LMFDB - Embedded newform 287.2.n.a.64.9

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [287,2,Mod(64,287)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(287, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([0, 9]))

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

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

chi := DirichletCharacter("287.64");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 287 = 7 \cdot 41 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	287.n (of order $10$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.29170653801$
Analytic rank:	$0$
Dimension:	$88$
Relative dimension:	$22$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			64.9
Character	$\chi$	$=$	287.64
Dual form			287.2.n.a.148.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.250116 - 0.769777i) q^{2} +0.394533i q^{3} +(1.08803 - 0.790504i) q^{4} +(2.74556 - 1.99477i) q^{5} +(0.303703 - 0.0986791i) q^{6} +(0.951057 + 0.309017i) q^{7} +(-2.19027 - 1.59132i) q^{8} +2.84434 q^{9} +O(q^{10})$	\(q+(-0.250116 - 0.769777i) q^{2} +0.394533i q^{3} +(1.08803 - 0.790504i) q^{4} +(2.74556 - 1.99477i) q^{5} +(0.303703 - 0.0986791i) q^{6} +(0.951057 + 0.309017i) q^{7} +(-2.19027 - 1.59132i) q^{8} +2.84434 q^{9} +(-2.22224 - 1.61455i) q^{10} +(-3.32015 + 4.56979i) q^{11} +(0.311880 + 0.429266i) q^{12} +(-5.05187 + 1.64145i) q^{13} -0.809392i q^{14} +(0.787002 + 1.08322i) q^{15} +(0.154040 - 0.474088i) q^{16} +(2.19595 - 3.02246i) q^{17} +(-0.711415 - 2.18951i) q^{18} +(1.44836 + 0.470600i) q^{19} +(1.41040 - 4.34075i) q^{20} +(-0.121918 + 0.375224i) q^{21} +(4.34814 + 1.41280i) q^{22} +(0.112404 + 0.345944i) q^{23} +(0.627831 - 0.864135i) q^{24} +(2.01393 - 6.19823i) q^{25} +(2.52710 + 3.47826i) q^{26} +2.30579i q^{27} +(1.27906 - 0.415592i) q^{28} +(-5.59494 - 7.70078i) q^{29} +(0.636993 - 0.876746i) q^{30} +(6.66295 + 4.84092i) q^{31} -5.81811 q^{32} +(-1.80293 - 1.30991i) q^{33} +(-2.87587 - 0.934425i) q^{34} +(3.22760 - 1.04871i) q^{35} +(3.09474 - 2.24846i) q^{36} +(-8.19121 + 5.95126i) q^{37} -1.23262i q^{38} +(-0.647607 - 1.99313i) q^{39} -9.18784 q^{40} +(1.68688 + 6.17693i) q^{41} +0.319332 q^{42} +(0.351731 + 1.08252i) q^{43} +7.59668i q^{44} +(7.80932 - 5.67380i) q^{45} +(0.238186 - 0.173052i) q^{46} +(2.65628 - 0.863078i) q^{47} +(0.187043 + 0.0607741i) q^{48} +(0.809017 + 0.587785i) q^{49} -5.27497 q^{50} +(1.19246 + 0.866375i) q^{51} +(-4.19903 + 5.77947i) q^{52} +(-2.46039 - 3.38644i) q^{53} +(1.77494 - 0.576714i) q^{54} +19.1696i q^{55} +(-1.59132 - 2.19027i) q^{56} +(-0.185668 + 0.571426i) q^{57} +(-4.52850 + 6.23294i) q^{58} +(-3.72094 - 11.4519i) q^{59} +(1.71257 + 0.556448i) q^{60} +(-0.436828 + 1.34442i) q^{61} +(2.05992 - 6.33978i) q^{62} +(2.70513 + 0.878950i) q^{63} +(1.14712 + 3.53048i) q^{64} +(-10.5959 + 14.5840i) q^{65} +(-0.557395 + 1.71549i) q^{66} +(0.826151 + 1.13710i) q^{67} -5.02445i q^{68} +(-0.136487 + 0.0443472i) q^{69} +(-1.61455 - 2.22224i) q^{70} +(-5.41411 + 7.45189i) q^{71} +(-6.22988 - 4.52627i) q^{72} -0.575197 q^{73} +(6.62990 + 4.81690i) q^{74} +(2.44541 + 0.794562i) q^{75} +(1.94788 - 0.632903i) q^{76} +(-4.56979 + 3.32015i) q^{77} +(-1.37229 + 0.997027i) q^{78} +11.6018i q^{79} +(-0.522767 - 1.60891i) q^{80} +7.62332 q^{81} +(4.33294 - 2.84347i) q^{82} +1.81652 q^{83} +(0.163965 + 0.504633i) q^{84} -12.6788i q^{85} +(0.745322 - 0.541508i) q^{86} +(3.03821 - 2.20739i) q^{87} +(14.5440 - 4.72564i) q^{88} +(16.6056 + 5.39549i) q^{89} +(-6.32080 - 4.59233i) q^{90} -5.31185 q^{91} +(0.395770 + 0.287543i) q^{92} +(-1.90990 + 2.62876i) q^{93} +(-1.32876 - 1.82888i) q^{94} +(4.91530 - 1.59708i) q^{95} -2.29544i q^{96} +(-0.807059 - 1.11082i) q^{97} +(0.250116 - 0.769777i) q^{98} +(-9.44364 + 12.9980i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 88 q - 24 q^{4} + 8 q^{5} + 10 q^{6} - 18 q^{8} - 116 q^{9}+O(q^{10}) $ 88 * q - 24 * q^4 + 8 * q^5 + 10 * q^6 - 18 * q^8 - 116 * q^9	$ 88 q - 24 q^{4} + 8 q^{5} + 10 q^{6} - 18 q^{8} - 116 q^{9} + 36 q^{10} - 10 q^{11} + 20 q^{15} - 12 q^{16} - 10 q^{17} + 20 q^{18} + 30 q^{19} - 30 q^{20} + 4 q^{21} - 20 q^{22} - 12 q^{23} + 60 q^{24} - 50 q^{25} - 30 q^{26} + 2 q^{31} + 24 q^{32} - 46 q^{33} + 50 q^{34} + 86 q^{36} - 48 q^{37} + 16 q^{39} - 60 q^{40} - 24 q^{41} - 4 q^{42} + 22 q^{43} - 16 q^{45} + 20 q^{46} + 20 q^{48} + 22 q^{49} - 16 q^{50} + 8 q^{51} + 70 q^{52} - 30 q^{54} + 8 q^{57} - 90 q^{58} - 4 q^{59} - 50 q^{60} - 64 q^{61} - 44 q^{62} + 14 q^{64} + 80 q^{65} - 26 q^{66} + 10 q^{67} + 40 q^{71} + 18 q^{72} + 124 q^{73} + 80 q^{74} + 70 q^{75} - 190 q^{76} + 8 q^{77} + 74 q^{78} + 26 q^{80} + 144 q^{81} - 58 q^{82} - 60 q^{83} + 26 q^{84} + 10 q^{86} + 8 q^{87} + 160 q^{88} - 164 q^{90} - 40 q^{91} - 156 q^{92} - 20 q^{93} + 10 q^{94} + 80 q^{95} - 90 q^{97} - 40 q^{99}+O(q^{100}) $ 88 * q - 24 * q^4 + 8 * q^5 + 10 * q^6 - 18 * q^8 - 116 * q^9 + 36 * q^10 - 10 * q^11 + 20 * q^15 - 12 * q^16 - 10 * q^17 + 20 * q^18 + 30 * q^19 - 30 * q^20 + 4 * q^21 - 20 * q^22 - 12 * q^23 + 60 * q^24 - 50 * q^25 - 30 * q^26 + 2 * q^31 + 24 * q^32 - 46 * q^33 + 50 * q^34 + 86 * q^36 - 48 * q^37 + 16 * q^39 - 60 * q^40 - 24 * q^41 - 4 * q^42 + 22 * q^43 - 16 * q^45 + 20 * q^46 + 20 * q^48 + 22 * q^49 - 16 * q^50 + 8 * q^51 + 70 * q^52 - 30 * q^54 + 8 * q^57 - 90 * q^58 - 4 * q^59 - 50 * q^60 - 64 * q^61 - 44 * q^62 + 14 * q^64 + 80 * q^65 - 26 * q^66 + 10 * q^67 + 40 * q^71 + 18 * q^72 + 124 * q^73 + 80 * q^74 + 70 * q^75 - 190 * q^76 + 8 * q^77 + 74 * q^78 + 26 * q^80 + 144 * q^81 - 58 * q^82 - 60 * q^83 + 26 * q^84 + 10 * q^86 + 8 * q^87 + 160 * q^88 - 164 * q^90 - 40 * q^91 - 156 * q^92 - 20 * q^93 + 10 * q^94 + 80 * q^95 - 90 * q^97 - 40 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/287\mathbb{Z}\right)^\times$.

$n$	$206$	$211$
$\chi(n)$	$1$	$e\left(\frac{9}{10}\right)$

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 $

$2$	−0.250116	−	0.769777i	−0.176859	−	0.544315i	0.822855	−	0.568252i	$-0.192380\pi$
$2$	−0.250116	−	0.769777i	−0.176859	−	0.544315i	−0.999713	+	0.0239368i	$0.992380\pi$
$3$			0.394533i			0.227784i	0.993493	+	0.113892i	$0.0363318\pi$
$3$			0.394533i			0.227784i	−0.993493	+	0.113892i	$0.963668\pi$
$4$	1.08803	−	0.790504i	0.544017	−	0.395252i
$5$	2.74556	−	1.99477i	1.22785	−	0.892087i	0.231125	−	0.972924i	$-0.425759\pi$
$5$	2.74556	−	1.99477i	1.22785	−	0.892087i	0.996727	+	0.0808369i	$0.0257593\pi$
$6$	0.303703	−	0.0986791i	0.123986	−	0.0402856i
$7$	0.951057	+	0.309017i	0.359466	+	0.116797i
$7$	0.951057	+	0.309017i	0.359466	+	0.116797i
$8$	−2.19027	−	1.59132i	−0.774377	−	0.562618i
$9$	2.84434			0.948114
$10$	−2.22224	−	1.61455i	−0.702732	−	0.510565i
$11$	−3.32015	+	4.56979i	−1.00106	+	1.37784i	−0.0763899	+	0.997078i	$0.524339\pi$
$11$	−3.32015	+	4.56979i	−1.00106	+	1.37784i	−0.924672	+	0.380765i	$0.875661\pi$
$12$	0.311880	+	0.429266i	0.0900320	+	0.123918i
$13$	−5.05187	+	1.64145i	−1.40114	+	0.455257i	−0.909558	−	0.415577i	$-0.863580\pi$
$13$	−5.05187	+	1.64145i	−1.40114	+	0.455257i	−0.491578	+	0.870834i	$0.663580\pi$
$14$		−	0.809392i		−	0.216319i
$15$	0.787002	+	1.08322i	0.203203	+	0.279685i
$16$	0.154040	−	0.474088i	0.0385101	−	0.118522i
$17$	2.19595	−	3.02246i	0.532596	−	0.733055i	−0.454927	−	0.890528i	$-0.650335\pi$
$17$	2.19595	−	3.02246i	0.532596	−	0.733055i	0.987523	+	0.157473i	$0.0503348\pi$
$18$	−0.711415	−	2.18951i	−0.167682	−	0.516073i
$19$	1.44836	+	0.470600i	0.332276	+	0.107963i	0.470404	−	0.882451i	$-0.344108\pi$
$19$	1.44836	+	0.470600i	0.332276	+	0.107963i	−0.138127	+	0.990414i	$0.544108\pi$
$20$	1.41040	−	4.34075i	0.315374	−	0.970622i
$21$	−0.121918	+	0.375224i	−0.0266046	+	0.0818805i
$22$	4.34814	+	1.41280i	0.927027	+	0.301209i
$23$	0.112404	+	0.345944i	0.0234379	+	0.0721343i	0.962091	−	0.272728i	$-0.0879258\pi$
$23$	0.112404	+	0.345944i	0.0234379	+	0.0721343i	−0.938653	+	0.344862i	$0.887926\pi$
$24$	0.627831	−	0.864135i	0.128155	−	0.176391i
$25$	2.01393	−	6.19823i	0.402785	−	1.23965i
$26$	2.52710	+	3.47826i	0.495606	+	0.682143i
$27$			2.30579i			0.443749i
$28$	1.27906	−	0.415592i	0.241720	−	0.0785396i
$29$	−5.59494	−	7.70078i	−1.03895	−	1.43000i	−0.898007	−	0.439981i	$-0.854985\pi$
$29$	−5.59494	−	7.70078i	−1.03895	−	1.43000i	−0.140947	−	0.990017i	$-0.545015\pi$
$30$	0.636993	−	0.876746i	0.116299	−	0.160071i
$31$	6.66295	+	4.84092i	1.19670	+	0.869455i	0.993956	−	0.109777i	$-0.0350136\pi$
$31$	6.66295	+	4.84092i	1.19670	+	0.869455i	0.202746	+	0.979231i	$0.435014\pi$
$32$	−5.81811			−1.02851
$33$	−1.80293	−	1.30991i	−0.313851	−	0.228026i
$34$	−2.87587	−	0.934425i	−0.493207	−	0.160253i
$35$	3.22760	−	1.04871i	0.545564	−	0.177265i
$36$	3.09474	−	2.24846i	0.515791	−	0.374744i
$37$	−8.19121	+	5.95126i	−1.34663	+	0.978381i	−0.347454	+	0.937697i	$0.612954\pi$
$37$	−8.19121	+	5.95126i	−1.34663	+	0.978381i	−0.999172	+	0.0406841i	$0.987046\pi$
$38$		−	1.23262i		−	0.199957i
$39$	−0.647607	−	1.99313i	−0.103700	−	0.319156i
$40$	−9.18784			−1.45273
$41$	1.68688	+	6.17693i	0.263446	+	0.964674i
$41$	1.68688	+	6.17693i	0.263446	+	0.964674i
$42$	0.319332			0.0492740
$43$	0.351731	+	1.08252i	0.0536384	+	0.165082i	0.974287	−	0.225310i	$-0.0723395\pi$
$43$	0.351731	+	1.08252i	0.0536384	+	0.165082i	−0.920649	+	0.390392i	$0.872339\pi$
$44$			7.59668i			1.14524i
$45$	7.80932	−	5.67380i	1.16414	−	0.845801i
$46$	0.238186	−	0.173052i	0.0351186	−	0.0255152i
$47$	2.65628	−	0.863078i	0.387459	−	0.125893i	−0.108809	−	0.994063i	$-0.534704\pi$
$47$	2.65628	−	0.863078i	0.387459	−	0.125893i	0.496267	+	0.868170i	$0.334704\pi$
$48$	0.187043	+	0.0607741i	0.0269974	+	0.00877199i
$49$	0.809017	+	0.587785i	0.115574	+	0.0839693i
$50$	−5.27497			−0.745994
$51$	1.19246	+	0.866375i	0.166978	+	0.121317i
$52$	−4.19903	+	5.77947i	−0.582301	+	0.801469i
$53$	−2.46039	−	3.38644i	−0.337961	−	0.465163i	0.605884	−	0.795553i	$-0.292820\pi$
$53$	−2.46039	−	3.38644i	−0.337961	−	0.465163i	−0.943844	+	0.330390i	$0.892820\pi$
$54$	1.77494	−	0.576714i	0.241539	−	0.0784809i
$55$			19.1696i			2.58482i
$56$	−1.59132	−	2.19027i	−0.212650	−	0.292687i
$57$	−0.185668	+	0.571426i	−0.0245923	+	0.0756872i
$58$	−4.52850	+	6.23294i	−0.594621	+	0.818426i
$59$	−3.72094	−	11.4519i	−0.484425	−	1.49091i	−0.832813	−	0.553555i	$-0.813271\pi$
$59$	−3.72094	−	11.4519i	−0.484425	−	1.49091i	0.348388	−	0.937350i	$-0.386729\pi$
$60$	1.71257	+	0.556448i	0.221092	+	0.0718372i
$61$	−0.436828	+	1.34442i	−0.0559301	+	0.172135i	−0.975119	−	0.221681i	$-0.928845\pi$
$61$	−0.436828	+	1.34442i	−0.0559301	+	0.172135i	0.919189	+	0.393817i	$0.128845\pi$
$62$	2.05992	−	6.33978i	0.261610	−	0.805153i
$63$	2.70513	+	0.878950i	0.340815	+	0.110737i
$64$	1.14712	+	3.53048i	0.143390	+	0.441310i
$65$	−10.5959	+	14.5840i	−1.31426	+	1.80892i
$66$	−0.557395	+	1.71549i	−0.0686106	+	0.211162i
$67$	0.826151	+	1.13710i	0.100930	+	0.138919i	0.856495	−	0.516155i	$-0.172637\pi$
$67$	0.826151	+	1.13710i	0.100930	+	0.138919i	−0.755565	+	0.655074i	$0.772637\pi$
$68$		−	5.02445i		−	0.609304i
$69$	−0.136487	+	0.0443472i	−0.0164310	+	0.00533877i
$70$	−1.61455	−	2.22224i	−0.192975	−	0.265608i
$71$	−5.41411	+	7.45189i	−0.642537	+	0.884376i	−0.998748	−	0.0500295i	$-0.984068\pi$
$71$	−5.41411	+	7.45189i	−0.642537	+	0.884376i	0.356211	+	0.934406i	$0.384068\pi$
$72$	−6.22988	−	4.52627i	−0.734198	−	0.533426i
$73$	−0.575197			−0.0673217			−0.0336608	−	0.999433i	$-0.510717\pi$
$73$	−0.575197			−0.0673217			−0.0336608	+	0.999433i	$0.510717\pi$
$74$	6.62990	+	4.81690i	0.770710	+	0.559953i
$75$	2.44541	+	0.794562i	0.282372	+	0.0917481i
$76$	1.94788	−	0.632903i	0.223437	−	0.0725990i
$77$	−4.56979	+	3.32015i	−0.520776	+	0.378366i
$78$	−1.37229	+	0.997027i	−0.155381	+	0.112891i
$79$			11.6018i			1.30531i	0.757656	+	0.652654i	$0.226344\pi$
$79$			11.6018i			1.30531i	−0.757656	+	0.652654i	$0.773656\pi$
$80$	−0.522767	−	1.60891i	−0.0584472	−	0.179882i
$81$	7.62332			0.847035
$82$	4.33294	−	2.84347i	0.478494	−	0.314008i
$83$	1.81652			0.199389			0.0996945	−	0.995018i	$-0.468213\pi$
$83$	1.81652			0.199389			0.0996945	+	0.995018i	$0.468213\pi$
$84$	0.163965	+	0.504633i	0.0178901	+	0.0550599i
$85$		−	12.6788i		−	1.37521i
$86$	0.745322	−	0.541508i	0.0803702	−	0.0583924i
$87$	3.03821	−	2.20739i	0.325731	−	0.236657i
$88$	14.5440	−	4.72564i	1.55040	−	0.503755i
$89$	16.6056	+	5.39549i	1.76019	+	0.571921i	0.997220	−	0.0745107i	$-0.0237395\pi$
$89$	16.6056	+	5.39549i	1.76019	+	0.571921i	0.762972	+	0.646432i	$0.223739\pi$
$90$	−6.32080	−	4.59233i	−0.666271	−	0.484074i
$91$	−5.31185			−0.556833
$92$	0.395770	+	0.287543i	0.0412618	+	0.0299785i
$93$	−1.90990	+	2.62876i	−0.198048	+	0.272590i
$94$	−1.32876	−	1.82888i	−0.137051	−	0.188634i
$95$	4.91530	−	1.59708i	0.504299	−	0.163857i
$96$		−	2.29544i		−	0.234277i
$97$	−0.807059	−	1.11082i	−0.0819444	−	0.112787i	0.766077	−	0.642749i	$-0.222206\pi$
$97$	−0.807059	−	1.11082i	−0.0819444	−	0.112787i	−0.848021	+	0.529962i	$0.822206\pi$
$98$	0.250116	−	0.769777i	0.0252655	−	0.0777593i
$99$	−9.44364	+	12.9980i	−0.949121	+	1.30635i
$100$	−2.70850	−	8.33591i	−0.270850	−	0.833591i
$101$	−0.293589	−	0.0953930i	−0.0292132	−	0.00949196i	0.294374	−	0.955690i	$-0.404889\pi$
$101$	−0.293589	−	0.0953930i	−0.0292132	−	0.00949196i	−0.323587	+	0.946198i	$0.604889\pi$
$102$	0.368662	−	1.13463i	0.0365030	−	0.112345i
$103$	0.782789	−	2.40918i	0.0771305	−	0.237383i	−0.905056	−	0.425293i	$-0.860171\pi$
$103$	0.782789	−	2.40918i	0.0771305	−	0.237383i	0.982186	+	0.187909i	$0.0601712\pi$
$104$	13.6770	+	4.44394i	1.34114	+	0.435764i
$105$	0.413752	+	1.27340i	0.0403780	+	0.124271i
$106$	−1.99142	+	2.74096i	−0.193424	+	0.266225i
$107$	2.73409	−	8.41466i	0.264314	−	0.813476i	−0.727536	−	0.686069i	$-0.759335\pi$
$107$	2.73409	−	8.41466i	0.264314	−	0.813476i	0.991851	−	0.127407i	$-0.0406653\pi$
$108$	1.82273	+	2.50878i	0.175393	+	0.241407i
$109$			12.0708i			1.15617i	0.815975	+	0.578087i	$0.196201\pi$
$109$			12.0708i			1.15617i	−0.815975	+	0.578087i	$0.803799\pi$
$110$	14.7563	−	4.79461i	1.40696	−	0.457148i
$111$	−2.34797	−	3.23170i	−0.222860	−	0.306740i
$112$	0.293002	−	0.403283i	0.0276861	−	0.0381067i
$113$	−5.81871	−	4.22754i	−0.547378	−	0.397694i	0.279440	−	0.960163i	$-0.409851\pi$
$113$	−5.81871	−	4.22754i	−0.547378	−	0.397694i	−0.826818	+	0.562470i	$0.809851\pi$
$114$	0.486309			0.0455470
$115$	0.998690	+	0.725591i	0.0931283	+	0.0676617i
$116$	−12.1750	−	3.95589i	−1.13042	−	0.367295i
$117$	−14.3692	+	4.66885i	−1.32844	+	0.431635i
$118$	−7.88472	+	5.72858i	−0.725847	+	0.527359i
$119$	3.02246	−	2.19595i	0.277069	−	0.201302i
$120$		−	3.62491i		−	0.330908i
$121$	−6.46041	−	19.8831i	−0.587310	−	1.80756i
$122$	1.14416			0.103587
$123$	−2.43700	+	0.665529i	−0.219737	+	0.0600088i
$124$	11.0763			0.994680
$125$	−1.59111	−	4.89694i	−0.142313	−	0.437995i
$126$		−	2.30219i		−	0.205095i
$127$	−10.1466	+	7.37197i	−0.900369	+	0.654157i	−0.938561	−	0.345114i	$-0.887840\pi$
$127$	−10.1466	+	7.37197i	−0.900369	+	0.654157i	0.0381915	+	0.999270i	$0.487840\pi$
$128$	−6.98314	+	5.07355i	−0.617228	+	0.448442i
$129$	−0.427089	+	0.138769i	−0.0376030	+	0.0122180i
$130$	13.8766	+	4.50879i	1.21706	+	0.395447i
$131$	−9.08882	−	6.60342i	−0.794094	−	0.576943i	0.115081	−	0.993356i	$-0.463287\pi$
$131$	−9.08882	−	6.60342i	−0.794094	−	0.576943i	−0.909176	+	0.416413i	$0.863287\pi$
$132$	−2.99714			−0.260868
$133$	1.23205	+	0.895135i	0.106832	+	0.0776180i
$134$	0.668680	−	0.920358i	0.0577651	−	0.0795069i
$135$	4.59951	+	6.33069i	0.395863	+	0.544859i
$136$	−9.61944	+	3.12555i	−0.824860	+	0.268013i
$137$		−	16.5099i		−	1.41053i	−0.708942	−	0.705266i	$-0.750827\pi$
$137$		−	16.5099i		−	1.41053i	0.708942	−	0.705266i	$-0.249173\pi$
$138$	0.0682749	+	0.0939723i	0.00581194	+	0.00799945i
$139$	1.93632	−	5.95937i	0.164236	−	0.505467i	−0.834743	−	0.550640i	$-0.814384\pi$
$139$	1.93632	−	5.95937i	0.164236	−	0.505467i	0.998979	+	0.0451728i	$0.0143838\pi$
$140$	2.68273	−	3.69246i	0.226732	−	0.312070i
$141$	0.340513	+	1.04799i	0.0286764	+	0.0882569i
$142$	7.09045	+	2.30383i	0.595017	+	0.193333i
$143$	9.27185	−	28.5358i	0.775351	−	2.38629i
$144$	0.438144	−	1.34847i	0.0365120	−	0.112372i
$145$	−30.7225	−	9.98235i	−2.55137	−	0.828989i
$146$	0.143866	+	0.442773i	0.0119064	+	0.0366442i
$147$	−0.231901	+	0.319184i	−0.0191269	+	0.0263259i
$148$	−4.20783	+	12.9504i	−0.345881	+	1.06451i
$149$	3.34827	+	4.60850i	0.274301	+	0.377543i	0.923836	−	0.382789i	$-0.125036\pi$
$149$	3.34827	+	4.60850i	0.274301	+	0.377543i	−0.649535	+	0.760332i	$0.725036\pi$
$150$		−	2.08115i		−	0.169925i
$151$	0.927123	−	0.301241i	0.0754482	−	0.0245146i	−0.271050	−	0.962565i	$-0.587371\pi$
$151$	0.927123	−	0.301241i	0.0754482	−	0.0245146i	0.346498	+	0.938051i	$0.387371\pi$
$152$	−2.42342	−	3.33555i	−0.196565	−	0.270549i
$153$	6.24603	−	8.59693i	0.504962	−	0.695020i
$154$	3.69875	+	2.68730i	0.298054	+	0.216549i
$155$	27.9501			2.24500
$156$	−2.28020	−	1.65666i	−0.182562	−	0.132639i
$157$	10.6710	+	3.46723i	0.851642	+	0.276715i	0.702133	−	0.712045i	$-0.252231\pi$
$157$	10.6710	+	3.46723i	0.851642	+	0.276715i	0.149508	+	0.988760i	$0.452231\pi$
$158$	8.93082	−	2.90180i	0.710498	−	0.230855i
$159$	1.33606	−	0.970707i	0.105957	−	0.0769821i
$160$	−15.9740	+	11.6058i	−1.26286	+	0.917518i
$161$			0.363747i			0.0286673i
$162$	−1.90671	−	5.86826i	−0.149806	−	0.461054i
$163$	−2.90027			−0.227166			−0.113583	−	0.993528i	$-0.536233\pi$
$163$	−2.90027			−0.227166			−0.113583	+	0.993528i	$0.536233\pi$
$164$	6.71826	+	5.38723i	0.524608	+	0.420672i
$165$	−7.56303			−0.588781
$166$	−0.454341	−	1.39832i	−0.0352637	−	0.108530i
$167$		−	1.87859i		−	0.145370i	−0.997355	−	0.0726848i	$-0.976843\pi$
$167$		−	1.87859i		−	0.145370i	0.997355	−	0.0726848i	$-0.0231567\pi$
$168$	0.864135	−	0.627831i	0.0666694	−	0.0484382i
$169$	12.3098	−	8.94357i	0.946906	−	0.687967i
$170$	−9.75983	+	3.17116i	−0.748545	+	0.243217i
$171$	4.11963	+	1.33855i	0.315036	+	0.102361i
$172$	1.23843	+	0.899770i	0.0944292	+	0.0686068i
$173$	13.7061			1.04206			0.521029	−	0.853539i	$-0.325548\pi$
$173$	13.7061			1.04206			0.521029	+	0.853539i	$0.325548\pi$
$174$	−2.45911	−	1.78664i	−0.186424	−	0.135445i
$175$	3.83072	−	5.27253i	0.289575	−	0.398566i
$176$	1.65504	+	2.27797i	0.124754	+	0.171709i
$177$	4.51814	−	1.46803i	0.339604	−	0.110344i
$178$		−	14.1321i		−	1.05925i
$179$	−2.69102	−	3.70388i	−0.201137	−	0.276841i	0.696519	−	0.717538i	$-0.254731\pi$
$179$	−2.69102	−	3.70388i	−0.201137	−	0.276841i	−0.897656	+	0.440697i	$0.854731\pi$
$180$	4.01165	−	12.3466i	0.299011	−	0.920261i
$181$	−1.71336	+	2.35824i	−0.127353	+	0.175286i	−0.867932	−	0.496683i	$-0.834551\pi$
$181$	−1.71336	+	2.35824i	−0.127353	+	0.175286i	0.740579	+	0.671969i	$0.234551\pi$
$182$	1.32858	+	4.08894i	0.0984807	+	0.303092i
$183$	−0.530418	−	0.172343i	−0.0392096	−	0.0127400i
$184$	0.304314	−	0.936582i	0.0224343	−	0.0690458i
$185$	−10.6181	+	32.6791i	−0.780657	+	2.40262i
$186$	2.50126	+	0.812707i	0.183401	+	0.0595906i
$187$	6.52115	+	20.0700i	0.476874	+	1.46767i
$188$	2.20786	−	3.03886i	0.161025	−	0.221632i
$189$	−0.712528	+	2.19294i	−0.0518288	+	0.159513i
$190$	−2.45879	−	3.38423i	−0.178379	−	0.245518i
$191$		−	17.2074i		−	1.24508i	−0.782586	−	0.622542i	$-0.786100\pi$
$191$		−	17.2074i		−	1.24508i	0.782586	−	0.622542i	$-0.213900\pi$
$192$	−1.39289	+	0.452578i	−0.100523	+	0.0326620i
$193$	−11.1212	−	15.3071i	−0.800523	−	1.10183i	−0.992717	−	0.120469i	$-0.961560\pi$
$193$	−11.1212	−	15.3071i	−0.800523	−	1.10183i	0.192194	−	0.981357i	$-0.438440\pi$
$194$	−0.653227	+	0.899089i	−0.0468989	+	0.0645509i
$195$	−5.75388	−	4.18044i	−0.412044	−	0.299367i
$196$	1.34488			0.0960632
$197$	3.80297	+	2.76302i	0.270951	+	0.196857i	0.714961	−	0.699165i	$-0.246445\pi$
$197$	3.80297	+	2.76302i	0.270951	+	0.196857i	−0.444010	+	0.896022i	$0.646445\pi$
$198$	12.3676	+	4.01848i	0.878927	+	0.285581i
$199$	−6.61622	+	2.14974i	−0.469011	+	0.152391i	−0.533982	−	0.845496i	$-0.679305\pi$
$199$	−6.61622	+	2.14974i	−0.469011	+	0.152391i	0.0649701	+	0.997887i	$0.479305\pi$
$200$	−14.2744	+	10.3710i	−1.00936	+	0.733340i
$201$	−0.448623	+	0.325944i	−0.0316435	+	0.0229903i
$202$			0.249858i			0.0175799i
$203$	−2.94143	−	9.05280i	−0.206448	−	0.635382i
$204$	1.98231			0.138790
$205$	16.9530	+	13.5942i	1.18405	+	0.949461i
$206$	−2.05032			−0.142852
$207$	0.319716	+	0.983984i	0.0222218	+	0.0683916i
$208$			2.64788i			0.183597i
$209$	−6.95931	+	5.05623i	−0.481385	+	0.349747i
$210$	0.876746	−	0.636993i	0.0605012	−	0.0439567i
$211$	13.9774	−	4.54154i	0.962246	−	0.312653i	0.214564	−	0.976710i	$-0.431167\pi$
$211$	13.9774	−	4.54154i	0.962246	−	0.312653i	0.747682	+	0.664057i	$0.231167\pi$
$212$	−5.35398	−	1.73961i	−0.367713	−	0.119477i
$213$	−2.94002	−	2.13605i	−0.201447	−	0.146360i
$214$	−7.16125			−0.489533
$215$	3.12506	+	2.27049i	0.213128	+	0.154846i
$216$	3.66926	−	5.05030i	0.249661	−	0.343629i
$217$	4.84092	+	6.66295i	0.328623	+	0.452311i
$218$	9.29184	−	3.01910i	0.629323	−	0.204479i
$219$		−	0.226934i		−	0.0153348i
$220$	15.1536	+	20.8571i	1.02166	+	1.40619i
$221$	−6.13241	+	18.8736i	−0.412511	+	1.26958i
$222$	−1.90043	+	2.61572i	−0.127548	+	0.175555i
$223$	4.13973	+	12.7408i	0.277217	+	0.853185i	0.988624	+	0.150406i	$0.0480580\pi$
$223$	4.13973	+	12.7408i	0.277217	+	0.853185i	−0.711408	+	0.702780i	$0.751942\pi$
$224$	−5.53336	−	1.79790i	−0.369713	−	0.120127i
$225$	5.72830	−	17.6299i	0.381887	−	1.17533i
$226$	−1.79891	+	5.53649i	−0.119662	+	0.368282i
$227$	−25.0255	−	8.13127i	−1.66100	−	0.539691i	−0.679918	−	0.733288i	$-0.737985\pi$
$227$	−25.0255	−	8.13127i	−1.66100	−	0.539691i	−0.981081	+	0.193596i	$0.937985\pi$
$228$	0.249701	+	0.768502i	0.0165369	+	0.0508953i
$229$	9.54457	−	13.1370i	0.630723	−	0.868116i	−0.367355	−	0.930081i	$-0.619737\pi$
$229$	9.54457	−	13.1370i	0.630723	−	0.868116i	0.998078	+	0.0619649i	$0.0197367\pi$
$230$	0.308755	−	0.950251i	0.0203587	−	0.0626577i
$231$	−1.30991	−	1.80293i	−0.0861857	−	0.118624i
$232$			25.7701i			1.69189i
$233$	−19.9504	+	6.48229i	−1.30700	+	0.424669i	−0.878010	−	0.478642i	$-0.841129\pi$
$233$	−19.9504	+	6.48229i	−1.30700	+	0.424669i	−0.428987	+	0.903311i	$0.641129\pi$
$234$	7.18795	+	9.89336i	0.469891	+	0.646749i
$235$	5.57135	−	7.66830i	0.363435	−	0.500225i
$236$	−13.1012	−	9.51861i	−0.852818	−	0.619609i
$237$	−4.57731			−0.297328
$238$	−2.44636	−	1.77738i	−0.158574	−	0.115211i
$239$	9.64267	+	3.13309i	0.623733	+	0.202663i	0.603797	−	0.797138i	$-0.293654\pi$
$239$	9.64267	+	3.13309i	0.623733	+	0.202663i	0.0199359	+	0.999801i	$0.493654\pi$
$240$	0.634770	−	0.206249i	0.0409742	−	0.0133133i
$241$	19.6097	−	14.2473i	1.26317	−	0.917748i	0.264264	−	0.964451i	$-0.414871\pi$
$241$	19.6097	−	14.2473i	1.26317	−	0.917748i	0.998909	+	0.0467020i	$0.0148711\pi$
$242$	−13.6897	+	9.94616i	−0.880008	+	0.639363i
$243$			9.92502i			0.636690i
$244$	0.587483	+	1.80809i	0.0376098	+	0.115751i
$245$	3.39370			0.216816
$246$	1.12184	+	1.70949i	0.0715261	+	0.108993i
$247$	−8.08938			−0.514715
$248$	−6.89019	−	21.2058i	−0.437528	−	1.34657i
$249$			0.716678i			0.0454176i
$250$	−3.37159	+	2.44960i	−0.213238	+	0.154926i
$251$	−7.45989	+	5.41993i	−0.470864	+	0.342103i	−0.797778	−	0.602951i	$-0.793991\pi$
$251$	−7.45989	+	5.41993i	−0.470864	+	0.342103i	0.326914	+	0.945054i	$0.393991\pi$
$252$	3.63809	−	1.18209i	0.229178	−	0.0744645i
$253$	−1.95409	−	0.634922i	−0.122853	−	0.0399172i
$254$	8.21261	+	5.96681i	0.515305	+	0.374391i
$255$	5.00220			0.313250
$256$	11.6585	+	8.47040i	0.728656	+	0.529400i
$257$	9.88670	−	13.6079i	0.616716	−	0.848836i	−0.380393	−	0.924825i	$-0.624211\pi$
$257$	9.88670	−	13.6079i	0.616716	−	0.848836i	0.997109	+	0.0759887i	$0.0242113\pi$
$258$	0.213643	+	0.294055i	0.0133008	+	0.0183070i
$259$	−9.62934	+	3.12876i	−0.598338	+	0.194412i
$260$			24.2440i			1.50355i
$261$	−15.9139	−	21.9037i	−0.985048	−	1.35580i
$262$	−2.80990	+	8.64799i	−0.173596	+	0.534275i
$263$	−7.29402	+	10.0394i	−0.449769	+	0.619054i	−0.972348	−	0.233537i	$-0.924970\pi$
$263$	−7.29402	+	10.0394i	−0.449769	+	0.619054i	0.522579	+	0.852591i	$0.324970\pi$
$264$	1.86442	+	5.73811i	0.114747	+	0.353156i
$265$	−13.5103	−	4.38977i	−0.829932	−	0.269661i
$266$	0.380900	−	1.17229i	0.0233545	−	0.0718777i
$267$	−2.12870	+	6.55147i	−0.130274	+	0.400944i
$268$	1.79776	+	0.584128i	0.109816	+	0.0356813i
$269$	−4.02445	−	12.3860i	−0.245375	−	0.755187i	−0.995574	−	0.0939756i	$-0.970042\pi$
$269$	−4.02445	−	12.3860i	−0.245375	−	0.755187i	0.750199	−	0.661212i	$-0.229958\pi$
$270$	3.72281	−	5.12400i	0.226563	−	0.311837i
$271$	−3.40536	+	10.4806i	−0.206861	+	0.636653i	0.792771	+	0.609520i	$0.208638\pi$
$271$	−3.40536	+	10.4806i	−0.206861	+	0.636653i	−0.999632	+	0.0271330i	$0.991362\pi$
$272$	−1.09465	−	1.50665i	−0.0663728	−	0.0913543i
$273$		−	2.09570i		−	0.126838i
$274$	−12.7089	+	4.12938i	−0.767774	+	0.249465i
$275$	21.6381	+	29.7823i	1.30483	+	1.79594i
$276$	−0.113445	+	0.156144i	−0.00682862	+	0.00939878i
$277$	−14.8077	−	10.7584i	−0.889710	−	0.646412i	0.0460924	−	0.998937i	$-0.485323\pi$
$277$	−14.8077	−	10.7584i	−0.889710	−	0.646412i	−0.935802	+	0.352525i	$0.885323\pi$
$278$	−5.07169			−0.304180
$279$	18.9517	+	13.7692i	1.13461	+	0.824343i
$280$	−8.73816	−	2.83920i	−0.522205	−	0.169675i
$281$	14.5933	−	4.74166i	0.870565	−	0.282864i	0.160531	−	0.987031i	$-0.448679\pi$
$281$	14.5933	−	4.74166i	0.870565	−	0.282864i	0.710034	+	0.704167i	$0.248679\pi$
$282$	0.721553	−	0.524239i	0.0429678	−	0.0312180i
$283$	8.71915	−	6.33483i	0.518300	−	0.376567i	−0.297663	−	0.954671i	$-0.596207\pi$
$283$	8.71915	−	6.33483i	0.518300	−	0.376567i	0.815963	+	0.578104i	$0.196207\pi$
$284$			12.3878i			0.735080i
$285$	0.630100	+	1.93925i	0.0373239	+	0.114871i
$286$	−24.2853			−1.43602
$287$	−0.304460	+	6.39588i	−0.0179717	+	0.377537i
$288$	−16.5487			−0.975142
$289$	0.940191	+	2.89361i	0.0553054	+	0.170212i
$290$			26.1462i			1.53536i
$291$	0.438256	−	0.318412i	0.0256910	−	0.0186656i
$292$	−0.625834	+	0.454695i	−0.0366242	+	0.0266090i
$293$	−1.04114	+	0.338287i	−0.0608241	+	0.0197629i	−0.339271	−	0.940689i	$-0.610180\pi$
$293$	−1.04114	+	0.338287i	−0.0608241	+	0.0197629i	0.278447	+	0.960452i	$0.410180\pi$
$294$	0.303703	+	0.0986791i	0.0177123	+	0.00575508i
$295$	−33.0599	−	24.0194i	−1.92482	−	1.39846i
$296$	27.4113			1.59325
$297$	−10.5370	−	7.65556i	−0.611417	−	0.444220i
$298$	2.71007	−	3.73009i	0.156990	−	0.216078i
$299$	−1.13570	−	1.56316i	−0.0656792	−	0.0903997i
$300$	3.28879	−	1.06859i	0.189879	−	0.0616953i
$301$			1.13822i			0.0656061i
$302$	−0.463776	−	0.638334i	−0.0266873	−	0.0367320i
$303$	0.0376357	−	0.115831i	0.00216212	−	0.00665431i
$304$	0.446212	−	0.614158i	0.0255920	−	0.0352244i
$305$	1.48246	+	4.56255i	0.0848856	+	0.261251i
$306$	−8.17995	−	2.65783i	−0.467617	−	0.151938i
$307$	7.36646	−	22.6716i	0.420426	−	1.29394i	−0.486880	−	0.873469i	$-0.661865\pi$
$307$	7.36646	−	22.6716i	0.420426	−	1.29394i	0.907306	−	0.420470i	$-0.138135\pi$
$308$	−2.34750	+	7.22487i	−0.133761	+	0.411675i
$309$	0.950501	+	0.308836i	0.0540721	+	0.0175691i
$310$	−6.99075	−	21.5153i	−0.397048	−	1.22199i
$311$	−14.9270	+	20.5453i	−0.846433	+	1.16502i	0.138204	+	0.990404i	$0.455867\pi$
$311$	−14.9270	+	20.5453i	−0.846433	+	1.16502i	−0.984637	+	0.174611i	$0.944133\pi$
$312$	−1.75328	+	5.39605i	−0.0992600	+	0.305491i
$313$	−12.1245	−	16.6879i	−0.685315	−	0.943255i	0.314668	−	0.949202i	$-0.398107\pi$
$313$	−12.1245	−	16.6879i	−0.685315	−	0.943255i	−0.999982	+	0.00594706i	$0.998107\pi$
$314$		−	9.08153i		−	0.512501i
$315$	9.18041	−	2.98289i	0.517257	−	0.168067i
$316$	9.17129	+	12.6232i	0.515925	+	0.710110i
$317$	5.22814	−	7.19592i	0.293642	−	0.404163i	−0.636551	−	0.771235i	$-0.719640\pi$
$317$	5.22814	−	7.19592i	0.293642	−	0.404163i	0.930193	+	0.367071i	$0.119640\pi$
$318$	−1.08140	−	0.785682i	−0.0606418	−	0.0440589i
$319$	53.7669			3.01037
$320$	10.1920	+	7.40490i	0.569749	+	0.413947i
$321$	3.31986	+	1.07869i	0.185297	+	0.0602066i
$322$	0.280004	−	0.0909789i	0.0156040	−	0.00507006i
$323$	4.60289	−	3.34420i	0.256112	−	0.186076i
$324$	8.29444	−	6.02626i	0.460802	−	0.334792i
$325$			34.6184i			1.92028i
$326$	0.725403	+	2.23256i	0.0401763	+	0.123650i
$327$	−4.76234			−0.263358
$328$	6.13478	−	16.2135i	0.338737	−	0.895241i
$329$	2.79298			0.153982
$330$	1.89163	+	5.82185i	0.104131	+	0.320482i
$331$		−	24.8166i		−	1.36404i	−0.731333	−	0.682021i	$-0.761101\pi$
$331$		−	24.8166i		−	1.36404i	0.731333	−	0.682021i	$-0.238899\pi$
$332$	1.97644	−	1.43597i	0.108471	−	0.0788089i
$333$	−23.2986	+	16.9274i	−1.27676	+	0.927617i
$334$	−1.44610	+	0.469865i	−0.0791268	+	0.0257099i
$335$	4.53650	+	1.47400i	0.247855	+	0.0805330i
$336$	0.159109	+	0.115599i	0.00868009	+	0.00630645i
$337$	−23.2042			−1.26401			−0.632005	−	0.774964i	$-0.717768\pi$
$337$	−23.2042			−1.26401			−0.632005	+	0.774964i	$0.717768\pi$
$338$	−9.96343	−	7.23885i	−0.541939	−	0.393742i
$339$	1.66791	−	2.29568i	0.0905882	−	0.124684i
$340$	−10.0226	−	13.7949i	−0.543552	−	0.748136i
$341$	−44.2440	+	14.3757i	−2.39594	+	0.778490i
$342$		−	3.50599i		−	0.189582i
$343$	0.587785	+	0.809017i	0.0317374	+	0.0436828i
$344$	0.952248	−	2.93072i	0.0513418	−	0.158014i
$345$	−0.286270	+	0.394017i	−0.0154123	+	0.0212131i
$346$	−3.42812	−	10.5507i	−0.184297	−	0.567208i
$347$	6.63463	+	2.15572i	0.356166	+	0.115725i	0.481634	−	0.876372i	$-0.340043\pi$
$347$	6.63463	+	2.15572i	0.356166	+	0.115725i	−0.125468	+	0.992098i	$0.540043\pi$
$348$	1.56073	−	4.80344i	0.0836640	−	0.257491i
$349$	3.99874	−	12.3069i	0.214048	−	0.658772i	−0.785172	−	0.619278i	$-0.787425\pi$
$349$	3.99874	−	12.3069i	0.214048	−	0.658772i	0.999220	−	0.0394938i	$-0.0125745\pi$
$350$	−5.01680	−	1.63006i	−0.268159	−	0.0871302i
$351$	−3.78484	−	11.6485i	−0.202020	−	0.621753i
$352$	19.3170	−	26.5876i	1.02960	−	1.41712i
$353$	−0.0167250	+	0.0514742i	−0.000890181	+	0.00273969i	−0.951501	−	0.307647i	$-0.900458\pi$
$353$	−0.0167250	+	0.0514742i	−0.000890181	+	0.00273969i	0.950610	+	0.310387i	$0.100458\pi$
$354$	−2.26012	−	3.11079i	−0.120124	−	0.165336i
$355$			31.2595i			1.65908i
$356$	22.3326	−	7.25632i	1.18363	−	0.384584i
$357$	0.866375	+	1.19246i	0.0458534	+	0.0631118i
$358$	−2.17809	+	2.99789i	−0.115116	+	0.158443i
$359$	−18.8527	−	13.6973i	−0.995007	−	0.722915i	−0.0339952	−	0.999422i	$-0.510823\pi$
$359$	−18.8527	−	13.6973i	−0.995007	−	0.722915i	−0.961012	+	0.276507i	$0.910823\pi$
$360$	−26.1334			−1.37735
$361$	−13.4950	−	9.80472i	−0.710265	−	0.516038i
$362$	2.24386	+	0.729073i	0.117934	+	0.0383192i
$363$	7.84455	−	2.54885i	0.411732	−	0.133780i
$364$	−5.77947	+	4.19903i	−0.302927	+	0.220089i
$365$	−1.57924	+	1.14738i	−0.0826611	+	0.0600568i
$366$			0.451409i			0.0235956i
$367$	1.73499	+	5.33976i	0.0905660	+	0.278733i	0.986073	−	0.166314i	$-0.0531867\pi$
$367$	1.73499	+	5.33976i	0.0905660	+	0.278733i	−0.895507	+	0.445048i	$0.853187\pi$
$368$	0.181323			0.00945210
$369$	4.79806	+	17.5693i	0.249777	+	0.914622i
$370$	27.8114			1.44585
$371$	−1.29350	−	3.98100i	−0.0671554	−	0.206683i
$372$			4.36997i			0.226572i
$373$	−7.80409	+	5.67000i	−0.404080	+	0.293582i	−0.771201	−	0.636592i	$-0.780344\pi$
$373$	−7.80409	+	5.67000i	−0.404080	+	0.293582i	0.367121	+	0.930173i	$0.380344\pi$
$374$	13.8184	−	10.0397i	0.714534	−	0.519139i
$375$	1.93201	−	0.627747i	0.0997683	−	0.0324167i
$376$	−7.19141	−	2.33663i	−0.370869	−	0.120503i
$377$	40.9053	+	29.7195i	2.10673	+	1.53063i
$378$	1.86629			0.0959914
$379$	27.7340	+	20.1499i	1.42460	+	1.03503i	0.990991	+	0.133930i	$0.0427598\pi$
$379$	27.7340	+	20.1499i	1.42460	+	1.03503i	0.433608	+	0.901102i	$0.357240\pi$
$380$	4.08552	−	5.62323i	0.209583	−	0.288466i
$381$	−2.90849	−	4.00319i	−0.149006	−	0.205090i
$382$	−13.2459	+	4.30385i	−0.677718	+	0.220204i
$383$			13.0422i			0.666424i	0.942852	+	0.333212i	$0.108133\pi$
$383$			13.0422i			0.666424i	−0.942852	+	0.333212i	$0.891867\pi$
$384$	−2.00168	−	2.75508i	−0.102148	−	0.140595i
$385$	−5.92372	+	18.2313i	−0.301901	+	0.929155i
$386$	−9.00143	+	12.3894i	−0.458161	+	0.630604i
$387$	1.00044	+	3.07905i	0.0508554	+	0.156517i
$388$	−1.75622	−	0.570629i	−0.0891584	−	0.0289693i
$389$	3.12266	−	9.61055i	0.158325	−	0.487274i	−0.840158	−	0.542342i	$-0.817538\pi$
$389$	3.12266	−	9.61055i	0.158325	−	0.487274i	0.998483	+	0.0550681i	$0.0175376\pi$
$390$	−1.77887	+	5.47480i	−0.0900766	+	0.277227i
$391$	1.29244	+	0.419938i	0.0653613	+	0.0212372i
$392$	−0.836609	−	2.57482i	−0.0422551	−	0.130048i
$393$	2.60527	−	3.58584i	0.131418	−	0.180882i
$394$	1.17573	−	3.61852i	0.0592323	−	0.182298i
$395$	23.1429	+	31.8535i	1.16445	+	1.60273i
$396$			21.6076i			1.08582i
$397$	21.1132	−	6.86008i	1.05964	−	0.344298i	0.273195	−	0.961959i	$-0.411920\pi$
$397$	21.1132	−	6.86008i	1.05964	−	0.344298i	0.786444	+	0.617661i	$0.211920\pi$
$398$	3.30964	+	4.55533i	0.165897	+	0.228338i
$399$	−0.353161	+	0.486084i	−0.0176801	+	0.0243346i
$400$	−2.62828	−	1.90956i	−0.131414	−	0.0954778i
$401$	4.79737			0.239569			0.119785	−	0.992800i	$-0.461780\pi$
$401$	4.79737			0.239569			0.119785	+	0.992800i	$0.461780\pi$
$402$	0.363112	+	0.263816i	0.0181104	+	0.0131580i
$403$	−41.6065	−	13.5188i	−2.07257	−	0.673418i
$404$	−0.394844	+	0.128293i	−0.0196442	+	0.00638279i
$405$	20.9303	−	15.2067i	1.04003	−	0.755629i
$406$	−6.23294	+	4.52850i	−0.309336	+	0.224746i
$407$		−	57.1911i		−	2.83486i
$408$	−1.23313	−	3.79519i	−0.0610491	−	0.187890i
$409$	−4.50880			−0.222946			−0.111473	−	0.993767i	$-0.535557\pi$
$409$	−4.50880			−0.222946			−0.111473	+	0.993767i	$0.535557\pi$
$410$	6.22431	−	16.4501i	0.307397	−	0.812414i
$411$	6.51369			0.321297
$412$	−1.05276	−	3.24007i	−0.0518658	−	0.159627i
$413$		−	12.0412i		−	0.592509i
$414$	0.677482	−	0.492220i	0.0332964	−	0.0241913i
$415$	4.98737	−	3.62354i	0.244820	−	0.177872i
$416$	29.3923	−	9.55015i	1.44108	−	0.468235i
$417$	2.35117	+	0.763941i	0.115137	+	0.0374104i
$418$	5.63281	+	4.09247i	0.275510	+	0.200169i
$419$	−31.3435			−1.53123			−0.765615	−	0.643299i	$-0.777565\pi$
$419$	−31.3435			−1.53123			−0.765615	+	0.643299i	$0.777565\pi$
$420$	1.45680	+	1.05843i	0.0710846	+	0.0516460i
$421$	8.94300	−	12.3090i	0.435855	−	0.599903i	−0.533430	−	0.845844i	$-0.679097\pi$
$421$	8.94300	−	12.3090i	0.435855	−	0.599903i	0.969285	+	0.245941i	$0.0790971\pi$
$422$	−6.99195	−	9.62360i	−0.340363	−	0.468469i
$423$	7.55538	−	2.45489i	0.367355	−	0.119361i
$424$			11.3325i			0.550355i
$425$	−14.3114	−	19.6980i	−0.694207	−	0.955494i
$426$	−0.908936	+	2.79742i	−0.0440381	+	0.135535i
$427$	−0.830896	+	1.14363i	−0.0402099	+	0.0553442i
$428$	−3.67703	−	11.3167i	−0.177736	−	0.547016i
$429$	11.2583	+	3.65805i	0.543558	+	0.176613i
$430$	0.966145	−	2.97349i	0.0465917	−	0.143394i
$431$	3.16298	−	9.73465i	0.152355	−	0.468901i	−0.845528	−	0.533931i	$-0.820714\pi$
$431$	3.16298	−	9.73465i	0.152355	−	0.468901i	0.997883	+	0.0650296i	$0.0207142\pi$
$432$	1.09315	+	0.355185i	0.0525940	+	0.0170888i
$433$	−2.27091	−	6.98913i	−0.109133	−	0.335876i	0.881545	−	0.472099i	$-0.156504\pi$
$433$	−2.27091	−	6.98913i	−0.109133	−	0.335876i	−0.990678	+	0.136223i	$0.956504\pi$
$434$	3.91820	−	5.39294i	0.188080	−	0.258869i
$435$	3.93837	−	12.1211i	0.188830	−	0.581160i
$436$	9.54202	+	13.1335i	0.456980	+	0.628979i
$437$			0.553949i			0.0264990i
$438$	−0.174689	+	0.0567599i	−0.00834696	+	0.00271209i
$439$	−19.7273	−	27.1523i	−0.941533	−	1.29591i	−0.955187	−	0.296002i	$-0.904347\pi$
$439$	−19.7273	−	27.1523i	−0.941533	−	1.29591i	0.0136548	−	0.999907i	$-0.495653\pi$
$440$	30.5050	−	41.9865i	1.45427	−	2.00163i
$441$	2.30112	+	1.67186i	0.109577	+	0.0796125i
$442$	16.0623			0.764006
$443$	31.2032	+	22.6704i	1.48251	+	1.07710i	0.976738	+	0.214435i	$0.0687911\pi$
$443$	31.2032	+	22.6704i	1.48251	+	1.07710i	0.505769	+	0.862669i	$0.331209\pi$
$444$	−5.10935	−	1.66013i	−0.242479	−	0.0787862i
$445$	56.3545	−	18.3107i	2.67146	−	0.868010i
$446$	8.77215	−	6.37334i	0.415373	−	0.301786i
$447$	−1.81821	+	1.32101i	−0.0859983	+	0.0624815i
$448$			3.71216i			0.175383i
$449$	5.63461	+	17.3415i	0.265914	+	0.818398i	0.991482	+	0.130247i	$0.0415771\pi$
$449$	5.63461	+	17.3415i	0.265914	+	0.818398i	−0.725568	+	0.688151i	$0.758423\pi$
$450$	−15.0038			−0.707288
$451$	−33.8279	−	12.7996i	−1.59290	−	0.602711i
$452$	−9.67284			−0.454972
$453$	0.118850	+	0.365781i	0.00558404	+	0.0171859i
$454$			21.2978i			0.999556i
$455$	−14.5840	+	10.5959i	−0.683709	+	0.496743i
$456$	1.31599	−	0.956120i	0.0616267	−	0.0447744i
$457$	6.82106	−	2.21630i	0.319076	−	0.103674i	−0.145100	−	0.989417i	$-0.546351\pi$
$457$	6.82106	−	2.21630i	0.319076	−	0.103674i	0.464176	+	0.885743i	$0.346351\pi$
$458$	−12.4998	−	4.06143i	−0.584077	−	0.189778i
$459$	6.96916	+	5.06339i	0.325293	+	0.236339i
$460$	1.66019			0.0774068
$461$	−9.37415	−	6.81072i	−0.436598	−	0.317207i	0.347684	−	0.937612i	$-0.386968\pi$
$461$	−9.37415	−	6.81072i	−0.436598	−	0.317207i	−0.784282	+	0.620405i	$0.786968\pi$
$462$	−1.06023	+	1.45928i	−0.0493263	+	0.0678919i
$463$	−10.5412	−	14.5088i	−0.489893	−	0.674280i	0.490475	−	0.871455i	$-0.336823\pi$
$463$	−10.5412	−	14.5088i	−0.489893	−	0.674280i	−0.980368	+	0.197175i	$0.936823\pi$
$464$	−4.51269	+	1.46626i	−0.209496	+	0.0680695i
$465$			11.0272i			0.511376i
$466$	9.97984	+	13.7361i	0.462307	+	0.636311i
$467$	−10.4537	+	32.1732i	−0.483739	+	1.48880i	0.350059	+	0.936728i	$0.386162\pi$
$467$	−10.4537	+	32.1732i	−0.483739	+	1.48880i	−0.833798	+	0.552069i	$0.813838\pi$
$468$	−11.9435	+	16.4388i	−0.552088	+	0.759884i
$469$	0.434333	+	1.33674i	0.0200556	+	0.0617249i
$470$	−7.29637	−	2.37073i	−0.336556	−	0.109354i
$471$	−1.36794	+	4.21008i	−0.0630313	+	0.193990i
$472$	−10.0738	+	31.0039i	−0.463683	+	1.42707i
$473$	−6.11466	−	1.98677i	−0.281153	−	0.0913520i
$474$	1.14486	+	3.52351i	0.0525850	+	0.161840i
$475$	5.83378	−	8.02951i	0.267672	−	0.368419i
$476$	1.55264	−	4.77854i	0.0711652	−	0.219024i
$477$	−6.99820	−	9.63219i	−0.320426	−	0.441028i
$478$		−	8.20635i		−	0.375350i
$479$	−0.146587	+	0.0476289i	−0.00669771	+	0.00217622i	−0.312364	−	0.949963i	$-0.601121\pi$
$479$	−0.146587	+	0.0476289i	−0.00669771	+	0.00217622i	0.305666	+	0.952139i	$0.401121\pi$
$480$	−4.57887	−	6.30227i	−0.208996	−	0.287658i
$481$	31.6122	−	43.5104i	1.44139	−	1.98391i
$482$	−15.8719	−	11.5316i	−0.722947	−	0.525252i
$483$	−0.143510			−0.00652995
$484$	−22.7468	−	16.5265i	−1.03395	−	0.751206i
$485$	−4.43166	−	1.43993i	−0.201231	−	0.0653840i
$486$	7.64006	−	2.48240i	0.346560	−	0.112604i
$487$	1.24584	−	0.905154i	0.0564543	−	0.0410165i	−0.559200	−	0.829033i	$-0.688892\pi$
$487$	1.24584	−	0.905154i	0.0564543	−	0.0410165i	0.615655	+	0.788016i	$0.288892\pi$
$488$	3.09618	−	2.24950i	0.140157	−	0.101830i
$489$		−	1.14425i		−	0.0517449i
$490$	−0.848818	−	2.61239i	−0.0383457	−	0.118016i
$491$	9.37161			0.422935			0.211467	−	0.977385i	$-0.432176\pi$
$491$	9.37161			0.422935			0.211467	+	0.977385i	$0.432176\pi$
$492$	−2.12544	+	2.65058i	−0.0958223	+	0.119497i
$493$	−35.5615			−1.60161
$494$	2.02328	+	6.22702i	0.0910318	+	0.280167i
$495$			54.5248i			2.45071i
$496$	3.32139	−	2.41313i	0.149135	−	0.108353i
$497$	−7.45189	+	5.41411i	−0.334263	+	0.242856i
$498$	0.551683	−	0.179253i	0.0247215	−	0.00803250i
$499$	0.375590	+	0.122037i	0.0168137	+	0.00546311i	0.317412	−	0.948288i	$-0.397186\pi$
$499$	0.375590	+	0.122037i	0.0168137	+	0.00546311i	−0.300598	+	0.953751i	$0.597186\pi$
$500$	−5.60223	−	4.07026i	−0.250539	−	0.182027i
$501$	0.741166			0.0331129
$502$	6.03798	+	4.38685i	0.269488	+	0.195795i
$503$	−23.3466	+	32.1339i	−1.04098	+	1.43278i	−0.144596	+	0.989491i	$0.546188\pi$
$503$	−23.3466	+	32.1339i	−1.04098	+	1.43278i	−0.896379	+	0.443288i	$0.853812\pi$
$504$	−4.52627	−	6.22988i	−0.201616	−	0.277501i
$505$	−0.996355	+	0.323735i	−0.0443372	+	0.0144060i
$506$			1.66302i			0.0739302i
$507$	3.52854	+	4.85662i	0.156708	+	0.215690i
$508$	−5.21234	+	16.0419i	−0.231260	+	0.711745i
$509$	−11.3262	+	15.5891i	−0.502023	+	0.690976i	−0.982549	−	0.186005i	$-0.940446\pi$
$509$	−11.3262	+	15.5891i	−0.502023	+	0.690976i	0.480526	+	0.876981i	$0.340446\pi$
$510$	−1.25113	−	3.85058i	−0.0554009	−	0.170506i
$511$	−0.547044	−	0.177746i	−0.0241998	−	0.00786300i
$512$	−1.73030	+	5.32531i	−0.0764692	+	0.235348i
$513$	−1.08510	+	3.33961i	−0.0479086	+	0.147447i
$514$	−12.9479	−	4.20701i	−0.571105	−	0.185563i
$515$	−2.65655	−	8.17602i	−0.117062	−	0.360279i
$516$	−0.354989	+	0.488601i	−0.0156275	+	0.0215095i
$517$	−4.87516	+	15.0042i	−0.214409	+	0.659884i
$518$	4.81690	+	6.62990i	0.211642	+	0.291301i
$519$			5.40753i			0.237364i
$520$	46.4158	−	15.0814i	2.03547	−	0.661363i
$521$	10.9350	+	15.0508i	0.479072	+	0.659387i	0.978326	−	0.207069i	$-0.0663925\pi$
$521$	10.9350	+	15.0508i	0.479072	+	0.659387i	−0.499254	+	0.866456i	$0.666392\pi$
$522$	−12.8806	+	17.7286i	−0.563769	+	0.775961i
$523$	28.0823	+	20.4030i	1.22795	+	0.892161i	0.996735	−	0.0807412i	$-0.0257287\pi$
$523$	28.0823	+	20.4030i	1.22795	+	0.892161i	0.231219	+	0.972902i	$0.425729\pi$
$524$	−15.1090			−0.660039
$525$	2.08019	+	1.51135i	0.0907869	+	0.0659606i
$526$	9.55242	+	3.10377i	0.416505	+	0.135331i
$527$	29.2630	−	9.50813i	1.27472	−	0.414181i
$528$	−0.898736	+	0.652970i	−0.0391125	+	0.0284169i
$529$	18.5003	−	13.4413i	0.804363	−	0.584404i
$530$			11.4979i			0.499436i
$531$	−10.5836	−	32.5730i	−0.459290	−	1.41355i
$532$	2.04812			0.0887972
$533$	−18.6610	−	28.4361i	−0.808298	−	1.23170i
$534$	5.57560			0.241280
$535$	−9.27868	−	28.5568i	−0.401152	−	1.23462i
$536$		−	3.80523i		−	0.164361i
$537$	1.46130	−	1.06170i	0.0630599	−	0.0458157i
$538$	−8.52788	+	6.19587i	−0.367663	+	0.267123i
$539$	−5.37211	+	1.74550i	−0.231393	+	0.0751842i
$540$	10.0089	+	3.25208i	0.430713	+	0.139947i
$541$	−11.3583	−	8.25232i	−0.488334	−	0.354795i	0.316210	−	0.948689i	$-0.397590\pi$
$541$	−11.3583	−	8.25232i	−0.488334	−	0.354795i	−0.804543	+	0.593894i	$0.797590\pi$
$542$	8.91949			0.383125
$543$	−0.930404	−	0.675978i	−0.0399274	−	0.0290090i
$544$	−12.7763	+	17.5850i	−0.547779	+	0.753952i
$545$	24.0785	+	33.1412i	1.03141	+	1.41961i
$546$	−1.61322	+	0.524168i	−0.0690396	+	0.0224323i
$547$		−	8.35038i		−	0.357036i	−0.983937	−	0.178518i	$-0.942870\pi$
$547$		−	8.35038i		−	0.357036i	0.983937	−	0.178518i	$-0.0571303\pi$
$548$	−13.0511	−	17.9633i	−0.557516	−	0.767354i
$549$	−1.24249	+	3.82399i	−0.0530281	+	0.163204i
$550$	17.5137	−	24.1055i	0.746786	−	1.02786i
$551$	−4.47949	−	13.7865i	−0.190833	−	0.587323i
$552$	0.369513	+	0.120062i	0.0157275	+	0.00511018i
$553$	−3.58516	+	11.0340i	−0.152457	+	0.469213i
$554$	−4.57796	+	14.0895i	−0.194499	+	0.598606i
$555$	−12.8930	−	4.18919i	−0.547277	−	0.177821i
$556$	−2.60412	−	8.01466i	−0.110439	−	0.339897i
$557$	4.28785	−	5.90172i	0.181682	−	0.250064i	−0.708456	−	0.705755i	$-0.750608\pi$
$557$	4.28785	−	5.90172i	0.181682	−	0.250064i	0.890138	+	0.455691i	$0.150608\pi$
$558$	5.85912	−	18.0325i	0.248036	−	0.763377i
$559$	−3.55379	−	4.89137i	−0.150309	−	0.206883i
$560$		−	1.69171i		−	0.0714878i
$561$	−7.91830	+	2.57281i	−0.334311	+	0.108624i
$562$	−7.30004	−	10.0476i	−0.307934	−	0.423834i
$563$	8.34314	−	11.4833i	0.351622	−	0.483965i	−0.596169	−	0.802859i	$-0.703311\pi$
$563$	8.34314	−	11.4833i	0.351622	−	0.483965i	0.947791	+	0.318893i	$0.103311\pi$
$564$	1.19893	+	0.871075i	0.0504841	+	0.0366789i
$565$	−24.4086			−1.02688
$566$	−7.05721	−	5.12736i	−0.296637	−	0.215519i
$567$	7.25021	+	2.35574i	0.304480	+	0.0989316i
$568$	23.7167	−	7.70603i	0.995132	−	0.323338i
$569$	30.6006	−	22.2326i	1.28284	−	0.932039i	0.283207	−	0.959059i	$-0.408602\pi$
$569$	30.6006	−	22.2326i	1.28284	−	0.932039i	0.999635	+	0.0270196i	$0.00860164\pi$
$570$	1.33519	−	0.970074i	0.0559250	−	0.0406319i
$571$			2.68014i			0.112160i	0.998426	+	0.0560801i	$0.0178602\pi$
$571$			2.68014i			0.112160i	−0.998426	+	0.0560801i	$0.982140\pi$
$572$	−12.4696	−	38.3774i	−0.521379	−	1.60464i
$573$	6.78890			0.283610
$574$	4.99956	−	1.36534i	0.208677	−	0.0569884i
$575$	2.37061			0.0988615
$576$	3.26281	+	10.0419i	0.135950	+	0.418412i
$577$		−	6.82925i		−	0.284305i	−0.989845	−	0.142153i	$-0.954598\pi$
$577$		−	6.82925i		−	0.284305i	0.989845	−	0.142153i	$-0.0454024\pi$
$578$	1.99228	−	1.44748i	0.0828679	−	0.0602070i
$579$	6.03914	−	4.38769i	0.250978	−	0.182346i
$580$	−41.3182	+	13.4251i	−1.71565	+	0.557447i
$581$	1.72761	+	0.561336i	0.0716735	+	0.0232881i
$582$	−0.354721	−	0.257720i	−0.0147037	−	0.0106828i
$583$	23.6442			0.979241
$584$	1.25984	+	0.915324i	0.0521324	+	0.0378764i
$585$	−30.1384	+	41.4819i	−1.24607	+	1.71507i
$586$	0.520812	+	0.716836i	0.0215145	+	0.0296122i
$587$	−7.71820	+	2.50779i	−0.318564	+	0.103508i	−0.463934	−	0.885870i	$-0.653563\pi$
$587$	−7.71820	+	2.50779i	−0.318564	+	0.103508i	0.145370	+	0.989377i	$0.453563\pi$
$588$			0.530602i			0.0218817i
$589$	7.37221	+	10.1470i	0.303767	+	0.418099i
$590$	−10.2208	+	31.4564i	−0.420783	+	1.29504i
$591$	−1.09010	+	1.50040i	−0.0448409	+	0.0617182i
$592$	1.55964	+	4.80009i	0.0641009	+	0.197282i
$593$	−20.6063	−	6.69540i	−0.846200	−	0.274947i	−0.146346	−	0.989233i	$-0.546751\pi$
$593$	−20.6063	−	6.69540i	−0.846200	−	0.274947i	−0.699853	+	0.714286i	$0.746751\pi$
$594$	−3.25761	+	10.0259i	−0.133661	+	0.411367i
$595$	3.91795	−	12.0582i	0.160620	−	0.494339i
$596$	7.28608	+	2.36739i	0.298449	+	0.0969721i
$597$	−0.848144	−	2.61032i	−0.0347122	−	0.106833i
$598$	−0.919227	+	1.26521i	−0.0375900	+	0.0517382i
$599$	−12.9078	+	39.7261i	−0.527398	+	1.62316i	0.232126	+	0.972686i	$0.425432\pi$
$599$	−12.9078	+	39.7261i	−0.527398	+	1.62316i	−0.759524	+	0.650479i	$0.774568\pi$
$600$	−4.09170	−	5.63174i	−0.167043	−	0.229915i
$601$			16.5608i			0.675528i	0.941231	+	0.337764i	$0.109671\pi$
$601$			16.5608i			0.675528i	−0.941231	+	0.337764i	$0.890329\pi$
$602$	0.876179	−	0.284688i	0.0357104	−	0.0116030i
$603$	2.34986	+	3.23430i	0.0956935	+	0.131711i
$604$	0.770611	−	1.06065i	0.0313557	−	0.0431574i
$605$	−57.3996	−	41.7033i	−2.33363	−	1.69548i
$606$	−0.0985772			−0.00400443
$607$	22.2866	+	16.1921i	0.904583	+	0.657218i	0.939639	−	0.342167i	$-0.111161\pi$
$607$	22.2866	+	16.1921i	0.904583	+	0.657218i	−0.0350557	+	0.999385i	$0.511161\pi$
$608$	−8.42672	−	2.73801i	−0.341749	−	0.111041i
$609$	3.57163	−	1.16049i	0.144730	−	0.0470256i
$610$	3.14136	−	2.28233i	0.127190	−	0.0924090i
$611$	−12.0025	+	8.72031i	−0.485568	+	0.352786i
$612$		−	14.2913i		−	0.577690i
$613$	4.05068	+	12.4667i	0.163606	+	0.503526i	0.998931	−	0.0462299i	$-0.0147207\pi$
$613$	4.05068	+	12.4667i	0.163606	+	0.503526i	−0.835325	+	0.549756i	$0.814721\pi$
$614$	−19.2946			−0.778666
$615$	−5.36337	+	6.68851i	−0.216272	+	0.269707i
$616$	15.2925			0.616152
$617$	11.4708	+	35.3036i	0.461798	+	1.42127i	0.862966	+	0.505263i	$0.168604\pi$
$617$	11.4708	+	35.3036i	0.461798	+	1.42127i	−0.401168	+	0.916005i	$0.631396\pi$
$618$		−	0.808919i		−	0.0325395i
$619$	−9.50471	+	6.90557i	−0.382026	+	0.277558i	−0.762180	−	0.647365i	$-0.775871\pi$
$619$	−9.50471	+	6.90557i	−0.382026	+	0.277558i	0.380154	+	0.924923i	$0.375871\pi$
$620$	30.4106	−	22.0946i	1.22132	−	0.887341i
$621$	−0.797674	+	0.259180i	−0.0320096	+	0.0104005i
$622$	19.5488	+	6.35178i	0.783834	+	0.254683i
$623$	14.1256	+	10.2628i	0.565930	+	0.411172i
$624$	−1.04468			−0.0418205
$625$	12.2259	+	8.88264i	0.489036	+	0.355306i
$626$	−9.81344	+	13.5070i	−0.392224	+	0.539850i
$627$	−1.99485	−	2.74568i	−0.0796667	−	0.109652i
$628$	14.3513	−	4.66303i	0.572680	−	0.186075i
$629$			37.8263i			1.50823i
$630$	−4.59233	−	6.32080i	−0.182963	−	0.251827i
$631$	−7.63246	+	23.4903i	−0.303843	+	0.935134i	0.676263	+	0.736660i	$0.263598\pi$
$631$	−7.63246	+	23.4903i	−0.303843	+	0.935134i	−0.980106	+	0.198473i	$0.936402\pi$
$632$	18.4623	−	25.4111i	0.734390	−	1.01080i
$633$	1.79179	+	5.51456i	0.0712173	+	0.219184i
$634$	−6.84690	−	2.22469i	−0.271925	−	0.0883538i
$635$	−13.1529	+	40.4804i	−0.521956	+	1.60642i
$636$	0.686336	−	2.11233i	0.0272150	−	0.0837592i
$637$	−5.05187	−	1.64145i	−0.200162	−	0.0650367i
$638$	−13.4480	−	41.3886i	−0.532410	−	1.63859i
$639$	−15.3996	+	21.1957i	−0.609198	+	0.838490i
$640$	−9.05209	+	27.8595i	−0.357815	+	1.10124i
$641$	−12.8391	−	17.6716i	−0.507116	−	0.697985i	0.476314	−	0.879275i	$-0.341973\pi$
$641$	−12.8391	−	17.6716i	−0.507116	−	0.697985i	−0.983430	+	0.181291i	$0.941973\pi$
$642$		−	2.82535i		−	0.111508i
$643$	16.1165	−	5.23657i	0.635573	−	0.206510i	0.0265310	−	0.999648i	$-0.491554\pi$
$643$	16.1165	−	5.23657i	0.635573	−	0.206510i	0.609042	+	0.793138i	$0.291554\pi$
$644$	0.287543	+	0.395770i	0.0113308	+	0.0155955i
$645$	−0.895785	+	1.23294i	−0.0352715	+	0.0485471i
$646$	−3.72554	−	2.70677i	−0.146580	−	0.106496i
$647$	−6.45503			−0.253773			−0.126887	−	0.991917i	$-0.540498\pi$
$647$	−6.45503			−0.253773			−0.126887	+	0.991917i	$0.540498\pi$
$648$	−16.6971	−	12.1312i	−0.655925	−	0.476557i
$649$	64.6866	+	21.0180i	2.53917	+	0.825027i
$650$	26.6485	−	8.65861i	1.04524	−	0.339619i
$651$	−2.62876	+	1.90990i	−0.103029	+	0.0748551i
$652$	−3.15559	+	2.29267i	−0.123583	+	0.0897879i
$653$			31.8366i			1.24586i	0.782277	+	0.622930i	$0.214058\pi$
$653$			31.8366i			1.24586i	−0.782277	+	0.622930i	$0.785942\pi$
$654$	1.19114	+	3.66594i	0.0465771	+	0.143350i
$655$	−38.1262			−1.48971
$656$	3.18825	+	0.151769i	0.124480	+	0.00592558i
$657$	−1.63606			−0.0638286
$658$	−0.698569	−	2.14997i	−0.0272330	−	0.0838147i
$659$			41.4944i			1.61639i	0.588913	+	0.808197i	$0.299556\pi$
$659$			41.4944i			1.61639i	−0.588913	+	0.808197i	$0.700444\pi$
$660$	−8.22884	+	5.97860i	−0.320307	+	0.232717i
$661$	18.5428	−	13.4721i	0.721231	−	0.524005i	−0.165546	−	0.986202i	$-0.552939\pi$
$661$	18.5428	−	13.4721i	0.721231	−	0.524005i	0.886777	+	0.462197i	$0.152939\pi$
$662$	−19.1032	+	6.20702i	−0.742468	+	0.241243i
$663$	−7.44628	−	2.41944i	−0.289189	−	0.0939633i
$664$	−3.97867	−	2.89067i	−0.154402	−	0.112180i
$665$	5.16825			0.200416
$666$	18.8577	+	13.7009i	0.730721	+	0.530900i
$667$	2.03514	−	2.80114i	0.0788011	−	0.108460i
$668$	−1.48503	−	2.04397i	−0.0574576	−	0.0790836i
$669$	−5.02666	+	1.63326i	−0.194342	+	0.0631455i
$670$		−	3.86076i		−	0.149154i
$671$	−4.69337	−	6.45988i	−0.181186	−	0.249381i
$672$	0.709330	−	2.18309i	0.0273630	−	0.0842147i
$673$	−6.53110	+	8.98929i	−0.251756	+	0.346512i	−0.916125	−	0.400892i	$-0.868700\pi$
$673$	−6.53110	+	8.98929i	−0.251756	+	0.346512i	0.664370	+	0.747404i	$0.268700\pi$
$674$	5.80373	+	17.8620i	0.223551	+	0.688020i
$675$	14.2918	+	4.64369i	0.550092	+	0.178736i
$676$	6.32353	−	19.4618i	0.243213	−	0.748532i
$677$	−1.52909	+	4.70604i	−0.0587676	+	0.180868i	−0.976131	−	0.217183i	$-0.930313\pi$
$677$	−1.52909	+	4.70604i	−0.0587676	+	0.180868i	0.917363	+	0.398051i	$0.130313\pi$
$678$	−2.18433	−	0.709731i	−0.0838886	−	0.0272571i
$679$	−0.424296	−	1.30585i	−0.0162830	−	0.0501139i
$680$	−20.1760	+	27.7699i	−0.773715	+	1.06493i
$681$	3.20806	−	9.87339i	0.122933	−	0.378349i
$682$	22.1322	+	30.4624i	0.847487	+	1.16647i
$683$		−	14.4957i		−	0.554663i	−0.960774	−	0.277332i	$-0.910550\pi$
$683$		−	14.4957i		−	0.554663i	0.960774	−	0.277332i	$-0.0894501\pi$
$684$	5.54043	−	1.80019i	0.211844	−	0.0688321i
$685$	−32.9333	−	45.3289i	−1.25832	−	1.73193i
$686$	0.475749	−	0.654812i	0.0181642	−	0.0250008i
$687$	5.18298	+	3.76565i	0.197743	+	0.143669i
$688$	0.567388			0.0216315
$689$	17.9882	+	13.0692i	0.685297	+	0.497898i
$690$	0.374906	+	0.121814i	0.0142724	+	0.00463739i
$691$	−12.2298	+	3.97370i	−0.465244	+	0.151167i	−0.532253	−	0.846586i	$-0.678654\pi$
$691$	−12.2298	+	3.97370i	−0.465244	+	0.151167i	0.0670090	+	0.997752i	$0.478654\pi$
$692$	14.9127	−	10.8347i	0.566898	−	0.411875i
$693$	−12.9980	+	9.44364i	−0.493755	+	0.358734i
$694$		−	5.64637i		−	0.214333i
$695$	−6.57128	−	20.2243i	−0.249263	−	0.767152i
$696$	−10.1672			−0.385386
$697$	22.3738	+	8.46569i	0.847470	+	0.320661i
$698$	−10.4737			−0.396435
$699$	−2.55748	−	7.87112i	−0.0967328	−	0.297713i
$700$		−	8.76489i		−	0.331282i
$701$	−15.9433	+	11.5835i	−0.602169	+	0.437501i	−0.846648	−	0.532153i	$-0.821383\pi$
$701$	−15.9433	+	11.5835i	−0.602169	+	0.437501i	0.244479	+	0.969654i	$0.421383\pi$
$702$	−8.02013	+	5.82697i	−0.302700	+	0.219925i
$703$	−14.6645	+	4.76478i	−0.553081	+	0.179707i
$704$	−19.9421	−	6.47960i	−0.751598	−	0.244209i
$705$	3.02540	+	2.19808i	0.113943	+	0.0827846i
$706$	0.0438068			0.00164869
$707$	−0.249742	−	0.181448i	−0.00939252	−	0.00682406i
$708$	3.75541	−	5.16888i	0.141137	−	0.194258i
$709$	−2.98664	−	4.11076i	−0.112166	−	0.154383i	0.749243	−	0.662295i	$-0.230417\pi$
$709$	−2.98664	−	4.11076i	−0.112166	−	0.154383i	−0.861409	+	0.507912i	$0.830417\pi$
$710$	24.0629	−	7.81850i	0.903063	−	0.293423i
$711$			32.9996i			1.23758i
$712$	−27.7848	−	38.2425i	−1.04128	−	1.43320i
$713$	−0.925744	+	2.84915i	−0.0346694	+	0.106701i
$714$	0.701237	−	0.965170i	0.0262431	−	0.0361206i
$715$	−31.4659	−	96.8420i	−1.17676	−	3.62169i
$716$	−5.85586	−	1.90268i	−0.218844	−	0.0711066i
$717$	−1.23611	+	3.80436i	−0.0461634	+	0.142076i
$718$	−5.82850	+	17.9383i	−0.217518	+	0.669451i
$719$	−13.1920	−	4.28632i	−0.491977	−	0.159853i	0.0525133	−	0.998620i	$-0.483277\pi$
$719$	−13.1920	−	4.28632i	−0.491977	−	0.159853i	−0.544490	+	0.838767i	$0.683277\pi$
$720$	−1.48693	−	4.57630i	−0.0554146	−	0.170549i
$721$	1.48895	−	2.04937i	0.0554515	−	0.0763224i
$722$	−4.17213	+	12.8405i	−0.155271	+	0.477874i
$723$	5.62103	+	7.73669i	0.209048	+	0.287730i
$724$			3.92026i			0.145695i
$725$	−58.9990	+	19.1699i	−2.19117	+	0.711954i
$726$	−3.92409	−	5.40105i	−0.145637	−	0.200452i
$727$	6.87794	−	9.46668i	0.255089	−	0.351100i	−0.662197	−	0.749330i	$-0.730376\pi$
$727$	6.87794	−	9.46668i	0.255089	−	0.351100i	0.917285	+	0.398231i	$0.130376\pi$
$728$	11.6344	+	8.45287i	0.431199	+	0.313284i
$729$	18.9542			0.702008
$730$	1.27822	+	0.928683i	0.0473091	+	0.0343721i
$731$	4.04425	+	1.31406i	0.149582	+	0.0486021i
$732$	−0.713351	+	0.231782i	−0.0263662	+	0.00856690i
$733$	−16.1655	+	11.7450i	−0.597088	+	0.433810i	−0.844844	−	0.535013i	$-0.820307\pi$
$733$	−16.1655	+	11.7450i	−0.597088	+	0.433810i	0.247756	+	0.968822i	$0.420307\pi$
$734$	3.67648	−	2.67112i	0.135701	−	0.0985928i
$735$			1.33893i			0.0493871i
$736$	−0.653980	−	2.01274i	−0.0241060	−	0.0741907i
$737$	−7.93924			−0.292446
$738$	12.3244	−	8.08780i	0.453667	−	0.297716i
$739$	27.8943			1.02611			0.513054	−	0.858357i	$-0.328514\pi$
$739$	27.8943			1.02611			0.513054	+	0.858357i	$0.328514\pi$
$740$	14.2801	+	43.9496i	0.524947	+	1.61562i
$741$		−	3.19153i		−	0.117244i
$742$	−2.74096	+	1.99142i	−0.100624	+	0.0731074i
$743$	12.8482	−	9.33473i	0.471353	−	0.342458i	−0.326615	−	0.945157i	$-0.605908\pi$
$743$	12.8482	−	9.33473i	0.471353	−	0.342458i	0.797968	+	0.602699i	$0.205908\pi$
$744$	8.36641	−	2.71841i	0.306728	−	0.0996618i
$745$	18.3858	+	5.97391i	0.673603	+	0.218867i
$746$	6.31657	+	4.58925i	0.231266	+	0.168025i
$747$	5.16681			0.189044
$748$	22.9607	+	16.6819i	0.839526	+	0.609951i
$749$	5.20054	−	7.15794i	0.190024	−	0.261545i
$750$	−0.966450	−	1.33020i	−0.0352898	−	0.0485722i
$751$	−28.2350	+	9.17411i	−1.03031	+	0.334768i	−0.774913	−	0.632068i	$-0.782206\pi$
$751$	−28.2350	+	9.17411i	−1.03031	+	0.334768i	−0.255397	+	0.966836i	$0.582206\pi$
$752$		−	1.39226i		−	0.0507705i
$753$	−2.13834	−	2.94318i	−0.0779256	−	0.107255i
$754$	12.6463	−	38.9213i	0.460551	−	1.41743i
$755$	1.94457	−	2.67647i	0.0707701	−	0.0974067i
$756$	0.958268	+	2.94925i	0.0348519	+	0.107263i
$757$	30.9595	+	10.0594i	1.12524	+	0.365613i	0.811766	−	0.583983i	$-0.198506\pi$
$757$	30.9595	+	10.0594i	1.12524	+	0.365613i	0.313476	+	0.949596i	$0.398506\pi$
$758$	8.57424	−	26.3888i	0.311430	−	0.958485i
$759$	0.250498	−	0.770954i	0.00909250	−	0.0279838i
$760$	−13.3073	−	4.32380i	−0.482706	−	0.156841i
$761$	−0.325493	−	1.00176i	−0.0117991	−	0.0363139i	0.944984	−	0.327118i	$-0.106077\pi$
$761$	−0.325493	−	1.00176i	−0.0117991	−	0.0363139i	−0.956783	+	0.290804i	$0.906077\pi$
$762$	−2.35411	+	3.24015i	−0.0852803	+	0.117378i
$763$	−3.73009	+	11.4800i	−0.135038	+	0.415605i
$764$	−13.6025	−	18.7223i	−0.492122	−	0.677348i
$765$		−	36.0628i		−	1.30385i
$766$	10.0396	−	3.26206i	0.362745	−	0.117863i
$767$	37.5953	+	51.7455i	1.35749	+	1.86842i
$768$	−3.34186	+	4.59967i	−0.120589	+	0.165976i
$769$	40.0583	+	29.1040i	1.44454	+	1.04952i	0.987070	+	0.160293i	$0.0512439\pi$
$769$	40.0583	+	29.1040i	1.44454	+	1.04952i	0.457469	+	0.889226i	$0.348756\pi$
$770$	15.5157			0.559146
$771$	5.36876	+	3.90063i	0.193351	+	0.140478i
$772$	−24.2006	−	7.86324i	−0.870997	−	0.283004i
$773$	22.9439	−	7.45493i	0.825235	−	0.268135i	0.134198	−	0.990955i	$-0.457154\pi$
$773$	22.9439	−	7.45493i	0.825235	−	0.268135i	0.691037	+	0.722819i	$0.257154\pi$
$774$	2.11995	−	1.54024i	0.0762001	−	0.0553626i
$775$	43.4238	−	31.5493i	1.55983	−	1.13328i
$776$			3.71729i			0.133443i
$777$	−1.23440	−	3.79910i	−0.0442839	−	0.136292i
$778$	−8.17901			−0.293232
$779$	−0.463661	+	9.74025i	−0.0166124	+	0.348981i
$780$	−9.56507			−0.342484
$781$	−16.0779	−	49.4827i	−0.575313	−	1.77063i
$782$		−	1.09992i		−	0.0393331i
$783$	17.7564	−	12.9008i	0.634561	−	0.461035i
$784$	0.403283	−	0.293002i	0.0144030	−	0.0104644i
$785$	36.2143	−	11.7667i	1.29254	−	0.419973i
$786$	−3.41192	−	1.10860i	−0.121699	−	0.0395425i
$787$	3.08939	+	2.24457i	0.110125	+	0.0800104i	0.641485	−	0.767136i	$-0.278319\pi$
$787$	3.08939	+	2.24457i	0.110125	+	0.0800104i	−0.531360	+	0.847146i	$0.678319\pi$
$788$	6.32195			0.225210
$789$	−3.96086	−	2.87774i	−0.141010	−	0.102450i
$790$	18.7317	−	25.7820i	0.666444	−	0.917282i
$791$	−4.22754	−	5.81871i	−0.150314	−	0.206890i
$792$	41.3682	−	13.4413i	1.46996	−	0.477618i
$793$		−	7.50885i		−	0.266647i
$794$	−10.5615	−	14.5366i	−0.374813	−	0.515885i
$795$	1.73191	−	5.33027i	0.0614245	−	0.189045i
$796$	−5.49930	+	7.56914i	−0.194918	+	0.268281i
$797$	0.311782	+	0.959566i	0.0110439	+	0.0339896i	0.956427	−	0.291973i	$-0.0943117\pi$
$797$	0.311782	+	0.959566i	0.0110439	+	0.0339896i	−0.945383	+	0.325962i	$0.894312\pi$
$798$	0.462507	+	0.150278i	0.0163726	+	0.00531978i
$799$	3.22444	−	9.92379i	0.114072	−	0.351079i
$800$	−11.7173	+	36.0620i	−0.414268	+	1.27498i
$801$	47.2321	+	15.3466i	1.66886	+	0.542247i
$802$	−1.19990	−	3.69290i	−0.0423698	−	0.130401i
$803$	1.90974	−	2.62853i	0.0673931	−	0.0927587i
$804$	−0.230458	+	0.709277i	−0.00812763	+	0.0250143i
$805$	0.725591	+	0.998690i	0.0255737	+	0.0351992i
$806$			35.4090i			1.24723i
$807$	4.88669	−	1.58778i	0.172020	−	0.0558926i
$808$	0.491239	+	0.676132i	0.0172817	+	0.0237862i
$809$	5.50743	−	7.58032i	0.193631	−	0.266510i	−0.701152	−	0.713012i	$-0.747330\pi$
$809$	5.50743	−	7.58032i	0.193631	−	0.266510i	0.894783	+	0.446502i	$0.147330\pi$
$810$	−16.9408	−	12.3082i	−0.595239	−	0.432467i
$811$	−10.0095			−0.351481			−0.175740	−	0.984437i	$-0.556232\pi$
$811$	−10.0095			−0.351481			−0.175740	+	0.984437i	$0.556232\pi$
$812$	−10.3567	−	7.52455i	−0.363447	−	0.264060i
$813$	−4.13496	−	1.34353i	−0.145019	−	0.0471196i
$814$	−44.0244	+	14.3044i	−1.54306	+	0.501369i
$815$	−7.96286	+	5.78536i	−0.278927	+	0.202652i
$816$	0.594425	−	0.431875i	0.0208091	−	0.0151187i
$817$			1.73340i			0.0606438i
$818$	1.12772	+	3.47077i	0.0394299	+	0.121353i
$819$	−15.1087			−0.527941
$820$	29.1917	+	1.38960i	1.01942	+	0.0485269i
$821$	7.81982			0.272914			0.136457	−	0.990646i	$-0.456429\pi$
$821$	7.81982			0.272914			0.136457	+	0.990646i	$0.456429\pi$
$822$	−1.62918	−	5.01409i	−0.0568241	−	0.174887i
$823$		−	10.8516i		−	0.378262i	−0.981952	−	0.189131i	$-0.939433\pi$
$823$		−	10.8516i		−	0.378262i	0.981952	−	0.189131i	$-0.0605671\pi$
$824$	−5.54830	+	4.03108i	−0.193284	+	0.140429i
$825$	−11.7501	+	8.53694i	−0.409086	+	0.297218i
$826$	−9.26904	+	3.01169i	−0.322511	+	0.104790i
$827$	−3.41854	−	1.11075i	−0.118874	−	0.0386246i	0.248976	−	0.968510i	$-0.419906\pi$
$827$	−3.41854	−	1.11075i	−0.118874	−	0.0386246i	−0.367850	+	0.929885i	$0.619906\pi$
$828$	1.12570	+	0.817872i	0.0391209	+	0.0284230i
$829$	−30.2884			−1.05196			−0.525980	−	0.850497i	$-0.676301\pi$
$829$	−30.2884			−1.05196			−0.525980	+	0.850497i	$0.676301\pi$
$830$	−4.03674	−	2.93286i	−0.140117	−	0.101801i
$831$	4.24457	−	5.84214i	0.147242	−	0.202662i
$832$	−11.5902	−	15.9526i	−0.401818	−	0.553055i
$833$	3.55312	−	1.15448i	0.123108	−	0.0400003i
$834$		−	2.00095i		−	0.0692873i
$835$	−3.74735	−	5.15778i	−0.129682	−	0.178492i
$836$	−3.57500	+	11.0027i	−0.123644	+	0.380537i
$837$	−11.1621	+	15.3634i	−0.385820	+	0.531036i
$838$	7.83951	+	24.1275i	0.270811	+	0.833471i
$839$	−12.3830	−	4.02348i	−0.427508	−	0.138906i	0.0873567	−	0.996177i	$-0.472158\pi$
$839$	−12.3830	−	4.02348i	−0.427508	−	0.138906i	−0.514865	+	0.857271i	$0.672158\pi$
$840$	1.12016	−	3.44750i	0.0386492	−	0.118950i
$841$	−19.0371	+	58.5901i	−0.656451	+	2.02035i
$842$	−11.7120	−	3.80545i	−0.403621	−	0.131144i
$843$	1.87074	+	5.75756i	0.0644318	+	0.198301i
$844$	11.6178	−	15.9906i	0.399902	−	0.550418i
$845$	15.9569	−	49.1103i	0.548934	−	1.68944i
$846$	−3.77944	−	5.20195i	−0.129940	−	0.178847i
$847$		−	20.9063i		−	0.718350i
$848$	−1.98447	+	0.644793i	−0.0681469	+	0.0221423i
$849$	2.49930	+	3.44000i	0.0857759	+	0.118060i
$850$	−11.5836	+	15.9434i	−0.397313	+	0.546855i
$851$	−2.97953	−	2.16475i	−0.102137	−	0.0742068i
$852$	−4.88740			−0.167439
$853$	36.5915	+	26.5853i	1.25287	+	0.910263i	0.998385	−	0.0568143i	$-0.0180943\pi$
$853$	36.5915	+	26.5853i	1.25287	+	0.910263i	0.254484	+	0.967077i	$0.418094\pi$
$854$	1.08816	+	0.353565i	0.0372361	+	0.0120987i
$855$	13.9808	−	4.54263i	0.478133	−	0.155355i
$856$	−19.3788	+	14.0796i	−0.662355	+	0.481229i
$857$	42.5692	−	30.9284i	1.45414	−	1.05649i	0.469295	−	0.883041i	$-0.344508\pi$
$857$	42.5692	−	30.9284i	1.45414	−	1.05649i	0.984842	−	0.173452i	$-0.0554920\pi$
$858$		−	9.58135i		−	0.327102i
$859$	−6.21367	−	19.1237i	−0.212008	−	0.652492i	−0.999353	−	0.0359795i	$-0.988545\pi$
$859$	−6.21367	−	19.1237i	−0.212008	−	0.652492i	0.787345	−	0.616513i	$-0.211455\pi$
$860$	5.19501			0.177148
$861$	−2.52339	−	0.120120i	−0.0859969	−	0.00409367i
$862$	−8.28462			−0.282175
$863$	−13.0153	−	40.0569i	−0.443045	−	1.36355i	−0.884613	−	0.466326i	$-0.845578\pi$
$863$	−13.0153	−	40.0569i	−0.443045	−	1.36355i	0.441568	−	0.897228i	$-0.354422\pi$
$864$		−	13.4153i		−	0.456399i
$865$	37.6310	−	27.3405i	1.27949	−	0.929606i
$866$	−4.81209	+	3.49619i	−0.163521	+	0.118805i
$867$	−1.14163	+	0.370937i	−0.0387717	+	0.0125977i
$868$	10.5342	+	3.42276i	0.357553	+	0.116176i
$869$	−53.0179	−	38.5198i	−1.79851	−	1.30669i
$870$	−10.3156			−0.349730
$871$	−6.04009	−	4.38839i	−0.204661	−	0.148695i
$872$	19.2086	−	26.4383i	0.650484	−	0.895315i
$873$	−2.29555	−	3.15956i	−0.0776927	−	0.106935i
$874$	0.426417	−	0.138551i	0.0144238	−	0.00468657i
$875$		−	5.14894i		−	0.174066i
$876$	−0.179392	−	0.246912i	−0.00606111	−	0.00834240i
$877$	−8.93062	+	27.4856i	−0.301565	+	0.928123i	0.679371	+	0.733795i	$0.262253\pi$
$877$	−8.93062	+	27.4856i	−0.301565	+	0.928123i	−0.980937	+	0.194328i	$0.937747\pi$
$878$	−15.9671	+	21.9768i	−0.538864	+	0.741683i
$879$	−0.133466	−	0.410765i	−0.00450168	−	0.0138548i
$880$	9.08805	+	2.95289i	0.306358	+	0.0995418i
$881$	8.04764	−	24.7681i	0.271132	−	0.834458i	−0.719085	−	0.694922i	$-0.755439\pi$
$881$	8.04764	−	24.7681i	0.271132	−	0.834458i	0.990217	−	0.139536i	$-0.0445611\pi$
$882$	0.711415	−	2.18951i	0.0239546	−	0.0737247i
$883$	−32.8245	−	10.6653i	−1.10463	−	0.358917i	−0.300750	−	0.953703i	$-0.597237\pi$
$883$	−32.8245	−	10.6653i	−1.10463	−	0.358917i	−0.803884	+	0.594786i	$0.797237\pi$
$884$	8.24739	+	25.3829i	0.277390	+	0.853718i
$885$	9.47645	−	13.0432i	0.318547	−	0.438443i
$886$	9.64677	−	29.6897i	0.324090	−	0.997446i
$887$	−13.1247	−	18.0646i	−0.440684	−	0.606550i	0.529680	−	0.848198i	$-0.322312\pi$
$887$	−13.1247	−	18.0646i	−0.440684	−	0.606550i	−0.970364	+	0.241648i	$0.922312\pi$
$888$			10.8147i			0.362917i
$889$	−11.9281	+	3.87567i	−0.400056	+	0.129986i
$890$	−28.1903	−	38.8006i	−0.944941	−	1.30060i
$891$	−25.3105	+	34.8370i	−0.847935	+	1.16708i
$892$	14.5758	+	10.5899i	0.488034	+	0.354577i
$893$	4.25341			0.142335
$894$	1.47164	+	1.06921i	0.0492191	+	0.0357598i
$895$	−14.7767	−	4.80126i	−0.493932	−	0.160488i
$896$	−8.20917	+	2.66732i	−0.274249	+	0.0891090i
$897$	0.616718	−	0.448072i	0.0205916	−	0.0149607i
$898$	11.9398	−	8.67479i	0.398437	−	0.289481i
$899$		−	78.3946i		−	2.61461i
$900$	−7.70391	−	23.7102i	−0.256797	−	0.790339i
$901$	−15.6383			−0.520987
$902$	−1.39196	+	29.2414i	−0.0463473	+	0.973631i
$903$	−0.449067			−0.0149440
$904$	6.01716	+	18.5189i	0.200128	+	0.615930i
$905$			9.89244i			0.328836i
$906$	0.251844	−	0.182975i	0.00836695	−	0.00607895i
$907$	21.9950	−	15.9803i	0.730332	−	0.530617i	−0.159336	−	0.987224i	$-0.550935\pi$
$907$	21.9950	−	15.9803i	0.730332	−	0.530617i	0.889669	+	0.456607i	$0.150935\pi$
$908$	−33.6564	+	10.9356i	−1.11693	+	0.362911i
$909$	−0.835069	−	0.271330i	−0.0276975	−	0.00899946i
$910$	11.8042	+	8.57623i	0.391304	+	0.284299i
$911$	−43.9725			−1.45688			−0.728438	−	0.685112i	$-0.759753\pi$
$911$	−43.9725			−1.45688			−0.728438	+	0.685112i	$0.759753\pi$
$912$	0.242306	+	0.176045i	0.00802355	+	0.00582945i
$913$	−6.03112	+	8.30112i	−0.199601	+	0.274727i
$914$	−3.41211	−	4.69637i	−0.112863	−	0.155342i
$915$	−1.80008	+	0.584881i	−0.0595088	+	0.0193356i
$916$		−	21.8385i		−	0.721564i
$917$	−6.60342	−	9.08882i	−0.218064	−	0.300139i
$918$	2.15459	−	6.63114i	0.0711120	−	0.218860i
$919$	8.28881	−	11.4086i	0.273423	−	0.376334i	−0.650119	−	0.759833i	$-0.725281\pi$
$919$	8.28881	−	11.4086i	0.273423	−	0.376334i	0.923541	+	0.383499i	$0.125281\pi$
$920$	−1.03275	−	3.17848i	−0.0340488	−	0.104791i
$921$	8.94472	+	2.90632i	0.294739	+	0.0957664i
$922$	−2.89811	+	8.91948i	−0.0954443	+	0.293747i
$923$	15.1195	−	46.5329i	0.497663	−	1.53165i
$924$	−2.85045	−	0.926168i	−0.0937730	−	0.0304687i
$925$	20.3908	+	62.7564i	0.670445	+	2.06342i
$926$	−8.53200	+	11.7433i	−0.280379	+	0.385908i
$927$	2.22652	−	6.85253i	0.0731285	−	0.225066i
$928$	32.5520	+	44.8040i	1.06857	+	1.47076i
$929$			11.4655i			0.376170i	0.982153	+	0.188085i	$0.0602280\pi$
$929$			11.4655i			0.376170i	−0.982153	+	0.188085i	$0.939772\pi$
$930$	8.48851	−	2.75809i	0.278349	−	0.0904412i
$931$	0.895135	+	1.23205i	0.0293369	+	0.0403787i
$932$	−16.5825	+	22.8239i	−0.543178	+	0.747620i
$933$	−8.10579	−	5.88920i	−0.265372	−	0.192804i
$934$	27.3808			0.895928
$935$	57.9393	+	42.0954i	1.89482	+	1.37667i
$936$	38.9022	+	12.6401i	1.27156	+	0.413154i
$937$	−18.5583	+	6.02997i	−0.606274	+	0.196990i	−0.596037	−	0.802957i	$-0.703259\pi$
$937$	−18.5583	+	6.02997i	−0.606274	+	0.196990i	−0.0102375	+	0.999948i	$0.503259\pi$
$938$	0.920358	−	0.668680i	0.0300508	−	0.0218332i
$939$	6.58393	−	4.78350i	0.214858	−	0.156104i
$940$		−	12.7475i		−	0.415779i
$941$	2.72713	+	8.39324i	0.0889018	+	0.273612i	0.985617	−	0.168997i	$-0.0540529\pi$
$941$	2.72713	+	8.39324i	0.0889018	+	0.273612i	−0.896715	+	0.442609i	$0.854053\pi$
$942$	3.58297			0.116739
$943$	−1.94726	+	1.27788i	−0.0634115	+	0.0416134i
$944$	−6.00236			−0.195360
$945$	2.41811	+	7.44217i	0.0786610	+	0.242094i
$946$			5.20385i			0.169192i
$947$	0.642411	−	0.466739i	0.0208756	−	0.0151670i	−0.577299	−	0.816533i	$-0.695893\pi$
$947$	0.642411	−	0.466739i	0.0208756	−	0.0151670i	0.598174	+	0.801366i	$0.295893\pi$
$948$	−4.98027	+	3.61838i	−0.161752	+	0.117519i
$949$	2.90582	−	0.944157i	0.0943268	−	0.0306486i
$950$	−7.64005	−	2.48240i	−0.247876	−	0.0805398i
$951$	2.83903	+	2.06268i	0.0920619	+	0.0668869i
$952$	−10.1145			−0.327812
$953$	22.0802	+	16.0422i	0.715248	+	0.519658i	0.884862	−	0.465853i	$-0.154252\pi$
$953$	22.0802	+	16.0422i	0.715248	+	0.519658i	−0.169615	+	0.985510i	$0.554252\pi$
$954$	−5.66428	+	7.79622i	−0.183388	+	0.252412i
$955$	−34.3248	−	47.2440i	−1.11072	−	1.52878i
$956$	12.9683	−	4.21365i	0.419424	−	0.136279i
$957$			21.2129i			0.685714i
$958$	0.0733272	+	0.100926i	0.00236910	+	0.00326078i
$959$	5.10183	−	15.7018i	0.164747	−	0.507038i
$960$	−2.92148	+	4.02107i	−0.0942904	+	0.129780i
$961$	11.3809	+	35.0269i	0.367127	+	1.12990i
$962$	−41.4001	−	13.4517i	−1.33479	−	0.433700i
$963$	7.77669	−	23.9342i	0.250600	−	0.771268i
$964$	10.0735	−	31.0031i	0.324446	−	0.998542i
$965$	−61.0680	−	19.8422i	−1.96585	−	0.638743i
$966$	0.0358942	+	0.110471i	0.00115488	+	0.00355435i
$967$	36.0132	−	49.5679i	1.15811	−	1.59400i	0.440119	−	0.897939i	$-0.354936\pi$
$967$	36.0132	−	49.5679i	1.15811	−	1.59400i	0.717987	−	0.696057i	$-0.245064\pi$
$968$	−17.4904	+	53.8300i	−0.562164	+	1.73016i
$969$	1.31940	+	1.81600i	0.0423852	+	0.0583382i
$970$			3.77154i			0.121097i
$971$	20.2285	−	6.57263i	0.649163	−	0.210926i	0.0341180	−	0.999418i	$-0.489138\pi$
$971$	20.2285	−	6.57263i	0.649163	−	0.210926i	0.615045	+	0.788492i	$0.289138\pi$
$972$	7.84576	+	10.7988i	0.251653	+	0.346371i
$973$	3.68309	−	5.06934i	0.118074	−	0.162516i
$974$	−1.00837	−	0.732625i	−0.0323103	−	0.0234748i
$975$	−13.6581			−0.437410
$976$	0.570083	+	0.414190i	0.0182479	+	0.0132579i
$977$	13.1742	+	4.28057i	0.421482	+	0.136948i	0.512076	−	0.858940i	$-0.328877\pi$
$977$	13.1742	+	4.28057i	0.421482	+	0.136948i	−0.0905943	+	0.995888i	$0.528877\pi$
$978$	−0.880820	+	0.286196i	−0.0281655	+	0.00915153i
$979$	−79.7893	+	57.9703i	−2.55008	+	1.85274i
$980$	3.69246	−	2.68273i	0.117951	−	0.0856967i
$981$			34.3335i			1.09619i
$982$	−2.34399	−	7.21405i	−0.0747997	−	0.230210i
$983$	44.1313			1.40757			0.703784	−	0.710414i	$-0.251492\pi$
$983$	44.1313			1.40757			0.703784	+	0.710414i	$0.251492\pi$
$984$	6.39677	+	2.42038i	0.203922	+	0.0771588i
$985$	15.9529			0.508301
$986$	8.89450	+	27.3745i	0.283259	+	0.871780i
$987$			1.10192i			0.0350746i
$988$	−8.80153	+	6.39469i	−0.280014	+	0.203442i
$989$	−0.334954	+	0.243358i	−0.0106509	+	0.00773834i
$990$	41.9720	−	13.6375i	1.33396	−	0.433429i
$991$	4.91501	+	1.59698i	0.156131	+	0.0507299i	0.386039	−	0.922482i	$-0.373843\pi$
$991$	4.91501	+	1.59698i	0.156131	+	0.0507299i	−0.229909	+	0.973212i	$0.573843\pi$
$992$	−38.7658	−	28.1650i	−1.23082	−	0.894240i
$993$	9.79096			0.310707
$994$	6.03149	+	4.38214i	0.191307	+	0.138993i
$995$	−13.8770	+	19.1001i	−0.439931	+	0.605513i
$996$	0.566537	+	0.779771i	0.0179514	+	0.0247080i
$997$	39.9002	−	12.9644i	1.26365	−	0.410585i	0.400857	−	0.916141i	$-0.368712\pi$
$997$	39.9002	−	12.9644i	1.26365	−	0.410585i	0.862794	+	0.505555i	$0.168712\pi$
$998$		−	0.319644i		−	0.0101182i
$999$	−13.7223	−	18.8872i	−0.434156	−	0.597564i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	287.2.n.a.64.9	✓	88
41.25	even	10	inner	287.2.n.a.148.9	yes	88

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
287.2.n.a.64.9	✓	88	1.1	even	1	trivial
287.2.n.a.148.9	yes	88	41.25	even	10	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 $\F_{q}$

Level:	\( N \)	\(=\)	\( 287 = 7 \cdot 41 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	287.n (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.250116 - 0.769777i) q^{2} +0.394533i q^{3} +(1.08803 - 0.790504i) q^{4} +(2.74556 - 1.99477i) q^{5} +(0.303703 - 0.0986791i) q^{6} +(0.951057 + 0.309017i) q^{7} +(-2.19027 - 1.59132i) q^{8} +2.84434 q^{9} +O(q^{10})\)	\(q+(-0.250116 - 0.769777i) q^{2} +0.394533i q^{3} +(1.08803 - 0.790504i) q^{4} +(2.74556 - 1.99477i) q^{5} +(0.303703 - 0.0986791i) q^{6} +(0.951057 + 0.309017i) q^{7} +(-2.19027 - 1.59132i) q^{8} +2.84434 q^{9} +(-2.22224 - 1.61455i) q^{10} +(-3.32015 + 4.56979i) q^{11} +(0.311880 + 0.429266i) q^{12} +(-5.05187 + 1.64145i) q^{13} -0.809392i q^{14} +(0.787002 + 1.08322i) q^{15} +(0.154040 - 0.474088i) q^{16} +(2.19595 - 3.02246i) q^{17} +(-0.711415 - 2.18951i) q^{18} +(1.44836 + 0.470600i) q^{19} +(1.41040 - 4.34075i) q^{20} +(-0.121918 + 0.375224i) q^{21} +(4.34814 + 1.41280i) q^{22} +(0.112404 + 0.345944i) q^{23} +(0.627831 - 0.864135i) q^{24} +(2.01393 - 6.19823i) q^{25} +(2.52710 + 3.47826i) q^{26} +2.30579i q^{27} +(1.27906 - 0.415592i) q^{28} +(-5.59494 - 7.70078i) q^{29} +(0.636993 - 0.876746i) q^{30} +(6.66295 + 4.84092i) q^{31} -5.81811 q^{32} +(-1.80293 - 1.30991i) q^{33} +(-2.87587 - 0.934425i) q^{34} +(3.22760 - 1.04871i) q^{35} +(3.09474 - 2.24846i) q^{36} +(-8.19121 + 5.95126i) q^{37} -1.23262i q^{38} +(-0.647607 - 1.99313i) q^{39} -9.18784 q^{40} +(1.68688 + 6.17693i) q^{41} +0.319332 q^{42} +(0.351731 + 1.08252i) q^{43} +7.59668i q^{44} +(7.80932 - 5.67380i) q^{45} +(0.238186 - 0.173052i) q^{46} +(2.65628 - 0.863078i) q^{47} +(0.187043 + 0.0607741i) q^{48} +(0.809017 + 0.587785i) q^{49} -5.27497 q^{50} +(1.19246 + 0.866375i) q^{51} +(-4.19903 + 5.77947i) q^{52} +(-2.46039 - 3.38644i) q^{53} +(1.77494 - 0.576714i) q^{54} +19.1696i q^{55} +(-1.59132 - 2.19027i) q^{56} +(-0.185668 + 0.571426i) q^{57} +(-4.52850 + 6.23294i) q^{58} +(-3.72094 - 11.4519i) q^{59} +(1.71257 + 0.556448i) q^{60} +(-0.436828 + 1.34442i) q^{61} +(2.05992 - 6.33978i) q^{62} +(2.70513 + 0.878950i) q^{63} +(1.14712 + 3.53048i) q^{64} +(-10.5959 + 14.5840i) q^{65} +(-0.557395 + 1.71549i) q^{66} +(0.826151 + 1.13710i) q^{67} -5.02445i q^{68} +(-0.136487 + 0.0443472i) q^{69} +(-1.61455 - 2.22224i) q^{70} +(-5.41411 + 7.45189i) q^{71} +(-6.22988 - 4.52627i) q^{72} -0.575197 q^{73} +(6.62990 + 4.81690i) q^{74} +(2.44541 + 0.794562i) q^{75} +(1.94788 - 0.632903i) q^{76} +(-4.56979 + 3.32015i) q^{77} +(-1.37229 + 0.997027i) q^{78} +11.6018i q^{79} +(-0.522767 - 1.60891i) q^{80} +7.62332 q^{81} +(4.33294 - 2.84347i) q^{82} +1.81652 q^{83} +(0.163965 + 0.504633i) q^{84} -12.6788i q^{85} +(0.745322 - 0.541508i) q^{86} +(3.03821 - 2.20739i) q^{87} +(14.5440 - 4.72564i) q^{88} +(16.6056 + 5.39549i) q^{89} +(-6.32080 - 4.59233i) q^{90} -5.31185 q^{91} +(0.395770 + 0.287543i) q^{92} +(-1.90990 + 2.62876i) q^{93} +(-1.32876 - 1.82888i) q^{94} +(4.91530 - 1.59708i) q^{95} -2.29544i q^{96} +(-0.807059 - 1.11082i) q^{97} +(0.250116 - 0.769777i) q^{98} +(-9.44364 + 12.9980i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 88 q - 24 q^{4} + 8 q^{5} + 10 q^{6} - 18 q^{8} - 116 q^{9}+O(q^{10}) \) 88 * q - 24 * q^4 + 8 * q^5 + 10 * q^6 - 18 * q^8 - 116 * q^9	\( 88 q - 24 q^{4} + 8 q^{5} + 10 q^{6} - 18 q^{8} - 116 q^{9} + 36 q^{10} - 10 q^{11} + 20 q^{15} - 12 q^{16} - 10 q^{17} + 20 q^{18} + 30 q^{19} - 30 q^{20} + 4 q^{21} - 20 q^{22} - 12 q^{23} + 60 q^{24} - 50 q^{25} - 30 q^{26} + 2 q^{31} + 24 q^{32} - 46 q^{33} + 50 q^{34} + 86 q^{36} - 48 q^{37} + 16 q^{39} - 60 q^{40} - 24 q^{41} - 4 q^{42} + 22 q^{43} - 16 q^{45} + 20 q^{46} + 20 q^{48} + 22 q^{49} - 16 q^{50} + 8 q^{51} + 70 q^{52} - 30 q^{54} + 8 q^{57} - 90 q^{58} - 4 q^{59} - 50 q^{60} - 64 q^{61} - 44 q^{62} + 14 q^{64} + 80 q^{65} - 26 q^{66} + 10 q^{67} + 40 q^{71} + 18 q^{72} + 124 q^{73} + 80 q^{74} + 70 q^{75} - 190 q^{76} + 8 q^{77} + 74 q^{78} + 26 q^{80} + 144 q^{81} - 58 q^{82} - 60 q^{83} + 26 q^{84} + 10 q^{86} + 8 q^{87} + 160 q^{88} - 164 q^{90} - 40 q^{91} - 156 q^{92} - 20 q^{93} + 10 q^{94} + 80 q^{95} - 90 q^{97} - 40 q^{99}+O(q^{100}) \) 88 * q - 24 * q^4 + 8 * q^5 + 10 * q^6 - 18 * q^8 - 116 * q^9 + 36 * q^10 - 10 * q^11 + 20 * q^15 - 12 * q^16 - 10 * q^17 + 20 * q^18 + 30 * q^19 - 30 * q^20 + 4 * q^21 - 20 * q^22 - 12 * q^23 + 60 * q^24 - 50 * q^25 - 30 * q^26 + 2 * q^31 + 24 * q^32 - 46 * q^33 + 50 * q^34 + 86 * q^36 - 48 * q^37 + 16 * q^39 - 60 * q^40 - 24 * q^41 - 4 * q^42 + 22 * q^43 - 16 * q^45 + 20 * q^46 + 20 * q^48 + 22 * q^49 - 16 * q^50 + 8 * q^51 + 70 * q^52 - 30 * q^54 + 8 * q^57 - 90 * q^58 - 4 * q^59 - 50 * q^60 - 64 * q^61 - 44 * q^62 + 14 * q^64 + 80 * q^65 - 26 * q^66 + 10 * q^67 + 40 * q^71 + 18 * q^72 + 124 * q^73 + 80 * q^74 + 70 * q^75 - 190 * q^76 + 8 * q^77 + 74 * q^78 + 26 * q^80 + 144 * q^81 - 58 * q^82 - 60 * q^83 + 26 * q^84 + 10 * q^86 + 8 * q^87 + 160 * q^88 - 164 * q^90 - 40 * q^91 - 156 * q^92 - 20 * q^93 + 10 * q^94 + 80 * q^95 - 90 * q^97 - 40 * q^99

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