LMFDB - Embedded newform 75.3.k.a.37.9

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [75,3,Mod(13,75)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(75, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([0, 19]))

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

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

chi := DirichletCharacter("75.13");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 75 = 3 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	75.k (of order $20$, degree $8$, 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:	$2.04360198270$
Analytic rank:	$0$
Dimension:	$80$
Relative dimension:	$10$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			37.9
Character	$\chi$	$=$	75.37
Dual form			75.3.k.a.73.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.495586 + 3.12901i) q^{2} +(1.54327 + 0.786335i) q^{3} +(-5.74087 + 1.86532i) q^{4} +(-4.93946 + 0.775740i) q^{5} +(-1.69563 + 5.21860i) q^{6} +(1.18776 + 1.18776i) q^{7} +(-2.92871 - 5.74792i) q^{8} +(1.76336 + 2.42705i) q^{9} +O(q^{10})$	\(q+(0.495586 + 3.12901i) q^{2} +(1.54327 + 0.786335i) q^{3} +(-5.74087 + 1.86532i) q^{4} +(-4.93946 + 0.775740i) q^{5} +(-1.69563 + 5.21860i) q^{6} +(1.18776 + 1.18776i) q^{7} +(-2.92871 - 5.74792i) q^{8} +(1.76336 + 2.42705i) q^{9} +(-4.87523 - 15.0712i) q^{10} +(15.6843 + 11.3953i) q^{11} +(-10.3265 - 1.63555i) q^{12} +(3.58741 - 22.6500i) q^{13} +(-3.12787 + 4.30515i) q^{14} +(-8.23290 - 2.68689i) q^{15} +(-3.00002 + 2.17964i) q^{16} +(8.00694 - 4.07974i) q^{17} +(-6.72037 + 6.72037i) q^{18} +(1.92173 + 0.624407i) q^{19} +(26.9098 - 13.6671i) q^{20} +(0.899055 + 2.76701i) q^{21} +(-27.8831 + 54.7237i) q^{22} +(-9.47808 + 1.50118i) q^{23} -11.1735i q^{24} +(23.7965 - 7.66347i) q^{25} +72.6501 q^{26} +(0.812857 + 5.13218i) q^{27} +(-9.03432 - 4.60322i) q^{28} +(6.89023 - 2.23877i) q^{29} +(4.32719 - 27.0924i) q^{30} +(6.18547 - 19.0369i) q^{31} +(-26.5532 - 26.5532i) q^{32} +(15.2446 + 29.9192i) q^{33} +(16.7337 + 23.0319i) q^{34} +(-6.78828 - 4.94549i) q^{35} +(-14.6504 - 10.6442i) q^{36} +(-6.10768 - 0.967361i) q^{37} +(-1.00139 + 6.32255i) q^{38} +(23.3469 - 32.1342i) q^{39} +(18.9252 + 26.1197i) q^{40} +(-42.5424 + 30.9089i) q^{41} +(-8.21243 + 4.18444i) q^{42} +(-37.0298 + 37.0298i) q^{43} +(-111.298 - 36.1628i) q^{44} +(-10.5928 - 10.6204i) q^{45} +(-9.39441 - 28.9130i) q^{46} +(31.2968 - 61.4234i) q^{47} +(-6.34376 + 1.00475i) q^{48} -46.1785i q^{49} +(35.7723 + 70.6614i) q^{50} +15.5649 q^{51} +(21.6547 + 136.723i) q^{52} +(-68.2278 - 34.7638i) q^{53} +(-15.6558 + 5.08688i) q^{54} +(-86.3118 - 44.1197i) q^{55} +(3.34854 - 10.3058i) q^{56} +(2.47475 + 2.47475i) q^{57} +(10.4198 + 20.4501i) q^{58} +(3.79039 + 5.21703i) q^{59} +(52.2759 + 0.0680772i) q^{60} +(12.5548 + 9.12158i) q^{61} +(62.6322 + 9.91996i) q^{62} +(-0.788310 + 4.97719i) q^{63} +(61.2073 - 84.2446i) q^{64} +(-0.149320 + 114.662i) q^{65} +(-86.0623 + 62.5279i) q^{66} +(109.367 - 55.7251i) q^{67} +(-38.3568 + 38.3568i) q^{68} +(-15.8076 - 5.13622i) q^{69} +(12.1103 - 23.6915i) q^{70} +(24.4076 + 75.1187i) q^{71} +(8.78614 - 17.2438i) q^{72} +(-17.2715 + 2.73554i) q^{73} -19.5904i q^{74} +(42.7504 + 6.88518i) q^{75} -12.1971 q^{76} +(5.09429 + 32.1641i) q^{77} +(112.119 + 57.1273i) q^{78} +(11.5309 - 3.74661i) q^{79} +(13.1276 - 13.0935i) q^{80} +(-2.78115 + 8.55951i) q^{81} +(-117.798 - 117.798i) q^{82} +(-35.3154 - 69.3104i) q^{83} +(-10.3227 - 14.2080i) q^{84} +(-36.3851 + 26.3630i) q^{85} +(-134.218 - 97.5152i) q^{86} +(12.3939 + 1.96300i) q^{87} +(19.5646 - 123.526i) q^{88} +(-46.9474 + 64.6176i) q^{89} +(27.9817 - 38.4082i) q^{90} +(31.1638 - 22.6418i) q^{91} +(51.6122 - 26.2977i) q^{92} +(24.5152 - 24.5152i) q^{93} +(207.705 + 67.4873i) q^{94} +(-9.97667 - 1.59347i) q^{95} +(-20.0990 - 61.8584i) q^{96} +(-7.42095 + 14.5644i) q^{97} +(144.493 - 22.8854i) q^{98} +58.1606i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 80 q + 4 q^{2} + 4 q^{5} - 4 q^{7} - 12 q^{8}+O(q^{10}) $ 80 * q + 4 * q^2 + 4 * q^5 - 4 * q^7 - 12 * q^8	$ 80 q + 4 q^{2} + 4 q^{5} - 4 q^{7} - 12 q^{8} - 4 q^{10} - 24 q^{12} + 32 q^{13} - 24 q^{15} + 80 q^{16} - 100 q^{17} - 48 q^{18} - 100 q^{19} - 244 q^{20} - 100 q^{22} - 96 q^{23} - 16 q^{25} - 40 q^{26} + 196 q^{28} + 200 q^{29} + 264 q^{30} + 636 q^{32} + 216 q^{33} + 100 q^{34} + 260 q^{35} - 120 q^{36} - 184 q^{37} - 564 q^{38} - 948 q^{40} + 160 q^{41} - 12 q^{42} - 472 q^{43} - 700 q^{44} - 36 q^{45} - 288 q^{47} - 48 q^{48} + 16 q^{50} + 620 q^{52} + 304 q^{53} + 604 q^{55} + 72 q^{57} + 1272 q^{58} + 800 q^{59} + 84 q^{60} - 240 q^{61} + 1212 q^{62} - 12 q^{63} + 100 q^{64} + 272 q^{65} - 80 q^{67} + 104 q^{68} - 260 q^{70} + 36 q^{72} - 116 q^{73} - 24 q^{75} - 88 q^{77} - 120 q^{78} + 200 q^{79} - 164 q^{80} + 180 q^{81} - 168 q^{82} - 1264 q^{83} - 1200 q^{84} - 212 q^{85} - 876 q^{87} - 212 q^{88} - 1500 q^{89} - 444 q^{90} - 1504 q^{92} - 648 q^{93} - 200 q^{94} - 784 q^{95} + 60 q^{96} - 260 q^{97} - 92 q^{98}+O(q^{100}) $ 80 * q + 4 * q^2 + 4 * q^5 - 4 * q^7 - 12 * q^8 - 4 * q^10 - 24 * q^12 + 32 * q^13 - 24 * q^15 + 80 * q^16 - 100 * q^17 - 48 * q^18 - 100 * q^19 - 244 * q^20 - 100 * q^22 - 96 * q^23 - 16 * q^25 - 40 * q^26 + 196 * q^28 + 200 * q^29 + 264 * q^30 + 636 * q^32 + 216 * q^33 + 100 * q^34 + 260 * q^35 - 120 * q^36 - 184 * q^37 - 564 * q^38 - 948 * q^40 + 160 * q^41 - 12 * q^42 - 472 * q^43 - 700 * q^44 - 36 * q^45 - 288 * q^47 - 48 * q^48 + 16 * q^50 + 620 * q^52 + 304 * q^53 + 604 * q^55 + 72 * q^57 + 1272 * q^58 + 800 * q^59 + 84 * q^60 - 240 * q^61 + 1212 * q^62 - 12 * q^63 + 100 * q^64 + 272 * q^65 - 80 * q^67 + 104 * q^68 - 260 * q^70 + 36 * q^72 - 116 * q^73 - 24 * q^75 - 88 * q^77 - 120 * q^78 + 200 * q^79 - 164 * q^80 + 180 * q^81 - 168 * q^82 - 1264 * q^83 - 1200 * q^84 - 212 * q^85 - 876 * q^87 - 212 * q^88 - 1500 * q^89 - 444 * q^90 - 1504 * q^92 - 648 * q^93 - 200 * q^94 - 784 * q^95 + 60 * q^96 - 260 * q^97 - 92 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/75\mathbb{Z}\right)^\times$.

$n$	$26$	$52$
$\chi(n)$	$1$	$e\left(\frac{9}{20}\right)$

Coefficient data

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

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

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

$2$	0.495586	+	3.12901i	0.247793	+	1.56450i	0.726897	+	0.686747i	$0.240962\pi$
$2$	0.495586	+	3.12901i	0.247793	+	1.56450i	−0.479104	+	0.877758i	$0.659038\pi$
$3$	1.54327	+	0.786335i	0.514423	+	0.262112i
$3$	1.54327	+	0.786335i	0.514423	+	0.262112i
$4$	−5.74087	+	1.86532i	−1.43522	+	0.466330i
$5$	−4.93946	+	0.775740i	−0.987891	+	0.155148i
$5$	−4.93946	+	0.775740i	−0.987891	+	0.155148i
$6$	−1.69563	+	5.21860i	−0.282604	+	0.869766i
$7$	1.18776	+	1.18776i	0.169680	+	0.169680i	0.786839	−	0.617159i	$-0.211716\pi$
$7$	1.18776	+	1.18776i	0.169680	+	0.169680i	−0.617159	+	0.786839i	$0.711716\pi$
$8$	−2.92871	−	5.74792i	−0.366089	−	0.718491i
$9$	1.76336	+	2.42705i	0.195928	+	0.269672i
$10$	−4.87523	−	15.0712i	−0.487523	−	1.50712i
$11$	15.6843	+	11.3953i	1.42585	+	1.03594i	0.990771	+	0.135544i	$0.0432783\pi$
$11$	15.6843	+	11.3953i	1.42585	+	1.03594i	0.435075	+	0.900394i	$0.356722\pi$
$12$	−10.3265	−	1.63555i	−0.860539	−	0.136296i
$13$	3.58741	−	22.6500i	0.275955	−	1.74231i	−0.327443	−	0.944871i	$-0.606187\pi$
$13$	3.58741	−	22.6500i	0.275955	−	1.74231i	0.603398	−	0.797440i	$-0.293813\pi$
$14$	−3.12787	+	4.30515i	−0.223419	+	0.307510i
$15$	−8.23290	−	2.68689i	−0.548860	−	0.179126i
$16$	−3.00002	+	2.17964i	−0.187501	+	0.136228i
$17$	8.00694	−	4.07974i	0.470997	−	0.239985i	−0.202348	−	0.979314i	$-0.564857\pi$
$17$	8.00694	−	4.07974i	0.470997	−	0.239985i	0.673344	+	0.739329i	$0.264857\pi$
$18$	−6.72037	+	6.72037i	−0.373354	+	0.373354i
$19$	1.92173	+	0.624407i	0.101144	+	0.0328635i	0.359152	−	0.933279i	$-0.383066\pi$
$19$	1.92173	+	0.624407i	0.101144	+	0.0328635i	−0.258008	+	0.966143i	$0.583066\pi$
$20$	26.9098	−	13.6671i	1.34549	−	0.683355i
$21$	0.899055	+	2.76701i	0.0428121	+	0.131762i
$22$	−27.8831	+	54.7237i	−1.26742	+	2.48744i
$23$	−9.47808	+	1.50118i	−0.412090	+	0.0652687i	−0.359038	−	0.933323i	$-0.616895\pi$
$23$	−9.47808	+	1.50118i	−0.412090	+	0.0652687i	−0.0530526	+	0.998592i	$0.516895\pi$
$24$		−	11.1735i		−	0.465564i
$25$	23.7965	−	7.66347i	0.951858	−	0.306539i
$26$	72.6501			2.79423
$27$	0.812857	+	5.13218i	0.0301058	+	0.190081i
$28$	−9.03432	−	4.60322i	−0.322654	−	0.164401i
$29$	6.89023	−	2.23877i	0.237594	−	0.0771990i	−0.187800	−	0.982207i	$-0.560136\pi$
$29$	6.89023	−	2.23877i	0.237594	−	0.0771990i	0.425394	+	0.905008i	$0.360136\pi$
$30$	4.32719	−	27.0924i	0.144240	−	0.903080i
$31$	6.18547	−	19.0369i	0.199531	−	0.614094i	−0.800362	−	0.599517i	$-0.795360\pi$
$31$	6.18547	−	19.0369i	0.199531	−	0.614094i	0.999894	−	0.0145778i	$-0.00464043\pi$
$32$	−26.5532	−	26.5532i	−0.829788	−	0.829788i
$33$	15.2446	+	29.9192i	0.461957	+	0.906641i
$34$	16.7337	+	23.0319i	0.492167	+	0.677410i
$35$	−6.78828	−	4.94549i	−0.193951	−	0.141300i
$36$	−14.6504	−	10.6442i	−0.406956	−	0.295671i
$37$	−6.10768	−	0.967361i	−0.165072	−	0.0261449i	0.0733512	−	0.997306i	$-0.476631\pi$
$37$	−6.10768	−	0.967361i	−0.165072	−	0.0261449i	−0.238423	+	0.971161i	$0.576631\pi$
$38$	−1.00139	+	6.32255i	−0.0263525	+	0.166383i
$39$	23.3469	−	32.1342i	0.598637	−	0.823954i
$40$	18.9252	+	26.1197i	0.473129	+	0.652993i
$41$	−42.5424	+	30.9089i	−1.03762	+	0.753875i	−0.969820	−	0.243823i	$-0.921598\pi$
$41$	−42.5424	+	30.9089i	−1.03762	+	0.753875i	−0.0678009	+	0.997699i	$0.521598\pi$
$42$	−8.21243	+	4.18444i	−0.195534	+	0.0996296i
$43$	−37.0298	+	37.0298i	−0.861158	+	0.861158i	−0.991473	−	0.130314i	$-0.958401\pi$
$43$	−37.0298	+	37.0298i	−0.861158	+	0.861158i	0.130314	+	0.991473i	$0.458401\pi$
$44$	−111.298	−	36.1628i	−2.52949	−	0.821881i
$45$	−10.5928	−	10.6204i	−0.235395	−	0.236009i
$46$	−9.39441	−	28.9130i	−0.204226	−	0.628544i
$47$	31.2968	−	61.4234i	0.665889	−	1.30688i	−0.272785	−	0.962075i	$-0.587945\pi$
$47$	31.2968	−	61.4234i	0.665889	−	1.30688i	0.938674	−	0.344805i	$-0.112055\pi$
$48$	−6.34376	+	1.00475i	−0.132162	+	0.0209324i
$49$		−	46.1785i		−	0.942418i
$50$	35.7723	+	70.6614i	0.715446	+	1.41323i
$51$	15.5649			0.305194
$52$	21.6547	+	136.723i	0.416437	+	2.62928i
$53$	−68.2278	−	34.7638i	−1.28732	−	0.655921i	−0.329733	−	0.944074i	$-0.606959\pi$
$53$	−68.2278	−	34.7638i	−1.28732	−	0.655921i	−0.957584	+	0.288153i	$0.906959\pi$
$54$	−15.6558	+	5.08688i	−0.289922	+	0.0942014i
$55$	−86.3118	−	44.1197i	−1.56931	−	0.802177i
$56$	3.34854	−	10.3058i	0.0597954	−	0.184031i
$57$	2.47475	+	2.47475i	0.0434166	+	0.0434166i
$58$	10.4198	+	20.4501i	0.179652	+	0.352588i
$59$	3.79039	+	5.21703i	0.0642439	+	0.0884242i	0.839930	−	0.542695i	$-0.182596\pi$
$59$	3.79039	+	5.21703i	0.0642439	+	0.0884242i	−0.775686	+	0.631119i	$0.782596\pi$
$60$	52.2759	+	0.0680772i	0.871265	+	0.00113462i
$61$	12.5548	+	9.12158i	0.205816	+	0.149534i	0.685919	−	0.727678i	$-0.259401\pi$
$61$	12.5548	+	9.12158i	0.205816	+	0.149534i	−0.480103	+	0.877212i	$0.659401\pi$
$62$	62.6322	+	9.91996i	1.01020	+	0.159999i
$63$	−0.788310	+	4.97719i	−0.0125129	+	0.0790031i
$64$	61.2073	−	84.2446i	0.956363	−	1.31632i
$65$	−0.149320	+	114.662i	−0.00229724	+	1.76403i
$66$	−86.0623	+	62.5279i	−1.30397	+	0.947393i
$67$	109.367	−	55.7251i	1.63234	−	0.831719i	0.634048	−	0.773294i	$-0.281392\pi$
$67$	109.367	−	55.7251i	1.63234	−	0.831719i	0.998292	−	0.0584246i	$-0.0186077\pi$
$68$	−38.3568	+	38.3568i	−0.564070	+	0.564070i
$69$	−15.8076	−	5.13622i	−0.229096	−	0.0744379i
$70$	12.1103	−	23.6915i	0.173004	−	0.338450i
$71$	24.4076	+	75.1187i	0.343768	+	1.05801i	0.962240	+	0.272203i	$0.0877523\pi$
$71$	24.4076	+	75.1187i	0.343768	+	1.05801i	−0.618471	+	0.785807i	$0.712248\pi$
$72$	8.78614	−	17.2438i	0.122030	−	0.239497i
$73$	−17.2715	+	2.73554i	−0.236596	+	0.0374731i	−0.273606	−	0.961842i	$-0.588217\pi$
$73$	−17.2715	+	2.73554i	−0.236596	+	0.0374731i	0.0370103	+	0.999315i	$0.488217\pi$
$74$		−	19.5904i		−	0.264735i
$75$	42.7504	+	6.88518i	0.570005	+	0.0918024i
$76$	−12.1971			−0.160488
$77$	5.09429	+	32.1641i	0.0661596	+	0.417715i
$78$	112.119	+	57.1273i	1.43742	+	0.732401i
$79$	11.5309	−	3.74661i	0.145961	−	0.0474255i	−0.235126	−	0.971965i	$-0.575550\pi$
$79$	11.5309	−	3.74661i	0.145961	−	0.0474255i	0.381086	+	0.924540i	$0.375550\pi$
$80$	13.1276	−	13.0935i	0.164095	−	0.163668i
$81$	−2.78115	+	8.55951i	−0.0343352	+	0.105673i
$82$	−117.798	−	117.798i	−1.43656	−	1.43656i
$83$	−35.3154	−	69.3104i	−0.425487	−	0.835066i	−0.999864	−	0.0164748i	$-0.994756\pi$
$83$	−35.3154	−	69.3104i	−0.425487	−	0.835066i	0.574377	−	0.818591i	$-0.305244\pi$
$84$	−10.3227	−	14.2080i	−0.122889	−	0.169143i
$85$	−36.3851	+	26.3630i	−0.428060	+	0.310153i
$86$	−134.218	−	97.5152i	−1.56068	−	1.13390i
$87$	12.3939	+	1.96300i	0.142459	+	0.0225632i
$88$	19.5646	−	123.526i	0.222325	−	1.40370i
$89$	−46.9474	+	64.6176i	−0.527499	+	0.726040i	−0.986747	−	0.162268i	$-0.948119\pi$
$89$	−46.9474	+	64.6176i	−0.527499	+	0.726040i	0.459248	+	0.888308i	$0.348119\pi$
$90$	27.9817	−	38.4082i	0.310908	−	0.426758i
$91$	31.1638	−	22.6418i	0.342459	−	0.248811i
$92$	51.6122	−	26.2977i	0.561002	−	0.285845i
$93$	24.5152	−	24.5152i	0.263605	−	0.263605i
$94$	207.705	+	67.4873i	2.20962	+	0.717950i
$95$	−9.97667	−	1.59347i	−0.105018	−	0.0167734i
$96$	−20.0990	−	61.8584i	−0.209365	−	0.644359i
$97$	−7.42095	+	14.5644i	−0.0765046	+	0.150149i	−0.926090	−	0.377302i	$-0.876852\pi$
$97$	−7.42095	+	14.5644i	−0.0765046	+	0.150149i	0.849586	+	0.527450i	$0.176852\pi$
$98$	144.493	−	22.8854i	1.47442	−	0.233525i
$99$			58.1606i			0.587481i
$100$	−122.317	+	88.3830i	−1.22317	+	0.883830i
$101$	40.9383			0.405329			0.202665	−	0.979248i	$-0.435040\pi$
$101$	40.9383			0.405329			0.202665	+	0.979248i	$0.435040\pi$
$102$	7.71375	+	48.7027i	0.0756250	+	0.477478i
$103$	−5.12126	−	2.60941i	−0.0497210	−	0.0253341i	0.428953	−	0.903327i	$-0.358883\pi$
$103$	−5.12126	−	2.60941i	−0.0497210	−	0.0253341i	−0.478674	+	0.877993i	$0.658883\pi$
$104$	−140.697	+	45.7153i	−1.35286	+	0.439570i
$105$	−6.58732	−	12.9701i	−0.0627364	−	0.123525i
$106$	74.9635	−	230.714i	0.707203	−	2.17655i
$107$	−134.456	−	134.456i	−1.25660	−	1.25660i	−0.952705	−	0.303896i	$-0.901712\pi$
$107$	−134.456	−	134.456i	−1.25660	−	1.25660i	−0.303896	−	0.952705i	$-0.598288\pi$
$108$	−14.2397	−	27.9469i	−0.131849	−	0.258768i
$109$	86.7627	+	119.419i	0.795988	+	1.09558i	0.993336	+	0.115251i	$0.0367671\pi$
$109$	86.7627	+	119.419i	0.795988	+	1.09558i	−0.197348	+	0.980334i	$0.563233\pi$
$110$	95.2761	−	291.936i	0.866146	−	2.65396i
$111$	−8.66511	−	6.29557i	−0.0780641	−	0.0567169i
$112$	−6.15219	−	0.974411i	−0.0549302	−	0.00870009i
$113$	−31.1886	+	196.917i	−0.276005	+	1.74263i	0.327121	+	0.944982i	$0.393922\pi$
$113$	−31.1886	+	196.917i	−0.276005	+	1.74263i	−0.603126	+	0.797646i	$0.706078\pi$
$114$	−6.51706	+	8.96997i	−0.0571672	+	0.0786839i
$115$	45.6520	−	14.7675i	0.396974	−	0.128413i
$116$	−35.3799	+	25.7050i	−0.304999	+	0.221595i
$117$	61.2987	−	31.2332i	0.523921	−	0.266951i
$118$	−14.4457	+	14.4457i	−0.122421	+	0.122421i
$119$	14.3561	+	4.66457i	0.120639	+	0.0391980i
$120$	8.66777	+	55.1912i	0.0722314	+	0.459927i
$121$	78.7533	+	242.378i	0.650854	+	2.00312i
$122$	−22.3195	+	43.8046i	−0.182947	+	0.359054i
$123$	−89.9591	+	14.2481i	−0.731375	+	0.115838i
$124$			120.826i			0.974406i
$125$	−111.597	+	56.3133i	−0.892773	+	0.450506i
$126$	−15.9644			−0.126701
$127$	11.9100	+	75.1965i	0.0937792	+	0.592099i	0.989165	+	0.146808i	$0.0468998\pi$
$127$	11.9100	+	75.1965i	0.0937792	+	0.592099i	−0.895386	+	0.445291i	$0.853100\pi$
$128$	160.100	+	81.5748i	1.25078	+	0.637303i
$129$	−86.2648	+	28.0291i	−0.668719	+	0.217280i
$130$	−358.852	+	56.3576i	−2.76040	+	0.433520i
$131$	−14.7553	+	45.4121i	−0.112636	+	0.346657i	−0.991447	−	0.130513i	$-0.958338\pi$
$131$	−14.7553	+	45.4121i	−0.112636	+	0.346657i	0.878811	+	0.477170i	$0.158338\pi$
$132$	−143.326	−	143.326i	−1.08580	−	1.08580i
$133$	1.54090	+	3.02419i	0.0115857	+	0.0227383i
$134$	228.565	+	314.593i	1.70571	+	2.34771i
$135$	−7.99631	−	24.7196i	−0.0592319	−	0.183108i
$136$	−46.9001	−	34.0749i	−0.344854	−	0.250551i
$137$	−64.3222	−	10.1876i	−0.469505	−	0.0743622i	−0.0828007	−	0.996566i	$-0.526386\pi$
$137$	−64.3222	−	10.1876i	−0.469505	−	0.0743622i	−0.386704	+	0.922204i	$0.626386\pi$
$138$	8.23721	−	52.0077i	0.0596900	−	0.376868i
$139$	−55.8772	+	76.9084i	−0.401994	+	0.553298i	−0.961243	−	0.275702i	$-0.911090\pi$
$139$	−55.8772	+	76.9084i	−0.401994	+	0.553298i	0.559249	+	0.829000i	$0.311090\pi$
$140$	48.1955	+	15.7291i	0.344254	+	0.112351i
$141$	96.5986	−	70.1830i	0.685097	−	0.497752i
$142$	−222.951	+	113.599i	−1.57008	+	0.799995i
$143$	314.371	−	314.371i	2.19840	−	2.19840i
$144$	−10.5802	−	3.43772i	−0.0734736	−	0.0238730i
$145$	−32.2973	+	16.4033i	−0.222740	+	0.113126i
$146$	−17.1191	−	52.6870i	−0.117254	−	0.360870i
$147$	36.3117	−	71.2658i	0.247019	−	0.484801i
$148$	36.8678	−	5.83929i	0.249107	−	0.0394546i
$149$		−	230.938i		−	1.54992i	−0.632013	−	0.774958i	$-0.717771\pi$
$149$		−	230.938i		−	1.54992i	0.632013	−	0.774958i	$-0.282229\pi$
$150$	−0.357287	+	137.179i	−0.00238191	+	0.914524i
$151$	−110.751			−0.733448			−0.366724	−	0.930330i	$-0.619521\pi$
$151$	−110.751			−0.733448			−0.366724	+	0.930330i	$0.619521\pi$
$152$	−2.03915	−	12.8747i	−0.0134154	−	0.0847017i
$153$	24.0208	+	12.2392i	0.156999	+	0.0799949i
$154$	−98.1170	+	31.8802i	−0.637124	+	0.207014i
$155$	−15.7852	+	98.8304i	−0.101840	+	0.637615i
$156$	−74.0907	+	228.028i	−0.474940	+	1.46172i
$157$	101.593	+	101.593i	0.647086	+	0.647086i	0.952288	−	0.305202i	$-0.0987238\pi$
$157$	101.593	+	101.593i	0.647086	+	0.647086i	−0.305202	+	0.952288i	$0.598724\pi$
$158$	17.4377	+	34.2235i	0.110365	+	0.216604i
$159$	−77.9579	−	107.300i	−0.490301	−	0.674841i
$160$	151.757	+	110.560i	0.948480	+	0.691000i
$161$	−13.0407	−	9.47463i	−0.0809982	−	0.0588486i
$162$	−28.1611	−	4.46028i	−0.173834	−	0.0275326i
$163$	37.1197	−	234.365i	0.227728	−	1.43782i	−0.563408	−	0.826179i	$-0.690510\pi$
$163$	37.1197	−	234.365i	0.227728	−	1.43782i	0.791136	−	0.611640i	$-0.209490\pi$
$164$	186.576	−	256.799i	1.13766	−	1.56585i
$165$	−98.5094	−	135.959i	−0.597027	−	0.823991i
$166$	199.371	−	144.852i	1.20103	−	0.872600i
$167$	−55.8762	+	28.4703i	−0.334588	+	0.170481i	−0.613210	−	0.789920i	$-0.710122\pi$
$167$	−55.8762	+	28.4703i	−0.334588	+	0.170481i	0.278623	+	0.960401i	$0.410122\pi$
$168$	13.2715	−	13.2715i	0.0789969	−	0.0789969i
$169$	−339.426	−	110.286i	−2.00844	−	0.652582i
$170$	−100.522	−	100.784i	−0.591306	−	0.592848i
$171$	1.87322	+	5.76518i	0.0109545	+	0.0337145i
$172$	143.511	−	281.656i	0.834365	−	1.63753i
$173$	−5.01427	+	0.794183i	−0.0289842	+	0.00459065i	−0.170910	−	0.985287i	$-0.554671\pi$
$173$	−5.01427	+	0.794183i	−0.0289842	+	0.00459065i	0.141926	+	0.989877i	$0.454671\pi$
$174$			39.7535i			0.228468i
$175$	37.3668	+	19.1621i	0.213525	+	0.109498i
$176$	−71.8909			−0.408471
$177$	1.74726	+	11.0318i	0.00987155	+	0.0623265i
$178$	−225.456	−	114.875i	−1.26660	−	0.645367i
$179$	188.774	−	61.3365i	1.05461	−	0.342662i	0.270131	−	0.962824i	$-0.412933\pi$
$179$	188.774	−	61.3365i	1.05461	−	0.342662i	0.784474	+	0.620161i	$0.212933\pi$
$180$	80.6222	+	41.2114i	0.447901	+	0.228952i
$181$	66.2061	−	203.761i	0.365780	−	1.12575i	−0.583712	−	0.811961i	$-0.698400\pi$
$181$	66.2061	−	203.761i	0.365780	−	1.12575i	0.949491	−	0.313793i	$-0.101600\pi$
$182$	86.2908	+	86.2908i	0.474125	+	0.474125i
$183$	12.2028	+	23.9493i	0.0666819	+	0.130871i
$184$	36.3873	+	50.0828i	0.197757	+	0.272189i
$185$	30.9190	+	0.0402648i	0.167130	+	0.000217648i
$186$	88.8578	+	64.5590i	0.477730	+	0.347091i
$187$	172.073	+	27.2537i	0.920178	+	0.145742i
$188$	−65.0963	+	411.002i	−0.346257	+	2.18618i
$189$	−5.13031	+	7.06127i	−0.0271445	+	0.0373612i
$190$	0.0416814	−	32.0068i	0.000219376	−	0.168457i
$191$	−197.371	+	143.399i	−1.03336	+	0.750779i	−0.968978	−	0.247147i	$-0.920507\pi$
$191$	−197.371	+	143.399i	−1.03336	+	0.750779i	−0.0643804	+	0.997925i	$0.520507\pi$
$192$	160.704	−	81.8826i	0.836998	−	0.426472i
$193$	96.0500	−	96.0500i	0.497668	−	0.497668i	−0.413043	−	0.910711i	$-0.635534\pi$
$193$	96.0500	−	96.0500i	0.497668	−	0.497668i	0.910711	+	0.413043i	$0.135534\pi$
$194$	−49.2500	−	16.0023i	−0.253866	−	0.0824860i
$195$	−90.3930	+	176.837i	−0.463554	+	0.906854i
$196$	86.1377	+	265.104i	0.439478	+	1.35257i
$197$	−43.9267	+	86.2110i	−0.222978	+	0.437619i	−0.975211	−	0.221279i	$-0.928977\pi$
$197$	−43.9267	+	86.2110i	−0.222978	+	0.437619i	0.752233	+	0.658898i	$0.228977\pi$
$198$	−181.985	+	28.8236i	−0.919117	+	0.145574i
$199$			157.888i			0.793407i	0.917947	+	0.396704i	$0.129846\pi$
$199$			157.888i			0.793407i	−0.917947	+	0.396704i	$0.870154\pi$
$200$	−113.742	−	114.336i	−0.568710	−	0.571681i
$201$	212.601			1.05772
$202$	20.2885	+	128.096i	0.100438	+	0.634140i
$203$	10.8431	+	5.52481i	0.0534140	+	0.0272158i
$204$	−89.3561	+	29.0335i	−0.438020	+	0.142321i
$205$	186.159	−	185.675i	0.908094	−	0.905732i
$206$	5.62685	−	17.3177i	0.0273148	−	0.0840664i
$207$	−20.3567	−	20.3567i	−0.0983414	−	0.0983414i
$208$	38.6067	+	75.7698i	0.185609	+	0.364278i
$209$	23.0257	+	31.6921i	0.110171	+	0.151637i
$210$	37.3189	−	27.0396i	0.177709	−	0.128760i
$211$	−133.538	−	97.0213i	−0.632883	−	0.459816i	0.224515	−	0.974471i	$-0.427920\pi$
$211$	−133.538	−	97.0213i	−0.632883	−	0.459816i	−0.857398	+	0.514654i	$0.827920\pi$
$212$	456.533	+	72.3077i	2.15346	+	0.341074i
$213$	−21.4010	+	135.121i	−0.100474	+	0.634370i
$214$	354.080	−	487.350i	1.65458	−	2.27734i
$215$	154.182	−	211.633i	0.717124	−	0.984338i
$216$	27.1188	−	19.7029i	0.125550	−	0.0912173i
$217$	29.9581	−	15.2644i	0.138056	−	0.0703430i
$218$	−330.664	+	330.664i	−1.51681	+	1.51681i
$219$	−28.8056	−	9.35951i	−0.131533	−	0.0427375i
$220$	577.802	+	92.2864i	2.62637	+	0.419483i
$221$	−63.6821	−	195.993i	−0.288154	−	0.886848i
$222$	15.4046	−	30.2332i	0.0693901	−	0.136186i
$223$	−117.328	+	18.5830i	−0.526135	+	0.0833316i	−0.413851	−	0.910345i	$-0.635817\pi$
$223$	−117.328	+	18.5830i	−0.526135	+	0.0833316i	−0.112284	+	0.993676i	$0.535817\pi$
$224$		−	63.0776i		−	0.281596i
$225$	60.5613	+	44.2418i	0.269161	+	0.196630i
$226$	−631.612			−2.79474
$227$	−27.4669	−	173.419i	−0.121000	−	0.763962i	−0.971334	−	0.237719i	$-0.923600\pi$
$227$	−27.4669	−	173.419i	−0.121000	−	0.763962i	0.850334	−	0.526243i	$-0.176400\pi$
$228$	−18.8234	−	9.59101i	−0.0825588	−	0.0420658i
$229$	−323.868	+	105.231i	−1.41427	+	0.459525i	−0.913777	−	0.406215i	$-0.866848\pi$
$229$	−323.868	+	105.231i	−1.41427	+	0.459525i	−0.500494	+	0.865740i	$0.666848\pi$
$230$	68.8323	+	135.527i	0.299271	+	0.589248i
$231$	−17.4299	+	53.6436i	−0.0754540	+	0.232223i
$232$	−33.0478	−	33.0478i	−0.142447	−	0.142447i
$233$	−19.4528	−	38.1783i	−0.0834885	−	0.163855i	0.845488	−	0.533995i	$-0.179310\pi$
$233$	−19.4528	−	38.1783i	−0.0834885	−	0.163855i	−0.928976	+	0.370140i	$0.879310\pi$
$234$	128.108	+	176.325i	0.547470	+	0.753528i
$235$	−106.940	+	327.676i	−0.455066	+	1.39437i
$236$	−31.4916	−	22.8800i	−0.133439	−	0.0969490i
$237$	20.7414	+	3.28511i	0.0875163	+	0.0138612i
$238$	−7.48081	+	47.2320i	−0.0314320	+	0.198454i
$239$	125.868	−	173.243i	0.526645	−	0.724865i	−0.459969	−	0.887935i	$-0.652140\pi$
$239$	125.868	−	173.243i	0.526645	−	0.724865i	0.986615	+	0.163070i	$0.0521396\pi$
$240$	30.5553	−	9.88405i	0.127314	−	0.0411835i
$241$	184.068	−	133.733i	0.763768	−	0.554910i	−0.136296	−	0.990668i	$-0.543520\pi$
$241$	184.068	−	133.733i	0.763768	−	0.554910i	0.900064	+	0.435758i	$0.143520\pi$
$242$	−719.373	+	366.539i	−2.97262	+	1.51462i
$243$	−11.0227	+	11.0227i	−0.0453609	+	0.0453609i
$244$	−89.0900	−	28.9471i	−0.365123	−	0.118636i
$245$	35.8225	+	228.096i	0.146214	+	0.931006i
$246$	−89.1651	−	274.422i	−0.362460	−	1.11554i
$247$	21.0369	−	41.2872i	0.0851696	−	0.167155i
$248$	−127.538	+	20.2001i	−0.514267	+	0.0814519i
$249$		−	134.734i		−	0.541102i
$250$	−231.511	−	321.279i	−0.926042	−	1.28512i
$251$	227.584			0.906711			0.453356	−	0.891330i	$-0.350227\pi$
$251$	227.584			0.906711			0.453356	+	0.891330i	$0.350227\pi$
$252$	−4.75848	−	30.0439i	−0.0188829	−	0.119222i
$253$	−165.764	−	84.4608i	−0.655192	−	0.333837i
$254$	−229.388	+	74.5328i	−0.903103	+	0.293436i
$255$	−76.8822	+	12.0743i	−0.301499	+	0.0473503i
$256$	−47.1909	+	145.239i	−0.184340	+	0.567339i
$257$	195.043	+	195.043i	0.758923	+	0.758923i	0.976126	−	0.217203i	$-0.0696935\pi$
$257$	195.043	+	195.043i	0.758923	+	0.758923i	−0.217203	+	0.976126i	$0.569694\pi$
$258$	−130.455	−	256.032i	−0.505640	−	0.992374i
$259$	−6.10545	−	8.40344i	−0.0235732	−	0.0324457i
$260$	−213.024	−	658.537i	−0.819323	−	2.53283i
$261$	17.5835	+	12.7752i	0.0673699	+	0.0489471i
$262$	−149.407	−	23.6638i	−0.570257	−	0.0903199i
$263$	0.523791	−	3.30708i	0.00199160	−	0.0125745i	−0.986673	−	0.162719i	$-0.947974\pi$
$263$	0.523791	−	3.30708i	0.00199160	−	0.0125745i	0.988664	+	0.150144i	$0.0479738\pi$
$264$	127.326	−	175.249i	0.482296	−	0.663823i
$265$	363.976	+	118.787i	1.37349	+	0.448254i
$266$	−8.69908	+	6.32025i	−0.0327033	+	0.0237603i
$267$	−123.264	+	62.8059i	−0.461661	+	0.235228i
$268$	−523.915	+	523.915i	−1.95491	+	1.95491i
$269$	−86.8988	−	28.2351i	−0.323044	−	0.104963i	0.143006	−	0.989722i	$-0.454323\pi$
$269$	−86.8988	−	28.2351i	−0.323044	−	0.104963i	−0.466050	+	0.884759i	$0.654323\pi$
$270$	73.3850	−	37.2712i	0.271796	−	0.138042i
$271$	−61.5834	−	189.534i	−0.227245	−	0.699388i	−0.998056	−	0.0623241i	$-0.980149\pi$
$271$	−61.5834	−	189.534i	−0.227245	−	0.699388i	0.770811	−	0.637064i	$-0.219851\pi$
$272$	−15.1286	+	29.6916i	−0.0556199	+	0.109160i
$273$	65.8981	−	10.4372i	0.241385	−	0.0382316i
$274$		−	206.313i		−	0.752969i
$275$	460.559	+	150.972i	1.67476	+	0.548989i
$276$	100.330			0.363516
$277$	18.8968	+	119.310i	0.0682196	+	0.430721i	0.998033	+	0.0626903i	$0.0199680\pi$
$277$	18.8968	+	119.310i	0.0682196	+	0.430721i	−0.929813	+	0.368031i	$0.880032\pi$
$278$	−268.339	−	136.726i	−0.965248	−	0.491819i
$279$	57.1108	−	18.5564i	0.204698	−	0.0665105i
$280$	−8.54539	+	53.5024i	−0.0305192	+	0.191080i
$281$	−104.542	+	321.746i	−0.372034	+	1.14500i	0.573424	+	0.819259i	$0.305615\pi$
$281$	−104.542	+	321.746i	−0.372034	+	1.14500i	−0.945458	+	0.325744i	$0.894385\pi$
$282$	267.476	+	267.476i	0.948498	+	0.948498i
$283$	81.8443	+	160.629i	0.289203	+	0.567592i	0.989203	−	0.146550i	$-0.0468170\pi$
$283$	81.8443	+	160.629i	0.289203	+	0.567592i	−0.700001	+	0.714142i	$0.746817\pi$
$284$	−280.241	−	385.719i	−0.986765	−	1.35817i
$285$	−14.1437	−	10.3042i	−0.0496269	−	0.0361549i
$286$	1139.47	+	827.871i	3.98415	+	2.89465i
$287$	−87.2425	−	13.8179i	−0.303981	−	0.0481458i
$288$	17.6232	−	111.269i	0.0611918	−	0.386350i
$289$	−122.403	+	168.473i	−0.423540	+	0.582953i
$290$	−67.3323	−	92.9292i	−0.232180	−	0.320446i
$291$	−22.9050	+	16.6415i	−0.0787115	+	0.0571872i
$292$	94.0508	−	47.9213i	0.322092	−	0.164114i
$293$	195.248	−	195.248i	0.666376	−	0.666376i	−0.290499	−	0.956875i	$-0.593821\pi$
$293$	195.248	−	195.248i	0.666376	−	0.666376i	0.956875	+	0.290499i	$0.0938213\pi$
$294$	240.987	+	78.3014i	0.819683	+	0.266331i
$295$	−22.7695	−	22.8289i	−0.0771849	−	0.0773862i
$296$	12.3273	+	37.9396i	0.0416463	+	0.128174i
$297$	−45.7337	+	89.7575i	−0.153986	+	0.302214i
$298$	722.606	−	114.450i	2.42485	−	0.384059i
$299$			220.064i			0.736001i
$300$	−258.267	+	40.2163i	−0.860891	+	0.134054i
$301$	−87.9650			−0.292242
$302$	−54.8865	−	346.540i	−0.181743	−	1.14748i
$303$	63.1788	+	32.1912i	0.208511	+	0.106242i
$304$	−7.12620	+	2.31544i	−0.0234415	+	0.00761659i
$305$	−69.0898	−	35.3164i	−0.226524	−	0.115791i
$306$	−26.3922	+	81.2270i	−0.0862492	+	0.265448i
$307$	41.8689	+	41.8689i	0.136381	+	0.136381i	0.772001	−	0.635621i	$-0.219256\pi$
$307$	41.8689	+	41.8689i	0.136381	+	0.136381i	−0.635621	+	0.772001i	$0.719256\pi$
$308$	−89.2420	−	175.147i	−0.289747	−	0.568660i
$309$	−5.85161	−	8.05406i	−0.0189373	−	0.0260649i
$310$	−317.064	−	0.412902i	−1.02279	−	0.00133194i
$311$	−125.327	−	91.0554i	−0.402981	−	0.292783i	0.367773	−	0.929916i	$-0.380120\pi$
$311$	−125.327	−	91.0554i	−0.402981	−	0.292783i	−0.770754	+	0.637133i	$0.780120\pi$
$312$	−253.081	−	40.0841i	−0.811158	−	0.128475i
$313$	−13.2116	+	83.4147i	−0.0422096	+	0.266501i	−0.999763	−	0.0217539i	$-0.993075\pi$
$313$	−13.2116	+	83.4147i	−0.0422096	+	0.266501i	0.957554	+	0.288255i	$0.0930750\pi$
$314$	−267.536	+	368.232i	−0.852026	+	1.17271i
$315$	0.0328121	−	25.1961i	0.000104166	−	0.0799878i
$316$	−59.2087	+	43.0176i	−0.187369	+	0.136132i
$317$	−314.454	+	160.222i	−0.991968	+	0.505433i	−0.873133	−	0.487481i	$-0.837916\pi$
$317$	−314.454	+	160.222i	−0.991968	+	0.505433i	−0.118834	+	0.992914i	$0.537916\pi$
$318$	297.107	−	297.107i	0.934299	−	0.934299i
$319$	133.580	+	43.4028i	0.418746	+	0.136059i
$320$	−236.979	+	463.603i	−0.740558	+	1.44876i
$321$	−101.775	−	313.230i	−0.317055	−	0.975794i
$322$	23.1834	−	45.5000i	0.0719982	−	0.141304i
$323$	17.9346	−	2.84056i	0.0555250	−	0.00879430i
$324$		−	54.3268i		−	0.167675i
$325$	−88.2102	−	566.483i	−0.271416	−	1.74302i
$326$	751.725			2.30591
$327$	39.9952	+	252.520i	0.122309	+	0.772231i
$328$	302.257	+	154.007i	0.921514	+	0.469535i
$329$	110.129	−	35.7831i	0.334739	−	0.108763i
$330$	376.596	−	375.616i	1.14120	−	1.13823i
$331$	−130.780	+	402.499i	−0.395105	+	1.21601i	0.533774	+	0.845627i	$0.320773\pi$
$331$	−130.780	+	402.499i	−0.395105	+	1.21601i	−0.928879	+	0.370382i	$0.879227\pi$
$332$	332.028	+	332.028i	1.00008	+	1.00008i
$333$	−8.42217	−	16.5294i	−0.0252918	−	0.0496380i
$334$	−116.775	−	160.728i	−0.349627	−	0.481220i
$335$	−496.984	+	360.092i	−1.48353	+	1.07490i
$336$	−8.72826	−	6.34145i	−0.0259770	−	0.0188734i
$337$	−144.107	−	22.8243i	−0.427617	−	0.0677279i	−0.0610835	−	0.998133i	$-0.519456\pi$
$337$	−144.107	−	22.8243i	−0.427617	−	0.0677279i	−0.366534	+	0.930405i	$0.619456\pi$
$338$	176.872	−	1116.72i	0.523290	−	3.30392i
$339$	−202.975	+	279.371i	−0.598746	+	0.824104i
$340$	159.707	−	219.217i	0.469726	−	0.644754i
$341$	313.947	−	228.096i	0.920665	−	0.668902i
$342$	−17.1110	+	8.71847i	−0.0500321	+	0.0254926i
$343$	113.049	−	113.049i	0.329589	−	0.329589i
$344$	321.294	+	104.395i	0.933995	+	0.303473i
$345$	82.0656	+	13.1075i	0.237871	+	0.0379927i
$346$	−4.97001	−	15.2961i	−0.0143642	−	0.0442084i
$347$	135.160	−	265.267i	0.389512	−	0.764459i	−0.610100	−	0.792324i	$-0.708871\pi$
$347$	135.160	−	265.267i	0.389512	−	0.764459i	0.999612	+	0.0278649i	$0.00887082\pi$
$348$	−74.8134	+	11.8493i	−0.214981	+	0.0340496i
$349$		−	595.119i		−	1.70521i	−0.522554	−	0.852606i	$-0.675021\pi$
$349$		−	595.119i		−	1.70521i	0.522554	−	0.852606i	$-0.324979\pi$
$350$	−41.4399	+	126.418i	−0.118400	+	0.361193i
$351$	119.160			0.339488
$352$	−113.886	−	719.051i	−0.323541	−	2.04276i
$353$	−206.591	−	105.263i	−0.585243	−	0.298196i	0.136188	−	0.990683i	$-0.456515\pi$
$353$	−206.591	−	105.263i	−0.585243	−	0.298196i	−0.721430	+	0.692487i	$0.756515\pi$
$354$	−33.6527	+	10.9344i	−0.0950640	+	0.0308882i
$355$	−178.833	−	352.112i	−0.503754	−	0.991864i
$356$	148.986	−	458.533i	0.418501	−	1.28801i
$357$	18.4873	+	18.4873i	0.0517853	+	0.0517853i
$358$	285.477	+	560.279i	0.797420	+	1.56503i
$359$	161.377	+	222.116i	0.449518	+	0.618709i	0.972294	−	0.233761i	$-0.0751035\pi$
$359$	161.377	+	222.116i	0.449518	+	0.618709i	−0.522776	+	0.852470i	$0.675103\pi$
$360$	−30.0221	+	91.9906i	−0.0833946	+	0.255530i
$361$	−288.752	−	209.791i	−0.799867	−	0.581137i
$362$	670.382	+	106.178i	1.85189	+	0.293310i
$363$	−69.0525	+	435.980i	−0.190227	+	1.20105i
$364$	−136.673	+	188.114i	−0.375475	+	0.516797i
$365$	83.1898	−	26.9103i	0.227917	−	0.0737268i
$366$	−68.8901	+	50.0516i	−0.188224	+	0.136753i
$367$	−385.431	+	196.387i	−1.05022	+	0.535113i	−0.891880	−	0.452271i	$-0.850614\pi$
$367$	−385.431	+	196.387i	−1.05022	+	0.535113i	−0.158339	+	0.987385i	$0.550614\pi$
$368$	25.1624	−	25.1624i	0.0683760	−	0.0683760i
$369$	−150.035	−	48.7493i	−0.406599	−	0.132112i
$370$	15.1971	+	96.7658i	0.0410731	+	0.261529i
$371$	−39.7472	−	122.329i	−0.107135	−	0.329728i
$372$	−95.0100	+	186.468i	−0.255403	+	0.501257i
$373$	54.8550	−	8.68817i	0.147064	−	0.0232927i	−0.0824682	−	0.996594i	$-0.526280\pi$
$373$	54.8550	−	8.68817i	0.147064	−	0.0232927i	0.229532	+	0.973301i	$0.426280\pi$
$374$			551.926i			1.47574i
$375$	−216.505	−	0.845845i	−0.577346	−	0.00225559i
$376$	−444.716			−1.18276
$377$	−25.9902	−	164.095i	−0.0689394	−	0.435266i
$378$	−24.6373	−	12.5533i	−0.0651780	−	0.0332099i
$379$	279.971	−	90.9680i	0.738709	−	0.240021i	0.0845931	−	0.996416i	$-0.473041\pi$
$379$	279.971	−	90.9680i	0.738709	−	0.240021i	0.654116	+	0.756395i	$0.273041\pi$
$380$	60.2471	−	9.46179i	0.158545	−	0.0248994i
$381$	−40.7494	+	125.414i	−0.106954	+	0.329170i
$382$	−546.511	−	546.511i	−1.43066	−	1.43066i
$383$	106.153	+	208.336i	0.277161	+	0.543959i	0.987061	−	0.160343i	$-0.0512601\pi$
$383$	106.153	+	208.336i	0.277161	+	0.543959i	−0.709900	+	0.704302i	$0.751260\pi$
$384$	182.932	+	251.784i	0.476384	+	0.655687i
$385$	−50.1140	−	154.921i	−0.130166	−	0.402393i
$386$	348.142	+	252.940i	0.901923	+	0.655286i
$387$	−155.170	−	24.5765i	−0.400956	−	0.0635052i
$388$	15.4353	−	97.4550i	0.0397818	−	0.251173i
$389$	−72.1992	+	99.3736i	−0.185602	+	0.255459i	−0.891671	−	0.452684i	$-0.850467\pi$
$389$	−72.1992	+	99.3736i	−0.185602	+	0.255459i	0.706069	+	0.708143i	$0.250467\pi$
$390$	−598.121	−	195.203i	−1.53364	−	0.500520i
$391$	−69.7660	+	50.6880i	−0.178430	+	0.129637i
$392$	−265.430	+	135.243i	−0.677118	+	0.345009i
$393$	−58.4805	+	58.4805i	−0.148805	+	0.148805i
$394$	−291.524	−	94.7220i	−0.739910	−	0.240411i
$395$	−54.0499	+	27.4512i	−0.136835	+	0.0694967i
$396$	−108.488	−	333.893i	−0.273960	−	0.843163i
$397$	20.6567	−	40.5411i	0.0520321	−	0.102119i	−0.863526	−	0.504304i	$-0.831749\pi$
$397$	20.6567	−	40.5411i	0.0520321	−	0.102119i	0.915558	+	0.402185i	$0.131749\pi$
$398$	−494.033	+	78.2471i	−1.24129	+	0.196601i
$399$			5.87881i			0.0147339i
$400$	−54.6862	+	74.8583i	−0.136715	+	0.187146i
$401$	245.719			0.612765			0.306383	−	0.951908i	$-0.400881\pi$
$401$	245.719			0.612765			0.306383	+	0.951908i	$0.400881\pi$
$402$	105.362	+	665.230i	0.262095	+	1.65480i
$403$	−408.997	−	208.395i	−1.01488	−	0.517108i
$404$	−235.021	+	76.3630i	−0.581736	+	0.189017i
$405$	7.09743	−	44.4368i	0.0175245	−	0.109720i
$406$	−11.9135	+	36.6660i	−0.0293436	+	0.0903104i
$407$	−84.7713	−	84.7713i	−0.208283	−	0.208283i
$408$	−45.5851	−	89.4659i	−0.111728	−	0.219279i
$409$	319.259	+	439.422i	0.780584	+	1.07438i	0.995217	+	0.0976865i	$0.0311442\pi$
$409$	319.259	+	439.422i	0.780584	+	1.07438i	−0.214634	+	0.976695i	$0.568856\pi$
$410$	673.237	+	490.476i	1.64204	+	1.19628i
$411$	−91.2555	−	66.3010i	−0.222033	−	0.161316i
$412$	34.2679	+	5.42750i	0.0831745	+	0.0131736i
$413$	−1.69450	+	10.6986i	−0.00410290	+	0.0259047i
$414$	53.6077	−	73.7847i	0.129487	−	0.178224i
$415$	228.206	+	314.960i	0.549894	+	0.758940i
$416$	−696.689	+	506.174i	−1.67473	+	1.21676i
$417$	−146.709	+	74.7521i	−0.351821	+	0.179262i
$418$	−87.7537	+	87.7537i	−0.209937	+	0.209937i
$419$	−29.9659	−	9.73651i	−0.0715176	−	0.0232375i	0.273040	−	0.962003i	$-0.411971\pi$
$419$	−29.9659	−	9.73651i	−0.0715176	−	0.0232375i	−0.344557	+	0.938765i	$0.611971\pi$
$420$	62.0103	+	62.1720i	0.147644	+	0.148029i
$421$	3.38154	+	10.4073i	0.00803217	+	0.0247205i	0.954992	−	0.296631i	$-0.0958630\pi$
$421$	3.38154	+	10.4073i	0.00803217	+	0.0247205i	−0.946960	+	0.321351i	$0.895863\pi$
$422$	237.401	−	465.925i	0.562561	−	1.10409i
$423$	204.265	−	32.3524i	0.482896	−	0.0764832i
$424$			493.982i			1.16505i
$425$	159.272	−	158.444i	0.374757	−	0.372810i
$426$	−433.401			−1.01737
$427$	4.07781	+	25.7463i	0.00954991	+	0.0602958i
$428$	1022.70	+	521.092i	2.38949	+	1.21750i
$429$	732.359	−	237.958i	1.70713	−	0.554680i
$430$	738.611	+	377.553i	1.71770	+	0.878031i
$431$	0.0751435	−	0.231268i	0.000174347	−	0.000536585i	−0.950969	−	0.309285i	$-0.899910\pi$
$431$	0.0751435	−	0.231268i	0.000174347	−	0.000536585i	0.951144	+	0.308749i	$0.0999102\pi$
$432$	−13.6249	−	13.6249i	−0.0315391	−	0.0315391i
$433$	180.884	+	355.005i	0.417746	+	0.819874i	0.999977	+	0.00684950i	$0.00218028\pi$
$433$	180.884	+	355.005i	0.417746	+	0.819874i	−0.582230	+	0.813024i	$0.697820\pi$
$434$	62.6094	+	86.1744i	0.144261	+	0.198559i
$435$	−62.7419	−	0.0817068i	−0.144234	−	0.000187832i
$436$	−720.848	−	523.727i	−1.65332	−	1.20121i
$437$	−19.1516	−	3.03332i	−0.0438252	−	0.00694124i
$438$	15.0103	−	94.7715i	0.0342702	−	0.216373i
$439$	−203.221	+	279.709i	−0.462917	+	0.637151i	−0.975111	−	0.221719i	$-0.928833\pi$
$439$	−203.221	+	279.709i	−0.462917	+	0.637151i	0.512193	+	0.858870i	$0.328833\pi$
$440$	−0.814344	+	625.328i	−0.00185078	+	1.42120i
$441$	112.077	−	81.4290i	0.254144	−	0.184646i
$442$	581.705	−	296.393i	1.31607	−	0.670573i
$443$	−44.3900	+	44.3900i	−0.100203	+	0.100203i	−0.755431	−	0.655228i	$-0.772573\pi$
$443$	−44.3900	+	44.3900i	−0.100203	+	0.100203i	0.655228	+	0.755431i	$0.272573\pi$
$444$	61.4886	+	19.9788i	0.138488	+	0.0449974i
$445$	181.768	−	355.595i	0.408468	−	0.799089i
$446$	−116.292	−	357.911i	−0.260745	−	0.802492i
$447$	181.594	−	356.399i	0.406251	−	0.797312i
$448$	172.762	−	27.3628i	0.385629	−	0.0610776i
$449$		−	56.6690i		−	0.126211i	−0.998007	−	0.0631057i	$-0.979899\pi$
$449$		−	56.6690i		−	0.126211i	0.998007	−	0.0631057i	$-0.0201005\pi$
$450$	−108.420	+	211.422i	−0.240932	+	0.469827i
$451$	−1019.47			−2.26046
$452$	−188.264	−	1188.65i	−0.416513	−	2.62976i
$453$	−170.918	−	87.0870i	−0.377302	−	0.192245i
$454$	529.018	−	171.889i	1.16524	−	0.378609i
$455$	−136.368	+	136.013i	−0.299710	+	0.298930i
$456$	6.97684	−	21.4725i	0.0153001	−	0.0470888i
$457$	533.076	+	533.076i	1.16647	+	1.16647i	0.983031	+	0.183437i	$0.0587224\pi$
$457$	533.076	+	533.076i	1.16647	+	1.16647i	0.183437	+	0.983031i	$0.441278\pi$
$458$	−489.774	−	961.235i	−1.06938	−	2.09877i
$459$	27.4465	+	37.7768i	0.0597962	+	0.0823024i
$460$	−234.536	+	169.934i	−0.509861	+	0.369422i
$461$	−91.3733	−	66.3866i	−0.198207	−	0.144006i	0.484255	−	0.874927i	$-0.339091\pi$
$461$	−91.3733	−	66.3866i	−0.198207	−	0.144006i	−0.682462	+	0.730921i	$0.739091\pi$
$462$	−176.489	−	27.9532i	−0.382012	−	0.0605047i
$463$	−66.0788	+	417.205i	−0.142719	+	0.901091i	0.807581	+	0.589756i	$0.200776\pi$
$463$	−66.0788	+	417.205i	−0.142719	+	0.901091i	−0.950300	+	0.311335i	$0.899224\pi$
$464$	−15.7911	+	21.7346i	−0.0340325	+	0.0468418i
$465$	−102.074	+	140.109i	−0.219515	+	0.301311i
$466$	109.820	−	79.7887i	0.235665	−	0.171220i
$467$	324.329	−	165.254i	0.694494	−	0.353863i	−0.0708470	−	0.997487i	$-0.522570\pi$
$467$	324.329	−	165.254i	0.694494	−	0.353863i	0.765341	+	0.643625i	$0.222570\pi$
$468$	−293.648	+	293.648i	−0.627452	+	0.627452i
$469$	196.089	+	63.7133i	0.418101	+	0.135849i
$470$	−1078.30	−	172.226i	−2.29426	−	0.366438i
$471$	76.8988	+	236.670i	0.163267	+	0.502485i
$472$	18.8861	−	37.0661i	0.0400129	−	0.0785298i
$473$	−1002.75	+	158.821i	−2.11999	+	0.335773i
$474$			66.5279i			0.140354i
$475$	50.5154	+	0.131569i	0.106348	+	0.000276988i
$476$	−91.1172			−0.191423
$477$	−35.9364	−	226.893i	−0.0753383	−	0.475667i
$478$	604.457	+	307.986i	1.26455	+	0.644322i
$479$	251.628	−	81.7589i	0.525320	−	0.170687i	−0.0343384	−	0.999410i	$-0.510932\pi$
$479$	251.628	−	81.7589i	0.525320	−	0.170687i	0.559658	+	0.828724i	$0.310932\pi$
$480$	147.264	+	289.955i	0.306801	+	0.604074i
$481$	−43.8215	+	134.869i	−0.0911050	+	0.280392i
$482$	509.674	+	509.674i	1.05742	+	1.05742i
$483$	−12.6751	−	24.8763i	−0.0262424	−	0.0515036i
$484$	−904.225	−	1244.56i	−1.86823	−	2.57140i
$485$	25.3572	−	77.6971i	0.0522830	−	0.160200i
$486$	−39.9528	−	29.0274i	−0.0822075	−	0.0597273i
$487$	−78.9054	−	12.4974i	−0.162023	−	0.0256620i	0.0748957	−	0.997191i	$-0.476138\pi$
$487$	−78.9054	−	12.4974i	−0.162023	−	0.0256620i	−0.236919	+	0.971529i	$0.576138\pi$
$488$	15.6608	−	98.8784i	0.0320918	−	0.202620i
$489$	241.575	−	332.499i	0.494018	−	0.679957i
$490$	−695.963	+	225.130i	−1.42033	+	0.459450i
$491$	354.300	−	257.414i	0.721589	−	0.524265i	−0.165302	−	0.986243i	$-0.552860\pi$
$491$	354.300	−	257.414i	0.721589	−	0.524265i	0.886892	+	0.461978i	$0.152860\pi$
$492$	489.866	−	249.599i	0.995663	−	0.507316i
$493$	46.0361	−	46.0361i	0.0933794	−	0.0933794i
$494$	139.614	+	45.3632i	0.282619	+	0.0918284i
$495$	−45.1176	−	287.282i	−0.0911466	−	0.580367i
$496$	22.9371	+	70.5932i	0.0462442	+	0.142325i
$497$	−60.2327	+	118.213i	−0.121192	+	0.237854i
$498$	421.585	−	66.7725i	0.846557	−	0.134081i
$499$		−	127.967i		−	0.256448i	−0.991745	−	0.128224i	$-0.959072\pi$
$499$		−	127.967i		−	0.256448i	0.991745	−	0.128224i	$-0.0409276\pi$
$500$	535.620	−	531.451i	1.07124	−	1.06290i
$501$	−108.619			−0.216805
$502$	112.788	+	712.114i	0.224677	+	1.41855i
$503$	447.571	+	228.049i	0.889803	+	0.453377i	0.838246	−	0.545293i	$-0.183581\pi$
$503$	447.571	+	228.049i	0.889803	+	0.453377i	0.0515575	+	0.998670i	$0.483581\pi$
$504$	30.9173	−	10.0456i	0.0613438	−	0.0199318i
$505$	−202.213	+	31.7575i	−0.400421	+	0.0628861i
$506$	182.128	−	560.533i	0.359937	−	1.10777i
$507$	−437.104	−	437.104i	−0.862138	−	0.862138i
$508$	−208.639	−	409.478i	−0.410707	−	0.806058i
$509$	−503.867	−	693.514i	−0.989916	−	1.36250i	−0.931313	−	0.364221i	$-0.881335\pi$
$509$	−503.867	−	693.514i	−0.989916	−	1.36250i	−0.0586034	−	0.998281i	$-0.518665\pi$
$510$	−75.8824	−	234.581i	−0.148789	−	0.459963i
$511$	−23.7635	−	17.2652i	−0.0465040	−	0.0337871i
$512$	232.046	+	36.7525i	0.453215	+	0.0717823i
$513$	−1.64248	+	10.3702i	−0.00320171	+	0.0202148i
$514$	−513.631	+	706.953i	−0.999283	+	1.37539i
$515$	27.3205	+	8.91632i	0.0530495	+	0.0173132i
$516$	442.951	−	321.823i	0.858433	−	0.623688i
$517$	1190.81	−	606.747i	2.30330	−	1.17359i
$518$	23.2687	−	23.2687i	0.0449202	−	0.0449202i
$519$	−8.36286	−	2.71726i	−0.0161134	−	0.00523557i
$520$	659.505	−	334.953i	1.26828	−	0.644141i
$521$	287.221	+	883.976i	0.551288	+	1.69669i	0.705549	+	0.708661i	$0.250700\pi$
$521$	287.221	+	883.976i	0.551288	+	1.69669i	−0.154261	+	0.988030i	$0.549300\pi$
$522$	−31.2595	+	61.3503i	−0.0598841	+	0.117529i
$523$	509.539	−	80.7031i	0.974263	−	0.154308i	0.351047	−	0.936358i	$-0.385826\pi$
$523$	509.539	−	80.7031i	0.974263	−	0.154308i	0.623216	+	0.782050i	$0.285826\pi$
$524$		−	288.228i		−	0.550054i
$525$	42.5992	+	58.9551i	0.0811413	+	0.112295i
$526$	10.6075			0.0201663
$527$	−28.1390	−	177.663i	−0.0533947	−	0.337121i
$528$	−110.947	−	56.5303i	−0.210127	−	0.107065i
$529$	−415.528	+	135.013i	−0.785498	+	0.255224i
$530$	−191.305	+	1197.75i	−0.360952	+	2.25991i
$531$	−5.97818	+	18.3990i	−0.0112583	+	0.0346496i
$532$	−14.4872	−	14.4872i	−0.0272316	−	0.0272316i
$533$	547.470	+	1074.47i	1.02715	+	2.01589i
$534$	−257.608	−	354.567i	−0.482412	−	0.663983i
$535$	768.444	+	559.838i	1.43634	+	1.04643i
$536$	−640.608	−	465.429i	−1.19516	−	0.868337i
$537$	339.561	+	53.7811i	0.632329	+	0.100151i
$538$	45.2821	−	285.900i	0.0841676	−	0.531413i
$539$	526.218	−	724.277i	0.976286	−	1.34374i
$540$	92.0158	+	126.996i	0.170400	+	0.235178i
$541$	33.4297	−	24.2881i	0.0617924	−	0.0448948i	−0.556460	−	0.830874i	$-0.687841\pi$
$541$	33.4297	−	24.2881i	0.0617924	−	0.0448948i	0.618253	+	0.785979i	$0.287841\pi$
$542$	562.534	−	286.626i	1.03789	−	0.528829i
$543$	262.398	−	262.398i	0.483238	−	0.483238i
$544$	−320.940	−	104.280i	−0.589963	−	0.191691i
$545$	−521.199	−	522.558i	−0.956328	−	0.958822i
$546$	65.3164	+	201.023i	0.119627	+	0.368174i
$547$	−272.518	+	534.846i	−0.498204	+	0.977781i	0.495800	+	0.868437i	$0.334875\pi$
$547$	−272.518	+	534.846i	−0.498204	+	0.977781i	−0.994004	+	0.109344i	$0.965125\pi$
$548$	388.268	−	61.4956i	0.708519	−	0.112218i
$549$			46.5557i			0.0848009i
$550$	−244.146	+	1515.91i	−0.443902	+	2.75620i
$551$	14.6390			0.0265681
$552$	16.7735	+	105.904i	0.0303868	+	0.191855i
$553$	18.1460	+	9.24584i	0.0328137	+	0.0167194i
$554$	−363.957	+	118.257i	−0.656961	+	0.213460i
$555$	47.6847	+	24.3748i	0.0859183	+	0.0439186i
$556$	177.325	−	545.750i	0.318930	−	0.981565i
$557$	−430.792	−	430.792i	−0.773415	−	0.773415i	0.205287	−	0.978702i	$-0.434187\pi$
$557$	−430.792	−	430.792i	−0.773415	−	0.773415i	−0.978702	+	0.205287i	$0.934187\pi$
$558$	86.3665	+	169.504i	0.154779	+	0.303770i
$559$	705.886	+	971.568i	1.26277	+	1.73805i
$560$	31.1443	+	0.0405583i	0.0556149	+	7.24255e-5i
$561$	244.125	+	177.367i	0.435160	+	0.316162i
$562$	−1058.55	−	167.659i	−1.88355	−	0.298325i
$563$	6.58200	−	41.5571i	0.0116909	−	0.0738137i	−0.981153	−	0.193232i	$-0.938103\pi$
$563$	6.58200	−	41.5571i	0.0116909	−	0.0738137i	0.992844	+	0.119418i	$0.0381030\pi$
$564$	−423.646	+	583.099i	−0.751146	+	1.03386i
$565$	1.29818	−	996.857i	0.00229766	−	1.76435i
$566$	−462.047	+	335.697i	−0.816338	+	0.593104i
$567$	−13.4700	+	6.86329i	−0.0237566	+	0.0121046i
$568$	360.294	−	360.294i	0.634321	−	0.634321i
$569$	675.278	+	219.411i	1.18678	+	0.385608i	0.834881	−	0.550430i	$-0.185536\pi$
$569$	675.278	+	219.411i	1.18678	+	0.385608i	0.351899	+	0.936038i	$0.385536\pi$
$570$	25.2324	−	49.3623i	0.0442673	−	0.0866005i
$571$	91.8255	+	282.610i	0.160815	+	0.494938i	0.998704	−	0.0509033i	$-0.0162100\pi$
$571$	91.8255	+	282.610i	0.160815	+	0.494938i	−0.837888	+	0.545842i	$0.816210\pi$
$572$	−1218.36	+	2391.16i	−2.13000	+	4.18036i
$573$	−417.357	+	66.1028i	−0.728371	+	0.115363i
$574$		−	279.830i		−	0.487510i
$575$	−214.040	+	108.358i	−0.372244	+	0.188448i
$576$	312.396			0.542354
$577$	−22.4656	−	141.842i	−0.0389352	−	0.245827i	0.960543	−	0.278132i	$-0.0897153\pi$
$577$	−22.4656	−	141.842i	−0.0389352	−	0.245827i	−0.999478	+	0.0323047i	$0.989715\pi$
$578$	−587.816	−	299.507i	−1.01698	−	0.518179i
$579$	223.758	−	72.7035i	0.386457	−	0.125567i
$580$	154.817	−	154.414i	0.266926	−	0.266231i
$581$	40.3779	−	124.270i	0.0694972	−	0.213890i
$582$	−63.4228	−	63.4228i	−0.108974	−	0.108974i
$583$	−673.962	−	1322.72i	−1.15602	−	2.26882i
$584$	66.3070	+	91.2637i	0.113539	+	0.156274i
$585$	−278.553	+	201.827i	−0.476160	+	0.345004i
$586$	707.696	+	514.171i	1.20767	+	0.877425i
$587$	−371.766	−	58.8820i	−0.633333	−	0.100310i	−0.168490	−	0.985703i	$-0.553889\pi$
$587$	−371.766	−	58.8820i	−0.633333	−	0.100310i	−0.464843	+	0.885393i	$0.653889\pi$
$588$	−75.5273	+	476.860i	−0.128448	+	0.810987i
$589$	23.7736	−	32.7215i	0.0403626	−	0.0555544i
$590$	60.1476	−	82.5598i	0.101945	−	0.139932i
$591$	−135.581	+	98.5056i	−0.229410	+	0.166676i
$592$	20.4316	−	10.4104i	0.0345129	−	0.0175852i
$593$	−364.873	+	364.873i	−0.615300	+	0.615300i	−0.944322	−	0.329022i	$-0.893281\pi$
$593$	−364.873	+	364.873i	−0.615300	+	0.615300i	0.329022	+	0.944322i	$0.393281\pi$
$594$	−303.517	−	98.6187i	−0.510971	−	0.166025i
$595$	−74.5296	−	11.9038i	−0.125260	−	0.0200065i
$596$	430.773	+	1325.78i	0.722773	+	2.22447i
$597$	−124.153	+	243.664i	−0.207961	+	0.408147i
$598$	−688.583	+	109.061i	−1.15148	+	0.182376i
$599$			720.626i			1.20305i	0.798855	+	0.601524i	$0.205440\pi$
$599$			720.626i			1.20305i	−0.798855	+	0.601524i	$0.794560\pi$
$600$	−85.6281	−	265.891i	−0.142714	−	0.443151i
$601$	983.451			1.63636			0.818179	−	0.574964i	$-0.194984\pi$
$601$	983.451			1.63636			0.818179	+	0.574964i	$0.194984\pi$
$602$	−43.5943	−	275.243i	−0.0724157	−	0.457215i
$603$	328.100	+	167.175i	0.544113	+	0.277240i
$604$	635.805	−	206.586i	1.05266	−	0.342029i
$605$	−577.021	−	1136.12i	−0.953753	−	1.87789i
$606$	−69.4160	+	213.640i	−0.114548	+	0.352542i
$607$	−387.264	−	387.264i	−0.637997	−	0.637997i	0.312064	−	0.950061i	$-0.398980\pi$
$607$	−387.264	−	387.264i	−0.637997	−	0.637997i	−0.950061	+	0.312064i	$0.898980\pi$
$608$	−34.4480	−	67.6080i	−0.0566579	−	0.111197i
$609$	12.3894	+	17.0525i	0.0203438	+	0.0280009i
$610$	76.2654	−	233.685i	0.125025	−	0.383090i
$611$	−1278.97	−	929.224i	−2.09324	−	1.52083i
$612$	−160.730	−	25.4572i	−0.262632	−	0.0415967i
$613$	−121.781	+	768.895i	−0.198664	+	1.25432i	0.663689	+	0.748008i	$0.268990\pi$
$613$	−121.781	+	768.895i	−0.198664	+	1.25432i	−0.862353	+	0.506307i	$0.831010\pi$
$614$	−110.258	+	151.758i	−0.179574	+	0.247162i
$615$	433.296	−	140.163i	0.704547	−	0.227907i
$616$	169.957	−	123.481i	0.275904	−	0.200456i
$617$	−562.951	+	286.838i	−0.912400	+	0.464891i	−0.846170	−	0.532913i	$-0.821097\pi$
$617$	−562.951	+	286.838i	−0.912400	+	0.464891i	−0.0662304	+	0.997804i	$0.521097\pi$
$618$	22.3012	−	22.3012i	0.0360861	−	0.0360861i
$619$	530.170	+	172.263i	0.856494	+	0.278292i	0.704164	−	0.710038i	$-0.251322\pi$
$619$	530.170	+	172.263i	0.856494	+	0.278292i	0.152331	+	0.988330i	$0.451322\pi$
$620$	−93.7299	−	596.817i	−0.151177	−	0.962607i
$621$	−15.4087	−	47.4229i	−0.0248126	−	0.0763655i
$622$	222.803	−	437.275i	0.358204	−	0.703015i
$623$	−132.512	+	20.9879i	−0.212700	+	0.0336884i
$624$			147.291i			0.236043i
$625$	507.542	−	364.727i	0.812068	−	0.583563i
$626$	−267.553			−0.427401
$627$	10.6142	+	67.0153i	0.0169285	+	0.106882i
$628$	−772.732	−	393.727i	−1.23047	−	0.626953i
$629$	−52.8504	+	17.1721i	−0.0840229	+	0.0273007i
$630$	78.8553	−	12.3842i	0.125167	−	0.0196575i
$631$	31.2677	−	96.2322i	0.0495527	−	0.152507i	−0.923218	−	0.384276i	$-0.874451\pi$
$631$	31.2677	−	96.2322i	0.0495527	−	0.152507i	0.972771	+	0.231768i	$0.0744511\pi$
$632$	−55.3059	−	55.3059i	−0.0875094	−	0.0875094i
$633$	−129.794	−	254.736i	−0.205046	−	0.402426i
$634$	−657.176	−	904.525i	−1.03656	−	1.42670i
$635$	−117.162	−	362.191i	−0.184507	−	0.570379i
$636$	647.694	+	470.578i	1.01839	+	0.739902i
$637$	−1045.94	−	165.661i	−1.64198	−	0.260065i
$638$	−69.6073	+	439.483i	−0.109102	+	0.688845i
$639$	−139.278	+	191.699i	−0.217962	+	0.299999i
$640$	−854.086	−	278.739i	−1.33451	−	0.435530i
$641$	463.300	−	336.607i	0.722777	−	0.525128i	−0.164493	−	0.986378i	$-0.552599\pi$
$641$	463.300	−	336.607i	0.722777	−	0.525128i	0.887270	+	0.461250i	$0.152599\pi$
$642$	929.661	−	473.686i	1.44807	−	0.737829i
$643$	547.812	−	547.812i	0.851962	−	0.851962i	−0.138413	−	0.990375i	$-0.544200\pi$
$643$	547.812	−	547.812i	0.851962	−	0.851962i	0.990375	+	0.138413i	$0.0442000\pi$
$644$	92.5382	+	30.0675i	0.143693	+	0.0466887i
$645$	404.358	−	205.368i	0.626911	−	0.318400i
$646$	17.7763	+	54.7097i	0.0275174	+	0.0846900i
$647$	−192.855	+	378.500i	−0.298076	+	0.585007i	−0.990664	−	0.136326i	$-0.956470\pi$
$647$	−192.855	+	378.500i	−0.298076	+	0.585007i	0.692588	+	0.721333i	$0.256470\pi$
$648$	57.3446	−	9.08249i	0.0884948	−	0.0140162i
$649$			125.018i			0.192632i
$650$	1728.81	−	556.752i	2.65971	−	0.856541i
$651$	58.2364			0.0894568
$652$	224.066	+	1414.70i	0.343659	+	2.16978i
$653$	274.172	+	139.697i	0.419865	+	0.213932i	0.651142	−	0.758956i	$-0.274290\pi$
$653$	274.172	+	139.697i	0.419865	+	0.213932i	−0.231277	+	0.972888i	$0.574290\pi$
$654$	−770.315	+	250.291i	−1.17785	+	0.382707i
$655$	37.6551	−	235.757i	0.0574887	−	0.359935i
$656$	60.2578	−	185.454i	0.0918564	−	0.282705i
$657$	−37.0951	−	37.0951i	−0.0564613	−	0.0564613i
$658$	166.544	+	326.862i	0.253107	+	0.496750i
$659$	−165.432	−	227.698i	−0.251036	−	0.345521i	0.664838	−	0.746988i	$-0.268501\pi$
$659$	−165.432	−	227.698i	−0.251036	−	0.345521i	−0.915874	+	0.401467i	$0.868501\pi$
$660$	819.136	+	596.769i	1.24112	+	0.904195i
$661$	−241.370	−	175.366i	−0.365159	−	0.265303i	0.390042	−	0.920797i	$-0.372461\pi$
$661$	−241.370	−	175.366i	−0.365159	−	0.265303i	−0.755201	+	0.655494i	$0.772461\pi$
$662$	−1324.24	−	209.738i	−2.00036	−	0.316825i
$663$	55.8378	−	352.546i	0.0842198	−	0.531743i
$664$	−294.962	+	405.981i	−0.444221	+	0.611417i
$665$	−9.95722	−	13.7425i	−0.0149733	−	0.0206655i
$666$	47.5469	−	34.5448i	0.0713917	−	0.0518691i
$667$	−61.9453	+	31.5627i	−0.0928716	+	0.0473204i
$668$	267.671	−	267.671i	0.400706	−	0.400706i
$669$	−195.681	−	63.5807i	−0.292498	−	0.0950384i
$670$	−1373.03	−	1376.61i	−2.04930	−	2.05464i
$671$	92.9698	+	286.132i	0.138554	+	0.426426i
$672$	49.6001	−	97.3457i	0.0738097	−	0.144860i
$673$	−923.529	+	146.273i	−1.37226	+	0.217344i	−0.798655	−	0.601789i	$-0.794455\pi$
$673$	−923.529	+	146.273i	−1.37226	+	0.217344i	−0.573603	+	0.819134i	$0.694455\pi$
$674$		−	462.224i		−	0.685792i
$675$	58.6734	+	115.898i	0.0869236	+	0.171701i
$676$	2154.32			3.18687
$677$	181.146	+	1143.71i	0.267571	+	1.68938i	0.645672	+	0.763615i	$0.276578\pi$
$677$	181.146	+	1143.71i	0.267571	+	1.68938i	−0.378100	+	0.925765i	$0.623422\pi$
$678$	−974.747	−	496.658i	−1.43768	−	0.732534i
$679$	−26.1133	+	8.48474i	−0.0384585	+	0.0124959i
$680$	258.094	+	131.929i	0.379550	+	0.194014i
$681$	93.9768	−	289.231i	0.137998	−	0.424715i
$682$	869.301	+	869.301i	1.27464	+	1.27464i
$683$	180.849	+	354.936i	0.264786	+	0.519672i	0.984671	−	0.174422i	$-0.0558056\pi$
$683$	180.849	+	354.936i	0.264786	+	0.519672i	−0.719885	+	0.694093i	$0.755806\pi$
$684$	−21.5078	−	29.6030i	−0.0314442	−	0.0432792i
$685$	325.619	+	0.424044i	0.475357	+	0.000619042i
$686$	409.757	+	297.706i	0.597314	+	0.433974i
$687$	−582.562	−	92.2688i	−0.847980	−	0.134307i
$688$	30.3784	−	191.802i	0.0441547	−	0.278782i
$689$	−1032.16	+	1420.65i	−1.49806	+	2.06190i
$690$	−0.342861	+	263.280i	−0.000496900	+	0.381565i
$691$	−113.461	+	82.4342i	−0.164198	+	0.119297i	−0.666850	−	0.745192i	$-0.732358\pi$
$691$	−113.461	+	82.4342i	−0.164198	+	0.119297i	0.502652	+	0.864489i	$0.332358\pi$
$692$	27.3049	−	13.9125i	0.0394579	−	0.0201048i
$693$	−69.0808	+	69.0808i	−0.0996837	+	0.0996837i
$694$	897.008	+	291.456i	1.29252	+	0.419965i
$695$	216.342	−	423.232i	0.311284	−	0.608967i
$696$	−25.0150	−	76.9883i	−0.0359411	−	0.110615i
$697$	−214.535	+	421.048i	−0.307797	+	0.604086i
$698$	1862.13	−	294.933i	2.66781	−	0.422540i
$699$		−	74.2158i		−	0.106174i
$700$	−250.261	−	40.3060i	−0.357516	−	0.0575799i
$701$	17.0862			0.0243740			0.0121870	−	0.999926i	$-0.496121\pi$
$701$	17.0862			0.0243740			0.0121870	+	0.999926i	$0.496121\pi$
$702$	59.0542	+	372.853i	0.0841227	+	0.531130i
$703$	−11.1333	−	5.67268i	−0.0158368	−	0.00806925i
$704$	1919.99	−	623.842i	2.72726	−	0.886139i
$705$	−422.701	+	421.601i	−0.599576	+	0.598016i
$706$	226.986	−	698.591i	0.321510	−	0.989506i
$707$	48.6248	+	48.6248i	0.0687762	+	0.0687762i
$708$	−30.6087	−	60.0729i	−0.0432326	−	0.0848487i
$709$	−174.766	−	240.545i	−0.246497	−	0.339274i	0.667784	−	0.744355i	$-0.267243\pi$
$709$	−174.766	−	240.545i	−0.246497	−	0.339274i	−0.914281	+	0.405081i	$0.867243\pi$
$710$	1013.13	−	734.071i	1.42695	−	1.03390i
$711$	29.4263	+	21.3794i	0.0413872	+	0.0300695i
$712$	508.913	+	80.6038i	0.714765	+	0.113208i
$713$	−30.0485	+	189.719i	−0.0421438	+	0.266086i
$714$	−48.6850	+	67.0092i	−0.0681863	+	0.0938504i
$715$	−1308.95	+	1796.69i	−1.83070	+	2.51285i
$716$	−969.317	+	704.250i	−1.35379	+	0.983589i
$717$	330.475	−	168.386i	0.460914	−	0.234847i
$718$	−615.028	+	615.028i	−0.856585	+	0.856585i
$719$	−712.729	−	231.580i	−0.991278	−	0.322086i	−0.231903	−	0.972739i	$-0.574495\pi$
$719$	−712.729	−	231.580i	−0.991278	−	0.322086i	−0.759375	+	0.650653i	$0.774495\pi$
$720$	54.9272	+	8.77295i	0.0762878	+	0.0121847i
$721$	−2.98347	−	9.18218i	−0.00413796	−	0.0127353i
$722$	513.335	−	1007.48i	0.710991	−	1.39540i
$723$	389.226	−	61.6473i	0.538348	−	0.0852659i
$724$			1293.26i			1.78628i
$725$	146.806	−	106.078i	0.202491	−	0.146314i
$726$	−1398.41			−1.92618
$727$	−190.962	−	1205.69i	−0.262671	−	1.65844i	−0.667918	−	0.744235i	$-0.732814\pi$
$727$	−190.962	−	1205.69i	−0.262671	−	1.65844i	0.405247	−	0.914207i	$-0.367186\pi$
$728$	−221.413	−	112.816i	−0.304139	−	0.154967i
$729$	−25.6785	+	8.34346i	−0.0352243	+	0.0114451i
$730$	125.430	+	246.965i	0.171822	+	0.338309i
$731$	−145.424	+	447.568i	−0.198938	+	0.612268i
$732$	−114.728	−	114.728i	−0.156732	−	0.156732i
$733$	−284.970	−	559.284i	−0.388772	−	0.763007i	0.610814	−	0.791774i	$-0.290842\pi$
$733$	−284.970	−	559.284i	−0.388772	−	0.763007i	−0.999586	+	0.0287664i	$0.990842\pi$
$734$	−805.510	−	1108.69i	−1.09742	−	1.51048i
$735$	−124.076	+	380.183i	−0.168811	+	0.517255i
$736$	291.534	+	211.812i	0.396107	+	0.287788i
$737$	2350.35	+	372.259i	3.18908	+	0.505100i
$738$	78.1818	−	493.620i	0.105937	−	0.668862i
$739$	707.539	−	973.843i	0.957427	−	1.31779i	0.00927900	−	0.999957i	$-0.497046\pi$
$739$	707.539	−	973.843i	0.957427	−	1.31779i	0.948148	−	0.317829i	$-0.102954\pi$
$740$	−177.577	+	57.4427i	−0.239969	+	0.0776253i
$741$	64.9311	−	47.1752i	0.0876264	−	0.0636643i
$742$	363.071	−	184.994i	0.489314	−	0.249318i
$743$	369.193	−	369.193i	0.496896	−	0.496896i	−0.413575	−	0.910470i	$-0.635720\pi$
$743$	369.193	−	369.193i	0.496896	−	0.496896i	0.910470	+	0.413575i	$0.135720\pi$
$744$	−212.710	−	69.1136i	−0.285900	−	0.0928947i
$745$	179.148	+	1140.71i	0.240467	+	1.53115i
$746$	54.3708	+	167.336i	0.0728831	+	0.224311i
$747$	105.946	−	207.931i	0.141829	−	0.278355i
$748$	−1038.69	+	164.512i	−1.38862	+	0.219936i
$749$		−	319.403i		−	0.426440i
$750$	−104.650	−	677.864i	−0.139534	−	0.903819i
$751$	1369.44			1.82348			0.911742	−	0.410763i	$-0.134738\pi$
$751$	1369.44			1.82348			0.911742	+	0.410763i	$0.134738\pi$
$752$	39.9900	+	252.487i	0.0531782	+	0.335754i
$753$	351.224	+	178.958i	0.466433	+	0.237659i
$754$	500.576	−	162.647i	0.663893	−	0.215712i
$755$	547.048	−	85.9137i	0.724567	−	0.113793i
$756$	16.2809	−	50.1075i	0.0215356	−	0.0662798i
$757$	−188.079	−	188.079i	−0.248452	−	0.248452i	0.571883	−	0.820335i	$-0.306213\pi$
$757$	−188.079	−	188.079i	−0.248452	−	0.248452i	−0.820335	+	0.571883i	$0.806213\pi$
$758$	423.389	+	830.948i	0.558561	+	1.09624i
$759$	−189.403	−	260.691i	−0.249543	−	0.343467i
$760$	20.0597	+	62.0120i	0.0263943	+	0.0815947i
$761$	120.798	+	87.7648i	0.158736	+	0.115328i	0.664318	−	0.747450i	$-0.268722\pi$
$761$	120.798	+	87.7648i	0.158736	+	0.115328i	−0.505582	+	0.862779i	$0.668722\pi$
$762$	−412.615	−	65.3519i	−0.541490	−	0.0857636i
$763$	−38.7874	+	244.894i	−0.0508353	+	0.320962i
$764$	865.599	−	1191.39i	1.13298	−	1.55942i
$765$	−128.144	−	41.8212i	−0.167509	−	0.0546682i
$766$	−599.278	+	435.401i	−0.782348	+	0.568409i
$767$	131.764	−	67.1369i	0.171791	−	0.0875318i
$768$	−187.035	+	187.035i	−0.243535	+	0.243535i
$769$	−831.042	−	270.022i	−1.08068	−	0.351134i	−0.286041	−	0.958217i	$-0.592339\pi$
$769$	−831.042	−	270.022i	−1.08068	−	0.351134i	−0.794638	+	0.607084i	$0.792339\pi$
$770$	459.914	−	233.584i	0.597291	−	0.303356i
$771$	147.635	+	454.373i	0.191485	+	0.589330i
$772$	−372.246	+	730.575i	−0.482184	+	0.946340i
$773$	−662.636	+	104.951i	−0.857226	+	0.135771i	−0.569550	−	0.821956i	$-0.692883\pi$
$773$	−662.636	+	104.951i	−0.857226	+	0.135771i	−0.287676	+	0.957728i	$0.592883\pi$
$774$		−	497.708i		−	0.643034i
$775$	1.30335	−	500.413i	0.00168174	−	0.645695i
$776$	105.449			0.135888
$777$	−2.81444	−	17.7697i	−0.00362219	−	0.0228696i
$778$	−346.722	−	176.664i	−0.445658	−	0.227074i
$779$	−101.055	+	32.8347i	−0.129724	+	0.0421498i
$780$	189.077	−	1183.81i	0.242407	−	1.51770i
$781$	−473.186	+	1456.32i	−0.605872	+	1.86468i
$782$	−193.178	−	193.178i	−0.247031	−	0.247031i
$783$	17.0905	+	33.5421i	0.0218270	+	0.0428379i
$784$	100.652	+	138.536i	0.128383	+	0.176704i
$785$	−580.621	−	423.002i	−0.739645	−	0.538857i
$786$	−211.968	−	154.004i	−0.269679	−	0.195934i
$787$	1015.68	+	160.868i	1.29057	+	0.204407i	0.763719	−	0.645549i	$-0.223371\pi$
$787$	1015.68	+	160.868i	1.29057	+	0.204407i	0.526855	+	0.849955i	$0.323371\pi$
$788$	91.3662	−	576.863i	0.115947	−	0.732060i
$789$	3.40882	−	4.69184i	0.00432044	−	0.00594657i
$790$	−112.682	−	155.518i	−0.142635	−	0.196859i
$791$	−270.934	+	196.845i	−0.342521	+	0.248856i
$792$	334.303	−	170.336i	0.422100	−	0.215071i
$793$	251.643	−	251.643i	0.317331	−	0.317331i
$794$	137.091	+	44.5435i	0.172658	+	0.0561001i
$795$	468.306	+	469.527i	0.589064	+	0.590601i
$796$	−294.512	−	906.414i	−0.369990	−	1.13871i
$797$	−140.065	+	274.893i	−0.175740	+	0.344909i	−0.962028	−	0.272951i	$-0.912000\pi$
$797$	−140.065	+	274.893i	−0.175740	+	0.344909i	0.786288	+	0.617860i	$0.212000\pi$
$798$	−18.3949	+	2.91346i	−0.0230512	+	0.00365095i
$799$		−	619.496i		−	0.775339i
$800$	−835.362	−	428.382i	−1.04420	−	0.535478i
$801$	−239.615			−0.299145
$802$	121.775	+	768.857i	0.151839	+	0.958674i
$803$	−302.064	−	153.909i	−0.376169	−	0.191668i
$804$	−1220.51	+	396.569i	−1.51805	+	0.493245i
$805$	71.7639	+	36.6833i	0.0891477	+	0.0455693i
$806$	449.375	−	1383.03i	0.557537	−	1.71592i
$807$	−111.906	−	111.906i	−0.138669	−	0.138669i
$808$	−119.896	−	235.310i	−0.148387	−	0.291225i
$809$	−485.207	−	667.830i	−0.599762	−	0.825501i	0.395925	−	0.918283i	$-0.370424\pi$
$809$	−485.207	−	667.830i	−0.599762	−	0.825501i	−0.995686	+	0.0927819i	$0.970424\pi$
$810$	142.560	+	0.185652i	0.176001	+	0.000229200i
$811$	−873.466	−	634.610i	−1.07702	−	0.782503i	−0.0998619	−	0.995001i	$-0.531840\pi$
$811$	−873.466	−	634.610i	−1.07702	−	0.782503i	−0.977162	+	0.212498i	$0.931840\pi$
$812$	−72.5541	−	11.4914i	−0.0893523	−	0.0141520i
$813$	53.9976	−	340.927i	0.0664177	−	0.419345i
$814$	223.239	−	307.262i	0.274249	−	0.377471i
$815$	−1.54505	+	1186.43i	−0.00189576	+	1.45574i
$816$	−46.6950	+	33.9259i	−0.0572243	+	0.0415759i
$817$	−94.2829	+	48.0395i	−0.115401	+	0.0587999i
$818$	−1216.73	+	1216.73i	−1.48745	+	1.48745i
$819$	109.906	+	35.7105i	0.134195	+	0.0436026i
$820$	−722.372	+	1413.18i	−0.880942	+	1.72339i
$821$	−346.776	−	1067.27i	−0.422383	−	1.29996i	−0.905478	−	0.424393i	$-0.860488\pi$
$821$	−346.776	−	1067.27i	−0.422383	−	1.29996i	0.483095	−	0.875568i	$-0.339512\pi$
$822$	162.231	−	318.397i	0.197362	−	0.387344i
$823$	360.393	−	57.0806i	0.437901	−	0.0693567i	0.0664083	−	0.997793i	$-0.478846\pi$
$823$	360.393	−	57.0806i	0.437901	−	0.0693567i	0.371493	+	0.928436i	$0.378846\pi$
$824$			37.0789i			0.0449986i
$825$	592.051	+	595.144i	0.717638	+	0.721386i
$826$	−34.3159			−0.0415447
$827$	11.0180	+	69.5650i	0.0133229	+	0.0841173i	0.993454	−	0.114234i	$-0.0364413\pi$
$827$	11.0180	+	69.5650i	0.0133229	+	0.0841173i	−0.980131	+	0.198351i	$0.936441\pi$
$828$	154.837	+	78.8932i	0.187001	+	0.0952817i
$829$	−456.470	+	148.316i	−0.550628	+	0.178910i	−0.571100	−	0.820881i	$-0.693483\pi$
$829$	−456.470	+	148.316i	−0.550628	+	0.178910i	0.0204722	+	0.999790i	$0.493483\pi$
$830$	−872.418	+	870.149i	−1.05111	+	1.04837i
$831$	−64.6546	+	198.986i	−0.0778033	+	0.239454i
$832$	−1688.57	−	1688.57i	−2.02953	−	2.02953i
$833$	−188.396	−	369.748i	−0.226166	−	0.443875i
$834$	−306.607	−	422.009i	−0.367635	−	0.506005i
$835$	253.912	−	183.973i	0.304087	−	0.220327i
$836$	−191.303	−	138.990i	−0.228832	−	0.166256i
$837$	102.729	+	16.2706i	0.122735	+	0.0194392i
$838$	15.6149	−	98.5888i	0.0186336	−	0.117648i
$839$	−387.392	+	533.199i	−0.461730	+	0.635517i	−0.974866	−	0.222790i	$-0.928484\pi$
$839$	−387.392	+	533.199i	−0.461730	+	0.635517i	0.513136	+	0.858307i	$0.328484\pi$
$840$	−55.2586	+	75.8491i	−0.0657841	+	0.0902965i
$841$	−637.920	+	463.476i	−0.758526	+	0.551101i
$842$	−30.8888	+	15.7386i	−0.0366850	+	0.0186919i
$843$	−414.335	+	414.335i	−0.491501	+	0.491501i
$844$	947.602	+	307.894i	1.12275	+	0.364804i
$845$	1762.14	+	281.448i	2.08537	+	0.333074i
$846$	202.462	+	623.114i	0.239317	+	0.736541i
$847$	−194.346	+	381.426i	−0.229453	+	0.450326i
$848$	280.457	−	44.4201i	0.330728	−	0.0523822i
$849$			312.250i			0.367786i
$850$	574.707	+	419.840i	0.676126	+	0.493930i
$851$	59.3412			0.0697311
$852$	−129.183	−	815.631i	−0.151624	−	0.957314i
$853$	1286.70	+	655.608i	1.50845	+	0.768591i	0.995934	−	0.0900887i	$-0.0287151\pi$
$853$	1286.70	+	655.608i	1.50845	+	0.768591i	0.512512	+	0.858680i	$0.328715\pi$
$854$	−78.5395	+	25.5190i	−0.0919666	+	0.0298818i
$855$	−13.7250	−	27.0237i	−0.0160526	−	0.0316067i
$856$	−379.061	+	1166.63i	−0.442828	+	1.36288i
$857$	388.161	+	388.161i	0.452930	+	0.452930i	0.896326	−	0.443396i	$-0.146226\pi$
$857$	388.161	+	388.161i	0.452930	+	0.452930i	−0.443396	+	0.896326i	$0.646226\pi$
$858$	1107.52	+	2173.63i	1.29082	+	2.53337i
$859$	59.6370	+	82.0833i	0.0694261	+	0.0955568i	0.842318	−	0.538981i	$-0.181191\pi$
$859$	59.6370	+	82.0833i	0.0694261	+	0.0955568i	−0.772892	+	0.634538i	$0.781191\pi$
$860$	−490.374	+	1502.55i	−0.570202	+	1.74716i
$861$	−123.773	−	89.9264i	−0.143755	−	0.104444i
$862$	0.760880	+	0.120512i	0.000882692	+	0.000139805i
$863$	−216.793	+	1368.77i	−0.251208	+	1.58607i	0.463147	+	0.886282i	$0.346720\pi$
$863$	−216.793	+	1368.77i	−0.251208	+	1.58607i	−0.714355	+	0.699784i	$0.753280\pi$
$864$	114.692	−	157.860i	0.132745	−	0.182708i
$865$	24.1517	−	7.81261i	0.0279210	−	0.00903191i
$866$	−1021.17	+	741.924i	−1.17918	+	0.856725i
$867$	−321.377	+	163.750i	−0.370677	+	0.188870i
$868$	−143.513	+	143.513i	−0.165337	+	0.165337i
$869$	223.548	+	72.6351i	0.257247	+	0.0835847i
$870$	−30.8384	−	196.360i	−0.0354464	−	0.225702i
$871$	−869.833	−	2677.07i	−0.998660	−	3.07356i
$872$	432.306	−	848.449i	0.495764	−	0.972992i
$873$	−48.4344	+	7.67125i	−0.0554804	+	0.00878723i
$874$		−	61.4289i		−	0.0702848i
$875$	−199.437	−	65.6634i	−0.227927	−	0.0750438i
$876$	182.828			0.208708
$877$	197.755	+	1248.58i	0.225490	+	1.42369i	0.797438	+	0.603401i	$0.206188\pi$
$877$	197.755	+	1248.58i	0.225490	+	1.42369i	−0.571948	+	0.820290i	$0.693812\pi$
$878$	−975.927	−	497.260i	−1.11153	−	0.566355i
$879$	454.851	−	147.790i	0.517464	−	0.168134i
$880$	355.102	−	55.7687i	0.403525	−	0.0633735i
$881$	320.337	−	985.897i	0.363607	−	1.11907i	−0.587242	−	0.809411i	$-0.699786\pi$
$881$	320.337	−	985.897i	0.363607	−	1.11907i	0.950849	−	0.309655i	$-0.100214\pi$
$882$	310.336	+	310.336i	0.351855	+	0.351855i
$883$	−138.048	−	270.935i	−0.156340	−	0.306834i	0.799529	−	0.600627i	$-0.205082\pi$
$883$	−138.048	−	270.935i	−0.156340	−	0.306834i	−0.955869	+	0.293793i	$0.905082\pi$
$884$	731.181	+	1006.38i	0.827128	+	1.13844i
$885$	−17.1883	−	53.1356i	−0.0194219	−	0.0600403i
$886$	−160.896	−	116.898i	−0.181598	−	0.131939i
$887$	−494.003	−	78.2423i	−0.556937	−	0.0882101i	−0.128380	−	0.991725i	$-0.540978\pi$
$887$	−494.003	−	78.2423i	−0.556937	−	0.0882101i	−0.428557	+	0.903515i	$0.640978\pi$
$888$	−10.8088	+	68.2444i	−0.0121721	+	0.0768518i
$889$	−75.1692	+	103.462i	−0.0845548	+	0.116380i
$890$	1202.74	+	392.527i	1.35139	+	0.441041i
$891$	−141.159	+	102.558i	−0.158427	+	0.115104i
$892$	638.902	−	325.537i	0.716258	−	0.364952i
$893$	98.4971	−	98.4971i	0.110299	−	0.110299i
$894$	1205.17	+	391.584i	1.34807	+	0.438013i
$895$	−884.861	+	449.409i	−0.988672	+	0.502133i
$896$	93.2685	+	287.051i	0.104094	+	0.320369i
$897$	−173.044	+	339.618i	−0.192914	+	0.378616i
$898$	177.318	−	28.0844i	0.197458	−	0.0312743i
$899$		−	145.017i		−	0.161309i
$900$	−430.199	−	141.020i	−0.477999	−	0.156689i
$901$	−688.123			−0.763733
$902$	−505.233	−	3189.92i	−0.560126	−	3.53649i
$903$	−135.754	−	69.1699i	−0.150336	−	0.0766001i
$904$	1223.21	−	397.444i	1.35310	−	0.439650i
$905$	−168.956	+	1057.83i	−0.186692	+	1.16887i
$906$	187.792	−	577.963i	0.207275	−	0.637928i
$907$	897.980	+	897.980i	0.990055	+	0.990055i	0.999951	−	0.00989604i	$-0.00315006\pi$
$907$	897.980	+	897.980i	0.990055	+	0.990055i	−0.00989604	+	0.999951i	$0.503150\pi$
$908$	481.167	+	944.343i	0.529919	+	1.04003i
$909$	72.1887	+	99.3593i	0.0794156	+	0.109306i
$910$	−493.169	−	359.290i	−0.541944	−	0.394824i
$911$	1372.41	+	997.115i	1.50649	+	1.09453i	0.967706	+	0.252083i	$0.0811157\pi$
$911$	1372.41	+	997.115i	1.50649	+	1.09453i	0.538783	+	0.842445i	$0.318884\pi$
$912$	−12.8184	−	2.03023i	−0.0140552	−	0.00222613i
$913$	235.916	−	1489.52i	0.258397	−	1.63145i
$914$	−1403.82	+	1932.19i	−1.53590	+	2.11399i
$915$	−78.8536	−	108.830i	−0.0861788	−	0.118940i
$916$	1662.99	−	1208.24i	1.81550	−	1.31904i
$917$	−71.4643	+	36.4129i	−0.0779327	+	0.0397087i
$918$	−104.602	+	104.602i	−0.113945	+	0.113945i
$919$	280.131	+	91.0202i	0.304822	+	0.0990426i	0.457434	−	0.889244i	$-0.348769\pi$
$919$	280.131	+	91.0202i	0.304822	+	0.0990426i	−0.152612	+	0.988286i	$0.548769\pi$
$920$	−218.584	−	219.154i	−0.237592	−	0.238211i
$921$	31.6920	+	97.5378i	0.0344104	+	0.105904i
$922$	162.441	−	318.808i	0.176183	−	0.345779i
$923$	1789.00	−	283.350i	1.93825	−	0.306988i
$924$		−	340.473i		−	0.368478i
$925$	−152.754	+	23.7862i	−0.165140	+	0.0257149i
$926$	−1338.19			−1.44513
$927$	−2.69743	−	17.0309i	−0.00290985	−	0.0183721i
$928$	−242.404	−	123.511i	−0.261211	−	0.133094i
$929$	99.4146	−	32.3017i	0.107012	−	0.0347705i	−0.255021	−	0.966935i	$-0.582082\pi$
$929$	99.4146	−	32.3017i	0.107012	−	0.0347705i	0.362034	+	0.932165i	$0.382082\pi$
$930$	−488.990	−	249.956i	−0.525796	−	0.268770i
$931$	28.8342	−	88.7424i	0.0309712	−	0.0953195i
$932$	182.891	+	182.891i	0.196235	+	0.196235i
$933$	−121.813	−	239.072i	−0.130561	−	0.256240i
$934$	677.814	+	932.931i	0.725711	+	0.998855i
$935$	−871.091	−	1.13439i	−0.931648	−	0.00121326i
$936$	−359.053	−	260.867i	−0.383603	−	0.278704i
$937$	−1206.02	−	191.015i	−1.28711	−	0.203858i	−0.524886	−	0.851172i	$-0.675892\pi$
$937$	−1206.02	−	191.015i	−1.28711	−	0.203858i	−0.762223	+	0.647314i	$0.775892\pi$
$938$	−102.180	+	645.141i	−0.108934	+	0.687783i
$939$	−85.9809	+	118.343i	−0.0915665	+	0.126030i
$940$	2.70953	−	2080.62i	0.00288248	−	2.21343i
$941$	444.036	−	322.611i	0.471877	−	0.342838i	−0.326296	−	0.945268i	$-0.605800\pi$
$941$	444.036	−	322.611i	0.471877	−	0.342838i	0.798172	+	0.602429i	$0.205800\pi$
$942$	−702.434	+	357.908i	−0.745683	+	0.379945i
$943$	356.821	−	356.821i	0.378389	−	0.378389i
$944$	−22.7425	−	7.38948i	−0.0240916	−	0.00782784i
$945$	19.8632	−	38.8586i	0.0210193	−	0.0411202i
$946$	−993.902	−	3058.92i	−1.05064	−	3.23353i
$947$	488.217	−	958.180i	0.515541	−	1.01181i	−0.475684	−	0.879616i	$-0.657799\pi$
$947$	488.217	−	958.180i	0.515541	−	1.01181i	0.991225	−	0.132189i	$-0.0422006\pi$
$948$	−125.201	+	19.8299i	−0.132069	+	0.0209176i
$949$			401.014i			0.422565i
$950$	24.6231	+	158.128i	0.0259190	+	0.166451i
$951$	−611.275			−0.642771
$952$	−15.2332	−	96.1788i	−0.0160013	−	0.101028i
$953$	−333.311	−	169.831i	−0.349749	−	0.178206i	0.270286	−	0.962780i	$-0.412882\pi$
$953$	−333.311	−	169.831i	−0.349749	−	0.178206i	−0.620035	+	0.784574i	$0.712882\pi$
$954$	692.142	−	224.891i	0.725516	−	0.235734i
$955$	863.667	−	861.421i	0.904364	−	0.902011i
$956$	−399.440	+	1229.35i	−0.417824	+	1.28593i
$957$	172.021	+	172.021i	0.179750	+	0.179750i
$958$	380.528	+	746.828i	0.397211	+	0.779570i
$959$	−64.2988	−	88.4996i	−0.0670477	−	0.0922833i
$960$	−730.269	+	529.120i	−0.760697	+	0.551166i
$961$	453.321	+	329.357i	0.471718	+	0.342723i
$962$	−443.723	−	70.2788i	−0.461251	−	0.0730549i
$963$	89.2380	−	563.427i	0.0926667	−	0.585074i
$964$	−807.255	+	1111.09i	−0.837402	+	1.15258i
$965$	−399.925	+	548.945i	−0.414430	+	0.568855i
$966$	71.5565	−	51.9888i	0.0740750	−	0.0538186i
$967$	585.453	−	298.303i	0.605432	−	0.308483i	−0.124270	−	0.992248i	$-0.539659\pi$
$967$	585.453	−	298.303i	0.605432	−	0.308483i	0.729702	+	0.683765i	$0.239659\pi$
$968$	1162.52	−	1162.52i	1.20095	−	1.20095i
$969$	29.9115	+	9.71884i	0.0308684	+	0.0100298i
$970$	255.682	+	40.8374i	0.263589	+	0.0421004i
$971$	142.783	+	439.442i	0.147048	+	0.452566i	0.997269	−	0.0738599i	$-0.0235317\pi$
$971$	142.783	+	439.442i	0.147048	+	0.452566i	−0.850221	+	0.526426i	$0.823532\pi$
$972$	42.7190	−	83.8408i	0.0439496	−	0.0862560i
$973$	−157.717	+	24.9800i	−0.162094	+	0.0256731i
$974$		−	253.089i		−	0.259845i
$975$	309.313	−	943.598i	0.317244	−	0.967793i
$976$	−57.5463			−0.0589614
$977$	−193.833	−	1223.81i	−0.198396	−	1.25262i	−0.862914	−	0.505351i	$-0.831363\pi$
$977$	−193.833	−	1223.81i	−0.198396	−	1.25262i	0.664518	−	0.747272i	$-0.268637\pi$
$978$	1160.11	+	591.107i	1.18621	+	0.604404i
$979$	−1472.68	+	478.502i	−1.50427	+	0.488766i
$980$	−631.126	−	1242.65i	−0.644006	−	1.26801i
$981$	−136.842	+	421.155i	−0.139492	+	0.429312i
$982$	981.038	+	981.038i	0.999021	+	0.999021i
$983$	−799.803	−	1569.70i	−0.813635	−	1.59685i	−0.802306	−	0.596912i	$-0.796394\pi$
$983$	−799.803	−	1569.70i	−0.813635	−	1.59685i	−0.0113283	−	0.999936i	$-0.503606\pi$
$984$	345.362	+	475.350i	0.350977	+	0.483079i
$985$	150.097	−	459.911i	0.152382	−	0.466915i
$986$	166.862	+	121.232i	0.169231	+	0.122954i
$987$	198.096	+	31.3754i	0.200706	+	0.0317886i
$988$	−43.7561	+	276.265i	−0.0442875	+	0.279620i
$989$	295.383	−	406.560i	0.298668	−	0.411082i
$990$	876.548	−	283.546i	0.885402	−	0.286410i
$991$	1042.70	−	757.563i	1.05217	−	0.764443i	0.0795424	−	0.996831i	$-0.474654\pi$
$991$	1042.70	−	757.563i	1.05217	−	0.764443i	0.972623	+	0.232389i	$0.0746541\pi$
$992$	−669.735	+	341.247i	−0.675136	+	0.343999i
$993$	−518.327	+	518.327i	−0.521981	+	0.521981i
$994$	−399.741	−	129.884i	−0.402154	−	0.130668i
$995$	−122.480	−	779.881i	−0.123096	−	0.783800i
$996$	251.323	+	773.492i	0.252332	+	0.776599i
$997$	81.8073	−	160.556i	0.0820535	−	0.161039i	−0.846334	−	0.532652i	$-0.821195\pi$
$997$	81.8073	−	160.556i	0.0820535	−	0.161039i	0.928388	+	0.371613i	$0.121195\pi$
$998$	400.412	−	63.4190i	0.401214	−	0.0635460i
$999$		−	32.1320i		−	0.0321642i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	75.3.k.a.37.9	✓	80
3.2	odd	2		225.3.r.b.37.2		80
5.2	odd	4		375.3.k.b.43.2		80
5.3	odd	4		375.3.k.c.43.9		80
5.4	even	2		375.3.k.a.82.2		80
25.2	odd	20		375.3.k.a.343.2		80
25.11	even	5		375.3.k.c.157.9		80
25.14	even	10		375.3.k.b.157.2		80
25.23	odd	20	inner	75.3.k.a.73.9	yes	80
75.23	even	20		225.3.r.b.73.2		80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
75.3.k.a.37.9	✓	80	1.1	even	1	trivial
75.3.k.a.73.9	yes	80	25.23	odd	20	inner
225.3.r.b.37.2		80	3.2	odd	2
225.3.r.b.73.2		80	75.23	even	20
375.3.k.a.82.2		80	5.4	even	2
375.3.k.a.343.2		80	25.2	odd	20
375.3.k.b.43.2		80	5.2	odd	4
375.3.k.b.157.2		80	25.14	even	10
375.3.k.c.43.9		80	5.3	odd	4
375.3.k.c.157.9		80	25.11	even	5

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:	\( N \)	\(=\)	\( 75 = 3 \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	75.k (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.495586 + 3.12901i) q^{2} +(1.54327 + 0.786335i) q^{3} +(-5.74087 + 1.86532i) q^{4} +(-4.93946 + 0.775740i) q^{5} +(-1.69563 + 5.21860i) q^{6} +(1.18776 + 1.18776i) q^{7} +(-2.92871 - 5.74792i) q^{8} +(1.76336 + 2.42705i) q^{9} +O(q^{10})\)	\(q+(0.495586 + 3.12901i) q^{2} +(1.54327 + 0.786335i) q^{3} +(-5.74087 + 1.86532i) q^{4} +(-4.93946 + 0.775740i) q^{5} +(-1.69563 + 5.21860i) q^{6} +(1.18776 + 1.18776i) q^{7} +(-2.92871 - 5.74792i) q^{8} +(1.76336 + 2.42705i) q^{9} +(-4.87523 - 15.0712i) q^{10} +(15.6843 + 11.3953i) q^{11} +(-10.3265 - 1.63555i) q^{12} +(3.58741 - 22.6500i) q^{13} +(-3.12787 + 4.30515i) q^{14} +(-8.23290 - 2.68689i) q^{15} +(-3.00002 + 2.17964i) q^{16} +(8.00694 - 4.07974i) q^{17} +(-6.72037 + 6.72037i) q^{18} +(1.92173 + 0.624407i) q^{19} +(26.9098 - 13.6671i) q^{20} +(0.899055 + 2.76701i) q^{21} +(-27.8831 + 54.7237i) q^{22} +(-9.47808 + 1.50118i) q^{23} -11.1735i q^{24} +(23.7965 - 7.66347i) q^{25} +72.6501 q^{26} +(0.812857 + 5.13218i) q^{27} +(-9.03432 - 4.60322i) q^{28} +(6.89023 - 2.23877i) q^{29} +(4.32719 - 27.0924i) q^{30} +(6.18547 - 19.0369i) q^{31} +(-26.5532 - 26.5532i) q^{32} +(15.2446 + 29.9192i) q^{33} +(16.7337 + 23.0319i) q^{34} +(-6.78828 - 4.94549i) q^{35} +(-14.6504 - 10.6442i) q^{36} +(-6.10768 - 0.967361i) q^{37} +(-1.00139 + 6.32255i) q^{38} +(23.3469 - 32.1342i) q^{39} +(18.9252 + 26.1197i) q^{40} +(-42.5424 + 30.9089i) q^{41} +(-8.21243 + 4.18444i) q^{42} +(-37.0298 + 37.0298i) q^{43} +(-111.298 - 36.1628i) q^{44} +(-10.5928 - 10.6204i) q^{45} +(-9.39441 - 28.9130i) q^{46} +(31.2968 - 61.4234i) q^{47} +(-6.34376 + 1.00475i) q^{48} -46.1785i q^{49} +(35.7723 + 70.6614i) q^{50} +15.5649 q^{51} +(21.6547 + 136.723i) q^{52} +(-68.2278 - 34.7638i) q^{53} +(-15.6558 + 5.08688i) q^{54} +(-86.3118 - 44.1197i) q^{55} +(3.34854 - 10.3058i) q^{56} +(2.47475 + 2.47475i) q^{57} +(10.4198 + 20.4501i) q^{58} +(3.79039 + 5.21703i) q^{59} +(52.2759 + 0.0680772i) q^{60} +(12.5548 + 9.12158i) q^{61} +(62.6322 + 9.91996i) q^{62} +(-0.788310 + 4.97719i) q^{63} +(61.2073 - 84.2446i) q^{64} +(-0.149320 + 114.662i) q^{65} +(-86.0623 + 62.5279i) q^{66} +(109.367 - 55.7251i) q^{67} +(-38.3568 + 38.3568i) q^{68} +(-15.8076 - 5.13622i) q^{69} +(12.1103 - 23.6915i) q^{70} +(24.4076 + 75.1187i) q^{71} +(8.78614 - 17.2438i) q^{72} +(-17.2715 + 2.73554i) q^{73} -19.5904i q^{74} +(42.7504 + 6.88518i) q^{75} -12.1971 q^{76} +(5.09429 + 32.1641i) q^{77} +(112.119 + 57.1273i) q^{78} +(11.5309 - 3.74661i) q^{79} +(13.1276 - 13.0935i) q^{80} +(-2.78115 + 8.55951i) q^{81} +(-117.798 - 117.798i) q^{82} +(-35.3154 - 69.3104i) q^{83} +(-10.3227 - 14.2080i) q^{84} +(-36.3851 + 26.3630i) q^{85} +(-134.218 - 97.5152i) q^{86} +(12.3939 + 1.96300i) q^{87} +(19.5646 - 123.526i) q^{88} +(-46.9474 + 64.6176i) q^{89} +(27.9817 - 38.4082i) q^{90} +(31.1638 - 22.6418i) q^{91} +(51.6122 - 26.2977i) q^{92} +(24.5152 - 24.5152i) q^{93} +(207.705 + 67.4873i) q^{94} +(-9.97667 - 1.59347i) q^{95} +(-20.0990 - 61.8584i) q^{96} +(-7.42095 + 14.5644i) q^{97} +(144.493 - 22.8854i) q^{98} +58.1606i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 80 q + 4 q^{2} + 4 q^{5} - 4 q^{7} - 12 q^{8}+O(q^{10}) \) 80 * q + 4 * q^2 + 4 * q^5 - 4 * q^7 - 12 * q^8	\( 80 q + 4 q^{2} + 4 q^{5} - 4 q^{7} - 12 q^{8} - 4 q^{10} - 24 q^{12} + 32 q^{13} - 24 q^{15} + 80 q^{16} - 100 q^{17} - 48 q^{18} - 100 q^{19} - 244 q^{20} - 100 q^{22} - 96 q^{23} - 16 q^{25} - 40 q^{26} + 196 q^{28} + 200 q^{29} + 264 q^{30} + 636 q^{32} + 216 q^{33} + 100 q^{34} + 260 q^{35} - 120 q^{36} - 184 q^{37} - 564 q^{38} - 948 q^{40} + 160 q^{41} - 12 q^{42} - 472 q^{43} - 700 q^{44} - 36 q^{45} - 288 q^{47} - 48 q^{48} + 16 q^{50} + 620 q^{52} + 304 q^{53} + 604 q^{55} + 72 q^{57} + 1272 q^{58} + 800 q^{59} + 84 q^{60} - 240 q^{61} + 1212 q^{62} - 12 q^{63} + 100 q^{64} + 272 q^{65} - 80 q^{67} + 104 q^{68} - 260 q^{70} + 36 q^{72} - 116 q^{73} - 24 q^{75} - 88 q^{77} - 120 q^{78} + 200 q^{79} - 164 q^{80} + 180 q^{81} - 168 q^{82} - 1264 q^{83} - 1200 q^{84} - 212 q^{85} - 876 q^{87} - 212 q^{88} - 1500 q^{89} - 444 q^{90} - 1504 q^{92} - 648 q^{93} - 200 q^{94} - 784 q^{95} + 60 q^{96} - 260 q^{97} - 92 q^{98}+O(q^{100}) \) 80 * q + 4 * q^2 + 4 * q^5 - 4 * q^7 - 12 * q^8 - 4 * q^10 - 24 * q^12 + 32 * q^13 - 24 * q^15 + 80 * q^16 - 100 * q^17 - 48 * q^18 - 100 * q^19 - 244 * q^20 - 100 * q^22 - 96 * q^23 - 16 * q^25 - 40 * q^26 + 196 * q^28 + 200 * q^29 + 264 * q^30 + 636 * q^32 + 216 * q^33 + 100 * q^34 + 260 * q^35 - 120 * q^36 - 184 * q^37 - 564 * q^38 - 948 * q^40 + 160 * q^41 - 12 * q^42 - 472 * q^43 - 700 * q^44 - 36 * q^45 - 288 * q^47 - 48 * q^48 + 16 * q^50 + 620 * q^52 + 304 * q^53 + 604 * q^55 + 72 * q^57 + 1272 * q^58 + 800 * q^59 + 84 * q^60 - 240 * q^61 + 1212 * q^62 - 12 * q^63 + 100 * q^64 + 272 * q^65 - 80 * q^67 + 104 * q^68 - 260 * q^70 + 36 * q^72 - 116 * q^73 - 24 * q^75 - 88 * q^77 - 120 * q^78 + 200 * q^79 - 164 * q^80 + 180 * q^81 - 168 * q^82 - 1264 * q^83 - 1200 * q^84 - 212 * q^85 - 876 * q^87 - 212 * q^88 - 1500 * q^89 - 444 * q^90 - 1504 * q^92 - 648 * q^93 - 200 * q^94 - 784 * q^95 + 60 * q^96 - 260 * q^97 - 92 * q^98

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