LMFDB - Embedded newform 74.4.f.b.71.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [74,4,Mod(7,74)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(74, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([16]))

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

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

chi := DirichletCharacter("74.7");

S:= CuspForms(chi, 4);

N := Newforms(S);

Level:	$ N $	$=$	$ 74 = 2 \cdot 37 $
Weight:	$ k $	$=$	$ 4 $
Character orbit:	$[\chi]$	$=$	74.f (of order $9$, 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:	$4.36614134042$
Analytic rank:	$0$
Dimension:	$30$
Relative dimension:	$5$ over $\Q(\zeta_{9})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			71.2
Character	$\chi$	$=$	74.71
Dual form			74.4.f.b.49.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.53209 + 1.28558i) q^{2} +(-2.66631 + 2.23730i) q^{3} +(0.694593 + 3.93923i) q^{4} +(-17.8476 - 6.49601i) q^{5} -6.96124 q^{6} +(-11.9434 - 4.34706i) q^{7} +(-4.00000 + 6.92820i) q^{8} +(-2.58480 + 14.6591i) q^{9} +O(q^{10})$	\(q+(1.53209 + 1.28558i) q^{2} +(-2.66631 + 2.23730i) q^{3} +(0.694593 + 3.93923i) q^{4} +(-17.8476 - 6.49601i) q^{5} -6.96124 q^{6} +(-11.9434 - 4.34706i) q^{7} +(-4.00000 + 6.92820i) q^{8} +(-2.58480 + 14.6591i) q^{9} +(-18.9931 - 32.8969i) q^{10} +(8.70606 - 15.0793i) q^{11} +(-10.6652 - 8.94920i) q^{12} +(1.74549 + 9.89915i) q^{13} +(-12.7099 - 22.0143i) q^{14} +(62.1209 - 22.6101i) q^{15} +(-15.0351 + 5.47232i) q^{16} +(-3.12015 + 17.6953i) q^{17} +(-22.8056 + 19.1361i) q^{18} +(-113.552 + 95.2818i) q^{19} +(13.1924 - 74.8180i) q^{20} +(41.5706 - 15.1305i) q^{21} +(32.7241 - 11.9106i) q^{22} +(19.8475 + 34.3769i) q^{23} +(-4.83523 - 27.4219i) q^{24} +(180.584 + 151.528i) q^{25} +(-10.0519 + 17.4103i) q^{26} +(-72.8934 - 126.255i) q^{27} +(8.82823 - 50.0674i) q^{28} +(38.7705 - 67.1525i) q^{29} +(124.242 + 45.2203i) q^{30} +23.0044 q^{31} +(-30.0702 - 10.9446i) q^{32} +(10.5239 + 59.6843i) q^{33} +(-27.5290 + 23.0995i) q^{34} +(184.924 + 155.169i) q^{35} -59.5411 q^{36} +(78.2232 + 211.031i) q^{37} -296.464 q^{38} +(-26.8014 - 22.4890i) q^{39} +(116.396 - 97.6680i) q^{40} +(-55.2449 - 313.310i) q^{41} +(83.1412 + 30.2609i) q^{42} -232.333 q^{43} +(65.4482 + 23.8212i) q^{44} +(141.358 - 244.840i) q^{45} +(-13.7859 + 78.1840i) q^{46} +(210.436 + 364.486i) q^{47} +(27.8450 - 48.2289i) q^{48} +(-139.004 - 116.639i) q^{49} +(81.8703 + 464.310i) q^{50} +(-31.2703 - 54.1618i) q^{51} +(-37.7826 + 13.7518i) q^{52} +(398.264 - 144.956i) q^{53} +(50.6312 - 287.144i) q^{54} +(-253.338 + 212.576i) q^{55} +(77.8910 - 65.3583i) q^{56} +(89.5921 - 508.102i) q^{57} +(145.729 - 53.0412i) q^{58} +(-610.887 + 222.345i) q^{59} +(132.215 + 229.004i) q^{60} +(-52.4813 - 297.636i) q^{61} +(35.2448 + 29.5739i) q^{62} +(94.5955 - 163.844i) q^{63} +(-32.0000 - 55.4256i) q^{64} +(33.1521 - 188.015i) q^{65} +(-60.6050 + 104.971i) q^{66} +(-754.228 - 274.517i) q^{67} -71.8730 q^{68} +(-129.831 - 47.2547i) q^{69} +(83.8376 + 475.467i) q^{70} +(-234.195 + 196.513i) q^{71} +(-91.2223 - 76.5446i) q^{72} -994.976 q^{73} +(-151.451 + 423.880i) q^{74} -820.509 q^{75} +(-454.210 - 381.127i) q^{76} +(-169.531 + 142.253i) q^{77} +(-12.1508 - 68.9104i) q^{78} +(698.816 + 254.348i) q^{79} +303.889 q^{80} +(99.1621 + 36.0920i) q^{81} +(318.143 - 551.040i) q^{82} +(-75.2616 + 426.830i) q^{83} +(88.4770 + 153.247i) q^{84} +(170.636 - 295.550i) q^{85} +(-355.955 - 298.682i) q^{86} +(46.8661 + 265.791i) q^{87} +(69.6485 + 120.635i) q^{88} +(1110.61 - 404.227i) q^{89} +(531.334 - 193.390i) q^{90} +(22.1850 - 125.818i) q^{91} +(-121.633 + 102.062i) q^{92} +(-61.3370 + 51.4678i) q^{93} +(-146.167 + 828.956i) q^{94} +(2645.60 - 962.918i) q^{95} +(104.663 - 38.0942i) q^{96} +(912.860 + 1581.12i) q^{97} +(-63.0195 - 357.401i) q^{98} +(198.547 + 166.600i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 30 q + 6 q^{3} - 6 q^{5} - 36 q^{6} - 75 q^{7} - 120 q^{8} - 48 q^{9}+O(q^{10}) $ 30 * q + 6 * q^3 - 6 * q^5 - 36 * q^6 - 75 * q^7 - 120 * q^8 - 48 * q^9	\( 30 q + 6 q^{3} - 6 q^{5} - 36 q^{6} - 75 q^{7} - 120 q^{8} - 48 q^{9} + 54 q^{10} - 21 q^{11} + 24 q^{12} - 159 q^{13} + 6 q^{14} - 69 q^{15} - 171 q^{17} + 192 q^{18} - 45 q^{19} - 24 q^{20} + 579 q^{21} + 42 q^{22} + 459 q^{23} + 48 q^{24} - 204 q^{25} + 264 q^{26} + 435 q^{27} + 96 q^{28} + 273 q^{29} - 138 q^{30} - 258 q^{31} - 318 q^{33} - 558 q^{34} - 753 q^{35} + 1296 q^{36} - 891 q^{37} - 2556 q^{38} - 504 q^{39} + 96 q^{40} + 648 q^{41} + 1158 q^{42} - 216 q^{43} + 84 q^{44} + 1731 q^{45} - 6 q^{46} + 48 q^{47} + 144 q^{48} + 1731 q^{49} + 240 q^{50} + 972 q^{51} + 48 q^{52} - 135 q^{53} + 360 q^{54} + 765 q^{55} + 408 q^{56} - 405 q^{57} - 762 q^{58} + 1836 q^{59} + 108 q^{60} - 684 q^{61} - 204 q^{62} - 3264 q^{63} - 960 q^{64} - 1350 q^{65} + 252 q^{66} + 1095 q^{67} - 432 q^{68} - 5823 q^{69} - 1146 q^{70} + 4179 q^{71} + 768 q^{72} - 2658 q^{73} - 1692 q^{74} - 10416 q^{75} - 180 q^{76} + 267 q^{77} + 1530 q^{78} + 4866 q^{79} - 864 q^{80} - 2076 q^{81} + 1800 q^{82} - 186 q^{83} + 504 q^{84} + 753 q^{85} + 648 q^{86} - 525 q^{87} - 168 q^{88} + 687 q^{89} + 768 q^{90} + 3990 q^{91} + 132 q^{92} + 3753 q^{93} + 6210 q^{94} + 9000 q^{95} - 384 q^{96} + 7428 q^{97} - 1542 q^{98} + 6324 q^{99}+O(q^{100}) \) 30 * q + 6 * q^3 - 6 * q^5 - 36 * q^6 - 75 * q^7 - 120 * q^8 - 48 * q^9 + 54 * q^10 - 21 * q^11 + 24 * q^12 - 159 * q^13 + 6 * q^14 - 69 * q^15 - 171 * q^17 + 192 * q^18 - 45 * q^19 - 24 * q^20 + 579 * q^21 + 42 * q^22 + 459 * q^23 + 48 * q^24 - 204 * q^25 + 264 * q^26 + 435 * q^27 + 96 * q^28 + 273 * q^29 - 138 * q^30 - 258 * q^31 - 318 * q^33 - 558 * q^34 - 753 * q^35 + 1296 * q^36 - 891 * q^37 - 2556 * q^38 - 504 * q^39 + 96 * q^40 + 648 * q^41 + 1158 * q^42 - 216 * q^43 + 84 * q^44 + 1731 * q^45 - 6 * q^46 + 48 * q^47 + 144 * q^48 + 1731 * q^49 + 240 * q^50 + 972 * q^51 + 48 * q^52 - 135 * q^53 + 360 * q^54 + 765 * q^55 + 408 * q^56 - 405 * q^57 - 762 * q^58 + 1836 * q^59 + 108 * q^60 - 684 * q^61 - 204 * q^62 - 3264 * q^63 - 960 * q^64 - 1350 * q^65 + 252 * q^66 + 1095 * q^67 - 432 * q^68 - 5823 * q^69 - 1146 * q^70 + 4179 * q^71 + 768 * q^72 - 2658 * q^73 - 1692 * q^74 - 10416 * q^75 - 180 * q^76 + 267 * q^77 + 1530 * q^78 + 4866 * q^79 - 864 * q^80 - 2076 * q^81 + 1800 * q^82 - 186 * q^83 + 504 * q^84 + 753 * q^85 + 648 * q^86 - 525 * q^87 - 168 * q^88 + 687 * q^89 + 768 * q^90 + 3990 * q^91 + 132 * q^92 + 3753 * q^93 + 6210 * q^94 + 9000 * q^95 - 384 * q^96 + 7428 * q^97 - 1542 * q^98 + 6324 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/74\mathbb{Z}\right)^\times$.

$n$	$39$
$\chi(n)$	$e\left(\frac{2}{9}\right)$

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 $

$2$	1.53209	+	1.28558i	0.541675	+	0.454519i
$2$	1.53209	+	1.28558i	0.541675	+	0.454519i
$3$	−2.66631	+	2.23730i	−0.513132	+	0.430569i	−0.862230	−	0.506518i	$-0.830933\pi$
$3$	−2.66631	+	2.23730i	−0.513132	+	0.430569i	0.349098	+	0.937086i	$0.386488\pi$
$4$	0.694593	+	3.93923i	0.0868241	+	0.492404i
$5$	−17.8476	−	6.49601i	−1.59634	−	0.581021i	−0.617667	−	0.786440i	$-0.711922\pi$
$5$	−17.8476	−	6.49601i	−1.59634	−	0.581021i	−0.978674	+	0.205419i	$0.934144\pi$
$6$	−6.96124			−0.473653
$7$	−11.9434	−	4.34706i	−0.644885	−	0.234719i	−0.00118793	−	0.999999i	$-0.500378\pi$
$7$	−11.9434	−	4.34706i	−0.644885	−	0.234719i	−0.643697	+	0.765280i	$0.722600\pi$
$8$	−4.00000	+	6.92820i	−0.176777	+	0.306186i
$9$	−2.58480	+	14.6591i	−0.0957334	+	0.542931i
$10$	−18.9931	−	32.8969i	−0.600613	−	1.04029i
$11$	8.70606	−	15.0793i	0.238634	−	0.413327i	−0.721688	−	0.692218i	$-0.756634\pi$
$11$	8.70606	−	15.0793i	0.238634	−	0.413327i	0.960323	+	0.278891i	$0.0899670\pi$
$12$	−10.6652	−	8.94920i	−0.256566	−	0.215284i
$13$	1.74549	+	9.89915i	0.0372393	+	0.211195i	0.997750	−	0.0670497i	$-0.0213586\pi$
$13$	1.74549	+	9.89915i	0.0372393	+	0.211195i	−0.960510	+	0.278244i	$0.910248\pi$
$14$	−12.7099	−	22.0143i	−0.242634	−	0.420254i
$15$	62.1209	−	22.6101i	1.06930	−	0.389194i
$16$	−15.0351	+	5.47232i	−0.234923	+	0.0855050i
$17$	−3.12015	+	17.6953i	−0.0445146	+	0.252455i	−0.998942	−	0.0459884i	$-0.985356\pi$
$17$	−3.12015	+	17.6953i	−0.0445146	+	0.252455i	0.954427	+	0.298443i	$0.0964674\pi$
$18$	−22.8056	+	19.1361i	−0.298629	+	0.250580i
$19$	−113.552	+	95.2818i	−1.37109	+	1.15048i	−0.398711	+	0.917076i	$0.630542\pi$
$19$	−113.552	+	95.2818i	−1.37109	+	1.15048i	−0.972380	+	0.233405i	$0.925013\pi$
$20$	13.1924	−	74.8180i	0.147496	−	0.836491i
$21$	41.5706	−	15.1305i	0.431974	−	0.157226i
$22$	32.7241	−	11.9106i	0.317127	−	0.115425i
$23$	19.8475	+	34.3769i	0.179935	+	0.311656i	0.941858	−	0.336011i	$-0.109078\pi$
$23$	19.8475	+	34.3769i	0.179935	+	0.311656i	−0.761923	+	0.647667i	$0.775745\pi$
$24$	−4.83523	−	27.4219i	−0.0411245	−	0.233228i
$25$	180.584	+	151.528i	1.44468	+	1.21223i
$26$	−10.0519	+	17.4103i	−0.0758205	+	0.131325i
$27$	−72.8934	−	126.255i	−0.519568	−	0.899918i
$28$	8.82823	−	50.0674i	0.0595850	−	0.337923i
$29$	38.7705	−	67.1525i	0.248259	−	0.429997i	−0.714784	−	0.699345i	$-0.753475\pi$
$29$	38.7705	−	67.1525i	0.248259	−	0.429997i	0.963043	+	0.269349i	$0.0868084\pi$
$30$	124.242	+	45.2203i	0.756111	+	0.275202i
$31$	23.0044			0.133281			0.0666406	−	0.997777i	$-0.478772\pi$
$31$	23.0044			0.133281			0.0666406	+	0.997777i	$0.478772\pi$
$32$	−30.0702	−	10.9446i	−0.166116	−	0.0604612i
$33$	10.5239	+	59.6843i	0.0555147	+	0.314839i
$34$	−27.5290	+	23.0995i	−0.138858	+	0.116516i
$35$	184.924	+	155.169i	0.893080	+	0.749383i
$36$	−59.5411			−0.275653
$37$	78.2232	+	211.031i	0.347563	+	0.937657i
$37$	78.2232	+	211.031i	0.347563	+	0.937657i
$38$	−296.464			−1.26560
$39$	−26.8014	−	22.4890i	−0.110042	−	0.0923366i
$40$	116.396	−	97.6680i	0.460096	−	0.386067i
$41$	−55.2449	−	313.310i	−0.210434	−	1.19343i	−0.888656	−	0.458575i	$-0.848360\pi$
$41$	−55.2449	−	313.310i	−0.210434	−	1.19343i	0.678221	−	0.734858i	$-0.262751\pi$
$42$	83.1412	+	30.2609i	0.305451	+	0.111175i
$43$	−232.333			−0.823964			−0.411982	−	0.911192i	$-0.635163\pi$
$43$	−232.333			−0.823964			−0.411982	+	0.911192i	$0.635163\pi$
$44$	65.4482	+	23.8212i	0.224243	+	0.0816177i
$45$	141.358	−	244.840i	0.468277	−	0.811080i
$46$	−13.7859	+	78.1840i	−0.0441875	+	0.250600i
$47$	210.436	+	364.486i	0.653090	+	1.13119i	0.982369	+	0.186953i	$0.0598612\pi$
$47$	210.436	+	364.486i	0.653090	+	1.13119i	−0.329278	+	0.944233i	$0.606805\pi$
$48$	27.8450	−	48.2289i	0.0837307	−	0.145026i
$49$	−139.004	−	116.639i	−0.405261	−	0.340054i
$50$	81.8703	+	464.310i	0.231564	+	1.31327i
$51$	−31.2703	−	54.1618i	−0.0858573	−	0.148709i
$52$	−37.7826	+	13.7518i	−0.100760	+	0.0366736i
$53$	398.264	−	144.956i	1.03218	−	0.375684i	0.230272	−	0.973126i	$-0.426038\pi$
$53$	398.264	−	144.956i	1.03218	−	0.375684i	0.801912	+	0.597442i	$0.203816\pi$
$54$	50.6312	−	287.144i	0.127593	−	0.723617i
$55$	−253.338	+	212.576i	−0.621093	+	0.521159i
$56$	77.8910	−	65.3583i	0.185868	−	0.155962i
$57$	89.5921	−	508.102i	0.208189	−	1.18070i
$58$	145.729	−	53.0412i	0.329917	−	0.120080i
$59$	−610.887	+	222.345i	−1.34798	+	0.490624i	−0.912316	−	0.409487i	$-0.865708\pi$
$59$	−610.887	+	222.345i	−1.34798	+	0.490624i	−0.435661	+	0.900111i	$0.643485\pi$
$60$	132.215	+	229.004i	0.284482	+	0.492737i
$61$	−52.4813	−	297.636i	−0.110156	−	0.624728i	−0.989035	−	0.147682i	$-0.952819\pi$
$61$	−52.4813	−	297.636i	−0.110156	−	0.624728i	0.878879	−	0.477046i	$-0.158292\pi$
$62$	35.2448	+	29.5739i	0.0721951	+	0.0605789i
$63$	94.5955	−	163.844i	0.189173	−	0.327658i
$64$	−32.0000	−	55.4256i	−0.0625000	−	0.108253i
$65$	33.1521	−	188.015i	0.0632618	−	0.358775i
$66$	−60.6050	+	104.971i	−0.113030	+	0.195773i
$67$	−754.228	−	274.517i	−1.37528	−	0.500560i	−0.454535	−	0.890729i	$-0.650195\pi$
$67$	−754.228	−	274.517i	−1.37528	−	0.500560i	−0.920744	+	0.390168i	$0.872417\pi$
$68$	−71.8730			−0.128175
$69$	−129.831	−	47.2547i	−0.226519	−	0.0824463i
$70$	83.8376	+	475.467i	0.143150	+	0.811845i
$71$	−234.195	+	196.513i	−0.391462	+	0.328476i	−0.817182	−	0.576379i	$-0.804465\pi$
$71$	−234.195	+	196.513i	−0.391462	+	0.328476i	0.425720	+	0.904855i	$0.360021\pi$
$72$	−91.2223	−	76.5446i	−0.149315	−	0.125290i
$73$	−994.976			−1.59525			−0.797624	−	0.603155i	$-0.793910\pi$
$73$	−994.976			−1.59525			−0.797624	+	0.603155i	$0.793910\pi$
$74$	−151.451	+	423.880i	−0.237917	+	0.665879i
$75$	−820.509			−1.26326
$76$	−454.210	−	381.127i	−0.685545	−	0.575241i
$77$	−169.531	+	142.253i	−0.250907	+	0.210536i
$78$	−12.1508	−	68.9104i	−0.0176385	−	0.100033i
$79$	698.816	+	254.348i	0.995227	+	0.362233i	0.787742	−	0.616005i	$-0.211250\pi$
$79$	698.816	+	254.348i	0.995227	+	0.362233i	0.207485	+	0.978238i	$0.433472\pi$
$80$	303.889			0.424698
$81$	99.1621	+	36.0920i	0.136025	+	0.0495090i
$82$	318.143	−	551.040i	0.428451	−	0.742099i
$83$	−75.2616	+	426.830i	−0.0995305	+	0.564466i	0.893734	+	0.448597i	$0.148076\pi$
$83$	−75.2616	+	426.830i	−0.0995305	+	0.564466i	−0.993265	+	0.115868i	$0.963035\pi$
$84$	88.4770	+	153.247i	0.114924	+	0.199055i
$85$	170.636	−	295.550i	0.217742	−	0.377140i
$86$	−355.955	−	298.682i	−0.446321	−	0.374508i
$87$	46.8661	+	265.791i	0.0577537	+	0.327537i
$88$	69.6485	+	120.635i	0.0843699	+	0.146133i
$89$	1110.61	−	404.227i	1.32274	−	0.481438i	0.418405	−	0.908261i	$-0.362589\pi$
$89$	1110.61	−	404.227i	1.32274	−	0.481438i	0.904335	+	0.426822i	$0.140367\pi$
$90$	531.334	−	193.390i	0.622306	−	0.226501i
$91$	22.1850	−	125.818i	0.0255563	−	0.144937i
$92$	−121.633	+	102.062i	−0.137838	+	0.115660i
$93$	−61.3370	+	51.4678i	−0.0683908	+	0.0573867i
$94$	−146.167	+	828.956i	−0.160383	+	0.909578i
$95$	2645.60	−	962.918i	2.85718	−	1.03993i
$96$	104.663	−	38.0942i	0.111272	−	0.0404997i
$97$	912.860	+	1581.12i	0.955535	+	1.65504i	0.733139	+	0.680079i	$0.238055\pi$
$97$	912.860	+	1581.12i	0.955535	+	1.65504i	0.222397	+	0.974956i	$0.428612\pi$
$98$	−63.0195	−	357.401i	−0.0649585	−	0.368398i
$99$	198.547	+	166.600i	0.201563	+	0.169131i
$100$	−471.473	+	816.614i	−0.471473	+	0.816614i
$101$	−887.152	−	1536.59i	−0.874009	−	1.51383i	−0.857814	−	0.513960i	$-0.828178\pi$
$101$	−887.152	−	1536.59i	−0.874009	−	1.51383i	−0.0161953	−	0.999869i	$-0.505155\pi$
$102$	21.7201	−	123.181i	0.0210845	−	0.119576i
$103$	−673.842	+	1167.13i	−0.644618	+	1.11651i	0.339772	+	0.940508i	$0.389650\pi$
$103$	−673.842	+	1167.13i	−0.644618	+	1.11651i	−0.984390	+	0.176003i	$0.943683\pi$
$104$	−75.5653	−	27.5035i	−0.0712479	−	0.0259321i
$105$	−840.224			−0.780929
$106$	796.528	+	289.912i	0.729864	+	0.265649i
$107$	−162.454	−	921.320i	−0.146775	−	0.832405i	−0.965924	−	0.258824i	$-0.916665\pi$
$107$	−162.454	−	921.320i	−0.146775	−	0.832405i	0.819149	−	0.573581i	$-0.194446\pi$
$108$	446.717	−	374.840i	0.398012	−	0.333972i
$109$	1312.12	+	1101.00i	1.15301	+	0.967492i	0.999786	−	0.0206995i	$-0.00658933\pi$
$109$	1312.12	+	1101.00i	1.15301	+	0.967492i	0.153226	+	0.988191i	$0.451034\pi$
$110$	−661.419			−0.573307
$111$	−680.707	−	387.666i	−0.582071	−	0.331492i
$112$	203.359			0.171568
$113$	1186.29	+	995.416i	0.987582	+	0.828680i	0.985216	−	0.171317i	$-0.0548023\pi$
$113$	1186.29	+	995.416i	0.987582	+	0.828680i	0.00236644	+	0.999997i	$0.499247\pi$
$114$	790.466	−	663.280i	0.649421	−	0.544929i
$115$	−130.919	−	742.476i	−0.106158	−	0.602055i
$116$	291.459	+	106.082i	0.233287	+	0.0849095i
$117$	−149.625			−0.118229
$118$	−1221.77	−	444.689i	−0.953164	−	0.346923i
$119$	114.188	−	197.779i	0.0879628	−	0.152356i
$120$	−91.8358	+	520.827i	−0.0698618	+	0.396206i
$121$	513.909	+	890.116i	0.386107	+	0.668758i
$122$	302.228	−	523.474i	0.224282	−	0.388468i
$123$	848.268	+	711.781i	0.621835	+	0.521782i
$124$	15.9787	+	90.6198i	0.0115720	+	0.0656282i
$125$	−1051.61	−	1821.44i	−0.752471	−	1.30332i
$126$	355.563	−	129.414i	0.251397	−	0.0915011i
$127$	−1330.55	+	484.280i	−0.929663	+	0.338370i	−0.762076	−	0.647488i	$-0.775820\pi$
$127$	−1330.55	+	484.280i	−0.929663	+	0.338370i	−0.167587	+	0.985857i	$0.553597\pi$
$128$	22.2270	−	126.055i	0.0153485	−	0.0870455i
$129$	619.472	−	519.799i	0.422802	−	0.354773i
$130$	292.500	−	245.436i	0.197338	−	0.165586i
$131$	107.032	−	607.009i	0.0713850	−	0.404844i	−0.928087	−	0.372363i	$-0.878548\pi$
$131$	107.032	−	607.009i	0.0713850	−	0.404844i	0.999472	−	0.0324818i	$-0.0103411\pi$
$132$	−227.800	+	82.9125i	−0.150208	+	0.0546713i
$133$	1770.40	−	644.374i	1.15424	−	0.420108i
$134$	−802.633	−	1390.20i	−0.517440	−	0.896232i
$135$	480.821	+	2726.87i	0.306537	+	1.73846i
$136$	−110.116	−	92.3981i	−0.0694291	−	0.0582579i
$137$	−594.952	+	1030.49i	−0.371023	+	0.642631i	−0.989723	−	0.142996i	$-0.954326\pi$
$137$	−594.952	+	1030.49i	−0.371023	+	0.642631i	0.618700	+	0.785627i	$0.287660\pi$
$138$	−138.163	−	239.306i	−0.0852264	−	0.147617i
$139$	−151.924	+	861.606i	−0.0927054	+	0.525759i	0.902721	+	0.430227i	$0.141566\pi$
$139$	−151.924	+	861.606i	−0.0927054	+	0.525759i	−0.995426	+	0.0955320i	$0.969545\pi$
$140$	−482.801	+	836.236i	−0.291458	+	0.504821i
$141$	−1376.55	−	501.024i	−0.822175	−	0.299247i
$142$	−611.439			−0.361344
$143$	164.469	+	59.8618i	0.0961789	+	0.0350063i
$144$	−41.3568	−	234.546i	−0.0239333	−	0.135733i
$145$	−1128.19	+	946.660i	−0.646143	+	0.542178i
$146$	−1524.39	−	1279.12i	−0.864106	−	0.725071i
$147$	631.584			0.354369
$148$	−776.967	+	454.720i	−0.431529	+	0.252552i
$149$	−469.821			−0.258317			−0.129158	−	0.991624i	$-0.541228\pi$
$149$	−469.821			−0.258317			−0.129158	+	0.991624i	$0.541228\pi$
$150$	−1257.09	−	1054.83i	−0.684274	−	0.574174i
$151$	146.323	−	122.779i	0.0788581	−	0.0661698i	−0.602507	−	0.798114i	$-0.705831\pi$
$151$	146.323	−	122.779i	0.0788581	−	0.0661698i	0.681365	+	0.731944i	$0.261387\pi$
$152$	−205.922	−	1167.84i	−0.109885	−	0.623188i
$153$	−251.332	−	91.4775i	−0.132804	−	0.0483367i
$154$	−442.614			−0.231603
$155$	−410.575	−	149.437i	−0.212762	−	0.0774392i
$156$	69.9734	−	121.198i	0.0359126	−	0.0622024i
$157$	−188.435	+	1068.67i	−0.0957884	+	0.543243i	0.898714	+	0.438534i	$0.144502\pi$
$157$	−188.435	+	1068.67i	−0.0957884	+	0.543243i	−0.994503	+	0.104709i	$0.966609\pi$
$158$	743.664	+	1288.06i	0.374448	+	0.648562i
$159$	−737.585	+	1277.53i	−0.367889	+	0.637202i
$160$	465.585	+	390.672i	0.230048	+	0.193033i
$161$	−87.6093	−	496.857i	−0.0428856	−	0.243216i
$162$	105.526	+	182.777i	0.0511785	+	0.0886437i
$163$	−3571.14	+	1299.79i	−1.71603	+	0.624585i	−0.997484	−	0.0708909i	$-0.977416\pi$
$163$	−3571.14	+	1299.79i	−1.71603	+	0.624585i	−0.718549	+	0.695476i	$0.755194\pi$
$164$	1195.83	−	435.245i	0.569380	−	0.207237i
$165$	199.882	−	1133.59i	0.0943078	−	0.534846i
$166$	−664.029	+	557.187i	−0.310474	+	0.260518i
$167$	−788.658	+	661.763i	−0.365438	+	0.306639i	−0.806954	−	0.590614i	$-0.798885\pi$
$167$	−788.658	+	661.763i	−0.365438	+	0.306639i	0.441516	+	0.897254i	$0.354441\pi$
$168$	−61.4555	+	348.531i	−0.0282226	+	0.160058i
$169$	1969.56	−	716.861i	0.896476	−	0.326291i
$170$	641.382	−	233.444i	0.289363	−	0.105320i
$171$	−1103.24	−	1910.87i	−0.493373	−	0.854547i
$172$	−161.377	−	915.213i	−0.0715399	−	0.405723i
$173$	1427.17	+	1197.54i	0.627202	+	0.526285i	0.900058	−	0.435770i	$-0.143524\pi$
$173$	1427.17	+	1197.54i	0.627202	+	0.526285i	−0.272856	+	0.962055i	$0.587968\pi$
$174$	−269.891	+	467.465i	−0.117588	+	0.203669i
$175$	−1498.10	−	2594.78i	−0.647117	−	1.12084i
$176$	−48.3773	+	274.362i	−0.0207192	+	0.117504i
$177$	1131.36	−	1959.58i	0.480443	−	0.832151i
$178$	2221.21	+	808.454i	0.935319	+	0.340428i
$179$	1376.17			0.574637			0.287319	−	0.957835i	$-0.407236\pi$
$179$	1376.17			0.574637			0.287319	+	0.957835i	$0.407236\pi$
$180$	1062.67	+	386.780i	0.440037	+	0.160160i
$181$	−457.256	−	2593.23i	−0.187777	−	1.06494i	−0.922335	−	0.386390i	$-0.873722\pi$
$181$	−457.256	−	2593.23i	−0.187777	−	1.06494i	0.734559	−	0.678545i	$-0.237389\pi$
$182$	195.737	−	164.243i	0.0797199	−	0.0668930i
$183$	805.833	+	676.174i	0.325513	+	0.273138i
$184$	−317.560			−0.127233
$185$	−25.2401	−	4274.55i	−0.0100308	−	1.69876i
$186$	−160.139			−0.0631290
$187$	239.669	+	201.106i	0.0937236	+	0.0786435i
$188$	−1289.63	+	1082.13i	−0.500296	+	0.419798i
$189$	321.760	+	1824.79i	0.123834	+	0.702296i
$190$	5291.19	+	1925.84i	2.02033	+	0.735341i
$191$	222.266			0.0842020			0.0421010	−	0.999113i	$-0.486595\pi$
$191$	222.266			0.0842020			0.0421010	+	0.999113i	$0.486595\pi$
$192$	209.326	+	76.1883i	0.0786811	+	0.0286376i
$193$	386.250	−	669.005i	0.144057	−	0.249513i	−0.784964	−	0.619541i	$-0.787319\pi$
$193$	386.250	−	669.005i	0.144057	−	0.249513i	0.929021	+	0.370028i	$0.120652\pi$
$194$	−634.066	+	3595.97i	−0.234656	+	1.33080i
$195$	332.252	+	575.478i	0.122016	+	0.211338i
$196$	362.915	−	628.587i	0.132258	−	0.229077i
$197$	−1831.42	−	1536.74i	−0.662351	−	0.555779i	0.248439	−	0.968647i	$-0.420082\pi$
$197$	−1831.42	−	1536.74i	−0.662351	−	0.555779i	−0.910791	+	0.412869i	$0.864527\pi$
$198$	90.0138	+	510.493i	0.0323081	+	0.183228i
$199$	−1590.38	−	2754.62i	−0.566529	−	0.981257i	−0.996906	−	0.0786076i	$-0.974953\pi$
$199$	−1590.38	−	2754.62i	−0.566529	−	0.981257i	0.430377	−	0.902649i	$-0.358381\pi$
$200$	−1772.16	+	645.012i	−0.626552	+	0.228046i
$201$	2625.18	−	955.489i	0.921225	−	0.335298i
$202$	616.210	−	3494.70i	0.214635	−	1.21726i
$203$	−754.969	+	633.494i	−0.261027	+	0.219027i
$204$	191.636	−	160.801i	0.0657705	−	0.0551880i
$205$	−1049.27	+	5950.71i	−0.357484	+	2.02739i
$206$	−2532.82	+	921.871i	−0.856650	+	0.311795i
$207$	−555.238	+	202.090i	−0.186433	+	0.0678562i
$208$	−80.4149	−	139.283i	−0.0268066	−	0.0464304i
$209$	448.193	+	2541.83i	0.148336	+	0.841253i
$210$	−1287.30	−	1080.17i	−0.423010	−	0.354947i
$211$	−768.628	+	1331.30i	−0.250780	+	0.434364i	−0.963741	−	0.266840i	$-0.914020\pi$
$211$	−768.628	+	1331.30i	−0.250780	+	0.434364i	0.712961	+	0.701204i	$0.247354\pi$
$212$	847.647	+	1468.17i	0.274607	+	0.475633i
$213$	184.778	−	1047.93i	0.0594403	−	0.337103i
$214$	935.532	−	1620.39i	0.298840	−	0.517605i
$215$	4146.59	+	1509.24i	1.31533	+	0.478740i
$216$	1166.29			0.367390
$217$	−274.752	−	100.002i	−0.0859511	−	0.0312836i
$218$	594.867	+	3373.66i	0.184814	+	1.04813i
$219$	2652.91	−	2226.06i	0.818572	−	0.686864i
$220$	−1013.35	−	850.304i	−0.310546	−	0.260579i
$221$	−180.614			−0.0549748
$222$	−544.531	−	1469.04i	−0.164624	−	0.444123i
$223$	5022.11			1.50810			0.754048	−	0.656819i	$-0.228098\pi$
$223$	5022.11			1.50810			0.754048	+	0.656819i	$0.228098\pi$
$224$	311.564	+	261.433i	0.0929342	+	0.0779810i
$225$	−2688.05	+	2255.54i	−0.796459	+	0.668309i
$226$	537.820	+	3050.13i	0.158298	+	0.897751i
$227$	2219.75	+	807.923i	0.649031	+	0.236228i	0.645493	−	0.763766i	$-0.276652\pi$
$227$	2219.75	+	807.923i	0.649031	+	0.236228i	0.00353728	+	0.999994i	$0.498874\pi$
$228$	2063.76			0.599456
$229$	836.564	+	304.485i	0.241405	+	0.0878642i	0.459889	−	0.887976i	$-0.347889\pi$
$229$	836.564	+	304.485i	0.241405	+	0.0878642i	−0.218484	+	0.975840i	$0.570111\pi$
$230$	753.930	−	1305.85i	0.216142	−	0.374369i
$231$	133.759	−	758.584i	0.0380982	−	0.216066i
$232$	310.164	+	537.220i	0.0877727	+	0.152027i
$233$	−2504.51	+	4337.93i	−0.704188	+	1.21969i	0.262796	+	0.964851i	$0.415355\pi$
$233$	−2504.51	+	4337.93i	−0.704188	+	1.21969i	−0.966984	+	0.254837i	$0.917978\pi$
$234$	−229.238	−	192.354i	−0.0640418	−	0.0537374i
$235$	−1388.08	−	7872.21i	−0.385313	−	2.18522i
$236$	−1300.18	−	2251.98i	−0.358622	−	0.621151i
$237$	−2432.31	+	885.289i	−0.666648	+	0.242640i
$238$	429.205	−	156.218i	0.116896	−	0.0425467i
$239$	83.2757	−	472.280i	0.0225383	−	0.127821i	−0.971463	−	0.237193i	$-0.923773\pi$
$239$	83.2757	−	472.280i	0.0225383	−	0.127821i	0.994001	+	0.109372i	$0.0348838\pi$
$240$	−810.262	+	679.891i	−0.217926	+	0.182861i
$241$	−4762.49	+	3996.21i	−1.27294	+	1.06813i	−0.278767	+	0.960359i	$0.589926\pi$
$241$	−4762.49	+	3996.21i	−1.27294	+	1.06813i	−0.994176	+	0.107767i	$0.965630\pi$
$242$	−356.957	+	2024.41i	−0.0948186	+	0.537743i
$243$	3353.71	−	1220.65i	0.885353	−	0.322242i
$244$	1136.00	−	413.472i	0.298054	−	0.108483i
$245$	1723.22	+	2984.70i	0.449356	+	0.778307i
$246$	384.573	+	2181.02i	0.0996728	+	0.565272i
$247$	−1141.41	−	957.760i	−0.294034	−	0.246724i
$248$	−92.0177	+	159.379i	−0.0235610	+	0.0408089i
$249$	−754.275	−	1306.44i	−0.191969	−	0.332500i
$250$	730.441	−	4142.54i	0.184789	−	1.04799i
$251$	1575.17	−	2728.27i	0.396111	−	0.686084i	−0.597131	−	0.802143i	$-0.703693\pi$
$251$	1575.17	−	2728.27i	0.396111	−	0.686084i	0.993242	+	0.116059i	$0.0370262\pi$
$252$	711.126	+	258.829i	0.177765	+	0.0647011i
$253$	691.175			0.171754
$254$	−2661.10	−	968.561i	−0.657371	−	0.239263i
$255$	206.266	+	1169.79i	0.0506544	+	0.287276i
$256$	196.107	−	164.554i	0.0478778	−	0.0401742i
$257$	−2161.16	−	1813.43i	−0.524551	−	0.440150i	0.341664	−	0.939822i	$-0.389010\pi$
$257$	−2161.16	−	1813.43i	−0.524551	−	0.440150i	−0.866215	+	0.499672i	$0.833454\pi$
$258$	1617.33			0.390273
$259$	−16.8904	−	2860.48i	−0.00405219	−	0.686260i
$260$	763.662			0.182155
$261$	884.183	+	741.918i	0.209692	+	0.175952i
$262$	944.338	−	792.394i	0.222677	−	0.186848i
$263$	−763.430	−	4329.63i	−0.178993	−	1.01512i	−0.933433	−	0.358751i	$-0.883203\pi$
$263$	−763.430	−	4329.63i	−0.178993	−	1.01512i	0.754441	−	0.656368i	$-0.227908\pi$
$264$	−455.601	−	165.825i	−0.106213	−	0.0386584i
$265$	−8049.71			−1.86600
$266$	3540.81	+	1288.75i	0.816168	+	0.297061i
$267$	−2056.84	+	3562.55i	−0.471448	+	0.816572i
$268$	557.503	−	3161.76i	0.127071	−	0.720653i
$269$	−2427.76	−	4205.01i	−0.550273	−	0.953101i	−0.998255	−	0.0590580i	$-0.981190\pi$
$269$	−2427.76	−	4205.01i	−0.550273	−	0.953101i	0.447982	−	0.894043i	$-0.352143\pi$
$270$	−2768.94	+	4795.94i	−0.624119	+	1.08101i
$271$	−4688.61	−	3934.21i	−1.05097	−	0.881868i	−0.0577744	−	0.998330i	$-0.518400\pi$
$271$	−4688.61	−	3934.21i	−1.05097	−	0.881868i	−0.993195	+	0.116461i	$0.962845\pi$
$272$	−49.9225	−	283.124i	−0.0111287	−	0.0631137i
$273$	222.340	+	385.103i	0.0492916	+	0.0853755i
$274$	−2236.29	+	813.942i	−0.493062	+	0.179460i
$275$	3857.13	−	1403.88i	0.845795	−	0.307844i
$276$	95.9673	−	544.258i	0.0209295	−	0.118697i
$277$	2327.60	−	1953.09i	0.504881	−	0.423646i	−0.354442	−	0.935078i	$-0.615329\pi$
$277$	2327.60	−	1953.09i	0.504881	−	0.423646i	0.859324	+	0.511432i	$0.170885\pi$
$278$	−1340.42	+	1124.75i	−0.289184	+	0.242654i
$279$	−59.4619	+	337.225i	−0.0127595	+	0.0723625i
$280$	−1814.74	+	660.511i	−0.387327	+	0.140975i
$281$	3476.28	−	1265.26i	0.737998	−	0.268609i	0.0544518	−	0.998516i	$-0.482659\pi$
$281$	3476.28	−	1265.26i	0.737998	−	0.268609i	0.683547	+	0.729907i	$0.260437\pi$
$282$	−1464.90	−	2537.27i	−0.309338	−	0.535789i
$283$	1052.02	+	5966.31i	0.220976	+	1.25322i	0.870230	+	0.492645i	$0.163970\pi$
$283$	1052.02	+	5966.31i	0.220976	+	1.25322i	−0.649254	+	0.760571i	$0.724919\pi$
$284$	−936.779	−	786.051i	−0.195731	−	0.164238i
$285$	−4899.64	+	8486.43i	−1.01835	+	1.76383i
$286$	175.024	+	303.151i	0.0361867	+	0.0626772i
$287$	−702.160	+	3982.15i	−0.144415	+	0.819020i
$288$	238.164	−	412.513i	0.0487291	−	0.0844012i
$289$	4313.32	+	1569.92i	0.877941	+	0.319544i
$290$	−2945.48			−0.596430
$291$	−5971.41	−	2173.42i	−1.20292	−	0.437828i
$292$	−691.103	−	3919.44i	−0.138506	−	0.785506i
$293$	635.440	−	533.198i	0.126699	−	0.106313i	−0.577236	−	0.816577i	$-0.695869\pi$
$293$	635.440	−	533.198i	0.126699	−	0.106313i	0.703935	+	0.710264i	$0.251424\pi$
$294$	967.643	+	811.949i	0.191953	+	0.161067i
$295$	12347.2			2.43689
$296$	−1774.96	−	302.178i	−0.348539	−	0.0593369i
$297$	−2538.46			−0.495947
$298$	−719.807	−	603.990i	−0.139924	−	0.117410i
$299$	−305.659	+	256.478i	−0.0591194	+	0.0496071i
$300$	−569.919	−	3232.17i	−0.109681	−	0.622032i
$301$	2774.85	+	1009.96i	0.531362	+	0.193400i
$302$	382.022			0.0727910
$303$	5803.24	+	2112.21i	1.10029	+	0.400472i
$304$	1185.86	−	2053.97i	0.223729	−	0.387510i
$305$	−996.780	+	5653.02i	−0.187133	+	1.06128i
$306$	−267.462	−	463.258i	−0.0499667	−	0.0865448i
$307$	705.248	−	1221.52i	0.131109	−	0.227088i	−0.792995	−	0.609228i	$-0.791479\pi$
$307$	705.248	−	1221.52i	0.131109	−	0.227088i	0.924105	+	0.382140i	$0.124813\pi$
$308$	−678.124	−	569.014i	−0.125454	−	0.105268i
$309$	−814.545	−	4619.52i	−0.149961	−	0.850469i
$310$	−436.925	−	756.776i	−0.0800505	−	0.138651i
$311$	974.431	−	354.664i	0.177668	−	0.0646660i	−0.251654	−	0.967817i	$-0.580975\pi$
$311$	974.431	−	354.664i	0.177668	−	0.0646660i	0.429323	+	0.903151i	$0.358752\pi$
$312$	263.014	−	95.7293i	0.0477251	−	0.0173705i
$313$	168.024	−	952.910i	0.0303427	−	0.172082i	−0.965871	−	0.259025i	$-0.916599\pi$
$313$	168.024	−	952.910i	0.0303427	−	0.172082i	0.996213	+	0.0869432i	$0.0277099\pi$
$314$	−1662.56	+	1395.05i	−0.298801	+	0.250724i
$315$	−2752.64	+	2309.74i	−0.492361	+	0.413140i
$316$	−516.544	+	2929.46i	−0.0919552	+	0.521504i
$317$	−1696.45	+	617.459i	−0.300575	+	0.109400i	−0.487905	−	0.872897i	$-0.662239\pi$
$317$	−1696.45	+	617.459i	−0.300575	+	0.109400i	0.187330	+	0.982297i	$0.440017\pi$
$318$	−2772.41	+	1009.08i	−0.488897	+	0.177944i
$319$	−675.077	−	1169.27i	−0.118486	−	0.205224i
$320$	211.079	+	1197.09i	0.0368740	+	0.209123i
$321$	2494.42	+	2093.07i	0.433723	+	0.363936i
$322$	504.522	−	873.857i	0.0873164	−	0.151237i
$323$	−1331.74	−	2306.64i	−0.229411	−	0.397352i
$324$	−73.2976	+	415.692i	−0.0125682	+	0.0712777i
$325$	−1184.79	+	2052.12i	−0.202217	+	0.350250i
$326$	−7142.28	−	2599.58i	−1.21342	−	0.441648i
$327$	−5961.78			−1.00822
$328$	2391.65	+	870.490i	0.402613	+	0.146539i
$329$	−928.889	−	5267.99i	−0.155658	−	0.882778i
$330$	1763.55	−	1479.79i	0.294182	−	0.246848i
$331$	−4820.60	−	4044.97i	−0.800496	−	0.671696i	0.147823	−	0.989014i	$-0.452773\pi$
$331$	−4820.60	−	4044.97i	−0.800496	−	0.671696i	−0.948319	+	0.317318i	$0.897218\pi$
$332$	−1733.66			−0.286587
$333$	−3295.73	+	601.212i	−0.542356	+	0.0989375i
$334$	−2059.04			−0.337322
$335$	11677.9	+	9798.95i	1.90458	+	1.59813i
$336$	−542.218	+	454.975i	−0.0880370	+	0.0738718i
$337$	−884.120	−	5014.10i	−0.142911	−	0.810490i	−0.969021	−	0.246980i	$-0.920562\pi$
$337$	−884.120	−	5014.10i	−0.142911	−	0.810490i	0.826109	−	0.563510i	$-0.190549\pi$
$338$	3939.12	+	1433.72i	0.633904	+	0.230722i
$339$	−5390.06			−0.863563
$340$	1282.76	+	466.888i	0.204611	+	0.0744722i
$341$	200.278	−	346.892i	0.0318055	−	0.0550887i
$342$	766.302	−	4345.91i	0.121160	−	0.687135i
$343$	3332.91	+	5772.77i	0.524666	+	0.908747i
$344$	929.332	−	1609.65i	0.145658	−	0.252286i
$345$	2010.21	+	1686.77i	0.313699	+	0.263225i
$346$	647.028	+	3669.48i	0.100533	+	0.570151i
$347$	−1044.88	−	1809.79i	−0.161649	−	0.279985i	0.773811	−	0.633416i	$-0.218348\pi$
$347$	−1044.88	−	1809.79i	−0.161649	−	0.279985i	−0.935460	+	0.353432i	$0.885015\pi$
$348$	−1014.46	+	369.233i	−0.156266	+	0.0568763i
$349$	−4600.76	+	1674.54i	−0.705653	+	0.256837i	−0.669823	−	0.742521i	$-0.733630\pi$
$349$	−4600.76	+	1674.54i	−0.705653	+	0.256837i	−0.0358307	+	0.999358i	$0.511408\pi$
$350$	1040.57	−	5901.35i	0.158916	−	0.901258i
$351$	1122.58	−	941.959i	0.170710	−	0.143242i
$352$	−426.831	+	358.154i	−0.0646311	+	0.0542319i
$353$	−1077.52	+	6110.92i	−0.162466	+	0.921392i	0.789172	+	0.614172i	$0.210510\pi$
$353$	−1077.52	+	6110.92i	−0.162466	+	0.921392i	−0.951638	+	0.307220i	$0.900601\pi$
$354$	4252.53	−	1547.79i	0.638473	−	0.232385i
$355$	5456.37	−	1985.96i	0.815758	−	0.296912i
$356$	2363.76	+	4094.16i	0.351908	+	0.609522i
$357$	138.031	+	782.812i	0.0204632	+	0.116053i
$358$	2108.42	+	1769.17i	0.311267	+	0.261184i
$359$	−5701.92	+	9876.02i	−0.838262	+	1.45191i	0.0530853	+	0.998590i	$0.483094\pi$
$359$	−5701.92	+	9876.02i	−0.838262	+	1.45191i	−0.891347	+	0.453322i	$0.850239\pi$
$360$	1130.87	+	1958.72i	0.165561	+	0.286760i
$361$	2624.48	−	14884.2i	0.382634	−	2.17002i
$362$	2633.23	−	4560.90i	0.382320	−	0.662197i
$363$	−3361.70	−	1223.56i	−0.486070	−	0.176915i
$364$	511.034			0.0735865
$365$	17758.0	+	6463.37i	2.54656	+	0.926872i
$366$	365.335	+	2071.92i	0.0521758	+	0.295904i
$367$	10060.9	−	8442.06i	1.43099	−	1.20074i	0.485860	−	0.874037i	$-0.338506\pi$
$367$	10060.9	−	8442.06i	1.43099	−	1.20074i	0.945127	−	0.326704i	$-0.105938\pi$
$368$	−486.531	−	408.248i	−0.0689189	−	0.0578298i
$369$	4735.65			0.668097
$370$	5456.58	−	6581.43i	0.766687	−	0.924736i
$371$	−5386.77			−0.753820
$372$	−245.348	−	205.871i	−0.0341954	−	0.0286934i
$373$	6255.26	−	5248.79i	0.868325	−	0.728611i	−0.0954196	−	0.995437i	$-0.530419\pi$
$373$	6255.26	−	5248.79i	0.868325	−	0.728611i	0.963745	+	0.266826i	$0.0859748\pi$
$374$	108.657	+	616.224i	0.0150228	+	0.0851984i
$375$	6879.03	+	2503.76i	0.947284	+	0.344783i
$376$	−3366.98			−0.461805
$377$	732.426	+	266.581i	0.100058	+	0.0364181i
$378$	−1852.94	+	3209.39i	−0.252130	+	0.436701i
$379$	−1088.87	+	6175.27i	−0.147576	+	0.836945i	0.817687	+	0.575664i	$0.195256\pi$
$379$	−1088.87	+	6175.27i	−0.147576	+	0.836945i	−0.965263	+	0.261282i	$0.915855\pi$
$380$	5630.77	+	9752.77i	0.760138	+	1.31660i
$381$	2464.18	−	4268.08i	0.331348	−	0.573912i
$382$	340.531	+	285.739i	0.0456101	+	0.0382715i
$383$	1619.15	+	9182.68i	0.216018	+	1.22510i	0.879131	+	0.476580i	$0.158124\pi$
$383$	1619.15	+	9182.68i	0.216018	+	1.22510i	−0.663113	+	0.748519i	$0.730765\pi$
$384$	222.760	+	385.831i	0.0296033	+	0.0512744i
$385$	3949.81	−	1437.61i	0.522859	−	0.190305i
$386$	1451.83	−	528.422i	0.191441	−	0.0696786i
$387$	600.535	−	3405.80i	0.0788808	−	0.447355i
$388$	−5594.33	+	4694.20i	−0.731982	+	0.614206i
$389$	−7893.13	+	6623.12i	−1.02879	+	0.863253i	−0.990706	−	0.136021i	$-0.956568\pi$
$389$	−7893.13	+	6623.12i	−1.02879	+	0.863253i	−0.0380795	+	0.999275i	$0.512124\pi$
$390$	−230.780	+	1308.82i	−0.0299641	+	0.169935i
$391$	−670.236	+	243.946i	−0.0866887	+	0.0315521i
$392$	1364.11	−	496.497i	0.175761	−	0.0639716i
$393$	1072.68	+	1857.94i	0.137683	+	0.238475i
$394$	−830.298	−	4708.85i	−0.106167	−	0.602103i
$395$	−10820.0	−	9079.02i	−1.37826	−	1.15649i
$396$	−518.369	+	897.841i	−0.0657803	+	0.113935i
$397$	1619.07	+	2804.31i	0.204682	+	0.354520i	0.950031	−	0.312154i	$-0.101051\pi$
$397$	1619.07	+	2804.31i	0.204682	+	0.354520i	−0.745349	+	0.666674i	$0.767717\pi$
$398$	1104.67	−	6264.89i	0.139126	−	0.789021i
$399$	−3278.79	+	5679.02i	−0.411390	+	0.712548i
$400$	−3544.31	−	1290.02i	−0.443039	−	0.161253i
$401$	−8575.99			−1.06799			−0.533996	−	0.845487i	$-0.679310\pi$
$401$	−8575.99			−1.06799			−0.533996	+	0.845487i	$0.679310\pi$
$402$	5250.37	+	1910.98i	0.651404	+	0.237092i
$403$	40.1539	+	227.724i	0.00496330	+	0.0281483i
$404$	5436.78	−	4562.00i	0.669530	−	0.561802i
$405$	−1535.35	−	1288.32i	−0.188376	−	0.158066i
$406$	−1971.08			−0.240944
$407$	3863.23	+	657.695i	0.470499	+	0.0801001i
$408$	500.325			0.0607103
$409$	−5301.94	−	4448.85i	−0.640988	−	0.537852i	0.263334	−	0.964705i	$-0.415178\pi$
$409$	−5301.94	−	4448.85i	−0.640988	−	0.537852i	−0.904321	+	0.426852i	$0.859622\pi$
$410$	−9257.66	+	7768.10i	−1.11513	+	0.935705i
$411$	−719.182	−	4078.68i	−0.0863130	−	0.489505i
$412$	−5065.64	−	1843.74i	−0.605743	−	0.220472i
$413$	8262.63			0.984449
$414$	−1110.48	−	404.180i	−0.131828	−	0.0479816i
$415$	4115.93	−	7129.00i	0.486851	−	0.843250i
$416$	55.8556	−	316.773i	0.00658304	−	0.0373343i
$417$	−1522.59	−	2637.21i	−0.178805	−	0.309699i
$418$	−2581.04	+	4470.49i	−0.302016	+	0.523107i
$419$	−10916.9	−	9160.34i	−1.27285	−	1.06805i	−0.994188	−	0.107658i	$-0.965665\pi$
$419$	−10916.9	−	9160.34i	−1.27285	−	1.06805i	−0.278662	−	0.960389i	$-0.589891\pi$
$420$	−583.614	−	3309.84i	−0.0678034	−	0.384532i
$421$	2925.56	+	5067.22i	0.338677	+	0.586606i	0.984184	−	0.177148i	$-0.0566872\pi$
$421$	2925.56	+	5067.22i	0.338677	+	0.586606i	−0.645507	+	0.763754i	$0.723354\pi$
$422$	−2889.10	+	1051.55i	−0.333268	+	0.121300i
$423$	−5886.98	+	2142.69i	−0.676678	+	0.246291i
$424$	−588.770	+	3339.08i	−0.0674367	+	0.382453i
$425$	−3244.79	+	2722.70i	−0.370342	+	0.310754i
$426$	1630.29	−	1367.97i	0.185417	−	0.155583i
$427$	−667.034	+	3782.94i	−0.0755973	+	0.428733i
$428$	3516.45	−	1279.88i	0.397136	−	0.144546i
$429$	−572.454	+	208.356i	−0.0644251	+	0.0234488i
$430$	4412.71	+	7643.04i	0.494884	+	0.857164i
$431$	−2125.61	−	12054.9i	−0.237557	−	1.34725i	−0.837162	−	0.546956i	$-0.815787\pi$
$431$	−2125.61	−	12054.9i	−0.237557	−	1.34725i	0.599605	−	0.800296i	$-0.295324\pi$
$432$	1786.87	+	1499.36i	0.199006	+	0.166986i
$433$	4829.26	−	8364.52i	0.535980	−	0.928344i	−0.463136	−	0.886287i	$-0.653276\pi$
$433$	4829.26	−	8364.52i	0.535980	−	0.928344i	0.999115	−	0.0420566i	$-0.0133910\pi$
$434$	−292.385	−	506.426i	−0.0323385	−	0.0560120i
$435$	890.130	−	5048.18i	0.0981114	−	0.556417i
$436$	−3425.70	+	5933.49i	−0.376287	+	0.651749i
$437$	−5529.23	−	2012.48i	−0.605261	−	0.220297i
$438$	6926.27			0.755593
$439$	3272.24	+	1191.00i	0.355752	+	0.129483i	0.513713	−	0.857962i	$-0.328270\pi$
$439$	3272.24	+	1191.00i	0.355752	+	0.129483i	−0.157961	+	0.987445i	$0.550492\pi$
$440$	−459.417	−	2605.48i	−0.0497769	−	0.282299i
$441$	2069.12	−	1736.20i	0.223423	−	0.187474i
$442$	−276.717	−	232.193i	−0.0297785	−	0.0249871i
$443$	−4421.22			−0.474173			−0.237087	−	0.971489i	$-0.576192\pi$
$443$	−4421.22			−0.474173			−0.237087	+	0.971489i	$0.576192\pi$
$444$	1054.29	−	2950.73i	0.112690	−	0.315395i
$445$	−22447.5			−2.39127
$446$	7694.32	+	6456.30i	0.816898	+	0.685459i
$447$	1252.69	−	1051.13i	0.132551	−	0.111223i
$448$	141.252	+	801.078i	0.0148962	+	0.0844808i
$449$	−8182.81	−	2978.30i	−0.860069	−	0.313039i	−0.125930	−	0.992039i	$-0.540191\pi$
$449$	−8182.81	−	2978.30i	−0.860069	−	0.313039i	−0.734138	+	0.679000i	$0.762414\pi$
$450$	−7018.00			−0.735181
$451$	−5205.47	−	1894.64i	−0.543494	−	0.197816i
$452$	−3097.18	+	5364.48i	−0.322299	+	0.558239i
$453$	−115.448	+	654.736i	−0.0119740	+	0.0679077i
$454$	2362.21	+	4091.46i	0.244194	+	0.422956i
$455$	−1213.26	+	2101.43i	−0.125008	+	0.216520i
$456$	3161.87	+	2653.12i	0.324710	+	0.272464i
$457$	1404.11	+	7963.12i	0.143724	+	0.815097i	0.968383	+	0.249468i	$0.0802556\pi$
$457$	1404.11	+	7963.12i	0.143724	+	0.815097i	−0.824660	+	0.565629i	$0.808633\pi$
$458$	890.253	+	1541.96i	0.0908271	+	0.157317i
$459$	2461.56	−	895.933i	0.250317	−	0.0911080i
$460$	2833.85	−	1031.44i	0.287237	−	0.104546i
$461$	1099.03	−	6232.92i	0.111035	−	0.629709i	−0.877603	−	0.479389i	$-0.840858\pi$
$461$	1099.03	−	6232.92i	0.111035	−	0.629709i	0.988637	−	0.150320i	$-0.0480305\pi$
$462$	1180.15	−	990.261i	0.118843	−	0.0997210i
$463$	−5043.72	+	4232.18i	−0.506266	+	0.424808i	−0.859813	−	0.510609i	$-0.829420\pi$
$463$	−5043.72	+	4232.18i	−0.506266	+	0.424808i	0.353547	+	0.935417i	$0.384976\pi$
$464$	−215.438	+	1221.81i	−0.0215548	+	0.122244i
$465$	1429.06	−	520.134i	0.142518	−	0.0518723i
$466$	−9413.87	+	3426.37i	−0.935813	+	0.340608i
$467$	3039.96	+	5265.37i	0.301226	+	0.521739i	0.976414	−	0.215907i	$-0.0692708\pi$
$467$	3039.96	+	5265.37i	0.301226	+	0.521739i	−0.675188	+	0.737646i	$0.735937\pi$
$468$	−103.928	−	589.406i	−0.0102651	−	0.0582165i
$469$	7814.74	+	6557.35i	0.769406	+	0.645608i
$470$	7993.65	−	13845.4i	0.784510	−	1.35881i
$471$	−1888.51	−	3270.99i	−0.184751	−	0.319999i
$472$	903.098	−	5121.72i	0.0880688	−	0.499463i
$473$	−2022.71	+	3503.43i	−0.196626	+	0.340566i
$474$	−4864.62	−	1770.58i	−0.471392	−	0.171573i
$475$	−34943.7			−3.37543
$476$	858.411	+	312.436i	0.0826580	+	0.0300850i
$477$	1095.50	+	6212.89i	0.105156	+	0.596370i
$478$	734.737	−	616.518i	0.0703056	−	0.0589934i
$479$	7978.12	+	6694.44i	0.761022	+	0.638573i	0.938393	−	0.345571i	$-0.112315\pi$
$479$	7978.12	+	6694.44i	0.761022	+	0.638573i	−0.177371	+	0.984144i	$0.556759\pi$
$480$	−2115.44			−0.201159
$481$	−1952.49	+	1142.70i	−0.185085	+	0.108321i
$482$	−12434.0			−1.17501
$483$	1345.21	+	1128.77i	0.126727	+	0.106337i
$484$	−3149.42	+	2642.67i	−0.295775	+	0.248185i
$485$	−6021.43	−	34149.2i	−0.563750	−	3.19719i
$486$	6707.43	+	2441.30i	0.626039	+	0.227860i
$487$	6740.61			0.627199			0.313600	−	0.949555i	$-0.398465\pi$
$487$	6740.61			0.627199			0.313600	+	0.949555i	$0.398465\pi$
$488$	2272.01	+	826.943i	0.210756	+	0.0767090i
$489$	6613.75	−	11455.4i	0.611624	−	1.05936i
$490$	−1196.93	+	6788.14i	−0.110351	+	0.625831i
$491$	1524.45	+	2640.43i	0.140117	+	0.242690i	0.927541	−	0.373722i	$-0.121919\pi$
$491$	1524.45	+	2640.43i	0.140117	+	0.242690i	−0.787423	+	0.616413i	$0.788585\pi$
$492$	−2214.67	+	3835.92i	−0.202937	+	0.351497i
$493$	1067.31	+	895.581i	0.0975037	+	0.0818153i
$494$	−517.475	−	2934.75i	−0.0471302	−	0.267288i
$495$	−2461.35	−	4263.18i	−0.223494	−	0.387103i
$496$	−345.874	+	125.888i	−0.0313108	+	0.0113962i
$497$	3651.34	−	1328.98i	0.329548	−	0.119946i
$498$	523.914	−	2971.26i	0.0471429	−	0.267361i
$499$	−4406.79	+	3697.74i	−0.395341	+	0.331731i	−0.818690	−	0.574236i	$-0.805299\pi$
$499$	−4406.79	+	3697.74i	−0.395341	+	0.331731i	0.423348	+	0.905967i	$0.360855\pi$
$500$	6444.64	−	5407.70i	0.576426	−	0.483679i
$501$	622.246	−	3528.93i	0.0554888	−	0.314693i
$502$	5920.70	−	2154.96i	0.526402	−	0.191595i
$503$	−1959.32	+	713.135i	−0.173682	+	0.0632150i	−0.427397	−	0.904064i	$-0.640569\pi$
$503$	−1959.32	+	713.135i	−0.173682	+	0.0632150i	0.253716	+	0.967279i	$0.418347\pi$
$504$	756.764	+	1310.75i	0.0668828	+	0.115844i
$505$	5851.85	+	33187.5i	0.515651	+	2.92440i
$506$	1058.94	+	888.557i	0.0930350	+	0.0780656i
$507$	−3647.62	+	6317.87i	−0.319520	+	0.553425i
$508$	−2831.88	−	4904.96i	−0.247332	−	0.428391i
$509$	−2628.91	+	14909.3i	−0.228928	+	1.29832i	0.626103	+	0.779741i	$0.284649\pi$
$509$	−2628.91	+	14909.3i	−0.228928	+	1.29832i	−0.855031	+	0.518577i	$0.826462\pi$
$510$	−1187.84	+	2057.40i	−0.103134	+	0.178633i
$511$	11883.4	+	4325.21i	1.02875	+	0.374435i
$512$	512.000			0.0441942
$513$	20307.0	+	7391.16i	1.74771	+	0.636116i
$514$	−979.791	−	5556.67i	−0.0840793	−	0.476837i
$515$	19608.2	−	16453.2i	1.67775	−	1.40780i
$516$	2477.89	+	2079.19i	0.211401	+	0.177386i
$517$	7328.28			0.623399
$518$	3651.48	−	4404.22i	0.309724	−	0.373572i
$519$	−6484.55			−0.548439
$520$	1170.00	+	981.745i	0.0986689	+	0.0827930i
$521$	16199.1	−	13592.7i	1.36218	−	1.14300i	0.386877	−	0.922131i	$-0.373554\pi$
$521$	16199.1	−	13592.7i	1.36218	−	1.14300i	0.975303	−	0.220873i	$-0.0708906\pi$
$522$	400.856	+	2273.37i	0.0336111	+	0.190618i
$523$	19696.8	+	7169.07i	1.64681	+	0.599391i	0.988211	−	0.153101i	$-0.0489259\pi$
$523$	19696.8	+	7169.07i	1.64681	+	0.599391i	0.658602	+	0.752491i	$0.271148\pi$
$524$	2465.49			0.205545
$525$	9799.69	+	3566.80i	0.814655	+	0.296510i
$526$	4396.42	−	7614.82i	0.364435	−	0.631221i
$527$	−71.7774	+	407.070i	−0.00593296	+	0.0336475i
$528$	−484.840	−	839.768i	−0.0399620	−	0.0692163i
$529$	5295.65	−	9172.34i	0.435247	−	0.753870i
$530$	−12332.9	−	10348.5i	−1.01077	−	0.848133i
$531$	−1680.36	−	9529.79i	−0.137328	−	0.778828i
$532$	3768.05	+	6526.45i	0.307078	+	0.531875i
$533$	3005.07	−	1093.76i	0.244210	−	0.0888852i
$534$	−7731.19	+	2813.92i	−0.626519	+	0.228034i
$535$	−3085.49	+	17498.7i	−0.249341	+	1.41408i
$536$	4918.82	−	4127.38i	0.396382	−	0.332604i
$537$	−3669.31	+	3078.91i	−0.294865	+	0.247421i
$538$	1686.31	−	9563.53i	0.135134	−	0.766381i
$539$	−2969.01	+	1080.63i	−0.237262	+	0.0863565i
$540$	−10407.8	+	3788.13i	−0.829408	+	0.301880i
$541$	1040.09	+	1801.49i	0.0826561	+	0.143165i	0.904390	−	0.426707i	$-0.140326\pi$
$541$	1040.09	+	1801.49i	0.0826561	+	0.143165i	−0.821734	+	0.569871i	$0.806993\pi$
$542$	−2125.64	−	12055.1i	−0.168458	−	0.955372i
$543$	7021.02	+	5891.34i	0.554882	+	0.465601i
$544$	287.492	−	497.951i	0.0226583	−	0.0392453i
$545$	−16266.1	−	28173.8i	−1.27847	−	2.21437i
$546$	−154.435	+	875.847i	−0.0121048	+	0.0686498i
$547$	−9016.18	+	15616.5i	−0.704761	+	1.22068i	0.262017	+	0.965063i	$0.415612\pi$
$547$	−9016.18	+	15616.5i	−0.704761	+	1.22068i	−0.966778	+	0.255618i	$0.917721\pi$
$548$	−4472.58	−	1627.88i	−0.348648	−	0.126897i
$549$	4498.74			0.349730
$550$	7714.25	+	2807.76i	0.598067	+	0.217679i
$551$	1995.93	+	11319.5i	0.154318	+	0.875182i
$552$	846.714	−	710.478i	0.0652872	−	0.0547825i
$553$	−7240.60	−	6075.58i	−0.556784	−	0.467197i
$554$	6076.94			0.466037
$555$	9630.74	+	11340.8i	0.736580	+	0.867369i
$556$	−3499.59			−0.266935
$557$	10186.8	+	8547.78i	0.774920	+	0.650235i	0.941964	−	0.335714i	$-0.108978\pi$
$557$	10186.8	+	8547.78i	0.774920	+	0.650235i	−0.167044	+	0.985949i	$0.553422\pi$
$558$	−524.629	+	440.216i	−0.0398017	+	0.0333976i
$559$	−405.534	−	2299.90i	−0.0306838	−	0.174017i
$560$	−3629.48	−	1321.02i	−0.273881	−	0.0996846i
$561$	−1088.97			−0.0819540
$562$	6952.56	+	2530.53i	0.521844	+	0.189936i
$563$	−11849.9	+	20524.7i	−0.887061	+	1.53644i	−0.0437283	+	0.999043i	$0.513924\pi$
$563$	−11849.9	+	20524.7i	−0.887061	+	1.53644i	−0.843333	+	0.537392i	$0.819410\pi$
$564$	1017.51	−	5770.57i	0.0759659	−	0.430824i
$565$	−14706.2	−	25472.0i	−1.09504	−	1.89666i
$566$	−6058.35	+	10493.4i	−0.449914	+	0.779274i
$567$	−1027.44	−	862.126i	−0.0760997	−	0.0638552i
$568$	−424.701	−	2408.60i	−0.0313734	−	0.177927i
$569$	3974.71	+	6884.40i	0.292845	+	0.507222i	0.974481	−	0.224469i	$-0.0720648\pi$
$569$	3974.71	+	6884.40i	0.292845	+	0.507222i	−0.681637	+	0.731691i	$0.738731\pi$
$570$	−18416.6	+	6703.10i	−1.35331	+	0.492565i
$571$	−1360.30	+	495.108i	−0.0996965	+	0.0362866i	−0.391387	−	0.920226i	$-0.628005\pi$
$571$	−1360.30	+	495.108i	−0.0996965	+	0.0362866i	0.291690	+	0.956513i	$0.405782\pi$
$572$	−121.571	+	689.461i	−0.00888657	+	0.0503983i
$573$	−592.629	+	497.275i	−0.0432067	+	0.0362547i
$574$	−6195.12	+	5198.32i	−0.450487	+	0.378003i
$575$	−1624.92	+	9215.40i	−0.117850	+	0.668363i
$576$	895.205	−	325.828i	0.0647573	−	0.0235697i
$577$	−366.031	+	133.224i	−0.0264092	+	0.00961214i	−0.355191	−	0.934794i	$-0.615584\pi$
$577$	−366.031	+	133.224i	−0.0264092	+	0.00961214i	0.328782	+	0.944406i	$0.393362\pi$
$578$	4590.14	+	7950.36i	0.330320	+	0.572130i
$579$	466.902	+	2647.93i	0.0335126	+	0.190059i
$580$	−4512.74	−	3786.64i	−0.323071	−	0.271089i
$581$	2754.33	−	4770.65i	0.196677	−	0.340654i
$582$	−6354.64	−	11006.6i	−0.452592	−	0.783912i
$583$	1281.47	−	7267.56i	0.0910341	−	0.516280i
$584$	3979.90	−	6893.39i	0.282003	−	0.488443i
$585$	2670.45	+	971.963i	0.188734	+	0.0686936i
$586$	1659.02			0.116951
$587$	−17925.2	−	6524.25i	−1.26040	−	0.458747i	−0.376495	−	0.926419i	$-0.622871\pi$
$587$	−17925.2	−	6524.25i	−1.26040	−	0.458747i	−0.883902	+	0.467672i	$0.845093\pi$
$588$	438.694	+	2487.96i	0.0307677	+	0.174493i
$589$	−2612.21	+	2191.90i	−0.182741	+	0.153338i
$590$	18917.1	+	15873.3i	1.32001	+	1.10762i
$591$	8321.29			0.579174
$592$	−2330.92	−	2744.81i	−0.161825	−	0.190559i
$593$	−848.528			−0.0587604			−0.0293802	−	0.999568i	$-0.509353\pi$
$593$	−848.528			−0.0587604			−0.0293802	+	0.999568i	$0.509353\pi$
$594$	−3889.14	−	3263.38i	−0.268642	−	0.225418i
$595$	−3322.75	+	2788.12i	−0.228941	+	0.192104i
$596$	−326.334	−	1850.73i	−0.0224281	−	0.127196i
$597$	10403.4	+	3786.52i	0.713202	+	0.259584i
$598$	−798.018			−0.0545709
$599$	8998.57	+	3275.21i	0.613809	+	0.223408i	0.630169	−	0.776458i	$-0.282986\pi$
$599$	8998.57	+	3275.21i	0.613809	+	0.223408i	−0.0163601	+	0.999866i	$0.505208\pi$
$600$	3282.03	−	5684.65i	0.223314	−	0.386791i
$601$	−2424.80	+	13751.7i	−0.164575	+	0.933353i	0.784926	+	0.619590i	$0.212701\pi$
$601$	−2424.80	+	13751.7i	−0.164575	+	0.933353i	−0.949501	+	0.313763i	$0.898410\pi$
$602$	2952.94	+	5114.64i	0.199922	+	0.346274i
$603$	5973.71	−	10346.8i	0.403430	−	0.698761i
$604$	585.291	+	491.118i	0.0394291	+	0.0330849i
$605$	−3389.86	−	19224.8i	−0.227797	−	1.29190i
$606$	6175.68	+	10696.6i	0.413977	+	0.717029i
$607$	14658.5	−	5335.27i	0.980184	−	0.356758i	0.198272	−	0.980147i	$-0.436467\pi$
$607$	14658.5	−	5335.27i	0.980184	−	0.356758i	0.781912	+	0.623389i	$0.214245\pi$
$608$	4457.37	−	1622.35i	0.297319	−	0.108215i
$609$	595.665	−	3378.18i	0.0396348	−	0.224780i
$610$	−8794.54	+	7379.49i	−0.583738	+	0.489815i
$611$	−3240.79	+	2719.34i	−0.214580	+	0.180054i
$612$	185.777	−	1053.60i	0.0122706	−	0.0695900i
$613$	−13752.5	+	5005.50i	−0.906130	+	0.329804i	−0.752706	−	0.658356i	$-0.771252\pi$
$613$	−13752.5	+	5005.50i	−0.906130	+	0.329804i	−0.153423	+	0.988161i	$0.549030\pi$
$614$	2650.86	−	964.835i	0.174235	−	0.0634163i
$615$	−10515.8	−	18214.0i	−0.689495	−	1.19424i
$616$	−307.437	−	1743.56i	−0.0201087	−	0.114042i
$617$	17420.4	+	14617.5i	1.13666	+	0.953772i	0.999324	−	0.0367525i	$-0.0117013\pi$
$617$	17420.4	+	14617.5i	1.13666	+	0.953772i	0.137337	+	0.990524i	$0.456146\pi$
$618$	4690.78	−	8124.67i	0.305325	−	0.528838i
$619$	6336.44	+	10975.0i	0.411443	+	0.712640i	0.995048	−	0.0993977i	$-0.0316916\pi$
$619$	6336.44	+	10975.0i	0.411443	+	0.712640i	−0.583605	+	0.812038i	$0.698358\pi$
$620$	303.485	−	1721.15i	0.0196584	−	0.111489i
$621$	2893.51	−	5011.70i	0.186976	−	0.323853i
$622$	1948.86	+	709.327i	0.125631	+	0.0457258i
$623$	−15021.6			−0.966018
$624$	526.028	+	191.459i	0.0337468	+	0.0122828i
$625$	1819.76	+	10320.3i	0.116464	+	0.660502i
$626$	1482.46	−	1243.94i	0.0946505	−	0.0794212i
$627$	−6881.85	−	5774.56i	−0.438333	−	0.367805i
$628$	−4340.63			−0.275812
$629$	−3978.32	+	725.732i	−0.252188	+	0.0460045i
$630$	−7186.63			−0.454480
$631$	−14222.5	−	11934.1i	−0.897286	−	0.752912i	0.0723723	−	0.997378i	$-0.476943\pi$
$631$	−14222.5	−	11934.1i	−0.897286	−	0.752912i	−0.969658	+	0.244466i	$0.921387\pi$
$632$	−4557.44	+	3824.14i	−0.286844	+	0.240690i
$633$	−929.124	−	5269.32i	−0.0583402	−	0.330864i
$634$	−3392.91	−	1234.92i	−0.212539	−	0.0773578i
$635$	26893.1			1.68066
$636$	−5544.82	−	2018.15i	−0.345702	−	0.125825i
$637$	911.992	−	1579.62i	0.0567260	−	0.0982523i
$638$	468.904	−	2659.28i	0.0290973	−	0.165019i
$639$	−2275.36	−	3941.04i	−0.140864	−	0.243983i
$640$	−1215.56	+	2105.40i	−0.0750767	+	0.130037i
$641$	−4359.84	−	3658.34i	−0.268648	−	0.225422i	0.498505	−	0.866887i	$-0.333883\pi$
$641$	−4359.84	−	3658.34i	−0.268648	−	0.225422i	−0.767153	+	0.641465i	$0.778327\pi$
$642$	1130.88	+	6413.53i	0.0695206	+	0.394271i
$643$	−3711.11	−	6427.83i	−0.227608	−	0.394229i	0.729491	−	0.683991i	$-0.239757\pi$
$643$	−3711.11	−	6427.83i	−0.227608	−	0.394229i	−0.957099	+	0.289762i	$0.906424\pi$
$644$	1896.38	−	690.226i	0.116037	−	0.0422340i
$645$	−14432.7	+	5253.08i	−0.881067	+	0.320682i
$646$	925.015	−	5246.02i	0.0563378	−	0.319508i
$647$	−24605.0	+	20646.0i	−1.49509	+	1.25453i	−0.607131	+	0.794602i	$0.707680\pi$
$647$	−24605.0	+	20646.0i	−1.49509	+	1.25453i	−0.887957	+	0.459926i	$0.847876\pi$
$648$	−646.701	+	542.647i	−0.0392050	+	0.0328969i
$649$	−1965.61	+	11147.5i	−0.118886	+	0.674234i
$650$	−4453.37	+	1620.89i	−0.268732	+	0.0978103i
$651$	956.308	−	348.068i	0.0575740	−	0.0209552i
$652$	−7600.66	−	13164.7i	−0.456541	−	0.790752i
$653$	−3222.59	−	18276.2i	−0.193124	−	1.09526i	−0.915066	−	0.403305i	$-0.867861\pi$
$653$	−3222.59	−	18276.2i	−0.193124	−	1.09526i	0.721942	−	0.691954i	$-0.243250\pi$
$654$	−9133.98	−	7664.32i	−0.546127	−	0.458255i
$655$	−5853.40	+	10138.4i	−0.349178	+	0.604794i
$656$	2545.14	+	4408.32i	0.151480	+	0.262372i
$657$	2571.81	−	14585.5i	0.152718	−	0.866109i
$658$	5349.26	−	9265.19i	0.316924	−	0.548928i
$659$	22733.4	+	8274.29i	1.34381	+	0.489106i	0.911009	−	0.412386i	$-0.135304\pi$
$659$	22733.4	+	8274.29i	1.34381	+	0.489106i	0.432797	+	0.901491i	$0.357527\pi$
$660$	4604.30			0.271549
$661$	28986.9	+	10550.4i	1.70569	+	0.620820i	0.996453	−	0.0841502i	$-0.0268175\pi$
$661$	28986.9	+	10550.4i	1.70569	+	0.620820i	0.709237	+	0.704970i	$0.249040\pi$
$662$	−2185.48	−	12394.5i	−0.128310	−	0.727682i
$663$	481.574	−	404.088i	0.0282093	−	0.0236704i
$664$	−2656.12	−	2228.75i	−0.155237	−	0.130259i
$665$	−35783.4			−2.08665
$666$	−5822.25	−	3315.79i	−0.338750	−	0.192919i
$667$	3077.99			0.178681
$668$	−3154.63	−	2647.05i	−0.182719	−	0.153320i
$669$	−13390.5	+	11236.0i	−0.773852	+	0.649339i
$670$	5294.34	+	30025.7i	0.305281	+	1.73134i
$671$	−4945.06	−	1799.86i	−0.284504	−	0.103551i
$672$	−1415.63			−0.0812637
$673$	−15056.9	−	5480.25i	−0.862406	−	0.313890i	−0.127318	−	0.991862i	$-0.540637\pi$
$673$	−15056.9	−	5480.25i	−0.862406	−	0.313890i	−0.735088	+	0.677972i	$0.762859\pi$
$674$	5091.45	−	8818.64i	0.290972	−	0.503978i
$675$	5967.81	−	33845.1i	0.340298	−	1.92992i
$676$	4191.92	+	7260.62i	0.238503	+	0.413098i
$677$	−9986.35	+	17296.9i	−0.566923	+	0.981939i	0.429945	+	0.902855i	$0.358533\pi$
$677$	−9986.35	+	17296.9i	−0.566923	+	0.981939i	−0.996868	+	0.0790839i	$0.974801\pi$
$678$	−8258.05	−	6929.33i	−0.467771	−	0.392506i
$679$	−4029.47	−	22852.3i	−0.227742	−	1.29159i
$680$	1365.09	+	2364.40i	0.0769834	+	0.133339i
$681$	−7726.11	+	2812.07i	−0.434750	+	0.158236i
$682$	752.799	−	273.996i	0.0422671	−	0.0153840i
$683$	−1722.82	+	9770.61i	−0.0965182	+	0.547382i	0.897753	+	0.440499i	$0.145198\pi$
$683$	−1722.82	+	9770.61i	−0.0965182	+	0.547382i	−0.994272	+	0.106884i	$0.965913\pi$
$684$	6761.04	−	5673.19i	0.377946	−	0.317134i
$685$	17312.5	−	14526.9i	0.965661	−	0.810286i
$686$	−2315.02	+	13129.1i	−0.128845	+	0.730717i
$687$	−2911.76	+	1059.80i	−0.161704	+	0.0588555i
$688$	3493.15	−	1271.40i	0.193568	−	0.0704531i
$689$	2130.11	+	3689.45i	0.117780	+	0.204002i
$690$	911.356	+	5168.56i	0.0502822	+	0.285165i
$691$	17860.6	+	14986.8i	0.983286	+	0.825075i	0.984582	−	0.174925i	$-0.0559682\pi$
$691$	17860.6	+	14986.8i	0.983286	+	0.825075i	−0.00129623	+	0.999999i	$0.500413\pi$
$692$	−3726.09	+	6453.77i	−0.204689	+	0.354531i
$693$	−1647.11	−	2852.88i	−0.0902864	−	0.156381i
$694$	725.768	−	4116.04i	0.0396971	−	0.225134i
$695$	8308.49	−	14390.7i	0.453466	−	0.785426i
$696$	−2028.92	−	738.465i	−0.110497	−	0.0402176i
$697$	5716.47			0.310655
$698$	−9201.52	−	3349.08i	−0.498972	−	0.181611i
$699$	−3027.47	−	17169.6i	−0.163819	−	0.929062i
$700$	9180.87	−	7703.67i	0.495720	−	0.415959i
$701$	−6752.34	−	5665.89i	−0.363812	−	0.305275i	0.442496	−	0.896771i	$-0.354093\pi$
$701$	−6752.34	−	5665.89i	−0.363812	−	0.305275i	−0.806308	+	0.591496i	$0.798538\pi$
$702$	2930.86			0.157576
$703$	−28989.9	−	16509.9i	−1.55530	−	0.885748i
$704$	−1114.38			−0.0596586
$705$	21313.5	+	17884.2i	1.13860	+	0.955401i
$706$	−9506.90	+	7977.24i	−0.506795	+	0.425251i
$707$	3915.99	+	22208.7i	0.208311	+	1.18139i
$708$	8505.06	+	3095.59i	0.451468	+	0.164321i
$709$	2781.12			0.147316			0.0736580	−	0.997284i	$-0.476533\pi$
$709$	2781.12			0.147316			0.0736580	+	0.997284i	$0.476533\pi$
$710$	10912.7	+	3971.91i	0.576828	+	0.209948i
$711$	−5534.82	+	9586.59i	−0.291944	+	0.505662i
$712$	−1641.85	+	9311.41i	−0.0864200	+	0.490112i
$713$	456.581	+	790.821i	0.0239819	+	0.0415379i
$714$	−794.888	+	1376.79i	−0.0416638	+	0.0721638i
$715$	−2546.52	−	2136.78i	−0.133195	−	0.111764i
$716$	955.880	+	5421.07i	0.0498923	+	0.282954i
$717$	834.593	+	1445.56i	0.0434706	+	0.0752933i
$718$	−21432.2	+	7800.69i	−1.11399	+	0.405458i
$719$	−7257.99	+	2641.69i	−0.376463	+	0.137021i	−0.523320	−	0.852136i	$-0.675307\pi$
$719$	−7257.99	+	2641.69i	−0.376463	+	0.137021i	0.146856	+	0.989158i	$0.453084\pi$
$720$	−785.492	+	4454.75i	−0.0406577	+	0.230582i
$721$	13121.6	−	11010.3i	0.677771	−	0.568717i
$722$	23155.7	−	19429.9i	1.19358	−	1.00153i
$723$	3757.57	−	21310.3i	0.193286	−	1.09618i
$724$	9897.72	−	3602.48i	0.508075	−	0.184924i
$725$	17176.9	−	6251.87i	0.879907	−	0.320260i
$726$	−3577.44	−	6196.32i	−0.182881	−	0.316759i
$727$	−86.9933	−	493.364i	−0.00443797	−	0.0251690i	0.982508	−	0.186218i	$-0.0596232\pi$
$727$	−86.9933	−	493.364i	−0.00443797	−	0.0251690i	−0.986946	+	0.161050i	$0.948512\pi$
$728$	782.950	+	656.973i	0.0398600	+	0.0334465i
$729$	−7635.68	+	13225.4i	−0.387933	+	0.671919i
$730$	18897.6	+	32731.7i	0.958127	+	1.65952i
$731$	724.915	−	4111.19i	0.0366784	−	0.208014i
$732$	−2103.88	+	3644.03i	−0.106232	+	0.183999i
$733$	−27146.1	−	9880.36i	−1.36789	−	0.497871i	−0.449405	−	0.893328i	$-0.648364\pi$
$733$	−27146.1	−	9880.36i	−1.36789	−	0.497871i	−0.918484	+	0.395457i	$0.870586\pi$
$734$	26267.0			1.32089
$735$	−11272.3	−	4102.78i	−0.565693	−	0.205896i
$736$	−220.575	−	1250.94i	−0.0110469	−	0.0626500i
$737$	−10705.9	+	8983.31i	−0.535083	+	0.448988i
$738$	7255.43	+	6088.03i	0.361892	+	0.303663i
$739$	30922.7			1.53925			0.769627	−	0.638494i	$-0.220442\pi$
$739$	30922.7			1.53925			0.769627	+	0.638494i	$0.220442\pi$
$740$	16820.9	−	3068.49i	0.835606	−	0.152433i
$741$	5186.16			0.257110
$742$	−8253.02	−	6925.10i	−0.408326	−	0.342626i
$743$	5372.34	−	4507.93i	0.265265	−	0.222584i	−0.500447	−	0.865767i	$-0.666831\pi$
$743$	5372.34	−	4507.93i	0.265265	−	0.222584i	0.765712	+	0.643183i	$0.222387\pi$
$744$	−111.232	−	630.826i	−0.00548112	−	0.0310850i
$745$	8385.19	+	3051.96i	0.412362	+	0.150087i
$746$	16331.3			0.801518
$747$	−6062.42	−	2206.54i	−0.296937	−	0.108076i
$748$	−625.731	+	1083.80i	−0.0305869	+	0.0529780i
$749$	−2064.77	+	11709.9i	−0.100728	+	0.571257i
$750$	7320.51	+	12679.5i	0.356410	+	0.617320i
$751$	−4575.84	+	7925.59i	−0.222337	+	0.385099i	−0.955517	−	0.294936i	$-0.904702\pi$
$751$	−4575.84	+	7925.59i	−0.222337	+	0.385099i	0.733180	+	0.680034i	$0.238035\pi$
$752$	−5158.51	−	4328.50i	−0.250148	−	0.209899i
$753$	1904.08	+	10798.6i	0.0921493	+	0.522604i
$754$	779.432	+	1350.01i	0.0376462	+	0.0652051i
$755$	−3409.09	+	1240.81i	−0.164331	+	0.0598114i
$756$	−6964.78	+	2534.97i	−0.335062	+	0.121952i
$757$	−1343.03	+	7616.69i	−0.0644824	+	0.365698i	0.935443	+	0.353478i	$0.115001\pi$
$757$	−1343.03	+	7616.69i	−0.0644824	+	0.365698i	−0.999925	+	0.0122202i	$0.996110\pi$
$758$	−9607.01	+	8061.24i	−0.460346	+	0.386276i
$759$	−1842.89	+	1546.37i	−0.0881325	+	0.0739519i
$760$	−3911.09	+	22180.9i	−0.186671	+	1.05867i
$761$	−25198.3	+	9171.43i	−1.20031	+	0.436878i	−0.863333	−	0.504634i	$-0.831627\pi$
$761$	−25198.3	+	9171.43i	−1.20031	+	0.436878i	−0.336979	+	0.941512i	$0.609405\pi$
$762$	9262.28	−	3371.19i	0.440337	−	0.160270i
$763$	−10885.1	−	18853.6i	−0.516471	−	0.894555i
$764$	154.384	+	875.556i	0.00731076	+	0.0414614i
$765$	3891.45	+	3265.31i	0.183916	+	0.154324i
$766$	−9324.34	+	16150.2i	−0.439820	+	0.761790i
$767$	−3267.32	−	5659.16i	−0.153815	−	0.266415i
$768$	−154.727	+	877.502i	−0.00726984	+	0.0412293i
$769$	4535.66	−	7856.00i	0.212692	−	0.368393i	−0.739864	−	0.672756i	$-0.765110\pi$
$769$	4535.66	−	7856.00i	0.212692	−	0.368393i	0.952556	+	0.304363i	$0.0984436\pi$
$770$	7899.62	+	2875.23i	0.369717	+	0.134566i
$771$	9819.52			0.458679
$772$	2903.65	+	1056.84i	0.135369	+	0.0492702i
$773$	−5611.59	−	31824.9i	−0.261106	−	1.48080i	−0.779900	−	0.625905i	$-0.784730\pi$
$773$	−5611.59	−	31824.9i	−0.261106	−	1.48080i	0.518794	−	0.854899i	$-0.326381\pi$
$774$	5298.48	−	4445.96i	0.246060	−	0.206468i
$775$	4154.24	+	3485.82i	0.192548	+	0.161567i
$776$	−14605.8			−0.675665
$777$	6444.78	+	7589.13i	0.297562	+	0.350397i
$778$	−20607.5			−0.949633
$779$	36125.9	+	30313.2i	1.66155	+	1.39420i
$780$	−2036.16	+	1708.54i	−0.0934695	+	0.0784303i
$781$	924.369	+	5242.36i	0.0423515	+	0.240187i
$782$	−1340.47	−	487.892i	−0.0612982	−	0.0223107i
$783$	−11304.5			−0.515949
$784$	2728.23	+	992.993i	0.124281	+	0.0452347i
$785$	10305.2	−	17849.2i	0.468547	−	0.811546i
$786$	−745.076	+	4225.54i	−0.0338117	+	0.191756i
$787$	−8348.27	−	14459.6i	−0.378124	−	0.654931i	0.612665	−	0.790343i	$-0.290097\pi$
$787$	−8348.27	−	14459.6i	−0.378124	−	0.654931i	−0.990789	+	0.135412i	$0.956764\pi$
$788$	4781.50	−	8281.79i	0.216160	−	0.374399i
$789$	11722.2	+	9836.11i	0.528925	+	0.443821i
$790$	−4905.37	−	27819.7i	−0.220918	−	1.25289i
$791$	−9841.26	−	17045.6i	−0.442370	−	0.766208i
$792$	−1948.43	+	709.170i	−0.0874172	+	0.0318172i
$793$	2854.74	−	1039.04i	0.127837	−	0.0465289i
$794$	−1124.59	+	6377.89i	−0.0502649	+	0.285066i
$795$	21463.0	−	18009.6i	0.957503	−	0.803440i
$796$	9746.43	−	8178.23i	0.433986	−	0.364158i
$797$	−3130.23	+	17752.4i	−0.139120	+	0.788988i	0.832782	+	0.553601i	$0.186747\pi$
$797$	−3130.23	+	17752.4i	−0.139120	+	0.788988i	−0.971902	+	0.235387i	$0.924364\pi$
$798$	−12324.2	+	4485.64i	−0.546707	+	0.198985i
$799$	−7106.27	+	2586.47i	−0.314646	+	0.114522i
$800$	−3771.78	−	6532.91i	−0.166691	−	0.288717i
$801$	3054.93	+	17325.4i	0.134757	+	0.764246i
$802$	−13139.2	−	11025.1i	−0.578505	−	0.485423i
$803$	−8662.32	+	15003.6i	−0.380681	+	0.659358i
$804$	5587.32	+	9677.53i	0.245087	+	0.424503i
$805$	−1663.97	+	9436.83i	−0.0728536	+	0.413173i
$806$	−231.237	+	400.515i	−0.0101054	+	0.0175031i
$807$	15881.0	+	5780.23i	0.692738	+	0.252136i
$808$	14194.4			0.618018
$809$	−31481.5	−	11458.3i	−1.36815	−	0.497964i	−0.449582	−	0.893239i	$-0.648427\pi$
$809$	−31481.5	−	11458.3i	−1.36815	−	0.497964i	−0.918563	+	0.395275i	$0.870649\pi$
$810$	−696.073	−	3947.63i	−0.0301945	−	0.171241i
$811$	−9362.52	+	7856.09i	−0.405379	+	0.340153i	−0.822568	−	0.568666i	$-0.807460\pi$
$811$	−9362.52	+	7856.09i	−0.405379	+	0.340153i	0.417189	+	0.908820i	$0.363015\pi$
$812$	−3019.88	−	2533.98i	−0.130513	−	0.109514i
$813$	21303.3			0.918991
$814$	5073.29	+	5974.11i	0.218451	+	0.257239i
$815$	72179.9			3.10227
$816$	766.543	+	643.206i	0.0328853	+	0.0275940i
$817$	26382.0	−	22137.1i	1.12973	−	0.947955i
$818$	−2403.70	−	13632.1i	−0.102743	−	0.582683i
$819$	1787.03	+	650.427i	0.0762442	+	0.0277506i
$820$	−24170.0			−1.02933
$821$	10767.2	+	3918.94i	0.457707	+	0.166592i	0.560576	−	0.828103i	$-0.310580\pi$
$821$	10767.2	+	3918.94i	0.457707	+	0.166592i	−0.102868	+	0.994695i	$0.532802\pi$
$822$	4141.60	−	7173.47i	0.175736	−	0.304384i
$823$	6440.48	−	36525.8i	0.272784	−	1.54703i	−0.473132	−	0.880992i	$-0.656877\pi$
$823$	6440.48	−	36525.8i	0.272784	−	1.54703i	0.745915	−	0.666041i	$-0.232012\pi$
$824$	−5390.74	−	9337.03i	−0.227907	−	0.394746i
$825$	−7143.40	+	12372.7i	−0.301456	+	0.522137i
$826$	12659.1	+	10622.2i	0.533252	+	0.447451i
$827$	−3071.01	−	17416.5i	−0.129129	−	0.732325i	−0.978770	−	0.204963i	$-0.934292\pi$
$827$	−3071.01	−	17416.5i	−0.129129	−	0.732325i	0.849641	−	0.527362i	$-0.176819\pi$
$828$	−1181.74	−	2046.84i	−0.0495995	−	0.0859089i
$829$	−1386.84	+	504.768i	−0.0581024	+	0.0211475i	−0.370908	−	0.928670i	$-0.620953\pi$
$829$	−1386.84	+	504.768i	−0.0581024	+	0.0211475i	0.312805	+	0.949817i	$0.398731\pi$
$830$	15470.8	−	5630.92i	0.646989	−	0.235485i
$831$	−1836.46	+	10415.1i	−0.0766620	+	0.434772i
$832$	492.811	−	413.518i	0.0205350	−	0.0172309i
$833$	2497.67	−	2095.79i	0.103888	−	0.0871727i
$834$	1057.58	−	5997.85i	0.0439102	−	0.249027i
$835$	18374.5	−	6687.77i	0.761528	−	0.277174i
$836$	−9701.53	+	3531.07i	−0.401357	+	0.146082i
$837$	−1676.87	−	2904.43i	−0.0692487	−	0.119942i
$838$	−4949.31	−	28068.9i	−0.204023	−	1.15707i
$839$	−8281.89	−	6949.33i	−0.340790	−	0.285957i	0.456289	−	0.889832i	$-0.349178\pi$
$839$	−8281.89	−	6949.33i	−0.340790	−	0.285957i	−0.797079	+	0.603875i	$0.793623\pi$
$840$	3360.90	−	5821.24i	0.138050	−	0.239110i
$841$	9188.19	+	15914.4i	0.376735	+	0.652525i
$842$	−2032.07	+	11524.5i	−0.0831709	+	0.471685i
$843$	−6438.07	+	11151.1i	−0.263036	+	0.455591i
$844$	−5778.20	−	2103.09i	−0.235656	−	0.0857718i
$845$	−39808.7			−1.62066
$846$	−11774.0	−	4285.37i	−0.478484	−	0.174154i
$847$	−2268.45	−	12865.0i	−0.0920248	−	0.521899i
$848$	−5194.68	+	4358.86i	−0.210361	+	0.176514i
$849$	−16153.4	−	13554.3i	−0.652986	−	0.547920i
$850$	−8471.54			−0.341849
$851$	−5702.06	+	6877.52i	−0.229688	+	0.277037i
$852$	4256.38			0.171151
$853$	24170.2	+	20281.2i	0.970191	+	0.814087i	0.982581	−	0.185836i	$-0.0594995\pi$
$853$	24170.2	+	20281.2i	0.970191	+	0.814087i	−0.0123898	+	0.999923i	$0.503944\pi$
$854$	−5885.21	+	4938.27i	−0.235817	+	0.197874i
$855$	7277.21	+	41271.1i	0.291082	+	1.65081i
$856$	7032.90	+	2559.77i	0.280817	+	0.102209i
$857$	−1169.47			−0.0466140			−0.0233070	−	0.999728i	$-0.507420\pi$
$857$	−1169.47			−0.0466140			−0.0233070	+	0.999728i	$0.507420\pi$
$858$	−1144.91	−	416.713i	−0.0455554	−	0.0165808i
$859$	−17016.3	+	29473.1i	−0.675888	+	1.17067i	0.300320	+	0.953838i	$0.402906\pi$
$859$	−17016.3	+	29473.1i	−0.675888	+	1.17067i	−0.976208	+	0.216834i	$0.930427\pi$
$860$	−3065.04	+	17382.7i	−0.121531	+	0.689238i
$861$	−7037.08	−	12188.6i	−0.278540	−	0.482446i
$862$	12240.9	−	21201.9i	0.483674	−	0.837747i
$863$	1199.08	+	1006.15i	0.0472969	+	0.0396868i	0.666130	−	0.745836i	$-0.267950\pi$
$863$	1199.08	+	1006.15i	0.0472969	+	0.0396868i	−0.618833	+	0.785523i	$0.712394\pi$
$864$	810.099	+	4594.30i	0.0318983	+	0.180904i
$865$	−17692.4	−	30644.2i	−0.695446	−	1.20455i
$866$	18152.1	−	6606.81i	0.712277	−	0.259248i
$867$	−15013.0	+	5464.30i	−0.588085	+	0.214045i
$868$	203.089	−	1151.77i	0.00794156	−	0.0450388i
$869$	9919.33	−	8323.31i	0.387216	−	0.324912i
$870$	7853.57	−	6589.93i	0.306047	−	0.256804i
$871$	1400.99	−	7945.38i	0.0545013	−	0.309092i
$872$	−12876.4	+	4686.64i	−0.500058	+	0.182006i
$873$	−25537.4	+	9294.86i	−0.990047	+	0.360348i
$874$	−5884.09	−	10191.5i	−0.227726	−	0.394432i
$875$	4641.93	+	26325.7i	0.179344	+	1.01711i
$876$	10611.7	+	8904.24i	0.409286	+	0.343432i
$877$	4194.92	−	7265.82i	0.161519	−	0.279760i	−0.773894	−	0.633315i	$-0.781694\pi$
$877$	4194.92	−	7265.82i	0.161519	−	0.279760i	0.935414	+	0.353555i	$0.115027\pi$
$878$	3482.24	+	6031.42i	0.133850	+	0.231834i
$879$	−501.358	+	2843.34i	−0.0192382	+	0.109105i
$880$	2645.68	−	4582.44i	0.101347	−	0.175539i
$881$	1860.67	+	677.227i	0.0711549	+	0.0258983i	0.377352	−	0.926070i	$-0.376835\pi$
$881$	1860.67	+	677.227i	0.0711549	+	0.0258983i	−0.306197	+	0.951968i	$0.599057\pi$
$882$	5402.09			0.206233
$883$	−23677.1	−	8617.77i	−0.902377	−	0.328438i	−0.151172	−	0.988507i	$-0.548305\pi$
$883$	−23677.1	−	8617.77i	−0.902377	−	0.328438i	−0.751205	+	0.660069i	$0.770527\pi$
$884$	−125.453	−	711.482i	−0.00477314	−	0.0270698i
$885$	−32921.6	+	27624.5i	−1.25045	+	1.04925i
$886$	−6773.71	−	5683.81i	−0.256848	−	0.215521i
$887$	291.462			0.0110331			0.00551653	−	0.999985i	$-0.498244\pi$
$887$	291.462			0.0110331			0.00551653	+	0.999985i	$0.498244\pi$
$888$	5408.66	−	3165.42i	0.204395	−	0.119622i
$889$	17996.5			0.678947
$890$	−34391.6	−	28858.0i	−1.29529	−	1.08688i
$891$	1407.56	−	1181.08i	0.0529235	−	0.0444081i
$892$	3488.32	+	19783.3i	0.130939	+	0.742593i
$893$	−58624.4	−	21337.5i	−2.19686	−	0.799590i
$894$	3270.54			0.122352
$895$	−24561.4	−	8939.64i	−0.917317	−	0.333876i
$896$	−813.436	+	1408.91i	−0.0303292	+	0.0525318i
$897$	241.162	−	1367.70i	0.00897679	−	0.0509099i
$898$	−8707.97	−	15082.6i	−0.323595	−	0.560484i
$899$	891.894	−	1544.81i	0.0330882	−	0.0573105i
$900$	−10752.2	−	9022.17i	−0.398230	−	0.334154i
$901$	1322.39	+	7499.67i	0.0488961	+	0.277303i
$902$	−5539.54	−	9594.77i	−0.204486	−	0.354181i
$903$	−9658.22	+	3515.30i	−0.355931	+	0.129548i
$904$	−11641.6	+	4237.20i	−0.428312	+	0.155893i
$905$	−8684.70	+	49253.4i	−0.318993	+	1.80910i
$906$	−1018.59	+	854.697i	−0.0373514	+	0.0313415i
$907$	1801.63	−	1511.75i	0.0659562	−	0.0553438i	−0.609214	−	0.793006i	$-0.708515\pi$
$907$	1801.63	−	1511.75i	0.0659562	−	0.0553438i	0.675170	+	0.737662i	$0.264070\pi$
$908$	−1640.77	+	9305.28i	−0.0599680	+	0.340095i
$909$	24818.2	−	9033.10i	0.905576	−	0.329603i
$910$	−4560.38	+	1659.84i	−0.166126	+	0.0604651i
$911$	3198.99	+	5540.81i	0.116342	+	0.201510i	0.918315	−	0.395850i	$-0.129550\pi$
$911$	3198.99	+	5540.81i	0.116342	+	0.201510i	−0.801974	+	0.597359i	$0.796217\pi$
$912$	1433.47	+	8129.63i	0.0520472	+	0.295174i
$913$	5781.08	+	4850.90i	0.209557	+	0.175839i
$914$	−8085.97	+	14005.3i	−0.292626	+	0.506843i
$915$	−9989.78	−	17302.8i	−0.360931	−	0.625151i
$916$	−618.363	+	3506.91i	−0.0223049	+	0.126497i
$917$	−3917.03	+	6784.50i	−0.141060	+	0.244323i
$918$	4923.11	+	1791.87i	0.177001	+	0.0644231i
$919$	−1082.30			−0.0388486			−0.0194243	−	0.999811i	$-0.506183\pi$
$919$	−1082.30			−0.0388486			−0.0194243	+	0.999811i	$0.506183\pi$
$920$	5667.70	+	2062.87i	0.203107	+	0.0739250i
$921$	852.508	+	4834.81i	0.0305007	+	0.172978i
$922$	9696.70	−	8136.49i	0.346360	−	0.290630i
$923$	−2354.09	−	1975.32i	−0.0839501	−	0.0704425i
$924$	3081.14			0.109699
$925$	−17851.3	+	49962.0i	−0.634537	+	1.77593i
$926$	−13168.2			−0.467315
$927$	−15367.4	−	12894.7i	−0.544477	−	0.456870i
$928$	−1900.80	+	1594.96i	−0.0672378	+	0.0564192i
$929$	1362.37	+	7726.36i	0.0481138	+	0.272867i	0.999368	−	0.0355401i	$-0.0113151\pi$
$929$	1362.37	+	7726.36i	0.0481138	+	0.272867i	−0.951254	+	0.308407i	$0.900204\pi$
$930$	2858.11	+	1040.27i	0.100775	+	0.0366793i
$931$	26897.8			0.946875
$932$	−18827.7	−	6852.74i	−0.661720	−	0.240846i
$933$	−1804.65	+	3125.74i	−0.0633241	+	0.109681i
$934$	−2111.53	+	11975.1i	−0.0739738	+	0.419526i
$935$	−2971.14	−	5146.16i	−0.103921	−	0.179997i
$936$	598.499	−	1036.63i	0.0209002	−	0.0362001i
$937$	11224.0	+	9418.06i	0.391326	+	0.328361i	0.817129	−	0.576454i	$-0.195564\pi$
$937$	11224.0	+	9418.06i	0.391326	+	0.328361i	−0.425804	+	0.904816i	$0.640009\pi$
$938$	3542.92	+	20092.9i	0.123327	+	0.699420i
$939$	1683.94	+	2916.67i	0.0585233	+	0.101365i
$940$	30046.3	−	10936.0i	1.04256	−	0.379459i
$941$	43217.0	−	15729.7i	1.49717	−	0.544924i	0.541841	−	0.840481i	$-0.317727\pi$
$941$	43217.0	−	15729.7i	1.49717	−	0.544924i	0.955325	+	0.295557i	$0.0955053\pi$
$942$	1311.74	−	7439.27i	0.0453704	−	0.257309i
$943$	9674.14	−	8117.57i	0.334076	−	0.280323i
$944$	7967.99	−	6685.94i	0.274720	−	0.230518i
$945$	6111.20	−	34658.4i	0.210368	−	1.19305i
$946$	−7602.88	+	2767.22i	−0.261301	+	0.0951059i
$947$	42244.7	−	15375.8i	1.44960	−	0.527610i	0.507117	−	0.861877i	$-0.330711\pi$
$947$	42244.7	−	15375.8i	1.44960	−	0.527610i	0.942478	+	0.334268i	$0.108489\pi$
$948$	−5176.83	−	8966.52i	−0.177358	−	0.307193i
$949$	−1736.72	−	9849.41i	−0.0594059	−	0.336908i
$950$	−53536.9	−	44922.8i	−1.82838	−	1.53420i
$951$	3141.83	−	5441.82i	0.107130	−	0.185555i
$952$	913.502	+	1582.23i	0.0310995	+	0.0538660i
$953$	4717.98	−	26757.0i	0.160368	−	0.909490i	−0.793346	−	0.608772i	$-0.791663\pi$
$953$	4717.98	−	26757.0i	0.160368	−	0.909490i	0.953713	−	0.300718i	$-0.0972263\pi$
$954$	−6308.73	+	10927.0i	−0.214101	+	0.370834i
$955$	−3966.92	−	1443.84i	−0.134415	−	0.0489231i
$956$	1918.26			0.0648965
$957$	4415.97	+	1607.28i	0.149162	+	0.0542905i
$958$	3616.99	+	20512.9i	0.121983	+	0.691799i
$959$	11585.4	−	9721.27i	0.390105	−	0.327337i
$960$	−3241.05	−	2719.56i	−0.108963	−	0.0914307i
$961$	−29261.8			−0.982236
$962$	−4460.41	−	759.363i	−0.149490	−	0.0254499i
$963$	13925.7			0.465990
$964$	−19050.0	−	15984.8i	−0.636471	−	0.534063i
$965$	−11239.5	+	9431.08i	−0.374936	+	0.314608i
$966$	609.869	+	3458.74i	0.0203129	+	0.115200i
$967$	−2874.29	−	1046.16i	−0.0955852	−	0.0347902i	0.293785	−	0.955872i	$-0.405085\pi$
$967$	−2874.29	−	1046.16i	−0.0955852	−	0.0347902i	−0.389370	+	0.921081i	$0.627307\pi$
$968$	−8222.54			−0.273019
$969$	8711.46	+	3170.71i	0.288805	+	0.105117i
$970$	34676.0	−	60060.6i	1.14781	−	1.98807i
$971$	−4643.53	+	26334.7i	−0.153468	+	0.870363i	0.806704	+	0.590955i	$0.201249\pi$
$971$	−4643.53	+	26334.7i	−0.153468	+	0.870363i	−0.960173	+	0.279407i	$0.909862\pi$
$972$	7137.89	+	12363.2i	0.235543	+	0.407973i
$973$	5559.95	−	9630.11i	0.183190	−	0.317294i
$974$	10327.2	+	8665.56i	0.339738	+	0.285074i
$975$	−1432.19	−	8122.34i	−0.0470428	−	0.266793i
$976$	2417.82	+	4187.79i	0.0792957	+	0.137344i
$977$	1791.18	−	651.936i	0.0586539	−	0.0213483i	−0.312527	−	0.949909i	$-0.601175\pi$
$977$	1791.18	−	651.936i	0.0586539	−	0.0213483i	0.371181	+	0.928561i	$0.378953\pi$
$978$	24859.6	−	9048.15i	0.812804	−	0.295836i
$979$	3573.52	−	20266.4i	0.116660	−	0.661611i
$980$	−10560.5	+	8861.29i	−0.344227	+	0.288840i
$981$	−19531.3	+	16388.7i	−0.635663	+	0.533384i
$982$	−1058.87	+	6005.17i	−0.0344094	+	0.195145i
$983$	20939.3	−	7621.27i	0.679409	−	0.247285i	0.0208152	−	0.999783i	$-0.493374\pi$
$983$	20939.3	−	7621.27i	0.679409	−	0.247285i	0.658594	+	0.752499i	$0.271152\pi$
$984$	−8324.44	+	3029.85i	−0.269688	+	0.0981585i
$985$	22703.8	+	39324.1i	0.734420	+	1.27205i
$986$	483.880	+	2744.22i	0.0156287	+	0.0886346i
$987$	14262.8	+	11967.9i	0.459969	+	0.385960i
$988$	2980.02	−	5161.55i	0.0959586	−	0.166205i
$989$	−4611.23	−	7986.89i	−0.148260	−	0.256793i
$990$	1709.64	−	9695.83i	0.0548847	−	0.311266i
$991$	6595.97	−	11424.6i	0.211431	−	0.366209i	−0.740732	−	0.671801i	$-0.765521\pi$
$991$	6595.97	−	11424.6i	0.211431	−	0.366209i	0.952163	+	0.305592i	$0.0988544\pi$
$992$	−691.747	−	251.775i	−0.0221401	−	0.00805834i
$993$	21903.0			0.699971
$994$	7302.69	+	2657.96i	0.233025	+	0.0848143i
$995$	10490.5	+	59494.7i	0.334243	+	1.89559i
$996$	4622.47	−	3878.71i	0.147057	−	0.123395i
$997$	27380.0	+	22974.6i	0.869743	+	0.729801i	0.964044	−	0.265743i	$-0.0856172\pi$
$997$	27380.0	+	22974.6i	0.869743	+	0.729801i	−0.0943010	+	0.995544i	$0.530062\pi$
$998$	−11505.3			−0.364925
$999$	20941.8	−	25258.9i	0.663232	−	0.799955i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	74.4.f.b.71.2	yes	30
37.12	even	9	inner	74.4.f.b.49.2	✓	30

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
74.4.f.b.49.2	✓	30	37.12	even	9	inner
74.4.f.b.71.2	yes	30	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:	\( N \)	\(=\)	\( 74 = 2 \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	74.f (of order \(9\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(1.53209 + 1.28558i) q^{2} +(-2.66631 + 2.23730i) q^{3} +(0.694593 + 3.93923i) q^{4} +(-17.8476 - 6.49601i) q^{5} -6.96124 q^{6} +(-11.9434 - 4.34706i) q^{7} +(-4.00000 + 6.92820i) q^{8} +(-2.58480 + 14.6591i) q^{9} +O(q^{10})\)	\(q+(1.53209 + 1.28558i) q^{2} +(-2.66631 + 2.23730i) q^{3} +(0.694593 + 3.93923i) q^{4} +(-17.8476 - 6.49601i) q^{5} -6.96124 q^{6} +(-11.9434 - 4.34706i) q^{7} +(-4.00000 + 6.92820i) q^{8} +(-2.58480 + 14.6591i) q^{9} +(-18.9931 - 32.8969i) q^{10} +(8.70606 - 15.0793i) q^{11} +(-10.6652 - 8.94920i) q^{12} +(1.74549 + 9.89915i) q^{13} +(-12.7099 - 22.0143i) q^{14} +(62.1209 - 22.6101i) q^{15} +(-15.0351 + 5.47232i) q^{16} +(-3.12015 + 17.6953i) q^{17} +(-22.8056 + 19.1361i) q^{18} +(-113.552 + 95.2818i) q^{19} +(13.1924 - 74.8180i) q^{20} +(41.5706 - 15.1305i) q^{21} +(32.7241 - 11.9106i) q^{22} +(19.8475 + 34.3769i) q^{23} +(-4.83523 - 27.4219i) q^{24} +(180.584 + 151.528i) q^{25} +(-10.0519 + 17.4103i) q^{26} +(-72.8934 - 126.255i) q^{27} +(8.82823 - 50.0674i) q^{28} +(38.7705 - 67.1525i) q^{29} +(124.242 + 45.2203i) q^{30} +23.0044 q^{31} +(-30.0702 - 10.9446i) q^{32} +(10.5239 + 59.6843i) q^{33} +(-27.5290 + 23.0995i) q^{34} +(184.924 + 155.169i) q^{35} -59.5411 q^{36} +(78.2232 + 211.031i) q^{37} -296.464 q^{38} +(-26.8014 - 22.4890i) q^{39} +(116.396 - 97.6680i) q^{40} +(-55.2449 - 313.310i) q^{41} +(83.1412 + 30.2609i) q^{42} -232.333 q^{43} +(65.4482 + 23.8212i) q^{44} +(141.358 - 244.840i) q^{45} +(-13.7859 + 78.1840i) q^{46} +(210.436 + 364.486i) q^{47} +(27.8450 - 48.2289i) q^{48} +(-139.004 - 116.639i) q^{49} +(81.8703 + 464.310i) q^{50} +(-31.2703 - 54.1618i) q^{51} +(-37.7826 + 13.7518i) q^{52} +(398.264 - 144.956i) q^{53} +(50.6312 - 287.144i) q^{54} +(-253.338 + 212.576i) q^{55} +(77.8910 - 65.3583i) q^{56} +(89.5921 - 508.102i) q^{57} +(145.729 - 53.0412i) q^{58} +(-610.887 + 222.345i) q^{59} +(132.215 + 229.004i) q^{60} +(-52.4813 - 297.636i) q^{61} +(35.2448 + 29.5739i) q^{62} +(94.5955 - 163.844i) q^{63} +(-32.0000 - 55.4256i) q^{64} +(33.1521 - 188.015i) q^{65} +(-60.6050 + 104.971i) q^{66} +(-754.228 - 274.517i) q^{67} -71.8730 q^{68} +(-129.831 - 47.2547i) q^{69} +(83.8376 + 475.467i) q^{70} +(-234.195 + 196.513i) q^{71} +(-91.2223 - 76.5446i) q^{72} -994.976 q^{73} +(-151.451 + 423.880i) q^{74} -820.509 q^{75} +(-454.210 - 381.127i) q^{76} +(-169.531 + 142.253i) q^{77} +(-12.1508 - 68.9104i) q^{78} +(698.816 + 254.348i) q^{79} +303.889 q^{80} +(99.1621 + 36.0920i) q^{81} +(318.143 - 551.040i) q^{82} +(-75.2616 + 426.830i) q^{83} +(88.4770 + 153.247i) q^{84} +(170.636 - 295.550i) q^{85} +(-355.955 - 298.682i) q^{86} +(46.8661 + 265.791i) q^{87} +(69.6485 + 120.635i) q^{88} +(1110.61 - 404.227i) q^{89} +(531.334 - 193.390i) q^{90} +(22.1850 - 125.818i) q^{91} +(-121.633 + 102.062i) q^{92} +(-61.3370 + 51.4678i) q^{93} +(-146.167 + 828.956i) q^{94} +(2645.60 - 962.918i) q^{95} +(104.663 - 38.0942i) q^{96} +(912.860 + 1581.12i) q^{97} +(-63.0195 - 357.401i) q^{98} +(198.547 + 166.600i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 30 q + 6 q^{3} - 6 q^{5} - 36 q^{6} - 75 q^{7} - 120 q^{8} - 48 q^{9}+O(q^{10}) \) 30 * q + 6 * q^3 - 6 * q^5 - 36 * q^6 - 75 * q^7 - 120 * q^8 - 48 * q^9	\( 30 q + 6 q^{3} - 6 q^{5} - 36 q^{6} - 75 q^{7} - 120 q^{8} - 48 q^{9} + 54 q^{10} - 21 q^{11} + 24 q^{12} - 159 q^{13} + 6 q^{14} - 69 q^{15} - 171 q^{17} + 192 q^{18} - 45 q^{19} - 24 q^{20} + 579 q^{21} + 42 q^{22} + 459 q^{23} + 48 q^{24} - 204 q^{25} + 264 q^{26} + 435 q^{27} + 96 q^{28} + 273 q^{29} - 138 q^{30} - 258 q^{31} - 318 q^{33} - 558 q^{34} - 753 q^{35} + 1296 q^{36} - 891 q^{37} - 2556 q^{38} - 504 q^{39} + 96 q^{40} + 648 q^{41} + 1158 q^{42} - 216 q^{43} + 84 q^{44} + 1731 q^{45} - 6 q^{46} + 48 q^{47} + 144 q^{48} + 1731 q^{49} + 240 q^{50} + 972 q^{51} + 48 q^{52} - 135 q^{53} + 360 q^{54} + 765 q^{55} + 408 q^{56} - 405 q^{57} - 762 q^{58} + 1836 q^{59} + 108 q^{60} - 684 q^{61} - 204 q^{62} - 3264 q^{63} - 960 q^{64} - 1350 q^{65} + 252 q^{66} + 1095 q^{67} - 432 q^{68} - 5823 q^{69} - 1146 q^{70} + 4179 q^{71} + 768 q^{72} - 2658 q^{73} - 1692 q^{74} - 10416 q^{75} - 180 q^{76} + 267 q^{77} + 1530 q^{78} + 4866 q^{79} - 864 q^{80} - 2076 q^{81} + 1800 q^{82} - 186 q^{83} + 504 q^{84} + 753 q^{85} + 648 q^{86} - 525 q^{87} - 168 q^{88} + 687 q^{89} + 768 q^{90} + 3990 q^{91} + 132 q^{92} + 3753 q^{93} + 6210 q^{94} + 9000 q^{95} - 384 q^{96} + 7428 q^{97} - 1542 q^{98} + 6324 q^{99}+O(q^{100}) \) 30 * q + 6 * q^3 - 6 * q^5 - 36 * q^6 - 75 * q^7 - 120 * q^8 - 48 * q^9 + 54 * q^10 - 21 * q^11 + 24 * q^12 - 159 * q^13 + 6 * q^14 - 69 * q^15 - 171 * q^17 + 192 * q^18 - 45 * q^19 - 24 * q^20 + 579 * q^21 + 42 * q^22 + 459 * q^23 + 48 * q^24 - 204 * q^25 + 264 * q^26 + 435 * q^27 + 96 * q^28 + 273 * q^29 - 138 * q^30 - 258 * q^31 - 318 * q^33 - 558 * q^34 - 753 * q^35 + 1296 * q^36 - 891 * q^37 - 2556 * q^38 - 504 * q^39 + 96 * q^40 + 648 * q^41 + 1158 * q^42 - 216 * q^43 + 84 * q^44 + 1731 * q^45 - 6 * q^46 + 48 * q^47 + 144 * q^48 + 1731 * q^49 + 240 * q^50 + 972 * q^51 + 48 * q^52 - 135 * q^53 + 360 * q^54 + 765 * q^55 + 408 * q^56 - 405 * q^57 - 762 * q^58 + 1836 * q^59 + 108 * q^60 - 684 * q^61 - 204 * q^62 - 3264 * q^63 - 960 * q^64 - 1350 * q^65 + 252 * q^66 + 1095 * q^67 - 432 * q^68 - 5823 * q^69 - 1146 * q^70 + 4179 * q^71 + 768 * q^72 - 2658 * q^73 - 1692 * q^74 - 10416 * q^75 - 180 * q^76 + 267 * q^77 + 1530 * q^78 + 4866 * q^79 - 864 * q^80 - 2076 * q^81 + 1800 * q^82 - 186 * q^83 + 504 * q^84 + 753 * q^85 + 648 * q^86 - 525 * q^87 - 168 * q^88 + 687 * q^89 + 768 * q^90 + 3990 * q^91 + 132 * q^92 + 3753 * q^93 + 6210 * q^94 + 9000 * q^95 - 384 * q^96 + 7428 * q^97 - 1542 * q^98 + 6324 * q^99

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