LMFDB - Embedded newform 722.2.g.a.39.15

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [722,2,Mod(39,722)] 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("722.39"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(722, base_ring=CyclotomicField(38)) chi = DirichletCharacter(H, H._module([14])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 722 = 2 \cdot 19^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	722.g (of order $19$, degree $18$, minimal)

Newform invariants

comment:select newform

sage:traces = [288] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(1)] == traces)

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

Self dual:	no
Analytic conductor:	$5.76519902594$
Analytic rank:	$0$
Dimension:	$288$
Relative dimension:	$16$ over $\Q(\zeta_{19})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{19}]$

Embedding invariants

Embedding label			39.15
Character	$\chi$	$=$	722.39
Dual form			722.2.g.a.685.15

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.401695 + 0.915773i) q^{2} +(2.24445 + 1.74693i) q^{3} +(-0.677282 + 0.735724i) q^{4} +(-0.330232 - 3.98530i) q^{5} +(-0.698204 + 2.75714i) q^{6} +(2.23039 + 2.42284i) q^{7} +(-0.945817 - 0.324699i) q^{8} +(1.24936 + 4.93360i) q^{9} +(3.51698 - 1.90329i) q^{10} +(0.266003 - 1.05042i) q^{11} +(-2.80538 + 0.468136i) q^{12} +(0.961687 + 0.748511i) q^{13} +(-1.32284 + 3.01577i) q^{14} +(6.22085 - 9.52172i) q^{15} +(-0.0825793 - 0.996584i) q^{16} +(2.57580 + 2.79807i) q^{17} +(-4.01620 + 3.12593i) q^{18} +(2.49326 - 3.57542i) q^{19} +(3.15574 + 2.45621i) q^{20} +(0.773461 + 9.33429i) q^{21} +(1.06880 - 0.178352i) q^{22} +(-2.73917 + 2.13198i) q^{23} +(-1.55562 - 2.38105i) q^{24} +(-10.8418 + 1.80917i) q^{25} +(-0.299161 + 1.18136i) q^{26} +(-2.38705 + 5.44192i) q^{27} -3.29314 q^{28} +(0.0715336 + 0.0777062i) q^{29} +(11.2186 + 1.87206i) q^{30} +(-3.16786 + 7.22199i) q^{31} +(0.879474 - 0.475947i) q^{32} +(2.43205 - 1.89294i) q^{33} +(-1.52771 + 3.48282i) q^{34} +(8.91922 - 9.68886i) q^{35} +(-4.47593 - 2.42225i) q^{36} +(-0.651941 + 2.57446i) q^{37} +(4.27581 + 0.847033i) q^{38} +(0.850867 + 3.36000i) q^{39} +(-0.981687 + 3.87659i) q^{40} +(5.85950 - 8.96864i) q^{41} +(-8.23739 + 4.45785i) q^{42} +(-8.63424 - 4.67262i) q^{43} +(0.592663 + 0.907138i) q^{44} +(19.2493 - 6.60830i) q^{45} +(-3.05272 - 1.65205i) q^{46} +(1.08271 - 4.27551i) q^{47} +(1.55562 - 2.38105i) q^{48} +(-0.317500 + 3.83166i) q^{49} +(-6.01188 - 9.20187i) q^{50} +(0.893246 + 10.7799i) q^{51} +(-1.20203 + 0.200583i) q^{52} +(-1.48274 + 5.85519i) q^{53} -5.94243 q^{54} +(-4.27410 - 0.713221i) q^{55} +(-1.32284 - 3.01577i) q^{56} +(11.8420 - 3.66932i) q^{57} +(-0.0424265 + 0.0967228i) q^{58} +(1.85935 - 2.84595i) q^{59} +(2.79209 + 11.0257i) q^{60} +(3.98566 - 1.36828i) q^{61} -7.88622 q^{62} +(-9.16680 + 14.0308i) q^{63} +(0.789141 + 0.614213i) q^{64} +(2.66546 - 4.07980i) q^{65} +(2.71044 + 1.46682i) q^{66} +(-8.62674 - 2.96156i) q^{67} -3.80315 q^{68} -9.87236 q^{69} +(12.4556 + 4.27602i) q^{70} +(-13.6716 - 4.69346i) q^{71} +(0.420274 - 5.07195i) q^{72} +(4.88584 + 5.30743i) q^{73} +(-2.61950 + 0.437118i) q^{74} +(-27.4944 - 14.8792i) q^{75} +(0.941882 + 4.25592i) q^{76} +(3.13830 - 1.69836i) q^{77} +(-2.73521 + 2.12890i) q^{78} +(-12.0256 - 6.50793i) q^{79} +(-3.94442 + 0.658207i) q^{80} +(-1.43645 + 0.777367i) q^{81} +(10.5670 + 1.76332i) q^{82} +(0.903344 - 10.9017i) q^{83} +(-7.39131 - 5.75289i) q^{84} +(10.3005 - 11.1894i) q^{85} +(0.810723 - 9.78397i) q^{86} +(0.0248067 + 0.299372i) q^{87} +(-0.592663 + 0.907138i) q^{88} +(-3.27979 + 3.56281i) q^{89} +(13.7841 + 14.9735i) q^{90} +(0.331407 + 3.99949i) q^{91} +(0.286640 - 3.45923i) q^{92} +(-19.7264 + 10.6754i) q^{93} +(4.35032 - 0.725940i) q^{94} +(-15.0725 - 8.75569i) q^{95} +(2.80538 + 0.468136i) q^{96} +(-6.92494 + 2.37733i) q^{97} +(-3.63647 + 1.24840i) q^{98} +5.51470 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 288 q + 16 q^{2} - q^{3} - 16 q^{4} + q^{5} + q^{6} + 2 q^{7} + 16 q^{8} - 13 q^{9} - q^{10} - 31 q^{11} - q^{12} - 5 q^{13} + 17 q^{14} - 38 q^{15} - 16 q^{16} + 36 q^{17} + 13 q^{18} - q^{19} + q^{20}+ \cdots - 102 q^{99}+O(q^{100}) $ 288 * q + 16 * q^2 - q^3 - 16 * q^4 + q^5 + q^6 + 2 * q^7 + 16 * q^8 - 13 * q^9 - q^10 - 31 * q^11 - q^12 - 5 * q^13 + 17 * q^14 - 38 * q^15 - 16 * q^16 + 36 * q^17 + 13 * q^18 - q^19 + q^20 - 78 * q^21 + 12 * q^22 - 21 * q^23 + q^24 - 9 * q^25 + 5 * q^26 - 55 * q^27 - 36 * q^28 + 27 * q^29 + 57 * q^30 + 4 * q^31 + 16 * q^32 + 42 * q^33 + 2 * q^34 + 2 * q^35 - 13 * q^36 - 5 * q^37 - 18 * q^38 - 40 * q^39 - q^40 - 2 * q^41 + 2 * q^42 + 111 * q^43 + 7 * q^44 + 100 * q^45 + 21 * q^46 - 15 * q^47 - q^48 + 34 * q^49 + 47 * q^50 - 6 * q^51 - 5 * q^52 - 75 * q^53 - 78 * q^54 + 6 * q^55 + 17 * q^56 - q^57 + 11 * q^58 - 13 * q^59 - 63 * q^61 - 4 * q^62 + 101 * q^63 - 16 * q^64 + 72 * q^65 - 4 * q^66 - 7 * q^67 - 40 * q^68 + 220 * q^69 + 17 * q^70 - 129 * q^71 + 13 * q^72 + 14 * q^73 + 100 * q^74 - 189 * q^75 + 18 * q^76 - 23 * q^77 + 2 * q^78 + 8 * q^79 + q^80 - 164 * q^81 + 40 * q^82 - 141 * q^83 - 2 * q^84 + 6 * q^85 + 22 * q^86 + 93 * q^87 - 7 * q^88 + 25 * q^89 - 81 * q^90 + 19 * q^91 - 2 * q^92 - 199 * q^93 + 15 * q^94 - 57 * q^95 + q^96 - 11 * q^97 - 72 * q^98 - 102 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/722\mathbb{Z}\right)^\times$.

$n$	$363$
$\chi(n)$	$e\left(\frac{7}{19}\right)$

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 $

$2$	0.401695	+	0.915773i	0.284042	+	0.647550i
$2$	0.401695	+	0.915773i	0.284042	+	0.647550i
$3$	2.24445	+	1.74693i	1.29584	+	1.00859i	0.998552	+	0.0538007i	$0.0171336\pi$
$3$	2.24445	+	1.74693i	1.29584	+	1.00859i	0.297284	+	0.954789i	$0.403919\pi$
$4$	−0.677282	+	0.735724i	−0.338641	+	0.367862i
$5$	−0.330232	−	3.98530i	−0.147684	−	1.78228i	−0.519991	−	0.854172i	$-0.674065\pi$
$5$	−0.330232	−	3.98530i	−0.147684	−	1.78228i	0.372307	−	0.928110i	$-0.378567\pi$
$6$	−0.698204	+	2.75714i	−0.285040	+	1.12560i
$7$	2.23039	+	2.42284i	0.843006	+	0.915749i	0.997386	−	0.0722627i	$-0.0230220\pi$
$7$	2.23039	+	2.42284i	0.843006	+	0.915749i	−0.154379	+	0.988012i	$0.549338\pi$
$8$	−0.945817	−	0.324699i	−0.334397	−	0.114799i
$9$	1.24936	+	4.93360i	0.416452	+	1.64453i
$10$	3.51698	−	1.90329i	1.11217	−	0.601875i
$11$	0.266003	−	1.05042i	0.0802030	−	0.316715i	−0.916277	−	0.400545i	$-0.868821\pi$
$11$	0.266003	−	1.05042i	0.0802030	−	0.316715i	0.996480	+	0.0838306i	$0.0267155\pi$
$12$	−2.80538	+	0.468136i	−0.809845	+	0.135139i
$13$	0.961687	+	0.748511i	0.266724	+	0.207600i	0.738740	−	0.673990i	$-0.235421\pi$
$13$	0.961687	+	0.748511i	0.266724	+	0.207600i	−0.472016	+	0.881590i	$0.656474\pi$
$14$	−1.32284	+	3.01577i	−0.353544	+	0.805999i
$15$	6.22085	−	9.52172i	1.60622	−	2.45850i
$16$	−0.0825793	−	0.996584i	−0.0206448	−	0.249146i
$17$	2.57580	+	2.79807i	0.624724	+	0.678631i	0.965167	−	0.261634i	$-0.0842614\pi$
$17$	2.57580	+	2.79807i	0.624724	+	0.678631i	−0.340443	+	0.940265i	$0.610577\pi$
$18$	−4.01620	+	3.12593i	−0.946627	+	0.736789i
$19$	2.49326	−	3.57542i	0.571994	−	0.820258i
$19$	2.49326	−	3.57542i	0.571994	−	0.820258i
$20$	3.15574	+	2.45621i	0.705645	+	0.549226i
$21$	0.773461	+	9.33429i	0.168783	+	2.03691i
$22$	1.06880	−	0.178352i	0.227869	−	0.0380247i
$23$	−2.73917	+	2.13198i	−0.571157	+	0.444549i	−0.858161	−	0.513380i	$-0.828393\pi$
$23$	−2.73917	+	2.13198i	−0.571157	+	0.444549i	0.287005	+	0.957929i	$0.407340\pi$
$24$	−1.55562	−	2.38105i	−0.317539	−	0.486029i
$25$	−10.8418	+	1.80917i	−2.16835	+	0.361834i
$26$	−0.299161	+	1.18136i	−0.0586703	+	0.231684i
$27$	−2.38705	+	5.44192i	−0.459387	+	1.04730i
$28$	−3.29314			−0.622346
$29$	0.0715336	+	0.0777062i	0.0132835	+	0.0144297i	0.742330	−	0.670034i	$-0.233721\pi$
$29$	0.0715336	+	0.0777062i	0.0132835	+	0.0144297i	−0.729047	+	0.684464i	$0.760036\pi$
$30$	11.2186	+	1.87206i	2.04823	+	0.341789i
$31$	−3.16786	+	7.22199i	−0.568964	+	1.29711i	0.362061	+	0.932154i	$0.382073\pi$
$31$	−3.16786	+	7.22199i	−0.568964	+	1.29711i	−0.931026	+	0.364954i	$0.881085\pi$
$32$	0.879474	−	0.475947i	0.155470	−	0.0841364i
$33$	2.43205	−	1.89294i	0.423365	−	0.329518i
$34$	−1.52771	+	3.48282i	−0.262000	+	0.597299i
$35$	8.91922	−	9.68886i	1.50762	−	1.63772i
$36$	−4.47593	−	2.42225i	−0.745989	−	0.403709i
$37$	−0.651941	+	2.57446i	−0.107179	+	0.423238i	−0.999609	−	0.0279457i	$-0.991103\pi$
$37$	−0.651941	+	2.57446i	−0.107179	+	0.423238i	0.892431	+	0.451184i	$0.148998\pi$
$38$	4.27581	+	0.847033i	0.693628	+	0.137407i
$39$	0.850867	+	3.36000i	0.136248	+	0.538030i
$40$	−0.981687	+	3.87659i	−0.155218	+	0.612943i
$41$	5.85950	−	8.96864i	0.915101	−	1.40067i	−0.00112323	−	0.999999i	$-0.500358\pi$
$41$	5.85950	−	8.96864i	0.915101	−	1.40067i	0.916224	−	0.400667i	$-0.131221\pi$
$42$	−8.23739	+	4.45785i	−1.27106	+	0.687862i
$43$	−8.63424	−	4.67262i	−1.31671	−	0.712567i	−0.342779	−	0.939416i	$-0.611368\pi$
$43$	−8.63424	−	4.67262i	−1.31671	−	0.712567i	−0.973930	+	0.226849i	$0.927158\pi$
$44$	0.592663	+	0.907138i	0.0893472	+	0.136756i
$45$	19.2493	−	6.60830i	2.86952	−	0.985107i
$46$	−3.05272	−	1.65205i	−0.450100	−	0.243582i
$47$	1.08271	−	4.27551i	0.157929	−	0.623647i	−0.838915	−	0.544262i	$-0.816810\pi$
$47$	1.08271	−	4.27551i	0.157929	−	0.623647i	0.996844	−	0.0793850i	$-0.0252957\pi$
$48$	1.55562	−	2.38105i	0.224534	−	0.343675i
$49$	−0.317500	+	3.83166i	−0.0453572	+	0.547380i
$50$	−6.01188	−	9.20187i	−0.850209	−	1.30134i
$51$	0.893246	+	10.7799i	0.125079	+	1.50948i
$52$	−1.20203	+	0.200583i	−0.166692	+	0.0278159i
$53$	−1.48274	+	5.85519i	−0.203669	+	0.804272i	0.780222	+	0.625503i	$0.215106\pi$
$53$	−1.48274	+	5.85519i	−0.203669	+	0.804272i	−0.983891	+	0.178769i	$0.942789\pi$
$54$	−5.94243			−0.808662
$55$	−4.27410	−	0.713221i	−0.576319	−	0.0961707i
$56$	−1.32284	−	3.01577i	−0.176772	−	0.403000i
$57$	11.8420	−	3.66932i	1.56851	−	0.486013i
$58$	−0.0424265	+	0.0967228i	−0.00557088	+	0.0127003i
$59$	1.85935	−	2.84595i	0.242067	−	0.370511i	−0.695378	−	0.718644i	$-0.744763\pi$
$59$	1.85935	−	2.84595i	0.242067	−	0.370511i	0.937445	+	0.348133i	$0.113184\pi$
$60$	2.79209	+	11.0257i	0.360457	+	1.42341i
$61$	3.98566	−	1.36828i	0.510312	−	0.175190i	−0.0575052	−	0.998345i	$-0.518315\pi$
$61$	3.98566	−	1.36828i	0.510312	−	0.175190i	0.567817	+	0.823155i	$0.307788\pi$
$62$	−7.88622			−1.00155
$63$	−9.16680	+	14.0308i	−1.15491	+	1.76772i
$64$	0.789141	+	0.614213i	0.0986426	+	0.0767766i
$65$	2.66546	−	4.07980i	0.330610	−	0.506036i
$66$	2.71044	+	1.46682i	0.333633	+	0.180553i
$67$	−8.62674	−	2.96156i	−1.05392	−	0.361812i	−0.257328	−	0.966324i	$-0.582842\pi$
$67$	−8.62674	−	2.96156i	−1.05392	−	0.361812i	−0.796596	+	0.604512i	$0.793368\pi$
$68$	−3.80315			−0.461199
$69$	−9.87236			−1.18849
$70$	12.4556	+	4.27602i	1.48873	+	0.511082i
$71$	−13.6716	−	4.69346i	−1.62252	−	0.557011i	−0.644332	−	0.764746i	$-0.722865\pi$
$71$	−13.6716	−	4.69346i	−1.62252	−	0.557011i	−0.978185	+	0.207735i	$0.933391\pi$
$72$	0.420274	−	5.07195i	0.0495297	−	0.597735i
$73$	4.88584	+	5.30743i	0.571844	+	0.621188i	0.952871	−	0.303376i	$-0.0981137\pi$
$73$	4.88584	+	5.30743i	0.571844	+	0.621188i	−0.381027	+	0.924564i	$0.624429\pi$
$74$	−2.61950	+	0.437118i	−0.304511	+	0.0508139i
$75$	−27.4944	−	14.8792i	−3.17477	−	1.71810i
$76$	0.941882	+	4.25592i	0.108041	+	0.488188i
$77$	3.13830	−	1.69836i	0.357643	−	0.193547i
$78$	−2.73521	+	2.12890i	−0.309701	+	0.241050i
$79$	−12.0256	−	6.50793i	−1.35299	−	0.732200i	−0.372360	−	0.928088i	$-0.621451\pi$
$79$	−12.0256	−	6.50793i	−1.35299	−	0.732200i	−0.980626	+	0.195889i	$0.937241\pi$
$80$	−3.94442	+	0.658207i	−0.441000	+	0.0735898i
$81$	−1.43645	+	0.777367i	−0.159605	+	0.0863742i
$82$	10.5670	+	1.76332i	1.16693	+	0.194726i
$83$	0.903344	−	10.9017i	0.0991549	−	1.19662i	−0.747420	−	0.664352i	$-0.768708\pi$
$83$	0.903344	−	10.9017i	0.0991549	−	1.19662i	0.846575	−	0.532270i	$-0.178661\pi$
$84$	−7.39131	−	5.75289i	−0.806458	−	0.627691i
$85$	10.3005	−	11.1894i	1.11725	−	1.21366i
$86$	0.810723	−	9.78397i	0.0874225	−	1.05503i
$87$	0.0248067	+	0.299372i	0.00265955	+	0.0320960i
$88$	−0.592663	+	0.907138i	−0.0631780	+	0.0967012i
$89$	−3.27979	+	3.56281i	−0.347658	+	0.377657i	−0.884908	−	0.465766i	$-0.845779\pi$
$89$	−3.27979	+	3.56281i	−0.347658	+	0.377657i	0.537250	+	0.843423i	$0.319463\pi$
$90$	13.7841	+	14.9735i	1.45297	+	1.57834i
$91$	0.331407	+	3.99949i	0.0347409	+	0.419260i
$92$	0.286640	−	3.45923i	0.0298842	−	0.360649i
$93$	−19.7264	+	10.6754i	−2.04553	+	1.10699i
$94$	4.35032	−	0.725940i	0.448701	−	0.0748749i
$95$	−15.0725	−	8.75569i	−1.54640	−	0.898315i
$96$	2.80538	+	0.468136i	0.286323	+	0.0477789i
$97$	−6.92494	+	2.37733i	−0.703121	+	0.241382i	−0.652996	−	0.757361i	$-0.726488\pi$
$97$	−6.92494	+	2.37733i	−0.703121	+	0.241382i	−0.0501248	+	0.998743i	$0.515962\pi$
$98$	−3.63647	+	1.24840i	−0.367339	+	0.126108i
$99$	5.51470			0.554249
$100$	6.01188	−	9.20187i	0.601188	−	0.920187i
$101$	−3.64339	−	14.3874i	−0.362531	−	1.43160i	−0.834997	−	0.550254i	$-0.814531\pi$
$101$	−3.64339	−	14.3874i	−0.362531	−	1.43160i	0.472466	−	0.881349i	$-0.343364\pi$
$102$	−9.51311	+	5.14824i	−0.941938	+	0.509751i
$103$	6.83285	−	7.42245i	0.673260	−	0.731356i	−0.301781	−	0.953377i	$-0.597581\pi$
$103$	6.83285	−	7.42245i	0.673260	−	0.731356i	0.975042	+	0.222021i	$0.0712655\pi$
$104$	−0.666539	−	1.02021i	−0.0653595	−	0.100040i
$105$	36.9445	−	6.16495i	3.60542	−	0.601638i
$106$	−5.95763	+	0.994153i	−0.578657	+	0.0965607i
$107$	7.30696	+	16.6582i	0.706390	+	1.61041i	0.789415	+	0.613860i	$0.210384\pi$
$107$	7.30696	+	16.6582i	0.706390	+	1.61041i	−0.0830246	+	0.996547i	$0.526458\pi$
$108$	−2.38705	−	5.44192i	−0.229694	−	0.523649i
$109$	3.48757	+	13.7721i	0.334048	+	1.31913i	0.877456	+	0.479658i	$0.159239\pi$
$109$	3.48757	+	13.7721i	0.334048	+	1.31913i	−0.543407	+	0.839469i	$0.682866\pi$
$110$	−1.06374	−	4.20060i	−0.101423	−	0.400512i
$111$	−5.96065	+	4.63936i	−0.565760	+	0.440348i
$112$	2.23039	−	2.42284i	0.210752	−	0.228937i
$113$	3.40556	−	3.69943i	0.320368	−	0.348013i	−0.554667	−	0.832073i	$-0.687154\pi$
$113$	3.40556	−	3.69943i	0.320368	−	0.348013i	0.875035	+	0.484060i	$0.160838\pi$
$114$	8.11715	+	9.37066i	0.760240	+	0.877643i
$115$	9.40115	+	10.2124i	0.876662	+	0.952309i
$116$	−0.105619			−0.00980645
$117$	−2.49136	+	5.67974i	−0.230327	+	0.525092i
$118$	3.35313	+	0.559539i	0.308681	+	0.0515097i
$119$	−1.03425	+	12.4815i	−0.0948095	+	1.14418i
$120$	−8.97548	+	6.98590i	−0.819346	+	0.637722i
$121$	8.64158	+	4.67659i	0.785598	+	0.425144i
$122$	2.85405	+	3.10033i	0.258394	+	0.280691i
$123$	28.8190	−	9.89356i	2.59852	−	0.892072i
$124$	−3.16786	−	7.22199i	−0.284482	−	0.648554i
$125$	5.88196	+	23.2273i	0.526099	+	2.07752i
$126$	−16.5313	−	2.75859i	−1.47273	−	0.245755i
$127$	−22.0306			−1.95490			−0.977450	−	0.211166i	$-0.932274\pi$
$127$	−22.0306			−1.95490			−0.977450	+	0.211166i	$0.932274\pi$
$128$	−0.245485	+	0.969400i	−0.0216981	+	0.0856837i
$129$	−11.2164	−	25.5709i	−0.987551	−	2.25139i
$130$	4.80687	+	0.802125i	0.421591	+	0.0703510i
$131$	7.76185	−	17.6952i	0.678156	−	1.54604i	−0.151923	−	0.988392i	$-0.548547\pi$
$131$	7.76185	−	17.6952i	0.678156	−	1.54604i	0.830078	−	0.557647i	$-0.188296\pi$
$132$	−0.254501	+	3.07137i	−0.0221514	+	0.267328i
$133$	14.2236	−	1.93378i	1.23334	−	0.167680i
$134$	−0.753201	−	9.08978i	−0.0650666	−	0.785238i
$135$	22.4760	+	7.71601i	1.93442	+	0.664088i
$136$	−1.52771	−	3.48282i	−0.131000	−	0.298649i
$137$	3.71117	+	1.27405i	0.317067	+	0.108849i	0.478639	−	0.878012i	$-0.341130\pi$
$137$	3.71117	+	1.27405i	0.317067	+	0.108849i	−0.161572	+	0.986861i	$0.551657\pi$
$138$	−3.96568	−	9.04085i	−0.337581	−	0.769608i
$139$	−2.99452	−	1.62056i	−0.253992	−	0.137454i	0.343963	−	0.938983i	$-0.388231\pi$
$139$	−2.99452	−	1.62056i	−0.253992	−	0.137454i	−0.597955	+	0.801529i	$0.704020\pi$
$140$	1.08750	+	13.1242i	0.0919105	+	1.10919i
$141$	9.89910	−	7.70478i	0.833654	−	0.648859i
$142$	−1.19367	−	14.4054i	−0.100170	−	1.20887i
$143$	1.04207	−	0.811072i	0.0871419	−	0.0678253i
$144$	4.81358	−	1.65250i	0.401132	−	0.137709i
$145$	0.286060	−	0.310744i	0.0237560	−	0.0258059i
$146$	−2.89779	+	6.60629i	−0.239823	+	0.546741i
$147$	−7.40625	+	8.04533i	−0.610857	+	0.663568i
$148$	−1.45254	−	2.22328i	−0.119398	−	0.182753i
$149$	5.26482	+	8.05841i	0.431311	+	0.660171i	0.985000	−	0.172553i	$-0.0552015\pi$
$149$	5.26482	+	8.05841i	0.431311	+	0.660171i	−0.553689	+	0.832723i	$0.686780\pi$
$150$	2.58162	−	31.1555i	0.210788	−	2.54384i
$151$	−1.00203	−	1.53372i	−0.0815441	−	0.124812i	0.794065	−	0.607833i	$-0.207961\pi$
$151$	−1.00203	−	1.53372i	−0.0815441	−	0.124812i	−0.875609	+	0.483020i	$0.839540\pi$
$152$	−3.51911	+	2.57213i	−0.285437	+	0.208628i
$153$	−10.5864	+	16.2038i	−0.855863	+	1.31000i
$154$	2.81596	+	2.19175i	0.226916	+	0.176616i
$155$	29.8279	+	10.2399i	2.39584	+	0.822492i
$156$	−3.04831	−	1.64966i	−0.244060	−	0.132079i
$157$	−6.04061	−	4.70160i	−0.482093	−	0.375228i	0.343811	−	0.939039i	$-0.388282\pi$
$157$	−6.04061	−	4.70160i	−0.482093	−	0.375228i	−0.825904	+	0.563811i	$0.809335\pi$
$158$	1.12916	−	13.6269i	0.0898312	−	1.08410i
$159$	−13.5565	+	10.5515i	−1.07510	+	0.836786i
$160$	−2.18722	−	3.34780i	−0.172915	−	0.264667i
$161$	−11.2749	−	1.88144i	−0.888584	−	0.148278i
$162$	−1.28891	−	1.00320i	−0.101266	−	0.0788186i
$163$	3.62337	+	8.26045i	0.283804	+	0.647008i	0.998632	−	0.0522923i	$-0.0166528\pi$
$163$	3.62337	+	8.26045i	0.283804	+	0.647008i	−0.714828	+	0.699301i	$0.753495\pi$
$164$	2.62991	+	10.3853i	0.205361	+	0.810953i
$165$	−8.34707	−	9.06734i	−0.649819	−	0.705891i
$166$	10.3464	−	3.55192i	0.803036	−	0.275683i
$167$	10.5144	+	11.4217i	0.813627	+	0.883834i	0.995030	−	0.0995747i	$-0.0317482\pi$
$167$	10.5144	+	11.4217i	0.813627	+	0.883834i	−0.181404	+	0.983409i	$0.558064\pi$
$168$	2.29928	−	9.07967i	0.177394	−	0.700512i
$169$	−2.82674	−	11.1625i	−0.217441	−	0.858657i
$170$	14.3846	+	4.93824i	1.10325	+	0.378745i
$171$	20.7547	+	7.83378i	1.58715	+	0.599064i
$172$	9.28556	−	3.18774i	0.708018	−	0.243063i
$173$	1.85361	+	2.83716i	0.140927	+	0.215705i	0.900654	−	0.434538i	$-0.143088\pi$
$173$	1.85361	+	2.83716i	0.140927	+	0.215705i	−0.759726	+	0.650243i	$0.774667\pi$
$174$	−0.264192	+	0.142974i	−0.0200284	+	0.0108388i
$175$	−28.5647	−	22.2328i	−2.15929	−	1.68064i
$176$	−1.06880	−	0.178352i	−0.0805640	−	0.0134438i
$177$	9.14489	−	3.13944i	0.687372	−	0.235975i
$178$	−4.58020	−	1.57239i	−0.343301	−	0.117855i
$179$	15.9315	−	8.62169i	1.19077	−	0.644415i	0.245090	−	0.969500i	$-0.421182\pi$
$179$	15.9315	−	8.62169i	1.19077	−	0.644415i	0.945685	+	0.325085i	$0.105393\pi$
$180$	−8.17532	+	18.6379i	−0.609352	+	1.38918i
$181$	2.53029	−	5.76848i	0.188075	−	0.428767i	−0.796289	−	0.604917i	$-0.793206\pi$
$181$	2.53029	−	5.76848i	0.188075	−	0.428767i	0.984363	+	0.176149i	$0.0563642\pi$
$182$	−3.52950	+	1.91007i	−0.261624	+	0.141584i
$183$	11.3359	+	3.89162i	0.837975	+	0.287677i
$184$	3.28301	−	1.12706i	0.242027	−	0.0830878i
$185$	10.4753	+	1.74802i	0.770158	+	0.128517i
$186$	−17.7003	−	13.7767i	−1.29785	−	1.01015i
$187$	3.62433	−	1.96139i	0.265037	−	0.143431i
$188$	2.41230	+	3.69230i	0.175935	+	0.269288i
$189$	−18.5089	+	6.35413i	−1.34633	+	0.462195i
$190$	1.96368	−	17.3201i	0.142460	−	1.25653i
$191$	−18.6748	−	6.41105i	−1.35126	−	0.463888i	−0.448403	−	0.893832i	$-0.648007\pi$
$191$	−18.6748	−	6.41105i	−1.35126	−	0.463888i	−0.902856	+	0.429944i	$0.858533\pi$
$192$	0.698204	+	2.75714i	0.0503885	+	0.198980i
$193$	−4.60152	+	18.1710i	−0.331224	+	1.30798i	0.549955	+	0.835194i	$0.314645\pi$
$193$	−4.60152	+	18.1710i	−0.331224	+	1.30798i	−0.881180	+	0.472781i	$0.843250\pi$
$194$	−4.95881	−	5.38671i	−0.356022	−	0.386743i
$195$	13.1096	−	4.50054i	0.938800	−	0.322290i
$196$	−2.60401	−	2.82870i	−0.186000	−	0.202050i
$197$	−1.26433	−	4.99273i	−0.0900798	−	0.355717i	0.907905	−	0.419177i	$-0.137681\pi$
$197$	−1.26433	−	4.99273i	−0.0900798	−	0.355717i	−0.997984	+	0.0634598i	$0.979787\pi$
$198$	2.21523	+	5.05022i	0.157430	+	0.358903i
$199$	4.99289	+	3.88613i	0.353937	+	0.275480i	0.775537	−	0.631302i	$-0.217479\pi$
$199$	4.99289	+	3.88613i	0.353937	+	0.275480i	−0.421601	+	0.906782i	$0.638532\pi$
$200$	10.8418	+	1.80917i	0.766629	+	0.127928i
$201$	−14.1887	−	21.7174i	−1.00079	−	1.53183i
$202$	11.7121	−	9.11588i	0.824060	−	0.641391i
$203$	−0.0287225	+	0.346629i	−0.00201593	+	0.0243286i
$204$	−8.53599	−	6.64383i	−0.597639	−	0.465161i
$205$	−37.6777	−	20.3902i	−2.63153	−	1.42411i
$206$	9.54201	+	3.27577i	0.664823	+	0.228234i
$207$	−13.9406	−	10.8504i	−0.968935	−	0.754153i
$208$	0.666539	−	1.02021i	0.0462162	−	0.0707391i
$209$	−3.09249	−	3.57006i	−0.213912	−	0.246946i
$210$	20.4861	+	31.3564i	1.41368	+	2.16380i
$211$	2.06386	−	24.9070i	0.142082	−	1.71467i	−0.437050	−	0.899437i	$-0.643977\pi$
$211$	2.06386	−	24.9070i	0.142082	−	1.71467i	0.579132	−	0.815234i	$-0.303392\pi$
$212$	−3.30357	−	5.05650i	−0.226890	−	0.347282i
$213$	−22.4861	−	34.4175i	−1.54072	−	2.35825i
$214$	−12.3200	+	13.3830i	−0.842174	+	0.914845i
$215$	−15.7705	+	35.9531i	−1.07554	+	2.45198i
$216$	4.02470	−	4.37199i	0.273846	−	0.297476i
$217$	−24.5633	+	8.43259i	−1.66747	+	0.572442i
$218$	−11.2112	+	8.72600i	−0.759316	+	0.591000i
$219$	1.69433	+	20.4475i	0.114492	+	1.38171i
$220$	3.41950	−	2.66150i	0.230543	−	0.179439i
$221$	0.382731	+	4.61888i	0.0257453	+	0.310700i
$222$	−6.64296	−	3.59499i	−0.445847	−	0.241280i
$223$	8.37712	+	19.0979i	0.560973	+	1.27889i	0.936040	+	0.351893i	$0.114462\pi$
$223$	8.37712	+	19.0979i	0.560973	+	1.27889i	−0.375067	+	0.926998i	$0.622380\pi$
$224$	3.11471	+	1.06928i	0.208110	+	0.0714444i
$225$	−22.4710	−	51.2287i	−1.49807	−	3.41525i
$226$	4.75583	+	1.63268i	0.316353	+	0.108604i
$227$	−0.102132	−	1.23255i	−0.00677874	−	0.0818072i	0.992355	−	0.123413i	$-0.0393841\pi$
$227$	−0.102132	−	1.23255i	−0.00677874	−	0.0818072i	−0.999134	+	0.0416062i	$0.986753\pi$
$228$	−5.32078	+	11.1976i	−0.352377	+	0.741580i
$229$	−1.19666	+	14.4416i	−0.0790777	+	0.954326i	0.835388	+	0.549661i	$0.185243\pi$
$229$	−1.19666	+	14.4416i	−0.0790777	+	0.954326i	−0.914465	+	0.404664i	$0.867388\pi$
$230$	−5.57582	+	12.7116i	−0.367659	+	0.838178i
$231$	10.0107	+	1.67049i	0.658655	+	0.109910i
$232$	−0.0424265	−	0.0967228i	−0.00278544	−	0.00635016i
$233$	−6.04337	+	23.8647i	−0.395914	+	1.56343i	0.375331	+	0.926891i	$0.377529\pi$
$233$	−6.04337	+	23.8647i	−0.395914	+	1.56343i	−0.771245	+	0.636539i	$0.780366\pi$
$234$	−6.20212			−0.405445
$235$	−17.3967	−	2.90300i	−1.13484	−	0.189371i
$236$	0.834528	+	3.29547i	0.0543231	+	0.214517i
$237$	−15.6220	−	35.6146i	−1.01476	−	2.31342i
$238$	−11.8457	+	4.06664i	−0.767843	+	0.263601i
$239$	2.82213	+	3.06565i	0.182548	+	0.198300i	0.820287	−	0.571953i	$-0.193814\pi$
$239$	2.82213	+	3.06565i	0.182548	+	0.198300i	−0.637738	+	0.770253i	$0.720130\pi$
$240$	−10.0029	−	5.41330i	−0.645685	−	0.349427i
$241$	−3.91986	+	3.05095i	−0.252500	+	0.196529i	−0.732551	−	0.680712i	$-0.761671\pi$
$241$	−3.91986	+	3.05095i	−0.252500	+	0.196529i	0.480051	+	0.877240i	$0.340618\pi$
$242$	−0.811412	+	9.79229i	−0.0521596	+	0.629472i
$243$	13.0021	+	2.16967i	0.834084	+	0.139184i
$244$	−1.69274	+	3.85906i	−0.108366	+	0.247051i
$245$	15.3752			0.982284
$246$	20.6367	+	22.4174i	1.31575	+	1.42928i
$247$	5.07398	−	1.57220i	0.322850	−	0.100037i
$248$	5.34119	−	5.80208i	0.339166	−	0.368433i
$249$	21.0721	−	22.8904i	1.33539	−	1.45062i
$250$	−18.9082	+	14.7169i	−1.19586	+	0.930776i
$251$	−3.31180	−	13.0780i	−0.209039	−	0.825476i	−0.981665	−	0.190615i	$-0.938952\pi$
$251$	−3.31180	−	13.0780i	−0.209039	−	0.825476i	0.772626	−	0.634861i	$-0.218943\pi$
$252$	−4.11431	−	16.2471i	−0.259177	−	1.02347i
$253$	1.51086	+	3.44440i	0.0949867	+	0.216548i
$254$	−8.84959	−	20.1750i	−0.555273	−	1.26589i
$255$	42.6661	−	7.11971i	2.67185	−	0.445853i
$256$	−0.986361	+	0.164595i	−0.0616476	+	0.0102872i
$257$	−2.32525	−	3.55906i	−0.145045	−	0.222008i	0.757252	−	0.653123i	$-0.226541\pi$
$257$	−2.32525	−	3.55906i	−0.145045	−	0.222008i	−0.902297	+	0.431115i	$0.858120\pi$
$258$	18.9115	−	20.5434i	1.17738	−	1.27898i
$259$	−7.69159	+	4.16248i	−0.477932	+	0.258644i
$260$	1.19633	+	4.72422i	0.0741935	+	0.292983i
$261$	−0.294000	+	0.450001i	−0.0181982	+	0.0278544i
$262$	19.3227			1.19376
$263$	−10.8106	+	3.71129i	−0.666611	+	0.228848i	−0.637176	−	0.770719i	$-0.719897\pi$
$263$	−10.8106	+	3.71129i	−0.666611	+	0.228848i	−0.0294358	+	0.999567i	$0.509371\pi$
$264$	−2.91491	+	1.00069i	−0.179400	+	0.0615882i
$265$	23.8243	+	3.97558i	1.46352	+	0.244218i
$266$	7.48447	+	12.2488i	0.458902	+	0.751024i
$267$	−13.5853	+	2.26699i	−0.831408	+	0.138737i
$268$	8.02162	−	4.34109i	0.489999	−	0.265174i
$269$	−1.99822	+	24.1150i	−0.121834	+	1.47032i	0.611931	+	0.790911i	$0.290393\pi$
$269$	−1.99822	+	24.1150i	−0.121834	+	1.47032i	−0.733765	+	0.679404i	$0.762238\pi$
$270$	1.96238	+	23.6824i	0.119426	+	1.44126i
$271$	−12.7421	−	13.8416i	−0.774028	−	0.840819i	0.216762	−	0.976224i	$-0.430450\pi$
$271$	−12.7421	−	13.8416i	−0.774028	−	0.840819i	−0.990790	+	0.135406i	$0.956766\pi$
$272$	2.57580	−	2.79807i	0.156181	−	0.169658i
$273$	−6.24299	+	9.55561i	−0.377843	+	0.578332i
$274$	0.324023	+	3.91037i	0.0195749	+	0.236234i
$275$	−0.983552	+	11.8697i	−0.0593104	+	0.715770i
$276$	6.68637	−	7.26333i	0.402472	−	0.437201i
$277$	22.7453	+	17.7034i	1.36663	+	1.06369i	0.990557	+	0.137103i	$0.0437790\pi$
$277$	22.7453	+	17.7034i	1.36663	+	1.06369i	0.376075	+	0.926589i	$0.377274\pi$
$278$	0.281175	−	3.39328i	0.0168637	−	0.203515i
$279$	−39.5882	−	6.60610i	−2.37008	−	0.395497i
$280$	−11.5819	+	6.26782i	−0.692152	+	0.374574i
$281$	−1.75266	+	0.292467i	−0.104555	+	0.0174471i	−0.216641	−	0.976251i	$-0.569510\pi$
$281$	−1.75266	+	0.292467i	−0.104555	+	0.0174471i	0.112086	+	0.993699i	$0.464247\pi$
$282$	11.0323	+	5.97036i	0.656961	+	0.355529i
$283$	−19.2169	+	14.9571i	−1.14232	+	0.889107i	−0.994989	−	0.0999801i	$-0.968122\pi$
$283$	−19.2169	+	14.9571i	−1.14232	+	0.889107i	−0.147335	+	0.989087i	$0.547069\pi$
$284$	12.7126	−	6.87971i	0.754354	−	0.408236i
$285$	−18.5339	−	45.9823i	−1.09786	−	2.72376i
$286$	1.16135	+	0.628492i	0.0686722	+	0.0371635i
$287$	34.7986	−	5.80685i	2.05409	−	0.342768i
$288$	3.44691	+	3.74434i	0.203111	+	0.220638i
$289$	0.209427	−	2.52741i	0.0123192	−	0.148671i
$290$	0.399480	+	0.137142i	0.0234583	+	0.00805324i
$291$	−19.6957	−	6.76155i	−1.15458	−	0.396369i
$292$	−7.21389			−0.422161
$293$	0.155687			0.00909531			0.00454766	−	0.999990i	$-0.498552\pi$
$293$	0.155687			0.00909531			0.00454766	+	0.999990i	$0.498552\pi$
$294$	−10.3428	−	3.55067i	−0.603202	−	0.207079i
$295$	−11.9560	−	6.47025i	−0.696104	−	0.376712i
$296$	1.45254	−	2.22328i	0.0844273	−	0.129226i
$297$	5.08135	+	3.95498i	0.294850	+	0.229491i
$298$	−5.26482	+	8.05841i	−0.304983	+	0.466811i
$299$	−4.23004			−0.244629
$300$	29.5684	−	10.1508i	1.70713	−	0.586059i
$301$	−7.93666	−	31.3411i	−0.457461	−	1.80647i
$302$	1.00203	−	1.53372i	0.0576604	−	0.0882557i
$303$	16.9564	−	38.6567i	0.974119	−	2.22077i
$304$	−3.76910	−	2.18949i	−0.216173	−	0.125576i
$305$	−6.76920	−	15.4322i	−0.387603	−	0.883646i
$306$	−19.0915	−	3.18581i	−1.09139	−	0.182120i
$307$	30.0486			1.71496			0.857481	−	0.514515i	$-0.172028\pi$
$307$	30.0486			1.71496			0.857481	+	0.514515i	$0.172028\pi$
$308$	−0.875987	+	3.45920i	−0.0499140	+	0.197106i
$309$	28.3025	−	4.72285i	1.61007	−	0.268674i
$310$	2.60428	+	31.4290i	0.147913	+	1.78505i
$311$	1.30624	+	1.99935i	0.0740700	+	0.113373i	0.872280	−	0.489007i	$-0.162641\pi$
$311$	1.30624	+	1.99935i	0.0740700	+	0.113373i	−0.798210	+	0.602379i	$0.794220\pi$
$312$	0.286225	−	3.45422i	0.0162043	−	0.195557i
$313$	−2.19093	+	3.35347i	−0.123839	+	0.189549i	−0.893704	−	0.448657i	$-0.851902\pi$
$313$	−2.19093	+	3.35347i	−0.123839	+	0.189549i	0.769865	+	0.638207i	$0.220323\pi$
$314$	1.87911	−	7.42044i	0.106044	−	0.418760i
$315$	58.9442	+	31.8990i	3.32113	+	1.79731i
$316$	12.9328	−	4.43982i	0.727525	−	0.249760i
$317$	1.48633	+	2.27499i	0.0834804	+	0.127776i	0.876465	−	0.481465i	$-0.159895\pi$
$317$	1.48633	+	2.27499i	0.0834804	+	0.127776i	−0.792985	+	0.609241i	$0.791474\pi$
$318$	−15.1084	−	8.17623i	−0.847234	−	0.458500i
$319$	0.100653	−	0.0544705i	0.00563546	−	0.00304976i
$320$	2.18722	−	3.34780i	0.122270	−	0.187147i
$321$	−12.7005	+	50.1533i	−0.708874	+	2.79928i
$322$	−2.80609	−	11.0810i	−0.156377	−	0.617519i
$323$	16.4264	−	2.23326i	0.913990	−	0.124262i
$324$	0.400953	−	1.58333i	0.0222752	−	0.0879626i
$325$	−11.7806	−	6.37533i	−0.653469	−	0.353640i
$326$	−6.10921	+	6.63637i	−0.338358	+	0.367555i
$327$	−16.2312	+	37.0033i	−0.897586	+	2.04629i
$328$	−8.45413	+	6.58011i	−0.466801	+	0.363326i
$329$	12.7737	−	6.91281i	0.704240	−	0.381115i
$330$	4.95064	−	11.2863i	0.272524	−	0.621292i
$331$	−26.5106	−	4.42384i	−1.45715	−	0.243156i	−0.617626	−	0.786472i	$-0.711905\pi$
$331$	−26.5106	−	4.42384i	−1.45715	−	0.243156i	−0.839528	+	0.543316i	$0.817168\pi$
$332$	7.40886	+	8.04816i	0.406614	+	0.441700i
$333$	−13.5159			−0.740664
$334$	−6.23607	+	14.2168i	−0.341223	+	0.777909i
$335$	−8.95390	+	35.3582i	−0.489204	+	1.93182i
$336$	9.23853	−	1.54164i	0.504003	−	0.0841033i
$337$	7.44850	+	11.4008i	0.405746	+	0.621040i	0.980321	−	0.197412i	$-0.0632537\pi$
$337$	7.44850	+	11.4008i	0.405746	+	0.621040i	−0.574575	+	0.818452i	$0.694833\pi$
$338$	9.08687	−	7.07259i	0.494260	−	0.384698i
$339$	14.1063	−	2.35392i	0.766147	−	0.127847i
$340$	1.25592	+	15.1567i	0.0681118	+	0.821987i
$341$	6.74349	+	5.24867i	0.365180	+	0.284231i
$342$	1.16309	+	22.1534i	0.0628926	+	1.19792i
$343$	8.19961	−	6.38201i	0.442737	−	0.344596i
$344$	6.64921	+	7.22297i	0.358502	+	0.389437i
$345$	3.26017	+	39.3444i	0.175521	+	2.11823i
$346$	−1.85361	+	2.83716i	−0.0996506	+	0.152527i
$347$	−3.18254	+	7.25545i	−0.170848	+	0.389493i	−0.980250	−	0.197761i	$-0.936633\pi$
$347$	−3.18254	+	7.25545i	−0.170848	+	0.389493i	0.809403	+	0.587254i	$0.199791\pi$
$348$	−0.237056	−	0.184508i	−0.0127075	−	0.00989068i
$349$	12.5867	−	2.10035i	0.673753	−	0.112429i	0.182179	−	0.983265i	$-0.441685\pi$
$349$	12.5867	−	2.10035i	0.673753	−	0.112429i	0.491574	+	0.870836i	$0.336422\pi$
$350$	8.88589	−	35.0896i	0.474971	−	1.87562i
$351$	−6.36893	+	3.44669i	−0.339948	+	0.183971i
$352$	−0.266003	−	1.05042i	−0.0141780	−	0.0559878i
$353$	5.53489	+	1.90013i	0.294592	+	0.101134i	0.468034	−	0.883711i	$-0.344963\pi$
$353$	5.53489	+	1.90013i	0.294592	+	0.101134i	−0.173442	+	0.984844i	$0.555489\pi$
$354$	6.54848	+	7.11354i	0.348048	+	0.378081i
$355$	−14.1901	+	56.0353i	−0.753130	+	2.97404i
$356$	−0.399898	−	4.82605i	−0.0211945	−	0.255780i
$357$	−24.1257	+	26.2075i	−1.27687	+	1.38705i
$358$	14.2951	+	11.1263i	0.755520	+	0.588045i
$359$	2.60345	+	5.93527i	0.137405	+	0.313252i	0.970982	−	0.239151i	$-0.0768690\pi$
$359$	2.60345	+	5.93527i	0.137405	+	0.313252i	−0.833577	+	0.552403i	$0.813711\pi$
$360$	−20.3520			−1.07265
$361$	−6.56728	−	17.8289i	−0.345646	−	0.938365i
$362$	6.29902			0.331069
$363$	11.2260	+	25.5926i	0.589210	+	1.34326i
$364$	−3.16697	−	2.46495i	−0.165995	−	0.129199i
$365$	19.5383	−	21.2242i	1.02268	−	1.11093i
$366$	0.989739	+	11.9444i	0.0517345	+	0.624343i
$367$	1.25076	−	4.93913i	0.0652890	−	0.257821i	−0.928146	−	0.372216i	$-0.878598\pi$
$367$	1.25076	−	4.93913i	0.0652890	−	0.257821i	0.993435	+	0.114395i	$0.0364929\pi$
$368$	2.35090	+	2.55376i	0.122549	+	0.133124i
$369$	51.5683	+	17.7034i	2.68454	+	0.921603i
$370$	2.60709	+	10.2952i	0.135536	+	0.535220i
$371$	−17.4933	+	9.46689i	−0.908206	+	0.491496i
$372$	5.50619	−	21.7434i	0.285483	−	1.12735i
$373$	−26.6240	+	4.44276i	−1.37854	+	0.230037i	−0.807006	−	0.590543i	$-0.798914\pi$
$373$	−26.6240	+	4.44276i	−1.37854	+	0.230037i	−0.571531	+	0.820580i	$0.693650\pi$
$374$	3.25206	+	2.53118i	0.168160	+	0.130884i
$375$	−27.3747	+	62.4080i	−1.41362	+	3.22274i
$376$	−2.41230	+	3.69230i	−0.124405	+	0.190416i
$377$	0.0106290	+	0.128273i	0.000547420	+	0.00660638i
$378$	−13.2539	−	14.3976i	−0.681707	−	0.740531i
$379$	24.2088	−	18.8425i	1.24352	−	0.967873i	0.243526	−	0.969894i	$-0.421696\pi$
$379$	24.2088	−	18.8425i	1.24352	−	0.967873i	0.999998	+	0.00202098i	$0.000643299\pi$
$380$	16.6501	−	5.15912i	0.854132	−	0.264657i
$381$	−49.4467	−	38.4859i	−2.53323	−	1.97169i
$382$	−1.63049	−	19.6771i	−0.0834234	−	1.00677i
$383$	11.8728	−	1.98122i	0.606672	−	0.101236i	0.146718	−	0.989178i	$-0.453129\pi$
$383$	11.8728	−	1.98122i	0.606672	−	0.101236i	0.459954	+	0.887943i	$0.347866\pi$
$384$	−2.24445	+	1.74693i	−0.114537	+	0.0891476i
$385$	−7.80486	−	11.9462i	−0.397773	−	0.608836i
$386$	−18.4889	+	3.08525i	−0.941060	+	0.157035i
$387$	12.2656	−	48.4356i	0.623494	−	2.46212i
$388$	2.94107	−	6.70497i	0.149310	−	0.340393i
$389$	−18.7413			−0.950223			−0.475111	−	0.879926i	$-0.657592\pi$
$389$	−18.7413			−0.950223			−0.475111	+	0.879926i	$0.657592\pi$
$390$	9.38755	+	10.1976i	0.475357	+	0.516375i
$391$	−13.0210	−	2.17282i	−0.658500	−	0.109884i
$392$	1.54444	−	3.52096i	0.0780058	−	0.177835i
$393$	48.3334	−	26.1567i	2.43810	−	1.31943i
$394$	4.06433	−	3.16339i	0.204758	−	0.159370i
$395$	−21.9648	+	50.0748i	−1.10517	+	2.51954i
$396$	−3.73501	+	4.05730i	−0.187691	+	0.203887i
$397$	−0.287240	−	0.155446i	−0.0144162	−	0.00780163i	0.468723	−	0.883345i	$-0.344714\pi$
$397$	−0.287240	−	0.155446i	−0.0144162	−	0.00780163i	−0.483139	+	0.875543i	$0.660504\pi$
$398$	−1.55319	+	6.13340i	−0.0778542	+	0.307439i
$399$	35.3024	+	20.5074i	1.76733	+	1.02665i
$400$	2.69830	+	10.6553i	0.134915	+	0.532767i
$401$	−4.20458	+	16.6035i	−0.209967	+	0.829139i	0.771298	+	0.636474i	$0.219608\pi$
$401$	−4.20458	+	16.6035i	−0.209967	+	0.829139i	−0.981265	+	0.192665i	$0.938287\pi$
$402$	14.1887	−	21.7174i	0.707667	−	1.08316i
$403$	−8.45223	+	4.57412i	−0.421036	+	0.227853i
$404$	13.0528	+	7.06381i	0.649400	+	0.351438i
$405$	3.57240	+	5.46797i	0.177514	+	0.271706i
$406$	−0.328972	+	0.112936i	−0.0163266	+	0.00560493i
$407$	2.53085	+	1.36963i	0.125450	+	0.0678900i
$408$	2.65537	−	10.4858i	0.131460	−	0.519126i
$409$	−16.5072	+	25.2662i	−0.816229	+	1.24933i	0.149236	+	0.988802i	$0.452319\pi$
$409$	−16.5072	+	25.2662i	−0.816229	+	1.24933i	−0.965466	+	0.260531i	$0.916103\pi$
$410$	3.53780	−	42.6949i	0.174719	−	2.10855i
$411$	6.10389	+	9.34269i	0.301082	+	0.460841i
$412$	0.833113	+	10.0542i	0.0410445	+	0.495334i
$413$	11.0423	−	1.84264i	0.543358	−	0.0906705i
$414$	4.33662	−	17.1249i	0.213133	−	0.841644i
$415$	−43.7451			−2.14736
$416$	1.20203	+	0.200583i	0.0589344	+	0.00983441i
$417$	−3.89008	−	8.86848i	−0.190498	−	0.434291i
$418$	2.02712	−	4.26610i	0.0991498	−	0.208662i
$419$	−5.47278	+	12.4767i	−0.267363	+	0.609526i	−0.997256	−	0.0740356i	$-0.976412\pi$
$419$	−5.47278	+	12.4767i	−0.267363	+	0.609526i	0.729893	+	0.683562i	$0.239570\pi$
$420$	−20.4861	+	31.3564i	−0.999622	+	1.53003i
$421$	5.37706	+	21.2335i	0.262062	+	1.03486i	0.950789	+	0.309839i	$0.100275\pi$
$421$	5.37706	+	21.2335i	0.262062	+	1.03486i	−0.688727	+	0.725021i	$0.741830\pi$
$422$	23.6382	−	8.11502i	1.15069	−	0.395033i
$423$	22.4463			1.09138
$424$	3.30357	−	5.05650i	0.160436	−	0.245565i
$425$	−32.9884	−	25.6759i	−1.60017	−	1.24547i
$426$	22.4861	−	34.4175i	1.08945	−	1.66753i
$427$	12.2047	+	6.60484i	0.590626	+	0.319631i
$428$	−17.2047	−	5.90638i	−0.831620	−	0.285496i
$429$	3.75575			0.181330
$430$	−39.2598			−1.89328
$431$	−6.77921	−	2.32731i	−0.326543	−	0.112102i	0.156553	−	0.987669i	$-0.449962\pi$
$431$	−6.77921	−	2.32731i	−0.326543	−	0.112102i	−0.483097	+	0.875567i	$0.660488\pi$
$432$	5.62045	+	1.92950i	0.270414	+	0.0928332i
$433$	1.46573	−	17.6888i	0.0704387	−	0.850069i	−0.866183	−	0.499727i	$-0.833434\pi$
$433$	1.46573	−	17.6888i	0.0704387	−	0.850069i	0.936622	−	0.350342i	$-0.113935\pi$
$434$	−17.5893	−	19.1071i	−0.844314	−	0.917169i
$435$	1.18490	−	0.197724i	0.0568114	−	0.00948015i
$436$	−12.4945	−	6.76169i	−0.598379	−	0.323826i
$437$	0.793262	+	15.1093i	0.0379469	+	0.722775i
$438$	−18.0447	+	9.76529i	−0.862208	+	0.466604i
$439$	3.96187	−	3.08365i	0.189090	−	0.147175i	−0.515244	−	0.857044i	$-0.672299\pi$
$439$	3.96187	−	3.08365i	0.189090	−	0.147175i	0.704334	+	0.709869i	$0.251246\pi$
$440$	3.81093	+	2.06237i	0.181679	+	0.0983198i
$441$	−19.3005	+	3.22069i	−0.919074	+	0.153366i
$442$	−4.07611	+	2.20588i	−0.193881	+	0.104923i
$443$	0.762476	+	0.127235i	0.0362263	+	0.00604511i	0.182680	−	0.983172i	$-0.441523\pi$
$443$	0.762476	+	0.127235i	0.0362263	+	0.00604511i	−0.146454	+	0.989218i	$0.546786\pi$
$444$	0.623750	−	7.52754i	0.0296019	−	0.357241i
$445$	15.2820	+	11.8944i	0.724434	+	0.563850i
$446$	−14.1243	+	15.3431i	−0.668805	+	0.726516i
$447$	−2.26082	+	27.2840i	−0.106933	+	1.29049i
$448$	0.271946	+	3.28190i	0.0128482	+	0.155055i
$449$	−1.50517	+	2.30383i	−0.0710332	+	0.108724i	−0.870916	−	0.491432i	$-0.836474\pi$
$449$	−1.50517	+	2.30383i	−0.0710332	+	0.108724i	0.799883	+	0.600156i	$0.204895\pi$
$450$	37.8874	−	41.1566i	1.78603	−	1.94014i
$451$	−7.86222	−	8.54065i	−0.370218	−	0.402163i
$452$	0.415232	+	5.01110i	0.0195309	+	0.235703i
$453$	0.430291	−	5.19284i	0.0202168	−	0.243981i
$454$	1.08771	−	0.588639i	0.0510488	−	0.0276262i
$455$	15.8297	−	2.64151i	0.742109	−	0.123836i
$456$	−12.3918	−	0.374595i	−0.580300	−	0.0175420i
$457$	−28.1445	−	4.69649i	−1.31655	−	0.219693i	−0.535696	−	0.844411i	$-0.679951\pi$
$457$	−28.1445	−	4.69649i	−1.31655	−	0.219693i	−0.780850	+	0.624718i	$0.785214\pi$
$458$	−13.7059	+	4.70524i	−0.640434	+	0.219861i
$459$	−21.3754	+	7.33818i	−0.997718	+	0.342517i
$460$	−13.8807			−0.647192
$461$	18.8460	−	28.8459i	0.877744	−	1.34349i	−0.0607360	−	0.998154i	$-0.519345\pi$
$461$	18.8460	−	28.8459i	0.877744	−	1.34349i	0.938480	−	0.345333i	$-0.112234\pi$
$462$	2.49146	+	9.83856i	0.115913	+	0.457731i
$463$	20.4643	−	11.0747i	0.951058	−	0.514687i	0.0751538	−	0.997172i	$-0.476055\pi$
$463$	20.4643	−	11.0747i	0.951058	−	0.514687i	0.875904	+	0.482485i	$0.160266\pi$
$464$	0.0715336	−	0.0777062i	0.00332086	−	0.00360742i
$465$	49.0590	+	75.0904i	2.27506	+	3.48223i
$466$	−24.2823	+	4.05199i	−1.12485	+	0.187705i
$467$	18.4583	−	3.08015i	0.854148	−	0.142532i	0.278708	−	0.960376i	$-0.410094\pi$
$467$	18.4583	−	3.08015i	0.854148	−	0.142532i	0.575440	+	0.817844i	$0.304831\pi$
$468$	−2.49136	−	5.67974i	−0.115163	−	0.262546i
$469$	−12.0655	−	27.5067i	−0.557135	−	1.27014i
$470$	−4.32970	−	17.0976i	−0.199714	−	0.788654i
$471$	−5.34452	−	21.1050i	−0.246263	−	0.972469i
$472$	−2.68268	+	2.08802i	−0.123480	+	0.0961087i
$473$	−7.20496	+	7.82667i	−0.331284	+	0.359871i
$474$	26.3396	−	28.6125i	1.20982	−	1.31421i
$475$	−20.5628	+	43.2747i	−0.943488	+	1.98558i
$476$	−8.48248	−	9.21443i	−0.388794	−	0.422343i
$477$	−30.7396			−1.40747
$478$	−1.67380	+	3.81589i	−0.0765580	+	0.174535i
$479$	−28.4091	−	4.74064i	−1.29804	−	0.216605i	−0.525079	−	0.851053i	$-0.675964\pi$
$479$	−28.4091	−	4.74064i	−1.29804	−	0.216605i	−0.772966	+	0.634448i	$0.781228\pi$
$480$	0.939236	−	11.3349i	0.0428701	−	0.517365i
$481$	−2.55397	+	1.98784i	−0.116451	+	0.0906376i
$482$	−4.36856	−	2.36415i	−0.198983	−	0.107684i
$483$	−22.0192	−	23.9192i	−1.00191	−	1.08836i
$484$	−9.29346	+	3.19045i	−0.422430	+	0.145020i
$485$	11.7612	+	26.8129i	0.534050	+	1.21751i
$486$	3.23596	+	12.7785i	0.146786	+	0.579645i
$487$	19.0037	+	3.17115i	0.861138	+	0.143699i	0.578654	−	0.815573i	$-0.303578\pi$
$487$	19.0037	+	3.17115i	0.861138	+	0.143699i	0.282485	+	0.959272i	$0.408841\pi$
$488$	−4.21399			−0.190758
$489$	−6.29793	+	24.8700i	−0.284802	+	1.12466i
$490$	6.17614	+	14.0802i	0.279009	+	0.636077i
$491$	−24.3218	−	4.05858i	−1.09763	−	0.183161i	−0.412049	−	0.911162i	$-0.635187\pi$
$491$	−24.3218	−	4.05858i	−1.09763	−	0.183161i	−0.685577	+	0.728000i	$0.740450\pi$
$492$	−12.2396	+	27.9035i	−0.551805	+	1.25799i
$493$	−0.0331708	+	0.400311i	−0.00149394	+	0.0180291i
$494$	3.47798	+	4.01507i	0.156482	+	0.180647i
$495$	−1.82113	−	21.9778i	−0.0818537	−	0.987827i
$496$	7.45892	+	2.56065i	0.334916	+	0.114977i
$497$	−19.1214	−	43.5923i	−0.857710	−	1.95538i
$498$	29.4270	+	10.1023i	1.31865	+	0.452694i
$499$	−0.793627	−	1.80929i	−0.0355276	−	0.0809948i	0.897114	−	0.441800i	$-0.145660\pi$
$499$	−0.793627	−	1.80929i	−0.0355276	−	0.0809948i	−0.932641	+	0.360805i	$0.882502\pi$
$500$	−21.0726	−	11.4039i	−0.942398	−	0.510000i
$501$	3.64621	+	44.0032i	0.162901	+	1.96592i
$502$	10.6461	−	8.28623i	0.475161	−	0.369832i
$503$	−1.23086	−	14.8543i	−0.0548813	−	0.662319i	−0.967395	−	0.253273i	$-0.918493\pi$
$503$	−1.23086	−	14.8543i	−0.0548813	−	0.662319i	0.912514	−	0.409046i	$-0.134139\pi$
$504$	13.2259	−	10.2941i	0.589129	−	0.458538i
$505$	−56.1351	+	19.2712i	−2.49798	+	0.857557i
$506$	−2.54739	+	2.76720i	−0.113245	+	0.123017i
$507$	13.1557	−	29.9919i	0.584264	−	1.33199i
$508$	14.9209	−	16.2084i	0.662009	−	0.719133i
$509$	16.2032	+	24.8009i	0.718195	+	1.09928i	0.990559	+	0.137086i	$0.0437736\pi$
$509$	16.2032	+	24.8009i	0.718195	+	1.09928i	−0.272364	+	0.962194i	$0.587805\pi$
$510$	23.6588	+	36.2125i	1.04763	+	1.60352i
$511$	−1.96179	+	23.6752i	−0.0867843	+	1.04733i
$512$	−0.546948	−	0.837166i	−0.0241719	−	0.0369979i
$513$	13.5056	+	22.1028i	0.596287	+	0.975863i
$514$	2.32525	−	3.55906i	0.102562	−	0.156983i
$515$	−31.8371	−	24.7798i	−1.40291	−	1.09193i
$516$	26.4098	+	9.06649i	1.16263	+	0.399130i
$517$	−4.20309	−	2.27460i	−0.184852	−	0.100037i
$518$	−6.90157	−	5.37170i	−0.303237	−	0.236019i
$519$	−0.795975	+	9.60599i	−0.0349394	+	0.421656i
$520$	−3.84575	+	2.99327i	−0.168647	+	0.131263i
$521$	−0.336847	−	0.515583i	−0.0147575	−	0.0225881i	0.829712	−	0.558192i	$-0.188505\pi$
$521$	−0.336847	−	0.515583i	−0.0147575	−	0.0225881i	−0.844469	+	0.535604i	$0.820084\pi$
$522$	−0.530197	−	0.0884743i	−0.0232061	−	0.00387241i
$523$	1.88196	+	1.46479i	0.0822926	+	0.0640509i	0.654524	−	0.756042i	$-0.272869\pi$
$523$	1.88196	+	1.46479i	0.0822926	+	0.0640509i	−0.572231	+	0.820093i	$0.693922\pi$
$524$	7.76185	+	17.6952i	0.339078	+	0.773020i
$525$	−25.2730	−	99.8009i	−1.10300	−	4.35567i
$526$	−7.74128	−	8.40927i	−0.337536	−	0.366662i
$527$	−28.3674	+	9.73854i	−1.23570	+	0.424217i
$528$	−2.08731	−	2.26742i	−0.0908385	−	0.0986769i
$529$	−2.68846	+	10.6165i	−0.116889	+	0.461586i
$530$	5.92940	+	23.4147i	0.257557	+	1.01707i
$531$	16.3638	+	5.61768i	0.710126	+	0.243787i
$532$	−8.21067	+	11.7744i	−0.355978	+	0.510484i
$533$	12.3481	−	4.23912i	0.534857	−	0.183617i
$534$	−7.53321	−	11.5304i	−0.325994	−	0.498971i
$535$	63.9749	−	34.6215i	2.76588	−	1.49682i
$536$	7.19770	+	5.60219i	0.310893	+	0.241978i
$537$	50.8189	+	8.48018i	2.19300	+	0.365947i
$538$	−22.8865	+	7.85695i	−0.986708	+	0.338737i
$539$	3.94041	+	1.35274i	0.169725	+	0.0582668i
$540$	−20.8994	+	11.3102i	−0.899367	+	0.486713i
$541$	0.903818	−	2.06050i	0.0388582	−	0.0885877i	−0.895272	−	0.445519i	$-0.853019\pi$
$541$	0.903818	−	2.06050i	0.0388582	−	0.0885877i	0.934131	+	0.356931i	$0.116177\pi$
$542$	7.55734	−	17.2290i	0.324616	−	0.740049i
$543$	15.7562	−	8.52685i	0.676165	−	0.365922i
$544$	3.59708	+	1.23488i	0.154224	+	0.0529450i
$545$	53.7342	−	18.4470i	2.30172	−	0.790182i
$546$	−11.2586	−	1.87872i	−0.481821	−	0.0804018i
$547$	7.47555	+	5.81846i	0.319632	+	0.248779i	0.761301	−	0.648399i	$-0.224561\pi$
$547$	7.47555	+	5.81846i	0.319632	+	0.248779i	−0.441669	+	0.897178i	$0.645614\pi$
$548$	−3.45086	+	1.86751i	−0.147413	+	0.0797761i
$549$	11.7301	+	17.9542i	0.500627	+	0.766266i
$550$	−11.2650	+	3.86729i	−0.480343	+	0.164902i
$551$	0.456184	−	0.0620208i	0.0194341	−	0.00264217i
$552$	9.33745	+	3.20555i	0.397428	+	0.136437i
$553$	−11.0540	−	43.6514i	−0.470065	−	1.85624i
$554$	−7.07559	+	27.9409i	−0.300613	+	1.18709i
$555$	20.4576	+	22.2229i	0.868378	+	0.943310i
$556$	3.22042	−	1.10557i	0.136576	−	0.0468866i
$557$	−2.86677	−	3.11415i	−0.121469	−	0.131951i	0.672025	−	0.740528i	$-0.265425\pi$
$557$	−2.86677	−	3.11415i	−0.121469	−	0.131951i	−0.793494	+	0.608578i	$0.791740\pi$
$558$	−9.85271	−	38.9075i	−0.417098	−	1.64708i
$559$	−4.80593	−	10.9564i	−0.203269	−	0.463407i
$560$	−10.3923	−	8.08866i	−0.439155	−	0.341808i
$561$	11.5610	+	1.92920i	0.488107	+	0.0814507i
$562$	−0.971869	−	1.48756i	−0.0409958	−	0.0627488i
$563$	−11.8582	+	9.22959i	−0.499763	+	0.388981i	−0.832488	−	0.554043i	$-0.813084\pi$
$563$	−11.8582	+	9.22959i	−0.499763	+	0.388981i	0.332725	+	0.943024i	$0.392032\pi$
$564$	−1.03589	+	12.5013i	−0.0436187	+	0.526400i
$565$	−15.8680	−	12.3505i	−0.667570	−	0.519590i
$566$	−21.4166	−	11.5901i	−0.900208	−	0.487168i
$567$	−5.08727	−	1.74646i	−0.213645	−	0.0733446i
$568$	11.4068	+	8.87830i	0.478621	+	0.372525i
$569$	21.4676	−	32.8585i	0.899967	−	1.37750i	−0.0259052	−	0.999664i	$-0.508247\pi$
$569$	21.4676	−	32.8585i	0.899967	−	1.37750i	0.925872	−	0.377837i	$-0.123332\pi$
$570$	34.6644	−	35.4438i	1.45193	−	1.48458i
$571$	13.1794	+	20.1726i	0.551541	+	0.844197i	0.998737	−	0.0502394i	$-0.0159984\pi$
$571$	13.1794	+	20.1726i	0.551541	+	0.844197i	−0.447196	+	0.894436i	$0.647577\pi$
$572$	−0.109047	+	1.31600i	−0.00455947	+	0.0550246i
$573$	−30.7150	−	47.0128i	−1.28314	−	1.96399i
$574$	19.2962	+	29.5350i	0.805407	+	1.23277i
$575$	25.8404	−	28.0701i	1.07762	−	1.17060i
$576$	−2.04436	+	4.66067i	−0.0851817	+	0.194195i
$577$	9.12296	−	9.91017i	0.379794	−	0.412566i	−0.516316	−	0.856398i	$-0.672697\pi$
$577$	9.12296	−	9.91017i	0.379794	−	0.412566i	0.896110	+	0.443832i	$0.146381\pi$
$578$	2.39866	−	0.823461i	0.0997711	−	0.0342515i
$579$	−42.0713	+	32.7454i	−1.74842	+	1.36085i
$580$	0.0348786	+	0.420922i	0.00144826	+	0.0174779i
$581$	28.4280	−	22.1264i	1.17939	−	0.917959i
$582$	−1.71964	−	20.7529i	−0.0712812	−	0.860236i
$583$	5.75602	+	3.11500i	0.238390	+	0.129010i
$584$	−2.89779	−	6.60629i	−0.119911	−	0.273370i
$585$	23.4582	+	8.05321i	0.969877	+	0.332959i
$586$	0.0625386	+	0.142574i	0.00258345	+	0.00588967i
$587$	−38.4850	−	13.2119i	−1.58845	−	0.545314i	−0.617905	−	0.786252i	$-0.712019\pi$
$587$	−38.4850	−	13.2119i	−1.58845	−	0.545314i	−0.970540	+	0.240938i	$0.922545\pi$
$588$	−0.903027	−	10.8979i	−0.0372402	−	0.449422i
$589$	17.9234	+	29.3328i	0.738519	+	1.20864i
$590$	1.12262	−	13.5480i	0.0462176	−	0.557764i
$591$	5.88421	−	13.4146i	0.242044	−	0.551804i
$592$	2.61950	+	0.437118i	0.107661	+	0.0179654i
$593$	4.49347	+	10.2441i	0.184525	+	0.420674i	0.983553	−	0.180619i	$-0.0578102\pi$
$593$	4.49347	+	10.2441i	0.184525	+	0.420674i	−0.799028	+	0.601293i	$0.794652\pi$
$594$	−1.58071	+	6.24207i	−0.0648571	+	0.256115i
$595$	50.0842			2.05325
$596$	−9.49453	−	1.58436i	−0.388911	−	0.0648978i
$597$	4.41754	+	17.4445i	0.180798	+	0.713954i
$598$	−1.69919	−	3.87376i	−0.0694849	−	0.158410i
$599$	17.9681	−	6.16844i	0.734155	−	0.252036i	0.0678297	−	0.997697i	$-0.478393\pi$
$599$	17.9681	−	6.16844i	0.734155	−	0.252036i	0.666325	+	0.745661i	$0.267866\pi$
$600$	21.1734	+	23.0004i	0.864399	+	0.938988i
$601$	30.7872	+	16.6612i	1.25583	+	0.679623i	0.961165	−	0.275976i	$-0.0890009\pi$
$601$	30.7872	+	16.6612i	1.25583	+	0.679623i	0.294670	+	0.955599i	$0.404790\pi$
$602$	25.5133	−	19.8578i	1.03984	−	0.809342i
$603$	3.83329	−	46.2609i	0.156104	−	1.88389i
$604$	1.80705	+	0.301544i	0.0735279	+	0.0122696i
$605$	15.7839	−	35.9837i	0.641707	−	1.46294i
$606$	42.2120			1.71475
$607$	15.9379	+	17.3132i	0.646899	+	0.702719i	0.969852	−	0.243696i	$-0.0783598\pi$
$607$	15.9379	+	17.3132i	0.646899	+	0.702719i	−0.322953	+	0.946415i	$0.604676\pi$
$608$	0.491047	−	4.33115i	0.0199146	−	0.175651i
$609$	−0.670003	+	0.727818i	−0.0271499	+	0.0294927i
$610$	11.4133	−	12.3981i	0.462109	−	0.501984i
$611$	4.24149	−	3.30129i	0.171592	−	0.133556i
$612$	−4.75149	−	18.7632i	−0.192068	−	0.758458i
$613$	4.04404	+	15.9696i	0.163337	+	0.645005i	0.995851	+	0.0910000i	$0.0290063\pi$
$613$	4.04404	+	15.9696i	0.163337	+	0.645005i	−0.832513	+	0.554005i	$0.813099\pi$
$614$	12.0704	+	27.5177i	0.487121	+	1.11052i
$615$	−48.9458	−	111.585i	−1.97368	−	4.49954i
$616$	−3.51972	+	0.587337i	−0.141814	+	0.0236645i
$617$	8.90878	−	1.48661i	0.358654	−	0.0598488i	0.0174755	−	0.999847i	$-0.494437\pi$
$617$	8.90878	−	1.48661i	0.358654	−	0.0598488i	0.341178	+	0.939999i	$0.389174\pi$
$618$	15.6940	+	24.0215i	0.631307	+	0.966288i
$619$	−15.5336	+	16.8739i	−0.624346	+	0.678221i	−0.965085	−	0.261937i	$-0.915639\pi$
$619$	−15.5336	+	16.8739i	−0.624346	+	0.678221i	0.340739	+	0.940158i	$0.389323\pi$
$620$	−27.7357	+	15.0098i	−1.11389	+	0.602808i
$621$	−5.06354	−	19.9955i	−0.203193	−	0.802391i
$622$	−1.30624	+	1.99935i	−0.0523754	+	0.0801665i
$623$	−15.9473			−0.638916
$624$	3.27826	−	1.12543i	0.131235	−	0.0450531i
$625$	38.6449	−	13.2668i	1.54580	−	0.530673i
$626$	−3.95111	−	0.659323i	−0.157918	−	0.0263518i
$627$	−0.704319	−	13.4152i	−0.0281278	−	0.535751i
$628$	7.55027	−	1.25992i	0.301289	−	0.0502762i
$629$	−8.88278	+	4.80712i	−0.354180	+	0.191672i
$630$	−5.53465	+	66.7933i	−0.220506	+	2.66111i
$631$	−1.45111	−	17.5122i	−0.0577676	−	0.697151i	−0.962520	−	0.271212i	$-0.912575\pi$
$631$	−1.45111	−	17.5122i	−0.0577676	−	0.697151i	0.904752	−	0.425939i	$-0.140056\pi$
$632$	9.26090	+	10.0600i	0.368379	+	0.400166i
$633$	48.1430	−	52.2973i	1.91351	−	2.07863i
$634$	−1.48633	+	2.27499i	−0.0590296	+	0.0903515i
$635$	7.27520	+	87.7986i	0.288708	+	3.48418i
$636$	1.41862	−	17.1202i	0.0562519	−	0.678859i
$637$	−3.17338	+	3.44721i	−0.125734	+	0.136583i
$638$	0.0903143	+	0.0702944i	0.00357558	+	0.00278298i
$639$	6.07496	−	73.3139i	0.240322	−	2.90025i
$640$	3.94442	+	0.658207i	0.155917	+	0.0260179i
$641$	39.2806	−	21.2576i	1.55149	−	0.839625i	0.551506	−	0.834171i	$-0.314053\pi$
$641$	39.2806	−	21.2576i	1.55149	−	0.839625i	0.999985	−	0.00545442i	$-0.00173620\pi$
$642$	−51.0308	+	8.51553i	−2.01402	+	0.336081i
$643$	31.8059	+	17.2125i	1.25430	+	0.678794i	0.960821	−	0.277171i	$-0.0893970\pi$
$643$	31.8059	+	17.2125i	1.25430	+	0.678794i	0.293480	+	0.955965i	$0.405186\pi$
$644$	9.02048	−	7.02092i	0.355457	−	0.276663i
$645$	−98.2036	+	53.1451i	−3.86676	+	2.09259i
$646$	8.64358	+	14.1458i	0.340077	+	0.556558i
$647$	4.63790	+	2.50991i	0.182335	+	0.0986746i	0.564551	−	0.825398i	$-0.309049\pi$
$647$	4.63790	+	2.50991i	0.182335	+	0.0986746i	−0.382216	+	0.924073i	$0.624839\pi$
$648$	1.61103	−	0.268833i	0.0632872	−	0.0105608i
$649$	−2.49486	−	2.71014i	−0.0979317	−	0.106382i
$650$	1.10615	−	13.3493i	0.0433869	−	0.523602i
$651$	−69.8623	−	23.9838i	−2.73812	−	0.939998i
$652$	−8.53145	−	2.92885i	−0.334117	−	0.114703i
$653$	−12.0152			−0.470193			−0.235096	−	0.971972i	$-0.575541\pi$
$653$	−12.0152			−0.470193			−0.235096	+	0.971972i	$0.575541\pi$
$654$	−40.4067			−1.58003
$655$	−73.0840	−	25.0898i	−2.85563	−	0.980339i
$656$	−9.42188	−	5.09887i	−0.367863	−	0.199077i
$657$	−20.0806	+	30.7357i	−0.783419	+	1.19911i
$658$	11.4617	+	8.92102i	0.446824	+	0.347777i
$659$	−6.52124	+	9.98151i	−0.254032	+	0.388824i	−0.941296	−	0.337583i	$-0.890390\pi$
$659$	−6.52124	+	9.98151i	−0.254032	+	0.388824i	0.687264	+	0.726408i	$0.258812\pi$
$660$	12.3244			0.479726
$661$	−15.7122	+	5.39401i	−0.611134	+	0.209803i	−0.612854	−	0.790196i	$-0.709979\pi$
$661$	−15.7122	+	5.39401i	−0.611134	+	0.209803i	0.00172004	+	0.999999i	$0.499452\pi$
$662$	−6.59795	−	26.0547i	−0.256437	−	1.01265i
$663$	−7.20983	+	11.0355i	−0.280007	+	0.428582i
$664$	−4.39419	+	10.0177i	−0.170528	+	0.388764i
$665$	−12.4038	−	56.0469i	−0.480998	−	2.17340i
$666$	−5.42926	−	12.3775i	−0.210379	−	0.479617i
$667$	−0.361611	−	0.0603422i	−0.0140016	−	0.00233646i
$668$	−15.5244			−0.600656
$669$	−14.5606	+	57.4986i	−0.562946	+	2.22302i
$670$	−35.9768	+	6.00347i	−1.38991	+	0.231934i
$671$	−0.377073	−	4.55060i	−0.0145568	−	0.175674i
$672$	5.12287	+	7.84113i	0.197619	+	0.302478i
$673$	−0.734192	+	8.86038i	−0.0283010	+	0.341543i	0.967694	+	0.252129i	$0.0811308\pi$
$673$	−0.734192	+	8.86038i	−0.0283010	+	0.341543i	−0.995995	+	0.0894133i	$0.971501\pi$
$674$	−7.44850	+	11.4008i	−0.286905	+	0.439141i
$675$	16.0344	−	63.3186i	0.617166	−	2.43713i
$676$	10.1270	+	5.48048i	0.389502	+	0.210788i
$677$	3.46569	−	1.18977i	0.133197	−	0.0457267i	−0.257295	−	0.966333i	$-0.582831\pi$
$677$	3.46569	−	1.18977i	0.133197	−	0.0457267i	0.390492	+	0.920606i	$0.372305\pi$
$678$	7.82207	+	11.9726i	0.300405	+	0.459804i
$679$	−21.2052	−	11.4757i	−0.813780	−	0.440396i
$680$	−13.3756	+	7.23851i	−0.512931	+	0.277584i
$681$	1.92395	−	2.94482i	0.0737257	−	0.112846i
$682$	−2.09776	+	8.28387i	−0.0803274	+	0.317206i
$683$	2.06666	+	8.16104i	0.0790784	+	0.312274i	0.996283	−	0.0861435i	$-0.0274544\pi$
$683$	2.06666	+	8.16104i	0.0790784	+	0.312274i	−0.917204	+	0.398417i	$0.869560\pi$
$684$	−19.8203	+	9.96403i	−0.757847	+	0.380984i
$685$	3.85192	−	15.2109i	0.147174	−	0.581178i
$686$	9.13822	+	4.94536i	0.348899	+	0.188815i
$687$	−27.9142	+	30.3229i	−1.06499	+	1.15689i
$688$	−3.94365	+	8.99061i	−0.150350	+	0.342764i
$689$	−5.80860	+	4.52102i	−0.221290	+	0.172237i
$690$	−34.7209	+	18.7900i	−1.32180	+	0.715324i
$691$	−10.9790	+	25.0297i	−0.417662	+	0.952173i	0.573462	+	0.819232i	$0.305600\pi$
$691$	−10.9790	+	25.0297i	−0.417662	+	0.952173i	−0.991124	+	0.132941i	$0.957558\pi$
$692$	−3.34278	−	0.557811i	−0.127073	−	0.0212048i
$693$	12.2999	+	13.3613i	0.467235	+	0.507553i
$694$	−7.92276			−0.300744
$695$	−5.46952	+	12.4692i	−0.207471	+	0.472985i
$696$	0.0737434	−	0.291206i	0.00279523	−	0.0110381i
$697$	40.1878	−	6.70615i	1.52222	−	0.254014i
$698$	6.97948	+	10.6829i	0.264177	+	0.404354i
$699$	−55.2540	+	43.0059i	−2.08990	+	1.62663i
$700$	35.7035	−	5.95786i	1.34947	−	0.225186i
$701$	−0.213068	−	2.57135i	−0.00804746	−	0.0971184i	0.991377	−	0.131040i	$-0.0418318\pi$
$701$	−0.213068	−	2.57135i	−0.00804746	−	0.0971184i	−0.999424	+	0.0339221i	$0.989200\pi$
$702$	−5.71476	−	4.44797i	−0.215690	−	0.167878i
$703$	7.57931	+	8.74977i	0.285859	+	0.330004i
$704$	0.855098	−	0.665549i	0.0322277	−	0.0250838i
$705$	−33.9749	−	36.9065i	−1.27957	−	1.38998i
$706$	0.483251	+	5.83197i	0.0181874	+	0.219489i
$707$	26.7323	−	40.9169i	1.00537	−	1.53884i
$708$	−3.88390	+	8.85440i	−0.145966	+	0.332769i
$709$	6.81201	+	5.30200i	0.255830	+	0.199121i	0.734005	−	0.679144i	$-0.237649\pi$
$709$	6.81201	+	5.30200i	0.255830	+	0.199121i	−0.478175	+	0.878265i	$0.658701\pi$
$710$	−57.0157	+	9.51424i	−2.13976	+	0.357063i
$711$	17.0833	−	67.4603i	0.640672	−	2.52996i
$712$	4.25893	−	2.30482i	0.159610	−	0.0863766i
$713$	−6.71985	−	26.5361i	−0.251660	−	0.993784i
$714$	−33.6913	−	11.5662i	−1.26086	−	0.432855i
$715$	−3.57649	−	3.88511i	−0.133753	−	0.145295i
$716$	−4.44692	+	17.5605i	−0.166189	+	0.656266i
$717$	0.978668	+	11.8108i	0.0365490	+	0.441081i
$718$	−4.38957	+	4.76834i	−0.163817	+	0.177953i
$719$	12.7123	+	9.89439i	0.474089	+	0.368998i	0.822892	−	0.568198i	$-0.192359\pi$
$719$	12.7123	+	9.89439i	0.474089	+	0.368998i	−0.348803	+	0.937196i	$0.613412\pi$
$720$	−8.17532	−	18.6379i	−0.304676	−	0.694592i
$721$	33.2233			1.23730
$722$	13.6892	−	13.1759i	0.509460	−	0.490358i
$723$	−14.1277			−0.525416
$724$	2.53029	+	5.76848i	0.0940374	+	0.214384i
$725$	−0.916135	−	0.713056i	−0.0340244	−	0.0264823i
$726$	−18.9276	+	20.5609i	−0.702470	+	0.763085i
$727$	3.26078	+	39.3518i	0.120936	+	1.45948i	0.739189	+	0.673498i	$0.235209\pi$
$727$	3.26078	+	39.3518i	0.120936	+	1.45948i	−0.618253	+	0.785979i	$0.712159\pi$
$728$	0.985181	−	3.89039i	0.0365132	−	0.144187i
$729$	28.7110	+	31.1884i	1.06337	+	1.15513i
$730$	27.2850	+	9.36696i	1.00986	+	0.346687i
$731$	−9.16579	−	36.1949i	−0.339009	−	1.33872i
$732$	−10.5408	+	5.70438i	−0.389598	+	0.210840i
$733$	4.63623	−	18.3081i	0.171243	−	0.676223i	−0.822903	−	0.568181i	$-0.807647\pi$
$733$	4.63623	−	18.3081i	0.171243	−	0.676223i	0.994146	−	0.108042i	$-0.0344581\pi$
$734$	5.02555	−	0.838616i	0.185496	−	0.0309539i
$735$	34.5089	+	26.8593i	1.27288	+	0.990721i
$736$	−1.39432	+	3.17872i	−0.0513952	+	0.117169i
$737$	−5.40564	+	8.27394i	−0.199119	+	0.304775i
$738$	4.50243	+	54.3362i	0.165737	+	2.00014i
$739$	−9.10376	−	9.88932i	−0.334887	−	0.363785i	0.545441	−	0.838149i	$-0.316362\pi$
$739$	−9.10376	−	9.88932i	−0.334887	−	0.363785i	−0.880329	+	0.474365i	$0.842678\pi$
$740$	−8.38078	+	6.52302i	−0.308083	+	0.239791i
$741$	14.1348	+	5.33515i	0.519256	+	0.195992i
$742$	−15.6965	−	12.2171i	−0.576237	−	0.448503i
$743$	3.94877	+	47.6546i	0.144866	+	1.74828i	0.551039	+	0.834480i	$0.314232\pi$
$743$	3.94877	+	47.6546i	0.144866	+	1.74828i	−0.406172	+	0.913796i	$0.633137\pi$
$744$	22.1239	−	3.69182i	0.811101	−	0.135349i
$745$	30.3766	−	23.6431i	1.11291	−	0.866215i
$746$	−14.7633	−	22.5969i	−0.540522	−	0.827331i
$747$	54.9134	−	9.16343i	2.00918	−	0.335272i
$748$	−1.01165	+	3.99492i	−0.0369896	+	0.146069i
$749$	−24.0629	+	54.8578i	−0.879238	+	2.00446i
$750$	−68.1479			−2.48841
$751$	3.34619	+	3.63493i	0.122104	+	0.132640i	0.793781	−	0.608204i	$-0.208110\pi$
$751$	3.34619	+	3.63493i	0.122104	+	0.132640i	−0.671677	+	0.740844i	$0.734426\pi$
$752$	−4.35032	−	0.725940i	−0.158640	−	0.0264723i
$753$	15.4131	−	35.1384i	0.561686	−	1.28052i
$754$	−0.113199	+	0.0612603i	−0.00412247	+	0.00223097i
$755$	−5.78144	+	4.49988i	−0.210408	+	0.163767i
$756$	7.86088	−	17.9210i	0.285898	−	0.651781i
$757$	4.03973	−	4.38831i	0.146826	−	0.159496i	−0.657976	−	0.753039i	$-0.728587\pi$
$757$	4.03973	−	4.38831i	0.146826	−	0.159496i	0.804802	+	0.593543i	$0.202271\pi$
$758$	26.9800	+	14.6009i	0.979958	+	0.530327i
$759$	−2.62608	+	10.3702i	−0.0953207	+	0.376413i
$760$	11.4129	+	13.1753i	0.413988	+	0.477919i
$761$	−3.73378	−	14.7444i	−0.135349	−	0.534483i	−0.999511	−	0.0312685i	$-0.990045\pi$
$761$	−3.73378	−	14.7444i	−0.135349	−	0.534483i	0.864162	−	0.503215i	$-0.167849\pi$
$762$	15.3819	−	60.7416i	0.557226	−	2.20043i
$763$	−25.5890	+	39.1669i	−0.926384	+	1.41794i
$764$	17.3648	−	9.39738i	0.628238	−	0.339985i
$765$	68.0729	+	36.8392i	2.46118	+	1.33192i
$766$	6.58360	+	10.0769i	0.237875	+	0.364095i
$767$	3.91834	−	1.34517i	0.141483	−	0.0485711i
$768$	−2.50138	−	1.35368i	−0.0902607	−	0.0488466i
$769$	1.67228	−	6.60370i	0.0603041	−	0.238135i	−0.931908	−	0.362694i	$-0.881857\pi$
$769$	1.67228	−	6.60370i	0.0603041	−	0.238135i	0.992212	+	0.124559i	$0.0397516\pi$
$770$	7.80486	−	11.9462i	0.281268	−	0.430512i
$771$	0.998507	−	12.0502i	0.0359603	−	0.433977i
$772$	−10.2523	−	15.6923i	−0.368988	−	0.564779i
$773$	−1.01448	−	12.2430i	−0.0364884	−	0.440349i	−0.990203	−	0.139636i	$-0.955407\pi$
$773$	−1.01448	−	12.2430i	−0.0364884	−	0.440349i	0.953715	−	0.300713i	$-0.0972248\pi$
$774$	49.2831	−	8.22389i	1.77144	−	0.295602i
$775$	21.2794	−	84.0304i	0.764378	−	3.01846i
$776$	7.32164			0.262832
$777$	−24.5350	−	4.09416i	−0.880187	−	0.146877i
$778$	−7.52830	−	17.1628i	−0.269903	−	0.615316i
$779$	−17.4574	−	43.3114i	−0.625475	−	1.55179i
$780$	−5.56775	+	12.6932i	−0.199357	+	0.454489i
$781$	−8.56680	+	13.1125i	−0.306544	+	0.469201i
$782$	−3.24066	−	12.7971i	−0.115886	−	0.457623i
$783$	−0.593624	+	0.203792i	−0.0212144	+	0.00728292i
$784$	3.84479			0.137314
$785$	−16.7425	+	25.6263i	−0.597565	+	0.914641i
$786$	43.3689	+	33.7554i	1.54692	+	1.20402i
$787$	5.05496	−	7.73719i	0.180190	−	0.275801i	−0.735636	−	0.677377i	$-0.763116\pi$
$787$	5.05496	−	7.73719i	0.180190	−	0.275801i	0.915826	+	0.401576i	$0.131538\pi$
$788$	4.52958	+	2.45128i	0.161359	+	0.0873234i
$789$	−30.7473	−	10.5556i	−1.09463	−	0.375788i
$790$	−54.6803			−1.94544
$791$	16.5588			0.588765
$792$	−5.21590	−	1.79062i	−0.185339	−	0.0636270i
$793$	4.85713	+	1.66746i	0.172482	+	0.0592131i
$794$	0.0269708	−	0.325489i	0.000957157	−	0.0115512i
$795$	46.5276	+	50.5424i	1.65016	+	1.79256i
$796$	−6.24071	+	1.04139i	−0.221196	+	0.0369111i
$797$	−29.2753	−	15.8430i	−1.03698	−	0.561188i	−0.134054	−	0.990974i	$-0.542799\pi$
$797$	−29.2753	−	15.8430i	−1.03698	−	0.561188i	−0.902931	+	0.429786i	$0.858589\pi$
$798$	−4.59928	+	40.5668i	−0.162813	+	1.43605i
$799$	14.7520	−	7.98338i	0.521888	−	0.282432i
$800$	−8.67399	+	6.75123i	−0.306672	+	0.238692i
$801$	−21.6751	−	11.7300i	−0.765852	−	0.414458i
$802$	−16.8940	+	2.81911i	−0.596548	+	0.0995462i
$803$	6.87470	−	3.72040i	0.242603	−	0.131290i
$804$	25.5877	+	4.26984i	0.902410	+	0.150586i
$805$	−3.77480	+	45.5551i	−0.133044	+	1.60561i
$806$	−7.58408	−	5.90292i	−0.267138	−	0.207922i
$807$	−46.6120	+	50.6342i	−1.64082	+	1.78241i
$808$	−1.22561	+	14.7909i	−0.0431167	+	0.520341i
$809$	2.91730	+	35.2066i	0.102567	+	1.23780i	0.832401	+	0.554174i	$0.186966\pi$
$809$	2.91730	+	35.2066i	0.102567	+	1.23780i	−0.729834	+	0.683624i	$0.760403\pi$
$810$	−3.57240	+	5.46797i	−0.125522	+	0.192125i
$811$	34.4323	−	37.4034i	1.20908	−	1.31341i	0.272838	−	0.962060i	$-0.412038\pi$
$811$	34.4323	−	37.4034i	1.20908	−	1.31341i	0.936243	−	0.351352i	$-0.114278\pi$
$812$	−0.235570	−	0.255898i	−0.00826690	−	0.00898025i
$813$	−4.41876	−	53.3264i	−0.154973	−	1.87024i
$814$	−0.237638	+	2.86786i	−0.00832920	+	0.100518i
$815$	31.7238	−	17.1681i	1.11124	−	0.601372i
$816$	10.6693	−	1.78039i	0.373500	−	0.0623261i
$817$	−38.2340	+	19.2210i	−1.33764	+	0.672457i
$818$	−29.7690	−	4.96756i	−1.04085	−	0.173687i
$819$	−19.3178	+	6.63182i	−0.675019	+	0.231734i
$820$	40.5200	−	13.9105i	1.41502	−	0.485776i
$821$	32.7194			1.14192			0.570958	−	0.820979i	$-0.306572\pi$
$821$	32.7194			1.14192			0.570958	+	0.820979i	$0.306572\pi$
$822$	−6.10389	+	9.34269i	−0.212897	+	0.325864i
$823$	−10.7304	−	42.3734i	−0.374038	−	1.47704i	−0.814971	−	0.579502i	$-0.803247\pi$
$823$	−10.7304	−	42.3734i	−0.374038	−	1.47704i	0.440933	−	0.897540i	$-0.354648\pi$
$824$	−8.87269	+	4.80166i	−0.309095	+	0.167274i
$825$	−22.9431	+	24.9228i	−0.798775	+	0.867701i
$826$	6.12310	+	9.37211i	0.213050	+	0.326097i
$827$	−2.14025	+	0.357144i	−0.0744237	+	0.0124191i	−0.201689	−	0.979450i	$-0.564643\pi$
$827$	−2.14025	+	0.357144i	−0.0744237	+	0.0124191i	0.127266	+	0.991869i	$0.459380\pi$
$828$	17.4246	−	2.90764i	0.605545	−	0.101048i
$829$	14.8930	+	33.9527i	0.517257	+	1.17923i	0.959340	+	0.282253i	$0.0910818\pi$
$829$	14.8930	+	33.9527i	0.517257	+	1.17923i	−0.442083	+	0.896974i	$0.645760\pi$
$830$	−17.5722	−	40.0606i	−0.609940	−	1.39052i
$831$	20.1242	+	79.4688i	0.698102	+	2.75674i
$832$	0.299161	+	1.18136i	0.0103715	+	0.0409563i
$833$	−11.5391	+	8.98121i	−0.399805	+	0.311180i
$834$	6.55889	−	7.12486i	0.227116	−	0.246714i
$835$	42.0466	−	45.6747i	1.45508	−	1.58064i
$836$	4.72106	+	0.142714i	0.163281	+	0.00493587i
$837$	−31.7396	−	34.4784i	−1.09708	−	1.19175i
$838$	−13.6242			−0.470641
$839$	−1.22190	+	2.78566i	−0.0421848	+	0.0961717i	−0.935602	−	0.353055i	$-0.885143\pi$
$839$	−1.22190	+	2.78566i	−0.0421848	+	0.0961717i	0.893418	+	0.449227i	$0.148301\pi$
$840$	−36.9445	−	6.16495i	−1.27471	−	0.212711i
$841$	2.39388	−	28.8898i	0.0825476	−	0.996201i
$842$	−17.2852	+	13.4536i	−0.595686	+	0.463641i
$843$	−4.44468	−	2.40534i	−0.153083	−	0.0828444i
$844$	16.9269	+	18.3875i	0.582648	+	0.632924i
$845$	−43.5526	+	14.9516i	−1.49826	+	0.514352i
$846$	9.01660	+	20.5558i	0.309997	+	0.706722i
$847$	7.94340	+	31.3678i	0.272939	+	1.07781i
$848$	5.95763	+	0.994153i	0.204586	+	0.0341394i
$849$	−69.2603			−2.37701
$850$	10.2620	−	40.5238i	0.351985	−	1.38996i
$851$	−3.70292	−	8.44181i	−0.126934	−	0.289381i
$852$	40.5512	+	6.76680i	1.38926	+	0.231827i
$853$	−15.3267	+	34.9414i	−0.524777	+	1.19637i	0.431019	+	0.902343i	$0.358154\pi$
$853$	−15.3267	+	34.9414i	−0.524777	+	1.19637i	−0.955797	+	0.294029i	$0.905004\pi$
$854$	−1.14597	+	13.8299i	−0.0392145	+	0.473248i
$855$	24.3661	−	85.3006i	0.833305	−	2.91722i
$856$	−1.50214	−	18.1282i	−0.0513422	−	0.619608i
$857$	8.19901	+	2.81472i	0.280073	+	0.0961491i	0.461157	−	0.887318i	$-0.347434\pi$
$857$	8.19901	+	2.81472i	0.280073	+	0.0961491i	−0.181084	+	0.983468i	$0.557961\pi$
$858$	1.50867	+	3.43942i	0.0515051	+	0.117420i
$859$	24.2244	+	8.31626i	0.826527	+	0.283747i	0.705328	−	0.708881i	$-0.250800\pi$
$859$	24.2244	+	8.31626i	0.826527	+	0.283747i	0.121199	+	0.992628i	$0.461326\pi$
$860$	−15.7705	−	35.9531i	−0.537769	−	1.22599i
$861$	88.2479	+	47.7574i	3.00748	+	1.62757i
$862$	−0.591893	−	7.14309i	−0.0201600	−	0.243295i
$863$	34.3376	−	26.7260i	1.16887	−	0.909765i	0.171712	−	0.985147i	$-0.445070\pi$
$863$	34.3376	−	26.7260i	1.16887	−	0.909765i	0.997155	+	0.0753820i	$0.0240176\pi$
$864$	0.490722	+	5.92213i	0.0166947	+	0.201475i
$865$	10.6948	−	8.32411i	0.363635	−	0.283028i
$866$	16.7877	−	5.76322i	0.570469	−	0.195842i
$867$	4.88525	−	5.30680i	0.165912	−	0.180228i
$868$	10.4322	−	23.7830i	0.354092	−	0.807249i
$869$	−10.0349	+	10.9008i	−0.340412	+	0.369786i
$870$	0.657038	+	1.00567i	0.0222757	+	0.0340954i
$871$	−6.07946	−	9.30531i	−0.205995	−	0.315298i
$872$	1.17319	−	14.1583i	0.0397292	−	0.479460i
$873$	−20.3805	−	31.1947i	−0.689777	−	1.05578i
$874$	−13.5180	+	6.79578i	−0.457254	+	0.229871i
$875$	−43.1572	+	66.0570i	−1.45898	+	2.23313i
$876$	−16.1913	−	12.6022i	−0.547052	−	0.425787i
$877$	15.7203	+	5.39678i	0.530837	+	0.182236i	0.577071	−	0.816694i	$-0.304196\pi$
$877$	15.7203	+	5.39678i	0.530837	+	0.182236i	−0.0462341	+	0.998931i	$0.514722\pi$
$878$	4.41539	+	2.38949i	0.149012	+	0.0806414i
$879$	0.349432	+	0.271974i	0.0117860	+	0.00917344i
$880$	−0.357833	+	4.31840i	−0.0120625	+	0.145573i
$881$	33.2750	−	25.8990i	1.12106	−	0.872558i	0.128192	−	0.991749i	$-0.459083\pi$
$881$	33.2750	−	25.8990i	1.12106	−	0.872558i	0.992871	+	0.119191i	$0.0380301\pi$
$882$	−10.7024	−	16.3812i	−0.360367	−	0.551583i
$883$	21.7443	+	3.62848i	0.731754	+	0.122108i	0.518729	−	0.854939i	$-0.326405\pi$
$883$	21.7443	+	3.62848i	0.731754	+	0.122108i	0.213025	+	0.977047i	$0.431668\pi$
$884$	−3.65744	−	2.84670i	−0.123013	−	0.0957448i
$885$	−15.5316	−	35.4084i	−0.522088	−	1.19024i
$886$	0.189765	+	0.749365i	0.00637528	+	0.0251754i
$887$	−28.4404	−	30.8945i	−0.954934	−	1.03734i	−0.999266	−	0.0383184i	$-0.987800\pi$
$887$	−28.4404	−	30.8945i	−0.954934	−	1.03734i	0.0443312	−	0.999017i	$-0.485884\pi$
$888$	7.14408	−	2.45257i	0.239740	−	0.0823027i
$889$	−49.1367	−	53.3767i	−1.64799	−	1.79020i
$890$	−4.75390	+	18.7727i	−0.159351	+	0.629264i
$891$	0.434465	+	1.71566i	0.0145551	+	0.0574769i
$892$	−19.7245	−	6.77141i	−0.660424	−	0.226724i
$893$	−12.5873	−	14.5311i	−0.421217	−	0.486265i
$894$	−25.8941	+	8.88946i	−0.866029	+	0.297308i
$895$	−39.6211	−	60.6446i	−1.32439	−	2.02713i
$896$	−2.89623	+	1.56736i	−0.0967563	+	0.0523619i
$897$	−9.49413	−	7.38957i	−0.317000	−	0.246731i
$898$	−2.71440	−	0.452954i	−0.0905808	−	0.0151153i
$899$	−0.787802	+	0.270453i	−0.0262747	+	0.00902010i
$900$	52.9093	+	18.1638i	1.76364	+	0.605460i
$901$	−20.2024	+	10.9330i	−0.673041	+	0.364232i
$902$	4.66308	−	10.6308i	0.155264	−	0.353965i
$903$	36.9373	−	84.2085i	1.22920	−	2.80228i
$904$	−4.42224	+	2.39320i	−0.147081	+	0.0795965i
$905$	−23.8247	−	8.17903i	−0.791960	−	0.271880i
$906$	4.92831	−	1.69189i	0.163732	−	0.0562093i
$907$	12.1629	+	2.02964i	0.403864	+	0.0673929i	0.363040	−	0.931773i	$-0.381739\pi$
$907$	12.1629	+	2.02964i	0.403864	+	0.0673929i	0.0408234	+	0.999166i	$0.487002\pi$
$908$	0.975988	+	0.759642i	0.0323893	+	0.0252096i
$909$	66.4299	−	35.9501i	2.20334	−	1.19239i
$910$	8.77775	+	13.4354i	0.290980	+	0.445378i
$911$	−41.5374	+	14.2598i	−1.37620	+	0.472448i	−0.910871	−	0.412692i	$-0.864589\pi$
$911$	−41.5374	+	14.2598i	−1.37620	+	0.472448i	−0.465324	+	0.885140i	$0.654062\pi$
$912$	−4.63469	−	11.4986i	−0.153470	−	0.380755i
$913$	−11.2112	−	3.84879i	−0.371035	−	0.127377i
$914$	−7.00461	−	27.6606i	−0.231692	−	0.914931i
$915$	11.7658	−	46.4622i	0.388966	−	1.53599i
$916$	−9.81453	−	10.6614i	−0.324281	−	0.352263i
$917$	60.1847	−	20.6614i	1.98747	−	0.682300i
$918$	−15.3065	−	16.6273i	−0.505190	−	0.548783i
$919$	11.8461	+	46.7792i	0.390767	+	1.54310i	0.782277	+	0.622931i	$0.214058\pi$
$919$	11.8461	+	46.7792i	0.390767	+	1.54310i	−0.391510	+	0.920174i	$0.628047\pi$
$920$	−5.57582	−	12.7116i	−0.183829	−	0.419089i
$921$	67.4426	+	52.4927i	2.22231	+	1.72969i
$922$	33.9866	+	5.67137i	1.11929	+	0.186777i
$923$	−9.63467	−	14.7470i	−0.317129	−	0.485402i
$924$	−8.00908	+	6.23372i	−0.263479	+	0.205074i
$925$	2.41056	−	29.0912i	0.0792588	−	0.956512i
$926$	18.3624	+	14.2920i	0.603425	+	0.469665i
$927$	45.1561	+	24.4372i	1.48312	+	0.802624i
$928$	0.0998960	+	0.0342943i	0.00327925	+	0.00112577i
$929$	28.5339	+	22.2088i	0.936166	+	0.728647i	0.962578	−	0.271004i	$-0.0873557\pi$
$929$	28.5339	+	22.2088i	0.936166	+	0.728647i	−0.0264125	+	0.999651i	$0.508408\pi$
$930$	−49.0590	+	75.0904i	−1.60871	+	2.46231i
$931$	12.9082	+	10.6885i	0.423049	+	0.350302i
$932$	−13.4648	−	20.6094i	−0.441054	−	0.675083i
$933$	−0.560924	+	6.76935i	−0.0183638	+	0.221619i
$934$	10.2353	+	15.6663i	0.334910	+	0.512618i
$935$	−9.01359	−	13.7963i	−0.294776	−	0.451188i
$936$	4.20058	−	4.56305i	0.137300	−	0.149148i
$937$	−17.2284	+	39.2768i	−0.562827	+	1.28312i	0.372072	+	0.928204i	$0.378648\pi$
$937$	−17.2284	+	39.2768i	−0.562827	+	1.28312i	−0.934899	+	0.354913i	$0.884510\pi$
$938$	20.3432	−	22.0986i	0.664229	−	0.721545i
$939$	−10.7757	+	3.69931i	−0.351652	+	0.120722i
$940$	13.9183	−	10.8331i	0.453965	−	0.353335i
$941$	−2.88881	−	34.8628i	−0.0941727	−	1.13649i	−0.865790	−	0.500408i	$-0.833183\pi$
$941$	−2.88881	−	34.8628i	−0.0941727	−	1.13649i	0.771617	−	0.636087i	$-0.219448\pi$
$942$	17.1806	−	13.3722i	0.559773	−	0.435689i
$943$	3.07080	+	37.0590i	0.0999989	+	1.20681i
$944$	−2.98977	−	1.61798i	−0.0973087	−	0.0526608i
$945$	31.4354	+	71.6654i	1.02259	+	2.33128i
$946$	−10.0617	−	3.45417i	−0.327133	−	0.112305i
$947$	15.8235	+	36.0739i	0.514193	+	1.17224i	0.960732	+	0.277479i	$0.0894988\pi$
$947$	15.8235	+	36.0739i	0.514193	+	1.17224i	−0.446538	+	0.894765i	$0.647343\pi$
$948$	36.7830	+	12.6276i	1.19466	+	0.410127i
$949$	0.725973	+	8.76120i	0.0235661	+	0.284400i
$950$	−47.8898	−	1.44767i	−1.55375	−	0.0469686i
$951$	−0.638257	+	7.70262i	−0.0206969	+	0.249775i
$952$	5.03096	−	11.4694i	0.163054	−	0.371726i
$953$	−16.8734	−	2.81566i	−0.546582	−	0.0912083i	−0.115140	−	0.993349i	$-0.536732\pi$
$953$	−16.8734	−	2.81566i	−0.546582	−	0.0912083i	−0.431441	+	0.902141i	$0.641995\pi$
$954$	−12.3480	−	28.1505i	−0.399780	−	0.911407i
$955$	−19.3830	+	76.5417i	−0.627219	+	2.47683i
$956$	−4.16685			−0.134766
$957$	0.321066	+	0.0535765i	0.0103786	+	0.00173188i
$958$	−7.07045	−	27.9206i	−0.228436	−	0.902073i
$959$	5.19053	+	11.8332i	0.167611	+	0.382114i
$960$	10.7575	−	3.69305i	0.347196	−	0.119193i
$961$	−21.1261	−	22.9491i	−0.681487	−	0.740292i
$962$	−2.84633	−	1.54036i	−0.0917693	−	0.0496631i
$963$	−73.0558	+	56.8616i	−2.35419	+	1.83234i
$964$	0.410192	−	4.95028i	0.0132114	−	0.159438i
$965$	73.9364	+	12.3378i	2.38010	+	0.397168i
$966$	13.0596	−	29.7728i	0.420185	−	0.957924i
$967$	−54.9454			−1.76693			−0.883463	−	0.468502i	$-0.844794\pi$
$967$	−54.9454			−1.76693			−0.883463	+	0.468502i	$0.844794\pi$
$968$	−6.65487	−	7.22911i	−0.213896	−	0.232353i
$969$	40.7697	+	23.6833i	1.30971	+	0.760818i
$970$	−19.8301	+	21.5412i	−0.636706	+	0.691647i
$971$	−0.471662	+	0.512361i	−0.0151363	+	0.0164425i	−0.743246	−	0.669018i	$-0.766715\pi$
$971$	−0.471662	+	0.512361i	−0.0151363	+	0.0164425i	0.728110	+	0.685461i	$0.240399\pi$
$972$	−10.4024	+	8.09647i	−0.333656	+	0.259695i
$973$	−2.75259	−	10.8697i	−0.0882440	−	0.348467i
$974$	4.72963	+	18.6769i	0.151547	+	0.598446i
$975$	−15.3037	−	34.8890i	−0.490111	−	1.11734i
$976$	−1.69274	−	3.85906i	−0.0541832	−	0.123525i
$977$	4.46691	−	0.745396i	0.142909	−	0.0238473i	−0.0927075	−	0.995693i	$-0.529552\pi$
$977$	4.46691	−	0.745396i	0.142909	−	0.0238473i	0.235617	+	0.971846i	$0.424289\pi$
$978$	−25.3051	+	4.22267i	−0.809168	+	0.135026i
$979$	2.87002	+	4.39289i	0.0917262	+	0.140397i
$980$	−10.4133	+	11.3119i	−0.332641	+	0.361345i
$981$	−63.5888	+	34.4125i	−2.03023	+	1.09871i
$982$	−6.05320	−	23.9035i	−0.193165	−	0.762792i
$983$	23.8588	−	36.5186i	0.760976	−	1.16476i	−0.220911	−	0.975294i	$-0.570903\pi$
$983$	23.8588	−	36.5186i	0.760976	−	1.16476i	0.981887	−	0.189467i	$-0.0606760\pi$
$984$	−30.4699			−0.971345
$985$	−19.4800	+	6.68749i	−0.620684	+	0.213081i
$986$	−0.379919	+	0.130426i	−0.0120991	+	0.00415362i
$987$	40.7463	+	6.79935i	1.29697	+	0.216426i
$988$	−2.27981	+	4.79787i	−0.0725304	+	0.152641i
$989$	33.6126	−	5.60895i	1.06882	−	0.178354i
$990$	19.3951	−	10.4961i	0.616417	−	0.333588i
$991$	3.68727	−	44.4987i	0.117130	−	1.41355i	−0.644037	−	0.764994i	$-0.722742\pi$
$991$	3.68727	−	44.4987i	0.117130	−	1.41355i	0.761167	−	0.648555i	$-0.224627\pi$
$992$	0.651239	+	7.85929i	0.0206769	+	0.249533i
$993$	−51.7737	−	56.2412i	−1.64299	−	1.78476i
$994$	32.2397	−	35.0217i	1.02258	−	1.11082i
$995$	13.8386	−	21.1815i	0.438712	−	0.671499i
$996$	2.56927	+	31.0065i	0.0814104	+	0.982478i
$997$	3.57334	−	43.1238i	0.113169	−	1.36575i	−0.669271	−	0.743019i	$-0.733393\pi$
$997$	3.57334	−	43.1238i	0.113169	−	1.36575i	0.782440	−	0.622726i	$-0.213975\pi$
$998$	1.33810	−	1.45356i	0.0423568	−	0.0460118i
$999$	−12.4538	−	9.69316i	−0.394020	−	0.306678i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	722.2.g.a.39.15	✓	288
361.324	even	19	inner	722.2.g.a.685.15	yes	288

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
722.2.g.a.39.15	✓	288	1.1	even	1	trivial
722.2.g.a.685.15	yes	288	361.324	even	19	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:	\( N \)	\(=\)	\( 722 = 2 \cdot 19^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	722.g (of order \(19\), degree \(18\), minimal)

\(f(q)\)	\(=\)	\(q+(0.401695 + 0.915773i) q^{2} +(2.24445 + 1.74693i) q^{3} +(-0.677282 + 0.735724i) q^{4} +(-0.330232 - 3.98530i) q^{5} +(-0.698204 + 2.75714i) q^{6} +(2.23039 + 2.42284i) q^{7} +(-0.945817 - 0.324699i) q^{8} +(1.24936 + 4.93360i) q^{9} +(3.51698 - 1.90329i) q^{10} +(0.266003 - 1.05042i) q^{11} +(-2.80538 + 0.468136i) q^{12} +(0.961687 + 0.748511i) q^{13} +(-1.32284 + 3.01577i) q^{14} +(6.22085 - 9.52172i) q^{15} +(-0.0825793 - 0.996584i) q^{16} +(2.57580 + 2.79807i) q^{17} +(-4.01620 + 3.12593i) q^{18} +(2.49326 - 3.57542i) q^{19} +(3.15574 + 2.45621i) q^{20} +(0.773461 + 9.33429i) q^{21} +(1.06880 - 0.178352i) q^{22} +(-2.73917 + 2.13198i) q^{23} +(-1.55562 - 2.38105i) q^{24} +(-10.8418 + 1.80917i) q^{25} +(-0.299161 + 1.18136i) q^{26} +(-2.38705 + 5.44192i) q^{27} -3.29314 q^{28} +(0.0715336 + 0.0777062i) q^{29} +(11.2186 + 1.87206i) q^{30} +(-3.16786 + 7.22199i) q^{31} +(0.879474 - 0.475947i) q^{32} +(2.43205 - 1.89294i) q^{33} +(-1.52771 + 3.48282i) q^{34} +(8.91922 - 9.68886i) q^{35} +(-4.47593 - 2.42225i) q^{36} +(-0.651941 + 2.57446i) q^{37} +(4.27581 + 0.847033i) q^{38} +(0.850867 + 3.36000i) q^{39} +(-0.981687 + 3.87659i) q^{40} +(5.85950 - 8.96864i) q^{41} +(-8.23739 + 4.45785i) q^{42} +(-8.63424 - 4.67262i) q^{43} +(0.592663 + 0.907138i) q^{44} +(19.2493 - 6.60830i) q^{45} +(-3.05272 - 1.65205i) q^{46} +(1.08271 - 4.27551i) q^{47} +(1.55562 - 2.38105i) q^{48} +(-0.317500 + 3.83166i) q^{49} +(-6.01188 - 9.20187i) q^{50} +(0.893246 + 10.7799i) q^{51} +(-1.20203 + 0.200583i) q^{52} +(-1.48274 + 5.85519i) q^{53} -5.94243 q^{54} +(-4.27410 - 0.713221i) q^{55} +(-1.32284 - 3.01577i) q^{56} +(11.8420 - 3.66932i) q^{57} +(-0.0424265 + 0.0967228i) q^{58} +(1.85935 - 2.84595i) q^{59} +(2.79209 + 11.0257i) q^{60} +(3.98566 - 1.36828i) q^{61} -7.88622 q^{62} +(-9.16680 + 14.0308i) q^{63} +(0.789141 + 0.614213i) q^{64} +(2.66546 - 4.07980i) q^{65} +(2.71044 + 1.46682i) q^{66} +(-8.62674 - 2.96156i) q^{67} -3.80315 q^{68} -9.87236 q^{69} +(12.4556 + 4.27602i) q^{70} +(-13.6716 - 4.69346i) q^{71} +(0.420274 - 5.07195i) q^{72} +(4.88584 + 5.30743i) q^{73} +(-2.61950 + 0.437118i) q^{74} +(-27.4944 - 14.8792i) q^{75} +(0.941882 + 4.25592i) q^{76} +(3.13830 - 1.69836i) q^{77} +(-2.73521 + 2.12890i) q^{78} +(-12.0256 - 6.50793i) q^{79} +(-3.94442 + 0.658207i) q^{80} +(-1.43645 + 0.777367i) q^{81} +(10.5670 + 1.76332i) q^{82} +(0.903344 - 10.9017i) q^{83} +(-7.39131 - 5.75289i) q^{84} +(10.3005 - 11.1894i) q^{85} +(0.810723 - 9.78397i) q^{86} +(0.0248067 + 0.299372i) q^{87} +(-0.592663 + 0.907138i) q^{88} +(-3.27979 + 3.56281i) q^{89} +(13.7841 + 14.9735i) q^{90} +(0.331407 + 3.99949i) q^{91} +(0.286640 - 3.45923i) q^{92} +(-19.7264 + 10.6754i) q^{93} +(4.35032 - 0.725940i) q^{94} +(-15.0725 - 8.75569i) q^{95} +(2.80538 + 0.468136i) q^{96} +(-6.92494 + 2.37733i) q^{97} +(-3.63647 + 1.24840i) q^{98} +5.51470 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 288 q + 16 q^{2} - q^{3} - 16 q^{4} + q^{5} + q^{6} + 2 q^{7} + 16 q^{8} - 13 q^{9} - q^{10} - 31 q^{11} - q^{12} - 5 q^{13} + 17 q^{14} - 38 q^{15} - 16 q^{16} + 36 q^{17} + 13 q^{18} - q^{19} + q^{20}+ \cdots - 102 q^{99}+O(q^{100}) \) 288 * q + 16 * q^2 - q^3 - 16 * q^4 + q^5 + q^6 + 2 * q^7 + 16 * q^8 - 13 * q^9 - q^10 - 31 * q^11 - q^12 - 5 * q^13 + 17 * q^14 - 38 * q^15 - 16 * q^16 + 36 * q^17 + 13 * q^18 - q^19 + q^20 - 78 * q^21 + 12 * q^22 - 21 * q^23 + q^24 - 9 * q^25 + 5 * q^26 - 55 * q^27 - 36 * q^28 + 27 * q^29 + 57 * q^30 + 4 * q^31 + 16 * q^32 + 42 * q^33 + 2 * q^34 + 2 * q^35 - 13 * q^36 - 5 * q^37 - 18 * q^38 - 40 * q^39 - q^40 - 2 * q^41 + 2 * q^42 + 111 * q^43 + 7 * q^44 + 100 * q^45 + 21 * q^46 - 15 * q^47 - q^48 + 34 * q^49 + 47 * q^50 - 6 * q^51 - 5 * q^52 - 75 * q^53 - 78 * q^54 + 6 * q^55 + 17 * q^56 - q^57 + 11 * q^58 - 13 * q^59 - 63 * q^61 - 4 * q^62 + 101 * q^63 - 16 * q^64 + 72 * q^65 - 4 * q^66 - 7 * q^67 - 40 * q^68 + 220 * q^69 + 17 * q^70 - 129 * q^71 + 13 * q^72 + 14 * q^73 + 100 * q^74 - 189 * q^75 + 18 * q^76 - 23 * q^77 + 2 * q^78 + 8 * q^79 + q^80 - 164 * q^81 + 40 * q^82 - 141 * q^83 - 2 * q^84 + 6 * q^85 + 22 * q^86 + 93 * q^87 - 7 * q^88 + 25 * q^89 - 81 * q^90 + 19 * q^91 - 2 * q^92 - 199 * q^93 + 15 * q^94 - 57 * q^95 + q^96 - 11 * q^97 - 72 * q^98 - 102 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more