.29256	+	0.379529i	−0.854516	−	0.519426i	$-0.826146\pi$
$281$	−21.6672	+	6.36207i	−1.29256	+	0.379529i	−0.438042	+	0.898955i	$0.644328\pi$
$282$	9.88308	+	7.07438i	0.588529	+	0.421273i
$283$	−5.03168	−	26.1068i	−0.299102	−	1.55189i	−0.751294	−	0.659968i	$-0.770570\pi$
$283$	−5.03168	−	26.1068i	−0.299102	−	1.55189i	0.452192	−	0.891921i	$-0.350642\pi$
$284$	−2.47263	+	6.17632i	−0.146723	+	0.366497i
$285$	−0.500203	−	2.08421i	−0.0296295	−	0.123458i
$286$	−6.24995	−	5.41561i	−0.369567	−	0.320232i
$287$	12.2424	+	16.4841i	0.722644	+	0.973024i
$288$	−6.11740	+	9.41677i	−0.360471	+	0.554889i
$289$	4.51696	+	0.870572i	0.265703	+	0.0512101i
$290$	14.6840	−	14.0012i	0.862274	−	0.822176i
$291$	−13.3464	−	5.38117i	−0.782377	−	0.315450i
$292$	−1.01422	+	2.93039i	−0.0593527	+	0.171488i
$293$	2.01865	+	4.42023i	0.117931	+	0.258232i	0.959387	−	0.282093i	$-0.0910285\pi$
$293$	2.01865	+	4.42023i	0.117931	+	0.258232i	−0.841456	+	0.540325i	$0.818301\pi$
$294$	−12.5245	−	5.87269i	−0.730443	−	0.342502i
$295$	−46.6312	−	21.2958i	−2.71497	−	1.23989i
$296$	−15.2177	+	6.09223i	−0.884509	+	0.354104i
$297$	−17.4881	+	0.703882i	−1.01476	+	0.0408434i
$298$	2.46738	+	1.42454i	0.142931	+	0.0825215i
$299$	7.67231	−	6.90251i	0.443701	−	0.399183i
$300$	0.0288785	−	11.7513i	0.00166730	−	0.678460i
$301$	−28.2550	+	6.03414i	−1.62859	+	0.347802i
$302$	−15.0642	−	2.16590i	−0.866847	−	0.124634i
$303$	−4.41673	+	0.410797i	−0.253735	+	0.0235996i
$304$	0.663290	+	0.160912i	0.0380423	+	0.00922896i
$305$	−1.12660	+	11.7983i	−0.0645091	+	0.675569i
$306$	15.0070	+	5.27670i	0.857892	+	0.301649i
$307$	1.26581	+	8.80392i	0.0722437	+	0.502466i	0.993529	+	0.113579i	$0.0362314\pi$
$307$	1.26581	+	8.80392i	0.0722437	+	0.502466i	−0.921285	+	0.388888i	$0.872859\pi$
$308$	6.17610	+	0.762260i	0.351916	+	0.0434338i
$309$	12.4098	−	14.2508i	0.705971	−	0.810700i
$310$	17.0731	+	0.813293i	0.969688	+	0.0461919i
$311$	1.68707	+	3.27247i	0.0956652	+	0.185565i	0.931812	−	0.362941i	$-0.118227\pi$
$311$	1.68707	+	3.27247i	0.0956652	+	0.185565i	−0.836147	+	0.548505i	$0.815197\pi$
$312$	−3.72630	−	10.8526i	−0.210960	−	0.614410i
$313$	2.67121	−	0.648029i	0.150986	−	0.0366287i	−0.159554	−	0.987189i	$-0.551005\pi$
$313$	2.67121	−	0.648029i	0.150986	−	0.0366287i	0.310539	+	0.950561i	$0.399490\pi$
$314$	0.877834	+	6.10547i	0.0495391	+	0.344552i
$315$	−5.31076	+	29.9818i	−0.299228	+	1.68928i
$316$	−0.948609	+	0.433215i	−0.0533634	+	0.0243703i
$317$	−1.07698	+	1.12950i	−0.0604891	+	0.0634391i	−0.753283	−	0.657696i	$-0.771531\pi$
$317$	−1.07698	+	1.12950i	−0.0604891	+	0.0634391i	0.692794	+	0.721135i	$0.256379\pi$
$318$	5.99528	+	8.46313i	0.336199	+	0.474589i
$319$	9.65217	−	12.2737i	0.540418	−	0.687197i
$320$	28.9901	+	14.9454i	1.62060	+	0.835475i
$321$	−0.0837948	+	34.0979i	−0.00467697	+	1.90316i
$322$	3.53904	−	14.0375i	0.197223	−	0.782277i
$323$			1.49925i			0.0834203i
$324$	−5.55741	−	2.93455i	−0.308745	−	0.163030i
$325$	16.4350	+	12.9246i	0.911651	+	0.716930i
$326$	1.38264	−	0.984573i	0.0765773	−	0.0545305i
$327$	2.65087	+	2.54006i	0.146593	+	0.140466i
$328$	9.92497	+	21.7327i	0.548015	+	1.19999i
$329$	10.4081	−	12.5086i	0.573820	−	0.689620i
$330$	3.57180	+	25.2833i	0.196621	+	1.39180i
$331$	3.67211	+	15.1366i	0.201837	+	0.831985i	0.979194	+	0.202925i	$0.0650447\pi$
$331$	3.67211	+	15.1366i	0.201837	+	0.831985i	−0.777357	+	0.629060i	$0.783440\pi$
$332$	1.29334	+	3.73687i	0.0709815	+	0.205088i
$333$	−7.24967	−	14.2337i	−0.397279	−	0.780003i
$334$	−1.10824	+	23.2647i	−0.0606400	+	1.27299i
$335$	−9.62814	−	8.34283i	−0.526041	−	0.455817i
$336$	−7.72542	−	5.85896i	−0.421456	−	0.319633i
$337$	16.6062	−	2.38761i	0.904596	−	0.130061i	0.325710	−	0.945470i	$-0.394397\pi$
$337$	16.6062	−	2.38761i	0.904596	−	0.130061i	0.578886	+	0.815408i	$0.303488\pi$
$338$	−9.02343	−	3.12304i	−0.490810	−	0.169871i
$339$	0.133410	−	1.36176i	0.00724582	−	0.0739605i
$340$	−2.93513	+	12.0988i	−0.159180	+	0.656149i
$341$	13.0946	−	1.25039i	0.709115	−	0.0677123i
$342$	−0.162505	+	1.09211i	−0.00878725	+	0.0590547i
$343$	−9.06054	+	16.1526i	−0.489223	+	0.872158i
$344$	−33.6184			−1.81258
$345$	−31.8613	+	0.515393i	−1.71535	+	0.0277479i
$346$	−2.47954	+	4.29469i	−0.133301	+	0.230884i
$347$	13.4630	−	0.641320i	0.722729	−	0.0344278i	0.317006	−	0.948424i	$-0.397323\pi$
$347$	13.4630	−	0.641320i	0.722729	−	0.0344278i	0.405724	+	0.913996i	$0.367020\pi$
$348$	5.21021	−	2.07101i	0.279297	−	0.111018i
$349$	11.4564	−	25.0860i	0.613246	−	1.34282i	−0.307085	−	0.951682i	$-0.599354\pi$
$349$	11.4564	−	25.0860i	0.613246	−	1.34282i	0.920331	−	0.391140i	$-0.127919\pi$
$350$	29.2460	+	2.20345i	1.56326	+	0.117779i
$351$	10.2053	−	4.56997i	0.544717	−	0.243927i
$352$	11.9145	+	4.12366i	0.635047	+	0.219792i
$353$	8.22878	−	20.5545i	0.437974	−	1.09401i	−0.531117	−	0.847299i	$-0.678227\pi$
$353$	8.22878	−	20.5545i	0.437974	−	1.09401i	0.969090	−	0.246707i	$-0.0793484\pi$
$354$	18.1765	+	19.1570i	0.966069	+	1.01818i
$355$	−6.91684	+	35.8880i	−0.367108	+	1.90474i
$356$	−1.73967	−	1.11802i	−0.0922021	−	0.0592547i
$357$	8.50628	−	19.5255i	0.450200	−	1.03340i
$358$	−14.7468	+	17.0187i	−0.779393	+	0.899467i
$359$	−6.59781	−	27.1965i	−0.348219	−	1.43538i	−0.829350	−	0.558729i	$-0.811289\pi$
$359$	−6.59781	−	27.1965i	−0.348219	−	1.43538i	0.481131	−	0.876649i	$-0.340226\pi$
$360$	−13.3292	+	32.8263i	−0.702512	+	1.73010i
$361$	18.5545	−	3.57608i	0.976551	−	0.188215i
$362$	12.2427	−	17.1924i	0.643460	−	0.903612i
$363$	0.167191	+	0.574621i	0.00877526	+	0.0301598i
$364$	−3.84412	+	1.01439i	−0.201487	+	0.0531684i
$365$	−2.42439	+	16.8620i	−0.126899	+	0.882599i
$366$	2.81098	−	5.41979i	0.146932	−	0.283297i
$367$	−14.2193	−	8.20949i	−0.742239	−	0.428532i	0.0806437	−	0.996743i	$-0.474302\pi$
$367$	−14.2193	−	8.20949i	−0.742239	−	0.428532i	−0.822883	+	0.568211i	$0.807636\pi$
$368$	4.48081	−	9.10413i	0.233578	−	0.474586i
$369$	−20.2199	+	11.5418i	−1.05261	+	0.600843i
$370$	−19.6048	+	12.5992i	−1.01920	+	0.655002i
$371$	11.8843	−	7.18204i	0.617000	−	0.372873i
$372$	4.29167	+	1.97270i	0.222513	+	0.102280i
$373$	7.35982	−	7.71875i	0.381077	−	0.399662i	−0.505061	−	0.863084i	$-0.668530\pi$
$373$	7.35982	−	7.71875i	0.381077	−	0.399662i	0.886138	+	0.463422i	$0.153378\pi$
$374$	1.69776	−	17.7798i	0.0877891	−	0.919369i
$375$	−5.85461	−	30.7835i	−0.302331	−	1.58965i
$376$	14.8834	−	11.7045i	0.767554	−	0.603611i
$377$	−2.81047	+	9.57158i	−0.144747	+	0.492961i
$378$	8.31272	−	13.3012i	0.427560	−	0.684139i
$379$	10.6082	−	16.5067i	0.544906	−	0.847890i	−0.454168	−	0.890916i	$-0.650064\pi$
$379$	10.6082	−	16.5067i	0.544906	−	0.847890i	0.999074	+	0.0430262i	$0.0136999\pi$
$380$	−0.863147	−	0.0411167i	−0.0442785	−	0.00210924i
$381$	4.38904	−	1.50699i	0.224857	−	0.0772056i
$382$	2.58106	+	2.70694i	0.132059	+	0.138499i
$383$	17.1148	−	13.4592i	0.874525	−	0.687734i	−0.0764258	−	0.997075i	$-0.524351\pi$
$383$	17.1148	−	13.4592i	0.874525	−	0.687734i	0.950951	+	0.309341i	$0.100108\pi$
$384$	−2.50430	−	2.90451i	−0.127797	−	0.148220i
$385$	34.1086	−	2.30925i	1.73833	−	0.117690i
$386$	−6.68766	−	22.7761i	−0.340393	−	1.15927i
$387$	−2.95377	−	32.6272i	−0.150149	−	1.65853i
$388$	−3.58630	+	4.56036i	−0.182067	+	0.231517i
$389$	0.734006	+	15.4087i	0.0372156	+	0.781251i	0.937927	+	0.346833i	$0.112743\pi$
$389$	0.734006	+	15.4087i	0.0372156	+	0.781251i	−0.900711	+	0.434418i	$0.856954\pi$
$390$	−8.12192	−	14.1478i	−0.411269	−	0.716399i
$391$	21.7549	+	4.85037i	1.10019	+	0.245294i
$392$	−14.2355	+	16.1785i	−0.719002	+	0.817140i
$393$	20.3492	−	13.0071i	1.02648	−	0.656122i
$394$	−25.9745	+	10.3986i	−1.30858	+	0.523875i
$395$	−4.66673	+	3.32316i	−0.234809	+	0.167206i
$396$	−1.69724	+	6.84902i	−0.0852895	+	0.344176i
$397$	−3.41456	+	4.79507i	−0.171372	+	0.240658i	−0.891325	−	0.453364i	$-0.850224\pi$
$397$	−3.41456	+	4.79507i	−0.171372	+	0.240658i	0.719954	+	0.694022i	$0.244163\pi$
$398$	−1.16393	−	1.34324i	−0.0583424	−	0.0673307i
$399$	1.44250	+	0.323262i	0.0722151	+	0.0161834i
$400$	19.7246	+	5.79166i	0.986228	+	0.289583i
$401$	−14.5251	−	2.79948i	−0.725348	−	0.139799i	−0.186805	−	0.982397i	$-0.559813\pi$
$401$	−14.5251	−	2.79948i	−0.725348	−	0.139799i	−0.538544	+	0.842598i	$0.681025\pi$
$402$	2.99289	+	5.84058i	0.149272	+	0.291302i
$403$	−7.46970	+	3.85090i	−0.372092	+	0.191827i
$404$	−0.338443	+	1.75601i	−0.0168382	+	0.0873648i
$405$	−33.0296	−	10.0521i	−1.64125	−	0.499491i
$406$	4.21007	+	13.3449i	0.208942	+	0.662296i
$407$	−13.5541	+	11.7447i	−0.671854	+	0.582165i
$408$	14.4245	−	20.1513i	0.714117	−	0.997640i
$409$	8.12307	−	33.4838i	0.401660	−	1.65567i	−0.308199	−	0.951322i	$-0.599726\pi$
$409$	8.12307	−	33.4838i	0.401660	−	1.65567i	0.709859	−	0.704344i	$-0.248759\pi$
$410$	19.7026	+	27.6685i	0.973044	+	1.36645i
$411$	−7.16430	−	18.0238i	−0.353389	−	0.889049i
$412$	−4.11882	−	6.40901i	−0.202920	−	0.315749i
$413$	27.3491	−	22.4071i	1.34576	−	1.10258i
$414$	15.3215	+	5.89125i	0.753008	+	0.289539i
$415$	10.8619	+	18.8133i	0.533189	+	0.923511i
$416$	−8.04582	+	0.383270i	−0.394479	+	0.0187913i
$417$	−17.1651	+	21.7172i	−0.840578	+	1.06349i
$418$	1.23408	−	0.117840i	0.0603608	−	0.00576376i
$419$	4.41944	−	1.29766i	0.215904	−	0.0633951i	−0.171992	−	0.985098i	$-0.555020\pi$
$419$	4.41944	−	1.29766i	0.215904	−	0.0633951i	0.387896	+	0.921703i	$0.373202\pi$
$420$	11.0079	+	5.43273i	0.537133	+	0.265090i
$421$	−7.15852	+	6.20289i	−0.348885	+	0.302310i	−0.811620	−	0.584186i	$-0.801414\pi$
$421$	−7.15852	+	6.20289i	−0.348885	+	0.302310i	0.462735	+	0.886497i	$0.346868\pi$
$422$	0.441275	+	0.561127i	0.0214809	+	0.0273152i
$423$	12.6671	+	13.4162i	0.615893	+	0.652320i
$424$	15.2687	−	5.28455i	0.741513	−	0.256640i
$425$	−2.14862	+	45.1050i	−0.104223	+	2.18791i
$426$	10.2178	−	15.8136i	0.495052	−	0.766170i
$427$	−6.96357	−	4.28089i	−0.336991	−	0.207167i
$428$	13.1901	+	3.87295i	0.637566	+	0.187206i
$429$	−7.73645	−	9.88760i	−0.373519	−	0.477378i
$430$	−46.9314	+	9.04529i	−2.26323	+	0.436202i
$431$	0.667996	+	0.0637859i	0.0321762	+	0.00307246i	0.111132	−	0.993806i	$-0.464552\pi$
$431$	0.667996	+	0.0637859i	0.0321762	+	0.00307246i	−0.0789555	+	0.996878i	$0.525159\pi$
$432$	7.64523	−	7.90063i	0.367831	−	0.380119i
$433$	−0.343113	−	0.156694i	−0.0164889	−	0.00753024i	0.407153	−	0.913360i	$-0.366521\pi$
$433$	−0.343113	−	0.156694i	−0.0164889	−	0.00753024i	−0.423642	+	0.905830i	$0.639249\pi$
$434$	−5.68890	+	10.3250i	−0.273076	+	0.495615i
$435$	25.9525	−	16.5887i	1.24433	−	0.795367i
$436$	1.28185	−	0.740074i	0.0613892	−	0.0354431i
$437$	−0.0448086	+	1.54642i	−0.00214349	+	0.0739752i
$438$	4.40645	−	7.58906i	0.210548	−	0.362619i
$439$	10.6287	+	5.47946i	0.507279	+	0.261521i	0.692813	−	0.721117i	$-0.256371\pi$
$439$	10.6287	+	5.47946i	0.507279	+	0.261521i	−0.185534	+	0.982638i	$0.559401\pi$
$440$	39.3741	+	5.66114i	1.87708	+	0.269884i
$441$	−16.9523	−	12.3943i	−0.807253	−	0.590206i
$442$	3.21478	+	10.9485i	0.152911	+	0.520768i
$443$	21.9675	+	15.6430i	1.04371	+	0.743220i	0.967243	−	0.253852i	$-0.0816977\pi$
$443$	21.9675	+	15.6430i	1.04371	+	0.743220i	0.0764636	+	0.997072i	$0.475637\pi$
$444$	−6.32650	+	1.20322i	−0.300242	+	0.0571021i
$445$	−10.5467	−	4.22228i	−0.499964	−	0.200155i
$446$	−16.4237	+	3.98435i	−0.777685	+	0.188664i
$447$	3.26182	+	2.84044i	0.154279	+	0.134348i
$448$	−18.0591	+	13.4121i	−0.853212	+	0.633662i
$449$	−0.711314	+	1.10683i	−0.0335690	+	0.0522344i	−0.857633	−	0.514263i	$-0.828066\pi$
$449$	−0.711314	+	1.10683i	−0.0335690	+	0.0522344i	0.824064	+	0.566497i	$0.191702\pi$
$450$	−6.45412	+	32.6235i	−0.304250	+	1.53789i
$451$	18.0390	+	18.9188i	0.849423	+	0.890849i
$452$	−0.512117	−	0.205021i	−0.0240880	−	0.00964337i
$453$	−21.8149	−	7.61031i	−1.02496	−	0.357563i
$454$	26.5906	−	12.1435i	1.24796	−	0.569923i
$455$	−19.6819	+	9.46861i	−0.922702	+	0.443895i
$456$	1.56289	+	0.718394i	0.0731890	+	0.0336419i
$457$	8.40681	+	20.9992i	0.393254	+	0.982301i	0.984433	+	0.175761i	$0.0562385\pi$
$457$	8.40681	+	20.9992i	0.393254	+	0.982301i	−0.591179	+	0.806541i	$0.701337\pi$
$458$	1.60796	+	33.7552i	0.0751350	+	1.57728i
$459$	20.8246	+	12.2286i	0.972007	+	0.570785i
$460$	−3.38908	+	12.3917i	−0.158017	+	0.577767i
$461$		−	19.8404i		−	0.924058i	−0.886865	−	0.462029i	$-0.847122\pi$
$461$		−	19.8404i		−	0.924058i	0.886865	−	0.462029i	$-0.152878\pi$
$462$	−16.7407	−	5.46711i	−0.778847	−	0.254353i
$463$	−5.10984	+	35.5397i	−0.237475	+	1.65167i	0.426920	+	0.904289i	$0.359599\pi$
$463$	−5.10984	+	35.5397i	−0.237475	+	1.65167i	−0.664394	+	0.747382i	$0.731310\pi$
$464$	0.932328	+	9.76378i	0.0432822	+	0.453272i
$465$	25.2017	+	6.17949i	1.16870	+	0.286567i
$466$	−14.7145	−	1.40507i	−0.681637	−	0.0650884i
$467$	7.80238	−	22.5435i	0.361051	−	1.04319i	−0.607489	−	0.794328i	$-0.707823\pi$
$467$	7.80238	−	22.5435i	0.361051	−	1.04319i	0.968540	−	0.248860i	$-0.0800558\pi$
$468$	−0.619621	−	4.46524i	−0.0286420	−	0.206406i
$469$	8.09020	−	3.42810i	0.373571	−	0.158295i
$470$	17.6281	−	20.3440i	0.813126	−	0.938397i
$471$	−0.468546	+	9.35237i	−0.0215895	+	0.430935i
$472$	36.5664	−	18.8513i	1.68311	−	0.867702i
$473$	−34.7596	+	12.0304i	−1.59825	+	0.553160i
$474$	2.86974	−	0.688729i	0.131812	−	0.0316343i
$475$	−3.10235	+	0.446051i	−0.142346	+	0.0204662i
$476$	−6.60035	−	5.49202i	−0.302527	−	0.251726i
$477$	6.47028	+	14.3542i	0.296254	+	0.657234i
$478$	23.5056	+	22.4125i	1.07512	+	1.02512i
$479$	−15.1999	−	21.3453i	−0.694503	−	0.975293i	−0.999735	−	0.0230152i	$-0.992673\pi$
$479$	−15.1999	−	21.3453i	−0.694503	−	0.975293i	0.305232	−	0.952278i	$-0.401266\pi$
$480$	19.5119	+	15.4221i	0.890593	+	0.703919i
$481$	5.25039	−	10.1843i	0.239397	−	0.464366i
$482$	−17.9213			−0.816293
$483$	9.35749	−	19.8856i	0.425780	−	0.904826i
$484$	0.241270			0.0109668
$485$	−14.6045	+	28.3288i	−0.663156	+	1.28634i
$486$	13.8440	+	11.1651i	0.627977	+	0.506457i
$487$	−16.4377	−	23.0836i	−0.744865	−	1.04602i	−0.996929	−	0.0783064i	$-0.975049\pi$
$487$	−16.4377	−	23.0836i	−0.744865	−	1.04602i	0.252064	−	0.967711i	$-0.418891\pi$
$488$	−6.88367	−	6.56357i	−0.311609	−	0.297119i
$489$	2.34656	−	1.06468i	0.106115	−	0.0481464i
$490$	−15.5199	+	26.4155i	−0.701116	+	1.19333i
$491$	10.5211	−	1.51270i	0.474809	−	0.0682672i	0.0992435	−	0.995063i	$-0.468358\pi$
$491$	10.5211	−	1.51270i	0.474809	−	0.0682672i	0.375565	+	0.926796i	$0.377449\pi$
$492$	2.19050	+	9.12721i	0.0987554	+	0.411486i
$493$	−20.3598	+	7.04658i	−0.916957	+	0.317362i
$494$	−0.703967	+	0.362920i	−0.0316730	+	0.0163286i
$495$	−2.03475	+	38.7106i	−0.0914552	+	1.73991i
$496$	−5.41100	+	6.24463i	−0.242961	+	0.280392i
$497$	−20.1217	−	15.1826i	−0.902584	−	0.681033i
$498$	−1.56538	−	11.0807i	−0.0701462	−	0.496537i
$499$	8.85191	−	25.5759i	0.396266	−	1.14494i	−0.553736	−	0.832692i	$-0.686798\pi$
$499$	8.85191	−	25.5759i	0.396266	−	1.14494i	0.950002	−	0.312243i	$-0.101080\pi$
$500$	−12.5759	−	1.20085i	−0.562410	−	0.0537037i
$501$	−8.42050	+	34.3412i	−0.376200	+	1.53425i
$502$	−0.741385	−	7.76413i	−0.0330896	−	0.346530i
$503$	2.81790	−	19.5989i	0.125644	−	0.873874i	−0.825340	−	0.564635i	$-0.809017\pi$
$503$	2.81790	−	19.5989i	0.125644	−	0.873874i	0.950985	−	0.309238i	$-0.100074\pi$
$504$	−16.2784	−	18.2234i	−0.725097	−	0.811736i
$505$			9.82441i			0.437181i
$506$	2.28257	−	18.2884i	0.101473	−	0.813020i
$507$	−12.5359	−	7.27875i	−0.556739	−	0.323260i
$508$	−0.0890199	−	1.86876i	−0.00394962	−	0.0829127i
$509$	5.19589	+	12.9787i	0.230304	+	0.575271i	0.997837	−	0.0657381i	$-0.0209402\pi$
$509$	5.19589	+	12.9787i	0.230304	+	0.575271i	−0.767533	+	0.641009i	$0.778516\pi$
$510$	14.7147	−	32.0124i	0.651579	−	1.41753i
$511$	−9.70495	−	6.62242i	−0.429322	−	0.292958i
$512$	−19.0540	+	8.70168i	−0.842076	+	0.384563i
$513$	−0.559896	+	1.57993i	−0.0247200	+	0.0697556i
$514$	−13.2438	−	5.30200i	−0.584158	−	0.233861i
$515$	−28.8817	−	30.2902i	−1.27268	−	1.33475i
$516$	−12.9629	−	2.53144i	−0.570658	−	0.111441i
$517$	11.2002	−	17.4279i	0.492585	−	0.766477i
$518$	−1.84747	−	15.9661i	−0.0811733	−	0.701512i
$519$	−4.94404	+	5.67748i	−0.217019	+	0.249214i
$520$	−24.6975	+	5.99154i	−1.08306	+	0.262746i
$521$	26.0567	+	10.4315i	1.14156	+	0.457013i	0.863899	−	0.503665i	$-0.168015\pi$
$521$	26.0567	+	10.4315i	1.14156	+	0.457013i	0.277664	+	0.960678i	$0.410440\pi$
$522$	−15.5947	+	2.92621i	−0.682561	+	0.128077i
$523$	−3.10796	−	2.21317i	−0.135902	−	0.0967750i	0.510084	−	0.860124i	$-0.329614\pi$
$523$	−3.10796	−	2.21317i	−0.135902	−	0.0967750i	−0.645986	+	0.763349i	$0.723554\pi$
$524$	−2.74315	−	9.34232i	−0.119835	−	0.408121i
$525$	42.9344	+	11.7927i	1.87381	+	0.514675i
$526$	−19.3399	−	2.78066i	−0.843260	−	0.121242i
$527$	−16.1325	−	8.31688i	−0.702743	−	0.362289i
$528$	−10.6749	−	6.19815i	−0.464563	−	0.269740i
$529$	22.2944	+	5.65318i	0.969323	+	0.245790i
$530$	19.8933	−	11.4854i	0.864110	−	0.498894i
$531$	21.5083	+	33.8320i	0.933381	+	1.46818i
$532$	0.287608	−	0.521988i	0.0124694	−	0.0226311i
$533$	−15.1913	−	6.93766i	−0.658010	−	0.300503i
$534$	4.22551	+	4.04889i	0.182856	+	0.175213i
$535$	75.1784	+	7.17867i	3.25025	+	0.310361i
$536$	10.0391	−	1.93488i	0.433623	−	0.0835739i
$537$	−26.9241	+	21.0665i	−1.16186	+	0.909086i
$538$	33.9616	+	9.97204i	1.46419	+	0.429925i
$539$	−8.92923	+	21.8220i	−0.384609	+	0.939940i
$540$	−7.61140	+	11.6538i	−0.327542	+	0.501498i
$541$	−1.33316	+	27.9865i	−0.0573170	+	1.20323i	0.768708	+	0.639599i	$0.220900\pi$
$541$	−1.33316	+	27.9865i	−0.0573170	+	1.20323i	−0.826025	+	0.563633i	$0.809403\pi$
$542$	13.7904	−	4.77292i	0.592350	−	0.205014i
$543$	23.2436	−	22.0539i	0.997477	−	0.946423i
$544$	−10.7538	−	13.6745i	−0.461064	−	0.586291i
$545$	6.14528	−	5.32492i	0.263235	−	0.228094i
$546$	11.2273	−	0.732405i	0.480482	−	0.0313441i
$547$	6.24131	−	1.83261i	0.266859	−	0.0783569i	−0.145566	−	0.989349i	$-0.546500\pi$
$547$	6.24131	−	1.83261i	0.266859	−	0.0783569i	0.412425	+	0.910992i	$0.364682\pi$
$548$	−7.78405	+	0.743286i	−0.332518	+	0.0317516i
$549$	5.76524	−	7.25741i	0.246054	−	0.309739i
$550$	37.2963	−	1.77664i	1.59032	−	0.0757563i
$551$	−0.747700	−	1.29506i	−0.0318531	−	0.0551712i
$552$	15.4806	−	20.3543i	0.658897	−	0.866335i
$553$	−0.640424	−	3.89900i	−0.0272336	−	0.165802i
$554$	8.80290	+	13.6976i	0.373999	+	0.581954i
$555$	−32.8764	+	13.0681i	−1.39553	+	0.554709i
$556$	6.47349	+	9.09075i	0.274537	+	0.385534i
$557$	1.81049	−	7.46294i	0.0767129	−	0.316215i	−0.920507	−	0.390725i	$-0.872224\pi$
$557$	1.81049	−	7.46294i	0.0767129	−	0.316215i	0.997220	+	0.0745104i	$0.0237394\pi$
$558$	−10.8501	−	7.80699i	−0.459322	−	0.330496i
$559$	17.7598	−	15.3890i	0.751160	−	0.650884i
$560$	−14.5053	+	15.8350i	−0.612959	+	0.669151i
$561$	7.70293	−	25.9973i	0.325218	−	1.09760i
$562$	4.87592	−	25.2987i	0.205678	−	1.06716i
$563$	−18.6902	+	9.63545i	−0.787697	+	0.406086i	−0.804634	−	0.593771i	$-0.797639\pi$
$563$	−18.6902	+	9.63545i	−0.787697	+	0.406086i	0.0169377	+	0.999857i	$0.494608\pi$
$564$	6.62021	−	3.39239i	0.278761	−	0.142845i
$565$	−2.97570	−	0.573518i	−0.125188	−	0.0241281i
$566$	29.1053	+	8.54610i	1.22339	+	0.359219i
$567$	16.2559	−	17.3996i	0.682683	−	0.730715i
$568$	−19.2074	−	22.1665i	−0.805924	−	0.930085i
$569$	−4.25656	+	5.97750i	−0.178444	+	0.250590i	−0.894104	−	0.447859i	$-0.852187\pi$
$569$	−4.25656	+	5.97750i	−0.178444	+	0.250590i	0.715660	+	0.698449i	$0.246126\pi$
$570$	2.37509	+	0.582374i	0.0994815	+	0.0243930i
$571$	−14.8940	+	10.6060i	−0.623296	+	0.443847i	−0.847573	−	0.530678i	$-0.821937\pi$
$571$	−14.8940	+	10.6060i	−0.623296	+	0.443847i	0.224277	+	0.974525i	$0.427998\pi$
$572$	−4.69892	+	1.88116i	−0.196472	+	0.0786554i
$573$	3.05807	+	4.78425i	0.127753	+	0.199865i
$574$	−23.1167	+	3.79700i	−0.964874	+	0.158484i
$575$	−3.56429	+	46.4600i	−0.148641	+	1.93751i
$576$	−12.6446	−	22.1519i	−0.526859	−	0.922994i
$577$	−1.12192	−	23.5521i	−0.0467063	−	0.980487i	−0.893639	−	0.448787i	$-0.851856\pi$
$577$	−1.12192	−	23.5521i	−0.0467063	−	0.980487i	0.846933	−	0.531700i	$-0.178447\pi$
$578$	−3.24432	+	4.12549i	−0.134946	+	0.171598i
$579$	−3.33731	−	35.8815i	−0.138694	−	1.49118i
$580$	−3.49850	−	11.9148i	−0.145267	−	0.494734i
$581$	−14.9484	+	1.01205i	−0.620166	+	0.0419870i
$582$	12.4345	−	10.7212i	0.515427	−	0.444407i
$583$	13.8959	−	10.9279i	0.575511	−	0.452587i
$584$	−9.43413	−	9.89423i	−0.390387	−	0.409426i
$585$	−7.98486	−	23.4429i	−0.330133	−	0.969244i
$586$	−5.53788	−	0.263802i	−0.228768	−	0.0108976i
$587$	2.75530	−	4.28734i	0.113724	−	0.176957i	−0.779726	−	0.626121i	$-0.784642\pi$
$587$	2.75530	−	4.28734i	0.113724	−	0.176957i	0.893450	+	0.449164i	$0.148278\pi$
$588$	−6.70728	+	5.16634i	−0.276604	+	0.213056i
$589$	0.354923	−	1.20876i	0.0146244	−	0.0498060i
$590$	45.9748	−	36.1550i	1.89275	−	1.48848i
$591$	−41.7268	+	7.93589i	−1.71641	+	0.326439i
$592$	1.07087	−	11.2147i	0.0440126	−	0.460921i
$593$	−6.66366	+	6.98865i	−0.273644	+	0.286989i	−0.846188	−	0.532885i	$-0.821108\pi$
$593$	−6.66366	+	6.98865i	−0.273644	+	0.286989i	0.572544	+	0.819874i	$0.305956\pi$
$594$	8.42901	−	18.1026i	0.345846	−	0.742757i
$595$	−41.3145	−	22.7637i	−1.69373	−	0.933220i
$596$	1.46694	−	0.942743i	0.0600881	−	0.0386162i
$597$	−1.34337	−	2.34005i	−0.0549806	−	0.0957720i
$598$	2.98870	+	11.3891i	0.122217	+	0.465735i
$599$	33.9404	+	19.5955i	1.38677	+	0.800650i	0.992950	−	0.118538i	$-0.0378207\pi$
$599$	33.9404	+	19.5955i	1.38677	+	0.800650i	0.393818	+	0.919189i	$0.371154\pi$
$600$	45.9902	+	23.8528i	1.87754	+	0.973788i
$601$	2.62706	−	18.2716i	0.107160	−	0.745314i	−0.863411	−	0.504500i	$-0.831677\pi$
$601$	2.62706	−	18.2716i	0.107160	−	0.745314i	0.970571	−	0.240814i	$-0.0774142\pi$
$602$	8.65259	−	31.8079i	0.352653	−	1.29639i
$603$	2.75988	+	9.57311i	0.112391	+	0.389847i
$604$	−5.40305	+	7.58752i	−0.219847	+	0.308732i
$605$	1.30150	−	0.250843i	0.0529133	−	0.0101982i
$606$	1.89249	−	4.69375i	0.0768772	−	0.190671i
$607$	−0.0357489	−	0.147359i	−0.00145101	−	0.00598112i	0.971081	−	0.238748i	$-0.0767371\pi$
$607$	−0.0357489	−	0.147359i	−0.00145101	−	0.00598112i	−0.972532	+	0.232767i	$0.925222\pi$
$608$	0.790728	−	0.912549i	0.0320683	−	0.0370087i
$609$	2.38995	+	21.1084i	0.0968455	+	0.855357i
$610$	−11.3756	−	7.31066i	−0.460585	−	0.296000i
$611$	−2.50480	+	12.9961i	−0.101333	+	0.525768i
$612$	7.07929	−	6.68397i	0.286163	−	0.270183i
$613$	13.1799	−	32.9217i	0.532330	−	1.32970i	−0.381789	−	0.924249i	$-0.624692\pi$
$613$	13.1799	−	32.9217i	0.532330	−	1.32970i	0.914119	−	0.405446i	$-0.132884\pi$
$614$	−9.58978	−	3.31905i	−0.387012	−	0.133946i
$615$	21.3057	+	46.9579i	0.859127	+	1.89353i
$616$	−15.4638	+	22.6618i	−0.623055	+	0.913069i
$617$	4.56325	−	9.99212i	0.183709	−	0.402267i	−0.795262	−	0.606266i	$-0.792667\pi$
$617$	4.56325	−	9.99212i	0.183709	−	0.402267i	0.978971	+	0.203999i	$0.0653939\pi$
$618$	7.96377	+	20.0351i	0.320350	+	0.805929i
$619$	−48.2739	+	2.29957i	−1.94029	+	0.0924275i	−0.981474	−	0.191596i	$-0.938634\pi$
$619$	−48.2739	+	2.29957i	−1.94029	+	0.0924275i	−0.958817	+	0.284024i	$0.908331\pi$
$620$	5.23063	−	9.05972i	0.210067	−	0.363847i
$621$	21.1143	+	13.2358i	0.847288	+	0.531134i
$622$	−4.20059			−0.168429
$623$	5.81768	−	5.24838i	0.233080	−	0.210272i
$624$	7.80312	+	1.14150i	0.312375	+	0.0456965i
$625$	−20.7270	+	1.97918i	−0.829078	+	0.0791674i
$626$	−0.739352	+	3.04765i	−0.0295504	+	0.121809i
$627$	1.87302	+	0.183498i	0.0748014	+	0.00732821i
$628$	3.56758	+	1.23475i	0.142362	+	0.0492720i
$629$	24.4944	−	3.52176i	0.976656	−	0.140422i
$630$	−27.6279	−	21.0601i	−1.10072	−	0.839056i
$631$	15.7452	+	13.6433i	0.626806	+	0.543131i	0.909301	−	0.416138i	$-0.136617\pi$
$631$	15.7452	+	13.6433i	0.626806	+	0.543131i	−0.282495	+	0.959269i	$0.591162\pi$
$632$	0.218763	−	4.59239i	0.00870191	−	0.182676i
$633$	0.494216	+	0.964457i	0.0196433	+	0.0383337i
$634$	−0.582375	−	1.68266i	−0.0231291	−	0.0668271i
$635$	−2.42311	−	9.98818i	−0.0961580	−	0.396369i
$636$	6.28536	−	0.887938i	0.249231	−	0.0352090i
$637$	0.114485	−	15.0631i	0.00453605	−	0.596822i
$638$	7.40055	+	16.2049i	0.292990	+	0.641560i
$639$	19.8254	−	20.5887i	0.784279	−	0.814475i
$640$	−6.91893	+	4.92695i	−0.273495	+	0.194755i
$641$	3.19991	+	2.51644i	0.126389	+	0.0993934i	0.679353	−	0.733812i	$-0.262261\pi$
$641$	3.19991	+	2.51644i	0.126389	+	0.0993934i	−0.552964	+	0.833205i	$0.686503\pi$
$642$	−34.5347	−	17.9114i	−1.36298	−	0.706908i
$643$			15.0701i			0.594306i	0.954830	+	0.297153i	$0.0960372\pi$
$643$			15.0701i			0.594306i	−0.954830	+	0.297153i	$0.903963\pi$
$644$	−6.64388	−	5.86209i	−0.261805	−	0.230999i
$645$	−72.5581	−	0.178310i	−2.85697	−	0.00702094i
$646$	−1.52038	−	0.783809i	−0.0598184	−	0.0308385i
$647$	−13.7889	+	17.5340i	−0.542096	+	0.689331i	−0.977508	−	0.210900i	$-0.932360\pi$
$647$	−13.7889	+	17.5340i	−0.542096	+	0.689331i	0.435412	+	0.900232i	$0.356603\pi$
$648$	22.7263	−	15.8490i	0.892773	−	0.622606i
$649$	31.0618	−	32.5767i	1.21928	−	1.27875i
$650$	−21.6991	+	9.90964i	−0.851108	+	0.388688i
$651$	−11.4805	+	13.7286i	−0.449956	+	0.538066i
$652$	−0.147845	−	1.02828i	−0.00579006	−	0.0402707i
$653$	17.0178	−	4.12849i	0.665960	−	0.161560i	0.111492	−	0.993765i	$-0.464437\pi$
$653$	17.0178	−	4.12849i	0.665960	−	0.161560i	0.554468	+	0.832205i	$0.312922\pi$
$654$	−3.96174	+	1.36028i	−0.154916	+	0.0531911i
$655$	−24.5105	−	47.5437i	−0.957705	−	1.85769i
$656$	−16.4016	−	0.781303i	−0.640374	−	0.0305048i
$657$	8.77362	−	10.0253i	0.342292	−	0.391125i
$658$	7.24348	+	17.0944i	0.282380	+	0.666407i
$659$	0.829460	+	5.76902i	0.0323112	+	0.224729i	0.999579	−	0.0290304i	$-0.00924195\pi$
$659$	0.829460	+	5.76902i	0.0323112	+	0.224729i	−0.967267	+	0.253759i	$0.918333\pi$
$660$	14.7559	+	5.14771i	0.574373	+	0.200374i
$661$	−2.28558	+	23.9357i	−0.0888989	+	0.930992i	0.835481	+	0.549519i	$0.185189\pi$
$661$	−2.28558	+	23.9357i	−0.0888989	+	0.930992i	−0.924380	+	0.381473i	$0.875417\pi$
$662$	−17.2698	−	4.18960i	−0.671208	−	0.162833i
$663$	1.60425	+	17.2483i	0.0623040	+	0.669870i
$664$	−17.2561	−	2.48105i	−0.669666	−	0.0962835i
$665$	1.00876	−	3.11481i	0.0391179	−	0.120787i
$666$	18.2245	+	0.0895730i	0.706184	+	0.00347088i
$667$	−21.2109	+	6.65979i	−0.821291	+	0.257868i
$668$	12.3453	+	7.12754i	0.477652	+	0.275773i
$669$	−25.6301	+	1.15779i	−0.990916	+	0.0447628i
$670$	13.4940	−	5.40219i	0.521320	−	0.208705i
$671$	−9.46615	−	4.32304i	−0.365437	−	0.166889i
$672$	−15.4756	+	7.39826i	−0.596985	+	0.285394i
$673$	−9.51015	−	20.8243i	−0.366589	−	0.802719i	−0.999592	−	0.0285690i	$-0.990905\pi$
$673$	−9.51015	−	20.8243i	−0.366589	−	0.802719i	0.633002	−	0.774150i	$-0.281822\pi$
$674$	−6.26048	+	18.0885i	−0.241145	+	0.696742i
$675$	−19.1088	+	46.7300i	−0.735498	+	1.79864i
$676$	−4.22959	+	4.03290i	−0.162676	+	0.155112i
$677$	−11.0720	−	2.13395i	−0.425531	−	0.0820144i	−0.0280103	−	0.999608i	$-0.508917\pi$
$677$	−11.0720	−	2.13395i	−0.425531	−	0.0820144i	−0.397521	+	0.917593i	$0.630129\pi$
$678$	1.31120	+	0.847219i	0.0503564	+	0.0325373i
$679$	−13.1061	−	17.6471i	−0.502967	−	0.677234i
$680$	−41.4808	−	35.9433i	−1.59072	−	1.37836i
$681$	43.1524	−	10.3564i	1.65360	−	0.396860i
$682$	−5.57790	+	13.9329i	−0.213589	+	0.533519i
$683$	0.835577	+	4.33539i	0.0319725	+	0.165889i	0.994405	−	0.105630i	$-0.0336860\pi$
$683$	0.835577	+	4.33539i	0.0319725	+	0.165889i	−0.962433	+	0.271519i	$0.912474\pi$
$684$	0.548537	+	0.394689i	0.0209739	+	0.0150913i
$685$	−41.2171	+	12.1024i	−1.57482	+	0.462410i
$686$	−11.6434	−	17.6329i	−0.444547	−	0.673226i
$687$	−7.42585	+	50.7620i	−0.283314	+	1.93669i
$688$	10.5874	−	20.5366i	0.403639	−	0.782951i
$689$	−5.64707	+	9.78101i	−0.215136	+	0.372627i
$690$	16.1345	−	32.5798i	0.614229	−	1.24029i
$691$	20.4055	+	35.3433i	0.776261	+	1.34452i	0.934083	+	0.357056i	$0.116220\pi$
$691$	20.4055	+	35.3433i	0.776261	+	1.34452i	−0.157821	+	0.987468i	$0.550447\pi$
$692$	1.64093	+	2.55333i	0.0623787	+	0.0970631i
$693$	−23.3523	−	13.0168i	−0.887081	−	0.494467i
$694$	−6.38810	+	13.9880i	−0.242489	+	0.530977i
$695$	44.3717	+	42.3083i	1.68312	+	1.60485i
$696$	−2.41009	+	24.6005i	−0.0913541	+	0.932481i
$697$	−6.82602	−	35.4168i	−0.258554	−	1.34151i
$698$	19.4501	+	24.7329i	0.736198	+	0.936152i
$699$	−21.5153	−	6.37494i	−0.813784	−	0.241122i
$700$	9.40079	−	15.2919i	0.355317	−	0.577980i
$701$	−39.6057	−	25.4530i	−1.49589	−	0.961348i	−0.995421	−	0.0955927i	$-0.969525\pi$
$701$	−39.6057	−	25.4530i	−1.49589	−	0.961348i	−0.500467	−	0.865756i	$-0.666838\pi$
$702$	−0.700960	+	12.7383i	−0.0264560	+	0.480776i
$703$	0.561779	+	1.62315i	0.0211879	+	0.0612184i
$704$	−20.7264	+	19.7626i	−0.781156	+	0.744830i
$705$	32.1848	−	25.1826i	1.21215	−	0.948432i
$706$	16.5422	+	19.0907i	0.622573	+	0.718488i
$707$	−6.08345	−	2.98378i	−0.228792	−	0.112217i
$708$	15.5191	−	4.51542i	0.583243	−	0.169700i
$709$	0.164565	+	1.72340i	0.00618037	+	0.0647237i	0.998036	−	0.0626439i	$-0.0199532\pi$
$709$	0.164565	+	1.72340i	0.00618037	+	0.0647237i	−0.991856	+	0.127368i	$0.959347\pi$
$710$	−32.7776	−	25.7766i	−1.23012	−	0.967379i
$711$	4.47621	−	0.191183i	0.167871	−	0.00716993i
$712$	7.89549	−	4.55846i	0.295896	−	0.170836i
$713$	−16.3915	−	9.06072i	−0.613867	−	0.339327i
$714$	15.3536	+	18.8341i	0.574594	+	0.704850i
$715$	−23.3918	+	15.0330i	−0.874804	+	0.562202i
$716$	5.12244	+	12.7952i	0.191435	+	0.478180i
$717$	28.5012	+	40.2332i	1.06440	+	1.50254i
$718$	31.0292	+	7.52760i	1.15800	+	0.280928i
$719$	−14.6303	−	10.4182i	−0.545620	−	0.388534i	0.273749	−	0.961801i	$-0.411736\pi$
$719$	−14.6303	−	10.4182i	−0.545620	−	0.388534i	−0.819369	+	0.573267i	$0.805676\pi$
$720$	−15.8550	−	18.4804i	−0.590881	−	0.688724i
$721$	27.5279	−	8.68456i	1.02519	−	0.323430i
$722$	−6.07383	+	20.6856i	−0.226044	+	0.769837i
$723$	−26.7022	−	5.21451i	−0.993064	−	0.193930i
$724$	−5.91922	−	11.4817i	−0.219986	−	0.426713i
$725$	−20.6387	−	40.0335i	−0.766502	−	1.48681i
$726$	−0.670128	−	0.130865i	−0.0248708	−	0.00485687i
$727$	−10.0050	+	34.0740i	−0.371066	+	1.26374i	0.536526	+	0.843884i	$0.319736\pi$
$727$	−10.0050	+	34.0740i	−0.371066	+	1.26374i	−0.907593	+	0.419852i	$0.862082\pi$
$728$	3.79083	−	17.1128i	0.140498	−	0.634243i
$729$	17.3785	+	20.6637i	0.643647	+	0.765323i
$730$	−15.8322	−	11.2741i	−0.585976	−	0.417272i
$731$	49.3220	+	11.9654i	1.82424	+	0.442556i
$732$	−2.16003	−	3.04917i	−0.0798371	−	0.112701i
$733$	13.6062	+	33.9867i	0.502558	+	1.25533i	0.935314	+	0.353818i	$0.115117\pi$
$733$	13.6062	+	33.9867i	0.502558	+	1.25533i	−0.432757	+	0.901511i	$0.642459\pi$
$734$	15.7591	−	10.1277i	0.581677	−	0.373821i
$735$	−30.8101	+	34.8424i	−1.13645	+	1.28518i
$736$	−10.6834	−	14.4262i	−0.393797	−	0.531757i
$737$	9.68750	−	5.59308i	0.356844	−	0.206024i
$738$	−1.13350	−	26.5390i	−0.0417248	−	0.976912i
$739$	−34.2538	−	26.9375i	−1.26005	−	0.990910i	−0.999677	−	0.0254008i	$-0.991914\pi$
$739$	−34.2538	−	26.9375i	−1.26005	−	0.990910i	−0.260368	−	0.965510i	$-0.583844\pi$
$740$	1.35579	+	14.1985i	0.0498400	+	0.521948i
$741$	−1.15449	+	0.335908i	−0.0424111	+	0.0123399i
$742$	1.07015	+	15.8065i	0.0392864	+	0.580276i
$743$	−12.2171	−	14.0993i	−0.448201	−	0.517252i	0.486019	−	0.873948i	$-0.338449\pi$
$743$	−12.2171	−	14.0993i	−0.448201	−	0.517252i	−0.934220	+	0.356696i	$0.883903\pi$
$744$	−16.4002	+	12.8321i	−0.601259	+	0.470449i
$745$	6.93302	−	6.61062i	0.254006	−	0.242194i
$746$	3.97982	+	11.4989i	0.145711	+	0.421006i
$747$	0.891751	−	16.9653i	0.0326274	−	0.620728i
$748$	−9.19609	−	5.90997i	−0.336242	−	0.216090i
$749$	−27.2777	+	44.3716i	−0.996705	+	1.62130i
$750$	34.2782	+	10.1565i	1.25166	+	0.370865i
$751$	−10.0729	−	12.8088i	−0.367567	−	0.467399i	0.566726	−	0.823907i	$-0.308210\pi$
$751$	−10.0729	−	12.8088i	−0.367567	−	0.467399i	−0.934293	+	0.356507i	$0.883968\pi$
$752$	2.46275	+	12.7780i	0.0898072	+	0.465964i
$753$	1.15447	−	11.7840i	0.0420711	−	0.429433i
$754$	−8.23717	−	7.85412i	−0.299980	−	0.286030i
$755$	−21.2574	+	46.5472i	−0.773635	+	1.69403i
$756$	−4.90455	−	8.25249i	−0.178377	−	0.300140i
$757$	−21.9519	−	34.1578i	−0.797854	−	1.24148i	−0.966718	−	0.255846i	$-0.917646\pi$
$757$	−21.9519	−	34.1578i	−0.797854	−	1.24148i	0.168864	−	0.985639i	$-0.445990\pi$
$758$	11.1933	+	19.3874i	0.406560	+	0.704182i
$759$	8.72228	−	26.5850i	0.316599	−	0.964974i
$760$	1.90483	−	3.29926i	0.0690955	−	0.119677i
$761$	4.55189	−	8.82943i	0.165006	−	0.320066i	−0.791807	−	0.610771i	$-0.790859\pi$
$761$	4.55189	−	8.82943i	0.165006	−	0.320066i	0.956813	+	0.290705i	$0.0938898\pi$
$762$	−0.766365	+	5.23876i	−0.0277625	+	0.189780i
$763$	1.43089	+	5.42251i	0.0518018	+	0.196308i
$764$	2.19645	−	0.644935i	0.0794646	−	0.0233329i
$765$	31.2390	−	43.4158i	1.12945	−	1.56970i
$766$	4.70128	+	24.3925i	0.169864	+	0.881338i
$767$	−10.6879	+	26.6971i	−0.385919	+	0.963978i
$768$	−24.3846	+	5.85224i	−0.879905	+	0.211174i
$769$	10.5369	+	9.13026i	0.379970	+	0.329246i	0.823816	−	0.566857i	$-0.191841\pi$
$769$	10.5369	+	9.13026i	0.379970	+	0.329246i	−0.443846	+	0.896103i	$0.646386\pi$
$770$	−15.4902	+	35.7966i	−0.558229	+	1.29002i
$771$	−18.1901	−	11.7533i	−0.655099	−	0.423285i
$772$	−14.2658	−	2.74951i	−0.513438	−	0.0989571i
$773$	−24.1494	+	23.0264i	−0.868593	+	0.828202i	−0.986320	−	0.164844i	$-0.947288\pi$
$773$	−24.1494	+	23.0264i	−0.868593	+	0.828202i	0.117727	+	0.993046i	$0.462439\pi$
$774$	34.6313	+	14.0622i	1.24480	+	0.505454i
$775$	12.4102	−	35.8570i	0.445789	−	1.28802i
$776$	−10.6252	−	23.2660i	−0.381424	−	0.835201i
$777$	1.89295	−	24.3266i	0.0679090	−	0.872711i
$778$	−16.0096	−	7.31134i	−0.573972	−	0.262124i
$779$	2.32416	−	0.930454i	0.0832718	−	0.0333370i
$780$	−9.97422	+	0.450567i	−0.357134	+	0.0161329i
$781$	−27.7918	−	16.0456i	−0.994467	−	0.574156i
$782$	−16.2922	+	19.5257i	−0.582609	+	0.698239i
$783$	−24.0870	−	0.177582i	−0.860799	−	0.00634628i
$784$	−5.39991	−	13.7912i	−0.192854	−	0.492542i
$785$	20.5285	+	2.95156i	0.732695	+	0.105346i
$786$	2.55182	+	27.4362i	0.0910202	+	0.978616i
$787$	12.7130	+	3.08414i	0.453169	+	0.109938i	0.455846	−	0.890059i	$-0.349337\pi$
$787$	12.7130	+	3.08414i	0.453169	+	0.109938i	−0.00267667	+	0.999996i	$0.500852\pi$
$788$	−1.62775	+	17.0465i	−0.0579860	+	0.607257i
$789$	−28.0067	−	9.77036i	−0.997066	−	0.347834i
$790$	−0.930225	−	6.46986i	−0.0330959	−	0.230187i
$791$	1.25889	−	1.66842i	0.0447608	−	0.0593222i
$792$	−23.4098	−	20.4870i	−0.831832	−	0.727975i
$793$	6.64098	+	0.316349i	0.235828	+	0.0112339i
$794$	−3.07752	−	5.96955i	−0.109217	−	0.211852i
$795$	32.9822	−	11.3246i	1.16976	−	0.401641i
$796$	−1.05715	+	0.256463i	−0.0374698	+	0.00909008i
$797$	−0.200322	−	1.39327i	−0.00709577	−	0.0493521i	0.985966	−	0.166947i	$-0.0533908\pi$
$797$	−0.200322	−	1.39327i	−0.00709577	−	0.0493521i	−0.993062	+	0.117595i	$0.962482\pi$
$798$	−1.08196	+	1.29382i	−0.0383009	+	0.0458009i
$799$	−26.0015	+	11.8745i	−0.919868	+	0.420089i
$800$	25.0970	−	26.3209i	0.887312	−	0.930586i
$801$	5.11778	+	7.26219i	0.180828	+	0.256597i
$802$	10.4327	−	13.2662i	0.368391	−	0.468447i
$803$	−13.2951	−	6.85409i	−0.469173	−	0.241876i
$804$	4.01665	+	0.00987083i	0.141656	+	0.000348117i
$805$	−41.9341	−	24.7147i	−1.47798	−	0.871078i
$806$		−	9.58824i		−	0.337731i
$807$	47.7002	+	24.7397i	1.67913	+	0.870879i
$808$	−6.19739	−	4.87368i	−0.218023	−	0.171455i
$809$	−8.00622	+	5.70121i	−0.281484	+	0.200444i	−0.712075	−	0.702103i	$-0.752244\pi$
$809$	−8.00622	+	5.70121i	−0.281484	+	0.200444i	0.430591	+	0.902547i	$0.358305\pi$
$810$	27.4617	−	28.2399i	0.964906	−	0.992249i
$811$	−8.01443	−	17.5492i	−0.281425	−	0.616234i	0.715146	−	0.698975i	$-0.246360\pi$
$811$	−8.01443	−	17.5492i	−0.281425	−	0.616234i	−0.996571	+	0.0827405i	$0.973633\pi$
$812$	8.44038	+	1.45232i	0.296199	+	0.0509665i
$813$	21.9361	−	3.09893i	0.769331	−	0.108684i
$814$	−4.82413	−	19.8854i	−0.169086	−	0.696981i
$815$	−1.86661	−	5.39322i	−0.0653845	−	0.188916i
$816$	7.76727	+	15.1577i	0.271909	+	0.530627i
$817$	−0.167617	+	3.51871i	−0.00586418	+	0.123104i
$818$	29.7089	+	25.7429i	1.03875	+	0.900081i
$819$	16.9413	+	2.17550i	0.591979	+	0.0760182i
$820$	20.5774	−	2.95858i	0.718593	−	0.103318i
$821$	−35.2431	−	12.1978i	−1.22999	−	0.425705i	−0.366667	−	0.930352i	$-0.619501\pi$
$821$	−35.2431	−	12.1978i	−1.22999	−	0.425705i	−0.863326	+	0.504647i	$0.831623\pi$
$822$	22.0234	+	2.15760i	0.768153	+	0.0752551i
$823$	−2.65309	+	10.9362i	−0.0924810	+	0.381212i	−0.999177	−	0.0405738i	$-0.987081\pi$
$823$	−2.65309	+	10.9362i	−0.0924810	+	0.381212i	0.906696	+	0.421786i	$0.138597\pi$
$824$	33.4351	−	3.19266i	1.16477	−	0.111222i
$825$	56.0872	+	8.20486i	1.95271	+	0.285657i
$826$	8.42475	+	39.4491i	0.293135	+	1.37261i
$827$	44.4045			1.54409			0.772047	−	0.635565i	$-0.219233\pi$
$827$	44.4045			1.54409			0.772047	+	0.635565i	$0.219233\pi$
$828$	7.50180	−	6.68269i	0.260705	−	0.232240i
$829$	−14.3538	+	24.8615i	−0.498527	+	0.863475i	−0.999999	−	0.00169956i	$-0.999459\pi$
$829$	−14.3538	+	24.8615i	−0.498527	+	0.863475i	0.501471	+	0.865174i	$0.332792\pi$
$830$	−24.7571	+	1.17933i	−0.859332	+	0.0409350i
$831$	9.13048	+	22.9703i	0.316733	+	0.796830i
$832$	7.60054	−	16.6429i	0.263501	−	0.576987i
$833$	26.6434	−	18.6691i	0.923138	−	0.646846i
$834$	−13.0493	−	28.7608i	−0.451860	−	0.995905i
$835$	74.0050	+	25.6134i	2.56105	+	0.886387i
$836$	0.281995	−	0.704391i	0.00975302	−	0.0243619i
$837$	−13.8947	−	14.7892i	−0.480272	−	0.511189i
$838$	−0.994538	+	5.16015i	−0.0343557	+	0.178254i
$839$	−7.72647	−	4.96550i	−0.266748	−	0.171428i	0.400429	−	0.916328i	$-0.368861\pi$
$839$	−7.72647	−	4.96550i	−0.266748	−	0.171428i	−0.667177	+	0.744899i	$0.732497\pi$
$840$	−43.5267	+	32.1607i	−1.50181	+	1.10965i
$841$	−4.91837	+	5.67610i	−0.169599	+	0.195728i
$842$	−2.54783	−	10.5023i	−0.0878040	−	0.361933i
$843$	14.6260	−	36.2755i	0.503748	−	1.24939i
$844$	0.429011	−	0.0826851i	0.0147672	−	0.00284614i
$845$	−18.6230	+	26.1523i	−0.640649	+	0.899666i
$846$	−20.2277	+	5.83155i	−0.695442	+	0.200493i
$847$	−0.239952	+	0.882093i	−0.00824487	+	0.0303091i
$848$	−1.58034	+	10.9915i	−0.0542691	+	0.377450i
$849$	40.8794	+	21.2021i	1.40298	+	0.727654i
$850$	−44.6174	−	25.7599i	−1.53037	−	0.883557i
$851$	25.3703	−	2.90050i	0.869684	−	0.0994277i
$852$	−5.73702	−	9.99345i	−0.196547	−	0.342370i
$853$	−25.0830	+	16.1199i	−0.858826	+	0.551934i	−0.894316	−	0.447436i	$-0.852337\pi$
$853$	−25.0830	+	16.1199i	−0.858826	+	0.551934i	0.0354903	+	0.999370i	$0.488701\pi$
$854$	7.98179	−	4.82365i	0.273131	−	0.165062i
$855$	3.36935	+	1.55879i	0.115229	+	0.0533095i
$856$	−41.8228	+	43.8625i	−1.42947	+	1.49919i
$857$	1.71727	−	17.9841i	0.0586609	−	0.614325i	−0.917567	−	0.397580i	$-0.869850\pi$
$857$	1.71727	−	17.9841i	0.0586609	−	0.614325i	0.976228	−	0.216745i	$-0.0695439\pi$
$858$	14.0716	−	2.67623i	0.480396	−	0.0913650i
$859$	−11.0780	+	8.71184i	−0.377977	+	0.297244i	−0.789015	−	0.614374i	$-0.789409\pi$
$859$	−11.0780	+	8.71184i	−0.377977	+	0.297244i	0.411038	+	0.911618i	$0.365166\pi$
$860$	−8.24138	+	28.0676i	−0.281029	+	0.957096i
$861$	−35.5480	−	1.06881i	−1.21147	−	0.0364248i
$862$	−0.413915	+	0.644064i	−0.0140980	+	0.0219369i
$863$	−22.8566	−	1.08880i	−0.778049	−	0.0370630i	−0.345200	−	0.938529i	$-0.612189\pi$
$863$	−22.8566	−	1.08880i	−0.778049	−	0.0370630i	−0.432849	+	0.901466i	$0.642492\pi$
$864$	−6.22573	−	18.4265i	−0.211804	−	0.626881i
$865$	11.5064	+	12.0675i	0.391228	+	0.410308i
$866$	0.338283	−	0.266028i	0.0114953	−	0.00904001i
$867$	−6.03430	+	5.20285i	−0.204936	+	0.176698i
$868$	4.02134	+	5.99044i	0.136493	+	0.203329i
$869$	−1.41721	−	4.82658i	−0.0480756	−	0.163730i
$870$	3.25447	+	34.9909i	0.110337	+	1.18630i
$871$	−4.41772	+	5.61759i	−0.149689	+	0.190345i
$872$	0.310496	+	6.51812i	0.0105147	+	0.220731i
$873$	21.6465	−	12.3562i	0.732623	−	0.418193i
$874$	−1.54479	−	0.853910i	−0.0522532	−	0.0288839i
$875$	16.8976	−	44.7836i	0.571242	−	1.51396i
$876$	−2.89266	−	4.52549i	−0.0977341	−	0.152902i
$877$	18.9242	−	7.57611i	0.639025	−	0.255827i	−0.0294446	−	0.999566i	$-0.509374\pi$
$877$	18.9242	−	7.57611i	0.639025	−	0.255827i	0.668470	+	0.743739i	$0.266950\pi$
$878$	−11.1134	+	7.91381i	−0.375059	+	0.267078i
$879$	−8.17450	−	2.00440i	−0.275719	−	0.0676066i
$880$	−15.8582	+	22.2698i	−0.534581	+	0.750713i
$881$	8.40082	+	9.69506i	0.283031	+	0.326635i	0.879408	−	0.476070i	$-0.157939\pi$
$881$	8.40082	+	9.69506i	0.283031	+	0.326635i	−0.596377	+	0.802705i	$0.703394\pi$
$882$	21.4317	−	10.7115i	0.721643	−	0.360674i
$883$	44.9538	+	13.1996i	1.51282	+	0.444203i	0.929740	−	0.368216i	$-0.120031\pi$
$883$	44.9538	+	13.1996i	1.51282	+	0.444203i	0.583075	+	0.812418i	$0.301849\pi$
$884$	6.85762	+	1.32170i	0.230647	+	0.0444535i
$885$	79.0208	−	40.4926i	2.65626	−	1.36114i
$886$	−27.3481	+	14.0989i	−0.918777	+	0.473663i
$887$	−2.91233	+	15.1106i	−0.0977866	+	0.507365i	0.899700	+	0.436509i	$0.143785\pi$
$887$	−2.91233	+	15.1106i	−0.0977866	+	0.507365i	−0.997487	+	0.0708561i	$0.977427\pi$
$888$	8.06573	−	27.2217i	0.270668	−	0.913501i
$889$	6.92079	+	1.53309i	0.232116	+	0.0514182i
$890$	9.79565	−	8.48798i	0.328351	−	0.284518i
$891$	17.8262	−	24.5197i	0.597200	−	0.821440i
$892$	−2.43858	+	10.0519i	−0.0816496	+	0.336564i
$893$	−1.15086	−	1.61615i	−0.0385119	−	0.0540824i
$894$	−4.58576	+	1.82280i	−0.153371	+	0.0609635i
$895$	40.9351	+	63.6963i	1.36831	+	2.12913i
$896$	−0.949497	−	5.78069i	−0.0317205	−	0.193119i
$897$	1.13922	+	17.8390i	0.0380374	+	0.595626i
$898$	−0.750550	−	1.29999i	−0.0250462	−	0.0433813i
$899$	18.0831	−	0.861404i	0.603105	−	0.0287294i
$900$	15.9372	+	12.6604i	0.531239	+	0.422014i
$901$	−24.2818	+	2.31863i	−0.808944	+	0.0772448i
$902$	−28.6162	+	8.40248i	−0.952816	+	0.279772i
$903$	22.1471	−	44.8751i	0.737010	−	1.49335i
$904$	1.83796	−	1.59260i	0.0611297	−	0.0529692i
$905$	−43.8676	−	55.7822i	−1.45821	−	1.85426i
$906$	19.1225	−	18.1437i	0.635301	−	0.602785i
$907$	51.6321	−	17.8701i	1.71442	−	0.593366i	0.719540	−	0.694451i	$-0.244353\pi$
$907$	51.6321	−	17.8701i	1.71442	−	0.593366i	0.994878	+	0.101086i	$0.0322316\pi$
$908$	0.851301	−	17.8710i	0.0282514	−	0.593070i
$909$	4.18547	−	6.44288i	0.138823	−	0.213697i
$910$	0.687678	−	24.9095i	0.0227963	−	0.825742i
$911$	−41.1917	−	12.0950i	−1.36474	−	0.400724i	−0.484309	−	0.874897i	$-0.660929\pi$
$911$	−41.1917	−	12.0950i	−1.36474	−	0.400724i	−0.880432	+	0.474173i	$0.842747\pi$
$912$	−0.931046	+	0.728487i	−0.0308300	+	0.0241226i
$913$	−18.7297	+	3.60986i	−0.619864	+	0.119469i
$914$	−25.6903	−	2.45312i	−0.849759	−	0.0811421i
$915$	−14.8221	−	14.2026i	−0.490004	−	0.469522i
$916$	18.8139	+	8.59201i	0.621628	+	0.283888i
$917$	36.8841	−	0.737774i	1.21802	−	0.0243634i
$918$	−23.2881	+	14.7249i	−0.768623	+	0.485994i
$919$	35.6634	−	20.5903i	1.17643	−	0.679210i	0.221241	−	0.975219i	$-0.428989\pi$
$919$	35.6634	−	20.5903i	1.17643	−	0.679210i	0.955185	+	0.296009i	$0.0956559\pi$
$920$	−41.7117	−	38.3140i	−1.37519	−	1.26317i
$921$	−13.3227	−	7.73559i	−0.438998	−	0.254896i
$922$	20.1200	+	10.3726i	0.662617	+	0.341603i
$923$	20.2936	+	2.91778i	0.667972	+	0.0960399i
$924$	−7.66909	+	7.57370i	−0.252294	+	0.249157i
$925$	14.5750	+	49.6379i	0.479223	+	1.63208i
$926$	−33.3692	−	23.7621i	−1.09658	−	0.780871i
$927$	6.03620	+	32.1688i	0.198255	+	1.05656i
$928$	16.1089	+	6.44903i	0.528801	+	0.211700i
$929$	37.0429	−	8.98651i	1.21534	−	0.294838i	0.423685	−	0.905809i	$-0.360736\pi$
$929$	37.0429	−	8.98651i	1.21534	−	0.294838i	0.791652	+	0.610972i	$0.209221\pi$
$930$	−19.4421	+	22.3263i	−0.637532	+	0.732108i
$931$	1.62237	+	1.57064i	0.0531711	+	0.0514757i
$932$	−4.89109	+	7.61068i	−0.160213	+	0.249296i
$933$	−6.25875	−	1.22223i	−0.204902	−	0.0400141i
$934$	18.7821	+	19.6981i	0.614570	+	0.644542i
$935$	−55.7514	−	22.3195i	−1.82326	−	0.729925i
$936$	18.7492	+	6.59254i	0.612838	+	0.215484i
$937$	−30.3739	+	13.8713i	−0.992272	+	0.453155i	−0.844320	−	0.535839i	$-0.819995\pi$
$937$	−30.3739	+	13.8713i	−0.992272	+	0.453155i	−0.147952	+	0.988995i	$0.547268\pi$
$938$	−0.753152	+	9.99645i	−0.0245913	+	0.326396i
$939$	−1.98837	+	4.32577i	−0.0648882	+	0.141166i
$940$	−6.12330	−	15.2953i	−0.199720	−	0.498877i
$941$	1.19839	+	25.1572i	0.0390663	+	0.820102i	0.930354	+	0.366663i	$0.119500\pi$
$941$	1.19839	+	25.1572i	0.0390663	+	0.820102i	−0.891287	+	0.453439i	$0.850197\pi$
$942$	−9.23923	−	5.36459i	−0.301030	−	0.174788i
$943$	−5.98228	−	36.7351i	−0.194810	−	1.19626i
$944$			28.2743i			0.920250i
$945$	−35.0368	−	39.4177i	−1.13975	−	1.28226i
$946$	5.97242	−	41.5391i	0.194180	−	1.35055i
$947$	−3.86287	−	40.4538i	−0.125526	−	1.31457i	−0.810386	−	0.585896i	$-0.800743\pi$
$947$	−3.86287	−	40.4538i	−0.125526	−	1.31457i	0.684860	−	0.728675i	$-0.259863\pi$
$948$	0.430156	−	1.75430i	0.0139708	−	0.0569770i
$949$	9.51296	+	0.908377i	0.308804	+	0.0294872i
$950$	1.16958	−	3.37927i	0.0379461	−	0.109638i
$951$	−0.378121	−	2.67656i	−0.0122614	−	0.0867935i
$952$	34.8549	−	14.7693i	1.12965	−	0.478674i
$953$	4.09350	−	4.72415i	0.132601	−	0.153030i	−0.685566	−	0.728011i	$-0.740445\pi$
$953$	4.09350	−	4.72415i	0.132601	−	0.153030i	0.818167	+	0.574981i	$0.194990\pi$
$954$	−17.9392	−	0.942941i	−0.580803	−	0.0305288i
$955$	11.1779	−	5.76260i	0.361708	−	0.186473i
$956$	18.7846	−	6.50143i	0.607539	−	0.210271i
$957$	6.31147	+	26.2981i	0.204021	+	0.850098i
$958$	29.5927	−	4.25479i	0.956098	−	0.137466i
$959$	5.02405	−	29.1980i	0.162235	−	0.942853i
$960$	−51.4447	+	23.3414i	−1.66037	+	0.753340i
$961$	−11.3979	−	10.8679i	−0.367675	−	0.350577i
$962$	7.58296	+	10.6488i	0.244485	+	0.343331i
$963$	−46.2439	−	36.7359i	−1.49019	−	1.18380i
$964$	−5.02608	+	9.74923i	−0.161879	+	0.314002i
$965$	−79.8134			−2.56928
$966$	15.2738	+	19.8856i	0.491425	+	0.639809i
$967$	−4.27104			−0.137347			−0.0686737	−	0.997639i	$-0.521877\pi$
$967$	−4.27104			−0.137347			−0.0686737	+	0.997639i	$0.521877\pi$
$968$	−0.487409	+	0.945441i	−0.0156659	+	0.0303876i
$969$	−2.03725	−	1.61023i	−0.0654458	−	0.0517280i
$970$	−21.0928	−	29.6207i	−0.677248	−	0.951062i
$971$	−3.87501	−	3.69481i	−0.124355	−	0.118572i	0.625350	−	0.780344i	$-0.284956\pi$
$971$	−3.87501	−	3.69481i	−0.124355	−	0.118572i	−0.749705	+	0.661772i	$0.769805\pi$
$972$	9.95641	−	4.39990i	0.319352	−	0.141127i
$973$	−39.6743	+	14.6262i	−1.27190	+	0.468896i
$974$	32.0026	−	4.60128i	1.02543	−	0.147435i
$975$	−35.2143	+	8.45131i	−1.12776	+	0.270659i
$976$	6.17737	−	2.13801i	0.197733	−	0.0684360i
$977$	16.1405	−	8.32099i	0.516379	−	0.266212i	−0.180279	−	0.983616i	$-0.557700\pi$
$977$	16.1405	−	8.32099i	0.516379	−	0.266212i	0.696658	+	0.717404i	$0.254670\pi$
$978$	−0.147104	+	2.93625i	−0.00470387	+	0.0938910i
$979$	6.53226	−	7.53864i	0.208772	−	0.240936i
$980$	10.0175	+	15.8511i	0.319997	+	0.506346i
$981$	−6.29866	+	0.874035i	−0.201101	+	0.0279058i
$982$	−3.96641	+	11.4602i	−0.126573	+	0.365709i
$983$	−9.34590	−	0.892426i	−0.298088	−	0.0284640i	−0.0550594	−	0.998483i	$-0.517535\pi$
$983$	−9.34590	−	0.892426i	−0.298088	−	0.0284640i	−0.243029	+	0.970019i	$0.578141\pi$
$984$	−40.1911	−	9.85489i	−1.28124	−	0.314162i
$985$	8.94223	+	93.6472i	0.284923	+	2.98385i
$986$	3.49822	−	24.3307i	0.111406	−	0.774847i
$987$	5.81865	+	27.5776i	0.185210	+	0.877806i
$988$			0.484742i			0.0154217i
$989$	50.5163	+	13.8160i	1.60632	+	0.439323i
$990$	−38.1924	−	22.3014i	−1.21383	−	0.708785i
$991$	0.601460	+	12.6262i	0.0191060	+	0.401084i	0.988082	+	0.153929i	$0.0491927\pi$
$991$	0.601460	+	12.6262i	0.0191060	+	0.401084i	−0.968976	+	0.247155i	$0.920504\pi$
$992$	5.43293	+	13.5708i	0.172496	+	0.430874i
$993$	−24.5123	−	11.2673i	−0.777875	−	0.357557i
$994$	25.9163	−	12.4679i	0.822015	−	0.395456i
$995$	−5.43602	+	2.48255i	−0.172333	+	0.0787020i
$996$	−6.46693	−	2.25604i	−0.204912	−	0.0714853i
$997$	−0.0665126	−	0.0266276i	−0.00210647	−	0.000843305i	0.370609	−	0.928789i	$-0.379149\pi$
$997$	−0.0665126	−	0.0266276i	−0.00210647	−	0.000843305i	−0.372715	+	0.927946i	$0.621573\pi$
$998$	21.3086	+	22.3478i	0.674512	+	0.707408i
$999$	27.1278	+	5.43618i	0.858286	+	0.171993i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	483.2.bc.a.11.20	✓	1200
3.2	odd	2	inner	483.2.bc.a.11.41	yes	1200
7.2	even	3	inner	483.2.bc.a.149.41	yes	1200
21.2	odd	6	inner	483.2.bc.a.149.20	yes	1200
23.21	odd	22	inner	483.2.bc.a.389.20	yes	1200
69.44	even	22	inner	483.2.bc.a.389.41	yes	1200
161.44	odd	66	inner	483.2.bc.a.44.41	yes	1200
483.44	even	66	inner	483.2.bc.a.44.20	yes	1200

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
483.2.bc.a.11.20	✓	1200	1.1	even	1	trivial
483.2.bc.a.11.41	yes	1200	3.2	odd	2	inner
483.2.bc.a.44.20	yes	1200	483.44	even	66	inner
483.2.bc.a.44.41	yes	1200	161.44	odd	66	inner
483.2.bc.a.149.20	yes	1200	21.2	odd	6	inner
483.2.bc.a.149.41	yes	1200	7.2	even	3	inner
483.2.bc.a.389.20	yes	1200	23.21	odd	22	inner
483.2.bc.a.389.41	yes	1200	69.44	even	22	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 483 = 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	483.bc (of order \(66\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.522802 + 1.01409i) q^{2} +(-1.07403 + 1.35885i) q^{3} +(0.405048 + 0.568811i) q^{4} +(2.77635 + 2.64725i) q^{5} +(-0.816498 - 1.79957i) q^{6} +(-2.48243 + 0.915168i) q^{7} +(-3.04721 + 0.438123i) q^{8} +(-0.692939 - 2.91888i) q^{9} +(-4.13604 + 1.43150i) q^{10} +(-2.99387 + 1.54345i) q^{11} +(-1.20796 - 0.0605178i) q^{12} +(1.40922 - 1.62632i) q^{13} +(0.369753 - 2.99587i) q^{14} +(-6.57908 + 0.929432i) q^{15} +(0.692013 - 1.99944i) q^{16} +(4.62654 + 0.441781i) q^{17} +(3.32229 + 0.823288i) q^{18} +(0.0306637 + 0.321125i) q^{19} +(-0.381226 + 2.65148i) q^{20} +(1.42262 - 4.35616i) q^{21} -3.84299i q^{22} +(4.75891 + 0.593957i) q^{23} +(2.67744 - 4.61125i) q^{24} +(0.462308 + 9.70504i) q^{25} +(0.912504 + 2.27933i) q^{26} +(4.71054 + 2.19335i) q^{27} +(-1.52606 - 1.04135i) q^{28} +(-4.21675 + 1.92573i) q^{29} +(2.49702 - 7.15772i) q^{30} +(-3.62554 - 1.45145i) q^{31} +(-2.58305 - 2.70902i) q^{32} +(1.11818 - 5.72592i) q^{33} +(-2.86677 + 4.46079i) q^{34} +(-9.31478 - 4.03078i) q^{35} +(1.37961 - 1.57644i) q^{36} +(5.17445 - 1.25531i) q^{37} +(-0.341682 - 0.136789i) q^{38} +(0.696393 + 3.66163i) q^{39} +(-9.61995 - 6.85034i) q^{40} +(-2.18644 - 7.44635i) q^{41} +(3.67381 + 3.72008i) q^{42} +(10.8091 + 1.55411i) q^{43} +(-2.09059 - 1.07778i) q^{44} +(5.80314 - 9.93821i) q^{45} +(-3.09030 + 4.51546i) q^{46} +(-5.32643 + 3.07521i) q^{47} +(1.97370 + 3.08779i) q^{48} +(5.32493 - 4.54369i) q^{49} +(-10.0835 - 4.60499i) q^{50} +(-5.56934 + 5.81229i) q^{51} +(1.49587 + 0.142838i) q^{52} +(-5.15352 + 0.993259i) q^{53} +(-4.68694 + 3.63025i) q^{54} +(-12.3979 - 3.64036i) q^{55} +(7.16354 - 3.87632i) q^{56} +(-0.469294 - 0.303229i) q^{57} +(0.251658 - 5.28296i) q^{58} +(-12.6284 + 4.37072i) q^{59} +(-3.19352 - 3.36579i) q^{60} +(1.90983 + 2.42855i) q^{61} +(3.36734 - 2.91782i) q^{62} +(4.39144 + 6.61175i) q^{63} +(8.15783 - 2.39535i) q^{64} +(8.21776 - 0.784701i) q^{65} +(5.22204 + 4.12747i) q^{66} +(-3.31724 + 0.158020i) q^{67} +(1.62268 + 2.81057i) q^{68} +(-5.91829 + 5.82871i) q^{69} +(8.95737 - 7.33877i) q^{70} +(5.15089 + 8.01494i) q^{71} +(3.39036 + 8.59084i) q^{72} +(2.57589 + 3.61734i) q^{73} +(-1.43221 + 5.90366i) q^{74} +(-13.6842 - 9.79525i) q^{75} +(-0.170239 + 0.147513i) q^{76} +(6.01957 - 6.57141i) q^{77} +(-4.07731 - 1.20810i) q^{78} +(-0.282634 + 1.46644i) q^{79} +(7.21428 - 3.71922i) q^{80} +(-8.03967 + 4.04521i) q^{81} +(8.69437 + 1.67570i) q^{82} +(5.43352 + 1.59543i) q^{83} +(3.05406 - 0.955256i) q^{84} +(11.6754 + 13.4741i) q^{85} +(-7.22701 + 10.1489i) q^{86} +(1.91213 - 7.79821i) q^{87} +(8.44675 - 6.01490i) q^{88} +(-2.74930 + 1.10066i) q^{89} +(7.04439 + 11.0806i) q^{90} +(-2.00993 + 5.32691i) q^{91} +(1.58974 + 2.94750i) q^{92} +(5.86622 - 3.36767i) q^{93} +(-0.333891 - 7.00923i) q^{94} +(-0.764963 + 0.972730i) q^{95} +(6.45540 - 0.600411i) q^{96} +(2.34071 + 7.97173i) q^{97} +(1.82384 + 7.77543i) q^{98} +(6.57971 + 7.66923i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1200 q - 9 q^{3} - 74 q^{4} - 20 q^{6} - 44 q^{7} - 13 q^{9} - 22 q^{10} - 25 q^{12} - 72 q^{13} - 44 q^{15} + 38 q^{16} - 45 q^{18} - 22 q^{19} + 44 q^{21} + 2 q^{24} + 18 q^{25} - 90 q^{27} - 44 q^{28}+ \cdots - 308 q^{99}+O(q^{100}) \) 1200 * q - 9 * q^3 - 74 * q^4 - 20 * q^6 - 44 * q^7 - 13 * q^9 - 22 * q^10 - 25 * q^12 - 72 * q^13 - 44 * q^15 + 38 * q^16 - 45 * q^18 - 22 * q^19 + 44 * q^21 + 2 * q^24 + 18 * q^25 - 90 * q^27 - 44 * q^28 - 55 * q^30 - 18 * q^31 - 11 * q^33 - 88 * q^34 - 108 * q^36 - 66 * q^37 + q^39 - 22 * q^40 - 22 * q^42 - 2 * q^46 - 228 * q^48 - 128 * q^49 - 11 * q^51 - 166 * q^52 + 35 * q^54 - 160 * q^55 - 44 * q^57 - 126 * q^58 - 11 * q^60 + 66 * q^61 + 33 * q^63 + 40 * q^64 + 22 * q^66 - 22 * q^67 - 24 * q^69 + 68 * q^70 - 149 * q^72 - 42 * q^73 + 123 * q^75 - 88 * q^76 - 108 * q^78 - 66 * q^79 - 81 * q^81 - 14 * q^82 + 44 * q^84 - 200 * q^85 + 75 * q^87 + 66 * q^88 + 16 * q^93 - 146 * q^94 + 5 * q^96 - 88 * q^97 - 308 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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