LMFDB - Embedded newform 175.4.x.a.3.47

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			3.47
Character	$\chi$	$=$	175.3
Dual form			175.4.x.a.117.47

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(1.99423 - 3.07084i) q^{2} +(2.03228 - 5.29426i) q^{3} +(-2.19922 - 4.93952i) q^{4} +(-10.9441 + 2.28640i) q^{5} +(-12.2050 - 16.7988i) q^{6} +(-17.5585 - 5.89045i) q^{7} +(9.37758 + 1.48526i) q^{8} +(-3.83417 - 3.45230i) q^{9} +(-14.8038 + 38.1670i) q^{10} +(-30.8098 - 34.2178i) q^{11} +(-30.6206 + 1.60476i) q^{12} +(-34.9937 - 17.8302i) q^{13} +(-53.1043 + 42.1726i) q^{14} +(-10.1366 + 62.5873i) q^{15} +(52.2058 - 57.9805i) q^{16} +(-35.0386 + 43.2690i) q^{17} +(-18.2476 + 4.88944i) q^{18} +(-26.8797 - 11.9676i) q^{19} +(35.3621 + 49.0301i) q^{20} +(-66.8694 + 80.9886i) q^{21} +(-166.519 + 26.3740i) q^{22} +(16.8829 + 10.9639i) q^{23} +(26.9212 - 46.6289i) q^{24} +(114.545 - 50.0450i) q^{25} +(-124.539 + 71.9027i) q^{26} +(110.357 - 56.2297i) q^{27} +(9.51908 + 99.6853i) q^{28} +(159.008 - 218.856i) q^{29} +(171.981 + 155.941i) q^{30} +(122.378 - 12.8624i) q^{31} +(-54.2796 - 202.574i) q^{32} +(-243.772 + 93.5754i) q^{33} +(62.9974 + 193.886i) q^{34} +(205.630 + 24.3195i) q^{35} +(-8.62054 + 26.5313i) q^{36} +(0.767048 + 14.6361i) q^{37} +(-90.3549 + 58.6771i) q^{38} +(-165.515 + 149.030i) q^{39} +(-106.025 + 5.18611i) q^{40} +(-8.43713 + 2.74139i) q^{41} +(115.350 + 366.855i) q^{42} +(-140.993 - 140.993i) q^{43} +(-101.262 + 227.438i) q^{44} +(49.8547 + 29.0157i) q^{45} +(67.3365 - 29.9801i) q^{46} +(23.9845 - 19.4223i) q^{47} +(-200.867 - 394.224i) q^{48} +(273.605 + 206.855i) q^{49} +(74.7480 - 451.549i) q^{50} +(157.870 + 273.438i) q^{51} +(-11.1139 + 212.065i) q^{52} +(-452.467 - 173.686i) q^{53} +(47.4044 - 451.023i) q^{54} +(415.420 + 304.038i) q^{55} +(-155.908 - 81.3172i) q^{56} +(-117.987 + 117.987i) q^{57} +(-354.973 - 924.736i) q^{58} +(-265.022 - 56.3321i) q^{59} +(331.444 - 87.5734i) q^{60} +(-57.1874 - 269.045i) q^{61} +(204.550 - 401.453i) q^{62} +(46.9868 + 83.2023i) q^{63} +(-136.704 - 44.4177i) q^{64} +(423.741 + 115.125i) q^{65} +(-198.782 + 935.195i) q^{66} +(-276.485 - 223.893i) q^{67} +(290.786 + 77.9158i) q^{68} +(92.3563 - 67.1008i) q^{69} +(484.753 - 582.957i) q^{70} +(562.908 + 408.976i) q^{71} +(-30.8276 - 38.0690i) q^{72} +(-868.150 - 45.4978i) q^{73} +(46.4749 + 26.8323i) q^{74} +(-32.1647 - 708.135i) q^{75} +159.092i q^{76} +(339.418 + 782.298i) q^{77} +(127.574 + 805.469i) q^{78} +(1222.74 + 128.515i) q^{79} +(-438.777 + 753.905i) q^{80} +(-87.9799 - 837.073i) q^{81} +(-8.40718 + 31.3760i) q^{82} +(110.810 - 699.629i) q^{83} +(547.105 + 152.192i) q^{84} +(284.534 - 553.651i) q^{85} +(-714.141 + 151.795i) q^{86} +(-835.532 - 1286.61i) q^{87} +(-238.099 - 366.641i) q^{88} +(-538.578 + 114.478i) q^{89} +(188.524 - 95.2317i) q^{90} +(509.412 + 519.201i) q^{91} +(17.0272 - 107.505i) q^{92} +(180.608 - 674.040i) q^{93} +(-11.8121 - 112.385i) q^{94} +(321.536 + 69.5165i) q^{95} +(-1182.79 - 124.316i) q^{96} +(193.365 + 1220.86i) q^{97} +(1180.85 - 427.681i) q^{98} +237.561i 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 $

$2$	1.99423	−	3.07084i	0.705065	−	1.08571i	−0.286748	−	0.958006i	$-0.592574\pi$
$2$	1.99423	−	3.07084i	0.705065	−	1.08571i	0.991813	−	0.127699i	$-0.0407592\pi$
$3$	2.03228	−	5.29426i	0.391112	−	1.01888i	−0.586775	−	0.809750i	$-0.699603\pi$
$3$	2.03228	−	5.29426i	0.391112	−	1.01888i	0.977887	−	0.209132i	$-0.0670638\pi$
$4$	−2.19922	−	4.93952i	−0.274902	−	0.617441i
$5$	−10.9441	+	2.28640i	−0.978866	+	0.204502i
$5$	−10.9441	+	2.28640i	−0.978866	+	0.204502i
$6$	−12.2050	−	16.7988i	−0.830446	−	1.14301i
$7$	−17.5585	−	5.89045i	−0.948073	−	0.318054i
$7$	−17.5585	−	5.89045i	−0.948073	−	0.318054i
$8$	9.37758	+	1.48526i	0.414435	+	0.0656400i
$9$	−3.83417	−	3.45230i	−0.142006	−	0.127863i
$10$	−14.8038	+	38.1670i	−0.468136	+	1.20695i
$11$	−30.8098	−	34.2178i	−0.844501	−	0.937914i	0.154242	−	0.988033i	$-0.450707\pi$
$11$	−30.8098	−	34.2178i	−0.844501	−	0.937914i	−0.998743	+	0.0501193i	$0.984040\pi$
$12$	−30.6206	+	1.60476i	−0.736616	+	0.0386044i
$13$	−34.9937	−	17.8302i	−0.746578	−	0.380401i	0.0389379	−	0.999242i	$-0.487603\pi$
$13$	−34.9937	−	17.8302i	−0.746578	−	0.380401i	−0.785516	+	0.618841i	$0.787603\pi$
$14$	−53.1043	+	42.1726i	−1.01377	+	0.805078i
$15$	−10.1366	+	62.5873i	−0.174483	+	1.07733i
$16$	52.2058	−	57.9805i	0.815716	−	0.905945i
$17$	−35.0386	+	43.2690i	−0.499888	+	0.617311i	−0.963168	−	0.268902i	$-0.913339\pi$
$17$	−35.0386	+	43.2690i	−0.499888	+	0.617311i	0.463279	+	0.886212i	$0.346673\pi$
$18$	−18.2476	+	4.88944i	−0.238945	+	0.0640251i
$19$	−26.8797	−	11.9676i	−0.324560	−	0.144503i	0.237988	−	0.971268i	$-0.423512\pi$
$19$	−26.8797	−	11.9676i	−0.324560	−	0.144503i	−0.562548	+	0.826765i	$0.690179\pi$
$20$	35.3621	+	49.0301i	0.395360	+	0.548174i
$21$	−66.8694	+	80.9886i	−0.694862	+	0.841579i
$22$	−166.519	+	26.3740i	−1.61373	+	0.255589i
$23$	16.8829	+	10.9639i	0.153057	+	0.0993967i	0.618896	−	0.785473i	$-0.287580\pi$
$23$	16.8829	+	10.9639i	0.153057	+	0.0993967i	−0.465838	+	0.884870i	$0.654247\pi$
$24$	26.9212	−	46.6289i	0.228970	−	0.396587i
$25$	114.545	−	50.0450i	0.916358	−	0.400360i
$26$	−124.539	+	71.9027i	−0.939389	+	0.542357i
$27$	110.357	−	56.2297i	0.786600	−	0.400793i
$28$	9.51908	+	99.6853i	0.0642478	+	0.672812i
$29$	159.008	−	218.856i	1.01817	−	1.40140i	0.104699	−	0.994504i	$-0.466612\pi$
$29$	159.008	−	218.856i	1.01817	−	1.40140i	0.913476	−	0.406893i	$-0.133388\pi$
$30$	171.981	+	155.941i	1.04664	+	0.949026i
$31$	122.378	−	12.8624i	0.709022	−	0.0745212i	0.256849	−	0.966452i	$-0.417316\pi$
$31$	122.378	−	12.8624i	0.709022	−	0.0745212i	0.452173	+	0.891930i	$0.350649\pi$
$32$	−54.2796	−	202.574i	−0.299855	−	1.11907i
$33$	−243.772	+	93.5754i	−1.28592	+	0.493618i
$34$	62.9974	+	193.886i	0.317764	+	0.977976i
$35$	205.630	+	24.3195i	0.993079	+	0.117450i
$36$	−8.62054	+	26.5313i	−0.0399099	+	0.122830i
$37$	0.767048	+	14.6361i	0.00340816	+	0.0650316i	0.999804	−	0.0197924i	$-0.00630054\pi$
$37$	0.767048	+	14.6361i	0.00340816	+	0.0650316i	−0.996396	+	0.0848240i	$0.972967\pi$
$38$	−90.3549	+	58.6771i	−0.385724	+	0.250492i
$39$	−165.515	+	149.030i	−0.679579	+	0.611896i
$40$	−106.025	+	5.18611i	−0.419099	+	0.0204999i
$41$	−8.43713	+	2.74139i	−0.0321380	+	0.0104423i	−0.325042	−	0.945700i	$-0.605378\pi$
$41$	−8.43713	+	2.74139i	−0.0321380	+	0.0104423i	0.292904	+	0.956142i	$0.405378\pi$
$42$	115.350	+	366.855i	0.423783	+	1.34778i
$43$	−140.993	−	140.993i	−0.500030	−	0.500030i	0.411417	−	0.911447i	$-0.365034\pi$
$43$	−140.993	−	140.993i	−0.500030	−	0.500030i	−0.911447	+	0.411417i	$0.865034\pi$
$44$	−101.262	+	227.438i	−0.346951	+	0.779264i
$45$	49.8547	+	29.0157i	0.165153	+	0.0961201i
$46$	67.3365	−	29.9801i	0.215831	−	0.0960942i
$47$	23.9845	−	19.4223i	0.0744361	−	0.0602772i	−0.591380	−	0.806393i	$-0.701417\pi$
$47$	23.9845	−	19.4223i	0.0744361	−	0.0602772i	0.665816	+	0.746116i	$0.268083\pi$
$48$	−200.867	−	394.224i	−0.604014	−	1.18544i
$49$	273.605	+	206.855i	0.797683	+	0.603077i
$50$	74.7480	−	451.549i	0.211419	−	1.27717i
$51$	157.870	+	273.438i	0.433454	+	0.750765i
$52$	−11.1139	+	212.065i	−0.0296387	+	0.565541i
$53$	−452.467	−	173.686i	−1.17266	−	0.450143i	−0.307458	−	0.951562i	$-0.599478\pi$
$53$	−452.467	−	173.686i	−1.17266	−	0.450143i	−0.865205	+	0.501419i	$0.832812\pi$
$54$	47.4044	−	451.023i	0.119462	−	1.13660i
$55$	415.420	+	304.038i	1.01846	+	0.745390i
$56$	−155.908	−	81.3172i	−0.372037	−	0.194044i
$57$	−117.987	+	117.987i	−0.274171	+	0.274171i
$58$	−354.973	−	924.736i	−0.803625	−	2.09351i
$59$	−265.022	−	56.3321i	−0.584795	−	0.124302i	−0.0939924	−	0.995573i	$-0.529963\pi$
$59$	−265.022	−	56.3321i	−0.584795	−	0.124302i	−0.490802	+	0.871271i	$0.663296\pi$
$60$	331.444	−	87.5734i	0.713154	−	0.188428i
$61$	−57.1874	−	269.045i	−0.120034	−	0.564717i	−0.996525	−	0.0832976i	$-0.973455\pi$
$61$	−57.1874	−	269.045i	−0.120034	−	0.564717i	0.876490	−	0.481419i	$-0.159879\pi$
$62$	204.550	−	401.453i	0.418999	−	0.822331i
$63$	46.9868	+	83.2023i	0.0939648	+	0.166389i
$64$	−136.704	−	44.4177i	−0.266999	−	0.0867533i
$65$	423.741	+	115.125i	0.808593	+	0.219685i
$66$	−198.782	+	935.195i	−0.370733	+	1.74416i
$67$	−276.485	−	223.893i	−0.504149	−	0.408252i	0.343221	−	0.939255i	$-0.388482\pi$
$67$	−276.485	−	223.893i	−0.504149	−	0.408252i	−0.847370	+	0.531003i	$0.821815\pi$
$68$	290.786	+	77.9158i	0.518573	+	0.138951i
$69$	92.3563	−	67.1008i	0.161136	−	0.117072i
$70$	484.753	−	582.957i	0.827701	−	0.995381i
$71$	562.908	+	408.976i	0.940913	+	0.683613i	0.948640	−	0.316357i	$-0.102460\pi$
$71$	562.908	+	408.976i	0.940913	+	0.683613i	−0.00772718	+	0.999970i	$0.502460\pi$
$72$	−30.8276	−	38.0690i	−0.0504593	−	0.0623121i
$73$	−868.150	−	45.4978i	−1.39191	−	0.0729468i	−0.658420	−	0.752650i	$-0.728775\pi$
$73$	−868.150	−	45.4978i	−1.39191	−	0.0729468i	−0.733487	+	0.679704i	$0.762108\pi$
$74$	46.4749	+	26.8323i	0.0730081	+	0.0421512i
$75$	−32.1647	−	708.135i	−0.0495208	−	1.09025i
$76$			159.092i			0.240121i
$77$	339.418	+	782.298i	0.502341	+	1.15781i
$78$	127.574	+	805.469i	0.185191	+	1.16925i
$79$	1222.74	+	128.515i	1.74137	+	0.183026i	0.921200	−	0.389089i	$-0.127210\pi$
$79$	1222.74	+	128.515i	1.74137	+	0.183026i	0.820174	+	0.572115i	$0.193877\pi$
$80$	−438.777	+	753.905i	−0.613210	+	1.05361i
$81$	−87.9799	−	837.073i	−0.120686	−	1.14825i
$82$	−8.40718	+	31.3760i	−0.0113222	+	0.0422549i
$83$	110.810	−	699.629i	0.146542	−	0.925232i	−0.799377	−	0.600830i	$-0.794837\pi$
$83$	110.810	−	699.629i	0.146542	−	0.925232i	0.945919	−	0.324402i	$-0.105163\pi$
$84$	547.105	+	152.192i	0.710644	+	0.197684i
$85$	284.534	−	553.651i	0.363083	−	0.706493i
$86$	−714.141	+	151.795i	−0.895440	+	0.190332i
$87$	−835.532	−	1286.61i	−1.02964	−	1.58550i
$88$	−238.099	−	366.641i	−0.288426	−	0.444137i
$89$	−538.578	+	114.478i	−0.641451	+	0.136345i	−0.517143	−	0.855899i	$-0.673004\pi$
$89$	−538.578	+	114.478i	−0.641451	+	0.136345i	−0.124308	+	0.992244i	$0.539671\pi$
$90$	188.524	−	95.2317i	0.220802	−	0.111537i
$91$	509.412	+	519.201i	0.586822	+	0.598100i
$92$	17.0272	−	107.505i	0.0192957	−	0.121828i
$93$	180.608	−	674.040i	0.201379	−	0.751555i
$94$	−11.8121	−	112.385i	−0.0129609	−	0.123315i
$95$	321.536	+	69.5165i	0.347252	+	0.0750763i
$96$	−1182.79	−	124.316i	−1.25748	−	0.132167i
$97$	193.365	+	1220.86i	0.202405	+	1.27793i	0.854362	+	0.519678i	$0.173948\pi$
$97$	193.365	+	1220.86i	0.202405	+	1.27793i	−0.651958	+	0.758255i	$0.726052\pi$
$98$	1180.85	−	427.681i	1.21718	−	0.440840i
$99$			237.561i			0.241170i
$100$	−499.107	−	455.737i	−0.499107	−	0.455737i
$101$	409.809	+	236.603i	0.403738	+	0.233098i	0.688096	−	0.725620i	$-0.258447\pi$
$101$	409.809	+	236.603i	0.403738	+	0.233098i	−0.284358	+	0.958718i	$0.591780\pi$
$102$	1154.51	+	60.5054i	1.12072	+	0.0587346i
$103$	−41.0724	−	50.7201i	−0.0392911	−	0.0485204i	0.757122	−	0.653274i	$-0.226605\pi$
$103$	−41.0724	−	50.7201i	−0.0392911	−	0.0485204i	−0.796413	+	0.604753i	$0.793272\pi$
$104$	−301.674	−	219.179i	−0.284438	−	0.206657i
$105$	546.650	−	1039.23i	0.508072	−	0.965894i
$106$	−1435.68	+	1043.08i	−1.31553	+	0.955785i
$107$	1274.55	+	341.515i	1.15155	+	0.308556i	0.783585	−	0.621285i	$-0.213389\pi$
$107$	1274.55	+	341.515i	1.15155	+	0.308556i	0.367962	+	0.929841i	$0.380056\pi$
$108$	−520.447	−	421.450i	−0.463704	−	0.375500i
$109$	−201.264	+	946.870i	−0.176858	+	0.832053i	0.796836	+	0.604195i	$0.206505\pi$
$109$	−201.264	+	946.870i	−0.176858	+	0.832053i	−0.973695	+	0.227857i	$0.926828\pi$
$110$	1762.09	−	669.368i	1.52735	−	0.580198i
$111$	79.0465	+	25.6838i	0.0675924	+	0.0219621i
$112$	−1258.19	+	710.537i	−1.06150	+	0.599459i
$113$	980.457	−	1924.25i	0.816227	−	1.60193i	0.0178008	−	0.999842i	$-0.494334\pi$
$113$	980.457	−	1924.25i	0.816227	−	1.60193i	0.798426	−	0.602093i	$-0.205666\pi$
$114$	127.026	+	597.611i	0.104360	+	0.490977i
$115$	−209.835	−	81.3881i	−0.170150	−	0.0659955i
$116$	−1430.74	−	304.113i	−1.14518	−	0.243415i
$117$	72.6166	+	189.173i	0.0573796	+	0.149479i
$118$	−701.500	+	701.500i	−0.547274	+	0.547274i
$119$	870.100	−	553.349i	0.670269	−	0.426264i
$120$	−188.015	+	571.862i	−0.143028	+	0.435030i
$121$	−82.4837	+	784.780i	−0.0619713	+	0.589617i
$122$	−940.239	−	360.924i	−0.697748	−	0.267840i
$123$	−2.63295	+	50.2397i	−0.00193012	+	0.0368289i
$124$	−332.669	−	576.200i	−0.240924	−	0.417293i
$125$	−1139.16	+	809.590i	−0.815117	+	0.579296i
$126$	349.203	+	21.6352i	0.246901	+	0.0152970i
$127$	1131.71	+	2221.10i	0.790729	+	1.55189i	0.833314	+	0.552800i	$0.186441\pi$
$127$	1131.71	+	2221.10i	0.790729	+	1.55189i	−0.0425847	+	0.999093i	$0.513559\pi$
$128$	894.848	−	724.634i	0.617923	−	0.500384i
$129$	−1032.99	+	459.919i	−0.705040	+	0.313904i
$130$	1198.56	−	1071.65i	0.808624	−	0.723002i
$131$	1167.91	−	2623.17i	0.778938	−	1.74952i	0.126110	−	0.992016i	$-0.459751\pi$
$131$	1167.91	−	2623.17i	0.778938	−	1.74952i	0.652828	−	0.757506i	$-0.273583\pi$
$132$	998.326	+	998.326i	0.658281	+	0.658281i
$133$	401.474	+	368.468i	0.261746	+	0.240227i
$134$	−1238.91	+	402.547i	−0.798699	+	0.259513i
$135$	−1079.19	+	867.701i	−0.688013	+	0.553184i
$136$	−392.843	+	353.717i	−0.247691	+	0.223022i
$137$	−1920.26	+	1247.03i	−1.19751	+	0.777673i	−0.980119	−	0.198411i	$-0.936422\pi$
$137$	−1920.26	+	1247.03i	−1.19751	+	0.777673i	−0.217392	+	0.976084i	$0.569755\pi$
$138$	−21.8763	−	417.425i	−0.0134945	−	0.257490i
$139$	−425.263	+	1308.83i	−0.259499	+	0.798655i	0.733411	+	0.679785i	$0.237927\pi$
$139$	−425.263	+	1308.83i	−0.259499	+	0.798655i	−0.992910	+	0.118870i	$0.962073\pi$
$140$	−332.098	−	1069.20i	−0.200481	−	0.645454i
$141$	−54.0834	−	166.452i	−0.0323025	−	0.0994167i
$142$	2378.46	−	913.007i	1.40561	−	0.539562i
$143$	468.041	+	1746.75i	0.273703	+	1.02148i
$144$	−400.332	+	42.0765i	−0.231673	+	0.0243499i
$145$	−1239.80	+	2758.73i	−0.710068	+	1.58000i
$146$	−1871.00	+	2575.21i	−1.06058	+	1.45977i
$147$	1651.19	−	1028.15i	0.926447	−	0.576874i
$148$	70.6087	−	35.9769i	0.0392162	−	0.0199817i
$149$	693.724	−	400.522i	0.381423	−	0.220215i	−0.297014	−	0.954873i	$-0.595991\pi$
$149$	693.724	−	400.522i	0.381423	−	0.220215i	0.678437	+	0.734658i	$0.262658\pi$
$150$	−2238.71	−	1313.41i	−1.21860	−	0.714929i
$151$	41.3152	−	71.5601i	0.0222661	−	0.0385661i	−0.854678	−	0.519159i	$-0.826245\pi$
$151$	41.3152	−	71.5601i	0.0222661	−	0.0385661i	0.876944	+	0.480593i	$0.159579\pi$
$152$	−234.292	−	152.151i	−0.125023	−	0.0811912i
$153$	283.721	−	44.9370i	0.149918	−	0.0237447i
$154$	3079.19	+	517.782i	1.61122	+	0.270935i
$155$	−1309.90	+	420.571i	−0.678798	+	0.217943i
$156$	1100.14	+	489.815i	0.564627	+	0.251388i
$157$	915.279	−	245.248i	0.465269	−	0.124668i	−0.0185662	−	0.999828i	$-0.505910\pi$
$157$	915.279	−	245.248i	0.465269	−	0.124668i	0.483835	+	0.875159i	$0.339243\pi$
$158$	2833.06	−	3498.54i	1.42649	−	1.76157i
$159$	−1839.08	+	2042.50i	−0.917284	+	1.01875i
$160$	1057.20	+	2092.88i	0.522371	+	1.03410i
$161$	−231.857	−	291.957i	−0.113496	−	0.142916i
$162$	−2745.97	−	1399.14i	−1.33175	−	0.678561i
$163$	−740.169	+	38.7906i	−0.355672	+	0.0186400i	−0.229335	−	0.973347i	$-0.573655\pi$
$163$	−740.169	+	38.7906i	−0.355672	+	0.0186400i	−0.126337	+	0.991987i	$0.540322\pi$
$164$	32.0963	+	35.6465i	0.0152823	+	0.0169727i
$165$	2453.91	−	1581.45i	1.15780	−	0.746158i
$166$	−1927.47	−	1735.50i	−0.901207	−	0.811451i
$167$	2423.98	+	383.921i	1.12319	+	0.177896i	0.690282	−	0.723540i	$-0.257486\pi$
$167$	2423.98	+	383.921i	1.12319	+	0.177896i	0.432911	+	0.901437i	$0.357486\pi$
$168$	−747.363	+	660.158i	−0.343216	+	0.303169i
$169$	−384.718	−	529.519i	−0.175111	−	0.241019i
$170$	−1132.75	−	1977.86i	−0.511046	−	0.892324i
$171$	61.7455	+	138.683i	0.0276128	+	0.0620195i
$172$	−386.365	+	1006.52i	−0.171280	+	0.446198i
$173$	−1973.28	+	3038.58i	−0.867200	+	1.33537i	0.0739076	+	0.997265i	$0.476453\pi$
$173$	−1973.28	+	3038.58i	−0.867200	+	1.33537i	−0.941108	+	0.338106i	$0.890214\pi$
$174$	−5617.20			−2.44735
$175$	−2306.03	+	203.998i	−0.996110	+	0.0881189i
$176$	−3592.42			−1.53857
$177$	−836.835	+	1288.61i	−0.355369	+	0.547221i
$178$	−722.502	+	1882.18i	−0.304235	+	0.792559i
$179$	−1360.27	−	3055.22i	−0.567997	−	1.27574i	−0.937975	−	0.346702i	$-0.887302\pi$
$179$	−1360.27	−	3055.22i	−0.567997	−	1.27574i	0.369979	−	0.929040i	$-0.379365\pi$
$180$	33.6825	−	310.070i	0.0139475	−	0.128396i
$181$	25.4301	+	35.0016i	0.0104431	+	0.0143737i	0.814207	−	0.580575i	$-0.197172\pi$
$181$	25.4301	+	35.0016i	0.0104431	+	0.0143737i	−0.803764	+	0.594949i	$0.797172\pi$
$182$	2610.26	−	528.916i	1.06311	−	0.215417i
$183$	−1540.62	−	244.010i	−0.622326	−	0.0985668i
$184$	142.036	+	127.890i	0.0569079	+	0.0512401i
$185$	−41.8587	−	158.425i	−0.0166352	−	0.0629602i
$186$	−1709.69	−	1898.81i	−0.673982	−	0.748533i
$187$	2560.10	−	134.169i	1.00114	−	0.0524676i
$188$	−148.684	−	75.7582i	−0.0576802	−	0.0293896i
$189$	−2268.93	+	337.260i	−0.873228	+	0.129799i
$190$	854.689	−	848.753i	0.326346	−	0.324079i
$191$	1459.31	−	1620.73i	0.552837	−	0.613987i	−0.400353	−	0.916361i	$-0.631112\pi$
$191$	1459.31	−	1620.73i	0.552837	−	0.613987i	0.953189	+	0.302374i	$0.0977790\pi$
$192$	−512.978	+	633.476i	−0.192818	+	0.238110i
$193$	−500.142	+	134.013i	−0.186534	+	0.0499816i	−0.350877	−	0.936422i	$-0.614116\pi$
$193$	−500.142	+	134.013i	−0.186534	+	0.0499816i	0.164343	+	0.986403i	$0.447450\pi$
$194$	4134.67	+	1840.88i	1.53017	+	0.681274i
$195$	1470.66	−	2009.43i	0.540083	−	0.737939i
$196$	420.049	−	1806.40i	0.153079	−	0.658309i
$197$	3707.49	−	587.209i	1.34085	−	0.212370i	0.555550	−	0.831483i	$-0.312508\pi$
$197$	3707.49	−	587.209i	1.34085	−	0.212370i	0.785302	+	0.619113i	$0.212508\pi$
$198$	729.513	+	473.751i	0.261839	+	0.170040i
$199$	−1644.01	+	2847.51i	−0.585633	+	1.01435i	0.409164	+	0.912461i	$0.365821\pi$
$199$	−1644.01	+	2847.51i	−0.585633	+	1.01435i	−0.994796	+	0.101884i	$0.967513\pi$
$200$	1148.48	−	299.172i	0.406050	−	0.105773i
$201$	−1747.24	+	1008.77i	−0.613139	+	0.353996i
$202$	1543.82	−	786.617i	0.537737	−	0.273991i
$203$	−4081.11	+	2906.16i	−1.41102	+	1.00479i
$204$	1003.46	−	1381.15i	0.344395	−	0.474019i
$205$	86.0685	−	49.2926i	0.0293234	−	0.0167939i
$206$	−237.661	+	24.9792i	−0.0803816	+	0.00844845i
$207$	−26.8812	−	100.322i	−0.00902595	−	0.0336853i
$208$	−2860.68	+	1098.11i	−0.953618	+	0.366060i
$209$	418.654	+	1288.49i	0.138559	+	0.426442i
$210$	−2101.17	−	3751.14i	−0.690452	−	1.23263i
$211$	−1271.60	+	3913.60i	−0.414885	+	1.27689i	0.497468	+	0.867482i	$0.334263\pi$
$211$	−1271.60	+	3913.60i	−0.414885	+	1.27689i	−0.912353	+	0.409404i	$0.865737\pi$
$212$	137.148	+	2616.94i	0.0444310	+	0.847794i
$213$	3309.21	−	2149.03i	1.06452	−	0.691310i
$214$	3590.48	−	3232.88i	1.14692	−	1.03269i
$215$	1865.41	+	1220.67i	0.591720	+	0.387206i
$216$	1118.40	−	363.389i	0.352302	−	0.114470i
$217$	−2224.54	−	495.014i	−0.695906	−	0.154856i
$218$	2506.32	+	2506.32i	0.778667	+	0.778667i
$219$	−2005.20	+	4503.75i	−0.618716	+	1.38966i
$220$	588.203	−	2720.62i	0.180257	−	0.833747i
$221$	1997.63	−	889.401i	0.608031	−	0.270713i
$222$	236.507	−	191.520i	0.0715014	−	0.0579007i
$223$	−1878.13	−	3686.03i	−0.563985	−	1.10688i	−0.980273	−	0.197650i	$-0.936669\pi$
$223$	−1878.13	−	3686.03i	−0.563985	−	1.10688i	0.416288	−	0.909233i	$-0.363331\pi$
$224$	−240.181	+	3876.64i	−0.0716419	+	1.15633i
$225$	−611.954	−	203.562i	−0.181320	−	0.0603146i
$226$	−3953.82	−	6848.22i	−1.16374	−	2.01565i
$227$	83.4975	−	1593.23i	0.0244138	−	0.465843i	−0.958879	−	0.283814i	$-0.908400\pi$
$227$	83.4975	−	1593.23i	0.0244138	−	0.465843i	0.983293	−	0.182029i	$-0.0582664\pi$
$228$	842.277	+	323.320i	0.244654	+	0.0939140i
$229$	−447.984	+	4262.28i	−0.129273	+	1.22995i	0.716949	+	0.697125i	$0.245538\pi$
$229$	−447.984	+	4262.28i	−0.129273	+	1.22995i	−0.846223	+	0.532829i	$0.821129\pi$
$230$	−668.388	+	482.063i	−0.191618	+	0.138201i
$231$	4831.49	−	207.121i	1.37614	−	0.0589938i
$232$	1816.17	−	1816.17i	0.513954	−	0.513954i
$233$	−877.699	−	2286.48i	−0.246781	−	0.642886i	0.753106	−	0.657899i	$-0.228555\pi$
$233$	−877.699	−	2286.48i	−0.246781	−	0.642886i	−0.999887	+	0.0150124i	$0.995221\pi$
$234$	725.733	+	154.259i	0.202746	+	0.0430951i
$235$	−218.081	+	267.396i	−0.0605362	+	0.0742256i
$236$	304.587	+	1432.97i	0.0840123	+	0.395247i
$237$	3165.33	−	6212.31i	0.867554	−	1.70267i
$238$	35.9322	−	3775.44i	0.00978630	−	1.02826i
$239$	6163.04	+	2002.49i	1.66801	+	0.541968i	0.982526	−	0.186123i	$-0.0595922\pi$
$239$	6163.04	+	2002.49i	1.66801	+	0.541968i	0.685480	+	0.728091i	$0.259592\pi$
$240$	3099.65	+	3855.15i	0.833674	+	1.03687i
$241$	784.665	−	3691.56i	0.209729	−	0.986698i	−0.739753	−	0.672878i	$-0.765058\pi$
$241$	784.665	−	3691.56i	0.209729	−	0.986698i	0.949482	−	0.313820i	$-0.101609\pi$
$242$	2245.44	+	1818.32i	0.596457	+	0.483001i
$243$	−1380.31	−	369.853i	−0.364390	−	0.0976381i
$244$	−1203.19	+	874.168i	−0.315681	+	0.229356i
$245$	−3467.31	−	1638.27i	−0.904155	−	0.427204i
$246$	149.027	+	108.275i	0.0386245	+	0.0280623i
$247$	727.237	+	898.063i	0.187340	+	0.231346i
$248$	1166.71	+	61.1447i	0.298735	+	0.0156560i
$249$	−3478.82	−	2008.50i	−0.885387	−	0.511179i
$250$	214.377	+	5112.69i	0.0542335	+	1.29342i
$251$			5850.69i			1.47128i	0.677370	+	0.735642i	$0.263119\pi$
$251$			5850.69i			1.47128i	−0.677370	+	0.735642i	$0.736881\pi$
$252$	307.645	−	415.072i	0.0769041	−	0.103758i
$253$	−144.999	−	915.489i	−0.0360317	−	0.227495i
$254$	9077.50	+	954.084i	2.24241	+	0.235687i
$255$	−2352.92	−	2631.57i	−0.577826	−	0.646256i
$256$	−560.902	−	5336.63i	−0.136939	−	1.30289i
$257$	1548.55	−	5779.28i	0.375860	−	1.40273i	−0.476224	−	0.879324i	$-0.657995\pi$
$257$	1548.55	−	5779.28i	0.375860	−	1.40273i	0.852084	−	0.523405i	$-0.175339\pi$
$258$	−647.688	+	4089.34i	−0.156292	+	0.986788i
$259$	72.7452	−	261.508i	0.0174524	−	0.0627386i
$260$	−363.235	−	2346.26i	−0.0866418	−	0.559650i
$261$	−1365.22	+	290.186i	−0.323774	+	0.0688202i
$262$	−5726.25	−	8817.66i	−1.35026	−	2.07922i
$263$	2208.92	+	3401.43i	0.517900	+	0.797496i	0.996763	−	0.0803938i	$-0.0256178\pi$
$263$	2208.92	+	3401.43i	0.517900	+	0.797496i	−0.478863	+	0.877889i	$0.658951\pi$
$264$	−2424.98	+	515.445i	−0.565330	+	0.120165i
$265$	5348.94	+	866.306i	1.23993	+	0.200818i
$266$	1932.13	−	498.055i	0.445364	−	0.114803i
$267$	−488.462	+	3084.03i	−0.111960	+	0.706889i
$268$	−497.875	+	1858.09i	−0.113480	+	0.423512i
$269$	−870.788	−	8284.99i	−0.197371	−	1.87786i	−0.426530	−	0.904473i	$-0.640264\pi$
$269$	−870.788	−	8284.99i	−0.197371	−	1.87786i	0.229159	−	0.973389i	$-0.426402\pi$
$270$	512.423	+	5044.41i	0.115500	+	1.13701i
$271$	1600.00	+	168.167i	0.358646	+	0.0376953i	0.282138	−	0.959374i	$-0.408956\pi$
$271$	1600.00	+	168.167i	0.358646	+	0.0376953i	0.0765080	+	0.997069i	$0.475623\pi$
$272$	679.540	+	4290.45i	0.151482	+	0.956422i
$273$	3784.05	−	1641.80i	0.838906	−	0.363979i
$274$			8383.68i			1.84845i
$275$	−5241.53	−	2377.59i	−1.14937	−	0.521360i
$276$	−534.557	−	308.627i	−0.116582	−	0.0673085i
$277$	−5087.94	−	266.648i	−1.10363	−	0.0578387i	−0.508194	−	0.861243i	$-0.669687\pi$
$277$	−5087.94	−	266.648i	−1.10363	−	0.0578387i	−0.595434	+	0.803404i	$0.703020\pi$
$278$	3171.12	+	3916.01i	0.684141	+	0.844843i
$279$	−513.621	−	373.168i	−0.110214	−	0.0800751i
$280$	1892.19	+	533.472i	0.403857	+	0.113861i
$281$	3813.85	−	2770.92i	0.809662	−	0.588254i	−0.104070	−	0.994570i	$-0.533187\pi$
$281$	3813.85	−	2770.92i	0.809662	−	0.588254i	0.913733	+	0.406316i	$0.133187\pi$
$282$	−619.001	−	165.861i	−0.130713	−	0.0350243i
$283$	1154.18	+	934.633i	0.242433	+	0.196319i	0.742835	−	0.669475i	$-0.233481\pi$
$283$	1154.18	+	934.633i	0.242433	+	0.196319i	−0.500401	+	0.865794i	$0.666814\pi$
$284$	782.192	−	3679.92i	0.163431	−	0.768885i
$285$	1021.49	−	1561.02i	0.212308	−	0.324445i
$286$	6297.38	+	2046.14i	1.30200	+	0.423045i
$287$	164.292	+	1.56362i	0.0337904	+	0.000321595i
$288$	−491.229	+	964.092i	−0.100507	+	0.197256i
$289$	376.962	+	1773.47i	0.0767275	+	0.360975i
$290$	5999.16	+	9308.75i	1.21477	+	1.88493i
$291$	6856.52	+	1457.40i	1.38122	+	0.293588i
$292$	1684.51	+	4388.31i	0.337598	+	0.879473i
$293$	1938.99	−	1938.99i	0.386612	−	0.386612i	−0.486865	−	0.873477i	$-0.661860\pi$
$293$	1938.99	−	1938.99i	0.386612	−	0.386612i	0.873477	+	0.486865i	$0.161860\pi$
$294$	135.557	−	7120.90i	0.0268905	−	1.41258i
$295$	3029.21	+	10.5559i	0.597856	+	0.00208335i
$296$	−14.5455	+	138.391i	−0.00285621	+	0.0271750i
$297$	−5324.13	−	2043.74i	−1.04019	−	0.399293i
$298$	153.505	−	2929.04i	0.0298399	−	0.569379i
$299$	−395.307	−	684.692i	−0.0764588	−	0.132431i
$300$	−3427.11	+	1716.22i	−0.659549	+	0.330287i
$301$	1645.13	+	3306.16i	0.315028	+	0.633102i
$302$	−137.358	−	269.579i	−0.0261723	−	0.0513661i
$303$	2085.49	−	1688.79i	0.395406	−	0.320194i
$304$	−2097.17	+	933.719i	−0.395660	+	0.176159i
$305$	1241.01	+	2813.69i	0.232983	+	0.528235i
$306$	427.810	−	960.877i	0.0799224	−	0.179509i
$307$	−4755.07	−	4755.07i	−0.883994	−	0.883994i	0.109944	−	0.993938i	$-0.464933\pi$
$307$	−4755.07	−	4755.07i	−0.883994	−	0.883994i	−0.993938	+	0.109944i	$0.964933\pi$
$308$	3117.73	−	3397.01i	0.576783	−	0.628450i
$309$	−351.996	+	114.371i	−0.0648038	+	0.0210560i
$310$	−1320.73	+	4861.20i	−0.241975	+	0.890638i
$311$	−309.026	+	278.248i	−0.0563448	+	0.0507331i	−0.696822	−	0.717244i	$-0.745403\pi$
$311$	−309.026	+	278.248i	−0.0563448	+	0.0507331i	0.640477	+	0.767977i	$0.278737\pi$
$312$	−1773.48	+	1151.71i	−0.321806	+	0.208983i
$313$	−59.1698	−	1129.03i	−0.0106852	−	0.203886i	−0.998755	−	0.0498805i	$-0.984116\pi$
$313$	−59.1698	−	1129.03i	−0.0106852	−	0.203886i	0.988070	−	0.154006i	$-0.0492174\pi$
$314$	1072.15	−	3299.75i	0.192692	−	0.593044i
$315$	−704.460	−	803.140i	−0.126006	−	0.143657i
$316$	−2054.26	−	6322.37i	−0.365700	−	1.12551i
$317$	−9651.64	+	3704.92i	−1.71006	+	0.656432i	−0.998913	−	0.0466075i	$-0.985159\pi$
$317$	−9651.64	+	3704.92i	−1.71006	+	0.656432i	−0.711151	+	0.703040i	$0.751826\pi$
$318$	2604.66	+	9720.71i	0.459314	+	1.71418i
$319$	−12387.8	+	1302.01i	−2.17424	+	0.228522i
$320$	1597.65	+	173.550i	0.279098	+	0.0303180i
$321$	4398.31	−	6053.76i	0.764766	−	1.05261i
$322$	−1358.93	+	129.766i	−0.235187	+	0.0224583i
$323$	1459.65	−	743.731i	0.251447	−	0.128119i
$324$	−3941.26	+	2275.49i	−0.675798	+	0.390172i
$325$	−4900.66	−	291.094i	−0.836430	−	0.0496831i
$326$	−1356.94	+	2350.30i	−0.230534	+	0.399297i
$327$	4603.96	+	2989.85i	0.778592	+	0.505623i
$328$	−83.1916	+	13.1763i	−0.0140045	+	0.00221810i
$329$	−535.539	+	199.747i	−0.0897423	+	0.0334724i
$330$	37.2492	−	10689.3i	0.00621364	−	1.78311i
$331$	−8460.22	−	3766.73i	−1.40488	−	0.625493i	−0.442394	−	0.896821i	$-0.645871\pi$
$331$	−8460.22	−	3766.73i	−1.40488	−	0.625493i	−0.962487	+	0.271328i	$0.912537\pi$
$332$	−3699.53	+	991.286i	−0.611561	+	0.163867i
$333$	47.5873	−	58.7655i	0.00783114	−	0.00967066i
$334$	6012.92	−	6678.03i	0.985067	−	1.09403i
$335$	3537.77	+	1818.14i	0.576983	+	0.296525i
$336$	1204.78	+	8105.20i	0.195614	+	1.31600i
$337$	−5739.38	−	2924.36i	−0.927727	−	0.472701i	−0.0762481	−	0.997089i	$-0.524294\pi$
$337$	−5739.38	−	2924.36i	−0.927727	−	0.472701i	−0.851479	+	0.524388i	$0.824294\pi$
$338$	−2393.28	+	125.427i	−0.385140	+	0.0201843i
$339$	−8194.95	−	9101.41i	−1.31295	−	1.45817i
$340$	−3360.52	−	187.862i	−0.536029	−	0.0299655i
$341$	−4210.56	−	3791.20i	−0.668664	−	0.602068i
$342$	549.006	+	86.9541i	0.0868037	+	0.0137484i
$343$	−3585.64	−	5243.74i	−0.564450	−	0.825467i
$344$	−1112.77	−	1531.59i	−0.174408	−	0.240052i
$345$	−857.333	+	945.518i	−0.133789	+	0.147551i
$346$	5395.83	+	12119.2i	0.838387	+	1.88305i
$347$	−2432.32	+	6336.40i	−0.376293	+	0.980276i	0.606421	+	0.795144i	$0.292605\pi$
$347$	−2432.32	+	6336.40i	−0.376293	+	0.980276i	−0.982714	+	0.185132i	$0.940729\pi$
$348$	−4517.71	+	6956.66i	−0.695904	+	1.07160i
$349$	5857.65			0.898433			0.449216	−	0.893423i	$-0.351703\pi$
$349$	5857.65			0.898433			0.449216	+	0.893423i	$0.351703\pi$
$350$	−3972.29	+	7488.25i	−0.606651	+	1.14361i
$351$	−4864.39			−0.739721
$352$	−5259.29	+	8098.60i	−0.796367	+	1.22630i
$353$	1924.03	−	5012.28i	0.290102	−	0.755741i	−0.708639	−	0.705571i	$-0.750690\pi$
$353$	1924.03	−	5012.28i	0.290102	−	0.755741i	0.998741	−	0.0501696i	$-0.0159762\pi$
$354$	2288.28	+	5139.57i	0.343562	+	0.771652i
$355$	−7095.58	−	3188.83i	−1.06083	−	0.476748i
$356$	1749.92	+	2408.56i	0.260521	+	0.358576i
$357$	−1161.29	−	5731.10i	−0.172162	−	0.849641i
$358$	−12094.8	−	1915.62i	−1.78555	−	0.282804i
$359$	−2462.37	−	2217.12i	−0.362002	−	0.325948i	0.467979	−	0.883740i	$-0.344982\pi$
$359$	−2462.37	−	2217.12i	−0.362002	−	0.325948i	−0.829981	+	0.557791i	$0.811649\pi$
$360$	424.420	+	346.144i	0.0621359	+	0.0506762i
$361$	−4010.27	−	4453.86i	−0.584673	−	0.649345i
$362$	158.198	−	8.29078i	0.0229687	−	0.00120374i
$363$	3987.20	+	2031.58i	0.576512	+	0.293748i
$364$	1444.30	−	3658.09i	0.207972	−	0.526747i
$365$	9605.11	−	1487.01i	1.37741	−	0.213243i
$366$	−3821.65	+	4244.38i	−0.545795	+	0.606167i
$367$	−469.562	+	579.861i	−0.0667873	+	0.0824755i	−0.809445	−	0.587196i	$-0.800232\pi$
$367$	−469.562	+	579.861i	−0.0667873	+	0.0824755i	0.742657	+	0.669672i	$0.233565\pi$
$368$	1517.07	−	406.499i	0.214899	−	0.0575821i
$369$	41.8135	+	18.6166i	0.00589897	+	0.00262639i
$370$	−569.973	−	187.394i	−0.0800851	−	0.0263301i
$371$	6921.57	+	5714.90i	0.968599	+	0.799738i
$372$	−3726.63	+	590.240i	−0.519400	+	0.0822649i
$373$	−3955.81	−	2568.93i	−0.549126	−	0.356607i	0.240063	−	0.970757i	$-0.422832\pi$
$373$	−3955.81	−	2568.93i	−0.549126	−	0.356607i	−0.789189	+	0.614151i	$0.789499\pi$
$374$	4693.41	−	8129.23i	0.648905	−	1.12394i
$375$	1971.09	+	7676.33i	0.271432	+	1.05708i
$376$	253.764	−	146.511i	0.0348055	−	0.0200950i
$377$	−9466.53	+	4823.44i	−1.29324	+	0.658938i
$378$	−3489.08	+	7640.08i	−0.474759	+	1.03959i
$379$	−3441.45	+	4736.75i	−0.466426	+	0.641980i	−0.975826	−	0.218550i	$-0.929867\pi$
$379$	−3441.45	+	4736.75i	−0.466426	+	0.641980i	0.509400	+	0.860530i	$0.329867\pi$
$380$	−363.749	−	1741.12i	−0.0491051	−	0.235046i
$381$	14059.0	−	1477.66i	1.89046	−	0.198695i
$382$	−2066.80	−	7713.39i	−0.276823	−	1.03312i
$383$	−10233.7	+	3928.36i	−1.36532	+	0.524099i	−0.927116	−	0.374775i	$-0.877720\pi$
$383$	−10233.7	+	3928.36i	−1.36532	+	0.524099i	−0.438208	+	0.898874i	$0.644387\pi$
$384$	−2017.82	−	6210.22i	−0.268155	−	0.825297i
$385$	−5503.26	−	7785.47i	−0.728499	−	1.03061i
$386$	−585.865	+	1803.11i	−0.0772532	+	0.237761i
$387$	53.8408	+	1027.34i	0.00707205	+	0.134943i
$388$	5605.21	−	3640.07i	0.733406	−	0.476279i
$389$	8236.23	−	7415.93i	1.07350	−	0.966588i	0.0739750	−	0.997260i	$-0.476431\pi$
$389$	8236.23	−	7415.93i	1.07350	−	0.966588i	0.999529	+	0.0306723i	$0.00976483\pi$
$390$	−3237.80	−	8523.41i	−0.420391	−	1.10667i
$391$	−1065.95	+	346.347i	−0.137870	+	0.0447968i
$392$	2258.52	+	2346.18i	0.291001	+	0.302296i
$393$	−11514.2	−	11514.2i	−1.47790	−	1.47790i
$394$	5590.35	−	12556.1i	0.714817	−	1.60550i
$395$	−13675.5	+	1389.19i	−1.74200	+	0.176957i
$396$	1173.44	−	522.449i	0.148908	−	0.0662981i
$397$	5939.11	−	4809.40i	0.750820	−	0.608002i	−0.175614	−	0.984459i	$-0.556191\pi$
$397$	5939.11	−	4809.40i	0.750820	−	0.608002i	0.926434	+	0.376457i	$0.122858\pi$
$398$	5465.72	+	10727.1i	0.688371	+	1.35100i
$399$	2766.67	−	1376.68i	0.347135	−	0.172733i
$400$	3078.27	−	9254.00i	0.384784	−	1.15675i
$401$	1018.51	+	1764.12i	0.126838	+	0.219691i	0.922450	−	0.386116i	$-0.126184\pi$
$401$	1018.51	+	1764.12i	0.126838	+	0.219691i	−0.795612	+	0.605807i	$0.792850\pi$
$402$	−386.623	+	7377.22i	−0.0479677	+	0.915279i
$403$	−4511.79	−	1731.91i	−0.557688	−	0.214076i
$404$	267.449	−	2544.60i	0.0329358	−	0.313363i
$405$	2876.74	+	8959.82i	0.352954	+	1.09930i
$406$	785.702	+	18328.0i	0.0960437	+	2.24040i
$407$	477.184	−	477.184i	0.0581158	−	0.0581158i
$408$	1074.31	+	2798.67i	0.130358	+	0.339595i
$409$	12372.4	+	2629.83i	1.49578	+	0.317938i	0.881891	−	0.471453i	$-0.156270\pi$
$409$	12372.4	+	2629.83i	1.49578	+	0.317938i	0.613890	+	0.789391i	$0.289604\pi$
$410$	20.2705	−	362.603i	0.00244168	−	0.0436773i
$411$	2699.61	+	12700.7i	0.323996	+	1.52428i
$412$	−160.206	+	314.423i	−0.0191573	+	0.0375983i
$413$	4321.58	+	2550.21i	0.514893	+	0.303844i
$414$	−361.680	−	117.517i	−0.0429362	−	0.0139508i
$415$	386.917	+	7910.14i	0.0457663	+	0.935647i
$416$	−1712.49	+	8056.64i	−0.201831	+	0.949542i
$417$	6065.01	+	4911.35i	0.712242	+	0.576762i
$418$	4791.62	+	1283.91i	0.560684	+	0.150235i
$419$	713.589	−	518.453i	0.0832007	−	0.0604489i	−0.545407	−	0.838171i	$-0.683625\pi$
$419$	713.589	−	518.453i	0.0832007	−	0.0604489i	0.628608	+	0.777722i	$0.283625\pi$
$420$	−6335.52	−	414.691i	−0.736052	−	0.0481782i
$421$	8896.35	+	6463.57i	1.02988	+	0.748255i	0.968286	−	0.249846i	$-0.0803800\pi$
$421$	8896.35	+	6463.57i	1.02988	+	0.748255i	0.0615990	+	0.998101i	$0.480380\pi$
$422$	9482.15	+	11709.5i	1.09380	+	1.35073i
$423$	−159.012	−	8.33346i	−0.0182776	−	0.000957889i
$424$	−3985.08	−	2300.78i	−0.456444	−	0.263528i
$425$	−1848.09	+	6709.75i	−0.210930	+	0.765813i
$426$		−	14447.7i		−	1.64318i
$427$	−580.670	+	5060.90i	−0.0658093	+	0.573570i
$428$	−1116.09	−	7046.74i	−0.126048	−	0.795835i
$429$	10199.0	+	1071.95i	1.14781	+	0.120640i
$430$	7468.53	−	3294.07i	0.837592	−	0.369428i
$431$	272.592	+	2593.54i	0.0304647	+	0.289852i	0.999138	+	0.0415134i	$0.0132179\pi$
$431$	272.592	+	2593.54i	0.0304647	+	0.289852i	−0.968673	+	0.248339i	$0.920115\pi$
$432$	2501.05	−	9334.06i	0.278546	−	1.03955i
$433$	830.931	−	5246.29i	0.0922217	−	0.582265i	−0.897695	−	0.440617i	$-0.854760\pi$
$433$	830.931	−	5246.29i	0.0922217	−	0.582265i	0.989917	−	0.141648i	$-0.0452401\pi$
$434$	−5956.34	+	5844.03i	−0.658787	+	0.646365i
$435$	12085.8	+	12170.3i	1.33212	+	1.34143i
$436$	5119.71	−	1088.23i	0.562362	−	0.119534i
$437$	−322.596	−	496.754i	−0.0353131	−	0.0543774i
$438$	9831.47	+	15139.1i	1.07252	+	1.65154i
$439$	10993.6	−	2336.75i	1.19520	−	0.254048i	0.433004	−	0.901392i	$-0.357454\pi$
$439$	10993.6	−	2336.75i	1.19520	−	0.254048i	0.762198	+	0.647344i	$0.224120\pi$
$440$	3444.06	+	3468.15i	0.373157	+	0.375767i
$441$	−334.922	−	1737.68i	−0.0361647	−	0.187635i
$442$	1252.51	−	7908.05i	0.134787	−	0.851013i
$443$	2680.14	−	10002.4i	0.287443	−	1.07275i	−0.659593	−	0.751623i	$-0.729271\pi$
$443$	2680.14	−	10002.4i	0.287443	−	1.07275i	0.947036	−	0.321128i	$-0.104062\pi$
$444$	−46.9749	−	446.936i	−0.00502101	−	0.0477717i
$445$	5632.48	−	2484.26i	0.600012	−	0.264641i
$446$	−15064.6	−	1583.35i	−1.59939	−	0.168103i
$447$	−710.628	−	4486.73i	−0.0751936	−	0.474754i
$448$	2138.68	+	1585.15i	0.225542	+	0.167169i
$449$			18171.0i			1.90989i	0.296776	+	0.954947i	$0.404088\pi$
$449$			18171.0i			1.90989i	−0.296776	+	0.954947i	$0.595912\pi$
$450$	−1845.48	+	1473.26i	−0.193326	+	0.154334i
$451$	353.751	+	204.238i	0.0369346	+	0.0213242i
$452$	−11661.1	−	611.134i	−1.21348	−	0.0635959i
$453$	−294.894	−	364.164i	−0.0305857	−	0.0377702i
$454$	−4726.03	−	3433.66i	−0.488554	−	0.354956i
$455$	−6762.13	−	4517.45i	−0.696733	−	0.465453i
$456$	−1281.67	+	931.190i	−0.131622	+	0.0956293i
$457$	6578.13	+	1762.60i	0.673330	+	0.180418i	0.579254	−	0.815147i	$-0.303344\pi$
$457$	6578.13	+	1762.60i	0.673330	+	0.180418i	0.0940755	+	0.995565i	$0.470010\pi$
$458$	12195.4	+	9875.64i	1.24422	+	1.00755i
$459$	−1433.75	+	6745.25i	−0.145799	+	0.685928i
$460$	59.4539	+	1215.47i	0.00602620	+	0.123200i
$461$	−13753.8	−	4468.88i	−1.38954	−	0.451489i	−0.483746	−	0.875208i	$-0.660724\pi$
$461$	−13753.8	−	4468.88i	−1.38954	−	0.451489i	−0.905793	+	0.423720i	$0.860724\pi$
$462$	8999.04	−	15249.8i	0.906219	−	1.53568i
$463$	−2411.22	+	4732.28i	−0.242028	+	0.475006i	−0.979783	−	0.200062i	$-0.935886\pi$
$463$	−2411.22	+	4732.28i	−0.242028	+	0.475006i	0.737755	+	0.675068i	$0.235886\pi$
$464$	−4388.21	−	20644.9i	−0.439047	−	2.06555i
$465$	−435.464	+	7789.67i	−0.0434283	+	0.776854i
$466$	−8771.75	−	1864.49i	−0.871982	−	0.185345i
$467$	664.968	+	1732.30i	0.0658909	+	0.171652i	0.962572	−	0.271025i	$-0.0873625\pi$
$467$	664.968	+	1732.30i	0.0658909	+	0.171652i	−0.896682	+	0.442676i	$0.854029\pi$
$468$	774.724	−	774.724i	0.0765206	−	0.0765206i
$469$	3535.84	+	5559.86i	0.348124	+	0.547399i
$470$	386.229	+	1202.94i	0.0379052	+	0.118058i
$471$	561.692	−	5344.14i	0.0549499	−	0.522813i
$472$	−2401.60	−	921.886i	−0.234200	−	0.0899009i
$473$	−480.499	+	9168.47i	−0.0467090	+	0.891262i
$474$	−12764.6	−	22109.0i	−1.23692	−	2.14240i
$475$	−3677.85	−	25.6328i	−0.355266	−	0.00247603i
$476$	−4646.82	−	3080.95i	−0.447451	−	0.296670i
$477$	1135.22	+	2227.99i	0.108969	+	0.213863i
$478$	18439.8	−	14932.3i	1.76447	−	1.42884i
$479$	15738.2	−	7007.12i	1.50125	−	0.668400i	0.518795	−	0.854899i	$-0.326381\pi$
$479$	15738.2	−	7007.12i	1.50125	−	0.668400i	0.982455	+	0.186499i	$0.0597142\pi$
$480$	13228.8	−	1343.81i	1.25793	−	0.127784i
$481$	234.124	−	525.850i	0.0221936	−	0.0498476i
$482$	−9771.38	−	9771.38i	−0.923391	−	0.923391i
$483$	−2016.90	+	634.172i	−0.190004	+	0.0597430i
$484$	4057.84	−	1318.47i	0.381090	−	0.123823i
$485$	−4907.57	−	12919.0i	−0.459467	−	1.20953i
$486$	−3888.40	+	3501.13i	−0.362925	+	0.326779i
$487$	−6416.87	+	4167.16i	−0.597076	+	0.387746i	−0.807503	−	0.589864i	$-0.799181\pi$
$487$	−6416.87	+	4167.16i	−0.597076	+	0.387746i	0.210427	+	0.977610i	$0.432515\pi$
$488$	−136.676	−	2607.93i	−0.0126783	−	0.241917i
$489$	−1298.86	+	3997.48i	−0.120116	+	0.369678i
$490$	−11945.4	+	7380.47i	−1.10131	+	0.680440i
$491$	−2772.50	−	8532.86i	−0.254829	−	0.784282i	−0.993863	−	0.110615i	$-0.964718\pi$
$491$	−2772.50	−	8532.86i	−0.254829	−	0.784282i	0.739035	−	0.673668i	$-0.235282\pi$
$492$	253.951	−	97.4825i	0.0232703	−	0.00893262i
$493$	3898.26	+	14548.5i	0.356124	+	1.32907i
$494$	4208.08	−	442.287i	0.383260	−	0.0402823i
$495$	−543.161	−	2599.89i	−0.0493197	−	0.236073i
$496$	5643.06	−	7767.01i	0.510848	−	0.703123i
$497$	−7474.79	−	10496.8i	−0.674628	−	0.947376i
$498$	−13105.3	+	6677.50i	−1.17925	+	0.600855i
$499$	−14142.1	+	8164.94i	−1.26871	+	0.732490i	−0.974744	−	0.223325i	$-0.928309\pi$
$499$	−14142.1	+	8164.94i	−1.26871	+	0.732490i	−0.293967	+	0.955816i	$0.594975\pi$
$500$	6504.26	+	3846.45i	0.581758	+	0.344037i
$501$	6958.78	−	12053.0i	0.620550	−	1.07482i
$502$	17966.5	+	11667.6i	1.59738	+	1.03735i
$503$	4695.86	−	743.751i	0.416259	−	0.0659289i	0.0552075	−	0.998475i	$-0.482418\pi$
$503$	4695.86	−	743.751i	0.416259	−	0.0659289i	0.361051	+	0.932546i	$0.382418\pi$
$504$	317.045	+	850.024i	0.0280205	+	0.0751252i
$505$	−5025.94	−	1652.41i	−0.442874	−	0.145607i
$506$	−3100.48	−	1380.42i	−0.272398	−	0.121279i
$507$	−3585.27	+	960.669i	−0.314058	+	0.0841515i
$508$	8482.29	−	10474.8i	0.740829	−	0.914847i
$509$	8032.16	−	8920.62i	0.699448	−	0.776816i	−0.283840	−	0.958872i	$-0.591608\pi$
$509$	8032.16	−	8920.62i	0.699448	−	0.776816i	0.983288	+	0.182055i	$0.0582750\pi$
$510$	−12773.4	+	1977.50i	−1.10905	+	0.171697i
$511$	14975.4	+	5912.66i	1.29643	+	0.511861i
$512$	−9298.85	−	4738.00i	−0.802647	−	0.408969i
$513$	−3639.30	+	190.728i	−0.313214	+	0.0164149i
$514$	−14659.1	−	16280.5i	−1.25794	−	1.39709i
$515$	565.465	+	461.176i	0.0483832	+	0.0394599i
$516$	4543.56	+	4091.04i	0.387634	+	0.349027i
$517$	−1403.55	−	222.300i	−0.119396	−	0.0189105i
$518$	−657.978	−	744.894i	−0.0558106	−	0.0631829i
$519$	12076.8	+	16622.3i	1.02141	+	1.40585i
$520$	3802.67	+	1708.96i	0.320689	+	0.144121i
$521$	2123.06	+	4768.47i	0.178528	+	0.400980i	0.980538	−	0.196331i	$-0.0629027\pi$
$521$	2123.06	+	4768.47i	0.178528	+	0.400980i	−0.802010	+	0.597311i	$0.796236\pi$
$522$	−1831.44	+	4771.06i	−0.153563	+	0.400045i
$523$	12438.6	−	19153.8i	1.03997	−	1.60141i	0.270500	−	0.962720i	$-0.412811\pi$
$523$	12438.6	−	19153.8i	1.03997	−	1.60141i	0.769466	−	0.638688i	$-0.220522\pi$
$524$	−15525.7			−1.29436
$525$	−3606.47	+	12623.3i	−0.299808	+	1.04938i
$526$	14850.3			1.23100
$527$	−3731.39	+	5745.84i	−0.308429	+	0.474939i
$528$	−7300.79	+	19019.2i	−0.601754	+	1.56762i
$529$	−4783.94	−	10744.9i	−0.393190	−	0.883119i
$530$	13327.3	−	14698.1i	1.09226	−	1.20461i
$531$	821.662	+	1130.92i	0.0671508	+	0.0924252i
$532$	937.125	−	2793.43i	0.0763713	−	0.227652i
$533$	344.126	+	54.5043i	0.0279658	+	0.00442935i
$534$	8496.44	+	7650.23i	0.688534	+	0.619958i
$535$	−14729.6	−	823.425i	−1.19031	−	0.0665416i
$536$	−2260.22	−	2510.23i	−0.182139	−	0.202286i
$537$	−18939.6	+	992.581i	−1.52198	+	0.0797636i
$538$	−27178.4	−	13848.1i	−2.17796	−	1.10973i
$539$	−1351.60	−	15735.3i	−0.108010	−	1.25746i
$540$	6659.40	+	3422.42i	0.530695	+	0.272736i
$541$	6225.28	−	6913.87i	0.494724	−	0.549446i	−0.443139	−	0.896453i	$-0.646135\pi$
$541$	6225.28	−	6913.87i	0.494724	−	0.549446i	0.937863	+	0.347007i	$0.112802\pi$
$542$	3707.18	−	4577.98i	0.293795	−	0.362807i
$543$	236.989	−	63.5009i	0.0187296	−	0.00501857i
$544$	10667.1	+	4749.28i	0.840711	+	0.374309i
$545$	37.7142	−	10822.8i	0.00296422	−	0.850636i
$546$	2504.56	−	14894.3i	0.196310	−	1.16743i
$547$	4362.44	−	690.942i	0.340995	−	0.0540083i	0.0164116	−	0.999865i	$-0.494776\pi$
$547$	4362.44	−	690.942i	0.340995	−	0.0540083i	0.324584	+	0.945857i	$0.394776\pi$
$548$	10382.8	+	6742.68i	0.809365	+	0.525608i
$549$	−709.559	+	1228.99i	−0.0551607	+	0.0955412i
$550$	−17754.0	+	11354.5i	−1.37642	+	0.880283i
$551$	−6893.28	+	3979.84i	−0.532965	+	0.307707i
$552$	965.741	−	492.070i	0.0744650	−	0.0379418i
$553$	−20712.5	−	9458.99i	−1.59274	−	0.727373i
$554$	−10965.3	+	15092.5i	−0.840925	+	1.15743i
$555$	−923.812	−	100.353i	−0.0706552	−	0.00767519i
$556$	7400.22	−	777.794i	0.564459	−	0.0593270i
$557$	3019.87	+	11270.3i	0.229724	+	0.857341i	0.980457	+	0.196735i	$0.0630338\pi$
$557$	3019.87	+	11270.3i	0.229724	+	0.857341i	−0.750733	+	0.660606i	$0.770299\pi$
$558$	−2170.21	+	833.067i	−0.164646	+	0.0632017i
$559$	2419.95	+	7447.83i	0.183100	+	0.563524i
$560$	12145.1	−	10652.9i	0.916474	−	0.803869i
$561$	4492.51	−	13826.5i	0.338100	−	1.04056i
$562$	−903.382	−	17237.6i	−0.0678058	−	1.29381i
$563$	7998.06	−	5194.00i	0.598718	−	0.388812i	−0.209403	−	0.977830i	$-0.567152\pi$
$563$	7998.06	−	5194.00i	0.598718	−	0.388812i	0.808120	+	0.589018i	$0.200485\pi$
$564$	−703.251	+	633.210i	−0.0525039	+	0.0472747i
$565$	−6330.56	+	23300.9i	−0.471378	+	1.73500i
$566$	5171.79	−	1680.42i	0.384076	−	0.124794i
$567$	−3385.93	+	15216.0i	−0.250786	+	1.12701i
$568$	4671.27	+	4671.27i	0.345074	+	0.345074i
$569$	3496.78	−	7853.89i	0.257632	−	0.578651i	−0.737704	−	0.675125i	$-0.764090\pi$
$569$	3496.78	−	7853.89i	0.257632	−	0.578651i	0.995335	+	0.0964741i	$0.0307565\pi$
$570$	−2756.56	−	6249.85i	−0.202561	−	0.459259i
$571$	−3693.62	+	1644.50i	−0.270706	+	0.120526i	−0.537600	−	0.843200i	$-0.680669\pi$
$571$	−3693.62	+	1644.50i	−0.270706	+	0.120526i	0.266895	+	0.963726i	$0.414002\pi$
$572$	7598.81	−	6153.40i	0.555458	−	0.449801i
$573$	−5614.83	−	11019.7i	−0.409359	−	0.803413i
$574$	332.437	−	501.395i	0.0241736	−	0.0364596i
$575$	2482.53	+	410.950i	0.180050	+	0.0298049i
$576$	370.801	+	642.246i	0.0268230	+	0.0464588i
$577$	−81.4162	+	1553.51i	−0.00587418	+	0.112086i	0.994119	+	0.108296i	$0.0345396\pi$
$577$	−81.4162	+	1553.51i	−0.00587418	+	0.112086i	−0.999993	+	0.00378954i	$0.998794\pi$
$578$	6197.78	+	2379.11i	0.446010	+	0.171207i
$579$	−306.929	+	2920.23i	−0.0220303	+	0.209604i
$580$	16353.4	+	56.9868i	1.17075	+	0.00407974i
$581$	−6066.80	+	11631.7i	−0.433207	+	0.830579i
$582$	18148.9	−	18148.9i	1.29260	−	1.29260i
$583$	7997.29	+	20833.6i	0.568120	+	1.48000i
$584$	−8073.57	−	1716.09i	−0.572066	−	0.121596i
$585$	−1227.25	−	1904.29i	−0.0867356	−	0.134586i
$586$	−2087.55	−	9821.13i	−0.147160	−	0.692333i
$587$	7022.00	−	13781.5i	0.493746	−	0.969032i	−0.500881	−	0.865516i	$-0.666991\pi$
$587$	7022.00	−	13781.5i	0.493746	−	0.969032i	0.994628	−	0.103516i	$-0.0330093\pi$
$588$	−8709.90	−	5894.96i	−0.610868	−	0.413442i
$589$	−3443.41	−	1118.83i	−0.240888	−	0.0782694i
$590$	6073.35	−	9281.17i	0.423789	−	0.647626i
$591$	4425.81	−	20821.8i	0.308043	−	1.44923i
$592$	888.655	+	719.618i	0.0616951	+	0.0499597i
$593$	3854.22	+	1032.73i	0.266903	+	0.0715166i	0.389789	−	0.920904i	$-0.372548\pi$
$593$	3854.22	+	1032.73i	0.266903	+	0.0715166i	−0.122885	+	0.992421i	$0.539215\pi$
$594$	−16893.5	+	12273.9i	−1.16692	+	0.847816i
$595$	−8257.25	+	8045.28i	−0.568932	+	0.554326i
$596$	−3504.04	−	2545.83i	−0.240824	−	0.174969i
$597$	11734.4	+	14490.8i	0.804450	+	0.993413i
$598$	−2890.91	−	151.506i	−0.197689	−	0.0103604i
$599$	−343.689	−	198.429i	−0.0234437	−	0.0135352i	0.488232	−	0.872714i	$-0.337642\pi$
$599$	−343.689	−	198.429i	−0.0234437	−	0.0135352i	−0.511676	+	0.859178i	$0.670975\pi$
$600$	750.140	−	6688.37i	0.0510406	−	0.455086i
$601$			8246.41i			0.559697i	0.960044	+	0.279849i	$0.0902843\pi$
$601$			8246.41i			0.559697i	−0.960044	+	0.279849i	$0.909716\pi$
$602$	13433.4	+	1541.30i	0.909477	+	0.104350i
$603$	287.143	+	1812.95i	0.0193920	+	0.122436i
$604$	−444.334	−	46.7014i	−0.0299333	−	0.00314611i
$605$	−891.616	−	8777.27i	−0.0599162	−	0.589829i
$606$	−1027.08	−	9772.02i	−0.0688487	−	0.655052i
$607$	−6376.99	+	23799.2i	−0.426415	+	1.59140i	0.334398	+	0.942432i	$0.391467\pi$
$607$	−6376.99	+	23799.2i	−0.426415	+	1.59140i	−0.760813	+	0.648971i	$0.775200\pi$
$608$	−965.311	+	6094.73i	−0.0643890	+	0.406536i
$609$	7092.05	+	27512.6i	0.471895	+	1.83065i
$610$	11115.2	+	1800.21i	0.737776	+	0.119489i
$611$	−1185.61	+	252.009i	−0.0785019	+	0.0166861i
$612$	−845.932	−	1302.62i	−0.0558738	−	0.0860382i
$613$	9800.15	+	15090.9i	0.645717	+	0.994317i	0.998286	+	0.0585308i	$0.0186416\pi$
$613$	9800.15	+	15090.9i	0.645717	+	0.994317i	−0.352569	+	0.935786i	$0.614692\pi$
$614$	−24084.7	+	5119.37i	−1.58303	+	0.336484i
$615$	−86.0529	−	555.846i	−0.00564225	−	0.0364453i
$616$	2021.00	+	7840.19i	0.132189	+	0.512809i
$617$	2634.93	−	16636.3i	0.171926	−	1.08550i	−0.739235	−	0.673448i	$-0.764813\pi$
$617$	2634.93	−	16636.3i	0.171926	−	1.08550i	0.911161	−	0.412051i	$-0.135187\pi$
$618$	−350.747	+	1309.00i	−0.0228303	+	0.0852037i
$619$	2755.07	+	26212.7i	0.178894	+	1.70206i	0.604052	+	0.796945i	$0.293552\pi$
$619$	2755.07	+	26212.7i	0.178894	+	1.70206i	−0.425157	+	0.905119i	$0.639781\pi$
$620$	4958.18	+	5545.35i	0.321170	+	0.359204i
$621$	2479.64	+	260.620i	0.160233	+	0.0168411i
$622$	238.188	+	1503.86i	0.0153544	+	0.0969440i
$623$	10131.0	+	1162.39i	0.651507	+	0.0747516i
$624$			17376.9i			1.11479i
$625$	10616.0	−	11464.8i	0.679424	−	0.733746i
$626$	−3585.06	−	2069.83i	−0.228894	−	0.132152i
$627$	7672.40	+	402.094i	0.488686	+	0.0256110i
$628$	−3224.31	−	3981.69i	−0.204879	−	0.253004i
$629$	−660.168	−	479.640i	−0.0418484	−	0.0304046i
$630$	−3871.16	+	561.641i	−0.244811	+	0.0355179i
$631$	−5818.38	+	4227.30i	−0.367078	+	0.266698i	−0.755998	−	0.654574i	$-0.772848\pi$
$631$	−5818.38	+	4227.30i	−0.367078	+	0.266698i	0.388920	+	0.921271i	$0.372848\pi$
$632$	11275.4	+	3021.24i	0.709672	+	0.190156i
$633$	18135.4	+	14685.7i	1.13873	+	0.922125i
$634$	−7870.35	+	37027.1i	−0.493015	+	2.31945i
$635$	−17463.8	−	21720.3i	−1.09138	−	1.35739i
$636$	14133.5	+	4592.26i	0.881180	+	0.286313i
$637$	−5886.20	−	12117.1i	−0.366122	−	0.753683i
$638$	−20705.8	+	40637.4i	−1.28487	+	2.52171i
$639$	−746.373	−	3511.41i	−0.0462066	−	0.217385i
$640$	−8136.47	+	9976.41i	−0.502534	+	0.616176i
$641$	−3299.38	−	701.305i	−0.203304	−	0.0432135i	0.105134	−	0.994458i	$-0.466473\pi$
$641$	−3299.38	−	701.305i	−0.203304	−	0.0432135i	−0.308438	+	0.951245i	$0.599806\pi$
$642$	−9818.88	−	25579.1i	−0.603614	−	1.57247i
$643$	6544.77	−	6544.77i	0.401401	−	0.401401i	−0.477326	−	0.878726i	$-0.658394\pi$
$643$	6544.77	−	6544.77i	0.401401	−	0.401401i	0.878726	+	0.477326i	$0.158394\pi$
$644$	−932.226	+	1787.34i	−0.0570417	+	0.109365i
$645$	10253.6	−	7395.22i	0.625945	−	0.451452i
$646$	627.003	−	5965.53i	0.0381874	−	0.363329i
$647$	3671.85	+	1409.49i	0.223115	+	0.0856458i	0.467358	−	0.884068i	$-0.345206\pi$
$647$	3671.85	+	1409.49i	0.223115	+	0.0856458i	−0.244243	+	0.969714i	$0.578539\pi$
$648$	418.235	−	7980.40i	0.0253547	−	0.483796i
$649$	6237.72	+	10804.0i	0.377275	+	0.653460i
$650$	−10666.9	+	14468.6i	−0.643679	+	0.873087i
$651$	−7141.61	+	10771.3i	−0.429957	+	0.648480i
$652$	1819.40	+	3570.78i	0.109284	+	0.214482i
$653$	13400.4	−	10851.4i	0.803061	−	0.650306i	−0.137283	−	0.990532i	$-0.543837\pi$
$653$	13400.4	−	10851.4i	0.803061	−	0.650306i	0.940344	+	0.340226i	$0.110504\pi$
$654$	18362.7	−	8175.58i	1.09792	−	0.488824i
$655$	−6784.06	+	31378.4i	−0.404695	+	1.87184i
$656$	−281.521	+	632.305i	−0.0167554	+	0.0376332i
$657$	3171.56	+	3171.56i	0.188332	+	0.188332i
$658$	−454.593	+	2042.89i	−0.0269330	+	0.121034i
$659$	6615.94	−	2149.65i	0.391078	−	0.127069i	−0.106876	−	0.994272i	$-0.534085\pi$
$659$	6615.94	−	2149.65i	0.391078	−	0.127069i	0.497954	+	0.867203i	$0.334085\pi$
$660$	−13208.3	−	8643.16i	−0.778989	−	0.509749i
$661$	12828.8	−	11551.1i	0.754889	−	0.679705i	−0.198954	−	0.980009i	$-0.563755\pi$
$661$	12828.8	−	11551.1i	0.754889	−	0.679705i	0.953844	+	0.300303i	$0.0970879\pi$
$662$	−28438.6	+	18468.2i	−1.66963	+	1.08427i
$663$	−648.990	−	12383.5i	−0.0380161	−	0.725391i
$664$	2078.27	−	6396.25i	0.121464	−	0.373829i
$665$	−5236.22	−	3114.60i	−0.305341	−	0.181623i
$666$	−85.5594	−	263.325i	−0.00497802	−	0.0153208i
$667$	5084.02	−	1951.57i	0.295133	−	0.113291i
$668$	−3434.48	−	12817.6i	−0.198928	−	0.742409i
$669$	−23331.7	+	2452.26i	−1.34836	+	0.141719i
$670$	12638.3	−	7238.15i	0.728749	−	0.417364i
$671$	−7444.20	+	10246.1i	−0.428287	+	0.589486i
$672$	20035.8	+	9149.99i	1.15015	+	0.525251i
$673$	491.355	−	250.358i	0.0281431	−	0.0143397i	−0.439862	−	0.898065i	$-0.644973\pi$
$673$	491.355	−	250.358i	0.0281431	−	0.0143397i	0.468005	+	0.883726i	$0.344973\pi$
$674$	−20425.9	+	11792.9i	−1.16732	+	0.673954i
$675$	9826.80	−	11963.6i	0.560346	−	0.682193i
$676$	−1769.49	+	3064.85i	−0.100677	+	0.174377i
$677$	−21188.2	−	13759.8i	−1.20285	−	0.781138i	−0.221834	−	0.975084i	$-0.571204\pi$
$677$	−21188.2	−	13759.8i	−1.20285	−	0.781138i	−0.981012	+	0.193947i	$0.937871\pi$
$678$	−44291.6	+	7015.09i	−2.50886	+	0.397364i
$679$	3796.19	−	22575.5i	0.214557	−	1.27595i
$680$	3490.56	−	4769.30i	0.196848	−	0.268962i
$681$	−8265.28	−	3679.94i	−0.465090	−	0.207071i
$682$	−20039.0	+	5369.43i	−1.12512	+	0.301475i
$683$	8775.71	−	10837.1i	0.491645	−	0.607131i	−0.469582	−	0.882889i	$-0.655596\pi$
$683$	8775.71	−	10837.1i	0.491645	−	0.607131i	0.961227	+	0.275758i	$0.0889289\pi$
$684$	549.235	−	609.987i	0.0307025	−	0.0340986i
$685$	18164.2	−	18038.1i	1.01317	−	1.00613i
$686$	−23253.2	+	553.733i	−1.29419	+	0.0308187i
$687$	21655.2	+	11033.9i	1.20262	+	0.612764i
$688$	−15535.5	+	814.184i	−0.860883	+	0.0451169i
$689$	12736.7	+	14145.5i	0.704250	+	0.782148i
$690$	1193.82	+	4518.31i	0.0658664	+	0.249288i
$691$	2775.74	+	2499.29i	0.152814	+	0.137594i	0.741991	−	0.670409i	$-0.233882\pi$
$691$	2775.74	+	2499.29i	0.152814	+	0.137594i	−0.589178	+	0.808003i	$0.700548\pi$
$692$	19348.8	+	3064.55i	1.06291	+	0.168348i
$693$	1399.34	−	4171.23i	0.0767051	−	0.228647i
$694$	14607.5	+	20105.5i	0.798980	+	1.09970i
$695$	1661.60	−	15296.2i	0.0906881	−	0.834845i
$696$	−5924.32	−	13306.2i	−0.322645	−	0.724672i
$697$	177.008	−	461.121i	0.00961929	−	0.0250591i
$698$	11681.5	−	17987.9i	0.633454	−	0.975433i
$699$	−13889.0			−0.751544
$700$	6079.11	+	10942.0i	0.328241	+	0.590815i
$701$	−19010.7			−1.02429			−0.512143	−	0.858900i	$-0.671148\pi$
$701$	−19010.7			−1.02429			−0.512143	+	0.858900i	$0.671148\pi$
$702$	−9700.69	+	14937.8i	−0.521551	+	0.803119i
$703$	154.542	−	402.595i	0.00829112	−	0.0215991i
$704$	2691.94	+	6046.19i	0.144114	+	0.323685i
$705$	972.467	+	1698.00i	0.0519507	+	0.0907098i
$706$	−11554.9	−	15904.0i	−0.615971	−	0.847812i
$707$	−5801.95	−	6568.37i	−0.308635	−	0.349404i
$708$	8205.51	+	1299.63i	0.435568	+	0.0689872i
$709$	5387.87	+	4851.26i	0.285396	+	0.256972i	0.799377	−	0.600830i	$-0.205163\pi$
$709$	5387.87	+	4851.26i	0.285396	+	0.256972i	−0.513981	+	0.857802i	$0.671830\pi$
$710$	−23942.5	+	15430.1i	−1.26556	+	0.815609i
$711$	−4244.50	−	4714.00i	−0.223884	−	0.248648i
$712$	−5220.59	+	273.600i	−0.274789	+	0.0144011i
$713$	2207.11	+	1124.58i	0.115928	+	0.0590684i
$714$	−19915.1	−	7862.97i	−1.04385	−	0.412135i
$715$	−9116.05	−	18046.4i	−0.476813	−	0.943915i
$716$	−12099.8	+	13438.2i	−0.631551	+	0.701409i
$717$	23126.7	−	28559.1i	1.20458	−	1.48753i
$718$	−11718.9	+	3140.08i	−0.609119	+	0.163213i
$719$	23924.2	+	10651.8i	1.24092	+	0.552494i	0.918995	−	0.394270i	$-0.129003\pi$
$719$	23924.2	+	10651.8i	1.24092	+	0.552494i	0.321928	+	0.946764i	$0.395669\pi$
$720$	4285.05	−	1375.81i	0.221798	−	0.0712129i
$721$	422.407	+	1132.51i	0.0218187	+	0.0584976i
$722$	−21674.5	+	3432.90i	−1.11723	+	0.176952i
$723$	−17949.4	−	11656.5i	−0.923301	−	0.599599i
$724$	116.965	−	202.589i	0.00600409	−	0.0103994i
$725$	7260.90	−	33026.3i	0.371949	−	1.69182i
$726$	14190.0	−	8192.63i	0.725402	−	0.418811i
$727$	16650.6	−	8483.88i	0.849429	−	0.432806i	0.0256190	−	0.999672i	$-0.491844\pi$
$727$	16650.6	−	8483.88i	0.849429	−	0.432806i	0.823810	+	0.566866i	$0.191844\pi$
$728$	4005.90	+	5625.46i	0.203940	+	0.286392i
$729$	8594.43	−	11829.2i	0.436642	−	0.600986i
$730$	14588.4	−	32461.2i	0.739645	−	1.64581i
$731$	11040.9	−	1160.44i	0.558633	−	0.0587147i
$732$	2182.86	+	8146.55i	0.110220	+	0.411346i
$733$	−24691.7	+	9478.25i	−1.24421	+	0.477609i	−0.889315	−	0.457296i	$-0.848818\pi$
$733$	−24691.7	+	9478.25i	−1.24421	+	0.477609i	−0.354899	+	0.934905i	$0.615485\pi$
$734$	844.246	+	2598.32i	0.0424546	+	0.130662i
$735$	−15719.9	+	15027.4i	−0.788896	+	0.754143i
$736$	1304.60	−	4015.15i	0.0653372	−	0.201087i
$737$	857.329	+	16358.8i	0.0428495	+	0.817618i
$738$	140.554	−	91.2768i	0.00701065	−	0.00455277i
$739$	78.0944	−	70.3165i	0.00388734	−	0.00350018i	−0.667185	−	0.744892i	$-0.732501\pi$
$739$	78.0944	−	70.3165i	0.00388734	−	0.00350018i	0.671072	+	0.741392i	$0.265834\pi$
$740$	−690.488	+	555.173i	−0.0343011	+	0.0275792i
$741$	6232.53	−	2025.07i	0.308985	−	0.100395i
$742$	31352.7	−	9858.23i	1.55121	−	0.487745i
$743$	−1133.40	−	1133.40i	−0.0559631	−	0.0559631i	0.678571	−	0.734534i	$-0.262599\pi$
$743$	−1133.40	−	1133.40i	−0.0559631	−	0.0559631i	−0.734534	+	0.678571i	$0.762599\pi$
$744$	2694.80	−	6052.61i	0.132790	−	0.298252i
$745$	−6676.40	+	5969.46i	−0.328328	+	0.293563i
$746$	−15777.6	+	7024.62i	−0.774340	+	0.344758i
$747$	−2840.19	+	2299.94i	−0.139113	+	0.112651i
$748$	−6292.96	−	12350.6i	−0.307611	−	0.603721i
$749$	−20367.6	−	13504.2i	−0.993613	−	0.658788i
$750$	27503.6	+	9255.43i	1.33905	+	0.450614i
$751$	819.087	+	1418.70i	0.0397988	+	0.0689336i	0.885239	−	0.465137i	$-0.153995\pi$
$751$	819.087	+	1418.70i	0.0397988	+	0.0689336i	−0.845440	+	0.534071i	$0.820662\pi$
$752$	126.019	−	2404.59i	0.00611096	−	0.116604i
$753$	30975.1	+	11890.2i	1.49906	+	0.575437i
$754$	−4066.40	+	38689.2i	−0.196405	+	1.86867i
$755$	−288.541	+	877.621i	−0.0139087	+	0.0423045i
$756$	6655.77	+	10465.7i	0.320196	+	0.503484i
$757$	−26296.9	+	26296.9i	−1.26258	+	1.26258i	−0.312748	+	0.949836i	$0.601250\pi$
$757$	−26296.9	+	26296.9i	−1.26258	+	1.26258i	−0.949836	+	0.312748i	$0.898750\pi$
$758$	7682.76	+	20014.3i	0.368140	+	0.959039i
$759$	−5141.52	−	1092.86i	−0.245883	−	0.0522641i
$760$	2911.98	+	1129.46i	0.138985	+	0.0539078i
$761$	−15.7664	−	74.1751i	−0.000751028	−	0.00353331i	0.977770	−	0.209678i	$-0.0672416\pi$
$761$	−15.7664	−	74.1751i	−0.000751028	−	0.00353331i	−0.978522	+	0.206145i	$0.933908\pi$
$762$	23499.2	−	46119.7i	1.11717	−	2.19257i
$763$	9111.38	−	15440.1i	0.432312	−	0.732596i
$764$	−11215.0	−	3643.96i	−0.531077	−	0.172557i
$765$	−3002.32	+	1140.49i	−0.141894	+	0.0539015i
$766$	−8345.00	+	39260.1i	−0.393626	+	1.85186i
$767$	8269.69	+	6696.66i	0.389311	+	0.315258i
$768$	−29393.4	−

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

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

\(f(q)\)	\(=\)	\(q+(1.99423 - 3.07084i) q^{2} +(2.03228 - 5.29426i) q^{3} +(-2.19922 - 4.93952i) q^{4} +(-10.9441 + 2.28640i) q^{5} +(-12.2050 - 16.7988i) q^{6} +(-17.5585 - 5.89045i) q^{7} +(9.37758 + 1.48526i) q^{8} +(-3.83417 - 3.45230i) q^{9} +(-14.8038 + 38.1670i) q^{10} +(-30.8098 - 34.2178i) q^{11} +(-30.6206 + 1.60476i) q^{12} +(-34.9937 - 17.8302i) q^{13} +(-53.1043 + 42.1726i) q^{14} +(-10.1366 + 62.5873i) q^{15} +(52.2058 - 57.9805i) q^{16} +(-35.0386 + 43.2690i) q^{17} +(-18.2476 + 4.88944i) q^{18} +(-26.8797 - 11.9676i) q^{19} +(35.3621 + 49.0301i) q^{20} +(-66.8694 + 80.9886i) q^{21} +(-166.519 + 26.3740i) q^{22} +(16.8829 + 10.9639i) q^{23} +(26.9212 - 46.6289i) q^{24} +(114.545 - 50.0450i) q^{25} +(-124.539 + 71.9027i) q^{26} +(110.357 - 56.2297i) q^{27} +(9.51908 + 99.6853i) q^{28} +(159.008 - 218.856i) q^{29} +(171.981 + 155.941i) q^{30} +(122.378 - 12.8624i) q^{31} +(-54.2796 - 202.574i) q^{32} +(-243.772 + 93.5754i) q^{33} +(62.9974 + 193.886i) q^{34} +(205.630 + 24.3195i) q^{35} +(-8.62054 + 26.5313i) q^{36} +(0.767048 + 14.6361i) q^{37} +(-90.3549 + 58.6771i) q^{38} +(-165.515 + 149.030i) q^{39} +(-106.025 + 5.18611i) q^{40} +(-8.43713 + 2.74139i) q^{41} +(115.350 + 366.855i) q^{42} +(-140.993 - 140.993i) q^{43} +(-101.262 + 227.438i) q^{44} +(49.8547 + 29.0157i) q^{45} +(67.3365 - 29.9801i) q^{46} +(23.9845 - 19.4223i) q^{47} +(-200.867 - 394.224i) q^{48} +(273.605 + 206.855i) q^{49} +(74.7480 - 451.549i) q^{50} +(157.870 + 273.438i) q^{51} +(-11.1139 + 212.065i) q^{52} +(-452.467 - 173.686i) q^{53} +(47.4044 - 451.023i) q^{54} +(415.420 + 304.038i) q^{55} +(-155.908 - 81.3172i) q^{56} +(-117.987 + 117.987i) q^{57} +(-354.973 - 924.736i) q^{58} +(-265.022 - 56.3321i) q^{59} +(331.444 - 87.5734i) q^{60} +(-57.1874 - 269.045i) q^{61} +(204.550 - 401.453i) q^{62} +(46.9868 + 83.2023i) q^{63} +(-136.704 - 44.4177i) q^{64} +(423.741 + 115.125i) q^{65} +(-198.782 + 935.195i) q^{66} +(-276.485 - 223.893i) q^{67} +(290.786 + 77.9158i) q^{68} +(92.3563 - 67.1008i) q^{69} +(484.753 - 582.957i) q^{70} +(562.908 + 408.976i) q^{71} +(-30.8276 - 38.0690i) q^{72} +(-868.150 - 45.4978i) q^{73} +(46.4749 + 26.8323i) q^{74} +(-32.1647 - 708.135i) q^{75} +159.092i q^{76} +(339.418 + 782.298i) q^{77} +(127.574 + 805.469i) q^{78} +(1222.74 + 128.515i) q^{79} +(-438.777 + 753.905i) q^{80} +(-87.9799 - 837.073i) q^{81} +(-8.40718 + 31.3760i) q^{82} +(110.810 - 699.629i) q^{83} +(547.105 + 152.192i) q^{84} +(284.534 - 553.651i) q^{85} +(-714.141 + 151.795i) q^{86} +(-835.532 - 1286.61i) q^{87} +(-238.099 - 366.641i) q^{88} +(-538.578 + 114.478i) q^{89} +(188.524 - 95.2317i) q^{90} +(509.412 + 519.201i) q^{91} +(17.0272 - 107.505i) q^{92} +(180.608 - 674.040i) q^{93} +(-11.8121 - 112.385i) q^{94} +(321.536 + 69.5165i) q^{95} +(-1182.79 - 124.316i) q^{96} +(193.365 + 1220.86i) q^{97} +(1180.85 - 427.681i) q^{98} +237.561i 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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