LMFDB - Embedded newform 49.4.e.a.43.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [49,4,Mod(8,49)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(49, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([12]))

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

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

chi := DirichletCharacter("49.8");

S:= CuspForms(chi, 4);

N := Newforms(S);

Level:	$ N $	$=$	$ 49 = 7^{2} $
Weight:	$ k $	$=$	$ 4 $
Character orbit:	$[\chi]$	$=$	49.e (of order $7$, degree $6$, 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:	$2.89109359028$
Analytic rank:	$0$
Dimension:	$78$
Relative dimension:	$13$ over $\Q(\zeta_{7})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			43.2
Character	$\chi$	$=$	49.43
Dual form			49.4.e.a.8.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-2.77071 + 3.47436i) q^{2} +(-6.15987 - 2.96643i) q^{3} +(-2.61419 - 11.4535i) q^{4} +(1.98451 + 0.955692i) q^{5} +(27.3737 - 13.1825i) q^{6} +(18.5202 + 0.0393741i) q^{7} +(15.0065 + 7.22673i) q^{8} +(12.3100 + 15.4362i) q^{9} +O(q^{10})$	\(q+(-2.77071 + 3.47436i) q^{2} +(-6.15987 - 2.96643i) q^{3} +(-2.61419 - 11.4535i) q^{4} +(1.98451 + 0.955692i) q^{5} +(27.3737 - 13.1825i) q^{6} +(18.5202 + 0.0393741i) q^{7} +(15.0065 + 7.22673i) q^{8} +(12.3100 + 15.4362i) q^{9} +(-8.81894 + 4.24698i) q^{10} +(-2.32728 + 2.91832i) q^{11} +(-17.8730 + 78.3069i) q^{12} +(55.9871 - 70.2055i) q^{13} +(-51.4510 + 64.2369i) q^{14} +(-9.38934 - 11.7739i) q^{15} +(17.9902 - 8.66363i) q^{16} +(12.4417 - 54.5106i) q^{17} -87.7385 q^{18} -27.6480 q^{19} +(5.75813 - 25.2280i) q^{20} +(-113.965 - 55.1816i) q^{21} +(-3.69107 - 16.1716i) q^{22} +(-12.4090 - 54.3675i) q^{23} +(-71.0001 - 89.0313i) q^{24} +(-74.9113 - 93.9358i) q^{25} +(88.7956 + 389.039i) q^{26} +(11.0395 + 48.3672i) q^{27} +(-47.9644 - 212.224i) q^{28} +(-22.1528 + 97.0578i) q^{29} +66.9219 q^{30} +99.2310 q^{31} +(-49.3954 + 216.415i) q^{32} +(22.9927 - 11.0727i) q^{33} +(154.917 + 194.260i) q^{34} +(36.7160 + 17.7778i) q^{35} +(144.618 - 181.346i) q^{36} +(79.7800 - 349.539i) q^{37} +(76.6048 - 96.0594i) q^{38} +(-553.133 + 266.375i) q^{39} +(22.8740 + 28.6831i) q^{40} +(300.534 + 144.730i) q^{41} +(507.486 - 243.065i) q^{42} +(-383.629 + 184.746i) q^{43} +(39.5089 + 19.0265i) q^{44} +(9.67706 + 42.3980i) q^{45} +(223.274 + 107.523i) q^{46} +(301.391 - 377.932i) q^{47} -136.517 q^{48} +(342.997 + 1.45843i) q^{49} +533.925 q^{50} +(-238.341 + 298.870i) q^{51} +(-950.461 - 457.718i) q^{52} +(-90.7653 - 397.669i) q^{53} +(-198.632 - 95.6563i) q^{54} +(-7.40754 + 3.56728i) q^{55} +(277.638 + 134.431i) q^{56} +(170.308 + 82.0161i) q^{57} +(-275.835 - 345.886i) q^{58} +(-515.719 + 248.357i) q^{59} +(-110.307 + 138.320i) q^{60} +(34.2558 - 150.085i) q^{61} +(-274.941 + 344.765i) q^{62} +(227.376 + 286.367i) q^{63} +(-515.449 - 646.352i) q^{64} +(178.202 - 85.8176i) q^{65} +(-25.2356 + 110.564i) q^{66} +370.306 q^{67} -656.862 q^{68} +(-84.8397 + 371.707i) q^{69} +(-163.496 + 78.3077i) q^{70} +(86.0611 + 377.058i) q^{71} +(73.1757 + 320.604i) q^{72} +(422.856 + 530.245i) q^{73} +(993.378 + 1245.66i) q^{74} +(182.789 + 800.851i) q^{75} +(72.2772 + 316.667i) q^{76} +(-43.2167 + 53.9563i) q^{77} +(607.090 - 2659.83i) q^{78} -677.093 q^{79} +43.9816 q^{80} +(194.098 - 850.397i) q^{81} +(-1335.54 + 643.160i) q^{82} +(-494.014 - 619.474i) q^{83} +(-334.096 + 1449.56i) q^{84} +(76.7860 - 96.2866i) q^{85} +(421.051 - 1844.75i) q^{86} +(424.374 - 532.148i) q^{87} +(-56.0141 + 26.9750i) q^{88} +(-80.1989 - 100.566i) q^{89} +(-174.118 - 83.8510i) q^{90} +(1039.66 - 1298.02i) q^{91} +(-590.259 + 284.254i) q^{92} +(-611.249 - 294.362i) q^{93} +(478.006 + 2094.28i) q^{94} +(-54.8679 - 26.4230i) q^{95} +(946.251 - 1186.56i) q^{96} +430.011 q^{97} +(-955.413 + 1187.66i) q^{98} -73.6966 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 78 q - 5 q^{2} - 5 q^{3} - 53 q^{4} - 23 q^{5} + 19 q^{6} - 31 q^{8} - 174 q^{9}+O(q^{10}) $ 78 * q - 5 * q^2 - 5 * q^3 - 53 * q^4 - 23 * q^5 + 19 * q^6 - 31 * q^8 - 174 * q^9	\( 78 q - 5 q^{2} - 5 q^{3} - 53 q^{4} - 23 q^{5} + 19 q^{6} - 31 q^{8} - 174 q^{9} + 9 q^{10} - 103 q^{11} + 364 q^{12} - 35 q^{13} + 161 q^{14} - 245 q^{15} - 205 q^{16} - 285 q^{17} + 16 q^{18} + 628 q^{19} + 553 q^{20} - 21 q^{21} - 605 q^{22} + 149 q^{23} + 653 q^{24} - 370 q^{25} - 511 q^{26} - 65 q^{27} + 70 q^{28} - 187 q^{29} + 84 q^{30} + 1276 q^{31} + 1399 q^{32} - 23 q^{33} - 765 q^{34} - 805 q^{35} - 1691 q^{36} - 1531 q^{37} - 1041 q^{38} - 1351 q^{39} - 1759 q^{40} - 301 q^{41} + 3395 q^{42} - 257 q^{43} - 883 q^{44} + 3105 q^{45} + 1593 q^{46} + 733 q^{47} - 1948 q^{48} + 1288 q^{49} + 6148 q^{50} + 1197 q^{51} - 1099 q^{52} - 285 q^{53} + 660 q^{54} + 2641 q^{55} - 1988 q^{56} - 2352 q^{57} + 1173 q^{58} - 3603 q^{59} - 175 q^{60} - 2613 q^{61} - 1927 q^{62} - 3066 q^{63} + 1589 q^{64} - 371 q^{65} - 2175 q^{66} + 352 q^{67} + 6076 q^{68} + 5549 q^{69} - 6293 q^{70} - 2623 q^{71} + 6220 q^{72} + 2039 q^{73} - 2411 q^{74} - 3903 q^{75} + 4130 q^{76} + 1029 q^{77} - 3759 q^{78} + 44 q^{79} - 1608 q^{80} + 1394 q^{81} - 10920 q^{82} - 553 q^{83} - 7798 q^{84} + 497 q^{85} - 2985 q^{86} - 4273 q^{87} - 2197 q^{88} - 3957 q^{89} - 2958 q^{90} + 14119 q^{91} - 9136 q^{92} + 6272 q^{93} + 14912 q^{94} + 5866 q^{95} + 21882 q^{96} - 1540 q^{97} - 2303 q^{98} + 10768 q^{99}+O(q^{100}) \) 78 * q - 5 * q^2 - 5 * q^3 - 53 * q^4 - 23 * q^5 + 19 * q^6 - 31 * q^8 - 174 * q^9 + 9 * q^10 - 103 * q^11 + 364 * q^12 - 35 * q^13 + 161 * q^14 - 245 * q^15 - 205 * q^16 - 285 * q^17 + 16 * q^18 + 628 * q^19 + 553 * q^20 - 21 * q^21 - 605 * q^22 + 149 * q^23 + 653 * q^24 - 370 * q^25 - 511 * q^26 - 65 * q^27 + 70 * q^28 - 187 * q^29 + 84 * q^30 + 1276 * q^31 + 1399 * q^32 - 23 * q^33 - 765 * q^34 - 805 * q^35 - 1691 * q^36 - 1531 * q^37 - 1041 * q^38 - 1351 * q^39 - 1759 * q^40 - 301 * q^41 + 3395 * q^42 - 257 * q^43 - 883 * q^44 + 3105 * q^45 + 1593 * q^46 + 733 * q^47 - 1948 * q^48 + 1288 * q^49 + 6148 * q^50 + 1197 * q^51 - 1099 * q^52 - 285 * q^53 + 660 * q^54 + 2641 * q^55 - 1988 * q^56 - 2352 * q^57 + 1173 * q^58 - 3603 * q^59 - 175 * q^60 - 2613 * q^61 - 1927 * q^62 - 3066 * q^63 + 1589 * q^64 - 371 * q^65 - 2175 * q^66 + 352 * q^67 + 6076 * q^68 + 5549 * q^69 - 6293 * q^70 - 2623 * q^71 + 6220 * q^72 + 2039 * q^73 - 2411 * q^74 - 3903 * q^75 + 4130 * q^76 + 1029 * q^77 - 3759 * q^78 + 44 * q^79 - 1608 * q^80 + 1394 * q^81 - 10920 * q^82 - 553 * q^83 - 7798 * q^84 + 497 * q^85 - 2985 * q^86 - 4273 * q^87 - 2197 * q^88 - 3957 * q^89 - 2958 * q^90 + 14119 * q^91 - 9136 * q^92 + 6272 * q^93 + 14912 * q^94 + 5866 * q^95 + 21882 * q^96 - 1540 * q^97 - 2303 * q^98 + 10768 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/49\mathbb{Z}\right)^\times$.

$n$	$3$
$\chi(n)$	$e\left(\frac{1}{7}\right)$

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 $

$2$	−2.77071	+	3.47436i	−0.979595	+	1.22837i	−0.00602555	+	0.999982i	$0.501918\pi$
$2$	−2.77071	+	3.47436i	−0.979595	+	1.22837i	−0.973569	+	0.228391i	$0.926653\pi$
$3$	−6.15987	−	2.96643i	−1.18547	−	0.570891i	−0.265967	−	0.963982i	$-0.585691\pi$
$3$	−6.15987	−	2.96643i	−1.18547	−	0.570891i	−0.919499	+	0.393091i	$0.871406\pi$
$4$	−2.61419	−	11.4535i	−0.326774	−	1.43169i
$5$	1.98451	+	0.955692i	0.177500	+	0.0854797i	0.520524	−	0.853847i	$-0.325737\pi$
$5$	1.98451	+	0.955692i	0.177500	+	0.0854797i	−0.343023	+	0.939327i	$0.611451\pi$
$6$	27.3737	−	13.1825i	1.86254	−	0.896954i
$7$	18.5202	+	0.0393741i	0.999998	+	0.00212600i
$7$	18.5202	+	0.0393741i	0.999998	+	0.00212600i
$8$	15.0065	+	7.22673i	0.663198	+	0.319379i
$9$	12.3100	+	15.4362i	0.455925	+	0.571712i
$10$	−8.81894	+	4.24698i	−0.278879	+	0.134301i
$11$	−2.32728	+	2.91832i	−0.0637911	+	0.0799915i	−0.812703	−	0.582678i	$-0.802005\pi$
$11$	−2.32728	+	2.91832i	−0.0637911	+	0.0799915i	0.748912	+	0.662669i	$0.230576\pi$
$12$	−17.8730	+	78.3069i	−0.429958	+	1.88377i
$13$	55.9871	−	70.2055i	1.19446	−	1.49781i	0.372726	−	0.927941i	$-0.378423\pi$
$13$	55.9871	−	70.2055i	1.19446	−	1.49781i	0.821737	−	0.569867i	$-0.193005\pi$
$14$	−51.4510	+	64.2369i	−0.982204	+	1.22629i
$15$	−9.38934	−	11.7739i	−0.161621	−	0.202667i
$16$	17.9902	−	8.66363i	0.281097	−	0.135369i
$17$	12.4417	−	54.5106i	0.177503	−	0.777691i	−0.805275	−	0.592901i	$-0.797982\pi$
$17$	12.4417	−	54.5106i	0.177503	−	0.777691i	0.982778	−	0.184790i	$-0.0591605\pi$
$18$	−87.7385			−1.14890
$19$	−27.6480			−0.333837			−0.166918	−	0.985971i	$-0.553382\pi$
$19$	−27.6480			−0.333837			−0.166918	+	0.985971i	$0.553382\pi$
$20$	5.75813	−	25.2280i	0.0643778	−	0.282058i
$21$	−113.965	−	55.1816i	−1.18425	−	0.573410i
$22$	−3.69107	−	16.1716i	−0.0357700	−	0.156718i
$23$	−12.4090	−	54.3675i	−0.112498	−	0.492887i	−0.999515	−	0.0311494i	$-0.990083\pi$
$23$	−12.4090	−	54.3675i	−0.112498	−	0.492887i	0.887016	−	0.461738i	$-0.152774\pi$
$24$	−71.0001	−	89.0313i	−0.603868	−	0.757227i
$25$	−74.9113	−	93.9358i	−0.599290	−	0.751486i
$26$	88.7956	+	389.039i	0.669779	+	2.93449i
$27$	11.0395	+	48.3672i	0.0786871	+	0.344751i
$28$	−47.9644	−	212.224i	−0.323729	−	1.43238i
$29$	−22.1528	+	97.0578i	−0.141851	+	0.621489i	0.853154	+	0.521660i	$0.174687\pi$
$29$	−22.1528	+	97.0578i	−0.141851	+	0.621489i	−0.995005	+	0.0998296i	$0.968170\pi$
$30$	66.9219			0.407274
$31$	99.2310			0.574916			0.287458	−	0.957793i	$-0.407190\pi$
$31$	99.2310			0.574916			0.287458	+	0.957793i	$0.407190\pi$
$32$	−49.3954	+	216.415i	−0.272874	+	1.19554i
$33$	22.9927	−	11.0727i	0.121289	−	0.0584095i
$34$	154.917	+	194.260i	0.781414	+	0.979863i
$35$	36.7160	+	17.7778i	0.177318	+	0.0858568i
$36$	144.618	−	181.346i	0.669529	−	0.839563i
$37$	79.7800	−	349.539i	0.354480	−	1.55308i	−0.412228	−	0.911081i	$-0.635249\pi$
$37$	79.7800	−	349.539i	0.354480	−	1.55308i	0.766708	−	0.641996i	$-0.221893\pi$
$38$	76.6048	−	96.0594i	0.327025	−	0.410076i
$39$	−553.133	+	266.375i	−2.27108	+	1.09369i
$40$	22.8740	+	28.6831i	0.0904174	+	0.113380i
$41$	300.534	+	144.730i	1.14477	+	0.551292i	0.907458	−	0.420142i	$-0.138020\pi$
$41$	300.534	+	144.730i	1.14477	+	0.551292i	0.237311	+	0.971434i	$0.423734\pi$
$42$	507.486	−	243.065i	1.86445	−	0.892992i
$43$	−383.629	+	184.746i	−1.36053	+	0.655198i	−0.964755	−	0.263148i	$-0.915239\pi$
$43$	−383.629	+	184.746i	−1.36053	+	0.655198i	−0.395778	+	0.918346i	$0.629525\pi$
$44$	39.5089	+	19.0265i	0.135368	+	0.0651898i
$45$	9.67706	+	42.3980i	0.0320571	+	0.140451i
$46$	223.274	+	107.523i	0.715652	+	0.344640i
$47$	301.391	−	377.932i	0.935369	−	1.17292i	−0.0493526	−	0.998781i	$-0.515716\pi$
$47$	301.391	−	377.932i	0.935369	−	1.17292i	0.984722	−	0.174135i	$-0.0557128\pi$
$48$	−136.517			−0.410512
$49$	342.997	+	1.45843i	0.999991	+	0.00425200i
$50$	533.925			1.51017
$51$	−238.341	+	298.870i	−0.654401	+	0.820592i
$52$	−950.461	−	457.718i	−2.53471	−	1.22065i
$53$	−90.7653	−	397.669i	−0.235237	−	1.03064i	−0.945223	−	0.326426i	$-0.894156\pi$
$53$	−90.7653	−	397.669i	−0.235237	−	1.03064i	0.709986	−	0.704216i	$-0.248701\pi$
$54$	−198.632	−	95.6563i	−0.500564	−	0.241059i
$55$	−7.40754	+	3.56728i	−0.0181606	+	0.00874568i
$56$	277.638	+	134.431i	0.662517	+	0.320788i
$57$	170.308	+	82.0161i	0.395752	+	0.190584i
$58$	−275.835	−	345.886i	−0.624464	−	0.783054i
$59$	−515.719	+	248.357i	−1.13798	+	0.548022i	−0.905402	−	0.424555i	$-0.860430\pi$
$59$	−515.719	+	248.357i	−1.13798	+	0.548022i	−0.232578	+	0.972578i	$0.574716\pi$
$60$	−110.307	+	138.320i	−0.237342	+	0.297617i
$61$	34.2558	−	150.085i	0.0719018	−	0.315022i	−0.926169	−	0.377109i	$-0.876918\pi$
$61$	34.2558	−	150.085i	0.0719018	−	0.315022i	0.998071	+	0.0620864i	$0.0197754\pi$
$62$	−274.941	+	344.765i	−0.563185	+	0.706212i
$63$	227.376	+	286.367i	0.454709	+	0.572680i
$64$	−515.449	−	646.352i	−1.00674	−	1.26241i
$65$	178.202	−	85.8176i	0.340050	−	0.163759i
$66$	−25.2356	+	110.564i	−0.0470650	+	0.206205i
$67$	370.306			0.675225			0.337612	−	0.941285i	$-0.390381\pi$
$67$	370.306			0.675225			0.337612	+	0.941285i	$0.390381\pi$
$68$	−656.862			−1.17142
$69$	−84.8397	+	371.707i	−0.148022	+	0.648526i
$70$	−163.496	+	78.3077i	−0.279164	+	0.133708i
$71$	86.0611	+	377.058i	0.143853	+	0.630262i	0.994519	+	0.104555i	$0.0333418\pi$
$71$	86.0611	+	377.058i	0.143853	+	0.630262i	−0.850666	+	0.525707i	$0.823801\pi$
$72$	73.1757	+	320.604i	0.119776	+	0.524771i
$73$	422.856	+	530.245i	0.677967	+	0.850144i	0.995165	−	0.0982154i	$-0.0313134\pi$
$73$	422.856	+	530.245i	0.677967	+	0.850144i	−0.317198	+	0.948359i	$0.602742\pi$
$74$	993.378	+	1245.66i	1.56051	+	1.95682i
$75$	182.789	+	800.851i	0.281422	+	1.23299i
$76$	72.2772	+	316.667i	0.109089	+	0.477950i
$77$	−43.2167	+	53.9563i	−0.0639610	+	0.0798557i
$78$	607.090	−	2659.83i	0.881274	−	3.86111i
$79$	−677.093			−0.964290			−0.482145	−	0.876091i	$-0.660142\pi$
$79$	−677.093			−0.964290			−0.482145	+	0.876091i	$0.660142\pi$
$80$	43.9816			0.0614661
$81$	194.098	−	850.397i	0.266252	−	1.16653i
$82$	−1335.54	+	643.160i	−1.79860	+	0.866161i
$83$	−494.014	−	619.474i	−0.653315	−	0.819231i	0.339283	−	0.940685i	$-0.389816\pi$
$83$	−494.014	−	619.474i	−0.653315	−	0.819231i	−0.992597	+	0.121454i	$0.961244\pi$
$84$	−334.096	+	1449.56i	−0.433962	+	1.88285i
$85$	76.7860	−	96.2866i	0.0979837	−	0.122868i
$86$	421.051	−	1844.75i	0.527943	−	2.31307i
$87$	424.374	−	532.148i	0.522962	−	0.655773i
$88$	−56.0141	+	26.9750i	−0.0678537	+	0.0326766i
$89$	−80.1989	−	100.566i	−0.0955175	−	0.119775i	0.731776	−	0.681546i	$-0.238692\pi$
$89$	−80.1989	−	100.566i	−0.0955175	−	0.119775i	−0.827293	+	0.561770i	$0.810120\pi$
$90$	−174.118	−	83.8510i	−0.203930	−	0.0982074i
$91$	1039.66	−	1298.02i	1.19764	−	1.49527i
$92$	−590.259	+	284.254i	−0.668900	+	0.322125i
$93$	−611.249	−	294.362i	−0.681544	−	0.328214i
$94$	478.006	+	2094.28i	0.524496	+	2.29797i
$95$	−54.8679	−	26.4230i	−0.0592561	−	0.0285362i
$96$	946.251	−	1186.56i	1.00600	−	1.26149i
$97$	430.011			0.450114			0.225057	−	0.974346i	$-0.427743\pi$
$97$	430.011			0.450114			0.225057	+	0.974346i	$0.427743\pi$
$98$	−955.413	+	1187.66i	−0.984809	+	1.22420i
$99$	−73.6966			−0.0748161
$100$	−880.062	+	1103.56i	−0.880062	+	1.10356i
$101$	−1123.52	−	541.059i	−1.10688	−	0.533043i	−0.211062	−	0.977473i	$-0.567692\pi$
$101$	−1123.52	−	541.059i	−1.10688	−	0.533043i	−0.895814	+	0.444429i	$0.853406\pi$
$102$	−378.009	−	1656.17i	−0.366946	−	1.60770i
$103$	585.492	+	281.958i	0.560099	+	0.269730i	0.692441	−	0.721475i	$-0.256535\pi$
$103$	585.492	+	281.958i	0.560099	+	0.269730i	−0.132342	+	0.991204i	$0.542250\pi$
$104$	1347.52	−	648.933i	1.27053	−	0.611857i
$105$	−173.429	−	218.424i	−0.161190	−	0.203010i
$106$	1633.13	+	786.475i	1.49645	+	0.720652i
$107$	240.731	+	301.867i	0.217498	+	0.272734i	0.878596	−	0.477565i	$-0.158481\pi$
$107$	240.731	+	301.867i	0.217498	+	0.272734i	−0.661098	+	0.750300i	$0.729909\pi$
$108$	525.114	−	252.882i	0.467863	−	0.225311i
$109$	−338.350	+	424.278i	−0.297322	+	0.372830i	−0.907943	−	0.419093i	$-0.862348\pi$
$109$	−338.350	+	424.278i	−0.297322	+	0.372830i	0.610622	+	0.791923i	$0.290920\pi$
$110$	8.13012	−	35.6204i	0.00704706	−	0.0308752i
$111$	−1528.32	+	1916.45i	−1.30686	+	1.63875i
$112$	333.524	−	159.744i	0.281384	−	0.134771i
$113$	1469.45	+	1842.63i	1.22331	+	1.53398i	0.763269	+	0.646081i	$0.223593\pi$
$113$	1469.45	+	1842.63i	1.22331	+	1.53398i	0.460039	+	0.887899i	$0.347835\pi$
$114$	−756.829	+	364.470i	−0.621785	+	0.299436i
$115$	27.3327	−	119.752i	0.0221634	−	0.0971040i
$116$	1169.56			0.936132
$117$	1772.91			1.40090
$118$	566.025	−	2479.92i	0.441584	−	1.93470i
$119$	232.569	−	1009.06i	0.179156	−	0.777312i
$120$	−55.8142	−	244.538i	−0.0424593	−	0.186027i
$121$	293.075	+	1284.05i	0.220192	+	0.964722i
$122$	426.536	+	534.859i	0.316530	+	0.396917i
$123$	−1421.92	−	1783.03i	−1.04236	−	1.30708i
$124$	−259.408	−	1136.54i	−0.187867	−	0.823101i
$125$	−120.156	−	526.436i	−0.0859764	−	0.376687i
$126$	−1624.94	−	3.45463i	−1.14890	−	0.00244256i
$127$	−357.943	+	1568.25i	−0.250097	+	1.09575i	0.681375	+	0.731934i	$0.261382\pi$
$127$	−357.943	+	1568.25i	−0.250097	+	1.09575i	−0.931472	+	0.363812i	$0.881475\pi$
$128$	1897.98			1.31062
$129$	2911.14			1.98691
$130$	−195.585	+	856.914i	−0.131953	+	0.578126i
$131$	−319.823	+	154.019i	−0.213306	+	0.102723i	−0.537486	−	0.843273i	$-0.680626\pi$
$131$	−319.823	+	154.019i	−0.213306	+	0.102723i	0.324180	+	0.945995i	$0.394912\pi$
$132$	−186.929	−	234.401i	−0.123258	−	0.154561i
$133$	−512.048	−	1.08862i	−0.333836	−	0.000709738i
$134$	−1026.01	+	1286.58i	−0.661447	+	0.829428i
$135$	−24.3161	+	106.536i	−0.0155022	+	0.0679195i
$136$	580.638	−	728.098i	0.366098	−	0.459072i
$137$	−2452.87	+	1181.24i	−1.52965	+	0.736643i	−0.994162	−	0.107898i	$-0.965588\pi$
$137$	−2452.87	+	1181.24i	−1.52965	+	0.736643i	−0.535492	+	0.844540i	$0.679874\pi$
$138$	−1056.38	−	1324.66i	−0.651630	−	0.817118i
$139$	1114.32	+	536.629i	0.679967	+	0.327455i	0.741790	−	0.670632i	$-0.233977\pi$
$139$	1114.32	+	536.629i	0.679967	+	0.327455i	−0.0618227	+	0.998087i	$0.519691\pi$
$140$	107.635	−	467.002i	0.0649773	−	0.281920i
$141$	−2977.64	+	1433.95i	−1.77846	+	0.856459i
$142$	−1548.49	−	745.712i	−0.915114	−	0.440696i
$143$	74.5845	+	326.776i	0.0436159	+	0.191094i
$144$	355.193	+	171.052i	0.205551	+	0.0989883i
$145$	−136.720	+	171.441i	−0.0783033	+	0.0981892i
$146$	−3013.88			−1.70843
$147$	−2108.49	−	1026.46i	−1.18303	−	0.575926i
$148$	−4212.01			−2.33936
$149$	1512.33	−	1896.40i	0.831507	−	1.04268i	−0.166884	−	0.985976i	$-0.553371\pi$
$149$	1512.33	−	1896.40i	0.831507	−	1.04268i	0.998391	−	0.0567001i	$-0.0180579\pi$
$150$	−3288.90	−	1583.85i	−1.79025	−	0.862140i
$151$	123.301	+	540.215i	0.0664507	+	0.291139i	0.997224	−	0.0744567i	$-0.0237223\pi$
$151$	123.301	+	540.215i	0.0664507	+	0.291139i	−0.930774	+	0.365596i	$0.880865\pi$
$152$	−414.899	−	199.805i	−0.221400	−	0.106620i
$153$	994.594	−	478.971i	0.525544	−	0.253089i
$154$	−67.7227	−	299.648i	−0.0354367	−	0.156794i
$155$	196.925	+	94.8342i	0.102048	+	0.0491437i
$156$	4496.92	+	5638.96i	2.30796	+	2.89409i
$157$	804.712	−	387.529i	0.409064	−	0.196995i	−0.218024	−	0.975943i	$-0.569961\pi$
$157$	804.712	−	387.529i	0.409064	−	0.196995i	0.627088	+	0.778949i	$0.284247\pi$
$158$	1876.03	−	2352.47i	0.944614	−	1.18451i
$159$	−620.557	+	2718.84i	−0.309518	+	1.35609i
$160$	−304.852	+	382.273i	−0.150629	+	0.188883i
$161$	−227.677	−	1007.39i	−0.111450	−	0.493125i
$162$	2416.80	+	3030.57i	1.17211	+	1.46978i
$163$	−1042.41	+	501.997i	−0.500906	+	0.241223i	−0.667236	−	0.744847i	$-0.732523\pi$
$163$	−1042.41	+	501.997i	−0.500906	+	0.241223i	0.166330	+	0.986070i	$0.446808\pi$
$164$	872.008	−	3820.52i	0.415198	−	1.81910i
$165$	56.2115			0.0265216
$166$	3521.05			1.64630
$167$	801.827	−	3513.04i	0.371541	−	1.62783i	−0.350914	−	0.936408i	$-0.614129\pi$
$167$	801.827	−	3513.04i	0.371541	−	1.62783i	0.722455	−	0.691418i	$-0.243014\pi$
$168$	−1311.43	−	1651.68i	−0.602257	−	0.758509i
$169$	−1305.39	−	5719.29i	−0.594169	−	2.60323i
$170$	121.783	+	533.565i	0.0549430	+	0.240721i
$171$	−340.347	−	426.781i	−0.152205	−	0.190858i
$172$	3118.87	+	3910.94i	1.38263	+	1.73376i
$173$	−261.606	−	1146.17i	−0.114968	−	0.503710i	−0.999319	−	0.0368872i	$-0.988256\pi$
$173$	−261.606	−	1146.17i	−0.114968	−	0.503710i	0.884351	−	0.466823i	$-0.154601\pi$
$174$	673.058	+	2948.86i	0.293244	+	1.28478i
$175$	−1383.67	−	1742.66i	−0.597691	−	0.752759i
$176$	−16.5851	+	72.6639i	−0.00710310	+	0.0311207i
$177$	3913.49			1.66190
$178$	571.612			0.240697
$179$	−279.293	+	1223.66i	−0.116622	+	0.510955i	0.882548	+	0.470222i	$0.155826\pi$
$179$	−279.293	+	1223.66i	−0.116622	+	0.510955i	−0.999170	+	0.0407324i	$0.987031\pi$
$180$	460.308	−	221.673i	0.190607	−	0.0917916i
$181$	966.945	+	1212.51i	0.397086	+	0.497930i	0.939675	−	0.342068i	$-0.111127\pi$
$181$	966.945	+	1212.51i	0.397086	+	0.497930i	−0.542589	+	0.839998i	$0.682556\pi$
$182$	1629.20	+	7208.58i	0.663538	+	2.93591i
$183$	−656.228	+	822.883i	−0.265081	+	0.332400i
$184$	206.684	−	905.540i	0.0828093	−	0.362811i
$185$	492.376	−	617.420i	0.195677	−	0.245371i
$186$	2716.32	−	1308.11i	1.07081	−	0.515674i
$187$	130.124	+	163.170i	0.0508856	+	0.0638085i
$188$	−5116.54	−	2464.00i	−1.98490	−	0.955879i
$189$	202.549	+	896.205i	0.0779539	+	0.344917i
$190$	243.826	−	117.421i	0.0931002	−	0.0448347i
$191$	2067.24	+	995.532i	0.783144	+	0.377142i	0.782335	−	0.622857i	$-0.214028\pi$
$191$	2067.24	+	995.532i	0.783144	+	0.377142i	0.000808519		1.00000i	$0.499743\pi$
$192$	1257.73	+	5510.49i	0.472755	+	2.07128i
$193$	582.333	+	280.437i	0.217188	+	0.104592i	0.539314	−	0.842104i	$-0.318683\pi$
$193$	582.333	+	280.437i	0.217188	+	0.104592i	−0.322127	+	0.946697i	$0.604398\pi$
$194$	−1191.44	+	1494.02i	−0.440929	+	0.552908i
$195$	−1352.27			−0.496606
$196$	−879.954	−	3932.33i	−0.320683	−	1.43306i
$197$	−3165.25			−1.14475			−0.572373	−	0.819993i	$-0.693977\pi$
$197$	−3165.25			−1.14475			−0.572373	+	0.819993i	$0.693977\pi$
$198$	204.192	−	256.049i	0.0732894	−	0.0919020i
$199$	−181.500	−	87.4058i	−0.0646542	−	0.0311358i	0.401277	−	0.915957i	$-0.368566\pi$
$199$	−181.500	−	87.4058i	−0.0646542	−	0.0311358i	−0.465931	+	0.884821i	$0.654281\pi$
$200$	−445.304	−	1951.01i	−0.157439	−	0.689785i
$201$	−2281.03	−	1098.49i	−0.800457	−	0.385480i
$202$	4992.79	−	2404.40i	1.73907	−	0.837490i
$203$	−414.097	+	1796.66i	−0.143172	+	0.621186i
$204$	4046.18	+	1948.54i	1.38867	+	0.668750i
$205$	458.097	+	574.436i	0.156073	+	0.195709i
$206$	−2601.85	+	1252.99i	−0.879999	+	0.423785i
$207$	686.474	−	860.811i	0.230499	−	0.289036i
$208$	398.984	−	1748.06i	0.133003	−	0.582723i
$209$	64.3448	−	80.6858i	0.0212958	−	0.0267041i
$210$	1239.41	+	2.63499i	0.407273	+	0.000865865i
$211$	1698.27	+	2129.56i	0.554093	+	0.694811i	0.977454	−	0.211151i	$-0.0677210\pi$
$211$	1698.27	+	2129.56i	0.554093	+	0.694811i	−0.423360	+	0.905961i	$0.639150\pi$
$212$	−4317.43	+	2079.16i	−1.39869	+	0.673573i
$213$	588.394	−	2577.92i	0.189277	−	0.829278i
$214$	−1715.79			−0.548080
$215$	−937.878			−0.297501
$216$	−183.873	+	805.599i	−0.0579211	+	0.253769i
$217$	1837.78	+	3.90713i	0.574915	+	0.00122227i
$218$	−536.624	−	2351.11i	−0.166719	−	0.730445i
$219$	−1031.80	−	4520.62i	−0.318368	−	1.39486i
$220$	60.2226	+	75.5167i	0.0184555	+	0.0231424i
$221$	−3130.37	−	3925.36i	−0.952812	−	1.19479i
$222$	−2423.92	−	10619.9i	−0.732804	−	3.21062i
$223$	−353.209	−	1547.51i	−0.106066	−	0.464703i	−0.999868	−	0.0162427i	$-0.994830\pi$
$223$	−353.209	−	1547.51i	−0.106066	−	0.464703i	0.893803	−	0.448461i	$-0.148028\pi$
$224$	−923.335	+	4006.12i	−0.275415	+	1.19495i
$225$	527.858	−	2312.69i	0.156402	−	0.685243i
$226$	−10473.4			−3.08265
$227$	2876.55			0.841072			0.420536	−	0.907276i	$-0.361842\pi$
$227$	2876.55			0.841072			0.420536	+	0.907276i	$0.361842\pi$
$228$	494.154	−	2165.03i	0.143536	−	0.628872i
$229$	1069.46	−	515.025i	0.308611	−	0.148619i	−0.273168	−	0.961966i	$-0.588071\pi$
$229$	1069.46	−	515.025i	0.308611	−	0.148619i	0.581778	+	0.813347i	$0.302357\pi$
$230$	340.332	+	426.763i	0.0975688	+	0.122347i
$231$	426.267	−	204.164i	0.121412	−	0.0581515i
$232$	−1033.85	+	1296.40i	−0.292566	+	0.366866i
$233$	−163.959	+	718.353i	−0.0461002	+	0.201978i	−0.992733	−	0.120335i	$-0.961603\pi$
$233$	−163.959	+	718.353i	−0.0461002	+	0.201978i	0.946633	+	0.322313i	$0.104460\pi$
$234$	−4912.22	+	6159.73i	−1.37232	+	1.72083i
$235$	959.301	−	461.975i	0.266289	−	0.128238i
$236$	4192.74	+	5257.53i	1.15646	+	1.45015i
$237$	4170.80	+	2008.55i	1.14313	+	0.550504i
$238$	2861.45	+	3603.84i	0.779329	+	0.981522i
$239$	944.332	−	454.767i	0.255581	−	0.123081i	−0.301707	−	0.953401i	$-0.597556\pi$
$239$	944.332	−	454.767i	0.255581	−	0.123081i	0.557288	+	0.830320i	$0.311842\pi$
$240$	−270.921	−	130.469i	−0.0728661	−	0.0350904i
$241$	931.669	+	4081.91i	0.249021	+	1.09103i	0.932530	+	0.361091i	$0.117596\pi$
$241$	931.669	+	4081.91i	0.249021	+	1.09103i	−0.683509	+	0.729942i	$0.739547\pi$
$242$	−5273.27	−	2539.47i	−1.40074	−	0.674560i
$243$	−2883.10	+	3615.29i	−0.761115	+	0.954408i
$244$	−1808.55			−0.474510
$245$	679.289	+	330.694i	0.177135	+	0.0862336i
$246$	10134.6			2.62667
$247$	−1547.93	+	1941.05i	−0.398755	+	0.500023i
$248$	1489.10	+	717.115i	0.381283	+	0.183616i
$249$	1205.43	+	5281.34i	0.306792	+	1.34414i
$250$	2161.95	+	1041.14i	0.546935	+	0.263390i
$251$	−3516.40	+	1693.41i	−0.884276	+	0.425845i	−0.820185	−	0.572099i	$-0.806129\pi$
$251$	−3516.40	+	1693.41i	−0.884276	+	0.425845i	−0.0640918	+	0.997944i	$0.520415\pi$
$252$	2685.50	−	3352.87i	0.671313	−	0.838138i
$253$	187.541	+	90.3150i	0.0466032	+	0.0224429i
$254$	−4456.92	−	5588.80i	−1.10099	−	1.38060i
$255$	−758.619	+	365.332i	−0.186300	+	0.0897175i
$256$	−1135.16	+	1423.44i	−0.277138	+	0.347519i
$257$	−112.544	+	493.089i	−0.0273164	+	0.119681i	−0.986748	−	0.162261i	$-0.948121\pi$
$257$	−112.544	+	493.089i	−0.0273164	+	0.119681i	0.959431	+	0.281942i	$0.0909785\pi$
$258$	−8065.94	+	10114.4i	−1.94637	+	2.44067i
$259$	1491.30	−	6470.39i	0.357781	−	1.55232i
$260$	−1448.77	−	1816.69i	−0.345572	−	0.433333i
$261$	−1770.91	+	852.824i	−0.419986	+	0.202255i
$262$	351.021	−	1537.92i	0.0827716	−	0.362646i
$263$	5882.69			1.37925			0.689623	−	0.724168i	$-0.257776\pi$
$263$	5882.69			1.37925			0.689623	+	0.724168i	$0.257776\pi$
$264$	425.059			0.0990931
$265$	199.924	−	875.923i	0.0463442	−	0.203047i
$266$	1422.52	−	1776.02i	0.327896	−	0.409380i
$267$	195.691	+	857.379i	0.0448543	+	0.196520i
$268$	−968.050	−	4241.30i	−0.220646	−	0.966712i
$269$	−504.325	−	632.403i	−0.114309	−	0.143339i	0.721385	−	0.692534i	$-0.243506\pi$
$269$	−504.325	−	632.403i	−0.114309	−	0.143339i	−0.835694	+	0.549195i	$0.814934\pi$
$270$	−302.771	−	379.663i	−0.0682446	−	0.0855761i
$271$	1461.44	+	6402.97i	0.327587	+	1.43525i	0.823716	+	0.567002i	$0.191897\pi$
$271$	1461.44	+	6402.97i	0.327587	+	1.43525i	−0.496130	+	0.868248i	$0.665246\pi$
$272$	−248.431	−	1088.45i	−0.0553799	−	0.242635i
$273$	−10254.6	+	4911.54i	−2.27340	+	1.08886i
$274$	2692.14	−	11795.0i	0.593569	−	2.60060i
$275$	448.474			0.0983419
$276$	4479.14			0.976856
$277$	−1328.96	+	5822.55i	−0.288265	+	1.26297i	0.598639	+	0.801019i	$0.295708\pi$
$277$	−1328.96	+	5822.55i	−0.288265	+	1.26297i	−0.886904	+	0.461953i	$0.847149\pi$
$278$	−4951.91	+	2384.71i	−1.06833	+	0.514480i
$279$	1221.53	+	1531.75i	0.262119	+	0.328687i
$280$	422.502	+	532.118i	0.0901762	+	0.113572i
$281$	3133.38	−	3929.13i	0.665202	−	0.834137i	−0.328697	−	0.944436i	$-0.606609\pi$
$281$	3133.38	−	3929.13i	0.665202	−	0.834137i	0.993898	+	0.110299i	$0.0351808\pi$
$282$	3268.10	−	14318.5i	0.690115	−	3.02359i
$283$	−1253.21	+	1571.47i	−0.263234	+	0.330086i	−0.895830	−	0.444397i	$-0.853418\pi$
$283$	−1253.21	+	1571.47i	−0.263234	+	0.330086i	0.632596	+	0.774482i	$0.281990\pi$
$284$	4093.66	−	1971.40i	0.855331	−	0.411906i
$285$	259.597	+	325.524i	0.0539551	+	0.0676575i
$286$	−1341.99	−	646.269i	−0.277460	−	0.133618i
$287$	5560.26	+	2692.26i	1.14359	+	0.553724i
$288$	−3948.69	+	1901.59i	−0.807913	+	0.389071i
$289$	1609.85	+	775.265i	0.327672	+	0.157799i
$290$	−216.838	−	950.030i	−0.0439075	−	0.192371i
$291$	−2648.81	−	1275.60i	−0.533595	−	0.256966i
$292$	4967.74	−	6229.35i	0.995600	−	1.24844i
$293$	5065.33			1.00997			0.504983	−	0.863129i	$-0.331499\pi$
$293$	5065.33			1.00997			0.504983	+	0.863129i	$0.331499\pi$
$294$	9408.32	−	4481.63i	1.86634	−	0.889026i
$295$	−1260.80			−0.248837
$296$	3723.24	−	4668.79i	0.731110	−	0.916783i
$297$	−166.843	−	80.3473i	−0.0325966	−	0.0156977i
$298$	2398.55	+	10508.7i	0.466256	+	2.04280i
$299$	−4511.65	−	2172.69i	−0.872626	−	0.420235i
$300$	8694.71	−	4187.15i	1.67330	−	0.805818i
$301$	−7112.17	+	3406.43i	−1.36192	+	0.652304i
$302$	−2218.53	−	1068.39i	−0.422723	−	0.203573i
$303$	5315.72	+	6665.70i	1.00785	+	1.26381i
$304$	−497.394	+	239.532i	−0.0938405	+	0.0451912i
$305$	211.416	−	265.107i	0.0396906	−	0.0497705i
$306$	−1091.61	+	4782.68i	−0.203933	+	0.893488i
$307$	−215.351	+	270.042i	−0.0400350	+	0.0502022i	−0.801446	−	0.598067i	$-0.795936\pi$
$307$	−215.351	+	270.042i	−0.0400350	+	0.0502022i	0.761411	+	0.648270i	$0.224507\pi$
$308$	730.965	+	353.931i	0.135229	+	0.0654775i
$309$	−2770.14	−	3473.65i	−0.509993	−	0.639511i
$310$	−875.112	+	421.432i	−0.160332	+	0.0772120i
$311$	1408.56	−	6171.30i	0.256823	−	1.12522i	−0.667802	−	0.744339i	$-0.732765\pi$
$311$	1408.56	−	6171.30i	0.256823	−	1.12522i	0.924626	−	0.380877i	$-0.124378\pi$
$312$	−10225.6			−1.85548
$313$	−4465.91			−0.806480			−0.403240	−	0.915094i	$-0.632116\pi$
$313$	−4465.91			−0.806480			−0.403240	+	0.915094i	$0.632116\pi$
$314$	−883.210	+	3869.59i	−0.158734	+	0.695458i
$315$	177.552	+	785.601i	0.0317585	+	0.140519i
$316$	1770.05	+	7755.09i	0.315104	+	1.38056i
$317$	1459.57	+	6394.78i	0.258604	+	1.13302i	0.922745	+	0.385410i	$0.125940\pi$
$317$	1459.57	+	6394.78i	0.258604	+	1.13302i	−0.664141	+	0.747607i	$0.731203\pi$
$318$	−7726.84	−	9689.15i	−1.36258	−	1.70862i
$319$	−231.690	−	290.530i	−0.0406650	−	0.0509923i
$320$	−405.202	−	1775.31i	−0.0707858	−	0.310133i
$321$	−587.401	−	2573.57i	−0.102136	−	0.447485i
$322$	4130.86	+	2000.15i	0.714918	+	0.346161i
$323$	−343.988	+	1507.11i	−0.0592570	+	0.259622i
$324$	−10247.4			−1.75710
$325$	−10788.9			−1.84141
$326$	1144.09	−	5012.59i	0.194372	−	0.851600i
$327$	3342.79	−	1609.80i	0.565310	−	0.272239i
$328$	3464.03	+	4343.75i	0.583137	+	0.731231i
$329$	5596.70	−	6987.52i	0.937861	−	1.17092i
$330$	−155.746	+	195.299i	−0.0259804	+	0.0325784i
$331$	−948.583	+	4156.01i	−0.157519	+	0.690136i	0.833059	+	0.553185i	$0.186588\pi$
$331$	−948.583	+	4156.01i	−0.157519	+	0.690136i	−0.990578	+	0.136952i	$0.956270\pi$
$332$	−5803.71	+	7277.62i	−0.959397	+	1.20305i
$333$	6377.65	−	3071.31i	1.04953	−	0.505426i
$334$	9983.93	+	12519.5i	1.63562	+	2.05100i
$335$	734.878	+	353.898i	0.119853	+	0.0577180i
$336$	−2528.33	−	5.37525i	−0.410511	−	0.000872750i
$337$	−2303.97	+	1109.53i	−0.372419	+	0.179347i	−0.610725	−	0.791843i	$-0.709122\pi$
$337$	−2303.97	+	1109.53i	−0.372419	+	0.179347i	0.238307	+	0.971190i	$0.423408\pi$
$338$	23487.7	+	11311.1i	3.77978	+	1.82025i
$339$	−3585.56	−	15709.3i	−0.574456	−	2.51686i
$340$	−1303.55	−	627.758i	−0.207927	−	0.100132i
$341$	−230.938	+	289.588i	−0.0366745	+	0.0459884i
$342$	2425.80			0.383544
$343$	6352.32	+	40.5157i	0.999980	+	0.00637797i
$344$	−7092.03			−1.11156
$345$	−523.603	+	656.577i	−0.0817097	+	0.102461i
$346$	4707.05	+	2266.80i	0.731366	+	0.352207i
$347$	−1246.83	−	5462.73i	−0.192892	−	0.845115i	−0.975041	−	0.222024i	$-0.928734\pi$
$347$	−1246.83	−	5462.73i	−0.192892	−	0.845115i	0.782149	−	0.623091i	$-0.214123\pi$
$348$	−7204.36	−	3469.44i	−1.10975	−	0.534429i
$349$	7490.57	−	3607.27i	1.14888	−	0.553274i	0.240186	−	0.970727i	$-0.422791\pi$
$349$	7490.57	−	3607.27i	1.14888	−	0.553274i	0.908699	+	0.417453i	$0.137077\pi$
$350$	9888.40	+	21.0228i	1.51016	+	0.00321062i
$351$	4013.71	+	1932.90i	0.610359	+	0.293934i
$352$	−516.612	−	647.811i	−0.0782259	−	0.0980922i
$353$	−6551.85	+	3155.20i	−0.987874	+	0.475735i	−0.856806	−	0.515638i	$-0.827555\pi$
$353$	−6551.85	+	3155.20i	−0.987874	+	0.475735i	−0.131068	+	0.991373i	$0.541841\pi$
$354$	−10843.2	+	13596.9i	−1.62799	+	2.04143i
$355$	−189.562	+	830.525i	−0.0283406	+	0.124168i
$356$	−942.181	+	1181.46i	−0.140268	+	0.175891i
$357$	−4425.90	+	5525.76i	−0.656144	+	0.819199i
$358$	−3477.61	−	4360.79i	−0.513401	−	0.643784i
$359$	2097.36	−	1010.04i	0.308341	−	0.148489i	−0.273314	−	0.961925i	$-0.588120\pi$
$359$	2097.36	−	1010.04i	0.308341	−	0.148489i	0.581655	+	0.813436i	$0.302405\pi$
$360$	−161.180	+	706.177i	−0.0235971	+	0.103385i
$361$	−6094.59			−0.888553
$362$	−6891.83			−1.00063
$363$	2003.73	−	8778.94i	0.289721	−	1.26935i
$364$	−17584.7	−	8514.45i	−2.53211	−	1.22604i
$365$	332.414	+	1456.40i	0.0476694	+	0.208853i
$366$	−1040.78	−	4559.95i	−0.148640	−	0.651236i
$367$	126.986	+	159.235i	0.0180616	+	0.0226485i	0.790780	−	0.612100i	$-0.209675\pi$
$367$	126.986	+	159.235i	0.0180616	+	0.0226485i	−0.772719	+	0.634749i	$0.781104\pi$
$368$	−694.261	−	870.576i	−0.0983447	−	0.123320i
$369$	1465.49	+	6420.73i	0.206749	+	0.905826i
$370$	780.909	+	3421.39i	0.109723	+	0.480728i
$371$	−1665.34	−	7368.49i	−0.233046	−	1.03114i
$372$	−1773.56	+	7770.47i	−0.247190	+	1.08301i
$373$	−2267.07			−0.314703			−0.157352	−	0.987543i	$-0.550296\pi$
$373$	−2267.07			−0.314703			−0.157352	+	0.987543i	$0.550296\pi$
$374$	−927.449			−0.128228
$375$	−821.497	+	3599.21i	−0.113125	+	0.495633i
$376$	7254.02	−	3493.35i	0.994940	−	0.479138i
$377$	5573.73	+	6989.23i	0.761437	+	0.954811i
$378$	−3674.95	−	1779.40i	−0.500050	−	0.242122i
$379$	1454.03	−	1823.30i	0.197067	−	0.247115i	−0.673473	−	0.739212i	$-0.735198\pi$
$379$	1454.03	−	1823.30i	0.197067	−	0.247115i	0.870540	+	0.492097i	$0.163770\pi$
$380$	−159.201	+	697.505i	−0.0214917	+	0.0941612i
$381$	6857.00	−	8598.40i	0.922033	−	1.15619i
$382$	−9186.58	+	4424.02i	−1.23044	+	0.592546i
$383$	1684.31	+	2112.06i	0.224711	+	0.281779i	0.881388	−	0.472394i	$-0.156610\pi$
$383$	1684.31	+	2112.06i	0.224711	+	0.281779i	−0.656677	+	0.754172i	$0.728038\pi$
$384$	−11691.3	−	5630.22i	−1.55369	−	0.748219i
$385$	−137.330	+	65.7752i	−0.0181791	+	0.00870705i
$386$	−2587.82	+	1246.23i	−0.341234	+	0.164330i
$387$	−7574.25	−	3647.57i	−0.994886	−	0.479112i
$388$	−1124.13	−	4925.14i	−0.147085	−	0.644423i
$389$	5195.84	+	2502.19i	0.677223	+	0.326133i	0.740686	−	0.671851i	$-0.234500\pi$
$389$	5195.84	+	2502.19i	0.677223	+	0.326133i	−0.0634637	+	0.997984i	$0.520215\pi$
$390$	3746.76	−	4698.29i	0.486473	−	0.610018i
$391$	−3117.99			−0.403283
$392$	5136.63	+	2500.63i	0.661834	+	0.322196i
$393$	2426.95			0.311510
$394$	8770.01	−	10997.2i	1.12139	−	1.40618i
$395$	−1343.70	−	647.092i	−0.171162	−	0.0824272i
$396$	192.657	+	844.085i	0.0244479	+	0.107113i
$397$	−10664.0	−	5135.53i	−1.34814	−	0.649232i	−0.386183	−	0.922422i	$-0.626207\pi$
$397$	−10664.0	−	5135.53i	−1.34814	−	0.649232i	−0.961960	+	0.273190i	$0.911921\pi$
$398$	806.564	−	388.421i	0.101581	−	0.0489190i
$399$	3150.92	+	1525.66i	0.395346	+	0.191425i
$400$	−2161.49	−	1040.92i	−0.270187	−	0.130115i
$401$	635.235	+	796.559i	0.0791075	+	0.0991977i	0.819810	−	0.572635i	$-0.194079\pi$
$401$	635.235	+	796.559i	0.0791075	+	0.0991977i	−0.740703	+	0.671833i	$0.765507\pi$
$402$	10136.6	−	4881.55i	1.25764	−	0.605646i
$403$	5555.65	−	6966.57i	0.686716	−	0.861115i
$404$	−3259.93	+	14282.7i	−0.401454	+	1.75889i
$405$	1197.91	−	1502.13i	0.146974	−	0.184300i
$406$	−5094.91	−	6416.75i	−0.622798	−	0.784379i
$407$	834.395	+	1046.30i	0.101620	+	0.127428i
$408$	−5736.51	+	2762.56i	−0.696077	+	0.335213i
$409$	−1853.78	+	8121.95i	−0.224116	+	0.981918i	0.730226	+	0.683205i	$0.239415\pi$
$409$	−1853.78	+	8121.95i	−0.224116	+	0.981918i	−0.954343	+	0.298713i	$0.903443\pi$
$410$	−3265.05			−0.393292
$411$	18613.4			2.23390
$412$	1698.82	−	7443.03i	0.203143	−	0.890028i
$413$	−9561.00	+	4579.32i	−1.13914	+	0.545602i
$414$	1088.75	+	4770.12i	0.129249	+	0.566277i
$415$	−388.352	−	1701.48i	−0.0459360	−	0.201259i
$416$	12428.1	+	15584.3i	1.46475	+	1.83674i
$417$	−5272.19	−	6611.12i	−0.619138	−	0.776374i
$418$	102.051	+	447.114i	0.0119413	+	0.0523184i
$419$	−841.566	−	3687.14i	−0.0981222	−	0.429901i	0.901876	−	0.431996i	$-0.142190\pi$
$419$	−841.566	−	3687.14i	−0.0981222	−	0.429901i	−0.999998	+	0.00209444i	$0.999333\pi$
$420$	−2048.35	+	2557.37i	−0.237974	+	0.297112i
$421$	−2310.29	+	10122.0i	−0.267450	+	1.17177i	0.645519	+	0.763745i	$0.276641\pi$
$421$	−2310.29	+	10122.0i	−0.267450	+	1.17177i	−0.912968	+	0.408030i	$0.866216\pi$
$422$	−12104.3			−1.39627
$423$	9543.96			1.09703
$424$	1511.78	−	6623.54i	0.173157	−	0.758649i
$425$	−6052.51	+	2914.74i	−0.690800	+	0.332672i
$426$	7326.37	+	9186.98i	0.833248	+	1.04486i
$427$	640.335	−	2778.25i	0.0725714	−	0.314869i
$428$	2828.12	−	3546.35i	0.319398	−	0.400513i
$429$	509.930	−	2234.15i	0.0573884	−	0.251435i
$430$	2598.59	−	3258.53i	0.291431	−	0.365443i
$431$	−2959.09	+	1425.02i	−0.330706	+	0.159260i	−0.591867	−	0.806036i	$-0.701609\pi$
$431$	−2959.09	+	1425.02i	−0.330706	+	0.159260i	0.261161	+	0.965295i	$0.415895\pi$
$432$	617.638	+	774.493i	0.0687873	+	0.0862565i
$433$	−4220.36	−	2032.42i	−0.468400	−	0.225570i	0.184768	−	0.982782i	$-0.440847\pi$
$433$	−4220.36	−	2032.42i	−0.468400	−	0.225570i	−0.653169	+	0.757212i	$0.726561\pi$
$434$	−5105.53	+	6374.29i	−0.564685	+	0.705013i
$435$	1350.75	−	650.485i	0.148881	−	0.0716974i
$436$	5743.98	+	2766.16i	0.630933	+	0.303841i
$437$	343.085	+	1503.16i	0.0375561	+	0.164544i
$438$	18565.1	+	8940.47i	2.02528	+	0.975325i
$439$	9780.00	−	12263.7i	1.06327	−	1.33329i	0.123170	−	0.992386i	$-0.460694\pi$
$439$	9780.00	−	12263.7i	1.06327	−	1.33329i	0.940096	−	0.340909i	$-0.110735\pi$
$440$	−136.941			−0.0148372
$441$	4199.77	+	5312.53i	0.453490	+	0.573646i
$442$	22311.5			2.40102
$443$	5257.22	−	6592.34i	0.563833	−	0.707024i	−0.415428	−	0.909626i	$-0.636368\pi$
$443$	5257.22	−	6592.34i	0.563833	−	0.707024i	0.979261	+	0.202602i	$0.0649397\pi$
$444$	25945.4	+	12494.6i	2.77323	+	1.33552i
$445$	−63.0455	−	276.220i	−0.00671605	−	0.0294250i
$446$	6355.25	+	3060.53i	0.674730	+	0.324933i
$447$	−14941.3	+	7195.33i	−1.58098	+	0.761359i
$448$	−9520.77	−	11990.9i	−1.00405	−	1.26454i
$449$	−6559.76	−	3159.01i	−0.689474	−	0.332033i	0.0561288	−	0.998424i	$-0.482124\pi$
$449$	−6559.76	−	3159.01i	−0.689474	−	0.332033i	−0.745603	+	0.666390i	$0.767839\pi$
$450$	6572.60	+	8241.78i	0.688523	+	0.863381i
$451$	−1121.79	+	540.228i	−0.117125	+	0.0564043i
$452$	17263.1	−	21647.3i	1.79644	−	2.25266i
$453$	842.998	−	3693.41i	0.0874337	−	0.383072i
$454$	−7970.09	+	9994.18i	−0.823910	+	1.03315i
$455$	3303.72	−	1582.34i	0.340397	−	0.163036i
$456$	1963.01	+	2461.54i	0.201593	+	0.252790i
$457$	−9253.93	+	4456.46i	−0.947223	+	0.456158i	−0.842712	−	0.538365i	$-0.819042\pi$
$457$	−9253.93	+	4456.46i	−0.947223	+	0.456158i	−0.104511	+	0.994524i	$0.533328\pi$
$458$	−1173.78	+	5142.68i	−0.119754	+	0.524676i
$459$	2773.87			0.282077
$460$	−1443.04			−0.146265
$461$	−311.838	+	1366.25i	−0.0315049	+	0.138032i	−0.988234	−	0.152947i	$-0.951124\pi$
$461$	−311.838	+	1366.25i	−0.0315049	+	0.138032i	0.956730	+	0.290979i	$0.0939809\pi$
$462$	−471.723	+	2046.68i	−0.0475033	+	0.206105i
$463$	−429.861	−	1883.34i	−0.0431476	−	0.189042i	0.948761	−	0.315994i	$-0.102338\pi$
$463$	−429.861	−	1883.34i	−0.0431476	−	0.189042i	−0.991909	+	0.126952i	$0.959481\pi$
$464$	442.339	+	1938.01i	0.0442566	+	0.193901i
$465$	−931.714	−	1168.33i	−0.0929187	−	0.116516i
$466$	−2041.54	−	2560.01i	−0.202945	−	0.254485i
$467$	−117.368	−	514.224i	−0.0116299	−	0.0509539i	0.968780	−	0.247922i	$-0.0797476\pi$
$467$	−117.368	−	514.224i	−0.0116299	−	0.0509539i	−0.980410	+	0.196968i	$0.936890\pi$
$468$	−4634.72	−	20306.0i	−0.457777	−	2.00565i
$469$	6858.15	+	14.5805i	0.675223	+	0.00143553i
$470$	−1052.88	+	4612.96i	−0.103331	+	0.452723i
$471$	−6106.50			−0.597394
$472$	−9533.91			−0.929733
$473$	353.665	−	1549.51i	0.0343796	−	0.150627i
$474$	−18534.5	+	8925.76i	−1.79603	+	0.864924i
$475$	2071.15	+	2597.14i	0.200065	+	0.250874i
$476$	−12165.2	−	25.8634i	−1.17141	−	0.00249043i
$477$	5021.19	−	6296.37i	0.481980	−	0.604384i
$478$	−1036.45	+	4540.98i	−0.0991759	+	0.434518i
$479$	−4992.52	+	6260.42i	−0.476230	+	0.597173i	−0.960684	−	0.277643i	$-0.910447\pi$
$479$	−4992.52	+	6260.42i	−0.476230	+	0.597173i	0.484455	+	0.874816i	$0.339018\pi$
$480$	3011.84	−	1450.42i	0.286398	−	0.137922i
$481$	−20072.9	−	25170.6i	−1.90280	−	2.38603i
$482$	−16763.4	−	8072.84i	−1.58414	−	0.762880i
$483$	−1585.89	+	6880.76i	−0.149400	+	0.648210i
$484$	13940.7	−	6713.47i	1.30923	−	0.630492i
$485$	853.364	+	410.958i	0.0798954	+	0.0384756i
$486$	−4572.60	−	20033.9i	−0.426785	−	1.86987i
$487$	360.011	+	173.372i	0.0334982	+	0.0161319i	0.450558	−	0.892747i	$-0.351225\pi$
$487$	360.011	+	173.372i	0.0334982	+	0.0161319i	−0.417060	+	0.908879i	$0.636939\pi$
$488$	1598.68	−	2004.68i	0.148297	−	0.185958i
$489$	7910.23			0.731519
$490$	−3031.06	+	1443.84i	−0.279448	+	0.133114i
$491$	−20175.1			−1.85436			−0.927179	−	0.374619i	$-0.877773\pi$
$491$	−20175.1			−1.85436			−0.927179	+	0.374619i	$0.877773\pi$
$492$	−16704.8	+	20947.1i	−1.53071	+	1.91945i
$493$	5015.06	+	2415.13i	0.458148	+	0.220632i
$494$	−2455.02	−	10756.2i	−0.223597	−	0.979641i
$495$	−146.252	−	70.4313i	−0.0132799	−	0.00639525i
$496$	1785.19	−	859.700i	0.161607	−	0.0778260i
$497$	1579.02	+	6986.59i	0.142513	+	0.630566i
$498$	−21689.2	−	10445.0i	−1.95164	−	0.939860i
$499$	−4444.35	−	5573.03i	−0.398710	−	0.499966i	0.541434	−	0.840743i	$-0.317881\pi$
$499$	−4444.35	−	5573.03i	−0.398710	−	0.499966i	−0.940144	+	0.340777i	$0.889310\pi$
$500$	−5715.43	+	2752.41i	−0.511204	+	0.246183i
$501$	−15360.3	+	19261.3i	−1.36976	+	1.71762i
$502$	3859.42	−	16909.2i	0.343136	−	1.50338i
$503$	7726.70	−	9688.97i	0.684923	−	0.858867i	−0.310874	−	0.950451i	$-0.600622\pi$
$503$	7726.70	−	9688.97i	0.684923	−	0.858867i	0.995797	+	0.0915844i	$0.0291931\pi$
$504$	1342.61	+	5940.53i	0.118660	+	0.525025i
$505$	−1712.56	−	2147.48i	−0.150907	−	0.189231i
$506$	−833.409	+	401.349i	−0.0732205	+	0.0352611i
$507$	−8924.87	+	39102.4i	−0.781789	+	3.42524i
$508$	18897.7			1.65049
$509$	15904.7			1.38500			0.692500	−	0.721417i	$-0.256509\pi$
$509$	15904.7			1.38500			0.692500	+	0.721417i	$0.256509\pi$
$510$	832.621	−	3647.95i	0.0722923	−	0.316733i
$511$	7810.52	+	9836.91i	0.676158	+	0.851583i
$512$	1578.36	+	6915.23i	0.136238	+	0.596900i
$513$	−305.220	−	1337.26i	−0.0262686	−	0.115090i
$514$	−1401.34	−	1757.23i	−0.120254	−	0.150794i
$515$	892.452	+	1119.10i	0.0763614	+	0.0957542i
$516$	−7610.28	−	33342.8i	−0.649271	−	2.84464i
$517$	401.505	+	1759.11i	0.0341551	+	0.149643i
$518$	18348.5	+	23108.9i	1.55635	+	1.96013i
$519$	−1788.58	+	7836.30i	−0.151272	+	0.662766i
$520$	3294.36			0.277822
$521$	−3469.67			−0.291764			−0.145882	−	0.989302i	$-0.546602\pi$
$521$	−3469.67			−0.291764			−0.145882	+	0.989302i	$0.546602\pi$
$522$	1943.65	−	8515.71i	0.162972	−	0.714028i
$523$	−16128.2	+	7766.92i	−1.34844	+	0.649376i	−0.962029	−	0.272949i	$-0.912001\pi$
$523$	−16128.2	+	7766.92i	−1.34844	+	0.649376i	−0.386415	+	0.922325i	$0.626287\pi$
$524$	2600.13	+	3260.46i	0.216770	+	0.271821i
$525$	3353.76	+	14839.1i	0.278800	+	1.23359i
$526$	−16299.2	+	20438.6i	−1.35110	+	1.69423i
$527$	1234.60	−	5409.14i	0.102049	−	0.447108i
$528$	317.714	−	398.401i	0.0261870	−	0.0328375i
$529$	8160.25	−	3929.77i	0.670687	−	0.322986i
$530$	2489.35	+	3121.54i	0.204019	+	0.255832i
$531$	−10182.2	−	4903.48i	−0.832145	−	0.400740i
$532$	1326.12	+	5867.59i	0.108073	+	0.478181i
$533$	26986.8	−	12996.2i	2.19311	−	1.05615i
$534$	−3521.05	−	1695.65i	−0.285338	−	0.137412i
$535$	189.242	+	829.124i	0.0152928	+	0.0670022i
$536$	5556.98	+	2676.10i	0.447808	+	0.215653i
$537$	5350.32	−	6709.10i	0.429951	−	0.539141i
$538$	3594.54			0.288051
$539$	−802.507	+	997.580i	−0.0641306	+	0.0797195i
$540$	1283.77			0.102305
$541$	7708.80	−	9666.53i	0.612619	−	0.768200i	−0.374666	−	0.927160i	$-0.622243\pi$
$541$	7708.80	−	9666.53i	0.612619	−	0.768200i	0.987285	+	0.158960i	$0.0508139\pi$
$542$	−26295.5	−	12663.2i	−2.08393	−	1.00357i
$543$	−2359.42	−	10337.3i	−0.186468	−	0.816971i
$544$	11182.4	+	5385.14i	0.881323	+	0.424423i
$545$	−1076.94	+	518.627i	−0.0846441	+	0.0407625i
$546$	11348.2	−	49236.8i	0.889481	−	3.85923i
$547$	9606.83	+	4626.40i	0.750929	+	0.361628i	0.769877	−	0.638192i	$-0.220317\pi$
$547$	9606.83	+	4626.40i	0.750929	+	0.361628i	−0.0189481	+	0.999820i	$0.506032\pi$
$548$	19941.6	+	25006.0i	1.55449	+	1.94927i
$549$	2738.43	−	1318.76i	0.212884	−	0.102520i
$550$	−1242.59	+	1558.16i	−0.0963352	+	0.120800i
$551$	612.482	−	2683.46i	0.0473550	−	0.207476i
$552$	−3959.37	+	4964.89i	−0.305293	+	0.382826i
$553$	−12539.9	−	26.6599i	−0.964288	−	0.00205008i
$554$	−16547.5	−	20749.9i	−1.26902	−	1.59130i
$555$	−4864.50	+	2342.62i	−0.372048	+	0.179169i
$556$	3233.24	−	14165.7i	0.246618	−	1.08051i
$557$	24249.3			1.84466			0.922331	−	0.386401i	$-0.126282\pi$
$557$	24249.3			1.84466			0.922331	+	0.386401i	$0.126282\pi$
$558$	−8706.38			−0.660520
$559$	−8508.07	+	37276.3i	−0.643744	+	2.82043i
$560$	814.549	+	1.73174i	0.0614660	+	0.000130677i
$561$	−317.512	−	1391.11i	−0.0238955	−	0.104693i
$562$	4969.54	+	21773.0i	0.373003	+	1.63423i
$563$	5424.58	+	6802.21i	0.406073	+	0.509199i	0.942252	−	0.334905i	$-0.108704\pi$
$563$	5424.58	+	6802.21i	0.406073	+	0.509199i	−0.536179	+	0.844104i	$0.680133\pi$
$564$	24207.9	+	30355.8i	1.80733	+	2.26633i
$565$	1155.15	+	5061.06i	0.0860135	+	0.376850i
$566$	−1987.59	−	8708.19i	−0.147605	−	0.646700i
$567$	3628.21	−	15741.9i	0.268731	−	1.16596i
$568$	−1433.43	+	6280.25i	−0.105889	+	0.463932i
$569$	10763.3			0.793007			0.396504	−	0.918033i	$-0.370223\pi$
$569$	10763.3			0.793007			0.396504	+	0.918033i	$0.370223\pi$
$570$	−1850.26			−0.135963
$571$	1698.94	−	7443.56i	0.124516	−	0.545540i	−0.873734	−	0.486404i	$-0.838308\pi$
$571$	1698.94	−	7443.56i	0.124516	−	0.545540i	0.998250	−	0.0591359i	$-0.0188345\pi$
$572$	3547.76	−	1708.51i	0.259334	−	0.124889i
$573$	−9780.76	−	12264.7i	−0.713084	−	0.894179i
$574$	−24759.7	+	11858.9i	−1.80044	+	0.862335i
$575$	−4177.48	+	5238.39i	−0.302979	+	0.379923i
$576$	3632.08	−	15913.2i	0.262737	−	1.15113i
$577$	17099.4	−	21441.9i	1.23372	−	1.54703i	0.503141	−	0.864205i	$-0.332178\pi$
$577$	17099.4	−	21441.9i	1.23372	−	1.54703i	0.730578	−	0.682829i	$-0.239251\pi$
$578$	−7153.99	+	3445.18i	−0.514822	+	0.247925i
$579$	−2755.20	−	3454.91i	−0.197758	−	0.247981i
$580$	2321.02	+	1117.74i	0.166164	+	0.0800203i
$581$	−9124.86	−	11492.2i	−0.651571	−	0.820618i
$582$	11771.0	−	5668.61i	0.838357	−	0.403731i
$583$	1371.76	+	660.605i	0.0974486	+	0.0469288i
$584$	2513.64	+	11013.0i	0.178108	+	0.780342i
$585$	3518.36	+	1694.35i	0.248660	+	0.119749i
$586$	−14034.6	+	17598.8i	−0.989357	+	1.24061i
$587$	−5616.82			−0.394942			−0.197471	−	0.980309i	$-0.563273\pi$
$587$	−5616.82			−0.394942			−0.197471	+	0.980309i	$0.563273\pi$
$588$	−6244.60	+	26833.0i	−0.437964	+	1.88193i
$589$	−2743.54			−0.191928
$590$	3493.32	−	4380.49i	0.243759	−	0.305664i
$591$	19497.5	+	9389.52i	1.35706	+	0.653525i
$592$	−1593.02	−	6979.46i	−0.110596	−	0.484551i
$593$	12517.3	+	6028.03i	0.866821	+	0.417439i	0.813794	−	0.581154i	$-0.197399\pi$
$593$	12517.3	+	6028.03i	0.866821	+	0.417439i	0.0530275	+	0.998593i	$0.483113\pi$
$594$	741.429	−	357.053i	0.0512142	−	0.0246634i
$595$	1425.88	−	1780.23i	0.0982447	−	0.122659i
$596$	−25673.9	−	12363.9i	−1.76450	−	0.849740i
$597$	858.732	+	1076.82i	0.0588703	+	0.0738210i
$598$	20049.2	−	9655.19i	1.37102	−	0.660251i
$599$	−15542.2	+	19489.3i	−1.06016	+	1.32940i	−0.118455	+	0.992959i	$0.537794\pi$
$599$	−15542.2	+	19489.3i	−1.06016	+	1.32940i	−0.941705	+	0.336439i	$0.890777\pi$
$600$	−3044.52	+	13338.9i	−0.207153	+	0.907597i
$601$	−12176.6	+	15268.9i	−0.826444	+	1.03633i	0.172241	+	0.985055i	$0.444899\pi$
$601$	−12176.6	+	15268.9i	−0.826444	+	1.03633i	−0.998685	+	0.0512728i	$0.983672\pi$
$602$	7870.60	−	34148.5i	0.532860	−	2.31194i
$603$	4558.46	+	5716.13i	0.307852	+	0.386034i
$604$	5865.02	−	2824.45i	0.395107	−	0.190273i
$605$	−645.540	+	2828.30i	−0.0433801	+	0.190061i
$606$	−37887.4			−2.53972
$607$	22682.1			1.51670			0.758350	−	0.651848i	$-0.226006\pi$
$607$	22682.1			1.51670			0.758350	+	0.651848i	$0.226006\pi$
$608$	1365.69	−	5983.46i	0.0910952	−	0.399114i
$609$	7880.45	−	9838.79i	0.524355	−	0.654660i
$610$	335.306	+	1469.07i	0.0222560	+	0.0975098i
$611$	−9658.94	−	42318.6i	−0.639540	−	2.80201i
$612$	−8085.96	−	10139.5i	−0.534078	−	0.669712i
$613$	466.955	+	585.543i	0.0307669	+	0.0385805i	0.796977	−	0.604010i	$-0.206431\pi$
$613$	466.955	+	585.543i	0.0307669	+	0.0385805i	−0.766210	+	0.642590i	$0.777860\pi$
$614$	−341.547	−	1496.42i	−0.0224491	−	0.0983557i
$615$	−1117.79	−	4897.36i	−0.0732905	−	0.321107i
$616$	−1038.46	+	497.377i	−0.0679230	+	0.0325323i
$617$	−2051.73	+	8989.23i	−0.133873	+	0.586536i	0.862837	+	0.505483i	$0.168686\pi$
$617$	−2051.73	+	8989.23i	−0.133873	+	0.586536i	−0.996710	+	0.0810534i	$0.974172\pi$
$618$	19744.0			1.28514
$619$	−1085.86			−0.0705082			−0.0352541	−	0.999378i	$-0.511224\pi$
$619$	−1085.86			−0.0705082			−0.0352541	+	0.999378i	$0.511224\pi$
$620$	571.385	−	2503.40i	0.0370119	−	0.162160i
$621$	2492.61	−	1200.38i	0.161071	−	0.0775677i
$622$	17538.6	+	21992.7i	1.13060	+	1.41773i
$623$	−1481.34	−	1865.67i	−0.0952627	−	0.119978i
$624$	−7643.20	+	9584.28i	−0.490341	+	0.614869i
$625$	−3077.28	+	13482.4i	−0.196946	+	0.862877i
$626$	12373.8	−	15516.2i	0.790024	−	0.990659i
$627$	−635.704	+	306.139i	−0.0404906	+	0.0194992i
$628$	−6542.24	−	8203.70i	−0.415706	−	0.521279i
$629$	−18061.0	−	8697.70i	−1.14489	−	0.551351i
$630$	−3221.41	−	1559.79i	−0.203721	−	0.0986408i
$631$	4433.07	−	2134.86i	0.279680	−	0.134687i	−0.288786	−	0.957394i	$-0.593252\pi$
$631$	4433.07	−	2134.86i	0.279680	−	0.134687i	0.568466	+	0.822707i	$0.307537\pi$
$632$	−10160.8	−	4893.17i	−0.639515	−	0.307974i
$633$	−4143.90	−	18155.6i	−0.260198	−	1.14000i
$634$	−26261.8	−	12647.0i	−1.64510	−	0.792236i
$635$	−2209.11	+	2770.13i	−0.138056	+	0.173117i
$636$	32762.5			2.04264
$637$	19305.8	−	23998.6i	1.20082	−	1.49272i
$638$	1651.35			0.102473
$639$	−4760.95	+	5970.04i	−0.294742	+	0.369595i
$640$	3766.56	+	1813.88i	0.232635	+	0.112031i
$641$	2964.02	+	12986.2i	0.182639	+	0.800194i	0.980368	+	0.197177i	$0.0631775\pi$
$641$	2964.02	+	12986.2i	0.182639	+	0.800194i	−0.797729	+	0.603016i	$0.793965\pi$
$642$	10569.1	+	5089.79i	0.649731	+	0.312894i
$643$	1361.43	−	655.628i	0.0834983	−	0.0402107i	−0.391669	−	0.920106i	$-0.628102\pi$
$643$	1361.43	−	655.628i	0.0834983	−	0.0402107i	0.475167	+	0.879896i	$0.342388\pi$
$644$	−10942.9	+	5241.20i	−0.669583	+	0.320702i
$645$	5777.20	+	2782.16i	0.352678	+	0.169841i
$646$	−4283.16	−	5370.91i	−0.260865	−	0.327114i
$647$	−11480.0	+	5528.46i	−0.697564	+	0.335929i	−0.748836	−	0.662756i	$-0.769387\pi$
$647$	−11480.0	+	5528.46i	−0.697564	+	0.335929i	0.0512717	+	0.998685i	$0.483673\pi$
$648$	9058.30	−	11358.8i	0.549142	−	0.688602i
$649$	475.437	−	2083.03i	0.0287559	−	0.125988i
$650$	29892.9	−	37484.5i	1.80384	−	2.26194i
$651$	−11308.9	−	5475.72i	−0.680845	−	0.329663i
$652$	8474.67	+	10626.9i	0.509039	+	0.638315i
$653$	−14604.5	+	7033.15i	−0.875219	+	0.421483i	−0.816876	−	0.576813i	$-0.804296\pi$
$653$	−14604.5	+	7033.15i	−0.875219	+	0.421483i	−0.0583429	+	0.998297i	$0.518582\pi$
$654$	−3668.87	+	16074.4i	−0.219364	+	0.961096i
$655$	−781.888			−0.0466426
$656$	6660.55			0.396419
$657$	−2979.63	+	13054.6i	−0.176935	+	0.775204i
$658$	8770.32	+	38805.4i	0.519609	+	2.29907i
$659$	4185.36	+	18337.3i	0.247403	+	1.08394i	0.934104	+	0.357002i	$0.116201\pi$
$659$	4185.36	+	18337.3i	0.247403	+	1.08394i	−0.686701	+	0.726940i	$0.740942\pi$
$660$	−146.948	−	643.819i	−0.00866656	−	0.0379707i
$661$	9404.76	+	11793.2i	0.553408	+	0.693952i	0.977324	−	0.211750i	$-0.0679161\pi$
$661$	9404.76	+	11793.2i	0.553408	+	0.693952i	−0.423916	+	0.905702i	$0.639345\pi$
$662$	−11811.3	−	14810.8i	−0.693440	−	0.869546i
$663$	7638.34	+	33465.7i	0.447433	+	1.96033i
$664$	−2936.63	−	12866.2i	−0.171632	−	0.751967i
$665$	−1015.13	−	491.520i	−0.0591953	−	0.0286622i
$666$	−6999.77	+	30668.0i	−0.407261	+	1.78433i
$667$	5551.69			0.322282
$668$	−42332.7			−2.45195
$669$	−2414.87	+	10580.2i	−0.139558	+	0.611442i
$670$	−3265.71	+	1572.68i	−0.188306	+	0.0906836i
$671$	358.272	+	449.259i	0.0206124	+	0.0258472i
$672$	17571.5	−	21938.1i	1.00868	−	1.25935i
$673$	17310.2	−	21706.3i	0.991468	−	1.24326i	0.0215654	−	0.999767i	$-0.493135\pi$
$673$	17310.2	−	21706.3i	0.991468	−	1.24326i	0.969902	−	0.243494i	$-0.0782936\pi$
$674$	2528.71	−	11079.0i	0.144514	−	0.633157i
$675$	3716.42	−	4660.25i	0.211919	−	0.265738i
$676$	−62093.4	+	29902.6i	−3.53285	+	1.70133i
$677$	1712.18	+	2147.00i	0.0971998	+	0.121885i	0.828053	−	0.560650i	$-0.189449\pi$
$677$	1712.18	+	2147.00i	0.0971998	+	0.121885i	−0.730853	+	0.682535i	$0.760877\pi$
$678$	64514.5	+	31068.6i	3.65437	+	1.75985i
$679$	7963.90	+	16.9313i	0.450113	+	0.000956943i
$680$	1848.12	−	890.009i	0.104224	−	0.0501916i
$681$	−17719.2	−	8533.10i	−0.997063	−	0.480160i
$682$	−366.269	−	1604.73i	−0.0205647	−	0.0901000i
$683$	−19908.5	−	9587.44i	−1.11534	−	0.537120i	−0.216892	−	0.976196i	$-0.569592\pi$
$683$	−19908.5	−	9587.44i	−1.11534	−	0.537120i	−0.898450	+	0.439075i	$0.855306\pi$
$684$	−3998.41	+	5013.85i	−0.223513	+	0.280277i
$685$	−5996.65			−0.334482
$686$	−17741.2	+	21958.0i	−0.987410	+	1.22210i
$687$	−8115.52			−0.450693
$688$	−5301.00	+	6647.24i	−0.293748	+	0.368349i
$689$	−33000.2	−	15892.1i	−1.82469	−	0.878723i
$690$	−830.435	−	3638.38i	−0.0458176	−	0.200740i
$691$	−10291.5	−	4956.11i	−0.566579	−	0.272850i	0.128588	−	0.991698i	$-0.458955\pi$
$691$	−10291.5	−	4956.11i	−0.566579	−	0.272850i	−0.695167	+	0.718848i	$0.744670\pi$
$692$	−12443.8	+	5992.62i	−0.683587	+	0.329198i
$693$	−1364.88	−	2.90174i	−0.0748159	−	0.000159059i
$694$	22434.1	+	10803.7i	1.22707	+	0.590927i
$695$	1698.53	+	2129.89i	0.0927037	+	0.116247i
$696$	10214.0	−	4918.82i	0.556268	−	0.267884i
$697$	11628.4	−	14581.6i	0.631935	−	0.792421i
$698$	−8221.25	+	36019.7i	−0.445815	+	1.95324i
$699$	3140.92	−	3938.58i	0.169958	−	0.213120i
$700$	−16342.4	+	20403.6i	−0.882406	+	1.10169i
$701$	7324.50	+	9184.63i	0.394640	+	0.494863i	0.938965	−	0.344011i	$-0.111786\pi$
$701$	7324.50	+	9184.63i	0.394640	+	0.494863i	−0.544326	+	0.838874i	$0.683214\pi$
$702$	−17836.4	+	8589.58i	−0.958965	+	0.461813i
$703$	−2205.76	+	9664.06i	−0.118338	+	0.518474i
$704$	3085.86			0.165203
$705$	−7279.58			−0.388886
$706$	7190.96	−	31505.7i	0.383336	−	1.67951i
$707$	−20786.5	−	10064.8i	−1.10574	−	0.535395i
$708$	−10230.6	−	44823.2i	−0.543064	−	2.37932i
$709$	4943.76	+	21660.0i	0.261872	+	1.14733i	0.919219	+	0.393746i	$0.128821\pi$
$709$	4943.76	+	21660.0i	0.261872	+	1.14733i	−0.657348	+	0.753588i	$0.728322\pi$
$710$	−2360.33	−	2959.75i	−0.124763	−	0.156447i
$711$	−8335.00	−	10451.8i	−0.439644	−	0.551296i
$712$	−476.736	−	2088.72i	−0.0250933	−	0.109941i
$713$	−1231.36	−	5394.94i	−0.0646771	−	0.283369i
$714$	−6935.61	−	30687.5i	−0.363527	−	1.60847i
$715$	−164.283	+	719.772i	−0.00859279	+	0.0376475i
$716$	14745.4			0.769637
$717$	−7166.00			−0.373248
$718$	−2301.95	+	10085.5i	−0.119649	+	0.524218i
$719$	18476.5	−	8897.80i	0.958354	−	0.461519i	0.111746	−	0.993737i	$-0.464356\pi$
$719$	18476.5	−	8897.80i	0.958354	−	0.461519i	0.846607	+	0.532218i	$0.178641\pi$
$720$	541.412	+	678.910i	0.0280240	+	0.0351409i
$721$	10832.3	+	5244.98i	0.559525	+	0.270920i
$722$	16886.3	−	21174.8i	0.870422	−	1.09147i
$723$	6369.76	−	27907.8i	0.327654	−	1.43555i
$724$	11359.7	−	14244.6i	0.583123	−	0.731213i
$725$	10776.7	−	5189.78i	0.552050	−	0.265853i
$726$	24949.4	+	31285.6i	1.27543	+	1.59934i
$727$	−31946.2	−	15384.5i	−1.62974	−	0.784841i	−0.999968	−	0.00805967i	$-0.997434\pi$
$727$	−31946.2	−	15384.5i	−1.62974	−	0.784841i	−0.629771	−	0.776781i	$-0.716851\pi$
$728$	24982.0	−	11965.3i	1.27183	−	0.609154i
$729$	7265.13	−	3498.70i	0.369107	−	0.177753i
$730$	−5981.09	−	2880.34i	−0.303246	−	0.146036i
$731$	5297.62	+	23210.4i	0.268043	+	1.17437i
$732$	11140.4	+	5364.94i	0.562515	+	0.270893i
$733$	−17995.6	+	22565.8i	−0.906799	+	1.13709i	0.0832731	+	0.996527i	$0.473463\pi$
$733$	−17995.6	+	22565.8i	−0.906799	+	1.13709i	−0.990072	+	0.140563i	$0.955109\pi$
$734$	−905.083			−0.0455139
$735$	−3203.34	−	4052.09i	−0.160758	−	0.203352i
$736$	12378.9			0.619963
$737$	−861.806	+	1080.67i	−0.0430733	+	0.0540122i
$738$	−26368.4	−	12698.4i	−1.31522	−	0.633378i
$739$	−6253.53	−	27398.5i	−0.311286	−	1.36383i	−0.852404	−	0.522884i	$-0.824856\pi$
$739$	−6253.53	−	27398.5i	−0.311286	−	1.36383i	0.541118	−	0.840947i	$-0.318001\pi$
$740$	−8358.79	−	4025.38i	−0.415237	−	0.199967i
$741$	15293.0	−	7364.74i	0.758170	−	0.365115i
$742$	30215.0	+	14630.0i	1.49491	+	0.723832i
$743$	−21073.5	−	10148.5i	−1.04053	−	0.501091i	−0.166029	−	0.986121i	$-0.553094\pi$
$743$	−21073.5	−	10148.5i	−1.04053	−	0.501091i	−0.874498	+	0.485030i	$0.838809\pi$
$744$	−7045.41	−	8834.67i	−0.347174	−	0.435342i
$745$	4813.60	−	2318.11i	0.236720	−	0.113999i
$746$	6281.39	−	7876.62i	0.308282	−	0.386573i
$747$	3481.04	−	15251.4i	0.170501	−	0.747016i
$748$	1528.70	−	1916.93i	0.0747258	−	0.0937032i
$749$	4446.50	+	5600.12i	0.216918	+	0.273196i
$750$	−10228.8	−	12826.6i	−0.498006	−	0.624480i
$751$	29761.4	−	14332.3i	1.44608	−	0.696396i	0.464172	−	0.885745i	$-0.346352\pi$
$751$	29761.4	−	14332.3i	1.44608	−	0.696396i	0.981910	+	0.189349i	$0.0606377\pi$
$752$	2147.82	−	9410.21i	0.104153	−	0.456323i
$753$	26684.0			1.29139
$754$	−39726.3			−1.91876
$755$	−271.587	+	1189.90i	−0.0130915	+	0.0573575i
$756$	9735.19	−	4662.75i	0.468341	−	0.224316i
$757$	−1570.70	−	6881.67i	−0.0754133	−	0.330407i	0.923122	−	0.384507i	$-0.125628\pi$
$757$	−1570.70	−	6881.67i	−0.0754133	−	0.330407i	−0.998536	+	0.0540992i	$0.982771\pi$
$758$	2306.09	+	10103.7i	0.110503	+	0.484144i
$759$	−887.314	−	1112.66i	−0.0424341	−	0.0532106i
$760$	−632.421	−	793.031i	−0.0301846	−	0.0378504i
$761$	3363.43	+	14736.1i	0.160216	+	0.701951i	0.989669	+	0.143374i	$0.0457952\pi$
$761$	3363.43	+	14736.1i	0.160216	+	0.701951i	−0.829453	+	0.558577i	$0.811348\pi$
$762$	10875.2	+	47647.4i	0.517018	+	2.26520i
$763$	−6283.03	+	7844.40i	−0.298114	+	0.372197i
$764$	5998.17	−	26279.7i	0.284039	−	1.24446i
$765$	2431.54			0.114918
$766$	−12004.8			−0.566255
$767$	−11437.5	+	50111.1i	−0.538442	+	2.35907i
$768$	11214.9	−	5400.83i	0.526933	−	0.253758i
$769$	7051.59	+	8842.41i	0.330672	+	0.414650i	0.919177	−	0.393844i	$-0.128855\pi$
$769$	7051.59	+	8842.41i	0.330672	+	0.414650i	−0.588505	+	0.808493i	$0.700283\pi$
$770$	151.974	−	659.377i	0.00711269	−	0.0308601i
$771$	2155.97	−	2703.51i	0.100708	−	0.126283i
$772$	1689.66	−	7402.87i	0.0787721	−	0.345123i
$773$	−4920.41	+	6170.00i	−0.228945	+	0.287088i	−0.883014	−	0.469347i	$-0.844489\pi$
$773$	−4920.41	+	6170.00i	−0.228945	+	0.287088i	0.654068	+	0.756435i	$0.273061\pi$
$774$	33659.1	−	16209.4i	1.56311	−	0.752756i
$775$	−7433.52	−	9321.34i	−0.344542	−	0.432042i
$776$	6452.94	+	3107.57i	0.298514	+	0.143757i
$777$	−28380.2	+	35432.9i	−1.31034	+	1.63597i
$778$	−23089.7	+	11119.4i	−1.06402	+	0.512404i
$779$	−8309.18	−	4001.49i	−0.382166	−	0.184041i
$780$	3535.10	+	15488.3i	0.162278	+	0.710986i
$781$	−1300.66	−	626.367i	−0.0595921	−	0.0286980i
$782$	8639.06	−	10833.0i	0.395054	−	0.495382i
$783$	−4938.97			−0.225421
$784$	6183.22	−	2945.36i	0.281670	−	0.134173i
$785$	1967.32			0.0894480
$786$	−6724.39	+	8432.12i	−0.305154	+	0.382651i
$787$	29744.9	+	14324.4i	1.34726	+	0.648806i	0.961758	−	0.273902i	$-0.0883143\pi$
$787$	29744.9	+	14324.4i	1.34726	+	0.648806i	0.385501	+	0.922707i	$0.374029\pi$
$788$	8274.57	+	36253.3i	0.374073	+	1.63892i
$789$	−36236.5	−	17450.6i	−1.63505	−	0.787399i
$790$	5971.24	−	2875.60i	0.268921	−	0.129505i
$791$	27141.9	+	34183.7i	1.22004	+	1.53658i
$792$	−1105.92	−	532.585i	−0.0496178	−	0.0238947i
$793$	−8618.89	−	10807.7i	−0.385959	−	0.483978i
$794$	47389.7	−	22821.7i	2.11813	−	1.02004i
$795$	−3829.87	+	4802.51i	−0.170857	+	0.214248i
$796$	−526.628	+	2307.31i	−0.0234495	+	0.102739i
$797$	12921.8	−	16203.4i	0.574296	−	0.720144i	−0.406833	−	0.913503i	$-0.633367\pi$
$797$	12921.8	−	16203.4i	0.574296	−	0.720144i	0.981128	+	0.193359i	$0.0619382\pi$
$798$	−14031.0	+	6720.26i	−0.622421	+	0.298113i
$799$	−16851.5	−	21131.1i	−0.746136	−	0.935625i
$800$	24029.4	−	11572.0i	1.06196	−	0.511413i
$801$	565.116	−	2475.94i	0.0249281	−	0.109217i
$802$	−4527.59			−0.199345
$803$	−2531.53			−0.111253
$804$	−6618.49	+	28997.5i	−0.290319	+	1.27197i
$805$	510.922	−	2216.76i	0.0223697	−	0.0970567i
$806$	8811.27	+	38604.7i	0.385067	+	1.68709i
$807$	1230.59	+	5391.57i	0.0536788	+	0.235182i
$808$	−12950.0	−	16238.8i	−0.563835	−	0.707026i
$809$	14698.9	+	18431.9i	0.638797	+	0.801026i	0.990852	−	0.134953i	$-0.0430883\pi$
$809$	14698.9	+	18431.9i	0.638797	+	0.801026i	−0.352055	+	0.935979i	$0.614517\pi$
$810$	1899.88	+	8323.93i	0.0824137	+	0.361078i
$811$	9068.15	+	39730.1i	0.392633	+	1.72024i	0.655314	+	0.755356i	$0.272536\pi$
$811$	9068.15	+	39730.1i	0.392633	+	1.72024i	−0.262681	+	0.964883i	$0.584607\pi$
$812$	21660.6	+	46.0506i	0.936130	+	0.00199022i
$813$	9991.75	−	43776.7i	0.431028	−	1.88846i
$814$	−5947.09			−0.256076
$815$	−2548.43			−0.109531
$816$	−1698.51	+	7441.64i	−0.0728671	+	0.319252i
$817$	10606.6	−	5107.87i	0.454196	−	0.218729i
$818$	−23082.3	−	28944.3i	−0.986619	−	1.23718i
$819$	32834.6	+	69.8067i	1.40090	+	0.00297832i
$820$	5381.75	−	6748.50i	0.229194	−	0.287400i
$821$	−4549.10	+	19930.9i	−0.193380	+	0.847252i	0.781391	+	0.624042i	$0.214511\pi$
$821$	−4549.10	+	19930.9i	−0.193380	+	0.847252i	−0.974770	+	0.223210i	$0.928347\pi$
$822$	−51572.4	+	64669.7i	−2.18831	+	2.74406i
$823$	36355.8	−	17508.0i	1.53983	−	0.741544i	0.544566	−	0.838718i	$-0.316695\pi$
$823$	36355.8	−	17508.0i	1.53983	−	0.741544i	0.995267	+	0.0971738i	$0.0309803\pi$
$824$	6748.52	+	8462.38i	0.285311	+	0.357768i
$825$	−2762.54	−	1330.37i	−0.116581	−	0.0561424i
$826$	10580.6	−	45906.4i	0.445696	−	1.93376i
$827$	−9725.01	+	4683.32i	−0.408914	+	0.196922i	−0.627021	−	0.779002i	$-0.715726\pi$
$827$	−9725.01	+	4683.32i	−0.408914	+	0.196922i	0.218107	+	0.975925i	$0.430012\pi$
$828$	−11653.9	−	5612.21i	−0.489131	−	0.235553i
$829$	−3239.09	−	14191.4i	−0.135704	−	0.594556i	−0.996351	−	0.0853541i	$-0.972798\pi$
$829$	−3239.09	−	14191.4i	−0.135704	−	0.594556i	0.860647	−	0.509202i	$-0.170059\pi$
$830$	6987.58	+	3365.04i	0.292220	+	0.140726i
$831$	25458.4	−	31923.9i	1.06275	−	1.33264i
$832$	−74236.0			−3.09335
$833$	4346.96	−	18678.8i	0.180808	−	0.776930i
$834$	37577.2			1.56018
$835$	4948.62	−	6205.37i	0.205095	−	0.257180i
$836$	−1092.34	−	526.046i	−0.0451908	−	0.0217628i
$837$	1095.46	+	4799.52i	0.0452385	+	0.198203i
$838$	15142.2	+	7292.10i	0.624199	+	0.300599i
$839$	−20404.5	+	9826.28i	−0.839620	+	0.404340i	−0.803714	−	0.595016i	$-0.797146\pi$
$839$	−20404.5	+	9826.28i	−0.839620	+	0.404340i	−0.0359056	+	0.999355i	$0.511432\pi$
$840$	−1024.06	−	4531.10i	−0.0420637	−	0.186116i
$841$	13044.3	+	6281.78i	0.534842	+	0.257566i
$842$	−28766.4	−	36072.0i	−1.17738	−	1.47639i
$843$	−30956.7	+	14908.0i	−1.26478	+	0.609084i
$844$	19951.4	−	25018.2i	0.813690	−	1.02033i
$845$	2875.31	−	12597.6i	0.117058	−	0.512863i
$846$	−26443.6	+	33159.2i	−1.07464	+	1.34756i
$847$	5377.25	+	23792.3i	0.218140	+	0.965188i
$848$	−5078.14	−	6367.79i	−0.205642	−	0.257866i
$849$	12381.2	−	5962.49i	0.500498	−	0.241027i
$850$	6642.92	−	29104.5i	0.268059	−	1.17444i
$851$	−19993.5			−0.805370
$852$	−31064.4			−1.24912
$853$	−612.009	+	2681.39i	−0.0245660	+	0.107631i	−0.985724	−	0.168366i	$-0.946151\pi$
$853$	−612.009	+	2681.39i	−0.0245660	+	0.107631i	0.961159	+	0.275997i	$0.0890080\pi$
$854$	7878.47	+	9922.49i	0.315686	+	0.397589i
$855$	−267.552	−	1172.22i	−0.0107018	−	0.0468878i
$856$	1431.01	+	6269.65i	0.0571388	+	0.250341i
$857$	−11954.5	−	14990.4i	−0.476496	−	0.597507i	0.484252	−	0.874928i	$-0.339092\pi$
$857$	−11954.5	−	14990.4i	−0.476496	−	0.597507i	−0.960748	+	0.277421i	$0.910520\pi$
$858$	6349.37	+	7961.86i	0.252639	+	0.316799i
$859$	−5242.84	−	22970.4i	−0.208246	−	0.912386i	−0.965733	−	0.259536i	$-0.916430\pi$
$859$	−5242.84	−	22970.4i	−0.208246	−	0.912386i	0.757487	−	0.652850i	$-0.226427\pi$
$860$	2451.79	+	10742.0i	0.0972156	+	0.425929i
$861$	−26264.0	−	33078.1i	−1.03958	−	1.30929i
$862$	3247.74	−	14229.3i	0.128328	−	0.562240i
$863$	−17600.4			−0.694236			−0.347118	−	0.937821i	$-0.612840\pi$
$863$	−17600.4			−0.694236			−0.347118	+	0.937821i	$0.612840\pi$
$864$	−11012.7			−0.433634
$865$	576.225	−	2524.61i	0.0226500	−	0.0992361i
$866$	18754.8	−	9031.81i	0.735927	−	0.354404i
$867$	−7616.71	−	9551.05i	−0.298359	−	0.374130i
$868$	−4759.55	−	21059.2i	−0.186117	−	0.823499i
$869$	1575.79	−	1975.97i	0.0615131	−	0.0771350i
$870$	−1482.51	+	6495.29i	−0.0577721	+	0.253116i
$871$	20732.3	−	25997.5i	0.806531	−	1.01136i
$872$	−8143.58	+	3921.74i	−0.316257	+	0.152302i
$873$	5293.43	+	6637.75i	0.205218	+	0.257335i
$874$	−6173.10	−	2972.81i	−0.238911	−	0.115053i
$875$	−2204.58	−	9754.45i	−0.0851754	−	0.376869i
$876$	−49079.6	+	23635.5i	−1.89297	+	0.911608i
$877$	−18971.3	−	9136.12i	−0.730464	−	0.351773i	0.0314027	−	0.999507i	$-0.490003\pi$
$877$	−18971.3	−	9136.12i	−0.730464	−	0.351773i	−0.761867	+	0.647734i	$0.775717\pi$
$878$	15511.1	+	67958.6i	0.596212	+	2.61218i
$879$	−31201.8	−	15026.0i	−1.19728	−	0.576580i
$880$	−102.358	+	128.352i	−0.00392099	+	0.00491677i
$881$	48164.8			1.84190			0.920949	−	0.389682i	$-0.127415\pi$
$881$	48164.8			1.84190			0.920949	+	0.389682i	$0.127415\pi$
$882$	−30094.0	−	127.961i	−1.14889	−	0.00488511i
$883$	−13429.6			−0.511825			−0.255912	−	0.966700i	$-0.582376\pi$
$883$	−13429.6			−0.511825			−0.255912	+	0.966700i	$0.582376\pi$
$884$	−36775.8	+	46115.4i	−1.39921	+	1.75456i
$885$	7766.38	+	3740.09i	0.294988	+	0.142059i
$886$	8337.96	+	36531.0i	0.316162	+	1.38519i
$887$	−12010.9	−	5784.16i	−0.454664	−	0.218955i	0.192513	−	0.981294i	$-0.438336\pi$
$887$	−12010.9	−	5784.16i	−0.454664	−	0.218955i	−0.647177	+	0.762340i	$0.724051\pi$
$888$	−36784.3	+	17714.4i	−1.39009	+	0.669432i
$889$	−6690.93	+	29030.3i	−0.252426	+	1.09521i
$890$	1134.37	+	546.284i	0.0427238	+	0.0205747i
$891$	2030.01	+	2545.55i	0.0763276	+	0.0957118i
$892$	−16801.0	+	8090.96i	−0.630651	+	0.303706i
$893$	−8332.86	+	10449.1i	−0.312261	+	0.391562i
$894$	16398.7	−	71847.6i	0.613485	−	2.68785i
$895$	−1723.71	+	2161.46i	−0.0643767	+	0.0807258i
$896$	35150.9	+	74.7311i	1.31061	+	0.00278637i
$897$	21346.0	+	26767.0i	0.794561	+	0.996348i
$898$	29150.8	−	14038.3i	1.08327	−	0.521674i
$899$	−2198.25	+	9631.14i	−0.0815524	+	0.357304i
$900$	−27868.4			−1.03216
$901$	−22806.4			−0.843277
$902$	1231.22	−	5394.34i	0.0454492	−	0.199126i
$903$	53915.0	+	114.624i	1.98691	+	0.00422418i
$904$	8735.01	+	38270.6i	0.321374	+	1.40803i
$905$	760.130	+	3330.35i	0.0279200	+	0.122325i
$906$	10496.6	+	13162.3i	0.384906	+	0.482657i
$907$	−12436.7	−	15595.1i	−0.455295	−	0.570922i	0.500207	−	0.865906i	$-0.333257\pi$
$907$	−12436.7	−	15595.1i	−0.455295	−	0.570922i	−0.955502	+	0.294984i	$0.904686\pi$
$908$	−7519.84	−	32946.6i	−0.274840	−	1.20415i
$909$	−5478.61	−	24003.3i	−0.199905	−	0.875842i
$910$	−3656.02	+	15862.5i	−0.133182	+	0.577844i
$911$	5086.98	−	22287.5i	0.185004	−	0.810557i	−0.794196	−	0.607662i	$-0.792108\pi$
$911$	5086.98	−	22287.5i	0.185004	−	0.810557i	0.979200	−	0.202896i	$-0.0650352\pi$
$912$	3774.44			0.137044
$913$	2957.53			0.107207
$914$	10156.6	−	44499.1i	0.367562	−	1.61039i
$915$	−2088.72	+	1005.87i	−0.0754654	+	0.0363422i
$916$	−8694.61	−	10902.7i	−0.313622	−	0.393270i
$917$	−5929.26	+	2839.87i	−0.213524	+	0.102269i
$918$	−7685.60	+	9637.44i	−0.276321	+	0.346496i
$919$	982.069	−	4302.73i	0.0352508	−	0.154444i	−0.954239	−	0.299044i	$-0.903332\pi$
$919$	982.069	−	4302.73i	0.0352508	−	0.154444i	0.989490	+	0.144600i	$0.0461895\pi$
$920$	1275.58	−	1599.53i	0.0457117	−	0.0573206i
$921$	2127.59	−	1024.60i	0.0761201	−	0.0366575i
$922$	−3882.84	−	4868.93i	−0.138693	−	0.173915i
$923$	31289.9	+	15068.4i	1.11584	+	0.537360i
$924$	−3452.73	−	4348.52i	−0.122929	−	0.154822i
$925$	−38810.6	+	18690.2i	−1.37955	+	0.664357i
$926$	7734.44	+	3724.71i	0.274481	+	0.132183i
$927$	2855.03	+	12508.7i	0.101156	+	0.443192i
$928$	−19910.6	−	9588.42i	−0.704306	−	0.339176i
$929$	−2797.58	+	3508.06i	−0.0988005	+	0.123892i	−0.828774	−	0.559584i	$-0.810961\pi$
$929$	−2797.58	+	3508.06i	−0.0988005	+	0.123892i	0.729973	+	0.683476i	$0.239532\pi$
$930$	6640.72			0.234148
$931$	−9483.19	−	40.3229i	−0.333834	−	0.00141947i
$932$	8656.29			0.304234
$933$	−26983.3	+	33836.0i	−0.946831	+	1.18729i
$934$	2111.80	+	1016.99i	0.0739830	+	0.0356283i
$935$	102.292	+	448.172i	0.00357788	+	0.0156757i
$936$	26605.1	+	12812.3i	0.929075	+	0.447419i
$937$	24990.6	−	12034.8i	0.871300	−	0.419596i	0.0558605	−	0.998439i	$-0.482210\pi$
$937$	24990.6	−	12034.8i	0.871300	−	0.419596i	0.815439	+	0.578843i	$0.196496\pi$
$938$	−19052.6	+	23787.3i	−0.663209	+	0.828020i
$939$	27509.4	+	13247.8i	0.956056	+	0.460412i
$940$	−7799.03	−	9779.67i	−0.270613	−	0.339338i
$941$	−11746.9	+	5657.02i	−0.406949	+	0.195976i	−0.626149	−	0.779704i	$-0.715370\pi$
$941$	−11746.9	+	5657.02i	−0.406949	+	0.195976i	0.219200	+	0.975680i	$0.429655\pi$
$942$	16919.4	−	21216.2i	0.585204	−	0.733823i
$943$	4139.25	−	18135.2i	0.142940	−	0.626261i
$944$	−7126.21	+	8935.99i	−0.245697	+	0.308095i
$945$	−454.534	+	1972.11i	−0.0156465	+	0.0678864i
$946$	4403.65	+	5522.01i	0.151348	+	0.189784i
$947$	−15468.7	+	7449.31i	−0.530796	+	0.255618i	−0.680030	−	0.733184i	$-0.738033\pi$
$947$	−15468.7	+	7449.31i	−0.530796	+	0.255618i	0.149234	+	0.988802i	$0.452319\pi$
$948$	12101.7	−	53021.0i	0.414605	−	1.81650i
$949$	60900.6			2.08316
$950$	−14762.0			−0.504149
$951$	9978.96	−	43720.7i	0.340263	−	1.49079i
$952$	10782.2	−	13461.7i	0.367073	−	0.458293i
$953$	7072.89	+	30988.3i	0.240413	+	1.05332i	0.940642	+	0.339399i	$0.110224\pi$
$953$	7072.89	+	30988.3i	0.240413	+	1.05332i	−0.700230	+	0.713918i	$0.746919\pi$
$954$	7963.61	+	34890.9i	0.270264	+	1.18410i
$955$	3151.05	+	3951.30i	0.106770	+	0.133886i
$956$	−7677.34	−	9627.07i	−0.259731	−	0.325692i
$957$	565.340	+	2476.92i	0.0190960	+	0.0836650i
$958$	−7918.14	−	34691.7i	−0.267039	−	1.16998i
$959$	−45474.1	+	21780.2i	−1.53122	+	0.733389i
$960$	−2770.34	+	12137.6i	−0.0931378	+	0.408063i
$961$	−19944.2			−0.669471
$962$	143068.			4.79491
$963$	−1696.30	+	7431.96i	−0.0567626	+	0.248693i
$964$	44316.6	−	21341.8i	1.48065	−	0.713042i
$965$	887.637	+	1113.06i	0.0296104	+	0.0371303i
$966$	−19512.2	−	24574.5i	−0.649892	−	0.818502i
$967$	−20243.6	+	25384.7i	−0.673206	+	0.844174i	−0.994709	−	0.102735i	$-0.967241\pi$
$967$	−20243.6	+	25384.7i	−0.673206	+	0.844174i	0.321503	+	0.946909i	$0.395812\pi$
$968$	−4881.43	+	21386.9i	−0.162082	+	0.710126i
$969$	6589.67	−	8263.18i	0.218463	−	0.273944i
$970$	−3792.24	+	1826.25i	−0.125527	+	0.0604508i
$971$	28011.0	+	35124.7i	0.925763	+	1.16087i	0.986671	+	0.162726i	$0.0520287\pi$
$971$	28011.0	+	35124.7i	0.925763	+	1.16087i	−0.0609087	+	0.998143i	$0.519400\pi$
$972$	48944.7	+	23570.5i	1.61513	+	0.777804i
$973$	20616.3	+	9982.35i	0.679270	+	0.328900i
$974$	−1599.84	+	770.444i	−0.0526307	+	0.0253456i
$975$	66458.0	+	32004.5i	2.18293	+	1.05125i
$976$	−684.008	−	2996.83i	−0.0224329	−	0.0982851i
$977$	7144.42	+	3440.57i	0.233951	+	0.112665i	0.547187	−	0.837011i	$-0.315699\pi$
$977$	7144.42	+	3440.57i	0.233951	+	0.112665i	−0.313236	+	0.949675i	$0.601413\pi$
$978$	−21917.0	+	27483.0i	−0.716592	+	0.898578i
$979$	480.130			0.0156742
$980$	2011.81	−	8644.73i	0.0655766	−	0.281781i
$981$	−10714.3			−0.348708
$982$	55899.4	−	70095.6i	1.81652	−	2.27784i
$983$	−37753.7	−	18181.2i	−1.22498	−	0.589919i	−0.294286	−	0.955717i	$-0.595082\pi$
$983$	−37753.7	−	18181.2i	−1.22498	−	0.589919i	−0.930694	+	0.365798i	$0.880796\pi$
$984$	−8452.48	−	37032.8i	−0.273837	−	1.19976i
$985$	−6281.49	−	3025.01i	−0.203193	−	0.0978525i
$986$	−22286.3	+	10732.5i	−0.719818	+	0.346646i
$987$	−55202.9	+	26439.9i	−1.78027	+	0.852676i
$988$	26278.4	+	12655.0i	0.846181	+	0.407499i
$989$	14804.7	+	18564.4i	0.475997	+	0.596881i
$990$	649.926	−	312.988i	0.0208647	−	0.0100479i
$991$	−17003.7	+	21322.0i	−0.545046	+	0.683466i	−0.975715	−	0.219044i	$-0.929706\pi$
$991$	−17003.7	+	21322.0i	−0.545046	+	0.683466i	0.430669	+	0.902510i	$0.358278\pi$
$992$	−4901.55	+	21475.1i	−0.156880	+	0.687334i
$993$	18171.7	−	22786.6i	0.580726	−	0.728207i
$994$	−28649.0	−	13871.7i	−0.914175	−	0.442640i
$995$	−276.656	−	346.916i	−0.00881467	−	0.0110532i
$996$	57338.6	−	27612.8i	1.82414	−	0.878460i
$997$	65.9003	−	288.728i	0.00209336	−	0.00917162i	−0.973870	−	0.227104i	$-0.927074\pi$
$997$	65.9003	−	288.728i	0.00209336	−	0.00917162i	0.975964	+	0.217933i	$0.0699313\pi$
$998$	31676.8			1.00472
$999$	17786.9			0.563317

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	49.4.e.a.43.2	yes	78
49.8	even	7	inner	49.4.e.a.8.2	✓	78
49.20	odd	14		2401.4.a.c.1.5		39
49.29	even	7		2401.4.a.d.1.5		39

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
49.4.e.a.8.2	✓	78	49.8	even	7	inner
49.4.e.a.43.2	yes	78	1.1	even	1	trivial
2401.4.a.c.1.5		39	49.20	odd	14
2401.4.a.d.1.5		39	49.29	even	7

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:	\( N \)	\(=\)	\( 49 = 7^{2} \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	49.e (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-2.77071 + 3.47436i) q^{2} +(-6.15987 - 2.96643i) q^{3} +(-2.61419 - 11.4535i) q^{4} +(1.98451 + 0.955692i) q^{5} +(27.3737 - 13.1825i) q^{6} +(18.5202 + 0.0393741i) q^{7} +(15.0065 + 7.22673i) q^{8} +(12.3100 + 15.4362i) q^{9} +O(q^{10})\)	\(q+(-2.77071 + 3.47436i) q^{2} +(-6.15987 - 2.96643i) q^{3} +(-2.61419 - 11.4535i) q^{4} +(1.98451 + 0.955692i) q^{5} +(27.3737 - 13.1825i) q^{6} +(18.5202 + 0.0393741i) q^{7} +(15.0065 + 7.22673i) q^{8} +(12.3100 + 15.4362i) q^{9} +(-8.81894 + 4.24698i) q^{10} +(-2.32728 + 2.91832i) q^{11} +(-17.8730 + 78.3069i) q^{12} +(55.9871 - 70.2055i) q^{13} +(-51.4510 + 64.2369i) q^{14} +(-9.38934 - 11.7739i) q^{15} +(17.9902 - 8.66363i) q^{16} +(12.4417 - 54.5106i) q^{17} -87.7385 q^{18} -27.6480 q^{19} +(5.75813 - 25.2280i) q^{20} +(-113.965 - 55.1816i) q^{21} +(-3.69107 - 16.1716i) q^{22} +(-12.4090 - 54.3675i) q^{23} +(-71.0001 - 89.0313i) q^{24} +(-74.9113 - 93.9358i) q^{25} +(88.7956 + 389.039i) q^{26} +(11.0395 + 48.3672i) q^{27} +(-47.9644 - 212.224i) q^{28} +(-22.1528 + 97.0578i) q^{29} +66.9219 q^{30} +99.2310 q^{31} +(-49.3954 + 216.415i) q^{32} +(22.9927 - 11.0727i) q^{33} +(154.917 + 194.260i) q^{34} +(36.7160 + 17.7778i) q^{35} +(144.618 - 181.346i) q^{36} +(79.7800 - 349.539i) q^{37} +(76.6048 - 96.0594i) q^{38} +(-553.133 + 266.375i) q^{39} +(22.8740 + 28.6831i) q^{40} +(300.534 + 144.730i) q^{41} +(507.486 - 243.065i) q^{42} +(-383.629 + 184.746i) q^{43} +(39.5089 + 19.0265i) q^{44} +(9.67706 + 42.3980i) q^{45} +(223.274 + 107.523i) q^{46} +(301.391 - 377.932i) q^{47} -136.517 q^{48} +(342.997 + 1.45843i) q^{49} +533.925 q^{50} +(-238.341 + 298.870i) q^{51} +(-950.461 - 457.718i) q^{52} +(-90.7653 - 397.669i) q^{53} +(-198.632 - 95.6563i) q^{54} +(-7.40754 + 3.56728i) q^{55} +(277.638 + 134.431i) q^{56} +(170.308 + 82.0161i) q^{57} +(-275.835 - 345.886i) q^{58} +(-515.719 + 248.357i) q^{59} +(-110.307 + 138.320i) q^{60} +(34.2558 - 150.085i) q^{61} +(-274.941 + 344.765i) q^{62} +(227.376 + 286.367i) q^{63} +(-515.449 - 646.352i) q^{64} +(178.202 - 85.8176i) q^{65} +(-25.2356 + 110.564i) q^{66} +370.306 q^{67} -656.862 q^{68} +(-84.8397 + 371.707i) q^{69} +(-163.496 + 78.3077i) q^{70} +(86.0611 + 377.058i) q^{71} +(73.1757 + 320.604i) q^{72} +(422.856 + 530.245i) q^{73} +(993.378 + 1245.66i) q^{74} +(182.789 + 800.851i) q^{75} +(72.2772 + 316.667i) q^{76} +(-43.2167 + 53.9563i) q^{77} +(607.090 - 2659.83i) q^{78} -677.093 q^{79} +43.9816 q^{80} +(194.098 - 850.397i) q^{81} +(-1335.54 + 643.160i) q^{82} +(-494.014 - 619.474i) q^{83} +(-334.096 + 1449.56i) q^{84} +(76.7860 - 96.2866i) q^{85} +(421.051 - 1844.75i) q^{86} +(424.374 - 532.148i) q^{87} +(-56.0141 + 26.9750i) q^{88} +(-80.1989 - 100.566i) q^{89} +(-174.118 - 83.8510i) q^{90} +(1039.66 - 1298.02i) q^{91} +(-590.259 + 284.254i) q^{92} +(-611.249 - 294.362i) q^{93} +(478.006 + 2094.28i) q^{94} +(-54.8679 - 26.4230i) q^{95} +(946.251 - 1186.56i) q^{96} +430.011 q^{97} +(-955.413 + 1187.66i) q^{98} -73.6966 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 78 q - 5 q^{2} - 5 q^{3} - 53 q^{4} - 23 q^{5} + 19 q^{6} - 31 q^{8} - 174 q^{9}+O(q^{10}) \) 78 * q - 5 * q^2 - 5 * q^3 - 53 * q^4 - 23 * q^5 + 19 * q^6 - 31 * q^8 - 174 * q^9	\( 78 q - 5 q^{2} - 5 q^{3} - 53 q^{4} - 23 q^{5} + 19 q^{6} - 31 q^{8} - 174 q^{9} + 9 q^{10} - 103 q^{11} + 364 q^{12} - 35 q^{13} + 161 q^{14} - 245 q^{15} - 205 q^{16} - 285 q^{17} + 16 q^{18} + 628 q^{19} + 553 q^{20} - 21 q^{21} - 605 q^{22} + 149 q^{23} + 653 q^{24} - 370 q^{25} - 511 q^{26} - 65 q^{27} + 70 q^{28} - 187 q^{29} + 84 q^{30} + 1276 q^{31} + 1399 q^{32} - 23 q^{33} - 765 q^{34} - 805 q^{35} - 1691 q^{36} - 1531 q^{37} - 1041 q^{38} - 1351 q^{39} - 1759 q^{40} - 301 q^{41} + 3395 q^{42} - 257 q^{43} - 883 q^{44} + 3105 q^{45} + 1593 q^{46} + 733 q^{47} - 1948 q^{48} + 1288 q^{49} + 6148 q^{50} + 1197 q^{51} - 1099 q^{52} - 285 q^{53} + 660 q^{54} + 2641 q^{55} - 1988 q^{56} - 2352 q^{57} + 1173 q^{58} - 3603 q^{59} - 175 q^{60} - 2613 q^{61} - 1927 q^{62} - 3066 q^{63} + 1589 q^{64} - 371 q^{65} - 2175 q^{66} + 352 q^{67} + 6076 q^{68} + 5549 q^{69} - 6293 q^{70} - 2623 q^{71} + 6220 q^{72} + 2039 q^{73} - 2411 q^{74} - 3903 q^{75} + 4130 q^{76} + 1029 q^{77} - 3759 q^{78} + 44 q^{79} - 1608 q^{80} + 1394 q^{81} - 10920 q^{82} - 553 q^{83} - 7798 q^{84} + 497 q^{85} - 2985 q^{86} - 4273 q^{87} - 2197 q^{88} - 3957 q^{89} - 2958 q^{90} + 14119 q^{91} - 9136 q^{92} + 6272 q^{93} + 14912 q^{94} + 5866 q^{95} + 21882 q^{96} - 1540 q^{97} - 2303 q^{98} + 10768 q^{99}+O(q^{100}) \) 78 * q - 5 * q^2 - 5 * q^3 - 53 * q^4 - 23 * q^5 + 19 * q^6 - 31 * q^8 - 174 * q^9 + 9 * q^10 - 103 * q^11 + 364 * q^12 - 35 * q^13 + 161 * q^14 - 245 * q^15 - 205 * q^16 - 285 * q^17 + 16 * q^18 + 628 * q^19 + 553 * q^20 - 21 * q^21 - 605 * q^22 + 149 * q^23 + 653 * q^24 - 370 * q^25 - 511 * q^26 - 65 * q^27 + 70 * q^28 - 187 * q^29 + 84 * q^30 + 1276 * q^31 + 1399 * q^32 - 23 * q^33 - 765 * q^34 - 805 * q^35 - 1691 * q^36 - 1531 * q^37 - 1041 * q^38 - 1351 * q^39 - 1759 * q^40 - 301 * q^41 + 3395 * q^42 - 257 * q^43 - 883 * q^44 + 3105 * q^45 + 1593 * q^46 + 733 * q^47 - 1948 * q^48 + 1288 * q^49 + 6148 * q^50 + 1197 * q^51 - 1099 * q^52 - 285 * q^53 + 660 * q^54 + 2641 * q^55 - 1988 * q^56 - 2352 * q^57 + 1173 * q^58 - 3603 * q^59 - 175 * q^60 - 2613 * q^61 - 1927 * q^62 - 3066 * q^63 + 1589 * q^64 - 371 * q^65 - 2175 * q^66 + 352 * q^67 + 6076 * q^68 + 5549 * q^69 - 6293 * q^70 - 2623 * q^71 + 6220 * q^72 + 2039 * q^73 - 2411 * q^74 - 3903 * q^75 + 4130 * q^76 + 1029 * q^77 - 3759 * q^78 + 44 * q^79 - 1608 * q^80 + 1394 * q^81 - 10920 * q^82 - 553 * q^83 - 7798 * q^84 + 497 * q^85 - 2985 * q^86 - 4273 * q^87 - 2197 * q^88 - 3957 * q^89 - 2958 * q^90 + 14119 * q^91 - 9136 * q^92 + 6272 * q^93 + 14912 * q^94 + 5866 * q^95 + 21882 * q^96 - 1540 * q^97 - 2303 * q^98 + 10768 * q^99

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