LMFDB - Embedded newform 135.3.n.a.104.17

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [135,3,Mod(14,135)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(135, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([17, 9]))

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

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

chi := DirichletCharacter("135.14");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 135 = 3^{3} \cdot 5 $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	135.n (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:	$3.67848356886$
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			104.17
Character	$\chi$	$=$	135.104
Dual form			135.3.n.a.74.17

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.0877654 - 0.0319440i) q^{2} +(-0.692647 - 2.91895i) q^{3} +(-3.05750 - 2.56554i) q^{4} +(-4.21917 + 2.68302i) q^{5} +(-0.0324524 + 0.278308i) q^{6} +(3.75824 + 4.47890i) q^{7} +(0.373185 + 0.646375i) q^{8} +(-8.04048 + 4.04359i) q^{9} +O(q^{10})$	\(q+(-0.0877654 - 0.0319440i) q^{2} +(-0.692647 - 2.91895i) q^{3} +(-3.05750 - 2.56554i) q^{4} +(-4.21917 + 2.68302i) q^{5} +(-0.0324524 + 0.278308i) q^{6} +(3.75824 + 4.47890i) q^{7} +(0.373185 + 0.646375i) q^{8} +(-8.04048 + 4.04359i) q^{9} +(0.456004 - 0.100699i) q^{10} +(-7.07052 + 1.24672i) q^{11} +(-5.37092 + 10.7017i) q^{12} +(2.12766 + 5.84570i) q^{13} +(-0.186770 - 0.513146i) q^{14} +(10.7540 + 10.4571i) q^{15} +(2.76021 + 15.6539i) q^{16} +(-8.13873 + 14.0967i) q^{17} +(0.834844 - 0.0980426i) q^{18} +(-15.0955 - 26.1461i) q^{19} +(19.7835 + 2.62116i) q^{20} +(10.4705 - 14.0724i) q^{21} +(0.660373 + 0.116442i) q^{22} +(-26.7281 - 22.4275i) q^{23} +(1.62825 - 1.53701i) q^{24} +(10.6028 - 22.6402i) q^{25} -0.581016i q^{26} +(17.3722 + 20.6689i) q^{27} -23.3362i q^{28} +(-11.4846 + 31.5538i) q^{29} +(-0.609784 - 1.26130i) q^{30} +(-31.5036 - 26.4347i) q^{31} +(0.776220 - 4.40216i) q^{32} +(8.53649 + 19.7749i) q^{33} +(1.16460 - 0.977218i) q^{34} +(-27.8736 - 8.81382i) q^{35} +(34.9578 + 8.26493i) q^{36} +(-14.6590 - 8.46337i) q^{37} +(0.489648 + 2.77693i) q^{38} +(15.5896 - 10.2595i) q^{39} +(-3.30876 - 1.72590i) q^{40} +(2.16249 + 5.94140i) q^{41} +(-1.36848 + 0.900599i) q^{42} +(52.3434 - 9.22956i) q^{43} +(24.8166 + 14.3279i) q^{44} +(23.0751 - 38.6334i) q^{45} +(1.62938 + 2.82216i) q^{46} +(-22.2454 + 18.6661i) q^{47} +(43.7811 - 18.8995i) q^{48} +(2.57261 - 14.5900i) q^{49} +(-1.65378 + 1.64833i) q^{50} +(46.7847 + 13.9925i) q^{51} +(8.49208 - 23.3318i) q^{52} -40.9156 q^{53} +(-0.864433 - 2.36896i) q^{54} +(26.4868 - 24.2305i) q^{55} +(-1.49253 + 4.10069i) q^{56} +(-65.8632 + 62.1728i) q^{57} +(2.01591 - 2.40246i) q^{58} +(75.0767 + 13.2381i) q^{59} +(-6.05197 - 59.5625i) q^{60} +(-1.28643 + 1.07944i) q^{61} +(1.92050 + 3.32640i) q^{62} +(-48.3289 - 20.8157i) q^{63} +(31.5820 - 54.7017i) q^{64} +(-24.6611 - 18.9555i) q^{65} +(-0.117518 - 2.00824i) q^{66} +(40.8340 + 112.190i) q^{67} +(61.0498 - 22.2203i) q^{68} +(-46.9516 + 93.5521i) q^{69} +(2.16479 + 1.66394i) q^{70} +(-109.344 - 63.1295i) q^{71} +(-5.61426 - 3.68816i) q^{72} +(-37.7202 + 21.7778i) q^{73} +(1.01620 + 1.21106i) q^{74} +(-73.4296 - 15.2674i) q^{75} +(-20.9247 + 118.670i) q^{76} +(-32.1567 - 26.9827i) q^{77} +(-1.69595 + 0.402439i) q^{78} +(-11.3837 - 4.14333i) q^{79} +(-53.6455 - 58.6409i) q^{80} +(48.2987 - 65.0249i) q^{81} -0.590528i q^{82} +(79.9886 + 29.1135i) q^{83} +(-68.1170 + 16.1637i) q^{84} +(-3.48297 - 81.3127i) q^{85} +(-4.88877 - 0.862022i) q^{86} +(100.058 + 11.6674i) q^{87} +(-3.44446 - 4.10495i) q^{88} +(13.1298 - 7.58047i) q^{89} +(-3.25930 + 2.65356i) q^{90} +(-18.1860 + 31.4991i) q^{91} +(24.1822 + 137.144i) q^{92} +(-55.3405 + 110.267i) q^{93} +(2.54864 - 0.927630i) q^{94} +(133.841 + 69.8135i) q^{95} +(-13.3873 + 0.783399i) q^{96} +(-103.416 + 18.2349i) q^{97} +(-0.691848 + 1.19832i) q^{98} +(51.8092 - 38.6146i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 204 q - 12 q^{4} + 3 q^{5} - 24 q^{6} - 18 q^{9}+O(q^{10}) $ 204 * q - 12 * q^4 + 3 * q^5 - 24 * q^6 - 18 * q^9	$ 204 q - 12 q^{4} + 3 q^{5} - 24 q^{6} - 18 q^{9} - 3 q^{10} + 6 q^{11} - 48 q^{14} - 3 q^{15} + 12 q^{16} - 6 q^{19} + 63 q^{20} - 192 q^{21} + 42 q^{24} - 15 q^{25} + 96 q^{29} - 177 q^{30} - 102 q^{31} + 12 q^{34} - 252 q^{35} + 324 q^{36} - 258 q^{39} + 117 q^{40} + 96 q^{41} - 666 q^{44} - 279 q^{45} - 6 q^{46} + 60 q^{49} + 48 q^{50} + 270 q^{51} + 432 q^{54} - 12 q^{55} + 294 q^{56} + 510 q^{59} + 390 q^{60} + 132 q^{61} - 486 q^{64} + 147 q^{65} - 186 q^{66} - 84 q^{69} - 141 q^{70} - 18 q^{71} - 954 q^{74} - 285 q^{75} + 84 q^{76} - 48 q^{79} - 1026 q^{81} + 198 q^{84} + 69 q^{85} - 1506 q^{86} + 792 q^{89} - 180 q^{90} - 6 q^{91} + 492 q^{94} - 543 q^{95} + 654 q^{96} + 792 q^{99}+O(q^{100}) $ 204 * q - 12 * q^4 + 3 * q^5 - 24 * q^6 - 18 * q^9 - 3 * q^10 + 6 * q^11 - 48 * q^14 - 3 * q^15 + 12 * q^16 - 6 * q^19 + 63 * q^20 - 192 * q^21 + 42 * q^24 - 15 * q^25 + 96 * q^29 - 177 * q^30 - 102 * q^31 + 12 * q^34 - 252 * q^35 + 324 * q^36 - 258 * q^39 + 117 * q^40 + 96 * q^41 - 666 * q^44 - 279 * q^45 - 6 * q^46 + 60 * q^49 + 48 * q^50 + 270 * q^51 + 432 * q^54 - 12 * q^55 + 294 * q^56 + 510 * q^59 + 390 * q^60 + 132 * q^61 - 486 * q^64 + 147 * q^65 - 186 * q^66 - 84 * q^69 - 141 * q^70 - 18 * q^71 - 954 * q^74 - 285 * q^75 + 84 * q^76 - 48 * q^79 - 1026 * q^81 + 198 * q^84 + 69 * q^85 - 1506 * q^86 + 792 * q^89 - 180 * q^90 - 6 * q^91 + 492 * q^94 - 543 * q^95 + 654 * q^96 + 792 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/135\mathbb{Z}\right)^\times$.

$n$	$56$	$82$
$\chi(n)$	$e\left(\frac{11}{18}\right)$	$-1$

Coefficient data

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

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

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

$2$	−0.0877654	−	0.0319440i	−0.0438827	−	0.0159720i	0.319986	−	0.947422i	$-0.396322\pi$
$2$	−0.0877654	−	0.0319440i	−0.0438827	−	0.0159720i	−0.363868	+	0.931450i	$0.618544\pi$
$3$	−0.692647	−	2.91895i	−0.230882	−	0.972982i
$3$	−0.692647	−	2.91895i	−0.230882	−	0.972982i
$4$	−3.05750	−	2.56554i	−0.764374	−	0.641386i
$5$	−4.21917	+	2.68302i	−0.843834	+	0.536604i
$5$	−4.21917	+	2.68302i	−0.843834	+	0.536604i
$6$	−0.0324524	+	0.278308i	−0.00540873	+	0.0463847i
$7$	3.75824	+	4.47890i	0.536892	+	0.639843i	0.964488	−	0.264127i	$-0.0850838\pi$
$7$	3.75824	+	4.47890i	0.536892	+	0.639843i	−0.427596	+	0.903970i	$0.640639\pi$
$8$	0.373185	+	0.646375i	0.0466481	+	0.0807968i
$9$	−8.04048	+	4.04359i	−0.893387	+	0.449288i
$10$	0.456004	−	0.100699i	0.0456004	−	0.0100699i
$11$	−7.07052	+	1.24672i	−0.642775	+	0.113339i	−0.485529	−	0.874221i	$-0.661373\pi$
$11$	−7.07052	+	1.24672i	−0.642775	+	0.113339i	−0.157246	+	0.987559i	$0.550262\pi$
$12$	−5.37092	+	10.7017i	−0.447576	+	0.891806i
$13$	2.12766	+	5.84570i	0.163666	+	0.449669i	0.994232	−	0.107251i	$-0.0342050\pi$
$13$	2.12766	+	5.84570i	0.163666	+	0.449669i	−0.830566	+	0.556921i	$0.811983\pi$
$14$	−0.186770	−	0.513146i	−0.0133407	−	0.0366533i
$15$	10.7540	+	10.4571i	0.716932	+	0.697143i
$16$	2.76021	+	15.6539i	0.172513	+	0.978369i
$17$	−8.13873	+	14.0967i	−0.478749	+	0.829217i	−0.999703	−	0.0243676i	$-0.992243\pi$
$17$	−8.13873	+	14.0967i	−0.478749	+	0.829217i	0.520954	+	0.853584i	$0.325576\pi$
$18$	0.834844	−	0.0980426i	0.0463802	−	0.00544681i
$19$	−15.0955	−	26.1461i	−0.794498	−	1.37611i	−0.923158	−	0.384422i	$-0.874401\pi$
$19$	−15.0955	−	26.1461i	−0.794498	−	1.37611i	0.128660	−	0.991689i	$-0.458933\pi$
$20$	19.7835	+	2.62116i	0.989175	+	0.131058i
$21$	10.4705	−	14.0724i	0.498597	−	0.670114i
$22$	0.660373	+	0.116442i	0.0300169	+	0.00529280i
$23$	−26.7281	−	22.4275i	−1.16209	−	0.975109i	−0.162158	−	0.986765i	$-0.551845\pi$
$23$	−26.7281	−	22.4275i	−1.16209	−	0.975109i	−0.999932	+	0.0116555i	$0.996290\pi$
$24$	1.62825	−	1.53701i	0.0678436	−	0.0640423i
$25$	10.6028	−	22.6402i	0.424113	−	0.905609i
$26$		−	0.581016i		−	0.0223468i
$27$	17.3722	+	20.6689i	0.643416	+	0.765516i
$28$		−	23.3362i		−	0.833434i
$29$	−11.4846	+	31.5538i	−0.396022	+	1.08806i	0.568183	+	0.822902i	$0.307646\pi$
$29$	−11.4846	+	31.5538i	−0.396022	+	1.08806i	−0.964205	+	0.265158i	$0.914576\pi$
$30$	−0.609784	−	1.26130i	−0.0203261	−	0.0420434i
$31$	−31.5036	−	26.4347i	−1.01625	−	0.852732i	−0.0270954	−	0.999633i	$-0.508626\pi$
$31$	−31.5036	−	26.4347i	−1.01625	−	0.852732i	−0.989151	+	0.146901i	$0.953070\pi$
$32$	0.776220	−	4.40216i	0.0242569	−	0.137568i
$33$	8.53649	+	19.7749i	0.258682	+	0.599240i
$34$	1.16460	−	0.977218i	0.0342530	−	0.0287417i
$35$	−27.8736	−	8.81382i	−0.796390	−	0.251823i
$36$	34.9578	+	8.26493i	0.971049	+	0.229581i
$37$	−14.6590	−	8.46337i	−0.396189	−	0.228740i	0.288649	−	0.957435i	$-0.406794\pi$
$37$	−14.6590	−	8.46337i	−0.396189	−	0.228740i	−0.684838	+	0.728695i	$0.740127\pi$
$38$	0.489648	+	2.77693i	0.0128855	+	0.0730772i
$39$	15.5896	−	10.2595i	0.399732	−	0.263065i
$40$	−3.30876	−	1.72590i	−0.0827191	−	0.0431476i
$41$	2.16249	+	5.94140i	0.0527438	+	0.144912i	0.963267	−	0.268546i	$-0.0865431\pi$
$41$	2.16249	+	5.94140i	0.0527438	+	0.144912i	−0.910523	+	0.413458i	$0.864321\pi$
$42$	−1.36848	+	0.900599i	−0.0325828	+	0.0214428i
$43$	52.3434	−	9.22956i	1.21729	−	0.214641i	0.472131	−	0.881528i	$-0.343485\pi$
$43$	52.3434	−	9.22956i	1.21729	−	0.214641i	0.745158	+	0.666887i	$0.232374\pi$
$44$	24.8166	+	14.3279i	0.564014	+	0.325634i
$45$	23.0751	−	38.6334i	0.512781	−	0.858520i
$46$	1.62938	+	2.82216i	0.0354212	+	0.0613513i
$47$	−22.2454	+	18.6661i	−0.473306	+	0.397151i	−0.847999	−	0.529998i	$-0.822193\pi$
$47$	−22.2454	+	18.6661i	−0.473306	+	0.397151i	0.374693	+	0.927149i	$0.377748\pi$
$48$	43.7811	−	18.8995i	0.912105	−	0.393740i
$49$	2.57261	−	14.5900i	0.0525022	−	0.297755i
$50$	−1.65378	+	1.64833i	−0.0330756	+	0.0329666i
$51$	46.7847	+	13.9925i	0.917347	+	0.274362i
$52$	8.49208	−	23.3318i	0.163309	−	0.448689i
$53$	−40.9156			−0.771993			−0.385996	−	0.922500i	$-0.626142\pi$
$53$	−40.9156			−0.771993			−0.385996	+	0.922500i	$0.626142\pi$
$54$	−0.864433	−	2.36896i	−0.0160080	−	0.0438696i
$55$	26.4868	−	24.2305i	0.481578	−	0.440554i
$56$	−1.49253	+	4.10069i	−0.0266523	+	0.0732266i
$57$	−65.8632	+	62.1728i	−1.15550	+	1.09075i
$58$	2.01591	−	2.40246i	0.0347570	−	0.0414218i
$59$	75.0767	+	13.2381i	1.27249	+	0.224374i	0.768787	−	0.639505i	$-0.220861\pi$
$59$	75.0767	+	13.2381i	1.27249	+	0.224374i	0.503700	+	0.863879i	$0.331972\pi$
$60$	−6.05197	−	59.5625i	−0.100866	−	0.992708i
$61$	−1.28643	+	1.07944i	−0.0210889	+	0.0176957i	−0.653271	−	0.757124i	$-0.726604\pi$
$61$	−1.28643	+	1.07944i	−0.0210889	+	0.0176957i	0.632182	+	0.774820i	$0.282159\pi$
$62$	1.92050	+	3.32640i	0.0309758	+	0.0536517i
$63$	−48.3289	−	20.8157i	−0.767126	−	0.330408i
$64$	31.5820	−	54.7017i	0.493469	−	0.854714i
$65$	−24.6611	−	18.9555i	−0.379401	−	0.291622i
$66$	−0.117518	−	2.00824i	−0.00178058	−	0.0304279i
$67$	40.8340	+	112.190i	0.609462	+	1.67448i	0.731402	+	0.681947i	$0.238866\pi$
$67$	40.8340	+	112.190i	0.609462	+	1.67448i	−0.121939	+	0.992538i	$0.538911\pi$
$68$	61.0498	−	22.2203i	0.897791	−	0.326769i
$69$	−46.9516	+	93.5521i	−0.680458	+	1.35583i
$70$	2.16479	+	1.66394i	0.0309256	+	0.0237706i
$71$	−109.344	−	63.1295i	−1.54005	−	0.889148i	−0.998835	−	0.0482643i	$-0.984631\pi$
$71$	−109.344	−	63.1295i	−1.54005	−	0.889148i	−0.541215	−	0.840884i	$-0.682036\pi$
$72$	−5.61426	−	3.68816i	−0.0779758	−	0.0512244i
$73$	−37.7202	+	21.7778i	−0.516715	+	0.298326i	−0.735590	−	0.677427i	$-0.763095\pi$
$73$	−37.7202	+	21.7778i	−0.516715	+	0.298326i	0.218874	+	0.975753i	$0.429762\pi$
$74$	1.01620	+	1.21106i	0.0137324	+	0.0163656i
$75$	−73.4296	−	15.2674i	−0.979061	−	0.203565i
$76$	−20.9247	+	118.670i	−0.275324	+	1.56144i
$77$	−32.1567	−	26.9827i	−0.417620	−	0.350424i
$78$	−1.69595	+	0.402439i	−0.0217430	+	0.00515947i
$79$	−11.3837	−	4.14333i	−0.144097	−	0.0524472i	0.268965	−	0.963150i	$-0.413319\pi$
$79$	−11.3837	−	4.14333i	−0.144097	−	0.0524472i	−0.413062	+	0.910703i	$0.635541\pi$
$80$	−53.6455	−	58.6409i	−0.670569	−	0.733011i
$81$	48.2987	−	65.0249i	0.596280	−	0.802777i
$82$		−	0.590528i		−	0.00720156i
$83$	79.9886	+	29.1135i	0.963718	+	0.350764i	0.775489	−	0.631361i	$-0.217503\pi$
$83$	79.9886	+	29.1135i	0.963718	+	0.350764i	0.188228	+	0.982125i	$0.439726\pi$
$84$	−68.1170	+	16.1637i	−0.810916	+	0.192425i
$85$	−3.48297	−	81.3127i	−0.0409762	−	0.956620i
$86$	−4.88877	−	0.862022i	−0.0568462	−	0.0100235i
$87$	100.058	+	11.6674i	1.15010	+	0.134108i
$88$	−3.44446	−	4.10495i	−0.0391416	−	0.0466471i
$89$	13.1298	−	7.58047i	0.147525	−	0.0851739i	−0.424420	−	0.905465i	$-0.639522\pi$
$89$	13.1298	−	7.58047i	0.147525	−	0.0851739i	0.571946	+	0.820291i	$0.306189\pi$
$90$	−3.25930	+	2.65356i	−0.0362145	+	0.0294840i
$91$	−18.1860	+	31.4991i	−0.199847	+	0.346144i
$92$	24.1822	+	137.144i	0.262850	+	1.49070i
$93$	−55.3405	+	110.267i	−0.595060	+	1.18567i
$94$	2.54864	−	0.927630i	0.0271132	−	0.00986840i
$95$	133.841	+	69.8135i	1.40885	+	0.734879i
$96$	−13.3873	+	0.783399i	−0.139451	+	0.00816041i
$97$	−103.416	+	18.2349i	−1.06614	+	0.187989i	−0.679079	−	0.734065i	$-0.737621\pi$
$97$	−103.416	+	18.2349i	−1.06614	+	0.187989i	−0.387060	+	0.922054i	$0.626510\pi$
$98$	−0.691848	+	1.19832i	−0.00705967	+	0.0122277i
$99$	51.8092	−	38.6146i	0.523325	−	0.390046i
$100$	−90.5026	+	42.0204i	−0.905026	+	0.420204i
$101$	−72.4280	−	86.3164i	−0.717109	−	0.854618i	0.277237	−	0.960802i	$-0.410581\pi$
$101$	−72.4280	−	86.3164i	−0.717109	−	0.854618i	−0.994347	+	0.106184i	$0.966137\pi$
$102$	−3.65910	−	2.72255i	−0.0358736	−	0.0266916i
$103$	−93.7802	−	16.5360i	−0.910487	−	0.160544i	−0.301263	−	0.953541i	$-0.597408\pi$
$103$	−93.7802	−	16.5360i	−0.910487	−	0.160544i	−0.609225	+	0.792998i	$0.708519\pi$
$104$	−2.98450	+	3.55679i	−0.0286971	+	0.0341999i
$105$	−6.42047	+	87.4665i	−0.0611473	+	0.833014i
$106$	3.59097	+	1.30701i	0.0338771	+	0.0123303i
$107$	4.49396			0.0419997			0.0209998	−	0.999779i	$-0.493315\pi$
$107$	4.49396			0.0419997			0.0209998	+	0.999779i	$0.493315\pi$
$108$	−0.0884901	−	107.764i	−0.000819353	−	0.997819i
$109$	33.4380			0.306771			0.153385	−	0.988166i	$-0.450982\pi$
$109$	33.4380			0.306771			0.153385	+	0.988166i	$0.450982\pi$
$110$	−3.09864	+	1.28050i	−0.0281695	+	0.0116410i
$111$	−14.5506	+	48.6509i	−0.131087	+	0.438296i
$112$	−59.7388	+	71.1939i	−0.533382	+	0.635660i
$113$	5.32757	−	30.2142i	0.0471466	−	0.267382i	−0.952118	−	0.305732i	$-0.901099\pi$
$113$	5.32757	−	30.2142i	0.0471466	−	0.267382i	0.999264	+	0.0383497i	$0.0122101\pi$
$114$	7.76656	−	3.35269i	0.0681277	−	0.0294095i
$115$	172.944	+	22.9137i	1.50386	+	0.199249i
$116$	116.067	−	67.0111i	1.00058	−	0.577682i
$117$	−40.7451	−	38.3988i	−0.348248	−	0.328195i
$118$	−6.16626	−	3.56009i	−0.0522564	−	0.0301703i
$119$	−93.7250	+	16.5262i	−0.787605	+	0.138876i
$120$	−2.74602	+	10.8535i	−0.0228835	+	0.0904462i
$121$	−65.2648	+	23.7544i	−0.539379	+	0.196318i
$122$	0.147385	−	0.0536438i	0.00120808	−	0.000439704i
$123$	15.8448	−	10.4275i	0.128819	−	0.0847764i
$124$	28.5029	+	161.648i	0.229862	+	1.30361i
$125$	16.0090	+	123.971i	0.128072	+	0.991765i
$126$	3.57667	+	3.37072i	0.0283863	+	0.0267517i
$127$	99.3955	−	57.3860i	0.782642	−	0.451858i	−0.0547239	−	0.998502i	$-0.517428\pi$
$127$	99.3955	−	57.3860i	0.782642	−	0.451858i	0.837366	+	0.546643i	$0.184095\pi$
$128$	−18.2163	+	15.2853i	−0.142315	+	0.119416i
$129$	−63.1961	−	146.395i	−0.489892	−	1.13484i
$130$	1.55888	+	2.45141i	0.0119914	+	0.0188570i
$131$	58.6008	−	69.8377i	0.447335	−	0.533113i	−0.494505	−	0.869175i	$-0.664651\pi$
$131$	58.6008	−	69.8377i	0.447335	−	0.533113i	0.941840	+	0.336062i	$0.109095\pi$
$132$	24.6332	−	82.3625i	0.186615	−	0.623958i
$133$	60.3734	−	165.875i	0.453935	−	1.24718i
$134$		−	11.1508i		−	0.0832152i
$135$	−128.752	−	40.5958i	−0.953716	−	0.300710i
$136$	−12.1490			−0.0893308
$137$	67.4611	+	24.5538i	0.492417	+	0.179225i	0.576280	−	0.817252i	$-0.304504\pi$
$137$	67.4611	+	24.5538i	0.492417	+	0.179225i	−0.0838634	+	0.996477i	$0.526726\pi$
$138$	7.10915	−	6.71082i	0.0515156	−	0.0486291i
$139$	16.5842	+	13.9158i	0.119311	+	0.100114i	0.700491	−	0.713661i	$-0.252964\pi$
$139$	16.5842	+	13.9158i	0.119311	+	0.100114i	−0.581180	+	0.813775i	$0.697409\pi$
$140$	62.6113	+	98.4593i	0.447224	+	0.703280i
$141$	69.8934	+	52.0040i	0.495698	+	0.368823i
$142$	7.57997	+	9.03346i	0.0533801	+	0.0636159i
$143$	−22.3317	−	38.6796i	−0.156165	−	0.270486i
$144$	−85.4915	−	114.704i	−0.593691	−	0.796554i
$145$	−36.2037	−	163.944i	−0.249680	−	1.13065i
$146$	4.00620	−	0.706401i	0.0274397	−	0.00483836i
$147$	−44.3693	+	2.59640i	−0.301832	+	0.0176626i
$148$	23.1066	+	63.4850i	0.156126	+	0.428953i
$149$	−24.6753	−	67.7949i	−0.165606	−	0.454999i	0.828935	−	0.559345i	$-0.188947\pi$
$149$	−24.6753	−	67.7949i	−0.165606	−	0.454999i	−0.994541	+	0.104346i	$0.966725\pi$
$150$	5.95688	+	3.68558i	0.0397125	+	0.0245706i
$151$	49.0286	+	278.055i	0.324692	+	1.84142i	0.511828	+	0.859088i	$0.328969\pi$
$151$	49.0286	+	278.055i	0.324692	+	1.84142i	−0.187136	+	0.982334i	$0.559920\pi$
$152$	11.2668	−	19.5146i	0.0741236	−	0.128386i
$153$	8.43799	−	146.254i	0.0551502	−	0.955908i
$154$	1.96031	+	3.39536i	0.0127293	+	0.0220478i
$155$	203.844	+	27.0077i	1.31512	+	0.174243i
$156$	−73.9863	−	8.62723i	−0.474271	−	0.0553027i
$157$	75.7276	+	13.3528i	0.482341	+	0.0850498i	0.409531	−	0.912296i	$-0.365692\pi$
$157$	75.7276	+	13.3528i	0.482341	+	0.0850498i	0.0728100	+	0.997346i	$0.476803\pi$
$158$	0.866740	+	0.727281i	0.00548570	+	0.00460305i
$159$	28.3401	+	119.430i	0.178239	+	0.751135i
$160$	8.53608	+	20.6561i	0.0533505	+	0.129101i
$161$		−	204.000i		−	1.26708i
$162$	−6.31611	+	4.16408i	−0.0389883	+	0.0257042i
$163$			186.228i			1.14250i	0.820775	+	0.571252i	$0.193542\pi$
$163$			186.228i			1.14250i	−0.820775	+	0.571252i	$0.806458\pi$
$164$	8.63111	−	23.7138i	0.0526287	−	0.144596i
$165$	−89.0734	−	60.5303i	−0.539839	−	0.366850i
$166$	−6.09023	−	5.11031i	−0.0366881	−	0.0307850i
$167$	54.9800	−	311.807i	0.329222	−	1.86711i	−0.148954	−	0.988844i	$-0.547591\pi$
$167$	54.9800	−	311.807i	0.329222	−	1.86711i	0.478175	−	0.878264i	$-0.341298\pi$
$168$	13.0035	+	1.51628i	0.0774017	+	0.00902548i
$169$	99.8163	−	83.7558i	0.590629	−	0.495596i
$170$	−2.29177	+	7.24770i	−0.0134810	+	0.0426335i
$171$	227.099	+	149.187i	1.32806	+	0.872441i
$172$	−183.719	−	106.070i	−1.06813	−	0.616686i
$173$	19.4117	+	110.089i	0.112206	+	0.636353i	0.988096	+	0.153841i	$0.0491643\pi$
$173$	19.4117	+	110.089i	0.112206	+	0.636353i	−0.875889	+	0.482512i	$0.839725\pi$
$174$	−8.40897	−	4.22026i	−0.0483274	−	0.0242544i
$175$	141.251	−	37.5985i	0.807151	−	0.214848i
$176$	−39.0322	−	107.240i	−0.221774	−	0.609319i
$177$	−13.3605	−	228.314i	−0.0754830	−	1.28991i
$178$	−1.39449	+	0.245886i	−0.00783421	+	0.00138138i
$179$	−108.653	−	62.7306i	−0.606998	−	0.350451i	0.164792	−	0.986328i	$-0.447305\pi$
$179$	−108.653	−	62.7306i	−0.606998	−	0.350451i	−0.771790	+	0.635878i	$0.780638\pi$
$180$	−169.668	+	58.9211i	−0.942599	+	0.327339i
$181$	28.9747	+	50.1856i	0.160081	+	0.277268i	0.934898	−	0.354918i	$-0.115491\pi$
$181$	28.9747	+	50.1856i	0.160081	+	0.277268i	−0.774817	+	0.632186i	$0.782158\pi$
$182$	2.60231	−	2.18360i	0.0142984	−	0.0119978i
$183$	4.04186	+	3.00734i	0.0220867	+	0.0164335i
$184$	4.52207	−	25.6459i	0.0245765	−	0.139380i
$185$	84.5562	−	3.62190i	0.457060	−	0.0195779i
$186$	8.37936	−	7.90986i	0.0450503	−	0.0425261i
$187$	39.9704	−	109.818i	0.213745	−	0.587261i
$188$	115.904			0.616509
$189$	−27.2850	+	155.487i	−0.144365	+	0.822685i
$190$	−9.51647	−	10.4026i	−0.0500867	−	0.0547506i
$191$	−51.3535	+	141.093i	−0.268867	+	0.738705i	0.729628	+	0.683845i	$0.239693\pi$
$191$	−51.3535	+	141.093i	−0.268867	+	0.738705i	−0.998494	+	0.0548599i	$0.982529\pi$
$192$	−181.546	−	54.2973i	−0.945555	−	0.282798i
$193$	−113.251	+	134.967i	−0.586790	+	0.699310i	−0.974986	−	0.222268i	$-0.928654\pi$
$193$	−113.251	+	134.967i	−0.586790	+	0.699310i	0.388195	+	0.921577i	$0.373099\pi$
$194$	9.65880	+	1.70311i	0.0497876	+	0.00877890i
$195$	−38.2485	+	85.1138i	−0.196146	+	0.436481i
$196$	−45.2970	+	38.0087i	−0.231107	+	0.193922i
$197$	40.6710	+	70.4442i	0.206452	+	0.357585i	0.950594	−	0.310436i	$-0.100475\pi$
$197$	40.6710	+	70.4442i	0.206452	+	0.357585i	−0.744143	+	0.668021i	$0.767142\pi$
$198$	−5.78056	+	1.73403i	−0.0291947	+	0.00875775i
$199$	14.3655	−	24.8817i	0.0721884	−	0.125034i	−0.827672	−	0.561212i	$-0.810335\pi$
$199$	14.3655	−	24.8817i	0.0721884	−	0.125034i	0.899860	+	0.436179i	$0.143668\pi$
$200$	18.5909	−	1.59558i	0.0929544	−	0.00797791i
$201$	299.194	−	196.900i	1.48853	−	0.979604i
$202$	3.59939	+	9.88923i	0.0178187	+	0.0489566i
$203$	−184.488	+	67.1482i	−0.908809	+	0.330779i
$204$	−107.146	−	162.810i	−0.525224	−	0.798089i
$205$	−25.0648	−	19.2658i	−0.122267	−	0.0939795i
$206$	7.70243	+	4.44700i	0.0373904	+	0.0215874i
$207$	305.594	+	72.2505i	1.47630	+	0.349036i
$208$	−85.6353	+	49.4415i	−0.411708	+	0.237700i
$209$	139.330	+	166.047i	0.666650	+	0.794482i
$210$	3.35752	−	7.47144i	0.0159882	−	0.0355783i
$211$	6.54746	−	37.1325i	0.0310306	−	0.175983i	−0.965354	−	0.260945i	$-0.915966\pi$
$211$	6.54746	−	37.1325i	0.0310306	−	0.175983i	0.996384	+	0.0849620i	$0.0270769\pi$
$212$	125.099	+	104.971i	0.590091	+	0.495145i
$213$	−108.535	+	362.894i	−0.509555	+	1.70373i
$214$	−0.394414	−	0.143555i	−0.00184306	−	0.000670818i
$215$	−196.083	+	179.379i	−0.912014	+	0.834323i
$216$	−6.87683	+	18.9423i	−0.0318372	+	0.0876959i
$217$		−	240.450i		−	1.10806i
$218$	−2.93470	−	1.06814i	−0.0134619	−	0.00489974i
$219$	89.6949	+	95.0190i	0.409566	+	0.433877i
$220$	−143.148	+	6.13163i	−0.650671	+	0.0278710i
$221$	−99.7214	−	17.5836i	−0.451228	−	0.0795637i
$222$	2.83114	−	3.80506i	0.0127529	−	0.0171399i
$223$	164.672	+	196.248i	0.738439	+	0.880038i	0.996282	−	0.0861491i	$-0.0274561\pi$
$223$	164.672	+	196.248i	0.738439	+	0.880038i	−0.257843	+	0.966187i	$0.583012\pi$
$224$	22.6341	−	13.0678i	0.101045	−	0.0583384i
$225$	6.29604	+	224.912i	0.0279824	+	0.999608i
$226$	−1.43274	+	2.48157i	−0.00633954	+	0.0109804i
$227$	−47.7296	−	270.688i	−0.210262	−	1.19246i	−0.888941	−	0.458022i	$-0.848558\pi$
$227$	−47.7296	−	270.688i	−0.210262	−	1.19246i	0.678679	−	0.734435i	$-0.262553\pi$
$228$	360.884	−	21.1182i	1.58282	−	0.0926236i
$229$	−171.120	+	62.2826i	−0.747249	+	0.271976i	−0.687448	−	0.726234i	$-0.741269\pi$
$229$	−171.120	+	62.2826i	−0.747249	+	0.271976i	−0.0598014	+	0.998210i	$0.519047\pi$
$230$	−14.4465	−	7.53554i	−0.0628110	−	0.0327632i
$231$	−56.4877	+	112.553i	−0.244536	+	0.487243i
$232$	−24.6814	+	4.35200i	−0.106385	+	0.0187586i
$233$	19.5388	−	33.8422i	0.0838575	−	0.145245i	−0.821046	−	0.570862i	$-0.806609\pi$
$233$	19.5388	−	33.8422i	0.0838575	−	0.145245i	0.904904	+	0.425616i	$0.139943\pi$
$234$	2.34939	+	4.67165i	0.0100401	+	0.0199643i
$235$	43.7756	−	138.440i	0.186279	−	0.589107i
$236$	−195.584	−	233.088i	−0.828745	−	0.987660i
$237$	−4.20926	+	36.0982i	−0.0177606	+	0.152313i
$238$	8.75372	+	1.54352i	0.0367803	+	0.00648537i
$239$	−54.3851	+	64.8137i	−0.227553	+	0.271187i	−0.867725	−	0.497045i	$-0.834419\pi$
$239$	−54.3851	+	64.8137i	−0.227553	+	0.271187i	0.640172	+	0.768231i	$0.278863\pi$
$240$	−134.012	+	197.206i	−0.558384	+	0.821690i
$241$	−344.808	−	125.500i	−1.43074	−	0.520747i	−0.493597	−	0.869691i	$-0.664318\pi$
$241$	−344.808	−	125.500i	−1.43074	−	0.520747i	−0.937144	+	0.348944i	$0.886540\pi$
$242$	6.48680			0.0268050
$243$	−223.258	−	95.9419i	−0.918757	−	0.394823i
$244$	6.70259			0.0274696
$245$	28.2909	+	68.4600i	0.115473	+	0.279428i
$246$	−1.72372	+	0.409027i	−0.00700699	+	0.00166271i
$247$	120.724	−	143.874i	0.488762	−	0.582484i
$248$	5.33004	−	30.2282i	0.0214921	−	0.121888i
$249$	29.5768	−	253.648i	0.118782	−	1.01866i
$250$	2.55508	−	11.3917i	0.0102203	−	0.0455669i
$251$	−353.770	+	204.249i	−1.40944	+	0.813742i	−0.995334	−	0.0964857i	$-0.969240\pi$
$251$	−353.770	+	204.249i	−1.40944	+	0.813742i	−0.414108	+	0.910228i	$0.635906\pi$
$252$	94.3620	+	187.634i	0.374452	+	0.744579i
$253$	216.942	+	125.252i	0.857480	+	0.495066i
$254$	−10.5566	+	1.86142i	−0.0415615	+	0.00732841i
$255$	−234.935	+	66.4876i	−0.921313	+	0.260736i
$256$	−235.332	+	85.6540i	−0.919267	+	0.334586i
$257$	−254.848	+	92.7569i	−0.991625	+	0.360922i	−0.786349	−	0.617782i	$-0.788031\pi$
$257$	−254.848	+	92.7569i	−0.991625	+	0.360922i	−0.205276	+	0.978704i	$0.565809\pi$
$258$	0.869995	+	14.8671i	0.00337207	+	0.0576245i
$259$	−17.1855	−	97.4635i	−0.0663531	−	0.376307i
$260$	26.7701	+	121.225i	0.102962	+	0.466251i
$261$	−35.2487	−	300.147i	−0.135052	−	1.14999i
$262$	−7.37402	+	4.25739i	−0.0281451	+	0.0162496i
$263$	−231.996	+	194.668i	−0.882113	+	0.740181i	−0.966613	−	0.256242i	$-0.917515\pi$
$263$	−231.996	+	194.668i	−0.882113	+	0.740181i	0.0844991	+	0.996424i	$0.473071\pi$
$264$	−9.59633	+	12.8975i	−0.0363497	+	0.0488541i
$265$	172.630	−	109.777i	0.651434	−	0.414254i
$266$	−10.5974	+	12.6295i	−0.0398398	+	0.0474792i
$267$	−31.2213	−	33.0745i	−0.116934	−	0.123874i
$268$	162.980	−	447.783i	0.608133	−	1.67083i
$269$			223.827i			0.832070i	0.909349	+	0.416035i	$0.136581\pi$
$269$			223.827i			0.832070i	−0.909349	+	0.416035i	$0.863419\pi$
$270$	10.0031	+	7.67575i	0.0370487	+	0.0284287i
$271$	−162.203			−0.598536			−0.299268	−	0.954169i	$-0.596743\pi$
$271$	−162.203			−0.598536			−0.299268	+	0.954169i	$0.596743\pi$
$272$	−243.133	−	88.4931i	−0.893871	−	0.325342i
$273$	104.541	+	31.2663i	0.382933	+	0.114528i
$274$	−5.13640	−	4.30995i	−0.0187460	−	0.0157298i
$275$	−46.7415	+	173.297i	−0.169969	+	0.630171i
$276$	383.566	−	165.579i	1.38973	−	0.599923i
$277$	81.8544	+	97.5503i	0.295503	+	0.352167i	0.893284	−	0.449492i	$-0.148395\pi$
$277$	81.8544	+	97.5503i	0.295503	+	0.352167i	−0.597781	+	0.801660i	$0.703951\pi$
$278$	−1.01100	−	1.75109i	−0.00363667	−	0.00629890i
$279$	360.196	+	85.1597i	1.29102	+	0.305232i
$280$	−4.70499	−	21.3060i	−0.0168035	−	0.0760928i
$281$	308.126	−	54.3309i	1.09653	−	0.193348i	0.404018	−	0.914751i	$-0.367613\pi$
$281$	308.126	−	54.3309i	1.09653	−	0.193348i	0.692516	+	0.721403i	$0.256502\pi$
$282$	−4.47301	−	6.79683i	−0.0158617	−	0.0241022i
$283$	−134.399	−	369.258i	−0.474908	−	1.30480i	−0.913765	−	0.406242i	$-0.866839\pi$
$283$	−134.399	−	369.258i	−0.474908	−	1.30480i	0.438857	−	0.898557i	$-0.355383\pi$
$284$	172.356	+	473.544i	0.606887	+	1.66741i
$285$	111.077	−	439.030i	0.389746	−	1.54046i
$286$	0.724367	+	4.10809i	0.00253275	+	0.0143639i
$287$	−18.4838	+	32.0148i	−0.0644034	+	0.111550i
$288$	11.5594	+	38.5342i	0.0401367	+	0.133799i
$289$	12.0223	+	20.8232i	0.0415995	+	0.0720525i
$290$	−2.05960	+	15.5451i	−0.00710208	+	0.0536038i
$291$	124.857	+	289.234i	0.429063	+	0.993931i
$292$	171.201	+	30.1874i	0.586306	+	0.103382i
$293$	−367.008	−	307.956i	−1.25259	−	1.05104i	−0.996431	−	0.0844083i	$-0.973100\pi$
$293$	−367.008	−	307.956i	−1.25259	−	1.05104i	−0.256154	−	0.966636i	$-0.582456\pi$
$294$	3.97702	+	1.18946i	0.0135273	+	0.00404577i
$295$	−352.280	+	145.579i	−1.19417	+	0.493487i
$296$		−	12.6336i		−	0.0426811i
$297$	−148.599	−	124.482i	−0.500335	−	0.419131i
$298$			6.73827i			0.0226117i
$299$	74.2362	−	203.962i	0.248282	−	0.682148i
$300$	185.341	+	235.067i	0.617805	+	0.783556i
$301$	238.058	+	199.754i	0.790889	+	0.663635i
$302$	4.57917	−	25.9697i	0.0151628	−	0.0859925i
$303$	−201.786	+	271.200i	−0.665960	+	0.895050i
$304$	367.622	−	308.472i	1.20928	−	1.01471i
$305$	2.53150	−	8.00584i	0.00829999	−	0.0262487i
$306$	−5.41249	+	12.5665i	−0.0176879	+	0.0410669i
$307$	364.322	+	210.342i	1.18672	+	0.685152i	0.957559	−	0.288237i	$-0.0930691\pi$
$307$	364.322	+	210.342i	1.18672	+	0.685152i	0.229159	+	0.973389i	$0.426402\pi$
$308$	29.0938	+	164.999i	0.0944602	+	0.535711i
$309$	16.6889	+	285.193i	0.0540095	+	0.922954i
$310$	−17.0277	−	8.88193i	−0.0549281	−	0.0286514i
$311$	−51.2407	−	140.783i	−0.164761	−	0.452677i	0.829646	−	0.558289i	$-0.188542\pi$
$311$	−51.2407	−	140.783i	−0.164761	−	0.452677i	−0.994407	+	0.105612i	$0.966320\pi$
$312$	12.4493	+	6.24800i	0.0399015	+	0.0200256i
$313$	−422.195	+	74.4443i	−1.34886	+	0.237841i	−0.800969	−	0.598705i	$-0.795682\pi$
$313$	−422.195	+	74.4443i	−1.34886	+	0.237841i	−0.547896	+	0.836547i	$0.684571\pi$
$314$	−6.21972	−	3.59096i	−0.0198080	−	0.0114362i
$315$	259.757	−	41.8424i	0.824626	−	0.132833i
$316$	24.1757	+	41.8736i	0.0765054	+	0.132511i
$317$	158.396	−	132.910i	0.499672	−	0.419274i	−0.357806	−	0.933796i	$-0.616475\pi$
$317$	158.396	−	132.910i	0.499672	−	0.419274i	0.857477	+	0.514522i	$0.172031\pi$
$318$	1.32781	−	11.3872i	0.00417550	−	0.0358087i
$319$	41.8635	−	237.420i	0.131234	−	0.744263i
$320$	13.5156	+	315.531i	0.0422361	+	0.986035i
$321$	−3.11273	−	13.1176i	−0.00969697	−	0.0408649i
$322$	−6.51659	+	17.9042i	−0.0202378	+	0.0556030i
$323$	491.431			1.52146
$324$	−314.497	+	74.9010i	−0.970670	+	0.231176i
$325$	154.907	+	13.8102i	0.476637	+	0.0424931i
$326$	5.94887	−	16.3444i	0.0182481	−	0.0501362i
$327$	−23.1607	−	97.6037i	−0.0708279	−	0.298482i
$328$	−3.03336	+	3.61502i	−0.00924806	+	0.0110214i
$329$	−167.207	−	29.4831i	−0.508228	−	0.0896143i
$330$	5.88399	+	8.15783i	0.0178303	+	0.0247207i
$331$	244.131	−	204.850i	0.737556	−	0.618883i	−0.194624	−	0.980878i	$-0.562349\pi$
$331$	244.131	−	204.850i	0.737556	−	0.618883i	0.932180	+	0.361995i	$0.117904\pi$
$332$	−169.873	−	294.228i	−0.511665	−	0.886230i
$333$	152.088	+	8.77457i	0.456720	+	0.0263500i
$334$	−14.7857	+	25.6096i	−0.0442686	+	0.0766754i
$335$	−473.295	−	363.793i	−1.41282	−	1.08595i
$336$	249.189	+	125.062i	0.741634	+	0.372208i
$337$	−135.635	−	372.653i	−0.402476	−	1.10579i	−0.961058	−	0.276345i	$-0.910877\pi$
$337$	−135.635	−	372.653i	−0.402476	−	1.10579i	0.558582	−	0.829449i	$-0.311346\pi$
$338$	−11.4359	+	4.16233i	−0.0338340	+	0.0123146i
$339$	−91.8836	+	5.37684i	−0.271043	+	0.0158609i
$340$	−197.962	+	257.549i	−0.582241	+	0.757497i
$341$	255.704	+	147.631i	0.749865	+	0.432935i
$342$	−15.1658	−	20.3479i	−0.0443444	−	0.0594969i
$343$	323.125	−	186.557i	0.942057	−	0.543897i
$344$	25.4995	+	30.3891i	0.0741265	+	0.0883405i
$345$	−52.9052	−	520.684i	−0.153348	−	1.50923i
$346$	1.81301	−	10.2821i	0.00523991	−	0.0297170i
$347$	382.337	+	320.819i	1.10184	+	0.924550i	0.997547	−	0.0699973i	$-0.0222991\pi$
$347$	382.337	+	320.819i	1.10184	+	0.924550i	0.104288	+	0.994547i	$0.466744\pi$
$348$	−275.995	−	292.377i	−0.793089	−	0.840165i
$349$	−622.286	−	226.494i	−1.78305	−	0.648979i	−0.999622	−	0.0275013i	$-0.991245\pi$
$349$	−622.286	−	226.494i	−1.78305	−	0.648979i	−0.783432	−	0.621477i	$-0.786533\pi$
$350$	−13.5980	−	1.21229i	−0.0388515	−	0.00346368i
$351$	−83.8622	+	145.529i	−0.238924	+	0.414614i
$352$			32.0933i			0.0911743i
$353$	−100.883	−	36.7184i	−0.285788	−	0.104018i	0.195149	−	0.980774i	$-0.437481\pi$
$353$	−100.883	−	36.7184i	−0.285788	−	0.104018i	−0.480936	+	0.876755i	$0.659703\pi$
$354$	−6.12067	+	20.4649i	−0.0172900	+	0.0578103i
$355$	630.717	−	27.0163i	1.77667	−	0.0761023i
$356$	−59.5922	−	10.5077i	−0.167394	−	0.0295161i
$357$	113.157	+	262.131i	0.316968	+	0.734261i
$358$	7.53208	+	8.97638i	0.0210393	+	0.0250737i
$359$	318.308	−	183.775i	0.886653	−	0.511909i	0.0138068	−	0.999905i	$-0.495605\pi$
$359$	318.308	−	183.775i	0.886653	−	0.511909i	0.872846	+	0.487995i	$0.162272\pi$
$360$	33.5829	+	0.497805i	0.0932859	+	0.00138279i
$361$	−275.246	+	476.740i	−0.762454	+	1.32061i
$362$	−0.939845	−	5.33012i	−0.00259626	−	0.0147241i
$363$	114.543	+	174.051i	0.315546	+	0.479479i
$364$	136.416	−	49.6514i	0.374770	−	0.136405i
$365$	100.718	−	193.088i	0.275940	−	0.529009i
$366$	−0.258669	−	0.393053i	−0.000706747	−	0.00107392i
$367$	−574.400	+	101.282i	−1.56512	+	0.275973i	−0.887981	−	0.459880i	$-0.847892\pi$
$367$	−574.400	+	101.282i	−1.56512	+	0.275973i	−0.677141	+	0.735853i	$0.736781\pi$
$368$	277.303	−	480.303i	0.753542	−	1.30517i
$369$	−41.4121	−	39.0275i	−0.112228	−	0.105766i
$370$	−7.53680	−	2.38318i	−0.0203697	−	0.00644104i
$371$	−153.771	−	183.257i	−0.414477	−	0.493954i
$372$	452.099	−	195.163i	1.21532	−	0.524632i
$373$	−507.893	−	89.5553i	−1.36164	−	0.240095i	−0.555354	−	0.831614i	$-0.687417\pi$
$373$	−507.893	−	89.5553i	−1.36164	−	0.240095i	−0.806291	+	0.591520i	$0.798528\pi$
$374$	−7.01603	+	8.36138i	−0.0187594	+	0.0223566i
$375$	350.775	−	132.597i	0.935400	−	0.353592i
$376$	−20.3669	−	7.41295i	−0.0541673	−	0.0197153i
$377$	−208.889			−0.554083
$378$	7.36157	−	12.7748i	0.0194751	−	0.0337958i
$379$	−34.9835			−0.0923048			−0.0461524	−	0.998934i	$-0.514696\pi$
$379$	−34.9835			−0.0923048			−0.0461524	+	0.998934i	$0.514696\pi$
$380$	−230.108	−	556.829i	−0.605547	−	1.46534i
$381$	−236.353	−	250.382i	−0.620348	−	0.657170i
$382$	9.01412	−	10.7426i	0.0235972	−	0.0281220i
$383$	3.27573	−	18.5776i	0.00855283	−	0.0485055i	−0.980233	−	0.197848i	$-0.936605\pi$
$383$	3.27573	−	18.5776i	0.00855283	−	0.0485055i	0.988785	+	0.149343i	$0.0477158\pi$
$384$	57.2344	+	42.5851i	0.149048	+	0.110899i
$385$	208.070	+	27.5676i	0.540441	+	0.0716041i
$386$	14.2509	−	8.22773i	0.0369193	−	0.0213154i
$387$	−383.546	+	285.866i	−0.991075	+	0.738671i
$388$	362.975	+	209.564i	0.935503	+	0.540113i
$389$	456.806	−	80.5472i	1.17431	−	0.207062i	0.447744	−	0.894162i	$-0.352227\pi$
$389$	456.806	−	80.5472i	1.17431	−	0.207062i	0.726563	+	0.687099i	$0.241116\pi$
$390$	6.07577	−	6.24823i	0.0155789	−	0.0160211i
$391$	533.686	−	194.246i	1.36493	−	0.496792i
$392$	10.3906	−	3.78189i	0.0265068	−	0.00964767i
$393$	−244.442	−	122.680i	−0.621990	−	0.312162i
$394$	−1.31923	−	7.48175i	−0.00334831	−	0.0189892i
$395$	59.1464	−	13.0613i	0.149738	−	0.0330665i
$396$	−257.474	−	14.8547i	−0.650186	−	0.0375119i
$397$	−240.000	+	138.564i	−0.604535	+	0.349029i	−0.770824	−	0.637049i	$-0.780155\pi$
$397$	−240.000	+	138.564i	−0.604535	+	0.349029i	0.166288	+	0.986077i	$0.446822\pi$
$398$	−2.05561	+	1.72487i	−0.00516486	+	0.00433383i
$399$	−525.996	−	61.3342i	−1.31829	−	0.153720i
$400$	383.674	+	103.484i	0.959185	+	0.258710i
$401$	−114.476	+	136.427i	−0.285476	+	0.340217i	−0.889656	−	0.456631i	$-0.849056\pi$
$401$	−114.476	+	136.427i	−0.285476	+	0.340217i	0.604181	+	0.796847i	$0.293501\pi$
$402$	−32.5487	+	7.72359i	−0.0809669	+	0.0192129i
$403$	87.5002	−	240.405i	0.217122	−	0.596538i
$404$			449.729i			1.11319i
$405$	−29.3175	+	403.937i	−0.0723889	+	0.997376i
$406$	18.3367			0.0451642
$407$	114.198	+	41.5648i	0.280585	+	0.102125i
$408$	8.41495	+	35.4622i	0.0206249	+	0.0869172i
$409$	77.0882	+	64.6846i	0.188480	+	0.158153i	0.732145	−	0.681149i	$-0.238519\pi$
$409$	77.0882	+	64.6846i	0.188480	+	0.158153i	−0.543665	+	0.839302i	$0.682964\pi$
$410$	1.58440	+	2.49154i	0.00386438	+	0.00607693i
$411$	24.9446	−	213.922i	0.0606924	−	0.520492i
$412$	244.309	+	291.156i	0.592982	+	0.706689i
$413$	222.865	+	386.013i	0.539624	+	0.934656i
$414$	−24.5126	−	16.1030i	−0.0592093	−	0.0388961i
$415$	−415.597	+	91.7760i	−1.00144	+	0.221147i
$416$	27.3853	−	4.82876i	0.0658299	−	0.0116076i
$417$	29.1325	−	58.0472i	0.0698622	−	0.139202i
$418$	−6.92414	−	19.0239i	−0.0165649	−	0.0455117i
$419$	−199.565	−	548.300i	−0.476288	−	1.30859i	−0.912621	−	0.408806i	$-0.865945\pi$
$419$	−199.565	−	548.300i	−0.476288	−	1.30859i	0.436333	−	0.899785i	$-0.356277\pi$
$420$	244.030	−	250.956i	0.581023	−	0.597515i
$421$	21.1095	+	119.718i	0.0501413	+	0.284365i	0.999560	−	0.0296461i	$-0.00943803\pi$
$421$	21.1095	+	119.718i	0.0501413	+	0.284365i	−0.949419	+	0.314012i	$0.898327\pi$
$422$	−1.76080	+	3.04979i	−0.00417251	+	0.00722700i
$423$	103.385	−	240.035i	0.244410	−	0.567460i
$424$	−15.2691	−	26.4468i	−0.0360120	−	0.0623746i
$425$	232.859	+	333.727i	0.547903	+	0.785241i
$426$	21.1179	−	28.3825i	0.0495726	−	0.0666256i
$427$	−9.66940	−	1.70498i	−0.0226450	−	0.00399292i
$428$	−13.7403	−	11.5295i	−0.0321034	−	0.0269380i
$429$	−97.4356	+	91.9761i	−0.227123	+	0.214397i
$430$	22.9394	−	9.47964i	0.0533474	−	0.0220457i
$431$			2.16585i			0.00502516i	0.999997	+	0.00251258i	$0.000799780\pi$
$431$			2.16585i			0.00502516i	−0.999997	+	0.00251258i	$0.999200\pi$
$432$	−275.599	+	328.994i	−0.637960	+	0.761560i
$433$			672.143i			1.55229i	0.630552	+	0.776147i	$0.282829\pi$
$433$			672.143i			1.55229i	−0.630552	+	0.776147i	$0.717171\pi$
$434$	−7.68092	+	21.1032i	−0.0176980	+	0.0486248i
$435$	−453.468	+	219.232i	−1.04245	+	0.503981i
$436$	−102.237	−	85.7866i	−0.234487	−	0.196758i
$437$	−182.920	+	1037.39i	−0.418580	+	2.37389i
$438$	−4.83683	−	11.2046i	−0.0110430	−	0.0255813i
$439$	−171.813	+	144.169i	−0.391375	+	0.328402i	−0.817148	−	0.576427i	$-0.804446\pi$
$439$	−171.813	+	144.169i	−0.391375	+	0.328402i	0.425774	+	0.904830i	$0.360002\pi$
$440$	25.5464	+	8.07794i	0.0580601	+	0.0183589i
$441$	38.3110	+	127.713i	0.0868729	+	0.289599i
$442$	8.19040	+	4.72873i	0.0185303	+	0.0106985i
$443$	91.2594	+	517.558i	0.206003	+	1.16830i	0.895853	+	0.444350i	$0.146565\pi$
$443$	91.2594	+	517.558i	0.206003	+	1.16830i	−0.689850	+	0.723952i	$0.742324\pi$
$444$	169.304	−	111.420i	0.381316	−	0.250945i
$445$	−35.0582	+	67.2107i	−0.0787825	+	0.151035i
$446$	−8.18354	−	22.4841i	−0.0183487	−	0.0504128i
$447$	−180.798	+	118.984i	−0.404470	+	0.266183i
$448$	363.697	−	64.1295i	0.811823	−	0.143146i
$449$	−274.816	−	158.665i	−0.612061	−	0.353374i	0.161710	−	0.986838i	$-0.448299\pi$
$449$	−274.816	−	158.665i	−0.612061	−	0.353374i	−0.773772	+	0.633464i	$0.781632\pi$
$450$	6.63201	−	19.9406i	0.0147378	−	0.0443124i
$451$	−22.6973	−	39.3128i	−0.0503265	−	0.0871681i
$452$	−93.8047	+	78.7115i	−0.207533	+	0.174141i
$453$	777.667	−	335.705i	1.71670	−	0.741071i
$454$	−4.45784	+	25.2817i	−0.00981904	+	0.0556865i
$455$	−7.78273	−	181.694i	−0.0171049	−	0.399327i
$456$	−64.7661	−	19.3704i	−0.142031	−	0.0424789i
$457$	−139.171	+	382.369i	−0.304531	+	0.836693i	0.689167	+	0.724603i	$0.257977\pi$
$457$	−139.171	+	382.369i	−0.304531	+	0.836693i	−0.993698	+	0.112090i	$0.964245\pi$
$458$	17.0080			0.0371353
$459$	−432.752	+	76.6722i	−0.942814	+	0.167042i
$460$	−469.989	−	513.753i	−1.02171	−	1.11685i
$461$	−111.535	+	306.439i	−0.241940	+	0.664726i	0.757982	+	0.652275i	$0.226185\pi$
$461$	−111.535	+	306.439i	−0.241940	+	0.664726i	−0.999922	+	0.0124504i	$0.996037\pi$
$462$	8.55306	−	8.07383i	0.0185131	−	0.0174758i
$463$	−330.411	+	393.769i	−0.713631	+	0.850472i	−0.993995	−	0.109421i	$-0.965100\pi$
$463$	−330.411	+	393.769i	−0.713631	+	0.850472i	0.280364	+	0.959894i	$0.409545\pi$
$464$	−525.640	−	92.6844i	−1.13284	−	0.199751i
$465$	−62.3579	−	613.716i	−0.134103	−	1.31982i
$466$	−2.79588	+	2.34603i	−0.00599975	+	0.00503439i
$467$	221.147	+	383.038i	0.473549	+	0.820211i	0.999542	−	0.0302783i	$-0.00963936\pi$
$467$	221.147	+	383.038i	0.473549	+	0.820211i	−0.525993	+	0.850489i	$0.676306\pi$
$468$	26.0639	+	221.937i	0.0556922	+	0.474225i
$469$	−349.026	+	604.530i	−0.744191	+	1.28898i
$470$	−8.26431	+	10.7519i	−0.0175836	+	0.0228763i
$471$	−13.4763	−	230.293i	−0.0286121	−	0.488946i
$472$	19.4607	+	53.4679i	0.0412304	+	0.113279i
$473$	−358.589	+	130.516i	−0.758116	+	0.275932i
$474$	1.52255	−	3.03372i	0.00321213	−	0.00640024i
$475$	−752.008	+	64.5419i	−1.58318	+	0.135878i
$476$	328.962	+	189.927i	0.691098	+	0.399005i
$477$	328.981	−	165.446i	0.689688	−	0.346847i
$478$	6.84354	−	3.95112i	0.0143170	−	0.00826594i
$479$	−104.774	−	124.865i	−0.218735	−	0.260678i	0.645507	−	0.763754i	$-0.276646\pi$
$479$	−104.774	−	124.865i	−0.218735	−	0.260678i	−0.864242	+	0.503076i	$0.832202\pi$
$480$	54.3815	−	39.2237i	0.113295	−	0.0817161i
$481$	18.2850	−	103.699i	0.0380145	−	0.215591i
$482$	26.2533	+	22.0291i	0.0544674	+	0.0457036i
$483$	−595.466	+	141.300i	−1.23285	+	0.292547i
$484$	260.490	+	94.8106i	0.538202	+	0.195890i
$485$	387.403	−	354.402i	0.798770	−	0.730726i
$486$	16.5296	+	15.5521i	0.0340114	+	0.0320003i
$487$			269.803i			0.554011i	0.960868	+	0.277006i	$0.0893421\pi$
$487$			269.803i			0.554011i	−0.960868	+	0.277006i	$0.910658\pi$
$488$	−1.17780	−	0.428683i	−0.00241352	−	0.000878448i
$489$	543.590	−	128.990i	1.11164	−	0.263784i
$490$	−0.296077	−	6.91214i	−0.000604238	−	0.0141064i
$491$	143.240	+	25.2570i	0.291730	+	0.0514399i	0.317598	−	0.948225i	$-0.397124\pi$
$491$	143.240	+	25.2570i	0.291730	+	0.0514399i	−0.0258676	+	0.999665i	$0.508235\pi$
$492$	−75.1975	−	8.76847i	−0.152841	−	0.0178221i
$493$	−351.333	−	418.703i	−0.712643	−	0.849295i
$494$	−15.1913	+	8.77070i	−0.0307516	+	0.0177545i
$495$	−114.988	+	301.927i	−0.232299	+	0.609953i
$496$	326.850	−	566.120i	0.658971	−	1.14137i
$497$	−128.189	−	726.995i	−0.257925	−	1.46277i
$498$	−10.6983	+	21.3167i	−0.0214826	+	0.0428046i
$499$	457.013	−	166.339i	0.915858	−	0.333345i	0.159268	−	0.987235i	$-0.449087\pi$
$499$	457.013	−	166.339i	0.915858	−	0.333345i	0.756589	+	0.653890i	$0.226864\pi$
$500$	269.105	−	420.111i	0.538209	−	0.840223i
$501$	−948.230	+	55.4885i	−1.89267	+	0.110756i
$502$	37.5733	−	6.62519i	0.0748472	−	0.0131976i
$503$	265.891	−	460.536i	0.528610	−	0.915579i	−0.470834	−	0.882222i	$-0.656047\pi$
$503$	265.891	−	460.536i	0.528610	−	0.915579i	0.999444	−	0.0333570i	$-0.0106198\pi$
$504$	−4.58088	−	39.0067i	−0.00908904	−	0.0773942i
$505$	537.175	+	169.858i	1.06371	+	0.336352i
$506$	−15.0390	−	17.9228i	−0.0297213	−	0.0354205i
$507$	−313.616	−	233.345i	−0.618572	−	0.460247i
$508$	−451.128	−	79.5460i	−0.888047	−	0.156587i
$509$	425.984	−	507.668i	0.836904	−	0.997384i	−0.163038	−	0.986620i	$-0.552129\pi$
$509$	425.984	−	507.668i	0.836904	−	0.997384i	0.999942	−	0.0107637i	$-0.00342627\pi$
$510$	22.7430	+	1.66945i	0.0445942	+	0.00327343i
$511$	−239.302	−	87.0989i	−0.468302	−	0.170448i
$512$	118.509			0.231463
$513$	278.170	−	766.224i	0.542242	−	1.49361i
$514$	25.3298			0.0492798
$515$	440.041	−	181.846i	0.854449	−	0.353099i
$516$	−182.360	+	609.734i	−0.353412	+	1.18165i
$517$	134.015	−	159.713i	0.259217	−	0.308922i
$518$	−1.60509	+	9.10290i	−0.00309862	+	0.0175732i
$519$	307.898	−	132.914i	0.593253	−	0.256097i
$520$	3.04919	−	23.0142i	0.00586384	−	0.0442580i
$521$	78.1356	−	45.1116i	0.149972	−	0.0865866i	−0.423136	−	0.906066i	$-0.639071\pi$
$521$	78.1356	−	45.1116i	0.149972	−	0.0865866i	0.573108	+	0.819480i	$0.305737\pi$
$522$	−6.49426	+	27.4685i	−0.0124411	+	0.0526216i
$523$	433.850	+	250.483i	0.829541	+	0.478936i	0.853696	−	0.520772i	$-0.174356\pi$
$523$	433.850	+	250.483i	0.829541	+	0.478936i	−0.0241543	+	0.999708i	$0.507689\pi$
$524$	−358.343	+	63.1856i	−0.683862	+	0.120583i
$525$	−207.585	−	386.263i	−0.395400	−	0.735738i
$526$	26.5797	−	9.67421i	0.0505317	−	0.0183920i
$527$	629.041	−	228.952i	1.19363	−	0.434445i
$528$	−285.993	+	188.212i	−0.541653	+	0.356463i
$529$	119.536	+	677.925i	0.225967	+	1.28152i
$530$	−18.6577	+	4.12016i	−0.0352031	+	0.00777388i
$531$	−657.182	+	197.140i	−1.23763	+	0.371261i
$532$	−610.150	+	352.270i	−1.14690	+	0.662162i
$533$	−30.1306	+	25.2826i	−0.0565302	+	0.0474345i
$534$	1.68362	+	3.90013i	0.00315284	+	0.00730361i
$535$	−18.9608	+	12.0574i	−0.0354408	+	0.0225372i
$536$	−57.2784	+	68.2618i	−0.106863	+	0.127354i
$537$	−107.849	+	360.601i	−0.200837	+	0.671511i
$538$	7.14992	−	19.6442i	0.0132898	−	0.0365135i
$539$			106.366i			0.197340i
$540$	289.507	+	454.439i	0.536125	+	0.841554i
$541$	526.693			0.973555			0.486777	−	0.873526i	$-0.338172\pi$
$541$	526.693			0.973555			0.486777	+	0.873526i	$0.338172\pi$
$542$	14.2358	+	5.18142i	0.0262654	+	0.00955982i
$543$	126.420	−	119.336i	0.232817	−	0.219772i
$544$	55.7385	+	46.7701i	0.102460	+	0.0859745i
$545$	−141.081	+	89.7147i	−0.258864	+	0.164614i
$546$	−8.17629	−	6.08355i	−0.0149749	−	0.0111420i
$547$	478.735	+	570.534i	0.875201	+	1.04302i	0.998715	+	0.0506809i	$0.0161391\pi$
$547$	478.735	+	570.534i	0.875201	+	1.04302i	−0.123514	+	0.992343i	$0.539416\pi$
$548$	−143.268	−	248.148i	−0.261438	−	0.452824i
$549$	5.97867	−	13.8810i	0.0108901	−	0.0252841i
$550$	9.63808	−	13.7164i	0.0175238	−	0.0249389i
$551$	998.373	−	176.040i	1.81193	−	0.319492i
$552$	−77.9913	+	4.56390i	−0.141289	+	0.00826793i
$553$	−24.2252	−	66.5581i	−0.0438068	−	0.120358i
$554$	−4.06784	−	11.1763i	−0.00734267	−	0.0201738i
$555$	−69.1397	−	244.306i	−0.124576	−	0.440191i
$556$	−15.0046	−	85.0952i	−0.0269866	−	0.153049i
$557$	−453.798	+	786.002i	−0.814719	+	1.41113i	0.0948111	+	0.995495i	$0.469775\pi$
$557$	−453.798	+	786.002i	−0.814719	+	1.41113i	−0.909530	+	0.415639i	$0.863558\pi$
$558$	−28.8924	−	18.9802i	−0.0517784	−	0.0340146i
$559$	165.322	+	286.347i	0.295747	+	0.512248i
$560$	61.0337	−	460.660i	0.108989	−	0.822606i
$561$	−348.237	−	40.6065i	−0.620744	−	0.0723823i
$562$	−28.7783	−	5.07440i	−0.0512070	−	0.00902918i
$563$	−843.150	−	707.487i	−1.49760	−	1.25664i	−0.884416	−	0.466699i	$-0.845443\pi$
$563$	−843.150	−	707.487i	−1.49760	−	1.25664i	−0.613186	−	0.789939i	$-0.710112\pi$
$564$	−80.2803	−	338.317i	−0.142341	−	0.599852i
$565$	58.5872	+	141.773i	0.103694	+	0.250925i
$566$			36.7013i			0.0648433i
$567$	472.758	−	28.0544i	0.833789	−	0.0494787i
$568$		−	94.2358i		−	0.165908i
$569$	188.326	−	517.421i	0.330977	−	0.909351i	−0.656882	−	0.753994i	$-0.728125\pi$
$569$	188.326	−	517.421i	0.330977	−	0.909351i	0.987858	−	0.155357i	$-0.0496529\pi$
$570$	−23.7731	+	34.9834i	−0.0417072	+	0.0613744i
$571$	−198.070	−	166.200i	−0.346882	−	0.291069i	0.452654	−	0.891686i	$-0.350477\pi$
$571$	−198.070	−	166.200i	−0.346882	−	0.291069i	−0.799537	+	0.600617i	$0.794922\pi$
$572$	−30.9551	+	175.555i	−0.0541174	+	0.306915i
$573$	447.411	+	52.1708i	0.780823	+	0.0910484i
$574$	2.64492	−	2.21935i	0.00460787	−	0.00386646i
$575$	−791.157	+	367.334i	−1.37593	+	0.638843i
$576$	−32.7433	+	567.533i	−0.0568460	+	0.985301i
$577$	−821.614	−	474.359i	−1.42394	−	0.822113i	−0.427309	−	0.904106i	$-0.640538\pi$
$577$	−821.614	−	474.359i	−1.42394	−	0.822113i	−0.996633	+	0.0819929i	$0.973872\pi$
$578$	−0.389963	−	2.21159i	−0.000674677	−	0.00382628i
$579$	472.403	+	237.088i	0.815895	+	0.409478i
$580$	−309.913	+	594.141i	−0.534333	+	1.02438i
$581$	170.220	+	467.676i	0.292978	+	0.804951i
$582$	−1.71886	−	29.3732i	−0.00295337	−	0.0504693i
$583$	289.295	−	51.0105i	0.496218	−	0.0874966i
$584$	−28.1532	−	16.2543i	−0.0482075	−	0.0278326i
$585$	274.935	+	52.6916i	0.469975	+	0.0900711i
$586$	22.3732	+	38.7516i	0.0381796	+	0.0661289i
$587$	547.890	−	459.734i	0.933373	−	0.783193i	−0.0430469	−	0.999073i	$-0.513706\pi$
$587$	547.890	−	459.734i	0.933373	−	0.783193i	0.976420	+	0.215880i	$0.0692621\pi$
$588$	142.320	+	105.893i	0.242041	+	0.180090i
$589$	−215.602	+	1222.74i	−0.366048	+	2.07596i
$590$	35.5683	−	1.52354i	0.0602853	−	0.00258228i
$591$	177.452	−	167.509i	0.300257	−	0.283434i
$592$	92.0230	−	252.831i	0.155444	−	0.427080i
$593$	1161.86			1.95930			0.979649	−	0.200719i	$-0.0643277\pi$
$593$	1161.86			1.95930			0.979649	+	0.200719i	$0.0643277\pi$
$594$	9.06543	+	15.6721i	0.0152617	+	0.0263839i
$595$	351.102	−	321.193i	0.590087	−	0.539820i
$596$	−98.4860	+	270.588i	−0.165245	+	0.454007i
$597$	−82.5787	−	24.6978i	−0.138323	−	0.0413699i
$598$	−13.0307	+	15.5294i	−0.0217905	+	0.0259690i
$599$	628.989	+	110.908i	1.05007	+	0.185155i	0.671945	−	0.740601i	$-0.265459\pi$
$599$	628.989	+	110.908i	1.05007	+	0.185155i	0.378121	+	0.925756i	$0.376570\pi$
$600$	−17.5343	−	53.1606i	−0.0292239	−	0.0886010i
$601$	693.703	−	582.086i	1.15425	−	0.968529i	0.154438	−	0.988002i	$-0.450643\pi$
$601$	693.703	−	582.086i	1.15425	−	0.968529i	0.999810	+	0.0194730i	$0.00619884\pi$
$602$	−14.5123	−	25.1360i	−0.0241068	−	0.0417542i
$603$	−781.978	−	736.949i	−1.29681	−	1.22214i
$604$	563.457	−	975.936i	0.932876	−	1.61579i
$605$	211.630	−	275.331i	0.349801	−	0.455092i
$606$	26.3730	−	17.3562i	0.0435198	−	0.0286405i
$607$	−5.86377	−	16.1106i	−0.00966025	−	0.0265413i	0.934769	−	0.355257i	$-0.115607\pi$
$607$	−5.86377	−	16.1106i	−0.00966025	−	0.0265413i	−0.944429	+	0.328715i	$0.893384\pi$
$608$	−126.817	+	46.1575i	−0.208580	+	0.0759170i
$609$	323.787	+	492.001i	0.531670	+	0.807883i
$610$	−0.477916	+	0.621770i	−0.000783470	+	0.00101929i
$611$	−156.447	−	90.3246i	−0.256050	−	0.147831i
$612$	−401.020	+	425.523i	−0.655261	+	0.695298i
$613$	153.482	−	88.6128i	0.250378	−	0.144556i	−0.369559	−	0.929207i	$-0.620491\pi$
$613$	153.482	−	88.6128i	0.250378	−	0.144556i	0.619937	+	0.784651i	$0.287158\pi$
$614$	−25.2557	−	30.0986i	−0.0411331	−	0.0490206i
$615$	−38.8747	+	86.5072i	−0.0632109	+	0.140662i
$616$	5.44053	−	30.8548i	0.00883203	−	0.0500890i
$617$	177.659	+	149.074i	0.287940	+	0.241610i	0.775304	−	0.631589i	$-0.217597\pi$
$617$	177.659	+	149.074i	0.287940	+	0.241610i	−0.487364	+	0.873199i	$0.662041\pi$
$618$	7.64549	−	25.5632i	0.0123713	−	0.0413644i
$619$	−124.712	−	45.3915i	−0.201473	−	0.0733303i	0.239312	−	0.970943i	$-0.423078\pi$
$619$	−124.712	−	45.3915i	−0.201473	−	0.0733303i	−0.440786	+	0.897612i	$0.645300\pi$
$620$	−553.963	−	605.547i	−0.893489	−	0.976688i
$621$	−0.773565	−	942.057i	−0.00124568	−	1.51700i
$622$			13.9927i			0.0224963i
$623$	83.2971	+	30.3176i	0.133703	+	0.0486640i
$624$	203.632	+	215.719i	0.326334	+	0.345704i
$625$	−400.160	−	480.101i	−0.640256	−	0.768162i
$626$	39.4321	+	6.95295i	0.0629906	+	0.0111069i
$627$	388.175	−	521.708i	0.619099	−	0.832070i
$628$	−197.280	−	235.109i	−0.314139	−	0.374377i
$629$	238.611	−	137.762i	0.379350	−	0.219018i
$630$	−24.1343	−	4.62536i	−0.0383084	−	0.00734185i
$631$	243.894	−	422.436i	0.386519	−	0.669471i	−0.605459	−	0.795876i	$-0.707011\pi$
$631$	243.894	−	422.436i	0.386519	−	0.669471i	0.991979	+	0.126405i	$0.0403439\pi$
$632$	−1.57008	−	8.90436i	−0.00248430	−	0.0140892i
$633$	−112.923	+	6.60801i	−0.178393	+	0.0104392i
$634$	−18.1474	+	6.60510i	−0.0286236	+	0.0104181i
$635$	−265.399	+	508.801i	−0.417951	+	0.801262i
$636$	219.754	−	437.866i	0.345526	−	0.688468i
$637$	90.7623	−	16.0038i	0.142484	−	0.0251238i
$638$	−11.2583	+	19.4999i	−0.0176462	+	0.0305642i
$639$	1134.45	+	65.4508i	1.77534	+	0.102427i
$640$	35.8470	−	113.366i	0.0560110	−	0.177134i
$641$	350.011	+	417.127i	0.546039	+	0.650744i	0.966530	−	0.256552i	$-0.0825866\pi$
$641$	350.011	+	417.127i	0.546039	+	0.650744i	−0.420491	+	0.907297i	$0.638142\pi$
$642$	−0.145840	+	1.25071i	−0.000227165	+	0.00194814i
$643$	−237.306	−	41.8434i	−0.369060	−	0.0650753i	−0.0139576	−	0.999903i	$-0.504443\pi$
$643$	−237.306	−	41.8434i	−0.369060	−	0.0650753i	−0.355103	+	0.934827i	$0.615554\pi$
$644$	−523.372	+	623.730i	−0.812689	+	0.968526i
$645$	659.415	+	448.109i	1.02235	+	0.694742i
$646$	−43.1307	−	15.6983i	−0.0667657	−	0.0243007i
$647$	−1142.66			−1.76609			−0.883046	−	0.469287i	$-0.844511\pi$
$647$	−1142.66			−1.76609			−0.883046	+	0.469287i	$0.844511\pi$
$648$	60.0548	+	6.95275i	0.0926771	+	0.0107296i
$649$	−547.336			−0.843353
$650$	−13.1543	−	6.16041i	−0.0202374	−	0.00947756i
$651$	−701.860	+	166.547i	−1.07813	+	0.255832i
$652$	477.777	−	569.392i	0.732786	−	0.873300i
$653$	108.986	−	618.091i	0.166901	−	0.946540i	−0.780183	−	0.625552i	$-0.784874\pi$
$653$	108.986	−	618.091i	0.166901	−	0.946540i	0.947083	−	0.320988i	$-0.104015\pi$
$654$	−1.08514	+	9.30607i	−0.00165924	+	0.0142295i
$655$	−59.8711	+	451.885i	−0.0914062	+	0.689900i
$656$	−87.0373	+	50.2510i	−0.132679	+	0.0766021i
$657$	215.228	−	327.629i	0.327592	−	0.498674i
$658$	13.7332	+	7.92885i	0.0208711	+	0.0120499i
$659$	−1254.97	+	221.286i	−1.90436	+	0.335790i	−0.996508	−	0.0834993i	$-0.973390\pi$
$659$	−1254.97	+	221.286i	−1.90436	+	0.335790i	−0.907853	+	0.419289i	$0.862279\pi$
$660$	117.049	+	413.593i	0.177346	+	0.626656i
$661$	50.2830	−	18.3015i	0.0760710	−	0.0276876i	−0.303704	−	0.952766i	$-0.598224\pi$
$661$	50.2830	−	18.3015i	0.0760710	−	0.0276876i	0.379775	+	0.925079i	$0.376001\pi$
$662$	−27.9700	+	10.1802i	−0.0422507	+	0.0153780i
$663$	17.7462	+	303.261i	0.0267665	+	0.457407i
$664$	11.0323	+	62.5673i	0.0166149	+	0.0942278i
$665$	190.319	+	861.836i	0.286193	+	1.29599i
$666$	−13.0677	−	5.62839i	−0.0196212	−	0.00845104i
$667$	1014.63	−	585.799i	1.52119	−	0.878260i
$668$	−968.056	+	812.295i	−1.44919	+	1.21601i
$669$	458.779	−	616.599i	0.685768	−	0.921673i
$670$	29.9179	+	47.0473i	0.0446536	+	0.0702199i
$671$	7.74994	−	9.23602i	0.0115498	−	0.0137646i
$672$	−53.8216	−	57.0163i	−0.0800916	−	0.0848456i
$673$	312.279	−	857.980i	0.464011	−	1.27486i	−0.458434	−	0.888729i	$-0.651589\pi$
$673$	312.279	−	857.980i	0.464011	−	1.27486i	0.922444	−	0.386130i	$-0.126188\pi$
$674$			37.0387i			0.0549536i
$675$	652.145	−	174.162i	0.966140	−	0.258018i
$676$	−520.067			−0.769330
$677$	−360.212	−	131.106i	−0.532070	−	0.193658i	0.0619922	−	0.998077i	$-0.480255\pi$
$677$	−360.212	−	131.106i	−0.532070	−	0.193658i	−0.594063	+	0.804419i	$0.702477\pi$
$678$	8.23595	+	2.46323i	0.0121474	+	0.00363308i
$679$	−470.333	−	394.657i	−0.692685	−	0.581232i
$680$	51.2587	−	32.5959i	0.0753804	−	0.0479352i
$681$	−757.063	+	326.811i	−1.11169	+	0.479899i
$682$	−17.7260	−	21.1251i	−0.0259913	−	0.0309752i
$683$	28.6961	+	49.7031i	0.0420148	+	0.0727718i	0.886268	−	0.463173i	$-0.153289\pi$
$683$	28.6961	+	49.7031i	0.0420148	+	0.0727718i	−0.844253	+	0.535944i	$0.819956\pi$
$684$	−311.608	−	1038.77i	−0.455567	−	1.51867i
$685$	−350.508	+	77.4025i	−0.511691	+	0.112996i
$686$	−34.3186	+	6.05129i	−0.0500271	+	0.00882113i
$687$	300.325	+	456.350i	0.437155	+	0.664265i
$688$	288.957	+	793.904i	0.419996	+	1.15393i
$689$	−87.0545	−	239.180i	−0.126349	−	0.347141i
$690$	−11.9895	+	47.3881i	−0.0173761	+	0.0686784i
$691$	−126.796	−	719.097i	−0.183497	−	1.04066i	−0.927872	−	0.372900i	$-0.878364\pi$
$691$	−126.796	−	719.097i	−0.183497	−	1.04066i	0.744375	−	0.667762i	$-0.232748\pi$
$692$	223.087	−	386.398i	0.322380	−	0.558379i
$693$	367.662	+	86.9251i	0.530537	+	0.125433i
$694$	−23.3077	−	40.3701i	−0.0335846	−	0.0581702i
$695$	−107.308	−	14.2175i	−0.154400	−	0.0204568i
$696$	29.7988	+	69.0293i	0.0428143	+	0.0991801i
$697$	−101.354	−	17.8715i	−0.145415	−	0.0256405i
$698$	47.3800	+	39.7566i	0.0678797	+	0.0569579i
$699$	−112.317	−	33.5920i	−0.160682	−	0.0480572i
$700$	−528.336	−	247.429i	−0.754766	−	0.353470i
$701$			1134.75i			1.61876i	0.587289	+	0.809378i	$0.300195\pi$
$701$			1134.75i			1.61876i	−0.587289	+	0.809378i	$0.699805\pi$
$702$	12.0090	−	10.0936i	0.0171068	−	0.0143783i
$703$			511.034i			0.726933i
$704$	−155.104	+	426.144i	−0.220318	+	0.605318i
$705$	−434.420	−	31.8885i	−0.616199	−	0.0452320i
$706$	7.68111	+	6.44521i	0.0108798	+	0.00912920i
$707$	114.400	−	648.796i	0.161811	−	0.917675i
$708$	−544.900	+	732.346i	−0.769633	+	1.03439i
$709$	−401.855	+	337.196i	−0.566791	+	0.475594i	−0.880579	−	0.473899i	$-0.842846\pi$
$709$	−401.855	+	337.196i	−0.566791	+	0.475594i	0.313788	+	0.949493i	$0.398402\pi$
$710$	−56.2181	−	17.7765i	−0.0791805	−	0.0250373i
$711$	108.284	−	12.7167i	0.152299	−	0.0178857i
$712$	9.79965	+	5.65783i	0.0137636	+	0.00794639i
$713$	249.167	+	1413.10i	0.349463	+	1.98190i
$714$	−1.55779	−	26.6207i	−0.00218178	−	0.0372840i
$715$	197.999	+	103.279i	0.276922	+	0.144447i
$716$	171.267	+	470.552i	0.239200	+	0.657195i
$717$	226.857	+	113.854i	0.316398	+	0.158793i
$718$	−33.8070	+	5.96108i	−0.0470849	+	0.00830234i
$719$	−937.305	−	541.153i	−1.30362	−	0.752647i	−0.322600	−	0.946535i	$-0.604557\pi$
$719$	−937.305	−	541.153i	−1.30362	−	0.752647i	−0.981024	+	0.193888i	$0.937890\pi$
$720$	668.456	+	254.580i	0.928411	+	0.353583i
$721$	−278.386	−	482.178i	−0.386111	−	0.668764i
$722$	39.3860	−	33.0488i	0.0545513	−	0.0457740i
$723$	−127.497	+	1093.40i	−0.176345	+	1.51232i
$724$	40.1634	−	227.778i	0.0554743	−	0.314610i
$725$	592.615	+	594.574i	0.817399	+	0.820102i
$726$	−4.49306	−	18.9346i	−0.00618879	−	0.0260807i
$727$	14.9896	−	41.1836i	0.0206184	−	0.0566487i	−0.928956	−	0.370189i	$-0.879293\pi$
$727$	14.9896	−	41.1836i	0.0206184	−	0.0566487i	0.949575	+	0.313540i	$0.101515\pi$
$728$	−27.1470			−0.0372898
$729$	−125.410	+	718.132i	−0.172031	+	0.985092i
$730$	−15.0076	+	13.7291i	−0.0205583	+	0.0188070i
$731$	−295.903	+	812.986i	−0.404792	+	1.11216i
$732$	−4.64253	−	19.5645i	−0.00634225	−	0.0267274i
$733$	238.512	−	284.248i	0.325392	−	0.387787i	−0.578404	−	0.815750i	$-0.696324\pi$
$733$	238.512	−	284.248i	0.325392	−	0.387787i	0.903796	+	0.427963i	$0.140769\pi$
$734$	53.6478	+	9.45955i	0.0730896	+	0.0128877i
$735$	180.235	−	129.998i	0.245218	−	0.176868i
$736$	−119.476	+	100.253i	−0.162332	+	0.136213i
$737$	−428.588	−	742.337i	−0.581531	−	1.00724i
$738$	2.38786	+	4.74813i	0.00323558	+	0.00643378i
$739$	−387.988	+	672.014i	−0.525017	+	0.909356i	0.474559	+	0.880224i	$0.342608\pi$
$739$	−387.988	+	672.014i	−0.525017	+	0.909356i	−0.999576	+	0.0291322i	$0.990726\pi$
$740$	−267.822	−	205.859i	−0.361922	−	0.278187i
$741$	−503.578	−	252.734i	−0.679593	−	0.341071i
$742$	7.64180	+	20.9957i	0.0102989	+	0.0282961i
$743$	−150.813	+	54.8915i	−0.202979	+	0.0738782i	−0.441509	−	0.897257i	$-0.645557\pi$
$743$	−150.813	+	54.8915i	−0.202979	+	0.0738782i	0.238530	+	0.971135i	$0.423334\pi$
$744$	−91.9262	+	5.37934i	−0.123557	+	0.00723030i
$745$	286.004	+	219.834i	0.383898	+	0.295079i
$746$	41.7147	+	24.0840i	0.0559178	+	0.0322842i
$747$	−760.869	+	89.3551i	−1.01857	+	0.119619i
$748$	−403.951	+	233.221i	−0.540042	+	0.311793i
$749$	16.8894	+	20.1280i	0.0225493	+	0.0268732i
$750$	−35.0216	+	0.432287i	−0.0466954	+	0.000576383i
$751$	159.424	−	904.139i	0.212282	−	1.20391i	−0.673278	−	0.739389i	$-0.735114\pi$
$751$	159.424	−	904.139i	0.212282	−	1.20391i	0.885561	−	0.464524i	$-0.153774\pi$
$752$	−353.599	−	296.705i	−0.470211	−	0.394554i
$753$	841.230	+	891.163i	1.11717	+	1.18348i
$754$	18.3332	+	6.67275i	0.0243146	+	0.00884980i
$755$	−952.886	−	1041.62i	−1.26210	−	1.37962i
$756$	482.334	−	405.401i	0.638007	−	0.536245i
$757$		−	212.360i		−	0.280529i	−0.990114	−	0.140264i	$-0.955205\pi$
$757$		−	212.360i		−	0.280529i	0.990114	−	0.140264i	$-0.0447953\pi$
$758$	3.07034	+	1.11751i	0.00405058	+	0.00147429i
$759$	215.339	−	719.998i	0.283714	−	0.948614i
$760$	4.82163	+	112.565i	0.00634425	+	0.148111i
$761$	666.897	+	117.592i	0.876343	+	0.154523i	0.593685	−	0.804698i	$-0.297673\pi$
$761$	666.897	+	117.592i	0.876343	+	0.154523i	0.282658	+	0.959221i	$0.408784\pi$
$762$	12.7454	+	29.5249i	0.0167262	+	0.0387466i
$763$	125.668	+	149.765i	0.164703	+	0.196285i
$764$	518.992	−	299.640i	0.679309	−	0.392199i
$765$	356.800	+	639.710i	0.466406	+	0.836222i
$766$	−0.880939	+	1.52583i	−0.00115005	+	0.00199195i
$767$	82.3521	+	467.042i	0.107369	+	0.608920i
$768$	413.021	+	627.594i	0.537788	+	0.817180i
$769$	−293.995	+	107.006i	−0.382309	+	0.139149i	−0.526023	−	0.850470i	$-0.676318\pi$
$769$	−293.995	+	107.006i	−0.382309	+	0.139149i	0.143715	+	0.989619i	$0.454095\pi$
$770$	−17.3807	−	9.06606i	−0.0225723	−	0.0117741i
$771$	447.272	+	679.638i	0.580119	+	0.881502i
$772$	692.526	−	122.111i	0.897055	−	0.158175i
$773$	185.810	−	321.833i	0.240375	−	0.416343i	−0.720446	−	0.693511i	$-0.756063\pi$
$773$	185.810	−	321.833i	0.240375	−	0.416343i	0.960821	+	0.277169i	$0.0893961\pi$
$774$	42.7937	−	12.8371i	0.0552891	−	0.0165854i
$775$	−932.515	+	432.967i	−1.20325	+	0.558667i
$776$	−50.3797	−	60.0402i	−0.0649223	−	0.0773713i
$777$	−272.587	+	117.671i	−0.350820	+	0.151443i
$778$	−42.6647	−	7.52294i	−0.0548390	−	0.00966959i
$779$	122.701	−	146.229i	0.157511	−	0.187714i
$780$	335.308	−	162.107i	0.429882	−	0.207829i
$781$	851.821	+	310.038i	1.09068	+	0.396975i
$782$	−53.0442			−0.0678314
$783$	−851.696	+	310.784i	−1.08773	+	0.396915i
$784$	235.491			0.300371
$785$	−355.334	+	146.841i	−0.452654	+	0.187058i
$786$	17.5347	+	18.5755i	0.0223088	+	0.0236329i
$787$	−420.158	+	500.725i	−0.533873	+	0.636246i	−0.963803	−	0.266617i	$-0.914094\pi$
$787$	−420.158	+	500.725i	−0.533873	+	0.636246i	0.429929	+	0.902863i	$0.358539\pi$
$788$	56.3763	−	319.726i	0.0715435	−	0.405743i
$789$	728.915	+	542.347i	0.923847	+	0.687386i
$790$	−5.60823	−	0.743046i	−0.00709903	−	0.000940565i
$791$	155.348	−	89.6905i	0.196395	−	0.113389i
$792$	44.2939	+	19.0778i	0.0559266	+	0.0240881i
$793$	−9.04716	−	5.22338i	−0.0114088	−	0.00658686i
$794$	25.4900	−	4.49458i	0.0321033	−	0.00566068i
$795$	−440.006	−	427.861i	−0.553466	−	0.538190i
$796$	−107.758	+	39.2206i	−0.135374	+	0.0492721i
$797$	500.435	−	182.143i	0.627898	−	0.228536i	−0.00841794	−	0.999965i	$-0.502680\pi$
$797$	500.435	−	182.143i	0.627898	−	0.228536i	0.636316	+	0.771428i	$0.280457\pi$
$798$	44.2050	+	22.1854i	0.0553947	+	0.0278013i
$799$	−82.0809	−	465.504i	−0.102730	−	0.582608i
$800$	−91.4359	−	64.2492i	−0.114295	−	0.0803115i
$801$	−74.9173	+	114.042i	−0.0935297	+	0.142375i
$802$	14.4050	−	8.31674i	0.0179614	−	0.0103700i
$803$	239.551	−	201.007i	0.298320	−	0.250320i
$804$	−1419.94	−	165.573i	−1.76610	−	0.205937i
$805$	547.337	+	860.713i	0.679922	+	1.06921i
$806$	−15.3590	+	18.3041i	−0.0190558	+	0.0227098i
$807$	653.338	−	155.033i	0.809589	−	0.192110i
$808$	28.7637	−	79.0276i	0.0355986	−	0.0978064i
$809$			74.9666i			0.0926657i	0.998926	+	0.0463329i	$0.0147535\pi$
$809$			74.9666i			0.0926657i	−0.998926	+	0.0463329i	$0.985247\pi$
$810$	15.4764	−	34.5152i	0.0191067	−	0.0426114i
$811$	538.039			0.663427			0.331714	−	0.943380i	$-0.392373\pi$
$811$	538.039			0.663427			0.331714	+	0.943380i	$0.392373\pi$
$812$	736.343	+	268.007i	0.906827	+	0.330058i
$813$	112.350	+	473.463i	0.138191	+	0.582365i
$814$	−8.69491	−	7.29589i	−0.0106817	−	0.00896301i
$815$	−499.654	−	785.729i	−0.613072	−	0.964085i
$816$	−89.9014	+	770.986i	−0.110173	+	0.944836i
$817$	−1031.47	−	1229.25i	−1.26250	−	1.50459i
$818$	−4.69939	−	8.13958i	−0.00574497	−	0.00995058i
$819$	18.8547	−	326.805i	0.0230217	−	0.399030i
$820$	27.2084	+	123.210i	0.0331809	+	0.150256i
$821$	−1063.54	+	187.530i	−1.29542	+	0.228417i	−0.778514	−	0.627627i	$-0.784026\pi$
$821$	−1063.54	+	187.530i	−1.29542	+	0.228417i	−0.516903	+	0.856044i	$0.672915\pi$
$822$	−9.02280	+	17.9781i	−0.0109766	+	0.0218712i
$823$	−278.245	−	764.472i	−0.338086	−	0.928884i	−0.985937	−	0.167117i	$-0.946554\pi$
$823$	−278.245	−	764.472i	−0.338086	−	0.928884i	0.647851	−	0.761767i	$-0.275668\pi$
$824$	−24.3089	−	66.7881i	−0.0295011	−	0.0810535i
$825$	538.220	+	16.4021i	0.652388	+	0.0198813i
$826$	−7.22901	−	40.9978i	−0.00875183	−	0.0496341i
$827$	151.120	−	261.748i	0.182733	−	0.316502i	−0.760077	−	0.649833i	$-0.774839\pi$
$827$	151.120	−	261.748i	0.182733	−	0.316502i	0.942810	+	0.333330i	$0.108172\pi$
$828$	−748.991	−	1004.92i	−0.904579	−	1.21367i
$829$	−717.628	−	1242.97i	−0.865656	−	1.49936i	−0.866395	−	0.499360i	$-0.833569\pi$
$829$	−717.628	−	1242.97i	−0.865656	−	1.49936i	0.000739138	−	1.00000i	$-0.499765\pi$
$830$	39.4068	+	5.22108i	0.0474780	+	0.00629046i
$831$	228.048	−	306.496i	0.274426	−	0.368828i
$832$	386.966	+	68.2325i	0.465103	+	0.0820102i
$833$	184.733	+	155.009i	0.221768	+	0.186085i
$834$	−4.41109	+	4.16393i	−0.00528907	+	0.00499272i
$835$	604.614	+	1463.08i	0.724089	+	1.75219i
$836$		−	865.144i		−	1.03486i
$837$	−0.911779	−	1110.38i	−0.00108934	−	1.32662i
$838$			54.4966i			0.0650318i
$839$	−100.224	+	275.364i	−0.119457	+	0.328205i	−0.984981	−	0.172662i	$-0.944763\pi$
$839$	−100.224	+	275.364i	−0.119457	+	0.328205i	0.865524	+	0.500867i	$0.166985\pi$
$840$	−58.9321	+	28.4911i	−0.0701573	+	0.0339180i
$841$	−219.499	−	184.182i	−0.260998	−	0.219003i
$842$	1.97158	−	11.1814i	0.00234155	−	0.0132796i
$843$	−372.011	−	861.770i	−0.441295	−	1.02227i
$844$	−115.284	+	96.7346i	−0.136592	+	0.114614i
$845$	−196.424	+	621.189i	−0.232454	+	0.735135i
$846$	−16.7413	+	17.7643i	−0.0197888	+	0.0209979i
$847$	−351.675	−	203.040i	−0.415201	−	0.239716i
$848$	−112.936	−	640.489i	−0.133179	−	0.755294i
$849$	−984.753	+	648.069i	−1.15990	+	0.763332i
$850$	−9.77635	−	36.7282i	−0.0115016	−	0.0432096i
$851$	201.994	+	554.974i	0.237361	+	0.652144i
$852$	1262.87	−	831.096i	1.48224	−	0.975465i
$853$	1556.22	−	274.403i	1.82441	−	0.321692i	0.846764	−	0.531969i	$-0.178548\pi$
$853$	1556.22	−	274.403i	1.82441	−	0.321692i	0.977642	+	0.210277i	$0.0674367\pi$
$854$	0.794175	+	0.458517i	0.000929948	+	0.000536905i
$855$	−1358.44	−	20.1364i	−1.58882	−	0.0235514i
$856$	1.67708	+	2.90478i	0.00195920	+	0.00339344i
$857$	−253.405	+	212.632i	−0.295689	+	0.248112i	−0.778547	−	0.627586i	$-0.784043\pi$
$857$	−253.405	+	212.632i	−0.295689	+	0.248112i	0.482858	+	0.875698i	$0.339599\pi$
$858$	11.4896	−	4.95984i	0.0133911	−	0.00578070i
$859$	112.572	−	638.426i	0.131050	−	0.743220i	−0.846480	−	0.532421i	$-0.821282\pi$
$859$	112.572	−	638.426i	0.131050	−	0.743220i	0.977529	−	0.210799i	$-0.0676066\pi$
$860$	1059.73	−	45.3927i	1.23224	−	0.0527822i
$861$	106.252	+	31.7782i	0.123406	+	0.0369084i
$862$	0.0691857	−	0.190086i	8.02619e−5	−	0.000220518i
$863$	−991.166			−1.14851			−0.574256	−	0.818676i	$-0.694709\pi$
$863$	−991.166			−1.14851			−0.574256	+	0.818676i	$0.694709\pi$
$864$	104.473	−	60.4318i	0.120918	−	0.0699442i
$865$	−377.272	−	412.403i	−0.436153	−	0.476766i
$866$	21.4709	−	58.9909i	0.0247932	−	0.0681188i
$867$	52.4545	−	49.5154i	0.0605012	−	0.0571112i
$868$	−616.884	+	735.174i	−0.710696	+	0.846975i
$869$	85.6543	+	15.1032i	0.0985665	+	0.0173799i
$870$	46.8019	−	4.75540i	0.0537953	−	0.00546598i
$871$	−568.951	+	477.406i	−0.653216	+	0.548113i
$872$	12.4785	+	21.6135i	0.0143103	+	0.0247861i
$873$	757.776	−	564.788i	0.868014	−	0.646951i
$874$	49.1923	−	85.2036i	0.0562841	−	0.0974870i
$875$	−495.086	+	537.614i	−0.565813	+	0.614416i
$876$	−30.4666	−	520.636i	−0.0347792	−	0.594334i
$877$	453.571	+	1246.18i	0.517185	+	1.42095i	0.873609	+	0.486629i	$0.161774\pi$
$877$	453.571	+	1246.18i	0.517185	+	1.42095i	−0.356424	+	0.934324i	$0.616004\pi$
$878$	19.6846	−	7.16461i	0.0224198	−	0.00816014i
$879$	−644.700	+	1284.58i	−0.733447	+	1.46141i
$880$	452.411	+	347.741i	0.514103	+	0.395160i
$881$	407.689	+	235.379i	0.462757	+	0.267173i	0.713203	−	0.700958i	$-0.247244\pi$
$881$	407.689	+	235.379i	0.462757	+	0.267173i	−0.250446	+	0.968131i	$0.580577\pi$
$882$	0.717287	−	12.4326i	0.000813250	−	0.0140959i
$883$	−255.094	+	147.278i	−0.288894	+	0.166793i	−0.637443	−	0.770497i	$-0.720008\pi$
$883$	−255.094	+	147.278i	−0.288894	+	0.166793i	0.348549	+	0.937291i	$0.386675\pi$
$884$	259.786	+	309.601i	0.293876	+	0.350228i
$885$	668.941	+	927.450i	0.755866	+	1.04797i
$886$	8.52344	−	48.3388i	0.00962014	−	0.0545585i
$887$	−611.887	−	513.434i	−0.689839	−	0.578843i	0.229024	−	0.973421i	$-0.426447\pi$
$887$	−611.887	−	513.434i	−0.689839	−	0.578843i	−0.918863	+	0.394577i	$0.870891\pi$
$888$	−36.8768	+	8.75062i	−0.0415279	+	0.00985430i
$889$	630.579	+	229.512i	0.709313	+	0.258169i
$890$	5.22387	−	4.77888i	0.00586952	−	0.00536952i
$891$	−260.429	+	519.975i	−0.292288	+	0.583586i
$892$		−	1022.50i		−	1.14630i
$893$	823.849	+	299.857i	0.922564	+	0.335786i
$894$	19.6686	−	4.66724i	0.0220007	−	0.00522063i
$895$	626.732	−	26.8456i	0.700259	−	0.0299951i
$896$	−136.923	−	24.1432i	−0.152815	−	0.0269455i
$897$	−646.775	−	75.4177i	−0.721042	−	0.0840777i
$898$	19.0509	+	22.7040i	0.0212148	+	0.0252828i
$899$	1195.92	−	690.466i	1.33028	−	0.768037i
$900$	557.771	−	703.820i	0.619746	−	0.782022i
$901$	333.001	−	576.775i	0.369590	−	0.640149i
$902$	0.736226	+	4.17534i	0.000816215	+	0.00462898i
$903$	418.182	−	833.236i	0.463102	−	0.922742i
$904$	21.5178	−	7.83185i	0.0238029	−	0.00866355i
$905$	−256.898	−	134.002i	−0.283865	−	0.148069i
$906$	−78.9760	+	4.62152i	−0.0871700	+	0.00510101i
$907$	−61.6343	+	10.8678i	−0.0679540	+	0.0119821i	−0.207522	−	0.978230i	$-0.566540\pi$
$907$	−61.6343	+	10.8678i	−0.0679540	+	0.0119821i	0.139568	+	0.990213i	$0.455429\pi$
$908$	−548.528	+	950.079i	−0.604106	+	1.04634i
$909$	931.385	+	401.156i	1.02463	+	0.441315i
$910$	−5.12097	+	16.1950i	−0.00562744	+	0.0177967i
$911$	1.84734	+	2.20157i	0.00202781	+	0.00241665i	0.767057	−	0.641578i	$-0.221720\pi$
$911$	1.84734	+	2.20157i	0.00202781	+	0.00241665i	−0.765030	+	0.643995i	$0.777276\pi$
$912$	−1155.04	−	859.407i	−1.26650	−	0.942332i
$913$	−601.858	−	106.124i	−0.659209	−	0.116236i
$914$	24.4288	−	29.1131i	0.0267273	−	0.0318524i
$915$	−25.1221	−	1.84408i	−0.0274558	−	0.00201539i
$916$	682.988	+	248.587i	0.745620	+	0.271383i
$917$	533.032			0.581279
$918$	40.4298	+	7.09464i	0.0440412	+	0.00772837i
$919$	898.249			0.977420			0.488710	−	0.872446i	$-0.337468\pi$
$919$	898.249			0.977420			0.488710	+	0.872446i	$0.337468\pi$
$920$	49.7291	+	120.337i	0.0540534	+	0.130802i
$921$	361.629	−	1209.13i	0.392648	−	1.31284i
$922$	19.5777	−	23.3318i	0.0212340	−	0.0253057i
$923$	136.390	−	773.508i	0.147768	−	0.838036i
$924$	461.471	−	199.209i	0.499427	−	0.215594i
$925$	−347.039	+	242.147i	−0.375178	+	0.261781i
$926$	41.5772	−	24.0046i	0.0448998	−	0.0259229i
$927$	820.903	−	246.252i	0.885548	−	0.265644i
$928$	129.990	+	75.0499i	0.140076	+	0.0808727i
$929$	1597.84	−	281.743i	1.71996	−	0.303275i	0.775365	−	0.631514i	$-0.217566\pi$
$929$	1597.84	−	281.743i	1.71996	−	0.303275i	0.944595	+	0.328239i	$0.106455\pi$
$930$	−14.1317	+	55.8550i	−0.0151954	+	0.0600592i
$931$	−420.306	+	152.979i	−0.451456	+	0.164317i
$932$	−146.563	+	53.3447i	−0.157257	+	0.0572368i
$933$	−375.445	+	247.081i	−0.402406	+	0.264825i
$934$	−7.17331	−	40.6818i	−0.00768020	−	0.0435566i
$935$	126.001	+	570.581i	0.134760	+	0.610247i
$936$	9.61461	−	40.6664i	0.0102720	−	0.0434470i
$937$	249.240	−	143.899i	0.265998	−	0.153574i	−0.361070	−	0.932539i	$-0.617588\pi$
$937$	249.240	−	143.899i	0.265998	−	0.153574i	0.627067	+	0.778965i	$0.284255\pi$
$938$	49.9435	−	41.9076i	0.0532447	−	0.0446776i
$939$	509.731	+	1180.80i	0.542844	+	1.25751i
$940$	−489.018	+	310.972i	−0.520232	+	0.330821i
$941$	142.327	−	169.619i	0.151251	−	0.180254i	−0.685099	−	0.728450i	$-0.740241\pi$
$941$	142.327	−	169.619i	0.151251	−	0.180254i	0.836350	+	0.548196i	$0.184685\pi$
$942$	−6.17374	+	20.6423i	−0.00655386	+	0.0219132i
$943$	75.4516	−	207.302i	0.0800123	−	0.219832i
$944$			1211.78i			1.28367i
$945$	−302.055	−	729.235i	−0.319635	−	0.771677i
$946$	35.6409			0.0376754
$947$	−4.22902	−	1.53924i	−0.00446571	−	0.00162538i	0.339786	−	0.940503i	$-0.389645\pi$
$947$	−4.22902	−	1.53924i	−0.00446571	−	0.00162538i	−0.344252	+	0.938877i	$0.611867\pi$
$948$	105.481	−	99.5712i	0.111267	−	0.105033i
$949$	−207.562	−	174.165i	−0.218717	−	0.183525i
$950$	68.0620	+	18.3576i	0.0716442	+	0.0193238i
$951$	−497.669	−	370.289i	−0.523311	−	0.389368i
$952$	−45.6589	−	54.4141i	−0.0479610	−	0.0571577i
$953$	−282.561	−	489.410i	−0.296496	−	0.513546i	0.678836	−	0.734290i	$-0.262485\pi$
$953$	−282.561	−	489.410i	−0.296496	−	0.513546i	−0.975332	+	0.220744i	$0.929151\pi$
$954$	−34.1582	+	4.01147i	−0.0358052	+	0.00420490i
$955$	−161.885	−	733.076i	−0.169513	−	0.767619i
$956$	332.565	−	58.6401i	0.347871	−	0.0613390i
$957$	−722.012	+	42.2507i	−0.754453	+	0.0441491i
$958$	5.20686	+	14.3057i	0.00543513	+	0.0149329i
$959$	143.561	+	394.431i	0.149699	+	0.411294i
$960$	911.657	−	258.003i	0.949642	−	0.268753i
$961$	126.811	+	719.178i	0.131957	+	0.748365i
$962$	−4.91735	+	8.51710i	−0.00511159	+	0.00885354i
$963$	−36.1336	+	18.1718i	−0.0375219	+	0.0188700i
$964$	732.275	+	1268.34i	0.759621	+	1.31570i
$965$	115.705	−	873.301i	0.119902	−	0.904975i
$966$	56.7750	+	6.62029i	0.0587733	+	0.00685331i
$967$	1019.41	+	179.750i	1.05420	+	0.185884i	0.673782	−	0.738930i	$-0.264669\pi$
$967$	1019.41	+	179.750i	1.05420	+	0.185884i	0.380419	+	0.924814i	$0.375780\pi$
$968$	−39.7101	−	33.3207i	−0.0410228	−	0.0344222i
$969$	−340.388	−	1434.46i	−0.351278	−	1.48035i
$970$	−45.3216	+	18.7290i	−0.0467233	+	0.0193083i
$971$		−	1784.56i		−	1.83786i	−0.394422	−	0.918930i	$-0.629055\pi$
$971$		−	1784.56i		−	1.83786i	0.394422	−	0.918930i	$-0.370945\pi$
$972$	436.467	+	866.120i	0.449040	+	0.891070i
$973$			126.578i			0.130091i
$974$	8.61860	−	23.6794i	0.00884866	−	0.0243115i
$975$	−66.9846	−	461.731i	−0.0687021	−	0.473570i
$976$	−20.4483	−	17.1581i	−0.0209511	−	0.0175800i
$977$	85.1514	−	482.918i	0.0871560	−	0.494286i	−0.909714	−	0.415234i	$-0.863700\pi$
$977$	85.1514	−	482.918i	0.0871560	−	0.494286i	0.996870	−	0.0790520i	$-0.0251893\pi$
$978$	−51.8288	−	6.04354i	−0.0529947	−	0.00617949i
$979$	−83.3836	+	69.9671i	−0.0851722	+	0.0714680i
$980$	89.1378	−	281.898i	0.0909569	−	0.287651i
$981$	−268.858	+	135.210i	−0.274065	+	0.137828i
$982$	−11.7647	−	6.79234i	−0.0119803	−	0.00691684i
$983$	12.3760	+	70.1878i	0.0125900	+	0.0714016i	0.990455	−	0.137833i	$-0.0440138\pi$
$983$	12.3760	+	70.1878i	0.0125900	+	0.0714016i	−0.977865	+	0.209235i	$0.932903\pi$
$984$	12.6531	+	6.35029i	0.0128588	+	0.00645354i
$985$	−360.601	−	188.095i	−0.366092	−	0.190960i
$986$	17.4599	+	47.9706i	0.0177078	+	0.0486517i
$987$	29.7558	+	508.489i	0.0301477	+	0.515187i
$988$	−738.228	+	130.169i	−0.747194	+	0.131750i
$989$	−1606.04	−	927.245i	−1.62390	−	0.937558i
$990$	19.7367	−	22.8255i	0.0199361	−	0.0230561i
$991$	3.28351	+	5.68721i	0.00331333	+	0.00573886i	0.867677	−	0.497128i	$-0.165612\pi$
$991$	3.28351	+	5.68721i	0.00331333	+	0.00573886i	−0.864364	+	0.502867i	$0.832279\pi$
$992$	−140.824	+	118.165i	−0.141959	+	0.119118i
$993$	−767.043	−	570.716i	−0.772450	−	0.574739i
$994$	−11.9726	+	67.8999i	−0.0120448	+	0.0683097i
$995$	6.14772	+	143.523i	0.00617861	+	0.144244i
$996$	−741.175	+	699.646i	−0.744151	+	0.702456i
$997$	−170.362	+	468.067i	−0.170875	+	0.469475i	−0.995339	−	0.0964393i	$-0.969255\pi$
$997$	−170.362	+	468.067i	−0.170875	+	0.469475i	0.824464	+	0.565915i	$0.191477\pi$
$998$	−45.4234			−0.0455145
$999$	−79.7306	−	450.013i	−0.0798104	−	0.450464i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	135.3.n.a.104.17	yes	204
3.2	odd	2		405.3.n.a.179.18		204
5.4	even	2	inner	135.3.n.a.104.18	yes	204
15.14	odd	2		405.3.n.a.179.17		204
27.7	even	9		405.3.n.a.224.17		204
27.20	odd	18	inner	135.3.n.a.74.18	yes	204
135.34	even	18		405.3.n.a.224.18		204
135.74	odd	18	inner	135.3.n.a.74.17	✓	204

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
135.3.n.a.74.17	✓	204	135.74	odd	18	inner
135.3.n.a.74.18	yes	204	27.20	odd	18	inner
135.3.n.a.104.17	yes	204	1.1	even	1	trivial
135.3.n.a.104.18	yes	204	5.4	even	2	inner
405.3.n.a.179.17		204	15.14	odd	2
405.3.n.a.179.18		204	3.2	odd	2
405.3.n.a.224.17		204	27.7	even	9
405.3.n.a.224.18		204	135.34	even	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:	\( N \)	\(=\)	\( 135 = 3^{3} \cdot 5 \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	135.n (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.0877654 - 0.0319440i) q^{2} +(-0.692647 - 2.91895i) q^{3} +(-3.05750 - 2.56554i) q^{4} +(-4.21917 + 2.68302i) q^{5} +(-0.0324524 + 0.278308i) q^{6} +(3.75824 + 4.47890i) q^{7} +(0.373185 + 0.646375i) q^{8} +(-8.04048 + 4.04359i) q^{9} +O(q^{10})\)	\(q+(-0.0877654 - 0.0319440i) q^{2} +(-0.692647 - 2.91895i) q^{3} +(-3.05750 - 2.56554i) q^{4} +(-4.21917 + 2.68302i) q^{5} +(-0.0324524 + 0.278308i) q^{6} +(3.75824 + 4.47890i) q^{7} +(0.373185 + 0.646375i) q^{8} +(-8.04048 + 4.04359i) q^{9} +(0.456004 - 0.100699i) q^{10} +(-7.07052 + 1.24672i) q^{11} +(-5.37092 + 10.7017i) q^{12} +(2.12766 + 5.84570i) q^{13} +(-0.186770 - 0.513146i) q^{14} +(10.7540 + 10.4571i) q^{15} +(2.76021 + 15.6539i) q^{16} +(-8.13873 + 14.0967i) q^{17} +(0.834844 - 0.0980426i) q^{18} +(-15.0955 - 26.1461i) q^{19} +(19.7835 + 2.62116i) q^{20} +(10.4705 - 14.0724i) q^{21} +(0.660373 + 0.116442i) q^{22} +(-26.7281 - 22.4275i) q^{23} +(1.62825 - 1.53701i) q^{24} +(10.6028 - 22.6402i) q^{25} -0.581016i q^{26} +(17.3722 + 20.6689i) q^{27} -23.3362i q^{28} +(-11.4846 + 31.5538i) q^{29} +(-0.609784 - 1.26130i) q^{30} +(-31.5036 - 26.4347i) q^{31} +(0.776220 - 4.40216i) q^{32} +(8.53649 + 19.7749i) q^{33} +(1.16460 - 0.977218i) q^{34} +(-27.8736 - 8.81382i) q^{35} +(34.9578 + 8.26493i) q^{36} +(-14.6590 - 8.46337i) q^{37} +(0.489648 + 2.77693i) q^{38} +(15.5896 - 10.2595i) q^{39} +(-3.30876 - 1.72590i) q^{40} +(2.16249 + 5.94140i) q^{41} +(-1.36848 + 0.900599i) q^{42} +(52.3434 - 9.22956i) q^{43} +(24.8166 + 14.3279i) q^{44} +(23.0751 - 38.6334i) q^{45} +(1.62938 + 2.82216i) q^{46} +(-22.2454 + 18.6661i) q^{47} +(43.7811 - 18.8995i) q^{48} +(2.57261 - 14.5900i) q^{49} +(-1.65378 + 1.64833i) q^{50} +(46.7847 + 13.9925i) q^{51} +(8.49208 - 23.3318i) q^{52} -40.9156 q^{53} +(-0.864433 - 2.36896i) q^{54} +(26.4868 - 24.2305i) q^{55} +(-1.49253 + 4.10069i) q^{56} +(-65.8632 + 62.1728i) q^{57} +(2.01591 - 2.40246i) q^{58} +(75.0767 + 13.2381i) q^{59} +(-6.05197 - 59.5625i) q^{60} +(-1.28643 + 1.07944i) q^{61} +(1.92050 + 3.32640i) q^{62} +(-48.3289 - 20.8157i) q^{63} +(31.5820 - 54.7017i) q^{64} +(-24.6611 - 18.9555i) q^{65} +(-0.117518 - 2.00824i) q^{66} +(40.8340 + 112.190i) q^{67} +(61.0498 - 22.2203i) q^{68} +(-46.9516 + 93.5521i) q^{69} +(2.16479 + 1.66394i) q^{70} +(-109.344 - 63.1295i) q^{71} +(-5.61426 - 3.68816i) q^{72} +(-37.7202 + 21.7778i) q^{73} +(1.01620 + 1.21106i) q^{74} +(-73.4296 - 15.2674i) q^{75} +(-20.9247 + 118.670i) q^{76} +(-32.1567 - 26.9827i) q^{77} +(-1.69595 + 0.402439i) q^{78} +(-11.3837 - 4.14333i) q^{79} +(-53.6455 - 58.6409i) q^{80} +(48.2987 - 65.0249i) q^{81} -0.590528i q^{82} +(79.9886 + 29.1135i) q^{83} +(-68.1170 + 16.1637i) q^{84} +(-3.48297 - 81.3127i) q^{85} +(-4.88877 - 0.862022i) q^{86} +(100.058 + 11.6674i) q^{87} +(-3.44446 - 4.10495i) q^{88} +(13.1298 - 7.58047i) q^{89} +(-3.25930 + 2.65356i) q^{90} +(-18.1860 + 31.4991i) q^{91} +(24.1822 + 137.144i) q^{92} +(-55.3405 + 110.267i) q^{93} +(2.54864 - 0.927630i) q^{94} +(133.841 + 69.8135i) q^{95} +(-13.3873 + 0.783399i) q^{96} +(-103.416 + 18.2349i) q^{97} +(-0.691848 + 1.19832i) q^{98} +(51.8092 - 38.6146i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 204 q - 12 q^{4} + 3 q^{5} - 24 q^{6} - 18 q^{9}+O(q^{10}) \) 204 * q - 12 * q^4 + 3 * q^5 - 24 * q^6 - 18 * q^9	\( 204 q - 12 q^{4} + 3 q^{5} - 24 q^{6} - 18 q^{9} - 3 q^{10} + 6 q^{11} - 48 q^{14} - 3 q^{15} + 12 q^{16} - 6 q^{19} + 63 q^{20} - 192 q^{21} + 42 q^{24} - 15 q^{25} + 96 q^{29} - 177 q^{30} - 102 q^{31} + 12 q^{34} - 252 q^{35} + 324 q^{36} - 258 q^{39} + 117 q^{40} + 96 q^{41} - 666 q^{44} - 279 q^{45} - 6 q^{46} + 60 q^{49} + 48 q^{50} + 270 q^{51} + 432 q^{54} - 12 q^{55} + 294 q^{56} + 510 q^{59} + 390 q^{60} + 132 q^{61} - 486 q^{64} + 147 q^{65} - 186 q^{66} - 84 q^{69} - 141 q^{70} - 18 q^{71} - 954 q^{74} - 285 q^{75} + 84 q^{76} - 48 q^{79} - 1026 q^{81} + 198 q^{84} + 69 q^{85} - 1506 q^{86} + 792 q^{89} - 180 q^{90} - 6 q^{91} + 492 q^{94} - 543 q^{95} + 654 q^{96} + 792 q^{99}+O(q^{100}) \) 204 * q - 12 * q^4 + 3 * q^5 - 24 * q^6 - 18 * q^9 - 3 * q^10 + 6 * q^11 - 48 * q^14 - 3 * q^15 + 12 * q^16 - 6 * q^19 + 63 * q^20 - 192 * q^21 + 42 * q^24 - 15 * q^25 + 96 * q^29 - 177 * q^30 - 102 * q^31 + 12 * q^34 - 252 * q^35 + 324 * q^36 - 258 * q^39 + 117 * q^40 + 96 * q^41 - 666 * q^44 - 279 * q^45 - 6 * q^46 + 60 * q^49 + 48 * q^50 + 270 * q^51 + 432 * q^54 - 12 * q^55 + 294 * q^56 + 510 * q^59 + 390 * q^60 + 132 * q^61 - 486 * q^64 + 147 * q^65 - 186 * q^66 - 84 * q^69 - 141 * q^70 - 18 * q^71 - 954 * q^74 - 285 * q^75 + 84 * q^76 - 48 * q^79 - 1026 * q^81 + 198 * q^84 + 69 * q^85 - 1506 * q^86 + 792 * q^89 - 180 * q^90 - 6 * q^91 + 492 * q^94 - 543 * q^95 + 654 * q^96 + 792 * q^99

Introduction

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