LMFDB - Embedded newform 98.4.g.b.11.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [98,4,Mod(9,98)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(98, base_ring=CyclotomicField(42))

chi = DirichletCharacter(H, H._module([2]))

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

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

chi := DirichletCharacter("98.9");

S:= CuspForms(chi, 4);

N := Newforms(S);

Level:	$ N $	$=$	$ 98 = 2 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 4 $
Character orbit:	$[\chi]$	$=$	98.g (of order $21$, degree $12$, 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:	$5.78218718056$
Analytic rank:	$0$
Dimension:	$84$
Relative dimension:	$7$ over $\Q(\zeta_{21})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label			11.2
Character	$\chi$	$=$	98.11
Dual form			98.4.g.b.9.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.46610 + 1.36035i) q^{2} +(-5.07649 + 0.765157i) q^{3} +(0.298920 - 3.98882i) q^{4} +(4.25782 - 10.8487i) q^{5} +(6.40178 - 8.02757i) q^{6} +(10.4612 + 15.2828i) q^{7} +(4.98792 + 6.25465i) q^{8} +(-0.615219 + 0.189770i) q^{9} +O(q^{10})$	\(q+(-1.46610 + 1.36035i) q^{2} +(-5.07649 + 0.765157i) q^{3} +(0.298920 - 3.98882i) q^{4} +(4.25782 - 10.8487i) q^{5} +(6.40178 - 8.02757i) q^{6} +(10.4612 + 15.2828i) q^{7} +(4.98792 + 6.25465i) q^{8} +(-0.615219 + 0.189770i) q^{9} +(8.51563 + 21.6975i) q^{10} +(6.31342 + 1.94743i) q^{11} +(1.53461 + 20.4779i) q^{12} +(8.12895 + 35.6153i) q^{13} +(-36.1271 - 8.17532i) q^{14} +(-13.3138 + 58.3314i) q^{15} +(-15.8213 - 2.38468i) q^{16} +(-114.669 + 78.1797i) q^{17} +(0.643822 - 1.11513i) q^{18} +(21.4275 + 37.1135i) q^{19} +(-42.0009 - 20.2266i) q^{20} +(-64.7998 - 69.5784i) q^{21} +(-11.9053 + 5.73329i) q^{22} +(133.237 + 90.8397i) q^{23} +(-30.1069 - 27.9351i) q^{24} +(-7.93465 - 7.36228i) q^{25} +(-60.3669 - 41.1575i) q^{26} +(127.864 - 61.5762i) q^{27} +(64.0873 - 37.1594i) q^{28} +(123.741 + 59.5906i) q^{29} +(-59.8315 - 103.631i) q^{30} +(-99.1172 + 171.676i) q^{31} +(26.4396 - 18.0262i) q^{32} +(-33.5401 - 5.05535i) q^{33} +(61.7646 - 270.608i) q^{34} +(210.341 - 48.4194i) q^{35} +(0.573056 + 2.51072i) q^{36} +(6.82224 + 91.0365i) q^{37} +(-81.9022 - 25.2635i) q^{38} +(-68.5178 - 174.580i) q^{39} +(89.0927 - 27.4815i) q^{40} +(-235.745 - 295.615i) q^{41} +(189.654 + 13.8590i) q^{42} +(-131.255 + 164.589i) q^{43} +(9.65515 - 24.6009i) q^{44} +(-0.560725 + 7.48236i) q^{45} +(-318.913 + 48.0684i) q^{46} +(400.351 - 371.472i) q^{47} +82.1412 q^{48} +(-124.127 + 319.752i) q^{49} +21.6483 q^{50} +(522.293 - 484.617i) q^{51} +(144.493 - 21.7788i) q^{52} +(-20.2368 + 270.041i) q^{53} +(-103.697 + 264.217i) q^{54} +(48.0086 - 60.2008i) q^{55} +(-43.4090 + 141.660i) q^{56} +(-137.174 - 172.011i) q^{57} +(-262.481 + 80.9647i) q^{58} +(-208.826 - 532.080i) q^{59} +(228.693 + 70.5425i) q^{60} +(21.0977 + 281.530i) q^{61} +(-88.2226 - 386.528i) q^{62} +(-9.33614 - 7.41704i) q^{63} +(-14.2413 + 62.3954i) q^{64} +(420.992 + 63.4544i) q^{65} +(56.0503 - 38.2144i) q^{66} +(-65.3964 + 113.270i) q^{67} +(277.568 + 480.761i) q^{68} +(-745.884 - 359.199i) q^{69} +(-242.514 + 357.124i) q^{70} +(-153.542 + 73.9421i) q^{71} +(-4.25561 - 2.90142i) q^{72} +(-443.996 - 411.968i) q^{73} +(-133.843 - 124.188i) q^{74} +(45.9134 + 31.3032i) q^{75} +(154.444 - 74.3764i) q^{76} +(36.2837 + 116.859i) q^{77} +(337.944 + 162.745i) q^{78} +(78.3950 + 135.784i) q^{79} +(-93.2349 + 161.488i) q^{80} +(-587.623 + 400.635i) q^{81} +(747.765 + 112.707i) q^{82} +(-162.061 + 710.037i) q^{83} +(-296.905 + 237.676i) q^{84} +(359.913 + 1576.88i) q^{85} +(-31.4640 - 419.858i) q^{86} +(-673.766 - 207.829i) q^{87} +(19.3103 + 49.2019i) q^{88} +(493.944 - 152.361i) q^{89} +(-9.35651 - 11.7327i) q^{90} +(-459.262 + 496.811i) q^{91} +(402.170 - 504.305i) q^{92} +(371.808 - 947.351i) q^{93} +(-81.6267 + 1089.23i) q^{94} +(493.869 - 74.4388i) q^{95} +(-120.428 + 111.740i) q^{96} -318.648 q^{97} +(-252.990 - 637.646i) q^{98} -4.25370 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 84 q + 14 q^{2} + 2 q^{3} + 28 q^{4} - 9 q^{5} + 34 q^{6} + 28 q^{7} - 112 q^{8} - 175 q^{9}+O(q^{10}) $ 84 * q + 14 * q^2 + 2 * q^3 + 28 * q^4 - 9 * q^5 + 34 * q^6 + 28 * q^7 - 112 * q^8 - 175 * q^9	\( 84 q + 14 q^{2} + 2 q^{3} + 28 q^{4} - 9 q^{5} + 34 q^{6} + 28 q^{7} - 112 q^{8} - 175 q^{9} - 18 q^{10} - 133 q^{11} - 20 q^{12} + 70 q^{13} - 70 q^{14} - 161 q^{15} + 112 q^{16} - 173 q^{17} - 742 q^{18} + 383 q^{19} + 184 q^{20} - 392 q^{21} - 154 q^{22} + 357 q^{23} - 40 q^{24} + 154 q^{25} - 406 q^{26} + 746 q^{27} - 252 q^{28} - 161 q^{29} + 14 q^{30} + 891 q^{31} + 224 q^{32} - 625 q^{33} - 190 q^{34} + 784 q^{35} - 364 q^{36} + 3668 q^{37} - 1068 q^{38} + 1239 q^{39} + 264 q^{40} + 308 q^{41} + 1162 q^{42} + 490 q^{43} - 728 q^{44} - 1830 q^{45} - 1638 q^{46} - 730 q^{47} - 1184 q^{48} - 2562 q^{49} + 4284 q^{50} - 2513 q^{51} - 1232 q^{52} - 1218 q^{53} - 1390 q^{54} - 935 q^{55} + 504 q^{56} - 2562 q^{57} + 896 q^{58} + 1360 q^{59} + 1204 q^{60} + 4478 q^{61} + 2400 q^{62} + 2723 q^{63} - 896 q^{64} + 434 q^{65} + 2264 q^{66} - 1505 q^{67} + 1268 q^{68} + 3427 q^{69} - 1470 q^{70} - 4697 q^{71} + 560 q^{72} + 681 q^{73} - 1876 q^{74} - 1544 q^{75} - 40 q^{76} - 4137 q^{77} + 1120 q^{78} + 1687 q^{79} + 976 q^{80} + 2310 q^{81} - 308 q^{82} + 7441 q^{83} + 364 q^{84} + 1267 q^{85} + 2254 q^{86} - 12015 q^{87} - 1456 q^{88} - 3593 q^{89} - 3558 q^{90} - 1981 q^{91} + 1260 q^{92} - 6370 q^{93} + 3132 q^{94} + 2247 q^{95} - 160 q^{96} - 18662 q^{97} - 4550 q^{98} + 14966 q^{99}+O(q^{100}) \) 84 * q + 14 * q^2 + 2 * q^3 + 28 * q^4 - 9 * q^5 + 34 * q^6 + 28 * q^7 - 112 * q^8 - 175 * q^9 - 18 * q^10 - 133 * q^11 - 20 * q^12 + 70 * q^13 - 70 * q^14 - 161 * q^15 + 112 * q^16 - 173 * q^17 - 742 * q^18 + 383 * q^19 + 184 * q^20 - 392 * q^21 - 154 * q^22 + 357 * q^23 - 40 * q^24 + 154 * q^25 - 406 * q^26 + 746 * q^27 - 252 * q^28 - 161 * q^29 + 14 * q^30 + 891 * q^31 + 224 * q^32 - 625 * q^33 - 190 * q^34 + 784 * q^35 - 364 * q^36 + 3668 * q^37 - 1068 * q^38 + 1239 * q^39 + 264 * q^40 + 308 * q^41 + 1162 * q^42 + 490 * q^43 - 728 * q^44 - 1830 * q^45 - 1638 * q^46 - 730 * q^47 - 1184 * q^48 - 2562 * q^49 + 4284 * q^50 - 2513 * q^51 - 1232 * q^52 - 1218 * q^53 - 1390 * q^54 - 935 * q^55 + 504 * q^56 - 2562 * q^57 + 896 * q^58 + 1360 * q^59 + 1204 * q^60 + 4478 * q^61 + 2400 * q^62 + 2723 * q^63 - 896 * q^64 + 434 * q^65 + 2264 * q^66 - 1505 * q^67 + 1268 * q^68 + 3427 * q^69 - 1470 * q^70 - 4697 * q^71 + 560 * q^72 + 681 * q^73 - 1876 * q^74 - 1544 * q^75 - 40 * q^76 - 4137 * q^77 + 1120 * q^78 + 1687 * q^79 + 976 * q^80 + 2310 * q^81 - 308 * q^82 + 7441 * q^83 + 364 * q^84 + 1267 * q^85 + 2254 * q^86 - 12015 * q^87 - 1456 * q^88 - 3593 * q^89 - 3558 * q^90 - 1981 * q^91 + 1260 * q^92 - 6370 * q^93 + 3132 * q^94 + 2247 * q^95 - 160 * q^96 - 18662 * q^97 - 4550 * q^98 + 14966 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/98\mathbb{Z}\right)^\times$.

$n$	$3$
$\chi(n)$	$e\left(\frac{20}{21}\right)$

Coefficient data

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

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

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

$2$	−1.46610	+	1.36035i	−0.518346	+	0.480955i
$2$	−1.46610	+	1.36035i	−0.518346	+	0.480955i
$3$	−5.07649	+	0.765157i	−0.976970	+	0.147255i	−0.618071	−	0.786122i	$-0.712086\pi$
$3$	−5.07649	+	0.765157i	−0.976970	+	0.147255i	−0.358899	+	0.933376i	$0.616848\pi$
$4$	0.298920	−	3.98882i	0.0373650	−	0.498602i
$5$	4.25782	−	10.8487i	0.380831	−	0.970341i	−0.604025	−	0.796965i	$-0.706437\pi$
$5$	4.25782	−	10.8487i	0.380831	−	0.970341i	0.984856	−	0.173375i	$-0.0554674\pi$
$6$	6.40178	−	8.02757i	0.435586	−	0.546207i
$7$	10.4612	+	15.2828i	0.564851	+	0.825193i
$7$	10.4612	+	15.2828i	0.564851	+	0.825193i
$8$	4.98792	+	6.25465i	0.220437	+	0.276419i
$9$	−0.615219	+	0.189770i	−0.0227859	+	0.00702852i
$10$	8.51563	+	21.6975i	0.269288	+	0.686134i
$11$	6.31342	+	1.94743i	0.173052	+	0.0533793i	0.380070	−	0.924958i	$-0.375900\pi$
$11$	6.31342	+	1.94743i	0.173052	+	0.0533793i	−0.207019	+	0.978337i	$0.566376\pi$
$12$	1.53461	+	20.4779i	0.0369169	+	0.492621i
$13$	8.12895	+	35.6153i	0.173428	+	0.759838i	0.984570	+	0.174989i	$0.0559890\pi$
$13$	8.12895	+	35.6153i	0.173428	+	0.759838i	−0.811142	+	0.584849i	$0.801154\pi$
$14$	−36.1271	−	8.17532i	−0.689669	−	0.156068i
$15$	−13.3138	+	58.3314i	−0.229173	+	1.00407i
$16$	−15.8213	−	2.38468i	−0.247208	−	0.0372606i
$17$	−114.669	+	78.1797i	−1.63595	+	1.11537i	−0.738511	+	0.674241i	$0.764471\pi$
$17$	−114.669	+	78.1797i	−1.63595	+	1.11537i	−0.897442	+	0.441133i	$0.854577\pi$
$18$	0.643822	−	1.11513i	0.00843058	−	0.0146022i
$19$	21.4275	+	37.1135i	0.258727	+	0.448128i	0.965901	−	0.258911i	$-0.0833638\pi$
$19$	21.4275	+	37.1135i	0.258727	+	0.448128i	−0.707174	+	0.707039i	$0.750030\pi$
$20$	−42.0009	−	20.2266i	−0.469584	−	0.226140i
$21$	−64.7998	−	69.5784i	−0.673356	−	0.723012i
$22$	−11.9053	+	5.73329i	−0.115374	+	0.0555610i
$23$	133.237	+	90.8397i	1.20791	+	0.823538i	0.988370	−	0.152065i	$-0.0485924\pi$
$23$	133.237	+	90.8397i	1.20791	+	0.823538i	0.219539	+	0.975604i	$0.429545\pi$
$24$	−30.1069	−	27.9351i	−0.256064	−	0.237593i
$25$	−7.93465	−	7.36228i	−0.0634772	−	0.0588982i
$26$	−60.3669	−	41.1575i	−0.455343	−	0.310448i
$27$	127.864	−	61.5762i	0.911388	−	0.438901i
$28$	64.0873	−	37.1594i	0.432548	−	0.250802i
$29$	123.741	+	59.5906i	0.792350	+	0.381576i	0.785861	−	0.618403i	$-0.212220\pi$
$29$	123.741	+	59.5906i	0.792350	+	0.381576i	0.00648892	+	0.999979i	$0.497934\pi$
$30$	−59.8315	−	103.631i	−0.364123	−	0.630679i
$31$	−99.1172	+	171.676i	−0.574257	+	0.994643i	0.421865	+	0.906659i	$0.361376\pi$
$31$	−99.1172	+	171.676i	−0.574257	+	0.994643i	−0.996122	+	0.0879838i	$0.971958\pi$
$32$	26.4396	−	18.0262i	0.146060	−	0.0995819i
$33$	−33.5401	−	5.05535i	−0.176927	−	0.0266674i
$34$	61.7646	−	270.608i	0.311545	−	1.36497i
$35$	210.341	−	48.4194i	1.01583	−	0.233839i
$36$	0.573056	+	2.51072i	0.00265304	+	0.0116237i
$37$	6.82224	+	91.0365i	0.0303127	+	0.404495i	0.991635	+	0.129070i	$0.0411993\pi$
$37$	6.82224	+	91.0365i	0.0303127	+	0.404495i	−0.961323	+	0.275424i	$0.911182\pi$
$38$	−81.9022	−	25.2635i	−0.349639	−	0.107849i
$39$	−68.5178	−	174.580i	−0.281324	−	0.716801i
$40$	89.0927	−	27.4815i	0.352170	−	0.108630i
$41$	−235.745	−	295.615i	−0.897980	−	1.12603i	−0.991460	−	0.130410i	$-0.958370\pi$
$41$	−235.745	−	295.615i	−0.897980	−	1.12603i	0.0934798	−	0.995621i	$-0.470201\pi$
$42$	189.654	+	13.8590i	0.696767	+	0.0509166i
$43$	−131.255	+	164.589i	−0.465495	+	0.583712i	−0.958061	−	0.286563i	$-0.907487\pi$
$43$	−131.255	+	164.589i	−0.465495	+	0.583712i	0.492567	+	0.870275i	$0.336059\pi$
$44$	9.65515	−	24.6009i	0.0330811	−	0.0842893i
$45$	−0.560725	+	7.48236i	−0.00185751	+	0.0247868i
$46$	−318.913	+	48.0684i	−1.02220	+	0.154072i
$47$	400.351	−	371.472i	1.24249	−	1.15287i	0.260193	−	0.965557i	$-0.416214\pi$
$47$	400.351	−	371.472i	1.24249	−	1.15287i	0.982301	−	0.187310i	$-0.0599768\pi$
$48$	82.1412			0.247001
$49$	−124.127	+	319.752i	−0.361887	+	0.932222i
$50$	21.6483			0.0612305
$51$	522.293	−	484.617i	1.43403	−	1.33059i
$52$	144.493	−	21.7788i	0.385337	−	0.0580802i
$53$	−20.2368	+	270.041i	−0.0524478	+	0.699867i	0.907565	+	0.419911i	$0.137939\pi$
$53$	−20.2368	+	270.041i	−0.0524478	+	0.699867i	−0.960013	+	0.279956i	$0.909680\pi$
$54$	−103.697	+	264.217i	−0.261323	+	0.665839i
$55$	48.0086	−	60.2008i	0.117699	−	0.147590i
$56$	−43.4090	+	141.660i	−0.103585	+	0.338039i
$57$	−137.174	−	172.011i	−0.318757	−	0.399709i
$58$	−262.481	+	80.9647i	−0.594232	+	0.183296i
$59$	−208.826	−	532.080i	−0.460794	−	1.17408i	−0.952829	−	0.303508i	$-0.901842\pi$
$59$	−208.826	−	532.080i	−0.460794	−	1.17408i	0.492035	−	0.870575i	$-0.336253\pi$
$60$	228.693	+	70.5425i	0.492070	+	0.151783i
$61$	21.0977	+	281.530i	0.0442834	+	0.590921i	0.974569	+	0.224086i	$0.0719396\pi$
$61$	21.0977	+	281.530i	0.0442834	+	0.590921i	−0.930286	+	0.366835i	$0.880441\pi$
$62$	−88.2226	−	386.528i	−0.180714	−	0.791761i
$63$	−9.33614	−	7.41704i	−0.0186705	−	0.0148327i
$64$	−14.2413	+	62.3954i	−0.0278151	+	0.121866i
$65$	420.992	+	63.4544i	0.803348	+	0.121085i
$66$	56.0503	−	38.2144i	0.104535	−	0.0712707i
$67$	−65.3964	+	113.270i	−0.119245	+	0.206539i	−0.919469	−	0.393163i	$-0.871381\pi$
$67$	−65.3964	+	113.270i	−0.119245	+	0.206539i	0.800223	+	0.599702i	$0.204714\pi$
$68$	277.568	+	480.761i	0.495000	+	0.857365i
$69$	−745.884	−	359.199i	−1.30136	−	0.626702i
$70$	−242.514	+	357.124i	−0.414086	+	0.609778i
$71$	−153.542	+	73.9421i	−0.256650	+	0.123596i	−0.557785	−	0.829985i	$-0.688349\pi$
$71$	−153.542	+	73.9421i	−0.256650	+	0.123596i	0.301135	+	0.953581i	$0.402634\pi$
$72$	−4.25561	−	2.90142i	−0.00696567	−	0.00474911i
$73$	−443.996	−	411.968i	−0.711860	−	0.660509i	0.238685	−	0.971097i	$-0.423284\pi$
$73$	−443.996	−	411.968i	−0.711860	−	0.660509i	−0.950545	+	0.310588i	$0.899474\pi$
$74$	−133.843	−	124.188i	−0.210256	−	0.195089i
$75$	45.9134	+	31.3032i	0.0706883	+	0.0481945i
$76$	154.444	−	74.3764i	0.233105	−	0.112257i
$77$	36.2837	+	116.859i	0.0537001	+	0.172952i
$78$	337.944	+	162.745i	0.490572	+	0.236247i
$79$	78.3950	+	135.784i	0.111647	+	0.193379i	0.916435	−	0.400185i	$-0.131054\pi$
$79$	78.3950	+	135.784i	0.111647	+	0.193379i	−0.804787	+	0.593563i	$0.797721\pi$
$80$	−93.2349	+	161.488i	−0.130300	+	0.225686i
$81$	−587.623	+	400.635i	−0.806067	+	0.549567i
$82$	747.765	+	112.707i	1.00703	+	0.151786i
$83$	−162.061	+	710.037i	−0.214320	+	0.938996i	0.747273	+	0.664517i	$0.231363\pi$
$83$	−162.061	+	710.037i	−0.214320	+	0.938996i	−0.961593	+	0.274479i	$0.911494\pi$
$84$	−296.905	+	237.676i	−0.385655	+	0.308721i
$85$	359.913	+	1576.88i	0.459272	+	2.01220i
$86$	−31.4640	−	419.858i	−0.0394517	−	0.526446i
$87$	−673.766	−	207.829i	−0.830291	−	0.256111i
$88$	19.3103	+	49.2019i	0.0233919	+	0.0596015i
$89$	493.944	−	152.361i	0.588291	−	0.181464i	0.0137024	−	0.999906i	$-0.495638\pi$
$89$	493.944	−	152.361i	0.588291	−	0.181464i	0.574589	+	0.818442i	$0.305162\pi$
$90$	−9.35651	−	11.7327i	−0.0109585	−	0.0137415i
$91$	−459.262	+	496.811i	−0.529052	+	0.572307i
$92$	402.170	−	504.305i	0.455751	−	0.571494i
$93$	371.808	−	947.351i	0.414566	−	1.05630i
$94$	−81.6267	+	1089.23i	−0.0895654	+	1.19517i
$95$	493.869	−	74.4388i	0.533368	−	0.0803922i
$96$	−120.428	+	111.740i	−0.128032	+	0.118796i
$97$	−318.648			−0.333544			−0.166772	−	0.985995i	$-0.553334\pi$
$97$	−318.648			−0.333544			−0.166772	+	0.985995i	$0.553334\pi$
$98$	−252.990	−	637.646i	−0.260774	−	0.657265i
$99$	−4.25370			−0.00431831
$100$	−31.7386	+	29.4491i	−0.0317386	+	0.0294491i
$101$	−294.711	+	44.4205i	−0.290345	+	0.0437624i	−0.292600	−	0.956235i	$-0.594520\pi$
$101$	−294.711	+	44.4205i	−0.290345	+	0.0437624i	0.00225501	+	0.999997i	$0.499282\pi$
$102$	−106.489	+	1421.00i	−0.103373	+	1.37941i
$103$	−164.627	+	419.463i	−0.157487	+	0.401271i	−0.987738	−	0.156119i	$-0.950102\pi$
$103$	−164.627	+	419.463i	−0.157487	+	0.401271i	0.830251	+	0.557389i	$0.188197\pi$
$104$	−182.214	+	228.490i	−0.171804	+	0.215435i
$105$	−1030.74	+	406.744i	−0.958003	+	0.378040i
$106$	−337.680	−	423.437i	−0.309418	−	0.387998i
$107$	1723.37	−	531.588i	1.55705	−	0.480286i	0.607609	−	0.794237i	$-0.292129\pi$
$107$	1723.37	−	531.588i	1.55705	−	0.480286i	0.949439	+	0.313951i	$0.101653\pi$
$108$	−207.395	−	528.433i	−0.184783	−	0.470820i
$109$	544.493	+	167.954i	0.478468	+	0.147588i	0.524602	−	0.851347i	$-0.324214\pi$
$109$	544.493	+	167.954i	0.478468	+	0.147588i	−0.0461343	+	0.998935i	$0.514690\pi$
$110$	11.5084	+	153.569i	0.00997529	+	0.133111i
$111$	−104.290	−	456.926i	−0.0891783	−	0.390716i
$112$	−129.065	−	266.740i	−0.108888	−	0.225041i
$113$	191.314	−	838.201i	0.159268	−	0.697800i	−0.830725	−	0.556683i	$-0.812074\pi$
$113$	191.314	−	838.201i	0.159268	−	0.697800i	0.989993	−	0.141116i	$-0.0450692\pi$
$114$	435.106	+	65.5816i	0.357468	+	0.0538797i
$115$	1552.80	−	1058.68i	1.25912	−	0.858455i
$116$	274.684	−	475.767i	0.219860	−	0.380809i
$117$	−11.7598	−	20.3686i	−0.00929225	−	0.0160946i
$118$	1029.97	+	496.009i	0.803532	+	0.386960i
$119$	−2394.37	−	934.602i	−1.84447	−	0.719957i
$120$	−431.250	+	207.679i	−0.328063	+	0.157987i
$121$	−1063.66	−	725.189i	−0.799141	−	0.544845i
$122$	−413.909	−	384.052i	−0.307160	−	0.285003i
$123$	1422.95	+	1320.30i	1.04311	+	0.967868i
$124$	655.156	+	446.678i	0.474474	+	0.323491i
$125$	1198.87	−	577.346i	0.857843	−	0.413115i
$126$	23.7775	−	1.82622i	0.0168116	−	0.00129121i
$127$	1702.62	+	819.938i	1.18963	+	0.572896i	0.920703	−	0.390265i	$-0.127616\pi$
$127$	1702.62	+	819.938i	1.18963	+	0.572896i	0.268928	+	0.963160i	$0.413331\pi$
$128$	−64.0000	−	110.851i	−0.0441942	−	0.0765466i
$129$	540.380	−	935.965i	0.368820	−	0.638815i
$130$	−703.538	+	479.664i	−0.474649	+	0.323610i
$131$	−777.635	−	117.210i	−0.518643	−	0.0781729i	−0.115496	−	0.993308i	$-0.536846\pi$
$131$	−777.635	−	117.210i	−0.518643	−	0.0781729i	−0.403147	+	0.915135i	$0.632084\pi$
$132$	−30.1907	+	132.274i	−0.0199073	+	0.0872195i
$133$	−343.041	+	715.724i	−0.223650	+	0.466625i
$134$	−58.2083	−	255.027i	−0.0375256	−	0.164410i
$135$	−123.601	−	1649.35i	−0.0787994	−	1.05150i
$136$	−1060.94	−	327.258i	−0.668935	−	0.206339i
$137$	−1027.54	−	2618.13i	−0.640794	−	1.63272i	−0.767705	−	0.640803i	$-0.778601\pi$
$137$	−1027.54	−	2618.13i	−0.640794	−	1.63272i	0.126911	−	0.991914i	$-0.459494\pi$
$138$	1582.18	−	488.037i	0.975971	−	0.301047i
$139$	−1223.10	−	1533.72i	−0.746344	−	0.935885i	0.253159	−	0.967425i	$-0.418530\pi$
$139$	−1223.10	−	1533.72i	−0.746344	−	0.935885i	−0.999503	+	0.0315393i	$0.989959\pi$
$140$	−130.261	−	853.484i	−0.0786361	−	0.515233i
$141$	−1748.14	+	2192.10i	−1.04412	+	1.30928i
$142$	124.522	−	317.278i	0.0735893	−	0.187502i
$143$	−18.0368	+	240.685i	−0.0105477	+	0.140749i
$144$	10.1861	−	1.53531i	0.00589474	−	0.000888489i
$145$	1173.35	−	1088.71i	0.672009	−	0.623534i
$146$	1211.36			0.686665
$147$	385.469	−	1718.19i	0.216279	−	0.964043i
$148$	365.167			0.202815
$149$	−2175.48	+	2018.55i	−1.19612	+	1.10984i	−0.204744	+	0.978816i	$0.565636\pi$
$149$	−2175.48	+	2018.55i	−1.19612	+	1.10984i	−0.991379	+	0.131024i	$0.958173\pi$
$150$	−109.897	+	16.5643i	−0.0598204	+	0.00901647i
$151$	−231.898	+	3094.46i	−0.124977	+	1.66771i	0.484416	+	0.874838i	$0.339032\pi$
$151$	−231.898	+	3094.46i	−0.124977	+	1.66771i	−0.609393	+	0.792868i	$0.708587\pi$
$152$	−125.254	+	319.141i	−0.0668382	+	0.170301i
$153$	55.7101	−	69.8583i	0.0294372	−	0.0369131i
$154$	−212.164	−	121.969i	−0.111017	−	0.0638218i
$155$	1440.45	+	1806.26i	0.746447	+	0.936015i
$156$	−716.850	+	221.119i	−0.367910	+	0.113485i
$157$	−380.555	−	969.639i	−0.193450	−	0.492902i	0.800932	−	0.598755i	$-0.204338\pi$
$157$	−380.555	−	969.639i	−0.193450	−	0.492902i	−0.994382	+	0.105853i	$0.966243\pi$
$158$	−299.649	−	92.4294i	−0.150878	−	0.0465398i
$159$	−103.892	−	1386.34i	−0.0518187	−	0.691473i
$160$	−82.9869	−	363.589i	−0.0410043	−	0.179652i
$161$	5.53724	+	2986.53i	0.00271053	+	1.46193i
$162$	316.515	−	1386.74i	0.153505	−	0.672548i
$163$	2495.10	+	376.076i	1.19897	+	0.180715i	0.718013	−	0.696030i	$-0.245052\pi$
$163$	2495.10	+	376.076i	1.19897	+	0.180715i	0.480955	+	0.876745i	$0.340290\pi$
$164$	−1249.62	+	851.978i	−0.594995	+	0.405660i
$165$	−197.652	+	342.343i	−0.0932555	+	0.161523i
$166$	−728.297	−	1261.45i	−0.340523	−	0.589803i
$167$	761.520	+	366.729i	0.352863	+	0.169930i	0.601915	−	0.798560i	$-0.294405\pi$
$167$	761.520	+	366.729i	0.352863	+	0.169930i	−0.249052	+	0.968490i	$0.580119\pi$
$168$	111.973	−	752.352i	0.0514218	−	0.345507i
$169$	777.062	−	374.213i	0.353692	−	0.170329i
$170$	−2672.78	−	1822.27i	−1.20584	−	0.822127i
$171$	−20.2256	−	18.7667i	−0.00904499	−	0.00839253i
$172$	617.281	+	572.753i	0.273647	+	0.253907i
$173$	−595.714	−	406.151i	−0.261799	−	0.178492i	0.425306	−	0.905050i	$-0.360167\pi$
$173$	−595.714	−	406.151i	−0.261799	−	0.178492i	−0.687105	+	0.726558i	$0.741119\pi$
$174$	1270.53	−	611.855i	0.553556	−	0.266578i
$175$	29.5103	−	198.282i	0.0127472	−	0.0856496i
$176$	−95.2424	−	45.8663i	−0.0407907	−	0.0196438i
$177$	1467.23	+	2541.31i	0.623071	+	1.07919i
$178$	−516.908	+	895.311i	−0.217662	+	0.377002i
$179$	−100.928	+	68.8113i	−0.0421435	+	0.0287329i	−0.584209	−	0.811604i	$-0.698595\pi$
$179$	−100.928	+	68.8113i	−0.0421435	+	0.0287329i	0.542065	+	0.840337i	$0.317643\pi$
$180$	29.6781	+	4.47326i	0.0122893	+	0.00185232i
$181$	−99.7987	+	437.247i	−0.0409833	+	0.179560i	−0.991277	−	0.131796i	$-0.957926\pi$
$181$	−99.7987	+	437.247i	−0.0409833	+	0.179560i	0.950294	+	0.311355i	$0.100783\pi$
$182$	−2.50880	−	1353.13i	−0.00102178	−	0.551103i
$183$	−322.517	−	1413.04i	−0.130279	−	0.570791i
$184$	96.4064	+	1286.45i	0.0386260	+	0.515428i
$185$	1016.68	+	313.604i	0.404042	+	0.124630i
$186$	743.616	+	1894.70i	0.293143	+	0.746916i
$187$	−876.200	+	270.272i	−0.342642	+	0.105691i
$188$	−1362.06	−	1707.97i	−0.528395	−	0.662587i
$189$	2278.67	+	1309.96i	0.876977	+	0.504157i
$190$	−622.801	+	780.968i	−0.237804	+	0.298197i
$191$	305.470	−	778.324i	0.115723	−	0.294856i	−0.861264	−	0.508158i	$-0.830327\pi$
$191$	305.470	−	778.324i	0.115723	−	0.294856i	0.976986	+	0.213302i	$0.0684218\pi$
$192$	24.5537	−	327.646i	0.00922922	−	0.123155i
$193$	−2225.97	+	335.511i	−0.830201	+	0.125133i	−0.550374	−	0.834918i	$-0.685515\pi$
$193$	−2225.97	+	335.511i	−0.830201	+	0.125133i	−0.279826	+	0.960051i	$0.590277\pi$
$194$	467.171	−	433.472i	0.172891	−	0.160420i
$195$	−2185.71			−0.802678
$196$	1238.33	+	590.701i	0.451286	+	0.215270i
$197$	4617.45			1.66995			0.834973	−	0.550291i	$-0.185483\pi$
$197$	4617.45			1.66995			0.834973	+	0.550291i	$0.185483\pi$
$198$	6.23637	−	5.78650i	0.00223838	−	0.00207691i
$199$	4024.65	−	606.619i	1.43367	−	0.216091i	0.614171	−	0.789173i	$-0.289490\pi$
$199$	4024.65	−	606.619i	1.43367	−	0.216091i	0.819498	+	0.573082i	$0.194252\pi$
$200$	6.47111	−	86.3509i	0.00228788	−	0.0305297i
$201$	245.315	−	625.051i	0.0860854	−	0.219342i
$202$	371.649	−	466.033i	0.129451	−	0.162327i
$203$	383.769	+	2514.50i	0.132686	+	0.869375i
$204$	−1776.93	−	2228.19i	−0.609851	−	0.764729i
$205$	−4210.81	+	1298.86i	−1.43461	+	0.442519i
$206$	−329.254	−	838.925i	−0.111360	−	0.283741i
$207$	−99.2088	−	30.6019i	−0.0333115	−	0.0102753i
$208$	−43.6796	−	582.864i	−0.0145608	−	0.194300i
$209$	63.0047	+	276.042i	0.0208523	+	0.0913599i
$210$	957.865	−	1998.50i	0.314757	−	0.656711i
$211$	−265.150	+	1161.70i	−0.0865104	+	0.379027i	−0.999586	−	0.0287628i	$-0.990843\pi$
$211$	−265.150	+	1161.70i	−0.0865104	+	0.379027i	0.913076	+	0.407790i	$0.133700\pi$
$212$	1071.09	+	161.441i	0.346995	+	0.0523011i
$213$	722.879	−	492.850i	0.232539	−	0.158542i
$214$	−1803.49	+	3123.74i	−0.576094	+	0.997824i
$215$	1226.72	+	2124.75i	0.389125	+	0.673984i
$216$	1022.91	+	492.609i	0.322224	+	0.155175i
$217$	−3660.57	+	281.148i	−1.14514	+	0.0879519i
$218$	−1026.76	+	494.461i	−0.318995	+	0.153620i
$219$	2569.16	+	1751.62i	0.792729	+	0.540473i
$220$	−225.779	−	209.492i	−0.0691910	−	0.0641999i
$221$	−3716.52	−	3448.43i	−1.13122	−	1.04962i
$222$	774.477	+	528.029i	0.234142	+	0.159635i
$223$	−75.4502	+	36.3349i	−0.0226571	+	0.0109111i	−0.445178	−	0.895442i	$-0.646860\pi$
$223$	−75.4502	+	36.3349i	−0.0226571	+	0.0109111i	0.422521	+	0.906353i	$0.361145\pi$
$224$	552.081	+	215.496i	0.164676	+	0.0642786i
$225$	6.27869	+	3.02366i	0.00186035	+	0.000895898i
$226$	859.757	+	1489.14i	0.253054	+	0.438302i
$227$	−2899.81	+	5022.62i	−0.847872	+	1.46856i	0.0352307	+	0.999379i	$0.488783\pi$
$227$	−2899.81	+	5022.62i	−0.847872	+	1.46856i	−0.883103	+	0.469179i	$0.844550\pi$
$228$	−727.124	+	495.745i	−0.211206	+	0.143998i
$229$	−3006.55	−	453.164i	−0.867591	−	0.130768i	−0.299861	−	0.953983i	$-0.596940\pi$
$229$	−3006.55	−	453.164i	−0.867591	−	0.130768i	−0.567730	+	0.823215i	$0.692178\pi$
$230$	−836.392	+	3664.47i	−0.239783	+	1.05056i
$231$	−273.609	−	565.471i	−0.0779314	−	0.161062i
$232$	244.492	+	1071.19i	0.0691884	+	0.303134i
$233$	320.386	+	4275.26i	0.0900824	+	1.20207i	0.840764	+	0.541402i	$0.182106\pi$
$233$	320.386	+	4275.26i	0.0900824	+	1.20207i	−0.750681	+	0.660665i	$0.770275\pi$
$234$	44.9494	+	13.8650i	0.0125574	+	0.00387344i
$235$	−2325.38	−	5924.96i	−0.645493	−	1.64469i
$236$	−2184.79	+	673.919i	−0.602618	+	0.185883i
$237$	−501.868	−	629.322i	−0.137552	−	0.172485i
$238$	4781.78	−	1886.95i	1.30234	−	0.513919i
$239$	1175.31	−	1473.79i	0.318094	−	0.398878i	−0.596919	−	0.802302i	$-0.703609\pi$
$239$	1175.31	−	1473.79i	0.318094	−	0.398878i	0.915013	+	0.403424i	$0.132180\pi$
$240$	349.742	−	891.129i	0.0940657	−	0.239675i
$241$	−271.281	+	3619.99i	−0.0725092	+	0.967569i	0.835736	+	0.549131i	$0.185041\pi$
$241$	−271.281	+	3619.99i	−0.0725092	+	0.967569i	−0.908246	+	0.418438i	$0.862578\pi$
$242$	2545.94	−	383.739i	0.676278	−	0.101932i
$243$	−132.399	+	122.848i	−0.0349521	+	0.0324308i
$244$	1129.28			0.296289
$245$	2940.40	+	2708.07i	0.766755	+	0.706172i
$246$	−3882.26			−1.00619
$247$	−1147.62	+	1064.84i	−0.295634	+	0.274308i
$248$	−1568.16	+	236.362i	−0.401526	+	0.0605203i
$249$	279.412	−	3728.50i	0.0711126	−	0.948931i
$250$	−972.280	+	2477.33i	−0.245969	+	0.626720i
$251$	−2123.82	+	2663.18i	−0.534081	+	0.669716i	−0.973532	−	0.228550i	$-0.926601\pi$
$251$	−2123.82	+	2663.18i	−0.534081	+	0.669716i	0.439451	+	0.898266i	$0.355173\pi$
$252$	−32.3760	+	35.0230i	−0.00809324	+	0.00875493i
$253$	664.279	+	832.980i	0.165071	+	0.206992i
$254$	−3611.62	+	1114.04i	−0.892177	+	0.275200i
$255$	−3033.66	−	7729.64i	−0.745000	−	1.89823i
$256$	244.627	+	75.4573i	0.0597233	+	0.0184222i
$257$	−252.733	−	3372.49i	−0.0613426	−	0.818560i	−0.940015	−	0.341134i	$-0.889189\pi$
$257$	−252.733	−	3372.49i	−0.0613426	−	0.818560i	0.878672	−	0.477426i	$-0.158430\pi$
$258$	480.983	+	2107.33i	0.116065	+	0.508513i
$259$	−1319.92	+	1056.61i	−0.316664	+	0.253493i
$260$	378.951	−	1660.29i	0.0903905	−	0.396027i
$261$	−87.4364	−	13.1789i	−0.0207363	−	0.00312550i
$262$	1299.54	−	886.010i	0.306434	−	0.208923i
$263$	3315.41	−	5742.46i	0.777326	−	1.34637i	−0.156151	−	0.987733i	$-0.549909\pi$
$263$	3315.41	−	5742.46i	0.777326	−	1.34637i	0.933478	−	0.358636i	$-0.116758\pi$
$264$	−135.676	−	234.997i	−0.0316298	−	0.0547844i
$265$	2843.44	+	1369.33i	0.659136	+	0.317423i
$266$	−470.698	−	1515.98i	−0.108497	−	0.349439i
$267$	−2390.92	+	1151.40i	−0.548022	+	0.263913i
$268$	432.264	+	294.713i	0.0985252	+	0.0671733i
$269$	2280.76	+	2116.24i	0.516954	+	0.479663i	0.894964	−	0.446138i	$-0.147201\pi$
$269$	2280.76	+	2116.24i	0.516954	+	0.479663i	−0.378010	+	0.925801i	$0.623392\pi$
$270$	2424.89	+	2249.97i	0.546571	+	0.507144i
$271$	−3923.77	−	2675.18i	−0.879528	−	0.599652i	0.0371363	−	0.999310i	$-0.488176\pi$
$271$	−3923.77	−	2675.18i	−0.879528	−	0.599652i	−0.916664	+	0.399658i	$0.869129\pi$
$272$	2000.64	−	963.456i	0.445980	−	0.214772i
$273$	1951.30	−	2873.46i	0.432593	−	0.637032i
$274$	5068.05	+	2440.64i	1.11742	+	0.538119i
$275$	−35.7572	−	61.9333i	−0.00784088	−	0.0135808i
$276$	−1655.74	+	2867.82i	−0.361100	+	0.625444i
$277$	6312.93	−	4304.09i	1.36934	−	0.933601i	0.369350	−	0.929290i	$-0.379580\pi$
$277$	6312.93	−	4304.09i	1.36934	−	0.933601i	0.999991	−	0.00431057i	$-0.00137210\pi$
$278$	3879.57	+	584.751i	0.836983	+	0.126155i
$279$	28.3998	−	124.428i	0.00609410	−	0.0267000i
$280$	1352.01	+	1074.10i	0.288564	+	0.229248i
$281$	−1780.12	−	7799.22i	−0.377912	−	1.65574i	−0.703851	−	0.710348i	$-0.748538\pi$
$281$	−1780.12	−	7799.22i	−0.377912	−	1.65574i	0.325939	−	0.945391i	$-0.394319\pi$
$282$	−419.057	−	5591.93i	−0.0884911	−	1.18083i
$283$	6421.12	+	1980.65i	1.34875	+	0.416034i	0.883204	−	0.468990i	$-0.155382\pi$
$283$	6421.12	+	1980.65i	1.34875	+	0.416034i	0.465546	+	0.885024i	$0.345858\pi$
$284$	249.045	+	634.555i	0.0520355	+	0.132584i
$285$	−2450.16	+	755.775i	−0.509246	+	0.157082i
$286$	−300.970	−	377.405i	−0.0622264	−	0.0780294i
$287$	2051.65	−	6695.32i	0.421968	−	1.37705i
$288$	−12.8453	+	16.1075i	−0.00262819	+	0.00329565i
$289$	5241.89	−	13356.1i	1.06694	−	2.71853i
$290$	−239.231	+	3192.32i	−0.0484419	+	0.646412i
$291$	1617.61	−	243.816i	0.325863	−	0.0491159i
$292$	−1775.98	+	1647.87i	−0.355930	+	0.330255i
$293$	−3613.68			−0.720525			−0.360262	−	0.932851i	$-0.617313\pi$
$293$	−3613.68			−0.720525			−0.360262	+	0.932851i	$0.617313\pi$
$294$	1772.20	+	3043.42i	0.351554	+	0.603728i
$295$	−6661.54			−1.31475
$296$	−535.373	+	496.753i	−0.105128	+	0.0975446i
$297$	927.176	−	139.749i	0.181145	−	0.0273033i
$298$	443.553	−	5918.81i	0.0862227	−	1.15056i
$299$	−2152.20	+	5483.71i	−0.416271	+	1.06064i
$300$	138.587	−	173.783i	0.0266711	−	0.0334446i
$301$	−3888.47	−	284.151i	−0.744610	−	0.0544127i
$302$	−3869.55	−	4852.26i	−0.737310	−	0.924557i
$303$	1462.11	−	451.000i	0.277214	−	0.0855091i
$304$	−250.507	−	638.282i	−0.0472617	−	0.120421i
$305$	3144.07	+	969.818i	0.590259	+	0.182071i
$306$	13.3546	+	178.205i	0.00249487	+	0.0332917i
$307$	1104.66	+	4839.83i	0.205362	+	0.899751i	0.967607	+	0.252462i	$0.0812402\pi$
$307$	1104.66	+	4839.83i	0.205362	+	0.899751i	−0.762245	+	0.647289i	$0.775903\pi$
$308$	476.975	−	109.797i	0.0882409	−	0.0203126i
$309$	514.771	−	2255.36i	0.0947713	−	0.415220i
$310$	−4568.98	−	688.663i	−0.837099	−	0.126172i
$311$	4109.21	−	2801.61i	0.749235	−	0.510820i	−0.127473	−	0.991842i	$-0.540687\pi$
$311$	4109.21	−	2801.61i	0.749235	−	0.510820i	0.876708	+	0.481022i	$0.159734\pi$
$312$	750.179	−	1299.35i	0.136123	−	0.235773i
$313$	172.202	+	298.263i	0.0310973	+	0.0538621i	0.881155	−	0.472827i	$-0.156766\pi$
$313$	172.202	+	298.263i	0.0310973	+	0.0538621i	−0.850058	+	0.526689i	$0.823433\pi$
$314$	1876.98	+	903.905i	0.337338	+	0.162453i
$315$	−120.217	+	69.7049i	−0.0215031	+	0.0124680i
$316$	565.052	−	272.115i	0.100591	−	0.0484419i
$317$	874.221	+	596.034i	0.154893	+	0.105604i	0.638287	−	0.769799i	$-0.279644\pi$
$317$	874.221	+	596.034i	0.154893	+	0.105604i	−0.483393	+	0.875403i	$0.660596\pi$
$318$	2038.22	+	1891.19i	0.359427	+	0.333500i
$319$	665.181	+	617.197i	0.116749	+	0.108327i
$320$	616.274	+	420.169i	0.107659	+	0.0734004i
$321$	−8341.90	+	4017.25i	−1.45047	+	0.698507i
$322$	−4070.83	−	4371.03i	−0.704529	−	0.756484i
$323$	−5358.58	−	2580.56i	−0.923095	−	0.444539i
$324$	1422.40	+	2463.68i	0.243897	+	0.422441i
$325$	197.709	−	342.442i	0.0337444	−	0.0584470i
$326$	−4169.68	+	2842.84i	−0.708396	+	0.482976i
$327$	−2892.62	−	435.993i	−0.489182	−	0.0737323i
$328$	673.091	−	2949.01i	0.113309	−	0.496438i
$329$	9865.27	+	2232.45i	1.65316	+	0.374100i
$330$	−175.927	−	770.784i	−0.0293468	−	0.128577i
$331$	156.361	+	2086.49i	0.0259649	+	0.346477i	0.995023	+	0.0996448i	$0.0317706\pi$
$331$	156.361	+	2086.49i	0.0259649	+	0.346477i	−0.969058	+	0.246832i	$0.920610\pi$
$332$	2783.76	+	858.677i	0.460177	+	0.141946i
$333$	−21.4732	−	54.7128i	−0.00353370	−	0.00900373i
$334$	−1615.34	+	498.268i	−0.264634	+	0.0816287i
$335$	950.389	+	1191.75i	0.155001	+	0.194365i
$336$	859.295	+	1255.35i	0.139519	+	0.203824i
$337$	−3220.55	+	4038.45i	−0.520578	+	0.652784i	−0.970732	−	0.240167i	$-0.922798\pi$
$337$	−3220.55	+	4038.45i	−0.520578	+	0.652784i	0.450154	+	0.892951i	$0.351369\pi$
$338$	−630.194	+	1605.71i	−0.101414	+	0.258399i
$339$	−329.847	+	4401.50i	−0.0528461	+	0.705182i
$340$	6397.48	−	964.265i	1.02045	−	0.153808i
$341$	−960.095	+	890.838i	−0.152469	+	0.141471i
$342$	55.1820			0.00872486
$343$	−6185.22	+	1447.98i	−0.973675	+	0.227940i
$344$	−1684.14			−0.263961
$345$	−7072.69	+	6562.50i	−1.10371	+	1.02410i
$346$	1425.88	−	214.918i	0.221549	−	0.0333932i
$347$	−576.132	+	7687.95i	−0.0891308	+	1.18937i	0.755914	+	0.654671i	$0.227193\pi$
$347$	−576.132	+	7687.95i	−0.0891308	+	1.18937i	−0.845044	+	0.534696i	$0.820426\pi$
$348$	−1030.40	+	2625.40i	−0.158721	+	0.404415i
$349$	6003.07	−	7527.61i	0.920736	−	1.15457i	−0.0668933	−	0.997760i	$-0.521309\pi$
$349$	6003.07	−	7527.61i	0.920736	−	1.15457i	0.987629	−	0.156806i	$-0.0501199\pi$
$350$	226.466	+	330.846i	0.0345861	+	0.0505270i
$351$	3232.45	+	4053.37i	0.491554	+	0.616390i
$352$	202.029	−	62.3178i	0.0305915	−	0.00943622i
$353$	2366.20	+	6028.97i	0.356770	+	0.909036i	0.990752	+	0.135688i	$0.0433244\pi$
$353$	2366.20	+	6028.97i	0.356770	+	0.909036i	−0.633981	+	0.773348i	$0.718580\pi$
$354$	−5608.17	−	1729.89i	−0.842008	−	0.259725i
$355$	148.423	+	1980.57i	0.0221901	+	0.296107i
$356$	−460.092	−	2015.79i	−0.0684967	−	0.300103i
$357$	12870.1	+	2912.43i	1.90801	+	0.431770i
$358$	54.3632	−	238.181i	0.00802566	−	0.0351627i
$359$	−3068.54	−	462.509i	−0.451119	−	0.0679952i	−0.0804464	−	0.996759i	$-0.525635\pi$
$359$	−3068.54	−	462.509i	−0.451119	−	0.0679952i	−0.370672	+	0.928764i	$0.620873\pi$
$360$	−49.5964	+	33.8143i	−0.00726100	+	0.00495047i
$361$	2511.22	−	4349.57i	0.366121	−	0.634140i
$362$	−448.491	−	776.809i	−0.0651165	−	0.112785i
$363$	5954.52	+	2867.55i	0.860968	+	0.414620i
$364$	1844.40	+	1980.42i	0.265585	+	0.285171i
$365$	−6359.78	+	3062.71i	−0.912017	+	0.439204i
$366$	2395.06	+	1632.93i	0.342055	+	0.233209i
$367$	456.064	+	423.166i	0.0648675	+	0.0601882i	0.711940	−	0.702240i	$-0.247817\pi$
$367$	456.064	+	423.166i	0.0648675	+	0.0601882i	−0.647073	+	0.762428i	$0.724007\pi$
$368$	−1891.36	−	1754.93i	−0.267919	−	0.248592i
$369$	201.134	+	137.131i	0.0283756	+	0.0193462i
$370$	−1917.17	+	923.259i	−0.269375	+	0.129724i
$371$	−4338.68	+	2515.67i	−0.607151	+	0.352041i
$372$	−3667.67	−	1766.26i	−0.511182	−	0.246172i
$373$	920.682	+	1594.67i	0.127805	+	0.221364i	0.922826	−	0.385218i	$-0.125874\pi$
$373$	920.682	+	1594.67i	0.127805	+	0.221364i	−0.795021	+	0.606582i	$0.792540\pi$
$374$	916.937	−	1588.18i	0.126775	−	0.219580i
$375$	−5644.29	+	3848.21i	−0.777253	+	0.529922i
$376$	4320.35	+	651.187i	0.592566	+	0.0893149i
$377$	−1116.45	+	4891.48i	−0.152520	+	0.668233i
$378$	−5122.76	+	1179.23i	−0.697054	+	0.160458i
$379$	−2620.20	−	11479.8i	−0.355120	−	1.55588i	−0.765174	−	0.643823i	$-0.777347\pi$
$379$	−2620.20	−	11479.8i	−0.355120	−	1.55588i	0.410054	−	0.912061i	$-0.365510\pi$
$380$	−149.295	−	1992.20i	−0.0201544	−	0.268942i
$381$	−9270.71	−	2859.63i	−1.24659	−	0.384524i
$382$	610.939	+	1556.65i	0.0818282	+	0.208495i
$383$	−6666.14	+	2056.23i	−0.889357	+	0.274330i	−0.705574	−	0.708636i	$-0.749311\pi$
$383$	−6666.14	+	2056.23i	−0.889357	+	0.274330i	−0.183784	+	0.982967i	$0.558835\pi$
$384$	409.714	+	513.765i	0.0544482	+	0.0682759i
$385$	1422.26	+	103.932i	0.188273	+	0.0137581i
$386$	2807.09	−	3519.98i	0.370148	−	0.464151i
$387$	49.5168	−	126.167i	0.00650408	−	0.0165721i
$388$	−95.2504	+	1271.03i	−0.0124629	+	0.166306i
$389$	10247.0	−	1544.48i	1.33558	−	0.201307i	0.557872	−	0.829927i	$-0.311618\pi$
$389$	10247.0	−	1544.48i	1.33558	−	0.201307i	0.777712	+	0.628620i	$0.216380\pi$
$390$	3204.48	−	2973.33i	0.416065	−	0.386052i
$391$	−22379.9			−2.89464
$392$	−2619.07	+	818.526i	−0.337457	+	0.105464i
$393$	4037.34			0.518210
$394$	−6769.65	+	6281.32i	−0.865610	+	0.803169i
$395$	1806.88	−	272.343i	0.230162	−	0.0346913i
$396$	−1.27152	+	16.9672i	−0.000161354	+	0.00215312i
$397$	4267.23	−	10872.7i	0.539461	−	1.37452i	−0.358121	−	0.933675i	$-0.616582\pi$
$397$	4267.23	−	10872.7i	0.539461	−	1.37452i	0.897582	−	0.440848i	$-0.145322\pi$
$398$	−5075.35	+	6364.29i	−0.639207	+	0.801540i
$399$	1193.80	−	3895.84i	0.149787	−	0.488812i
$400$	107.980	+	135.402i	0.0134975	+	0.0169253i
$401$	−10430.8	+	3217.48i	−1.29898	+	0.400682i	−0.865693	−	0.500575i	$-0.833122\pi$
$401$	−10430.8	+	3217.48i	−1.29898	+	0.400682i	−0.433285	+	0.901257i	$0.642646\pi$
$402$	490.629	+	1250.10i	0.0608715	+	0.155098i
$403$	−6920.00	−	2134.54i	−0.855360	−	0.263843i
$404$	89.0901	+	1188.82i	0.0109713	+	0.146402i
$405$	1844.39	+	8080.80i	0.226292	+	0.991452i
$406$	−3983.23	−	3164.45i	−0.486907	−	0.386821i
$407$	−134.216	+	588.037i	−0.0163460	+	0.0716165i
$408$	5636.27	+	849.531i	0.683914	+	0.103083i
$409$	12166.4	−	8294.94i	1.47088	−	1.00283i	0.478710	−	0.877973i	$-0.341105\pi$
$409$	12166.4	−	8294.94i	1.47088	−	1.00283i	0.992174	−	0.124859i	$-0.0398478\pi$
$410$	4406.58	−	7632.42i	0.530794	−	0.919362i
$411$	7219.59	+	12504.7i	0.866462	+	1.50076i
$412$	1623.95	+	782.052i	0.194190	+	0.0935169i
$413$	5947.10	−	8757.63i	0.708565	−	1.04343i
$414$	187.080	−	90.0928i	0.0222088	−	0.0106952i
$415$	7012.98	+	4781.37i	0.829527	+	0.565562i
$416$	856.936	+	795.120i	0.100997	+	0.0937115i
$417$	7382.57	+	6850.03i	0.866969	+	0.804430i
$418$	−467.884	−	318.998i	−0.0547487	−	0.0373270i
$419$	10057.6	−	4843.50i	1.17267	−	0.564726i	0.256900	−	0.966438i	$-0.417299\pi$
$419$	10057.6	−	4843.50i	1.17267	−	0.564726i	0.915766	+	0.401712i	$0.131585\pi$
$420$	1314.32	+	4233.03i	0.152695	+	0.491787i
$421$	5498.41	+	2647.89i	0.636522	+	0.306533i	0.724173	−	0.689618i	$-0.242222\pi$
$421$	5498.41	+	2647.89i	0.636522	+	0.306533i	−0.0876508	+	0.996151i	$0.527936\pi$
$422$	−1191.57	−	2063.87i	−0.137452	−	0.238075i
$423$	−175.810	+	304.511i	−0.0202084	+	0.0350020i
$424$	−1789.95	+	1220.37i	−0.205018	+	0.139779i
$425$	1485.43	+	223.893i	0.169539	+	0.0255539i
$426$	−389.368	+	1705.93i	−0.0442839	+	0.194021i
$427$	−4081.85	+	3267.57i	−0.462610	+	0.370325i
$428$	−1605.26	−	7033.09i	−0.181292	−	0.794293i
$429$	−92.5979	−	1235.63i	−0.0104211	−	0.139060i
$430$	−4688.89	−	1446.33i	−0.525857	−	0.162205i
$431$	−901.272	−	2296.40i	−0.100726	−	0.256645i	0.871624	−	0.490175i	$-0.163067\pi$
$431$	−901.272	−	2296.40i	−0.100726	−	0.256645i	−0.972349	+	0.233531i	$0.924972\pi$
$432$	−2169.82	+	669.300i	−0.241656	+	0.0745410i
$433$	2404.57	+	3015.24i	0.266874	+	0.334649i	0.897153	−	0.441719i	$-0.145631\pi$
$433$	2404.57	+	3015.24i	0.266874	+	0.334649i	−0.630280	+	0.776368i	$0.717060\pi$
$434$	4984.32	−	5391.83i	0.551279	−	0.596351i
$435$	−5123.46	+	6424.61i	−0.564715	+	0.708130i
$436$	832.698	−	2121.68i	0.0914656	−	0.233050i
$437$	−516.437	+	6891.38i	−0.0565321	+	0.754369i
$438$	−6149.46	+	926.882i	−0.670851	+	0.101115i
$439$	2596.43	−	2409.14i	0.282280	−	0.261917i	−0.526307	−	0.850295i	$-0.676424\pi$
$439$	2596.43	−	2409.14i	0.282280	−	0.261917i	0.808586	+	0.588377i	$0.200233\pi$
$440$	615.998			0.0667422
$441$	15.6860	−	220.273i	0.00169377	−	0.0237850i
$442$	10139.9			1.09119
$443$	−497.672	+	461.773i	−0.0533750	+	0.0495248i	−0.706409	−	0.707804i	$-0.749686\pi$
$443$	−497.672	+	461.773i	−0.0533750	+	0.0495248i	0.653034	+	0.757328i	$0.273496\pi$
$444$	−1853.77	+	279.410i	−0.198144	+	0.0298654i
$445$	450.192	−	6007.39i	0.0479576	−	0.639950i
$446$	61.1898	−	155.909i	0.00649646	−	0.0165527i
$447$	9499.29	−	11911.7i	1.00515	−	1.26041i
$448$	−1102.56	+	435.082i	−0.116274	+	0.0458833i
$449$	181.106	+	227.100i	0.0190355	+	0.0238697i	0.791258	−	0.611482i	$-0.209426\pi$
$449$	181.106	+	227.100i	0.0190355	+	0.0238697i	−0.772223	+	0.635352i	$0.780855\pi$
$450$	−13.3184	+	4.10819i	−0.00139519	+	0.000430360i
$451$	−912.667	−	2325.44i	−0.0952901	−	0.242795i
$452$	−3286.24	−	1013.67i	−0.341973	−	0.105485i
$453$	−1190.52	−	15886.4i	−0.123478	−	1.64770i
$454$	−2581.07	−	11308.4i	−0.266819	−	1.16901i
$455$	3434.32	+	7097.74i	0.353853	+	0.731313i
$456$	391.655	−	1715.95i	0.0402213	−	0.176221i
$457$	1399.18	+	210.892i	0.143218	+	0.0215867i	0.220260	−	0.975441i	$-0.429309\pi$
$457$	1399.18	+	210.892i	0.143218	+	0.0215867i	−0.0770419	+	0.997028i	$0.524548\pi$
$458$	5024.37	−	3425.56i	0.512606	−	0.349489i
$459$	−9848.00	+	17057.2i	−1.00145	+	1.73456i
$460$	−3758.71	−	6510.28i	−0.380980	−	0.659877i
$461$	17624.6	+	8487.55i	1.78060	+	0.857494i	0.956869	+	0.290518i	$0.0938277\pi$
$461$	17624.6	+	8487.55i	1.78060	+	0.857494i	0.823735	+	0.566975i	$0.191887\pi$
$462$	1170.37	+	456.836i	0.117859	+	0.0460042i
$463$	1110.63	−	534.850i	0.111480	−	0.0536859i	−0.377313	−	0.926086i	$-0.623152\pi$
$463$	1110.63	−	534.850i	0.111480	−	0.0536859i	0.488793	+	0.872400i	$0.337437\pi$
$464$	−1815.64	−	1237.88i	−0.181657	−	0.123852i
$465$	−8694.47	−	8067.29i	−0.867089	−	0.804541i
$466$	−6285.55	−	5832.14i	−0.624834	−	0.579761i
$467$	−5645.70	−	3849.17i	−0.559426	−	0.381410i	0.250345	−	0.968157i	$-0.419456\pi$
$467$	−5645.70	−	3849.17i	−0.559426	−	0.381410i	−0.809771	+	0.586747i	$0.800408\pi$
$468$	−84.7617	+	40.8191i	−0.00837203	+	0.00403176i
$469$	−2415.20	+	185.498i	−0.237790	+	0.0182633i
$470$	11469.2	+	5523.30i	1.12561	+	0.542065i
$471$	2673.81	+	4631.18i	0.261577	+	0.453064i
$472$	2286.37	−	3960.11i	0.222963	−	0.386184i
$473$	−1149.20	+	783.509i	−0.111713	+	0.0761644i
$474$	1591.89	+	239.938i	0.154257	+	0.0232505i
$475$	103.220	−	452.238i	0.00997069	−	0.0436844i
$476$	−4443.68	+	9271.34i	−0.427890	+	0.892754i
$477$	−38.7956	−	169.975i	−0.00372396	−	0.0163157i
$478$	281.740	+	3759.56i	0.0269592	+	0.359746i
$479$	−111.918	−	34.5221i	−0.0106757	−	0.00329302i	0.289413	−	0.957204i	$-0.406540\pi$
$479$	−111.918	−	34.5221i	−0.0106757	−	0.00329302i	−0.300088	+	0.953911i	$0.597016\pi$
$480$	699.485	+	1782.26i	0.0665145	+	0.169476i
$481$	−3186.83	+	983.007i	−0.302094	+	0.0931835i
$482$	−4526.71	−	5676.32i	−0.427772	−	0.536409i
$483$	−2313.27	−	15156.8i	−0.217925	−	1.42787i
$484$	−3210.59	+	4025.96i	−0.301521	+	0.378095i
$485$	−1356.75	+	3456.93i	−0.127024	+	0.323652i
$486$	26.9944	−	360.215i	0.00251953	−	0.0336208i
$487$	−7969.89	+	1201.27i	−0.741582	+	0.111775i	−0.508958	−	0.860791i	$-0.669969\pi$
$487$	−7969.89	+	1201.27i	−0.741582	+	0.111775i	−0.232624	+	0.972567i	$0.574731\pi$
$488$	−1655.64	+	1536.21i	−0.153580	+	0.142502i
$489$	−12954.1			−1.19797
$490$	−7994.84	+	29.6461i	−0.737081	+	0.00273321i
$491$	15745.5			1.44722			0.723611	−	0.690208i	$-0.242481\pi$
$491$	15745.5			1.44722			0.723611	+	0.690208i	$0.242481\pi$
$492$	5691.79	−	5281.21i	0.521557	−	0.483934i
$493$	−18848.0	+	2840.88i	−1.72185	+	0.259527i
$494$	233.986	−	3122.33i	0.0213108	−	0.284373i
$495$	−18.1115	+	46.1473i	−0.00164455	+	0.00419023i
$496$	1977.55	−	2479.77i	0.179022	−	0.224486i
$497$	−2736.28	−	1573.03i	−0.246959	−	0.141972i
$498$	4662.40	+	5846.46i	0.419532	+	0.526076i
$499$	707.445	−	218.218i	0.0634661	−	0.0195767i	−0.262860	−	0.964834i	$-0.584666\pi$
$499$	707.445	−	218.218i	0.0634661	−	0.0195767i	0.326326	+	0.945257i	$0.394189\pi$
$500$	−1944.56	−	4954.66i	−0.173927	−	0.443158i
$501$	−4146.45	−	1279.01i	−0.369760	−	0.114056i
$502$	−509.112	−	6793.63i	−0.0452645	−	0.604013i
$503$	−2435.16	−	10669.1i	−0.215862	−	0.945752i	−0.960499	−	0.278283i	$-0.910235\pi$
$503$	−2435.16	−	10669.1i	−0.215862	−	0.945752i	0.744637	−	0.667469i	$-0.232622\pi$
$504$	−0.176860	−	95.3899i	−1.56309e−5	−	0.00843056i
$505$	−772.917	+	3386.37i	−0.0681077	+	0.298399i
$506$	−2107.04	−	317.585i	−0.185117	−	0.0279020i
$507$	−3658.41	+	2494.26i	−0.320465	+	0.218489i
$508$	3779.53	−	6546.34i	0.330098	−	0.571746i
$509$	−4325.35	−	7491.72i	−0.376656	−	0.652387i	0.613918	−	0.789370i	$-0.289593\pi$
$509$	−4325.35	−	7491.72i	−0.376656	−	0.652387i	−0.990573	+	0.136983i	$0.956259\pi$
$510$	14962.6	+	7205.63i	1.29913	+	0.625628i
$511$	1651.29	−	11095.2i	0.142953	−	0.960511i
$512$	−461.296	+	222.148i	−0.0398176	+	0.0191751i
$513$	5025.12	+	3426.07i	0.432484	+	0.294863i
$514$	4958.28	+	4600.61i	0.425487	+	0.394794i
$515$	3849.69	+	3571.99i	0.329393	+	0.305632i
$516$	−3571.86	−	2435.25i	−0.304734	−	0.207764i
$517$	3251.00	−	1565.60i	0.276555	−	0.133182i
$518$	497.785	−	3344.66i	0.0422228	−	0.283698i
$519$	3334.90	+	1606.01i	0.282054	+	0.135830i
$520$	1702.99	+	2949.66i	0.143617	+	0.248753i
$521$	−7426.40	+	12862.9i	−0.624484	+	1.08164i	0.364156	+	0.931338i	$0.381358\pi$
$521$	−7426.40	+	12862.9i	−0.624484	+	1.08164i	−0.988640	+	0.150301i	$0.951976\pi$
$522$	146.119	−	99.6220i	0.0122518	−	0.00835314i
$523$	19150.6	+	2886.50i	1.60115	+	0.241334i	0.888055	−	0.459737i	$-0.152056\pi$
$523$	19150.6	+	2886.50i	1.60115	+	0.241334i	0.713091	+	0.701071i	$0.247295\pi$
$524$	−699.978	+	3066.80i	−0.0583563	+	0.255676i
$525$	1.90813	+	1029.15i	0.000158624	+	0.0855542i
$526$	2950.99	+	12929.1i	0.244618	+	1.07174i
$527$	−2055.95	−	27434.8i	−0.169941	−	2.26770i
$528$	518.592	+	159.964i	0.0427440	+	0.0131848i
$529$	5055.24	+	12880.5i	0.415488	+	1.05865i
$530$	−6031.53	+	1860.48i	−0.494327	+	0.152480i
$531$	229.447	+	287.717i	0.0187517	+	0.0235138i
$532$	2752.35	+	1582.27i	0.224303	+	0.128948i
$533$	8612.04	−	10799.2i	0.699867	−	0.877605i
$534$	1939.02	−	4940.55i	0.157134	−	0.400372i
$535$	1570.72	−	20959.8i	0.126931	−	1.69377i
$536$	−1034.66	+	155.949i	−0.0833774	+	0.0125671i
$537$	459.706	−	426.545i	0.0369419	−	0.0342770i
$538$	−6222.65			−0.498657
$539$	−1406.36	+	1777.00i	−0.112386	+	0.142005i
$540$	−6615.88			−0.527226
$541$	6227.55	−	5778.32i	0.494904	−	0.459204i	−0.392796	−	0.919626i	$-0.628492\pi$
$541$	6227.55	−	5778.32i	0.494904	−	0.459204i	0.887700	+	0.460422i	$0.152302\pi$
$542$	9391.83	−	1415.59i	0.744305	−	0.112186i
$543$	172.064	−	2296.04i	0.0135985	−	0.181459i
$544$	−1622.51	+	4134.09i	−0.127876	+	0.325822i
$545$	4140.44	−	5191.95i	0.325426	−	0.408071i
$546$	1048.09	+	6867.23i	0.0821507	+	0.538261i
$547$	9746.27	+	12221.4i	0.761829	+	0.955303i	0.999873	−	0.0159515i	$-0.00507773\pi$
$547$	9746.27	+	12221.4i	0.761829	+	0.955303i	−0.238044	+	0.971254i	$0.576506\pi$
$548$	−10750.4	+	3316.06i	−0.838019	+	0.258495i
$549$	−66.4056	−	169.199i	−0.00516234	−	0.0131534i
$550$	136.675	+	42.1585i	0.0105960	+	0.00326844i
$551$	439.847	+	5869.35i	0.0340074	+	0.453798i
$552$	−1473.75	−	6456.90i	−0.113635	−	0.497870i
$553$	−1255.06	+	2618.56i	−0.0965107	+	0.201361i
$554$	−3400.37	+	14898.0i	−0.260773	+	1.14252i
$555$	−5401.11	−	814.087i	−0.413089	−	0.0622632i
$556$	−6483.32	+	4420.25i	−0.494521	+	0.337159i
$557$	−9024.09	+	15630.2i	−0.686469	+	1.18900i	0.286504	+	0.958079i	$0.407507\pi$
$557$	−9024.09	+	15630.2i	−0.686469	+	1.18900i	−0.972973	+	0.230920i	$0.925826\pi$
$558$	127.628	+	221.058i	0.00968264	+	0.0167708i
$559$	−6928.85	−	3336.76i	−0.524256	−	0.252469i
$560$	−3443.33	+	264.463i	−0.259834	+	0.0199564i
$561$	4241.22	−	2042.46i	0.319188	−	0.153713i
$562$	13219.5	+	9012.89i	0.992224	+	0.676487i
$563$	1620.10	+	1503.24i	0.121277	+	0.112529i	0.738480	−	0.674275i	$-0.235544\pi$
$563$	1620.10	+	1503.24i	0.121277	+	0.112529i	−0.617203	+	0.786804i	$0.711734\pi$
$564$	8221.34	+	7628.28i	0.613796	+	0.569519i
$565$	−8278.85	−	5644.42i	−0.616449	−	0.420288i
$566$	−12108.4	+	5831.10i	−0.899212	+	0.433038i
$567$	−12270.0	−	4789.40i	−0.908807	−	0.354737i
$568$	−1228.34	−	591.537i	−0.0907394	−	0.0436978i
$569$	−8157.16	−	14128.6i	−0.600994	−	1.04095i	−0.992671	−	0.120850i	$-0.961438\pi$
$569$	−8157.16	−	14128.6i	−0.600994	−	1.04095i	0.391676	−	0.920103i	$-0.371895\pi$
$570$	2564.08	−	4441.11i	0.188417	−	0.326347i
$571$	5465.52	−	3726.33i	0.400569	−	0.273103i	−0.346235	−	0.938148i	$-0.612540\pi$
$571$	5465.52	−	3726.33i	0.400569	−	0.273103i	0.746804	+	0.665045i	$0.231588\pi$
$572$	954.655	+	143.891i	0.0697834	+	0.0105182i
$573$	−955.173	+	4184.88i	−0.0696386	+	0.305107i
$574$	6100.03	+	12607.0i	0.443572	+	0.916734i
$575$	−388.405	−	1701.71i	−0.0281697	−	0.123420i
$576$	−3.07923	−	41.0894i	−0.000222745	−	0.00297233i
$577$	14254.0	+	4396.78i	1.02843	+	0.317228i	0.762653	−	0.646808i	$-0.223896\pi$
$577$	14254.0	+	4396.78i	1.02843	+	0.317228i	0.265774	+	0.964035i	$0.414373\pi$
$578$	10483.8	+	26712.2i	0.754442	+	1.92229i
$579$	11043.4	−	3406.43i	0.792655	−	0.244502i
$580$	−3991.92	−	5005.71i	−0.285785	−	0.358363i
$581$	−12546.7	+	4951.08i	−0.895912	+	0.353538i
$582$	−2039.91	+	2557.97i	−0.145287	+	0.182184i
$583$	−653.649	+	1665.47i	−0.0464346	+	0.118313i
$584$	362.101	−	4831.90i	0.0256573	−	0.342372i
$585$	−271.044	+	40.8533i	−0.0191561	+	0.00288731i
$586$	5298.04	−	4915.86i	0.373481	−	0.346540i
$587$	16083.6			1.13090			0.565451	−	0.824782i	$-0.308702\pi$
$587$	16083.6			1.13090			0.565451	+	0.824782i	$0.308702\pi$
$588$	−6738.33	−	2051.17i	−0.472592	−	0.143858i
$589$	−8495.34			−0.594303
$590$	9766.51	−	9062.00i	0.681493	−	0.632333i
$591$	−23440.4	+	3533.07i	−1.63149	+	0.245907i
$592$	109.156	−	1456.58i	0.00757818	−	0.101124i
$593$	−9527.73	+	24276.3i	−0.659793	+	1.68112i	0.0700806	+	0.997541i	$0.477674\pi$
$593$	−9527.73	+	24276.3i	−0.659793	+	1.68112i	−0.729873	+	0.683583i	$0.760421\pi$
$594$	−1169.23	+	1466.17i	−0.0807644	+	0.101275i
$595$	−20334.1	+	21996.6i	−1.40103	+	1.51558i
$596$	7401.33	+	9280.98i	0.508675	+	0.637858i
$597$	−19966.9	+	6158.99i	−1.36883	+	0.422229i
$598$	−4304.40	−	10967.4i	−0.294348	−	0.749986i
$599$	−657.745	−	202.888i	−0.0448660	−	0.0138393i	0.272241	−	0.962229i	$-0.412235\pi$
$599$	−657.745	−	202.888i	−0.0448660	−	0.0138393i	−0.317107	+	0.948390i	$0.602711\pi$
$600$	33.2215	+	443.311i	0.00226044	+	0.0301635i
$601$	191.899	+	840.765i	0.0130245	+	0.0570641i	0.981023	−	0.193894i	$-0.0621116\pi$
$601$	191.899	+	840.765i	0.0130245	+	0.0570641i	−0.967998	+	0.250958i	$0.919255\pi$
$602$	6087.44	−	4873.06i	0.412136	−	0.329919i
$603$	18.7379	−	82.0961i	0.00126545	−	0.00554430i
$604$	12273.9	+	1849.99i	0.826852	+	0.124628i
$605$	−12396.2	+	8451.62i	−0.833023	+	0.567946i
$606$	−1530.08	+	2650.18i	−0.102567	+	0.177651i
$607$	14707.0	+	25473.3i	0.983425	+	1.70334i	0.648738	+	0.761012i	$0.275297\pi$
$607$	14707.0	+	25473.3i	0.983425	+	1.70334i	0.334686	+	0.942330i	$0.391370\pi$
$608$	1235.55	+	595.011i	0.0824149	+	0.0396889i
$609$	−3872.18	−	12471.2i	−0.257650	−	0.829815i
$610$	−5928.82	+	2855.17i	−0.393526	+	0.189512i
$611$	16484.5	+	11238.9i	1.09147	+	0.744155i
$612$	−261.999	−	243.099i	−0.0173050	−	0.0160567i
$613$	−14222.3	−	13196.4i	−0.937088	−	0.869491i	0.0545537	−	0.998511i	$-0.482626\pi$
$613$	−14222.3	−	13196.4i	−0.937088	−	0.869491i	−0.991642	+	0.129020i	$0.958817\pi$
$614$	−8203.38	−	5592.97i	−0.539188	−	0.367612i
$615$	20382.3	−	9815.59i	1.33641	−	0.643582i
$616$	−549.933	+	809.825i	−0.0359698	+	0.0529688i
$617$	−12488.4	−	6014.11i	−0.814854	−	0.392413i	−0.0204411	−	0.999791i	$-0.506507\pi$
$617$	−12488.4	−	6014.11i	−0.814854	−	0.392413i	−0.794413	+	0.607378i	$0.792221\pi$
$618$	2313.36	+	4006.86i	0.150578	+	0.260808i
$619$	4555.06	−	7889.59i	0.295773	−	0.512293i	−0.679392	−	0.733776i	$-0.737756\pi$
$619$	4555.06	−	7889.59i	0.295773	−	0.512293i	0.975164	+	0.221483i	$0.0710896\pi$
$620$	7635.42	−	5205.74i	0.494590	−	0.337206i
$621$	22629.9	+	3410.90i	1.46233	+	0.220410i
$622$	−2213.37	+	9697.41i	−0.142682	+	0.625130i
$623$	7495.74	+	5954.95i	0.482039	+	0.382954i
$624$	667.722	+	2925.48i	0.0428370	+	0.187681i
$625$	−1260.01	−	16813.7i	−0.0806408	−	1.07608i
$626$	−658.208	−	203.030i	−0.0420244	−	0.0129628i
$627$	−531.058	−	1353.11i	−0.0338252	−	0.0861853i
$628$	−3981.47	+	1228.12i	−0.252990	+	0.0780372i
$629$	−7899.50	−	9905.66i	−0.500753	−	0.627925i
$630$	81.4280	−	265.731i	0.00514948	−	0.0168048i
$631$	−259.086	+	324.884i	−0.0163456	+	0.0204967i	−0.789937	−	0.613188i	$-0.789887\pi$
$631$	−259.086	+	324.884i	−0.0163456	+	0.0204967i	0.773592	+	0.633685i	$0.218458\pi$
$632$	−458.255	+	1167.61i	−0.0288424	+	0.0734892i
$633$	457.149	−	6100.23i	0.0287047	−	0.383037i
$634$	−2092.51	+	315.395i	−0.131079	+	0.0197570i
$635$	16144.7	−	14980.1i	1.00895	−	0.936170i
$636$	−5560.92			−0.346706
$637$	−12397.1	−	1821.57i	−0.771099	−	0.113302i
$638$	−1814.83			−0.112617
$639$	80.4302	−	74.6284i	0.00497930	−	0.00462011i
$640$	−1475.10	+	222.335i	−0.0911067	+	0.0137321i
$641$	−1309.82	+	17478.3i	−0.0807094	+	1.07699i	0.798953	+	0.601394i	$0.205388\pi$
$641$	−1309.82	+	17478.3i	−0.0807094	+	1.07699i	−0.879662	+	0.475599i	$0.842231\pi$
$642$	6765.24	−	17237.6i	0.415892	−	1.05968i
$643$	11037.1	−	13840.1i	0.676923	−	0.848835i	−0.318143	−	0.948043i	$-0.603059\pi$
$643$	11037.1	−	13840.1i	0.676923	−	0.848835i	0.995067	+	0.0992076i	$0.0316308\pi$
$644$	11914.4	+	870.647i	0.729025	+	0.0532738i
$645$	−7853.21	−	9847.61i	−0.479410	−	0.601162i
$646$	11366.7	−	3506.16i	0.692286	−	0.213542i
$647$	−3334.62	−	8496.47i	−0.202624	−	0.516276i	0.793054	−	0.609151i	$-0.208490\pi$
$647$	−3334.62	−	8496.47i	−0.202624	−	0.516276i	−0.995678	+	0.0928746i	$0.970394\pi$
$648$	−5436.84	−	1677.04i	−0.329598	−	0.101667i
$649$	−282.217	−	3765.92i	−0.0170693	−	0.227774i
$650$	175.978	+	771.008i	0.0106191	+	0.0465253i
$651$	18367.7	−	4228.16i	1.10582	−	0.254554i
$652$	2245.94	−	9840.09i	0.134904	−	0.591055i
$653$	−11999.0	−	1808.56i	−0.719079	−	0.108384i	−0.220699	−	0.975342i	$-0.570834\pi$
$653$	−11999.0	−	1808.56i	−0.719079	−	0.108384i	−0.498381	+	0.866958i	$0.666072\pi$
$654$	4833.99	−	3295.76i	0.289027	−	0.197056i
$655$	−4582.60	+	7937.30i	−0.273370	+	0.473490i
$656$	3024.85	+	5239.19i	0.180031	+	0.311823i
$657$	351.334	+	169.193i	0.0208628	+	0.0100470i
$658$	−17500.4	+	10147.2i	−1.03683	+	0.601183i
$659$	−24254.4	+	11680.3i	−1.43372	+	0.690441i	−0.979685	−	0.200545i	$-0.935729\pi$
$659$	−24254.4	+	11680.3i	−1.43372	+	0.690441i	−0.454031	+	0.890986i	$0.650015\pi$
$660$	1306.46	+	890.729i	0.0770513	+	0.0525327i
$661$	17246.4	+	16002.4i	1.01484	+	0.941633i	0.998303	−	0.0582304i	$-0.0185458\pi$
$661$	17246.4	+	16002.4i	1.01484	+	0.941633i	0.0165357	+	0.999863i	$0.494736\pi$
$662$	−3067.59	−	2846.31i	−0.180099	−	0.167107i
$663$	21505.5	+	14662.2i	1.25973	+	0.858872i
$664$	−5249.38	+	2527.97i	−0.306801	+	0.147747i
$665$	6304.09	+	6768.98i	0.367612	+	0.394722i
$666$	105.910	+	51.0036i	0.00616206	+	0.00296749i
$667$	11073.7	+	19180.3i	0.642844	+	1.11344i
$668$	1690.45	−	2927.94i	0.0979122	−	0.169589i
$669$	355.220	−	242.185i	0.0205286	−	0.0139961i
$670$	−3014.56	−	454.372i	−0.173825	−	0.0261999i
$671$	−415.061	+	1818.50i	−0.0238797	+	0.104624i
$672$	−2967.52	−	671.531i	−0.170349	−	0.0385489i
$673$	1068.72	+	4682.36i	0.0612126	+	0.268190i	0.996268	−	0.0863111i	$-0.0275079\pi$
$673$	1068.72	+	4682.36i	0.0612126	+	0.268190i	−0.935056	+	0.354501i	$0.884651\pi$
$674$	−772.017	−	10301.8i	−0.0441201	−	0.588742i
$675$	−1467.90	−	452.787i	−0.0837029	−	0.0258189i
$676$	−1260.39	−	3211.42i	−0.0717108	−	0.182716i
$677$	4903.21	−	1512.44i	0.278354	−	0.0858608i	−0.152435	−	0.988313i	$-0.548712\pi$
$677$	4903.21	−	1512.44i	0.278354	−	0.0858608i	0.430789	+	0.902453i	$0.358235\pi$
$678$	−5503.97	−	6901.77i	−0.311768	−	0.390945i
$679$	−3333.44	−	4869.83i	−0.188403	−	0.275239i
$680$	−8067.64	+	10116.5i	−0.454970	+	0.570515i
$681$	10877.7	−	27716.0i	0.612094	−	1.55959i
$682$	195.752	−	2612.12i	0.0109908	−	0.146662i
$683$	−25686.2	+	3871.57i	−1.43902	+	0.216898i	−0.821749	−	0.569849i	$-0.807001\pi$
$683$	−25686.2	+	3871.57i	−1.43902	+	0.216898i	−0.617275	+	0.786747i	$0.711763\pi$
$684$	−80.9026	+	75.0666i	−0.00452250	+	0.00419626i
$685$	−32778.5			−1.82833
$686$	7098.43	−	10536.9i	0.395072	−	0.586446i
$687$	15609.4			0.866867
$688$	2469.12	−	2291.01i	0.136823	−	0.126953i
$689$	−9782.08	+	1474.41i	−0.540882	+	0.0815248i
$690$	1442.03	−	19242.6i	0.0795613	−	1.06167i
$691$	−1648.93	+	4201.40i	−0.0907788	+	0.231301i	−0.969051	−	0.246860i	$-0.920601\pi$
$691$	−1648.93	+	4201.40i	−0.0907788	+	0.231301i	0.878272	+	0.478161i	$0.158696\pi$
$692$	−1798.13	+	2254.79i	−0.0987785	+	0.123864i
$693$	−44.4988	−	65.0084i	−0.00243920	−	0.00356344i
$694$	−9613.59	−	12055.1i	−0.525831	−	0.659372i
$695$	−21846.6	+	6738.79i	−1.19236	+	0.367794i
$696$	−2060.79	−	5250.81i	−0.112233	−	0.285965i
$697$	50143.6	+	15467.3i	2.72500	+	0.840551i
$698$	1439.03	+	19202.5i	0.0780344	+	1.04130i
$699$	−4897.68	−	21458.1i	−0.265018	−	1.16112i
$700$	−782.088	−	176.981i	−0.0422288	−	0.00955610i
$701$	6923.24	−	30332.7i	0.373020	−	1.63431i	−0.345226	−	0.938519i	$-0.612198\pi$
$701$	6923.24	−	30332.7i	0.373020	−	1.63431i	0.718246	−	0.695789i	$-0.244945\pi$
$702$	−10253.1	−	1545.40i	−0.551251	−	0.0830877i
$703$	−3232.50	+	2203.88i	−0.173423	+	0.118238i
$704$	−211.422	+	366.194i	−0.0113186	+	0.0196043i
$705$	16338.3	+	28298.7i	0.872816	+	1.51176i
$706$	−11670.6	−	5620.25i	−0.622136	−	0.299605i
$707$	−3761.89	−	4039.31i	−0.200114	−	0.214871i
$708$	10575.4	−	5092.85i	0.561367	−	0.270340i
$709$	21491.3	+	14652.5i	1.13840	+	0.776147i	0.977523	−	0.210828i	$-0.0676160\pi$
$709$	21491.3	+	14652.5i	1.13840	+	0.776147i	0.160875	+	0.986975i	$0.448568\pi$
$710$	−2911.87	−	2701.82i	−0.153916	−	0.142813i
$711$	−73.9979	−	68.6600i	−0.00390315	−	0.00362159i
$712$	3416.72	+	2329.48i	0.179841	+	0.122614i
$713$	−28801.1	+	13869.9i	−1.51278	+	0.728515i
$714$	−22830.8	+	13237.9i	−1.19667	+	0.693859i
$715$	2534.33	+	1220.47i	0.132557	+	0.0638362i
$716$	244.306	+	423.151i	0.0127516	+	0.0220864i
$717$	−4838.77	+	8380.99i	−0.252032	+	0.436532i
$718$	5127.98	−	3496.20i	0.266538	−	0.181723i
$719$	10159.8	+	1531.34i	0.526977	+	0.0794290i	0.407142	−	0.913365i	$-0.366525\pi$
$719$	10159.8	+	1531.34i	0.526977	+	0.0794290i	0.119835	+	0.992794i	$0.461764\pi$
$720$	26.7144	−	117.043i	0.00138276	−	0.00605827i
$721$	−8132.75	+	1872.12i	−0.420082	+	0.0967009i
$722$	2235.20	+	9793.05i	0.115215	+	0.504792i
$723$	−1392.71	−	18584.4i	−0.0716395	−	0.955963i
$724$	1714.26	+	528.780i	0.0879974	+	0.0271436i
$725$	−543.120	−	1383.85i	−0.0278220	−	0.0708893i
$726$	−12630.8	+	3896.09i	−0.645693	+	0.199170i
$727$	−10542.1	−	13219.4i	−0.537808	−	0.674390i	0.436475	−	0.899716i	$-0.356227\pi$
$727$	−10542.1	−	13219.4i	−0.537808	−	0.674390i	−0.974283	+	0.225326i	$0.927655\pi$
$728$	−5398.14	−	394.471i	−0.274819	−	0.0200825i
$729$	12550.7	−	15738.0i	0.637640	−	0.799575i
$730$	5157.76	−	13141.8i	0.261503	−	0.666299i
$731$	2183.34	−	29134.7i	0.110470	−	1.47413i
$732$	−5732.76	+	864.074i	−0.289466	+	0.0436299i
$733$	3918.25	−	3635.60i	0.197440	−	0.183198i	−0.575256	−	0.817973i	$-0.695098\pi$
$733$	3918.25	−	3635.60i	0.197440	−	0.183198i	0.772697	+	0.634775i	$0.218907\pi$
$734$	−1244.29			−0.0625716
$735$	−16999.0	−	11497.6i	−0.853084	−	0.577001i
$736$	5160.25			0.258436
$737$	−633.460	+	587.765i	−0.0316605	+	0.0293767i
$738$	−481.428	+	72.5636i	−0.0240130	+	0.00361938i
$739$	−840.165	+	11211.2i	−0.0418213	+	0.558067i	0.936459	+	0.350778i	$0.114083\pi$
$739$	−840.165	+	11211.2i	−0.0418213	+	0.558067i	−0.978280	+	0.207289i	$0.933536\pi$
$740$	1554.81	−	3961.60i	0.0772380	−	0.196799i
$741$	5011.13	−	6283.76i	0.248432	−	0.311524i
$742$	2938.77	−	9590.34i	0.145398	−	0.474491i
$743$	−19128.7	−	23986.7i	−0.944503	−	1.18437i	−0.982720	−	0.185099i	$-0.940739\pi$
$743$	−19128.7	−	23986.7i	−0.944503	−	1.18437i	0.0382171	−	0.999269i	$-0.487832\pi$
$744$	7779.90	−	2399.78i	0.383367	−	0.118253i
$745$	12635.9	+	32195.8i	0.621402	+	1.58331i
$746$	−3519.11	−	1085.50i	−0.172713	−	0.0532749i
$747$	−35.0405	−	467.583i	−0.00171628	−	0.0229022i
$748$	816.151	+	3575.79i	0.0398949	+	0.174791i
$749$	26152.6	+	20776.8i	1.27583	+	1.01357i
$750$	3040.22	−	13320.1i	0.148017	−	0.648507i
$751$	9930.17	+	1496.73i	0.482500	+	0.0727251i	0.385788	−	0.922587i	$-0.373930\pi$
$751$	9930.17	+	1496.73i	0.482500	+	0.0727251i	0.0967113	+	0.995312i	$0.469168\pi$
$752$	−7219.91	+	4922.45i	−0.350111	+	0.238701i
$753$	8743.78	−	15144.7i	0.423162	−	0.732938i
$754$	−5017.27	−	8690.17i	−0.242332	−	0.419731i
$755$	32583.6	+	15691.4i	1.57065	+	0.756384i
$756$	5906.34	−	8697.61i	0.284142	−	0.418425i
$757$	5585.43	−	2689.80i	0.268171	−	0.129145i	−0.294966	−	0.955508i	$-0.595308\pi$
$757$	5585.43	−	2689.80i	0.268171	−	0.129145i	0.563138	+	0.826363i	$0.309594\pi$
$758$	19458.0	+	13266.3i	0.932385	+	0.635690i
$759$	−4009.56	−	3720.33i	−0.191750	−	0.177918i
$760$	2928.97	+	2717.69i	0.139796	+	0.129712i
$761$	−32069.7	−	21864.7i	−1.52763	−	1.04152i	−0.978614	−	0.205704i	$-0.934051\pi$
$761$	−32069.7	−	21864.7i	−1.52763	−	1.04152i	−0.549013	−	0.835814i	$-0.684996\pi$
$762$	17481.9	−	8418.84i	0.831106	−	0.400239i
$763$	3129.24	+	10078.4i	0.148475	+	0.478194i
$764$	−3013.28	−	1451.12i	−0.142692	−	0.0687168i
$765$	−520.671	−	901.828i	−0.0246077	−	0.0426218i
$766$	6976.07	−	12082.9i	0.329054	−	0.569939i
$767$	17252.6	−	11762.6i	0.812199	−	0.553748i
$768$	−1299.58	−	195.880i	−0.0610606	−	0.00920341i
$769$	−898.740	+	3937.64i	−0.0421449	+	0.184649i	−0.991619	−	0.129197i	$-0.958760\pi$
$769$	−898.740	+	3937.64i	−0.0421449	+	0.184649i	0.949474	+	0.313845i	$0.101617\pi$
$770$	−2226.57	+	1782.39i	−0.104208	+	0.0834195i
$771$	3863.48	+	16927.0i	0.180467	+	0.790676i
$772$	672.903	+	8979.27i	0.0313709	+	0.418615i
$773$	−10526.2	−	3246.91i	−0.489782	−	0.151078i	0.0400201	−	0.999199i	$-0.487258\pi$
$773$	−10526.2	−	3246.91i	−0.489782	−	0.151078i	−0.529803	+	0.848121i	$0.677734\pi$
$774$	99.0336	+	252.333i	0.00459908	+	0.0117183i
$775$	2050.39	−	632.460i	0.0950349	−	0.0293144i
$776$	−1589.39	−	1993.03i	−0.0735255	−	0.0921981i
$777$	5892.10	−	6373.83i	0.272043	−	0.294286i
$778$	−12922.1	+	16203.8i	−0.595475	+	0.746702i
$779$	5919.89	−	15083.6i	0.272275	−	0.693744i
$780$	−653.354	+	8718.41i	−0.0299921	+	0.400217i
$781$	−1113.37	+	167.814i	−0.0510111	+	0.00768869i
$782$	32811.3	−	30444.5i	1.50042	−	1.39219i
$783$	19491.4			0.889612
$784$	2726.36	−	4762.89i	0.124196	−	0.216968i
$785$	−12139.7			−0.551955
$786$	−5919.15	+	5492.17i	−0.268612	+	0.249236i
$787$	−19403.7	+	2924.63i	−0.878864	+	0.132467i	−0.572948	−	0.819591i	$-0.694200\pi$
$787$	−19403.7	+	2924.63i	−0.878864	+	0.132467i	−0.305915	+	0.952059i	$0.598962\pi$
$788$	1380.25	−	18418.1i	0.0623976	−	0.832638i
$789$	−12436.7	+	31688.3i	−0.561166	+	1.42983i
$790$	−2278.59	+	2857.26i	−0.102619	+	0.128680i
$791$	14811.4	−	5844.77i	0.665782	−	0.262726i
$792$	−21.2171	−	26.6054i	−0.000951916	−	0.00119366i
$793$	−9855.25	+	3039.94i	−0.441324	+	0.136131i
$794$	8534.45	+	21745.4i	0.381456	+	0.971935i
$795$	−15482.4	−	4775.70i	−0.690698	−	0.213052i
$796$	−1216.64	−	16234.9i	−0.0541742	−	0.722904i
$797$	−1008.36	−	4417.92i	−0.0448155	−	0.196350i	0.947564	−	0.319565i	$-0.103537\pi$
$797$	−1008.36	−	4417.92i	−0.0448155	−	0.196350i	−0.992380	+	0.123215i	$0.960680\pi$
$798$	3549.45	+	7335.69i	0.157455	+	0.325414i
$799$	−16866.2	+	73895.4i	−0.746785	+	3.27188i
$800$	−342.503	−	51.6241i	−0.0151367	−	0.00228148i
$801$	−274.970	+	187.471i	−0.0121293	+	0.00826963i
$802$	10915.8	−	18906.7i	0.480610	−	0.832442i
$803$	−2000.85	−	3465.58i	−0.0879309	−	0.152301i
$804$	−2419.89	−	1165.36i	−0.106148	−	0.0511180i
$805$	32423.7	+	12656.0i	1.41961	+	0.554119i
$806$	13049.2	−	6284.14i	0.570269	−	0.274627i
$807$	−13197.5	−	8997.92i	−0.575681	−	0.392493i
$808$	−1747.83	−	1621.75i	−0.0760994	−	0.0706100i
$809$	−6774.10	−	6285.44i	−0.294394	−	0.273158i	0.519122	−	0.854700i	$-0.326259\pi$
$809$	−6774.10	−	6285.44i	−0.294394	−	0.273158i	−0.813516	+	0.581542i	$0.802449\pi$
$810$	−13696.7	−	9338.28i	−0.594141	−	0.405079i
$811$	12291.0	−	5919.04i	0.532177	−	0.256283i	−0.148441	−	0.988921i	$-0.547426\pi$
$811$	12291.0	−	5919.04i	0.532177	−	0.256283i	0.680618	+	0.732638i	$0.261711\pi$
$812$	10144.6	−	779.148i	0.438430	−	0.0336733i
$813$	21965.9	+	10578.2i	0.947574	+	0.456328i
$814$	−603.160	−	1044.70i	−0.0259714	−	0.0449838i
$815$	14703.7	−	25467.5i	0.631959	−	1.09458i
$816$	−9419.01	+	6421.77i	−0.404083	+	0.275499i
$817$	−8920.96	−	1344.62i	−0.382013	−	0.0575792i
$818$	−6553.28	+	28711.8i	−0.280110	+	1.22724i
$819$	188.267	−	392.802i	0.00803245	−	0.0167590i
$820$	3922.23	+	17184.4i	0.167037	+	0.731835i
$821$	−1507.54	−	20116.7i	−0.0640847	−	0.855151i	−0.932928	−	0.360063i	$-0.882755\pi$
$821$	−1507.54	−	20116.7i	−0.0640847	−	0.855151i	0.868843	−	0.495087i	$-0.164864\pi$
$822$	−27595.4	−	8512.04i	−1.17092	−	0.361182i
$823$	−11422.6	−	29104.2i	−0.483798	−	1.23270i	−0.939495	−	0.342562i	$-0.888705\pi$
$823$	−11422.6	−	29104.2i	−0.483798	−	1.23270i	0.455697	−	0.890135i	$-0.349390\pi$
$824$	−3444.74	+	1062.56i	−0.145635	+	0.0449224i
$825$	228.910	+	287.044i	0.00966014	+	0.0121134i
$826$	3194.34	+	20929.7i	0.134559	+	0.881643i
$827$	2538.60	−	3183.31i	0.106742	−	0.133851i	−0.725591	−	0.688127i	$-0.758433\pi$
$827$	2538.60	−	3183.31i	0.106742	−	0.133851i	0.832333	+	0.554276i	$0.187005\pi$
$828$	−151.721	+	386.578i	−0.00636795	+	0.0162253i
$829$	−1012.36	+	13509.0i	−0.0424133	+	0.565967i	0.935002	+	0.354641i	$0.115397\pi$
$829$	−1012.36	+	13509.0i	−0.0424133	+	0.565967i	−0.977416	+	0.211325i	$0.932222\pi$
$830$	−16786.1	+	2530.09i	−0.701992	+	0.105808i
$831$	−28754.2	+	26680.0i	−1.20033	+	1.11374i
$832$	−2337.99			−0.0974223
$833$	−10764.6	−	46369.7i	−0.447747	−	1.92871i
$834$	−20142.0			−0.836284
$835$	7220.95	−	6700.06i	0.299271	−	0.277683i
$836$	1119.91	−	168.800i	0.0463313	−	0.00698333i
$837$	−2102.39	+	28054.5i	−0.0868212	+	1.15855i
$838$	−8156.69	+	20782.9i	−0.336239	+	0.856723i
$839$	28790.6	−	36102.3i	1.18470	−	1.48556i	0.348352	−	0.937364i	$-0.386741\pi$
$839$	28790.6	−	36102.3i	1.18470	−	1.48556i	0.836346	−	0.548201i	$-0.184687\pi$
$840$	−7685.31	−	4418.14i	−0.315677	−	0.181476i
$841$	−3445.47	−	4320.49i	−0.141272	−	0.177149i
$842$	−11663.3	+	3597.65i	−0.477367	+	0.147248i
$843$	15004.4	+	38230.6i	0.613023	+	1.56196i
$844$	4554.55	+	1404.89i	0.185751	+	0.0572966i
$845$	−751.156	−	10023.5i	−0.0305805	−	0.408069i
$846$	−156.485	−	685.607i	−0.00635943	−	0.0278625i
$847$	−44.2048	−	23842.0i	−0.00179326	−	0.967202i
$848$	964.132	−	4224.14i	0.0390429	−	0.171058i
$849$	−34112.2	−	5141.59i	−1.37895	−	0.207843i
$850$	−2482.37	+	1692.45i	−0.100170	+	0.0682949i
$851$	−7360.75	+	12749.2i	−0.296502	+	0.513557i
$852$	−1749.81	−	3030.75i	−0.0703607	−	0.121868i
$853$	17286.5	+	8324.74i	0.693878	+	0.334154i	0.747364	−	0.664414i	$-0.231319\pi$
$853$	17286.5	+	8324.74i	0.693878	+	0.334154i	−0.0534860	+	0.998569i	$0.517033\pi$
$854$	1539.40	−	10343.3i	0.0616828	−	0.414451i
$855$	−289.712	+	139.518i	−0.0115882	+	0.00558059i
$856$	11920.9	+	8127.54i	0.475991	+	0.324525i
$857$	1698.63	+	1576.09i	0.0677059	+	0.0628219i	0.713300	−	0.700859i	$-0.247200\pi$
$857$	1698.63	+	1576.09i	0.0677059	+	0.0628219i	−0.645594	+	0.763681i	$0.723390\pi$
$858$	1816.65	+	1685.60i	0.0722835	+	0.0670693i
$859$	−29898.8	−	20384.7i	−1.18758	−	0.809681i	−0.202086	−	0.979368i	$-0.564772\pi$
$859$	−29898.8	−	20384.7i	−1.18758	−	0.809681i	−0.985498	+	0.169687i	$0.945724\pi$
$860$	8841.91	−	4258.04i	0.350589	−	0.168835i
$861$	−5292.18	+	35558.6i	−0.209474	+	1.40747i
$862$	4445.26	+	2140.73i	0.175645	+	0.0845863i
$863$	20769.3	+	35973.5i	0.819231	+	1.41895i	0.906250	+	0.422743i	$0.138933\pi$
$863$	20769.3	+	35973.5i	0.819231	+	1.41895i	−0.0870184	+	0.996207i	$0.527734\pi$
$864$	2270.70	−	3932.96i	0.0894105	−	0.154864i
$865$	−6942.67	+	4733.43i	−0.272899	+	0.186060i
$866$	−7627.12	−	1149.60i	−0.299284	−	0.0451098i
$867$	−16390.8	+	71813.0i	−0.642056	+	2.81303i
$868$	27.2278	+	14685.4i	0.00106471	+	0.574256i
$869$	230.510	+	1009.93i	0.00899830	+	0.0394241i
$870$	−1228.17	−	16388.8i	−0.0478609	−	0.638659i
$871$	−4565.74	−	1408.34i	−0.177617	−	0.0547875i
$872$	1665.40	+	4243.36i	0.0646759	+	0.164792i
$873$	196.038	−	60.4699i	0.00760011	−	0.00234432i
$874$	−8617.50	−	10806.0i	−0.333514	−	0.418213i
$875$	21365.1	+	12282.4i	0.825453	+	0.474537i
$876$	7754.87	−	9724.30i	0.299101	−	0.375061i
$877$	−18281.3	+	46580.1i	−0.703897	+	1.79350i	−0.102216	+	0.994762i	$0.532593\pi$
$877$	−18281.3	+	46580.1i	−0.703897	+	1.79350i	−0.601680	+	0.798737i	$0.705502\pi$
$878$	−529.380	+	7064.08i	−0.0203482	+	0.271528i
$879$	18344.8	−	2765.04i	0.703931	−	0.106101i
$880$	−903.117	+	837.970i	−0.0345955	+	0.0321000i
$881$	−20825.7			−0.796409			−0.398205	−	0.917297i	$-0.630367\pi$
$881$	−20825.7			−0.796409			−0.398205	+	0.917297i	$0.630367\pi$
$882$	276.650	+	344.282i	0.0105616	+	0.0131435i
$883$	−23194.9			−0.884000			−0.442000	−	0.897015i	$-0.645731\pi$
$883$	−23194.9			−0.884000			−0.442000	+	0.897015i	$0.645731\pi$
$884$	−14866.1	+	13793.7i	−0.565612	+	0.524811i
$885$	33817.2	−	5097.12i	1.28447	−	0.193602i
$886$	101.469	−	1354.01i	0.00384755	−	0.0513419i
$887$	−1302.19	+	3317.93i	−0.0492935	+	0.125598i	−0.953400	−	0.301710i	$-0.902443\pi$
$887$	−1302.19	+	3317.93i	−0.0492935	+	0.125598i	0.904106	+	0.427308i	$0.140538\pi$
$888$	2337.72	−	2931.41i	0.0883431	−	0.110779i
$889$	5280.48	+	34598.3i	0.199214	+	1.30528i
$890$	7512.10	+	9419.87i	0.282928	+	0.354781i
$891$	−4490.12	+	1385.02i	−0.168827	+	0.0520761i
$892$	122.380	+	311.818i	0.00459369	+	0.0117045i
$893$	22365.2	+	6898.74i	0.838098	+	0.258519i
$894$	2277.13	+	30386.1i	0.0851885	+	1.13676i
$895$	316.784	+	1387.92i	0.0118312	+	0.0518359i
$896$	1024.60	−	2137.73i	0.0382026	−	0.0797061i
$897$	6729.71	−	29484.8i	0.250500	−	1.09751i
$898$	−574.455	−	86.5851i	−0.0213472	−	0.00321758i
$899$	−22495.1	+	15336.9i	−0.834544	+	0.568982i
$900$	13.9376	−	24.1407i	0.000516209	−	0.000894100i
$901$	−18791.2	−	32547.3i	−0.694811	−	1.20345i
$902$	4501.46	+	2167.79i	0.166167	+	0.0800217i
$903$	19957.2	−	1532.80i	0.735474	−	0.0564876i
$904$	6196.92	−	2984.28i	0.227994	−	0.109796i
$905$	4318.65	+	2944.40i	0.158626	+	0.108150i
$906$	23356.5	+	21671.6i	0.856475	+	0.794693i
$907$	−19261.7	−	17872.2i	−0.705152	−	0.654286i	0.243757	−	0.969836i	$-0.421620\pi$
$907$	−19261.7	−	17872.2i	−0.705152	−	0.654286i	−0.948909	+	0.315551i	$0.897811\pi$
$908$	19167.5	+	13068.2i	0.700545	+	0.477624i
$909$	172.882	−	83.2556i	0.00630818	−	0.00303786i
$910$	−14690.4	−	5734.17i	−0.535147	−	0.208885i
$911$	−2209.16	−	1063.88i	−0.0803433	−	0.0386913i	0.393281	−	0.919418i	$-0.371340\pi$
$911$	−2209.16	−	1063.88i	−0.0803433	−	0.0386913i	−0.473624	+	0.880727i	$0.657054\pi$
$912$	1760.08	+	3048.55i	0.0639058	+	0.110688i
$913$	−2405.91	+	4167.16i	−0.0872114	+	0.151055i
$914$	−2338.22	+	1594.17i	−0.0846187	+	0.0576921i
$915$	−16702.9	−	2517.56i	−0.603476	−	0.0909594i
$916$	−2706.31	+	11857.1i	−0.0976189	+	0.427696i
$917$	−6343.69	−	13110.6i	−0.228448	−	0.472137i
$918$	−8765.54	−	38404.4i	−0.315148	−	1.38075i
$919$	577.929	+	7711.93i	0.0207444	+	0.276815i	0.997924	+	0.0644008i	$0.0205136\pi$
$919$	577.929	+	7711.93i	0.0207444	+	0.276815i	−0.977180	+	0.212414i	$0.931867\pi$
$920$	14366.9	+	4431.60i	0.514850	+	0.158810i
$921$	−9311.01	−	23724.1i	−0.333125	−	0.848789i
$922$	−37385.5	+	11531.9i	−1.33538	+	0.411912i
$923$	−3881.61	−	4867.38i	−0.138423	−	0.173577i
$924$	−2337.35	+	922.345i	−0.0832176	+	0.0328387i
$925$	616.104	−	772.570i	0.0218999	−	0.0274616i
$926$	−900.715	+	2294.98i	−0.0319647	+	0.0814447i
$927$	21.6802	−	289.303i	0.000768147	−	0.0102502i
$928$	4345.86	−	655.034i	0.153728	−	0.0231708i
$929$	−9619.78	+	8925.85i	−0.339736	+	0.315229i	−0.831527	−	0.555484i	$-0.812533\pi$
$929$	−9619.78	+	8925.85i	−0.339736	+	0.315229i	0.491791	+	0.870713i	$0.336342\pi$
$930$	23721.3			0.836400
$931$	−14526.9	+	2244.70i	−0.511384	+	0.0790192i
$932$	17149.0			0.602719
$933$	−18716.7	+	17366.6i	−0.656760	+	0.609384i
$934$	13513.4	−	2036.82i	0.473417	−	0.0713562i
$935$	−798.589	+	10656.4i	−0.0279323	+	0.372730i
$936$	68.7414	−	175.150i	0.00240051	−	0.00611641i
$937$	−18434.1	+	23115.7i	−0.642708	+	0.805930i	−0.991339	−	0.131330i	$-0.958075\pi$
$937$	−18434.1	+	23115.7i	−0.642708	+	0.805930i	0.348631	+	0.937260i	$0.386647\pi$
$938$	3288.60	−	3557.47i	0.114474	−	0.123833i
$939$	−1102.40	−	1382.37i	−0.0383126	−	0.0480424i
$940$	−24328.7	+	7504.41i	−0.844164	+	0.260390i
$941$	−10540.0	−	26855.5i	−0.365138	−	0.930356i	−0.988879	−	0.148725i	$-0.952483\pi$
$941$	−10540.0	−	26855.5i	−0.365138	−	0.930356i	0.623741	−	0.781631i	$-0.285612\pi$
$942$	−10220.1	−	3152.48i	−0.353491	−	0.109037i
$943$	−4556.48	−	60802.0i	−0.157348	−	2.09967i
$944$	2035.06	+	8916.18i	0.0701648	+	0.307412i
$945$	23913.6	−	19143.1i	0.823184	−	0.658968i
$946$	618.999	−	2712.01i	0.0212742	−	0.0932083i
$947$	17281.1	+	2604.70i	0.592987	+	0.0893785i	0.438678	−	0.898644i	$-0.355447\pi$
$947$	17281.1	+	2604.70i	0.592987	+	0.0893785i	0.154309	+	0.988023i	$0.450685\pi$
$948$	−2660.27	+	1813.74i	−0.0911408	+	0.0621388i
$949$	11063.1	−	19161.9i	0.378424	−	0.655449i
$950$	463.868	+	803.443i	0.0158420	+	0.0274391i
$951$	−4894.03	−	2356.84i	−0.166877	−	0.0803636i
$952$	−6097.32	−	19637.7i	−0.207579	−	0.668552i
$953$	22865.0	−	11011.2i	0.777198	−	0.374279i	−0.00285182	−	0.999996i	$-0.500908\pi$
$953$	22865.0	−	11011.2i	0.777198	−	0.374279i	0.780050	+	0.625717i	$0.215193\pi$
$954$	288.103	+	196.425i	0.00977743	+	0.00666614i
$955$	−7143.20	−	6627.92i	−0.242040	−	0.224581i
$956$	−5527.36	−	5128.64i	−0.186996	−	0.173507i
$957$	−3849.03	−	2624.23i	−0.130012	−	0.0886407i
$958$	211.045	−	101.634i	0.00711750	−	0.00342761i
$959$	29263.1	−	43092.5i	0.985353	−	1.45102i
$960$	−3450.00	−	1661.43i	−0.115988	−	0.0558568i
$961$	−4752.93	−	8232.32i	−0.159542	−	0.276336i
$962$	3335.00	−	5776.38i	0.111772	−	0.193595i
$963$	−959.369	+	654.086i	−0.0321030	+	0.0218875i
$964$	14358.4	+	2164.18i	0.479722	+	0.0723065i
$965$	−5837.90	+	25577.5i	−0.194745	+	0.853232i
$966$	24010.0	+	19074.6i	0.799700	+	0.635317i
$967$	5105.21	+	22367.4i	0.169775	+	0.743833i	0.986088	+	0.166224i	$0.0531573\pi$
$967$	5105.21	+	22367.4i	0.169775	+	0.743833i	−0.816313	+	0.577610i	$0.803986\pi$
$968$	−769.629	−	10270.0i	−0.0255546	−	0.341002i
$969$	29177.3	+	9000.01i	0.967296	+	0.298371i
$970$	−2713.49	−	6913.86i	−0.0898195	−	0.228856i
$971$	38345.4	−	11828.0i	1.26732	−	0.390915i	0.413029	−	0.910718i	$-0.364471\pi$
$971$	38345.4	−	11828.0i	1.26732	−	0.390915i	0.854286	+	0.519803i	$0.173995\pi$
$972$	450.441	+	564.835i	0.0148641	+	0.0186390i
$973$	10644.4	−	34736.8i	0.350713	−	1.14451i
$974$	10050.5	−	12603.0i	0.330637	−	0.414606i
$975$	−741.645	+	1889.68i	−0.0243607	+	0.0620700i
$976$	337.564	−	4504.48i	0.0110709	−	0.147730i
$977$	2955.08	−	445.407i	0.0967670	−	0.0145853i	−0.100480	−	0.994939i	$-0.532038\pi$
$977$	2955.08	−	445.407i	0.0967670	−	0.0145853i	0.197247	+	0.980354i	$0.436800\pi$
$978$	18992.1	−	17622.1i	0.620961	−	0.576168i
$979$	3415.19			0.111491
$980$	11680.9	−	10919.2i	0.380749	−	0.355920i
$981$	−366.855			−0.0119396
$982$	−23084.6	+	21419.4i	−0.750162	+	0.696049i
$983$	−15675.7	+	2362.72i	−0.508622	+	0.0766625i	−0.398340	−	0.917238i	$-0.630414\pi$
$983$	−15675.7	+	2362.72i	−0.508622	+	0.0766625i	−0.110282	+	0.993900i	$0.535175\pi$
$984$	−1160.49	+	15485.6i	−0.0375965	+	0.501690i
$985$	19660.2	−	50093.5i	0.635967	−	1.62042i
$986$	23768.5	−	29804.8i	0.767692	−	0.962655i
$987$	−51789.1	−	3784.51i	−1.67018	−	0.122049i
$988$	3904.40	+	4895.96i	0.125724	+	0.157653i
$989$	−32439.4	+	10006.2i	−1.04298	+	0.321718i
$990$	−36.2229	−	92.2946i	−0.00116287	−	0.00296294i
$991$	21764.2	+	6713.35i	0.697640	+	0.215193i	0.623235	−	0.782035i	$-0.285818\pi$
$991$	21764.2	+	6713.35i	0.697640	+	0.215193i	0.0744050	+	0.997228i	$0.476294\pi$
$992$	474.050	+	6325.76i	0.0151725	+	0.202463i
$993$	−2390.26	−	10472.4i	−0.0763872	−	0.334674i
$994$	6151.54	−	1416.05i	0.196293	−	0.0451856i
$995$	10555.2	−	46245.3i	0.336303	−	1.47344i
$996$	−14788.8	−	2229.05i	−0.470482	−	0.0709137i
$997$	28998.7	−	19771.0i	0.921160	−	0.628037i	−0.00709706	−	0.999975i	$-0.502259\pi$
$997$	28998.7	−	19771.0i	0.921160	−	0.628037i	0.928257	+	0.371938i	$0.121307\pi$
$998$	−740.337	+	1282.30i	−0.0234819	+	0.0406719i
$999$	6478.00	+	11220.2i	0.205160	+	0.355348i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	98.4.g.b.11.2	yes	84
49.9	even	21	inner	98.4.g.b.9.2	✓	84

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
98.4.g.b.9.2	✓	84	49.9	even	21	inner
98.4.g.b.11.2	yes	84	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 98 = 2 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	98.g (of order \(21\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.46610 + 1.36035i) q^{2} +(-5.07649 + 0.765157i) q^{3} +(0.298920 - 3.98882i) q^{4} +(4.25782 - 10.8487i) q^{5} +(6.40178 - 8.02757i) q^{6} +(10.4612 + 15.2828i) q^{7} +(4.98792 + 6.25465i) q^{8} +(-0.615219 + 0.189770i) q^{9} +O(q^{10})\)	\(q+(-1.46610 + 1.36035i) q^{2} +(-5.07649 + 0.765157i) q^{3} +(0.298920 - 3.98882i) q^{4} +(4.25782 - 10.8487i) q^{5} +(6.40178 - 8.02757i) q^{6} +(10.4612 + 15.2828i) q^{7} +(4.98792 + 6.25465i) q^{8} +(-0.615219 + 0.189770i) q^{9} +(8.51563 + 21.6975i) q^{10} +(6.31342 + 1.94743i) q^{11} +(1.53461 + 20.4779i) q^{12} +(8.12895 + 35.6153i) q^{13} +(-36.1271 - 8.17532i) q^{14} +(-13.3138 + 58.3314i) q^{15} +(-15.8213 - 2.38468i) q^{16} +(-114.669 + 78.1797i) q^{17} +(0.643822 - 1.11513i) q^{18} +(21.4275 + 37.1135i) q^{19} +(-42.0009 - 20.2266i) q^{20} +(-64.7998 - 69.5784i) q^{21} +(-11.9053 + 5.73329i) q^{22} +(133.237 + 90.8397i) q^{23} +(-30.1069 - 27.9351i) q^{24} +(-7.93465 - 7.36228i) q^{25} +(-60.3669 - 41.1575i) q^{26} +(127.864 - 61.5762i) q^{27} +(64.0873 - 37.1594i) q^{28} +(123.741 + 59.5906i) q^{29} +(-59.8315 - 103.631i) q^{30} +(-99.1172 + 171.676i) q^{31} +(26.4396 - 18.0262i) q^{32} +(-33.5401 - 5.05535i) q^{33} +(61.7646 - 270.608i) q^{34} +(210.341 - 48.4194i) q^{35} +(0.573056 + 2.51072i) q^{36} +(6.82224 + 91.0365i) q^{37} +(-81.9022 - 25.2635i) q^{38} +(-68.5178 - 174.580i) q^{39} +(89.0927 - 27.4815i) q^{40} +(-235.745 - 295.615i) q^{41} +(189.654 + 13.8590i) q^{42} +(-131.255 + 164.589i) q^{43} +(9.65515 - 24.6009i) q^{44} +(-0.560725 + 7.48236i) q^{45} +(-318.913 + 48.0684i) q^{46} +(400.351 - 371.472i) q^{47} +82.1412 q^{48} +(-124.127 + 319.752i) q^{49} +21.6483 q^{50} +(522.293 - 484.617i) q^{51} +(144.493 - 21.7788i) q^{52} +(-20.2368 + 270.041i) q^{53} +(-103.697 + 264.217i) q^{54} +(48.0086 - 60.2008i) q^{55} +(-43.4090 + 141.660i) q^{56} +(-137.174 - 172.011i) q^{57} +(-262.481 + 80.9647i) q^{58} +(-208.826 - 532.080i) q^{59} +(228.693 + 70.5425i) q^{60} +(21.0977 + 281.530i) q^{61} +(-88.2226 - 386.528i) q^{62} +(-9.33614 - 7.41704i) q^{63} +(-14.2413 + 62.3954i) q^{64} +(420.992 + 63.4544i) q^{65} +(56.0503 - 38.2144i) q^{66} +(-65.3964 + 113.270i) q^{67} +(277.568 + 480.761i) q^{68} +(-745.884 - 359.199i) q^{69} +(-242.514 + 357.124i) q^{70} +(-153.542 + 73.9421i) q^{71} +(-4.25561 - 2.90142i) q^{72} +(-443.996 - 411.968i) q^{73} +(-133.843 - 124.188i) q^{74} +(45.9134 + 31.3032i) q^{75} +(154.444 - 74.3764i) q^{76} +(36.2837 + 116.859i) q^{77} +(337.944 + 162.745i) q^{78} +(78.3950 + 135.784i) q^{79} +(-93.2349 + 161.488i) q^{80} +(-587.623 + 400.635i) q^{81} +(747.765 + 112.707i) q^{82} +(-162.061 + 710.037i) q^{83} +(-296.905 + 237.676i) q^{84} +(359.913 + 1576.88i) q^{85} +(-31.4640 - 419.858i) q^{86} +(-673.766 - 207.829i) q^{87} +(19.3103 + 49.2019i) q^{88} +(493.944 - 152.361i) q^{89} +(-9.35651 - 11.7327i) q^{90} +(-459.262 + 496.811i) q^{91} +(402.170 - 504.305i) q^{92} +(371.808 - 947.351i) q^{93} +(-81.6267 + 1089.23i) q^{94} +(493.869 - 74.4388i) q^{95} +(-120.428 + 111.740i) q^{96} -318.648 q^{97} +(-252.990 - 637.646i) q^{98} -4.25370 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 84 q + 14 q^{2} + 2 q^{3} + 28 q^{4} - 9 q^{5} + 34 q^{6} + 28 q^{7} - 112 q^{8} - 175 q^{9}+O(q^{10}) \) 84 * q + 14 * q^2 + 2 * q^3 + 28 * q^4 - 9 * q^5 + 34 * q^6 + 28 * q^7 - 112 * q^8 - 175 * q^9	\( 84 q + 14 q^{2} + 2 q^{3} + 28 q^{4} - 9 q^{5} + 34 q^{6} + 28 q^{7} - 112 q^{8} - 175 q^{9} - 18 q^{10} - 133 q^{11} - 20 q^{12} + 70 q^{13} - 70 q^{14} - 161 q^{15} + 112 q^{16} - 173 q^{17} - 742 q^{18} + 383 q^{19} + 184 q^{20} - 392 q^{21} - 154 q^{22} + 357 q^{23} - 40 q^{24} + 154 q^{25} - 406 q^{26} + 746 q^{27} - 252 q^{28} - 161 q^{29} + 14 q^{30} + 891 q^{31} + 224 q^{32} - 625 q^{33} - 190 q^{34} + 784 q^{35} - 364 q^{36} + 3668 q^{37} - 1068 q^{38} + 1239 q^{39} + 264 q^{40} + 308 q^{41} + 1162 q^{42} + 490 q^{43} - 728 q^{44} - 1830 q^{45} - 1638 q^{46} - 730 q^{47} - 1184 q^{48} - 2562 q^{49} + 4284 q^{50} - 2513 q^{51} - 1232 q^{52} - 1218 q^{53} - 1390 q^{54} - 935 q^{55} + 504 q^{56} - 2562 q^{57} + 896 q^{58} + 1360 q^{59} + 1204 q^{60} + 4478 q^{61} + 2400 q^{62} + 2723 q^{63} - 896 q^{64} + 434 q^{65} + 2264 q^{66} - 1505 q^{67} + 1268 q^{68} + 3427 q^{69} - 1470 q^{70} - 4697 q^{71} + 560 q^{72} + 681 q^{73} - 1876 q^{74} - 1544 q^{75} - 40 q^{76} - 4137 q^{77} + 1120 q^{78} + 1687 q^{79} + 976 q^{80} + 2310 q^{81} - 308 q^{82} + 7441 q^{83} + 364 q^{84} + 1267 q^{85} + 2254 q^{86} - 12015 q^{87} - 1456 q^{88} - 3593 q^{89} - 3558 q^{90} - 1981 q^{91} + 1260 q^{92} - 6370 q^{93} + 3132 q^{94} + 2247 q^{95} - 160 q^{96} - 18662 q^{97} - 4550 q^{98} + 14966 q^{99}+O(q^{100}) \) 84 * q + 14 * q^2 + 2 * q^3 + 28 * q^4 - 9 * q^5 + 34 * q^6 + 28 * q^7 - 112 * q^8 - 175 * q^9 - 18 * q^10 - 133 * q^11 - 20 * q^12 + 70 * q^13 - 70 * q^14 - 161 * q^15 + 112 * q^16 - 173 * q^17 - 742 * q^18 + 383 * q^19 + 184 * q^20 - 392 * q^21 - 154 * q^22 + 357 * q^23 - 40 * q^24 + 154 * q^25 - 406 * q^26 + 746 * q^27 - 252 * q^28 - 161 * q^29 + 14 * q^30 + 891 * q^31 + 224 * q^32 - 625 * q^33 - 190 * q^34 + 784 * q^35 - 364 * q^36 + 3668 * q^37 - 1068 * q^38 + 1239 * q^39 + 264 * q^40 + 308 * q^41 + 1162 * q^42 + 490 * q^43 - 728 * q^44 - 1830 * q^45 - 1638 * q^46 - 730 * q^47 - 1184 * q^48 - 2562 * q^49 + 4284 * q^50 - 2513 * q^51 - 1232 * q^52 - 1218 * q^53 - 1390 * q^54 - 935 * q^55 + 504 * q^56 - 2562 * q^57 + 896 * q^58 + 1360 * q^59 + 1204 * q^60 + 4478 * q^61 + 2400 * q^62 + 2723 * q^63 - 896 * q^64 + 434 * q^65 + 2264 * q^66 - 1505 * q^67 + 1268 * q^68 + 3427 * q^69 - 1470 * q^70 - 4697 * q^71 + 560 * q^72 + 681 * q^73 - 1876 * q^74 - 1544 * q^75 - 40 * q^76 - 4137 * q^77 + 1120 * q^78 + 1687 * q^79 + 976 * q^80 + 2310 * q^81 - 308 * q^82 + 7441 * q^83 + 364 * q^84 + 1267 * q^85 + 2254 * q^86 - 12015 * q^87 - 1456 * q^88 - 3593 * q^89 - 3558 * q^90 - 1981 * q^91 + 1260 * q^92 - 6370 * q^93 + 3132 * q^94 + 2247 * q^95 - 160 * q^96 - 18662 * q^97 - 4550 * q^98 + 14966 * q^99

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