LMFDB - Embedded newform 201.4.m.b.4.18

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [201,4,Mod(4,201)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(201, base_ring=CyclotomicField(66))

chi = DirichletCharacter(H, H._module([0, 2]))

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

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

chi := DirichletCharacter("201.4");

S:= CuspForms(chi, 4);

N := Newforms(S);

Level:	$ N $	$=$	$ 201 = 3 \cdot 67 $
Weight:	$ k $	$=$	$ 4 $
Character orbit:	$[\chi]$	$=$	201.m (of order $33$, 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:	$11.8593839112$
Analytic rank:	$0$
Dimension:	$360$
Relative dimension:	$18$ over $\Q(\zeta_{33})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label			4.18
Character	$\chi$	$=$	201.4
Dual form			201.4.m.b.151.18

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(5.26356 + 0.502609i) q^{2} +(-2.52376 - 1.62192i) q^{3} +(19.5970 + 3.77701i) q^{4} +(-2.69847 - 18.7683i) q^{5} +(-12.4688 - 9.80555i) q^{6} +(-5.28570 + 7.42273i) q^{7} +(60.6650 + 17.8129i) q^{8} +(3.73874 + 8.18669i) q^{9} +O(q^{10})$	\(q+(5.26356 + 0.502609i) q^{2} +(-2.52376 - 1.62192i) q^{3} +(19.5970 + 3.77701i) q^{4} +(-2.69847 - 18.7683i) q^{5} +(-12.4688 - 9.80555i) q^{6} +(-5.28570 + 7.42273i) q^{7} +(60.6650 + 17.8129i) q^{8} +(3.73874 + 8.18669i) q^{9} +(-4.77045 - 100.144i) q^{10} +(12.5018 - 9.83149i) q^{11} +(-43.3321 - 41.3171i) q^{12} +(18.3706 - 75.7246i) q^{13} +(-31.5523 + 36.4133i) q^{14} +(-23.6304 + 51.7433i) q^{15} +(162.136 + 64.9097i) q^{16} +(4.08631 - 0.787571i) q^{17} +(15.5643 + 44.9702i) q^{18} +(61.5587 + 86.4471i) q^{19} +(18.0060 - 377.993i) q^{20} +(25.3789 - 10.1602i) q^{21} +(70.7451 - 45.4651i) q^{22} +(-48.1676 + 24.8321i) q^{23} +(-124.213 - 143.349i) q^{24} +(-225.029 + 66.0744i) q^{25} +(134.754 - 389.347i) q^{26} +(3.84250 - 26.7252i) q^{27} +(-131.620 + 125.499i) q^{28} +(-59.4128 - 102.906i) q^{29} +(-150.386 + 260.477i) q^{30} +(71.0240 + 292.765i) q^{31} +(371.210 + 191.372i) q^{32} +(-47.4974 + 4.53545i) q^{33} +(21.9043 - 2.09161i) q^{34} +(153.575 + 79.1734i) q^{35} +(42.3468 + 174.556i) q^{36} +(-40.2068 + 69.6403i) q^{37} +(280.569 + 485.959i) q^{38} +(-169.182 + 161.315i) q^{39} +(170.614 - 1186.64i) q^{40} +(-60.2152 + 173.980i) q^{41} +(138.690 - 40.7231i) q^{42} +(274.724 + 317.049i) q^{43} +(282.131 - 145.448i) q^{44} +(143.561 - 92.2610i) q^{45} +(-266.014 + 106.496i) q^{46} +(20.0870 - 421.678i) q^{47} +(-303.915 - 426.789i) q^{48} +(85.0260 + 245.667i) q^{49} +(-1217.66 + 234.685i) q^{50} +(-11.5902 - 4.64003i) q^{51} +(646.021 - 1414.59i) q^{52} +(-183.452 + 211.715i) q^{53} +(33.6575 - 138.738i) q^{54} +(-218.256 - 208.106i) q^{55} +(-452.877 + 356.147i) q^{56} +(-15.1489 - 318.015i) q^{57} +(-261.001 - 571.513i) q^{58} +(623.282 + 183.012i) q^{59} +(-658.519 + 924.761i) q^{60} +(346.356 + 272.377i) q^{61} +(226.693 + 1576.68i) q^{62} +(-80.5294 - 15.5208i) q^{63} +(682.321 + 438.501i) q^{64} +(-1470.79 - 140.443i) q^{65} -252.285 q^{66} +(-417.203 + 355.956i) q^{67} +83.0540 q^{68} +(161.839 + 15.4538i) q^{69} +(768.558 + 493.922i) q^{70} +(34.0353 + 6.55977i) q^{71} +(80.9821 + 563.243i) q^{72} +(-622.643 - 489.652i) q^{73} +(-246.633 + 346.347i) q^{74} +(675.087 + 198.223i) q^{75} +(879.853 + 1926.61i) q^{76} +(6.89594 + 144.764i) q^{77} +(-971.579 + 764.058i) q^{78} +(-760.007 - 724.666i) q^{79} +(780.721 - 3218.17i) q^{80} +(-53.0437 + 61.2157i) q^{81} +(-404.390 + 885.490i) q^{82} +(-1012.93 - 405.517i) q^{83} +(535.726 - 103.253i) q^{84} +(-25.8081 - 74.5676i) q^{85} +(1286.68 + 1806.88i) q^{86} +(-16.9618 + 356.073i) q^{87} +(933.546 - 373.736i) q^{88} +(456.177 - 293.167i) q^{89} +(802.013 - 413.466i) q^{90} +(464.982 + 536.617i) q^{91} +(-1037.73 + 304.706i) q^{92} +(295.594 - 854.064i) q^{93} +(317.668 - 2209.43i) q^{94} +(1456.35 - 1388.62i) q^{95} +(-626.454 - 1085.05i) q^{96} +(566.899 - 981.897i) q^{97} +(324.065 + 1335.81i) q^{98} +(127.228 + 65.5907i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 360 q - 2 q^{2} + 108 q^{3} + 90 q^{4} + 4 q^{5} - 27 q^{6} - 22 q^{7} + 183 q^{8} - 324 q^{9}+O(q^{10}) $ 360 * q - 2 * q^2 + 108 * q^3 + 90 * q^4 + 4 * q^5 - 27 * q^6 - 22 * q^7 + 183 * q^8 - 324 * q^9	\( 360 q - 2 q^{2} + 108 q^{3} + 90 q^{4} + 4 q^{5} - 27 q^{6} - 22 q^{7} + 183 q^{8} - 324 q^{9} + 19 q^{10} + 192 q^{11} - 105 q^{12} + 46 q^{13} - 14 q^{14} + 54 q^{15} + 346 q^{16} + 228 q^{17} - 18 q^{18} + 88 q^{19} + 180 q^{20} + 66 q^{21} - 247 q^{22} + 676 q^{23} + 144 q^{24} - 1120 q^{25} + 333 q^{26} + 972 q^{27} - 3894 q^{28} - 2210 q^{29} + 702 q^{30} + 96 q^{31} - 1970 q^{32} - 708 q^{33} - 26 q^{34} + 1272 q^{35} + 315 q^{36} - 3616 q^{37} - 20 q^{38} - 138 q^{39} - 5357 q^{40} + 288 q^{41} - 618 q^{42} - 1680 q^{43} + 2951 q^{44} + 36 q^{45} - 1125 q^{46} - 40 q^{47} - 1038 q^{48} - 4954 q^{49} - 3590 q^{50} - 90 q^{51} + 9120 q^{52} + 3896 q^{53} + 54 q^{54} - 1076 q^{55} + 3557 q^{56} + 660 q^{57} + 3232 q^{58} + 116 q^{59} + 3618 q^{60} - 672 q^{61} + 3882 q^{62} - 1584 q^{63} - 11581 q^{64} - 15380 q^{65} - 5166 q^{66} - 288 q^{67} + 13898 q^{68} - 1632 q^{69} - 5058 q^{70} - 15102 q^{71} - 2016 q^{72} - 146 q^{73} - 3531 q^{74} + 3360 q^{75} + 10770 q^{76} + 3594 q^{77} + 1905 q^{78} + 2852 q^{79} + 27997 q^{80} - 2916 q^{81} + 8824 q^{82} + 5278 q^{83} + 6765 q^{84} - 5290 q^{85} + 5973 q^{86} + 228 q^{87} + 13872 q^{88} + 1462 q^{89} + 171 q^{90} + 74 q^{91} - 3144 q^{92} + 3144 q^{93} + 3262 q^{94} + 1600 q^{95} - 855 q^{96} + 6626 q^{97} + 15491 q^{98} + 144 q^{99}+O(q^{100}) \) 360 * q - 2 * q^2 + 108 * q^3 + 90 * q^4 + 4 * q^5 - 27 * q^6 - 22 * q^7 + 183 * q^8 - 324 * q^9 + 19 * q^10 + 192 * q^11 - 105 * q^12 + 46 * q^13 - 14 * q^14 + 54 * q^15 + 346 * q^16 + 228 * q^17 - 18 * q^18 + 88 * q^19 + 180 * q^20 + 66 * q^21 - 247 * q^22 + 676 * q^23 + 144 * q^24 - 1120 * q^25 + 333 * q^26 + 972 * q^27 - 3894 * q^28 - 2210 * q^29 + 702 * q^30 + 96 * q^31 - 1970 * q^32 - 708 * q^33 - 26 * q^34 + 1272 * q^35 + 315 * q^36 - 3616 * q^37 - 20 * q^38 - 138 * q^39 - 5357 * q^40 + 288 * q^41 - 618 * q^42 - 1680 * q^43 + 2951 * q^44 + 36 * q^45 - 1125 * q^46 - 40 * q^47 - 1038 * q^48 - 4954 * q^49 - 3590 * q^50 - 90 * q^51 + 9120 * q^52 + 3896 * q^53 + 54 * q^54 - 1076 * q^55 + 3557 * q^56 + 660 * q^57 + 3232 * q^58 + 116 * q^59 + 3618 * q^60 - 672 * q^61 + 3882 * q^62 - 1584 * q^63 - 11581 * q^64 - 15380 * q^65 - 5166 * q^66 - 288 * q^67 + 13898 * q^68 - 1632 * q^69 - 5058 * q^70 - 15102 * q^71 - 2016 * q^72 - 146 * q^73 - 3531 * q^74 + 3360 * q^75 + 10770 * q^76 + 3594 * q^77 + 1905 * q^78 + 2852 * q^79 + 27997 * q^80 - 2916 * q^81 + 8824 * q^82 + 5278 * q^83 + 6765 * q^84 - 5290 * q^85 + 5973 * q^86 + 228 * q^87 + 13872 * q^88 + 1462 * q^89 + 171 * q^90 + 74 * q^91 - 3144 * q^92 + 3144 * q^93 + 3262 * q^94 + 1600 * q^95 - 855 * q^96 + 6626 * q^97 + 15491 * q^98 + 144 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/201\mathbb{Z}\right)^\times$.

$n$	$68$	$136$
$\chi(n)$	$1$	$e\left(\frac{1}{33}\right)$

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 $

$2$	5.26356	+	0.502609i	1.86095	+	0.177699i	0.964259	−	0.264961i	$-0.0853591\pi$
$2$	5.26356	+	0.502609i	1.86095	+	0.177699i	0.896690	+	0.442660i	$0.145965\pi$
$3$	−2.52376	−	1.62192i	−0.485698	−	0.312139i
$3$	−2.52376	−	1.62192i	−0.485698	−	0.312139i
$4$	19.5970	+	3.77701i	2.44962	+	0.472126i
$5$	−2.69847	−	18.7683i	−0.241358	−	1.67868i	−0.645324	−	0.763909i	$-0.723278\pi$
$5$	−2.69847	−	18.7683i	−0.241358	−	1.67868i	0.403966	−	0.914774i	$-0.367632\pi$
$6$	−12.4688	−	9.80555i	−0.848392	−	0.667183i
$7$	−5.28570	+	7.42273i	−0.285401	+	0.400790i	−0.932242	−	0.361835i	$-0.882150\pi$
$7$	−5.28570	+	7.42273i	−0.285401	+	0.400790i	0.646841	+	0.762625i	$0.276090\pi$
$8$	60.6650	+	17.8129i	2.68104	+	0.787224i
$9$	3.73874	+	8.18669i	0.138472	+	0.303211i
$10$	−4.77045	−	100.144i	−0.150855	−	3.16683i
$11$	12.5018	−	9.83149i	0.342675	−	0.269482i	−0.431958	−	0.901894i	$-0.642177\pi$
$11$	12.5018	−	9.83149i	0.342675	−	0.269482i	0.774633	+	0.632411i	$0.217935\pi$
$12$	−43.3321	−	41.3171i	−1.04241	−	0.993934i
$13$	18.3706	−	75.7246i	0.391929	−	1.61555i	−0.344325	−	0.938850i	$-0.611892\pi$
$13$	18.3706	−	75.7246i	0.391929	−	1.61555i	0.736255	−	0.676705i	$-0.236593\pi$
$14$	−31.5523	+	36.4133i	−0.602337	+	0.695134i
$15$	−23.6304	+	51.7433i	−0.406756	+	0.890670i
$16$	162.136	+	64.9097i	2.53338	+	1.01421i
$17$	4.08631	−	0.787571i	0.0582985	−	0.0112361i	−0.160019	−	0.987114i	$-0.551155\pi$
$17$	4.08631	−	0.787571i	0.0582985	−	0.0112361i	0.218317	+	0.975878i	$0.429943\pi$
$18$	15.5643	+	44.9702i	0.203808	+	0.588866i
$19$	61.5587	+	86.4471i	0.743291	+	1.04381i	0.997066	+	0.0765428i	$0.0243882\pi$
$19$	61.5587	+	86.4471i	0.743291	+	1.04381i	−0.253775	+	0.967263i	$0.581672\pi$
$20$	18.0060	−	377.993i	0.201314	−	4.22610i
$21$	25.3789	−	10.1602i	0.263721	−	0.105578i
$22$	70.7451	−	45.4651i	0.685587	−	0.440600i
$23$	−48.1676	+	24.8321i	−0.436680	+	0.225124i	−0.662526	−	0.749039i	$-0.730516\pi$
$23$	−48.1676	+	24.8321i	−0.436680	+	0.225124i	0.225846	+	0.974163i	$0.427485\pi$
$24$	−124.213	−	143.349i	−1.05645	−	1.21921i
$25$	−225.029	+	66.0744i	−1.80023	+	0.528596i
$26$	134.754	−	389.347i	1.01644	−	2.93682i
$27$	3.84250	−	26.7252i	0.0273885	−	0.190491i
$28$	−131.620	+	125.499i	−0.888349	+	0.847039i
$29$	−59.4128	−	102.906i	−0.380437	−	0.658936i	0.610688	−	0.791872i	$-0.290893\pi$
$29$	−59.4128	−	102.906i	−0.380437	−	0.658936i	−0.991125	+	0.132935i	$0.957560\pi$
$30$	−150.386	+	260.477i	−0.915223	+	1.58521i
$31$	71.0240	+	292.765i	0.411493	+	1.69620i	0.680242	+	0.732988i	$0.261875\pi$
$31$	71.0240	+	292.765i	0.411493	+	1.69620i	−0.268749	+	0.963210i	$0.586610\pi$
$32$	371.210	+	191.372i	2.05066	+	1.05719i
$33$	−47.4974	+	4.53545i	−0.250552	+	0.0239249i
$34$	21.9043	−	2.09161i	0.110487	−	0.0105502i
$35$	153.575	+	79.1734i	0.741683	+	0.382364i
$36$	42.3468	+	174.556i	0.196050	+	0.808128i
$37$	−40.2068	+	69.6403i	−0.178648	+	0.309427i	−0.941418	−	0.337243i	$-0.890506\pi$
$37$	−40.2068	+	69.6403i	−0.178648	+	0.309427i	0.762770	+	0.646670i	$0.223839\pi$
$38$	280.569	+	485.959i	1.19774	+	2.07455i
$39$	−169.182	+	161.315i	−0.694637	+	0.662335i
$40$	170.614	−	1186.64i	0.674409	−	4.69062i
$41$	−60.2152	+	173.980i	−0.229367	+	0.662711i	0.770320	+	0.637658i	$0.220097\pi$
$41$	−60.2152	+	173.980i	−0.229367	+	0.662711i	−0.999686	+	0.0250530i	$0.992025\pi$
$42$	138.690	−	40.7231i	0.509532	−	0.149612i
$43$	274.724	+	317.049i	0.974304	+	1.12441i	0.992211	+	0.124567i	$0.0397543\pi$
$43$	274.724	+	317.049i	0.974304	+	1.12441i	−0.0179069	+	0.999840i	$0.505700\pi$
$44$	282.131	−	145.448i	0.966654	−	0.498345i
$45$	143.561	−	92.2610i	0.475573	−	0.305632i
$46$	−266.014	+	106.496i	−0.852644	+	0.341347i
$47$	20.0870	−	421.678i	0.0623403	−	1.30868i	−0.723530	−	0.690293i	$-0.757482\pi$
$47$	20.0870	−	421.678i	0.0623403	−	1.30868i	0.785871	−	0.618391i	$-0.212215\pi$
$48$	−303.915	−	426.789i	−0.913883	−	1.28337i
$49$	85.0260	+	245.667i	0.247889	+	0.716229i
$50$	−1217.66	+	234.685i	−3.44407	+	0.663790i
$51$	−11.5902	−	4.64003i	−0.0318227	−	0.0127399i
$52$	646.021	−	1414.59i	1.72283	−	3.77246i
$53$	−183.452	+	211.715i	−0.475455	+	0.548704i	−0.941921	−	0.335835i	$-0.890981\pi$
$53$	−183.452	+	211.715i	−0.475455	+	0.548704i	0.466466	+	0.884539i	$0.345527\pi$
$54$	33.6575	−	138.738i	0.0848187	−	0.349627i
$55$	−218.256	−	208.106i	−0.535083	−	0.510201i
$56$	−452.877	+	356.147i	−1.08068	+	0.849859i
$57$	−15.1489	−	318.015i	−0.0352022	−	0.738985i
$58$	−261.001	−	571.513i	−0.590881	−	1.29385i
$59$	623.282	+	183.012i	1.37533	+	0.403833i	0.884140	−	0.467221i	$-0.154745\pi$
$59$	623.282	+	183.012i	1.37533	+	0.403833i	0.491187	+	0.871054i	$0.336563\pi$
$60$	−658.519	+	924.761i	−1.41691	+	1.98977i
$61$	346.356	+	272.377i	0.726989	+	0.571711i	0.911589	−	0.411103i	$-0.134856\pi$
$61$	346.356	+	272.377i	0.726989	+	0.571711i	−0.184600	+	0.982814i	$0.559099\pi$
$62$	226.693	+	1576.68i	0.464355	+	3.22966i
$63$	−80.5294	−	15.5208i	−0.161044	−	0.0310386i
$64$	682.321	+	438.501i	1.33266	+	0.856447i
$65$	−1470.79	−	140.443i	−2.80660	−	0.267998i
$66$	−252.285			−0.470517
$67$	−417.203	+	355.956i	−0.760739	+	0.649058i
$67$	−417.203	+	355.956i	−0.760739	+	0.649058i
$68$	83.0540			0.148114
$69$	161.839	+	15.4538i	0.282365	+	0.0269626i
$70$	768.558	+	493.922i	1.31229	+	0.843357i
$71$	34.0353	+	6.55977i	0.0568908	+	0.0109648i	0.217617	−	0.976034i	$-0.430172\pi$
$71$	34.0353	+	6.55977i	0.0568908	+	0.0109648i	−0.160726	+	0.986999i	$0.551384\pi$
$72$	80.9821	+	563.243i	0.132553	+	0.921928i
$73$	−622.643	−	489.652i	−0.998286	−	0.785061i	−0.0216069	−	0.999767i	$-0.506878\pi$
$73$	−622.643	−	489.652i	−0.998286	−	0.785061i	−0.976679	+	0.214706i	$0.931121\pi$
$74$	−246.633	+	346.347i	−0.387439	+	0.544082i
$75$	675.087	+	198.223i	1.03936	+	0.305185i
$76$	879.853	+	1926.61i	1.32798	+	2.90786i
$77$	6.89594	+	144.764i	0.0102060	+	0.214251i
$78$	−971.579	+	764.058i	−1.41038	+	1.10914i
$79$	−760.007	−	724.666i	−1.08237	−	1.03204i	−0.999370	−	0.0354920i	$-0.988700\pi$
$79$	−760.007	−	724.666i	−1.08237	−	1.03204i	−0.0830037	−	0.996549i	$-0.526451\pi$
$80$	780.721	−	3218.17i	1.09109	−	4.49754i
$81$	−53.0437	+	61.2157i	−0.0727623	+	0.0839722i
$82$	−404.390	+	885.490i	−0.544602	+	1.19251i
$83$	−1012.93	−	405.517i	−1.33956	−	0.536280i	−0.412422	−	0.910993i	$-0.635317\pi$
$83$	−1012.93	−	405.517i	−1.33956	−	0.536280i	−0.927141	+	0.374713i	$0.877741\pi$
$84$	535.726	−	103.253i	0.695863	−	0.134117i
$85$	−25.8081	−	74.5676i	−0.0329327	−	0.0951528i
$86$	1286.68	+	1806.88i	1.61332	+	2.26560i
$87$	−16.9618	+	356.073i	−0.0209023	+	0.438793i
$88$	933.546	−	373.736i	1.13087	−	0.452731i
$89$	456.177	−	293.167i	0.543311	−	0.349165i	−0.240021	−	0.970768i	$-0.577154\pi$
$89$	456.177	−	293.167i	0.543311	−	0.349165i	0.783333	+	0.621603i	$0.213518\pi$
$90$	802.013	−	413.466i	0.939328	−	0.484257i
$91$	464.982	+	536.617i	0.535641	+	0.618163i
$92$	−1037.73	+	304.706i	−1.17599	+	0.345302i
$93$	295.594	−	854.064i	0.329588	−	0.952283i
$94$	317.668	−	2209.43i	0.348564	−	2.42431i
$95$	1456.35	−	1388.62i	1.57282	−	1.49968i
$96$	−626.454	−	1085.05i	−0.666013	−	1.15357i
$97$	566.899	−	981.897i	0.593400	−	1.02780i	−0.400370	−	0.916354i	$-0.631118\pi$
$97$	566.899	−	981.897i	0.593400	−	1.02780i	0.993770	−	0.111446i	$-0.0355483\pi$
$98$	324.065	+	1335.81i	0.334036	+	1.37692i
$99$	127.228	+	65.5907i	0.129161	+	0.0665870i
$100$	−4659.45	+	444.924i	−4.65945	+	0.444924i
$101$	660.503	−	63.0704i	0.650717	−	0.0621360i	0.235523	−	0.971869i	$-0.424320\pi$
$101$	660.503	−	63.0704i	0.650717	−	0.0621360i	0.415194	+	0.909733i	$0.363714\pi$
$102$	−58.6738	−	30.2484i	−0.0569565	−	0.0293631i
$103$	−176.493	−	727.515i	−0.168839	−	0.695963i	−0.991793	−	0.127855i	$-0.959191\pi$
$103$	−176.493	−	727.515i	−0.168839	−	0.695963i	0.822954	−	0.568108i	$-0.192324\pi$
$104$	2463.32	−	4266.60i	2.32258	−	4.02283i
$105$	−259.173	−	448.901i	−0.240883	−	0.417222i
$106$	−1072.02	+	1022.17i	−0.982301	+	0.936622i
$107$	−172.099	+	1196.97i	−0.155490	+	1.08146i	0.751327	+	0.659930i	$0.229414\pi$
$107$	−172.099	+	1196.97i	−0.155490	+	1.08146i	−0.906817	+	0.421525i	$0.861495\pi$
$108$	176.243	−	509.220i	0.157027	−	0.453701i
$109$	−1223.31	+	359.195i	−1.07497	+	0.315639i	−0.770864	−	0.637000i	$-0.780175\pi$
$109$	−1223.31	+	359.195i	−1.07497	+	0.315639i	−0.304104	+	0.952639i	$0.598357\pi$
$110$	−1044.20	−	1205.08i	−0.905100	−	1.04454i
$111$	214.424	−	110.543i	0.183353	−	0.0945250i
$112$	−1338.81	+	860.402i	−1.12952	+	0.725896i
$113$	1413.03	−	565.692i	1.17634	−	0.470936i	0.300616	−	0.953745i	$-0.402808\pi$
$113$	1413.03	−	565.692i	1.17634	−	0.470936i	0.875726	+	0.482809i	$0.160383\pi$
$114$	80.0999	−	1681.50i	0.0658074	−	1.38147i
$115$	596.034	+	837.013i	0.483309	+	0.678712i
$116$	−775.635	−	2241.05i	−0.620827	−	1.79376i
$117$	688.616	−	132.720i	0.544125	−	0.104871i
$118$	3188.69	+	1276.56i	2.48765	+	0.995906i
$119$	−15.7531	+	34.4944i	−0.0121351	+	0.0265723i
$120$	−2355.23	+	2718.08i	−1.79169	+	2.06772i
$121$	−254.159	+	1047.66i	−0.190954	+	0.787122i
$122$	1686.17	+	1607.76i	1.25130	+	1.19311i
$123$	434.151	−	341.420i	0.318261	−	0.250283i
$124$	286.081	+	6005.57i	0.207184	+	4.34932i
$125$	862.736	+	1889.13i	0.617324	+	1.35175i
$126$	−416.070	−	122.169i	−0.294179	−	0.0863786i
$127$	−238.848	+	335.416i	−0.166885	+	0.234357i	−0.889546	−	0.456845i	$-0.848979\pi$
$127$	−238.848	+	335.416i	−0.166885	+	0.234357i	0.722661	+	0.691202i	$0.242919\pi$
$128$	744.768	+	585.692i	0.514287	+	0.404440i
$129$	−179.110	−	1245.74i	−0.122246	−	0.850241i
$130$	−7671.00	−	1478.46i	−5.17532	−	0.997461i
$131$	839.992	+	539.830i	0.560233	+	0.360040i	0.789906	−	0.613228i	$-0.210129\pi$
$131$	839.992	+	539.830i	0.560233	+	0.360040i	−0.229673	+	0.973268i	$0.573766\pi$
$132$	−947.936	−	90.5169i	−0.625055	−	0.0596855i
$133$	−967.054			−0.630483
$134$	−2374.88	+	1663.90i	−1.53103	+	1.07268i
$135$	−511.954			−0.326385
$136$	261.925	+	25.0108i	0.165146	+	0.0157695i
$137$	1968.04	+	1264.78i	1.22731	+	0.788743i	0.983470	−	0.181073i	$-0.0579571\pi$
$137$	1968.04	+	1264.78i	1.22731	+	0.788743i	0.243838	+	0.969816i	$0.421593\pi$
$138$	844.083	+	162.684i	0.520675	+	0.100352i
$139$	−199.116	−	1384.88i	−0.121502	−	0.845064i	−0.955856	−	0.293835i	$-0.905068\pi$
$139$	−199.116	−	1384.88i	−0.121502	−	0.845064i	0.834354	−	0.551229i	$-0.185841\pi$
$140$	2710.57	+	2131.62i	1.63632	+	1.28682i
$141$	−734.625	+	1031.64i	−0.438770	+	0.616166i
$142$	175.850	+	51.6342i	0.103922	+	0.0305144i
$143$	−514.821	−	1127.30i	−0.301059	−	0.659228i
$144$	74.7903	+	1570.04i	0.0432814	+	0.908588i
$145$	−1771.04	+	1392.76i	−1.01432	+	0.797673i
$146$	−3031.21	−	2890.26i	−1.71825	−	1.63835i
$147$	183.867	−	757.909i	0.103164	−	0.425247i
$148$	−1050.97	+	1212.88i	−0.583708	+	0.673635i
$149$	1162.29	−	2545.07i	0.639052	−	1.39933i	−0.261766	−	0.965131i	$-0.584305\pi$
$149$	1162.29	−	2545.07i	0.639052	−	1.39933i	0.900818	−	0.434197i	$-0.142968\pi$
$150$	3453.73	+	1382.66i	1.87997	+	0.752627i
$151$	2977.88	−	573.939i	1.60488	−	0.309314i	0.693364	−	0.720588i	$-0.256128\pi$
$151$	2977.88	−	573.939i	1.60488	−	0.309314i	0.911512	+	0.411273i	$0.134916\pi$
$152$	2194.59	+	6340.85i	1.17108	+	3.38362i
$153$	21.7252	+	30.5088i	0.0114796	+	0.0161208i
$154$	−36.4623	+	765.437i	−0.0190793	+	0.400524i
$155$	5303.03	−	2123.01i	2.74806	−	1.10016i
$156$	−3924.75	+	2522.29i	−2.01431	+	1.29452i
$157$	591.832	−	305.111i	0.300849	−	0.155099i	−0.301192	−	0.953564i	$-0.597385\pi$
$157$	591.832	−	305.111i	0.300849	−	0.155099i	0.602041	+	0.798465i	$0.294354\pi$
$158$	−3636.12	−	4196.31i	−1.83085	−	2.11291i
$159$	806.375	−	236.773i	0.402199	−	0.118096i
$160$	2590.02	−	7483.37i	1.27974	−	3.69758i
$161$	70.2775	−	488.791i	0.0344015	−	0.239268i
$162$	−309.966	+	295.552i	−0.150329	+	0.143338i
$163$	766.157	+	1327.02i	0.368160	+	0.637671i	0.989278	−	0.146046i	$-0.0466547\pi$
$163$	766.157	+	1327.02i	0.368160	+	0.637671i	−0.621118	+	0.783717i	$0.713321\pi$
$164$	−1837.16	+	3182.06i	−0.874745	+	1.51510i
$165$	213.293	+	879.204i	0.100635	+	0.414824i
$166$	−5127.81	−	2643.57i	−2.39756	−	1.23603i
$167$	−2908.02	+	277.682i	−1.34748	+	0.128669i	−0.743717	−	0.668494i	$-0.766939\pi$
$167$	−2908.02	+	277.682i	−1.34748	+	0.128669i	−0.603764	+	0.797163i	$0.706333\pi$
$168$	1720.60	−	164.297i	0.790160	−	0.0754511i
$169$	−3443.96	−	1775.48i	−1.56757	−	0.808140i
$170$	−98.3641	−	405.462i	−0.0443775	−	0.182927i
$171$	−477.563	+	827.164i	−0.213568	+	0.369911i
$172$	4186.28	+	7250.84i	1.85582	+	3.21437i
$173$	693.444	−	661.197i	0.304749	−	0.290577i	−0.522237	−	0.852801i	$-0.674902\pi$
$173$	693.444	−	661.197i	0.304749	−	0.290577i	0.826986	+	0.562223i	$0.190054\pi$
$174$	−268.245	+	1865.68i	−0.116871	+	0.812857i
$175$	698.983	−	2019.58i	0.301932	−	0.872376i
$176$	2665.15	−	782.559i	1.14144	−	0.335157i
$177$	−1276.18	−	1472.79i	−0.541942	−	0.625434i
$178$	2548.46	−	1313.82i	1.07312	−	0.553232i
$179$	−2225.05	+	1429.95i	−0.929093	+	0.597092i	−0.915283	−	0.402813i	$-0.868033\pi$
$179$	−2225.05	+	1429.95i	−0.929093	+	0.597092i	−0.0138109	+	0.999905i	$0.504396\pi$
$180$	3161.83	−	1265.81i	1.30927	−	0.524154i
$181$	85.1347	−	1787.20i	0.0349614	−	0.733930i	−0.911536	−	0.411219i	$-0.865103\pi$
$181$	85.1347	−	1787.20i	0.0349614	−	0.733930i	0.946498	−	0.322710i	$-0.104594\pi$
$182$	2177.75	+	3058.22i	0.886953	+	1.24555i
$183$	−432.345	−	1249.18i	−0.174644	−	0.504600i
$184$	−3364.42	+	648.439i	−1.34798	+	0.259802i
$185$	1415.52	+	566.690i	0.562548	+	0.225210i
$186$	1985.14	−	4346.85i	0.782567	−	1.71358i
$187$	43.3430	−	50.0205i	0.0169495	−	0.0195608i
$188$	1986.33	−	8187.76i	0.770574	−	3.17635i
$189$	178.064	+	169.783i	0.0685302	+	0.0653435i
$190$	8363.50	−	6577.13i	3.19343	−	2.51134i
$191$	80.6479	+	1693.01i	0.0305522	+	0.641370i	0.961266	+	0.275622i	$0.0888838\pi$
$191$	80.6479	+	1693.01i	0.0305522	+	0.641370i	−0.930714	+	0.365748i	$0.880813\pi$
$192$	−1010.80	−	2213.34i	−0.379938	−	0.831949i
$193$	−2115.38	−	621.132i	−0.788956	−	0.231658i	−0.137657	−	0.990480i	$-0.543957\pi$
$193$	−2115.38	−	621.132i	−0.788956	−	0.231658i	−0.651299	+	0.758821i	$0.725776\pi$
$194$	3477.41	−	4883.35i	1.28693	−	1.80724i
$195$	3484.13	+	2739.95i	1.27951	+	1.00622i
$196$	738.369	+	5135.47i	0.269085	+	1.87153i
$197$	−4397.98	−	847.641i	−1.59057	−	0.306558i	−0.684284	−	0.729216i	$-0.739885\pi$
$197$	−4397.98	−	847.641i	−1.59057	−	0.306558i	−0.906289	+	0.422658i	$0.861097\pi$
$198$	636.706	+	409.186i	0.228529	+	0.146867i
$199$	−1464.25	−	139.819i	−0.521599	−	0.0498066i	−0.169063	−	0.985605i	$-0.554074\pi$
$199$	−1464.25	−	139.819i	−0.521599	−	0.0498066i	−0.352535	+	0.935799i	$0.614680\pi$
$200$	−14828.4			−5.24261
$201$	1630.25	−	221.676i	0.572086	−	0.0777901i
$202$	3508.29			1.22199
$203$	1077.88	+	102.925i	0.372672	+	0.0355859i
$204$	−209.608	−	134.707i	−0.0719388	−	0.0462323i
$205$	3427.79	+	660.653i	1.16784	+	0.225083i
$206$	−563.327	−	3918.02i	−0.190528	−	1.32515i
$207$	−383.379	−	301.492i	−0.128728	−	0.101233i
$208$	7893.80	−	11085.3i	2.63142	−	3.69532i
$209$	1619.50	+	475.527i	0.535994	+	0.157382i
$210$	−1138.55	−	2493.08i	−0.374131	−	0.819233i
$211$	−114.106	−	2395.39i	−0.0372294	−	0.781542i	−0.937872	−	0.346981i	$-0.887207\pi$
$211$	−114.106	−	2395.39i	−0.0372294	−	0.781542i	0.900643	−	0.434560i	$-0.143096\pi$
$212$	−4394.76	+	3456.08i	−1.42374	+	1.11964i
$213$	−75.2575	−	71.7579i	−0.0242092	−	0.0230834i
$214$	−1507.46	+	6213.84i	−0.481532	+	1.98490i
$215$	5209.12	−	6011.64i	1.65237	−	1.90693i
$216$	709.157	−	1552.84i	0.223389	−	0.489154i
$217$	−2548.53	−	1020.28i	−0.797260	−	0.319175i
$218$	−6619.47	+	1275.80i	−2.05655	+	0.396367i
$219$	777.225	+	2245.64i	0.239817	+	0.692906i
$220$	−3491.13	−	4902.61i	−1.06987	−	1.50243i
$221$	15.4293	−	323.902i	0.00469634	−	0.0985882i
$222$	1184.19	−	474.078i	0.358008	−	0.143325i
$223$	898.830	−	577.643i	0.269911	−	0.173461i	−0.398683	−	0.917089i	$-0.630533\pi$
$223$	898.830	−	577.643i	0.269911	−	0.173461i	0.668594	+	0.743628i	$0.266896\pi$
$224$	−3382.61	+	1743.86i	−1.00897	+	0.520162i
$225$	−1382.25	−	1595.21i	−0.409557	−	0.472654i
$226$	7721.88	−	2267.35i	2.27280	−	0.667353i
$227$	652.021	−	1883.89i	0.190644	−	0.550830i	−0.808654	−	0.588284i	$-0.799804\pi$
$227$	652.021	−	1883.89i	0.190644	−	0.550830i	0.999298	+	0.0374545i	$0.0119249\pi$
$228$	904.273	−	6289.36i	0.262662	−	1.82685i
$229$	−3466.98	+	3305.76i	−1.00046	+	0.953934i	−0.998938	−	0.0460653i	$-0.985332\pi$
$229$	−3466.98	+	3305.76i	−1.00046	+	0.953934i	−0.00151831	+	0.999999i	$0.500483\pi$
$230$	2716.57	+	4705.24i	0.778806	+	1.34893i
$231$	217.392	−	376.533i	0.0619191	−	0.107247i
$232$	−1771.23	−	7301.10i	−0.501236	−	2.06612i
$233$	2877.93	+	1483.68i	0.809182	+	0.417162i	0.812593	−	0.582832i	$-0.198055\pi$
$233$	2877.93	+	1483.68i	0.809182	+	0.417162i	−0.00341088	+	0.999994i	$0.501086\pi$
$234$	3691.28	−	352.474i	1.03122	−	0.0984699i
$235$	−7968.37	+	760.887i	−2.21191	+	0.211212i
$236$	11523.2	+	5940.63i	3.17838	+	1.63857i
$237$	742.725	+	3061.56i	0.203566	+	0.839111i
$238$	−100.254	+	173.646i	−0.0273047	+	0.0472932i
$239$	1398.59	+	2422.43i	0.378525	+	0.655624i	0.990848	−	0.134984i	$-0.0430982\pi$
$239$	1398.59	+	2422.43i	0.378525	+	0.655624i	−0.612323	+	0.790608i	$0.709765\pi$
$240$	−7189.98	+	6855.63i	−1.93380	+	1.84387i
$241$	−818.872	+	5695.38i	−0.218872	+	1.52229i	0.523340	+	0.852124i	$0.324686\pi$
$241$	−818.872	+	5695.38i	−0.218872	+	1.52229i	−0.742212	+	0.670165i	$0.766223\pi$
$242$	−1864.35	+	5386.67i	−0.495226	+	1.43086i
$243$	233.157	−	68.4610i	0.0615515	−	0.0180732i
$244$	5758.76	+	6645.97i	1.51093	+	1.74371i
$245$	4381.29	−	2258.71i	1.14249	−	0.588995i
$246$	2456.78	−	1578.88i	0.636742	−	0.409209i
$247$	7677.03	−	3073.42i	1.97764	−	0.791729i
$248$	−906.307	+	19025.7i	−0.232059	+	4.87151i
$249$	1898.68	+	2666.32i	0.483229	+	0.678600i
$250$	3591.57	+	10377.2i	0.908603	+	2.62524i
$251$	−1945.82	+	375.025i	−0.489318	+	0.0943084i	−0.427942	−	0.903806i	$-0.640761\pi$
$251$	−1945.82	+	375.025i	−0.489318	+	0.0943084i	−0.0613765	+	0.998115i	$0.519549\pi$
$252$	−1519.51	−	608.321i	−0.379843	−	0.152066i
$253$	−358.043	+	784.005i	−0.0889722	+	0.194822i
$254$	−1425.78	+	1645.43i	−0.352209	+	0.406471i
$255$	−55.8094	+	230.049i	−0.0137056	+	0.0564951i
$256$	−1070.27	−	1020.50i	−0.261298	−	0.249147i
$257$	−3316.27	+	2607.94i	−0.804914	+	0.632992i	−0.933448	−	0.358714i	$-0.883215\pi$
$257$	−3316.27	+	2607.94i	−0.804914	+	0.632992i	0.128533	+	0.991705i	$0.458973\pi$
$258$	−316.637	−	6647.03i	−0.0764069	−	1.60398i
$259$	−304.400	−	666.542i	−0.0730289	−	0.159911i
$260$	−28292.6	−	8307.46i	−6.74859	−	1.98156i
$261$	620.330	−	871.132i	0.147117	−	0.206597i
$262$	4150.02	+	3263.62i	0.978585	+	0.769568i
$263$	−818.193	−	5690.65i	−0.191832	−	1.33422i	−0.827154	−	0.561976i	$-0.810041\pi$
$263$	−818.193	−	5690.65i	−0.191832	−	1.33422i	0.635321	−	0.772248i	$-0.280868\pi$
$264$	−2962.22	−	570.921i	−0.690575	−	0.133097i
$265$	4468.56	+	2871.77i	1.03585	+	0.665703i
$266$	−5090.15	−	486.050i	−1.17330	−	0.112036i
$267$	−1626.78			−0.372873
$268$	−9520.38	+	5399.88i	−2.16996	+	1.23078i
$269$	−2155.98			−0.488671			−0.244336	−	0.969691i	$-0.578570\pi$
$269$	−2155.98			−0.488671			−0.244336	+	0.969691i	$0.578570\pi$
$270$	−2694.70	−	257.312i	−0.607386	−	0.0579983i
$271$	−5271.76	−	3387.95i	−1.18168	−	0.759422i	−0.205989	−	0.978554i	$-0.566041\pi$
$271$	−5271.76	−	3387.95i	−1.18168	−	0.759422i	−0.975695	+	0.219132i	$0.929677\pi$
$272$	713.660	+	137.547i	0.159088	+	0.0306617i
$273$	−303.151	−	2108.46i	−0.0672070	−	0.467435i
$274$	9723.21	+	7646.42i	2.14380	+	1.68590i
$275$	−2163.65	+	3038.42i	−0.474447	+	0.666267i
$276$	3113.20	+	914.117i	0.678958	+	0.199360i
$277$	1187.97	+	2601.28i	0.257682	+	0.564245i	0.993617	−	0.112807i	$-0.0359843\pi$
$277$	1187.97	+	2601.28i	0.257682	+	0.564245i	−0.735935	+	0.677052i	$0.763257\pi$
$278$	−352.004	−	7389.47i	−0.0759417	−	1.59421i
$279$	−2131.24	+	1676.02i	−0.457325	+	0.359644i
$280$	7906.32	+	7538.66i	1.68748	+	1.60900i
$281$	−654.936	+	2699.68i	−0.139040	+	0.573130i	0.859080	+	0.511841i	$0.171036\pi$
$281$	−654.936	+	2699.68i	−0.139040	+	0.573130i	−0.998120	+	0.0612892i	$0.980479\pi$
$282$	−4385.25	+	5060.85i	−0.926020	+	1.06868i
$283$	666.082	−	1458.52i	0.139910	−	0.306360i	−0.826687	−	0.562662i	$-0.809777\pi$
$283$	666.082	−	1458.52i	0.139910	−	0.306360i	0.966597	+	0.256303i	$0.0825044\pi$
$284$	642.213	+	257.104i	0.134184	+	0.0537193i
$285$	−5927.71	+	1142.47i	−1.23202	+	0.237453i
$286$	−2143.20	−	6192.36i	−0.443112	−	1.28029i
$287$	−973.129	−	1366.57i	−0.200146	−	0.281066i
$288$	−178.847	+	3754.47i	−0.0365926	+	0.768174i
$289$	−4544.99	+	1819.54i	−0.925095	+	0.370352i
$290$	−10022.0	+	6440.74i	−2.02935	+	1.30418i
$291$	−3023.28	+	1558.61i	−0.609030	+	0.313977i
$292$	−10352.5	−	11947.4i	−2.07478	−	2.39442i
$293$	1354.45	−	397.702i	0.270060	−	0.0792969i	−0.143899	−	0.989592i	$-0.545964\pi$
$293$	1354.45	−	397.702i	0.270060	−	0.0792969i	0.413959	+	0.910296i	$0.364146\pi$
$294$	1348.73	−	3896.89i	0.267548	−	0.773031i
$295$	1752.91	−	12191.8i	0.345961	−	2.40621i
$296$	−3679.64	+	3508.53i	−0.722550	+	0.688950i
$297$	−214.710	−	371.889i	−0.0419487	−	0.0726573i
$298$	7396.96	−	12811.9i	1.43790	−	2.49052i
$299$	995.535	+	4103.65i	0.192553	+	0.793713i
$300$	12481.0	+	6434.39i	2.40197	+	1.23830i
$301$	−3805.48	+	363.379i	−0.728719	+	0.0695842i
$302$	15962.7	−	1524.25i	3.04156	−	0.290433i
$303$	−1769.25	−	912.110i	−0.335447	−	0.172935i
$304$	4369.66	+	18012.0i	0.824398	+	3.39822i
$305$	4177.42	−	7235.50i	0.784256	−	1.35837i
$306$	99.0179	+	171.504i	0.0184983	+	0.0320400i
$307$	−289.031	+	275.590i	−0.0537324	+	0.0512338i	−0.716470	−	0.697618i	$-0.754243\pi$
$307$	−289.031	+	275.590i	−0.0537324	+	0.0512338i	0.662737	+	0.748852i	$0.269395\pi$
$308$	−411.634	+	2862.98i	−0.0761527	+	0.529653i
$309$	−734.546	+	2122.33i	−0.135233	+	0.390729i
$310$	28979.8	−	8509.25i	5.30950	−	1.55901i
$311$	−4266.57	−	4923.88i	−0.777925	−	0.897773i	0.219033	−	0.975718i	$-0.429710\pi$
$311$	−4266.57	−	4923.88i	−0.777925	−	0.897773i	−0.996958	+	0.0779441i	$0.975164\pi$
$312$	−13136.9	+	6772.56i	−2.38376	+	1.22891i
$313$	−1340.19	+	861.291i	−0.242020	+	0.155537i	−0.656028	−	0.754736i	$-0.727765\pi$
$313$	−1340.19	+	861.291i	−0.242020	+	0.155537i	0.414008	+	0.910273i	$0.364128\pi$
$314$	3268.49	−	1308.51i	0.587426	−	0.235170i
$315$	−73.9918	+	1553.28i	−0.0132348	+	0.277833i
$316$	−12156.8	−	17071.8i	−2.16416	−	3.03913i
$317$	44.6134	+	128.902i	0.00790453	+	0.0228386i	0.948884	−	0.315625i	$-0.102214\pi$
$317$	44.6134	+	128.902i	0.00790453	+	0.0228386i	−0.940980	+	0.338463i	$0.890093\pi$
$318$	4363.40	−	840.977i	0.769458	−	0.148301i
$319$	−1754.48	−	702.389i	−0.307938	−	0.123280i
$320$	6388.68	−	13989.2i	1.11606	−	2.44382i
$321$	2375.73	−	2741.74i	0.413086	−	0.476726i
$322$	615.580	−	2537.46i	0.106537	−	0.439152i
$323$	319.631	+	304.767i	0.0550611	+	0.0525006i
$324$	−1270.71	+	999.297i	−0.217886	+	0.171347i
$325$	869.547	+	18254.0i	0.148412	+	3.11554i
$326$	3365.74	+	7369.94i	0.571813	+	1.25209i
$327$	3669.92	+	1077.58i	0.620633	+	0.182234i
$328$	−6752.04	+	9481.91i	−1.13664	+	1.59619i
$329$	3023.83	+	2377.97i	0.506715	+	0.398485i
$330$	680.782	+	4734.94i	0.113563	+	0.789849i
$331$	2796.83	+	539.045i	0.464435	+	0.0895124i	0.416100	−	0.909319i	$-0.363397\pi$
$331$	2796.83	+	539.045i	0.464435	+	0.0895124i	0.0483344	+	0.998831i	$0.484609\pi$
$332$	−18318.8	−	11772.8i	−3.02823	−	1.94613i
$333$	−720.446	−	68.7942i	−0.118559	−	0.0113210i
$334$	−15446.1			−2.53046
$335$	7806.48	+	6869.64i	1.27317	+	1.12038i
$336$	4774.35			0.775185
$337$	−6976.83	−	666.206i	−1.12775	−	0.107687i	−0.485540	−	0.874215i	$-0.661377\pi$
$337$	−6976.83	−	666.206i	−1.12775	−	0.107687i	−0.642211	+	0.766528i	$0.721983\pi$
$338$	−17235.1	−	11076.3i	−2.77357	−	1.78246i
$339$	−4483.66	−	864.154i	−0.718344	−	0.138450i
$340$	−224.118	−	1558.78i	−0.0357486	−	0.248637i
$341$	3766.24	+	2961.80i	0.598104	+	0.470354i
$342$	−2929.42	+	4113.80i	−0.463173	+	0.650435i
$343$	−5271.88	−	1547.96i	−0.829898	−	0.243680i
$344$	11018.6	+	24127.4i	1.72699	+	3.78158i
$345$	−146.678	−	3079.14i	−0.0228894	−	0.480509i
$346$	3982.30	−	3131.72i	0.618757	−	0.486596i
$347$	3090.15	+	2946.45i	0.478063	+	0.455832i	0.890386	−	0.455206i	$-0.150434\pi$
$347$	3090.15	+	2946.45i	0.478063	+	0.455832i	−0.412324	+	0.911037i	$0.635283\pi$
$348$	−1677.29	+	6913.89i	−0.258369	+	1.06501i
$349$	−5900.46	+	6809.50i	−0.904999	+	1.04442i	0.0938081	+	0.995590i	$0.470096\pi$
$349$	−5900.46	+	6809.50i	−0.904999	+	1.04442i	−0.998807	+	0.0488340i	$0.984449\pi$
$350$	4694.20	−	10278.9i	0.716901	−	1.56979i
$351$	−1953.16	−	781.929i	−0.297015	−	0.118907i
$352$	6522.25	−	1257.06i	0.987605	−	0.190345i
$353$	−53.2876	−	153.964i	−0.00803459	−	0.0232144i	0.940912	−	0.338651i	$-0.109970\pi$
$353$	−53.2876	−	153.964i	−0.00803459	−	0.0232144i	−0.948947	+	0.315436i	$0.897849\pi$
$354$	−5977.02	−	8393.55i	−0.897387	−	1.26020i
$355$	31.2722	−	656.485i	0.00467537	−	0.0981481i
$356$	10047.0	−	4022.21i	1.49576	−	0.598811i
$357$	95.7043	−	61.5054i	0.0141883	−	0.00911824i
$358$	−12430.4	+	6408.30i	−1.83510	+	0.946059i
$359$	5507.91	+	6356.47i	0.809740	+	0.934489i	0.998873	−	0.0474621i	$-0.0151133\pi$
$359$	5507.91	+	6356.47i	0.809740	+	0.934489i	−0.189133	+	0.981951i	$0.560568\pi$
$360$	10352.6	−	3039.79i	1.51563	−	0.445030i
$361$	−1440.26	+	4161.37i	−0.209982	+	0.606702i
$362$	1346.37	−	9364.22i	0.195480	−	1.35959i
$363$	2340.66	−	2231.81i	0.338437	−	0.322699i
$364$	7085.43	+	12272.3i	1.02027	+	1.76716i
$365$	−7509.73	+	13007.2i	−1.07692	+	1.86529i
$366$	−1647.82	−	6792.42i	−0.235336	−	0.970069i
$367$	−8361.66	−	4310.73i	−1.18931	−	0.613129i	−0.254080	−	0.967183i	$-0.581773\pi$
$367$	−8361.66	−	4310.73i	−1.18931	−	0.613129i	−0.935225	+	0.354054i	$0.884803\pi$
$368$	−9421.57	+	899.651i	−1.33460	+	0.127439i
$369$	−1649.45	+	157.503i	−0.232702	+	0.0222203i
$370$	7165.86	+	3694.26i	1.00685	+	0.519069i
$371$	−601.831	−	2480.78i	−0.0842196	−	0.347158i
$372$	9018.57	−	15620.6i	1.25697	−	2.17713i
$373$	1745.59	+	3023.46i	0.242315	+	0.419701i	0.961373	−	0.275248i	$-0.0887600\pi$
$373$	1745.59	+	3023.46i	0.242315	+	0.419701i	−0.719058	+	0.694950i	$0.755427\pi$
$374$	253.279	−	241.501i	0.0350181	−	0.0333897i
$375$	886.681	−	6167.00i	0.122101	−	0.849234i
$376$	8729.87	−	25223.3i	1.19736	−	3.45956i
$377$	−8883.95	+	2608.56i	−1.21365	+	0.356360i
$378$	851.913	+	983.160i	0.115920	+	0.133779i
$379$	2544.88	−	1311.98i	0.344912	−	0.177814i	−0.277063	−	0.960852i	$-0.589361\pi$
$379$	2544.88	−	1311.98i	0.344912	−	0.177814i	0.621975	+	0.783037i	$0.286331\pi$
$380$	33784.8	−	21712.2i	4.56086	−	2.93109i
$381$	1146.81	−	459.115i	0.154208	−	0.0617354i
$382$	−426.426	+	8951.77i	−0.0571147	+	1.19899i
$383$	3310.77	+	4649.33i	0.441704	+	0.620286i	0.974075	−	0.226225i	$-0.0726384\pi$
$383$	3310.77	+	4649.33i	0.441704	+	0.620286i	−0.532371	+	0.846511i	$0.678699\pi$
$384$	−929.669	−	2686.10i	−0.123547	−	0.356965i
$385$	2698.35	−	520.064i	0.357197	−	0.0688440i
$386$	−10822.3	−	4332.58i	−1.42704	−	0.571301i
$387$	−1568.46	+	3434.45i	−0.206019	+	0.451118i
$388$	14818.1	−	17101.1i	1.93886	−	2.23756i
$389$	1829.22	−	7540.14i	0.238419	−	0.982777i	−0.719215	−	0.694788i	$-0.755498\pi$
$389$	1829.22	−	7540.14i	0.238419	−	0.982777i	0.957634	−	0.287989i	$-0.0929866\pi$
$390$	16961.8	+	16173.1i	2.20229	+	2.09988i
$391$	−177.271	+	139.407i	−0.0229283	+	0.0180310i
$392$	782.082	+	16417.9i	0.100768	+	2.11538i
$393$	−1244.38	−	2724.81i	−0.159721	−	0.349741i
$394$	−22723.0	−	6672.07i	−2.90550	−	0.853132i
$395$	−11549.9	+	16219.5i	−1.47123	+	2.06605i
$396$	2245.55	+	1765.92i	0.284958	+	0.224093i
$397$	−1186.58	−	8252.87i	−0.150007	−	1.04332i	−0.916202	−	0.400716i	$-0.868761\pi$
$397$	−1186.58	−	8252.87i	−0.150007	−	1.04332i	0.766195	−	0.642608i	$-0.222148\pi$
$398$	−7636.91	−	1471.89i	−0.961818	−	0.185375i
$399$	2440.61	+	1568.49i	0.306224	+	0.196798i
$400$	−40774.3	−	3893.47i	−5.09678	−	0.486684i
$401$	1422.51			0.177149			0.0885746	−	0.996070i	$-0.471769\pi$
$401$	1422.51			0.177149			0.0885746	+	0.996070i	$0.471769\pi$
$402$	8692.35	−	347.423i	1.07845	−	0.0431042i
$403$	23474.2			2.90158
$404$	13182.1	+	1258.74i	1.62335	+	0.155011i
$405$	1292.05	+	830.349i	0.158524	+	0.101877i
$406$	5621.76	+	1083.51i	0.687200	+	0.132447i
$407$	182.012	+	1265.92i	0.0221670	+	0.154175i
$408$	−620.470	−	487.943i	−0.0752888	−	0.0592077i
$409$	−1150.15	+	1615.16i	−0.139049	+	0.195267i	−0.878228	−	0.478242i	$-0.841274\pi$
$409$	−1150.15	+	1615.16i	−0.139049	+	0.195267i	0.739179	+	0.673509i	$0.235214\pi$
$410$	17710.3	+	5200.22i	2.13330	+	0.626392i
$411$	−2915.49	−	6384.02i	−0.349903	−	0.766181i
$412$	−710.905	−	14923.7i	−0.0850091	−	1.78456i
$413$	−4652.93	+	3659.10i	−0.554372	+	0.435963i
$414$	−1866.40	−	1779.61i	−0.221567	−	0.211264i
$415$	−4877.48	+	20105.2i	−0.576930	+	2.37814i
$416$	21310.9	−	24594.1i	2.51166	−	2.89862i
$417$	−1743.65	+	3818.05i	−0.204764	+	0.448371i
$418$	8285.30	+	3316.93i	0.969491	+	0.388126i
$419$	−464.606	+	89.5455i	−0.0541707	+	0.0104405i	−0.216265	−	0.976335i	$-0.569387\pi$
$419$	−464.606	+	89.5455i	−0.0541707	+	0.0104405i	0.162094	+	0.986775i	$0.448175\pi$
$420$	−3383.51	−	9776.02i	−0.393092	−	1.13576i
$421$	6734.08	+	9456.70i	0.779570	+	1.09475i	0.993037	+	0.117803i	$0.0375851\pi$
$421$	6734.08	+	9456.70i	0.779570	+	1.09475i	−0.213467	+	0.976950i	$0.568475\pi$
$422$	603.338	−	12665.6i	0.0695972	−	1.46102i
$423$	3527.25	−	1412.10i	0.405439	−	0.162313i
$424$	−14900.4	+	9575.89i	−1.70667	+	1.09681i
$425$	−867.499	+	447.227i	−0.0990114	+	0.0510439i
$426$	−360.056	−	415.527i	−0.0409502	−	0.0472590i
$427$	−3852.52	+	1131.20i	−0.436619	+	0.128203i
$428$	−7893.60	+	22807.1i	−0.891475	+	2.57575i
$429$	−529.109	+	3680.04i	−0.0595469	+	0.414158i
$430$	30440.0	−	29024.5i	3.41383	−	3.25508i
$431$	−1609.84	−	2788.33i	−0.179915	−	0.311622i	0.761936	−	0.647652i	$-0.224249\pi$
$431$	−1609.84	−	2788.33i	−0.179915	−	0.311622i	−0.941851	+	0.336030i	$0.890916\pi$
$432$	2357.73	−	4083.71i	0.262584	−	0.454809i
$433$	−2225.21	−	9172.44i	−0.246967	−	1.01801i	−0.951330	−	0.308173i	$-0.900283\pi$
$433$	−2225.21	−	9172.44i	−0.246967	−	1.01801i	0.704363	−	0.709840i	$-0.251233\pi$
$434$	−12901.5	−	6651.20i	−1.42694	−	0.735640i
$435$	6728.63	−	642.507i	0.741640	−	0.0708180i
$436$	−25329.8	+	2418.70i	−2.78229	+	0.265676i
$437$	−5111.80	−	2635.32i	−0.559566	−	0.288476i
$438$	2962.29	+	12210.7i	0.323159	+	1.33208i
$439$	−1234.97	+	2139.02i	−0.134263	+	0.232551i	−0.925316	−	0.379197i	$-0.876200\pi$
$439$	−1234.97	+	2139.02i	−0.134263	+	0.232551i	0.791052	+	0.611748i	$0.209534\pi$
$440$	−9533.51	−	16512.5i	−1.03294	−	1.78910i
$441$	−1693.31	+	1614.56i	−0.182843	+	0.174340i
$442$	244.009	−	1697.12i	0.0262587	−	0.182633i
$443$	1089.38	−	3147.55i	0.116835	−	0.337572i	−0.871388	−	0.490595i	$-0.836779\pi$
$443$	1089.38	−	3147.55i	0.116835	−	0.337572i	0.988223	+	0.153023i	$0.0489007\pi$
$444$	4619.58	−	1356.43i	0.493774	−	0.144985i
$445$	−6733.22	−	7770.55i	−0.717270	−	0.827774i
$446$	5021.37	−	2588.70i	0.533114	−	0.274839i
$447$	−7061.25	+	4537.99i	−0.747171	+	0.480178i
$448$	−6861.42	+	2746.90i	−0.723597	+	0.289685i
$449$	760.756	−	15970.2i	0.0799605	−	1.67858i	−0.501619	−	0.865089i	$-0.667262\pi$
$449$	760.756	−	15970.2i	0.0799605	−	1.67858i	0.581579	−	0.813490i	$-0.302435\pi$
$450$	−6473.81	−	9091.19i	−0.678174	−	0.952362i
$451$	957.690	+	2767.06i	0.0999908	+	0.288905i
$452$	29827.8	−	5748.83i	3.10394	−	0.598235i
$453$	−8446.33	−	3381.40i	−0.876034	−	0.350711i
$454$	4378.81	−	9588.26i	0.452661	−	0.991188i
$455$	8816.63	−	10174.9i	0.908418	−	1.04837i
$456$	4745.75	−	19562.2i	0.487368	−	2.00896i
$457$	7348.40	+	7006.68i	0.752174	+	0.717196i	0.965677	−	0.259746i	$-0.0836388\pi$
$457$	7348.40	+	7006.68i	0.752174	+	0.717196i	−0.213503	+	0.976942i	$0.568487\pi$
$458$	−19910.2	+	15657.5i	−2.03131	+	1.59744i
$459$	−5.34634	−	112.233i	−0.000543673	−	0.0114131i
$460$	8519.07	+	18654.2i	0.863487	+	1.89077i
$461$	−13970.1	−	4101.99i	−1.41139	−	0.414423i	−0.514813	−	0.857302i	$-0.672139\pi$
$461$	−13970.1	−	4101.99i	−1.41139	−	0.414423i	−0.896581	+	0.442880i	$0.853957\pi$
$462$	1333.50	−	1872.64i	0.134286	−	0.188578i
$463$	1303.13	+	1024.79i	0.130803	+	0.102864i	0.681417	−	0.731895i	$-0.261364\pi$
$463$	1303.13	+	1024.79i	0.130803	+	0.102864i	−0.550614	+	0.834760i	$0.685606\pi$
$464$	−2953.39	−	20541.3i	−0.295491	−	2.05518i
$465$	−16826.9	−	3243.13i	−1.67813	−	0.323433i
$466$	14402.4	+	9255.88i	1.43172	+	0.920108i
$467$	10488.4	+	1001.52i	1.03928	+	0.0992393i	0.600718	−	0.799461i	$-0.294881\pi$
$467$	10488.4	+	1001.52i	1.03928	+	0.0992393i	0.438563	+	0.898700i	$0.355487\pi$
$468$	13996.1			1.38241
$469$	−436.951	−	4978.26i	−0.0430203	−	0.490138i
$470$	−42324.4			−4.15379
$471$	−1988.51	−	189.880i	−0.194534	−	0.0185758i
$472$	34551.4	+	22204.8i	3.36940	+	2.16538i
$473$	6551.60	+	1262.72i	0.636877	+	0.122748i
$474$	2370.61	+	16488.0i	0.229717	+	1.59772i
$475$	−19564.4	−	15385.6i	−1.88985	−	1.48619i
$476$	−438.999	+	616.487i	−0.0422720	+	0.0593627i
$477$	−2419.12	−	710.319i	−0.232210	−	0.0681830i
$478$	6144.03	+	13453.6i	0.587911	+	1.28735i
$479$	−656.607	−	13783.9i	−0.0626328	−	1.31483i	−0.783343	−	0.621589i	$-0.786487\pi$
$479$	−656.607	−	13783.9i	−0.0626328	−	1.31483i	0.720711	−	0.693236i	$-0.243816\pi$
$480$	−18674.0	+	14685.4i	−1.77573	+	1.39645i
$481$	4534.86	+	4323.98i	0.429879	+	0.409889i
$482$	−7172.73	+	29566.4i	−0.677819	+	2.79401i
$483$	−970.144	+	1119.61i	−0.0913935	+	0.105474i
$484$	−8937.78	+	19571.0i	−0.839386	+	1.83800i
$485$	−19958.3	−	7990.08i	−1.86857	−	0.748064i
$486$	1261.64	−	243.162i	0.117756	−	0.0226956i
$487$	3212.28	+	9281.28i	0.298896	+	0.863604i	0.990027	+	0.140875i	$0.0449914\pi$
$487$	3212.28	+	9281.28i	0.298896	+	0.863604i	−0.691131	+	0.722729i	$0.742887\pi$
$488$	16159.9	+	22693.4i	1.49902	+	2.10508i
$489$	218.731	−	4591.73i	0.0202277	−	0.424633i
$490$	24196.4	−	9686.79i	2.23078	−	0.893071i
$491$	13783.8	−	8858.29i	1.26691	−	0.814193i	0.277695	−	0.960669i	$-0.410429\pi$
$491$	13783.8	−	8858.29i	1.26691	−	0.814193i	0.989214	+	0.146476i	$0.0467930\pi$
$492$	9797.61	−	5051.02i	0.897785	−	0.462840i
$493$	−323.824	−	373.713i	−0.0295828	−	0.0341404i
$494$	41953.2	−	12318.6i	3.82098	−	1.12194i
$495$	887.701	−	2564.84i	0.0806044	−	0.232891i
$496$	−7487.69	+	52078.0i	−0.677837	+	4.71446i
$497$	−228.592	+	217.962i	−0.0206313	+	0.0196719i
$498$	8653.70	+	14988.6i	0.778678	+	1.34871i
$499$	3597.83	−	6231.62i	0.322767	−	0.559049i	−0.658291	−	0.752764i	$-0.728720\pi$
$499$	3597.83	−	6231.62i	0.322767	−	0.559049i	0.981058	+	0.193714i	$0.0620535\pi$
$500$	9771.78	+	40279.8i	0.874014	+	3.60274i
$501$	7789.53	+	4015.78i	0.694631	+	0.358107i
$502$	−10430.4	+	995.983i	−0.927355	+	0.0885516i
$503$	−8609.25	+	822.083i	−0.763156	+	0.0728725i	−0.469373	−	0.883000i	$-0.655520\pi$
$503$	−8609.25	+	822.083i	−0.763156	+	0.0728725i	−0.293782	+	0.955872i	$0.594914\pi$
$504$	−4608.85	−	2376.03i	−0.407330	−	0.209993i
$505$	−2966.06	−	12226.3i	−0.261363	−	1.07735i
$506$	−2278.63	+	3946.70i	−0.200192	+	0.346743i
$507$	5812.03	+	10066.7i	0.509115	+	0.881813i
$508$	−5947.58	+	5671.01i	−0.519451	+	0.495296i
$509$	2215.68	−	15410.4i	0.192944	−	1.34195i	−0.631221	−	0.775603i	$-0.717446\pi$
$509$	2215.68	−	15410.4i	0.192944	−	1.34195i	0.824165	−	0.566350i	$-0.191645\pi$
$510$	−409.381	+	1182.83i	−0.0355445	+	0.102699i
$511$	6925.66	−	2033.56i	0.599556	−	0.176046i
$512$	−10084.3	−	11637.9i	−0.870441	−	1.00454i
$513$	2546.85	−	1312.99i	0.219194	−	0.113002i
$514$	−18766.1	+	12060.3i	−1.61039	+	1.03493i
$515$	−13177.9	+	5275.64i	−1.12755	+	0.451403i
$516$	1195.15	−	25089.2i	0.101964	−	2.14049i
$517$	−3894.61	−	5469.21i	−0.331305	−	0.465252i
$518$	−1267.22	−	3661.38i	−0.107487	−	0.310563i
$519$	−2822.50	+	543.992i	−0.238716	+	0.0460088i
$520$	−86723.8	−	34719.0i	−7.31363	−	2.92794i
$521$	−873.315	+	1912.29i	−0.0734369	+	0.160804i	−0.942790	−	0.333387i	$-0.891808\pi$
$521$	−873.315	+	1912.29i	−0.0734369	+	0.160804i	0.869353	+	0.494191i	$0.164536\pi$
$522$	3702.98	−	4273.47i	0.310489	−	0.358323i
$523$	−3152.51	+	12994.8i	−0.263575	+	1.08647i	0.674012	+	0.738721i	$0.264570\pi$
$523$	−3152.51	+	12994.8i	−0.263575	+	1.08647i	−0.937587	+	0.347751i	$0.886945\pi$
$524$	14422.4	+	13751.7i	1.20238	+	1.14646i
$525$	−5039.67	+	3963.24i	−0.418951	+	0.329466i
$526$	−1446.43	−	30364.3i	−0.119900	−	2.51701i
$527$	520.799	+	1140.39i	0.0430481	+	0.0942622i
$528$	−7995.45	−	2347.68i	−0.659010	−	0.193503i
$529$	−5354.07	+	7518.74i	−0.440048	+	0.617961i
$530$	22077.2	+	17361.7i	1.80938	+	1.42291i
$531$	832.023	+	5786.84i	0.0679976	+	0.472933i
$532$	−18951.4	−	3652.57i	−1.54445	−	0.297668i
$533$	12068.4	+	7755.88i	0.980751	+	0.630290i
$534$	−8562.64	−	817.633i	−0.693898	−	0.0662592i
$535$	22929.5			1.85295
$536$	−31650.2	+	14162.5i	−2.55052	+	1.14128i
$537$	7934.75			0.637635
$538$	−11348.1	−	1083.62i	−0.909393	−	0.0868365i
$539$	3478.24	+	2235.33i	0.277957	+	0.178632i
$540$	−10032.8	−	1933.65i	−0.799520	−	0.154095i
$541$	−47.2789	−	328.832i	−0.00375726	−	0.0261323i	0.987857	−	0.155369i	$-0.0496565\pi$
$541$	−47.2789	−	328.832i	−0.00375726	−	0.0261323i	−0.991614	+	0.129236i	$0.958747\pi$
$542$	−26045.4	−	20482.3i	−2.06410	−	1.62323i
$543$	−3113.55	+	4372.37i	−0.246069	+	0.345555i
$544$	1667.60	+	489.650i	0.131429	+	0.0385911i
$545$	10042.5	+	21990.0i	0.789310	+	1.72835i
$546$	−535.921	−	11250.4i	−0.0420060	−	0.881815i
$547$	−2352.17	+	1849.76i	−0.183860	+	0.144589i	−0.705847	−	0.708364i	$-0.749433\pi$
$547$	−2352.17	+	1849.76i	−0.183860	+	0.144589i	0.521987	+	0.852953i	$0.325191\pi$
$548$	33790.6	+	32219.3i	2.63406	+	2.51157i
$549$	−934.935	+	3853.85i	−0.0726813	+	0.299597i
$550$	−12915.6	+	14905.4i	−1.00132	+	1.15558i
$551$	5238.54	−	11470.8i	0.405026	−	0.886884i
$552$	9542.71	+	3820.32i	0.735805	+	0.294572i
$553$	9396.17	−	1810.96i	0.722542	−	0.139259i
$554$	4945.50	+	14289.1i	0.379267	+	1.09582i
$555$	−2653.31	−	3726.06i	−0.202931	−	0.284977i
$556$	1328.64	−	27891.5i	0.101343	−	2.12745i
$557$	18686.1	−	7480.79i	1.42146	−	0.569069i	0.471623	−	0.881800i	$-0.343668\pi$
$557$	18686.1	−	7480.79i	1.42146	−	0.569069i	0.949842	+	0.312731i	$0.101244\pi$
$558$	−12060.3	+	7750.66i	−0.914967	+	0.588014i
$559$	29055.2	−	14979.0i	2.19840	−	1.13335i
$560$	19761.0	+	22805.4i	1.49117	+	1.72090i
$561$	−190.517	+	55.9408i	−0.0143380	+	0.00421002i
$562$	−4804.18	+	13880.8i	−0.360591	+	1.04186i
$563$	−1555.26	+	10817.1i	−0.116424	+	0.809745i	0.845018	+	0.534737i	$0.179589\pi$
$563$	−1555.26	+	10817.1i	−0.116424	+	0.809745i	−0.961442	+	0.275008i	$0.911320\pi$
$564$	−18292.9	+	17442.3i	−1.36573	+	1.30222i
$565$	−14430.1	−	24993.6i	−1.07447	−	1.86104i
$566$	4239.02	−	7342.20i	0.314805	−	0.545257i
$567$	−174.014	−	717.297i	−0.0128888	−	0.0531282i
$568$	1947.90	+	1004.21i	0.143895	+	0.0741829i
$569$	−8279.98	+	790.642i	−0.610044	+	0.0582521i	−0.395506	−	0.918464i	$-0.629431\pi$
$569$	−8279.98	+	790.642i	−0.610044	+	0.0582521i	−0.214538	+	0.976716i	$0.568825\pi$
$570$	−31775.0	+	3034.15i	−2.33493	+	0.222959i
$571$	21329.0	+	10995.9i	1.56321	+	0.805889i	0.999794	−	0.0202875i	$-0.00645817\pi$
$571$	21329.0	+	10995.9i	1.56321	+	0.805889i	0.563412	+	0.826176i	$0.309488\pi$
$572$	−5831.12	−	24036.2i	−0.426243	−	1.75700i
$573$	2542.39	−	4403.55i	0.185358	−	0.321049i
$574$	−4435.27	−	7682.12i	−0.322517	−	0.558616i
$575$	9198.34	−	8770.59i	0.667125	−	0.636103i
$576$	−1038.85	+	7225.39i	−0.0751486	+	0.522670i
$577$	−1406.80	+	4064.67i	−0.101500	+	0.293266i	−0.984305	−	0.176474i	$-0.943531\pi$
$577$	−1406.80	+	4064.67i	−0.101500	+	0.293266i	0.882805	+	0.469740i	$0.155652\pi$
$578$	−24837.4	+	7292.91i	−1.78737	+	0.524818i
$579$	4331.29	+	4998.58i	0.310885	+	0.358780i
$580$	−39967.6	+	20604.7i	−2.86131	+	1.47511i
$581$	8364.10	−	5375.28i	0.597248	−	0.383828i
$582$	−16696.6	+	6684.30i	−1.18917	+	0.476071i
$583$	−212.000	+	4450.42i	−0.0150603	+	0.316154i
$584$	−29050.5	−	40795.8i	−2.05842	−	2.89065i
$585$	−4349.13	−	12566.0i	−0.307375	−	0.888101i
$586$	7329.10	−	1412.57i	0.516659	−	0.0995779i
$587$	9274.96	+	3713.13i	0.652161	+	0.261086i	0.674063	−	0.738674i	$-0.264548\pi$
$587$	9274.96	+	3713.13i	0.652161	+	0.261086i	−0.0219016	+	0.999760i	$0.506972\pi$
$588$	6465.87	−	14158.3i	0.453483	−	0.992989i
$589$	−20936.5	+	24162.0i	−1.46464	+	1.69029i
$590$	15354.2	−	63291.0i	1.07140	−	4.41635i
$591$	9724.64	+	9272.42i	0.676849	+	0.645375i
$592$	−11039.3	+	8681.42i	−0.766408	+	0.602710i
$593$	−735.808	−	15446.5i	−0.0509545	−	1.06967i	−0.869094	−	0.494647i	$-0.835298\pi$
$593$	−735.808	−	15446.5i	−0.0509545	−	1.06967i	0.818140	−	0.575019i	$-0.195006\pi$
$594$	−943.226	−	2065.38i	−0.0651532	−	0.142666i
$595$	689.909	+	202.576i	0.0475353	+	0.0139576i
$596$	32390.2	−	45485.6i	2.22610	−	3.12611i
$597$	3468.65	+	2727.78i	0.237793	+	0.187002i
$598$	3177.53	+	22100.2i	0.217289	+	1.51128i
$599$	−7796.44	−	1502.64i	−0.531809	−	0.102498i	−0.0837246	−	0.996489i	$-0.526682\pi$
$599$	−7796.44	−	1502.64i	−0.531809	−	0.102498i	−0.448085	+	0.893991i	$0.647894\pi$
$600$	37423.2	+	24050.4i	2.54633	+	1.63643i
$601$	11892.0	+	1135.55i	0.807132	+	0.0770718i	0.490461	−	0.871463i	$-0.336829\pi$
$601$	11892.0	+	1135.55i	0.807132	+	0.0770718i	0.316672	+	0.948535i	$0.397435\pi$
$602$	−20213.0			−1.36847
$603$	−4473.91	−	2084.69i	−0.302142	−	0.140788i
$604$	60525.2			4.07738
$605$	20348.6	+	1943.05i	1.36742	+	0.130572i
$606$	−8854.09	−	5690.18i	−0.593520	−	0.381432i
$607$	16833.8	+	3244.45i	1.12564	+	0.216949i	0.717898	−	0.696148i	$-0.245104\pi$
$607$	16833.8	+	3244.45i	1.12564	+	0.216949i	0.407741	+	0.913098i	$0.366317\pi$
$608$	6307.64	+	43870.6i	0.420738	+	2.92629i
$609$	−2553.38	−	2008.00i	−0.169898	−	0.133610i
$610$	25624.7	−	35984.8i	1.70084	−	2.38850i
$611$	−31562.4	−	9267.56i	−2.08982	−	0.613626i
$612$	310.517	+	679.937i	0.0205096	+	0.0449098i
$613$	−1166.90	−	24496.3i	−0.0768854	−	1.61402i	−0.627058	−	0.778972i	$-0.715741\pi$
$613$	−1166.90	−	24496.3i	−0.0768854	−	1.61402i	0.550173	−	0.835051i	$-0.314562\pi$
$614$	−1659.84	+	1305.32i	−0.109097	+	0.0857952i
$615$	−7579.40	−	7226.95i	−0.496961	−	0.473851i
$616$	−2160.31	+	8904.92i	−0.141301	+	0.582450i
$617$	−4361.57	+	5033.52i	−0.284587	+	0.328431i	−0.879986	−	0.474999i	$-0.842448\pi$
$617$	−4361.57	+	5033.52i	−0.284587	+	0.328431i	0.595399	+	0.803430i	$0.296994\pi$
$618$	−4933.03	+	10801.8i	−0.321093	+	0.703096i
$619$	12721.0	+	5092.70i	0.826007	+	0.330683i	0.745862	−	0.666100i	$-0.232038\pi$
$619$	12721.0	+	5092.70i	0.826007	+	0.330683i	0.0801445	+	0.996783i	$0.474462\pi$
$620$	111942.	−	21575.1i	7.25113	−	1.39754i
$621$	478.559	+	1382.71i	0.0309242	+	0.0893495i
$622$	−19982.5	−	28061.5i	−1.28815	−	1.80895i
$623$	−235.115	+	4935.68i	−0.0151199	+	0.317406i
$624$	−37901.5	+	15173.5i	−2.43153	+	0.973438i
$625$	8465.30	−	5440.31i	0.541779	−	0.348180i
$626$	−7487.08	+	3859.86i	−0.478026	+	0.246439i
$627$	−3315.95	−	3826.81i	−0.211206	−	0.243745i
$628$	12750.5	−	3743.90i	0.810194	−	0.237894i
$629$	−109.451	+	316.237i	−0.00693814	+	0.0200464i
$630$	−1170.15	+	8138.58i	−0.0739999	+	0.514681i
$631$	1089.74	−	1039.07i	0.0687511	−	0.0655540i	−0.654925	−	0.755694i	$-0.727300\pi$
$631$	1089.74	−	1039.07i	0.0687511	−	0.0655540i	0.723676	+	0.690140i	$0.242451\pi$
$632$	−33197.5	−	57499.7i	−2.08944	−	3.61901i
$633$	−3597.16	+	6230.46i	−0.225868	+	0.391214i
$634$	170.038	+	700.906i	0.0106515	+	0.0439062i
$635$	6939.69	+	3577.66i	0.433690	+	0.223583i
$636$	16696.8	−	1594.35i	1.04099	−	0.0994028i
$637$	20165.0	−	1925.52i	1.25426	−	0.119768i
$638$	−8881.80	−	4578.88i	−0.551150	−	0.284138i
$639$	73.5462	+	303.162i	0.00455312	+	0.0187682i
$640$	8982.68	−	15558.5i	0.554799	−	0.960940i
$641$	231.709	+	401.331i	0.0142776	+	0.0247295i	0.873076	−	0.487584i	$-0.162122\pi$
$641$	231.709	+	401.331i	0.0142776	+	0.0247295i	−0.858798	+	0.512314i	$0.828788\pi$
$642$	13882.8	−	13237.3i	0.853445	−	0.813758i
$643$	3434.16	−	23885.1i	0.210622	−	1.46491i	−0.560463	−	0.828179i	$-0.689377\pi$
$643$	3434.16	−	23885.1i	0.210622	−	1.46491i	0.771086	−	0.636732i	$-0.219714\pi$
$644$	3223.39	−	9313.39i	0.197235	−	0.569874i
$645$	−22897.0	+	6723.16i	−1.39778	+	0.410425i
$646$	1529.22	+	1764.81i	0.0931365	+	0.107485i
$647$	−12904.2	+	6652.60i	−0.784108	+	0.404236i	−0.803296	−	0.595580i	$-0.796922\pi$
$647$	−12904.2	+	6652.60i	−0.784108	+	0.404236i	0.0191877	+	0.999816i	$0.493892\pi$
$648$	−4308.32	+	2768.79i	−0.261184	+	0.167852i
$649$	9591.40	−	3839.82i	0.580116	−	0.232243i
$650$	−4597.73	+	96518.2i	−0.277443	+	5.82424i
$651$	4777.06	+	6708.45i	0.287600	+	0.403878i
$652$	10002.2	+	28899.4i	0.600791	+	1.73587i
$653$	−10041.7	+	1935.37i	−0.601777	+	0.115983i	−0.481036	−	0.876701i	$-0.659739\pi$
$653$	−10041.7	+	1935.37i	−0.601777	+	0.115983i	−0.120741	+	0.992684i	$0.538527\pi$
$654$	18775.2	+	7516.46i	1.12258	+	0.449414i
$655$	7864.98	−	17221.9i	0.469176	−	1.02735i
$656$	−21056.1	+	24300.0i	−1.25320	+	1.44627i
$657$	1680.73	−	6928.06i	0.0998044	−	0.411400i
$658$	14720.9	+	14036.4i	0.872160	+	0.831603i
$659$	2050.79	−	1612.76i	0.121225	−	0.0953325i	−0.555706	−	0.831379i	$-0.687552\pi$
$659$	2050.79	−	1612.76i	0.121225	−	0.0953325i	0.676931	+	0.736046i	$0.263310\pi$
$660$	859.130	+	18035.4i	0.0506691	+	1.06367i
$661$	−3942.34	−	8632.52i	−0.231981	−	0.507967i	0.757464	−	0.652877i	$-0.226438\pi$
$661$	−3942.34	−	8632.52i	−0.231981	−	0.507967i	−0.989445	+	0.144910i	$0.953711\pi$
$662$	14450.4	+	4243.01i	0.848383	+	0.249108i
$663$	−564.284	+	792.426i	−0.0330542	+	0.0464182i
$664$	−54226.1	−	42643.9i	−3.16925	−	2.49232i
$665$	2609.56	+	18149.9i	0.152172	+	1.05838i
$666$	−3757.53	−	724.205i	−0.218621	−	0.0421357i
$667$	5417.14	+	3481.39i	0.314472	+	0.202099i
$668$	−58037.3	−	5541.89i	−3.36157	−	0.320991i
$669$	−3205.32			−0.185239
$670$	37637.1	+	40082.4i	2.17022	+	2.31122i
$671$	7007.93			0.403187
$672$	11365.3	+	1085.25i	0.652419	+	0.0622985i
$673$	−16497.2	−	10602.1i	−0.944903	−	0.607252i	−0.0251217	−	0.999684i	$-0.507997\pi$
$673$	−16497.2	−	10602.1i	−0.944903	−	0.607252i	−0.919781	+	0.392432i	$0.871634\pi$
$674$	−36388.1	−	7013.23i	−2.07955	−	0.400801i
$675$	901.178	+	6267.83i	0.0513872	+	0.357406i
$676$	−60785.2	−	47802.0i	−3.45842	−	2.71973i
$677$	−2485.97	+	3491.06i	−0.141128	+	0.198187i	−0.879090	−	0.476656i	$-0.841849\pi$
$677$	−2485.97	+	3491.06i	−0.141128	+	0.198187i	0.737962	+	0.674842i	$0.235788\pi$
$678$	−23165.6	−	6802.05i	−1.31220	−	0.385297i
$679$	4291.90	+	9397.96i	0.242575	+	0.531164i
$680$	−237.387	−	4983.36i	−0.0133873	−	0.281034i
$681$	−4701.07	+	3696.96i	−0.264531	+	0.208029i
$682$	18335.2	+	17482.6i	1.02946	+	0.981587i
$683$	1024.36	−	4222.46i	0.0573880	−	0.236557i	−0.935893	−	0.352285i	$-0.885405\pi$
$683$	1024.36	−	4222.46i	0.0573880	−	0.236557i	0.993281	+	0.115728i	$0.0369201\pi$
$684$	−12483.0	+	14406.2i	−0.697807	+	0.805312i
$685$	18427.1	−	40349.7i	1.02783	−	2.25063i
$686$	−26970.8	−	10797.5i	−1.50110	−	0.600948i
$687$	14111.5	−	2719.77i	0.783680	−	0.151042i
$688$	23963.3	+	69237.5i	1.32790	+	3.83671i
$689$	12661.9	+	17781.2i	0.700116	+	0.983176i
$690$	775.558	−	16281.0i	0.0427898	−	0.898269i
$691$	−11234.2	+	4497.49i	−0.618478	+	0.247601i	−0.659676	−	0.751550i	$-0.729307\pi$
$691$	−11234.2	+	4497.49i	−0.618478	+	0.247601i	0.0411984	+	0.999151i	$0.486882\pi$
$692$	16086.8	−	10338.3i	0.883709	−	0.567926i
$693$	−1159.35	+	597.688i	−0.0635500	+	0.0327623i
$694$	14784.3	+	17061.9i	0.808649	+	0.933231i
$695$	−25454.5	+	7474.10i	−1.38927	+	0.407926i
$696$	−7371.66	+	21299.0i	−0.401469	+	1.15997i
$697$	−109.036	+	758.360i	−0.00592543	+	0.0412123i
$698$	−34479.9	+	32876.6i	−1.86975	+	1.78280i
$699$	−4856.80	−	8412.22i	−0.262805	−	0.455192i
$700$	21325.9	−	36937.6i	1.15149	−	1.99444i
$701$	3045.74	+	12554.7i	0.164103	+	0.676440i	0.993108	+	0.117200i	$0.0373919\pi$
$701$	3045.74	+	12554.7i	0.164103	+	0.676440i	−0.829006	+	0.559240i	$0.811093\pi$
$702$	−9887.58	−	5097.40i	−0.531599	−	0.274059i
$703$	−8495.28	+	811.201i	−0.455769	+	0.0435206i
$704$	12841.3	−	1226.20i	0.687466	−	0.0656450i
$705$	21344.4	+	11003.8i	1.14025	+	0.587839i
$706$	−203.098	−	837.183i	−0.0108268	−	0.0446286i
$707$	−3023.07	+	5236.11i	−0.160812	+	0.278535i
$708$	−19446.6	−	33682.5i	−1.03227	−	1.78794i
$709$	−13124.0	+	12513.7i	−0.695181	+	0.662854i	−0.952872	−	0.303373i	$-0.901887\pi$
$709$	−13124.0	+	12513.7i	−0.695181	+	0.662854i	0.257690	+	0.966228i	$0.417039\pi$
$710$	494.558	−	3439.73i	0.0261415	−	0.181818i
$711$	3091.14	−	8931.28i	0.163048	−	0.471096i
$712$	32896.2	−	9659.18i	1.73151	−	0.508417i
$713$	−10691.0	−	12338.1i	−0.561546	−	0.648059i
$714$	534.658	−	275.635i	0.0280239	−	0.0144473i
$715$	−19768.2	+	12704.3i	−1.03397	+	0.664493i
$716$	−49005.1	+	19618.7i	−2.55783	+	1.02400i
$717$	399.286	−	8382.05i	0.0207972	−	0.436588i
$718$	25796.4	+	36226.0i	1.34083	+	1.88293i
$719$	10746.1	+	31048.9i	0.557389	+	1.61047i	0.773289	+	0.634053i	$0.218610\pi$
$719$	10746.1	+	31048.9i	0.557389	+	1.61047i	−0.215901	+	0.976415i	$0.569269\pi$
$720$	29265.1	−	5640.39i	1.51479	−	0.291951i
$721$	6333.04	+	2535.37i	0.327122	+	0.130960i
$722$	−9672.45	+	21179.7i	−0.498575	+	1.09173i
$723$	11304.1	−	13045.6i	0.581472	−	0.671054i
$724$	8418.64	−	34702.1i	0.432150	−	1.78135i
$725$	20169.0	+	19231.1i	1.03319	+	0.985140i
$726$	13441.9	−	10570.8i	0.687158	−	0.540387i
$727$	−410.116	−	8609.40i	−0.0209221	−	0.439209i	−0.984889	−	0.173187i	$-0.944594\pi$
$727$	−410.116	−	8609.40i	−0.0209221	−	0.439209i	0.963967	−	0.266022i	$-0.0857095\pi$
$728$	18649.4	+	40836.6i	0.949442	+	2.07899i
$729$	−699.470	−	205.383i	−0.0355368	−	0.0104345i
$730$	−46065.4	+	64689.9i	−2.33556	+	3.27983i
$731$	1372.31	+	1079.19i	0.0694345	+	0.0546039i
$732$	−3754.50	−	26113.1i	−0.189577	−	1.31854i
$733$	30455.2	+	5869.76i	1.53464	+	0.295777i	0.885408	−	0.464815i	$-0.153879\pi$
$733$	30455.2	+	5869.76i	1.53464	+	0.295777i	0.649230	+	0.760592i	$0.275091\pi$
$734$	−41845.5	−	26892.4i	−2.10428	−	1.35234i
$735$	−14720.8	−	1405.66i	−0.738754	−	0.0705425i
$736$	−22632.5			−1.13348
$737$	−1716.20	+	8551.80i	−0.0857761	+	0.427422i
$738$	−8761.14			−0.436995
$739$	18881.0	+	1802.92i	0.939850	+	0.0897448i	0.553723	−	0.832701i	$-0.313207\pi$
$739$	18881.0	+	1802.92i	0.939850	+	0.0897448i	0.386127	+	0.922446i	$0.373813\pi$
$740$	25599.6	+	16451.9i	1.27170	+	0.817274i
$741$	−24359.8	−	4694.97i	−1.20767	−	0.232759i
$742$	−1920.91	−	13360.2i	−0.0950388	−	0.661009i
$743$	2922.94	+	2298.62i	0.144323	+	0.113497i	0.687710	−	0.725985i	$-0.258616\pi$
$743$	2922.94	+	2298.62i	0.144323	+	0.113497i	−0.543387	+	0.839482i	$0.682858\pi$
$744$	33145.6	−	46546.4i	1.63330	−	2.29365i
$745$	−50902.8	−	14946.4i	−2.50327	−	0.735026i
$746$	7668.42	+	16791.5i	0.376355	+	0.824102i
$747$	−467.245	−	9808.68i	−0.0228857	−	0.480429i
$748$	1038.32	−	816.545i	0.0507550	−	0.0399142i
$749$	−7975.15	−	7604.29i	−0.389059	−	0.370967i
$750$	7766.69	−	32014.7i	0.378132	−	1.55868i
$751$	−4999.41	+	5769.63i	−0.242918	+	0.280342i	−0.864096	−	0.503328i	$-0.832109\pi$
$751$	−4999.41	+	5769.63i	−0.242918	+	0.280342i	0.621178	+	0.783669i	$0.286654\pi$
$752$	30627.8	−	67065.6i	1.48522	−	3.25217i
$753$	5519.04	+	2209.49i	0.267098	+	0.106930i
$754$	−48072.3	+	9265.17i	−2.32187	+	0.447504i
$755$	−18807.5	−	54340.8i	−0.906591	−	2.61942i
$756$	2848.24	+	3999.79i	0.137023	+	0.192422i
$757$	−1269.95	+	26659.5i	−0.0609737	+	1.28000i	0.736415	+	0.676530i	$0.236517\pi$
$757$	−1269.95	+	26659.5i	−0.0609737	+	1.28000i	−0.797389	+	0.603466i	$0.793786\pi$
$758$	14054.5	−	5626.58i	0.673460	−	0.269613i
$759$	2175.21	−	1397.92i	0.104025	−	0.0668529i
$760$	113085.	−	58299.1i	5.39738	−	2.78254i
$761$	−12944.9	−	14939.2i	−0.616625	−	0.711623i	0.358437	−	0.933554i	$-0.383310\pi$
$761$	−12944.9	−	14939.2i	−0.616625	−	0.711623i	−0.975063	+	0.221930i	$0.928764\pi$
$762$	6267.08	−	1840.18i	0.297943	−	0.0874839i
$763$	3799.82	−	10978.9i	0.180292	−	0.520920i
$764$	−4814.05	+	33482.5i	−0.227966	+	1.58554i
$765$	513.972	−	490.071i	0.0242911	−	0.0231615i
$766$	15089.6	+	26136.0i	0.711764	+	1.23281i
$767$	25308.5	−	43835.7i	1.19145	−	2.06364i
$768$	1045.94	+	4311.41i	0.0491433	+	0.202571i
$769$	25450.0	+	13120.4i	1.19343	+	0.615258i	0.936329	−	0.351125i	$-0.114201\pi$
$769$	25450.0	+	13120.4i	1.19343	+	0.615258i	0.257106	+	0.966383i	$0.417231\pi$
$770$	14464.3	−	1381.17i	0.676958	−	0.0646417i
$771$	12599.3	−	1203.09i	0.588527	−	0.0561975i
$772$	−39109.1	−	20162.1i	−1.82327	−	0.939963i
$773$	6510.27	+	26835.7i	0.302921	+	1.24866i	0.896196	+	0.443658i	$0.146319\pi$
$773$	6510.27	+	26835.7i	0.302921	+	1.24866i	−0.593275	+	0.805000i	$0.702165\pi$
$774$	−9981.85	+	17289.1i	−0.463553	+	0.802898i
$775$	−35326.7	−	61187.7i	−1.63739	−	2.83603i
$776$	51881.3	−	49468.7i	2.40004	−	2.28843i
$777$	−312.848	+	2175.91i	−0.0144445	+	0.100464i
$778$	13417.9	−	38768.6i	0.618324	−	1.78653i
$779$	−18746.8	+	5504.57i	−0.862228	+	0.253173i
$780$	57929.7	+	66854.5i	2.65925	+	3.06894i
$781$	489.994	−	252.609i	0.0224499	−	0.0115737i
$782$	−1003.14	+	644.680i	−0.0458724	+	0.0294804i
$783$	−2978.47	+	1192.40i	−0.135941	+	0.0544226i
$784$	−2160.31	+	45350.5i	−0.0984107	+	2.06589i
$785$	−7323.43	−	10284.3i	−0.332974	−	0.467597i
$786$	−5180.34	−	14967.6i	−0.235085	−	0.679232i
$787$	−16396.5	+	3160.17i	−0.742658	+	0.143136i	−0.546526	−	0.837442i	$-0.684050\pi$
$787$	−16396.5	+	3160.17i	−0.742658	+	0.143136i	−0.196132	+	0.980578i	$0.562838\pi$
$788$	−82985.6	−	33222.4i	−3.75157	−	1.50190i
$789$	−7164.88	+	15688.9i	−0.323291	+	0.707908i
$790$	−68945.4	+	79567.2i	−3.10502	+	3.58338i
$791$	−3269.88	+	13478.6i	−0.146983	+	0.605872i
$792$	6549.94	+	6245.35i	0.293866	+	0.280201i
$793$	26988.4	−	21223.9i	1.20856	−	0.950421i
$794$	−2097.69	−	44035.9i	−0.0937583	−	1.96823i
$795$	−6619.79	−	14495.3i	−0.295320	−	0.646662i
$796$	−28166.9	−	8270.54i	−1.25421	−	0.368268i
$797$	588.509	−	826.446i	0.0261557	−	0.0367305i	−0.801291	−	0.598275i	$-0.795853\pi$
$797$	588.509	−	826.446i	0.0261557	−	0.0367305i	0.827447	+	0.561544i	$0.189793\pi$
$798$	12058.0	+	9482.50i	0.534897	+	0.420647i
$799$	−250.020	−	1738.93i	−0.0110702	−	0.0769948i
$800$	−96177.7	−	18536.7i	−4.25049	−	0.819216i
$801$	4105.60	+	2638.51i	0.181104	+	0.116388i
$802$	7487.47	+	714.967i	0.329666	+	0.0314793i
$803$	−12598.1			−0.553647
$804$	32785.3	+	1813.31i	1.43812	+	0.0795403i
$805$	−9363.39			−0.409958
$806$	123558.	+	11798.4i	5.39969	+	0.515607i
$807$	5441.19	+	3496.84i	0.237347	+	0.152533i
$808$	41192.9	+	7939.27i	1.79351	+	0.345672i
$809$	872.299	+	6066.98i	0.0379090	+	0.263663i	0.999958	−	0.00921536i	$-0.00293338\pi$
$809$	872.299	+	6066.98i	0.0379090	+	0.263663i	−0.962048	+	0.272879i	$0.912024\pi$
$810$	6383.43	+	5019.99i	0.276902	+	0.217758i
$811$	3335.00	−	4683.36i	0.144399	−	0.202780i	−0.736042	−	0.676936i	$-0.763307\pi$
$811$	3335.00	−	4683.36i	0.144399	−	0.202780i	0.880441	+	0.474156i	$0.157247\pi$
$812$	20734.5	+	6088.19i	0.896106	+	0.263120i
$813$	7809.65	+	17100.8i	0.336896	+	0.737700i
$814$	321.767	+	6754.72i	0.0138549	+	0.290851i
$815$	22838.4	−	17960.3i	0.981590	−	0.771931i
$816$	−1578.02	−	1504.64i	−0.0676981	−	0.0645500i
$817$	−10496.3	+	43266.2i	−0.449471	+	1.85275i
$818$	−6865.66	+	7923.39i	−0.293462	+	0.338673i
$819$	−2654.68	+	5812.93i	−0.113262	+	0.248010i
$820$	64679.2	+	25893.6i	2.75451	+	1.10274i
$821$	−2098.64	+	404.480i	−0.0892121	+	0.0171942i	−0.233662	−	0.972318i	$-0.575071\pi$
$821$	−2098.64	+	404.480i	−0.0892121	+	0.0171942i	0.144450	+	0.989512i	$0.453859\pi$
$822$	−12137.2	−	35068.0i	−0.515002	−	1.48800i
$823$	−5508.43	−	7735.51i	−0.233307	−	0.327634i	0.681280	−	0.732023i	$-0.261424\pi$
$823$	−5508.43	−	7735.51i	−0.233307	−	0.327634i	−0.914587	+	0.404389i	$0.867484\pi$
$824$	2252.15	−	47278.5i	0.0952154	−	1.99882i
$825$	10388.6	−	4158.97i	0.438406	−	0.175511i
$826$	−26330.1	+	16921.3i	−1.10913	+	0.712794i
$827$	−6721.98	+	3465.42i	−0.282643	+	0.145713i	−0.593719	−	0.804672i	$-0.702341\pi$
$827$	−6721.98	+	3465.42i	−0.282643	+	0.145713i	0.311076	+	0.950385i	$0.399311\pi$
$828$	−6374.33	−	7356.37i	−0.267540	−	0.308758i
$829$	−2975.23	+	873.607i	−0.124649	+	0.0366003i	−0.343462	−	0.939167i	$-0.611600\pi$
$829$	−2975.23	+	873.607i	−0.124649	+	0.0366003i	0.218813	+	0.975767i	$0.429782\pi$
$830$	−35778.0	+	103374.i	−1.49623	+	4.32307i
$831$	1220.94	−	8491.80i	0.0509673	−	0.354485i
$832$	45739.9	−	43612.9i	1.90595	−	1.81732i
$833$	540.922	+	936.905i	0.0224992	+	0.0389698i
$834$	−11096.8	+	19220.2i	−0.460731	+	0.798010i
$835$	13058.8	+	53829.1i	0.541220	+	2.23094i
$836$	29941.2	+	15435.7i	1.23868	+	0.638584i
$837$	8097.10	−	773.180i	0.334381	−	0.0319295i
$838$	−2490.49	+	237.813i	−0.102664	+	0.00980323i
$839$	28843.8	+	14870.0i	1.18689	+	0.611883i	0.934576	−	0.355763i	$-0.115779\pi$
$839$	28843.8	+	14870.0i	1.18689	+	0.611883i	0.252311	+	0.967646i	$0.418809\pi$
$840$	−7726.54	−	31849.2i	−0.317370	−	1.30822i
$841$	5134.75	−	8893.64i	0.210535	−	0.364658i
$842$	30692.2	+	53160.5i	1.25620	+	2.17581i
$843$	6031.58	−	5751.10i	0.246428	−	0.234968i
$844$	6811.26	−	47373.4i	0.277788	−	1.93206i
$845$	−24029.3	+	69428.2i	−0.978265	+	2.82651i
$846$	19275.6	−	5659.83i	0.783344	−	0.230011i
$847$	−6433.08	−	7424.17i	−0.260972	−	0.301178i
$848$	−43486.6	+	22418.9i	−1.76101	+	0.907864i
$849$	−4046.63	+	2600.61i	−0.163581	+	0.105127i
$850$	−4790.91	+	1917.99i	−0.193326	+	0.0773959i
$851$	207.351	−	4352.83i	0.00835240	−	0.175338i
$852$	−1203.79	−	1690.49i	−0.0484052	−	0.0679756i
$853$	−7107.51	−	20535.8i	−0.285295	−	0.824305i	−0.993034	−	0.117831i	$-0.962406\pi$
$853$	−7107.51	−	20535.8i	−0.285295	−	0.824305i	0.707739	−	0.706474i	$-0.249715\pi$
$854$	−20846.5	+	4017.84i	−0.835308	+	0.160992i
$855$	16813.1	+	6730.96i	0.672510	+	0.269233i
$856$	−31761.9	+	69548.8i	−1.26822	+	2.77702i
$857$	21756.4	−	25108.2i	0.867193	−	1.00079i	−0.132760	−	0.991148i	$-0.542384\pi$
$857$	21756.4	−	25108.2i	0.867193	−	1.00079i	0.999953	−	0.00964594i	$-0.00307044\pi$
$858$	−4634.62	+	19104.1i	−0.184409	+	0.760146i
$859$	−22479.1	−	21433.8i	−0.892872	−	0.851352i	0.0967116	−	0.995312i	$-0.469168\pi$
$859$	−22479.1	−	21433.8i	−0.892872	−	0.851352i	−0.989583	+	0.143961i	$0.954016\pi$
$860$	124789.	−	98135.2i	4.94799	−	3.89114i
$861$	239.477	+	5027.23i	0.00947891	+	0.198987i
$862$	−7072.06	−	15485.6i	−0.279438	−	0.611883i
$863$	−11270.4	−	3309.29i	−0.444553	−	0.130532i	0.0517921	−	0.998658i	$-0.483507\pi$
$863$	−11270.4	−	3309.29i	−0.444553	−	0.130532i	−0.496345	+	0.868125i	$0.665325\pi$
$864$	6540.82	−	9185.30i	0.257550	−	0.361679i
$865$	−14280.8	−	11230.5i	−0.561341	−	0.441444i
$866$	−7102.37	−	49398.1i	−0.278693	−	1.93835i
$867$	14421.6	+	2779.54i	0.564918	+	0.108879i
$868$	−46089.9	−	29620.2i	−1.80230	−	1.15827i
$869$	−16626.0	−	1587.59i	−0.649019	−	0.0619738i
$870$	35739.5			1.39274
$871$	19290.3	+	38131.6i	0.750434	+	1.48340i
$872$	−80610.1			−3.13051
$873$	10158.0	+	969.969i	0.393809	+	0.0376042i
$874$	−25581.7	−	16440.4i	−0.990062	−	0.636274i
$875$	−18582.7	−	3581.52i	−0.717953	−	0.138374i
$876$	6749.45	+	46943.4i	0.260323	+	1.81058i
$877$	−23982.2	−	18859.8i	−0.923398	−	0.726168i	0.0385914	−	0.999255i	$-0.487713\pi$
$877$	−23982.2	−	18859.8i	−0.923398	−	0.726168i	−0.961989	+	0.273087i	$0.911955\pi$
$878$	−7575.40	+	10638.2i	−0.291182	+	0.408907i
$879$	−4063.34	−	1193.10i	−0.155919	−	0.0457821i
$880$	−21879.1	−	47908.5i	−0.838118	−	1.83522i
$881$	−1645.35	−	34540.0i	−0.0629207	−	1.32087i	−0.780836	−	0.624736i	$-0.785206\pi$
$881$	−1645.35	−	34540.0i	−0.0629207	−	1.32087i	0.717915	−	0.696131i	$-0.245097\pi$
$882$	−9724.31	+	7647.28i	−0.371241	+	0.291947i
$883$	−11213.7	−	10692.3i	−0.427374	−	0.407501i	0.445627	−	0.895219i	$-0.352981\pi$
$883$	−11213.7	−	10692.3i	−0.427374	−	0.407501i	−0.873001	+	0.487718i	$0.837829\pi$
$884$	1525.75	−	6289.23i	0.0580504	−	0.239287i
$885$	−24198.0	+	27926.0i	−0.919104	+	1.06070i
$886$	7315.99	−	16019.8i	0.277410	−	0.607443i
$887$	−14003.3	−	5606.07i	−0.530084	−	0.212214i	0.0911521	−	0.995837i	$-0.470945\pi$
$887$	−14003.3	−	5606.07i	−0.530084	−	0.212214i	−0.621236	+	0.783623i	$0.713369\pi$
$888$	14977.1	−	2886.60i	0.565989	−	0.109085i
$889$	−1227.22	−	3545.82i	−0.0462988	−	0.133771i
$890$	−31535.1	−	44284.9i	−1.18771	−	1.66790i
$891$	−61.2980	+	1286.80i	−0.00230478	+	0.0483833i
$892$	19796.1	−	7925.18i	0.743076	−	0.297483i
$893$	37689.4	−	24221.5i	1.41235	−	0.907661i
$894$	−39448.1	+	20336.9i	−1.47577	+	0.760814i
$895$	32841.9	+	37901.5i	1.22657	+	1.41554i
$896$	−8284.05	+	2432.42i	−0.308874	+	0.0906935i
$897$	4143.31	−	11971.3i	0.154227	−	0.445608i
$898$	12031.1	−	83677.9i	0.447084	−	3.10954i
$899$	25907.5	−	24702.8i	0.961139	−	0.916444i
$900$	−21062.9	−	36482.0i	−0.780108	−	1.35119i
$901$	−582.901	+	1009.61i	−0.0215530	+	0.0373309i
$902$	3650.11	+	15045.9i	0.134740	+	0.555405i
$903$	10193.5	+	5255.11i	0.375657	+	0.193665i
$904$	95798.0	−	9147.60i	3.52455	−	0.336554i
$905$	−33772.3	+	3224.86i	−1.24047	+	0.118451i
$906$	−42758.2	−	22043.4i	−1.56793	−	0.808326i
$907$	10070.2	+	41509.8i	0.368660	+	1.51964i	0.790212	+	0.612833i	$0.209970\pi$
$907$	10070.2	+	41509.8i	0.368660	+	1.51964i	−0.421552	+	0.906804i	$0.638515\pi$
$908$	19893.1	−	34455.9i	0.727067	−	1.25932i
$909$	2985.78	+	5171.53i	0.108946	+	0.188700i
$910$	51520.9	−	49125.1i	1.87681	−	1.78954i
$911$	1526.00	−	10613.6i	0.0554981	−	0.385997i	−0.943074	−	0.332582i	$-0.892080\pi$
$911$	1526.00	−	10613.6i	0.0554981	−	0.385997i	0.998572	−	0.0534154i	$-0.0170107\pi$
$912$	18186.1	−	52545.2i	0.660307	−	1.90783i
$913$	−16650.3	+	4888.96i	−0.603552	+	0.177219i
$914$	35157.1	+	40573.4i	1.27231	+	1.46833i
$915$	−22278.2	+	11485.2i	−0.804913	+	0.414961i
$916$	−80428.3	+	51688.1i	−2.90112	+	1.86444i
$917$	−8446.97	+	3381.66i	−0.304191	+	0.121780i
$918$	28.2688	−	593.435i	0.00101635	−	0.0213358i
$919$	22700.1	+	31877.9i	0.814808	+	1.14424i	0.987244	+	0.159216i	$0.0508968\pi$
$919$	22700.1	+	31877.9i	0.814808	+	1.14424i	−0.172436	+	0.985021i	$0.555164\pi$
$920$	21248.8	+	61394.5i	0.761471	+	2.20013i
$921$	1176.43	−	226.738i	0.0420898	−	0.00811214i
$922$	−71470.8	−	28612.6i	−2.55289	−	1.02202i
$923$	1121.98	−	2456.80i	0.0400114	−	0.0876128i
$924$	5682.39	−	6557.83i	0.202313	−	0.233481i
$925$	4446.26	−	18327.7i	0.158045	−	0.651472i
$926$	6344.03	+	6049.02i	0.225138	+	0.214669i
$927$	5296.08	−	4164.88i	0.187644	−	0.147565i
$928$	−2361.29	−	49569.6i	−0.0835272	−	1.75345i
$929$	−72.5473	−	158.856i	−0.00256211	−	0.00561024i	0.908347	−	0.418218i	$-0.137345\pi$
$929$	−72.5473	−	158.856i	−0.00256211	−	0.00561024i	−0.910909	+	0.412608i	$0.864618\pi$
$930$	−86939.5	−	25527.8i	−3.06544	−	0.900095i
$931$	−16003.1	+	22473.2i	−0.563350	+	0.791115i
$932$	50794.9	+	39945.5i	1.78524	+	1.40393i
$933$	2781.64	+	19346.7i	0.0976064	+	0.678868i
$934$	54702.8	+	10543.1i	1.91641	+	0.369359i
$935$	−1055.76	−	678.494i	−0.0369272	−	0.0237317i
$936$	44139.0	+	4214.77i	1.54138	+	0.147184i
$937$	−15907.5			−0.554615			−0.277307	−	0.960781i	$-0.589442\pi$
$937$	−15907.5			−0.554615			−0.277307	+	0.960781i	$0.589442\pi$
$938$	202.201	−	26423.0i	0.00703847	−	0.919767i
$939$	4779.28			0.166098
$940$	−159030.	−	15185.5i	−5.51807	−	0.526912i
$941$	21098.2	+	13559.0i	0.730906	+	0.469725i	0.852415	−	0.522865i	$-0.175137\pi$
$941$	21098.2	+	13559.0i	0.730906	+	0.469725i	−0.121509	+	0.992590i	$0.538773\pi$
$942$	−10371.2	−	1998.88i	−0.358717	−	0.0691371i
$943$	−1419.88	−	9875.48i	−0.0490325	−	0.341029i
$944$	89177.4	+	70129.9i	3.07466	+	2.41794i
$945$	2706.04	−	3800.10i	0.0931506	−	0.130812i
$946$	33850.1	+	9939.28i	1.16338	+	0.341600i
$947$	−11505.0	−	25192.5i	−0.394787	−	0.864462i	−0.997772	−	0.0667103i	$-0.978750\pi$
$947$	−11505.0	−	25192.5i	−0.394787	−	0.864462i	0.602986	−	0.797752i	$-0.293978\pi$
$948$	2991.66	+	62802.6i	0.102494	+	2.15162i
$949$	−48517.0	+	38154.2i	−1.65957	+	1.30510i
$950$	−95245.5	−	90816.4i	−3.25281	−	3.10155i
$951$	96.4754	−	397.677i	0.00328962	−	0.0135600i
$952$	−1570.10	+	1812.00i	−0.0534531	+	0.0616882i
$953$	13766.0	−	30143.4i	0.467918	−	1.02460i	−0.517693	−	0.855566i	$-0.673209\pi$
$953$	13766.0	−	30143.4i	0.467918	−	1.02460i	0.985611	−	0.169030i	$-0.0540636\pi$
$954$	−12376.2	−	4954.68i	−0.420015	−	0.168148i
$955$	31557.2	−	6082.14i	1.06928	−	0.206087i
$956$	18258.6	+	52754.9i	0.617706	+	1.78474i
$957$	3288.67	+	4618.30i	0.111084	+	0.155996i
$958$	3471.81	−	72882.2i	0.117087	−	2.45795i
$959$	−19790.6	+	7922.97i	−0.666395	+	0.266784i
$960$	−38813.0	+	24943.6i	−1.30488	+	0.838594i
$961$	−54187.6	+	27935.6i	−1.81892	+	0.937721i
$962$	21696.2	+	25038.8i	0.727145	+	0.839171i
$963$	−10442.7	+	3066.25i	−0.349440	+	0.102605i
$964$	−37559.0	+	108519.i	−1.25487	+	3.62570i
$965$	−5949.28	+	41378.1i	−0.198460	+	1.38032i
$966$	−5669.13	+	5405.51i	−0.188821	+	0.180041i
$967$	3070.95	+	5319.04i	0.102125	+	0.176886i	0.912560	−	0.408943i	$-0.134102\pi$
$967$	3070.95	+	5319.04i	0.102125	+	0.176886i	−0.810435	+	0.585829i	$0.800769\pi$
$968$	−34080.4	+	59029.0i	−1.13160	+	1.95998i
$969$	−312.363	−	1287.58i	−0.0103556	−	0.0426862i
$970$	−101036.	−	52087.4i	−3.34439	−	1.72415i
$971$	−6793.97	+	648.745i	−0.224540	+	0.0214410i	−0.206720	−	0.978400i	$-0.566279\pi$
$971$	−6793.97	+	648.745i	−0.224540	+	0.0214410i	−0.0178206	+	0.999841i	$0.505673\pi$
$972$	4827.75	−	460.994i	0.159311	−	0.0152123i
$973$	11332.1	+	5842.08i	0.373370	+	0.192486i
$974$	12243.2	+	50467.1i	0.402769	+	1.66024i
$975$	27412.1	−	47479.2i	0.900400	−	1.55954i
$976$	38477.0	+	66644.1i	1.26190	+	2.18568i
$977$	4572.96	−	4360.31i	0.149746	−	0.142783i	−0.611503	−	0.791242i	$-0.709435\pi$
$977$	4572.96	−	4360.31i	0.149746	−	0.142783i	0.761249	+	0.648459i	$0.224586\pi$
$978$	3459.15	−	24058.9i	0.113100	−	0.786625i
$979$	2820.75	−	8150.01i	0.0920853	−	0.266063i
$980$	94391.3	−	27715.8i	3.07676	−	0.903417i
$981$	−7514.23	−	8671.89i	−0.244558	−	0.282235i
$982$	77003.9	−	39698.3i	2.50234	−	1.29004i
$983$	32109.2	−	20635.3i	1.04184	−	0.669547i	0.0963957	−	0.995343i	$-0.469269\pi$
$983$	32109.2	−	20635.3i	1.04184	−	0.669547i	0.945440	+	0.325796i	$0.105632\pi$
$984$	32419.4	−	12978.8i	1.05030	−	0.420476i
$985$	−4040.94	+	84829.7i	−0.130716	+	2.74406i
$986$	−1516.64	−	2129.82i	−0.0489854	−	0.0687903i
$987$	−3774.55	−	10905.8i	−0.121728	−	0.351709i
$988$	162055.	−	31233.6i	5.21828	−	1.00574i
$989$	−21105.8	−	8449.50i	−0.678590	−	0.271667i
$990$	5961.58	−	13054.0i	0.191385	−	0.419075i
$991$	−7059.21	+	8146.76i	−0.226280	+	0.261141i	−0.857525	−	0.514443i	$-0.827999\pi$
$991$	−7059.21	+	8146.76i	−0.226280	+	0.261141i	0.631245	+	0.775583i	$0.282544\pi$
$992$	−29662.2	+	122269.i	−0.949370	+	3.91336i
$993$	−6184.25	−	5896.67i	−0.197635	−	0.188444i
$994$	−1312.76	+	1032.36i	−0.0418894	+	0.0329422i
$995$	1327.08	+	27858.8i	0.0422826	+	0.887620i
$996$	27137.7	+	59423.3i	0.863344	+	1.89046i
$997$	46541.3	+	13665.8i	1.47841	+	0.434102i	0.918824	−	0.394668i	$-0.129140\pi$
$997$	46541.3	+	13665.8i	1.47841	+	0.434102i	0.559591	+	0.828769i	$0.310958\pi$
$998$	22069.4	−	30992.2i	0.699996	−	0.983007i
$999$	1706.65	+	1342.13i	0.0540502	+	0.0425055i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	201.4.m.b.4.18	✓	360
67.17	even	33	inner	201.4.m.b.151.18	yes	360

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
201.4.m.b.4.18	✓	360	1.1	even	1	trivial
201.4.m.b.151.18	yes	360	67.17	even	33	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:	\( N \)	\(=\)	\( 201 = 3 \cdot 67 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	201.m (of order \(33\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(5.26356 + 0.502609i) q^{2} +(-2.52376 - 1.62192i) q^{3} +(19.5970 + 3.77701i) q^{4} +(-2.69847 - 18.7683i) q^{5} +(-12.4688 - 9.80555i) q^{6} +(-5.28570 + 7.42273i) q^{7} +(60.6650 + 17.8129i) q^{8} +(3.73874 + 8.18669i) q^{9} +O(q^{10})\)	\(q+(5.26356 + 0.502609i) q^{2} +(-2.52376 - 1.62192i) q^{3} +(19.5970 + 3.77701i) q^{4} +(-2.69847 - 18.7683i) q^{5} +(-12.4688 - 9.80555i) q^{6} +(-5.28570 + 7.42273i) q^{7} +(60.6650 + 17.8129i) q^{8} +(3.73874 + 8.18669i) q^{9} +(-4.77045 - 100.144i) q^{10} +(12.5018 - 9.83149i) q^{11} +(-43.3321 - 41.3171i) q^{12} +(18.3706 - 75.7246i) q^{13} +(-31.5523 + 36.4133i) q^{14} +(-23.6304 + 51.7433i) q^{15} +(162.136 + 64.9097i) q^{16} +(4.08631 - 0.787571i) q^{17} +(15.5643 + 44.9702i) q^{18} +(61.5587 + 86.4471i) q^{19} +(18.0060 - 377.993i) q^{20} +(25.3789 - 10.1602i) q^{21} +(70.7451 - 45.4651i) q^{22} +(-48.1676 + 24.8321i) q^{23} +(-124.213 - 143.349i) q^{24} +(-225.029 + 66.0744i) q^{25} +(134.754 - 389.347i) q^{26} +(3.84250 - 26.7252i) q^{27} +(-131.620 + 125.499i) q^{28} +(-59.4128 - 102.906i) q^{29} +(-150.386 + 260.477i) q^{30} +(71.0240 + 292.765i) q^{31} +(371.210 + 191.372i) q^{32} +(-47.4974 + 4.53545i) q^{33} +(21.9043 - 2.09161i) q^{34} +(153.575 + 79.1734i) q^{35} +(42.3468 + 174.556i) q^{36} +(-40.2068 + 69.6403i) q^{37} +(280.569 + 485.959i) q^{38} +(-169.182 + 161.315i) q^{39} +(170.614 - 1186.64i) q^{40} +(-60.2152 + 173.980i) q^{41} +(138.690 - 40.7231i) q^{42} +(274.724 + 317.049i) q^{43} +(282.131 - 145.448i) q^{44} +(143.561 - 92.2610i) q^{45} +(-266.014 + 106.496i) q^{46} +(20.0870 - 421.678i) q^{47} +(-303.915 - 426.789i) q^{48} +(85.0260 + 245.667i) q^{49} +(-1217.66 + 234.685i) q^{50} +(-11.5902 - 4.64003i) q^{51} +(646.021 - 1414.59i) q^{52} +(-183.452 + 211.715i) q^{53} +(33.6575 - 138.738i) q^{54} +(-218.256 - 208.106i) q^{55} +(-452.877 + 356.147i) q^{56} +(-15.1489 - 318.015i) q^{57} +(-261.001 - 571.513i) q^{58} +(623.282 + 183.012i) q^{59} +(-658.519 + 924.761i) q^{60} +(346.356 + 272.377i) q^{61} +(226.693 + 1576.68i) q^{62} +(-80.5294 - 15.5208i) q^{63} +(682.321 + 438.501i) q^{64} +(-1470.79 - 140.443i) q^{65} -252.285 q^{66} +(-417.203 + 355.956i) q^{67} +83.0540 q^{68} +(161.839 + 15.4538i) q^{69} +(768.558 + 493.922i) q^{70} +(34.0353 + 6.55977i) q^{71} +(80.9821 + 563.243i) q^{72} +(-622.643 - 489.652i) q^{73} +(-246.633 + 346.347i) q^{74} +(675.087 + 198.223i) q^{75} +(879.853 + 1926.61i) q^{76} +(6.89594 + 144.764i) q^{77} +(-971.579 + 764.058i) q^{78} +(-760.007 - 724.666i) q^{79} +(780.721 - 3218.17i) q^{80} +(-53.0437 + 61.2157i) q^{81} +(-404.390 + 885.490i) q^{82} +(-1012.93 - 405.517i) q^{83} +(535.726 - 103.253i) q^{84} +(-25.8081 - 74.5676i) q^{85} +(1286.68 + 1806.88i) q^{86} +(-16.9618 + 356.073i) q^{87} +(933.546 - 373.736i) q^{88} +(456.177 - 293.167i) q^{89} +(802.013 - 413.466i) q^{90} +(464.982 + 536.617i) q^{91} +(-1037.73 + 304.706i) q^{92} +(295.594 - 854.064i) q^{93} +(317.668 - 2209.43i) q^{94} +(1456.35 - 1388.62i) q^{95} +(-626.454 - 1085.05i) q^{96} +(566.899 - 981.897i) q^{97} +(324.065 + 1335.81i) q^{98} +(127.228 + 65.5907i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 360 q - 2 q^{2} + 108 q^{3} + 90 q^{4} + 4 q^{5} - 27 q^{6} - 22 q^{7} + 183 q^{8} - 324 q^{9}+O(q^{10}) \) 360 * q - 2 * q^2 + 108 * q^3 + 90 * q^4 + 4 * q^5 - 27 * q^6 - 22 * q^7 + 183 * q^8 - 324 * q^9	\( 360 q - 2 q^{2} + 108 q^{3} + 90 q^{4} + 4 q^{5} - 27 q^{6} - 22 q^{7} + 183 q^{8} - 324 q^{9} + 19 q^{10} + 192 q^{11} - 105 q^{12} + 46 q^{13} - 14 q^{14} + 54 q^{15} + 346 q^{16} + 228 q^{17} - 18 q^{18} + 88 q^{19} + 180 q^{20} + 66 q^{21} - 247 q^{22} + 676 q^{23} + 144 q^{24} - 1120 q^{25} + 333 q^{26} + 972 q^{27} - 3894 q^{28} - 2210 q^{29} + 702 q^{30} + 96 q^{31} - 1970 q^{32} - 708 q^{33} - 26 q^{34} + 1272 q^{35} + 315 q^{36} - 3616 q^{37} - 20 q^{38} - 138 q^{39} - 5357 q^{40} + 288 q^{41} - 618 q^{42} - 1680 q^{43} + 2951 q^{44} + 36 q^{45} - 1125 q^{46} - 40 q^{47} - 1038 q^{48} - 4954 q^{49} - 3590 q^{50} - 90 q^{51} + 9120 q^{52} + 3896 q^{53} + 54 q^{54} - 1076 q^{55} + 3557 q^{56} + 660 q^{57} + 3232 q^{58} + 116 q^{59} + 3618 q^{60} - 672 q^{61} + 3882 q^{62} - 1584 q^{63} - 11581 q^{64} - 15380 q^{65} - 5166 q^{66} - 288 q^{67} + 13898 q^{68} - 1632 q^{69} - 5058 q^{70} - 15102 q^{71} - 2016 q^{72} - 146 q^{73} - 3531 q^{74} + 3360 q^{75} + 10770 q^{76} + 3594 q^{77} + 1905 q^{78} + 2852 q^{79} + 27997 q^{80} - 2916 q^{81} + 8824 q^{82} + 5278 q^{83} + 6765 q^{84} - 5290 q^{85} + 5973 q^{86} + 228 q^{87} + 13872 q^{88} + 1462 q^{89} + 171 q^{90} + 74 q^{91} - 3144 q^{92} + 3144 q^{93} + 3262 q^{94} + 1600 q^{95} - 855 q^{96} + 6626 q^{97} + 15491 q^{98} + 144 q^{99}+O(q^{100}) \) 360 * q - 2 * q^2 + 108 * q^3 + 90 * q^4 + 4 * q^5 - 27 * q^6 - 22 * q^7 + 183 * q^8 - 324 * q^9 + 19 * q^10 + 192 * q^11 - 105 * q^12 + 46 * q^13 - 14 * q^14 + 54 * q^15 + 346 * q^16 + 228 * q^17 - 18 * q^18 + 88 * q^19 + 180 * q^20 + 66 * q^21 - 247 * q^22 + 676 * q^23 + 144 * q^24 - 1120 * q^25 + 333 * q^26 + 972 * q^27 - 3894 * q^28 - 2210 * q^29 + 702 * q^30 + 96 * q^31 - 1970 * q^32 - 708 * q^33 - 26 * q^34 + 1272 * q^35 + 315 * q^36 - 3616 * q^37 - 20 * q^38 - 138 * q^39 - 5357 * q^40 + 288 * q^41 - 618 * q^42 - 1680 * q^43 + 2951 * q^44 + 36 * q^45 - 1125 * q^46 - 40 * q^47 - 1038 * q^48 - 4954 * q^49 - 3590 * q^50 - 90 * q^51 + 9120 * q^52 + 3896 * q^53 + 54 * q^54 - 1076 * q^55 + 3557 * q^56 + 660 * q^57 + 3232 * q^58 + 116 * q^59 + 3618 * q^60 - 672 * q^61 + 3882 * q^62 - 1584 * q^63 - 11581 * q^64 - 15380 * q^65 - 5166 * q^66 - 288 * q^67 + 13898 * q^68 - 1632 * q^69 - 5058 * q^70 - 15102 * q^71 - 2016 * q^72 - 146 * q^73 - 3531 * q^74 + 3360 * q^75 + 10770 * q^76 + 3594 * q^77 + 1905 * q^78 + 2852 * q^79 + 27997 * q^80 - 2916 * q^81 + 8824 * q^82 + 5278 * q^83 + 6765 * q^84 - 5290 * q^85 + 5973 * q^86 + 228 * q^87 + 13872 * q^88 + 1462 * q^89 + 171 * q^90 + 74 * q^91 - 3144 * q^92 + 3144 * q^93 + 3262 * q^94 + 1600 * q^95 - 855 * q^96 + 6626 * q^97 + 15491 * q^98 + 144 * q^99

Introduction

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