LMFDB - Embedded newform 108.3.j.a.31.10

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			31.10
Character	$\chi$	$=$	108.31
Dual form			108.3.j.a.7.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.20427 + 1.59678i) q^{2} +(-0.204519 + 2.99302i) q^{3} +(-1.09944 - 3.84594i) q^{4} +(1.50670 - 8.54492i) q^{5} +(-4.53291 - 3.93099i) q^{6} +(-7.53806 - 8.98351i) q^{7} +(7.46516 + 2.87599i) q^{8} +(-8.91634 - 1.22426i) q^{9} +O(q^{10})$	\(q+(-1.20427 + 1.59678i) q^{2} +(-0.204519 + 2.99302i) q^{3} +(-1.09944 - 3.84594i) q^{4} +(1.50670 - 8.54492i) q^{5} +(-4.53291 - 3.93099i) q^{6} +(-7.53806 - 8.98351i) q^{7} +(7.46516 + 2.87599i) q^{8} +(-8.91634 - 1.22426i) q^{9} +(11.8299 + 12.6963i) q^{10} +(2.27133 - 0.400497i) q^{11} +(11.7358 - 2.50409i) q^{12} +(-4.42594 + 1.61091i) q^{13} +(23.4226 - 1.21804i) q^{14} +(25.2670 + 6.25718i) q^{15} +(-13.5824 + 8.45678i) q^{16} +(6.77412 - 11.7331i) q^{17} +(12.6926 - 12.7631i) q^{18} +(-13.9009 + 8.02568i) q^{19} +(-34.5197 + 3.59998i) q^{20} +(28.4295 - 20.7243i) q^{21} +(-2.09580 + 4.10914i) q^{22} +(3.20904 - 3.82439i) q^{23} +(-10.1347 + 21.7552i) q^{24} +(-47.2531 - 17.1987i) q^{25} +(2.75777 - 9.00726i) q^{26} +(5.48779 - 26.4364i) q^{27} +(-26.2623 + 38.8678i) q^{28} +(34.0967 + 12.4102i) q^{29} +(-40.4197 + 32.8105i) q^{30} +(0.283047 - 0.337322i) q^{31} +(2.85334 - 31.8725i) q^{32} +(0.734166 + 6.88006i) q^{33} +(10.5774 + 24.9467i) q^{34} +(-88.1209 + 50.8766i) q^{35} +(5.09460 + 35.6377i) q^{36} +(18.9267 - 32.7821i) q^{37} +(3.92521 - 31.8619i) q^{38} +(-3.91630 - 13.5764i) q^{39} +(35.8228 - 59.4560i) q^{40} +(2.35960 - 0.858824i) q^{41} +(-1.14474 + 70.3535i) q^{42} +(17.5866 - 3.10099i) q^{43} +(-4.03749 - 8.29508i) q^{44} +(-23.8954 + 74.3448i) q^{45} +(2.24216 + 9.72977i) q^{46} +(-5.64102 - 6.72271i) q^{47} +(-22.5334 - 42.3821i) q^{48} +(-15.3723 + 87.1809i) q^{49} +(84.3684 - 54.7411i) q^{50} +(33.7320 + 22.6747i) q^{51} +(11.0615 + 15.2508i) q^{52} -41.4639 q^{53} +(35.6045 + 40.5995i) q^{54} -20.0118i q^{55} +(-30.4364 - 88.7428i) q^{56} +(-21.1780 - 43.2471i) q^{57} +(-60.8781 + 39.4998i) q^{58} +(-25.5867 - 4.51163i) q^{59} +(-3.71489 - 104.055i) q^{60} +(51.1770 - 42.9426i) q^{61} +(0.197764 + 0.858193i) q^{62} +(56.2138 + 89.3286i) q^{63} +(47.4574 + 42.9395i) q^{64} +(7.09654 + 40.2465i) q^{65} +(-11.8701 - 7.11317i) q^{66} +(-32.3784 - 88.9589i) q^{67} +(-52.5726 - 13.1529i) q^{68} +(10.7902 + 10.3869i) q^{69} +(24.8828 - 201.980i) q^{70} +(100.208 + 57.8552i) q^{71} +(-63.0410 - 34.7826i) q^{72} +(22.5335 + 39.0292i) q^{73} +(29.5529 + 69.7005i) q^{74} +(61.1403 - 137.912i) q^{75} +(46.1495 + 44.6382i) q^{76} +(-20.7193 - 17.3856i) q^{77} +(26.3949 + 10.0962i) q^{78} +(19.8334 - 54.4917i) q^{79} +(51.7978 + 128.803i) q^{80} +(78.0024 + 21.8318i) q^{81} +(-1.47025 + 4.80203i) q^{82} +(22.8909 - 62.8923i) q^{83} +(-110.961 - 86.5529i) q^{84} +(-90.0519 - 75.5626i) q^{85} +(-16.2275 + 31.8164i) q^{86} +(-44.1173 + 99.5139i) q^{87} +(18.1077 + 3.54255i) q^{88} +(54.3190 + 94.0833i) q^{89} +(-89.9360 - 127.687i) q^{90} +(47.8347 + 27.6174i) q^{91} +(-18.2365 - 8.13708i) q^{92} +(0.951723 + 0.916153i) q^{93} +(17.5281 - 0.911509i) q^{94} +(47.6343 + 130.874i) q^{95} +(94.8116 + 15.0586i) q^{96} +(30.2853 + 171.757i) q^{97} +(-120.697 - 129.536i) q^{98} +(-20.7423 + 0.790274i) 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 $\left(\mathbb{Z}/108\mathbb{Z}\right)^\times$.

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

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 $

$2$	−1.20427	+	1.59678i	−0.602137	+	0.798392i
$2$	−1.20427	+	1.59678i	−0.602137	+	0.798392i
$3$	−0.204519	+	2.99302i	−0.0681730	+	0.997674i
$3$	−0.204519	+	2.99302i	−0.0681730	+	0.997674i
$4$	−1.09944	−	3.84594i	−0.274861	−	0.961484i
$5$	1.50670	−	8.54492i	0.301340	−	1.70898i	−0.338912	−	0.940818i	$-0.610059\pi$
$5$	1.50670	−	8.54492i	0.301340	−	1.70898i	0.640252	−	0.768165i	$-0.278830\pi$
$6$	−4.53291	−	3.93099i	−0.755485	−	0.655165i
$7$	−7.53806	−	8.98351i	−1.07687	−	1.28336i	−0.956849	−	0.290587i	$-0.906150\pi$
$7$	−7.53806	−	8.98351i	−1.07687	−	1.28336i	−0.120017	−	0.992772i	$-0.538295\pi$
$8$	7.46516	+	2.87599i	0.933146	+	0.359499i
$9$	−8.91634	−	1.22426i	−0.990705	−	0.136029i
$10$	11.8299	+	12.6963i	1.18299	+	1.26963i
$11$	2.27133	−	0.400497i	0.206485	−	0.0364089i	−0.0694489	−	0.997586i	$-0.522124\pi$
$11$	2.27133	−	0.400497i	0.206485	−	0.0364089i	0.275934	+	0.961177i	$0.411013\pi$
$12$	11.7358	−	2.50409i	0.977985	−	0.208674i
$13$	−4.42594	+	1.61091i	−0.340457	+	0.123916i	−0.506590	−	0.862187i	$-0.669094\pi$
$13$	−4.42594	+	1.61091i	−0.340457	+	0.123916i	0.166133	+	0.986103i	$0.446872\pi$
$14$	23.4226	−	1.21804i	1.67304	−	0.0870031i
$15$	25.2670	+	6.25718i	1.68446	+	0.417145i
$16$	−13.5824	+	8.45678i	−0.848903	+	0.528549i
$17$	6.77412	−	11.7331i	0.398478	−	0.690183i	−0.595061	−	0.803681i	$-0.702872\pi$
$17$	6.77412	−	11.7331i	0.398478	−	0.690183i	0.993538	+	0.113497i	$0.0362053\pi$
$18$	12.6926	−	12.7631i	0.705145	−	0.709063i
$19$	−13.9009	+	8.02568i	−0.731626	+	0.422404i	−0.819017	−	0.573770i	$-0.805480\pi$
$19$	−13.9009	+	8.02568i	−0.731626	+	0.422404i	0.0873908	+	0.996174i	$0.472147\pi$
$20$	−34.5197	+	3.59998i	−1.72599	+	0.179999i
$21$	28.4295	−	20.7243i	1.35379	−	0.986870i
$22$	−2.09580	+	4.10914i	−0.0952637	+	0.186779i
$23$	3.20904	−	3.82439i	0.139524	−	0.166278i	−0.691758	−	0.722130i	$-0.743163\pi$
$23$	3.20904	−	3.82439i	0.139524	−	0.166278i	0.831281	+	0.555852i	$0.187608\pi$
$24$	−10.1347	+	21.7552i	−0.422278	+	0.906467i
$25$	−47.2531	−	17.1987i	−1.89013	−	0.687949i
$26$	2.75777	−	9.00726i	0.106068	−	0.346433i
$27$	5.48779	−	26.4364i	0.203252	−	0.979127i
$28$	−26.2623	+	38.8678i	−0.937940	+	1.38813i
$29$	34.0967	+	12.4102i	1.17575	+	0.427937i	0.854698	−	0.519126i	$-0.173742\pi$
$29$	34.0967	+	12.4102i	1.17575	+	0.427937i	0.321049	+	0.947063i	$0.395965\pi$
$30$	−40.4197	+	32.8105i	−1.34732	+	1.09368i
$31$	0.283047	−	0.337322i	0.00913054	−	0.0108813i	−0.761460	−	0.648212i	$-0.775517\pi$
$31$	0.283047	−	0.337322i	0.00913054	−	0.0108813i	0.770590	+	0.637331i	$0.219961\pi$
$32$	2.85334	−	31.8725i	0.0891670	−	0.996017i
$33$	0.734166	+	6.88006i	0.0222475	+	0.208487i
$34$	10.5774	+	24.9467i	0.311099	+	0.733727i
$35$	−88.1209	+	50.8766i	−2.51774	+	1.45362i
$36$	5.09460	+	35.6377i	0.141517	+	0.989936i
$37$	18.9267	−	32.7821i	0.511533	−	0.886002i	−0.488377	−	0.872633i	$-0.662411\pi$
$37$	18.9267	−	32.7821i	0.511533	−	0.886002i	0.999911	−	0.0133691i	$-0.00425565\pi$
$38$	3.92521	−	31.8619i	0.103295	−	0.838470i
$39$	−3.91630	−	13.5764i	−0.100418	−	0.348113i
$40$	35.8228	−	59.4560i	0.895571	−	1.48640i
$41$	2.35960	−	0.858824i	0.0575512	−	0.0209469i	−0.313084	−	0.949725i	$-0.601362\pi$
$41$	2.35960	−	0.858824i	0.0575512	−	0.0209469i	0.370635	+	0.928778i	$0.379140\pi$
$42$	−1.14474	+	70.3535i	−0.0272557	+	1.67508i
$43$	17.5866	−	3.10099i	0.408990	−	0.0721160i	0.0346317	−	0.999400i	$-0.488974\pi$
$43$	17.5866	−	3.10099i	0.408990	−	0.0721160i	0.374358	+	0.927284i	$0.377863\pi$
$44$	−4.03749	−	8.29508i	−0.0917611	−	0.188525i
$45$	−23.8954	+	74.3448i	−0.531010	+	1.65211i
$46$	2.24216	+	9.72977i	0.0487425	+	0.211517i
$47$	−5.64102	−	6.72271i	−0.120022	−	0.143036i	0.702688	−	0.711498i	$-0.251983\pi$
$47$	−5.64102	−	6.72271i	−0.120022	−	0.143036i	−0.822710	+	0.568462i	$0.807539\pi$
$48$	−22.5334	−	42.3821i	−0.469447	−	0.882961i
$49$	−15.3723	+	87.1809i	−0.313721	+	1.77920i
$50$	84.3684	−	54.7411i	1.68737	−	1.09482i
$51$	33.7320	+	22.6747i	0.661412	+	0.444602i
$52$	11.0615	+	15.2508i	0.212722	+	0.293284i
$53$	−41.4639			−0.782338			−0.391169	−	0.920319i	$-0.627929\pi$
$53$	−41.4639			−0.782338			−0.391169	+	0.920319i	$0.627929\pi$
$54$	35.6045	+	40.5995i	0.659342	+	0.751843i
$55$		−	20.0118i		−	0.363851i
$56$	−30.4364	−	88.7428i	−0.543507	−	1.58469i
$57$	−21.1780	−	43.2471i	−0.371545	−	0.758720i
$58$	−60.8781	+	39.4998i	−1.04962	+	0.681030i
$59$	−25.5867	−	4.51163i	−0.433674	−	0.0764684i	−0.0474502	−	0.998874i	$-0.515110\pi$
$59$	−25.5867	−	4.51163i	−0.433674	−	0.0764684i	−0.386224	+	0.922405i	$0.626221\pi$
$60$	−3.71489	−	104.055i	−0.0619149	−	1.73424i
$61$	51.1770	−	42.9426i	0.838967	−	0.703977i	−0.118364	−	0.992970i	$-0.537765\pi$
$61$	51.1770	−	42.9426i	0.838967	−	0.703977i	0.957331	+	0.288993i	$0.0933206\pi$
$62$	0.197764	+	0.858193i	0.00318975	+	0.0138418i
$63$	56.2138	+	89.3286i	0.892282	+	1.41791i
$64$	47.4574	+	42.9395i	0.741521	+	0.670929i
$65$	7.09654	+	40.2465i	0.109178	+	0.619177i
$66$	−11.8701	−	7.11317i	−0.179850	−	0.107775i
$67$	−32.3784	−	88.9589i	−0.483260	−	1.32775i	−0.906683	−	0.421813i	$-0.861394\pi$
$67$	−32.3784	−	88.9589i	−0.483260	−	1.32775i	0.423423	−	0.905932i	$-0.360828\pi$
$68$	−52.5726	−	13.1529i	−0.773126	−	0.193425i
$69$	10.7902	+	10.3869i	0.156379	+	0.150535i
$70$	24.8828	−	201.980i	0.355468	−	2.88542i
$71$	100.208	+	57.8552i	1.41138	+	0.814862i	0.995519	−	0.0945652i	$-0.0301461\pi$
$71$	100.208	+	57.8552i	1.41138	+	0.814862i	0.415863	+	0.909427i	$0.363479\pi$
$72$	−63.0410	−	34.7826i	−0.875570	−	0.483092i
$73$	22.5335	+	39.0292i	0.308678	+	0.534646i	0.978073	−	0.208260i	$-0.0667801\pi$
$73$	22.5335	+	39.0292i	0.308678	+	0.534646i	−0.669395	+	0.742906i	$0.733447\pi$
$74$	29.5529	+	69.7005i	0.399364	+	0.941899i
$75$	61.1403	−	137.912i	0.815204	−	1.83883i
$76$	46.1495	+	44.6382i	0.607230	+	0.587344i
$77$	−20.7193	−	17.3856i	−0.269082	−	0.225787i
$78$	26.3949	+	10.0962i	0.338396	+	0.129439i
$79$	19.8334	−	54.4917i	0.251055	−	0.689769i	−0.748587	−	0.663036i	$-0.769267\pi$
$79$	19.8334	−	54.4917i	0.251055	−	0.689769i	0.999643	−	0.0267327i	$-0.00851028\pi$
$80$	51.7978	+	128.803i	0.647473	+	1.61003i
$81$	78.0024	+	21.8318i	0.962992	+	0.269529i
$82$	−1.47025	+	4.80203i	−0.0179299	+	0.0585614i
$83$	22.8909	−	62.8923i	0.275794	−	0.757738i	−0.722033	−	0.691858i	$-0.756792\pi$
$83$	22.8909	−	62.8923i	0.275794	−	0.757738i	0.997828	−	0.0658799i	$-0.0209854\pi$
$84$	−110.961	−	86.5529i	−1.32096	−	1.03039i
$85$	−90.0519	−	75.5626i	−1.05943	−	0.888971i
$86$	−16.2275	+	31.8164i	−0.188691	+	0.369958i
$87$	−44.1173	+	99.5139i	−0.507095	+	1.14384i
$88$	18.1077	+	3.54255i	0.205769	+	0.0402563i
$89$	54.3190	+	94.0833i	0.610326	+	1.05712i	0.991185	+	0.132482i	$0.0422948\pi$
$89$	54.3190	+	94.0833i	0.610326	+	1.05712i	−0.380860	+	0.924633i	$0.624372\pi$
$90$	−89.9360	−	127.687i	−0.999289	−	1.41875i
$91$	47.8347	+	27.6174i	0.525656	+	0.303487i
$92$	−18.2365	−	8.13708i	−0.198223	−	0.0884465i
$93$	0.951723	+	0.916153i	0.0102336	+	0.00985111i
$94$	17.5281	−	0.911509i	0.186469	−	0.00969691i
$95$	47.6343	+	130.874i	0.501414	+	1.37762i
$96$	94.8116	+	15.0586i	0.987621	+	0.156861i
$97$	30.2853	+	171.757i	0.312220	+	1.77069i	0.587403	+	0.809295i	$0.300150\pi$
$97$	30.2853	+	171.757i	0.312220	+	1.77069i	−0.275183	+	0.961392i	$0.588738\pi$
$98$	−120.697	−	129.536i	−1.23160	−	1.32180i
$99$	−20.7423	+	0.790274i	−0.209518	+	0.00798256i
$100$	−14.1931	+	200.642i	−0.141931	+	2.00642i
$101$	−57.1968	+	47.9938i	−0.566305	+	0.475186i	−0.880417	−	0.474200i	$-0.842738\pi$
$101$	−57.1968	+	47.9938i	−0.566305	+	0.475186i	0.314112	+	0.949386i	$0.398293\pi$
$102$	−76.8293	+	26.5562i	−0.753228	+	0.260355i
$103$	−137.158	−	24.1847i	−1.33163	−	0.234803i	−0.537868	−	0.843029i	$-0.680770\pi$
$103$	−137.158	−	24.1847i	−1.33163	−	0.234803i	−0.793764	+	0.608226i	$0.791881\pi$
$104$	−37.6734	−	0.703246i	−0.362244	−	0.00676198i
$105$	−134.252	−	274.153i	−1.27859	−	2.61098i
$106$	49.9340	−	66.2090i	0.471075	−	0.624613i
$107$		−	28.1004i		−	0.262621i	−0.991341	−	0.131310i	$-0.958082\pi$
$107$		−	28.1004i		−	0.262621i	0.991341	−	0.131310i	$-0.0419185\pi$
$108$	−107.706	+	7.95966i	−0.997280	+	0.0737005i
$109$	12.7869			0.117311			0.0586555	−	0.998278i	$-0.481319\pi$
$109$	12.7869			0.117311			0.0586555	+	0.998278i	$0.481319\pi$
$110$	31.9545	+	24.0997i	0.290496	+	0.219088i
$111$	94.2465	+	63.3526i	0.849068	+	0.570745i
$112$	178.357	+	58.2703i	1.59247	+	0.520271i
$113$	36.5416	−	207.238i	0.323377	−	1.83396i	−0.197465	−	0.980310i	$-0.563271\pi$
$113$	36.5416	−	207.238i	0.323377	−	1.83396i	0.520842	−	0.853653i	$-0.325618\pi$
$114$	94.5604	+	18.2646i	0.829478	+	0.160216i
$115$	−27.8440	−	33.1832i	−0.242122	−	0.288550i
$116$	10.2414	−	144.778i	0.0882876	−	1.24808i
$117$	41.4354	−	8.94495i	0.354149	−	0.0764525i
$118$	38.0176	−	35.4233i	0.322183	−	0.300197i
$119$	−156.468	+	27.5896i	−1.31486	+	0.231845i
$120$	170.626	+	119.378i	1.42189	+	0.994820i
$121$	−108.704	+	39.5651i	−0.898382	+	0.326984i
$122$	6.93891	+	133.433i	0.0568763	+	1.09372i
$123$	2.08790	+	7.23798i	0.0169748	+	0.0588453i
$124$	−1.60851	−	0.717713i	−0.0129719	−	0.00578801i
$125$	−109.699	+	190.004i	−0.877590	+	1.52003i
$126$	−210.335	−	17.8149i	−1.66933	−	0.141388i
$127$	−96.5648	+	55.7517i	−0.760353	+	0.438990i	−0.829422	−	0.558622i	$-0.811330\pi$
$127$	−96.5648	+	55.7517i	−0.760353	+	0.438990i	0.0690695	+	0.997612i	$0.477997\pi$
$128$	−125.717	+	24.0683i	−0.982163	+	0.188033i
$129$	5.68453	+	53.2712i	0.0440661	+	0.412955i
$130$	−72.8112	−	37.1362i	−0.560086	−	0.285663i
$131$	10.1474	−	12.0932i	0.0774612	−	0.0923146i	−0.725922	−	0.687777i	$-0.758587\pi$
$131$	10.1474	−	12.0932i	0.0774612	−	0.0923146i	0.803383	+	0.595462i	$0.203031\pi$
$132$	25.6531	−	10.3878i	0.194342	−	0.0786954i
$133$	176.885	+	64.3807i	1.32996	+	0.484066i
$134$	181.041	+	55.4297i	1.35105	+	0.413654i
$135$	−217.629	−	86.7244i	−1.61206	−	0.642403i
$136$	84.3142	−	68.1074i	0.619958	−	0.500789i
$137$	99.8901	+	36.3570i	0.729125	+	0.265380i	0.679794	−	0.733403i	$-0.262069\pi$
$137$	99.8901	+	36.3570i	0.729125	+	0.265380i	0.0493306	+	0.998783i	$0.484291\pi$
$138$	−29.5800	+	4.72090i	−0.214348	+	0.0342094i
$139$	36.3183	−	43.2824i	0.261283	−	0.311385i	−0.619415	−	0.785064i	$-0.712630\pi$
$139$	36.3183	−	43.2824i	0.261283	−	0.311385i	0.880697	+	0.473679i	$0.157074\pi$
$140$	292.552	+	282.971i	2.08966	+	2.02122i
$141$	21.2749	−	15.5088i	0.150886	−	0.109991i
$142$	−213.060	+	90.3373i	−1.50043	+	0.636178i
$143$	−9.40763	+	5.43150i	−0.0657876	+	0.0379825i
$144$	131.459	−	58.7751i	0.912910	−	0.408161i
$145$	157.417	−	272.655i	1.08564	−	1.88038i
$146$	−89.4577	−	11.0207i	−0.612724	−	0.0754842i
$147$	−257.790	−	63.8399i	−1.75368	−	0.434285i
$148$	−146.887	−	36.7490i	−0.992477	−	0.248304i
$149$	110.073	−	40.0635i	0.738748	−	0.268882i	0.0548851	−	0.998493i	$-0.482521\pi$
$149$	110.073	−	40.0635i	0.738748	−	0.268882i	0.683863	+	0.729610i	$0.260299\pi$
$150$	146.586	+	263.712i	0.977242	+	1.75808i
$151$	244.777	−	43.1607i	1.62104	−	0.285832i	0.711884	−	0.702297i	$-0.247842\pi$
$151$	244.777	−	43.1607i	1.62104	−	0.285832i	0.909152	+	0.416464i	$0.136731\pi$
$152$	−126.854	+	19.9342i	−0.834567	+	0.131146i
$153$	−74.7647	+	96.3232i	−0.488658	+	0.629564i
$154$	52.7128	−	12.1473i	0.342291	−	0.0788785i
$155$	−2.45592	−	2.92685i	−0.0158446	−	0.0188829i
$156$	−47.9082	+	29.9883i	−0.307104	+	0.192233i
$157$	32.2061	−	182.650i	0.205134	−	1.16337i	−0.692094	−	0.721807i	$-0.743312\pi$
$157$	32.2061	−	182.650i	0.205134	−	1.16337i	0.897228	−	0.441567i	$-0.145577\pi$
$158$	63.1268	+	97.2927i	0.399536	+	0.615776i
$159$	8.48016	−	124.102i	0.0533343	−	0.780518i
$160$	−268.049	−	72.4039i	−1.67531	−	0.452524i
$161$	−58.5464			−0.363642
$162$	−128.797	+	98.2615i	−0.795043	+	0.606553i
$163$			3.07052i			0.0188375i	0.999956	+	0.00941877i	$0.00299813\pi$
$163$			3.07052i			0.0188375i	−0.999956	+	0.00941877i	$0.997002\pi$
$164$	−5.89723	−	8.13064i	−0.0359587	−	0.0495771i
$165$	59.8957	+	4.09279i	0.363004	+	0.0248048i
$166$	72.8584	+	112.291i	0.438906	+	0.676454i
$167$	90.6052	+	15.9761i	0.542546	+	0.0956655i	0.438203	−	0.898876i	$-0.355615\pi$
$167$	90.6052	+	15.9761i	0.542546	+	0.0956655i	0.104343	+	0.994541i	$0.466726\pi$
$168$	271.834	−	72.9471i	1.61806	−	0.434209i
$169$	−112.468	+	94.3715i	−0.665489	+	0.558411i
$170$	229.104	−	52.7955i	1.34767	−	0.310562i
$171$	133.771	−	54.5415i	0.782285	−	0.318956i
$172$	−31.2616	−	64.2274i	−0.181754	−	0.373415i
$173$	−49.4146	−	280.244i	−0.285633	−	1.61991i	−0.703014	−	0.711176i	$-0.748163\pi$
$173$	−49.4146	−	280.244i	−0.285633	−	1.61991i	0.417381	−	0.908732i	$-0.362948\pi$
$174$	−105.773	−	190.288i	−0.607890	−	1.09361i
$175$	201.692	+	554.144i	1.15253	+	3.16654i
$176$	−27.4633	+	24.6479i	−0.156042	+	0.140045i
$177$	18.7364	−	75.6590i	0.105855	−	0.427452i
$178$	−215.646	−	26.5664i	−1.21149	−	0.149249i
$179$	37.3404	+	21.5585i	0.208606	+	0.120438i	0.600663	−	0.799502i	$-0.294903\pi$
$179$	37.3404	+	21.5585i	0.208606	+	0.120438i	−0.392058	+	0.919941i	$0.628237\pi$
$180$	312.197	+	10.1624i	1.73443	+	0.0564576i
$181$	−52.2292	−	90.4636i	−0.288559	−	0.499799i	0.684907	−	0.728630i	$-0.259843\pi$
$181$	−52.2292	−	90.4636i	−0.288559	−	0.499799i	−0.973466	+	0.228832i	$0.926509\pi$
$182$	−101.705	+	43.1228i	−0.558819	+	0.236938i
$183$	118.061	+	161.956i	0.645144	+	0.885007i
$184$	34.9550	−	19.3205i	0.189973	−	0.105003i
$185$	−251.603	−	211.120i	−1.36002	−	1.14119i
$186$	−2.60904	+	0.416396i	−0.0140271	+	0.00223869i
$187$	10.6872	−	29.3628i	0.0571508	−	0.157021i
$188$	−19.6531	+	29.0863i	−0.104538	+	0.154714i
$189$	−278.859	+	149.980i	−1.47544	+	0.793543i
$190$	−266.343	−	81.5468i	−1.40180	−	0.429194i
$191$	86.7947	−	238.466i	0.454422	−	1.24852i	−0.475160	−	0.879900i	$-0.657610\pi$
$191$	86.7947	−	238.466i	0.454422	−	1.24852i	0.929582	−	0.368616i	$-0.120168\pi$
$192$	−138.225	+	133.259i	−0.719920	+	0.694057i
$193$	−0.204011	−	0.171186i	−0.00105705	−	0.000886973i	0.642259	−	0.766488i	$-0.277997\pi$
$193$	−0.204011	−	0.171186i	−0.00105705	−	0.000886973i	−0.643316	+	0.765601i	$0.722442\pi$
$194$	−310.730	−	158.483i	−1.60170	−	0.816923i
$195$	−121.910	+	13.0089i	−0.625179	+	0.0667124i
$196$	352.193	−	36.7294i	1.79690	−	0.187395i
$197$	25.6282	+	44.3894i	0.130093	+	0.225327i	0.923712	−	0.383087i	$-0.125139\pi$
$197$	25.6282	+	44.3894i	0.130093	+	0.225327i	−0.793620	+	0.608414i	$0.791806\pi$
$198$	23.7175	−	34.0727i	0.119786	−	0.172084i
$199$	−86.0717	−	49.6935i	−0.432521	−	0.249716i	0.267899	−	0.963447i	$-0.413671\pi$
$199$	−86.0717	−	49.6935i	−0.432521	−	0.249716i	−0.700420	+	0.713731i	$0.747004\pi$
$200$	−303.289	−	264.291i	−1.51645	−	1.32145i
$201$	272.878	−	78.7154i	1.35760	−	0.391619i
$202$	−7.75512	−	149.129i	−0.0383917	−	0.738261i
$203$	−145.536	−	399.856i	−0.716925	−	1.96974i
$204$	50.1191	−	154.661i	0.245682	−	0.758141i
$205$	−3.78337	−	21.4566i	−0.0184555	−	0.104666i
$206$	203.794	−	189.887i	0.989290	−	0.921782i
$207$	−33.2950	+	30.1709i	−0.160845	+	0.145753i
$208$	46.4920	−	59.3094i	0.223519	−	0.285141i
$209$	−28.3593	+	23.7963i	−0.135690	+	0.113858i
$210$	599.440	+	115.783i	2.85448	+	0.551349i
$211$	−100.532	−	17.7265i	−0.476456	−	0.0840120i	−0.0697369	−	0.997565i	$-0.522216\pi$
$211$	−100.532	−	17.7265i	−0.476456	−	0.0840120i	−0.406719	+	0.913553i	$0.633327\pi$
$212$	45.5873	+	159.468i	0.215034	+	0.752206i
$213$	−193.656	+	288.093i	−0.909184	+	1.35255i
$214$	44.8704	+	33.8407i	0.209675	+	0.158134i
$215$		−	154.948i		−	0.720688i
$216$	116.998	−	181.569i	0.541658	−	0.840599i
$217$	−5.16396			−0.0237970
$218$	−15.3989	+	20.4179i	−0.0706373	+	0.0936601i
$219$	−121.424	+	59.4610i	−0.554446	+	0.271512i
$220$	−76.9640	+	22.0018i	−0.349837	+	0.100008i
$221$	−11.0809	+	62.8426i	−0.0501396	+	0.284356i
$222$	−214.659	+	74.1974i	−0.966934	+	0.334222i
$223$	211.508	+	252.065i	0.948464	+	1.13034i	0.991349	+	0.131256i	$0.0419009\pi$
$223$	211.508	+	252.065i	0.948464	+	1.13034i	−0.0428842	+	0.999080i	$0.513655\pi$
$224$	−307.836	+	214.624i	−1.37427	+	0.958143i
$225$	400.269	+	211.200i	1.77898	+	0.938666i
$226$	286.908	+	307.920i	1.26950	+	1.36248i
$227$	339.879	−	59.9299i	1.49727	−	0.264008i	0.635812	−	0.771844i	$-0.280665\pi$
$227$	339.879	−	59.9299i	1.49727	−	0.264008i	0.861454	+	0.507836i	$0.169554\pi$
$228$	−143.041	+	128.997i	−0.627374	+	0.565777i
$229$	−273.587	+	99.5776i	−1.19470	+	0.434837i	−0.861373	−	0.507973i	$-0.830395\pi$
$229$	−273.587	+	99.5776i	−1.19470	+	0.434837i	−0.333331	+	0.942810i	$0.608173\pi$
$230$	86.5183	−	4.49920i	0.376167	−	0.0195617i
$231$	56.2729	−	58.4577i	0.243605	−	0.253064i
$232$	218.846	+	190.706i	0.943300	+	0.822007i
$233$	49.5426	−	85.8104i	0.212629	−	0.368285i	−0.739907	−	0.672709i	$-0.765131\pi$
$233$	49.5426	−	85.8104i	0.212629	−	0.368285i	0.952537	+	0.304424i	$0.0984640\pi$
$234$	−35.6165	+	76.9356i	−0.152207	+	0.328785i
$235$	−65.9443	+	38.0730i	−0.280614	+	0.162013i
$236$	10.7797	+	103.365i	0.0456768	+	0.437989i
$237$	159.039	+	70.5063i	0.671049	+	0.297495i
$238$	144.376	−	283.072i	0.606623	−	1.18938i
$239$	−74.1713	+	88.3940i	−0.310340	+	0.369849i	−0.898559	−	0.438853i	$-0.855385\pi$
$239$	−74.1713	+	88.3940i	−0.310340	+	0.369849i	0.588219	+	0.808702i	$0.299829\pi$
$240$	−396.103	+	128.689i	−1.65043	+	0.536206i
$241$	109.908	+	40.0034i	0.456051	+	0.165989i	0.559823	−	0.828612i	$-0.310869\pi$
$241$	109.908	+	40.0034i	0.456051	+	0.165989i	−0.103772	+	0.994601i	$0.533091\pi$
$242$	67.7328	−	221.225i	0.279888	−	0.914151i
$243$	−81.2960	+	228.998i	−0.334552	+	0.942377i
$244$	−221.421	−	149.610i	−0.907462	−	0.613158i
$245$	721.792	+	262.711i	2.94609	+	1.07229i
$246$	−14.0719	−	5.38259i	−0.0572028	−	0.0218805i
$247$	48.5959	−	57.9143i	0.196745	−	0.234471i
$248$	3.08312	−	1.70412i	0.0124319	−	0.00687147i
$249$	183.556	+	81.3756i	0.737173	+	0.326810i
$250$	−171.288	−	403.982i	−0.685151	−	1.61593i
$251$	127.608	−	73.6744i	0.508397	−	0.293523i	−0.223777	−	0.974640i	$-0.571839\pi$
$251$	127.608	−	73.6744i	0.508397	−	0.293523i	0.732175	+	0.681117i	$0.238505\pi$
$252$	281.748	−	314.406i	1.11805	−	1.24764i
$253$	5.75715	−	9.97168i	0.0227555	−	0.0394138i
$254$	27.2671	−	221.334i	0.107351	−	0.871392i
$255$	244.578	−	254.073i	0.959128	−	0.996366i
$256$	112.966	−	229.728i	0.441272	−	0.897373i
$257$	−294.633	+	107.238i	−1.14643	+	0.417267i	−0.844232	−	0.535978i	$-0.819943\pi$
$257$	−294.633	+	107.238i	−1.14643	+	0.417267i	−0.302199	+	0.953245i	$0.597721\pi$
$258$	−91.9083	−	55.0762i	−0.356234	−	0.213473i
$259$	−437.169	+	77.0847i	−1.68791	+	0.297624i
$260$	146.983	−	71.5416i	0.565320	−	0.275160i
$261$	−288.824	−	152.396i	−1.10661	−	0.583894i
$262$	7.08999	+	30.7668i	0.0270610	+	0.117430i
$263$	131.924	+	157.221i	0.501613	+	0.597799i	0.956131	−	0.292938i	$-0.0946330\pi$
$263$	131.924	+	157.221i	0.501613	+	0.597799i	−0.454518	+	0.890737i	$0.650189\pi$
$264$	−14.3063	+	53.4722i	−0.0541905	+	0.202546i
$265$	−62.4737	+	354.306i	−0.235750	+	1.33700i
$266$	−315.820	+	204.915i	−1.18729	+	0.770355i
$267$	−292.702	+	143.336i	−1.09626	+	0.536839i
$268$	−306.532	+	222.331i	−1.14378	+	0.829592i
$269$	−270.423			−1.00529			−0.502645	−	0.864493i	$-0.667640\pi$
$269$	−270.423			−1.00529			−0.502645	+	0.864493i	$0.667640\pi$
$270$	400.565	−	243.066i	1.48357	−	0.900244i
$271$		−	232.697i		−	0.858661i	−0.903148	−	0.429330i	$-0.858750\pi$
$271$		−	232.697i		−	0.858661i	0.903148	−	0.429330i	$-0.141250\pi$
$272$	7.21528	+	216.652i	0.0265268	+	0.796514i
$273$	−92.4424	+	137.522i	−0.338617	+	0.503743i
$274$	−178.350	+	115.719i	−0.650911	+	0.422333i
$275$	−114.216	−	20.1393i	−0.415330	−	0.0732338i
$276$	28.0842	−	52.9181i	0.101754	−	0.191732i
$277$	−57.6704	+	48.3912i	−0.208196	+	0.174698i	−0.740923	−	0.671590i	$-0.765612\pi$
$277$	−57.6704	+	48.3912i	−0.208196	+	0.174698i	0.532727	+	0.846287i	$0.321167\pi$
$278$	25.3756	+	110.116i	0.0912790	+	0.396102i
$279$	−2.93671	+	2.66116i	−0.0105258	+	0.00953819i
$280$	−804.158	+	126.368i	−2.87199	+	0.451313i
$281$	24.3783	+	138.256i	0.0867556	+	0.492015i	0.996964	+	0.0778647i	$0.0248102\pi$
$281$	24.3783	+	138.256i	0.0867556	+	0.492015i	−0.910208	+	0.414151i	$0.864079\pi$
$282$	−0.856653	+	52.6483i	−0.00303778	+	0.186696i
$283$	48.0225	+	131.941i	0.169691	+	0.466221i	0.995165	−	0.0982185i	$-0.0313144\pi$
$283$	48.0225	+	131.941i	0.169691	+	0.466221i	−0.825474	+	0.564440i	$0.809092\pi$
$284$	112.334	−	449.003i	0.395543	−	1.58099i
$285$	−401.451	+	115.804i	−1.40860	+	0.406331i
$286$	2.65644	−	21.5630i	0.00928825	−	0.0753950i
$287$	−25.5021	−	14.7236i	−0.0888573	−	0.0513018i
$288$	−64.4616	+	280.693i	−0.223825	+	0.974629i
$289$	52.7226	+	91.3183i	0.182431	+	0.315980i
$290$	245.797	+	579.713i	0.847577	+	1.99901i
$291$	−520.265	+	55.5171i	−1.78785	+	0.190780i
$292$	125.329	−	129.573i	0.429210	−	0.443742i
$293$	255.034	+	213.999i	0.870422	+	0.730371i	0.964187	−	0.265223i	$-0.0854457\pi$
$293$	255.034	+	213.999i	0.870422	+	0.730371i	−0.0937648	+	0.995594i	$0.529890\pi$
$294$	412.389	−	334.755i	1.40268	−	1.13862i
$295$	−77.1031	+	211.839i	−0.261366	+	0.718098i
$296$	235.572	−	190.290i	0.795851	−	0.642873i
$297$	1.87689	−	62.2438i	0.00631949	−	0.209575i
$298$	−68.5860	+	224.011i	−0.230154	+	0.751715i
$299$	−8.04230	+	22.0960i	−0.0268973	+	0.0738997i
$300$	−597.622	−	83.5151i	−1.99207	−	0.278384i
$301$	−160.426	−	134.614i	−0.532978	−	0.447221i
$302$	−225.860	+	442.833i	−0.747880	+	1.46633i
$303$	−131.949	−	181.007i	−0.435474	−	0.597382i
$304$	120.937	−	226.565i	0.397818	−	0.745280i
$305$	−289.832	−	502.005i	−0.950270	−	1.64592i
$306$	−63.7702	−	235.383i	−0.208399	−	0.769225i
$307$	176.337	+	101.808i	0.574387	+	0.331622i	0.758900	−	0.651208i	$-0.225737\pi$
$307$	176.337	+	101.808i	0.574387	+	0.331622i	−0.184513	+	0.982830i	$0.559071\pi$
$308$	−44.0841	+	98.7996i	−0.143130	+	0.320778i
$309$	100.437	−	405.571i	0.325038	−	1.31253i
$310$	7.63116	−	0.396842i	0.0246166	−	0.00128014i
$311$	63.2509	+	173.780i	0.203379	+	0.558779i	0.998887	−	0.0471636i	$-0.0150182\pi$
$311$	63.2509	+	173.780i	0.203379	+	0.558779i	−0.795508	+	0.605943i	$0.792796\pi$
$312$	9.80974	−	112.613i	0.0314415	−	0.360940i
$313$	−19.2606	−	109.232i	−0.0615355	−	0.348985i	−0.999994	−	0.00359201i	$-0.998857\pi$
$313$	−19.2606	−	109.232i	−0.0615355	−	0.348985i	0.938458	−	0.345393i	$-0.112254\pi$
$314$	252.867	+	271.387i	0.805310	+	0.864289i
$315$	848.003	−	345.751i	2.69207	−	1.09762i
$316$	−231.377	−	16.3673i	−0.732207	−	0.0517952i
$317$	104.031	−	87.2920i	0.328172	−	0.275369i	−0.463783	−	0.885949i	$-0.653508\pi$
$317$	104.031	−	87.2920i	0.328172	−	0.275369i	0.791955	+	0.610580i	$0.209064\pi$
$318$	187.952	+	162.994i	0.591045	+	0.512561i
$319$	82.4151	+	14.5320i	0.258355	+	0.0455549i
$320$	438.418	−	340.822i	1.37006	−	1.06507i
$321$	84.1052	+	5.74707i	0.262010	+	0.0179036i
$322$	70.5060	−	93.4860i	0.218963	−	0.290329i
$323$			217.468i			0.673275i
$324$	−1.79546	−	323.995i	−0.00554153	−	0.999985i
$325$	236.845			0.728755
$326$	−4.90296	−	3.69775i	−0.0150397	−	0.0113428i
$327$	−2.61516	+	38.2714i	−0.00799743	+	0.117038i
$328$	20.0848	+	0.374921i	0.0612341	+	0.00114305i
$329$	−17.8712	+	101.352i	−0.0543196	+	0.308062i
$330$	−78.6662	+	90.7117i	−0.238382	+	0.274884i
$331$	−114.419	−	136.359i	−0.345677	−	0.411962i	0.564993	−	0.825095i	$-0.308879\pi$
$331$	−114.419	−	136.359i	−0.345677	−	0.411962i	−0.910670	+	0.413133i	$0.864434\pi$
$332$	−267.047	−	18.8905i	−0.804358	−	0.0568990i
$333$	−208.891	+	269.125i	−0.627300	+	0.808183i
$334$	−134.624	+	125.437i	−0.403066	+	0.375561i
$335$	−808.931	+	142.636i	−2.41472	+	0.425780i
$336$	−210.882	+	521.908i	−0.627624	+	1.55330i
$337$	547.261	−	199.187i	1.62392	−	0.591059i	0.639797	−	0.768544i	$-0.279019\pi$
$337$	547.261	−	199.187i	1.62392	−	0.591059i	0.984123	+	0.177486i	$0.0567963\pi$
$338$	−15.2491	−	293.236i	−0.0451157	−	0.867561i
$339$	612.794	+	151.754i	1.80765	+	0.447652i
$340$	−191.602	+	429.411i	−0.563534	+	1.26297i
$341$	0.507797	−	0.879530i	0.00148914	−	0.00257927i
$342$	−74.0056	+	279.286i	−0.216391	+	0.816625i
$343$	401.424	−	231.762i	1.17033	−	0.675692i
$344$	140.205	+	27.4294i	0.407573	+	0.0797366i
$345$	105.013	−	76.5512i	0.304385	−	0.221887i
$346$	506.998	+	258.586i	1.46531	+	0.747359i
$347$	−174.936	+	208.480i	−0.504138	+	0.600808i	−0.956754	−	0.290897i	$-0.906046\pi$
$347$	−174.936	+	208.480i	−0.504138	+	0.600808i	0.452616	+	0.891705i	$0.350491\pi$
$348$	431.228	+	60.2624i	1.23916	+	0.173168i
$349$	239.597	+	87.2061i	0.686524	+	0.249874i	0.661646	−	0.749816i	$-0.269858\pi$
$349$	239.597	+	87.2061i	0.686524	+	0.249874i	0.0248779	+	0.999690i	$0.492080\pi$
$350$	−1127.74	−	345.283i	−3.22212	−	0.986523i
$351$	18.2981	+	125.846i	0.0521313	+	0.358537i
$352$	−6.28397	−	73.5359i	−0.0178522	−	0.208909i
$353$	−216.192	−	78.6876i	−0.612443	−	0.222911i	0.0171289	−	0.999853i	$-0.494547\pi$
$353$	−216.192	−	78.6876i	−0.612443	−	0.222911i	−0.629572	+	0.776942i	$0.716770\pi$
$354$	98.2473	+	121.032i	0.277535	+	0.341899i
$355$	645.351	−	769.100i	1.81789	−	2.16648i
$356$	302.117	−	312.347i	0.848645	−	0.877378i
$357$	−50.5755	−	473.955i	−0.141668	−	1.32761i
$358$	−79.3924	+	33.6622i	−0.221766	+	0.0940286i
$359$	513.681	−	296.574i	1.43087	−	0.826112i	0.433680	−	0.901067i	$-0.357215\pi$
$359$	513.681	−	296.574i	1.43087	−	0.826112i	0.997187	+	0.0749550i	$0.0238813\pi$
$360$	−392.198	+	486.273i	−1.08944	+	1.35076i
$361$	−51.6768	+	89.5068i	−0.143149	+	0.247941i
$362$	207.349	+	25.5443i	0.572788	+	0.0705643i
$363$	−96.1871	−	333.446i	−0.264978	−	0.918584i
$364$	53.6231	−	214.333i	0.147316	−	0.588826i
$365$	367.452	−	133.742i	1.00672	−	0.366415i
$366$	−400.788	−	6.52132i	−1.09505	−	0.0178178i
$367$	−328.288	+	57.8861i	−0.894519	+	0.157728i	−0.601966	−	0.798522i	$-0.705616\pi$
$367$	−328.288	+	57.8861i	−0.894519	+	0.157728i	−0.292553	+	0.956249i	$0.594505\pi$
$368$	−11.2447	+	79.0828i	−0.0305561	+	0.214899i
$369$	−22.0904	+	4.76881i	−0.0598657	+	0.0129236i
$370$	640.113	−	147.509i	1.73003	−	0.398674i
$371$	312.558	+	372.492i	0.842473	+	1.00402i
$372$	2.47710	−	4.66752i	0.00665887	−	0.0125471i
$373$	10.8367	−	61.4578i	0.0290527	−	0.164766i	−0.966829	−	0.255423i	$-0.917785\pi$
$373$	10.8367	−	61.4578i	0.0290527	−	0.164766i	0.995882	+	0.0906564i	$0.0288965\pi$
$374$	34.0158	+	52.4261i	0.0909514	+	0.140177i
$375$	−546.250	−	367.190i	−1.45667	−	0.979174i
$376$	−22.7767	−	66.4097i	−0.0605764	−	0.176621i
$377$	−170.902			−0.453320
$378$	96.3378	−	625.895i	0.254862	−	1.65581i
$379$			341.891i			0.902088i	0.892502	+	0.451044i	$0.148948\pi$
$379$			341.891i			0.902088i	−0.892502	+	0.451044i	$0.851052\pi$
$380$	450.963	−	327.087i	1.18674	−	0.860756i
$381$	−147.117	−	300.423i	−0.386133	−	0.788511i
$382$	276.255	+	425.772i	0.723180	+	1.11459i
$383$	−173.175	−	30.5355i	−0.452155	−	0.0797272i	−0.0570670	−	0.998370i	$-0.518175\pi$
$383$	−173.175	−	30.5355i	−0.452155	−	0.0797272i	−0.395088	+	0.918643i	$0.629286\pi$
$384$	−46.3254	−	381.195i	−0.120639	−	0.992696i
$385$	−179.776	+	150.850i	−0.466951	+	0.391818i
$386$	0.519033	−	0.119607i	0.00134464	−	0.000309864i
$387$	−160.604	+	6.11896i	−0.414998	+	0.0158113i
$388$	627.268	−	305.312i	1.61667	−	0.786887i
$389$	18.0397	+	102.308i	0.0463746	+	0.263003i	0.999176	−	0.0405915i	$-0.0129242\pi$
$389$	18.0397	+	102.308i	0.0463746	+	0.263003i	−0.952801	+	0.303595i	$0.901813\pi$
$390$	126.041	−	210.330i	0.323181	−	0.539308i
$391$	−23.1336	−	63.5590i	−0.0591651	−	0.162555i
$392$	−365.488	+	606.609i	−0.932368	+	1.54747i
$393$	34.1199	+	32.8447i	0.0868191	+	0.0835743i
$394$	−101.744	−	12.5343i	−0.258233	−	0.0318129i
$395$	−435.744	−	251.577i	−1.10315	−	0.636904i
$396$	25.8443	+	78.9047i	0.0652635	+	0.199254i
$397$	−309.052	−	535.294i	−0.778469	−	1.34835i	−0.932824	−	0.360333i	$-0.882663\pi$
$397$	−309.052	−	535.294i	−0.778469	−	1.34835i	0.154354	−	0.988016i	$-0.450670\pi$
$398$	183.004	−	77.5933i	0.459809	−	0.194958i
$399$	−228.869	+	516.252i	−0.573607	+	1.29386i
$400$	787.259	−	166.008i	1.96815	−	0.415021i
$401$	−157.870	−	132.468i	−0.393690	−	0.330345i	0.424359	−	0.905494i	$-0.360500\pi$
$401$	−157.870	−	132.468i	−0.393690	−	0.330345i	−0.818048	+	0.575149i	$0.804944\pi$
$402$	−202.928	+	530.522i	−0.504797	+	1.31971i
$403$	−0.709353	+	1.94893i	−0.00176018	+	0.00483606i
$404$	247.466	+	167.209i	0.612539	+	0.413883i
$405$	304.077	−	633.630i	0.750808	−	1.56452i
$406$	813.749	+	249.148i	2.00431	+	0.613664i
$407$	29.8598	−	82.0391i	0.0733656	−	0.201570i
$408$	186.603	+	266.283i	0.457360	+	0.652656i
$409$	−197.638	−	165.838i	−0.483222	−	0.405472i	0.368368	−	0.929680i	$-0.379917\pi$
$409$	−197.638	−	165.838i	−0.483222	−	0.405472i	−0.851590	+	0.524208i	$0.824361\pi$
$410$	38.8177	+	19.7984i	0.0946774	+	0.0482887i
$411$	−129.247	+	291.538i	−0.314469	+	0.709337i
$412$	57.7849	+	554.091i	0.140255	+	1.34488i
$413$	152.344	+	263.868i	0.368872	+	0.638905i
$414$	−8.08009	−	89.4990i	−0.0195171	−	0.216181i
$415$	−502.919	−	290.361i	−1.21185	−	0.699664i
$416$	38.7151	+	145.663i	0.0930652	+	0.350150i
$417$	122.117	+	117.553i	0.292848	+	0.281903i
$418$	−3.84514	−	73.9410i	−0.00919890	−	0.176892i
$419$	41.7733	+	114.771i	0.0996975	+	0.273917i	0.979507	−	0.201410i	$-0.0645522\pi$
$419$	41.7733	+	114.771i	0.0996975	+	0.273917i	−0.879810	+	0.475326i	$0.842330\pi$
$420$	−906.772	+	817.742i	−2.15898	+	1.94700i
$421$	−19.2591	−	109.224i	−0.0457461	−	0.259439i	0.953354	−	0.301855i	$-0.0976058\pi$
$421$	−19.2591	−	109.224i	−0.0457461	−	0.259439i	−0.999100	+	0.0424156i	$0.986495\pi$
$422$	149.374	−	139.181i	0.353966	−	0.329812i
$423$	42.0670	+	66.8481i	0.0994491	+	0.158033i
$424$	−309.535	−	119.250i	−0.730036	−	0.281250i
$425$	−521.893	+	437.920i	−1.22798	+	1.03040i
$426$	−226.806	−	656.170i	−0.532409	−	1.54030i
$427$	−771.550	−	136.045i	−1.80691	−	0.318607i
$428$	−108.072	+	30.8949i	−0.252506	+	0.0721842i
$429$	−14.3325	−	29.2681i	−0.0334092	−	0.0682239i
$430$	247.419	+	186.600i	0.575392	+	0.433953i
$431$			697.944i			1.61936i	0.586872	+	0.809679i	$0.300359\pi$
$431$			697.944i			1.61936i	−0.586872	+	0.809679i	$0.699641\pi$
$432$	149.029	+	405.480i	0.344975	+	0.938612i
$433$	−599.940			−1.38554			−0.692772	−	0.721157i	$-0.743611\pi$
$433$	−599.940			−1.38554			−0.692772	+	0.721157i	$0.743611\pi$
$434$	6.21882	−	8.24573i	0.0143291	−	0.0189994i
$435$	783.866	+	526.916i	1.80199	+	1.21130i
$436$	−14.0585	−	49.1776i	−0.0322442	−	0.112793i
$437$	−13.9152	+	78.9172i	−0.0318426	+	0.180589i
$438$	51.2810	−	265.495i	0.117080	−	0.606153i
$439$	−501.455	−	597.611i	−1.14227	−	1.36130i	−0.922615	−	0.385722i	$-0.873952\pi$
$439$	−501.455	−	597.611i	−1.14227	−	1.36130i	−0.219652	−	0.975578i	$-0.570492\pi$
$440$	57.5537	−	149.391i	0.130804	−	0.339526i
$441$	243.797	−	758.515i	0.552828	−	1.71999i
$442$	−87.0018	−	93.3735i	−0.196837	−	0.211252i
$443$	682.883	−	120.411i	1.54150	−	0.271807i	0.662656	−	0.748924i	$-0.269429\pi$
$443$	682.883	−	120.411i	1.54150	−	0.271807i	0.878840	+	0.477117i	$0.158318\pi$
$444$	140.032	−	432.119i	0.315386	−	0.973240i
$445$	885.776	−	322.396i	1.99051	−	0.724485i
$446$	−657.207	+	34.1766i	−1.47356	+	0.0766292i
$447$	97.3987	+	337.646i	0.217894	+	0.755360i
$448$	28.0107	−	750.014i	0.0625238	−	1.67414i
$449$	−263.993	+	457.250i	−0.587959	+	1.01837i	0.406541	+	0.913633i	$0.366735\pi$
$449$	−263.993	+	457.250i	−0.587959	+	1.01837i	−0.994499	+	0.104742i	$0.966598\pi$
$450$	−819.275	+	384.802i	−1.82061	+	0.855114i
$451$	5.01548	−	2.89569i	0.0111208	−	0.00642060i
$452$	−837.199	+	87.3096i	−1.85221	+	0.193163i
$453$	79.1195	+	741.448i	0.174657	+	1.63675i
$454$	−313.613	+	614.886i	−0.690778	+	1.35438i
$455$	308.060	−	367.132i	0.677056	−	0.806884i
$456$	−33.7195	−	383.754i	−0.0739462	−	0.841566i
$457$	125.330	+	45.6162i	0.274244	+	0.0998167i	0.475481	−	0.879726i	$-0.342274\pi$
$457$	125.330	+	45.6162i	0.274244	+	0.0998167i	−0.201237	+	0.979543i	$0.564496\pi$
$458$	170.470	−	556.779i	0.372206	−	1.21567i
$459$	−273.007	−	243.472i	−0.594786	−	0.530441i
$460$	−97.0076	+	143.569i	−0.210886	+	0.312107i
$461$	−497.956	−	181.241i	−1.08017	−	0.393148i	−0.260196	−	0.965556i	$-0.583787\pi$
$461$	−497.956	−	181.241i	−1.08017	−	0.393148i	−0.819969	+	0.572408i	$0.806009\pi$
$462$	25.5763	+	160.255i	0.0553600	+	0.346872i
$463$	−314.968	+	375.364i	−0.680277	+	0.810722i	−0.990143	−	0.140058i	$-0.955271\pi$
$463$	−314.968	+	375.364i	−0.680277	+	0.810722i	0.309867	+	0.950780i	$0.399716\pi$
$464$	−568.066	+	119.787i	−1.22428	+	0.258163i
$465$	9.26241	−	6.75202i	0.0199192	−	0.0145205i
$466$	77.3577	+	182.448i	0.166004	+	0.391520i
$467$	−168.249	+	97.1384i	−0.360276	+	0.208005i	−0.669202	−	0.743081i	$-0.733364\pi$
$467$	−168.249	+	97.1384i	−0.360276	+	0.208005i	0.308926	+	0.951086i	$0.400030\pi$
$468$	−79.9576	−	149.523i	−0.170850	−	0.319495i
$469$	−555.093	+	961.449i	−1.18357	+	2.05000i
$470$	18.6207	−	151.149i	0.0396186	−	0.321594i
$471$	540.088	+	133.749i	1.14668	+	0.283968i
$472$	−178.034	−	107.267i	−0.377190	−	0.227261i
$473$	38.7030	−	14.0867i	0.0818246	−	0.0297817i
$474$	−304.110	+	169.042i	−0.641581	+	0.356628i
$475$	794.892	−	140.161i	1.67346	−	0.295076i
$476$	278.136	+	571.434i	0.584319	+	1.20049i
$477$	369.707	+	50.7626i	0.775067	+	0.106420i
$478$	−51.8235	−	224.886i	−0.108417	−	0.470473i
$479$	13.8081	+	16.4559i	0.0288270	+	0.0343547i	0.780265	−	0.625449i	$-0.215084\pi$
$479$	13.8081	+	16.4559i	0.0288270	+	0.0343547i	−0.751438	+	0.659803i	$0.770640\pi$
$480$	271.527	−	787.468i	0.565682	−	1.64056i
$481$	−30.9596	+	175.581i	−0.0643652	+	0.365033i
$482$	−196.237	+	127.325i	−0.407130	+	0.264160i
$483$	11.9738	−	175.231i	0.0247906	−	0.362796i
$484$	271.679	+	374.570i	0.561320	+	0.773905i
$485$	1513.28			3.12016
$486$	−267.757	−	405.588i	−0.550941	−	0.834544i
$487$		−	669.554i		−	1.37485i	−0.726254	−	0.687427i	$-0.758740\pi$
$487$		−	669.554i		−	1.37485i	0.726254	−	0.687427i	$-0.241260\pi$
$488$	505.547	−	173.389i	1.03596	−	0.355305i
$489$	−9.19012	−	0.627979i	−0.0187937	−	0.00128421i
$490$	−1288.73	+	836.170i	−2.63006	+	1.70647i
$491$	−571.962	−	100.852i	−1.16489	−	0.205402i	−0.442424	−	0.896806i	$-0.645881\pi$
$491$	−571.962	−	100.852i	−1.16489	−	0.205402i	−0.722468	+	0.691404i	$0.756993\pi$
$492$	25.5413	−	15.9877i	0.0519131	−	0.0324952i
$493$	376.585	−	315.992i	0.763864	−	0.640958i
$494$	33.9539	+	147.342i	0.0687326	+	0.298263i
$495$	−24.4996	+	178.432i	−0.0494941	+	0.360469i
$496$	−0.991809	+	6.97532i	−0.00199962	+	0.0140631i
$497$	−235.632	−	1336.34i	−0.474109	−	2.68881i
$498$	−350.991	+	195.101i	−0.704802	+	0.391769i
$499$	164.520	+	452.016i	0.329700	+	0.905844i	0.988187	+	0.153252i	$0.0489746\pi$
$499$	164.520	+	452.016i	0.329700	+	0.905844i	−0.658487	+	0.752592i	$0.728803\pi$
$500$	851.350	+	212.996i	1.70270	+	0.425992i
$501$	−66.3474	+	267.916i	−0.132430	+	0.534762i
$502$	−36.0327	+	292.486i	−0.0717783	+	0.582642i
$503$	−373.012	−	215.359i	−0.741575	−	0.428148i	0.0810668	−	0.996709i	$-0.474167\pi$
$503$	−373.012	−	215.359i	−0.741575	−	0.428148i	−0.822642	+	0.568560i	$0.807501\pi$
$504$	162.737	+	828.523i	0.322891	+	1.64389i
$505$	323.925	+	561.054i	0.641435	+	1.11100i
$506$	8.98943	+	21.2016i	0.0177657	+	0.0419003i
$507$	−259.454	−	355.918i	−0.511744	−	0.702009i
$508$	320.585	+	310.086i	0.631073	+	0.610406i
$509$	444.761	+	373.199i	0.873793	+	0.733200i	0.964893	−	0.262642i	$-0.0845939\pi$
$509$	444.761	+	373.199i	0.873793	+	0.733200i	−0.0911001	+	0.995842i	$0.529038\pi$
$510$	111.162	+	696.512i	0.217964	+	1.36571i
$511$	180.760	−	496.634i	0.353738	−	0.971887i
$512$	230.784	+	457.037i	0.450749	+	0.892651i
$513$	135.885	+	411.533i	0.264883	+	0.802209i
$514$	183.584	−	599.609i	0.357167	−	1.16655i
$515$	−413.312	+	1135.57i	−0.802548	+	2.20498i
$516$	198.628	−	80.4310i	0.384937	−	0.155874i
$517$	−15.5051	−	13.0103i	−0.0299905	−	0.0251650i
$518$	403.384	−	790.896i	0.778733	−	1.52683i
$519$	848.882	−	90.5836i	1.63561	−	0.174535i
$520$	−62.7716	+	320.856i	−0.120715	+	0.617031i
$521$	193.570	+	335.273i	0.371535	+	0.643517i	0.989802	−	0.142451i	$-0.0454983\pi$
$521$	193.570	+	335.273i	0.371535	+	0.643517i	−0.618267	+	0.785968i	$0.712165\pi$
$522$	591.168	−	277.663i	1.13251	−	0.531921i
$523$	−142.838	−	82.4674i	−0.273112	−	0.157681i	0.357189	−	0.934032i	$-0.383735\pi$
$523$	−142.838	−	82.4674i	−0.273112	−	0.157681i	−0.630301	+	0.776351i	$0.717069\pi$
$524$	−57.6662	−	25.7305i	−0.110050	−	0.0491040i
$525$	−1699.81	+	490.335i	−3.23774	+	0.933972i
$526$	−409.921	+	21.3171i	−0.779318	+	0.0405268i
$527$	−2.04045	−	5.60608i	−0.00387181	−	0.0106377i
$528$	−68.1549	−	87.2393i	−0.129081	−	0.165226i
$529$	87.5319	+	496.418i	0.165467	+	0.938408i
$530$	−490.515	−	526.439i	−0.925500	−	0.993281i
$531$	222.617	+	71.5521i	0.419241	+	0.134750i
$532$	53.1295	−	751.070i	0.0998675	−	1.41179i
$533$	−9.05997	+	7.60221i	−0.0169981	+	0.0142631i
$534$	123.617	−	639.999i	0.231493	−	1.19850i
$535$	−240.116	−	42.3389i	−0.448815	−	0.0791382i
$536$	14.1348	−	757.213i	0.0263710	−	1.41271i
$537$	−72.1618	+	107.351i	−0.134380	+	0.199910i
$538$	325.664	−	431.807i	0.605323	−	0.802616i
$539$			204.173i			0.378800i
$540$	−94.2664	+	932.334i	−0.174567	+	1.72654i
$541$	543.641			1.00488			0.502441	−	0.864612i	$-0.332436\pi$
$541$	543.641			1.00488			0.502441	+	0.864612i	$0.332436\pi$
$542$	371.567	+	280.231i	0.685548	+	0.517032i
$543$	281.441	−	137.821i	0.518308	−	0.253815i
$544$	−354.635	−	249.387i	−0.651903	−	0.458432i
$545$	19.2660	−	109.263i	0.0353504	−	0.200482i
$546$	−108.267	−	313.225i	−0.198291	−	0.573672i
$547$	557.244	+	664.097i	1.01873	+	1.21407i	0.976623	+	0.214958i	$0.0689616\pi$
$547$	557.244	+	664.097i	1.01873	+	1.21407i	0.0421038	+	0.999113i	$0.486594\pi$
$548$	30.0033	−	424.144i	0.0547505	−	0.773985i
$549$	−508.884	+	320.237i	−0.926930	+	0.583310i
$550$	169.705	−	158.125i	0.308555	−	0.287499i
$551$	−573.574	+	101.137i	−1.04097	+	0.183551i
$552$	50.6778	+	108.572i	0.0918076	+	0.196689i
$553$	−639.032	+	232.589i	−1.15557	+	0.420594i
$554$	−7.81934	−	150.364i	−0.0141143	−	0.271414i
$555$	683.344	−	709.875i	1.23125	−	1.27905i
$556$	−206.391	−	92.0912i	−0.371208	−	0.165632i
$557$	251.191	−	435.076i	0.450972	−	0.781106i	−0.547475	−	0.836822i	$-0.684411\pi$
$557$	251.191	−	435.076i	0.450972	−	0.781106i	0.998447	+	0.0557163i	$0.0177442\pi$
$558$	−0.712686	−	7.89406i	−0.00127722	−	0.0141471i
$559$	−72.8417	+	42.0552i	−0.130307	+	0.0752329i
$560$	766.645	−	1436.25i	1.36901	−	2.56473i
$561$	85.6979	+	37.9923i	0.152759	+	0.0677224i
$562$	−250.124	−	127.572i	−0.445060	−	0.226996i
$563$	34.7389	−	41.4002i	0.0617032	−	0.0735351i	−0.734310	−	0.678814i	$-0.762494\pi$
$563$	34.7389	−	41.4002i	0.0617032	−	0.0735351i	0.796013	+	0.605279i	$0.206939\pi$
$564$	−83.0363	−	64.7709i	−0.147228	−	0.114842i
$565$	−1715.77	−	624.490i	−3.03677	−	1.10529i
$566$	−268.513	−	82.2113i	−0.474405	−	0.145250i
$567$	−391.860	−	865.305i	−0.691112	−	1.52611i
$568$	581.679	+	720.096i	1.02408	+	1.26777i
$569$	216.377	+	78.7548i	0.380276	+	0.138409i	0.525083	−	0.851051i	$-0.324034\pi$
$569$	216.377	+	78.7548i	0.380276	+	0.138409i	−0.144808	+	0.989460i	$0.546256\pi$
$570$	298.543	−	780.492i	0.523760	−	1.36928i
$571$	305.971	−	364.642i	0.535850	−	0.638602i	−0.428402	−	0.903588i	$-0.640923\pi$
$571$	305.971	−	364.642i	0.535850	−	0.638602i	0.964252	+	0.264987i	$0.0853676\pi$
$572$	31.2323	+	30.2095i	0.0546020	+	0.0528138i
$573$	695.984	+	308.549i	1.21463	+	0.538480i
$574$	54.2219	−	22.9900i	0.0944633	−	0.0400523i
$575$	−217.412	+	125.523i	−0.378108	+	0.218301i
$576$	−370.577	−	440.963i	−0.643363	−	0.765561i
$577$	−146.058	+	252.980i	−0.253133	+	0.438440i	−0.964387	−	0.264496i	$-0.914795\pi$
$577$	−146.058	+	252.980i	−0.253133	+	0.438440i	0.711253	+	0.702936i	$0.248128\pi$
$578$	−209.308	−	25.7856i	−0.362125	−	0.0446118i
$579$	0.554087	−	0.575600i	0.000956972	−	0.000994127i
$580$	−1221.68	−	305.648i	−2.10635	−	0.526980i
$581$	−737.546	+	268.445i	−1.26944	+	0.462039i
$582$	537.893	−	897.609i	0.924215	−	1.54228i
$583$	−94.1784	+	16.6062i	−0.161541	+	0.0284840i
$584$	55.9688	+	356.165i	0.0958370	+	0.609872i
$585$	−14.0031	−	367.539i	−0.0239369	−	0.628273i
$586$	−648.841	+	149.521i	−1.10724	+	0.255155i
$587$	−536.993	−	639.963i	−0.914809	−	1.09023i	−0.995620	−	0.0934972i	$-0.970195\pi$
$587$	−536.993	−	639.963i	−0.914809	−	1.09023i	0.0808107	−	0.996729i	$-0.474249\pi$
$588$	37.9018	+	1061.63i	0.0644588	+	1.80550i
$589$	−1.22736	+	6.96072i	−0.00208381	+	0.0118179i
$590$	−245.408	−	378.229i	−0.415946	−	0.641067i
$591$	−138.100	+	67.6274i	−0.233672	+	0.114429i
$592$	20.1593	+	605.320i	0.0340529	+	1.02250i
$593$	−253.977			−0.428292			−0.214146	−	0.976802i	$-0.568697\pi$
$593$	−253.977			−0.428292			−0.214146	+	0.976802i	$0.568697\pi$
$594$	97.1296	+	77.9556i	0.163518	+	0.131238i
$595$			1378.58i			2.31694i
$596$	−275.101	−	379.288i	−0.461579	−	0.636389i
$597$	166.337	−	247.451i	0.278621	−	0.414491i
$598$	−25.5975	−	39.4515i	−0.0428051	−	0.0659724i
$599$	1092.94	+	192.715i	1.82460	+	0.321727i	0.977698	−	0.210015i	$-0.0673512\pi$
$599$	1092.94	+	192.715i	1.82460	+	0.321727i	0.846907	+	0.531742i	$0.178462\pi$
$600$	853.056	−	853.698i	1.42176	−	1.42283i
$601$	303.355	−	254.545i	0.504750	−	0.423536i	−0.354527	−	0.935046i	$-0.615358\pi$
$601$	303.355	−	254.545i	0.504750	−	0.423536i	0.859277	+	0.511510i	$0.170914\pi$
$602$	408.146	−	94.0544i	0.677984	−	0.156237i
$603$	179.788	+	832.828i	0.298156	+	1.38114i
$604$	−435.111	−	893.942i	−0.720383	−	1.48004i
$605$	174.296	+	988.481i	0.288092	+	1.63385i
$606$	447.931	+	7.28840i	0.739161	+	0.0120271i
$607$	185.277	+	509.044i	0.305234	+	0.838622i	0.993569	+	0.113230i	$0.0361195\pi$
$607$	185.277	+	509.044i	0.305234	+	0.838622i	−0.688335	+	0.725393i	$0.741658\pi$
$608$	216.135	+	465.957i	0.355485	+	0.766376i
$609$	1226.54	−	353.813i	2.01403	−	0.580974i
$610$	1150.63	+	141.751i	1.88628	+	0.232379i
$611$	35.7965	+	20.6671i	0.0585868	+	0.0338251i
$612$	452.653	+	181.638i	0.739629	+	0.296795i
$613$	−343.368	−	594.730i	−0.560143	−	0.970196i	−0.997483	−	0.0709000i	$-0.977413\pi$
$613$	−343.368	−	594.730i	−0.560143	−	0.970196i	0.437341	−	0.899296i	$-0.355920\pi$
$614$	−374.924	+	158.967i	−0.610625	+	0.258904i
$615$	64.9937	−	6.93544i	0.105681	−	0.0112771i
$616$	−104.672	−	189.375i	−0.169923	−	0.307426i
$617$	657.785	+	551.947i	1.06610	+	0.894566i	0.994694	−	0.102881i	$-0.0328062\pi$
$617$	657.785	+	551.947i	1.06610	+	0.894566i	0.0714083	+	0.997447i	$0.477251\pi$
$618$	526.656	+	648.795i	0.852194	+	1.04983i
$619$	−80.2415	+	220.462i	−0.129631	+	0.356158i	−0.987480	−	0.157743i	$-0.949578\pi$
$619$	−80.2415	+	220.462i	−0.129631	+	0.356158i	0.857849	+	0.513901i	$0.171800\pi$
$620$	−8.55634	+	12.6632i	−0.0138005	+	0.0204246i
$621$	−83.4926	−	105.823i	−0.134449	−	0.170408i
$622$	−353.661	−	108.281i	−0.568587	−	0.174086i
$623$	435.738	−	1197.18i	0.699419	−	1.92164i
$624$	168.006	+	151.281i	0.269240	+	0.242438i
$625$	495.256	+	415.569i	0.792410	+	0.664911i
$626$	197.616	+	100.791i	0.315680	+	0.161008i
$627$	−65.4227	−	89.7468i	−0.104342	−	0.143137i
$628$	−737.868	+	76.9506i	−1.17495	+	0.122533i
$629$	−256.424	−	444.139i	−0.407669	−	0.706104i
$630$	−469.139	+	1770.46i	−0.744664	+	2.81025i
$631$	124.225	+	71.7213i	0.196870	+	0.113663i	0.595195	−	0.803582i	$-0.297075\pi$
$631$	124.225	+	71.7213i	0.196870	+	0.113663i	−0.398325	+	0.917244i	$0.630408\pi$
$632$	304.777	−	349.749i	0.482242	−	0.553401i
$633$	73.6166	−	297.269i	0.116298	−	0.469620i
$634$	14.1051	+	271.238i	0.0222479	+	0.427820i
$635$	330.900	+	909.139i	0.521102	+	1.43172i
$636$	−486.613	+	103.829i	−0.765115	+	0.163254i
$637$	−72.4036	−	410.621i	−0.113663	−	0.644617i
$638$	−122.455	+	114.099i	−0.191936	+	0.178838i
$639$	−822.660	−	638.537i	−1.28742	−	0.999276i
$640$	16.2440	+	1110.50i	0.0253812	+	1.73516i
$641$	334.138	−	280.375i	0.521276	−	0.437403i	−0.343800	−	0.939043i	$-0.611714\pi$
$641$	334.138	−	280.375i	0.521276	−	0.437403i	0.865076	+	0.501640i	$0.167270\pi$
$642$	−110.463	+	127.377i	−0.172060	+	0.198406i
$643$	−1138.09	−	200.676i	−1.76997	−	0.312094i	−0.808809	−	0.588072i	$-0.799887\pi$
$643$	−1138.09	−	200.676i	−1.76997	−	0.312094i	−0.961164	+	0.275978i	$0.910998\pi$
$644$	64.3685	+	225.166i	0.0999511	+	0.349636i
$645$	463.762	+	31.6898i	0.719012	+	0.0491314i
$646$	−347.249	−	261.891i	−0.537537	−	0.405404i
$647$		−	935.380i		−	1.44572i	−0.690995	−	0.722859i	$-0.742827\pi$
$647$		−	935.380i		−	1.44572i	0.690995	−	0.722859i	$-0.257173\pi$
$648$	519.513	+	387.312i	0.801717	+	0.597704i
$649$	−59.9229			−0.0923312
$650$	−285.227	+	378.191i	−0.438811	+	0.581832i
$651$	1.05613	−	15.4558i	0.00162231	−	0.0237417i
$652$	11.8090	−	3.37586i	0.0181120	−	0.00517770i
$653$	−140.779	+	798.399i	−0.215588	+	1.22266i	0.664294	+	0.747471i	$0.268732\pi$
$653$	−140.779	+	798.399i	−0.215588	+	1.22266i	−0.879882	+	0.475191i	$0.842379\pi$
$654$	−57.9619	−	50.2652i	−0.0886267	−	0.0768580i
$655$	−88.0464	−	104.930i	−0.134422	−	0.160198i
$656$	−24.7863	+	31.6195i	−0.0377839	+	0.0482005i
$657$	−153.135	−	375.584i	−0.233082	−	0.571666i
$658$	−140.316	−	150.593i	−0.213246	−	0.228864i
$659$	−209.650	+	36.9669i	−0.318133	+	0.0560954i	−0.330435	−	0.943829i	$-0.607195\pi$
$659$	−209.650	+	36.9669i	−0.318133	+	0.0560954i	0.0123016	+	0.999924i	$0.496084\pi$
$660$	−50.1113	−	234.855i	−0.0759263	−	0.355841i
$661$	−88.9075	+	32.3597i	−0.134505	+	0.0489556i	−0.408395	−	0.912805i	$-0.633912\pi$
$661$	−88.9075	+	32.3597i	−0.134505	+	0.0489556i	0.273891	+	0.961761i	$0.411689\pi$
$662$	355.529	−	18.4885i	0.537052	−	0.0279283i
$663$	−185.823	−	46.0177i	−0.280276	−	0.0694083i
$664$	351.762	−	403.667i	0.529762	−	0.607932i
$665$	816.640	−	1414.46i	1.22803	−	2.12701i
$666$	−178.172	−	657.654i	−0.267526	−	0.987469i
$667$	156.879	−	90.5741i	0.235201	−	0.135793i
$668$	−38.1721	−	366.027i	−0.0571439	−	0.547944i
$669$	−797.693	+	581.494i	−1.19237	+	0.869199i
$670$	746.416	−	1463.46i	1.11405	−	2.18427i
$671$	99.0416	−	118.033i	0.147603	−	0.175906i
$672$	−579.416	−	965.254i	−0.862226	−	1.43639i
$673$	−635.081	−	231.150i	−0.943656	−	0.343463i	−0.176048	−	0.984382i	$-0.556331\pi$
$673$	−635.081	−	231.150i	−0.943656	−	0.343463i	−0.767609	+	0.640919i	$0.778553\pi$
$674$	−340.994	+	1113.73i	−0.505926	+	1.65242i
$675$	−713.988	+	1154.82i	−1.05776	+	1.71085i
$676$	486.598	+	328.787i	0.719820	+	0.486371i
$677$	−916.610	−	333.619i	−1.35393	−	0.492790i	−0.439757	−	0.898117i	$-0.644935\pi$
$677$	−916.610	−	333.619i	−1.35393	−	0.492790i	−0.914172	+	0.405327i	$0.867158\pi$
$678$	−980.290	+	795.746i	−1.44586	+	1.17367i
$679$	1314.68	−	1566.78i	1.93621	−	2.30748i
$680$	−454.936	−	823.075i	−0.669023	−	1.21040i
$681$	109.860	+	1029.52i	0.161321	+	1.51178i
$682$	0.792893	+	1.87004i	0.00116260	+	0.00274199i
$683$	193.748	−	111.861i	0.283672	−	0.163778i	−0.351412	−	0.936221i	$-0.614299\pi$
$683$	193.748	−	111.861i	0.283672	−	0.163778i	0.635085	+	0.772442i	$0.280965\pi$
$684$	−356.836	−	454.508i	−0.521691	−	0.664486i
$685$	461.172	−	798.774i	0.673244	−	1.16609i
$686$	−113.350	+	920.093i	−0.165234	+	1.34124i
$687$	−242.084	−	839.218i	−0.352379	−	1.22157i
$688$	−212.644	+	190.845i	−0.309076	+	0.277391i
$689$	183.517	−	66.7948i	0.266353	−	0.0969445i
$690$	−4.22843	+	259.871i	−0.00612816	+	0.376625i
$691$	−204.026	+	35.9752i	−0.295262	+	0.0520626i	−0.319317	−	0.947648i	$-0.603453\pi$
$691$	−204.026	+	35.9752i	−0.295262	+	0.0520626i	0.0240551	+	0.999711i	$0.492342\pi$
$692$	−1023.47	+	498.158i	−1.47901	+	0.719881i
$693$	163.456	+	180.382i	0.235867	+	0.260291i
$694$	−122.228	−	530.403i	−0.176120	−	0.764269i
$695$	−315.124	−	375.550i	−0.453416	−	0.540360i
$696$	−615.544	+	616.007i	−0.884402	+	0.885067i
$697$	5.90752	−	33.5032i	0.00847565	−	0.0480678i
$698$	−427.790	+	277.565i	−0.612880	+	0.397657i
$699$	246.700	+	165.832i	0.352932	+	0.237242i
$700$	1909.45	−	1384.94i	2.72779	−	1.97849i
$701$	−318.924			−0.454955			−0.227478	−	0.973783i	$-0.573048\pi$
$701$	−318.924			−0.454955			−0.227478	+	0.973783i	$0.573048\pi$
$702$	−222.986	−	122.336i	−0.317643	−	0.174267i
$703$			607.600i			0.864296i
$704$	124.989	+	78.5233i	0.177541	+	0.111539i
$705$	−100.466	−	205.159i	−0.142505	−	0.291006i
$706$	386.002	−	250.451i	0.546745	−	0.354747i
$707$	862.306	+	152.048i	1.21967	+	0.215060i
$708$	−311.579	+	11.1238i	−0.440083	+	0.0157116i
$709$	469.253	−	393.750i	0.661852	−	0.555360i	−0.248789	−	0.968558i	$-0.580033\pi$
$709$	469.253	−	393.750i	0.661852	−	0.555360i	0.910641	+	0.413198i	$0.135588\pi$
$710$	450.906	+	1956.69i	0.635079	+	2.75591i
$711$	−243.553	+	461.586i	−0.342550	+	0.649207i
$712$	134.918	+	858.568i	0.189491	+	1.20585i
$713$	−0.381741	−	2.16496i	−0.000535401	−	0.00303641i
$714$	817.712	+	490.014i	1.14525	+	0.686295i
$715$	32.2372	+	88.5710i	0.0450870	+	0.123876i
$716$	41.8589	−	167.311i	0.0584621	−	0.233675i
$717$	−249.396	−	240.075i	−0.347832	−	0.334832i
$718$	−145.049	+	1177.40i	−0.202018	+	1.63983i
$719$	983.957	+	568.088i	1.36851	+	0.790108i	0.990737	−	0.135792i	$-0.0433577\pi$
$719$	983.957	+	568.088i	1.36851	+	0.790108i	0.377770	+	0.925900i	$0.376691\pi$
$720$	−304.159	−	1211.86i	−0.422444	−	1.68314i
$721$	816.643	+	1414.47i	1.13265	+	1.96181i
$722$	−80.6901	−	190.308i	−0.111759	−	0.263584i
$723$	−142.209	+	320.776i	−0.196693	+	0.443674i
$724$	−290.494	+	300.330i	−0.401235	+	0.414820i
$725$	−1397.73	−	1172.84i	−1.92791	−	1.61771i
$726$	648.277	+	247.970i	0.892944	+	0.341557i
$727$	−393.913	+	1082.27i	−0.541834	+	1.48868i	0.302653	+	0.953101i	$0.402128\pi$
$727$	−393.913	+	1082.27i	−0.541834	+	1.48868i	−0.844487	+	0.535576i	$0.820095\pi$
$728$	277.666	+	343.740i	0.381410	+	0.472171i
$729$	−668.768	−	290.155i	−0.917378	−	0.398018i
$730$	−228.957	+	747.804i	−0.313639	+	1.02439i
$731$	82.7492	−	227.352i	0.113200	−	0.311015i
$732$	493.072	−	632.118i	0.673595	−	0.863550i
$733$	405.935	+	340.620i	0.553800	+	0.464693i	0.876225	−	0.481902i	$-0.160054\pi$
$733$	405.935	+	340.620i	0.553800	+	0.464693i	−0.322426	+	0.946595i	$0.604498\pi$
$734$	302.918	−	593.917i	0.412695	−	0.809151i
$735$	−933.919	+	2106.61i	−1.27064	+	2.86613i
$736$	−112.737	−	113.193i	−0.153175	−	0.153794i
$737$	−109.170	−	189.088i	−0.148127	−	0.256564i
$738$	18.9882	−	41.0166i	0.0257292	−	0.0555781i
$739$	1010.52	+	583.424i	1.36742	+	0.789478i	0.990597	−	0.136809i	$-0.0436845\pi$
$739$	1010.52	+	583.424i	1.36742	+	0.789478i	0.376819	+	0.926287i	$0.377018\pi$
$740$	−535.331	+	1199.76i	−0.723420	+	1.62130i
$741$	163.400	+	157.293i	0.220513	+	0.212271i
$742$	−971.194	+	50.5049i	−1.30889	+	0.0680659i
$743$	−297.963	−	818.648i	−0.401028	−	1.10181i	−0.961778	−	0.273829i	$-0.911710\pi$
$743$	−297.963	−	818.648i	−0.401028	−	1.10181i	0.560751	−	0.827985i	$-0.310513\pi$
$744$	4.46992	+	9.57638i	0.00600796	+	0.0128715i
$745$	−176.491	−	1000.93i	−0.236901	−	1.34353i
$746$	85.0846	+	91.3159i	0.114054	+	0.122407i
$747$	−281.100	+	532.745i	−0.376305	+	0.713179i
$748$	−124.678	−	8.81950i	−0.166681	−	0.0117908i
$749$	−252.441	+	211.823i	−0.337037	+	0.282807i
$750$	1244.16	−	430.046i	1.65888	−	0.573395i
$751$	−925.603	−	163.209i	−1.23249	−	0.217322i	−0.480798	−	0.876832i	$-0.659653\pi$
$751$	−925.603	−	163.209i	−1.23249	−	0.217322i	−0.751696	+	0.659510i	$0.770764\pi$
$752$	133.471	+	43.6060i	0.177489	+	0.0579866i
$753$	194.411	+	397.000i	0.258182	+	0.527225i
$754$	205.812	−	272.893i	0.272961	−	0.361927i
$755$		−	2156.62i		−	2.85646i
$756$	883.402	+	907.580i	1.16852	+	1.20050i
$757$	1407.53			1.85935			0.929677	−	0.368376i	$-0.120086\pi$
$757$	1407.53			1.85935			0.929677	+	0.368376i	$0.120086\pi$
$758$	−545.927	−	411.731i	−0.720220	−	0.543181i
$759$	28.6680	+	19.2707i	0.0377707	+	0.0253896i
$760$	−20.7948	+	1113.99i	−0.0273616	+	1.46578i
$761$	−40.6037	+	230.275i	−0.0533558	+	0.302596i	−0.999794	−	0.0202889i	$-0.993541\pi$
$761$	−40.6037	+	230.275i	−0.0533558	+	0.302596i	0.946438	+	0.322884i	$0.104653\pi$
$762$	656.880	+	126.878i	0.862047	+	0.166506i
$763$	−96.3883	−	114.871i	−0.126328	−	0.150552i
$764$	−1012.55	−	71.6264i	−1.32533	−	0.0937518i
$765$	710.426	+	783.989i	0.928662	+	1.02482i
$766$	257.309	−	239.751i	0.335913	−	0.312991i
$767$	120.513	−	21.2498i	0.157123	−	0.0277050i
$768$	664.476	+	385.092i	0.865203	+	0.501422i
$769$	352.803	−	128.410i	0.458781	−	0.166983i	−0.102282	−	0.994755i	$-0.532615\pi$
$769$	352.803	−	128.410i	0.458781	−	0.166983i	0.561064	+	0.827773i	$0.310392\pi$
$770$	−24.3752	−	468.729i	−0.0316561	−	0.608738i
$771$	−260.706	−	903.774i	−0.338141	−	1.17221i
$772$	−0.434071	+	0.972824i	−0.000562268	+	0.00126013i
$773$	82.5621	−	143.002i	0.106807	−	0.184996i	−0.807668	−	0.589638i	$-0.799271\pi$
$773$	82.5621	−	143.002i	0.106807	−	0.184996i	0.914475	+	0.404642i	$0.132604\pi$
$774$	183.641	−	263.819i	0.237262	−	0.340852i
$775$	−19.1763	+	11.0715i	−0.0247437	+	0.0142858i
$776$	−267.885	+	1369.29i	−0.345213	+	1.76455i
$777$	−141.307	−	1324.22i	−0.181862	−	1.70427i
$778$	−185.089	−	94.4018i	−0.237904	−	0.121339i
$779$	−25.9079	+	30.8758i	−0.0332579	+	0.0396352i
$780$	184.065	+	454.555i	0.235980	+	0.582763i
$781$	250.777	+	91.2753i	0.321097	+	0.116870i
$782$	129.349	+	39.6031i	0.165408	+	0.0506434i
$783$	515.196	−	833.289i	0.657977	−	1.06423i
$784$	−528.476	−	1314.13i	−0.674076	−	1.67619i
$785$	−1512.20	−	550.397i	−1.92637	−	0.701142i
$786$	−93.5357	+	14.9281i	−0.119002	+	0.0189925i
$787$	−681.597	+	812.295i	−0.866070	+	1.03214i	0.133088	+	0.991104i	$0.457511\pi$
$787$	−681.597	+	812.295i	−0.866070	+	1.03214i	−0.999158	+	0.0410374i	$0.986934\pi$
$788$	142.542	−	147.368i	0.180891	−	0.187015i
$789$	−497.547	+	362.697i	−0.630605	+	0.459692i
$790$	926.471	−	392.822i	1.17275	−	0.497243i
$791$	−2137.18	+	1233.90i	−2.70187	+	1.55992i
$792$	−157.118	−	53.7551i	−0.198381	−	0.0678726i
$793$	−157.330	+	272.503i	−0.198398	+	0.343636i
$794$	1226.93	+	151.151i	1.54526	+	0.190367i
$795$	−1047.67	−	259.447i	−1.31782	−	0.326349i
$796$	−96.4871	+	385.662i	−0.121215	+	0.484499i
$797$	649.352	−	236.345i	0.814745	−	0.296543i	0.0991628	−	0.995071i	$-0.468384\pi$
$797$	649.352	−	236.345i	0.814745	−	0.296543i	0.715583	+	0.698528i	$0.246161\pi$
$798$	−548.722	−	987.164i	−0.687622	−	1.23705i
$799$	−117.091	+	20.6464i	−0.146547	+	0.0258402i
$800$	−682.997	+	1457.00i	−0.853746	+	1.82125i
$801$	−369.145	−	905.379i	−0.460855	−	1.13031i
$802$	401.642	−	92.5555i	0.500800	−	0.115406i
$803$	66.8122	+	79.6236i	0.0832032	+	0.0991577i
$804$	−602.748	−	962.928i	−0.749687	−	1.19767i
$805$	−88.2118	+	500.274i	−0.109580	+	0.621459i
$806$	−2.25777	−	3.47973i	−0.00280120	−	0.00431729i
$807$	55.3066	−	809.381i	0.0685336	−	1.00295i
$808$	−565.013	+	193.784i	−0.699274	+	0.239832i
$809$	10.7246			0.0132566			0.00662832	−	0.999978i	$-0.497890\pi$
$809$	10.7246			0.0132566			0.00662832	+	0.999978i	$0.497890\pi$
$810$	645.578	+	1248.61i	0.797010	+	1.54149i
$811$		−	1400.90i		−	1.72738i	−0.504026	−	0.863688i	$-0.668148\pi$
$811$		−	1400.90i		−	1.72738i	0.504026	−	0.863688i	$-0.331852\pi$
$812$	−1377.81	+	999.341i	−1.69681	+	1.23072i
$813$	696.467	+	47.5909i	0.856663	+	0.0585374i
$814$	95.0394	+	146.477i	0.116756	+	0.179948i
$815$	26.2373	+	4.62635i	0.0321930	+	0.00567650i
$816$	−649.919	−	22.7139i	−0.796469	−	0.0278356i
$817$	−219.581	+	184.251i	−0.268766	+	0.225521i
$818$	502.818	−	115.871i	0.614692	−	0.141651i
$819$	−392.700	−	304.808i	−0.479487	−	0.372171i
$820$	−78.3610	+	38.1409i	−0.0955622	+	0.0465133i
$821$	142.689	+	809.228i	0.173799	+	0.985661i	0.939521	+	0.342490i	$0.111270\pi$
$821$	142.689	+	809.228i	0.173799	+	0.985661i	−0.765723	+	0.643171i	$0.777619\pi$
$822$	−309.874	−	557.471i	−0.376976	−	0.678188i
$823$	321.791	+	884.112i	0.390997	+	1.07426i	0.966547	+	0.256489i	$0.0825658\pi$
$823$	321.791	+	884.112i	0.390997	+	1.07426i	−0.575550	+	0.817767i	$0.695212\pi$
$824$	−954.353	−	575.008i	−1.15820	−	0.697825i
$825$	83.6366	−	337.731i	0.101378	−	0.409371i
$826$	−604.804	−	74.5086i	−0.732209	−	0.0902041i
$827$	876.335	+	505.952i	1.05965	+	0.611792i	0.925337	−	0.379146i	$-0.123782\pi$
$827$	876.335	+	505.952i	1.05965	+	0.611792i	0.134318	+	0.990938i	$0.457116\pi$
$828$	152.641	+	94.8792i	0.184349	+	0.114588i
$829$	−460.400	−	797.436i	−0.555368	−	0.961925i	−0.997875	−	0.0651600i	$-0.979244\pi$
$829$	−460.400	−	797.436i	−0.555368	−	0.961925i	0.442507	−	0.896765i	$-0.354089\pi$
$830$	1069.30	−	453.380i	1.28831	−	0.546241i
$831$	−133.041	−	182.506i	−0.160098	−	0.219622i
$832$	−279.215	−	113.598i	−0.335595	−	0.136536i
$833$	918.770	+	770.939i	1.10296	+	0.925497i
$834$	−334.771	+	53.4287i	−0.401404	+	0.0640631i
$835$	273.030	−	750.143i	0.326982	−	0.898375i
$836$	122.698	+	82.9054i	0.146768	+	0.0991691i
$837$	−7.36428	−	9.33389i	−0.00879842	−	0.0111516i
$838$	−233.571	−	71.5130i	−0.278725	−	0.0853377i
$839$	−139.473	+	383.198i	−0.166237	+	0.456732i	−0.994640	−	0.103401i	$-0.967028\pi$
$839$	−139.473	+	383.198i	−0.166237	+	0.456732i	0.828403	+	0.560133i	$0.189250\pi$
$840$	−213.756	−	2432.71i	−0.254471	−	2.89608i
$841$	364.326	+	305.706i	0.433206	+	0.363503i
$842$	197.600	+	100.783i	0.234680	+	0.119695i
$843$	−418.790	+	44.6888i	−0.496785	+	0.0530116i
$844$	42.3543	+	406.130i	0.0501829	+	0.481196i
$845$	636.942	+	1103.22i	0.753777	+	1.30558i
$846$	−157.402	−	13.3315i	−0.186055	−	0.0157583i
$847$	1174.85	+	678.302i	1.38708	+	0.800828i
$848$	563.182	−	350.651i	0.664129	−	0.413504i
$849$	−404.723	+	116.748i	−0.476705	+	0.137512i
$850$	−70.7617	−	1360.73i	−0.0832491	−	1.60086i
$851$	−64.6347	−	177.582i	−0.0759514	−	0.208675i
$852$	1320.90	+	428.048i	1.55035	+	0.502404i
$853$	−199.253	−	1130.02i	−0.233591	−	1.32476i	−0.845561	−	0.533879i	$-0.820734\pi$
$853$	−199.253	−	1130.02i	−0.233591	−	1.32476i	0.611970	−	0.790881i	$-0.290377\pi$
$854$	1146.39	−	1068.16i	1.34238	−	1.25078i
$855$	−264.500	−	1225.24i	−0.309357	−	1.43303i
$856$	80.8166	−	209.774i	0.0944119	−	0.245064i
$857$	248.410	−	208.441i	0.289861	−	0.243222i	−0.486249	−	0.873821i	$-0.661635\pi$
$857$	248.410	−	208.441i	0.289861	−	0.243222i	0.776109	+	0.630599i	$0.217191\pi$
$858$	63.9951	+	12.3608i	0.0745864	+	0.0144065i
$859$	978.617	+	172.557i	1.13925	+	0.200881i	0.711278	−	0.702910i	$-0.248117\pi$
$859$	978.617	+	172.557i	1.13925	+	0.200881i	0.427974	+	0.903791i	$0.359228\pi$
$860$	−595.920	+	170.357i	−0.692930	+	0.198089i
$861$	49.2837	−	73.3169i	0.0572401	−	0.0851532i
$862$	−1114.47	−	840.516i	−1.29288	−	0.975077i
$863$			1635.75i			1.89543i	0.319121	+	0.947714i	$0.396613\pi$
$863$			1635.75i			1.89543i	−0.319121	+	0.947714i	$0.603387\pi$
$864$	−826.937	−	250.342i	−0.957103	−	0.289748i
$865$	−2469.11			−2.85447
$866$	722.493	−	957.976i	0.834288	−	1.10621i
$867$	−284.100	+	139.124i	−0.327682	+	0.160466i
$868$	5.67748	+	19.8602i	0.00654087	+	0.0228805i
$869$	23.2244	−	131.712i	0.0267254	−	0.151567i
$870$	−1785.36	+	617.114i	−2.05214	+	0.709326i
$871$	286.610	+	341.568i	0.329059	+	0.392157i
$872$	95.4562	+	36.7750i	0.109468	+	0.0421731i
$873$	−59.7599	−	1568.52i	−0.0684535	−	1.79670i
$874$	−109.256	−	117.258i	−0.125007	−	0.134162i
$875$	2533.82	−	446.780i	2.89579	−	0.510606i
$876$	362.182	+	401.613i	0.413449	+	0.458463i
$877$	1496.49	−	544.677i	1.70637	−	0.621068i	0.709845	−	0.704358i	$-0.248765\pi$
$877$	1496.49	−	544.677i	1.70637	−	0.621068i	0.996525	+	0.0832905i	$0.0265429\pi$
$878$	1558.15	−	81.0280i	1.77465	−	0.0922871i
$879$	−692.662	+	719.554i	−0.788011	+	0.818606i
$880$	169.235	+	271.809i	0.192313	+	0.308874i
$881$	−418.502	+	724.867i	−0.475031	+	0.822777i	−0.999591	−	0.0285961i	$-0.990896\pi$
$881$	−418.502	+	724.867i	−0.475031	+	0.822777i	0.524560	+	0.851373i	$0.324230\pi$
$882$	917.587	+	1302.75i	1.04035	+	1.47704i
$883$	−951.790	+	549.516i	−1.07791	+	0.622329i	−0.930331	−	0.366722i	$-0.880480\pi$
$883$	−951.790	+	549.516i	−1.07791	+	0.622329i	−0.147575	+	0.989051i	$0.547147\pi$
$884$	253.872	−	26.4757i	0.287185	−	0.0299499i
$885$	−618.269	−	274.096i	−0.698609	−	0.309713i
$886$	−630.109	+	1235.42i	−0.711184	+	1.39438i
$887$	607.213	−	723.649i	0.684570	−	0.815838i	−0.306118	−	0.951994i	$-0.599030\pi$
$887$	607.213	−	723.649i	0.684570	−	0.815838i	0.990688	+	0.136155i	$0.0434746\pi$
$888$	521.364	+	743.990i	0.587122	+	0.837827i
$889$	1228.76	+	447.231i	1.38218	+	0.503072i
$890$	−551.921	+	1802.65i	−0.620135	+	2.02545i
$891$	185.913	+	18.3476i	0.208657	+	0.0205921i
$892$	736.885	−	1090.58i	0.826104	−	1.22262i
$893$	132.370	+	48.1786i	0.148230	+	0.0539514i
$894$	−656.443	−	251.094i	−0.734276	−	0.280866i
$895$	240.476	−	286.588i	0.268688	−	0.320210i
$896$	1163.88	+	947.950i	1.29897	+	1.05798i
$897$	−64.4891	−	28.5898i	−0.0718942	−	0.0318727i
$898$	−412.209	−	972.196i	−0.459030	−	1.08262i
$899$	13.8372	−	7.98889i	0.0153917	−	0.00888642i
$900$	372.187	−	1771.61i	0.413542	−	1.96846i
$901$	−280.882	+	486.501i	−0.311744	+	0.539957i
$902$	−1.41623	+	11.4959i	−0.00157009	+	0.0127448i
$903$	435.712	−	452.628i	0.482516	−	0.501249i
$904$	868.803	−	1441.97i	0.961065	−	1.59510i
$905$	−851.697	+	309.992i	−0.941102	+	0.342533i
$906$	−1279.22	−	766.571i	−1.41194	−	0.846105i
$907$	1707.97	−	301.161i	1.88310	−	0.332041i	0.890647	−	0.454696i	$-0.150252\pi$
$907$	1707.97	−	301.161i	1.88310	−	0.332041i	0.992449	+	0.122655i	$0.0391409\pi$
$908$	−604.165	−	1241.26i	−0.665380	−	1.36703i
$909$	568.743	−	357.906i	0.625680	−	0.393736i
$910$	215.242	+	934.034i	0.236529	+	1.02641i
$911$	242.902	+	289.479i	0.266632	+	0.317760i	0.882703	−	0.469931i	$-0.155721\pi$
$911$	242.902	+	289.479i	0.266632	+	0.317760i	−0.616071	+	0.787691i	$0.711277\pi$
$912$	653.381	+	408.303i	0.716426	+	0.447701i
$913$	26.8047	−	152.017i	0.0293589	−	0.166503i
$914$	−223.771	+	145.190i	−0.244826	+	0.158851i
$915$	1561.79	−	764.805i	1.70687	−	0.835853i
$916$	683.763	+	942.719i	0.746466	+	1.02917i
$917$	−185.131			−0.201888
$918$	717.548	−	142.725i	0.781643	−	0.155474i
$919$			577.379i			0.628268i	0.949379	+	0.314134i	$0.101714\pi$
$919$			577.379i			0.628268i	−0.949379	+	0.314134i	$0.898286\pi$
$920$	−112.426	−	327.797i	−0.122202	−	0.356301i
$921$	−340.778	+	506.958i	−0.370009	+	0.550443i
$922$	889.079	−	576.864i	0.964294	−	0.625666i
$923$	−536.715	−	94.6374i	−0.581490	−	0.102532i
$924$	−286.693	−	152.151i	−0.310274	−	0.164666i
$925$	−1458.16	+	1223.54i	−1.57639	+	1.32275i
$926$	−220.068	−	954.978i	−0.237654	−	1.03129i
$927$	1193.34	+	383.556i	1.28731	+	0.413760i
$928$	492.833	−	1051.34i	0.531070	−	1.13291i
$929$	58.9907	+	334.553i	0.0634991	+	0.360121i	0.999956	+	0.00933976i	$0.00297298\pi$
$929$	58.9907	+	334.553i	0.0634991	+	0.360121i	−0.936457	+	0.350782i	$0.885916\pi$
$930$	−0.372959	+	22.9214i	−0.000401031	+	0.0246466i
$931$	−485.997	−	1335.27i	−0.522016	−	1.43423i
$932$	−384.490	−	96.1941i	−0.412543	−	0.103213i
$933$	−533.064	+	153.770i	−0.571344	+	0.164812i
$934$	47.5085	−	385.638i	0.0508656	−	0.412889i
$935$	−234.801	−	135.562i	−0.251124	−	0.144986i
$936$	335.048	+	52.3923i	0.357957	+	0.0559747i
$937$	583.029	+	1009.84i	0.622230	+	1.07773i	0.989070	+	0.147449i	$0.0471063\pi$
$937$	583.029	+	1009.84i	0.622230	+	1.07773i	−0.366840	+	0.930284i	$0.619560\pi$
$938$	−866.743	−	2044.21i	−0.924033	−	2.17933i
$939$	330.874	−	35.3073i	0.352368	−	0.0376010i
$940$	218.928	+	211.759i	0.232902	+	0.225275i
$941$	398.127	+	334.068i	0.423089	+	0.355014i	0.829337	−	0.558749i	$-0.188718\pi$
$941$	398.127	+	334.068i	0.423089	+	0.355014i	−0.406248	+	0.913763i	$0.633163\pi$
$942$	−863.982	+	701.334i	−0.917179	+	0.744516i
$943$	4.28758	−	11.7800i	0.00454675	−	0.0124921i
$944$	385.685	−	155.102i	0.408564	−	0.164303i
$945$	861.407	+	2608.80i	0.911542	+	2.76064i
$946$	−24.1156	+	78.7647i	−0.0254921	+	0.0832608i
$947$	−456.322	+	1253.73i	−0.481861	+	1.32390i	0.426036	+	0.904706i	$0.359910\pi$
$947$	−456.322	+	1253.73i	−0.481861	+	1.32390i	−0.907896	+	0.419195i	$0.862312\pi$
$948$	96.3087	−	689.170i	0.101591	−	0.726973i
$949$	−162.605	−	136.441i	−0.171343	−	0.143774i
$950$	−733.462	+	1438.06i	−0.772065	+	1.51375i
$951$	239.990	+	329.218i	0.252356	+	0.346181i
$952$	−1247.41	−	244.040i	−1.31030	−	0.256345i
$953$	8.15378	+	14.1228i	0.00855591	+	0.0148193i	0.870272	−	0.492572i	$-0.163943\pi$
$953$	8.15378	+	14.1228i	0.00855591	+	0.0148193i	−0.861716	+	0.507391i	$0.830610\pi$
$954$	−526.285	+	529.210i	−0.551662	+	0.554728i
$955$	−1906.90	−	1100.95i	−1.99676	−	1.15283i
$956$	421.505	+	188.074i	0.440905	+	0.196730i
$957$	−60.3500	+	243.698i	−0.0630617	+	0.254648i
$958$	−42.9054	+	2.23120i	−0.0447864	+	0.00232902i
$959$	−426.364	−	1171.43i	−0.444592	−	1.22151i
$960$	930.424	+	1381.90i	0.969191	+	1.43948i
$961$	166.842	+	946.209i	0.173613	+	0.984609i
$962$	−243.081	−	260.884i	−0.252683	−	0.271189i
$963$	−34.4022	+	250.553i	−0.0357240	+	0.260180i
$964$	33.0123	−	466.682i	0.0342452	−	0.484110i
$965$	−1.77015	+	1.48533i	−0.00183436	+	0.00153921i
$966$	265.386	+	230.146i	0.274726	+	0.238246i
$967$	817.785	+	144.198i	0.845693	+	0.149118i	0.579673	−	0.814849i	$-0.303180\pi$
$967$	817.785	+	144.198i	0.845693	+	0.149118i	0.266020	+	0.963968i	$0.414291\pi$
$968$	−925.284	−	17.2722i	−0.955872	−	0.0178432i
$969$	−650.885	−	44.4763i	−0.671708	−	0.0458991i
$970$	−1822.40	+	2416.38i	−1.87876	+	2.49111i
$971$		−	308.493i		−	0.317706i	−0.987302	−	0.158853i	$-0.949220\pi$
$971$		−	308.493i		−	0.317706i	0.987302	−	0.158853i	$-0.0507796\pi$
$972$	970.091	+	60.8893i	0.998036	+	0.0626433i
$973$	−662.598			−0.680984
$974$	1069.13	+	806.327i	1.09767	+	0.827851i
$975$	−48.4393	+	708.883i	−0.0496814	+	0.727059i
$976$	−331.953	+	1016.06i	−0.340115	+	1.04104i
$977$	98.4489	−	558.332i	0.100767	−	0.571476i	−0.892060	−	0.451916i	$-0.850741\pi$
$977$	98.4489	−	558.332i	0.100767	−	0.571476i	0.992827	−	0.119560i	$-0.0381482\pi$
$978$	12.0702	−	13.9184i	0.0123417	−	0.0142315i
$979$	161.057	+	191.940i	0.164511	+	0.196057i
$980$	216.799	−	3064.80i	0.221224	−	3.12735i
$981$	−114.012	−	15.6545i	−0.116220	−	0.0159576i
$982$	849.839	−	791.847i	0.865417	−	0.806361i
$983$	−36.2725	+	6.39583i	−0.0368998	+	0.00650644i	−0.192068	−	0.981382i	$-0.561519\pi$
$983$	−36.2725	+	6.39583i	−0.0368998	+	0.00650644i	0.155168	+	0.987888i	$0.450408\pi$
$984$	−5.22986	+	60.0374i	−0.00531490	+	0.0610137i
$985$	417.918	−	152.110i	0.424282	−	0.154426i
$986$	51.0599	+	981.866i	0.0517848	+	0.995808i
$987$	−299.695	−	74.2172i	−0.303642	−	0.0751947i
$988$	−276.163	−	123.223i	−0.279518	−	0.124720i
$989$	44.5767	−	77.2091i	0.0450725	−	0.0780678i
$990$	−255.413	−	254.002i	−0.257993	−	0.256567i
$991$	988.565	−	570.748i	0.997543	−	0.575932i	0.0900228	−	0.995940i	$-0.471306\pi$
$991$	988.565	−	570.748i	0.997543	−	0.575932i	0.907520	+	0.420008i	$0.137973\pi$
$992$	−9.94367	−	9.98391i	−0.0100239	−	0.0100644i
$993$	431.527	−	314.571i	0.434569	−	0.316788i
$994$	2417.61	+	1233.06i	2.43220	+	1.24051i
$995$	−554.311	+	660.602i	−0.557097	+	0.663922i
$996$	111.156	−	795.413i	0.111602	−	0.798608i
$997$	1263.46	+	459.861i	1.26726	+	0.461245i	0.886199	−	0.463306i	$-0.153337\pi$
$997$	1263.46	+	459.861i	1.26726	+	0.461245i	0.381060	+	0.924550i	$0.375559\pi$
$998$	−919.900	−	281.648i	−0.921744	−	0.282212i
$999$	−762.774	−	680.256i	−0.763538	−	0.680937i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	108.3.j.a.31.10	yes	204
3.2	odd	2		324.3.j.a.307.25		204
4.3	odd	2	inner	108.3.j.a.31.17	yes	204
12.11	even	2		324.3.j.a.307.18		204
27.7	even	9	inner	108.3.j.a.7.17	yes	204
27.20	odd	18		324.3.j.a.19.18		204
108.7	odd	18	inner	108.3.j.a.7.10	✓	204
108.47	even	18		324.3.j.a.19.25		204

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
108.3.j.a.7.10	✓	204	108.7	odd	18	inner
108.3.j.a.7.17	yes	204	27.7	even	9	inner
108.3.j.a.31.10	yes	204	1.1	even	1	trivial
108.3.j.a.31.17	yes	204	4.3	odd	2	inner
324.3.j.a.19.18		204	27.20	odd	18
324.3.j.a.19.25		204	108.47	even	18
324.3.j.a.307.18		204	12.11	even	2
324.3.j.a.307.25		204	3.2	odd	2

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)

\(f(q)\)	\(=\)	\(q+(-1.20427 + 1.59678i) q^{2} +(-0.204519 + 2.99302i) q^{3} +(-1.09944 - 3.84594i) q^{4} +(1.50670 - 8.54492i) q^{5} +(-4.53291 - 3.93099i) q^{6} +(-7.53806 - 8.98351i) q^{7} +(7.46516 + 2.87599i) q^{8} +(-8.91634 - 1.22426i) q^{9} +O(q^{10})\)	\(q+(-1.20427 + 1.59678i) q^{2} +(-0.204519 + 2.99302i) q^{3} +(-1.09944 - 3.84594i) q^{4} +(1.50670 - 8.54492i) q^{5} +(-4.53291 - 3.93099i) q^{6} +(-7.53806 - 8.98351i) q^{7} +(7.46516 + 2.87599i) q^{8} +(-8.91634 - 1.22426i) q^{9} +(11.8299 + 12.6963i) q^{10} +(2.27133 - 0.400497i) q^{11} +(11.7358 - 2.50409i) q^{12} +(-4.42594 + 1.61091i) q^{13} +(23.4226 - 1.21804i) q^{14} +(25.2670 + 6.25718i) q^{15} +(-13.5824 + 8.45678i) q^{16} +(6.77412 - 11.7331i) q^{17} +(12.6926 - 12.7631i) q^{18} +(-13.9009 + 8.02568i) q^{19} +(-34.5197 + 3.59998i) q^{20} +(28.4295 - 20.7243i) q^{21} +(-2.09580 + 4.10914i) q^{22} +(3.20904 - 3.82439i) q^{23} +(-10.1347 + 21.7552i) q^{24} +(-47.2531 - 17.1987i) q^{25} +(2.75777 - 9.00726i) q^{26} +(5.48779 - 26.4364i) q^{27} +(-26.2623 + 38.8678i) q^{28} +(34.0967 + 12.4102i) q^{29} +(-40.4197 + 32.8105i) q^{30} +(0.283047 - 0.337322i) q^{31} +(2.85334 - 31.8725i) q^{32} +(0.734166 + 6.88006i) q^{33} +(10.5774 + 24.9467i) q^{34} +(-88.1209 + 50.8766i) q^{35} +(5.09460 + 35.6377i) q^{36} +(18.9267 - 32.7821i) q^{37} +(3.92521 - 31.8619i) q^{38} +(-3.91630 - 13.5764i) q^{39} +(35.8228 - 59.4560i) q^{40} +(2.35960 - 0.858824i) q^{41} +(-1.14474 + 70.3535i) q^{42} +(17.5866 - 3.10099i) q^{43} +(-4.03749 - 8.29508i) q^{44} +(-23.8954 + 74.3448i) q^{45} +(2.24216 + 9.72977i) q^{46} +(-5.64102 - 6.72271i) q^{47} +(-22.5334 - 42.3821i) q^{48} +(-15.3723 + 87.1809i) q^{49} +(84.3684 - 54.7411i) q^{50} +(33.7320 + 22.6747i) q^{51} +(11.0615 + 15.2508i) q^{52} -41.4639 q^{53} +(35.6045 + 40.5995i) q^{54} -20.0118i q^{55} +(-30.4364 - 88.7428i) q^{56} +(-21.1780 - 43.2471i) q^{57} +(-60.8781 + 39.4998i) q^{58} +(-25.5867 - 4.51163i) q^{59} +(-3.71489 - 104.055i) q^{60} +(51.1770 - 42.9426i) q^{61} +(0.197764 + 0.858193i) q^{62} +(56.2138 + 89.3286i) q^{63} +(47.4574 + 42.9395i) q^{64} +(7.09654 + 40.2465i) q^{65} +(-11.8701 - 7.11317i) q^{66} +(-32.3784 - 88.9589i) q^{67} +(-52.5726 - 13.1529i) q^{68} +(10.7902 + 10.3869i) q^{69} +(24.8828 - 201.980i) q^{70} +(100.208 + 57.8552i) q^{71} +(-63.0410 - 34.7826i) q^{72} +(22.5335 + 39.0292i) q^{73} +(29.5529 + 69.7005i) q^{74} +(61.1403 - 137.912i) q^{75} +(46.1495 + 44.6382i) q^{76} +(-20.7193 - 17.3856i) q^{77} +(26.3949 + 10.0962i) q^{78} +(19.8334 - 54.4917i) q^{79} +(51.7978 + 128.803i) q^{80} +(78.0024 + 21.8318i) q^{81} +(-1.47025 + 4.80203i) q^{82} +(22.8909 - 62.8923i) q^{83} +(-110.961 - 86.5529i) q^{84} +(-90.0519 - 75.5626i) q^{85} +(-16.2275 + 31.8164i) q^{86} +(-44.1173 + 99.5139i) q^{87} +(18.1077 + 3.54255i) q^{88} +(54.3190 + 94.0833i) q^{89} +(-89.9360 - 127.687i) q^{90} +(47.8347 + 27.6174i) q^{91} +(-18.2365 - 8.13708i) q^{92} +(0.951723 + 0.916153i) q^{93} +(17.5281 - 0.911509i) q^{94} +(47.6343 + 130.874i) q^{95} +(94.8116 + 15.0586i) q^{96} +(30.2853 + 171.757i) q^{97} +(-120.697 - 129.536i) q^{98} +(-20.7423 + 0.790274i) 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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