LMFDB - Embedded newform 128.4.k.a.101.32

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [128,4,Mod(5,128)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(128, base_ring=CyclotomicField(32))

chi = DirichletCharacter(H, H._module([0, 1]))

N = Newforms(chi, 4, names="a")

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

chi := DirichletCharacter("128.5");

S:= CuspForms(chi, 4);

N := Newforms(S);

Level:	$N$	$=$	$128 = 2^{7}$
Weight:	$k$	$=$	$4$
Character orbit:	$[\chi]$	$=$	128.k (of order $32$ , degree $16$ , 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:	$7.55224448073$
Analytic rank:	$0$
Dimension:	$752$
Relative dimension:	$47$ over $\Q(\zeta_{32})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label			101.32
Character	$\chi$	$=$	128.101
Dual form			128.4.k.a.109.32

$q$ -expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.26744 + 2.52856i) q^{2} +(0.885332 - 0.473220i) q^{3} +(-4.78720 + 6.40958i) q^{4} +(-10.4400 - 12.7212i) q^{5} +(2.31867 + 1.63883i) q^{6} +(2.30820 - 1.54229i) q^{7} +(-22.2745 - 3.98094i) q^{8} +(-14.4405 + 21.6118i) q^{9} +(18.9342 - 42.5216i) q^{10} +(-41.5342 + 12.5993i) q^{11} +(-1.20512 + 7.94001i) q^{12} +(-62.1415 - 50.9982i) q^{13} +(6.82528 + 3.88166i) q^{14} +(-15.2629 - 6.32208i) q^{15} +(-18.1655 - 61.3679i) q^{16} +(53.8977 - 22.3252i) q^{17} +(-72.9491 - 9.12207i) q^{18} +(3.87281 + 39.3213i) q^{19} +(131.516 - 6.01730i) q^{20} +(1.31368 - 2.45773i) q^{21} +(-84.5001 - 89.0529i) q^{22} +(113.614 - 22.5992i) q^{23} +(-21.6042 + 7.01627i) q^{24} +(-28.4489 + 143.022i) q^{25} +(50.1913 - 221.765i) q^{26} +(-5.21424 + 52.9410i) q^{27} +(-1.16437 + 22.1779i) q^{28} +(-47.8499 + 157.740i) q^{29} +(-3.35900 - 46.6058i) q^{30} +(9.78497 + 9.78497i) q^{31} +(132.148 - 123.713i) q^{32} +(-30.8094 + 30.8094i) q^{33} +(124.762 + 107.988i) q^{34} +(-43.7176 - 13.2616i) q^{35} +(-69.3928 - 196.017i) q^{36} +(-130.382 - 12.8415i) q^{37} +(-94.5175 + 59.6299i) q^{38} +(-79.1492 - 15.7437i) q^{39} +(181.904 + 324.920i) q^{40} +(20.4955 + 103.038i) q^{41} +(7.87952 + 0.206701i) q^{42} +(-352.022 - 188.159i) q^{43} +(118.076 - 326.532i) q^{44} +(425.688 - 41.9266i) q^{45} +(201.142 + 258.636i) q^{46} +(-187.172 - 451.874i) q^{47} +(-45.1230 - 45.7347i) q^{48} +(-128.311 + 309.771i) q^{49} +(-397.698 + 109.337i) q^{50} +(37.1527 - 45.2706i) q^{51} +(624.360 - 154.163i) q^{52} +(79.4969 + 262.066i) q^{53} +(-140.473 + 53.9151i) q^{54} +(593.898 + 396.830i) q^{55} +(-57.5538 + 25.1649i) q^{56} +(22.0363 + 32.9797i) q^{57} +(-459.501 + 78.9346i) q^{58} +(-353.977 + 290.501i) q^{59} +(113.588 - 67.5635i) q^{60} +(166.770 + 312.004i) q^{61} +(-12.3400 + 37.1437i) q^{62} +72.1559i q^{63} +(480.304 + 177.347i) q^{64} +1322.94i q^{65} +(-116.952 - 38.8542i) q^{66} +(-356.080 - 666.179i) q^{67} +(-114.924 + 452.337i) q^{68} +(89.8917 - 73.7722i) q^{69} +(-21.8767 - 127.351i) q^{70} +(83.5987 + 125.114i) q^{71} +(407.690 - 423.904i) q^{72} +(-517.107 - 345.520i) q^{73} +(-132.781 - 345.954i) q^{74} +(42.4943 + 140.085i) q^{75} +(-270.573 - 163.415i) q^{76} +(-76.4378 + 93.1397i) q^{77} +(-60.5078 - 220.087i) q^{78} +(74.3417 - 179.477i) q^{79} +(-591.026 + 871.771i) q^{80} +(-248.127 - 599.032i) q^{81} +(-234.561 + 182.419i) q^{82} +(1429.44 - 140.788i) q^{83} +(9.46416 + 20.1858i) q^{84} +(-846.698 - 452.569i) q^{85} +(29.6059 - 1128.59i) q^{86} +(32.2826 + 162.296i) q^{87} +(975.310 - 115.297i) q^{88} +(938.403 + 186.660i) q^{89} +(645.548 + 1023.24i) q^{90} +(-222.089 - 21.8739i) q^{91} +(-399.041 + 836.405i) q^{92} +(13.2934 + 4.03250i) q^{93} +(905.359 - 1046.00i) q^{94} +(459.783 - 459.783i) q^{95} +(58.4520 - 172.062i) q^{96} +(118.063 + 118.063i) q^{97} +(-945.900 + 68.1733i) q^{98} +(327.484 - 1079.57i) q^{99} +O(q^{100})$
$\operatorname{Tr}(f)(q)$	$=$	$752 q - 16 q^{2} - 16 q^{3} - 16 q^{4} - 16 q^{5} - 16 q^{6} - 16 q^{7} - 16 q^{8} - 16 q^{9} - 16 q^{10} - 16 q^{11} - 16 q^{12} - 16 q^{13} - 16 q^{14} - 16 q^{15} - 16 q^{16} - 16 q^{17} - 16 q^{18}+ \cdots - 16 q^{99}+O(q^{100})$ 752 * q - 16 * q^2 - 16 * q^3 - 16 * q^4 - 16 * q^5 - 16 * q^6 - 16 * q^7 - 16 * q^8 - 16 * q^9 - 16 * q^10 - 16 * q^11 - 16 * q^12 - 16 * q^13 - 16 * q^14 - 16 * q^15 - 16 * q^16 - 16 * q^17 - 16 * q^18 - 16 * q^19 - 16 * q^20 - 16 * q^21 - 16 * q^22 - 16 * q^23 - 16 * q^24 - 16 * q^25 - 16 * q^26 - 16 * q^27 - 16 * q^28 - 16 * q^29 - 16 * q^30 - 16 * q^31 - 16 * q^32 - 16 * q^33 - 16 * q^34 - 16 * q^35 - 16 * q^36 - 16 * q^37 - 16 * q^38 - 16 * q^39 - 16 * q^40 - 16 * q^41 - 16 * q^42 - 16 * q^43 - 16 * q^44 - 16 * q^45 - 16 * q^46 - 16 * q^47 - 16 * q^48 - 16 * q^49 + 5696 * q^50 - 16 * q^51 + 6608 * q^52 - 16 * q^53 + 3440 * q^54 - 16 * q^55 - 800 * q^56 - 16 * q^57 - 4768 * q^58 - 16 * q^59 - 9808 * q^60 - 16 * q^61 - 5872 * q^62 - 12112 * q^64 - 10960 * q^66 - 16 * q^67 - 4144 * q^68 - 16 * q^69 - 4048 * q^70 - 16 * q^71 + 1280 * q^72 - 16 * q^73 + 5248 * q^74 - 16 * q^75 + 11888 * q^76 - 16 * q^77 + 14096 * q^78 - 16 * q^79 + 10016 * q^80 - 16 * q^81 - 16 * q^82 - 16 * q^83 - 16 * q^84 - 16 * q^85 - 16 * q^86 - 16 * q^87 - 16 * q^88 - 16 * q^89 - 16 * q^90 - 16 * q^91 - 16 * q^92 - 16 * q^93 - 16 * q^94 - 16 * q^95 - 16 * q^96 - 16 * q^97 - 16 * q^98 - 16 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/128\mathbb{Z}\right)^\times$ .

$n$	$5$	$127$
$\chi(n)$	$e\left(\frac{9}{32}\right)$	$1$

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

)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$\alpha_n$			$\theta_n$
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$\alpha_p$			$\theta_p$

$2$	1.26744	+	2.52856i	0.448107	+	0.893980i
$2$	1.26744	+	2.52856i	0.448107	+	0.893980i
$3$	0.885332	−	0.473220i	0.170382	−	0.0910712i	−0.384001	−	0.923333i	$-0.625454\pi$
$3$	0.885332	−	0.473220i	0.170382	−	0.0910712i	0.554383	+	0.832261i	$0.312954\pi$
$4$	−4.78720	+	6.40958i	−0.598400	+	0.801198i
$5$	−10.4400	−	12.7212i	−0.933786	−	1.13782i	−0.990234	−	0.139416i	$-0.955477\pi$
$5$	−10.4400	−	12.7212i	−0.933786	−	1.13782i	0.0564477	−	0.998406i	$-0.482023\pi$
$6$	2.31867	+	1.63883i	0.157765	+	0.111509i
$7$	2.30820	−	1.54229i	0.124631	−	0.0832760i	−0.491692	−	0.870769i	$-0.663621\pi$
$7$	2.30820	−	1.54229i	0.124631	−	0.0832760i	0.616323	+	0.787493i	$0.288621\pi$
$8$	−22.2745	−	3.98094i	−0.984402	−	0.175934i
$9$	−14.4405	+	21.6118i	−0.534834	+	0.800436i
$10$	18.9342	−	42.5216i	0.598753	−	1.34465i
$11$	−41.5342	+	12.5993i	−1.13846	+	0.345348i	−0.802572	−	0.596555i	$-0.796536\pi$
$11$	−41.5342	+	12.5993i	−1.13846	+	0.345348i	−0.335886	+	0.941903i	$0.609036\pi$
$12$	−1.20512	+	7.94001i	−0.0289906	+	0.191007i
$13$	−62.1415	−	50.9982i	−1.32576	−	1.08803i	−0.989232	−	0.146355i	$-0.953246\pi$
$13$	−62.1415	−	50.9982i	−1.32576	−	1.08803i	−0.336532	−	0.941672i	$-0.609254\pi$
$14$	6.82528	+	3.88166i	0.130295	+	0.0741013i
$15$	−15.2629	−	6.32208i	−0.262723	−	0.108824i
$16$	−18.1655	−	61.3679i	−0.283836	−	0.958873i
$17$	53.8977	−	22.3252i	0.768948	−	0.318509i	0.0365016	−	0.999334i	$-0.488379\pi$
$17$	53.8977	−	22.3252i	0.768948	−	0.318509i	0.732446	+	0.680825i	$0.238379\pi$
$18$	−72.9491	−	9.12207i	−0.955236	−	0.119450i
$19$	3.87281	+	39.3213i	0.0467622	+	0.474785i	0.989837	+	0.142205i	$0.0454192\pi$
$19$	3.87281	+	39.3213i	0.0467622	+	0.474785i	−0.943075	+	0.332580i	$0.892081\pi$
$20$	131.516	−	6.01730i	1.47040	−	0.0672755i
$21$	1.31368	−	2.45773i	0.0136509	−	0.0255391i
$22$	−84.5001	−	89.0529i	−0.818886	−	0.863006i
$23$	113.614	−	22.5992i	1.03001	−	0.204881i	0.348973	−	0.937133i	$-0.386531\pi$
$23$	113.614	−	22.5992i	1.03001	−	0.204881i	0.681034	+	0.732252i	$0.261531\pi$
$24$	−21.6042	+	7.01627i	−0.183747	+	0.0596746i
$25$	−28.4489	+	143.022i	−0.227591	+	1.14418i
$26$	50.1913	−	221.765i	0.378589	−	1.67276i
$27$	−5.21424	+	52.9410i	−0.0371659	+	0.377352i
$28$	−1.16437	+	22.1779i	−0.00785878	+	0.149687i
$29$	−47.8499	+	157.740i	−0.306397	+	1.01005i	0.659625	+	0.751594i	$0.270715\pi$
$29$	−47.8499	+	157.740i	−0.306397	+	1.01005i	−0.966022	+	0.258460i	$0.916785\pi$
$30$	−3.35900	−	46.6058i	−0.0204422	−	0.283634i
$31$	9.78497	+	9.78497i	0.0566914	+	0.0566914i	0.734884	−	0.678193i	$-0.237237\pi$
$31$	9.78497	+	9.78497i	0.0566914	+	0.0566914i	−0.678193	+	0.734884i	$0.737237\pi$
$32$	132.148	−	123.713i	0.730024	−	0.683422i
$33$	−30.8094	+	30.8094i	−0.162522	+	0.162522i
$34$	124.762	+	107.988i	0.629311	+	0.544698i
$35$	−43.7176	−	13.2616i	−0.211132	−	0.0640463i
$36$	−69.3928	−	196.017i	−0.321263	−	0.907488i
$37$	−130.382	−	12.8415i	−0.579315	−	0.0570575i	−0.195884	−	0.980627i	$-0.562758\pi$
$37$	−130.382	−	12.8415i	−0.579315	−	0.0570575i	−0.383431	+	0.923570i	$0.625258\pi$
$38$	−94.5175	+	59.6299i	−0.403494	+	0.254559i
$39$	−79.1492	−	15.7437i	−0.324975	−	0.0646415i
$40$	181.904	+	324.920i	0.719039	+	1.28436i
$41$	20.4955	+	103.038i	0.0780699	+	0.392484i	0.999987	+	0.00509662i	$0.00162231\pi$
$41$	20.4955	+	103.038i	0.0780699	+	0.392484i	−0.921917	+	0.387387i	$0.873378\pi$
$42$	7.87952	+	0.206701i	0.0289485	+	0.000759397i
$43$	−352.022	−	188.159i	−1.24844	−	0.667303i	−0.291215	−	0.956658i	$-0.594059\pi$
$43$	−352.022	−	188.159i	−1.24844	−	0.667303i	−0.957222	+	0.289354i	$0.906559\pi$
$44$	118.076	−	326.532i	0.404561	−	1.11879i
$45$	425.688	−	41.9266i	1.41017	−	0.138890i
$46$	201.142	+	258.636i	0.644713	+	0.828996i
$47$	−187.172	−	451.874i	−0.580891	−	1.40239i	−0.892006	−	0.452023i	$-0.850703\pi$
$47$	−187.172	−	451.874i	−0.580891	−	1.40239i	0.311115	−	0.950372i	$-0.399297\pi$
$48$	−45.1230	−	45.7347i	−0.135686	−	0.137526i
$49$	−128.311	+	309.771i	−0.374085	+	0.903122i
$50$	−397.698	+	109.337i	−1.12486	+	0.309253i
$51$	37.1527	−	45.2706i	0.102008	−	0.124297i
$52$	624.360	−	154.163i	1.66506	−	0.411125i
$53$	79.4969	+	262.066i	0.206033	+	0.679199i	0.997671	+	0.0682089i	$0.0217284\pi$
$53$	79.4969	+	262.066i	0.206033	+	0.679199i	−0.791638	+	0.610990i	$0.790772\pi$
$54$	−140.473	+	53.9151i	−0.354000	+	0.135869i
$55$	593.898	+	396.830i	1.45602	+	0.972882i
$56$	−57.5538	+	25.1649i	−0.137338	+	0.0600501i
$57$	22.0363	+	32.9797i	0.0512067	+	0.0766362i
$58$	−459.501	+	78.9346i	−1.04027	+	0.178700i
$59$	−353.977	+	290.501i	−0.781082	+	0.641018i	−0.938016	−	0.346591i	$-0.887339\pi$
$59$	−353.977	+	290.501i	−0.781082	+	0.641018i	0.156934	+	0.987609i	$0.449839\pi$
$60$	113.588	−	67.5635i	0.244403	−	0.145373i
$61$	166.770	+	312.004i	0.350043	+	0.654885i	0.993903	−	0.110259i	$-0.0351679\pi$
$61$	166.770	+	312.004i	0.350043	+	0.654885i	−0.643859	+	0.765144i	$0.722668\pi$
$62$	−12.3400	+	37.1437i	−0.0252771	+	0.0760847i
$63$			72.1559i			0.144298i
$64$	480.304	+	177.347i	0.938094	+	0.346380i
$65$			1322.94i			2.52447i
$66$	−116.952	−	38.8542i	−0.218119	−	0.0724640i
$67$	−356.080	−	666.179i	−0.649286	−	1.21473i	−0.964091	−	0.265572i	$-0.914439\pi$
$67$	−356.080	−	666.179i	−0.649286	−	1.21473i	0.314806	−	0.949156i	$-0.398061\pi$
$68$	−114.924	+	452.337i	−0.204950	+	0.806675i
$69$	89.8917	−	73.7722i	0.156836	−	0.128712i
$70$	−21.8767	−	127.351i	−0.0373539	−	0.217448i
$71$	83.5987	+	125.114i	0.139737	+	0.209132i	0.894737	−	0.446594i	$-0.147363\pi$
$71$	83.5987	+	125.114i	0.139737	+	0.209132i	−0.755000	+	0.655725i	$0.772363\pi$
$72$	407.690	−	423.904i	0.667316	−	0.693855i
$73$	−517.107	−	345.520i	−0.829079	−	0.553973i	0.0670589	−	0.997749i	$-0.478638\pi$
$73$	−517.107	−	345.520i	−0.829079	−	0.553973i	−0.896138	+	0.443776i	$0.853638\pi$
$74$	−132.781	−	345.954i	−0.208587	−	0.543464i
$75$	42.4943	+	140.085i	0.0654243	+	0.215675i
$76$	−270.573	−	163.415i	−0.408379	−	0.246645i
$77$	−76.4378	+	93.1397i	−0.113128	+	0.137847i
$78$	−60.5078	−	220.087i	−0.0878354	−	0.319487i
$79$	74.3417	−	179.477i	0.105875	−	0.255604i	−0.862060	−	0.506806i	$-0.830826\pi$
$79$	74.3417	−	179.477i	0.105875	−	0.255604i	0.967935	+	0.251202i	$0.0808259\pi$
$80$	−591.026	+	871.771i	−0.825984	+	1.21834i
$81$	−248.127	−	599.032i	−0.340367	−	0.821718i
$82$	−234.561	+	182.419i	−0.315889	+	0.245668i
$83$	1429.44	−	140.788i	1.89038	−	0.186186i	0.914513	−	0.404556i	$-0.132574\pi$
$83$	1429.44	−	140.788i	1.89038	−	0.186186i	0.975866	+	0.218370i	$0.0700738\pi$
$84$	9.46416	+	20.1858i	0.0122931	+	0.0262197i
$85$	−846.698	−	452.569i	−1.08044	−	0.577507i
$86$	29.6059	−	1128.59i	0.0371219	−	1.41510i
$87$	32.2826	+	162.296i	0.0397823	+	0.199999i
$88$	975.310	−	115.297i	1.18146	−	0.139667i
$89$	938.403	+	186.660i	1.11765	+	0.222314i	0.719149	−	0.694856i	$-0.244532\pi$
$89$	938.403	+	186.660i	1.11765	+	0.222314i	0.398497	+	0.917170i	$0.369532\pi$
$90$	645.548	+	1023.24i	0.756074	+	1.19843i
$91$	−222.089	−	21.8739i	−0.255838	−	0.0251979i
$92$	−399.041	+	836.405i	−0.452205	+	0.947840i
$93$	13.2934	+	4.03250i	0.0148221	+	0.00449625i
$94$	905.359	−	1046.00i	0.993411	−	1.14773i
$95$	459.783	−	459.783i	0.496555	−	0.496555i
$96$	58.4520	−	172.062i	0.0621431	−	0.182927i
$97$	118.063	+	118.063i	0.123582	+	0.123582i	0.766193	−	0.642611i	$-0.222149\pi$
$97$	118.063	+	118.063i	0.123582	+	0.123582i	−0.642611	+	0.766193i	$0.722149\pi$
$98$	−945.900	+	68.1733i	−0.975003	+	0.0702709i
$99$	327.484	−	1079.57i	0.332458	−	1.09597i
$100$	−780.523	−	867.022i	−0.780523	−	0.867022i
$101$	−6.99028	+	70.9735i	−0.00688672	+	0.0699221i	−0.998014	−	0.0629956i	$-0.979935\pi$
$101$	−6.99028	+	70.9735i	−0.00688672	+	0.0699221i	0.991127	+	0.132918i	$0.0424346\pi$
$102$	161.558	+	36.5648i	0.156830	+	0.0354947i
$103$	188.523	−	947.770i	0.180347	−	0.906665i	−0.779556	−	0.626333i	$-0.784555\pi$
$103$	188.523	−	947.770i	0.180347	−	0.906665i	0.959903	−	0.280333i	$-0.0904448\pi$
$104$	1181.15	+	1383.34i	1.11366	+	1.30430i
$105$	−44.9803	+	8.94713i	−0.0418060	+	0.00831572i
$106$	−561.891	+	533.165i	−0.514865	+	0.488543i
$107$	696.625	−	1303.29i	0.629396	−	1.17752i	−0.341922	−	0.939728i	$-0.611078\pi$
$107$	696.625	−	1303.29i	0.629396	−	1.17752i	0.971317	−	0.237788i	$-0.0764223\pi$
$108$	−314.368	−	286.860i	−0.280094	−	0.255585i
$109$	−10.7408	−	109.053i	−0.00943834	−	0.0958291i	0.989311	−	0.145818i	$-0.0465814\pi$
$109$	−10.7408	−	109.053i	−0.00943834	−	0.0958291i	−0.998750	+	0.0499889i	$0.984081\pi$
$110$	−250.677	+	2004.66i	−0.217283	+	1.73761i
$111$	−121.508	+	50.3303i	−0.103901	+	0.0430373i
$112$	−136.577	−	113.633i	−0.115226	−	0.0958689i
$113$	−1612.90	−	668.085i	−1.34273	−	0.556179i	−0.408474	−	0.912770i	$-0.633939\pi$
$113$	−1612.90	−	668.085i	−1.34273	−	0.556179i	−0.934260	+	0.356591i	$0.883939\pi$
$114$	−55.4613	+	97.5198i	−0.0455651	+	0.0801190i
$115$	−1473.63	−	1209.37i	−1.19492	−	0.980649i
$116$	−781.980	−	1061.83i	−0.625906	−	0.849900i
$117$	1999.52	−	606.546i	1.57996	−	0.479275i
$118$	−1183.19	−	526.858i	−0.923066	−	0.411027i
$119$	89.9750	−	134.657i	0.0693108	−	0.103731i
$120$	314.804	+	201.581i	0.239480	+	0.153348i
$121$	459.666	−	307.139i	0.345354	−	0.230758i
$122$	−577.549	+	817.132i	−0.428597	+	0.606391i
$123$	66.9050	+	81.5240i	0.0490457	+	0.0597623i
$124$	−109.560	+	15.8750i	−0.0793451	+	0.0114969i
$125$	302.236	−	161.548i	0.216262	−	0.115595i
$126$	−182.450	+	91.4532i	−0.129000	+	0.0646611i
$127$	−2438.93			−1.70409			−0.852047	−	0.523465i	$-0.824639\pi$
$127$	−2438.93			−1.70409			−0.852047	+	0.523465i	$0.824639\pi$
$128$	160.325	+	1439.25i	0.110710	+	0.993853i
$129$	−400.697			−0.273484
$130$	−3345.13	+	1676.74i	−2.25682	+	1.13123i
$131$	−2265.08	+	1210.71i	−1.51069	+	0.807481i	−0.998673	−	0.0514934i	$-0.983602\pi$
$131$	−2265.08	+	1210.71i	−1.51069	+	0.807481i	−0.512018	+	0.858975i	$0.671102\pi$
$132$	−49.9847	−	344.966i	−0.0329592	−	0.227465i
$133$	69.5841	+	84.7885i	0.0453662	+	0.0552789i
$134$	1233.16	−	1744.71i	0.794992	−	1.12478i
$135$	727.912	−	486.375i	0.464065	−	0.310078i
$136$	−1289.42	+	282.718i	−0.812990	+	0.178256i
$137$	−1564.57	+	2341.55i	−0.975696	+	1.46023i	−0.0900140	+	0.995940i	$0.528691\pi$
$137$	−1564.57	+	2341.55i	−0.975696	+	1.46023i	−0.885682	+	0.464292i	$0.846309\pi$
$138$	300.469	+	133.794i	0.185345	+	0.0825314i
$139$	−599.136	+	181.746i	−0.365598	+	0.110903i	−0.467738	−	0.883867i	$-0.654931\pi$
$139$	−599.136	+	181.746i	−0.365598	+	0.110903i	0.102140	+	0.994770i	$0.467431\pi$
$140$	294.286	−	216.726i	0.177655	−	0.130833i
$141$	−379.545	−	311.485i	−0.226691	−	0.186041i
$142$	−210.402	+	369.959i	−0.124342	+	0.218636i
$143$	3223.54	+	1335.23i	1.88508	+	0.780824i
$144$	1588.59	+	493.595i	0.919321	+	0.285645i
$145$	2506.20	−	1038.10i	1.43537	−	0.594550i
$146$	218.265	−	1745.46i	0.123724	−	0.989419i
$147$	32.9916	+	334.970i	0.0185109	+	0.187944i
$148$	706.472	−	774.219i	0.392376	−	0.430003i
$149$	1170.50	−	2189.85i	0.643564	−	1.20402i	−0.322708	−	0.946499i	$-0.604593\pi$
$149$	1170.50	−	2189.85i	0.643564	−	1.20402i	0.966272	−	0.257524i	$-0.0829068\pi$
$150$	−300.354	+	284.998i	−0.163492	+	0.155133i
$151$	572.078	−	113.793i	0.308311	−	0.0613269i	−0.0385098	−	0.999258i	$-0.512261\pi$
$151$	572.078	−	113.793i	0.308311	−	0.0613269i	0.346821	+	0.937931i	$0.387261\pi$
$152$	70.2708	−	891.278i	0.0374981	−	0.475606i
$153$	−295.825	+	1487.21i	−0.156314	+	0.785842i
$154$	−332.389	−	75.2283i	−0.173926	−	0.0393641i
$155$	22.3213	−	226.632i	0.0115671	−	0.117442i
$156$	479.813	−	431.945i	0.246255	−	0.221688i
$157$	607.968	−	2004.20i	0.309052	−	1.01881i	−0.655562	−	0.755141i	$-0.727568\pi$
$157$	607.968	−	2004.20i	0.309052	−	1.01881i	0.964614	−	0.263666i	$-0.0849318\pi$
$158$	548.041	−	39.4987i	0.275948	−	0.0198883i
$159$	194.396	+	194.396i	0.0969598	+	0.0969598i
$160$	−2953.41	−	389.526i	−1.45930	−	0.192467i
$161$	227.390	−	227.390i	0.111309	−	0.111309i
$162$	1200.20	−	1386.64i	0.582078	−	0.672499i
$163$	−1217.93	−	369.455i	−0.585250	−	0.177534i	−0.0162452	−	0.999868i	$-0.505171\pi$
$163$	−1217.93	−	369.455i	−0.585250	−	0.177534i	−0.569004	+	0.822335i	$0.692671\pi$
$164$	−758.547	−	361.895i	−0.361174	−	0.172313i
$165$	713.585	+	70.2819i	0.336682	+	0.0331603i
$166$	2167.72	+	3435.98i	1.01354	+	1.60653i
$167$	3274.92	+	651.421i	1.51749	+	0.301847i	0.882366	−	0.470564i	$-0.155950\pi$
$167$	3274.92	+	651.421i	1.51749	+	0.301847i	0.635122	+	0.772411i	$0.280950\pi$
$168$	−39.0457	+	49.5149i	−0.0179312	+	0.0227390i
$169$	832.133	+	4183.42i	0.378759	+	1.90415i
$170$	71.2094	−	2714.53i	0.0321265	−	1.22468i
$171$	−905.727	−	484.121i	−0.405045	−	0.216501i
$172$	2891.22	−	1355.56i	1.28171	−	0.600931i
$173$	−4227.93	+	416.415i	−1.85806	+	0.183002i	−0.964168	−	0.265291i	$-0.914532\pi$
$173$	−4227.93	+	416.415i	−1.85806	+	0.183002i	−0.893887	+	0.448293i	$0.852032\pi$
$174$	−369.458	+	287.328i	−0.160968	+	0.125186i
$175$	154.917	+	374.002i	0.0669176	+	0.161553i
$176$	1527.68	+	2320.00i	0.654280	+	0.993615i
$177$	−175.916	+	424.699i	−0.0747043	+	0.180352i
$178$	717.388	+	2609.38i	0.302082	+	1.09877i
$179$	−375.943	+	458.088i	−0.156979	+	0.191280i	−0.845561	−	0.533879i	$-0.820734\pi$
$179$	−375.943	+	458.088i	−0.156979	+	0.191280i	0.688581	+	0.725159i	$0.258234\pi$
$180$	−1769.12	+	2929.19i	−0.732569	+	1.21294i
$181$	−496.838	−	1637.85i	−0.204031	−	0.672601i	−0.997916	−	0.0645322i	$-0.979444\pi$
$181$	−496.838	−	1637.85i	−0.204031	−	0.672601i	0.793884	−	0.608069i	$-0.208056\pi$
$182$	−226.175	−	589.289i	−0.0921166	−	0.240006i
$183$	295.293	+	197.308i	0.119282	+	0.0797019i
$184$	−2620.66	+	51.0954i	−1.04999	+	0.0204718i
$185$	1197.83	+	1792.68i	0.476035	+	0.712436i
$186$	6.65214	+	38.7240i	0.00262236	+	0.0152655i
$187$	−1957.32	+	1606.33i	−0.765419	+	0.628163i
$188$	3792.35	+	963.512i	1.47120	+	0.373784i
$189$	69.6151	+	130.241i	0.0267923	+	0.0501249i
$190$	1745.33	+	579.840i	0.666420	+	0.221400i
$191$		−	540.838i		−	0.204888i	−0.994739	−	0.102444i	$-0.967334\pi$
$191$		−	540.838i		−	0.204888i	0.994739	−	0.102444i	$-0.0326663\pi$
$192$	509.153	−	70.2788i	0.191380	−	0.0264163i
$193$			272.098i			0.101482i	0.998712	+	0.0507411i	$0.0161583\pi$
$193$			272.098i			0.101482i	−0.998712	+	0.0507411i	$0.983842\pi$
$194$	−148.891	+	448.166i	−0.0551018	+	0.165858i
$195$	626.041	+	1171.24i	0.229906	+	0.430125i
$196$	−1371.25	−	2305.36i	−0.499727	−	0.840144i
$197$	2242.24	−	1840.16i	0.810927	−	0.665511i	−0.134655	−	0.990892i	$-0.542993\pi$
$197$	2242.24	−	1840.16i	0.810927	−	0.665511i	0.945583	+	0.325382i	$0.105493\pi$
$198$	3144.82	−	540.227i	1.12875	−	0.193900i
$199$	−36.6544	−	54.8572i	−0.0130571	−	0.0195413i	0.824884	−	0.565303i	$-0.191241\pi$
$199$	−36.6544	−	54.8572i	−0.0130571	−	0.0195413i	−0.837941	+	0.545761i	$0.816241\pi$
$200$	1203.05	−	3072.50i	0.425342	−	1.08629i
$201$	−630.499	−	421.286i	−0.221253	−	0.147837i
$202$	−188.320	+	72.2793i	−0.0655949	+	0.0251760i
$203$	132.834	+	437.895i	0.0459266	+	0.151400i
$204$	112.309	+	454.852i	0.0385451	+	0.156108i
$205$	1096.80	−	1336.45i	0.373676	−	0.455326i
$206$	2635.43	−	724.549i	0.891355	−	0.245057i
$207$	−1152.24	+	2781.74i	−0.386888	+	0.934031i
$208$	−2000.82	+	4739.90i	−0.666980	+	1.58006i
$209$	−656.273	−	1584.38i	−0.217203	−	0.524374i
$210$	−79.6331	−	102.395i	−0.0261676	−	0.0336473i
$211$	2028.87	−	199.826i	0.661957	−	0.0651971i	0.238541	−	0.971132i	$-0.423331\pi$
$211$	2028.87	−	199.826i	0.661957	−	0.0651971i	0.423416	+	0.905935i	$0.360831\pi$
$212$	−2060.30	−	745.020i	−0.667463	−	0.241359i
$213$	133.219	+	71.2072i	0.0428546	+	0.0229063i
$214$	4178.38	+	109.610i	1.33471	+	0.0350131i
$215$	1281.50	+	6442.54i	0.406501	+	2.04362i
$216$	326.899	−	1158.48i	0.102975	−	0.364927i
$217$	37.6770	+	7.49442i	0.0117865	+	0.00234449i
$218$	262.133	−	165.377i	0.0814399	−	0.0513794i
$219$	−621.318	−	61.1945i	−0.191711	−	0.0188819i
$220$	−5386.62	+	1906.93i	−1.65075	+	0.584389i
$221$	−4487.82	−	1361.37i	−1.36599	−	0.414368i
$222$	−281.267	−	243.449i	−0.0850334	−	0.0736003i
$223$	−1575.79	+	1575.79i	−0.473196	+	0.473196i	−0.902947	−	0.429752i	$-0.858601\pi$
$223$	−1575.79	+	1575.79i	−0.473196	+	0.473196i	0.429752	+	0.902947i	$0.358601\pi$
$224$	114.225	−	489.365i	0.0340712	−	0.145969i
$225$	−2680.15	−	2680.15i	−0.794118	−	0.794118i
$226$	−354.962	−	4925.07i	−0.104477	−	1.44960i
$227$	80.7770	−	266.286i	0.0236183	−	0.0778592i	−0.944339	−	0.328974i	$-0.893297\pi$
$227$	80.7770	−	266.286i	0.0236183	−	0.0778592i	0.967957	+	0.251115i	$0.0807972\pi$
$228$	−316.878	−	16.6366i	−0.0920428	−	0.00483239i
$229$	−48.0626	+	487.988i	−0.0138693	+	0.140817i	−0.999626	−	0.0273629i	$-0.991289\pi$
$229$	−48.0626	+	487.988i	−0.0138693	+	0.140817i	0.985756	+	0.168180i	$0.0537890\pi$
$230$	1190.24	−	5258.95i	0.341226	−	1.50767i
$231$	−23.5973	+	118.631i	−0.00672115	+	0.0337895i
$232$	1693.78	−	3323.09i	0.479321	−	0.940394i
$233$	−391.404	+	77.8550i	−0.110050	+	0.0218904i	−0.249808	−	0.968295i	$-0.580368\pi$
$233$	−391.404	+	77.8550i	−0.110050	+	0.0218904i	0.139758	+	0.990186i	$0.455368\pi$
$234$	4067.95	+	4287.13i	1.13645	+	1.19768i
$235$	−3794.30	+	7098.65i	−1.05325	+	1.97049i
$236$	−167.435	−	3659.53i	−0.0461827	−	1.00939i
$237$	−19.1149	−	194.077i	−0.00523901	−	0.0531925i
$238$	454.526	+	56.8372i	0.123792	+	0.0154799i
$239$	2999.03	−	1242.24i	0.811678	−	0.336208i	0.0620545	−	0.998073i	$-0.480235\pi$
$239$	2999.03	−	1242.24i	0.811678	−	0.336208i	0.749623	+	0.661865i	$0.230235\pi$
$240$	−110.715	+	1051.49i	−0.0297776	+	0.282806i
$241$	−1826.04	−	756.372i	−0.488074	−	0.202167i	0.125055	−	0.992150i	$-0.460089\pi$
$241$	−1826.04	−	756.372i	−0.488074	−	0.202167i	−0.613129	+	0.789983i	$0.710089\pi$
$242$	1359.22	+	773.011i	0.361048	+	0.205335i
$243$	−1613.44	−	1324.12i	−0.425936	−	0.349556i
$244$	−2798.17	−	424.700i	−0.734158	−	0.111429i
$245$	5280.24	−	1601.74i	1.37691	−	0.417680i
$246$	−121.340	+	272.500i	−0.0314486	+	0.0706258i
$247$	1764.65	−	2640.99i	0.454583	−	0.680332i
$248$	−179.002	−	256.908i	−0.0458331	−	0.0657810i
$249$	1198.91	−	801.084i	0.305131	−	0.203882i
$250$	791.550	+	559.468i	0.200248	+	0.141535i
$251$	4643.16	+	5657.70i	1.16762	+	1.42275i	0.886282	+	0.463146i	$0.153279\pi$
$251$	4643.16	+	5657.70i	1.16762	+	1.42275i	0.281341	+	0.959608i	$0.409221\pi$
$252$	−462.489	−	345.424i	−0.115611	−	0.0863480i
$253$	−4434.14	+	2370.09i	−1.10186	+	0.588959i
$254$	−3091.20	−	6166.97i	−0.763617	−	1.52343i
$255$	−963.774			−0.236682
$256$	−3436.03	+	2229.56i	−0.838874	+	0.544325i
$257$	−2728.08			−0.662152			−0.331076	−	0.943604i	$-0.607412\pi$
$257$	−2728.08			−0.662152			−0.331076	+	0.943604i	$0.607412\pi$
$258$	−507.859	−	1013.18i	−0.122550	−	0.244489i
$259$	−320.753	+	171.446i	−0.0769523	+	0.0411319i
$260$	−8479.49	−	6333.17i	−2.02260	−	1.51064i
$261$	−2718.06	−	3311.97i	−0.644612	−	0.785462i
$262$	−5932.19	−	4192.87i	−1.39882	−	0.988689i
$263$	−2866.52	+	1915.35i	−0.672081	+	0.449070i	−0.844216	−	0.536003i	$-0.819934\pi$
$263$	−2866.52	+	1915.35i	−0.672081	+	0.449070i	0.172135	+	0.985073i	$0.444934\pi$
$264$	808.913	−	563.612i	0.188580	−	0.131394i
$265$	2503.85	−	3747.28i	0.580417	−	0.868655i
$266$	−126.199	+	283.412i	−0.0290893	+	0.0653274i
$267$	919.129	−	278.815i	0.210673	−	0.0639071i
$268$	5974.56	+	906.805i	1.36177	+	0.206686i
$269$	3788.18	+	3108.88i	0.858622	+	0.704653i	0.956872	−	0.290509i	$-0.0938247\pi$
$269$	3788.18	+	3108.88i	0.858622	+	0.704653i	−0.0982506	+	0.995162i	$0.531325\pi$
$270$	2152.41	+	1224.12i	0.485154	+	0.275916i
$271$	−7427.40	−	3076.53i	−1.66488	−	0.689616i	−0.666446	−	0.745553i	$-0.732185\pi$
$271$	−7427.40	−	3076.53i	−1.66488	−	0.689616i	−0.998434	+	0.0559376i	$0.982185\pi$
$272$	−2349.13	−	2902.04i	−0.523664	−	0.646919i
$273$	−206.974	+	85.7314i	−0.0458851	+	0.0190062i
$274$	−7903.73	−	988.340i	−1.74263	−	0.217912i
$275$	−620.374	−	6298.76i	−0.136036	−	1.38120i
$276$	42.5199	+	929.330i	0.00927318	+	0.202678i
$277$	−3756.32	+	7027.58i	−0.814784	+	1.52435i	0.0363097	+	0.999341i	$0.488440\pi$
$277$	−3756.32	+	7027.58i	−0.814784	+	1.52435i	−0.851094	+	0.525013i	$0.824060\pi$
$278$	−1218.92	−	1284.60i	−0.262972	−	0.277141i
$279$	−352.770	+	70.1704i	−0.0756983	+	0.0150573i
$280$	920.994	+	469.432i	0.196571	+	0.100193i
$281$	−677.020	+	3403.61i	−0.143728	+	0.722571i	0.839954	+	0.542657i	$0.182582\pi$
$281$	−677.020	+	3403.61i	−0.143728	+	0.722571i	−0.983682	+	0.179913i	$0.942418\pi$
$282$	306.556	−	1354.49i	0.0647346	−	0.286024i
$283$	58.2634	−	591.558i	0.0122382	−	0.124256i	−0.987124	−	0.159954i	$-0.948865\pi$
$283$	58.2634	−	591.558i	0.0122382	−	0.124256i	0.999363	+	0.0356979i	$0.0113654\pi$
$284$	−1202.13	−	63.1139i	−0.251174	−	0.0131870i
$285$	189.482	−	624.639i	0.0393823	−	0.129826i
$286$	709.426	+	9843.23i	0.146676	+	2.03511i
$287$	206.223	+	206.223i	0.0424144	+	0.0424144i
$288$	765.354	+	4642.43i	0.156594	+	0.949854i
$289$	−1067.47	+	1067.47i	−0.217274	+	0.217274i
$290$	5801.36	+	5021.34i	1.17472	+	1.01677i
$291$	160.394	+	48.6551i	0.0323110	+	0.00980142i
$292$	4690.13	−	1660.37i	0.939962	−	0.332759i
$293$	7167.65	+	705.952i	1.42914	+	0.140758i	0.782792	−	0.622283i	$-0.213795\pi$
$293$	7167.65	+	705.952i	1.42914	+	0.140758i	0.646349	+	0.763042i	$0.276295\pi$
$294$	−805.174	+	507.975i	−0.159724	+	0.100768i
$295$	7391.07	+	1470.18i	1.45873	+	0.290159i
$296$	2853.07	+	805.080i	0.560240	+	0.158089i
$297$	−450.449	−	2264.56i	−0.0880058	−	0.442435i
$298$	7020.69	+	184.172i	1.36476	+	0.0358013i
$299$	−8212.65	−	4389.76i	−1.58846	−	0.849051i
$300$	−1101.31	−	398.243i	−0.211948	−	0.0766420i
$301$	−1102.73	+	108.610i	−0.211165	+	0.0207979i
$302$	1012.81	+	1302.30i	0.192982	+	0.248143i
$303$	27.3974	+	66.1431i	0.00519451	+	0.0125407i
$304$	2342.71	−	951.956i	0.441986	−	0.179600i
$305$	2227.99	−	5378.85i	0.418277	−	1.00981i
$306$	−4135.44	+	1136.94i	−0.772573	+	0.212400i
$307$	4664.64	−	5683.88i	0.867183	−	1.05666i	−0.130687	−	0.991424i	$-0.541718\pi$
$307$	4664.64	−	5683.88i	0.867183	−	1.05666i	0.997870	−	0.0652413i	$-0.0207817\pi$
$308$	−231.064	−	935.812i	−0.0427470	−	0.173126i
$309$	−281.598	−	928.304i	−0.0518432	−	0.170904i
$310$	601.344	−	230.802i	0.110174	−	0.0422860i
$311$	−4922.63	−	3289.19i	−0.897545	−	0.599721i	0.0189261	−	0.999821i	$-0.493975\pi$
$311$	−4922.63	−	3289.19i	−0.897545	−	0.599721i	−0.916471	+	0.400100i	$0.868975\pi$
$312$	1700.33	+	665.772i	0.308533	+	0.120807i
$313$	395.221	+	591.490i	0.0713712	+	0.106815i	0.865438	−	0.501016i	$-0.167040\pi$
$313$	395.221	+	591.490i	0.0713712	+	0.106815i	−0.794067	+	0.607830i	$0.792040\pi$
$314$	5838.30	−	1002.92i	1.04928	−	0.180249i
$315$	917.912	−	753.311i	0.164186	−	0.134744i
$316$	794.483	+	1335.69i	0.141434	+	0.237780i
$317$	944.761	+	1767.52i	0.167391	+	0.313167i	0.951605	−	0.307324i	$-0.0994334\pi$
$317$	944.761	+	1767.52i	0.167391	+	0.313167i	−0.784214	+	0.620491i	$0.786933\pi$
$318$	−245.156	+	737.926i	−0.0432317	+	0.130128i
$319$		−	7154.48i		−	1.25572i
$320$	−2758.33	−	7961.57i	−0.481860	−	1.39083i
$321$		−	1483.51i		−	0.257948i
$322$	863.170	+	286.765i	0.149387	+	0.0496298i
$323$	1086.59	+	2032.86i	0.187181	+	0.350191i
$324$	5027.38	+	1277.29i	0.862034	+	0.219014i
$325$	9061.74	−	7436.78i	1.54663	−	1.26929i
$326$	−609.464	−	3547.87i	−0.103543	−	0.602755i
$327$	−61.1151	−	91.4653i	−0.0103354	−	0.0154680i
$328$	−46.3391	−	2376.71i	−0.00780076	−	0.400097i
$329$	−1128.95	−	754.343i	−0.189183	−	0.126408i
$330$	726.713	+	1893.42i	0.121225	+	0.315846i
$331$	1901.27	+	6267.66i	0.315720	+	1.04079i	0.960932	+	0.276786i	$0.0892693\pi$
$331$	1901.27	+	6267.66i	0.315720	+	1.04079i	−0.645211	+	0.764004i	$0.723231\pi$
$332$	−5940.62	+	9836.10i	−0.982030	+	1.62598i
$333$	2160.31	−	2632.34i	0.355508	−	0.433188i
$334$	2503.60	+	9106.44i	0.410152	+	1.49186i
$335$	−4757.13	+	11484.7i	−0.775850	+	1.87307i
$336$	−174.689	−	35.9721i	−0.0283633	−	0.00584059i
$337$	−447.643	−	1080.71i	−0.0723580	−	0.174688i	0.883562	−	0.468313i	$-0.155138\pi$
$337$	−447.643	−	1080.71i	−0.0723580	−	0.174688i	−0.955921	+	0.293626i	$0.905138\pi$
$338$	−9523.32	+	7406.32i	−1.53255	+	1.19187i
$339$	−1744.10	+	171.779i	−0.279430	+	0.0275214i
$340$	6954.09	−	3260.44i	1.10923	−	0.520066i
$341$	−529.695	−	283.128i	−0.0841190	−	0.0449625i
$342$	76.1739	−	2903.78i	0.0120439	−	0.459118i
$343$	367.351	+	1846.80i	0.0578283	+	0.290722i
$344$	7092.04	+	5592.53i	1.11156	+	0.876538i
$345$	−1876.95	−	373.348i	−0.292903	−	0.0582620i
$346$	−6411.57	−	10162.8i	−0.996209	−	1.57906i
$347$	11323.7	+	1115.28i	1.75183	+	0.172540i	0.922444	−	0.386131i	$-0.126189\pi$
$347$	11323.7	+	1115.28i	1.75183	+	0.172540i	0.829389	+	0.558672i	$0.188689\pi$
$348$	−1194.79	−	570.023i	−0.184045	−	0.0878059i
$349$	−4467.84	−	1355.30i	−0.685266	−	0.207873i	−0.0715937	−	0.997434i	$-0.522809\pi$
$349$	−4467.84	−	1355.30i	−0.685266	−	0.207873i	−0.613673	+	0.789561i	$0.710309\pi$
$350$	−749.337	+	865.739i	−0.114439	+	0.132216i
$351$	3023.92	−	3023.92i	0.459843	−	0.459843i
$352$	−3930.00	+	6803.28i	−0.595084	+	1.03016i
$353$	2310.57	+	2310.57i	0.348384	+	0.348384i	0.859507	−	0.511124i	$-0.170771\pi$
$353$	2310.57	+	2310.57i	0.348384	+	0.348384i	−0.511124	+	0.859507i	$0.670771\pi$
$354$	−1296.84	+	93.4664i	−0.194707	+	0.0140330i
$355$	718.834	−	2369.68i	0.107470	−	0.354280i
$356$	−5688.73	+	5121.19i	−0.846916	+	0.762423i
$357$	15.9353	−	161.794i	0.00236243	−	0.0239861i
$358$	−1634.79	−	369.995i	−0.241344	−	0.0546225i
$359$	−296.721	+	1491.72i	−0.0436222	+	0.219303i	−0.996448	−	0.0842156i	$-0.973162\pi$
$359$	−296.721	+	1491.72i	−0.0436222	+	0.219303i	0.952825	+	0.303519i	$0.0981616\pi$
$360$	−9648.88	−	760.745i	−1.41261	−	0.111374i
$361$	5196.04	−	1033.56i	0.757551	−	0.150686i
$362$	3511.70	−	3332.16i	0.509864	−	0.483797i
$363$	261.613	−	489.443i	0.0378267	−	0.0707688i
$364$	1203.39	−	1318.79i	0.173282	−	0.189899i
$365$	1003.18	+	10185.5i	0.143860	+	1.46064i
$366$	−124.640	+	996.741i	−0.0178006	+	0.142351i
$367$	−4280.78	+	1773.16i	−0.608869	+	0.252202i	−0.665745	−	0.746179i	$-0.731886\pi$
$367$	−4280.78	+	1773.16i	−0.608869	+	0.252202i	0.0568757	+	0.998381i	$0.481886\pi$
$368$	−3450.72	−	6561.72i	−0.488808	−	0.929493i
$369$	−2522.80	−	1044.98i	−0.355912	−	0.147424i
$370$	−3014.72	+	5300.91i	−0.423589	+	0.744814i
$371$	587.678	+	482.295i	0.0822391	+	0.0674919i
$372$	−89.4847	+	65.9007i	−0.0124720	+	0.00918492i
$373$	−11402.3	+	3458.85i	−1.58281	+	0.480141i	−0.954597	−	0.297899i	$-0.903714\pi$
$373$	−11402.3	+	3458.85i	−1.58281	+	0.480141i	−0.628215	+	0.778040i	$0.716214\pi$
$374$	−6542.48	−	2913.27i	−0.904555	−	0.402785i
$375$	191.131	−	286.048i	0.0263199	−	0.0393905i
$376$	2370.28	+	10810.4i	0.325101	+	1.48272i
$377$	11017.9	−	7361.93i	1.50518	−	1.00573i
$378$	−241.088	+	341.098i	−0.0328048	+	0.0464132i
$379$	−1471.72	−	1793.30i	−0.199465	−	0.243049i	0.663666	−	0.748029i	$-0.269000\pi$
$379$	−1471.72	−	1793.30i	−0.199465	−	0.243049i	−0.863131	+	0.504980i	$0.831500\pi$
$380$	745.945	+	5148.08i	0.100700	+	0.694977i
$381$	−2159.26	+	1154.15i	−0.290347	+	0.155194i
$382$	1367.54	−	685.480i	0.183166	−	0.0918120i
$383$	638.021			0.0851210			0.0425605	−	0.999094i	$-0.486448\pi$
$383$	638.021			0.0851210			0.0425605	+	0.999094i	$0.486448\pi$
$384$	823.024	+	1198.35i	0.109374	+	0.159252i
$385$	1982.87			0.262484
$386$	−688.016	+	344.868i	−0.0907230	+	0.0454749i
$387$	9149.83	−	4890.69i	1.20184	−	0.642397i
$388$	−1321.92	+	191.543i	−0.172965	+	0.0250622i
$389$	−4626.74	−	5637.69i	−0.603046	−	0.734813i	0.378593	−	0.925563i	$-0.376408\pi$
$389$	−4626.74	−	5637.69i	−0.603046	−	0.734813i	−0.981639	+	0.190750i	$0.938908\pi$
$390$	−2168.08	+	3067.46i	−0.281500	+	0.398274i
$391$	5619.00	−	3754.49i	0.726765	−	0.485609i
$392$	4091.25	−	6389.18i	0.527141	−	0.823220i
$393$	−1432.41	+	2143.76i	−0.183857	+	0.275161i
$394$	7494.83	+	3337.34i	0.958336	+	0.426732i
$395$	−3059.30	+	928.028i	−0.389696	+	0.118213i
$396$	5351.86	+	7267.14i	0.679144	+	0.922191i
$397$	8388.55	+	6884.30i	1.06048	+	0.870311i	0.991860	−	0.127332i	$-0.0406415\pi$
$397$	8388.55	+	6884.30i	1.06048	+	0.870311i	0.0686166	+	0.997643i	$0.478141\pi$
$398$	92.2523	−	162.211i	0.0116186	−	0.0204294i
$399$	101.729	+	42.1374i	0.0127639	+	0.00528699i
$400$	9293.77	−	852.225i	1.16172	−	0.106528i
$401$	−6670.80	+	2763.14i	−0.830733	+	0.344101i	−0.757193	−	0.653191i	$-0.773430\pi$
$401$	−6670.80	+	2763.14i	−0.830733	+	0.344101i	−0.0735403	+	0.997292i	$0.523430\pi$
$402$	266.126	−	2128.21i	0.0330178	−	0.264043i
$403$	−109.037	−	1107.07i	−0.0134777	−	0.136841i
$404$	−421.447	−	384.569i	−0.0519004	−	0.0473590i
$405$	−5029.97	+	9410.41i	−0.617139	+	1.15459i
$406$	−938.882	+	890.883i	−0.114768	+	0.108901i
$407$	5577.11	−	1109.36i	0.679231	−	0.135107i
$408$	−1007.78	+	860.477i	−0.122285	+	0.104412i
$409$	−1448.12	+	7280.19i	−0.175073	+	0.880152i	0.788975	+	0.614425i	$0.210612\pi$
$409$	−1448.12	+	7280.19i	−0.175073	+	0.880152i	−0.964048	+	0.265727i	$0.914388\pi$
$410$	4769.41	+	1079.44i	0.574499	+	0.130024i
$411$	−277.099	+	2813.43i	−0.0332562	+	0.337656i
$412$	5172.31	+	5745.51i	0.618499	+	0.687042i
$413$	−369.013	+	1216.47i	−0.0439659	+	0.144936i
$414$	−8494.18	+	612.197i	−1.00837	+	0.0726759i
$415$	−16714.4	−	16714.4i	−1.97706	−	1.97706i
$416$	−14521.0	+	948.348i	−1.71142	+	0.111771i
$417$	−444.429	+	444.429i	−0.0521913	+	0.0521913i
$418$	3174.42	−	3667.53i	0.371449	−	0.429151i
$419$	7289.44	+	2211.23i	0.849911	+	0.257818i	0.685047	−	0.728499i	$-0.259782\pi$
$419$	7289.44	+	2211.23i	0.849911	+	0.257818i	0.164864	+	0.986316i	$0.447282\pi$
$420$	157.982	−	331.136i	0.0183541	−	0.0384710i
$421$	4031.36	+	397.054i	0.466690	+	0.0459649i	0.328629	−	0.944459i	$-0.393413\pi$
$421$	4031.36	+	397.054i	0.466690	+	0.0459649i	0.138060	+	0.990424i	$0.455913\pi$
$422$	3076.74	+	4876.84i	0.354913	+	0.562561i
$423$	12468.7	+	2480.17i	1.43321	+	0.285083i
$424$	−727.482	−	6153.86i	−0.0833246	−	0.704853i
$425$	1659.67	+	8343.70i	0.189425	+	0.952304i
$426$	−11.2041	+	427.103i	−0.00127427	+	0.0485756i
$427$	866.139	+	462.961i	0.0981626	+	0.0524690i
$428$	5018.69	+	10704.2i	0.566793	+	1.20890i
$429$	3485.76	−	343.317i	0.392294	−	0.0386376i
$430$	−14666.1	+	11405.9i	−1.64480	+	1.27916i
$431$	−2915.07	−	7037.60i	−0.325786	−	0.786518i	−0.998896	−	0.0469751i	$-0.985042\pi$
$431$	−2915.07	−	7037.60i	−0.325786	−	0.786518i	0.673110	−	0.739543i	$-0.264958\pi$
$432$	3343.60	−	641.714i	0.372382	−	0.0714687i
$433$	4338.46	−	10474.0i	0.481508	−	1.16246i	−0.477384	−	0.878695i	$-0.658415\pi$
$433$	4338.46	−	10474.0i	0.481508	−	1.16246i	0.958893	−	0.283769i	$-0.0915850\pi$
$434$	28.8032	+	104.767i	0.00318571	+	0.0115875i
$435$	1727.57	−	2105.05i	0.190415	−	0.232022i
$436$	750.402	+	453.214i	0.0824260	+	0.0497821i
$437$	1328.63	+	4379.92i	0.145440	+	0.479451i
$438$	−632.749	−	1648.60i	−0.0690272	−	0.179847i
$439$	−8321.85	−	5560.48i	−0.904739	−	0.604527i	0.0137796	−	0.999905i	$-0.495614\pi$
$439$	−8321.85	−	5560.48i	−0.904739	−	0.604527i	−0.918519	+	0.395378i	$0.870614\pi$
$440$	−11649.0	−	11203.4i	−1.26215	−	1.21387i
$441$	−4841.81	−	7246.29i	−0.522818	−	0.782452i
$442$	−2245.75	−	13073.2i	−0.241673	−	1.40685i
$443$	−7267.31	+	5964.12i	−0.779413	+	0.639648i	−0.937582	−	0.347764i	$-0.886941\pi$
$443$	−7267.31	+	5964.12i	−0.779413	+	0.639648i	0.158169	+	0.987412i	$0.449441\pi$
$444$	259.087	−	1019.76i	0.0276931	−	0.108999i
$445$	−7422.43	−	13886.4i	−0.790689	−	1.47928i
$446$	−5981.69	−	1987.25i	−0.635070	−	0.210985i
$447$		−	2492.65i		−	0.263754i
$448$	1382.16	−	331.417i	0.145761	−	0.0349509i
$449$		−	3404.36i		−	0.357822i	−0.983865	−	0.178911i	$-0.942743\pi$
$449$		−	3404.36i		−	0.357822i	0.983865	−	0.178911i	$-0.0572573\pi$
$450$	3379.98	−	10173.8i	0.354075	−	1.06578i
$451$	−2149.47	−	4021.38i	−0.224423	−	0.419865i
$452$	12003.4	−	7139.77i	1.24910	−	0.742979i
$453$	452.629	−	371.463i	0.0469457	−	0.0385273i
$454$	775.699	−	133.252i	0.0801880	−	0.0137750i
$455$	2040.36	+	3053.61i	0.210228	+	0.314628i
$456$	−359.557	−	822.330i	−0.0369250	−	0.0844499i
$457$	−1564.84	−	1045.59i	−0.160176	−	0.107026i	0.472899	−	0.881117i	$-0.343207\pi$
$457$	−1564.84	−	1045.59i	−0.160176	−	0.107026i	−0.633075	+	0.774091i	$0.718207\pi$
$458$	−1294.82	+	496.966i	−0.132103	+	0.0507024i
$459$	900.882	+	2969.81i	0.0916112	+	0.302002i
$460$	14806.1	−	3655.82i	1.50074	−	0.370551i
$461$	−9891.34	+	12052.6i	−0.999318	+	1.21767i	−0.0233566	+	0.999727i	$0.507435\pi$
$461$	−9891.34	+	12052.6i	−0.999318	+	1.21767i	−0.975961	+	0.217945i	$0.930065\pi$
$462$	−329.874	+	90.6911i	−0.0332189	+	0.00913275i
$463$	6078.12	−	14673.9i	0.610096	−	1.47290i	−0.252800	−	0.967519i	$-0.581351\pi$
$463$	6078.12	−	14673.9i	0.610096	−	1.47290i	0.862895	−	0.505383i	$-0.168649\pi$
$464$	10549.4	+	71.0194i	1.05548	+	0.00710559i
$465$	−87.4851	−	211.208i	−0.00872479	−	0.0210635i
$466$	−692.941	−	891.010i	−0.0688839	−	0.0885735i
$467$	4376.28	−	431.026i	0.433640	−	0.0427098i	0.121158	−	0.992633i	$-0.461339\pi$
$467$	4376.28	−	431.026i	0.433640	−	0.0427098i	0.312483	+	0.949923i	$0.398839\pi$
$468$	−5684.36	+	15719.7i	−0.561453	+	1.55266i
$469$	−1849.35	−	988.498i	−0.182079	−	0.0973232i
$470$	−22758.4	−	597.014i	−2.23354	−	0.0585919i
$471$	−410.175	−	2062.09i	−0.0401271	−	0.201732i
$472$	9041.11	−	5061.60i	0.881676	−	0.493600i
$473$	16991.6	+	3379.84i	1.65175	+	0.328553i
$474$	466.507	−	294.313i	0.0452054	−	0.0285195i
$475$	−5734.00	−	564.749i	−0.553882	−	0.0545526i
$476$	432.368	+	1221.33i	0.0416335	+	0.117604i
$477$	−6811.69	−	2066.30i	−0.653848	−	0.198343i
$478$	6942.15	+	6008.75i	0.664282	+	0.574966i
$479$	5773.25	−	5773.25i	0.550703	−	0.550703i	−0.375941	−	0.926644i	$-0.622680\pi$
$479$	5773.25	−	5773.25i	0.550703	−	0.550703i	0.926644	+	0.375941i	$0.122680\pi$
$480$	−2799.08	+	1052.75i	−0.266167	+	0.100107i
$481$	7447.23	+	7447.23i	0.705955	+	0.705955i
$482$	−401.869	−	5575.91i	−0.0379765	−	0.526920i
$483$	93.7100	−	308.921i	0.00882806	−	0.0291022i
$484$	−231.878	+	4416.60i	−0.0217767	+	0.414782i
$485$	269.323	−	2734.49i	0.0252151	−	0.256014i
$486$	1303.17	−	5757.92i	0.121631	−	0.537417i
$487$	1522.29	−	7653.05i	0.141645	−	0.712100i	−0.843053	−	0.537831i	$-0.819244\pi$
$487$	1522.29	−	7653.05i	0.141645	−	0.712100i	0.984698	−	0.174269i	$-0.0557562\pi$
$488$	−2472.63	−	7613.62i	−0.229367	−	0.706255i
$489$	−1253.11	+	249.258i	−0.115884	+	0.0230508i
$490$	10742.5	+	11321.3i	0.990400	+	1.04376i
$491$	−1340.39	+	2507.70i	−0.123200	+	0.230491i	−0.935959	−	0.352109i	$-0.885465\pi$
$491$	−1340.39	+	2507.70i	−0.123200	+	0.230491i	0.812759	+	0.582600i	$0.197965\pi$
$492$	−842.822	+	38.5619i	−0.0772304	+	0.00353354i
$493$	942.570	+	9570.07i	0.0861079	+	0.874269i
$494$	8914.47	+	1114.73i	0.811905	+	0.101526i
$495$	−17152.4	+	7104.75i	−1.55746	+	0.645121i
$496$	422.734	−	778.231i	0.0382687	−	0.0704508i
$497$	385.926	+	159.856i	0.0348313	+	0.0144276i
$498$	3545.13	+	2016.18i	0.318998	+	0.181420i
$499$	−1104.94	−	906.805i	−0.0991265	−	0.0813510i	0.583525	−	0.812095i	$-0.301673\pi$
$499$	−1104.94	−	906.805i	−0.0991265	−	0.0813510i	−0.682651	+	0.730744i	$0.739173\pi$
$500$	−411.404	+	2710.57i	−0.0367971	+	0.242441i
$501$	3207.65	−	973.031i	0.286043	−	0.0867701i
$502$	−8420.90	+	18911.3i	−0.748692	+	1.68138i
$503$	−5249.01	+	7855.70i	−0.465292	+	0.696358i	−0.987704	−	0.156335i	$-0.950032\pi$
$503$	−5249.01	+	7855.70i	−0.465292	+	0.696358i	0.522412	+	0.852693i	$0.325032\pi$
$504$	287.248	−	1607.23i	0.0253870	−	0.142047i
$505$	975.850	−	652.042i	0.0859896	−	0.0574564i
$506$	−11612.9	−	8208.01i	−1.02027	−	0.721128i
$507$	2716.39	+	3309.93i	0.237947	+	0.289939i
$508$	11675.6	−	15632.5i	1.01973	−	1.36532i
$509$	−3176.73	+	1698.00i	−0.276633	+	0.147863i	−0.603879	−	0.797076i	$-0.706379\pi$
$509$	−3176.73	+	1698.00i	−0.276633	+	0.147863i	0.327247	+	0.944939i	$0.393879\pi$
$510$	−1221.52	−	2436.96i	−0.106059	−	0.211589i
$511$	−1726.48			−0.149462
$512$	−9992.52	−	5862.37i	−0.862522	−	0.506020i
$513$	−2101.90			−0.180899
$514$	−3457.68	−	6898.11i	−0.296715	−	0.591951i
$515$	−14025.0	+	7496.51i	−1.20003	+	0.641429i
$516$	1918.21	−	2568.30i	0.163652	−	0.219114i
$517$	13467.3	+	16410.0i	1.14563	+	1.39596i
$518$	−840.047	−	593.745i	−0.0712539	−	0.0503623i
$519$	−3546.07	+	2369.41i	−0.299913	+	0.200396i
$520$	5266.54	−	29467.8i	0.444141	−	2.48509i
$521$	−11114.3	+	16633.8i	−0.934602	+	1.39873i	−0.0176018	+	0.999845i	$0.505603\pi$
$521$	−11114.3	+	16633.8i	−0.934602	+	1.39873i	−0.917001	+	0.398886i	$0.869397\pi$
$522$	4929.52	−	11070.5i	0.413332	−	0.928242i
$523$	1608.29	−	487.868i	0.134466	−	0.0407897i	−0.222335	−	0.974970i	$-0.571368\pi$
$523$	1608.29	−	487.868i	0.134466	−	0.0407897i	0.356800	+	0.934181i	$0.383868\pi$
$524$	3083.23	−	20314.1i	0.257045	−	1.69356i
$525$	314.138	+	257.806i	0.0261144	+	0.0214316i
$526$	−8476.21	−	4820.58i	−0.702624	−	0.399595i
$527$	745.838	+	308.936i	0.0616494	+	0.0255360i
$528$	2450.37	+	1331.04i	0.201967	+	0.109708i
$529$	1156.56	−	479.064i	0.0950574	−	0.0393741i
$530$	12648.7	+	1581.68i	1.03665	+	0.129630i
$531$	−1166.64	−	11845.1i	−0.0953440	−	0.968044i
$532$	−876.572	+	40.1060i	−0.0714365	+	0.00326845i
$533$	3981.13	−	7448.17i	0.323531	−	0.605283i
$534$	1869.94	+	1970.69i	0.151536	+	0.159701i
$535$	−23852.3	+	4744.52i	−1.92752	+	0.383408i
$536$	5279.48	+	16256.3i	0.425446	+	1.31001i
$537$	−116.058	+	583.464i	−0.00932641	+	0.0468870i
$538$	−3059.69	+	13518.9i	−0.245190	+	1.08335i
$539$	1426.42	−	14482.7i	0.113990	−	1.15736i
$540$	−367.195	+	6993.99i	−0.0292622	+	0.557358i
$541$	−4434.25	+	14617.7i	−0.352390	+	1.16167i	0.584306	+	0.811533i	$0.301367\pi$
$541$	−4434.25	+	14617.7i	−0.352390	+	1.16167i	−0.936697	+	0.350142i	$0.886133\pi$
$542$	−1634.60	−	22679.9i	−0.129542	−	1.79739i
$543$	−1214.93	−	1214.93i	−0.0960179	−	0.0960179i
$544$	4360.59	−	9618.05i	0.343674	−	0.758034i
$545$	−1275.15	+	1275.15i	−0.100223	+	0.100223i
$546$	−479.104	−	414.686i	−0.0375526	−	0.0325035i
$547$	12546.7	+	3806.01i	0.980729	+	0.297501i	0.739641	−	0.673002i	$-0.234996\pi$
$547$	12546.7	+	3806.01i	0.980729	+	0.297501i	0.241089	+	0.970503i	$0.422496\pi$
$548$	−7518.43	−	21237.7i	−0.586079	−	1.65553i
$549$	−9151.19	−	901.314i	−0.711409	−	0.0700676i
$550$	15140.5	−	9551.95i	1.17381	−	0.740539i
$551$	−6387.84	−	1270.62i	−0.493886	−	0.0982401i
$552$	−2295.97	+	1285.38i	−0.177035	+	0.0991115i
$553$	−105.210	−	528.926i	−0.00809038	−	0.0406731i
$554$	−22530.5	−	591.037i	−1.72785	−	0.0453262i
$555$	1908.81	+	1020.28i	0.145990	+	0.0780335i
$556$	1703.27	−	4710.27i	0.129918	−	0.359280i
$557$	−5600.41	+	551.593i	−0.426027	+	0.0419600i	−0.308759	−	0.951140i	$-0.599914\pi$
$557$	−5600.41	+	551.593i	−0.426027	+	0.0419600i	−0.117268	+	0.993100i	$0.537414\pi$
$558$	−624.545	−	803.063i	−0.0473819	−	0.0609254i
$559$	12279.3	+	29645.0i	0.929089	+	2.24302i
$560$	−19.6830	+	2923.76i	−0.00148529	+	0.220628i
$561$	−972.730	+	2348.38i	−0.0732062	+	0.176735i
$562$	−9464.30	+	2601.99i	−0.710369	+	0.195299i
$563$	10842.5	−	13211.6i	0.811645	−	0.988993i	−0.188331	−	0.982106i	$-0.560308\pi$
$563$	10842.5	−	13211.6i	0.811645	−	0.988993i	0.999976	−	0.00688703i	$-0.00219223\pi$
$564$	3813.44	−	941.588i	0.284707	−	0.0702979i
$565$	8339.89	+	27492.9i	0.620994	+	2.04714i
$566$	1569.63	−	602.441i	0.116566	−	0.0447394i
$567$	−1496.61	−	1000.00i	−0.110850	−	0.0740674i
$568$	−1364.04	−	3119.66i	−0.100764	−	0.230454i
$569$	4634.24	+	6935.63i	0.341437	+	0.510996i	0.961959	−	0.273193i	$-0.0880796\pi$
$569$	4634.24	+	6935.63i	0.341437	+	0.510996i	−0.620523	+	0.784188i	$0.713080\pi$
$570$	1819.59	−	312.575i	0.133709	−	0.0229690i
$571$	15939.4	−	13081.1i	1.16820	−	0.958720i	0.168567	−	0.985690i	$-0.446086\pi$
$571$	15939.4	−	13081.1i	1.16820	−	0.958720i	0.999636	+	0.0269703i	$0.00858595\pi$
$572$	−23990.0	+	14269.5i	−1.75362	+	1.04307i
$573$	−255.935	−	478.821i	−0.0186594	−	0.0349093i
$574$	−260.071	+	782.820i	−0.0189114	+	0.0569238i
$575$			16892.3i			1.22514i
$576$	−10768.6	+	7819.24i	−0.778980	+	0.565628i
$577$		−	8375.62i		−	0.604301i	−0.953260	−	0.302150i	$-0.902296\pi$
$577$		−	8375.62i		−	0.604301i	0.953260	−	0.302150i	$-0.0977044\pi$
$578$	−4052.10	−	1346.20i	−0.291601	−	0.0968765i
$579$	128.762	+	240.897i	0.00924210	+	0.0172908i
$580$	−5343.87	+	21033.3i	−0.382573	+	1.50579i
$581$	3082.31	−	2529.58i	0.220096	−	0.180628i
$582$	80.2630	+	467.234i	0.00571651	+	0.0332774i
$583$	−6603.68	−	9883.11i	−0.469120	−	0.702087i
$584$	10142.8	+	9754.84i	0.718684	+	0.691195i
$585$	−28591.1	−	19103.9i	−2.02067	−	1.35017i
$586$	7299.52	+	19018.6i	0.514574	+	1.34070i
$587$	−73.7893	−	243.251i	−0.00518843	−	0.0171040i	0.954308	−	0.298825i	$-0.0965947\pi$
$587$	−73.7893	−	243.251i	−0.00518843	−	0.0171040i	−0.959496	+	0.281721i	$0.909095\pi$
$588$	−2304.95	−	1392.10i	−0.161658	−	0.0976349i
$589$	−346.862	+	422.652i	−0.0242652	+	0.0295672i
$590$	5650.31	+	20552.1i	0.394270	+	1.43410i
$591$	1114.33	−	2690.22i	0.0775587	−	0.187243i
$592$	1580.40	+	8234.53i	0.109719	+	0.571684i
$593$	−10605.4	−	25603.8i	−0.734424	−	1.77306i	−0.627254	−	0.778815i	$-0.715821\pi$
$593$	−10605.4	−	25603.8i	−0.734424	−	1.77306i	−0.107170	−	0.994241i	$-0.534179\pi$
$594$	5155.16	−	4009.18i	0.356092	−	0.276934i
$595$	−2652.35	+	261.233i	−0.182749	+	0.0179992i
$596$	8432.61	+	17985.6i	0.579552	+	1.23611i
$597$	−58.4109	−	31.2213i	−0.00400435	−	0.00214037i
$598$	690.705	−	26329.9i	0.0472325	−	1.80052i
$599$	−1780.99	−	8953.65i	−0.121485	−	0.610745i	−0.992776	−	0.119980i	$-0.961717\pi$
$599$	−1780.99	−	8953.65i	−0.121485	−	0.610745i	0.871292	−	0.490766i	$-0.163283\pi$
$600$	−388.868	−	3289.49i	−0.0264591	−	0.223821i
$601$	1704.45	+	339.035i	0.115683	+	0.0230109i	0.252593	−	0.967573i	$-0.418717\pi$
$601$	1704.45	+	339.035i	0.115683	+	0.0230109i	−0.136909	+	0.990584i	$0.543717\pi$
$602$	−1672.28	−	2650.67i	−0.113217	−	0.179457i
$603$	19539.3	+	1924.45i	1.31957	+	0.129966i
$604$	−2009.28	+	4211.53i	−0.135358	+	0.283716i
$605$	−8706.12	−	2640.97i	−0.585048	−	0.177472i
$606$	−132.522	+	153.108i	−0.00888340	+	0.0102634i
$607$	−14860.5	+	14860.5i	−0.993690	+	0.993690i	−0.999980	−	0.00629001i	$-0.997998\pi$
$607$	−14860.5	+	14860.5i	−0.993690	+	0.993690i	0.00629001	+	0.999980i	$0.497998\pi$
$608$	5376.32	+	4717.13i	0.358616	+	0.314646i
$609$	324.822	+	324.822i	0.0216133	+	0.0216133i
$610$	16424.6	−	1183.76i	1.09018	−	0.0785722i
$611$	−11413.6	+	37625.5i	−0.755719	+	2.49127i
$612$	−8116.23	−	9015.68i	−0.536077	−	0.595486i
$613$	468.400	−	4755.74i	0.0308621	−	0.313349i	−0.967343	−	0.253469i	$-0.918428\pi$
$613$	468.400	−	4755.74i	0.0308621	−	0.313349i	0.998206	−	0.0598794i	$-0.0190716\pi$
$614$	20284.2	+	4590.83i	1.33323	+	0.301744i
$615$	338.594	−	1702.23i	0.0222007	−	0.111611i
$616$	2073.39	−	1770.34i	0.135616	−	0.115794i
$617$	4040.88	−	803.782i	0.263663	−	0.0524458i	−0.0614886	−	0.998108i	$-0.519585\pi$
$617$	4040.88	−	803.782i	0.263663	−	0.0524458i	0.325151	+	0.945662i	$0.394585\pi$
$618$	1990.36	−	1888.60i	0.129553	−	0.122930i
$619$	10710.9	−	20038.6i	0.695486	−	1.30116i	−0.247681	−	0.968842i	$-0.579668\pi$
$619$	10710.9	−	20038.6i	0.695486	−	1.30116i	0.943166	−	0.332321i	$-0.107832\pi$
$620$	1345.76	+	1228.00i	0.0871728	+	0.0795449i
$621$	604.016	+	6132.68i	0.0390311	+	0.396290i
$622$	2077.78	−	16616.0i	0.133941	−	1.07113i
$623$	2453.91	−	1016.44i	0.157807	−	0.0653658i
$624$	471.625	+	5143.21i	0.0302566	+	0.329957i
$625$	11630.1	+	4817.33i	0.744324	+	0.308309i
$626$	−994.697	+	1749.01i	−0.0635081	+	0.111669i
$627$	−1330.78	−	1092.14i	−0.0847628	−	0.0695631i
$628$	9935.64	+	13491.3i	0.631330	+	0.857266i
$629$	−7313.97	+	2218.67i	−0.463636	+	0.140642i
$630$	3068.19	+	1366.22i	0.194031	+	0.0863990i
$631$	−3759.47	+	5626.44i	−0.237182	+	0.354969i	−0.930897	−	0.365281i	$-0.880973\pi$
$631$	−3759.47	+	5626.44i	−0.237182	+	0.354969i	0.693715	+	0.720250i	$0.255973\pi$
$632$	−2370.41	+	3701.80i	−0.149193	+	0.232990i
$633$	1701.66	−	1137.01i	0.106848	−	0.0713937i
$634$	−3271.86	+	4629.11i	−0.204956	+	0.289977i
$635$	25462.5	+	31026.2i	1.59126	+	1.93896i
$636$	−2176.61	+	315.385i	−0.135705	+	0.0196633i
$637$	23771.2	−	12706.0i	1.47857	−	0.790312i
$638$	18090.5	−	9067.87i	1.12259	−	0.562697i
$639$	−3911.15			−0.242133
$640$	16635.3	−	17065.4i	1.02745	−	1.05401i
$641$	−10239.6			−0.630953			−0.315477	−	0.948933i	$-0.602164\pi$
$641$	−10239.6			−0.630953			−0.315477	+	0.948933i	$0.602164\pi$
$642$	3751.13	−	1880.25i	0.230600	−	0.115588i
$643$	−21278.0	+	11373.3i	−1.30501	+	0.697544i	−0.969639	−	0.244540i	$-0.921363\pi$
$643$	−21278.0	+	11373.3i	−1.30501	+	0.697544i	−0.335375	+	0.942085i	$0.608863\pi$
$644$	368.914	+	2546.03i	0.0225734	+	0.155788i
$645$	4183.29	+	5097.36i	0.255375	+	0.311176i
$646$	−3763.03	+	5324.03i	−0.229186	+	0.324259i
$647$	15280.3	−	10210.0i	0.928485	−	0.620394i	0.00333424	−	0.999994i	$-0.498939\pi$
$647$	15280.3	−	10210.0i	0.928485	−	0.620394i	0.925150	+	0.379601i	$0.123939\pi$
$648$	3142.19	+	14330.9i	0.190489	+	0.868783i
$649$	11042.1	−	16525.6i	0.667856	−	0.999517i
$650$	30289.5	+	13487.5i	1.82777	+	0.813879i
$651$	36.9032	−	11.1944i	0.00222173	−	0.000673956i
$652$	8198.53	−	6037.77i	0.492453	−	0.362665i
$653$	−24018.7	−	19711.6i	−1.43939	−	1.18128i	−0.951212	−	0.308539i	$-0.900160\pi$
$653$	−24018.7	−	19711.6i	−1.43939	−	1.18128i	−0.488183	−	0.872741i	$-0.662340\pi$
$654$	153.815	−	270.460i	0.00919672	−	0.0161710i
$655$	39049.2	+	16174.7i	2.32943	+	0.964883i
$656$	5950.91	−	3129.50i	0.354183	−	0.186260i
$657$	14934.6	−	6186.10i	0.886839	−	0.367341i
$658$	476.518	−	3810.71i	0.0282319	−	0.225770i
$659$	2847.54	+	28911.6i	0.168323	+	1.70901i	0.594275	+	0.804262i	$0.297439\pi$
$659$	2847.54	+	28911.6i	0.168323	+	1.70901i	−0.425953	+	0.904745i	$0.640061\pi$
$660$	−3866.55	+	4237.33i	−0.228038	+	0.249906i
$661$	5583.94	−	10446.8i	0.328578	−	0.614726i	−0.662339	−	0.749205i	$-0.730436\pi$
$661$	5583.94	−	10446.8i	0.328578	−	0.614726i	0.990917	+	0.134479i	$0.0429359\pi$
$662$	−13438.4	+	12751.3i	−0.788969	+	0.748633i
$663$	−4617.44	+	918.466i	−0.270477	+	0.0538013i
$664$	−32400.5	−	2554.55i	−1.89365	−	0.149301i
$665$	352.153	−	1770.39i	0.0205352	−	0.103237i
$666$	9394.09	+	2126.13i	0.546567	+	0.123702i
$667$	−1871.62	+	19002.8i	−0.108650	+	1.10314i
$668$	−19853.0	+	17872.4i	−1.14990	+	1.03518i
$669$	−649.402	+	2140.79i	−0.0375296	+	0.123719i
$670$	−35069.1	+	2527.52i	−2.02215	+	0.145741i
$671$	−10857.7	−	10857.7i	−0.624673	−	0.624673i
$672$	−130.451	−	487.304i	−0.00748846	−	0.0279735i
$673$	−9458.32	+	9458.32i	−0.541740	+	0.541740i	−0.924039	−	0.382298i	$-0.875133\pi$
$673$	−9458.32	+	9458.32i	−0.541740	+	0.541740i	0.382298	+	0.924039i	$0.375133\pi$
$674$	2165.26	−	2501.62i	0.123743	−	0.142965i
$675$	−7423.42	−	2251.87i	−0.423300	−	0.128407i
$676$	−30797.5	−	14693.2i	−1.75225	−	0.835981i
$677$	−18871.8	−	1858.71i	−1.07135	−	0.105519i	−0.453068	−	0.891476i	$-0.649671\pi$
$677$	−18871.8	−	1858.71i	−1.07135	−	0.105519i	−0.618281	+	0.785957i	$0.712171\pi$
$678$	−2644.90	−	4192.35i	−0.149818	−	0.237472i
$679$	454.600	+	90.4256i	0.0256936	+	0.00511078i
$680$	17058.1	+	13451.4i	0.961983	+	0.758585i
$681$	−54.4974	−	273.977i	−0.00306659	−	0.0154168i
$682$	44.5486	−	1698.21i	0.00250125	−	0.0953487i
$683$	−24345.5	−	13013.0i	−1.36392	−	0.729029i	−0.383054	−	0.923726i	$-0.625128\pi$
$683$	−24345.5	−	13013.0i	−1.36392	−	0.729029i	−0.980863	+	0.194697i	$0.937628\pi$
$684$	7438.91	−	3487.75i	0.415839	−	0.194967i
$685$	46121.6	−	4542.58i	2.57258	−	0.253377i
$686$	−4204.14	+	3269.57i	−0.233987	+	0.181972i
$687$	188.374	+	454.776i	0.0104613	+	0.0252559i
$688$	−5152.29	+	25020.8i	−0.285508	+	1.38650i
$689$	8424.84	−	20339.4i	0.465836	−	1.12463i
$690$	−1434.88	−	5219.16i	−0.0791668	−	0.287957i
$691$	14585.7	−	17772.7i	0.802990	−	0.978446i	−0.197008	−	0.980402i	$-0.563123\pi$
$691$	14585.7	−	17772.7i	0.802990	−	0.978446i	0.999998	+	0.00195594i	$0.000622595\pi$
$692$	17570.9	−	29092.7i	0.965238	−	1.59818i
$693$	−909.112	−	2996.94i	−0.0498330	−	0.164278i
$694$	11532.0	+	30046.1i	0.630761	+	1.64342i
$695$	8567.05	+	5724.32i	0.467578	+	0.312426i
$696$	−72.9890	−	3743.57i	−0.00397506	−	0.203879i
$697$	3405.00	+	5095.94i	0.185041	+	0.276934i
$698$	−2235.75	−	13014.9i	−0.121238	−	0.705764i
$699$	−309.680	+	254.148i	−0.0167570	+	0.0137521i
$700$	−3138.81	−	797.468i	−0.169480	−	0.0430593i
$701$	4543.73	+	8500.72i	0.244814	+	0.458014i	0.974076	−	0.226220i	$-0.0726368\pi$
$701$	4543.73	+	8500.72i	0.244814	+	0.458014i	−0.729263	+	0.684234i	$0.760137\pi$
$702$	11478.8	+	3813.51i	0.617149	+	0.205031i
$703$		−	5176.51i		−	0.277718i
$704$	−22183.5	−	1314.47i	−1.18760	−	0.0703709i
$705$			8080.20i			0.431657i
$706$	−2913.91	+	8770.93i	−0.155335	+	0.467561i
$707$	93.3270	+	174.602i	0.00496453	+	0.00928798i
$708$	−1880.00	−	3160.67i	−0.0997947	−	0.167776i
$709$	20877.3	−	17133.6i	1.10587	−	0.907567i	0.109614	−	0.993974i	$-0.465039\pi$
$709$	20877.3	−	17133.6i	1.10587	−	0.907567i	0.996260	+	0.0864071i	$0.0275386\pi$
$710$	6902.94	−	1185.81i	0.364877	−	0.0626798i
$711$	2805.28	+	4198.39i	0.147969	+	0.221452i
$712$	−20159.3	−	7893.48i	−1.06110	−	0.415478i
$713$	1332.84	+	890.576i	0.0700074	+	0.0467775i
$714$	429.303	−	164.771i	0.0225018	−	0.00863641i
$715$	−16668.1	−	54947.3i	−0.871819	−	2.87400i
$716$	−1136.44	−	4602.60i	−0.0593167	−	0.240234i
$717$	2067.28	−	2518.99i	0.107677	−	0.131204i
$718$	−4147.97	+	1140.39i	−0.215600	+	0.0592741i
$719$	7935.23	−	19157.3i	0.411591	−	0.993669i	−0.573119	−	0.819472i	$-0.694267\pi$
$719$	7935.23	−	19157.3i	0.411591	−	0.993669i	0.984711	−	0.174198i	$-0.0557331\pi$
$720$	−10305.8	−	25361.9i	−0.533436	−	1.31276i
$721$	−1026.59	−	2478.40i	−0.0530266	−	0.128017i
$722$	9199.08	+	11828.5i	0.474175	+	0.609712i
$723$	−1974.58	+	194.480i	−0.101571	+	0.0100038i
$724$	12876.4	+	4656.21i	0.660979	+	0.239015i
$725$	−21199.1	−	11331.1i	−1.08595	−	0.580452i
$726$	1569.16	+	41.1634i	0.0802163	+	0.00210429i
$727$	4823.76	+	24250.7i	0.246084	+	1.23715i	0.884163	+	0.467178i	$0.154729\pi$
$727$	4823.76	+	24250.7i	0.246084	+	1.23715i	−0.638079	+	0.769971i	$0.720271\pi$
$728$	4859.84	+	1371.35i	0.247415	+	0.0698156i
$729$	15115.1	+	3006.57i	0.767924	+	0.152750i
$730$	−24483.1	+	15446.1i	−1.24131	+	0.783130i
$731$	−23173.8	−	2282.42i	−1.17252	−	0.115484i
$732$	−2678.29	+	948.150i	−0.135236	+	0.0478752i
$733$	−10337.7	−	3135.92i	−0.520918	−	0.158019i	0.0188667	−	0.999822i	$-0.493994\pi$
$733$	−10337.7	−	3135.92i	−0.520918	−	0.158019i	−0.539784	+	0.841803i	$0.681494\pi$
$734$	−9909.16	−	8576.83i	−0.498302	−	0.431303i
$735$	3916.79	−	3916.79i	0.196562	−	0.196562i
$736$	12218.1	−	17041.9i	0.611909	−	0.853497i
$737$	23182.9	+	23182.9i	1.15869	+	1.15869i
$738$	−555.209	−	7703.49i	−0.0276931	−	0.384240i
$739$	−4507.63	+	14859.7i	−0.224379	+	0.739677i	0.770395	+	0.637567i	$0.220059\pi$
$739$	−4507.63	+	14859.7i	−0.224379	+	0.739677i	−0.994773	+	0.102110i	$0.967441\pi$
$740$	−17224.6	−	904.319i	−0.855662	−	0.0449236i
$741$	312.535	−	3173.22i	0.0154943	−	0.157316i
$742$	−474.663	+	2097.26i	−0.0234844	+	0.103764i
$743$	6745.45	−	33911.7i	0.333064	−	1.67443i	−0.344364	−	0.938836i	$-0.611906\pi$
$743$	6745.45	−	33911.7i	0.333064	−	1.67443i	0.677428	−	0.735589i	$-0.263094\pi$
$744$	−280.050	−	142.742i	−0.0137999	−	0.00703384i
$745$	−40077.6	+	7971.94i	−1.97091	+	0.392039i
$746$	−23197.6	−	24447.5i	−1.13851	−	1.19985i
$747$	−17599.2	+	32925.8i	−0.862009	+	1.61271i
$748$	−925.837	−	20235.4i	−0.0452566	−	0.989145i
$749$	−402.108	−	4082.67i	−0.0196164	−	0.199169i
$750$	965.536	+	120.738i	0.0470085	+	0.00587828i
$751$	−10864.8	+	4500.35i	−0.527912	+	0.218668i	−0.630688	−	0.776036i	$-0.717227\pi$
$751$	−10864.8	+	4500.35i	−0.527912	+	0.218668i	0.102776	+	0.994704i	$0.467227\pi$
$752$	−24330.4	+	19694.9i	−1.17984	+	0.955051i
$753$	6788.07	+	2811.71i	0.328514	+	0.136075i
$754$	32579.6	+	18528.6i	1.57358	+	0.894923i
$755$	−7420.11	−	6089.52i	−0.357676	−	0.293537i
$756$	−1168.05	−	177.284i	−0.0561925	−	0.00852877i
$757$	−12409.8	+	3764.48i	−0.595829	+	0.180743i	−0.573774	−	0.819014i	$-0.694521\pi$
$757$	−12409.8	+	3764.48i	−0.595829	+	0.180743i	−0.0220554	+	0.999757i	$0.507021\pi$
$758$	2669.14	−	5994.23i	0.127899	−	0.287230i
$759$	−2804.11	+	4196.64i	−0.134101	+	0.200696i
$760$	−12071.8	+	8411.05i	−0.576170	+	0.401448i
$761$	2960.59	−	1978.20i	0.141027	−	0.0942309i	−0.483056	−	0.875590i	$-0.660473\pi$
$761$	2960.59	−	1978.20i	0.141027	−	0.0942309i	0.624082	+	0.781359i	$0.285473\pi$
$762$	−5655.07	−	3997.00i	−0.268847	−	0.190021i
$763$	−192.983	−	235.151i	−0.00915658	−	0.0111573i
$764$	3466.55	+	2589.10i	0.164156	+	0.122605i
$765$	22007.6	−	11763.3i	1.04011	−	0.555952i
$766$	808.653	+	1613.27i	0.0381434	+	0.0760965i
$767$	36811.7			1.73298
$768$	−1986.96	+	3599.90i	−0.0933569	+	0.169141i
$769$	7952.33			0.372911			0.186455	−	0.982463i	$-0.440300\pi$
$769$	7952.33			0.372911			0.186455	+	0.982463i	$0.440300\pi$
$770$	2513.16	+	5013.79i	0.117621	+	0.234655i
$771$	−2415.26	+	1290.98i	−0.112819	+	0.0603030i
$772$	−1744.04	−	1302.59i	−0.0813073	−	0.0607269i
$773$	−16830.5	−	20508.0i	−0.783119	−	0.954233i	0.216639	−	0.976252i	$-0.430491\pi$
$773$	−16830.5	−	20508.0i	−0.783119	−	0.954233i	−0.999758	+	0.0220187i	$0.992991\pi$
$774$	23963.2	+	16937.2i	1.11284	+	0.786558i
$775$	−1677.84	+	1121.10i	−0.0777675	+	0.0519626i
$776$	−2159.79	−	3099.79i	−0.0999121	−	0.143397i
$777$	−202.841	+	303.574i	−0.00936538	+	0.0140163i
$778$	8391.12	−	18844.4i	0.386679	−	0.868386i
$779$	−3972.21	+	1204.96i	−0.182695	+	0.0554198i
$780$	−10504.1	−	1594.30i	−0.482191	−	0.0731858i
$781$	−5048.56	−	4143.25i	−0.231308	−	0.189830i
$782$	16615.2	+	9449.36i	0.759793	+	0.432108i
$783$	−8101.42	−	3355.72i	−0.369759	−	0.153159i
$784$	21340.8	+	2247.04i	0.972158	+	0.102362i
$785$	−31843.2	+	13189.9i	−1.44781	+	0.599703i
$786$	−7236.11	−	904.855i	−0.328376	−	0.0410625i
$787$	700.378	+	7111.06i	0.0317227	+	0.322086i	0.997929	+	0.0643179i	$0.0204872\pi$
$787$	700.378	+	7111.06i	0.0317227	+	0.322086i	−0.966207	+	0.257768i	$0.917013\pi$
$788$	1060.61	+	23181.0i	0.0479474	+	1.04795i
$789$	−1631.44	+	3052.22i	−0.0736133	+	0.137721i
$790$	−6224.04	−	6559.39i	−0.280306	−	0.295408i
$791$	−4753.29	+	945.488i	−0.213663	+	0.0425002i
$792$	−11592.2	+	22743.1i	−0.520090	+	1.02038i
$793$	5548.33	−	27893.3i	0.248458	−	1.24908i
$794$	−6775.38	+	29936.4i	−0.302833	+	1.33804i
$795$	443.454	−	4502.46i	0.0197832	−	0.200863i
$796$	527.084	+	27.6727i	0.0234698	+	0.00123220i
$797$	6342.44	−	20908.2i	0.281883	−	0.929244i	−0.695636	−	0.718395i	$-0.744877\pi$
$797$	6342.44	−	20908.2i	0.281883	−	0.929244i	0.977519	−	0.210849i	$-0.0676228\pi$
$798$	22.3881	+	310.633i	0.000993146	+	0.0137798i
$799$	−20176.3	−	20176.3i	−0.893350	−	0.893350i
$800$	13934.2	+	22419.7i	0.615810	+	0.990819i
$801$	−17585.1	+	17585.1i	−0.775703	+	0.775703i
$802$	−15441.6	−	13365.4i	−0.679877	−	0.588465i
$803$	25830.9	+	7835.73i	1.13518	+	0.344355i
$804$	5718.59	−	2024.46i	0.250845	−	0.0888023i
$805$	−5266.63	−	518.718i	−0.230589	−	0.0227111i
$806$	2661.09	−	1678.85i	0.116294	−	0.0733683i
$807$	4824.98	+	959.747i	0.210467	+	0.0418646i
$808$	438.246	−	1553.07i	0.0190810	−	0.0676198i
$809$	−7979.14	−	40113.8i	−0.346763	−	1.74330i	−0.623013	−	0.782212i	$-0.714092\pi$
$809$	−7979.14	−	40113.8i	−0.346763	−	1.74330i	0.276249	−	0.961086i	$-0.410908\pi$
$810$	−30169.9	−	791.439i	−1.30872	−	0.0343313i
$811$	−3651.19	−	1951.60i	−0.158090	−	0.0845007i	0.390455	−	0.920622i	$-0.372318\pi$
$811$	−3651.19	−	1951.60i	−0.158090	−	0.0845007i	−0.548544	+	0.836121i	$0.684818\pi$
$812$	−3442.62	−	1244.88i	−0.148784	−	0.0538013i
$813$	−8031.59	+	791.043i	−0.346470	+	0.0341243i
$814$	9873.71	+	12696.0i	0.425151	+	0.546676i
$815$	8015.33	+	19350.7i	0.344496	+	0.831688i
$816$	−3453.06	−	1457.61i	−0.148139	−	0.0625327i
$817$	6035.35	−	14570.6i	0.258446	−	0.623944i
$818$	−20243.8	+	5565.54i	−0.865290	+	0.237891i
$819$	3679.82	−	4483.87i	0.157000	−	0.191305i
$820$	3315.51	+	13427.9i	0.141198	+	0.571855i
$821$	−3536.11	−	11657.0i	−0.150318	−	0.495533i	0.849150	−	0.528152i	$-0.177115\pi$
$821$	−3536.11	−	11657.0i	−0.150318	−	0.495533i	−0.999468	+	0.0326196i	$0.989615\pi$
$822$	−7465.13	+	2865.19i	−0.316760	+	0.121576i
$823$	14364.9	+	9598.30i	0.608418	+	0.406532i	0.821259	−	0.570555i	$-0.193272\pi$
$823$	14364.9	+	9598.30i	0.608418	+	0.406532i	−0.212842	+	0.977087i	$0.568272\pi$
$824$	−7972.27	+	20360.6i	−0.337047	+	0.860794i
$825$	−3529.94	−	5282.92i	−0.148966	−	0.222943i
$826$	−3543.62	+	608.735i	−0.149272	+	0.0256424i
$827$	13840.3	−	11358.4i	0.581951	−	0.477594i	−0.296758	−	0.954953i	$-0.595906\pi$
$827$	13840.3	−	11358.4i	0.581951	−	0.477594i	0.878709	+	0.477358i	$0.158406\pi$
$828$	−12313.8	−	20702.1i	−0.516830	−	0.868898i
$829$	−892.893	−	1670.49i	−0.0374083	−	0.0699859i	0.862523	−	0.506018i	$-0.168883\pi$
$829$	−892.893	−	1670.49i	−0.0374083	−	0.0699859i	−0.899931	+	0.436033i	$0.856383\pi$
$830$	21078.8	−	63447.9i	0.881515	−	2.65338i
$831$			7999.30i			0.333926i
$832$	−20802.4	−	35515.2i	−0.866821	−	1.47989i
$833$			19560.5i			0.813603i
$834$	−1687.05	−	560.477i	−0.0700453	−	0.0232707i
$835$	−25903.4	−	48461.8i	−1.07356	−	2.00849i
$836$	13296.9	+	3378.32i	0.550101	+	0.139763i
$837$	−569.047	+	467.005i	−0.0234996	+	0.0192856i
$838$	3647.71	+	21234.4i	0.150368	+	0.875333i
$839$	−6499.28	−	9726.86i	−0.267437	−	0.400248i	0.673308	−	0.739362i	$-0.264873\pi$
$839$	−6499.28	−	9726.86i	−0.267437	−	0.400248i	−0.940745	+	0.339114i	$0.889873\pi$
$840$	1037.53	−	20.2289i	0.0426169	−	0.000830909i
$841$	−2313.56	−	1545.87i	−0.0948608	−	0.0633840i
$842$	4105.53	+	10696.8i	0.168035	+	0.437808i
$843$	1011.27	+	3333.71i	0.0413166	+	0.136203i
$844$	−8431.78	+	13960.8i	−0.343879	+	0.569372i
$845$	44530.7	−	54260.8i	1.81290	−	2.20903i
$846$	9532.01	+	34671.2i	0.387373	+	1.40901i
$847$	587.304	−	1417.88i	0.0238253	−	0.0575193i
$848$	14638.3	−	9639.12i	0.592786	−	0.390340i
$849$	−228.355	−	551.297i	−0.00923099	−	0.0222856i
$850$	−18994.0	+	14771.7i	−0.766458	+	0.596077i
$851$	−15103.4	+	1487.56i	−0.608388	+	0.0599210i
$852$	−1094.15	+	512.997i	−0.0439966	+	0.0206279i
$853$	−24717.2	−	13211.6i	−0.992146	−	0.530313i	−0.106320	−	0.994332i	$-0.533907\pi$
$853$	−24717.2	−	13211.6i	−0.992146	−	0.530313i	−0.885825	+	0.464019i	$0.846407\pi$
$854$	−72.8445	+	2776.86i	−0.00291884	+	0.111267i
$855$	3297.21	+	16576.2i	0.131886	+	0.663035i
$856$	−20705.3	+	26257.0i	−0.826744	+	1.04842i
$857$	14443.0	+	2872.89i	0.575685	+	0.114511i	0.474342	−	0.880341i	$-0.342686\pi$
$857$	14443.0	+	2872.89i	0.575685	+	0.114511i	0.101343	+	0.994852i	$0.467686\pi$
$858$	5286.09	+	8378.81i	0.210331	+	0.333389i
$859$	−38818.8	−	3823.32i	−1.54189	−	0.151862i	−0.708960	−	0.705248i	$-0.750835\pi$
$859$	−38818.8	−	3823.32i	−1.54189	−	0.151862i	−0.832925	+	0.553386i	$0.813335\pi$
$860$	−47428.8	−	22627.8i	−1.88059	−	0.897212i
$861$	280.164	+	84.9869i	0.0110894	+	0.00336393i
$862$	14100.3	−	16290.6i	0.557144	−	0.643691i
$863$	19604.0	−	19604.0i	0.773264	−	0.773264i	−0.205412	−	0.978676i	$-0.565853\pi$
$863$	19604.0	−	19604.0i	0.773264	−	0.773264i	0.978676	+	0.205412i	$0.0658534\pi$
$864$	5860.42	+	7641.14i	0.230759	+	0.300876i
$865$	49437.1	+	49437.1i	1.94325	+	1.94325i
$866$	31982.8	−	2305.08i	1.25499	−	0.0904500i
$867$	−439.916	+	1450.21i	−0.0172322	+	0.0568070i
$868$	−228.403	+	205.617i	−0.00893146	+	0.00804041i
$869$	−826.450	+	8391.09i	−0.0322617	+	0.327558i
$870$	7512.33	+	1700.24i	0.292749	+	0.0662568i
$871$	−11846.6	+	59556.8i	−0.460857	+	2.31688i
$872$	−194.888	+	2471.85i	−0.00756851	+	0.0959949i
$873$	−4256.43	+	846.657i	−0.165015	+	0.0328236i
$874$	−9390.91	+	8910.81i	−0.363447	+	0.344866i
$875$	448.467	−	839.023i	0.0173268	−	0.0324162i
$876$	3366.60	−	3689.44i	0.129848	−	0.142300i
$877$	3759.40	+	38169.9i	0.144750	+	1.46967i	0.743499	+	0.668737i	$0.233165\pi$
$877$	3759.40	+	38169.9i	0.144750	+	1.46967i	−0.598749	+	0.800937i	$0.704335\pi$
$878$	3512.56	−	28089.9i	0.135015	−	1.07971i
$879$	6679.82	−	2766.87i	0.256319	−	0.106171i
$880$	13564.1	−	43654.9i	0.519599	−	1.67228i
$881$	18127.6	+	7508.71i	0.693230	+	0.287145i	0.701345	−	0.712822i	$-0.252583\pi$
$881$	18127.6	+	7508.71i	0.693230	+	0.287145i	−0.00811545	+	0.999967i	$0.502583\pi$
$882$	12185.9	−	21427.0i	0.465218	−	0.818011i
$883$	27254.8	+	22367.4i	1.03873	+	0.852462i	0.989238	−	0.146313i	$-0.0467406\pi$
$883$	27254.8	+	22367.4i	1.03873	+	0.852462i	0.0494895	+	0.998775i	$0.484241\pi$
$884$	30209.9	−	22247.9i	1.14940	−	0.846470i
$885$	7239.27	−	2196.01i	0.274966	−	0.0834102i
$886$	−24291.5	−	10816.6i	−0.921093	−	0.410149i
$887$	11123.9	−	16648.1i	0.421087	−	0.630201i	−0.558907	−	0.829230i	$-0.688779\pi$
$887$	11123.9	−	16648.1i	0.421087	−	0.630201i	0.979993	+	0.199030i	$0.0637790\pi$
$888$	2906.89	−	637.364i	0.109852	−	0.0240862i
$889$	−5629.55	+	3761.54i	−0.212384	+	0.141910i
$890$	25705.0	−	36368.2i	0.968129	−	1.36973i
$891$	17853.2	+	21754.1i	0.671272	+	0.817947i
$892$	−2556.54	−	17643.8i	−0.0959633	−	0.662283i
$893$	17043.4	−	9109.87i	0.638672	−	0.341377i
$894$	6302.80	−	3159.28i	0.235791	−	0.118190i
$895$	9752.32			0.364228
$896$	2589.81	+	3074.82i	0.0965620	+	0.114646i
$897$	−9348.25			−0.347970
$898$	8608.13	−	4314.82i	0.319885	−	0.160342i
$899$	−2011.69	+	1075.27i	−0.0746314	+	0.0398913i
$900$	30009.0	−	4348.24i	1.11145	−	0.161046i
$901$	10135.4	+	12350.0i	0.374759	+	0.456645i
$902$	7443.96	−	10531.9i	0.274786	−	0.388774i
$903$	−924.890	+	617.992i	−0.0340846	+	0.0227746i
$904$	33266.9	+	21302.1i	1.22394	+	0.783736i
$905$	−15648.5	+	23419.7i	−0.574778	+	0.860217i
$906$	1512.95	+	673.692i	0.0554793	+	0.0247041i
$907$	13209.0	−	4006.91i	0.483570	−	0.146689i	−0.0390809	−	0.999236i	$-0.512443\pi$
$907$	13209.0	−	4006.91i	0.483570	−	0.146689i	0.522651	+	0.852547i	$0.324943\pi$
$908$	1320.09	+	1792.51i	0.0482474	+	0.0655138i
$909$	−1432.92	−	1175.97i	−0.0522849	−	0.0429091i
$910$	−5135.20	+	9029.44i	−0.187066	+	0.328926i
$911$	46233.5	+	19150.6i	1.68143	+	0.696473i	0.999393	−	0.0348419i	$-0.0110928\pi$
$911$	46233.5	+	19150.6i	1.68143	+	0.696473i	0.682041	+	0.731314i	$0.261093\pi$
$912$	1623.59	−	1951.41i	0.0589501	−	0.0708528i
$913$	−57596.9	+	23857.4i	−2.08782	+	0.864803i
$914$	660.502	−	5282.02i	0.0239031	−	0.191153i
$915$	−572.865	−	5816.40i	−0.0206976	−	0.210147i
$916$	−2897.72	−	2644.16i	−0.104523	−	0.0953771i
$917$	−3360.99	+	6287.97i	−0.121036	+	0.226442i
$918$	−6367.52	+	6041.98i	−0.228932	+	0.217228i
$919$	−52287.2	+	10400.6i	−1.87682	+	0.373322i	−0.995135	−	0.0985233i	$-0.968588\pi$
$919$	−52287.2	+	10400.6i	−1.87682	+	0.373322i	−0.881681	+	0.471845i	$0.843588\pi$
$920$	28009.8	+	32804.6i	1.00376	+	1.17558i
$921$	1440.03	−	7239.52i	0.0515208	−	0.259012i
$922$	−43012.4	−	9734.83i	−1.53638	−	0.347722i
$923$	1185.66	−	12038.2i	0.0422821	−	0.429297i
$924$	−647.413	−	719.160i	−0.0230501	−	0.0256046i
$925$	5545.85	−	18282.2i	0.197131	−	0.649854i
$926$	44807.4	−	3229.38i	1.59013	−	0.114605i
$927$	17760.6	+	17760.6i	0.629272	+	0.629272i
$928$	13191.1	+	26764.7i	0.466616	+	0.946762i
$929$	−14141.6	+	14141.6i	−0.499431	+	0.499431i	−0.911261	−	0.411830i	$-0.864890\pi$
$929$	−14141.6	+	14141.6i	−0.499431	+	0.499431i	0.411830	+	0.911261i	$0.364890\pi$
$930$	423.169	−	488.904i	0.0149207	−	0.0172385i
$931$	−12677.5	−	3845.68i	−0.446282	−	0.135378i
$932$	1374.71	−	2881.44i	0.0483155	−	0.101271i
$933$	−5914.67	−	582.544i	−0.207543	−	0.0204412i
$934$	6636.54	+	10519.4i	0.232499	+	0.368527i
$935$	40869.0	+	8129.35i	1.42948	+	0.284340i
$936$	−46952.8	+	5550.55i	−1.63964	+	0.193831i
$937$	4060.02	+	20411.1i	0.141553	+	0.711634i	0.984743	+	0.174018i	$0.0556750\pi$
$937$	4060.02	+	20411.1i	0.141553	+	0.711634i	−0.843190	+	0.537616i	$0.819325\pi$
$938$	155.535	−	5929.05i	0.00541407	−	0.206386i
$939$	629.806	+	336.638i	0.0218881	+	0.0116994i
$940$	−27335.3	−	58302.5i	−0.948488	−	2.02300i
$941$	−12060.0	+	1187.81i	−0.417796	+	0.0411493i	−0.304732	−	0.952438i	$-0.598567\pi$
$941$	−12060.0	+	1187.81i	−0.417796	+	0.0411493i	−0.113065	+	0.993588i	$0.536067\pi$
$942$	4694.23	−	3650.72i	0.162364	−	0.126271i
$943$	4657.16	+	11243.4i	0.160825	+	0.388266i
$944$	24257.6	+	16445.7i	0.836354	+	0.567015i
$945$	930.037	−	2245.31i	0.0320149	−	0.0772909i
$946$	12989.7	+	47248.0i	0.446440	+	1.62385i
$947$	−12730.1	+	15511.7i	−0.436824	+	0.532272i	−0.944165	−	0.329474i	$-0.893129\pi$
$947$	−12730.1	+	15511.7i	−0.436824	+	0.532272i	0.507340	+	0.861746i	$0.330629\pi$
$948$	1335.46	+	806.564i	0.0457528	+	0.0276329i
$949$	14512.9	+	47842.6i	0.496426	+	1.63650i
$950$	−5839.49	−	15214.5i	−0.199430	−	0.519604i
$951$	1672.85	+	1117.77i	0.0570410	+	0.0381136i
$952$	−2540.21	+	2641.23i	−0.0864796	+	0.0899188i
$953$	1774.56	+	2655.81i	0.0603185	+	0.0902730i	0.860403	−	0.509615i	$-0.170212\pi$
$953$	1774.56	+	2655.81i	0.0603185	+	0.0902730i	−0.800084	+	0.599888i	$0.795212\pi$
$954$	−3408.64	−	19842.6i	−0.115680	−	0.673406i
$955$	−6880.13	+	5646.38i	−0.233126	+	0.191322i
$956$	−6394.71	+	25169.4i	−0.216338	+	0.851501i
$957$	−3385.64	−	6334.09i	−0.114360	−	0.213952i
$958$	21915.2	+	7280.75i	0.739091	+	0.245543i
$959$			7817.80i			0.263243i
$960$	−6209.61	−	5743.34i	−0.208765	−	0.193089i
$961$		−	29599.5i		−	0.993572i
$962$	−9391.83	+	28269.6i	−0.314766	+	0.947453i
$963$	18106.9	+	33875.6i	0.605904	+	1.13357i
$964$	13589.6	−	8083.27i	0.454039	−	0.270067i
$965$	3461.42	−	2840.72i	0.115469	−	0.0947626i
$966$	899.895	−	154.587i	0.0299727	−	0.00514881i
$967$	−25732.3	−	38511.1i	−0.855734	−	1.28070i	−0.958240	−	0.285964i	$-0.907686\pi$
$967$	−25732.3	−	38511.1i	−0.855734	−	1.28070i	0.102506	−	0.994732i	$-0.467314\pi$
$968$	−11461.5	+	5011.45i	−0.380565	+	0.166399i
$969$	1923.98	+	1285.56i	0.0637846	+	0.0426195i
$970$	7255.65	−	2784.79i	0.240170	−	0.0921797i
$971$	−6172.27	−	20347.3i	−0.203993	−	0.672476i	−0.997920	−	0.0644627i	$-0.979467\pi$
$971$	−6172.27	−	20347.3i	−0.203993	−	0.672476i	0.793927	−	0.608014i	$-0.208033\pi$
$972$	16210.9	−	4002.68i	0.534944	−	0.132084i
$973$	−1102.62	+	1343.55i	−0.0363294	+	0.0442675i
$974$	21280.6	−	5850.59i	0.700075	−	0.192469i
$975$	4503.42	−	10872.2i	0.147923	−	0.357117i
$976$	16117.6	−	15902.0i	0.528597	−	0.521527i
$977$	16207.2	+	39127.6i	0.530720	+	1.28127i	0.931047	+	0.364900i	$0.118897\pi$
$977$	16207.2	+	39127.6i	0.530720	+	1.28127i	−0.400326	+	0.916373i	$0.631103\pi$
$978$	−2218.50	−	2852.63i	−0.0725356	−	0.0932690i
$979$	−41327.6	+	4070.42i	−1.34917	+	0.132882i
$980$	−15011.0	+	41512.0i	−0.489296	+	1.35312i
$981$	2511.93	+	1342.65i	0.0817530	+	0.0436979i
$982$	−8039.74	−	210.904i	−0.261261	−	0.00685358i
$983$	−305.439	−	1535.55i	−0.00991049	−	0.0498234i	0.975514	−	0.219939i	$-0.0705859\pi$
$983$	−305.439	−	1535.55i	−0.00991049	−	0.0498234i	−0.985424	+	0.170116i	$0.945586\pi$
$984$	−1165.73	−	2082.25i	−0.0377664	−	0.0674590i
$985$	−46818.1	−	9312.70i	−1.51447	−	0.301246i
$986$	−23003.8	+	14512.8i	−0.742993	+	0.468745i
$987$	−1356.47	−	133.600i	−0.0437456	−	0.00430856i
$988$	8479.89	+	23953.6i	0.273058	+	0.771321i
$989$	−44246.8	−	13422.1i	−1.42262	−	0.431546i
$990$	−39704.4	−	34365.9i	−1.27463	−	1.10325i
$991$	3147.65	−	3147.65i	0.100897	−	0.100897i	−0.654857	−	0.755753i	$-0.727271\pi$
$991$	3147.65	−	3147.65i	0.100897	−	0.100897i	0.755753	+	0.654857i	$0.227271\pi$
$992$	2503.59	+	82.5450i	0.0801301	+	0.00264194i
$993$	4649.24	+	4649.24i	0.148579	+	0.148579i
$994$	84.9333	+	1178.44i	0.00271018	+	0.0376036i
$995$	−315.178	+	1039.00i	−0.0100420	+	0.0331041i
$996$	−604.788	+	11519.4i	−0.0192404	+	0.366473i
$997$	−2743.56	+	27855.8i	−0.0871508	+	0.884857i	0.847856	+	0.530227i	$0.177893\pi$
$997$	−2743.56	+	27855.8i	−0.0871508	+	0.884857i	−0.935007	+	0.354630i	$0.884607\pi$
$998$	892.457	−	3943.24i	0.0283068	−	0.125071i
$999$	1359.68	−	6835.59i	0.0430616	−	0.216485i

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Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	128.4.k.a.101.32	✓	752
128.109	even	32	inner	128.4.k.a.109.32	yes	752

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
128.4.k.a.101.32	✓	752	1.1	even	1	trivial
128.4.k.a.109.32	yes	752	128.109	even	32	inner

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Elliptic curves over $\Q$
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Higher genus families
Abelian varieties over $\F_{q}$

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Twists

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Label	128.4.k.a.101.32

Level	$128$
Weight	$4$
Character	128.101
Analytic conductor	$7.552$
Analytic rank	$0$
Dimension	$752$
Inner twists	$2$