LMFDB - Embedded newform 175.4.x.a.103.24

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [175,4,Mod(3,175)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(175, base_ring=CyclotomicField(60))

chi = DirichletCharacter(H, H._module([21, 10]))

N = Newforms(chi, 4, names="a")

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

chi := DirichletCharacter("175.3");

S:= CuspForms(chi, 4);

N := Newforms(S);

Level:	$ N $	$=$	$ 175 = 5^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 4 $
Character orbit:	$[\chi]$	$=$	175.x (of order $60$, degree $16$, 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:	$10.3253342510$
Analytic rank:	$0$
Dimension:	$928$
Relative dimension:	$58$ over $\Q(\zeta_{60})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label			103.24
Character	$\chi$	$=$	175.103
Dual form			175.4.x.a.17.24

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.21241 - 0.0635399i) q^{2} +(3.22285 + 3.97989i) q^{3} +(-6.49026 - 0.682154i) q^{4} +(8.85943 + 6.81986i) q^{5} +(-3.65455 - 5.03006i) q^{6} +(10.7362 - 15.0908i) q^{7} +(17.4186 + 2.75883i) q^{8} +(0.160861 - 0.756792i) q^{9} +(-10.3080 - 8.83142i) q^{10} +(25.0894 - 5.33292i) q^{11} +(-18.2023 - 28.0290i) q^{12} +(2.21201 + 1.12707i) q^{13} +(-13.9756 + 17.6142i) q^{14} +(1.41037 + 57.2390i) q^{15} +(30.1240 + 6.40305i) q^{16} +(6.65998 + 17.3498i) q^{17} +(-0.243117 + 0.907324i) q^{18} +(13.6886 + 130.238i) q^{19} +(-52.8479 - 50.3062i) q^{20} +(94.6612 - 5.90658i) q^{21} +(-30.7576 + 4.87153i) q^{22} +(1.98637 - 37.9023i) q^{23} +(45.1577 + 78.2154i) q^{24} +(31.9791 + 120.840i) q^{25} +(-2.61025 - 1.50703i) q^{26} +(126.731 - 64.5727i) q^{27} +(-79.9752 + 90.6198i) q^{28} +(-27.5382 + 37.9031i) q^{29} +(1.92701 - 69.4870i) q^{30} +(-45.2923 + 101.728i) q^{31} +(-172.394 - 46.1929i) q^{32} +(102.084 + 82.6659i) q^{33} +(-6.97225 - 21.4584i) q^{34} +(198.034 - 60.4769i) q^{35} +(-1.56028 + 4.80204i) q^{36} +(-96.5601 + 62.7068i) q^{37} +(-8.32092 - 158.773i) q^{38} +(2.64334 + 12.4359i) q^{39} +(135.504 + 143.234i) q^{40} +(463.033 - 150.448i) q^{41} +(-115.144 + 1.14646i) q^{42} +(91.2438 + 91.2438i) q^{43} +(-166.475 + 17.4972i) q^{44} +(6.58635 - 5.60770i) q^{45} +(-4.81662 + 45.8270i) q^{46} +(201.454 + 77.3311i) q^{47} +(71.6017 + 140.526i) q^{48} +(-112.467 - 324.037i) q^{49} +(-31.0938 - 148.540i) q^{50} +(-47.5863 + 82.4220i) q^{51} +(-13.5877 - 8.82393i) q^{52} +(-232.151 + 187.993i) q^{53} +(-157.754 + 70.2364i) q^{54} +(258.648 + 123.859i) q^{55} +(228.643 - 233.242i) q^{56} +(-474.218 + 474.218i) q^{57} +(35.7961 - 44.2045i) q^{58} +(-313.460 + 348.132i) q^{59} +(29.8922 - 372.458i) q^{60} +(490.372 - 441.533i) q^{61} +(61.3768 - 120.459i) q^{62} +(-9.69358 - 10.5526i) q^{63} +(-28.2391 - 9.17544i) q^{64} +(11.9106 + 25.0708i) q^{65} +(-118.515 - 106.712i) q^{66} +(-142.751 + 54.7969i) q^{67} +(-31.3898 - 117.148i) q^{68} +(157.249 - 114.248i) q^{69} +(-243.942 + 60.7400i) q^{70} +(-557.789 - 405.257i) q^{71} +(4.88983 - 12.7385i) q^{72} +(108.656 - 167.316i) q^{73} +(121.055 - 69.8912i) q^{74} +(-377.866 + 516.723i) q^{75} -854.619i q^{76} +(188.887 - 435.876i) q^{77} +(-2.41464 - 15.2455i) q^{78} +(-528.116 - 1186.17i) q^{79} +(223.214 + 262.169i) q^{80} +(646.344 + 287.771i) q^{81} +(-570.947 + 152.985i) q^{82} +(-60.7388 + 383.490i) q^{83} +(-618.405 - 26.2382i) q^{84} +(-59.3198 + 199.130i) q^{85} +(-104.828 - 116.423i) q^{86} +(-239.602 + 12.5570i) q^{87} +(451.735 - 23.6744i) q^{88} +(-1002.48 - 1113.37i) q^{89} +(-8.34169 + 6.38036i) q^{90} +(40.7571 - 21.2805i) q^{91} +(-38.7473 + 244.641i) q^{92} +(-550.837 + 147.596i) q^{93} +(-239.332 - 106.558i) q^{94} +(-766.933 + 1247.19i) q^{95} +(-371.758 - 834.983i) q^{96} +(84.4782 + 533.374i) q^{97} +(115.768 + 400.014i) q^{98} -19.8453i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 928 q - 8 q^{2} - 24 q^{3} - 10 q^{4} - 24 q^{7} + 84 q^{8} - 10 q^{9} - 96 q^{10} - 6 q^{11} - 72 q^{12} - 20 q^{14} - 368 q^{15} - 1670 q^{16} + 120 q^{17} - 14 q^{18} - 30 q^{19} - 12 q^{21} - 880 q^{22}+ \cdots - 19478 q^{98}+O(q^{100}) $ 928 * q - 8 * q^2 - 24 * q^3 - 10 * q^4 - 24 * q^7 + 84 * q^8 - 10 * q^9 - 96 * q^10 - 6 * q^11 - 72 * q^12 - 20 * q^14 - 368 * q^15 - 1670 * q^16 + 120 * q^17 - 14 * q^18 - 30 * q^19 - 12 * q^21 - 880 * q^22 + 296 * q^23 + 32 * q^25 - 48 * q^26 + 226 * q^28 - 200 * q^29 - 38 * q^30 - 18 * q^31 - 964 * q^32 - 1092 * q^33 + 288 * q^35 + 7400 * q^36 - 392 * q^37 + 5424 * q^38 + 2430 * q^39 + 2172 * q^40 - 2098 * q^42 + 1560 * q^43 - 10 * q^44 - 4224 * q^45 - 6 * q^46 + 96 * q^47 + 6232 * q^50 - 16 * q^51 - 8928 * q^52 - 2384 * q^53 - 30 * q^54 + 244 * q^56 + 1556 * q^57 + 640 * q^58 + 4890 * q^59 + 3676 * q^60 - 18 * q^61 + 224 * q^63 - 9700 * q^64 - 1116 * q^65 - 2610 * q^66 - 2404 * q^67 - 13614 * q^68 - 1700 * q^70 - 24 * q^71 - 518 * q^72 - 4200 * q^73 - 16104 * q^75 - 722 * q^77 - 356 * q^78 - 10 * q^79 + 6414 * q^80 - 6810 * q^81 + 1692 * q^82 + 20620 * q^84 + 2712 * q^85 - 6 * q^86 + 9102 * q^87 + 1650 * q^88 + 20370 * q^89 - 12 * q^91 + 1612 * q^92 - 4604 * q^93 - 30 * q^94 + 1652 * q^95 - 2610 * q^96 - 19478 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/175\mathbb{Z}\right)^\times$.

$n$	$101$	$127$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{7}{20}\right)$

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 $

$2$	−1.21241	−	0.0635399i	−0.428653	−	0.0224648i	−0.163210	−	0.986591i	$-0.552185\pi$
$2$	−1.21241	−	0.0635399i	−0.428653	−	0.0224648i	−0.265443	+	0.964127i	$0.585518\pi$
$3$	3.22285	+	3.97989i	0.620238	+	0.765930i	0.986354	−	0.164639i	$-0.0526459\pi$
$3$	3.22285	+	3.97989i	0.620238	+	0.765930i	−0.366116	+	0.930569i	$0.619313\pi$
$4$	−6.49026	−	0.682154i	−0.811283	−	0.0852693i
$5$	8.85943	+	6.81986i	0.792412	+	0.609986i
$5$	8.85943	+	6.81986i	0.792412	+	0.609986i
$6$	−3.65455	−	5.03006i	−0.248661	−	0.342252i
$7$	10.7362	−	15.0908i	0.579701	−	0.814829i
$7$	10.7362	−	15.0908i	0.579701	−	0.814829i
$8$	17.4186	+	2.75883i	0.769800	+	0.121924i
$9$	0.160861	−	0.756792i	0.00595782	−	0.0280293i
$10$	−10.3080	−	8.83142i	−0.325967	−	0.279274i
$11$	25.0894	−	5.33292i	0.687704	−	0.146176i	0.149210	−	0.988806i	$-0.452327\pi$
$11$	25.0894	−	5.33292i	0.687704	−	0.146176i	0.538494	+	0.842630i	$0.318994\pi$
$12$	−18.2023	−	28.0290i	−0.437878	−	0.674273i
$13$	2.21201	+	1.12707i	0.0471923	+	0.0240457i	0.477427	−	0.878671i	$-0.341569\pi$
$13$	2.21201	+	1.12707i	0.0471923	+	0.0240457i	−0.430235	+	0.902717i	$0.641569\pi$
$14$	−13.9756	+	17.6142i	−0.266796	+	0.336256i
$15$	1.41037	+	57.2390i	0.0242770	+	0.985269i
$16$	30.1240	+	6.40305i	0.470687	+	0.100048i
$17$	6.65998	+	17.3498i	0.0950166	+	0.247527i	0.972849	−	0.231442i	$-0.0743442\pi$
$17$	6.65998	+	17.3498i	0.0950166	+	0.247527i	−0.877832	+	0.478968i	$0.841011\pi$
$18$	−0.243117	+	0.907324i	−0.00318351	+	0.0118810i
$19$	13.6886	+	130.238i	0.165283	+	1.57256i	0.691603	+	0.722277i	$0.256905\pi$
$19$	13.6886	+	130.238i	0.165283	+	1.57256i	−0.526320	+	0.850286i	$0.676429\pi$
$20$	−52.8479	−	50.3062i	−0.590857	−	0.562440i
$21$	94.6612	−	5.90658i	0.983655	−	0.0613772i
$22$	−30.7576	+	4.87153i	−0.298070	+	0.0472097i
$23$	1.98637	−	37.9023i	0.0180082	−	0.343616i	−0.974735	−	0.223364i	$-0.928296\pi$
$23$	1.98637	−	37.9023i	0.0180082	−	0.343616i	0.992743	−	0.120252i	$-0.0383704\pi$
$24$	45.1577	+	78.2154i	0.384074	+	0.665236i
$25$	31.9791	+	120.840i	0.255833	+	0.966721i
$26$	−2.61025	−	1.50703i	−0.0196889	−	0.0113674i
$27$	126.731	−	64.5727i	0.903311	−	0.460260i
$28$	−79.9752	+	90.6198i	−0.539782	+	0.611626i
$29$	−27.5382	+	37.9031i	−0.176335	+	0.242704i	−0.888031	−	0.459783i	$-0.847927\pi$
$29$	−27.5382	+	37.9031i	−0.176335	+	0.242704i	0.711696	+	0.702487i	$0.247927\pi$
$30$	1.92701	−	69.4870i	0.0117274	−	0.422884i
$31$	−45.2923	+	101.728i	−0.262411	+	0.589384i	−0.995915	−	0.0903011i	$-0.971217\pi$
$31$	−45.2923	+	101.728i	−0.262411	+	0.589384i	0.733504	+	0.679685i	$0.237884\pi$
$32$	−172.394	−	46.1929i	−0.952353	−	0.255182i
$33$	102.084	+	82.6659i	0.538500	+	0.436069i
$34$	−6.97225	−	21.4584i	−0.0351686	−	0.108238i
$35$	198.034	−	60.4769i	0.956397	−	0.292070i
$36$	−1.56028	+	4.80204i	−0.00722351	+	0.0222317i
$37$	−96.5601	+	62.7068i	−0.429037	+	0.278620i	−0.741040	−	0.671461i	$-0.765667\pi$
$37$	−96.5601	+	62.7068i	−0.429037	+	0.278620i	0.312002	+	0.950081i	$0.399000\pi$
$38$	−8.32092	−	158.773i	−0.0355219	−	0.677798i
$39$	2.64334	+	12.4359i	0.0108531	+	0.0510601i
$40$	135.504	+	143.234i	0.535627	+	0.566182i
$41$	463.033	−	150.448i	1.76375	−	0.573076i	0.766168	−	0.642641i	$-0.222161\pi$
$41$	463.033	−	150.448i	1.76375	−	0.573076i	0.997577	+	0.0695651i	$0.0221612\pi$
$42$	−115.144	+	1.14646i	−0.423026	+	0.00421196i
$43$	91.2438	+	91.2438i	0.323594	+	0.323594i	0.850144	−	0.526550i	$-0.176515\pi$
$43$	91.2438	+	91.2438i	0.323594	+	0.323594i	−0.526550	+	0.850144i	$0.676515\pi$
$44$	−166.475	+	17.4972i	−0.570387	+	0.0599500i
$45$	6.58635	−	5.60770i	0.0218185	−	0.0185766i
$46$	−4.81662	+	45.8270i	−0.0154385	+	0.146888i
$47$	201.454	+	77.3311i	0.625215	+	0.239998i	0.650288	−	0.759688i	$-0.274648\pi$
$47$	201.454	+	77.3311i	0.625215	+	0.239998i	−0.0250724	+	0.999686i	$0.507982\pi$
$48$	71.6017	+	140.526i	0.215309	+	0.422567i
$49$	−112.467	−	324.037i	−0.327893	−	0.944715i
$50$	−31.0938	−	148.540i	−0.0879466	−	0.420135i
$51$	−47.5863	+	82.4220i	−0.130655	+	0.226302i
$52$	−13.5877	−	8.82393i	−0.0362359	−	0.0235319i
$53$	−232.151	+	187.993i	−0.601669	+	0.487222i	−0.881091	−	0.472946i	$-0.843190\pi$
$53$	−232.151	+	187.993i	−0.601669	+	0.487222i	0.279422	+	0.960168i	$0.409857\pi$
$54$	−157.754	+	70.2364i	−0.397547	+	0.176999i
$55$	258.648	+	123.859i	0.634110	+	0.303658i
$56$	228.643	−	233.242i	0.545602	−	0.556576i
$57$	−474.218	+	474.218i	−1.10196	+	1.10196i
$58$	35.7961	−	44.2045i	0.0810389	−	0.100075i
$59$	−313.460	+	348.132i	−0.691678	+	0.768186i	−0.982028	−	0.188734i	$-0.939561\pi$
$59$	−313.460	+	348.132i	−0.691678	+	0.768186i	0.290350	+	0.956920i	$0.406228\pi$
$60$	29.8922	−	372.458i	0.0643177	−	0.801402i
$61$	490.372	−	441.533i	1.02927	−	0.926763i	0.0319225	−	0.999490i	$-0.489837\pi$
$61$	490.372	−	441.533i	1.02927	−	0.926763i	0.997352	+	0.0727276i	$0.0231704\pi$
$62$	61.3768	−	120.459i	0.125724	−	0.246746i
$63$	−9.69358	−	10.5526i	−0.0193853	−	0.0211032i
$64$	−28.2391	−	9.17544i	−0.0551545	−	0.0179208i
$65$	11.9106	+	25.0708i	0.0227282	+	0.0478407i
$66$	−118.515	−	106.712i	−0.221034	−	0.199020i
$67$	−142.751	+	54.7969i	−0.260295	+	0.0999179i	−0.485016	−	0.874505i	$-0.661186\pi$
$67$	−142.751	+	54.7969i	−0.260295	+	0.0999179i	0.224721	+	0.974423i	$0.427853\pi$
$68$	−31.3898	−	117.148i	−0.0559789	−	0.208916i
$69$	157.249	−	114.248i	0.274355	−	0.199331i
$70$	−243.942	+	60.7400i	−0.416524	+	0.103712i
$71$	−557.789	−	405.257i	−0.932357	−	0.677397i	0.0142121	−	0.999899i	$-0.495476\pi$
$71$	−557.789	−	405.257i	−0.932357	−	0.677397i	−0.946569	+	0.322502i	$0.895476\pi$
$72$	4.88983	−	12.7385i	0.00800379	−	0.0208506i
$73$	108.656	−	167.316i	0.174209	−	0.268258i	−0.740771	−	0.671758i	$-0.765540\pi$
$73$	108.656	−	167.316i	0.174209	−	0.268258i	0.914980	+	0.403500i	$0.132206\pi$
$74$	121.055	−	69.8912i	0.190167	−	0.109793i
$75$	−377.866	+	516.723i	−0.581763	+	0.795548i
$76$		−	854.619i		−	1.28989i
$77$	188.887	−	435.876i	0.279554	−	0.645099i
$78$	−2.41464	−	15.2455i	−0.00350519	−	0.0221309i
$79$	−528.116	−	1186.17i	−0.752123	−	1.68930i	−0.724107	−	0.689688i	$-0.757748\pi$
$79$	−528.116	−	1186.17i	−0.752123	−	1.68930i	−0.0280161	−	0.999607i	$-0.508919\pi$
$80$	223.214	+	262.169i	0.311950	+	0.366392i
$81$	646.344	+	287.771i	0.886617	+	0.394747i
$82$	−570.947	+	152.985i	−0.768909	+	0.206029i
$83$	−60.7388	+	383.490i	−0.0803247	+	0.507150i	0.914420	+	0.404766i	$0.132647\pi$
$83$	−60.7388	+	383.490i	−0.0803247	+	0.507150i	−0.994745	+	0.102384i	$0.967353\pi$
$84$	−618.405	−	26.2382i	−0.803256	−	0.0340813i
$85$	−59.3198	+	199.130i	−0.0756957	+	0.254102i
$86$	−104.828	−	116.423i	−0.131440	−	0.145979i
$87$	−239.602	+	12.5570i	−0.295264	+	0.0154742i
$88$	451.735	−	23.6744i	0.547217	−	0.0286784i
$89$	−1002.48	−	1113.37i	−1.19396	−	1.32603i	−0.932653	−	0.360774i	$-0.882513\pi$
$89$	−1002.48	−	1113.37i	−1.19396	−	1.32603i	−0.261309	−	0.965255i	$-0.584154\pi$
$90$	−8.34169	+	6.38036i	−0.00976991	+	0.00747276i
$91$	40.7571	−	21.2805i	0.0469506	−	0.0245143i
$92$	−38.7473	+	244.641i	−0.0439096	+	0.277234i
$93$	−550.837	+	147.596i	−0.614184	+	0.164570i
$94$	−239.332	−	106.558i	−0.262609	−	0.116921i
$95$	−766.933	+	1247.19i	−0.828270	+	1.34694i
$96$	−371.758	−	834.983i	−0.395234	−	0.887709i
$97$	84.4782	+	533.374i	0.0884274	+	0.558309i	0.991632	+	0.129098i	$0.0412082\pi$
$97$	84.4782	+	533.374i	0.0884274	+	0.558309i	−0.903204	+	0.429211i	$0.858792\pi$
$98$	115.768	+	400.014i	0.119329	+	0.412321i
$99$		−	19.8453i		−	0.0201467i
$100$	−125.121	−	806.099i	−0.125121	−	0.806099i
$101$	−769.068	+	444.022i	−0.757675	+	0.437444i	−0.828460	−	0.560048i	$-0.810783\pi$
$101$	−769.068	+	444.022i	−0.757675	+	0.437444i	0.0707854	+	0.997492i	$0.477449\pi$
$102$	62.9315	−	96.9060i	0.0610896	−	0.0940698i
$103$	219.664	−	572.244i	0.210137	−	0.547426i	−0.787486	−	0.616332i	$-0.788618\pi$
$103$	219.664	−	572.244i	0.210137	−	0.547426i	0.997623	+	0.0689068i	$0.0219511\pi$
$104$	35.4206	+	25.7346i	0.0333969	+	0.0242643i
$105$	878.926	+	593.246i	0.816899	+	0.551380i
$106$	293.409	−	213.174i	0.268853	−	0.195333i
$107$	−177.573	−	662.712i	−0.160436	−	0.598755i	−0.998578	−	0.0533038i	$-0.983025\pi$
$107$	−177.573	−	662.712i	−0.160436	−	0.598755i	0.838142	−	0.545452i	$-0.183642\pi$
$108$	−866.567	+	332.644i	−0.772087	+	0.296377i
$109$	746.559	+	672.205i	0.656031	+	0.590693i	0.928437	−	0.371489i	$-0.121153\pi$
$109$	746.559	+	672.205i	0.656031	+	0.590693i	−0.272406	+	0.962182i	$0.587819\pi$
$110$	−305.718	−	166.603i	−0.264992	−	0.144409i
$111$	−560.765	−	182.204i	−0.479509	−	0.155802i
$112$	420.045	−	385.852i	0.354380	−	0.325532i
$113$	653.220	−	1282.02i	0.543803	−	1.06727i	−0.441628	−	0.897198i	$-0.645599\pi$
$113$	653.220	−	1282.02i	0.543803	−	1.06727i	0.985431	−	0.170076i	$-0.0544012\pi$
$114$	605.080	−	544.817i	0.497114	−	0.447603i
$115$	276.086	−	322.246i	0.223871	−	0.261301i
$116$	204.586	−	227.216i	0.163753	−	0.181866i
$117$	1.20878	−	1.49272i	0.000955147	−	0.00117951i
$118$	402.164	−	402.164i	0.313747	−	0.313747i
$119$	333.327	+	85.7670i	0.256773	+	0.0660693i
$120$	−133.346	+	1000.91i	−0.101440	+	0.761420i
$121$	−614.891	+	273.767i	−0.461977	+	0.205685i
$122$	−622.589	+	504.163i	−0.462021	+	0.374137i
$123$	2091.05	+	1357.95i	1.53288	+	0.995463i
$124$	363.353	−	629.346i	0.263146	−	0.455782i
$125$	−540.795	+	1288.67i	−0.386961	+	0.922096i
$126$	11.0821	+	13.4101i	0.00783551	+	0.00948146i
$127$	744.230	+	1460.63i	0.519998	+	1.02055i	0.990417	+	0.138110i	$0.0441028\pi$
$127$	744.230	+	1460.63i	0.519998	+	1.02055i	−0.470419	+	0.882443i	$0.655897\pi$
$128$	1366.63	+	524.598i	0.943701	+	0.362253i
$129$	−69.0751	+	657.206i	−0.0471451	+	0.448556i
$130$	−12.8476	−	31.1530i	−0.00866779	−	0.0210177i
$131$	2274.63	−	239.073i	1.51706	−	0.159449i	0.690927	−	0.722924i	$-0.257203\pi$
$131$	2274.63	−	239.073i	1.51706	−	0.159449i	0.826133	+	0.563475i	$0.190536\pi$
$132$	−606.160	−	606.160i	−0.399693	−	0.399693i
$133$	2112.37	+	1191.69i	1.37719	+	0.776940i
$134$	176.555	−	57.3661i	0.113821	−	0.0369827i
$135$	1563.14	+	292.210i	0.996547	+	0.186292i
$136$	68.1422	+	320.584i	0.0429643	+	0.202131i
$137$	79.8997	+	1524.58i	0.0498269	+	0.950755i	0.903137	+	0.429352i	$0.141258\pi$
$137$	79.8997	+	1524.58i	0.0498269	+	0.950755i	−0.853310	+	0.521403i	$0.825409\pi$
$138$	−197.910	+	128.524i	−0.122081	+	0.0792805i
$139$	922.623	−	2839.54i	0.562992	−	1.73271i	−0.110853	−	0.993837i	$-0.535358\pi$
$139$	922.623	−	2839.54i	0.562992	−	1.73271i	0.673845	−	0.738873i	$-0.264642\pi$
$140$	−1326.55	+	257.421i	−0.800813	+	0.155400i
$141$	341.488	+	1050.99i	0.203961	+	0.627727i
$142$	650.521	+	526.781i	0.384440	+	0.311313i
$143$	61.5085	+	16.4811i	0.0359692	+	0.00963792i
$144$	9.69155	−	21.7676i	0.00560854	−	0.0125970i
$145$	−502.467	+	147.993i	−0.287776	+	0.0847599i
$146$	−142.368	+	195.952i	−0.0807015	+	0.111076i
$147$	927.168	−	1491.93i	0.520214	−	0.837091i
$148$	669.476	−	341.115i	0.371828	−	0.189456i
$149$	869.615	+	502.073i	0.478132	+	0.276050i	0.719638	−	0.694350i	$-0.244308\pi$
$149$	869.615	+	502.073i	0.478132	+	0.276050i	−0.241506	+	0.970399i	$0.577641\pi$
$150$	490.963	−	602.473i	0.267247	−	0.327945i
$151$	−444.627	−	770.117i	−0.239624	−	0.415041i	0.720982	−	0.692953i	$-0.243691\pi$
$151$	−444.627	−	770.117i	−0.239624	−	0.415041i	−0.960606	+	0.277912i	$0.910358\pi$
$152$	−120.870	+	2306.33i	−0.0644989	+	1.23071i
$153$	14.2015	−	2.24930i	0.00750410	−	0.00118853i
$154$	−256.705	+	516.460i	−0.134324	+	0.270244i
$155$	−1095.04	+	592.367i	−0.567454	+	0.306968i
$156$	−8.67274	−	82.5156i	−0.00445112	−	0.0423496i
$157$	−625.516	+	2334.46i	−0.317972	+	1.18669i	0.603218	+	0.797576i	$0.293885\pi$
$157$	−625.516	+	2334.46i	−0.317972	+	1.18669i	−0.921190	+	0.389112i	$0.872782\pi$
$158$	564.926	+	1471.68i	0.284450	+	0.741018i
$159$	−1496.38	−	318.065i	−0.746356	−	0.158643i
$160$	−1212.29	−	1584.95i	−0.598998	−	0.783132i
$161$	−550.651	−	436.903i	−0.269549	−	0.213868i
$162$	−765.352	−	389.966i	−0.371183	−	0.189127i
$163$	−843.269	−	1298.52i	−0.405214	−	0.623975i	0.575874	−	0.817539i	$-0.304662\pi$
$163$	−843.269	−	1298.52i	−0.405214	−	0.623975i	−0.981088	+	0.193564i	$0.937995\pi$
$164$	−3107.83	+	660.590i	−1.47976	+	0.314533i
$165$	340.636	+	1428.57i	0.160718	+	0.674024i
$166$	98.0075	−	461.089i	0.0458245	−	0.215587i
$167$	−3146.88	−	498.417i	−1.45816	−	0.230950i	−0.623548	−	0.781785i	$-0.714310\pi$
$167$	−3146.88	−	498.417i	−1.45816	−	0.230950i	−0.834615	+	0.550834i	$0.814310\pi$
$168$	1665.16	+	158.270i	0.764701	+	0.0726834i
$169$	−1287.74	−	1772.42i	−0.586136	−	0.806747i
$170$	84.5728	−	237.659i	0.0381555	−	0.107221i
$171$	100.765	+	10.5908i	0.0450626	+	0.00473627i
$172$	−529.954	−	654.439i	−0.234934	−	0.290119i
$173$	−2126.82	−	111.462i	−0.934677	−	0.0489844i	−0.421087	−	0.907020i	$-0.638351\pi$
$173$	−2126.82	−	111.462i	−0.934677	−	0.0489844i	−0.513590	+	0.858036i	$0.671685\pi$
$174$	291.295			0.126914
$175$	2166.91	+	814.774i	0.936019	+	0.351949i
$176$	789.940			0.338318
$177$	−2395.76	−	125.557i	−1.01738	−	0.0533187i
$178$	1144.68	+	1413.56i	0.482007	+	0.595229i
$179$	102.025	+	10.7233i	0.0426018	+	0.00447763i	0.125805	−	0.992055i	$-0.459849\pi$
$179$	102.025	+	10.7233i	0.0426018	+	0.00447763i	−0.0832036	+	0.996533i	$0.526515\pi$
$180$	−46.5724	+	31.9025i	−0.0192850	+	0.0132104i
$181$	−360.881	−	496.711i	−0.148200	−	0.203979i	0.728463	−	0.685085i	$-0.240235\pi$
$181$	−360.881	−	496.711i	−0.148200	−	0.203979i	−0.876662	+	0.481106i	$0.840235\pi$
$182$	−50.7666	+	23.2111i	−0.0206762	+	0.00945342i
$183$	3337.65	+	528.632i	1.34823	+	0.213539i
$184$	139.166	−	654.724i	0.0557579	−	0.262320i
$185$	−1283.12	−	102.979i	−0.509929	−	0.0409250i
$186$	677.221	−	143.948i	0.266969	−	0.0567461i
$187$	259.620	+	399.780i	0.101526	+	0.156336i
$188$	−1254.74	−	639.322i	−0.486762	−	0.248018i
$189$	386.156	−	2605.75i	0.148617	−	1.00286i
$190$	1009.09	−	1463.38i	0.385299	−	0.558763i
$191$	7.49241	+	1.59256i	0.00283839	+	0.000603317i	0.209331	−	0.977845i	$-0.432871\pi$
$191$	7.49241	+	1.59256i	0.00283839	+	0.000603317i	−0.206492	+	0.978448i	$0.566205\pi$
$192$	−54.4932	−	141.960i	−0.0204828	−	0.0533596i
$193$	705.472	−	2632.86i	0.263114	−	0.981955i	−0.700281	−	0.713868i	$-0.746942\pi$
$193$	705.472	−	2632.86i	0.263114	−	0.981955i	0.963395	−	0.268087i	$-0.0863916\pi$
$194$	−68.5320	−	652.038i	−0.0253624	−	0.241307i
$195$	−61.3927	+	128.202i	−0.0225458	+	0.0470809i
$196$	508.898	+	2179.81i	0.185459	+	0.794390i
$197$	−3512.10	+	556.262i	−1.27019	+	0.201178i	−0.754900	−	0.655840i	$-0.772315\pi$
$197$	−3512.10	+	556.262i	−1.27019	+	0.201178i	−0.515287	+	0.857018i	$0.672315\pi$
$198$	−1.26097	+	24.0607i	−0.000452592	+	0.00863597i
$199$	1480.92	+	2565.03i	0.527536	+	0.913719i	0.999485	+	0.0320928i	$0.0102172\pi$
$199$	1480.92	+	2565.03i	0.527536	+	0.913719i	−0.471949	+	0.881626i	$0.656449\pi$
$200$	223.654	+	2193.09i	0.0790736	+	0.775374i
$201$	−678.150	−	391.530i	−0.237975	−	0.137395i
$202$	960.643	−	489.472i	0.334607	−	0.170491i
$203$	276.334	+	822.511i	0.0955409	+	0.284379i
$204$	365.072	−	502.479i	0.125295	−	0.172454i
$205$	5128.24	+	1824.93i	1.74718	+	0.621749i
$206$	−302.684	+	679.839i	−0.102374	+	0.229935i
$207$	−28.3646	−	7.60027i	−0.00952403	−	0.00255196i
$208$	59.4177	+	48.1155i	0.0198071	+	0.0160395i
$209$	1037.99	+	3194.60i	0.343537	+	1.05730i
$210$	−1027.93	−	775.107i	−0.337780	−	0.254702i
$211$	296.499	−	912.530i	0.0967385	−	0.297730i	−0.890964	−	0.454073i	$-0.849970\pi$
$211$	296.499	−	912.530i	0.0967385	−	0.297730i	0.987703	+	0.156343i	$0.0499705\pi$
$212$	1634.96	−	1061.76i	0.529669	−	0.343971i
$213$	−184.791	−	3526.02i	−0.0594444	−	1.13427i
$214$	173.184	+	814.765i	0.0553205	+	0.260263i
$215$	186.099	+	1430.64i	0.0590318	+	0.453808i
$216$	2385.62	−	775.136i	0.751486	−	0.244173i
$217$	1048.90	+	1775.67i	0.328128	+	0.555487i
$218$	−862.427	−	862.427i	−0.267940	−	0.267940i
$219$	1016.08	−	106.794i	0.313518	−	0.0329521i
$220$	−1594.20	−	980.318i	−0.488550	−	0.300423i
$221$	−4.82263	+	45.8842i	−0.00146790	+	0.0139661i
$222$	668.302	+	256.537i	0.202043	+	0.0775570i
$223$	−1936.47	−	3800.53i	−0.581504	−	1.14127i	−0.975055	−	0.221963i	$-0.928753\pi$
$223$	−1936.47	−	3800.53i	−0.581504	−	1.14127i	0.393551	−	0.919303i	$-0.371247\pi$
$224$	−2547.95	+	2105.64i	−0.760010	+	0.628075i
$225$	96.5950	−	4.76308i	0.0286207	−	0.00141128i
$226$	−873.433	+	1512.83i	−0.257079	+	0.445274i
$227$	−4661.22	−	3027.03i	−1.36289	−	0.885072i	−0.363965	−	0.931412i	$-0.618577\pi$
$227$	−4661.22	−	3027.03i	−1.36289	−	0.885072i	−0.998926	+	0.0463406i	$0.985244\pi$
$228$	3401.29	−	2754.31i	0.987964	−	0.800038i
$229$	1878.47	−	836.350i	0.542065	−	0.241343i	−0.117391	−	0.993086i	$-0.537453\pi$
$229$	1878.47	−	836.350i	0.542065	−	0.241343i	0.659456	+	0.751743i	$0.270787\pi$
$230$	−355.206	+	373.153i	−0.101833	+	0.106978i
$231$	2343.49	−	653.013i	0.667491	−	0.185996i
$232$	−584.245	+	584.245i	−0.165334	+	0.165334i
$233$	−4071.52	+	5027.90i	−1.14478	+	1.41369i	−0.249391	+	0.968403i	$0.580230\pi$
$233$	−4071.52	+	5027.90i	−1.14478	+	1.41369i	−0.895390	+	0.445283i	$0.853103\pi$
$234$	−1.56040	+	1.73299i	−0.000435924	+	0.000484143i
$235$	1257.38	+	2059.00i	0.349033	+	0.571550i
$236$	2271.92	−	2045.64i	0.626649	−	0.564237i
$237$	3018.78	−	5924.69i	0.827387	−	1.62384i
$238$	−398.681	−	125.165i	−0.108582	−	0.0340892i
$239$	−2278.86	−	740.445i	−0.616765	−	0.200399i	−0.0160616	−	0.999871i	$-0.505113\pi$
$239$	−2278.86	−	740.445i	−0.616765	−	0.200399i	−0.600704	+	0.799472i	$0.705113\pi$
$240$	−324.018	+	1733.30i	−0.0871470	+	0.466182i
$241$	1264.72	+	1138.76i	0.338040	+	0.304372i	0.820614	−	0.571483i	$-0.193632\pi$
$241$	1264.72	+	1138.76i	0.338040	+	0.304372i	−0.482574	+	0.875855i	$0.660298\pi$
$242$	762.898	−	292.849i	0.202648	−	0.0777895i
$243$	−56.1706	−	209.631i	−0.0148286	−	0.0553410i
$244$	−3483.84	+	2531.16i	−0.914057	+	0.664101i
$245$	1213.49	−	3637.80i	0.316437	−	0.948613i
$246$	−2448.94	−	1779.26i	−0.634710	−	0.461144i
$247$	−116.509	+	303.516i	−0.0300133	+	0.0781872i
$248$	−1069.58	+	1647.01i	−0.273864	+	0.421714i
$249$	−1722.00	+	994.197i	−0.438262	+	0.253031i
$250$	737.550	−	1528.04i	0.186587	−	0.386566i
$251$		−	1344.99i		−	0.338227i	−0.985597	−	0.169114i	$-0.945910\pi$
$251$		−	1344.99i		−	0.338227i	0.985597	−	0.169114i	$-0.0540905\pi$
$252$	55.7154	+	75.1017i	0.0139275	+	0.0187737i
$253$	−152.293	−	961.538i	−0.0378441	−	0.238938i
$254$	−809.506	−	1818.18i	−0.199972	−	0.449145i
$255$	−983.694	+	405.680i	−0.241574	+	0.0996262i
$256$	−1406.58	−	626.250i	−0.343404	−	0.152893i
$257$	63.5841	−	17.0373i	0.0154329	−	0.00413524i	−0.251094	−	0.967963i	$-0.580790\pi$
$257$	63.5841	−	17.0373i	0.0154329	−	0.00413524i	0.266527	+	0.963827i	$0.414124\pi$
$258$	125.506	−	792.417i	0.0302856	−	0.191216i
$259$	−90.3908	+	2130.41i	−0.0216858	+	0.511108i
$260$	−60.2011	−	170.841i	−0.0143597	−	0.0407504i
$261$	24.2549	+	26.9378i	0.00575227	+	0.00638854i
$262$	−2772.98	+	145.326i	−0.653875	+	0.0342681i
$263$	−3113.68	+	163.181i	−0.730029	+	0.0382592i	−0.413729	−	0.910400i	$-0.635774\pi$
$263$	−3113.68	+	163.181i	−0.730029	+	0.0382592i	−0.316300	+	0.948659i	$0.602441\pi$
$264$	1550.10	+	1721.56i	0.361370	+	0.401342i
$265$	−3338.81	+	82.2682i	−0.773968	+	0.0190705i
$266$	−2485.35	−	1579.05i	−0.572881	−	0.363976i
$267$	1200.23	−	7577.97i	0.275105	−	1.73695i
$268$	963.869	−	258.268i	0.219693	−	0.0588665i
$269$	462.068	+	205.726i	0.104732	+	0.0466295i	0.458434	−	0.888729i	$-0.348411\pi$
$269$	462.068	+	205.726i	0.104732	+	0.0466295i	−0.353702	+	0.935358i	$0.615077\pi$
$270$	−1876.61	−	453.602i	−0.422988	−	0.102242i
$271$	−2386.46	−	5360.08i	−0.534934	−	1.20148i	−0.955708	−	0.294316i	$-0.904908\pi$
$271$	−2386.46	−	5360.08i	−0.534934	−	1.20148i	0.420774	−	0.907165i	$-0.361758\pi$
$272$	89.5332	+	565.291i	0.0199586	+	0.126014i
$273$	216.048	+	93.6246i	0.0478968	+	0.0207561i
$274$		−	1853.50i		−	0.408663i
$275$	1446.77	+	2861.26i	0.317249	+	0.627421i
$276$	−1098.52	+	634.231i	−0.239577	+	0.138320i
$277$	−1940.42	+	2987.99i	−0.420898	+	0.648126i	−0.983981	−	0.178274i	$-0.942949\pi$
$277$	−1940.42	+	2987.99i	−0.420898	+	0.648126i	0.563083	+	0.826400i	$0.309615\pi$
$278$	−1299.03	+	3384.08i	−0.280253	+	0.730084i
$279$	69.7012	+	50.6409i	0.0149566	+	0.0108666i
$280$	3616.32	−	507.079i	0.771845	−	0.108228i
$281$	−3912.84	+	2842.85i	−0.830679	+	0.603523i	−0.919751	−	0.392502i	$-0.871610\pi$
$281$	−3912.84	+	2842.85i	−0.830679	+	0.603523i	0.0890727	+	0.996025i	$0.471610\pi$
$282$	−347.245	−	1295.94i	−0.0733268	−	0.273659i
$283$	−1051.66	+	403.696i	−0.220901	+	0.0847960i	−0.466302	−	0.884626i	$-0.654414\pi$
$283$	−1051.66	+	403.696i	−0.220901	+	0.0847960i	0.245401	+	0.969422i	$0.421081\pi$
$284$	3343.75	+	3010.72i	0.698644	+	0.629062i
$285$	−7435.40	+	967.205i	−1.54539	+	0.201025i
$286$	−73.5265	−	23.8902i	−0.0152018	−	0.00493937i
$287$	2700.83	−	8602.80i	0.555487	−	1.76936i
$288$	−62.6899	+	123.036i	−0.0128265	+	0.0251735i
$289$	3394.41	−	3056.34i	0.690903	−	0.622092i
$290$	618.601	−	147.503i	0.125260	−	0.0298678i
$291$	−1850.51	+	2055.20i	−0.372780	+	0.414014i
$292$	−819.343	+	1011.80i	−0.164207	+	0.202779i
$293$	683.981	−	683.981i	0.136377	−	0.136377i	−0.635623	−	0.772000i	$-0.719257\pi$
$293$	683.981	−	683.981i	0.136377	−	0.136377i	0.772000	+	0.635623i	$0.219257\pi$
$294$	−1218.91	+	1749.93i	−0.241797	+	0.347135i
$295$	−5151.29	+	946.505i	−1.01668	+	0.186806i
$296$	−1854.94	+	825.872i	−0.364244	+	0.162172i
$297$	2835.25	−	2295.94i	0.553932	−	0.448565i
$298$	−1022.43	−	663.975i	−0.198751	−	0.129071i
$299$	47.1125	−	81.6012i	0.00911233	−	0.0157830i
$300$	2804.94	−	3095.91i	0.539810	−	0.595808i
$301$	2356.56	−	397.333i	0.451262	−	0.0760860i
$302$	490.139	+	961.952i	0.0933918	+	0.183292i
$303$	−4245.75	−	1629.79i	−0.804990	−	0.309007i
$304$	−421.567	+	4010.94i	−0.0795347	+	0.756722i
$305$	7355.61	−	567.466i	1.38092	−	0.106534i
$306$	−17.3611	+	1.82472i	−0.00324336	+	0.000340890i
$307$	3955.28	+	3955.28i	0.735309	+	0.735309i	0.971666	−	0.236357i	$-0.0759535\pi$
$307$	3955.28	+	3955.28i	0.735309	+	0.735309i	−0.236357	+	0.971666i	$0.575953\pi$
$308$	−1523.26	+	2700.10i	−0.281805	+	0.499521i
$309$	2985.41	−	970.019i	0.549625	−	0.178584i
$310$	1365.28	−	648.616i	0.250137	−	0.118835i
$311$	98.8903	+	465.242i	0.0180307	+	0.0848279i	0.986243	−	0.165302i	$-0.0528600\pi$
$311$	98.8903	+	465.242i	0.0180307	+	0.0848279i	−0.968212	+	0.250130i	$0.919527\pi$
$312$	11.7346	+	223.909i	0.00212929	+	0.0406293i
$313$	−8283.24	+	5379.20i	−1.49584	+	0.971407i	−0.501496	+	0.865160i	$0.667217\pi$
$313$	−8283.24	+	5379.20i	−1.49584	+	0.971407i	−0.994340	+	0.106247i	$0.966116\pi$
$314$	906.716	−	2790.59i	0.162958	−	0.501535i
$315$	−13.9124	−	159.599i	−0.00248849	−	0.0285473i
$316$	2618.46	+	8058.80i	0.466139	+	1.43463i
$317$	5221.61	+	4228.38i	0.925158	+	0.749178i	0.968274	−	0.249892i	$-0.0803952\pi$
$317$	5221.61	+	4228.38i	0.925158	+	0.749178i	−0.0431160	+	0.999070i	$0.513729\pi$
$318$	1794.02	+	480.707i	0.316364	+	0.0847695i
$319$	−488.783	+	1097.83i	−0.0857887	+	0.192685i
$320$	−187.607	−	273.876i	−0.0327736	−	0.0478441i
$321$	2065.23	−	2842.55i	0.359096	−	0.494254i
$322$	639.857	+	564.696i	0.110739	+	0.0977307i
$323$	−2168.45	+	1104.88i	−0.373547	+	0.190332i
$324$	−3998.64	−	2308.62i	−0.685638	−	0.395853i
$325$	−65.4576	+	303.342i	−0.0111721	+	0.0517735i
$326$	939.883	+	1627.93i	0.159679	+	0.276572i
$327$	−269.252	+	5137.64i	−0.0455342	+	0.868844i
$328$	8480.44	−	1343.17i	1.42760	−	0.226110i
$329$	3329.85	−	2209.87i	0.557995	−	0.370317i
$330$	−322.221	−	1753.66i	−0.0537505	−	0.292533i
$331$	−1029.51	−	9795.12i	−0.170957	−	1.62655i	−0.657892	−	0.753113i	$-0.728552\pi$
$331$	−1029.51	−	9795.12i	−0.170957	−	1.62655i	0.486934	−	0.873439i	$-0.338115\pi$
$332$	655.810	−	2447.52i	0.108410	−	0.404593i
$333$	31.9233	+	83.1629i	0.00525340	+	0.0136856i
$334$	3783.66	+	804.241i	0.619858	+	0.131755i
$335$	−1638.40	−	488.070i	−0.267209	−	0.0796003i
$336$	2889.39	+	428.190i	0.469135	+	0.0695229i
$337$	3430.36	+	1747.85i	0.554491	+	0.282527i	0.708699	−	0.705511i	$-0.249283\pi$
$337$	3430.36	+	1747.85i	0.554491	+	0.282527i	−0.154208	+	0.988038i	$0.549283\pi$
$338$	1448.66	+	2230.74i	0.233126	+	0.358982i
$339$	7207.52	−	1532.01i	1.15475	−	0.245449i
$340$	520.838	−	1251.94i	0.0830777	−	0.199694i
$341$	−593.849	+	2793.84i	−0.0943071	+	0.443680i
$342$	−121.496	−	19.2431i	−0.0192098	−	0.00304254i
$343$	−6097.47	−	1781.71i	−0.959861	−	0.280476i
$344$	1337.61	+	1841.07i	0.209649	+	0.288557i
$345$	2172.29	+	60.2419i	0.338991	+	0.00940092i
$346$	2571.51	+	270.276i	0.399552	+	0.0419946i
$347$	5397.98	+	6665.95i	0.835097	+	1.03126i	0.998997	+	0.0447819i	$0.0142593\pi$
$347$	5397.98	+	6665.95i	0.835097	+	1.03126i	−0.163900	+	0.986477i	$0.552407\pi$
$348$	1563.64	+	81.9471i	0.240862	+	0.0126231i
$349$	−7516.66			−1.15289			−0.576444	−	0.817137i	$-0.695560\pi$
$349$	−7516.66			−1.15289			−0.576444	+	0.817137i	$0.695560\pi$
$350$	−2575.43	−	1125.53i	−0.393321	−	0.171892i
$351$	353.108			0.0536966
$352$	−4571.61	−	239.588i	−0.692238	−	0.0362786i
$353$	−3334.53	−	4117.80i	−0.502774	−	0.620874i	0.461063	−	0.887367i	$-0.347468\pi$
$353$	−3334.53	−	4117.80i	−0.502774	−	0.620874i	−0.963837	+	0.266494i	$0.914135\pi$
$354$	2896.68	+	304.453i	0.434906	+	0.0457105i
$355$	−2177.90	−	7394.39i	−0.325608	−	1.10550i
$356$	5746.87	+	7909.89i	0.855571	+	1.17759i
$357$	732.920	+	1603.02i	0.108656	+	0.237649i
$358$	−123.016	−	19.4838i	−0.0181608	−	0.00287639i
$359$	1046.17	−	4921.85i	0.153802	−	0.723581i	−0.831879	−	0.554957i	$-0.812735\pi$
$359$	1046.17	−	4921.85i	0.153802	−	0.723581i	0.985681	−	0.168623i	$-0.0539321\pi$
$360$	130.196	−	79.5075i	0.0190609	−	0.0116400i
$361$	−10065.5	+	2139.49i	−1.46749	+	0.311925i
$362$	405.977	+	625.150i	0.0589439	+	0.0907656i
$363$	−3071.27	−	1564.89i	−0.444076	−	0.226268i
$364$	−279.041	+	110.314i	−0.0401805	+	0.0158846i
$365$	2103.70	−	741.304i	0.301679	−	0.106306i
$366$	−4013.03	−	852.995i	−0.573126	−	0.121822i
$367$	496.848	+	1294.33i	0.0706683	+	0.184097i	0.964366	−	0.264573i	$-0.0852311\pi$
$367$	496.848	+	1294.33i	0.0706683	+	0.184097i	−0.893697	+	0.448670i	$0.851898\pi$
$368$	302.528	−	1129.05i	0.0428542	−	0.159934i
$369$	−39.3742	−	374.620i	−0.00555485	−	0.0528508i
$370$	1549.13	+	206.382i	0.217663	+	0.0289981i
$371$	344.537	+	5521.69i	0.0482143	+	0.772701i
$372$	3675.76	−	582.184i	0.512310	−	0.0811420i
$373$	−242.460	+	4626.41i	−0.0336571	+	0.642215i	0.928767	+	0.370664i	$0.120870\pi$
$373$	−242.460	+	4626.41i	−0.0336571	+	0.642215i	−0.962424	+	0.271551i	$0.912463\pi$
$374$	−289.365	−	501.195i	−0.0400073	−	0.0692946i
$375$	−6871.66	+	2000.88i	−0.946269	+	0.275534i
$376$	3295.71	+	1902.78i	0.452029	+	0.260979i
$377$	−103.634	+	52.8043i	−0.0141577	+	0.00721368i
$378$	−633.750	+	3134.71i	−0.0862343	+	0.426540i
$379$	−987.652	+	1359.39i	−0.133858	+	0.184240i	−0.870684	−	0.491842i	$-0.836324\pi$
$379$	−987.652	+	1359.39i	−0.133858	+	0.184240i	0.736826	+	0.676082i	$0.236324\pi$
$380$	5828.38	−	7571.44i	0.786814	−	1.02212i
$381$	−3414.62	+	7669.36i	−0.459150	+	1.03127i
$382$	−8.98271	−	2.40691i	−0.00120313	−	0.000322378i
$383$	−6571.67	−	5321.63i	−0.876753	−	0.709981i	0.0812635	−	0.996693i	$-0.474104\pi$
$383$	−6571.67	−	5321.63i	−0.876753	−	0.709981i	−0.958017	+	0.286712i	$0.907438\pi$
$384$	2316.59	+	7129.72i	0.307859	+	0.947493i
$385$	4646.04	−	2573.43i	0.615024	−	0.340660i
$386$	−1022.62	+	3147.29i	−0.134844	+	0.415007i
$387$	83.7301	−	54.3750i	0.0109980	−	0.00714221i
$388$	−184.442	−	3519.37i	−0.0241331	−	0.460487i
$389$	−1038.18	−	4884.23i	−0.135315	−	0.636608i	−0.992566	−	0.121708i	$-0.961163\pi$
$389$	−1038.18	−	4884.23i	−0.135315	−	0.636608i	0.857251	−	0.514899i	$-0.172171\pi$
$390$	82.5794	−	151.534i	0.0107220	−	0.0196749i
$391$	670.828	−	217.965i	0.0867653	−	0.0281917i
$392$	−1065.06	−	5954.55i	−0.137228	−	0.767220i
$393$	8282.26	+	8282.26i	1.06307	+	1.06307i
$394$	4293.47	−	451.262i	0.548989	−	0.0577011i
$395$	3410.69	−	14110.5i	0.434456	−	1.79740i
$396$	−13.5376	+	128.801i	−0.00171790	+	0.0163447i
$397$	10785.8	+	4140.27i	1.36353	+	0.523411i	0.926588	−	0.376077i	$-0.122727\pi$
$397$	10785.8	+	4140.27i	1.36353	+	0.523411i	0.436944	+	0.899489i	$0.356061\pi$
$398$	−1632.51	−	3203.97i	−0.205603	−	0.403519i
$399$	2065.04	+	12247.7i	0.259101	+	1.53672i
$400$	189.594	+	3844.95i	0.0236992	+	0.480619i
$401$	1246.03	−	2158.19i	0.155171	−	0.268765i	−0.777950	−	0.628326i	$-0.783740\pi$
$401$	1246.03	−	2158.19i	0.155171	−	0.268765i	0.933121	+	0.359561i	$0.117074\pi$
$402$	797.321	+	517.786i	0.0989222	+	0.0642409i
$403$	−214.842	+	173.975i	−0.0265559	+	0.0215046i
$404$	5294.35	−	2357.20i	0.651989	−	0.290284i
$405$	3763.69	+	6957.46i	0.461775	+	0.853627i
$406$	−282.768	−	1014.78i	−0.0345654	−	0.124046i
$407$	−2088.22	+	2088.22i	−0.254323	+	0.254323i
$408$	−1056.28	+	1304.39i	−0.128170	+	0.158277i
$409$	−2335.06	+	2593.35i	−0.282302	+	0.313528i	−0.867573	−	0.497310i	$-0.834321\pi$
$409$	−2335.06	+	2593.35i	−0.282302	+	0.313528i	0.585272	+	0.810837i	$0.300988\pi$
$410$	−6101.60	−	2538.42i	−0.734967	−	0.305765i
$411$	−5810.14	+	5231.48i	−0.697307	+	0.627858i
$412$	−1816.03	+	3564.17i	−0.217159	+	0.426199i
$413$	1888.24	+	8468.00i	0.224974	+	1.00892i
$414$	33.9067	+	11.0170i	0.00402518	+	0.00130786i
$415$	−3153.46	+	2983.27i	−0.373005	+	0.352875i
$416$	−329.274	−	296.480i	−0.0388077	−	0.0349426i
$417$	14274.5	−	5479.48i	1.67632	−	0.643480i
$418$	−1055.49	−	3939.13i	−0.123506	−	0.460931i
$419$	−9724.52	+	7065.27i	−1.13383	+	0.823774i	−0.986247	−	0.165276i	$-0.947148\pi$
$419$	−9724.52	+	7065.27i	−1.13383	+	0.823774i	−0.147580	+	0.989050i	$0.547148\pi$
$420$	−5299.78	−	4449.89i	−0.615721	−	0.516982i
$421$	11854.4	+	8612.70i	1.37232	+	0.997049i	0.997552	+	0.0699299i	$0.0222776\pi$
$421$	11854.4	+	8612.70i	1.37232	+	0.997049i	0.374768	+	0.927119i	$0.377722\pi$
$422$	−417.461	+	1087.52i	−0.0481557	+	0.125450i
$423$	90.9296	−	140.019i	0.0104519	−	0.0160945i
$424$	−4562.39	+	2634.10i	−0.522569	+	0.301706i
$425$	−1883.58	+	1359.63i	−0.214981	+	0.155180i
$426$			4286.74i			0.487543i
$427$	−1398.36	−	12140.5i	−0.158481	−	1.37593i
$428$	700.425	+	4422.31i	0.0791036	+	0.499440i
$429$	132.640	+	297.913i	0.0149275	+	0.0335277i
$430$	−134.726	−	1746.35i	−0.0151095	−	0.195852i
$431$	−10551.0	−	4697.60i	−1.17917	−	0.525001i	−0.278895	−	0.960322i	$-0.589968\pi$
$431$	−10551.0	−	4697.60i	−1.17917	−	0.525001i	−0.900275	+	0.435321i	$0.856635\pi$
$432$	4231.11	−	1133.72i	0.471225	−	0.126264i
$433$	1471.22	−	9288.94i	0.163285	−	1.03094i	−0.760864	−	0.648911i	$-0.775225\pi$
$433$	1471.22	−	9288.94i	0.163285	−	1.03094i	0.924149	−	0.382031i	$-0.124775\pi$
$434$	−1158.87	−	2219.50i	−0.128174	−	0.245483i
$435$	−2208.37	−	1522.80i	−0.243410	−	0.167845i
$436$	−4386.82	−	4872.05i	−0.481859	−	0.535158i
$437$	4963.52	−	260.127i	0.543335	−	0.0284750i
$438$	−1238.70	+	64.9174i	−0.135131	+	0.00708190i
$439$	−4458.10	−	4951.22i	−0.484677	−	0.538289i	0.450356	−	0.892849i	$-0.351297\pi$
$439$	−4458.10	−	4951.22i	−0.484677	−	0.538289i	−0.935033	+	0.354561i	$0.884630\pi$
$440$	4163.57	+	2871.02i	0.451115	+	0.311070i
$441$	−263.320	+	32.9893i	−0.0284332	+	0.00356217i
$442$	8.76250	−	55.3243i	0.000942963	−	0.00595364i
$443$	−3304.59	+	885.463i	−0.354415	+	0.0949653i	−0.431634	−	0.902049i	$-0.642063\pi$
$443$	−3304.59	+	885.463i	−0.354415	+	0.0949653i	0.0772186	+	0.997014i	$0.475396\pi$
$444$	3515.22	+	1565.08i	0.375732	+	0.167287i
$445$	−1288.40	−	16700.6i	−0.137250	−	1.77906i
$446$	2106.32	+	4730.86i	0.223625	+	0.502271i
$447$	804.447	+	5079.08i	0.0851209	+	0.537432i
$448$	−441.646	+	327.642i	−0.0465755	+	0.0345528i
$449$		−	7167.74i		−	0.753377i	−0.926340	−	0.376689i	$-0.877063\pi$
$449$		−	7167.74i		−	0.753377i	0.926340	−	0.376689i	$-0.122937\pi$
$450$	−117.416	−	0.362809i	−0.0123001	−	3.80066e-5i
$451$	10814.9	−	6243.98i	1.12916	−	0.651923i
$452$	−5114.10	+	7875.03i	−0.532184	+	0.819492i
$453$	1632.01	−	4251.54i	0.169269	−	0.440960i
$454$	5459.00	+	3966.19i	0.564325	+	0.410006i
$455$	506.215	+	89.4238i	0.0521576	+	0.00921374i
$456$	−9568.50	+	6951.92i	−0.982644	+	0.713933i
$457$	3461.34	+	12917.9i	0.354300	+	1.32226i	0.881364	+	0.472438i	$0.156626\pi$
$457$	3461.34	+	12917.9i	0.354300	+	1.32226i	−0.527064	+	0.849825i	$0.676707\pi$
$458$	−2330.63	+	894.644i	−0.237780	+	0.0912751i
$459$	1964.35	+	1768.71i	0.199756	+	0.179861i
$460$	−2011.69	+	1903.13i	−0.203904	+	0.192899i
$461$	5660.01	+	1839.05i	0.571828	+	0.185798i	0.580636	−	0.814163i	$-0.302804\pi$
$461$	5660.01	+	1839.05i	0.571828	+	0.185798i	−0.00880834	+	0.999961i	$0.502804\pi$
$462$	−2882.78	+	642.817i	−0.290301	+	0.0647327i
$463$	4234.41	−	8310.50i	0.425032	−	0.834172i	−0.574842	−	0.818265i	$-0.694936\pi$
$463$	4234.41	−	8310.50i	0.425032	−	0.834172i	0.999873	−	0.0159074i	$-0.00506369\pi$
$464$	−1072.26	+	965.464i	−0.107281	+	0.0965960i
$465$	−5886.69	−	2449.01i	−0.587073	−	0.244237i
$466$	5255.84	−	5837.20i	0.522472	−	0.580264i
$467$	6637.36	−	8196.46i	0.657688	−	0.812178i	−0.333763	−	0.942657i	$-0.608318\pi$
$467$	6637.36	−	8196.46i	0.657688	−	0.812178i	0.991451	+	0.130480i	$0.0416517\pi$
$468$	−8.86360	+	8.86360i	−0.000875470	+	0.000875470i
$469$	−705.672	+	2742.54i	−0.0694774	+	0.270019i
$470$	−1393.64	−	2576.25i	−0.136774	−	0.252838i
$471$	−11306.8	+	5034.13i	−1.10614	+	0.492485i
$472$	−6420.47	+	5199.19i	−0.626114	+	0.507017i
$473$	2775.85	+	1802.66i	0.269839	+	0.175235i
$474$	−4036.47	+	6991.36i	−0.391141	+	0.677477i
$475$	−15300.3	+	5819.04i	−1.47795	+	0.562097i
$476$	−2104.87	−	784.031i	−0.202682	−	0.0754958i
$477$	104.927	+	205.931i	0.0100719	+	0.0197672i
$478$	2715.87	+	1042.52i	0.259876	+	0.0997572i
$479$	−581.674	+	5534.26i	−0.0554851	+	0.527905i	0.931112	+	0.364732i	$0.118840\pi$
$479$	−581.674	+	5534.26i	−0.0554851	+	0.527905i	−0.986597	+	0.163173i	$0.947827\pi$
$480$	2400.89	−	9932.82i	0.228303	−	0.944519i
$481$	−284.267	+	29.8776i	−0.0269469	+	0.00283223i
$482$	−1461.00	−	1461.00i	−0.138064	−	0.138064i
$483$	−35.8404	−	3599.60i	−0.00337638	−	0.339105i
$484$	4177.56	−	1357.37i	0.392332	−	0.127477i
$485$	−2889.11	+	5301.52i	−0.270490	+	0.496350i
$486$	54.7820	+	257.729i	0.00511309	+	0.0240552i
$487$	−368.232	−	7026.29i	−0.0342633	−	0.653782i	−0.960743	−	0.277438i	$-0.910515\pi$
$487$	−368.232	−	7026.29i	−0.0342633	−	0.653782i	0.926480	−	0.376344i	$-0.122819\pi$
$488$	9759.71	−	6338.03i	0.905331	−	0.587929i
$489$	2450.24	−	7541.05i	0.226592	−	0.697379i
$490$	−1702.40	+	4333.41i	−0.156952	+	0.399518i
$491$	−1145.75	−	3526.27i	−0.105310	−	0.324110i	0.884493	−	0.466553i	$-0.154504\pi$
$491$	−1145.75	−	3526.27i	−0.105310	−	0.324110i	−0.989803	+	0.142443i	$0.954504\pi$
$492$	−12645.2	−	10239.9i	−1.15872	−	0.938309i
$493$	−841.017	−	225.350i	−0.0768306	−	0.0205867i
$494$	160.542	−	360.584i	0.0146217	−	0.0328410i
$495$	135.342	−	175.818i	0.0122892	−	0.0159645i
$496$	−2015.75	+	2774.45i	−0.182480	+	0.251162i
$497$	−12104.2	+	4066.57i	−1.09245	+	0.367023i
$498$	2150.95	−	1095.96i	0.193547	−	0.0986170i
$499$	−854.347	−	493.258i	−0.0766450	−	0.0442510i	0.461188	−	0.887303i	$-0.347423\pi$
$499$	−854.347	−	493.258i	−0.0766450	−	0.0442510i	−0.537833	+	0.843052i	$0.680757\pi$
$500$	4388.97	−	7994.89i	0.392562	−	0.715085i
$501$	−8158.29	−	14130.6i	−0.727516	−	1.26010i
$502$	−85.4606	+	1630.69i	−0.00759819	+	0.144982i
$503$	−13495.1	+	2137.42i	−1.19626	+	0.189469i	−0.722616	−	0.691249i	$-0.757061\pi$
$503$	−13495.1	+	2137.42i	−1.19626	+	0.189469i	−0.473641	+	0.880718i	$0.657061\pi$
$504$	−139.736	−	210.555i	−0.0123498	−	0.0186088i
$505$	−9841.68	−	1311.15i	−0.867225	−	0.115536i
$506$	123.546	+	1175.46i	0.0108543	+	0.103272i
$507$	2903.85	−	10837.3i	0.254368	−	0.949315i
$508$	−3833.87	−	9987.58i	−0.334844	−	0.872297i
$509$	19349.4	+	4112.84i	1.68496	+	0.358150i	0.948119	−	0.317914i	$-0.102982\pi$
$509$	19349.4	+	4112.84i	1.68496	+	0.358150i	0.736843	+	0.676064i	$0.236316\pi$
$510$	1218.42	−	429.348i	0.105789	−	0.0372782i
$511$	−1358.38	−	3436.05i	−0.117595	−	0.297460i
$512$	−8768.86	−	4467.96i	−0.756900	−	0.385660i
$513$	10144.6	+	15621.3i	0.873091	+	1.34444i
$514$	−78.1728	+	16.6161i	−0.00670827	+	0.00142589i
$515$	5848.72	−	3571.68i	0.500437	−	0.305606i
$516$	896.631	−	4218.32i	0.0764961	−	0.359886i
$517$	5466.77	+	865.851i	0.465045	+	0.0736559i
$518$	244.957	−	2577.19i	0.0207776	−	0.218601i
$519$	−6410.82	−	8823.74i	−0.542204	−	0.746279i
$520$	138.300	+	469.557i	0.0116632	+	0.0395989i
$521$	5937.76	+	624.084i	0.499305	+	0.0524791i	0.350834	−	0.936438i	$-0.385898\pi$
$521$	5937.76	+	624.084i	0.499305	+	0.0524791i	0.148471	+	0.988917i	$0.452565\pi$
$522$	−27.6954	−	34.2010i	−0.00232221	−	0.00286769i
$523$	2083.82	+	109.209i	0.174224	+	0.00913071i	0.139249	−	0.990257i	$-0.455531\pi$
$523$	2083.82	+	109.209i	0.174224	+	0.00913071i	0.0349757	+	0.999388i	$0.488865\pi$
$524$	−14926.0			−1.24436
$525$	3740.93	+	11250.0i	0.310986	+	0.935218i
$526$	3785.44			0.313789
$527$	−2066.61	−	108.307i	−0.170822	−	0.00895239i
$528$	2545.86	+	3143.87i	0.209838	+	0.259128i
$529$	10667.7	+	1121.22i	0.876774	+	0.0921527i
$530$	4053.25	+	112.405i	0.332192	+	0.00921237i
$531$	213.040	+	293.225i	0.0174108	+	0.0239640i
$532$	−12896.9	−	9175.37i	−1.05104	−	0.747750i
$533$	1193.80	+	189.079i	0.0970152	+	0.0153657i
$534$	−1936.68	+	9111.38i	−0.156945	+	0.738367i
$535$	2946.40	−	7082.28i	0.238101	−	0.572325i
$536$	−2637.69	+	560.659i	−0.212558	+	0.0451805i
$537$	286.135	+	440.609i	0.0229937	+	0.0354072i
$538$	−547.146	−	278.785i	−0.0438460	−	0.0223407i
$539$	−4549.80	−	7530.12i	−0.363588	−	0.601754i
$540$	−9945.87	−	2962.82i	−0.792597	−	0.236110i
$541$	2559.44	+	544.026i	0.203399	+	0.0432338i	0.308484	−	0.951229i	$-0.400178\pi$
$541$	2559.44	+	544.026i	0.203399	+	0.0432338i	−0.105085	+	0.994463i	$0.533512\pi$
$542$	2552.80	+	6650.27i	0.202310	+	0.527036i
$543$	813.787	−	3037.09i	0.0643148	−	0.240026i
$544$	−346.703	−	3298.66i	−0.0273249	−	0.259979i
$545$	2029.75	+	11046.8i	0.159532	+	0.868242i
$546$	−255.991	−	127.240i	−0.0200648	−	0.00997317i
$547$	19761.4	−	3129.89i	1.54467	−	0.244652i	0.674826	−	0.737977i	$-0.264219\pi$
$547$	19761.4	−	3129.89i	1.54467	−	0.244652i	0.869845	+	0.493325i	$0.164219\pi$
$548$	521.427	−	9949.41i	0.0406464	−	0.775580i
$549$	−255.267	−	442.135i	−0.0198443	−	0.0343713i
$550$	−1572.28	−	3560.97i	−0.121895	−	0.276073i
$551$	−5313.39	−	3067.69i	−0.410813	−	0.237183i
$552$	3054.24	−	1556.21i	0.235502	−	0.119994i
$553$	−23570.2	−	4765.24i	−1.81249	−	0.366435i
$554$	2542.45	−	3499.39i	0.194979	−	0.268366i
$555$	−3725.46	−	5438.56i	−0.284931	−	0.415953i
$556$	−7925.07	+	17800.0i	−0.604492	+	1.35771i
$557$	−15818.5	−	4238.54i	−1.20332	−	0.322429i	−0.399182	−	0.916871i	$-0.630706\pi$
$557$	−15818.5	−	4238.54i	−1.20332	−	0.322429i	−0.804138	+	0.594443i	$0.797373\pi$
$558$	−81.2891	−	65.8266i	−0.00616710	−	0.00499402i
$559$	98.9934	+	304.670i	0.00749011	+	0.0230522i
$560$	6352.82	−	553.782i	0.479385	−	0.0417885i
$561$	−754.363	+	2321.69i	−0.0567723	+	0.174727i
$562$	4924.62	−	3198.09i	0.369631	−	0.240041i
$563$	468.384	+	8937.30i	0.0350622	+	0.669027i	0.958468	+	0.285201i	$0.0920604\pi$
$563$	468.384	+	8937.30i	0.0350622	+	0.669027i	−0.923405	+	0.383826i	$0.874606\pi$
$564$	−1499.41	−	7054.17i	−0.111944	−	0.526656i
$565$	14530.3	−	6903.08i	1.08194	−	0.514008i
$566$	1300.70	−	422.625i	0.0965949	−	0.0313856i
$567$	11282.0	−	6664.31i	0.835625	−	0.493606i
$568$	−8597.85	−	8597.85i	−0.635137	−	0.635137i
$569$	12408.1	−	1304.15i	0.914193	−	0.0960856i	0.364263	−	0.931296i	$-0.381321\pi$
$569$	12408.1	−	1304.15i	0.914193	−	0.0960856i	0.549930	+	0.835211i	$0.314654\pi$
$570$	9076.24	−	700.208i	0.666951	−	0.0514535i
$571$	−925.525	+	8805.78i	−0.0678319	+	0.645378i	0.906800	+	0.421562i	$0.138518\pi$
$571$	−925.525	+	8805.78i	−0.0678319	+	0.645378i	−0.974632	+	0.223816i	$0.928149\pi$
$572$	−387.964	−	148.925i	−0.0283594	−	0.0108861i
$573$	17.8087	+	34.9515i	0.00129838	+	0.00254821i
$574$	−3821.14	+	10258.5i	−0.277860	+	0.745964i
$575$	4643.64	−	972.048i	0.336788	−	0.0704995i
$576$	−11.4865	+	19.8951i	−0.000830907	+	0.00143917i
$577$	6618.41	+	4298.05i	0.477519	+	0.310104i	0.760861	−	0.648915i	$-0.224777\pi$
$577$	6618.41	+	4298.05i	0.477519	+	0.310104i	−0.283343	+	0.959019i	$0.591443\pi$
$578$	−4309.63	+	3489.87i	−0.310133	+	0.251141i
$579$	12752.1	−	5677.61i	0.915302	−	0.407519i
$580$	3362.10	−	617.756i	0.240696	−	0.0442258i
$581$	5135.08	+	5033.83i	0.366676	+	0.359447i
$582$	2374.17	−	2374.17i	0.169094	−	0.169094i
$583$	−4821.99	+	5954.67i	−0.342550	+	0.423014i
$584$	2354.23	−	2614.64i	0.166813	−	0.185265i
$585$	20.8893	−	4.98096i	0.00147635	−	0.000352030i
$586$	−872.729	+	785.808i	−0.0615223	+	0.0553950i
$587$	9548.96	−	18740.9i	0.671427	−	1.31775i	−0.264100	−	0.964495i	$-0.585075\pi$
$587$	9548.96	−	18740.9i	0.671427	−	1.31775i	0.935527	−	0.353255i	$-0.114925\pi$
$588$	−7035.29	+	9050.56i	−0.493419	+	0.634760i
$589$	−13868.9	−	4506.27i	−0.970217	−	0.315242i
$590$	6305.64	−	820.244i	0.439998	−	0.0572355i
$591$	−13532.8	−	12185.0i	−0.941907	−	0.848097i
$592$	−3310.29	+	1270.70i	−0.229818	+	0.0882187i
$593$	5639.82	+	21048.1i	0.390556	+	1.45757i	0.829220	+	0.558922i	$0.188785\pi$
$593$	5639.82	+	21048.1i	0.390556	+	1.45757i	−0.438664	+	0.898651i	$0.644548\pi$
$594$	−3583.38	+	2603.48i	−0.247521	+	0.179835i
$595$	2368.17	+	3033.09i	0.163169	+	0.208982i
$596$	−5301.54	−	3851.80i	−0.364362	−	0.264724i
$597$	−5435.75	+	14160.6i	−0.372647	+	0.970779i
$598$	−62.3048	+	95.9410i	−0.00426059	+	0.00656073i
$599$	−14249.2	+	8226.80i	−0.971967	+	0.561165i	−0.899835	−	0.436230i	$-0.856313\pi$
$599$	−14249.2	+	8226.80i	−0.971967	+	0.561165i	−0.0721315	+	0.997395i	$0.522980\pi$
$600$	−8007.45	+	7958.12i	−0.544838	+	0.541482i
$601$			10749.0i			0.729549i	0.931096	+	0.364775i	$0.118854\pi$
$601$			10749.0i			0.729549i	−0.931096	+	0.364775i	$0.881146\pi$
$602$	−2882.37	+	331.996i	−0.195144	+	0.0224770i
$603$	18.5068	+	116.847i	0.00124984	+	0.00789119i
$604$	2360.41	+	5301.57i	0.159013	+	0.357148i
$605$	−7314.64	−	1768.05i	−0.491541	−	0.118812i
$606$	5044.05	+	2245.76i	0.338120	+	0.150541i
$607$	−20269.1	+	5431.09i	−1.35535	+	0.363165i	−0.862107	−	0.506726i	$-0.830855\pi$
$607$	−20269.1	+	5431.09i	−1.35535	+	0.363165i	−0.493243	+	0.869891i	$0.664189\pi$
$608$	3656.25	−	23084.7i	0.243882	−	1.53981i
$609$	−2382.92	+	3750.61i	−0.158556	+	0.249560i
$610$	−8954.11	+	220.629i	−0.594330	+	0.0146443i
$611$	358.460	+	398.110i	0.0237344	+	0.0263598i
$612$	−93.7062	+	4.91093i	−0.00618929	+	0.000324367i
$613$	−3911.31	+	204.983i	−0.257710	+	0.0135060i	−0.180753	−	0.983528i	$-0.557854\pi$
$613$	−3911.31	+	204.983i	−0.257710	+	0.0135060i	−0.0769566	+	0.997034i	$0.524520\pi$
$614$	−4544.12	−	5046.76i	−0.298674	−	0.331711i
$615$	9264.56	+	26291.3i	0.607452	+	1.72385i
$616$	4492.66	−	7071.23i	0.293854	−	0.462513i
$617$	−3639.71	+	22980.2i	−0.237487	+	1.49943i	0.524261	+	0.851557i	$0.324342\pi$
$617$	−3639.71	+	22980.2i	−0.237487	+	1.49943i	−0.761748	+	0.647874i	$0.775658\pi$
$618$	−3681.19	+	986.372i	−0.239610	+	0.0642034i
$619$	23214.8	+	10335.9i	1.50740	+	0.671138i	0.983544	−	0.180669i	$-0.0578263\pi$
$619$	23214.8	+	10335.9i	1.50740	+	0.671138i	0.523856	+	0.851807i	$0.324493\pi$
$620$	7511.15	−	3097.63i	0.486541	−	0.200652i
$621$	−2195.72	−	4931.66i	−0.141886	−	0.318681i
$622$	−90.3345	−	570.350i	−0.00582329	−	0.0367668i
$623$	−27564.5	+	3174.92i	−1.77263	+	0.204174i
$624$			391.545i			0.0251191i
$625$	−13579.7	+	7728.73i	−0.869099	+	0.494639i
$626$	10384.5	−	5995.50i	0.663017	−	0.382793i
$627$	−9368.88	+	14426.8i	−0.596741	+	0.918901i
$628$	5652.23	−	14724.6i	0.359153	−	0.935627i
$629$	−1731.04	−	1257.68i	−0.109732	−	0.0797247i
$630$	6.72670	+	194.384i	0.000425394	+	0.0122928i
$631$	22654.1	−	16459.1i	1.42923	−	1.03840i	0.439070	−	0.898453i	$-0.355308\pi$
$631$	22654.1	−	16459.1i	1.42923	−	1.03840i	0.990160	−	0.139943i	$-0.0446919\pi$
$632$	−5926.60	−	22118.4i	−0.373018	−	1.39212i
$633$	4587.34	−	1760.91i	0.288042	−	0.110569i
$634$	−6062.09	−	5458.33i	−0.379742	−	0.341921i
$635$	−3367.85	+	18015.9i	−0.210471	+	1.12589i
$636$	9494.93	+	3085.09i	0.591979	+	0.192346i
$637$	116.436	−	843.531i	0.00724230	−	0.0524677i
$638$	662.364	−	1299.96i	0.0411022	−	0.0806677i
$639$	−396.422	+	356.940i	−0.0245418	+	0.0220975i
$640$	8529.84	+	13967.8i	0.526831	+	0.862699i
$641$	10964.3	−	12177.1i	0.675610	−	0.750340i	−0.303687	−	0.952772i	$-0.598218\pi$
$641$	10964.3	−	12177.1i	0.675610	−	0.750340i	0.979296	+	0.202431i	$0.0648843\pi$
$642$	−2684.53	+	3315.12i	−0.165031	+	0.203796i
$643$	−15931.6	+	15931.6i	−0.977107	+	0.977107i	−0.999744	−	0.0226372i	$-0.992794\pi$
$643$	−15931.6	+	15931.6i	−0.977107	+	0.977107i	0.0226372	+	0.999744i	$0.492794\pi$
$644$	3275.84	+	3211.25i	0.200444	+	0.196492i
$645$	−5094.01	+	5351.39i	−0.310971	+	0.326683i
$646$	2699.26	−	1201.79i	0.164398	−	0.0731947i
$647$	13874.1	−	11235.0i	0.843041	−	0.682681i	−0.107186	−	0.994239i	$-0.534184\pi$
$647$	13874.1	−	11235.0i	0.843041	−	0.682681i	0.950227	+	0.311558i	$0.100851\pi$
$648$	10464.5	+	6795.72i	0.634389	+	0.411977i
$649$	−6007.96	+	10406.1i	−0.363379	+	0.629391i
$650$	98.6360	−	363.617i	0.00595204	−	0.0219419i
$651$	−3686.55	+	9897.23i	−0.221947	+	0.595857i
$652$	4587.25	+	9002.98i	0.275537	+	0.540773i
$653$	25378.5	+	9741.89i	1.52088	+	0.583813i	0.968332	−	0.249666i	$-0.0803208\pi$
$653$	25378.5	+	9741.89i	1.52088	+	0.583813i	0.552552	+	0.833478i	$0.313654\pi$
$654$	652.890	−	6211.84i	0.0390368	−	0.371410i
$655$	21782.3	+	13394.6i	1.29940	+	0.799037i
$656$	14911.7	−	1567.28i	0.887507	−	0.0932808i
$657$	−109.145	−	109.145i	−0.00648119	−	0.00648119i
$658$	−4177.57	+	2467.70i	−0.247506	+	0.146202i
$659$	8004.27	−	2600.74i	0.473144	−	0.153734i	−0.0627322	−	0.998030i	$-0.519981\pi$
$659$	8004.27	−	2600.74i	0.473144	−	0.153734i	0.535876	+	0.844297i	$0.319981\pi$
$660$	−1236.31	−	9504.16i	−0.0729142	−	0.560529i
$661$	−5348.60	−	25163.2i	−0.314730	−	1.48069i	−0.796633	−	0.604463i	$-0.793388\pi$
$661$	−5348.60	−	25163.2i	−0.314730	−	1.48069i	0.481903	−	0.876225i	$-0.339946\pi$
$662$	625.810	+	11941.2i	0.0367414	+	0.701067i
$663$	−198.157	+	128.685i	−0.0116075	+	0.00753800i
$664$	−2115.97	+	6512.28i	−0.123668	+	0.380611i
$665$	10587.2	+	24963.8i	0.617375	+	1.45572i
$666$	−33.4200	−	102.856i	−0.00194445	−	0.00598439i
$667$	1381.91	+	1119.05i	0.0802217	+	0.0649622i
$668$	20084.1	+	5381.52i	1.16329	+	0.311703i
$669$	8884.75	−	19955.5i	0.513459	−	1.15325i
$670$	1955.40	+	695.847i	0.112752	+	0.0401237i
$671$	9948.49	−	13692.9i	0.572365	−	0.787793i
$672$	−16591.9	−	3354.41i	−0.952449	−	0.192558i
$673$	26170.5	−	13334.5i	1.49896	−	0.763756i	0.503965	−	0.863724i	$-0.331874\pi$
$673$	26170.5	−	13334.5i	1.49896	−	0.763756i	0.994991	+	0.0999685i	$0.0318742\pi$
$674$	−4047.95	−	2337.09i	−0.231337	−	0.133563i
$675$	11855.7	+	13249.2i	0.676040	+	0.755500i
$676$	7148.72	+	12381.9i	0.406732	+	0.704480i
$677$	338.669	−	6462.18i	0.0192261	−	0.366857i	−0.972026	−	0.234874i	$-0.924532\pi$
$677$	338.669	−	6462.18i	0.0192261	−	0.366857i	0.991252	−	0.131983i	$-0.0421344\pi$
$678$	−8835.84	+	1399.46i	−0.500499	+	0.0792713i
$679$	8956.04	+	4451.58i	0.506188	+	0.251599i
$680$	−1582.63	+	3304.91i	−0.0892518	+	0.186379i
$681$	−2975.17	−	28306.8i	−0.167414	−	1.59283i
$682$	897.511	−	3349.56i	0.0503922	−	0.188066i
$683$	−5143.57	−	13399.5i	−0.288160	−	0.750682i	−0.998885	−	0.0472121i	$-0.984966\pi$
$683$	−5143.57	−	13399.5i	−0.288160	−	0.750682i	0.710725	−	0.703470i	$-0.248367\pi$
$684$	−646.768	−	137.475i	−0.0361547	−	0.00768491i
$685$	−9689.53	+	14051.8i	−0.540464	+	0.783783i
$686$	7279.45	+	2547.60i	0.405147	+	0.141790i
$687$	9382.62	+	4780.68i	0.521061	+	0.265494i
$688$	2164.39	+	3332.87i	0.119937	+	0.184687i
$689$	−725.402	+	154.189i	−0.0401097	+	0.00852559i
$690$	−2629.89	−	211.065i	−0.145099	−	0.0116451i
$691$	−4230.29	+	19901.9i	−0.232891	+	1.09567i	0.693895	+	0.720076i	$0.255893\pi$
$691$	−4230.29	+	19901.9i	−0.232891	+	1.09567i	−0.926786	+	0.375590i	$0.877440\pi$
$692$	13727.6	+	2174.24i	0.754111	+	0.119439i
$693$	−299.482	−	213.064i	−0.0164162	−	0.0116791i
$694$	−6121.03	−	8424.88i	−0.334800	−	0.460813i
$695$	27539.2	−	18864.6i	1.50305	−	1.02960i
$696$	−4208.17	−	442.296i	−0.229181	−	0.0240879i
$697$	5694.05	+	7031.56i	0.309437	+	0.382122i
$698$	9113.31	+	477.608i	0.494189	+	0.0258993i
$699$	−33132.4			−1.79282
$700$	−13508.0	−	6766.27i	−0.729366	−	0.365344i
$701$	−22382.8			−1.20597			−0.602987	−	0.797751i	$-0.706023\pi$
$701$	−22382.8			−1.20597			−0.602987	+	0.797751i	$0.706023\pi$
$702$	−428.113	−	22.4365i	−0.0230172	−	0.00120628i
$703$	−9488.60	−	11717.4i	−0.509060	−	0.628637i
$704$	−757.434	−	79.6095i	−0.0405495	−	0.00426193i
$705$	−4142.22	+	11640.1i	−0.221284	+	0.621832i
$706$	3781.19	+	5204.36i	0.201568	+	0.277434i
$707$	−1556.22	+	16373.0i	−0.0827832	+	0.870962i
$708$	15463.5	+	2449.18i	0.820838	+	0.130008i
$709$	−3523.55	+	16577.0i	−0.186643	+	0.878085i	0.780758	+	0.624834i	$0.214833\pi$
$709$	−3523.55	+	16577.0i	−0.186643	+	0.878085i	−0.967400	+	0.253251i	$0.918500\pi$
$710$	2170.67	+	9103.44i	0.114738	+	0.481192i
$711$	−982.635	+	208.866i	−0.0518308	+	0.0110170i
$712$	−14390.2	−	22158.9i	−0.757437	−	1.16635i
$713$	3765.76	+	1918.75i	0.197796	+	0.100782i
$714$	−786.747	−	1990.09i	−0.0412371	−	0.104310i
$715$	432.531	+	565.493i	0.0226234	+	0.0295779i
$716$	−654.856	−	139.194i	−0.0341803	−	0.00726526i
$717$	−4397.52	−	11455.9i	−0.229049	−	0.596694i
$718$	−1581.13	+	5900.85i	−0.0821827	+	0.306710i
$719$	44.0320	+	418.937i	0.00228389	+	0.0217298i	0.995604	−	0.0936573i	$-0.0298558\pi$
$719$	44.0320	+	418.937i	0.00228389	+	0.0217298i	−0.993321	+	0.115387i	$0.963189\pi$
$720$	234.313	−	126.753i	0.0121283	−	0.00656086i
$721$	−6277.28	−	9458.65i	−0.324242	−	0.488569i
$722$	12339.5	−	1954.39i	0.636052	−	0.100741i
$723$	−456.130	+	8703.48i	−0.0234629	+	0.447698i
$724$	2003.38	+	3469.96i	0.102839	+	0.178122i
$725$	−5460.86	−	2115.61i	−0.279740	−	0.108375i
$726$	3624.21	+	2092.44i	0.185272	+	0.106967i
$727$	2283.41	−	1163.46i	0.116488	−	0.0593538i	−0.394775	−	0.918778i	$-0.629178\pi$
$727$	2283.41	−	1163.46i	0.116488	−	0.0593538i	0.511264	+	0.859424i	$0.329178\pi$
$728$	768.640	−	258.235i	0.0391314	−	0.0131467i
$729$	11881.6	−	16353.7i	0.603649	−	0.830852i
$730$	−2597.66	+	765.099i	−0.131704	+	0.0387912i
$731$	−975.384	+	2190.75i	−0.0493514	+	0.110845i
$732$	−21301.6	−	5707.75i	−1.07559	−	0.288203i
$733$	24734.4	+	20029.5i	1.24636	+	1.00929i	0.999187	+	0.0403163i	$0.0128366\pi$
$733$	24734.4	+	20029.5i	1.24636	+	1.00929i	0.247178	+	0.968970i	$0.420497\pi$
$734$	−520.144	−	1600.84i	−0.0261565	−	0.0805014i
$735$	18388.9	−	6894.52i	0.922838	−	0.345997i
$736$	−2093.26	+	6442.38i	−0.104835	+	0.322648i
$737$	−3289.30	+	2136.10i	−0.164400	+	0.106763i
$738$	23.9345	+	456.697i	0.00119382	+	0.0227795i
$739$	−6348.50	−	29867.4i	−0.316013	−	1.48672i	−0.793763	−	0.608228i	$-0.791881\pi$
$739$	−6348.50	−	29867.4i	−0.316013	−	1.48672i	0.477750	−	0.878496i	$-0.341453\pi$
$740$	8257.53	+	1543.64i	0.410207	+	0.0766830i
$741$	−1583.45	+	514.494i	−0.0785014	+	0.0255066i
$742$	−66.8742	−	6716.47i	−0.00330866	−	0.332304i
$743$	3798.94	+	3798.94i	0.187577	+	0.187577i	0.794648	−	0.607071i	$-0.207656\pi$
$743$	3798.94	+	3798.94i	0.187577	+	0.187577i	−0.607071	+	0.794648i	$0.707656\pi$
$744$	−10002.0	+	1051.25i	−0.492865	+	0.0518021i
$745$	4280.24	+	10378.7i	0.210491	+	0.510399i
$746$	587.923	−	5593.72i	0.0288544	−	0.274532i
$747$	280.451	+	107.655i	0.0137365	+	0.00527295i
$748$	−1412.29	−	2771.78i	−0.0690354	−	0.135490i
$749$	−11907.4	−	4435.30i	−0.580888	−	0.216371i
$750$	8458.44	−	1989.27i	0.411811	−	0.0968506i
$751$	7629.38	−	13214.5i	0.370706	−	0.642081i	−0.618969	−	0.785416i	$-0.712449\pi$
$751$	7629.38	−	13214.5i	0.370706	−	0.642081i	0.989674	+	0.143335i	$0.0457825\pi$
$752$	5573.45	+	3619.44i	0.270270	+	0.175515i
$753$	5352.91	−	4334.70i	0.259058	−	0.209781i
$754$	129.003	−	57.4358i	0.00623078	−	0.00277412i
$755$	1312.94	−	9855.09i	0.0632885	−	0.475051i
$756$	−4283.77	+	16648.6i	−0.206084	+	0.800929i
$757$	−25053.2	+	25053.2i	−1.20287	+	1.20287i	−0.229582	+	0.973289i	$0.573736\pi$
$757$	−25053.2	+	25053.2i	−1.20287	+	1.20287i	−0.973289	+	0.229582i	$0.926264\pi$
$758$	1283.82	−	1585.38i	0.0615177	−	0.0759680i
$759$	3336.00	−	3705.00i	0.159538	−	0.177185i
$760$	−16799.7	+	19608.5i	−0.801827	+	0.935888i
$761$	−6237.02	+	5615.84i	−0.297098	+	0.267509i	−0.804175	−	0.594392i	$-0.797393\pi$
$761$	−6237.02	+	5615.84i	−0.297098	+	0.267509i	0.507077	+	0.861901i	$0.330726\pi$
$762$	4627.24	−	9081.48i	0.219983	−	0.431742i
$763$	18159.4	−	4049.27i	0.861616	−	0.192128i
$764$	−47.5413	−	15.4471i	−0.00225129	−	0.000731488i
$765$	141.158	+	76.9249i	0.00667133	+	0.00363559i
$766$	7629.45	+	6869.59i	0.359874	+	0.324032i
$767$	−1085.75	+	416.779i	−0.0511134	+	0.0196206i

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:	\( N \)	\(=\)	\( 175 = 5^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	175.x (of order \(60\), degree \(16\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.21241 - 0.0635399i) q^{2} +(3.22285 + 3.97989i) q^{3} +(-6.49026 - 0.682154i) q^{4} +(8.85943 + 6.81986i) q^{5} +(-3.65455 - 5.03006i) q^{6} +(10.7362 - 15.0908i) q^{7} +(17.4186 + 2.75883i) q^{8} +(0.160861 - 0.756792i) q^{9} +(-10.3080 - 8.83142i) q^{10} +(25.0894 - 5.33292i) q^{11} +(-18.2023 - 28.0290i) q^{12} +(2.21201 + 1.12707i) q^{13} +(-13.9756 + 17.6142i) q^{14} +(1.41037 + 57.2390i) q^{15} +(30.1240 + 6.40305i) q^{16} +(6.65998 + 17.3498i) q^{17} +(-0.243117 + 0.907324i) q^{18} +(13.6886 + 130.238i) q^{19} +(-52.8479 - 50.3062i) q^{20} +(94.6612 - 5.90658i) q^{21} +(-30.7576 + 4.87153i) q^{22} +(1.98637 - 37.9023i) q^{23} +(45.1577 + 78.2154i) q^{24} +(31.9791 + 120.840i) q^{25} +(-2.61025 - 1.50703i) q^{26} +(126.731 - 64.5727i) q^{27} +(-79.9752 + 90.6198i) q^{28} +(-27.5382 + 37.9031i) q^{29} +(1.92701 - 69.4870i) q^{30} +(-45.2923 + 101.728i) q^{31} +(-172.394 - 46.1929i) q^{32} +(102.084 + 82.6659i) q^{33} +(-6.97225 - 21.4584i) q^{34} +(198.034 - 60.4769i) q^{35} +(-1.56028 + 4.80204i) q^{36} +(-96.5601 + 62.7068i) q^{37} +(-8.32092 - 158.773i) q^{38} +(2.64334 + 12.4359i) q^{39} +(135.504 + 143.234i) q^{40} +(463.033 - 150.448i) q^{41} +(-115.144 + 1.14646i) q^{42} +(91.2438 + 91.2438i) q^{43} +(-166.475 + 17.4972i) q^{44} +(6.58635 - 5.60770i) q^{45} +(-4.81662 + 45.8270i) q^{46} +(201.454 + 77.3311i) q^{47} +(71.6017 + 140.526i) q^{48} +(-112.467 - 324.037i) q^{49} +(-31.0938 - 148.540i) q^{50} +(-47.5863 + 82.4220i) q^{51} +(-13.5877 - 8.82393i) q^{52} +(-232.151 + 187.993i) q^{53} +(-157.754 + 70.2364i) q^{54} +(258.648 + 123.859i) q^{55} +(228.643 - 233.242i) q^{56} +(-474.218 + 474.218i) q^{57} +(35.7961 - 44.2045i) q^{58} +(-313.460 + 348.132i) q^{59} +(29.8922 - 372.458i) q^{60} +(490.372 - 441.533i) q^{61} +(61.3768 - 120.459i) q^{62} +(-9.69358 - 10.5526i) q^{63} +(-28.2391 - 9.17544i) q^{64} +(11.9106 + 25.0708i) q^{65} +(-118.515 - 106.712i) q^{66} +(-142.751 + 54.7969i) q^{67} +(-31.3898 - 117.148i) q^{68} +(157.249 - 114.248i) q^{69} +(-243.942 + 60.7400i) q^{70} +(-557.789 - 405.257i) q^{71} +(4.88983 - 12.7385i) q^{72} +(108.656 - 167.316i) q^{73} +(121.055 - 69.8912i) q^{74} +(-377.866 + 516.723i) q^{75} -854.619i q^{76} +(188.887 - 435.876i) q^{77} +(-2.41464 - 15.2455i) q^{78} +(-528.116 - 1186.17i) q^{79} +(223.214 + 262.169i) q^{80} +(646.344 + 287.771i) q^{81} +(-570.947 + 152.985i) q^{82} +(-60.7388 + 383.490i) q^{83} +(-618.405 - 26.2382i) q^{84} +(-59.3198 + 199.130i) q^{85} +(-104.828 - 116.423i) q^{86} +(-239.602 + 12.5570i) q^{87} +(451.735 - 23.6744i) q^{88} +(-1002.48 - 1113.37i) q^{89} +(-8.34169 + 6.38036i) q^{90} +(40.7571 - 21.2805i) q^{91} +(-38.7473 + 244.641i) q^{92} +(-550.837 + 147.596i) q^{93} +(-239.332 - 106.558i) q^{94} +(-766.933 + 1247.19i) q^{95} +(-371.758 - 834.983i) q^{96} +(84.4782 + 533.374i) q^{97} +(115.768 + 400.014i) q^{98} -19.8453i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 928 q - 8 q^{2} - 24 q^{3} - 10 q^{4} - 24 q^{7} + 84 q^{8} - 10 q^{9} - 96 q^{10} - 6 q^{11} - 72 q^{12} - 20 q^{14} - 368 q^{15} - 1670 q^{16} + 120 q^{17} - 14 q^{18} - 30 q^{19} - 12 q^{21} - 880 q^{22}+ \cdots - 19478 q^{98}+O(q^{100}) \) 928 * q - 8 * q^2 - 24 * q^3 - 10 * q^4 - 24 * q^7 + 84 * q^8 - 10 * q^9 - 96 * q^10 - 6 * q^11 - 72 * q^12 - 20 * q^14 - 368 * q^15 - 1670 * q^16 + 120 * q^17 - 14 * q^18 - 30 * q^19 - 12 * q^21 - 880 * q^22 + 296 * q^23 + 32 * q^25 - 48 * q^26 + 226 * q^28 - 200 * q^29 - 38 * q^30 - 18 * q^31 - 964 * q^32 - 1092 * q^33 + 288 * q^35 + 7400 * q^36 - 392 * q^37 + 5424 * q^38 + 2430 * q^39 + 2172 * q^40 - 2098 * q^42 + 1560 * q^43 - 10 * q^44 - 4224 * q^45 - 6 * q^46 + 96 * q^47 + 6232 * q^50 - 16 * q^51 - 8928 * q^52 - 2384 * q^53 - 30 * q^54 + 244 * q^56 + 1556 * q^57 + 640 * q^58 + 4890 * q^59 + 3676 * q^60 - 18 * q^61 + 224 * q^63 - 9700 * q^64 - 1116 * q^65 - 2610 * q^66 - 2404 * q^67 - 13614 * q^68 - 1700 * q^70 - 24 * q^71 - 518 * q^72 - 4200 * q^73 - 16104 * q^75 - 722 * q^77 - 356 * q^78 - 10 * q^79 + 6414 * q^80 - 6810 * q^81 + 1692 * q^82 + 20620 * q^84 + 2712 * q^85 - 6 * q^86 + 9102 * q^87 + 1650 * q^88 + 20370 * q^89 - 12 * q^91 + 1612 * q^92 - 4604 * q^93 - 30 * q^94 + 1652 * q^95 - 2610 * q^96 - 19478 * q^98

Introduction

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