LMFDB - Embedded newform 950.2.h.b.191.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [950,2,Mod(191,950)]

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([2, 0]))

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

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

chi := DirichletCharacter("950.191");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 950 = 2 \cdot 5^{2} \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	950.h (of order $5$, 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:	$40$
Relative dimension:	$10$ over $\Q(\zeta_{5})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			191.2
Character	$\chi$	$=$	950.191
Dual form			950.2.h.b.761.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.809017 - 0.587785i) q^{2} +(-0.853804 - 2.62774i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-0.950820 + 2.02384i) q^{5} +(-0.853804 + 2.62774i) q^{6} +1.85248 q^{7} +(0.309017 - 0.951057i) q^{8} +(-3.74897 + 2.72379i) q^{9} +O(q^{10})$	\(q+(-0.809017 - 0.587785i) q^{2} +(-0.853804 - 2.62774i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-0.950820 + 2.02384i) q^{5} +(-0.853804 + 2.62774i) q^{6} +1.85248 q^{7} +(0.309017 - 0.951057i) q^{8} +(-3.74897 + 2.72379i) q^{9} +(1.95881 - 1.07845i) q^{10} +(-1.27735 - 0.928051i) q^{11} +(2.23529 - 1.62403i) q^{12} +(4.45841 - 3.23923i) q^{13} +(-1.49869 - 1.08886i) q^{14} +(6.12994 + 0.770542i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(-1.02881 + 3.16634i) q^{17} +4.63399 q^{18} +(0.309017 - 0.951057i) q^{19} +(-2.21861 - 0.278882i) q^{20} +(-1.58166 - 4.86784i) q^{21} +(0.487905 + 1.50162i) q^{22} +(0.609070 + 0.442516i) q^{23} -2.76297 q^{24} +(-3.19188 - 3.84862i) q^{25} -5.51090 q^{26} +(3.65243 + 2.65364i) q^{27} +(0.572449 + 1.76182i) q^{28} +(-2.93583 - 9.03555i) q^{29} +(-4.50631 - 4.22647i) q^{30} +(2.70543 - 8.32645i) q^{31} +1.00000 q^{32} +(-1.34807 + 4.14892i) q^{33} +(2.69345 - 1.95691i) q^{34} +(-1.76138 + 3.74914i) q^{35} +(-3.74897 - 2.72379i) q^{36} +(-2.71533 + 1.97280i) q^{37} +(-0.809017 + 0.587785i) q^{38} +(-12.3184 - 8.94988i) q^{39} +(1.63097 + 1.52969i) q^{40} +(0.353268 - 0.256664i) q^{41} +(-1.58166 + 4.86784i) q^{42} +6.42376 q^{43} +(0.487905 - 1.50162i) q^{44} +(-1.94792 - 10.1772i) q^{45} +(-0.232644 - 0.716005i) q^{46} +(-0.00172618 - 0.00531263i) q^{47} +(2.23529 + 1.62403i) q^{48} -3.56830 q^{49} +(0.320123 + 4.98974i) q^{50} +9.19871 q^{51} +(4.45841 + 3.23923i) q^{52} +(-3.27338 - 10.0744i) q^{53} +(-1.39510 - 4.29369i) q^{54} +(3.09276 - 1.70275i) q^{55} +(0.572449 - 1.76182i) q^{56} -2.76297 q^{57} +(-2.93583 + 9.03555i) q^{58} +(-5.57579 + 4.05105i) q^{59} +(1.16143 + 6.06803i) q^{60} +(-4.46052 - 3.24076i) q^{61} +(-7.08290 + 5.14603i) q^{62} +(-6.94491 + 5.04577i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(2.31654 + 12.1031i) q^{65} +(3.52928 - 2.56417i) q^{66} +(0.181282 - 0.557929i) q^{67} -3.32929 q^{68} +(0.642788 - 1.97830i) q^{69} +(3.62867 - 1.99780i) q^{70} +(2.46952 + 7.60041i) q^{71} +(1.43198 + 4.40718i) q^{72} +(-1.06515 - 0.773875i) q^{73} +3.35633 q^{74} +(-7.38793 + 11.6734i) q^{75} +1.00000 q^{76} +(-2.36627 - 1.71920i) q^{77} +(4.70523 + 14.4812i) q^{78} +(2.43154 + 7.48350i) q^{79} +(-0.420355 - 2.19620i) q^{80} +(-0.441317 + 1.35823i) q^{81} -0.436663 q^{82} +(-1.52125 + 4.68193i) q^{83} +(4.14083 - 3.00849i) q^{84} +(-5.42997 - 5.09276i) q^{85} +(-5.19693 - 3.77579i) q^{86} +(-21.2364 + 15.4292i) q^{87} +(-1.27735 + 0.928051i) q^{88} +(-5.45147 - 3.96072i) q^{89} +(-4.40609 + 9.37846i) q^{90} +(8.25914 - 6.00062i) q^{91} +(-0.232644 + 0.716005i) q^{92} -24.1896 q^{93} +(-0.00172618 + 0.00531263i) q^{94} +(1.63097 + 1.52969i) q^{95} +(-0.853804 - 2.62774i) q^{96} +(-3.13314 - 9.64283i) q^{97} +(2.88682 + 2.09740i) q^{98} +7.31657 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 40 q - 10 q^{2} + 5 q^{3} - 10 q^{4} + 5 q^{6} - 12 q^{7} - 10 q^{8} - 3 q^{9}+O(q^{10}) $ 40 * q - 10 * q^2 + 5 * q^3 - 10 * q^4 + 5 * q^6 - 12 * q^7 - 10 * q^8 - 3 * q^9	\( 40 q - 10 q^{2} + 5 q^{3} - 10 q^{4} + 5 q^{6} - 12 q^{7} - 10 q^{8} - 3 q^{9} - 6 q^{11} + 16 q^{13} - 2 q^{14} + 16 q^{15} - 10 q^{16} - 2 q^{17} + 22 q^{18} - 10 q^{19} - 5 q^{20} + 3 q^{21} + 14 q^{22} + 4 q^{23} - 10 q^{24} - 2 q^{25} - 34 q^{26} + 29 q^{27} + 8 q^{28} + 16 q^{30} + 19 q^{31} + 40 q^{32} - 16 q^{33} + 3 q^{34} - 24 q^{35} - 3 q^{36} + q^{37} - 10 q^{38} - 7 q^{39} + 5 q^{40} + 20 q^{41} + 3 q^{42} - 48 q^{43} + 14 q^{44} + 53 q^{45} + 4 q^{46} + 29 q^{47} + 28 q^{49} + 3 q^{50} - 122 q^{51} + 16 q^{52} - 5 q^{53} - 6 q^{54} + 56 q^{55} + 8 q^{56} - 10 q^{57} + 20 q^{59} - 19 q^{60} + 42 q^{61} - 21 q^{62} + 9 q^{63} - 10 q^{64} + 35 q^{65} + 24 q^{66} - 3 q^{67} - 2 q^{68} - 9 q^{69} - 19 q^{70} + 18 q^{71} - 8 q^{72} + 8 q^{73} - 64 q^{74} + 7 q^{75} + 40 q^{76} + 35 q^{77} - 2 q^{78} + q^{79} + 59 q^{81} - 30 q^{82} + 11 q^{83} - 7 q^{84} - 125 q^{85} + 32 q^{86} - 31 q^{87} - 6 q^{88} - 34 q^{89} - 7 q^{90} + 10 q^{91} + 4 q^{92} + 24 q^{93} + 29 q^{94} + 5 q^{95} + 5 q^{96} + 90 q^{97} - 12 q^{98} + 10 q^{99}+O(q^{100}) \) 40 * q - 10 * q^2 + 5 * q^3 - 10 * q^4 + 5 * q^6 - 12 * q^7 - 10 * q^8 - 3 * q^9 - 6 * q^11 + 16 * q^13 - 2 * q^14 + 16 * q^15 - 10 * q^16 - 2 * q^17 + 22 * q^18 - 10 * q^19 - 5 * q^20 + 3 * q^21 + 14 * q^22 + 4 * q^23 - 10 * q^24 - 2 * q^25 - 34 * q^26 + 29 * q^27 + 8 * q^28 + 16 * q^30 + 19 * q^31 + 40 * q^32 - 16 * q^33 + 3 * q^34 - 24 * q^35 - 3 * q^36 + q^37 - 10 * q^38 - 7 * q^39 + 5 * q^40 + 20 * q^41 + 3 * q^42 - 48 * q^43 + 14 * q^44 + 53 * q^45 + 4 * q^46 + 29 * q^47 + 28 * q^49 + 3 * q^50 - 122 * q^51 + 16 * q^52 - 5 * q^53 - 6 * q^54 + 56 * q^55 + 8 * q^56 - 10 * q^57 + 20 * q^59 - 19 * q^60 + 42 * q^61 - 21 * q^62 + 9 * q^63 - 10 * q^64 + 35 * q^65 + 24 * q^66 - 3 * q^67 - 2 * q^68 - 9 * q^69 - 19 * q^70 + 18 * q^71 - 8 * q^72 + 8 * q^73 - 64 * q^74 + 7 * q^75 + 40 * q^76 + 35 * q^77 - 2 * q^78 + q^79 + 59 * q^81 - 30 * q^82 + 11 * q^83 - 7 * q^84 - 125 * q^85 + 32 * q^86 - 31 * q^87 - 6 * q^88 - 34 * q^89 - 7 * q^90 + 10 * q^91 + 4 * q^92 + 24 * q^93 + 29 * q^94 + 5 * q^95 + 5 * q^96 + 90 * q^97 - 12 * q^98 + 10 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$77$	$401$
$\chi(n)$	$e\left(\frac{1}{5}\right)$	$1$

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 $

$2$	−0.809017	−	0.587785i	−0.572061	−	0.415627i
$2$	−0.809017	−	0.587785i	−0.572061	−	0.415627i
$3$	−0.853804	−	2.62774i	−0.492944	−	1.51713i	−0.820137	−	0.572167i	$-0.806103\pi$
$3$	−0.853804	−	2.62774i	−0.492944	−	1.51713i	0.327193	−	0.944958i	$-0.393897\pi$
$4$	0.309017	+	0.951057i	0.154508	+	0.475528i
$5$	−0.950820	+	2.02384i	−0.425220	+	0.905090i
$5$	−0.950820	+	2.02384i	−0.425220	+	0.905090i
$6$	−0.853804	+	2.62774i	−0.348564	+	1.07277i
$7$	1.85248			0.700173			0.350087	−	0.936717i	$-0.386152\pi$
$7$	1.85248			0.700173			0.350087	+	0.936717i	$0.386152\pi$
$8$	0.309017	−	0.951057i	0.109254	−	0.336249i
$9$	−3.74897	+	2.72379i	−1.24966	+	0.907930i
$10$	1.95881	−	1.07845i	0.619432	−	0.341034i
$11$	−1.27735	−	0.928051i	−0.385136	−	0.279818i	0.378323	−	0.925674i	$-0.376501\pi$
$11$	−1.27735	−	0.928051i	−0.385136	−	0.279818i	−0.763460	+	0.645856i	$0.776501\pi$
$12$	2.23529	−	1.62403i	0.645272	−	0.468817i
$13$	4.45841	−	3.23923i	1.23654	−	0.898400i	0.239179	−	0.970976i	$-0.423122\pi$
$13$	4.45841	−	3.23923i	1.23654	−	0.898400i	0.997363	+	0.0725756i	$0.0231219\pi$
$14$	−1.49869	−	1.08886i	−0.400542	−	0.291011i
$15$	6.12994	+	0.770542i	1.58274	+	0.198953i
$16$	−0.809017	+	0.587785i	−0.202254	+	0.146946i
$17$	−1.02881	+	3.16634i	−0.249522	+	0.767951i	0.745337	+	0.666687i	$0.232288\pi$
$17$	−1.02881	+	3.16634i	−0.249522	+	0.767951i	−0.994860	+	0.101263i	$0.967712\pi$
$18$	4.63399			1.09224
$19$	0.309017	−	0.951057i	0.0708934	−	0.218187i
$19$	0.309017	−	0.951057i	0.0708934	−	0.218187i
$20$	−2.21861	−	0.278882i	−0.496096	−	0.0623599i
$21$	−1.58166	−	4.86784i	−0.345146	−	1.06225i
$22$	0.487905	+	1.50162i	0.104022	+	0.320146i
$23$	0.609070	+	0.442516i	0.127000	+	0.0922709i	0.649472	−	0.760386i	$-0.274990\pi$
$23$	0.609070	+	0.442516i	0.127000	+	0.0922709i	−0.522472	+	0.852657i	$0.674990\pi$
$24$	−2.76297			−0.563988
$25$	−3.19188	−	3.84862i	−0.638376	−	0.769724i
$26$	−5.51090			−1.08078
$27$	3.65243	+	2.65364i	0.702910	+	0.510694i
$28$	0.572449	+	1.76182i	0.108183	+	0.332952i
$29$	−2.93583	−	9.03555i	−0.545169	−	1.67786i	−0.720587	−	0.693365i	$-0.756128\pi$
$29$	−2.93583	−	9.03555i	−0.545169	−	1.67786i	0.175417	−	0.984494i	$-0.443872\pi$
$30$	−4.50631	−	4.22647i	−0.822737	−	0.771645i
$31$	2.70543	−	8.32645i	0.485909	−	1.49547i	−0.344751	−	0.938694i	$-0.612037\pi$
$31$	2.70543	−	8.32645i	0.485909	−	1.49547i	0.830660	−	0.556780i	$-0.187963\pi$
$32$	1.00000			0.176777
$33$	−1.34807	+	4.14892i	−0.234668	+	0.722234i
$34$	2.69345	−	1.95691i	0.461923	−	0.335607i
$35$	−1.76138	+	3.74914i	−0.297727	+	0.633720i
$36$	−3.74897	−	2.72379i	−0.624829	−	0.453965i
$37$	−2.71533	+	1.97280i	−0.446398	+	0.324327i	−0.788172	−	0.615455i	$-0.788972\pi$
$37$	−2.71533	+	1.97280i	−0.446398	+	0.324327i	0.341774	+	0.939782i	$0.388972\pi$
$38$	−0.809017	+	0.587785i	−0.131240	+	0.0953514i
$39$	−12.3184	−	8.94988i	−1.97253	−	1.43313i
$40$	1.63097	+	1.52969i	0.257879	+	0.241865i
$41$	0.353268	−	0.256664i	0.0551711	−	0.0400842i	−0.559858	−	0.828589i	$-0.689144\pi$
$41$	0.353268	−	0.256664i	0.0551711	−	0.0400842i	0.615029	+	0.788504i	$0.289144\pi$
$42$	−1.58166	+	4.86784i	−0.244055	+	0.751124i
$43$	6.42376			0.979615			0.489807	−	0.871831i	$-0.337067\pi$
$43$	6.42376			0.979615			0.489807	+	0.871831i	$0.337067\pi$
$44$	0.487905	−	1.50162i	0.0735545	−	0.226377i
$45$	−1.94792	−	10.1772i	−0.290379	−	1.51712i
$46$	−0.232644	−	0.716005i	−0.0343015	−	0.105569i
$47$	−0.00172618	−	0.00531263i	−0.000251789	−	0.000774927i	0.950931	−	0.309404i	$-0.100130\pi$
$47$	−0.00172618	−	0.00531263i	−0.000251789	−	0.000774927i	−0.951182	+	0.308630i	$0.900130\pi$
$48$	2.23529	+	1.62403i	0.322636	+	0.234409i
$49$	−3.56830			−0.509758
$50$	0.320123	+	4.98974i	0.0452722	+	0.705656i
$51$	9.19871			1.28808
$52$	4.45841	+	3.23923i	0.618271	+	0.449200i
$53$	−3.27338	−	10.0744i	−0.449633	−	1.38383i	−0.877322	−	0.479902i	$-0.840672\pi$
$53$	−3.27338	−	10.0744i	−0.449633	−	1.38383i	0.427689	−	0.903926i	$-0.359328\pi$
$54$	−1.39510	−	4.29369i	−0.189849	−	0.584297i
$55$	3.09276	−	1.70275i	0.417028	−	0.229599i
$56$	0.572449	−	1.76182i	0.0764967	−	0.235433i
$57$	−2.76297			−0.365964
$58$	−2.93583	+	9.03555i	−0.385493	+	1.18643i
$59$	−5.57579	+	4.05105i	−0.725906	+	0.527402i	−0.888266	−	0.459330i	$-0.848090\pi$
$59$	−5.57579	+	4.05105i	−0.725906	+	0.527402i	0.162360	+	0.986732i	$0.448090\pi$
$60$	1.16143	+	6.06803i	0.149940	+	0.783380i
$61$	−4.46052	−	3.24076i	−0.571111	−	0.414937i	0.264398	−	0.964414i	$-0.414827\pi$
$61$	−4.46052	−	3.24076i	−0.571111	−	0.414937i	−0.835509	+	0.549477i	$0.814827\pi$
$62$	−7.08290	+	5.14603i	−0.899529	+	0.653546i
$63$	−6.94491	+	5.04577i	−0.874977	+	0.635708i
$64$	−0.809017	−	0.587785i	−0.101127	−	0.0734732i
$65$	2.31654	+	12.1031i	0.287331	+	1.50120i
$66$	3.52928	−	2.56417i	0.434425	−	0.315628i
$67$	0.181282	−	0.557929i	0.0221471	−	0.0681618i	−0.939372	−	0.342899i	$-0.888591\pi$
$67$	0.181282	−	0.557929i	0.0221471	−	0.0681618i	0.961519	+	0.274738i	$0.0885910\pi$
$68$	−3.32929			−0.403735
$69$	0.642788	−	1.97830i	0.0773826	−	0.238159i
$70$	3.62867	−	1.99780i	0.433709	−	0.238783i
$71$	2.46952	+	7.60041i	0.293078	+	0.902002i	0.983860	+	0.178939i	$0.0572665\pi$
$71$	2.46952	+	7.60041i	0.293078	+	0.902002i	−0.690782	+	0.723063i	$0.742733\pi$
$72$	1.43198	+	4.40718i	0.168761	+	0.519391i
$73$	−1.06515	−	0.773875i	−0.124666	−	0.0905753i	0.523705	−	0.851900i	$-0.324549\pi$
$73$	−1.06515	−	0.773875i	−0.124666	−	0.0905753i	−0.648371	+	0.761324i	$0.724549\pi$
$74$	3.35633			0.390166
$75$	−7.38793	+	11.6734i	−0.853085	+	1.34793i
$76$	1.00000			0.114708
$77$	−2.36627	−	1.71920i	−0.269662	−	0.195921i
$78$	4.70523	+	14.4812i	0.532762	+	1.63967i
$79$	2.43154	+	7.48350i	0.273569	+	0.841959i	0.989594	+	0.143885i	$0.0459595\pi$
$79$	2.43154	+	7.48350i	0.273569	+	0.841959i	−0.716025	+	0.698074i	$0.754041\pi$
$80$	−0.420355	−	2.19620i	−0.0469971	−	0.245543i
$81$	−0.441317	+	1.35823i	−0.0490353	+	0.150915i
$82$	−0.436663			−0.0482213
$83$	−1.52125	+	4.68193i	−0.166979	+	0.513908i	−0.999177	−	0.0405706i	$-0.987082\pi$
$83$	−1.52125	+	4.68193i	−0.166979	+	0.513908i	0.832198	+	0.554479i	$0.187082\pi$
$84$	4.14083	−	3.00849i	0.451802	−	0.328253i
$85$	−5.42997	−	5.09276i	−0.588963	−	0.552388i
$86$	−5.19693	−	3.77579i	−0.560400	−	0.407154i
$87$	−21.2364	+	15.4292i	−2.27678	+	1.65418i
$88$	−1.27735	+	0.928051i	−0.136166	+	0.0989305i
$89$	−5.45147	−	3.96072i	−0.577854	−	0.419836i	0.260096	−	0.965583i	$-0.416246\pi$
$89$	−5.45147	−	3.96072i	−0.577854	−	0.419836i	−0.837950	+	0.545747i	$0.816246\pi$
$90$	−4.40609	+	9.37846i	−0.464442	+	0.988576i
$91$	8.25914	−	6.00062i	0.865793	−	0.629036i
$92$	−0.232644	+	0.716005i	−0.0242548	+	0.0746487i
$93$	−24.1896			−2.50835
$94$	−0.00172618	+	0.00531263i	−0.000178042	+	0.000547956i
$95$	1.63097	+	1.52969i	0.167334	+	0.156942i
$96$	−0.853804	−	2.62774i	−0.0871410	−	0.268192i
$97$	−3.13314	−	9.64283i	−0.318123	−	0.979081i	−0.974450	−	0.224604i	$-0.927891\pi$
$97$	−3.13314	−	9.64283i	−0.318123	−	0.979081i	0.656327	−	0.754476i	$-0.272109\pi$
$98$	2.88682	+	2.09740i	0.291613	+	0.211869i
$99$	7.31657			0.735343
$100$	2.67391	−	4.22495i	0.267391	−	0.422495i
$101$	−10.0735			−1.00235			−0.501173	−	0.865347i	$-0.667098\pi$
$101$	−10.0735			−1.00235			−0.501173	+	0.865347i	$0.667098\pi$
$102$	−7.44191	−	5.40687i	−0.736859	−	0.535360i
$103$	−3.58944	−	11.0472i	−0.353678	−	1.08851i	−0.956772	−	0.290838i	$-0.906066\pi$
$103$	−3.58944	−	11.0472i	−0.353678	−	1.08851i	0.603094	−	0.797670i	$-0.293934\pi$
$104$	−1.70296	−	5.24118i	−0.166989	−	0.513940i
$105$	11.3556	+	1.42742i	1.10820	+	0.139302i
$106$	−3.27338	+	10.0744i	−0.317939	+	0.978514i
$107$	14.8537			1.43596			0.717979	−	0.696065i	$-0.245067\pi$
$107$	14.8537			1.43596			0.717979	+	0.696065i	$0.245067\pi$
$108$	−1.39510	+	4.29369i	−0.134244	+	0.413160i
$109$	1.98243	−	1.44032i	0.189883	−	0.137958i	−0.488782	−	0.872406i	$-0.662559\pi$
$109$	1.98243	−	1.44032i	0.189883	−	0.137958i	0.678665	+	0.734448i	$0.262559\pi$
$110$	−3.50295	−	0.440325i	−0.333993	−	0.0419834i
$111$	7.50237	+	5.45079i	0.712093	+	0.517366i
$112$	−1.49869	+	1.08886i	−0.141613	+	0.102888i
$113$	0.916985	−	0.666229i	0.0862627	−	0.0626735i	−0.543818	−	0.839203i	$-0.683022\pi$
$113$	0.916985	−	0.666229i	0.0862627	−	0.0626735i	0.630081	+	0.776530i	$0.283022\pi$
$114$	2.23529	+	1.62403i	0.209354	+	0.152104i
$115$	−1.47470	+	0.811910i	−0.137516	+	0.0757110i
$116$	7.68609	−	5.58427i	0.713636	−	0.518487i
$117$	−7.89150	+	24.2876i	−0.729570	+	2.24539i
$118$	6.89206			0.634465
$119$	−1.90585	+	5.86560i	−0.174709	+	0.537698i
$120$	2.62709	−	5.59181i	0.239819	−	0.510460i
$121$	−2.62884	−	8.09073i	−0.238985	−	0.735521i
$122$	1.70377	+	5.24366i	0.154252	+	0.474738i
$123$	−0.976067	−	0.709154i	−0.0880090	−	0.0639423i
$124$	8.75495			0.786217
$125$	10.8239	−	2.80052i	0.968120	−	0.250486i
$126$	8.58438			0.764758
$127$	7.33377	+	5.32830i	0.650767	+	0.472810i	0.863532	−	0.504293i	$-0.168247\pi$
$127$	7.33377	+	5.32830i	0.650767	+	0.472810i	−0.212765	+	0.977103i	$0.568247\pi$
$128$	0.309017	+	0.951057i	0.0273135	+	0.0840623i
$129$	−5.48463	−	16.8800i	−0.482895	−	1.48620i
$130$	5.23988	−	11.1532i	0.459568	−	0.978200i
$131$	4.40500	−	13.5572i	0.384867	−	1.18450i	−0.551710	−	0.834036i	$-0.686024\pi$
$131$	4.40500	−	13.5572i	0.384867	−	1.18450i	0.936577	−	0.350463i	$-0.113976\pi$
$132$	−4.36243			−0.379701
$133$	0.572449	−	1.76182i	0.0496376	−	0.152769i
$134$	−0.474602	+	0.344819i	−0.0409994	+	0.0297878i
$135$	−8.84336	+	4.86880i	−0.761115	+	0.419040i
$136$	2.69345	+	1.95691i	0.230961	+	0.167803i
$137$	−2.96245	+	2.15235i	−0.253099	+	0.183887i	−0.707099	−	0.707114i	$-0.749997\pi$
$137$	−2.96245	+	2.15235i	−0.253099	+	0.183887i	0.454000	+	0.891002i	$0.349997\pi$
$138$	−1.68284	+	1.22266i	−0.143253	+	0.104079i
$139$	−9.38452	−	6.81825i	−0.795984	−	0.578317i	0.113749	−	0.993510i	$-0.463714\pi$
$139$	−9.38452	−	6.81825i	−0.795984	−	0.578317i	−0.909733	+	0.415193i	$0.863714\pi$
$140$	−4.10994	−	0.516624i	−0.347353	−	0.0436627i
$141$	−0.0124864	+	0.00907189i	−0.00105154	+	0.000763991i
$142$	2.46952	−	7.60041i	0.207238	−	0.637812i
$143$	−8.70113			−0.727625
$144$	1.43198	−	4.40718i	0.119332	−	0.367265i
$145$	21.0780	+	2.64953i	1.75043	+	0.220031i
$146$	0.406850	+	1.25216i	0.0336712	+	0.103629i
$147$	3.04663	+	9.37656i	0.251282	+	0.773366i
$148$	−2.71533	−	1.97280i	−0.223199	−	0.162163i
$149$	20.8182			1.70550			0.852748	−	0.522323i	$-0.174934\pi$
$149$	20.8182			1.70550			0.852748	+	0.522323i	$0.174934\pi$
$150$	12.8384	−	5.10146i	1.04825	−	0.416532i
$151$	−13.9087			−1.13187			−0.565936	−	0.824449i	$-0.691485\pi$
$151$	−13.9087			−1.13187			−0.565936	+	0.824449i	$0.691485\pi$
$152$	−0.809017	−	0.587785i	−0.0656199	−	0.0476757i
$153$	−4.76748	−	14.6728i	−0.385428	−	1.18622i
$154$	0.903837	+	2.78172i	0.0728332	+	0.224158i
$155$	14.2790	+	13.3923i	1.14692	+	1.07570i
$156$	4.70523	−	14.4812i	0.376720	−	1.15942i
$157$	22.3161			1.78102			0.890511	−	0.454963i	$-0.150347\pi$
$157$	22.3161			1.78102			0.890511	+	0.454963i	$0.150347\pi$
$158$	2.43154	−	7.48350i	0.193443	−	0.595355i
$159$	−23.6781	+	17.2032i	−1.87780	+	1.36430i
$160$	−0.950820	+	2.02384i	−0.0751690	+	0.159999i
$161$	1.12829	+	0.819753i	0.0889220	+	0.0646056i
$162$	1.15538	−	0.839435i	0.0907755	−	0.0659523i
$163$	9.10011	−	6.61162i	0.712776	−	0.517862i	−0.171292	−	0.985220i	$-0.554794\pi$
$163$	9.10011	−	6.61162i	0.712776	−	0.517862i	0.884068	+	0.467358i	$0.154794\pi$
$164$	0.353268	+	0.256664i	0.0275856	+	0.0200421i
$165$	−7.11499	−	6.67315i	−0.553902	−	0.519504i
$166$	3.98269	−	2.89359i	0.309116	−	0.224586i
$167$	−0.898032	+	2.76386i	−0.0694918	+	0.213874i	−0.979771	−	0.200120i	$-0.935867\pi$
$167$	−0.898032	+	2.76386i	−0.0694918	+	0.213874i	0.910279	+	0.413994i	$0.135867\pi$
$168$	−5.11835			−0.394889
$169$	5.36764	−	16.5199i	0.412895	−	1.27076i
$170$	1.39948	+	7.31179i	0.107336	+	0.560789i
$171$	1.43198	+	4.40718i	0.109506	+	0.337026i
$172$	1.98505	+	6.10936i	0.151359	+	0.465834i
$173$	−14.5637	−	10.5812i	−1.10726	−	0.804472i	−0.125030	−	0.992153i	$-0.539903\pi$
$173$	−14.5637	−	10.5812i	−1.10726	−	0.804472i	−0.982230	+	0.187681i	$0.939903\pi$
$174$	26.2497			1.98998
$175$	−5.91291	−	7.12951i	−0.446974	−	0.538940i
$176$	1.57889			0.119014
$177$	15.4057	+	11.1929i	1.15797	+	0.841311i
$178$	2.08228	+	6.40858i	0.156073	+	0.480344i
$179$	−6.24451	−	19.2186i	−0.466736	−	1.43647i	−0.856786	−	0.515673i	$-0.827542\pi$
$179$	−6.24451	−	19.2186i	−0.466736	−	1.43647i	0.390049	−	0.920794i	$-0.372458\pi$
$180$	9.07712	−	4.99750i	0.676569	−	0.372492i
$181$	−3.94037	+	12.1272i	−0.292886	+	0.901410i	0.691038	+	0.722819i	$0.257154\pi$
$181$	−3.94037	+	12.1272i	−0.292886	+	0.901410i	−0.983923	+	0.178591i	$0.942846\pi$
$182$	−10.2089			−0.756731
$183$	−4.70745	+	14.4880i	−0.347985	+	1.07099i
$184$	0.609070	−	0.442516i	0.0449013	−	0.0326227i
$185$	−1.41085	−	7.37119i	−0.103728	−	0.541940i
$186$	19.5698	+	14.2183i	1.43493	+	1.04254i
$187$	4.25267	−	3.08975i	0.310986	−	0.225945i
$188$	0.00451919	−	0.00328339i	0.000329596	−	0.000239466i
$189$	6.76606	+	4.91583i	0.492159	+	0.357574i
$190$	−0.420355	−	2.19620i	−0.0304958	−	0.159329i
$191$	15.9982	−	11.6234i	1.15759	−	0.841039i	0.168120	−	0.985767i	$-0.446230\pi$
$191$	15.9982	−	11.6234i	1.15759	−	0.841039i	0.989472	+	0.144727i	$0.0462305\pi$
$192$	−0.853804	+	2.62774i	−0.0616180	+	0.189641i
$193$	−20.9228			−1.50606			−0.753029	−	0.657987i	$-0.771408\pi$
$193$	−20.9228			−1.50606			−0.753029	+	0.657987i	$0.771408\pi$
$194$	−3.13314	+	9.64283i	−0.224947	+	0.692315i
$195$	29.8258	−	16.4209i	2.13587	−	1.17592i
$196$	−1.10267	−	3.39366i	−0.0787619	−	0.242404i
$197$	−3.44438	−	10.6007i	−0.245402	−	0.755269i	−0.995570	−	0.0940220i	$-0.970028\pi$
$197$	−3.44438	−	10.6007i	−0.245402	−	0.755269i	0.750168	−	0.661247i	$-0.229972\pi$
$198$	−5.91923	−	4.30057i	−0.420662	−	0.305629i
$199$	−2.66575			−0.188970			−0.0944850	−	0.995526i	$-0.530120\pi$
$199$	−2.66575			−0.188970			−0.0944850	+	0.995526i	$0.530120\pi$
$200$	−4.64660	+	1.84637i	−0.328564	+	0.130558i
$201$	−1.62087			−0.114327
$202$	8.14960	+	5.92103i	0.573404	+	0.416602i
$203$	−5.43857	−	16.7382i	−0.381713	−	1.17479i
$204$	2.84256	+	8.74850i	0.199019	+	0.612517i
$205$	0.183553	+	0.958999i	0.0128199	+	0.0669794i
$206$	−3.58944	+	11.0472i	−0.250088	+	0.769692i
$207$	−3.48871			−0.242482
$208$	−1.70296	+	5.24118i	−0.118079	+	0.363410i
$209$	−1.27735	+	0.928051i	−0.0883563	+	0.0641946i
$210$	−8.34788	−	7.82947i	−0.576058	−	0.540285i
$211$	−8.34918	−	6.06603i	−0.574781	−	0.417603i	0.262058	−	0.965052i	$-0.415599\pi$
$211$	−8.34918	−	6.06603i	−0.574781	−	0.417603i	−0.836839	+	0.547449i	$0.815599\pi$
$212$	8.56981	−	6.22633i	0.588577	−	0.427626i
$213$	17.8634	−	12.9785i	1.22398	−	0.889273i
$214$	−12.0169	−	8.73076i	−0.821456	−	0.596823i
$215$	−6.10784	+	13.0007i	−0.416552	+	0.886640i
$216$	3.65243	−	2.65364i	0.248516	−	0.180558i
$217$	5.01176	−	15.4246i	0.340220	−	1.04709i
$218$	−2.45042			−0.165963
$219$	−1.12411	+	3.45967i	−0.0759606	+	0.233783i
$220$	2.57513	+	2.41521i	0.173615	+	0.162834i
$221$	5.66965	+	17.4494i	0.381382	+	1.17377i
$222$	−2.86565	−	8.81957i	−0.192330	−	0.591930i
$223$	10.6286	+	7.72210i	0.711741	+	0.517110i	0.883735	−	0.467988i	$-0.155021\pi$
$223$	10.6286	+	7.72210i	0.711741	+	0.517110i	−0.171994	+	0.985098i	$0.555021\pi$
$224$	1.85248			0.123774
$225$	22.4491	+	5.73437i	1.49661	+	0.382292i
$226$	−1.13346			−0.0753964
$227$	−0.871786	−	0.633390i	−0.0578625	−	0.0420395i	0.558478	−	0.829519i	$-0.311385\pi$
$227$	−0.871786	−	0.633390i	−0.0578625	−	0.0420395i	−0.616341	+	0.787480i	$0.711385\pi$
$228$	−0.853804	−	2.62774i	−0.0565445	−	0.174026i
$229$	−9.01220	−	27.7367i	−0.595543	−	1.83289i	−0.552005	−	0.833841i	$-0.686137\pi$
$229$	−9.01220	−	27.7367i	−0.595543	−	1.83289i	−0.0435383	−	0.999052i	$-0.513863\pi$
$230$	1.67029	+	0.209957i	0.110135	+	0.0138442i
$231$	−2.49727	+	7.68581i	−0.164308	+	0.505689i
$232$	−9.50054			−0.623741
$233$	−8.24268	+	25.3684i	−0.539996	+	1.66194i	0.192604	+	0.981277i	$0.438307\pi$
$233$	−8.24268	+	25.3684i	−0.539996	+	1.66194i	−0.732600	+	0.680660i	$0.761693\pi$
$234$	20.6602	−	15.0105i	1.35060	−	0.981269i
$235$	0.0123932	+	0.00155784i	0.000808445	+	0.000101623i
$236$	−5.57579	−	4.05105i	−0.362953	−	0.263701i
$237$	17.5886	−	12.7789i	1.14250	−	0.830077i
$238$	4.98957	−	3.62514i	0.323426	−	0.234983i
$239$	−16.9481	−	12.3135i	−1.09628	−	0.796494i	−0.115831	−	0.993269i	$-0.536953\pi$
$239$	−16.9481	−	12.3135i	−1.09628	−	0.796494i	−0.980449	+	0.196775i	$0.936953\pi$
$240$	−5.41214	+	2.97971i	−0.349352	+	0.192339i
$241$	−1.57112	+	1.14149i	−0.101205	+	0.0735297i	−0.637237	−	0.770668i	$-0.719923\pi$
$241$	−1.57112	+	1.14149i	−0.101205	+	0.0735297i	0.536032	+	0.844198i	$0.319923\pi$
$242$	−2.62884	+	8.09073i	−0.168988	+	0.520092i
$243$	17.4898			1.12197
$244$	1.70377	−	5.24366i	0.109073	−	0.335691i
$245$	3.39282	−	7.22169i	0.216759	−	0.461377i
$246$	0.372824	+	1.14744i	0.0237704	+	0.0731578i
$247$	−1.70296	−	5.24118i	−0.108357	−	0.333488i
$248$	−7.08290	−	5.14603i	−0.449765	−	0.326773i
$249$	13.6017			0.861975
$250$	−10.4028	−	4.09647i	−0.657933	−	0.259083i
$251$	13.4887			0.851400			0.425700	−	0.904864i	$-0.360028\pi$
$251$	13.4887			0.851400			0.425700	+	0.904864i	$0.360028\pi$
$252$	−6.94491	−	5.04577i	−0.437488	−	0.317854i
$253$	−0.367321	−	1.13050i	−0.0230933	−	0.0710737i
$254$	−2.80125	−	8.62136i	−0.175766	−	0.540953i
$255$	−8.74632	+	18.6168i	−0.547716	+	1.16583i
$256$	0.309017	−	0.951057i	0.0193136	−	0.0594410i
$257$	10.8143			0.674576			0.337288	−	0.941402i	$-0.390490\pi$
$257$	10.8143			0.674576			0.337288	+	0.941402i	$0.390490\pi$
$258$	−5.48463	+	16.8800i	−0.341458	+	1.05090i
$259$	−5.03011	+	3.65459i	−0.312556	+	0.227085i
$260$	−10.7948	+	5.94321i	−0.669467	+	0.368582i
$261$	35.6173	+	25.8775i	2.20465	+	1.60177i
$262$	−11.5325	+	8.37882i	−0.712477	+	0.517645i
$263$	2.75268	−	1.99994i	0.169737	−	0.123321i	−0.499673	−	0.866214i	$-0.666547\pi$
$263$	2.75268	−	1.99994i	0.169737	−	0.123321i	0.669411	+	0.742892i	$0.266547\pi$
$264$	3.52928	+	2.56417i	0.217212	+	0.157814i
$265$	23.5014	+	2.95416i	1.44368	+	0.181473i
$266$	−1.49869	+	1.08886i	−0.0918906	+	0.0667625i
$267$	−5.75326	+	17.7067i	−0.352094	+	1.08363i
$268$	0.586641			0.0358348
$269$	−3.81266	+	11.7342i	−0.232462	+	0.715445i	0.764986	+	0.644047i	$0.222746\pi$
$269$	−3.81266	+	11.7342i	−0.232462	+	0.715445i	−0.997448	+	0.0713979i	$0.977254\pi$
$270$	10.0162	+	1.25905i	0.609569	+	0.0766236i
$271$	8.28468	+	25.4976i	0.503259	+	1.54887i	0.803679	+	0.595063i	$0.202873\pi$
$271$	8.28468	+	25.4976i	0.503259	+	1.54887i	−0.300420	+	0.953807i	$0.597127\pi$
$272$	−1.02881	−	3.16634i	−0.0623806	−	0.191988i
$273$	−22.8197	−	16.5795i	−1.38111	−	1.00344i
$274$	3.66179			0.221217
$275$	0.505440	+	7.87827i	0.0304792	+	0.475078i
$276$	2.08011			0.125208
$277$	19.9126	+	14.4674i	1.19643	+	0.869261i	0.993929	−	0.110021i	$-0.0350917\pi$
$277$	19.9126	+	14.4674i	1.19643	+	0.869261i	0.202505	+	0.979281i	$0.435092\pi$
$278$	3.58457	+	11.0322i	0.214988	+	0.661665i
$279$	12.5369	+	38.5846i	0.750565	+	2.31000i
$280$	3.02134	+	2.83372i	0.180560	+	0.169347i
$281$	−6.54158	+	20.1329i	−0.390238	+	1.20103i	0.542371	+	0.840139i	$0.317527\pi$
$281$	−6.54158	+	20.1329i	−0.390238	+	1.20103i	−0.932609	+	0.360889i	$0.882473\pi$
$282$	0.0154340			0.000919083
$283$	−7.77512	+	23.9294i	−0.462183	+	1.42245i	0.400308	+	0.916380i	$0.368903\pi$
$283$	−7.77512	+	23.9294i	−0.462183	+	1.42245i	−0.862491	+	0.506072i	$0.831097\pi$
$284$	−6.46529	+	4.69731i	−0.383645	+	0.278734i
$285$	2.62709	−	5.59181i	0.155615	−	0.331230i
$286$	7.03936	+	5.11440i	0.416246	+	0.302421i
$287$	0.654423	−	0.475466i	0.0386293	−	0.0280659i
$288$	−3.74897	+	2.72379i	−0.220910	+	0.160501i
$289$	4.78602	+	3.47724i	0.281530	+	0.204544i
$290$	−15.4951	−	14.5328i	−0.909903	−	0.853397i
$291$	−22.6637	+	16.4662i	−1.32857	+	0.965263i
$292$	0.406850	−	1.25216i	0.0238091	−	0.0732769i
$293$	8.05396			0.470517			0.235259	−	0.971933i	$-0.424406\pi$
$293$	8.05396			0.470517			0.235259	+	0.971933i	$0.424406\pi$
$294$	3.04663	−	9.37656i	0.177683	−	0.546852i
$295$	−2.89711	−	15.1363i	−0.168676	−	0.881272i
$296$	1.03716	+	3.19206i	0.0602839	+	0.185535i
$297$	−2.20272	−	6.77928i	−0.127815	−	0.393374i
$298$	−16.8423	−	12.2366i	−0.975648	−	0.708850i
$299$	4.14890			0.239937
$300$	−13.3851	−	3.41906i	−0.772786	−	0.197400i
$301$	11.8999			0.685900
$302$	11.2523	+	8.17531i	0.647500	+	0.470436i
$303$	8.60076	+	26.4704i	0.494100	+	1.52068i
$304$	0.309017	+	0.951057i	0.0177233	+	0.0545468i
$305$	10.7999	−	5.94601i	0.618403	−	0.340468i
$306$	−4.76748	+	14.6728i	−0.272538	+	0.838787i
$307$	24.6800			1.40856			0.704282	−	0.709920i	$-0.251269\pi$
$307$	24.6800			1.40856			0.704282	+	0.709920i	$0.251269\pi$
$308$	0.903837	−	2.78172i	0.0515009	−	0.158503i
$309$	−25.9643	+	18.8642i	−1.47706	+	1.07315i
$310$	−3.68019	−	19.2276i	−0.209021	−	1.09206i
$311$	9.78831	+	7.11163i	0.555044	+	0.403263i	0.829642	−	0.558296i	$-0.188545\pi$
$311$	9.78831	+	7.11163i	0.555044	+	0.403263i	−0.274598	+	0.961559i	$0.588545\pi$
$312$	−12.3184	+	8.94988i	−0.697395	+	0.506687i
$313$	19.9432	−	14.4896i	1.12726	−	0.819002i	0.141965	−	0.989872i	$-0.454658\pi$
$313$	19.9432	−	14.4896i	1.12726	−	0.819002i	0.985294	+	0.170870i	$0.0546578\pi$
$314$	−18.0541	−	13.1171i	−1.01885	−	0.740240i
$315$	−3.60849	−	18.8530i	−0.203315	−	1.06225i
$316$	−6.36584	+	4.62506i	−0.358107	+	0.260180i
$317$	−3.81356	+	11.7369i	−0.214191	+	0.659213i	0.785019	+	0.619472i	$0.212653\pi$
$317$	−3.81356	+	11.7369i	−0.214191	+	0.659213i	−0.999210	+	0.0397407i	$0.987347\pi$
$318$	29.2678			1.64125
$319$	−4.63536	+	14.2662i	−0.259530	+	0.798752i
$320$	1.95881	−	1.07845i	0.109501	−	0.0602869i
$321$	−12.6821	−	39.0315i	−0.707847	−	2.17853i
$322$	−0.430970	−	1.32639i	−0.0240170	−	0.0739167i
$323$	2.69345	+	1.95691i	0.149868	+	0.108885i
$324$	−1.42813			−0.0793407
$325$	−26.6973	−	6.81952i	−1.48090	−	0.378279i
$326$	−11.2484			−0.622989
$327$	−5.47739	−	3.97956i	−0.302901	−	0.220070i
$328$	−0.134936	−	0.415291i	−0.00745061	−	0.0229306i
$329$	−0.00319772	−	0.00984157i	−0.000176296	−	0.000542583i
$330$	1.83377	+	9.58078i	0.100946	+	0.527405i
$331$	−1.67755	+	5.16298i	−0.0922066	+	0.283783i	−0.986516	−	0.163667i	$-0.947668\pi$
$331$	−1.67755	+	5.16298i	−0.0922066	+	0.283783i	0.894309	+	0.447450i	$0.147668\pi$
$332$	−4.92287			−0.270178
$333$	4.80620	−	14.7920i	0.263378	−	0.810595i
$334$	2.35108	−	1.70816i	0.128645	−	0.0934663i
$335$	0.956793	+	0.897376i	0.0522752	+	0.0490289i
$336$	4.14083	+	3.00849i	0.225901	+	0.164127i
$337$	21.6220	−	15.7093i	1.17783	−	0.855740i	0.185901	−	0.982569i	$-0.440480\pi$
$337$	21.6220	−	15.7093i	1.17783	−	0.855740i	0.991925	+	0.126828i	$0.0404797\pi$
$338$	−14.0527	+	10.2099i	−0.764364	+	0.555343i
$339$	−2.53360	−	1.84077i	−0.137606	−	0.0999768i
$340$	3.16555	−	6.73796i	0.171676	−	0.365417i
$341$	−11.1832	+	8.12503i	−0.605602	+	0.439995i
$342$	1.43198	−	4.40718i	0.0774326	−	0.238313i
$343$	−19.5776			−1.05709
$344$	1.98505	−	6.10936i	0.107027	−	0.329395i
$345$	3.39259	+	3.18191i	0.182651	+	0.171308i
$346$	5.56285	+	17.1207i	0.299061	+	0.920414i
$347$	1.85134	+	5.69783i	0.0993851	+	0.305876i	0.988372	−	0.152057i	$-0.0485899\pi$
$347$	1.85134	+	5.69783i	0.0993851	+	0.305876i	−0.888987	+	0.457933i	$0.848590\pi$
$348$	−21.2364	−	15.4292i	−1.13839	−	0.827090i
$349$	30.2449			1.61897			0.809485	−	0.587140i	$-0.199746\pi$
$349$	30.2449			1.61897			0.809485	+	0.587140i	$0.199746\pi$
$350$	0.593022	+	9.24342i	0.0316984	+	0.494081i
$351$	24.8798			1.32798
$352$	−1.27735	−	0.928051i	−0.0680831	−	0.0494653i
$353$	8.77321	+	27.0012i	0.466951	+	1.43713i	0.856512	+	0.516126i	$0.172627\pi$
$353$	8.77321	+	27.0012i	0.466951	+	1.43713i	−0.389562	+	0.921000i	$0.627373\pi$
$354$	−5.88446	−	18.1105i	−0.312756	−	0.962563i
$355$	−17.7301	−	2.22870i	−0.941016	−	0.118287i
$356$	2.08228	−	6.40858i	0.110360	−	0.339654i
$357$	17.0405			0.901877
$358$	−6.24451	+	19.2186i	−0.330032	+	1.01574i
$359$	−5.66183	+	4.11356i	−0.298820	+	0.217105i	−0.727084	−	0.686548i	$-0.759125\pi$
$359$	−5.66183	+	4.11356i	−0.298820	+	0.217105i	0.428265	+	0.903653i	$0.359125\pi$
$360$	−10.2810	−	1.29234i	−0.541856	−	0.0681121i
$361$	−0.809017	−	0.587785i	−0.0425798	−	0.0309361i
$362$	10.3160	−	7.49504i	0.542199	−	0.393930i
$363$	−19.0158	+	13.8158i	−0.998070	+	0.725141i
$364$	8.25914	+	6.00062i	0.432897	+	0.314518i
$365$	2.57897	−	1.41988i	0.134989	−	0.0743197i
$366$	12.3243	−	8.95411i	0.644200	−	0.468039i
$367$	7.32430	−	22.5419i	0.382325	−	1.17668i	−0.556076	−	0.831131i	$-0.687694\pi$
$367$	7.32430	−	22.5419i	0.382325	−	1.17668i	0.938402	−	0.345546i	$-0.112306\pi$
$368$	−0.752853			−0.0392452
$369$	−0.625293	+	1.92445i	−0.0325514	+	0.100183i
$370$	−3.19127	+	6.79269i	−0.165906	+	0.353135i
$371$	−6.06388	−	18.6627i	−0.314821	−	0.968919i
$372$	−7.47501	−	23.0057i	−0.387561	−	1.19279i
$373$	−3.92922	−	2.85474i	−0.203447	−	0.147813i	0.481397	−	0.876503i	$-0.340130\pi$
$373$	−3.92922	−	2.85474i	−0.203447	−	0.147813i	−0.684844	+	0.728690i	$0.740130\pi$
$374$	−5.25659			−0.271812
$375$	−16.6005	−	26.0513i	−0.857247	−	1.34528i
$376$	−0.00558603			−0.000288078
$377$	−42.3573	−	30.7744i	−2.18151	−	1.58496i
$378$	−2.58441	−	7.95398i	−0.132928	−	0.409109i
$379$	6.96985	+	21.4510i	0.358017	+	1.10186i	0.954239	+	0.299044i	$0.0966679\pi$
$379$	6.96985	+	21.4510i	0.358017	+	1.10186i	−0.596222	+	0.802820i	$0.703332\pi$
$380$	−0.950820	+	2.02384i	−0.0487761	+	0.103821i
$381$	7.73976	−	23.8205i	0.396520	−	1.22036i
$382$	−19.7749			−1.01177
$383$	4.45193	−	13.7016i	0.227483	−	0.700121i	−0.770547	−	0.637383i	$-0.780017\pi$
$383$	4.45193	−	13.7016i	0.227483	−	0.700121i	0.998030	−	0.0627378i	$-0.0199832\pi$
$384$	2.23529	−	1.62403i	0.114069	−	0.0828760i
$385$	5.72929	−	3.15432i	0.291992	−	0.160759i
$386$	16.9269	+	12.2981i	0.861558	+	0.625958i
$387$	−24.0825	+	17.4970i	−1.22418	+	0.889421i
$388$	8.20268	−	5.95959i	0.416428	−	0.302553i
$389$	−9.27826	−	6.74105i	−0.470426	−	0.341785i	0.327181	−	0.944962i	$-0.393901\pi$
$389$	−9.27826	−	6.74105i	−0.470426	−	0.341785i	−0.797607	+	0.603177i	$0.793901\pi$
$390$	−33.7815	−	4.24638i	−1.71059	−	0.215024i
$391$	−2.02777	+	1.47326i	−0.102549	+	0.0745061i
$392$	−1.10267	+	3.39366i	−0.0556931	+	0.171406i
$393$	−39.3858			−1.98675
$394$	−3.44438	+	10.6007i	−0.173525	+	0.534056i
$395$	−17.4574	−	2.19441i	−0.878376	−	0.110413i
$396$	2.26095	+	6.95848i	0.113617	+	0.349677i
$397$	9.98172	+	30.7206i	0.500968	+	1.54182i	0.807445	+	0.589943i	$0.200850\pi$
$397$	9.98172	+	30.7206i	0.500968	+	1.54182i	−0.306477	+	0.951878i	$0.599150\pi$
$398$	2.15664	+	1.56689i	0.108102	+	0.0785410i
$399$	−5.11835			−0.256238
$400$	4.84445	+	1.23746i	0.242222	+	0.0618730i
$401$	−26.2189			−1.30931			−0.654655	−	0.755928i	$-0.727186\pi$
$401$	−26.2189			−1.30931			−0.654655	+	0.755928i	$0.727186\pi$
$402$	1.31131	+	0.952723i	0.0654022	+	0.0475175i
$403$	−14.9093	−	45.8862i	−0.742687	−	2.28576i
$404$	−3.11287	−	9.58043i	−0.154871	−	0.476644i
$405$	−2.32924	−	2.18459i	−0.115741	−	0.108553i
$406$	−5.43857	+	16.7382i	−0.269912	+	0.830703i
$407$	5.29930			0.262676
$408$	2.84256	−	8.74850i	0.140728	−	0.433115i
$409$	24.5893	−	17.8652i	1.21586	−	0.883375i	0.220112	−	0.975475i	$-0.429358\pi$
$409$	24.5893	−	17.8652i	1.21586	−	0.883375i	0.995750	+	0.0920993i	$0.0293577\pi$
$410$	0.415188	−	0.883737i	0.0205047	−	0.0436447i
$411$	8.18516	+	5.94686i	0.403744	+	0.293337i
$412$	9.39727	−	6.82752i	0.462970	−	0.336368i
$413$	−10.3291	+	7.50450i	−0.508260	+	0.369272i
$414$	2.82242	+	2.05061i	0.138715	+	0.100782i
$415$	−8.02905	−	7.53045i	−0.394131	−	0.369655i
$416$	4.45841	−	3.23923i	0.218592	−	0.158816i
$417$	−9.90404	+	30.4815i	−0.485003	+	1.49269i
$418$	1.57889			0.0772262
$419$	6.79834	−	20.9231i	0.332120	−	1.02216i	−0.636003	−	0.771687i	$-0.719413\pi$
$419$	6.79834	−	20.9231i	0.332120	−	1.02216i	0.968123	−	0.250475i	$-0.0805867\pi$
$420$	2.15153	+	11.2409i	0.104984	+	0.548501i
$421$	2.50047	+	7.69567i	0.121866	+	0.375064i	0.993317	−	0.115418i	$-0.0368208\pi$
$421$	2.50047	+	7.69567i	0.121866	+	0.375064i	−0.871451	+	0.490482i	$0.836821\pi$
$422$	3.18910	+	9.81504i	0.155243	+	0.477789i
$423$	0.0209419	+	0.0152152i	0.00101823	+	0.000739787i
$424$	−10.5929			−0.514435
$425$	15.4699	−	6.14710i	0.750399	−	0.298178i
$426$	−22.0804			−1.06980
$427$	−8.26304	−	6.00345i	−0.399877	−	0.290527i
$428$	4.59003	+	14.1267i	0.221868	+	0.682839i
$429$	7.42906	+	22.8643i	0.358678	+	1.10390i
$430$	12.5830	−	6.92768i	0.606804	−	0.334082i
$431$	0.241944	−	0.744628i	0.0116540	−	0.0358675i	−0.945060	−	0.326896i	$-0.893997\pi$
$431$	0.241944	−	0.744628i	0.0116540	−	0.0358675i	0.956714	+	0.291028i	$0.0939974\pi$
$432$	−4.51465			−0.217211
$433$	−1.51826	+	4.67274i	−0.0729631	+	0.224557i	−0.980887	−	0.194577i	$-0.937666\pi$
$433$	−1.51826	+	4.67274i	−0.0729631	+	0.224557i	0.907924	+	0.419135i	$0.137666\pi$
$434$	−13.1210	+	9.53293i	−0.629826	+	0.457596i
$435$	−11.0342	−	57.6496i	−0.529049	−	2.76408i
$436$	1.98243	+	1.44032i	0.0949413	+	0.0689789i
$437$	0.609070	−	0.442516i	0.0291358	−	0.0211684i
$438$	2.94297	−	2.13819i	0.140620	−	0.102167i
$439$	18.7915	+	13.6528i	0.896869	+	0.651614i	0.937660	−	0.347554i	$-0.112988\pi$
$439$	18.7915	+	13.6528i	0.896869	+	0.651614i	−0.0407905	+	0.999168i	$0.512988\pi$
$440$	−0.663697	−	3.46757i	−0.0316405	−	0.165310i
$441$	13.3775	−	9.71930i	0.637023	−	0.462824i
$442$	5.66965	−	17.4494i	0.269678	−	0.829983i
$443$	17.6545			0.838791			0.419395	−	0.907804i	$-0.362242\pi$
$443$	17.6545			0.838791			0.419395	+	0.907804i	$0.362242\pi$
$444$	−2.86565	+	8.81957i	−0.135998	+	0.418558i
$445$	13.1992	−	7.26698i	0.625704	−	0.344488i
$446$	−4.05975	−	12.4946i	−0.192235	−	0.591638i
$447$	−17.7747	−	54.7049i	−0.840714	−	2.58745i
$448$	−1.49869	−	1.08886i	−0.0708065	−	0.0514439i
$449$	−21.3580			−1.00795			−0.503974	−	0.863719i	$-0.668129\pi$
$449$	−21.3580			−1.00795			−0.503974	+	0.863719i	$0.668129\pi$
$450$	−14.7911	−	17.8345i	−0.697261	−	0.840725i
$451$	−0.689444			−0.0324647
$452$	0.916985	+	0.666229i	0.0431314	+	0.0313368i
$453$	11.8753	+	36.5483i	0.557949	+	1.71719i
$454$	0.332993	+	1.02485i	0.0156281	+	0.0480984i
$455$	4.29135	+	22.4207i	0.201181	+	1.05110i
$456$	−0.853804	+	2.62774i	−0.0399830	+	0.123055i
$457$	−29.3654			−1.37366			−0.686828	−	0.726820i	$-0.740998\pi$
$457$	−29.3654			−1.37366			−0.686828	+	0.726820i	$0.740998\pi$
$458$	−9.01220	+	27.7367i	−0.421112	+	1.29605i
$459$	−12.1600	+	8.83475i	−0.567579	+	0.412371i
$460$	−1.22788	−	1.15163i	−0.0572502	−	0.0536949i
$461$	19.3787	+	14.0794i	0.902556	+	0.655745i	0.939121	−	0.343586i	$-0.111642\pi$
$461$	19.3787	+	14.0794i	0.902556	+	0.655745i	−0.0365652	+	0.999331i	$0.511642\pi$
$462$	6.53794	−	4.75009i	0.304172	−	0.220994i
$463$	−8.36281	+	6.07594i	−0.388653	+	0.282373i	−0.764903	−	0.644145i	$-0.777213\pi$
$463$	−8.36281	+	6.07594i	−0.388653	+	0.282373i	0.376251	+	0.926518i	$0.377213\pi$
$464$	7.68609	+	5.58427i	0.356818	+	0.259243i
$465$	23.0000	−	48.9560i	1.06660	−	2.27028i
$466$	21.5796	−	15.6785i	0.999656	−	0.726293i
$467$	1.91973	−	5.90831i	0.0888344	−	0.273404i	−0.896763	−	0.442510i	$-0.854088\pi$
$467$	1.91973	−	5.90831i	0.0888344	−	0.273404i	0.985598	+	0.169106i	$0.0540881\pi$
$468$	−25.5374			−1.18047
$469$	0.335822	−	1.03355i	0.0155068	−	0.0477251i
$470$	−0.00911065	−	0.00854487i	−0.000420243	−	0.000394146i
$471$	−19.0536	−	58.6409i	−0.877943	−	2.70203i
$472$	2.12976	+	6.55473i	0.0980303	+	0.301706i
$473$	−8.20541	−	5.96158i	−0.377285	−	0.274114i
$474$	−21.7407			−0.998584
$475$	−4.64660	+	1.84637i	−0.213201	+	0.0847173i
$476$	−6.16745			−0.282685
$477$	39.7124	+	28.8527i	1.81831	+	1.32108i
$478$	6.47359	+	19.9237i	0.296095	+	0.911287i
$479$	8.09386	+	24.9103i	0.369818	+	1.13818i	0.946909	+	0.321502i	$0.104188\pi$
$479$	8.09386	+	24.9103i	0.369818	+	1.13818i	−0.577091	+	0.816680i	$0.695812\pi$
$480$	6.12994	+	0.770542i	0.279792	+	0.0351703i
$481$	−5.71571	+	17.5911i	−0.260614	+	0.802087i
$482$	1.94202			0.0884564
$483$	1.19075	−	3.66477i	0.0541812	−	0.166753i
$484$	6.88238	−	5.00034i	0.312836	−	0.227288i
$485$	22.4946	+	2.82760i	1.02143	+	0.128395i
$486$	−14.1496	−	10.2803i	−0.641838	−	0.466322i
$487$	25.7976	−	18.7430i	1.16900	−	0.849327i	0.178110	−	0.984011i	$-0.443002\pi$
$487$	25.7976	−	18.7430i	1.16900	−	0.849327i	0.990889	+	0.134683i	$0.0430017\pi$
$488$	−4.46052	+	3.24076i	−0.201918	+	0.146702i
$489$	−25.1433	−	18.2677i	−1.13702	−	0.826093i
$490$	−6.98965	+	3.84822i	−0.315760	+	0.173845i
$491$	−30.7974	+	22.3756i	−1.38987	+	1.00980i	−0.393989	+	0.919115i	$0.628905\pi$
$491$	−30.7974	+	22.3756i	−1.38987	+	1.00980i	−0.995880	+	0.0906833i	$0.971095\pi$
$492$	0.372824	−	1.14744i	0.0168082	−	0.0517304i
$493$	31.6300			1.42454
$494$	−1.70296	+	5.24118i	−0.0766199	+	0.235812i
$495$	−6.95675	+	14.8076i	−0.312683	+	0.665552i
$496$	2.70543	+	8.32645i	0.121477	+	0.373869i
$497$	4.57475	+	14.0796i	0.205206	+	0.631558i
$498$	−11.0040	−	7.99490i	−0.493102	−	0.358260i
$499$	−12.6178			−0.564849			−0.282425	−	0.959289i	$-0.591139\pi$
$499$	−12.6178			−0.564849			−0.282425	+	0.959289i	$0.591139\pi$
$500$	6.00822	+	9.42875i	0.268696	+	0.421666i
$501$	8.02944			0.358729
$502$	−10.9126	−	7.92847i	−0.487053	−	0.353865i
$503$	−2.89343	−	8.90506i	−0.129012	−	0.397057i	0.865599	−	0.500738i	$-0.166938\pi$
$503$	−2.89343	−	8.90506i	−0.129012	−	0.397057i	−0.994611	+	0.103681i	$0.966938\pi$
$504$	2.65272	+	8.16423i	0.118162	+	0.363664i
$505$	9.57805	−	20.3871i	0.426218	−	0.907214i
$506$	−0.367321	+	1.13050i	−0.0163294	+	0.0502567i
$507$	−47.9929			−2.13144
$508$	−2.80125	+	8.62136i	−0.124285	+	0.382511i
$509$	−22.7024	+	16.4942i	−1.00627	+	0.731095i	−0.963422	−	0.267987i	$-0.913641\pi$
$509$	−22.7024	+	16.4942i	−1.00627	+	0.731095i	−0.0428428	+	0.999082i	$0.513641\pi$
$510$	18.0186	−	9.92031i	0.797876	−	0.439279i
$511$	−1.97317	−	1.43359i	−0.0872879	−	0.0634184i
$512$	−0.809017	+	0.587785i	−0.0357538	+	0.0259767i
$513$	3.65243	−	2.65364i	0.161259	−	0.117161i
$514$	−8.74893	−	6.35647i	−0.385899	−	0.280372i
$515$	25.7706	+	3.23940i	1.13559	+	0.142745i
$516$	14.3590	−	10.4324i	0.632118	−	0.459260i
$517$	−0.00272545	+	0.00838808i	−0.000119865	+	0.000368908i
$518$	6.21755			0.273184
$519$	−15.3700	+	47.3039i	−0.674667	+	2.07641i
$520$	12.2265	+	1.53689i	0.536169	+	0.0673972i
$521$	6.25877	+	19.2625i	0.274202	+	0.843905i	0.989430	+	0.145014i	$0.0463228\pi$
$521$	6.25877	+	19.2625i	0.274202	+	0.843905i	−0.715228	+	0.698891i	$0.753677\pi$
$522$	−13.6046	−	41.8706i	−0.595456	−	1.83263i
$523$	1.49483	+	1.08606i	0.0653644	+	0.0474900i	0.619988	−	0.784612i	$-0.287138\pi$
$523$	1.49483	+	1.08606i	0.0653644	+	0.0474900i	−0.554623	+	0.832102i	$0.687138\pi$
$524$	14.2549			0.622728
$525$	−13.6860	+	21.6248i	−0.597307	+	0.943783i
$526$	−3.40250			−0.148356
$527$	23.5810	+	17.1326i	1.02721	+	0.746308i
$528$	−1.34807	−	4.14892i	−0.0586670	−	0.180559i
$529$	−6.93224	−	21.3353i	−0.301402	−	0.927620i
$530$	−17.2767	−	16.2038i	−0.750450	−	0.703847i
$531$	9.86929	−	30.3745i	0.428291	−	1.31814i
$532$	1.85248			0.0803154
$533$	0.743620	−	2.28863i	0.0322098	−	0.0991315i
$534$	15.0622	−	10.9433i	0.651806	−	0.473565i
$535$	−14.1232	+	30.0615i	−0.610598	+	1.29967i
$536$	−0.474602	−	0.344819i	−0.0204997	−	0.0148939i
$537$	−45.1699	+	32.8178i	−1.94922	+	1.41619i
$538$	9.98168	−	7.25212i	0.430341	−	0.312661i
$539$	4.55798	+	3.31157i	0.196326	+	0.142639i
$540$	−7.36325	−	6.90599i	−0.316864	−	0.297187i
$541$	−14.0192	+	10.1856i	−0.602733	+	0.437911i	−0.846848	−	0.531835i	$-0.821503\pi$
$541$	−14.0192	+	10.1856i	−0.602733	+	0.437911i	0.244115	+	0.969746i	$0.421503\pi$
$542$	8.28468	−	25.4976i	0.355858	−	1.09522i
$543$	35.2315			1.51193
$544$	−1.02881	+	3.16634i	−0.0441097	+	0.135756i
$545$	1.03005	+	5.38162i	0.0441224	+	0.230523i
$546$	8.71636	+	26.8262i	0.373026	+	1.14806i
$547$	7.81973	+	24.0667i	0.334348	+	1.02902i	0.967043	+	0.254615i	$0.0819487\pi$
$547$	7.81973	+	24.0667i	0.334348	+	1.02902i	−0.632695	+	0.774401i	$0.718051\pi$
$548$	−2.96245	−	2.15235i	−0.126550	−	0.0919437i
$549$	25.5495			1.09043
$550$	4.22182	−	6.67075i	0.180019	−	0.284442i
$551$	−9.50054			−0.404736
$552$	−1.68284	−	1.22266i	−0.0716265	−	0.0520397i
$553$	4.50438	+	13.8631i	0.191546	+	0.589517i
$554$	−7.60595	−	23.4087i	−0.323146	−	0.994541i
$555$	−18.1650	+	10.0009i	−0.771059	+	0.424514i
$556$	3.58457	−	11.0322i	0.152020	−	0.467868i
$557$	7.11382			0.301422			0.150711	−	0.988578i	$-0.451844\pi$
$557$	7.11382			0.301422			0.150711	+	0.988578i	$0.451844\pi$
$558$	12.5369	−	38.5846i	0.530730	−	1.63342i
$559$	28.6398	−	20.8080i	1.21133	−	0.880086i
$560$	−0.778701	−	4.06843i	−0.0329061	−	0.171922i
$561$	−11.7500	−	8.53687i	−0.496085	−	0.360427i
$562$	17.1261	−	12.4428i	0.722420	−	0.524869i
$563$	20.4230	−	14.8382i	0.860725	−	0.625353i	−0.0673570	−	0.997729i	$-0.521457\pi$
$563$	20.4230	−	14.8382i	0.860725	−	0.625353i	0.928082	+	0.372375i	$0.121457\pi$
$564$	−0.0124864	−	0.00907189i	−0.000525772	−	0.000381995i
$565$	0.476454	+	2.48930i	0.0200446	+	0.104726i
$566$	20.3555	−	14.7892i	0.855607	−	0.621635i
$567$	−0.817533	+	2.51611i	−0.0343332	+	0.105667i
$568$	7.99154			0.335318
$569$	1.11587	−	3.43429i	0.0467797	−	0.143973i	−0.924938	−	0.380117i	$-0.875884\pi$
$569$	1.11587	−	3.43429i	0.0467797	−	0.143973i	0.971718	+	0.236144i	$0.0758837\pi$
$570$	−5.41214	+	2.97971i	−0.226690	+	0.124806i
$571$	−5.76468	−	17.7419i	−0.241244	−	0.742474i	−0.996231	−	0.0867343i	$-0.972357\pi$
$571$	−5.76468	−	17.7419i	−0.241244	−	0.742474i	0.754987	−	0.655740i	$-0.227643\pi$
$572$	−2.68880	−	8.27527i	−0.112424	−	0.346006i
$573$	−44.2026	−	32.1151i	−1.84659	−	1.34163i
$574$	−0.808911			−0.0337633
$575$	−0.241005	−	3.75654i	−0.0100506	−	0.156659i
$576$	4.63399			0.193083
$577$	−7.44675	−	5.41038i	−0.310012	−	0.225237i	0.421889	−	0.906647i	$-0.361367\pi$
$577$	−7.44675	−	5.41038i	−0.310012	−	0.225237i	−0.731902	+	0.681410i	$0.761367\pi$
$578$	−1.82810	−	5.62630i	−0.0760387	−	0.234023i
$579$	17.8640	+	54.9797i	0.742402	+	2.28488i
$580$	3.99360	+	20.8651i	0.165825	+	0.866376i
$581$	−2.81809	+	8.67320i	−0.116914	+	0.359825i
$582$	28.0139			1.16121
$583$	−5.16832	+	15.9064i	−0.214050	+	0.658778i
$584$	−1.06515	+	0.773875i	−0.0440761	+	0.0320232i
$585$	−41.6508	−	39.0643i	−1.72205	−	1.61511i
$586$	−6.51579	−	4.73400i	−0.269165	−	0.195560i
$587$	−5.62901	+	4.08971i	−0.232334	+	0.168801i	−0.697861	−	0.716233i	$-0.745865\pi$
$587$	−5.62901	+	4.08971i	−0.232334	+	0.168801i	0.465527	+	0.885034i	$0.345865\pi$
$588$	−7.97618	+	5.79504i	−0.328932	+	0.238983i
$589$	−7.08290	−	5.14603i	−0.291846	−	0.212038i
$590$	−6.55311	+	13.9484i	−0.269787	+	0.574248i
$591$	−24.9150	+	18.1018i	−1.02487	+	0.744610i
$592$	1.03716	−	3.19206i	0.0426272	−	0.131193i
$593$	29.1904			1.19871			0.599353	−	0.800485i	$-0.295425\pi$
$593$	29.1904			1.19871			0.599353	+	0.800485i	$0.295425\pi$
$594$	−2.20272	+	6.77928i	−0.0903787	+	0.278157i
$595$	−10.0589	−	9.43426i	−0.412376	−	0.386767i
$596$	6.43319	+	19.7993i	0.263514	+	0.811012i
$597$	2.27603	+	7.00489i	0.0931516	+	0.286691i
$598$	−3.35653	−	2.43866i	−0.137259	−	0.0997242i
$599$	12.6141			0.515398			0.257699	−	0.966225i	$-0.417036\pi$
$599$	12.6141			0.515398			0.257699	+	0.966225i	$0.417036\pi$
$600$	8.81906	+	10.6336i	0.360037	+	0.434116i
$601$	0.964551			0.0393449			0.0196724	−	0.999806i	$-0.493738\pi$
$601$	0.964551			0.0393449			0.0196724	+	0.999806i	$0.493738\pi$
$602$	−9.62724	−	6.99460i	−0.392377	−	0.285078i
$603$	0.840058	+	2.58543i	0.0342098	+	0.105287i
$604$	−4.29801	−	13.2279i	−0.174884	−	0.538237i
$605$	18.8739	+	2.37248i	0.767334	+	0.0964548i
$606$	8.60076	−	26.4704i	0.349382	−	1.07529i
$607$	−35.6900			−1.44861			−0.724306	−	0.689478i	$-0.757840\pi$
$607$	−35.6900			−1.44861			−0.724306	+	0.689478i	$0.757840\pi$
$608$	0.309017	−	0.951057i	0.0125323	−	0.0385704i
$609$	−39.3401	+	28.5823i	−1.59414	+	1.15821i
$610$	−12.2323	−	1.53762i	−0.495272	−	0.0622563i
$611$	−0.0249048	−	0.0180944i	−0.00100754	−	0.000732022i
$612$	12.4814	−	9.06828i	0.504531	−	0.366563i
$613$	−20.5888	+	14.9586i	−0.831572	+	0.604172i	−0.920004	−	0.391910i	$-0.871814\pi$
$613$	−20.5888	+	14.9586i	−0.831572	+	0.604172i	0.0884318	+	0.996082i	$0.471814\pi$
$614$	−19.9666	−	14.5066i	−0.805785	−	0.585437i
$615$	2.36328	−	1.30113i	0.0952967	−	0.0524665i
$616$	−2.36627	+	1.71920i	−0.0953399	+	0.0692685i
$617$	3.45013	−	10.6184i	0.138897	−	0.427481i	−0.857279	−	0.514852i	$-0.827847\pi$
$617$	3.45013	−	10.6184i	0.138897	−	0.427481i	0.996176	+	0.0873717i	$0.0278468\pi$
$618$	32.0937			1.29100
$619$	−6.11775	+	18.8285i	−0.245893	+	0.756782i	0.749595	+	0.661897i	$0.230248\pi$
$619$	−6.11775	+	18.8285i	−0.245893	+	0.756782i	−0.995488	+	0.0948850i	$0.969752\pi$
$620$	−8.32438	+	17.7186i	−0.334315	+	0.711598i
$621$	1.05031	+	3.23251i	0.0421474	+	0.129716i
$622$	−3.73880	−	11.5069i	−0.149912	−	0.461383i
$623$	−10.0988	−	7.33718i	−0.404598	−	0.293958i
$624$	15.2264			0.609545
$625$	−4.62379	+	24.5687i	−0.184952	+	0.982748i
$626$	−24.6512			−0.985260
$627$	3.52928	+	2.56417i	0.140946	+	0.102403i
$628$	6.89606	+	21.2239i	0.275183	+	0.846926i
$629$	−3.45302	−	10.6273i	−0.137681	−	0.423738i
$630$	−8.16221	+	17.3734i	−0.325190	+	0.692175i
$631$	−6.00731	+	18.4886i	−0.239147	+	0.736020i	0.757397	+	0.652955i	$0.226471\pi$
$631$	−6.00731	+	18.4886i	−0.239147	+	0.736020i	−0.996544	+	0.0830649i	$0.973529\pi$
$632$	7.86861			0.312997
$633$	−8.81138	+	27.1186i	−0.350221	+	1.07787i
$634$	9.98404	−	7.25383i	0.396517	−	0.288086i
$635$	−17.7567	+	9.77615i	−0.704655	+	0.387955i
$636$	−23.6781	−	17.2032i	−0.938898	−	0.682150i
$637$	−15.9090	+	11.5585i	−0.630336	+	0.457966i
$638$	12.1355	−	8.81698i	0.480450	−	0.349068i
$639$	−29.9601	−	21.7673i	−1.18520	−	0.861100i
$640$	−2.21861	−	0.278882i	−0.0876982	−	0.0110238i
$641$	−11.6781	+	8.48460i	−0.461255	+	0.335122i	−0.794023	−	0.607887i	$-0.792017\pi$
$641$	−11.6781	+	8.48460i	−0.461255	+	0.335122i	0.332768	+	0.943009i	$0.392017\pi$
$642$	−12.6821	+	39.0315i	−0.500523	+	1.54045i
$643$	26.0585			1.02765			0.513823	−	0.857896i	$-0.328229\pi$
$643$	26.0585			1.02765			0.513823	+	0.857896i	$0.328229\pi$
$644$	−0.430970	+	1.32639i	−0.0169826	+	0.0522670i
$645$	39.3773	+	4.94978i	1.55048	+	0.194897i
$646$	−1.02881	−	3.16634i	−0.0404779	−	0.124578i
$647$	−5.88645	−	18.1166i	−0.231420	−	0.712239i	−0.997576	−	0.0695837i	$-0.977833\pi$
$647$	−5.88645	−	18.1166i	−0.231420	−	0.712239i	0.766156	−	0.642655i	$-0.222167\pi$
$648$	1.15538	+	0.839435i	0.0453878	+	0.0329761i
$649$	10.8818			0.427149
$650$	17.5901	+	21.2094i	0.689942	+	0.831900i
$651$	−44.8109			−1.75628
$652$	9.10011	+	6.61162i	0.356388	+	0.258931i
$653$	−10.7737	−	33.1579i	−0.421606	−	1.29757i	−0.906207	−	0.422834i	$-0.861035\pi$
$653$	−10.7737	−	33.1579i	−0.421606	−	1.29757i	0.484602	−	0.874735i	$-0.338965\pi$
$654$	2.09218	+	6.43906i	0.0818106	+	0.251787i
$655$	23.2493	+	21.8055i	0.908425	+	0.852012i
$656$	−0.134936	+	0.415291i	−0.00526837	+	0.0162144i
$657$	6.10108			0.238026
$658$	−0.00319772	+	0.00984157i	−0.000124660	+	0.000383664i
$659$	36.1688	−	26.2782i	1.40894	−	1.02365i	0.415461	−	0.909611i	$-0.363620\pi$
$659$	36.1688	−	26.2782i	1.40894	−	1.02365i	0.993476	−	0.114041i	$-0.0363796\pi$
$660$	4.14789	−	8.82888i	0.161456	−	0.343664i
$661$	−8.38162	−	6.08960i	−0.326007	−	0.236858i	0.412727	−	0.910855i	$-0.364576\pi$
$661$	−8.38162	−	6.08960i	−0.326007	−	0.236858i	−0.738735	+	0.673997i	$0.764576\pi$
$662$	4.39189	−	3.19089i	0.170696	−	0.124018i
$663$	41.0117	−	29.7967i	1.59276	−	1.15721i
$664$	3.98269	+	2.89359i	0.154558	+	0.112293i
$665$	3.02134	+	2.83372i	0.117163	+	0.109887i
$666$	−12.5828	+	9.14194i	−0.487574	+	0.354243i
$667$	2.21024	−	6.80243i	0.0855810	−	0.263391i
$668$	−2.90609			−0.112440
$669$	11.2170	−	34.5222i	0.433673	−	1.33471i
$670$	−0.246598	−	1.28838i	−0.00952689	−	0.0497745i
$671$	2.69007	+	8.27918i	0.103849	+	0.319614i
$672$	−1.58166	−	4.86784i	−0.0610138	−	0.187781i
$673$	28.6032	+	20.7814i	1.10257	+	0.801066i	0.981478	−	0.191575i	$-0.0613595\pi$
$673$	28.6032	+	20.7814i	1.10257	+	0.801066i	0.121095	+	0.992641i	$0.461360\pi$
$674$	−26.7263			−1.02946
$675$	−1.44524	−	22.5269i	−0.0556274	−	0.867062i
$676$	17.3700			0.668079
$677$	−9.26671	−	6.73266i	−0.356148	−	0.258757i	0.395295	−	0.918554i	$-0.370642\pi$
$677$	−9.26671	−	6.73266i	−0.356148	−	0.258757i	−0.751444	+	0.659797i	$0.770642\pi$
$678$	0.967749	+	2.97842i	0.0371662	+	0.114386i
$679$	−5.80410	−	17.8632i	−0.222741	−	0.685526i
$680$	−6.52146	+	3.59045i	−0.250087	+	0.137688i
$681$	−0.920048	+	2.83162i	−0.0352563	+	0.108508i
$682$	13.8231			0.529315
$683$	8.13576	−	25.0393i	0.311306	−	0.958102i	−0.665942	−	0.746004i	$-0.731970\pi$
$683$	8.13576	−	25.0393i	0.311306	−	0.958102i	0.977248	−	0.212099i	$-0.0680299\pi$
$684$	−3.74897	+	2.72379i	−0.143346	+	0.104147i
$685$	−1.53925	−	8.04203i	−0.0588118	−	0.307270i
$686$	15.8386	+	11.5074i	0.604721	+	0.439356i
$687$	−65.1901	+	47.3634i	−2.48716	+	1.80703i
$688$	−5.19693	+	3.77579i	−0.198131	+	0.143951i
$689$	−47.2274	−	34.3127i	−1.79922	−	1.30721i
$690$	−0.874384	−	4.56833i	−0.0332872	−	0.173913i
$691$	−0.220404	+	0.160133i	−0.00838457	+	0.00609175i	−0.591970	−	0.805960i	$-0.701649\pi$
$691$	−0.220404	+	0.160133i	−0.00838457	+	0.00609175i	0.583585	+	0.812052i	$0.301649\pi$
$692$	5.56285	−	17.1207i	0.211468	−	0.650831i
$693$	13.5538			0.514868
$694$	1.85134	−	5.69783i	0.0702759	−	0.216287i
$695$	22.7221	−	12.5099i	0.861897	−	0.474526i
$696$	8.11159	+	24.9649i	0.307469	+	0.946293i
$697$	0.449242	+	1.38262i	0.0170162	+	0.0523706i
$698$	−24.4686	−	17.7775i	−0.926151	−	0.672888i
$699$	73.6990			2.78755
$700$	4.95338	−	7.82665i	0.187220	−	0.295820i
$701$	23.3416			0.881599			0.440799	−	0.897606i	$-0.354695\pi$
$701$	23.3416			0.881599			0.440799	+	0.897606i	$0.354695\pi$
$702$	−20.1282	−	14.6240i	−0.759689	−	0.551946i
$703$	1.03716	+	3.19206i	0.0391174	+	0.120391i
$704$	0.487905	+	1.50162i	0.0183886	+	0.0565943i
$705$	−0.00648777	−	0.0338962i	−0.000244344	−	0.00127661i
$706$	8.77321	−	27.0012i	0.330184	−	1.01620i
$707$	−18.6609			−0.701816
$708$	−5.88446	+	18.1105i	−0.221152	+	0.680635i
$709$	25.1885	−	18.3005i	0.945973	−	0.687290i	−0.00387799	−	0.999992i	$-0.501234\pi$
$709$	25.1885	−	18.3005i	0.945973	−	0.687290i	0.949851	+	0.312703i	$0.101234\pi$
$710$	13.0340	+	12.2245i	0.489156	+	0.458779i
$711$	−29.4992	−	21.4324i	−1.10631	−	0.803779i
$712$	−5.45147	+	3.96072i	−0.204302	+	0.148434i
$713$	5.33238	−	3.87420i	0.199699	−	0.145090i
$714$	−13.7860	−	10.0161i	−0.515929	−	0.374844i
$715$	8.27321	−	17.6097i	0.309401	−	0.658566i
$716$	16.3483	−	11.8778i	0.610966	−	0.443893i
$717$	−17.8863	+	55.0484i	−0.667976	+	2.05582i
$718$	6.99841			0.261178
$719$	−9.18185	+	28.2588i	−0.342425	+	1.05388i	0.620522	+	0.784189i	$0.286921\pi$
$719$	−9.18185	+	28.2588i	−0.342425	+	1.05388i	−0.962948	+	0.269688i	$0.913079\pi$
$720$	7.55789	+	7.08854i	0.281666	+	0.264174i
$721$	−6.64937	−	20.4647i	−0.247636	−	0.762144i
$722$	0.309017	+	0.951057i	0.0115004	+	0.0353947i
$723$	4.34096	+	3.15389i	0.161442	+	0.117295i
$724$	−12.7513			−0.473899
$725$	−25.4036	+	40.1393i	−0.943466	+	1.49074i
$726$	23.5048			0.872346
$727$	31.1095	+	22.6024i	1.15379	+	0.838276i	0.988980	−	0.148050i	$-0.0472995\pi$
$727$	31.1095	+	22.6024i	1.15379	+	0.838276i	0.164808	+	0.986326i	$0.447299\pi$
$728$	−3.15471	−	9.70920i	−0.116921	−	0.359847i
$729$	−13.6089	−	41.8840i	−0.504034	−	1.55126i
$730$	−2.92101	−	0.367175i	−0.108111	−	0.0135897i
$731$	−6.60881	+	20.3398i	−0.244436	+	0.752296i
$732$	−15.2336			−0.563051
$733$	−15.0084	+	46.1910i	−0.554347	+	1.70610i	0.143315	+	0.989677i	$0.454224\pi$
$733$	−15.0084	+	46.1910i	−0.554347	+	1.70610i	−0.697662	+	0.716427i	$0.745776\pi$
$734$	−19.1753	+	13.9317i	−0.707772	+	0.514227i
$735$	−21.8735	−	2.74953i	−0.806816	−	0.101418i
$736$	0.609070	+	0.442516i	0.0224506	+	0.0163113i
$737$	−0.749347	+	0.544432i	−0.0276026	+	0.0200544i
$738$	1.63704	−	1.18938i	0.0602602	−	0.0437816i
$739$	23.4957	+	17.0706i	0.864302	+	0.627952i	0.929052	−	0.369949i	$-0.120625\pi$
$739$	23.4957	+	17.0706i	0.864302	+	0.627952i	−0.0647499	+	0.997902i	$0.520625\pi$
$740$	6.57444	−	3.61962i	0.241681	−	0.133060i
$741$	−12.3184	+	8.94988i	−0.452530	+	0.328782i
$742$	−6.06388	+	18.6627i	−0.222612	+	0.685129i
$743$	4.65465			0.170762			0.0853812	−	0.996348i	$-0.472789\pi$
$743$	4.65465			0.170762			0.0853812	+	0.996348i	$0.472789\pi$
$744$	−7.47501	+	23.0057i	−0.274047	+	0.843430i
$745$	−19.7944	+	42.1328i	−0.725211	+	1.54363i
$746$	1.50083	+	4.61907i	0.0549492	+	0.169116i
$747$	−7.04945	−	21.6960i	−0.257926	−	0.793815i
$748$	4.25267	+	3.08975i	0.155493	+	0.112972i
$749$	27.5162			1.00542
$750$	−1.88247	+	30.8335i	−0.0687381	+	1.12588i
$751$	−43.5053			−1.58753			−0.793765	−	0.608225i	$-0.791882\pi$
$751$	−43.5053			−1.58753			−0.793765	+	0.608225i	$0.791882\pi$
$752$	0.00451919	+	0.00328339i	0.000164798	+	0.000119733i
$753$	−11.5167	−	35.4448i	−0.419693	−	1.29168i
$754$	16.1791	+	49.7940i	0.589206	+	1.81339i
$755$	13.2246	−	28.1490i	0.481294	−	1.02445i
$756$	−2.58441	+	7.95398i	−0.0939939	+	0.289284i
$757$	−30.4478			−1.10664			−0.553322	−	0.832967i	$-0.686640\pi$
$757$	−30.4478			−1.10664			−0.553322	+	0.832967i	$0.686640\pi$
$758$	6.96985	−	21.4510i	0.253156	−	0.779136i
$759$	−2.65703	+	1.93044i	−0.0964440	+	0.0700707i
$760$	1.95881	−	1.07845i	0.0710537	−	0.0391193i
$761$	38.7280	+	28.1376i	1.40389	+	1.01999i	0.994176	+	0.107772i	$0.0343715\pi$
$761$	38.7280	+	28.1376i	1.40389	+	1.01999i	0.409714	+	0.912214i	$0.365628\pi$
$762$	−20.2630	+	14.7219i	−0.734050	+	0.533318i
$763$	3.67242	−	2.66817i	0.132951	−	0.0965943i
$764$	15.9982	+	11.6234i	0.578796	+	0.420520i
$765$	34.2284	+	4.30256i	1.23753	+	0.155559i
$766$	−11.6553	+	8.46808i	−0.421123	+	0.305964i
$767$	−11.7369	+	36.1225i	−0.423795	+	1.30431i
$768$	−2.76297			−0.0997000
$769$	7.74377	−	23.8329i	0.279247	−	0.859435i	−0.708817	−	0.705393i	$-0.750771\pi$
$769$	7.74377	−	23.8329i	0.279247	−	0.859435i	0.988064	−	0.154043i	$-0.0492293\pi$
$770$	−6.48916	−	0.815695i	−0.233853	−	0.0293956i
$771$	−9.23327	−	28.4171i	−0.332528	−	1.02342i
$772$	−6.46551	−	19.8988i	−0.232699	−	0.716173i
$773$	29.4675	+	21.4094i	1.05987	+	0.770041i	0.974064	−	0.226271i	$-0.0726534\pi$
$773$	29.4675	+	21.4094i	1.05987	+	0.770041i	0.0858062	+	0.996312i	$0.472653\pi$
$774$	29.7676			1.06998
$775$	−40.6808	+	16.1649i	−1.46130	+	0.580659i
$776$	−10.1391			−0.363971
$777$	13.8980	+	10.0975i	0.498589	+	0.362246i
$778$	3.54398	+	10.9072i	0.127058	+	0.391044i
$779$	−0.134936	−	0.415291i	−0.00483459	−	0.0148793i
$780$	24.8339	+	23.2917i	0.889195	+	0.833976i
$781$	3.89911	−	12.0002i	0.139521	−	0.429402i
$782$	2.50646			0.0896309
$783$	13.2542	−	40.7923i	0.473667	−	1.45780i
$784$	2.88682	−	2.09740i	0.103101	−	0.0749070i
$785$	−21.2186	+	45.1643i	−0.757325	+	1.61198i
$786$	31.8638	+	23.1504i	1.13654	+	0.825747i
$787$	40.3724	−	29.3323i	1.43912	−	1.04558i	0.450896	−	0.892577i	$-0.351105\pi$
$787$	40.3724	−	29.3323i	1.43912	−	1.04558i	0.988225	−	0.153006i	$-0.0488954\pi$
$788$	9.01750	−	6.55159i	0.321235	−	0.233391i
$789$	−7.60556	−	5.52576i	−0.270765	−	0.196722i
$790$	12.8335	+	12.0365i	0.456594	+	0.428240i
$791$	1.69870	−	1.23418i	0.0603988	−	0.0438823i
$792$	2.26095	−	6.95848i	0.0803392	−	0.247259i
$793$	−30.3844			−1.07898
$794$	9.98172	−	30.7206i	0.354238	−	1.09023i
$795$	−12.3029	−	64.2779i	−0.436337	−	2.27970i
$796$	−0.823762	−	2.53528i	−0.0291975	−	0.0898606i
$797$	4.17286	+	12.8427i	0.147810	+	0.454913i	0.997362	−	0.0725925i	$-0.0231272\pi$
$797$	4.17286	+	12.8427i	0.147810	+	0.454913i	−0.849551	+	0.527506i	$0.823127\pi$
$798$	4.14083	+	3.00849i	0.146584	+	0.106499i
$799$	0.0185975			0.000657933
$800$	−3.19188	−	3.84862i	−0.112850	−	0.136069i
$801$	31.2256			1.10330
$802$	21.2115	+	15.4111i	0.749006	+	0.544184i
$803$	0.642374	+	1.97702i	0.0226689	+	0.0697676i
$804$	−0.500876	−	1.54154i	−0.0176645	−	0.0543659i
$805$	−2.73186	+	1.50405i	−0.0962853	+	0.0530108i
$806$	−14.9093	+	45.8862i	−0.525159	+	1.61627i
$807$	34.0896			1.20001
$808$	−3.11287	+	9.58043i	−0.109510	+	0.337038i
$809$	−17.8195	+	12.9466i	−0.626501	+	0.455179i	−0.855186	−	0.518321i	$-0.826557\pi$
$809$	−17.8195	+	12.9466i	−0.626501	+	0.455179i	0.228686	+	0.973500i	$0.426557\pi$
$810$	0.600323	+	3.13647i	0.0210932	+	0.110204i
$811$	24.9527	+	18.1292i	0.876208	+	0.636602i	0.932246	−	0.361826i	$-0.117847\pi$
$811$	24.9527	+	18.1292i	0.876208	+	0.636602i	−0.0560376	+	0.998429i	$0.517847\pi$
$812$	14.2384	−	10.3448i	0.499669	−	0.363031i
$813$	59.9276	−	43.5399i	2.10175	−	1.52701i
$814$	−4.28722	−	3.11485i	−0.150267	−	0.109175i
$815$	4.72830	+	24.7037i	0.165625	+	0.865331i
$816$	−7.44191	+	5.40687i	−0.260519	+	0.189278i
$817$	1.98505	−	6.10936i	0.0694482	−	0.213740i
$818$	−30.3940			−1.06270
$819$	−14.6189	+	44.9923i	−0.510825	+	1.57216i
$820$	−0.855342	+	0.470917i	−0.0298698	+	0.0164451i
$821$	−13.4904	−	41.5192i	−0.470819	−	1.44903i	−0.851515	−	0.524331i	$-0.824316\pi$
$821$	−13.4904	−	41.5192i	−0.470819	−	1.44903i	0.380696	−	0.924700i	$-0.375684\pi$
$822$	−3.12645	−	9.62223i	−0.109048	−	0.335614i
$823$	17.9896	+	13.0702i	0.627077	+	0.455598i	0.855386	−	0.517990i	$-0.173320\pi$
$823$	17.9896	+	13.0702i	0.627077	+	0.455598i	−0.228309	+	0.973589i	$0.573320\pi$
$824$	−11.6157			−0.404651
$825$	20.2705	−	8.05466i	0.705728	−	0.280427i
$826$	12.7674			0.444235
$827$	19.9489	+	14.4937i	0.693690	+	0.503995i	0.877871	−	0.478897i	$-0.158963\pi$
$827$	19.9489	+	14.4937i	0.693690	+	0.503995i	−0.184181	+	0.982892i	$0.558963\pi$
$828$	−1.07807	−	3.31796i	−0.0374655	−	0.115307i
$829$	4.48283	+	13.7967i	0.155695	+	0.479180i	0.998231	−	0.0594606i	$-0.0189381\pi$
$829$	4.48283	+	13.7967i	0.155695	+	0.479180i	−0.842536	+	0.538641i	$0.818938\pi$
$830$	2.06935	+	10.8116i	0.0718284	+	0.375277i
$831$	21.0150	−	64.6775i	0.729002	−	2.24364i
$832$	−5.51090			−0.191056
$833$	3.67109	−	11.2985i	0.127196	−	0.391469i
$834$	25.9291	−	18.8386i	0.897852	−	0.652328i
$835$	−4.73975	−	4.44541i	−0.164026	−	0.153840i
$836$	−1.27735	−	0.928051i	−0.0441782	−	0.0320973i
$837$	31.9768	−	23.2325i	1.10528	−	0.803033i
$838$	−17.7983	+	12.9312i	−0.614831	+	0.446701i
$839$	−7.79752	−	5.66523i	−0.269200	−	0.195585i	0.444993	−	0.895534i	$-0.353206\pi$
$839$	−7.79752	−	5.66523i	−0.269200	−	0.195585i	−0.714193	+	0.699949i	$0.753206\pi$
$840$	4.86663	−	10.3587i	0.167915	−	0.357411i
$841$	−49.5605	+	36.0078i	−1.70898	+	1.24165i
$842$	2.50047	−	7.69567i	0.0861720	−	0.265210i
$843$	58.4892			2.01448
$844$	3.18910	−	9.81504i	0.109773	−	0.337848i
$845$	28.3300	+	26.5707i	0.974582	+	0.914060i
$846$	−0.00799909	−	0.0246187i	−0.000275014	−	0.000846407i
$847$	−4.86988	−	14.9879i	−0.167331	−	0.514992i
$848$	8.56981	+	6.22633i	0.294289	+	0.213813i
$849$	69.5185			2.38587
$850$	−16.1286	−	4.11986i	−0.553205	−	0.141310i
$851$	−2.52682			−0.0866184
$852$	17.8634	+	12.9785i	0.611990	+	0.444636i
$853$	−1.64420	−	5.06033i	−0.0562963	−	0.173262i	0.918955	−	0.394363i	$-0.129035\pi$
$853$	−1.64420	−	5.06033i	−0.0562963	−	0.173262i	−0.975251	+	0.221101i	$0.929035\pi$
$854$	3.15620	+	9.71379i	0.108003	+	0.332399i
$855$	−10.2810	−	1.29234i	−0.351603	−	0.0441969i
$856$	4.59003	−	14.1267i	0.156884	−	0.482840i
$857$	−16.2535			−0.555209			−0.277604	−	0.960695i	$-0.589540\pi$
$857$	−16.2535			−0.555209			−0.277604	+	0.960695i	$0.589540\pi$
$858$	7.42906	−	22.8643i	0.253624	−	0.780574i
$859$	−19.4135	+	14.1047i	−0.662381	+	0.481248i	−0.867466	−	0.497496i	$-0.834253\pi$
$859$	−19.4135	+	14.1047i	−0.662381	+	0.481248i	0.205085	+	0.978744i	$0.434253\pi$
$860$	−14.2518	−	1.79147i	−0.485983	−	0.0610887i
$861$	−1.80815	−	1.31370i	−0.0616215	−	0.0447707i
$862$	−0.633419	+	0.460206i	−0.0215743	+	0.0156747i
$863$	0.944212	−	0.686010i	0.0321413	−	0.0233520i	−0.571599	−	0.820533i	$-0.693677\pi$
$863$	0.944212	−	0.686010i	0.0321413	−	0.0233520i	0.603740	+	0.797181i	$0.293677\pi$
$864$	3.65243	+	2.65364i	0.124258	+	0.0902788i
$865$	35.2621	−	19.4139i	1.19895	−	0.660093i
$866$	3.97487	−	2.88791i	0.135071	−	0.0981352i
$867$	5.05097	−	15.5453i	0.171540	−	0.527945i
$868$	16.2184			0.550488
$869$	3.83914	−	11.8157i	0.130234	−	0.400819i
$870$	−24.9587	+	53.1252i	−0.846180	+	1.80111i
$871$	−0.999027	−	3.07469i	−0.0338507	−	0.104182i
$872$	−0.757222	−	2.33049i	−0.0256428	−	0.0789203i
$873$	38.0111	+	27.6167i	1.28648	+	0.934683i
$874$	−0.752853			−0.0254656
$875$	20.0511	−	5.18791i	0.677852	−	0.175384i
$876$	−3.63771			−0.122907
$877$	8.02200	+	5.82832i	0.270884	+	0.196808i	0.714931	−	0.699195i	$-0.246458\pi$
$877$	8.02200	+	5.82832i	0.270884	+	0.196808i	−0.444048	+	0.896003i	$0.646458\pi$
$878$	−7.17772	−	22.0907i	−0.242236	−	0.745526i
$879$	−6.87650	−	21.1637i	−0.231939	−	0.713834i
$880$	−1.50124	+	3.19543i	−0.0506070	+	0.107718i
$881$	6.87314	−	21.1533i	0.231562	−	0.712674i	−0.765997	−	0.642844i	$-0.777754\pi$
$881$	6.87314	−	21.1533i	0.231562	−	0.712674i	0.997559	−	0.0698302i	$-0.0222457\pi$
$882$	−16.5355			−0.556778
$883$	5.37769	−	16.5508i	0.180974	−	0.556979i	−0.818882	−	0.573962i	$-0.805406\pi$
$883$	5.37769	−	16.5508i	0.180974	−	0.556979i	0.999856	+	0.0169822i	$0.00540586\pi$
$884$	−14.8433	+	10.7843i	−0.499236	+	0.362716i
$885$	−37.3008	+	20.5363i	−1.25385	+	0.690321i
$886$	−14.2828	−	10.3771i	−0.479840	−	0.348624i
$887$	24.7868	−	18.0087i	0.832261	−	0.604673i	−0.0879374	−	0.996126i	$-0.528028\pi$
$887$	24.7868	−	18.0087i	0.832261	−	0.604673i	0.920198	+	0.391453i	$0.128028\pi$
$888$	7.50237	−	5.45079i	0.251763	−	0.182917i
$889$	13.5857	+	9.87058i	0.455650	+	0.331049i
$890$	−14.9498	−	1.87921i	−0.501120	−	0.0629914i
$891$	1.82423	−	1.32538i	0.0611140	−	0.0444019i
$892$	−4.05975	+	12.4946i	−0.135930	+	0.418351i
$893$	−0.00558603			−0.000186929
$894$	−17.7747	+	54.7049i	−0.594474	+	1.82960i
$895$	44.8329	+	5.63555i	1.49860	+	0.188376i
$896$	0.572449	+	1.76182i	0.0191242	+	0.0588582i
$897$	−3.54234	−	10.9022i	−0.118275	−	0.364014i
$898$	17.2790	+	12.5539i	0.576609	+	0.418931i
$899$	−83.1767			−2.77410
$900$	1.48344	+	23.1224i	0.0494481	+	0.770746i
$901$	35.2667			1.17491
$902$	0.557772	+	0.405245i	0.0185718	+	0.0134932i
$903$	−10.1602	−	31.2699i	−0.338110	−	1.04060i
$904$	−0.350257	−	1.07798i	−0.0116494	−	0.0358531i
$905$	−20.7970	−	19.5055i	−0.691316	−	0.648385i
$906$	11.8753	−	36.5483i	0.394529	−	1.21424i
$907$	−28.7818			−0.955685			−0.477843	−	0.878445i	$-0.658581\pi$
$907$	−28.7818			−0.955685			−0.477843	+	0.878445i	$0.658581\pi$
$908$	0.332993	−	1.02485i	0.0110507	−	0.0340107i
$909$	37.7651	−	27.4380i	1.25259	−	0.910060i
$910$	9.70679	−	20.6611i	0.321777	−	0.684910i
$911$	15.5513	+	11.2987i	0.515238	+	0.374343i	0.814807	−	0.579732i	$-0.196843\pi$
$911$	15.5513	+	11.2987i	0.515238	+	0.374343i	−0.299569	+	0.954075i	$0.596843\pi$
$912$	2.23529	−	1.62403i	0.0740178	−	0.0537770i
$913$	6.28824	−	4.56867i	0.208110	−	0.151201i
$914$	23.7571	+	17.2606i	0.785816	+	0.570929i
$915$	−24.8456	−	23.3027i	−0.821370	−	0.770363i
$916$	23.5942	−	17.1422i	0.779576	−	0.566395i
$917$	8.16020	−	25.1145i	0.269474	−	0.829354i
$918$	15.0306			0.496083
$919$	−16.6579	+	51.2677i	−0.549493	+	1.69117i	0.160568	+	0.987025i	$0.448667\pi$
$919$	−16.6579	+	51.2677i	−0.549493	+	1.69117i	−0.710061	+	0.704140i	$0.751333\pi$
$920$	0.316466	+	1.65342i	0.0104336	+	0.0545115i
$921$	−21.0719	−	64.8527i	−0.694343	−	2.13697i
$922$	−7.40200	−	22.7810i	−0.243772	−	0.750253i
$923$	35.6296	+	25.8864i	1.17276	+	0.852062i
$924$	−8.08134			−0.265856
$925$	16.2596	+	4.15333i	0.534612	+	0.136561i
$926$	10.3370			0.339695
$927$	43.5468	+	31.6386i	1.43026	+	1.03915i
$928$	−2.93583	−	9.03555i	−0.0963732	−	0.296606i
$929$	−12.2788	−	37.7904i	−0.402856	−	1.23986i	−0.922672	−	0.385585i	$-0.874000\pi$
$929$	−12.2788	−	37.7904i	−0.402856	−	1.23986i	0.519817	−	0.854278i	$-0.326000\pi$
$930$	−47.3830	+	26.0872i	−1.55375	+	0.855433i
$931$	−1.10267	+	3.39366i	−0.0361384	+	0.111223i
$932$	−26.6739			−0.873732
$933$	10.3302	−	31.7931i	0.338195	−	1.04086i
$934$	−5.02591	+	3.65154i	−0.164453	+	0.119482i
$935$	2.20964	+	11.5445i	0.0722629	+	0.377547i
$936$	20.6602	+	15.0105i	0.675301	+	0.490635i
$937$	−26.4877	+	19.2445i	−0.865317	+	0.628689i	−0.929326	−	0.369260i	$-0.879611\pi$
$937$	−26.4877	+	19.2445i	−0.865317	+	0.628689i	0.0640096	+	0.997949i	$0.479611\pi$
$938$	−0.879193	+	0.638771i	−0.0287067	+	0.0208566i
$939$	−55.1025	−	40.0343i	−1.79820	−	1.30647i
$940$	0.00234812	+	0.0122681i	7.65872e−5	+	0.000400140i
$941$	24.5640	−	17.8468i	0.800762	−	0.581788i	−0.110376	−	0.993890i	$-0.535205\pi$
$941$	24.5640	−	17.8468i	0.800762	−	0.581788i	0.911138	+	0.412102i	$0.135205\pi$
$942$	−19.0536	+	58.6409i	−0.620800	+	1.91063i
$943$	0.328743			0.0107053
$944$	2.12976	−	6.55473i	0.0693179	−	0.213338i
$945$	−16.3822	+	9.01938i	−0.532913	+	0.293400i
$946$	3.13419	+	9.64604i	0.101901	+	0.313620i
$947$	−11.5665	−	35.5982i	−0.375862	−	1.15679i	−0.942895	−	0.333090i	$-0.891909\pi$
$947$	−11.5665	−	35.5982i	−0.375862	−	1.15679i	0.567033	−	0.823695i	$-0.308091\pi$
$948$	17.5886	+	12.7789i	0.571252	+	0.415039i
$949$	−7.25563			−0.235528
$950$	4.84445	+	1.23746i	0.157175	+	0.0401485i
$951$	34.0976			1.10569
$952$	4.98957	+	3.62514i	0.161713	+	0.117491i
$953$	−4.03067	−	12.4051i	−0.130566	−	0.401842i	0.864308	−	0.502963i	$-0.167757\pi$
$953$	−4.03067	−	12.4051i	−0.130566	−	0.401842i	−0.994874	+	0.101122i	$0.967757\pi$
$954$	−15.1688	−	46.6847i	−0.491108	−	1.51147i
$955$	8.31248	+	43.4297i	0.268986	+	1.40535i
$956$	6.47359	−	19.9237i	0.209371	−	0.644377i
$957$	41.4454			1.33974
$958$	8.09386	−	24.9103i	0.261501	−	0.804817i
$959$	−5.48789	+	3.98719i	−0.177213	+	0.128753i
$960$	−4.50631	−	4.22647i	−0.145441	−	0.136409i
$961$	−36.9309	−	26.8319i	−1.19132	−	0.865544i
$962$	14.9639	−	10.8719i	0.482456	−	0.350525i
$963$	−55.6860	+	40.4582i	−1.79446	+	1.30375i
$964$	−1.57112	−	1.14149i	−0.0506025	−	0.0367649i
$965$	19.8938	−	42.3445i	0.640406	−	1.36312i
$966$	−3.11744	+	2.26495i	−0.100302	+	0.0728736i
$967$	5.41382	−	16.6620i	0.174097	−	0.535814i	−0.825494	−	0.564410i	$-0.809104\pi$
$967$	5.41382	−	16.6620i	0.174097	−	0.535814i	0.999591	+	0.0285959i	$0.00910360\pi$
$968$	−8.50709			−0.273428
$969$	2.84256	−	8.74850i	0.0913161	−	0.281042i
$970$	−16.5365	−	15.5096i	−0.530955	−	0.497983i
$971$	−0.295674	−	0.909990i	−0.00948862	−	0.0292030i	0.946200	−	0.323582i	$-0.104887\pi$
$971$	−0.295674	−	0.909990i	−0.00948862	−	0.0292030i	−0.955689	+	0.294379i	$0.904887\pi$
$972$	5.40465	+	16.6338i	0.173354	+	0.533530i
$973$	−17.3847	−	12.6307i	−0.557327	−	0.404922i
$974$	−31.8875			−1.02174
$975$	4.87433	+	75.9760i	0.156103	+	2.43318i
$976$	5.51351			0.176483
$977$	−13.6415	−	9.91110i	−0.436429	−	0.317084i	0.347785	−	0.937574i	$-0.386934\pi$
$977$	−13.6415	−	9.91110i	−0.436429	−	0.317084i	−0.784214	+	0.620490i	$0.786934\pi$
$978$	9.60389	+	29.5577i	0.307098	+	0.945152i
$979$	3.28769	+	10.1185i	0.105075	+	0.323388i
$980$	7.91667	+	0.995136i	0.252889	+	0.0317884i
$981$	−3.50895	+	10.7995i	−0.112032	+	0.344800i
$982$	38.0677			1.21479
$983$	8.54623	−	26.3026i	0.272583	−	0.838923i	−0.717266	−	0.696799i	$-0.754607\pi$
$983$	8.54623	−	26.3026i	0.272583	−	0.838923i	0.989849	−	0.142124i	$-0.0453931\pi$
$984$	−0.976067	+	0.709154i	−0.0311159	+	0.0226070i
$985$	24.7291	+	3.10849i	0.787936	+	0.0990446i
$986$	−25.5892	−	18.5917i	−0.814927	−	0.592079i
$987$	−0.0231308	+	0.0168055i	−0.000736262	+	0.000534926i
$988$	4.45841	−	3.23923i	0.141841	−	0.103054i
$989$	3.91252	+	2.84262i	0.124411	+	0.0903899i
$990$	14.3318	−	7.89052i	0.455495	−	0.250777i
$991$	−28.5300	+	20.7283i	−0.906285	+	0.658455i	−0.940073	−	0.340974i	$-0.889243\pi$
$991$	−28.5300	+	20.7283i	−0.906285	+	0.658455i	0.0337874	+	0.999429i	$0.489243\pi$
$992$	2.70543	−	8.32645i	0.0858974	−	0.264365i
$993$	14.9992			0.475987
$994$	4.57475	−	14.0796i	0.145102	−	0.446579i
$995$	2.53465	−	5.39506i	0.0803538	−	0.171035i
$996$	4.20317	+	12.9360i	0.133182	+	0.409893i
$997$	−14.0134	−	43.1288i	−0.443809	−	1.36590i	−0.883784	−	0.467894i	$-0.845013\pi$
$997$	−14.0134	−	43.1288i	−0.443809	−	1.36590i	0.439975	−	0.898010i	$-0.354987\pi$
$998$	10.2080	+	7.41654i	0.323129	+	0.234767i
$999$	−15.1527			−0.479409

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	950.2.h.b.191.2	✓	40
25.11	even	5	inner	950.2.h.b.761.2	yes	40

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
950.2.h.b.191.2	✓	40	1.1	even	1	trivial
950.2.h.b.761.2	yes	40	25.11	even	5	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.h (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.809017 - 0.587785i) q^{2} +(-0.853804 - 2.62774i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-0.950820 + 2.02384i) q^{5} +(-0.853804 + 2.62774i) q^{6} +1.85248 q^{7} +(0.309017 - 0.951057i) q^{8} +(-3.74897 + 2.72379i) q^{9} +O(q^{10})\)	\(q+(-0.809017 - 0.587785i) q^{2} +(-0.853804 - 2.62774i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-0.950820 + 2.02384i) q^{5} +(-0.853804 + 2.62774i) q^{6} +1.85248 q^{7} +(0.309017 - 0.951057i) q^{8} +(-3.74897 + 2.72379i) q^{9} +(1.95881 - 1.07845i) q^{10} +(-1.27735 - 0.928051i) q^{11} +(2.23529 - 1.62403i) q^{12} +(4.45841 - 3.23923i) q^{13} +(-1.49869 - 1.08886i) q^{14} +(6.12994 + 0.770542i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(-1.02881 + 3.16634i) q^{17} +4.63399 q^{18} +(0.309017 - 0.951057i) q^{19} +(-2.21861 - 0.278882i) q^{20} +(-1.58166 - 4.86784i) q^{21} +(0.487905 + 1.50162i) q^{22} +(0.609070 + 0.442516i) q^{23} -2.76297 q^{24} +(-3.19188 - 3.84862i) q^{25} -5.51090 q^{26} +(3.65243 + 2.65364i) q^{27} +(0.572449 + 1.76182i) q^{28} +(-2.93583 - 9.03555i) q^{29} +(-4.50631 - 4.22647i) q^{30} +(2.70543 - 8.32645i) q^{31} +1.00000 q^{32} +(-1.34807 + 4.14892i) q^{33} +(2.69345 - 1.95691i) q^{34} +(-1.76138 + 3.74914i) q^{35} +(-3.74897 - 2.72379i) q^{36} +(-2.71533 + 1.97280i) q^{37} +(-0.809017 + 0.587785i) q^{38} +(-12.3184 - 8.94988i) q^{39} +(1.63097 + 1.52969i) q^{40} +(0.353268 - 0.256664i) q^{41} +(-1.58166 + 4.86784i) q^{42} +6.42376 q^{43} +(0.487905 - 1.50162i) q^{44} +(-1.94792 - 10.1772i) q^{45} +(-0.232644 - 0.716005i) q^{46} +(-0.00172618 - 0.00531263i) q^{47} +(2.23529 + 1.62403i) q^{48} -3.56830 q^{49} +(0.320123 + 4.98974i) q^{50} +9.19871 q^{51} +(4.45841 + 3.23923i) q^{52} +(-3.27338 - 10.0744i) q^{53} +(-1.39510 - 4.29369i) q^{54} +(3.09276 - 1.70275i) q^{55} +(0.572449 - 1.76182i) q^{56} -2.76297 q^{57} +(-2.93583 + 9.03555i) q^{58} +(-5.57579 + 4.05105i) q^{59} +(1.16143 + 6.06803i) q^{60} +(-4.46052 - 3.24076i) q^{61} +(-7.08290 + 5.14603i) q^{62} +(-6.94491 + 5.04577i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(2.31654 + 12.1031i) q^{65} +(3.52928 - 2.56417i) q^{66} +(0.181282 - 0.557929i) q^{67} -3.32929 q^{68} +(0.642788 - 1.97830i) q^{69} +(3.62867 - 1.99780i) q^{70} +(2.46952 + 7.60041i) q^{71} +(1.43198 + 4.40718i) q^{72} +(-1.06515 - 0.773875i) q^{73} +3.35633 q^{74} +(-7.38793 + 11.6734i) q^{75} +1.00000 q^{76} +(-2.36627 - 1.71920i) q^{77} +(4.70523 + 14.4812i) q^{78} +(2.43154 + 7.48350i) q^{79} +(-0.420355 - 2.19620i) q^{80} +(-0.441317 + 1.35823i) q^{81} -0.436663 q^{82} +(-1.52125 + 4.68193i) q^{83} +(4.14083 - 3.00849i) q^{84} +(-5.42997 - 5.09276i) q^{85} +(-5.19693 - 3.77579i) q^{86} +(-21.2364 + 15.4292i) q^{87} +(-1.27735 + 0.928051i) q^{88} +(-5.45147 - 3.96072i) q^{89} +(-4.40609 + 9.37846i) q^{90} +(8.25914 - 6.00062i) q^{91} +(-0.232644 + 0.716005i) q^{92} -24.1896 q^{93} +(-0.00172618 + 0.00531263i) q^{94} +(1.63097 + 1.52969i) q^{95} +(-0.853804 - 2.62774i) q^{96} +(-3.13314 - 9.64283i) q^{97} +(2.88682 + 2.09740i) q^{98} +7.31657 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 40 q - 10 q^{2} + 5 q^{3} - 10 q^{4} + 5 q^{6} - 12 q^{7} - 10 q^{8} - 3 q^{9}+O(q^{10}) \) 40 * q - 10 * q^2 + 5 * q^3 - 10 * q^4 + 5 * q^6 - 12 * q^7 - 10 * q^8 - 3 * q^9	\( 40 q - 10 q^{2} + 5 q^{3} - 10 q^{4} + 5 q^{6} - 12 q^{7} - 10 q^{8} - 3 q^{9} - 6 q^{11} + 16 q^{13} - 2 q^{14} + 16 q^{15} - 10 q^{16} - 2 q^{17} + 22 q^{18} - 10 q^{19} - 5 q^{20} + 3 q^{21} + 14 q^{22} + 4 q^{23} - 10 q^{24} - 2 q^{25} - 34 q^{26} + 29 q^{27} + 8 q^{28} + 16 q^{30} + 19 q^{31} + 40 q^{32} - 16 q^{33} + 3 q^{34} - 24 q^{35} - 3 q^{36} + q^{37} - 10 q^{38} - 7 q^{39} + 5 q^{40} + 20 q^{41} + 3 q^{42} - 48 q^{43} + 14 q^{44} + 53 q^{45} + 4 q^{46} + 29 q^{47} + 28 q^{49} + 3 q^{50} - 122 q^{51} + 16 q^{52} - 5 q^{53} - 6 q^{54} + 56 q^{55} + 8 q^{56} - 10 q^{57} + 20 q^{59} - 19 q^{60} + 42 q^{61} - 21 q^{62} + 9 q^{63} - 10 q^{64} + 35 q^{65} + 24 q^{66} - 3 q^{67} - 2 q^{68} - 9 q^{69} - 19 q^{70} + 18 q^{71} - 8 q^{72} + 8 q^{73} - 64 q^{74} + 7 q^{75} + 40 q^{76} + 35 q^{77} - 2 q^{78} + q^{79} + 59 q^{81} - 30 q^{82} + 11 q^{83} - 7 q^{84} - 125 q^{85} + 32 q^{86} - 31 q^{87} - 6 q^{88} - 34 q^{89} - 7 q^{90} + 10 q^{91} + 4 q^{92} + 24 q^{93} + 29 q^{94} + 5 q^{95} + 5 q^{96} + 90 q^{97} - 12 q^{98} + 10 q^{99}+O(q^{100}) \) 40 * q - 10 * q^2 + 5 * q^3 - 10 * q^4 + 5 * q^6 - 12 * q^7 - 10 * q^8 - 3 * q^9 - 6 * q^11 + 16 * q^13 - 2 * q^14 + 16 * q^15 - 10 * q^16 - 2 * q^17 + 22 * q^18 - 10 * q^19 - 5 * q^20 + 3 * q^21 + 14 * q^22 + 4 * q^23 - 10 * q^24 - 2 * q^25 - 34 * q^26 + 29 * q^27 + 8 * q^28 + 16 * q^30 + 19 * q^31 + 40 * q^32 - 16 * q^33 + 3 * q^34 - 24 * q^35 - 3 * q^36 + q^37 - 10 * q^38 - 7 * q^39 + 5 * q^40 + 20 * q^41 + 3 * q^42 - 48 * q^43 + 14 * q^44 + 53 * q^45 + 4 * q^46 + 29 * q^47 + 28 * q^49 + 3 * q^50 - 122 * q^51 + 16 * q^52 - 5 * q^53 - 6 * q^54 + 56 * q^55 + 8 * q^56 - 10 * q^57 + 20 * q^59 - 19 * q^60 + 42 * q^61 - 21 * q^62 + 9 * q^63 - 10 * q^64 + 35 * q^65 + 24 * q^66 - 3 * q^67 - 2 * q^68 - 9 * q^69 - 19 * q^70 + 18 * q^71 - 8 * q^72 + 8 * q^73 - 64 * q^74 + 7 * q^75 + 40 * q^76 + 35 * q^77 - 2 * q^78 + q^79 + 59 * q^81 - 30 * q^82 + 11 * q^83 - 7 * q^84 - 125 * q^85 + 32 * q^86 - 31 * q^87 - 6 * q^88 - 34 * q^89 - 7 * q^90 + 10 * q^91 + 4 * q^92 + 24 * q^93 + 29 * q^94 + 5 * q^95 + 5 * q^96 + 90 * q^97 - 12 * q^98 + 10 * q^99

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