LMFDB - Embedded newform 95.5.o.a.14.12

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [95,5,Mod(14,95)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("95.14"); S:= CuspForms(chi, 5); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(95, base_ring=CyclotomicField(18)) chi = DirichletCharacter(H, H._module([9, 7])) N = Newforms(chi, 5, names="a")

Level:	$ N $	$=$	$ 95 = 5 \cdot 19 $
Weight:	$ k $	$=$	$ 5 $
Character orbit:	$[\chi]$	$=$	95.o (of order $18$, degree $6$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

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

Self dual:	no
Analytic conductor:	$9.82014649297$
Analytic rank:	$0$
Dimension:	$228$
Relative dimension:	$38$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			14.12
Character	$\chi$	$=$	95.14
Dual form			95.5.o.a.34.12

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-3.39457 + 1.23552i) q^{2} +(-2.98573 + 16.9329i) q^{3} +(-2.26011 + 1.89646i) q^{4} +(11.3403 - 22.2800i) q^{5} +(-10.7857 - 61.1689i) q^{6} +(41.3710 - 23.8855i) q^{7} +(34.2284 - 59.2854i) q^{8} +(-201.694 - 73.4105i) q^{9} +(-10.9680 + 89.6422i) q^{10} +(106.515 - 184.490i) q^{11} +(-25.3645 - 43.9326i) q^{12} +(17.6838 + 100.290i) q^{13} +(-110.926 + 132.196i) q^{14} +(343.406 + 258.546i) q^{15} +(-34.7452 + 197.050i) q^{16} +(-2.02824 - 5.57255i) q^{17} +775.364 q^{18} +(-254.206 - 256.321i) q^{19} +(16.6227 + 71.8617i) q^{20} +(280.929 + 771.846i) q^{21} +(-133.632 + 757.866i) q^{22} +(-175.166 - 208.755i) q^{23} +(901.677 + 756.596i) q^{24} +(-367.795 - 505.323i) q^{25} +(-183.939 - 318.592i) q^{26} +(1148.89 - 1989.94i) q^{27} +(-48.2051 + 132.442i) q^{28} +(313.984 - 862.664i) q^{29} +(-1485.16 - 453.368i) q^{30} +(-14.6872 + 8.47968i) q^{31} +(64.6841 + 366.841i) q^{32} +(2805.92 + 2354.45i) q^{33} +(13.7700 + 16.4105i) q^{34} +(-63.0104 - 1192.61i) q^{35} +(595.070 - 216.588i) q^{36} +132.120 q^{37} +(1179.61 + 556.022i) q^{38} -1750.99 q^{39} +(-932.716 - 1434.92i) q^{40} +(-1277.31 - 225.224i) q^{41} +(-1907.27 - 2272.99i) q^{42} +(920.134 - 1096.57i) q^{43} +(109.141 + 618.970i) q^{44} +(-3922.85 + 3661.23i) q^{45} +(852.536 + 492.212i) q^{46} +(-453.692 + 1246.51i) q^{47} +(-3232.88 - 1176.67i) q^{48} +(-59.4626 + 102.992i) q^{49} +(1872.85 + 1260.94i) q^{50} +(100.415 - 17.7059i) q^{51} +(-230.163 - 193.129i) q^{52} +(104.944 - 88.0585i) q^{53} +(-1441.38 + 8174.48i) q^{54} +(-2902.52 - 4465.33i) q^{55} -3270.26i q^{56} +(5099.24 - 3539.14i) q^{57} +3316.31i q^{58} +(1538.46 + 4226.89i) q^{59} +(-1266.46 + 66.9119i) q^{60} +(4649.73 - 3901.59i) q^{61} +(39.3800 - 46.9313i) q^{62} +(-10097.7 + 1780.50i) q^{63} +(-2273.53 - 3937.87i) q^{64} +(2434.99 + 743.320i) q^{65} +(-12433.9 - 4525.57i) q^{66} +(1800.97 + 655.500i) q^{67} +(15.1522 + 8.74811i) q^{68} +(4057.83 - 2342.79i) q^{69} +(1687.39 + 3970.56i) q^{70} +(1756.28 - 2093.05i) q^{71} +(-11255.8 + 9444.75i) q^{72} +(-4242.28 - 748.029i) q^{73} +(-448.491 + 163.237i) q^{74} +(9654.73 - 4719.09i) q^{75} +(1060.64 + 97.2222i) q^{76} -10176.7i q^{77} +(5943.87 - 2163.39i) q^{78} +(-9804.80 - 1728.85i) q^{79} +(3996.24 + 3008.72i) q^{80} +(16947.0 + 14220.2i) q^{81} +(4614.19 - 813.606i) q^{82} +(3348.58 - 1933.30i) q^{83} +(-2098.71 - 1211.69i) q^{84} +(-147.157 - 18.0052i) q^{85} +(-1768.62 + 4859.24i) q^{86} +(13669.9 + 7892.35i) q^{87} +(-7291.70 - 12629.6i) q^{88} +(10746.8 - 1894.94i) q^{89} +(8792.86 - 17275.1i) q^{90} +(3127.07 + 3726.69i) q^{91} +(791.791 + 139.614i) q^{92} +(-99.7335 - 274.016i) q^{93} -4791.91i q^{94} +(-8593.59 + 2756.95i) q^{95} -6404.82 q^{96} +(5221.28 - 1900.39i) q^{97} +(74.6007 - 423.082i) q^{98} +(-35027.0 + 29391.1i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 228 q + 30 q^{4} - 6 q^{5} + 42 q^{6} - 12 q^{9} + 291 q^{10} + 84 q^{11} + 738 q^{14} + 1113 q^{15} - 1974 q^{16} - 900 q^{19} - 570 q^{20} + 1878 q^{21} - 5988 q^{24} + 804 q^{25} - 3678 q^{26} - 1992 q^{29}+ \cdots + 99978 q^{99}+O(q^{100}) $ 228 * q + 30 * q^4 - 6 * q^5 + 42 * q^6 - 12 * q^9 + 291 * q^10 + 84 * q^11 + 738 * q^14 + 1113 * q^15 - 1974 * q^16 - 900 * q^19 - 570 * q^20 + 1878 * q^21 - 5988 * q^24 + 804 * q^25 - 3678 * q^26 - 1992 * q^29 + 1614 * q^30 - 18 * q^31 + 1596 * q^34 + 1296 * q^35 + 4818 * q^36 - 1872 * q^39 - 11868 * q^40 - 2820 * q^41 - 3660 * q^44 + 2967 * q^45 - 5778 * q^46 + 37698 * q^49 - 3438 * q^50 + 19644 * q^51 + 7824 * q^54 - 12498 * q^55 + 9384 * q^59 + 39330 * q^60 - 15960 * q^61 - 35022 * q^64 + 19836 * q^65 + 2772 * q^66 + 44046 * q^69 - 9045 * q^70 + 20688 * q^71 - 45690 * q^74 - 7344 * q^76 - 39204 * q^79 + 52911 * q^80 + 16722 * q^81 - 231462 * q^84 - 70140 * q^85 - 3054 * q^86 - 18480 * q^89 - 78126 * q^90 - 74718 * q^91 - 104829 * q^95 + 221400 * q^96 + 99978 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/95\mathbb{Z}\right)^\times$.

$n$	$21$	$77$
$\chi(n)$	$e\left(\frac{7}{18}\right)$	$-1$

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 $

$2$	−3.39457	+	1.23552i	−0.848643	+	0.308881i	−0.729487	−	0.683995i	$-0.760241\pi$
$2$	−3.39457	+	1.23552i	−0.848643	+	0.308881i	−0.119156	+	0.992876i	$0.538019\pi$
$3$	−2.98573	+	16.9329i	−0.331748	+	1.88143i	0.125498	+	0.992094i	$0.459947\pi$
$3$	−2.98573	+	16.9329i	−0.331748	+	1.88143i	−0.457246	+	0.889340i	$0.651164\pi$
$4$	−2.26011	+	1.89646i	−0.141257	+	0.118529i
$5$	11.3403	−	22.2800i	0.453612	−	0.891199i
$5$	11.3403	−	22.2800i	0.453612	−	0.891199i
$6$	−10.7857	−	61.1689i	−0.299604	−	1.69914i
$7$	41.3710	−	23.8855i	0.844305	−	0.487460i	−0.0144201	−	0.999896i	$-0.504590\pi$
$7$	41.3710	−	23.8855i	0.844305	−	0.487460i	0.858725	+	0.512436i	$0.171257\pi$
$8$	34.2284	−	59.2854i	0.534819	−	0.926334i
$9$	−201.694	−	73.4105i	−2.49005	−	0.906302i
$10$	−10.9680	+	89.6422i	−0.109680	+	0.896422i
$11$	106.515	−	184.490i	0.880292	−	1.52471i	0.0292749	−	0.999571i	$-0.490680\pi$
$11$	106.515	−	184.490i	0.880292	−	1.52471i	0.851017	−	0.525138i	$-0.175986\pi$
$12$	−25.3645	−	43.9326i	−0.176142	−	0.305087i
$13$	17.6838	+	100.290i	0.104638	+	0.593430i	0.991364	+	0.131136i	$0.0418624\pi$
$13$	17.6838	+	100.290i	0.104638	+	0.593430i	−0.886727	+	0.462294i	$0.847026\pi$
$14$	−110.926	+	132.196i	−0.565947	+	0.674469i
$15$	343.406	+	258.546i	1.52625	+	1.14909i
$16$	−34.7452	+	197.050i	−0.135723	+	0.769725i
$17$	−2.02824	−	5.57255i	−0.00701814	−	0.0192822i	0.936134	−	0.351643i	$-0.114377\pi$
$17$	−2.02824	−	5.57255i	−0.00701814	−	0.0192822i	−0.943152	+	0.332361i	$0.892155\pi$
$18$	775.364			2.39310
$19$	−254.206	−	256.321i	−0.704172	−	0.710030i
$19$	−254.206	−	256.321i	−0.704172	−	0.710030i
$20$	16.6227	+	71.8617i	0.0415569	+	0.179654i
$21$	280.929	+	771.846i	0.637027	+	1.75022i
$22$	−133.632	+	757.866i	−0.276100	+	1.56584i
$23$	−175.166	−	208.755i	−0.331127	−	0.394622i	0.574634	−	0.818410i	$-0.305144\pi$
$23$	−175.166	−	208.755i	−0.331127	−	0.394622i	−0.905761	+	0.423789i	$0.860700\pi$
$24$	901.677	+	756.596i	1.56541	+	1.31354i
$25$	−367.795	−	505.323i	−0.588473	−	0.808517i
$26$	−183.939	−	318.592i	−0.272099	−	0.471289i
$27$	1148.89	−	1989.94i	1.57599	−	2.72969i
$28$	−48.2051	+	132.442i	−0.0614861	+	0.168932i
$29$	313.984	−	862.664i	0.373346	−	1.02576i	−0.600713	−	0.799465i	$-0.705116\pi$
$29$	313.984	−	862.664i	0.373346	−	1.02576i	0.974059	−	0.226295i	$-0.0726614\pi$
$30$	−1485.16	−	453.368i	−1.65017	−	0.503742i
$31$	−14.6872	+	8.47968i	−0.0152833	+	0.00882381i	−0.507622	−	0.861580i	$-0.669475\pi$
$31$	−14.6872	+	8.47968i	−0.0152833	+	0.00882381i	0.492339	+	0.870404i	$0.336142\pi$
$32$	64.6841	+	366.841i	0.0631680	+	0.358244i
$33$	2805.92	+	2354.45i	2.57661	+	2.16203i
$34$	13.7700	+	16.4105i	0.0119118	+	0.0141959i
$35$	−63.0104	−	1192.61i	−0.0514370	−	0.973562i
$36$	595.070	−	216.588i	0.459159	−	0.167120i
$37$	132.120			0.0965084			0.0482542	−	0.998835i	$-0.484634\pi$
$37$	132.120			0.0965084			0.0482542	+	0.998835i	$0.484634\pi$
$38$	1179.61	+	556.022i	0.816905	+	0.385056i
$39$	−1750.99			−1.15121
$40$	−932.716	−	1434.92i	−0.582948	−	0.896826i
$41$	−1277.31	−	225.224i	−0.759851	−	0.133982i	−0.219720	−	0.975563i	$-0.570514\pi$
$41$	−1277.31	−	225.224i	−0.759851	−	0.133982i	−0.540131	+	0.841581i	$0.681625\pi$
$42$	−1907.27	−	2272.99i	−1.08122	−	1.28854i
$43$	920.134	−	1096.57i	0.497639	−	0.593063i	−0.457504	−	0.889207i	$-0.651257\pi$
$43$	920.134	−	1096.57i	0.497639	−	0.593063i	0.955143	+	0.296145i	$0.0957010\pi$
$44$	109.141	+	618.970i	0.0563745	+	0.319716i
$45$	−3922.85	+	3661.23i	−1.93721	+	1.80802i
$46$	852.536	+	492.212i	0.402900	+	0.232614i
$47$	−453.692	+	1246.51i	−0.205383	+	0.564286i	−0.999027	−	0.0440963i	$-0.985959\pi$
$47$	−453.692	+	1246.51i	−0.205383	+	0.564286i	0.793644	+	0.608383i	$0.208181\pi$
$48$	−3232.88	−	1176.67i	−1.40316	−	0.510709i
$49$	−59.4626	+	102.992i	−0.0247657	+	0.0428955i
$50$	1872.85	+	1260.94i	0.749138	+	0.504374i
$51$	100.415	−	17.7059i	0.0386064	−	0.00680735i
$52$	−230.163	−	193.129i	−0.0851193	−	0.0714236i
$53$	104.944	−	88.0585i	0.0373599	−	0.0313487i	−0.623917	−	0.781491i	$-0.714459\pi$
$53$	104.944	−	88.0585i	0.0373599	−	0.0313487i	0.661276	+	0.750142i	$0.270015\pi$
$54$	−1441.38	+	8174.48i	−0.494301	+	2.80332i
$55$	−2902.52	−	4465.33i	−0.959510	−	1.47614i
$56$		−	3270.26i		−	1.04281i
$57$	5099.24	−	3539.14i	1.56948	−	1.08930i
$58$			3316.31i			0.985824i
$59$	1538.46	+	4226.89i	0.441959	+	1.21427i	0.938202	+	0.346089i	$0.112491\pi$
$59$	1538.46	+	4226.89i	0.441959	+	1.21427i	−0.496242	+	0.868184i	$0.665287\pi$
$60$	−1266.46	+	66.9119i	−0.351794	+	0.0185866i
$61$	4649.73	−	3901.59i	1.24959	−	1.04853i	0.252880	−	0.967498i	$-0.418622\pi$
$61$	4649.73	−	3901.59i	1.24959	−	1.04853i	0.996711	−	0.0810345i	$-0.0258224\pi$
$62$	39.3800	−	46.9313i	0.0102445	−	0.0122090i
$63$	−10097.7	+	1780.50i	−2.54414	+	0.448601i
$64$	−2273.53	−	3937.87i	−0.555061	−	0.961394i
$65$	2434.99	+	743.320i	0.576329	+	0.175934i
$66$	−12433.9	−	4525.57i	−2.85443	−	1.03893i
$67$	1800.97	+	655.500i	0.401197	+	0.146024i	0.534735	−	0.845020i	$-0.320412\pi$
$67$	1800.97	+	655.500i	0.401197	+	0.146024i	−0.133538	+	0.991044i	$0.542634\pi$
$68$	15.1522	+	8.74811i	0.00327685	+	0.00189189i
$69$	4057.83	−	2342.79i	0.852305	−	0.492079i
$70$	1687.39	+	3970.56i	0.344366	+	0.810318i
$71$	1756.28	−	2093.05i	0.348399	−	0.415205i	−0.563178	−	0.826336i	$-0.690421\pi$
$71$	1756.28	−	2093.05i	0.348399	−	0.415205i	0.911577	+	0.411130i	$0.134866\pi$
$72$	−11255.8	+	9444.75i	−2.17126	+	1.82190i
$73$	−4242.28	−	748.029i	−0.796075	−	0.140369i	−0.239205	−	0.970969i	$-0.576887\pi$
$73$	−4242.28	−	748.029i	−0.796075	−	0.140369i	−0.556870	+	0.830600i	$0.687998\pi$
$74$	−448.491	+	163.237i	−0.0819012	+	0.0298096i
$75$	9654.73	−	4719.09i	1.71640	−	0.838949i
$76$	1060.64	+	97.2222i	0.183628	+	0.0168321i
$77$		−	10176.7i		−	1.71643i
$78$	5943.87	−	2163.39i	0.976968	−	0.355587i
$79$	−9804.80	−	1728.85i	−1.57103	−	0.277015i	−0.680780	−	0.732488i	$-0.738359\pi$
$79$	−9804.80	−	1728.85i	−1.57103	−	0.277015i	−0.890250	+	0.455473i	$0.849470\pi$
$80$	3996.24	+	3008.72i	0.624413	+	0.470113i
$81$	16947.0	+	14220.2i	2.58299	+	2.16739i
$82$	4614.19	−	813.606i	0.686227	−	0.121000i
$83$	3348.58	−	1933.30i	0.486076	−	0.280636i	−0.236869	−	0.971542i	$-0.576121\pi$
$83$	3348.58	−	1933.30i	0.486076	−	0.280636i	0.722945	+	0.690905i	$0.242788\pi$
$84$	−2098.71	−	1211.69i	−0.297436	−	0.171725i
$85$	−147.157	−	18.0052i	−0.0203678	−	0.00249206i
$86$	−1768.62	+	4859.24i	−0.239132	+	0.657010i
$87$	13669.9	+	7892.35i	1.80604	+	1.04272i
$88$	−7291.70	−	12629.6i	−0.941593	−	1.63089i
$89$	10746.8	−	1894.94i	1.35674	−	0.239230i	0.552491	−	0.833519i	$-0.313677\pi$
$89$	10746.8	−	1894.94i	1.35674	−	0.239230i	0.804252	+	0.594288i	$0.202566\pi$
$90$	8792.86	−	17275.1i	1.08554	−	2.13273i
$91$	3127.07	+	3726.69i	0.377619	+	0.450029i
$92$	791.791	+	139.614i	0.0935480	+	0.0164950i
$93$	−99.7335	−	274.016i	−0.0115312	−	0.0316818i
$94$		−	4791.91i		−	0.542316i
$95$	−8593.59	+	2756.95i	−0.952199	+	0.305480i
$96$	−6404.82			−0.694968
$97$	5221.28	−	1900.39i	0.554924	−	0.201976i	−0.0493088	−	0.998784i	$-0.515702\pi$
$97$	5221.28	−	1900.39i	0.554924	−	0.201976i	0.604233	+	0.796808i	$0.293480\pi$
$98$	74.6007	−	423.082i	0.00776767	−	0.0440526i
$99$	−35027.0	+	29391.1i	−3.57381	+	2.99879i
$100$	1789.58	+	444.578i	0.178958	+	0.0444578i
$101$	−1353.99	−	7678.85i	−0.132731	−	0.752755i	−0.976413	−	0.215912i	$-0.930728\pi$
$101$	−1353.99	−	7678.85i	−0.132731	−	0.752755i	0.843682	−	0.536843i	$-0.180383\pi$
$102$	−318.991	+	184.169i	−0.0306604	+	0.0177018i
$103$	−6260.30	+	10843.2i	−0.590093	+	1.02207i	0.404126	+	0.914703i	$0.367576\pi$
$103$	−6260.30	+	10843.2i	−0.590093	+	1.02207i	−0.994219	+	0.107368i	$0.965758\pi$
$104$	6550.99	+	2384.37i	0.605676	+	0.220448i
$105$	20382.5	+	2493.87i	1.84876	+	0.226201i
$106$	−247.442	+	428.582i	−0.0220222	+	0.0381436i
$107$	−864.680	−	1497.67i	−0.0755245	−	0.130812i	0.825790	−	0.563978i	$-0.190730\pi$
$107$	−864.680	−	1497.67i	−0.0755245	−	0.130812i	−0.901314	+	0.433166i	$0.857396\pi$
$108$	1177.22	+	6676.32i	0.100927	+	0.572387i
$109$	3678.39	−	4383.74i	0.309603	−	0.368971i	−0.588696	−	0.808354i	$-0.700359\pi$
$109$	3678.39	−	4383.74i	0.309603	−	0.368971i	0.898300	+	0.439384i	$0.144803\pi$
$110$	15369.8	+	11571.8i	1.27023	+	0.956343i
$111$	−394.474	+	2237.18i	−0.0320164	+	0.181574i
$112$	3269.20	+	8982.04i	0.260618	+	0.716043i
$113$	8893.08			0.696459			0.348229	−	0.937409i	$-0.386783\pi$
$113$	8893.08			0.696459			0.348229	+	0.937409i	$0.386783\pi$
$114$	−12937.1	+	18314.1i	−0.995465	+	1.40921i
$115$	−6637.49	+	1535.36i	−0.501890	+	0.116095i
$116$	926.369	+	2545.18i	0.0688443	+	0.189148i
$117$	3795.61	−	21526.0i	0.277274	−	1.57250i
$118$	−10444.8	−	12447.7i	−0.750131	−	0.893972i
$119$	−217.014	−	182.096i	−0.0153247	−	0.0128590i
$120$	27082.2	−	11509.3i	1.88071	−	0.799258i
$121$	−15370.5	−	26622.5i	−1.04983	−	1.81835i
$122$	−10963.3	+	18989.1i	−0.736586	+	1.27580i
$123$	7627.40	−	20956.1i	0.504158	−	1.38516i
$124$	17.1134	−	47.0188i	0.00111300	−	0.00305793i
$125$	−15429.5	+	2463.96i	−0.987488	+	0.157693i
$126$	32077.5	−	18520.0i	2.02051	−	1.16654i
$127$	−2368.40	−	13431.9i	−0.146841	−	0.832779i	−0.965870	−	0.259026i	$-0.916598\pi$
$127$	−2368.40	−	13431.9i	−0.146841	−	0.832779i	0.819029	−	0.573752i	$-0.194513\pi$
$128$	8017.36	+	6727.37i	0.489341	+	0.410606i
$129$	15820.9	+	18854.6i	0.950718	+	1.13302i
$130$	−9184.14	+	485.234i	−0.543440	+	0.0287120i
$131$	−6947.17	+	2528.56i	−0.404823	+	0.147344i	−0.536403	−	0.843962i	$-0.680217\pi$
$131$	−6947.17	+	2528.56i	−0.404823	+	0.147344i	0.131580	+	0.991306i	$0.457995\pi$
$132$	−10806.8			−0.620226
$133$	−16639.1	−	4532.39i	−0.940647	−	0.256226i
$134$	−6923.41			−0.385576
$135$	−31307.1	−	48163.9i	−1.71781	−	2.64274i
$136$	−399.794	−	70.4945i	−0.0216152	−	0.00381134i
$137$	22709.7	+	27064.4i	1.20996	+	1.44197i	0.863829	+	0.503785i	$0.168060\pi$
$137$	22709.7	+	27064.4i	1.20996	+	1.44197i	0.346129	+	0.938187i	$0.387496\pi$
$138$	−10880.0	+	12966.3i	−0.571309	+	0.680860i
$139$	2261.96	+	12828.2i	0.117072	+	0.663950i	0.985703	+	0.168491i	$0.0538893\pi$
$139$	2261.96	+	12828.2i	0.117072	+	0.663950i	−0.868631	+	0.495460i	$0.835000\pi$
$140$	2404.15	+	2575.94i	0.122661	+	0.131426i
$141$	−19752.4	−	11404.1i	−0.993532	−	0.573616i
$142$	−3375.80	+	9274.93i	−0.167417	+	0.459975i
$143$	20386.0	+	7419.90i	0.996920	+	0.362849i
$144$	21473.4	−	37193.0i	1.03556	−	1.79364i
$145$	−15659.5	−	16778.4i	−0.744803	−	0.798023i
$146$	15324.9	−	2702.20i	0.718941	−	0.126769i
$147$	−1566.42	−	1314.38i	−0.0724891	−	0.0608256i
$148$	−298.606	+	250.560i	−0.0136325	+	0.0114390i
$149$	−4238.08	+	24035.3i	−0.190896	+	1.08262i	0.727247	+	0.686376i	$0.240799\pi$
$149$	−4238.08	+	24035.3i	−0.190896	+	1.08262i	−0.918143	+	0.396249i	$0.870312\pi$
$150$	−26943.1	+	27947.9i	−1.19747	+	1.24213i
$151$		−	22753.2i		−	0.997904i	−0.866630	−	0.498952i	$-0.833718\pi$
$151$		−	22753.2i		−	0.997904i	0.866630	−	0.498952i	$-0.166282\pi$
$152$	−23897.1	+	6297.24i	−1.03433	+	0.272561i
$153$			1272.84i			0.0543740i
$154$	12573.5	+	34545.5i	0.530171	+	1.45663i
$155$	22.3695	+	423.394i	0.000931093	+	0.0176230i
$156$	3957.44	−	3320.69i	0.162617	−	0.136452i
$157$	−15344.3	+	18286.6i	−0.622512	+	0.741881i	−0.981500	−	0.191461i	$-0.938677\pi$
$157$	−15344.3	+	18286.6i	−0.622512	+	0.741881i	0.358988	+	0.933342i	$0.383122\pi$
$158$	35419.1	−	6245.35i	1.41881	−	0.250174i
$159$	1177.75	+	2039.93i	0.0465865	+	0.0806901i
$160$	8906.76	+	2718.93i	0.347920	+	0.106208i
$161$	−12233.0	−	4452.45i	−0.471935	−	0.171770i
$162$	−75097.3	−	27333.2i	−2.86150	−	1.04150i
$163$	−21003.6	−	12126.4i	−0.790531	−	0.456413i	0.0496186	−	0.998768i	$-0.484199\pi$
$163$	−21003.6	−	12126.4i	−0.790531	−	0.456413i	−0.840149	+	0.542355i	$0.817533\pi$
$164$	3313.99	−	1913.34i	0.123215	−	0.0711383i
$165$	84277.1	−	35815.8i	3.09558	−	1.31555i
$166$	−8978.35	+	10700.0i	−0.325822	+	0.388300i
$167$	3558.14	−	2985.63i	0.127582	−	0.107054i	−0.576764	−	0.816911i	$-0.695685\pi$
$167$	3558.14	−	2985.63i	0.127582	−	0.107054i	0.704346	+	0.709857i	$0.251240\pi$
$168$	55374.9	+	9764.10i	1.96198	+	0.345950i
$169$	17093.3	−	6221.44i	0.598483	−	0.217830i
$170$	521.781	−	120.696i	0.0180547	−	0.00417634i
$171$	32455.1	+	70359.6i	1.10992	+	2.40620i
$172$			4223.38i			0.142759i
$173$	−27079.3	+	9856.06i	−0.904784	+	0.329315i	−0.752168	−	0.658971i	$-0.770992\pi$
$173$	−27079.3	+	9856.06i	−0.904784	+	0.329315i	−0.152616	+	0.988286i	$0.548770\pi$
$174$	−56154.8	−	9901.60i	−1.85476	−	0.327045i
$175$	−27286.0	−	12120.7i	−0.890970	−	0.395779i
$176$	32652.8	+	27398.9i	1.05413	+	0.884521i
$177$	−76166.9	+	13430.3i	−2.43119	+	0.428685i
$178$	−34139.4	+	19710.4i	−1.07750	+	0.622093i
$179$	−15153.0	−	8748.59i	−0.472925	−	0.273044i	0.244538	−	0.969640i	$-0.421364\pi$
$179$	−15153.0	−	8748.59i	−0.472925	−	0.273044i	−0.717463	+	0.696596i	$0.754697\pi$
$180$	1922.70	−	15714.3i	0.0593426	−	0.485010i
$181$	−13801.8	+	37920.2i	−0.421288	+	1.15748i	0.529682	+	0.848196i	$0.322311\pi$
$181$	−13801.8	+	37920.2i	−0.421288	+	1.15748i	−0.950970	+	0.309283i	$0.899911\pi$
$182$	−15219.5	−	8786.96i	−0.459469	−	0.265275i
$183$	52182.4	+	90382.5i	1.55819	+	2.69887i
$184$	−18371.8	+	3239.44i	−0.542644	+	0.0956829i
$185$	1498.28	−	2943.63i	0.0437774	−	0.0860082i
$186$	677.105	+	806.943i	0.0195718	+	0.0233247i
$187$	−1244.12	−	219.372i	−0.0355777	−	0.00627331i
$188$	−1338.56	−	3677.66i	−0.0378723	−	0.104053i
$189$		−	109768.i		−	3.07292i
$190$	25765.3	−	19976.3i	0.713720	−	0.553359i
$191$	−26149.0			−0.716784			−0.358392	−	0.933571i	$-0.616675\pi$
$191$	−26149.0			−0.716784			−0.358392	+	0.933571i	$0.616675\pi$
$192$	73467.8	−	26740.1i	1.99294	−	0.725371i
$193$	−5483.73	+	31099.8i	−0.147218	+	0.834916i	0.818341	+	0.574733i	$0.194894\pi$
$193$	−5483.73	+	31099.8i	−0.147218	+	0.834916i	−0.965559	+	0.260183i	$0.916217\pi$
$194$	−15376.0	+	12902.0i	−0.408546	+	0.342811i
$195$	−19856.8	+	39012.1i	−0.522204	+	1.02596i
$196$	−60.9284	−	345.542i	−0.00158602	−	0.00899475i
$197$	59741.2	−	34491.6i	1.53936	−	0.888752i	0.540488	−	0.841352i	$-0.318240\pi$
$197$	59741.2	−	34491.6i	1.53936	−	0.888752i	0.998876	−	0.0474003i	$-0.0150937\pi$
$198$	82588.1	−	143047.i	2.10662	−	3.64878i
$199$	15308.0	+	5571.66i	0.386556	+	0.140695i	0.527985	−	0.849254i	$-0.322948\pi$
$199$	15308.0	+	5571.66i	0.386556	+	0.140695i	−0.141429	+	0.989948i	$0.545170\pi$
$200$	−42547.3	+	4508.46i	−1.06368	+	0.112712i
$201$	−16476.7	+	28538.5i	−0.407830	+	0.706382i
$202$	14083.6	+	24393.5i	0.345153	+	0.597822i
$203$	−7615.37	−	43188.9i	−0.184799	−	1.04805i
$204$	−193.371	+	230.451i	−0.00464656	+	0.00553755i
$205$	−19503.1	+	25904.3i	−0.464083	+	0.616403i
$206$	7854.07	−	44542.6i	0.185080	−	1.04964i
$207$	20005.1	+	54963.6i	0.466874	+	1.28273i
$208$	−20376.5			−0.470980
$209$	−74365.4	+	19596.4i	−1.70247	+	0.448625i
$210$	−72271.2	+	16717.5i	−1.63880	+	0.379081i
$211$	−17127.2	−	47056.5i	−0.384699	−	1.05695i	−0.969354	−	0.245669i	$-0.920992\pi$
$211$	−17127.2	−	47056.5i	−0.384699	−	1.05695i	0.584655	−	0.811282i	$-0.301230\pi$
$212$	−70.1860	+	398.044i	−0.00156163	+	0.00885645i
$213$	30197.6	+	35988.2i	0.665601	+	0.793232i
$214$	4785.63	+	4015.62i	0.104499	+	0.0876849i
$215$	−13997.0	−	32936.0i	−0.302802	−	0.712516i
$216$	−78649.6	−	136225.i	−1.68573	−	2.91978i
$217$	−405.083	+	701.625i	−0.00860251	+	0.0149000i
$218$	−7070.36	+	19425.7i	−0.148775	+	0.408755i
$219$	25332.6	−	69600.8i	0.528192	−	1.45119i
$220$	15028.3	+	4587.64i	0.310503	+	0.0947860i
$221$	523.002	−	301.955i	0.0107083	−	0.00618241i
$222$	−1425.01	−	8081.64i	−0.0289143	−	0.163981i
$223$	−10193.1	−	8553.03i	−0.204973	−	0.171993i	0.534523	−	0.845154i	$-0.320491\pi$
$223$	−10193.1	−	8553.03i	−0.204973	−	0.171993i	−0.739496	+	0.673161i	$0.764936\pi$
$224$	11438.2	+	13631.6i	0.227962	+	0.271675i
$225$	37086.0	+	128921.i	0.732562	+	2.54658i
$226$	−30188.2	+	10987.6i	−0.591045	+	0.215123i
$227$	23589.8			0.457797			0.228899	−	0.973450i	$-0.426488\pi$
$227$	23589.8			0.457797			0.228899	+	0.973450i	$0.426488\pi$
$228$	−4813.03	+	17669.4i	−0.0925867	+	0.339900i
$229$	94919.5			1.81002			0.905012	−	0.425385i	$-0.139861\pi$
$229$	94919.5			1.81002			0.905012	+	0.425385i	$0.139861\pi$
$230$	20634.5	−	13412.7i	0.390066	−	0.253547i
$231$	172321.	+	30384.9i	3.22935	+	0.569421i
$232$	−40396.2	−	48142.3i	−0.750524	−	0.894439i
$233$	53144.7	−	63335.4i	0.978922	−	1.16663i	−0.00709223	−	0.999975i	$-0.502258\pi$
$233$	53144.7	−	63335.4i	0.978922	−	1.16663i	0.986015	−	0.166659i	$-0.0532980\pi$
$234$	13711.4	+	77761.0i	0.250408	+	1.42014i
$235$	22627.2	+	24244.0i	0.409727	+	0.439004i
$236$	−11493.2	−	6635.61i	−0.206356	−	0.119140i
$237$	58548.9	−	160862.i	1.04237	−	2.86389i
$238$	961.652	+	350.013i	0.0169771	+	0.00617917i
$239$	40667.3	−	70437.8i	0.711949	−	1.23313i	−0.252175	−	0.967682i	$-0.581146\pi$
$239$	40667.3	−	70437.8i	0.711949	−	1.23313i	0.964124	−	0.265451i	$-0.0855208\pi$
$240$	−62878.1	+	58684.8i	−1.09163	+	1.01883i
$241$	−2801.37	+	493.957i	−0.0482321	+	0.00850462i	−0.197712	−	0.980260i	$-0.563351\pi$
$241$	−2801.37	+	493.957i	−0.0482321	+	0.00850462i	0.149480	+	0.988765i	$0.452240\pi$
$242$	85069.0	+	71381.4i	1.45258	+	1.21886i
$243$	−148812.	+	124868.i	−2.52015	+	2.11466i
$244$	−3109.71	+	17636.1i	−0.0522325	+	0.296225i
$245$	1620.34	+	2492.79i	0.0269944	+	0.0415291i
$246$			80560.9i			1.33123i
$247$	21211.0	−	30026.9i	0.347670	−	0.492172i
$248$			1160.98i			0.0188766i
$249$	22738.5	+	62473.5i	0.366744	+	1.00762i
$250$	49332.3	−	27427.6i	0.789316	−	0.438841i
$251$	−8479.72	+	7115.33i	−0.134597	+	0.112940i	−0.707601	−	0.706613i	$-0.750222\pi$
$251$	−8479.72	+	7115.33i	−0.134597	+	0.112940i	0.573004	+	0.819553i	$0.305778\pi$
$252$	19445.3	−	23174.0i	0.306206	−	0.364922i
$253$	−57171.0	+	10080.8i	−0.893172	+	0.157490i
$254$	24635.1	+	42669.3i	0.381845	+	0.661375i
$255$	744.251	−	2438.04i	0.0114456	−	0.0374939i
$256$	32838.1	+	11952.1i	0.501070	+	0.182375i
$257$	73490.5	+	26748.3i	1.11267	+	0.404977i	0.831971	−	0.554820i	$-0.187213\pi$
$257$	73490.5	+	26748.3i	1.11267	+	0.404977i	0.280695	+	0.959797i	$0.409435\pi$
$258$	−77000.5	−	44456.2i	−1.15679	−	0.667872i
$259$	5465.93	−	3155.76i	0.0814826	−	0.0470440i
$260$	−6913.03	+	2937.87i	−0.102264	+	0.0434597i
$261$	−126657.	+	150944.i	−1.85930	+	2.21582i
$262$	20458.6	−	17166.8i	0.298039	−	0.250084i
$263$	−18261.8	−	3220.05i	−0.264017	−	0.0465534i	0.0400723	−	0.999197i	$-0.487241\pi$
$263$	−18261.8	−	3220.05i	−0.264017	−	0.0465534i	−0.304090	+	0.952643i	$0.598352\pi$
$264$	235627.	−	85761.1i	3.38078	−	1.23050i
$265$	−771.846	−	3336.76i	−0.0109910	−	0.0475153i
$266$	62082.5	−	5172.48i	0.877417	−	0.0731031i
$267$			187632.i			2.63199i
$268$	−5313.53	+	1933.97i	−0.0739798	+	0.0269265i
$269$	−77466.3	−	13659.4i	−1.07055	−	0.188768i	−0.389519	−	0.921018i	$-0.627359\pi$
$269$	−77466.3	−	13659.4i	−1.07055	−	0.188768i	−0.681035	+	0.732251i	$0.738470\pi$
$270$	165782.	+	124815.i	2.27410	+	1.71214i
$271$	10263.0	+	8611.72i	0.139745	+	0.117260i	0.709981	−	0.704221i	$-0.248704\pi$
$271$	10263.0	+	8611.72i	0.139745	+	0.117260i	−0.570235	+	0.821481i	$0.693148\pi$
$272$	1168.54	−	206.045i	0.0157945	−	0.00278500i
$273$	−72440.3	+	41823.4i	−0.971975	+	0.561170i
$274$	−110528.	−	63813.6i	−1.47222	−	0.849987i
$275$	−132403.	+	14029.9i	−1.75078	+	0.185519i
$276$	−4728.14	+	12990.5i	−0.0620687	+	0.170532i
$277$	−705.610	−	407.384i	−0.00919614	−	0.00530939i	0.495395	−	0.868668i	$-0.335023\pi$
$277$	−705.610	−	407.384i	−0.00919614	−	0.00530939i	−0.504591	+	0.863359i	$0.668357\pi$
$278$	−23527.9	−	40751.5i	−0.304434	−	0.527295i
$279$	3584.82	−	632.101i	0.0460531	−	0.00812041i
$280$	−72861.2	−	37085.7i	−0.929353	−	0.473032i
$281$	−77739.8	−	92646.7i	−0.984534	−	1.17332i	−0.984865	−	0.173322i	$-0.944550\pi$
$281$	−77739.8	−	92646.7i	−0.984534	−	1.17332i	0.000331056	−	1.00000i	$-0.499895\pi$
$282$	81140.9	+	14307.3i	1.02033	+	0.179912i
$283$	−44796.2	−	123077.i	−0.559331	−	1.53675i	−0.820612	−	0.571485i	$-0.806367\pi$
$283$	−44796.2	−	123077.i	−0.559331	−	1.53675i	0.261282	−	0.965263i	$-0.415855\pi$
$284$			8061.24i			0.0999459i
$285$	−21025.1	−	153746.i	−0.258850	−	1.89284i
$286$	−78369.2			−0.958106
$287$	−58223.2	+	21191.5i	−0.706858	+	0.257275i
$288$	13883.6	−	78738.1i	0.167386	−	0.949292i
$289$	63953.9	−	53663.7i	0.765722	−	0.642517i
$290$	73887.3	+	37607.9i	0.878565	+	0.447181i
$291$	16589.8	+	94085.5i	0.195910	+	1.11106i
$292$	11006.6	−	6354.69i	0.129089	−	0.0745295i
$293$	−29978.7	+	51924.7i	−0.349203	+	0.604837i	−0.986108	−	0.166105i	$-0.946881\pi$
$293$	−29978.7	+	51924.7i	−0.349203	+	0.604837i	0.636905	+	0.770942i	$0.280214\pi$
$294$	6941.26	+	2526.41i	0.0803052	+	0.0292287i
$295$	111622.	+	13657.3i	1.28264	+	0.156935i
$296$	4522.26	−	7832.78i	0.0516145	−	0.0893990i
$297$	−244749.	−	423918.i	−2.77465	−	4.80584i
$298$	−15309.8	−	86826.0i	−0.172399	−	0.977726i
$299$	17838.4	−	21258.9i	0.199532	−	0.237793i
$300$	−12871.2	+	28975.5i	−0.143014	+	0.321950i
$301$	11874.6	−	67344.2i	0.131065	−	0.743305i
$302$	28112.1	+	77237.4i	0.308233	+	0.846864i
$303$	134068.			1.46029
$304$	59340.3	−	41185.3i	0.642100	−	0.445651i
$305$	−34198.0	−	147841.i	−0.367621	−	1.58926i
$306$	−1572.63	−	4320.75i	−0.0167951	−	0.0461441i
$307$	−28679.5	+	162650.i	−0.304295	+	1.72575i	0.322507	+	0.946567i	$0.395474\pi$
$307$	−28679.5	+	162650.i	−0.304295	+	1.72575i	−0.626803	+	0.779178i	$0.715637\pi$
$308$	19299.7	+	23000.5i	0.203446	+	0.242457i
$309$	−164915.	−	138380.i	−1.72720	−	1.44929i
$310$	−599.047	−	1409.60i	−0.00623358	−	0.0146681i
$311$	10730.2	+	18585.3i	0.110940	+	0.192154i	0.916150	−	0.400836i	$-0.131280\pi$
$311$	10730.2	+	18585.3i	0.110940	+	0.192154i	−0.805209	+	0.592991i	$0.797947\pi$
$312$	−59933.7	+	103808.i	−0.615690	+	1.06641i
$313$	−33689.1	+	92560.0i	−0.343875	+	0.944789i	0.640384	+	0.768055i	$0.278775\pi$
$313$	−33689.1	+	92560.0i	−0.343875	+	0.944789i	−0.984259	+	0.176734i	$0.943447\pi$
$314$	29493.8	−	81033.5i	0.299138	−	0.821874i
$315$	−74841.5	+	245168.i	−0.754261	+	2.47083i
$316$	25438.6	−	14687.0i	0.254753	−	0.147082i
$317$	2665.50	+	15116.8i	0.0265253	+	0.150432i	0.995194	−	0.0979247i	$-0.0312204\pi$
$317$	2665.50	+	15116.8i	0.0265253	+	0.150432i	−0.968669	+	0.248357i	$0.920109\pi$
$318$	−6518.34	−	5469.54i	−0.0644589	−	0.0540874i
$319$	−125709.	−	149814.i	−1.23533	−	1.47221i
$320$	−113518.	+	5997.61i	−1.10858	+	0.0585704i
$321$	27941.6	−	10169.9i	0.271170	−	0.0986977i
$322$	47027.0			0.453560
$323$	−912.768	+	1936.46i	−0.00874894	+	0.0185611i
$324$	−65270.3			−0.621764
$325$	44174.7	−	45822.1i	0.418222	−	0.433818i
$326$	86280.8	+	15213.6i	0.811855	+	0.143152i
$327$	63246.8	+	75374.6i	0.591484	+	0.704903i
$328$	−57072.8	+	68016.7i	−0.530495	+	0.632220i
$329$	11003.8	+	62405.9i	0.101661	+	0.576546i
$330$	−241833.	+	225706.i	−2.22069	+	2.07259i
$331$	−57763.2	−	33349.6i	−0.527224	−	0.304393i	0.212661	−	0.977126i	$-0.431787\pi$
$331$	−57763.2	−	33349.6i	−0.527224	−	0.304393i	−0.739885	+	0.672733i	$0.765120\pi$
$332$	−3901.74	+	10719.9i	−0.0353982	+	0.0972559i
$333$	−26647.8	−	9698.99i	−0.240310	−	0.0874658i
$334$	−8389.54	+	14531.1i	−0.0752048	+	0.130258i
$335$	35028.1	−	32692.0i	0.312124	−	0.291308i
$336$	−161853.	+	28539.0i	−1.43365	+	0.252791i
$337$	42248.8	+	35451.0i	0.372010	+	0.312153i	0.809556	−	0.587043i	$-0.199708\pi$
$337$	42248.8	+	35451.0i	0.372010	+	0.312153i	−0.437546	+	0.899196i	$0.644152\pi$
$338$	−50337.6	+	42238.2i	−0.440615	+	0.369720i
$339$	−26552.3	+	150586.i	−0.231048	+	1.31034i
$340$	366.738	−	238.384i	0.00317247	−	0.00206214i
$341$			3612.86i			0.0310701i
$342$	−197102.	−	198742.i	−1.68515	−	1.69917i
$343$			120380.i			1.02321i
$344$	−33516.0	−	92084.4i	−0.283227	−	0.778161i
$345$	−6180.31	−	116976.i	−0.0519244	−	0.982787i
$346$	79745.2	−	66914.2i	0.666120	−	0.558941i
$347$	−27149.9	+	32356.0i	−0.225481	+	0.268717i	−0.866910	−	0.498465i	$-0.833897\pi$
$347$	−27149.9	+	32356.0i	−0.225481	+	0.268717i	0.641429	+	0.767182i	$0.278342\pi$
$348$	−45863.1	+	8086.91i	−0.378709	+	0.0667765i
$349$	39179.1	+	67860.2i	0.321665	+	0.557140i	0.980832	−	0.194857i	$-0.0624243\pi$
$349$	39179.1	+	67860.2i	0.321665	+	0.557140i	−0.659167	+	0.751997i	$0.729091\pi$
$350$	107600.	+	7432.21i	0.878364	+	0.0606711i
$351$	219887.	+	80032.4i	1.78478	+	0.649609i
$352$	74568.4	+	27140.7i	0.601824	+	0.219046i
$353$	−10973.9	−	6335.79i	−0.0880667	−	0.0508453i	0.455320	−	0.890328i	$-0.349525\pi$
$353$	−10973.9	−	6335.79i	−0.0880667	−	0.0508453i	−0.543387	+	0.839483i	$0.682858\pi$
$354$	241961.	−	139696.i	1.93080	−	1.11475i
$355$	−26716.4	−	62865.6i	−0.211993	−	0.498835i
$356$	−20695.2	+	24663.6i	−0.163294	+	0.194606i
$357$	3731.36	−	3130.98i	0.0292773	−	0.0245665i
$358$	62247.0	+	10975.8i	0.485683	+	0.0856389i
$359$	−8828.41	+	3213.28i	−0.0685005	+	0.0249321i	−0.376043	−	0.926602i	$-0.622716\pi$
$359$	−8828.41	+	3213.28i	−0.0685005	+	0.0249321i	0.307543	+	0.951534i	$0.400493\pi$
$360$	82784.6	+	357886.i	0.638770	+	2.76146i
$361$	−1079.60	+	130317.i	−0.00828419	+	0.999966i
$362$		−	145775.i		−	1.11241i
$363$	496689.	−	180780.i	3.76939	−	1.37195i
$364$	−14135.0	−	2492.39i	−0.106683	−	0.0188111i
$365$	−64774.8	+	86035.1i	−0.486206	+	0.645788i
$366$	−288807.	−	242337.i	−2.15598	−	1.80908i
$367$	−119951.	+	21150.5i	−0.890574	+	0.157032i	−0.600171	−	0.799872i	$-0.704901\pi$
$367$	−119951.	+	21150.5i	−0.890574	+	0.157032i	−0.290404	+	0.956904i	$0.593790\pi$
$368$	47221.3	−	27263.2i	0.348692	−	0.201317i
$369$	241092.	+	139194.i	1.77064	+	1.02228i
$370$	−1449.09	+	11843.5i	−0.0105851	+	0.0865123i
$371$	2238.31	−	6149.71i	0.0162620	−	0.0446793i
$372$	745.069	+	430.166i	0.00538407	+	0.00310849i
$373$	−23466.8	−	40645.6i	−0.168669	−	0.292143i	0.769283	−	0.638908i	$-0.220614\pi$
$373$	−23466.8	−	40645.6i	−0.168669	−	0.292143i	−0.937952	+	0.346765i	$0.887280\pi$
$374$	4494.29	−	792.464i	0.0321305	−	0.00566547i
$375$	4346.31	−	268623.i	0.0309071	−	1.91021i
$376$	58370.5	+	69563.3i	0.412874	+	0.492045i
$377$	92068.7	+	16234.2i	0.647783	+	0.114222i
$378$	135621.	+	372614.i	0.949165	+	2.60781i
$379$			102810.i			0.715743i	0.933771	+	0.357872i	$0.116497\pi$
$379$			102810.i			0.715743i	−0.933771	+	0.357872i	$0.883503\pi$
$380$	14194.0	−	22528.4i	0.0982966	−	0.156014i
$381$	234512.			1.61553
$382$	88764.7	−	32307.7i	0.608294	−	0.221401i
$383$	15953.5	−	90476.8i	0.108757	−	0.616793i	−0.880896	−	0.473311i	$-0.843059\pi$
$383$	15953.5	−	90476.8i	0.108757	−	0.616793i	0.989653	−	0.143483i	$-0.0458301\pi$
$384$	−137852.	+	115671.i	−0.934866	+	0.784445i
$385$	−226737.	−	115407.i	−1.52968	−	0.778592i
$386$	−19809.6	−	112346.i	−0.132954	−	0.754018i
$387$	−266085.	+	153624.i	−1.77664	+	1.02574i
$388$	−8196.67	+	14197.0i	−0.0544470	+	0.0943050i
$389$	−13492.2	−	4910.76i	−0.0891628	−	0.0324526i	0.297054	−	0.954861i	$-0.403996\pi$
$389$	−13492.2	−	4910.76i	−0.0891628	−	0.0324526i	−0.386216	+	0.922408i	$0.626218\pi$
$390$	19204.9	−	156963.i	0.126265	−	1.03197i
$391$	−808.018	+	1399.53i	−0.00528527	+	0.00915436i
$392$	4070.62	+	7050.52i	0.0264904	+	0.0458827i
$393$	−22073.6	−	125185.i	−0.142918	−	0.810529i
$394$	−160181.	+	190896.i	−1.03185	+	1.22971i
$395$	−149708.	+	198845.i	−0.959513	+	1.27444i
$396$	23425.8	−	132854.i	0.149384	−	0.847199i
$397$	72631.3	+	199553.i	0.460832	+	1.26613i	0.924861	+	0.380306i	$0.124181\pi$
$397$	72631.3	+	199553.i	0.460832	+	1.26613i	−0.464028	+	0.885820i	$0.653596\pi$
$398$	−58848.0			−0.371506
$399$	126426.	−	268216.i	0.794130	−	1.68476i
$400$	112353.	−	54916.4i	0.702205	−	0.343228i
$401$	4862.13	+	13358.6i	0.0302370	+	0.0830754i	0.953893	−	0.300148i	$-0.0970361\pi$
$401$	4862.13	+	13358.6i	0.0302370	+	0.0830754i	−0.923656	+	0.383224i	$0.874814\pi$
$402$	20671.4	−	117233.i	0.127914	−	0.725437i
$403$	−1110.15	−	1323.03i	−0.00683552	−	0.00814625i
$404$	17622.8	+	14787.3i	0.107972	+	0.0905995i
$405$	509011.	−	216318.i	3.10325	−	1.31881i
$406$	79211.8	+	137199.i	0.480549	+	0.832336i
$407$	14072.8	−	24374.8i	0.0849555	−	0.147147i
$408$	2387.35	−	6559.20i	0.0143416	−	0.0394031i
$409$	75268.6	−	206799.i	0.449953	−	1.23624i	−0.482803	−	0.875729i	$-0.660381\pi$
$409$	75268.6	−	206799.i	0.449953	−	1.23624i	0.932756	−	0.360508i	$-0.117397\pi$
$410$	34199.2	−	112031.i	0.203445	−	0.666452i
$411$	−526084.	+	303734.i	−3.11438	+	1.79809i
$412$	−6414.63	−	36379.2i	−0.0377900	−	0.214318i
$413$	164609.	+	138123.i	0.965058	+	0.809780i
$414$	−135818.	−	161861.i	−0.792419	−	0.944369i
$415$	−5100.08	−	96530.5i	−0.0296129	−	0.560491i
$416$	−35646.5	+	12974.3i	−0.205983	+	0.0749716i
$417$	−223972.			−1.28802
$418$	228227.	−	158401.i	1.30621	−	0.906581i
$419$	13020.4			0.0741645			0.0370822	−	0.999312i	$-0.488194\pi$
$419$	13020.4			0.0741645			0.0370822	+	0.999312i	$0.488194\pi$
$420$	−50796.4	+	33018.2i	−0.287961	+	0.187178i
$421$	255929.	+	45127.2i	1.44396	+	0.254609i	0.840078	−	0.542465i	$-0.182509\pi$
$421$	255929.	+	45127.2i	1.44396	+	0.254609i	0.603882	+	0.797074i	$0.293620\pi$
$422$	116279.	+	138576.i	0.652943	+	0.778148i
$423$	183014.	−	218107.i	1.02283	−	1.21896i
$424$	−1628.51	−	9235.75i	−0.00905856	−	0.0513736i
$425$	−2069.96	+	3074.48i	−0.0114600	+	0.0170213i
$426$	−146972.	−	84854.5i	−0.809872	−	0.467580i
$427$	99172.3	−	272474.i	0.543920	−	1.49441i
$428$	4794.55	+	1745.07i	0.0261734	+	0.00952633i
$429$	−186508.	+	323041.i	−1.01340	+	1.75526i
$430$	88207.2	+	94510.1i	0.477053	+	0.511142i
$431$	232335.	−	40967.0i	1.25072	−	0.220536i	0.491217	−	0.871037i	$-0.336552\pi$
$431$	232335.	−	40967.0i	1.25072	−	0.220536i	0.759505	+	0.650501i	$0.225441\pi$
$432$	352199.	+	295530.i	1.88721	+	1.58356i
$433$	−43145.1	+	36203.0i	−0.230121	+	0.193094i	−0.750556	−	0.660807i	$-0.770214\pi$
$433$	−43145.1	+	36203.0i	−0.230121	+	0.193094i	0.520435	+	0.853901i	$0.325770\pi$
$434$	508.211	−	2882.21i	0.00269814	−	0.0153019i
$435$	330863.	−	215065.i	1.74851	−	1.13655i
$436$			16883.7i			0.0888166i
$437$	−8979.91	+	97965.5i	−0.0470229	+	0.512991i
$438$			267564.i			1.39469i
$439$	78454.0	+	215551.i	0.407086	+	1.11846i	0.958715	+	0.284370i	$0.0917843\pi$
$439$	78454.0	+	215551.i	0.407086	+	1.11846i	−0.551629	+	0.834090i	$0.685993\pi$
$440$	−364077.	+	19235.6i	−1.88056	+	0.0993575i
$441$	19553.9	−	16407.7i	0.100544	−	0.0843665i
$442$	−1402.29	+	1671.19i	−0.00717786	+	0.00855424i
$443$	−20271.4	+	3574.39i	−0.103294	+	0.0182135i	−0.225056	−	0.974346i	$-0.572257\pi$
$443$	−20271.4	+	3574.39i	−0.103294	+	0.0182135i	0.121762	+	0.992559i	$0.461145\pi$
$444$	−3351.16	−	5804.37i	−0.0169992	−	0.0294435i
$445$	79652.2	−	260927.i	0.402233	−	1.31765i
$446$	45168.7	+	16440.1i	0.227074	+	0.0826482i
$447$	−394335.	−	143526.i	−1.97356	−	0.718316i
$448$	−188116.	−	108609.i	−0.937282	−	0.541140i
$449$	−197947.	+	114285.i	−0.981873	+	0.566885i	−0.902835	−	0.429987i	$-0.858518\pi$
$449$	−197947.	+	114285.i	−0.981873	+	0.566885i	−0.0790380	+	0.996872i	$0.525185\pi$
$450$	−285175.	−	391809.i	−1.40827	−	1.93486i
$451$	−177605.	+	211661.i	−0.873175	+	1.04061i
$452$	−20099.4	+	16865.4i	−0.0983797	+	0.0825504i
$453$	385278.	+	67934.9i	1.87749	+	0.331052i
$454$	−80077.4	+	29145.8i	−0.388506	+	0.141405i
$455$	118492.	−	27409.2i	0.572358	−	0.132396i
$456$	−35280.3	−	423450.i	−0.169669	−	2.03644i
$457$		−	176377.i		−	0.844517i	−0.906475	−	0.422259i	$-0.861237\pi$
$457$		−	176377.i		−	0.844517i	0.906475	−	0.422259i	$-0.138763\pi$
$458$	−322211.	+	117275.i	−1.53606	+	0.559082i
$459$	−13419.3	−	2366.18i	−0.0636948	−	0.0112311i
$460$	12089.7	−	16057.8i	0.0571349	−	0.0758876i
$461$	182516.	+	153149.i	0.858813	+	0.720630i	0.961712	−	0.274062i	$-0.0883674\pi$
$461$	182516.	+	153149.i	0.858813	+	0.720630i	−0.102899	+	0.994692i	$0.532812\pi$
$462$	−622497.	+	109763.i	−2.91644	+	0.514248i
$463$	−76350.1	+	44080.7i	−0.356162	+	0.205630i	−0.667396	−	0.744703i	$-0.732591\pi$
$463$	−76350.1	+	44080.7i	−0.356162	+	0.205630i	0.311234	+	0.950333i	$0.399258\pi$
$464$	159078.	+	91843.9i	0.738882	+	0.426594i
$465$	−7236.07	−	885.357i	−0.0334655	−	0.00409461i
$466$	−102151.	+	280658.i	−0.470405	+	1.29243i
$467$	−75968.1	−	43860.2i	−0.348335	−	0.201112i	0.315616	−	0.948887i	$-0.397789\pi$
$467$	−75968.1	−	43860.2i	−0.348335	−	0.201112i	−0.663952	+	0.747775i	$0.731122\pi$
$468$	32244.6	+	55849.3i	0.147220	+	0.254992i
$469$	90164.9	−	15898.5i	0.409913	−	0.0722787i
$470$	−106764.	−	54341.7i	−0.483312	−	0.246001i
$471$	−263832.	−	314423.i	−1.18928	−	1.41733i
$472$	303252.	+	53471.4i	1.36119	+	0.240015i
$473$	−104298.	−	286557.i	−0.466181	−	1.28082i
$474$			618396.i			2.75239i
$475$	−36029.0	+	222730.i	−0.159685	+	0.987168i
$476$	835.813			0.00368889
$477$	−27631.0	+	10056.8i	−0.121439	+	0.0442003i
$478$	−51020.5	+	289351.i	−0.223300	+	1.26640i
$479$	47524.4	−	39877.7i	0.207131	−	0.173804i	−0.533321	−	0.845913i	$-0.679056\pi$
$479$	47524.4	−	39877.7i	0.207131	−	0.173804i	0.740452	+	0.672110i	$0.234612\pi$
$480$	−72632.6	+	142699.i	−0.315246	+	0.619355i
$481$	2336.38	+	13250.3i	0.0100984	+	0.0572710i
$482$	8899.15	−	5137.93i	0.0383049	−	0.0221154i
$483$	111917.	−	193847.i	0.479737	−	0.830929i
$484$	85227.6	+	31020.3i	0.363823	+	0.132421i
$485$	16870.2	−	137881.i	0.0717194	−	0.586167i
$486$	350876.	−	607736.i	1.48553	−	2.57301i
$487$	160684.	+	278313.i	0.677509	+	1.17348i	0.975729	+	0.218983i	$0.0702739\pi$
$487$	160684.	+	278313.i	0.677509	+	1.17348i	−0.298220	+	0.954497i	$0.596393\pi$
$488$	−72154.1	−	409206.i	−0.302985	−	1.71831i
$489$	268047.	−	319446.i	1.12097	−	1.33592i
$490$	−8580.26	−	6459.97i	−0.0357362	−	0.0269053i
$491$	−16924.5	+	95983.8i	−0.0702027	+	0.398139i	0.929377	+	0.369133i	$0.120345\pi$
$491$	−16924.5	+	95983.8i	−0.0702027	+	0.398139i	−0.999579	+	0.0290062i	$0.990766\pi$
$492$	22503.6	+	61828.2i	0.0929657	+	0.255421i
$493$	−5444.08			−0.0223991
$494$	−34903.2	+	128135.i	−0.143025	+	0.525067i
$495$	257617.	+	1.11370e6i	1.05139	+	4.54527i
$496$	−1160.61	−	3188.74i	−0.00471761	−	0.0129615i
$497$	22665.3	−	128541.i	0.0917588	−	0.520390i
$498$	−154375.	−	183977.i	−0.622469	−	0.741830i
$499$	−199821.	−	167670.i	−0.802490	−	0.673369i	0.146313	−	0.989238i	$-0.453259\pi$
$499$	−199821.	−	167670.i	−0.802490	−	0.673369i	−0.948803	+	0.315869i	$0.897704\pi$
$500$	30199.6	−	34830.3i	0.120798	−	0.139321i
$501$	39931.8	+	69164.0i	0.159090	+	0.275553i
$502$	19993.9	−	34630.4i	0.0793395	−	0.137420i
$503$	29740.8	−	81712.2i	0.117548	−	0.322962i	−0.866940	−	0.498413i	$-0.833916\pi$
$503$	29740.8	−	81712.2i	0.117548	−	0.322962i	0.984488	+	0.175451i	$0.0561385\pi$
$504$	−240071.	+	659590.i	−0.945102	+	2.59665i
$505$	−186439.	−	56913.6i	−0.731063	−	0.223169i
$506$	181616.	−	104856.i	0.709338	−	0.409537i
$507$	54311.2	+	308014.i	0.211287	+	1.19827i
$508$	30825.9	+	25866.0i	0.119451	+	0.100231i
$509$	102615.	+	122292.i	0.396075	+	0.472023i	0.926819	−	0.375509i	$-0.122532\pi$
$509$	102615.	+	122292.i	0.396075	+	0.472023i	−0.530744	+	0.847532i	$0.678088\pi$
$510$	485.841	+	9195.64i	0.00186790	+	0.0353543i
$511$	−193374.	+	70382.5i	−0.740555	+	0.269540i
$512$	−293693.			−1.12035
$513$	−802119.	+	211370.i	−3.04792	+	0.803172i
$514$	−282517.			−1.06935
$515$	170592.	+	262444.i	0.643196	+	0.989515i
$516$	−71514.0	−	12609.9i	−0.268591	−	0.0473599i
$517$	181643.	+	216474.i	0.679576	+	0.809887i
$518$	−14655.5	+	17465.7i	−0.0546186	+	0.0650919i
$519$	−86040.3	−	487959.i	−0.319424	−	1.81154i
$520$	127414.	−	118917.i	0.471205	−	0.439780i
$521$	358983.	+	207259.i	1.32251	+	0.763550i	0.984128	−	0.177459i	$-0.0567877\pi$
$521$	358983.	+	207259.i	1.32251	+	0.763550i	0.338380	+	0.941010i	$0.390121\pi$
$522$	243452.	−	668879.i	0.893454	−	2.45474i
$523$	75307.8	+	27409.8i	0.275319	+	0.100208i	0.475990	−	0.879451i	$-0.342090\pi$
$523$	75307.8	+	27409.8i	0.275319	+	0.100208i	−0.200671	+	0.979659i	$0.564312\pi$
$524$	10906.1	−	18889.9i	0.0397197	−	0.0687965i
$525$	286707.	−	425841.i	1.04021	−	1.54500i
$526$	65969.5	−	11632.2i	0.238436	−	0.0420427i
$527$	77.0427	+	64.6465i	0.000277403	+	0.000232768i
$528$	−561436.	+	471101.i	−2.01387	+	1.68984i
$529$	35698.5	−	202456.i	0.127567	−	0.723468i
$530$	6742.73	+	10373.2i	0.0240040	+	0.0369286i
$531$		−	965475.i		−	3.42414i
$532$	46201.7	−	21311.7i	0.163243	−	0.0752999i
$533$		−	132084.i		−	0.464938i
$534$	−231823.	−	636929.i	−0.812970	−	2.23362i
$535$	−43173.8	+	2281.04i	−0.150839	+	0.00796939i
$536$	100506.	−	84334.5i	0.349834	−	0.293546i
$537$	193382.	−	230463.i	0.670605	−	0.799196i
$538$	279842.	−	49343.6i	0.966825	−	0.170477i
$539$	12667.3	+	21940.5i	0.0436022	+	0.0755212i
$540$	162098.	+	49483.1i	0.555893	+	0.169695i
$541$	155901.	+	56743.3i	0.532665	+	0.193874i	0.594328	−	0.804223i	$-0.297418\pi$
$541$	155901.	+	56743.3i	0.532665	+	0.193874i	−0.0616627	+	0.998097i	$0.519640\pi$
$542$	−45478.6	−	16552.9i	−0.154813	−	0.0563475i
$543$	−600891.	−	346924.i	−2.03796	−	1.17662i
$544$	1913.05	−	1104.50i	0.00646440	−	0.00373222i
$545$	−55955.6	−	131667.i	−0.188387	−	0.443288i
$546$	194230.	−	231474.i	0.651525	−	0.776457i
$547$	21360.7	−	17923.7i	0.0713905	−	0.0599037i	−0.606394	−	0.795164i	$-0.707385\pi$
$547$	21360.7	−	17923.7i	0.0713905	−	0.0599037i	0.677785	+	0.735260i	$0.262940\pi$
$548$	−102653.	−	18100.5i	−0.341830	−	0.0602739i
$549$	−1.22424e6	+	445586.i	−4.06183	+	1.47838i
$550$	432117.	−	211212.i	1.42849	−	0.698222i
$551$	−300935.	+	138814.i	−0.991220	+	0.457225i
$552$		−	320760.i		−	1.05269i
$553$	−446928.	+	162669.i	−1.46146	+	0.531929i
$554$	2898.58	+	511.097i	0.00944421	+	0.00166527i
$555$	45370.8	+	34159.1i	0.147296	+	0.110897i
$556$	−29440.4	−	24703.4i	−0.0952345	−	0.0799112i
$557$	−418147.	+	73730.6i	−1.34778	+	0.237650i	−0.800516	−	0.599311i	$-0.795441\pi$
$557$	−418147.	+	73730.6i	−1.34778	+	0.237650i	−0.547263	+	0.836961i	$0.684330\pi$
$558$	−11388.0	+	6574.84i	−0.0365744	+	0.0211162i
$559$	126246.	+	72888.4i	0.404013	+	0.233257i
$560$	237193.	+	29021.4i	0.756356	+	0.0925427i
$561$	7429.20	−	20411.5i	0.0236057	−	0.0648560i
$562$	378360.	+	218446.i	1.19793	+	0.691628i
$563$	172885.	+	299445.i	0.545431	+	0.944714i	0.998580	+	0.0532791i	$0.0169673\pi$
$563$	172885.	+	299445.i	0.545431	+	0.944714i	−0.453149	+	0.891435i	$0.649699\pi$
$564$	66270.0	−	11685.2i	0.208333	−	0.0367348i
$565$	100850.	−	198138.i	0.315922	−	0.620684i
$566$	304128.	+	362446.i	0.949344	+	1.13138i
$567$	1.04077e6	+	183516.i	3.23735	+	0.570832i
$568$	−63972.6	−	175763.i	−0.198288	−	0.544793i
$569$			168789.i			0.521340i	0.965428	+	0.260670i	$0.0839434\pi$
$569$			168789.i			0.521340i	−0.965428	+	0.260670i	$0.916057\pi$
$570$	261328.	+	495925.i	0.804333	+	1.52639i
$571$	−330403.			−1.01338			−0.506689	−	0.862129i	$-0.669131\pi$
$571$	−330403.			−1.01338			−0.506689	+	0.862129i	$0.669131\pi$
$572$	−60146.2	+	21891.4i	−0.183830	+	0.0669086i
$573$	78073.8	−	442779.i	0.237792	−	1.34858i
$574$	171460.	−	143872.i	0.520402	−	0.436669i
$575$	−41063.4	+	165295.i	−0.124199	+	0.499946i
$576$	169476.	+	961145.i	0.510814	+	2.89697i
$577$	465782.	−	268919.i	1.39904	−	0.807738i	0.404751	−	0.914427i	$-0.367358\pi$
$577$	465782.	−	268919.i	1.39904	−	0.807738i	0.994292	+	0.106689i	$0.0340250\pi$
$578$	−150793.	+	261182.i	−0.451363	+	0.781784i
$579$	−510237.	−	185711.i	−1.52200	−	0.553963i
$580$	67211.8	+	8223.58i	0.199797	+	0.0244458i
$581$	92356.0	−	159965.i	0.273598	−	0.473885i
$582$	−172560.	−	298883.i	−0.509442	−	0.882379i
$583$	−5067.76	−	28740.7i	−0.0149100	−	0.0845591i
$584$	−189554.	+	225901.i	−0.555785	+	0.662359i
$585$	−436555.	−	328677.i	−1.27564	−	0.960411i
$586$	37610.8	−	213301.i	0.109526	−	0.621153i
$587$	98131.1	+	269613.i	0.284794	+	0.782464i	0.996774	+	0.0802643i	$0.0255764\pi$
$587$	98131.1	+	269613.i	0.284794	+	0.782464i	−0.711980	+	0.702200i	$0.752201\pi$
$588$	6032.95			0.0174492
$589$	5907.10	+	1609.06i	0.0170272	+	0.00463811i
$590$	−395781.	+	91550.4i	−1.13698	+	0.263000i
$591$	405672.	+	1.11457e6i	1.16145	+	3.19105i
$592$	−4590.53	+	26034.2i	−0.0130984	+	0.0742850i
$593$	303712.	+	361950.i	0.863679	+	1.02929i	0.999258	+	0.0385257i	$0.0122662\pi$
$593$	303712.	+	361950.i	0.863679	+	1.02929i	−0.135579	+	0.990767i	$0.543289\pi$
$594$	1.35458e6	+	1.13663e6i	3.83912	+	3.22141i
$595$	−6518.10	+	2770.04i	−0.0184114	+	0.00782441i
$596$	−36003.5	−	62359.9i	−0.101357	−	0.175555i
$597$	−140050.	+	242573.i	−0.392947	+	0.680604i
$598$	−34287.7	+	94204.6i	−0.0958817	+	0.263433i
$599$	−87083.3	+	239259.i	−0.242706	+	0.666830i	0.757201	+	0.653182i	$0.226567\pi$
$599$	−87083.3	+	239259.i	−0.242706	+	0.666830i	−0.999907	+	0.0136477i	$0.995656\pi$
$600$	50693.3	−	733911.i	0.140815	−	2.03864i
$601$	−282.930	+	163.350i	−0.000783304	+	0.000452241i	−0.500392	−	0.865799i	$-0.666811\pi$
$601$	−282.930	+	163.350i	−0.000783304	+	0.000452241i	0.499608	+	0.866251i	$0.333477\pi$
$602$	42896.1	+	243276.i	0.118365	+	0.671284i
$603$	−315124.	−	264420.i	−0.866656	−	0.727211i
$604$	43150.5	+	51424.8i	0.118280	+	0.140961i
$605$	−767455.	+	40547.6i	−2.09673	+	0.110778i
$606$	−455103.	+	165644.i	−1.23927	+	0.451056i
$607$	−292807.			−0.794701			−0.397350	−	0.917667i	$-0.630070\pi$
$607$	−292807.			−0.794701			−0.397350	+	0.917667i	$0.630070\pi$
$608$	77586.0	−	109833.i	0.209882	−	0.297116i
$609$	754052.			2.03314
$610$	298749.	+	459605.i	0.802872	+	1.23516i
$611$	−133035.	−	23457.6i	−0.356355	−	0.0628350i
$612$	−2413.89	−	2876.77i	−0.00644489	−	0.00768072i
$613$	−222982.	+	265739.i	−0.593402	+	0.707188i	−0.976256	−	0.216620i	$-0.930497\pi$
$613$	−222982.	+	265739.i	−0.593402	+	0.707188i	0.382854	+	0.923809i	$0.374941\pi$
$614$	−103603.	−	587560.i	−0.274811	−	1.55853i
$615$	−380405.	−	407587.i	−1.00576	−	1.07763i
$616$	−603329.	−	348332.i	−1.58998	−	0.917978i
$617$	45174.5	−	124116.i	0.118665	−	0.326030i	−0.866112	−	0.499849i	$-0.833389\pi$
$617$	45174.5	−	124116.i	0.118665	−	0.326030i	0.984778	+	0.173820i	$0.0556109\pi$
$618$	730786.	+	265984.i	1.91343	+	0.696433i
$619$	−212320.	+	367748.i	−0.554126	+	0.959775i	0.443845	+	0.896104i	$0.353614\pi$
$619$	−212320.	+	367748.i	−0.554126	+	0.959775i	−0.997971	+	0.0636711i	$0.979719\pi$
$620$	−853.506	−	914.494i	−0.00222036	−	0.00237902i
$621$	−616657.	+	108733.i	−1.59905	+	0.281955i
$622$	−59387.2	−	49831.8i	−0.153501	−	0.128803i
$623$	399342.	−	335088.i	1.02889	−	0.863341i
$624$	60838.6	−	345033.i	0.156246	−	0.886117i
$625$	−120078.	+	371711.i	−0.307400	+	0.951580i
$626$		−	355825.i		−	0.908005i
$627$	−109789.	−	1.31773e6i	−0.279269	−	3.35191i
$628$		−	70429.7i		−	0.178582i
$629$	−267.971	−	736.245i	−0.000677309	−	0.00186089i
$630$	−48856.0	−	924709.i	−0.123094	−	2.32983i
$631$	−195145.	+	163746.i	−0.490116	+	0.411256i	−0.854068	−	0.520162i	$-0.825872\pi$
$631$	−195145.	+	163746.i	−0.490116	+	0.411256i	0.363952	+	0.931418i	$0.381427\pi$
$632$	−438098.	+	522105.i	−1.09683	+	1.30715i
$633$	847940.	−	149515.i	2.11621	−	0.373144i
$634$	−27725.4	−	48021.8i	−0.0689762	−	0.119470i
$635$	−326121.	−	99553.6i	−0.808781	−	0.246893i
$636$	−6530.49	−	2376.90i	−0.0161448	−	0.00587621i
$637$	−11380.6	−	4142.19i	−0.0280469	−	0.0102082i
$638$	611826.	+	353238.i	1.50309	+	0.867812i
$639$	−507882.	+	293226.i	−1.24383	+	0.718125i
$640$	240805.	−	102336.i	0.587903	−	0.249845i
$641$	453388.	−	540327.i	1.10345	−	1.31504i	0.158676	−	0.987331i	$-0.449277\pi$
$641$	453388.	−	540327.i	1.10345	−	1.31504i	0.944777	−	0.327714i	$-0.106278\pi$
$642$	−82284.6	+	69045.0i	−0.199641	+	0.167518i
$643$	−14174.7	−	2499.38i	−0.0342840	−	0.00604519i	0.156480	−	0.987681i	$-0.449985\pi$
$643$	−14174.7	−	2499.38i	−0.0342840	−	0.00604519i	−0.190764	+	0.981636i	$0.561096\pi$
$644$	36091.9	−	13136.4i	0.0870238	−	0.0316741i
$645$	599494.	−	138672.i	1.44101	−	0.333327i
$646$	705.922	−	7701.18i	0.00169158	−	0.0184541i
$647$		−	645098.i		−	1.54105i	−0.637409	−	0.770526i	$-0.719994\pi$
$647$		−	645098.i		−	1.54105i	0.637409	−	0.770526i	$-0.280006\pi$
$648$	1.42312e6	−	517974.i	3.38916	−	1.23355i
$649$	943687.	+	166398.i	2.24047	+	0.395055i
$650$	−93339.9	+	210125.i	−0.220923	+	0.497338i
$651$	−10671.1	−	8954.10i	−0.0251795	−	0.0211281i
$652$	70467.8	−	12425.4i	0.165766	−	0.0292290i
$653$	−369191.	+	213153.i	−0.865815	+	0.499879i	−0.865955	−	0.500121i	$-0.833289\pi$
$653$	−369191.	+	213153.i	−0.865815	+	0.499879i	0.000140189		1.00000i	$0.499955\pi$
$654$	−307823.	−	177722.i	−0.719689	−	0.415513i
$655$	−22446.6	+	183458.i	−0.0523201	+	0.427615i
$656$	88760.7	−	243868.i	0.206259	−	0.566692i
$657$	800728.	+	462301.i	1.85504	+	1.07101i
$658$	−114457.	−	198246.i	−0.264358	−	0.457881i
$659$	138526.	−	24425.8i	0.318977	−	0.0562443i	−0.0118672	−	0.999930i	$-0.503778\pi$
$659$	138526.	−	24425.8i	0.318977	−	0.0562443i	0.330845	+	0.943685i	$0.392666\pi$
$660$	−122553.	+	240776.i	−0.281342	+	0.552745i
$661$	−42745.3	−	50941.9i	−0.0978331	−	0.116593i	0.714906	−	0.699220i	$-0.246469\pi$
$661$	−42745.3	−	50941.9i	−0.0978331	−	0.116593i	−0.812740	+	0.582627i	$0.802025\pi$
$662$	237285.	+	41839.8i	0.541446	+	0.0954715i
$663$	3551.44	+	9757.50i	0.00807937	+	0.0221979i
$664$		−	264696.i		−	0.600358i
$665$	−289674.	+	319320.i	−0.655037	+	0.722077i
$666$	102441.			0.230954
$667$	−235085.	+	85563.9i	−0.528412	+	0.192326i
$668$	−2379.66	+	13495.7i	−0.00533289	+	0.0302443i
$669$	175261.	−	147062.i	0.391592	−	0.328585i
$670$	−78513.5	+	154253.i	−0.174902	+	0.343625i
$671$	−224536.	−	1.27341e6i	−0.498702	−	2.82828i
$672$	−264974.	+	152983.i	−0.586765	+	0.338769i
$673$	−214525.	+	371568.i	−0.473639	+	0.820367i	−0.999545	−	0.0301758i	$-0.990393\pi$
$673$	−214525.	+	371568.i	−0.473639	+	0.820367i	0.525905	+	0.850543i	$0.323727\pi$
$674$	−187217.	−	68141.4i	−0.412122	−	0.150000i
$675$	−1.42812e6	+	151329.i	−3.13442	+	0.332135i
$676$	−26834.0	+	46477.8i	−0.0587208	+	0.101707i
$677$	−366528.	−	634845.i	−0.799705	−	1.38513i	−0.919808	−	0.392369i	$-0.871656\pi$
$677$	−366528.	−	634845.i	−0.799705	−	1.38513i	0.120103	−	0.992761i	$-0.461678\pi$
$678$	−95918.3	−	543980.i	−0.208661	−	1.18338i
$679$	170618.	−	203334.i	0.370070	−	0.441033i
$680$	−6104.40	+	8107.98i	−0.0132016	+	0.0175346i
$681$	−70432.8	+	399444.i	−0.151873	+	0.861315i
$682$	−4463.78	−	12264.1i	−0.00959696	−	0.0263674i
$683$	865239.			1.85479			0.927395	−	0.374083i	$-0.122042\pi$
$683$	865239.			1.85479			0.927395	+	0.374083i	$0.122042\pi$
$684$	−206786.	−	97470.9i	−0.441987	−	0.208335i
$685$	860529.	−	199054.i	1.83394	−	0.424218i
$686$	−148732.	−	408637.i	−0.316050	−	0.868339i
$687$	−283404.	+	1.60726e6i	−0.600471	+	3.40544i
$688$	184109.	+	219413.i	0.388954	+	0.463538i
$689$	10687.2	+	8967.59i	0.0225125	+	0.0188902i
$690$	165506.	+	389448.i	0.347629	+	0.817997i
$691$	−201747.	−	349435.i	−0.422523	−	0.731831i	0.573663	−	0.819092i	$-0.305522\pi$
$691$	−201747.	−	349435.i	−0.422523	−	0.731831i	−0.996186	+	0.0872608i	$0.972189\pi$
$692$	42510.6	−	73630.6i	0.0887739	−	0.153761i
$693$	−747076.	+	2.05258e6i	−1.55560	+	4.27398i
$694$	52185.7	−	143379.i	0.108351	−	0.297692i
$695$	311463.	+	95079.1i	0.644818	+	0.196841i
$696$	935801.	−	540285.i	1.93181	−	1.11533i
$697$	1335.62	+	7574.68i	0.00274927	+	0.0155919i
$698$	−216839.	−	181950.i	−0.445068	−	0.373457i
$699$	913777.	+	1.08900e6i	1.87019	+	2.22881i
$700$	84655.8	−	24352.5i	0.172767	−	0.0496991i
$701$	−33567.4	+	12217.5i	−0.0683096	+	0.0248627i	−0.375949	−	0.926640i	$-0.622683\pi$
$701$	−33567.4	+	12217.5i	−0.0683096	+	0.0248627i	0.307639	+	0.951503i	$0.400461\pi$
$702$	−845305.			−1.71530
$703$	−33585.7	−	33865.1i	−0.0679585	−	0.0685238i
$704$	−968663.			−1.95446
$705$	−478080.	+	310758.i	−0.961884	+	0.625236i
$706$	45079.7	+	7948.77i	0.0904423	+	0.0159474i
$707$	−239429.	−	285341.i	−0.479003	−	0.570854i
$708$	146676.	−	174801.i	0.292612	−	0.348721i
$709$	60514.4	+	343194.i	0.120383	+	0.682728i	0.983943	+	0.178482i	$0.0571186\pi$
$709$	60514.4	+	343194.i	0.120383	+	0.682728i	−0.863560	+	0.504246i	$0.831770\pi$
$710$	168363.	+	180393.i	0.333987	+	0.357852i
$711$	1.85065e6	+	1.06847e6i	3.66088	+	2.11361i
$712$	255502.	−	701987.i	0.504005	−	1.38474i
$713$	4342.88	+	1580.68i	0.00854278	+	0.00310932i
$714$	−8797.97	+	15238.5i	−0.0172578	+	0.0298914i
$715$	396499.	−	370056.i	0.775586	−	0.723862i
$716$	50838.8	−	8964.26i	0.0991675	−	0.0174859i
$717$	1.07129e6	+	898923.i	2.08387	+	1.74857i
$718$	25998.6	−	21815.4i	0.0504314	−	0.0423170i
$719$	76213.4	−	432227.i	0.147426	−	0.836093i	−0.817962	−	0.575273i	$-0.804896\pi$
$719$	76213.4	−	432227.i	0.147426	−	0.836093i	0.965387	−	0.260820i	$-0.0839930\pi$
$720$	−585145.	−	900206.i	−1.12875	−	1.73651i
$721$			598122.i			1.15059i
$722$	−157344.	−	443703.i	−0.301840	−	0.851173i
$723$		−	48910.1i		−	0.0935669i
$724$	−40720.4	−	111879.i	−0.0776847	−	0.213437i
$725$	−551406.	+	158620.i	−1.04905	+	0.301775i
$726$	−1.46269e6	+	1.22734e6i	−2.77510	+	2.32858i
$727$	126162.	−	150355.i	0.238705	−	0.284477i	−0.633371	−	0.773848i	$-0.718329\pi$
$727$	126162.	−	150355.i	0.238705	−	0.284477i	0.872076	+	0.489371i	$0.162774\pi$
$728$	327973.	−	57830.4i	0.618835	−	0.109117i
$729$	−774100.	−	1.34078e6i	−1.45661	−	2.52291i
$730$	113584.	−	372083.i	0.213144	−	0.698223i
$731$	−7976.96	−	2903.38i	−0.0149280	−	0.00543336i
$732$	−289345.	−	105313.i	−0.540000	−	0.196544i
$733$	8812.10	+	5087.67i	0.0164011	+	0.00946915i	0.508178	−	0.861252i	$-0.330319\pi$
$733$	8812.10	+	5087.67i	0.0164011	+	0.00946915i	−0.491777	+	0.870721i	$0.663652\pi$
$734$	381049.	−	219999.i	0.707275	−	0.408345i
$735$	−47048.0	+	19994.3i	−0.0870897	+	0.0370111i
$736$	65249.5	−	77761.3i	0.120454	−	0.143552i
$737$	312764.	−	262440.i	0.575814	−	0.483165i
$738$	−990380.	−	174631.i	−1.81840	−	0.320633i
$739$	−193488.	+	70423.7i	−0.354294	+	0.128953i	−0.513035	−	0.858368i	$-0.671479\pi$
$739$	−193488.	+	70423.7i	−0.354294	+	0.128953i	0.158741	+	0.987320i	$0.449257\pi$
$740$	2196.20	+	9494.37i	0.00401059	+	0.0173381i
$741$	445113.	+	448816.i	0.810651	+	0.817395i
$742$			23641.1i			0.0429398i
$743$	769887.	−	280216.i	1.39460	−	0.507593i	0.468028	−	0.883713i	$-0.344964\pi$
$743$	769887.	−	280216.i	1.39460	−	0.507593i	0.926571	+	0.376121i	$0.122742\pi$
$744$	−19658.8	−	3466.38i	−0.0355150	−	0.00626225i
$745$	487446.	+	366992.i	0.878242	+	0.661218i
$746$	129878.	+	108981.i	0.233377	+	0.195827i
$747$	−817312.	+	144114.i	−1.46469	+	0.258265i
$748$	3227.88	−	1863.61i	0.00576917	−	0.00333083i
$749$	−71545.3	−	41306.7i	−0.127532	−	0.0736304i
$750$	317136.	+	917230.i	0.563797	+	1.63063i
$751$	89936.2	−	247098.i	0.159461	−	0.438116i	−0.834072	−	0.551655i	$-0.813997\pi$
$751$	89936.2	−	247098.i	0.159461	−	0.438116i	0.993534	+	0.113539i	$0.0362188\pi$
$752$	−229860.	−	132710.i	−0.406470	−	0.234676i
$753$	−95165.1	−	164831.i	−0.167837	−	0.290702i
$754$	−332592.	+	58644.9i	−0.585017	+	0.103154i
$755$	−506941.	−	258028.i	−0.889331	−	0.452661i
$756$	208170.	+	248087.i	0.364229	+	0.434071i
$757$	−975029.	−	171924.i	−1.70148	−	0.300016i	−0.763267	−	0.646083i	$-0.776406\pi$
$757$	−975029.	−	171924.i	−1.70148	−	0.300016i	−0.938210	+	0.346067i	$0.887517\pi$
$758$	−127024.	−	348996.i	−0.221079	−	0.607410i
$759$		−	998171.i		−	1.73269i
$760$	−130698.	+	603840.i	−0.226278	+	1.04543i
$761$	−668166.			−1.15376			−0.576880	−	0.816829i	$-0.695730\pi$
$761$	−668166.			−1.15376			−0.576880	+	0.816829i	$0.695730\pi$
$762$	−796069.	+	289745.i	−1.37101	+	0.499007i
$763$	47470.7	−	269220.i	0.0815412	−	0.462443i
$764$	59099.7	−	49590.5i	0.101251	−	0.0849595i
$765$	28358.9	+	14434.4i	0.0484581	+	0.0246647i
$766$	57630.9	+	326841.i	0.0982195	+	0.557030i
$767$	−396707.	+	229039.i	−0.674340	+	0.389331i
$768$	−300430.	+	520359.i	−0.509355	+	0.882228i
$769$	−119395.	−	43456.3i	−0.201899	−	0.0734852i	0.239091	−	0.970997i	$-0.423150\pi$
$769$	−119395.	−	43456.3i	−0.201899	−	0.0734852i	−0.440990	+	0.897512i	$0.645373\pi$
$770$	912262.	+	111618.i	1.53864	+	0.188258i
$771$	−672350.	+	1.16454e6i	−1.13106	+	1.95906i
$772$	−46585.6	−	80688.7i	−0.0781659	−	0.135387i
$773$	−153575.	−	870967.i	−0.257017	−	1.45761i	−0.790843	−	0.612020i	$-0.790357\pi$
$773$	−153575.	−	870967.i	−0.257017	−	1.45761i	0.533826	−	0.845594i	$-0.320754\pi$
$774$	713439.	−	850243.i	1.19090	−	1.41926i
$775$	9686.88	+	4303.02i	0.0161280	+	0.00716423i
$776$	66050.8	−	374593.i	0.109687	−	0.622065i
$777$	37116.4	+	101976.i	0.0614785	+	0.168911i
$778$	51867.6			0.0856913
$779$	266970.	+	384654.i	0.439935	+	0.633864i
$780$	−29106.3	−	125829.i	−0.0478408	−	0.206820i
$781$	−199076.	−	546957.i	−0.326375	−	0.896708i
$782$	1013.73	−	5749.12i	0.00165770	−	0.00940130i
$783$	−1.35592e6	−	1.61592e6i	−2.21162	−	2.63570i
$784$	−18228.5	−	15295.6i	−0.0296565	−	0.0248847i
$785$	233417.	+	549247.i	0.378785	+	0.891309i
$786$	229600.	+	397679.i	0.371643	+	0.643705i
$787$	−19016.5	+	32937.5i	−0.0307030	+	0.0531791i	−0.880969	−	0.473175i	$-0.843108\pi$
$787$	−19016.5	+	32937.5i	−0.0307030	+	0.0531791i	0.850266	+	0.526354i	$0.176441\pi$
$788$	−69609.9	+	191252.i	−0.112103	+	0.308001i
$789$	109050.	−	299612.i	0.175174	−	0.481288i
$790$	262517.	−	859962.i	0.420633	−	1.37792i
$791$	367915.	−	212416.i	0.588024	−	0.339496i
$792$	543545.	+	3.08260e6i	0.866533	+	4.91435i
$793$	473514.	+	397325.i	0.752984	+	0.631829i
$794$	−493104.	−	587659.i	−0.782164	−	0.932147i
$795$	58805.6	−	3106.93i	0.0930431	−	0.00491583i
$796$	−45164.2	+	16438.4i	−0.0712801	+	0.0259438i
$797$	723352.			1.13876			0.569381	−	0.822073i	$-0.307183\pi$
$797$	723352.			1.13876			0.569381	+	0.822073i	$0.307183\pi$
$798$	−97776.3	+	1.06668e6i	−0.153542	+	1.67505i
$799$	7866.43			0.0123221
$800$	161583.	−	167609.i	0.252473	−	0.261889i
$801$	−2.30666e6	−	406727.i	−3.59517	−	0.633925i
$802$	−33009.7	−	39339.4i	−0.0513208	−	0.0611617i
$803$	−589872.	+	702982.i	−0.914801	+	1.09022i
$804$	−16882.9	−	95747.7i	−0.0261177	−	0.148121i
$805$	−237927.	+	222059.i	−0.367157	+	0.342671i
$806$	5403.11	+	3119.49i	0.00831714	+	0.00480190i
$807$	462587.	−	1.27095e6i	0.710307	−	1.95155i
$808$	−501588.	−	182563.i	−0.768289	−	0.279634i
$809$	394947.	−	684068.i	0.603450	−	1.04521i	−0.388844	−	0.921304i	$-0.627126\pi$
$809$	394947.	−	684068.i	0.603450	−	1.04521i	0.992294	−	0.123903i	$-0.0395411\pi$
$810$	−1.46061e6	+	1.36320e6i	−2.22620	+	2.07773i
$811$	415410.	−	73248.0i	0.631590	−	0.111366i	0.151317	−	0.988485i	$-0.451649\pi$
$811$	415410.	−	73248.0i	0.631590	−	0.111366i	0.480273	+	0.877119i	$0.340537\pi$
$812$	99117.7	+	83169.6i	0.150328	+	0.126140i
$813$	−176464.	+	148071.i	−0.266978	+	0.224021i
$814$	−17655.5	+	100129.i	−0.0266459	+	0.151117i
$815$	−508364.	+	330443.i	−0.765349	+	0.497486i
$816$			20402.0i			0.0306402i
$817$	−514978.	+	42906.1i	−0.771515	+	0.0642798i
$818$			794990.i			1.18811i
$819$	−357131.	−	981209.i	−0.532427	−	1.46283i
$820$	−5047.41	−	95533.5i	−0.00750655	−	0.142078i
$821$	633202.	−	531319.i	0.939411	−	0.788259i	−0.0380716	−	0.999275i	$-0.512122\pi$
$821$	633202.	−	531319.i	0.939411	−	0.788259i	0.977483	+	0.211016i	$0.0676771\pi$
$822$	1.41056e6	−	1.68104e6i	2.08760	−	2.48790i
$823$	−833578.	+	146982.i	−1.23068	+	0.217003i	−0.750919	−	0.660394i	$-0.770389\pi$
$823$	−833578.	+	146982.i	−1.23068	+	0.217003i	−0.479765	+	0.877397i	$0.659278\pi$
$824$	428560.	+	742288.i	0.631186	+	1.09325i
$825$	157752.	−	2.28385e6i	0.231776	−	3.35553i
$826$	−729432.	−	265491.i	−1.06912	−	0.389126i
$827$	1.05076e6	+	382445.i	1.53636	+	0.559189i	0.965169	−	0.261629i	$-0.0842596\pi$
$827$	1.05076e6	+	382445.i	1.53636	+	0.559189i	0.571190	+	0.820818i	$0.306482\pi$
$828$	−149450.	−	86285.0i	−0.217989	−	0.125856i
$829$	224087.	−	129377.i	0.326068	−	0.188255i	−0.328026	−	0.944669i	$-0.606383\pi$
$829$	224087.	−	129377.i	0.326068	−	0.188255i	0.654094	+	0.756413i	$0.273050\pi$
$830$	136578.	+	321379.i	0.198256	+	0.466510i
$831$	9004.96	−	10731.7i	0.0130401	−	0.0155405i
$832$	354723.	−	297648.i	0.512440	−	0.429988i
$833$	694.533	+	122.465i	0.00100093	+	0.000176491i
$834$	760289.	−	276723.i	1.09307	−	0.397844i
$835$	−26169.5	−	113133.i	−0.0375338	−	0.162262i
$836$	130910.	−	185321.i	0.187310	−	0.265162i
$837$			38969.0i			0.0556248i
$838$	−44198.6	+	16087.0i	−0.0629391	+	0.0229080i
$839$	−89542.3	−	15788.7i	−0.127205	−	0.0224297i	0.109683	−	0.993967i	$-0.465016\pi$
$839$	−89542.3	−	15788.7i	−0.127205	−	0.0224297i	−0.236888	+	0.971537i	$0.576128\pi$
$840$	845512.	−	1.12302e6i	1.19829	−	1.59159i
$841$	−103795.	−	87094.3i	−0.146752	−	0.123140i
$842$	−924525.	+	163019.i	−1.30405	+	0.229939i
$843$	1.80089e6	−	1.03974e6i	2.53414	−	1.46309i
$844$	127950.	+	73872.0i	0.179620	+	0.103704i
$845$	55229.1	−	451391.i	0.0773490	−	0.632178i
$846$	−351776.	+	966498.i	−0.491503	+	1.35039i
$847$	−1.27179e6	−	734266.i	−1.77275	−	1.02350i
$848$	13705.6	+	23738.8i	0.0190593	+	0.0330116i
$849$	2.21779e6	−	391057.i	3.07685	−	0.542531i
$850$	3228.04	−	12994.0i	0.00446788	−	0.0179848i
$851$	−23143.0	−	27580.7i	−0.0319565	−	0.0380843i
$852$	−136500.	−	24068.7i	−0.188042	−	0.0331568i
$853$	−67362.7	−	185077.i	−0.0925808	−	0.254364i	0.884756	−	0.466055i	$-0.154325\pi$
$853$	−67362.7	−	185077.i	−0.0925808	−	0.254364i	−0.977337	+	0.211691i	$0.932103\pi$
$854$			1.04746e6i			1.43622i
$855$	1.93566e6	+	74799.9i	2.64787	+	0.102322i
$856$	−118387.			−0.161568
$857$	−546340.	+	198852.i	−0.743878	+	0.270749i	−0.686027	−	0.727576i	$-0.740647\pi$
$857$	−546340.	+	198852.i	−0.743878	+	0.270749i	−0.0578504	+	0.998325i	$0.518425\pi$
$858$	233989.	−	1.32702e6i	0.317849	−	1.80261i
$859$	−495515.	+	415787.i	−0.671538	+	0.563488i	−0.913520	−	0.406793i	$-0.866647\pi$
$859$	−495515.	+	415787.i	−0.671538	+	0.563488i	0.241982	+	0.970281i	$0.422203\pi$
$860$	94096.7	+	47894.3i	0.127227	+	0.0647571i
$861$	−184995.	−	1.04916e6i	−0.249548	−	1.41526i
$862$	−738064.	+	426121.i	−0.993297	+	0.573481i
$863$	78989.6	−	136814.i	0.106059	−	0.183700i	−0.808111	−	0.589030i	$-0.799510\pi$
$863$	78989.6	−	136814.i	0.106059	−	0.183700i	0.914170	+	0.405330i	$0.132843\pi$
$864$	804308.	+	292744.i	1.07744	+	0.392158i
$865$	−87494.4	+	715097.i	−0.116936	+	0.955724i
$866$	101729.	−	176201.i	0.135647	−	0.234948i
$867$	717733.	+	1.24315e6i	0.954827	+	1.65381i
$868$	−415.069	−	2353.98i	−0.000550911	−	0.00312437i
$869$	−1.36332e6	+	1.62474e6i	−1.80533	+	2.15151i
$870$	−857419.	+	1.13884e6i	−1.13280	+	1.50461i
$871$	−33891.9	+	192210.i	−0.0446745	+	0.253362i
$872$	−133986.	−	368123.i	−0.176208	−	0.484128i
$873$	−1.19261e6			−1.56484
$874$	−90555.6	−	343646.i	−0.118548	−	0.449871i
$875$	−579480.	+	470478.i	−0.756872	+	0.614502i
$876$	74740.5	+	205348.i	0.0973975	+	0.267597i
$877$	−161547.	+	916177.i	−0.210039	+	1.19119i	0.679273	+	0.733886i	$0.262295\pi$
$877$	−161547.	+	916177.i	−0.210039	+	1.19119i	−0.889311	+	0.457302i	$0.848816\pi$
$878$	−532636.	−	634770.i	−0.690941	−	0.823432i
$879$	−789727.	−	662660.i	−1.02211	−	0.857655i
$880$	980740.	−	416791.i	1.26645	−	0.538212i
$881$	730339.	+	1.26498e6i	0.940964	+	1.62980i	0.763638	+	0.645645i	$0.223411\pi$
$881$	730339.	+	1.26498e6i	0.940964	+	1.62980i	0.177326	+	0.984152i	$0.443255\pi$
$882$	−46105.1	+	79856.4i	−0.0592669	+	0.102653i
$883$	−96440.0	+	264967.i	−0.123690	+	0.339836i	−0.986048	−	0.166464i	$-0.946765\pi$
$883$	−96440.0	+	264967.i	−0.123690	+	0.339836i	0.862357	+	0.506300i	$0.168987\pi$
$884$	−609.397	+	1674.31i	−0.000779823	+	0.00214255i
$885$	−564529.	+	1.84930e6i	−0.720775	+	2.36114i
$886$	64396.3	−	37179.2i	0.0820339	−	0.0473623i
$887$	25449.3	+	144330.i	0.0323465	+	0.183446i	0.996700	−	0.0811702i	$-0.0258657\pi$
$887$	25449.3	+	144330.i	0.0323465	+	0.183446i	−0.964354	+	0.264617i	$0.914755\pi$
$888$	119130.	+	99961.5i	0.151075	+	0.126767i
$889$	−418811.	−	499119.i	−0.529925	−	0.631540i
$890$	51996.3	+	984147.i	0.0656436	+	1.24245i
$891$	4.42861e6	−	1.61188e6i	5.57843	−	2.03038i
$892$	39258.0			0.0493400
$893$	434837.	−	200579.i	0.545285	−	0.251526i
$894$	1.51593e6			1.89672
$895$	−366758.	+	238397.i	−0.457861	+	0.297615i
$896$	492373.	+	86818.6i	0.613307	+	0.108143i
$897$	306715.	+	365529.i	0.381197	+	0.454293i
$898$	530743.	−	632515.i	0.658160	−	0.784364i
$899$	2703.56	+	15332.6i	0.00334516	+	0.0189713i
$900$	−328311.	−	221043.i	−0.405322	−	0.272892i
$901$	−703.562	−	406.202i	−0.000866668	−	0.000500371i
$902$	341380.	−	937933.i	0.419590	−	1.15281i
$903$	1.10488e6	+	402143.i	1.35500	+	0.493179i
$904$	304396.	−	527229.i	0.372479	−	0.645153i
$905$	688345.	+	737531.i	0.840444	+	0.900498i
$906$	−1.39179e6	+	245410.i	−1.69557	+	0.298975i
$907$	73855.0	+	61971.7i	0.0897770	+	0.0753319i	0.686572	−	0.727062i	$-0.259115\pi$
$907$	73855.0	+	61971.7i	0.0897770	+	0.0753319i	−0.596795	+	0.802394i	$0.703559\pi$
$908$	−53315.7	+	44737.2i	−0.0646671	+	0.0542621i
$909$	−290617.	+	1.64817e6i	−0.351717	+	1.99469i
$910$	−368367.	+	239443.i	−0.444833	+	0.289147i
$911$			1.10018e6i			1.32564i	0.748777	+	0.662822i	$0.230641\pi$
$911$			1.10018e6i			1.32564i	−0.748777	+	0.662822i	$0.769359\pi$
$912$	520213.	+	1.12777e6i	0.625448	+	1.35591i
$913$		−	823705.i		−	0.988167i
$914$	217917.	+	598723.i	0.260855	+	0.716694i
$915$	2.60549e6	−	137658.i	3.11205	−	0.164422i
$916$	−214529.	+	180011.i	−0.255679	+	0.214540i
$917$	−227015.	+	270546.i	−0.269970	+	0.321738i
$918$	48476.2	−	8547.66i	0.0575232	−	0.0101429i
$919$	444827.	+	770463.i	0.526696	+	0.912264i	0.999516	+	0.0311054i	$0.00990275\pi$
$919$	444827.	+	770463.i	0.526696	+	0.912264i	−0.472820	+	0.881159i	$0.656764\pi$
$920$	−136167.	+	446059.i	−0.160877	+	0.527007i
$921$	−2.66850e6	−	971256.i	−3.14593	−	1.14502i
$922$	−808782.	−	294373.i	−0.951414	−	0.346287i
$923$	240969.	+	139123.i	0.282851	+	0.163304i
$924$	−447089.	+	258127.i	−0.523660	+	0.302335i
$925$	−48593.1	−	66763.3i	−0.0567926	−	0.0780287i
$926$	204713.	−	243967.i	0.238739	−	0.284518i
$927$	2.05866e6	−	1.72742e6i	2.39566	−	2.01020i
$928$	336771.	+	59381.8i	0.391056	+	0.0689537i
$929$	835675.	−	304161.i	0.968292	−	0.352429i	0.191014	−	0.981587i	$-0.438822\pi$
$929$	835675.	−	304161.i	0.968292	−	0.352429i	0.777278	+	0.629158i	$0.216600\pi$
$930$	25657.2	−	5934.93i	0.0296650	−	0.00686198i
$931$	41514.8	−	10939.7i	0.0478964	−	0.0126214i
$932$			243932.i			0.280826i
$933$	−346741.	+	126204.i	−0.398329	+	0.144980i
$934$	312070.	+	55026.3i	0.357732	+	0.0630778i
$935$	−18996.3	+	25231.2i	−0.0217293	+	0.0288612i
$936$	−1.14626e6	−	961823.i	−1.30837	−	1.09785i
$937$	−1.09858e6	+	193709.i	−1.25127	+	0.220633i	−0.759740	−	0.650228i	$-0.774674\pi$
$937$	−1.09858e6	+	193709.i	−1.25127	+	0.220633i	−0.491531	+	0.870860i	$0.663562\pi$
$938$	−286428.	+	165369.i	−0.325544	+	0.187953i
$939$	−1.46672e6	−	846813.i	−1.66348	−	0.960410i
$940$	−97117.8	−	11882.7i	−0.109911	−	0.0134480i
$941$	325026.	−	893001.i	0.367061	−	1.00849i	−0.609412	−	0.792854i	$-0.708594\pi$
$941$	325026.	−	893001.i	0.367061	−	1.00849i	0.976473	−	0.215639i	$-0.0691833\pi$
$942$	1.28407e6	+	741360.i	1.44706	+	0.835463i
$943$	176725.	+	306096.i	0.198735	+	0.344219i
$944$	−886360.	+	156289.i	−0.994641	+	0.175382i
$945$	−2.44562e6	−	1.24480e6i	−2.73858	−	1.39391i
$946$	708096.	+	843876.i	0.791243	+	0.942967i
$947$	910623.	+	160567.i	1.01540	+	0.179043i	0.656495	−	0.754330i	$-0.272038\pi$
$947$	910623.	+	160567.i	1.01540	+	0.179043i	0.358908	+	0.933373i	$0.383149\pi$
$948$	172741.	+	474602.i	0.192211	+	0.528096i
$949$		−	438685.i		−	0.487102i
$950$	−152885.	−	800587.i	−0.169401	−	0.887077i
$951$	−263930.			−0.291829
$952$	−18223.7	+	6632.87i	−0.0201077	+	0.00731859i
$953$	−252725.	+	1.43327e6i	−0.278267	+	1.57813i	0.450122	+	0.892967i	$0.351381\pi$
$953$	−252725.	+	1.43327e6i	−0.278267	+	1.57813i	−0.728389	+	0.685164i	$0.759731\pi$
$954$	81369.8	−	68277.4i	0.0894060	−	0.0750205i
$955$	−296538.	+	582600.i	−0.325142	+	0.638798i
$956$	41669.8	+	236321.i	0.0455938	+	0.258575i
$957$	2.91212e6	−	1.68131e6i	3.17969	−	1.83579i
$958$	−112055.	+	194085.i	−0.122096	+	0.211476i
$959$	1.58597e6	+	577246.i	1.72448	+	0.627659i
$960$	237378.	−	1.94010e6i	0.257571	−	2.10514i
$961$	−461617.	+	799544.i	−0.499844	+	0.865756i
$962$	−24302.0	−	42092.3i	−0.0262598	−	0.0454834i
$963$	64455.8	+	365547.i	0.0695040	+	0.394177i
$964$	5394.64	−	6429.08i	0.00580508	−	0.00691823i
$965$	630715.	+	474858.i	0.677296	+	0.509928i
$966$	−140410.	+	796303.i	−0.150468	+	0.853344i
$967$	−489619.	−	1.34522e6i	−0.523607	−	1.43860i	−0.866478	−	0.499215i	$-0.833622\pi$
$967$	−489619.	−	1.34522e6i	−0.523607	−	1.43860i	0.342871	−	0.939382i	$-0.388601\pi$
$968$	−2.10443e6			−2.24587
$969$	−30064.5	−	21237.6i	−0.0320190	−	0.0226181i
$970$	113088.	+	488891.i	0.120191	+	0.519599i
$971$	−52522.5	−	144304.i	−0.0557067	−	0.153053i	0.908718	−	0.417410i	$-0.137062\pi$
$971$	−52522.5	−	144304.i	−0.0557067	−	0.153053i	−0.964425	+	0.264358i	$0.914840\pi$
$972$	99524.8	−	564433.i	0.105341	−	0.597420i
$973$	399987.	+	476686.i	0.422494	+	0.503509i
$974$	−889316.	−	746225.i	−0.937429	−	0.786596i
$975$	644007.	+	884818.i	0.677457	+	0.930775i
$976$	607251.	+	1.05179e6i	0.637483	+	1.10415i
$977$	−352779.	+	611031.i	−0.369584	+	0.640139i	−0.989501	−	0.144529i	$-0.953833\pi$
$977$	−352779.	+	611031.i	−0.369584	+	0.640139i	0.619916	+	0.784668i	$0.287167\pi$
$978$	−515222.	+	1.41556e6i	−0.538662	+	1.47996i
$979$	795097.	−	2.18451e6i	0.829573	−	2.27923i
$980$	−8389.62	−	2561.07i	−0.00873555	−	0.00266667i
$981$	−1.06372e6	+	614140.i	−1.10532	+	0.638159i
$982$	−61138.7	−	346735.i	−0.0634005	−	0.359562i
$983$	−932926.	−	782818.i	−0.965473	−	0.810128i	0.0163616	−	0.999866i	$-0.494792\pi$
$983$	−932926.	−	782818.i	−0.965473	−	0.810128i	−0.981835	+	0.189738i	$0.939236\pi$
$984$	−981317.	−	1.16949e6i	−1.01349	−	1.20783i
$985$	−90989.3	−	1.72218e6i	−0.0937816	−	1.77503i
$986$	18480.3	−	6726.28i	0.0190088	−	0.00691865i
$987$	−1.08957e6			−1.11846
$988$	9005.66	+	108090.i	0.00922575	+	0.110732i
$989$	−390091.			−0.398817
$990$	−2.25051e6	−	3.46225e6i	−2.29620	−	3.53255i
$991$	−115762.	−	20412.0i	−0.117875	−	0.0207845i	0.114400	−	0.993435i	$-0.463506\pi$
$991$	−115762.	−	20412.0i	−0.117875	−	0.0207845i	−0.232274	+	0.972650i	$0.574617\pi$
$992$	−4060.73	−	4839.39i	−0.00412649	−	0.00491776i
$993$	737171.	−	878526.i	0.747601	−	0.890956i
$994$	81876.6	+	464345.i	0.0828680	+	0.469968i
$995$	297734.	−	277878.i	0.300733	−	0.280677i
$996$	−169870.	−	98074.5i	−0.171237	−	0.0988638i
$997$	−240235.	+	660041.i	−0.241683	+	0.664019i	0.758244	+	0.651970i	$0.226057\pi$
$997$	−240235.	+	660041.i	−0.241683	+	0.664019i	−0.999927	+	0.0120482i	$0.996165\pi$
$998$	885466.	+	322283.i	0.889018	+	0.323576i
$999$	151792.	−	262911.i	0.152096	−	0.263438i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	95.5.o.a.14.12	✓	228
5.4	even	2	inner	95.5.o.a.14.27	yes	228
19.15	odd	18	inner	95.5.o.a.34.27	yes	228
95.34	odd	18	inner	95.5.o.a.34.12	yes	228

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
95.5.o.a.14.12	✓	228	1.1	even	1	trivial
95.5.o.a.14.27	yes	228	5.4	even	2	inner
95.5.o.a.34.12	yes	228	95.34	odd	18	inner
95.5.o.a.34.27	yes	228	19.15	odd	18	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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 95 = 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 5 \)
Character orbit:	\([\chi]\)	\(=\)	95.o (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-3.39457 + 1.23552i) q^{2} +(-2.98573 + 16.9329i) q^{3} +(-2.26011 + 1.89646i) q^{4} +(11.3403 - 22.2800i) q^{5} +(-10.7857 - 61.1689i) q^{6} +(41.3710 - 23.8855i) q^{7} +(34.2284 - 59.2854i) q^{8} +(-201.694 - 73.4105i) q^{9} +(-10.9680 + 89.6422i) q^{10} +(106.515 - 184.490i) q^{11} +(-25.3645 - 43.9326i) q^{12} +(17.6838 + 100.290i) q^{13} +(-110.926 + 132.196i) q^{14} +(343.406 + 258.546i) q^{15} +(-34.7452 + 197.050i) q^{16} +(-2.02824 - 5.57255i) q^{17} +775.364 q^{18} +(-254.206 - 256.321i) q^{19} +(16.6227 + 71.8617i) q^{20} +(280.929 + 771.846i) q^{21} +(-133.632 + 757.866i) q^{22} +(-175.166 - 208.755i) q^{23} +(901.677 + 756.596i) q^{24} +(-367.795 - 505.323i) q^{25} +(-183.939 - 318.592i) q^{26} +(1148.89 - 1989.94i) q^{27} +(-48.2051 + 132.442i) q^{28} +(313.984 - 862.664i) q^{29} +(-1485.16 - 453.368i) q^{30} +(-14.6872 + 8.47968i) q^{31} +(64.6841 + 366.841i) q^{32} +(2805.92 + 2354.45i) q^{33} +(13.7700 + 16.4105i) q^{34} +(-63.0104 - 1192.61i) q^{35} +(595.070 - 216.588i) q^{36} +132.120 q^{37} +(1179.61 + 556.022i) q^{38} -1750.99 q^{39} +(-932.716 - 1434.92i) q^{40} +(-1277.31 - 225.224i) q^{41} +(-1907.27 - 2272.99i) q^{42} +(920.134 - 1096.57i) q^{43} +(109.141 + 618.970i) q^{44} +(-3922.85 + 3661.23i) q^{45} +(852.536 + 492.212i) q^{46} +(-453.692 + 1246.51i) q^{47} +(-3232.88 - 1176.67i) q^{48} +(-59.4626 + 102.992i) q^{49} +(1872.85 + 1260.94i) q^{50} +(100.415 - 17.7059i) q^{51} +(-230.163 - 193.129i) q^{52} +(104.944 - 88.0585i) q^{53} +(-1441.38 + 8174.48i) q^{54} +(-2902.52 - 4465.33i) q^{55} -3270.26i q^{56} +(5099.24 - 3539.14i) q^{57} +3316.31i q^{58} +(1538.46 + 4226.89i) q^{59} +(-1266.46 + 66.9119i) q^{60} +(4649.73 - 3901.59i) q^{61} +(39.3800 - 46.9313i) q^{62} +(-10097.7 + 1780.50i) q^{63} +(-2273.53 - 3937.87i) q^{64} +(2434.99 + 743.320i) q^{65} +(-12433.9 - 4525.57i) q^{66} +(1800.97 + 655.500i) q^{67} +(15.1522 + 8.74811i) q^{68} +(4057.83 - 2342.79i) q^{69} +(1687.39 + 3970.56i) q^{70} +(1756.28 - 2093.05i) q^{71} +(-11255.8 + 9444.75i) q^{72} +(-4242.28 - 748.029i) q^{73} +(-448.491 + 163.237i) q^{74} +(9654.73 - 4719.09i) q^{75} +(1060.64 + 97.2222i) q^{76} -10176.7i q^{77} +(5943.87 - 2163.39i) q^{78} +(-9804.80 - 1728.85i) q^{79} +(3996.24 + 3008.72i) q^{80} +(16947.0 + 14220.2i) q^{81} +(4614.19 - 813.606i) q^{82} +(3348.58 - 1933.30i) q^{83} +(-2098.71 - 1211.69i) q^{84} +(-147.157 - 18.0052i) q^{85} +(-1768.62 + 4859.24i) q^{86} +(13669.9 + 7892.35i) q^{87} +(-7291.70 - 12629.6i) q^{88} +(10746.8 - 1894.94i) q^{89} +(8792.86 - 17275.1i) q^{90} +(3127.07 + 3726.69i) q^{91} +(791.791 + 139.614i) q^{92} +(-99.7335 - 274.016i) q^{93} -4791.91i q^{94} +(-8593.59 + 2756.95i) q^{95} -6404.82 q^{96} +(5221.28 - 1900.39i) q^{97} +(74.6007 - 423.082i) q^{98} +(-35027.0 + 29391.1i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 228 q + 30 q^{4} - 6 q^{5} + 42 q^{6} - 12 q^{9} + 291 q^{10} + 84 q^{11} + 738 q^{14} + 1113 q^{15} - 1974 q^{16} - 900 q^{19} - 570 q^{20} + 1878 q^{21} - 5988 q^{24} + 804 q^{25} - 3678 q^{26} - 1992 q^{29}+ \cdots + 99978 q^{99}+O(q^{100}) \) 228 * q + 30 * q^4 - 6 * q^5 + 42 * q^6 - 12 * q^9 + 291 * q^10 + 84 * q^11 + 738 * q^14 + 1113 * q^15 - 1974 * q^16 - 900 * q^19 - 570 * q^20 + 1878 * q^21 - 5988 * q^24 + 804 * q^25 - 3678 * q^26 - 1992 * q^29 + 1614 * q^30 - 18 * q^31 + 1596 * q^34 + 1296 * q^35 + 4818 * q^36 - 1872 * q^39 - 11868 * q^40 - 2820 * q^41 - 3660 * q^44 + 2967 * q^45 - 5778 * q^46 + 37698 * q^49 - 3438 * q^50 + 19644 * q^51 + 7824 * q^54 - 12498 * q^55 + 9384 * q^59 + 39330 * q^60 - 15960 * q^61 - 35022 * q^64 + 19836 * q^65 + 2772 * q^66 + 44046 * q^69 - 9045 * q^70 + 20688 * q^71 - 45690 * q^74 - 7344 * q^76 - 39204 * q^79 + 52911 * q^80 + 16722 * q^81 - 231462 * q^84 - 70140 * q^85 - 3054 * q^86 - 18480 * q^89 - 78126 * q^90 - 74718 * q^91 - 104829 * q^95 + 221400 * q^96 + 99978 * q^99

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