LMFDB - Embedded newform 75.3.k.a.37.4

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			37.4
Character	$\chi$	$=$	75.37
Dual form			75.3.k.a.73.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.202100 - 1.27601i) q^{2} +(1.54327 + 0.786335i) q^{3} +(2.21687 - 0.720305i) q^{4} +(1.23939 + 4.84396i) q^{5} +(0.691476 - 2.12814i) q^{6} +(1.27981 + 1.27981i) q^{7} +(-3.71321 - 7.28759i) q^{8} +(1.76336 + 2.42705i) q^{9} +O(q^{10})$	\(q+(-0.202100 - 1.27601i) q^{2} +(1.54327 + 0.786335i) q^{3} +(2.21687 - 0.720305i) q^{4} +(1.23939 + 4.84396i) q^{5} +(0.691476 - 2.12814i) q^{6} +(1.27981 + 1.27981i) q^{7} +(-3.71321 - 7.28759i) q^{8} +(1.76336 + 2.42705i) q^{9} +(5.93045 - 2.56044i) q^{10} +(-2.26637 - 1.64661i) q^{11} +(3.98763 + 0.631578i) q^{12} +(2.80131 - 17.6867i) q^{13} +(1.37440 - 1.89170i) q^{14} +(-1.89625 + 8.45010i) q^{15} +(-1.00546 + 0.730511i) q^{16} +(-24.2628 + 12.3625i) q^{17} +(2.74057 - 2.74057i) q^{18} +(8.64024 + 2.80738i) q^{19} +(6.23670 + 9.84568i) q^{20} +(0.968731 + 2.98145i) q^{21} +(-1.64306 + 3.22469i) q^{22} +(-24.8036 + 3.92850i) q^{23} -14.1665i q^{24} +(-21.9278 + 12.0071i) q^{25} -23.1346 q^{26} +(0.812857 + 5.13218i) q^{27} +(3.75903 + 1.91532i) q^{28} +(27.5633 - 8.95587i) q^{29} +(11.1656 + 0.711870i) q^{30} +(-14.3903 + 44.2887i) q^{31} +(-21.9985 - 21.9985i) q^{32} +(-2.20283 - 4.32329i) q^{33} +(20.6782 + 28.4611i) q^{34} +(-4.61315 + 7.78553i) q^{35} +(5.65735 + 4.11030i) q^{36} +(-31.3477 - 4.96498i) q^{37} +(1.83606 - 11.5924i) q^{38} +(18.2309 - 25.0926i) q^{39} +(30.6986 - 27.0188i) q^{40} +(11.2150 - 8.14820i) q^{41} +(3.60858 - 1.83866i) q^{42} +(27.8178 - 27.8178i) q^{43} +(-6.21031 - 2.01785i) q^{44} +(-9.57103 + 11.5497i) q^{45} +(10.0256 + 30.8556i) q^{46} +(18.8125 - 36.9215i) q^{47} +(-2.12612 + 0.336745i) q^{48} -45.7242i q^{49} +(19.7528 + 25.5534i) q^{50} -47.1651 q^{51} +(-6.52972 - 41.2270i) q^{52} +(28.1946 + 14.3659i) q^{53} +(6.38443 - 2.07443i) q^{54} +(5.16720 - 13.0190i) q^{55} +(4.57452 - 14.0789i) q^{56} +(11.1267 + 11.1267i) q^{57} +(-16.9983 - 33.3611i) q^{58} +(18.6844 + 25.7169i) q^{59} +(1.88290 + 20.0987i) q^{60} +(36.7017 + 26.6654i) q^{61} +(59.4210 + 9.41137i) q^{62} +(-0.849404 + 5.36292i) q^{63} +(-26.5465 + 36.5381i) q^{64} +(89.1457 - 8.35144i) q^{65} +(-5.07137 + 3.68456i) q^{66} +(-86.9965 + 44.3269i) q^{67} +(-44.8827 + 44.8827i) q^{68} +(-41.3677 - 13.4412i) q^{69} +(10.8667 + 4.31297i) q^{70} +(-1.13108 - 3.48112i) q^{71} +(11.1396 - 21.8628i) q^{72} +(76.0348 - 12.0427i) q^{73} +41.0033i q^{74} +(-43.2821 + 1.28764i) q^{75} +21.1765 q^{76} +(-0.793169 - 5.00787i) q^{77} +(-35.7029 - 18.1915i) q^{78} +(-133.301 + 43.3122i) q^{79} +(-4.78473 - 3.96502i) q^{80} +(-2.78115 + 8.55951i) q^{81} +(-12.6637 - 12.6637i) q^{82} +(9.52910 + 18.7019i) q^{83} +(4.29510 + 5.91170i) q^{84} +(-89.9546 - 102.206i) q^{85} +(-41.1177 - 29.8738i) q^{86} +(49.5799 + 7.85269i) q^{87} +(-3.58433 + 22.6306i) q^{88} +(98.0657 - 134.976i) q^{89} +(16.6718 + 9.87854i) q^{90} +(26.2208 - 19.0505i) q^{91} +(-52.1566 + 26.5751i) q^{92} +(-57.0338 + 57.0338i) q^{93} +(-50.9142 - 16.5430i) q^{94} +(-2.89019 + 45.3324i) q^{95} +(-16.6514 - 51.2478i) q^{96} +(16.0242 - 31.4493i) q^{97} +(-58.3445 + 9.24086i) q^{98} -8.40416i 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 $

$2$	−0.202100	−	1.27601i	−0.101050	−	0.638005i	−0.985279	−	0.170952i	$-0.945316\pi$
$2$	−0.202100	−	1.27601i	−0.101050	−	0.638005i	0.884229	−	0.467053i	$-0.154684\pi$
$3$	1.54327	+	0.786335i	0.514423	+	0.262112i
$3$	1.54327	+	0.786335i	0.514423	+	0.262112i
$4$	2.21687	−	0.720305i	0.554218	−	0.180076i
$5$	1.23939	+	4.84396i	0.247879	+	0.968791i
$5$	1.23939	+	4.84396i	0.247879	+	0.968791i
$6$	0.691476	−	2.12814i	0.115246	−	0.354691i
$7$	1.27981	+	1.27981i	0.182830	+	0.182830i	0.792588	−	0.609758i	$-0.208733\pi$
$7$	1.27981	+	1.27981i	0.182830	+	0.182830i	−0.609758	+	0.792588i	$0.708733\pi$
$8$	−3.71321	−	7.28759i	−0.464152	−	0.910949i
$9$	1.76336	+	2.42705i	0.195928	+	0.269672i
$10$	5.93045	−	2.56044i	0.593045	−	0.256044i
$11$	−2.26637	−	1.64661i	−0.206033	−	0.149692i	0.479984	−	0.877277i	$-0.340643\pi$
$11$	−2.26637	−	1.64661i	−0.206033	−	0.149692i	−0.686017	+	0.727585i	$0.740643\pi$
$12$	3.98763	+	0.631578i	0.332302	+	0.0526315i
$13$	2.80131	−	17.6867i	0.215485	−	1.36052i	−0.608341	−	0.793676i	$-0.708165\pi$
$13$	2.80131	−	17.6867i	0.215485	−	1.36052i	0.823826	−	0.566843i	$-0.191835\pi$
$14$	1.37440	−	1.89170i	0.0981714	−	0.135121i
$15$	−1.89625	+	8.45010i	−0.126417	+	0.563340i
$16$	−1.00546	+	0.730511i	−0.0628414	+	0.0456569i
$17$	−24.2628	+	12.3625i	−1.42722	+	0.727206i	−0.985457	−	0.169924i	$-0.945648\pi$
$17$	−24.2628	+	12.3625i	−1.42722	+	0.727206i	−0.441766	+	0.897131i	$0.645648\pi$
$18$	2.74057	−	2.74057i	0.152254	−	0.152254i
$19$	8.64024	+	2.80738i	0.454749	+	0.147757i	0.527430	−	0.849598i	$-0.323156\pi$
$19$	8.64024	+	2.80738i	0.454749	+	0.147757i	−0.0726811	+	0.997355i	$0.523156\pi$
$20$	6.23670	+	9.84568i	0.311835	+	0.492284i
$21$	0.968731	+	2.98145i	0.0461301	+	0.141974i
$22$	−1.64306	+	3.22469i	−0.0746846	+	0.146577i
$23$	−24.8036	+	3.92850i	−1.07842	+	0.170804i	−0.670274	−	0.742114i	$-0.733823\pi$
$23$	−24.8036	+	3.92850i	−1.07842	+	0.170804i	−0.408142	+	0.912918i	$0.633823\pi$
$24$		−	14.1665i		−	0.590273i
$25$	−21.9278	+	12.0071i	−0.877112	+	0.480285i
$26$	−23.1346			−0.889792
$27$	0.812857	+	5.13218i	0.0301058	+	0.190081i
$28$	3.75903	+	1.91532i	0.134251	+	0.0684043i
$29$	27.5633	−	8.95587i	0.950459	−	0.308823i	0.207557	−	0.978223i	$-0.433449\pi$
$29$	27.5633	−	8.95587i	0.950459	−	0.308823i	0.742902	+	0.669400i	$0.233449\pi$
$30$	11.1656	+	0.711870i	0.372188	+	0.0237290i
$31$	−14.3903	+	44.2887i	−0.464202	+	1.42867i	0.395781	+	0.918345i	$0.370474\pi$
$31$	−14.3903	+	44.2887i	−0.464202	+	1.42867i	−0.859983	+	0.510322i	$0.829526\pi$
$32$	−21.9985	−	21.9985i	−0.687454	−	0.687454i
$33$	−2.20283	−	4.32329i	−0.0667523	−	0.131009i
$34$	20.6782	+	28.4611i	0.608182	+	0.837090i
$35$	−4.61315	+	7.78553i	−0.131804	+	0.222444i
$36$	5.65735	+	4.11030i	0.157149	+	0.114175i
$37$	−31.3477	−	4.96498i	−0.847234	−	0.134189i	−0.282302	−	0.959326i	$-0.591098\pi$
$37$	−31.3477	−	4.96498i	−0.847234	−	0.134189i	−0.564933	+	0.825137i	$0.691098\pi$
$38$	1.83606	−	11.5924i	0.0483172	−	0.305063i
$39$	18.2309	−	25.0926i	0.467458	−	0.643401i
$40$	30.6986	−	27.0188i	0.767466	−	0.675471i
$41$	11.2150	−	8.14820i	0.273537	−	0.198737i	−0.442556	−	0.896741i	$-0.645928\pi$
$41$	11.2150	−	8.14820i	0.273537	−	0.198737i	0.716094	+	0.698004i	$0.245928\pi$
$42$	3.60858	−	1.83866i	0.0859185	−	0.0437776i
$43$	27.8178	−	27.8178i	0.646925	−	0.646925i	−0.305324	−	0.952249i	$-0.598765\pi$
$43$	27.8178	−	27.8178i	0.646925	−	0.646925i	0.952249	+	0.305324i	$0.0987647\pi$
$44$	−6.21031	−	2.01785i	−0.141143	−	0.0458603i
$45$	−9.57103	+	11.5497i	−0.212690	+	0.256660i
$46$	10.0256	+	30.8556i	0.217948	+	0.670774i
$47$	18.8125	−	36.9215i	0.400265	−	0.785564i	−0.599627	−	0.800280i	$-0.704684\pi$
$47$	18.8125	−	36.9215i	0.400265	−	0.785564i	0.999892	+	0.0147156i	$0.00468429\pi$
$48$	−2.12612	+	0.336745i	−0.0442943	+	0.00701552i
$49$		−	45.7242i		−	0.933146i
$50$	19.7528	+	25.5534i	0.395056	+	0.511069i
$51$	−47.1651			−0.924805
$52$	−6.52972	−	41.2270i	−0.125572	−	0.792828i
$53$	28.1946	+	14.3659i	0.531974	+	0.271054i	0.699277	−	0.714851i	$-0.253506\pi$
$53$	28.1946	+	14.3659i	0.531974	+	0.271054i	−0.167302	+	0.985906i	$0.553506\pi$
$54$	6.38443	−	2.07443i	0.118230	−	0.0384153i
$55$	5.16720	−	13.0190i	0.0939490	−	0.236709i
$56$	4.57452	−	14.0789i	0.0816879	−	0.251410i
$57$	11.1267	+	11.1267i	0.195205	+	0.195205i
$58$	−16.9983	−	33.3611i	−0.293074	−	0.575191i
$59$	18.6844	+	25.7169i	0.316685	+	0.435879i	0.937451	−	0.348116i	$-0.113179\pi$
$59$	18.6844	+	25.7169i	0.316685	+	0.435879i	−0.620767	+	0.783995i	$0.713179\pi$
$60$	1.88290	+	20.0987i	0.0313817	+	0.334978i
$61$	36.7017	+	26.6654i	0.601667	+	0.437137i	0.846470	−	0.532436i	$-0.178723\pi$
$61$	36.7017	+	26.6654i	0.601667	+	0.437137i	−0.244803	+	0.969573i	$0.578723\pi$
$62$	59.4210	+	9.41137i	0.958404	+	0.151796i
$63$	−0.849404	+	5.36292i	−0.0134826	+	0.0851258i
$64$	−26.5465	+	36.5381i	−0.414788	+	0.570907i
$65$	89.1457	−	8.35144i	1.37147	−	0.128484i
$66$	−5.07137	+	3.68456i	−0.0768389	+	0.0558267i
$67$	−86.9965	+	44.3269i	−1.29846	+	0.661596i	−0.960162	−	0.279444i	$-0.909850\pi$
$67$	−86.9965	+	44.3269i	−1.29846	+	0.661596i	−0.338294	+	0.941041i	$0.609850\pi$
$68$	−44.8827	+	44.8827i	−0.660040	+	0.660040i
$69$	−41.3677	−	13.4412i	−0.599531	−	0.194800i
$70$	10.8667	+	4.31297i	0.155239	+	0.0616139i
$71$	−1.13108	−	3.48112i	−0.0159308	−	0.0490299i	0.942775	−	0.333429i	$-0.108206\pi$
$71$	−1.13108	−	3.48112i	−0.0159308	−	0.0490299i	−0.958706	+	0.284399i	$0.908206\pi$
$72$	11.1396	−	21.8628i	0.154717	−	0.303650i
$73$	76.0348	−	12.0427i	1.04157	−	0.164969i	0.387865	−	0.921716i	$-0.373213\pi$
$73$	76.0348	−	12.0427i	1.04157	−	0.164969i	0.653707	+	0.756747i	$0.273213\pi$
$74$			41.0033i			0.554099i
$75$	−43.2821	+	1.28764i	−0.577095	+	0.0171685i
$76$	21.1765			0.278638
$77$	−0.793169	−	5.00787i	−0.0103009	−	0.0650373i
$78$	−35.7029	−	18.1915i	−0.457729	−	0.233225i
$79$	−133.301	+	43.3122i	−1.68736	+	0.548256i	−0.986316	−	0.164864i	$-0.947281\pi$
$79$	−133.301	+	43.3122i	−1.68736	+	0.548256i	−0.701042	+	0.713120i	$0.747281\pi$
$80$	−4.78473	−	3.96502i	−0.0598091	−	0.0495628i
$81$	−2.78115	+	8.55951i	−0.0343352	+	0.105673i
$82$	−12.6637	−	12.6637i	−0.154436	−	0.154436i
$83$	9.52910	+	18.7019i	0.114808	+	0.225324i	0.941259	−	0.337685i	$-0.109644\pi$
$83$	9.52910	+	18.7019i	0.114808	+	0.225324i	−0.826451	+	0.563009i	$0.809644\pi$
$84$	4.29510	+	5.91170i	0.0511322	+	0.0703774i
$85$	−89.9546	−	102.206i	−1.05829	−	1.20242i
$86$	−41.1177	−	29.8738i	−0.478113	−	0.347369i
$87$	49.5799	+	7.85269i	0.569884	+	0.0902608i
$88$	−3.58433	+	22.6306i	−0.0407311	+	0.257166i
$89$	98.0657	−	134.976i	1.10186	−	1.51658i	0.268967	−	0.963149i	$-0.413318\pi$
$89$	98.0657	−	134.976i	1.10186	−	1.51658i	0.832894	−	0.553433i	$-0.186682\pi$
$90$	16.6718	+	9.87854i	0.185242	+	0.109762i
$91$	26.2208	−	19.0505i	0.288141	−	0.209347i
$92$	−52.1566	+	26.5751i	−0.566919	+	0.288860i
$93$	−57.0338	+	57.0338i	−0.613266	+	0.613266i
$94$	−50.9142	−	16.5430i	−0.541640	−	0.175990i
$95$	−2.89019	+	45.3324i	−0.0304230	+	0.477183i
$96$	−16.6514	−	51.2478i	−0.173452	−	0.533832i
$97$	16.0242	−	31.4493i	0.165198	−	0.324220i	−0.793536	−	0.608523i	$-0.791762\pi$
$97$	16.0242	−	31.4493i	0.165198	−	0.324220i	0.958734	+	0.284303i	$0.0917623\pi$
$98$	−58.3445	+	9.24086i	−0.595352	+	0.0942944i
$99$		−	8.40416i		−	0.0848905i
$100$	−39.9623	+	42.4130i	−0.399623	+	0.424130i
$101$	8.47158			0.0838770			0.0419385	−	0.999120i	$-0.486647\pi$
$101$	8.47158			0.0838770			0.0419385	+	0.999120i	$0.486647\pi$
$102$	9.53206	+	60.1831i	0.0934516	+	0.590030i
$103$	132.641	+	67.5842i	1.28778	+	0.656157i	0.957693	−	0.287793i	$-0.0929215\pi$
$103$	132.641	+	67.5842i	1.28778	+	0.656157i	0.330088	+	0.943950i	$0.392921\pi$
$104$	−139.296	+	45.2599i	−1.33938	+	0.435191i
$105$	−13.2414	+	8.38768i	−0.126108	+	0.0798827i
$106$	12.6329	−	38.8800i	0.119178	−	0.366792i
$107$	107.492	+	107.492i	1.00460	+	1.00460i	0.999989	+	0.00460610i	$0.00146617\pi$
$107$	107.492	+	107.492i	1.00460	+	1.00460i	0.00460610	+	0.999989i	$0.498534\pi$
$108$	5.49873	+	10.7919i	0.0509142	+	0.0999248i
$109$	65.8481	+	90.6322i	0.604111	+	0.831488i	0.996077	−	0.0884922i	$-0.0282048\pi$
$109$	65.8481	+	90.6322i	0.604111	+	0.831488i	−0.391966	+	0.919980i	$0.628205\pi$
$110$	−17.6566	−	3.96225i	−0.160515	−	0.0360205i
$111$	−44.4737	−	32.3121i	−0.400664	−	0.291100i
$112$	−2.22172	−	0.351885i	−0.0198367	−	0.00314183i
$113$	1.99324	−	12.5848i	0.0176393	−	0.111370i	−0.977298	−	0.211871i	$-0.932044\pi$
$113$	1.99324	−	12.5848i	0.0176393	−	0.111370i	0.994937	+	0.100501i	$0.0320444\pi$
$114$	11.9490	−	16.4464i	0.104816	−	0.144267i
$115$	−49.7708	−	115.278i	−0.432790	−	1.00242i
$116$	54.6534	−	39.7080i	0.471150	−	0.342310i
$117$	47.8663	−	24.3891i	0.409114	−	0.208454i
$118$	29.0388	−	29.0388i	0.246092	−	0.246092i
$119$	−46.8734	−	15.2301i	−0.393894	−	0.127984i
$120$	68.6221	−	17.5579i	0.571851	−	0.146316i
$121$	−34.9660	−	107.614i	−0.288975	−	0.889373i
$122$	26.6078	−	52.2208i	0.218097	−	0.428039i
$123$	23.7150	−	3.75609i	0.192805	−	0.0305373i
$124$			108.548i			0.875384i
$125$	−85.3392	−	91.3358i	−0.682714	−	0.730686i
$126$	7.01480			0.0556730
$127$	26.8016	+	169.219i	0.211036	+	1.33243i	0.834686	+	0.550727i	$0.185649\pi$
$127$	26.8016	+	169.219i	0.211036	+	1.33243i	−0.623649	+	0.781704i	$0.714351\pi$
$128$	−58.8911	−	30.0065i	−0.460086	−	0.234426i
$129$	64.8044	−	21.0562i	0.502359	−	0.163226i
$130$	−28.6729	−	112.063i	−0.220561	−	0.862023i
$131$	8.07464	−	24.8512i	0.0616385	−	0.189704i	−0.915495	−	0.402328i	$-0.868201\pi$
$131$	8.07464	−	24.8512i	0.0616385	−	0.189704i	0.977134	+	0.212624i	$0.0682011\pi$
$132$	−7.99747	−	7.99747i	−0.0605869	−	0.0605869i
$133$	7.46494	+	14.6508i	0.0561274	+	0.110156i
$134$	74.1436	+	102.050i	0.553310	+	0.761566i
$135$	−23.8526	+	10.2982i	−0.176686	+	0.0762832i
$136$	180.186	+	130.913i	1.32490	+	0.962593i
$137$	209.827	+	33.2334i	1.53159	+	0.242579i	0.864588	−	0.502481i	$-0.167579\pi$
$137$	209.827	+	33.2334i	1.53159	+	0.242579i	0.666997	+	0.745060i	$0.267579\pi$
$138$	−8.79065	+	55.5020i	−0.0637004	+	0.402188i
$139$	23.5058	−	32.3529i	0.169106	−	0.232755i	−0.716050	−	0.698049i	$-0.754052\pi$
$139$	23.5058	−	32.3529i	0.169106	−	0.232755i	0.885156	+	0.465295i	$0.154052\pi$
$140$	−4.61881	+	20.5824i	−0.0329915	+	0.147017i
$141$	58.0653	−	42.1869i	0.411811	−	0.299198i
$142$	−4.21335	+	2.14681i	−0.0296715	+	0.0151184i
$143$	−35.4720	+	35.4720i	−0.248056	+	0.248056i
$144$	−3.54598	−	1.15216i	−0.0246248	−	0.00800109i
$145$	77.5436	+	122.416i	0.534784	+	0.844246i
$146$	−30.7333	−	94.5873i	−0.210502	−	0.647858i
$147$	35.9545	−	70.5647i	0.244588	−	0.480032i
$148$	−73.0700	+	11.5732i	−0.493717	+	0.0781970i
$149$		−	196.500i		−	1.31879i	−0.751797	−	0.659394i	$-0.770813\pi$
$149$		−	196.500i		−	1.31879i	0.751797	−	0.659394i	$-0.229187\pi$
$150$	10.3904	+	54.9682i	0.0692690	+	0.366454i
$151$	171.438			1.13535			0.567677	−	0.823251i	$-0.307842\pi$
$151$	171.438			1.13535			0.567677	+	0.823251i	$0.307842\pi$
$152$	−11.6240	−	73.3910i	−0.0764736	−	0.482835i
$153$	−72.7884	−	37.0875i	−0.475741	−	0.242402i
$154$	−6.22979	+	2.02418i	−0.0404532	+	0.0131440i
$155$	−232.368	−	14.8147i	−1.49915	−	0.0955787i
$156$	22.3411	−	68.7589i	0.143212	−	0.440762i
$157$	−120.559	−	120.559i	−0.767894	−	0.767894i	0.209841	−	0.977735i	$-0.432705\pi$
$157$	−120.559	−	120.559i	−0.767894	−	0.767894i	−0.977735	+	0.209841i	$0.932705\pi$
$158$	82.2070	+	161.340i	0.520297	+	1.02114i
$159$	32.2155	+	44.3408i	0.202613	+	0.278873i
$160$	79.2950	−	133.825i	0.495594	−	0.836404i
$161$	−36.7716	−	26.7161i	−0.228395	−	0.165939i
$162$	11.4841	+	1.81890i	0.0708894	+	0.0112278i
$163$	−11.0686	+	69.8841i	−0.0679053	+	0.428737i	0.930192	+	0.367074i	$0.119640\pi$
$163$	−11.0686	+	69.8841i	−0.0679053	+	0.428737i	−0.998097	+	0.0616630i	$0.980360\pi$
$164$	18.9931	−	26.1418i	0.115812	−	0.159401i
$165$	18.2117	−	16.0286i	0.110374	−	0.0971433i
$166$	21.9380	−	15.9389i	0.132157	−	0.0960173i
$167$	−104.454	+	53.2219i	−0.625473	+	0.318694i	−0.737843	−	0.674972i	$-0.764156\pi$
$167$	−104.454	+	53.2219i	−0.625473	+	0.318694i	0.112371	+	0.993666i	$0.464156\pi$
$168$	18.1305	−	18.1305i	0.107919	−	0.107919i
$169$	−144.245	−	46.8681i	−0.853522	−	0.277326i
$170$	−112.236	+	135.439i	−0.660210	+	0.796698i
$171$	8.42215	+	25.9207i	0.0492523	+	0.151583i
$172$	41.6311	−	81.7057i	0.242041	−	0.475033i
$173$	−22.3007	+	3.53209i	−0.128906	+	0.0204167i	−0.220554	−	0.975375i	$-0.570787\pi$
$173$	−22.3007	+	3.53209i	−0.128906	+	0.0204167i	0.0916480	+	0.995791i	$0.470787\pi$
$174$		−	64.8515i		−	0.372710i
$175$	−43.4303	−	12.6966i	−0.248173	−	0.0725518i
$176$	3.48162			0.0197819
$177$	8.61298	+	54.3802i	0.0486609	+	0.307233i
$178$	−192.049	−	97.8541i	−1.07893	−	0.549742i
$179$	−239.985	+	77.9757i	−1.34070	+	0.435619i	−0.889553	−	0.456833i	$-0.848984\pi$
$179$	−239.985	+	77.9757i	−1.34070	+	0.435619i	−0.451144	+	0.892451i	$0.648984\pi$
$180$	−12.8985	+	32.4982i	−0.0716581	+	0.180546i
$181$	−81.2286	+	249.996i	−0.448777	+	1.38119i	0.429512	+	0.903061i	$0.358686\pi$
$181$	−81.2286	+	249.996i	−0.448777	+	1.38119i	−0.878288	+	0.478131i	$0.841314\pi$
$182$	−29.6079	−	29.6079i	−0.162681	−	0.162681i
$183$	35.6727	+	70.0116i	0.194933	+	0.382577i
$184$	120.730	+	166.171i	0.656142	+	0.903103i
$185$	−14.8019	−	158.000i	−0.0800105	−	0.854056i
$186$	84.3021	+	61.2491i	0.453237	+	0.329296i
$187$	75.3447	+	11.9334i	0.402913	+	0.0638151i
$188$	15.1100	−	95.4009i	0.0803725	−	0.507452i
$189$	−5.52791	+	7.60851i	−0.0292482	+	0.0402567i
$190$	58.4286	−	5.47377i	0.307519	−	0.0288093i
$191$	−285.982	+	207.778i	−1.49729	+	1.08784i	−0.525844	+	0.850581i	$0.676251\pi$
$191$	−285.982	+	207.778i	−1.49729	+	1.08784i	−0.971445	+	0.237264i	$0.923749\pi$
$192$	−69.6995	+	35.5136i	−0.363018	+	0.184967i
$193$	123.500	−	123.500i	0.639896	−	0.639896i	−0.310633	−	0.950530i	$-0.600541\pi$
$193$	123.500	−	123.500i	0.639896	−	0.639896i	0.950530	+	0.310633i	$0.100541\pi$
$194$	−43.3681	−	14.0912i	−0.223547	−	0.0726348i
$195$	144.143	+	57.2099i	0.739194	+	0.293384i
$196$	−32.9354	−	101.365i	−0.168038	−	0.517166i
$197$	−35.4963	+	69.6653i	−0.180184	+	0.353631i	−0.963378	−	0.268146i	$-0.913589\pi$
$197$	−35.4963	+	69.6653i	−0.180184	+	0.353631i	0.783194	+	0.621777i	$0.213589\pi$
$198$	−10.7238	+	1.69848i	−0.0541605	+	0.00857818i
$199$			123.408i			0.620143i	0.950713	+	0.310071i	$0.100353\pi$
$199$			123.408i			0.620143i	−0.950713	+	0.310071i	$0.899647\pi$
$200$	168.926	+	115.216i	0.844629	+	0.576079i
$201$	−169.115			−0.841367
$202$	−1.71211	−	10.8098i	−0.00847577	−	0.0535139i
$203$	46.7376	+	23.8140i	0.230235	+	0.117310i
$204$	−104.559	+	33.9732i	−0.512543	+	0.166535i
$205$	53.3694	+	44.2263i	0.260338	+	0.215738i
$206$	59.4312	−	182.910i	0.288501	−	0.887915i
$207$	−53.2722	−	53.2722i	−0.257353	−	0.257353i
$208$	10.1038	+	19.8297i	0.0485758	+	0.0953353i
$209$	−14.9593	−	20.5897i	−0.0715755	−	0.0985153i
$210$	13.3788	+	15.2010i	0.0637087	+	0.0723855i
$211$	−302.644	−	219.884i	−1.43433	−	1.04210i	−0.989190	−	0.146641i	$-0.953154\pi$
$211$	−302.644	−	219.884i	−1.43433	−	1.04210i	−0.445141	−	0.895461i	$-0.646846\pi$
$212$	72.8517	+	11.5386i	0.343640	+	0.0544272i
$213$	0.991758	−	6.26171i	0.00465614	−	0.0293977i
$214$	115.436	−	158.885i	0.539422	−	0.742451i
$215$	169.225	+	100.271i	0.787094	+	0.466376i
$216$	34.3829	−	24.9807i	0.159180	−	0.115651i
$217$	−75.0979	+	38.2643i	−0.346073	+	0.176333i
$218$	102.340	−	102.340i	0.469448	−	0.469448i
$219$	126.812	+	41.2036i	0.579049	+	0.188144i
$220$	2.07737	−	32.5834i	0.00944258	−	0.148106i
$221$	150.685	+	463.761i	0.681833	+	2.09847i
$222$	−32.2423	+	63.2792i	−0.145236	+	0.285041i
$223$	99.0917	−	15.6946i	0.444357	−	0.0703793i	0.0697536	−	0.997564i	$-0.477779\pi$
$223$	99.0917	−	15.6946i	0.444357	−	0.0703793i	0.374604	+	0.927185i	$0.377779\pi$
$224$		−	56.3078i		−	0.251374i
$225$	−67.8085	−	32.0471i	−0.301371	−	0.142431i
$226$	−16.4612			−0.0728371
$227$	3.69131	+	23.3060i	0.0162613	+	0.102670i	0.994484	−	0.104888i	$-0.0334485\pi$
$227$	3.69131	+	23.3060i	0.0162613	+	0.102670i	−0.978223	+	0.207558i	$0.933448\pi$
$228$	32.6810	+	16.6518i	0.143338	+	0.0730342i
$229$	−67.7925	+	22.0271i	−0.296037	+	0.0961883i	−0.453270	−	0.891373i	$-0.649743\pi$
$229$	−67.7925	+	22.0271i	−0.296037	+	0.0961883i	0.157233	+	0.987562i	$0.449743\pi$
$230$	−137.038	+	86.8058i	−0.595816	+	0.377417i
$231$	2.71379	−	8.35219i	0.0117480	−	0.0361566i
$232$	−167.615	−	167.615i	−0.722479	−	0.722479i
$233$	−104.284	−	204.669i	−0.447571	−	0.878407i	−0.999023	−	0.0442006i	$-0.985926\pi$
$233$	−104.284	−	204.669i	−0.447571	−	0.878407i	0.551452	−	0.834207i	$-0.314074\pi$
$234$	−40.7945	−	56.1489i	−0.174336	−	0.239952i
$235$	202.162	+	45.3664i	0.860265	+	0.193048i
$236$	59.9449	+	43.5525i	0.254004	+	0.184544i
$237$	−239.778	−	37.9770i	−1.01172	−	0.160241i
$238$	−9.96062	+	62.8889i	−0.0418514	+	0.264239i
$239$	178.631	−	245.864i	0.747410	−	1.02872i	−0.250748	−	0.968052i	$-0.580677\pi$
$239$	178.631	−	245.864i	0.747410	−	1.02872i	0.998158	−	0.0606692i	$-0.0193235\pi$
$240$	−4.26628	−	9.88149i	−0.0177762	−	0.0411729i
$241$	−62.1539	+	45.1575i	−0.257900	+	0.187375i	−0.709221	−	0.704986i	$-0.750953\pi$
$241$	−62.1539	+	45.1575i	−0.257900	+	0.187375i	0.451321	+	0.892362i	$0.350953\pi$
$242$	−130.250	+	66.3657i	−0.538223	+	0.274239i
$243$	−11.0227	+	11.0227i	−0.0453609	+	0.0453609i
$244$	100.570	+	32.6772i	0.412173	+	0.133923i
$245$	221.486	−	56.6702i	0.904024	−	0.231307i
$246$	−9.58561	−	29.5015i	−0.0389659	−	0.119925i
$247$	73.8574	−	144.953i	0.299018	−	0.586856i
$248$	376.192	−	59.5830i	1.51690	−	0.240254i
$249$			36.3551i			0.146005i
$250$	−99.2982	+	127.353i	−0.397193	+	0.509410i
$251$	−3.29750			−0.0131375			−0.00656873	−	0.999978i	$-0.502091\pi$
$251$	−3.29750			−0.0131375			−0.00656873	+	0.999978i	$0.502091\pi$
$252$	1.97992	+	12.5007i	0.00785683	+	0.0496061i
$253$	62.6827	+	31.9384i	0.247758	+	0.126239i
$254$	210.508	−	68.3982i	0.828772	−	0.269284i
$255$	−58.4561	−	228.465i	−0.229240	−	0.895943i
$256$	−82.2119	+	253.022i	−0.321140	+	0.988368i
$257$	−168.641	−	168.641i	−0.656192	−	0.656192i	0.298285	−	0.954477i	$-0.403585\pi$
$257$	−168.641	−	168.641i	−0.656192	−	0.656192i	−0.954477	+	0.298285i	$0.903585\pi$
$258$	−39.9649	−	78.4355i	−0.154903	−	0.304014i
$259$	−33.7648	−	46.4733i	−0.130366	−	0.179434i
$260$	191.609	−	82.7262i	0.736958	−	0.318178i
$261$	70.3403	+	51.1052i	0.269503	+	0.195805i
$262$	−33.3422	−	5.28089i	−0.127260	−	0.0201561i
$263$	16.3632	−	103.313i	0.0622174	−	0.392825i	−0.936853	−	0.349723i	$-0.886276\pi$
$263$	16.3632	−	103.313i	0.0622174	−	0.392825i	0.999071	−	0.0431023i	$-0.0137242\pi$
$264$	−23.3268	+	32.1066i	−0.0883591	+	0.121616i
$265$	−34.6434	+	154.379i	−0.130730	+	0.582560i
$266$	17.1859	−	12.4863i	0.0646085	−	0.0469408i
$267$	257.478	−	131.191i	0.964336	−	0.491354i
$268$	−160.931	+	160.931i	−0.600489	+	0.600489i
$269$	315.804	+	102.611i	1.17399	+	0.381453i	0.830131	−	0.557568i	$-0.188265\pi$
$269$	315.804	+	102.611i	1.17399	+	0.381453i	0.343860	+	0.939021i	$0.388265\pi$
$270$	17.9613	+	28.3549i	0.0665232	+	0.105018i
$271$	−48.6583	−	149.755i	−0.179551	−	0.552601i	0.820261	−	0.571989i	$-0.193828\pi$
$271$	−48.6583	−	149.755i	−0.179551	−	0.552601i	−0.999812	+	0.0193883i	$0.993828\pi$
$272$	15.3644	−	30.1543i	0.0564866	−	0.110861i
$273$	55.4458	−	8.78176i	0.203098	−	0.0321676i
$274$		−	274.458i		−	1.00167i
$275$	69.4676	+	8.89402i	0.252609	+	0.0323419i
$276$	−101.389			−0.367350
$277$	78.0548	+	492.819i	0.281786	+	1.77913i	0.570082	+	0.821588i	$0.306911\pi$
$277$	78.0548	+	492.819i	0.281786	+	1.77913i	−0.288295	+	0.957541i	$0.593089\pi$
$278$	−46.0331	−	23.4551i	−0.165587	−	0.0843707i
$279$	−132.866	+	43.1708i	−0.476222	+	0.154734i
$280$	73.8674	+	4.70945i	0.263812	+	0.0168195i
$281$	11.1228	−	34.2324i	0.0395828	−	0.121823i	−0.929313	−	0.369294i	$-0.879599\pi$
$281$	11.1228	−	34.2324i	0.0395828	−	0.121823i	0.968895	+	0.247471i	$0.0795994\pi$
$282$	−65.5659	−	65.5659i	−0.232503	−	0.232503i
$283$	−193.095	−	378.969i	−0.682313	−	1.33911i	−0.929022	−	0.370025i	$-0.879349\pi$
$283$	−193.095	−	378.969i	−0.682313	−	1.33911i	0.246709	−	0.969090i	$-0.420651\pi$
$284$	−5.01494	−	6.90247i	−0.0176582	−	0.0243045i
$285$	−40.1068	+	67.6874i	−0.140725	+	0.237500i
$286$	52.4315	+	38.0937i	0.183327	+	0.133195i
$287$	24.7813	+	3.92497i	0.0863458	+	0.0136758i
$288$	14.6003	−	92.1828i	0.0506955	−	0.320079i
$289$	265.981	−	366.092i	0.920350	−	1.26675i
$290$	140.532	−	123.687i	0.484593	−	0.426505i
$291$	49.4594	−	35.9343i	0.169964	−	0.123486i
$292$	159.885	−	81.4654i	0.547551	−	0.278991i
$293$	14.8732	−	14.8732i	0.0507618	−	0.0507618i	−0.681270	−	0.732032i	$-0.738572\pi$
$293$	14.8732	−	14.8732i	0.0507618	−	0.0507618i	0.732032	+	0.681270i	$0.238572\pi$
$294$	−97.3076	−	31.6172i	−0.330978	−	0.107541i
$295$	−101.414	+	122.380i	−0.343776	+	0.414846i
$296$	80.2178	+	246.885i	0.271006	+	0.834071i
$297$	6.60848	−	12.9699i	0.0222508	−	0.0436696i
$298$	−250.735	+	39.7126i	−0.841393	+	0.133264i
$299$			449.699i			1.50401i
$300$	−95.0234	+	34.0309i	−0.316745	+	0.113436i
$301$	71.2029			0.236554
$302$	−34.6477	−	218.757i	−0.114728	−	0.724361i
$303$	13.0739	+	6.66150i	0.0431483	+	0.0219851i
$304$	−10.7383	+	3.48907i	−0.0353232	+	0.0114772i
$305$	−83.6779	+	210.830i	−0.274354	+	0.691247i
$306$	−32.6135	+	100.374i	−0.106580	+	0.328020i
$307$	−53.7073	−	53.7073i	−0.174942	−	0.174942i	0.614205	−	0.789147i	$-0.289477\pi$
$307$	−53.7073	−	53.7073i	−0.174942	−	0.174942i	−0.789147	+	0.614205i	$0.789477\pi$
$308$	−5.36555	−	10.5305i	−0.0174206	−	0.0341899i
$309$	151.558	+	208.601i	0.490478	+	0.675085i
$310$	28.0578	+	299.497i	0.0905090	+	0.966120i
$311$	−161.560	−	117.380i	−0.519485	−	0.377428i	0.296925	−	0.954901i	$-0.404039\pi$
$311$	−161.560	−	117.380i	−0.519485	−	0.377428i	−0.816410	+	0.577473i	$0.804039\pi$
$312$	−250.560	−	39.6848i	−0.803077	−	0.127195i
$313$	−26.3462	+	166.343i	−0.0841730	+	0.531447i	0.909186	+	0.416390i	$0.136705\pi$
$313$	−26.3462	+	166.343i	−0.0841730	+	0.531447i	−0.993359	+	0.115057i	$0.963295\pi$
$314$	−129.470	+	178.200i	−0.412324	+	0.567516i
$315$	−27.0305	+	2.53230i	−0.0858111	+	0.00803904i
$316$	−264.314	+	192.035i	−0.836436	+	0.607706i
$317$	−270.200	+	137.674i	−0.852366	+	0.434302i	−0.824872	−	0.565320i	$-0.808753\pi$
$317$	−270.200	+	137.674i	−0.852366	+	0.434302i	−0.0274941	+	0.999622i	$0.508753\pi$
$318$	50.0686	−	50.0686i	0.157448	−	0.157448i
$319$	−77.2155	−	25.0888i	−0.242055	−	0.0786484i
$320$	−209.890	−	83.3048i	−0.655907	−	0.260328i
$321$	81.3641	+	250.413i	0.253471	+	0.780103i
$322$	−26.6585	+	52.3202i	−0.0827903	+	0.162485i
$323$	−244.343	+	38.7001i	−0.756478	+	0.119814i
$324$			20.9786i			0.0647488i
$325$	150.941	+	421.467i	0.464433	+	1.29682i
$326$	91.4098			0.280398
$327$	30.3541	+	191.648i	0.0928261	+	0.586081i
$328$	−101.025	−	51.4746i	−0.308002	−	0.156935i
$329$	71.3289	−	23.1762i	0.216805	−	0.0704442i
$330$	−24.1333	−	19.9988i	−0.0731311	−	0.0606026i
$331$	134.681	−	414.505i	0.406890	−	1.25228i	−0.512416	−	0.858737i	$-0.671249\pi$
$331$	134.681	−	414.505i	0.406890	−	1.25228i	0.919306	−	0.393543i	$-0.128751\pi$
$332$	34.5959	+	34.5959i	0.104204	+	0.104204i
$333$	−43.2268	−	84.8374i	−0.129810	−	0.254767i
$334$	89.0218	+	122.528i	0.266532	+	0.366850i
$335$	−322.541	−	366.469i	−0.962808	−	1.09394i
$336$	−3.15200	−	2.29007i	−0.00938096	−	0.00681567i
$337$	−166.306	−	26.3402i	−0.493488	−	0.0781609i	−0.0952699	−	0.995451i	$-0.530371\pi$
$337$	−166.306	−	26.3402i	−0.493488	−	0.0781609i	−0.398218	+	0.917291i	$0.630371\pi$
$338$	−30.6522	+	193.530i	−0.0906869	+	0.572575i
$339$	12.9720	−	17.8544i	0.0382654	−	0.0526678i
$340$	−273.037	−	161.782i	−0.803050	−	0.475831i
$341$	105.540	−	76.6793i	0.309501	−	0.224866i
$342$	31.3730	−	15.9853i	0.0917338	−	0.0467407i
$343$	121.229	−	121.229i	0.353437	−	0.353437i
$344$	−306.018	−	99.4312i	−0.889587	−	0.289044i
$345$	13.8376	−	217.042i	0.0401090	−	0.629107i
$346$	9.01396	+	27.7421i	0.0260519	+	0.0801795i
$347$	−17.6279	+	34.5967i	−0.0508008	+	0.0997022i	−0.915011	−	0.403428i	$-0.867818\pi$
$347$	−17.6279	+	34.5967i	−0.0508008	+	0.0997022i	0.864210	+	0.503131i	$0.167818\pi$
$348$	115.569	−	18.3043i	0.332094	−	0.0525985i
$349$		−	220.279i		−	0.631173i	−0.948897	−	0.315586i	$-0.897799\pi$
$349$		−	220.279i		−	0.631173i	0.948897	−	0.315586i	$-0.102201\pi$
$350$	−7.42369	+	57.9834i	−0.0212105	+	0.165667i
$351$	93.0486			0.265096
$352$	13.6337	+	86.0798i	0.0387321	+	0.244545i
$353$	−268.455	−	136.785i	−0.760495	−	0.387492i	0.0303249	−	0.999540i	$-0.490346\pi$
$353$	−268.455	−	136.785i	−0.760495	−	0.387492i	−0.790820	+	0.612048i	$0.790346\pi$
$354$	67.6490	−	21.9805i	0.191099	−	0.0620917i
$355$	15.4605	−	9.79340i	0.0435508	−	0.0275870i
$356$	120.175	−	369.861i	0.337571	−	1.03894i
$357$	−60.3623	−	60.3623i	−0.169082	−	0.169082i
$358$	147.999	+	290.464i	0.413404	+	0.811351i
$359$	140.056	+	192.770i	0.390127	+	0.536964i	0.958232	−	0.285992i	$-0.0923232\pi$
$359$	140.056	+	192.770i	0.390127	+	0.536964i	−0.568105	+	0.822956i	$0.692323\pi$
$360$	119.709	+	26.8633i	0.332524	+	0.0746204i
$361$	−225.283	−	163.678i	−0.624052	−	0.453400i
$362$	335.413	+	53.1243i	0.926556	+	0.146752i
$363$	30.6589	−	193.573i	0.0844597	−	0.533258i
$364$	44.4060	−	61.1196i	0.121994	−	0.167911i
$365$	152.571	+	353.383i	0.418004	+	0.968174i
$366$	82.1260	−	59.6680i	0.224388	−	0.163027i
$367$	624.401	−	318.148i	1.70136	−	0.866888i	0.715650	−	0.698459i	$-0.246130\pi$
$367$	624.401	−	318.148i	1.70136	−	0.866888i	0.985714	−	0.168430i	$-0.0538696\pi$
$368$	22.0692	−	22.0692i	0.0599707	−	0.0599707i
$369$	39.5522	+	12.8513i	0.107188	+	0.0348273i
$370$	−198.618	+	50.8193i	−0.536806	+	0.137349i
$371$	17.6982	+	54.4693i	0.0477039	+	0.146818i
$372$	−85.3548	+	167.518i	−0.229448	+	0.450318i
$373$	−544.089	+	86.1752i	−1.45868	+	0.231033i	−0.834830	−	0.550508i	$-0.814434\pi$
$373$	−544.089	+	86.1752i	−1.45868	+	0.231033i	−0.623854	+	0.781541i	$0.714434\pi$
$374$		−	98.5522i		−	0.263509i
$375$	−59.8808	−	208.061i	−0.159682	−	0.554829i
$376$	−338.924			−0.901393
$377$	−81.1869	−	512.594i	−0.215350	−	1.35966i
$378$	10.8257	+	5.51598i	0.0286395	+	0.0145925i
$379$	322.888	−	104.913i	0.851946	−	0.276814i	0.149685	−	0.988734i	$-0.452174\pi$
$379$	322.888	−	104.913i	0.851946	−	0.276814i	0.702261	+	0.711920i	$0.252174\pi$
$380$	26.2460	+	102.578i	0.0690684	+	0.269942i
$381$	−91.7004	+	282.225i	−0.240684	+	0.740748i
$382$	322.924	+	322.924i	0.845351	+	0.845351i
$383$	107.231	+	210.453i	0.279977	+	0.549486i	0.987579	−	0.157126i	$-0.0502228\pi$
$383$	107.231	+	210.453i	0.279977	+	0.549486i	−0.707601	+	0.706612i	$0.750223\pi$
$384$	−67.2896	−	92.6162i	−0.175233	−	0.241188i
$385$	23.2749	−	10.0488i	0.0604542	−	0.0261008i
$386$	−182.547	−	132.628i	−0.472918	−	0.343595i
$387$	116.568	+	18.4625i	0.301209	+	0.0477068i
$388$	12.8705	−	81.2614i	0.0331715	−	0.209437i
$389$	−415.555	+	571.963i	−1.06827	+	1.47034i	−0.196446	+	0.980515i	$0.562940\pi$
$389$	−415.555	+	571.963i	−1.06827	+	1.47034i	−0.871820	+	0.489827i	$0.837060\pi$
$390$	43.8690	−	195.490i	0.112485	−	0.501256i
$391$	553.237	−	401.950i	1.41493	−	1.02801i
$392$	−333.219	+	169.784i	−0.850049	+	0.433122i
$393$	32.0027	−	32.0027i	0.0814318	−	0.0814318i
$394$	96.0674	+	31.2142i	0.243826	+	0.0792238i
$395$	−375.015	−	592.025i	−0.949405	−	1.49880i
$396$	−6.05356	−	18.6309i	−0.0152868	−	0.0470478i
$397$	−83.9994	+	164.858i	−0.211585	+	0.415260i	−0.972270	−	0.233862i	$-0.924864\pi$
$397$	−83.9994	+	164.858i	−0.211585	+	0.415260i	0.760684	+	0.649122i	$0.224864\pi$
$398$	157.470	−	24.9408i	0.395654	−	0.0626654i
$399$			28.4800i			0.0713785i
$400$	13.2762	−	28.0912i	0.0331906	−	0.0702281i
$401$	652.180			1.62639			0.813193	−	0.581995i	$-0.197728\pi$
$401$	652.180			1.62639			0.813193	+	0.581995i	$0.197728\pi$
$402$	34.1781	+	215.792i	0.0850202	+	0.536796i
$403$	743.011	+	378.583i	1.84370	+	0.939412i
$404$	18.7804	−	6.10212i	0.0464861	−	0.0151043i
$405$	−44.9088	−	2.86318i	−0.110886	−	0.00706958i
$406$	20.9412	−	64.4504i	0.0515793	−	0.158745i
$407$	62.8700	+	62.8700i	0.154472	+	0.154472i
$408$	175.134	+	343.720i	0.429250	+	0.842450i
$409$	−355.310	−	489.043i	−0.868730	−	1.19570i	−0.979417	−	0.201849i	$-0.935305\pi$
$409$	−355.310	−	489.043i	−0.868730	−	1.19570i	0.110687	−	0.993855i	$-0.464695\pi$
$410$	45.6472	−	77.0379i	0.111335	−	0.187897i
$411$	297.687	+	216.282i	0.724300	+	0.526235i
$412$	342.730	+	54.2831i	0.831869	+	0.131755i
$413$	−9.00022	+	56.8251i	−0.0217923	+	0.137591i
$414$	−57.2095	+	78.7421i	−0.138187	+	0.190198i
$415$	−78.7809	+	69.3376i	−0.189834	+	0.167078i
$416$	−450.707	+	327.458i	−1.08343	+	0.787158i
$417$	61.7159	−	31.4458i	0.148000	−	0.0754097i
$418$	−23.2494	+	23.2494i	−0.0556205	+	0.0556205i
$419$	−282.385	−	91.7525i	−0.673950	−	0.218980i	−0.0480053	−	0.998847i	$-0.515286\pi$
$419$	−282.385	−	91.7525i	−0.673950	−	0.218980i	−0.625945	+	0.779867i	$0.715286\pi$
$420$	−23.3127	+	28.1322i	−0.0555064	+	0.0669815i
$421$	−170.801	−	525.672i	−0.405704	−	1.24863i	−0.920306	−	0.391199i	$-0.872060\pi$
$421$	−170.801	−	525.672i	−0.405704	−	1.24863i	0.514602	−	0.857429i	$-0.327940\pi$
$422$	−219.409	+	430.615i	−0.519927	+	1.02041i
$423$	122.783	−	19.4470i	0.290268	−	0.0459740i
$424$		−	258.815i		−	0.610412i
$425$	383.591	−	562.409i	0.902568	−	1.32332i
$426$	−8.19044			−0.0192264
$427$	12.8446	+	81.0978i	0.0300811	+	0.189925i
$428$	315.722	+	160.868i	0.737668	+	0.375861i
$429$	−82.6357	+	26.8500i	−0.192624	+	0.0625874i
$430$	93.7461	−	236.198i	0.218014	−	0.549297i
$431$	69.6929	−	214.493i	0.161700	−	0.497663i	−0.837078	−	0.547084i	$-0.815738\pi$
$431$	69.6929	−	214.493i	0.161700	−	0.497663i	0.998778	+	0.0494214i	$0.0157377\pi$
$432$	−4.56641	−	4.56641i	−0.0105704	−	0.0105704i
$433$	−87.9085	−	172.530i	−0.203022	−	0.398453i	0.766937	−	0.641723i	$-0.221780\pi$
$433$	−87.9085	−	172.530i	−0.203022	−	0.398453i	−0.969959	+	0.243270i	$0.921780\pi$
$434$	64.0028	+	88.0924i	0.147472	+	0.202978i
$435$	23.4110	+	249.895i	0.0538183	+	0.574472i
$436$	211.260	+	153.489i	0.484540	+	0.352039i
$437$	−225.337	−	35.6899i	−0.515646	−	0.0816704i
$438$	26.9476	−	170.140i	0.0615241	−	0.388448i
$439$	−424.325	+	584.033i	−0.966571	+	1.33037i	−0.0228109	+	0.999740i	$0.507262\pi$
$439$	−424.325	+	584.033i	−0.966571	+	1.33037i	−0.943760	+	0.330631i	$0.892738\pi$
$440$	−114.064	+	10.6859i	−0.259236	+	0.0242860i
$441$	110.975	−	80.6280i	0.251644	−	0.182830i
$442$	561.310	−	286.002i	1.26993	−	0.647063i
$443$	−324.984	+	324.984i	−0.733599	+	0.733599i	−0.971331	−	0.237732i	$-0.923596\pi$
$443$	−324.984	+	324.984i	−0.733599	+	0.733599i	0.237732	+	0.971331i	$0.423596\pi$
$444$	−121.867	−	39.5970i	−0.274475	−	0.0891825i
$445$	775.359	+	307.738i	1.74238	+	0.691545i
$446$	−40.0529	−	123.270i	−0.0898046	−	0.276390i
$447$	154.514	−	303.252i	0.345670	−	0.678415i
$448$	−80.7362	+	12.7874i	−0.180215	+	0.0285432i
$449$		−	76.3546i		−	0.170055i	−0.996379	−	0.0850274i	$-0.972902\pi$
$449$		−	76.3546i		−	0.170055i	0.996379	−	0.0850274i	$-0.0270978\pi$
$450$	−27.1883	+	93.0009i	−0.0604183	+	0.206669i
$451$	−38.8343			−0.0861072
$452$	−4.64615	−	29.3347i	−0.0102791	−	0.0648997i
$453$	264.576	+	134.808i	0.584052	+	0.297589i
$454$	28.9927	−	9.42030i	0.0638606	−	0.0207496i
$455$	124.778	+	103.401i	0.274237	+	0.227256i
$456$	39.7709	−	122.402i	0.0872169	−	0.268426i
$457$	307.229	+	307.229i	0.672273	+	0.672273i	0.958240	−	0.285967i	$-0.0923147\pi$
$457$	307.229	+	307.229i	0.672273	+	0.672273i	−0.285967	+	0.958240i	$0.592315\pi$
$458$	41.8077	+	82.0522i	0.0912831	+	0.179153i
$459$	−83.1688	−	114.472i	−0.181196	−	0.249394i
$460$	−193.371	−	219.707i	−0.420372	−	0.477624i
$461$	−338.793	−	246.148i	−0.734909	−	0.533943i	0.156204	−	0.987725i	$-0.450074\pi$
$461$	−338.793	−	246.148i	−0.734909	−	0.533943i	−0.891113	+	0.453782i	$0.850074\pi$
$462$	−11.2059	−	1.77484i	−0.0242552	−	0.00384165i
$463$	−53.8967	+	340.290i	−0.116408	+	0.734969i	0.858575	+	0.512688i	$0.171350\pi$
$463$	−53.8967	+	340.290i	−0.116408	+	0.734969i	−0.974983	+	0.222281i	$0.928650\pi$
$464$	−21.1715	+	29.1401i	−0.0456283	+	0.0628019i
$465$	−346.956	−	205.582i	−0.746143	−	0.442111i
$466$	−240.084	+	174.431i	−0.515201	+	0.374315i
$467$	157.765	−	80.3853i	0.337827	−	0.172131i	−0.276845	−	0.960915i	$-0.589289\pi$
$467$	157.765	−	80.3853i	0.337827	−	0.172131i	0.614671	+	0.788783i	$0.289289\pi$
$468$	88.5459	−	88.5459i	0.189201	−	0.189201i
$469$	−168.069	−	54.6089i	−0.358356	−	0.116437i
$470$	17.0309	−	267.129i	0.0362361	−	0.568360i
$471$	−91.2555	−	280.856i	−0.193748	−	0.596296i
$472$	118.035	−	231.656i	0.250074	−	0.490797i
$473$	−108.850	+	17.2402i	−0.230128	+	0.0364486i
$474$			313.634i			0.661674i
$475$	−223.170	+	42.1847i	−0.469832	+	0.0888100i
$476$	−114.883			−0.241350
$477$	14.8504	+	93.7620i	0.0311330	+	0.196566i
$478$	−349.827	−	178.246i	−0.731855	−	0.372899i
$479$	−342.771	+	111.373i	−0.715597	+	0.232512i	−0.644113	−	0.764930i	$-0.722773\pi$
$479$	−342.771	+	111.373i	−0.715597	+	0.232512i	−0.0714837	+	0.997442i	$0.522773\pi$
$480$	227.605	−	144.175i	0.474176	−	0.300365i
$481$	−175.629	+	540.530i	−0.365133	+	1.12376i
$482$	70.1827	+	70.1827i	0.145607	+	0.145607i
$483$	−35.7406	−	70.1449i	−0.0739971	−	0.145227i
$484$	−155.030	−	213.381i	−0.320310	−	0.440869i
$485$	172.199	+	38.6426i	0.355050	+	0.0796754i
$486$	16.2928	+	11.8374i	0.0335242	+	0.0243568i
$487$	−432.824	−	68.5526i	−0.888756	−	0.140765i	−0.304671	−	0.952458i	$-0.598547\pi$
$487$	−432.824	−	68.5526i	−0.888756	−	0.140765i	−0.584085	+	0.811692i	$0.698547\pi$
$488$	58.0449	−	366.481i	0.118945	−	0.750986i
$489$	−72.0341	+	99.1464i	−0.147309	+	0.202753i
$490$	−117.074	−	271.165i	−0.238927	−	0.553398i
$491$	480.359	−	349.001i	0.978328	−	0.710797i	0.0209938	−	0.999780i	$-0.493317\pi$
$491$	480.359	−	349.001i	0.978328	−	0.710797i	0.957334	+	0.288983i	$0.0933170\pi$
$492$	49.8676	−	25.4088i	0.101357	−	0.0516439i
$493$	−558.046	+	558.046i	−1.13194	+	1.13194i
$494$	−199.888	−	64.9477i	−0.404632	−	0.131473i
$495$	40.7094	−	10.4161i	0.0822411	−	0.0210425i
$496$	−17.8845	−	55.0428i	−0.0360575	−	0.110973i
$497$	3.00760	−	5.90274i	0.00605151	−	0.0118767i
$498$	46.3895	−	7.34737i	0.0931516	−	0.0147538i
$499$			471.200i			0.944289i	0.881521	+	0.472145i	$0.156520\pi$
$499$			471.200i			0.944289i	−0.881521	+	0.472145i	$0.843480\pi$
$500$	−254.976	−	141.009i	−0.509951	−	0.282019i
$501$	−203.051			−0.405291
$502$	0.666426	+	4.20765i	0.00132754	+	0.00838177i
$503$	245.179	+	124.925i	0.487434	+	0.248360i	0.680394	−	0.732847i	$-0.261809\pi$
$503$	245.179	+	124.925i	0.487434	+	0.248360i	−0.192960	+	0.981207i	$0.561809\pi$
$504$	42.2368	−	13.7236i	0.0838032	−	0.0272293i
$505$	10.4996	+	41.0360i	0.0207913	+	0.0812593i
$506$	28.0856	−	86.4385i	0.0555051	−	0.170827i
$507$	−185.755	−	185.755i	−0.366381	−	0.366381i
$508$	181.305	+	355.831i	0.356899	+	0.700454i
$509$	−99.5633	−	137.037i	−0.195606	−	0.269228i	0.699936	−	0.714205i	$-0.253212\pi$
$509$	−99.5633	−	137.037i	−0.195606	−	0.269228i	−0.895542	+	0.444977i	$0.853212\pi$
$510$	−279.710	+	120.763i	−0.548451	+	0.236791i
$511$	112.722	+	81.8977i	0.220592	+	0.160269i
$512$	78.3486	+	12.4092i	0.153025	+	0.0242367i
$513$	−7.38471	+	46.6253i	−0.0143952	+	0.0908874i
$514$	−181.105	+	249.270i	−0.352345	+	0.484961i
$515$	−162.980	+	726.273i	−0.316466	+	1.41024i
$516$	128.496	−	93.3578i	0.249023	−	0.180926i
$517$	−103.431	+	52.7009i	−0.200061	+	0.101936i
$518$	−52.4765	+	52.4765i	−0.101306	+	0.101306i
$519$	−37.1934	−	12.0849i	−0.0716637	−	0.0232849i
$520$	−391.879	−	618.647i	−0.753614	−	1.18971i
$521$	222.241	+	683.987i	0.426566	+	1.31284i	0.901487	+	0.432807i	$0.142477\pi$
$521$	222.241	+	683.987i	0.426566	+	1.31284i	−0.474920	+	0.880029i	$0.657523\pi$
$522$	50.9949	−	100.083i	0.0976915	−	0.191730i
$523$	154.804	−	24.5185i	0.295991	−	0.0468804i	−0.00667264	−	0.999978i	$-0.502124\pi$
$523$	154.804	−	24.5185i	0.295991	−	0.0468804i	0.302664	+	0.953097i	$0.402124\pi$
$524$		−	60.9081i		−	0.116237i
$525$	−57.0408	−	53.7449i	−0.108649	−	0.102371i
$526$	−135.135			−0.256911
$527$	−198.371	−	1252.47i	−0.376416	−	2.37660i
$528$	5.37307	+	2.73772i	0.0101763	+	0.00518507i
$529$	96.6746	−	31.4115i	0.182750	−	0.0593790i
$530$	203.990	+	13.0055i	0.384886	+	0.0245386i
$531$	−29.4689	+	90.6959i	−0.0554970	+	0.170802i
$532$	27.1018	+	27.1018i	0.0509433	+	0.0509433i
$533$	−112.698	−	221.183i	−0.211442	−	0.414978i
$534$	−219.438	−	302.030i	−0.410932	−	0.565600i
$535$	−387.461	+	653.910i	−0.724225	+	1.22226i
$536$	646.073	+	469.400i	1.20536	+	0.875746i
$537$	−431.676	−	68.3707i	−0.803866	−	0.127320i
$538$	67.1084	−	423.706i	0.124737	−	0.787558i
$539$	−75.2900	+	103.628i	−0.139685	+	0.192259i
$540$	−45.4603	+	40.0110i	−0.0841857	+	0.0740944i
$541$	−16.6570	+	12.1020i	−0.0307893	+	0.0223698i	−0.603073	−	0.797686i	$-0.706057\pi$
$541$	−16.6570	+	12.1020i	−0.0307893	+	0.0223698i	0.572284	+	0.820055i	$0.306057\pi$
$542$	−181.255	+	92.3539i	−0.334418	+	0.170395i
$543$	−321.938	+	321.938i	−0.592888	+	0.592888i
$544$	805.702	+	261.789i	1.48107	+	0.481229i
$545$	−357.406	+	431.294i	−0.655792	+	0.791366i
$546$	−22.4112	−	68.9746i	−0.0410462	−	0.126327i
$547$	−114.427	+	224.575i	−0.209190	+	0.410558i	−0.971632	−	0.236499i	$-0.924000\pi$
$547$	−114.427	+	224.575i	−0.209190	+	0.410558i	0.762442	+	0.647056i	$0.224000\pi$
$548$	489.098	−	77.4655i	0.892515	−	0.141360i
$549$			136.097i			0.247901i
$550$	−2.69054	−	90.4388i	−0.00489190	−	0.164434i
$551$	263.296			0.477852
$552$	55.6532	+	351.381i	0.100821	+	0.636559i
$553$	−226.032	−	115.169i	−0.408737	−	0.208262i
$554$	613.067	−	199.197i	1.10662	−	0.359562i
$555$	101.398	−	255.476i	0.182699	−	0.460317i
$556$	28.8053	−	88.6536i	0.0518081	−	0.159449i
$557$	587.229	+	587.229i	1.05427	+	1.05427i	0.998440	+	0.0558301i	$0.0177805\pi$
$557$	587.229	+	587.229i	1.05427	+	1.05427i	0.0558301	+	0.998440i	$0.482219\pi$
$558$	81.9386	+	160.813i	0.146843	+	0.288196i
$559$	−414.080	−	569.932i	−0.740751	−	1.01956i
$560$	−1.04906	−	11.1980i	−0.00187333	−	0.0199965i
$561$	106.893	+	77.6626i	0.190541	+	0.138436i
$562$	−45.9287	−	7.27440i	−0.0817237	−	0.0129438i
$563$	−142.523	+	899.852i	−0.253148	+	1.59832i	0.453835	+	0.891086i	$0.350056\pi$
$563$	−142.523	+	899.852i	−0.253148	+	1.59832i	−0.706983	+	0.707230i	$0.749944\pi$
$564$	98.3359	−	135.348i	0.174354	−	0.239978i
$565$	63.4307	−	5.94238i	0.112267	−	0.0105175i
$566$	−444.544	+	322.980i	−0.785414	+	0.570636i
$567$	−14.5139	+	7.39519i	−0.0255977	+	0.0130427i
$568$	−21.1690	+	21.1690i	−0.0372694	+	0.0372694i
$569$	882.800	+	286.839i	1.55149	+	0.504111i	0.954519	−	0.298150i	$-0.0963695\pi$
$569$	882.800	+	286.839i	1.55149	+	0.504111i	0.596974	+	0.802260i	$0.296369\pi$
$570$	94.4753	+	37.4970i	0.165746	+	0.0657842i
$571$	−93.5955	−	288.057i	−0.163915	−	0.504479i	0.835040	−	0.550190i	$-0.185445\pi$
$571$	−93.5955	−	288.057i	−0.163915	−	0.504479i	−0.998955	+	0.0457110i	$0.985445\pi$
$572$	−53.0862	+	104.188i	−0.0928081	+	0.182146i
$573$	−604.731	+	95.7799i	−1.05538	+	0.167155i
$574$		−	32.4143i		−	0.0564710i
$575$	496.718	−	383.963i	0.863857	−	0.667762i
$576$	−135.491			−0.235227
$577$	−96.9341	−	612.018i	−0.167997	−	1.06069i	−0.917223	−	0.398375i	$-0.869574\pi$
$577$	−96.9341	−	612.018i	−0.167997	−	1.06069i	0.749226	−	0.662314i	$-0.230426\pi$
$578$	−520.891	−	265.407i	−0.901196	−	0.459182i
$579$	287.706	−	93.4814i	0.496902	−	0.161453i
$580$	260.081	+	215.525i	0.448415	+	0.371594i
$581$	−11.7395	+	36.1303i	−0.0202056	+	0.0621864i
$582$	−55.8483	−	55.8483i	−0.0959593	−	0.0959593i
$583$	−40.2444	−	78.9840i	−0.0690298	−	0.135479i
$584$	−370.096	−	509.393i	−0.633726	−	0.872249i
$585$	177.465	+	201.635i	0.303359	+	0.344675i
$586$	−21.9842	−	15.9725i	−0.0375157	−	0.0272568i
$587$	1039.32	+	164.612i	1.77056	+	0.280429i	0.954646	−	0.297743i	$-0.0962340\pi$
$587$	1039.32	+	164.612i	1.77056	+	0.280429i	0.815915	+	0.578173i	$0.196234\pi$
$588$	28.8784	−	182.331i	0.0491129	−	0.310087i
$589$	−248.671	+	342.266i	−0.422191	+	0.581096i
$590$	176.653	+	104.672i	0.299412	+	0.177411i
$591$	−109.561	+	79.6004i	−0.185382	+	0.134688i
$592$	35.1459	−	17.9077i	0.0593680	−	0.0302495i
$593$	707.610	−	707.610i	1.19327	−	1.19327i	0.217129	−	0.976143i	$-0.430331\pi$
$593$	707.610	−	707.610i	1.19327	−	1.19327i	0.976143	−	0.217129i	$-0.0696694\pi$
$594$	−17.8852	−	5.81127i	−0.0301098	−	0.00978328i
$595$	15.6793	−	245.929i	0.0263517	−	0.413326i
$596$	−141.540	−	435.614i	−0.237483	−	0.730896i
$597$	−97.0403	+	190.452i	−0.162547	+	0.319016i
$598$	573.820	−	90.8842i	0.959566	−	0.151980i
$599$		−	170.870i		−	0.285259i	−0.989776	−	0.142630i	$-0.954444\pi$
$599$		−	170.870i		−	0.285259i	0.989776	−	0.142630i	$-0.0455558\pi$
$600$	170.100	+	310.641i	0.283499	+	0.517735i
$601$	236.135			0.392903			0.196452	−	0.980513i	$-0.437058\pi$
$601$	236.135			0.392903			0.196452	+	0.980513i	$0.437058\pi$
$602$	−14.3901	−	90.8555i	−0.0239038	−	0.150923i
$603$	−260.990	−	132.981i	−0.432819	−	0.220532i
$604$	380.057	−	123.488i	0.629233	−	0.204450i
$605$	477.942	−	302.750i	0.789986	−	0.500413i
$606$	5.85789	−	18.0287i	0.00966649	−	0.0297504i
$607$	−295.001	−	295.001i	−0.485998	−	0.485998i	0.421042	−	0.907041i	$-0.361664\pi$
$607$	−295.001	−	295.001i	−0.485998	−	0.485998i	−0.907041	+	0.421042i	$0.861664\pi$
$608$	−128.314	−	251.831i	−0.211043	−	0.414195i
$609$	53.4029	+	73.5028i	0.0876895	+	0.120694i
$610$	285.933	+	64.1650i	0.468742	+	0.105189i
$611$	−600.322	−	436.160i	−0.982524	−	0.713845i
$612$	−188.077	−	29.7884i	−0.307315	−	0.0486739i
$613$	112.568	−	710.725i	0.183634	−	1.15942i	−0.707848	−	0.706365i	$-0.750334\pi$
$613$	112.568	−	710.725i	0.183634	−	1.15942i	0.891482	−	0.453056i	$-0.149666\pi$
$614$	−57.6768	+	79.3852i	−0.0939361	+	0.129292i
$615$	47.5866	+	110.219i	0.0773766	+	0.179218i
$616$	−33.5501	+	24.3756i	−0.0544645	+	0.0395708i
$617$	−732.469	+	373.211i	−1.18715	+	0.604881i	−0.932154	−	0.362062i	$-0.882073\pi$
$617$	−732.469	+	373.211i	−1.18715	+	0.604881i	−0.254992	+	0.966943i	$0.582073\pi$
$618$	235.547	−	235.547i	0.381144	−	0.381144i
$619$	360.303	+	117.070i	0.582073	+	0.189127i	0.585229	−	0.810868i	$-0.301005\pi$
$619$	360.303	+	117.070i	0.582073	+	0.189127i	−0.00315628	+	0.999995i	$0.501005\pi$
$620$	−525.800	+	134.533i	−0.848065	+	0.216989i
$621$	−40.3235	−	124.103i	−0.0649332	−	0.199844i
$622$	−117.127	+	229.874i	−0.188307	+	0.369573i
$623$	298.249	−	47.2379i	0.478730	−	0.0758234i
$624$			38.5476i			0.0617749i
$625$	336.657	−	526.580i	0.538652	−	0.842528i
$626$	217.580			0.347572
$627$	−6.89581	−	43.5384i	−0.0109981	−	0.0694393i
$628$	−354.104	−	180.425i	−0.563860	−	0.287301i
$629$	821.961	−	267.071i	1.30678	−	0.424597i
$630$	8.69410	+	33.9794i	0.0138002	+	0.0539355i
$631$	−102.961	+	316.882i	−0.163171	+	0.502190i	−0.998897	−	0.0469574i	$-0.985048\pi$
$631$	−102.961	+	316.882i	−0.163171	+	0.502190i	0.835725	+	0.549148i	$0.185048\pi$
$632$	810.618	+	810.618i	1.28262	+	1.28262i
$633$	−294.158	−	577.319i	−0.464705	−	0.912036i
$634$	230.280	+	316.954i	0.363218	+	0.499927i
$635$	−786.470	+	339.554i	−1.23854	+	0.534731i
$636$	103.357	+	75.0929i	0.162510	+	0.118071i
$637$	−808.712	−	128.087i	−1.26956	−	0.201079i
$638$	−16.4083	+	103.598i	−0.0257184	+	0.162380i
$639$	6.45435	−	8.88365i	0.0101007	−	0.0139024i
$640$	72.3609	−	322.456i	0.113064	−	0.503837i
$641$	−340.793	+	247.601i	−0.531659	+	0.386273i	−0.820978	−	0.570960i	$-0.806571\pi$
$641$	−340.793	+	247.601i	−0.531659	+	0.386273i	0.289319	+	0.957233i	$0.406571\pi$
$642$	303.086	−	154.430i	0.472096	−	0.240545i
$643$	456.781	−	456.781i	0.710391	−	0.710391i	−0.256226	−	0.966617i	$-0.582479\pi$
$643$	456.781	−	456.781i	0.710391	−	0.710391i	0.966617	+	0.256226i	$0.0824792\pi$
$644$	−100.762	−	32.7394i	−0.156462	−	0.0508376i
$645$	182.313	+	287.812i	0.282657	+	0.446221i
$646$	98.7633	+	303.962i	0.152884	+	0.470530i
$647$	−19.6573	+	38.5797i	−0.0303823	+	0.0596286i	−0.905699	−	0.423922i	$-0.860653\pi$
$647$	−19.6573	+	38.5797i	−0.0303823	+	0.0596286i	0.875316	+	0.483551i	$0.160653\pi$
$648$	72.7052	−	11.5154i	0.112199	−	0.0177706i
$649$		−	89.0498i		−	0.137211i
$650$	507.291	−	277.780i	0.780448	−	0.427354i
$651$	−145.985			−0.224247
$652$	25.8003	+	162.897i	0.0395710	+	0.249842i
$653$	41.4282	+	21.1087i	0.0634428	+	0.0323257i	0.485424	−	0.874279i	$-0.338665\pi$
$653$	41.4282	+	21.1087i	0.0634428	+	0.0323257i	−0.421981	+	0.906605i	$0.638665\pi$
$654$	238.411	−	77.4643i	0.364542	−	0.118447i
$655$	130.386	+	8.31280i	0.199062	+	0.0126913i
$656$	−5.32394	+	16.3854i	−0.00811577	+	0.0249778i
$657$	163.305	+	163.305i	0.248561	+	0.248561i
$658$	−43.9886	−	86.3324i	−0.0668519	−	0.131204i
$659$	−92.1880	−	126.886i	−0.139891	−	0.192543i	0.733323	−	0.679880i	$-0.237968\pi$
$659$	−92.1880	−	126.886i	−0.139891	−	0.192543i	−0.873214	+	0.487337i	$0.837968\pi$
$660$	28.8274	−	48.6514i	0.0436778	−	0.0737142i
$661$	397.805	+	289.023i	0.601824	+	0.437251i	0.846526	−	0.532348i	$-0.178690\pi$
$661$	397.805	+	289.023i	0.601824	+	0.437251i	−0.244702	+	0.969598i	$0.578690\pi$
$662$	−556.131	−	88.0825i	−0.840077	−	0.133055i
$663$	−132.124	+	834.197i	−0.199282	+	1.25822i
$664$	100.908	−	138.888i	0.151970	−	0.209169i
$665$	−61.7157	+	54.3179i	−0.0928056	+	0.0816811i
$666$	−99.5172	+	72.3035i	−0.149425	+	0.108564i
$667$	−648.485	+	330.420i	−0.972242	+	0.495382i
$668$	−193.225	+	193.225i	−0.289259	+	0.289259i
$669$	165.266	+	53.6983i	0.247035	+	0.0802665i
$670$	−402.432	+	485.628i	−0.600645	+	0.724818i
$671$	−39.2721	−	120.867i	−0.0585277	−	0.180130i
$672$	44.2768	−	86.8981i	0.0658881	−	0.129313i
$673$	135.747	−	21.5002i	0.201705	−	0.0319469i	−0.0547645	−	0.998499i	$-0.517441\pi$
$673$	135.747	−	21.5002i	0.201705	−	0.0319469i	0.256469	+	0.966552i	$0.417441\pi$
$674$			217.531i			0.322746i
$675$	−79.4469	−	102.777i	−0.117699	−	0.152263i
$676$	−353.532			−0.522977
$677$	−116.940	−	738.328i	−0.172732	−	1.09059i	−0.909885	−	0.414861i	$-0.863830\pi$
$677$	−116.940	−	738.328i	−0.172732	−	1.09059i	0.737153	−	0.675726i	$-0.236170\pi$
$678$	−25.4040	−	12.9440i	−0.0374690	−	0.0190914i
$679$	60.7571	−	19.7412i	0.0894803	−	0.0290739i
$680$	−410.814	+	1035.06i	−0.604138	+	1.52215i
$681$	−12.6297	+	38.8701i	−0.0185457	+	0.0570779i
$682$	−119.173	−	119.173i	−0.174741	−	0.174741i
$683$	−76.7144	−	150.561i	−0.112320	−	0.220440i	0.828003	−	0.560724i	$-0.189477\pi$
$683$	−76.7144	−	150.561i	−0.112320	−	0.220440i	−0.940323	+	0.340284i	$0.889477\pi$
$684$	37.3416	+	51.3964i	0.0545930	+	0.0751409i
$685$	99.0776	+	1057.58i	0.144639	+	1.54392i
$686$	−179.190	−	130.189i	−0.261209	−	0.189780i
$687$	−121.943	−	19.3138i	−0.177500	−	0.0281133i
$688$	−7.64853	+	48.2909i	−0.0111170	+	0.0701903i
$689$	333.068	−	458.428i	0.483407	−	0.665353i
$690$	−279.744	+	26.2073i	−0.405426	+	0.0379816i
$691$	805.662	−	585.348i	1.16594	−	0.847103i	0.175420	−	0.984494i	$-0.443872\pi$
$691$	805.662	−	585.348i	1.16594	−	0.847103i	0.990517	+	0.137391i	$0.0438717\pi$
$692$	−46.8937	+	23.8935i	−0.0677655	+	0.0345282i
$693$	10.7557	−	10.7557i	0.0155205	−	0.0155205i
$694$	47.7083	+	15.5014i	0.0687439	+	0.0223363i
$695$	185.849	+	73.7629i	0.267409	+	0.106134i
$696$	−126.874	−	390.477i	−0.182290	−	0.561030i
$697$	−171.376	+	336.344i	−0.245876	+	0.482560i
$698$	−281.078	+	44.5185i	−0.402691	+	0.0637800i
$699$		−	397.861i		−	0.569186i
$700$	−105.425	+	3.13637i	−0.150607	+	0.00448053i
$701$	−444.962			−0.634753			−0.317376	−	0.948300i	$-0.602802\pi$
$701$	−444.962			−0.634753			−0.317376	+	0.948300i	$0.602802\pi$
$702$	−18.8051	−	118.731i	−0.0267879	−	0.169132i
$703$	−256.913	−	130.904i	−0.365452	−	0.186207i
$704$	120.328	−	39.0970i	0.170921	−	0.0555355i
$705$	276.317	+	228.980i	0.391940	+	0.324794i
$706$	−120.284	+	370.195i	−0.170373	+	0.524356i
$707$	10.8420	+	10.8420i	0.0153352	+	0.0153352i
$708$	58.2642	+	114.350i	0.0822941	+	0.161511i
$709$	−110.671	−	152.325i	−0.156094	−	0.214845i	0.723806	−	0.690003i	$-0.242391\pi$
$709$	−110.671	−	152.325i	−0.156094	−	0.214845i	−0.879900	+	0.475158i	$0.842391\pi$
$710$	−15.6210	−	17.7485i	−0.0220015	−	0.0249979i
$711$	−340.179	−	247.154i	−0.478451	−	0.347615i
$712$	−1347.79	−	213.469i	−1.89296	−	0.299815i
$713$	182.942	−	1155.05i	0.256580	−	1.61998i
$714$	−64.8236	+	89.2221i	−0.0907894	+	0.124961i
$715$	−215.789	−	127.861i	−0.301802	−	0.178827i
$716$	−475.849	+	345.724i	−0.664593	+	0.482855i
$717$	469.007	−	238.971i	0.654125	−	0.333293i
$718$	217.671	−	217.671i	0.303163	−	0.303163i
$719$	40.6847	+	13.2193i	0.0565852	+	0.0183856i	0.337173	−	0.941443i	$-0.390529\pi$
$719$	40.6847	+	13.2193i	0.0565852	+	0.0183856i	−0.280588	+	0.959828i	$0.590529\pi$
$720$	1.18614	−	18.6045i	0.00164742	−	0.0258396i
$721$	83.2609	+	256.251i	0.115480	+	0.355410i
$722$	−163.324	+	320.542i	−0.226211	+	0.443964i
$723$	−131.429	+	20.8163i	−0.181783	+	0.0287916i
$724$			612.718i			0.846296i
$725$	−496.869	+	527.339i	−0.685336	+	0.727364i
$726$	−253.196			−0.348755
$727$	59.7654	+	377.344i	0.0822082	+	0.519042i	0.994087	+	0.108583i	$0.0346314\pi$
$727$	59.7654	+	377.344i	0.0822082	+	0.519042i	−0.911879	+	0.410459i	$0.865369\pi$
$728$	−236.196	−	120.348i	−0.324445	−	0.165313i
$729$	−25.6785	+	8.34346i	−0.0352243	+	0.0114451i
$730$	420.086	−	266.101i	0.575460	−	0.364522i
$731$	−331.039	+	1018.83i	−0.452858	+	1.39375i
$732$	129.512	+	129.512i	0.176928	+	0.176928i
$733$	119.985	+	235.483i	0.163690	+	0.321260i	0.958253	−	0.285922i	$-0.0922999\pi$
$733$	119.985	+	235.483i	0.163690	+	0.321260i	−0.794563	+	0.607182i	$0.792300\pi$
$734$	−532.151	−	732.443i	−0.725002	−	0.997879i
$735$	386.374	+	86.7046i	0.525679	+	0.117965i
$736$	632.063	+	459.220i	0.858781	+	0.623941i
$737$	270.155	+	42.7884i	0.366561	+	0.0580576i
$738$	8.40486	−	53.0662i	0.0113887	−	0.0719054i
$739$	−283.341	+	389.986i	−0.383412	+	0.527721i	−0.956484	−	0.291784i	$-0.905751\pi$
$739$	−283.341	+	389.986i	−0.383412	+	0.527721i	0.573073	+	0.819505i	$0.305751\pi$
$740$	−146.622	−	339.604i	−0.198138	−	0.458925i
$741$	227.964	−	165.625i	0.307643	−	0.223516i
$742$	65.9266	−	33.5913i	0.0888499	−	0.0452713i
$743$	265.405	−	265.405i	0.357207	−	0.357207i	−0.505575	−	0.862783i	$-0.668720\pi$
$743$	265.405	−	265.405i	0.357207	−	0.357207i	0.862783	+	0.505575i	$0.168720\pi$
$744$	627.417	+	203.860i	0.843303	+	0.274006i
$745$	951.835	−	243.540i	1.27763	−	0.326900i
$746$	219.921	+	676.847i	0.294800	+	0.907301i
$747$	−28.5873	+	56.1057i	−0.0382695	+	0.0751081i
$748$	175.625	−	27.8163i	0.234793	−	0.0371875i
$749$			275.138i			0.367340i
$750$	−253.386	+	118.458i	−0.337847	+	0.157943i
$751$	−518.509			−0.690425			−0.345213	−	0.938525i	$-0.612193\pi$
$751$	−518.509			−0.690425			−0.345213	+	0.938525i	$0.612193\pi$
$752$	8.05637	+	50.8659i	0.0107133	+	0.0676408i
$753$	−5.08894	−	2.59294i	−0.00675821	−	0.00344348i
$754$	−637.666	+	207.190i	−0.845711	+	0.274788i
$755$	212.480	+	830.440i	0.281430	+	1.09992i
$756$	−6.77421	+	20.8489i	−0.00896060	+	0.0275779i
$757$	−378.952	−	378.952i	−0.500598	−	0.500598i	0.411026	−	0.911624i	$-0.365171\pi$
$757$	−378.952	−	378.952i	−0.500598	−	0.500598i	−0.911624	+	0.411026i	$0.865171\pi$
$758$	−199.125	−	390.805i	−0.262698	−	0.515574i
$759$	71.6220	+	98.5792i	0.0943636	+	0.129880i
$760$	341.096	−	147.266i	0.448810	−	0.193771i
$761$	−280.723	−	203.957i	−0.368886	−	0.268012i	0.387863	−	0.921717i	$-0.373214\pi$
$761$	−280.723	−	203.957i	−0.368886	−	0.268012i	−0.756749	+	0.653706i	$0.773214\pi$
$762$	378.654	+	59.9729i	0.496922	+	0.0787047i
$763$	−31.7189	+	200.265i	−0.0415712	+	0.262470i
$764$	−484.322	+	666.612i	−0.633929	+	0.872529i
$765$	89.4369	−	398.550i	0.116911	−	0.520980i
$766$	246.869	−	179.361i	0.322283	−	0.234152i
$767$	507.188	−	258.425i	0.661262	−	0.336930i
$768$	−325.835	+	325.835i	−0.424264	+	0.424264i
$769$	−359.323	−	116.751i	−0.467260	−	0.151822i	0.0659183	−	0.997825i	$-0.479002\pi$
$769$	−359.323	−	116.751i	−0.467260	−	0.151822i	−0.533178	+	0.846003i	$0.679002\pi$
$770$	−17.5262	−	27.6681i	−0.0227613	−	0.0359326i
$771$	−127.650	−	392.867i	−0.165565	−	0.509555i
$772$	184.826	−	362.741i	0.239412	−	0.469872i
$773$	−1356.16	+	214.795i	−1.75441	+	0.277871i	−0.949099	−	0.314979i	$-0.898003\pi$
$773$	−1356.16	+	214.795i	−1.75441	+	0.277871i	−0.805313	+	0.592850i	$0.798003\pi$
$774$		−	152.473i		−	0.196993i
$775$	−216.233	−	1143.94i	−0.279011	−	1.47605i
$776$	−288.691			−0.372025
$777$	−15.5646	−	98.2712i	−0.0200317	−	0.126475i
$778$	813.814	+	414.659i	1.04603	+	0.532980i
$779$	119.776	−	38.9175i	0.153756	−	0.0499583i
$780$	360.755	+	23.0001i	0.462506	+	0.0294873i
$781$	−3.16860	+	9.75196i	−0.00405711	+	0.0124865i
$782$	−624.702	−	624.702i	−0.798851	−	0.798851i
$783$	68.3682	+	134.180i	0.0873157	+	0.171367i
$784$	33.4020	+	45.9739i	0.0426046	+	0.0586402i
$785$	434.564	−	733.405i	0.553584	−	0.934274i
$786$	−47.3035	−	34.3680i	−0.0601826	−	0.0437252i
$787$	121.855	+	19.2999i	0.154835	+	0.0245234i	0.233370	−	0.972388i	$-0.425025\pi$
$787$	121.855	+	19.2999i	0.154835	+	0.0245234i	−0.0785359	+	0.996911i	$0.525025\pi$
$788$	−28.5103	+	180.007i	−0.0361806	+	0.228435i
$789$	106.491	−	146.573i	0.134970	−	0.185770i
$790$	−679.638	+	598.171i	−0.860302	+	0.757178i
$791$	18.6571	−	13.5552i	0.0235868	−	0.0171368i
$792$	−61.2461	+	31.2064i	−0.0773309	+	0.0394021i
$793$	574.436	−	574.436i	0.724383	−	0.724383i
$794$	227.337	+	73.8662i	0.286318	+	0.0930305i
$795$	−174.857	+	211.006i	−0.219946	+	0.265417i
$796$	88.8917	+	273.580i	0.111673	+	0.343694i
$797$	−132.075	+	259.211i	−0.165715	+	0.325234i	−0.958899	−	0.283748i	$-0.908422\pi$
$797$	−132.075	+	259.211i	−0.165715	+	0.325234i	0.793184	+	0.608982i	$0.208422\pi$
$798$	36.3408	−	5.75581i	0.0455398	−	0.00721280i
$799$			1128.39i			1.41225i
$800$	746.519	+	218.240i	0.933148	+	0.272800i
$801$	500.518			0.624866
$802$	−131.806	−	832.188i	−0.164346	−	1.03764i
$803$	−192.153	−	97.9066i	−0.239293	−	0.121926i
$804$	−374.906	+	121.814i	−0.466301	+	0.151510i
$805$	83.8372	−	211.232i	0.104146	−	0.262399i
$806$	332.913	−	1024.60i	0.413043	−	1.27122i
$807$	406.683	+	406.683i	0.503945	+	0.503945i
$808$	−31.4568	−	61.7374i	−0.0389317	−	0.0764077i
$809$	−791.643	−	1089.60i	−0.978545	−	1.34685i	−0.937610	−	0.347689i	$-0.886966\pi$
$809$	−791.643	−	1089.60i	−0.978545	−	1.34685i	−0.0409347	−	0.999162i	$-0.513034\pi$
$810$	5.42263	+	57.8827i	0.00669460	+	0.0714601i
$811$	351.764	+	255.572i	0.433742	+	0.315132i	0.783143	−	0.621841i	$-0.213615\pi$
$811$	351.764	+	255.572i	0.433742	+	0.315132i	−0.349402	+	0.936973i	$0.613615\pi$
$812$	120.765	+	19.1272i	0.148725	+	0.0235557i
$813$	42.6646	−	269.374i	0.0524780	−	0.331333i
$814$	67.5166	−	92.9287i	0.0829443	−	0.114163i
$815$	−352.234	+	32.9983i	−0.432189	+	0.0404888i
$816$	47.4227	−	34.4546i	0.0581160	−	0.0422238i
$817$	318.447	−	162.257i	0.389776	−	0.198601i
$818$	−552.215	+	552.215i	−0.675079	+	0.675079i
$819$	92.4732	+	30.0464i	0.112910	+	0.0366867i
$820$	150.169	+	59.6018i	0.183133	+	0.0726851i
$821$	−86.2266	−	265.378i	−0.105026	−	0.323238i	0.884710	−	0.466141i	$-0.154356\pi$
$821$	−86.2266	−	265.378i	−0.105026	−	0.323238i	−0.989737	+	0.142903i	$0.954356\pi$
$822$	215.816	−	423.562i	0.262550	−	0.515283i
$823$	821.134	−	130.055i	0.997733	−	0.158025i	0.363853	−	0.931457i	$-0.381461\pi$
$823$	821.134	−	130.055i	0.997733	−	0.158025i	0.633880	+	0.773431i	$0.281461\pi$
$824$		−	1217.59i		−	1.47766i
$825$	100.213	+	68.3506i	0.121471	+	0.0828493i
$826$	74.3284			0.0899859
$827$	−76.1777	−	480.967i	−0.0921133	−	0.581580i	−0.989968	−	0.141289i	$-0.954875\pi$
$827$	−76.1777	−	480.967i	−0.0921133	−	0.581580i	0.897855	−	0.440291i	$-0.145125\pi$
$828$	−156.470	−	79.7253i	−0.188973	−	0.0962866i
$829$	718.878	−	233.578i	0.867163	−	0.281758i	0.158546	−	0.987352i	$-0.449319\pi$
$829$	718.878	−	233.578i	0.867163	−	0.281758i	0.708617	+	0.705593i	$0.249319\pi$
$830$	104.397	+	86.5121i	0.125780	+	0.104231i
$831$	−267.061	+	821.929i	−0.321373	+	0.989084i
$832$	571.875	+	571.875i	0.687350	+	0.687350i
$833$	565.265	+	1109.40i	0.678590	+	1.33181i
$834$	−52.5980	−	72.3949i	−0.0630671	−	0.0868044i
$835$	−387.264	−	440.007i	−0.463789	−	0.526955i
$836$	−47.9937	−	34.8694i	−0.0574087	−	0.0417099i
$837$	−238.995	−	37.8530i	−0.285537	−	0.0452247i
$838$	−60.0070	+	378.869i	−0.0716074	+	0.452111i
$839$	170.239	−	234.314i	0.202907	−	0.279278i	−0.695421	−	0.718602i	$-0.744782\pi$
$839$	170.239	−	234.314i	0.202907	−	0.279278i	0.898328	+	0.439325i	$0.144782\pi$
$840$	110.294	+	65.3524i	0.131302	+	0.0778005i
$841$	−0.854051	+	0.620504i	−0.00101552	+	0.000737817i
$842$	−636.244	+	324.182i	−0.755634	+	0.385015i
$843$	44.0835	−	44.0835i	0.0522936	−	0.0522936i
$844$	−829.305	−	269.458i	−0.982589	−	0.319263i
$845$	48.2505	−	756.805i	0.0571011	−	0.895628i
$846$	−49.6291	−	152.743i	−0.0586632	−	0.180547i
$847$	92.9759	−	182.475i	0.109771	−	0.215437i
$848$	−38.8431	+	6.15214i	−0.0458055	+	0.00725488i
$849$		−	736.689i		−	0.867713i
$850$	−795.163	−	375.803i	−0.935486	−	0.442122i
$851$	797.039			0.936591
$852$	−2.31174	−	14.5958i	−0.00271332	−	0.0171312i
$853$	458.038	+	233.382i	0.536973	+	0.273601i	0.701375	−	0.712792i	$-0.252570\pi$
$853$	458.038	+	233.382i	0.536973	+	0.273601i	−0.164403	+	0.986393i	$0.552570\pi$
$854$	100.886	−	32.7797i	0.118133	−	0.0383837i
$855$	−115.120	+	72.9225i	−0.134644	+	0.0852895i
$856$	384.216	−	1182.50i	0.448851	−	1.38142i
$857$	794.073	+	794.073i	0.926572	+	0.926572i	0.997483	−	0.0709103i	$-0.0225904\pi$
$857$	794.073	+	794.073i	0.926572	+	0.926572i	−0.0709103	+	0.997483i	$0.522590\pi$
$858$	50.9615	+	100.018i	0.0593957	+	0.116571i
$859$	439.811	+	605.348i	0.512004	+	0.704713i	0.984256	−	0.176751i	$-0.0565587\pi$
$859$	439.811	+	605.348i	0.512004	+	0.704713i	−0.472252	+	0.881464i	$0.656559\pi$
$860$	447.376	+	100.394i	0.520205	+	0.116737i
$861$	35.1578	+	25.5436i	0.0408337	+	0.0296674i
$862$	−287.780	−	45.5798i	−0.333851	−	0.0528768i
$863$	−145.813	+	920.624i	−0.168960	+	1.06677i	0.746801	+	0.665048i	$0.231589\pi$
$863$	−145.813	+	920.624i	−0.168960	+	1.06677i	−0.915761	+	0.401724i	$0.868411\pi$
$864$	95.0187	−	130.782i	0.109975	−	0.151368i
$865$	−44.7487	−	103.646i	−0.0517326	−	0.119822i
$866$	−202.384	+	147.040i	−0.233700	+	0.169793i
$867$	698.351	−	355.828i	0.805480	−	0.410413i
$868$	−138.920	+	138.920i	−0.160046	+	0.160046i
$869$	373.428	+	121.334i	0.429722	+	0.139625i
$870$	314.138	−	80.3765i	0.361078	−	0.0923868i
$871$	540.296	+	1662.86i	0.620317	+	1.90914i
$872$	415.982	−	816.411i	0.477044	−	0.936251i
$873$	104.586	−	16.5647i	0.119800	−	0.0189745i
$874$			294.746i			0.337238i
$875$	7.67444	−	226.110i	0.00877079	−	0.258412i
$876$	310.804			0.354800
$877$	−20.3449	−	128.453i	−0.0231983	−	0.146468i	0.973370	−	0.229238i	$-0.0736234\pi$
$877$	−20.3449	−	128.453i	−0.0231983	−	0.146468i	−0.996569	+	0.0827696i	$0.973623\pi$
$878$	830.987	+	423.409i	0.946455	+	0.482243i
$879$	34.6487	−	11.2580i	0.0394183	−	0.0128078i
$880$	4.31509	+	16.8648i	0.00490352	+	0.0191645i
$881$	−51.9927	+	160.017i	−0.0590155	+	0.181631i	−0.976218	−	0.216789i	$-0.930442\pi$
$881$	−51.9927	+	160.017i	−0.0590155	+	0.181631i	0.917203	+	0.398420i	$0.130442\pi$
$882$	−125.310	−	125.310i	−0.142075	−	0.142075i
$883$	−1.80087	−	3.53441i	−0.00203949	−	0.00400272i	0.889985	−	0.455991i	$-0.150715\pi$
$883$	−1.80087	−	3.53441i	−0.00203949	−	0.00400272i	−0.892024	+	0.451988i	$0.850715\pi$
$884$	668.099	+	919.559i	0.755768	+	1.04023i
$885$	−252.740	+	109.119i	−0.285582	+	0.123299i
$886$	480.362	+	349.004i	0.542170	+	0.393909i
$887$	702.101	+	111.202i	0.791546	+	0.125369i	0.539099	−	0.842242i	$-0.318765\pi$
$887$	702.101	+	111.202i	0.791546	+	0.125369i	0.252447	+	0.967611i	$0.418765\pi$
$888$	−70.3366	+	444.088i	−0.0792079	+	0.500099i
$889$	−182.267	+	250.869i	−0.205024	+	0.282192i
$890$	235.976	−	1051.56i	0.265141	−	1.18153i
$891$	20.3973	−	14.8195i	0.0228926	−	0.0166325i
$892$	208.369	−	106.169i	0.233597	−	0.119024i
$893$	266.197	−	266.197i	0.298093	−	0.298093i
$894$	−418.179	−	135.875i	−0.467762	−	0.151985i
$895$	−675.147	−	1065.83i	−0.754354	−	1.19087i
$896$	−36.9667	−	113.772i	−0.0412575	−	0.126978i
$897$	−353.614	+	694.007i	−0.394219	+	0.773698i
$898$	−97.4292	+	15.4313i	−0.108496	+	0.0171840i
$899$			1349.62i			1.50125i
$900$	−173.406	−	22.2014i	−0.192674	−	0.0246682i
$901$	−861.679			−0.956358
$902$	7.84842	+	49.5530i	0.00870113	+	0.0549368i
$903$	109.885	+	55.9893i	0.121689	+	0.0620037i
$904$	−99.1143	+	32.2042i	−0.109640	+	0.0356241i
$905$	−1311.64	−	83.6244i	−1.44933	−	0.0924026i
$906$	118.546	−	364.846i	0.130845	−	0.402699i
$907$	−126.631	−	126.631i	−0.139615	−	0.139615i	0.633845	−	0.773460i	$-0.281476\pi$
$907$	−126.631	−	126.631i	−0.139615	−	0.139615i	−0.773460	+	0.633845i	$0.781476\pi$
$908$	24.9706	+	49.0076i	0.0275007	+	0.0539731i
$909$	14.9384	+	20.5610i	0.0164339	+	0.0226193i
$910$	106.723	−	180.115i	0.117279	−	0.197929i
$911$	−877.720	−	637.701i	−0.963469	−	0.700001i	−0.00951505	−	0.999955i	$-0.503029\pi$
$911$	−877.720	−	637.701i	−0.963469	−	0.700001i	−0.953954	+	0.299954i	$0.903029\pi$
$912$	−19.3156	−	3.05929i	−0.0211794	−	0.00335448i
$913$	9.19836	−	58.0762i	0.0100749	−	0.0636102i
$914$	329.936	−	454.118i	0.360980	−	0.496846i
$915$	−294.921	+	259.569i	−0.322318	+	0.283682i
$916$	−134.421	+	97.6626i	−0.146748	+	0.106619i
$917$	42.1388	−	21.4708i	0.0459529	−	0.0234142i
$918$	−129.259	+	129.259i	−0.140805	+	0.140805i
$919$	−863.424	−	280.543i	−0.939526	−	0.305270i	−0.201073	−	0.979576i	$-0.564443\pi$
$919$	−863.424	−	280.543i	−0.939526	−	0.305270i	−0.738452	+	0.674306i	$0.764443\pi$
$920$	−655.292	+	790.763i	−0.712274	+	0.859525i
$921$	−40.6529	−	125.117i	−0.0441399	−	0.135849i
$922$	−245.617	+	482.050i	−0.266395	+	0.522830i
$923$	−64.7382	+	10.2535i	−0.0701389	+	0.0111089i
$924$		−	20.4705i		−	0.0221542i
$925$	747.001	−	267.524i	0.807569	−	0.289216i
$926$	445.106			0.480676
$927$	69.8638	+	441.103i	0.0753655	+	0.475839i
$928$	−803.368	−	409.337i	−0.865698	−	0.441095i
$929$	−1502.39	+	488.157i	−1.61721	+	0.525465i	−0.971282	−	0.237930i	$-0.923531\pi$
$929$	−1502.39	+	488.157i	−1.61721	+	0.525465i	−0.645932	+	0.763395i	$0.723531\pi$
$930$	−192.204	+	484.267i	−0.206671	+	0.520718i
$931$	128.365	−	395.068i	0.137879	−	0.424348i
$932$	−378.608	−	378.608i	−0.406232	−	0.406232i
$933$	−157.030	−	308.189i	−0.168307	−	0.330321i
$934$	−134.457	−	185.064i	−0.143958	−	0.198141i
$935$	35.5767	+	379.756i	0.0380500	+	0.406157i
$936$	−355.476	−	258.268i	−0.379782	−	0.275928i
$937$	1561.57	+	247.329i	1.66657	+	0.263959i	0.917268	−	0.398271i	$-0.130390\pi$
$937$	1561.57	+	247.329i	1.66657	+	0.263959i	0.749301	+	0.662230i	$0.230390\pi$
$938$	−35.7148	+	225.494i	−0.0380754	+	0.240399i
$939$	−171.460	+	235.995i	−0.182599	+	0.251326i
$940$	480.845	−	45.0470i	0.511537	−	0.0479224i
$941$	911.873	−	662.515i	0.969047	−	0.704054i	0.0138127	−	0.999905i	$-0.495603\pi$
$941$	911.873	−	662.515i	0.969047	−	0.704054i	0.955234	+	0.295851i	$0.0956031\pi$
$942$	−339.931	+	173.204i	−0.360861	+	0.183868i
$943$	−246.163	+	246.163i	−0.261042	+	0.261042i
$944$	−37.5729	−	12.2082i	−0.0398018	−	0.0129324i
$945$	−43.7066	−	17.3470i	−0.0462503	−	0.0183566i
$946$	43.9973	+	135.410i	0.0465088	+	0.143139i
$947$	−165.795	+	325.391i	−0.175074	+	0.343602i	−0.961824	−	0.273670i	$-0.911762\pi$
$947$	−165.795	+	325.391i	−0.175074	+	0.343602i	0.786750	+	0.617272i	$0.211762\pi$
$948$	−558.911	+	88.5228i	−0.589569	+	0.0933785i
$949$		−	1378.54i		−	1.45263i
$950$	98.9308	+	276.242i	0.104138	+	0.290781i
$951$	−525.249			−0.552312
$952$	63.0603	+	398.147i	0.0662398	+	0.418221i
$953$	444.297	+	226.381i	0.466209	+	0.237545i	0.671283	−	0.741201i	$-0.265743\pi$
$953$	444.297	+	226.381i	0.466209	+	0.237545i	−0.205074	+	0.978746i	$0.565743\pi$
$954$	116.640	−	37.8986i	0.122264	−	0.0397260i
$955$	−1360.91	−	1127.77i	−1.42504	−	1.18091i
$956$	218.904	−	673.719i	0.228980	−	0.704727i
$957$	−99.4360	−	99.4360i	−0.103904	−	0.103904i
$958$	211.387	+	414.870i	0.220654	+	0.433059i
$959$	226.007	+	311.071i	0.235669	+	0.324370i
$960$	−258.412	−	293.606i	−0.269179	−	0.305839i
$961$	−976.942	−	709.790i	−1.01659	−	0.738595i
$962$	725.216	+	114.863i	0.753863	+	0.119400i
$963$	−71.3417	+	450.434i	−0.0740828	+	0.467740i
$964$	−105.260	+	144.878i	−0.109191	+	0.150288i
$965$	751.294	+	445.163i	0.778543	+	0.461309i
$966$	−82.2823	+	59.7816i	−0.0851784	+	0.0618857i
$967$	−1282.13	+	653.279i	−1.32589	+	0.675573i	−0.966271	−	0.257527i	$-0.917092\pi$
$967$	−1282.13	+	653.279i	−1.32589	+	0.675573i	−0.359616	+	0.933100i	$0.617092\pi$
$968$	−654.412	+	654.412i	−0.676046	+	0.676046i
$969$	−407.517	−	132.410i	−0.420555	−	0.136646i
$970$	14.5068	−	227.538i	0.0149554	−	0.234575i
$971$	−415.272	−	1278.08i	−0.427675	−	1.31625i	−0.900410	−	0.435043i	$-0.856733\pi$
$971$	−415.272	−	1278.08i	−0.427675	−	1.31625i	0.472735	−	0.881204i	$-0.343267\pi$
$972$	−16.4962	+	32.3756i	−0.0169714	+	0.0333083i
$973$	71.4885	−	11.3227i	0.0734722	−	0.0116369i
$974$			566.142i			0.581255i
$975$	−98.4723	+	769.127i	−0.100997	+	0.788848i
$976$	−56.3815			−0.0577680
$977$	147.737	+	932.776i	0.151215	+	0.954735i	0.940274	+	0.340418i	$0.110568\pi$
$977$	147.737	+	932.776i	0.151215	+	0.954735i	−0.789059	+	0.614317i	$0.789432\pi$
$978$	141.070	+	71.8787i	0.144243	+	0.0734956i
$979$	−444.506	+	144.429i	−0.454041	+	0.147527i
$980$	450.186	−	285.168i	0.459373	−	0.290988i
$981$	−103.855	+	319.633i	−0.105867	+	0.325824i
$982$	−542.409	−	542.409i	−0.552352	−	0.552352i
$983$	−0.210533	−	0.413194i	−0.000214174	−	0.000420339i	0.890899	−	0.454201i	$-0.150075\pi$
$983$	−0.210533	−	0.413194i	−0.000214174	−	0.000420339i	−0.891114	+	0.453780i	$0.850075\pi$
$984$	−115.432	−	158.878i	−0.117309	−	0.161462i
$985$	−381.450	−	85.5995i	−0.387258	−	0.0869031i
$986$	824.853	+	599.291i	0.836565	+	0.607800i
$987$	128.304	+	20.3213i	0.129994	+	0.0205890i
$988$	59.3218	−	374.543i	0.0600423	−	0.379092i
$989$	−580.698	+	799.262i	−0.587156	+	0.808151i
$990$	−21.5183	−	49.8404i	−0.0217357	−	0.0503439i
$991$	293.072	−	212.929i	0.295734	−	0.214863i	−0.430017	−	0.902821i	$-0.641492\pi$
$991$	293.072	−	212.929i	0.295734	−	0.214863i	0.725751	+	0.687958i	$0.241492\pi$
$992$	1290.85	−	657.721i	1.30126	−	0.663025i
$993$	533.788	−	533.788i	0.537551	−	0.537551i
$994$	−8.13979	−	2.64478i	−0.00818892	−	0.00266074i
$995$	−597.785	+	152.952i	−0.600789	+	0.153720i
$996$	26.1868	+	80.5946i	0.0262920	+	0.0809183i
$997$	160.391	−	314.785i	0.160874	−	0.315732i	−0.796473	−	0.604674i	$-0.793303\pi$
$997$	160.391	−	314.785i	0.160874	−	0.315732i	0.957347	+	0.288942i	$0.0933034\pi$
$998$	601.256	−	95.2296i	0.602461	−	0.0954205i
$999$		−	164.918i		−	0.165083i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	75.3.k.a.37.4	✓	80
3.2	odd	2		225.3.r.b.37.7		80
5.2	odd	4		375.3.k.b.43.7		80
5.3	odd	4		375.3.k.c.43.4		80
5.4	even	2		375.3.k.a.82.7		80
25.2	odd	20		375.3.k.a.343.7		80
25.11	even	5		375.3.k.c.157.4		80
25.14	even	10		375.3.k.b.157.7		80
25.23	odd	20	inner	75.3.k.a.73.4	yes	80
75.23	even	20		225.3.r.b.73.7		80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
75.3.k.a.37.4	✓	80	1.1	even	1	trivial
75.3.k.a.73.4	yes	80	25.23	odd	20	inner
225.3.r.b.37.7		80	3.2	odd	2
225.3.r.b.73.7		80	75.23	even	20
375.3.k.a.82.7		80	5.4	even	2
375.3.k.a.343.7		80	25.2	odd	20
375.3.k.b.43.7		80	5.2	odd	4
375.3.k.b.157.7		80	25.14	even	10
375.3.k.c.43.4		80	5.3	odd	4
375.3.k.c.157.4		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)

\(f(q)\)	\(=\)	\(q+(-0.202100 - 1.27601i) q^{2} +(1.54327 + 0.786335i) q^{3} +(2.21687 - 0.720305i) q^{4} +(1.23939 + 4.84396i) q^{5} +(0.691476 - 2.12814i) q^{6} +(1.27981 + 1.27981i) q^{7} +(-3.71321 - 7.28759i) q^{8} +(1.76336 + 2.42705i) q^{9} +O(q^{10})\)	\(q+(-0.202100 - 1.27601i) q^{2} +(1.54327 + 0.786335i) q^{3} +(2.21687 - 0.720305i) q^{4} +(1.23939 + 4.84396i) q^{5} +(0.691476 - 2.12814i) q^{6} +(1.27981 + 1.27981i) q^{7} +(-3.71321 - 7.28759i) q^{8} +(1.76336 + 2.42705i) q^{9} +(5.93045 - 2.56044i) q^{10} +(-2.26637 - 1.64661i) q^{11} +(3.98763 + 0.631578i) q^{12} +(2.80131 - 17.6867i) q^{13} +(1.37440 - 1.89170i) q^{14} +(-1.89625 + 8.45010i) q^{15} +(-1.00546 + 0.730511i) q^{16} +(-24.2628 + 12.3625i) q^{17} +(2.74057 - 2.74057i) q^{18} +(8.64024 + 2.80738i) q^{19} +(6.23670 + 9.84568i) q^{20} +(0.968731 + 2.98145i) q^{21} +(-1.64306 + 3.22469i) q^{22} +(-24.8036 + 3.92850i) q^{23} -14.1665i q^{24} +(-21.9278 + 12.0071i) q^{25} -23.1346 q^{26} +(0.812857 + 5.13218i) q^{27} +(3.75903 + 1.91532i) q^{28} +(27.5633 - 8.95587i) q^{29} +(11.1656 + 0.711870i) q^{30} +(-14.3903 + 44.2887i) q^{31} +(-21.9985 - 21.9985i) q^{32} +(-2.20283 - 4.32329i) q^{33} +(20.6782 + 28.4611i) q^{34} +(-4.61315 + 7.78553i) q^{35} +(5.65735 + 4.11030i) q^{36} +(-31.3477 - 4.96498i) q^{37} +(1.83606 - 11.5924i) q^{38} +(18.2309 - 25.0926i) q^{39} +(30.6986 - 27.0188i) q^{40} +(11.2150 - 8.14820i) q^{41} +(3.60858 - 1.83866i) q^{42} +(27.8178 - 27.8178i) q^{43} +(-6.21031 - 2.01785i) q^{44} +(-9.57103 + 11.5497i) q^{45} +(10.0256 + 30.8556i) q^{46} +(18.8125 - 36.9215i) q^{47} +(-2.12612 + 0.336745i) q^{48} -45.7242i q^{49} +(19.7528 + 25.5534i) q^{50} -47.1651 q^{51} +(-6.52972 - 41.2270i) q^{52} +(28.1946 + 14.3659i) q^{53} +(6.38443 - 2.07443i) q^{54} +(5.16720 - 13.0190i) q^{55} +(4.57452 - 14.0789i) q^{56} +(11.1267 + 11.1267i) q^{57} +(-16.9983 - 33.3611i) q^{58} +(18.6844 + 25.7169i) q^{59} +(1.88290 + 20.0987i) q^{60} +(36.7017 + 26.6654i) q^{61} +(59.4210 + 9.41137i) q^{62} +(-0.849404 + 5.36292i) q^{63} +(-26.5465 + 36.5381i) q^{64} +(89.1457 - 8.35144i) q^{65} +(-5.07137 + 3.68456i) q^{66} +(-86.9965 + 44.3269i) q^{67} +(-44.8827 + 44.8827i) q^{68} +(-41.3677 - 13.4412i) q^{69} +(10.8667 + 4.31297i) q^{70} +(-1.13108 - 3.48112i) q^{71} +(11.1396 - 21.8628i) q^{72} +(76.0348 - 12.0427i) q^{73} +41.0033i q^{74} +(-43.2821 + 1.28764i) q^{75} +21.1765 q^{76} +(-0.793169 - 5.00787i) q^{77} +(-35.7029 - 18.1915i) q^{78} +(-133.301 + 43.3122i) q^{79} +(-4.78473 - 3.96502i) q^{80} +(-2.78115 + 8.55951i) q^{81} +(-12.6637 - 12.6637i) q^{82} +(9.52910 + 18.7019i) q^{83} +(4.29510 + 5.91170i) q^{84} +(-89.9546 - 102.206i) q^{85} +(-41.1177 - 29.8738i) q^{86} +(49.5799 + 7.85269i) q^{87} +(-3.58433 + 22.6306i) q^{88} +(98.0657 - 134.976i) q^{89} +(16.6718 + 9.87854i) q^{90} +(26.2208 - 19.0505i) q^{91} +(-52.1566 + 26.5751i) q^{92} +(-57.0338 + 57.0338i) q^{93} +(-50.9142 - 16.5430i) q^{94} +(-2.89019 + 45.3324i) q^{95} +(-16.6514 - 51.2478i) q^{96} +(16.0242 - 31.4493i) q^{97} +(-58.3445 + 9.24086i) q^{98} -8.40416i 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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