LMFDB - Embedded newform 175.4.x.a.3.33

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			3.33
Character	$\chi$	$=$	175.3
Dual form			175.4.x.a.117.33

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.413382 - 0.636552i) q^{2} +(3.48930 - 9.08993i) q^{3} +(3.01958 + 6.78209i) q^{4} +(7.61032 - 8.19042i) q^{5} +(-4.34381 - 5.97873i) q^{6} +(-18.3442 - 2.54741i) q^{7} +(11.5626 + 1.83134i) q^{8} +(-50.3868 - 45.3685i) q^{9} +(-2.06766 - 8.23014i) q^{10} +(-22.1419 - 24.5911i) q^{11} +(72.1849 - 3.78305i) q^{12} +(26.8007 + 13.6556i) q^{13} +(-9.20473 + 10.6240i) q^{14} +(-47.8957 - 97.7562i) q^{15} +(-33.7950 + 37.5332i) q^{16} +(36.0890 - 44.5662i) q^{17} +(-49.7084 + 13.3193i) q^{18} +(66.3549 + 29.5431i) q^{19} +(78.5281 + 26.8822i) q^{20} +(-87.1643 + 157.859i) q^{21} +(-24.8066 + 3.92898i) q^{22} +(43.0102 + 27.9311i) q^{23} +(56.9923 - 98.7136i) q^{24} +(-9.16603 - 124.663i) q^{25} +(19.7715 - 11.4151i) q^{26} +(-353.975 + 180.359i) q^{27} +(-38.1151 - 132.104i) q^{28} +(132.793 - 182.775i) q^{29} +(-82.0261 - 9.92249i) q^{30} +(-268.261 + 28.1954i) q^{31} +(34.1611 + 127.491i) q^{32} +(-300.791 + 115.463i) q^{33} +(-13.4502 - 41.3954i) q^{34} +(-160.470 + 130.860i) q^{35} +(155.546 - 478.721i) q^{36} +(14.5561 + 277.747i) q^{37} +(46.2356 - 30.0258i) q^{38} +(217.645 - 195.968i) q^{39} +(102.995 - 80.7658i) q^{40} +(145.309 - 47.2138i) q^{41} +(64.4535 + 120.741i) q^{42} +(234.929 + 234.929i) q^{43} +(99.9197 - 224.423i) q^{44} +(-755.047 + 67.4205i) q^{45} +(35.5593 - 15.8320i) q^{46} +(230.419 - 186.589i) q^{47} +(223.253 + 438.159i) q^{48} +(330.021 + 93.4606i) q^{49} +(-83.1439 - 45.6990i) q^{50} +(-279.179 - 483.552i) q^{51} +(-11.6869 + 222.999i) q^{52} +(-489.118 - 187.755i) q^{53} +(-31.5188 + 299.881i) q^{54} +(-369.919 - 5.79445i) q^{55} +(-207.443 - 63.0494i) q^{56} +(500.077 - 500.077i) q^{57} +(-61.4511 - 160.086i) q^{58} +(542.606 + 115.335i) q^{59} +(518.366 - 620.015i) q^{60} +(-22.1951 - 104.420i) q^{61} +(-92.9464 + 182.418i) q^{62} +(808.735 + 960.606i) q^{63} +(-288.995 - 93.9003i) q^{64} +(315.808 - 115.585i) q^{65} +(-50.8435 + 239.200i) q^{66} +(57.6126 + 46.6537i) q^{67} +(411.226 + 110.188i) q^{68} +(403.968 - 293.500i) q^{69} +(16.9641 + 156.243i) q^{70} +(646.549 + 469.746i) q^{71} +(-499.519 - 616.855i) q^{72} +(701.386 + 36.7581i) q^{73} +(182.818 + 105.550i) q^{74} +(-1165.17 - 351.670i) q^{75} +539.232i q^{76} +(343.533 + 507.510i) q^{77} +(-34.7736 - 219.552i) q^{78} +(-476.058 - 50.0358i) q^{79} +(50.2216 + 562.435i) q^{80} +(212.974 + 2026.31i) q^{81} +(30.0141 - 112.014i) q^{82} +(-67.8602 + 428.453i) q^{83} +(-1333.81 - 114.488i) q^{84} +(-90.3672 - 634.748i) q^{85} +(246.660 - 52.4293i) q^{86} +(-1198.05 - 1844.84i) q^{87} +(-210.985 - 324.888i) q^{88} +(124.794 - 26.5259i) q^{89} +(-269.206 + 508.497i) q^{90} +(-456.852 - 318.775i) q^{91} +(-59.5587 + 376.039i) q^{92} +(-679.749 + 2536.86i) q^{93} +(-23.5230 - 223.806i) q^{94} +(746.952 - 318.642i) q^{95} +(1278.08 + 134.332i) q^{96} +(35.2334 + 222.455i) q^{97} +(195.917 - 171.441i) q^{98} +2243.61i 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 $\left(\mathbb{Z}/175\mathbb{Z}\right)^\times$.

$n$	$101$	$127$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{7}{20}\right)$

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 $

$2$	0.413382	−	0.636552i	0.146153	−	0.225055i	−0.758011	−	0.652242i	$-0.773829\pi$
$2$	0.413382	−	0.636552i	0.146153	−	0.225055i	0.904163	+	0.427187i	$0.140495\pi$
$3$	3.48930	−	9.08993i	0.671516	−	1.74936i	0.00940178	−	0.999956i	$-0.497007\pi$
$3$	3.48930	−	9.08993i	0.671516	−	1.74936i	0.662114	−	0.749403i	$-0.269659\pi$
$4$	3.01958	+	6.78209i	0.377447	+	0.847761i
$5$	7.61032	−	8.19042i	0.680688	−	0.732574i
$5$	7.61032	−	8.19042i	0.680688	−	0.732574i
$6$	−4.34381	−	5.97873i	−0.295558	−	0.406801i
$7$	−18.3442	−	2.54741i	−0.990495	−	0.137547i
$7$	−18.3442	−	2.54741i	−0.990495	−	0.137547i
$8$	11.5626	+	1.83134i	0.511002	+	0.0809347i
$9$	−50.3868	−	45.3685i	−1.86618	−	1.68031i
$10$	−2.06766	−	8.23014i	−0.0653852	−	0.260260i
$11$	−22.1419	−	24.5911i	−0.606913	−	0.674045i	0.358873	−	0.933387i	$-0.383161\pi$
$11$	−22.1419	−	24.5911i	−0.606913	−	0.674045i	−0.965786	+	0.259341i	$0.916495\pi$
$12$	72.1849	−	3.78305i	1.73650	−	0.0910061i
$13$	26.8007	+	13.6556i	0.571783	+	0.291338i	0.715878	−	0.698226i	$-0.246027\pi$
$13$	26.8007	+	13.6556i	0.571783	+	0.291338i	−0.144094	+	0.989564i	$0.546027\pi$
$14$	−9.20473	+	10.6240i	−0.175719	+	0.202813i
$15$	−47.8957	−	97.7562i	−0.824441	−	1.68270i
$16$	−33.7950	+	37.5332i	−0.528047	+	0.586456i
$17$	36.0890	−	44.5662i	0.514875	−	0.635818i	−0.451710	−	0.892165i	$-0.649186\pi$
$17$	36.0890	−	44.5662i	0.514875	−	0.635818i	0.966585	+	0.256347i	$0.0825190\pi$
$18$	−49.7084	+	13.3193i	−0.650910	+	0.174411i
$19$	66.3549	+	29.5431i	0.801203	+	0.356719i	0.766146	−	0.642667i	$-0.222172\pi$
$19$	66.3549	+	29.5431i	0.801203	+	0.356719i	0.0350571	+	0.999385i	$0.488839\pi$
$20$	78.5281	+	26.8822i	0.877971	+	0.300552i
$21$	−87.1643	+	157.859i	−0.905753	+	1.64037i
$22$	−24.8066	+	3.92898i	−0.240399	+	0.0380755i
$23$	43.0102	+	27.9311i	0.389924	+	0.253219i	0.724680	−	0.689085i	$-0.241987\pi$
$23$	43.0102	+	27.9311i	0.389924	+	0.253219i	−0.334757	+	0.942305i	$0.608654\pi$
$24$	56.9923	−	98.7136i	0.484730	−	0.839576i
$25$	−9.16603	−	124.663i	−0.0733282	−	0.997308i
$26$	19.7715	−	11.4151i	0.149135	−	0.0861030i
$27$	−353.975	+	180.359i	−2.52306	+	1.28556i
$28$	−38.1151	−	132.104i	−0.257253	−	0.891620i
$29$	132.793	−	182.775i	0.850315	−	1.17036i	−0.133478	−	0.991052i	$-0.542615\pi$
$29$	132.793	−	182.775i	0.850315	−	1.17036i	0.983793	−	0.179306i	$-0.0573853\pi$
$30$	−82.0261	−	9.92249i	−0.499195	−	0.0603864i
$31$	−268.261	+	28.1954i	−1.55423	+	0.163356i	−0.842344	−	0.538940i	$-0.818825\pi$
$31$	−268.261	+	28.1954i	−1.55423	+	0.163356i	−0.711885	+	0.702296i	$0.752158\pi$
$32$	34.1611	+	127.491i	0.188715	+	0.704294i
$33$	−300.791	+	115.463i	−1.58670	+	0.609077i
$34$	−13.4502	−	41.3954i	−0.0678438	−	0.208802i
$35$	−160.470	+	130.860i	−0.774982	+	0.631984i
$36$	155.546	−	478.721i	0.720120	−	2.21630i
$37$	14.5561	+	277.747i	0.0646760	+	1.23409i	0.817523	+	0.575896i	$0.195347\pi$
$37$	14.5561	+	277.747i	0.0646760	+	1.23409i	−0.752847	+	0.658195i	$0.771320\pi$
$38$	46.2356	−	30.0258i	0.197379	−	0.128180i
$39$	217.645	−	195.968i	0.893616	−	0.804616i
$40$	102.995	−	80.7658i	0.407123	−	0.319255i
$41$	145.309	−	47.2138i	0.553499	−	0.179843i	−0.0188948	−	0.999821i	$-0.506015\pi$
$41$	145.309	−	47.2138i	0.553499	−	0.179843i	0.572394	+	0.819979i	$0.306015\pi$
$42$	64.4535	+	120.741i	0.236795	+	0.443588i
$43$	234.929	+	234.929i	0.833172	+	0.833172i	0.987949	−	0.154778i	$-0.0494661\pi$
$43$	234.929	+	234.929i	0.833172	+	0.833172i	−0.154778	+	0.987949i	$0.549466\pi$
$44$	99.9197	−	224.423i	0.342351	−	0.768934i
$45$	−755.047	+	67.4205i	−2.50124	+	0.223343i
$46$	35.5593	−	15.8320i	0.113977	−	0.0507457i
$47$	230.419	−	186.589i	0.715107	−	0.579082i	−0.201204	−	0.979549i	$-0.564485\pi$
$47$	230.419	−	186.589i	0.715107	−	0.579082i	0.916311	+	0.400467i	$0.131152\pi$
$48$	223.253	+	438.159i	0.671330	+	1.31756i
$49$	330.021	+	93.4606i	0.962161	+	0.272480i
$50$	−83.1439	−	45.6990i	−0.235166	−	0.129256i
$51$	−279.179	−	483.552i	−0.766527	−	1.32766i
$52$	−11.6869	+	222.999i	−0.0311669	+	0.594700i
$53$	−489.118	−	187.755i	−1.26765	−	0.486605i	−0.370706	−	0.928750i	$-0.620884\pi$
$53$	−489.118	−	187.755i	−1.26765	−	0.486605i	−0.896944	+	0.442145i	$0.854218\pi$
$54$	−31.5188	+	299.881i	−0.0794289	+	0.755715i
$55$	−369.919	−	5.79445i	−0.906906	−	0.0142059i
$56$	−207.443	−	63.0494i	−0.495012	−	0.150452i
$57$	500.077	−	500.077i	1.16205	−	1.16205i
$58$	−61.4511	−	160.086i	−0.139119	−	0.362419i
$59$	542.606	+	115.335i	1.19731	+	0.254496i	0.763079	−	0.646305i	$-0.223687\pi$
$59$	542.606	+	115.335i	1.19731	+	0.254496i	0.434231	+	0.900801i	$0.357020\pi$
$60$	518.366	−	620.015i	1.11535	−	1.33406i
$61$	−22.1951	−	104.420i	−0.0465867	−	0.219173i	0.948696	−	0.316189i	$-0.102403\pi$
$61$	−22.1951	−	104.420i	−0.0465867	−	0.219173i	−0.995283	+	0.0970161i	$0.969070\pi$
$62$	−92.9464	+	182.418i	−0.190390	+	0.373662i
$63$	808.735	+	960.606i	1.61732	+	1.92103i
$64$	−288.995	−	93.9003i	−0.564444	−	0.183399i
$65$	315.808	−	115.585i	0.602632	−	0.220563i
$66$	−50.8435	+	239.200i	−0.0948242	+	0.446113i
$67$	57.6126	+	46.6537i	0.105052	+	0.0850696i	0.680407	−	0.732834i	$-0.261803\pi$
$67$	57.6126	+	46.6537i	0.105052	+	0.0850696i	−0.575355	+	0.817904i	$0.695136\pi$
$68$	411.226	+	110.188i	0.733360	+	0.196503i
$69$	403.968	−	293.500i	0.704811	−	0.512075i
$70$	16.9641	+	156.243i	0.0289657	+	0.266780i
$71$	646.549	+	469.746i	1.08072	+	0.785191i	0.977809	−	0.209499i	$-0.0671835\pi$
$71$	646.549	+	469.746i	1.08072	+	0.785191i	0.102914	+	0.994690i	$0.467183\pi$
$72$	−499.519	−	616.855i	−0.817624	−	1.00968i
$73$	701.386	+	36.7581i	1.12453	+	0.0589344i	0.605519	−	0.795831i	$-0.292965\pi$
$73$	701.386	+	36.7581i	1.12453	+	0.0589344i	0.519015	+	0.854765i	$0.326299\pi$
$74$	182.818	+	105.550i	0.287191	+	0.165810i
$75$	−1165.17	−	351.670i	−1.79389	−	0.541431i
$76$			539.232i			0.813871i
$77$	343.533	+	507.510i	0.508431	+	0.751118i
$78$	−34.7736	−	219.552i	−0.0504787	−	0.318710i
$79$	−476.058	−	50.0358i	−0.677984	−	0.0712590i	−0.240723	−	0.970594i	$-0.577385\pi$
$79$	−476.058	−	50.0358i	−0.677984	−	0.0712590i	−0.437261	+	0.899335i	$0.644051\pi$
$80$	50.2216	+	562.435i	0.0701868	+	0.786027i
$81$	212.974	+	2026.31i	0.292145	+	2.77957i
$82$	30.0141	−	112.014i	0.0404208	−	0.150852i
$83$	−67.8602	+	428.453i	−0.0897425	+	0.566612i	0.901314	+	0.433167i	$0.142604\pi$
$83$	−67.8602	+	428.453i	−0.0897425	+	0.566612i	−0.991056	+	0.133445i	$0.957396\pi$
$84$	−1333.81	−	114.488i	−1.73251	−	0.148710i
$85$	−90.3672	−	634.748i	−0.115314	−	0.809977i
$86$	246.660	−	52.4293i	0.309280	−	0.0657394i
$87$	−1198.05	−	1844.84i	−1.47638	−	2.27342i
$88$	−210.985	−	324.888i	−0.255580	−	0.393559i
$89$	124.794	−	26.5259i	0.148631	−	0.0315925i	−0.132995	−	0.991117i	$-0.542459\pi$
$89$	124.794	−	26.5259i	0.148631	−	0.0315925i	0.281626	+	0.959524i	$0.409126\pi$
$90$	−269.206	+	508.497i	−0.315298	+	0.595559i
$91$	−456.852	−	318.775i	−0.526276	−	0.367216i
$92$	−59.5587	+	376.039i	−0.0674938	+	0.426139i
$93$	−679.749	+	2536.86i	−0.757921	+	2.82860i
$94$	−23.5230	−	223.806i	−0.0258107	−	0.245573i
$95$	746.952	−	318.642i	0.806692	−	0.344126i
$96$	1278.08	+	134.332i	1.35879	+	0.142814i
$97$	35.2334	+	222.455i	0.0368806	+	0.232855i	0.999242	−	0.0389165i	$-0.0123906\pi$
$97$	35.2334	+	222.455i	0.0368806	+	0.232855i	−0.962362	+	0.271771i	$0.912391\pi$
$98$	195.917	−	171.441i	0.201945	−	0.176716i
$99$			2243.61i			2.27769i
$100$	817.801	−	438.596i	0.817801	−	0.438596i
$101$	−165.100	−	95.3206i	−0.162654	−	0.0939085i	0.416463	−	0.909153i	$-0.363269\pi$
$101$	−165.100	−	95.3206i	−0.162654	−	0.0939085i	−0.579118	+	0.815244i	$0.696603\pi$
$102$	−423.213	−	22.1797i	−0.410827	−	0.0215305i
$103$	593.062	+	732.371i	0.567341	+	0.700608i	0.977387	−	0.211457i	$-0.0678207\pi$
$103$	593.062	+	732.371i	0.567341	+	0.700608i	−0.410046	+	0.912065i	$0.634487\pi$
$104$	284.879	+	206.977i	0.268603	+	0.195151i
$105$	629.585	+	1915.27i	0.585154	+	1.78011i
$106$	−321.708	+	233.734i	−0.294783	+	0.214173i
$107$	−7.81049	−	2.09282i	−0.00705672	−	0.00189084i	0.255289	−	0.966865i	$-0.417829\pi$
$107$	−7.81049	−	2.09282i	−0.00705672	−	0.00189084i	−0.262346	+	0.964974i	$0.584496\pi$
$108$	−2292.07	−	1856.08i	−2.04217	−	1.65372i
$109$	453.893	−	2135.40i	0.398854	−	1.87646i	−0.0771540	−	0.997019i	$-0.524583\pi$
$109$	453.893	−	2135.40i	0.398854	−	1.87646i	0.476008	−	0.879441i	$-0.342083\pi$
$110$	−156.606	+	233.077i	−0.135744	+	0.202028i
$111$	2575.50	+	836.829i	2.20230	+	0.715570i
$112$	715.556	−	602.427i	0.603694	−	0.508250i
$113$	79.6542	−	156.330i	0.0663118	−	0.130144i	−0.855471	−	0.517850i	$-0.826732\pi$
$113$	79.6542	−	156.330i	0.0663118	−	0.130144i	0.921783	+	0.387706i	$0.126732\pi$
$114$	−111.602	−	525.048i	−0.0916887	−	0.431362i
$115$	556.089	−	139.707i	0.450918	−	0.113284i
$116$	1640.57	+	348.715i	1.31313	+	0.279115i
$117$	−730.866	−	1903.97i	−0.577510	−	1.50446i
$118$	297.720	−	297.720i	0.232266	−	0.232266i
$119$	−775.554	+	725.600i	−0.597436	+	0.558955i
$120$	−374.776	−	1218.03i	−0.285102	−	0.926589i
$121$	24.6700	−	234.719i	0.0185349	−	0.176348i
$122$	−75.6436	−	29.0369i	−0.0561348	−	0.0215481i
$123$	77.8567	−	1485.59i	0.0570740	−	1.08904i
$124$	−1001.26	−	1734.23i	−0.725127	−	1.25596i
$125$	−1090.80	−	873.655i	−0.780515	−	0.625137i
$126$	945.792	−	117.705i	0.668713	−	0.0832222i
$127$	276.611	+	542.881i	0.193270	+	0.379314i	0.967223	−	0.253930i	$-0.0817232\pi$
$127$	276.611	+	542.881i	0.193270	+	0.379314i	−0.773953	+	0.633243i	$0.781723\pi$
$128$	−999.831	+	809.647i	−0.690417	+	0.559089i
$129$	2955.23	−	1315.75i	2.01700	−	0.898028i
$130$	56.9730	−	248.809i	0.0384374	−	0.167861i
$131$	−588.361	+	1321.48i	−0.392407	+	0.881360i	0.604025	+	0.796965i	$0.293563\pi$
$131$	−588.361	+	1321.48i	−0.392407	+	0.881360i	−0.996432	+	0.0843954i	$0.973104\pi$
$132$	−1691.34	−	1691.34i	−1.11525	−	1.11525i
$133$	−1141.97	−	710.979i	−0.744522	−	0.463531i
$134$	53.5135	−	17.3876i	0.0344990	−	0.0112094i
$135$	−1216.65	+	4271.80i	−0.775645	+	2.72339i
$136$	498.901	−	449.212i	0.314562	−	0.283233i
$137$	1047.37	−	680.172i	0.653161	−	0.424168i	−0.175069	−	0.984556i	$-0.556015\pi$
$137$	1047.37	−	680.172i	0.653161	−	0.424168i	0.828230	+	0.560388i	$0.189348\pi$
$138$	−19.8350	−	378.474i	−0.0122353	−	0.233463i
$139$	−343.028	+	1055.73i	−0.209318	+	0.644216i	0.790190	+	0.612862i	$0.209982\pi$
$139$	−343.028	+	1055.73i	−0.209318	+	0.644216i	−0.999508	+	0.0313538i	$0.990018\pi$
$140$	−1372.06	−	693.177i	−0.828286	−	0.418458i
$141$	−892.086	−	2745.56i	−0.532817	−	1.63984i
$142$	566.289	−	217.378i	0.334662	−	0.128465i
$143$	−257.612	−	961.422i	−0.150648	−	0.562225i
$144$	3405.65	−	357.948i	1.97086	−	0.207146i
$145$	−486.400	−	2478.61i	−0.278574	−	1.41957i
$146$	313.339	−	431.274i	0.177617	−	0.244469i
$147$	2001.09	−	2673.76i	1.12277	−	1.50019i
$148$	−1839.75	+	937.401i	−1.02180	+	0.520634i
$149$	−2033.09	+	1173.80i	−1.11783	+	0.645381i	−0.940847	−	0.338832i	$-0.889968\pi$
$149$	−2033.09	+	1173.80i	−1.11783	+	0.645381i	−0.176986	+	0.984213i	$0.556635\pi$
$150$	−705.514	+	596.315i	−0.384033	+	0.324593i
$151$	−418.122	+	724.208i	−0.225339	+	0.390299i	−0.956421	−	0.291991i	$-0.905682\pi$
$151$	−418.122	+	724.208i	−0.225339	+	0.390299i	0.731082	+	0.682290i	$0.239016\pi$
$152$	713.134	+	463.115i	0.380545	+	0.247129i
$153$	−3840.31	+	608.246i	−2.02922	+	0.321397i
$154$	465.067	−	8.88148i	0.243352	−	0.00464734i
$155$	−1810.62	+	2411.75i	−0.938275	+	1.24978i
$156$	1986.27	+	884.344i	1.01941	+	0.453873i
$157$	152.272	−	40.8011i	0.0774051	−	0.0207406i	−0.219909	−	0.975520i	$-0.570576\pi$
$157$	152.272	−	40.8011i	0.0774051	−	0.0207406i	0.297314	+	0.954780i	$0.403909\pi$
$158$	−228.644	+	282.352i	−0.115126	+	0.142169i
$159$	−3413.35	+	3790.91i	−1.70249	+	1.89081i
$160$	1304.18	+	690.453i	0.644403	+	0.341157i
$161$	−717.836	−	621.940i	−0.351388	−	0.304445i
$162$	1377.89	+	702.071i	0.668255	+	0.340493i
$163$	4101.68	−	214.960i	1.97097	−	0.103294i	0.977023	−	0.213134i	$-0.0683671\pi$
$163$	4101.68	−	214.960i	1.97097	−	0.103294i	0.993949	+	0.109840i	$0.0350338\pi$
$164$	758.980	+	842.933i	0.361381	+	0.401354i
$165$	−1343.43	+	3342.32i	−0.633853	+	1.57696i
$166$	244.680	+	220.311i	0.114403	+	0.103009i
$167$	−3020.72	−	478.435i	−1.39970	−	0.221691i	−0.589466	−	0.807793i	$-0.700662\pi$
$167$	−3020.72	−	478.435i	−1.39970	−	0.221691i	−0.810237	+	0.586102i	$0.800662\pi$
$168$	−1296.94	+	1665.64i	−0.595604	+	0.764923i
$169$	−759.562	−	1045.45i	−0.345727	−	0.475853i
$170$	−441.406	−	204.870i	−0.199143	−	0.0924282i
$171$	−2003.08	−	4499.00i	−0.895788	−	2.01197i
$172$	−883.923	+	2302.70i	−0.391852	+	1.02081i
$173$	75.9188	−	116.905i	0.0333641	−	0.0513763i	−0.821595	−	0.570072i	$-0.806915\pi$
$173$	75.9188	−	116.905i	0.0333641	−	0.0513763i	0.854959	+	0.518695i	$0.173582\pi$
$174$	−1669.59			−0.727421
$175$	−149.425	+	2310.20i	−0.0645457	+	0.997915i
$176$	1671.27			0.715777
$177$	2941.70	−	4529.82i	1.24922	−	1.92363i
$178$	34.7026	−	90.4034i	0.0146128	−	0.0380675i
$179$	−215.955	−	485.042i	−0.0901744	−	0.202535i	0.862828	−	0.505497i	$-0.168691\pi$
$179$	−215.955	−	485.042i	−0.0901744	−	0.202535i	−0.953003	+	0.302962i	$0.902024\pi$
$180$	−2737.17	−	4917.21i	−1.13343	−	2.03615i
$181$	−1005.93	−	1384.54i	−0.413093	−	0.568574i	0.550876	−	0.834587i	$-0.314294\pi$
$181$	−1005.93	−	1384.54i	−0.413093	−	0.568574i	−0.963970	+	0.266013i	$0.914294\pi$
$182$	−391.771	+	159.034i	−0.159560	+	0.0647715i
$183$	−1026.61	−	162.600i	−0.414696	−	0.0656815i
$184$	446.160	+	401.724i	0.178757	+	0.160954i
$185$	2385.64	+	1994.53i	0.948087	+	0.792651i
$186$	1333.85	+	1481.39i	0.525819	+	0.583981i
$187$	−1895.01	+	99.3135i	−0.741054	+	0.0388370i
$188$	1961.23	+	999.298i	0.760838	+	0.387667i
$189$	6952.85	−	2406.83i	2.67590	−	0.926303i
$190$	105.944	−	607.195i	0.0404527	−	0.231845i
$191$	−1796.68	+	1995.41i	−0.680644	+	0.755931i	−0.980170	−	0.198157i	$-0.936505\pi$
$191$	−1796.68	+	1995.41i	−0.680644	+	0.755931i	0.299527	+	0.954088i	$0.403171\pi$
$192$	−1861.94	+	2299.30i	−0.699864	+	0.864260i
$193$	−1624.40	+	435.257i	−0.605839	+	0.162334i	−0.548682	−	0.836031i	$-0.684870\pi$
$193$	−1624.40	+	435.257i	−0.605839	+	0.162334i	−0.0571572	+	0.998365i	$0.518204\pi$
$194$	156.169	+	69.5310i	0.0577953	+	0.0257321i
$195$	51.2840	−	3273.98i	0.0188335	−	1.20233i
$196$	362.668	+	2520.44i	0.132168	+	0.918529i
$197$	−3900.69	+	617.809i	−1.41073	+	0.223437i	−0.814865	−	0.579651i	$-0.803189\pi$
$197$	−3900.69	+	617.809i	−1.41073	+	0.223437i	−0.595860	+	0.803088i	$0.703189\pi$
$198$	1428.18	+	927.469i	0.512607	+	0.332891i
$199$	−1370.04	+	2372.97i	−0.488037	+	0.845304i	−0.999905	−	0.0137594i	$-0.995620\pi$
$199$	−1370.04	+	2372.97i	−0.488037	+	0.845304i	0.511869	+	0.859064i	$0.328953\pi$
$200$	122.318	−	1458.23i	0.0432460	−	0.515561i
$201$	625.107	−	360.906i	0.219361	−	0.126648i
$202$	−128.926	+	65.6911i	−0.0449069	+	0.0228812i
$203$	−2901.60	+	3014.58i	−1.00321	+	1.04228i
$204$	2436.49	−	3353.54i	0.836217	−	1.15095i
$205$	719.148	−	1549.46i	0.245012	−	0.527896i
$206$	711.353	−	74.7662i	0.240594	−	0.0252874i
$207$	−899.952	−	3358.67i	−0.302179	−	1.12775i
$208$	−1418.27	+	544.423i	−0.472786	+	0.181485i
$209$	−742.728	−	2285.88i	−0.245816	−	0.756544i
$210$	1479.43	+	390.975i	0.486144	+	0.128475i
$211$	−1551.01	+	4773.53i	−0.506048	+	1.55746i	0.292954	+	0.956127i	$0.405362\pi$
$211$	−1551.01	+	4773.53i	−0.506048	+	1.55746i	−0.799002	+	0.601329i	$0.794638\pi$
$212$	−203.561	−	3884.18i	−0.0659464	−	1.25833i
$213$	6525.96	−	4238.01i	2.09930	−	1.36330i
$214$	−4.56090	+	4.10665i	−0.00145690	+	0.00131180i
$215$	3712.06	−	136.283i	1.17749	−	0.0432298i
$216$	−4423.19	+	1437.18i	−1.39333	+	0.452721i
$217$	4992.87	+	166.149i	1.56193	+	0.0519766i
$218$	−1171.66	−	1171.66i	−0.364014	−	0.364014i
$219$	2781.47	−	6247.29i	0.858240	−	1.92764i
$220$	−1077.70	−	2526.32i	−0.330266	−	0.774201i
$221$	1575.79	−	701.588i	0.479635	−	0.213547i
$222$	1597.35	−	1293.51i	0.482915	−	0.391056i
$223$	−46.3331	−	90.9338i	−0.0139134	−	0.0273066i	0.883945	−	0.467591i	$-0.154878\pi$
$223$	−46.3331	−	90.9338i	−0.0139134	−	0.0273066i	−0.897859	+	0.440284i	$0.854878\pi$
$224$	−301.887	−	2425.74i	−0.0900476	−	0.723557i
$225$	−5193.95	+	6697.24i	−1.53895	+	1.98437i
$226$	−66.5847	−	115.328i	−0.0195980	−	0.0339447i
$227$	−218.612	+	4171.37i	−0.0639198	+	1.21966i	0.758841	+	0.651275i	$0.225766\pi$
$227$	−218.612	+	4171.37i	−0.0639198	+	1.21966i	−0.822761	+	0.568387i	$0.807568\pi$
$228$	4901.59	+	1881.54i	1.42375	+	0.546527i
$229$	−227.476	+	2164.29i	−0.0656420	+	0.624542i	0.911404	+	0.411513i	$0.134999\pi$
$229$	−227.476	+	2164.29i	−0.0656420	+	0.624542i	−0.977046	+	0.213029i	$0.931667\pi$
$230$	140.947	−	411.732i	0.0404076	−	0.118038i
$231$	5811.92	−	1351.84i	1.65539	−	0.385041i
$232$	1870.17	−	1870.17i	0.529235	−	0.529235i
$233$	1055.22	+	2748.94i	0.296694	+	0.772914i	0.998184	+	0.0602353i	$0.0191851\pi$
$233$	1055.22	+	2748.94i	0.296694	+	0.772914i	−0.701490	+	0.712679i	$0.747482\pi$
$234$	−1514.10	−	321.833i	−0.422992	−	0.0899097i
$235$	225.314	−	3307.23i	0.0625442	−	0.918043i
$236$	856.234	+	4028.26i	0.236170	+	1.11109i
$237$	−2115.93	+	4152.75i	−0.579935	+	1.13819i
$238$	141.282	+	793.630i	0.0384788	+	0.216149i
$239$	−864.320	−	280.835i	−0.233926	−	0.0760070i	0.189708	−	0.981840i	$-0.439246\pi$
$239$	−864.320	−	280.835i	−0.233926	−	0.0760070i	−0.423634	+	0.905833i	$0.639246\pi$
$240$	5287.74	+	1505.99i	1.42217	+	0.405048i
$241$	1107.84	−	5211.99i	0.296110	−	1.39309i	−0.538676	−	0.842513i	$-0.681075\pi$
$241$	1107.84	−	5211.99i	0.296110	−	1.39309i	0.834786	−	0.550575i	$-0.185591\pi$
$242$	−139.213	−	112.732i	−0.0369791	−	0.0299451i
$243$	8801.20	+	2358.28i	2.32345	+	0.622566i
$244$	641.163	−	465.832i	0.168222	−	0.122221i
$245$	3277.05	−	1991.75i	0.854543	−	0.519380i
$246$	−913.473	−	663.677i	−0.236752	−	0.172010i
$247$	1374.93	+	1697.90i	0.354189	+	0.437387i
$248$	−3153.44	−	165.265i	−0.807435	−	0.0423159i
$249$	3657.82	+	2111.85i	0.930944	+	0.537481i
$250$	−1007.05	+	333.200i	−0.254765	+	0.0842936i
$251$			112.858i			0.0283806i	0.999899	+	0.0141903i	$0.00451706\pi$
$251$			112.858i			0.0283806i	−0.999899	+	0.0141903i	$0.995483\pi$
$252$	−4072.87	+	8385.53i	−1.01812	+	2.09619i
$253$	−265.471	−	1676.12i	−0.0659684	−	0.416508i
$254$	459.918	+	48.3393i	0.113613	+	0.0119413i
$255$	−6085.14	−	1393.39i	−1.49438	−	0.342187i
$256$	−152.032	−	1446.49i	−0.0371172	−	0.353146i
$257$	−1777.33	+	6633.08i	−0.431388	+	1.60996i	0.318177	+	0.948031i	$0.396929\pi$
$257$	−1777.33	+	6633.08i	−0.431388	+	1.60996i	−0.749565	+	0.661930i	$0.769737\pi$
$258$	384.093	−	2425.07i	0.0926844	−	0.585186i
$259$	440.516	−	5132.14i	0.105685	−	1.23126i
$260$	1737.52	+	1792.82i	0.414447	+	0.427637i
$261$	−14983.2	+	3184.79i	−3.55341	+	0.755300i
$262$	597.973	+	920.798i	0.141003	+	0.217126i
$263$	1277.59	+	1967.32i	0.299543	+	0.461255i	0.956108	−	0.293014i	$-0.0946582\pi$
$263$	1277.59	+	1967.32i	0.299543	+	0.461255i	−0.656566	+	0.754269i	$0.727992\pi$
$264$	−3689.40	+	784.205i	−0.860101	+	0.182820i
$265$	−5260.13	+	2577.21i	−1.21935	+	0.597421i
$266$	−924.645	+	433.018i	−0.213134	+	0.0998123i
$267$	194.326	−	1226.93i	0.0445415	−	0.281224i
$268$	−142.444	+	531.608i	−0.0324670	+	0.121168i
$269$	−317.428	−	3020.13i	−0.0719477	−	0.684536i	−0.969744	−	0.244125i	$-0.921499\pi$
$269$	−317.428	−	3020.13i	−0.0719477	−	0.684536i	0.897796	−	0.440411i	$-0.145167\pi$
$270$	2216.28	+	2540.34i	0.499551	+	0.572594i
$271$	−1333.80	−	140.188i	−0.298977	−	0.0314238i	−0.0461477	−	0.998935i	$-0.514694\pi$
$271$	−1333.80	−	140.188i	−0.298977	−	0.0314238i	−0.252829	+	0.967511i	$0.581361\pi$
$272$	453.083	+	2860.65i	0.101001	+	0.637693i
$273$	−4491.74	+	3040.45i	−0.995796	+	0.674054i
$274$		−	947.878i		−	0.208991i
$275$	−2862.66	+	2985.69i	−0.627727	+	0.654706i
$276$	3210.35	+	1853.50i	0.700147	+	0.404230i
$277$	−2026.96	−	106.228i	−0.439668	−	0.0230420i	−0.168782	−	0.985653i	$-0.553983\pi$
$277$	−2026.96	−	106.228i	−0.439668	−	0.0230420i	−0.270886	+	0.962611i	$0.587317\pi$
$278$	530.227	+	654.775i	0.114392	+	0.141262i
$279$	14796.0	+	10749.9i	3.17496	+	2.30674i
$280$	−2095.11	+	1219.22i	−0.447166	+	0.260222i
$281$	−908.221	+	659.861i	−0.192811	+	0.140086i	−0.680003	−	0.733210i	$-0.738021\pi$
$281$	−908.221	+	659.861i	−0.192811	+	0.140086i	0.487191	+	0.873295i	$0.338021\pi$
$282$	−2116.46	−	567.105i	−0.446927	−	0.119754i
$283$	−6254.75	−	5065.00i	−1.31380	−	1.06390i	−0.993168	−	0.116695i	$-0.962770\pi$
$283$	−6254.75	−	5065.00i	−1.31380	−	1.06390i	−0.320636	−	0.947202i	$-0.603897\pi$
$284$	−1233.55	+	5803.39i	−0.257738	+	1.21256i
$285$	−290.095	−	7901.59i	−0.0602939	−	1.64228i
$286$	−718.487	−	233.451i	−0.148549	−	0.0482665i
$287$	−2785.86	+	495.938i	−0.572975	+	0.102001i
$288$	4062.80	−	7973.69i	0.831259	−	1.63144i
$289$	337.738	+	1588.93i	0.0687438	+	0.323414i
$290$	−1778.83	−	714.993i	−0.360195	−	0.144779i
$291$	2145.04	+	455.943i	0.432112	+	0.0918483i
$292$	1868.59	+	4867.85i	0.374490	+	0.975581i
$293$	−1883.35	+	1883.35i	−0.375516	+	0.375516i	−0.869482	−	0.493965i	$-0.835547\pi$
$293$	−1883.35	+	1883.35i	−0.375516	+	0.375516i	0.493965	+	0.869482i	$0.335547\pi$
$294$	−874.772	−	2379.08i	−0.173530	−	0.471942i
$295$	5074.05	−	3566.44i	1.00143	−	0.703886i
$296$	−340.343	+	3238.15i	−0.0668313	+	0.635857i
$297$	12272.9	+	4711.14i	2.39780	+	0.920430i
$298$	−93.2542	+	1779.40i	−0.0181278	+	0.345898i
$299$	771.286	+	1335.91i	0.149179	+	0.258386i
$300$	−1133.26	−	8964.15i	−0.218096	−	1.72515i
$301$	−3711.13	−	4908.06i	−0.710652	−	0.939853i
$302$	288.152	+	565.531i	0.0549050	+	0.107757i
$303$	−1442.54	+	1168.15i	−0.273505	+	0.221480i
$304$	−3351.31	+	1492.10i	−0.632273	+	0.281506i
$305$	−1024.15	−	612.880i	−0.192272	−	0.115060i
$306$	−1200.34	+	2696.00i	−0.224244	+	0.503660i
$307$	−339.385	−	339.385i	−0.0630936	−	0.0630936i	0.674856	−	0.737950i	$-0.264206\pi$
$307$	−339.385	−	339.385i	−0.0630936	−	0.0630936i	−0.737950	+	0.674856i	$0.764206\pi$
$308$	−2404.65	+	3862.34i	−0.444862	+	0.714536i
$309$	8726.57	−	2835.44i	1.60659	−	0.522014i
$310$	786.725	+	2149.53i	0.144139	+	0.393822i
$311$	6060.85	−	5457.22i	1.10508	−	0.995017i	0.105078	−	0.994464i	$-0.466491\pi$
$311$	6060.85	−	5457.22i	1.10508	−	0.995017i	1.00000		0.000553044i	$-0.000176039\pi$
$312$	2875.43	−	1867.33i	0.521761	−	0.338835i
$313$	225.426	+	4301.39i	0.0407088	+	0.776770i	0.940364	+	0.340169i	$0.110484\pi$
$313$	225.426	+	4301.39i	0.0407088	+	0.776770i	−0.899656	+	0.436600i	$0.856182\pi$
$314$	36.9743	−	113.795i	0.00664517	−	0.0204517i
$315$	14022.5	+	686.638i	2.50818	+	0.122818i
$316$	−1098.15	−	3379.76i	−0.195493	−	0.601665i
$317$	8509.09	−	3266.33i	1.50763	−	0.578724i	0.542397	−	0.840122i	$-0.317517\pi$
$317$	8509.09	−	3266.33i	1.50763	−	0.578724i	0.965231	+	0.261398i	$0.0841834\pi$
$318$	1002.10	+	3739.87i	0.176713	+	0.659502i
$319$	−7434.93	+	781.443i	−1.30494	+	0.137155i
$320$	−2968.43	+	1652.38i	−0.518564	+	0.288659i
$321$	−46.2767	+	63.6944i	−0.00804646	+	0.0110750i
$322$	−692.638	+	199.842i	−0.119873	+	0.0345862i
$323$	3711.31	−	1891.01i	0.639327	−	0.325754i
$324$	−13099.5	+	7563.01i	−2.24614	+	1.29681i
$325$	1456.70	−	3466.24i	0.248626	−	0.591607i
$326$	1558.73	−	2699.79i	0.264816	−	0.458674i
$327$	−17826.9	−	11576.9i	−3.01477	−	1.95781i
$328$	1766.62	−	279.805i	0.297395	−	0.0471027i
$329$	−4702.17	+	2835.87i	−0.787961	+	0.475217i
$330$	1572.21	+	2236.82i	0.262265	+	0.373129i
$331$	−6934.80	−	3087.57i	−1.15157	−	0.512714i	−0.260009	−	0.965606i	$-0.583726\pi$
$331$	−6934.80	−	3087.57i	−1.15157	−	0.512714i	−0.891565	+	0.452892i	$0.850392\pi$
$332$	−3110.71	+	833.513i	−0.514224	+	0.137786i
$333$	11867.5	−	14655.2i	1.95296	−	2.41171i
$334$	−1553.26	+	1725.07i	−0.254463	+	0.282610i
$335$	820.564	−	116.821i	0.133827	−	0.0190526i
$336$	−2979.24	−	8606.41i	−0.483722	−	1.39738i
$337$	6561.45	+	3343.23i	1.06061	+	0.540407i	0.895130	−	0.445806i	$-0.147083\pi$
$337$	6561.45	+	3343.23i	1.06061	+	0.540407i	0.165479	+	0.986213i	$0.447083\pi$
$338$	−979.471	+	51.3319i	−0.157622	+	0.00826062i
$339$	−1143.09	−	1269.53i	−0.183140	−	0.203397i
$340$	4032.04	−	2529.55i	0.643142	−	0.403483i
$341$	6633.18	+	5972.54i	1.05339	+	0.948478i
$342$	−3691.89	−	584.738i	−0.583727	−	0.0924532i
$343$	−5815.91	−	2555.16i	−0.915537	−	0.402233i
$344$	2286.17	+	3146.64i	0.358319	+	0.493184i
$345$	670.437	−	5542.29i	0.104624	−	0.864890i
$346$	−43.0325	−	96.6525i	−0.00668624	−	0.0150175i
$347$	2026.71	−	5279.77i	0.313544	−	0.816809i	−0.682739	−	0.730662i	$-0.739211\pi$
$347$	2026.71	−	5279.77i	0.313544	−	0.816809i	0.996282	−	0.0861465i	$-0.0274553\pi$
$348$	8894.24	−	13695.9i	1.37006	−	2.10971i
$349$	−9481.19			−1.45420			−0.727101	−	0.686530i	$-0.759133\pi$
$349$	−9481.19			−1.45420			−0.727101	+	0.686530i	$0.759133\pi$
$350$	1408.80	+	1050.11i	0.215152	+	0.160374i
$351$	−11949.7			−1.81717
$352$	2378.75	−	3662.95i	0.360192	−	0.554648i
$353$	−1713.29	+	4463.27i	−0.258326	+	0.672963i	0.741671	+	0.670764i	$0.234034\pi$
$353$	−1713.29	+	4463.27i	−0.258326	+	0.672963i	−0.999998	+	0.00219973i	$0.999300\pi$
$354$	−1667.42	−	3745.09i	−0.250346	−	0.562286i
$355$	8767.86	−	1720.60i	1.31084	−	0.257239i
$356$	556.727	+	766.269i	0.0828834	+	0.114079i
$357$	3889.51	+	9581.57i	0.576624	+	1.42048i
$358$	−398.027	−	63.0412i	−0.0587608	−	0.00930679i
$359$	−7708.58	−	6940.83i	−1.13327	−	1.02040i	−0.999568	−	0.0293767i	$-0.990648\pi$
$359$	−7708.58	−	6940.83i	−1.13327	−	1.02040i	−0.133699	−	0.991022i	$-0.542686\pi$
$360$	−8853.81	−	603.190i	−1.29621	−	0.0883081i
$361$	−1059.39	−	1176.57i	−0.154453	−	0.171537i
$362$	−1297.16	+	67.9814i	−0.188335	+	0.00987023i
$363$	−2047.50	−	1043.25i	−0.296049	−	0.150845i
$364$	782.457	−	4060.97i	0.112670	−	0.584761i
$365$	5638.84	−	5464.91i	0.808631	−	0.783688i
$366$	−527.886	+	586.277i	−0.0753909	+	0.0837301i
$367$	−494.332	+	610.449i	−0.0703104	+	0.0868262i	−0.811088	−	0.584925i	$-0.801124\pi$
$367$	−494.332	+	610.449i	−0.0703104	+	0.0868262i	0.740777	+	0.671751i	$0.234457\pi$
$368$	−2501.87	+	670.375i	−0.354400	+	0.0949612i
$369$	−9463.68	−	4213.50i	−1.33512	−	0.594434i
$370$	2255.80	−	694.087i	0.316956	−	0.0975239i
$371$	8494.20	+	4690.20i	1.18867	+	0.656342i
$372$	−19257.7	+	3050.13i	−2.68405	+	0.425112i
$373$	2450.37	+	1591.29i	0.340148	+	0.220895i	0.703397	−	0.710798i	$-0.251666\pi$
$373$	2450.37	+	1591.29i	0.340148	+	0.220895i	−0.363249	+	0.931692i	$0.618332\pi$
$374$	−720.146	+	1247.33i	−0.0995665	+	0.172454i
$375$	−11747.6	+	6866.88i	−1.61772	+	0.945611i
$376$	3005.96	−	1735.49i	0.412289	−	0.238035i
$377$	6054.87	−	3085.11i	0.827166	−	0.421462i
$378$	1342.11	−	5420.79i	0.182620	−	0.737607i
$379$	6069.38	−	8353.79i	0.822594	−	1.13220i	−0.166662	−	0.986014i	$-0.553299\pi$
$379$	6069.38	−	8353.79i	0.822594	−	1.13220i	0.989257	−	0.146190i	$-0.0467011\pi$
$380$	4416.54	+	4103.73i	0.596220	+	0.553992i
$381$	5899.93	−	620.107i	0.793340	−	0.0833834i
$382$	527.470	+	1968.54i	0.0706485	+	0.263664i
$383$	−1553.33	+	596.268i	−0.207236	+	0.0795505i	−0.459772	−	0.888037i	$-0.652069\pi$
$383$	−1553.33	+	596.268i	−0.207236	+	0.0795505i	0.252536	+	0.967588i	$0.418735\pi$
$384$	3870.93	+	11913.5i	0.514421	+	1.58322i
$385$	6771.11	+	1048.63i	0.896332	+	0.138813i
$386$	−394.434	+	1213.94i	−0.0520108	+	0.160073i
$387$	−1178.95	−	22495.7i	−0.154856	−	2.95484i
$388$	−1402.32	+	910.677i	−0.183485	+	0.119156i
$389$	−1984.22	+	1786.60i	−0.258623	+	0.232865i	−0.788234	−	0.615375i	$-0.789004\pi$
$389$	−1984.22	+	1786.60i	−0.258623	+	0.232865i	0.529611	+	0.848240i	$0.322338\pi$
$390$	−2062.86	−	1386.05i	−0.267838	−	0.179962i
$391$	2796.98	−	908.795i	0.361763	−	0.117544i
$392$	3644.76	+	1685.03i	0.469613	+	0.217110i
$393$	9959.20	+	9959.20i	1.27831	+	1.27831i
$394$	−1219.21	+	2738.39i	−0.155895	+	0.350147i
$395$	−4032.77	+	3518.33i	−0.513698	+	0.448168i
$396$	−15216.4	+	6774.77i	−1.93094	+	0.859709i
$397$	1134.99	−	919.101i	0.143486	−	0.116192i	−0.554890	−	0.831924i	$-0.687240\pi$
$397$	1134.99	−	919.101i	0.143486	−	0.116192i	0.698376	+	0.715731i	$0.253906\pi$
$398$	944.173	+	1853.04i	0.118912	+	0.233379i
$399$	−10447.4	+	7899.62i	−1.31084	+	0.991167i
$400$	4988.78	+	3868.98i	0.623598	+	0.483622i
$401$	1405.44	+	2434.29i	0.175023	+	0.303149i	0.940169	−	0.340708i	$-0.110667\pi$
$401$	1405.44	+	2434.29i	0.175023	+	0.303149i	−0.765146	+	0.643857i	$0.777333\pi$
$402$	28.6726	−	547.105i	0.00355736	−	0.0678784i
$403$	−7574.62	−	2907.62i	−0.936274	−	0.359402i
$404$	147.940	−	1407.55i	0.0182185	−	0.173337i
$405$	18217.1	+	13676.5i	2.23510	+	1.67800i
$406$	719.469	+	3093.19i	0.0879475	+	0.378109i
$407$	6507.81	−	6507.81i	0.792581	−	0.792581i
$408$	−2342.50	−	6102.41i	−0.284242	−	0.740476i
$409$	8951.11	+	1902.62i	1.08216	+	0.230020i	0.714285	−	0.699855i	$-0.246752\pi$
$409$	8951.11	+	1902.62i	1.08216	+	0.230020i	0.367876	+	0.929875i	$0.380085\pi$
$410$	−689.026	−	1098.29i	−0.0829965	−	0.132295i
$411$	−2528.12	−	11893.9i	−0.303414	−	1.42745i
$412$	−3176.20	+	6233.65i	−0.379807	+	0.745412i
$413$	−9659.89	−	3497.96i	−1.15093	−	0.416764i
$414$	−2509.99	−	815.545i	−0.297969	−	0.0968161i
$415$	2992.77	+	3816.47i	0.353998	+	0.451429i
$416$	−825.429	+	3883.34i	−0.0972836	+	0.457683i
$417$	8399.60	+	6801.87i	0.986404	+	0.798774i
$418$	−1762.11	−	472.157i	−0.206191	−	0.0552487i
$419$	−6860.13	+	4984.18i	−0.799855	+	0.581129i	−0.910872	−	0.412690i	$-0.864589\pi$
$419$	−6860.13	+	4984.18i	−0.799855	+	0.581129i	0.111017	+	0.993819i	$0.464589\pi$
$420$	−11088.5	+	10053.2i	−1.28824	+	1.16797i
$421$	11332.0	+	8233.16i	1.31184	+	0.953111i	0.999996	+	0.00297904i	$0.000948258\pi$
$421$	11332.0	+	8233.16i	1.31184	+	0.953111i	0.311849	+	0.950132i	$0.399052\pi$
$422$	2397.44	+	2960.59i	0.276553	+	0.341515i
$423$	−20075.3	−	1052.10i	−2.30756	−	0.120934i
$424$	−5311.65	−	3066.68i	−0.608388	−	0.351253i
$425$	−5886.58	−	4090.49i	−0.671861	−	0.466866i
$426$		−	5906.03i		−	0.671709i
$427$	141.152	+	1972.04i	0.0159972	+	0.223498i
$428$	−9.39075	−	59.2909i	−0.00106056	−	0.00669610i
$429$	−9638.15	−	1013.01i	−1.08470	−	0.114006i
$430$	1447.75	−	2419.25i	0.162364	−	0.271318i
$431$	−1224.91	−	11654.3i	−0.136896	−	1.30247i	−0.820089	−	0.572236i	$-0.806076\pi$
$431$	−1224.91	−	11654.3i	−0.136896	−	1.30247i	0.683193	−	0.730238i	$-0.260591\pi$
$432$	5193.14	−	19381.1i	0.578368	−	2.15850i
$433$	1131.82	−	7146.06i	0.125617	−	0.793113i	−0.841775	−	0.539828i	$-0.818489\pi$
$433$	1131.82	−	7146.06i	0.125617	−	0.793113i	0.967392	−	0.253284i	$-0.0815108\pi$
$434$	2169.72	−	3109.54i	0.239977	−	0.343923i
$435$	−24227.6	−	4227.26i	−2.67040	−	0.465935i
$436$	15853.0	−	3369.66i	1.74134	−	0.370132i
$437$	2028.76	+	3124.02i	0.222080	+	0.341973i
$438$	−2826.92	−	4353.07i	−0.308391	−	0.474881i
$439$	−9106.65	+	1935.68i	−0.990061	+	0.210444i	−0.674350	−	0.738412i	$-0.735576\pi$
$439$	−9106.65	+	1935.68i	−0.990061	+	0.210444i	−0.315711	+	0.948856i	$0.602243\pi$
$440$	−4266.63	−	744.447i	−0.462281	−	0.0806594i
$441$	−12388.6	−	19681.7i	−1.33771	−	2.12523i
$442$	204.807	−	1293.10i	0.0220400	−	0.139155i
$443$	1440.94	−	5377.64i	0.154539	−	0.576748i	−0.844605	−	0.535390i	$-0.820165\pi$
$443$	1440.94	−	5377.64i	0.154539	−	0.576748i	0.999144	−	0.0413586i	$-0.0131686\pi$
$444$	2101.47	+	19994.1i	0.224620	+	2.13711i
$445$	732.467	−	1223.99i	0.0780276	−	0.130388i
$446$	−77.0374	−	8.09695i	−0.00817898	−	0.000859645i
$447$	3575.75	+	22576.4i	0.378361	+	2.38887i
$448$	5062.19	+	2458.72i	0.533853	+	0.259294i
$449$		−	11421.2i		−	1.20044i	−0.799834	−	0.600222i	$-0.795079\pi$
$449$		−	11421.2i		−	1.20044i	0.799834	−	0.600222i	$-0.204921\pi$
$450$	2116.06	+	6074.74i	0.221671	+	0.636368i
$451$	−4378.46	−	2527.91i	−0.457148	−	0.263935i
$452$	1300.77	+	68.1703i	0.135360	+	0.00709394i
$453$	5124.05	+	6327.68i	0.531455	+	0.656292i
$454$	2564.92	+	1863.53i	0.265149	+	0.192642i
$455$	−6087.69	+	1315.83i	−0.627242	+	0.135576i
$456$	6698.02	−	4866.40i	0.687859	−	0.499759i
$457$	−2909.93	−	779.714i	−0.297857	−	0.0798107i	0.106795	−	0.994281i	$-0.465941\pi$
$457$	−2909.93	−	779.714i	−0.297857	−	0.0798107i	−0.404653	+	0.914470i	$0.632608\pi$
$458$	1283.65	+	1039.48i	0.130963	+	0.106051i
$459$	−4736.68	+	22284.3i	−0.481676	+	2.26611i
$460$	2626.66	+	3349.59i	0.266236	+	0.339512i
$461$	13045.9	+	4238.86i	1.31802	+	0.428251i	0.881815	−	0.471596i	$-0.156322\pi$
$461$	13045.9	+	4238.86i	1.31802	+	0.428251i	0.436206	+	0.899847i	$0.356322\pi$
$462$	1542.02	−	4258.42i	0.155285	−	0.428830i
$463$	−6104.68	+	11981.1i	−0.612762	+	1.20261i	0.351132	+	0.936326i	$0.385797\pi$
$463$	−6104.68	+	11981.1i	−0.612762	+	1.20261i	−0.963894	+	0.266287i	$0.914203\pi$
$464$	2372.35	+	11161.0i	0.237357	+	1.11668i
$465$	15604.8	+	24873.7i	1.55625	+	2.48063i
$466$	2186.05	+	464.660i	0.217311	+	0.0461909i
$467$	6612.11	+	17225.1i	0.655186	+	1.70682i	0.706098	+	0.708114i	$0.250454\pi$
$467$	6612.11	+	17225.1i	0.655186	+	1.70682i	−0.0509118	+	0.998703i	$0.516213\pi$
$468$	10706.0	−	10706.0i	1.05745	−	1.05745i
$469$	−938.012	−	1002.59i	−0.0923526	−	0.0987106i
$470$	−2012.08	−	1510.57i	−0.197469	−	0.148250i
$471$	160.442	−	1526.51i	0.0156960	−	0.149337i
$472$	6062.75	+	2327.27i	0.591230	+	0.226952i
$473$	575.383	−	10979.0i	0.0559326	−	1.06726i
$474$	1768.75	+	3063.57i	0.171396	+	0.296866i
$475$	3074.73	−	8542.82i	0.297007	−	0.825203i
$476$	−7262.93	−	3068.87i	−0.699361	−	0.295507i
$477$	16126.9	+	31650.9i	1.54801	+	3.03814i
$478$	−536.060	+	434.093i	−0.0512946	+	0.0415375i
$479$	9204.60	−	4098.15i	0.878014	−	0.390917i	0.0823130	−	0.996607i	$-0.473769\pi$
$479$	9204.60	−	4098.15i	0.878014	−	0.390917i	0.795701	+	0.605689i	$0.207103\pi$
$480$	10826.8	−	9445.72i	1.02953	−	0.898200i
$481$	−3402.71	+	7642.60i	−0.322557	+	0.724475i
$482$	−2859.74	−	2859.74i	−0.270244	−	0.270244i
$483$	−8158.14	+	4354.95i	−0.768547	+	0.410263i
$484$	1666.38	−	541.439i	0.156497	−	0.0508489i
$485$	2090.14	+	1404.38i	0.195687	+	0.131484i
$486$	5139.42	−	4627.56i	0.479689	−	0.431914i
$487$	2649.29	−	1720.47i	0.246511	−	0.160086i	−0.415470	−	0.909607i	$-0.636383\pi$
$487$	2649.29	−	1720.47i	0.246511	−	0.160086i	0.661981	+	0.749521i	$0.269716\pi$
$488$	−65.4057	−	1248.01i	−0.00606716	−	0.115768i
$489$	12358.0	−	38034.1i	1.14284	−	3.51730i
$490$	86.8206	−	2909.37i	0.00800440	−	0.268228i
$491$	−1224.40	−	3768.31i	−0.112538	−	0.346357i	0.878887	−	0.477029i	$-0.158287\pi$
$491$	−1224.40	−	3768.31i	−0.112538	−	0.346357i	−0.991426	+	0.130672i	$0.958287\pi$
$492$	10310.5	−	3957.84i	0.944784	−	0.362669i
$493$	−3353.19	−	12514.3i	−0.306329	−	1.14323i
$494$	1649.17	−	173.335i	0.150202	−	0.0157868i
$495$	18376.1	+	17074.6i	1.66858	+	1.55040i
$496$	8007.63	−	11021.6i	0.724906	−	0.997747i
$497$	−10663.8	−	10264.1i	−0.962450	−	0.926378i
$498$	2856.38	−	1455.40i	0.257023	−	0.130960i
$499$	14393.6	−	8310.15i	1.29127	−	0.745518i	0.312394	−	0.949953i	$-0.398869\pi$
$499$	14393.6	−	8310.15i	1.29127	−	0.745518i	0.978880	+	0.204435i	$0.0655357\pi$
$500$	2631.44	−	10036.0i	0.235363	−	0.897646i
$501$	−14889.1	+	25788.7i	−1.32774	+	2.29971i
$502$	71.8399	+	46.6534i	0.00638720	+	0.00414790i
$503$	7172.93	−	1136.08i	0.635836	−	0.100706i	0.169809	−	0.985477i	$-0.445685\pi$
$503$	7172.93	−	1136.08i	0.635836	−	0.100706i	0.466027	+	0.884771i	$0.345685\pi$
$504$	7591.91	+	12588.2i	0.670974	+	1.11255i
$505$	−2037.18	+	626.819i	−0.179512	+	0.0552339i
$506$	−1176.68	−	523.890i	−0.103379	−	0.0460272i
$507$	−12153.4	+	3256.49i	−1.06460	+	0.285258i
$508$	−2846.61	+	3515.27i	−0.248618	+	0.307018i
$509$	2970.35	−	3298.90i	0.258661	−	0.287272i	−0.599801	−	0.800149i	$-0.704754\pi$
$509$	2970.35	−	3298.90i	0.258661	−	0.287272i	0.858462	+	0.512877i	$0.171420\pi$
$510$	−3402.45	+	3297.50i	−0.295418	+	0.286306i
$511$	−12772.7	−	2461.02i	−1.10574	−	0.213051i
$512$	−10154.1	−	5173.80i	−0.876473	−	0.446585i
$513$	−28816.4	+	1510.20i	−2.48006	+	0.129975i
$514$	3487.59	+	3873.36i	0.299282	+	0.332386i
$515$	10511.8	+	716.147i	0.899429	+	0.0612761i
$516$	17847.1	+	16069.6i	1.52263	+	1.37098i
$517$	−9690.36	−	1534.80i	−0.824335	−	0.130562i
$518$	−3084.77	−	2401.95i	−0.261655	−	0.203736i
$519$	−797.752	−	1098.01i	−0.0674710	−	0.0928659i
$520$	3863.25	−	758.120i	0.325797	−	0.0639342i
$521$	−249.821	−	561.108i	−0.0210074	−	0.0471834i	0.902737	−	0.430193i	$-0.141554\pi$
$521$	−249.821	−	561.108i	−0.0210074	−	0.0471834i	−0.923744	+	0.383009i	$0.874888\pi$
$522$	−4166.52	+	10854.1i	−0.349355	+	0.910102i
$523$	−1357.38	+	2090.18i	−0.113488	+	0.174755i	−0.890850	−	0.454297i	$-0.849890\pi$
$523$	−1357.38	+	2090.18i	−0.113488	+	0.174755i	0.777363	+	0.629053i	$0.216557\pi$
$524$	−10739.0			−0.895296
$525$	20478.2	+	9419.26i	1.70237	+	0.783029i
$526$	1780.43			0.147587
$527$	−8424.72	+	12972.9i	−0.696369	+	1.07231i
$528$	5831.56	−	15191.7i	0.480655	−	1.25215i
$529$	−3879.04	−	8712.46i	−0.318816	−	0.716073i
$530$	−533.916	+	4413.72i	−0.0437582	+	0.361735i
$531$	−22107.6	−	30428.6i	−1.80676	−	2.48679i
$532$	1373.65	−	9891.80i	0.111946	−	0.806135i
$533$	4539.12	+	718.927i	0.368877	+	0.0584243i
$534$	−700.673	−	630.889i	−0.0567811	−	0.0511259i
$535$	−76.5814	+	48.0442i	−0.00618860	+	0.00388249i
$536$	580.715	+	644.949i	0.0467967	+	0.0519730i
$537$	−5162.54	+	270.557i	−0.414860	+	0.0217419i
$538$	−2053.69	−	1046.41i	−0.164574	−	0.0838545i
$539$	−5009.01	−	10185.0i	−0.400285	−	0.813912i
$540$	−32645.5	+	4647.64i	−2.60155	+	0.370375i
$541$	−198.036	+	219.941i	−0.0157380	+	0.0174788i	−0.750962	−	0.660345i	$-0.770410\pi$
$541$	−198.036	+	219.941i	−0.0157380	+	0.0174788i	0.735224	+	0.677824i	$0.237077\pi$
$542$	−640.608	+	791.084i	−0.0507684	+	0.0626937i
$543$	−16095.3	+	4312.74i	−1.27204	+	0.340842i
$544$	6914.63	+	3078.59i	0.544967	+	0.242635i
$545$	−14035.5	−	19968.7i	−1.10315	−	1.56947i
$546$	78.6059	+	4116.09i	0.00616121	+	0.322624i
$547$	3615.72	−	572.674i	0.282627	−	0.0447637i	−0.0135115	−	0.999909i	$-0.504301\pi$
$547$	3615.72	−	572.674i	0.282627	−	0.0447637i	0.296139	+	0.955145i	$0.404301\pi$
$548$	7775.61	+	5049.54i	0.606127	+	0.393623i
$549$	−3619.02	+	6268.33i	−0.281341	+	0.487297i
$550$	717.178	+	3056.46i	0.0556011	+	0.236960i
$551$	14211.2	−	8204.85i	1.09876	−	0.634371i
$552$	5208.43	−	2653.83i	0.401604	−	0.204628i
$553$	8605.46	+	2130.58i	0.661739	+	0.163837i
$554$	−905.527	+	1246.35i	−0.0694443	+	0.0955819i
$555$	26454.3	−	14725.9i	2.02329	−	1.12627i
$556$	−8195.86	+	861.420i	−0.625147	+	0.0657056i
$557$	6365.56	+	23756.6i	0.484232	+	1.80718i	0.583493	+	0.812118i	$0.301686\pi$
$557$	6365.56	+	23756.6i	0.484232	+	1.80718i	−0.0992601	+	0.995062i	$0.531648\pi$
$558$	12959.3	−	4974.60i	0.983172	−	0.377405i
$559$	3088.16	+	9504.39i	0.233659	+	0.719128i
$560$	511.477	−	10445.4i	0.0385962	−	0.788210i
$561$	−5709.52	+	17572.1i	−0.429690	+	1.32245i
$562$	44.5940	+	850.905i	0.00334713	+	0.0638670i
$563$	5975.96	−	3880.83i	0.447348	−	0.290511i	−0.301238	−	0.953549i	$-0.597400\pi$
$563$	5975.96	−	3880.83i	0.447348	−	0.290511i	0.748586	+	0.663038i	$0.230733\pi$
$564$	15926.9	−	14340.6i	1.18908	−	1.07066i
$565$	−674.216	−	1842.12i	−0.0502026	−	0.137166i
$566$	−5809.74	+	1887.70i	−0.431451	+	0.140187i
$567$	1255.01	−	37713.6i	0.0929546	−	2.79334i
$568$	6615.56	+	6615.56i	0.488702	+	0.488702i
$569$	−1202.80	+	2701.54i	−0.0886189	+	0.199041i	−0.952418	−	0.304795i	$-0.901412\pi$
$569$	−1202.80	+	2701.54i	−0.0886189	+	0.199041i	0.863799	+	0.503837i	$0.168079\pi$
$570$	−5149.69	−	3081.71i	−0.378416	−	0.226454i
$571$	−2429.37	+	1081.62i	−0.178049	+	0.0792724i	−0.493825	−	0.869561i	$-0.664402\pi$
$571$	−2429.37	+	1081.62i	−0.178049	+	0.0792724i	0.315776	+	0.948834i	$0.397735\pi$
$572$	5742.56	−	4650.24i	0.419770	−	0.339923i
$573$	11869.0	+	23294.3i	0.865332	+	1.69831i
$574$	−835.932	+	1978.35i	−0.0607859	+	0.143859i
$575$	3087.76	−	5617.82i	0.223945	−	0.407442i
$576$	10301.4	+	17842.6i	0.745185	+	1.29070i
$577$	336.607	−	6422.85i	0.0242862	−	0.463409i	−0.959234	−	0.282612i	$-0.908799\pi$
$577$	336.607	−	6422.85i	0.0242862	−	0.463409i	0.983521	−	0.180797i	$-0.0578676\pi$
$578$	1151.05	+	441.848i	0.0828331	+	0.0317966i
$579$	−1711.56	+	16284.4i	−0.122850	+	1.16884i
$580$	15341.4	−	10783.2i	1.09831	−	0.771976i
$581$	2336.29	−	7686.77i	0.166825	−	0.548883i
$582$	1176.95	−	1176.95i	0.0838252	−	0.0838252i
$583$	6212.91	+	16185.2i	0.441359	+	1.14978i
$584$	8042.56	+	1709.50i	0.569869	+	0.121129i
$585$	−21156.5	−	8503.73i	−1.49523	−	0.601002i
$586$	420.307	+	1977.39i	0.0296292	+	0.139395i
$587$	999.538	−	1961.70i	0.0702817	−	0.137936i	−0.853192	−	0.521596i	$-0.825337\pi$
$587$	999.538	−	1961.70i	0.0702817	−	0.137936i	0.923474	+	0.383661i	$0.125337\pi$
$588$	24176.1	+	5497.96i	1.69559	+	0.385599i
$589$	−18633.4	−	6054.36i	−1.30353	−	0.423541i
$590$	−172.708	−	4704.20i	−0.0120513	−	0.328252i
$591$	−7994.84	+	37612.8i	−0.556453	+	2.61791i
$592$	−10916.7	−	8840.14i	−0.757892	−	0.613729i
$593$	2554.23	+	684.405i	0.176880	+	0.0473949i	0.346172	−	0.938171i	$-0.387481\pi$
$593$	2554.23	+	684.405i	0.176880	+	0.0473949i	−0.169292	+	0.985566i	$0.554148\pi$
$594$	8072.29	−	5864.86i	0.557593	−	0.405115i
$595$	40.7532	+	11874.2i	0.00280793	+	0.818140i
$596$	−14099.9	−	10244.2i	−0.969052	−	0.704057i
$597$	16789.7	+	20733.6i	1.15102	+	1.42139i
$598$	1169.21	+	61.2757i	0.0799541	+	0.00419022i
$599$	−15701.3	−	9065.16i	−1.07102	−	0.618352i	−0.142557	−	0.989787i	$-0.545533\pi$
$599$	−15701.3	−	9065.16i	−1.07102	−	0.618352i	−0.928459	+	0.371435i	$0.878866\pi$
$600$	−12828.4	−	6200.05i	−0.872860	−	0.421860i
$601$			23451.0i			1.59166i	0.605523	+	0.795828i	$0.292964\pi$
$601$			23451.0i			1.59166i	−0.605523	+	0.795828i	$0.707036\pi$
$602$	−4658.35	+	333.429i	−0.315382	+	0.0225740i
$603$	−786.304	−	4964.53i	−0.0531024	−	0.335276i
$604$	−6174.19	−	648.934i	−0.415934	−	0.0437164i
$605$	−1734.70	−	1988.35i	−0.116571	−	0.133616i
$606$	147.266	+	1401.14i	0.00987175	+	0.0939234i
$607$	−4114.47	+	15355.4i	−0.275125	+	1.02678i	0.680632	+	0.732626i	$0.261705\pi$
$607$	−4114.47	+	15355.4i	−0.275125	+	1.02678i	−0.955757	+	0.294157i	$0.904961\pi$
$608$	−1499.72	+	9468.86i	−0.100036	+	0.631601i
$609$	17277.8	+	36894.1i	1.14964	+	2.45488i
$610$	−813.496	+	398.573i	−0.0539959	+	0.0264553i
$611$	8723.39	−	1854.21i	0.577595	−	0.122772i
$612$	−15721.3	−	24208.7i	−1.03839	−	1.59898i
$613$	2648.25	+	4077.95i	0.174489	+	0.268690i	0.915085	−	0.403261i	$-0.132123\pi$
$613$	2648.25	+	4077.95i	0.174489	+	0.268690i	−0.740596	+	0.671951i	$0.765457\pi$
$614$	−356.332	+	75.7407i	−0.0234208	+	0.00497825i
$615$	−11575.1	−	11943.5i	−0.758950	−	0.783105i
$616$	3042.73	+	6497.28i	0.199018	+	0.424972i
$617$	−205.043	+	1294.59i	−0.0133788	+	0.0844703i	−0.993474	−	0.114056i	$-0.963616\pi$
$617$	−205.043	+	1294.59i	−0.0133788	+	0.0844703i	0.980096	+	0.198527i	$0.0636156\pi$
$618$	1802.50	−	6727.04i	0.117326	−	0.437866i
$619$	−354.557	−	3373.38i	−0.0230224	−	0.219043i	−0.999984	−	0.00562893i	$-0.998208\pi$
$619$	−354.557	−	3373.38i	−0.0230224	−	0.219043i	0.976962	−	0.213414i	$-0.0684584\pi$
$620$	−21824.0	−	4997.32i	−1.41367	−	0.323705i
$621$	−20262.2	−	2129.64i	−1.30933	−	0.137616i
$622$	−968.356	−	6113.96i	−0.0624237	−	0.394128i
$623$	−2356.83	+	168.694i	−0.151564	+	0.0108484i
$624$			14791.6i			0.948942i
$625$	−15457.0	+	2285.34i	−0.989246	+	0.146262i
$626$	2831.25	+	1634.62i	0.180766	+	0.104365i
$627$	−23370.1	−	1224.78i	−1.48854	−	0.0780109i
$628$	736.513	+	909.518i	0.0467995	+	0.0577925i
$629$	12903.5	+	9374.92i	0.817957	+	0.594281i
$630$	6233.73	−	8642.21i	0.394218	−	0.546530i
$631$	−9383.63	+	6817.60i	−0.592007	+	0.430118i	−0.843033	−	0.537862i	$-0.819232\pi$
$631$	−9383.63	+	6817.60i	−0.592007	+	0.430118i	0.251026	+	0.967980i	$0.419232\pi$
$632$	−5412.86	−	1450.37i	−0.340684	−	0.0912859i
$633$	37979.1	+	30754.9i	2.38473	+	1.93112i
$634$	1438.31	−	6766.72i	0.0900988	−	0.423882i
$635$	6551.52	+	1865.93i	0.409432	+	0.116610i
$636$	−36017.2	−	11702.7i	−2.24556	−	0.729626i
$637$	7568.55	+	7011.47i	0.470764	+	0.436114i
$638$	−2576.04	+	5055.76i	−0.159853	+	0.313729i
$639$	−11265.9	−	53001.9i	−0.697453	−	3.28126i
$640$	−977.682	+	14350.7i	−0.0603848	+	0.886346i
$641$	17049.3	+	3623.95i	1.05056	+	0.223303i	0.700669	−	0.713487i	$-0.252885\pi$
$641$	17049.3	+	3623.95i	1.05056	+	0.223303i	0.349891	+	0.936790i	$0.386219\pi$
$642$	21.4149	+	55.7877i	0.00131648	+	0.00342954i
$643$	−13969.1	+	13969.1i	−0.856746	+	0.856746i	−0.990953	−	0.134207i	$-0.957151\pi$
$643$	−13969.1	+	13969.1i	−0.856746	+	0.856746i	0.134207	+	0.990953i	$0.457151\pi$
$644$	2050.48	−	6746.42i	0.125467	−	0.412805i
$645$	11713.7	−	34217.9i	0.715078	−	2.08888i
$646$	330.463	−	3144.15i	0.0201268	−	0.191494i
$647$	12299.7	+	4721.40i	0.747372	+	0.286889i	0.702093	−	0.712085i	$-0.252249\pi$
$647$	12299.7	+	4721.40i	0.747372	+	0.286889i	0.0452790	+	0.998974i	$0.485582\pi$
$648$	−1248.33	+	23819.5i	−0.0756774	+	1.44401i
$649$	−9178.15	−	15897.0i	−0.555122	−	0.961499i
$650$	−1604.27	−	2360.15i	−0.0968070	−	0.142419i
$651$	18931.9	−	44805.1i	1.13978	−	2.69747i
$652$	13843.2	+	27168.9i	0.831507	+	1.63192i
$653$	16609.1	−	13449.8i	0.995352	−	0.806020i	0.0143260	−	0.999897i	$-0.495440\pi$
$653$	16609.1	−	13449.8i	0.995352	−	0.806020i	0.981026	+	0.193877i	$0.0621064\pi$
$654$	−14738.6	+	6562.05i	−0.881231	+	0.392349i
$655$	6345.86	+	14875.8i	0.378555	+	0.887398i
$656$	−3138.64	+	7049.50i	−0.186804	+	0.419568i
$657$	−33672.9	−	33672.9i	−1.99955	−	1.99955i
$658$	−138.616	+	4165.48i	−0.00821246	+	0.246789i
$659$	−7017.47	+	2280.12i	−0.414813	+	0.134781i	−0.508986	−	0.860775i	$-0.669979\pi$
$659$	−7017.47	+	2280.12i	−0.414813	+	0.134781i	0.0941726	+	0.995556i	$0.469979\pi$
$660$	−26724.5	+	981.150i	−1.57613	+	0.0578655i
$661$	−12211.4	+	10995.2i	−0.718560	+	0.646995i	−0.945015	−	0.327027i	$-0.893953\pi$
$661$	−12211.4	+	10995.2i	−0.718560	+	0.646995i	0.226455	+	0.974022i	$0.427287\pi$
$662$	−4832.12	+	3138.02i	−0.283694	+	0.184233i
$663$	−878.978	−	16771.9i	−0.0514882	−	0.982454i
$664$	−1569.29	+	4829.77i	−0.0917171	+	0.282276i
$665$	−14514.0	+	3942.45i	−0.846358	+	0.229897i
$666$	−4422.97	−	13612.5i	−0.257337	−	0.792002i
$667$	10816.6	−	4152.09i	0.627915	−	0.241034i
$668$	−5876.52	−	21931.5i	−0.340373	−	1.27029i
$669$	−988.252	+	103.870i	−0.0571122	+	0.00600273i
$670$	264.843	−	570.623i	0.0152713	−	0.0329031i
$671$	−2076.35	+	2857.86i	−0.119459	+	0.164421i
$672$	−23103.2	−	5720.01i	−1.32623	−	0.328355i
$673$	1851.35	−	943.310i	0.106039	−	0.0540296i	−0.400167	−	0.916442i	$-0.631048\pi$
$673$	1851.35	−	943.310i	0.106039	−	0.0540296i	0.506206	+	0.862413i	$0.331048\pi$
$674$	4840.52	−	2794.68i	0.276632	−	0.159714i
$675$	25728.8	+	42474.6i	1.46711	+	2.42200i
$676$	4796.76	−	8308.23i	0.272915	−	0.472703i
$677$	−16025.1	−	10406.8i	−0.909743	−	0.590794i	0.00270095	−	0.999996i	$-0.499140\pi$
$677$	−16025.1	−	10406.8i	−0.909743	−	0.590794i	−0.912444	+	0.409203i	$0.865807\pi$
$678$	−1280.66	+	202.836i	−0.0725419	+	0.0114895i
$679$	−79.6454	−	4170.52i	−0.00450149	−	0.235714i
$680$	117.557	−	7504.86i	0.00662956	−	0.423233i
$681$	37154.7	+	16542.3i	2.09070	+	0.930841i
$682$	6543.87	−	1753.42i	0.367416	−	0.0984488i
$683$	3256.61	−	4021.57i	0.182446	−	0.225302i	−0.677715	−	0.735325i	$-0.737030\pi$
$683$	3256.61	−	4021.57i	0.182446	−	0.225302i	0.860161	+	0.510023i	$0.170363\pi$
$684$	24464.1	−	27170.2i	1.36756	−	1.51883i
$685$	2399.95	−	13754.7i	0.133865	−	0.767214i
$686$	−4030.68	+	2645.87i	−0.224333	+	0.147259i
$687$	18879.5	+	9619.58i	1.04847	+	0.534221i
$688$	−16757.1	+	878.202i	−0.928572	+	0.0486644i
$689$	−10544.8	−	11711.2i	−0.583054	−	0.647548i
$690$	−3250.81	−	2717.85i	−0.179357	−	0.149952i
$691$	−18702.6	−	16839.9i	−1.02964	−	0.927093i	−0.0322642	−	0.999479i	$-0.510272\pi$
$691$	−18702.6	−	16839.9i	−1.02964	−	0.927093i	−0.997377	+	0.0723866i	$0.976938\pi$
$692$	1022.10	+	161.885i	0.0561480	+	0.00889297i
$693$	5715.41	−	41157.4i	0.313290	−	2.25604i
$694$	−2523.04	−	3472.67i	−0.138002	−	0.189943i
$695$	6036.33	+	10844.0i	0.329455	+	0.591851i
$696$	−10474.1	−	23525.3i	−0.570432	−	1.28121i
$697$	3139.92	−	8179.78i	0.170636	−	0.444521i
$698$	−3919.35	+	6035.27i	−0.212535	+	0.327276i
$699$	28669.7			1.55134
$700$	−16119.2	+	5962.43i	−0.870356	+	0.321941i
$701$	−18557.3			−0.999858			−0.499929	−	0.866066i	$-0.666641\pi$
$701$	−18557.3			−0.999858			−0.499929	+	0.866066i	$0.666641\pi$
$702$	−4939.79	+	7606.61i	−0.265585	+	0.408965i
$703$	−7239.65	+	18859.9i	−0.388405	+	1.01183i
$704$	4089.80	+	9185.85i	0.218949	+	0.491768i
$705$	−29276.3	−	13588.0i	−1.56399	−	0.725893i
$706$	2132.86	+	2935.63i	0.113699	+	0.156493i
$707$	2785.81	+	2169.16i	0.148191	+	0.115389i
$708$	39604.3	+	6272.71i	2.10229	+	0.332970i
$709$	16102.4	+	14498.7i	0.852945	+	0.767995i	0.974452	−	0.224595i	$-0.0721060\pi$
$709$	16102.4	+	14498.7i	0.852945	+	0.767995i	−0.121507	+	0.992591i	$0.538773\pi$
$710$	2529.23	−	6292.47i	0.133690	−	0.332608i
$711$	21717.0	+	24119.2i	1.14550	+	1.27221i
$712$	1491.53	−	78.1678i	0.0785077	−	0.00411441i
$713$	−12325.5	−	6280.15i	−0.647396	−	0.329865i
$714$	7707.02	+	1484.97i	0.403961	+	0.0778341i
$715$	−9834.96	−	5206.78i	−0.514415	−	0.272339i
$716$	2637.51	−	2929.25i	0.137665	−	0.152893i
$717$	−5568.64	+	6876.70i	−0.290048	+	0.358180i
$718$	−7604.79	+	2037.70i	−0.395276	+	0.105914i
$719$	31650.4	+	14091.7i	1.64167	+	0.730918i	0.999368	−	0.0355337i	$-0.0113131\pi$
$719$	31650.4	+	14091.7i	1.64167	+	0.730918i	0.642301	+	0.766452i	$0.277980\pi$
$720$	22986.3	−	30617.8i	1.18979	−	1.58480i
$721$	−9013.62	−	14945.5i	−0.465582	−	0.771985i
$722$	−1186.88	+	187.984i	−0.0611789	+	0.00968979i
$723$	−43511.1	−	28256.4i	−2.23817	−	1.45348i
$724$	6352.59	−	11003.0i	0.326094	−	0.564811i
$725$	−24002.5	−	14879.2i	−1.22956	−	0.762205i
$726$	−1510.49	+	872.079i	−0.0772168	+	0.0445811i
$727$	−127.254	+	64.8391i	−0.00649187	+	0.00330777i	−0.457233	−	0.889347i	$-0.651160\pi$
$727$	−127.254	+	64.8391i	−0.00649187	+	0.00330777i	0.450742	+	0.892654i	$0.351160\pi$
$728$	−4698.63	−	4522.53i	−0.239207	−	0.230242i
$729$	19811.5	−	27268.2i	1.00653	−	1.38537i
$730$	−1147.71	−	5848.51i	−0.0581897	−	0.296525i
$731$	18948.3	−	1991.55i	0.958725	−	0.100766i
$732$	−1997.18	−	7453.56i	−0.100844	−	0.376355i
$733$	−24912.7	+	9563.10i	−1.25535	+	0.481884i	−0.892957	−	0.450141i	$-0.851374\pi$
$733$	−24912.7	+	9563.10i	−1.25535	+	0.481884i	−0.362394	+	0.932025i	$0.618040\pi$
$734$	184.235	+	567.017i	0.00926463	+	0.0285136i
$735$	−6670.26	−	36738.0i	−0.334743	−	1.84367i
$736$	−2091.69	+	6437.56i	−0.104756	+	0.322407i
$737$	−128.387	−	2449.76i	−0.00641679	−	0.122440i
$738$	−6594.23	+	4282.34i	−0.328912	+	0.213598i
$739$	12557.6	−	11306.9i	0.625088	−	0.562831i	−0.294532	−	0.955642i	$-0.595164\pi$
$739$	12557.6	−	11306.9i	0.625088	−	0.562831i	0.919620	+	0.392810i	$0.128497\pi$
$740$	−6323.40	+	22202.3i	−0.314125	+	1.10293i
$741$	20231.3	−	6573.55i	1.00299	−	0.325891i
$742$	6496.90	−	3468.16i	0.321440	−	0.171590i
$743$	−12768.6	−	12768.6i	−0.630464	−	0.630464i	0.317721	−	0.948184i	$-0.397083\pi$
$743$	−12768.6	−	12768.6i	−0.630464	−	0.630464i	−0.948184	+	0.317721i	$0.897083\pi$
$744$	−12505.6	+	28087.9i	−0.616231	+	1.38408i
$745$	−5858.50	+	25584.9i	−0.288106	+	1.25820i
$746$	2025.87	−	901.977i	0.0994269	−	0.0442677i
$747$	22857.5	−	18509.6i	1.11956	−	0.906603i
$748$	−6395.70	−	12552.3i	−0.312634	−	0.613578i
$749$	137.946	+	58.2876i	0.00672957	+	0.00284350i
$750$	−485.119	+	10316.6i	−0.0236187	+	0.502279i
$751$	7212.31	+	12492.1i	0.350441	+	0.606981i	0.986327	−	0.164802i	$-0.0526985\pi$
$751$	7212.31	+	12492.1i	0.350441	+	0.606981i	−0.635886	+	0.771783i	$0.719365\pi$
$752$	−783.713	+	14954.1i	−0.0380041	+	0.725162i
$753$	1025.87	+	393.795i	0.0496478	+	0.0190580i
$754$	539.139	−	5129.57i	0.0260402	−	0.247756i
$755$	2749.53	+	8936.05i	0.132537	+	0.430750i
$756$	37318.0	+	39887.2i	1.79530	+	1.91889i
$757$	9550.09	−	9550.09i	0.458526	−	0.458526i	−0.439646	−	0.898171i	$-0.644896\pi$
$757$	9550.09	−	9550.09i	0.458526	−	0.458526i	0.898171	+	0.439646i	$0.144896\pi$
$758$	−2808.65	−	7316.78i	−0.134584	−	0.350604i
$759$	−16162.1	−	3435.36i	−0.772921	−	0.164290i
$760$	9220.29	−	2316.42i	0.440072	−	0.110560i
$761$	983.725	+	4628.06i	0.0468594	+	0.220456i	0.995347	−	0.0963593i	$-0.0307198\pi$
$761$	983.725	+	4628.06i	0.0468594	+	0.220456i	−0.948487	+	0.316815i	$0.897386\pi$
$762$	2044.19	−	4011.95i	0.0971828	−	0.190732i
$763$	−13766.1	+	38016.0i	−0.653165	+	1.80376i
$764$	−18958.3	−	6159.91i	−0.897756	−	0.291699i
$765$	−24244.2	+	36082.7i	−1.14582	+	1.70533i
$766$	−262.563	+	1235.26i	−0.0123848	+	0.0582661i
$767$	12967.3	+	10500.7i	0.610458	+	0.494339i
$768$

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+(0.413382 - 0.636552i) q^{2} +(3.48930 - 9.08993i) q^{3} +(3.01958 + 6.78209i) q^{4} +(7.61032 - 8.19042i) q^{5} +(-4.34381 - 5.97873i) q^{6} +(-18.3442 - 2.54741i) q^{7} +(11.5626 + 1.83134i) q^{8} +(-50.3868 - 45.3685i) q^{9} +(-2.06766 - 8.23014i) q^{10} +(-22.1419 - 24.5911i) q^{11} +(72.1849 - 3.78305i) q^{12} +(26.8007 + 13.6556i) q^{13} +(-9.20473 + 10.6240i) q^{14} +(-47.8957 - 97.7562i) q^{15} +(-33.7950 + 37.5332i) q^{16} +(36.0890 - 44.5662i) q^{17} +(-49.7084 + 13.3193i) q^{18} +(66.3549 + 29.5431i) q^{19} +(78.5281 + 26.8822i) q^{20} +(-87.1643 + 157.859i) q^{21} +(-24.8066 + 3.92898i) q^{22} +(43.0102 + 27.9311i) q^{23} +(56.9923 - 98.7136i) q^{24} +(-9.16603 - 124.663i) q^{25} +(19.7715 - 11.4151i) q^{26} +(-353.975 + 180.359i) q^{27} +(-38.1151 - 132.104i) q^{28} +(132.793 - 182.775i) q^{29} +(-82.0261 - 9.92249i) q^{30} +(-268.261 + 28.1954i) q^{31} +(34.1611 + 127.491i) q^{32} +(-300.791 + 115.463i) q^{33} +(-13.4502 - 41.3954i) q^{34} +(-160.470 + 130.860i) q^{35} +(155.546 - 478.721i) q^{36} +(14.5561 + 277.747i) q^{37} +(46.2356 - 30.0258i) q^{38} +(217.645 - 195.968i) q^{39} +(102.995 - 80.7658i) q^{40} +(145.309 - 47.2138i) q^{41} +(64.4535 + 120.741i) q^{42} +(234.929 + 234.929i) q^{43} +(99.9197 - 224.423i) q^{44} +(-755.047 + 67.4205i) q^{45} +(35.5593 - 15.8320i) q^{46} +(230.419 - 186.589i) q^{47} +(223.253 + 438.159i) q^{48} +(330.021 + 93.4606i) q^{49} +(-83.1439 - 45.6990i) q^{50} +(-279.179 - 483.552i) q^{51} +(-11.6869 + 222.999i) q^{52} +(-489.118 - 187.755i) q^{53} +(-31.5188 + 299.881i) q^{54} +(-369.919 - 5.79445i) q^{55} +(-207.443 - 63.0494i) q^{56} +(500.077 - 500.077i) q^{57} +(-61.4511 - 160.086i) q^{58} +(542.606 + 115.335i) q^{59} +(518.366 - 620.015i) q^{60} +(-22.1951 - 104.420i) q^{61} +(-92.9464 + 182.418i) q^{62} +(808.735 + 960.606i) q^{63} +(-288.995 - 93.9003i) q^{64} +(315.808 - 115.585i) q^{65} +(-50.8435 + 239.200i) q^{66} +(57.6126 + 46.6537i) q^{67} +(411.226 + 110.188i) q^{68} +(403.968 - 293.500i) q^{69} +(16.9641 + 156.243i) q^{70} +(646.549 + 469.746i) q^{71} +(-499.519 - 616.855i) q^{72} +(701.386 + 36.7581i) q^{73} +(182.818 + 105.550i) q^{74} +(-1165.17 - 351.670i) q^{75} +539.232i q^{76} +(343.533 + 507.510i) q^{77} +(-34.7736 - 219.552i) q^{78} +(-476.058 - 50.0358i) q^{79} +(50.2216 + 562.435i) q^{80} +(212.974 + 2026.31i) q^{81} +(30.0141 - 112.014i) q^{82} +(-67.8602 + 428.453i) q^{83} +(-1333.81 - 114.488i) q^{84} +(-90.3672 - 634.748i) q^{85} +(246.660 - 52.4293i) q^{86} +(-1198.05 - 1844.84i) q^{87} +(-210.985 - 324.888i) q^{88} +(124.794 - 26.5259i) q^{89} +(-269.206 + 508.497i) q^{90} +(-456.852 - 318.775i) q^{91} +(-59.5587 + 376.039i) q^{92} +(-679.749 + 2536.86i) q^{93} +(-23.5230 - 223.806i) q^{94} +(746.952 - 318.642i) q^{95} +(1278.08 + 134.332i) q^{96} +(35.2334 + 222.455i) q^{97} +(195.917 - 171.441i) q^{98} +2243.61i 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

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