LMFDB - Embedded newform 950.2.n.b.39.14

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [950,2,Mod(39,950)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(950, base_ring=CyclotomicField(10))

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

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

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

chi := DirichletCharacter("950.39");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 950 = 2 \cdot 5^{2} \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	950.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:	$7.58578819202$
Analytic rank:	$0$
Dimension:	$96$
Relative dimension:	$24$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			39.14
Character	$\chi$	$=$	950.39
Dual form			950.2.n.b.609.14

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.587785 + 0.809017i) q^{2} +(-2.52973 - 0.821960i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(1.13666 - 1.92562i) q^{5} +(-0.821960 - 2.52973i) q^{6} +1.29013i q^{7} +(-0.951057 + 0.309017i) q^{8} +(3.29688 + 2.39532i) q^{9} +O(q^{10})$	\(q+(0.587785 + 0.809017i) q^{2} +(-2.52973 - 0.821960i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(1.13666 - 1.92562i) q^{5} +(-0.821960 - 2.52973i) q^{6} +1.29013i q^{7} +(-0.951057 + 0.309017i) q^{8} +(3.29688 + 2.39532i) q^{9} +(2.22597 - 0.212273i) q^{10} +(0.917984 - 0.666955i) q^{11} +(1.56346 - 2.15192i) q^{12} +(-0.986113 + 1.35727i) q^{13} +(-1.04374 + 0.758321i) q^{14} +(-4.45823 + 3.93701i) q^{15} +(-0.809017 - 0.587785i) q^{16} +(0.899280 - 0.292194i) q^{17} +4.07516i q^{18} +(-0.309017 - 0.951057i) q^{19} +(1.48012 + 1.67608i) q^{20} +(1.06044 - 3.26369i) q^{21} +(1.07916 + 0.350639i) q^{22} +(2.69559 + 3.71016i) q^{23} +2.65992 q^{24} +(-2.41601 - 4.37754i) q^{25} -1.67768 q^{26} +(-1.68098 - 2.31367i) q^{27} +(-1.22699 - 0.398673i) q^{28} +(2.61828 - 8.05824i) q^{29} +(-5.80559 - 1.29266i) q^{30} +(-3.02824 - 9.31997i) q^{31} -1.00000i q^{32} +(-2.87046 + 0.932670i) q^{33} +(0.764973 + 0.555786i) q^{34} +(2.48430 + 1.46644i) q^{35} +(-3.29688 + 2.39532i) q^{36} +(6.25544 - 8.60987i) q^{37} +(0.587785 - 0.809017i) q^{38} +(3.61022 - 2.62298i) q^{39} +(-0.485979 + 2.18262i) q^{40} +(-1.54328 - 1.12126i) q^{41} +(3.26369 - 1.06044i) q^{42} +7.04834i q^{43} +(0.350639 + 1.07916i) q^{44} +(8.35990 - 3.62586i) q^{45} +(-1.41715 + 4.36155i) q^{46} +(2.38982 + 0.776501i) q^{47} +(1.56346 + 2.15192i) q^{48} +5.33556 q^{49} +(2.12141 - 4.52765i) q^{50} -2.51511 q^{51} +(-0.986113 - 1.35727i) q^{52} +(0.657225 + 0.213545i) q^{53} +(0.883742 - 2.71988i) q^{54} +(-0.240864 - 2.52579i) q^{55} +(-0.398673 - 1.22699i) q^{56} +2.65992i q^{57} +(8.05824 - 2.61828i) q^{58} +(-2.44201 - 1.77422i) q^{59} +(-2.36665 - 5.45663i) q^{60} +(11.0803 - 8.05033i) q^{61} +(5.76006 - 7.92804i) q^{62} +(-3.09028 + 4.25341i) q^{63} +(0.809017 - 0.587785i) q^{64} +(1.49271 + 3.44163i) q^{65} +(-2.44176 - 1.77404i) q^{66} +(14.7467 - 4.79150i) q^{67} +0.945559i q^{68} +(-3.76952 - 11.6014i) q^{69} +(0.273860 + 2.87179i) q^{70} +(-1.64381 + 5.05912i) q^{71} +(-3.87571 - 1.25929i) q^{72} +(-5.82024 - 8.01087i) q^{73} +10.6424 q^{74} +(2.51369 + 13.0599i) q^{75} +1.00000 q^{76} +(0.860459 + 1.18432i) q^{77} +(4.24407 + 1.37898i) q^{78} +(2.12127 - 6.52859i) q^{79} +(-2.05143 + 0.889746i) q^{80} +(-1.42720 - 4.39248i) q^{81} -1.90760i q^{82} +(-10.0823 + 3.27595i) q^{83} +(2.77626 + 2.01707i) q^{84} +(0.459522 - 2.06380i) q^{85} +(-5.70223 + 4.14291i) q^{86} +(-13.2471 + 18.2331i) q^{87} +(-0.666955 + 0.917984i) q^{88} +(0.905582 - 0.657944i) q^{89} +(7.84721 + 4.63207i) q^{90} +(-1.75106 - 1.27222i) q^{91} +(-4.36155 + 1.41715i) q^{92} +26.0661i q^{93} +(0.776501 + 2.38982i) q^{94} +(-2.18262 - 0.485979i) q^{95} +(-0.821960 + 2.52973i) q^{96} +(-4.29010 - 1.39394i) q^{97} +(3.13616 + 4.31656i) q^{98} +4.62405 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 96 q + 24 q^{4} + 8 q^{5} - 6 q^{6} + 34 q^{9}+O(q^{10}) $ 96 * q + 24 * q^4 + 8 * q^5 - 6 * q^6 + 34 * q^9	$ 96 q + 24 q^{4} + 8 q^{5} - 6 q^{6} + 34 q^{9} - 24 q^{11} + 10 q^{12} + 10 q^{14} - 8 q^{15} - 24 q^{16} + 30 q^{17} + 24 q^{19} + 2 q^{20} - 24 q^{24} - 60 q^{25} + 84 q^{26} - 30 q^{27} - 10 q^{28} - 4 q^{29} + 16 q^{30} - 14 q^{31} + 100 q^{33} + 8 q^{34} + 42 q^{35} - 34 q^{36} - 30 q^{37} + 32 q^{39} + 12 q^{41} + 10 q^{42} + 4 q^{44} - 18 q^{45} - 10 q^{46} + 10 q^{48} - 132 q^{49} - 36 q^{50} + 36 q^{51} + 30 q^{53} + 24 q^{54} - 4 q^{55} - 10 q^{56} + 60 q^{58} + 16 q^{59} + 8 q^{60} + 42 q^{61} - 110 q^{63} + 24 q^{64} + 12 q^{65} - 20 q^{66} + 130 q^{67} - 8 q^{69} + 20 q^{70} - 8 q^{71} - 120 q^{73} - 124 q^{74} - 24 q^{75} + 96 q^{76} - 50 q^{78} + 4 q^{79} - 2 q^{80} - 10 q^{81} - 70 q^{83} + 52 q^{85} - 44 q^{86} - 70 q^{87} + 10 q^{88} - 26 q^{89} + 32 q^{90} - 4 q^{91} - 10 q^{92} + 10 q^{94} + 2 q^{95} - 6 q^{96} - 10 q^{97} - 60 q^{98} - 184 q^{99}+O(q^{100}) $ 96 * q + 24 * q^4 + 8 * q^5 - 6 * q^6 + 34 * q^9 - 24 * q^11 + 10 * q^12 + 10 * q^14 - 8 * q^15 - 24 * q^16 + 30 * q^17 + 24 * q^19 + 2 * q^20 - 24 * q^24 - 60 * q^25 + 84 * q^26 - 30 * q^27 - 10 * q^28 - 4 * q^29 + 16 * q^30 - 14 * q^31 + 100 * q^33 + 8 * q^34 + 42 * q^35 - 34 * q^36 - 30 * q^37 + 32 * q^39 + 12 * q^41 + 10 * q^42 + 4 * q^44 - 18 * q^45 - 10 * q^46 + 10 * q^48 - 132 * q^49 - 36 * q^50 + 36 * q^51 + 30 * q^53 + 24 * q^54 - 4 * q^55 - 10 * q^56 + 60 * q^58 + 16 * q^59 + 8 * q^60 + 42 * q^61 - 110 * q^63 + 24 * q^64 + 12 * q^65 - 20 * q^66 + 130 * q^67 - 8 * q^69 + 20 * q^70 - 8 * q^71 - 120 * q^73 - 124 * q^74 - 24 * q^75 + 96 * q^76 - 50 * q^78 + 4 * q^79 - 2 * q^80 - 10 * q^81 - 70 * q^83 + 52 * q^85 - 44 * q^86 - 70 * q^87 + 10 * q^88 - 26 * q^89 + 32 * q^90 - 4 * q^91 - 10 * q^92 + 10 * q^94 + 2 * q^95 - 6 * q^96 - 10 * q^97 - 60 * q^98 - 184 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/950\mathbb{Z}\right)^\times$.

$n$	$77$	$401$
$\chi(n)$	$e\left(\frac{3}{10}\right)$	$1$

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 $

$2$	0.587785	+	0.809017i	0.415627	+	0.572061i
$2$	0.587785	+	0.809017i	0.415627	+	0.572061i
$3$	−2.52973	−	0.821960i	−1.46054	−	0.474559i	−0.532306	−	0.846552i	$-0.678674\pi$
$3$	−2.52973	−	0.821960i	−1.46054	−	0.474559i	−0.928235	+	0.371993i	$0.878674\pi$
$4$	−0.309017	+	0.951057i	−0.154508	+	0.475528i
$5$	1.13666	−	1.92562i	0.508330	−	0.861163i
$5$	1.13666	−	1.92562i	0.508330	−	0.861163i
$6$	−0.821960	−	2.52973i	−0.335564	−	1.03276i
$7$			1.29013i			0.487624i	0.969823	+	0.243812i	$0.0783980\pi$
$7$			1.29013i			0.487624i	−0.969823	+	0.243812i	$0.921602\pi$
$8$	−0.951057	+	0.309017i	−0.336249	+	0.109254i
$9$	3.29688	+	2.39532i	1.09896	+	0.798440i
$10$	2.22597	−	0.212273i	0.703913	−	0.0671266i
$11$	0.917984	−	0.666955i	0.276783	−	0.201094i	−0.440730	−	0.897640i	$-0.645280\pi$
$11$	0.917984	−	0.666955i	0.276783	−	0.201094i	0.717513	+	0.696545i	$0.245280\pi$
$12$	1.56346	−	2.15192i	0.451332	−	0.621205i
$13$	−0.986113	+	1.35727i	−0.273499	+	0.376439i	−0.923567	−	0.383437i	$-0.874740\pi$
$13$	−0.986113	+	1.35727i	−0.273499	+	0.376439i	0.650068	+	0.759876i	$0.274740\pi$
$14$	−1.04374	+	0.758321i	−0.278951	+	0.202670i
$15$	−4.45823	+	3.93701i	−1.15111	+	1.01653i
$16$	−0.809017	−	0.587785i	−0.202254	−	0.146946i
$17$	0.899280	−	0.292194i	0.218108	−	0.0708674i	−0.197925	−	0.980217i	$-0.563420\pi$
$17$	0.899280	−	0.292194i	0.218108	−	0.0708674i	0.416033	+	0.909350i	$0.363420\pi$
$18$			4.07516i			0.960525i
$19$	−0.309017	−	0.951057i	−0.0708934	−	0.218187i
$19$	−0.309017	−	0.951057i	−0.0708934	−	0.218187i
$20$	1.48012	+	1.67608i	0.330966	+	0.374782i
$21$	1.06044	−	3.26369i	0.231406	−	0.712195i
$22$	1.07916	+	0.350639i	0.230077	+	0.0747564i
$23$	2.69559	+	3.71016i	0.562069	+	0.773622i	0.991588	−	0.129436i	$-0.0413168\pi$
$23$	2.69559	+	3.71016i	0.562069	+	0.773622i	−0.429519	+	0.903058i	$0.641317\pi$
$24$	2.65992			0.542953
$25$	−2.41601	−	4.37754i	−0.483202	−	0.875509i
$26$	−1.67768			−0.329019
$27$	−1.68098	−	2.31367i	−0.323504	−	0.445265i
$28$	−1.22699	−	0.398673i	−0.231879	−	0.0753421i
$29$	2.61828	−	8.05824i	0.486202	−	1.49638i	−0.344029	−	0.938959i	$-0.611792\pi$
$29$	2.61828	−	8.05824i	0.486202	−	1.49638i	0.830232	−	0.557418i	$-0.188208\pi$
$30$	−5.80559	−	1.29266i	−1.05995	−	0.236007i
$31$	−3.02824	−	9.31997i	−0.543889	−	1.67392i	−0.723618	−	0.690201i	$-0.757522\pi$
$31$	−3.02824	−	9.31997i	−0.543889	−	1.67392i	0.179729	−	0.983716i	$-0.442478\pi$
$32$		−	1.00000i		−	0.176777i
$33$	−2.87046	+	0.932670i	−0.499684	+	0.162357i
$34$	0.764973	+	0.555786i	0.131192	+	0.0953165i
$35$	2.48430	+	1.46644i	0.419924	+	0.247874i
$36$	−3.29688	+	2.39532i	−0.549479	+	0.399220i
$37$	6.25544	−	8.60987i	1.02839	−	1.41545i	0.122237	−	0.992501i	$-0.460993\pi$
$37$	6.25544	−	8.60987i	1.02839	−	1.41545i	0.906151	−	0.422954i	$-0.139007\pi$
$38$	0.587785	−	0.809017i	0.0953514	−	0.131240i
$39$	3.61022	−	2.62298i	0.578098	−	0.420013i
$40$	−0.485979	+	2.18262i	−0.0768400	+	0.345102i
$41$	−1.54328	−	1.12126i	−0.241020	−	0.175111i	0.460718	−	0.887547i	$-0.347592\pi$
$41$	−1.54328	−	1.12126i	−0.241020	−	0.175111i	−0.701737	+	0.712436i	$0.747592\pi$
$42$	3.26369	−	1.06044i	0.503598	−	0.163629i
$43$			7.04834i			1.07486i	0.843308	+	0.537431i	$0.180605\pi$
$43$			7.04834i			1.07486i	−0.843308	+	0.537431i	$0.819395\pi$
$44$	0.350639	+	1.07916i	0.0528608	+	0.162689i
$45$	8.35990	−	3.62586i	1.24622	−	0.540511i
$46$	−1.41715	+	4.36155i	−0.208948	+	0.643076i
$47$	2.38982	+	0.776501i	0.348592	+	0.113264i	0.478079	−	0.878317i	$-0.341333\pi$
$47$	2.38982	+	0.776501i	0.348592	+	0.113264i	−0.129488	+	0.991581i	$0.541333\pi$
$48$	1.56346	+	2.15192i	0.225666	+	0.310603i
$49$	5.33556			0.762223
$50$	2.12141	−	4.52765i	0.300013	−	0.640306i
$51$	−2.51511			−0.352186
$52$	−0.986113	−	1.35727i	−0.136749	−	0.188219i
$53$	0.657225	+	0.213545i	0.0902768	+	0.0293327i	0.353807	−	0.935318i	$-0.384887\pi$
$53$	0.657225	+	0.213545i	0.0902768	+	0.0293327i	−0.263530	+	0.964651i	$0.584887\pi$
$54$	0.883742	−	2.71988i	0.120262	−	0.370128i
$55$	−0.240864	−	2.52579i	−0.0324781	−	0.340577i
$56$	−0.398673	−	1.22699i	−0.0532749	−	0.163963i
$57$			2.65992i			0.352315i
$58$	8.05824	−	2.61828i	1.05810	−	0.343797i
$59$	−2.44201	−	1.77422i	−0.317922	−	0.230984i	0.417366	−	0.908738i	$-0.362953\pi$
$59$	−2.44201	−	1.77422i	−0.317922	−	0.230984i	−0.735288	+	0.677754i	$0.762953\pi$
$60$	−2.36665	−	5.45663i	−0.305533	−	0.704448i
$61$	11.0803	−	8.05033i	1.41869	−	1.03074i	0.426705	−	0.904391i	$-0.359674\pi$
$61$	11.0803	−	8.05033i	1.41869	−	1.03074i	0.991986	−	0.126348i	$-0.0403256\pi$
$62$	5.76006	−	7.92804i	0.731528	−	1.00686i
$63$	−3.09028	+	4.25341i	−0.389339	+	0.535879i
$64$	0.809017	−	0.587785i	0.101127	−	0.0734732i
$65$	1.49271	+	3.44163i	0.185147	+	0.426882i
$66$	−2.44176	−	1.77404i	−0.300560	−	0.218370i
$67$	14.7467	−	4.79150i	1.80160	−	0.585375i	0.801677	−	0.597758i	$-0.203942\pi$
$67$	14.7467	−	4.79150i	1.80160	−	0.585375i	0.999923	+	0.0123825i	$0.00394158\pi$
$68$			0.945559i			0.114666i
$69$	−3.76952	−	11.6014i	−0.453796	−	1.39664i
$70$	0.273860	+	2.87179i	0.0327325	+	0.343245i
$71$	−1.64381	+	5.05912i	−0.195084	+	0.600407i	0.804891	+	0.593422i	$0.202223\pi$
$71$	−1.64381	+	5.05912i	−0.195084	+	0.600407i	−0.999976	+	0.00698525i	$0.997777\pi$
$72$	−3.87571	−	1.25929i	−0.456757	−	0.148409i
$73$	−5.82024	−	8.01087i	−0.681207	−	0.937602i	0.318740	−	0.947842i	$-0.396740\pi$
$73$	−5.82024	−	8.01087i	−0.681207	−	0.937602i	−0.999948	+	0.0102406i	$0.996740\pi$
$74$	10.6424			1.23715
$75$	2.51369	+	13.0599i	0.290256	+	1.50803i
$76$	1.00000			0.114708
$77$	0.860459	+	1.18432i	0.0980585	+	0.134966i
$78$	4.24407	+	1.37898i	0.480547	+	0.156139i
$79$	2.12127	−	6.52859i	0.238661	−	0.734524i	−0.757953	−	0.652309i	$-0.773800\pi$
$79$	2.12127	−	6.52859i	0.238661	−	0.734524i	0.996615	−	0.0822153i	$-0.0261995\pi$
$80$	−2.05143	+	0.889746i	−0.229357	+	0.0994766i
$81$	−1.42720	−	4.39248i	−0.158578	−	0.488054i
$82$		−	1.90760i		−	0.210659i
$83$	−10.0823	+	3.27595i	−1.10668	+	0.359582i	−0.804670	−	0.593722i	$-0.797658\pi$
$83$	−10.0823	+	3.27595i	−1.10668	+	0.359582i	−0.302010	+	0.953305i	$0.597658\pi$
$84$	2.77626	+	2.01707i	0.302915	+	0.220080i
$85$	0.459522	−	2.06380i	0.0498421	−	0.223850i
$86$	−5.70223	+	4.14291i	−0.614887	+	0.446742i
$87$	−13.2471	+	18.2331i	−1.42024	+	1.95479i
$88$	−0.666955	+	0.917984i	−0.0710976	+	0.0978574i
$89$	0.905582	−	0.657944i	0.0959915	−	0.0697419i	−0.538754	−	0.842463i	$-0.681105\pi$
$89$	0.905582	−	0.657944i	0.0959915	−	0.0697419i	0.634746	+	0.772721i	$0.281105\pi$
$90$	7.84721	+	4.63207i	0.827168	+	0.488264i
$91$	−1.75106	−	1.27222i	−0.183561	−	0.133365i
$92$	−4.36155	+	1.41715i	−0.454723	+	0.147749i
$93$			26.0661i			2.70293i
$94$	0.776501	+	2.38982i	0.0800899	+	0.246491i
$95$	−2.18262	−	0.485979i	−0.223932	−	0.0498604i
$96$	−0.821960	+	2.52973i	−0.0838909	+	0.258190i
$97$	−4.29010	−	1.39394i	−0.435593	−	0.141533i	0.0830083	−	0.996549i	$-0.473547\pi$
$97$	−4.29010	−	1.39394i	−0.435593	−	0.141533i	−0.518602	+	0.855016i	$0.673547\pi$
$98$	3.13616	+	4.31656i	0.316800	+	0.436038i
$99$	4.62405			0.464735
$100$	4.90988	−	0.945026i	0.490988	−	0.0945026i
$101$	6.19579			0.616504			0.308252	−	0.951305i	$-0.400256\pi$
$101$	6.19579			0.616504			0.308252	+	0.951305i	$0.400256\pi$
$102$	−1.47834	−	2.03477i	−0.146378	−	0.201472i
$103$	−8.24967	−	2.68048i	−0.812864	−	0.264116i	−0.127054	−	0.991896i	$-0.540552\pi$
$103$	−8.24967	−	2.68048i	−0.812864	−	0.264116i	−0.685811	+	0.727780i	$0.740552\pi$
$104$	0.518430	−	1.59557i	0.0508363	−	0.156458i
$105$	−5.07926	−	5.75170i	−0.495685	−	0.561308i
$106$	0.213545	+	0.657225i	0.0207414	+	0.0638354i
$107$			0.900035i			0.0870096i	0.999053	+	0.0435048i	$0.0138524\pi$
$107$			0.900035i			0.0870096i	−0.999053	+	0.0435048i	$0.986148\pi$
$108$	2.71988	−	0.883742i	0.261720	−	0.0850381i
$109$	3.69223	+	2.68256i	0.353652	+	0.256943i	0.750399	−	0.660985i	$-0.229861\pi$
$109$	3.69223	+	2.68256i	0.353652	+	0.256943i	−0.396748	+	0.917928i	$0.629861\pi$
$110$	1.90183	−	1.67948i	0.181332	−	0.160132i
$111$	−22.9016	+	16.6390i	−2.17372	+	1.57930i
$112$	0.758321	−	1.04374i	0.0716546	−	0.0986240i
$113$	5.99932	−	8.25736i	0.564369	−	0.776787i	−0.427505	−	0.904013i	$-0.640607\pi$
$113$	5.99932	−	8.25736i	0.564369	−	0.776787i	0.991874	+	0.127226i	$0.0406074\pi$
$114$	−2.15192	+	1.56346i	−0.201546	+	0.146432i
$115$	10.2083	−	0.973485i	0.951930	−	0.0907779i
$116$	6.85475	+	4.98026i	0.636447	+	0.462406i
$117$	−6.50219	+	2.11269i	−0.601128	+	0.195318i
$118$		−	3.01848i		−	0.277874i
$119$	0.376969	+	1.16019i	0.0345567	+	0.106354i
$120$	3.02342	−	5.12199i	0.275999	−	0.467571i
$121$	−3.00132	+	9.23711i	−0.272847	+	0.839738i
$122$	13.0257	+	4.23231i	1.17929	+	0.383175i
$123$	2.98245	+	4.10499i	0.268919	+	0.370135i
$124$	9.79960			0.880030
$125$	−11.1757	−	0.323468i	−0.999581	−	0.0289319i
$126$	−5.25750			−0.468375
$127$	1.56684	+	2.15657i	0.139035	+	0.191365i	0.872856	−	0.487977i	$-0.162265\pi$
$127$	1.56684	+	2.15657i	0.139035	+	0.191365i	−0.733821	+	0.679342i	$0.762265\pi$
$128$	0.951057	+	0.309017i	0.0840623	+	0.0273135i
$129$	5.79346	−	17.8304i	0.510085	−	1.56988i
$130$	−1.90695	+	3.23056i	−0.167250	+	0.283339i
$131$	−1.15726	−	3.56167i	−0.101110	−	0.311185i	0.887688	−	0.460446i	$-0.152310\pi$
$131$	−1.15726	−	3.56167i	−0.101110	−	0.311185i	−0.988798	+	0.149261i	$0.952310\pi$
$132$		−	3.01818i		−	0.262699i
$133$	1.22699	−	0.398673i	0.106393	−	0.0345693i
$134$	12.5443	+	9.11398i	1.08366	+	0.787328i
$135$	−6.36593	+	0.607068i	−0.547892	+	0.0522481i
$136$	−0.764973	+	0.555786i	−0.0655959	+	0.0476582i
$137$	−3.77949	+	5.20202i	−0.322903	+	0.444438i	−0.939351	−	0.342958i	$-0.888571\pi$
$137$	−3.77949	+	5.20202i	−0.322903	+	0.444438i	0.616448	+	0.787396i	$0.288571\pi$
$138$	7.17004	−	9.86872i	0.610355	−	0.840081i
$139$	−2.28753	+	1.66199i	−0.194026	+	0.140968i	−0.680557	−	0.732695i	$-0.738262\pi$
$139$	−2.28753	+	1.66199i	−0.194026	+	0.140968i	0.486531	+	0.873663i	$0.338262\pi$
$140$	−2.16236	+	1.90956i	−0.182753	+	0.161387i
$141$	−5.40736	−	3.92868i	−0.455382	−	0.330854i
$142$	−5.05912	+	1.64381i	−0.424552	+	0.137945i
$143$			1.90364i			0.159191i
$144$	−1.25929	−	3.87571i	−0.104941	−	0.322976i
$145$	−12.5410	−	14.2013i	−1.04147	−	1.17935i
$146$	3.05988	−	9.41734i	0.253238	−	0.779385i
$147$	−13.4975	−	4.38562i	−1.11326	−	0.361719i
$148$	6.25544	+	8.60987i	0.514194	+	0.707727i
$149$	5.09553			0.417442			0.208721	−	0.977975i	$-0.433070\pi$
$149$	5.09553			0.417442			0.208721	+	0.977975i	$0.433070\pi$
$150$	−9.08815	+	9.71002i	−0.742045	+	0.792820i
$151$	−2.35094			−0.191317			−0.0956583	−	0.995414i	$-0.530496\pi$
$151$	−2.35094			−0.191317			−0.0956583	+	0.995414i	$0.530496\pi$
$152$	0.587785	+	0.809017i	0.0476757	+	0.0656199i
$153$	3.66471	+	1.19074i	0.296275	+	0.0962655i
$154$	−0.452370	+	1.39225i	−0.0364530	+	0.112191i
$155$	−21.3888	−	4.76240i	−1.71799	−	0.382525i
$156$	1.37898	+	4.24407i	0.110407	+	0.339798i
$157$			23.9686i			1.91290i	0.291897	+	0.956450i	$0.405713\pi$
$157$			23.9686i			1.91290i	−0.291897	+	0.956450i	$0.594287\pi$
$158$	6.52859	−	2.12127i	0.519387	−	0.168759i
$159$	−1.48708	−	1.08043i	−0.117933	−	0.0856833i
$160$	−1.92562	−	1.13666i	−0.152233	−	0.0898608i
$161$	−4.78660	+	3.47766i	−0.377237	+	0.274078i
$162$	2.71470	−	3.73647i	0.213287	−	0.293565i
$163$	−2.23012	+	3.06950i	−0.174677	+	0.240422i	−0.887374	−	0.461049i	$-0.847473\pi$
$163$	−2.23012	+	3.06950i	−0.174677	+	0.240422i	0.712698	+	0.701471i	$0.247473\pi$
$164$	1.54328	−	1.12126i	0.120510	−	0.0875555i
$165$	−1.46677	+	6.58755i	−0.114188	+	0.512840i
$166$	−8.57655	−	6.23123i	−0.665669	−	0.483637i
$167$	−3.47157	+	1.12798i	−0.268638	+	0.0872859i	−0.440239	−	0.897881i	$-0.645106\pi$
$167$	−3.47157	+	1.12798i	−0.268638	+	0.0872859i	0.171600	+	0.985167i	$0.445106\pi$
$168$			3.43165i			0.264757i
$169$	3.14746	+	9.68689i	0.242112	+	0.745146i
$170$	1.93975	−	0.841307i	0.148772	−	0.0645253i
$171$	1.25929	−	3.87571i	0.0963007	−	0.296383i
$172$	−6.70337	−	2.17806i	−0.511127	−	0.166075i
$173$	−13.4914	−	18.5693i	−1.02573	−	1.41180i	−0.908106	−	0.418741i	$-0.862472\pi$
$173$	−13.4914	−	18.5693i	−1.02573	−	1.41180i	−0.117626	−	0.993058i	$-0.537528\pi$
$174$	−22.5373			−1.70855
$175$	5.64761	−	3.11697i	0.426919	−	0.235621i
$176$	−1.13469			−0.0855305
$177$	4.71928	+	6.49553i	0.354723	+	0.488234i
$178$	1.06458	+	0.345901i	0.0797933	+	0.0259264i
$179$	1.72029	−	5.29452i	0.128581	−	0.395731i	−0.865956	−	0.500121i	$-0.833289\pi$
$179$	1.72029	−	5.29452i	0.128581	−	0.395731i	0.994536	+	0.104390i	$0.0332889\pi$
$180$	0.865046	+	9.07119i	0.0644768	+	0.676127i
$181$	6.56345	+	20.2002i	0.487857	+	1.50147i	0.827800	+	0.561024i	$0.189592\pi$
$181$	6.56345	+	20.2002i	0.487857	+	1.50147i	−0.339942	+	0.940446i	$0.610408\pi$
$182$		−	2.16442i		−	0.160438i
$183$	−34.6473	+	11.2576i	−2.56120	+	0.832185i
$184$	−3.71016	−	2.69559i	−0.273517	−	0.198721i
$185$	−9.46902	−	21.8321i	−0.696176	−	1.60513i
$186$	−21.0879	+	15.3213i	−1.54624	+	1.12341i
$187$	0.630645	−	0.868008i	0.0461173	−	0.0634751i
$188$	−1.47699	+	2.03291i	−0.107721	+	0.148265i
$189$	2.98493	−	2.16868i	0.217122	−	0.157748i
$190$	−0.889746	−	2.05143i	−0.0645489	−	0.148826i
$191$	−4.62725	−	3.36189i	−0.334816	−	0.243258i	0.407656	−	0.913136i	$-0.366346\pi$
$191$	−4.62725	−	3.36189i	−0.334816	−	0.243258i	−0.742471	+	0.669878i	$0.766346\pi$
$192$	−2.52973	+	0.821960i	−0.182568	+	0.0593198i
$193$		−	4.03837i		−	0.290688i	−0.989381	−	0.145344i	$-0.953571\pi$
$193$		−	4.03837i		−	0.290688i	0.989381	−	0.145344i	$-0.0464289\pi$
$194$	−1.39394	−	4.29010i	−0.100079	−	0.308011i
$195$	−0.947263	−	9.93335i	−0.0678349	−	0.711342i
$196$	−1.64878	+	5.07442i	−0.117770	+	0.362458i
$197$	16.5593	+	5.38044i	1.17980	+	0.383340i	0.832293	−	0.554337i	$-0.187028\pi$
$197$	16.5593	+	5.38044i	1.17980	+	0.383340i	0.347508	+	0.937677i	$0.387028\pi$
$198$	2.71795	+	3.74094i	0.193156	+	0.265857i
$199$	−9.14532			−0.648295			−0.324147	−	0.946007i	$-0.605077\pi$
$199$	−9.14532			−0.648295			−0.324147	+	0.946007i	$0.605077\pi$
$200$	3.65050	+	3.41670i	0.258129	+	0.241598i
$201$	−41.2437			−2.90911
$202$	3.64179	+	5.01250i	0.256236	+	0.352678i
$203$	10.3962	+	3.37793i	0.729670	+	0.237084i
$204$	0.777212	−	2.39201i	0.0544157	−	0.167474i
$205$	−3.91330	+	1.69728i	−0.273316	+	0.118543i
$206$	−2.68048	−	8.24967i	−0.186758	−	0.574782i
$207$			18.6887i			1.29896i
$208$	1.59557	−	0.518430i	0.110633	−	0.0359467i
$209$	−0.917984	−	0.666955i	−0.0634983	−	0.0461342i
$210$	1.66771	−	7.48997i	0.115083	−	0.516857i
$211$	−4.53335	+	3.29367i	−0.312089	+	0.226746i	−0.732792	−	0.680452i	$-0.761783\pi$
$211$	−4.53335	+	3.29367i	−0.312089	+	0.226746i	0.420704	+	0.907198i	$0.361783\pi$
$212$	−0.406188	+	0.559069i	−0.0278971	+	0.0383970i
$213$	8.31679	−	11.4471i	0.569857	−	0.784341i
$214$	−0.728143	+	0.529027i	−0.0497749	+	0.0361636i
$215$	13.5724	+	8.01157i	0.925631	+	0.546385i
$216$	2.31367	+	1.68098i	0.157425	+	0.114376i
$217$	12.0240	−	3.90683i	0.816242	−	0.265213i
$218$			4.56385i			0.309103i
$219$	8.13903	+	25.0494i	0.549985	+	1.69268i
$220$	2.47660	+	0.551436i	0.166972	+	0.0371778i
$221$	−0.490207	+	1.50870i	−0.0329749	+	0.101486i
$222$	−26.9224	−	8.74762i	−1.80691	−	0.587102i
$223$	5.69872	+	7.84362i	0.381615	+	0.525247i	0.956011	−	0.293330i	$-0.0947633\pi$
$223$	5.69872	+	7.84362i	0.381615	+	0.525247i	−0.574397	+	0.818577i	$0.694763\pi$
$224$	1.29013			0.0862006
$225$	2.52034	−	20.2193i	0.168023	−	1.34796i
$226$	10.2067			0.678937
$227$	−2.77707	−	3.82231i	−0.184321	−	0.253696i	0.706850	−	0.707363i	$-0.250115\pi$
$227$	−2.77707	−	3.82231i	−0.184321	−	0.253696i	−0.891171	+	0.453667i	$0.850115\pi$
$228$	−2.52973	−	0.821960i	−0.167536	−	0.0544356i
$229$	4.74983	−	14.6185i	0.313877	−	0.966015i	−0.662337	−	0.749206i	$-0.730435\pi$
$229$	4.74983	−	14.6185i	0.313877	−	0.966015i	0.976214	−	0.216809i	$-0.0695649\pi$
$230$	6.78786	+	7.68650i	0.447578	+	0.506833i
$231$	−1.20327	−	3.70328i	−0.0791692	−	0.243658i
$232$			8.47293i			0.556275i
$233$	−2.52346	+	0.819922i	−0.165317	+	0.0537149i	−0.390506	−	0.920600i	$-0.627700\pi$
$233$	−2.52346	+	0.819922i	−0.165317	+	0.0537149i	0.225189	+	0.974315i	$0.427700\pi$
$234$	−5.53109	−	4.01857i	−0.361579	−	0.262702i
$235$	4.21166	−	3.71927i	0.274738	−	0.242618i
$236$	2.44201	−	1.77422i	0.158961	−	0.115492i
$237$	−10.7325	+	14.7720i	−0.697150	+	0.959544i
$238$	−0.717037	+	0.986917i	−0.0464786	+	0.0639723i
$239$	−19.9269	+	14.4777i	−1.28896	+	0.936487i	−0.999784	−	0.0207875i	$-0.993383\pi$
$239$	−19.9269	+	14.4777i	−1.28896	+	0.936487i	−0.289180	+	0.957275i	$0.593383\pi$
$240$	5.92090	−	0.564628i	0.382192	−	0.0364466i
$241$	7.57973	+	5.50700i	0.488253	+	0.354737i	0.804512	−	0.593936i	$-0.202427\pi$
$241$	7.57973	+	5.50700i	0.488253	+	0.354737i	−0.316259	+	0.948673i	$0.602427\pi$
$242$	−9.23711	+	3.00132i	−0.593784	+	0.192932i
$243$			20.8645i			1.33846i
$244$	4.23231	+	13.0257i	0.270946	+	0.833885i
$245$	6.06472	−	10.2742i	0.387460	−	0.656398i
$246$	−1.56797	+	4.82571i	−0.0999700	+	0.307676i
$247$	1.59557	+	0.518430i	0.101523	+	0.0329869i
$248$	5.76006	+	7.92804i	0.365764	+	0.503431i
$249$	28.1983			1.78700
$250$	−6.30720	−	9.23143i	−0.398902	−	0.583847i
$251$	17.0303			1.07494			0.537471	−	0.843282i	$-0.319380\pi$
$251$	17.0303			1.07494			0.537471	+	0.843282i	$0.319380\pi$
$252$	−3.09028	−	4.25341i	−0.194669	−	0.267939i
$253$	4.94902	+	1.60803i	0.311142	+	0.101096i
$254$	−0.823738	+	2.53520i	−0.0516859	+	0.159073i
$255$	−2.85882	+	4.84314i	−0.179027	+	0.303289i
$256$	0.309017	+	0.951057i	0.0193136	+	0.0594410i
$257$			25.0163i			1.56047i	0.625486	+	0.780236i	$0.284901\pi$
$257$			25.0163i			1.56047i	−0.625486	+	0.780236i	$0.715099\pi$
$258$	17.8304	−	5.79346i	1.11007	−	0.360685i
$259$	11.1079	+	8.07034i	0.690210	+	0.501467i
$260$	−3.73446	+	0.356125i	−0.231601	+	0.0220859i
$261$	27.9342	−	20.2954i	1.72908	−	1.25625i
$262$	2.20123	−	3.02974i	0.135993	−	0.187178i
$263$	5.16845	−	7.11376i	0.318700	−	0.438653i	−0.619370	−	0.785099i	$-0.712612\pi$
$263$	5.16845	−	7.11376i	0.318700	−	0.438653i	0.938070	+	0.346446i	$0.112612\pi$
$264$	2.44176	−	1.77404i	0.150280	−	0.109185i
$265$	1.15825	−	1.02284i	0.0711506	−	0.0628323i
$266$	1.04374	+	0.758321i	0.0639957	+	0.0464956i
$267$	−2.83168	+	0.920070i	−0.173296	+	0.0563073i
$268$			15.5056i			0.947157i
$269$	−6.21142	−	19.1168i	−0.378717	−	1.16557i	−0.940936	−	0.338583i	$-0.890052\pi$
$269$	−6.21142	−	19.1168i	−0.378717	−	1.16557i	0.562219	−	0.826988i	$-0.309948\pi$
$270$	−4.23293	−	4.79332i	−0.257608	−	0.291712i
$271$	6.86506	−	21.1285i	0.417023	−	1.28346i	−0.493406	−	0.869799i	$-0.664248\pi$
$271$	6.86506	−	21.1285i	0.417023	−	1.28346i	0.910429	−	0.413665i	$-0.135752\pi$
$272$	−0.899280	−	0.292194i	−0.0545269	−	0.0177169i
$273$	3.38399	+	4.65766i	0.204808	+	0.281895i
$274$	−6.43005			−0.388453
$275$	−5.13748	−	2.40715i	−0.309802	−	0.145157i
$276$	12.1984			0.734258
$277$	−5.21104	−	7.17239i	−0.313101	−	0.430947i	0.623244	−	0.782027i	$-0.285814\pi$
$277$	−5.21104	−	7.17239i	−0.313101	−	0.430947i	−0.936345	+	0.351080i	$0.885814\pi$
$278$	−2.68916	−	0.873760i	−0.161285	−	0.0524047i
$279$	12.3406	−	37.9804i	0.738812	−	2.27383i
$280$	−2.81587	−	0.626977i	−0.168280	−	0.0374690i
$281$	−1.81406	−	5.58310i	−0.108218	−	0.333060i	0.882255	−	0.470773i	$-0.156025\pi$
$281$	−1.81406	−	5.58310i	−0.108218	−	0.333060i	−0.990472	+	0.137713i	$0.956025\pi$
$282$		−	6.68387i		−	0.398018i
$283$	18.5225	−	6.01831i	1.10105	−	0.357752i	0.298541	−	0.954397i	$-0.403500\pi$
$283$	18.5225	−	6.01831i	1.10105	−	0.357752i	0.802505	+	0.596645i	$0.203500\pi$
$284$	−4.30355	−	3.12671i	−0.255368	−	0.185536i
$285$	5.12199	+	3.02342i	0.303400	+	0.179092i
$286$	−1.54008	+	1.11893i	−0.0910669	+	0.0661639i
$287$	1.44657	−	1.99103i	0.0853883	−	0.117527i
$288$	2.39532	−	3.29688i	0.141146	−	0.194270i
$289$	−13.0300	+	9.46682i	−0.766468	+	0.556872i
$290$	4.11767	−	18.4932i	0.241798	−	1.08596i
$291$	9.70704	+	7.05257i	0.569037	+	0.413429i
$292$	9.41734	−	3.05988i	0.551108	−	0.179066i
$293$			5.18916i			0.303154i	0.988445	+	0.151577i	$0.0484351\pi$
$293$			5.18916i			0.303154i	−0.988445	+	0.151577i	$0.951565\pi$
$294$	−4.38562	−	13.4975i	−0.255774	−	0.787192i
$295$	−6.19220	+	2.68568i	−0.360524	+	0.156367i
$296$	−3.28868	+	10.1215i	−0.191151	+	0.588301i
$297$	−3.08622	−	1.00277i	−0.179081	−	0.0581868i
$298$	2.99508	+	4.12237i	0.173500	+	0.238803i
$299$	−7.69384			−0.444946
$300$	−13.1975	−	1.64506i	−0.761956	−	0.0949778i
$301$	−9.09330			−0.524129
$302$	−1.38185	−	1.90195i	−0.0795163	−	0.109445i
$303$	−15.6737	−	5.09269i	−0.900430	−	0.292567i
$304$	−0.309017	+	0.951057i	−0.0177233	+	0.0545468i
$305$	−2.90730	−	30.4870i	−0.166471	−	1.74568i
$306$	1.19074	+	3.66471i	0.0680700	+	0.209498i
$307$		−	2.23178i		−	0.127374i	−0.997970	−	0.0636871i	$-0.979714\pi$
$307$		−	2.23178i		−	0.127374i	0.997970	−	0.0636871i	$-0.0202860\pi$
$308$	−1.39225	+	0.452370i	−0.0793310	+	0.0257762i
$309$	18.6662	+	13.5618i	1.06188	+	0.771504i
$310$	−8.71915	−	20.1032i	−0.495215	−	1.14178i
$311$	20.2336	−	14.7005i	1.14734	−	0.833591i	0.159215	−	0.987244i	$-0.449104\pi$
$311$	20.2336	−	14.7005i	1.14734	−	0.833591i	0.988125	+	0.153652i	$0.0491036\pi$
$312$	−2.62298	+	3.61022i	−0.148497	+	0.204389i
$313$	7.94753	−	10.9388i	0.449221	−	0.618300i	−0.523009	−	0.852327i	$-0.675191\pi$
$313$	7.94753	−	10.9388i	0.449221	−	0.618300i	0.972230	+	0.234028i	$0.0751906\pi$
$314$	−19.3910	+	14.0884i	−1.09430	+	0.795053i
$315$	4.67784	+	10.7854i	0.263566	+	0.607687i
$316$	5.55355	+	4.03489i	0.312412	+	0.226980i
$317$	−7.08546	+	2.30220i	−0.397959	+	0.129305i	−0.501157	−	0.865356i	$-0.667092\pi$
$317$	−7.08546	+	2.30220i	−0.397959	+	0.129305i	0.103199	+	0.994661i	$0.467092\pi$
$318$		−	1.83813i		−	0.103077i
$319$	−2.97094	−	9.14361i	−0.166341	−	0.511944i
$320$	−0.212273	−	2.22597i	−0.0118664	−	0.124435i
$321$	0.739792	−	2.27685i	0.0412912	−	0.127081i
$322$	−5.62698	−	1.82832i	−0.313579	−	0.101888i
$323$	−0.555786	−	0.764973i	−0.0309247	−	0.0425643i
$324$	4.61853			0.256585
$325$	8.32396	+	1.03758i	0.461730	+	0.0575547i
$326$	−3.79411			−0.210136
$327$	−7.13540	−	9.82103i	−0.394588	−	0.543104i
$328$	1.81423	+	0.589480i	0.100174	+	0.0325486i
$329$	−1.00179	+	3.08319i	−0.0552304	+	0.169982i
$330$	−6.19159	+	2.68542i	−0.340836	+	0.147827i
$331$	7.60198	+	23.3965i	0.417842	+	1.28599i	0.909684	+	0.415302i	$0.136324\pi$
$331$	7.60198	+	23.3965i	0.417842	+	1.28599i	−0.491841	+	0.870685i	$0.663676\pi$
$332$		−	10.6012i		−	0.581816i
$333$	41.2468	−	13.4019i	2.26031	−	0.734420i
$334$	−2.95310	−	2.14555i	−0.161586	−	0.117399i
$335$	7.53541	−	33.8429i	0.411703	−	1.84903i
$336$	−2.77626	+	2.01707i	−0.151457	+	0.110040i
$337$	−13.0162	+	17.9152i	−0.709036	+	0.975904i	0.290782	+	0.956789i	$0.406085\pi$
$337$	−13.0162	+	17.9152i	−0.709036	+	0.975904i	−0.999817	+	0.0191144i	$0.993915\pi$
$338$	−5.98683	+	8.24016i	−0.325641	+	0.448206i
$339$	−21.9639	+	15.9577i	−1.19291	+	0.866703i
$340$	1.82079	+	1.07478i	0.0987460	+	0.0582881i
$341$	−8.99588	−	6.53589i	−0.487154	−	0.353938i
$342$	3.87571	−	1.25929i	0.209574	−	0.0680949i
$343$			15.9145i			0.859302i
$344$	−2.17806	−	6.70337i	−0.117433	−	0.361422i
$345$	−26.6245	−	5.92817i	−1.43341	−	0.319162i
$346$	7.09285	−	21.8295i	0.381314	−	1.17356i
$347$	25.4442	+	8.26732i	1.36592	+	0.443813i	0.898014	−	0.439967i	$-0.145010\pi$
$347$	25.4442	+	8.26732i	1.36592	+	0.443813i	0.467903	+	0.883780i	$0.345010\pi$
$348$	−13.2471	−	18.2331i	−0.710119	−	0.977395i
$349$	35.4185			1.89591			0.947954	−	0.318408i	$-0.103148\pi$
$349$	35.4185			1.89591			0.947954	+	0.318408i	$0.103148\pi$
$350$	5.84126	+	2.73690i	0.312229	+	0.146294i
$351$	4.79790			0.256093
$352$	−0.666955	−	0.917984i	−0.0355488	−	0.0489287i
$353$	−35.0573	−	11.3908i	−1.86591	−	0.606271i	−0.992958	−	0.118467i	$-0.962202\pi$
$353$	−35.0573	−	11.3908i	−1.86591	−	0.606271i	−0.872953	−	0.487804i	$-0.837798\pi$
$354$	−2.48107	+	7.63596i	−0.131868	+	0.405847i
$355$	7.87349	+	8.91585i	0.417881	+	0.473204i
$356$	0.345901	+	1.06458i	0.0183327	+	0.0564224i
$357$		−	3.24482i		−	0.171734i
$358$	5.29452	−	1.72029i	0.279824	−	0.0909204i
$359$	24.8785	+	18.0753i	1.31304	+	0.953979i	0.999991	+	0.00424201i	$0.00135028\pi$
$359$	24.8785	+	18.0753i	1.31304	+	0.953979i	0.313049	+	0.949737i	$0.398650\pi$
$360$	−6.83029	+	6.03175i	−0.359988	+	0.317901i
$361$	−0.809017	+	0.587785i	−0.0425798	+	0.0309361i
$362$	−12.4844	+	17.1833i	−0.656166	+	0.903136i
$363$	15.1851	−	20.9005i	0.797010	−	1.09699i
$364$	1.75106	−	1.27222i	0.0917803	−	0.0666823i
$365$	−22.0415	+	2.10192i	−1.15371	+	0.110020i
$366$	−29.4728	−	21.4132i	−1.54057	−	1.11929i
$367$	−1.23301	+	0.400628i	−0.0643624	+	0.0209126i	−0.341021	−	0.940056i	$-0.610773\pi$
$367$	−1.23301	+	0.400628i	−0.0643624	+	0.0209126i	0.276659	+	0.960968i	$0.410773\pi$
$368$		−	4.58601i		−	0.239062i
$369$	−2.40223	−	7.39330i	−0.125055	−	0.384880i
$370$	12.0968	−	20.4932i	0.628881	−	1.06539i
$371$	−0.275502	+	0.847907i	−0.0143033	+	0.0440212i
$372$	−24.7904	−	8.05488i	−1.28532	−	0.417626i
$373$	4.60011	+	6.33151i	0.238185	+	0.327833i	0.911330	−	0.411677i	$-0.135057\pi$
$373$	4.60011	+	6.33151i	0.238185	+	0.327833i	−0.673145	+	0.739511i	$0.735057\pi$
$374$	1.07292			0.0554792
$375$	28.0056	+	10.0042i	1.44620	+	0.516616i
$376$	−2.51281			−0.129588
$377$	8.35527	+	11.5000i	0.430318	+	0.592283i
$378$	3.50900	+	1.14014i	0.180484	+	0.0586426i
$379$	−3.76109	+	11.5754i	−0.193194	+	0.594591i	0.806799	+	0.590826i	$0.201198\pi$
$379$	−3.76109	+	11.5754i	−0.193194	+	0.594591i	−0.999993	+	0.00376422i	$0.998802\pi$
$380$	1.13666	−	1.92562i	0.0583094	−	0.0987821i
$381$	−2.19108	−	6.74344i	−0.112252	−	0.345477i
$382$		−	5.71959i		−	0.292640i
$383$	−18.7127	+	6.08012i	−0.956173	+	0.310680i	−0.745222	−	0.666817i	$-0.767656\pi$
$383$	−18.7127	+	6.08012i	−0.956173	+	0.310680i	−0.210952	+	0.977496i	$0.567656\pi$
$384$	−2.15192	−	1.56346i	−0.109815	−	0.0797850i
$385$	3.25860	−	0.310746i	0.166074	−	0.0158371i
$386$	3.26711	−	2.37369i	0.166291	−	0.120818i
$387$	−16.8831	+	23.2375i	−0.858214	+	1.18123i
$388$	2.65143	−	3.64937i	0.134606	−	0.185269i
$389$	1.04276	−	0.757612i	0.0528702	−	0.0384125i	−0.561036	−	0.827791i	$-0.689597\pi$
$389$	1.04276	−	0.757612i	0.0528702	−	0.0384125i	0.613906	+	0.789379i	$0.289597\pi$
$390$	7.47946	−	6.60503i	0.378737	−	0.334459i
$391$	3.50818	+	2.54884i	0.177416	+	0.128900i
$392$	−5.07442	+	1.64878i	−0.256297	+	0.0832759i
$393$			9.96129i			0.502481i
$394$	5.38044	+	16.5593i	0.271063	+	0.834245i
$395$	−10.1604	−	11.5055i	−0.511226	−	0.578907i
$396$	−1.42891	+	4.39773i	−0.0718055	+	0.220994i
$397$	−25.2681	−	8.21011i	−1.26817	−	0.412053i	−0.403771	−	0.914860i	$-0.632301\pi$
$397$	−25.2681	−	8.21011i	−1.26817	−	0.412053i	−0.864399	+	0.502807i	$0.832301\pi$
$398$	−5.37549	−	7.39872i	−0.269449	−	0.370864i
$399$	−3.43165			−0.171797
$400$	−0.618464	+	4.96160i	−0.0309232	+	0.248080i
$401$	6.93920			0.346527			0.173263	−	0.984876i	$-0.444569\pi$
$401$	6.93920			0.346527			0.173263	+	0.984876i	$0.444569\pi$
$402$	−24.2424	−	33.3669i	−1.20910	−	1.66419i
$403$	15.6359	+	5.08041i	0.778880	+	0.253073i
$404$	−1.91460	+	5.89254i	−0.0952551	+	0.293165i
$405$	−10.0805	−	2.24451i	−0.500904	−	0.111531i
$406$	3.37793	+	10.3962i	0.167644	+	0.515954i
$407$		−	12.0758i		−	0.598576i
$408$	2.39201	−	0.777212i	0.118422	−	0.0384777i
$409$	16.5621	+	12.0330i	0.818941	+	0.594996i	0.916409	−	0.400243i	$-0.131074\pi$
$409$	16.5621	+	12.0330i	0.818941	+	0.594996i	−0.0974676	+	0.995239i	$0.531074\pi$
$410$	−3.67330	−	2.16829i	−0.181412	−	0.107084i
$411$	13.8369	−	10.0531i	0.682526	−	0.495884i
$412$	5.09858	−	7.01759i	0.251189	−	0.345732i
$413$	2.28898	−	3.15051i	0.112633	−	0.155026i
$414$	−15.1195	+	10.9850i	−0.743083	+	0.539882i
$415$	−5.15196	+	23.1384i	−0.252900	+	1.13582i
$416$	1.35727	+	0.986113i	0.0665456	+	0.0483482i
$417$	7.15294	−	2.32413i	0.350281	−	0.113813i
$418$		−	1.13469i		−	0.0554995i
$419$	1.09214	+	3.36126i	0.0533545	+	0.164208i	0.974183	−	0.225759i	$-0.0724862\pi$
$419$	1.09214	+	3.36126i	0.0533545	+	0.164208i	−0.920829	+	0.389967i	$0.872486\pi$
$420$	7.03977	−	3.05329i	0.343506	−	0.148985i
$421$	0.715249	−	2.20131i	0.0348591	−	0.107285i	−0.932113	−	0.362168i	$-0.882037\pi$
$421$	0.715249	−	2.20131i	0.0348591	−	0.107285i	0.966972	+	0.254882i	$0.0820368\pi$
$422$	−5.32927	−	1.73159i	−0.259425	−	0.0842923i
$423$	6.01898	+	8.28442i	0.292653	+	0.402802i
$424$	−0.691048			−0.0335602
$425$	−3.45176	−	3.23070i	−0.167435	−	0.156712i
$426$	14.1494			0.685539
$427$	10.3860	+	14.2951i	0.502613	+	0.691788i
$428$	−0.855984	−	0.278126i	−0.0413755	−	0.0134437i
$429$	1.56472	−	4.81571i	0.0755453	−	0.232505i
$430$	1.49617	+	15.6894i	0.0721518	+	0.756610i
$431$	5.90132	+	18.1624i	0.284257	+	0.874852i	0.986620	+	0.163034i	$0.0521280\pi$
$431$	5.90132	+	18.1624i	0.284257	+	0.874852i	−0.702364	+	0.711818i	$0.747872\pi$
$432$			2.85985i			0.137595i
$433$	5.73615	−	1.86379i	0.275662	−	0.0895680i	−0.167924	−	0.985800i	$-0.553706\pi$
$433$	5.73615	−	1.86379i	0.275662	−	0.0895680i	0.443586	+	0.896232i	$0.353706\pi$
$434$	10.2282	+	7.43124i	0.490970	+	0.356711i
$435$	20.0525	+	46.2336i	0.961443	+	2.21673i
$436$	−3.69223	+	2.68256i	−0.176826	+	0.128471i
$437$	2.69559	−	3.71016i	0.128947	−	0.177481i
$438$	−15.4814	+	21.3083i	−0.739728	+	1.01815i
$439$	−7.93642	+	5.76615i	−0.378785	+	0.275203i	−0.760844	−	0.648934i	$-0.775215\pi$
$439$	−7.93642	+	5.76615i	−0.378785	+	0.275203i	0.382060	+	0.924138i	$0.375215\pi$
$440$	1.00959	+	2.32774i	0.0481301	+	0.110970i
$441$	17.5907	+	12.7804i	0.837652	+	0.608589i
$442$	−1.50870	+	0.490207i	−0.0717616	+	0.0233168i
$443$			4.41087i			0.209567i	0.994495	+	0.104783i	$0.0334149\pi$
$443$			4.41087i			0.209567i	−0.994495	+	0.104783i	$0.966585\pi$
$444$	−8.74762	−	26.9224i	−0.415144	−	1.27768i
$445$	−0.237610	−	2.49166i	−0.0112638	−	0.118116i
$446$	−2.99599	+	9.22072i	−0.141864	+	0.436614i
$447$	−12.8903	−	4.18832i	−0.609692	−	0.198101i
$448$	0.758321	+	1.04374i	0.0358273	+	0.0493120i
$449$	−10.5195			−0.496447			−0.248223	−	0.968703i	$-0.579847\pi$
$449$	−10.5195			−0.496447			−0.248223	+	0.968703i	$0.579847\pi$
$450$	17.8392	−	9.84563i	0.840949	−	0.464128i
$451$	−2.16453			−0.101924
$452$	5.99932	+	8.25736i	0.282184	+	0.388393i
$453$	5.94724	+	1.93238i	0.279426	+	0.0907909i
$454$	1.45999	−	4.49340i	0.0685209	−	0.210886i
$455$	−4.44016	+	1.92579i	−0.208158	+	0.0902823i
$456$	−0.821960	−	2.52973i	−0.0384918	−	0.118466i
$457$		−	1.28404i		−	0.0600650i	−0.999549	−	0.0300325i	$-0.990439\pi$
$457$		−	1.28404i		−	0.0600650i	0.999549	−	0.0300325i	$-0.00956109\pi$
$458$	14.6185	−	4.74983i	0.683076	−	0.221945i
$459$	−2.18771	−	1.58946i	−0.102113	−	0.0741898i
$460$	−2.22870	+	10.0095i	−0.103914	+	0.466696i
$461$	−27.7778	+	20.1817i	−1.29374	+	0.939957i	−0.999874	−	0.0158892i	$-0.994942\pi$
$461$	−27.7778	+	20.1817i	−1.29374	+	0.939957i	−0.293866	+	0.955846i	$0.594942\pi$
$462$	2.28875	−	3.15020i	0.106482	−	0.146560i
$463$	18.7774	−	25.8449i	0.872661	−	1.20112i	−0.105739	−	0.994394i	$-0.533721\pi$
$463$	18.7774	−	25.8449i	0.872661	−	1.20112i	0.978400	−	0.206721i	$-0.0662793\pi$
$464$	−6.85475	+	4.98026i	−0.318224	+	0.231203i
$465$	50.1934	+	29.6283i	2.32766	+	1.37398i
$466$	−2.14658	−	1.55958i	−0.0994385	−	0.0722463i
$467$	−10.3019	+	3.34730i	−0.476717	+	0.154895i	−0.537513	−	0.843256i	$-0.680636\pi$
$467$	−10.3019	+	3.34730i	−0.476717	+	0.154895i	0.0607961	+	0.998150i	$0.480636\pi$
$468$		−	6.83681i		−	0.316031i
$469$	6.18167	+	19.0252i	0.285443	+	0.878504i
$470$	5.48450	+	1.22117i	0.252981	+	0.0563285i
$471$	19.7012	−	60.6340i	0.907783	−	2.79387i
$472$	2.87075	+	0.932763i	0.132137	+	0.0429339i
$473$	4.70093	+	6.47027i	0.216149	+	0.297503i
$474$	−18.2592			−0.838673
$475$	−3.41670	+	3.65050i	−0.156769	+	0.167496i
$476$	−1.21990			−0.0559139
$477$	1.65528	+	2.27830i	0.0757901	+	0.104316i
$478$	−23.4255	−	7.61140i	−1.07146	−	0.348137i
$479$	6.66225	−	20.5043i	0.304406	−	0.936865i	−0.675492	−	0.737367i	$-0.736069\pi$
$479$	6.66225	−	20.5043i	0.304406	−	0.936865i	0.979898	−	0.199498i	$-0.0639311\pi$
$480$	3.93701	+	4.45823i	0.179699	+	0.203489i
$481$	5.51734	+	16.9806i	0.251569	+	0.774250i
$482$			9.36906i			0.426749i
$483$	14.9673	−	4.86317i	0.681036	−	0.221282i
$484$	−7.85756	−	5.70885i	−0.357162	−	0.259493i
$485$	−7.56057	+	6.67666i	−0.343308	+	0.303171i
$486$	−16.8797	+	12.2638i	−0.765679	+	0.556298i
$487$	−11.4148	+	15.7111i	−0.517253	+	0.711938i	−0.985121	−	0.171860i	$-0.945022\pi$
$487$	−11.4148	+	15.7111i	−0.517253	+	0.711938i	0.467868	+	0.883798i	$0.345022\pi$
$488$	−8.05033	+	11.0803i	−0.364421	+	0.501583i
$489$	8.16462	−	5.93194i	0.369217	−	0.268252i
$490$	11.8768	−	1.13259i	0.536539	−	0.0511654i
$491$	−23.6922	−	17.2134i	−1.06922	−	0.776830i	−0.0934443	−	0.995625i	$-0.529788\pi$
$491$	−23.6922	−	17.2134i	−1.06922	−	0.776830i	−0.975771	+	0.218794i	$0.929788\pi$
$492$	−4.82571	+	1.56797i	−0.217560	+	0.0706895i
$493$		−	8.01166i		−	0.360827i
$494$	0.518430	+	1.59557i	0.0233253	+	0.0717879i
$495$	5.25597	−	8.90416i	0.236238	−	0.400212i
$496$	−3.02824	+	9.31997i	−0.135972	+	0.418479i
$497$	−6.52694	−	2.12073i	−0.292773	−	0.0951277i
$498$	16.5746	+	22.8129i	0.742723	+	1.02227i
$499$	6.58184			0.294644			0.147322	−	0.989089i	$-0.452935\pi$
$499$	6.58184			0.294644			0.147322	+	0.989089i	$0.452935\pi$
$500$	3.76111	−	10.5287i	0.168202	−	0.470859i
$501$	9.70930			0.433780
$502$	10.0101	+	13.7778i	0.446775	+	0.614933i
$503$	−29.2258	−	9.49602i	−1.30311	−	0.423407i	−0.426449	−	0.904512i	$-0.640236\pi$
$503$	−29.2258	−	9.49602i	−1.30311	−	0.423407i	−0.876663	+	0.481105i	$0.840236\pi$
$504$	1.62466	−	5.00018i	0.0723680	−	0.222726i
$505$	7.04250	−	11.9307i	0.313387	−	0.530910i
$506$	1.60803	+	4.94902i	0.0714858	+	0.220011i
$507$		−	27.0923i		−	1.20321i
$508$	−2.53520	+	0.823738i	−0.112482	+	0.0365475i
$509$	−10.1579	−	7.38013i	−0.450240	−	0.327119i	0.339450	−	0.940624i	$-0.389759\pi$
$509$	−10.1579	−	7.38013i	−0.450240	−	0.327119i	−0.789691	+	0.613505i	$0.789759\pi$
$510$	−5.59856	+	0.533889i	−0.247908	+	0.0236410i
$511$	10.3351	−	7.50888i	0.457197	−	0.332173i
$512$	−0.587785	+	0.809017i	−0.0259767	+	0.0357538i
$513$	−1.68098	+	2.31367i	−0.0742169	+	0.102151i
$514$	−20.2386	+	14.7042i	−0.892685	+	0.648574i
$515$	−14.5387	+	12.8389i	−0.640650	+	0.565751i
$516$	15.1675	+	11.0198i	0.667710	+	0.485120i
$517$	2.71171	−	0.881088i	0.119261	−	0.0387502i
$518$			13.7301i			0.603265i
$519$	18.8664	+	58.0648i	0.828143	+	2.54876i
$520$	−2.48317	−	2.81191i	−0.108894	−	0.123311i
$521$	0.268552	−	0.826519i	0.0117655	−	0.0362104i	−0.945001	−	0.327066i	$-0.893940\pi$
$521$	0.268552	−	0.826519i	0.0117655	−	0.0362104i	0.956767	+	0.290856i	$0.0939400\pi$
$522$	32.8386	+	10.6699i	1.43731	+	0.467010i
$523$	−12.0162	−	16.5388i	−0.525430	−	0.723192i	0.460996	−	0.887402i	$-0.347492\pi$
$523$	−12.0162	−	16.5388i	−0.525430	−	0.723192i	−0.986425	+	0.164210i	$0.947492\pi$
$524$	3.74496			0.163599
$525$	−16.8490	+	3.24299i	−0.735349	+	0.141536i
$526$	8.79309			0.383397
$527$	−5.44648	−	7.49644i	−0.237252	−	0.326550i
$528$	2.87046	+	0.932670i	0.124921	+	0.0405893i
$529$	0.608307	−	1.87218i	0.0264481	−	0.0813990i
$530$	1.50829	+	0.335835i	0.0655161	+	0.0145877i
$531$	−3.80116	−	11.6988i	−0.164956	−	0.507684i
$532$			1.29013i			0.0559343i
$533$	3.04370	−	0.988956i	0.131837	−	0.0428365i
$534$	−2.40877	−	1.75008i	−0.104238	−	0.0757332i
$535$	1.73312	+	1.02303i	0.0749294	+	0.0442296i
$536$	−12.5443	+	9.11398i	−0.541832	+	0.393664i
$537$	−8.70377	+	11.9797i	−0.375595	+	0.516962i
$538$	11.8148	−	16.2617i	0.509373	−	0.701092i
$539$	4.89796	−	3.55858i	0.210970	−	0.153279i
$540$	1.38983	−	6.24196i	0.0598086	−	0.268611i
$541$	11.5979	+	8.42636i	0.498632	+	0.362278i	0.808494	−	0.588504i	$-0.200283\pi$
$541$	11.5979	+	8.42636i	0.498632	+	0.362278i	−0.309862	+	0.950782i	$0.600283\pi$
$542$	21.1285	−	6.86506i	0.907546	−	0.294880i
$543$		−	56.4960i		−	2.42448i
$544$	−0.292194	−	0.899280i	−0.0125277	−	0.0385563i
$545$	9.36240	−	4.06066i	0.401041	−	0.173940i
$546$	−1.77907	+	5.47541i	−0.0761372	+	0.234326i
$547$	−13.5842	−	4.41376i	−0.580817	−	0.188719i	0.00384966	−	0.999993i	$-0.498775\pi$
$547$	−13.5842	−	4.41376i	−0.580817	−	0.188719i	−0.584666	+	0.811274i	$0.698775\pi$
$548$	−3.77949	−	5.20202i	−0.161452	−	0.222219i
$549$	55.8136			2.38207
$550$	−1.07231	−	5.57120i	−0.0457235	−	0.237557i
$551$	−8.47293			−0.360959
$552$	7.17004	+	9.86872i	0.305177	+	0.420041i
$553$	8.42275	+	2.73672i	0.358172	+	0.116377i
$554$	2.73961	−	8.43165i	0.116395	−	0.358226i
$555$	6.00899	+	63.0125i	0.255068	+	2.67473i
$556$	−0.873760	−	2.68916i	−0.0370557	−	0.114046i
$557$			25.1863i			1.06718i	0.845745	+	0.533588i	$0.179157\pi$
$557$			25.1863i			1.06718i	−0.845745	+	0.533588i	$0.820843\pi$
$558$	37.9804	−	12.3406i	1.60784	−	0.522419i
$559$	−9.56650	−	6.95047i	−0.404620	−	0.293973i
$560$	−1.14789	−	2.64661i	−0.0485072	−	0.111840i
$561$	−2.30883	+	1.67746i	−0.0974789	+	0.0708226i
$562$	3.45054	−	4.74927i	0.145552	−	0.200336i
$563$	5.23175	−	7.20089i	0.220492	−	0.303481i	−0.684413	−	0.729094i	$-0.739942\pi$
$563$	5.23175	−	7.20089i	0.220492	−	0.303481i	0.904905	+	0.425613i	$0.139942\pi$
$564$	5.40736	−	3.92868i	0.227691	−	0.165427i
$565$	−9.08133	−	20.9382i	−0.382054	−	0.880877i
$566$	15.7562	+	11.4475i	0.662280	+	0.481175i
$567$	5.66688	−	1.84128i	0.237987	−	0.0773266i
$568$		−	5.31948i		−	0.223200i
$569$	−4.99023	−	15.3584i	−0.209201	−	0.643856i	−0.999515	−	0.0311526i	$-0.990082\pi$
$569$	−4.99023	−	15.3584i	−0.209201	−	0.643856i	0.790313	−	0.612703i	$-0.209918\pi$
$570$	0.564628	+	5.92090i	0.0236497	+	0.247999i
$571$	6.98807	−	21.5071i	0.292442	−	0.900043i	−0.691627	−	0.722255i	$-0.743106\pi$
$571$	6.98807	−	21.5071i	0.292442	−	0.900043i	0.984069	−	0.177788i	$-0.0568941\pi$
$572$	−1.81047	−	0.588258i	−0.0756997	−	0.0245963i
$573$	8.94235	+	12.3081i	0.373572	+	0.514178i
$574$	2.46105			0.102722
$575$	9.72882	−	20.7638i	0.405720	−	0.865912i
$576$	4.07516			0.169798
$577$	−3.32246	−	4.57297i	−0.138316	−	0.190375i	0.734240	−	0.678890i	$-0.237539\pi$
$577$	−3.32246	−	4.57297i	−0.138316	−	0.190375i	−0.872555	+	0.488515i	$0.837539\pi$
$578$	−15.3176	−	4.97700i	−0.637130	−	0.207016i
$579$	−3.31938	+	10.2160i	−0.137949	+	0.424562i
$580$	17.3816	−	7.53876i	0.721732	−	0.313030i
$581$	−4.22641	−	13.0075i	−0.175341	−	0.539644i
$582$			11.9986i			0.497356i
$583$	0.745748	−	0.242308i	0.0308857	−	0.0100354i
$584$	8.01087	+	5.82024i	0.331492	+	0.240843i
$585$	−3.32254	+	14.9221i	−0.137370	+	0.616955i
$586$	−4.19812	+	3.05011i	−0.173423	+	0.125999i
$587$	15.3513	−	21.1293i	0.633617	−	0.872099i	−0.364638	−	0.931149i	$-0.618807\pi$
$587$	15.3513	−	21.1293i	0.633617	−	0.872099i	0.998255	+	0.0590507i	$0.0188074\pi$
$588$	8.34194	−	11.4817i	0.344016	−	0.473497i
$589$	−7.92804	+	5.76006i	−0.326669	+	0.237339i
$590$	−5.81245	−	3.43099i	−0.239295	−	0.141252i
$591$	−37.4681	−	27.2221i	−1.54123	−	1.11977i
$592$	−10.1215	+	3.28868i	−0.415992	+	0.135164i
$593$			23.1243i			0.949603i	0.880093	+	0.474801i	$0.157480\pi$
$593$			23.1243i			0.949603i	−0.880093	+	0.474801i	$0.842520\pi$
$594$	−1.00277	−	3.08622i	−0.0411443	−	0.126629i
$595$	2.66257	+	0.592844i	0.109155	+	0.0243042i
$596$	−1.57461	+	4.84614i	−0.0644984	+	0.198506i
$597$	23.1352	+	7.51709i	0.946861	+	0.307654i
$598$	−4.52232	−	6.22445i	−0.184932	−	0.254537i
$599$	−38.5864			−1.57660			−0.788300	−	0.615291i	$-0.789038\pi$
$599$	−38.5864			−1.57660			−0.788300	+	0.615291i	$0.789038\pi$
$600$	−6.42639	−	11.6439i	−0.262356	−	0.475361i
$601$	−33.7589			−1.37706			−0.688528	−	0.725210i	$-0.741743\pi$
$601$	−33.7589			−1.37706			−0.688528	+	0.725210i	$0.741743\pi$
$602$	−5.34490	−	7.35663i	−0.217842	−	0.299834i
$603$	60.0954	+	19.5262i	2.44727	+	0.795167i
$604$	0.726480	−	2.23587i	0.0295600	−	0.0909764i
$605$	14.3757	+	16.2789i	0.584454	+	0.661829i
$606$	−5.09269	−	15.6737i	−0.206876	−	0.636700i
$607$		−	38.1091i		−	1.54680i	−0.633919	−	0.773400i	$-0.718555\pi$
$607$		−	38.1091i		−	1.54680i	0.633919	−	0.773400i	$-0.281445\pi$
$608$	−0.951057	+	0.309017i	−0.0385704	+	0.0125323i
$609$	−23.5231	−	17.0905i	−0.953203	−	0.692542i
$610$	22.9556	−	20.2718i	0.929445	−	0.820783i
$611$	−3.41056	+	2.47791i	−0.137976	+	0.100246i
$612$	−2.26492	+	3.11739i	−0.0915539	+	0.126013i
$613$	−1.58036	+	2.17517i	−0.0638299	+	0.0878544i	−0.839739	−	0.542991i	$-0.817292\pi$
$613$	−1.58036	+	2.17517i	−0.0638299	+	0.0878544i	0.775909	+	0.630845i	$0.217292\pi$
$614$	1.80554	−	1.31180i	0.0728659	−	0.0529401i
$615$	11.2947	−	1.07708i	0.455446	−	0.0434322i
$616$	−1.18432	−	0.860459i	−0.0477176	−	0.0346689i
$617$	38.7424	−	12.5882i	1.55971	−	0.506780i	0.602979	−	0.797757i	$-0.293980\pi$
$617$	38.7424	−	12.5882i	1.55971	−	0.506780i	0.956730	+	0.290976i	$0.0939801\pi$
$618$			23.0727i			0.928121i
$619$	13.9756	+	43.0125i	0.561728	+	1.72882i	0.677480	+	0.735542i	$0.263072\pi$
$619$	13.9756	+	43.0125i	0.561728	+	1.72882i	−0.115752	+	0.993278i	$0.536928\pi$
$620$	11.1388	−	18.8703i	0.447345	−	0.757849i
$621$	4.05285	−	12.4734i	0.162635	−	0.500540i
$622$	23.7860	+	7.72853i	0.953731	+	0.309886i
$623$	0.848834	+	1.16832i	0.0340078	+	0.0468078i
$624$	−4.46248			−0.178642
$625$	−13.3258	+	21.1524i	−0.533032	+	0.846095i
$626$	13.5211			0.540414
$627$	1.77404	+	2.44176i	0.0708485	+	0.0975146i
$628$	−22.7955	−	7.40669i	−0.909638	−	0.295559i
$629$	3.10964	−	9.57049i	0.123990	−	0.381600i
$630$	−5.97599	+	10.1239i	−0.238089	+	0.403347i
$631$	8.46807	+	26.0620i	0.337109	+	1.03751i	0.965674	+	0.259757i	$0.0836424\pi$
$631$	8.46807	+	26.0620i	0.337109	+	1.03751i	−0.628565	+	0.777757i	$0.716358\pi$
$632$			6.86457i			0.273058i
$633$	14.1754	−	4.60588i	0.563423	−	0.183067i
$634$	−6.02725	−	4.37905i	−0.239373	−	0.173914i
$635$	5.93370	−	0.565850i	0.235472	−	0.0224551i
$636$	1.48708	−	1.08043i	0.0589665	−	0.0428417i
$637$	−5.26147	+	7.24179i	−0.208467	+	0.286930i
$638$	5.65106	−	7.77802i	0.223728	−	0.307935i
$639$	−17.5377	+	12.7419i	−0.693779	+	0.504060i
$640$	1.67608	−	1.48012i	0.0662527	−	0.0585071i
$641$	−25.3257	−	18.4002i	−1.00031	−	0.726765i	−0.0381521	−	0.999272i	$-0.512147\pi$
$641$	−25.3257	−	18.4002i	−1.00031	−	0.726765i	−0.962154	+	0.272507i	$0.912147\pi$
$642$	2.27685	−	0.739792i	0.0898600	−	0.0291973i
$643$		−	30.7955i		−	1.21445i	−0.794528	−	0.607227i	$-0.792282\pi$
$643$		−	30.7955i		−	1.21445i	0.794528	−	0.607227i	$-0.207718\pi$
$644$	−1.82832	−	5.62698i	−0.0720458	−	0.221734i
$645$	−27.7494	−	31.4231i	−1.09263	−	1.23728i
$646$	0.292194	−	0.899280i	0.0114962	−	0.0353817i
$647$	−27.6053	−	8.96949i	−1.08528	−	0.352627i	−0.288856	−	0.957373i	$-0.593275\pi$
$647$	−27.6053	−	8.96949i	−1.08528	−	0.352627i	−0.796419	+	0.604745i	$0.793275\pi$
$648$	2.71470	+	3.73647i	0.106644	+	0.146782i
$649$	−3.42505			−0.134445
$650$	4.05328	+	7.34410i	0.158983	+	0.288059i
$651$	−33.6288			−1.31801
$652$	−2.23012	−	3.06950i	−0.0873383	−	0.120211i
$653$	−35.7818	−	11.6262i	−1.40025	−	0.454968i	−0.490978	−	0.871172i	$-0.663360\pi$
$653$	−35.7818	−	11.6262i	−1.40025	−	0.454968i	−0.909271	+	0.416204i	$0.863360\pi$
$654$	3.75130	−	11.5453i	0.146687	−	0.451457i
$655$	−8.17382	−	1.81997i	−0.319378	−	0.0711122i
$656$	0.589480	+	1.81423i	0.0230153	+	0.0708339i
$657$		−	40.3522i		−	1.57429i
$658$	−3.08319	+	1.00179i	−0.120195	+	0.0390538i
$659$	−24.9471	−	18.1251i	−0.971801	−	0.706055i	−0.0159396	−	0.999873i	$-0.505074\pi$
$659$	−24.9471	−	18.1251i	−0.971801	−	0.706055i	−0.955861	+	0.293818i	$0.905074\pi$
$660$	−5.81187	−	3.43065i	−0.226227	−	0.133538i
$661$	25.2482	−	18.3439i	0.982042	−	0.713495i	0.0238778	−	0.999715i	$-0.492399\pi$
$661$	25.2482	−	18.3439i	0.982042	−	0.713495i	0.958164	+	0.286220i	$0.0923988\pi$
$662$	−14.4598	+	19.9022i	−0.561997	+	0.773522i
$663$	2.48018	−	3.41368i	0.0963224	−	0.132576i
$664$	8.57655	−	6.23123i	0.332835	−	0.241818i
$665$	0.626977	−	2.81587i	0.0243131	−	0.109195i
$666$	35.0866	+	25.4919i	1.35958	+	0.987793i
$667$	36.9552	−	12.0075i	1.43091	−	0.464931i
$668$		−	3.65023i		−	0.141232i
$669$	−7.96910	−	24.5264i	−0.308103	−	0.948244i
$670$	31.8087	−	13.7961i	1.22888	−	0.532989i
$671$	4.80236	−	14.7802i	0.185393	−	0.570581i
$672$	−3.26369	−	1.06044i	−0.125900	−	0.0409072i
$673$	6.54379	+	9.00675i	0.252245	+	0.347185i	0.916296	−	0.400502i	$-0.131164\pi$
$673$	6.54379	+	9.00675i	0.252245	+	0.347185i	−0.664051	+	0.747687i	$0.731164\pi$
$674$	−22.1444			−0.852971
$675$	−6.06692	+	12.9484i	−0.233516	+	0.498384i
$676$	−10.1854			−0.391746
$677$	26.2735	+	36.1624i	1.00977	+	1.38983i	0.919132	+	0.393949i	$0.128891\pi$
$677$	26.2735	+	36.1624i	1.00977	+	1.38983i	0.0906400	+	0.995884i	$0.471109\pi$
$678$	−25.8201	−	8.38946i	−0.991615	−	0.322195i
$679$	1.79836	−	5.53479i	0.0690148	−	0.212406i
$680$	0.200717	+	2.10479i	0.00769713	+	0.0807149i
$681$	3.88346	+	11.9521i	0.148815	+	0.458004i
$682$		−	11.1195i		−	0.425788i
$683$	−26.4247	+	8.58590i	−1.01111	+	0.328530i	−0.767297	−	0.641291i	$-0.778399\pi$
$683$	−26.4247	+	8.58590i	−1.01111	+	0.328530i	−0.243815	+	0.969822i	$0.578399\pi$
$684$	3.29688	+	2.39532i	0.126059	+	0.0915874i
$685$	5.72111	+	13.1908i	0.218592	+	0.503993i
$686$	−12.8751	+	9.35431i	−0.491574	+	0.357149i
$687$	−24.0316	+	33.0766i	−0.916862	+	1.26195i
$688$	4.14291	−	5.70223i	0.157947	−	0.217396i
$689$	−0.937937	+	0.681451i	−0.0357326	+	0.0259612i
$690$	−10.8535	−	25.0241i	−0.413185	−	0.952653i
$691$	−21.3462	−	15.5089i	−0.812046	−	0.589986i	0.102377	−	0.994746i	$-0.467355\pi$
$691$	−21.3462	−	15.5089i	−0.812046	−	0.589986i	−0.914423	+	0.404760i	$0.867355\pi$
$692$	21.8295	−	7.09285i	0.829835	−	0.269630i
$693$			5.96564i			0.226616i
$694$	8.26732	+	25.4442i	0.313823	+	0.965849i
$695$	0.600212	+	6.29404i	0.0227673	+	0.238746i
$696$	6.96441	−	21.4343i	0.263985	−	0.812463i
$697$	−1.71546	−	0.557388i	−0.0649778	−	0.0211126i
$698$	20.8185	+	28.6541i	0.787990	+	1.08458i
$699$	7.05762			0.266944
$700$	1.21921	+	6.33439i	0.0460817	+	0.239418i
$701$	−40.1628			−1.51693			−0.758464	−	0.651715i	$-0.774050\pi$
$701$	−40.1628			−1.51693			−0.758464	+	0.651715i	$0.774050\pi$
$702$	2.82013	+	3.88158i	0.106439	+	0.146501i
$703$	−10.1215	−	3.28868i	−0.381740	−	0.124035i
$704$	0.350639	−	1.07916i	0.0132152	−	0.0406722i
$705$	−13.7115	+	5.94694i	−0.516404	+	0.223975i
$706$	−11.3908	−	35.0573i	−0.428699	−	1.31940i
$707$			7.99338i			0.300622i
$708$	−7.63596	+	2.48107i	−0.286977	+	0.0932445i
$709$	0.337925	+	0.245517i	0.0126910	+	0.00922057i	0.594113	−	0.804382i	$-0.297503\pi$
$709$	0.337925	+	0.245517i	0.0126910	+	0.00922057i	−0.581422	+	0.813602i	$0.697503\pi$
$710$	−2.58515	+	11.6104i	−0.0970191	+	0.435730i
$711$	22.6316	−	16.4429i	0.848753	−	0.616655i
$712$	−0.657944	+	0.905582i	−0.0246575	+	0.0339381i
$713$	26.4157	−	36.3581i	0.989275	−	1.36162i
$714$	2.62512	−	1.90726i	0.0982426	−	0.0713774i
$715$	3.66569	+	2.16380i	0.137089	+	0.0809214i
$716$	4.50379	+	3.27219i	0.168314	+	0.122288i
$717$	62.3098	−	20.2457i	2.32700	−	0.756089i
$718$			30.7516i			1.14764i
$719$	−10.5333	−	32.4183i	−0.392827	−	1.20900i	−0.930641	−	0.365934i	$-0.880750\pi$
$719$	−10.5333	−	32.4183i	−0.392827	−	1.20900i	0.537814	−	0.843064i	$-0.319250\pi$
$720$	−8.89453	−	1.98044i	−0.331480	−	0.0738068i
$721$	3.45817	−	10.6432i	0.128789	−	0.396372i
$722$	−0.951057	−	0.309017i	−0.0353947	−	0.0115004i
$723$	−14.6482	−	20.1615i	−0.544771	−	0.749813i
$724$	−21.2398			−0.789370
$725$	−41.6011	+	8.00714i	−1.54503	+	0.297378i
$726$	25.8344			0.958804
$727$	19.2804	+	26.5372i	0.715072	+	0.984212i	0.999673	+	0.0255657i	$0.00813871\pi$
$727$	19.2804	+	26.5372i	0.715072	+	0.984212i	−0.284602	+	0.958646i	$0.591861\pi$
$728$	2.05849	+	0.668844i	0.0762927	+	0.0247890i
$729$	12.8681	−	39.6040i	0.476598	−	1.46682i
$730$	−14.6562	−	16.5965i	−0.542449	−	0.614263i
$731$	2.05948	+	6.33844i	0.0761727	+	0.234436i
$732$		−	36.4303i		−	1.34650i
$733$	0.371994	−	0.120868i	0.0137399	−	0.00446437i	−0.302139	−	0.953264i	$-0.597701\pi$
$733$	0.371994	−	0.120868i	0.0137399	−	0.00446437i	0.315879	+	0.948800i	$0.397701\pi$
$734$	−1.04886	−	0.762039i	−0.0387140	−	0.0281274i
$735$	−23.7871	+	21.0061i	−0.877401	+	0.774823i
$736$	3.71016	−	2.69559i	0.136758	−	0.0993607i
$737$	10.3416	−	14.2339i	0.380936	−	0.524313i
$738$	4.56931	−	6.28911i	0.168199	−	0.231505i
$739$	21.3194	−	15.4894i	0.784247	−	0.569789i	−0.122004	−	0.992530i	$-0.538932\pi$
$739$	21.3194	−	15.4894i	0.784247	−	0.569789i	0.906250	+	0.422741i	$0.138932\pi$
$740$	23.6896	−	2.25909i	0.870848	−	0.0830458i
$741$	−3.61022	−	2.62298i	−0.132625	−	0.0963576i
$742$	−0.847907	+	0.275502i	−0.0311277	+	0.0101140i
$743$		−	43.2693i		−	1.58740i	−0.608311	−	0.793698i	$-0.708153\pi$
$743$		−	43.2693i		−	1.58740i	0.608311	−	0.793698i	$-0.291847\pi$
$744$	−8.05488	−	24.7904i	−0.295306	−	0.908859i
$745$	5.79189	−	9.81205i	0.212198	−	0.359486i
$746$	−2.41842	+	7.44314i	−0.0885447	+	0.272513i
$747$	−41.0872	−	13.3500i	−1.50330	−	0.488452i
$748$	0.630645	+	0.868008i	0.0230587	+	0.0317375i
$749$	−1.16116			−0.0424280
$750$	8.36766	+	28.5373i	0.305544	+	1.04204i
$751$	3.36439			0.122768			0.0613842	−	0.998114i	$-0.480449\pi$
$751$	3.36439			0.122768			0.0613842	+	0.998114i	$0.480449\pi$
$752$	−1.47699	−	2.03291i	−0.0538604	−	0.0741324i
$753$	−43.0820	−	13.9982i	−1.57000	−	0.510123i
$754$	−4.39263	+	13.5191i	−0.159970	+	0.492337i
$755$	−2.67222	+	4.52701i	−0.0972519	+	0.164755i
$756$	1.14014	+	3.50900i	0.0414666	+	0.127621i
$757$		−	36.2840i		−	1.31877i	−0.751807	−	0.659383i	$-0.770818\pi$
$757$		−	36.2840i		−	1.31877i	0.751807	−	0.659383i	$-0.229182\pi$
$758$	−11.5754	+	3.76109i	−0.420439	+	0.136609i
$759$	−11.1979	−	8.13578i	−0.406460	−	0.295310i
$760$	2.22597	−	0.212273i	0.0807444	−	0.00769994i
$761$	−26.4500	+	19.2171i	−0.958812	+	0.696618i	−0.952875	−	0.303365i	$-0.901890\pi$
$761$	−26.4500	+	19.2171i	−0.958812	+	0.696618i	−0.00593753	+	0.999982i	$0.501890\pi$
$762$	4.16767	−	5.73631i	0.150979	−	0.207805i
$763$	−3.46086	+	4.76346i	−0.125292	+	0.172449i
$764$	4.62725	−	3.36189i	0.167408	−	0.121629i
$765$	6.45844	−	5.70338i	0.233505	−	0.206206i
$766$	−15.9180	−	11.5651i	−0.575139	−	0.417863i
$767$	4.81619	−	1.56487i	0.173903	−	0.0565043i
$768$		−	2.65992i		−	0.0959815i
$769$	15.5197	+	47.7648i	0.559656	+	1.72244i	0.683320	+	0.730119i	$0.260536\pi$
$769$	15.5197	+	47.7648i	0.559656	+	1.72244i	−0.123664	+	0.992324i	$0.539464\pi$
$770$	2.16676	+	2.45361i	0.0780845	+	0.0884220i
$771$	20.5624	−	63.2844i	0.740535	−	2.27913i
$772$	3.84072	+	1.24792i	0.138230	+	0.0449138i
$773$	20.4512	+	28.1487i	0.735578	+	1.01244i	0.998861	+	0.0477181i	$0.0151949\pi$
$773$	20.4512	+	28.1487i	0.735578	+	1.01244i	−0.263282	+	0.964719i	$0.584805\pi$
$774$	−28.7232			−1.03243
$775$	−33.4823	+	35.7734i	−1.20272	+	1.28502i
$776$	4.51087			0.161931
$777$	−21.4665	−	29.5460i	−0.770105	−	1.05996i
$778$	1.22584	+	0.398300i	0.0439486	+	0.0142798i
$779$	−0.589480	+	1.81423i	−0.0211203	+	0.0650016i
$780$	9.73990	+	2.16867i	0.348744	+	0.0776509i
$781$	1.86521	+	5.74054i	0.0667426	+	0.205413i
$782$			4.33634i			0.155067i
$783$	−23.0453	+	7.48788i	−0.823573	+	0.267595i
$784$	−4.31656	−	3.13616i	−0.154163	−	0.112006i
$785$	46.1543	+	27.2441i	1.64732	+	0.972384i
$786$	−8.05886	+	5.85510i	−0.287450	+	0.208845i
$787$	20.4063	−	28.0869i	0.727406	−	1.00119i	−0.271839	−	0.962343i	$-0.587632\pi$
$787$	20.4063	−	28.0869i	0.727406	−	1.00119i	0.999245	−	0.0388459i	$-0.0123681\pi$
$788$	−10.2342	+	14.0862i	−0.364578	+	0.501799i
$789$	−18.9220	+	13.7476i	−0.673641	+	0.489429i
$790$	3.33604	−	14.9827i	0.118691	−	0.533062i
$791$	10.6531	+	7.73992i	0.378780	+	0.275200i
$792$	−4.39773	+	1.42891i	−0.156267	+	0.0507741i
$793$			22.9775i			0.815956i
$794$	−8.21011	−	25.2681i	−0.291366	−	0.896732i
$795$	−3.77079	+	1.63547i	−0.133736	+	0.0580041i
$796$	2.82606	−	8.69772i	0.100167	−	0.308282i
$797$	29.3927	+	9.55028i	1.04114	+	0.338288i	0.779187	−	0.626791i	$-0.215632\pi$
$797$	29.3927	+	9.55028i	1.04114	+	0.338288i	0.261957	+	0.965080i	$0.415632\pi$
$798$	−2.01707	−	2.77626i	−0.0714035	−	0.0982785i
$799$	2.37601			0.0840572
$800$	−4.37754	+	2.41601i	−0.154770	+	0.0854188i
$801$	4.56158			0.161175
$802$	4.07876	+	5.61393i	0.144026	+	0.198235i
$803$	−10.6858	−	3.47202i	−0.377093	−	0.122525i
$804$	12.7450	−	39.2251i	0.449482	−	1.38336i
$805$	1.25592	+	13.1701i	0.0442655	+	0.464184i
$806$	5.08041	+	15.6359i	0.178950	+	0.550751i
$807$			53.4659i			1.88209i
$808$	−5.89254	+	1.91460i	−0.207299	+	0.0673555i
$809$	25.4661	+	18.5022i	0.895342	+	0.650504i	0.937265	−	0.348617i	$-0.113349\pi$
$809$	25.4661	+	18.5022i	0.895342	+	0.650504i	−0.0419237	+	0.999121i	$0.513349\pi$
$810$	−4.10932	−	9.47458i	−0.144387	−	0.332903i
$811$	11.5984	−	8.42676i	0.407276	−	0.295904i	−0.365222	−	0.930920i	$-0.619007\pi$
$811$	11.5984	−	8.42676i	0.407276	−	0.295904i	0.772498	+	0.635017i	$0.219007\pi$
$812$	−6.42520	+	8.84353i	−0.225480	+	0.310347i
$813$	−34.7335	+	47.8066i	−1.21816	+	1.67665i
$814$	9.76955	−	7.09799i	0.342422	−	0.248784i
$815$	3.37579	+	7.78334i	0.118249	+	0.272639i
$816$	2.03477	+	1.47834i	0.0712311	+	0.0517524i
$817$	6.70337	−	2.17806i	0.234521	−	0.0762006i
$818$			20.4718i			0.715781i
$819$	−2.72565	−	8.38868i	−0.0952419	−	0.293124i
$820$	−0.404931	−	4.24625i	−0.0141408	−	0.148286i
$821$	−13.5623	+	41.7404i	−0.473327	+	1.45675i	0.374874	+	0.927076i	$0.377686\pi$
$821$	−13.5623	+	41.7404i	−0.473327	+	1.45675i	−0.848201	+	0.529675i	$0.822314\pi$
$822$	16.2663	+	5.28524i	0.567352	+	0.184344i
$823$	−7.62131	−	10.4898i	−0.265662	−	0.365653i	0.655257	−	0.755406i	$-0.272560\pi$
$823$	−7.62131	−	10.4898i	−0.265662	−	0.365653i	−0.920919	+	0.389753i	$0.872560\pi$
$824$	8.67422			0.302181
$825$	11.0179	+	10.3122i	0.383593	+	0.359026i
$826$	3.89424			0.135498
$827$	26.6990	+	36.7480i	0.928415	+	1.27785i	0.960475	+	0.278368i	$0.0897934\pi$
$827$	26.6990	+	36.7480i	0.928415	+	1.27785i	−0.0320594	+	0.999486i	$0.510207\pi$
$828$	−17.7740	−	5.77514i	−0.617691	−	0.200700i
$829$	−9.54896	+	29.3887i	−0.331649	+	1.02071i	0.636700	+	0.771112i	$0.280299\pi$
$829$	−9.54896	+	29.3887i	−0.331649	+	1.02071i	−0.968349	+	0.249600i	$0.919701\pi$
$830$	−21.7476	+	9.43237i	−0.754869	+	0.327402i
$831$	7.28713	+	22.4275i	0.252788	+	0.778001i
$832$			1.67768i			0.0581630i
$833$	4.79816	−	1.55902i	0.166247	−	0.0540168i
$834$	6.08465	+	4.42076i	0.210694	+	0.153078i
$835$	−1.77393	+	7.96705i	−0.0613895	+	0.275711i
$836$	0.917984	−	0.666955i	0.0317491	−	0.0230671i
$837$	−16.4729	+	22.6730i	−0.569387	+	0.783694i
$838$	−2.07737	+	2.85926i	−0.0717617	+	0.0987715i
$839$	11.1743	−	8.11862i	0.385781	−	0.280286i	−0.377944	−	0.925829i	$-0.623369\pi$
$839$	11.1743	−	8.11862i	0.385781	−	0.280286i	0.763724	+	0.645543i	$0.223369\pi$
$840$	6.60804	+	3.90061i	0.227999	+	0.134584i
$841$	−34.6183	−	25.1517i	−1.19374	−	0.867299i
$842$	2.20131	−	0.715249i	0.0758622	−	0.0246491i
$843$			15.6148i			0.537803i
$844$	−1.73159	−	5.32927i	−0.0596036	−	0.183441i
$845$	22.2308	+	4.94989i	0.764764	+	0.170281i
$846$	−3.16437	+	9.73892i	−0.108793	+	0.334831i
$847$	−11.9171	−	3.87210i	−0.409476	−	0.133047i
$848$	−0.406188	−	0.559069i	−0.0139485	−	0.0191985i
$849$	−51.8037			−1.77790
$850$	0.584794	−	4.69149i	0.0200583	−	0.160917i
$851$	48.8061			1.67305
$852$	8.31679	+	11.4471i	0.284929	+	0.392171i
$853$	40.5903	+	13.1886i	1.38978	+	0.451568i	0.905873	−	0.423549i	$-0.139216\pi$
$853$	40.5903	+	13.1886i	1.38978	+	0.451568i	0.483911	+	0.875117i	$0.339216\pi$
$854$	−5.46024	+	16.8049i	−0.186845	+	0.575051i
$855$	−6.03175	−	6.83029i	−0.206281	−	0.233591i
$856$	−0.278126	−	0.855984i	−0.00950615	−	0.0292569i
$857$		−	25.9970i		−	0.888040i	−0.896017	−	0.444020i	$-0.853552\pi$
$857$		−	25.9970i		−	0.888040i	0.896017	−	0.444020i	$-0.146448\pi$
$858$	4.81571	−	1.56472i	0.164406	−	0.0534186i
$859$	−2.17744	−	1.58200i	−0.0742934	−	0.0539773i	0.550019	−	0.835152i	$-0.314621\pi$
$859$	−2.17744	−	1.58200i	−0.0742934	−	0.0539773i	−0.624312	+	0.781175i	$0.714621\pi$
$860$	−11.8136	+	10.4324i	−0.402839	+	0.355743i
$861$	−5.29598	+	3.84776i	−0.180487	+	0.131131i
$862$	−11.2250	+	15.4499i	−0.382324	+	0.526224i
$863$	−16.0877	+	22.1428i	−0.547630	+	0.753749i	−0.989688	−	0.143238i	$-0.954249\pi$
$863$	−16.0877	+	22.1428i	−0.547630	+	0.753749i	0.442058	+	0.896987i	$0.354249\pi$
$864$	−2.31367	+	1.68098i	−0.0787125	+	0.0571880i
$865$	−51.0925	+	4.87228i	−1.73720	+	0.165663i
$866$	4.87946	+	3.54514i	0.165811	+	0.120469i
$867$	40.7437	−	13.2384i	1.38373	−	0.449600i
$868$			12.6428i			0.429124i
$869$	−2.40698	−	7.40794i	−0.0816514	−	0.251297i
$870$	−25.6172	+	43.3982i	−0.868506	+	1.47134i
$871$	−8.03859	+	24.7402i	−0.272377	+	0.838291i
$872$	−4.34048	−	1.41031i	−0.146987	−	0.0477590i
$873$	−10.8050	−	14.8718i	−0.365694	−	0.503334i
$874$	4.58601			0.155124
$875$	0.417317	−	14.4181i	0.0141079	−	0.487420i
$876$	−26.3385			−0.889894
$877$	−11.7241	−	16.1368i	−0.395895	−	0.544902i	0.563813	−	0.825902i	$-0.309334\pi$
$877$	−11.7241	−	16.1368i	−0.395895	−	0.544902i	−0.959708	+	0.281000i	$0.909334\pi$
$878$	−9.32982	−	3.03144i	−0.314866	−	0.102306i
$879$	4.26528	−	13.1272i	0.143864	−	0.442769i
$880$	−1.28976	+	2.18498i	−0.0434777	+	0.0736557i
$881$	5.34093	+	16.4377i	0.179940	+	0.553800i	0.999825	−	0.0187298i	$-0.00596222\pi$
$881$	5.34093	+	16.4377i	0.179940	+	0.553800i	−0.819884	+	0.572529i	$0.805962\pi$
$882$			21.7433i			0.732134i
$883$	−30.3870	+	9.87333i	−1.02260	+	0.332264i	−0.771862	−	0.635790i	$-0.780674\pi$
$883$	−30.3870	+	9.87333i	−1.02260	+	0.332264i	−0.250742	+	0.968054i	$0.580674\pi$
$884$	−1.28338	−	0.932429i	−0.0431647	−	0.0313610i
$885$	17.8721	−	1.70432i	0.600765	−	0.0572902i
$886$	−3.56847	+	2.59265i	−0.119885	+	0.0871016i
$887$	−27.1290	+	37.3399i	−0.910904	+	1.25375i	0.0559537	+	0.998433i	$0.482180\pi$
$887$	−27.1290	+	37.3399i	−0.910904	+	1.25375i	−0.966857	+	0.255318i	$0.917820\pi$
$888$	16.6390	−	22.9016i	0.558367	−	0.768526i
$889$	−2.78227	+	2.02143i	−0.0933142	+	0.0677967i
$890$	1.87613	−	1.65679i	0.0628882	−	0.0555358i
$891$	−4.23974	−	3.08035i	−0.142037	−	0.103196i
$892$	−9.22072	+	2.99599i	−0.308733	+	0.100313i
$893$		−	2.51281i		−	0.0840879i
$894$	−4.18832	−	12.8903i	−0.140079	−	0.431117i
$895$	−8.23983	−	9.33070i	−0.275427	−	0.311891i
$896$	−0.398673	+	1.22699i	−0.0133187	+	0.0409908i
$897$	19.4634	+	6.32403i	0.649862	+	0.211153i
$898$	−6.18322	−	8.51047i	−0.206337	−	0.283998i
$899$	−83.0314			−2.76925
$900$	18.4509	+	8.64511i	0.615030	+	0.288170i
$901$	0.653426			0.0217688
$902$	−1.27228	−	1.75114i	−0.0423623	−	0.0583067i
$903$	23.0036	+	7.47432i	0.765512	+	0.248730i
$904$	−3.15403	+	9.70711i	−0.104901	+	0.322854i
$905$	46.3583	+	10.3221i	1.54100	+	0.343117i
$906$	1.93238	+	5.94724i	0.0641989	+	0.197584i
$907$		−	32.3551i		−	1.07433i	−0.843476	−	0.537167i	$-0.819494\pi$
$907$		−	32.3551i		−	1.07433i	0.843476	−	0.537167i	$-0.180506\pi$
$908$	4.49340	−	1.45999i	0.149119	−	0.0484516i
$909$	20.4268	+	14.8409i	0.677513	+	0.492242i
$910$	−4.16785	−	2.46021i	−0.138163	−	0.0815553i
$911$	−11.7274	+	8.52042i	−0.388545	+	0.282294i	−0.764859	−	0.644198i	$-0.777191\pi$
$911$	−11.7274	+	8.52042i	−0.388545	+	0.282294i	0.376314	+	0.926492i	$0.377191\pi$
$912$	1.56346	−	2.15192i	0.0517714	−	0.0712572i
$913$	−7.07052	+	9.73173i	−0.234000	+	0.322073i
$914$	1.03881	−	0.754742i	0.0343609	−	0.0249647i
$915$	−17.7044	+	79.5135i	−0.585289	+	2.62864i
$916$	12.4352	+	9.03471i	0.410871	+	0.298515i
$917$	4.59503	−	1.49301i	0.151741	−	0.0493037i
$918$		−	2.70416i		−	0.0892504i
$919$	−13.5518	−	41.7081i	−0.447032	−	1.37582i	−0.880240	−	0.474529i	$-0.842618\pi$
$919$	−13.5518	−	41.7081i	−0.447032	−	1.37582i	0.433208	−	0.901294i	$-0.357382\pi$
$920$	−9.40786	+	4.08038i	−0.310168	+	0.134526i
$921$	−1.83443	+	5.64580i	−0.0604465	+	0.186035i
$922$	−32.6547	−	10.6102i	−1.07543	−	0.349427i
$923$	−5.24561	−	7.21996i	−0.172661	−	0.237648i
$924$	3.89386			0.128098
$925$	−52.8033	−	6.58193i	−1.73616	−	0.216413i
$926$	31.9461			1.04981
$927$	−20.7775	−	28.5978i	−0.682424	−	0.939276i
$928$	−8.05824	−	2.61828i	−0.264525	−	0.0859493i
$929$	0.0216344	−	0.0665837i	0.000709800	−	0.00218454i	−0.950701	−	0.310109i	$-0.899634\pi$
$929$	0.0216344	−	0.0665837i	0.000709800	−	0.00218454i	0.951411	+	0.307925i	$0.0996344\pi$
$930$	5.53313	+	58.0224i	0.181439	+	1.90263i
$931$	−1.64878	−	5.07442i	−0.0540365	−	0.166307i
$932$		−	2.65332i		−	0.0869125i
$933$	−63.2688	+	20.5573i	−2.07133	+	0.673015i
$934$	−8.76335	−	6.36695i	−0.286746	−	0.208333i
$935$	−0.954624	−	2.20101i	−0.0312195	−	0.0719808i
$936$	5.53109	−	4.01857i	0.180789	−	0.131351i
$937$	31.7579	−	43.7110i	1.03749	−	1.42798i	0.138311	−	0.990389i	$-0.455833\pi$
$937$	31.7579	−	43.7110i	1.03749	−	1.42798i	0.899175	−	0.437588i	$-0.144167\pi$
$938$	−11.7582	+	16.1838i	−0.383920	+	0.528421i
$939$	−29.0964	+	21.1398i	−0.949525	+	0.689870i
$940$	2.23576	+	5.15484i	0.0729225	+	0.168132i
$941$	25.3367	+	18.4082i	0.825953	+	0.600090i	0.918411	−	0.395627i	$-0.129473\pi$
$941$	25.3367	+	18.4082i	0.825953	+	0.600090i	−0.0924586	+	0.995717i	$0.529473\pi$
$942$	60.6340	−	19.7012i	1.97556	−	0.641900i
$943$		−	8.74826i		−	0.284882i
$944$	0.932763	+	2.87075i	0.0303589	+	0.0934349i
$945$	−0.783198	−	8.21290i	−0.0254774	−	0.267166i
$946$	−2.47142	+	7.60626i	−0.0803529	+	0.247301i
$947$	17.3033	+	5.62217i	0.562280	+	0.182696i	0.576347	−	0.817205i	$-0.304478\pi$
$947$	17.3033	+	5.62217i	0.562280	+	0.182696i	−0.0140667	+	0.999901i	$0.504478\pi$
$948$	−10.7325	−	14.7720i	−0.348575	−	0.479772i
$949$	16.6123			0.539259
$950$	−4.96160	−	0.618464i	−0.160976	−	0.0200656i
$951$	19.8166			0.642598
$952$	−0.717037	−	0.986917i	−0.0232393	−	0.0319862i
$953$	28.8616	+	9.37771i	0.934920	+	0.303774i	0.736573	−	0.676358i	$-0.236443\pi$
$953$	28.8616	+	9.37771i	0.934920	+	0.303774i	0.198347	+	0.980132i	$0.436443\pi$
$954$	−0.870233	+	2.67830i	−0.0281748	+	0.0867132i
$955$	−11.7333	+	5.08898i	−0.379681	+	0.164676i
$956$	−7.61140	−	23.4255i	−0.246170	−	0.757634i
$957$			25.5729i			0.826654i
$958$	20.5043	−	6.66225i	0.662463	−	0.215247i
$959$	−6.71129	−	4.87604i	−0.216719	−	0.157455i
$960$	−1.29266	+	5.80559i	−0.0417206	+	0.187375i
$961$	−52.6121	+	38.2250i	−1.69717	+	1.23306i
$962$	−10.4946	+	14.4446i	−0.338360	+	0.465712i
$963$	−2.15587	+	2.96730i	−0.0694720	+	0.0956200i
$964$	−7.57973	+	5.50700i	−0.244127	+	0.177368i
$965$	−7.77636	−	4.59025i	−0.250330	−	0.147765i
$966$	12.7320	+	9.25030i	0.409644	+	0.297624i
$967$	32.0129	−	10.4016i	1.02947	−	0.334494i	0.254887	−	0.966971i	$-0.417962\pi$
$967$	32.0129	−	10.4016i	1.02947	−	0.334494i	0.774579	+	0.632477i	$0.217962\pi$
$968$		−	9.71248i		−	0.312171i
$969$	0.777212	+	2.39201i	0.0249676	+	0.0768425i
$970$	−9.84552	−	2.19219i	−0.316121	−	0.0703870i
$971$	−6.15114	+	18.9313i	−0.197399	+	0.607533i	0.802541	+	0.596597i	$0.203481\pi$
$971$	−6.15114	+	18.9313i	−0.197399	+	0.607533i	−0.999940	+	0.0109357i	$0.996519\pi$
$972$	−19.8433	−	6.44747i	−0.636473	−	0.206803i
$973$	−2.14419	−	2.95122i	−0.0687395	−	0.0946118i
$974$	−19.4200			−0.622256
$975$	−20.2045	−	9.46677i	−0.647063	−	0.303179i
$976$	−13.6960			−0.438399
$977$	9.95714	+	13.7048i	0.318557	+	0.438456i	0.938026	−	0.346565i	$-0.112652\pi$
$977$	9.95714	+	13.7048i	0.318557	+	0.438456i	−0.619469	+	0.785021i	$0.712652\pi$
$978$	9.59808	+	3.11861i	0.306913	+	0.0997220i
$979$	0.392491	−	1.20796i	0.0125441	−	0.0386067i
$980$	7.89729	+	8.94280i	0.252270	+	0.285667i
$981$	5.74723	+	17.6882i	0.183495	+	0.564739i
$982$		−	29.2852i		−	0.934528i
$983$	−39.5545	+	12.8520i	−1.26159	+	0.409916i	−0.862061	−	0.506804i	$-0.830827\pi$
$983$	−39.5545	+	12.8520i	−1.26159	+	0.409916i	−0.399530	+	0.916720i	$0.630827\pi$
$984$	−4.10499	−	2.98245i	−0.130862	−	0.0950771i
$985$	29.1829	−	25.7711i	0.929846	−	0.821137i
$986$	6.48157	−	4.70914i	0.206415	−	0.149969i
$987$	5.06851	−	6.97621i	0.161333	−	0.222055i
$988$	−0.986113	+	1.35727i	−0.0313724	+	0.0431805i
$989$	−26.1505	+	18.9994i	−0.831537	+	0.604147i
$990$	10.2930	−	0.981560i	0.327133	−	0.0311960i
$991$	42.8257	+	31.1147i	1.36040	+	0.988391i	0.998419	+	0.0562065i	$0.0179005\pi$
$991$	42.8257	+	31.1147i	1.36040	+	0.988391i	0.361984	+	0.932184i	$0.382099\pi$
$992$	−9.31997	+	3.02824i	−0.295909	+	0.0961468i
$993$		−	65.4353i		−	2.07653i
$994$	−2.12073	−	6.52694i	−0.0672655	−	0.207022i
$995$	−10.3951	+	17.6104i	−0.329547	+	0.558287i
$996$	−8.71376	+	26.8182i	−0.276106	+	0.849767i
$997$	30.8435	+	10.0217i	0.976824	+	0.317389i	0.753567	−	0.657371i	$-0.228331\pi$
$997$	30.8435	+	10.0217i	0.976824	+	0.317389i	0.223256	+	0.974760i	$0.428331\pi$
$998$	3.86871	+	5.32482i	0.122462	+	0.168554i
$999$	−30.4356			−0.962940

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	950.2.n.b.39.14	✓	96
25.9	even	10	inner	950.2.n.b.609.14	yes	96

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
950.2.n.b.39.14	✓	96	1.1	even	1	trivial
950.2.n.b.609.14	yes	96	25.9	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:	\( N \)	\(=\)	\( 950 = 2 \cdot 5^{2} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	950.n (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.587785 + 0.809017i) q^{2} +(-2.52973 - 0.821960i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(1.13666 - 1.92562i) q^{5} +(-0.821960 - 2.52973i) q^{6} +1.29013i q^{7} +(-0.951057 + 0.309017i) q^{8} +(3.29688 + 2.39532i) q^{9} +O(q^{10})\)	\(q+(0.587785 + 0.809017i) q^{2} +(-2.52973 - 0.821960i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(1.13666 - 1.92562i) q^{5} +(-0.821960 - 2.52973i) q^{6} +1.29013i q^{7} +(-0.951057 + 0.309017i) q^{8} +(3.29688 + 2.39532i) q^{9} +(2.22597 - 0.212273i) q^{10} +(0.917984 - 0.666955i) q^{11} +(1.56346 - 2.15192i) q^{12} +(-0.986113 + 1.35727i) q^{13} +(-1.04374 + 0.758321i) q^{14} +(-4.45823 + 3.93701i) q^{15} +(-0.809017 - 0.587785i) q^{16} +(0.899280 - 0.292194i) q^{17} +4.07516i q^{18} +(-0.309017 - 0.951057i) q^{19} +(1.48012 + 1.67608i) q^{20} +(1.06044 - 3.26369i) q^{21} +(1.07916 + 0.350639i) q^{22} +(2.69559 + 3.71016i) q^{23} +2.65992 q^{24} +(-2.41601 - 4.37754i) q^{25} -1.67768 q^{26} +(-1.68098 - 2.31367i) q^{27} +(-1.22699 - 0.398673i) q^{28} +(2.61828 - 8.05824i) q^{29} +(-5.80559 - 1.29266i) q^{30} +(-3.02824 - 9.31997i) q^{31} -1.00000i q^{32} +(-2.87046 + 0.932670i) q^{33} +(0.764973 + 0.555786i) q^{34} +(2.48430 + 1.46644i) q^{35} +(-3.29688 + 2.39532i) q^{36} +(6.25544 - 8.60987i) q^{37} +(0.587785 - 0.809017i) q^{38} +(3.61022 - 2.62298i) q^{39} +(-0.485979 + 2.18262i) q^{40} +(-1.54328 - 1.12126i) q^{41} +(3.26369 - 1.06044i) q^{42} +7.04834i q^{43} +(0.350639 + 1.07916i) q^{44} +(8.35990 - 3.62586i) q^{45} +(-1.41715 + 4.36155i) q^{46} +(2.38982 + 0.776501i) q^{47} +(1.56346 + 2.15192i) q^{48} +5.33556 q^{49} +(2.12141 - 4.52765i) q^{50} -2.51511 q^{51} +(-0.986113 - 1.35727i) q^{52} +(0.657225 + 0.213545i) q^{53} +(0.883742 - 2.71988i) q^{54} +(-0.240864 - 2.52579i) q^{55} +(-0.398673 - 1.22699i) q^{56} +2.65992i q^{57} +(8.05824 - 2.61828i) q^{58} +(-2.44201 - 1.77422i) q^{59} +(-2.36665 - 5.45663i) q^{60} +(11.0803 - 8.05033i) q^{61} +(5.76006 - 7.92804i) q^{62} +(-3.09028 + 4.25341i) q^{63} +(0.809017 - 0.587785i) q^{64} +(1.49271 + 3.44163i) q^{65} +(-2.44176 - 1.77404i) q^{66} +(14.7467 - 4.79150i) q^{67} +0.945559i q^{68} +(-3.76952 - 11.6014i) q^{69} +(0.273860 + 2.87179i) q^{70} +(-1.64381 + 5.05912i) q^{71} +(-3.87571 - 1.25929i) q^{72} +(-5.82024 - 8.01087i) q^{73} +10.6424 q^{74} +(2.51369 + 13.0599i) q^{75} +1.00000 q^{76} +(0.860459 + 1.18432i) q^{77} +(4.24407 + 1.37898i) q^{78} +(2.12127 - 6.52859i) q^{79} +(-2.05143 + 0.889746i) q^{80} +(-1.42720 - 4.39248i) q^{81} -1.90760i q^{82} +(-10.0823 + 3.27595i) q^{83} +(2.77626 + 2.01707i) q^{84} +(0.459522 - 2.06380i) q^{85} +(-5.70223 + 4.14291i) q^{86} +(-13.2471 + 18.2331i) q^{87} +(-0.666955 + 0.917984i) q^{88} +(0.905582 - 0.657944i) q^{89} +(7.84721 + 4.63207i) q^{90} +(-1.75106 - 1.27222i) q^{91} +(-4.36155 + 1.41715i) q^{92} +26.0661i q^{93} +(0.776501 + 2.38982i) q^{94} +(-2.18262 - 0.485979i) q^{95} +(-0.821960 + 2.52973i) q^{96} +(-4.29010 - 1.39394i) q^{97} +(3.13616 + 4.31656i) q^{98} +4.62405 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 96 q + 24 q^{4} + 8 q^{5} - 6 q^{6} + 34 q^{9}+O(q^{10}) \) 96 * q + 24 * q^4 + 8 * q^5 - 6 * q^6 + 34 * q^9	\( 96 q + 24 q^{4} + 8 q^{5} - 6 q^{6} + 34 q^{9} - 24 q^{11} + 10 q^{12} + 10 q^{14} - 8 q^{15} - 24 q^{16} + 30 q^{17} + 24 q^{19} + 2 q^{20} - 24 q^{24} - 60 q^{25} + 84 q^{26} - 30 q^{27} - 10 q^{28} - 4 q^{29} + 16 q^{30} - 14 q^{31} + 100 q^{33} + 8 q^{34} + 42 q^{35} - 34 q^{36} - 30 q^{37} + 32 q^{39} + 12 q^{41} + 10 q^{42} + 4 q^{44} - 18 q^{45} - 10 q^{46} + 10 q^{48} - 132 q^{49} - 36 q^{50} + 36 q^{51} + 30 q^{53} + 24 q^{54} - 4 q^{55} - 10 q^{56} + 60 q^{58} + 16 q^{59} + 8 q^{60} + 42 q^{61} - 110 q^{63} + 24 q^{64} + 12 q^{65} - 20 q^{66} + 130 q^{67} - 8 q^{69} + 20 q^{70} - 8 q^{71} - 120 q^{73} - 124 q^{74} - 24 q^{75} + 96 q^{76} - 50 q^{78} + 4 q^{79} - 2 q^{80} - 10 q^{81} - 70 q^{83} + 52 q^{85} - 44 q^{86} - 70 q^{87} + 10 q^{88} - 26 q^{89} + 32 q^{90} - 4 q^{91} - 10 q^{92} + 10 q^{94} + 2 q^{95} - 6 q^{96} - 10 q^{97} - 60 q^{98} - 184 q^{99}+O(q^{100}) \) 96 * q + 24 * q^4 + 8 * q^5 - 6 * q^6 + 34 * q^9 - 24 * q^11 + 10 * q^12 + 10 * q^14 - 8 * q^15 - 24 * q^16 + 30 * q^17 + 24 * q^19 + 2 * q^20 - 24 * q^24 - 60 * q^25 + 84 * q^26 - 30 * q^27 - 10 * q^28 - 4 * q^29 + 16 * q^30 - 14 * q^31 + 100 * q^33 + 8 * q^34 + 42 * q^35 - 34 * q^36 - 30 * q^37 + 32 * q^39 + 12 * q^41 + 10 * q^42 + 4 * q^44 - 18 * q^45 - 10 * q^46 + 10 * q^48 - 132 * q^49 - 36 * q^50 + 36 * q^51 + 30 * q^53 + 24 * q^54 - 4 * q^55 - 10 * q^56 + 60 * q^58 + 16 * q^59 + 8 * q^60 + 42 * q^61 - 110 * q^63 + 24 * q^64 + 12 * q^65 - 20 * q^66 + 130 * q^67 - 8 * q^69 + 20 * q^70 - 8 * q^71 - 120 * q^73 - 124 * q^74 - 24 * q^75 + 96 * q^76 - 50 * q^78 + 4 * q^79 - 2 * q^80 - 10 * q^81 - 70 * q^83 + 52 * q^85 - 44 * q^86 - 70 * q^87 + 10 * q^88 - 26 * q^89 + 32 * q^90 - 4 * q^91 - 10 * q^92 + 10 * q^94 + 2 * q^95 - 6 * q^96 - 10 * q^97 - 60 * q^98 - 184 * q^99

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