LMFDB - Embedded newform 175.4.x.a.103.9

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

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

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

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

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

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

chi := DirichletCharacter("175.3");

S:= CuspForms(chi, 4);

N := Newforms(S);

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

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$10.3253342510$
Analytic rank:	$0$
Dimension:	$928$
Relative dimension:	$58$ over $\Q(\zeta_{60})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label			103.9
Character	$\chi$	$=$	175.103
Dual form			175.4.x.a.17.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-4.23585 - 0.221992i) q^{2} +(-3.57431 - 4.41391i) q^{3} +(9.93698 + 1.04442i) q^{4} +(11.1581 + 0.705047i) q^{5} +(14.1604 + 19.4901i) q^{6} +(17.1314 + 7.03669i) q^{7} +(-8.34419 - 1.32159i) q^{8} +(-1.09326 + 5.14337i) q^{9} +(-47.1075 - 5.46348i) q^{10} +(-65.1456 + 13.8471i) q^{11} +(-30.9079 - 47.5940i) q^{12} +(-2.69963 - 1.37553i) q^{13} +(-71.0040 - 33.6094i) q^{14} +(-36.7705 - 51.7708i) q^{15} +(-43.1356 - 9.16876i) q^{16} +(49.9650 + 130.163i) q^{17} +(5.77266 - 21.5438i) q^{18} +(3.14455 + 29.9184i) q^{19} +(110.141 + 18.6598i) q^{20} +(-30.1737 - 100.768i) q^{21} +(279.021 - 44.1926i) q^{22} +(3.34730 - 63.8704i) q^{23} +(23.9914 + 41.5543i) q^{24} +(124.006 + 15.7340i) q^{25} +(11.1299 + 6.42583i) q^{26} +(-110.026 + 56.0611i) q^{27} +(162.885 + 87.8158i) q^{28} +(-80.3234 + 110.556i) q^{29} +(144.262 + 227.456i) q^{30} +(-54.6424 + 122.729i) q^{31} +(245.963 + 65.9057i) q^{32} +(293.971 + 238.053i) q^{33} +(-182.749 - 562.444i) q^{34} +(186.193 + 90.5944i) q^{35} +(-16.2355 + 49.9677i) q^{36} +(67.4062 - 43.7741i) q^{37} +(-6.67822 - 127.428i) q^{38} +(3.57785 + 16.8325i) q^{39} +(-92.1734 - 20.6295i) q^{40} +(157.315 - 51.1147i) q^{41} +(105.442 + 433.535i) q^{42} +(52.0680 + 52.0680i) q^{43} +(-661.813 + 69.5594i) q^{44} +(-15.8250 + 56.6193i) q^{45} +(-28.3574 + 269.802i) q^{46} +(267.615 + 102.728i) q^{47} +(113.710 + 223.169i) q^{48} +(243.970 + 241.097i) q^{49} +(-521.777 - 94.1750i) q^{50} +(395.938 - 685.785i) q^{51} +(-25.3895 - 16.4882i) q^{52} +(-499.029 + 404.106i) q^{53} +(478.499 - 213.042i) q^{54} +(-736.663 + 108.577i) q^{55} +(-133.648 - 81.3562i) q^{56} +(120.817 - 120.817i) q^{57} +(364.781 - 450.466i) q^{58} +(-558.275 + 620.028i) q^{59} +(-311.317 - 552.849i) q^{60} +(557.851 - 502.292i) q^{61} +(258.702 - 507.731i) q^{62} +(-54.9213 + 80.4202i) q^{63} +(-691.707 - 224.749i) q^{64} +(-29.1529 - 17.2516i) q^{65} +(-1192.37 - 1073.61i) q^{66} +(698.083 - 267.969i) q^{67} +(360.556 + 1345.61i) q^{68} +(-293.882 + 213.518i) q^{69} +(-768.573 - 425.078i) q^{70} +(248.754 + 180.730i) q^{71} +(15.9198 - 41.4724i) q^{72} +(360.587 - 555.255i) q^{73} +(-295.240 + 170.457i) q^{74} +(-373.787 - 603.588i) q^{75} +300.583i q^{76} +(-1213.47 - 221.189i) q^{77} +(-11.4186 - 72.0941i) q^{78} +(101.906 + 228.884i) q^{79} +(-474.847 - 132.719i) q^{80} +(770.415 + 343.011i) q^{81} +(-677.709 + 181.592i) q^{82} +(78.0327 - 492.679i) q^{83} +(-194.592 - 1032.84i) q^{84} +(465.743 + 1487.60i) q^{85} +(-208.994 - 232.111i) q^{86} +(775.083 - 40.6204i) q^{87} +(561.888 - 29.4473i) q^{88} +(377.160 + 418.879i) q^{89} +(79.6012 - 236.318i) q^{90} +(-36.5693 - 42.5612i) q^{91} +(99.9695 - 631.183i) q^{92} +(737.022 - 197.485i) q^{93} +(-1110.77 - 494.548i) q^{94} +(13.9933 + 336.049i) q^{95} +(-588.248 - 1321.23i) q^{96} +(162.001 + 1022.84i) q^{97} +(-979.900 - 1075.41i) q^{98} -350.206i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 928 q - 8 q^{2} - 24 q^{3} - 10 q^{4} - 24 q^{7} + 84 q^{8} - 10 q^{9} - 96 q^{10} - 6 q^{11} - 72 q^{12} - 20 q^{14} - 368 q^{15} - 1670 q^{16} + 120 q^{17} - 14 q^{18} - 30 q^{19} - 12 q^{21} - 880 q^{22}+ \cdots - 19478 q^{98}+O(q^{100}) $ 928 * q - 8 * q^2 - 24 * q^3 - 10 * q^4 - 24 * q^7 + 84 * q^8 - 10 * q^9 - 96 * q^10 - 6 * q^11 - 72 * q^12 - 20 * q^14 - 368 * q^15 - 1670 * q^16 + 120 * q^17 - 14 * q^18 - 30 * q^19 - 12 * q^21 - 880 * q^22 + 296 * q^23 + 32 * q^25 - 48 * q^26 + 226 * q^28 - 200 * q^29 - 38 * q^30 - 18 * q^31 - 964 * q^32 - 1092 * q^33 + 288 * q^35 + 7400 * q^36 - 392 * q^37 + 5424 * q^38 + 2430 * q^39 + 2172 * q^40 - 2098 * q^42 + 1560 * q^43 - 10 * q^44 - 4224 * q^45 - 6 * q^46 + 96 * q^47 + 6232 * q^50 - 16 * q^51 - 8928 * q^52 - 2384 * q^53 - 30 * q^54 + 244 * q^56 + 1556 * q^57 + 640 * q^58 + 4890 * q^59 + 3676 * q^60 - 18 * q^61 + 224 * q^63 - 9700 * q^64 - 1116 * q^65 - 2610 * q^66 - 2404 * q^67 - 13614 * q^68 - 1700 * q^70 - 24 * q^71 - 518 * q^72 - 4200 * q^73 - 16104 * q^75 - 722 * q^77 - 356 * q^78 - 10 * q^79 + 6414 * q^80 - 6810 * q^81 + 1692 * q^82 + 20620 * q^84 + 2712 * q^85 - 6 * q^86 + 9102 * q^87 + 1650 * q^88 + 20370 * q^89 - 12 * q^91 + 1612 * q^92 - 4604 * q^93 - 30 * q^94 + 1652 * q^95 - 2610 * q^96 - 19478 * q^98

Character values

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

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

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−4.23585	−	0.221992i	−1.49760	−	0.0784859i	−0.714173	−	0.699970i	$-0.753197\pi$
$2$	−4.23585	−	0.221992i	−1.49760	−	0.0784859i	−0.783427	+	0.621484i	$0.786530\pi$
$3$	−3.57431	−	4.41391i	−0.687877	−	0.849457i	0.306878	−	0.951749i	$-0.400716\pi$
$3$	−3.57431	−	4.41391i	−0.687877	−	0.849457i	−0.994754	+	0.102292i	$0.967382\pi$
$4$	9.93698	+	1.04442i	1.24212	+	0.130552i
$5$	11.1581	+	0.705047i	0.998010	+	0.0630614i
$5$	11.1581	+	0.705047i	0.998010	+	0.0630614i
$6$	14.1604	+	19.4901i	0.963493	+	1.32613i
$7$	17.1314	+	7.03669i	0.925009	+	0.379945i
$7$	17.1314	+	7.03669i	0.925009	+	0.379945i
$8$	−8.34419	−	1.32159i	−0.368765	−	0.0584066i
$9$	−1.09326	+	5.14337i	−0.0404910	+	0.190495i
$10$	−47.1075	−	5.46348i	−1.48967	−	0.172770i
$11$	−65.1456	+	13.8471i	−1.78565	+	0.379551i	−0.977751	−	0.209770i	$-0.932728\pi$
$11$	−65.1456	+	13.8471i	−1.78565	+	0.379551i	−0.807899	+	0.589322i	$0.799395\pi$
$12$	−30.9079	−	47.5940i	−0.743529	−	1.14493i
$13$	−2.69963	−	1.37553i	−0.0575956	−	0.0293464i	0.424956	−	0.905214i	$-0.360290\pi$
$13$	−2.69963	−	1.37553i	−0.0575956	−	0.0293464i	−0.482551	+	0.875868i	$0.660290\pi$
$14$	−71.0040	−	33.6094i	−1.35547	−	0.641606i
$15$	−36.7705	−	51.7708i	−0.632939	−	0.891144i
$16$	−43.1356	−	9.16876i	−0.673994	−	0.143262i
$17$	49.9650	+	130.163i	0.712841	+	1.85701i	0.453618	+	0.891196i	$0.350133\pi$
$17$	49.9650	+	130.163i	0.712841	+	1.85701i	0.259223	+	0.965818i	$0.416534\pi$
$18$	5.77266	−	21.5438i	0.0755905	−	0.282107i
$19$	3.14455	+	29.9184i	0.0379689	+	0.361250i	0.996966	+	0.0778350i	$0.0248007\pi$
$19$	3.14455	+	29.9184i	0.0379689	+	0.361250i	−0.958997	+	0.283415i	$0.908533\pi$
$20$	110.141	+	18.6598i	1.23142	+	0.208622i
$21$	−30.1737	−	100.768i	−0.313545	−	1.04711i
$22$	279.021	−	44.1926i	2.70398	−	0.428268i
$23$	3.34730	−	63.8704i	0.0303461	−	0.579039i	−0.940567	−	0.339608i	$-0.889706\pi$
$23$	3.34730	−	63.8704i	0.0303461	−	0.579039i	0.970913	−	0.239431i	$-0.0769610\pi$
$24$	23.9914	+	41.5543i	0.204051	+	0.353426i
$25$	124.006	+	15.7340i	0.992047	+	0.125872i
$26$	11.1299	+	6.42583i	0.0839518	+	0.0484696i
$27$	−110.026	+	56.0611i	−0.784242	+	0.399591i
$28$	162.885	+	87.8158i	1.09937	+	0.592701i
$29$	−80.3234	+	110.556i	−0.514334	+	0.707920i	−0.984643	−	0.174582i	$-0.944143\pi$
$29$	−80.3234	+	110.556i	−0.514334	+	0.707920i	0.470309	+	0.882502i	$0.344143\pi$
$30$	144.262	+	227.456i	0.877948	+	1.38425i
$31$	−54.6424	+	122.729i	−0.316583	+	0.711056i	−0.999817	−	0.0191432i	$-0.993906\pi$
$31$	−54.6424	+	122.729i	−0.316583	+	0.711056i	0.683234	+	0.730199i	$0.260573\pi$
$32$	245.963	+	65.9057i	1.35877	+	0.364081i
$33$	293.971	+	238.053i	1.55072	+	1.25575i
$34$	−182.749	−	562.444i	−0.921801	−	2.83701i
$35$	186.193	+	90.5944i	0.899208	+	0.437522i
$36$	−16.2355	+	49.9677i	−0.0751644	+	0.231332i
$37$	67.4062	−	43.7741i	0.299500	−	0.194498i	−0.386136	−	0.922442i	$-0.626191\pi$
$37$	67.4062	−	43.7741i	0.299500	−	0.194498i	0.685637	+	0.727944i	$0.259524\pi$
$38$	−6.67822	−	127.428i	−0.0285092	−	0.543988i
$39$	3.57785	+	16.8325i	0.0146901	+	0.0691116i
$40$	−92.1734	−	20.6295i	−0.364347	−	0.0815451i
$41$	157.315	−	51.1147i	0.599230	−	0.194702i	0.00633322	−	0.999980i	$-0.497984\pi$
$41$	157.315	−	51.1147i	0.599230	−	0.194702i	0.592897	+	0.805278i	$0.297984\pi$
$42$	105.442	+	433.535i	0.387381	+	1.59276i
$43$	52.0680	+	52.0680i	0.184658	+	0.184658i	0.793382	−	0.608724i	$-0.208318\pi$
$43$	52.0680	+	52.0680i	0.184658	+	0.184658i	−0.608724	+	0.793382i	$0.708318\pi$
$44$	−661.813	+	69.5594i	−2.26755	+	0.238329i
$45$	−15.8250	+	56.6193i	−0.0524233	+	0.187563i
$46$	−28.3574	+	269.802i	−0.0908928	+	0.864787i
$47$	267.615	+	102.728i	0.830545	+	0.318816i	0.736235	−	0.676726i	$-0.236602\pi$
$47$	267.615	+	102.728i	0.830545	+	0.318816i	0.0943107	+	0.995543i	$0.469935\pi$
$48$	113.710	+	223.169i	0.341930	+	0.671075i
$49$	243.970	+	241.097i	0.711283	+	0.702906i
$50$	−521.777	−	94.1750i	−1.47581	−	0.266367i
$51$	395.938	−	685.785i	1.08711	−	1.88292i
$52$	−25.3895	−	16.4882i	−0.0677095	−	0.0439711i
$53$	−499.029	+	404.106i	−1.29334	+	1.04732i	−0.297638	+	0.954679i	$0.596199\pi$
$53$	−499.029	+	404.106i	−1.29334	+	1.04732i	−0.995699	+	0.0926451i	$0.970468\pi$
$54$	478.499	−	213.042i	1.20584	−	0.536875i
$55$	−736.663	+	108.577i	−1.80603	+	0.266191i
$56$	−133.648	−	81.3562i	−0.318919	−	0.194137i
$57$	120.817	−	120.817i	0.280748	−	0.280748i
$58$	364.781	−	450.466i	0.825828	−	1.01981i
$59$	−558.275	+	620.028i	−1.23189	+	1.36815i	−0.325586	+	0.945513i	$0.605561\pi$
$59$	−558.275	+	620.028i	−1.23189	+	1.36815i	−0.906300	+	0.422635i	$0.861105\pi$
$60$	−311.317	−	552.849i	−0.669848	−	1.18954i
$61$	557.851	−	502.292i	1.17091	−	1.05429i	0.173323	−	0.984865i	$-0.444549\pi$
$61$	557.851	−	502.292i	1.17091	−	1.05429i	0.997587	−	0.0694275i	$-0.0221172\pi$
$62$	258.702	−	507.731i	0.529922	−	1.04003i
$63$	−54.9213	+	80.4202i	−0.109832	+	0.160825i
$64$	−691.707	−	224.749i	−1.35099	−	0.438963i
$65$	−29.1529	−	17.2516i	−0.0556303	−	0.0329200i
$66$	−1192.37	−	1073.61i	−2.22380	−	2.00232i
$67$	698.083	−	267.969i	1.27290	−	0.488621i	0.374268	−	0.927320i	$-0.377894\pi$
$67$	698.083	−	267.969i	1.27290	−	0.488621i	0.898634	+	0.438699i	$0.144561\pi$
$68$	360.556	+	1345.61i	0.642998	+	2.39970i
$69$	−293.882	+	213.518i	−0.512743	+	0.372530i
$70$	−768.573	−	425.078i	−1.31231	−	0.725807i
$71$	248.754	+	180.730i	0.415798	+	0.302095i	0.775945	−	0.630801i	$-0.217273\pi$
$71$	248.754	+	180.730i	0.415798	+	0.302095i	−0.360147	+	0.932896i	$0.617273\pi$
$72$	15.9198	−	41.4724i	0.0260578	−	0.0678829i
$73$	360.587	−	555.255i	0.578130	−	0.890242i	−0.421734	−	0.906720i	$-0.638578\pi$
$73$	360.587	−	555.255i	0.578130	−	0.890242i	0.999864	+	0.0164771i	$0.00524506\pi$
$74$	−295.240	+	170.457i	−0.463797	+	0.267773i
$75$	−373.787	−	603.588i	−0.575483	−	0.929285i
$76$			300.583i			0.453674i
$77$	−1213.47	−	221.189i	−1.79595	−	0.327361i
$78$	−11.4186	−	72.0941i	−0.0165757	−	0.104655i
$79$	101.906	+	228.884i	0.145130	+	0.325968i	0.971454	−	0.237227i	$-0.0762385\pi$
$79$	101.906	+	228.884i	0.145130	+	0.325968i	−0.826324	+	0.563195i	$0.809572\pi$
$80$	−474.847	−	132.719i	−0.663619	−	0.185480i
$81$	770.415	+	343.011i	1.05681	+	0.470522i
$82$	−677.709	+	181.592i	−0.912689	+	0.244554i
$83$	78.0327	−	492.679i	0.103195	−	0.651549i	−0.880818	−	0.473455i	$-0.843007\pi$
$83$	78.0327	−	492.679i	0.103195	−	0.651549i	0.984013	−	0.178094i	$-0.0569932\pi$
$84$	−194.592	−	1032.84i	−0.252758	−	1.34157i
$85$	465.743	+	1487.60i	0.594316	+	1.89827i
$86$	−208.994	−	232.111i	−0.262051	−	0.291037i
$87$	775.083	−	40.6204i	0.955146	−	0.0500571i
$88$	561.888	−	29.4473i	0.680653	−	0.0356715i
$89$	377.160	+	418.879i	0.449201	+	0.498889i	0.924631	−	0.380865i	$-0.124374\pi$
$89$	377.160	+	418.879i	0.449201	+	0.498889i	−0.475429	+	0.879754i	$0.657707\pi$
$90$	79.6012	−	236.318i	0.0932301	−	0.276779i
$91$	−36.5693	−	42.5612i	−0.0421264	−	0.0490289i
$92$	99.9695	−	631.183i	0.113289	−	0.715276i
$93$	737.022	−	197.485i	0.821781	−	0.220196i
$94$	−1110.77	−	494.548i	−1.21880	−	0.542646i
$95$	13.9933	+	336.049i	0.0151124	+	0.362925i
$96$	−588.248	−	1321.23i	−0.625394	−	1.40466i
$97$	162.001	+	1022.84i	0.169575	+	1.07065i	0.914820	+	0.403862i	$0.132332\pi$
$97$	162.001	+	1022.84i	0.169575	+	1.07065i	−0.745245	+	0.666790i	$0.767668\pi$
$98$	−979.900	−	1075.41i	−1.01005	−	1.10850i
$99$		−	350.206i		−	0.355526i
$100$	1215.81	+	285.862i	1.21581	+	0.285862i
$101$	−509.671	+	294.259i	−0.502121	+	0.289900i	−0.729589	−	0.683886i	$-0.760289\pi$
$101$	−509.671	+	294.259i	−0.502121	+	0.289900i	0.227468	+	0.973786i	$0.426955\pi$
$102$	−1829.37	+	2816.99i	−1.77583	+	2.73454i
$103$	−174.973	+	455.819i	−0.167384	+	0.436050i	−0.991457	−	0.130433i	$-0.958363\pi$
$103$	−174.973	+	455.819i	−0.167384	+	0.436050i	0.824073	+	0.566484i	$0.191697\pi$
$104$	20.7083	+	15.0455i	0.0195252	+	0.0141859i
$105$	−265.635	−	1145.65i	−0.246888	−	1.06480i
$106$	2203.52	−	1600.95i	2.01910	−	1.46696i
$107$	66.0424	+	246.473i	0.0596687	+	0.222687i	0.989321	−	0.145750i	$-0.0465596\pi$
$107$	66.0424	+	246.473i	0.0596687	+	0.222687i	−0.929653	+	0.368437i	$0.879893\pi$
$108$	−1151.88	+	442.165i	−1.02629	+	0.393957i
$109$	10.3733	+	9.34014i	0.00911541	+	0.00820756i	0.673676	−	0.739027i	$-0.264714\pi$
$109$	10.3733	+	9.34014i	0.00911541	+	0.00820756i	−0.664560	+	0.747235i	$0.731381\pi$
$110$	3144.50	−	296.382i	2.72560	−	0.256899i
$111$	−434.146	−	141.062i	−0.371237	−	0.120622i
$112$	−674.456	−	460.606i	−0.569019	−	0.388600i
$113$	−156.936	+	308.004i	−0.130649	+	0.256412i	−0.947059	−	0.321060i	$-0.895961\pi$
$113$	−156.936	+	308.004i	−0.130649	+	0.256412i	0.816410	+	0.577472i	$0.195961\pi$
$114$	−538.585	+	484.944i	−0.442484	+	0.398414i
$115$	82.3812	−	710.311i	0.0668007	−	0.575973i
$116$	−913.639	+	1014.70i	−0.731287	+	0.812176i
$117$	10.0262	−	12.3814i	0.00792245	−	0.00978341i
$118$	2502.41	−	2502.41i	1.95225	−	1.95225i
$119$	−59.9477	+	2581.47i	−0.0461798	+	1.98859i
$120$	238.400	+	480.581i	0.181357	+	0.365590i
$121$	2836.28	−	1262.79i	2.13094	−	0.948755i
$122$	−2474.48	+	2003.79i	−1.83630	+	1.48701i
$123$	−787.908	−	511.673i	−0.577587	−	0.375090i
$124$	−671.161	+	1162.48i	−0.486065	+	0.841888i
$125$	1372.57	+	262.991i	0.982134	+	0.188181i
$126$	250.491	−	328.456i	0.177107	−	0.232232i
$127$	415.931	+	816.310i	0.290613	+	0.570360i	0.989442	−	0.144928i	$-0.0462952\pi$
$127$	415.931	+	816.310i	0.290613	+	0.570360i	−0.698829	+	0.715289i	$0.746295\pi$
$128$	978.258	+	375.518i	0.675520	+	0.259308i
$129$	43.7161	−	415.931i	0.0298371	−	0.283881i
$130$	119.658	+	79.5471i	0.0807282	+	0.0536672i
$131$	−1917.23	+	201.509i	−1.27869	+	0.134396i	−0.719413	−	0.694583i	$-0.755589\pi$
$131$	−1917.23	+	201.509i	−1.27869	+	0.134396i	−0.559280	+	0.828979i	$0.688922\pi$
$132$	2672.55	+	2672.55i	1.76224	+	1.76224i
$133$	−156.656	+	534.672i	−0.102134	+	0.348586i
$134$	−3016.46	+	980.109i	−1.94465	+	0.631855i
$135$	−1267.21	+	547.961i	−0.807879	+	0.349340i
$136$	−244.895	−	1152.14i	−0.154409	−	0.726435i
$137$	−10.4619	−	199.624i	−0.00652422	−	0.124490i	−0.999950	−	0.0100106i	$-0.996813\pi$
$137$	−10.4619	−	199.624i	−0.00652422	−	0.124490i	0.993426	−	0.114479i	$-0.0365199\pi$
$138$	1292.24	−	839.191i	0.797122	−	0.517657i
$139$	243.712	−	750.067i	0.148715	−	0.457697i	−0.848755	−	0.528786i	$-0.822647\pi$
$139$	243.712	−	750.067i	0.148715	−	0.457697i	0.997470	+	0.0710891i	$0.0226475\pi$
$140$	1755.57	+	1094.70i	1.05981	+	0.660849i
$141$	−503.108	−	1548.41i	−0.300492	−	0.924819i
$142$	−1013.56	−	820.768i	−0.598989	−	0.485052i
$143$	194.916	+	52.2276i	0.113984	+	0.0305419i
$144$	94.3166	−	211.839i	0.0545814	−	0.122592i
$145$	−974.203	+	1176.96i	−0.557953	+	0.674076i
$146$	−1650.65	+	2271.93i	−0.935679	+	1.28785i
$147$	192.153	−	1938.62i	0.107813	−	1.08772i
$148$	715.533	−	364.582i	0.397408	−	0.202490i
$149$	1050.16	+	606.309i	0.577398	+	0.333361i	0.760099	−	0.649808i	$-0.225151\pi$
$149$	1050.16	+	606.309i	0.577398	+	0.333361i	−0.182701	+	0.983169i	$0.558484\pi$
$150$	1449.32	+	2639.69i	0.788907	+	1.43686i
$151$	−1463.51	−	2534.88i	−0.788735	−	1.36613i	−0.926742	−	0.375697i	$-0.877403\pi$
$151$	−1463.51	−	2534.88i	−0.788735	−	1.36613i	0.138008	−	0.990431i	$-0.455930\pi$
$152$	13.3011	−	253.801i	0.00709779	−	0.135434i
$153$	−724.102	+	114.687i	−0.382616	+	0.0606004i
$154$	5090.99	+	1206.30i	2.66392	+	0.631212i
$155$	−696.234	+	1330.89i	−0.360793	+	0.689677i
$156$	17.9729	+	171.001i	0.00922426	+	0.0877630i
$157$	28.8060	−	107.505i	0.0146431	−	0.0546489i	−0.958218	−	0.286040i	$-0.907661\pi$
$157$	28.8060	−	107.505i	0.0146431	−	0.0546489i	0.972861	+	0.231391i	$0.0743277\pi$
$158$	−380.848	−	992.143i	−0.191763	−	0.499561i
$159$	3567.37	+	758.268i	1.77931	+	0.378205i
$160$	2698.01	+	908.798i	1.33311	+	0.449042i
$161$	506.780	−	1070.64i	0.248074	−	0.524086i
$162$	−3187.22	−	1623.97i	−1.54575	−	0.787599i
$163$	624.010	+	960.892i	0.299854	+	0.461735i	0.956195	−	0.292729i	$-0.0945634\pi$
$163$	624.010	+	960.892i	0.299854	+	0.461735i	−0.656341	+	0.754464i	$0.727897\pi$
$164$	1616.62	−	343.623i	0.769737	−	0.163613i
$165$	3112.31	+	2863.48i	1.46844	+	1.35104i
$166$	−439.905	+	2069.59i	−0.205682	+	0.967660i
$167$	216.388	+	34.2725i	0.100267	+	0.0158808i	0.206366	−	0.978475i	$-0.433836\pi$
$167$	216.388	+	34.2725i	0.100267	+	0.0158808i	−0.106099	+	0.994356i	$0.533836\pi$
$168$	118.601	+	880.702i	0.0544660	+	0.404450i
$169$	−1285.97	−	1769.98i	−0.585329	−	0.805637i
$170$	−1642.58	−	6404.65i	−0.741060	−	2.88949i
$171$	−157.319	−	16.5349i	−0.0703538	−	0.00739448i
$172$	463.018	+	571.780i	0.205260	+	0.253476i
$173$	2664.68	+	139.650i	1.17105	+	0.0613722i	0.627922	−	0.778276i	$-0.283906\pi$
$173$	2664.68	+	139.650i	1.17105	+	0.0613722i	0.543130	+	0.839649i	$0.317239\pi$
$174$	−3292.16			−1.43435
$175$	2013.68	+	1142.14i	0.869828	+	0.493356i
$176$	2937.06			1.25789
$177$	4732.19	+	248.004i	2.00957	+	0.105317i
$178$	−1504.61	−	1858.04i	−0.633568	−	0.782392i
$179$	−3093.82	−	325.174i	−1.29186	−	0.135780i	−0.566451	−	0.824096i	$-0.691684\pi$
$179$	−3093.82	−	325.174i	−1.29186	−	0.135780i	−0.725411	+	0.688315i	$0.758350\pi$
$180$	−216.387	+	546.098i	−0.0896029	+	0.226132i
$181$	1560.27	+	2147.53i	0.640740	+	0.881904i	0.998655	−	0.0518508i	$-0.0165120\pi$
$181$	1560.27	+	2147.53i	0.640740	+	0.881904i	−0.357914	+	0.933754i	$0.616512\pi$
$182$	145.454	+	188.401i	0.0592404	+	0.0767319i
$183$	−4211.00	−	666.957i	−1.70102	−	0.269415i
$184$	−112.341	+	528.523i	−0.0450103	+	0.211757i
$185$	782.987	−	440.911i	0.311170	−	0.175224i
$186$	−3165.76	+	672.902i	−1.24798	+	0.265267i
$187$	−5057.39	−	7787.70i	−1.97772	−	3.04542i
$188$	2551.99	+	1300.31i	0.990017	+	0.504439i
$189$	−2279.38	+	186.186i	−0.877253	+	0.0716563i
$190$	15.3266	−	1426.56i	0.00585217	−	0.544703i
$191$	−2642.13	−	561.603i	−1.00093	−	0.212755i	−0.321830	−	0.946798i	$-0.604298\pi$
$191$	−2642.13	−	561.603i	−1.00093	−	0.212755i	−0.679103	+	0.734043i	$0.737631\pi$
$192$	1480.35	+	3856.45i	0.556434	+	1.44956i
$193$	−941.786	+	3514.79i	−0.351250	+	1.31088i	0.533889	+	0.845555i	$0.320730\pi$
$193$	−941.786	+	3514.79i	−0.351250	+	1.31088i	−0.885139	+	0.465328i	$0.845937\pi$
$194$	−459.152	−	4368.54i	−0.169924	−	1.61672i
$195$	28.0543	+	190.341i	0.0103026	+	0.0699005i
$196$	2172.52	+	2650.58i	0.791735	+	0.965955i
$197$	−1769.50	+	280.261i	−0.639958	+	0.101359i	−0.467977	−	0.883741i	$-0.655017\pi$
$197$	−1769.50	+	280.261i	−0.639958	+	0.101359i	−0.171981	+	0.985100i	$0.555017\pi$
$198$	−77.7428	+	1483.42i	−0.0279038	+	0.532435i
$199$	−1956.33	−	3388.46i	−0.696886	−	1.20704i	−0.969541	−	0.244931i	$-0.921235\pi$
$199$	−1956.33	−	3388.46i	−0.696886	−	1.20704i	0.272654	−	0.962112i	$-0.412099\pi$
$200$	−1013.93	−	295.172i	−0.358480	−	0.104359i
$201$	−3677.96	−	2123.47i	−1.29066	−	0.745164i
$202$	2224.22	−	1133.29i	0.774729	−	0.394744i
$203$	−2154.00	+	1328.76i	−0.744734	+	0.459413i
$204$	4650.68	−	6401.11i	1.59614	−	2.19690i
$205$	1791.37	−	459.428i	0.610316	−	0.156526i
$206$	842.346	−	1891.94i	0.284898	−	0.639892i
$207$	324.849	+	87.0431i	0.109075	+	0.0292266i
$208$	103.838	+	84.0866i	0.0346149	+	0.0280306i
$209$	−619.138	−	1905.51i	−0.204912	−	0.630655i
$210$	870.864	+	4911.77i	0.286168	+	1.61402i
$211$	−1222.38	+	3762.10i	−0.398825	+	1.22746i	0.527117	+	0.849793i	$0.323273\pi$
$211$	−1222.38	+	3762.10i	−0.398825	+	1.22746i	−0.925942	+	0.377665i	$0.876727\pi$
$212$	−5380.90	+	3494.39i	−1.74321	+	1.13206i
$213$	−91.3972	−	1743.96i	−0.0294011	−	0.561007i
$214$	−225.031	−	1058.69i	−0.0718821	−	0.338179i
$215$	544.269	+	617.690i	0.172646	+	0.195935i
$216$	992.168	−	322.375i	0.312539	−	0.101550i
$217$	−1799.70	+	1718.02i	−0.563004	+	0.537449i
$218$	−41.8662	−	41.8662i	−0.0130071	−	0.0130071i
$219$	−3739.69	+	393.058i	−1.15390	+	0.121280i
$220$	−7433.61	+	309.540i	−2.27806	+	0.0948598i
$221$	44.1565	−	420.121i	0.0134402	−	0.127875i
$222$	1807.66	+	693.896i	0.546497	+	0.209781i
$223$	−2268.46	−	4452.11i	−0.681200	−	1.33693i	−0.929707	−	0.368300i	$-0.879940\pi$
$223$	−2268.46	−	4452.11i	−0.681200	−	1.33693i	0.248507	−	0.968630i	$-0.420060\pi$
$224$	3749.94	+	2859.83i	1.11854	+	0.853036i
$225$	−216.496	+	620.606i	−0.0641469	+	0.183883i
$226$	733.131	−	1269.82i	0.215784	−	0.373749i
$227$	−1391.97	−	903.957i	−0.406997	−	0.264307i	0.324864	−	0.945761i	$-0.394681\pi$
$227$	−1391.97	−	903.957i	−0.406997	−	0.264307i	−0.731861	+	0.681454i	$0.761348\pi$
$228$	1326.74	−	1074.38i	0.385376	−	0.312072i
$229$	−191.340	+	85.1899i	−0.0552144	+	0.0245830i	−0.434158	−	0.900837i	$-0.642954\pi$
$229$	−191.340	+	85.1899i	−0.0552144	+	0.0245830i	0.378944	+	0.925420i	$0.376287\pi$
$230$	−506.638	+	2990.49i	−0.145246	+	0.857334i
$231$	3361.03	+	6146.76i	0.957313	+	1.75077i
$232$	816.343	−	816.343i	0.231015	−	0.231015i
$233$	846.340	−	1045.14i	0.237964	−	0.293861i	−0.644148	−	0.764901i	$-0.722788\pi$
$233$	846.340	−	1045.14i	0.237964	−	0.293861i	0.882112	+	0.471040i	$0.156121\pi$
$234$	−45.2182	+	50.2199i	−0.0126325	+	0.0140298i
$235$	2913.64	+	1334.93i	0.808787	+	0.370557i
$236$	−6195.14	+	5578.13i	−1.70877	+	1.53858i
$237$	646.031	−	1267.91i	0.177064	−	0.347508i
$238$	826.994	−	10921.4i	0.225235	−	2.97449i
$239$	4189.25	+	1361.17i	1.13381	+	0.368396i	0.815022	−	0.579430i	$-0.196725\pi$
$239$	4189.25	+	1361.17i	1.13381	+	0.368396i	0.318786	+	0.947827i	$0.396725\pi$
$240$	1111.44	+	2570.31i	0.298931	+	0.691302i
$241$	−2101.29	−	1892.01i	−0.561644	−	0.505707i	0.338695	−	0.940896i	$-0.390015\pi$
$241$	−2101.29	−	1892.01i	−0.561644	−	0.505707i	−0.900339	+	0.435190i	$0.856681\pi$
$242$	−12294.4	+	4719.37i	−3.26576	+	1.25361i
$243$	−376.757	−	1406.07i	−0.0994607	−	0.371192i
$244$	6067.96	−	4408.63i	1.59205	−	1.15670i
$245$	2552.25	+	2862.19i	0.665541	+	0.746361i
$246$	3223.87	+	2342.28i	0.835555	+	0.607066i
$247$	32.6645	−	85.0940i	0.00841455	−	0.0219207i
$248$	618.143	−	951.857i	0.158275	−	0.243722i
$249$	−2453.55	+	1416.56i	−0.624448	+	0.360525i
$250$	−5755.64	−	1418.69i	−1.45607	−	0.358903i
$251$		−	4488.21i		−	1.12866i	−0.825550	−	0.564329i	$-0.809135\pi$
$251$		−	4488.21i		−	1.12866i	0.825550	−	0.564329i	$-0.190865\pi$
$252$	−629.744	+	741.773i	−0.157421	+	0.185426i
$253$	666.359	+	4207.23i	0.165588	+	1.04548i
$254$	−1580.61	−	3550.10i	−0.390457	−	0.876980i
$255$	4901.42	−	7372.89i	1.20368	−	1.81062i
$256$	1255.00	+	558.764i	0.306397	+	0.136417i
$257$	3641.15	−	975.642i	0.883768	−	0.236805i	0.211736	−	0.977327i	$-0.432088\pi$
$257$	3641.15	−	975.642i	0.883768	−	0.236805i	0.672032	+	0.740522i	$0.265422\pi$
$258$	−277.508	+	1752.12i	−0.0669647	+	0.422798i
$259$	1462.79	−	275.596i	0.350939	−	0.0661184i
$260$	−271.674	−	201.877i	−0.0648019	−	0.0481534i
$261$	−480.814	−	533.999i	−0.114029	−	0.126642i
$262$	8165.82	−	427.952i	1.92552	−	0.100912i
$263$	5009.90	−	262.558i	1.17461	−	0.0615589i	0.544979	−	0.838450i	$-0.316538\pi$
$263$	5009.90	−	262.558i	1.17461	−	0.0615589i	0.629635	+	0.776891i	$0.283204\pi$
$264$	−2138.34	−	2374.87i	−0.498506	−	0.553647i
$265$	−5853.12	+	4157.21i	−1.35681	+	0.963680i
$266$	782.264	−	2230.01i	0.180315	−	0.514026i
$267$	500.805	−	3161.96i	0.114789	−	0.724751i
$268$	7216.72	−	1933.71i	1.64489	−	0.440747i
$269$	2011.97	+	895.786i	0.456029	+	0.203037i	0.621878	−	0.783114i	$-0.286370\pi$
$269$	2011.97	+	895.786i	0.456029	+	0.203037i	−0.165849	+	0.986151i	$0.553036\pi$
$270$	5489.34	−	2039.77i	1.23730	−	0.459765i
$271$	1891.25	+	4247.82i	0.423931	+	0.952164i	0.991652	+	0.128943i	$0.0411584\pi$
$271$	1891.25	+	4247.82i	0.423931	+	0.952164i	−0.567721	+	0.823221i	$0.692175\pi$
$272$	−961.836	−	6072.79i	−0.214411	−	1.35374i
$273$	−57.1512	+	313.540i	−0.0126701	+	0.0695103i
$274$			847.902i			0.186948i
$275$	−8296.31	+	692.126i	−1.81922	+	0.151770i
$276$	−3143.30	+	1814.79i	−0.685524	+	0.395788i
$277$	−2144.28	+	3301.90i	−0.465116	+	0.716216i	−0.990929	−	0.134384i	$-0.957094\pi$
$277$	−2144.28	+	3301.90i	−0.465116	+	0.716216i	0.525813	+	0.850600i	$0.323761\pi$
$278$	−1198.83	+	3123.07i	−0.258638	+	0.673774i
$279$	−571.501	−	415.220i	−0.122634	−	0.0890988i
$280$	−1433.90	−	1002.01i	−0.306042	−	0.213862i
$281$	−2165.26	+	1573.16i	−0.459675	+	0.333974i	−0.793404	−	0.608695i	$-0.791693\pi$
$281$	−2165.26	+	1573.16i	−0.459675	+	0.333974i	0.333729	+	0.942669i	$0.391693\pi$
$282$	1787.36	+	6670.51i	0.377431	+	1.40859i
$283$	−240.412	+	92.2855i	−0.0504983	+	0.0193845i	−0.383486	−	0.923547i	$-0.625277\pi$
$283$	−240.412	+	92.2855i	−0.0504983	+	0.0193845i	0.332988	+	0.942931i	$0.391943\pi$
$284$	2283.11	+	2055.72i	0.477033	+	0.429522i
$285$	1433.27	−	1262.91i	0.297894	−	0.262485i
$286$	−814.042	−	264.498i	−0.168305	−	0.0546857i
$287$	3054.70	+	231.309i	0.628269	+	0.0475740i
$288$	−607.878	+	1193.03i	−0.124374	+	0.244097i
$289$	−10794.9	+	9719.78i	−2.19721	+	1.97838i
$290$	4387.85	−	4769.16i	0.888495	−	0.965705i
$291$	3935.66	−	4370.99i	0.792826	−	0.880523i
$292$	4163.07	−	5140.96i	0.834332	−	1.03031i
$293$	897.201	−	897.201i	0.178891	−	0.178891i	−0.611981	−	0.790872i	$-0.709627\pi$
$293$	897.201	−	897.201i	0.178891	−	0.178891i	0.790872	+	0.611981i	$0.209627\pi$
$294$	−1244.29	+	8169.03i	−0.246831	+	1.62050i
$295$	−6666.43	+	6524.71i	−1.31571	+	1.28774i
$296$	−620.302	+	276.176i	−0.121805	+	0.0542311i
$297$	6391.43	−	5175.68i	1.24871	−	1.01119i
$298$	−4313.72	−	2801.36i	−0.838547	−	0.544559i
$299$	−96.8921	+	167.822i	−0.0187405	+	0.0324595i
$300$	−3083.92	−	6388.24i	−0.593500	−	1.22942i
$301$	525.612	+	1258.38i	0.100650	+	0.240970i
$302$	5636.50	+	11062.3i	1.07399	+	2.10782i
$303$	3120.56	+	1197.87i	0.591654	+	0.227115i
$304$	138.673	−	1319.38i	0.0261625	−	0.248920i
$305$	6578.69	−	5211.30i	1.23506	−	0.978355i
$306$	3092.65	−	325.050i	0.577761	−	0.0607252i
$307$	259.479	+	259.479i	0.0482385	+	0.0482385i	0.730815	−	0.682576i	$-0.239140\pi$
$307$	259.479	+	259.479i	0.0482385	+	0.0482385i	−0.682576	+	0.730815i	$0.739140\pi$
$308$	−11827.3	−	3465.32i	−2.18805	−	0.641088i
$309$	2637.35	−	856.927i	0.485545	−	0.157763i
$310$	3244.59	−	5482.91i	0.594453	−	1.00454i
$311$	388.116	+	1825.94i	0.0707653	+	0.332925i	0.999262	−	0.0384165i	$-0.0122313\pi$
$311$	388.116	+	1825.94i	0.0707653	+	0.332925i	−0.928496	+	0.371341i	$0.878898\pi$
$312$	−7.60866	−	145.182i	−0.00138063	−	0.0263439i
$313$	2102.89	−	1365.63i	0.379753	−	0.246614i	−0.340621	−	0.940201i	$-0.610637\pi$
$313$	2102.89	−	1365.63i	0.379753	−	0.246614i	0.720373	+	0.693587i	$0.243971\pi$
$314$	−145.883	+	448.983i	−0.0262187	+	0.0806929i
$315$	−669.517	+	858.614i	−0.119756	+	0.153579i
$316$	773.586	+	2380.85i	0.137714	+	0.423840i
$317$	−4459.70	−	3611.39i	−0.790162	−	0.639861i	0.146849	−	0.989159i	$-0.453087\pi$
$317$	−4459.70	−	3611.39i	−0.790162	−	0.639861i	−0.937012	+	0.349298i	$0.886420\pi$
$318$	−14942.5	−	4003.83i	−2.63501	−	0.706050i
$319$	3701.84	−	8314.47i	0.649728	−	1.45931i
$320$	−7559.66	−	2995.46i	−1.32062	−	0.523285i
$321$	851.855	−	1172.48i	0.148118	−	0.203867i
$322$	−2384.32	+	4422.55i	−0.412648	+	0.765401i
$323$	−3737.16	+	1904.18i	−0.643781	+	0.328023i
$324$	7297.35	+	4213.13i	1.25126	+	0.722416i
$325$	−313.127	−	213.050i	−0.0534436	−	0.0363626i
$326$	−2429.91	−	4208.72i	−0.412822	−	0.715029i
$327$	4.14919	−	79.1713i	0.000701684	−	0.0133889i
$328$	−1380.22	+	218.605i	−0.232347	+	0.0368001i
$329$	3861.75	+	3642.99i	0.647129	+	0.610470i
$330$	−12547.6	−	12820.2i	−2.09310	−	2.13857i
$331$	595.926	+	5669.86i	0.0989579	+	0.941521i	0.925526	+	0.378684i	$0.123623\pi$
$331$	595.926	+	5669.86i	0.0989579	+	0.941521i	−0.826568	+	0.562837i	$0.809710\pi$
$332$	1289.97	−	4814.24i	0.213242	−	0.795831i
$333$	151.454	+	394.551i	0.0249238	+	0.0649288i
$334$	−908.980	−	193.210i	−0.148914	−	0.0316526i
$335$	7978.21	−	2497.84i	1.30118	−	0.407378i
$336$	377.646	+	4623.34i	0.0613163	+	0.750666i
$337$	−3659.10	−	1864.40i	−0.591465	−	0.301367i	0.132522	−	0.991180i	$-0.457692\pi$
$337$	−3659.10	−	1864.40i	−0.591465	−	0.301367i	−0.723987	+	0.689814i	$0.757692\pi$
$338$	5054.25	+	7782.86i	0.813358	+	1.25246i
$339$	1920.44	−	408.202i	0.307681	−	0.0653996i
$340$	3074.40	+	15268.7i	0.490390	+	2.43547i
$341$	1860.27	−	8751.88i	0.295423	−	1.38986i
$342$	662.710	+	104.963i	0.104781	+	0.0165957i
$343$	2483.03	+	5847.07i	0.390877	+	0.920443i
$344$	−365.653	−	503.278i	−0.0573101	−	0.0788806i
$345$	−3429.70	+	2175.25i	−0.535215	+	0.339454i
$346$	−11256.2	−	1183.07i	−1.74895	−	0.183822i
$347$	4192.83	+	5177.72i	0.648654	+	0.801022i	0.990320	−	0.138800i	$-0.0443245\pi$
$347$	4192.83	+	5177.72i	0.648654	+	0.801022i	−0.341666	+	0.939821i	$0.610991\pi$
$348$	7744.42	+	405.868i	1.19294	+	0.0625195i
$349$	−7761.05			−1.19037			−0.595185	−	0.803588i	$-0.702921\pi$
$349$	−7761.05			−1.19037			−0.595185	+	0.803588i	$0.702921\pi$
$350$	−8276.10	−	5284.93i	−1.26393	−	0.807119i
$351$	374.143			0.0568954
$352$	−16936.0	−	887.580i	−2.56447	−	0.134398i
$353$	−4163.76	−	5141.81i	−0.627803	−	0.775272i	0.359667	−	0.933081i	$-0.382890\pi$
$353$	−4163.76	−	5141.81i	−0.627803	−	0.775272i	−0.987470	+	0.157809i	$0.949557\pi$
$354$	−19989.8	−	2101.01i	−3.00126	−	0.315445i
$355$	2648.19	+	2191.99i	0.395920	+	0.327714i
$356$	3310.35	+	4556.31i	0.492832	+	0.678325i
$357$	11608.6	−	8962.37i	1.72099	−	1.32868i
$358$	13032.8	+	2064.19i	1.92404	+	0.304737i
$359$	−93.0009	+	437.535i	−0.0136724	+	0.0643237i	−0.984455	−	0.175637i	$-0.943801\pi$
$359$	−93.0009	+	437.535i	−0.0136724	+	0.0643237i	0.970782	+	0.239961i	$0.0771347\pi$
$360$	206.874	−	451.528i	0.0302867	−	0.0661046i
$361$	5823.89	−	1237.91i	0.849088	−	0.180479i
$362$	−6132.34	−	9442.98i	−0.890356	−	1.37103i
$363$	−15711.6	−	8005.46i	−2.27175	−	1.15751i
$364$	−318.936	−	461.124i	−0.0459253	−	0.0663996i
$365$	4414.94	−	5941.35i	0.633119	−	0.852013i
$366$	17689.1	+	3759.94i	2.52630	+	0.536981i
$367$	1179.18	+	3071.88i	0.167719	+	0.436923i	0.991520	−	0.129957i	$-0.0414838\pi$
$367$	1179.18	+	3071.88i	0.167719	+	0.436923i	−0.823801	+	0.566880i	$0.808150\pi$
$368$	−730.000	+	2724.40i	−0.103407	+	0.385921i
$369$	90.9161	+	865.009i	0.0128263	+	0.122034i
$370$	−3414.50	+	1693.82i	−0.479760	+	0.237993i
$371$	−11392.6	+	3411.39i	−1.59427	+	0.477386i
$372$	7530.03	−	1192.64i	1.04950	−	0.166224i
$373$	−709.162	+	13531.6i	−0.0984425	+	1.87839i	0.290146	+	0.956982i	$0.406296\pi$
$373$	−709.162	+	13531.6i	−0.0984425	+	1.87839i	−0.388588	+	0.921412i	$0.627037\pi$
$374$	19693.5	+	34110.2i	2.72280	+	4.71604i
$375$	−3745.19	−	6998.43i	−0.515736	−	0.963726i
$376$	−2097.26	−	1210.86i	−0.287655	−	0.166078i
$377$	368.916	−	187.972i	0.0503983	−	0.0256792i
$378$	9696.47	−	282.652i	1.31940	−	0.0384604i
$379$	3920.25	−	5395.76i	0.531318	−	0.731297i	−0.456012	−	0.889973i	$-0.650723\pi$
$379$	3920.25	−	5395.76i	0.531318	−	0.731297i	0.987331	+	0.158677i	$0.0507227\pi$
$380$	−211.925	+	3353.93i	−0.0286093	+	0.452771i
$381$	2116.45	−	4753.62i	0.284591	−	0.639201i
$382$	11067.0	+	2965.40i	1.48230	+	0.397181i
$383$	−2625.10	−	2125.77i	−0.350226	−	0.283607i	0.438023	−	0.898964i	$-0.355679\pi$
$383$	−2625.10	−	2125.77i	−0.350226	−	0.283607i	−0.788249	+	0.615356i	$0.789012\pi$
$384$	−1839.10	−	5660.16i	−0.244404	−	0.752197i
$385$	−13384.1	−	3323.60i	−1.77173	−	0.439964i
$386$	4769.52	−	14679.1i	0.628917	−	1.93561i
$387$	−324.729	+	210.881i	−0.0426534	+	0.0276995i
$388$	541.535	+	10333.1i	0.0708563	+	1.35202i
$389$	1711.89	+	8053.79i	0.223126	+	1.04973i	0.936967	+	0.349418i	$0.113621\pi$
$389$	1711.89	+	8053.79i	0.223126	+	1.04973i	−0.713841	+	0.700308i	$0.753046\pi$
$390$	−76.5798	−	812.483i	−0.00994300	−	0.105492i
$391$	8480.83	−	2755.59i	1.09692	−	0.356409i
$392$	−1717.10	−	2334.18i	−0.221242	−	0.300750i
$393$	7742.20	+	7742.20i	0.993747	+	0.993747i
$394$	7557.56	−	794.331i	0.966356	−	0.101568i
$395$	975.701	+	2625.76i	0.124286	+	0.334472i
$396$	365.762	−	3479.99i	0.0464147	−	0.441607i
$397$	−2852.67	−	1095.04i	−0.360634	−	0.138434i	0.171303	−	0.985218i	$-0.445202\pi$
$397$	−2852.67	−	1095.04i	−0.360634	−	0.138434i	−0.531937	+	0.846784i	$0.678536\pi$
$398$	7534.50	+	14787.3i	0.948921	+	1.86236i
$399$	2919.93	−	1219.62i	0.366364	−	0.153026i
$400$	−5204.81	−	1815.67i	−0.650601	−	0.226959i
$401$	5043.05	−	8734.82i	0.628025	−	1.08777i	−0.359922	−	0.932982i	$-0.617197\pi$
$401$	5043.05	−	8734.82i	0.628025	−	1.08777i	0.987948	−	0.154789i	$-0.0494698\pi$
$402$	15107.9	+	9811.18i	1.87441	+	1.21726i
$403$	316.331	−	256.160i	0.0391007	−	0.0316631i
$404$	−5371.93	+	2391.74i	−0.661543	+	0.294538i
$405$	8354.52	+	4370.52i	1.02504	+	0.536230i
$406$	9418.99	−	5150.28i	1.15137	−	0.629566i
$407$	−3785.07	+	3785.07i	−0.460981	+	0.460981i
$408$	−4210.11	+	5199.05i	−0.510861	+	0.630861i
$409$	−4439.04	+	4930.06i	−0.536666	+	0.596028i	−0.949106	−	0.314956i	$-0.898010\pi$
$409$	−4439.04	+	4930.06i	−0.536666	+	0.596028i	0.412440	+	0.910985i	$0.364677\pi$
$410$	−7689.97	+	1548.40i	−0.926294	+	0.186512i
$411$	−843.730	+	759.698i	−0.101261	+	0.0911755i
$412$	−2214.76	+	4346.72i	−0.264839	+	0.519776i
$413$	−13927.0	+	6693.53i	−1.65933	+	0.797499i
$414$	−1356.69	−	440.816i	−0.161057	−	0.0523307i
$415$	1218.06	−	5442.34i	0.144077	−	0.643744i
$416$	−573.355	−	516.251i	−0.0675746	−	0.0608444i
$417$	−4181.83	+	1605.25i	−0.491091	+	0.188512i
$418$	2199.57	+	8208.90i	0.257379	+	0.960551i
$419$	3112.59	−	2261.43i	0.362912	−	0.263671i	−0.391354	−	0.920240i	$-0.627993\pi$
$419$	3112.59	−	2261.43i	0.362912	−	0.263671i	0.754266	+	0.656569i	$0.227993\pi$
$420$	−1443.07	−	11661.7i	−0.167654	−	1.35484i
$421$	2830.04	+	2056.14i	0.327619	+	0.238029i	0.739420	−	0.673245i	$-0.235100\pi$
$421$	2830.04	+	2056.14i	0.327619	+	0.238029i	−0.411800	+	0.911274i	$0.635100\pi$
$422$	6012.98	−	15664.3i	0.693619	−	1.80694i
$423$	−820.938	+	1264.13i	−0.0943626	+	0.145306i
$424$	4698.05	−	2712.42i	0.538108	−	0.310677i
$425$	4147.97	+	16927.2i	0.473426	+	1.93197i
$426$			7407.46i			0.842471i
$427$	13091.2	−	4679.53i	1.48368	−	0.530348i
$428$	398.840	+	2518.18i	0.0450436	+	0.284394i
$429$	−466.163	−	1047.02i	−0.0524628	−	0.117833i
$430$	−2168.32	−	2737.27i	−0.243176	−	0.306983i
$431$	−7346.32	−	3270.79i	−0.821020	−	0.365542i	−0.0471515	−	0.998888i	$-0.515014\pi$
$431$	−7346.32	−	3270.79i	−0.821020	−	0.365542i	−0.773869	+	0.633346i	$0.781681\pi$
$432$	5260.05	−	1409.43i	0.585820	−	0.156970i
$433$	−166.411	+	1050.68i	−0.0184693	+	0.116611i	−0.995201	−	0.0978563i	$-0.968801\pi$
$433$	−166.411	+	1050.68i	−0.0184693	+	0.116611i	0.976731	+	0.214467i	$0.0688014\pi$
$434$	8004.67	−	6877.74i	0.885337	−	0.760696i
$435$	8677.09	+	93.2247i	0.956401	+	0.0102754i
$436$	93.3241	+	103.647i	0.0102509	+	0.0113848i
$437$	1921.43	−	100.698i	0.210330	−	0.0110229i
$438$	15928.0	−	834.754i	1.73761	−	0.0910641i
$439$	−7043.00	−	7822.04i	−0.765704	−	0.850400i	0.226631	−	0.973981i	$-0.427229\pi$
$439$	−7043.00	−	7822.04i	−0.765704	−	0.850400i	−0.992335	+	0.123581i	$0.960562\pi$
$440$	6290.35	+	67.5821i	0.681547	+	0.00732239i
$441$	−1506.77	+	991.247i	−0.162701	+	0.107035i
$442$	−280.304	+	1769.77i	−0.0301644	+	0.190451i
$443$	−7443.28	+	1994.42i	−0.798286	+	0.213900i	−0.634831	−	0.772651i	$-0.718930\pi$
$443$	−7443.28	+	1994.42i	−0.798286	+	0.213900i	−0.163455	+	0.986551i	$0.552264\pi$
$444$	−4166.77	−	1855.17i	−0.445374	−	0.198293i
$445$	3913.06	+	4939.81i	0.416847	+	0.526223i
$446$	8620.54	+	19362.1i	0.915234	+	2.05565i
$447$	−1077.40	−	6802.44i	−0.114003	−	0.719786i
$448$	−10268.4	−	8717.59i	−1.08290	−	0.919347i
$449$			847.947i			0.0891249i	0.999007	+	0.0445625i	$0.0141894\pi$
$449$			847.947i			0.0891249i	−0.999007	+	0.0445625i	$0.985811\pi$
$450$	1054.81	−	2580.74i	0.110499	−	0.270349i
$451$	−9540.58	+	5508.26i	−0.996116	+	0.575108i
$452$	−1881.15	+	2896.72i	−0.195757	+	0.301439i
$453$	−5957.66	+	15520.2i	−0.617915	+	1.60972i
$454$	5695.51	+	4138.03i	0.588775	+	0.427770i
$455$	−378.035	−	500.685i	−0.0389507	−	0.0515878i
$456$	−1167.79	+	848.453i	−0.119928	+	0.0871325i
$457$	−4086.18	−	15249.8i	−0.418257	−	1.56096i	−0.778220	−	0.627991i	$-0.783877\pi$
$457$	−4086.18	−	15249.8i	−0.418257	−	1.56096i	0.359963	−	0.932967i	$-0.382789\pi$
$458$	829.398	−	318.376i	0.0846184	−	0.0324820i
$459$	−12794.5	−	11520.3i	−1.30109	−	1.17150i
$460$	1560.48	−	6972.31i	0.158169	−	0.706708i
$461$	−13412.2	−	4357.90i	−1.35503	−	0.440277i	−0.460651	−	0.887581i	$-0.652384\pi$
$461$	−13412.2	−	4357.90i	−1.35503	−	0.440277i	−0.894382	+	0.447304i	$0.852384\pi$
$462$	−12872.3	−	26782.9i	−1.29626	−	2.69708i
$463$	−2393.15	+	4696.83i	−0.240215	+	0.471448i	−0.979367	−	0.202091i	$-0.935226\pi$
$463$	−2393.15	+	4696.83i	−0.240215	+	0.471448i	0.739152	+	0.673538i	$0.235226\pi$
$464$	4478.46	−	4032.42i	0.448076	−	0.403450i
$465$	8362.99	−	1683.91i	0.834031	−	0.167935i
$466$	−3816.98	+	4239.19i	−0.379439	+	0.421409i
$467$	6966.21	−	8602.56i	0.690274	−	0.852417i	−0.304711	−	0.952445i	$-0.598560\pi$
$467$	6966.21	−	8602.56i	0.690274	−	0.852417i	0.994985	+	0.100028i	$0.0318931\pi$
$468$	112.562	−	112.562i	0.0111179	−	0.0111179i
$469$	13844.8	+	321.507i	1.36310	+	0.0316542i
$470$	−12045.4	−	6301.35i	−1.18216	−	0.618425i
$471$	−577.481	+	257.111i	−0.0564945	+	0.0251530i
$472$	5477.78	−	4435.82i	0.534185	−	0.432574i
$473$	−4112.99	−	2671.01i	−0.399822	−	0.259647i
$474$	−3017.96	+	5227.25i	−0.292446	+	0.506531i
$475$	−80.7924	+	3759.53i	−0.00780423	+	0.363156i
$476$	−3291.83	+	25589.4i	−0.316977	+	2.46405i
$477$	−1532.90	−	3008.48i	−0.147142	−	0.288782i
$478$	−17442.9	−	6695.69i	−1.66908	−	0.640698i
$479$	−179.204	+	1705.01i	−0.0170940	+	0.162639i	−0.999739	−	0.0228590i	$-0.992723\pi$
$479$	−179.204	+	1705.01i	−0.0170940	+	0.162639i	0.982645	+	0.185498i	$0.0593898\pi$
$480$	−5632.20	−	15157.1i	−0.535570	−	1.44130i
$481$	−242.184	+	25.4546i	−0.0229577	+	0.00241295i
$482$	8480.76	+	8480.76i	0.801427	+	0.801427i
$483$	−6537.07	+	1589.90i	−0.615833	+	0.149779i
$484$	29502.9	−	9586.09i	2.77075	−	0.900271i
$485$	1086.48	+	11527.1i	0.101720	+	1.07921i
$486$	1283.75	+	6039.56i	0.119819	+	0.563704i
$487$	−168.141	−	3208.31i	−0.0156451	−	0.298527i	−0.995234	−	0.0975153i	$-0.968911\pi$
$487$	−168.141	−	3208.31i	−0.0156451	−	0.298527i	0.979589	−	0.201011i	$-0.0644228\pi$
$488$	−5318.64	+	3453.97i	−0.493368	+	0.320397i
$489$	2010.88	−	6188.85i	0.185961	−	0.572330i
$490$	−10175.6	−	12690.4i	−0.938135	−	1.16999i
$491$	−1802.78	−	5548.37i	−0.165699	−	0.509969i	0.833388	−	0.552688i	$-0.186398\pi$
$491$	−1802.78	−	5548.37i	−0.165699	−	0.509969i	−0.999087	+	0.0427193i	$0.986398\pi$
$492$	−7295.02	−	5907.39i	−0.668465	−	0.541313i
$493$	−18403.7	−	4931.24i	−1.68126	−	0.450491i
$494$	−157.252	+	353.194i	−0.0143221	+	0.0321679i
$495$	246.912	−	3907.63i	0.0224199	−	0.354818i
$496$	3482.30	−	4792.98i	0.315242	−	0.433894i
$497$	2989.76	+	4846.57i	0.269837	+	0.437421i
$498$	10707.3	−	5455.67i	0.963469	−	0.490912i
$499$	3319.33	+	1916.42i	0.297783	+	0.171925i	0.641446	−	0.767168i	$-0.278335\pi$
$499$	3319.33	+	1916.42i	0.297783	+	0.171925i	−0.343664	+	0.939093i	$0.611668\pi$
$500$	13364.6	+	4046.88i	1.19536	+	0.361964i
$501$	−622.163	−	1077.62i	−0.0554814	−	0.0960966i
$502$	−996.345	+	19011.4i	−0.0885837	+	1.69028i
$503$	11789.3	−	1867.24i	1.04504	−	0.165519i	0.389772	−	0.920911i	$-0.372554\pi$
$503$	11789.3	−	1867.24i	1.04504	−	0.165519i	0.655272	+	0.755393i	$0.272554\pi$
$504$	564.556	−	598.458i	0.0498955	−	0.0528917i
$505$	−5894.43	+	2924.02i	−0.519403	+	0.257658i
$506$	−1888.63	−	17969.1i	−0.165929	−	1.57870i
$507$	−3216.09	+	12002.6i	−0.281719	+	1.05139i
$508$	3280.53	+	8546.06i	0.286515	+	0.746398i
$509$	−1312.86	−	279.058i	−0.114325	−	0.0243006i	0.150394	−	0.988626i	$-0.451946\pi$
$509$	−1312.86	−	279.058i	−0.114325	−	0.0243006i	−0.264719	+	0.964326i	$0.585279\pi$
$510$	−22398.4	+	30142.4i	−1.94474	+	2.61711i
$511$	10084.5	−	6974.96i	0.873019	−	0.603824i
$512$	−12661.1	−	6451.17i	−1.09287	−	0.556844i
$513$	−2023.24	−	3115.52i	−0.174129	−	0.268135i
$514$	−15639.9	+	3324.37i	−1.34212	+	0.285276i
$515$	−2273.73	+	4962.70i	−0.194549	+	0.424627i
$516$	868.812	−	4087.44i	0.0741227	−	0.348720i
$517$	−18856.4	−	2986.56i	−1.60407	−	0.254060i
$518$	−6257.33	+	842.655i	−0.530756	+	0.0714752i
$519$	−8908.00	−	12260.8i	−0.753406	−	1.03697i
$520$	220.458	+	182.479i	0.0185917	+	0.0153889i
$521$	1532.21	+	161.041i	0.128843	+	0.0135419i	0.168730	−	0.985662i	$-0.446033\pi$
$521$	1532.21	+	161.041i	0.128843	+	0.0135419i	−0.0398875	+	0.999204i	$0.512700\pi$
$522$	1918.12	+	2368.68i	0.160831	+	0.198609i
$523$	−9696.58	−	508.176i	−0.810711	−	0.0424875i	−0.357525	−	0.933904i	$-0.616379\pi$
$523$	−9696.58	−	508.176i	−0.810711	−	0.0424875i	−0.453186	+	0.891416i	$0.649713\pi$
$524$	−19261.9			−1.60584
$525$	−2156.24	−	12970.5i	−0.179249	−	1.07825i
$526$	−21279.5			−1.76393
$527$	−18705.0	−	980.287i	−1.54611	−	0.0810284i
$528$	−10498.0	−	12963.9i	−0.865275	−	1.06853i
$529$	8032.13	+	844.211i	0.660157	+	0.0693853i
$530$	25715.8	−	16310.0i	2.10759	−	1.33672i
$531$	−2578.69	−	3549.26i	−0.210745	−	0.290066i
$532$	−2115.11	+	5149.41i	−0.172371	+	0.419652i
$533$	−495.001	−	78.4005i	−0.0402268	−	0.00637130i
$534$	−2823.26	+	13282.4i	−0.228791	+	1.07638i
$535$	563.131	+	2796.74i	0.0455071	+	0.226006i
$536$	−6179.09	+	1313.41i	−0.497940	+	0.105840i
$537$	9623.00	+	14818.1i	0.773302	+	1.19078i
$538$	−8323.55	−	4241.06i	−0.667014	−	0.339861i
$539$	−19232.1	−	12328.1i	−1.53689	−	0.985175i
$540$	−13164.5	+	4121.58i	−1.04909	+	0.328453i
$541$	−2453.19	−	521.442i	−0.194956	−	0.0414391i	0.109399	−	0.993998i	$-0.465107\pi$
$541$	−2453.19	−	521.442i	−0.194956	−	0.0414391i	−0.304354	+	0.952559i	$0.598441\pi$
$542$	−7068.07	−	18413.0i	−0.560147	−	1.45923i
$543$	3902.10	−	14562.8i	0.308389	−	1.15092i
$544$	3711.06	+	35308.4i	0.292482	+	2.78278i
$545$	109.161	+	111.532i	0.00857969	+	0.00876605i
$546$	311.687	−	1315.42i	0.0244304	−	0.103104i
$547$	5003.83	−	792.528i	0.391130	−	0.0619489i	0.0422278	−	0.999108i	$-0.486554\pi$
$547$	5003.83	−	792.528i	0.391130	−	0.0619489i	0.348902	+	0.937159i	$0.386554\pi$
$548$	104.532	−	1994.59i	0.00814852	−	0.155483i
$549$	1973.60	+	3418.37i	0.153426	+	0.265742i
$550$	35295.6	−	1090.03i	2.73638	−	0.0845075i
$551$	−3560.23	−	2055.50i	−0.275265	−	0.158924i
$552$	2734.39	−	1393.24i	0.210840	−	0.107428i
$553$	135.203	+	4638.19i	0.0103968	+	0.356665i
$554$	9815.84	−	13510.3i	0.752771	−	1.03610i
$555$	−4744.78	−	1880.08i	−0.362891	−	0.143793i
$556$	3205.14	−	7198.86i	0.244475	−	0.549101i
$557$	11688.6	+	3131.95i	0.889159	+	0.238249i	0.674354	−	0.738408i	$-0.264422\pi$
$557$	11688.6	+	3131.95i	0.889159	+	0.238249i	0.214804	+	0.976657i	$0.431089\pi$
$558$	2328.62	+	1885.68i	0.176664	+	0.143059i
$559$	−68.9432	−	212.185i	−0.00521643	−	0.0160545i
$560$	−7200.89	−	5615.00i	−0.543381	−	0.423709i
$561$	−16297.5	+	50158.5i	−1.22652	+	3.77485i
$562$	9520.96	−	6182.99i	0.714622	−	0.464081i
$563$	−587.026	−	11201.1i	−0.0439435	−	0.838492i	−0.928335	−	0.371745i	$-0.878759\pi$
$563$	−587.026	−	11201.1i	−0.0439435	−	0.838492i	0.884391	−	0.466746i	$-0.154574\pi$
$564$	−3382.19	−	15912.0i	−0.252510	−	1.18797i
$565$	−1968.26	+	3326.09i	−0.146558	+	0.247663i
$566$	1038.84	−	337.538i	0.0771476	−	0.0250668i
$567$	10784.6	+	11297.4i	0.798786	+	0.836768i
$568$	−1836.80	−	1836.80i	−0.135687	−	0.135687i
$569$	10771.9	−	1132.18i	0.793644	−	0.0834154i	0.300975	−	0.953632i	$-0.402688\pi$
$569$	10771.9	−	1132.18i	0.793644	−	0.0834154i	0.492669	+	0.870217i	$0.336021\pi$
$570$	−6351.49	+	5031.32i	−0.466727	+	0.369717i
$571$	1292.61	−	12298.4i	0.0947360	−	0.901353i	−0.839178	−	0.543856i	$-0.816964\pi$
$571$	1292.61	−	12298.4i	0.0947360	−	0.901353i	0.933914	−	0.357497i	$-0.116370\pi$
$572$	1882.33	+	722.559i	0.137595	+	0.0528177i
$573$	6964.95	+	13669.5i	0.507792	+	0.996598i
$574$	−12887.9	−	1657.91i	−0.937162	−	0.120557i
$575$	1420.02	−	7867.63i	0.102989	−	0.570614i
$576$	1912.18	−	3311.99i	0.138323	−	0.239583i
$577$	16863.7	+	10951.4i	1.21672	+	0.790146i	0.983258	−	0.182220i	$-0.0583284\pi$
$577$	16863.7	+	10951.4i	1.21672	+	0.790146i	0.233461	+	0.972366i	$0.424995\pi$
$578$	47883.3	−	38775.2i	3.44582	−	2.79037i
$579$	18880.2	−	8406.01i	1.35515	−	0.603354i
$580$	−10909.9	+	10677.9i	−0.781048	+	0.764444i
$581$	4803.64	−	7891.19i	0.343009	−	0.563480i
$582$	−17641.2	+	17641.2i	−1.25644	+	1.25644i
$583$	26913.8	−	33235.8i	1.91193	−	2.36104i
$584$	−3742.63	+	4156.61i	−0.265190	+	0.294523i
$585$	120.603	−	131.083i	0.00852363	−	0.00926433i
$586$	−3999.58	+	3601.24i	−0.281947	+	0.253867i
$587$	−1920.16	+	3768.53i	−0.135015	+	0.264981i	−0.948608	−	0.316453i	$-0.897508\pi$
$587$	−1920.16	+	3768.53i	−0.135015	+	0.264981i	0.813594	+	0.581434i	$0.197508\pi$
$588$	3934.15	−	19063.3i	0.275921	−	1.33700i
$589$	−3843.67	−	1248.89i	−0.268889	−	0.0873675i
$590$	29686.5	−	26157.8i	2.07148	−	1.82525i
$591$	7561.79	+	6808.67i	0.526312	+	0.473894i
$592$	−3308.96	+	1270.19i	−0.229726	+	0.0881834i
$593$	−4074.11	−	15204.8i	−0.282131	−	1.05293i	−0.950910	−	0.309466i	$-0.899850\pi$
$593$	−4074.11	−	15204.8i	−0.282131	−	1.05293i	0.668780	−	0.743461i	$-0.266817\pi$
$594$	−28222.1	+	20504.6i	−1.94944	+	1.41635i
$595$	−2488.96	+	28762.0i	−0.171491	+	1.98172i
$596$	9802.17	+	7121.69i	0.673678	+	0.489456i
$597$	−7963.82	+	20746.5i	−0.545959	+	1.42227i
$598$	447.676	−	689.360i	0.0306134	−	0.0471405i
$599$	−9585.15	+	5533.99i	−0.653821	+	0.377484i	−0.789919	−	0.613212i	$-0.789877\pi$
$599$	−9585.15	+	5533.99i	−0.653821	+	0.377484i	0.136098	+	0.990695i	$0.456544\pi$
$600$	2321.25	+	5530.45i	0.157941	+	0.376299i
$601$		−	10243.2i		−	0.695222i	−0.937639	−	0.347611i	$-0.886993\pi$
$601$		−	10243.2i		−	0.695222i	0.937639	−	0.347611i	$-0.113007\pi$
$602$	−1947.06	−	5447.01i	−0.131821	−	0.368777i
$603$	615.079	+	3883.46i	0.0415389	+	0.262266i
$604$	−11895.4	−	26717.5i	−0.801354	−	1.79987i
$605$	32537.8	−	12090.6i	2.18653	−	0.812487i
$606$	−12952.3	−	5766.73i	−0.868236	−	0.386564i
$607$	−14053.1	+	3765.51i	−0.939699	+	0.251792i	−0.695986	−	0.718056i	$-0.745032\pi$
$607$	−14053.1	+	3765.51i	−0.939699	+	0.251792i	−0.243713	+	0.969847i	$0.578366\pi$
$608$	−1198.35	+	7566.08i	−0.0799333	+	0.504679i
$609$	13564.1	+	4758.14i	0.902537	+	0.316600i
$610$	−29023.2	+	20613.9i	−1.92642	+	1.36825i
$611$	−581.156	−	645.439i	−0.0384796	−	0.0427359i
$612$	−7315.17	+	383.372i	−0.483167	+	0.0253217i
$613$	5355.65	−	280.678i	0.352875	−	0.0184934i	0.124925	−	0.992166i	$-0.460131\pi$
$613$	5355.65	−	280.678i	0.352875	−	0.0184934i	0.227950	+	0.973673i	$0.426798\pi$
$614$	−1041.51	−	1156.72i	−0.0684560	−	0.0760281i
$615$	−8430.79	−	6264.81i	−0.552784	−	0.410766i
$616$	9833.14	+	3449.35i	0.643163	+	0.225614i
$617$	−364.999	+	2304.51i	−0.0238157	+	0.150367i	−0.996731	−	0.0807973i	$-0.974253\pi$
$617$	−364.999	+	2304.51i	−0.0238157	+	0.150367i	0.972915	+	0.231164i	$0.0742534\pi$
$618$	−11361.6	+	3044.34i	−0.739535	+	0.198158i
$619$	1268.90	+	564.949i	0.0823930	+	0.0366837i	0.447519	−	0.894274i	$-0.352308\pi$
$619$	1268.90	+	564.949i	0.0823930	+	0.0366837i	−0.365126	+	0.930958i	$0.618974\pi$
$620$	−8308.47	+	12497.9i	−0.538188	+	0.809561i
$621$	3212.35	+	7215.06i	0.207580	+	0.466232i
$622$	−1238.66	−	7820.57i	−0.0798483	−	0.504142i
$623$	3513.77	+	9829.95i	0.225965	+	0.632149i
$624$		−	758.884i		−	0.0486854i
$625$	15129.9	+	3902.21i	0.968313	+	0.249741i
$626$	−9210.70	+	5317.80i	−0.588073	+	0.339524i
$627$	−6197.75	+	9543.70i	−0.394760	+	0.607877i
$628$	398.526	−	1038.19i	0.0253231	−	0.0659689i
$629$	9065.73	+	6586.64i	0.574681	+	0.417530i
$630$	3026.58	−	3488.33i	0.191400	−	0.220601i
$631$	−9104.72	+	6614.97i	−0.574411	+	0.417334i	−0.836705	−	0.547654i	$-0.815521\pi$
$631$	−9104.72	+	6614.97i	−0.574411	+	0.417334i	0.262294	+	0.964988i	$0.415521\pi$
$632$	−547.831	−	2044.53i	−0.0344803	−	0.128682i
$633$	20974.7	−	8051.44i	1.31701	−	0.505555i
$634$	18088.9	+	16287.3i	1.13313	+	1.02027i
$635$	4065.45	+	9401.70i	0.254067	+	0.587552i
$636$	34656.9	+	11260.7i	2.16075	+	0.702070i
$637$	−326.993	−	986.460i	−0.0203390	−	0.0613579i
$638$	−17526.2	+	34397.1i	−1.08757	+	2.13447i
$639$	−1201.51	+	1081.85i	−0.0743837	+	0.0669754i
$640$	10650.7	+	4879.78i	0.657824	+	0.301391i
$641$	3295.19	−	3659.68i	0.203046	−	0.225505i	−0.633019	−	0.774137i	$-0.718184\pi$
$641$	3295.19	−	3659.68i	0.203046	−	0.225505i	0.836064	+	0.548631i	$0.184851\pi$
$642$	−3868.61	+	4777.34i	−0.237822	+	0.293686i
$643$	14072.7	−	14072.7i	0.863100	−	0.863100i	−0.128597	−	0.991697i	$-0.541047\pi$
$643$	14072.7	−	14072.7i	0.863100	−	0.863100i	0.991697	+	0.128597i	$0.0410472\pi$
$644$	6154.06	−	10109.6i	0.376559	−	0.618593i
$645$	781.039	−	4610.17i	0.0476796	−	0.281434i
$646$	16252.8	−	7236.20i	0.989871	−	0.440719i
$647$	2045.26	−	1656.22i	0.124277	−	0.100638i	−0.565167	−	0.824977i	$-0.691188\pi$
$647$	2045.26	−	1656.22i	0.124277	−	0.100638i	0.689444	+	0.724339i	$0.257855\pi$
$648$	−5975.17	−	3880.32i	−0.362233	−	0.235237i
$649$	27783.6	−	48122.6i	1.68043	−	2.91060i
$650$	1279.06	+	971.958i	0.0771832	+	0.0586513i
$651$	14015.9	+	1803.01i	0.843817	+	0.108549i
$652$	5197.21	+	10200.1i	0.312175	+	0.612679i
$653$	−1067.31	−	409.703i	−0.0639620	−	0.0245527i	0.326177	−	0.945309i	$-0.394240\pi$
$653$	−1067.31	−	409.703i	−0.0639620	−	0.0245527i	−0.390139	+	0.920756i	$0.627573\pi$
$654$	−35.1507	+	334.437i	−0.00210168	+	0.0199962i
$655$	−21534.6	+	896.715i	−1.28462	+	0.0534924i
$656$	−7254.53	+	762.482i	−0.431771	+	0.0453810i
$657$	2461.67	+	2461.67i	0.146178	+	0.146178i
$658$	−15549.1	−	16288.4i	−0.921227	−	0.965030i
$659$	23640.4	−	7681.23i	1.39742	−	0.454049i	0.489064	−	0.872248i	$-0.337339\pi$
$659$	23640.4	−	7681.23i	1.39742	−	0.454049i	0.908355	+	0.418199i	$0.137339\pi$
$660$	27936.3	+	31704.9i	1.64761	+	1.86986i
$661$	1279.13	+	6017.85i	0.0752686	+	0.354111i	0.999624	−	0.0274217i	$-0.00872971\pi$
$661$	1279.13	+	6017.85i	0.0752686	+	0.354111i	−0.924355	+	0.381533i	$0.875396\pi$
$662$	−1265.59	−	24149.0i	−0.0743032	−	1.41779i
$663$	−2012.20	+	1306.74i	−0.117870	+	0.0765454i
$664$	−1302.24	+	4007.88i	−0.0761095	+	0.234241i
$665$	−2124.95	+	5855.46i	−0.123913	+	0.341451i
$666$	−553.950	−	1704.88i	−0.0322299	−	0.0991935i
$667$	6792.37	+	5500.35i	0.394305	+	0.319302i
$668$	2114.45	+	566.565i	0.122471	+	0.0328160i
$669$	−11543.0	+	25926.0i	−0.667083	+	1.49829i
$670$	−34349.0	+	8809.39i	−1.98062	+	0.507965i
$671$	−29386.3	+	40446.7i	−1.69068	+	2.32702i
$672$	−780.456	−	26773.8i	−0.0448017	−	1.53694i
$673$	3003.04	−	1530.12i	0.172004	−	0.0876403i	−0.365869	−	0.930666i	$-0.619228\pi$
$673$	3003.04	−	1530.12i	0.172004	−	0.0876403i	0.537873	+	0.843026i	$0.319228\pi$
$674$	15085.5	+	8709.62i	0.862125	+	0.497748i
$675$	−14525.9	+	5220.75i	−0.828301	+	0.297699i
$676$	−10930.0	−	18931.4i	−0.621873	−	1.07712i
$677$	3.43025	−	65.4530i	0.000194734	−	0.00371575i	−0.998530	−	0.0541937i	$-0.982741\pi$
$677$	3.43025	−	65.4530i	0.000194734	−	0.00371575i	0.998725	+	0.0504780i	$0.0160745\pi$
$678$	−8225.31	+	1302.76i	−0.465916	+	0.0737938i
$679$	−4422.07	+	18662.6i	−0.249931	+	1.05479i
$680$	−1920.25	−	13028.3i	−0.108291	−	0.734727i
$681$	985.358	+	9375.05i	0.0554464	+	0.527537i
$682$	−9822.67	+	36658.7i	−0.551510	+	2.05826i
$683$	11002.7	+	28663.0i	0.616408	+	1.60580i	0.784572	+	0.620038i	$0.212883\pi$
$683$	11002.7	+	28663.0i	0.616408	+	1.60580i	−0.168164	+	0.985759i	$0.553784\pi$
$684$	−1546.01	−	328.614i	−0.0864227	−	0.0183697i
$685$	24.0102	−	2234.80i	0.00133925	−	0.124653i
$686$	−9219.74	−	25318.5i	−0.513136	−	1.40913i
$687$	1059.93	+	540.060i	0.0588629	+	0.0299921i
$688$	−1768.59	−	2723.39i	−0.0980040	−	0.150913i
$689$	1903.05	−	404.506i	0.105226	−	0.0223664i
$690$	15010.6	−	8452.67i	0.828180	−	0.466359i
$691$	−3005.32	+	14138.9i	−0.165452	+	0.778392i	0.814658	+	0.579941i	$0.196924\pi$
$691$	−3005.32	+	14138.9i	−0.165452	+	0.778392i	−0.980111	+	0.198451i	$0.936409\pi$
$692$	26333.0	+	4170.74i	1.44658	+	0.229115i
$693$	2464.29	−	5999.53i	0.135080	−	0.328865i
$694$	−16610.8	−	22862.8i	−0.908556	−	1.25052i
$695$	3248.19	−	8197.48i	0.177282	−	0.447408i
$696$	−6521.13	−	685.398i	−0.355148	−	0.0373275i
$697$	14513.5	+	17922.7i	0.788720	+	0.973988i
$698$	32874.7	+	1722.89i	1.78270	+	0.0934273i
$699$	−7638.25			−0.413312
$700$	18817.0	+	13452.5i	1.01602	+	0.726367i
$701$	25466.1			1.37210			0.686050	−	0.727554i	$-0.259343\pi$
$701$	25466.1			1.37210			0.686050	+	0.727554i	$0.259343\pi$
$702$	−1584.81	−	83.0566i	−0.0852065	−	0.00446548i
$703$	1521.61	+	1879.04i	0.0816341	+	0.100810i
$704$	48173.8	+	5063.27i	2.57900	+	0.271064i
$705$	−4522.02	−	17632.0i	−0.241573	−	0.941927i
$706$	16495.6	+	22704.3i	0.879350	+	1.21032i
$707$	−10802.0	+	1454.67i	−0.574612	+	0.0773812i
$708$	46764.7	+	7406.80i	2.48238	+	0.393170i
$709$	2374.64	−	11171.8i	0.125785	−	0.591772i	−0.869429	−	0.494057i	$-0.835513\pi$
$709$	2374.64	−	11171.8i	0.125785	−	0.591772i	0.995214	−	0.0977149i	$-0.0311533\pi$
$710$	−10730.8	−	9872.81i	−0.567209	−	0.521859i
$711$	−1288.65	+	273.910i	−0.0679719	+	0.0144479i
$712$	−2593.51	−	3993.66i	−0.136511	−	0.210209i
$713$	7655.83	+	3900.84i	0.402122	+	0.204891i
$714$	−51162.0	+	35386.2i	−2.68164	+	1.85476i
$715$	2138.07	+	720.185i	0.111831	+	0.0376691i
$716$	−30403.7	−	6462.50i	−1.58692	−	0.337311i
$717$	−8965.61	−	23356.2i	−0.466983	−	1.21653i
$718$	491.067	−	1832.69i	0.0255243	−	0.0952580i
$719$	−1554.67	−	14791.7i	−0.0806391	−	0.767230i	−0.957878	−	0.287176i	$-0.907284\pi$
$719$	−1554.67	−	14791.7i	−0.0806391	−	0.767230i	0.877239	−	0.480054i	$-0.159383\pi$
$720$	1201.75	−	2297.22i	0.0622035	−	0.118906i
$721$	−6204.98	+	6577.59i	−0.320507	+	0.339754i
$722$	−24943.9	+	3950.73i	−1.28576	+	0.203644i
$723$	−840.493	+	16037.6i	−0.0432341	+	0.824956i
$724$	13261.5	+	22969.5i	0.680744	+	1.17908i
$725$	−11700.1	+	12445.7i	−0.599350	+	0.637549i
$726$	64774.8	+	37397.8i	3.31132	+	1.91179i
$727$	20973.9	−	10686.7i	1.06998	−	0.545183i	0.171947	−	0.985106i	$-0.444994\pi$
$727$	20973.9	−	10686.7i	1.06998	−	0.545183i	0.898036	+	0.439923i	$0.144994\pi$
$728$	248.892	+	403.468i	0.0126711	+	0.0205406i
$729$	8524.08	−	11732.4i	0.433068	−	0.596067i
$730$	−20020.0	+	24186.6i	−1.01503	+	1.22628i
$731$	−4175.76	+	9378.92i	−0.211281	+	0.474544i
$732$	−41148.1	−	11025.6i	−2.07770	−	0.556718i
$733$	−20440.6	−	16552.5i	−1.03000	−	0.834078i	−0.0437016	−	0.999045i	$-0.513915\pi$
$733$	−20440.6	−	16552.5i	−1.03000	−	0.834078i	−0.986299	+	0.164966i	$0.947248\pi$
$734$	−4312.92	−	13273.8i	−0.216884	−	0.667500i
$735$	3510.88	−	21495.8i	0.176192	−	1.07875i
$736$	5032.74	−	15489.2i	0.252050	−	0.775732i
$737$	−41766.5	+	27123.5i	−2.08750	+	1.35564i
$738$	−193.082	−	3684.23i	−0.00963071	−	0.183765i
$739$	−5088.19	−	23938.0i	−0.253277	−	1.19158i	−0.902402	−	0.430895i	$-0.858198\pi$
$739$	−5088.19	−	23938.0i	−0.253277	−	1.19158i	0.649125	−	0.760682i	$-0.275135\pi$
$740$	8241.03	−	3563.56i	0.409387	−	0.177026i
$741$	−492.350	+	159.974i	−0.0244088	+	0.00793091i
$742$	49014.8	−	11921.1i	2.42505	−	0.589806i
$743$	8742.57	+	8742.57i	0.431674	+	0.431674i	0.889197	−	0.457524i	$-0.151263\pi$
$743$	8742.57	+	8742.57i	0.431674	+	0.431674i	−0.457524	+	0.889197i	$0.651263\pi$
$744$	−6410.85	+	673.807i	−0.315905	+	0.0332029i
$745$	11290.3	+	7505.66i	0.555227	+	0.369109i
$746$	6007.81	−	57160.5i	0.294855	−	2.80536i
$747$	2448.72	+	939.975i	0.119938	+	0.0460400i
$748$	−42121.6	−	82668.2i	−2.05898	−	4.04098i
$749$	−602.958	+	4687.16i	−0.0294147	+	0.228658i
$750$	14310.5	+	30475.7i	0.696727	+	1.48375i
$751$	−1217.17	+	2108.21i	−0.0591415	+	0.102436i	−0.894080	−	0.447907i	$-0.852170\pi$
$751$	−1217.17	+	2108.21i	−0.0591415	+	0.102436i	0.834939	+	0.550343i	$0.185503\pi$
$752$	−10601.8	−	6884.92i	−0.514109	−	0.333866i
$753$	−19810.5	+	16042.3i	−0.958746	+	0.776378i
$754$	−1604.40	+	714.326i	−0.0774919	+	0.0345016i
$755$	−14542.8	−	29316.2i	−0.701015	−	1.41315i
$756$	−22844.7	−	530.506i	−1.09901	−	0.0255216i
$757$	12552.5	−	12552.5i	0.602680	−	0.602680i	−0.338343	−	0.941023i	$-0.609866\pi$
$757$	12552.5	−	12552.5i	0.602680	−	0.602680i	0.941023	+	0.338343i	$0.109866\pi$
$758$	−17803.4	+	21985.4i	−0.853099	+	1.05349i
$759$	16188.5	−	17979.2i	0.774185	−	0.859819i
$760$	327.357	−	2822.55i	0.0156243	−	0.134717i
$761$	23693.6	−	21333.8i	1.12863	−	1.01623i	0.128937	−	0.991653i	$-0.458844\pi$
$761$	23693.6	−	21333.8i	1.12863	−	1.01623i	0.999698	−	0.0245745i	$-0.00782311\pi$
$762$	−10020.2	+	19665.8i	−0.476371	+	0.934930i
$763$	111.985	+	233.003i	0.00531342	+	0.0110554i
$764$	−25668.3	−	8340.14i	−1.21551	−	0.394942i
$765$	−8160.45	+	769.156i	−0.385676	+	0.0363515i
$766$	10647.6	+	9587.19i	0.502239	+	0.452218i
$767$	2360.00	−	905.920i	0.111101	−	0.0426478i
$768$

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+(-4.23585 - 0.221992i) q^{2} +(-3.57431 - 4.41391i) q^{3} +(9.93698 + 1.04442i) q^{4} +(11.1581 + 0.705047i) q^{5} +(14.1604 + 19.4901i) q^{6} +(17.1314 + 7.03669i) q^{7} +(-8.34419 - 1.32159i) q^{8} +(-1.09326 + 5.14337i) q^{9} +(-47.1075 - 5.46348i) q^{10} +(-65.1456 + 13.8471i) q^{11} +(-30.9079 - 47.5940i) q^{12} +(-2.69963 - 1.37553i) q^{13} +(-71.0040 - 33.6094i) q^{14} +(-36.7705 - 51.7708i) q^{15} +(-43.1356 - 9.16876i) q^{16} +(49.9650 + 130.163i) q^{17} +(5.77266 - 21.5438i) q^{18} +(3.14455 + 29.9184i) q^{19} +(110.141 + 18.6598i) q^{20} +(-30.1737 - 100.768i) q^{21} +(279.021 - 44.1926i) q^{22} +(3.34730 - 63.8704i) q^{23} +(23.9914 + 41.5543i) q^{24} +(124.006 + 15.7340i) q^{25} +(11.1299 + 6.42583i) q^{26} +(-110.026 + 56.0611i) q^{27} +(162.885 + 87.8158i) q^{28} +(-80.3234 + 110.556i) q^{29} +(144.262 + 227.456i) q^{30} +(-54.6424 + 122.729i) q^{31} +(245.963 + 65.9057i) q^{32} +(293.971 + 238.053i) q^{33} +(-182.749 - 562.444i) q^{34} +(186.193 + 90.5944i) q^{35} +(-16.2355 + 49.9677i) q^{36} +(67.4062 - 43.7741i) q^{37} +(-6.67822 - 127.428i) q^{38} +(3.57785 + 16.8325i) q^{39} +(-92.1734 - 20.6295i) q^{40} +(157.315 - 51.1147i) q^{41} +(105.442 + 433.535i) q^{42} +(52.0680 + 52.0680i) q^{43} +(-661.813 + 69.5594i) q^{44} +(-15.8250 + 56.6193i) q^{45} +(-28.3574 + 269.802i) q^{46} +(267.615 + 102.728i) q^{47} +(113.710 + 223.169i) q^{48} +(243.970 + 241.097i) q^{49} +(-521.777 - 94.1750i) q^{50} +(395.938 - 685.785i) q^{51} +(-25.3895 - 16.4882i) q^{52} +(-499.029 + 404.106i) q^{53} +(478.499 - 213.042i) q^{54} +(-736.663 + 108.577i) q^{55} +(-133.648 - 81.3562i) q^{56} +(120.817 - 120.817i) q^{57} +(364.781 - 450.466i) q^{58} +(-558.275 + 620.028i) q^{59} +(-311.317 - 552.849i) q^{60} +(557.851 - 502.292i) q^{61} +(258.702 - 507.731i) q^{62} +(-54.9213 + 80.4202i) q^{63} +(-691.707 - 224.749i) q^{64} +(-29.1529 - 17.2516i) q^{65} +(-1192.37 - 1073.61i) q^{66} +(698.083 - 267.969i) q^{67} +(360.556 + 1345.61i) q^{68} +(-293.882 + 213.518i) q^{69} +(-768.573 - 425.078i) q^{70} +(248.754 + 180.730i) q^{71} +(15.9198 - 41.4724i) q^{72} +(360.587 - 555.255i) q^{73} +(-295.240 + 170.457i) q^{74} +(-373.787 - 603.588i) q^{75} +300.583i q^{76} +(-1213.47 - 221.189i) q^{77} +(-11.4186 - 72.0941i) q^{78} +(101.906 + 228.884i) q^{79} +(-474.847 - 132.719i) q^{80} +(770.415 + 343.011i) q^{81} +(-677.709 + 181.592i) q^{82} +(78.0327 - 492.679i) q^{83} +(-194.592 - 1032.84i) q^{84} +(465.743 + 1487.60i) q^{85} +(-208.994 - 232.111i) q^{86} +(775.083 - 40.6204i) q^{87} +(561.888 - 29.4473i) q^{88} +(377.160 + 418.879i) q^{89} +(79.6012 - 236.318i) q^{90} +(-36.5693 - 42.5612i) q^{91} +(99.9695 - 631.183i) q^{92} +(737.022 - 197.485i) q^{93} +(-1110.77 - 494.548i) q^{94} +(13.9933 + 336.049i) q^{95} +(-588.248 - 1321.23i) q^{96} +(162.001 + 1022.84i) q^{97} +(-979.900 - 1075.41i) q^{98} -350.206i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 928 q - 8 q^{2} - 24 q^{3} - 10 q^{4} - 24 q^{7} + 84 q^{8} - 10 q^{9} - 96 q^{10} - 6 q^{11} - 72 q^{12} - 20 q^{14} - 368 q^{15} - 1670 q^{16} + 120 q^{17} - 14 q^{18} - 30 q^{19} - 12 q^{21} - 880 q^{22}+ \cdots - 19478 q^{98}+O(q^{100}) \) 928 * q - 8 * q^2 - 24 * q^3 - 10 * q^4 - 24 * q^7 + 84 * q^8 - 10 * q^9 - 96 * q^10 - 6 * q^11 - 72 * q^12 - 20 * q^14 - 368 * q^15 - 1670 * q^16 + 120 * q^17 - 14 * q^18 - 30 * q^19 - 12 * q^21 - 880 * q^22 + 296 * q^23 + 32 * q^25 - 48 * q^26 + 226 * q^28 - 200 * q^29 - 38 * q^30 - 18 * q^31 - 964 * q^32 - 1092 * q^33 + 288 * q^35 + 7400 * q^36 - 392 * q^37 + 5424 * q^38 + 2430 * q^39 + 2172 * q^40 - 2098 * q^42 + 1560 * q^43 - 10 * q^44 - 4224 * q^45 - 6 * q^46 + 96 * q^47 + 6232 * q^50 - 16 * q^51 - 8928 * q^52 - 2384 * q^53 - 30 * q^54 + 244 * q^56 + 1556 * q^57 + 640 * q^58 + 4890 * q^59 + 3676 * q^60 - 18 * q^61 + 224 * q^63 - 9700 * q^64 - 1116 * q^65 - 2610 * q^66 - 2404 * q^67 - 13614 * q^68 - 1700 * q^70 - 24 * q^71 - 518 * q^72 - 4200 * q^73 - 16104 * q^75 - 722 * q^77 - 356 * q^78 - 10 * q^79 + 6414 * q^80 - 6810 * q^81 + 1692 * q^82 + 20620 * q^84 + 2712 * q^85 - 6 * q^86 + 9102 * q^87 + 1650 * q^88 + 20370 * q^89 - 12 * q^91 + 1612 * q^92 - 4604 * q^93 - 30 * q^94 + 1652 * q^95 - 2610 * q^96 - 19478 * q^98

Introduction

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