LMFDB - Embedded newform 280.2.bl.b.221.14

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [280,2,Mod(221,280)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(280, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([0, 3, 0, 4]))

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

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

chi := DirichletCharacter("280.221");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 280 = 2^{3} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	280.bl (of order $6$, degree $2$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

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

Self dual:	no
Analytic conductor:	$2.23581125660$
Analytic rank:	$0$
Dimension:	$60$
Relative dimension:	$30$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			221.14
Character	$\chi$	$=$	280.221
Dual form			280.2.bl.b.261.14

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.208671 - 1.39873i) q^{2} +(2.81779 + 1.62685i) q^{3} +(-1.91291 + 0.583749i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(1.68754 - 4.28082i) q^{6} +(-0.452341 + 2.60680i) q^{7} +(1.21568 + 2.55385i) q^{8} +(3.79330 + 6.57019i) q^{9} +O(q^{10})$	\(q+(-0.208671 - 1.39873i) q^{2} +(2.81779 + 1.62685i) q^{3} +(-1.91291 + 0.583749i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(1.68754 - 4.28082i) q^{6} +(-0.452341 + 2.60680i) q^{7} +(1.21568 + 2.55385i) q^{8} +(3.79330 + 6.57019i) q^{9} +(0.880081 + 1.10700i) q^{10} +(0.149693 + 0.0864255i) q^{11} +(-6.33986 - 1.46714i) q^{12} -3.28313i q^{13} +(3.74060 + 0.0887432i) q^{14} -3.25371 q^{15} +(3.31847 - 2.23332i) q^{16} +(2.93901 - 5.09051i) q^{17} +(8.39839 - 6.67682i) q^{18} +(-2.98439 + 1.72304i) q^{19} +(1.36476 - 1.46200i) q^{20} +(-5.51548 + 6.60952i) q^{21} +(0.0896497 - 0.227416i) q^{22} +(0.433128 + 0.750199i) q^{23} +(-0.729200 + 9.17393i) q^{24} +(0.500000 - 0.866025i) q^{25} +(-4.59222 + 0.685093i) q^{26} +14.9234i q^{27} +(-0.656426 - 5.25063i) q^{28} -6.11963i q^{29} +(0.678953 + 4.55107i) q^{30} +(1.99447 - 3.45452i) q^{31} +(-3.81629 - 4.17563i) q^{32} +(0.281203 + 0.487058i) q^{33} +(-7.73355 - 3.04865i) q^{34} +(-0.911659 - 2.48372i) q^{35} +(-11.0916 - 10.3539i) q^{36} +(-4.39350 + 2.53659i) q^{37} +(3.03282 + 3.81482i) q^{38} +(5.34117 - 9.25117i) q^{39} +(-2.32973 - 1.60386i) q^{40} +6.12291 q^{41} +(10.3959 + 6.33547i) q^{42} -9.95400i q^{43} +(-0.336801 - 0.0779410i) q^{44} +(-6.57019 - 3.79330i) q^{45} +(0.958948 - 0.762375i) q^{46} +(3.32725 + 5.76297i) q^{47} +(12.9841 - 0.894374i) q^{48} +(-6.59077 - 2.35832i) q^{49} +(-1.31567 - 0.518653i) q^{50} +(16.5630 - 9.56266i) q^{51} +(1.91652 + 6.28034i) q^{52} +(-2.93454 - 1.69426i) q^{53} +(20.8739 - 3.11408i) q^{54} -0.172851 q^{55} +(-7.20726 + 2.01382i) q^{56} -11.2125 q^{57} +(-8.55973 + 1.27699i) q^{58} +(-0.243731 - 0.140718i) q^{59} +(6.22406 - 1.89935i) q^{60} +(-4.16750 + 2.40611i) q^{61} +(-5.24815 - 2.06887i) q^{62} +(-18.8430 + 6.91639i) q^{63} +(-5.04425 + 6.20931i) q^{64} +(1.64156 + 2.84327i) q^{65} +(0.622586 - 0.494963i) q^{66} +(-5.41241 - 3.12485i) q^{67} +(-2.65048 + 11.4533i) q^{68} +2.81854i q^{69} +(-3.28383 + 1.79345i) q^{70} +16.0430 q^{71} +(-12.1678 + 17.6747i) q^{72} +(-5.70699 + 9.88479i) q^{73} +(4.46481 + 5.61603i) q^{74} +(2.81779 - 1.62685i) q^{75} +(4.70305 - 5.03816i) q^{76} +(-0.293006 + 0.351126i) q^{77} +(-14.0545 - 5.54042i) q^{78} +(-1.28484 - 2.22540i) q^{79} +(-1.75722 + 3.59335i) q^{80} +(-12.8983 + 22.3406i) q^{81} +(-1.27767 - 8.56432i) q^{82} +9.76563i q^{83} +(6.69233 - 15.8631i) q^{84} +5.87801i q^{85} +(-13.9230 + 2.07711i) q^{86} +(9.95573 - 17.2438i) q^{87} +(-0.0387383 + 0.487359i) q^{88} +(-5.31672 - 9.20883i) q^{89} +(-3.93481 + 9.98150i) q^{90} +(8.55845 + 1.48509i) q^{91} +(-1.26646 - 1.18223i) q^{92} +(11.2400 - 6.48942i) q^{93} +(7.36656 - 5.85650i) q^{94} +(1.72304 - 2.98439i) q^{95} +(-3.96038 - 17.9746i) q^{96} -2.80976 q^{97} +(-1.92337 + 9.71085i) q^{98} +1.31135i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 60 q + 4 q^{2} - 2 q^{4} + 8 q^{7} + 4 q^{8} + 38 q^{9}+O(q^{10}) $ 60 * q + 4 * q^2 - 2 * q^4 + 8 * q^7 + 4 * q^8 + 38 * q^9	$ 60 q + 4 q^{2} - 2 q^{4} + 8 q^{7} + 4 q^{8} + 38 q^{9} + 2 q^{10} - 10 q^{12} + 20 q^{14} - 22 q^{16} - 12 q^{17} + 6 q^{18} - 16 q^{20} - 28 q^{22} - 2 q^{23} - 32 q^{24} + 30 q^{25} - 4 q^{26} - 22 q^{28} - 6 q^{32} - 16 q^{34} + 20 q^{36} - 42 q^{38} + 4 q^{40} - 36 q^{41} - 62 q^{42} + 14 q^{44} + 28 q^{46} - 30 q^{47} + 124 q^{48} + 12 q^{49} + 8 q^{50} + 8 q^{52} - 40 q^{54} - 44 q^{55} + 8 q^{56} - 32 q^{57} - 14 q^{58} + 14 q^{60} - 16 q^{62} - 74 q^{63} + 4 q^{64} + 2 q^{65} + 60 q^{66} + 28 q^{68} + 10 q^{70} - 8 q^{71} - 72 q^{72} - 52 q^{74} - 12 q^{76} - 40 q^{78} + 32 q^{79} - 22 q^{81} - 16 q^{82} - 8 q^{84} - 44 q^{86} + 48 q^{87} - 16 q^{88} + 4 q^{89} - 48 q^{90} + 84 q^{92} - 56 q^{94} + 2 q^{95} - 16 q^{96} - 96 q^{97} - 80 q^{98}+O(q^{100}) $ 60 * q + 4 * q^2 - 2 * q^4 + 8 * q^7 + 4 * q^8 + 38 * q^9 + 2 * q^10 - 10 * q^12 + 20 * q^14 - 22 * q^16 - 12 * q^17 + 6 * q^18 - 16 * q^20 - 28 * q^22 - 2 * q^23 - 32 * q^24 + 30 * q^25 - 4 * q^26 - 22 * q^28 - 6 * q^32 - 16 * q^34 + 20 * q^36 - 42 * q^38 + 4 * q^40 - 36 * q^41 - 62 * q^42 + 14 * q^44 + 28 * q^46 - 30 * q^47 + 124 * q^48 + 12 * q^49 + 8 * q^50 + 8 * q^52 - 40 * q^54 - 44 * q^55 + 8 * q^56 - 32 * q^57 - 14 * q^58 + 14 * q^60 - 16 * q^62 - 74 * q^63 + 4 * q^64 + 2 * q^65 + 60 * q^66 + 28 * q^68 + 10 * q^70 - 8 * q^71 - 72 * q^72 - 52 * q^74 - 12 * q^76 - 40 * q^78 + 32 * q^79 - 22 * q^81 - 16 * q^82 - 8 * q^84 - 44 * q^86 + 48 * q^87 - 16 * q^88 + 4 * q^89 - 48 * q^90 + 84 * q^92 - 56 * q^94 + 2 * q^95 - 16 * q^96 - 96 * q^97 - 80 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/280\mathbb{Z}\right)^\times$.

$n$	$57$	$71$	$141$	$241$
$\chi(n)$	$1$	$1$	$-1$	$e\left(\frac{2}{3}\right)$

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 $

$2$	−0.208671	−	1.39873i	−0.147552	−	0.989054i
$2$	−0.208671	−	1.39873i	−0.147552	−	0.989054i
$3$	2.81779	+	1.62685i	1.62685	+	0.939264i	0.985024	+	0.172416i	$0.0551572\pi$
$3$	2.81779	+	1.62685i	1.62685	+	0.939264i	0.641828	+	0.766848i	$0.278176\pi$
$4$	−1.91291	+	0.583749i	−0.956457	+	0.291875i
$5$	−0.866025	+	0.500000i	−0.387298	+	0.223607i
$5$	−0.866025	+	0.500000i	−0.387298	+	0.223607i
$6$	1.68754	−	4.28082i	0.688937	−	1.74764i
$7$	−0.452341	+	2.60680i	−0.170969	+	0.985276i
$7$	−0.452341	+	2.60680i	−0.170969	+	0.985276i
$8$	1.21568	+	2.55385i	0.429807	+	0.902921i
$9$	3.79330	+	6.57019i	1.26443	+	2.19006i
$10$	0.880081	+	1.10700i	0.278306	+	0.350065i
$11$	0.149693	+	0.0864255i	0.0451342	+	0.0260583i	0.522397	−	0.852702i	$-0.325038\pi$
$11$	0.149693	+	0.0864255i	0.0451342	+	0.0260583i	−0.477263	+	0.878760i	$0.658371\pi$
$12$	−6.33986	−	1.46714i	−1.83016	−	0.423528i
$13$		−	3.28313i		−	0.910576i	−0.890344	−	0.455288i	$-0.849536\pi$
$13$		−	3.28313i		−	0.910576i	0.890344	−	0.455288i	$-0.150464\pi$
$14$	3.74060	+	0.0887432i	0.999719	+	0.0237176i
$15$	−3.25371			−0.840103
$16$	3.31847	−	2.23332i	0.829618	−	0.558331i
$17$	2.93901	−	5.09051i	0.712814	−	1.23463i	−0.250983	−	0.967992i	$-0.580754\pi$
$17$	2.93901	−	5.09051i	0.712814	−	1.23463i	0.963797	−	0.266638i	$-0.0859129\pi$
$18$	8.39839	−	6.67682i	1.97952	−	1.57374i
$19$	−2.98439	+	1.72304i	−0.684666	+	0.395292i	−0.801611	−	0.597847i	$-0.796023\pi$
$19$	−2.98439	+	1.72304i	−0.684666	+	0.395292i	0.116945	+	0.993138i	$0.462690\pi$
$20$	1.36476	−	1.46200i	0.305169	−	0.326913i
$21$	−5.51548	+	6.60952i	−1.20358	+	1.44231i
$22$	0.0896497	−	0.227416i	0.0191134	−	0.0484852i
$23$	0.433128	+	0.750199i	0.0903134	+	0.156427i	0.907643	−	0.419743i	$-0.137880\pi$
$23$	0.433128	+	0.750199i	0.0903134	+	0.156427i	−0.817330	+	0.576170i	$0.804546\pi$
$24$	−0.729200	+	9.17393i	−0.148847	+	1.87262i
$25$	0.500000	−	0.866025i	0.100000	−	0.173205i
$26$	−4.59222	+	0.685093i	−0.900609	+	0.134358i
$27$			14.9234i			2.87202i
$28$	−0.656426	−	5.25063i	−0.124053	−	0.992276i
$29$		−	6.11963i		−	1.13639i	−0.822895	−	0.568193i	$-0.807643\pi$
$29$		−	6.11963i		−	1.13639i	0.822895	−	0.568193i	$-0.192357\pi$
$30$	0.678953	+	4.55107i	0.123959	+	0.830908i
$31$	1.99447	−	3.45452i	0.358217	−	0.620451i	−0.629446	−	0.777044i	$-0.716718\pi$
$31$	1.99447	−	3.45452i	0.358217	−	0.620451i	0.987663	+	0.156594i	$0.0500513\pi$
$32$	−3.81629	−	4.17563i	−0.674632	−	0.738154i
$33$	0.281203	+	0.487058i	0.0489512	+	0.0847859i
$34$	−7.73355	−	3.04865i	−1.32629	−	0.522839i
$35$	−0.911659	−	2.48372i	−0.154099	−	0.419826i
$36$	−11.0916	−	10.3539i	−1.84860	−	1.72564i
$37$	−4.39350	+	2.53659i	−0.722287	+	0.417013i	−0.815594	−	0.578625i	$-0.803590\pi$
$37$	−4.39350	+	2.53659i	−0.722287	+	0.417013i	0.0933068	+	0.995637i	$0.470256\pi$
$38$	3.03282	+	3.81482i	0.491989	+	0.618845i
$39$	5.34117	−	9.25117i	0.855271	−	1.48137i
$40$	−2.32973	−	1.60386i	−0.368363	−	0.253592i
$41$	6.12291			0.956238			0.478119	−	0.878295i	$-0.341319\pi$
$41$	6.12291			0.956238			0.478119	+	0.878295i	$0.341319\pi$
$42$	10.3959	+	6.33547i	1.60412	+	0.977585i
$43$		−	9.95400i		−	1.51797i	−0.651108	−	0.758985i	$-0.725695\pi$
$43$		−	9.95400i		−	1.51797i	0.651108	−	0.758985i	$-0.274305\pi$
$44$	−0.336801	−	0.0779410i	−0.0507747	−	0.0117501i
$45$	−6.57019	−	3.79330i	−0.979426	−	0.565472i
$46$	0.958948	−	0.762375i	0.141389	−	0.112406i
$47$	3.32725	+	5.76297i	0.485330	+	0.840615i	0.999858	−	0.0168579i	$-0.00536629\pi$
$47$	3.32725	+	5.76297i	0.485330	+	0.840615i	−0.514528	+	0.857473i	$0.672033\pi$
$48$	12.9841	−	0.894374i	1.87409	−	0.129092i
$49$	−6.59077	−	2.35832i	−0.941539	−	0.336903i
$50$	−1.31567	−	0.518653i	−0.186064	−	0.0733486i
$51$	16.5630	−	9.56266i	2.31929	−	1.33904i
$52$	1.91652	+	6.28034i	0.265774	+	0.870926i
$53$	−2.93454	−	1.69426i	−0.403090	−	0.232724i	0.284726	−	0.958609i	$-0.408097\pi$
$53$	−2.93454	−	1.69426i	−0.403090	−	0.232724i	−0.687816	+	0.725885i	$0.741431\pi$
$54$	20.8739	−	3.11408i	2.84058	−	0.423773i
$55$	−0.172851			−0.0233072
$56$	−7.20726	+	2.01382i	−0.963110	+	0.269108i
$57$	−11.2125			−1.48513
$58$	−8.55973	+	1.27699i	−1.12395	+	0.167677i
$59$	−0.243731	−	0.140718i	−0.0317310	−	0.0183199i	0.484051	−	0.875040i	$-0.339165\pi$
$59$	−0.243731	−	0.140718i	−0.0317310	−	0.0183199i	−0.515782	+	0.856720i	$0.672498\pi$
$60$	6.22406	−	1.89935i	0.803522	−	0.245205i
$61$	−4.16750	+	2.40611i	−0.533594	+	0.308070i	−0.742479	−	0.669870i	$-0.766350\pi$
$61$	−4.16750	+	2.40611i	−0.533594	+	0.308070i	0.208885	+	0.977940i	$0.433017\pi$
$62$	−5.24815	−	2.06887i	−0.666515	−	0.262747i
$63$	−18.8430	+	6.91639i	−2.37400	+	0.871384i
$64$	−5.04425	+	6.20931i	−0.630531	+	0.776164i
$65$	1.64156	+	2.84327i	0.203611	+	0.352665i
$66$	0.622586	−	0.494963i	0.0766350	−	0.0609257i
$67$	−5.41241	−	3.12485i	−0.661231	−	0.381762i	0.131515	−	0.991314i	$-0.458016\pi$
$67$	−5.41241	−	3.12485i	−0.661231	−	0.381762i	−0.792746	+	0.609553i	$0.791349\pi$
$68$	−2.65048	+	11.4533i	−0.321418	+	1.38892i
$69$			2.81854i			0.339312i
$70$	−3.28383	+	1.79345i	−0.392493	+	0.214358i
$71$	16.0430			1.90396			0.951979	−	0.306163i	$-0.0990454\pi$
$71$	16.0430			1.90396			0.951979	+	0.306163i	$0.0990454\pi$
$72$	−12.1678	+	17.6747i	−1.43399	+	2.08299i
$73$	−5.70699	+	9.88479i	−0.667952	+	1.15693i	0.310524	+	0.950566i	$0.399496\pi$
$73$	−5.70699	+	9.88479i	−0.667952	+	1.15693i	−0.978476	+	0.206362i	$0.933838\pi$
$74$	4.46481	+	5.61603i	0.519023	+	0.652850i
$75$	2.81779	−	1.62685i	0.325371	−	0.187853i
$76$	4.70305	−	5.03816i	0.539477	−	0.577916i
$77$	−0.293006	+	0.351126i	−0.0333911	+	0.0400145i
$78$	−14.0545	−	5.54042i	−1.59136	−	0.627329i
$79$	−1.28484	−	2.22540i	−0.144555	−	0.250377i	0.784652	−	0.619937i	$-0.212842\pi$
$79$	−1.28484	−	2.22540i	−0.144555	−	0.250377i	−0.929207	+	0.369560i	$0.879509\pi$
$80$	−1.75722	+	3.59335i	−0.196463	+	0.401749i
$81$	−12.8983	+	22.3406i	−1.43315	+	2.48229i
$82$	−1.27767	−	8.56432i	−0.141095	−	0.945771i
$83$			9.76563i			1.07192i	0.844244	+	0.535959i	$0.180050\pi$
$83$			9.76563i			1.07192i	−0.844244	+	0.535959i	$0.819950\pi$
$84$	6.69233	−	15.8631i	0.730193	−	1.73080i
$85$			5.87801i			0.637560i
$86$	−13.9230	+	2.07711i	−1.50135	+	0.223980i
$87$	9.95573	−	17.2438i	1.06737	−	1.84873i
$88$	−0.0387383	+	0.487359i	−0.00412951	+	0.0519527i
$89$	−5.31672	−	9.20883i	−0.563572	−	0.976135i	−0.997181	−	0.0750336i	$-0.976094\pi$
$89$	−5.31672	−	9.20883i	−0.563572	−	0.976135i	0.433609	−	0.901101i	$-0.357240\pi$
$90$	−3.93481	+	9.98150i	−0.414766	+	1.05214i
$91$	8.55845	+	1.48509i	0.897169	+	0.155680i
$92$	−1.26646	−	1.18223i	−0.132038	−	0.123256i
$93$	11.2400	−	6.48942i	1.16553	−	0.672921i
$94$	7.36656	−	5.85650i	0.759803	−	0.604052i
$95$	1.72304	−	2.98439i	0.176780	−	0.306192i
$96$	−3.96038	−	17.9746i	−0.404205	−	1.83453i
$97$	−2.80976			−0.285288			−0.142644	−	0.989774i	$-0.545560\pi$
$97$	−2.80976			−0.285288			−0.142644	+	0.989774i	$0.545560\pi$
$98$	−1.92337	+	9.71085i	−0.194289	+	0.980944i
$99$			1.31135i			0.131796i
$100$	−0.450915	+	1.94851i	−0.0450915	+	0.194851i
$101$	1.59138	+	0.918785i	0.158348	+	0.0914225i	0.577080	−	0.816687i	$-0.304192\pi$
$101$	1.59138	+	0.918785i	0.158348	+	0.0914225i	−0.418732	+	0.908110i	$0.637525\pi$
$102$	−16.8318	−	21.1718i	−1.66660	−	2.09632i
$103$	5.86778	+	10.1633i	0.578170	+	1.00142i	0.995689	+	0.0927516i	$0.0295663\pi$
$103$	5.86778	+	10.1633i	0.578170	+	1.00142i	−0.417519	+	0.908668i	$0.637100\pi$
$104$	8.38460	−	3.99123i	0.822178	−	0.391372i
$105$	1.47179	−	8.48175i	0.143632	−	0.827734i
$106$	−1.75746	+	4.45818i	−0.170700	+	0.433017i
$107$	−6.17076	+	3.56269i	−0.596550	+	0.344418i	−0.767683	−	0.640830i	$-0.778591\pi$
$107$	−6.17076	+	3.56269i	−0.596550	+	0.344418i	0.171133	+	0.985248i	$0.445257\pi$
$108$	−8.71155	−	28.5473i	−0.838269	−	2.74696i
$109$	−4.53338	−	2.61735i	−0.434219	−	0.250697i	0.266923	−	0.963718i	$-0.413993\pi$
$109$	−4.53338	−	2.61735i	−0.434219	−	0.250697i	−0.701143	+	0.713021i	$0.747326\pi$
$110$	0.0360689	+	0.241773i	0.00343904	+	0.0230521i
$111$	−16.5066			−1.56674
$112$	4.32074	+	9.66081i	0.408271	+	0.912861i
$113$	−4.30179			−0.404679			−0.202339	−	0.979315i	$-0.564854\pi$
$113$	−4.30179			−0.404679			−0.202339	+	0.979315i	$0.564854\pi$
$114$	2.33972	+	15.6833i	0.219135	+	1.46888i
$115$	−0.750199	−	0.433128i	−0.0699565	−	0.0403894i
$116$	3.57233	+	11.7063i	0.331682	+	1.08690i
$117$	21.5708	−	12.4539i	1.99422	−	1.15136i
$118$	−0.145968	+	0.370278i	−0.0134374	+	0.0340869i
$119$	11.9405	+	9.96404i	1.09458	+	0.913402i
$120$	−3.95546	−	8.30946i	−0.361083	−	0.758546i
$121$	−5.48506	−	9.50040i	−0.498642	−	0.863673i
$122$	4.23514	+	5.32714i	0.383431	+	0.482296i
$123$	17.2531	+	9.96107i	1.55566	+	0.898160i
$124$	−1.79867	+	7.77247i	−0.161525	+	0.697989i
$125$			1.00000i			0.0894427i
$126$	13.6062	+	24.9131i	1.21213	+	2.21944i
$127$	−5.99409			−0.531889			−0.265945	−	0.963988i	$-0.585684\pi$
$127$	−5.99409			−0.531889			−0.265945	+	0.963988i	$0.585684\pi$
$128$	9.73776	+	5.75986i	0.860705	+	0.509105i
$129$	16.1937	−	28.0483i	1.42577	−	2.46951i
$130$	3.63444	−	2.88942i	0.318761	−	0.253419i
$131$	3.01532	−	1.74090i	0.263450	−	0.152103i	−0.362457	−	0.932000i	$-0.618062\pi$
$131$	3.01532	−	1.74090i	0.263450	−	0.152103i	0.625907	+	0.779897i	$0.284729\pi$
$132$	−0.822237	−	0.767548i	−0.0715665	−	0.0668064i
$133$	−3.14165	−	8.55909i	−0.272415	−	0.742168i
$134$	−3.24143	+	8.22258i	−0.280017	+	0.710323i
$135$	−7.46172	−	12.9241i	−0.642203	−	1.11233i
$136$	16.5733	+	1.31734i	1.42115	+	0.112961i
$137$	−8.17714	+	14.1632i	−0.698620	+	1.21005i	0.270325	+	0.962769i	$0.412869\pi$
$137$	−8.17714	+	14.1632i	−0.698620	+	1.21005i	−0.968945	+	0.247277i	$0.920464\pi$
$138$	3.94239	−	0.588147i	0.335598	−	0.0500664i
$139$		−	15.4778i		−	1.31281i	−0.754408	−	0.656405i	$-0.772076\pi$
$139$		−	15.4778i		−	1.31281i	0.754408	−	0.656405i	$-0.227924\pi$
$140$	3.19380	+	4.21896i	0.269925	+	0.356568i
$141$			21.6518i			1.82341i
$142$	−3.34771	−	22.4399i	−0.280934	−	1.88312i
$143$	0.283746	−	0.491462i	0.0237280	−	0.0410982i
$144$	27.2613	+	13.3313i	2.27178	+	1.11094i
$145$	3.05981	+	5.29975i	0.254104	+	0.440120i
$146$	15.0171	+	5.91989i	1.24282	+	0.489934i
$147$	−14.7348	−	17.3675i	−1.21530	−	1.43245i
$148$	6.92365	−	7.41698i	0.569121	−	0.609672i
$149$	17.9430	−	10.3594i	1.46995	−	0.848674i	0.470515	−	0.882392i	$-0.344068\pi$
$149$	17.9430	−	10.3594i	1.46995	−	0.848674i	0.999431	+	0.0337182i	$0.0107349\pi$
$150$	−2.86352	−	3.60186i	−0.233806	−	0.294091i
$151$	1.78815	−	3.09716i	0.145517	−	0.252043i	−0.784049	−	0.620699i	$-0.786849\pi$
$151$	1.78815	−	3.09716i	0.145517	−	0.252043i	0.929566	+	0.368656i	$0.120182\pi$
$152$	−8.02843	−	5.52701i	−0.651192	−	0.448299i
$153$	44.5941			3.60522
$154$	0.552274	+	0.336568i	0.0445035	+	0.0271214i
$155$			3.98894i			0.320399i
$156$	−4.81682	+	20.8146i	−0.385654	+	1.66650i
$157$	3.00620	+	1.73563i	0.239921	+	0.138518i	0.615140	−	0.788418i	$-0.289099\pi$
$157$	3.00620	+	1.73563i	0.239921	+	0.138518i	−0.375220	+	0.926936i	$0.622433\pi$
$158$	−2.84464	+	2.26152i	−0.226307	+	0.179917i
$159$	−5.51261	−	9.54812i	−0.437179	−	0.757216i
$160$	5.39282	+	1.70806i	0.426340	+	0.135034i
$161$	−2.15154	+	0.789730i	−0.169565	+	0.0622394i
$162$	33.9401	+	13.3795i	2.66658	+	1.05120i
$163$	−4.61564	+	2.66484i	−0.361525	+	0.208726i	−0.669749	−	0.742587i	$-0.733598\pi$
$163$	−4.61564	+	2.66484i	−0.361525	+	0.208726i	0.308225	+	0.951314i	$0.400265\pi$
$164$	−11.7126	+	3.57424i	−0.914600	+	0.279102i
$165$	−0.487058	−	0.281203i	−0.0379174	−	0.0218916i
$166$	13.6595	−	2.03780i	1.06018	−	0.158164i
$167$	5.73219			0.443570			0.221785	−	0.975096i	$-0.428812\pi$
$167$	5.73219			0.443570			0.221785	+	0.975096i	$0.428812\pi$
$168$	−23.5847	−	6.05063i	−1.81960	−	0.466816i
$169$	2.22107			0.170851
$170$	8.22178	−	1.22657i	0.630581	−	0.0940735i
$171$	−22.6414	−	13.0720i	−1.73143	−	0.999640i
$172$	5.81064	+	19.0411i	0.443057	+	1.45187i
$173$	−12.8006	+	7.39043i	−0.973212	+	0.561884i	−0.900214	−	0.435448i	$-0.856590\pi$
$173$	−12.8006	+	7.39043i	−0.973212	+	0.561884i	−0.0729981	+	0.997332i	$0.523257\pi$
$174$	−26.1970	−	10.3271i	−1.98599	−	0.782898i
$175$	2.03138	+	1.69514i	0.153558	+	0.128140i
$176$	0.689769	−	0.0475130i	0.0519933	−	0.00358143i
$177$	−0.457855	−	0.793028i	−0.0344145	−	0.0596076i
$178$	−11.7713	+	9.35829i	−0.882294	+	0.701434i
$179$	4.24413	+	2.45035i	0.317221	+	0.183148i	0.650153	−	0.759803i	$-0.274705\pi$
$179$	4.24413	+	2.45035i	0.317221	+	0.183148i	−0.332932	+	0.942951i	$0.608038\pi$
$180$	14.7825	+	3.42091i	1.10183	+	0.254980i
$181$			1.43134i			0.106391i	0.998584	+	0.0531953i	$0.0169406\pi$
$181$			1.43134i			0.106391i	−0.998584	+	0.0531953i	$0.983059\pi$
$182$	0.291355	−	12.2809i	0.0215967	−	0.910320i
$183$	−15.6575			−1.15744
$184$	−1.38935	+	2.01814i	−0.102424	+	0.148779i
$185$	2.53659	−	4.39350i	0.186494	−	0.323017i
$186$	−11.4224	−	14.3676i	−0.837533	−	1.05348i
$187$	0.879899	−	0.508010i	0.0643446	−	0.0371494i
$188$	−9.72887	−	9.08178i	−0.709551	−	0.662357i
$189$	−38.9024	−	6.75049i	−2.82973	−	0.491026i
$190$	−4.53391	−	1.78732i	−0.328925	−	0.129666i
$191$	−2.00772	−	3.47748i	−0.145274	−	0.251621i	0.784201	−	0.620506i	$-0.213073\pi$
$191$	−2.00772	−	3.47748i	−0.145274	−	0.251621i	−0.929475	+	0.368885i	$0.879740\pi$
$192$	−24.3153	+	9.29029i	−1.75480	+	0.670469i
$193$	10.3939	−	18.0028i	0.748170	−	1.29587i	−0.200528	−	0.979688i	$-0.564266\pi$
$193$	10.3939	−	18.0028i	0.748170	−	1.29587i	0.948699	−	0.316181i	$-0.102401\pi$
$194$	0.586315	+	3.93011i	0.0420950	+	0.282165i
$195$			10.6823i			0.764978i
$196$	13.9842	+	0.663906i	0.998875	+	0.0474219i
$197$		−	2.61333i		−	0.186192i	−0.995657	−	0.0930960i	$-0.970324\pi$
$197$		−	2.61333i		−	0.186192i	0.995657	−	0.0930960i	$-0.0296763\pi$
$198$	1.83423	−	0.273640i	0.130353	−	0.0194468i
$199$	−8.31863	+	14.4083i	−0.589692	+	1.02138i	0.404581	+	0.914502i	$0.367417\pi$
$199$	−8.31863	+	14.4083i	−0.589692	+	1.02138i	−0.994273	+	0.106874i	$0.965916\pi$
$200$	2.81953	+	0.224114i	0.199371	+	0.0158472i
$201$	−10.1674	−	17.6104i	−0.717150	−	1.24214i
$202$	0.953061	−	2.41764i	0.0670571	−	0.170105i
$203$	15.9526	+	2.76816i	1.11965	+	0.194287i
$204$	−26.1014	+	27.9612i	−1.82746	+	1.95768i
$205$	−5.30259	+	3.06145i	−0.370349	+	0.213821i
$206$	12.9913	−	10.3283i	0.905148	−	0.719603i
$207$	−3.28597	+	5.69146i	−0.228391	+	0.395584i
$208$	−7.33229	−	10.8950i	−0.508403	−	0.755431i
$209$	−0.595657			−0.0412025
$210$	−12.1708	−	0.288744i	−0.839867	−	0.0199252i
$211$		−	9.23787i		−	0.635961i	−0.948097	−	0.317981i	$-0.896995\pi$
$211$		−	9.23787i		−	0.635961i	0.948097	−	0.317981i	$-0.103005\pi$
$212$	6.60254	+	1.52793i	0.453464	+	0.104939i
$213$	45.2059	+	26.0997i	3.09746	+	1.78832i
$214$	6.27091	+	7.88782i	0.428671	+	0.539201i
$215$	4.97700	+	8.62041i	0.339428	+	0.587907i
$216$	−38.1122	+	18.1421i	−2.59320	+	1.23441i
$217$	8.10306	+	6.76180i	0.550071	+	0.459021i
$218$	−2.71499	+	6.88716i	−0.183882	+	0.466457i
$219$	−32.1622	+	18.5689i	−2.17332	+	1.25477i
$220$	0.330649	−	0.100902i	0.0222923	−	0.00680279i
$221$	−16.7128	−	9.64914i	−1.12422	−	0.649071i
$222$	3.44445	+	23.0884i	0.231176	+	1.54959i
$223$	−13.5325			−0.906201			−0.453100	−	0.891460i	$-0.649682\pi$
$223$	−13.5325			−0.906201			−0.453100	+	0.891460i	$0.649682\pi$
$224$	12.6113	−	8.05949i	0.842627	−	0.538497i
$225$	7.58660			0.505773
$226$	0.897658	+	6.01706i	0.0597113	+	0.400249i
$227$	20.6531	+	11.9241i	1.37080	+	0.791429i	0.991028	−	0.133653i	$-0.0426707\pi$
$227$	20.6531	+	11.9241i	1.37080	+	0.791429i	0.379767	+	0.925082i	$0.376004\pi$
$228$	21.4486	−	6.54530i	1.42047	−	0.433473i
$229$	1.71879	−	0.992342i	0.113581	−	0.0655758i	−0.442133	−	0.896949i	$-0.645778\pi$
$229$	1.71879	−	0.992342i	0.113581	−	0.0655758i	0.555714	+	0.831373i	$0.312445\pi$
$230$	−0.449286	+	1.13971i	−0.0296250	+	0.0751503i
$231$	−1.39686	+	0.512723i	−0.0919067	+	0.0337347i
$232$	15.6286	−	7.43950i	1.02607	−	0.488427i
$233$	−4.61734	−	7.99747i	−0.302492	−	0.523932i	0.674208	−	0.738542i	$-0.264485\pi$
$233$	−4.61734	−	7.99747i	−0.302492	−	0.523932i	−0.976700	+	0.214610i	$0.931152\pi$
$234$	−21.9209	−	27.5730i	−1.43301	−	1.80250i
$235$	−5.76297	−	3.32725i	−0.375935	−	0.217046i
$236$	0.548380	+	0.126904i	0.0356965	+	0.00826072i
$237$		−	8.36096i		−	0.543103i
$238$	11.4454	−	18.7808i	0.741896	−	1.21738i
$239$	−14.3925			−0.930971			−0.465486	−	0.885055i	$-0.654120\pi$
$239$	−14.3925			−0.930971			−0.465486	+	0.885055i	$0.654120\pi$
$240$	−10.7973	+	7.26658i	−0.696965	+	0.469056i
$241$	−15.0321	+	26.0363i	−0.968300	+	1.67715i	−0.267827	+	0.963467i	$0.586306\pi$
$241$	−15.0321	+	26.0363i	−0.968300	+	1.67715i	−0.700473	+	0.713679i	$0.747028\pi$
$242$	−12.1440	+	9.65460i	−0.780644	+	0.620621i
$243$	−33.9175	+	19.5823i	−2.17581	+	1.25620i
$244$	6.56750	−	7.03545i	0.420441	−	0.450398i
$245$	6.88694	−	1.25302i	0.439990	−	0.0800525i
$246$	10.3327	−	26.2111i	0.658787	−	1.67116i
$247$	5.65695	+	9.79813i	0.359943	+	0.623440i
$248$	11.2470	+	0.893976i	0.714182	+	0.0567675i
$249$	−15.8872	+	27.5175i	−1.00681	+	1.74385i
$250$	1.39873	−	0.208671i	0.0884637	−	0.0131975i
$251$			9.67466i			0.610659i	0.952247	+	0.305329i	$0.0987666\pi$
$251$			9.67466i			0.610659i	−0.952247	+	0.305329i	$0.901233\pi$
$252$	32.0076	−	24.2301i	2.01629	−	1.52635i
$253$			0.149733i			0.00941364i
$254$	1.25079	+	8.38413i	0.0784815	+	0.526067i
$255$	−9.56266	+	16.5630i	−0.598837	+	1.03722i
$256$	6.02453	−	14.8225i	0.376533	−	0.926403i
$257$	−9.03144	−	15.6429i	−0.563366	−	0.975778i	−0.997200	−	0.0747851i	$-0.976173\pi$
$257$	−9.03144	−	15.6429i	−0.563366	−	0.975778i	0.433834	−	0.900993i	$-0.357160\pi$
$258$	−42.6112	−	16.7978i	−2.65286	−	1.04579i
$259$	−4.62501	−	12.6004i	−0.287384	−	0.782949i
$260$	−4.79993	−	4.48067i	−0.297679	−	0.277879i
$261$	40.2071	−	23.2136i	2.48876	−	1.43688i
$262$	−3.06426	−	3.85436i	−0.189311	−	0.238123i
$263$	1.48005	−	2.56352i	0.0912639	−	0.158074i	−0.816779	−	0.576950i	$-0.804243\pi$
$263$	1.48005	−	2.56352i	0.0912639	−	0.158074i	0.908043	+	0.418877i	$0.137576\pi$
$264$	−0.902018	+	1.31026i	−0.0555154	+	0.0806406i
$265$	3.38851			0.208155
$266$	−11.3163	+	6.18036i	−0.693848	+	0.378942i
$267$		−	34.5981i		−	2.11737i
$268$	12.1776	+	2.81809i	0.743865	+	0.172142i
$269$	14.7408	+	8.51059i	0.898761	+	0.518900i	0.876798	−	0.480859i	$-0.159675\pi$
$269$	14.7408	+	8.51059i	0.898761	+	0.518900i	0.0219627	+	0.999759i	$0.493008\pi$
$270$	−16.5203	+	13.1338i	−1.00539	+	0.799300i
$271$	13.2374	+	22.9278i	0.804113	+	1.39276i	0.916888	+	0.399144i	$0.130693\pi$
$271$	13.2374	+	22.9278i	0.804113	+	1.39276i	−0.112775	+	0.993621i	$0.535974\pi$
$272$	−1.61574	−	23.4565i	−0.0979686	−	1.42226i
$273$	21.6999	+	18.1080i	1.31334	+	1.09595i
$274$	21.5169	+	8.48220i	1.29988	+	0.512428i
$275$	0.149693	−	0.0864255i	0.00902685	−	0.00521165i
$276$	−1.64532	−	5.39162i	−0.0990367	−	0.324538i
$277$	−3.61804	−	2.08888i	−0.217387	−	0.125508i	0.387353	−	0.921932i	$-0.373390\pi$
$277$	−3.61804	−	2.08888i	−0.217387	−	0.125508i	−0.604740	+	0.796423i	$0.706723\pi$
$278$	−21.6493	+	3.22976i	−1.29844	+	0.193708i
$279$	30.2625			1.81177
$280$	5.23476	−	5.34765i	0.312837	−	0.319583i
$281$	11.6271			0.693617			0.346809	−	0.937936i	$-0.387265\pi$
$281$	11.6271			0.693617			0.346809	+	0.937936i	$0.387265\pi$
$282$	30.2851	−	4.51809i	1.80345	−	0.269049i
$283$	1.43828	+	0.830391i	0.0854969	+	0.0493616i	0.542139	−	0.840289i	$-0.317615\pi$
$283$	1.43828	+	0.830391i	0.0854969	+	0.0493616i	−0.456642	+	0.889651i	$0.650948\pi$
$284$	−30.6889	+	9.36511i	−1.82105	+	0.555717i
$285$	9.71032	−	5.60626i	0.575190	−	0.332086i
$286$	−0.746635	−	0.294331i	−0.0441494	−	0.0174042i
$287$	−2.76964	+	15.9612i	−0.163487	+	0.942158i
$288$	12.9583	−	40.9132i	0.763578	−	2.41083i
$289$	−8.77552	−	15.1996i	−0.516207	−	0.894097i
$290$	6.77445	−	5.38577i	0.397809	−	0.316263i
$291$	−7.91733	−	4.57107i	−0.464122	−	0.267961i
$292$	5.14673	−	22.2402i	0.301190	−	1.30151i
$293$		−	7.54068i		−	0.440531i	−0.975440	−	0.220266i	$-0.929308\pi$
$293$		−	7.54068i		−	0.440531i	0.975440	−	0.220266i	$-0.0706924\pi$
$294$	−21.2178	+	24.2341i	−1.23745	+	1.41336i
$295$	0.281436			0.0163858
$296$	−11.8191	−	8.13664i	−0.686974	−	0.472933i
$297$	−1.28977	+	2.23394i	−0.0748398	+	0.129626i
$298$	−18.2342	−	22.9358i	−1.05628	−	1.32863i
$299$	2.46300	−	1.42201i	0.142439	−	0.0822372i
$300$	−4.44052	+	4.75691i	−0.256373	+	0.274640i
$301$	25.9480	+	4.50260i	1.49562	+	0.259526i
$302$	−4.70523	−	1.85485i	−0.270756	−	0.106735i
$303$	2.98946	+	5.17789i	0.171740	+	0.297462i
$304$	−6.05551	+	12.3830i	−0.347307	+	0.710211i
$305$	2.40611	−	4.16750i	0.137773	−	0.238630i
$306$	−9.30549	−	62.3753i	−0.531959	−	3.56576i
$307$			23.8906i			1.36351i	0.731580	+	0.681755i	$0.238783\pi$
$307$			23.8906i			1.36351i	−0.731580	+	0.681755i	$0.761217\pi$
$308$	0.355526	−	0.842716i	0.0202579	−	0.0480182i
$309$			38.1841i			2.17222i
$310$	5.57946	−	0.832375i	0.316892	−	0.0472757i
$311$	4.64096	−	8.03838i	0.263165	−	0.455814i	−0.703917	−	0.710283i	$-0.748567\pi$
$311$	4.64096	−	8.03838i	0.263165	−	0.455814i	0.967081	+	0.254468i	$0.0819004\pi$
$312$	30.1192	+	2.39406i	1.70516	+	0.135537i
$313$	−5.40238	−	9.35719i	−0.305360	−	0.528900i	0.671981	−	0.740568i	$-0.265444\pi$
$313$	−5.40238	−	9.35719i	−0.305360	−	0.528900i	−0.977341	+	0.211669i	$0.932110\pi$
$314$	1.80038	−	4.56704i	0.101601	−	0.257733i
$315$	12.8603	−	15.4113i	0.724597	−	0.868327i
$316$	3.75686	+	3.50698i	0.211340	+	0.197283i
$317$	−29.0388	+	16.7655i	−1.63098	+	0.941646i	−0.647187	+	0.762331i	$0.724055\pi$
$317$	−29.0388	+	16.7655i	−1.63098	+	0.941646i	−0.983792	+	0.179315i	$0.942612\pi$
$318$	−12.2050	+	9.70309i	−0.684420	+	0.544122i
$319$	0.528892	−	0.916067i	0.0296122	−	0.0512899i
$320$	1.26379	−	7.89955i	0.0706482	−	0.441598i
$321$	−23.1839			−1.29400
$322$	1.55359	+	2.84464i	0.0865779	+	0.158525i
$323$			20.2561i			1.12708i
$324$	11.6321	−	50.2650i	0.646228	−	2.79250i
$325$	−2.84327	−	1.64156i	−0.157716	−	0.0910576i
$326$	4.69055	+	5.89997i	0.259785	+	0.326769i
$327$	−8.51609	−	14.7503i	−0.470941	−	0.815693i
$328$	7.44349	+	15.6370i	0.410998	+	0.863407i
$329$	−16.5279	+	6.06664i	−0.911215	+	0.334465i
$330$	−0.291694	+	0.739943i	−0.0160572	+	0.0407325i
$331$	−17.6082	+	10.1661i	−0.967833	+	0.558778i	−0.898575	−	0.438820i	$-0.855396\pi$
$331$	−17.6082	+	10.1661i	−0.967833	+	0.558778i	−0.0692578	+	0.997599i	$0.522063\pi$
$332$	−5.70068	−	18.6808i	−0.312866	−	1.02524i
$333$	−33.3317	−	19.2441i	−1.82657	−	1.05457i
$334$	−1.19614	−	8.01781i	−0.0654499	−	0.438715i
$335$	6.24971			0.341458
$336$	−3.54177	+	34.2514i	−0.193220	+	1.86856i
$337$	14.4678			0.788109			0.394055	−	0.919087i	$-0.371072\pi$
$337$	14.4678			0.788109			0.394055	+	0.919087i	$0.371072\pi$
$338$	−0.463471	−	3.10668i	−0.0252095	−	0.168981i
$339$	−12.1216	−	6.99838i	−0.658352	−	0.380100i
$340$	−3.43129	−	11.2441i	−0.186088	−	0.609799i
$341$	0.597118	−	0.344746i	0.0323357	−	0.0186690i
$342$	−13.5597	+	34.3970i	−0.733222	+	1.85998i
$343$	9.12895	−	16.1140i	0.492917	−	0.870076i
$344$	25.4210	−	12.1009i	1.37061	−	0.652435i
$345$	−1.40927	−	2.44093i	−0.0758726	−	0.131415i
$346$	13.0084	+	16.3625i	0.699334	+	0.879652i
$347$	−8.40161	−	4.85067i	−0.451022	−	0.260398i	0.257240	−	0.966348i	$-0.417187\pi$
$347$	−8.40161	−	4.85067i	−0.451022	−	0.260398i	−0.708262	+	0.705950i	$0.750520\pi$
$348$	−8.97837	+	38.7976i	−0.481291	+	2.07977i
$349$			27.7274i			1.48421i	0.670281	+	0.742107i	$0.266173\pi$
$349$			27.7274i			1.48421i	−0.670281	+	0.742107i	$0.733827\pi$
$350$	1.94716	−	3.19509i	0.104080	−	0.170785i
$351$	48.9956			2.61519
$352$	−0.210393	−	0.954889i	−0.0112140	−	0.0508958i
$353$	−6.59055	+	11.4152i	−0.350780	+	0.607568i	−0.986386	−	0.164445i	$-0.947417\pi$
$353$	−6.59055	+	11.4152i	−0.350780	+	0.607568i	0.635607	+	0.772013i	$0.280750\pi$
$354$	−1.01369	+	0.805899i	−0.0538772	+	0.0428330i
$355$	−13.8937	+	8.02152i	−0.737400	+	0.425738i
$356$	15.5461	+	14.5121i	0.823941	+	0.769138i
$357$	17.4358	+	47.5020i	0.922799	+	2.51407i
$358$	2.54176	−	6.44773i	0.134336	−	0.340773i
$359$	−18.0457	−	31.2560i	−0.952414	−	1.64963i	−0.740179	−	0.672410i	$-0.765259\pi$
$359$	−18.0457	−	31.2560i	−0.952414	−	1.64963i	−0.212235	−	0.977219i	$-0.568074\pi$
$360$	1.70026	−	21.3907i	0.0896116	−	1.12739i
$361$	−3.56228	+	6.17006i	−0.187489	+	0.324740i
$362$	2.00206	−	0.298678i	0.105226	−	0.0156982i
$363$		−	35.6935i		−	1.87343i
$364$	−17.2385	+	2.15513i	−0.903542	+	0.112960i
$365$		−	11.4140i		−	0.597435i
$366$	3.26727	+	21.9007i	0.170783	+	1.14477i
$367$	−2.81720	+	4.87953i	−0.147057	+	0.254710i	−0.930138	−	0.367209i	$-0.880313\pi$
$367$	−2.81720	+	4.87953i	−0.147057	+	0.254710i	0.783082	+	0.621919i	$0.213647\pi$
$368$	3.11276	+	1.52220i	0.162264	+	0.0793503i
$369$	23.2260	+	40.2287i	1.20910	+	2.09422i
$370$	−6.67465	−	2.63122i	−0.346999	−	0.136791i
$371$	5.74399	−	6.88336i	0.298213	−	0.357366i
$372$	−17.7130	+	18.9750i	−0.918374	+	0.983810i
$373$	−22.3297	+	12.8921i	−1.15619	+	0.667525i	−0.950387	−	0.311069i	$-0.899313\pi$
$373$	−22.3297	+	12.8921i	−1.15619	+	0.667525i	−0.205800	+	0.978594i	$0.565980\pi$
$374$	−0.894180	−	1.12474i	−0.0462370	−	0.0581588i
$375$	−1.62685	+	2.81779i	−0.0840103	+	0.145510i
$376$	−10.6729	+	15.5032i	−0.550411	+	0.799517i
$377$	−20.0915			−1.03477
$378$	−1.32435	+	55.8227i	−0.0681174	+	2.87121i
$379$		−	3.66530i		−	0.188274i	−0.995559	−	0.0941369i	$-0.969991\pi$
$379$		−	3.66530i		−	0.188274i	0.995559	−	0.0941369i	$-0.0300091\pi$
$380$	−1.55389	+	6.71470i	−0.0797127	+	0.344457i
$381$	−16.8901	−	9.75150i	−0.865305	−	0.499584i
$382$	−4.44511	+	3.53392i	−0.227432	+	0.180811i
$383$	−9.47465	−	16.4106i	−0.484132	−	0.838541i	0.515702	−	0.856768i	$-0.327531\pi$
$383$	−9.47465	−	16.4106i	−0.484132	−	0.838541i	−0.999834	+	0.0182268i	$0.994198\pi$
$384$	18.0685	+	32.0720i	0.922056	+	1.63667i
$385$	0.0781876	−	0.450587i	0.00398481	−	0.0229641i
$386$	−27.3500	−	10.7817i	−1.39208	−	0.548772i
$387$	65.3996	−	37.7585i	3.32445	−	1.91937i
$388$	5.37483	−	1.64020i	0.272866	−	0.0832684i
$389$	−9.50377	−	5.48700i	−0.481860	−	0.278202i	0.239331	−	0.970938i	$-0.423072\pi$
$389$	−9.50377	−	5.48700i	−0.481860	−	0.278202i	−0.721191	+	0.692736i	$0.756405\pi$
$390$	14.9417	−	2.22909i	0.756605	−	0.112874i
$391$	5.09186			0.257507
$392$	−1.98947	−	19.6988i	−0.100484	−	0.994939i
$393$	11.3287			0.571459
$394$	−3.65535	+	0.545325i	−0.184154	+	0.0274731i
$395$	2.22540	+	1.28484i	0.111972	+	0.0646472i
$396$	−0.765500	−	2.50850i	−0.0384678	−	0.126057i
$397$	−3.90158	+	2.25258i	−0.195815	+	0.113054i	−0.594702	−	0.803946i	$-0.702730\pi$
$397$	−3.90158	+	2.25258i	−0.195815	+	0.113054i	0.398887	+	0.917000i	$0.369397\pi$
$398$	21.8892	+	8.62896i	1.09721	+	0.432531i
$399$	5.07188	−	29.2287i	0.253912	−	1.46327i
$400$	−0.274879	−	3.99054i	−0.0137439	−	0.199527i
$401$	−5.74516	−	9.95090i	−0.286899	−	0.496924i	0.686169	−	0.727443i	$-0.259291\pi$
$401$	−5.74516	−	9.95090i	−0.286899	−	0.496924i	−0.973068	+	0.230518i	$0.925958\pi$
$402$	−22.5106	+	17.8962i	−1.12273	+	0.892581i
$403$	−11.3416	−	6.54810i	−0.564967	−	0.326184i
$404$	−3.58052	−	0.828587i	−0.178137	−	0.0412238i
$405$		−	25.7967i		−	1.28185i
$406$	0.543075	−	22.8911i	0.0269524	−	1.13607i
$407$	−0.876904			−0.0434665
$408$	44.5569	+	30.6743i	2.20589	+	1.51860i
$409$	2.78507	−	4.82388i	0.137713	−	0.238526i	−0.788918	−	0.614499i	$-0.789358\pi$
$409$	2.78507	−	4.82388i	0.137713	−	0.238526i	0.926631	+	0.375973i	$0.122692\pi$
$410$	5.38866	+	6.77808i	0.266127	+	0.334746i
$411$	−46.0830	+	26.6060i	−2.27310	+	1.31238i
$412$	−17.1574	−	16.0162i	−0.845283	−	0.789061i
$413$	0.477073	−	0.571704i	0.0234752	−	0.0281317i
$414$	8.64653	+	3.40855i	0.424954	+	0.167521i
$415$	−4.88282	−	8.45729i	−0.239688	−	0.415152i
$416$	−13.7091	+	12.5294i	−0.672146	+	0.614304i
$417$	25.1801	−	43.6132i	1.23308	−	2.13575i
$418$	0.124296	+	0.833166i	0.00607953	+	0.0407515i
$419$		−	1.56646i		−	0.0765268i	−0.999268	−	0.0382634i	$-0.987817\pi$
$419$		−	1.56646i		−	0.0765268i	0.999268	−	0.0382634i	$-0.0121826\pi$
$420$	2.13582	+	17.0840i	0.104217	+	0.833614i
$421$			16.4269i			0.800598i	0.916385	+	0.400299i	$0.131094\pi$
$421$			16.4269i			0.800598i	−0.916385	+	0.400299i	$0.868906\pi$
$422$	−12.9213	+	1.92767i	−0.629000	+	0.0938376i
$423$	−25.2425	+	43.7213i	−1.22733	+	2.12580i
$424$	0.759412	−	9.55403i	0.0368803	−	0.463985i
$425$	−2.93901	−	5.09051i	−0.142563	−	0.246926i
$426$	27.0733	−	68.6773i	1.31171	−	3.32743i
$427$	−4.38710	−	11.9522i	−0.212307	−	0.578408i
$428$	9.72441	−	10.4173i	0.470047	−	0.503539i
$429$	1.59907	−	0.923226i	0.0772040	−	0.0445738i
$430$	11.0191	−	8.76032i	0.531389	−	0.422460i
$431$	6.63000	−	11.4835i	0.319356	−	0.553141i	−0.660998	−	0.750388i	$-0.729867\pi$
$431$	6.63000	−	11.4835i	0.319356	−	0.553141i	0.980354	+	0.197247i	$0.0632001\pi$
$432$	33.3289	+	49.5231i	1.60354	+	2.38268i
$433$	−22.1601			−1.06495			−0.532473	−	0.846447i	$-0.678737\pi$
$433$	−22.1601			−1.06495			−0.532473	+	0.846447i	$0.678737\pi$
$434$	7.76709	−	12.7450i	0.372832	−	0.611780i
$435$			19.9115i			0.954681i
$436$	10.1998	+	2.36040i	0.488484	+	0.113043i
$437$	−2.58524	−	1.49259i	−0.123669	−	0.0714003i
$438$	32.6842	+	41.1116i	1.56171	+	1.96439i
$439$	16.0921	+	27.8724i	0.768036	+	1.33028i	0.938627	+	0.344935i	$0.112099\pi$
$439$	16.0921	+	27.8724i	0.768036	+	1.33028i	−0.170591	+	0.985342i	$0.554568\pi$
$440$	−0.210131	−	0.441435i	−0.0100176	−	0.0210446i
$441$	−9.50616	−	52.2485i	−0.452674	−	2.48802i
$442$	−10.0091	+	25.3902i	−0.476085	+	1.20769i
$443$	5.44099	−	3.14136i	0.258509	−	0.149250i	−0.365145	−	0.930951i	$-0.618981\pi$
$443$	5.44099	−	3.14136i	0.258509	−	0.149250i	0.623654	+	0.781700i	$0.285647\pi$
$444$	31.5757	−	9.63573i	1.49852	−	0.457292i
$445$	9.20883	+	5.31672i	0.436541	+	0.252037i
$446$	2.82383	+	18.9283i	0.133712	+	0.896282i
$447$	67.4128			3.18851
$448$	−13.9047	−	15.9581i	−0.656935	−	0.753947i
$449$	11.5311			0.544185			0.272093	−	0.962271i	$-0.412284\pi$
$449$	11.5311			0.544185			0.272093	+	0.962271i	$0.412284\pi$
$450$	−1.58310	−	10.6116i	−0.0746281	−	0.500237i
$451$	0.916559	+	0.529175i	0.0431591	+	0.0249179i
$452$	8.22895	−	2.51117i	0.387057	−	0.118115i
$453$	10.0772	−	5.81810i	0.473470	−	0.273358i
$454$	12.3689	−	31.3764i	0.580502	−	1.47257i
$455$	−8.15438	+	2.99309i	−0.382283	+	0.140318i
$456$	−13.6308	−	28.6350i	−0.638321	−	1.34096i
$457$	20.4575	+	35.4334i	0.956960	+	1.65750i	0.729819	+	0.683641i	$0.239604\pi$
$457$	20.4575	+	35.4334i	0.956960	+	1.65750i	0.227141	+	0.973862i	$0.427062\pi$
$458$	−1.74668	−	2.19705i	−0.0816171	−	0.102662i
$459$	75.9679	+	43.8601i	3.54588	+	2.04721i
$460$	1.68790	+	0.390607i	0.0786990	+	0.0182122i
$461$		−	32.0531i		−	1.49286i	−0.665462	−	0.746432i	$-0.731765\pi$
$461$		−	32.0531i		−	1.49286i	0.665462	−	0.746432i	$-0.268235\pi$
$462$	1.00865	+	1.84685i	0.0469265	+	0.0859231i
$463$	−9.16626			−0.425992			−0.212996	−	0.977053i	$-0.568322\pi$
$463$	−9.16626			−0.425992			−0.212996	+	0.977053i	$0.568322\pi$
$464$	−13.6671	−	20.3078i	−0.634479	−	0.942767i
$465$	−6.48942	+	11.2400i	−0.300940	+	0.521243i
$466$	−10.2228	+	8.12727i	−0.473563	+	0.376489i
$467$	−11.6569	+	6.73013i	−0.539419	+	0.311433i	−0.744843	−	0.667239i	$-0.767476\pi$
$467$	−11.6569	+	6.73013i	−0.539419	+	0.311433i	0.205425	+	0.978673i	$0.434142\pi$
$468$	−33.9931	+	36.4151i	−1.57133	+	1.68329i
$469$	10.5941	−	12.6955i	0.489191	−	0.586225i
$470$	−3.45138	+	8.75516i	−0.159200	+	0.403845i
$471$	5.64722	+	9.78128i	0.260210	+	0.450698i
$472$	0.0630737	−	0.793518i	0.00290320	−	0.0365246i
$473$	0.860279	−	1.49005i	0.0395557	−	0.0685124i
$474$	−11.6948	+	1.74469i	−0.537158	+	0.0801362i
$475$			3.44607i			0.158117i
$476$	−28.6576	−	12.0901i	−1.31352	−	0.554148i
$477$		−	25.7073i		−	1.17706i
$478$	3.00329	+	20.1312i	0.137367	+	0.920781i
$479$	10.6207	−	18.3957i	0.485274	−	0.840519i	−0.514583	−	0.857441i	$-0.672053\pi$
$479$	10.6207	−	18.3957i	0.485274	−	0.840519i	0.999857	+	0.0169217i	$0.00538660\pi$
$480$	12.4171	+	13.5863i	0.566760	+	0.620126i
$481$	8.32795	+	14.4244i	0.379722	+	0.657697i
$482$	39.5546	+	15.5928i	1.80166	+	0.710235i
$483$	−7.34736	−	1.27494i	−0.334317	−	0.0580119i
$484$	16.0383	+	14.9715i	0.729014	+	0.680525i
$485$	2.43333	−	1.40488i	0.110492	−	0.0637924i
$486$	34.4679	+	43.3553i	1.56350	+	1.96663i
$487$	−7.79534	+	13.5019i	−0.353240	+	0.611830i	−0.986815	−	0.161851i	$-0.948254\pi$
$487$	−7.79534	+	13.5019i	−0.353240	+	0.611830i	0.633575	+	0.773681i	$0.281587\pi$
$488$	−11.2112	−	7.71809i	−0.507506	−	0.349382i
$489$	−17.3412			−0.784196
$490$	−3.18974	−	9.37153i	−0.144098	−	0.423362i
$491$			28.0991i			1.26810i	0.773294	+	0.634048i	$0.218608\pi$
$491$			28.0991i			1.26810i	−0.773294	+	0.634048i	$0.781392\pi$
$492$	−38.8184	−	8.98319i	−1.75007	−	0.404993i
$493$	−31.1520	−	17.9856i	−1.40302	−	0.810032i
$494$	12.5245	−	9.95715i	0.563506	−	0.447994i
$495$	−0.655676	−	1.13566i	−0.0294704	−	0.0510443i
$496$	−1.09647	−	15.9180i	−0.0492331	−	0.714741i
$497$	−7.25693	+	41.8209i	−0.325518	+	1.87592i
$498$	41.8049	+	16.4799i	1.87332	+	0.738484i
$499$	−1.50166	+	0.866984i	−0.0672235	+	0.0388115i	−0.533235	−	0.845967i	$-0.679024\pi$
$499$	−1.50166	+	0.866984i	−0.0672235	+	0.0388115i	0.466012	+	0.884779i	$0.345691\pi$
$500$	−0.583749	−	1.91291i	−0.0261061	−	0.0855481i
$501$	16.1521	+	9.32543i	0.721624	+	0.416630i
$502$	13.5323	−	2.01882i	0.603975	−	0.0901042i
$503$	−14.2077			−0.633491			−0.316746	−	0.948511i	$-0.602590\pi$
$503$	−14.2077			−0.633491			−0.316746	+	0.948511i	$0.602590\pi$
$504$	−40.5704	−	39.7140i	−1.80715	−	1.76900i
$505$	−1.83757			−0.0817708
$506$	0.209437	−	0.0312449i	0.00931060	−	0.00138901i
$507$	6.25850	+	3.61335i	0.277950	+	0.160474i
$508$	11.4662	−	3.49904i	0.508729	−	0.155245i
$509$	38.4218	−	22.1828i	1.70301	−	0.983236i	0.760338	−	0.649528i	$-0.225033\pi$
$509$	38.4218	−	22.1828i	1.70301	−	0.983236i	0.942676	−	0.333708i	$-0.108300\pi$
$510$	25.1627	+	9.91940i	1.11422	+	0.439239i
$511$	−23.1861	−	19.3482i	−1.02569	−	0.855916i
$512$	−21.9898	−	5.33370i	−0.971821	−	0.235719i
$513$	−25.7137	−	44.5374i	−1.13529	−	1.96637i
$514$	−19.9957	+	15.8968i	−0.881971	+	0.701178i
$515$	−10.1633	−	5.86778i	−0.447848	−	0.258565i
$516$	−14.6039	+	63.1070i	−0.642903	+	2.77813i
$517$			1.15024i			0.0505874i
$518$	−16.6595	+	9.09848i	−0.731974	+	0.399764i
$519$	−48.0926			−2.11103
$520$	−5.26566	+	7.64881i	−0.230915	+	0.335422i
$521$	3.30196	−	5.71917i	0.144662	−	0.250561i	−0.784585	−	0.620021i	$-0.787124\pi$
$521$	3.30196	−	5.71917i	0.144662	−	0.250561i	0.929247	+	0.369460i	$0.120457\pi$
$522$	−40.8597	−	51.3950i	−1.78838	−	2.24950i
$523$	22.5743	−	13.0333i	0.987104	−	0.569905i	0.0826964	−	0.996575i	$-0.473647\pi$
$523$	22.5743	−	13.0333i	0.987104	−	0.569905i	0.904407	+	0.426670i	$0.140313\pi$
$524$	−4.75180	+	5.09038i	−0.207583	+	0.222374i
$525$	2.96627	+	8.08130i	0.129459	+	0.352697i
$526$	−3.89453	−	1.53527i	−0.169810	−	0.0669408i
$527$	−11.7235	−	20.3057i	−0.510685	−	0.884532i
$528$	2.02092	+	0.988271i	0.0879494	+	0.0430090i
$529$	11.1248	−	19.2687i	0.483687	−	0.837770i
$530$	−0.707083	−	4.73963i	−0.0307137	−	0.205876i
$531$		−	2.13514i		−	0.0926573i
$532$	11.0061	+	14.5389i	0.477173	+	0.630340i
$533$		−	20.1023i		−	0.870727i
$534$	−48.3935	+	7.21961i	−2.09419	+	0.312423i
$535$	3.56269	−	6.17076i	0.154029	−	0.266785i
$536$	1.40065	−	17.6213i	0.0604987	−	0.761123i
$537$	7.97272	+	13.8092i	0.344048	+	0.595909i
$538$	8.82808	−	22.3943i	0.380606	−	0.965488i
$539$	−0.782776	−	0.922636i	−0.0337165	−	0.0397408i
$540$	21.8181	+	20.3669i	0.938899	+	0.876451i
$541$	−4.47915	+	2.58604i	−0.192574	+	0.111182i	−0.593187	−	0.805065i	$-0.702130\pi$
$541$	−4.47915	+	2.58604i	−0.192574	+	0.111182i	0.400613	+	0.916247i	$0.368797\pi$
$542$	29.3076	−	23.2999i	1.25887	−	1.00082i
$543$	−2.32858	+	4.03321i	−0.0999288	+	0.173082i
$544$	−32.4722	+	7.15467i	−1.39223	+	0.306754i
$545$	5.23470			0.224230
$546$	20.8002	−	34.1310i	0.890165	−	1.46067i
$547$		−	8.38396i		−	0.358472i	−0.983806	−	0.179236i	$-0.942637\pi$
$547$		−	8.38396i		−	0.358472i	0.983806	−	0.179236i	$-0.0573626\pi$
$548$	7.37439	−	31.8664i	0.315018	−	1.36127i
$549$	−31.6171	−	18.2542i	−1.34939	−	0.779069i
$550$	−0.152123	−	0.191347i	−0.00648654	−	0.00815905i
$551$	10.5443	+	18.2633i	0.449204	+	0.778044i
$552$	−7.19812	+	3.42644i	−0.306372	+	0.145839i
$553$	6.38236	−	2.34267i	0.271405	−	0.0996203i
$554$	−2.16680	+	5.49656i	−0.0920587	+	0.233527i
$555$	14.2952	−	8.25331i	0.606796	−	0.350334i
$556$	9.03516	+	29.6077i	0.383176	+	1.25565i
$557$	−2.25424	−	1.30149i	−0.0955154	−	0.0551458i	0.451481	−	0.892280i	$-0.350896\pi$
$557$	−2.25424	−	1.30149i	−0.0955154	−	0.0551458i	−0.546997	+	0.837135i	$0.684229\pi$
$558$	−6.31489	−	42.3292i	−0.267331	−	1.79194i
$559$	−32.6803			−1.38223
$560$	−8.57227	−	6.20614i	−0.362245	−	0.262257i
$561$	3.30583			0.139572
$562$	−2.42624	−	16.2633i	−0.102345	−	0.686025i
$563$	16.7583	+	9.67542i	0.706279	+	0.407770i	0.809682	−	0.586869i	$-0.199640\pi$
$563$	16.7583	+	9.67542i	0.706279	+	0.407770i	−0.103403	+	0.994640i	$0.532973\pi$
$564$	−12.6392	−	41.4180i	−0.532207	−	1.74401i
$565$	3.72546	−	2.15090i	0.156731	−	0.0904889i
$566$	0.861370	−	2.18505i	0.0362061	−	0.0918444i
$567$	−52.4029	−	43.7289i	−2.20072	−	1.83644i
$568$	19.5032	+	40.9714i	0.818335	+	1.71912i
$569$	−6.57137	−	11.3820i	−0.275486	−	0.477156i	0.694771	−	0.719231i	$-0.255506\pi$
$569$	−6.57137	−	11.3820i	−0.275486	−	0.477156i	−0.970258	+	0.242074i	$0.922172\pi$
$570$	−9.86792	−	12.4123i	−0.413322	−	0.519894i
$571$	32.5225	+	18.7769i	1.36102	+	0.785788i	0.989760	−	0.142740i	$-0.0455912\pi$
$571$	32.5225	+	18.7769i	1.36102	+	0.785788i	0.371264	+	0.928527i	$0.378925\pi$
$572$	−0.255890	+	1.10576i	−0.0106993	+	0.0462342i
$573$		−	13.0651i		−	0.545801i
$574$	22.9034	+	0.543366i	0.955969	+	0.0226797i
$575$	0.866256			0.0361254
$576$	−59.9307	−	9.58789i	−2.49711	−	0.399495i
$577$	−0.657055	+	1.13805i	−0.0273535	+	0.0473777i	−0.879378	−	0.476124i	$-0.842041\pi$
$577$	−0.657055	+	1.13805i	−0.0273535	+	0.0473777i	0.852025	+	0.523502i	$0.175375\pi$
$578$	−19.4291	+	15.4463i	−0.808143	+	0.642483i
$579$	58.5758	−	33.8187i	2.43433	−	1.40546i
$580$	−8.94688	−	8.35180i	−0.371499	−	0.346790i
$581$	−25.4570	−	4.41740i	−1.05614	−	0.183265i
$582$	−4.74160	+	12.0281i	−0.196546	+	0.498580i
$583$	−0.292854	−	0.507238i	−0.0121288	−	0.0210076i
$584$	−32.1821	−	2.55803i	−1.33170	−	0.105852i
$585$	−12.4539	+	21.5708i	−0.514905	+	0.891842i
$586$	−10.5474	+	1.57352i	−0.435709	+	0.0650014i
$587$			37.4337i			1.54505i	0.634982	+	0.772527i	$0.281008\pi$
$587$			37.4337i			1.54505i	−0.634982	+	0.772527i	$0.718992\pi$
$588$	38.3246	+	24.6211i	1.58048	+	1.01536i
$589$			13.7462i			0.566402i
$590$	−0.0587274	−	0.393654i	−0.00241777	−	0.0162065i
$591$	4.25150	−	7.36382i	0.174883	−	0.302907i
$592$	−8.91469	+	18.2297i	−0.366392	+	0.749237i
$593$	7.11541	+	12.3243i	0.292195	+	0.506097i	0.974328	−	0.225131i	$-0.0722810\pi$
$593$	7.11541	+	12.3243i	0.292195	+	0.506097i	−0.682133	+	0.731228i	$0.738948\pi$
$594$	3.39382	+	1.33788i	0.139250	+	0.0548939i
$595$	−15.3228	−	2.65887i	−0.628173	−	0.109003i
$596$	−28.2761	+	30.2908i	−1.15823	+	1.24076i
$597$	−46.8803	+	27.0664i	−1.91868	+	1.10775i
$598$	−2.50298	−	3.14835i	−0.102354	−	0.128746i
$599$	−21.5704	+	37.3611i	−0.881344	+	1.52653i	−0.0314957	+	0.999504i	$0.510027\pi$
$599$	−21.5704	+	37.3611i	−0.881344	+	1.52653i	−0.849848	+	0.527028i	$0.823306\pi$
$600$	7.58026	+	5.21847i	0.309463	+	0.213043i
$601$	3.95317			0.161253			0.0806266	−	0.996744i	$-0.474308\pi$
$601$	3.95317			0.161253			0.0806266	+	0.996744i	$0.474308\pi$
$602$	0.883349	−	37.2340i	0.0360026	−	1.51754i
$603$		−	47.4140i		−	1.93085i
$604$	−1.61260	+	6.96842i	−0.0656159	+	0.283541i
$605$	9.50040	+	5.48506i	0.386246	+	0.222999i
$606$	6.61868	−	5.26193i	0.268865	−	0.213751i
$607$	−13.1573	−	22.7891i	−0.534038	−	0.924981i	−0.999209	−	0.0397602i	$-0.987341\pi$
$607$	−13.1573	−	22.7891i	−0.534038	−	0.924981i	0.465171	−	0.885221i	$-0.345993\pi$
$608$	18.5841	+	5.88609i	0.753684	+	0.238712i
$609$	40.4478	+	33.7527i	1.63903	+	1.36773i
$610$	−6.33131	−	2.49587i	−0.256347	−	0.101055i
$611$	18.9206	−	10.9238i	0.765444	−	0.441930i
$612$	−85.3047	+	26.0318i	−3.44824	+	1.05227i
$613$	−12.9069	−	7.45180i	−0.521305	−	0.300975i	0.216164	−	0.976357i	$-0.430646\pi$
$613$	−12.9069	−	7.45180i	−0.521305	−	0.300975i	−0.737468	+	0.675382i	$0.763979\pi$
$614$	33.4166	−	4.98527i	1.34859	−	0.201189i
$615$	−19.9221			−0.803338
$616$	−1.25292	−	0.321435i	−0.0504817	−	0.0129510i
$617$	−3.11178			−0.125275			−0.0626377	−	0.998036i	$-0.519951\pi$
$617$	−3.11178			−0.125275			−0.0626377	+	0.998036i	$0.519951\pi$
$618$	53.4094	−	7.96790i	2.14844	−	0.320516i
$619$	−28.0021	−	16.1670i	−1.12550	−	0.649808i	−0.182702	−	0.983168i	$-0.558484\pi$
$619$	−28.0021	−	16.1670i	−1.12550	−	0.649808i	−0.942800	+	0.333360i	$0.891818\pi$
$620$	−2.32854	−	7.63049i	−0.0935165	−	0.306448i
$621$	−11.1956	+	6.46376i	−0.449262	+	0.259382i
$622$	−12.2120	−	4.81409i	−0.489656	−	0.193028i
$623$	26.4105	−	9.69408i	1.05812	−	0.388385i
$624$	−2.93634	−	42.6283i	−0.117548	−	1.70650i
$625$	−0.500000	−	0.866025i	−0.0200000	−	0.0346410i
$626$	−11.9609	+	9.50906i	−0.478054	+	0.380058i
$627$	−1.67844	−	0.969047i	−0.0670304	−	0.0387000i
$628$	−6.76377	−	1.56524i	−0.269904	−	0.0624599i
$629$			29.8202i			1.18901i
$630$	−24.2398	−	14.7723i	−0.965739	−	0.588542i
$631$	−29.1894			−1.16201			−0.581005	−	0.813900i	$-0.697340\pi$
$631$	−29.1894			−1.16201			−0.581005	+	0.813900i	$0.697340\pi$
$632$	4.12139	−	5.98665i	0.163940	−	0.238136i
$633$	15.0287	−	26.0304i	0.597335	−	1.03462i
$634$	29.5101	+	37.1190i	1.17199	+	1.47418i
$635$	5.19103	−	2.99704i	0.206000	−	0.118934i
$636$	16.1189	+	15.0467i	0.639154	+	0.596642i
$637$	−7.74268	+	21.6384i	−0.306776	+	0.857343i
$638$	−1.39170	−	0.548622i	−0.0550979	−	0.0217202i
$639$	60.8560	+	105.406i	2.40743	+	4.16979i
$640$	−11.3131	−	0.119306i	−0.447189	−	0.00471600i
$641$	12.4027	−	21.4821i	0.489876	−	0.848490i	−0.510056	−	0.860141i	$-0.670375\pi$
$641$	12.4027	−	21.4821i	0.489876	−	0.848490i	0.999932	+	0.0116510i	$0.00370870\pi$
$642$	4.83780	+	32.4281i	0.190933	+	1.27984i
$643$			4.13877i			0.163217i	0.996664	+	0.0816087i	$0.0260058\pi$
$643$			4.13877i			0.163217i	−0.996664	+	0.0816087i	$0.973994\pi$
$644$	3.65470	−	2.76664i	0.144015	−	0.109021i
$645$			32.3874i			1.27525i
$646$	28.3329	−	4.22685i	1.11474	−	0.166303i
$647$	14.3337	−	24.8267i	0.563516	−	0.976039i	−0.433670	−	0.901072i	$-0.642782\pi$
$647$	14.3337	−	24.8267i	0.563516	−	0.976039i	0.997186	−	0.0749668i	$-0.0238851\pi$
$648$	−72.7347	−	5.78139i	−2.85729	−	0.227115i
$649$	−0.0243232	−	0.0421291i	−0.000954771	−	0.00165371i
$650$	−1.70280	+	4.31953i	−0.0667895	+	0.169426i
$651$	11.8323	+	32.2358i	0.463743	+	1.26342i
$652$	7.27371	−	7.79198i	0.284861	−	0.305158i
$653$	22.5241	−	13.0043i	0.881435	−	0.508897i	0.0103038	−	0.999947i	$-0.496720\pi$
$653$	22.5241	−	13.0043i	0.881435	−	0.508897i	0.871131	+	0.491050i	$0.163387\pi$
$654$	−18.8547	+	14.9897i	−0.737276	+	0.586143i
$655$	−1.74090	+	3.01532i	−0.0680225	+	0.117818i
$656$	20.3187	−	13.6744i	0.793312	−	0.533897i
$657$	−86.5932			−3.37832
$658$	11.9345	+	21.8523i	0.465256	+	0.851890i
$659$			5.87189i			0.228736i	0.993438	+	0.114368i	$0.0364843\pi$
$659$			5.87189i			0.228736i	−0.993438	+	0.114368i	$0.963516\pi$
$660$	1.09585	+	0.253597i	0.0426560	+	0.00987126i
$661$	17.9691	+	10.3745i	0.698918	+	0.403520i	0.806944	−	0.590628i	$-0.201120\pi$
$661$	17.9691	+	10.3745i	0.698918	+	0.403520i	−0.108026	+	0.994148i	$0.534453\pi$
$662$	17.8940	+	22.5078i	0.695468	+	0.874790i
$663$	−31.3955	−	54.3785i	−1.21930	−	2.11189i
$664$	−24.9399	+	11.8719i	−0.967856	+	0.460718i
$665$	7.00029	+	5.84157i	0.271460	+	0.226526i
$666$	−19.9620	+	50.6379i	−0.773512	+	1.96218i
$667$	4.59094	−	2.65058i	0.177762	−	0.102631i
$668$	−10.9652	+	3.34616i	−0.424256	+	0.129467i
$669$	−38.1317	−	22.0153i	−1.47426	−	0.851162i
$670$	−1.30413	−	8.74168i	−0.0503830	−	0.337720i
$671$	−0.831796			−0.0321111
$672$	48.6476	−	2.19325i	1.87662	−	0.0846065i
$673$	30.4220			1.17268			0.586341	−	0.810064i	$-0.300568\pi$
$673$	30.4220			1.17268			0.586341	+	0.810064i	$0.300568\pi$
$674$	−3.01900	−	20.2366i	−0.116287	−	0.779483i
$675$	12.9241	+	7.46172i	0.497448	+	0.287202i
$676$	−4.24871	+	1.29655i	−0.163412	+	0.0498672i
$677$	28.0155	−	16.1747i	1.07672	−	0.621646i	0.146712	−	0.989179i	$-0.453131\pi$
$677$	28.0155	−	16.1747i	1.07672	−	0.621646i	0.930010	+	0.367534i	$0.119798\pi$
$678$	−7.25946	+	18.4152i	−0.278798	+	0.707231i
$679$	1.27097	−	7.32448i	0.0487754	−	0.281088i
$680$	−15.0115	+	7.14578i	−0.575666	+	0.274028i
$681$	38.7975	+	67.1992i	1.48672	+	2.57508i
$682$	−0.606809	−	0.763270i	−0.0232359	−	0.0292271i
$683$	19.5902	+	11.3104i	0.749597	+	0.432780i	0.825548	−	0.564332i	$-0.190866\pi$
$683$	19.5902	+	11.3104i	0.749597	+	0.432780i	−0.0759516	+	0.997112i	$0.524199\pi$
$684$	50.9417	+	11.7887i	1.94781	+	0.450753i
$685$		−	16.3543i		−	0.624865i
$686$	−24.4442	−	9.40644i	−0.933284	−	0.359140i
$687$	6.45758			0.246372
$688$	−22.2305	−	33.0321i	−0.847530	−	1.25934i
$689$	−5.56246	+	9.63447i	−0.211913	+	0.367044i
$690$	−3.12014	+	2.48054i	−0.118782	+	0.0944327i
$691$	30.6055	−	17.6701i	1.16429	−	0.672201i	0.211959	−	0.977279i	$-0.432016\pi$
$691$	30.6055	−	17.6701i	1.16429	−	0.672201i	0.952328	+	0.305078i	$0.0986824\pi$
$692$	20.1723	−	21.6096i	0.766835	−	0.821474i
$693$	−3.41843	−	0.593178i	−0.129855	−	0.0225330i
$694$	−5.03163	+	12.7638i	−0.190998	+	0.484507i
$695$	7.73890	+	13.4042i	0.293553	+	0.508449i
$696$	56.1410	+	4.46243i	2.12802	+	0.169148i
$697$	17.9953	−	31.1687i	0.681619	−	1.18060i
$698$	38.7833	−	5.78590i	1.46797	−	0.218999i
$699$		−	30.0469i		−	1.13648i
$700$	−4.87539	−	2.05683i	−0.184272	−	0.0777410i
$701$		−	36.2468i		−	1.36902i	−0.729003	−	0.684511i	$-0.760016\pi$
$701$		−	36.2468i		−	1.36902i	0.729003	−	0.684511i	$-0.239984\pi$
$702$	−10.2239	−	68.5318i	−0.385878	−	2.58657i
$703$	8.74127	−	15.1403i	0.329683	−	0.571028i
$704$	−1.29173	+	0.493541i	−0.0486840	+	0.0186010i
$705$	−10.8259	−	18.7510i	−0.407727	−	0.706204i
$706$	17.3420	+	6.83642i	0.652676	+	0.257292i
$707$	−3.11493	+	3.73281i	−0.117149	+	0.140387i
$708$	1.33877	+	1.24972i	0.0503139	+	0.0469674i
$709$	36.3803	−	21.0042i	1.36629	−	0.788828i	0.375839	−	0.926685i	$-0.377355\pi$
$709$	36.3803	−	21.0042i	1.36629	−	0.788828i	0.990452	+	0.137857i	$0.0440213\pi$
$710$	14.1192	+	17.7597i	0.529883	+	0.666510i
$711$	9.74755	−	16.8832i	0.365562	−	0.633171i
$712$	17.0545	−	24.7731i	0.639145	−	0.928410i
$713$	3.45544			0.129407
$714$	62.8043	−	34.3003i	2.35039	−	1.28366i
$715$			0.567492i			0.0212230i
$716$	−9.54905	−	2.20980i	−0.356865	−	0.0825841i
$717$	−40.5550	−	23.4144i	−1.51455	−	0.874428i
$718$	−39.9532	+	31.7633i	−1.49104	+	1.18540i
$719$	−1.98447	−	3.43720i	−0.0740081	−	0.128186i	0.826646	−	0.562722i	$-0.190246\pi$
$719$	−1.98447	−	3.43720i	−0.0740081	−	0.128186i	−0.900655	+	0.434536i	$0.856912\pi$
$720$	−30.2747	+	2.08539i	−1.12827	+	0.0777180i
$721$	−29.1479	+	10.6988i	−1.08552	+	0.398446i
$722$	9.37361	+	3.69518i	0.348850	+	0.137520i
$723$	−84.7145	+	48.9099i	−3.15056	+	1.81898i
$724$	−0.835543	−	2.73803i	−0.0310527	−	0.101758i
$725$	−5.29975	−	3.05981i	−0.196828	−	0.113639i
$726$	−49.9258	+	7.44820i	−1.85292	+	0.276428i
$727$	−14.2995			−0.530341			−0.265170	−	0.964202i	$-0.585428\pi$
$727$	−14.2995			−0.530341			−0.265170	+	0.964202i	$0.585428\pi$
$728$	6.61162	+	23.6623i	0.245043	+	0.876985i
$729$	−50.0397			−1.85332
$730$	−15.9651	+	2.38176i	−0.590895	+	0.0881529i
$731$	−50.6709	−	29.2549i	−1.87413	−	1.08203i
$732$	29.9515	−	9.14007i	1.10704	−	0.337827i
$733$	−16.3334	+	9.43010i	−0.603288	+	0.348309i	−0.770334	−	0.637640i	$-0.779911\pi$
$733$	−16.3334	+	9.43010i	−0.603288	+	0.348309i	0.167046	+	0.985949i	$0.446577\pi$
$734$	7.41304	+	2.92230i	0.273620	+	0.107864i
$735$	21.4444	+	7.67329i	0.790990	+	0.283034i
$736$	1.47961	−	4.67156i	0.0545393	−	0.172196i
$737$	−0.540134	−	0.935539i	−0.0198961	−	0.0344610i
$738$	51.4226	−	40.8816i	1.89289	−	1.50487i
$739$	18.7580	+	10.8299i	0.690024	+	0.398385i	0.803621	−	0.595141i	$-0.202904\pi$
$739$	18.7580	+	10.8299i	0.690024	+	0.398385i	−0.113597	+	0.993527i	$0.536237\pi$
$740$	−2.28757	+	9.88512i	−0.0840928	+	0.363384i
$741$			36.8121i			1.35233i
$742$	−10.8266	−	6.59796i	−0.397457	−	0.242219i
$743$	8.93118			0.327653			0.163827	−	0.986489i	$-0.447616\pi$
$743$	8.93118			0.327653			0.163827	+	0.986489i	$0.447616\pi$
$744$	30.2372	+	20.8162i	1.10855	+	0.763158i
$745$	−10.3594	+	17.9430i	−0.379538	+	0.657380i
$746$	22.6921	+	28.5431i	0.830817	+	1.04504i
$747$	−64.1621	+	37.0440i	−2.34757	+	1.35537i
$748$	−1.38662	+	1.48542i	−0.0506999	+	0.0543123i
$749$	−6.49592	−	17.6975i	−0.237356	−	0.646652i
$750$	4.28082	+	1.68754i	0.156313	+	0.0616204i
$751$	−1.59639	−	2.76503i	−0.0582531	−	0.100897i	0.835428	−	0.549600i	$-0.185220\pi$
$751$	−1.59639	−	2.76503i	−0.0582531	−	0.100897i	−0.893681	+	0.448702i	$0.851886\pi$
$752$	23.9120	+	11.6934i	0.871980	+	0.426415i
$753$	−15.7392	+	27.2612i	−0.573570	+	0.993452i
$754$	4.19251	+	28.1027i	0.152682	+	1.02344i
$755$			3.57629i			0.130155i
$756$	78.3575	−	9.79614i	2.84983	−	0.356282i
$757$		−	52.4163i		−	1.90510i	−0.304377	−	0.952552i	$-0.598448\pi$
$757$		−	52.4163i		−	1.90510i	0.304377	−	0.952552i	$-0.401552\pi$
$758$	−5.12678	+	0.764841i	−0.186213	+	0.0277803i
$759$	−0.243594	+	0.421917i	−0.00884189	+	0.0153146i
$760$	9.71633	+	0.772313i	0.352448	+	0.0280147i
$761$	0.517183	+	0.895787i	0.0187479	+	0.0324722i	0.875247	−	0.483676i	$-0.160699\pi$
$761$	0.517183	+	0.895787i	0.0187479	+	0.0324722i	−0.856499	+	0.516148i	$0.827365\pi$
$762$	−10.1153	+	25.6596i	−0.366438	+	0.929549i
$763$	8.87354	−	10.6337i	0.321244	−	0.384965i
$764$	5.87057	+	5.48010i	0.212390	+	0.198263i
$765$	−38.6197	+	22.2971i	−1.39630	+	0.806152i
$766$	−20.9769	+	16.6769i	−0.757928	+	0.602562i
$767$	−0.461995	+	0.800199i	−0.0166817	+	0.0288935i
$768$	41.0898	−	31.9656i	1.48270	−	1.15346i
$769$	−20.7233			−0.747300			−0.373650	−	0.927570i	$-0.621894\pi$
$769$	−20.7233			−0.747300			−0.373650	+	0.927570i	$0.621894\pi$
$770$	−0.646567	−	0.0153393i	−0.0233007	−	0.000552792i
$771$		−	58.7713i		−	2.11660i
$772$	−9.37354	+	40.5052i	−0.337361	+	1.45781i
$773$	8.59770	+	4.96389i	0.309238	+	0.178539i	0.646585	−	0.762842i	$-0.276196\pi$
$773$	8.59770	+	4.96389i	0.309238	+	0.178539i	−0.337348	+	0.941380i	$0.609530\pi$
$774$	−66.4611	−	83.5976i	−2.38889	−	3.00485i
$775$	−1.99447	−	3.45452i	−0.0716435	−	0.124090i
$776$	−3.41577	−	7.17570i	−0.122619	−	0.257593i
$777$	7.46663	−	43.0294i	0.267864	−	1.54367i
$778$	−5.69170	+	14.4382i	−0.204057	+	0.517635i
$779$	−18.2731	+	10.5500i	−0.654703	+	0.377993i
$780$	−6.23581	−	20.4344i	−0.223278	−	0.731668i
$781$	2.40154	+	1.38653i	0.0859337	+	0.0496138i
$782$	−1.06252	−	7.12216i	−0.0379957	−	0.254688i
$783$	91.3259			3.26372
$784$	−27.1382	+	6.89330i	−0.969222	+	0.246189i
$785$	−3.47126			−0.123894
$786$	−2.36397	−	15.8459i	−0.0843201	−	0.565204i
$787$	−32.7160	−	18.8886i	−1.16620	−	0.673306i	−0.213418	−	0.976961i	$-0.568459\pi$
$787$	−32.7160	−	18.8886i	−1.16620	−	0.673306i	−0.952782	+	0.303656i	$0.901793\pi$
$788$	1.52553	+	4.99907i	0.0543447	+	0.178085i
$789$	8.34095	−	4.81565i	0.296946	−	0.171442i
$790$	1.33277	−	3.38085i	0.0474178	−	0.120285i
$791$	1.94588	−	11.2139i	0.0691875	−	0.398720i
$792$	−3.34899	+	1.59418i	−0.119001	+	0.0566468i
$793$	7.89956	+	13.6824i	0.280522	+	0.485878i
$794$	3.96491	+	4.98723i	0.140709	+	0.176990i
$795$	9.54812	+	5.51261i	0.338637	+	0.195512i
$796$	7.50198	−	32.4178i	0.265901	−	1.14902i
$797$			7.38731i			0.261672i	0.991404	+	0.130836i	$0.0417661\pi$
$797$			7.38731i			0.261672i	−0.991404	+	0.130836i	$0.958234\pi$
$798$	−41.9416	−	0.995034i	−1.48472	−	0.0352238i
$799$	39.1153			1.38380
$800$	−5.52435	+	1.21719i	−0.195315	+	0.0430342i
$801$	40.3359	−	69.8637i	1.42520	−	2.46851i
$802$	−12.7198	+	10.1124i	−0.449152	+	0.357081i
$803$	−1.70860	+	0.986458i	−0.0602950	+	0.0348113i
$804$	29.7293	+	27.7519i	1.04847	+	0.978735i
$805$	1.46842	−	1.75970i	0.0517551	−	0.0620211i
$806$	−6.79238	+	17.2303i	−0.239251	+	0.606913i
$807$	27.6909	+	47.9621i	0.974767	+	1.68835i
$808$	−0.411825	+	5.18109i	−0.0144879	+	0.182270i
$809$	−5.07193	+	8.78485i	−0.178320	+	0.308859i	−0.941305	−	0.337557i	$-0.890399\pi$
$809$	−5.07193	+	8.78485i	−0.178320	+	0.308859i	0.762985	+	0.646416i	$0.223733\pi$
$810$	−36.0827	+	5.38301i	−1.26782	+	0.189140i
$811$			5.23592i			0.183858i	0.995766	+	0.0919290i	$0.0293033\pi$
$811$			5.23592i			0.183858i	−0.995766	+	0.0919290i	$0.970697\pi$
$812$	−32.1319	+	4.01708i	−1.12761	+	0.140972i
$813$			86.1410i			3.02110i
$814$	0.182984	+	1.22655i	0.00641359	+	0.0429907i
$815$	2.66484	−	4.61564i	0.0933453	−	0.161679i
$816$	33.6074	−	68.7240i	1.17649	−	2.40582i
$817$	17.1511	+	29.7066i	0.600041	+	1.03930i
$818$	−7.32849	−	2.88897i	−0.256235	−	0.101010i
$819$	22.7074	+	61.8640i	0.793461	+	2.16170i
$820$	8.35628	−	8.95168i	0.291814	−	0.312606i
$821$	−1.68015	+	0.970034i	−0.0586376	+	0.0338544i	−0.529032	−	0.848602i	$-0.677445\pi$
$821$	−1.68015	+	0.970034i	−0.0586376	+	0.0338544i	0.470395	+	0.882456i	$0.344112\pi$
$822$	46.8309	+	58.9059i	1.63341	+	2.05458i
$823$	17.7172	−	30.6870i	0.617582	−	1.06968i	−0.372344	−	0.928095i	$-0.621446\pi$
$823$	17.7172	−	30.6870i	0.617582	−	1.06968i	0.989926	−	0.141588i	$-0.0452209\pi$
$824$	−18.8222	+	27.3407i	−0.655701	+	0.952459i
$825$	0.562406			0.0195805
$826$	−0.899213	−	0.548000i	−0.0312876	−	0.0190674i
$827$			50.1920i			1.74535i	0.488305	+	0.872673i	$0.337615\pi$
$827$			50.1920i			1.74535i	−0.488305	+	0.872673i	$0.662385\pi$
$828$	2.96338	−	12.8055i	0.102985	−	0.445020i
$829$	34.6626	+	20.0125i	1.20388	+	0.695062i	0.961416	−	0.275097i	$-0.0887101\pi$
$829$	34.6626	+	20.0125i	1.20388	+	0.695062i	0.242467	+	0.970160i	$0.422043\pi$
$830$	−10.8106	+	8.59455i	−0.375241	+	0.298321i
$831$	−6.79659	−	11.7720i	−0.235771	−	0.408367i
$832$	20.3860	+	16.5609i	0.706756	+	0.574147i
$833$	−31.3754	+	26.6193i	−1.08709	+	0.922303i
$834$	−66.2577	−	26.1195i	−2.29432	−	0.904444i
$835$	−4.96422	+	2.86610i	−0.171794	+	0.0991854i
$836$	1.13944	−	0.347715i	0.0394084	−	0.0120260i
$837$	51.5534	+	29.7644i	1.78195	+	1.02881i
$838$	−2.19107	+	0.326875i	−0.0756892	+	0.0112917i
$839$	2.12249			0.0732764			0.0366382	−	0.999329i	$-0.488335\pi$
$839$	2.12249			0.0732764			0.0366382	+	0.999329i	$0.488335\pi$
$840$	23.4503	−	6.55237i	0.809112	−	0.226078i
$841$	−8.44982			−0.291373
$842$	22.9769	−	3.42781i	0.791835	−	0.118130i
$843$	32.7629	+	18.9157i	1.12841	+	0.651490i
$844$	5.39260	+	17.6712i	0.185621	+	0.608269i
$845$	−1.92350	+	1.11053i	−0.0661704	+	0.0382035i
$846$	66.4219	+	26.1842i	2.28363	+	0.900232i
$847$	27.2467	−	10.0010i	0.936209	−	0.343639i
$848$	−13.5220	+	0.931429i	−0.464348	+	0.0319854i
$849$	2.70185	+	4.67974i	0.0927272	+	0.160608i
$850$	−6.50698	+	5.17313i	−0.223188	+	0.177437i
$851$	−3.80590	−	2.19733i	−0.130464	−	0.0753237i
$852$	−101.711	−	23.5374i	−3.48455	−	0.806379i
$853$			17.9388i			0.614213i	0.951675	+	0.307107i	$0.0993608\pi$
$853$			17.9388i			0.614213i	−0.951675	+	0.307107i	$0.900639\pi$
$854$	−15.8025	+	8.63046i	−0.540750	+	0.295328i
$855$	26.1440			0.894106
$856$	−16.6002	−	11.4281i	−0.567384	−	0.390604i
$857$	14.6760	−	25.4196i	0.501323	−	0.868317i	−0.498676	−	0.866789i	$-0.666180\pi$
$857$	14.6760	−	25.4196i	0.501323	−	0.868317i	0.999999	−	0.00152840i	$-0.000486506\pi$
$858$	−1.62503	−	2.04403i	−0.0554775	−	0.0697820i
$859$	−14.5460	+	8.39816i	−0.496305	+	0.286542i	−0.727186	−	0.686440i	$-0.759172\pi$
$859$	−14.5460	+	8.39816i	−0.496305	+	0.286542i	0.230882	+	0.972982i	$0.425839\pi$
$860$	−14.5527	−	13.5848i	−0.496244	−	0.463237i
$861$	−33.7708	+	40.4695i	−1.15090	+	1.37920i
$862$	−17.4459	−	6.87734i	−0.594208	−	0.234243i
$863$	−15.9241	−	27.5814i	−0.542064	−	0.938882i	−0.998785	−	0.0492724i	$-0.984310\pi$
$863$	−15.9241	−	27.5814i	−0.542064	−	0.938882i	0.456722	−	0.889610i	$-0.349024\pi$
$864$	62.3148	−	56.9522i	2.11999	−	1.93755i
$865$	7.39043	−	12.8006i	0.251282	−	0.435234i
$866$	4.62416	+	30.9961i	0.157135	+	1.05329i
$867$		−	57.1059i		−	1.93942i
$868$	−19.4476	−	8.20458i	−0.660096	−	0.278482i
$869$		−	0.444171i		−	0.0150675i
$870$	27.8508	−	4.15494i	0.944232	−	0.140866i
$871$	−10.2593	+	17.7696i	−0.347623	+	0.602101i
$872$	1.17317	−	14.7594i	0.0397285	−	0.499817i
$873$	−10.6583	−	18.4607i	−0.360728	−	0.624799i
$874$	−1.54827	+	3.92753i	−0.0523711	+	0.132851i
$875$	−2.60680	−	0.452341i	−0.0881258	−	0.0152919i
$876$	50.6839	−	54.2953i	1.71245	−	1.83447i
$877$	29.1497	−	16.8296i	0.984317	−	0.568296i	0.0807463	−	0.996735i	$-0.474270\pi$
$877$	29.1497	−	16.8296i	0.984317	−	0.568296i	0.903571	+	0.428439i	$0.140936\pi$
$878$	35.6281	−	28.3248i	1.20239	−	0.955915i
$879$	12.2676	−	21.2481i	0.413775	−	0.716679i
$880$	−0.573601	+	0.386032i	−0.0193361	+	0.0130131i
$881$	11.1412			0.375355			0.187677	−	0.982231i	$-0.439904\pi$
$881$	11.1412			0.375355			0.187677	+	0.982231i	$0.439904\pi$
$882$	−71.0980	+	24.1993i	−2.39400	+	0.814833i
$883$			17.3701i			0.584552i	0.956334	+	0.292276i	$0.0944126\pi$
$883$			17.3701i			0.584552i	−0.956334	+	0.292276i	$0.905587\pi$
$884$	37.6028	+	8.70188i	1.26472	+	0.292676i
$885$	0.793028	+	0.457855i	0.0266573	+	0.0153906i
$886$	−5.52930	−	6.95499i	−0.185760	−	0.233657i
$887$	23.3869	+	40.5074i	0.785256	+	1.36010i	0.928846	+	0.370466i	$0.120802\pi$
$887$	23.3869	+	40.5074i	0.785256	+	1.36010i	−0.143590	+	0.989637i	$0.545865\pi$
$888$	−20.0668	−	42.1554i	−0.673396	−	1.41464i
$889$	2.71137	−	15.6254i	0.0909365	−	0.524058i
$890$	5.51507	−	13.9902i	0.184865	−	0.468951i
$891$	−3.86159	+	2.22949i	−0.129368	+	0.0746908i
$892$	25.8864	−	7.89957i	0.866742	−	0.264497i
$893$	−19.8596	−	11.4660i	−0.664577	−	0.383694i
$894$	−14.0671	−	94.2925i	−0.470473	−	3.15361i
$895$	−4.90070			−0.163812
$896$	−19.4196	+	22.7789i	−0.648763	+	0.760991i
$897$	9.25363			0.308970
$898$	−2.40620	−	16.1289i	−0.0802958	−	0.538229i
$899$	−21.1404	−	12.2054i	−0.705071	−	0.407073i
$900$	−14.5125	+	4.42867i	−0.483750	+	0.147622i
$901$	−17.2493	+	9.95886i	−0.574656	+	0.331778i
$902$	0.548917	−	1.39244i	0.0182769	−	0.0463633i
$903$	65.7911	+	54.9010i	2.18939	+	1.82699i
$904$	−5.22960	−	10.9861i	−0.173934	−	0.365393i
$905$	−0.715669	−	1.23958i	−0.0237896	−	0.0412049i
$906$	−10.2408	−	12.8813i	−0.340228	−	0.427953i
$907$	38.9022	+	22.4602i	1.29173	+	0.745779i	0.978960	−	0.204050i	$-0.0654106\pi$
$907$	38.9022	+	22.4602i	1.29173	+	0.745779i	0.312767	+	0.949830i	$0.398744\pi$
$908$	−46.4683	−	10.7535i	−1.54210	−	0.356867i
$909$			13.9409i			0.462391i
$910$	5.88812	+	10.7812i	0.195189	+	0.357395i
$911$	−20.9990			−0.695728			−0.347864	−	0.937545i	$-0.613093\pi$
$911$	−20.9990			−0.695728			−0.347864	+	0.937545i	$0.613093\pi$
$912$	−37.2084	+	25.0412i	−1.23209	+	0.829196i
$913$	−0.844000	+	1.46185i	−0.0279323	+	0.0483802i
$914$	45.2930	−	36.0084i	1.49816	−	1.19105i
$915$	13.5598	−	7.82876i	0.448274	−	0.258811i
$916$	−2.70861	+	2.90161i	−0.0894950	+	0.0958717i
$917$	3.17421	+	8.64781i	0.104822	+	0.285576i
$918$	45.4963	−	115.411i	1.50160	−	3.80914i
$919$	15.5036	+	26.8530i	0.511417	+	0.885800i	0.999912	+	0.0132334i	$0.00421244\pi$
$919$	15.5036	+	26.8530i	0.511417	+	0.885800i	−0.488496	+	0.872566i	$0.662454\pi$
$920$	0.194140	−	2.44244i	0.00640060	−	0.0805248i
$921$	−38.8665	+	67.3188i	−1.28070	+	2.21823i
$922$	−44.8338	+	6.68855i	−1.47652	+	0.220276i
$923$		−	52.6713i		−	1.73370i
$924$	2.37277	−	1.79621i	0.0780585	−	0.0590910i
$925$			5.07318i			0.166805i
$926$	1.91273	+	12.8212i	0.0628562	+	0.421330i
$927$	−44.5165	+	77.1049i	−1.46211	+	2.53246i
$928$	−25.5533	+	23.3543i	−0.838828	+	0.766642i
$929$	5.80066	+	10.0470i	0.190313	+	0.329633i	0.945354	−	0.326045i	$-0.105716\pi$
$929$	5.80066	+	10.0470i	0.190313	+	0.329633i	−0.755041	+	0.655678i	$0.772383\pi$
$930$	17.0759	+	6.73151i	0.559941	+	0.220735i
$931$	23.7329	−	4.31800i	0.777815	−	0.141517i
$932$	13.5011	+	12.6031i	0.442243	+	0.412828i
$933$	26.1545	−	15.1003i	0.856260	−	0.494362i
$934$	11.8461	+	14.9006i	0.387617	+	0.487561i
$935$	−0.508010	+	0.879899i	−0.0166137	+	0.0287758i
$936$	58.0284	+	39.9485i	1.89672	+	1.30576i
$937$	38.0682			1.24363			0.621816	−	0.783163i	$-0.286395\pi$
$937$	38.0682			1.24363			0.621816	+	0.783163i	$0.286395\pi$
$938$	−19.9684	−	12.1692i	−0.651990	−	0.397337i
$939$		−	35.1555i		−	1.14726i
$940$	12.9663	+	3.00061i	0.422915	+	0.0978692i
$941$	−44.8715	−	25.9066i	−1.46277	−	0.844530i	−0.463631	−	0.886028i	$-0.653454\pi$
$941$	−44.8715	−	25.9066i	−1.46277	−	0.844530i	−0.999139	+	0.0414979i	$0.986787\pi$
$942$	12.5030	−	9.94003i	0.407370	−	0.323864i
$943$	2.65200	+	4.59340i	0.0863611	+	0.149582i
$944$	−1.12308	+	0.0773607i	−0.0365532	+	0.00251788i
$945$	37.0657	−	13.6051i	1.20575	−	0.442574i
$946$	−2.26369	−	0.892372i	−0.0735990	−	0.0290135i
$947$	9.46236	−	5.46309i	0.307485	−	0.177527i	−0.338315	−	0.941033i	$-0.609857\pi$
$947$	9.46236	−	5.46309i	0.307485	−	0.177527i	0.645801	+	0.763506i	$0.276524\pi$
$948$	4.88071	+	15.9938i	0.158518	+	0.519454i
$949$	32.4530	+	18.7368i	1.05347	+	0.608221i
$950$	4.82014	−	0.719095i	0.156386	−	0.0233305i
$951$	−109.100			−3.53782
$952$	−10.9308	+	42.6072i	−0.354270	+	1.38091i
$953$	22.9343			0.742915			0.371458	−	0.928450i	$-0.378858\pi$
$953$	22.9343			0.742915			0.371458	+	0.928450i	$0.378858\pi$
$954$	−35.9577	+	5.36436i	−1.16417	+	0.173677i
$955$	3.47748	+	2.00772i	0.112528	+	0.0649683i
$956$	27.5315	−	8.40159i	0.890434	−	0.271727i
$957$	2.98061	−	1.72086i	0.0963495	−	0.0556274i
$958$	−27.9469	−	11.0170i	−0.902922	−	0.355942i
$959$	−33.2218	−	27.7228i	−1.07279	−	0.895214i
$960$	16.4125	−	20.2033i	0.529711	−	0.652058i
$961$	7.54418	+	13.0669i	0.243361	+	0.421513i
$962$	18.4381	−	14.6585i	0.594469	−	0.472610i
$963$	−46.8151	−	27.0287i	−1.50860	−	0.870988i
$964$	13.5564	−	58.5801i	0.436621	−	1.88674i
$965$			20.7878i			0.669184i
$966$	−0.250126	+	10.5430i	−0.00804768	+	0.339217i
$967$	−23.1646			−0.744925			−0.372462	−	0.928047i	$-0.621486\pi$
$967$	−23.1646			−0.744925			−0.372462	+	0.928047i	$0.621486\pi$
$968$	17.5945	−	25.5574i	0.565508	−	0.821447i
$969$	−32.9536	+	57.0774i	−1.05862	+	1.83359i
$970$	−2.47282	−	3.11042i	−0.0793974	−	0.0998695i
$971$	14.2138	−	8.20636i	0.456144	−	0.263355i	−0.254278	−	0.967131i	$-0.581838\pi$
$971$	14.2138	−	8.20636i	0.456144	−	0.263355i	0.710421	+	0.703777i	$0.248504\pi$
$972$	53.4500	−	57.2585i	1.71441	−	1.83657i
$973$	40.3475	+	7.00125i	1.29348	+	0.224450i
$974$	20.5122	+	8.08615i	0.657255	+	0.259097i
$975$	−5.34117	−	9.25117i	−0.171054	−	0.296275i
$976$	−8.45612	+	17.2920i	−0.270674	+	0.553503i
$977$	−1.55110	+	2.68658i	−0.0496241	+	0.0859515i	−0.889770	−	0.456408i	$-0.849136\pi$
$977$	−1.55110	+	2.68658i	−0.0496241	+	0.0859515i	0.840146	+	0.542360i	$0.182469\pi$
$978$	3.61860	+	24.2557i	0.115710	+	0.775613i
$979$		−	1.83800i		−	0.0587428i
$980$	−12.4427	+	6.41716i	−0.397466	+	0.204989i
$981$		−	39.7136i		−	1.26796i
$982$	39.3032	−	5.86346i	1.25422	−	0.187111i
$983$	−13.3566	+	23.1344i	−0.426011	+	0.737872i	−0.996514	−	0.0834228i	$-0.973415\pi$
$983$	−13.3566	+	23.1344i	−0.426011	+	0.737872i	0.570503	+	0.821295i	$0.306748\pi$
$984$	−4.46483	+	56.1712i	−0.142333	+	1.79067i
$985$	1.30666	+	2.26321i	0.0416338	+	0.0721118i
$986$	−18.6566	+	47.3264i	−0.594147	+	1.50718i
$987$	−56.4418	−	9.79400i	−1.79656	−	0.311746i
$988$	−16.5409	−	15.4407i	−0.526237	−	0.491235i
$989$	7.46748	−	4.31135i	0.237452	−	0.137093i
$990$	−1.45167	+	1.15410i	−0.0461371	+	0.0366796i
$991$	19.4775	−	33.7361i	0.618724	−	1.07166i	−0.370995	−	0.928635i	$-0.620983\pi$
$991$	19.4775	−	33.7361i	0.618724	−	1.07166i	0.989719	−	0.143027i	$-0.0456834\pi$
$992$	−22.0363	+	4.85530i	−0.699653	+	0.154156i
$993$	−66.1549			−2.09936
$994$	60.0107	+	1.42371i	1.90342	+	0.0451573i
$995$		−	16.6373i		−	0.527436i
$996$	14.3276	−	61.9128i	0.453987	−	1.96178i
$997$	−7.12525	−	4.11376i	−0.225659	−	0.130284i	0.382909	−	0.923786i	$-0.374922\pi$
$997$	−7.12525	−	4.11376i	−0.225659	−	0.130284i	−0.608568	+	0.793502i	$0.708256\pi$
$998$	1.52603	+	1.91951i	0.0483057	+	0.0607610i
$999$	−37.8546	−	65.5662i	−1.19767	−	2.07442i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.bl.b.221.14	yes	60
4.3	odd	2		1120.2.cb.b.81.1		60
7.2	even	3	inner	280.2.bl.b.261.6	yes	60
8.3	odd	2		1120.2.cb.b.81.30		60
8.5	even	2	inner	280.2.bl.b.221.6	✓	60
28.23	odd	6		1120.2.cb.b.401.30		60
56.37	even	6	inner	280.2.bl.b.261.14	yes	60
56.51	odd	6		1120.2.cb.b.401.1		60

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.bl.b.221.6	✓	60	8.5	even	2	inner
280.2.bl.b.221.14	yes	60	1.1	even	1	trivial
280.2.bl.b.261.6	yes	60	7.2	even	3	inner
280.2.bl.b.261.14	yes	60	56.37	even	6	inner
1120.2.cb.b.81.1		60	4.3	odd	2
1120.2.cb.b.81.30		60	8.3	odd	2
1120.2.cb.b.401.1		60	56.51	odd	6
1120.2.cb.b.401.30		60	28.23	odd	6

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	280.bl (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.208671 - 1.39873i) q^{2} +(2.81779 + 1.62685i) q^{3} +(-1.91291 + 0.583749i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(1.68754 - 4.28082i) q^{6} +(-0.452341 + 2.60680i) q^{7} +(1.21568 + 2.55385i) q^{8} +(3.79330 + 6.57019i) q^{9} +O(q^{10})\)	\(q+(-0.208671 - 1.39873i) q^{2} +(2.81779 + 1.62685i) q^{3} +(-1.91291 + 0.583749i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(1.68754 - 4.28082i) q^{6} +(-0.452341 + 2.60680i) q^{7} +(1.21568 + 2.55385i) q^{8} +(3.79330 + 6.57019i) q^{9} +(0.880081 + 1.10700i) q^{10} +(0.149693 + 0.0864255i) q^{11} +(-6.33986 - 1.46714i) q^{12} -3.28313i q^{13} +(3.74060 + 0.0887432i) q^{14} -3.25371 q^{15} +(3.31847 - 2.23332i) q^{16} +(2.93901 - 5.09051i) q^{17} +(8.39839 - 6.67682i) q^{18} +(-2.98439 + 1.72304i) q^{19} +(1.36476 - 1.46200i) q^{20} +(-5.51548 + 6.60952i) q^{21} +(0.0896497 - 0.227416i) q^{22} +(0.433128 + 0.750199i) q^{23} +(-0.729200 + 9.17393i) q^{24} +(0.500000 - 0.866025i) q^{25} +(-4.59222 + 0.685093i) q^{26} +14.9234i q^{27} +(-0.656426 - 5.25063i) q^{28} -6.11963i q^{29} +(0.678953 + 4.55107i) q^{30} +(1.99447 - 3.45452i) q^{31} +(-3.81629 - 4.17563i) q^{32} +(0.281203 + 0.487058i) q^{33} +(-7.73355 - 3.04865i) q^{34} +(-0.911659 - 2.48372i) q^{35} +(-11.0916 - 10.3539i) q^{36} +(-4.39350 + 2.53659i) q^{37} +(3.03282 + 3.81482i) q^{38} +(5.34117 - 9.25117i) q^{39} +(-2.32973 - 1.60386i) q^{40} +6.12291 q^{41} +(10.3959 + 6.33547i) q^{42} -9.95400i q^{43} +(-0.336801 - 0.0779410i) q^{44} +(-6.57019 - 3.79330i) q^{45} +(0.958948 - 0.762375i) q^{46} +(3.32725 + 5.76297i) q^{47} +(12.9841 - 0.894374i) q^{48} +(-6.59077 - 2.35832i) q^{49} +(-1.31567 - 0.518653i) q^{50} +(16.5630 - 9.56266i) q^{51} +(1.91652 + 6.28034i) q^{52} +(-2.93454 - 1.69426i) q^{53} +(20.8739 - 3.11408i) q^{54} -0.172851 q^{55} +(-7.20726 + 2.01382i) q^{56} -11.2125 q^{57} +(-8.55973 + 1.27699i) q^{58} +(-0.243731 - 0.140718i) q^{59} +(6.22406 - 1.89935i) q^{60} +(-4.16750 + 2.40611i) q^{61} +(-5.24815 - 2.06887i) q^{62} +(-18.8430 + 6.91639i) q^{63} +(-5.04425 + 6.20931i) q^{64} +(1.64156 + 2.84327i) q^{65} +(0.622586 - 0.494963i) q^{66} +(-5.41241 - 3.12485i) q^{67} +(-2.65048 + 11.4533i) q^{68} +2.81854i q^{69} +(-3.28383 + 1.79345i) q^{70} +16.0430 q^{71} +(-12.1678 + 17.6747i) q^{72} +(-5.70699 + 9.88479i) q^{73} +(4.46481 + 5.61603i) q^{74} +(2.81779 - 1.62685i) q^{75} +(4.70305 - 5.03816i) q^{76} +(-0.293006 + 0.351126i) q^{77} +(-14.0545 - 5.54042i) q^{78} +(-1.28484 - 2.22540i) q^{79} +(-1.75722 + 3.59335i) q^{80} +(-12.8983 + 22.3406i) q^{81} +(-1.27767 - 8.56432i) q^{82} +9.76563i q^{83} +(6.69233 - 15.8631i) q^{84} +5.87801i q^{85} +(-13.9230 + 2.07711i) q^{86} +(9.95573 - 17.2438i) q^{87} +(-0.0387383 + 0.487359i) q^{88} +(-5.31672 - 9.20883i) q^{89} +(-3.93481 + 9.98150i) q^{90} +(8.55845 + 1.48509i) q^{91} +(-1.26646 - 1.18223i) q^{92} +(11.2400 - 6.48942i) q^{93} +(7.36656 - 5.85650i) q^{94} +(1.72304 - 2.98439i) q^{95} +(-3.96038 - 17.9746i) q^{96} -2.80976 q^{97} +(-1.92337 + 9.71085i) q^{98} +1.31135i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 60 q + 4 q^{2} - 2 q^{4} + 8 q^{7} + 4 q^{8} + 38 q^{9}+O(q^{10}) \) 60 * q + 4 * q^2 - 2 * q^4 + 8 * q^7 + 4 * q^8 + 38 * q^9	\( 60 q + 4 q^{2} - 2 q^{4} + 8 q^{7} + 4 q^{8} + 38 q^{9} + 2 q^{10} - 10 q^{12} + 20 q^{14} - 22 q^{16} - 12 q^{17} + 6 q^{18} - 16 q^{20} - 28 q^{22} - 2 q^{23} - 32 q^{24} + 30 q^{25} - 4 q^{26} - 22 q^{28} - 6 q^{32} - 16 q^{34} + 20 q^{36} - 42 q^{38} + 4 q^{40} - 36 q^{41} - 62 q^{42} + 14 q^{44} + 28 q^{46} - 30 q^{47} + 124 q^{48} + 12 q^{49} + 8 q^{50} + 8 q^{52} - 40 q^{54} - 44 q^{55} + 8 q^{56} - 32 q^{57} - 14 q^{58} + 14 q^{60} - 16 q^{62} - 74 q^{63} + 4 q^{64} + 2 q^{65} + 60 q^{66} + 28 q^{68} + 10 q^{70} - 8 q^{71} - 72 q^{72} - 52 q^{74} - 12 q^{76} - 40 q^{78} + 32 q^{79} - 22 q^{81} - 16 q^{82} - 8 q^{84} - 44 q^{86} + 48 q^{87} - 16 q^{88} + 4 q^{89} - 48 q^{90} + 84 q^{92} - 56 q^{94} + 2 q^{95} - 16 q^{96} - 96 q^{97} - 80 q^{98}+O(q^{100}) \) 60 * q + 4 * q^2 - 2 * q^4 + 8 * q^7 + 4 * q^8 + 38 * q^9 + 2 * q^10 - 10 * q^12 + 20 * q^14 - 22 * q^16 - 12 * q^17 + 6 * q^18 - 16 * q^20 - 28 * q^22 - 2 * q^23 - 32 * q^24 + 30 * q^25 - 4 * q^26 - 22 * q^28 - 6 * q^32 - 16 * q^34 + 20 * q^36 - 42 * q^38 + 4 * q^40 - 36 * q^41 - 62 * q^42 + 14 * q^44 + 28 * q^46 - 30 * q^47 + 124 * q^48 + 12 * q^49 + 8 * q^50 + 8 * q^52 - 40 * q^54 - 44 * q^55 + 8 * q^56 - 32 * q^57 - 14 * q^58 + 14 * q^60 - 16 * q^62 - 74 * q^63 + 4 * q^64 + 2 * q^65 + 60 * q^66 + 28 * q^68 + 10 * q^70 - 8 * q^71 - 72 * q^72 - 52 * q^74 - 12 * q^76 - 40 * q^78 + 32 * q^79 - 22 * q^81 - 16 * q^82 - 8 * q^84 - 44 * q^86 + 48 * q^87 - 16 * q^88 + 4 * q^89 - 48 * q^90 + 84 * q^92 - 56 * q^94 + 2 * q^95 - 16 * q^96 - 96 * q^97 - 80 * q^98

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