LMFDB - Embedded newform 161.4.o.a.10.38

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [161,4,Mod(5,161)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(161, base_ring=CyclotomicField(66))

chi = DirichletCharacter(H, H._module([55, 3]))

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

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

chi := DirichletCharacter("161.5");

S:= CuspForms(chi, 4);

N := Newforms(S);

Level:	$ N $	$=$	$ 161 = 7 \cdot 23 $
Weight:	$ k $	$=$	$ 4 $
Character orbit:	$[\chi]$	$=$	161.o (of order $66$, degree $20$, 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:	$9.49930751092$
Analytic rank:	$0$
Dimension:	$920$
Relative dimension:	$46$ over $\Q(\zeta_{66})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label			10.38
Character	$\chi$	$=$	161.10
Dual form			161.4.o.a.145.38

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(1.21441 - 3.50881i) q^{2} +(3.86635 + 7.49966i) q^{3} +(-4.54856 - 3.57703i) q^{4} +(-1.38822 + 0.132559i) q^{5} +(31.0103 - 4.45860i) q^{6} +(17.5272 + 5.98308i) q^{7} +(6.91384 - 4.44325i) q^{8} +(-25.6348 + 35.9990i) q^{9} +(-1.22075 + 5.03200i) q^{10} +(-43.4305 + 15.0315i) q^{11} +(9.24019 - 47.9427i) q^{12} +(22.7808 + 77.5842i) q^{13} +(42.2788 - 54.2338i) q^{14} +(-6.36151 - 9.89870i) q^{15} +(-18.1082 - 74.6430i) q^{16} +(-26.0763 - 10.4394i) q^{17} +(95.1827 + 133.665i) q^{18} +(127.033 - 50.8563i) q^{19} +(6.78859 + 4.36276i) q^{20} +(22.8951 + 154.581i) q^{21} +170.644i q^{22} +(98.2055 - 50.2263i) q^{23} +(60.0542 + 34.6723i) q^{24} +(-120.831 + 23.2884i) q^{25} +(299.894 + 14.2857i) q^{26} +(-143.596 - 20.6461i) q^{27} +(-58.3219 - 89.9096i) q^{28} +(-1.25458 - 8.72581i) q^{29} +(-42.4582 + 10.3002i) q^{30} +(202.423 - 9.64259i) q^{31} +(-218.449 - 20.8594i) q^{32} +(-280.648 - 267.598i) q^{33} +(-68.2973 + 78.8193i) q^{34} +(-25.1248 - 5.98246i) q^{35} +(245.371 - 72.0474i) q^{36} +(-94.3718 - 67.2019i) q^{37} +(-24.1750 - 507.495i) q^{38} +(-493.777 + 470.816i) q^{39} +(-9.00896 + 7.08473i) q^{40} +(-357.866 - 163.432i) q^{41} +(570.199 + 107.390i) q^{42} +(214.695 - 334.072i) q^{43} +(251.314 + 86.9807i) q^{44} +(30.8148 - 53.3729i) q^{45} +(-56.9728 - 405.580i) q^{46} +(-81.2312 + 46.8988i) q^{47} +(489.785 - 424.401i) q^{48} +(271.406 + 209.733i) q^{49} +(-65.0247 + 452.257i) q^{50} +(-22.5282 - 235.926i) q^{51} +(173.901 - 434.384i) q^{52} +(130.099 + 136.444i) q^{53} +(-246.829 + 478.781i) q^{54} +(58.2988 - 26.6242i) q^{55} +(147.765 - 36.5118i) q^{56} +(872.558 + 756.076i) q^{57} +(-32.1408 - 6.19464i) q^{58} +(-786.235 - 190.739i) q^{59} +(-6.47221 + 67.7801i) q^{60} +(-586.902 - 302.569i) q^{61} +(211.991 - 721.975i) q^{62} +(-664.691 + 477.587i) q^{63} +(-83.2211 + 182.229i) q^{64} +(-41.9094 - 104.685i) q^{65} +(-1279.77 + 659.769i) q^{66} +(-26.6200 - 138.118i) q^{67} +(81.2678 + 140.760i) q^{68} +(756.377 + 542.316i) q^{69} +(-51.5032 + 80.8931i) q^{70} +(-53.1880 - 61.3823i) q^{71} +(-17.2820 + 362.793i) q^{72} +(473.277 - 601.820i) q^{73} +(-350.405 + 249.522i) q^{74} +(-641.831 - 816.155i) q^{75} +(-759.730 - 223.077i) q^{76} +(-851.150 + 3.61107i) q^{77} +(1052.36 + 2304.34i) q^{78} +(-384.137 + 402.871i) q^{79} +(35.0329 + 101.221i) q^{80} +(-10.0888 - 29.1497i) q^{81} +(-1008.05 + 1057.21i) q^{82} +(-352.844 - 772.621i) q^{83} +(448.800 - 785.016i) q^{84} +(37.5837 + 11.0356i) q^{85} +(-911.467 - 1159.02i) q^{86} +(60.5900 - 43.1459i) q^{87} +(-233.483 + 296.898i) q^{88} +(-51.3400 + 1077.76i) q^{89} +(-149.854 - 172.940i) q^{90} +(-64.9090 + 1496.13i) q^{91} +(-626.354 - 122.826i) q^{92} +(854.953 + 1480.82i) q^{93} +(65.9112 + 341.980i) q^{94} +(-169.609 + 87.4393i) q^{95} +(-688.162 - 1718.94i) q^{96} +(522.129 - 1143.30i) q^{97} +(1065.51 - 697.609i) q^{98} +(572.215 - 1948.79i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 920 q - 11 q^{2} - 27 q^{3} + 157 q^{4} - 33 q^{5} - 22 q^{7} - 104 q^{8} - 359 q^{9} - 33 q^{10} - 11 q^{11} - 75 q^{12} - 22 q^{14} - 44 q^{15} + 1157 q^{16} - 33 q^{17} + 179 q^{18} - 33 q^{19} - 1342 q^{21}+ \cdots + 23056 q^{99}+O(q^{100}) $ 920 * q - 11 * q^2 - 27 * q^3 + 157 * q^4 - 33 * q^5 - 22 * q^7 - 104 * q^8 - 359 * q^9 - 33 * q^10 - 11 * q^11 - 75 * q^12 - 22 * q^14 - 44 * q^15 + 1157 * q^16 - 33 * q^17 + 179 * q^18 - 33 * q^19 - 1342 * q^21 - 494 * q^23 - 570 * q^24 + 1269 * q^25 - 609 * q^26 + 682 * q^28 - 348 * q^29 + 1485 * q^30 + 105 * q^31 - 1017 * q^32 - 33 * q^33 + 966 * q^35 + 4354 * q^36 - 1199 * q^37 - 33 * q^38 + 5 * q^39 - 33 * q^40 - 3652 * q^42 - 3476 * q^43 + 3388 * q^44 + 477 * q^46 - 1188 * q^47 - 1408 * q^49 - 3234 * q^50 + 649 * q^51 + 1911 * q^52 - 11 * q^53 - 1659 * q^54 + 9361 * q^56 + 7612 * q^57 - 4198 * q^58 - 915 * q^59 - 11 * q^60 - 33 * q^61 - 2112 * q^63 - 5064 * q^64 - 4323 * q^65 + 858 * q^66 - 11 * q^67 - 2478 * q^70 + 1732 * q^71 - 9181 * q^72 - 3987 * q^73 + 2354 * q^74 + 2871 * q^75 + 2164 * q^77 - 24268 * q^78 + 1837 * q^79 + 12144 * q^80 + 3035 * q^81 + 5823 * q^82 + 11330 * q^84 + 13676 * q^85 + 5225 * q^86 - 24657 * q^87 - 12342 * q^88 - 33 * q^89 + 9810 * q^92 - 1440 * q^93 - 15858 * q^94 - 4187 * q^95 + 2439 * q^96 - 11284 * q^98 + 23056 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/161\mathbb{Z}\right)^\times$.

$n$	$24$	$120$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{3}{22}\right)$

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 $

$2$	1.21441	−	3.50881i	0.429360	−	1.24055i	−0.498260	−	0.867028i	$-0.666028\pi$
$2$	1.21441	−	3.50881i	0.429360	−	1.24055i	0.927620	−	0.373526i	$-0.121851\pi$
$3$	3.86635	+	7.49966i	0.744079	+	1.44331i	0.890924	+	0.454152i	$0.150058\pi$
$3$	3.86635	+	7.49966i	0.744079	+	1.44331i	−0.146846	+	0.989159i	$0.546912\pi$
$4$	−4.54856	−	3.57703i	−0.568570	−	0.447128i
$5$	−1.38822	+	0.132559i	−0.124167	+	0.0118565i	−0.156954	−	0.987606i	$-0.550168\pi$
$5$	−1.38822	+	0.132559i	−0.124167	+	0.0118565i	0.0327877	+	0.999462i	$0.489561\pi$
$6$	31.0103	−	4.45860i	2.10998	−	0.303370i
$7$	17.5272	+	5.98308i	0.946380	+	0.323056i
$7$	17.5272	+	5.98308i	0.946380	+	0.323056i
$8$	6.91384	−	4.44325i	0.305551	−	0.196366i
$9$	−25.6348	+	35.9990i	−0.949437	+	1.33330i
$10$	−1.22075	+	5.03200i	−0.0386035	+	0.159126i
$11$	−43.4305	+	15.0315i	−1.19044	+	0.412014i	−0.849255	−	0.527983i	$-0.822948\pi$
$11$	−43.4305	+	15.0315i	−1.19044	+	0.412014i	−0.341182	+	0.939997i	$0.610827\pi$
$12$	9.24019	−	47.9427i	0.222285	−	1.15332i
$13$	22.7808	+	77.5842i	0.486019	+	1.65523i	0.728479	+	0.685068i	$0.240228\pi$
$13$	22.7808	+	77.5842i	0.486019	+	1.65523i	−0.242460	+	0.970162i	$0.577954\pi$
$14$	42.2788	−	54.2338i	0.807105	−	1.03533i
$15$	−6.36151	−	9.89870i	−0.109502	−	0.170389i
$16$	−18.1082	−	74.6430i	−0.282941	−	1.16630i
$17$	−26.0763	−	10.4394i	−0.372026	−	0.148937i	0.178113	−	0.984010i	$-0.443001\pi$
$17$	−26.0763	−	10.4394i	−0.372026	−	0.148937i	−0.550139	+	0.835073i	$0.685425\pi$
$18$	95.1827	+	133.665i	1.24638	+	1.75029i
$19$	127.033	−	50.8563i	1.53386	−	0.614065i	0.557492	−	0.830182i	$-0.311764\pi$
$19$	127.033	−	50.8563i	1.53386	−	0.614065i	0.976367	+	0.216118i	$0.0693395\pi$
$20$	6.78859	+	4.36276i	0.0758987	+	0.0487772i
$21$	22.8951	+	154.581i	0.237911	+	1.60630i
$22$			170.644i			1.65370i
$23$	98.2055	−	50.2263i	0.890316	−	0.455344i
$23$	98.2055	−	50.2263i	0.890316	−	0.455344i
$24$	60.0542	+	34.6723i	0.510771	+	0.294894i
$25$	−120.831	+	23.2884i	−0.966652	+	0.186307i
$26$	299.894	+	14.2857i	2.26208	+	0.107756i
$27$	−143.596	−	20.6461i	−1.02352	−	0.147161i
$28$	−58.3219	−	89.9096i	−0.393636	−	0.606833i
$29$	−1.25458	−	8.72581i	−0.00803345	−	0.0558739i	0.985410	−	0.170195i	$-0.0544398\pi$
$29$	−1.25458	−	8.72581i	−0.00803345	−	0.0558739i	−0.993444	+	0.114321i	$0.963531\pi$
$30$	−42.4582	+	10.3002i	−0.258392	+	0.0626853i
$31$	202.423	−	9.64259i	1.17278	−	0.0558665i	0.547871	−	0.836563i	$-0.315438\pi$
$31$	202.423	−	9.64259i	1.17278	−	0.0558665i	0.624911	+	0.780696i	$0.285135\pi$
$32$	−218.449	−	20.8594i	−1.20677	−	0.115233i
$33$	−280.648	−	267.598i	−1.48044	−	1.41160i
$34$	−68.2973	+	78.8193i	−0.344497	+	0.397571i
$35$	−25.1248	−	5.98246i	−0.121339	−	0.0288920i
$36$	245.371	−	72.0474i	1.13598	−	0.333553i
$37$	−94.3718	−	67.2019i	−0.419314	−	0.298592i	0.350857	−	0.936429i	$-0.385890\pi$
$37$	−94.3718	−	67.2019i	−0.419314	−	0.298592i	−0.770172	+	0.637836i	$0.779830\pi$
$38$	−24.1750	−	507.495i	−0.103203	−	2.16649i
$39$	−493.777	+	470.816i	−2.02737	+	1.93310i
$40$	−9.00896	+	7.08473i	−0.0356111	+	0.0280048i
$41$	−357.866	−	163.432i	−1.36315	−	0.622531i	−0.406470	−	0.913664i	$-0.633240\pi$
$41$	−357.866	−	163.432i	−1.36315	−	0.622531i	−0.956683	+	0.291133i	$0.905968\pi$
$42$	570.199	+	107.390i	2.09485	+	0.394539i
$43$	214.695	−	334.072i	0.761410	−	1.18478i	−0.216608	−	0.976259i	$-0.569499\pi$
$43$	214.695	−	334.072i	0.761410	−	1.18478i	0.978018	−	0.208519i	$-0.0668642\pi$
$44$	251.314	+	86.9807i	0.861069	+	0.298019i
$45$	30.8148	−	53.3729i	0.102080	−	0.176808i
$46$	−56.9728	−	405.580i	−0.182613	−	1.29999i
$47$	−81.2312	+	46.8988i	−0.252102	+	0.145551i	−0.620726	−	0.784027i	$-0.713162\pi$
$47$	−81.2312	+	46.8988i	−0.252102	+	0.145551i	0.368624	+	0.929578i	$0.379829\pi$
$48$	489.785	−	424.401i	1.47280	−	1.27619i
$49$	271.406	+	209.733i	0.791270	+	0.611467i
$50$	−65.0247	+	452.257i	−0.183918	+	1.27918i
$51$	−22.5282	−	235.926i	−0.0618545	−	0.647770i
$52$	173.901	−	434.384i	0.463764	−	1.15843i
$53$	130.099	+	136.444i	0.337179	+	0.353623i	0.870393	−	0.492357i	$-0.163865\pi$
$53$	130.099	+	136.444i	0.337179	+	0.353623i	−0.533215	+	0.845980i	$0.679016\pi$
$54$	−246.829	+	478.781i	−0.622021	+	1.20655i
$55$	58.2988	−	26.6242i	0.142927	−	0.0652727i
$56$	147.765	−	36.5118i	0.352605	−	0.0871266i
$57$	872.558	+	756.076i	2.02760	+	1.75692i
$58$	−32.1408	−	6.19464i	−0.0727637	−	0.0140241i
$59$	−786.235	−	190.739i	−1.73490	−	0.420882i	−0.761164	−	0.648560i	$-0.775372\pi$
$59$	−786.235	−	190.739i	−1.73490	−	0.420882i	−0.973737	+	0.227678i	$0.926887\pi$
$60$	−6.47221	+	67.7801i	−0.0139260	+	0.145840i
$61$	−586.902	−	302.569i	−1.23189	−	0.635082i	−0.285581	−	0.958354i	$-0.592187\pi$
$61$	−586.902	−	302.569i	−1.23189	−	0.635082i	−0.946306	+	0.323272i	$0.895217\pi$
$62$	211.991	−	721.975i	0.434240	−	1.47889i
$63$	−664.691	+	477.587i	−1.32926	+	0.955085i
$64$	−83.2211	+	182.229i	−0.162541	+	0.355915i
$65$	−41.9094	−	104.685i	−0.0799725	−	0.199762i
$66$	−1279.77	+	659.769i	−2.38681	+	1.23048i
$67$	−26.6200	−	138.118i	−0.0485396	−	0.251847i	0.949551	−	0.313612i	$-0.101539\pi$
$67$	−26.6200	−	138.118i	−0.0485396	−	0.251847i	−0.998091	+	0.0617650i	$0.980327\pi$
$68$	81.2678	+	140.760i	0.144929	+	0.251024i
$69$	756.377	+	542.316i	1.31967	+	0.946191i
$70$	−51.5032	+	80.8931i	−0.0879402	+	0.138123i
$71$	−53.1880	−	61.3823i	−0.0889051	−	0.102602i	0.709554	−	0.704651i	$-0.248897\pi$
$71$	−53.1880	−	61.3823i	−0.0889051	−	0.102602i	−0.798459	+	0.602049i	$0.794351\pi$
$72$	−17.2820	+	362.793i	−0.0282875	+	0.593828i
$73$	473.277	−	601.820i	0.758806	−	0.964900i	−0.241178	−	0.970481i	$-0.577534\pi$
$73$	473.277	−	601.820i	0.758806	−	0.964900i	0.999984	+	0.00558033i	$0.00177628\pi$
$74$	−350.405	+	249.522i	−0.550457	+	0.391978i
$75$	−641.831	−	816.155i	−0.988164	−	1.25655i
$76$	−759.730	−	223.077i	−1.14667	−	0.336693i
$77$	−851.150	+	3.61107i	−1.25971	+	0.00534441i
$78$	1052.36	+	2304.34i	1.52764	+	3.34506i
$79$	−384.137	+	402.871i	−0.547073	+	0.573754i	−0.937986	−	0.346674i	$-0.887311\pi$
$79$	−384.137	+	402.871i	−0.547073	+	0.573754i	0.390913	+	0.920428i	$0.372159\pi$
$80$	35.0329	+	101.221i	0.0489600	+	0.141460i
$81$	−10.0888	−	29.1497i	−0.0138392	−	0.0399859i
$82$	−1008.05	+	1057.21i	−1.35757	+	1.42377i
$83$	−352.844	−	772.621i	−0.466622	−	1.02176i	−0.985928	−	0.167172i	$-0.946537\pi$
$83$	−352.844	−	772.621i	−0.466622	−	1.02176i	0.519305	−	0.854589i	$-0.326191\pi$
$84$	448.800	−	785.016i	0.582953	−	1.01967i
$85$	37.5837	+	11.0356i	0.0479591	+	0.0140820i
$86$	−911.467	−	1159.02i	−1.14286	−	1.45327i
$87$	60.5900	−	43.1459i	0.0746658	−	0.0531693i
$88$	−233.483	+	296.898i	−0.282834	+	0.359652i
$89$	−51.3400	+	1077.76i	−0.0611464	+	1.28362i	0.734813	+	0.678270i	$0.237270\pi$
$89$	−51.3400	+	1077.76i	−0.0611464	+	1.28362i	−0.795959	+	0.605350i	$0.793033\pi$
$90$	−149.854	−	172.940i	−0.175511	−	0.202550i
$91$	−64.9090	+	1496.13i	−0.0747727	+	1.72349i
$92$	−626.354	−	122.826i	−0.709804	−	0.139191i
$93$	854.953	+	1480.82i	0.953274	+	1.65112i
$94$	65.9112	+	341.980i	0.0723215	+	0.375239i
$95$	−169.609	+	87.4393i	−0.183173	+	0.0944325i
$96$	−688.162	−	1718.94i	−0.731617	−	1.82749i
$97$	522.129	−	1143.30i	0.546538	−	1.19675i	−0.411842	−	0.911255i	$-0.635114\pi$
$97$	522.129	−	1143.30i	0.546538	−	1.19675i	0.958380	−	0.285496i	$-0.0921584\pi$
$98$	1065.51	−	697.609i	1.09830	−	0.719073i
$99$	572.215	−	1948.79i	0.580907	−	1.97839i
$100$	632.912	+	326.289i	0.632912	+	0.326289i
$101$	−2.41912	+	25.3341i	−0.00238328	+	0.0249588i	−0.996585	−	0.0825692i	$-0.973687\pi$
$101$	−2.41912	+	25.3341i	−0.00238328	+	0.0249588i	0.994202	+	0.107528i	$0.0342935\pi$
$102$	−855.179	−	207.464i	−0.830151	−	0.201392i
$103$	1539.34	+	296.683i	1.47258	+	0.283816i	0.861501	−	0.507756i	$-0.169525\pi$
$103$	1539.34	+	296.683i	1.47258	+	0.283816i	0.611076	+	0.791572i	$0.290737\pi$
$104$	502.229	+	435.184i	0.473535	+	0.410320i
$105$	−52.2747	−	211.558i	−0.0485856	−	0.196628i
$106$	636.750	−	290.794i	0.583459	−	0.266457i
$107$	88.3311	−	171.338i	0.0798065	−	0.154803i	−0.845556	−	0.533887i	$-0.820731\pi$
$107$	88.3311	−	171.338i	0.0798065	−	0.154803i	0.925362	+	0.379084i	$0.123761\pi$
$108$	579.305	+	607.558i	0.516145	+	0.541318i
$109$	426.485	−	1065.31i	0.374769	−	0.936127i	−0.614353	−	0.789031i	$-0.710583\pi$
$109$	426.485	−	1065.31i	0.374769	−	0.936127i	0.989122	−	0.147096i	$-0.0469927\pi$
$110$	−22.6205	−	236.892i	−0.0196071	−	0.205335i
$111$	139.117	−	967.583i	0.118959	−	0.827377i
$112$	129.209	−	1416.63i	0.109010	−	1.19517i
$113$	659.925	−	571.828i	0.549385	−	0.476045i	−0.335379	−	0.942083i	$-0.608865\pi$
$113$	659.925	−	571.828i	0.549385	−	0.476045i	0.884765	+	0.466038i	$0.154319\pi$
$114$	3712.57	−	2143.46i	3.05013	−	1.76099i
$115$	−129.673	+	82.7434i	−0.105149	+	0.0670945i
$116$	−25.5059	+	44.1775i	−0.0204152	+	0.0353602i
$117$	−3376.94	−	1168.77i	−2.66836	−	0.923528i
$118$	−1624.08	+	2527.12i	−1.26702	+	1.97153i
$119$	−394.586	−	338.990i	−0.303963	−	0.261136i
$120$	−87.9648	−	40.1722i	−0.0669171	−	0.0305600i
$121$	614.030	−	482.879i	0.461330	−	0.362794i
$122$	−1774.40	+	1691.89i	−1.31678	+	1.25554i
$123$	−157.949	−	3315.76i	−0.115787	−	2.43066i
$124$	−955.224	−	680.212i	−0.691788	−	0.492620i
$125$	331.910	−	97.4577i	0.237496	−	0.0697351i
$126$	868.556	+	2912.27i	0.614104	+	2.05909i
$127$	−901.205	+	1040.05i	−0.629677	+	0.726686i	−0.977514	−	0.210869i	$-0.932371\pi$
$127$	−901.205	+	1040.05i	−0.629677	+	0.726686i	0.347837	+	0.937555i	$0.386916\pi$
$128$	−732.204	−	698.155i	−0.505612	−	0.482100i
$129$	3335.51	+	318.502i	2.27655	+	0.217384i
$130$	−418.214	+	19.9220i	−0.282152	+	0.0134406i
$131$	−92.9124	+	22.5403i	−0.0619679	+	0.0150332i	−0.266623	−	0.963801i	$-0.585908\pi$
$131$	−92.9124	+	22.5403i	−0.0619679	+	0.0150332i	0.204655	+	0.978834i	$0.434393\pi$
$132$	319.342	+	2221.07i	0.210569	+	1.46454i
$133$	2530.81	−	131.321i	1.64999	−	0.0856163i
$134$	−516.957	−	74.3272i	−0.333271	−	0.0479171i
$135$	202.081	+	9.62630i	0.128832	+	0.00613704i
$136$	−226.672	+	43.6875i	−0.142919	+	0.0275454i
$137$	96.9301	+	55.9626i	0.0604474	+	0.0348993i	0.529919	−	0.848048i	$-0.322222\pi$
$137$	96.9301	+	55.9626i	0.0604474	+	0.0348993i	−0.469472	+	0.882948i	$0.655556\pi$
$138$	2821.44	−	1995.39i	1.74041	−	1.23086i
$139$			1510.02i			0.921426i	0.887549	+	0.460713i	$0.152406\pi$
$139$			1510.02i			0.921426i	−0.887549	+	0.460713i	$0.847594\pi$
$140$	92.8822	+	117.084i	0.0560713	+	0.0706812i
$141$	−665.793	−	427.879i	−0.397659	−	0.255560i
$142$	−279.971	+	112.084i	−0.165455	+	0.0662383i
$143$	−2155.58	−	3027.10i	−1.26055	−	1.77020i
$144$	3151.28	+	1261.58i	1.82366	+	0.730082i
$145$	2.89833	+	11.9471i	0.00165995	+	0.00684242i
$146$	−1536.92	−	2391.50i	−0.871210	−	1.35563i
$147$	−523.581	+	2846.35i	−0.293770	+	1.59703i
$148$	188.873	+	643.242i	0.104900	+	0.357258i
$149$	90.8458	−	471.353i	0.0499489	−	0.259159i	−0.948367	−	0.317176i	$-0.897265\pi$
$149$	90.8458	−	471.353i	0.0499489	−	0.259159i	0.998316	+	0.0580165i	$0.0184776\pi$
$150$	−3643.18	+	1260.92i	−1.98310	+	0.686357i
$151$	−162.060	+	668.018i	−0.0873392	+	0.360017i	−0.998664	−	0.0516707i	$-0.983545\pi$
$151$	−162.060	+	668.018i	−0.0873392	+	0.360017i	0.911325	+	0.411688i	$0.135061\pi$
$152$	652.317	−	916.051i	0.348091	−	0.488826i
$153$	1044.27	−	671.111i	0.551792	−	0.354615i
$154$	−1020.98	+	2990.91i	−0.534238	+	1.56503i
$155$	−279.730	+	40.2191i	−0.144958	+	0.0208418i
$156$	3930.09	−	375.278i	2.01705	−	0.192605i
$157$	902.226	+	709.518i	0.458634	+	0.360673i	0.820586	−	0.571523i	$-0.193647\pi$
$157$	902.226	+	709.518i	0.458634	+	0.360673i	−0.361952	+	0.932197i	$0.617890\pi$
$158$	947.099	+	1837.12i	0.476881	+	0.925020i
$159$	−520.276	+	1503.24i	−0.259500	+	0.749777i
$160$	306.022			0.151207
$161$	2021.78	−	292.755i	0.989678	−	0.143307i
$162$	−114.533			−0.0555466
$163$	−547.220	+	1581.09i	−0.262954	+	0.759756i	0.733808	+	0.679356i	$0.237741\pi$
$163$	−547.220	+	1581.09i	−0.262954	+	0.759756i	−0.996763	+	0.0804000i	$0.974380\pi$
$164$	1043.17	+	2023.47i	0.496696	+	0.963456i
$165$	425.075	+	334.283i	0.200558	+	0.157721i
$166$	−3139.48	+	299.784i	−1.46790	+	0.140167i
$167$	831.706	−	119.581i	0.385385	−	0.0554101i	0.0531007	−	0.998589i	$-0.483090\pi$
$167$	831.706	−	119.581i	0.385385	−	0.0554101i	0.332285	+	0.943179i	$0.392180\pi$
$168$	845.135	+	967.017i	0.388116	+	0.444089i
$169$	−3652.11	+	2347.07i	−1.66232	+	1.06831i
$170$	84.3638	−	118.472i	0.0380612	−	0.0534495i
$171$	−1425.68	+	5876.75i	−0.637572	+	2.62811i
$172$	−2171.53	+	751.575i	−0.962662	+	0.333181i
$173$	332.358	−	1724.43i	0.146062	−	0.757840i	−0.832841	−	0.553513i	$-0.813287\pi$
$173$	332.358	−	1724.43i	0.146062	−	0.757840i	0.978903	−	0.204328i	$-0.0655008\pi$
$174$	−77.8098	−	264.996i	−0.0339009	−	0.115456i
$175$	−2257.17	−	314.764i	−0.975007	−	0.135965i
$176$	1908.44	+	2969.59i	0.817354	+	1.27183i
$177$	−1609.38	−	6633.96i	−0.683438	−	2.81717i
$178$	3719.31	+	1488.99i	1.56615	+	0.626990i
$179$	897.198	+	1259.94i	0.374635	+	0.526102i	0.958251	−	0.285928i	$-0.0923020\pi$
$179$	897.198	+	1259.94i	0.374635	+	0.526102i	−0.583616	+	0.812030i	$0.698363\pi$
$180$	−331.079	+	132.544i	−0.137096	+	0.0548848i
$181$	−964.614	−	619.920i	−0.396128	−	0.254576i	0.327379	−	0.944893i	$-0.393835\pi$
$181$	−964.614	−	619.920i	−0.396128	−	0.254576i	−0.723507	+	0.690317i	$0.757471\pi$
$182$	5170.83	+	2044.68i	2.10597	+	0.832756i
$183$		−	5571.41i		−	2.25055i
$184$	455.809	−	783.608i	0.182623	−	0.313959i
$185$	139.918	+	80.7814i	0.0556051	+	0.0321036i
$186$	6234.20	−	1201.54i	2.45760	−	0.473663i
$187$	1289.43	+	61.4231i	0.504237	+	0.0240198i
$188$	537.243	+	77.2439i	0.208417	+	0.0299659i
$189$	−2393.32	−	1221.02i	−0.921102	−	0.469925i
$190$	100.834	+	701.313i	0.0385012	+	0.267782i
$191$	−1486.95	+	360.729i	−0.563307	+	0.136657i	−0.507294	−	0.861773i	$-0.669354\pi$
$191$	−1486.95	+	360.729i	−0.563307	+	0.136657i	−0.0560131	+	0.998430i	$0.517839\pi$
$192$	−1688.42	+	80.4292i	−0.634640	+	0.0302316i
$193$	−2775.58	−	265.036i	−1.03518	−	0.0988481i	−0.436395	−	0.899755i	$-0.643745\pi$
$193$	−2775.58	−	265.036i	−1.03518	−	0.0988481i	−0.598789	+	0.800907i	$0.704351\pi$
$194$	−3377.56	−	3220.50i	−1.24997	−	1.19185i
$195$	623.063	−	719.053i	0.228812	−	0.264064i
$196$	−484.283	−	1924.81i	−0.176488	−	0.701461i
$197$	1352.13	−	397.021i	0.489012	−	0.143587i	−0.0279257	−	0.999610i	$-0.508890\pi$
$197$	1352.13	−	397.021i	0.489012	−	0.143587i	0.516937	+	0.856023i	$0.327072\pi$
$198$	−6143.02	−	4374.43i	−2.20488	−	1.57009i
$199$	152.520	+	3201.78i	0.0543308	+	1.14054i	0.847242	+	0.531207i	$0.178261\pi$
$199$	152.520	+	3201.78i	0.0543308	+	1.14054i	−0.792911	+	0.609337i	$0.791435\pi$
$200$	−731.933	+	697.897i	−0.258777	+	0.246744i
$201$	932.914	−	733.652i	0.327377	−	0.257452i
$202$	85.9550	+	39.2543i	0.0299395	+	0.0136729i
$203$	30.2179	−	160.445i	0.0104477	−	0.0554731i
$204$	−741.443	+	1153.71i	−0.254468	+	0.395959i
$205$	518.463	+	179.442i	0.176639	+	0.0611354i
$206$	2910.40	−	5040.95i	0.984354	−	1.70495i
$207$	−709.380	+	4822.84i	−0.238190	+	1.61938i
$208$	5378.60	−	3105.34i	1.79298	−	1.03517i
$209$	−4752.66	+	4118.20i	−1.57296	+	1.36298i
$210$	−805.800	−	73.4962i	−0.264788	−	0.0241510i
$211$	398.425	−	2771.10i	0.129994	−	0.904127i	−0.815563	−	0.578669i	$-0.803572\pi$
$211$	398.425	−	2771.10i	0.129994	−	0.904127i	0.945557	−	0.325458i	$-0.105518\pi$
$212$	−103.700	−	1085.99i	−0.0335949	−	0.351821i
$213$	254.703	−	636.217i	0.0819341	−	0.204662i
$214$	−493.924	−	518.013i	−0.157776	−	0.165470i
$215$	−253.760	+	492.226i	−0.0804944	+	0.156137i
$216$	−1084.54	+	495.292i	−0.341636	+	0.156020i
$217$	3605.60	+	1042.10i	1.12794	+	0.326003i
$218$	−3220.04	−	2790.18i	−1.00041	−	0.866856i
$219$	6343.30	+	1222.57i	1.95726	+	0.377231i
$220$	−360.411	−	87.4347i	−0.110449	−	0.0267948i
$221$	215.893	−	2260.93i	0.0657127	−	0.688175i
$222$	−3226.12	−	1663.18i	−0.975330	−	0.502817i
$223$	−333.618	+	1136.20i	−0.100183	+	0.341190i	−0.994297	−	0.106649i	$-0.965988\pi$
$223$	−333.618	+	1136.20i	−0.100183	+	0.341190i	0.894114	+	0.447839i	$0.147806\pi$
$224$	−3704.00	−	1672.60i	−1.10484	−	0.498909i
$225$	2259.13	−	4946.81i	0.669372	−	1.46572i
$226$	−1205.02	−	3009.99i	−0.354675	−	0.885936i
$227$	2241.20	−	1155.42i	0.655302	−	0.337832i	−0.0983055	−	0.995156i	$-0.531342\pi$
$227$	2241.20	−	1155.42i	0.655302	−	0.337832i	0.753608	+	0.657325i	$0.228312\pi$
$228$	−1264.38	−	6560.22i	−0.367261	−	1.90553i
$229$	438.553	+	759.596i	0.126552	+	0.219194i	0.922338	−	0.386383i	$-0.126276\pi$
$229$	438.553	+	759.596i	0.126552	+	0.219194i	−0.795787	+	0.605577i	$0.792942\pi$
$230$	132.855	+	555.484i	0.0380877	+	0.159250i
$231$	−3317.92	−	6369.38i	−0.945036	−	1.81417i
$232$	−47.4449	−	54.7544i	−0.0134264	−	0.0154948i
$233$	−37.5873	+	789.055i	−0.0105684	+	0.221857i	0.987404	+	0.158216i	$0.0505743\pi$
$233$	−37.5873	+	789.055i	−0.0105684	+	0.221857i	−0.997973	+	0.0636410i	$0.979729\pi$
$234$	−8201.99	+	10429.7i	−2.29137	+	2.91372i
$235$	106.550	−	75.8741i	0.0295769	−	0.0210616i
$236$	2893.96	+	3679.97i	0.798224	+	1.01502i
$237$	−4506.60	−	1323.26i	−1.23517	−	0.362679i
$238$	−1668.64	+	972.854i	−0.454462	+	0.264961i
$239$	1578.71	+	3456.89i	0.427273	+	0.935597i	0.993761	+	0.111528i	$0.0355744\pi$
$239$	1578.71	+	3456.89i	0.427273	+	0.935597i	−0.566488	+	0.824070i	$0.691698\pi$
$240$	−623.673	+	654.090i	−0.167741	+	0.175922i
$241$	1028.47	+	2971.57i	0.274895	+	0.794256i	0.994953	+	0.100343i	$0.0319939\pi$
$241$	1028.47	+	2971.57i	0.274895	+	0.794256i	−0.720058	+	0.693914i	$0.755885\pi$
$242$	−948.646	−	2740.93i	−0.251989	−	0.728073i
$243$	−2523.42	+	2646.48i	−0.666161	+	0.698650i
$244$	1587.26	+	3475.62i	0.416451	+	0.911900i
$245$	−404.574	−	255.179i	−0.105499	−	0.0665421i
$246$	−11826.2	−	3472.48i	−3.06508	−	0.899990i
$247$	6839.55	+	8697.20i	1.76190	+	2.24044i
$248$	1356.67	−	966.084i	0.347375	−	0.247364i
$249$	4430.18	−	5633.43i	1.12751	−	1.43375i
$250$	61.1152	−	1282.97i	0.0154611	−	0.324568i
$251$	−125.357	−	144.669i	−0.0315236	−	0.0363802i	0.739769	−	0.672861i	$-0.234935\pi$
$251$	−125.357	−	144.669i	−0.0315236	−	0.0363802i	−0.771292	+	0.636481i	$0.780389\pi$
$252$	4731.73	+	205.284i	1.18282	+	0.0513161i
$253$	−3510.14	+	3657.53i	−0.872256	+	0.908880i
$254$	2554.89	+	4425.21i	0.631135	+	1.09316i
$255$	62.5484	+	324.532i	0.0153605	+	0.0796980i
$256$	−4763.39	+	2455.70i	−1.16294	+	0.599536i
$257$	1744.04	+	4356.40i	0.423308	+	1.05737i	0.974778	+	0.223177i	$0.0716429\pi$
$257$	1744.04	+	4356.40i	0.423308	+	1.05737i	−0.551470	+	0.834195i	$0.685933\pi$
$258$	5168.25	−	11316.9i	1.24714	−	2.73085i
$259$	−1252.00	−	1742.49i	−0.300369	−	0.418044i
$260$	−183.832	+	626.074i	−0.0438492	+	0.149336i
$261$	346.282	+	178.521i	0.0821237	+	0.0423377i
$262$	−33.7442	+	353.386i	−0.00795697	+	0.0833291i
$263$	−967.376	−	234.683i	−0.226810	−	0.0550234i	0.120743	−	0.992684i	$-0.461472\pi$
$263$	−967.376	−	234.683i	−0.226810	−	0.0550234i	−0.347553	+	0.937660i	$0.612987\pi$
$264$	−3129.36	−	603.135i	−0.729541	−	0.140608i
$265$	−198.694	−	172.169i	−0.0460590	−	0.0399104i
$266$	2612.66	−	9039.61i	0.602228	−	2.08366i
$267$	−8281.33	+	3781.96i	−1.89816	+	0.866861i
$268$	−372.968	+	723.457i	−0.0850099	+	0.164896i
$269$	1081.79	+	1134.54i	0.245196	+	0.257154i	0.834819	−	0.550525i	$-0.185572\pi$
$269$	1081.79	+	1134.54i	0.245196	+	0.257154i	−0.589623	+	0.807678i	$0.700724\pi$
$270$	279.187	−	697.374i	0.0629287	−	0.157188i
$271$	−413.624	−	4331.66i	−0.0927153	−	0.970958i	−0.915423	−	0.402493i	$-0.868144\pi$
$271$	−413.624	−	4331.66i	−0.0927153	−	0.970958i	0.822708	−	0.568465i	$-0.192462\pi$
$272$	−307.032	+	2135.46i	−0.0684432	+	0.476033i
$273$	−11471.5	+	5297.77i	−2.54317	+	1.17449i
$274$	314.075	−	272.148i	0.0692481	−	0.0600039i
$275$	4897.72	−	2827.70i	1.07398	−	0.620061i
$276$	−1500.55	−	5172.34i	−0.327254	−	1.12804i
$277$	−3844.72	+	6659.26i	−0.833961	+	1.44446i	0.0609130	+	0.998143i	$0.480599\pi$
$277$	−3844.72	+	6659.26i	−0.833961	+	1.44446i	−0.894874	+	0.446319i	$0.852735\pi$
$278$	5298.38	+	1833.79i	1.14308	+	0.395623i
$279$	−4841.95	+	7534.22i	−1.03900	+	1.61671i
$280$	−200.290	+	70.2741i	−0.0427487	+	0.0149989i
$281$	7233.34	+	3303.36i	1.53561	+	0.701287i	0.990555	−	0.137116i	$-0.0437833\pi$
$281$	7233.34	+	3303.36i	1.53561	+	0.701287i	0.545050	+	0.838403i	$0.316511\pi$
$282$	−2309.90	+	1816.52i	−0.487774	+	0.383590i
$283$	366.759	−	349.704i	0.0770372	−	0.0734549i	−0.650582	−	0.759436i	$-0.725475\pi$
$283$	366.759	−	349.704i	0.0770372	−	0.0734549i	0.727620	+	0.685981i	$0.240627\pi$
$284$	22.3629	+	469.456i	0.00467252	+	0.0980883i
$285$	−1311.53	−	933.937i	−0.272591	−	0.194111i
$286$	−13239.3	+	3887.41i	−2.73726	+	0.803731i
$287$	−5294.56	−	5005.64i	−1.08895	−	1.02953i
$288$	6350.82	−	7329.23i	1.29939	−	1.49958i
$289$	−2984.71	−	2845.92i	−0.607513	−	0.579262i
$290$	45.4398	+	4.33898i	0.00920110	+	0.000878599i
$291$	10593.1	−	504.613i	2.13395	−	0.101653i
$292$	−4305.45	+	1044.49i	−0.862869	+	0.209330i
$293$	−366.096	−	2546.25i	−0.0729950	−	0.507691i	−0.993215	−	0.116290i	$-0.962900\pi$
$293$	−366.096	−	2546.25i	−0.0729950	−	0.507691i	0.920220	−	0.391401i	$-0.128009\pi$
$294$	9351.48	+	5293.79i	1.85507	+	1.05014i
$295$	1116.76	+	160.565i	0.220407	+	0.0316897i
$296$	−951.066	−	45.3049i	−0.186755	−	0.00889626i
$297$	6546.81	−	1261.79i	1.27907	−	0.246521i
$298$	−1543.57	−	891.178i	−0.300055	−	0.173237i
$299$	6133.97	+	6475.00i	1.18641	+	1.25237i
$300$			6008.17i			1.15627i
$301$	5761.77	−	4570.80i	1.10333	−	0.875272i
$302$	2147.15	+	1379.89i	0.409120	+	0.262926i
$303$	−199.351	+	79.8079i	−0.0377967	+	0.0151315i
$304$	−6096.40	−	8561.20i	−1.15017	−	1.61519i
$305$	854.861	+	342.235i	0.160489	+	0.0642501i
$306$	−1086.63	−	4479.15i	−0.203002	−	0.836785i
$307$	−866.147	−	1347.75i	−0.161021	−	0.250554i	0.751363	−	0.659890i	$-0.229397\pi$
$307$	−866.147	−	1347.75i	−0.161021	−	0.250554i	−0.912384	+	0.409335i	$0.865761\pi$
$308$	3884.42	+	3028.16i	0.718622	+	0.560213i
$309$	3726.59	+	12691.6i	0.686078	+	2.33657i
$310$	−198.586	+	1030.36i	−0.0363837	+	0.188777i
$311$	9852.44	−	3409.96i	1.79640	−	0.621740i	0.796547	−	0.604576i	$-0.206658\pi$
$311$	9852.44	−	3409.96i	1.79640	−	0.621740i	0.999853	−	0.0171636i	$-0.00546361\pi$
$312$	−1321.94	+	5449.12i	−0.239872	+	0.988768i
$313$	917.373	−	1288.27i	0.165665	−	0.232643i	−0.723396	−	0.690434i	$-0.757420\pi$
$313$	917.373	−	1288.27i	0.165665	−	0.232643i	0.889060	+	0.457791i	$0.151359\pi$
$314$	3585.24	−	2304.10i	0.644354	−	0.414101i
$315$	859.432	−	751.110i	0.153725	−	0.134350i
$316$	3188.35	−	458.415i	0.567591	−	0.0816072i
$317$	1870.25	−	178.588i	0.331369	−	0.0316419i	0.0719543	−	0.997408i	$-0.477076\pi$
$317$	1870.25	−	178.588i	0.331369	−	0.0316419i	0.259415	+	0.965766i	$0.416470\pi$
$318$	4642.75	+	3651.10i	0.818719	+	0.643848i
$319$	185.649	+	360.108i	0.0325841	+	0.0632044i
$320$	91.3734	−	264.006i	0.0159623	−	0.0461200i
$321$	1626.50			0.282811
$322$	1428.05	−	7449.56i	0.247149	−	1.28928i
$323$	−3843.46			−0.662092
$324$	−58.3797	+	168.677i	−0.0100102	+	0.0289227i
$325$	−4559.44	−	8844.09i	−0.778192	−	1.50948i
$326$	4883.19	+	3840.18i	0.829616	+	0.652418i
$327$	9638.38	−	920.354i	1.62998	−	0.155644i
$328$	−3200.40	+	460.147i	−0.538757	+	0.0774615i
$329$	−1704.35	+	335.993i	−0.285605	+	0.0563036i
$330$	1689.15	−	1085.55i	0.281772	−	0.181084i
$331$	−4340.74	+	6095.71i	−0.720811	+	1.01224i	0.277856	+	0.960623i	$0.410376\pi$
$331$	−4340.74	+	6095.71i	−0.720811	+	1.01224i	−0.998667	+	0.0516151i	$0.983563\pi$
$332$	−1158.75	+	4776.44i	−0.191551	+	0.789582i
$333$	4838.41	−	1674.59i	0.796225	−	0.275576i
$334$	590.446	−	3063.52i	0.0967298	−	0.501882i
$335$	55.2633	+	188.210i	0.00901301	+	0.0306955i
$336$	11123.8	−	4508.14i	1.80611	−	0.731962i
$337$	2179.44	+	3391.27i	0.352289	+	0.548173i	0.971496	−	0.237055i	$-0.0761822\pi$
$337$	2179.44	+	3391.27i	0.352289	+	0.548173i	−0.619207	+	0.785228i	$0.712546\pi$
$338$	3800.26	+	15664.9i	0.611559	+	2.52088i
$339$	6840.02	+	2738.33i	1.09587	+	0.438719i
$340$	−131.477	−	184.634i	−0.0209716	−	0.0294505i
$341$	−8646.39	+	3461.49i	−1.37310	+	0.549708i
$342$	18889.1	+	12139.3i	2.98656	+	1.91934i
$343$	3502.13	+	5299.88i	0.551304	+	0.834304i
$344$		−	3263.66i		−	0.511525i
$345$	−1121.91	−	652.592i	−0.175077	−	0.101839i
$346$	−5647.10	−	3260.36i	−0.877428	−	0.506583i
$347$	−10101.7	+	1946.94i	−1.56279	+	0.301202i	−0.896002	−	0.444050i	$-0.853541\pi$
$347$	−10101.7	+	1946.94i	−1.56279	+	0.301202i	−0.666783	+	0.745252i	$0.732329\pi$
$348$	−429.931	−	20.4801i	−0.0662262	−	0.00315474i
$349$	−9384.23	−	1349.25i	−1.43933	−	0.206945i	−0.621957	−	0.783052i	$-0.713662\pi$
$349$	−9384.23	−	1349.25i	−1.43933	−	0.206945i	−0.817374	+	0.576107i	$0.804571\pi$
$350$	−3845.59	+	7537.75i	−0.587301	+	1.15117i
$351$	−1669.43	−	11611.2i	−0.253868	−	1.76569i
$352$	9800.91	−	2377.68i	1.48406	−	0.360030i
$353$	−2096.58	+	99.8725i	−0.316118	+	0.0150586i	−0.205042	−	0.978753i	$-0.565733\pi$
$353$	−2096.58	+	99.8725i	−0.316118	+	0.0150586i	−0.111077	+	0.993812i	$0.535430\pi$
$354$	−25231.8	−	2409.34i	−3.78829	−	0.361738i
$355$	81.9737	+	78.1618i	0.0122555	+	0.0116856i
$356$	4088.69	−	4718.61i	0.608709	−	0.702488i
$357$	1016.71	−	4269.91i	0.150728	−	0.633019i
$358$	5510.46	−	1618.02i	0.813510	−	0.238868i
$359$	−10082.4	−	7179.64i	−1.48225	−	1.05551i	−0.981838	−	0.189719i	$-0.939242\pi$
$359$	−10082.4	−	7179.64i	−1.48225	−	1.05551i	−0.500413	−	0.865787i	$-0.666818\pi$
$360$	−24.1004	−	505.929i	−0.00352834	−	0.0740690i
$361$	8586.89	−	8187.58i	1.25192	−	1.19370i
$362$	−3346.62	+	2631.81i	−0.485897	+	0.382113i
$363$	5995.48	+	2738.04i	0.866890	+	0.395895i
$364$	5646.95	−	6573.07i	0.813134	−	0.946490i
$365$	−577.237	+	898.199i	−0.0827781	+	0.128805i
$366$	−19549.0	−	6765.99i	−2.79192	−	0.966294i
$367$	−493.428	+	854.643i	−0.0701819	+	0.121559i	−0.898981	−	0.437988i	$-0.855691\pi$
$367$	−493.428	+	854.643i	−0.0701819	+	0.121559i	0.828799	+	0.559546i	$0.189025\pi$
$368$	−5527.37	−	6420.85i	−0.782973	−	0.909538i
$369$	15057.2	−	8693.28i	2.12425	−	1.22643i
$370$	453.365	−	392.843i	0.0637008	−	0.0551971i
$371$	1463.92	+	3169.87i	0.204859	+	0.443589i
$372$	1408.14	−	9793.80i	0.196259	−	1.36501i
$373$	−15.8649	−	166.145i	−0.00220229	−	0.0230634i	0.994304	−	0.106581i	$-0.0339905\pi$
$373$	−15.8649	−	166.145i	−0.00220229	−	0.0230634i	−0.996506	+	0.0835180i	$0.973384\pi$
$374$	1781.42	−	4449.77i	0.246297	−	0.615220i
$375$	2014.18	+	2112.41i	0.277365	+	0.290892i
$376$	−353.236	+	685.181i	−0.0484488	+	0.0939775i
$377$	648.405	−	296.116i	0.0885797	−	0.0404530i
$378$	−7190.79	+	6914.89i	−0.978451	+	0.940909i
$379$	−6078.13	−	5266.73i	−0.823780	−	0.713810i	0.137165	−	0.990548i	$-0.456201\pi$
$379$	−6078.13	−	5266.73i	−0.823780	−	0.713810i	−0.960945	+	0.276739i	$0.910746\pi$
$380$	1084.25	+	208.972i	0.146370	+	0.0282106i
$381$	−11284.4	−	2737.56i	−1.51736	−	0.368108i
$382$	−540.034	+	5655.49i	−0.0723312	+	0.757487i
$383$	640.428	+	330.164i	0.0854422	+	0.0440485i	0.500418	−	0.865784i	$-0.333180\pi$
$383$	640.428	+	330.164i	0.0854422	+	0.0440485i	−0.414976	+	0.909832i	$0.636210\pi$
$384$	2404.97	−	8190.59i	0.319605	−	1.08847i
$385$	1181.11	−	117.841i	0.156350	−	0.0155993i
$386$	−4300.66	+	9417.13i	−0.567092	+	1.24176i
$387$	6522.60	+	16292.7i	0.856750	+	2.14006i
$388$	−6464.56	+	3332.71i	−0.845847	+	0.436064i
$389$	−1163.46	−	6036.58i	−0.151644	−	0.786804i	−0.975499	−	0.220003i	$-0.929393\pi$
$389$	−1163.46	−	6036.58i	−0.151644	−	0.786804i	0.823855	−	0.566801i	$-0.191819\pi$
$390$	−1766.37	−	3059.44i	−0.229342	−	0.397232i
$391$	−3085.17	+	284.512i	−0.399038	+	0.0367990i
$392$	2808.35	+	244.138i	0.361845	+	0.0314561i
$393$	−528.276	−	609.663i	−0.0678066	−	0.0782530i
$394$	248.970	−	5226.52i	0.0318348	−	0.668295i
$395$	479.864	−	610.196i	0.0611255	−	0.0777274i
$396$	−9573.61	+	6817.34i	−1.21488	+	0.865111i
$397$	−2923.53	−	3717.57i	−0.369592	−	0.469974i	0.565311	−	0.824878i	$-0.308756\pi$
$397$	−2923.53	−	3717.57i	−0.369592	−	0.469974i	−0.934903	+	0.354904i	$0.884514\pi$
$398$	11419.7	+	3353.12i	1.43823	+	0.422304i
$399$	10769.8	+	18472.5i	1.35129	+	2.31774i
$400$	3926.36	+	8597.52i	0.490794	+	1.07469i
$401$	−1593.97	+	1671.71i	−0.198502	+	0.208183i	−0.815460	−	0.578813i	$-0.803516\pi$
$401$	−1593.97	+	1671.71i	−0.198502	+	0.208183i	0.616958	+	0.786996i	$0.288365\pi$
$402$	−1441.31	−	4164.38i	−0.178820	−	0.516667i
$403$	5359.46	+	15485.2i	0.662466	+	1.91407i
$404$	101.624	−	106.581i	0.0125148	−	0.0131252i
$405$	17.8696	+	39.1289i	0.00219246	+	0.00480082i
$406$	−526.276	−	300.876i	−0.0643316	−	0.0367788i
$407$	5108.76	+	1500.07i	0.622191	+	0.182692i
$408$	−1204.04	−	1531.06i	−0.146100	−	0.185781i
$409$	−4844.10	+	3449.47i	−0.585636	+	0.417030i	−0.834101	−	0.551611i	$-0.814013\pi$
$409$	−4844.10	+	3449.47i	−0.585636	+	0.417030i	0.248465	+	0.968641i	$0.420074\pi$
$410$	1259.26	−	1601.27i	0.151683	−	0.192881i
$411$	−44.9356	+	943.314i	−0.00539296	+	0.113212i
$412$	−5940.52	−	6855.73i	−0.710361	−	0.819800i
$413$	−12639.3	−	8047.22i	−1.50591	−	0.958784i
$414$	16061.0	+	8346.00i	1.90665	+	0.990782i
$415$	592.245	+	1025.80i	0.0700534	+	0.121336i
$416$	−3358.08	−	17423.4i	−0.395778	−	2.05349i
$417$	−11324.6	+	5838.26i	−1.32990	+	0.685613i
$418$	8678.32	+	21677.4i	1.01548	+	2.53655i
$419$	−1620.37	+	3548.12i	−0.188927	+	0.413692i	−0.980265	−	0.197686i	$-0.936657\pi$
$419$	−1620.37	+	3548.12i	−0.188927	+	0.413692i	0.791338	+	0.611378i	$0.209385\pi$
$420$	−518.973	+	1149.27i	−0.0602936	+	0.133521i
$421$	−394.694	+	1344.20i	−0.0456917	+	0.155612i	−0.979179	−	0.202999i	$-0.934931\pi$
$421$	−394.694	+	1344.20i	−0.0456917	+	0.155612i	0.933487	+	0.358610i	$0.116749\pi$
$422$	−9239.44	−	4763.26i	−1.06580	−	0.549460i
$423$	394.032	−	4126.49i	0.0452919	−	0.474318i
$424$	1505.74	+	365.288i	0.172465	+	0.0418395i
$425$	3393.96	+	654.132i	0.387368	+	0.0746590i
$426$	−1923.05	−	1666.34i	−0.218714	−	0.189517i
$427$	−8476.46	−	8814.67i	−0.960667	−	0.998997i
$428$	−1014.66	+	463.380i	−0.114592	+	0.0523326i
$429$	14368.0	−	27870.0i	1.61700	−	3.13654i
$430$	1418.96	+	1488.16i	0.159136	+	0.166897i
$431$	894.164	−	2233.51i	0.0999312	−	0.249616i	−0.869975	−	0.493097i	$-0.835865\pi$
$431$	894.164	−	2233.51i	0.0999312	−	0.249616i	0.969906	+	0.243480i	$0.0782892\pi$
$432$	1059.19	+	11092.3i	0.117964	+	1.23537i
$433$	750.953	−	5222.99i	0.0833453	−	0.579679i	−0.904762	−	0.425916i	$-0.859952\pi$
$433$	750.953	−	5222.99i	0.0833453	−	0.579679i	0.988108	−	0.153763i	$-0.0491392\pi$
$434$	8035.24	−	11385.8i	0.888718	−	1.25930i
$435$	−78.3931	+	67.9280i	−0.00864060	+	0.00748712i
$436$	−5750.52	+	3320.06i	−0.631651	+	0.364684i
$437$	9921.00	−	11374.8i	1.08601	−	1.24514i
$438$	11993.2	−	20772.8i	1.30835	−	2.26612i
$439$	1817.98	+	629.209i	0.197648	+	0.0684067i	0.424099	−	0.905616i	$-0.360591\pi$
$439$	1817.98	+	629.209i	0.197648	+	0.0684067i	−0.226451	+	0.974023i	$0.572712\pi$
$440$	284.770	−	443.111i	0.0308543	−	0.0480102i
$441$	−14507.6	+	4393.87i	−1.56653	+	0.474449i
$442$	−7671.00	−	3503.23i	−0.825503	−	0.376995i
$443$	−5816.26	+	4573.96i	−0.623790	+	0.490554i	−0.879310	−	0.476250i	$-0.841996\pi$
$443$	−5816.26	+	4573.96i	−0.623790	+	0.490554i	0.255520	+	0.966804i	$0.417753\pi$
$444$	−4093.85	+	3903.48i	−0.437580	+	0.417232i
$445$	−71.5956	−	1502.98i	−0.00762687	−	0.160108i
$446$	3581.56	+	2550.42i	0.380250	+	0.270775i
$447$	3886.23	−	1141.10i	0.411213	−	0.120743i
$448$	−2548.92	+	2696.04i	−0.268806	+	0.284321i
$449$	−7862.25	+	9073.53i	−0.826376	+	0.953688i	−0.999513	−	0.0312092i	$-0.990064\pi$
$449$	−7862.25	+	9073.53i	−0.826376	+	0.953688i	0.173137	+	0.984898i	$0.444610\pi$
$450$	−14613.9	−	13934.3i	−1.53090	−	1.45971i
$451$	17998.9	+	1718.69i	1.87924	+	0.179445i
$452$	−5047.15	+	240.425i	−0.525217	+	0.0250192i
$453$	−5636.49	+	1367.40i	−0.584604	+	0.141823i
$454$	−1332.41	−	9267.10i	−0.137738	−	0.957989i
$455$	−108.218	−	2085.57i	−0.0111502	−	0.214886i
$456$	9392.16	+	1350.39i	0.964535	+	0.138679i
$457$	4720.14	+	224.848i	0.483149	+	0.0230152i	0.287744	−	0.957707i	$-0.407095\pi$
$457$	4720.14	+	224.848i	0.483149	+	0.0230152i	0.195405	+	0.980723i	$0.437398\pi$
$458$	3197.86	−	616.338i	0.326258	−	0.0628812i
$459$	3528.94	+	2037.43i	0.358860	+	0.207188i
$460$	885.802	+	87.4814i	0.0897842	+	0.00886705i
$461$		−	12956.5i		−	1.30899i	−0.756068	−	0.654494i	$-0.772882\pi$
$461$		−	12956.5i		−	1.30899i	0.756068	−	0.654494i	$-0.227118\pi$
$462$	−26378.3	+	3906.92i	−2.65634	+	0.393434i
$463$	−5860.21	−	3766.13i	−0.588222	−	0.378027i	0.212413	−	0.977180i	$-0.431868\pi$
$463$	−5860.21	−	3766.13i	−0.588222	−	0.378027i	−0.800635	+	0.599153i	$0.795504\pi$
$464$	−628.603	+	251.654i	−0.0628925	+	0.0251784i
$465$	−1383.16	−	1942.38i	−0.137941	−	0.193711i
$466$	2723.00	+	1090.13i	0.270688	+	0.108367i
$467$	−3122.53	−	12871.2i	−0.309407	−	1.27539i	−0.888025	−	0.459795i	$-0.847923\pi$
$467$	−3122.53	−	12871.2i	−0.309407	−	1.27539i	0.578617	−	0.815599i	$-0.303592\pi$
$468$	11179.5	+	17395.6i	1.10421	+	1.71819i
$469$	359.795	−	2580.09i	0.0354238	−	0.254024i
$470$	−136.832	−	466.007i	−0.0134289	−	0.0457347i
$471$	−1832.83	+	9509.64i	−0.179305	+	0.930320i
$472$	−6283.40	+	2174.71i	−0.612748	+	0.212074i
$473$	−4302.73	+	17736.1i	−0.418265	+	1.72411i
$474$	−10115.9	+	14205.9i	−0.980254	+	1.37657i
$475$	−14165.2	+	9103.43i	−1.36830	+	0.879355i
$476$	582.219	+	2953.36i	0.0560630	+	0.284384i
$477$	−8246.91	+	1185.73i	−0.791614	+	0.113817i
$478$	14046.8	−	1341.31i	1.34411	−	0.128347i
$479$	1355.25	+	1065.78i	0.129275	+	0.101663i	0.680703	−	0.732559i	$-0.261674\pi$
$479$	1355.25	+	1065.78i	0.129275	+	0.101663i	−0.551428	+	0.834223i	$0.685917\pi$
$480$	1183.19	+	2295.06i	0.112510	+	0.218239i
$481$	3063.94	−	8852.67i	0.290444	−	0.839183i
$482$	11675.7			1.10335
$483$	10012.4	+	14030.7i	0.943234	+	1.32178i
$484$	−4520.22			−0.424514
$485$	−573.277	+	1656.38i	−0.0536725	+	0.155077i
$486$	6221.55	+	12068.1i	0.580690	+	1.12638i
$487$	4043.72	+	3180.02i	0.376260	+	0.295894i	0.788323	−	0.615261i	$-0.210949\pi$
$487$	4043.72	+	3180.02i	0.376260	+	0.295894i	−0.412064	+	0.911155i	$0.635192\pi$
$488$	−5402.14	+	515.842i	−0.501113	+	0.0478505i
$489$	−13973.4	+	2009.07i	−1.29222	+	0.185794i
$490$	−1386.70	+	1109.68i	−0.127846	+	0.102307i
$491$	−5476.94	+	3519.81i	−0.503403	+	0.323517i	−0.767576	−	0.640958i	$-0.778537\pi$
$491$	−5476.94	+	3519.81i	−0.503403	+	0.323517i	0.264173	+	0.964475i	$0.414901\pi$
$492$	−11142.1	+	15646.9i	−1.02099	+	1.43377i
$493$	−58.3772	+	240.634i	−0.00533302	+	0.0219830i
$494$	38822.9	−	13436.7i	3.53588	−	1.22378i
$495$	−536.033	+	2781.20i	−0.0486725	+	0.252537i
$496$	−4385.27	−	14934.9i	−0.396985	−	1.35201i
$497$	−564.983	−	1394.09i	−0.0509918	−	0.125822i
$498$	−14386.6	−	22386.0i	−1.29454	−	2.01434i
$499$	−78.9410	−	325.399i	−0.00708193	−	0.0291921i	0.968161	−	0.250328i	$-0.0805386\pi$
$499$	−78.9410	−	325.399i	−0.00708193	−	0.0291921i	−0.975243	+	0.221136i	$0.929023\pi$
$500$	−1858.32	−	743.960i	−0.166213	−	0.0665418i
$501$	4112.48	+	5775.18i	0.366731	+	0.515002i
$502$	−659.852	+	264.165i	−0.0586666	+	0.0234866i
$503$	1521.97	+	978.109i	0.134913	+	0.0867032i	0.606356	−	0.795193i	$-0.292631\pi$
$503$	1521.97	+	978.109i	0.134913	+	0.0867032i	−0.471443	+	0.881896i	$0.656267\pi$
$504$	−2473.53	+	6255.35i	−0.218610	+	0.552848i
$505$		−	35.4901i		−	0.00312731i
$506$	8570.82	+	16758.2i	0.753003	+	1.47232i
$507$	−31722.6	−	18315.0i	−2.77879	−	1.60434i
$508$	7819.45	−	1507.08i	0.682937	−	0.131625i
$509$	2701.99	+	128.712i	0.235292	+	0.0112084i	0.164897	−	0.986311i	$-0.447271\pi$
$509$	2701.99	+	128.712i	0.235292	+	0.0112084i	0.0703954	+	0.997519i	$0.477574\pi$
$510$	1214.68	+	174.645i	0.105465	+	0.0151635i
$511$	11896.0	−	7716.57i	1.02984	−	0.668026i
$512$	1680.03	+	11684.9i	0.145015	+	1.00860i
$513$	−19291.4	+	4680.05i	−1.66031	+	0.402786i
$514$	17403.8	−	829.044i	1.49348	−	0.0711431i
$515$	−2176.27	−	207.809i	−0.186210	−	0.0177809i
$516$	−14032.5	−	13379.9i	−1.19718	−	1.14151i
$517$	2822.96	−	3257.86i	0.240142	−	0.277139i
$518$	−7634.54	+	2276.93i	−0.647572	+	0.193132i
$519$	14217.7	−	4174.69i	1.20248	−	0.353080i
$520$	−754.894	−	537.558i	−0.0636621	−	0.0453336i
$521$	291.747	+	6124.52i	0.0245330	+	0.515010i	0.977371	+	0.211531i	$0.0678451\pi$
$521$	291.747	+	6124.52i	0.0245330	+	0.515010i	−0.952838	+	0.303479i	$0.901852\pi$
$522$	1046.92	−	998.240i	0.0877828	−	0.0837008i
$523$	−13561.7	+	10665.0i	−1.13387	+	0.891682i	−0.995122	−	0.0986469i	$-0.968549\pi$
$523$	−13561.7	+	10665.0i	−1.13387	+	0.891682i	−0.138743	+	0.990328i	$0.544306\pi$
$524$	503.245	+	229.824i	0.0419549	+	0.0191601i
$525$	−6366.39	−	18145.0i	−0.529242	−	1.50841i
$526$	−1998.25	+	3109.34i	−0.165642	+	0.257745i
$527$	−5379.11	−	1861.73i	−0.444626	−	0.153886i
$528$	−14892.3	+	25794.2i	−1.22747	+	2.12603i
$529$	7121.64	−	9865.00i	0.585324	−	0.810799i
$530$	−845.405	+	488.095i	−0.0692869	+	0.0400028i
$531$	27021.4	−	23414.2i	2.20834	−	1.91354i
$532$	−11981.3	−	8455.44i	−0.976416	−	0.689079i
$533$	4527.27	−	31487.8i	0.367913	−	2.55889i
$534$	3213.23	+	33650.5i	0.260394	+	2.72697i
$535$	−99.9109	+	249.565i	−0.00807388	+	0.0201676i
$536$	−797.738	−	836.644i	−0.0642855	−	0.0674207i
$537$	−5980.23	+	11600.0i	−0.480570	+	0.932176i
$538$	5294.64	−	2417.98i	0.424290	−	0.193767i
$539$	−14939.9	−	5029.20i	−1.19389	−	0.401898i
$540$	−884.744	−	766.635i	−0.0705061	−	0.0610939i
$541$	−2204.61	−	424.904i	−0.175201	−	0.0337672i	0.100896	−	0.994897i	$-0.467829\pi$
$541$	−2204.61	−	424.904i	−0.175201	−	0.0337672i	−0.276097	+	0.961130i	$0.589041\pi$
$542$	−15701.3	−	3809.10i	−1.24433	−	0.301872i
$543$	919.659	−	9631.11i	0.0726820	−	0.761161i
$544$	5478.60	+	2824.41i	0.431788	+	0.222602i
$545$	−450.840	+	1535.42i	−0.0354346	+	0.120679i
$546$	4657.82	+	46684.9i	0.365085	+	3.65921i
$547$	−3276.44	+	7174.40i	−0.256107	+	0.560796i	−0.993390	−	0.114788i	$-0.963381\pi$
$547$	−3276.44	+	7174.40i	−0.256107	+	0.560796i	0.737283	+	0.675584i	$0.236108\pi$
$548$	−240.712	−	601.270i	−0.0187641	−	0.0468704i
$549$	25937.3	−	13371.6i	2.01635	−	1.03950i
$550$	−3974.02	−	20619.2i	−0.308096	−	1.59855i
$551$	−603.135	−	1044.66i	−0.0466323	−	0.0807696i
$552$	7639.11	+	388.711i	0.589026	+	0.0299722i
$553$	−9143.25	+	4762.88i	−0.703093	+	0.366254i
$554$	18697.0	+	21577.5i	1.43386	+	1.65477i
$555$	−64.8640	+	1361.66i	−0.00496094	+	0.104143i
$556$	5401.38	−	6868.41i	0.411996	−	0.523895i
$557$	14509.6	−	10332.2i	1.10375	−	0.785978i	0.125232	−	0.992128i	$-0.460033\pi$
$557$	14509.6	−	10332.2i	1.10375	−	0.785978i	0.978521	+	0.206149i	$0.0660932\pi$
$558$	20556.0	+	26139.1i	1.55951	+	1.98308i
$559$	30809.6	+	9046.51i	2.33114	+	0.684484i
$560$	8.41609	+	1983.72i	0.000635080	+	0.149692i
$561$	4524.72	+	9907.76i	0.340524	+	0.745644i
$562$	20375.1	−	21368.8i	1.52931	−	1.60390i
$563$	2906.44	+	8397.61i	0.217570	+	0.628627i	0.999983	+	0.00586719i	$0.00186759\pi$
$563$	2906.44	+	8397.61i	0.217570	+	0.628627i	−0.782413	+	0.622760i	$0.786011\pi$
$564$	1497.86	+	4327.79i	0.111829	+	0.323108i
$565$	−840.323	+	881.305i	−0.0625711	+	0.0656226i
$566$	−781.649	−	1711.57i	−0.0580480	−	0.127107i
$567$	−2.42367	−	571.275i	−0.000179515	−	0.0423127i
$568$	−640.470	−	188.059i	−0.0473126	−	0.0138922i
$569$	−8677.25	−	11034.0i	−0.639314	−	0.812953i	0.353141	−	0.935570i	$-0.385114\pi$
$569$	−8677.25	−	11034.0i	−0.639314	−	0.812953i	−0.992454	+	0.122617i	$0.960871\pi$
$570$	−4869.75	+	3467.73i	−0.357845	+	0.254820i
$571$	−11676.7	+	14848.1i	−0.855785	+	1.08822i	0.139403	+	0.990236i	$0.455482\pi$
$571$	−11676.7	+	14848.1i	−0.855785	+	1.08822i	−0.995188	+	0.0979839i	$0.968761\pi$
$572$	−1023.19	+	21479.5i	−0.0747936	+	1.57011i
$573$	−8454.39	−	9756.89i	−0.616383	−	0.711343i
$574$	−23993.7	+	12498.7i	−1.74473	+	0.908861i
$575$	−10696.6	+	8355.96i	−0.775792	+	0.606031i
$576$	−4426.70	−	7667.27i	−0.320219	−	0.554635i
$577$	4842.42	+	25124.9i	0.349381	+	1.81276i	0.552393	+	0.833584i	$0.313715\pi$
$577$	4842.42	+	25124.9i	0.349381	+	1.81276i	−0.203013	+	0.979176i	$0.565073\pi$
$578$	−13610.5	+	7016.68i	−0.979447	+	0.504940i
$579$	−8743.67	−	21840.6i	−0.627590	−	1.56764i
$580$	29.5518	−	64.7094i	0.00211564	−	0.00463260i
$581$	−1561.72	−	15653.0i	−0.111516	−	1.11772i
$582$	11093.8	−	37782.1i	0.790127	−	2.69093i
$583$	−7701.22	−	3970.25i	−0.547087	−	0.282043i
$584$	598.118	−	6263.78i	0.0423807	−	0.443830i
$585$	4842.88	+	1174.87i	0.342271	+	0.0830340i
$586$	−9378.91	−	1807.64i	−0.661159	−	0.127428i
$587$	−1472.26	−	1275.72i	−0.103521	−	0.0897010i	0.601563	−	0.798826i	$-0.294545\pi$
$587$	−1472.26	−	1275.72i	−0.103521	−	0.0897010i	−0.705083	+	0.709124i	$0.749090\pi$
$588$	12563.0	−	11073.9i	0.881105	−	0.776669i
$589$	25224.0	−	11519.4i	1.76458	−	0.805855i
$590$	1919.60	−	3723.50i	0.133947	−	0.259820i
$591$	8205.33	+	8605.50i	0.571103	+	0.598956i
$592$	−3307.25	+	8261.11i	−0.229606	+	0.573529i
$593$	−2424.10	−	25386.4i	−0.167868	−	1.75800i	−0.551187	−	0.834382i	$-0.685825\pi$
$593$	−2424.10	−	25386.4i	−0.167868	−	1.75800i	0.383318	−	0.923616i	$-0.374781\pi$
$594$	3523.13	−	24503.9i	0.243360	−	1.69260i
$595$	592.710	+	418.288i	0.0408382	+	0.0288204i
$596$	−2099.26	+	1819.02i	−0.144277	+	0.125017i
$597$	−23422.6	+	13523.0i	−1.60573	+	0.927071i
$598$	30168.7	−	13659.6i	2.06303	−	0.934086i
$599$	−5093.75	+	8822.63i	−0.347454	+	0.601808i	−0.985796	−	0.167944i	$-0.946287\pi$
$599$	−5093.75	+	8822.63i	−0.347454	+	0.601808i	0.638342	+	0.769753i	$0.279620\pi$
$600$	−8063.90	−	2790.94i	−0.548679	−	0.189900i
$601$	−9580.94	+	14908.2i	−0.650274	+	1.01185i	0.346986	+	0.937870i	$0.387205\pi$
$601$	−9580.94	+	14908.2i	−0.650274	+	1.01185i	−0.997260	+	0.0739757i	$0.976431\pi$
$602$	−9040.93	−	25767.8i	−0.612095	−	1.74455i
$603$	5654.50	+	2582.32i	0.381872	+	0.174395i
$604$	3126.66	−	2458.83i	0.210632	−	0.165643i
$605$	−788.401	+	751.739i	−0.0529803	+	0.0505166i
$606$	37.9374	+	796.404i	0.00254307	+	0.0533856i
$607$	−6120.80	−	4358.60i	−0.409284	−	0.291450i	0.356811	−	0.934176i	$-0.383864\pi$
$607$	−6120.80	−	4358.60i	−0.409284	−	0.291450i	−0.766096	+	0.642726i	$0.777803\pi$
$608$	−28811.0	+	8459.69i	−1.92178	+	0.564285i
$609$	1320.12	−	393.713i	0.0878389	−	0.0261971i
$610$	2238.99	−	2583.93i	0.148613	−	0.171509i
$611$	−5489.12	−	5233.86i	−0.363447	−	0.346546i
$612$	−7150.50	−	682.790i	−0.472291	−	0.0450983i
$613$	23044.8	−	1097.76i	1.51839	−	0.0723296i	0.728271	−	0.685289i	$-0.240324\pi$
$613$	23044.8	−	1097.76i	1.51839	−	0.0723296i	0.790115	+	0.612959i	$0.210021\pi$
$614$	−5780.87	+	1402.42i	−0.379962	+	0.0921778i
$615$	658.803	+	4582.08i	0.0431960	+	0.300435i
$616$	−5868.67	+	3806.84i	−0.383856	+	0.248997i
$617$	−14791.4	−	2126.69i	−0.965123	−	0.138764i	−0.358305	−	0.933604i	$-0.616645\pi$
$617$	−14791.4	−	2126.69i	−0.965123	−	0.138764i	−0.606818	+	0.794841i	$0.707554\pi$
$618$	49058.1	+	2336.92i	3.19321	+	0.152111i
$619$	18267.4	−	3520.75i	1.18615	−	0.228612i	0.442245	−	0.896894i	$-0.354182\pi$
$619$	18267.4	−	3520.75i	1.18615	−	0.228612i	0.743908	+	0.668282i	$0.232970\pi$
$620$	1416.23	+	817.663i	0.0917377	+	0.0529648i
$621$	−15138.9	+	5184.76i	−0.978268	+	0.335036i
$622$		−	38711.5i		−	2.49548i
$623$	−7348.16	+	18582.9i	−0.472549	+	1.19504i
$624$	44084.5	+	28331.4i	2.82819	+	1.81757i
$625$	13832.2	−	5537.59i	0.885262	−	0.354406i
$626$	−3406.23	−	4783.38i	−0.217477	−	0.305403i
$627$	−49260.6	−	19721.0i	−3.13760	−	1.25611i
$628$	−1565.86	−	6454.57i	−0.0994979	−	0.410136i
$629$	1759.33	+	2737.56i	0.111524	+	0.173535i
$630$	−1591.80	−	3927.74i	−0.100665	−	0.248389i
$631$	−6605.46	−	22496.1i	−0.416734	−	1.41927i	−0.854160	−	0.520011i	$-0.825928\pi$
$631$	−6605.46	−	22496.1i	−0.416734	−	1.41927i	0.437426	−	0.899254i	$-0.355890\pi$
$632$	−865.801	+	4492.20i	−0.0544932	+	0.282738i
$633$	22322.8	−	7726.00i	1.40166	−	0.485120i
$634$	1644.63	−	6779.26i	0.103023	−	0.424667i
$635$	1113.21	−	1563.28i	0.0695689	−	0.0976959i
$636$	7743.63	−	4976.53i	0.482790	−	0.310271i
$637$	−10089.2	+	25834.7i	−0.627546	+	1.60692i
$638$	1489.01	−	214.087i	0.0923987	−	0.0132849i
$639$	3573.17	−	341.196i	0.221209	−	0.0211229i
$640$	1109.01	+	872.135i	0.0684961	+	0.0538659i
$641$	7541.01	+	14627.5i	0.464667	+	0.901329i	0.998447	+	0.0557055i	$0.0177408\pi$
$641$	7541.01	+	14627.5i	0.464667	+	0.901329i	−0.533780	+	0.845623i	$0.679229\pi$
$642$	1975.24	−	5707.09i	0.121428	−	0.350842i
$643$	12125.8			0.743692			0.371846	−	0.928294i	$-0.378725\pi$
$643$	12125.8			0.743692			0.371846	+	0.928294i	$0.378725\pi$
$644$	−10243.4	−	5900.33i	−0.626778	−	0.361033i
$645$	−4672.65			−0.285249
$646$	−4667.55	+	13486.0i	−0.284276	+	0.821361i
$647$	−1409.52	−	2734.09i	−0.0856476	−	0.166133i	0.842122	−	0.539288i	$-0.181306\pi$
$647$	−1409.52	−	2734.09i	−0.0856476	−	0.166133i	−0.927769	+	0.373155i	$0.878276\pi$
$648$	−199.272	−	156.709i	−0.0120805	−	0.00950018i
$649$	37013.7	−	3534.38i	2.23870	−	0.213770i
$650$	−36569.3	+	5257.87i	−2.20672	+	0.317278i
$651$	6125.06	+	31069.9i	0.368756	+	1.87055i
$652$	8144.65	−	5234.25i	0.489216	−	0.314400i
$653$	−6918.28	+	9715.36i	−0.414599	+	0.582223i	−0.968081	−	0.250638i	$-0.919359\pi$
$653$	−6918.28	+	9715.36i	−0.414599	+	0.582223i	0.553482	+	0.832861i	$0.313299\pi$
$654$	8475.62	−	34937.0i	0.506763	−	2.08891i
$655$	125.995	−	43.6074i	0.00751610	−	0.00260135i
$656$	−5718.74	+	29671.6i	−0.340365	+	1.76598i
$657$	9532.60	+	32465.0i	0.566061	+	1.92783i
$658$	−890.852	+	6388.30i	−0.0527797	+	0.378483i
$659$	−12136.3	−	18884.5i	−0.717395	−	1.11629i	−0.988128	−	0.153634i	$-0.950902\pi$
$659$	−12136.3	−	18884.5i	−0.717395	−	1.11629i	0.270733	−	0.962655i	$-0.412734\pi$
$660$	−737.742	−	3041.01i	−0.0435099	−	0.179350i
$661$	−11573.0	−	4633.11i	−0.680992	−	0.272628i	0.00526617	−	0.999986i	$-0.498324\pi$
$661$	−11573.0	−	4633.11i	−0.680992	−	0.272628i	−0.686258	+	0.727358i	$0.740748\pi$
$662$	16117.3	+	22633.6i	0.946248	+	1.32882i
$663$	17790.9	−	7122.41i	1.04215	−	0.417212i
$664$	−5872.45	−	3774.00i	−0.343216	−	0.220572i
$665$	−3495.92	+	517.785i	−0.203859	+	0.0301937i
$666$		−	19010.7i		−	1.10608i
$667$	−561.472	−	793.909i	−0.0325941	−	0.0460874i
$668$	−4210.81	−	2431.11i	−0.243894	−	0.140812i
$669$	−9810.98	+	1890.91i	−0.566987	+	0.109278i
$670$	727.505	+	34.6553i	0.0419492	+	0.00199829i
$671$	30037.5	+	4318.75i	1.72815	+	0.248470i
$672$	−1776.97	−	34245.6i	−0.102006	−	1.96585i
$673$	2004.98	+	13944.9i	0.114838	+	0.798719i	0.963100	+	0.269142i	$0.0867401\pi$
$673$	2004.98	+	13944.9i	0.114838	+	0.798719i	−0.848262	+	0.529577i	$0.822351\pi$
$674$	14546.1	−	3528.84i	0.831297	−	0.201670i
$675$	17831.8	−	849.433i	1.01681	−	0.0484366i
$676$	25007.4	+	2387.91i	1.42281	+	0.135862i
$677$	20905.4	+	19933.3i	1.18680	+	1.13161i	0.988461	+	0.151473i	$0.0484018\pi$
$677$	20905.4	+	19933.3i	1.18680	+	1.13161i	0.198335	+	0.980134i	$0.436447\pi$
$678$	17914.9	−	20674.9i	1.01478	−	1.17111i
$679$	15991.9	−	16915.0i	0.903850	−	0.956019i
$680$	308.881	−	90.6957i	0.0174192	−	0.00511473i
$681$	17330.5	+	12341.0i	0.975192	+	0.694431i
$682$	1645.45	+	34542.3i	0.0923865	+	1.93943i
$683$	−22555.5	+	21506.6i	−1.26363	+	1.20487i	−0.295246	+	0.955421i	$0.595402\pi$
$683$	−22555.5	+	21506.6i	−1.26363	+	1.20487i	−0.968387	+	0.249451i	$0.919750\pi$
$684$	27506.1	−	21631.0i	1.53760	−	1.20919i
$685$	−141.979	−	64.8397i	−0.00791933	−	0.00361664i
$686$	22849.3	−	5852.09i	1.27171	−	0.325705i
$687$	−4001.12	+	6225.86i	−0.222201	+	0.345751i
$688$	−28823.8	−	9976.03i	−1.59724	−	0.552809i
$689$	−7622.13	+	13201.9i	−0.421452	+	0.729976i
$690$	−3652.28	+	3144.06i	−0.201507	+	0.173467i
$691$	21931.0	−	12661.9i	1.20737	−	0.697076i	0.245187	−	0.969476i	$-0.421151\pi$
$691$	21931.0	−	12661.9i	1.20737	−	0.697076i	0.962184	+	0.272399i	$0.0878172\pi$
$692$	−7680.10	+	6654.84i	−0.421898	+	0.365577i
$693$	21689.1	−	30733.1i	1.18889	−	1.68464i
$694$	−5436.16	+	37809.3i	−0.297340	+	2.06804i
$695$	−200.167	−	2096.25i	−0.0109249	−	0.114410i
$696$	227.201	−	567.521i	0.0123736	−	0.0309078i
$697$	7625.70	+	7997.61i	0.414410	+	0.434621i
$698$	−16130.6	+	31289.0i	−0.874717	+	1.69671i
$699$	−6062.98	+	2768.87i	−0.328073	+	0.149826i
$700$	9140.97	+	9505.69i	0.493566	+	0.513259i
$701$	−26128.3	−	22640.3i	−1.40778	−	1.21984i	−0.942294	−	0.334787i	$-0.891336\pi$
$701$	−26128.3	−	22640.3i	−1.40778	−	1.21984i	−0.465482	−	0.885057i	$-0.654119\pi$
$702$	−42768.8	−	8243.00i	−2.29943	−	0.443180i
$703$	−15406.0	−	3737.44i	−0.826524	−	0.200513i
$704$	875.173	−	9165.22i	0.0468527	−	0.490664i
$705$	980.990	+	505.735i	0.0524060	+	0.0270172i
$706$	−2195.68	+	7477.81i	−0.117048	+	0.398627i
$707$	−193.976	+	429.563i	−0.0103186	+	0.0228506i
$708$	−16409.5	+	35931.8i	−0.871054	+	1.90734i
$709$	−5669.30	−	14161.2i	−0.300303	−	0.750122i	−0.999385	−	0.0350792i	$-0.988832\pi$
$709$	−5669.30	−	14161.2i	−0.300303	−	0.750122i	0.699081	−	0.715042i	$-0.253593\pi$
$710$	373.805	−	192.710i	0.0197587	−	0.0101863i
$711$	−4655.70	−	24156.1i	−0.245573	−	1.27415i
$712$	4433.80	+	7679.57i	0.233376	+	0.404219i
$713$	19394.7	−	11113.9i	1.01871	−	0.583758i
$714$	−13747.6	−	8752.87i	−0.720577	−	0.458779i
$715$	3393.71	+	3916.55i	0.177507	+	0.204854i
$716$	425.874	−	8940.20i	0.0222286	−	0.466635i
$717$	−19821.7	+	25205.3i	−1.03243	+	1.31285i
$718$	−37436.2	+	26658.2i	−1.94583	+	1.38562i
$719$	6040.25	+	7680.80i	0.313301	+	0.398394i	0.917045	−	0.398784i	$-0.130568\pi$
$719$	6040.25	+	7680.80i	0.313301	+	0.398394i	−0.603744	+	0.797178i	$0.706325\pi$
$720$	−4541.91	−	1333.63i	−0.235093	−	0.0690296i
$721$	25205.2	+	14410.0i	1.30193	+	0.744322i
$722$	−18300.7	−	40072.9i	−0.943325	−	2.06559i
$723$	−18309.4	+	19202.3i	−0.941816	+	0.987748i
$724$	2170.13	+	6270.19i	0.111398	+	0.321864i
$725$	354.803	+	1025.14i	0.0181752	+	0.0525139i
$726$	16888.3	−	17711.9i	0.863337	−	0.905442i
$727$	729.804	+	1598.05i	0.0372310	+	0.0815246i	0.927334	−	0.374235i	$-0.122095\pi$
$727$	729.804	+	1598.05i	0.0372310	+	0.0815246i	−0.890103	+	0.455760i	$0.849368\pi$
$728$	6198.93	+	10632.4i	0.315587	+	0.541297i
$729$	−30403.2	−	8927.19i	−1.54464	−	0.453548i
$730$	2450.61	+	3116.20i	0.124248	+	0.157994i
$731$	−9085.96	+	6470.08i	−0.459721	+	0.327366i
$732$	−19929.1	+	25341.9i	−1.00628	+	1.27959i
$733$	833.089	−	17488.7i	0.0419793	−	0.881255i	−0.875439	−	0.483330i	$-0.839427\pi$
$733$	833.089	−	17488.7i	0.0419793	−	0.881255i	0.917418	−	0.397925i	$-0.130270\pi$
$734$	2399.56	+	2769.24i	0.120667	+	0.139257i
$735$	349.537	−	4020.78i	0.0175413	−	0.201781i
$736$	−22500.6	+	8923.39i	−1.12688	+	0.446903i
$737$	3232.23	+	5598.39i	0.161548	+	0.279809i
$738$	−12217.5	−	63390.2i	−0.609391	−	3.16182i
$739$	11595.7	−	5978.02i	0.577207	−	0.297571i	−0.144795	−	0.989462i	$-0.546252\pi$
$739$	11595.7	−	5978.02i	0.577207	−	0.297571i	0.722002	+	0.691891i	$0.243222\pi$
$740$	−347.466	−	867.928i	−0.0172609	−	0.0431158i
$741$	−38782.0	+	84920.7i	−1.92266	+	4.21004i
$742$	12900.3	−	1287.08i	0.638254	−	0.0636795i
$743$	−6330.13	+	21558.4i	−0.312557	+	1.06447i	0.642065	+	0.766650i	$0.278078\pi$
$743$	−6330.13	+	21558.4i	−0.312557	+	1.06447i	−0.954622	+	0.297821i	$0.903740\pi$
$744$	12490.7	+	6439.39i	0.615498	+	0.317311i
$745$	−63.6322	+	666.386i	−0.00312926	+	0.0327711i
$746$	−602.237	−	146.101i	−0.0295569	−	0.00717043i
$747$	36858.7	+	7103.93i	1.80534	+	0.347951i
$748$	−5645.33	−	4891.71i	−0.275954	−	0.239116i
$749$	2573.33	−	2474.59i	0.125537	−	0.120720i
$750$	9858.11	−	4502.05i	0.479956	−	0.219189i
$751$	4818.39	−	9346.38i	0.234122	−	0.454133i	−0.742281	−	0.670088i	$-0.766256\pi$
$751$	4818.39	−	9346.38i	0.234122	−	0.454133i	0.976403	+	0.215955i	$0.0692865\pi$
$752$	4971.62	+	5214.09i	0.241086	+	0.252843i
$753$	600.298	−	1499.47i	0.0290519	−	0.0725682i
$754$	−251.587	−	2634.74i	−0.0121515	−	0.127257i
$755$	136.423	−	948.842i	0.00657608	−	0.0457376i
$756$	6518.54	+	14114.8i	0.313594	+	0.679036i
$757$	−23162.6	+	20070.5i	−1.11210	+	0.963640i	−0.999550	−	0.0300061i	$-0.990447\pi$
$757$	−23162.6	+	20070.5i	−1.11210	+	0.963640i	−0.112550	+	0.993646i	$0.535902\pi$
$758$	−25861.4	+	14931.1i	−1.23922	+	0.715462i
$759$	−41001.6	−	12183.6i	−1.96082	−	0.582658i
$760$	−784.131	+	1358.16i	−0.0374256	+	0.0648230i
$761$	27388.8	+	9479.37i	1.30466	+	0.451547i	0.888972	−	0.457961i	$-0.151420\pi$
$761$	27388.8	+	9479.37i	1.30466	+	0.451547i	0.415686	+	0.909508i	$0.363541\pi$
$762$	−23309.5	+	36270.2i	−1.10815	+	1.72432i
$763$	13848.9	−	16120.2i	0.657095	−	0.764861i
$764$	8053.80	+	3678.04i	0.381382	+	0.174171i
$765$	−1360.72	+	1070.08i	−0.0643097	+	0.0505737i
$766$	1936.23	−	1846.19i	0.0913299	−	0.0870829i
$767$	−3112.75	−	65344.6i	−0.146538	−	3.07622i
$768$	−36833.9	−	26229.3i	−1.73063	−	1.23238i
$769$	−29790.8	+	8747.38i	−1.39699	+	0.410193i	−0.891649	−	0.452727i	$-0.850451\pi$
$769$	−29790.8	+	8747.38i	−1.39699	+	0.410193i	−0.505340	+	0.862920i	$0.668633\pi$
$770$	1020.87	−	4287.40i	0.0477788	−	0.200659i
$771$	−25928.5	+	29923.0i	−1.21114	+	1.39773i
$772$	11676.8	+	11133.8i	0.544376	+	0.519062i
$773$	−13374.9	−	1277.14i	−0.622329	−	0.0594252i	−0.220872	−	0.975303i	$-0.570890\pi$
$773$	−13374.9	−	1277.14i	−0.622329	−	0.0594252i	−0.401457	+	0.915878i	$0.631496\pi$
$774$	65089.0	−	3100.57i	3.02271	−	0.143989i
$775$	−24234.5	+	5879.23i	−1.12326	+	0.272501i
$776$	−1470.07	−	10224.6i	−0.0680058	−	0.472990i
$777$	8227.46	−	16126.7i	0.379869	−	0.744583i
$778$	−22594.2	−	3248.55i	−1.04118	−	0.149699i
$779$	−53772.2	−	2561.49i	−2.47316	−	0.117811i
$780$	−5406.11	+	1041.94i	−0.248166	+	0.0478301i
$781$	3232.65	+	1866.37i	0.148109	+	0.0855109i
$782$	−2748.37	+	11170.8i	−0.125680	+	0.510828i
$783$			1278.90i			0.0583704i
$784$	10740.5	−	24056.4i	0.489270	−	1.09586i
$785$	−1346.55	−	865.372i	−0.0612233	−	0.0393458i
$786$	−2780.74	+	1113.24i	−0.126190	+	0.0505190i
$787$	4634.39	+	6508.09i	0.209909	+	0.294775i	0.906085	−	0.423095i	$-0.139056\pi$
$787$	4634.39	+	6508.09i	0.209909	+	0.294775i	−0.696177	+	0.717871i	$0.745117\pi$
$788$	−7570.40	−	3030.73i	−0.342239	−	0.137012i
$789$	−1980.17	−	8162.36i	−0.0893483	−	0.368299i
$790$	−1558.31	−	2424.78i	−0.0701801	−	0.109202i
$791$	14987.9	−	6074.17i	0.673716	−	0.273037i
$792$	−4702.75	−	16016.1i	−0.210991	−	0.718569i
$793$	10104.5	−	52427.1i	0.452486	−	2.34772i
$794$	−16594.7	+	5743.47i	−0.741716	+	0.256710i
$795$	522.991	−	2155.80i	0.0233316	−	0.0961740i
$796$	10759.1	−	15109.1i	0.479079	−	0.672772i
$797$	−12101.0	+	7776.87i	−0.537818	+	0.345635i	−0.781185	−	0.624300i	$-0.785384\pi$
$797$	−12101.0	+	7776.87i	−0.537818	+	0.345635i	0.243367	+	0.969934i	$0.421748\pi$
$798$	77895.5	−	15356.2i	3.45548	−	0.681206i
$799$	2607.81	−	374.946i	0.115466	−	0.0166015i
$800$	26881.3	−	2566.85i	1.18800	−	0.113440i
$801$	−37482.2	−	29476.3i	−1.65339	−	1.30024i
$802$	3929.99	+	7623.11i	0.173033	+	0.335638i
$803$	−11508.4	+	33251.4i	−0.505758	+	1.46129i
$804$	−6867.71			−0.301250
$805$	−2767.87	+	674.415i	−0.121186	+	0.0295280i
$806$	60843.1			2.65894
$807$	−4326.14	+	12499.6i	−0.188708	+	0.545236i
$808$	95.8406	+	185.905i	0.00417285	+	0.00809419i
$809$	21458.0	+	16874.8i	0.932539	+	0.733357i	0.963932	−	0.266150i	$-0.0857518\pi$
$809$	21458.0	+	16874.8i	0.932539	+	0.733357i	−0.0313925	+	0.999507i	$0.509994\pi$
$810$	158.997	−	15.1824i	0.00689703	−	0.000658587i
$811$	14849.1	−	2134.97i	0.642937	−	0.0924403i	0.186868	−	0.982385i	$-0.440166\pi$
$811$	14849.1	−	2134.97i	0.642937	−	0.0924403i	0.456069	+	0.889945i	$0.349257\pi$
$812$	−711.365	+	621.704i	−0.0307438	+	0.0268689i
$813$	30886.8	−	19849.7i	1.33241	−	0.856286i
$814$	11467.6	−	16104.0i	0.493783	−	0.693421i
$815$	550.076	−	2267.44i	0.0236421	−	0.0974541i
$816$	−17202.3	+	5953.77i	−0.737991	+	0.255421i
$817$	10283.6	−	53356.6i	0.440366	−	2.28484i
$818$	6220.81	+	21186.1i	0.265899	+	0.905569i
$819$	−52195.4	−	40689.7i	−2.22693	−	1.73604i
$820$	−1716.39	−	2670.76i	−0.0730963	−	0.113740i
$821$	6864.70	+	28296.7i	0.291815	+	1.20288i	0.909249	+	0.416253i	$0.136657\pi$
$821$	6864.70	+	28296.7i	0.291815	+	1.20288i	−0.617434	+	0.786623i	$0.711828\pi$
$822$	3255.34	+	1303.24i	0.138130	+	0.0552990i
$823$	−5126.50	−	7199.17i	−0.217131	−	0.304918i	0.691616	−	0.722265i	$-0.256899\pi$
$823$	−5126.50	−	7199.17i	−0.217131	−	0.304918i	−0.908747	+	0.417348i	$0.862960\pi$
$824$	11961.0	−	4788.45i	0.505680	−	0.202444i
$825$	40143.1	+	25798.4i	1.69406	+	1.08871i
$826$	−43585.5	+	34576.3i	−1.83600	+	1.45649i
$827$		−	21425.1i		−	0.900876i	−0.892808	−	0.450438i	$-0.851268\pi$
$827$		−	21425.1i		−	0.900876i	0.892808	−	0.450438i	$-0.148732\pi$
$828$	20478.1	−	19399.5i	0.859496	−	0.814227i
$829$	−2843.89	−	1641.92i	−0.119146	−	0.0687892i	0.439242	−	0.898369i	$-0.355247\pi$
$829$	−2843.89	−	1641.92i	−0.119146	−	0.0687892i	−0.558389	+	0.829579i	$0.688580\pi$
$830$	4318.57	−	832.335i	0.180602	−	0.0348082i
$831$	−64807.2	−	3087.15i	−2.70534	−	0.128871i
$832$	−16033.9	−	2305.33i	−0.668120	−	0.0960612i
$833$	−4887.78	−	8302.38i	−0.203303	−	0.345331i
$834$	6732.58	+	46826.1i	0.279533	+	1.94419i
$835$	−1138.74	+	276.256i	−0.0471950	+	0.0114494i
$836$	36348.7	−	1731.50i	1.50376	−	0.0716330i
$837$	−29266.3	−	2794.59i	−1.20859	−	0.115407i
$838$	10481.9	+	9994.47i	0.432090	+	0.411997i
$839$	−28642.8	+	33055.5i	−1.17862	+	1.36019i	−0.259724	+	0.965683i	$0.583632\pi$
$839$	−28642.8	+	33055.5i	−1.17862	+	1.36019i	−0.918891	+	0.394511i	$0.870914\pi$
$840$	−1301.42	−	1230.41i	−0.0534564	−	0.0505394i
$841$	23326.5	−	6849.28i	0.956436	−	0.280835i
$842$	4237.24	+	3017.32i	0.173426	+	0.123496i
$843$	3192.54	+	67019.6i	0.130435	+	2.73817i
$844$	−11724.6	+	11179.4i	−0.478171	+	0.455935i
$845$	4758.82	−	3742.38i	0.193738	−	0.152357i
$846$	−14000.6	−	6393.84i	−0.568970	−	0.259840i
$847$	13651.3	−	4789.72i	0.553796	−	0.194305i
$848$	7828.73	−	12181.7i	0.317028	−	0.493305i
$849$	4040.68	+	1398.49i	0.163340	+	0.0565325i
$850$	6416.90	−	11114.4i	0.258938	−	0.448495i
$851$	−12643.1	−	1859.65i	−0.509284	−	0.0749093i
$852$	−3434.30	+	1982.79i	−0.138095	+	0.0797293i
$853$	540.395	−	468.255i	0.0216914	−	0.0187957i	−0.643948	−	0.765070i	$-0.722705\pi$
$853$	540.395	−	468.255i	0.0216914	−	0.0187957i	0.665639	+	0.746274i	$0.268159\pi$
$854$	−41223.0	+	19037.7i	−1.65178	+	0.762829i
$855$	1200.15	−	8347.23i	0.0480050	−	0.333882i
$856$	−150.593	−	1577.08i	−0.00601305	−	0.0629715i
$857$	17966.5	−	44878.3i	0.716133	−	1.78881i	0.109260	−	0.994013i	$-0.465152\pi$
$857$	17966.5	−	44878.3i	0.716133	−	1.78881i	0.606872	−	0.794799i	$-0.292424\pi$
$858$	−80341.9	−	84260.1i	−3.19677	−	3.35267i
$859$	11768.3	−	22827.3i	0.467438	−	0.906702i	−0.530808	−	0.847492i	$-0.678111\pi$
$859$	11768.3	−	22827.3i	0.467438	−	0.906702i	0.998246	−	0.0592102i	$-0.0188582\pi$
$860$	2914.95	−	1331.21i	0.115580	−	0.0527837i
$861$	17070.0	−	59061.0i	0.675662	−	2.33774i
$862$	−6751.10	−	5849.86i	−0.266756	−	0.231145i
$863$	33423.7	+	6441.89i	1.31837	+	0.254095i	0.799453	−	0.600728i	$-0.205123\pi$
$863$	33423.7	+	6441.89i	1.31837	+	0.254095i	0.518919	+	0.854824i	$0.326335\pi$
$864$	30937.9	+	7505.45i	1.21820	+	0.295533i
$865$	−232.797	+	2437.96i	−0.00915068	+	0.0958302i
$866$	−17414.6	−	8977.83i	−0.683338	−	0.352285i
$867$	9803.49	−	33387.6i	0.384018	−	1.30785i
$868$	−12672.6	−	17637.4i	−0.495550	−	0.689692i
$869$	10627.5	−	23271.0i	0.414861	−	0.908419i
$870$	143.145	+	357.560i	0.00557825	+	0.0139338i
$871$	10109.3	−	5211.72i	0.393274	−	0.202747i
$872$	−1784.78	−	9260.34i	−0.0693124	−	0.359627i
$873$	27773.2	+	48104.5i	1.07672	+	1.86494i
$874$	−27863.7	−	48624.6i	−1.07838	−	1.88187i
$875$	6400.56	+	277.685i	0.247290	+	0.0107285i
$876$	−24479.7	−	28251.1i	−0.944170	−	1.08963i
$877$	−252.999	+	5311.10i	−0.00974134	+	0.204496i	0.988750	+	0.149580i	$0.0477921\pi$
$877$	−252.999	+	5311.10i	−0.00974134	+	0.204496i	−0.998491	+	0.0549160i	$0.982511\pi$
$878$	4415.56	−	5614.84i	0.169724	−	0.215822i
$879$	17680.6	−	12590.3i	0.678443	−	0.483117i
$880$	−3042.99	−	3869.48i	−0.116567	−	0.148228i
$881$	3154.07	+	926.119i	0.120617	+	0.0354163i	0.341484	−	0.939888i	$-0.389071\pi$
$881$	3154.07	+	926.119i	0.120617	+	0.0354163i	−0.220867	+	0.975304i	$0.570889\pi$
$882$	−2200.96	+	56240.5i	−0.0840251	+	2.14707i
$883$	−8806.52	−	19283.6i	−0.335632	−	0.734931i	0.664289	−	0.747475i	$-0.268734\pi$
$883$	−8806.52	−	19283.6i	−0.335632	−	0.734931i	−0.999921	+	0.0125442i	$0.996007\pi$
$884$	−9069.40	+	9511.72i	−0.345065	+	0.361893i
$885$	3113.58	+	8996.09i	0.118262	+	0.341695i
$886$	8985.83	+	25962.9i	0.340728	+	0.984469i
$887$	17352.3	−	18198.6i	0.656859	−	0.688894i	−0.308082	−	0.951360i	$-0.599687\pi$
$887$	17352.3	−	18198.6i	0.656859	−	0.688894i	0.964941	+	0.262466i	$0.0845356\pi$
$888$	−3337.38	−	7307.84i	−0.126121	−	0.276166i
$889$	−22018.3	+	12837.1i	−0.830674	+	0.484300i
$890$	−5360.61	−	1574.02i	−0.201897	−	0.0592823i
$891$	876.324	+	1114.34i	0.0329495	+	0.0418987i
$892$	5581.69	−	3974.70i	0.209517	−	0.149196i
$893$	−7933.92	+	10088.8i	−0.297311	+	0.378062i
$894$	715.578	−	15021.8i	0.0267701	−	0.561974i
$895$	−1412.53	−	1630.14i	−0.0527549	−	0.0608824i
$896$	−8656.37	−	16617.5i	−0.322756	−	0.619590i
$897$	−24844.3	+	71037.3i	−0.924779	+	2.64422i
$898$	22289.3	+	38606.2i	0.828289	+	1.43464i
$899$	−338.096	−	1754.21i	−0.0125430	−	0.0650790i
$900$	−27970.7	+	14419.9i	−1.03595	+	0.534070i
$901$	−1968.11	−	4916.11i	−0.0727718	−	0.181775i
$902$	27888.7	−	61067.7i	1.02948	−	2.25425i
$903$	56556.5	+	25539.1i	2.08426	+	0.941181i
$904$	2021.84	−	6885.74i	0.0743864	−	0.253337i
$905$	1421.28	+	732.719i	0.0522043	+	0.0269132i
$906$	−2047.08	+	21438.0i	−0.0750659	+	0.786125i
$907$	−1742.23	−	422.660i	−0.0637814	−	0.0154732i	0.203741	−	0.979025i	$-0.434690\pi$
$907$	−1742.23	−	422.660i	−0.0637814	−	0.0154732i	−0.267523	+	0.963552i	$0.586205\pi$
$908$	−14327.2	−	2761.34i	−0.523639	−	0.100923i
$909$	−849.991	−	736.521i	−0.0310147	−	0.0268744i
$910$	−7449.31	−	2153.03i	−0.271365	−	0.0784310i
$911$	−25978.6	+	11864.1i	−0.944798	+	0.431475i	−0.827402	−	0.561610i	$-0.810182\pi$
$911$	−25978.6	+	11864.1i	−0.944798	+	0.431475i	−0.117396	+	0.993085i	$0.537455\pi$
$912$	40635.3	−	78821.5i	1.47541	−	2.86189i
$913$	26937.8	+	28251.6i	0.976464	+	1.02409i
$914$	6521.15	−	16289.0i	0.235996	−	0.589490i
$915$	738.542	+	7734.36i	0.0266836	+	0.279443i
$916$	722.310	−	5023.78i	0.0260544	−	0.181212i
$917$	−1763.35	−	160.834i	−0.0635017	−	0.00579192i
$918$	11434.6	−	9908.10i	0.411108	−	0.356227i
$919$	−4221.55	+	2437.31i	−0.151530	+	0.0874859i	−0.573848	−	0.818962i	$-0.694550\pi$
$919$	−4221.55	+	2437.31i	−0.151530	+	0.0874859i	0.422318	+	0.906448i	$0.361217\pi$
$920$	−528.890	+	1148.25i	−0.0189533	+	0.0411484i
$921$	6758.85	−	11706.7i	0.241815	−	0.418836i
$922$	−45461.9	−	15734.5i	−1.62387	−	0.562026i
$923$	3550.63	−	5524.89i	0.126620	−	0.197025i
$924$	−7691.67	+	40839.8i	−0.273850	+	1.45404i
$925$	12968.1	+	5922.34i	0.460961	+	0.210514i
$926$	−20331.3	+	15988.7i	−0.721522	+	0.567411i
$927$	−50140.9	+	47809.2i	−1.77653	+	1.69392i
$928$	92.0475	+	1932.32i	0.00325604	+	0.0683528i
$929$	22296.7	+	15877.4i	0.787441	+	0.560734i	0.901520	−	0.432738i	$-0.142452\pi$
$929$	22296.7	+	15877.4i	0.787441	+	0.560734i	−0.114079	+	0.993472i	$0.536392\pi$
$930$	−8495.19	+	2494.41i	−0.299536	+	0.0879516i
$931$	45143.7	+	12840.3i	1.58918	+	0.452014i
$932$	2993.44	−	3454.61i	0.105208	−	0.121416i
$933$	63666.5	+	60705.9i	2.23403	+	2.13014i
$934$	−48954.8	−	4674.61i	−1.71504	−	0.163767i
$935$	−1798.16	+	85.6569i	−0.0628942	+	0.00299602i
$936$	−28540.7	+	6923.91i	−0.996670	+	0.241789i
$937$	1980.91	+	13777.6i	0.0690647	+	0.480356i	0.994772	+	0.102116i	$0.0325613\pi$
$937$	1980.91	+	13777.6i	0.0690647	+	0.480356i	−0.925708	+	0.378239i	$0.876530\pi$
$938$	−8616.10	−	4395.74i	−0.299921	−	0.153013i
$939$	13208.5	+	1899.09i	0.459044	+	0.0660006i
$940$	−756.053	−	36.0153i	−0.0262338	−	0.00124967i
$941$	−5409.16	+	1042.53i	−0.187390	+	0.0361164i	−0.282083	−	0.959390i	$-0.591025\pi$
$941$	−5409.16	+	1042.53i	−0.187390	+	0.0361164i	0.0946929	+	0.995507i	$0.469813\pi$
$942$	31141.7	+	17979.7i	1.07713	+	0.621879i
$943$	−43353.0	+	1924.37i	−1.49710	+	0.0664540i
$944$			62140.9i			2.14249i
$945$	3484.32	+	1377.79i	0.119942	+	0.0474280i
$946$	57007.3	+	36636.4i	1.95927	+	1.25915i
$947$	2954.25	−	1182.71i	0.101373	−	0.0405837i	−0.320422	−	0.947275i	$-0.603825\pi$
$947$	2954.25	−	1182.71i	0.101373	−	0.0405837i	0.421795	+	0.906691i	$0.361400\pi$
$948$	15765.2	+	22139.1i	0.540116	+	0.758487i
$949$	57473.4	+	23008.9i	1.96593	+	0.787038i
$950$	14739.8	+	60758.4i	0.503393	+	2.07501i
$951$	8570.40	+	13335.8i	0.292234	+	0.454724i
$952$	−4234.32	−	590.479i	−0.144154	−	0.0201024i
$953$	14024.1	+	47761.6i	0.476689	+	1.62345i	0.749936	+	0.661510i	$0.230084\pi$
$953$	14024.1	+	47761.6i	0.476689	+	1.62345i	−0.273247	+	0.961944i	$0.588098\pi$
$954$	−5854.66	+	30376.8i	−0.198691	+	1.03091i
$955$	2016.40	−	697.881i	0.0683236	−	0.0236470i
$956$	5184.54	−	21371.0i	0.175398	−	0.722998i
$957$	−1982.91	+	2784.61i	−0.0669784	+	0.0940580i
$958$	5385.44	−	3461.01i	0.181624	−	0.116723i
$959$	1364.08	+	1560.81i	0.0459318	+	0.0525559i
$960$	2333.24	−	335.469i	0.0784427	−	0.0112784i
$961$	11226.0	−	1071.95i	0.376824	−	0.0359823i
$962$	−27341.5	−	21501.6i	−0.916347	−	0.720623i
$963$	3903.67	+	7572.06i	0.130627	+	0.253381i
$964$	5951.33	−	17195.2i	0.198838	−	0.574503i
$965$	3888.26			0.129707
$966$	61390.5	−	18092.7i	2.04473	−	0.602612i
$967$	−41241.9			−1.37151			−0.685755	−	0.727832i	$-0.740528\pi$
$967$	−41241.9			−1.37151			−0.685755	+	0.727832i	$0.740528\pi$
$968$	2099.75	−	6066.83i	0.0697196	−	0.201442i
$969$	−14860.1	−	28824.7i	−0.492649	−	0.955605i
$970$	5115.72	+	4023.05i	0.169336	+	0.133167i
$971$	20386.1	−	1946.63i	0.673759	−	0.0643362i	0.247432	−	0.968905i	$-0.420413\pi$
$971$	20386.1	−	1946.63i	0.673759	−	0.0643362i	0.426327	+	0.904569i	$0.359807\pi$
$972$	20944.4	−	3011.36i	0.691145	−	0.0993717i
$973$	−9034.56	+	26466.4i	−0.297672	+	0.872019i
$974$	16068.8	−	10326.8i	0.528623	−	0.339725i
$975$	48699.3	−	68388.6i	1.59962	−	2.24635i
$976$	−11956.9	+	49287.1i	−0.392144	+	1.61644i
$977$	−3411.10	+	1180.59i	−0.111700	+	0.0386597i	−0.382346	−	0.924019i	$-0.624884\pi$
$977$	−3411.10	+	1180.59i	−0.111700	+	0.0386597i	0.270646	+	0.962679i	$0.412763\pi$
$978$	−9919.99	+	51469.8i	−0.324342	+	1.68284i
$979$	−13970.6	−	47579.4i	−0.456079	−	1.55326i
$980$	927.445	+	2607.87i	0.0302308	+	0.0850055i
$981$	27417.2	+	42662.0i	0.892317	+	1.38847i
$982$	5699.11	+	23492.1i	0.185200	+	0.763403i
$983$	20924.0	+	8376.69i	0.678912	+	0.271796i	0.685382	−	0.728184i	$-0.259635\pi$
$983$	20924.0	+	8376.69i	0.678912	+	0.271796i	−0.00646973	+	0.999979i	$0.502059\pi$
$984$	−15824.8	−	22222.8i	−0.512679	−	0.719956i
$985$	−1824.43	+	730.392i	−0.0590165	+	0.0236266i
$986$	773.447	+	497.064i	0.0249813	+	0.0160545i
$987$	−9109.46	−	11483.0i	−0.293776	−	0.370323i
$988$		−	64025.0i		−	2.06164i
$989$	4305.03	−	43591.0i	0.138414	−	1.40153i
$990$	9107.77	+	5258.37i	0.292388	+	0.168810i
$991$	19358.8	−	3731.10i	0.620538	−	0.119599i	0.130714	−	0.991420i	$-0.458273\pi$
$991$	19358.8	−	3731.10i	0.620538	−	0.119599i	0.489824	+	0.871821i	$0.337061\pi$
$992$	−44420.3	−	2116.00i	−1.42172	−	0.0677248i
$993$	−62498.6	−	8985.94i	−1.99731	−	0.287170i
$994$	−5577.72	+	289.422i	−0.177982	+	0.00923531i
$995$	−636.158	−	4424.58i	−0.0202689	−	0.140973i
$996$	−40301.8	+	9777.12i	−1.28214	+	0.311044i
$997$	2557.90	−	121.848i	0.0812531	−	0.00387056i	−0.00691597	−	0.999976i	$-0.502201\pi$
$997$	2557.90	−	121.848i	0.0812531	−	0.00387056i	0.0881691	+	0.996106i	$0.471898\pi$
$998$	−1237.63	−	118.180i	−0.0392551	−	0.00374841i
$999$	12164.0	+	11598.4i	0.385237	+	0.367323i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	161.4.o.a.10.38	✓	920
7.5	odd	6	inner	161.4.o.a.33.9	yes	920
23.7	odd	22	inner	161.4.o.a.122.9	yes	920
161.145	even	66	inner	161.4.o.a.145.38	yes	920

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
161.4.o.a.10.38	✓	920	1.1	even	1	trivial
161.4.o.a.33.9	yes	920	7.5	odd	6	inner
161.4.o.a.122.9	yes	920	23.7	odd	22	inner
161.4.o.a.145.38	yes	920	161.145	even	66	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 161 = 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	161.o (of order \(66\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(1.21441 - 3.50881i) q^{2} +(3.86635 + 7.49966i) q^{3} +(-4.54856 - 3.57703i) q^{4} +(-1.38822 + 0.132559i) q^{5} +(31.0103 - 4.45860i) q^{6} +(17.5272 + 5.98308i) q^{7} +(6.91384 - 4.44325i) q^{8} +(-25.6348 + 35.9990i) q^{9} +(-1.22075 + 5.03200i) q^{10} +(-43.4305 + 15.0315i) q^{11} +(9.24019 - 47.9427i) q^{12} +(22.7808 + 77.5842i) q^{13} +(42.2788 - 54.2338i) q^{14} +(-6.36151 - 9.89870i) q^{15} +(-18.1082 - 74.6430i) q^{16} +(-26.0763 - 10.4394i) q^{17} +(95.1827 + 133.665i) q^{18} +(127.033 - 50.8563i) q^{19} +(6.78859 + 4.36276i) q^{20} +(22.8951 + 154.581i) q^{21} +170.644i q^{22} +(98.2055 - 50.2263i) q^{23} +(60.0542 + 34.6723i) q^{24} +(-120.831 + 23.2884i) q^{25} +(299.894 + 14.2857i) q^{26} +(-143.596 - 20.6461i) q^{27} +(-58.3219 - 89.9096i) q^{28} +(-1.25458 - 8.72581i) q^{29} +(-42.4582 + 10.3002i) q^{30} +(202.423 - 9.64259i) q^{31} +(-218.449 - 20.8594i) q^{32} +(-280.648 - 267.598i) q^{33} +(-68.2973 + 78.8193i) q^{34} +(-25.1248 - 5.98246i) q^{35} +(245.371 - 72.0474i) q^{36} +(-94.3718 - 67.2019i) q^{37} +(-24.1750 - 507.495i) q^{38} +(-493.777 + 470.816i) q^{39} +(-9.00896 + 7.08473i) q^{40} +(-357.866 - 163.432i) q^{41} +(570.199 + 107.390i) q^{42} +(214.695 - 334.072i) q^{43} +(251.314 + 86.9807i) q^{44} +(30.8148 - 53.3729i) q^{45} +(-56.9728 - 405.580i) q^{46} +(-81.2312 + 46.8988i) q^{47} +(489.785 - 424.401i) q^{48} +(271.406 + 209.733i) q^{49} +(-65.0247 + 452.257i) q^{50} +(-22.5282 - 235.926i) q^{51} +(173.901 - 434.384i) q^{52} +(130.099 + 136.444i) q^{53} +(-246.829 + 478.781i) q^{54} +(58.2988 - 26.6242i) q^{55} +(147.765 - 36.5118i) q^{56} +(872.558 + 756.076i) q^{57} +(-32.1408 - 6.19464i) q^{58} +(-786.235 - 190.739i) q^{59} +(-6.47221 + 67.7801i) q^{60} +(-586.902 - 302.569i) q^{61} +(211.991 - 721.975i) q^{62} +(-664.691 + 477.587i) q^{63} +(-83.2211 + 182.229i) q^{64} +(-41.9094 - 104.685i) q^{65} +(-1279.77 + 659.769i) q^{66} +(-26.6200 - 138.118i) q^{67} +(81.2678 + 140.760i) q^{68} +(756.377 + 542.316i) q^{69} +(-51.5032 + 80.8931i) q^{70} +(-53.1880 - 61.3823i) q^{71} +(-17.2820 + 362.793i) q^{72} +(473.277 - 601.820i) q^{73} +(-350.405 + 249.522i) q^{74} +(-641.831 - 816.155i) q^{75} +(-759.730 - 223.077i) q^{76} +(-851.150 + 3.61107i) q^{77} +(1052.36 + 2304.34i) q^{78} +(-384.137 + 402.871i) q^{79} +(35.0329 + 101.221i) q^{80} +(-10.0888 - 29.1497i) q^{81} +(-1008.05 + 1057.21i) q^{82} +(-352.844 - 772.621i) q^{83} +(448.800 - 785.016i) q^{84} +(37.5837 + 11.0356i) q^{85} +(-911.467 - 1159.02i) q^{86} +(60.5900 - 43.1459i) q^{87} +(-233.483 + 296.898i) q^{88} +(-51.3400 + 1077.76i) q^{89} +(-149.854 - 172.940i) q^{90} +(-64.9090 + 1496.13i) q^{91} +(-626.354 - 122.826i) q^{92} +(854.953 + 1480.82i) q^{93} +(65.9112 + 341.980i) q^{94} +(-169.609 + 87.4393i) q^{95} +(-688.162 - 1718.94i) q^{96} +(522.129 - 1143.30i) q^{97} +(1065.51 - 697.609i) q^{98} +(572.215 - 1948.79i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 920 q - 11 q^{2} - 27 q^{3} + 157 q^{4} - 33 q^{5} - 22 q^{7} - 104 q^{8} - 359 q^{9} - 33 q^{10} - 11 q^{11} - 75 q^{12} - 22 q^{14} - 44 q^{15} + 1157 q^{16} - 33 q^{17} + 179 q^{18} - 33 q^{19} - 1342 q^{21}+ \cdots + 23056 q^{99}+O(q^{100}) \) 920 * q - 11 * q^2 - 27 * q^3 + 157 * q^4 - 33 * q^5 - 22 * q^7 - 104 * q^8 - 359 * q^9 - 33 * q^10 - 11 * q^11 - 75 * q^12 - 22 * q^14 - 44 * q^15 + 1157 * q^16 - 33 * q^17 + 179 * q^18 - 33 * q^19 - 1342 * q^21 - 494 * q^23 - 570 * q^24 + 1269 * q^25 - 609 * q^26 + 682 * q^28 - 348 * q^29 + 1485 * q^30 + 105 * q^31 - 1017 * q^32 - 33 * q^33 + 966 * q^35 + 4354 * q^36 - 1199 * q^37 - 33 * q^38 + 5 * q^39 - 33 * q^40 - 3652 * q^42 - 3476 * q^43 + 3388 * q^44 + 477 * q^46 - 1188 * q^47 - 1408 * q^49 - 3234 * q^50 + 649 * q^51 + 1911 * q^52 - 11 * q^53 - 1659 * q^54 + 9361 * q^56 + 7612 * q^57 - 4198 * q^58 - 915 * q^59 - 11 * q^60 - 33 * q^61 - 2112 * q^63 - 5064 * q^64 - 4323 * q^65 + 858 * q^66 - 11 * q^67 - 2478 * q^70 + 1732 * q^71 - 9181 * q^72 - 3987 * q^73 + 2354 * q^74 + 2871 * q^75 + 2164 * q^77 - 24268 * q^78 + 1837 * q^79 + 12144 * q^80 + 3035 * q^81 + 5823 * q^82 + 11330 * q^84 + 13676 * q^85 + 5225 * q^86 - 24657 * q^87 - 12342 * q^88 - 33 * q^89 + 9810 * q^92 - 1440 * q^93 - 15858 * q^94 - 4187 * q^95 + 2439 * q^96 - 11284 * q^98 + 23056 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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