LMFDB - Embedded newform 75.3.k.a.13.3

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			13.3
Character	$\chi$	$=$	75.13
Dual form			75.3.k.a.52.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.75107 + 0.277342i) q^{2} +(-0.786335 + 1.54327i) q^{3} +(-0.814895 + 0.264776i) q^{4} +(-2.37217 - 4.40146i) q^{5} +(0.948914 - 2.92046i) q^{6} +(5.49856 - 5.49856i) q^{7} +(7.67216 - 3.90916i) q^{8} +(-1.76336 - 2.42705i) q^{9} +O(q^{10})$	\(q+(-1.75107 + 0.277342i) q^{2} +(-0.786335 + 1.54327i) q^{3} +(-0.814895 + 0.264776i) q^{4} +(-2.37217 - 4.40146i) q^{5} +(0.948914 - 2.92046i) q^{6} +(5.49856 - 5.49856i) q^{7} +(7.67216 - 3.90916i) q^{8} +(-1.76336 - 2.42705i) q^{9} +(5.37454 + 7.04936i) q^{10} +(-13.6773 - 9.93716i) q^{11} +(0.232161 - 1.46580i) q^{12} +(10.4503 + 1.65517i) q^{13} +(-8.10338 + 11.1533i) q^{14} +(8.65795 - 0.199872i) q^{15} +(-9.57756 + 6.95850i) q^{16} +(-12.8467 - 25.2131i) q^{17} +(3.76089 + 3.76089i) q^{18} +(-14.3972 - 4.67792i) q^{19} +(3.09847 + 2.95863i) q^{20} +(4.16205 + 12.8095i) q^{21} +(26.7060 + 13.6074i) q^{22} +(4.95341 + 31.2746i) q^{23} +14.9141i q^{24} +(-13.7457 + 20.8820i) q^{25} -18.7583 q^{26} +(5.13218 - 0.812857i) q^{27} +(-3.02487 + 5.93663i) q^{28} +(16.3247 - 5.30420i) q^{29} +(-15.1052 + 2.75121i) q^{30} +(4.23960 - 13.0481i) q^{31} +(-9.51355 + 9.51355i) q^{32} +(26.0907 - 13.2939i) q^{33} +(29.4882 + 40.5870i) q^{34} +(-37.2452 - 11.1582i) q^{35} +(2.07957 + 1.51090i) q^{36} +(9.82958 - 62.0615i) q^{37} +(26.5079 + 4.19843i) q^{38} +(-10.7718 + 14.8261i) q^{39} +(-35.4057 - 24.4955i) q^{40} +(-5.95973 + 4.33000i) q^{41} +(-10.8406 - 21.2760i) q^{42} +(-21.0138 - 21.0138i) q^{43} +(13.7767 + 4.47633i) q^{44} +(-6.49959 + 13.5187i) q^{45} +(-17.3476 - 53.3903i) q^{46} +(37.0357 + 18.8706i) q^{47} +(-3.20767 - 20.2525i) q^{48} -11.4683i q^{49} +(18.2782 - 40.3781i) q^{50} +49.0125 q^{51} +(-8.95415 + 1.41820i) q^{52} +(9.65780 - 18.9545i) q^{53} +(-8.76137 + 2.84674i) q^{54} +(-11.2931 + 83.7728i) q^{55} +(20.6911 - 63.6806i) q^{56} +(18.5403 - 18.5403i) q^{57} +(-27.1145 + 13.8156i) q^{58} +(11.2593 + 15.4972i) q^{59} +(-7.00240 + 2.45529i) q^{60} +(-49.3299 - 35.8403i) q^{61} +(-3.80503 + 24.0240i) q^{62} +(-23.0412 - 3.64937i) q^{63} +(41.8544 - 57.6076i) q^{64} +(-17.5047 - 49.9229i) q^{65} +(-41.9997 + 30.5145i) q^{66} +(41.7196 + 81.8793i) q^{67} +(17.1446 + 17.1446i) q^{68} +(-52.1602 - 16.9479i) q^{69} +(68.3136 + 9.20909i) q^{70} +(25.7410 + 79.2226i) q^{71} +(-23.0165 - 11.7275i) q^{72} +(2.39604 + 15.1280i) q^{73} +111.400i q^{74} +(-21.4178 - 37.6335i) q^{75} +12.9708 q^{76} +(-129.846 + 20.5655i) q^{77} +(14.7503 - 28.9491i) q^{78} +(57.9487 - 18.8287i) q^{79} +(53.3471 + 25.6485i) q^{80} +(-2.78115 + 8.55951i) q^{81} +(9.23502 - 9.23502i) q^{82} +(50.0876 - 25.5209i) q^{83} +(-6.78326 - 9.33636i) q^{84} +(-80.4999 + 116.354i) q^{85} +(42.6248 + 30.9687i) q^{86} +(-4.65083 + 29.3642i) q^{87} +(-143.781 - 22.7726i) q^{88} +(30.3688 - 41.7990i) q^{89} +(7.63193 - 25.4748i) q^{90} +(66.5627 - 48.3606i) q^{91} +(-12.3173 - 24.1740i) q^{92} +(16.8030 + 16.8030i) q^{93} +(-70.0858 - 22.7723i) q^{94} +(13.5628 + 74.4654i) q^{95} +(-7.20113 - 22.1628i) q^{96} +(104.578 + 53.2852i) q^{97} +(3.18064 + 20.0818i) q^{98} +50.7183i 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 $\left(\mathbb{Z}/75\mathbb{Z}\right)^\times$.

$n$	$26$	$52$
$\chi(n)$	$1$	$e\left(\frac{19}{20}\right)$

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 $

$2$	−1.75107	+	0.277342i	−0.875535	+	0.138671i	−0.577997	−	0.816039i	$-0.696166\pi$
$2$	−1.75107	+	0.277342i	−0.875535	+	0.138671i	−0.297538	+	0.954710i	$0.596166\pi$
$3$	−0.786335	+	1.54327i	−0.262112	+	0.514423i
$3$	−0.786335	+	1.54327i	−0.262112	+	0.514423i
$4$	−0.814895	+	0.264776i	−0.203724	+	0.0661939i
$5$	−2.37217	−	4.40146i	−0.474433	−	0.880291i
$5$	−2.37217	−	4.40146i	−0.474433	−	0.880291i
$6$	0.948914	−	2.92046i	0.158152	−	0.486743i
$7$	5.49856	−	5.49856i	0.785508	−	0.785508i	−0.195246	−	0.980754i	$-0.562551\pi$
$7$	5.49856	−	5.49856i	0.785508	−	0.785508i	0.980754	+	0.195246i	$0.0625505\pi$
$8$	7.67216	−	3.90916i	0.959020	−	0.488645i
$9$	−1.76336	−	2.42705i	−0.195928	−	0.269672i
$10$	5.37454	+	7.04936i	0.537454	+	0.704936i
$11$	−13.6773	−	9.93716i	−1.24339	−	0.903379i	−0.245574	−	0.969378i	$-0.578977\pi$
$11$	−13.6773	−	9.93716i	−1.24339	−	0.903379i	−0.997820	+	0.0659992i	$0.978977\pi$
$12$	0.232161	−	1.46580i	0.0193467	−	0.122150i
$13$	10.4503	+	1.65517i	0.803870	+	0.127320i	0.544830	−	0.838546i	$-0.316594\pi$
$13$	10.4503	+	1.65517i	0.803870	+	0.127320i	0.259039	+	0.965867i	$0.416594\pi$
$14$	−8.10338	+	11.1533i	−0.578813	+	0.796668i
$15$	8.65795	−	0.199872i	0.577196	−	0.0133248i
$16$	−9.57756	+	6.95850i	−0.598597	+	0.434906i
$17$	−12.8467	−	25.2131i	−0.755690	−	1.48313i	−0.871786	−	0.489887i	$-0.837038\pi$
$17$	−12.8467	−	25.2131i	−0.755690	−	1.48313i	0.116096	−	0.993238i	$-0.462962\pi$
$18$	3.76089	+	3.76089i	0.208938	+	0.208938i
$19$	−14.3972	−	4.67792i	−0.757746	−	0.246207i	−0.0954350	−	0.995436i	$-0.530424\pi$
$19$	−14.3972	−	4.67792i	−0.757746	−	0.246207i	−0.662311	+	0.749229i	$0.730424\pi$
$20$	3.09847	+	2.95863i	0.154923	+	0.147932i
$21$	4.16205	+	12.8095i	0.198193	+	0.609974i
$22$	26.7060	+	13.6074i	1.21391	+	0.618517i
$23$	4.95341	+	31.2746i	0.215366	+	1.35977i	0.824123	+	0.566410i	$0.191668\pi$
$23$	4.95341	+	31.2746i	0.215366	+	1.35977i	−0.608758	+	0.793356i	$0.708332\pi$
$24$			14.9141i			0.621421i
$25$	−13.7457	+	20.8820i	−0.549826	+	0.835279i
$26$	−18.7583			−0.721472
$27$	5.13218	−	0.812857i	0.190081	−	0.0301058i
$28$	−3.02487	+	5.93663i	−0.108031	+	0.212023i
$29$	16.3247	−	5.30420i	0.562919	−	0.182904i	−0.0137151	−	0.999906i	$-0.504366\pi$
$29$	16.3247	−	5.30420i	0.562919	−	0.182904i	0.576634	+	0.817002i	$0.304366\pi$
$30$	−15.1052	+	2.75121i	−0.503508	+	0.0917069i
$31$	4.23960	−	13.0481i	0.136761	−	0.420908i	−0.859099	−	0.511810i	$-0.828975\pi$
$31$	4.23960	−	13.0481i	0.136761	−	0.420908i	0.995860	+	0.0909025i	$0.0289752\pi$
$32$	−9.51355	+	9.51355i	−0.297298	+	0.297298i
$33$	26.0907	−	13.2939i	0.790626	−	0.402844i
$34$	29.4882	+	40.5870i	0.867300	+	1.19374i
$35$	−37.2452	−	11.1582i	−1.06415	−	0.318805i
$36$	2.07957	+	1.51090i	0.0577659	+	0.0419694i
$37$	9.82958	−	62.0615i	0.265664	−	1.67734i	−0.388860	−	0.921297i	$-0.627131\pi$
$37$	9.82958	−	62.0615i	0.265664	−	1.67734i	0.654524	−	0.756041i	$-0.272869\pi$
$38$	26.5079	+	4.19843i	0.697575	+	0.110485i
$39$	−10.7718	+	14.8261i	−0.276200	+	0.380157i
$40$	−35.4057	−	24.4955i	−0.885141	−	0.612388i
$41$	−5.95973	+	4.33000i	−0.145359	+	0.105610i	−0.658088	−	0.752941i	$-0.728635\pi$
$41$	−5.95973	+	4.33000i	−0.145359	+	0.105610i	0.512729	+	0.858551i	$0.328635\pi$
$42$	−10.8406	−	21.2760i	−0.258111	−	0.506570i
$43$	−21.0138	−	21.0138i	−0.488694	−	0.488694i	0.419200	−	0.907894i	$-0.362311\pi$
$43$	−21.0138	−	21.0138i	−0.488694	−	0.488694i	−0.907894	+	0.419200i	$0.862311\pi$
$44$	13.7767	+	4.47633i	0.313107	+	0.101735i
$45$	−6.49959	+	13.5187i	−0.144435	+	0.300416i
$46$	−17.3476	−	53.3903i	−0.377121	−	1.16066i
$47$	37.0357	+	18.8706i	0.787994	+	0.401503i	0.801190	−	0.598410i	$-0.204201\pi$
$47$	37.0357	+	18.8706i	0.787994	+	0.401503i	−0.0131960	+	0.999913i	$0.504201\pi$
$48$	−3.20767	−	20.2525i	−0.0668265	−	0.421926i
$49$		−	11.4683i		−	0.234046i
$50$	18.2782	−	40.3781i	0.365563	−	0.807562i
$51$	49.0125			0.961029
$52$	−8.95415	+	1.41820i	−0.172195	+	0.0272731i
$53$	9.65780	−	18.9545i	0.182223	−	0.357632i	−0.781768	−	0.623570i	$-0.785682\pi$
$53$	9.65780	−	18.9545i	0.182223	−	0.357632i	0.963990	+	0.265938i	$0.0856817\pi$
$54$	−8.76137	+	2.84674i	−0.162248	+	0.0527174i
$55$	−11.2931	+	83.7728i	−0.205329	+	1.52314i
$56$	20.6911	−	63.6806i	0.369483	−	1.13715i
$57$	18.5403	−	18.5403i	0.325268	−	0.325268i
$58$	−27.1145	+	13.8156i	−0.467492	+	0.238199i
$59$	11.2593	+	15.4972i	0.190836	+	0.262664i	0.893704	−	0.448657i	$-0.148097\pi$
$59$	11.2593	+	15.4972i	0.190836	+	0.262664i	−0.702868	+	0.711321i	$0.748097\pi$
$60$	−7.00240	+	2.45529i	−0.116707	+	0.0409215i
$61$	−49.3299	−	35.8403i	−0.808687	−	0.587545i	0.104763	−	0.994497i	$-0.466592\pi$
$61$	−49.3299	−	35.8403i	−0.808687	−	0.587545i	−0.913450	+	0.406952i	$0.866592\pi$
$62$	−3.80503	+	24.0240i	−0.0613715	+	0.387484i
$63$	−23.0412	−	3.64937i	−0.365733	−	0.0579265i
$64$	41.8544	−	57.6076i	0.653975	−	0.900120i
$65$	−17.5047	−	49.9229i	−0.269304	−	0.768045i
$66$	−41.9997	+	30.5145i	−0.636359	+	0.462342i
$67$	41.7196	+	81.8793i	0.622680	+	1.22208i	0.959818	+	0.280624i	$0.0905412\pi$
$67$	41.7196	+	81.8793i	0.622680	+	1.22208i	−0.337138	+	0.941455i	$0.609459\pi$
$68$	17.1446	+	17.1446i	0.252126	+	0.252126i
$69$	−52.1602	−	16.9479i	−0.755945	−	0.245621i
$70$	68.3136	+	9.20909i	0.975908	+	0.131558i
$71$	25.7410	+	79.2226i	0.362549	+	1.11581i	0.951502	+	0.307644i	$0.0995405\pi$
$71$	25.7410	+	79.2226i	0.362549	+	1.11581i	−0.588952	+	0.808168i	$0.700459\pi$
$72$	−23.0165	−	11.7275i	−0.319673	−	0.162882i
$73$	2.39604	+	15.1280i	0.0328225	+	0.207233i	0.998649	−	0.0519548i	$-0.0165452\pi$
$73$	2.39604	+	15.1280i	0.0328225	+	0.207233i	−0.965827	+	0.259188i	$0.916545\pi$
$74$			111.400i			1.50541i
$75$	−21.4178	−	37.6335i	−0.285571	−	0.501779i
$76$	12.9708			0.170668
$77$	−129.846	+	20.5655i	−1.68631	+	0.267085i
$78$	14.7503	−	28.9491i	0.189106	−	0.371142i
$79$	57.9487	−	18.8287i	0.733527	−	0.238337i	0.0816491	−	0.996661i	$-0.473981\pi$
$79$	57.9487	−	18.8287i	0.733527	−	0.238337i	0.651878	+	0.758324i	$0.273981\pi$
$80$	53.3471	+	25.6485i	0.666839	+	0.320606i
$81$	−2.78115	+	8.55951i	−0.0343352	+	0.105673i
$82$	9.23502	−	9.23502i	0.112622	−	0.112622i
$83$	50.0876	−	25.5209i	0.603465	−	0.307481i	−0.125434	−	0.992102i	$-0.540032\pi$
$83$	50.0876	−	25.5209i	0.603465	−	0.307481i	0.728899	+	0.684621i	$0.240032\pi$
$84$	−6.78326	−	9.33636i	−0.0807531	−	0.111147i
$85$	−80.4999	+	116.354i	−0.947058	+	1.36887i
$86$	42.6248	+	30.9687i	0.495637	+	0.360101i
$87$	−4.65083	+	29.3642i	−0.0534579	+	0.337520i
$88$	−143.781	−	22.7726i	−1.63387	−	0.258780i
$89$	30.3688	−	41.7990i	0.341222	−	0.469652i	−0.603576	−	0.797306i	$-0.706258\pi$
$89$	30.3688	−	41.7990i	0.341222	−	0.469652i	0.944798	+	0.327654i	$0.106258\pi$
$90$	7.63193	−	25.4748i	0.0847992	−	0.283054i
$91$	66.5627	−	48.3606i	0.731458	−	0.531435i
$92$	−12.3173	−	24.1740i	−0.133883	−	0.262761i
$93$	16.8030	+	16.8030i	0.180678	+	0.180678i
$94$	−70.0858	−	22.7723i	−0.745594	−	0.242258i
$95$	13.5628	+	74.4654i	0.142766	+	0.783846i
$96$	−7.20113	−	22.1628i	−0.0750118	−	0.230863i
$97$	104.578	+	53.2852i	1.07812	+	0.549332i	0.900540	−	0.434774i	$-0.143172\pi$
$97$	104.578	+	53.2852i	1.07812	+	0.549332i	0.177584	+	0.984106i	$0.443172\pi$
$98$	3.18064	+	20.0818i	0.0324555	+	0.204916i
$99$			50.7183i			0.512306i
$100$	5.67223	−	20.6561i	0.0567223	−	0.206561i
$101$	−33.9433			−0.336073			−0.168036	−	0.985781i	$-0.553743\pi$
$101$	−33.9433			−0.336073			−0.168036	+	0.985781i	$0.553743\pi$
$102$	−85.8243	+	13.5932i	−0.841415	+	0.133267i
$103$	−0.404116	+	0.793123i	−0.00392346	+	0.00770022i	−0.892960	−	0.450136i	$-0.851375\pi$
$103$	−0.404116	+	0.793123i	−0.00392346	+	0.00770022i	0.889036	+	0.457836i	$0.151375\pi$
$104$	86.6468	−	28.1532i	0.833142	−	0.270704i
$105$	46.5072	−	48.7052i	0.442926	−	0.463859i
$106$	−11.6546	+	35.8692i	−0.109949	+	0.338388i
$107$	−15.8857	+	15.8857i	−0.148465	+	0.148465i	−0.777432	−	0.628967i	$-0.783478\pi$
$107$	−15.8857	+	15.8857i	−0.148465	+	0.148465i	0.628967	+	0.777432i	$0.283478\pi$
$108$	−3.96696	+	2.02127i	−0.0367311	+	0.0187155i
$109$	−108.255	−	149.000i	−0.993162	−	1.36697i	−0.929428	−	0.369003i	$-0.879699\pi$
$109$	−108.255	−	149.000i	−0.993162	−	1.36697i	−0.0637336	−	0.997967i	$-0.520301\pi$
$110$	−3.45875	−	149.824i	−0.0314432	−	1.36204i
$111$	88.0482	+	63.9708i	0.793227	+	0.576313i
$112$	−14.4010	+	90.9245i	−0.128581	+	0.811826i
$113$	10.0681	+	1.59463i	0.0890983	+	0.0141118i	0.200824	−	0.979627i	$-0.435638\pi$
$113$	10.0681	+	1.59463i	0.0890983	+	0.0141118i	−0.111726	+	0.993739i	$0.535638\pi$
$114$	−27.3234	+	37.6074i	−0.239679	+	0.329889i
$115$	125.904	−	95.9909i	1.09481	−	0.834703i
$116$	−11.8985	+	8.64474i	−0.102573	+	0.0745236i
$117$	−14.4104	−	28.2821i	−0.123166	−	0.241727i
$118$	−24.0139	−	24.0139i	−0.203508	−	0.203508i
$119$	−209.274	−	67.9973i	−1.75861	−	0.571406i
$120$	65.6438	−	35.3788i	0.547032	−	0.294823i
$121$	50.9312	+	156.750i	0.420919	+	1.29545i
$122$	96.3202	+	49.0776i	0.789510	+	0.402275i
$123$	−1.99601	−	12.6023i	−0.0162277	−	0.102458i
$124$			11.7554i			0.0948017i
$125$	124.518	+	10.9654i	0.996145	+	0.0877228i
$126$	41.3589			0.328245
$127$	−14.7674	+	2.33893i	−0.116279	+	0.0184168i	−0.214303	−	0.976767i	$-0.568748\pi$
$127$	−14.7674	+	2.33893i	−0.116279	+	0.0184168i	0.0980237	+	0.995184i	$0.468748\pi$
$128$	−32.8807	+	64.5320i	−0.256880	+	0.504156i
$129$	48.9539	−	15.9061i	0.379488	−	0.123303i
$130$	44.4978	+	82.5638i	0.342291	+	0.635106i
$131$	−41.1681	+	126.702i	−0.314260	+	0.967193i	0.661798	+	0.749682i	$0.269794\pi$
$131$	−41.1681	+	126.702i	−0.314260	+	0.967193i	−0.976058	+	0.217511i	$0.930206\pi$
$132$	−17.7413	+	17.7413i	−0.134404	+	0.134404i
$133$	−104.886	+	53.4418i	−0.788613	+	0.401818i
$134$	−95.7625	−	131.806i	−0.714646	−	0.983626i
$135$	−15.7521	−	20.6608i	−0.116683	−	0.153043i
$136$	−197.124	−	143.219i	−1.44944	−	1.05308i
$137$	27.1500	−	171.418i	0.198175	−	1.25123i	−0.665200	−	0.746665i	$-0.731654\pi$
$137$	27.1500	−	171.418i	0.198175	−	1.25123i	0.863375	−	0.504563i	$-0.168346\pi$
$138$	96.0366	+	15.2107i	0.695917	+	0.110222i
$139$	100.207	−	137.923i	0.720913	−	0.992252i	−0.278580	−	0.960413i	$-0.589864\pi$
$139$	100.207	−	137.923i	0.720913	−	0.992252i	0.999493	−	0.0318390i	$-0.0101364\pi$
$140$	33.3053	−	0.768867i	0.237895	−	0.00549190i
$141$	−58.2449	+	42.3174i	−0.413085	+	0.300124i
$142$	−67.0461	−	131.585i	−0.472156	−	0.926657i
$143$	−126.485	−	126.485i	−0.884508	−	0.884508i
$144$	33.7773	+	10.9749i	0.234564	+	0.0762146i
$145$	−62.0710	−	59.2698i	−0.428076	−	0.408757i
$146$	−8.39128	−	25.8257i	−0.0574745	−	0.176888i
$147$	17.6986	+	9.01790i	0.120399	+	0.0613463i
$148$	8.42229	+	53.1762i	0.0569074	+	0.359299i
$149$			89.8536i			0.603044i	0.953459	+	0.301522i	$0.0974947\pi$
$149$			89.8536i			0.603044i	−0.953459	+	0.301522i	$0.902505\pi$
$150$	47.9415	+	59.9588i	0.319610	+	0.399725i
$151$	79.6114			0.527228			0.263614	−	0.964628i	$-0.415086\pi$
$151$	79.6114			0.527228			0.263614	+	0.964628i	$0.415086\pi$
$152$	−128.744	+	20.3911i	−0.847001	+	0.134152i
$153$	−38.5402	+	75.6394i	−0.251897	+	0.494375i
$154$	221.665	−	72.0234i	1.43939	−	0.467685i
$155$	−67.4878	+	12.2920i	−0.435405	+	0.0793029i
$156$	4.85230	−	14.9338i	0.0311045	−	0.0957298i
$157$	91.3932	−	91.3932i	0.582122	−	0.582122i	−0.353364	−	0.935486i	$-0.614962\pi$
$157$	91.3932	−	91.3932i	0.582122	−	0.582122i	0.935486	+	0.353364i	$0.114962\pi$
$158$	−96.2502	+	49.0419i	−0.609179	+	0.310392i
$159$	21.6576	+	29.8091i	0.136211	+	0.187479i
$160$	64.4412	+	19.3058i	0.402758	+	0.120661i
$161$	199.202	+	144.729i	1.23728	+	0.898936i
$162$	2.49608	−	15.7596i	0.0154079	−	0.0972817i
$163$	96.2020	+	15.2369i	0.590197	+	0.0934780i	0.444387	−	0.895835i	$-0.353421\pi$
$163$	96.2020	+	15.2369i	0.590197	+	0.0934780i	0.145809	+	0.989313i	$0.453421\pi$
$164$	3.71008	−	5.10648i	0.0226224	−	0.0311371i
$165$	−120.404	−	83.3017i	−0.729720	−	0.504859i
$166$	−80.6289	+	58.5803i	−0.485716	+	0.352894i
$167$	−51.6234	−	101.317i	−0.309122	−	0.606686i	0.683219	−	0.730213i	$-0.260579\pi$
$167$	−51.6234	−	101.317i	−0.309122	−	0.606686i	−0.992341	+	0.123527i	$0.960579\pi$
$168$	82.0061	+	82.0061i	0.488132	+	0.488132i
$169$	−54.2592	−	17.6299i	−0.321060	−	0.104319i
$170$	108.691	−	226.070i	0.639360	−	1.32983i
$171$	14.0338	+	43.1915i	0.0820689	+	0.252582i
$172$	22.6880	+	11.5601i	0.131907	+	0.0672101i
$173$	−37.0367	−	233.841i	−0.214085	−	1.35168i	−0.827299	−	0.561762i	$-0.810124\pi$
$173$	−37.0367	−	233.841i	−0.214085	−	1.35168i	0.613214	−	0.789917i	$-0.289876\pi$
$174$		−	52.7087i		−	0.302923i
$175$	39.2395	+	190.402i	0.224226	+	1.08801i
$176$	200.143			1.13718
$177$	−32.7699	+	5.19024i	−0.185141	+	0.0293234i
$178$	−41.5852	+	81.6156i	−0.233625	+	0.458515i
$179$	−138.724	+	45.0741i	−0.774993	+	0.251810i	−0.669701	−	0.742631i	$-0.733578\pi$
$179$	−138.724	+	45.0741i	−0.774993	+	0.251810i	−0.105292	+	0.994441i	$0.533578\pi$
$180$	1.71706	−	12.7373i	0.00953923	−	0.0707626i
$181$	43.2202	−	133.018i	0.238786	−	0.734907i	−0.757811	−	0.652474i	$-0.773731\pi$
$181$	43.2202	−	133.018i	0.238786	−	0.734907i	0.996597	−	0.0824326i	$-0.0262689\pi$
$182$	−103.143	+	103.143i	−0.566722	+	0.566722i
$183$	94.1010	−	47.9468i	0.514213	−	0.262005i
$184$	160.261	+	220.580i	0.870984	+	1.19881i
$185$	−296.478	+	103.956i	−1.60259	+	0.561923i
$186$	−34.0835	−	24.7631i	−0.183245	−	0.133135i
$187$	−74.8380	+	472.508i	−0.400203	+	2.52678i
$188$	−35.1767	−	5.57144i	−0.187110	−	0.0296353i
$189$	23.7500	−	32.6891i	0.125662	−	0.172958i
$190$	−44.4018	−	126.633i	−0.233694	−	0.666487i
$191$	8.56907	−	6.22579i	0.0448642	−	0.0325958i	−0.565127	−	0.825004i	$-0.691173\pi$
$191$	8.56907	−	6.22579i	0.0448642	−	0.0325958i	0.609991	+	0.792408i	$0.291173\pi$
$192$	55.9925	+	109.891i	0.291628	+	0.572351i
$193$	−41.7960	−	41.7960i	−0.216560	−	0.216560i	0.590487	−	0.807047i	$-0.298936\pi$
$193$	−41.7960	−	41.7960i	−0.216560	−	0.216560i	−0.807047	+	0.590487i	$0.798936\pi$
$194$	−197.902	−	64.3022i	−1.02011	−	0.331455i
$195$	90.8090	+	12.2416i	0.465687	+	0.0627775i
$196$	3.03652	+	9.34544i	0.0154924	+	0.0476808i
$197$	172.959	+	88.1269i	0.877964	+	0.447345i	0.834049	−	0.551690i	$-0.186017\pi$
$197$	172.959	+	88.1269i	0.877964	+	0.447345i	0.0439148	+	0.999035i	$0.486017\pi$
$198$	−14.0663	−	88.8114i	−0.0710422	−	0.448543i
$199$			267.168i			1.34255i	0.741206	+	0.671277i	$0.234254\pi$
$199$			267.168i			1.34255i	−0.741206	+	0.671277i	$0.765746\pi$
$200$	−23.8278	+	213.944i	−0.119139	+	1.06972i
$201$	−159.167			−0.791877
$202$	59.4372	−	9.41393i	0.294244	−	0.0466036i
$203$	60.5966	−	118.928i	0.298505	−	0.585850i
$204$	−39.9400	+	12.9773i	−0.195784	+	0.0636142i
$205$	33.1958	+	15.9600i	0.161931	+	0.0778537i
$206$	0.487670	−	1.50089i	0.00236733	−	0.00728589i
$207$	67.1705	−	67.1705i	0.324495	−	0.324495i
$208$	−111.606	+	56.8661i	−0.536567	+	0.273394i
$209$	150.430	+	207.049i	0.719759	+	0.990663i
$210$	−67.9294	+	98.1847i	−0.323473	+	0.467546i
$211$	−216.975	−	157.641i	−1.02832	−	0.747115i	−0.0603451	−	0.998178i	$-0.519220\pi$
$211$	−216.975	−	157.641i	−1.02832	−	0.747115i	−0.967971	+	0.251062i	$0.919220\pi$
$212$	−2.85141	+	18.0031i	−0.0134500	+	0.0849202i
$213$	−142.503	−	22.5702i	−0.669027	−	0.105964i
$214$	23.4113	−	32.2229i	0.109399	−	0.150574i
$215$	−42.6432	+	142.340i	−0.198340	+	0.662046i
$216$	36.1973	−	26.2989i	0.167580	−	0.121754i
$217$	−48.4343	−	95.0576i	−0.223199	−	0.438053i
$218$	230.885	+	230.885i	1.05911	+	1.05911i
$219$	−25.2307	−	8.19794i	−0.115209	−	0.0374335i
$220$	−12.9783	−	71.2562i	−0.0589923	−	0.323892i
$221$	−92.5204	−	284.748i	−0.418644	−	1.28845i
$222$	−171.920	−	87.5979i	−0.774417	−	0.394585i
$223$	21.0864	+	133.134i	0.0945576	+	0.597013i	0.988779	+	0.149388i	$0.0477303\pi$
$223$	21.0864	+	133.134i	0.0945576	+	0.597013i	−0.894221	+	0.447626i	$0.852270\pi$
$224$			104.622i			0.467061i
$225$	74.9201	−	3.46097i	0.332978	−	0.0153821i
$226$	−18.0722			−0.0799656
$227$	317.588	−	50.3011i	1.39907	−	0.221591i	0.589098	−	0.808062i	$-0.299483\pi$
$227$	317.588	−	50.3011i	1.39907	−	0.221591i	0.809970	+	0.586471i	$0.199483\pi$
$228$	−10.1994	+	20.0174i	−0.0447341	+	0.0877957i
$229$	−75.5584	+	24.5504i	−0.329949	+	0.107207i	−0.469307	−	0.883035i	$-0.655496\pi$
$229$	−75.5584	+	24.5504i	−0.329949	+	0.107207i	0.139358	+	0.990242i	$0.455496\pi$
$230$	−193.844	+	203.005i	−0.842799	+	0.882631i
$231$	70.3640	−	216.558i	0.304606	−	0.937481i
$232$	104.510	−	104.510i	0.450476	−	0.450476i
$233$	277.075	−	141.177i	1.18917	−	0.605910i	0.256462	−	0.966554i	$-0.417443\pi$
$233$	277.075	−	141.177i	1.18917	−	0.605910i	0.932703	+	0.360644i	$0.117443\pi$
$234$	33.0775	+	45.5273i	0.141357	+	0.194561i
$235$	−4.79658	−	207.775i	−0.0204110	−	0.884151i
$236$	−13.2785	−	9.64737i	−0.0562647	−	0.0408787i
$237$	−16.5094	+	104.236i	−0.0696597	+	0.439814i
$238$	385.313	+	61.0275i	1.61896	+	0.256418i
$239$	135.644	−	186.698i	0.567550	−	0.781165i	−0.424712	−	0.905328i	$-0.639625\pi$
$239$	135.644	−	186.698i	0.567550	−	0.781165i	0.992262	+	0.124163i	$0.0396247\pi$
$240$	−81.5312	+	62.1606i	−0.339713	+	0.259003i
$241$	239.415	−	173.945i	0.993422	−	0.721763i	0.0327542	−	0.999463i	$-0.489572\pi$
$241$	239.415	−	173.945i	0.993422	−	0.721763i	0.960668	+	0.277700i	$0.0895721\pi$
$242$	−132.657	−	260.355i	−0.548171	−	1.07585i
$243$	−11.0227	−	11.0227i	−0.0453609	−	0.0453609i
$244$	49.6883	+	16.1447i	0.203641	+	0.0661669i
$245$	−50.4771	+	27.2047i	−0.206029	+	0.111039i
$246$	6.99030	+	21.5139i	0.0284158	+	0.0874550i
$247$	−142.712	−	72.7155i	−0.577782	−	0.294395i
$248$	−18.4804	−	116.681i	−0.0745178	−	0.470487i
$249$			97.3666i			0.391031i
$250$	−221.081	+	15.3330i	−0.884325	+	0.0613322i
$251$	−393.147			−1.56632			−0.783162	−	0.621817i	$-0.786395\pi$
$251$	−393.147			−1.56632			−0.783162	+	0.621817i	$0.786395\pi$
$252$	19.7424	−	3.12689i	0.0783429	−	0.0124083i
$253$	243.032	−	476.976i	0.960599	−	1.88528i
$254$	25.2101	−	8.19127i	0.0992525	−	0.0322491i
$255$	−116.266	−	215.726i	−0.455944	−	0.845985i
$256$	−48.3377	+	148.768i	−0.188819	+	0.581125i
$257$	155.527	−	155.527i	0.605162	−	0.605162i	−0.336515	−	0.941678i	$-0.609248\pi$
$257$	155.527	−	155.527i	0.605162	−	0.605162i	0.941678	+	0.336515i	$0.109248\pi$
$258$	−81.3104	+	41.4297i	−0.315156	+	0.160580i
$259$	−287.200	−	395.297i	−1.10888	−	1.52624i
$260$	27.4829	+	36.0471i	0.105703	+	0.138643i
$261$	−41.6597	−	30.2676i	−0.159616	−	0.115968i
$262$	36.9483	−	233.282i	0.141024	−	0.890390i
$263$	−290.586	−	46.0243i	−1.10489	−	0.174997i	−0.422770	−	0.906237i	$-0.638942\pi$
$263$	−290.586	−	46.0243i	−1.10489	−	0.174997i	−0.682121	+	0.731240i	$0.738942\pi$
$264$	148.204	−	203.985i	0.561379	−	0.772672i
$265$	−106.337	+	2.45484i	−0.401273	+	0.00926354i
$266$	168.840	−	122.670i	0.634738	−	0.461164i
$267$	40.6271	+	79.7352i	0.152161	+	0.298634i
$268$	−55.6767	−	55.6767i	−0.207749	−	0.207749i
$269$	432.869	+	140.648i	1.60918	+	0.522854i	0.969354	−	0.245667i	$-0.0790068\pi$
$269$	432.869	+	140.648i	1.60918	+	0.522854i	0.639825	+	0.768521i	$0.279007\pi$
$270$	33.3132	+	31.8098i	0.123382	+	0.117814i
$271$	−5.00959	−	15.4179i	−0.0184856	−	0.0568928i	0.941388	−	0.337325i	$-0.109522\pi$
$271$	−5.00959	−	15.4179i	−0.0184856	−	0.0568928i	−0.959874	+	0.280432i	$0.909522\pi$
$272$	298.486	+	152.086i	1.09737	+	0.559140i
$273$	22.2929	+	140.752i	0.0816589	+	0.515574i
$274$			307.695i			1.12298i
$275$	395.512	−	149.017i	1.43822	−	0.541880i
$276$	46.9925			0.170263
$277$	−335.092	+	53.0733i	−1.20972	+	0.191600i	−0.728528	−	0.685016i	$-0.759795\pi$
$277$	−335.092	+	53.0733i	−1.20972	+	0.191600i	−0.481190	+	0.876617i	$0.659795\pi$
$278$	−137.218	+	269.305i	−0.493588	+	0.968722i
$279$	−39.1444	+	12.7188i	−0.140303	+	0.0455871i
$280$	−329.370	+	59.9901i	−1.17632	+	0.214250i
$281$	−62.6499	+	192.817i	−0.222954	+	0.686180i	0.775539	+	0.631299i	$0.217478\pi$
$281$	−62.6499	+	192.817i	−0.222954	+	0.686180i	−0.998493	+	0.0548812i	$0.982522\pi$
$282$	90.2546	−	90.2546i	0.320052	−	0.320052i
$283$	−94.0193	+	47.9052i	−0.332224	+	0.169276i	−0.612143	−	0.790747i	$-0.709692\pi$
$283$	−94.0193	+	47.9052i	−0.332224	+	0.169276i	0.279919	+	0.960024i	$0.409692\pi$
$284$	−41.9524	−	57.7426i	−0.147720	−	0.203319i
$285$	−125.585	−	37.6236i	−0.440649	−	0.132013i
$286$	256.563	+	186.404i	0.897074	+	0.651763i
$287$	−8.96118	+	56.5786i	−0.0312236	+	0.197138i
$288$	39.8657	+	6.31410i	0.138422	+	0.0219240i
$289$	−300.793	+	414.007i	−1.04081	+	1.43255i
$290$	125.129	+	86.5707i	0.431479	+	0.298520i
$291$	−164.467	+	119.492i	−0.565178	+	0.410625i
$292$	−5.95805	−	11.6933i	−0.0204043	−	0.0400456i
$293$	224.265	+	224.265i	0.765411	+	0.765411i	0.977295	−	0.211884i	$-0.0679599\pi$
$293$	224.265	+	224.265i	0.765411	+	0.765411i	−0.211884	+	0.977295i	$0.567960\pi$
$294$	−33.4926	−	10.8824i	−0.113920	−	0.0370150i
$295$	41.5011	−	86.3194i	0.140682	−	0.292608i
$296$	−167.194	−	514.571i	−0.564846	−	1.73842i
$297$	−78.2720	−	39.8816i	−0.263542	−	0.134281i
$298$	−24.9202	−	157.340i	−0.0836249	−	0.527987i
$299$			335.028i			1.12050i
$300$	27.4177	+	24.9964i	0.0913923	+	0.0833214i
$301$	−231.092			−0.767747
$302$	−139.405	+	22.0796i	−0.461607	+	0.0731113i
$303$	26.6908	−	52.3837i	0.0880885	−	0.172883i
$304$	170.441	−	55.3797i	0.560662	−	0.182170i
$305$	−40.7307	+	302.143i	−0.133543	+	0.990631i
$306$	46.5086	−	143.139i	0.151989	−	0.467774i
$307$	337.191	−	337.191i	1.09834	−	1.09834i	0.103737	−	0.994605i	$-0.466920\pi$
$307$	337.191	−	337.191i	1.09834	−	1.09834i	0.994605	−	0.103737i	$-0.0330800\pi$
$308$	100.365	−	51.1387i	0.325862	−	0.166035i
$309$	−0.906231	−	1.24732i	−0.00293279	−	0.00403663i
$310$	114.767	−	40.2413i	0.370216	−	0.129811i
$311$	336.990	+	244.837i	1.08357	+	0.787258i	0.978302	−	0.207186i	$-0.0664305\pi$
$311$	336.990	+	244.837i	1.08357	+	0.787258i	0.105266	+	0.994444i	$0.466430\pi$
$312$	−24.6853	+	155.857i	−0.0791197	+	0.499542i
$313$	254.125	+	40.2494i	0.811900	+	0.128592i	0.548560	−	0.836111i	$-0.315176\pi$
$313$	254.125	+	40.2494i	0.811900	+	0.128592i	0.263339	+	0.964703i	$0.415176\pi$
$314$	−134.689	+	185.383i	−0.428945	+	0.590392i
$315$	38.5950	+	110.072i	0.122524	+	0.349434i
$316$	−42.2367	+	30.6868i	−0.133661	+	0.0971100i
$317$	19.0123	+	37.3137i	0.0599757	+	0.117709i	0.919048	−	0.394145i	$-0.128959\pi$
$317$	19.0123	+	37.3137i	0.0599757	+	0.117709i	−0.859073	+	0.511853i	$0.828959\pi$
$318$	−46.1914	−	46.1914i	−0.145256	−	0.145256i
$319$	−275.986	−	89.6734i	−0.865161	−	0.281108i
$320$	−352.843	−	47.5654i	−1.10264	−	0.148642i
$321$	−12.0245	−	37.0075i	−0.0374594	−	0.115288i
$322$	−388.956	−	198.183i	−1.20794	−	0.615475i
$323$	67.0115	+	423.094i	0.207466	+	1.30989i
$324$		−	7.71148i		−	0.0238009i
$325$	−178.209	+	195.472i	−0.548337	+	0.601452i
$326$	−172.682			−0.529701
$327$	315.071	−	49.9023i	0.963520	−	0.152607i
$328$	−28.7973	+	56.5180i	−0.0877968	+	0.172311i
$329$	307.404	−	99.8817i	0.934360	−	0.303592i
$330$	233.939	+	112.474i	0.708905	+	0.340831i
$331$	−147.283	+	453.291i	−0.444964	+	1.36946i	0.437560	+	0.899189i	$0.355843\pi$
$331$	−147.283	+	453.291i	−0.444964	+	1.36946i	−0.882523	+	0.470268i	$0.844157\pi$
$332$	−34.0588	+	34.0588i	−0.102587	+	0.102587i
$333$	−167.959	+	85.5796i	−0.504383	+	0.256996i
$334$	118.496	+	163.095i	0.354777	+	0.488309i
$335$	261.422	−	377.858i	0.780365	−	1.12794i
$336$	−128.997	−	93.7217i	−0.383919	−	0.278934i
$337$	−11.6859	+	73.7818i	−0.0346762	+	0.218937i	−0.998941	−	0.0460021i	$-0.985352\pi$
$337$	−11.6859	+	73.7818i	−0.0346762	+	0.218937i	0.964265	+	0.264939i	$0.0853519\pi$
$338$	99.9012	+	15.8228i	0.295566	+	0.0468130i
$339$	−10.3778	+	14.2839i	−0.0306131	+	0.0421353i
$340$	34.7913	−	116.131i	0.102327	−	0.341561i
$341$	−187.648	+	136.334i	−0.550287	+	0.399807i
$342$	−36.5530	−	71.7393i	−0.106880	−	0.209764i
$343$	206.370	+	206.370i	0.601663	+	0.601663i
$344$	−243.368	−	79.0751i	−0.707466	−	0.229870i
$345$	49.1373	+	269.784i	0.142427	+	0.781983i
$346$	129.708	+	399.200i	0.374878	+	1.15376i
$347$	−255.128	−	129.994i	−0.735240	−	0.374623i	0.0459278	−	0.998945i	$-0.485376\pi$
$347$	−255.128	−	129.994i	−0.735240	−	0.374623i	−0.781168	+	0.624321i	$0.785376\pi$
$348$	−3.98498	−	25.1602i	−0.0114511	−	0.0722994i
$349$		−	106.293i		−	0.304564i	−0.988337	−	0.152282i	$-0.951338\pi$
$349$		−	106.293i		−	0.304564i	0.988337	−	0.152282i	$-0.0486622\pi$
$350$	−121.518	−	322.525i	−0.347194	−	0.921499i
$351$	54.9783			0.156633
$352$	224.658	−	35.5823i	0.638232	−	0.101086i
$353$	−74.0079	+	145.249i	−0.209654	+	0.411469i	−0.971756	−	0.235988i	$-0.924167\pi$
$353$	−74.0079	+	145.249i	−0.209654	+	0.411469i	0.762102	+	0.647457i	$0.224167\pi$
$354$	55.9430	−	18.1770i	0.158031	−	0.0513474i
$355$	287.633	−	301.227i	0.810234	−	0.848527i
$356$	−13.6800	+	42.1027i	−0.0384270	+	0.118266i
$357$	269.498	−	269.498i	0.754896	−	0.754896i
$358$	230.414	−	117.402i	0.643615	−	0.327938i
$359$	−153.557	−	211.353i	−0.427735	−	0.588727i	0.539696	−	0.841860i	$-0.318539\pi$
$359$	−153.557	−	211.353i	−0.427735	−	0.588727i	−0.967432	+	0.253133i	$0.918539\pi$
$360$	2.98092	+	129.126i	0.00828032	+	0.358682i
$361$	−106.660	−	77.4927i	−0.295456	−	0.214661i
$362$	−38.7901	+	244.911i	−0.107155	+	0.676550i
$363$	−281.956	−	44.6575i	−0.776739	−	0.123023i
$364$	−41.4369	+	57.0330i	−0.113838	+	0.156684i
$365$	60.9015	−	46.4322i	0.166853	−	0.127212i
$366$	−151.480	+	110.057i	−0.413879	+	0.300701i
$367$	86.3584	+	169.488i	0.235309	+	0.461820i	0.978220	−	0.207570i	$-0.0665556\pi$
$367$	86.3584	+	169.488i	0.235309	+	0.461820i	−0.742911	+	0.669390i	$0.766556\pi$
$368$	−265.066	−	265.066i	−0.720289	−	0.720289i
$369$	21.0182	+	6.82924i	0.0569600	+	0.0185074i
$370$	490.323	−	264.260i	1.32520	−	0.714216i
$371$	−51.1184	−	157.326i	−0.137785	−	0.424060i
$372$	−18.1417	−	9.24368i	−0.0487681	−	0.0248486i
$373$	76.5993	+	483.629i	0.205360	+	1.29659i	0.847824	+	0.530277i	$0.177912\pi$
$373$	76.5993	+	483.629i	0.205360	+	1.29659i	−0.642464	+	0.766316i	$0.722088\pi$
$374$		−	848.151i		−	2.26778i
$375$	−114.835	+	183.542i	−0.306228	+	0.489447i
$376$	357.912			0.951895
$377$	179.377	−	28.4105i	0.475801	−	0.0753595i
$378$	−32.5219	+	63.8279i	−0.0860368	+	0.168857i
$379$	−361.860	+	117.576i	−0.954777	+	0.310226i	−0.744655	−	0.667449i	$-0.767386\pi$
$379$	−361.860	+	117.576i	−0.954777	+	0.310226i	−0.210122	+	0.977675i	$0.567386\pi$
$380$	−30.7689	−	57.0904i	−0.0809707	−	0.150238i
$381$	8.00254	−	24.6293i	0.0210040	−	0.0646438i
$382$	−13.2784	+	13.2784i	−0.0347601	+	0.0347601i
$383$	−570.982	+	290.930i	−1.49082	+	0.759609i	−0.994117	−	0.108314i	$-0.965455\pi$
$383$	−570.982	+	290.930i	−1.49082	+	0.759609i	−0.496699	+	0.867923i	$0.665455\pi$
$384$	−73.7350	−	101.487i	−0.192018	−	0.264290i
$385$	398.534	+	522.725i	1.03515	+	1.35773i
$386$	84.7796	+	61.5960i	0.219636	+	0.159575i
$387$	−13.9468	+	88.0566i	−0.0360382	+	0.227536i
$388$	−99.3288	−	15.7321i	−0.256002	−	0.0405467i
$389$	202.231	−	278.348i	0.519875	−	0.715547i	−0.465670	−	0.884958i	$-0.654187\pi$
$389$	202.231	−	278.348i	0.519875	−	0.715547i	0.985545	+	0.169412i	$0.0541867\pi$
$390$	−162.408	+	3.74926i	−0.416431	+	0.00961348i
$391$	724.896	−	526.668i	1.85395	−	1.34698i
$392$	−44.8313	−	87.9865i	−0.114366	−	0.224455i
$393$	−163.164	−	163.164i	−0.415175	−	0.415175i
$394$	−327.305	−	106.348i	−0.830722	−	0.269918i
$395$	−220.337	−	210.394i	−0.557816	−	0.532643i
$396$	−13.4290	−	41.3301i	−0.0339116	−	0.104369i
$397$	−587.163	−	299.174i	−1.47900	−	0.753588i	−0.486253	−	0.873818i	$-0.661637\pi$
$397$	−587.163	−	299.174i	−1.47900	−	0.753588i	−0.992746	+	0.120230i	$0.961637\pi$
$398$	−74.0971	−	467.831i	−0.186174	−	1.17545i
$399$		−	203.890i		−	0.511002i
$400$	−13.6576	−	295.648i	−0.0341439	−	0.739119i
$401$	−340.589			−0.849349			−0.424675	−	0.905346i	$-0.639611\pi$
$401$	−340.589			−0.849349			−0.424675	+	0.905346i	$0.639611\pi$
$402$	278.713	−	44.1438i	0.693316	−	0.109811i
$403$	65.9019	−	129.340i	0.163528	−	0.320942i
$404$	27.6603	−	8.98736i	0.0684660	−	0.0222460i
$405$	44.2717	−	8.06346i	0.109313	−	0.0199098i
$406$	−73.1253	+	225.057i	−0.180112	+	0.554326i
$407$	−751.158	+	751.158i	−1.84560	+	1.84560i
$408$	376.031	−	191.598i	0.921646	−	0.469602i
$409$	343.203	+	472.379i	0.839128	+	1.15496i	0.986155	+	0.165828i	$0.0530296\pi$
$409$	343.203	+	472.379i	0.839128	+	1.15496i	−0.147027	+	0.989132i	$0.546970\pi$
$410$	−62.5545	−	18.7405i	−0.152572	−	0.0457086i
$411$	243.195	+	176.692i	0.591716	+	0.429907i
$412$	0.119313	−	0.753312i	0.000289594	−	0.00182843i
$413$	147.122	+	23.3019i	0.356228	+	0.0564210i
$414$	−98.9911	+	136.250i	−0.239109	+	0.329105i
$415$	−231.145	−	159.919i	−0.556977	−	0.385346i
$416$	−115.166	+	83.6730i	−0.276841	+	0.201137i
$417$	134.056	+	263.100i	0.321477	+	0.630935i
$418$	−320.836	−	320.836i	−0.767551	−	0.767551i
$419$	101.072	+	32.8404i	0.241223	+	0.0783780i	0.427133	−	0.904189i	$-0.359524\pi$
$419$	101.072	+	32.8404i	0.241223	+	0.0783780i	−0.185911	+	0.982567i	$0.559524\pi$
$420$	−25.0026	+	52.0036i	−0.0595299	+	0.123818i
$421$	182.908	+	562.932i	0.434460	+	1.33713i	0.893639	+	0.448786i	$0.148143\pi$
$421$	182.908	+	562.932i	0.434460	+	1.33713i	−0.459180	+	0.888344i	$0.651857\pi$
$422$	423.659	+	215.865i	1.00393	+	0.511528i
$423$	−19.5071	−	123.163i	−0.0461162	−	0.291166i
$424$		−	183.176i		−	0.432018i
$425$	703.087	+	78.3057i	1.65432	+	0.184249i
$426$	255.792			0.600451
$427$	−468.313	+	74.1735i	−1.09675	+	0.173708i
$428$	8.73906	−	17.1514i	0.0204184	−	0.0400733i
$429$	294.659	−	95.7406i	0.686851	−	0.223171i
$430$	35.1944	−	261.074i	0.0818474	−	0.607149i
$431$	114.021	−	350.920i	0.264549	−	0.814199i	−0.727248	−	0.686375i	$-0.759201\pi$
$431$	114.021	−	350.920i	0.264549	−	0.814199i	0.991797	−	0.127824i	$-0.0407992\pi$
$432$	−43.4975	+	43.4975i	−0.100689	+	0.100689i
$433$	505.480	−	257.555i	1.16739	−	0.594815i	0.240685	−	0.970603i	$-0.422628\pi$
$433$	505.480	−	257.555i	1.16739	−	0.594815i	0.926706	+	0.375788i	$0.122628\pi$
$434$	111.175	+	153.020i	0.256164	+	0.352580i
$435$	140.278	−	49.1863i	0.322478	−	0.113072i
$436$	127.668	+	92.7560i	0.292816	+	0.212743i
$437$	74.9852	−	473.438i	0.171591	−	1.08338i
$438$	46.4543	+	7.35764i	0.106060	+	0.0167983i
$439$	241.759	−	332.753i	0.550704	−	0.757979i	−0.439404	−	0.898290i	$-0.644810\pi$
$439$	241.759	−	332.753i	0.550704	−	0.757979i	0.990107	+	0.140311i	$0.0448102\pi$
$440$	240.839	+	686.865i	0.547361	+	1.56106i
$441$	−27.8341	+	20.2226i	−0.0631158	+	0.0458563i
$442$	240.983	+	472.955i	0.545209	+	1.07003i
$443$	−429.743	−	429.743i	−0.970075	−	0.970075i	0.0294905	−	0.999565i	$-0.490612\pi$
$443$	−429.743	−	429.743i	−0.970075	−	0.970075i	−0.999565	+	0.0294905i	$0.990612\pi$
$444$	−88.6880	−	28.8165i	−0.199748	−	0.0649020i
$445$	−256.016	−	34.5126i	−0.575318	−	0.0775564i
$446$	−73.8474	−	227.279i	−0.165577	−	0.509594i
$447$	−138.668	−	70.6550i	−0.310220	−	0.158065i
$448$	−86.6201	−	546.898i	−0.193348	−	1.22075i
$449$		−	221.522i		−	0.493367i	−0.969096	−	0.246684i	$-0.920659\pi$
$449$		−	221.522i		−	0.493367i	0.969096	−	0.246684i	$-0.0793408\pi$
$450$	−130.231	+	26.8389i	−0.289401	+	0.0596420i
$451$	124.541			0.276144
$452$	−8.62667	+	1.36633i	−0.0190856	+	0.00302286i
$453$	−62.6012	+	122.862i	−0.138192	+	0.271218i
$454$	−542.169	+	176.162i	−1.19421	+	0.388021i
$455$	−370.755	−	178.253i	−0.814846	−	0.391765i
$456$	69.7671	−	214.721i	0.152998	−	0.470880i
$457$	−587.605	+	587.605i	−1.28579	+	1.28579i	−0.348465	+	0.937322i	$0.613297\pi$
$457$	−587.605	+	587.605i	−1.28579	+	1.28579i	−0.937322	+	0.348465i	$0.886703\pi$
$458$	125.499	−	63.9450i	0.274016	−	0.139618i
$459$	−86.4264	−	118.956i	−0.188293	−	0.259163i
$460$	−77.1822	+	111.559i	−0.167787	+	0.242519i
$461$	−508.120	−	369.171i	−1.10221	−	0.800804i	−0.120792	−	0.992678i	$-0.538544\pi$
$461$	−508.120	−	369.171i	−1.10221	−	0.800804i	−0.981420	+	0.191874i	$0.938544\pi$
$462$	−63.1516	+	398.724i	−0.136692	+	0.863038i
$463$	−251.540	−	39.8400i	−0.543282	−	0.0860475i	−0.121239	−	0.992623i	$-0.538687\pi$
$463$	−251.540	−	39.8400i	−0.543282	−	0.0860475i	−0.422043	+	0.906576i	$0.638687\pi$
$464$	−119.441	+	164.396i	−0.257416	+	0.354303i
$465$	34.0982	−	113.817i	0.0733296	−	0.244769i
$466$	−446.024	+	324.056i	−0.957134	+	0.695399i
$467$	93.3534	+	183.216i	0.199900	+	0.392326i	0.969095	−	0.246688i	$-0.0793424\pi$
$467$	93.3534	+	183.216i	0.199900	+	0.392326i	−0.769195	+	0.639015i	$0.779342\pi$
$468$	19.2314	+	19.2314i	0.0410927	+	0.0410927i
$469$	679.616	+	220.820i	1.44907	+	0.470833i
$470$	66.0241	+	362.499i	0.140477	+	0.771275i
$471$	69.1786	+	212.910i	0.146876	+	0.452038i
$472$	146.964	+	74.8821i	0.311365	+	0.158649i
$473$	78.5953	+	496.231i	0.166164	+	1.04912i
$474$		−	187.103i		−	0.394733i
$475$	295.583	−	236.340i	0.622280	−	0.497559i
$476$	188.541			0.396094
$477$	−63.0336	+	9.98355i	−0.132146	+	0.0209299i
$478$	−185.744	+	364.542i	−0.388585	+	0.762641i
$479$	55.1362	−	17.9148i	0.115107	−	0.0374005i	−0.250897	−	0.968014i	$-0.580726\pi$
$479$	55.1362	−	17.9148i	0.115107	−	0.0374005i	0.366004	+	0.930613i	$0.380726\pi$
$480$	−80.4663	+	84.2693i	−0.167638	+	0.175561i
$481$	205.444	−	632.292i	0.427119	−	1.31454i
$482$	−370.990	+	370.990i	−0.769688	+	0.769688i
$483$	−379.995	+	193.617i	−0.786739	+	0.400863i
$484$	−83.0071	−	114.249i	−0.171502	−	0.236053i
$485$	−13.5441	−	586.697i	−0.0279261	−	1.20968i
$486$	22.3586	+	16.2445i	0.0460053	+	0.0334248i
$487$	−30.5507	+	192.889i	−0.0627324	+	0.396077i	0.936264	+	0.351296i	$0.114259\pi$
$487$	−30.5507	+	192.889i	−0.0627324	+	0.396077i	−0.998997	+	0.0447806i	$0.985741\pi$
$488$	−518.572	−	82.1338i	−1.06265	−	0.168307i
$489$	−99.1616	+	136.484i	−0.202785	+	0.279109i
$490$	80.8440	−	61.6367i	0.164988	−	0.125789i
$491$	704.025	−	511.504i	1.43386	−	1.04176i	0.444579	−	0.895740i	$-0.353353\pi$
$491$	704.025	−	511.504i	1.43386	−	1.04176i	0.989282	−	0.146021i	$-0.0466466\pi$
$492$	4.96331	+	9.74105i	0.0100880	+	0.0197989i
$493$	−343.454	−	343.454i	−0.696661	−	0.696661i
$494$	270.066	+	87.7498i	0.546693	+	0.177631i
$495$	223.235	−	120.312i	0.450979	−	0.243055i
$496$	50.1905	+	154.471i	0.101191	+	0.311433i
$497$	577.148	+	294.072i	1.16126	+	0.591694i
$498$	−27.0039	−	170.496i	−0.0542247	−	0.342361i
$499$		−	706.592i		−	1.41602i	−0.706204	−	0.708008i	$-0.749594\pi$
$499$		−	706.592i		−	1.41602i	0.706204	−	0.708008i	$-0.250406\pi$
$500$	−104.373	+	24.0337i	−0.208745	+	0.0480675i
$501$	196.952			0.393118
$502$	688.429	−	109.036i	1.37137	−	0.217204i
$503$	−3.47070	+	6.81163i	−0.00690000	+	0.0135420i	−0.894431	−	0.447206i	$-0.852419\pi$
$503$	−3.47070	+	6.81163i	−0.00690000	+	0.0135420i	0.887531	+	0.460748i	$0.152419\pi$
$504$	−191.042	+	62.0732i	−0.379051	+	0.123161i
$505$	80.5192	+	149.400i	0.159444	+	0.295842i
$506$	−293.280	+	902.623i	−0.579604	+	1.78384i
$507$	69.8735	−	69.8735i	0.137818	−	0.137818i
$508$	11.4146	−	5.81604i	0.0224697	−	0.0114489i
$509$	104.095	+	143.275i	0.204509	+	0.281483i	0.898936	−	0.438081i	$-0.144342\pi$
$509$	104.095	+	143.275i	0.204509	+	0.281483i	−0.694426	+	0.719564i	$0.744342\pi$
$510$	263.420	+	345.507i	0.516509	+	0.677464i
$511$	96.3570	+	70.0075i	0.188566	+	0.137001i
$512$	88.7027	−	560.047i	0.173247	−	1.09384i
$513$	−77.6914	−	12.3051i	−0.151445	−	0.0239866i
$514$	−229.204	+	315.473i	−0.445923	+	0.613760i
$515$	4.44953	−	0.102719i	0.00863986	−	0.000199455i
$516$	−35.6808	+	25.9236i	−0.0691488	+	0.0502395i
$517$	−319.029	−	626.130i	−0.617078	−	1.21108i
$518$	612.541	+	612.541i	1.18251	+	1.18251i
$519$	390.002	+	126.719i	0.751449	+	0.244161i
$520$	−329.456	−	314.588i	−0.633569	−	0.604977i
$521$	165.924	+	510.661i	0.318472	+	0.980156i	0.974302	+	0.225247i	$0.0723190\pi$
$521$	165.924	+	510.661i	0.318472	+	0.980156i	−0.655830	+	0.754909i	$0.727681\pi$
$522$	81.3436	+	41.4467i	0.155831	+	0.0793997i
$523$	90.6581	+	572.393i	0.173342	+	1.09444i	0.908911	+	0.416991i	$0.136915\pi$
$523$	90.6581	+	572.393i	0.173342	+	1.09444i	−0.735568	+	0.677451i	$0.763085\pi$
$524$		−	114.149i		−	0.217842i
$525$	−324.697	−	89.1626i	−0.618470	−	0.169833i
$526$	521.602			0.991638
$527$	−383.449	+	60.7324i	−0.727608	+	0.115242i
$528$	−157.380	+	308.875i	−0.298067	+	0.584990i
$529$	−450.457	+	146.362i	−0.851526	+	0.276678i
$530$	185.523	−	33.7904i	0.350044	−	0.0637555i
$531$	17.7582	−	54.6540i	0.0334429	−	0.102927i
$532$	71.3206	−	71.3206i	0.134061	−	0.134061i
$533$	−69.4479	+	35.3854i	−0.130296	+	0.0663892i
$534$	−93.2549	−	128.354i	−0.174635	−	0.240364i
$535$	107.604	+	32.2368i	0.201129	+	0.0602557i
$536$	640.159	+	465.103i	1.19433	+	0.867729i
$537$	39.5219	−	249.531i	0.0735975	−	0.464677i
$538$	−796.992	−	126.231i	−1.48140	−	0.234630i
$539$	−113.962	+	156.855i	−0.211433	+	0.291012i
$540$	18.3068	+	12.6656i	0.0339015	+	0.0234549i
$541$	−668.543	+	485.725i	−1.23575	+	0.897828i	−0.997308	−	0.0733272i	$-0.976638\pi$
$541$	−668.543	+	485.725i	−1.23575	+	0.897828i	−0.238447	+	0.971156i	$0.576638\pi$
$542$	13.0482	+	25.6085i	0.0240742	+	0.0472482i
$543$	171.297	+	171.297i	0.315464	+	0.315464i
$544$	362.084	+	117.648i	0.665596	+	0.216265i
$545$	−399.018	+	829.930i	−0.732143	+	1.52281i
$546$	−78.0728	−	240.283i	−0.142990	−	0.440079i
$547$	−61.5629	−	31.3679i	−0.112547	−	0.0573453i	0.396811	−	0.917900i	$-0.370117\pi$
$547$	−61.5629	−	31.3679i	−0.112547	−	0.0573453i	−0.509357	+	0.860555i	$0.670117\pi$
$548$	23.2630	+	146.877i	0.0424507	+	0.268023i
$549$			182.925i			0.333197i
$550$	−651.240	+	370.631i	−1.18407	+	0.673875i
$551$	−259.842			−0.471582
$552$	−466.433	+	73.8758i	−0.844988	+	0.133833i
$553$	215.104	−	422.165i	0.388976	−	0.763408i
$554$	572.050	−	185.870i	1.03258	−	0.335506i
$555$	72.6996	−	539.290i	0.130990	−	0.971693i
$556$	−45.1395	+	138.925i	−0.0811862	+	0.249865i
$557$	−356.962	+	356.962i	−0.640865	+	0.640865i	−0.950768	−	0.309903i	$-0.899703\pi$
$557$	−356.962	+	356.962i	−0.640865	+	0.640865i	0.309903	+	0.950768i	$0.399703\pi$
$558$	65.0172	−	33.1279i	0.116518	−	0.0593690i
$559$	−184.820	−	254.383i	−0.330626	−	0.455067i
$560$	434.362	−	152.303i	0.775646	−	0.271969i
$561$	−670.360	−	487.045i	−1.19494	−	0.868173i
$562$	56.2282	−	355.011i	0.100050	−	0.631692i
$563$	192.995	+	30.5674i	0.342797	+	0.0542938i	0.325460	−	0.945556i	$-0.394481\pi$
$563$	192.995	+	30.5674i	0.342797	+	0.0542938i	0.0173377	+	0.999850i	$0.494481\pi$
$564$	36.2589	−	49.9061i	0.0642888	−	0.0884860i
$565$	−16.8645	−	48.0971i	−0.0298487	−	0.0851276i
$566$	151.348	−	109.961i	0.267400	−	0.194277i
$567$	31.7726	+	62.3573i	0.0560364	+	0.109978i
$568$	507.183	+	507.183i	0.892928	+	0.892928i
$569$	212.721	+	69.1172i	0.373850	+	0.121471i	0.489915	−	0.871770i	$-0.337028\pi$
$569$	212.721	+	69.1172i	0.373850	+	0.121471i	−0.116064	+	0.993242i	$0.537028\pi$
$570$	230.343	+	31.0516i	0.404110	+	0.0544765i
$571$	−172.947	−	532.276i	−0.302884	−	0.932183i	−0.980458	−	0.196728i	$-0.936969\pi$
$571$	−172.947	−	532.276i	−0.302884	−	0.932183i	0.677574	−	0.735455i	$-0.263031\pi$
$572$	136.562	+	69.5817i	0.238744	+	0.121646i
$573$	2.86991	+	18.1199i	0.00500858	+	0.0316229i
$574$		−	101.559i		−	0.176931i
$575$	−721.164	−	326.453i	−1.25420	−	0.567744i
$576$	−213.621			−0.370870
$577$	473.457	−	74.9882i	0.820549	−	0.129962i	0.267975	−	0.963426i	$-0.413646\pi$
$577$	473.457	−	74.9882i	0.820549	−	0.129962i	0.552574	+	0.833464i	$0.313646\pi$
$578$	411.889	−	808.378i	0.712611	−	1.39858i
$579$	97.3681	−	31.6368i	0.168166	−	0.0546404i
$580$	66.2746	+	31.8638i	0.114267	+	0.0549376i
$581$	135.081	−	415.738i	0.232498	−	0.715556i
$582$	254.853	−	254.853i	0.437891	−	0.437891i
$583$	−320.447	+	163.276i	−0.549651	+	0.280061i
$584$	77.5206	+	106.698i	0.132741	+	0.182702i
$585$	−90.2984	+	130.517i	−0.154356	+	0.223106i
$586$	−454.903	−	330.506i	−0.776285	−	0.564004i
$587$	99.8326	−	630.318i	0.170072	−	1.07380i	−0.743981	−	0.668201i	$-0.767065\pi$
$587$	99.8326	−	630.318i	0.170072	−	1.07380i	0.914053	−	0.405594i	$-0.132935\pi$
$588$	−16.8102	−	2.66248i	−0.0285889	−	0.00452803i
$589$	−122.076	+	168.024i	−0.207260	+	0.285270i
$590$	−48.7313	+	162.661i	−0.0825954	+	0.275697i
$591$	−272.007	+	197.625i	−0.460249	+	0.334390i
$592$	337.712	+	662.797i	0.570459	+	1.11959i
$593$	−238.968	−	238.968i	−0.402982	−	0.402982i	0.476301	−	0.879282i	$-0.341977\pi$
$593$	−238.968	−	238.968i	−0.402982	−	0.402982i	−0.879282	+	0.476301i	$0.841977\pi$
$594$	148.121	+	48.1273i	0.249361	+	0.0810225i
$595$	197.146	+	1082.41i	0.331338	+	1.81918i
$596$	−23.7910	−	73.2213i	−0.0399178	−	0.122855i
$597$	−412.313	−	210.084i	−0.690641	−	0.351899i
$598$	−92.9175	−	586.658i	−0.155380	−	0.981034i
$599$		−	45.0065i		−	0.0751360i	−0.999294	−	0.0375680i	$-0.988039\pi$
$599$		−	45.0065i		−	0.0751360i	0.999294	−	0.0375680i	$-0.0119611\pi$
$600$	−311.436	−	205.004i	−0.519060	−	0.341674i
$601$	432.485			0.719609			0.359804	−	0.933028i	$-0.382843\pi$
$601$	432.485			0.719609			0.359804	+	0.933028i	$0.382843\pi$
$602$	404.658	−	64.0915i	0.672189	−	0.106464i
$603$	125.159	−	245.638i	0.207560	−	0.407360i
$604$	−64.8749	+	21.0791i	−0.107409	+	0.0348992i
$605$	569.111	−	596.008i	0.940680	−	0.985138i
$606$	−32.2093	+	99.1300i	−0.0531507	+	0.163581i
$607$	310.949	−	310.949i	0.512271	−	0.512271i	−0.402951	−	0.915222i	$-0.632015\pi$
$607$	310.949	−	310.949i	0.512271	−	0.512271i	0.915222	+	0.402951i	$0.132015\pi$
$608$	181.472	−	92.4646i	0.298474	−	0.152080i
$609$	135.888	+	187.034i	0.223133	+	0.307116i
$610$	−12.4746	−	540.369i	−0.0204502	−	0.885852i
$611$	355.801	+	258.504i	0.582325	+	0.423084i
$612$	11.3788	−	71.8427i	0.0185927	−	0.117390i
$613$	1150.21	+	182.175i	1.87636	+	0.297186i	0.987085	−	0.160195i	$-0.0512123\pi$
$613$	1150.21	+	182.175i	1.87636	+	0.297186i	0.889271	+	0.457381i	$0.151212\pi$
$614$	−496.928	+	683.963i	−0.809329	+	1.11395i
$615$	−50.7336	+	38.6801i	−0.0824936	+	0.0628944i
$616$	−915.803	+	665.370i	−1.48669	+	1.08015i
$617$	−306.104	−	600.763i	−0.496116	−	0.973683i	−0.994301	−	0.106612i	$-0.966000\pi$
$617$	−306.104	−	600.763i	−0.496116	−	0.973683i	0.498184	−	0.867071i	$-0.334000\pi$
$618$	1.93281	+	1.93281i	0.00312752	+	0.00312752i
$619$	512.453	+	166.506i	0.827873	+	0.268992i	0.692149	−	0.721754i	$-0.256664\pi$
$619$	512.453	+	166.506i	0.827873	+	0.268992i	0.135724	+	0.990747i	$0.456664\pi$
$620$	51.7409	−	27.8858i	0.0834531	−	0.0449771i
$621$	50.8436	+	156.481i	0.0818738	+	0.251982i
$622$	−657.997	−	335.266i	−1.05787	−	0.539013i
$623$	−62.8499	−	396.819i	−0.100883	−	0.636948i
$624$		−	216.954i		−	0.347682i
$625$	−247.114	−	574.073i	−0.395383	−	0.918516i
$626$	−456.153			−0.728679
$627$	−437.820	+	69.3438i	−0.698277	+	0.110596i
$628$	−50.2772	+	98.6745i	−0.0800592	+	0.157125i
$629$	−1691.04	+	549.453i	−2.68846	+	0.873534i
$630$	−98.1102	−	182.039i	−0.155730	−	0.288951i
$631$	245.456	−	755.437i	0.388996	−	1.19721i	−0.544544	−	0.838732i	$-0.683297\pi$
$631$	245.456	−	755.437i	0.388996	−	1.19721i	0.933540	−	0.358474i	$-0.116703\pi$
$632$	370.987	−	370.987i	0.587005	−	0.587005i
$633$	413.898	−	210.891i	0.653867	−	0.333162i
$634$	−43.6406	−	60.0661i	−0.0688337	−	0.0947415i
$635$	45.3255	+	59.4499i	0.0713788	+	0.0936219i
$636$	−25.5414	−	18.5569i	−0.0401595	−	0.0291776i
$637$	18.9819	−	119.847i	0.0297989	−	0.188143i
$638$	508.142	+	80.4818i	0.796461	+	0.126147i
$639$	146.887	−	202.172i	0.229870	−	0.316389i
$640$	362.033	−	8.35768i	0.565677	−	0.0130589i
$641$	498.020	−	361.833i	0.776942	−	0.564482i	−0.127118	−	0.991888i	$-0.540573\pi$
$641$	498.020	−	361.833i	0.776942	−	0.564482i	0.904060	+	0.427406i	$0.140573\pi$
$642$	31.3194	+	61.4678i	0.0487842	+	0.0957443i
$643$	330.527	+	330.527i	0.514039	+	0.514039i	0.915762	−	0.401722i	$-0.131588\pi$
$643$	330.527	+	330.527i	0.514039	+	0.514039i	−0.401722	+	0.915762i	$0.631588\pi$
$644$	−200.649	−	65.1949i	−0.311567	−	0.101234i
$645$	−186.137	−	177.737i	−0.288584	−	0.275561i
$646$	−234.684	−	722.282i	−0.363287	−	1.11808i
$647$	530.608	+	270.358i	0.820105	+	0.417864i	0.813109	−	0.582111i	$-0.197773\pi$
$647$	530.608	+	270.358i	0.820105	+	0.417864i	0.00699581	+	0.999976i	$0.497773\pi$
$648$	12.1230	+	76.5419i	0.0187084	+	0.118120i
$649$		−	323.846i		−	0.498992i
$650$	257.845	−	391.710i	0.396684	−	0.602631i
$651$	184.785			0.283848
$652$	−82.4290	+	13.0555i	−0.126425	+	0.0200237i
$653$	−256.627	+	503.660i	−0.392998	+	0.771301i	−0.999721	−	0.0236116i	$-0.992483\pi$
$653$	−256.627	+	503.660i	−0.392998	+	0.771301i	0.606724	+	0.794913i	$0.292483\pi$
$654$	−537.872	+	174.765i	−0.822434	+	0.267225i
$655$	655.332	−	119.359i	1.00051	−	0.182228i
$656$	26.9494	−	82.9416i	0.0410813	−	0.126435i
$657$	32.4914	−	32.4914i	0.0494541	−	0.0494541i
$658$	−510.585	+	260.156i	−0.775966	+	0.395374i
$659$	−154.096	−	212.094i	−0.233832	−	0.321843i	0.675935	−	0.736961i	$-0.263740\pi$
$659$	−154.096	−	212.094i	−0.233832	−	0.321843i	−0.909767	+	0.415119i	$0.863740\pi$
$660$	120.173	+	36.0022i	0.182080	+	0.0545488i
$661$	−724.043	−	526.048i	−1.09537	−	0.795836i	−0.115076	−	0.993357i	$-0.536711\pi$
$661$	−724.043	−	526.048i	−1.09537	−	0.795836i	−0.980299	+	0.197520i	$0.936711\pi$
$662$	132.186	−	834.592i	0.199677	−	1.26071i
$663$	512.195	+	81.1238i	0.772542	+	0.122359i
$664$	284.515	−	391.601i	0.428486	−	0.589761i
$665$	484.028	+	334.876i	0.727862	+	0.503573i
$666$	270.374	−	196.438i	0.405967	−	0.294952i
$667$	246.750	+	484.274i	0.369940	+	0.726047i
$668$	68.8938	+	68.8938i	0.103134	+	0.103134i
$669$	−222.042	−	72.1460i	−0.331902	−	0.107842i
$670$	−352.973	+	734.160i	−0.526825	+	1.09576i
$671$	318.551	+	980.399i	0.474740	+	1.46110i
$672$	−161.459	−	82.2676i	−0.240267	−	0.122422i
$673$	71.7949	+	453.295i	0.106679	+	0.673544i	0.981840	+	0.189712i	$0.0607554\pi$
$673$	71.7949	+	453.295i	0.106679	+	0.673544i	−0.875161	+	0.483832i	$0.839245\pi$
$674$		−	132.438i		−	0.196496i
$675$	−53.5711	+	118.343i	−0.0793645	+	0.175323i
$676$	48.8835			0.0723129
$677$	211.052	−	33.4274i	0.311747	−	0.0493758i	0.00139916	−	0.999999i	$-0.499555\pi$
$677$	211.052	−	33.4274i	0.311747	−	0.0493758i	0.310347	+	0.950623i	$0.399555\pi$
$678$	14.2108	−	27.8903i	0.0209599	−	0.0411361i
$679$	868.020	−	282.037i	1.27838	−	0.415371i
$680$	−162.761	+	1207.37i	−0.239355	+	1.77555i
$681$	−172.103	+	529.678i	−0.252721	+	0.777794i
$682$	290.773	−	290.773i	0.426354	−	0.426354i
$683$	−303.460	+	154.621i	−0.444304	+	0.226384i	−0.661805	−	0.749676i	$-0.730209\pi$
$683$	−303.460	+	154.621i	−0.444304	+	0.226384i	0.217501	+	0.976060i	$0.430209\pi$
$684$	−22.8721	−	31.4808i	−0.0334388	−	0.0460245i
$685$	−818.894	+	287.133i	−1.19547	+	0.419172i
$686$	−418.604	−	304.134i	−0.610210	−	0.443344i
$687$	21.5263	−	135.912i	0.0313338	−	0.197834i
$688$	347.486	+	55.0364i	0.505067	+	0.0799948i
$689$	132.300	−	182.095i	0.192017	−	0.264289i
$690$	−160.866	−	458.783i	−0.233138	−	0.664903i
$691$	−259.986	+	188.891i	−0.376246	+	0.273359i	−0.759796	−	0.650161i	$-0.774701\pi$
$691$	−259.986	+	188.891i	−0.376246	+	0.273359i	0.383550	+	0.923520i	$0.374701\pi$
$692$	92.0963	+	180.749i	0.133087	+	0.261198i
$693$	278.878	+	278.878i	0.402421	+	0.402421i
$694$	482.801	+	156.871i	0.695678	+	0.226040i
$695$	−844.770	−	113.880i	−1.21550	−	0.163856i
$696$	79.1075	+	243.468i	0.113660	+	0.349810i
$697$	185.736	+	94.6371i	0.266479	+	0.135778i
$698$	29.4795	+	186.126i	0.0422343	+	0.266657i
$699$			538.614i			0.770550i
$700$	−82.3899	−	144.768i	−0.117700	−	0.206811i
$701$	−1158.50			−1.65264			−0.826319	−	0.563203i	$-0.809569\pi$
$701$	−1158.50			−1.65264			−0.826319	+	0.563203i	$0.809569\pi$
$702$	−96.2709	+	15.2478i	−0.137138	+	0.0217205i
$703$	−431.837	+	847.528i	−0.614278	+	1.20559i
$704$	−1144.91	+	372.005i	−1.62630	+	0.528416i
$705$	324.425	+	155.979i	0.460177	+	0.221246i
$706$	89.3095	−	274.866i	0.126501	−	0.389329i
$707$	−186.639	+	186.639i	−0.263988	+	0.263988i
$708$	25.3298	−	12.9062i	0.0357765	−	0.0182291i
$709$	429.580	+	591.266i	0.605895	+	0.833943i	0.996232	−	0.0867289i	$-0.0276414\pi$
$709$	429.580	+	591.266i	0.605895	+	0.833943i	−0.390337	+	0.920672i	$0.627641\pi$
$710$	−420.123	+	607.243i	−0.591722	+	0.855272i
$711$	−147.882	−	107.443i	−0.207992	−	0.151115i
$712$	69.5950	−	439.405i	0.0977457	−	0.617142i
$713$	429.076	+	67.9590i	0.601790	+	0.0953141i
$714$	−397.167	+	546.653i	−0.556256	+	0.765620i
$715$	−256.674	+	856.760i	−0.358985	+	1.19827i
$716$	101.111	−	73.4613i	0.141216	−	0.102600i
$717$	181.464	+	356.143i	0.253088	+	0.496713i
$718$	327.506	+	327.506i	0.456137	+	0.456137i
$719$	560.322	+	182.060i	0.779307	+	0.253212i	0.671544	−	0.740964i	$-0.265631\pi$
$719$	560.322	+	182.060i	0.779307	+	0.253212i	0.107763	+	0.994177i	$0.465631\pi$
$720$	−31.8198	−	174.704i	−0.0441941	−	0.242644i
$721$	2.13897	+	6.58309i	0.00296668	+	0.00913050i
$722$	208.260	+	106.114i	0.288449	+	0.146972i
$723$	80.1837	+	506.260i	0.110904	+	0.700221i
$724$			119.839i			0.165524i
$725$	−113.631	+	413.801i	−0.156732	+	0.570760i
$726$	506.111			0.697122
$727$	37.8335	−	5.99224i	0.0520406	−	0.00824242i	−0.130360	−	0.991467i	$-0.541613\pi$
$727$	37.8335	−	5.99224i	0.0520406	−	0.00824242i	0.182400	+	0.983224i	$0.441613\pi$
$728$	321.630	−	631.234i	0.441800	−	0.867080i
$729$	25.6785	−	8.34346i	0.0352243	−	0.0114451i
$730$	−93.7652	+	98.1967i	−0.128445	+	0.134516i
$731$	−259.866	+	799.784i	−0.355493	+	1.09410i
$732$	−63.9873	+	63.9873i	−0.0874143	+	0.0874143i
$733$	378.628	−	192.920i	0.516545	−	0.263193i	−0.176227	−	0.984350i	$-0.556389\pi$
$733$	378.628	−	192.920i	0.516545	−	0.263193i	0.692772	+	0.721157i	$0.256389\pi$
$734$	−198.226	−	272.834i	−0.270062	−	0.371709i
$735$	−2.29219	−	99.2917i	−0.00311862	−	0.135091i
$736$	−344.657	−	250.408i	−0.468284	−	0.340229i
$737$	243.035	−	1534.46i	0.329763	−	2.08204i
$738$	−38.6985	−	6.12924i	−0.0524370	−	0.00830520i
$739$	−719.553	+	990.380i	−0.973685	+	1.34016i	−0.0335215	+	0.999438i	$0.510672\pi$
$739$	−719.553	+	990.380i	−0.973685	+	1.34016i	−0.940163	+	0.340724i	$0.889328\pi$
$740$	214.074	−	163.213i	0.289289	−	0.220558i
$741$	224.439	−	163.064i	0.302887	−	0.220060i
$742$	133.145	+	261.312i	0.179441	+	0.352173i
$743$	190.828	+	190.828i	0.256834	+	0.256834i	0.823765	−	0.566931i	$-0.191869\pi$
$743$	190.828	+	190.828i	0.256834	+	0.256834i	−0.566931	+	0.823765i	$0.691869\pi$
$744$	194.601	+	63.2298i	0.261561	+	0.0849863i
$745$	395.487	−	213.148i	0.530855	−	0.286104i
$746$	−268.262	−	825.625i	−0.359600	−	1.10674i
$747$	−150.263	−	76.5627i	−0.201155	−	0.102494i
$748$	−64.1235	−	404.860i	−0.0857267	−	0.541257i
$749$			174.697i			0.233241i
$750$	150.181	−	353.245i	0.200241	−	0.470993i
$751$	−998.065			−1.32898			−0.664491	−	0.747297i	$-0.731351\pi$
$751$	−998.065			−1.32898			−0.664491	+	0.747297i	$0.731351\pi$
$752$	−486.023	+	76.9785i	−0.646307	+	0.102365i
$753$	309.145	−	606.732i	0.410552	−	0.805753i
$754$	−306.222	+	99.4977i	−0.406131	+	0.131960i
$755$	−188.851	−	350.406i	−0.250134	−	0.464114i
$756$	−10.6985	+	32.9266i	−0.0141515	+	0.0435538i
$757$	−679.759	+	679.759i	−0.897964	+	0.897964i	−0.995256	−	0.0972922i	$-0.968982\pi$
$757$	−679.759	+	679.759i	−0.897964	+	0.897964i	0.0972922	+	0.995256i	$0.468982\pi$
$758$	601.035	−	306.242i	0.792922	−	0.404014i
$759$	544.999	+	750.126i	0.718048	+	0.988308i
$760$	395.153	+	518.291i	0.519938	+	0.681962i
$761$	396.797	+	288.290i	0.521416	+	0.378831i	0.817137	−	0.576444i	$-0.195560\pi$
$761$	396.797	+	288.290i	0.521416	+	0.378831i	−0.295721	+	0.955274i	$0.595560\pi$
$762$	−7.18227	+	45.3471i	−0.00942556	+	0.0595106i
$763$	−1414.53	−	224.039i	−1.85390	−	0.293629i
$764$	−5.33446	+	7.34225i	−0.00698227	+	0.00961027i
$765$	424.347	−	9.79623i	0.554702	−	0.0128055i
$766$	919.143	−	667.797i	1.19993	−	0.871797i
$767$	92.0133	+	180.586i	0.119965	+	0.235445i
$768$	−191.580	−	191.580i	−0.249453	−	0.249453i
$769$	−327.155	−	106.299i	−0.425429	−	0.138230i	0.0884743	−	0.996078i	$-0.471801\pi$
$769$	−327.155	−	106.299i	−0.425429	−	0.138230i	−0.513903	+	0.857848i	$0.671801\pi$
$770$	−842.835	−	804.799i	−1.09459	−	1.04519i
$771$	117.723	+	362.316i	0.152689	+	0.469929i
$772$	45.1259	+	22.9928i	0.0584533	+	0.0297834i
$773$	−142.998	−	902.856i	−0.184991	−	1.16799i	−0.889037	−	0.457835i	$-0.848625\pi$
$773$	−142.998	−	902.856i	−0.184991	−	1.16799i	0.704046	−	0.710155i	$-0.251375\pi$
$774$		−	158.061i		−	0.204214i
$775$	214.195	+	267.886i	0.276381	+	0.345660i
$776$	1010.64			1.30237
$777$	835.885	−	132.391i	1.07579	−	0.170388i
$778$	−276.924	+	543.494i	−0.355943	+	0.698578i
$779$	106.059	−	34.4605i	0.136147	−	0.0442369i
$780$	−77.2411	+	14.0684i	−0.0990271	+	0.0180364i
$781$	435.180	−	1339.35i	0.557209	−	1.71491i
$782$	−1123.28	+	1123.28i	−1.43642	+	1.43642i
$783$	79.4695	−	40.4917i	0.101494	−	0.0517136i
$784$	79.8020	+	109.838i	0.101788	+	0.140100i
$785$	−619.063	−	185.463i	−0.788615	−	0.236259i
$786$	330.964	+	240.459i	0.421073	+	0.305928i
$787$	−65.4705	+	413.365i	−0.0831900	+	0.525241i	0.910539	+	0.413424i	$0.135667\pi$
$787$	−65.4705	+	413.365i	−0.0831900	+	0.525241i	−0.993729	+	0.111817i	$0.964333\pi$
$788$	−164.277	−	26.0190i	−0.208474	−	0.0330190i
$789$	299.526	−	412.262i	0.379627	−	0.522512i
$790$	444.178	+	307.306i	0.562250	+	0.388994i
$791$	64.1283	−	46.5919i	0.0810724	−	0.0589025i
$792$	198.266	+	389.119i	0.250336	+	0.491312i
$793$	−456.191	−	456.191i	−0.575273	−	0.575273i
$794$	1111.14	+	361.030i	1.39942	+	0.454698i
$795$	79.8282	−	166.037i	0.100413	−	0.208852i
$796$	−70.7396	−	217.714i	−0.0888689	−	0.273510i
$797$	−279.696	−	142.512i	−0.350936	−	0.178811i	0.269632	−	0.962963i	$-0.413098\pi$
$797$	−279.696	−	142.512i	−0.350936	−	0.178811i	−0.620568	+	0.784153i	$0.713098\pi$
$798$	56.5473	+	357.025i	0.0708612	+	0.447400i
$799$		−	1176.21i		−	1.47211i
$800$	−67.8918	−	329.432i	−0.0848648	−	0.411790i
$801$	−154.999			−0.193507
$802$	596.395	−	94.4598i	0.743635	−	0.117780i
$803$	117.558	−	230.721i	0.146399	−	0.287323i
$804$	129.705	−	42.1436i	0.161324	−	0.0524174i
$805$	164.477	−	1220.10i	0.204319	−	1.51565i
$806$	−79.5275	+	244.761i	−0.0986694	+	0.303673i
$807$	−557.437	+	557.437i	−0.690753	+	0.690753i
$808$	−260.419	+	132.690i	−0.322300	+	0.164220i
$809$	323.552	+	445.332i	0.399941	+	0.550472i	0.960729	−	0.277488i	$-0.0895018\pi$
$809$	323.552	+	445.332i	0.399941	+	0.550472i	−0.560788	+	0.827959i	$0.689502\pi$
$810$	−75.2865	+	26.3981i	−0.0929463	+	0.0325902i
$811$	705.348	+	512.465i	0.869726	+	0.631893i	0.930513	−	0.366258i	$-0.119361\pi$
$811$	705.348	+	512.465i	0.869726	+	0.631893i	−0.0607874	+	0.998151i	$0.519361\pi$
$812$	−17.8908	+	112.958i	−0.0220330	+	0.139111i
$813$	27.7332	+	4.39251i	0.0341122	+	0.00540284i
$814$	1107.00	−	1523.66i	1.35995	−	1.87182i
$815$	−161.143	−	459.574i	−0.197721	−	0.563894i
$816$	−469.420	+	341.053i	−0.575269	+	0.417958i
$817$	204.239	+	400.841i	0.249986	+	0.490626i
$818$	−731.984	−	731.984i	−0.894846	−	0.894846i
$819$	−234.747	−	76.2740i	−0.286627	−	0.0931307i
$820$	−31.2769	−	4.21632i	−0.0381425	−	0.00514185i
$821$	−274.658	−	845.311i	−0.334541	−	1.02961i	−0.966948	−	0.254975i	$-0.917933\pi$
$821$	−274.658	−	845.311i	−0.334541	−	1.02961i	0.632407	−	0.774637i	$-0.282067\pi$
$822$	−474.856	−	241.951i	−0.577684	−	0.294345i
$823$	−157.199	−	992.513i	−0.191007	−	1.20597i	−0.877768	−	0.479086i	$-0.840968\pi$
$823$	−157.199	−	992.513i	−0.191007	−	1.20597i	0.686761	−	0.726883i	$-0.259032\pi$
$824$			7.66472i			0.00930185i
$825$	−81.0311	+	727.558i	−0.0982195	+	0.881888i
$826$	−264.084			−0.319714
$827$	163.413	−	25.8820i	0.197597	−	0.0312963i	−0.0568514	−	0.998383i	$-0.518106\pi$
$827$	163.413	−	25.8820i	0.197597	−	0.0312963i	0.254448	+	0.967086i	$0.418106\pi$
$828$	−36.9518	+	72.5220i	−0.0446278	+	0.0875870i
$829$	1240.57	−	403.084i	1.49646	−	0.486230i	0.557477	−	0.830192i	$-0.311769\pi$
$829$	1240.57	−	403.084i	1.49646	−	0.486230i	0.938983	+	0.343963i	$0.111769\pi$
$830$	449.104	+	215.922i	0.541089	+	0.260148i
$831$	181.588	−	558.870i	0.218517	−	0.672527i
$832$	532.742	−	532.742i	0.640315	−	0.640315i
$833$	−289.151	+	147.330i	−0.347120	+	0.176867i
$834$	−307.711	−	423.527i	−0.368957	−	0.507826i
$835$	−323.481	+	467.558i	−0.387403	+	0.559950i
$836$	−177.406	−	128.893i	−0.212208	−	0.154178i
$837$	11.1521	−	70.4116i	0.0133239	−	0.0841237i
$838$	−186.093	−	29.4742i	−0.222068	−	0.0351721i
$839$	−782.334	+	1076.79i	−0.932460	+	1.28342i	0.0264328	+	0.999651i	$0.491585\pi$
$839$	−782.334	+	1076.79i	−0.932460	+	1.28342i	−0.958892	+	0.283770i	$0.908415\pi$
$840$	166.414	−	555.479i	0.198112	−	0.661284i
$841$	−442.024	+	321.149i	−0.525593	+	0.381865i
$842$	−476.409	−	935.005i	−0.565806	−	1.11046i
$843$	−248.304	−	248.304i	−0.294548	−	0.294548i
$844$	218.551	+	71.0116i	0.258947	+	0.0841370i
$845$	51.1147	+	280.640i	0.0604907	+	0.332119i
$846$	68.3168	+	210.257i	0.0807527	+	0.248531i
$847$	1141.95	+	581.851i	1.34823	+	0.686955i
$848$	39.3968	+	248.742i	0.0464585	+	0.293327i
$849$		−	182.767i		−	0.215273i
$850$	−1252.87	+	57.8770i	−1.47397	+	0.0680905i
$851$	1989.64			2.33800
$852$	122.101	−	19.3389i	0.143311	−	0.0226982i
$853$	−3.52881	+	6.92569i	−0.00413694	+	0.00811921i	−0.893066	−	0.449926i	$-0.851450\pi$
$853$	−3.52881	+	6.92569i	−0.00413694	+	0.00811921i	0.888929	+	0.458045i	$0.151450\pi$
$854$	799.478	−	259.766i	0.936157	−	0.304176i
$855$	156.815	−	164.227i	0.183410	−	0.192078i
$856$	−59.7781	+	183.978i	−0.0698342	+	0.214928i
$857$	114.066	−	114.066i	0.133100	−	0.133100i	−0.637418	−	0.770518i	$-0.719998\pi$
$857$	114.066	−	114.066i	0.133100	−	0.133100i	0.770518	+	0.637418i	$0.219998\pi$
$858$	−489.416	+	249.370i	−0.570415	+	0.290641i
$859$	−847.782	−	1166.87i	−0.986941	−	1.35841i	−0.933005	−	0.359863i	$-0.882823\pi$
$859$	−847.782	−	1166.87i	−0.986941	−	1.35841i	−0.0539361	−	0.998544i	$-0.517177\pi$
$860$	−2.93838	−	127.283i	−0.00341672	−	0.148003i
$861$	−80.2696	−	58.3192i	−0.0932283	−	0.0677343i
$862$	−102.333	+	646.108i	−0.118716	+	0.749546i
$863$	754.631	+	119.522i	0.874427	+	0.138496i	0.577486	−	0.816400i	$-0.304034\pi$
$863$	754.631	+	119.522i	0.874427	+	0.138496i	0.296941	+	0.954896i	$0.404034\pi$
$864$	−41.0921	+	56.5584i	−0.0475603	+	0.0654611i
$865$	−941.382	+	717.724i	−1.08830	+	0.829739i
$866$	−813.701	+	591.188i	−0.939608	+	0.682665i
$867$	−402.399	−	789.753i	−0.464128	−	0.910903i
$868$	64.6378	+	64.6378i	0.0744675	+	0.0744675i
$869$	−979.687	−	318.319i	−1.12737	−	0.366306i
$870$	−231.995	+	125.034i	−0.266661	+	0.143717i
$871$	300.459	+	924.717i	0.344958	+	1.06167i
$872$	−1413.01	−	719.965i	−1.62043	−	0.825648i
$873$	−55.0825	−	347.777i	−0.0630956	−	0.398370i
$874$			849.820i			0.972334i
$875$	744.964	−	624.376i	0.851387	−	0.713573i
$876$	22.7310			0.0259486
$877$	71.0186	−	11.2482i	0.0809790	−	0.0128258i	−0.115813	−	0.993271i	$-0.536947\pi$
$877$	71.0186	−	11.2482i	0.0809790	−	0.0128258i	0.196792	+	0.980445i	$0.436947\pi$
$878$	−331.051	+	649.724i	−0.377051	+	0.740004i
$879$	−522.449	+	169.754i	−0.594368	+	0.193122i
$880$	−474.773	−	880.922i	−0.539515	−	1.00105i
$881$	−74.5995	+	229.594i	−0.0846759	+	0.260606i	−0.984426	−	0.175800i	$-0.943749\pi$
$881$	−74.5995	+	229.594i	−0.0846759	+	0.260606i	0.899750	+	0.436406i	$0.143749\pi$
$882$	43.1309	−	43.1309i	0.0489012	−	0.0489012i
$883$	−183.348	+	93.4203i	−0.207642	+	0.105799i	−0.554719	−	0.832038i	$-0.687174\pi$
$883$	−183.348	+	93.4203i	−0.207642	+	0.105799i	0.347077	+	0.937837i	$0.387174\pi$
$884$	150.789	+	207.543i	0.170576	+	0.234777i
$885$	100.580	+	131.923i	0.113650	+	0.149066i
$886$	871.696	+	633.325i	0.983856	+	0.714813i
$887$	−216.739	+	1368.44i	−0.244350	+	1.54277i	0.494667	+	0.869082i	$0.335290\pi$
$887$	−216.739	+	1368.44i	−0.244350	+	1.54277i	−0.739018	+	0.673686i	$0.764710\pi$
$888$	925.592	+	146.599i	1.04233	+	0.165089i
$889$	−68.3388	+	94.0603i	−0.0768716	+	0.105805i
$890$	457.875	−	10.5702i	0.514466	−	0.0118766i
$891$	123.096	−	89.4345i	0.138155	−	0.100375i
$892$	−52.4338	−	102.907i	−0.0587823	−	0.115367i
$893$	−444.934	−	444.934i	−0.498247	−	0.498247i
$894$	262.414	+	85.2633i	0.293528	+	0.0953729i
$895$	527.467	+	503.663i	0.589349	+	0.562752i
$896$	174.036	+	535.629i	0.194237	+	0.597800i
$897$	−517.039	−	263.444i	−0.576409	−	0.293695i
$898$	61.4374	+	387.900i	0.0684158	+	0.431960i
$899$		−	235.494i		−	0.261951i
$900$	−60.1357	+	22.6573i	−0.0668174	+	0.0251748i
$901$	−601.973			−0.668117
$902$	−218.080	+	34.5405i	−0.241774	+	0.0382933i
$903$	181.715	−	356.637i	0.201235	−	0.394946i
$904$	83.4778	−	27.1236i	0.0923427	−	0.0300040i
$905$	−687.999	+	125.309i	−0.760220	+	0.138463i
$906$	75.5443	−	232.502i	0.0833823	−	0.256624i
$907$	895.978	−	895.978i	0.987848	−	0.987848i	−0.0120791	−	0.999927i	$-0.503845\pi$
$907$	895.978	−	895.978i	0.987848	−	0.987848i	0.999927	+	0.0120791i	$0.00384500\pi$
$908$	−245.483	+	125.080i	−0.270356	+	0.137753i
$909$	59.8542	+	82.3822i	0.0658462	+	0.0906295i
$910$	698.655	+	209.308i	0.767753	+	0.230009i
$911$	−765.710	−	556.321i	−0.840515	−	0.610670i	0.0819992	−	0.996632i	$-0.473870\pi$
$911$	−765.710	−	556.321i	−0.840515	−	0.610670i	−0.922515	+	0.385962i	$0.873870\pi$
$912$	−48.5580	+	306.583i	−0.0532435	+	0.336166i
$913$	−938.670	−	148.671i	−1.02812	−	0.162838i
$914$	865.970	−	1191.91i	0.947451	−	1.30405i
$915$	−434.259	−	300.444i	−0.474600	−	0.328354i
$916$	55.0718	−	40.0120i	0.0601221	−	0.0436812i
$917$	470.315	+	923.045i	0.512884	+	1.00659i
$918$	184.330	+	184.330i	0.200795	+	0.200795i
$919$	−14.5106	−	4.71478i	−0.0157896	−	0.00513034i	0.301112	−	0.953589i	$-0.402642\pi$
$919$	−14.5106	−	4.71478i	−0.0157896	−	0.00513034i	−0.316901	+	0.948459i	$0.602642\pi$
$920$	590.709	−	1228.64i	0.642075	−	1.33547i
$921$	255.231	+	785.521i	0.277124	+	0.852900i
$922$	992.140	+	505.521i	1.07607	+	0.548287i
$923$	137.875	+	870.506i	0.149377	+	0.943127i
$924$			195.103i			0.211150i
$925$	1160.85	+	1058.34i	1.25498	+	1.14415i
$926$	451.513			0.487595
$927$	2.63755	−	0.417747i	0.00284525	−	0.000450644i
$928$	−104.844	+	205.767i	−0.112978	+	0.221732i
$929$	309.720	−	100.634i	0.333391	−	0.108325i	−0.137538	−	0.990497i	$-0.543919\pi$
$929$	309.720	−	100.634i	0.333391	−	0.108325i	0.470929	+	0.882171i	$0.343919\pi$
$930$	−28.1420	+	208.759i	−0.0302603	+	0.224472i
$931$	−53.6477	+	165.111i	−0.0576238	+	0.177348i
$932$	−188.407	+	188.407i	−0.202154	+	0.202154i
$933$	−642.836	+	327.542i	−0.688999	+	0.351063i
$934$	−214.282	−	294.934i	−0.229424	−	0.315775i
$935$	2257.25	−	791.473i	2.41418	−	0.846495i
$936$	−221.118	−	160.652i	−0.236238	−	0.171637i
$937$	71.6757	−	452.543i	0.0764949	−	0.482970i	−0.919465	−	0.393172i	$-0.871378\pi$
$937$	71.6757	−	452.543i	0.0764949	−	0.482970i	0.995960	−	0.0897982i	$-0.0286222\pi$
$938$	−1251.30	−	198.186i	−1.33401	−	0.211286i
$939$	−261.943	+	360.533i	−0.278959	+	0.383954i
$940$	58.9226	+	168.045i	0.0626836	+	0.178772i
$941$	−3.72801	+	2.70856i	−0.00396175	+	0.00287838i	−0.589764	−	0.807575i	$-0.700779\pi$
$941$	−3.72801	+	2.70856i	−0.00396175	+	0.00287838i	0.585803	+	0.810454i	$0.300779\pi$
$942$	−180.186	−	353.634i	−0.191280	−	0.375408i
$943$	−164.940	−	164.940i	−0.174910	−	0.174910i
$944$	−215.674	−	70.0768i	−0.228468	−	0.0742339i
$945$	−200.219	−	26.9907i	−0.211872	−	0.0285616i
$946$	−275.252	−	847.139i	−0.290964	−	0.895495i
$947$	1556.91	+	793.286i	1.64405	+	0.837684i	0.997177	+	0.0750830i	$0.0239222\pi$
$947$	1556.91	+	793.286i	1.64405	+	0.837684i	0.646870	+	0.762601i	$0.276078\pi$
$948$	−14.1457	−	89.3127i	−0.0149217	−	0.0942117i
$949$			162.058i			0.170767i
$950$	−452.039	+	495.826i	−0.475831	+	0.521923i
$951$	−72.5351			−0.0762725
$952$	−1871.40	+	296.400i	−1.96576	+	0.311345i
$953$	−50.1700	+	98.4642i	−0.0526443	+	0.103320i	−0.915830	−	0.401567i	$-0.868466\pi$
$953$	−50.1700	+	98.4642i	−0.0526443	+	0.103320i	0.863186	+	0.504887i	$0.168466\pi$
$954$	107.608	−	34.9638i	0.112796	−	0.0366497i
$955$	−47.7298	−	22.9478i	−0.0499789	−	0.0240291i
$956$	−61.1028	+	188.055i	−0.0639150	+	0.196710i
$957$	355.408	−	355.408i	0.371377	−	0.371377i
$958$	−91.5789	+	46.6618i	−0.0955938	+	0.0487075i
$959$	−793.267	−	1091.84i	−0.827182	−	1.13852i
$960$	350.859	−	507.130i	0.365478	−	0.528260i
$961$	625.186	+	454.224i	0.650557	+	0.472658i
$962$	−184.386	+	1164.17i	−0.191669	+	1.21015i
$963$	66.5677	+	10.5433i	0.0691254	+	0.0109484i
$964$	−149.042	+	205.138i	−0.154607	+	0.212799i
$965$	−84.8162	+	283.110i	−0.0878925	+	0.293379i
$966$	611.699	−	444.426i	0.633229	−	0.460068i
$967$	−67.6665	−	132.803i	−0.0699756	−	0.137335i	0.853369	−	0.521308i	$-0.174556\pi$
$967$	−67.6665	−	132.803i	−0.0699756	−	0.137335i	−0.923344	+	0.383973i	$0.874556\pi$
$968$	1003.51	+	1003.51i	1.03669	+	1.03669i
$969$	−705.641	−	229.277i	−0.728215	−	0.236612i
$970$	186.433	+	1023.59i	0.192199	+	1.05525i
$971$	268.895	+	827.572i	0.276925	+	0.852289i	0.988704	+	0.149884i	$0.0478901\pi$
$971$	268.895	+	827.572i	0.276925	+	0.852289i	−0.711778	+	0.702404i	$0.752110\pi$
$972$	11.9009	+	6.06381i	0.0122437	+	0.00623848i
$973$	−207.384	−	1309.37i	−0.213139	−	1.34571i
$974$		−	346.236i		−	0.355478i
$975$	−161.533	−	428.731i	−0.165675	−	0.439724i
$976$	721.855			0.739605
$977$	−150.309	+	23.8067i	−0.153848	+	0.0243671i	−0.232883	−	0.972505i	$-0.574816\pi$
$977$	−150.309	+	23.8067i	−0.153848	+	0.0243671i	0.0790354	+	0.996872i	$0.474816\pi$
$978$	135.786	−	266.495i	0.138841	−	0.272490i
$979$	−830.727	+	269.920i	−0.848547	+	0.275710i
$980$	33.9304	−	35.5341i	0.0346229	−	0.0362592i
$981$	−170.738	+	525.479i	−0.174045	+	0.535657i
$982$	−1090.94	+	1090.94i	−1.11093	+	1.11093i
$983$	−157.268	+	80.1323i	−0.159988	+	0.0815181i	−0.532151	−	0.846649i	$-0.678616\pi$
$983$	−157.268	+	80.1323i	−0.159988	+	0.0815181i	0.372163	+	0.928167i	$0.378616\pi$
$984$	−64.5781	−	88.8841i	−0.0656281	−	0.0903293i
$985$	−22.4003	−	970.323i	−0.0227414	−	0.985099i
$986$	696.667	+	506.158i	0.706558	+	0.513345i
$987$	−87.5784	+	552.948i	−0.0887319	+	0.560231i
$988$	135.549	+	21.4688i	0.137195	+	0.0217296i
$989$	553.110	−	761.291i	0.559262	−	0.769758i
$990$	−357.532	+	272.588i	−0.361143	+	0.275341i
$991$	−540.720	+	392.856i	−0.545631	+	0.396424i	−0.826172	−	0.563418i	$-0.809486\pi$
$991$	−540.720	+	392.856i	−0.545631	+	0.396424i	0.280541	+	0.959842i	$0.409486\pi$
$992$	83.8005	+	164.468i	0.0844763	+	0.165794i
$993$	−583.735	−	583.735i	−0.587850	−	0.587850i
$994$	−1092.19	−	354.873i	−1.09878	−	0.357015i
$995$	1175.93	−	633.768i	1.18184	−	0.636953i
$996$	−25.7803	−	79.3436i	−0.0258838	−	0.0796622i
$997$	−708.995	−	361.251i	−0.711128	−	0.362338i	0.0607112	−	0.998155i	$-0.480663\pi$
$997$	−708.995	−	361.251i	−0.711128	−	0.362338i	−0.771840	+	0.635817i	$0.780663\pi$
$998$	195.968	+	1237.29i	0.196361	+	1.23977i
$999$		−	326.501i		−	0.326828i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	75.3.k.a.13.3	✓	80
3.2	odd	2		225.3.r.b.163.8		80
5.2	odd	4		375.3.k.c.82.3		80
5.3	odd	4		375.3.k.b.82.8		80
5.4	even	2		375.3.k.a.43.8		80
25.2	odd	20	inner	75.3.k.a.52.3	yes	80
25.11	even	5		375.3.k.c.343.3		80
25.14	even	10		375.3.k.b.343.8		80
25.23	odd	20		375.3.k.a.157.8		80
75.2	even	20		225.3.r.b.127.8		80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
75.3.k.a.13.3	✓	80	1.1	even	1	trivial
75.3.k.a.52.3	yes	80	25.2	odd	20	inner
225.3.r.b.127.8		80	75.2	even	20
225.3.r.b.163.8		80	3.2	odd	2
375.3.k.a.43.8		80	5.4	even	2
375.3.k.a.157.8		80	25.23	odd	20
375.3.k.b.82.8		80	5.3	odd	4
375.3.k.b.343.8		80	25.14	even	10
375.3.k.c.82.3		80	5.2	odd	4
375.3.k.c.343.3		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)

\(f(q)\)	\(=\)	\(q+(-1.75107 + 0.277342i) q^{2} +(-0.786335 + 1.54327i) q^{3} +(-0.814895 + 0.264776i) q^{4} +(-2.37217 - 4.40146i) q^{5} +(0.948914 - 2.92046i) q^{6} +(5.49856 - 5.49856i) q^{7} +(7.67216 - 3.90916i) q^{8} +(-1.76336 - 2.42705i) q^{9} +O(q^{10})\)	\(q+(-1.75107 + 0.277342i) q^{2} +(-0.786335 + 1.54327i) q^{3} +(-0.814895 + 0.264776i) q^{4} +(-2.37217 - 4.40146i) q^{5} +(0.948914 - 2.92046i) q^{6} +(5.49856 - 5.49856i) q^{7} +(7.67216 - 3.90916i) q^{8} +(-1.76336 - 2.42705i) q^{9} +(5.37454 + 7.04936i) q^{10} +(-13.6773 - 9.93716i) q^{11} +(0.232161 - 1.46580i) q^{12} +(10.4503 + 1.65517i) q^{13} +(-8.10338 + 11.1533i) q^{14} +(8.65795 - 0.199872i) q^{15} +(-9.57756 + 6.95850i) q^{16} +(-12.8467 - 25.2131i) q^{17} +(3.76089 + 3.76089i) q^{18} +(-14.3972 - 4.67792i) q^{19} +(3.09847 + 2.95863i) q^{20} +(4.16205 + 12.8095i) q^{21} +(26.7060 + 13.6074i) q^{22} +(4.95341 + 31.2746i) q^{23} +14.9141i q^{24} +(-13.7457 + 20.8820i) q^{25} -18.7583 q^{26} +(5.13218 - 0.812857i) q^{27} +(-3.02487 + 5.93663i) q^{28} +(16.3247 - 5.30420i) q^{29} +(-15.1052 + 2.75121i) q^{30} +(4.23960 - 13.0481i) q^{31} +(-9.51355 + 9.51355i) q^{32} +(26.0907 - 13.2939i) q^{33} +(29.4882 + 40.5870i) q^{34} +(-37.2452 - 11.1582i) q^{35} +(2.07957 + 1.51090i) q^{36} +(9.82958 - 62.0615i) q^{37} +(26.5079 + 4.19843i) q^{38} +(-10.7718 + 14.8261i) q^{39} +(-35.4057 - 24.4955i) q^{40} +(-5.95973 + 4.33000i) q^{41} +(-10.8406 - 21.2760i) q^{42} +(-21.0138 - 21.0138i) q^{43} +(13.7767 + 4.47633i) q^{44} +(-6.49959 + 13.5187i) q^{45} +(-17.3476 - 53.3903i) q^{46} +(37.0357 + 18.8706i) q^{47} +(-3.20767 - 20.2525i) q^{48} -11.4683i q^{49} +(18.2782 - 40.3781i) q^{50} +49.0125 q^{51} +(-8.95415 + 1.41820i) q^{52} +(9.65780 - 18.9545i) q^{53} +(-8.76137 + 2.84674i) q^{54} +(-11.2931 + 83.7728i) q^{55} +(20.6911 - 63.6806i) q^{56} +(18.5403 - 18.5403i) q^{57} +(-27.1145 + 13.8156i) q^{58} +(11.2593 + 15.4972i) q^{59} +(-7.00240 + 2.45529i) q^{60} +(-49.3299 - 35.8403i) q^{61} +(-3.80503 + 24.0240i) q^{62} +(-23.0412 - 3.64937i) q^{63} +(41.8544 - 57.6076i) q^{64} +(-17.5047 - 49.9229i) q^{65} +(-41.9997 + 30.5145i) q^{66} +(41.7196 + 81.8793i) q^{67} +(17.1446 + 17.1446i) q^{68} +(-52.1602 - 16.9479i) q^{69} +(68.3136 + 9.20909i) q^{70} +(25.7410 + 79.2226i) q^{71} +(-23.0165 - 11.7275i) q^{72} +(2.39604 + 15.1280i) q^{73} +111.400i q^{74} +(-21.4178 - 37.6335i) q^{75} +12.9708 q^{76} +(-129.846 + 20.5655i) q^{77} +(14.7503 - 28.9491i) q^{78} +(57.9487 - 18.8287i) q^{79} +(53.3471 + 25.6485i) q^{80} +(-2.78115 + 8.55951i) q^{81} +(9.23502 - 9.23502i) q^{82} +(50.0876 - 25.5209i) q^{83} +(-6.78326 - 9.33636i) q^{84} +(-80.4999 + 116.354i) q^{85} +(42.6248 + 30.9687i) q^{86} +(-4.65083 + 29.3642i) q^{87} +(-143.781 - 22.7726i) q^{88} +(30.3688 - 41.7990i) q^{89} +(7.63193 - 25.4748i) q^{90} +(66.5627 - 48.3606i) q^{91} +(-12.3173 - 24.1740i) q^{92} +(16.8030 + 16.8030i) q^{93} +(-70.0858 - 22.7723i) q^{94} +(13.5628 + 74.4654i) q^{95} +(-7.20113 - 22.1628i) q^{96} +(104.578 + 53.2852i) q^{97} +(3.18064 + 20.0818i) q^{98} +50.7183i 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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