LMFDB - Embedded newform 175.4.x.a.103.19

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			103.19
Character	$\chi$	$=$	175.103
Dual form			175.4.x.a.17.19

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-2.60067 - 0.136295i) q^{2} +(4.66596 + 5.76198i) q^{3} +(-1.21127 - 0.127309i) q^{4} +(1.25058 + 11.1102i) q^{5} +(-11.3493 - 15.6209i) q^{6} +(-1.27366 + 18.4764i) q^{7} +(23.7102 + 3.75532i) q^{8} +(-5.81561 + 27.3603i) q^{9} +(-1.73808 - 29.0644i) q^{10} +(-17.0160 + 3.61685i) q^{11} +(-4.91817 - 7.57332i) q^{12} +(19.8203 + 10.0990i) q^{13} +(5.83063 - 47.8775i) q^{14} +(-58.1814 + 59.0454i) q^{15} +(-51.6199 - 10.9721i) q^{16} +(40.0328 + 104.289i) q^{17} +(18.8536 - 70.3625i) q^{18} +(-10.2874 - 97.8778i) q^{19} +(-0.100358 - 13.6166i) q^{20} +(-112.404 + 78.8713i) q^{21} +(44.7458 - 7.08704i) q^{22} +(8.15245 - 155.558i) q^{23} +(88.9926 + 154.140i) q^{24} +(-121.872 + 27.7883i) q^{25} +(-50.1697 - 28.9655i) q^{26} +(-6.41822 + 3.27025i) q^{27} +(3.89497 - 22.2177i) q^{28} +(-6.80071 + 9.36037i) q^{29} +(159.358 - 145.628i) q^{30} +(-10.0475 + 22.5671i) q^{31} +(-52.7511 - 14.1346i) q^{32} +(-100.236 - 81.1695i) q^{33} +(-89.8979 - 276.677i) q^{34} +(-206.869 + 8.95561i) q^{35} +(10.5275 - 32.4003i) q^{36} +(-271.906 + 176.578i) q^{37} +(13.4138 + 255.950i) q^{38} +(34.2909 + 161.326i) q^{39} +(-12.0708 + 268.121i) q^{40} +(-277.574 + 90.1893i) q^{41} +(303.074 - 189.798i) q^{42} +(245.716 + 245.716i) q^{43} +(21.0713 - 2.21469i) q^{44} +(-311.251 - 30.3962i) q^{45} +(-42.4037 + 403.444i) q^{46} +(-181.708 - 69.7512i) q^{47} +(-177.635 - 348.628i) q^{48} +(-339.756 - 47.0655i) q^{49} +(320.737 - 55.6577i) q^{50} +(-414.119 + 717.276i) q^{51} +(-22.7221 - 14.7559i) q^{52} +(148.211 - 120.019i) q^{53} +(17.1374 - 7.63006i) q^{54} +(-61.4637 - 184.527i) q^{55} +(-99.5837 + 433.296i) q^{56} +(515.969 - 515.969i) q^{57} +(18.9622 - 23.4163i) q^{58} +(385.789 - 428.462i) q^{59} +(77.9904 - 64.1128i) q^{60} +(317.309 - 285.706i) q^{61} +(29.2061 - 57.3202i) q^{62} +(-498.113 - 142.299i) q^{63} +(536.783 + 174.411i) q^{64} +(-87.4144 + 232.837i) q^{65} +(249.618 + 224.757i) q^{66} +(-84.7160 + 32.5194i) q^{67} +(-35.2135 - 131.418i) q^{68} +(934.361 - 678.853i) q^{69} +(539.219 + 4.90471i) q^{70} +(518.857 + 376.972i) q^{71} +(-240.636 + 626.878i) q^{72} +(137.754 - 212.122i) q^{73} +(731.206 - 422.162i) q^{74} +(-728.766 - 572.565i) q^{75} +119.866i q^{76} +(-45.1538 - 319.000i) q^{77} +(-67.1912 - 424.229i) q^{78} +(409.928 + 920.714i) q^{79} +(57.3477 - 587.228i) q^{80} +(641.148 + 285.458i) q^{81} +(734.171 - 196.721i) q^{82} +(35.9505 - 226.983i) q^{83} +(146.192 - 81.2243i) q^{84} +(-1108.60 + 575.193i) q^{85} +(-605.536 - 672.516i) q^{86} +(-85.6660 + 4.48957i) q^{87} +(-417.034 + 21.8558i) q^{88} +(378.752 + 420.646i) q^{89} +(805.318 + 121.473i) q^{90} +(-211.837 + 353.346i) q^{91} +(-29.6788 + 187.385i) q^{92} +(-176.913 + 47.4036i) q^{93} +(463.056 + 206.166i) q^{94} +(1074.57 - 236.699i) q^{95} +(-164.691 - 369.902i) q^{96} +(-20.7184 - 130.811i) q^{97} +(877.177 + 168.709i) q^{98} -486.596i 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 $

$2$	−2.60067	−	0.136295i	−0.919476	−	0.0481877i	−0.413278	−	0.910605i	$-0.635616\pi$
$2$	−2.60067	−	0.136295i	−0.919476	−	0.0481877i	−0.506198	+	0.862417i	$0.668949\pi$
$3$	4.66596	+	5.76198i	0.897964	+	1.10889i	0.993541	+	0.113471i	$0.0361969\pi$
$3$	4.66596	+	5.76198i	0.897964	+	1.10889i	−0.0955773	+	0.995422i	$0.530470\pi$
$4$	−1.21127	−	0.127309i	−0.151409	−	0.0159137i
$5$	1.25058	+	11.1102i	0.111855	+	0.993725i
$5$	1.25058	+	11.1102i	0.111855	+	0.993725i
$6$	−11.3493	−	15.6209i	−0.772221	−	1.06287i
$7$	−1.27366	+	18.4764i	−0.0687714	+	0.997632i
$7$	−1.27366	+	18.4764i	−0.0687714	+	0.997632i
$8$	23.7102	+	3.75532i	1.04785	+	0.165963i
$9$	−5.81561	+	27.3603i	−0.215393	+	1.01334i
$10$	−1.73808	−	29.0644i	−0.0549630	−	0.919095i
$11$	−17.0160	+	3.61685i	−0.466409	+	0.0991384i	−0.435121	−	0.900372i	$-0.643294\pi$
$11$	−17.0160	+	3.61685i	−0.466409	+	0.0991384i	−0.0312884	+	0.999510i	$0.509961\pi$
$12$	−4.91817	−	7.57332i	−0.118313	−	0.182186i
$13$	19.8203	+	10.0990i	0.422860	+	0.215458i	0.652453	−	0.757829i	$-0.273740\pi$
$13$	19.8203	+	10.0990i	0.422860	+	0.215458i	−0.229594	+	0.973287i	$0.573740\pi$
$14$	5.83063	−	47.8775i	0.111307	−	0.913985i
$15$	−58.1814	+	59.0454i	−1.00149	+	1.01636i
$16$	−51.6199	−	10.9721i	−0.806561	−	0.171440i
$17$	40.0328	+	104.289i	0.571140	+	1.48787i	0.849603	+	0.527423i	$0.176842\pi$
$17$	40.0328	+	104.289i	0.571140	+	1.48787i	−0.278463	+	0.960447i	$0.589825\pi$
$18$	18.8536	−	70.3625i	0.246879	−	0.921366i
$19$	−10.2874	−	97.8778i	−0.124215	−	1.18183i	−0.862042	−	0.506837i	$-0.830815\pi$
$19$	−10.2874	−	97.8778i	−0.124215	−	1.18183i	0.737827	−	0.674990i	$-0.235852\pi$
$20$	−0.100358	−	13.6166i	−0.00112204	−	0.152238i
$21$	−112.404	+	78.8713i	−1.16802	+	0.819578i
$22$	44.7458	−	7.08704i	0.433629	−	0.0686801i
$23$	8.15245	−	155.558i	0.0739089	−	1.41027i	−0.670187	−	0.742192i	$-0.733786\pi$
$23$	8.15245	−	155.558i	0.0739089	−	1.41027i	0.744096	−	0.668073i	$-0.232881\pi$
$24$	88.9926	+	154.140i	0.756897	+	1.31098i
$25$	−121.872	+	27.7883i	−0.974977	+	0.222307i
$26$	−50.1697	−	28.9655i	−0.378427	−	0.218485i
$27$	−6.41822	+	3.27025i	−0.0457477	+	0.0233096i
$28$	3.89497	−	22.2177i	0.0262886	−	0.149956i
$29$	−6.80071	+	9.36037i	−0.0435469	+	0.0599371i	−0.830235	−	0.557413i	$-0.811794\pi$
$29$	−6.80071	+	9.36037i	−0.0435469	+	0.0599371i	0.786688	+	0.617350i	$0.211794\pi$
$30$	159.358	−	145.628i	0.969824	−	0.886263i
$31$	−10.0475	+	22.5671i	−0.0582126	+	0.130748i	−0.940310	−	0.340320i	$-0.889465\pi$
$31$	−10.0475	+	22.5671i	−0.0582126	+	0.130748i	0.882097	+	0.471068i	$0.156131\pi$
$32$	−52.7511	−	14.1346i	−0.291412	−	0.0780835i
$33$	−100.236	−	81.1695i	−0.528753	−	0.428175i
$34$	−89.8979	−	276.677i	−0.453452	−	1.39558i
$35$	−206.869	+	8.95561i	−0.999064	+	0.0432507i
$36$	10.5275	−	32.4003i	0.0487384	−	0.150001i
$37$	−271.906	+	176.578i	−1.20814	+	0.784575i	−0.981882	−	0.189493i	$-0.939316\pi$
$37$	−271.906	+	176.578i	−1.20814	+	0.784575i	−0.226257	+	0.974068i	$0.572649\pi$
$38$	13.4138	+	255.950i	0.0572632	+	1.09265i
$39$	34.2909	+	161.326i	0.140793	+	0.662379i
$40$	−12.0708	+	268.121i	−0.0477141	+	1.05984i
$41$	−277.574	+	90.1893i	−1.05731	+	0.343542i	−0.785534	−	0.618818i	$-0.787612\pi$
$41$	−277.574	+	90.1893i	−1.05731	+	0.343542i	−0.271778	+	0.962360i	$0.587612\pi$
$42$	303.074	−	189.798i	1.11346	−	0.697298i
$43$	245.716	+	245.716i	0.871426	+	0.871426i	0.992628	−	0.121202i	$-0.0386749\pi$
$43$	245.716	+	245.716i	0.871426	+	0.871426i	−0.121202	+	0.992628i	$0.538675\pi$
$44$	21.0713	−	2.21469i	0.0721960	−	0.00758811i
$45$	−311.251	−	30.3962i	−1.03108	−	0.100693i
$46$	−42.4037	+	403.444i	−0.135915	+	1.29314i
$47$	−181.708	−	69.7512i	−0.563933	−	0.216474i	0.0596656	−	0.998218i	$-0.480997\pi$
$47$	−181.708	−	69.7512i	−0.563933	−	0.216474i	−0.623598	+	0.781745i	$0.714330\pi$
$48$	−177.635	−	348.628i	−0.534154	−	1.04834i
$49$	−339.756	−	47.0655i	−0.990541	−	0.137217i
$50$	320.737	−	55.6577i	0.907180	−	0.157424i
$51$	−414.119	+	717.276i	−1.13703	+	1.96939i
$52$	−22.7221	−	14.7559i	−0.0605958	−	0.0393514i
$53$	148.211	−	120.019i	0.384120	−	0.311055i	−0.417739	−	0.908567i	$-0.637177\pi$
$53$	148.211	−	120.019i	0.384120	−	0.311055i	0.801860	+	0.597512i	$0.203844\pi$
$54$	17.1374	−	7.63006i	0.0431871	−	0.0192281i
$55$	−61.4637	−	184.527i	−0.150687	−	0.452393i
$56$	−99.5837	+	433.296i	−0.237633	+	1.03396i
$57$	515.969	−	515.969i	1.19898	−	1.19898i
$58$	18.9622	−	23.4163i	0.0429285	−	0.0530123i
$59$	385.789	−	428.462i	0.851278	−	0.945440i	−0.147772	−	0.989021i	$-0.547210\pi$
$59$	385.789	−	428.462i	0.851278	−	0.945440i	0.999050	+	0.0435817i	$0.0138769\pi$
$60$	77.9904	−	64.1128i	0.167809	−	0.137949i
$61$	317.309	−	285.706i	0.666020	−	0.599687i	−0.265179	−	0.964199i	$-0.585431\pi$
$61$	317.309	−	285.706i	0.666020	−	0.599687i	0.931199	+	0.364512i	$0.118764\pi$
$62$	29.2061	−	57.3202i	0.0598255	−	0.117414i
$63$	−498.113	−	142.299i	−0.996133	−	0.284572i
$64$	536.783	+	174.411i	1.04841	+	0.340647i
$65$	−87.4144	+	232.837i	−0.166807	+	0.444306i
$66$	249.618	+	224.757i	0.465542	+	0.419176i
$67$	−84.7160	+	32.5194i	−0.154473	+	0.0592967i	−0.434376	−	0.900732i	$-0.643031\pi$
$67$	−84.7160	+	32.5194i	−0.154473	+	0.0592967i	0.279903	+	0.960028i	$0.409698\pi$
$68$	−35.2135	−	131.418i	−0.0627979	−	0.234365i
$69$	934.361	−	678.853i	1.63020	−	1.18441i
$70$	539.219	+	4.90471i	0.920699	+	0.00837464i
$71$	518.857	+	376.972i	0.867281	+	0.630117i	0.929856	−	0.367923i	$-0.119931\pi$
$71$	518.857	+	376.972i	0.867281	+	0.630117i	−0.0625746	+	0.998040i	$0.519931\pi$
$72$	−240.636	+	626.878i	−0.393878	+	1.02609i
$73$	137.754	−	212.122i	0.220861	−	0.340097i	−0.710820	−	0.703374i	$-0.751676\pi$
$73$	137.754	−	212.122i	0.220861	−	0.340097i	0.931681	+	0.363278i	$0.118342\pi$
$74$	731.206	−	422.162i	1.14866	−	0.663180i
$75$	−728.766	−	572.565i	−1.12201	−	0.881522i
$76$			119.866i			0.180915i
$77$	−45.1538	−	319.000i	−0.0668280	−	0.472123i
$78$	−67.1912	−	424.229i	−0.0975373	−	0.615826i
$79$	409.928	+	920.714i	0.583804	+	1.31125i	0.928081	+	0.372377i	$0.121457\pi$
$79$	409.928	+	920.714i	0.583804	+	1.31125i	−0.344277	+	0.938868i	$0.611876\pi$
$80$	57.3477	−	587.228i	0.0801458	−	0.820676i
$81$	641.148	+	285.458i	0.879490	+	0.391574i
$82$	734.171	−	196.721i	0.988727	−	0.264929i
$83$	35.9505	−	226.983i	0.0475431	−	0.300176i	−0.952447	−	0.304706i	$-0.901442\pi$
$83$	35.9505	−	226.983i	0.0475431	−	0.300176i	0.999990	+	0.00452998i	$0.00144194\pi$
$84$	146.192	−	81.2243i	0.189891	−	0.105504i
$85$	−1108.60	+	575.193i	−1.41465	+	0.733982i
$86$	−605.536	−	672.516i	−0.759263	−	0.843247i
$87$	−85.6660	+	4.48957i	−0.105567	+	0.00553255i
$88$	−417.034	+	21.8558i	−0.505181	+	0.0264754i
$89$	378.752	+	420.646i	0.451097	+	0.500994i	0.925202	−	0.379474i	$-0.123895\pi$
$89$	378.752	+	420.646i	0.451097	+	0.500994i	−0.474106	+	0.880468i	$0.657228\pi$
$90$	805.318	+	121.473i	0.943199	+	0.142270i
$91$	−211.837	+	353.346i	−0.244028	+	0.407041i
$92$	−29.6788	+	187.385i	−0.0336329	+	0.212350i
$93$	−176.913	+	47.4036i	−0.197258	+	0.0528551i
$94$	463.056	+	206.166i	0.508091	+	0.226217i
$95$	1074.57	−	236.699i	1.16052	−	0.255629i
$96$	−164.691	−	369.902i	−0.175091	−	0.393260i
$97$	−20.7184	−	130.811i	−0.0216869	−	0.136926i	0.974469	−	0.224521i	$-0.0720818\pi$
$97$	−20.7184	−	130.811i	−0.0216869	−	0.136926i	−0.996156	+	0.0875953i	$0.972082\pi$
$98$	877.177	+	168.709i	0.904166	+	0.173900i
$99$		−	486.596i		−	0.493987i
$100$	151.158	−	18.1437i	0.151158	−	0.0181437i
$101$	562.645	−	324.843i	0.554309	−	0.320031i	−0.196549	−	0.980494i	$-0.562973\pi$
$101$	562.645	−	324.843i	0.554309	−	0.320031i	0.750858	+	0.660463i	$0.229640\pi$
$102$	1174.75	−	1808.95i	1.14037	−	1.75601i
$103$	−383.726	+	999.641i	−0.367084	+	0.956287i	0.618300	+	0.785942i	$0.287822\pi$
$103$	−383.726	+	999.641i	−0.367084	+	0.956287i	−0.985384	+	0.170345i	$0.945512\pi$
$104$	432.019	+	313.880i	0.407336	+	0.295947i
$105$	−1016.84	−	1150.19i	−0.945084	−	1.06902i
$106$	−401.807	+	291.930i	−0.368178	+	0.267497i
$107$	−408.845	−	1525.83i	−0.369388	−	1.37858i	−0.861373	−	0.507973i	$-0.830395\pi$
$107$	−408.845	−	1525.83i	−0.369388	−	1.37858i	0.491985	−	0.870604i	$-0.336272\pi$
$108$	8.19053	−	3.14405i	0.00729753	−	0.00280126i
$109$	1287.05	+	1158.87i	1.13098	+	1.01834i	0.999635	+	0.0270066i	$0.00859751\pi$
$109$	1287.05	+	1158.87i	1.13098	+	1.01834i	0.131349	+	0.991336i	$0.458069\pi$
$110$	134.697	+	488.271i	0.116753	+	0.423226i
$111$	−2286.14	−	742.813i	−1.95487	−	0.635177i
$112$	268.472	−	939.775i	0.226502	−	0.792861i
$113$	316.002	−	620.189i	0.263070	−	0.516305i	−0.721254	−	0.692670i	$-0.756434\pi$
$113$	316.002	−	620.189i	0.263070	−	0.516305i	0.984325	+	0.176366i	$0.0564341\pi$
$114$	−1412.19	+	1271.54i	−1.16021	+	1.04466i
$115$	1738.47	−	103.963i	1.40968	−	0.0843006i
$116$	9.42914	−	10.4721i	0.00754719	−	0.00838200i
$117$	−391.578	+	483.559i	−0.309414	+	0.382094i
$118$	−1061.71	+	1061.71i	−0.828288	+	0.828288i
$119$	−1977.87	+	606.833i	−1.52362	+	0.467465i
$120$	−1601.23	+	1181.49i	−1.21809	+	0.898788i
$121$	−939.468	+	418.278i	−0.705836	+	0.314259i
$122$	−864.155	+	699.779i	−0.641286	+	0.519303i
$123$	−1814.82	−	1178.56i	−1.33038	−	0.863958i
$124$	15.0433	−	26.0557i	0.0108946	−	0.0188699i
$125$	−461.144	−	1319.27i	−0.329968	−	0.943992i
$126$	1276.03	+	437.964i	0.902207	+	0.309659i
$127$	1291.70	+	2535.11i	0.902521	+	1.77130i	0.548824	+	0.835938i	$0.315076\pi$
$127$	1291.70	+	2535.11i	0.902521	+	1.77130i	0.353697	+	0.935360i	$0.384924\pi$
$128$	−964.347	−	370.178i	−0.665915	−	0.255621i
$129$	−269.310	+	2562.31i	−0.183809	+	1.74883i
$130$	259.071	−	593.618i	0.174785	−	0.400491i
$131$	−103.881	+	10.9183i	−0.0692832	+	0.00728195i	−0.139107	−	0.990277i	$-0.544423\pi$
$131$	−103.881	+	10.9183i	−0.0692832	+	0.00728195i	0.0698234	+	0.997559i	$0.477756\pi$
$132$	111.079	+	111.079i	0.0732438	+	0.0732438i
$133$	1821.53	−	65.4103i	1.18757	−	0.0426450i
$134$	224.750	−	73.0259i	0.144892	−	0.0470782i
$135$	−44.3596	−	67.2179i	−0.0282805	−	0.0428533i
$136$	557.545	+	2623.04i	0.351538	+	1.65385i
$137$	56.9778	+	1087.20i	0.0355324	+	0.677999i	0.957096	+	0.289771i	$0.0935793\pi$
$137$	56.9778	+	1087.20i	0.0355324	+	0.677999i	−0.921563	+	0.388228i	$0.873087\pi$
$138$	−2522.49	+	1638.12i	−1.55600	+	1.01048i
$139$	−772.143	+	2376.41i	−0.471168	+	1.45011i	0.379889	+	0.925032i	$0.375962\pi$
$139$	−772.143	+	2376.41i	−0.471168	+	1.45011i	−0.851057	+	0.525074i	$0.824038\pi$
$140$	251.714	+	15.4887i	0.151955	+	0.00935026i
$141$	−445.937	−	1372.45i	−0.266345	−	0.819727i
$142$	−1298.00	−	1051.10i	−0.767080	−	0.621169i
$143$	−373.789	−	100.156i	−0.218586	−	0.0585699i
$144$	600.402	−	1348.53i	0.347455	−	0.780397i
$145$	−112.500	−	63.8512i	−0.0644319	−	0.0365693i
$146$	−387.164	+	532.885i	−0.219465	+	0.302068i
$147$	−1314.09	−	2177.27i	−0.737311	−	1.22162i
$148$	351.832	−	179.267i	0.195408	−	0.0995654i
$149$	−1918.87	−	1107.86i	−1.05503	−	0.609123i	−0.130978	−	0.991385i	$-0.541812\pi$
$149$	−1918.87	−	1107.86i	−1.05503	−	0.609123i	−0.924054	+	0.382262i	$0.875145\pi$
$150$	1817.24	+	1588.38i	0.989181	+	0.864605i
$151$	−560.666	−	971.102i	−0.302161	−	0.523359i	0.674464	−	0.738308i	$-0.264375\pi$
$151$	−560.666	−	971.102i	−0.302161	−	0.523359i	−0.976625	+	0.214949i	$0.931041\pi$
$152$	123.647	−	2359.33i	0.0659811	−	1.25899i
$153$	−3086.19	+	488.805i	−1.63074	+	0.258284i
$154$	73.9520	+	835.769i	0.0386962	+	0.437326i
$155$	−263.290	−	83.4078i	−0.136438	−	0.0432224i
$156$	−20.9971	−	199.774i	−0.0107764	−	0.102530i
$157$	47.1196	−	175.853i	0.0239526	−	0.0893923i	−0.952915	−	0.303238i	$-0.901932\pi$
$157$	47.1196	−	175.853i	0.0239526	−	0.0893923i	0.976867	+	0.213846i	$0.0685990\pi$
$158$	−940.599	−	2450.34i	−0.473608	−	1.23379i
$159$	1383.09	+	293.986i	0.689853	+	0.146633i
$160$	91.0686	−	603.751i	0.0449976	−	0.298317i
$161$	2863.77	+	348.757i	1.40184	+	0.170720i
$162$	−1628.51	−	829.767i	−0.789801	−	0.402424i
$163$	2036.42	+	3135.81i	0.978557	+	1.50685i	0.857684	+	0.514177i	$0.171903\pi$
$163$	2036.42	+	3135.81i	0.978557	+	1.50685i	0.120873	+	0.992668i	$0.461431\pi$
$164$	347.699	−	73.9057i	0.165553	−	0.0351894i
$165$	776.454	−	1215.15i	0.366345	−	0.573328i
$166$	−124.432	+	585.407i	−0.0581795	+	0.273713i
$167$	2753.75	+	436.150i	1.27600	+	0.202098i	0.757417	−	0.652932i	$-0.226461\pi$
$167$	2753.75	+	436.150i	1.27600	+	0.202098i	0.518579	+	0.855030i	$0.326461\pi$
$168$	−2961.29	+	1447.94i	−1.35993	+	0.664947i
$169$	−1000.51	−	1377.08i	−0.455397	−	0.626800i
$170$	2961.51	−	1344.79i	1.33610	−	0.606710i
$171$	2737.79	+	287.754i	1.22435	+	0.128685i
$172$	−266.346	−	328.910i	−0.118074	−	0.145809i
$173$	−2966.86	−	155.487i	−1.30385	−	0.0683320i	−0.612281	−	0.790640i	$-0.709748\pi$
$173$	−2966.86	−	155.487i	−1.30385	−	0.0683320i	−0.691571	+	0.722308i	$0.743081\pi$
$174$	223.401			0.0973332
$175$	−358.205	−	2287.15i	−0.154730	−	0.987957i
$176$	918.046			0.393184
$177$	4268.86	+	223.721i	1.81281	+	0.0950053i
$178$	−927.676	−	1145.58i	−0.390631	−	0.482389i
$179$	−536.163	−	56.3530i	−0.223881	−	0.0235308i	−0.00807627	−	0.999967i	$-0.502571\pi$
$179$	−536.163	−	56.3530i	−0.223881	−	0.0235308i	−0.215805	+	0.976437i	$0.569237\pi$
$180$	373.138	+	76.4431i	0.154512	+	0.0316541i
$181$	−1409.09	−	1939.45i	−0.578657	−	0.796453i	0.414891	−	0.909871i	$-0.363820\pi$
$181$	−1409.09	−	1939.45i	−0.578657	−	0.796453i	−0.993547	+	0.113419i	$0.963820\pi$
$182$	599.078	−	890.064i	0.243992	−	0.362505i
$183$	3126.78	+	495.233i	1.26305	+	0.200048i
$184$	777.467	−	3657.69i	0.311498	−	1.46548i
$185$	−2301.86	−	2800.10i	−0.914788	−	1.11280i
$186$	466.552	−	99.1687i	0.183921	−	0.0390936i
$187$	−1058.39	−	1629.78i	−0.413890	−	0.637334i
$188$	211.217	+	107.621i	0.0819394	+	0.0417502i
$189$	−52.2478	−	122.751i	−0.0201083	−	0.0472424i
$190$	−2826.87	+	469.115i	−1.07938	+	0.179122i
$191$	78.0604	+	16.5923i	0.0295720	+	0.00628573i	0.222674	−	0.974893i	$-0.428521\pi$
$191$	78.0604	+	16.5923i	0.0295720	+	0.00628573i	−0.193102	+	0.981179i	$0.561855\pi$
$192$	1499.65	+	3906.73i	0.563688	+	1.46846i
$193$	175.801	−	656.097i	0.0655669	−	0.244699i	−0.925362	−	0.379084i	$-0.876239\pi$
$193$	175.801	−	656.097i	0.0655669	−	0.244699i	0.990929	+	0.134385i	$0.0429059\pi$
$194$	36.0527	+	343.019i	0.0133425	+	0.126945i
$195$	−1749.47	+	582.728i	−0.642474	+	0.214000i
$196$	405.543	+	100.263i	0.147793	+	0.0365390i
$197$	−270.475	+	42.8390i	−0.0978200	+	0.0154932i	−0.205153	−	0.978730i	$-0.565769\pi$
$197$	−270.475	+	42.8390i	−0.0978200	+	0.0154932i	0.107333	+	0.994223i	$0.465769\pi$
$198$	−66.3207	+	1265.48i	−0.0238041	+	0.454209i
$199$	1477.49	+	2559.08i	0.526312	+	0.911600i	0.999530	+	0.0306541i	$0.00975903\pi$
$199$	1477.49	+	2559.08i	0.526312	+	0.911600i	−0.473218	+	0.880945i	$0.656908\pi$
$200$	−2993.96	+	201.197i	−1.05853	+	0.0711340i
$201$	−582.657	−	336.397i	−0.204465	−	0.118048i
$202$	−1507.53	+	768.124i	−0.525095	+	0.267549i
$203$	−164.284	−	137.575i	−0.0568004	−	0.0475657i
$204$	592.926	−	816.092i	0.203496	−	0.280088i
$205$	−1349.15	−	2971.11i	−0.459652	−	1.01225i
$206$	1134.19	−	2547.44i	0.383606	−	0.861594i
$207$	4208.71	+	1127.72i	1.41317	+	0.378657i
$208$	−912.317	−	738.779i	−0.304124	−	0.246275i
$209$	529.059	+	1628.28i	0.175099	+	0.538901i
$210$	2487.71	+	3129.85i	0.817468	+	1.02848i
$211$	−1370.92	+	4219.25i	−0.447289	+	1.37661i	0.432665	+	0.901555i	$0.357573\pi$
$211$	−1370.92	+	4219.25i	−0.447289	+	1.37661i	−0.879954	+	0.475059i	$0.842427\pi$
$212$	−194.803	+	126.507i	−0.0631091	+	0.0409836i
$213$	248.862	+	4748.58i	0.0800552	+	1.52754i
$214$	855.308	+	4023.91i	0.273213	+	1.28537i
$215$	−2422.66	+	3037.23i	−0.768484	+	0.963431i
$216$	−164.458	+	53.4356i	−0.0518053	+	0.0168326i
$217$	−404.162	−	214.385i	−0.126435	−	0.0670664i
$218$	−3189.25	−	3189.25i	−0.990841	−	0.990841i
$219$	1865.00	−	196.019i	0.575456	−	0.0604829i
$220$	50.9570	+	231.337i	0.0156160	+	0.0708942i
$221$	−259.748	+	2471.33i	−0.0790611	+	0.752216i
$222$	5844.26	+	2243.40i	1.76685	+	0.678231i
$223$	2036.07	+	3996.00i	0.611413	+	1.19996i	0.964428	+	0.264347i	$0.0851565\pi$
$223$	2036.07	+	3996.00i	0.611413	+	1.19996i	−0.353015	+	0.935618i	$0.614844\pi$
$224$	328.344	−	956.649i	0.0979394	−	0.285352i
$225$	−51.5366	−	3496.06i	−0.0152701	−	1.03587i
$226$	−906.346	+	1569.84i	−0.266766	+	0.462053i
$227$	−1992.17	−	1293.73i	−0.582490	−	0.378273i	0.219499	−	0.975613i	$-0.429558\pi$
$227$	−1992.17	−	1293.73i	−0.582490	−	0.378273i	−0.801988	+	0.597340i	$0.796224\pi$
$228$	−690.665	+	559.289i	−0.200616	+	0.162455i
$229$	2771.38	−	1233.90i	0.799730	−	0.356063i	0.0341609	−	0.999416i	$-0.489124\pi$
$229$	2771.38	−	1233.90i	0.799730	−	0.356063i	0.765569	+	0.643354i	$0.222457\pi$
$230$	−4535.37	+	33.4268i	−1.30023	+	0.00958305i
$231$	1627.39	−	1748.62i	0.463525	−	0.498055i
$232$	−196.397	+	196.397i	−0.0555780	+	0.0555780i
$233$	1295.19	−	1599.43i	0.364166	−	0.449708i	−0.561823	−	0.827257i	$-0.689900\pi$
$233$	1295.19	−	1599.43i	0.364166	−	0.449708i	0.925989	+	0.377549i	$0.123233\pi$
$234$	1084.27	−	1204.21i	0.302911	−	0.336417i
$235$	547.707	−	2106.04i	0.152036	−	0.584608i
$236$	−521.841	+	469.867i	−0.143936	+	0.129601i
$237$	−3392.42	+	6658.01i	−0.929796	+	1.82483i
$238$	5226.50	−	1308.60i	1.42346	−	0.356402i
$239$	−5428.29	−	1763.76i	−1.46915	−	0.477356i	−0.538299	−	0.842754i	$-0.680933\pi$
$239$	−5428.29	−	1763.76i	−1.46915	−	0.477356i	−0.930852	+	0.365398i	$0.880933\pi$
$240$	3651.17	−	2409.54i	0.982009	−	0.648064i
$241$	−1560.02	−	1404.64i	−0.416968	−	0.375440i	0.433775	−	0.901021i	$-0.357181\pi$
$241$	−1560.02	−	1404.64i	−0.416968	−	0.375440i	−0.850743	+	0.525581i	$0.823848\pi$
$242$	2500.26	−	959.758i	0.664143	−	0.254940i
$243$	1397.11	+	5214.08i	0.368825	+	1.37647i
$244$	−420.719	+	305.670i	−0.110384	+	0.0801989i
$245$	98.0141	−	3833.60i	0.0255587	−	0.999673i
$246$	4559.11	+	3312.39i	1.18162	+	0.858497i
$247$	784.566	−	2043.86i	0.202108	−	0.526510i
$248$	−322.975	+	497.339i	−0.0826974	+	0.127343i
$249$	1475.61	−	851.945i	0.375555	−	0.216827i
$250$	1019.47	+	3493.84i	0.257909	+	0.883878i
$251$			4623.99i			1.16280i	0.813617	+	0.581402i	$0.197496\pi$
$251$			4623.99i			1.16280i	−0.813617	+	0.581402i	$0.802504\pi$
$252$	585.233	+	235.777i	0.146294	+	0.0589388i
$253$	423.909	+	2676.46i	0.105340	+	0.665088i
$254$	−3013.77	−	6769.04i	−0.744492	−	1.67216i
$255$	−8486.95	−	3703.93i	−2.08421	−	0.909604i
$256$	−1667.40	−	742.374i	−0.407080	−	0.181244i
$257$	1024.73	−	274.575i	0.248719	−	0.0666440i	−0.132306	−	0.991209i	$-0.542238\pi$
$257$	1024.73	−	274.575i	0.248719	−	0.0666440i	0.381025	+	0.924565i	$0.375571\pi$
$258$	1049.62	−	6627.01i	0.253280	−	1.59915i
$259$	−2916.21	−	5248.76i	−0.699632	−	1.25924i
$260$	135.525	−	270.900i	0.0323265	−	0.0646172i
$261$	−216.552	−	240.506i	−0.0513573	−	0.0570380i
$262$	271.647	−	14.2364i	0.0640551	−	0.00335698i
$263$	7457.19	−	390.815i	1.74840	−	0.0916300i	0.848903	−	0.528549i	$-0.177264\pi$
$263$	7457.19	−	390.815i	1.74840	−	0.0916300i	0.899501	+	0.436919i	$0.143930\pi$
$264$	−2071.79	−	2300.96i	−0.482993	−	0.536418i
$265$	1518.78	+	1496.56i	0.352068	+	0.346917i
$266$	−4746.12	−	78.1559i	−1.09400	−	0.0180152i
$267$	−656.516	+	4145.08i	−0.150480	+	0.950092i
$268$	106.754	−	28.6046i	0.0243322	−	0.00651979i
$269$	5218.14	+	2323.27i	1.18273	+	0.526587i	0.901385	−	0.433018i	$-0.142551\pi$
$269$	5218.14	+	2323.27i	1.18273	+	0.526587i	0.281349	+	0.959605i	$0.409218\pi$
$270$	106.203	+	180.858i	0.0239382	+	0.0407653i
$271$	−3121.87	−	7011.84i	−0.699780	−	1.57173i	−0.815702	−	0.578472i	$-0.803649\pi$
$271$	−3121.87	−	7011.84i	−0.699780	−	1.57173i	0.115922	−	0.993258i	$-0.463018\pi$
$272$	−922.214	−	5822.63i	−0.205579	−	1.29797i
$273$	−3024.40	+	428.097i	−0.670494	+	0.0949070i
$274$		−	2835.22i		−	0.625116i
$275$	1973.26	−	913.638i	0.432699	−	0.200344i
$276$	−1218.19	+	703.320i	−0.265675	+	0.153387i
$277$	1750.36	−	2695.32i	0.379672	−	0.584644i	−0.596240	−	0.802806i	$-0.703340\pi$
$277$	1750.36	−	2695.32i	0.379672	−	0.584644i	0.975913	+	0.218162i	$0.0700062\pi$
$278$	2331.98	−	6075.03i	0.503105	−	1.31063i
$279$	−559.011	−	406.145i	−0.119954	−	0.0871515i
$280$	−4938.53	−	564.521i	−1.05405	−	0.120488i
$281$	2679.55	−	1946.81i	0.568857	−	0.413299i	−0.265833	−	0.964019i	$-0.585647\pi$
$281$	2679.55	−	1946.81i	0.568857	−	0.413299i	0.834690	+	0.550720i	$0.185647\pi$
$282$	972.677	+	3630.08i	0.205397	+	0.766553i
$283$	4291.04	−	1647.18i	0.901328	−	0.345987i	0.136816	−	0.990597i	$-0.456313\pi$
$283$	4291.04	−	1647.18i	0.901328	−	0.345987i	0.764512	+	0.644609i	$0.222980\pi$
$284$	−580.483	−	522.669i	−0.121286	−	0.109207i
$285$	6377.77	+	5087.25i	1.32557	+	1.05734i
$286$	958.450	+	311.419i	0.198162	+	0.0643867i
$287$	−1312.84	−	5243.45i	−0.270015	−	1.07843i
$288$	693.508	−	1361.09i	0.141894	−	0.278482i
$289$	−5622.49	+	5062.51i	−1.14441	+	1.03043i
$290$	283.873	+	181.389i	0.0574814	+	0.0367294i
$291$	657.057	−	729.736i	0.132362	−	0.147003i
$292$	−193.862	+	239.400i	−0.0388525	+	0.0479788i
$293$	2162.03	−	2162.03i	0.431082	−	0.431082i	−0.457914	−	0.888996i	$-0.651403\pi$
$293$	2162.03	−	2162.03i	0.431082	−	0.431082i	0.888996	+	0.457914i	$0.151403\pi$
$294$	3120.78	+	5841.46i	0.619072	+	1.15878i
$295$	5242.74	+	3750.35i	1.03473	+	0.740183i
$296$	−7110.06	+	3165.60i	−1.39616	+	0.621611i
$297$	97.3842	−	78.8602i	0.0190263	−	0.0154072i
$298$	4839.34	+	3142.71i	0.940724	+	0.610913i
$299$	1732.56	−	3000.88i	0.335106	−	0.580420i
$300$	809.838	+	786.309i	0.155853	+	0.151325i
$301$	−4852.91	+	4226.99i	−0.929292	+	0.809434i
$302$	1325.75	+	2601.93i	0.252611	+	0.495776i
$303$	4497.01	+	1726.24i	0.852629	+	0.327294i
$304$	−542.896	+	5165.31i	−0.102425	+	0.974510i
$305$	3571.06	+	3168.06i	0.670421	+	0.594762i
$306$	8092.79	−	850.586i	1.51188	−	0.158905i
$307$	2087.93	+	2087.93i	0.388158	+	0.388158i	0.874030	−	0.485872i	$-0.161498\pi$
$307$	2087.93	+	2087.93i	0.388158	+	0.388158i	−0.485872	+	0.874030i	$0.661498\pi$
$308$	14.0817	+	392.144i	0.00260512	+	0.0725469i
$309$	−7550.36	+	2453.26i	−1.39005	+	0.451654i
$310$	673.362	+	252.801i	0.123369	+	0.0463166i
$311$	500.660	+	2355.42i	0.0912856	+	0.429465i	0.999929	+	0.0118927i	$0.00378565\pi$
$311$	500.660	+	2355.42i	0.0912856	+	0.429465i	−0.908644	+	0.417572i	$0.862881\pi$
$312$	207.212	+	3953.83i	0.0375995	+	0.717442i
$313$	−6347.56	+	4122.16i	−1.14628	+	0.744403i	−0.970755	−	0.240072i	$-0.922829\pi$
$313$	−6347.56	+	4122.16i	−1.14628	+	0.744403i	−0.175525	+	0.984475i	$0.556162\pi$
$314$	−146.511	+	450.913i	−0.0263314	+	0.0810398i
$315$	958.042	−	5712.08i	0.171364	−	1.02171i
$316$	−379.317	−	1167.42i	−0.0675262	−	0.207824i
$317$	−310.809	−	251.689i	−0.0550688	−	0.0445938i	0.601391	−	0.798955i	$-0.294613\pi$
$317$	−310.809	−	251.689i	−0.0550688	−	0.0445938i	−0.656460	+	0.754361i	$0.727947\pi$
$318$	−3556.90	−	953.070i	−0.627237	−	0.168068i
$319$	81.8654	−	183.873i	0.0143686	−	0.0322724i
$320$	−1266.45	+	6181.87i	−0.221240	+	1.07993i
$321$	6884.15	−	9475.22i	1.19700	−	1.64752i
$322$	−7400.19	−	1297.32i	−1.28073	−	0.224524i
$323$	9795.74	−	4991.18i	1.68746	−	0.859804i
$324$	−740.261	−	427.390i	−0.126931	−	0.0732836i
$325$	−2696.18	−	680.008i	−0.460176	−	0.116062i
$326$	−4868.66	−	8432.77i	−0.827148	−	1.43266i
$327$	−672.035	+	12823.2i	−0.113650	+	2.16858i
$328$	−6920.02	+	1096.02i	−1.16492	+	0.184505i
$329$	1520.19	−	3268.47i	0.254743	−	0.547710i
$330$	−2184.92	+	3054.37i	−0.364472	+	0.509508i
$331$	−428.116	−	4073.25i	−0.0710917	−	0.676393i	−0.970798	−	0.239897i	$-0.922886\pi$
$331$	−428.116	−	4073.25i	−0.0710917	−	0.676393i	0.899707	−	0.436495i	$-0.143780\pi$
$332$	−72.4427	+	270.360i	−0.0119753	+	0.0446926i
$333$	−3249.93	−	8466.35i	−0.534820	−	1.39325i
$334$	−7102.14	−	1509.61i	−1.16351	−	0.247311i
$335$	−467.241	−	900.541i	−0.0762032	−	0.146871i
$336$	6667.64	−	2838.02i	1.08259	−	0.460794i
$337$	−10624.3	−	5413.37i	−1.71734	−	0.875029i	−0.979866	−	0.199655i	$-0.936018\pi$
$337$	−10624.3	−	5413.37i	−1.71734	−	0.875029i	−0.737475	−	0.675374i	$-0.763982\pi$
$338$	2414.30	+	3717.69i	0.388522	+	0.598272i
$339$	5047.97	−	1072.98i	0.808755	−	0.171906i
$340$	1416.04	−	555.577i	0.225870	−	0.0886188i
$341$	89.3463	−	420.342i	0.0141888	−	0.0667530i
$342$	−7080.88	−	1121.50i	−1.11956	−	0.177321i
$343$	1302.34	−	6217.52i	0.205013	−	0.978759i
$344$	4903.22	+	6748.71i	0.768500	+	1.05775i
$345$	8710.67	+	9531.96i	1.35932	+	1.48749i
$346$	7694.64	+	808.739i	1.19557	+	0.125659i
$347$	6681.04	+	8250.40i	1.03359	+	1.27638i	0.960270	+	0.279074i	$0.0900275\pi$
$347$	6681.04	+	8250.40i	1.03359	+	1.27638i	0.0733244	+	0.997308i	$0.476639\pi$
$348$	104.336	+	5.46802i	0.0160718	+	0.000842290i
$349$	−105.304			−0.0161513			−0.00807563	−	0.999967i	$-0.502571\pi$
$349$	−105.304			−0.0161513			−0.00807563	+	0.999967i	$0.502571\pi$
$350$	619.844	+	5996.95i	0.0946630	+	0.915858i
$351$	−160.238			−0.0243671
$352$	948.734	+	49.7210i	0.143658	+	0.00752881i
$353$	−5064.39	−	6254.00i	−0.763598	−	0.942965i	0.235988	−	0.971756i	$-0.424168\pi$
$353$	−5064.39	−	6254.00i	−0.763598	−	0.942965i	−0.999585	+	0.0287913i	$0.990834\pi$
$354$	−11071.4	−	1163.65i	−1.66226	−	0.174710i
$355$	−3539.35	+	6236.03i	−0.529153	+	0.932321i
$356$	−405.218	−	557.734i	−0.0603272	−	0.0830333i
$357$	−12725.2	−	8565.01i	−1.88653	−	1.26977i
$358$	1386.70	+	219.632i	0.204719	+	0.0324243i
$359$	1161.49	−	5464.37i	0.170755	−	0.803338i	−0.806494	−	0.591242i	$-0.798638\pi$
$359$	1161.49	−	5464.37i	0.170755	−	0.803338i	0.977249	−	0.212096i	$-0.0680289\pi$
$360$	−7265.66	−	1889.55i	−1.06371	−	0.276633i
$361$	−2765.12	+	587.744i	−0.403137	+	0.0856895i
$362$	3400.24	+	5235.91i	0.493682	+	0.760203i
$363$	−6793.63	−	3461.53i	−0.982295	−	0.500504i
$364$	301.576	−	401.028i	0.0434255	−	0.0577461i
$365$	2528.99	+	1265.19i	0.362667	+	0.181434i
$366$	−8064.22	−	1714.10i	−1.15170	−	0.244802i
$367$	−3349.01	−	8724.48i	−0.476341	−	1.24091i	−0.935743	−	0.352682i	$-0.885270\pi$
$367$	−3349.01	−	8724.48i	−0.476341	−	1.24091i	0.459403	−	0.888228i	$-0.348063\pi$
$368$	−2127.63	+	7940.44i	−0.301388	+	1.12479i
$369$	−853.343	−	8119.02i	−0.120388	−	1.14542i
$370$	5604.72	+	7595.88i	0.787502	+	1.06727i
$371$	2028.75	+	2891.28i	0.283902	+	0.404603i
$372$	220.324	−	34.8958i	0.0307076	−	0.00486361i
$373$	118.267	−	2256.66i	0.0164172	−	0.313259i	−0.978061	−	0.208318i	$-0.933201\pi$
$373$	118.267	−	2256.66i	0.0164172	−	0.313259i	0.994478	−	0.104941i	$-0.0334654\pi$
$374$	2530.40	+	4382.78i	0.349850	+	0.605958i
$375$	5449.92	−	8812.76i	0.750487	−	1.21357i
$376$	−4046.39	−	2336.18i	−0.554991	−	0.320424i
$377$	−229.322	+	116.846i	−0.0313281	+	0.0159625i
$378$	119.149	+	326.356i	0.0162126	+	0.0444072i
$379$	1996.22	−	2747.55i	0.270551	−	0.372381i	−0.652025	−	0.758198i	$-0.726080\pi$
$379$	1996.22	−	2747.55i	0.270551	−	0.372381i	0.922575	+	0.385817i	$0.126080\pi$
$380$	−1331.73	+	149.902i	−0.179780	+	0.0202363i
$381$	−8580.22	+	19271.5i	−1.15375	+	2.59136i
$382$	−200.748	−	53.7903i	−0.0268879	−	0.00720458i
$383$	9068.54	+	7343.56i	1.20987	+	0.979735i	0.999998	+	0.00200613i	$0.000638572\pi$
$383$	9068.54	+	7343.56i	1.20987	+	0.979735i	0.209874	+	0.977729i	$0.432695\pi$
$384$	−2366.65	−	7283.78i	−0.314511	−	0.967966i
$385$	3487.68	−	900.603i	0.461685	−	0.119218i
$386$	−546.622	+	1682.33i	−0.0720786	+	0.221835i
$387$	−8151.85	+	5293.87i	−1.07075	+	0.695356i
$388$	8.44207	+	161.084i	0.00110459	+	0.0210769i
$389$	401.274	+	1887.85i	0.0523019	+	0.246061i	0.996530	−	0.0832301i	$-0.0265236\pi$
$389$	401.274	+	1887.85i	0.0523019	+	0.246061i	−0.944229	+	0.329291i	$0.893190\pi$
$390$	4629.23	−	1277.04i	0.601052	−	0.165809i
$391$	16549.4	−	5377.21i	2.14050	−	0.695492i
$392$	−7878.92	−	2391.82i	−1.01517	−	0.308177i
$393$	−547.614	−	547.614i	−0.0702887	−	0.0702887i
$394$	709.254	−	74.5456i	0.0906897	−	0.00953187i
$395$	−9716.64	+	5705.80i	−1.23771	+	0.726810i
$396$	−61.9482	+	589.398i	−0.00786115	+	0.0747939i
$397$	1062.75	+	407.953i	0.134353	+	0.0515732i	0.424615	−	0.905374i	$-0.360409\pi$
$397$	1062.75	+	407.953i	0.134353	+	0.0515732i	−0.290263	+	0.956947i	$0.593743\pi$
$398$	−3493.66	−	6856.69i	−0.440003	−	0.863555i
$399$	8876.09	+	10190.4i	1.11368	+	1.27860i
$400$	6595.92	−	97.2327i	0.824490	−	0.0121541i
$401$	−1958.71	+	3392.58i	−0.243923	+	0.422488i	−0.961828	−	0.273653i	$-0.911768\pi$
$401$	−1958.71	+	3392.58i	−0.243923	+	0.422488i	0.717905	+	0.696141i	$0.245101\pi$
$402$	1469.45	+	954.272i	0.182312	+	0.118395i
$403$	−427.050	+	345.819i	−0.0527863	+	0.0427455i
$404$	−722.869	+	321.842i	−0.0890200	+	0.0396343i
$405$	−2369.68	+	7480.26i	−0.290741	+	0.917771i
$406$	408.498	+	380.177i	0.0499345	+	0.0464726i
$407$	3988.09	−	3988.09i	0.485706	−	0.485706i
$408$	−12512.4	+	15451.6i	−1.51828	+	1.87492i
$409$	3776.40	−	4194.12i	0.456555	−	0.507056i	−0.470284	−	0.882515i	$-0.655848\pi$
$409$	3776.40	−	4194.12i	0.456555	−	0.507056i	0.926839	+	0.375459i	$0.122515\pi$
$410$	3103.74	+	7910.76i	0.373861	+	0.952889i
$411$	−5998.57	+	5401.14i	−0.719922	+	0.648220i
$412$	592.059	−	1161.98i	0.0707978	−	0.138948i
$413$	7425.07	+	7673.70i	0.884658	+	0.914282i
$414$	−10791.8	−	3506.45i	−1.28112	−	0.416263i
$415$	2566.78	+	115.557i	0.303610	+	0.0136686i
$416$	−902.801	−	812.885i	−0.106403	−	0.0958053i
$417$	−17295.6	+	6639.17i	−2.03110	+	0.779668i
$418$	−1153.98	−	4306.72i	−0.135031	−	0.503944i
$419$	−3601.32	+	2616.51i	−0.419894	+	0.305071i	−0.777595	−	0.628765i	$-0.783561\pi$
$419$	−3601.32	+	2616.51i	−0.419894	+	0.305071i	0.357701	+	0.933836i	$0.383561\pi$
$420$	1085.24	+	1522.64i	0.126082	+	0.176898i
$421$	2152.87	+	1564.15i	0.249227	+	0.181074i	0.705384	−	0.708825i	$-0.250774\pi$
$421$	2152.87	+	1564.15i	0.249227	+	0.181074i	−0.456157	+	0.889899i	$0.650774\pi$
$422$	4140.37	−	10786.0i	0.477607	−	1.24421i
$423$	2965.16	−	4565.94i	0.340829	−	0.524831i
$424$	3964.82	−	2289.09i	0.454125	−	0.262189i
$425$	−7776.89	−	11597.5i	−0.887611	−	1.32367i
$426$		−	12383.4i		−	1.40840i
$427$	4874.68	+	6226.62i	0.552464	+	0.705684i
$428$	300.969	+	1900.24i	0.0339903	+	0.214607i
$429$	−1166.98	−	2621.09i	−0.131334	−	0.294982i
$430$	6714.50	−	7568.65i	0.753027	−	0.848820i
$431$	−13246.9	−	5897.88i	−1.48046	−	0.659144i	−0.501867	−	0.864945i	$-0.667353\pi$
$431$	−13246.9	−	5897.88i	−1.48046	−	0.659144i	−0.978594	+	0.205801i	$0.934020\pi$
$432$	367.190	−	98.3882i	0.0408945	−	0.0109576i
$433$	715.165	−	4515.38i	0.0793733	−	0.501143i	−0.915689	−	0.401888i	$-0.868354\pi$
$433$	715.165	−	4515.38i	0.0793733	−	0.501143i	0.995062	−	0.0992551i	$-0.0316460\pi$
$434$	1021.87	+	612.631i	0.113022	+	0.0677586i
$435$	−157.012	−	946.150i	−0.0173061	−	0.104286i
$436$	−1411.43	−	1567.55i	−0.155035	−	0.172184i
$437$	−15309.6	+	802.340i	−1.67587	+	0.0878286i
$438$	−4876.96	+	255.591i	−0.532033	+	0.0278826i
$439$	7029.23	+	7806.75i	0.764207	+	0.848738i	0.992165	−	0.124933i	$-0.0398715\pi$
$439$	7029.23	+	7806.75i	0.764207	+	0.848738i	−0.227958	+	0.973671i	$0.573205\pi$
$440$	−764.356	−	4605.98i	−0.0828164	−	0.499049i
$441$	3263.61	−	9022.10i	0.352404	−	0.974204i
$442$	1012.35	−	6391.72i	0.108942	−	0.687835i
$443$	5764.55	−	1544.61i	0.618244	−	0.165658i	0.0639147	−	0.997955i	$-0.479641\pi$
$443$	5764.55	−	1544.61i	0.618244	−	0.165658i	0.554329	+	0.832297i	$0.312975\pi$
$444$	2674.57	+	1190.79i	0.285877	+	0.127281i
$445$	−4199.80	+	4734.05i	−0.447392	+	0.504305i
$446$	−4750.50	−	10669.8i	−0.504356	−	1.13280i
$447$	−2569.90	−	16225.7i	−0.271928	−	1.71689i
$448$	−3906.18	+	9695.69i	−0.411941	+	1.02250i
$449$			9420.69i			0.990177i	0.868842	+	0.495089i	$0.164864\pi$
$449$			9420.69i			0.990177i	−0.868842	+	0.495089i	$0.835136\pi$
$450$	−342.467	+	9099.13i	−0.0358757	+	0.953194i
$451$	4396.99	−	2538.60i	0.459082	−	0.265051i
$452$	−461.719	+	710.985i	−0.0480474	+	0.0739865i
$453$	2979.43	−	7761.67i	0.309019	−	0.805022i
$454$	5004.66	+	3636.09i	0.517357	+	0.375882i
$455$	−4190.66	−	1911.66i	−0.431783	−	0.196967i
$456$	14171.3	−	10296.1i	1.45534	−	1.05736i
$457$	−1418.93	−	5295.53i	−0.145240	−	0.542044i	−0.999745	−	0.0225999i	$-0.992806\pi$
$457$	−1418.93	−	5295.53i	−0.145240	−	0.542044i	0.854504	−	0.519444i	$-0.173861\pi$
$458$	−7375.63	+	2831.24i	−0.752490	+	0.288854i
$459$	−597.990	−	538.433i	−0.0608100	−	0.0547536i
$460$	−2118.99	−	95.3973i	−0.214780	−	0.00966940i
$461$	12462.2	+	4049.21i	1.25905	+	0.409090i	0.861155	−	0.508342i	$-0.169741\pi$
$461$	12462.2	+	4049.21i	1.25905	+	0.409090i	0.397893	+	0.917432i	$0.369741\pi$
$462$	−4470.63	+	4325.77i	−0.450200	+	0.435613i
$463$	7427.76	−	14577.8i	0.745566	−	1.46326i	−0.135757	−	0.990742i	$-0.543347\pi$
$463$	7427.76	−	14577.8i	0.745566	−	1.46326i	0.881323	−	0.472514i	$-0.156653\pi$
$464$	453.755	−	408.563i	0.0453988	−	0.0408773i
$465$	−747.906	−	1906.25i	−0.0745877	−	0.190108i
$466$	−3586.36	+	3983.06i	−0.356513	+	0.395947i
$467$	−384.679	+	475.039i	−0.0381174	+	0.0470711i	−0.795848	−	0.605496i	$-0.792975\pi$
$467$	−384.679	+	475.039i	−0.0381174	+	0.0470711i	0.757731	+	0.652567i	$0.226308\pi$
$468$	535.868	−	535.868i	0.0529284	−	0.0529284i
$469$	−492.942	−	1606.67i	−0.0485330	−	0.158185i
$470$	−1711.45	+	5402.46i	−0.167964	+	0.530206i
$471$	1233.12	−	549.020i	0.120635	−	0.0537102i
$472$	10756.1	−	8710.14i	1.04892	−	0.849399i
$473$	−5069.81	−	3292.37i	−0.492833	−	0.320049i
$474$	9730.03	−	16852.9i	0.942859	−	1.63308i
$475$	3973.61	+	11642.7i	0.383835	+	1.12464i
$476$	2472.99	−	483.235i	0.238129	−	0.0465316i
$477$	2421.82	+	4753.09i	0.232469	+	0.456245i
$478$	13876.8	+	5326.81i	1.32785	+	0.509712i
$479$	497.809	−	4736.34i	0.0474854	−	0.451793i	−0.944784	−	0.327693i	$-0.893729\pi$
$479$	497.809	−	4736.34i	0.0474854	−	0.451793i	0.992270	−	0.124100i	$-0.0396044\pi$
$480$	3903.72	−	2292.34i	0.371208	−	0.217980i
$481$	−7172.54	+	753.864i	−0.679916	+	0.0714620i
$482$	3865.64	+	3865.64i	0.365301	+	0.365301i
$483$	11352.7	+	18128.3i	1.06950	+	1.70780i
$484$	1191.20	−	387.044i	0.111871	−	0.0363490i
$485$	1427.42	−	393.774i	0.133641	−	0.0368667i
$486$	−2922.76	−	13750.5i	−0.272797	−	1.28341i
$487$	538.302	+	10271.4i	0.0500879	+	0.955733i	0.901916	+	0.431912i	$0.142161\pi$
$487$	538.302	+	10271.4i	0.0500879	+	0.955733i	−0.851828	+	0.523822i	$0.824506\pi$
$488$	8596.36	−	5582.54i	0.797416	−	0.517848i
$489$	−8566.63	+	26365.4i	−0.792222	+	2.43821i
$490$	−777.405	+	9956.58i	−0.0716726	+	0.917944i
$491$	−512.088	−	1576.04i	−0.0470676	−	0.144859i	0.924761	−	0.380549i	$-0.124265\pi$
$491$	−512.088	−	1576.04i	−0.0470676	−	0.144859i	−0.971828	+	0.235690i	$0.924265\pi$
$492$	2048.19	+	1658.59i	0.187682	+	0.151982i
$493$	−1248.43	−	334.517i	−0.114050	−	0.0305596i
$494$	−2318.97	+	5208.48i	−0.211205	+	0.474374i
$495$	5406.17	−	608.527i	0.490887	−	0.0552551i
$496$	766.262	−	1054.67i	0.0693673	−	0.0954759i
$497$	−7625.93	+	9106.48i	−0.688269	+	0.821894i
$498$	−3953.70	+	2014.51i	−0.355762	+	0.181270i
$499$	−3145.47	−	1816.04i	−0.282185	−	0.162920i	0.352227	−	0.935915i	$-0.385424\pi$
$499$	−3145.47	−	1816.04i	−0.282185	−	0.162920i	−0.634412	+	0.772995i	$0.718758\pi$
$500$	390.614	+	1656.70i	0.0349376	+	0.148179i
$501$	10335.8	+	17902.1i	0.921693	+	1.59642i
$502$	630.228	−	12025.5i	0.0560328	−	1.06917i
$503$	13850.8	−	2193.75i	1.22778	−	0.194462i	0.491345	−	0.870965i	$-0.336505\pi$
$503$	13850.8	−	2193.75i	1.22778	−	0.194462i	0.736440	+	0.676503i	$0.236505\pi$
$504$	−11276.0	−	5244.52i	−0.996570	−	0.463511i
$505$	4312.70	+	5844.84i	0.380025	+	0.515033i
$506$	−737.659	−	7018.35i	−0.0648082	−	0.616608i
$507$	3266.38	−	12190.3i	0.286124	−	1.06783i
$508$	−1241.86	−	3235.15i	−0.108462	−	0.282552i
$509$	−9979.04	−	2121.11i	−0.868985	−	0.184708i	−0.248218	−	0.968704i	$-0.579845\pi$
$509$	−9979.04	−	2121.11i	−0.868985	−	0.184708i	−0.620766	+	0.783996i	$0.713178\pi$
$510$	21566.9	+	10789.4i	1.87255	+	0.936792i
$511$	3743.81	+	2815.37i	0.324102	+	0.243727i
$512$	11598.1	+	5909.55i	1.00111	+	0.510093i
$513$	386.111	+	594.559i	0.0332305	+	0.0511704i
$514$	−2702.40	+	574.413i	−0.231902	+	0.0492924i
$515$	−11586.1	−	3013.14i	−0.991347	−	0.257815i
$516$	652.412	−	3069.36i	0.0556606	−	0.261862i
$517$	3344.22	+	529.672i	0.284484	+	0.0450579i
$518$	6868.72	+	14047.7i	0.582615	+	1.19155i
$519$	−12947.3	−	17820.5i	−1.09504	−	1.50719i
$520$	−2946.99	+	5192.34i	−0.248527	+	0.437883i
$521$	3603.07	+	378.698i	0.302982	+	0.0318447i	0.254799	−	0.966994i	$-0.417991\pi$
$521$	3603.07	+	378.698i	0.302982	+	0.0318447i	0.0481822	+	0.998839i	$0.484657\pi$
$522$	530.401	+	654.991i	0.0444732	+	0.0549199i
$523$	2091.48	+	109.610i	0.174864	+	0.00916425i	0.139567	−	0.990213i	$-0.455429\pi$
$523$	2091.48	+	109.610i	0.174864	+	0.00916425i	0.0352972	+	0.999377i	$0.488762\pi$
$524$	127.217			0.0106059
$525$	11507.2	−	12735.7i	0.956597	−	1.05873i
$526$	−19447.0			−1.61203
$527$	−2755.73	−	144.422i	−0.227783	−	0.0119376i
$528$	4283.56	+	5289.76i	0.353065	+	0.435999i
$529$	−12031.5	−	1264.56i	−0.988864	−	0.103934i
$530$	−3745.88	−	4099.06i	−0.307001	−	0.335947i
$531$	9479.24	+	13047.1i	0.774697	+	1.06628i
$532$	−2214.69	−	152.669i	−0.180487	−	0.0124418i
$533$	−6412.44	−	1015.63i	−0.521113	−	0.0825363i
$534$	2272.34	−	10690.5i	0.184145	−	0.866336i
$535$	16441.0	−	6450.52i	1.32861	−	0.521271i
$536$	−2130.75	+	452.905i	−0.171706	+	0.0364972i
$537$	−2177.01	−	3352.30i	−0.174944	−	0.269390i
$538$	−13254.0	−	6753.26i	−1.06212	−	0.541178i
$539$	5951.49	−	427.982i	0.475601	−	0.0342013i
$540$	45.1738	+	87.0663i	0.00359995	+	0.00693840i
$541$	10698.9	+	2274.13i	0.850247	+	0.180726i	0.612371	−	0.790570i	$-0.290216\pi$
$541$	10698.9	+	2274.13i	0.850247	+	0.180726i	0.237875	+	0.971296i	$0.423549\pi$
$542$	7163.28	+	18661.0i	0.567692	+	1.47889i
$543$	4600.29	−	17168.5i	0.363568	−	1.35685i
$544$	−637.689	−	6067.21i	−0.0502586	−	0.478179i
$545$	−11265.7	+	15748.6i	−0.885446	+	1.23779i
$546$	7923.80	−	701.128i	0.621076	−	0.0549552i
$547$	−18193.9	+	2881.64i	−1.42215	+	0.225247i	−0.819647	−	0.572869i	$-0.805830\pi$
$547$	−18193.9	+	2881.64i	−1.42215	+	0.225247i	−0.602505	+	0.798115i	$0.705830\pi$
$548$	69.3956	−	1324.15i	0.00540955	−	0.103220i
$549$	5971.66	+	10343.2i	0.464233	+	0.804076i
$550$	−5256.33	+	2107.13i	−0.407510	+	0.163360i
$551$	986.134	+	569.344i	0.0762445	+	0.0440198i
$552$	24703.2	−	12586.9i	1.90478	−	0.970532i
$553$	−17533.6	+	6401.32i	−1.34829	+	0.492246i
$554$	−4919.48	+	6771.08i	−0.377272	+	0.519270i
$555$	5393.78	−	26328.4i	0.412528	−	2.01366i
$556$	1237.81	−	2780.17i	0.0944154	−	0.212060i
$557$	19854.7	+	5320.06i	1.51036	+	0.404700i	0.916555	−	0.399908i	$-0.130958\pi$
$557$	19854.7	+	5320.06i	1.51036	+	0.404700i	0.593806	+	0.804608i	$0.297625\pi$
$558$	1398.45	+	1132.44i	0.106095	+	0.0859140i
$559$	2388.70	+	7351.65i	0.180735	+	0.556246i
$560$	10776.8	+	1807.51i	0.813221	+	0.136395i
$561$	4452.35	−	13702.9i	0.335078	−	1.03126i
$562$	−7233.98	+	4697.80i	−0.542966	+	0.352606i
$563$	−1209.01	−	23069.4i	−0.0905043	−	1.72692i	−0.546943	−	0.837170i	$-0.684209\pi$
$563$	−1209.01	−	23069.4i	−0.0905043	−	1.72692i	0.456439	−	0.889755i	$-0.349125\pi$
$564$	365.423	+	1719.18i	0.0272821	+	0.128352i
$565$	7285.59	+	2735.24i	0.542491	+	0.203668i
$566$	−11384.1	+	3698.91i	−0.845421	+	0.274694i
$567$	−6090.84	+	11482.5i	−0.451131	+	0.850479i
$568$	10886.5	+	10886.5i	0.804206	+	0.804206i
$569$	13076.3	−	1374.38i	0.963425	−	0.101260i	0.390264	−	0.920703i	$-0.372384\pi$
$569$	13076.3	−	1374.38i	0.963425	−	0.101260i	0.573161	+	0.819443i	$0.305717\pi$
$570$	−15893.1	−	14099.5i	−1.16788	−	1.03608i
$571$	−387.942	+	3691.02i	−0.0284323	+	0.270516i	0.971065	+	0.238815i	$0.0767590\pi$
$571$	−387.942	+	3691.02i	−0.0284323	+	0.270516i	−0.999497	+	0.0317005i	$0.989908\pi$
$572$	440.007	+	168.903i	0.0321637	+	0.0123465i
$573$	268.622	+	527.201i	0.0195844	+	0.0384366i
$574$	2699.60	+	13815.4i	0.196305	+	1.00461i
$575$	3329.15	+	19184.7i	0.241452	+	1.39141i
$576$	−7893.68	+	13672.2i	−0.571012	+	0.989023i
$577$	8049.25	+	5227.24i	0.580753	+	0.377146i	0.801329	−	0.598224i	$-0.204127\pi$
$577$	8049.25	+	5227.24i	0.580753	+	0.377146i	−0.220575	+	0.975370i	$0.570793\pi$
$578$	15312.2	−	12399.6i	1.10191	−	0.892310i
$579$	4600.69	−	2048.36i	0.330222	−	0.147024i
$580$	128.139	+	91.6632i	0.00917359	+	0.00656225i
$581$	4148.03	+	953.336i	0.296195	+	0.0680741i
$582$	−1808.25	+	1808.25i	−0.128787	+	0.128787i
$583$	−2087.86	+	2578.30i	−0.148320	+	0.183160i
$584$	4062.76	−	4512.15i	0.287873	−	0.319716i
$585$	−5862.13	−	3745.78i	−0.414306	−	0.264733i
$586$	−5917.39	+	5328.05i	−0.417142	+	0.375596i
$587$	−2647.77	+	5196.54i	−0.186176	+	0.365390i	−0.965163	−	0.261649i	$-0.915734\pi$
$587$	−2647.77	+	5196.54i	−0.186176	+	0.365390i	0.778987	+	0.627040i	$0.215734\pi$
$588$	1314.53	+	2804.55i	0.0921947	+	0.196697i
$589$	2312.18	+	751.274i	0.161752	+	0.0525564i
$590$	−13123.5	−	10468.0i	−0.915738	−	0.730441i
$591$	−1508.86	−	1358.58i	−0.105019	−	0.0945596i
$592$	15973.2	−	6131.54i	1.10894	−	0.425684i
$593$	−3011.17	−	11237.8i	−0.208523	−	0.778218i	−0.988347	−	0.152219i	$-0.951358\pi$
$593$	−3011.17	−	11237.8i	−0.208523	−	0.778218i	0.779824	−	0.625999i	$-0.215309\pi$
$594$	−264.012	+	191.816i	−0.0182366	+	0.0132497i
$595$	−9215.51	−	21215.6i	−0.634957	−	1.46178i
$596$	2183.22	+	1586.20i	0.150047	+	0.109016i
$597$	−7851.48	+	20453.8i	−0.538257	+	1.40221i
$598$	−4914.83	+	7568.17i	−0.336091	+	0.517534i
$599$	17579.1	−	10149.3i	1.19910	−	0.692301i	0.238746	−	0.971082i	$-0.423264\pi$
$599$	17579.1	−	10149.3i	1.19910	−	0.692301i	0.960355	+	0.278781i	$0.0899303\pi$
$600$	−15129.0	−	16312.4i	−1.02940	−	1.10992i
$601$		−	14153.7i		−	0.960637i	−0.877094	−	0.480318i	$-0.840521\pi$
$601$		−	14153.7i		−	0.960637i	0.877094	−	0.480318i	$-0.159479\pi$
$602$	13196.9	−	10331.6i	0.893466	−	0.699474i
$603$	−397.066	−	2506.97i	−0.0268155	−	0.169307i
$604$	555.487	+	1247.64i	0.0374212	+	0.0840495i
$605$	−5822.02	−	9914.57i	−0.391238	−	0.666255i
$606$	−11460.0	−	5102.31i	−0.768200	−	0.342025i
$607$	15704.5	−	4208.00i	1.05012	−	0.281380i	0.307821	−	0.951444i	$-0.400400\pi$
$607$	15704.5	−	4208.00i	1.05012	−	0.281380i	0.742303	+	0.670065i	$0.233734\pi$
$608$	−840.795	+	5308.57i	−0.0560835	+	0.354097i
$609$	26.1587	−	1588.52i	0.00174056	−	0.105698i
$610$	−8855.37	−	8725.79i	−0.587776	−	0.579175i
$611$	−2897.10	−	3217.56i	−0.191824	−	0.213042i
$612$	3800.44	−	199.172i	0.251019	−	0.0131553i
$613$	−12649.3	+	662.922i	−0.833444	+	0.0436789i	−0.464283	−	0.885687i	$-0.653688\pi$
$613$	−12649.3	+	662.922i	−0.833444	+	0.0436789i	−0.369160	+	0.929366i	$0.620355\pi$
$614$	−5145.44	−	5714.59i	−0.338197	−	0.375606i
$615$	10824.4	−	21636.8i	0.709727	−	1.41867i
$616$	127.344	−	7733.12i	0.00832926	−	0.505806i
$617$	1.16761	−	7.37199i	7.61850e−5	−	0.000481013i	−0.987650	−	0.156675i	$-0.949922\pi$
$617$	1.16761	−	7.37199i	7.61850e−5	−	0.000481013i	0.987726	+	0.156194i	$0.0499225\pi$
$618$	19970.4	−	5351.04i	1.29988	−	0.348302i
$619$	−10934.3	−	4868.25i	−0.709992	−	0.316109i	0.0197751	−	0.999804i	$-0.493705\pi$
$619$	−10934.3	−	4868.25i	−0.709992	−	0.316109i	−0.729767	+	0.683696i	$0.760372\pi$
$620$	308.296	+	134.549i	0.0199701	+	0.00871549i
$621$	456.389	+	1025.07i	0.0294916	+	0.0662392i
$622$	−981.019	−	6193.91i	−0.0632400	−	0.399282i
$623$	−8254.44	+	6462.21i	−0.530830	+	0.415575i
$624$		−	8703.86i		−	0.558387i
$625$	14080.6	−	6773.25i	0.901159	−	0.433488i
$626$	17069.7	−	9855.22i	1.08985	−	0.629224i
$627$	−6913.52	+	10645.9i	−0.440350	+	0.678080i
$628$	−79.4623	+	207.006i	−0.00504919	+	0.0131536i
$629$	−29300.3	−	21287.9i	−1.85736	−	1.34945i
$630$	−3270.08	+	14724.7i	−0.206799	+	0.931182i
$631$	4506.50	−	3274.16i	0.284312	−	0.206565i	−0.436484	−	0.899712i	$-0.643776\pi$
$631$	4506.50	−	3274.16i	0.284312	−	0.206565i	0.720796	+	0.693147i	$0.243776\pi$
$632$	6261.89	+	23369.7i	0.394121	+	1.47088i
$633$	−30707.9	+	11787.7i	−1.92817	+	0.740154i
$634$	774.009	+	696.921i	0.0484855	+	0.0436566i
$635$	−26550.2	+	17521.4i	−1.65923	+	1.09499i
$636$	−1637.87	−	532.177i	−0.102116	−	0.0331795i
$637$	−6258.76	−	4364.04i	−0.389295	−	0.271443i
$638$	−237.966	+	467.034i	−0.0147667	+	0.0289813i
$639$	−13331.5	+	12003.8i	−0.825332	+	0.743132i
$640$	2906.75	−	11177.0i	0.179530	−	0.690328i
$641$	−15271.8	+	16961.1i	−0.941030	+	1.04512i	0.0578747	+	0.998324i	$0.481568\pi$
$641$	−15271.8	+	16961.1i	−0.941030	+	1.04512i	−0.998904	+	0.0467956i	$0.985099\pi$
$642$	−19194.8	+	23703.6i	−1.18000	+	1.45718i
$643$	−10194.5	+	10194.5i	−0.625246	+	0.625246i	−0.946868	−	0.321622i	$-0.895772\pi$
$643$	−10194.5	+	10194.5i	−0.625246	+	0.625246i	0.321622	+	0.946868i	$0.395772\pi$
$644$	−3424.40	−	787.023i	−0.209534	−	0.0481569i
$645$	−28804.5	+	212.297i	−1.75841	+	0.0129600i
$646$	−26155.8	+	11645.3i	−1.59301	+	0.709254i
$647$	−5055.07	+	4093.52i	−0.307164	+	0.248737i	−0.770491	−	0.637451i	$-0.779989\pi$
$647$	−5055.07	+	4093.52i	−0.307164	+	0.248737i	0.463327	+	0.886188i	$0.346656\pi$
$648$	14129.7	+	9175.97i	0.856588	+	0.556275i
$649$	−5014.88	+	8686.02i	−0.303315	+	0.525356i
$650$	6919.19	+	2135.95i	0.417528	+	0.128891i
$651$	−650.521	−	3329.09i	−0.0391643	−	0.200426i
$652$	−2067.43	−	4057.57i	−0.124182	−	0.243722i
$653$	20479.2	+	7861.21i	1.22728	+	0.471107i	0.883716	−	0.468023i	$-0.155034\pi$
$653$	20479.2	+	7861.21i	1.22728	+	0.471107i	0.343560	+	0.939131i	$0.388367\pi$
$654$	3495.48	−	33257.3i	0.208997	−	1.98848i
$655$	−251.215	−	1140.48i	−0.0149859	−	0.0680339i
$656$	15317.9	−	1609.98i	0.911683	−	0.0958218i
$657$	5002.61	+	5002.61i	0.297063	+	0.297063i
$658$	−4398.98	+	8293.02i	−0.260623	+	0.491331i
$659$	2179.68	−	708.221i	0.128844	−	0.0418640i	−0.243885	−	0.969804i	$-0.578422\pi$
$659$	2179.68	−	708.221i	0.128844	−	0.0418640i	0.372729	+	0.927940i	$0.378422\pi$
$660$	−1095.19	+	1373.02i	−0.0645915	+	0.0809769i
$661$	2737.40	+	12878.4i	0.161078	+	0.757811i	0.982317	+	0.187227i	$0.0599499\pi$
$661$	2737.40	+	12878.4i	0.161078	+	0.757811i	−0.821239	+	0.570584i	$0.806717\pi$
$662$	558.223	+	10651.5i	0.0327733	+	0.625352i
$663$	−15451.7	+	10034.5i	−0.905122	+	0.587793i
$664$	1704.79	−	5246.79i	0.0996363	−	0.306649i
$665$	3004.69	+	20155.8i	0.175214	+	1.17535i
$666$	7298.07	+	22461.1i	0.424616	+	1.30683i
$667$	1400.64	+	1134.21i	0.0813088	+	0.0658425i
$668$	−3280.00	−	878.873i	−0.189980	−	0.0509051i
$669$	−13524.7	+	30376.9i	−0.781606	+	1.75552i
$670$	1092.40	+	2405.69i	0.0629896	+	0.138716i
$671$	−4365.95	+	6009.22i	−0.251186	+	0.345728i
$672$	7044.23	−	2571.77i	0.404371	−	0.147631i
$673$	8654.75	−	4409.81i	0.495715	−	0.252579i	−0.188214	−	0.982128i	$-0.560270\pi$
$673$	8654.75	−	4409.81i	0.495715	−	0.252579i	0.683929	+	0.729549i	$0.260270\pi$
$674$	26892.6	+	15526.4i	1.53689	+	0.887323i
$675$	691.328	−	576.904i	0.0394211	−	0.0328964i
$676$	1036.57	+	1795.39i	0.0589763	+	0.102150i
$677$	1595.17	−	30437.7i	0.0905577	−	1.72794i	−0.455534	−	0.890218i	$-0.650552\pi$
$677$	1595.17	−	30437.7i	0.0905577	−	1.72794i	0.546092	−	0.837725i	$-0.316115\pi$
$678$	−13274.3	+	2102.45i	−0.751914	+	0.119091i
$679$	2443.30	−	216.192i	0.138093	−	0.0122190i
$680$	−28445.2	+	9474.75i	−1.60415	+	0.534324i
$681$	−1840.94	−	17515.4i	−0.103590	−	0.985595i
$682$	−289.651	+	1080.99i	−0.0162629	+	0.0606940i
$683$	−10896.3	−	28385.8i	−0.610447	−	1.59027i	−0.794441	−	0.607341i	$-0.792236\pi$
$683$	−10896.3	−	28385.8i	−0.610447	−	1.59027i	0.183995	−	0.982927i	$-0.441097\pi$
$684$	−3279.57	−	697.094i	−0.183330	−	0.0389679i
$685$	−12007.7	+	1992.67i	−0.669770	+	0.111147i
$686$	−4234.36	+	15992.2i	−0.235669	+	0.890066i
$687$	20040.9	+	10211.3i	1.11296	+	0.567084i
$688$	−9987.79	−	15379.9i	−0.553461	−	0.852255i
$689$	4149.67	−	882.039i	0.229448	−	0.0487707i
$690$	−21354.4	−	25976.7i	−1.17819	−	1.43321i
$691$	−6389.45	+	30060.0i	−0.351760	+	1.65490i	0.345751	+	0.938326i	$0.387624\pi$
$691$	−6389.45	+	30060.0i	−0.351760	+	1.65490i	−0.697511	+	0.716574i	$0.745709\pi$
$692$	3573.87	+	566.046i	0.196327	+	0.0310951i
$693$	8990.55	+	619.760i	0.492818	+	0.0339722i
$694$	−16250.7	−	22367.2i	−0.888859	−	1.22341i
$695$	−27368.0	−	5606.76i	−1.49371	−	0.306009i
$696$	−2048.02	−	215.255i	−0.111537	−	0.0117230i
$697$	−20517.8	−	25337.4i	−1.11502	−	1.37693i
$698$	273.861	+	14.3524i	0.0148507	+	0.000778291i
$699$	15259.2			0.825687
$700$	142.706	+	2815.96i	0.00770540	+	0.152047i
$701$	10261.1			0.552865			0.276432	−	0.961033i	$-0.410848\pi$
$701$	10261.1			0.552865			0.276432	+	0.961033i	$0.410848\pi$
$702$	416.725	+	21.8396i	0.0224050	+	0.00117419i
$703$	20080.3	+	24797.1i	1.07730	+	1.33035i
$704$	−9764.70	−	1026.31i	−0.522757	−	0.0549440i
$705$	14690.5	−	6670.81i	0.784790	−	0.356365i
$706$	12318.4	+	16954.8i	0.656670	+	0.903829i
$707$	5285.31	+	10809.4i	0.281152	+	0.575006i
$708$	−5142.25	−	814.453i	−0.272963	−	0.0432331i
$709$	436.219	−	2052.25i	0.0231066	−	0.108708i	−0.965083	−	0.261944i	$-0.915636\pi$
$709$	436.219	−	2052.25i	0.0231066	−	0.108708i	0.988190	+	0.153236i	$0.0489696\pi$
$710$	10054.6	−	15735.4i	0.531469	−	0.831748i
$711$	−27575.0	+	5861.24i	−1.45449	+	0.309162i
$712$	7400.61	+	11395.9i	0.389536	+	0.599832i
$713$	3428.59	+	1746.95i	0.180086	+	0.0917586i
$714$	31926.8	+	24009.1i	1.67343	+	1.25843i
$715$	645.302	−	4278.11i	0.0337524	−	0.223765i
$716$	642.263	+	136.517i	0.0335230	+	0.00712554i
$717$	−15165.4	−	39507.3i	−0.789908	−	2.05778i
$718$	−3765.41	+	14052.7i	−0.195716	+	0.730422i
$719$	−2062.34	−	19621.9i	−0.106971	−	1.01776i	−0.907952	−	0.419074i	$-0.862355\pi$
$719$	−2062.34	−	19621.9i	−0.106971	−	1.01776i	0.800981	−	0.598690i	$-0.204312\pi$
$720$	15733.2	+	4984.14i	0.814364	+	0.257983i
$721$	−17981.0	−	8363.09i	−0.928778	−	0.431980i
$722$	7271.27	−	1151.66i	0.374804	−	0.0593631i
$723$	814.563	−	15542.8i	0.0419003	−	0.799505i
$724$	1459.88	+	2528.58i	0.0749391	+	0.129798i
$725$	568.707	−	1329.75i	0.0291328	−	0.0681181i
$726$	17196.2	+	9928.23i	0.879078	+	0.507536i
$727$	−5743.34	+	2926.38i	−0.292997	+	0.149289i	−0.594310	−	0.804236i	$-0.702575\pi$
$727$	−5743.34	+	2926.38i	−0.292997	+	0.149289i	0.301313	+	0.953525i	$0.402575\pi$
$728$	−6349.62	+	7582.38i	−0.323259	+	0.386019i
$729$	−12386.5	+	17048.5i	−0.629298	+	0.866154i
$730$	−6404.63	−	3635.04i	−0.324720	−	0.184300i
$731$	−15788.8	+	35462.1i	−0.798862	+	1.79427i
$732$	−3724.32	−	997.929i	−0.188053	−	0.0503887i
$733$	16847.4	+	13642.7i	0.848939	+	0.687457i	0.951627	−	0.307256i	$-0.0994109\pi$
$733$	16847.4	+	13642.7i	0.848939	+	0.687457i	−0.102688	+	0.994714i	$0.532744\pi$
$734$	7520.57	+	23145.9i	0.378187	+	1.16394i
$735$	22546.5	−	17322.7i	1.13148	−	0.869329i
$736$	−2628.81	+	8090.63i	−0.131656	+	0.405197i
$737$	1323.90	−	859.754i	0.0661692	−	0.0429707i
$738$	1112.68	+	21231.2i	0.0554991	+	1.05899i
$739$	−621.187	−	2922.46i	−0.0309212	−	0.145473i	0.959979	−	0.280072i	$-0.0903585\pi$
$739$	−621.187	−	2922.46i	−0.0309212	−	0.145473i	−0.990900	+	0.134600i	$0.957025\pi$
$740$	2431.68	+	3684.72i	0.120798	+	0.183045i
$741$	15437.4	−	5015.93i	0.765329	−	0.248670i
$742$	−4882.04	−	7795.76i	−0.241544	−	0.385703i
$743$	−21852.7	−	21852.7i	−1.07900	−	1.07900i	−0.996599	−	0.0824042i	$-0.973740\pi$
$743$	−21852.7	−	21852.7i	−1.07900	−	1.07900i	−0.0824042	−	0.996599i	$-0.526260\pi$
$744$	−4372.64	+	459.583i	−0.215469	+	0.0226467i
$745$	9908.81	−	22704.4i	0.487289	−	1.11654i
$746$	−615.145	+	5852.71i	−0.0301904	+	0.287243i
$747$	6001.24	+	2303.66i	0.293941	+	0.112833i
$748$	1074.51	+	2108.85i	0.0525241	+	0.103084i
$749$	28712.6	−	5610.60i	1.40072	−	0.273707i
$750$	−15374.6	+	22176.3i	−0.748534	+	1.07968i
$751$	14877.0	−	25767.8i	0.722864	−	1.25204i	−0.236983	−	0.971514i	$-0.576159\pi$
$751$	14877.0	−	25767.8i	0.722864	−	1.25204i	0.959847	−	0.280524i	$-0.0905081\pi$
$752$	8614.43	+	5594.27i	0.417734	+	0.271280i
$753$	−26643.3	+	21575.3i	−1.28942	+	1.04416i
$754$	612.317	−	272.621i	0.0295747	−	0.0131675i
$755$	10088.0	−	7443.54i	0.486276	−	0.358806i
$756$	47.6588	+	155.336i	0.00229277	+	0.00747290i
$757$	23735.0	−	23735.0i	1.13958	−	1.13958i	0.151056	−	0.988525i	$-0.451733\pi$
$757$	23735.0	−	23735.0i	1.13958	−	1.13958i	0.988525	−	0.151056i	$-0.0482674\pi$
$758$	−5565.97	+	6873.41i	−0.266709	+	0.329358i
$759$	−13443.7	+	14930.8i	−0.642921	+	0.714036i
$760$	26367.2	−	1576.79i	1.25847	−	0.0752581i
$761$	26231.7	−	23619.1i	1.24954	−	1.12509i	0.262443	−	0.964948i	$-0.415472\pi$
$761$	26231.7	−	23619.1i	1.24954	−	1.12509i	0.987094	−	0.160141i	$-0.0511948\pi$
$762$	24940.9	−	48949.4i	1.18572	−	2.32710i
$763$	−23051.0	+	22304.1i	−1.09371	+	1.05827i
$764$	−92.4398	−	30.0355i	−0.00437743	−	0.00142231i
$765$	−9290.24	−	33676.9i	−0.439071	−	1.59162i
$766$	−22583.4	−	20334.2i	−1.06524	−	0.959143i
$767$	11973.5	−	4596.19i	0.563673	−	0.216374i
$768$

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+(-2.60067 - 0.136295i) q^{2} +(4.66596 + 5.76198i) q^{3} +(-1.21127 - 0.127309i) q^{4} +(1.25058 + 11.1102i) q^{5} +(-11.3493 - 15.6209i) q^{6} +(-1.27366 + 18.4764i) q^{7} +(23.7102 + 3.75532i) q^{8} +(-5.81561 + 27.3603i) q^{9} +(-1.73808 - 29.0644i) q^{10} +(-17.0160 + 3.61685i) q^{11} +(-4.91817 - 7.57332i) q^{12} +(19.8203 + 10.0990i) q^{13} +(5.83063 - 47.8775i) q^{14} +(-58.1814 + 59.0454i) q^{15} +(-51.6199 - 10.9721i) q^{16} +(40.0328 + 104.289i) q^{17} +(18.8536 - 70.3625i) q^{18} +(-10.2874 - 97.8778i) q^{19} +(-0.100358 - 13.6166i) q^{20} +(-112.404 + 78.8713i) q^{21} +(44.7458 - 7.08704i) q^{22} +(8.15245 - 155.558i) q^{23} +(88.9926 + 154.140i) q^{24} +(-121.872 + 27.7883i) q^{25} +(-50.1697 - 28.9655i) q^{26} +(-6.41822 + 3.27025i) q^{27} +(3.89497 - 22.2177i) q^{28} +(-6.80071 + 9.36037i) q^{29} +(159.358 - 145.628i) q^{30} +(-10.0475 + 22.5671i) q^{31} +(-52.7511 - 14.1346i) q^{32} +(-100.236 - 81.1695i) q^{33} +(-89.8979 - 276.677i) q^{34} +(-206.869 + 8.95561i) q^{35} +(10.5275 - 32.4003i) q^{36} +(-271.906 + 176.578i) q^{37} +(13.4138 + 255.950i) q^{38} +(34.2909 + 161.326i) q^{39} +(-12.0708 + 268.121i) q^{40} +(-277.574 + 90.1893i) q^{41} +(303.074 - 189.798i) q^{42} +(245.716 + 245.716i) q^{43} +(21.0713 - 2.21469i) q^{44} +(-311.251 - 30.3962i) q^{45} +(-42.4037 + 403.444i) q^{46} +(-181.708 - 69.7512i) q^{47} +(-177.635 - 348.628i) q^{48} +(-339.756 - 47.0655i) q^{49} +(320.737 - 55.6577i) q^{50} +(-414.119 + 717.276i) q^{51} +(-22.7221 - 14.7559i) q^{52} +(148.211 - 120.019i) q^{53} +(17.1374 - 7.63006i) q^{54} +(-61.4637 - 184.527i) q^{55} +(-99.5837 + 433.296i) q^{56} +(515.969 - 515.969i) q^{57} +(18.9622 - 23.4163i) q^{58} +(385.789 - 428.462i) q^{59} +(77.9904 - 64.1128i) q^{60} +(317.309 - 285.706i) q^{61} +(29.2061 - 57.3202i) q^{62} +(-498.113 - 142.299i) q^{63} +(536.783 + 174.411i) q^{64} +(-87.4144 + 232.837i) q^{65} +(249.618 + 224.757i) q^{66} +(-84.7160 + 32.5194i) q^{67} +(-35.2135 - 131.418i) q^{68} +(934.361 - 678.853i) q^{69} +(539.219 + 4.90471i) q^{70} +(518.857 + 376.972i) q^{71} +(-240.636 + 626.878i) q^{72} +(137.754 - 212.122i) q^{73} +(731.206 - 422.162i) q^{74} +(-728.766 - 572.565i) q^{75} +119.866i q^{76} +(-45.1538 - 319.000i) q^{77} +(-67.1912 - 424.229i) q^{78} +(409.928 + 920.714i) q^{79} +(57.3477 - 587.228i) q^{80} +(641.148 + 285.458i) q^{81} +(734.171 - 196.721i) q^{82} +(35.9505 - 226.983i) q^{83} +(146.192 - 81.2243i) q^{84} +(-1108.60 + 575.193i) q^{85} +(-605.536 - 672.516i) q^{86} +(-85.6660 + 4.48957i) q^{87} +(-417.034 + 21.8558i) q^{88} +(378.752 + 420.646i) q^{89} +(805.318 + 121.473i) q^{90} +(-211.837 + 353.346i) q^{91} +(-29.6788 + 187.385i) q^{92} +(-176.913 + 47.4036i) q^{93} +(463.056 + 206.166i) q^{94} +(1074.57 - 236.699i) q^{95} +(-164.691 - 369.902i) q^{96} +(-20.7184 - 130.811i) q^{97} +(877.177 + 168.709i) q^{98} -486.596i 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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