LMFDB - Embedded newform 108.3.j.a.7.12

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [108,3,Mod(7,108)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(108, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([9, 16]))

N = Newforms(chi, 3, names="a")

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

chi := DirichletCharacter("108.7");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 108 = 2^{2} \cdot 3^{3} $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	108.j (of order $18$, degree $6$, 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:	$2.94278685509$
Analytic rank:	$0$
Dimension:	$204$
Relative dimension:	$34$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			7.12
Character	$\chi$	$=$	108.7
Dual form			108.3.j.a.31.12

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.07434 + 1.68695i) q^{2} +(2.99807 - 0.107643i) q^{3} +(-1.69158 - 3.62471i) q^{4} +(-0.755508 - 4.28470i) q^{5} +(-3.03936 + 5.17323i) q^{6} +(6.44162 - 7.67682i) q^{7} +(7.93204 + 1.04057i) q^{8} +(8.97683 - 0.645444i) q^{9} +O(q^{10})$	\(q+(-1.07434 + 1.68695i) q^{2} +(2.99807 - 0.107643i) q^{3} +(-1.69158 - 3.62471i) q^{4} +(-0.755508 - 4.28470i) q^{5} +(-3.03936 + 5.17323i) q^{6} +(6.44162 - 7.67682i) q^{7} +(7.93204 + 1.04057i) q^{8} +(8.97683 - 0.645444i) q^{9} +(8.03973 + 3.32873i) q^{10} +(-16.5915 - 2.92553i) q^{11} +(-5.46165 - 10.6851i) q^{12} +(7.70282 + 2.80360i) q^{13} +(6.02990 + 19.1142i) q^{14} +(-2.72628 - 12.7645i) q^{15} +(-10.2771 + 12.2630i) q^{16} +(13.2638 + 22.9735i) q^{17} +(-8.55535 + 15.8369i) q^{18} +(-10.2637 - 5.92574i) q^{19} +(-14.2528 + 9.98641i) q^{20} +(18.4861 - 23.7090i) q^{21} +(22.7602 - 24.8460i) q^{22} +(14.3578 + 17.1110i) q^{23} +(23.8928 + 2.26588i) q^{24} +(5.70448 - 2.07626i) q^{25} +(-13.0050 + 9.98223i) q^{26} +(26.8437 - 2.90138i) q^{27} +(-38.7228 - 10.3631i) q^{28} +(-29.1256 + 10.6009i) q^{29} +(24.4620 + 9.11432i) q^{30} +(-12.9259 - 15.4045i) q^{31} +(-9.64589 - 30.5116i) q^{32} +(-50.0574 - 6.98497i) q^{33} +(-53.0049 - 2.30613i) q^{34} +(-37.7596 - 21.8005i) q^{35} +(-17.5246 - 31.4466i) q^{36} +(20.1962 + 34.9808i) q^{37} +(21.0231 - 10.9480i) q^{38} +(23.3954 + 7.57622i) q^{39} +(-1.53417 - 34.7725i) q^{40} +(-34.1160 - 12.4172i) q^{41} +(20.1356 + 56.6566i) q^{42} +(-25.3466 - 4.46929i) q^{43} +(17.4617 + 65.0882i) q^{44} +(-9.54759 - 37.9753i) q^{45} +(-44.2905 + 5.83783i) q^{46} +(12.9992 - 15.4919i) q^{47} +(-29.4915 + 37.8716i) q^{48} +(-8.93040 - 50.6468i) q^{49} +(-2.62602 + 11.8538i) q^{50} +(42.2386 + 67.4484i) q^{51} +(-2.86770 - 32.6630i) q^{52} +46.7045 q^{53} +(-23.9448 + 48.4009i) q^{54} +73.2998i q^{55} +(59.0835 - 54.1899i) q^{56} +(-31.4091 - 16.6610i) q^{57} +(13.4078 - 60.5223i) q^{58} +(-36.4280 + 6.42325i) q^{59} +(-41.6559 + 31.4742i) q^{60} +(48.7491 + 40.9054i) q^{61} +(39.8734 - 5.25563i) q^{62} +(52.8703 - 73.0712i) q^{63} +(61.8344 + 16.5078i) q^{64} +(6.19303 - 35.1224i) q^{65} +(65.5620 - 76.9399i) q^{66} +(-25.9527 + 71.3043i) q^{67} +(60.8357 - 86.9390i) q^{68} +(44.8875 + 49.7543i) q^{69} +(77.3429 - 40.2772i) q^{70} +(17.4692 - 10.0858i) q^{71} +(71.8761 + 4.22137i) q^{72} +(-50.2648 + 87.0613i) q^{73} +(-80.7083 - 3.51145i) q^{74} +(16.8789 - 6.83883i) q^{75} +(-4.11727 + 47.2268i) q^{76} +(-129.335 + 108.525i) q^{77} +(-37.9153 + 31.3273i) q^{78} +(29.7876 + 81.8406i) q^{79} +(60.3076 + 34.7695i) q^{80} +(80.1668 - 11.5881i) q^{81} +(57.5993 - 44.2115i) q^{82} +(-25.2237 - 69.3017i) q^{83} +(-117.209 - 26.9009i) q^{84} +(88.4137 - 74.1879i) q^{85} +(34.7704 - 37.9569i) q^{86} +(-86.1795 + 34.9173i) q^{87} +(-128.560 - 40.4701i) q^{88} +(-37.6081 + 65.1392i) q^{89} +(74.3198 + 24.6922i) q^{90} +(71.1414 - 41.0735i) q^{91} +(37.7350 - 80.9875i) q^{92} +(-40.4110 - 44.7924i) q^{93} +(12.1684 + 38.5725i) q^{94} +(-17.6357 + 48.4537i) q^{95} +(-32.2034 - 90.4375i) q^{96} +(12.6145 - 71.5405i) q^{97} +(95.0328 + 39.3469i) q^{98} +(-150.827 - 15.5531i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 204 q - 6 q^{2} - 6 q^{4} - 12 q^{5} - 6 q^{6} - 3 q^{8} - 12 q^{9}+O(q^{10}) $ 204 * q - 6 * q^2 - 6 * q^4 - 12 * q^5 - 6 * q^6 - 3 * q^8 - 12 * q^9	$ 204 q - 6 q^{2} - 6 q^{4} - 12 q^{5} - 6 q^{6} - 3 q^{8} - 12 q^{9} - 3 q^{10} + 39 q^{12} - 12 q^{13} + 39 q^{14} - 6 q^{16} - 6 q^{17} - 27 q^{18} - 69 q^{20} - 12 q^{21} - 6 q^{22} - 138 q^{24} - 12 q^{25} - 174 q^{26} - 12 q^{28} + 60 q^{29} - 153 q^{30} - 96 q^{32} + 48 q^{33} + 6 q^{34} + 24 q^{36} - 6 q^{37} + 72 q^{38} + 69 q^{40} - 192 q^{41} - 126 q^{42} - 219 q^{44} - 132 q^{45} - 3 q^{46} - 219 q^{48} - 12 q^{49} - 165 q^{50} + 21 q^{52} - 24 q^{53} + 78 q^{54} + 99 q^{56} - 150 q^{57} - 141 q^{58} + 210 q^{60} - 12 q^{61} + 294 q^{62} - 3 q^{64} - 156 q^{65} + 393 q^{66} + 375 q^{68} - 60 q^{69} - 165 q^{70} + 228 q^{72} - 6 q^{73} + 447 q^{74} - 54 q^{76} + 132 q^{77} + 750 q^{78} + 798 q^{80} + 228 q^{81} - 12 q^{82} + 762 q^{84} + 138 q^{85} + 606 q^{86} - 198 q^{88} - 114 q^{89} + 894 q^{90} + 723 q^{92} - 1020 q^{93} - 357 q^{94} + 474 q^{96} + 168 q^{97} + 510 q^{98}+O(q^{100}) $ 204 * q - 6 * q^2 - 6 * q^4 - 12 * q^5 - 6 * q^6 - 3 * q^8 - 12 * q^9 - 3 * q^10 + 39 * q^12 - 12 * q^13 + 39 * q^14 - 6 * q^16 - 6 * q^17 - 27 * q^18 - 69 * q^20 - 12 * q^21 - 6 * q^22 - 138 * q^24 - 12 * q^25 - 174 * q^26 - 12 * q^28 + 60 * q^29 - 153 * q^30 - 96 * q^32 + 48 * q^33 + 6 * q^34 + 24 * q^36 - 6 * q^37 + 72 * q^38 + 69 * q^40 - 192 * q^41 - 126 * q^42 - 219 * q^44 - 132 * q^45 - 3 * q^46 - 219 * q^48 - 12 * q^49 - 165 * q^50 + 21 * q^52 - 24 * q^53 + 78 * q^54 + 99 * q^56 - 150 * q^57 - 141 * q^58 + 210 * q^60 - 12 * q^61 + 294 * q^62 - 3 * q^64 - 156 * q^65 + 393 * q^66 + 375 * q^68 - 60 * q^69 - 165 * q^70 + 228 * q^72 - 6 * q^73 + 447 * q^74 - 54 * q^76 + 132 * q^77 + 750 * q^78 + 798 * q^80 + 228 * q^81 - 12 * q^82 + 762 * q^84 + 138 * q^85 + 606 * q^86 - 198 * q^88 - 114 * q^89 + 894 * q^90 + 723 * q^92 - 1020 * q^93 - 357 * q^94 + 474 * q^96 + 168 * q^97 + 510 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/108\mathbb{Z}\right)^\times$.

$n$	$29$	$55$
$\chi(n)$	$e\left(\frac{8}{9}\right)$	$-1$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

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

$2$	−1.07434	+	1.68695i	−0.537171	+	0.843474i
$2$	−1.07434	+	1.68695i	−0.537171	+	0.843474i
$3$	2.99807	−	0.107643i	0.999356	−	0.0358811i
$3$	2.99807	−	0.107643i	0.999356	−	0.0358811i
$4$	−1.69158	−	3.62471i	−0.422895	−	0.906179i
$5$	−0.755508	−	4.28470i	−0.151102	−	0.856939i	−0.962264	−	0.272118i	$-0.912276\pi$
$5$	−0.755508	−	4.28470i	−0.151102	−	0.856939i	0.811162	−	0.584821i	$-0.198835\pi$
$6$	−3.03936	+	5.17323i	−0.506560	+	0.862205i
$7$	6.44162	−	7.67682i	0.920232	−	1.09669i	−0.0748069	−	0.997198i	$-0.523834\pi$
$7$	6.44162	−	7.67682i	0.920232	−	1.09669i	0.995038	−	0.0994912i	$-0.0317215\pi$
$8$	7.93204	+	1.04057i	0.991505	+	0.130072i
$9$	8.97683	−	0.645444i	0.997425	−	0.0717160i
$10$	8.03973	+	3.32873i	0.803973	+	0.332873i
$11$	−16.5915	−	2.92553i	−1.50832	−	0.265957i	−0.642489	−	0.766295i	$-0.722098\pi$
$11$	−16.5915	−	2.92553i	−1.50832	−	0.265957i	−0.865830	+	0.500338i	$0.833209\pi$
$12$	−5.46165	−	10.6851i	−0.455137	−	0.890421i
$13$	7.70282	+	2.80360i	0.592525	+	0.215661i	0.620840	−	0.783938i	$-0.286792\pi$
$13$	7.70282	+	2.80360i	0.592525	+	0.215661i	−0.0283148	+	0.999599i	$0.509014\pi$
$14$	6.02990	+	19.1142i	0.430707	+	1.36530i
$15$	−2.72628	−	12.7645i	−0.181752	−	0.850966i
$16$	−10.2771	+	12.2630i	−0.642319	+	0.766437i
$17$	13.2638	+	22.9735i	0.780222	+	1.35138i	0.931812	+	0.362941i	$0.118227\pi$
$17$	13.2638	+	22.9735i	0.780222	+	1.35138i	−0.151590	+	0.988443i	$0.548439\pi$
$18$	−8.55535	+	15.8369i	−0.475297	+	0.879825i
$19$	−10.2637	−	5.92574i	−0.540194	−	0.311881i	0.204964	−	0.978770i	$-0.434292\pi$
$19$	−10.2637	−	5.92574i	−0.540194	−	0.311881i	−0.745158	+	0.666888i	$0.767626\pi$
$20$	−14.2528	+	9.98641i	−0.712640	+	0.499320i
$21$	18.4861	−	23.7090i	0.880289	−	1.12900i
$22$	22.7602	−	24.8460i	1.03455	−	1.12936i
$23$	14.3578	+	17.1110i	0.624252	+	0.743955i	0.981795	−	0.189942i	$-0.0608299\pi$
$23$	14.3578	+	17.1110i	0.624252	+	0.743955i	−0.357543	+	0.933897i	$0.616385\pi$
$24$	23.8928	+	2.26588i	0.995533	+	0.0944118i
$25$	5.70448	−	2.07626i	0.228179	−	0.0830505i
$26$	−13.0050	+	9.98223i	−0.500192	+	0.383932i
$27$	26.8437	−	2.90138i	0.994210	−	0.107459i
$28$	−38.7228	−	10.3631i	−1.38296	−	0.370110i
$29$	−29.1256	+	10.6009i	−1.00433	+	0.365547i	−0.791254	−	0.611488i	$-0.790571\pi$
$29$	−29.1256	+	10.6009i	−1.00433	+	0.365547i	−0.213078	+	0.977035i	$0.568349\pi$
$30$	24.4620	+	9.11432i	0.815399	+	0.303811i
$31$	−12.9259	−	15.4045i	−0.416965	−	0.496920i	0.516150	−	0.856498i	$-0.327365\pi$
$31$	−12.9259	−	15.4045i	−0.416965	−	0.496920i	−0.933115	+	0.359579i	$0.882920\pi$
$32$	−9.64589	−	30.5116i	−0.301434	−	0.953487i
$33$	−50.0574	−	6.98497i	−1.51689	−	0.211666i
$34$	−53.0049	−	2.30613i	−1.55897	−	0.0678275i
$35$	−37.7596	−	21.8005i	−1.07884	−	0.622871i
$36$	−17.5246	−	31.4466i	−0.486794	−	0.873517i
$37$	20.1962	+	34.9808i	0.545842	+	0.945426i	0.998553	+	0.0537690i	$0.0171235\pi$
$37$	20.1962	+	34.9808i	0.545842	+	0.945426i	−0.452711	+	0.891657i	$0.649543\pi$
$38$	21.0231	−	10.9480i	0.553240	−	0.288106i
$39$	23.3954	+	7.57622i	0.599881	+	0.194262i
$40$	−1.53417	−	34.7725i	−0.0383542	−	0.869313i
$41$	−34.1160	−	12.4172i	−0.832096	−	0.302858i	−0.109377	−	0.994000i	$-0.534886\pi$
$41$	−34.1160	−	12.4172i	−0.832096	−	0.302858i	−0.722719	+	0.691142i	$0.757108\pi$
$42$	20.1356	+	56.6566i	0.479418	+	1.34897i
$43$	−25.3466	−	4.46929i	−0.589456	−	0.103937i	−0.129039	−	0.991640i	$-0.541189\pi$
$43$	−25.3466	−	4.46929i	−0.589456	−	0.103937i	−0.460417	+	0.887703i	$0.652300\pi$
$44$	17.4617	+	65.0882i	0.396856	+	1.47928i
$45$	−9.54759	−	37.9753i	−0.212169	−	0.843896i
$46$	−44.2905	+	5.83783i	−0.962836	+	0.126909i
$47$	12.9992	−	15.4919i	0.276579	−	0.329614i	−0.609817	−	0.792543i	$-0.708757\pi$
$47$	12.9992	−	15.4919i	0.276579	−	0.329614i	0.886396	+	0.462928i	$0.153201\pi$
$48$	−29.4915	+	37.8716i	−0.614405	+	0.788991i
$49$	−8.93040	−	50.6468i	−0.182253	−	1.03361i
$50$	−2.62602	+	11.8538i	−0.0525204	+	0.237076i
$51$	42.2386	+	67.4484i	0.828209	+	1.32252i
$52$	−2.86770	−	32.6630i	−0.0551481	−	0.628135i
$53$	46.7045			0.881217			0.440609	−	0.897699i	$-0.354763\pi$
$53$	46.7045			0.881217			0.440609	+	0.897699i	$0.354763\pi$
$54$	−23.9448	+	48.4009i	−0.443422	+	0.896313i
$55$			73.2998i			1.33272i
$56$	59.0835	−	54.1899i	1.05506	−	0.967676i
$57$	−31.4091	−	16.6610i	−0.551037	−	0.292298i
$58$	13.4078	−	60.5223i	0.231169	−	1.04349i
$59$	−36.4280	+	6.42325i	−0.617424	+	0.108869i	−0.473608	−	0.880736i	$-0.657049\pi$
$59$	−36.4280	+	6.42325i	−0.617424	+	0.108869i	−0.143817	+	0.989604i	$0.545938\pi$
$60$	−41.6559	+	31.4742i	−0.694265	+	0.524569i
$61$	48.7491	+	40.9054i	0.799166	+	0.670580i	0.947996	−	0.318283i	$-0.103106\pi$
$61$	48.7491	+	40.9054i	0.799166	+	0.670580i	−0.148830	+	0.988863i	$0.547551\pi$
$62$	39.8734	−	5.25563i	0.643120	−	0.0847683i
$63$	52.8703	−	73.0712i	0.839212	−	1.15986i
$64$	61.8344	+	16.5078i	0.966163	+	0.257934i
$65$	6.19303	−	35.1224i	0.0952773	−	0.540344i
$66$	65.5620	−	76.9399i	0.993364	−	1.16576i
$67$	−25.9527	+	71.3043i	−0.387353	+	1.06424i	0.580835	+	0.814021i	$0.302726\pi$
$67$	−25.9527	+	71.3043i	−0.387353	+	1.06424i	−0.968188	+	0.250223i	$0.919496\pi$
$68$	60.8357	−	86.9390i	0.894643	−	1.27851i
$69$	44.8875	+	49.7543i	0.650544	+	0.721077i
$70$	77.3429	−	40.2772i	1.10490	−	0.575389i
$71$	17.4692	−	10.0858i	0.246045	−	0.142054i	−0.371907	−	0.928270i	$-0.621296\pi$
$71$	17.4692	−	10.0858i	0.246045	−	0.142054i	0.617952	+	0.786216i	$0.287963\pi$
$72$	71.8761	+	4.22137i	0.998280	+	0.0586302i
$73$	−50.2648	+	87.0613i	−0.688560	+	1.19262i	0.283744	+	0.958900i	$0.408423\pi$
$73$	−50.2648	+	87.0613i	−0.688560	+	1.19262i	−0.972304	+	0.233720i	$0.924910\pi$
$74$	−80.7083	−	3.51145i	−1.09065	−	0.0474520i
$75$	16.8789	−	6.83883i	0.225053	−	0.0911844i
$76$	−4.11727	+	47.2268i	−0.0541746	+	0.621405i
$77$	−129.335	+	108.525i	−1.67967	+	1.40941i
$78$	−37.9153	+	31.3273i	−0.486094	+	0.401632i
$79$	29.7876	+	81.8406i	0.377058	+	1.03596i	0.972570	+	0.232611i	$0.0747269\pi$
$79$	29.7876	+	81.8406i	0.377058	+	1.03596i	−0.595512	+	0.803346i	$0.703051\pi$
$80$	60.3076	+	34.7695i	0.753845	+	0.434619i
$81$	80.1668	−	11.5881i	0.989714	−	0.143063i
$82$	57.5993	−	44.2115i	0.702431	−	0.539165i
$83$	−25.2237	−	69.3017i	−0.303900	−	0.834960i	−0.993813	−	0.111067i	$-0.964573\pi$
$83$	−25.2237	−	69.3017i	−0.303900	−	0.834960i	0.689912	−	0.723893i	$-0.257649\pi$
$84$	−117.209	−	26.9009i	−1.39535	−	0.320249i
$85$	88.4137	−	74.1879i	1.04016	−	0.872799i
$86$	34.7704	−	37.9569i	0.404307	−	0.441359i
$87$	−86.1795	+	34.9173i	−0.990569	+	0.401348i
$88$	−128.560	−	40.4701i	−1.46091	−	0.459888i
$89$	−37.6081	+	65.1392i	−0.422563	+	0.731901i	−0.996189	−	0.0872163i	$-0.972203\pi$
$89$	−37.6081	+	65.1392i	−0.422563	+	0.731901i	0.573626	+	0.819117i	$0.305536\pi$
$90$	74.3198	+	24.6922i	0.825775	+	0.274358i
$91$	71.1414	−	41.0735i	0.781774	−	0.451357i
$92$	37.7350	−	80.9875i	0.410163	−	0.880299i
$93$	−40.4110	−	44.7924i	−0.434527	−	0.481639i
$94$	12.1684	+	38.5725i	0.129451	+	0.410346i
$95$	−17.6357	+	48.4537i	−0.185639	+	0.510039i
$96$	−32.2034	−	90.4375i	−0.335452	−	0.942057i
$97$	12.6145	−	71.5405i	0.130047	−	0.737531i	−0.848135	−	0.529780i	$-0.822274\pi$
$97$	12.6145	−	71.5405i	0.130047	−	0.737531i	0.978182	−	0.207751i	$-0.0666144\pi$
$98$	95.0328	+	39.3469i	0.969722	+	0.401499i
$99$	−150.827	−	15.5531i	−1.52351	−	0.157102i
$100$	−17.1755	−	17.1650i	−0.171755	−	0.171650i
$101$	40.3702	+	33.8746i	0.399705	+	0.335392i	0.820379	−	0.571820i	$-0.193762\pi$
$101$	40.3702	+	33.8746i	0.399705	+	0.335392i	−0.420675	+	0.907211i	$0.638207\pi$
$102$	−159.161	−	1.20832i	−1.56040	−	0.0118462i
$103$	−42.8748	+	7.55998i	−0.416260	+	0.0733979i	−0.377856	−	0.925864i	$-0.623339\pi$
$103$	−42.8748	+	7.55998i	−0.416260	+	0.0733979i	−0.0384042	+	0.999262i	$0.512227\pi$
$104$	58.1817	+	30.2536i	0.559440	+	0.290900i
$105$	−115.552	−	61.2948i	−1.10050	−	0.583760i
$106$	−50.1766	+	78.7880i	−0.473364	+	0.743283i
$107$		−	70.5658i		−	0.659493i	−0.944069	−	0.329747i	$-0.893037\pi$
$107$		−	70.5658i		−	0.659493i	0.944069	−	0.329747i	$-0.106963\pi$
$108$	−55.9249	−	92.3927i	−0.517823	−	0.855488i
$109$	−89.3232			−0.819479			−0.409739	−	0.912203i	$-0.634380\pi$
$109$	−89.3232			−0.819479			−0.409739	+	0.912203i	$0.634380\pi$
$110$	−123.653	−	78.7490i	−1.12412	−	0.715900i
$111$	64.3149	+	102.701i	0.579413	+	0.925232i
$112$	27.9396	+	157.889i	0.249461	+	1.40972i
$113$	−13.7107	−	77.7573i	−0.121334	−	0.688118i	−0.983418	−	0.181353i	$-0.941952\pi$
$113$	−13.7107	−	77.7573i	−0.121334	−	0.688118i	0.862084	−	0.506765i	$-0.169159\pi$
$114$	61.8503	−	35.0859i	0.542546	−	0.307771i
$115$	62.4678	−	74.4463i	0.543199	−	0.647359i
$116$	87.6934	+	87.6399i	0.755978	+	0.755516i
$117$	70.9565	+	20.1957i	0.606465	+	0.172613i
$118$	28.3005	−	68.3529i	0.239835	−	0.579262i
$119$	261.804	+	46.1631i	2.20003	+	0.387925i
$120$	−8.34257	−	104.085i	−0.0695214	−	0.867377i
$121$	153.017	+	55.6935i	1.26460	+	0.460277i
$122$	−121.378	+	38.2909i	−0.994905	+	0.313860i
$123$	−103.619	−	33.5552i	−0.842427	−	0.272807i
$124$	−33.9717	+	72.9107i	−0.273965	+	0.587990i
$125$	−67.5909	−	117.071i	−0.540727	−	0.936567i
$126$	66.4665	+	167.693i	0.527512	+	1.33090i
$127$	82.1426	+	47.4250i	0.646792	+	0.373425i	0.787226	−	0.616665i	$-0.211517\pi$
$127$	82.1426	+	47.4250i	0.646792	+	0.373425i	−0.140434	+	0.990090i	$0.544850\pi$
$128$	−94.2790	+	86.5764i	−0.736555	+	0.676378i
$129$	−76.4720	−	10.6708i	−0.592806	−	0.0827198i
$130$	52.5962	+	48.1808i	0.404586	+	0.370621i
$131$	7.26521	+	8.65835i	0.0554597	+	0.0660942i	0.793061	−	0.609142i	$-0.208486\pi$
$131$	7.26521	+	8.65835i	0.0554597	+	0.0660942i	−0.737601	+	0.675236i	$0.764042\pi$
$132$	59.3575	+	193.259i	0.449678	+	1.46409i
$133$	−111.606	+	40.6211i	−0.839140	+	0.305422i
$134$	−92.4046	−	120.386i	−0.689587	−	0.898403i
$135$	−32.7121	−	112.825i	−0.242312	−	0.835740i
$136$	81.3031	+	196.029i	0.597817	+	1.44139i
$137$	147.499	−	53.6854i	1.07664	−	0.391864i	0.257982	−	0.966150i	$-0.416942\pi$
$137$	147.499	−	53.6854i	1.07664	−	0.391864i	0.818655	+	0.574286i	$0.194720\pi$
$138$	−132.157	+	22.2698i	−0.957663	+	0.161375i
$139$	−113.198	−	134.904i	−0.814376	−	0.970535i	0.185551	−	0.982635i	$-0.440593\pi$
$139$	−113.198	−	134.904i	−0.814376	−	0.970535i	−0.999927	+	0.0120996i	$0.996148\pi$
$140$	−15.1472	+	173.745i	−0.108194	+	1.24103i
$141$	37.3049	−	47.8449i	0.264574	−	0.339326i
$142$	−1.75359	+	40.3052i	−0.0123493	+	0.283839i
$143$	−119.599	−	69.0507i	−0.836359	−	0.482872i
$144$	−84.3408	+	116.716i	−0.585700	+	0.810528i
$145$	67.4261	+	116.785i	0.465008	+	0.805417i
$146$	−92.8661	−	178.328i	−0.636069	−	1.22142i
$147$	−32.2257	−	150.881i	−0.219223	−	1.02640i
$148$	92.6319	−	132.378i	0.625891	−	0.894446i
$149$	−92.5431	−	33.6829i	−0.621094	−	0.226060i	0.0122562	−	0.999925i	$-0.496099\pi$
$149$	−92.5431	−	33.6829i	−0.621094	−	0.226060i	−0.633351	+	0.773865i	$0.718321\pi$
$150$	−6.59701	+	35.8211i	−0.0439800	+	0.238807i
$151$	0.769516	+	0.135686i	0.00509613	+	0.000898586i	0.176196	−	0.984355i	$-0.443621\pi$
$151$	0.769516	+	0.135686i	0.00509613	+	0.000898586i	−0.171100	+	0.985254i	$0.554732\pi$
$152$	−75.2458	−	57.6833i	−0.495038	−	0.379496i
$153$	133.895	+	197.668i	0.875129	+	1.29195i
$154$	−44.1259	−	334.774i	−0.286532	−	2.17386i
$155$	−56.2380	+	67.0219i	−0.362826	+	0.432399i
$156$	−12.1135	−	97.6173i	−0.0776508	−	0.625752i
$157$	−30.8928	−	175.202i	−0.196769	−	1.11593i	−0.909876	−	0.414879i	$-0.863824\pi$
$157$	−30.8928	−	175.202i	−0.196769	−	1.11593i	0.713107	−	0.701055i	$-0.247287\pi$
$158$	−170.063	−	37.6748i	−1.07635	−	0.238448i
$159$	140.023	−	5.02743i	0.880650	−	0.0316191i
$160$	−123.445	+	64.3814i	−0.771533	+	0.402384i
$161$	223.845			1.39034
$162$	−66.5780	+	147.687i	−0.410976	+	0.911646i
$163$			268.797i			1.64906i	0.565818	+	0.824530i	$0.308561\pi$
$163$			268.797i			1.64906i	−0.565818	+	0.824530i	$0.691439\pi$
$164$	12.7011	+	144.665i	0.0774458	+	0.882105i
$165$	7.89024	+	219.758i	0.0478196	+	1.33187i
$166$	144.007	+	31.9025i	0.867513	+	0.192184i
$167$	21.3074	−	3.75708i	0.127589	−	0.0224975i	−0.109489	−	0.993988i	$-0.534921\pi$
$167$	21.3074	−	3.75708i	0.127589	−	0.0224975i	0.237078	+	0.971491i	$0.423810\pi$
$168$	171.303	−	168.825i	1.01966	−	1.00491i
$169$	−77.9882	−	65.4399i	−0.461469	−	0.387218i
$170$	30.1646	+	228.852i	0.177439	+	1.34619i
$171$	−95.9601	−	46.5697i	−0.561170	−	0.272338i
$172$	26.6759	+	99.4344i	0.155093	+	0.578107i
$173$	−20.3403	+	115.356i	−0.117574	+	0.666796i	0.867869	+	0.496792i	$0.165489\pi$
$173$	−20.3403	+	115.356i	−0.117574	+	0.666796i	−0.985443	+	0.170003i	$0.945622\pi$
$174$	33.6826	−	182.893i	0.193578	−	1.05111i
$175$	20.8070	−	57.1668i	0.118897	−	0.326668i
$176$	206.389	−	173.396i	1.17266	−	0.985202i
$177$	−108.522	+	23.1786i	−0.613121	+	0.130952i
$178$	−69.4824	−	133.425i	−0.390350	−	0.749577i
$179$	17.3998	−	10.0458i	0.0972054	−	0.0561216i	−0.450609	−	0.892721i	$-0.648793\pi$
$179$	17.3998	−	10.0458i	0.0972054	−	0.0561216i	0.547815	+	0.836600i	$0.315460\pi$
$180$	−121.499	+	98.8456i	−0.674996	+	0.549142i
$181$	96.6241	−	167.358i	0.533835	−	0.924629i	−0.465384	−	0.885109i	$-0.654084\pi$
$181$	96.6241	−	167.358i	0.533835	−	0.924629i	0.999219	−	0.0395201i	$-0.0125829\pi$
$182$	−7.14133	+	164.139i	−0.0392381	+	0.901861i
$183$	150.556	+	117.390i	0.822713	+	0.641473i
$184$	96.0814	+	150.665i	0.522181	+	0.818832i
$185$	134.624	−	112.963i	0.727695	−	0.610609i
$186$	118.978	−	20.0489i	0.639664	−	0.107790i
$187$	−152.856	−	419.969i	−0.817413	−	2.24582i
$188$	−78.1428	−	20.9127i	−0.415653	−	0.111238i
$189$	150.643	−	224.764i	0.797054	−	1.18923i
$190$	−62.7921	−	81.8064i	−0.330485	−	0.430560i
$191$	−87.6196	−	240.733i	−0.458741	−	1.26038i	−0.926423	−	0.376484i	$-0.877133\pi$
$191$	−87.6196	−	240.733i	−0.458741	−	1.26038i	0.467682	−	0.883897i	$-0.345089\pi$
$192$	187.161	+	42.8353i	0.974795	+	0.223101i
$193$	−217.111	+	182.178i	−1.12493	+	0.943928i	−0.998843	−	0.0480909i	$-0.984686\pi$
$193$	−217.111	+	182.178i	−1.12493	+	0.943928i	−0.126087	+	0.992019i	$0.540242\pi$
$194$	107.133	+	98.1390i	0.552231	+	0.505871i
$195$	14.7864	−	105.966i	0.0758278	−	0.543415i
$196$	−168.474	+	118.043i	−0.859560	+	0.602262i
$197$	142.022	−	245.990i	0.720925	−	1.24868i	−0.239705	−	0.970846i	$-0.577051\pi$
$197$	142.022	−	245.990i	0.720925	−	1.24868i	0.960630	−	0.277832i	$-0.0896160\pi$
$198$	188.277	−	237.728i	0.950895	−	1.20065i
$199$	118.652	−	68.5039i	0.596242	−	0.344241i	−0.171320	−	0.985216i	$-0.554803\pi$
$199$	118.652	−	68.5039i	0.596242	−	0.344241i	0.767562	+	0.640975i	$0.221470\pi$
$200$	47.4087	−	10.5330i	0.237043	−	0.0526652i
$201$	−70.1324	+	216.569i	−0.348917	+	1.07746i
$202$	−100.516	+	31.7094i	−0.497604	+	0.156977i
$203$	−106.235	+	291.879i	−0.523326	+	1.43783i
$204$	173.031	−	267.197i	0.848193	−	1.30979i
$205$	−27.4290	+	155.558i	−0.133800	+	0.758818i
$206$	33.3089	−	80.4495i	0.161694	−	0.390532i
$207$	139.932	+	144.335i	0.675998	+	0.697270i
$208$	−113.543	+	65.6468i	−0.545881	+	0.315609i
$209$	152.954	+	128.344i	0.731838	+	0.614085i
$210$	227.544	−	129.079i	1.08354	−	0.614663i
$211$	−181.862	+	32.0671i	−0.861903	+	0.151977i	−0.587091	−	0.809521i	$-0.699727\pi$
$211$	−181.862	+	32.0671i	−0.861903	+	0.151977i	−0.274813	+	0.961498i	$0.588616\pi$
$212$	−79.0044	−	169.291i	−0.372662	−	0.798540i
$213$	51.2881	−	32.1185i	0.240789	−	0.150791i
$214$	119.041	+	75.8117i	0.556265	+	0.354260i
$215$			111.979i			0.520833i
$216$	215.944	+	4.91897i	0.999741	+	0.0227730i
$217$	−201.522			−0.928671
$218$	95.9636	−	150.684i	0.440200	−	0.691209i
$219$	−141.326	+	266.426i	−0.645324	+	1.21656i
$220$	265.691	−	123.993i	1.20769	−	0.563602i
$221$	37.7599	+	214.147i	0.170859	+	0.968992i
$222$	−242.347	−	1.83985i	−1.09165	−	0.00828762i
$223$	140.359	−	167.273i	0.629413	−	0.750105i	−0.353245	−	0.935531i	$-0.614922\pi$
$223$	140.359	−	167.273i	0.629413	−	0.750105i	0.982658	+	0.185426i	$0.0593664\pi$
$224$	−296.367	−	122.494i	−1.32307	−	0.546849i
$225$	49.8681	−	22.3202i	0.221636	−	0.0992008i
$226$	145.902	+	60.4087i	0.645586	+	0.267295i
$227$	298.580	+	52.6476i	1.31533	+	0.231928i	0.786916	−	0.617060i	$-0.211676\pi$
$227$	298.580	+	52.6476i	1.31533	+	0.231928i	0.528412	+	0.848988i	$0.322788\pi$
$228$	−7.26021	+	142.032i	−0.0318430	+	0.622949i
$229$	−291.207	−	105.991i	−1.27164	−	0.462841i	−0.383985	−	0.923340i	$-0.625448\pi$
$229$	−291.207	−	105.991i	−1.27164	−	0.462841i	−0.887660	+	0.460499i	$0.847671\pi$
$230$	58.4751	+	185.361i	0.254240	+	0.805916i
$231$	−376.073	+	339.287i	−1.62802	+	1.46878i
$232$	−242.056	+	53.7790i	−1.04335	+	0.231806i
$233$	−21.7586	−	37.6870i	−0.0933845	−	0.161747i	0.815549	−	0.578688i	$-0.196435\pi$
$233$	−21.7586	−	37.6870i	−0.0933845	−	0.161747i	−0.908933	+	0.416942i	$0.863102\pi$
$234$	−110.300	+	98.0027i	−0.471370	+	0.418815i
$235$	−76.1989	−	43.9935i	−0.324251	−	0.187206i
$236$	84.9034	+	121.176i	0.359760	+	0.513457i
$237$	98.1147	+	242.157i	0.413986	+	1.02176i
$238$	−359.142	+	392.054i	−1.50900	+	1.64729i
$239$	214.161	+	255.227i	0.896069	+	1.06789i	0.997329	+	0.0730337i	$0.0232681\pi$
$239$	214.161	+	255.227i	0.896069	+	1.06789i	−0.101260	+	0.994860i	$0.532287\pi$
$240$	184.549	+	97.7497i	0.768955	+	0.407290i
$241$	325.919	−	118.625i	1.35236	−	0.492219i	0.438677	−	0.898645i	$-0.355447\pi$
$241$	325.919	−	118.625i	1.35236	−	0.492219i	0.913684	+	0.406426i	$0.133225\pi$
$242$	−258.344	+	198.297i	−1.06754	+	0.819409i
$243$	239.098	−	43.3713i	0.983943	−	0.178483i
$244$	65.8073	−	245.896i	0.269702	−	1.00777i
$245$	−210.259	+	76.5281i	−0.858201	+	0.312360i
$246$	167.928	−	138.749i	0.682633	−	0.564021i
$247$	−62.4460	−	74.4202i	−0.252818	−	0.301296i
$248$	−86.4993	−	135.640i	−0.348788	−	0.546934i
$249$	−83.0823	−	205.056i	−0.333664	−	0.823518i
$250$	270.108	+	11.7518i	1.08043	+	0.0470073i
$251$	12.1468	+	7.01295i	0.0483935	+	0.0279400i	0.524002	−	0.851717i	$-0.324439\pi$
$251$	12.1468	+	7.01295i	0.0483935	+	0.0279400i	−0.475608	+	0.879657i	$0.657772\pi$
$252$	−354.297	−	68.0341i	−1.40594	−	0.269976i
$253$	−188.159	−	325.901i	−0.743711	−	1.28815i
$254$	−168.253	+	87.6195i	−0.662412	+	0.344958i
$255$	257.084	−	231.938i	1.00817	−	0.909559i
$256$	−44.7620	−	252.056i	−0.174851	−	0.984595i
$257$	−159.478	−	58.0452i	−0.620537	−	0.225857i	0.0125705	−	0.999921i	$-0.495999\pi$
$257$	−159.478	−	58.0452i	−0.620537	−	0.225857i	−0.633107	+	0.774064i	$0.718221\pi$
$258$	100.158	−	117.540i	0.388210	−	0.455582i
$259$	398.637	+	70.2905i	1.53914	+	0.271392i
$260$	−137.785	+	36.9644i	−0.529941	+	0.142171i
$261$	−254.613	+	113.961i	−0.975530	+	0.436632i
$262$	−22.4115	+	2.95401i	−0.0855400	+	0.0112749i
$263$	−208.683	+	248.699i	−0.793473	+	0.945624i	−0.999458	−	0.0329313i	$-0.989516\pi$
$263$	−208.683	+	248.699i	−0.793473	+	0.945624i	0.205985	+	0.978555i	$0.433960\pi$
$264$	−389.789	−	107.494i	−1.47647	−	0.407172i
$265$	−35.2856	−	200.115i	−0.133153	−	0.755150i
$266$	51.3769	−	231.914i	0.193146	−	0.871857i
$267$	−105.740	+	199.340i	−0.396030	+	0.746592i
$268$	302.359	−	26.5460i	1.12820	−	0.0990524i
$269$	−281.085			−1.04493			−0.522463	−	0.852662i	$-0.674987\pi$
$269$	−281.085			−1.04493			−0.522463	+	0.852662i	$0.674987\pi$
$270$	225.474	+	66.0289i	0.835088	+	0.244551i
$271$		−	270.921i		−	0.999709i	−0.866109	−	0.499855i	$-0.833387\pi$
$271$		−	270.921i		−	0.999709i	0.866109	−	0.499855i	$-0.166613\pi$
$272$	−418.037	−	73.4480i	−1.53690	−	0.270029i
$273$	208.865	−	130.799i	0.765075	−	0.479117i
$274$	−67.9003	+	306.500i	−0.247811	+	1.11861i
$275$	−100.720	+	17.7597i	−0.366255	+	0.0645807i
$276$	104.414	−	246.868i	0.378313	−	0.894449i
$277$	80.9996	+	67.9667i	0.292417	+	0.245367i	0.777180	−	0.629279i	$-0.216650\pi$
$277$	80.9996	+	67.9667i	0.292417	+	0.245367i	−0.484763	+	0.874646i	$0.661094\pi$
$278$	349.190	−	46.0260i	1.25608	−	0.165561i
$279$	−125.976	−	129.941i	−0.451529	−	0.465737i
$280$	−276.825	−	212.214i	−0.988661	−	0.757907i
$281$	14.7191	−	83.4761i	0.0523811	−	0.297068i	−0.947351	−	0.320196i	$-0.896251\pi$
$281$	14.7191	−	83.4761i	0.0523811	−	0.297068i	0.999733	+	0.0231277i	$0.00736245\pi$
$282$	40.6336	+	114.333i	0.144091	+	0.405437i
$283$	−110.305	+	303.060i	−0.389770	+	1.07088i	0.577336	+	0.816507i	$0.304092\pi$
$283$	−110.305	+	303.060i	−0.389770	+	1.07088i	−0.967105	+	0.254376i	$0.918130\pi$
$284$	−66.1088	−	46.2598i	−0.232777	−	0.162887i
$285$	−47.6574	+	147.166i	−0.167219	+	0.516372i
$286$	244.976	−	127.574i	0.856558	−	0.446062i
$287$	−315.087	+	181.915i	−1.09786	+	0.633851i
$288$	−106.283	−	267.671i	−0.369038	−	0.929414i
$289$	−207.355	+	359.150i	−0.717493	+	1.24273i
$290$	−269.449	−	11.7232i	−0.929136	−	0.0404248i
$291$	30.1183	−	215.841i	0.103499	−	0.741722i
$292$	400.599	+	34.9246i	1.37192	+	0.119605i
$293$	157.814	−	132.422i	0.538615	−	0.451952i	−0.332449	−	0.943121i	$-0.607875\pi$
$293$	157.814	−	132.422i	0.538615	−	0.451952i	0.871064	+	0.491170i	$0.163430\pi$
$294$	289.150	+	107.735i	0.983504	+	0.366445i
$295$	55.0433	+	151.230i	0.186588	+	0.512645i
$296$	123.797	+	298.484i	0.418232	+	1.00839i
$297$	−453.865	−	30.3936i	−1.52816	−	0.102335i
$298$	156.244	−	119.928i	0.524309	−	0.402444i
$299$	62.6233	+	172.056i	0.209443	+	0.575439i
$300$	−53.3409	−	49.6129i	−0.177803	−	0.165376i
$301$	−197.583	+	165.792i	−0.656423	+	0.550804i
$302$	−1.05562	+	1.15236i	−0.00349543	+	0.00381576i
$303$	124.679	+	97.2127i	0.411481	+	0.320834i
$304$	178.148	−	64.9640i	0.586014	−	0.213697i
$305$	138.437	−	239.780i	0.453891	−	0.786163i
$306$	−477.305	+	13.5100i	−1.55982	+	0.0441502i
$307$	−194.400	+	112.237i	−0.633225	+	0.365593i	−0.782000	−	0.623278i	$-0.785800\pi$
$307$	−194.400	+	112.237i	−0.633225	+	0.365593i	0.148775	+	0.988871i	$0.452467\pi$
$308$	612.152	+	285.224i	1.98751	+	0.926051i
$309$	−127.728	+	27.2805i	−0.413359	+	0.0882865i
$310$	−52.6435	−	166.875i	−0.169818	−	0.538306i
$311$	76.8272	−	211.081i	0.247033	−	0.678717i	−0.752759	−	0.658297i	$-0.771277\pi$
$311$	76.8272	−	211.081i	0.247033	−	0.678717i	0.999791	−	0.0204207i	$-0.00650055\pi$
$312$	177.689	+	84.4395i	0.569517	+	0.270639i
$313$	−69.3890	+	393.525i	−0.221690	+	1.25727i	0.647222	+	0.762301i	$0.275931\pi$
$313$	−69.3890	+	393.525i	−0.221690	+	1.25727i	−0.868912	+	0.494966i	$0.835181\pi$
$314$	328.745	+	136.112i	1.04696	+	0.433478i
$315$	−353.032	−	171.328i	−1.12074	−	0.543897i
$316$	246.261	−	246.411i	0.779307	−	0.779783i
$317$	11.8267	+	9.92380i	0.0373083	+	0.0313054i	0.661251	−	0.750165i	$-0.270026\pi$
$317$	11.8267	+	9.92380i	0.0373083	+	0.0313054i	−0.623943	+	0.781470i	$0.714470\pi$
$318$	−141.952	+	241.613i	−0.446389	+	0.759790i
$319$	514.251	−	90.6763i	1.61207	−	0.284252i
$320$	24.0144	−	277.413i	0.0750449	−	0.866917i
$321$	−7.59594	−	211.561i	−0.0236634	−	0.659069i
$322$	−240.486	+	377.615i	−0.746852	+	1.17272i
$323$		−	314.391i		−	0.973346i
$324$	−177.612	−	270.980i	−0.548185	−	0.836357i
$325$	49.7616			0.153113
$326$	−453.446	−	288.780i	−1.39094	−	0.885827i
$327$	−267.797	+	9.61505i	−0.818951	+	0.0294038i
$328$	−257.688	−	133.994i	−0.785634	−	0.408518i
$329$	−35.1923	−	199.585i	−0.106967	−	0.606643i
$330$	−379.197	−	222.785i	−1.14908	−	0.675105i
$331$	−178.560	+	212.799i	−0.539455	+	0.642898i	−0.965065	−	0.262009i	$-0.915615\pi$
$331$	−178.560	+	212.799i	−0.539455	+	0.642898i	0.425610	+	0.904907i	$0.360059\pi$
$332$	−208.531	+	208.658i	−0.628105	+	0.628488i
$333$	203.875	+	300.981i	0.612239	+	0.903846i
$334$	−16.5535	+	39.9809i	−0.0495613	+	0.119703i
$335$	325.125	+	57.3283i	0.970522	+	0.171129i
$336$	100.761	+	470.355i	0.299882	+	1.39987i
$337$	524.664	+	190.962i	1.55687	+	0.566653i	0.970015	−	0.243043i	$-0.0781457\pi$
$337$	524.664	+	190.962i	1.55687	+	0.566653i	0.586850	+	0.809696i	$0.300368\pi$
$338$	194.180	−	61.2572i	0.574496	−	0.181234i
$339$	−49.4757	−	231.646i	−0.145946	−	0.683321i
$340$	−418.469	−	194.980i	−1.23079	−	0.573470i
$341$	169.394	+	293.399i	0.496757	+	0.860408i
$342$	181.655	−	111.848i	0.531154	−	0.327040i
$343$	−21.0731	−	12.1666i	−0.0614376	−	0.0354710i
$344$	−196.400	−	61.8256i	−0.570929	−	0.179726i
$345$	179.269	−	229.919i	0.519621	−	0.666433i
$346$	−172.746	−	158.244i	−0.499267	−	0.457354i
$347$	−288.093	−	343.336i	−0.830241	−	0.989442i	−0.999992	−	0.00395526i	$-0.998741\pi$
$347$	−288.093	−	343.336i	−0.830241	−	0.989442i	0.169752	−	0.985487i	$-0.445703\pi$
$348$	272.345	+	253.311i	0.782600	+	0.727904i
$349$	479.457	−	174.508i	1.37380	−	0.500023i	0.453509	−	0.891252i	$-0.350172\pi$
$349$	479.457	−	174.508i	1.37380	−	0.500023i	0.920294	+	0.391228i	$0.127950\pi$
$350$	74.0836	+	96.5170i	0.211667	+	0.275763i
$351$	214.906	+	52.9100i	0.612268	+	0.150741i
$352$	70.7773	+	534.452i	0.201072	+	1.51833i
$353$	−194.831	+	70.9126i	−0.551928	+	0.200885i	−0.602903	−	0.797814i	$-0.705989\pi$
$353$	−194.831	+	70.9126i	−0.551928	+	0.200885i	0.0509748	+	0.998700i	$0.483767\pi$
$354$	77.4890	−	207.973i	0.218896	−	0.587495i
$355$	−56.4128	−	67.2302i	−0.158909	−	0.189381i
$356$	299.728	+	26.1305i	0.841933	+	0.0734004i
$357$	789.875	+	110.219i	2.21254	+	0.308736i
$358$	−1.74663	+	40.1451i	−0.00487885	+	0.112137i
$359$	−52.8592	−	30.5183i	−0.147240	−	0.0850091i	0.424570	−	0.905395i	$-0.360425\pi$
$359$	−52.8592	−	30.5183i	−0.147240	−	0.0850091i	−0.571810	+	0.820386i	$0.693759\pi$
$360$	−36.2157	−	311.157i	−0.100599	−	0.864324i
$361$	−110.271	−	190.995i	−0.305460	−	0.529073i
$362$	178.517	+	342.799i	0.493140	+	0.946959i
$363$	464.749	+	150.502i	1.28030	+	0.414605i
$364$	−269.221	−	188.388i	−0.739618	−	0.517550i
$365$	411.007	+	149.594i	1.12605	+	0.409847i
$366$	−359.779	+	127.864i	−0.983003	+	0.349356i
$367$	−258.395	−	45.5620i	−0.704073	−	0.124147i	−0.189862	−	0.981811i	$-0.560804\pi$
$367$	−258.395	−	45.5620i	−0.704073	−	0.124147i	−0.514211	+	0.857664i	$0.671915\pi$
$368$	−357.388	+	0.218360i	−0.971164	+	0.000593369i
$369$	−314.268	−	89.4470i	−0.851674	−	0.242404i
$370$	45.9302	+	348.463i	0.124136	+	0.941793i
$371$	300.853	−	358.542i	0.810924	−	0.966421i
$372$	−94.0012	+	222.248i	−0.252691	+	0.597441i
$373$	−96.1685	−	545.399i	−0.257824	−	1.46219i	−0.788717	−	0.614756i	$-0.789254\pi$
$373$	−96.1685	−	545.399i	−0.257824	−	1.46219i	0.530893	−	0.847439i	$-0.321857\pi$
$374$	872.685	+	193.330i	2.33338	+	0.516925i
$375$	−215.244	−	343.711i	−0.573984	−	0.916562i
$376$	119.231	−	109.355i	0.317103	−	0.290839i
$377$	−254.070			−0.673926
$378$	217.322	+	495.600i	0.574926	+	1.31111i
$379$			61.8712i			0.163249i	0.996663	+	0.0816243i	$0.0260107\pi$
$379$			61.8712i			0.163249i	−0.996663	+	0.0816243i	$0.973989\pi$
$380$	205.463	−	18.0389i	0.540693	−	0.0474709i
$381$	251.374	+	133.341i	0.659774	+	0.349977i
$382$	500.237	+	110.820i	1.30952	+	0.290104i
$383$	356.264	−	62.8189i	0.930193	−	0.164018i	0.312034	−	0.950071i	$-0.398990\pi$
$383$	356.264	−	62.8189i	0.930193	−	0.164018i	0.618159	+	0.786053i	$0.287879\pi$
$384$	−273.335	+	269.710i	−0.711811	+	0.702371i
$385$	562.710	+	472.170i	1.46158	+	1.22641i
$386$	−74.0730	−	561.977i	−0.191899	−	1.45590i
$387$	−230.417	−	23.7602i	−0.595392	−	0.0613959i
$388$	−280.652	+	75.2925i	−0.723331	+	0.194053i
$389$	−51.9683	+	294.727i	−0.133595	+	0.757653i	0.842233	+	0.539113i	$0.181241\pi$
$389$	−51.9683	+	294.727i	−0.133595	+	0.757653i	−0.975828	+	0.218540i	$0.929871\pi$
$390$	162.873	+	138.788i	0.417624	+	0.355866i
$391$	−202.661	+	556.805i	−0.518313	+	1.42405i
$392$	−18.1345	−	411.025i	−0.0462614	−	1.04853i
$393$	22.7136	+	25.1763i	0.0577955	+	0.0640617i
$394$	262.391	+	503.861i	0.665967	+	1.27883i
$395$	328.158	−	189.462i	0.830778	−	0.479650i
$396$	198.761	+	573.015i	0.501922	+	1.44701i
$397$	197.081	−	341.354i	0.496425	−	0.859833i	−0.503567	−	0.863956i	$-0.667979\pi$
$397$	197.081	−	341.354i	0.496425	−	0.859833i	0.999991	+	0.00412318i	$0.00131245\pi$
$398$	−11.9106	+	273.757i	−0.0299261	+	0.687831i
$399$	−330.229	+	133.799i	−0.827641	+	0.335335i
$400$	−33.1644	+	91.2920i	−0.0829111	+	0.228230i
$401$	−33.5438	+	28.1466i	−0.0836503	+	0.0701909i	−0.683654	−	0.729806i	$-0.739610\pi$
$401$	−33.5438	+	28.1466i	−0.0836503	+	0.0701909i	0.600004	+	0.799997i	$0.295166\pi$
$402$	−289.994	−	350.979i	−0.721378	−	0.873081i
$403$	−56.3780	−	154.897i	−0.139896	−	0.384360i
$404$	54.4963	−	203.632i	0.134892	−	0.504039i
$405$	−110.218	−	334.736i	−0.272143	−	0.826507i
$406$	−378.251	−	492.791i	−0.931654	−	1.21377i
$407$	−232.747	−	639.468i	−0.571861	−	1.57117i
$408$	264.853	+	578.956i	0.649150	+	1.41901i
$409$	−318.044	+	266.870i	−0.777613	+	0.652495i	−0.942646	−	0.333793i	$-0.891671\pi$
$409$	−318.044	+	266.870i	−0.777613	+	0.652495i	0.165033	+	0.986288i	$0.447227\pi$
$410$	−232.950	−	213.393i	−0.568170	−	0.520472i
$411$	436.434	−	176.830i	1.06188	−	0.430243i
$412$	99.9290	+	142.621i	0.242546	+	0.346166i
$413$	−185.346	+	321.028i	−0.448778	+	0.777307i
$414$	−393.820	+	80.9922i	−0.951256	+	0.195633i
$415$	−277.880	+	160.434i	−0.669590	+	0.386588i
$416$	11.2416	−	262.069i	0.0270232	−	0.629972i
$417$	−353.897	−	392.267i	−0.848675	−	0.940689i
$418$	−380.834	+	120.140i	−0.911086	+	0.287417i
$419$	21.7249	−	59.6886i	0.0518493	−	0.142455i	−0.911065	−	0.412264i	$-0.864738\pi$
$419$	21.7249	−	59.6886i	0.0518493	−	0.142455i	0.962914	+	0.269809i	$0.0869605\pi$
$420$	−26.7099	+	522.530i	−0.0635951	+	1.24412i
$421$	108.764	−	616.830i	0.258346	−	1.46515i	−0.528989	−	0.848629i	$-0.677429\pi$
$421$	108.764	−	616.830i	0.258346	−	1.46515i	0.787335	−	0.616525i	$-0.211460\pi$
$422$	141.286	−	341.242i	0.334801	−	0.808630i
$423$	106.693	−	147.458i	0.252228	−	0.348601i
$424$	370.462	+	48.5995i	0.873731	+	0.114622i
$425$	123.362	+	103.513i	0.290264	+	0.243560i
$426$	−0.918810	+	121.027i	−0.00215683	+	0.284100i
$427$	628.047	−	110.742i	1.47084	−	0.259348i
$428$	−255.781	+	119.368i	−0.597619	+	0.278896i
$429$	−366.000	−	194.145i	−0.853147	−	0.452552i
$430$	−188.903	−	120.304i	−0.439309	−	0.279776i
$431$		−	127.048i		−	0.294775i	−0.989079	−	0.147388i	$-0.952914\pi$
$431$		−	127.048i		−	0.294775i	0.989079	−	0.147388i	$-0.0470865\pi$
$432$	−240.296	+	359.001i	−0.556240	+	0.831022i
$433$	587.542			1.35691			0.678454	−	0.734642i	$-0.262650\pi$
$433$	587.542			1.35691			0.678454	+	0.734642i	$0.262650\pi$
$434$	216.503	−	339.956i	0.498855	−	0.783309i
$435$	214.719	+	342.873i	0.493607	+	0.788213i
$436$	151.097	+	323.771i	0.346554	+	0.742594i
$437$	−45.9688	−	260.702i	−0.105192	−	0.596573i
$438$	−297.615	−	524.642i	−0.679486	−	1.19781i
$439$	−277.190	+	330.342i	−0.631412	+	0.752488i	−0.982988	−	0.183672i	$-0.941202\pi$
$439$	−277.190	+	330.342i	−0.631412	+	0.752488i	0.351576	+	0.936159i	$0.385646\pi$
$440$	−76.2740	+	581.417i	−0.173350	+	1.32140i
$441$	−112.856	−	448.884i	−0.255910	−	1.01788i
$442$	−401.822	−	166.368i	−0.909100	−	0.376399i
$443$	−774.476	−	136.561i	−1.74825	−	0.308264i	−0.794145	−	0.607729i	$-0.792081\pi$
$443$	−774.476	−	136.561i	−1.74825	−	0.308264i	−0.954107	+	0.299465i	$0.903192\pi$
$444$	263.467	−	406.850i	0.593394	−	0.916328i
$445$	307.515	+	111.926i	0.691045	+	0.251520i
$446$	131.388	+	416.487i	0.294592	+	0.933828i
$447$	−281.076	−	91.0220i	−0.628806	−	0.203629i
$448$	525.041	−	368.355i	1.17197	−	0.822221i
$449$	−242.525	−	420.066i	−0.540145	−	0.935559i	−0.998895	−	0.0469939i	$-0.985036\pi$
$449$	−242.525	−	420.066i	−0.540145	−	0.935559i	0.458750	−	0.888566i	$-0.348297\pi$
$450$	−15.9224	+	108.104i	−0.0353830	+	0.240232i
$451$	529.708	+	305.827i	1.17452	+	0.678109i
$452$	−258.655	+	181.230i	−0.572246	+	0.400952i
$453$	2.32167	+	0.323964i	0.00512509	+	0.000715152i
$454$	−409.590	+	447.126i	−0.902181	+	0.984860i
$455$	−229.735	−	273.788i	−0.504913	−	0.601732i
$456$	−231.801	−	164.839i	−0.508336	−	0.361489i
$457$	−813.496	+	296.088i	−1.78008	+	0.647896i	−0.780332	+	0.625365i	$0.784950\pi$
$457$	−813.496	+	296.088i	−1.78008	+	0.647896i	−0.999746	+	0.0225304i	$0.992828\pi$
$458$	491.656	−	377.380i	1.07348	−	0.823974i
$459$	422.703	+	578.210i	0.920922	+	1.25972i
$460$	−375.516	−	100.496i	−0.816339	−	0.218470i
$461$	−652.111	+	237.349i	−1.41456	+	0.514857i	−0.932464	−	0.361263i	$-0.882346\pi$
$461$	−652.111	+	237.349i	−1.41456	+	0.514857i	−0.482094	+	0.876120i	$0.660124\pi$
$462$	−168.329	−	998.926i	−0.364348	−	2.16218i
$463$	−438.512	−	522.598i	−0.947111	−	1.12872i	−0.991552	−	0.129710i	$-0.958595\pi$
$463$	−438.512	−	522.598i	−0.947111	−	1.12872i	0.0444414	−	0.999012i	$-0.485849\pi$
$464$	169.329	−	466.113i	0.364933	−	1.00455i
$465$	−161.391	+	206.990i	−0.347077	+	0.445139i
$466$	86.9521	+	3.78310i	0.186592	+	0.00811825i
$467$	388.222	+	224.140i	0.831310	+	0.479957i	0.854301	−	0.519779i	$-0.173986\pi$
$467$	388.222	+	224.140i	0.831310	+	0.479957i	−0.0229910	+	0.999736i	$0.507319\pi$
$468$	−46.8250	−	291.359i	−0.100053	−	0.622563i
$469$	380.214	+	658.549i	0.810690	+	1.40416i
$470$	156.078	−	81.2796i	0.332082	−	0.172935i
$471$	−111.478	−	521.941i	−0.236684	−	1.10816i
$472$	−295.632	+	13.0433i	−0.626340	+	0.0276342i
$473$	407.463	+	148.305i	0.861445	+	0.313540i
$474$	−513.915	−	94.6454i	−1.08421	−	0.199674i
$475$	−70.8524	−	12.4932i	−0.149163	−	0.0263015i
$476$	−275.534	−	1027.05i	−0.578854	−	2.15767i
$477$	419.258	−	30.1452i	0.878948	−	0.0631974i
$478$	−660.635	+	87.0770i	−1.38208	+	0.182169i
$479$	−370.059	+	441.020i	−0.772567	+	0.920709i	−0.998572	−	0.0534168i	$-0.982989\pi$
$479$	−370.059	+	441.020i	−0.772567	+	0.920709i	0.226006	+	0.974126i	$0.427433\pi$
$480$	−363.167	+	206.308i	−0.756599	+	0.429808i
$481$	57.4954	+	326.073i	0.119533	+	0.677905i
$482$	−150.034	+	677.251i	−0.311275	+	1.40509i
$483$	671.104	−	24.0955i	1.38945	−	0.0498871i
$484$	−56.9669	−	648.851i	−0.117700	−	1.34060i
$485$	−316.060			−0.651670
$486$	−183.708	+	449.942i	−0.378000	+	0.925806i
$487$		−	109.976i		−	0.225824i	−0.993605	−	0.112912i	$-0.963982\pi$
$487$		−	109.976i		−	0.225824i	0.993605	−	0.112912i	$-0.0360178\pi$
$488$	344.115	+	375.190i	0.705153	+	0.768832i
$489$	28.9342	+	805.872i	0.0591702	+	1.64800i
$490$	96.7914	−	436.913i	0.197533	−	0.891660i
$491$	−382.906	+	67.5166i	−0.779849	+	0.137508i	−0.549381	−	0.835572i	$-0.685137\pi$
$491$	−382.906	+	67.5166i	−0.779849	+	0.137508i	−0.230467	+	0.973080i	$0.574025\pi$
$492$	53.6510	+	432.349i	0.109047	+	0.878758i
$493$	−629.855	−	528.511i	−1.27760	−	1.07203i
$494$	192.631	−	25.3903i	0.389942	−	0.0513974i
$495$	47.3109	+	658.000i	0.0955777	+	1.32929i
$496$	321.746	−	0.196583i	0.648682	−	0.000396337i
$497$	35.1026	−	199.077i	0.0706290	−	0.400557i
$498$	435.177	+	80.1446i	0.873850	+	0.160933i
$499$	36.1272	−	99.2586i	0.0723992	−	0.198915i	−0.898215	−	0.439557i	$-0.855136\pi$
$499$	36.1272	−	99.2586i	0.0723992	−	0.198915i	0.970614	+	0.240642i	$0.0773578\pi$
$500$	−310.013	+	443.032i	−0.620026	+	0.886065i
$501$	63.4767	−	13.5576i	0.126700	−	0.0270610i
$502$	−24.8803	+	12.9567i	−0.0495623	+	0.0258101i
$503$	−417.548	+	241.072i	−0.830116	+	0.479268i	−0.853892	−	0.520449i	$-0.825764\pi$
$503$	−417.548	+	241.072i	−0.830116	+	0.479268i	0.0237762	+	0.999717i	$0.492431\pi$
$504$	495.406	−	524.588i	0.982948	−	1.04085i
$505$	114.642	−	198.566i	0.227015	−	0.393201i
$506$	751.924	+	32.7147i	1.48602	+	0.0646535i
$507$	−240.858	−	187.798i	−0.475065	−	0.370411i
$508$	32.9514	−	377.967i	0.0648650	−	0.744029i
$509$	−466.979	+	391.842i	−0.917443	+	0.769826i	−0.973520	−	0.228600i	$-0.926585\pi$
$509$	−466.979	+	391.842i	−0.917443	+	0.769826i	0.0560770	+	0.998426i	$0.482141\pi$
$510$	115.070	+	682.868i	0.225627	+	1.33896i
$511$	344.567	+	946.690i	0.674299	+	1.85262i
$512$	473.295	+	195.283i	0.924405	+	0.381413i
$513$	−292.708	−	129.290i	−0.570580	−	0.252027i
$514$	269.253	−	206.670i	0.523839	−	0.402083i
$515$	64.7845	+	177.994i	0.125795	+	0.345619i
$516$	90.6797	+	295.240i	0.175736	+	0.572170i
$517$	−260.999	+	219.004i	−0.504833	+	0.423605i
$518$	−546.849	+	596.964i	−1.05569	+	1.15244i
$519$	−48.5644	+	348.034i	−0.0935730	+	0.670585i
$520$	85.6708	−	272.148i	0.164752	−	0.523361i
$521$	−96.1278	+	166.498i	−0.184506	+	0.319575i	−0.943410	−	0.331628i	$-0.892402\pi$
$521$	−96.1278	+	166.498i	−0.184506	+	0.319575i	0.758904	+	0.651203i	$0.225735\pi$
$522$	81.2955	−	551.952i	0.155739	−	1.05738i
$523$	−261.108	+	150.751i	−0.499250	+	0.288242i	−0.728404	−	0.685148i	$-0.759738\pi$
$523$	−261.108	+	150.751i	−0.499250	+	0.288242i	0.229154	+	0.973390i	$0.426404\pi$
$524$	19.0943	−	40.9806i	0.0364396	−	0.0782073i
$525$	56.2272	−	173.630i	0.107100	−	0.330723i
$526$	−195.345	−	619.225i	−0.371378	−	1.17723i
$527$	182.449	−	501.276i	0.346204	−	0.951188i
$528$	600.102	−	542.068i	1.13656	−	1.02664i
$529$	5.22135	−	29.6117i	0.00987022	−	0.0559768i
$530$	375.492	+	155.467i	0.708475	+	0.293333i
$531$	−322.862	+	81.1726i	−0.608027	+	0.152867i
$532$	336.030	+	335.825i	0.631635	+	0.631250i
$533$	−227.976	−	191.295i	−0.427723	−	0.358902i
$534$	−222.675	−	392.537i	−0.416995	−	0.735088i
$535$	−302.353	+	53.3130i	−0.565146	+	0.0996504i
$536$	−280.055	+	538.583i	−0.522490	+	1.00482i
$537$	51.0843	−	31.9908i	0.0951291	−	0.0595733i
$538$	301.982	−	474.176i	0.561304	−	0.881368i
$539$			866.433i			1.60748i
$540$	−353.623	+	309.425i	−0.654857	+	0.573008i
$541$	−53.7516			−0.0993561			−0.0496780	−	0.998765i	$-0.515820\pi$
$541$	−53.7516			−0.0993561			−0.0496780	+	0.998765i	$0.515820\pi$
$542$	457.030	+	291.062i	0.843228	+	0.537014i
$543$	271.671	−	512.151i	0.500314	−	0.943188i
$544$	573.018	−	626.299i	1.05334	−	1.15128i
$545$	67.4844	+	382.723i	0.123825	+	0.702244i
$546$	−3.74176	+	492.868i	−0.00685304	+	0.902688i
$547$	309.469	−	368.810i	0.565756	−	0.674242i	−0.404998	−	0.914318i	$-0.632728\pi$
$547$	309.469	−	368.810i	0.565756	−	0.674242i	0.970754	+	0.240076i	$0.0771723\pi$
$548$	−444.101	−	443.830i	−0.810403	−	0.809908i
$549$	464.015	+	335.736i	0.845200	+	0.611540i
$550$	78.2482	−	188.990i	0.142269	−	0.343617i
$551$	361.754	+	63.7870i	0.656541	+	0.115766i
$552$	304.277	+	441.362i	0.551226	+	0.799569i
$553$	820.156	+	298.512i	1.48310	+	0.539806i
$554$	−201.677	+	63.6225i	−0.364039	+	0.114842i
$555$	391.451	−	353.161i	0.705317	−	0.636326i
$556$	−297.506	+	638.513i	−0.535083	+	1.14840i
$557$	220.981	+	382.751i	0.396735	+	0.687165i	0.993321	−	0.115384i	$-0.0368100\pi$
$557$	220.981	+	382.751i	0.396735	+	0.687165i	−0.596586	+	0.802549i	$0.703477\pi$
$558$	354.545	−	72.9150i	0.635385	−	0.130672i
$559$	−182.710	−	105.488i	−0.326852	−	0.188708i
$560$	655.398	−	238.999i	1.17035	−	0.426784i
$561$	−503.480	−	1242.64i	−0.897469	−	2.21505i
$562$	125.006	+	114.512i	0.222431	+	0.203758i
$563$	539.434	+	642.872i	0.958142	+	1.14187i	0.989813	+	0.142370i	$0.0454724\pi$
$563$	539.434	+	642.872i	0.958142	+	1.14187i	−0.0316719	+	0.999498i	$0.510083\pi$
$564$	−236.529	−	54.2862i	−0.419377	−	0.0962521i
$565$	−322.808	+	117.492i	−0.571341	+	0.207951i
$566$	−392.741	−	511.668i	−0.693889	−	0.904008i
$567$	427.444	−	690.073i	0.753870	−	1.21706i
$568$	149.061	−	61.8232i	0.262432	−	0.108844i
$569$	1001.95	−	364.680i	1.76090	−	0.640914i	0.760927	−	0.648838i	$-0.224745\pi$
$569$	1001.95	−	364.680i	1.76090	−	0.640914i	0.999969	+	0.00792419i	$0.00252237\pi$
$570$	−197.061	−	238.502i	−0.345721	−	0.418424i
$571$	421.903	+	502.804i	0.738884	+	0.880567i	0.996319	−	0.0857285i	$-0.0273218\pi$
$571$	421.903	+	502.804i	0.738884	+	0.880567i	−0.257435	+	0.966296i	$0.582877\pi$
$572$	−47.9772	+	550.319i	−0.0838763	+	0.962095i
$573$	−288.603	−	712.302i	−0.503670	−	1.24311i
$574$	31.6291	−	726.974i	0.0551030	−	1.26650i
$575$	117.431	+	67.7987i	0.204227	+	0.117911i
$576$	565.732	+	108.277i	0.982173	+	0.187980i
$577$	−117.795	−	204.027i	−0.204151	−	0.353600i	0.745711	−	0.666270i	$-0.232110\pi$
$577$	−117.795	−	204.027i	−0.204151	−	0.353600i	−0.949862	+	0.312670i	$0.898777\pi$
$578$	−383.097	−	735.647i	−0.662797	−	1.27275i
$579$	−631.305	+	569.553i	−1.09034	+	0.983684i
$580$	309.257	−	441.952i	0.533202	−	0.761987i
$581$	−694.498	−	252.777i	−1.19535	−	0.435072i
$582$	331.755	+	282.695i	0.570026	+	0.485731i
$583$	−774.898	−	136.635i	−1.32916	−	0.234366i
$584$	−489.296	+	638.269i	−0.837836	+	1.09293i
$585$	32.9242	−	319.285i	0.0562806	−	0.545786i
$586$	53.8423	+	408.490i	0.0918810	+	0.697083i
$587$	−294.660	+	351.162i	−0.501976	+	0.598232i	−0.956221	−	0.292645i	$-0.905465\pi$
$587$	−294.660	+	351.162i	−0.501976	+	0.598232i	0.454245	+	0.890877i	$0.349909\pi$
$588$	−492.389	+	372.037i	−0.837397	+	0.632716i
$589$	41.3844	+	234.703i	0.0702622	+	0.398477i
$590$	−314.253	−	69.6178i	−0.532632	−	0.117996i
$591$	399.313	−	752.781i	0.675657	−	1.27374i
$592$	−636.527	−	111.836i	−1.07521	−	0.188912i
$593$	530.547			0.894683			0.447342	−	0.894363i	$-0.352371\pi$
$593$	530.547			0.894683			0.447342	+	0.894363i	$0.352371\pi$
$594$	538.878	−	732.993i	0.907202	−	1.23399i
$595$		−	1156.63i		−	1.94391i
$596$	34.4531	+	392.420i	0.0578071	+	0.658422i
$597$	348.353	−	218.151i	0.583507	−	0.365413i
$598$	−357.529	−	79.2049i	−0.597874	−	0.132450i
$599$	−367.257	+	64.7574i	−0.613118	+	0.108109i	−0.471579	−	0.881824i	$-0.656316\pi$
$599$	−367.257	+	64.7574i	−0.613118	+	0.108109i	−0.141538	+	0.989933i	$0.545205\pi$
$600$	141.001	−	36.6820i	0.235001	−	0.0611367i
$601$	−335.573	−	281.579i	−0.558358	−	0.468518i	0.319402	−	0.947619i	$-0.396518\pi$
$601$	−335.573	−	281.579i	−0.558358	−	0.468518i	−0.877759	+	0.479102i	$0.840962\pi$
$602$	−67.4105	−	511.430i	−0.111978	−	0.849551i
$603$	−186.949	+	656.837i	−0.310032	+	1.08928i
$604$	−0.809874	−	3.01880i	−0.00134085	−	0.00499801i
$605$	123.024	−	697.706i	0.203346	−	1.15323i
$606$	−297.940	+	105.887i	−0.491651	+	0.174731i
$607$	56.8614	−	156.226i	0.0936762	−	0.257373i	−0.884001	−	0.467484i	$-0.845160\pi$
$607$	56.8614	−	156.226i	0.0936762	−	0.257373i	0.977677	+	0.210111i	$0.0673826\pi$
$608$	−81.8014	+	370.320i	−0.134542	+	0.609080i
$609$	−287.082	+	886.509i	−0.471399	+	1.45568i
$610$	255.767	+	491.141i	0.419290	+	0.805149i
$611$	143.564	−	82.8865i	0.234965	−	0.135657i
$612$	489.998	−	819.702i	0.800650	−	1.33938i
$613$	−95.7272	+	165.804i	−0.156162	+	0.270480i	−0.933481	−	0.358626i	$-0.883245\pi$
$613$	−95.7272	+	165.804i	−0.156162	+	0.270480i	0.777320	+	0.629106i	$0.216579\pi$
$614$	19.5143	−	448.524i	0.0317823	−	0.730495i
$615$	−65.4893	+	469.325i	−0.106487	+	0.763131i
$616$	−1138.82	+	726.241i	−1.84873	+	1.17896i
$617$	216.274	−	181.476i	0.350526	−	0.294126i	−0.450475	−	0.892789i	$-0.648745\pi$
$617$	216.274	−	181.476i	0.350526	−	0.294126i	0.801001	+	0.598663i	$0.204301\pi$
$618$	91.2025	−	244.779i	0.147577	−	0.396082i
$619$	−22.1636	−	60.8940i	−0.0358055	−	0.0983748i	0.920502	−	0.390739i	$-0.127780\pi$
$619$	−22.1636	−	60.8940i	−0.0358055	−	0.0983748i	−0.956307	+	0.292364i	$0.905558\pi$
$620$	338.066	+	90.4739i	0.545268	+	0.145926i
$621$	435.061	+	417.663i	0.700582	+	0.672566i
$622$	273.544	+	356.377i	0.439781	+	0.572953i
$623$	257.805	+	708.313i	0.413812	+	1.13694i
$624$	−333.344	+	209.036i	−0.534205	+	0.334993i
$625$	−334.289	+	280.502i	−0.534862	+	0.448803i
$626$	−589.308	−	539.835i	−0.941386	−	0.862357i
$627$	472.382	+	368.319i	0.753401	+	0.587430i
$628$	−582.798	+	408.345i	−0.928023	+	0.650231i
$629$	−535.754	+	927.954i	−0.851756	+	1.47528i
$630$	668.297	−	411.482i	1.06079	−	0.653146i
$631$	310.209	−	179.099i	0.491615	−	0.283834i	−0.233629	−	0.972326i	$-0.575060\pi$
$631$	310.209	−	179.099i	0.491615	−	0.283834i	0.725244	+	0.688492i	$0.241727\pi$
$632$	151.115	+	680.159i	0.239105	+	1.07620i
$633$	−541.782	+	115.716i	−0.855895	+	0.182805i
$634$	−29.4469	+	9.28951i	−0.0464462	+	0.0146522i
$635$	141.143	−	387.786i	0.222272	−	0.610686i
$636$	−255.084	−	499.040i	−0.401075	−	0.784654i
$637$	73.2040	−	415.161i	0.114920	−	0.651744i
$638$	−399.515	+	964.932i	−0.626199	+	1.51243i
$639$	150.308	−	101.814i	0.235224	−	0.159334i
$640$	442.182	+	338.548i	0.690909	+	0.528981i
$641$	−575.070	−	482.541i	−0.897146	−	0.752795i	0.0724847	−	0.997370i	$-0.476907\pi$
$641$	−575.070	−	482.541i	−0.897146	−	0.752795i	−0.969630	+	0.244575i	$0.921352\pi$
$642$	365.053	+	214.475i	0.568618	+	0.334073i
$643$	899.318	−	158.574i	1.39863	−	0.246616i	0.577049	−	0.816709i	$-0.304204\pi$
$643$	899.318	−	158.574i	1.39863	−	0.246616i	0.821580	+	0.570093i	$0.193093\pi$
$644$	−378.652	−	811.376i	−0.587970	−	1.25990i
$645$	12.0538	+	335.721i	0.0186881	+	0.520498i
$646$	530.361	+	337.763i	0.820992	+	0.522853i
$647$		−	457.889i		−	0.707710i	−0.935300	−	0.353855i	$-0.884871\pi$
$647$		−	457.889i		−	0.707710i	0.935300	−	0.353855i	$-0.115129\pi$
$648$	647.944	−	8.49752i	0.999914	−	0.0131135i
$649$	623.187			0.960227
$650$	−53.4610	+	83.9452i	−0.0822477	+	0.129147i
$651$	−604.175	+	21.6925i	−0.928073	+	0.0333218i
$652$	974.312	−	454.692i	1.49434	−	0.697380i
$653$	44.8800	+	254.527i	0.0687289	+	0.389781i	0.999695	+	0.0246765i	$0.00785556\pi$
$653$	44.8800	+	254.527i	0.0687289	+	0.389781i	−0.930967	+	0.365104i	$0.881033\pi$
$654$	271.485	−	462.089i	0.415115	−	0.706559i
$655$	31.6095	−	37.6707i	0.0482587	−	0.0575125i
$656$	502.885	−	290.751i	0.766593	−	0.443218i
$657$	−395.026	+	813.977i	−0.601257	+	1.23893i
$658$	374.499	+	155.055i	0.569147	+	0.235646i
$659$	−773.092	−	136.317i	−1.17313	−	0.206854i	−0.447078	−	0.894495i	$-0.647535\pi$
$659$	−773.092	−	136.317i	−1.17313	−	0.206854i	−0.726051	+	0.687640i	$0.758647\pi$
$660$	783.213	−	400.338i	1.18669	−	0.606573i
$661$	871.348	+	317.145i	1.31823	+	0.479795i	0.902890	−	0.429872i	$-0.141441\pi$
$661$	871.348	+	317.145i	1.31823	+	0.479795i	0.415337	+	0.909668i	$0.363664\pi$
$662$	−167.147	−	529.840i	−0.252488	−	0.800362i
$663$	136.258	+	637.964i	0.205518	+	0.962238i
$664$	−127.962	−	575.950i	−0.192714	−	0.867395i
$665$	258.368	+	447.507i	0.388524	+	0.672943i
$666$	−726.770	+	20.5710i	−1.09125	+	0.0308874i
$667$	−599.571	−	346.162i	−0.898907	−	0.518984i
$668$	−49.6616	−	70.8780i	−0.0743437	−	0.106105i
$669$	402.800	−	516.606i	0.602093	−	0.772206i
$670$	−446.005	+	486.878i	−0.665679	+	0.726684i
$671$	−689.152	−	821.299i	−1.02705	−	1.22399i
$672$	−901.715	−	335.344i	−1.34184	−	0.499024i
$673$	−435.450	+	158.491i	−0.647029	+	0.235499i	−0.644626	−	0.764498i	$-0.722987\pi$
$673$	−435.450	+	158.491i	−0.647029	+	0.235499i	−0.00240244	+	0.999997i	$0.500765\pi$
$674$	−885.811	+	679.921i	−1.31426	+	1.00879i
$675$	147.105	−	72.2854i	0.217934	−	0.107089i
$676$	−105.278	+	393.382i	−0.155736	+	0.581926i
$677$	1255.40	−	456.930i	1.85436	−	0.674933i	0.871559	−	0.490291i	$-0.163110\pi$
$677$	1255.40	−	456.930i	1.85436	−	0.674933i	0.982806	−	0.184642i	$-0.0591126\pi$
$678$	443.928	+	165.404i	0.654761	+	0.243958i
$679$	−467.946	−	557.676i	−0.689169	−	0.821320i
$680$	778.499	−	496.460i	1.14485	−	0.730088i
$681$	900.829	+	125.701i	1.32280	+	0.184583i
$682$	−676.936	−	29.4521i	−0.992575	−	0.0431848i
$683$	608.347	+	351.229i	0.890698	+	0.514245i	0.874171	−	0.485619i	$-0.161406\pi$
$683$	608.347	+	351.229i	0.890698	+	0.514245i	0.0165271	+	0.999863i	$0.494739\pi$
$684$	−6.47777	+	426.604i	−0.00947042	+	0.623690i
$685$	−341.462	−	591.430i	−0.498485	−	0.863402i
$686$	43.1641	−	22.4782i	0.0629214	−	0.0327670i
$687$	−884.467	−	286.420i	−1.28743	−	0.416915i
$688$	315.297	−	264.894i	0.458280	−	0.385020i
$689$	359.757	+	130.941i	0.522143	+	0.190045i
$690$	195.265	+	549.429i	0.282993	+	0.796275i
$691$	57.8084	+	10.1932i	0.0836590	+	0.0147513i	0.215321	−	0.976543i	$-0.430920\pi$
$691$	57.8084	+	10.1932i	0.0836590	+	0.0147513i	−0.131662	+	0.991295i	$0.542031\pi$
$692$	452.539	−	121.406i	0.653957	−	0.175442i
$693$	−1090.97	+	1057.69i	−1.57427	+	1.52625i
$694$	888.701	−	117.138i	1.28055	−	0.168786i
$695$	−492.502	+	586.941i	−0.708636	+	0.844520i
$696$	−719.913	+	187.289i	−1.03436	+	0.269093i
$697$	−167.240	−	948.463i	−0.239942	−	1.36078i
$698$	−220.715	+	996.300i	−0.316210	+	1.42736i
$699$	−69.2905	−	110.646i	−0.0991280	−	0.158292i
$700$	−242.410	+	21.2828i	−0.346300	+	0.0304040i
$701$	−50.6411			−0.0722413			−0.0361206	−	0.999347i	$-0.511500\pi$
$701$	−50.6411			−0.0722413			−0.0361206	+	0.999347i	$0.511500\pi$
$702$	−320.139	+	305.692i	−0.456039	+	0.435459i
$703$		−	478.709i		−	0.680951i
$704$	−977.632	−	454.787i	−1.38868	−	0.646004i
$705$	−233.185	−	123.693i	−0.330759	−	0.175451i
$706$	89.6889	−	404.853i	0.127038	−	0.573447i
$707$	520.099	−	91.7074i	0.735641	−	0.129713i
$708$	267.590	+	354.154i	0.377952	+	0.500218i
$709$	−541.957	−	454.756i	−0.764397	−	0.641405i	0.174870	−	0.984591i	$-0.444049\pi$
$709$	−541.957	−	454.756i	−0.764397	−	0.641405i	−0.939267	+	0.343186i	$0.888494\pi$
$710$	174.020	−	22.9373i	0.245099	−	0.0323060i
$711$	320.221	+	715.443i	0.450381	+	1.00625i
$712$	−366.091	+	477.552i	−0.514173	+	0.670719i
$713$	77.9982	−	442.350i	0.109394	−	0.620406i
$714$	−1034.53	+	1214.07i	−1.44892	+	1.70037i
$715$	−205.503	+	564.615i	−0.287417	+	0.789672i
$716$	−65.8461	−	46.0760i	−0.0919639	−	0.0643519i
$717$	669.541	+	742.134i	0.933809	+	1.03505i
$718$	108.272	−	56.3836i	0.150796	−	0.0785287i
$719$	1042.00	−	601.598i	1.44923	−	0.836715i	0.450798	−	0.892626i	$-0.351140\pi$
$719$	1042.00	−	601.598i	1.44923	−	0.836715i	0.998436	+	0.0559107i	$0.0178062\pi$
$720$	563.813	+	273.195i	0.783073	+	0.379437i
$721$	−218.147	+	377.841i	−0.302561	+	0.524051i
$722$	440.668	+	19.1725i	0.610343	+	0.0265548i
$723$	964.358	−	390.728i	1.33383	−	0.540426i
$724$	−770.072	−	67.1355i	−1.06364	−	0.0927286i
$725$	−144.136	+	120.945i	−0.198809	+	0.166821i
$726$	−753.187	+	622.317i	−1.03745	+	0.857186i
$727$	74.9737	+	205.989i	0.103128	+	0.283341i	0.980516	−	0.196441i	$-0.0629383\pi$
$727$	74.9737	+	205.989i	0.103128	+	0.283341i	−0.877388	+	0.479781i	$0.840716\pi$
$728$	607.036	−	251.769i	0.833841	−	0.345836i
$729$	712.164	−	155.767i	0.976905	−	0.213673i
$730$	−693.919	+	532.631i	−0.950574	+	0.729632i
$731$	−233.516	−	641.581i	−0.319448	−	0.877676i
$732$	170.826	−	744.298i	0.233368	−	1.01680i
$733$	18.6768	−	15.6717i	0.0254799	−	0.0213802i	−0.629959	−	0.776629i	$-0.716928\pi$
$733$	18.6768	−	15.6717i	0.0254799	−	0.0213802i	0.655439	+	0.755248i	$0.272484\pi$
$734$	354.465	−	386.949i	0.482922	−	0.527179i
$735$	−622.134	+	252.069i	−0.846440	+	0.342952i
$736$	383.589	−	603.130i	0.521180	−	0.819470i
$737$	639.196	−	1107.12i	0.867295	−	1.50220i
$738$	488.523	−	434.056i	0.661955	−	0.588152i
$739$	−223.668	+	129.135i	−0.302664	+	0.174743i	−0.643639	−	0.765329i	$-0.722576\pi$
$739$	−223.668	+	129.135i	−0.302664	+	0.174743i	0.340975	+	0.940072i	$0.389243\pi$
$740$	−637.184	−	296.887i	−0.861059	−	0.401198i
$741$	−195.228	−	216.395i	−0.263466	−	0.292031i
$742$	281.623	+	892.720i	0.379546	+	1.20313i
$743$	−118.080	+	324.422i	−0.158923	+	0.436638i	−0.993441	−	0.114342i	$-0.963524\pi$
$743$	−118.080	+	324.422i	−0.158923	+	0.436638i	0.834518	+	0.550980i	$0.185746\pi$
$744$	−273.932	−	397.345i	−0.368188	−	0.534066i
$745$	−74.4041	+	421.967i	−0.0998713	+	0.566398i
$746$	1023.38	+	423.713i	1.37182	+	0.567980i
$747$	−271.159	−	605.828i	−0.362998	−	0.811015i
$748$	−1263.70	+	1264.47i	−1.68944	+	1.69047i
$749$	−541.721	−	454.558i	−0.723259	−	0.606886i
$750$	811.067	+	6.15747i	1.08142	+	0.00820995i
$751$	461.870	−	81.4402i	0.615007	−	0.108442i	0.142538	−	0.989789i	$-0.454474\pi$
$751$	461.870	−	81.4402i	0.615007	−	0.108442i	0.472470	+	0.881347i	$0.343363\pi$
$752$	56.3822	+	318.621i	0.0749763	+	0.423698i
$753$	37.1718	+	19.7178i	0.0493649	+	0.0261856i
$754$	272.958	−	428.603i	0.362013	−	0.568439i
$755$		−	3.39966i		−	0.00450285i
$756$	−1069.53	−	165.833i	−1.41472	−	0.219356i
$757$	−653.653			−0.863479			−0.431739	−	0.901998i	$-0.642100\pi$
$757$	−653.653			−0.863479			−0.431739	+	0.901998i	$0.642100\pi$
$758$	−104.373	−	66.4708i	−0.137696	−	0.0876923i
$759$	−599.194	−	956.819i	−0.789452	−	1.26063i
$760$	−190.307	+	365.985i	−0.250404	+	0.481560i
$761$	114.654	+	650.234i	0.150662	+	0.854446i	0.962645	+	0.270766i	$0.0872769\pi$
$761$	114.654	+	650.234i	0.150662	+	0.854446i	−0.811983	+	0.583681i	$0.801612\pi$
$762$	−495.001	+	280.800i	−0.649608	+	0.368504i
$763$	−575.386	+	685.719i	−0.754110	+	0.898714i
$764$	−724.372	+	724.815i	−0.948131	+	0.948710i
$765$	745.790	−	723.038i	0.974889	−	0.945148i
$766$	−276.777	+	668.487i	−0.361328	+	0.872699i
$767$	−298.607	−	52.6525i	−0.389318	−	0.0686473i
$768$	−161.332	−	750.864i	−0.210067	−	0.977687i
$769$	−1263.92	−	460.030i	−1.64359	−	0.598219i	−0.655931	−	0.754821i	$-0.727724\pi$
$769$	−1263.92	−	460.030i	−1.64359	−	0.598219i	−0.987662	+	0.156602i	$0.949946\pi$
$770$	−1401.07	+	441.990i	−1.81957	+	0.574013i
$771$	−484.374	−	156.857i	−0.628241	−	0.203446i
$772$	1027.61	+	478.798i	1.33109	+	0.620205i
$773$	−116.766	−	202.245i	−0.151056	−	0.261637i	0.780560	−	0.625081i	$-0.214934\pi$
$773$	−116.766	−	202.245i	−0.151056	−	0.261637i	−0.931616	+	0.363444i	$0.881601\pi$
$774$	287.629	−	363.174i	0.371613	−	0.469218i
$775$	−105.720	−	61.0372i	−0.136412	−	0.0787577i
$776$	174.502	−	554.336i	0.224874	−	0.714350i
$777$	1202.71	+	167.825i	1.54789	+	0.215991i
$778$	−441.357	−	404.305i	−0.567297	−	0.519673i
$779$	276.574	+	329.609i	0.355038	+	0.423117i
$780$	−409.109	+	125.653i	−0.524498	+	0.161094i
$781$	−319.346	+	116.233i	−0.408894	+	0.148825i
$782$	−721.574	−	940.077i	−0.922729	−	1.20214i
$783$	−751.081	+	369.070i	−0.959235	+	0.471354i
$784$	712.860	+	410.989i	0.909260	+	0.524221i
$785$	−727.346	+	264.732i	−0.926556	+	0.337239i
$786$	−66.8732	+	11.2688i	−0.0850804	+	0.0143369i
$787$	393.189	+	468.584i	0.499604	+	0.595405i	0.955633	−	0.294560i	$-0.0951730\pi$
$787$	393.189	+	468.584i	0.499604	+	0.595405i	−0.456029	+	0.889965i	$0.650729\pi$
$788$	−1131.88	−	98.6786i	−1.43640	−	0.125227i
$789$	−598.876	+	768.080i	−0.759032	+	0.973486i
$790$	−32.9412	+	757.131i	−0.0416977	+	0.958394i
$791$	−685.248	−	395.628i	−0.866306	−	0.500162i
$792$	−1180.18	−	280.315i	−1.49013	−	0.353933i
$793$	260.824	+	451.760i	0.328908	+	0.569685i
$794$	364.114	+	699.195i	0.458582	+	0.880599i
$795$	−127.330	−	596.159i	−0.160163	−	0.749886i
$796$	−449.017	−	314.201i	−0.564091	−	0.394724i
$797$	494.327	+	179.920i	0.620234	+	0.225747i	0.632975	−	0.774172i	$-0.281833\pi$
$797$	494.327	+	179.920i	0.620234	+	0.225747i	−0.0127409	+	0.999919i	$0.504056\pi$
$798$	129.067	−	700.824i	0.161739	−	0.878225i
$799$	528.321	+	93.1573i	0.661228	+	0.116592i
$800$	−118.375	−	154.025i	−0.147969	−	0.192532i
$801$	−295.558	+	609.017i	−0.368986	+	0.760321i
$802$	−11.4443	−	86.8255i	−0.0142697	−	0.108261i
$803$	1088.67	−	1297.43i	1.35575	−	1.61572i
$804$	903.635	−	112.134i	1.12392	−	0.139470i
$805$	−169.117	−	959.109i	−0.210083	−	1.19144i
$806$	321.873	+	71.3059i	0.399346	+	0.0884688i
$807$	−842.713	+	30.2570i	−1.04425	+	0.0374931i
$808$	284.969	+	310.703i	0.352684	+	0.384533i
$809$	544.887			0.673531			0.336766	−	0.941588i	$-0.390667\pi$
$809$	544.887			0.673531			0.336766	+	0.941588i	$0.390667\pi$
$810$	683.093	+	173.688i	0.843325	+	0.214430i
$811$			770.624i			0.950214i	0.879928	+	0.475107i	$0.157591\pi$
$811$			770.624i			0.950214i	−0.879928	+	0.475107i	$0.842409\pi$
$812$	1237.68	−	108.664i	1.52424	−	0.133823i
$813$	−29.1629	−	812.240i	−0.0358707	−	0.999065i
$814$	1328.80	+	294.375i	1.63243	+	0.361640i
$815$	1151.71	−	203.078i	1.41315	−	0.249176i
$816$	−1261.21	−	175.203i	−1.54560	−	0.214710i
$817$	233.666	+	196.069i	0.286005	+	0.239986i
$818$	−108.509	−	823.233i	−0.132651	−	1.00640i
$819$	612.113	−	414.627i	0.747391	−	0.506261i
$820$	610.251	−	163.716i	0.744208	−	0.199654i
$821$	11.4448	−	64.9068i	0.0139401	−	0.0790582i	−0.977044	−	0.213037i	$-0.931664\pi$
$821$	11.4448	−	64.9068i	0.0139401	−	0.0790582i	0.990984	+	0.133979i	$0.0427755\pi$
$822$	−170.577	+	926.217i	−0.207515	+	1.12678i
$823$	408.452	−	1122.21i	0.496297	−	1.36356i	−0.398531	−	0.917155i	$-0.630480\pi$
$823$	408.452	−	1122.21i	0.496297	−	1.36356i	0.894828	−	0.446410i	$-0.147298\pi$
$824$	−347.951	+	15.3516i	−0.422271	+	0.0186306i
$825$	−300.054	+	64.0866i	−0.363702	+	0.0776807i
$826$	−342.433	−	657.562i	−0.414567	−	0.796079i
$827$	956.879	−	552.455i	1.15705	−	0.668022i	0.206454	−	0.978456i	$-0.433808\pi$
$827$	956.879	−	552.455i	1.15705	−	0.668022i	0.950595	+	0.310434i	$0.100474\pi$
$828$	286.467	−	751.367i	0.345975	−	0.907447i
$829$	281.510	−	487.590i	0.339578	−	0.588167i	−0.644775	−	0.764372i	$-0.723049\pi$
$829$	281.510	−	487.590i	0.339578	−	0.588167i	0.984353	+	0.176205i	$0.0563823\pi$
$830$	27.8942	−	641.129i	0.0336075	−	0.772445i
$831$	250.158	+	195.050i	0.301033	+	0.234717i
$832$	430.018	+	300.515i	0.516849	+	0.361196i
$833$	1045.09	−	876.931i	1.25460	−	1.05274i
$834$	1041.94	−	175.577i	1.24933	−	0.210524i
$835$	−32.1959	−	88.4574i	−0.0385579	−	0.105937i
$836$	206.475	−	771.519i	0.246980	−	0.922869i
$837$	−391.673	−	376.010i	−0.467949	−	0.449236i
$838$	77.3515	+	100.775i	0.0923049	+	0.120256i
$839$	341.688	+	938.779i	0.407256	+	1.11893i	0.958627	+	0.284666i	$0.0918828\pi$
$839$	341.688	+	938.779i	0.407256	+	1.11893i	−0.551371	+	0.834260i	$0.685895\pi$
$840$	−852.784	−	606.433i	−1.01522	−	0.721945i
$841$	91.6803	−	76.9289i	0.109013	−	0.0914731i
$842$	923.710	+	846.165i	1.09704	+	1.00495i
$843$	35.1432	−	251.851i	0.0416882	−	0.298756i
$844$	423.868	+	604.952i	0.502213	+	0.716768i
$845$	−221.469	+	383.596i	−0.262094	+	0.453960i
$846$	134.130	+	338.405i	0.158546	+	0.400006i
$847$	1413.22	−	815.925i	1.66850	−	0.963312i
$848$	−479.987	+	572.737i	−0.566023	+	0.675397i
$849$	−298.079	+	920.468i	−0.351094	+	1.08418i
$850$	−307.154	+	96.8969i	−0.361358	+	0.113996i
$851$	−308.582	+	847.823i	−0.362611	+	0.996266i
$852$	−203.178	−	131.574i	−0.238472	−	0.154429i
$853$	23.3839	−	132.617i	0.0274137	−	0.155471i	−0.968028	−	0.250842i	$-0.919293\pi$
$853$	23.3839	−	132.617i	0.0274137	−	0.155471i	0.995442	+	0.0953710i	$0.0304037\pi$
$854$	−487.922	+	1178.46i	−0.571337	+	1.37993i
$855$	−127.039	+	446.344i	−0.148583	+	0.522039i
$856$	73.4290	−	559.730i	0.0857815	−	0.653891i
$857$	219.310	+	184.023i	0.255904	+	0.214729i	0.761710	−	0.647918i	$-0.224360\pi$
$857$	219.310	+	184.023i	0.255904	+	0.214729i	−0.505806	+	0.862647i	$0.668805\pi$
$858$	720.721	−	408.845i	0.840001	−	0.476509i
$859$	1032.05	−	181.978i	1.20145	−	0.211848i	0.463126	−	0.886292i	$-0.346728\pi$
$859$	1032.05	−	181.978i	1.20145	−	0.211848i	0.738326	+	0.674444i	$0.235617\pi$
$860$	405.892	−	189.422i	0.471968	−	0.220258i
$861$	−925.069	+	579.312i	−1.07441	+	0.672836i
$862$	214.323	+	136.493i	0.248635	+	0.158345i
$863$			1607.61i			1.86282i	0.363973	+	0.931409i	$0.381420\pi$
$863$			1607.61i			1.86282i	−0.363973	+	0.931409i	$0.618580\pi$
$864$	−347.457	−	791.056i	−0.402149	−	0.915574i
$865$	509.631			0.589169
$866$	−631.220	+	991.151i	−0.728892	+	1.14452i
$867$	−583.005	+	1099.08i	−0.672440	+	1.26768i
$868$	340.890	+	730.458i	0.392730	+	0.841542i
$869$	−254.793	−	1445.00i	−0.293203	−	1.66283i
$870$	−809.090	−	6.14245i	−0.929988	−	0.00706029i
$871$	−399.817	+	476.484i	−0.459032	+	0.547054i
$872$	−708.515	−	92.9475i	−0.812517	−	0.106591i
$873$	67.0630	−	650.349i	0.0768190	−	0.744959i
$874$	489.177	+	202.536i	0.559699	+	0.231735i
$875$	−1334.13	−	235.243i	−1.52472	−	0.268849i
$876$	1204.78	+	61.5844i	1.37532	+	0.0703019i
$877$	1014.63	+	369.294i	1.15693	+	0.421087i	0.847999	−	0.529998i	$-0.177807\pi$
$877$	1014.63	+	369.294i	1.15693	+	0.421087i	0.308929	+	0.951085i	$0.400030\pi$
$878$	−259.473	−	822.505i	−0.295527	−	0.936794i
$879$	458.883	−	413.997i	0.522052	−	0.470987i
$880$	−898.875	−	753.310i	−1.02145	−	0.856035i
$881$	152.141	+	263.516i	0.172691	+	0.299110i	0.939360	−	0.342933i	$-0.111420\pi$
$881$	152.141	+	263.516i	0.172691	+	0.299110i	−0.766668	+	0.642043i	$0.778087\pi$
$882$	878.489	+	291.872i	0.996019	+	0.330920i
$883$	−960.150	−	554.343i	−1.08737	−	0.627795i	−0.154497	−	0.987993i	$-0.549376\pi$
$883$	−960.150	−	554.343i	−1.08737	−	0.627795i	−0.932876	+	0.360198i	$0.882709\pi$
$884$	712.349	−	499.116i	0.805824	−	0.564611i
$885$	181.303	+	447.474i	0.204862	+	0.505620i
$886$	1062.42	−	1159.79i	1.19912	−	1.30901i
$887$	215.519	+	256.845i	0.242975	+	0.289566i	0.873725	−	0.486419i	$-0.161697\pi$
$887$	215.519	+	256.845i	0.242975	+	0.289566i	−0.630750	+	0.775986i	$0.717253\pi$
$888$	403.280	+	881.550i	0.454144	+	0.992737i
$889$	893.205	−	325.100i	1.00473	−	0.365692i
$890$	−519.190	+	398.514i	−0.583359	+	0.447769i
$891$	−1363.99	−	42.2667i	−1.53085	−	0.0474374i
$892$	−843.747	−	225.805i	−0.945905	−	0.253145i
$893$	−225.221	+	81.9736i	−0.252207	+	0.0917958i
$894$	455.521	−	376.372i	0.509531	−	0.420998i
$895$	−56.1887	−	66.9631i	−0.0627807	−	0.0748191i
$896$	57.3224	+	1281.46i	0.0639759	+	1.43020i
$897$	206.270	+	509.095i	0.229955	+	0.567553i
$898$	969.184	+	42.1672i	1.07927	+	0.0469568i
$899$	539.776	+	311.640i	0.600419	+	0.346652i
$900$	−165.260	−	143.001i	−0.183622	−	0.158890i
$901$	619.478	+	1072.97i	0.687545	+	1.19086i
$902$	−1085.00	+	565.027i	−1.20288	+	0.626415i
$903$	−574.522	+	518.324i	−0.636237	+	0.574003i
$904$	−27.8416	−	631.041i	−0.0307982	−	0.698054i
$905$	−790.078	−	287.565i	−0.873014	−	0.317751i
$906$	−3.04077	+	3.56848i	−0.00335626	+	0.00393872i
$907$	−187.688	−	33.0945i	−0.206933	−	0.0364878i	0.0692208	−	0.997601i	$-0.477949\pi$
$907$	−187.688	−	33.0945i	−0.206933	−	0.0364878i	−0.276154	+	0.961114i	$0.589060\pi$
$908$	−314.239	−	1171.32i	−0.346078	−	1.29000i
$909$	384.260	+	278.030i	0.422728	+	0.305863i
$910$	708.680	−	93.4096i	0.778769	−	0.102648i
$911$	358.732	−	427.520i	0.393778	−	0.469287i	−0.532334	−	0.846534i	$-0.678685\pi$
$911$	358.732	−	427.520i	0.393778	−	0.469287i	0.926112	+	0.377248i	$0.123129\pi$
$912$	527.108	−	213.943i	0.577969	−	0.234587i
$913$	215.756	+	1223.61i	0.236315	+	1.34021i
$914$	374.487	−	1690.42i	0.409723	−	1.84948i
$915$	389.232	−	733.777i	0.425391	−	0.801942i
$916$	108.414	+	1234.83i	0.118356	+	1.34807i
$917$	113.268			0.123521
$918$	−1429.54	+	91.8825i	−1.55723	+	0.100090i
$919$			1133.08i			1.23295i	0.787376	+	0.616473i	$0.211439\pi$
$919$			1133.08i			1.23295i	−0.787376	+	0.616473i	$0.788561\pi$
$920$	572.964	−	525.508i	0.622787	−	0.571205i
$921$	−570.743	+	357.420i	−0.619700	+	0.388078i
$922$	300.195	−	1355.07i	0.325591	−	1.46971i
$923$	162.839	−	28.7128i	0.176423	−	0.0311082i
$924$	1865.98	+	789.226i	2.01946	+	0.854141i
$925$	187.838	+	157.615i	0.203068	+	0.170394i
$926$	1352.71	−	178.298i	1.46081	−	0.192546i
$927$	−380.000	+	95.5380i	−0.409925	+	0.103061i
$928$	604.392	+	786.414i	0.651284	+	0.847429i
$929$	−2.83827	+	16.0966i	−0.00305519	+	0.0173269i	−0.986297	−	0.164978i	$-0.947245\pi$
$929$	−2.83827	+	16.0966i	−0.00305519	+	0.0173269i	0.983242	+	0.182305i	$0.0583558\pi$
$930$	−175.792	−	494.636i	−0.189023	−	0.531866i
$931$	−208.461	+	572.742i	−0.223911	+	0.615190i
$932$	−99.7981	+	142.619i	−0.107080	+	0.153025i
$933$	207.612	−	641.105i	0.222521	−	0.687144i
$934$	−795.195	+	414.107i	−0.851386	+	0.443369i
$935$	−1683.96	+	972.232i	−1.80102	+	1.03982i
$936$	541.814	+	234.028i	0.578861	+	0.250030i
$937$	−208.069	+	360.386i	−0.222059	+	0.384617i	−0.955433	−	0.295208i	$-0.904611\pi$
$937$	−208.069	+	360.386i	−0.222059	+	0.384617i	0.733374	+	0.679825i	$0.237944\pi$
$938$	−1519.42	−	66.1067i	−1.61985	−	0.0704762i
$939$	−165.673	+	1187.28i	−0.176435	+	1.26441i
$940$	−30.5672	+	350.618i	−0.0325183	+	0.372998i
$941$	−248.379	+	208.415i	−0.263952	+	0.221482i	−0.765153	−	0.643849i	$-0.777336\pi$
$941$	−248.379	+	208.415i	−0.263952	+	0.221482i	0.501200	+	0.865331i	$0.332892\pi$
$942$	1000.25	+	372.686i	1.06184	+	0.395632i
$943$	−277.360	−	762.040i	−0.294125	−	0.808102i
$944$	295.607	−	512.729i	0.313143	−	0.543145i
$945$	−1076.86	−	475.650i	−1.13953	−	0.503333i
$946$	−687.937	+	528.040i	−0.727206	+	0.558181i
$947$	505.822	+	1389.74i	0.534131	+	1.46751i	0.854112	+	0.520090i	$0.174101\pi$
$947$	505.822	+	1389.74i	0.534131	+	1.46751i	−0.319980	+	0.947424i	$0.603676\pi$
$948$	711.782	−	765.266i	0.750825	−	0.807243i
$949$	−631.266	+	529.695i	−0.665191	+	0.558161i
$950$	97.1951	−	106.102i	0.102311	−	0.111687i
$951$	36.5256	+	28.4792i	0.0384075	+	0.0299465i
$952$	2028.60	+	638.594i	2.13088	+	0.670792i
$953$	−711.138	+	1231.73i	−0.746210	+	1.29247i	0.203417	+	0.979092i	$0.434795\pi$
$953$	−711.138	+	1231.73i	−0.746210	+	1.29247i	−0.949627	+	0.313382i	$0.898538\pi$
$954$	−399.573	+	739.653i	−0.418840	+	0.775317i
$955$	−965.270	+	557.299i	−1.01075	+	0.583559i
$956$	562.854	−	1208.01i	0.588759	−	1.26361i
$957$	1532.00	−	327.210i	1.60083	−	0.341912i
$958$	−346.407	−	1098.08i	−0.361594	−	1.14622i
$959$	538.002	−	1478.15i	0.561003	−	1.54134i
$960$	42.1350	−	834.289i	0.0438906	−	0.869051i
$961$	96.6563	−	548.165i	0.100579	−	0.570411i
$962$	−611.837	−	253.322i	−0.636005	−	0.263328i
$963$	−45.5463	−	633.457i	−0.0472962	−	0.657795i
$964$	−981.299	−	980.699i	−1.01794	−	1.01732i
$965$	944.607	+	792.620i	0.978868	+	0.821368i
$966$	−680.347	+	1158.00i	−0.704293	+	1.19876i
$967$	−1199.62	+	211.526i	−1.24056	+	0.218745i	−0.755156	−	0.655545i	$-0.772439\pi$
$967$	−1199.62	+	211.526i	−1.24056	+	0.218745i	−0.485405	+	0.874289i	$0.661328\pi$
$968$	1155.78	+	600.988i	1.19399	+	0.620855i
$969$	−33.8421	−	942.565i	−0.0349247	−	0.972719i
$970$	339.556	−	533.176i	0.350058	−	0.549666i
$971$		−	203.866i		−	0.209955i	−0.994475	−	0.104977i	$-0.966523\pi$
$971$		−	203.866i		−	0.209955i	0.994475	−	0.104977i	$-0.0334770\pi$
$972$	−561.662	−	793.297i	−0.577842	−	0.816149i
$973$	−1764.82			−1.81379
$974$	185.524	+	118.152i	0.190476	+	0.121306i
$975$	149.189	−	5.35651i	0.153014	−	0.00549386i
$976$	−1002.62	+	177.421i	−1.02728	+	0.181784i
$977$	−65.5958	−	372.012i	−0.0671400	−	0.380770i	−0.999800	−	0.0200126i	$-0.993629\pi$
$977$	−65.5958	−	372.012i	−0.0671400	−	0.380770i	0.932660	−	0.360757i	$-0.117482\pi$
$978$	−1390.55	−	816.971i	−1.42183	−	0.835349i
$979$	814.542	−	970.733i	0.832014	−	0.991556i
$980$	633.063	+	632.676i	0.645983	+	0.645588i
$981$	−801.839	+	57.6531i	−0.817369	+	0.0587698i
$982$	297.475	−	718.478i	0.302927	−	0.731647i
$983$	215.781	+	38.0481i	0.219513	+	0.0387061i	0.282323	−	0.959319i	$-0.408895\pi$
$983$	215.781	+	38.0481i	0.219513	+	0.0387061i	−0.0628098	+	0.998026i	$0.520006\pi$
$984$	−786.990	−	373.984i	−0.799786	−	0.380065i
$985$	−1161.29	−	422.675i	−1.17897	−	0.429112i
$986$	1568.25	−	494.730i	1.59052	−	0.501755i
$987$	−126.993	−	594.583i	−0.128666	−	0.602414i
$988$	−164.120	+	352.237i	−0.166113	+	0.356515i
$989$	−287.448	−	497.874i	−0.290645	−	0.503412i
$990$	−1160.84	−	627.105i	−1.17256	−	0.633440i
$991$	1357.24	+	783.603i	1.36957	+	0.790720i	0.990873	−	0.134802i	$-0.0430400\pi$
$991$	1357.24	+	783.603i	1.36957	+	0.790720i	0.378694	+	0.925522i	$0.376373\pi$
$992$	−345.334	+	542.980i	−0.348119	+	0.547359i
$993$	−512.428	+	657.207i	−0.516040	+	0.661840i
$994$	298.120	+	273.093i	0.299919	+	0.274741i
$995$	−383.161	−	456.633i	−0.385086	−	0.458928i
$996$	−602.729	+	648.018i	−0.605149	+	0.650621i
$997$	136.762	−	49.7773i	0.137174	−	0.0499271i	−0.272521	−	0.962150i	$-0.587857\pi$
$997$	136.762	−	49.7773i	0.137174	−	0.0499271i	0.409695	+	0.912223i	$0.365635\pi$
$998$	128.631	+	167.582i	0.128889	+	0.167918i
$999$	643.631	+	880.415i	0.644275	+	0.881296i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	108.3.j.a.7.12	yes	204
3.2	odd	2		324.3.j.a.19.23		204
4.3	odd	2	inner	108.3.j.a.7.4	✓	204
12.11	even	2		324.3.j.a.19.31		204
27.4	even	9	inner	108.3.j.a.31.4	yes	204
27.23	odd	18		324.3.j.a.307.31		204
108.23	even	18		324.3.j.a.307.23		204
108.31	odd	18	inner	108.3.j.a.31.12	yes	204

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
108.3.j.a.7.4	✓	204	4.3	odd	2	inner
108.3.j.a.7.12	yes	204	1.1	even	1	trivial
108.3.j.a.31.4	yes	204	27.4	even	9	inner
108.3.j.a.31.12	yes	204	108.31	odd	18	inner
324.3.j.a.19.23		204	3.2	odd	2
324.3.j.a.19.31		204	12.11	even	2
324.3.j.a.307.23		204	108.23	even	18
324.3.j.a.307.31		204	27.23	odd	18

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:	\( N \)	\(=\)	\( 108 = 2^{2} \cdot 3^{3} \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	108.j (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.07434 + 1.68695i) q^{2} +(2.99807 - 0.107643i) q^{3} +(-1.69158 - 3.62471i) q^{4} +(-0.755508 - 4.28470i) q^{5} +(-3.03936 + 5.17323i) q^{6} +(6.44162 - 7.67682i) q^{7} +(7.93204 + 1.04057i) q^{8} +(8.97683 - 0.645444i) q^{9} +O(q^{10})\)	\(q+(-1.07434 + 1.68695i) q^{2} +(2.99807 - 0.107643i) q^{3} +(-1.69158 - 3.62471i) q^{4} +(-0.755508 - 4.28470i) q^{5} +(-3.03936 + 5.17323i) q^{6} +(6.44162 - 7.67682i) q^{7} +(7.93204 + 1.04057i) q^{8} +(8.97683 - 0.645444i) q^{9} +(8.03973 + 3.32873i) q^{10} +(-16.5915 - 2.92553i) q^{11} +(-5.46165 - 10.6851i) q^{12} +(7.70282 + 2.80360i) q^{13} +(6.02990 + 19.1142i) q^{14} +(-2.72628 - 12.7645i) q^{15} +(-10.2771 + 12.2630i) q^{16} +(13.2638 + 22.9735i) q^{17} +(-8.55535 + 15.8369i) q^{18} +(-10.2637 - 5.92574i) q^{19} +(-14.2528 + 9.98641i) q^{20} +(18.4861 - 23.7090i) q^{21} +(22.7602 - 24.8460i) q^{22} +(14.3578 + 17.1110i) q^{23} +(23.8928 + 2.26588i) q^{24} +(5.70448 - 2.07626i) q^{25} +(-13.0050 + 9.98223i) q^{26} +(26.8437 - 2.90138i) q^{27} +(-38.7228 - 10.3631i) q^{28} +(-29.1256 + 10.6009i) q^{29} +(24.4620 + 9.11432i) q^{30} +(-12.9259 - 15.4045i) q^{31} +(-9.64589 - 30.5116i) q^{32} +(-50.0574 - 6.98497i) q^{33} +(-53.0049 - 2.30613i) q^{34} +(-37.7596 - 21.8005i) q^{35} +(-17.5246 - 31.4466i) q^{36} +(20.1962 + 34.9808i) q^{37} +(21.0231 - 10.9480i) q^{38} +(23.3954 + 7.57622i) q^{39} +(-1.53417 - 34.7725i) q^{40} +(-34.1160 - 12.4172i) q^{41} +(20.1356 + 56.6566i) q^{42} +(-25.3466 - 4.46929i) q^{43} +(17.4617 + 65.0882i) q^{44} +(-9.54759 - 37.9753i) q^{45} +(-44.2905 + 5.83783i) q^{46} +(12.9992 - 15.4919i) q^{47} +(-29.4915 + 37.8716i) q^{48} +(-8.93040 - 50.6468i) q^{49} +(-2.62602 + 11.8538i) q^{50} +(42.2386 + 67.4484i) q^{51} +(-2.86770 - 32.6630i) q^{52} +46.7045 q^{53} +(-23.9448 + 48.4009i) q^{54} +73.2998i q^{55} +(59.0835 - 54.1899i) q^{56} +(-31.4091 - 16.6610i) q^{57} +(13.4078 - 60.5223i) q^{58} +(-36.4280 + 6.42325i) q^{59} +(-41.6559 + 31.4742i) q^{60} +(48.7491 + 40.9054i) q^{61} +(39.8734 - 5.25563i) q^{62} +(52.8703 - 73.0712i) q^{63} +(61.8344 + 16.5078i) q^{64} +(6.19303 - 35.1224i) q^{65} +(65.5620 - 76.9399i) q^{66} +(-25.9527 + 71.3043i) q^{67} +(60.8357 - 86.9390i) q^{68} +(44.8875 + 49.7543i) q^{69} +(77.3429 - 40.2772i) q^{70} +(17.4692 - 10.0858i) q^{71} +(71.8761 + 4.22137i) q^{72} +(-50.2648 + 87.0613i) q^{73} +(-80.7083 - 3.51145i) q^{74} +(16.8789 - 6.83883i) q^{75} +(-4.11727 + 47.2268i) q^{76} +(-129.335 + 108.525i) q^{77} +(-37.9153 + 31.3273i) q^{78} +(29.7876 + 81.8406i) q^{79} +(60.3076 + 34.7695i) q^{80} +(80.1668 - 11.5881i) q^{81} +(57.5993 - 44.2115i) q^{82} +(-25.2237 - 69.3017i) q^{83} +(-117.209 - 26.9009i) q^{84} +(88.4137 - 74.1879i) q^{85} +(34.7704 - 37.9569i) q^{86} +(-86.1795 + 34.9173i) q^{87} +(-128.560 - 40.4701i) q^{88} +(-37.6081 + 65.1392i) q^{89} +(74.3198 + 24.6922i) q^{90} +(71.1414 - 41.0735i) q^{91} +(37.7350 - 80.9875i) q^{92} +(-40.4110 - 44.7924i) q^{93} +(12.1684 + 38.5725i) q^{94} +(-17.6357 + 48.4537i) q^{95} +(-32.2034 - 90.4375i) q^{96} +(12.6145 - 71.5405i) q^{97} +(95.0328 + 39.3469i) q^{98} +(-150.827 - 15.5531i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 204 q - 6 q^{2} - 6 q^{4} - 12 q^{5} - 6 q^{6} - 3 q^{8} - 12 q^{9}+O(q^{10}) \) 204 * q - 6 * q^2 - 6 * q^4 - 12 * q^5 - 6 * q^6 - 3 * q^8 - 12 * q^9	\( 204 q - 6 q^{2} - 6 q^{4} - 12 q^{5} - 6 q^{6} - 3 q^{8} - 12 q^{9} - 3 q^{10} + 39 q^{12} - 12 q^{13} + 39 q^{14} - 6 q^{16} - 6 q^{17} - 27 q^{18} - 69 q^{20} - 12 q^{21} - 6 q^{22} - 138 q^{24} - 12 q^{25} - 174 q^{26} - 12 q^{28} + 60 q^{29} - 153 q^{30} - 96 q^{32} + 48 q^{33} + 6 q^{34} + 24 q^{36} - 6 q^{37} + 72 q^{38} + 69 q^{40} - 192 q^{41} - 126 q^{42} - 219 q^{44} - 132 q^{45} - 3 q^{46} - 219 q^{48} - 12 q^{49} - 165 q^{50} + 21 q^{52} - 24 q^{53} + 78 q^{54} + 99 q^{56} - 150 q^{57} - 141 q^{58} + 210 q^{60} - 12 q^{61} + 294 q^{62} - 3 q^{64} - 156 q^{65} + 393 q^{66} + 375 q^{68} - 60 q^{69} - 165 q^{70} + 228 q^{72} - 6 q^{73} + 447 q^{74} - 54 q^{76} + 132 q^{77} + 750 q^{78} + 798 q^{80} + 228 q^{81} - 12 q^{82} + 762 q^{84} + 138 q^{85} + 606 q^{86} - 198 q^{88} - 114 q^{89} + 894 q^{90} + 723 q^{92} - 1020 q^{93} - 357 q^{94} + 474 q^{96} + 168 q^{97} + 510 q^{98}+O(q^{100}) \) 204 * q - 6 * q^2 - 6 * q^4 - 12 * q^5 - 6 * q^6 - 3 * q^8 - 12 * q^9 - 3 * q^10 + 39 * q^12 - 12 * q^13 + 39 * q^14 - 6 * q^16 - 6 * q^17 - 27 * q^18 - 69 * q^20 - 12 * q^21 - 6 * q^22 - 138 * q^24 - 12 * q^25 - 174 * q^26 - 12 * q^28 + 60 * q^29 - 153 * q^30 - 96 * q^32 + 48 * q^33 + 6 * q^34 + 24 * q^36 - 6 * q^37 + 72 * q^38 + 69 * q^40 - 192 * q^41 - 126 * q^42 - 219 * q^44 - 132 * q^45 - 3 * q^46 - 219 * q^48 - 12 * q^49 - 165 * q^50 + 21 * q^52 - 24 * q^53 + 78 * q^54 + 99 * q^56 - 150 * q^57 - 141 * q^58 + 210 * q^60 - 12 * q^61 + 294 * q^62 - 3 * q^64 - 156 * q^65 + 393 * q^66 + 375 * q^68 - 60 * q^69 - 165 * q^70 + 228 * q^72 - 6 * q^73 + 447 * q^74 - 54 * q^76 + 132 * q^77 + 750 * q^78 + 798 * q^80 + 228 * q^81 - 12 * q^82 + 762 * q^84 + 138 * q^85 + 606 * q^86 - 198 * q^88 - 114 * q^89 + 894 * q^90 + 723 * q^92 - 1020 * q^93 - 357 * q^94 + 474 * q^96 + 168 * q^97 + 510 * q^98

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