LMFDB - Embedded newform 175.4.x.a.17.12

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			17.12
Character	$\chi$	$=$	175.17
Dual form			175.4.x.a.103.12

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-3.65654 + 0.191631i) q^{2} +(-3.56883 + 4.40714i) q^{3} +(5.37736 - 0.565184i) q^{4} +(-7.45211 + 8.33463i) q^{5} +(12.2050 - 16.7988i) q^{6} +(5.89045 - 17.5585i) q^{7} +(9.37758 - 1.48526i) q^{8} +(-1.07270 - 5.04663i) q^{9} +(25.6517 - 31.9039i) q^{10} +(45.0384 + 9.57321i) q^{11} +(-16.7000 + 25.7158i) q^{12} +(34.9937 - 17.8302i) q^{13} +(-18.1739 + 65.3323i) q^{14} +(-10.1366 - 62.5873i) q^{15} +(-76.3155 + 16.2214i) q^{16} +(19.9528 - 51.9788i) q^{17} +(4.88944 + 18.2476i) q^{18} +(-3.07560 + 29.2623i) q^{19} +(-35.3621 + 49.0301i) q^{20} +(56.3609 + 88.6234i) q^{21} +(-166.519 - 26.3740i) q^{22} +(1.05355 + 20.1029i) q^{23} +(-26.9212 + 46.6289i) q^{24} +(-13.9321 - 124.221i) q^{25} +(-124.539 + 71.9027i) q^{26} +(-110.357 - 56.2297i) q^{27} +(21.7513 - 97.7479i) q^{28} +(159.008 + 218.856i) q^{29} +(49.0583 + 226.910i) q^{30} +(50.0497 + 112.413i) q^{31} +(202.574 - 54.2796i) q^{32} +(-202.925 + 164.325i) q^{33} +(-62.9974 + 193.886i) q^{34} +(102.448 + 179.943i) q^{35} +(-8.62054 - 26.5313i) q^{36} +(12.2917 + 7.98236i) q^{37} +(5.63846 - 107.588i) q^{38} +(-46.3065 + 217.855i) q^{39} +(-57.5036 + 89.2270i) q^{40} +(8.43713 + 2.74139i) q^{41} +(-223.069 - 313.254i) q^{42} +(-140.993 + 140.993i) q^{43} +(247.598 + 26.0236i) q^{44} +(50.0557 + 28.6675i) q^{45} +(-7.70469 - 73.3052i) q^{46} +(28.8124 - 11.0601i) 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} +(178.097 - 115.657i) q^{52} +(376.650 + 305.005i) q^{53} +(414.300 + 184.458i) q^{54} +(-415.420 + 304.038i) q^{55} +(29.1591 - 173.406i) q^{56} +(-117.987 - 117.987i) q^{57} +(-623.358 - 769.784i) q^{58} +(-181.296 - 201.350i) q^{59} +(-89.8812 - 330.826i) q^{60} +(204.406 + 184.048i) q^{61} +(-204.550 - 401.453i) q^{62} +(-94.9302 - 10.8919i) q^{63} +(-136.704 + 44.4177i) q^{64} +(-112.169 + 424.533i) q^{65} +(710.512 - 639.748i) q^{66} +(332.139 + 127.496i) q^{67} +(77.9158 - 290.786i) q^{68} +(-92.3563 - 67.1008i) q^{69} +(-409.087 - 638.336i) q^{70} +(562.908 - 408.976i) q^{71} +(-17.5549 - 45.7320i) q^{72} +(-473.477 - 729.091i) q^{73} +(-46.4749 - 26.8323i) q^{74} +(597.181 + 381.923i) q^{75} +159.092i q^{76} +(433.388 - 734.418i) q^{77} +(127.574 - 805.469i) q^{78} +(-500.071 + 1123.18i) q^{79} +(433.512 - 756.945i) q^{80} +(768.917 - 342.344i) q^{81} +(-31.3760 - 8.40718i) q^{82} +(-110.810 - 699.629i) q^{83} +(353.162 + 444.706i) q^{84} +(284.534 + 553.651i) q^{85} +(488.529 - 542.567i) q^{86} +(-1532.00 - 80.2887i) q^{87} +(436.570 + 22.8797i) q^{88} +(-368.430 + 409.183i) q^{89} +(-188.524 - 95.2317i) q^{90} +(-106.944 - 719.467i) q^{91} +(17.0272 + 107.505i) q^{92} +(-674.040 - 180.608i) q^{93} +(-103.234 + 45.9628i) q^{94} +(-220.971 - 243.700i) q^{95} +(-483.735 + 1086.49i) q^{96} +(-193.365 + 1220.86i) q^{97} +(1040.09 + 703.943i) 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 $\left(\mathbb{Z}/175\mathbb{Z}\right)^\times$.

$n$	$101$	$127$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{13}{20}\right)$

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 $

$2$	−3.65654	+	0.191631i	−1.29278	+	0.0677518i	−0.686284	−	0.727334i	$-0.740759\pi$
$2$	−3.65654	+	0.191631i	−1.29278	+	0.0677518i	−0.606497	+	0.795086i	$0.707426\pi$
$3$	−3.56883	+	4.40714i	−0.686821	+	0.848154i	−0.994652	−	0.103288i	$-0.967064\pi$
$3$	−3.56883	+	4.40714i	−0.686821	+	0.848154i	0.307830	+	0.951441i	$0.400397\pi$
$4$	5.37736	−	0.565184i	0.672170	−	0.0706479i
$5$	−7.45211	+	8.33463i	−0.666537	+	0.745472i
$5$	−7.45211	+	8.33463i	−0.666537	+	0.745472i
$6$	12.2050	−	16.7988i	0.830446	−	1.14301i
$7$	5.89045	−	17.5585i	0.318054	−	0.948073i
$7$	5.89045	−	17.5585i	0.318054	−	0.948073i
$8$	9.37758	−	1.48526i	0.414435	−	0.0656400i
$9$	−1.07270	−	5.04663i	−0.0397294	−	0.186912i
$10$	25.6517	−	31.9039i	0.811179	−	1.00889i
$11$	45.0384	+	9.57321i	1.23451	+	0.262403i	0.778541	−	0.627594i	$-0.215960\pi$
$11$	45.0384	+	9.57321i	1.23451	+	0.262403i	0.455967	+	0.889997i	$0.349293\pi$
$12$	−16.7000	+	25.7158i	−0.401741	+	0.618626i
$13$	34.9937	−	17.8302i	0.746578	−	0.380401i	−0.0389379	−	0.999242i	$-0.512397\pi$
$13$	34.9937	−	17.8302i	0.746578	−	0.380401i	0.785516	+	0.618841i	$0.212397\pi$
$14$	−18.1739	+	65.3323i	−0.346941	+	1.24720i
$15$	−10.1366	−	62.5873i	−0.174483	−	1.07733i
$16$	−76.3155	+	16.2214i	−1.19243	+	0.253459i
$17$	19.9528	−	51.9788i	0.284663	−	0.741571i	−0.714459	−	0.699677i	$-0.753327\pi$
$17$	19.9528	−	51.9788i	0.284663	−	0.741571i	0.999122	−	0.0418945i	$-0.0133393\pi$
$18$	4.88944	+	18.2476i	0.0640251	+	0.238945i
$19$	−3.07560	+	29.2623i	−0.0371363	+	0.353328i	0.960137	+	0.279530i	$0.0901787\pi$
$19$	−3.07560	+	29.2623i	−0.0371363	+	0.353328i	−0.997273	+	0.0737982i	$0.976488\pi$
$20$	−35.3621	+	49.0301i	−0.395360	+	0.548174i
$21$	56.3609	+	88.6234i	0.585665	+	0.920915i
$22$	−166.519	−	26.3740i	−1.61373	−	0.255589i
$23$	1.05355	+	20.1029i	0.00955132	+	0.182250i	0.999239	+	0.0390074i	$0.0124196\pi$
$23$	1.05355	+	20.1029i	0.00955132	+	0.182250i	−0.989688	+	0.143243i	$0.954247\pi$
$24$	−26.9212	+	46.6289i	−0.228970	+	0.396587i
$25$	−13.9321	−	124.221i	−0.111457	−	0.993769i
$26$	−124.539	+	71.9027i	−0.939389	+	0.542357i
$27$	−110.357	−	56.2297i	−0.786600	−	0.400793i
$28$	21.7513	−	97.7479i	0.146807	−	0.659736i
$29$	159.008	+	218.856i	1.01817	+	1.40140i	0.913476	+	0.406893i	$0.133388\pi$
$29$	159.008	+	218.856i	1.01817	+	1.40140i	0.104699	+	0.994504i	$0.466612\pi$
$30$	49.0583	+	226.910i	0.298560	+	1.38093i
$31$	50.0497	+	112.413i	0.289974	+	0.651291i	0.998521	−	0.0543720i	$-0.0173157\pi$
$31$	50.0497	+	112.413i	0.289974	+	0.651291i	−0.708547	+	0.705664i	$0.750649\pi$
$32$	202.574	−	54.2796i	1.11907	−	0.299855i
$33$	−202.925	+	164.325i	−1.07044	+	0.866829i
$34$	−62.9974	+	193.886i	−0.317764	+	0.977976i
$35$	102.448	+	179.943i	0.494767	+	0.869026i
$36$	−8.62054	−	26.5313i	−0.0399099	−	0.122830i
$37$	12.2917	+	7.98236i	0.0546149	+	0.0354673i	0.571658	−	0.820492i	$-0.306301\pi$
$37$	12.2917	+	7.98236i	0.0546149	+	0.0354673i	−0.517043	+	0.855960i	$0.672967\pi$
$38$	5.63846	−	107.588i	0.0240705	−	0.459292i
$39$	−46.3065	+	217.855i	−0.190128	+	0.894480i
$40$	−57.5036	+	89.2270i	−0.227303	+	0.352701i
$41$	8.43713	+	2.74139i	0.0321380	+	0.0104423i	0.325042	−	0.945700i	$-0.394622\pi$
$41$	8.43713	+	2.74139i	0.0321380	+	0.0104423i	−0.292904	+	0.956142i	$0.594622\pi$
$42$	−223.069	−	313.254i	−0.819530	−	1.15086i
$43$	−140.993	+	140.993i	−0.500030	+	0.500030i	−0.911447	−	0.411417i	$-0.865034\pi$
$43$	−140.993	+	140.993i	−0.500030	+	0.500030i	0.411417	+	0.911447i	$0.365034\pi$
$44$	247.598	+	26.0236i	0.848338	+	0.0891639i
$45$	50.0557	+	28.6675i	0.165819	+	0.0949668i
$46$	−7.70469	−	73.3052i	−0.0246955	−	0.234962i
$47$	28.8124	−	11.0601i	0.0894196	−	0.0343250i	−0.313247	−	0.949672i	$-0.601417\pi$
$47$	28.8124	−	11.0601i	0.0894196	−	0.0343250i	0.402667	+	0.915347i	$0.368083\pi$
$48$	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
$52$	178.097	−	115.657i	0.474953	−	0.308438i
$53$	376.650	+	305.005i	0.976166	+	0.790484i	0.977805	−	0.209515i	$-0.0671885\pi$
$53$	376.650	+	305.005i	0.976166	+	0.790484i	−0.00163927	+	0.999999i	$0.500522\pi$
$54$	414.300	+	184.458i	1.04406	+	0.464844i
$55$	−415.420	+	304.038i	−1.01846	+	0.745390i
$56$	29.1591	−	173.406i	0.0695811	−	0.413791i
$57$	−117.987	−	117.987i	−0.274171	−	0.274171i
$58$	−623.358	−	769.784i	−1.41122	−	1.74272i
$59$	−181.296	−	201.350i	−0.400046	−	0.444296i	0.509142	−	0.860683i	$-0.329963\pi$
$59$	−181.296	−	201.350i	−0.400046	−	0.444296i	−0.909188	+	0.416387i	$0.863296\pi$
$60$	−89.8812	−	330.826i	−0.193394	−	0.711824i
$61$	204.406	+	184.048i	0.429042	+	0.386311i	0.855167	−	0.518353i	$-0.173455\pi$
$61$	204.406	+	184.048i	0.429042	+	0.386311i	−0.426125	+	0.904665i	$0.640121\pi$
$62$	−204.550	−	401.453i	−0.418999	−	0.822331i
$63$	−94.9302	−	10.8919i	−0.189843	−	0.0217818i
$64$	−136.704	+	44.4177i	−0.266999	+	0.0867533i
$65$	−112.169	+	424.533i	−0.214044	+	0.810104i
$66$	710.512	−	639.748i	1.32512	−	1.19314i
$67$	332.139	+	127.496i	0.605631	+	0.232480i	0.641808	−	0.766865i	$-0.278185\pi$
$67$	332.139	+	127.496i	0.605631	+	0.232480i	−0.0361768	+	0.999345i	$0.511518\pi$
$68$	77.9158	−	290.786i	0.138951	−	0.518573i
$69$	−92.3563	−	67.1008i	−0.161136	−	0.117072i
$70$	−409.087	−	638.336i	−0.698503	−	1.08994i
$71$	562.908	−	408.976i	0.940913	−	0.683613i	−0.00772718	−	0.999970i	$-0.502460\pi$
$71$	562.908	−	408.976i	0.940913	−	0.683613i	0.948640	+	0.316357i	$0.102460\pi$
$72$	−17.5549	−	45.7320i	−0.0287342	−	0.0748551i
$73$	−473.477	−	729.091i	−0.759127	−	1.16895i	−0.981025	−	0.193884i	$-0.937892\pi$
$73$	−473.477	−	729.091i	−0.759127	−	1.16895i	0.221897	−	0.975070i	$-0.428775\pi$
$74$	−46.4749	−	26.8323i	−0.0730081	−	0.0421512i
$75$	597.181	+	381.923i	0.919420	+	0.588009i
$76$			159.092i			0.240121i
$77$	433.388	−	734.418i	0.641417	−	1.08694i
$78$	127.574	−	805.469i	0.185191	−	1.16925i
$79$	−500.071	+	1123.18i	−0.712182	+	1.59959i	0.0853790	+	0.996349i	$0.472790\pi$
$79$	−500.071	+	1123.18i	−0.712182	+	1.59959i	−0.797561	+	0.603238i	$0.793877\pi$
$80$	433.512	−	756.945i	0.605852	−	1.05786i
$81$	768.917	−	342.344i	1.05476	−	0.469607i
$82$	−31.3760	−	8.40718i	−0.0422549	−	0.0113222i
$83$	−110.810	−	699.629i	−0.146542	−	0.925232i	−0.945919	−	0.324402i	$-0.894837\pi$
$83$	−110.810	−	699.629i	−0.146542	−	0.925232i	0.799377	−	0.600830i	$-0.205163\pi$
$84$	353.162	+	444.706i	0.458727	+	0.577636i
$85$	284.534	+	553.651i	0.363083	+	0.706493i
$86$	488.529	−	542.567i	0.612552	−	0.680308i
$87$	−1532.00	−	80.2887i	−1.88790	−	0.0989408i
$88$	436.570	+	22.8797i	0.528847	+	0.0277157i
$89$	−368.430	+	409.183i	−0.438804	+	0.487341i	−0.921462	−	0.388468i	$-0.873004\pi$
$89$	−368.430	+	409.183i	−0.438804	+	0.487341i	0.482659	+	0.875808i	$0.339671\pi$
$90$	−188.524	−	95.2317i	−0.220802	−	0.111537i
$91$	−106.944	−	719.467i	−0.123195	−	0.828798i
$92$	17.0272	+	107.505i	0.0192957	+	0.121828i
$93$	−674.040	−	180.608i	−0.751555	−	0.201379i
$94$	−103.234	+	45.9628i	−0.113274	+	0.0504330i
$95$	−220.971	−	243.700i	−0.238644	−	0.263191i
$96$	−483.735	+	1086.49i	−0.514281	+	1.15509i
$97$	−193.365	+	1220.86i	−0.202405	+	1.27793i	0.651958	+	0.758255i	$0.273948\pi$
$97$	−193.365	+	1220.86i	−0.202405	+	1.27793i	−0.854362	+	0.519678i	$0.826052\pi$
$98$	1040.09	+	703.943i	1.07209	+	0.725602i
$99$		−	237.561i		−	0.241170i
$100$	−145.126	−	660.108i	−0.145126	−	0.660108i
$101$	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	$0.591780\pi$
$102$	−629.655	−	969.584i	−0.611227	−	0.941207i
$103$	23.3888	+	60.9298i	0.0223744	+	0.0582873i	0.944313	−	0.329050i	$-0.106728\pi$
$103$	23.3888	+	60.9298i	0.0223744	+	0.0582873i	−0.921938	+	0.387337i	$0.873395\pi$
$104$	301.674	−	219.179i	0.284438	−	0.206657i
$105$	−1158.65	−	190.684i	−1.07688	−	0.177227i
$106$	−1435.68	−	1043.08i	−1.31553	−	0.955785i
$107$	−341.515	+	1274.55i	−0.308556	+	1.15155i	0.621285	+	0.783585i	$0.286611\pi$
$107$	−341.515	+	1274.55i	−0.308556	+	1.15155i	−0.929841	+	0.367962i	$0.880056\pi$
$108$	−625.209	−	239.995i	−0.557044	−	0.213829i
$109$	−719.382	+	647.735i	−0.632150	+	0.569190i	−0.921667	−	0.387983i	$-0.873172\pi$
$109$	−719.382	+	647.735i	−0.632150	+	0.569190i	0.289517	+	0.957173i	$0.406505\pi$
$110$	1460.74	−	1191.33i	1.26614	−	1.03263i
$111$	−79.0465	+	25.6838i	−0.0675924	+	0.0219621i
$112$	−164.709	+	1435.54i	−0.138960	+	1.21112i
$113$	980.457	+	1924.25i	0.816227	+	1.60193i	0.798426	+	0.602093i	$0.205666\pi$
$113$	980.457	+	1924.25i	0.816227	+	1.60193i	0.0178008	+	0.999842i	$0.494334\pi$
$114$	454.033	+	408.813i	0.373018	+	0.335867i
$115$	−175.402	−	141.028i	−0.142229	−	0.114356i
$116$	978.738	+	1087.00i	0.783392	+	0.870045i
$117$	−127.520	−	157.474i	−0.100763	−	0.124432i
$118$	701.500	+	701.500i	0.547274	+	0.547274i
$119$	−795.142	−	656.520i	−0.612525	−	0.505741i
$120$	−188.015	−	571.862i	−0.143028	−	0.435030i
$121$	720.882	+	320.957i	0.541609	+	0.241140i
$122$	−782.689	−	633.809i	−0.580831	−	0.470347i
$123$	−42.1924	+	27.4000i	−0.0309297	+	0.0200860i
$124$	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	−0.0425847	−	0.999093i	$-0.513559\pi$
$127$	1131.71	−	2221.10i	0.790729	−	1.55189i	0.833314	−	0.552800i	$-0.186441\pi$
$128$	−1074.98	+	412.644i	−0.742307	+	0.284945i
$129$	−118.196	−	1124.56i	−0.0806711	−	0.767534i
$130$	328.797	−	1573.81i	0.221826	−	1.06179i
$131$	2855.69	+	300.145i	1.90460	+	0.200182i	0.982434	−	0.186612i	$-0.0597508\pi$
$131$	2855.69	+	300.145i	1.90460	+	0.200182i	0.922166	+	0.386794i	$0.126417\pi$
$132$	−998.326	+	998.326i	−0.658281	+	0.658281i
$133$	495.688	+	226.371i	0.323170	+	0.147585i
$134$	−1238.91	−	402.547i	−0.798699	−	0.259513i
$135$	1291.05	−	500.755i	0.823078	−	0.319245i
$136$	109.907	−	517.071i	0.0692973	−	0.326018i
$137$	−119.831	+	2286.51i	−0.0747289	+	1.42591i	0.661889	+	0.749602i	$0.269755\pi$
$137$	−119.831	+	2286.51i	−0.0747289	+	1.42591i	−0.736618	+	0.676309i	$0.763578\pi$
$138$	350.563	+	227.658i	0.216245	+	0.140431i
$139$	425.263	+	1308.83i	0.259499	+	0.798655i	0.992910	+	0.118870i	$0.0379271\pi$
$139$	425.263	+	1308.83i	0.259499	+	0.798655i	−0.733411	+	0.679785i	$0.762073\pi$
$140$	652.600	+	909.716i	0.393962	+	0.549179i
$141$	−54.0834	+	166.452i	−0.0323025	+	0.0994167i
$142$	−1979.92	+	1603.31i	−1.17008	+	0.947511i
$143$	1746.75	−	468.041i	1.02148	−	0.273703i
$144$	163.726	+	367.736i	0.0947491	+	0.212810i
$145$	−3009.03	−	305.664i	−1.72335	−	0.175062i
$146$	1871.00	+	2575.21i	1.06058	+	1.45977i
$147$	1888.09	−	467.585i	1.05937	−	0.262352i
$148$	70.6087	+	35.9769i	0.0392162	+	0.0199817i
$149$	−693.724	+	400.522i	−0.381423	+	0.220215i	−0.678437	−	0.734658i	$-0.737342\pi$
$149$	−693.724	+	400.522i	−0.381423	+	0.220215i	0.297014	+	0.954873i	$0.404009\pi$
$150$	−2256.80	−	1282.08i	−1.22845	−	0.697875i
$151$	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	$0.159579\pi$
$152$	14.6206	+	278.978i	0.00780190	+	0.148869i
$153$	−283.721	−	44.9370i	−0.149918	−	0.0237447i
$154$	−1443.96	+	2768.48i	−0.755569	+	1.44864i
$155$	−1309.90	−	420.571i	−0.678798	−	0.217943i
$156$	−125.879	+	1197.66i	−0.0646050	+	0.614675i
$157$	245.248	+	915.279i	0.124668	+	0.465269i	0.999828	−	0.0185662i	$-0.00591014\pi$
$157$	245.248	+	915.279i	0.124668	+	0.465269i	−0.875159	+	0.483835i	$0.839243\pi$
$158$	1613.29	−	4202.77i	0.812320	−	2.11617i
$159$	−2688.40	+	571.436i	−1.34090	+	0.285018i
$160$	−1057.20	+	2092.88i	−0.522371	+	1.03410i
$161$	359.184	+	99.9164i	0.175824	+	0.0489100i
$162$	−2745.97	+	1399.14i	−1.33175	+	0.678561i
$163$	403.678	−	621.610i	0.193979	−	0.298701i	−0.728276	−	0.685284i	$-0.759678\pi$
$163$	403.678	−	621.610i	0.193979	−	0.298701i	0.922255	+	0.386583i	$0.126345\pi$
$164$	46.9189	+	9.97292i	0.0223399	+	0.00474850i
$165$	142.627	−	2915.87i	0.0672941	−	1.37576i
$166$	539.253	+	2536.98i	0.252133	+	1.18619i
$167$	−2423.98	+	383.921i	−1.12319	+	0.177896i	−0.690282	−	0.723540i	$-0.742514\pi$
$167$	−2423.98	+	383.921i	−1.12319	+	0.177896i	−0.432911	+	0.901437i	$0.642514\pi$
$168$	660.158	+	747.363i	0.303169	+	0.343216i
$169$	−384.718	+	529.519i	−0.175111	+	0.241019i
$170$	−1146.50	−	1969.92i	−0.517252	−	0.888741i
$171$	150.975	−	15.8682i	0.0675169	−	0.00709631i
$172$	−678.486	+	837.860i	−0.300779	+	0.371432i
$173$	−3618.13	+	189.618i	−1.59007	+	0.0833318i	−0.826703	−	0.562638i	$-0.809786\pi$
$173$	−3618.13	+	189.618i	−1.59007	+	0.0833318i	−0.763363	+	0.645970i	$0.776453\pi$
$174$	5617.20			2.44735
$175$	−2263.21	−	487.090i	−0.977615	−	0.210403i
$176$	−3592.42			−1.53857
$177$	1534.39	−	80.4139i	0.651592	−	0.0341485i
$178$	1268.77	−	1566.80i	0.534259	−	0.659754i
$179$	3326.03	−	349.580i	1.38882	−	0.145971i	0.619583	−	0.784931i	$-0.287302\pi$
$179$	3326.03	−	349.580i	1.38882	−	0.145971i	0.769240	+	0.638960i	$0.220635\pi$
$180$	285.370	+	125.865i	0.118168	+	0.0521191i
$181$	−25.4301	+	35.0016i	−0.0104431	+	0.0143737i	−0.814207	−	0.580575i	$-0.802828\pi$
$181$	−25.4301	+	35.0016i	−0.0104431	+	0.0143737i	0.803764	+	0.594949i	$0.202828\pi$
$182$	528.916	+	2610.26i	0.215417	+	1.06311i
$183$	−1540.62	+	244.010i	−0.622326	+	0.0985668i
$184$	39.7379	+	186.952i	0.0159213	+	0.0749037i
$185$	−158.129	+	42.9618i	−0.0628427	+	0.0170736i
$186$	2499.26	+	531.234i	0.985240	+	0.209419i
$187$	1396.25	−	2150.03i	0.546009	−	0.840779i
$188$	148.684	−	75.7582i	0.0576802	−	0.0293896i
$189$	−1637.36	+	1606.49i	−0.630162	+	0.618280i
$190$	854.689	+	848.753i	0.326346	+	0.324079i
$191$	−2133.24	+	453.435i	−0.808147	+	0.171777i	−0.593416	−	0.804896i	$-0.702221\pi$
$191$	−2133.24	+	453.435i	−0.808147	+	0.171777i	−0.214731	+	0.976673i	$0.568888\pi$
$192$	292.117	−	760.990i	0.109801	−	0.286040i
$193$	134.013	+	500.142i	0.0499816	+	0.186534i	0.986403	−	0.164343i	$-0.0525503\pi$
$193$	134.013	+	500.142i	0.0499816	+	0.186534i	−0.936422	+	0.350877i	$0.885884\pi$
$194$	473.092	−	4501.17i	0.175083	−	1.66580i
$195$	−1470.66	−	2009.43i	−0.540083	−	0.737939i
$196$	−1588.19	−	957.699i	−0.578785	−	0.349016i
$197$	3707.49	+	587.209i	1.34085	+	0.212370i	0.785302	−	0.619113i	$-0.212508\pi$
$197$	3707.49	+	587.209i	1.34085	+	0.212370i	0.555550	+	0.831483i	$0.312508\pi$
$198$	45.5241	+	868.652i	0.0163397	+	0.311780i
$199$	1644.01	−	2847.51i	0.585633	−	1.01435i	−0.409164	−	0.912461i	$-0.634179\pi$
$199$	1644.01	−	2847.51i	0.585633	−	1.01435i	0.994796	−	0.101884i	$-0.0324872\pi$
$200$	−315.151	−	1144.20i	−0.111423	−	0.404536i
$201$	−1747.24	+	1008.77i	−0.613139	+	0.353996i
$202$	−1543.82	−	786.617i	−0.537737	−	0.273991i
$203$	4779.42	−	1502.79i	1.65246	−	0.519583i
$204$	1003.46	+	1381.15i	0.344395	+	0.474019i
$205$	−85.7229	+	49.8912i	−0.0292056	+	0.0169978i
$206$	−97.1979	−	218.310i	−0.0328743	−	0.0738368i
$207$	100.322	−	26.8812i	0.0336853	−	0.00902595i
$208$	−2381.33	+	1928.37i	−0.793826	+	0.642828i
$209$	−418.654	+	1288.49i	−0.138559	+	0.426442i
$210$	4273.19	+	475.210i	1.40418	+	0.156155i
$211$	−1271.60	−	3913.60i	−0.414885	−	1.27689i	−0.912353	−	0.409404i	$-0.865737\pi$
$211$	−1271.60	−	3913.60i	−0.414885	−	1.27689i	0.497468	−	0.867482i	$-0.334263\pi$
$212$	2197.77	+	1427.25i	0.711996	+	0.462376i
$213$	−206.506	+	3940.38i	−0.0664300	+	1.26756i
$214$	1004.52	−	4725.89i	0.320876	−	1.50960i
$215$	−124.430	−	2225.83i	−0.0394700	−	0.706047i
$216$	−1118.40	−	363.389i	−0.352302	−	0.114470i
$217$	2268.63	−	216.635i	0.709699	−	0.0677701i
$218$	2506.32	−	2506.32i	0.778667	−	0.778667i
$219$	4902.96	+	515.322i	1.51284	+	0.159006i
$220$	−2062.03	+	1869.71i	−0.631918	+	0.572981i
$221$	−228.570	−	2174.70i	−0.0695713	−	0.661927i
$222$	284.114	−	109.061i	0.0858942	−	0.0329717i
$223$	1878.13	−	3686.03i	0.563985	−	1.10688i	−0.416288	−	0.909233i	$-0.636669\pi$
$223$	1878.13	−	3686.03i	0.563985	−	1.10688i	0.980273	−	0.197650i	$-0.0633309\pi$
$224$	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
$227$	−1338.03	+	868.925i	−0.391225	+	0.254064i	−0.725230	−	0.688507i	$-0.758266\pi$
$227$	−1338.03	+	868.925i	−0.391225	+	0.254064i	0.334005	+	0.942571i	$0.391600\pi$
$228$	−701.142	−	567.774i	−0.203659	−	0.164920i
$229$	−3915.24	−	1743.18i	−1.12981	−	0.503023i	−0.245254	−	0.969459i	$-0.578871\pi$
$229$	−3915.24	−	1743.18i	−1.12981	−	0.503023i	−0.884555	+	0.466436i	$0.845538\pi$
$230$	668.388	+	482.063i	0.191618	+	0.138201i
$231$	1690.00	+	4531.01i	0.481357	+	1.29056i
$232$	1816.17	+	1816.17i	0.513954	+	0.513954i
$233$	−1541.30	−	1903.35i	−0.433365	−	0.535162i	0.512945	−	0.858422i	$-0.328555\pi$
$233$	−1541.30	−	1903.35i	−0.433365	−	0.535162i	−0.946310	+	0.323260i	$0.895221\pi$
$234$	496.459	+	551.374i	0.138695	+	0.154036i
$235$	−122.532	+	322.562i	−0.0340132	+	0.0895387i
$236$	−1088.69	−	980.264i	−0.300288	−	0.270380i
$237$	−3165.33	−	6212.31i	−0.867554	−	1.70267i
$238$	3033.27	+	2248.22i	0.826126	+	0.612312i
$239$	6163.04	−	2002.49i	1.66801	−	0.541968i	0.685480	−	0.728091i	$-0.259592\pi$
$239$	6163.04	−	2002.49i	1.66801	−	0.541968i	0.982526	+	0.186123i	$0.0595922\pi$
$240$	1788.83	+	4611.95i	0.481118	+	1.24042i
$241$	−2804.65	+	2525.32i	−0.749641	+	0.674980i	−0.952606	−	0.304206i	$-0.901609\pi$
$241$	−2804.65	+	2525.32i	−0.749641	+	0.674980i	0.202965	+	0.979186i	$0.434942\pi$
$242$	−2697.44	−	1035.45i	−0.716519	−	0.275046i
$243$	−369.853	+	1380.31i	−0.0976381	+	0.364390i
$244$	1203.19	+	874.168i	0.315681	+	0.229356i
$245$	3763.00	−	738.891i	0.981262	−	0.192678i
$246$	149.027	−	108.275i	0.0386245	−	0.0280623i
$247$	414.127	+	1078.84i	0.106681	+	0.277914i
$248$	636.308	+	979.829i	0.162926	+	0.250884i
$249$	3478.82	+	2008.50i	0.885387	+	0.511179i
$250$	−4320.53	−	2742.00i	−1.09302	−	0.693677i
$251$			5850.69i			1.47128i	0.677370	+	0.735642i	$0.263119\pi$
$251$			5850.69i			1.47128i	−0.677370	+	0.735642i	$0.736881\pi$
$252$	−516.630	−	4.91695i	−0.129145	−	0.00122912i
$253$	−144.999	+	915.489i	−0.0360317	+	0.227495i
$254$	−3712.49	+	8338.39i	−0.917096	+	2.05983i
$255$	−3455.47	−	721.906i	−0.848587	−	0.177284i
$256$	4902.11	−	2182.56i	1.19680	−	0.532851i
$257$	5779.28	+	1548.55i	1.40273	+	0.375860i	0.879324	−	0.476224i	$-0.157995\pi$
$257$	5779.28	+	1548.55i	1.40273	+	0.375860i	0.523405	+	0.852084i	$0.324661\pi$
$258$	647.688	+	4089.34i	0.156292	+	0.986788i
$259$	212.562	−	168.806i	0.0509961	−	0.0404984i
$260$	−363.235	+	2346.26i	−0.0866418	+	0.559650i
$261$	933.918	−	1037.22i	0.221487	−	0.245986i
$262$	−10499.4	−	550.253i	−2.47579	−	0.129751i
$263$	−4050.19	−	212.261i	−0.949601	−	0.0497665i	−0.428759	−	0.903419i	$-0.641049\pi$
$263$	−4050.19	−	212.261i	−0.949601	−	0.0497665i	−0.520843	+	0.853653i	$0.674382\pi$
$264$	−1658.88	+	1842.37i	−0.386730	+	0.429508i
$265$	−5348.94	+	866.306i	−1.23993	+	0.200818i
$266$	−1855.88	−	732.745i	−0.427787	−	0.168900i
$267$	−488.462	−	3084.03i	−0.111960	−	0.706889i
$268$	1858.09	+	497.875i	0.423512	+	0.113480i
$269$	−7610.41	+	3388.37i	−1.72496	+	0.768003i	−0.728400	+	0.685152i	$0.759736\pi$
$269$	−7610.41	+	3388.37i	−1.72496	+	0.768003i	−0.996562	+	0.0828508i	$0.973598\pi$
$270$	−4624.80	+	2078.43i	−1.04243	+	0.468479i
$271$	654.364	−	1469.73i	0.146678	−	0.329445i	−0.825233	−	0.564792i	$-0.808956\pi$
$271$	654.364	−	1469.73i	0.146678	−	0.329445i	0.971911	+	0.235348i	$0.0756229\pi$
$272$	−679.540	+	4290.45i	−0.151482	+	0.956422i
$273$	3552.45	+	2096.34i	0.787561	+	0.464748i
$274$		−	8383.68i		−	1.84845i
$275$	561.714	−	5728.10i	0.123173	−	1.25606i
$276$	−534.557	−	308.627i	−0.116582	−	0.0673085i
$277$	2774.90	+	4272.97i	0.601904	+	0.926851i	0.999955	+	0.00948734i	$0.00301996\pi$
$277$	2774.90	+	4272.97i	0.601904	+	0.926851i	−0.398051	+	0.917363i	$0.630313\pi$
$278$	−1805.80	−	4704.27i	−0.389585	−	1.01490i
$279$	513.621	−	373.168i	0.110214	−	0.0800751i
$280$	1227.98	+	1535.27i	0.262091	+	0.327678i
$281$	3813.85	+	2770.92i	0.809662	+	0.588254i	0.913733	−	0.406316i	$-0.133187\pi$
$281$	3813.85	+	2770.92i	0.809662	+	0.588254i	−0.104070	+	0.994570i	$0.533187\pi$
$282$	165.861	−	619.001i	0.0350243	−	0.130713i
$283$	1386.50	+	532.229i	0.291234	+	0.111794i	0.499599	−	0.866257i	$-0.333481\pi$
$283$	1386.50	+	532.229i	0.291234	+	0.111794i	−0.208365	+	0.978051i	$0.566814\pi$
$284$	2795.81	−	2517.36i	0.584158	−	0.525978i
$285$	1862.63	−	104.126i	0.387132	−	0.0216417i
$286$	−6297.38	+	2046.14i	−1.30200	+	0.423045i
$287$	97.8333	−	131.996i	0.0201217	−	0.0271480i
$288$	−491.229	−	964.092i	−0.100507	−	0.197256i
$289$	1347.39	+	1213.19i	0.274250	+	0.246935i
$290$	11061.2	+	541.049i	2.23978	+	0.109557i
$291$	−4690.41	−	5209.22i	−0.944868	−	1.04938i
$292$	−2958.13	−	3652.98i	−0.592847	−	0.732105i
$293$	−1938.99	−	1938.99i	−0.386612	−	0.386612i	0.486865	−	0.873477i	$-0.338140\pi$
$293$	−1938.99	−	1938.99i	−0.386612	−	0.386612i	−0.873477	+	0.486865i	$0.838140\pi$
$294$	−6814.27	+	2071.56i	−1.35176	+	0.410938i
$295$	3029.21	−	10.5559i	0.597856	−	0.00208335i
$296$	127.123	+	56.5987i	0.0249624	+	0.0111140i
$297$	−4432.00	−	3588.96i	−0.865895	−	0.701188i
$298$	2459.87	−	1597.46i	0.478177	−	0.310532i
$299$	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
$303$	−2505.28	+	961.687i	−0.474999	+	0.182335i
$304$	−239.959	−	2283.06i	−0.0452717	−	0.430732i
$305$	−3057.23	+	332.103i	−0.573956	+	0.0623482i
$306$	1046.05	+	109.944i	0.195420	+	0.0205395i
$307$	4755.07	−	4755.07i	0.883994	−	0.883994i	−0.109944	−	0.993938i	$-0.535067\pi$
$307$	4755.07	−	4755.07i	0.883994	−	0.883994i	0.993938	+	0.109944i	$0.0350670\pi$
$308$	1915.40	−	4194.18i	0.354351	−	0.775927i
$309$	−351.996	−	114.371i	−0.0648038	−	0.0210560i
$310$	4870.29	+	1286.82i	0.892303	+	0.235762i
$311$	86.4570	−	406.748i	0.0157637	−	0.0741626i	−0.969563	−	0.244844i	$-0.921263\pi$
$311$	86.4570	−	406.748i	0.0157637	−	0.0741626i	0.985326	+	0.170681i	$0.0545967\pi$
$312$	−110.671	+	2111.73i	−0.0200818	+	0.383184i
$313$	948.181	+	615.756i	0.171228	+	0.111197i	0.627408	−	0.778691i	$-0.284116\pi$
$313$	948.181	+	615.756i	0.171228	+	0.111197i	−0.456180	+	0.889888i	$0.650783\pi$
$314$	−1072.15	−	3299.75i	−0.192692	−	0.593044i
$315$	798.211	−	710.040i	0.142775	−	0.127004i
$316$	−2054.26	+	6322.37i	−0.365700	+	1.12551i
$317$	8034.38	−	6506.11i	1.42352	−	1.15274i	0.459093	−	0.888388i	$-0.348174\pi$
$317$	8034.38	−	6506.11i	1.42352	−	1.15274i	0.964426	−	0.264355i	$-0.0851590\pi$
$318$	9720.71	−	2604.66i	1.71418	−	0.459314i
$319$	5066.32	+	11379.1i	0.889214	+	1.99721i
$320$	648.525	−	1470.38i	0.113293	−	0.256865i
$321$	−4398.31	−	6053.76i	−0.764766	−	1.05261i
$322$	−1332.52	−	296.517i	−0.230616	−	0.0513176i
$323$	1459.65	+	743.731i	0.251447	+	0.128119i
$324$	3941.26	−	2275.49i	0.675798	−	0.390172i
$325$	−2702.43	−	4098.55i	−0.461242	−	0.699528i
$326$	−1356.94	+	2350.30i	−0.230534	+	0.399297i
$327$	−287.303	−	5482.07i	−0.0485868	−	0.927092i
$328$	83.1916	+	13.1763i	0.0140045	+	0.00221810i
$329$	−24.4805	−	571.053i	−0.00410229	−	0.0956935i
$330$	37.2492	+	10689.3i	0.00621364	+	1.78311i
$331$	968.024	−	9210.13i	0.160747	−	1.52941i	−0.555473	−	0.831535i	$-0.687463\pi$
$331$	968.024	−	9210.13i	0.160747	−	1.52941i	0.716220	−	0.697874i	$-0.245871\pi$
$332$	−991.286	−	3699.53i	−0.163867	−	0.611561i
$333$	27.0987	−	70.5946i	0.00445946	−	0.0116173i
$334$	8789.80	−	1868.33i	1.43999	−	0.306079i
$335$	−3537.77	+	1818.14i	−0.576983	+	0.296525i
$336$	−5738.80	−	5849.09i	−0.931778	−	0.949684i
$337$	−5739.38	+	2924.36i	−0.927727	+	0.472701i	−0.851479	−	0.524388i	$-0.824294\pi$
$337$	−5739.38	+	2924.36i	−0.927727	+	0.472701i	−0.0762481	+	0.997089i	$0.524294\pi$
$338$	1305.26	−	2009.93i	0.210050	−	0.323449i
$339$	−11979.5	−	2546.33i	−1.91929	−	0.407957i
$340$	1842.96	+	2816.37i	0.293966	+	0.449232i
$341$	1178.00	+	5542.05i	0.187074	+	0.880114i
$342$	−549.006	+	86.9541i	−0.0868037	+	0.0137484i
$343$	−5243.74	+	3585.64i	−0.825467	+	0.564450i
$344$	−1112.77	+	1531.59i	−0.174408	+	0.240052i
$345$	1247.51	−	269.713i	0.194677	−	0.0420895i
$346$	13193.5	−	1386.69i	2.04996	−	0.215460i
$347$	−4271.33	+	5274.65i	−0.660798	+	0.816017i	−0.991825	−	0.127604i	$-0.959271\pi$
$347$	−4271.33	+	5274.65i	−0.660798	+	0.816017i	0.331028	+	0.943621i	$0.392605\pi$
$348$	−8283.50	+	434.120i	−1.27598	+	0.0668714i
$349$	−5857.65			−0.898433			−0.449216	−	0.893423i	$-0.648297\pi$
$349$	−5857.65			−0.898433			−0.449216	+	0.893423i	$0.648297\pi$
$350$	8368.85	+	1347.36i	1.27810	+	0.205770i
$351$	−4864.39			−0.739721
$352$	9643.24	−	505.381i	1.46019	−	0.0765253i
$353$	−3378.74	+	4172.40i	−0.509440	+	0.629106i	−0.965362	−	0.260914i	$-0.915976\pi$
$353$	−3378.74	+	4172.40i	−0.509440	+	0.629106i	0.455922	+	0.890020i	$0.349310\pi$
$354$	−5595.14	+	588.073i	−0.840052	+	0.0882930i
$355$	−786.182	+	7739.36i	−0.117539	+	1.15708i
$356$	−1749.92	+	2408.56i	−0.260521	+	0.358576i
$357$	5731.10	−	1161.29i	0.849641	−	0.172162i
$358$	−12094.8	+	1915.62i	−1.78555	+	0.282804i
$359$	−688.903	−	3241.03i	−0.101278	−	0.476477i	−0.999330	−	0.0365879i	$-0.988351\pi$
$359$	−688.903	−	3241.03i	−0.101278	−	0.476477i	0.898052	−	0.439889i	$-0.144982\pi$
$360$	511.980	+	194.486i	0.0749548	+	0.0284732i
$361$	5862.29	+	1246.07i	0.854686	+	0.181669i
$362$	86.2788	−	132.858i	0.0125268	−	0.0192896i
$363$	−3987.20	+	2031.58i	−0.576512	+	0.293748i
$364$	−981.707	−	3808.39i	−0.141361	−	0.548390i
$365$	9605.11	+	1487.01i	1.37741	+	0.213243i
$366$	5586.56	−	1187.46i	0.797854	−	0.169589i
$367$	267.393	−	696.583i	0.0380322	−	0.0990772i	−0.913249	−	0.407402i	$-0.866435\pi$
$367$	267.393	−	696.583i	0.0380322	−	0.0990772i	0.951281	+	0.308324i	$0.0997682\pi$
$368$	−406.499	−	1517.07i	−0.0575821	−	0.214899i
$369$	4.78432	−	45.5198i	0.000674965	−	0.00642186i
$370$	569.973	−	187.394i	0.0800851	−	0.0263301i
$371$	7574.08	−	4816.81i	1.05991	−	0.674060i
$372$	−3726.63	−	590.240i	−0.519400	−	0.0822649i
$373$	−246.856	−	4710.30i	−0.0342674	−	0.653861i	−0.960732	−	0.277478i	$-0.910501\pi$
$373$	−246.856	−	4710.30i	−0.0342674	−	0.653861i	0.926464	−	0.376382i	$-0.122832\pi$
$374$	−4693.41	+	8129.23i	−0.648905	+	1.12394i
$375$	−7633.45	+	2131.15i	−1.05117	+	0.293472i
$376$	253.764	−	146.511i	0.0348055	−	0.0200950i
$377$	9466.53	+	4823.44i	1.29324	+	0.658938i
$378$	5679.22	−	6187.96i	0.772772	−	0.841996i
$379$	−3441.45	−	4736.75i	−0.466426	−	0.641980i	0.509400	−	0.860530i	$-0.329867\pi$
$379$	−3441.45	−	4736.75i	−0.466426	−	0.641980i	−0.975826	+	0.218550i	$0.929867\pi$
$380$	−1325.98	−	1185.57i	−0.179003	−	0.160049i
$381$	5749.81	+	12914.3i	0.773154	+	1.73653i
$382$	7713.39	−	2066.80i	1.03312	−	0.276823i
$383$	−8518.92	+	6898.49i	−1.13654	+	0.920356i	−0.997551	−	0.0699378i	$-0.977720\pi$
$383$	−8518.92	+	6898.49i	−1.13654	+	0.920356i	−0.138993	+	0.990293i	$0.544387\pi$
$384$	2017.82	−	6210.22i	0.268155	−	0.825297i
$385$	2891.45	+	9085.09i	0.382759	+	1.20265i
$386$	−585.865	−	1803.11i	−0.0772532	−	0.237761i
$387$	862.785	+	560.299i	0.113328	+	0.0735959i
$388$	−349.785	+	6674.29i	−0.0457671	+	0.873288i
$389$	2304.27	−	10840.7i	0.300337	−	1.41298i	−0.526328	−	0.850282i	$-0.676431\pi$
$389$	2304.27	−	10840.7i	0.300337	−	1.41298i	0.826665	−	0.562694i	$-0.190235\pi$
$390$	5762.59	+	7065.72i	0.748206	+	0.917402i
$391$	1065.95	+	346.347i	0.137870	+	0.0447968i
$392$	−2872.99	−	1533.43i	−0.370173	−	0.197576i
$393$	−11514.2	+	11514.2i	−1.47790	+	1.47790i
$394$	−13669.1	−	1436.68i	−1.74782	−	0.183703i
$395$	−5634.69	−	12537.9i	−0.717752	−	1.59710i
$396$	−134.266	−	1277.45i	−0.0170382	−	0.162107i
$397$	7134.62	−	2738.72i	0.901955	−	0.346228i	0.137195	−	0.990544i	$-0.456191\pi$
$397$	7134.62	−	2738.72i	0.901955	−	0.346228i	0.764759	+	0.644316i	$0.222858\pi$
$398$	−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	$0.792850\pi$
$402$	6195.54	−	4023.43i	0.768671	−	0.499181i
$403$	3755.78	+	3041.37i	0.464240	+	0.375934i
$404$	2337.42	+	1040.68i	0.287848	+	0.128158i
$405$	−2876.74	+	8959.82i	−0.352954	+	1.09930i
$406$	−17188.1	+	6410.90i	−2.10107	+	0.783664i
$407$	477.184	+	477.184i	0.0581158	+	0.0581158i
$408$	1886.56	+	2329.71i	0.228919	+	0.282691i
$409$	8463.69	+	9399.87i	1.02323	+	1.13642i	0.990578	+	0.136949i	$0.0437295\pi$
$409$	8463.69	+	9399.87i	1.02323	+	1.13642i	0.0326549	+	0.999467i	$0.489604\pi$
$410$	303.888	−	198.856i	0.0366048	−	0.0239532i
$411$	−9649.31	−	8688.28i	−1.15807	−	1.04273i
$412$	160.206	+	314.423i	0.0191573	+	0.0375983i
$413$	−4603.32	+	1997.26i	−0.548461	+	0.237962i
$414$	−361.680	+	117.517i	−0.0429362	+	0.0139508i
$415$	6656.92	+	4290.15i	0.787410	+	0.507458i
$416$	6121.01	−	5511.38i	0.721412	−	0.649562i
$417$	−7285.86	−	2796.78i	−0.855612	−	0.328439i
$418$	1283.91	−	4791.62i	0.150235	−	0.560684i
$419$	−713.589	−	518.453i	−0.0832007	−	0.0604489i	0.545407	−	0.838171i	$-0.316375\pi$
$419$	−713.589	−	518.453i	−0.0832007	−	0.0604489i	−0.628608	+	0.777722i	$0.716375\pi$
$420$	−6338.26	−	370.526i	−0.736370	−	0.0430472i
$421$	8896.35	−	6463.57i	1.02988	−	0.748255i	0.0615990	−	0.998101i	$-0.480380\pi$
$421$	8896.35	−	6463.57i	1.02988	−	0.748255i	0.968286	+	0.249846i	$0.0803800\pi$
$422$	5399.63	+	14066.5i	0.622867	+	1.62262i
$423$	−86.7230	−	133.542i	−0.00996836	−	0.0153499i
$424$	3985.08	+	2300.78i	0.456444	+	0.263528i
$425$	−6734.85	−	1754.38i	−0.768678	−	0.200236i
$426$		−	14447.7i		−	1.64318i
$427$	4435.67	−	2504.95i	0.502710	−	0.283895i
$428$	−1116.09	+	7046.74i	−0.126048	+	0.795835i
$429$	−4171.14	+	9368.54i	−0.469428	+	1.05435i
$430$	881.519	+	8114.98i	0.0988620	+	0.910090i
$431$	−2382.36	+	1060.70i	−0.266252	+	0.118543i	−0.535521	−	0.844522i	$-0.679885\pi$
$431$	−2382.36	+	1060.70i	−0.266252	+	0.118543i	0.269269	+	0.963065i	$0.413218\pi$
$432$	9334.06	+	2501.05i	1.03955	+	0.278546i
$433$	−830.931	−	5246.29i	−0.0922217	−	0.582265i	−0.989917	−	0.141648i	$-0.954760\pi$
$433$	−830.931	−	5246.29i	−0.0922217	−	0.582265i	0.897695	−	0.440617i	$-0.145240\pi$
$434$	−8253.82	+	1226.87i	−0.912894	+	0.135695i
$435$	12085.8	−	12170.3i	1.33212	−	1.34143i
$436$	−3502.29	+	3889.69i	−0.384700	+	0.427253i
$437$	−591.499	−	30.9991i	−0.0647488	−	0.00339334i
$438$	−18026.6	−	944.734i	−1.96654	−	0.103062i
$439$	7520.46	−	8352.32i	0.817613	−	0.908051i	−0.179517	−	0.983755i	$-0.557454\pi$
$439$	7520.46	−	8352.32i	0.817613	−	0.908051i	0.997130	+	0.0757034i	$0.0241202\pi$
$440$	−3444.06	+	3468.15i	−0.373157	+	0.375767i
$441$	−750.428	+	1602.68i	−0.0810310	+	0.173057i
$442$	1252.51	+	7908.05i	0.134787	+	0.851013i
$443$	−10002.4	−	2680.14i	−1.07275	−	0.287443i	−0.321128	−	0.947036i	$-0.604062\pi$
$443$	−10002.4	−	2680.14i	−1.07275	−	0.287443i	−0.751623	+	0.659593i	$0.770729\pi$
$444$	−410.545	+	182.787i	−0.0438820	+	0.0195375i
$445$	−664.808	−	6120.01i	−0.0708201	−	0.651946i
$446$	−6161.08	+	13838.0i	−0.654116	+	1.46917i
$447$	710.628	−	4486.73i	0.0751936	−	0.474754i
$448$	−25.3348	+	2661.96i	−0.00267178	+	0.280727i
$449$		−	18171.0i		−	1.90989i	−0.296776	−	0.954947i	$-0.595912\pi$
$449$		−	18171.0i		−	1.90989i	0.296776	−	0.954947i	$-0.404088\pi$
$450$	2198.62	−	861.600i	0.230320	−	0.0902583i
$451$	353.751	+	204.238i	0.0369346	+	0.0213242i
$452$	6359.83	+	9793.28i	0.661817	+	1.01911i
$453$	167.928	+	437.468i	0.0174171	+	0.0453731i
$454$	4726.03	−	3433.66i	0.488554	−	0.354956i
$455$	6793.45	+	4470.21i	0.699960	+	0.460586i
$456$	−1281.67	−	931.190i	−0.131622	−	0.0956293i
$457$	−1762.60	+	6578.13i	−0.180418	+	0.673330i	0.815147	+	0.579254i	$0.196656\pi$
$457$	−1762.60	+	6578.13i	−0.180418	+	0.673330i	−0.995565	+	0.0940755i	$0.970010\pi$
$458$	14650.3	+	5623.71i	1.49468	+	0.573752i
$459$	−5124.68	+	4614.28i	−0.521132	+	0.469229i
$460$	−1022.91	−	659.226i	−0.103681	−	0.0668186i
$461$	13753.8	−	4468.88i	1.38954	−	0.451489i	0.483746	−	0.875208i	$-0.339276\pi$
$461$	13753.8	−	4468.88i	1.38954	−	0.451489i	0.905793	+	0.423720i	$0.139276\pi$
$462$	−7047.81	−	16244.0i	−0.709727	−	1.63579i
$463$	−2411.22	−	4732.28i	−0.242028	−	0.475006i	0.737755	−	0.675068i	$-0.235886\pi$
$463$	−2411.22	−	4732.28i	−0.242028	−	0.475006i	−0.979783	+	0.200062i	$0.935886\pi$
$464$	−15684.9	−	14122.8i	−1.56930	−	1.41300i
$465$	6528.32	−	4271.96i	0.651062	−	0.426037i
$466$	6000.57	+	6664.31i	0.596505	+	0.662486i
$467$	−1167.73	−	1442.03i	−0.115709	−	0.142889i	0.716000	−	0.698100i	$-0.245971\pi$
$467$	−1167.73	−	1442.03i	−0.115709	−	0.142889i	−0.831710	+	0.555211i	$0.812638\pi$
$468$	−774.724	−	774.724i	−0.0765206	−	0.0765206i
$469$	4195.10	−	5080.88i	0.413031	−	0.500241i
$470$	386.229	−	1202.94i	0.0379052	−	0.118058i
$471$	−4909.01	−	2185.63i	−0.480244	−	0.213819i
$472$	−1999.17	−	1618.90i	−0.194956	−	0.157873i
$473$	−7699.88	+	5000.36i	−0.748501	+	0.486082i
$474$	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
$478$	−22151.6	+	8503.21i	−2.11965	+	0.813657i
$479$	1800.78	+	17133.3i	0.171774	+	1.63432i	0.652741	+	0.757581i	$0.273619\pi$
$479$	1800.78	+	17133.3i	0.171774	+	1.63432i	−0.480967	+	0.876739i	$0.659714\pi$
$480$	−5450.62	−	12128.4i	−0.518303	−	1.15329i
$481$	572.461	+	60.1681i	0.0542661	+	0.00570360i
$482$	9771.38	−	9771.38i	0.923391	−	0.923391i
$483$	−1722.21	+	1226.39i	−0.162243	+	0.115533i
$484$	4057.84	+	1318.47i	0.381090	+	0.123823i
$485$	−8734.43	−	10709.6i	−0.817753	−	1.00268i
$486$	1087.87	−	5118.02i	0.101537	−	0.477692i
$487$	−400.435	+	7640.75i	−0.0372596	+	0.710956i	0.914588	+	0.404386i	$0.132515\pi$
$487$	−400.435	+	7640.75i	−0.0372596	+	0.710956i	−0.951848	+	0.306570i	$0.900819\pi$
$488$	2190.20	+	1422.33i	0.203167	+	0.131938i
$489$	1298.86	+	3997.48i	0.120116	+	0.369678i
$490$	−13618.0	+	3422.89i	−1.25550	+	0.315572i
$491$	−2772.50	+	8532.86i	−0.254829	+	0.784282i	0.739035	+	0.673668i	$0.235282\pi$
$491$	−2772.50	+	8532.86i	−0.254829	+	0.784282i	−0.993863	+	0.110615i	$0.964718\pi$
$492$	−211.398	+	171.186i	−0.0193710	+	0.0156863i
$493$	14548.5	−	3898.26i	1.32907	−	0.356124i
$494$	−1721.01	−	3865.45i	−0.156745	−	0.352054i
$495$	1979.99	+	1770.33i	0.179785	+	0.160749i
$496$	−5643.06	−	7767.01i	−0.510848	−	0.703123i
$497$	−3865.25	−	12292.9i	−0.348854	−	1.10948i
$498$	−13105.3	−	6677.50i	−1.17925	−	0.600855i
$499$	14142.1	−	8164.94i	1.26871	−	0.732490i	0.293967	−	0.955816i	$-0.405025\pi$
$499$	14142.1	−	8164.94i	1.26871	−	0.732490i	0.974744	+	0.223325i	$0.0716912\pi$
$500$	6583.25	+	3709.63i	0.588824	+	0.331799i
$501$	6958.78	−	12053.0i	0.620550	−	1.07482i
$502$	−1121.17	−	21393.3i	−0.0996821	−	1.90205i
$503$	−4695.86	−	743.751i	−0.416259	−	0.0659289i	−0.0552075	−	0.998475i	$-0.517582\pi$
$503$	−4695.86	−	743.751i	−0.416259	−	0.0659289i	−0.361051	+	0.932546i	$0.617582\pi$
$504$	−906.393	+	38.8562i	−0.0801071	+	0.00343411i
$505$	−5025.94	+	1652.41i	−0.442874	+	0.145607i
$506$	354.759	−	3375.31i	0.0311679	−	0.296543i
$507$	−960.669	−	3585.27i	−0.0841515	−	0.314058i
$508$	4830.26	−	12583.3i	0.421867	−	1.09900i
$509$	11741.6	−	2495.75i	1.02247	−	0.217332i	0.333979	−	0.942580i	$-0.391608\pi$
$509$	11741.6	−	2495.75i	1.02247	−	0.217332i	0.688487	+	0.725248i	$0.258275\pi$
$510$	12773.4	+	1977.50i	1.10905	+	0.171697i
$511$	−15590.8	+	4018.90i	−1.34970	+	0.347917i
$512$	−9298.85	+	4738.00i	−0.802647	+	0.408969i
$513$	1984.83	−	3056.36i	0.170823	−	0.263044i
$514$	−21428.9	−	4554.85i	−1.83889	−	0.390868i
$515$	−682.123	−	259.119i	−0.0583649	−	0.0221711i
$516$	−1271.16	−	5980.36i	−0.108449	−	0.510214i
$517$	1403.55	−	222.300i	0.119396	−	0.0189105i
$518$	−744.894	+	657.978i	−0.0631829	+	0.0558106i
$519$	12076.8	−	16622.3i	1.02141	−	1.40585i
$520$	−421.332	+	4147.69i	−0.0355320	+	0.349785i
$521$	5191.14	−	545.611i	0.436522	−	0.0458804i	0.116281	−	0.993216i	$-0.462903\pi$
$521$	5191.14	−	545.611i	0.436522	−	0.0458804i	0.320241	+	0.947336i	$0.396236\pi$
$522$	−3216.14	+	3971.60i	−0.269668	+	0.333012i
$523$	22807.0	−	1195.26i	1.90684	−	0.0999334i	0.937853	−	0.347033i	$-0.112811\pi$
$523$	22807.0	−	1195.26i	1.90684	−	0.0999334i	0.968990	+	0.247100i	$0.0794776\pi$
$524$	15525.7			1.29436
$525$	10223.7	−	8235.93i	0.849901	−	0.684658i
$526$	14850.3			1.23100
$527$	6841.74	−	358.561i	0.565524	−	0.0296378i
$528$	12820.7	−	15832.3i	1.05672	−	1.30494i
$529$	11697.3	−	1229.44i	0.961398	−	0.101047i
$530$	19392.6	−	4192.70i	1.58936	−	0.343621i
$531$	−821.662	+	1130.92i	−0.0671508	+	0.0924252i
$532$	2793.43	+	937.125i	0.227652	+	0.0763713i
$533$	344.126	−	54.5043i	0.0279658	−	0.00442935i
$534$	2377.07	+	11183.2i	0.192633	+	0.906267i
$535$	−8077.91	−	12344.5i	−0.652782	−	0.997569i
$536$	3304.03	+	702.293i	0.266254	+	0.0565941i
$537$	−10329.4	+	15905.9i	−0.830067	+	1.27819i
$538$	27178.4	−	13848.1i	2.17796	−	1.10973i
$539$	−10342.5	−	11935.7i	−0.826497	−	0.953817i
$540$	6659.40	−	3422.42i	0.530695	−	0.272736i
$541$	−9100.23	+	1934.31i	−0.723196	+	0.153720i	−0.554782	−	0.831996i	$-0.687198\pi$
$541$	−9100.23	+	1934.31i	−0.723196	+	0.153720i	−0.168415	+	0.985716i	$0.553865\pi$
$542$	−2111.06	+	5499.50i	−0.167302	+	0.435837i
$543$	−63.5009	−	236.989i	−0.00501857	−	0.0187296i
$544$	1220.53	−	11612.6i	0.0961947	−	0.915231i
$545$	−37.7142	−	10822.8i	−0.00296422	−	0.850636i
$546$	−13391.4	−	6984.58i	−1.04963	−	0.547459i
$547$	4362.44	+	690.942i	0.340995	+	0.0540083i	0.324584	−	0.945857i	$-0.394776\pi$
$547$	4362.44	+	690.942i	0.340995	+	0.0540083i	0.0164116	+	0.999865i	$0.494776\pi$
$548$	647.924	+	12363.1i	0.0505072	+	0.963735i
$549$	709.559	−	1228.99i	0.0551607	−	0.0955412i
$550$	−956.246	+	21052.6i	−0.0741354	+	1.63216i
$551$	−6893.28	+	3979.84i	−0.532965	+	0.307707i
$552$	−965.741	−	492.070i	−0.0744650	−	0.0379418i
$553$	16775.7	+	15396.5i	1.29001	+	1.18396i
$554$	−10965.3	−	15092.5i	−0.840925	−	1.15743i
$555$	374.998	−	850.221i	0.0286807	−	0.0650268i
$556$	3026.52	+	6797.68i	0.230851	+	0.518499i
$557$	−11270.3	+	3019.87i	−0.857341	+	0.229724i	−0.660606	−	0.750733i	$-0.729701\pi$
$557$	−11270.3	+	3019.87i	−0.857341	+	0.229724i	−0.196735	+	0.980457i	$0.563034\pi$
$558$	−1806.56	+	1462.93i	−0.137057	+	0.110987i
$559$	−2419.95	+	7447.83i	−0.183100	+	0.563524i
$560$	−10737.3	−	12070.6i	−0.810236	−	0.910849i
$561$	4492.51	+	13826.5i	0.338100	+	1.04056i
$562$	−14476.5	−	9401.13i	−1.08657	−	0.705628i
$563$	−499.107	+	9523.52i	−0.0373621	+	0.712910i	0.914164	+	0.405344i	$0.132848\pi$
$563$	−499.107	+	9523.52i	−0.0373621	+	0.712910i	−0.951526	+	0.307567i	$0.900485\pi$
$564$	−196.750	+	925.638i	−0.0146892	+	0.0691071i
$565$	−23344.4	−	6168.01i	−1.73824	−	0.459275i
$566$	−5171.79	−	1680.42i	−0.384076	−	0.124794i
$567$	−1481.80	−	15517.6i	−0.109753	−	1.14935i
$568$	4671.27	−	4671.27i	0.345074	−	0.345074i
$569$	−8550.06	−	898.647i	−0.629942	−	0.0662096i	−0.215823	−	0.976432i	$-0.569244\pi$
$569$	−8550.06	−	898.647i	−0.629942	−	0.0662096i	−0.414119	+	0.910223i	$0.635910\pi$
$570$	−6790.81	+	737.677i	−0.499010	+	0.0542068i
$571$	422.626	+	4021.02i	0.0309743	+	0.294701i	0.999033	+	0.0439758i	$0.0140024\pi$
$571$	422.626	+	4021.02i	0.0309743	+	0.294701i	−0.968058	+	0.250725i	$0.919331\pi$
$572$	9128.40	−	3504.07i	0.667269	−	0.256140i
$573$	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
$577$	1304.67	−	847.266i	0.0941323	−	0.0611302i	−0.496715	−	0.867914i	$-0.665460\pi$
$577$	1304.67	−	847.266i	0.0941323	−	0.0611302i	0.590847	+	0.806784i	$0.298794\pi$
$578$	−5159.26	−	4177.89i	−0.371275	−	0.300652i
$579$	−2682.46	−	1194.31i	−0.192538	−	0.0857233i
$580$	−16353.4	+	56.9868i	−1.17075	+	0.00407974i
$581$	−12937.2	−	2175.46i	−0.923796	−	0.155341i
$582$	18148.9	+	18148.9i	1.29260	+	1.29260i
$583$	14043.8	+	17342.7i	0.997660	+	1.23201i
$584$	−5522.96	−	6133.87i	−0.391339	−	0.434626i
$585$	2262.78	+	110.682i	0.159922	+	0.00782246i
$586$	7461.58	+	6718.43i	0.525998	+	0.473611i
$587$	−7022.00	−	13781.5i	−0.493746	−	0.969032i	−0.994628	−	0.103516i	$-0.966991\pi$
$587$	−7022.00	−	13781.5i	−0.493746	−	0.969032i	0.500881	−	0.865516i	$-0.333009\pi$
$588$	9888.67	−	3581.49i	0.693541	−	0.251187i
$589$	−3443.41	+	1118.83i	−0.240888	+	0.0782694i
$590$	−11074.4	+	619.089i	−0.772755	+	0.0431991i
$591$	−15819.3	+	14243.8i	−1.10105	+	0.991388i
$592$	−1067.54	−	409.788i	−0.0741139	−	0.0284497i
$593$	1032.73	−	3854.22i	0.0715166	−	0.266903i	−0.920904	−	0.389789i	$-0.872548\pi$
$593$	1032.73	−	3854.22i	0.0715166	−	0.266903i	0.992421	+	0.122885i	$0.0392147\pi$
$594$	16893.5	+	12273.9i	1.16692	+	0.847816i
$595$	11397.3	−	1734.75i	0.785286	−	0.119526i
$596$	−3504.04	+	2545.83i	−0.240824	+	0.174969i
$597$	6682.18	+	17407.7i	0.458096	+	1.19338i
$598$	−1576.66	−	2427.85i	−0.107817	−	0.166024i
$599$	343.689	+	198.429i	0.0234437	+	0.0135352i	0.511676	−	0.859178i	$-0.329025\pi$
$599$	343.689	+	198.429i	0.0234437	+	0.0135352i	−0.488232	+	0.872714i	$0.662358\pi$
$600$	6167.37	+	2694.54i	0.419636	+	0.183341i
$601$			8246.41i			0.559697i	0.960044	+	0.279849i	$0.0902843\pi$
$601$			8246.41i			0.559697i	−0.960044	+	0.279849i	$0.909716\pi$
$602$	−6649.03	−	11773.8i	−0.450156	−	0.797118i
$603$	287.143	−	1812.95i	0.0193920	−	0.122436i
$604$	181.722	−	408.155i	0.0122420	−	0.0274960i
$605$	−8047.15	+	3616.47i	−0.540765	+	0.243026i
$606$	8976.36	−	3996.53i	0.601716	−	0.267901i
$607$	−23799.2	−	6376.99i	−1.59140	−	0.426415i	−0.648971	−	0.760813i	$-0.724800\pi$
$607$	−23799.2	−	6376.99i	−1.59140	−	0.426415i	−0.942432	+	0.334398i	$0.891467\pi$
$608$	965.311	+	6094.73i	0.0643890	+	0.406536i
$609$	−10433.9	+	26426.8i	−0.694259	+	1.75840i
$610$	11115.2	−	1800.21i	0.737776	−	0.119489i
$611$	811.052	−	900.764i	0.0537015	−	0.0596416i
$612$	−1551.07	−	81.2881i	−0.102448	−	0.00536908i
$613$	−17969.2	−	941.725i	−1.18396	−	0.0620488i	−0.549832	−	0.835275i	$-0.685308\pi$
$613$	−17969.2	−	941.725i	−1.18396	−	0.0620488i	−0.634130	+	0.773226i	$0.718642\pi$
$614$	−16475.9	+	18298.3i	−1.08292	+	1.20270i
$615$	86.0529	−	555.846i	0.00564225	−	0.0364453i
$616$	2973.33	−	7530.76i	0.194478	−	0.492570i
$617$	2634.93	+	16636.3i	0.171926	+	1.08550i	0.911161	+	0.412051i	$0.135187\pi$
$617$	2634.93	+	16636.3i	0.171926	+	1.08550i	−0.739235	+	0.673448i	$0.764813\pi$
$618$	1309.00	+	350.747i	0.0852037	+	0.0228303i
$619$	24078.4	−	10720.4i	1.56348	−	0.696105i	0.571278	−	0.820757i	$-0.306448\pi$
$619$	24078.4	−	10720.4i	1.56348	−	0.696105i	0.992201	+	0.124651i	$0.0397813\pi$
$620$	−7281.50	−	1521.23i	−0.471665	−	0.0985389i
$621$	1014.11	−	2277.74i	0.0655314	−	0.147186i
$622$	−238.188	+	1503.86i	−0.0153544	+	0.0969440i
$623$	5014.44	+	8879.37i	0.322471	+	0.571018i
$624$		−	17376.9i		−	1.11479i
$625$	−15236.8	+	3461.33i	−0.975155	+	0.221525i
$626$	−3585.06	−	2069.83i	−0.228894	−	0.132152i
$627$	−4184.42	−	6443.45i	−0.266523	−	0.410409i
$628$	1836.09	+	4783.18i	0.116669	+	0.303932i
$629$	660.168	−	479.640i	0.0418484	−	0.0304046i
$630$	−2782.62	+	2749.25i	−0.175972	+	0.173862i
$631$	−5818.38	−	4227.30i	−0.367078	−	0.266698i	0.388920	−	0.921271i	$-0.372848\pi$
$631$	−5818.38	−	4227.30i	−0.367078	−	0.266698i	−0.755998	+	0.654574i	$0.772848\pi$
$632$	−3021.24	+	11275.4i	−0.190156	+	0.709672i
$633$	21785.9	+	8362.82i	1.36795	+	0.525106i
$634$	−28131.2	+	25329.5i	−1.76220	+	1.58669i
$635$	10078.4	+	25984.2i	0.629843	+	1.62386i
$636$	−14133.5	+	4592.26i	−0.881180	+	0.286313i
$637$	−13262.7	−	2360.20i	−0.824944	−	0.146805i
$638$	−20705.8	−	40637.4i	−1.28487	−	2.52171i
$639$	−2667.78	−	2402.08i	−0.165158	−	0.148709i
$640$	4571.60	−	12034.6i	0.282357	−	0.743295i
$641$	2257.04	+	2506.69i	0.139076	+	0.154459i	0.808659	−	0.588278i	$-0.200194\pi$
$641$	2257.04	+	2506.69i	0.139076	+	0.154459i	−0.669583	+	0.742737i	$0.733527\pi$
$642$	17242.7	+	21292.9i	1.05999	+	1.30898i
$643$	−6544.77	−	6544.77i	−0.401401	−	0.401401i	0.477326	−	0.878726i	$-0.341606\pi$
$643$	−6544.77	−	6544.77i	−0.401401	−	0.401401i	−0.878726	+	0.477326i	$0.841606\pi$
$644$	1987.93	+	334.282i	0.121639	+	0.0204543i
$645$	10253.6	+	7395.22i	0.625945	+	0.451452i
$646$	−5479.80	−	2439.77i	−0.333746	−	0.148593i
$647$	3056.58	+	2475.17i	0.185729	+	0.150400i	0.717676	−	0.696377i	$-0.245206\pi$
$647$	3056.58	+	2475.17i	0.185729	+	0.150400i	−0.531947	+	0.846778i	$0.678539\pi$
$648$	6702.11	−	4352.40i	0.406302	−	0.263856i
$649$	−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
$653$	−16097.8	+	6179.38i	−0.964712	+	0.370318i	−0.789184	−	0.614156i	$-0.789496\pi$
$653$	−16097.8	+	6179.38i	−0.964712	+	0.370318i	−0.175527	+	0.984475i	$0.556163\pi$
$654$	2101.07	+	19990.3i	0.125624	+	1.19523i
$655$	−23782.5	+	21564.4i	−1.41872	+	1.28640i
$656$	−688.353	−	72.3488i	−0.0409690	−	0.00430601i
$657$	−3171.56	+	3171.56i	−0.188332	+	0.188332i
$658$	198.945	+	2083.38i	0.0117868	+	0.123433i
$659$	6615.94	+	2149.65i	0.391078	+	0.127069i	0.497954	−	0.867203i	$-0.334085\pi$
$659$	6615.94	+	2149.65i	0.391078	+	0.127069i	−0.106876	+	0.994272i	$0.534085\pi$
$660$	−881.044	−	15760.3i	−0.0519615	−	0.929499i
$661$	−3589.14	+	16885.6i	−0.211197	+	0.993606i	0.736992	+	0.675901i	$0.236245\pi$
$661$	−3589.14	+	16885.6i	−0.211197	+	0.993606i	−0.948190	+	0.317705i	$0.897088\pi$
$662$	−1774.67	+	33862.7i	−0.104191	+	1.98808i
$663$	10399.9	+	6753.78i	0.609199	+	0.395618i
$664$	−2078.27	−	6396.25i	−0.121464	−	0.373829i
$665$	−5580.64	+	2444.43i	−0.325425	+	0.142543i
$666$	−85.5594	+	263.325i	−0.00497802	+	0.0153208i
$667$	−4232.12	+	3427.10i	−0.245680	+	0.198947i
$668$	−12817.6	+	3434.48i	−0.742409	+	0.198928i
$669$	9542.13	+	21432.0i	0.551450	+	1.23858i
$670$	12587.6	−	7326.05i	0.725822	−	0.422433i
$671$	7444.20	+	10246.1i	0.428287	+	0.589486i
$672$	16227.7	+	14893.6i	0.931544	+	0.854958i
$673$	491.355	+	250.358i	0.0281431	+	0.0143397i	0.468005	−	0.883726i	$-0.344973\pi$
$673$	491.355	+	250.358i	0.0281431	+	0.0143397i	−0.439862	+	0.898065i	$0.644973\pi$
$674$	20425.9	−	11792.9i	1.16732	−	0.673954i
$675$	−5447.41	+	14492.1i	−0.310623	+	0.826370i
$676$	−1769.49	+	3064.85i	−0.100677	+	0.174377i
$677$	1322.21	+	25229.4i	0.0750618	+	1.43226i	0.733531	+	0.679656i	$0.237871\pi$
$677$	1322.21	+	25229.4i	0.0750618	+	1.43226i	−0.658469	+	0.752608i	$0.728796\pi$
$678$	44291.6	+	7015.09i	2.50886	+	0.397364i
$679$	20297.5	+	10586.6i	1.14720	+	0.598346i
$680$	3490.56	+	4769.30i	0.196848	+	0.268962i
$681$	945.719	−	8997.91i	0.0532159	−	0.506315i
$682$	−5369.43	−	20039.0i	−0.301475	−	1.12512i
$683$	4997.35	−	13018.5i	0.279968	−	0.729342i	−0.719427	−	0.694568i	$-0.755596\pi$
$683$	4997.35	−	13018.5i	0.279968	−	0.729342i	0.999395	−	0.0347740i	$-0.0110711\pi$
$684$	802.881	−	170.658i	0.0448815	−	0.00953985i
$685$	−18164.2	−	18038.1i	−1.01317	−	1.00613i
$686$	18486.8	−	14115.9i	1.02891	−	0.785638i
$687$	21655.2	−	11033.9i	1.20262	−	0.612764i
$688$	8472.88	−	13047.1i	0.469514	−	0.722988i
$689$	18618.7	+	3957.52i	1.02949	+	0.218824i
$690$	−4509.88	+	1225.28i	−0.248823	+	0.0676022i
$691$	−776.577	−	3653.51i	−0.0427531	−	0.201137i	0.951587	−	0.307379i	$-0.0994518\pi$
$691$	−776.577	−	3653.51i	−0.0427531	−	0.201137i	−0.994340	+	0.106241i	$0.966118\pi$
$692$	−19348.8	+	3064.55i	−1.06291	+	0.168348i
$693$	−4171.23	−	1399.34i	−0.228647	−	0.0767051i
$694$	14607.5	−	20105.5i	0.798980	−	1.09970i
$695$	−14077.7	−	6209.10i	−0.768341	−	0.338884i
$696$	−14485.7	+	1522.51i	−0.788907	+	0.0829175i
$697$	310.839	−	383.854i	0.0168922	−	0.0208601i
$698$	21418.7	−	1122.51i	1.16148	−	0.0608704i
$699$	13889.0			0.751544
$700$	−12445.4	−	1340.13i	−0.671988	−	0.0723602i
$701$	−19010.7			−1.02429			−0.512143	−	0.858900i	$-0.671148\pi$
$701$	−19010.7			−1.02429			−0.512143	+	0.858900i	$0.671148\pi$
$702$	17786.8	−	932.168i	0.956297	−	0.0501174i
$703$	−271.387	+	335.135i	−0.0145598	+	0.0179799i
$704$	−6582.13	+	691.810i	−0.352377	+	0.0370363i
$705$	−984.278	−	1691.18i	−0.0525816	−	0.0903455i
$706$	11554.9	−	15904.0i	0.615971	−	0.847812i
$707$	6568.37	−	5801.95i	0.349404	−	0.308635i
$708$	8205.51	−	1299.63i	0.435568	−	0.0689872i
$709$	1507.38	+	7091.67i	0.0798460	+	0.375646i	0.999868	−	0.0162196i	$-0.00516310\pi$
$709$	1507.38	+	7091.67i	0.0798460	+	0.375646i	−0.920022	+	0.391866i	$0.871830\pi$
$710$	1391.60	−	28449.9i	0.0735577	−	1.50381i
$711$	6204.69	+	1318.85i	0.327277	+	0.0695649i
$712$	−2847.24	+	4384.36i	−0.149866	+	0.230774i
$713$	−2207.11	+	1124.58i	−0.115928	+	0.0590684i
$714$	−20733.4	+	5344.55i	−1.08674	+	0.280133i
$715$	−9116.05	+	18046.4i	−0.476813	+	0.943915i
$716$	17687.7	−	3759.64i	0.923213	−	0.196235i
$717$	−13169.6	+	34307.9i	−0.685950	+	1.78696i
$718$	3140.08	+	11718.9i	0.163213	+	0.609119i
$719$	2737.43	−	26044.9i	0.141987	−	1.35092i	−0.658958	−	0.752180i	$-0.729003\pi$
$719$	2737.43	−	26044.9i	0.141987	−	1.35092i	0.800945	−	0.598738i	$-0.204331\pi$
$720$	−4285.05	−	1375.81i	−0.221798	−	0.0712129i
$721$	1207.61	−	51.7690i	0.0623768	−	0.00267403i
$722$	−21674.5	−	3432.90i	−1.11723	−	0.176952i
$723$	−1120.11	−	21372.9i	−0.0576172	−	1.09940i
$724$	−116.965	+	202.589i	−0.00600409	+	0.0103994i
$725$	24971.2	−	22801.3i	1.27918	−	1.16803i
$726$	14190.0	−	8192.63i	0.725402	−	0.418811i
$727$	−16650.6	−	8483.88i	−0.849429	−	0.432806i	−0.0256190	−	0.999672i	$-0.508156\pi$
$727$	−16650.6	−	8483.88i	−0.849429	−	0.432806i	−0.823810	+	0.566866i	$0.808156\pi$
$728$	−2071.47	−	6588.02i	−0.105459	−	0.335396i
$729$	8594.43	+	11829.2i	0.436642	+	0.600986i
$730$	−35406.4	−	3596.66i	−1.79514	−	0.182354i
$731$	4515.46	+	10141.9i	0.228468	+	0.513148i
$732$	−8146.55	+	2182.86i	−0.411346	+	0.110220i
$733$	−20554.3	+	16644.5i	−1.03573	+	0.838716i	−0.987101	−	0.160101i	$-0.948818\pi$
$733$	−20554.3	+	16644.5i	−1.03573	+	0.838716i	−0.0486274	+	0.998817i	$0.515485\pi$
$734$	−844.246	+	2598.32i	−0.0424546	+	0.130662i
$735$	−10173.1	+	19221.0i	−0.510532	+	0.964596i
$736$	1304.60	+	4015.15i	0.0653372	+	0.201087i
$737$	13738.5	+	8921.87i	0.686653	+	0.445918i
$738$	−8.77105	+	167.362i	−0.000437489	+	0.00834779i
$739$	21.8487	−	102.790i	0.00108757	−	0.00511663i	−0.977600	−	0.210469i	$-0.932501\pi$
$739$	21.8487	−	102.790i	0.00108757	−	0.00511663i	0.978688	+	0.205353i	$0.0658341\pi$
$740$	−826.038	+	320.393i	−0.0410348	+	0.0159161i
$741$	−6232.53	−	2025.07i	−0.308985	−	0.100395i
$742$	−26771.8	+	19064.3i	−1.32456	+	0.943222i
$743$	−1133.40	+	1133.40i	−0.0559631	+	0.0559631i	−0.734534	−	0.678571i	$-0.762599\pi$
$743$	−1133.40	+	1133.40i	−0.0559631	+	0.0559631i	0.678571	+	0.734534i	$0.262599\pi$
$744$	−6589.11	−	692.544i	−0.324689	−	0.0341262i
$745$	1831.51	−	8766.66i	0.0900687	−	0.431122i
$746$	1805.28	+	17176.1i	0.0886004	+	0.842977i
$747$	−3411.91	+	1309.71i	−0.167115	+	0.0641495i
$748$	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	$0.820662\pi$
$752$	−2019.42	+	1311.43i	−0.0979266	+	0.0635943i
$753$	−25784.8	−	20880.1i	−1.24788	−	1.01051i
$754$	−35539.0	−	15823.0i	−1.71652	−	0.764244i
$755$	288.541	+	877.621i	0.0139087	+	0.0423045i
$756$	−7896.73	+	9564.09i	−0.379896	+	0.460109i
$757$	−26296.9	−	26296.9i	−1.26258	−	1.26258i	−0.949836	−	0.312748i	$-0.898750\pi$
$757$	−26296.9	−	26296.9i	−1.26258	−	1.26258i	−0.312748	−	0.949836i	$-0.601250\pi$
$758$	13491.5	+	16660.6i	0.646482	+	0.798338i
$759$	−3517.21	−	3906.26i	−0.168204	−	0.186809i
$760$	−2434.13	−	1957.12i	−0.116178	−	0.0934107i
$761$	56.3544	+	50.7417i	0.00268442	+	0.00241706i	0.670472	−	0.741935i	$-0.266092\pi$
$761$	56.3544	+	50.7417i	0.00268442	+	0.00241706i	−0.667787	+	0.744352i	$0.732758\pi$
$762$	−23499.2	−	46119.7i	−1.11717	−	2.19257i
$763$	7135.80	+	16446.8i	0.338576	+	0.780357i
$764$	−11215.0	+	3643.96i	−0.531077	+	0.172557i
$765$	2488.86	−	2029.84i	0.117627	−	0.0959332i
$766$	29827.8	−	26857.1i	1.40695	−	1.26682i
$767$	−9934.33	−	3813.43i	−0.467676	−	0.179524i

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+(-3.65654 + 0.191631i) q^{2} +(-3.56883 + 4.40714i) q^{3} +(5.37736 - 0.565184i) q^{4} +(-7.45211 + 8.33463i) q^{5} +(12.2050 - 16.7988i) q^{6} +(5.89045 - 17.5585i) q^{7} +(9.37758 - 1.48526i) q^{8} +(-1.07270 - 5.04663i) q^{9} +(25.6517 - 31.9039i) q^{10} +(45.0384 + 9.57321i) q^{11} +(-16.7000 + 25.7158i) q^{12} +(34.9937 - 17.8302i) q^{13} +(-18.1739 + 65.3323i) q^{14} +(-10.1366 - 62.5873i) q^{15} +(-76.3155 + 16.2214i) q^{16} +(19.9528 - 51.9788i) q^{17} +(4.88944 + 18.2476i) q^{18} +(-3.07560 + 29.2623i) q^{19} +(-35.3621 + 49.0301i) q^{20} +(56.3609 + 88.6234i) q^{21} +(-166.519 - 26.3740i) q^{22} +(1.05355 + 20.1029i) q^{23} +(-26.9212 + 46.6289i) q^{24} +(-13.9321 - 124.221i) q^{25} +(-124.539 + 71.9027i) q^{26} +(-110.357 - 56.2297i) q^{27} +(21.7513 - 97.7479i) q^{28} +(159.008 + 218.856i) q^{29} +(49.0583 + 226.910i) q^{30} +(50.0497 + 112.413i) q^{31} +(202.574 - 54.2796i) q^{32} +(-202.925 + 164.325i) q^{33} +(-62.9974 + 193.886i) q^{34} +(102.448 + 179.943i) q^{35} +(-8.62054 - 26.5313i) q^{36} +(12.2917 + 7.98236i) q^{37} +(5.63846 - 107.588i) q^{38} +(-46.3065 + 217.855i) q^{39} +(-57.5036 + 89.2270i) q^{40} +(8.43713 + 2.74139i) q^{41} +(-223.069 - 313.254i) q^{42} +(-140.993 + 140.993i) q^{43} +(247.598 + 26.0236i) q^{44} +(50.0557 + 28.6675i) q^{45} +(-7.70469 - 73.3052i) q^{46} +(28.8124 - 11.0601i) 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} +(178.097 - 115.657i) q^{52} +(376.650 + 305.005i) q^{53} +(414.300 + 184.458i) q^{54} +(-415.420 + 304.038i) q^{55} +(29.1591 - 173.406i) q^{56} +(-117.987 - 117.987i) q^{57} +(-623.358 - 769.784i) q^{58} +(-181.296 - 201.350i) q^{59} +(-89.8812 - 330.826i) q^{60} +(204.406 + 184.048i) q^{61} +(-204.550 - 401.453i) q^{62} +(-94.9302 - 10.8919i) q^{63} +(-136.704 + 44.4177i) q^{64} +(-112.169 + 424.533i) q^{65} +(710.512 - 639.748i) q^{66} +(332.139 + 127.496i) q^{67} +(77.9158 - 290.786i) q^{68} +(-92.3563 - 67.1008i) q^{69} +(-409.087 - 638.336i) q^{70} +(562.908 - 408.976i) q^{71} +(-17.5549 - 45.7320i) q^{72} +(-473.477 - 729.091i) q^{73} +(-46.4749 - 26.8323i) q^{74} +(597.181 + 381.923i) q^{75} +159.092i q^{76} +(433.388 - 734.418i) q^{77} +(127.574 - 805.469i) q^{78} +(-500.071 + 1123.18i) q^{79} +(433.512 - 756.945i) q^{80} +(768.917 - 342.344i) q^{81} +(-31.3760 - 8.40718i) q^{82} +(-110.810 - 699.629i) q^{83} +(353.162 + 444.706i) q^{84} +(284.534 + 553.651i) q^{85} +(488.529 - 542.567i) q^{86} +(-1532.00 - 80.2887i) q^{87} +(436.570 + 22.8797i) q^{88} +(-368.430 + 409.183i) q^{89} +(-188.524 - 95.2317i) q^{90} +(-106.944 - 719.467i) q^{91} +(17.0272 + 107.505i) q^{92} +(-674.040 - 180.608i) q^{93} +(-103.234 + 45.9628i) q^{94} +(-220.971 - 243.700i) q^{95} +(-483.735 + 1086.49i) q^{96} +(-193.365 + 1220.86i) q^{97} +(1040.09 + 703.943i) 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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