LMFDB - Embedded newform 950.2.h.c.191.4

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:	$44$
Relative dimension:	$11$ over $\Q(\zeta_{5})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			191.4
Character	$\chi$	$=$	950.191
Dual form			950.2.h.c.761.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.809017 - 0.587785i) q^{2} +(-0.351062 - 1.08046i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-0.646677 - 2.14052i) q^{5} +(-0.351062 + 1.08046i) q^{6} -1.02053 q^{7} +(0.309017 - 0.951057i) q^{8} +(1.38291 - 1.00474i) q^{9} +O(q^{10})$	\(q+(-0.809017 - 0.587785i) q^{2} +(-0.351062 - 1.08046i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-0.646677 - 2.14052i) q^{5} +(-0.351062 + 1.08046i) q^{6} -1.02053 q^{7} +(0.309017 - 0.951057i) q^{8} +(1.38291 - 1.00474i) q^{9} +(-0.734991 + 2.11182i) q^{10} +(-3.22261 - 2.34137i) q^{11} +(0.919092 - 0.667760i) q^{12} +(-4.54960 + 3.30547i) q^{13} +(0.825625 + 0.599851i) q^{14} +(-2.08571 + 1.45016i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(-0.120278 + 0.370176i) q^{17} -1.70937 q^{18} +(-0.309017 + 0.951057i) q^{19} +(1.83592 - 1.27648i) q^{20} +(0.358269 + 1.10264i) q^{21} +(1.23093 + 3.78841i) q^{22} +(5.62763 + 4.08871i) q^{23} -1.13606 q^{24} +(-4.16362 + 2.76844i) q^{25} +5.62361 q^{26} +(-4.32834 - 3.14473i) q^{27} +(-0.315361 - 0.970580i) q^{28} +(-1.31948 - 4.06093i) q^{29} +(2.53976 + 0.0527467i) q^{30} +(2.16581 - 6.66569i) q^{31} +1.00000 q^{32} +(-1.39841 + 4.30386i) q^{33} +(0.314891 - 0.228782i) q^{34} +(0.659952 + 2.18446i) q^{35} +(1.38291 + 1.00474i) q^{36} +(-4.28655 + 3.11436i) q^{37} +(0.809017 - 0.587785i) q^{38} +(5.16862 + 3.75522i) q^{39} +(-2.23559 - 0.0464295i) q^{40} +(-2.21836 + 1.61173i) q^{41} +(0.358269 - 1.10264i) q^{42} -0.0803849 q^{43} +(1.23093 - 3.78841i) q^{44} +(-3.04496 - 2.31039i) q^{45} +(-2.14956 - 6.61568i) q^{46} +(3.74956 + 11.5400i) q^{47} +(0.919092 + 0.667760i) q^{48} -5.95852 q^{49} +(4.99569 + 0.207594i) q^{50} +0.442185 q^{51} +(-4.54960 - 3.30547i) q^{52} +(-0.983658 - 3.02739i) q^{53} +(1.65328 + 5.08827i) q^{54} +(-2.92774 + 8.41217i) q^{55} +(-0.315361 + 0.970580i) q^{56} +1.13606 q^{57} +(-1.31948 + 4.06093i) q^{58} +(2.90239 - 2.10871i) q^{59} +(-2.02371 - 1.53551i) q^{60} +(0.499886 + 0.363188i) q^{61} +(-5.67017 + 4.11962i) q^{62} +(-1.41129 + 1.02537i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(10.0175 + 7.60091i) q^{65} +(3.66109 - 2.65993i) q^{66} +(-4.88773 + 15.0429i) q^{67} -0.389227 q^{68} +(2.44204 - 7.51581i) q^{69} +(0.750079 - 2.15517i) q^{70} +(4.12569 + 12.6976i) q^{71} +(-0.528223 - 1.62570i) q^{72} +(-1.37278 - 0.997385i) q^{73} +5.29847 q^{74} +(4.45288 + 3.52672i) q^{75} -1.00000 q^{76} +(3.28877 + 2.38943i) q^{77} +(-1.97424 - 6.07607i) q^{78} +(0.476302 + 1.46591i) q^{79} +(1.78134 + 1.35161i) q^{80} +(-0.293557 + 0.903475i) q^{81} +2.74204 q^{82} +(2.75060 - 8.46547i) q^{83} +(-0.937960 + 0.681468i) q^{84} +(0.870149 + 0.0180716i) q^{85} +(0.0650327 + 0.0472490i) q^{86} +(-3.92445 + 2.85128i) q^{87} +(-3.22261 + 2.34137i) q^{88} +(-10.5961 - 7.69850i) q^{89} +(1.10541 + 3.65893i) q^{90} +(4.64299 - 3.37333i) q^{91} +(-2.14956 + 6.61568i) q^{92} -7.96233 q^{93} +(3.74956 - 11.5400i) q^{94} +(2.23559 + 0.0464295i) q^{95} +(-0.351062 - 1.08046i) q^{96} +(4.51851 + 13.9066i) q^{97} +(4.82055 + 3.50233i) q^{98} -6.80904 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 44 q - 11 q^{2} + q^{3} - 11 q^{4} - q^{5} + q^{6} + 18 q^{7} - 11 q^{8} - 8 q^{9}+O(q^{10}) $ 44 * q - 11 * q^2 + q^3 - 11 * q^4 - q^5 + q^6 + 18 * q^7 - 11 * q^8 - 8 * q^9	\( 44 q - 11 q^{2} + q^{3} - 11 q^{4} - q^{5} + q^{6} + 18 q^{7} - 11 q^{8} - 8 q^{9} + 4 q^{10} - q^{11} - 4 q^{12} + 2 q^{13} + 3 q^{14} - 4 q^{15} - 11 q^{16} + 11 q^{17} + 42 q^{18} + 11 q^{19} - 6 q^{20} + 3 q^{21} - 6 q^{22} - 3 q^{23} + 6 q^{24} - 11 q^{25} + 22 q^{26} - 23 q^{27} - 12 q^{28} + 36 q^{29} - 4 q^{30} + 11 q^{31} + 44 q^{32} + 2 q^{33} - 19 q^{34} + 67 q^{35} - 8 q^{36} + 3 q^{37} + 11 q^{38} + 47 q^{39} + 4 q^{40} + 2 q^{41} + 3 q^{42} + 70 q^{43} - 6 q^{44} - 28 q^{45} - 8 q^{46} - 11 q^{47} - 4 q^{48} + 22 q^{49} + 14 q^{50} + 38 q^{51} + 2 q^{52} - 9 q^{53} + 32 q^{54} + 8 q^{55} - 12 q^{56} - 6 q^{57} + 36 q^{58} - 62 q^{59} + 11 q^{60} - 28 q^{61} - 29 q^{62} + 10 q^{63} - 11 q^{64} - 39 q^{65} - 8 q^{66} + 25 q^{67} + 16 q^{68} - 81 q^{69} - 43 q^{70} - 34 q^{71} - 13 q^{72} + 6 q^{73} + 8 q^{74} - 39 q^{75} - 44 q^{76} - 21 q^{77} - 58 q^{78} + 19 q^{79} - q^{80} - 22 q^{81} + 2 q^{82} - 50 q^{83} - 7 q^{84} + 102 q^{85} - 10 q^{86} + 47 q^{87} - q^{88} - 4 q^{89} - 38 q^{90} - 8 q^{91} - 8 q^{92} + 60 q^{93} - 11 q^{94} - 4 q^{95} + q^{96} + 8 q^{97} + 7 q^{98} - 12 q^{99}+O(q^{100}) \) 44 * q - 11 * q^2 + q^3 - 11 * q^4 - q^5 + q^6 + 18 * q^7 - 11 * q^8 - 8 * q^9 + 4 * q^10 - q^11 - 4 * q^12 + 2 * q^13 + 3 * q^14 - 4 * q^15 - 11 * q^16 + 11 * q^17 + 42 * q^18 + 11 * q^19 - 6 * q^20 + 3 * q^21 - 6 * q^22 - 3 * q^23 + 6 * q^24 - 11 * q^25 + 22 * q^26 - 23 * q^27 - 12 * q^28 + 36 * q^29 - 4 * q^30 + 11 * q^31 + 44 * q^32 + 2 * q^33 - 19 * q^34 + 67 * q^35 - 8 * q^36 + 3 * q^37 + 11 * q^38 + 47 * q^39 + 4 * q^40 + 2 * q^41 + 3 * q^42 + 70 * q^43 - 6 * q^44 - 28 * q^45 - 8 * q^46 - 11 * q^47 - 4 * q^48 + 22 * q^49 + 14 * q^50 + 38 * q^51 + 2 * q^52 - 9 * q^53 + 32 * q^54 + 8 * q^55 - 12 * q^56 - 6 * q^57 + 36 * q^58 - 62 * q^59 + 11 * q^60 - 28 * q^61 - 29 * q^62 + 10 * q^63 - 11 * q^64 - 39 * q^65 - 8 * q^66 + 25 * q^67 + 16 * q^68 - 81 * q^69 - 43 * q^70 - 34 * q^71 - 13 * q^72 + 6 * q^73 + 8 * q^74 - 39 * q^75 - 44 * q^76 - 21 * q^77 - 58 * q^78 + 19 * q^79 - q^80 - 22 * q^81 + 2 * q^82 - 50 * q^83 - 7 * q^84 + 102 * q^85 - 10 * q^86 + 47 * q^87 - q^88 - 4 * q^89 - 38 * q^90 - 8 * q^91 - 8 * q^92 + 60 * q^93 - 11 * q^94 - 4 * q^95 + q^96 + 8 * q^97 + 7 * q^98 - 12 * 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
$3$	−0.351062	−	1.08046i	−0.202686	−	0.623803i	−0.999800	−	0.0199748i	$-0.993641\pi$
$3$	−0.351062	−	1.08046i	−0.202686	−	0.623803i	0.797115	−	0.603828i	$-0.206359\pi$
$4$	0.309017	+	0.951057i	0.154508	+	0.475528i
$5$	−0.646677	−	2.14052i	−0.289203	−	0.957268i
$5$	−0.646677	−	2.14052i	−0.289203	−	0.957268i
$6$	−0.351062	+	1.08046i	−0.143320	+	0.441095i
$7$	−1.02053			−0.385723			−0.192862	−	0.981226i	$-0.561777\pi$
$7$	−1.02053			−0.385723			−0.192862	+	0.981226i	$0.561777\pi$
$8$	0.309017	−	0.951057i	0.109254	−	0.336249i
$9$	1.38291	−	1.00474i	0.460969	−	0.334913i
$10$	−0.734991	+	2.11182i	−0.232425	+	0.667816i
$11$	−3.22261	−	2.34137i	−0.971655	−	0.705949i	−0.0158267	−	0.999875i	$-0.505038\pi$
$11$	−3.22261	−	2.34137i	−0.971655	−	0.705949i	−0.955828	+	0.293926i	$0.905038\pi$
$12$	0.919092	−	0.667760i	0.265319	−	0.192766i
$13$	−4.54960	+	3.30547i	−1.26183	+	0.916774i	−0.998846	−	0.0480263i	$-0.984707\pi$
$13$	−4.54960	+	3.30547i	−1.26183	+	0.916774i	−0.262985	+	0.964800i	$0.584707\pi$
$14$	0.825625	+	0.599851i	0.220657	+	0.160317i
$15$	−2.08571	+	1.45016i	−0.538529	+	0.374430i
$16$	−0.809017	+	0.587785i	−0.202254	+	0.146946i
$17$	−0.120278	+	0.370176i	−0.0291716	+	0.0897810i	−0.964582	−	0.263782i	$-0.915030\pi$
$17$	−0.120278	+	0.370176i	−0.0291716	+	0.0897810i	0.935411	+	0.353563i	$0.115030\pi$
$18$	−1.70937			−0.402901
$19$	−0.309017	+	0.951057i	−0.0708934	+	0.218187i
$19$	−0.309017	+	0.951057i	−0.0708934	+	0.218187i
$20$	1.83592	−	1.27648i	0.410524	−	0.285430i
$21$	0.358269	+	1.10264i	0.0781807	+	0.240615i
$22$	1.23093	+	3.78841i	0.262435	+	0.807692i
$23$	5.62763	+	4.08871i	1.17344	+	0.852556i	0.991417	−	0.130738i	$-0.0417347\pi$
$23$	5.62763	+	4.08871i	1.17344	+	0.852556i	0.182025	+	0.983294i	$0.441735\pi$
$24$	−1.13606			−0.231897
$25$	−4.16362	+	2.76844i	−0.832724	+	0.553689i
$26$	5.62361			1.10288
$27$	−4.32834	−	3.14473i	−0.832990	−	0.605203i
$28$	−0.315361	−	0.970580i	−0.0595975	−	0.183422i
$29$	−1.31948	−	4.06093i	−0.245021	−	0.754096i	−0.995633	−	0.0933533i	$-0.970241\pi$
$29$	−1.31948	−	4.06093i	−0.245021	−	0.754096i	0.750612	−	0.660743i	$-0.229759\pi$
$30$	2.53976	+	0.0527467i	0.463695	+	0.00963018i
$31$	2.16581	−	6.66569i	0.388991	−	1.19719i	−0.544552	−	0.838727i	$-0.683300\pi$
$31$	2.16581	−	6.66569i	0.388991	−	1.19719i	0.933543	−	0.358465i	$-0.116700\pi$
$32$	1.00000			0.176777
$33$	−1.39841	+	4.30386i	−0.243432	+	0.749207i
$34$	0.314891	−	0.228782i	0.0540033	−	0.0392357i
$35$	0.659952	+	2.18446i	0.111552	+	0.369241i
$36$	1.38291	+	1.00474i	0.230484	+	0.167457i
$37$	−4.28655	+	3.11436i	−0.704704	+	0.511998i	−0.881461	−	0.472257i	$-0.843439\pi$
$37$	−4.28655	+	3.11436i	−0.704704	+	0.511998i	0.176757	+	0.984255i	$0.443439\pi$
$38$	0.809017	−	0.587785i	0.131240	−	0.0953514i
$39$	5.16862	+	3.75522i	0.827641	+	0.601316i
$40$	−2.23559	−	0.0464295i	−0.353477	−	0.00734114i
$41$	−2.21836	+	1.61173i	−0.346450	+	0.251710i	−0.747378	−	0.664399i	$-0.768688\pi$
$41$	−2.21836	+	1.61173i	−0.346450	+	0.251710i	0.400928	+	0.916109i	$0.368688\pi$
$42$	0.358269	−	1.10264i	0.0552821	−	0.170141i
$43$	−0.0803849			−0.0122586			−0.00612929	−	0.999981i	$-0.501951\pi$
$43$	−0.0803849			−0.0122586			−0.00612929	+	0.999981i	$0.501951\pi$
$44$	1.23093	−	3.78841i	0.185570	−	0.571124i
$45$	−3.04496	−	2.31039i	−0.453915	−	0.344413i
$46$	−2.14956	−	6.61568i	−0.316936	−	0.975428i
$47$	3.74956	+	11.5400i	0.546930	+	1.68328i	0.716357	+	0.697734i	$0.245808\pi$
$47$	3.74956	+	11.5400i	0.546930	+	1.68328i	−0.169427	+	0.985543i	$0.554192\pi$
$48$	0.919092	+	0.667760i	0.132660	+	0.0963828i
$49$	−5.95852			−0.851217
$50$	4.99569	+	0.207594i	0.706497	+	0.0293582i
$51$	0.442185			0.0619183
$52$	−4.54960	−	3.30547i	−0.630915	−	0.458387i
$53$	−0.983658	−	3.02739i	−0.135116	−	0.415844i	0.860492	−	0.509464i	$-0.170156\pi$
$53$	−0.983658	−	3.02739i	−0.135116	−	0.415844i	−0.995608	+	0.0936199i	$0.970156\pi$
$54$	1.65328	+	5.08827i	0.224983	+	0.692426i
$55$	−2.92774	+	8.41217i	−0.394777	+	1.13430i
$56$	−0.315361	+	0.970580i	−0.0421418	+	0.129699i
$57$	1.13606			0.150475
$58$	−1.31948	+	4.06093i	−0.173256	+	0.533226i
$59$	2.90239	−	2.10871i	0.377860	−	0.274531i	−0.382603	−	0.923913i	$-0.624972\pi$
$59$	2.90239	−	2.10871i	0.377860	−	0.274531i	0.760463	+	0.649382i	$0.224972\pi$
$60$	−2.02371	−	1.53551i	−0.261259	−	0.198233i
$61$	0.499886	+	0.363188i	0.0640038	+	0.0465015i	0.619327	−	0.785133i	$-0.287405\pi$
$61$	0.499886	+	0.363188i	0.0640038	+	0.0465015i	−0.555323	+	0.831635i	$0.687405\pi$
$62$	−5.67017	+	4.11962i	−0.720112	+	0.523192i
$63$	−1.41129	+	1.02537i	−0.177806	+	0.129184i
$64$	−0.809017	−	0.587785i	−0.101127	−	0.0734732i
$65$	10.0175	+	7.60091i	1.24252	+	0.942777i
$66$	3.66109	−	2.65993i	0.450649	−	0.327415i
$67$	−4.88773	+	15.0429i	−0.597131	+	1.83778i	−0.0533101	+	0.998578i	$0.516977\pi$
$67$	−4.88773	+	15.0429i	−0.597131	+	1.83778i	−0.543821	+	0.839201i	$0.683023\pi$
$68$	−0.389227			−0.0472007
$69$	2.44204	−	7.51581i	0.293986	−	0.904797i
$70$	0.750079	−	2.15517i	0.0896516	−	0.257592i
$71$	4.12569	+	12.6976i	0.489629	+	1.50692i	0.825162	+	0.564896i	$0.191084\pi$
$71$	4.12569	+	12.6976i	0.489629	+	1.50692i	−0.335533	+	0.942029i	$0.608916\pi$
$72$	−0.528223	−	1.62570i	−0.0622517	−	0.191591i
$73$	−1.37278	−	0.997385i	−0.160672	−	0.116735i	0.504544	−	0.863386i	$-0.331661\pi$
$73$	−1.37278	−	0.997385i	−0.160672	−	0.116735i	−0.665216	+	0.746651i	$0.731661\pi$
$74$	5.29847			0.615934
$75$	4.45288	+	3.52672i	0.514174	+	0.407230i
$76$	−1.00000			−0.114708
$77$	3.28877	+	2.38943i	0.374790	+	0.272301i
$78$	−1.97424	−	6.07607i	−0.223538	−	0.687980i
$79$	0.476302	+	1.46591i	0.0535882	+	0.164927i	0.974269	−	0.225389i	$-0.0723654\pi$
$79$	0.476302	+	1.46591i	0.0535882	+	0.164927i	−0.920681	+	0.390317i	$0.872365\pi$
$80$	1.78134	+	1.35161i	0.199159	+	0.151114i
$81$	−0.293557	+	0.903475i	−0.0326174	+	0.100386i
$82$	2.74204			0.302808
$83$	2.75060	−	8.46547i	0.301918	−	0.929207i	−0.678892	−	0.734238i	$-0.737540\pi$
$83$	2.75060	−	8.46547i	0.301918	−	0.929207i	0.980810	−	0.194968i	$-0.0624604\pi$
$84$	−0.937960	+	0.681468i	−0.102340	+	0.0743542i
$85$	0.870149	+	0.0180716i	0.0943810	+	0.00196014i
$86$	0.0650327	+	0.0472490i	0.00701266	+	0.00509499i
$87$	−3.92445	+	2.85128i	−0.420745	+	0.305689i
$88$	−3.22261	+	2.34137i	−0.343532	+	0.249591i
$89$	−10.5961	−	7.69850i	−1.12318	−	0.816039i	−0.138493	−	0.990363i	$-0.544226\pi$
$89$	−10.5961	−	7.69850i	−1.12318	−	0.816039i	−0.984688	+	0.174325i	$0.944226\pi$
$90$	1.10541	+	3.65893i	0.116520	+	0.385685i
$91$	4.64299	−	3.37333i	0.486718	−	0.353621i
$92$	−2.14956	+	6.61568i	−0.224108	+	0.689732i
$93$	−7.96233			−0.825655
$94$	3.74956	−	11.5400i	0.386738	−	1.19026i
$95$	2.23559	+	0.0464295i	0.229366	+	0.00476356i
$96$	−0.351062	−	1.08046i	−0.0358301	−	0.110274i
$97$	4.51851	+	13.9066i	0.458786	+	1.41200i	0.866633	+	0.498947i	$0.166280\pi$
$97$	4.51851	+	13.9066i	0.458786	+	1.41200i	−0.407847	+	0.913050i	$0.633720\pi$
$98$	4.82055	+	3.50233i	0.486949	+	0.353789i
$99$	−6.80904			−0.684334
$100$	−3.91958	−	3.10434i	−0.391958	−	0.310434i
$101$	1.03823			0.103308			0.0516539	−	0.998665i	$-0.483551\pi$
$101$	1.03823			0.103308			0.0516539	+	0.998665i	$0.483551\pi$
$102$	−0.357735	−	0.259910i	−0.0354211	−	0.0257349i
$103$	−5.36548	−	16.5133i	−0.528677	−	1.62710i	−0.756929	−	0.653497i	$-0.773301\pi$
$103$	−5.36548	−	16.5133i	−0.528677	−	1.62710i	0.228252	−	0.973602i	$-0.426699\pi$
$104$	1.73779	+	5.34837i	0.170404	+	0.524451i
$105$	2.12853	−	1.47993i	0.207723	−	0.144426i
$106$	−0.983658	+	3.02739i	−0.0955413	+	0.294046i
$107$	0.517474			0.0500261			0.0250130	−	0.999687i	$-0.492037\pi$
$107$	0.517474			0.0500261			0.0250130	+	0.999687i	$0.492037\pi$
$108$	1.65328	−	5.08827i	0.159087	−	0.489619i
$109$	10.5844	−	7.69000i	1.01380	−	0.736569i	0.0487971	−	0.998809i	$-0.484461\pi$
$109$	10.5844	−	7.69000i	1.01380	−	0.736569i	0.965003	+	0.262240i	$0.0844612\pi$
$110$	7.31314	−	5.08470i	0.697281	−	0.484807i
$111$	4.86978	+	3.53810i	0.462219	+	0.335822i
$112$	0.825625	−	0.599851i	0.0780142	−	0.0566806i
$113$	−12.7176	+	9.23989i	−1.19637	+	0.869216i	−0.993923	−	0.110077i	$-0.964890\pi$
$113$	−12.7176	+	9.23989i	−1.19637	+	0.869216i	−0.202450	+	0.979293i	$0.564890\pi$
$114$	−0.919092	−	0.667760i	−0.0860809	−	0.0625414i
$115$	5.11270	−	14.6901i	0.476761	−	1.36986i
$116$	3.45444	−	2.50979i	0.320736	−	0.233029i
$117$	−2.97052	+	9.14232i	−0.274625	+	0.845208i
$118$	−3.58756			−0.330261
$119$	0.122747	−	0.377776i	0.0112522	−	0.0346306i
$120$	0.734664	+	2.43176i	0.0670654	+	0.221988i
$121$	1.50406	+	4.62902i	0.136733	+	0.420820i
$122$	−0.190939	−	0.587651i	−0.0172868	−	0.0532034i
$123$	2.52019	+	1.83103i	0.227238	+	0.165098i
$124$	7.00872			0.629401
$125$	8.61842	+	7.12200i	0.770855	+	0.637011i
$126$	1.74446			0.155409
$127$	−2.27704	−	1.65437i	−0.202055	−	0.146802i	0.482157	−	0.876085i	$-0.339854\pi$
$127$	−2.27704	−	1.65437i	−0.202055	−	0.146802i	−0.684212	+	0.729283i	$0.739854\pi$
$128$	0.309017	+	0.951057i	0.0273135	+	0.0840623i
$129$	0.0282201	+	0.0868525i	0.00248464	+	0.00764693i
$130$	−3.63666	−	12.0374i	−0.318956	−	1.05575i
$131$	−4.94517	+	15.2197i	−0.432061	+	1.32975i	0.464007	+	0.885832i	$0.346411\pi$
$131$	−4.94517	+	15.2197i	−0.432061	+	1.32975i	−0.896068	+	0.443916i	$0.853589\pi$
$132$	−4.52535			−0.393881
$133$	0.315361	−	0.970580i	0.0273452	−	0.0841600i
$134$	12.7962	−	9.29701i	1.10543	−	0.803139i
$135$	−3.93229	+	11.2985i	−0.338438	+	0.972421i
$136$	0.314891	+	0.228782i	0.0270017	+	0.0196179i
$137$	−0.699949	+	0.508543i	−0.0598007	+	0.0434477i	−0.617284	−	0.786740i	$-0.711767\pi$
$137$	−0.699949	+	0.508543i	−0.0598007	+	0.0434477i	0.557483	+	0.830188i	$0.311767\pi$
$138$	−6.39333	+	4.64503i	−0.544236	+	0.395411i
$139$	−2.56436	−	1.86312i	−0.217507	−	0.158028i	0.473697	−	0.880688i	$-0.342919\pi$
$139$	−2.56436	−	1.86312i	−0.217507	−	0.158028i	−0.691204	+	0.722660i	$0.742919\pi$
$140$	−1.87361	+	1.30269i	−0.158349	+	0.110097i
$141$	11.1521	−	8.10249i	0.939178	−	0.682353i
$142$	4.12569	−	12.6976i	0.346220	−	1.06556i
$143$	22.4009			1.87326
$144$	−0.528223	+	1.62570i	−0.0440186	+	0.135475i
$145$	−7.83921	+	5.45047i	−0.651011	+	0.452637i
$146$	0.524357	+	1.61380i	0.0433961	+	0.133559i
$147$	2.09181	+	6.43793i	0.172530	+	0.530992i
$148$	−4.28655	−	3.11436i	−0.352352	−	0.255999i
$149$	−17.6886			−1.44910			−0.724552	−	0.689220i	$-0.757953\pi$
$149$	−17.6886			−1.44910			−0.724552	+	0.689220i	$0.757953\pi$
$150$	−1.52950	−	5.47051i	−0.124883	−	0.446665i
$151$	−18.6706			−1.51939			−0.759695	−	0.650280i	$-0.774652\pi$
$151$	−18.6706			−1.51939			−0.759695	+	0.650280i	$0.774652\pi$
$152$	0.809017	+	0.587785i	0.0656199	+	0.0476757i
$153$	0.205598	+	0.632767i	0.0166217	+	0.0511562i
$154$	−1.25620	−	3.86618i	−0.101227	−	0.311546i
$155$	−15.6686	−	0.325411i	−1.25853	−	0.0261376i
$156$	−1.97424	+	6.07607i	−0.158065	+	0.486475i
$157$	−12.5121			−0.998574			−0.499287	−	0.866437i	$-0.666405\pi$
$157$	−12.5121			−0.998574			−0.499287	+	0.866437i	$0.666405\pi$
$158$	0.476302	−	1.46591i	0.0378926	−	0.116621i
$159$	−2.92564	+	2.12560i	−0.232018	+	0.168571i
$160$	−0.646677	−	2.14052i	−0.0511243	−	0.169223i
$161$	−5.74316	−	4.17265i	−0.452624	−	0.328851i
$162$	0.768542	−	0.558378i	0.0603824	−	0.0438703i
$163$	1.69732	−	1.23317i	0.132944	−	0.0965895i	−0.519326	−	0.854576i	$-0.673817\pi$
$163$	1.69732	−	1.23317i	0.132944	−	0.0965895i	0.652270	+	0.757987i	$0.273817\pi$
$164$	−2.21836	−	1.61173i	−0.173225	−	0.125855i
$165$	10.1168	+	0.210110i	0.787593	+	0.0163570i
$166$	−7.20116	+	5.23195i	−0.558919	+	0.406078i
$167$	5.90420	−	18.1713i	0.456881	−	1.40613i	−0.412032	−	0.911169i	$-0.635181\pi$
$167$	5.90420	−	18.1713i	0.456881	−	1.40613i	0.868913	−	0.494965i	$-0.164819\pi$
$168$	1.15938			0.0894483
$169$	5.75544	−	17.7134i	0.442726	−	1.36257i
$170$	−0.693343	−	0.526081i	−0.0531770	−	0.0403486i
$171$	0.528223	+	1.62570i	0.0403942	+	0.124321i
$172$	−0.0248403	−	0.0764505i	−0.00189405	−	0.00582930i
$173$	−17.7039	−	12.8627i	−1.34601	−	0.977931i	−0.999200	−	0.0399937i	$-0.987266\pi$
$173$	−17.7039	−	12.8627i	−1.34601	−	0.977931i	−0.346806	−	0.937937i	$-0.612734\pi$
$174$	4.85088			0.367745
$175$	4.24909	−	2.82528i	0.321201	−	0.213571i
$176$	3.98337			0.300258
$177$	−3.29730	−	2.39563i	−0.247840	−	0.180066i
$178$	4.04734	+	12.4564i	0.303361	+	0.933649i
$179$	5.03502	+	15.4962i	0.376335	+	1.15824i	0.942574	+	0.333999i	$0.108398\pi$
$179$	5.03502	+	15.4962i	0.376335	+	1.15824i	−0.566238	+	0.824241i	$0.691602\pi$
$180$	1.25637	−	3.60988i	0.0936442	−	0.269064i
$181$	2.85007	−	8.77162i	0.211844	−	0.651989i	−0.787518	−	0.616291i	$-0.788634\pi$
$181$	2.85007	−	8.77162i	0.211844	−	0.651989i	0.999363	−	0.0356983i	$-0.0113655\pi$
$182$	−5.73905			−0.425407
$183$	0.216919	−	0.667608i	0.0160351	−	0.0493510i
$184$	5.62763	−	4.08871i	0.414874	−	0.301424i
$185$	9.43835	+	7.16144i	0.693921	+	0.526520i
$186$	6.44166	+	4.68014i	0.472325	+	0.343164i
$187$	1.25433	−	0.911322i	0.0917255	−	0.0666425i
$188$	−9.81648	+	7.13209i	−0.715940	+	0.520161i
$189$	4.41720	+	3.20928i	0.321304	+	0.233441i
$190$	−1.78134	−	1.35161i	−0.129232	−	0.0980559i
$191$	15.1198	−	10.9852i	1.09403	−	0.794860i	0.113956	−	0.993486i	$-0.463648\pi$
$191$	15.1198	−	10.9852i	1.09403	−	0.794860i	0.980075	+	0.198626i	$0.0636478\pi$
$192$	−0.351062	+	1.08046i	−0.0253357	+	0.0779753i
$193$	−19.4663			−1.40121			−0.700607	−	0.713548i	$-0.747087\pi$
$193$	−19.4663			−1.40121			−0.700607	+	0.713548i	$0.747087\pi$
$194$	4.51851	−	13.9066i	0.324410	−	0.998433i
$195$	4.69568	−	13.4919i	0.336265	−	0.966177i
$196$	−1.84128	−	5.66689i	−0.131520	−	0.404778i
$197$	−7.00423	−	21.5568i	−0.499031	−	1.53586i	−0.810580	−	0.585628i	$-0.800848\pi$
$197$	−7.00423	−	21.5568i	−0.499031	−	1.53586i	0.311549	−	0.950230i	$-0.399152\pi$
$198$	5.50863	+	4.00225i	0.391481	+	0.284428i
$199$	16.7446			1.18699			0.593496	−	0.804837i	$-0.297747\pi$
$199$	16.7446			1.18699			0.593496	+	0.804837i	$0.297747\pi$
$200$	1.34632	+	4.81533i	0.0951991	+	0.340495i
$201$	17.9691			1.26744
$202$	−0.839946	−	0.610256i	−0.0590984	−	0.0429375i
$203$	1.34656	+	4.14430i	0.0945102	+	0.290873i
$204$	0.136643	+	0.420543i	0.00956690	+	0.0294439i
$205$	4.88450	+	3.70617i	0.341148	+	0.258850i
$206$	−5.36548	+	16.5133i	−0.373831	+	1.15053i
$207$	11.8906			0.826452
$208$	1.73779	−	5.34837i	0.120494	−	0.370843i
$209$	3.22261	−	2.34137i	0.222913	−	0.161956i
$210$	−2.59190	−	0.0538295i	−0.178858	−	0.00371459i
$211$	−10.1131	−	7.34759i	−0.696214	−	0.505829i	0.182483	−	0.983209i	$-0.441587\pi$
$211$	−10.1131	−	7.34759i	−0.696214	−	0.505829i	−0.878697	+	0.477380i	$0.841587\pi$
$212$	2.57525	−	1.87103i	0.176869	−	0.128503i
$213$	12.2708	−	8.91527i	0.840783	−	0.610864i
$214$	−0.418645	−	0.304163i	−0.0286180	−	0.0207922i
$215$	0.0519830	+	0.172065i	0.00354521	+	0.0117347i
$216$	−4.32834	+	3.14473i	−0.294506	+	0.213971i
$217$	−2.21027	+	6.80252i	−0.150043	+	0.461785i
$218$	−13.0830			−0.886093
$219$	−0.595701	+	1.83338i	−0.0402537	+	0.123888i
$220$	−8.90517	−	0.184946i	−0.600386	−	0.0124690i
$221$	−0.676394	−	2.08173i	−0.0454992	−	0.140032i
$222$	−1.86009	−	5.72477i	−0.124841	−	0.384221i
$223$	−17.8052	−	12.9362i	−1.19232	−	0.866272i	−0.198814	−	0.980037i	$-0.563709\pi$
$223$	−17.8052	−	12.9362i	−1.19232	−	0.866272i	−0.993508	+	0.113765i	$0.963709\pi$
$224$	−1.02053			−0.0681869
$225$	−2.97632	+	8.01185i	−0.198422	+	0.534124i
$226$	15.7198			1.04567
$227$	−7.50603	−	5.45345i	−0.498193	−	0.361958i	0.310133	−	0.950693i	$-0.399626\pi$
$227$	−7.50603	−	5.45345i	−0.498193	−	0.361958i	−0.808326	+	0.588735i	$0.799626\pi$
$228$	0.351062	+	1.08046i	0.0232497	+	0.0715551i
$229$	−3.12690	−	9.62361i	−0.206631	−	0.635946i	−0.999642	−	0.0267388i	$-0.991488\pi$
$229$	−3.12690	−	9.62361i	−0.206631	−	0.635946i	0.793011	−	0.609207i	$-0.208512\pi$
$230$	−12.7709	+	8.87938i	−0.842088	+	0.585489i
$231$	1.42712	−	4.39222i	0.0938974	−	0.288987i
$232$	−4.26992			−0.280334
$233$	8.01976	−	24.6823i	0.525392	−	1.61699i	−0.238147	−	0.971229i	$-0.576540\pi$
$233$	8.01976	−	24.6823i	0.525392	−	1.61699i	0.763539	−	0.645762i	$-0.223460\pi$
$234$	7.77692	−	5.65027i	0.508393	−	0.369369i
$235$	22.2767	−	15.4886i	1.45317	−	1.01037i
$236$	2.90239	+	2.10871i	0.188930	+	0.137266i
$237$	1.41664	−	1.02925i	0.0920206	−	0.0668569i
$238$	−0.321355	+	0.233478i	−0.0208304	+	0.0151341i
$239$	−7.35674	−	5.34499i	−0.475868	−	0.345738i	0.323856	−	0.946106i	$-0.395021\pi$
$239$	−7.35674	−	5.34499i	−0.475868	−	0.345738i	−0.799724	+	0.600368i	$0.795021\pi$
$240$	0.834995	−	2.39916i	0.0538987	−	0.154865i
$241$	−17.4857	+	12.7041i	−1.12635	+	0.818344i	−0.985160	−	0.171638i	$-0.945094\pi$
$241$	−17.4857	+	12.7041i	−1.12635	+	0.818344i	−0.141194	+	0.989982i	$0.545094\pi$
$242$	1.50406	−	4.62902i	0.0966847	−	0.297565i
$243$	−14.9712			−0.960400
$244$	−0.190939	+	0.587651i	−0.0122236	+	0.0376205i
$245$	3.85324	+	12.7543i	0.246174	+	0.814843i
$246$	−0.962628	−	2.96266i	−0.0613749	−	0.188893i
$247$	−1.73779	−	5.34837i	−0.110573	−	0.340309i
$248$	−5.67017	−	4.11962i	−0.360056	−	0.261596i
$249$	−10.1122			−0.640836
$250$	−2.78624	−	10.8276i	−0.176217	−	0.684797i
$251$	−8.42273			−0.531638			−0.265819	−	0.964023i	$-0.585642\pi$
$251$	−8.42273			−0.531638			−0.265819	+	0.964023i	$0.585642\pi$
$252$	−1.41129	−	1.02537i	−0.0889032	−	0.0645920i
$253$	−8.56251	−	26.3527i	−0.538320	−	1.65678i
$254$	0.869754	+	2.67683i	0.0545732	+	0.167959i
$255$	−0.285951	−	0.946504i	−0.0179069	−	0.0592724i
$256$	0.309017	−	0.951057i	0.0193136	−	0.0594410i
$257$	7.13827			0.445273			0.222636	−	0.974902i	$-0.428534\pi$
$257$	7.13827			0.445273			0.222636	+	0.974902i	$0.428534\pi$
$258$	0.0282201	−	0.0868525i	0.00175691	−	0.00540720i
$259$	4.37454	−	3.17829i	0.271821	−	0.197490i
$260$	−4.13330	+	11.8761i	−0.256337	+	0.736522i
$261$	−5.90489	−	4.29016i	−0.365504	−	0.265554i
$262$	12.9466	−	9.40627i	0.799845	−	0.581121i
$263$	13.9698	−	10.1496i	0.861412	−	0.625852i	−0.0668568	−	0.997763i	$-0.521297\pi$
$263$	13.9698	−	10.1496i	0.861412	−	0.625852i	0.928269	+	0.371910i	$0.121297\pi$
$264$	3.66109	+	2.65993i	0.225324	+	0.163708i
$265$	−5.84406	+	4.06328i	−0.358998	+	0.249605i
$266$	−0.825625	+	0.599851i	−0.0506223	+	0.0367793i
$267$	−4.59802	+	14.1513i	−0.281394	+	0.866043i
$268$	−15.8170			−0.966178
$269$	6.08724	−	18.7346i	0.371145	−	1.14227i	−0.574897	−	0.818226i	$-0.694958\pi$
$269$	6.08724	−	18.7346i	0.371145	−	1.14227i	0.946043	−	0.324042i	$-0.105042\pi$
$270$	9.82239	−	6.82934i	0.597772	−	0.415620i
$271$	5.37186	+	16.5329i	0.326317	+	1.00430i	0.970842	+	0.239718i	$0.0770551\pi$
$271$	5.37186	+	16.5329i	0.326317	+	1.00430i	−0.644525	+	0.764583i	$0.722945\pi$
$272$	−0.120278	−	0.370176i	−0.00729290	−	0.0224452i
$273$	−5.27472	−	3.83231i	−0.319241	−	0.231942i
$274$	0.865185			0.0522677
$275$	19.8997	+	0.826924i	1.20000	+	0.0498654i
$276$	7.90259			0.475680
$277$	−2.22243	−	1.61469i	−0.133533	−	0.0970174i	0.519014	−	0.854766i	$-0.326299\pi$
$277$	−2.22243	−	1.61469i	−0.133533	−	0.0970174i	−0.652547	+	0.757749i	$0.726299\pi$
$278$	0.979500	+	3.01459i	0.0587465	+	0.180803i
$279$	−3.70217	−	11.3941i	−0.221643	−	0.682147i
$280$	2.28148	+	0.0473826i	0.136344	+	0.00283165i
$281$	−2.64143	+	8.12949i	−0.157575	+	0.484964i	−0.998413	−	0.0563222i	$-0.982063\pi$
$281$	−2.64143	+	8.12949i	−0.157575	+	0.484964i	0.840838	+	0.541287i	$0.182063\pi$
$282$	−13.7848			−0.820871
$283$	3.23391	−	9.95295i	0.192236	−	0.591641i	−0.807762	−	0.589509i	$-0.799321\pi$
$283$	3.23391	−	9.95295i	0.192236	−	0.591641i	0.999998	−	0.00213234i	$-0.000678746\pi$
$284$	−10.8012	+	7.84753i	−0.640933	+	0.465665i
$285$	−0.734664	−	2.43176i	−0.0435178	−	0.144045i
$286$	−18.1227	−	13.1669i	−1.07162	−	0.778577i
$287$	2.26390	−	1.64482i	0.133634	−	0.0970906i
$288$	1.38291	−	1.00474i	0.0814885	−	0.0592049i
$289$	13.6307	+	9.90330i	0.801807	+	0.582547i
$290$	9.54577	+	0.198250i	0.560547	+	0.0116416i
$291$	13.4392	−	9.76413i	0.787818	−	0.572383i
$292$	0.524357	−	1.61380i	0.0306856	−	0.0944407i
$293$	−4.12351			−0.240898			−0.120449	−	0.992719i	$-0.538433\pi$
$293$	−4.12351			−0.240898			−0.120449	+	0.992719i	$0.538433\pi$
$294$	2.09181	−	6.43793i	0.121997	−	0.375468i
$295$	−6.39065	−	4.84897i	−0.372078	−	0.282318i
$296$	1.63732	+	5.03914i	0.0951671	+	0.292894i
$297$	6.58563	+	20.2685i	0.382137	+	1.17610i
$298$	14.3104	+	10.3971i	0.828977	+	0.602287i
$299$	−39.1186			−2.26229
$300$	−1.97809	+	5.32475i	−0.114205	+	0.307425i
$301$	0.0820350			0.00472842
$302$	15.1048	+	10.9743i	0.869184	+	0.631499i
$303$	−0.364483	−	1.12176i	−0.0209390	−	0.0644437i
$304$	−0.309017	−	0.951057i	−0.0177233	−	0.0545468i
$305$	0.454146	−	1.30488i	0.0260043	−	0.0747172i
$306$	0.205598	−	0.632767i	0.0117533	−	0.0361729i
$307$	−2.61507			−0.149250			−0.0746250	−	0.997212i	$-0.523776\pi$
$307$	−2.61507			−0.149250			−0.0746250	+	0.997212i	$0.523776\pi$
$308$	−1.25620	+	3.86618i	−0.0715785	+	0.220296i
$309$	−15.9583	+	11.5944i	−0.907834	+	0.659580i
$310$	12.4849	+	9.47303i	0.709094	+	0.538032i
$311$	11.7028	+	8.50258i	0.663604	+	0.482137i	0.867878	−	0.496777i	$-0.165483\pi$
$311$	11.7028	+	8.50258i	0.663604	+	0.482137i	−0.204274	+	0.978914i	$0.565483\pi$
$312$	5.16862	−	3.75522i	0.292615	−	0.212597i
$313$	8.63285	−	6.27213i	0.487957	−	0.354522i	−0.316441	−	0.948612i	$-0.602488\pi$
$313$	8.63285	−	6.27213i	0.487957	−	0.354522i	0.804398	+	0.594090i	$0.202488\pi$
$314$	10.1225	+	7.35443i	0.571246	+	0.415034i
$315$	3.10746	+	2.35782i	0.175086	+	0.132848i
$316$	−1.24698	+	0.905981i	−0.0701478	+	0.0509654i
$317$	−3.27118	+	10.0677i	−0.183728	+	0.565456i	−0.999924	−	0.0123186i	$-0.996079\pi$
$317$	−3.27118	+	10.0677i	−0.183728	+	0.565456i	0.816196	+	0.577775i	$0.196079\pi$
$318$	3.61629			0.202792
$319$	−5.25597	+	16.1762i	−0.294278	+	0.905693i
$320$	−0.734991	+	2.11182i	−0.0410873	+	0.118054i
$321$	−0.181665	−	0.559109i	−0.0101396	−	0.0312064i
$322$	2.19369	+	6.75149i	0.122250	+	0.376246i
$323$	−0.314891	−	0.228782i	−0.0175210	−	0.0127298i
$324$	−0.949970			−0.0527761
$325$	9.79175	−	26.3580i	0.543149	−	1.46208i
$326$	−2.09800			−0.116197
$327$	−12.0245	−	8.73631i	−0.664956	−	0.483119i
$328$	0.847338	+	2.60784i	0.0467864	+	0.143994i
$329$	−3.82653	−	11.7769i	−0.210964	−	0.649279i
$330$	−8.06117	−	6.11649i	−0.443753	−	0.336702i
$331$	2.39289	−	7.36456i	0.131525	−	0.404793i	−0.863508	−	0.504335i	$-0.831738\pi$
$331$	2.39289	−	7.36456i	0.131525	−	0.404793i	0.995033	+	0.0995419i	$0.0317377\pi$
$332$	8.90113			0.488513
$333$	−2.79877	+	8.61374i	−0.153372	+	0.472030i
$334$	−15.4574	+	11.2305i	−0.845791	+	0.614503i
$335$	35.3603	+	0.734375i	1.93194	+	0.0401232i
$336$	−0.937960	−	0.681468i	−0.0511699	−	0.0371771i
$337$	−23.8769	+	17.3475i	−1.30065	+	0.944981i	−0.999962	−	0.00873984i	$-0.997218\pi$
$337$	−23.8769	+	17.3475i	−1.30065	+	0.944981i	−0.300693	+	0.953721i	$0.597218\pi$
$338$	−15.0679	+	10.9475i	−0.819587	+	0.595465i
$339$	14.4480	+	10.4971i	0.784707	+	0.570123i
$340$	0.251704	+	0.833146i	0.0136506	+	0.0451837i
$341$	−22.5864	+	16.4100i	−1.22312	+	0.888650i
$342$	0.528223	−	1.62570i	0.0285630	−	0.0879080i
$343$	13.2245			0.714058
$344$	−0.0248403	+	0.0764505i	−0.00133930	+	0.00412194i
$345$	−17.6669	−	0.366913i	−0.951155	−	0.0197539i
$346$	6.76230	+	20.8122i	0.363544	+	1.11887i
$347$	7.23553	+	22.2687i	0.388424	+	1.19544i	0.933966	+	0.357362i	$0.116324\pi$
$347$	7.23553	+	22.2687i	0.388424	+	1.19544i	−0.545543	+	0.838083i	$0.683676\pi$
$348$	−3.92445	−	2.85128i	−0.210373	−	0.152845i
$349$	−24.5615			−1.31475			−0.657374	−	0.753564i	$-0.728333\pi$
$349$	−24.5615			−1.31475			−0.657374	+	0.753564i	$0.728333\pi$
$350$	−5.09824	−	0.211856i	−0.272512	−	0.0113242i
$351$	30.0870			1.60593
$352$	−3.22261	−	2.34137i	−0.171766	−	0.124795i
$353$	−0.105971	−	0.326145i	−0.00564026	−	0.0173589i	0.948197	−	0.317684i	$-0.102905\pi$
$353$	−0.105971	−	0.326145i	−0.00564026	−	0.0173589i	−0.953837	+	0.300325i	$0.902905\pi$
$354$	1.25946	+	3.87620i	0.0669393	+	0.206018i
$355$	24.5114	−	17.0423i	1.30093	−	0.904513i
$356$	4.04734	−	12.4564i	0.214509	−	0.660189i
$357$	−0.451262			−0.0238833
$358$	5.03502	−	15.4962i	0.266109	−	0.819000i
$359$	−0.136942	+	0.0994943i	−0.00722753	+	0.00525111i	−0.591393	−	0.806383i	$-0.701422\pi$
$359$	−0.136942	+	0.0994943i	−0.00722753	+	0.00525111i	0.584166	+	0.811634i	$0.301422\pi$
$360$	−3.13825	+	2.18198i	−0.165401	+	0.115000i
$361$	−0.809017	−	0.587785i	−0.0425798	−	0.0309361i
$362$	−7.46159	+	5.42116i	−0.392172	+	0.284930i
$363$	4.47344	−	3.25015i	0.234795	−	0.170589i
$364$	4.64299	+	3.37333i	0.243359	+	0.176811i
$365$	−1.24717	+	3.58345i	−0.0652800	+	0.187566i
$366$	−0.567901	+	0.412604i	−0.0296847	+	0.0215672i
$367$	3.17543	−	9.77296i	0.165756	−	0.510145i	−0.833335	−	0.552768i	$-0.813572\pi$
$367$	3.17543	−	9.77296i	0.165756	−	0.510145i	0.999091	+	0.0426234i	$0.0135716\pi$
$368$	−6.95614			−0.362614
$369$	−1.44841	+	4.45775i	−0.0754013	+	0.232061i
$370$	−3.42640	−	11.3415i	−0.178130	−	0.589614i
$371$	1.00385	+	3.08954i	0.0521173	+	0.160401i
$372$	−2.46049	−	7.57262i	−0.127571	−	0.392622i
$373$	−8.85540	−	6.43383i	−0.458515	−	0.333131i	0.334433	−	0.942419i	$-0.391455\pi$
$373$	−8.85540	−	6.43383i	−0.458515	−	0.333131i	−0.792949	+	0.609288i	$0.791455\pi$
$374$	−1.55043			−0.0801710
$375$	4.66942	−	11.8121i	0.241128	−	0.609974i
$376$	12.1338			0.625755
$377$	19.4264	+	14.1141i	1.00051	+	0.726913i
$378$	−1.68722	−	5.19273i	−0.0867812	−	0.267085i
$379$	−2.81439	−	8.66179i	−0.144565	−	0.444926i	0.852390	−	0.522907i	$-0.175153\pi$
$379$	−2.81439	−	8.66179i	−0.144565	−	0.444926i	−0.996955	+	0.0779811i	$0.975153\pi$
$380$	0.646677	+	2.14052i	0.0331738	+	0.109806i
$381$	−0.988093	+	3.04104i	−0.0506215	+	0.155797i
$382$	−18.6891			−0.956218
$383$	−4.14265	+	12.7498i	−0.211679	+	0.651482i	0.787693	+	0.616068i	$0.211275\pi$
$383$	−4.14265	+	12.7498i	−0.211679	+	0.651482i	−0.999373	+	0.0354147i	$0.988725\pi$
$384$	0.919092	−	0.667760i	0.0469022	−	0.0340765i
$385$	2.98784	−	8.58485i	0.152275	−	0.437525i
$386$	15.7485	+	11.4420i	0.801580	+	0.582382i
$387$	−0.111165	+	0.0807659i	−0.00565082	+	0.00410556i
$388$	−11.8296	+	8.59473i	−0.600558	+	0.436331i
$389$	20.2441	+	14.7082i	1.02641	+	0.745734i	0.967588	−	0.252534i	$-0.0812641\pi$
$389$	20.2441	+	14.7082i	1.02641	+	0.745734i	0.0588267	+	0.998268i	$0.481264\pi$
$390$	−11.7292	+	8.15514i	−0.593933	+	0.412952i
$391$	−2.19042	+	1.59144i	−0.110774	+	0.0804824i
$392$	−1.84128	+	5.66689i	−0.0929989	+	0.286221i
$393$	18.1803			0.917073
$394$	−7.00423	+	21.5568i	−0.352868	+	1.08602i
$395$	2.82978	−	1.96750i	0.142382	−	0.0989957i
$396$	−2.10411	−	6.47578i	−0.105735	−	0.325420i
$397$	3.81882	+	11.7531i	0.191661	+	0.589872i	0.999999	+	0.00115358i	$0.000367196\pi$
$397$	3.81882	+	11.7531i	0.191661	+	0.589872i	−0.808338	+	0.588718i	$0.799633\pi$
$398$	−13.5467	−	9.84222i	−0.679032	−	0.493346i
$399$	−1.15938			−0.0580417
$400$	1.74119	−	4.68703i	0.0870593	−	0.234352i
$401$	−2.48849			−0.124269			−0.0621346	−	0.998068i	$-0.519791\pi$
$401$	−2.48849			−0.124269			−0.0621346	+	0.998068i	$0.519791\pi$
$402$	−14.5373	−	10.5620i	−0.725054	−	0.526783i
$403$	12.1797	+	37.4852i	0.606713	+	1.86727i
$404$	0.320831	+	0.987415i	0.0159619	+	0.0491258i
$405$	2.12374	+	0.0441066i	0.105529	+	0.00219167i
$406$	1.34656	−	4.14430i	0.0668288	−	0.205678i
$407$	21.1058			1.04617
$408$	0.136643	−	0.420543i	0.00676482	−	0.0208200i
$409$	15.4101	−	11.1961i	0.761979	−	0.553610i	−0.137538	−	0.990497i	$-0.543919\pi$
$409$	15.4101	−	11.1961i	0.761979	−	0.553610i	0.899517	+	0.436886i	$0.143919\pi$
$410$	−1.77322	−	5.86939i	−0.0875729	−	0.289868i
$411$	0.795185	+	0.577735i	0.0392236	+	0.0284976i
$412$	14.0470	−	10.2058i	0.692047	−	0.502801i
$413$	−2.96198	+	2.15200i	−0.145749	+	0.105893i
$414$	−9.61968	−	6.98911i	−0.472782	−	0.343496i
$415$	−19.8992	−	0.413275i	−0.976815	−	0.0202868i
$416$	−4.54960	+	3.30547i	−0.223062	+	0.162064i
$417$	−1.11277	+	3.42476i	−0.0544927	+	0.167711i
$418$	−3.98337			−0.194833
$419$	3.44206	−	10.5936i	0.168156	−	0.517530i	−0.831099	−	0.556124i	$-0.812288\pi$
$419$	3.44206	−	10.5936i	0.168156	−	0.517530i	0.999255	+	0.0385941i	$0.0122879\pi$
$420$	2.06525	+	1.56703i	0.100774	+	0.0764632i
$421$	−3.18892	−	9.81449i	−0.155419	−	0.478329i	0.842785	−	0.538251i	$-0.180915\pi$
$421$	−3.18892	−	9.81449i	−0.155419	−	0.478329i	−0.998203	+	0.0599220i	$0.980915\pi$
$422$	3.86286	+	11.8887i	0.188041	+	0.578730i
$423$	16.7800	+	12.1914i	0.815869	+	0.592764i
$424$	−3.18318			−0.154589
$425$	−0.524023	−	1.87426i	−0.0254189	−	0.0909147i
$426$	−15.1676			−0.734871
$427$	−0.510148	−	0.370644i	−0.0246878	−	0.0179367i
$428$	0.159908	+	0.492147i	0.00772945	+	0.0237888i
$429$	−7.86411	−	24.2033i	−0.379683	−	1.16854i
$430$	0.0590822	−	0.169758i	0.00284919	−	0.00818648i
$431$	−7.01144	+	21.5790i	−0.337729	+	1.03942i	0.627633	+	0.778510i	$0.284024\pi$
$431$	−7.01144	+	21.5790i	−0.337729	+	1.03942i	−0.965362	+	0.260914i	$0.915976\pi$
$432$	5.35013			0.257408
$433$	0.400452	−	1.23246i	0.0192445	−	0.0592285i	−0.940973	−	0.338481i	$-0.890087\pi$
$433$	0.400452	−	1.23246i	0.0192445	−	0.0592285i	0.960218	+	0.279253i	$0.0900868\pi$
$434$	5.78657	−	4.20419i	0.277764	−	0.201808i
$435$	8.64106	+	6.55649i	0.414307	+	0.314360i
$436$	10.5844	+	7.69000i	0.506900	+	0.368284i
$437$	−5.62763	+	4.08871i	−0.269206	+	0.195590i
$438$	1.55957	−	1.13309i	0.0745189	−	0.0541412i
$439$	1.53465	+	1.11499i	0.0732450	+	0.0532156i	0.623805	−	0.781580i	$-0.285586\pi$
$439$	1.53465	+	1.11499i	0.0732450	+	0.0532156i	−0.550560	+	0.834795i	$0.685586\pi$
$440$	7.09572	+	5.38395i	0.338275	+	0.256670i
$441$	−8.24008	+	5.98677i	−0.392385	+	0.285084i
$442$	−0.676394	+	2.08173i	−0.0321728	+	0.0990177i
$443$	−3.15749			−0.150017			−0.0750085	−	0.997183i	$-0.523898\pi$
$443$	−3.15749			−0.150017			−0.0750085	+	0.997183i	$0.523898\pi$
$444$	−1.86009	+	5.72477i	−0.0882760	+	0.271686i
$445$	−9.62652	+	27.6595i	−0.456341	+	1.31119i
$446$	6.80097	+	20.9312i	0.322035	+	0.991122i
$447$	6.20979	+	19.1118i	0.293713	+	0.903955i
$448$	0.825625	+	0.599851i	0.0390071	+	0.0283403i
$449$	24.2071			1.14240			0.571202	−	0.820810i	$-0.306477\pi$
$449$	24.2071			1.14240			0.571202	+	0.820810i	$0.306477\pi$
$450$	7.11715	−	4.73229i	0.335506	−	0.223082i
$451$	10.9226			0.514324
$452$	−12.7176	−	9.23989i	−0.598187	−	0.434608i
$453$	6.55453	+	20.1728i	0.307959	+	0.947800i
$454$	2.86705	+	8.82387i	0.134557	+	0.414125i
$455$	−10.2232	−	7.75694i	−0.479270	−	0.363651i
$456$	0.351062	−	1.08046i	0.0164400	−	0.0505971i
$457$	−6.61319			−0.309352			−0.154676	−	0.987965i	$-0.549433\pi$
$457$	−6.61319			−0.309352			−0.154676	+	0.987965i	$0.549433\pi$
$458$	−3.12690	+	9.62361i	−0.146110	+	0.449682i
$459$	1.68471	−	1.22401i	0.0786353	−	0.0571319i
$460$	15.5510	+	0.322970i	0.725071	+	0.0150585i
$461$	−13.1666	−	9.56608i	−0.613229	−	0.445537i	0.237321	−	0.971431i	$-0.423731\pi$
$461$	−13.1666	−	9.56608i	−0.613229	−	0.445537i	−0.850550	+	0.525894i	$0.823731\pi$
$462$	−3.73624	+	2.71454i	−0.173826	+	0.126292i
$463$	−2.90140	+	2.10799i	−0.134839	+	0.0979665i	−0.653160	−	0.757220i	$-0.726557\pi$
$463$	−2.90140	+	2.10799i	−0.134839	+	0.0979665i	0.518321	+	0.855186i	$0.326557\pi$
$464$	3.45444	+	2.50979i	0.160368	+	0.116514i
$465$	5.14905	+	17.0435i	0.238782	+	0.790373i
$466$	−20.9960	+	15.2545i	−0.972621	+	0.706651i
$467$	5.04594	−	15.5298i	0.233498	−	0.718634i	−0.763819	−	0.645431i	$-0.776678\pi$
$467$	5.04594	−	15.5298i	0.233498	−	0.718634i	0.997317	−	0.0732031i	$-0.0233221\pi$
$468$	−9.61281			−0.444352
$469$	4.98806	−	15.3517i	0.230327	−	0.708875i
$470$	−27.1262	−	0.563367i	−1.25124	−	0.0259862i
$471$	4.39252	+	13.5188i	0.202397	+	0.622913i
$472$	−1.10862	−	3.41197i	−0.0510282	−	0.157049i
$473$	0.259049	+	0.188210i	0.0119111	+	0.00865392i
$474$	−1.75106			−0.0804290
$475$	−1.34632	−	4.81533i	−0.0617734	−	0.220943i
$476$	0.397217			0.0182064
$477$	−4.40205	−	3.19827i	−0.201556	−	0.146439i
$478$	2.81003	+	8.64837i	0.128528	+	0.395567i
$479$	−5.56030	−	17.1129i	−0.254057	−	0.781906i	−0.994014	−	0.109252i	$-0.965154\pi$
$479$	−5.56030	−	17.1129i	−0.254057	−	0.781906i	0.739957	−	0.672654i	$-0.234846\pi$
$480$	−2.08571	+	1.45016i	−0.0951994	+	0.0661905i
$481$	9.20763	−	28.3382i	0.419832	−	1.29211i
$482$	21.6135			0.984470
$483$	−2.49217	+	7.67010i	−0.113397	+	0.349002i
$484$	−3.93768	+	2.86089i	−0.178986	+	0.130041i
$485$	26.8452	−	18.6650i	1.21898	−	0.847534i
$486$	12.1119	+	8.79982i	0.549408	+	0.399168i
$487$	−19.5076	+	14.1731i	−0.883972	+	0.642243i	−0.934299	−	0.356490i	$-0.883973\pi$
$487$	−19.5076	+	14.1731i	−0.883972	+	0.642243i	0.0503275	+	0.998733i	$0.483973\pi$
$488$	0.499886	−	0.363188i	0.0226288	−	0.0164408i
$489$	−1.92825	−	1.40096i	−0.0871987	−	0.0633536i
$490$	4.37946	−	12.5833i	0.197844	−	0.568457i
$491$	16.6900	−	12.1260i	0.753208	−	0.547238i	−0.143611	−	0.989634i	$-0.545871\pi$
$491$	16.6900	−	12.1260i	0.753208	−	0.547238i	0.896820	+	0.442396i	$0.145871\pi$
$492$	−0.962628	+	2.96266i	−0.0433986	+	0.133567i
$493$	1.66196			0.0748511
$494$	−1.73779	+	5.34837i	−0.0781869	+	0.240635i
$495$	4.40325	+	14.5749i	0.197911	+	0.655091i
$496$	2.16581	+	6.66569i	0.0972479	+	0.299298i
$497$	−4.21038	−	12.9582i	−0.188862	−	0.581256i
$498$	8.18096	+	5.94381i	0.366598	+	0.266349i
$499$	−22.0523			−0.987197			−0.493599	−	0.869690i	$-0.664319\pi$
$499$	−22.0523			−0.987197			−0.493599	+	0.869690i	$0.664319\pi$
$500$	−4.11019	+	10.3974i	−0.183813	+	0.464987i
$501$	−21.7060			−0.969754
$502$	6.81413	+	4.95075i	0.304129	+	0.220963i
$503$	−1.45206	−	4.46897i	−0.0647441	−	0.199262i	0.913452	−	0.406948i	$-0.133407\pi$
$503$	−1.45206	−	4.46897i	−0.0647441	−	0.199262i	−0.978196	+	0.207686i	$0.933407\pi$
$504$	0.539067	+	1.65908i	0.0240119	+	0.0739011i
$505$	−0.671399	−	2.22235i	−0.0298769	−	0.0988932i
$506$	−8.56251	+	26.3527i	−0.380650	+	1.17152i
$507$	−21.1591			−0.939709
$508$	0.869754	−	2.67683i	0.0385891	−	0.118765i
$509$	−9.63514	+	7.00034i	−0.427070	+	0.310284i	−0.780476	−	0.625185i	$-0.785023\pi$
$509$	−9.63514	+	7.00034i	−0.427070	+	0.310284i	0.353406	+	0.935470i	$0.385023\pi$
$510$	−0.325002	+	0.933816i	−0.0143913	+	0.0413500i
$511$	1.40096	+	1.01786i	0.0619750	+	0.0450275i
$512$	−0.809017	+	0.587785i	−0.0357538	+	0.0259767i
$513$	4.32834	−	3.14473i	0.191101	−	0.138843i
$514$	−5.77498	−	4.19577i	−0.254723	−	0.185067i
$515$	−31.8771	+	22.1636i	−1.40468	+	0.976647i
$516$	−0.0738811	+	0.0536778i	−0.00325243	+	0.00236303i
$517$	14.9359	−	45.9680i	0.656880	−	2.02167i
$518$	−5.40723			−0.237580
$519$	−7.68239	+	23.6440i	−0.337219	+	1.03785i
$520$	10.3245	−	7.17844i	0.452759	−	0.314795i
$521$	10.7772	+	33.1687i	0.472156	+	1.45315i	0.849755	+	0.527177i	$0.176750\pi$
$521$	10.7772	+	33.1687i	0.472156	+	1.45315i	−0.377599	+	0.925969i	$0.623250\pi$
$522$	2.25547	+	6.94162i	0.0987192	+	0.303826i
$523$	9.61479	+	6.98556i	0.420426	+	0.305457i	0.777809	−	0.628501i	$-0.216331\pi$
$523$	9.61479	+	6.98556i	0.420426	+	0.305457i	−0.357383	+	0.933958i	$0.616331\pi$
$524$	−16.0029			−0.699090
$525$	−4.54429	−	3.59912i	−0.198329	−	0.157078i
$526$	−17.2676			−0.752902
$527$	2.20698	+	1.60347i	0.0961376	+	0.0698481i
$528$	−1.39841	−	4.30386i	−0.0608580	−	0.187302i
$529$	7.84527	+	24.1452i	0.341099	+	1.04979i
$530$	7.11628	+	0.147794i	0.309112	+	0.00641974i
$531$	1.89503	−	5.83230i	0.0822373	−	0.253100i
$532$	1.02053			0.0442455
$533$	4.76510	−	14.6655i	0.206399	−	0.635232i
$534$	12.0378	−	8.74596i	0.520926	−	0.378475i
$535$	−0.334638	−	1.10766i	−0.0144677	−	0.0478884i
$536$	12.7962	+	9.29701i	0.552713	+	0.401570i
$537$	14.9754	−	10.8803i	0.646236	−	0.469518i
$538$	−15.9366	+	11.5786i	−0.687075	+	0.499189i
$539$	19.2020	+	13.9511i	0.827090	+	0.600916i
$540$	−11.9607	−	0.248403i	−0.514705	−	0.0106896i
$541$	−11.3833	+	8.27047i	−0.489408	+	0.355575i	−0.804956	−	0.593334i	$-0.797811\pi$
$541$	−11.3833	+	8.27047i	−0.489408	+	0.355575i	0.315549	+	0.948909i	$0.397811\pi$
$542$	5.37186	−	16.5329i	0.230741	−	0.710148i
$543$	−10.4779			−0.449651
$544$	−0.120278	+	0.370176i	−0.00515686	+	0.0158712i
$545$	−23.3052	−	17.6831i	−0.998287	−	0.757460i
$546$	2.01476	+	6.20080i	0.0862239	+	0.265370i
$547$	13.0964	+	40.3065i	0.559961	+	1.72338i	0.682468	+	0.730916i	$0.260907\pi$
$547$	13.0964	+	40.3065i	0.559961	+	1.72338i	−0.122507	+	0.992468i	$0.539093\pi$
$548$	−0.699949	−	0.508543i	−0.0299003	−	0.0217239i
$549$	1.05621			0.0450777
$550$	−15.6131	−	12.3657i	−0.665746	−	0.527277i
$551$	4.26992			0.181905
$552$	−6.39333	−	4.64503i	−0.272118	−	0.197705i
$553$	−0.486080	−	1.49600i	−0.0206702	−	0.0636164i
$554$	0.848894	+	2.61263i	0.0360660	+	0.111000i
$555$	4.42419	−	12.7119i	0.187796	−	0.539588i
$556$	0.979500	−	3.01459i	0.0415401	−	0.127847i
$557$	−34.9376			−1.48036			−0.740178	−	0.672411i	$-0.765259\pi$
$557$	−34.9376			−1.48036			−0.740178	+	0.672411i	$0.765259\pi$
$558$	−3.70217	+	11.3941i	−0.156725	+	0.482351i
$559$	0.365719	−	0.265710i	0.0154682	−	0.0112383i
$560$	−1.81790	−	1.37935i	−0.0768205	−	0.0582883i
$561$	−1.42499	−	1.03532i	−0.0601632	−	0.0437111i
$562$	6.91535	−	5.02430i	0.291707	−	0.211937i
$563$	9.05867	−	6.58151i	0.381777	−	0.277378i	−0.380300	−	0.924863i	$-0.624179\pi$
$563$	9.05867	−	6.58151i	0.381777	−	0.277378i	0.762078	+	0.647486i	$0.224179\pi$
$564$	11.1521	+	8.10249i	0.469589	+	0.341176i
$565$	28.0023	+	21.2470i	1.17807	+	0.893870i
$566$	−8.46648	+	6.15126i	−0.355873	+	0.258557i
$567$	0.299583	−	0.922022i	0.0125813	−	0.0387213i
$568$	13.3510			0.560196
$569$	2.44017	−	7.51007i	0.102297	−	0.314839i	−0.886789	−	0.462174i	$-0.847070\pi$
$569$	2.44017	−	7.51007i	0.102297	−	0.314839i	0.989087	+	0.147335i	$0.0470696\pi$
$570$	−0.834995	+	2.39916i	−0.0349741	+	0.100490i
$571$	0.819900	+	2.52339i	0.0343117	+	0.105601i	0.966746	−	0.255740i	$-0.0823191\pi$
$571$	0.819900	+	2.52339i	0.0343117	+	0.105601i	−0.932434	+	0.361341i	$0.882319\pi$
$572$	6.92226	+	21.3045i	0.289434	+	0.890788i
$573$	−17.1770	−	12.4798i	−0.717580	−	0.521353i
$574$	−2.79833			−0.116800
$575$	−34.7507	−	1.44405i	−1.44920	−	0.0602212i
$576$	−1.70937			−0.0712236
$577$	−24.4669	−	17.7762i	−1.01857	−	0.740034i	−0.0525799	−	0.998617i	$-0.516744\pi$
$577$	−24.4669	−	17.7762i	−1.01857	−	0.740034i	−0.965989	+	0.258583i	$0.916744\pi$
$578$	−5.20647	−	16.0239i	−0.216561	−	0.666505i
$579$	6.83387	+	21.0325i	0.284006	+	0.874081i
$580$	−7.60616	−	5.77125i	−0.315829	−	0.239638i
$581$	−2.80706	+	8.63926i	−0.116457	+	0.358417i
$582$	−16.6117			−0.688578
$583$	−3.91827	+	12.0592i	−0.162278	+	0.499441i
$584$	−1.37278	+	0.997385i	−0.0568062	+	0.0412721i
$585$	21.4903	+	0.446317i	0.888513	+	0.0184530i
$586$	3.33599	+	2.42374i	0.137809	+	0.100124i
$587$	11.7276	−	8.52058i	0.484049	−	0.351682i	−0.318842	−	0.947808i	$-0.603294\pi$
$587$	11.7276	−	8.52058i	0.484049	−	0.351682i	0.802891	+	0.596126i	$0.203294\pi$
$588$	−5.47643	+	3.97886i	−0.225844	+	0.164085i
$589$	5.67017	+	4.11962i	0.233635	+	0.169746i
$590$	2.31999	+	7.67922i	0.0955125	+	0.316149i
$591$	−20.8323	+	15.1355i	−0.856926	+	0.622593i
$592$	1.63732	−	5.03914i	0.0672933	−	0.207107i
$593$	5.58758			0.229455			0.114727	−	0.993397i	$-0.463401\pi$
$593$	5.58758			0.229455			0.114727	+	0.993397i	$0.463401\pi$
$594$	6.58563	−	20.2685i	0.270212	−	0.831626i
$595$	−0.888012	−	0.0184426i	−0.0364049	−	0.000756071i
$596$	−5.46607	−	16.8228i	−0.223899	−	0.689090i
$597$	−5.87839	−	18.0918i	−0.240586	−	0.740449i
$598$	31.6476	+	22.9933i	1.29417	+	0.940267i
$599$	−42.2509			−1.72632			−0.863162	−	0.504927i	$-0.831519\pi$
$599$	−42.2509			−1.72632			−0.863162	+	0.504927i	$0.831519\pi$
$600$	4.73012	−	3.14512i	0.193106	−	0.128399i
$601$	−26.9390			−1.09887			−0.549433	−	0.835538i	$-0.685156\pi$
$601$	−26.9390			−1.09887			−0.549433	+	0.835538i	$0.685156\pi$
$602$	−0.0663677	−	0.0482190i	−0.00270495	−	0.00196526i
$603$	8.35491	+	25.7138i	0.340238	+	1.04715i
$604$	−5.76953	−	17.7568i	−0.234759	−	0.722513i
$605$	8.93585	−	6.21295i	0.363294	−	0.252592i
$606$	−0.364483	+	1.12176i	−0.0148061	+	0.0455685i
$607$	14.0378			0.569775			0.284888	−	0.958561i	$-0.408044\pi$
$607$	14.0378			0.569775			0.284888	+	0.958561i	$0.408044\pi$
$608$	−0.309017	+	0.951057i	−0.0125323	+	0.0385704i
$609$	4.00501	−	2.90981i	0.162291	−	0.117911i
$610$	−1.13440	+	0.788730i	−0.0459305	+	0.0319347i
$611$	−55.2040	−	40.1081i	−2.23332	−	1.62260i
$612$	−0.538264	+	0.391072i	−0.0217580	+	0.0158081i
$613$	−36.9000	+	26.8094i	−1.49038	+	1.08282i	−0.516352	+	0.856376i	$0.672710\pi$
$613$	−36.9000	+	26.8094i	−1.49038	+	1.08282i	−0.974024	+	0.226445i	$0.927290\pi$
$614$	2.11564	+	1.53710i	0.0853801	+	0.0620323i
$615$	2.28959	−	6.57859i	0.0923253	−	0.265275i
$616$	3.28877	−	2.38943i	0.132508	−	0.0962729i
$617$	−10.7093	+	32.9599i	−0.431141	+	1.32692i	0.465849	+	0.884864i	$0.345749\pi$
$617$	−10.7093	+	32.9599i	−0.431141	+	1.32692i	−0.896990	+	0.442051i	$0.854251\pi$
$618$	19.7255			0.793476
$619$	−4.59640	+	14.1463i	−0.184745	+	0.568586i	−0.999944	−	0.0105948i	$-0.996627\pi$
$619$	−4.59640	+	14.1463i	−0.184745	+	0.568586i	0.815199	+	0.579181i	$0.196627\pi$
$620$	−4.53238	−	15.0023i	−0.182025	−	0.602506i
$621$	−11.5004	−	35.3947i	−0.461497	−	1.42034i
$622$	−4.47007	−	13.7575i	−0.179233	−	0.551624i
$623$	10.8136	+	7.85653i	0.433237	+	0.314765i
$624$	−6.38876			−0.255755
$625$	9.67143	−	23.0535i	0.386857	−	0.922140i
$626$	−10.6708			−0.426490
$627$	−3.66109	−	2.65993i	−0.146210	−	0.106228i
$628$	−3.86645	−	11.8997i	−0.154288	−	0.474850i
$629$	−0.637287	−	1.96137i	−0.0254103	−	0.0782048i
$630$	−1.12810	−	3.73404i	−0.0449446	−	0.148768i
$631$	2.62577	−	8.08129i	0.104530	−	0.321711i	−0.885090	−	0.465421i	$-0.845903\pi$
$631$	2.62577	−	8.08129i	0.104530	−	0.321711i	0.989620	+	0.143710i	$0.0459031\pi$
$632$	1.54135			0.0613115
$633$	−4.38844	+	13.5062i	−0.174425	+	0.536824i
$634$	8.56406	−	6.22216i	0.340122	−	0.247113i
$635$	−2.06869	+	5.94389i	−0.0820936	+	0.235876i
$636$	−2.92564	−	2.12560i	−0.116009	−	0.0842856i
$637$	27.1089	−	19.6957i	1.07409	−	0.780374i
$638$	13.7603	−	9.99744i	0.544775	−	0.395802i
$639$	18.4632	+	13.4143i	0.730393	+	0.530662i
$640$	1.83592	−	1.27648i	0.0725710	−	0.0504574i
$641$	28.9631	−	21.0429i	1.14397	−	0.831146i	0.156306	−	0.987709i	$-0.450041\pi$
$641$	28.9631	−	21.0429i	1.14397	−	0.831146i	0.987668	+	0.156563i	$0.0500414\pi$
$642$	−0.181665	+	0.559109i	−0.00716976	+	0.0220663i
$643$	12.3233			0.485983			0.242992	−	0.970028i	$-0.421871\pi$
$643$	12.3233			0.485983			0.242992	+	0.970028i	$0.421871\pi$
$644$	2.19369	−	6.75149i	0.0864435	−	0.266046i
$645$	0.167660	−	0.116571i	0.00660160	−	0.00458998i
$646$	0.120278	+	0.370176i	0.00473226	+	0.0145644i
$647$	4.62288	+	14.2278i	0.181744	+	0.559351i	0.999877	−	0.0156781i	$-0.00499070\pi$
$647$	4.62288	+	14.2278i	0.181744	+	0.559351i	−0.818133	+	0.575029i	$0.804991\pi$
$648$	0.768542	+	0.558378i	0.0301912	+	0.0219352i
$649$	−14.2906			−0.560954
$650$	−23.4146	+	15.5687i	−0.918395	+	0.610653i
$651$	8.12578			0.318474
$652$	1.69732	+	1.23317i	0.0664720	+	0.0482948i
$653$	12.5472	+	38.6165i	0.491012	+	1.51118i	0.823081	+	0.567924i	$0.192253\pi$
$653$	12.5472	+	38.6165i	0.491012	+	1.51118i	−0.332069	+	0.943255i	$0.607747\pi$
$654$	4.59295	+	14.1356i	0.179599	+	0.552747i
$655$	35.7759	+	0.743006i	1.39788	+	0.0290316i
$656$	0.847338	−	2.60784i	0.0330830	−	0.101819i
$657$	−2.90054			−0.113161
$658$	−3.82653	+	11.7769i	−0.149174	+	0.459110i
$659$	−8.56617	+	6.22369i	−0.333691	+	0.242440i	−0.741995	−	0.670405i	$-0.766120\pi$
$659$	−8.56617	+	6.22369i	−0.333691	+	0.242440i	0.408304	+	0.912846i	$0.366120\pi$
$660$	2.92644	+	9.68659i	0.113912	+	0.377050i
$661$	−11.6376	−	8.45522i	−0.452651	−	0.328870i	0.337991	−	0.941149i	$-0.390253\pi$
$661$	−11.6376	−	8.45522i	−0.452651	−	0.328870i	−0.790641	+	0.612279i	$0.790253\pi$
$662$	−6.26467	+	4.55155i	−0.243483	+	0.176901i
$663$	−2.01176	+	1.46163i	−0.0781304	+	0.0567651i
$664$	−7.20116	−	5.23195i	−0.279459	−	0.203039i
$665$	−2.28148	−	0.0473826i	−0.0884719	−	0.00183742i
$666$	7.32728	−	5.32358i	0.283926	−	0.206285i
$667$	9.17846	−	28.2484i	0.355391	−	1.09378i
$668$	19.1064			0.739248
$669$	−7.72631	+	23.7791i	−0.298716	+	0.919355i
$670$	−28.1754	−	21.3784i	−1.08851	−	0.825919i
$671$	−0.760583	−	2.34083i	−0.0293620	−	0.0903668i
$672$	0.358269	+	1.10264i	0.0138205	+	0.0425352i
$673$	4.11543	+	2.99004i	0.158638	+	0.115257i	0.664273	−	0.747490i	$-0.268741\pi$
$673$	4.11543	+	2.99004i	0.158638	+	0.115257i	−0.505634	+	0.862748i	$0.668741\pi$
$674$	29.5134			1.13681
$675$	26.7276	+	1.11065i	1.02874	+	0.0427491i
$676$	18.6250			0.716345
$677$	−13.2664	−	9.63858i	−0.509868	−	0.370441i	0.302906	−	0.953021i	$-0.402043\pi$
$677$	−13.2664	−	9.63858i	−0.509868	−	0.370441i	−0.812773	+	0.582580i	$0.802043\pi$
$678$	−5.51864	−	16.9846i	−0.211942	−	0.652291i
$679$	−4.61127	−	14.1920i	−0.176964	−	0.544640i
$680$	0.286078	−	0.821977i	0.0109706	−	0.0315214i
$681$	−3.25714	+	10.0245i	−0.124814	+	0.384138i
$682$	27.9183			1.06905
$683$	13.5898	−	41.8253i	0.520001	−	1.60040i	−0.253993	−	0.967206i	$-0.581744\pi$
$683$	13.5898	−	41.8253i	0.520001	−	1.60040i	0.773994	−	0.633193i	$-0.218256\pi$
$684$	−1.38291	+	1.00474i	−0.0528767	+	0.0384172i
$685$	1.54118	+	1.16939i	0.0588856	+	0.0446801i
$686$	−10.6989	−	7.77319i	−0.408485	−	0.296782i
$687$	−9.30017	+	6.75697i	−0.354824	+	0.257794i
$688$	0.0650327	−	0.0472490i	0.00247935	−	0.00180135i
$689$	14.4822	+	10.5219i	0.551728	+	0.400854i
$690$	14.0772	+	10.6812i	0.535909	+	0.406626i
$691$	−36.8217	+	26.7526i	−1.40077	+	1.01772i	−0.406180	+	0.913793i	$0.633139\pi$
$691$	−36.8217	+	26.7526i	−1.40077	+	1.01772i	−0.994585	+	0.103922i	$0.966861\pi$
$692$	6.76230	−	20.8122i	0.257064	−	0.791162i
$693$	6.94882			0.263964
$694$	7.23553	−	22.2687i	0.274657	−	0.845307i
$695$	−2.32972	+	6.69390i	−0.0883714	+	0.253914i
$696$	1.49901	+	4.61347i	0.0568197	+	0.174873i
$697$	−0.329807	−	1.01504i	−0.0124923	−	0.0384474i
$698$	19.8707	+	14.4369i	0.752117	+	0.546445i
$699$	−29.4836			−1.11517
$700$	4.00004	+	3.16807i	0.151187	+	0.119742i
$701$	45.7486			1.72790			0.863950	−	0.503578i	$-0.167983\pi$
$701$	45.7486			1.72790			0.863950	+	0.503578i	$0.167983\pi$
$702$	−24.3409	−	17.6847i	−0.918688	−	0.667466i
$703$	−1.63732	−	5.03914i	−0.0617526	−	0.190055i
$704$	1.23093	+	3.78841i	0.0463924	+	0.142781i
$705$	−24.5553	−	18.6316i	−0.924807	−	0.701706i
$706$	−0.105971	+	0.326145i	−0.00398827	+	0.0122746i
$707$	−1.05954			−0.0398482
$708$	1.25946	−	3.87620i	0.0473332	−	0.145677i
$709$	−23.0116	+	16.7189i	−0.864221	+	0.627893i	−0.929030	−	0.370005i	$-0.879356\pi$
$709$	−23.0116	+	16.7189i	−0.864221	+	0.627893i	0.0648094	+	0.997898i	$0.479356\pi$
$710$	−29.8473	−	0.619880i	−1.12015	−	0.0232637i
$711$	2.13154	+	1.54865i	0.0799389	+	0.0580790i
$712$	−10.5961	+	7.69850i	−0.397105	+	0.288513i
$713$	39.4425	−	28.6566i	1.47713	−	1.07320i
$714$	0.365079	+	0.265245i	0.0136627	+	0.00992656i
$715$	−14.4862	−	47.9495i	−0.541752	−	1.79321i
$716$	−13.1819	+	9.57718i	−0.492629	+	0.357916i
$717$	−3.19236	+	9.82507i	−0.119221	+	0.366924i
$718$	0.169270			0.00631709
$719$	9.61799	−	29.6011i	0.358691	−	1.10394i	−0.595148	−	0.803616i	$-0.702907\pi$
$719$	9.61799	−	29.6011i	0.358691	−	1.10394i	0.953839	−	0.300320i	$-0.0970934\pi$
$720$	3.82143	+	0.0793649i	0.142416	+	0.00295776i
$721$	5.47563	+	16.8522i	0.203923	+	0.627610i
$722$	0.309017	+	0.951057i	0.0115004	+	0.0353947i
$723$	19.8648	+	14.4327i	0.738781	+	0.536756i
$724$	9.22303			0.342771
$725$	16.7363	+	13.2553i	0.621569	+	0.492288i
$726$	−5.52948			−0.205218
$727$	−24.8360	−	18.0444i	−0.921118	−	0.669231i	0.0226844	−	0.999743i	$-0.492779\pi$
$727$	−24.8360	−	18.0444i	−0.921118	−	0.669231i	−0.943802	+	0.330512i	$0.892779\pi$
$728$	−1.77346	−	5.45816i	−0.0657290	−	0.202293i
$729$	6.13647	+	18.8861i	0.227277	+	0.699486i
$730$	3.11528	−	2.16600i	0.115302	−	0.0801674i
$731$	0.00966850	−	0.0297566i	0.000357602	−	0.00110059i
$732$	0.701964			0.0259453
$733$	15.3089	−	47.1158i	0.565445	−	1.74026i	−0.101179	−	0.994868i	$-0.532262\pi$
$733$	15.3089	−	47.1158i	0.565445	−	1.74026i	0.666625	−	0.745394i	$-0.267738\pi$
$734$	−8.31338	+	6.04002i	−0.306852	+	0.222941i
$735$	12.4278	−	8.64082i	0.458405	−	0.318721i
$736$	5.62763	+	4.08871i	0.207437	+	0.150712i
$737$	50.9721	−	37.0334i	1.87758	−	1.36414i
$738$	3.79199	−	2.75504i	0.139585	−	0.101414i
$739$	37.0519	+	26.9198i	1.36298	+	0.990260i	0.998249	+	0.0591454i	$0.0188376\pi$
$739$	37.0519	+	26.9198i	1.36298	+	0.990260i	0.364727	+	0.931115i	$0.381162\pi$
$740$	−3.89433	+	11.1894i	−0.143158	+	0.411331i
$741$	−5.16862	+	3.75522i	−0.189874	+	0.137951i
$742$	1.00385	−	3.08954i	0.0368525	−	0.113420i
$743$	49.5875			1.81919			0.909595	−	0.415497i	$-0.136392\pi$
$743$	49.5875			1.81919			0.909595	+	0.415497i	$0.136392\pi$
$744$	−2.46049	+	7.57262i	−0.0902061	+	0.277626i
$745$	11.4388	+	37.8627i	0.419085	+	1.38718i
$746$	3.38246	+	10.4102i	0.123841	+	0.381143i
$747$	−4.70178	−	14.4706i	−0.172029	−	0.529451i
$748$	1.25433	+	0.911322i	0.0458627	+	0.0333212i
$749$	−0.528097			−0.0192962
$750$	−10.7206	+	6.81157i	−0.391462	+	0.248723i
$751$	41.1580			1.50188			0.750938	−	0.660373i	$-0.229602\pi$
$751$	41.1580			1.50188			0.750938	+	0.660373i	$0.229602\pi$
$752$	−9.81648	−	7.13209i	−0.357970	−	0.260081i
$753$	2.95690	+	9.10040i	0.107755	+	0.331637i
$754$	−7.42022	−	22.8371i	−0.270229	−	0.831678i
$755$	12.0738	+	39.9647i	0.439412	+	1.45446i
$756$	−1.68722	+	5.19273i	−0.0613636	+	0.188858i
$757$	41.6980			1.51554			0.757770	−	0.652522i	$-0.226289\pi$
$757$	41.6980			1.51554			0.757770	+	0.652522i	$0.226289\pi$
$758$	−2.81439	+	8.66179i	−0.102223	+	0.314610i
$759$	−25.4670	+	18.5029i	−0.924394	+	0.671611i
$760$	0.734991	−	2.11182i	0.0266609	−	0.0766038i
$761$	−14.1615	−	10.2889i	−0.513352	−	0.372972i	0.300742	−	0.953706i	$-0.402766\pi$
$761$	−14.1615	−	10.2889i	−0.513352	−	0.372972i	−0.814094	+	0.580733i	$0.802766\pi$
$762$	2.58686	−	1.87946i	0.0937121	−	0.0680858i
$763$	−10.8017	+	7.84786i	−0.391046	+	0.284112i
$764$	15.1198	+	10.9852i	0.547015	+	0.397430i
$765$	1.22149	−	0.849283i	0.0441631	−	0.0307059i
$766$	10.8456	−	7.87979i	0.391867	−	0.284708i
$767$	−6.23442	+	19.1876i	−0.225112	+	0.692823i
$768$	−1.13606			−0.0409941
$769$	6.92528	−	21.3138i	0.249732	−	0.768596i	−0.745090	−	0.666964i	$-0.767594\pi$
$769$	6.92528	−	21.3138i	0.249732	−	0.768596i	0.994822	−	0.101632i	$-0.0324065\pi$
$770$	−7.46327	+	5.18908i	−0.268957	+	0.187002i
$771$	−2.50597	−	7.71260i	−0.0902505	−	0.277762i
$772$	−6.01541	−	18.5135i	−0.216499	−	0.666316i
$773$	−3.50056	−	2.54330i	−0.125906	−	0.0914763i	0.523050	−	0.852302i	$-0.324794\pi$
$773$	−3.50056	−	2.54330i	−0.125906	−	0.0914763i	−0.648956	+	0.760826i	$0.724794\pi$
$774$	0.137407			0.00493900
$775$	9.43597	+	33.7493i	0.338950	+	1.21231i
$776$	14.6222			0.524907
$777$	−4.96975	−	3.61073i	−0.178289	−	0.129534i
$778$	−7.73254	−	23.7983i	−0.277225	−	0.853211i
$779$	−0.847338	−	2.60784i	−0.0303590	−	0.0934355i
$780$	14.2826	+	0.296627i	0.511400	+	0.0106209i
$781$	16.4342	−	50.5791i	0.588060	−	1.80986i
$782$	2.70751			0.0968204
$783$	−7.05937	+	21.7265i	−0.252281	+	0.776442i
$784$	4.82055	−	3.50233i	0.172162	−	0.125083i
$785$	8.09128	+	26.7823i	0.288790	+	0.955903i
$786$	−14.7081	−	10.6861i	−0.524622	−	0.381160i
$787$	−5.26529	+	3.82546i	−0.187687	+	0.136363i	−0.677661	−	0.735374i	$-0.737006\pi$
$787$	−5.26529	+	3.82546i	−0.187687	+	0.136363i	0.489974	+	0.871737i	$0.337006\pi$
$788$	18.3373	−	13.3228i	0.653239	−	0.474606i
$789$	−15.8705	−	11.5306i	−0.565004	−	0.410500i
$790$	−3.44581	−	0.0715639i	−0.122596	−	0.00254613i
$791$	12.9787	−	9.42957i	0.461469	−	0.335277i
$792$	−2.10411	+	6.47578i	−0.0747662	+	0.230107i
$793$	−3.47479			−0.123393
$794$	3.81882	−	11.7531i	0.135525	−	0.417102i
$795$	6.44183	+	4.88780i	0.228468	+	0.173352i
$796$	5.17436	+	15.9250i	0.183400	+	0.564448i
$797$	−5.00889	−	15.4158i	−0.177424	−	0.546055i	0.822312	−	0.569037i	$-0.192684\pi$
$797$	−5.00889	−	15.4158i	−0.177424	−	0.546055i	−0.999736	+	0.0229822i	$0.992684\pi$
$798$	0.937960	+	0.681468i	0.0332034	+	0.0241237i
$799$	−4.72281			−0.167081
$800$	−4.16362	+	2.76844i	−0.147206	+	0.0978793i
$801$	−22.3884			−0.791054
$802$	2.01323	+	1.46270i	0.0710896	+	0.0516496i
$803$	2.08871	+	6.42838i	0.0737089	+	0.226853i
$804$	5.55275	+	17.0896i	0.195831	+	0.602704i
$805$	−5.21765	+	14.9917i	−0.183898	+	0.528387i
$806$	12.1797	−	37.4852i	0.429011	−	1.32036i
$807$	−22.3789			−0.787776
$808$	0.320831	−	0.987415i	0.0112868	−	0.0347372i
$809$	10.3192	−	7.49734i	0.362804	−	0.263593i	−0.391417	−	0.920214i	$-0.628015\pi$
$809$	10.3192	−	7.49734i	0.362804	−	0.263593i	0.754221	+	0.656621i	$0.228015\pi$
$810$	−1.69222	−	1.28399i	−0.0594584	−	0.0451147i
$811$	−4.95782	−	3.60207i	−0.174093	−	0.126486i	0.497327	−	0.867563i	$-0.334315\pi$
$811$	−4.95782	−	3.60207i	−0.174093	−	0.126486i	−0.671419	+	0.741078i	$0.734315\pi$
$812$	−3.52535	+	2.56132i	−0.123715	+	0.0898846i
$813$	15.9772	−	11.6081i	0.560346	−	0.407115i
$814$	−17.0749	−	12.4057i	−0.598475	−	0.434818i
$815$	−3.73724	−	2.83567i	−0.130910	−	0.0993291i
$816$	−0.357735	+	0.259910i	−0.0125232	+	0.00909866i
$817$	0.0248403	−	0.0764505i	0.000869052	−	0.00267467i
$818$	−19.0479			−0.665994
$819$	3.03150	−	9.33000i	0.105929	−	0.326017i
$820$	−2.01538	+	5.79071i	−0.0703801	+	0.202220i
$821$	−14.2864	−	43.9690i	−0.498599	−	1.53453i	−0.811272	−	0.584669i	$-0.801224\pi$
$821$	−14.2864	−	43.9690i	−0.498599	−	1.53453i	0.312673	−	0.949861i	$-0.398776\pi$
$822$	−0.303734	−	0.934796i	−0.0105939	−	0.0326047i
$823$	11.1432	+	8.09598i	0.388426	+	0.282208i	0.764810	−	0.644256i	$-0.222833\pi$
$823$	11.1432	+	8.09598i	0.388426	+	0.282208i	−0.376384	+	0.926464i	$0.622833\pi$
$824$	−17.3631			−0.604871
$825$	−6.09257	−	21.7911i	−0.212116	−	0.758668i
$826$	3.66120			0.127390
$827$	−10.4939	−	7.62429i	−0.364910	−	0.265123i	0.390187	−	0.920736i	$-0.372410\pi$
$827$	−10.4939	−	7.62429i	−0.364910	−	0.265123i	−0.755097	+	0.655613i	$0.772410\pi$
$828$	3.67439	+	11.3086i	0.127694	+	0.393002i
$829$	13.8261	+	42.5524i	0.480200	+	1.47790i	0.838814	+	0.544418i	$0.183250\pi$
$829$	13.8261	+	42.5524i	0.480200	+	1.47790i	−0.358613	+	0.933486i	$0.616750\pi$
$830$	15.8559	+	12.0308i	0.550366	+	0.417596i
$831$	−0.964395	+	2.96810i	−0.0334545	+	0.102962i
$832$	5.62361			0.194964
$833$	0.716677	−	2.20570i	0.0248314	−	0.0764231i
$834$	2.91327	−	2.11662i	0.100878	−	0.0732925i
$835$	−42.7140	−	0.887099i	−1.47818	−	0.0306993i
$836$	3.22261	+	2.34137i	0.111456	+	0.0809779i
$837$	−30.3361	+	22.0405i	−1.04857	+	0.761831i
$838$	−9.01143	+	6.54719i	−0.311295	+	0.226169i
$839$	−44.8476	−	32.5837i	−1.54831	−	1.12491i	−0.944841	−	0.327529i	$-0.893784\pi$
$839$	−44.8476	−	32.5837i	−1.54831	−	1.12491i	−0.603470	−	0.797385i	$-0.706216\pi$
$840$	−0.749746	−	2.48168i	−0.0258687	−	0.0856260i
$841$	8.71134	−	6.32916i	0.300391	−	0.218247i
$842$	−3.18892	+	9.81449i	−0.109898	+	0.338230i
$843$	9.71087			0.334460
$844$	3.86286	−	11.8887i	0.132965	−	0.409224i
$845$	−41.6377	−	0.864748i	−1.43238	−	0.0297482i
$846$	−6.40937	−	19.7260i	−0.220359	−	0.678195i
$847$	−1.53494	−	4.72405i	−0.0527410	−	0.162320i
$848$	2.57525	+	1.87103i	0.0884345	+	0.0642514i
$849$	−11.8890			−0.408031
$850$	−0.677716	+	1.82432i	−0.0232455	+	0.0625736i
$851$	−36.8568			−1.26344
$852$	12.2708	+	8.91527i	0.420391	+	0.305432i
$853$	−3.64441	−	11.2163i	−0.124782	−	0.384040i	0.869079	−	0.494673i	$-0.164712\pi$
$853$	−3.64441	−	11.2163i	−0.124782	−	0.384040i	−0.993861	+	0.110633i	$0.964712\pi$
$854$	0.194859	+	0.599715i	0.00666794	+	0.0205218i
$855$	3.13825	−	2.18198i	0.107326	−	0.0746220i
$856$	0.159908	−	0.492147i	0.00546555	−	0.0168212i
$857$	−41.8430			−1.42933			−0.714664	−	0.699468i	$-0.753420\pi$
$857$	−41.8430			−1.42933			−0.714664	+	0.699468i	$0.753420\pi$
$858$	−7.86411	+	24.2033i	−0.268476	+	0.826285i
$859$	1.06566	−	0.774250i	0.0363600	−	0.0264171i	−0.569457	−	0.822021i	$-0.692846\pi$
$859$	1.06566	−	0.774250i	0.0363600	−	0.0264171i	0.605817	+	0.795604i	$0.292846\pi$
$860$	−0.147580	+	0.102610i	−0.00503244	+	0.00349897i
$861$	−2.57193	−	1.86861i	−0.0876510	−	0.0636822i
$862$	18.3562	−	13.3366i	0.625214	−	0.454245i
$863$	−5.69011	+	4.13410i	−0.193693	+	0.140727i	−0.680405	−	0.732836i	$-0.738196\pi$
$863$	−5.69011	+	4.13410i	−0.193693	+	0.140727i	0.486712	+	0.873563i	$0.338196\pi$
$864$	−4.32834	−	3.14473i	−0.147253	−	0.106986i
$865$	−16.0840	+	46.2136i	−0.546873	+	1.57131i
$866$	−1.04840	+	0.761705i	−0.0356260	+	0.0258838i
$867$	5.91487	−	18.2041i	0.200880	−	0.618244i
$868$	−7.15259			−0.242775
$869$	1.89729	−	5.83925i	0.0643611	−	0.198083i
$870$	−3.13696	−	10.3834i	−0.106353	−	0.352030i
$871$	−27.4867	−	84.5952i	−0.931350	−	2.86640i
$872$	−4.04287	−	12.4427i	−0.136909	−	0.421362i
$873$	20.2212	+	14.6915i	0.684382	+	0.497233i
$874$	6.95614			0.235295
$875$	−8.79534	−	7.26820i	−0.297337	−	0.245710i
$876$	−1.92773			−0.0651319
$877$	42.9352	+	31.1943i	1.44982	+	1.05336i	0.985873	+	0.167492i	$0.0535670\pi$
$877$	42.9352	+	31.1943i	1.44982	+	1.05336i	0.463946	+	0.885863i	$0.346433\pi$
$878$	−0.586185	−	1.80409i	−0.0197828	−	0.0608852i
$879$	1.44761	+	4.45528i	0.0488267	+	0.150273i
$880$	−2.57595	−	8.52647i	−0.0868354	−	0.287427i
$881$	9.52476	−	29.3142i	0.320897	−	0.987620i	−0.652361	−	0.757908i	$-0.726222\pi$
$881$	9.52476	−	29.3142i	0.320897	−	0.987620i	0.973259	−	0.229712i	$-0.0737784\pi$
$882$	10.1853			0.342957
$883$	−0.107313	+	0.330275i	−0.00361136	+	0.0111146i	−0.952846	−	0.303454i	$-0.901860\pi$
$883$	−0.107313	+	0.330275i	−0.00361136	+	0.0111146i	0.949235	+	0.314569i	$0.101860\pi$
$884$	1.77082	−	1.28658i	0.0595592	−	0.0432723i
$885$	−2.99559	+	8.60711i	−0.100696	+	0.289325i
$886$	2.55447	+	1.85593i	0.0858189	+	0.0623511i
$887$	−37.8822	+	27.5230i	−1.27196	+	0.924133i	−0.999279	−	0.0379716i	$-0.987910\pi$
$887$	−37.8822	+	27.5230i	−1.27196	+	0.924133i	−0.272681	+	0.962105i	$0.587910\pi$
$888$	4.86978	−	3.53810i	0.163419	−	0.118731i
$889$	2.32379	+	1.68833i	0.0779374	+	0.0566248i
$890$	24.0459	−	16.7187i	0.806019	−	0.560411i
$891$	3.06139	−	2.22423i	0.102560	−	0.0745144i
$892$	6.80097	−	20.9312i	0.227713	−	0.700829i
$893$	−12.1338			−0.406043
$894$	6.20979	−	19.1118i	0.207686	−	0.639193i
$895$	29.9138	−	20.7986i	0.999909	−	0.695220i
$896$	−0.315361	−	0.970580i	−0.0105355	−	0.0324248i
$897$	13.7331	+	42.2660i	0.458533	+	1.41122i
$898$	−19.5839	−	14.2286i	−0.653525	−	0.474814i
$899$	−29.9266			−0.998109
$900$	−8.53946	−	0.354854i	−0.284649	−	0.0118285i
$901$	1.23898			0.0412764
$902$	−8.83655	−	6.42013i	−0.294225	−	0.213767i
$903$	−0.0287994	−	0.0886354i	−0.000958384	−	0.00294960i
$904$	4.85770	+	14.9505i	0.161565	+	0.497245i
$905$	−20.6189	−	0.428220i	−0.685394	−	0.0142345i
$906$	6.55453	−	20.1728i	0.217760	−	0.670196i
$907$	13.6930			0.454669			0.227335	−	0.973817i	$-0.426999\pi$
$907$	13.6930			0.454669			0.227335	+	0.973817i	$0.426999\pi$
$908$	2.86705	−	8.82387i	0.0951464	−	0.292830i
$909$	1.43577	−	1.04315i	0.0476216	−	0.0345991i
$910$	3.71131	+	12.2845i	0.123029	+	0.407228i
$911$	35.6137	+	25.8748i	1.17993	+	0.857272i	0.992164	−	0.124941i	$-0.0398742\pi$
$911$	35.6137	+	25.8748i	1.17993	+	0.857272i	0.187769	+	0.982213i	$0.439874\pi$
$912$	−0.919092	+	0.667760i	−0.0304342	+	0.0221117i
$913$	−28.6849	+	20.8408i	−0.949332	+	0.689730i
$914$	5.35018	+	3.88713i	0.176968	+	0.128575i
$915$	−1.56930	−	0.0325918i	−0.0518795	−	0.00107745i
$916$	8.18633	−	5.94772i	0.270484	−	0.196518i
$917$	5.04668	−	15.5321i	0.166656	−	0.512915i
$918$	−2.08241			−0.0687298
$919$	6.64361	−	20.4469i	0.219153	−	0.674482i	−0.779680	−	0.626178i	$-0.784618\pi$
$919$	6.64361	−	20.4469i	0.219153	−	0.674482i	0.998833	−	0.0483041i	$-0.0153817\pi$
$920$	−12.3912	−	9.40196i	−0.408526	−	0.309973i
$921$	0.918052	+	2.82547i	0.0302508	+	0.0931025i
$922$	5.02919	+	15.4782i	0.165627	+	0.509749i
$923$	−60.7417	−	44.1314i	−1.99934	−	1.45260i
$924$	4.61825			0.151929
$925$	9.22562	−	24.8341i	0.303336	−	0.816540i
$926$	3.58632			0.117854
$927$	−24.0115	−	17.4454i	−0.788641	−	0.572981i
$928$	−1.31948	−	4.06093i	−0.0433139	−	0.133307i
$929$	−11.6897	−	35.9770i	−0.383525	−	1.18037i	−0.937545	−	0.347865i	$-0.886907\pi$
$929$	−11.6897	−	35.9770i	−0.383525	−	1.18037i	0.554020	−	0.832504i	$-0.313093\pi$
$930$	5.85224	−	16.8150i	0.191903	−	0.551386i
$931$	1.84128	−	5.66689i	0.0603457	−	0.185725i
$932$	25.9525			0.850102
$933$	5.07827	−	15.6293i	0.166255	−	0.511681i
$934$	−13.2104	+	9.59795i	−0.432259	+	0.314055i
$935$	−2.76184	−	2.09558i	−0.0903220	−	0.0685327i
$936$	7.77692	+	5.65027i	0.254197	+	0.184685i
$937$	−20.7644	+	15.0863i	−0.678345	+	0.492846i	−0.872808	−	0.488063i	$-0.837703\pi$
$937$	−20.7644	+	15.0863i	−0.678345	+	0.492846i	0.194463	+	0.980910i	$0.437703\pi$
$938$	−13.0589	+	9.48786i	−0.426389	+	0.309790i
$939$	−9.80744	−	7.12552i	−0.320054	−	0.232533i
$940$	21.6144	+	16.4002i	0.704985	+	0.534915i
$941$	26.9483	−	19.5791i	0.878490	−	0.638260i	−0.0543618	−	0.998521i	$-0.517312\pi$
$941$	26.9483	−	19.5791i	0.878490	−	0.638260i	0.932851	+	0.360261i	$0.117312\pi$
$942$	4.39252	−	13.5188i	0.143116	−	0.440466i
$943$	−19.0740			−0.621136
$944$	−1.10862	+	3.41197i	−0.0360824	+	0.111050i
$945$	4.01302	−	11.5304i	0.130543	−	0.375085i
$946$	−0.0989481	−	0.304531i	−0.00321708	−	0.00990115i
$947$	8.49685	+	26.1506i	0.276111	+	0.849781i	0.988923	+	0.148427i	$0.0474209\pi$
$947$	8.49685	+	26.1506i	0.276111	+	0.849781i	−0.712813	+	0.701354i	$0.752579\pi$
$948$	1.41664	+	1.02925i	0.0460103	+	0.0334285i
$949$	9.54244			0.309761
$950$	−1.74119	+	4.68703i	−0.0564915	+	0.152067i
$951$	12.0261			0.389972
$952$	−0.321355	−	0.233478i	−0.0104152	−	0.00756707i
$953$	−1.10148	−	3.39001i	−0.0356804	−	0.109813i	0.931630	−	0.363408i	$-0.118387\pi$
$953$	−1.10148	−	3.39001i	−0.0356804	−	0.109813i	−0.967310	+	0.253595i	$0.918387\pi$
$954$	1.68143	+	5.17491i	0.0544384	+	0.167544i
$955$	−33.2916	−	25.2603i	−1.07729	−	0.817405i
$956$	2.81003	−	8.64837i	0.0908827	−	0.279708i
$957$	19.3229			0.624620
$958$	−5.56030	+	17.1129i	−0.179645	+	0.552891i
$959$	0.714318	−	0.518982i	0.0230665	−	0.0167588i
$960$	2.53976	+	0.0527467i	0.0819704	+	0.00170239i
$961$	−14.6611	−	10.6519i	−0.472939	−	0.343610i
$962$	−24.1059	+	17.5139i	−0.777205	+	0.564672i
$963$	0.715618	−	0.519927i	0.0230605	−	0.0167544i
$964$	−17.4857	−	12.7041i	−0.563177	−	0.409172i
$965$	12.5884	+	41.6679i	0.405235	+	1.34134i
$966$	6.52458	−	4.74038i	0.209925	−	0.152519i
$967$	16.2096	−	49.8879i	0.521265	−	1.60429i	−0.250322	−	0.968163i	$-0.580536\pi$
$967$	16.2096	−	49.8879i	0.521265	−	1.60429i	0.771586	−	0.636125i	$-0.219464\pi$
$968$	4.86724			0.156439
$969$	−0.136643	+	0.420543i	−0.00438960	+	0.0135098i
$970$	−32.6892	−	0.678902i	−1.04959	−	0.0217982i
$971$	3.26737	+	10.0559i	0.104855	+	0.322710i	0.989696	−	0.143182i	$-0.0457335\pi$
$971$	3.26737	+	10.0559i	0.104855	+	0.322710i	−0.884842	+	0.465892i	$0.845734\pi$
$972$	−4.62634	−	14.2384i	−0.148390	−	0.456697i
$973$	2.61701	+	1.90137i	0.0838974	+	0.0609550i
$974$	24.1127			0.772620
$975$	−31.9163	−	1.32627i	−1.02214	−	0.0424746i
$976$	−0.617893			−0.0197783
$977$	10.9638	+	7.96567i	0.350763	+	0.254844i	0.749189	−	0.662356i	$-0.230443\pi$
$977$	10.9638	+	7.96567i	0.350763	+	0.254844i	−0.398426	+	0.917201i	$0.630443\pi$
$978$	0.736528	+	2.26680i	0.0235516	+	0.0724842i
$979$	16.1220	+	49.6186i	0.515263	+	1.58582i
$980$	−10.9394	+	7.60595i	−0.349445	+	0.242963i
$981$	6.91075	−	21.2691i	0.220643	−	0.679070i
$982$	−20.6300			−0.658328
$983$	12.2316	−	37.6451i	0.390128	−	1.20069i	−0.542563	−	0.840015i	$-0.682546\pi$
$983$	12.2316	−	37.6451i	0.390128	−	1.20069i	0.932691	−	0.360676i	$-0.117454\pi$
$984$	2.52019	−	1.83103i	0.0803408	−	0.0583710i
$985$	−41.6132	+	28.9329i	−1.32591	+	0.921880i
$986$	−1.34456	−	0.976878i	−0.0428194	−	0.0311101i
$987$	−11.3811	+	8.26882i	−0.362263	+	0.263199i
$988$	4.54960	−	3.30547i	0.144742	−	0.105161i
$989$	−0.452376	−	0.328671i	−0.0143847	−	0.0104511i
$990$	5.00458	−	14.3795i	0.159056	−	0.457010i
$991$	−9.32006	+	6.77142i	−0.296062	+	0.215101i	−0.725893	−	0.687808i	$-0.758573\pi$
$991$	−9.32006	+	6.77142i	−0.296062	+	0.215101i	0.429831	+	0.902909i	$0.358573\pi$
$992$	2.16581	−	6.66569i	0.0687646	−	0.211636i
$993$	−8.79715			−0.279169
$994$	−4.21038	+	12.9582i	−0.133545	+	0.411010i
$995$	−10.8283	−	35.8420i	−0.343281	−	1.13627i
$996$	−3.12485	−	9.61729i	−0.0990146	−	0.304736i
$997$	16.8977	+	52.0058i	0.535156	+	1.64704i	0.743311	+	0.668946i	$0.233254\pi$
$997$	16.8977	+	52.0058i	0.535156	+	1.64704i	−0.208155	+	0.978096i	$0.566746\pi$
$998$	17.8407	+	12.9620i	0.564738	+	0.410306i
$999$	28.3475			0.896874

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	950.2.h.c.191.4	✓	44
25.11	even	5	inner	950.2.h.c.761.4	yes	44

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
950.2.h.c.191.4	✓	44	1.1	even	1	trivial
950.2.h.c.761.4	yes	44	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)

\(f(q)\)	\(=\)	\(q+(-0.809017 - 0.587785i) q^{2} +(-0.351062 - 1.08046i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-0.646677 - 2.14052i) q^{5} +(-0.351062 + 1.08046i) q^{6} -1.02053 q^{7} +(0.309017 - 0.951057i) q^{8} +(1.38291 - 1.00474i) q^{9} +O(q^{10})\)	\(q+(-0.809017 - 0.587785i) q^{2} +(-0.351062 - 1.08046i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-0.646677 - 2.14052i) q^{5} +(-0.351062 + 1.08046i) q^{6} -1.02053 q^{7} +(0.309017 - 0.951057i) q^{8} +(1.38291 - 1.00474i) q^{9} +(-0.734991 + 2.11182i) q^{10} +(-3.22261 - 2.34137i) q^{11} +(0.919092 - 0.667760i) q^{12} +(-4.54960 + 3.30547i) q^{13} +(0.825625 + 0.599851i) q^{14} +(-2.08571 + 1.45016i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(-0.120278 + 0.370176i) q^{17} -1.70937 q^{18} +(-0.309017 + 0.951057i) q^{19} +(1.83592 - 1.27648i) q^{20} +(0.358269 + 1.10264i) q^{21} +(1.23093 + 3.78841i) q^{22} +(5.62763 + 4.08871i) q^{23} -1.13606 q^{24} +(-4.16362 + 2.76844i) q^{25} +5.62361 q^{26} +(-4.32834 - 3.14473i) q^{27} +(-0.315361 - 0.970580i) q^{28} +(-1.31948 - 4.06093i) q^{29} +(2.53976 + 0.0527467i) q^{30} +(2.16581 - 6.66569i) q^{31} +1.00000 q^{32} +(-1.39841 + 4.30386i) q^{33} +(0.314891 - 0.228782i) q^{34} +(0.659952 + 2.18446i) q^{35} +(1.38291 + 1.00474i) q^{36} +(-4.28655 + 3.11436i) q^{37} +(0.809017 - 0.587785i) q^{38} +(5.16862 + 3.75522i) q^{39} +(-2.23559 - 0.0464295i) q^{40} +(-2.21836 + 1.61173i) q^{41} +(0.358269 - 1.10264i) q^{42} -0.0803849 q^{43} +(1.23093 - 3.78841i) q^{44} +(-3.04496 - 2.31039i) q^{45} +(-2.14956 - 6.61568i) q^{46} +(3.74956 + 11.5400i) q^{47} +(0.919092 + 0.667760i) q^{48} -5.95852 q^{49} +(4.99569 + 0.207594i) q^{50} +0.442185 q^{51} +(-4.54960 - 3.30547i) q^{52} +(-0.983658 - 3.02739i) q^{53} +(1.65328 + 5.08827i) q^{54} +(-2.92774 + 8.41217i) q^{55} +(-0.315361 + 0.970580i) q^{56} +1.13606 q^{57} +(-1.31948 + 4.06093i) q^{58} +(2.90239 - 2.10871i) q^{59} +(-2.02371 - 1.53551i) q^{60} +(0.499886 + 0.363188i) q^{61} +(-5.67017 + 4.11962i) q^{62} +(-1.41129 + 1.02537i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(10.0175 + 7.60091i) q^{65} +(3.66109 - 2.65993i) q^{66} +(-4.88773 + 15.0429i) q^{67} -0.389227 q^{68} +(2.44204 - 7.51581i) q^{69} +(0.750079 - 2.15517i) q^{70} +(4.12569 + 12.6976i) q^{71} +(-0.528223 - 1.62570i) q^{72} +(-1.37278 - 0.997385i) q^{73} +5.29847 q^{74} +(4.45288 + 3.52672i) q^{75} -1.00000 q^{76} +(3.28877 + 2.38943i) q^{77} +(-1.97424 - 6.07607i) q^{78} +(0.476302 + 1.46591i) q^{79} +(1.78134 + 1.35161i) q^{80} +(-0.293557 + 0.903475i) q^{81} +2.74204 q^{82} +(2.75060 - 8.46547i) q^{83} +(-0.937960 + 0.681468i) q^{84} +(0.870149 + 0.0180716i) q^{85} +(0.0650327 + 0.0472490i) q^{86} +(-3.92445 + 2.85128i) q^{87} +(-3.22261 + 2.34137i) q^{88} +(-10.5961 - 7.69850i) q^{89} +(1.10541 + 3.65893i) q^{90} +(4.64299 - 3.37333i) q^{91} +(-2.14956 + 6.61568i) q^{92} -7.96233 q^{93} +(3.74956 - 11.5400i) q^{94} +(2.23559 + 0.0464295i) q^{95} +(-0.351062 - 1.08046i) q^{96} +(4.51851 + 13.9066i) q^{97} +(4.82055 + 3.50233i) q^{98} -6.80904 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 44 q - 11 q^{2} + q^{3} - 11 q^{4} - q^{5} + q^{6} + 18 q^{7} - 11 q^{8} - 8 q^{9}+O(q^{10}) \) 44 * q - 11 * q^2 + q^3 - 11 * q^4 - q^5 + q^6 + 18 * q^7 - 11 * q^8 - 8 * q^9	\( 44 q - 11 q^{2} + q^{3} - 11 q^{4} - q^{5} + q^{6} + 18 q^{7} - 11 q^{8} - 8 q^{9} + 4 q^{10} - q^{11} - 4 q^{12} + 2 q^{13} + 3 q^{14} - 4 q^{15} - 11 q^{16} + 11 q^{17} + 42 q^{18} + 11 q^{19} - 6 q^{20} + 3 q^{21} - 6 q^{22} - 3 q^{23} + 6 q^{24} - 11 q^{25} + 22 q^{26} - 23 q^{27} - 12 q^{28} + 36 q^{29} - 4 q^{30} + 11 q^{31} + 44 q^{32} + 2 q^{33} - 19 q^{34} + 67 q^{35} - 8 q^{36} + 3 q^{37} + 11 q^{38} + 47 q^{39} + 4 q^{40} + 2 q^{41} + 3 q^{42} + 70 q^{43} - 6 q^{44} - 28 q^{45} - 8 q^{46} - 11 q^{47} - 4 q^{48} + 22 q^{49} + 14 q^{50} + 38 q^{51} + 2 q^{52} - 9 q^{53} + 32 q^{54} + 8 q^{55} - 12 q^{56} - 6 q^{57} + 36 q^{58} - 62 q^{59} + 11 q^{60} - 28 q^{61} - 29 q^{62} + 10 q^{63} - 11 q^{64} - 39 q^{65} - 8 q^{66} + 25 q^{67} + 16 q^{68} - 81 q^{69} - 43 q^{70} - 34 q^{71} - 13 q^{72} + 6 q^{73} + 8 q^{74} - 39 q^{75} - 44 q^{76} - 21 q^{77} - 58 q^{78} + 19 q^{79} - q^{80} - 22 q^{81} + 2 q^{82} - 50 q^{83} - 7 q^{84} + 102 q^{85} - 10 q^{86} + 47 q^{87} - q^{88} - 4 q^{89} - 38 q^{90} - 8 q^{91} - 8 q^{92} + 60 q^{93} - 11 q^{94} - 4 q^{95} + q^{96} + 8 q^{97} + 7 q^{98} - 12 q^{99}+O(q^{100}) \) 44 * q - 11 * q^2 + q^3 - 11 * q^4 - q^5 + q^6 + 18 * q^7 - 11 * q^8 - 8 * q^9 + 4 * q^10 - q^11 - 4 * q^12 + 2 * q^13 + 3 * q^14 - 4 * q^15 - 11 * q^16 + 11 * q^17 + 42 * q^18 + 11 * q^19 - 6 * q^20 + 3 * q^21 - 6 * q^22 - 3 * q^23 + 6 * q^24 - 11 * q^25 + 22 * q^26 - 23 * q^27 - 12 * q^28 + 36 * q^29 - 4 * q^30 + 11 * q^31 + 44 * q^32 + 2 * q^33 - 19 * q^34 + 67 * q^35 - 8 * q^36 + 3 * q^37 + 11 * q^38 + 47 * q^39 + 4 * q^40 + 2 * q^41 + 3 * q^42 + 70 * q^43 - 6 * q^44 - 28 * q^45 - 8 * q^46 - 11 * q^47 - 4 * q^48 + 22 * q^49 + 14 * q^50 + 38 * q^51 + 2 * q^52 - 9 * q^53 + 32 * q^54 + 8 * q^55 - 12 * q^56 - 6 * q^57 + 36 * q^58 - 62 * q^59 + 11 * q^60 - 28 * q^61 - 29 * q^62 + 10 * q^63 - 11 * q^64 - 39 * q^65 - 8 * q^66 + 25 * q^67 + 16 * q^68 - 81 * q^69 - 43 * q^70 - 34 * q^71 - 13 * q^72 + 6 * q^73 + 8 * q^74 - 39 * q^75 - 44 * q^76 - 21 * q^77 - 58 * q^78 + 19 * q^79 - q^80 - 22 * q^81 + 2 * q^82 - 50 * q^83 - 7 * q^84 + 102 * q^85 - 10 * q^86 + 47 * q^87 - q^88 - 4 * q^89 - 38 * q^90 - 8 * q^91 - 8 * q^92 + 60 * q^93 - 11 * q^94 - 4 * q^95 + q^96 + 8 * q^97 + 7 * q^98 - 12 * q^99

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