LMFDB - Embedded newform 49.4.e.a.43.7

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			43.7
Character	$\chi$	$=$	49.43
Dual form			49.4.e.a.8.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.153998 - 0.193108i) q^{2} +(-8.98937 - 4.32905i) q^{3} +(1.76659 + 7.73995i) q^{4} +(14.2902 + 6.88179i) q^{5} +(-2.22032 + 1.06925i) q^{6} +(-13.6848 + 12.4791i) q^{7} +(3.54697 + 1.70813i) q^{8} +(45.2339 + 56.7215i) q^{9} +O(q^{10})$	\(q+(0.153998 - 0.193108i) q^{2} +(-8.98937 - 4.32905i) q^{3} +(1.76659 + 7.73995i) q^{4} +(14.2902 + 6.88179i) q^{5} +(-2.22032 + 1.06925i) q^{6} +(-13.6848 + 12.4791i) q^{7} +(3.54697 + 1.70813i) q^{8} +(45.2339 + 56.7215i) q^{9} +(3.52959 - 1.69976i) q^{10} +(-13.9285 + 17.4658i) q^{11} +(17.6261 - 77.2249i) q^{12} +(-10.6896 + 13.4043i) q^{13} +(0.302377 + 4.56439i) q^{14} +(-98.6682 - 123.726i) q^{15} +(-56.3462 + 27.1349i) q^{16} +(12.1785 - 53.3575i) q^{17} +17.9193 q^{18} +2.07357 q^{19} +(-28.0198 + 122.763i) q^{20} +(177.040 - 52.9370i) q^{21} +(1.22781 + 5.37940i) q^{22} +(22.4625 + 98.4148i) q^{23} +(-24.4904 - 30.7100i) q^{24} +(78.9141 + 98.9552i) q^{25} +(0.942301 + 4.12849i) q^{26} +(-101.129 - 443.074i) q^{27} +(-120.763 - 83.8739i) q^{28} +(-27.8072 + 121.831i) q^{29} -39.0872 q^{30} +155.641 q^{31} +(-10.4455 + 45.7647i) q^{32} +(200.819 - 96.7092i) q^{33} +(-8.42828 - 10.5687i) q^{34} +(-281.436 + 84.1527i) q^{35} +(-359.112 + 450.312i) q^{36} +(47.3283 - 207.359i) q^{37} +(0.319326 - 0.400423i) q^{38} +(154.121 - 74.2207i) q^{39} +(38.9318 + 48.8190i) q^{40} +(11.6961 + 5.63257i) q^{41} +(17.0413 - 42.3400i) q^{42} +(310.966 - 149.753i) q^{43} +(-159.790 - 76.9509i) q^{44} +(256.055 + 1121.85i) q^{45} +(22.4639 + 10.8180i) q^{46} +(-67.8488 + 85.0797i) q^{47} +623.986 q^{48} +(31.5452 - 341.546i) q^{49} +31.2617 q^{50} +(-340.464 + 426.929i) q^{51} +(-122.633 - 59.0569i) q^{52} +(-47.9243 - 209.970i) q^{53} +(-101.135 - 48.7039i) q^{54} +(-319.237 + 153.736i) q^{55} +(-69.8553 + 20.8876i) q^{56} +(-18.6401 - 8.97660i) q^{57} +(19.2443 + 24.1316i) q^{58} +(7.09251 - 3.41558i) q^{59} +(783.326 - 982.260i) q^{60} +(-25.9624 + 113.749i) q^{61} +(23.9684 - 30.0554i) q^{62} +(-1326.85 - 211.743i) q^{63} +(-304.713 - 382.098i) q^{64} +(-245.002 + 117.987i) q^{65} +(12.2505 - 53.6727i) q^{66} +258.343 q^{67} +434.498 q^{68} +(224.119 - 981.929i) q^{69} +(-27.0902 + 67.3069i) q^{70} +(82.2389 + 360.312i) q^{71} +(63.5555 + 278.455i) q^{72} +(113.679 + 142.549i) q^{73} +(-32.7541 - 41.0724i) q^{74} +(-281.006 - 1231.17i) q^{75} +(3.66315 + 16.0493i) q^{76} +(-27.3488 - 412.830i) q^{77} +(9.40176 - 41.1918i) q^{78} +1376.86 q^{79} -991.935 q^{80} +(-573.124 + 2511.02i) q^{81} +(2.88888 - 1.39121i) q^{82} +(-92.9045 - 116.499i) q^{83} +(722.487 + 1276.76i) q^{84} +(541.228 - 678.678i) q^{85} +(18.9697 - 83.1117i) q^{86} +(777.384 - 974.809i) q^{87} +(-79.2378 + 38.1589i) q^{88} +(725.229 + 909.408i) q^{89} +(256.070 + 123.317i) q^{90} +(-20.9892 - 316.831i) q^{91} +(-722.043 + 347.718i) q^{92} +(-1399.11 - 673.777i) q^{93} +(5.98095 + 26.2043i) q^{94} +(29.6317 + 14.2699i) q^{95} +(292.016 - 366.177i) q^{96} -1237.31 q^{97} +(-61.0974 - 58.6892i) q^{98} -1620.73 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 $

$2$	0.153998	−	0.193108i	0.0544466	−	0.0682739i	−0.753863	−	0.657032i	$-0.771812\pi$
$2$	0.153998	−	0.193108i	0.0544466	−	0.0682739i	0.808309	+	0.588758i	$0.200383\pi$
$3$	−8.98937	−	4.32905i	−1.73001	−	0.833127i	−0.986370	−	0.164541i	$-0.947386\pi$
$3$	−8.98937	−	4.32905i	−1.73001	−	0.833127i	−0.743635	−	0.668585i	$-0.766900\pi$
$4$	1.76659	+	7.73995i	0.220824	+	0.967493i
$5$	14.2902	+	6.88179i	1.27815	+	0.615526i	0.944915	−	0.327317i	$-0.106144\pi$
$5$	14.2902	+	6.88179i	1.27815	+	0.615526i	0.333238	+	0.942843i	$0.391859\pi$
$6$	−2.22032	+	1.06925i	−0.151074	+	0.0727533i
$7$	−13.6848	+	12.4791i	−0.738907	+	0.673807i
$7$	−13.6848	+	12.4791i	−0.738907	+	0.673807i
$8$	3.54697	+	1.70813i	0.156755	+	0.0754894i
$9$	45.2339	+	56.7215i	1.67533	+	2.10080i
$10$	3.52959	−	1.69976i	0.111616	−	0.0537512i
$11$	−13.9285	+	17.4658i	−0.381782	+	0.478739i	−0.935178	−	0.354179i	$-0.884760\pi$
$11$	−13.9285	+	17.4658i	−0.381782	+	0.478739i	0.553396	+	0.832918i	$0.313332\pi$
$12$	17.6261	−	77.2249i	0.424018	−	1.85774i
$13$	−10.6896	+	13.4043i	−0.228059	+	0.285976i	−0.882674	−	0.469986i	$-0.844259\pi$
$13$	−10.6896	+	13.4043i	−0.228059	+	0.285976i	0.654615	+	0.755962i	$0.272831\pi$
$14$	0.302377	+	4.56439i	0.00577241	+	0.0871346i
$15$	−98.6682	−	123.726i	−1.69840	−	2.12973i
$16$	−56.3462	+	27.1349i	−0.880410	+	0.423983i
$17$	12.1785	−	53.3575i	0.173748	−	0.761240i	−0.810685	−	0.585482i	$-0.800905\pi$
$17$	12.1785	−	53.3575i	0.173748	−	0.761240i	0.984433	−	0.175758i	$-0.0562377\pi$
$18$	17.9193			0.234646
$19$	2.07357			0.0250374			0.0125187	−	0.999922i	$-0.496015\pi$
$19$	2.07357			0.0250374			0.0125187	+	0.999922i	$0.496015\pi$
$20$	−28.0198	+	122.763i	−0.313270	+	1.37253i
$21$	177.040	−	52.9370i	1.83968	−	0.550086i
$22$	1.22781	+	5.37940i	0.0118987	+	0.0521315i
$23$	22.4625	+	98.4148i	0.203642	+	0.892213i	0.968697	+	0.248248i	$0.0798547\pi$
$23$	22.4625	+	98.4148i	0.203642	+	0.892213i	−0.765055	+	0.643965i	$0.777288\pi$
$24$	−24.4904	−	30.7100i	−0.208295	−	0.261194i
$25$	78.9141	+	98.9552i	0.631313	+	0.791642i
$26$	0.942301	+	4.12849i	0.00710771	+	0.0311409i
$27$	−101.129	−	443.074i	−0.720823	−	3.15813i
$28$	−120.763	−	83.8739i	−0.815072	−	0.566095i
$29$	−27.8072	+	121.831i	−0.178058	+	0.780122i	0.804468	+	0.593996i	$0.202450\pi$
$29$	−27.8072	+	121.831i	−0.178058	+	0.780122i	−0.982526	+	0.186126i	$0.940407\pi$
$30$	−39.0872			−0.237877
$31$	155.641			0.901739			0.450869	−	0.892590i	$-0.351114\pi$
$31$	155.641			0.901739			0.450869	+	0.892590i	$0.351114\pi$
$32$	−10.4455	+	45.7647i	−0.0577037	+	0.252817i
$33$	200.819	−	96.7092i	1.05934	−	0.510149i
$34$	−8.42828	−	10.5687i	−0.0425129	−	0.0533094i
$35$	−281.436	+	84.1527i	−1.35918	+	0.406412i
$36$	−359.112	+	450.312i	−1.66255	+	2.08478i
$37$	47.3283	−	207.359i	0.210290	−	0.921340i	−0.754080	−	0.656783i	$-0.771917\pi$
$37$	47.3283	−	207.359i	0.210290	−	0.921340i	0.964370	−	0.264558i	$-0.0852260\pi$
$38$	0.319326	−	0.400423i	0.00136320	−	0.00170940i
$39$	154.121	−	74.2207i	0.632797	−	0.304739i
$40$	38.9318	+	48.8190i	0.153892	+	0.192974i
$41$	11.6961	+	5.63257i	0.0445520	+	0.0214551i	0.456027	−	0.889966i	$-0.349272\pi$
$41$	11.6961	+	5.63257i	0.0445520	+	0.0214551i	−0.411475	+	0.911421i	$0.634986\pi$
$42$	17.0413	−	42.3400i	0.0626079	−	0.155553i
$43$	310.966	−	149.753i	1.10283	−	0.531097i	0.208285	−	0.978068i	$-0.433212\pi$
$43$	310.966	−	149.753i	1.10283	−	0.531097i	0.894548	+	0.446972i	$0.147497\pi$
$44$	−159.790	−	76.9509i	−0.547484	−	0.263654i
$45$	256.055	+	1121.85i	0.848232	+	3.71635i
$46$	22.4639	+	10.8180i	0.0720025	+	0.0346746i
$47$	−67.8488	+	85.0797i	−0.210569	+	0.264046i	−0.875889	−	0.482513i	$-0.839724\pi$
$47$	−67.8488	+	85.0797i	−0.210569	+	0.264046i	0.665319	+	0.746559i	$0.268295\pi$
$48$	623.986			1.87634
$49$	31.5452	−	341.546i	0.0919685	−	0.995762i
$50$	31.2617			0.0884214
$51$	−340.464	+	426.929i	−0.934795	+	1.17220i
$52$	−122.633	−	59.0569i	−0.327041	−	0.157495i
$53$	−47.9243	−	209.970i	−0.124206	−	0.544181i	−0.998293	−	0.0584113i	$-0.981397\pi$
$53$	−47.9243	−	209.970i	−0.124206	−	0.544181i	0.874087	−	0.485770i	$-0.161461\pi$
$54$	−101.135	−	48.7039i	−0.254864	−	0.122736i
$55$	−319.237	+	153.736i	−0.782652	+	0.376905i
$56$	−69.8553	+	20.8876i	−0.166693	+	0.0498432i
$57$	−18.6401	−	8.97660i	−0.0433148	−	0.0208593i
$58$	19.2443	+	24.1316i	0.0435673	+	0.0546317i
$59$	7.09251	−	3.41558i	0.0156503	−	0.00753678i	−0.426042	−	0.904703i	$-0.640093\pi$
$59$	7.09251	−	3.41558i	0.0156503	−	0.00753678i	0.441693	+	0.897166i	$0.354378\pi$
$60$	783.326	−	982.260i	1.68545	−	2.11349i
$61$	−25.9624	+	113.749i	−0.0544941	+	0.238754i	−0.994839	−	0.101469i	$-0.967646\pi$
$61$	−25.9624	+	113.749i	−0.0544941	+	0.238754i	0.940345	+	0.340224i	$0.110503\pi$
$62$	23.9684	−	30.0554i	0.0490966	−	0.0615652i
$63$	−1326.85	−	211.743i	−2.65344	−	0.423446i
$64$	−304.713	−	382.098i	−0.595143	−	0.746286i
$65$	−245.002	+	117.987i	−0.467520	+	0.225146i
$66$	12.2505	−	53.6727i	0.0228474	−	0.100101i
$67$	258.343			0.471068			0.235534	−	0.971866i	$-0.424316\pi$
$67$	258.343			0.471068			0.235534	+	0.971866i	$0.424316\pi$
$68$	434.498			0.774863
$69$	224.119	−	981.929i	0.391025	−	1.71319i
$70$	−27.0902	+	67.3069i	−0.0462556	+	0.114924i
$71$	82.2389	+	360.312i	0.137464	+	0.602270i	0.995987	+	0.0894952i	$0.0285254\pi$
$71$	82.2389	+	360.312i	0.137464	+	0.602270i	−0.858523	+	0.512775i	$0.828617\pi$
$72$	63.5555	+	278.455i	0.104029	+	0.455781i
$73$	113.679	+	142.549i	0.182262	+	0.228549i	0.864566	−	0.502519i	$-0.167593\pi$
$73$	113.679	+	142.549i	0.182262	+	0.228549i	−0.682304	+	0.731069i	$0.739022\pi$
$74$	−32.7541	−	41.0724i	−0.0514539	−	0.0645212i
$75$	−281.006	−	1231.17i	−0.432637	−	1.89551i
$76$	3.66315	+	16.0493i	0.00552885	+	0.0242235i
$77$	−27.3488	−	412.830i	−0.0404764	−	0.610991i
$78$	9.40176	−	41.1918i	0.0136479	−	0.0597956i
$79$	1376.86			1.96087			0.980433	−	0.196853i	$-0.0630721\pi$
$79$	1376.86			1.96087			0.980433	+	0.196853i	$0.0630721\pi$
$80$	−991.935			−1.38627
$81$	−573.124	+	2511.02i	−0.786179	+	3.44447i
$82$	2.88888	−	1.39121i	0.00389053	−	0.00187358i
$83$	−92.9045	−	116.499i	−0.122863	−	0.154065i	0.716596	−	0.697488i	$-0.245699\pi$
$83$	−92.9045	−	116.499i	−0.122863	−	0.154065i	−0.839459	+	0.543424i	$0.817128\pi$
$84$	722.487	+	1276.76i	0.938450	+	1.65841i
$85$	541.228	−	678.678i	0.690640	−	0.866035i
$86$	18.9697	−	83.1117i	0.0237855	−	0.104211i
$87$	777.384	−	974.809i	0.957981	−	1.20127i
$88$	−79.2378	+	38.1589i	−0.0959861	+	0.0462245i
$89$	725.229	+	909.408i	0.863754	+	1.08311i	0.995771	+	0.0918661i	$0.0292832\pi$
$89$	725.229	+	909.408i	0.863754	+	1.08311i	−0.132017	+	0.991247i	$0.542145\pi$
$90$	256.070	+	123.317i	0.299913	+	0.144431i
$91$	−20.9892	−	316.831i	−0.0241787	−	0.364978i
$92$	−722.043	+	347.718i	−0.818241	+	0.394044i
$93$	−1399.11	−	673.777i	−1.56001	−	0.751263i
$94$	5.98095	+	26.2043i	0.00656264	+	0.0287528i
$95$	29.6317	+	14.2699i	0.0320016	+	0.0154111i
$96$	292.016	−	366.177i	0.310456	−	0.389300i
$97$	−1237.31			−1.29515			−0.647574	−	0.762003i	$-0.724216\pi$
$97$	−1237.31			−1.29515			−0.647574	+	0.762003i	$0.724216\pi$
$98$	−61.0974	−	58.6892i	−0.0629772	−	0.0604949i
$99$	−1620.73			−1.64534
$100$	−626.499	+	785.605i	−0.626499	+	0.785605i
$101$	−1121.89	−	540.272i	−1.10527	−	0.532268i	−0.209955	−	0.977711i	$-0.567332\pi$
$101$	−1121.89	−	540.272i	−1.10527	−	0.532268i	−0.895310	+	0.445443i	$0.853046\pi$
$102$	30.0123	+	131.493i	0.0291340	+	0.127644i
$103$	−596.511	−	287.265i	−0.570641	−	0.274806i	0.126232	−	0.992001i	$-0.459712\pi$
$103$	−596.511	−	287.265i	−0.570641	−	0.274806i	−0.696873	+	0.717195i	$0.745426\pi$
$104$	−60.8120	+	29.2855i	−0.0573376	+	0.0276123i
$105$	2894.24	+	461.872i	2.68999	+	0.429277i
$106$	−47.9271	−	23.0805i	−0.0439159	−	0.0211488i
$107$	1169.97	+	1467.09i	1.05706	+	1.32551i	0.943279	+	0.332000i	$0.107724\pi$
$107$	1169.97	+	1467.09i	1.05706	+	1.32551i	0.113777	+	0.993506i	$0.463705\pi$
$108$	3250.71	−	1565.46i	2.89630	−	1.39478i
$109$	650.311	−	815.465i	0.571454	−	0.716581i	−0.409175	−	0.912456i	$-0.634183\pi$
$109$	650.311	−	815.465i	0.571454	−	0.716581i	0.980629	+	0.195875i	$0.0627547\pi$
$110$	−19.4742	+	85.3222i	−0.0168800	+	0.0739560i
$111$	−1323.12	+	1659.14i	−1.13140	+	1.41873i
$112$	432.466	−	1074.48i	0.364859	−	0.906510i
$113$	1055.25	+	1323.24i	0.878493	+	1.10160i	0.994118	+	0.108302i	$0.0345414\pi$
$113$	1055.25	+	1323.24i	0.878493	+	1.10160i	−0.115625	+	0.993293i	$0.536887\pi$
$114$	−4.60400	+	2.21717i	−0.00378249	+	0.00182155i
$115$	−356.276	+	1560.95i	−0.288895	+	1.26573i
$116$	−992.093			−0.794082
$117$	−1243.85			−0.982852
$118$	0.432661	−	1.89561i	0.000337540	−	0.00147886i
$119$	499.192	+	882.160i	0.384545	+	0.679559i
$120$	−138.633	−	607.390i	−0.105462	−	0.462057i
$121$	185.125	+	811.085i	0.139087	+	0.609380i
$122$	17.9676	+	22.5306i	0.0133337	+	0.0167199i
$123$	−80.7573	−	101.267i	−0.0592004	−	0.0742349i
$124$	274.954	+	1204.65i	0.199126	+	0.872426i
$125$	5.53571	+	24.2535i	0.00396103	+	0.0173544i
$126$	−245.221	+	223.616i	−0.173381	+	0.158106i
$127$	340.190	−	1490.47i	0.237693	−	1.04140i	−0.705384	−	0.708826i	$-0.749225\pi$
$127$	340.190	−	1490.47i	0.237693	−	1.04140i	0.943077	−	0.332575i	$-0.107918\pi$
$128$	−496.244			−0.342674
$129$	−3443.68			−2.35038
$130$	−14.9458	+	65.4816i	−0.0100833	+	0.0441778i
$131$	1969.64	−	948.527i	1.31365	−	0.632619i	0.359834	−	0.933016i	$-0.382833\pi$
$131$	1969.64	−	948.527i	1.31365	−	0.632619i	0.953814	+	0.300397i	$0.0971192\pi$
$132$	1103.29	+	1383.48i	0.727492	+	0.912247i
$133$	−28.3763	+	25.8762i	−0.0185003	+	0.0168703i
$134$	39.7843	−	49.8880i	0.0256481	−	0.0321617i
$135$	1603.99	−	7027.55i	1.02259	−	4.48026i
$136$	134.338	−	168.455i	0.0847015	−	0.106212i
$137$	−1280.84	+	616.822i	−0.798759	+	0.384662i	−0.788306	−	0.615284i	$-0.789042\pi$
$137$	−1280.84	+	616.822i	−0.798759	+	0.384662i	−0.0104527	+	0.999945i	$0.503327\pi$
$138$	−155.104	−	194.494i	−0.0956764	−	0.119974i
$139$	−69.4787	−	33.4592i	−0.0423964	−	0.0204170i	0.412565	−	0.910928i	$-0.364633\pi$
$139$	−69.4787	−	33.4592i	−0.0423964	−	0.0204170i	−0.454962	+	0.890511i	$0.650347\pi$
$140$	−1148.52	−	2029.64i	−0.693341	−	1.22525i
$141$	978.233	−	471.092i	0.584270	−	0.281370i
$142$	82.2438	+	39.6065i	0.0486038	+	0.0234064i
$143$	−85.2272	−	373.405i	−0.0498395	−	0.218361i
$144$	−4087.89	−	1968.62i	−2.36568	−	1.13925i
$145$	−1235.79	+	1549.63i	−0.707770	+	0.887516i
$146$	45.0337			0.0255275
$147$	−1762.14	+	2933.73i	−0.988702	+	1.64605i
$148$	1688.56			0.937828
$149$	560.342	−	702.647i	0.308087	−	0.386329i	−0.603550	−	0.797325i	$-0.706248\pi$
$149$	560.342	−	702.647i	0.308087	−	0.386329i	0.911637	+	0.410996i	$0.134819\pi$
$150$	−281.023	−	135.333i	−0.152969	−	0.0736662i
$151$	−459.745	−	2014.28i	−0.247772	−	1.08556i	−0.933747	−	0.357934i	$-0.883481\pi$
$151$	−459.745	−	2014.28i	−0.247772	−	1.08556i	0.685975	−	0.727625i	$-0.259376\pi$
$152$	7.35489	+	3.54193i	0.00392474	+	0.00189005i
$153$	3577.40	−	1722.78i	1.89030	−	0.910319i
$154$	−83.9323	−	58.2939i	−0.0439186	−	0.0305029i
$155$	2224.14	+	1071.09i	1.15256	+	0.555044i
$156$	846.733	+	1061.77i	0.434570	+	0.544933i
$157$	−499.417	+	240.507i	−0.253871	+	0.122258i	−0.556492	−	0.830853i	$-0.687853\pi$
$157$	−499.417	+	240.507i	−0.253871	+	0.122258i	0.302620	+	0.953111i	$0.402139\pi$
$158$	212.034	−	265.882i	0.106763	−	0.133876i
$159$	−478.162	+	2094.96i	−0.238495	+	1.04492i
$160$	−464.211	+	582.102i	−0.229369	+	0.287620i
$161$	−1535.52	−	1066.47i	−0.751652	−	0.522048i
$162$	396.638	+	497.368i	0.192363	+	0.241215i
$163$	−1722.39	+	829.462i	−0.827659	+	0.398579i	−0.799237	−	0.601017i	$-0.794763\pi$
$163$	−1722.39	+	829.462i	−0.827659	+	0.398579i	−0.0284221	+	0.999596i	$0.509048\pi$
$164$	−22.9335	+	100.478i	−0.0109195	+	0.0478416i
$165$	3535.27			1.66800
$166$	−36.8039			−0.0172081
$167$	−514.433	+	2253.88i	−0.238371	+	1.04437i	0.704104	+	0.710097i	$0.251349\pi$
$167$	−514.433	+	2253.88i	−0.238371	+	1.04437i	−0.942475	+	0.334276i	$0.891508\pi$
$168$	718.379	+	114.641i	0.329905	+	0.0526474i
$169$	423.470	+	1855.34i	0.192749	+	0.844489i
$170$	−47.7099	−	209.031i	−0.0215246	−	0.0943054i
$171$	93.7957	+	117.616i	0.0419458	+	0.0525984i
$172$	1708.43	+	2142.31i	0.757364	+	0.949705i
$173$	−401.320	−	1758.30i	−0.176369	−	0.772722i	−0.983288	−	0.182060i	$-0.941724\pi$
$173$	−401.320	−	1758.30i	−0.176369	−	0.772722i	0.806919	−	0.590662i	$-0.201133\pi$
$174$	−68.5273	−	300.238i	−0.0298566	−	0.130810i
$175$	−2314.79	−	369.402i	−0.999896	−	0.159567i
$176$	310.886	−	1362.08i	0.133147	−	0.583356i
$177$	−78.5435			−0.0333542
$178$	287.298			0.120977
$179$	797.111	−	3492.37i	0.332843	−	1.45828i	−0.480757	−	0.876854i	$-0.659638\pi$
$179$	797.111	−	3492.37i	0.332843	−	1.45828i	0.813599	−	0.581426i	$-0.197505\pi$
$180$	−8230.72	+	3963.71i	−3.40823	+	1.64132i
$181$	1034.61	+	1297.36i	0.424872	+	0.532772i	0.947486	−	0.319797i	$-0.103615\pi$
$181$	1034.61	+	1297.36i	0.424872	+	0.532772i	−0.522614	+	0.852569i	$0.675043\pi$
$182$	−64.4149	−	44.7383i	−0.0262349	−	0.0182210i
$183$	725.809	−	910.136i	0.293188	−	0.367646i
$184$	−88.4314	+	387.443i	−0.0354307	+	0.155232i
$185$	2103.33	−	2637.49i	0.835892	−	1.04818i
$186$	−345.573	+	166.419i	−0.136229	+	0.0656045i
$187$	762.302	+	955.896i	0.298102	+	0.373808i
$188$	−778.373	−	374.845i	−0.301961	−	0.145417i
$189$	6913.07	+	4801.36i	2.66059	+	1.84787i
$190$	7.31886	−	3.52458i	0.00279456	−	0.00134579i
$191$	−2588.23	−	1246.43i	−0.980514	−	0.472190i	−0.126232	−	0.992001i	$-0.540288\pi$
$191$	−2588.23	−	1246.43i	−0.980514	−	0.472190i	−0.854282	+	0.519810i	$0.826003\pi$
$192$	1085.06	+	4753.95i	0.407850	+	1.78691i
$193$	−131.941	−	63.5394i	−0.0492089	−	0.0236978i	0.409117	−	0.912482i	$-0.365837\pi$
$193$	−131.941	−	63.5394i	−0.0492089	−	0.0236978i	−0.458326	+	0.888784i	$0.651551\pi$
$194$	−190.543	+	238.933i	−0.0705164	+	0.0884248i
$195$	2713.19			0.996387
$196$	2699.28	−	359.215i	0.983702	−	0.130909i
$197$	3039.31			1.09920			0.549599	−	0.835429i	$-0.314781\pi$
$197$	3039.31			1.09920			0.549599	+	0.835429i	$0.314781\pi$
$198$	−249.589	+	312.975i	−0.0895835	+	0.112334i
$199$	−3539.19	−	1704.38i	−1.26074	−	0.607138i	−0.320367	−	0.947294i	$-0.603806\pi$
$199$	−3539.19	−	1704.38i	−1.26074	−	0.607138i	−0.940369	+	0.340155i	$0.889520\pi$
$200$	110.878	+	485.787i	0.0392012	+	0.171752i
$201$	−2322.34	−	1118.38i	−0.814950	−	0.392459i
$202$	−277.099	+	133.444i	−0.0965180	+	0.0464806i
$203$	−1139.81	−	2014.24i	−0.394083	−	0.696414i
$204$	−3905.87	−	1880.97i	−1.34052	−	0.645559i
$205$	128.378	+	160.981i	0.0437381	+	0.0548458i
$206$	−147.335	+	70.9527i	−0.0498316	+	0.0239976i
$207$	−4566.17	+	5725.79i	−1.53319	+	1.92256i
$208$	238.593	−	1045.34i	0.0795359	−	0.348469i
$209$	−28.8817	+	36.2165i	−0.00955881	+	0.0119864i
$210$	534.899	−	487.772i	0.175769	−	0.160283i
$211$	−2317.44	−	2905.97i	−0.756108	−	0.948130i	0.243655	−	0.969862i	$-0.421653\pi$
$211$	−2317.44	−	2905.97i	−0.756108	−	0.948130i	−0.999764	+	0.0217320i	$0.993082\pi$
$212$	1540.49	−	741.863i	0.499064	−	0.240336i
$213$	820.535	−	3595.00i	0.263954	−	1.15646i
$214$	463.480			0.148051
$215$	5474.33			1.73649
$216$	398.127	−	1744.31i	0.125413	−	0.549469i
$217$	−2129.91	+	1942.25i	−0.666302	+	0.607598i
$218$	−57.3257	−	251.160i	−0.0178100	−	0.0780309i
$219$	−404.801	−	1773.55i	−0.124904	−	0.547239i
$220$	−1753.87	−	2199.29i	−0.537482	−	0.673981i
$221$	585.038	+	733.615i	0.178072	+	0.223295i
$222$	116.635	+	511.010i	0.0352613	+	0.154490i
$223$	363.330	+	1591.85i	0.109105	+	0.478020i	0.999729	+	0.0232796i	$0.00741079\pi$
$223$	363.330	+	1591.85i	0.109105	+	0.478020i	−0.890624	+	0.454740i	$0.849732\pi$
$224$	−428.157	−	756.629i	−0.127712	−	0.225689i
$225$	−2043.29	+	8952.26i	−0.605421	+	2.65252i
$226$	418.036			0.123041
$227$	4417.04			1.29149			0.645747	−	0.763552i	$-0.276546\pi$
$227$	4417.04			1.29149			0.645747	+	0.763552i	$0.276546\pi$
$228$	36.5489	−	160.131i	0.0106163	−	0.0465130i
$229$	4118.80	−	1983.51i	1.18855	−	0.572375i	0.268158	−	0.963375i	$-0.413585\pi$
$229$	4118.80	−	1983.51i	1.18855	−	0.572375i	0.920391	+	0.391000i	$0.127871\pi$
$230$	246.565	+	309.183i	0.0706871	+	0.0886388i
$231$	−1541.31	+	3829.48i	−0.439009	+	1.09074i
$232$	−306.735	+	384.634i	−0.0868024	+	0.108847i
$233$	−262.249	+	1148.99i	−0.0737360	+	0.323058i	−0.998321	−	0.0579163i	$-0.981554\pi$
$233$	−262.249	+	1148.99i	−0.0737360	+	0.323058i	0.924585	+	0.380975i	$0.124411\pi$
$234$	−191.550	+	240.196i	−0.0535130	+	0.0671031i
$235$	−1555.07	+	748.883i	−0.431667	+	0.207880i
$236$	38.9660	+	48.8618i	0.0107477	+	0.0134772i
$237$	−12377.1	−	5960.48i	−3.39231	−	1.63365i
$238$	247.227	+	39.4533i	0.0673333	+	0.0107453i
$239$	1059.49	−	510.225i	0.286749	−	0.138091i	−0.284980	−	0.958533i	$-0.591987\pi$
$239$	1059.49	−	510.225i	0.286749	−	0.138091i	0.571729	+	0.820442i	$0.306273\pi$
$240$	8916.87	+	4294.14i	2.39826	+	1.15494i
$241$	−640.169	−	2804.76i	−0.171108	−	0.749671i	−0.985544	−	0.169419i	$-0.945811\pi$
$241$	−640.169	−	2804.76i	−0.171108	−	0.749671i	0.814437	−	0.580253i	$-0.197046\pi$
$242$	185.136	+	89.1567i	0.0491776	+	0.0236827i
$243$	8371.75	−	10497.8i	2.21008	−	2.77135i
$244$	−926.273			−0.243027
$245$	2801.24	−	4663.67i	0.730467	−	1.21613i
$246$	−31.9918			−0.00829157
$247$	−22.1656	+	27.7948i	−0.00570998	+	0.00716009i
$248$	552.053	+	265.855i	0.141352	+	0.0680717i
$249$	330.825	+	1449.44i	0.0841975	+	0.368893i
$250$	5.53604	+	2.66601i	0.00140052	+	0.000674454i
$251$	−2625.82	+	1264.53i	−0.660321	+	0.317994i	−0.733862	−	0.679298i	$-0.762284\pi$
$251$	−2625.82	+	1264.53i	−0.660321	+	0.317994i	0.0735414	+	0.997292i	$0.476570\pi$
$252$	−705.120	−	10643.8i	−0.176263	−	2.66070i
$253$	−2031.76	−	978.445i	−0.504884	−	0.243139i
$254$	−235.433	−	295.223i	−0.0581589	−	0.0729290i
$255$	−7803.33	+	3757.89i	−1.91633	+	0.922855i
$256$	2361.29	−	2960.96i	0.576486	−	0.722890i
$257$	−772.118	+	3382.87i	−0.187406	+	0.821081i	0.790571	+	0.612370i	$0.209784\pi$
$257$	−772.118	+	3382.87i	−0.187406	+	0.821081i	−0.977977	+	0.208711i	$0.933073\pi$
$258$	−530.321	+	665.001i	−0.127970	+	0.160470i
$259$	1939.97	+	3428.27i	0.465421	+	0.822480i
$260$	−1346.03	−	1687.87i	−0.321067	−	0.402605i
$261$	−8168.29	+	3933.64i	−1.93718	+	0.932898i
$262$	120.153	−	526.424i	0.0283323	−	0.124132i
$263$	−868.871			−0.203714			−0.101857	−	0.994799i	$-0.532478\pi$
$263$	−868.871			−0.203714			−0.101857	+	0.994799i	$0.532478\pi$
$264$	877.490			0.204567
$265$	760.123	−	3330.31i	0.176204	−	0.771998i
$266$	0.627001	+	9.46459i	0.000144526	+	0.00218162i
$267$	−2582.48	−	11314.6i	−0.591929	−	2.59341i
$268$	456.386	+	1999.56i	0.104023	+	0.455755i
$269$	2394.93	+	3003.14i	0.542830	+	0.680687i	0.975280	−	0.220971i	$-0.0709225\pi$
$269$	2394.93	+	3003.14i	0.542830	+	0.680687i	−0.432451	+	0.901658i	$0.642351\pi$
$270$	−1110.06	−	1391.97i	−0.250208	−	0.313751i
$271$	255.953	+	1121.40i	0.0573727	+	0.251366i	0.995479	−	0.0949809i	$-0.0302790\pi$
$271$	255.953	+	1121.40i	0.0573727	+	0.251366i	−0.938106	+	0.346347i	$0.887422\pi$
$272$	761.638	+	3336.95i	0.169783	+	0.743869i
$273$	−1182.90	+	2938.98i	−0.262243	+	0.651557i
$274$	−78.1347	+	342.331i	−0.0172273	+	0.0754779i
$275$	−2827.49			−0.620014
$276$	7996.00			1.74385
$277$	1131.60	−	4957.87i	0.245456	−	1.07541i	−0.690510	−	0.723323i	$-0.742614\pi$
$277$	1131.60	−	4957.87i	0.245456	−	1.07541i	0.935966	−	0.352091i	$-0.114529\pi$
$278$	−17.1608	+	8.26422i	−0.00370230	+	0.00178293i
$279$	7040.24	+	8828.18i	1.51071	+	1.89437i
$280$	−1141.99	−	182.243i	−0.243739	−	0.0388967i
$281$	−2112.47	+	2648.96i	−0.448468	+	0.562362i	−0.953753	−	0.300591i	$-0.902816\pi$
$281$	−2112.47	+	2648.96i	−0.448468	+	0.562362i	0.505285	+	0.862953i	$0.331387\pi$
$282$	59.6747	−	261.452i	0.0126013	−	0.0552100i
$283$	−4411.62	+	5532.00i	−0.926657	+	1.16199i	0.0598398	+	0.998208i	$0.480941\pi$
$283$	−4411.62	+	5532.00i	−0.926657	+	1.16199i	−0.986496	+	0.163783i	$0.947630\pi$
$284$	−2643.51	+	1273.05i	−0.552337	+	0.265992i
$285$	−204.595	−	256.555i	−0.0425235	−	0.0533227i
$286$	−85.2322	−	41.0457i	−0.0176220	−	0.00848630i
$287$	−230.348	+	68.8768i	−0.0473764	+	0.0141661i
$288$	−3068.33	+	1477.63i	−0.627789	+	0.302327i
$289$	1727.76	+	832.044i	0.351670	+	0.169356i
$290$	108.936	+	477.281i	0.0220585	+	0.0966445i
$291$	11122.6	+	5356.36i	2.24061	+	1.07902i
$292$	−902.498	+	1131.70i	−0.180872	+	0.226807i
$293$	−5500.06			−1.09665			−0.548323	−	0.836267i	$-0.684734\pi$
$293$	−5500.06			−1.09665			−0.548323	+	0.836267i	$0.684734\pi$
$294$	295.158	+	792.073i	0.0585509	+	0.157125i
$295$	124.859			0.0246425
$296$	522.068	−	654.653i	0.102516	−	0.128550i
$297$	9147.20	+	4405.06i	1.78712	+	0.860631i
$298$	−49.3948	−	216.413i	−0.00960190	−	0.0420687i
$299$	−1559.30	−	750.920i	−0.301594	−	0.145240i
$300$	9032.76	−	4349.95i	1.73836	−	0.837148i
$301$	−2386.71	+	5929.90i	−0.457035	+	1.13553i
$302$	−459.772	−	221.415i	−0.0876057	−	0.0421887i
$303$	7746.18	+	9713.41i	1.46867	+	1.84165i
$304$	−116.838	+	56.2661i	−0.0220431	+	0.0106154i
$305$	−1153.80	+	1446.82i	−0.216611	+	0.271622i
$306$	218.230	−	956.129i	0.0407692	−	0.178622i
$307$	3902.06	−	4893.03i	0.725415	−	0.909642i	−0.273215	−	0.961953i	$-0.588087\pi$
$307$	3902.06	−	4893.03i	0.725415	−	0.909642i	0.998631	+	0.0523107i	$0.0166586\pi$
$308$	3146.97	−	940.980i	0.582192	−	0.174082i
$309$	4118.68	+	5164.66i	0.758264	+	0.950832i
$310$	549.348	−	264.552i	0.100648	−	0.0484695i
$311$	−1774.32	+	7773.82i	−0.323514	+	1.41741i	0.507739	+	0.861511i	$0.330481\pi$
$311$	−1774.32	+	7773.82i	−0.323514	+	1.41741i	−0.831253	+	0.555895i	$0.812376\pi$
$312$	673.441			0.122199
$313$	1547.88			0.279525			0.139763	−	0.990185i	$-0.455366\pi$
$313$	1547.88			0.279525			0.139763	+	0.990185i	$0.455366\pi$
$314$	−30.4657	+	133.479i	−0.00547541	+	0.0239893i
$315$	−17503.7	−	12156.9i	−3.13087	−	2.17449i
$316$	2432.34	+	10656.8i	0.433006	+	1.89712i
$317$	−1432.36	−	6275.58i	−0.253783	−	1.11190i	−0.927770	−	0.373154i	$-0.878276\pi$
$317$	−1432.36	−	6275.58i	−0.253783	−	1.11190i	0.673986	−	0.738744i	$-0.264581\pi$
$318$	330.918	+	414.958i	0.0583552	+	0.0731751i
$319$	−1740.57	−	2182.60i	−0.305496	−	0.383079i
$320$	−1724.89	−	7557.23i	−0.301326	−	1.32019i
$321$	−4166.15	−	18253.1i	−0.724398	−	3.17380i
$322$	−442.411	+	132.286i	−0.0765672	+	0.0228945i
$323$	25.2530	−	110.640i	0.00435019	−	0.0190594i
$324$	−20447.6			−3.50611
$325$	−2169.99			−0.370367
$326$	−105.070	+	460.344i	−0.0178506	+	0.0782088i
$327$	−9376.08	+	4515.28i	−1.58562	+	0.763595i
$328$	31.8647	+	39.9571i	0.00536413	+	0.00672641i
$329$	−133.222	−	2010.99i	−0.0223245	−	0.336988i
$330$	544.426	−	682.688i	0.0908171	−	0.113881i
$331$	248.134	−	1087.15i	0.0412045	−	0.180529i	−0.950138	−	0.311829i	$-0.899058\pi$
$331$	248.134	−	1087.15i	0.0412045	−	0.180529i	0.991343	+	0.131301i	$0.0419154\pi$
$332$	737.568	−	924.882i	0.121926	−	0.152890i
$333$	13902.6	−	6695.12i	2.28785	−	1.10177i
$334$	356.020	+	446.434i	0.0583249	+	0.0731371i
$335$	3691.76	+	1777.86i	0.602097	+	0.289955i
$336$	−8539.09	+	7786.76i	−1.38645	+	1.26429i
$337$	−4816.18	+	2319.35i	−0.778499	+	0.374905i	−0.780551	−	0.625093i	$-0.785061\pi$
$337$	−4816.18	+	2319.35i	−0.778499	+	0.374905i	0.00205180	+	0.999998i	$0.499347\pi$
$338$	423.495	+	203.944i	0.0681511	+	0.0328199i
$339$	−3757.66	−	16463.4i	−0.602029	−	2.63766i
$340$	6209.06	+	2990.13i	0.990393	+	0.476948i
$341$	−2167.84	+	2718.39i	−0.344268	+	0.431698i
$342$	37.1570			0.00587491
$343$	3830.50	+	5067.63i	0.602995	+	0.797745i
$344$	1358.78			0.212967
$345$	9960.13	−	12489.6i	1.55431	−	1.94904i
$346$	−401.344	−	193.277i	−0.0623594	−	0.0300307i
$347$	1497.62	+	6561.52i	0.231691	+	1.01510i	0.948237	+	0.317563i	$0.102865\pi$
$347$	1497.62	+	6561.52i	0.231691	+	1.01510i	−0.716547	+	0.697539i	$0.754278\pi$
$348$	8918.29	+	4294.82i	1.37377	+	0.661571i
$349$	9787.76	−	4713.54i	1.50122	−	0.722951i	0.510631	−	0.859800i	$-0.329412\pi$
$349$	9787.76	−	4713.54i	1.50122	−	0.722951i	0.990592	+	0.136849i	$0.0436974\pi$
$350$	−427.808	+	390.117i	−0.0653352	+	0.0595789i
$351$	7020.13	+	3380.72i	1.06754	+	0.514101i
$352$	−653.826	−	819.872i	−0.0990030	−	0.124146i
$353$	902.225	−	434.488i	0.136036	−	0.0655113i	−0.364628	−	0.931153i	$-0.618804\pi$
$353$	902.225	−	434.488i	0.136036	−	0.0655113i	0.500663	+	0.865642i	$0.333089\pi$
$354$	−12.0956	+	15.1674i	−0.00181602	+	0.00227722i
$355$	−1304.38	+	5714.88i	−0.195013	+	0.854407i
$356$	−5757.59	+	7219.79i	−0.857167	+	1.07485i
$357$	−668.506	−	10091.1i	−0.0991066	−	1.49602i
$358$	−551.650	−	691.748i	−0.0814403	−	0.102123i
$359$	−11337.8	+	5459.98i	−1.66681	+	0.802693i	−0.668552	+	0.743666i	$0.733086\pi$
$359$	−11337.8	+	5459.98i	−1.66681	+	0.802693i	−0.998256	+	0.0590270i	$0.981200\pi$
$360$	−1008.05	+	4416.55i	−0.147580	+	0.646590i
$361$	−6854.70			−0.999373
$362$	409.858			0.0595073
$363$	1847.07	−	8092.56i	0.267069	−	1.17011i
$364$	2415.18	−	722.167i	0.347774	−	0.103989i
$365$	643.503	+	2819.37i	0.0922807	+	0.404308i
$366$	−63.9809	−	280.319i	−0.00913753	−	0.0400342i
$367$	4890.84	+	6132.92i	0.695639	+	0.872304i	0.996689	−	0.0813041i	$-0.0259085\pi$
$367$	4890.84	+	6132.92i	0.695639	+	0.872304i	−0.301050	+	0.953608i	$0.597337\pi$
$368$	−3936.15	−	4935.78i	−0.557571	−	0.699172i
$369$	209.575	+	918.206i	0.0295664	+	0.129539i
$370$	−185.411	−	812.339i	−0.0260515	−	0.114139i
$371$	3276.06	+	2275.34i	0.458449	+	0.318409i
$372$	2743.34	−	12019.3i	0.382353	−	1.67520i
$373$	−5554.72			−0.771080			−0.385540	−	0.922691i	$-0.625985\pi$
$373$	−5554.72			−0.771080			−0.385540	+	0.922691i	$0.625985\pi$
$374$	301.984			0.0417520
$375$	55.2323	−	241.988i	0.00760582	−	0.0333233i
$376$	−385.985	+	185.880i	−0.0529405	+	0.0254948i
$377$	−1335.82	−	1675.07i	−0.182489	−	0.228834i
$378$	1991.78	−	595.566i	0.271022	−	0.0810387i
$379$	4093.93	−	5133.63i	0.554858	−	0.695769i	−0.422740	−	0.906251i	$-0.638932\pi$
$379$	4093.93	−	5133.63i	0.554858	−	0.695769i	0.977598	+	0.210481i	$0.0675031\pi$
$380$	−58.1010	+	254.557i	−0.00784346	+	0.0343645i
$381$	−9510.42	+	11925.7i	−1.27883	+	1.60360i
$382$	−639.279	+	307.860i	−0.0856240	+	0.0412343i
$383$	−5982.55	−	7501.89i	−0.798157	−	1.00086i	−0.999771	−	0.0213924i	$-0.993190\pi$
$383$	−5982.55	−	7501.89i	−0.798157	−	1.00086i	0.201614	−	0.979465i	$-0.435381\pi$
$384$	4460.93	+	2148.27i	0.592827	+	0.285491i
$385$	2450.19	−	6087.62i	0.324346	−	0.805855i
$386$	−32.5887	+	15.6939i	−0.00429720	+	0.00206942i
$387$	22560.4	+	10864.5i	2.96333	+	1.42707i
$388$	−2185.81	−	9576.68i	−0.286000	−	1.25305i
$389$	−3904.58	−	1880.35i	−0.508921	−	0.245083i	0.161759	−	0.986830i	$-0.448283\pi$
$389$	−3904.58	−	1880.35i	−0.508921	−	0.245083i	−0.670680	+	0.741747i	$0.733998\pi$
$390$	417.826	−	523.938i	0.0542499	−	0.0680272i
$391$	5524.72			0.714571
$392$	695.295	−	1157.57i	0.0895860	−	0.149148i
$393$	−21812.0			−2.79967
$394$	468.049	−	586.915i	0.0598476	−	0.0750466i
$395$	19675.5	+	9475.24i	2.50629	+	1.20696i
$396$	−2863.16	−	12544.3i	−0.363332	−	1.59186i
$397$	−12903.9	−	6214.18i	−1.63130	−	0.785594i	−0.999949	−	0.0100981i	$-0.996786\pi$
$397$	−12903.9	−	6214.18i	−1.63130	−	0.785594i	−0.631353	−	0.775496i	$-0.717500\pi$
$398$	−874.159	+	420.973i	−0.110095	+	0.0530187i
$399$	367.105	−	109.769i	0.0460607	−	0.0137727i
$400$	−7131.65	−	3434.42i	−0.891457	−	0.429303i
$401$	−1505.72	−	1888.11i	−0.187511	−	0.235132i	0.679186	−	0.733966i	$-0.262333\pi$
$401$	−1505.72	−	1888.11i	−0.187511	−	0.235132i	−0.866697	+	0.498835i	$0.833762\pi$
$402$	−573.604	+	276.233i	−0.0711660	+	0.0342718i
$403$	−1663.74	+	2086.26i	−0.205649	+	0.257876i
$404$	2199.76	−	9637.77i	0.270896	−	1.18687i
$405$	−25470.4	+	31938.8i	−3.12502	+	3.91865i
$406$	−564.494	−	90.0840i	−0.0690034	−	0.0110118i
$407$	2962.47	+	3714.82i	0.360797	+	0.452425i
$408$	−1936.87	+	932.746i	−0.235022	+	0.113181i
$409$	2495.01	−	10931.4i	0.301639	−	1.32157i	−0.566014	−	0.824396i	$-0.691515\pi$
$409$	2495.01	−	10931.4i	0.301639	−	1.32157i	0.867653	−	0.497170i	$-0.165628\pi$
$410$	50.8567			0.00612593
$411$	14184.2			1.70233
$412$	1169.62	−	5124.45i	0.139862	−	0.612775i
$413$	−54.4361	+	135.249i	−0.00648578	+	0.0161143i
$414$	402.513	+	1763.53i	0.0477837	+	0.209354i
$415$	−525.904	−	2304.14i	−0.0622063	−	0.272544i
$416$	−501.787	−	629.221i	−0.0591398	−	0.0741589i
$417$	479.723	+	601.554i	0.0563361	+	0.0706432i
$418$	2.54596	+	11.1546i	0.000297911	+	0.00130523i
$419$	2504.32	+	10972.2i	0.291991	+	1.27930i	0.881750	+	0.471717i	$0.156366\pi$
$419$	2504.32	+	10972.2i	0.291991	+	1.27930i	−0.589759	+	0.807579i	$0.700777\pi$
$420$	1538.07	+	23217.2i	0.178691	+	2.69734i
$421$	2514.46	−	11016.6i	0.291086	−	1.27533i	−0.591931	−	0.805989i	$-0.701634\pi$
$421$	2514.46	−	11016.6i	0.291086	−	1.27533i	0.883017	−	0.469342i	$-0.155509\pi$
$422$	−918.047			−0.105900
$423$	−7894.91			−0.907479
$424$	188.670	−	826.618i	0.0216100	−	0.0946795i
$425$	6241.05	−	3005.53i	0.712319	−	0.343035i
$426$	−567.861	−	712.075i	−0.0645844	−	0.0809863i
$427$	−1064.19	−	1880.61i	−0.120608	−	0.213136i
$428$	−9288.36	+	11647.2i	−1.04900	+	1.31540i
$429$	−850.350	+	3725.63i	−0.0956999	+	0.419289i
$430$	843.038	−	1057.14i	0.0945462	−	0.118557i
$431$	−6735.18	+	3243.49i	−0.752719	+	0.362491i	−0.770574	−	0.637350i	$-0.780031\pi$
$431$	−6735.18	+	3243.49i	−0.752719	+	0.362491i	0.0178550	+	0.999841i	$0.494316\pi$
$432$	17721.0	+	22221.4i	1.97361	+	2.47483i
$433$	−5425.62	−	2612.84i	−0.602168	−	0.289989i	0.107856	−	0.994167i	$-0.465602\pi$
$433$	−5425.62	−	2612.84i	−0.602168	−	0.289989i	−0.710024	+	0.704178i	$0.751316\pi$
$434$	47.0623	+	710.405i	0.00520521	+	0.0785727i
$435$	17817.4	−	8580.41i	1.96386	−	0.945745i
$436$	7460.49	+	3592.78i	0.819478	+	0.394640i
$437$	46.5776	+	204.070i	0.00509865	+	0.0223387i
$438$	−404.825	−	194.954i	−0.0441628	−	0.0212677i
$439$	9848.98	−	12350.2i	1.07077	−	1.34270i	0.134694	−	0.990887i	$-0.456995\pi$
$439$	9848.98	−	12350.2i	1.07077	−	1.34270i	0.936071	−	0.351810i	$-0.114434\pi$
$440$	−1394.92			−0.151137
$441$	20799.9	−	13660.2i	2.24597	−	1.47502i
$442$	231.762			0.0249407
$443$	1548.60	−	1941.88i	0.166086	−	0.208265i	−0.691823	−	0.722067i	$-0.743192\pi$
$443$	1548.60	−	1941.88i	0.166086	−	0.208265i	0.857909	+	0.513802i	$0.171764\pi$
$444$	−15179.1	−	7309.85i	−1.62245	−	0.781329i
$445$	4105.30	+	17986.5i	0.437325	+	1.91605i
$446$	363.352	+	174.981i	0.0385767	+	0.0185776i
$447$	−8078.92	+	3890.60i	−0.854854	+	0.411676i
$448$	8938.17	+	1426.38i	0.942609	+	0.150425i
$449$	13042.1	+	6280.73i	1.37081	+	0.660147i	0.967019	−	0.254705i	$-0.0819783\pi$
$449$	13042.1	+	6280.73i	1.37081	+	0.660147i	0.403790	+	0.914852i	$0.367693\pi$
$450$	1414.09	+	1773.21i	0.148135	+	0.185755i
$451$	−261.287	+	125.829i	−0.0272805	+	0.0131376i
$452$	−8377.63	+	10505.2i	−0.871794	+	1.09319i
$453$	−4587.09	+	20097.3i	−0.475762	+	2.08445i
$454$	680.216	−	852.964i	0.0703175	−	0.0881753i
$455$	1880.43	−	4672.02i	0.193749	−	0.481380i
$456$	−50.7826	−	63.6794i	−0.00521517	−	0.00653961i
$457$	13202.4	−	6357.95i	1.35138	−	0.650793i	0.388687	−	0.921370i	$-0.372929\pi$
$457$	13202.4	−	6357.95i	1.35138	−	0.650793i	0.962698	+	0.270577i	$0.0872146\pi$
$458$	251.257	−	1100.83i	0.0256342	−	0.112311i
$459$	−24872.9			−2.52934
$460$	−12711.1			−1.28838
$461$	−201.738	+	883.872i	−0.0203815	+	0.0892973i	−0.984096	−	0.177639i	$-0.943154\pi$
$461$	−201.738	+	883.872i	−0.0203815	+	0.0892973i	0.963714	+	0.266936i	$0.0860113\pi$
$462$	502.142	+	887.373i	0.0505666	+	0.0893600i
$463$	1090.46	+	4777.63i	0.109456	+	0.479558i	0.999710	+	0.0240933i	$0.00766987\pi$
$463$	1090.46	+	4777.63i	0.109456	+	0.479558i	−0.890254	+	0.455465i	$0.849473\pi$
$464$	−1739.05	−	7619.28i	−0.173995	−	0.762320i
$465$	−15356.8	−	19256.8i	−1.53151	−	1.92046i
$466$	181.492	+	227.584i	0.0180418	+	0.0226237i
$467$	−697.977	−	3058.04i	−0.0691617	−	0.303017i	0.928503	−	0.371326i	$-0.121097\pi$
$467$	−697.977	−	3058.04i	−0.0691617	−	0.303017i	−0.997664	+	0.0683089i	$0.978240\pi$
$468$	−2197.37	−	9627.30i	−0.217037	−	0.950902i
$469$	−3535.35	+	3223.88i	−0.348076	+	0.317409i
$470$	−94.8633	+	415.623i	−0.00931004	+	0.0407900i
$471$	5530.61			0.541055
$472$	30.9912			0.00302221
$473$	−1715.73	+	7517.10i	−0.166785	+	0.730733i
$474$	−3057.06	+	1472.20i	−0.296236	+	0.142660i
$475$	163.634	+	205.191i	0.0158064	+	0.0198206i
$476$	−5946.00	+	5422.14i	−0.572552	+	0.522108i
$477$	9742.01	−	12216.1i	0.935128	−	1.17261i
$478$	64.6318	−	283.170i	0.00618449	−	0.0270960i
$479$	6661.33	−	8353.05i	0.635416	−	0.796786i	−0.355006	−	0.934864i	$-0.615521\pi$
$479$	6661.33	−	8353.05i	0.635416	−	0.796786i	0.990421	+	0.138078i	$0.0440925\pi$
$480$	6692.92	−	3223.14i	0.636434	−	0.306491i
$481$	2273.59	+	2850.99i	0.215523	+	0.270258i
$482$	−640.207	−	308.307i	−0.0604992	−	0.0291349i
$483$	9186.55	+	16234.3i	0.865430	+	1.52937i
$484$	−5950.71	+	2865.71i	−0.558857	+	0.269131i
$485$	−17681.3	−	8514.88i	−1.65540	−	0.797197i
$486$	−737.980	−	3233.30i	−0.0688795	−	0.301781i
$487$	−1319.15	−	635.271i	−0.122745	−	0.0591107i	0.371504	−	0.928431i	$-0.378842\pi$
$487$	−1319.15	−	635.271i	−0.122745	−	0.0591107i	−0.494248	+	0.869321i	$0.664557\pi$
$488$	−286.385	+	359.116i	−0.0265657	+	0.0333123i
$489$	19074.0			1.76392
$490$	−469.206	−	1259.14i	−0.0432583	−	0.116086i
$491$	−7285.35			−0.669620			−0.334810	−	0.942286i	$-0.608672\pi$
$491$	−7285.35			−0.669620			−0.334810	+	0.942286i	$0.608672\pi$
$492$	641.132	−	803.954i	0.0587489	−	0.0736688i
$493$	6161.96	+	2967.45i	0.562923	+	0.271089i
$494$	1.95393	+	8.56072i	0.000177958	+	0.000779686i
$495$	−23160.5	−	11153.5i	−2.10300	−	1.01275i
$496$	−8769.77	+	4223.30i	−0.793899	+	0.382322i
$497$	−5621.78	−	3904.52i	−0.507387	−	0.352398i
$498$	330.844	+	159.326i	0.0297700	+	0.0143365i
$499$	1040.75	+	1305.05i	0.0933671	+	0.117079i	0.826320	−	0.563200i	$-0.190430\pi$
$499$	1040.75	+	1305.05i	0.0933671	+	0.117079i	−0.732953	+	0.680279i	$0.761859\pi$
$500$	−177.942	+	85.6922i	−0.0159156	+	0.00766454i
$501$	14381.6	−	18033.9i	1.28248	−	1.60818i
$502$	−160.182	+	701.803i	−0.0142416	+	0.0623964i
$503$	4974.64	−	6238.00i	0.440970	−	0.552959i	−0.510828	−	0.859683i	$-0.670661\pi$
$503$	4974.64	−	6238.00i	0.440970	−	0.552959i	0.951799	+	0.306723i	$0.0992327\pi$
$504$	−4344.60	−	3017.47i	−0.383976	−	0.266684i
$505$	−12313.9	−	15441.2i	−1.08507	−	1.36064i
$506$	−501.833	+	241.670i	−0.0440893	+	0.0212323i
$507$	4225.15	−	18511.6i	0.370109	−	1.62156i
$508$	12137.1			1.06004
$509$	2176.61			0.189541			0.0947705	−	0.995499i	$-0.469788\pi$
$509$	2176.61			0.189541			0.0947705	+	0.995499i	$0.469788\pi$
$510$	−476.023	+	2085.59i	−0.0413307	+	0.181082i
$511$	−3334.55	−	532.139i	−0.288673	−	0.0460674i
$512$	−1091.55	−	4782.39i	−0.0942189	−	0.412800i
$513$	−209.697	−	918.745i	−0.0180475	−	0.0790713i
$514$	534.354	+	670.059i	0.0458548	+	0.0575000i
$515$	−6547.36	−	8210.13i	−0.560216	−	0.702489i
$516$	−6083.57	−	26653.9i	−0.519020	−	2.27398i
$517$	−540.952	−	2370.06i	−0.0460175	−	0.201616i
$518$	960.778	+	153.324i	0.0814945	+	0.0130052i
$519$	−4004.15	+	17543.3i	−0.338656	+	1.48375i
$520$	−1070.55			−0.0902823
$521$	12665.4			1.06503			0.532515	−	0.846420i	$-0.321247\pi$
$521$	12665.4			1.06503			0.532515	+	0.846420i	$0.321247\pi$
$522$	−498.286	+	2183.13i	−0.0417805	+	0.183052i
$523$	−19095.6	+	9195.95i	−1.59654	+	0.768855i	−0.999445	−	0.0333133i	$-0.989394\pi$
$523$	−19095.6	+	9195.95i	−1.59654	+	0.768855i	−0.597098	+	0.802168i	$0.703680\pi$
$524$	10821.1	+	13569.2i	0.902140	+	1.13125i
$525$	19209.4	+	13341.5i	1.59689	+	1.10909i
$526$	−133.805	+	167.786i	−0.0110916	+	0.0139084i
$527$	1895.47	−	8304.60i	0.156675	−	0.686440i
$528$	−8691.18	+	10898.4i	−0.716354	+	0.898280i
$529$	1781.18	−	857.772i	0.146395	−	0.0704999i
$530$	−526.052	−	659.648i	−0.0431137	−	0.0540628i
$531$	514.559	+	247.798i	0.0420526	+	0.0202515i
$532$	−250.410	−	173.918i	−0.0204073	−	0.0141735i
$533$	−200.528	+	96.5692i	−0.0162961	+	0.00784780i
$534$	−2582.63	−	1243.73i	−0.209291	−	0.100789i
$535$	6622.83	+	29016.5i	0.535196	+	2.34485i
$536$	916.333	+	441.283i	0.0738424	+	0.0355606i
$537$	−22284.2	+	27943.5i	−1.79075	+	2.24553i
$538$	948.745			0.0760284
$539$	5526.00	+	5308.19i	0.441598	+	0.424193i
$540$	57226.5			4.56044
$541$	3658.71	−	4587.87i	0.290758	−	0.364599i	−0.614902	−	0.788603i	$-0.710804\pi$
$541$	3658.71	−	4587.87i	0.290758	−	0.364599i	0.905660	+	0.424004i	$0.139376\pi$
$542$	255.968	+	123.268i	0.0202855	+	0.00976899i
$543$	−3684.15	−	16141.3i	−0.291164	−	1.27567i
$544$	2314.68	+	1114.69i	0.182428	+	0.0878528i
$545$	14904.9	−	7177.83i	1.17148	−	0.564155i
$546$	385.375	+	681.025i	0.0302061	+	0.0533795i
$547$	3781.64	+	1821.14i	0.295596	+	0.142352i	0.575804	−	0.817588i	$-0.304689\pi$
$547$	3781.64	+	1821.14i	0.295596	+	0.142352i	−0.280208	+	0.959939i	$0.590403\pi$
$548$	−7036.90	−	8823.99i	−0.548543	−	0.687851i
$549$	−7626.37	+	3672.67i	−0.592870	+	0.285511i
$550$	−435.428	+	546.010i	−0.0337577	+	0.0423308i
$551$	−57.6602	+	252.626i	−0.00445809	+	0.0195322i
$552$	2472.20	−	3100.05i	0.190623	−	0.239034i
$553$	−18841.9	+	17181.9i	−1.44890	+	1.32125i
$554$	−783.139	−	982.025i	−0.0600585	−	0.0753109i
$555$	−30325.5	+	14604.0i	−2.31936	+	1.11695i
$556$	136.232	−	596.870i	0.0103912	−	0.0455268i
$557$	−2751.46			−0.209305			−0.104653	−	0.994509i	$-0.533373\pi$
$557$	−2751.46			−0.209305			−0.104653	+	0.994509i	$0.533373\pi$
$558$	2788.97			0.211589
$559$	−1316.76	+	5769.09i	−0.0996295	+	0.436506i
$560$	13574.4	−	12378.4i	1.02433	−	0.934079i
$561$	−2714.49	−	11893.0i	−0.204288	−	0.895046i
$562$	186.217	+	815.870i	0.0139770	+	0.0612374i
$563$	−7375.66	−	9248.79i	−0.552126	−	0.692344i	0.424954	−	0.905215i	$-0.360290\pi$
$563$	−7375.66	−	9248.79i	−0.552126	−	0.692344i	−0.977080	+	0.212870i	$0.931719\pi$
$564$	5374.37	+	6739.24i	0.401244	+	0.503144i
$565$	5973.45	+	26171.4i	0.444788	+	1.94874i
$566$	388.890	+	1703.84i	0.0288803	+	0.126533i
$567$	−23492.2	−	41514.8i	−1.74000	−	3.07488i
$568$	−323.761	+	1418.49i	−0.0239168	+	0.104786i
$569$	960.148			0.0707408			0.0353704	−	0.999374i	$-0.488739\pi$
$569$	960.148			0.0707408			0.0353704	+	0.999374i	$0.488739\pi$
$570$	−81.0500			−0.00595581
$571$	−603.477	+	2644.01i	−0.0442290	+	0.193780i	−0.992216	−	0.124529i	$-0.960258\pi$
$571$	−603.477	+	2644.01i	−0.0442290	+	0.193780i	0.947987	+	0.318309i	$0.103115\pi$
$572$	2739.57	−	1319.31i	0.200257	−	0.0964388i
$573$	17870.8	+	22409.2i	1.30290	+	1.63378i
$574$	−22.1726	+	55.0890i	−0.00161231	+	0.00400587i
$575$	−7966.04	+	9989.10i	−0.577751	+	0.724477i
$576$	7889.83	−	34567.6i	0.570734	−	2.50055i
$577$	1267.51	−	1589.41i	0.0914510	−	0.114676i	−0.734001	−	0.679149i	$-0.762349\pi$
$577$	1267.51	−	1589.41i	0.0914510	−	0.114676i	0.825452	+	0.564473i	$0.190921\pi$
$578$	426.746	−	205.510i	0.0307098	−	0.0147891i
$579$	911.001	+	1142.36i	0.0653885	+	0.0819945i
$580$	−14177.2	−	6827.37i	−1.01496	−	0.488778i
$581$	2725.17	+	434.892i	0.194594	+	0.0310540i
$582$	2747.22	−	1322.99i	0.195663	−	0.0942263i
$583$	4334.80	+	2087.53i	0.307940	+	0.148296i
$584$	159.724	+	699.796i	0.0113175	+	0.0495852i
$585$	−17774.8	−	8559.89i	−1.25623	−	0.604971i
$586$	−847.001	+	1062.11i	−0.0597087	+	0.0748723i
$587$	−16417.0			−1.15435			−0.577173	−	0.816622i	$-0.695844\pi$
$587$	−16417.0			−1.15435			−0.577173	+	0.816622i	$0.695844\pi$
$588$	−25819.9	−	8456.20i	−1.81087	−	0.593075i
$589$	322.732			0.0225772
$590$	19.2280	−	24.1112i	0.00134170	−	0.00168244i
$591$	−27321.5	−	13157.3i	−1.90162	−	0.915771i
$592$	2959.89	+	12968.1i	0.205491	+	0.900316i
$593$	23458.3	+	11296.9i	1.62448	+	0.782309i	0.999999	+	0.00127109i	$0.000404601\pi$
$593$	23458.3	+	11296.9i	1.62448	+	0.782309i	0.624483	+	0.781038i	$0.285310\pi$
$594$	2259.31	−	1088.02i	0.156061	−	0.0751552i
$595$	1062.71	+	16041.6i	0.0732214	+	1.10528i
$596$	6428.35	+	3095.73i	0.441804	+	0.212762i
$597$	24436.7	+	30642.7i	1.67526	+	2.10071i
$598$	−385.138	+	185.473i	−0.0263369	+	0.0126832i
$599$	11360.8	−	14246.0i	0.774944	−	0.971749i	−0.225053	−	0.974347i	$-0.572256\pi$
$599$	11360.8	−	14246.0i	0.774944	−	0.971749i	0.999997	+	0.00259795i	$0.000826954\pi$
$600$	1106.28	−	4846.91i	0.0752726	−	0.329791i
$601$	13346.8	−	16736.4i	0.905869	−	1.13592i	−0.0843551	−	0.996436i	$-0.526883\pi$
$601$	13346.8	−	16736.4i	0.905869	−	1.13592i	0.990224	−	0.139488i	$-0.0445456\pi$
$602$	777.561	+	1374.09i	0.0526429	+	0.0930293i
$603$	11685.8	+	14653.6i	0.789194	+	0.989618i
$604$	14778.2	−	7116.81i	0.995557	−	0.479435i
$605$	−2936.25	+	12864.5i	−0.197315	+	0.864493i
$606$	3068.63			0.205701
$607$	−15396.6			−1.02954			−0.514769	−	0.857329i	$-0.672122\pi$
$607$	−15396.6			−1.02954			−0.514769	+	0.857329i	$0.672122\pi$
$608$	−21.6595	+	94.8963i	−0.00144475	+	0.00632986i
$609$	1526.40	+	23041.1i	0.101565	+	1.53312i
$610$	101.709	+	445.616i	0.00675094	+	0.0295778i
$611$	−415.160	−	1818.94i	−0.0274887	−	0.120436i
$612$	19654.1	+	24645.4i	1.29815	+	1.62783i
$613$	−12995.5	−	16295.8i	−0.856251	−	1.07370i	−0.996500	−	0.0835886i	$-0.973362\pi$
$613$	−12995.5	−	16295.8i	−0.856251	−	1.07370i	0.140249	−	0.990116i	$-0.455210\pi$
$614$	−343.972	−	1507.04i	−0.0226084	−	0.0990539i
$615$	−457.143	−	2002.87i	−0.0299736	−	0.131323i
$616$	608.162	−	1511.01i	0.0397785	−	0.0988317i
$617$	−4133.09	+	18108.3i	−0.269679	+	1.18154i	0.640708	+	0.767784i	$0.278641\pi$
$617$	−4133.09	+	18108.3i	−0.269679	+	1.18154i	−0.910387	+	0.413757i	$0.864216\pi$
$618$	1631.61			0.106202
$619$	−1570.70			−0.101990			−0.0509949	−	0.998699i	$-0.516239\pi$
$619$	−1570.70			−0.101990			−0.0509949	+	0.998699i	$0.516239\pi$
$620$	−4361.02	+	19106.9i	−0.282488	+	1.23766i
$621$	41333.4	−	19905.1i	2.67094	−	1.28626i
$622$	1227.94	+	1539.79i	0.0791576	+	0.0992605i
$623$	−21273.2	−	3394.84i	−1.36804	−	0.218317i
$624$	−6670.16	+	8364.11i	−0.427917	+	0.536590i
$625$	3432.72	−	15039.7i	0.219694	−	0.962541i
$626$	238.371	−	298.908i	0.0152192	−	0.0190843i
$627$	416.412	−	200.533i	0.0265230	−	0.0127728i
$628$	−2743.77	−	3440.58i	−0.174345	−	0.218621i
$629$	−10487.8	−	5050.64i	−0.664824	−	0.320162i
$630$	−5043.14	+	1507.96i	−0.318926	+	0.0953627i
$631$	24.4838	−	11.7908i	0.00154466	−	0.000743871i	−0.433111	−	0.901340i	$-0.642584\pi$
$631$	24.4838	−	11.7908i	0.00154466	−	0.000743871i	0.434656	+	0.900597i	$0.356870\pi$
$632$	4883.67	+	2351.85i	0.307376	+	0.148025i
$633$	8252.18	+	36155.2i	0.518159	+	2.27020i
$634$	−1432.44	−	689.829i	−0.0897313	−	0.0432123i
$635$	15118.5	−	18958.0i	0.944817	−	1.18476i
$636$	−17059.6			−1.06361
$637$	4241.00	+	4073.84i	0.263790	+	0.253393i
$638$	−689.522			−0.0427875
$639$	−16717.5	+	20963.0i	−1.03495	+	1.29779i
$640$	−7091.43	−	3415.05i	−0.437989	−	0.210925i
$641$	690.621	+	3025.81i	0.0425552	+	0.186447i	0.991738	−	0.128278i	$-0.0409450\pi$
$641$	690.621	+	3025.81i	0.0425552	+	0.186447i	−0.949183	+	0.314725i	$0.898088\pi$
$642$	−4166.40	−	2006.43i	−0.256129	−	0.123345i
$643$	2348.38	−	1130.92i	0.144030	−	0.0693611i	−0.360481	−	0.932767i	$-0.617387\pi$
$643$	2348.38	−	1130.92i	0.144030	−	0.0693611i	0.504510	+	0.863406i	$0.331673\pi$
$644$	5541.79	−	13768.9i	0.339095	−	0.842499i
$645$	−49210.8	−	23698.7i	−3.00414	−	1.44672i
$646$	−17.4766	−	21.9150i	−0.00106441	−	0.00133473i
$647$	26461.3	−	12743.1i	1.60788	−	0.774316i	0.608076	−	0.793879i	$-0.291942\pi$
$647$	26461.3	−	12743.1i	1.60788	−	0.774316i	0.999809	+	0.0195623i	$0.00622727\pi$
$648$	−6322.00	+	7927.54i	−0.383259	+	0.480592i
$649$	−39.1324	+	171.450i	−0.00236684	+	0.0103698i
$650$	−334.175	+	419.042i	−0.0201653	+	0.0252864i
$651$	27554.6	−	8239.16i	1.65891	−	0.496034i
$652$	−9462.76	−	11865.9i	−0.568390	−	0.712738i
$653$	5591.70	−	2692.82i	0.335100	−	0.161376i	−0.258765	−	0.965940i	$-0.583316\pi$
$653$	5591.70	−	2692.82i	0.335100	−	0.161376i	0.593865	+	0.804565i	$0.297601\pi$
$654$	−571.965	+	2505.94i	−0.0341981	+	0.149832i
$655$	34674.0			2.06844
$656$	−811.873			−0.0483206
$657$	−2943.45	+	12896.1i	−0.174787	+	0.765791i
$658$	−408.853	−	283.962i	−0.0242230	−	0.0168237i
$659$	−2500.74	−	10956.5i	−0.147822	−	0.647653i	−0.993488	−	0.113939i	$-0.963653\pi$
$659$	−2500.74	−	10956.5i	−0.147822	−	0.647653i	0.845665	−	0.533714i	$-0.179204\pi$
$660$	6245.38	+	27362.8i	0.368335	+	1.61378i
$661$	−5305.30	−	6652.64i	−0.312182	−	0.391464i	0.600843	−	0.799367i	$-0.294832\pi$
$661$	−5305.30	−	6652.64i	−0.312182	−	0.391464i	−0.913025	+	0.407903i	$0.866260\pi$
$662$	−171.724	−	215.335i	−0.0100819	−	0.0126424i
$663$	−2083.27	−	9127.40i	−0.122032	−	0.534659i
$664$	−130.535	−	571.910i	−0.00762911	−	0.0334253i
$665$	−583.578	+	174.497i	−0.0340303	+	0.0101755i
$666$	848.091	−	3715.73i	0.0493436	−	0.216189i
$667$	−12614.6			−0.732295
$668$	−18353.7			−1.06306
$669$	3625.11	−	15882.6i	0.209499	−	0.917875i
$670$	911.844	−	439.121i	0.0525785	−	0.0253205i
$671$	−1625.09	−	2037.80i	−0.0934962	−	0.117241i
$672$	573.377	+	8655.13i	0.0329144	+	0.496844i
$673$	11165.4	−	14001.0i	0.639518	−	0.801930i	−0.351425	−	0.936216i	$-0.614303\pi$
$673$	11165.4	−	14001.0i	0.639518	−	0.801930i	0.990943	+	0.134286i	$0.0428741\pi$
$674$	−293.799	+	1287.22i	−0.0167904	+	0.0735635i
$675$	35864.0	−	44972.0i	2.04504	−	2.56440i
$676$	−13612.2	+	6555.27i	−0.774474	+	0.372967i
$677$	−4151.85	−	5206.26i	−0.235700	−	0.295558i	0.649888	−	0.760030i	$-0.274816\pi$
$677$	−4151.85	−	5206.26i	−0.235700	−	0.295558i	−0.885588	+	0.464472i	$0.846244\pi$
$678$	−3757.88	−	1809.70i	−0.212862	−	0.102509i
$679$	16932.2	−	15440.4i	0.956994	−	0.872680i
$680$	3078.99	−	1482.76i	0.173638	−	0.0836197i
$681$	−39706.4	−	19121.6i	−2.23429	−	1.07598i
$682$	191.098	+	837.254i	0.0107295	+	0.0470090i
$683$	−29390.6	−	14153.8i	−1.64656	−	0.792941i	−0.999536	−	0.0304702i	$-0.990300\pi$
$683$	−29390.6	−	14153.8i	−1.64656	−	0.792941i	−0.647023	−	0.762471i	$-0.723986\pi$
$684$	−744.643	+	933.753i	−0.0416259	+	0.0521973i
$685$	−22548.3			−1.25771
$686$	1568.49	+	40.7087i	0.0872962	+	0.00226569i
$687$	−45612.1			−2.53306
$688$	−13458.2	+	16876.1i	−0.745769	+	0.935165i
$689$	3326.80	+	1602.10i	0.183949	+	0.0885852i
$690$	−877.997	−	3846.76i	−0.0484417	−	0.212237i
$691$	−17034.8	−	8203.51i	−0.937819	−	0.451630i	−0.0984195	−	0.995145i	$-0.531379\pi$
$691$	−17034.8	−	8203.51i	−0.937819	−	0.451630i	−0.839399	+	0.543515i	$0.817093\pi$
$692$	12900.2	−	6212.39i	0.708657	−	0.341271i
$693$	22179.2	−	20225.2i	1.21576	−	1.10864i
$694$	1497.71	+	721.260i	0.0819198	+	0.0394505i
$695$	−762.604	−	956.276i	−0.0416219	−	0.0521922i
$696$	4422.46	−	2129.74i	0.240852	−	0.115988i
$697$	442.981	−	555.481i	0.0240733	−	0.0301870i
$698$	597.078	−	2615.97i	0.0323779	−	0.141857i
$699$	7331.47	−	9193.38i	0.396712	−	0.497461i
$700$	−1230.14	−	18568.9i	−0.0664212	−	1.00263i
$701$	12369.6	+	15510.9i	0.666465	+	0.835720i	0.994030	−	0.109108i	$-0.0347996\pi$
$701$	12369.6	+	15510.9i	0.666465	+	0.835720i	−0.327565	+	0.944829i	$0.606228\pi$
$702$	1733.93	−	835.018i	0.0932237	−	0.0448942i
$703$	98.1386	−	429.973i	0.00526510	−	0.0230679i
$704$	10917.9			0.584491
$705$	17221.1			0.919977
$706$	55.0380	−	241.137i	0.00293397	−	0.0128546i
$707$	22094.8	−	6606.61i	1.17533	−	0.351439i
$708$	−138.754	−	607.922i	−0.00736540	−	0.0322699i
$709$	6163.71	+	27005.0i	0.326492	+	1.43046i	0.825767	+	0.564011i	$0.190743\pi$
$709$	6163.71	+	27005.0i	0.326492	+	1.43046i	−0.499275	+	0.866444i	$0.666400\pi$
$710$	902.715	+	1131.97i	0.0477159	+	0.0598338i
$711$	62280.6	+	78097.4i	3.28510	+	4.11938i
$712$	1018.98	+	4464.43i	0.0536345	+	0.234988i
$713$	3496.09	+	15317.4i	0.183632	+	0.804543i
$714$	−2051.62	−	1424.92i	−0.107535	−	0.0746866i
$715$	1351.78	−	5922.54i	0.0707045	−	0.309777i
$716$	28438.9			1.48438
$717$	−11733.0			−0.611124
$718$	−691.632	+	3030.24i	−0.0359491	+	0.157503i
$719$	−5998.04	+	2888.51i	−0.311112	+	0.149823i	−0.582924	−	0.812527i	$-0.698091\pi$
$719$	−5998.04	+	2888.51i	−0.311112	+	0.149823i	0.271812	+	0.962350i	$0.412377\pi$
$720$	−44869.1	−	56264.0i	−2.32246	−	2.91227i
$721$	11747.9	−	3512.76i	0.606817	−	0.181445i
$722$	−1055.61	+	1323.70i	−0.0544125	+	0.0682311i
$723$	−6387.26	+	27984.4i	−0.328554	+	1.43949i
$724$	−8213.74	+	10299.7i	−0.421632	+	0.528710i
$725$	−14250.2	+	6862.55i	−0.729987	+	0.351543i
$726$	−1278.29	−	1602.92i	−0.0653468	−	0.0819423i
$727$	13986.2	+	6735.38i	0.713504	+	0.343606i	0.755173	−	0.655526i	$-0.227553\pi$
$727$	13986.2	+	6735.38i	0.713504	+	0.343606i	−0.0416683	+	0.999132i	$0.513267\pi$
$728$	466.742	−	1159.64i	0.0237618	−	0.0590374i
$729$	−58048.2	+	27954.5i	−2.94915	+	1.42024i
$730$	643.541	+	309.913i	0.0326281	+	0.0157129i
$731$	−4203.36	−	18416.1i	−0.212677	−	0.931798i
$732$	8326.61	+	4009.89i	0.420438	+	0.202472i
$733$	20008.2	−	25089.5i	1.00821	−	1.26426i	0.0440262	−	0.999030i	$-0.485981\pi$
$733$	20008.2	−	25089.5i	1.00821	−	1.26426i	0.964186	−	0.265228i	$-0.0854471\pi$
$734$	1937.50			0.0974309
$735$	−45370.7	+	29796.8i	−2.27690	+	1.49533i
$736$	−4738.55			−0.237317
$737$	−3598.32	+	4512.15i	−0.179845	+	0.225519i
$738$	209.587	+	100.932i	0.0104539	+	0.00503435i
$739$	−3541.52	−	15516.4i	−0.176288	−	0.772368i	−0.983323	−	0.181865i	$-0.941787\pi$
$739$	−3541.52	−	15516.4i	−0.176288	−	0.772368i	0.807035	−	0.590503i	$-0.201071\pi$
$740$	24129.8	+	11620.3i	1.19869	+	0.577257i
$741$	319.581	−	153.902i	0.0158436	−	0.00762986i
$742$	943.894	−	282.235i	0.0467000	−	0.0139639i
$743$	30843.0	+	14853.2i	1.52291	+	0.733393i	0.993377	−	0.114898i	$-0.0366540\pi$
$743$	30843.0	+	14853.2i	1.52291	+	0.733393i	0.529530	+	0.848291i	$0.322368\pi$
$744$	−3811.71	−	4779.73i	−0.187828	−	0.235529i
$745$	12842.9	−	6184.80i	0.631579	−	0.304152i
$746$	−855.418	+	1072.66i	−0.0419827	+	0.0526446i
$747$	2405.54	−	10539.4i	0.117824	−	0.516219i
$748$	−6051.91	+	7588.86i	−0.295829	+	0.370957i
$749$	−34318.7	−	5476.69i	−1.67420	−	0.267175i
$750$	−38.2242	−	47.9316i	−0.00186100	−	0.00233362i
$751$	−19904.3	+	9585.40i	−0.967134	+	0.465747i	−0.849661	−	0.527329i	$-0.823194\pi$
$751$	−19904.3	+	9585.40i	−0.967134	+	0.465747i	−0.117473	+	0.993076i	$0.537479\pi$
$752$	1514.39	−	6634.99i	0.0734365	−	0.321746i
$753$	29078.7			1.40729
$754$	−529.183			−0.0255593
$755$	7291.98	−	31948.2i	0.351500	−	1.54002i
$756$	−24949.7	+	61988.9i	−1.20028	+	2.98216i
$757$	5978.29	+	26192.6i	0.287034	+	1.25758i	0.888573	+	0.458735i	$0.151697\pi$
$757$	5978.29	+	26192.6i	0.287034	+	1.25758i	−0.601539	+	0.798843i	$0.705446\pi$
$758$	−360.885	−	1581.14i	−0.0172928	−	0.0757646i
$759$	14028.5	+	17591.2i	0.670887	+	0.841265i
$760$	80.7279	+	101.230i	0.00385304	+	0.00483156i
$761$	−3482.77	−	15259.0i	−0.165900	−	0.726857i	−0.987607	−	0.156947i	$-0.949835\pi$
$761$	−3482.77	−	15259.0i	−0.165900	−	0.726857i	0.821707	−	0.569911i	$-0.193022\pi$
$762$	838.355	+	3673.07i	0.0398562	+	0.174621i
$763$	1276.89	+	19274.7i	0.0605854	+	0.914537i
$764$	5074.93	−	22234.7i	0.240320	−	1.05291i
$765$	62977.5			2.97641
$766$	−2369.98			−0.111789
$767$	−30.0326	+	131.582i	−0.00141384	+	0.00619444i
$768$	−34044.6	+	16395.0i	−1.59958	+	0.770319i
$769$	−4026.14	−	5048.62i	−0.188799	−	0.236746i	0.678419	−	0.734675i	$-0.262665\pi$
$769$	−4026.14	−	5048.62i	−0.188799	−	0.236746i	−0.867218	+	0.497929i	$0.834094\pi$
$770$	−798.243	−	1410.63i	−0.0373593	−	0.0660205i
$771$	21585.5	−	27067.4i	1.00828	−	1.26434i
$772$	258.706	−	1133.46i	0.0120609	−	0.0528423i
$773$	5290.93	−	6634.61i	0.246185	−	0.308707i	−0.643351	−	0.765572i	$-0.722456\pi$
$773$	5290.93	−	6634.61i	0.246185	−	0.308707i	0.889536	+	0.456865i	$0.151028\pi$
$774$	5572.29	−	2683.47i	0.258775	−	0.124619i
$775$	12282.3	+	15401.5i	0.569280	+	0.713854i
$776$	−4388.68	−	2113.48i	−0.203021	−	0.0977699i
$777$	−2597.96	−	39216.2i	−0.119950	−	1.81065i
$778$	−964.410	+	464.435i	−0.0444418	+	0.0214021i
$779$	24.2528	+	11.6795i	0.00111546	+	0.000537179i
$780$	4793.10	+	20999.9i	0.220026	+	0.963998i
$781$	−7438.60	−	3582.24i	−0.340812	−	0.164126i
$782$	850.798	−	1066.87i	0.0389060	−	0.0487866i
$783$	56792.4			2.59208
$784$	7490.37	+	20100.8i	0.341216	+	0.915671i
$785$	−8791.88			−0.399740
$786$	−3359.01	+	4212.07i	−0.152433	+	0.191144i
$787$	−14796.6	−	7125.66i	−0.670193	−	0.322748i	0.0676611	−	0.997708i	$-0.478446\pi$
$787$	−14796.6	−	7125.66i	−0.670193	−	0.322748i	−0.737854	+	0.674961i	$0.764161\pi$
$788$	5369.23	+	23524.1i	0.242729	+	1.06347i
$789$	7810.60	+	3761.39i	0.352427	+	0.169720i
$790$	4859.74	−	2340.33i	0.218863	−	0.105399i
$791$	−30953.7	−	4939.70i	−1.39139	−	0.222042i
$792$	−5748.66	−	2768.41i	−0.257917	−	0.124206i
$793$	−1247.20	−	1563.94i	−0.0558503	−	0.0700340i
$794$	−3187.18	+	1534.87i	−0.142454	+	0.0686025i
$795$	−21250.1	+	26646.8i	−0.948006	+	1.18876i
$796$	6939.53	−	30404.1i	0.309002	−	1.35382i
$797$	−4887.08	+	6128.21i	−0.217201	+	0.272362i	−0.878481	−	0.477778i	$-0.841442\pi$
$797$	−4887.08	+	6128.21i	−0.217201	+	0.272362i	0.661279	+	0.750140i	$0.270014\pi$
$798$	35.3364	−	87.7950i	0.00156754	−	0.00389462i
$799$	3713.34	+	4656.38i	0.164416	+	0.206171i
$800$	−5352.95	+	2577.85i	−0.236569	+	0.113926i
$801$	−18778.1	+	82272.2i	−0.828328	+	3.62914i
$802$	−596.487			−0.0262627
$803$	−4073.11			−0.179000
$804$	4553.57	−	19950.5i	0.199741	−	0.875124i
$805$	−14603.6	−	25807.2i	−0.639392	−	1.12992i
$806$	146.660	+	642.561i	0.00640930	+	0.0280810i
$807$	−8528.12	−	37364.1i	−0.372000	−	1.62984i
$808$	−3056.44	−	3832.65i	−0.133076	−	0.166872i
$809$	−20284.1	−	25435.5i	−0.881524	−	1.10540i	−0.993741	−	0.111712i	$-0.964367\pi$
$809$	−20284.1	−	25435.5i	−0.881524	−	1.10540i	0.112217	−	0.993684i	$-0.464205\pi$
$810$	2245.24	+	9837.06i	0.0973949	+	0.426715i
$811$	6361.45	+	27871.3i	0.275439	+	1.20678i	0.903492	+	0.428605i	$0.140995\pi$
$811$	6361.45	+	27871.3i	0.275439	+	1.20678i	−0.628053	+	0.778170i	$0.716148\pi$
$812$	13576.5	−	12380.4i	0.586753	−	0.535058i
$813$	2553.75	−	11188.7i	0.110165	−	0.482664i
$814$	1173.58			0.0505330
$815$	−30321.5			−1.30321
$816$	7599.20	−	33294.3i	0.326011	−	1.42835i
$817$	644.809	−	310.524i	0.0276120	−	0.0132973i
$818$	−1726.70	−	2165.22i	−0.0738053	−	0.0925489i
$819$	17021.7	−	15522.1i	0.726236	−	0.662252i
$820$	−1019.19	+	1278.03i	−0.0434045	+	0.0544276i
$821$	−2688.22	+	11777.8i	−0.114275	+	0.500669i	0.885103	+	0.465395i	$0.154088\pi$
$821$	−2688.22	+	11777.8i	−0.114275	+	0.500669i	−0.999378	+	0.0352745i	$0.988769\pi$
$822$	2184.35	−	2739.09i	0.0926861	−	0.116225i
$823$	3172.44	−	1527.76i	0.134367	−	0.0647078i	−0.365492	−	0.930814i	$-0.619099\pi$
$823$	3172.44	−	1527.76i	0.134367	−	0.0647078i	0.499859	+	0.866107i	$0.333385\pi$
$824$	−1625.12	−	2037.84i	−0.0687061	−	0.0861547i
$825$	25417.3	+	12240.3i	1.07263	+	0.516550i
$826$	17.7346	+	31.3402i	0.000747054	+	0.00132018i
$827$	27140.3	−	13070.1i	1.14119	−	0.549567i	0.234812	−	0.972041i	$-0.424553\pi$
$827$	27140.3	−	13070.1i	1.14119	−	0.549567i	0.906375	+	0.422474i	$0.138838\pi$
$828$	−52383.9	−	25226.8i	−2.19863	−	1.05880i
$829$	−38.3113	−	167.853i	−0.00160508	−	0.00703230i	0.974119	−	0.226036i	$-0.0725766\pi$
$829$	−38.3113	−	167.853i	−0.00160508	−	0.00703230i	−0.975724	+	0.219003i	$0.929719\pi$
$830$	−525.935	−	253.277i	−0.0219945	−	0.0105920i
$831$	−31635.3	+	39669.4i	−1.32060	+	1.65598i
$832$	8379.04			0.349148
$833$	−17839.9	−	5842.69i	−0.742035	−	0.243022i
$834$	190.041			0.00789040
$835$	−22862.1	+	28668.1i	−0.947514	+	1.18814i
$836$	−331.336	−	159.563i	−0.0137075	−	0.00660120i
$837$	−15739.7	−	68960.3i	−0.649994	−	2.84781i
$838$	2504.47	+	1206.09i	0.103241	+	0.0497180i
$839$	−24321.3	+	11712.5i	−1.00079	+	0.481956i	−0.861207	−	0.508254i	$-0.830291\pi$
$839$	−24321.3	+	11712.5i	−1.00079	+	0.481956i	−0.139584	+	0.990210i	$0.544577\pi$
$840$	9476.83	+	6581.98i	0.389264	+	0.270357i
$841$	7904.08	+	3806.40i	0.324084	+	0.156071i
$842$	−1740.16	−	2182.09i	−0.0712232	−	0.0893110i
$843$	30457.3	−	14667.5i	1.24437	−	0.599258i
$844$	18398.1	−	23070.5i	0.750342	−	0.940900i
$845$	−6716.62	+	29427.4i	−0.273442	+	1.19803i
$846$	−1215.80	+	1524.57i	−0.0494092	+	0.0619572i
$847$	−12655.0	−	8789.31i	−0.513377	−	0.356558i
$848$	8397.87	+	10530.6i	0.340075	+	0.426441i
$849$	63606.1	−	30631.1i	2.57121	−	1.23823i
$850$	380.720	−	1668.04i	0.0153630	−	0.0673099i
$851$	21470.3			0.864856
$852$	29274.6			1.17715
$853$	−6055.40	+	26530.4i	−0.243063	+	1.06493i	0.695148	+	0.718867i	$0.255339\pi$
$853$	−6055.40	+	26530.4i	−0.243063	+	1.06493i	−0.938211	+	0.346063i	$0.887518\pi$
$854$	−527.043	−	84.1074i	−0.0211183	−	0.00337014i
$855$	530.948	+	2326.24i	0.0212375	+	0.0930475i
$856$	1643.85	+	7202.19i	0.0656375	+	0.287577i
$857$	23140.2	+	29016.9i	0.922350	+	1.15659i	0.987326	+	0.158704i	$0.0507314\pi$
$857$	23140.2	+	29016.9i	0.922350	+	1.15659i	−0.0649762	+	0.997887i	$0.520697\pi$
$858$	588.495	+	737.949i	0.0234160	+	0.0293627i
$859$	6177.26	+	27064.4i	0.245361	+	1.07500i	0.936056	+	0.351852i	$0.114448\pi$
$859$	6177.26	+	27064.4i	0.245361	+	1.07500i	−0.690694	+	0.723147i	$0.742695\pi$
$860$	9670.91	+	42371.0i	0.383460	+	1.68005i
$861$	2368.86	+	378.030i	0.0937636	+	0.0149631i
$862$	−410.863	+	1800.11i	−0.0162344	+	0.0711275i
$863$	−24798.4			−0.978153			−0.489076	−	0.872241i	$-0.662666\pi$
$863$	−24798.4			−0.978153			−0.489076	+	0.872241i	$0.662666\pi$
$864$	21333.5			0.840022
$865$	6365.30	−	27888.2i	0.250204	−	1.09622i
$866$	−1340.10	+	645.357i	−0.0525847	+	0.0253235i
$867$	−11929.5	−	14959.1i	−0.467297	−	0.585972i
$868$	−18795.6	−	13054.2i	−0.734982	−	0.510470i
$869$	−19177.5	+	24047.9i	−0.748623	+	0.938744i
$870$	1086.91	−	4762.05i	0.0423558	−	0.185573i
$871$	−2761.58	+	3462.91i	−0.107431	+	0.134714i
$872$	3699.55	−	1781.61i	0.143673	−	0.0691892i
$873$	−55968.1	−	70181.8i	−2.16980	−	2.72084i
$874$	46.5804	+	22.4319i	0.00180275	+	0.000868160i
$875$	−378.417	−	262.823i	−0.0146204	−	0.0101543i
$876$	13012.1	−	6266.28i	0.501869	−	0.241687i
$877$	6906.82	+	3326.15i	0.265937	+	0.128069i	0.562101	−	0.827069i	$-0.309993\pi$
$877$	6906.82	+	3326.15i	0.265937	+	0.128069i	−0.296164	+	0.955137i	$0.595707\pi$
$878$	−868.199	−	3803.83i	−0.0333716	−	0.146211i
$879$	49442.1	+	23810.1i	1.89720	+	0.913645i
$880$	13816.2	−	17324.9i	0.529253	−	0.663662i
$881$	−34244.5			−1.30956			−0.654782	−	0.755818i	$-0.727240\pi$
$881$	−34244.5			−1.30956			−0.654782	+	0.755818i	$0.727240\pi$
$882$	565.268	−	6120.27i	0.0215800	−	0.233651i
$883$	4467.92			0.170280			0.0851402	−	0.996369i	$-0.472866\pi$
$883$	4467.92			0.170280			0.0851402	+	0.996369i	$0.472866\pi$
$884$	−4644.61	+	5824.16i	−0.176714	+	0.221593i
$885$	−1122.40	−	540.520i	−0.0426317	−	0.0205304i
$886$	−136.511	−	598.092i	−0.00517625	−	0.0226786i
$887$	−9555.01	−	4601.45i	−0.361698	−	0.174185i	0.244204	−	0.969724i	$-0.421473\pi$
$887$	−9555.01	−	4601.45i	−0.361698	−	0.174185i	−0.605902	+	0.795539i	$0.707188\pi$
$888$	−7527.09	+	3624.86i	−0.284451	+	0.136984i
$889$	13944.3	+	24642.0i	0.526070	+	0.929658i
$890$	4105.54	+	1977.12i	0.154627	+	0.0744644i
$891$	−35874.2	−	44984.8i	−1.34886	−	1.69141i
$892$	−11679.0	+	5624.31i	−0.438388	+	0.211117i
$893$	−140.689	+	176.419i	−0.00527210	+	0.00661101i
$894$	−492.835	+	2159.25i	−0.0184372	+	0.0807786i
$895$	35424.6	−	44421.1i	1.32303	−	1.65903i
$896$	6790.99	−	6192.67i	0.253204	−	0.230896i
$897$	10766.4	+	13500.6i	0.400756	+	0.502532i
$898$	3221.31	−	1551.30i	0.119707	−	0.0576477i
$899$	−4327.94	+	18961.9i	−0.160562	+	0.703466i
$900$	−72899.7			−2.69999
$901$	−11787.1			−0.435833
$902$	−15.9392	+	69.8340i	−0.000588377	+	0.00257785i
$903$	47125.9	−	42973.9i	1.73671	−	1.58370i
$904$	1482.67	+	6496.01i	0.0545497	+	0.238998i
$905$	5856.60	+	25659.4i	0.215116	+	0.942484i
$906$	3174.55	+	3980.76i	0.116410	+	0.145973i
$907$	−15062.2	−	18887.3i	−0.551412	−	0.691449i	0.425532	−	0.904943i	$-0.360087\pi$
$907$	−15062.2	−	18887.3i	−0.551412	−	0.691449i	−0.976944	+	0.213495i	$0.931515\pi$
$908$	7803.10	+	34187.6i	0.285193	+	1.24951i
$909$	−20102.2	−	88073.6i	−0.733497	−	3.21366i
$910$	−612.621	−	1082.61i	−0.0223167	−	0.0394375i
$911$	1981.16	−	8680.04i	0.0720514	−	0.315678i	−0.926040	−	0.377424i	$-0.876810\pi$
$911$	1981.16	−	8680.04i	0.0720514	−	0.315678i	0.998092	+	0.0617464i	$0.0196670\pi$
$912$	1293.88			0.0469787
$913$	3328.76			0.120664
$914$	805.381	−	3528.60i	0.0291462	−	0.127698i
$915$	16635.3	−	8011.14i	0.601034	−	0.289443i
$916$	22628.5	+	28375.2i	0.816229	+	1.02352i
$917$	−15117.3	+	37559.6i	−0.544401	+	1.35259i
$918$	−3830.38	+	4803.15i	−0.137714	+	0.172688i
$919$	5991.31	−	26249.7i	0.215055	−	0.942216i	−0.746019	−	0.665924i	$-0.768037\pi$
$919$	5991.31	−	26249.7i	0.215055	−	0.942216i	0.961074	−	0.276292i	$-0.0891055\pi$
$920$	−3930.00	+	4928.07i	−0.140835	+	0.176602i
$921$	−56259.3	+	27093.1i	−2.01282	+	0.969323i
$922$	139.615	+	175.072i	0.00498697	+	0.00625346i
$923$	−5708.85	−	2749.24i	−0.203585	−	0.0980414i
$924$	−32362.8	−	5164.57i	−1.15223	−	0.183876i
$925$	24254.1	−	11680.2i	0.862130	−	0.415180i
$926$	1090.53	+	525.171i	0.0387008	+	0.0186373i
$927$	−10688.4	−	46829.1i	−0.378700	−	1.65919i
$928$	−5285.12	−	2545.18i	−0.186953	−	0.0900319i
$929$	−10481.4	+	13143.3i	−0.370165	+	0.464173i	−0.931673	−	0.363299i	$-0.881650\pi$
$929$	−10481.4	+	13143.3i	−0.370165	+	0.464173i	0.561507	+	0.827472i	$0.310222\pi$
$930$	−6083.56			−0.214503
$931$	65.4112	−	708.220i	0.00230265	−	0.0249312i
$932$	−9356.38			−0.328839
$933$	49603.4	−	62200.7i	1.74056	−	2.18259i
$934$	−698.018	−	336.148i	−0.0244538	−	0.0117763i
$935$	4315.16	+	18905.9i	0.150931	+	0.661273i
$936$	−4411.88	−	2124.65i	−0.154067	−	0.0741949i
$937$	−17109.5	+	8239.52i	−0.596526	+	0.287272i	−0.707682	−	0.706531i	$-0.750259\pi$
$937$	−17109.5	+	8239.52i	−0.596526	+	0.287272i	0.111156	+	0.993803i	$0.464545\pi$
$938$	78.1170	+	1179.18i	0.00271920	+	0.0410463i
$939$	−13914.5	−	6700.86i	−0.483580	−	0.232880i
$940$	−8543.50	−	10713.2i	−0.296445	−	0.371730i
$941$	−43407.4	+	20903.9i	−1.50376	+	0.724173i	−0.990938	−	0.134321i	$-0.957115\pi$
$941$	−43407.4	+	20903.9i	−1.50376	+	0.724173i	−0.512824	+	0.858494i	$0.671401\pi$
$942$	851.705	−	1068.00i	0.0294586	−	0.0369400i
$943$	−291.603	+	1277.60i	−0.0100699	+	0.0441190i
$944$	−306.955	+	384.909i	−0.0105832	+	0.0132709i
$945$	65747.1	+	116187.i	2.26323	+	3.99953i
$946$	1187.39	+	1488.94i	0.0408091	+	0.0511730i
$947$	10581.5	−	5095.79i	0.363097	−	0.174858i	−0.243435	−	0.969917i	$-0.578274\pi$
$947$	10581.5	−	5095.79i	0.363097	−	0.174858i	0.606532	+	0.795059i	$0.292560\pi$
$948$	24268.6	−	106328.i	0.831442	−	3.64279i
$949$	−3125.96			−0.106926
$950$	64.8233			0.00221384
$951$	−14291.3	+	62614.3i	−0.487305	+	2.13502i
$952$	263.775	+	3981.68i	0.00898003	+	0.135554i
$953$	−10370.2	−	45434.8i	−0.352491	−	1.54436i	−0.771410	−	0.636338i	$-0.780448\pi$
$953$	−10370.2	−	45434.8i	−0.352491	−	1.54436i	0.418919	−	0.908023i	$-0.362409\pi$
$954$	−858.770	−	3762.52i	−0.0291443	−	0.127690i
$955$	−28408.7	−	35623.4i	−0.962601	−	1.20706i
$956$	5820.81	+	7299.06i	0.196923	+	0.246934i
$957$	6198.01	+	27155.3i	0.209355	+	0.917246i
$958$	−587.205	−	2572.71i	−0.0198035	−	0.0867646i
$959$	9830.67	−	24424.8i	0.331021	−	0.822439i
$960$	−17210.0	+	75401.9i	−0.578594	+	2.53499i
$961$	−5566.96			−0.186867
$962$	900.677			0.0301861
$963$	−30293.5	+	132725.i	−1.01370	+	4.44132i
$964$	20577.8	−	9909.75i	0.687517	−	0.331091i
$965$	−1448.20	−	1815.98i	−0.0483099	−	0.0605788i
$966$	4549.68	+	726.053i	0.151536	+	0.0241826i
$967$	−19593.4	+	24569.4i	−0.651584	+	0.817061i	−0.992398	−	0.123070i	$-0.960726\pi$
$967$	−19593.4	+	24569.4i	−0.651584	+	0.817061i	0.340814	+	0.940131i	$0.389298\pi$
$968$	−728.806	+	3193.11i	−0.0241991	+	0.106023i
$969$	−705.977	+	885.267i	−0.0234048	+	0.0293487i
$970$	−4367.18	+	2103.12i	−0.144559	+	0.0696157i
$971$	24123.1	+	30249.4i	0.797267	+	0.999741i	0.999791	+	0.0204640i	$0.00651436\pi$
$971$	24123.1	+	30249.4i	0.797267	+	0.999741i	−0.202523	+	0.979277i	$0.564914\pi$
$972$	96042.3	+	46251.5i	3.16930	+	1.52625i
$973$	1368.34	−	409.149i	0.0450842	−	0.0134807i
$974$	−325.824	+	156.908i	−0.0107187	+	0.00516188i
$975$	19506.8	+	9394.00i	0.640737	+	0.308563i
$976$	−1623.68	−	7113.79i	−0.0532506	−	0.233306i
$977$	37273.5	+	17950.0i	1.22056	+	0.587789i	0.929466	−	0.368907i	$-0.120268\pi$
$977$	37273.5	+	17950.0i	1.22056	+	0.587789i	0.291090	+	0.956696i	$0.405982\pi$
$978$	2937.37	−	3683.34i	0.0960396	−	0.120430i
$979$	−25984.9			−0.848295
$980$	41045.2	+	13442.6i	1.33790	+	0.438172i
$981$	75670.5			2.46277
$982$	−1121.93	+	1406.86i	−0.0364585	+	0.0457176i
$983$	8081.53	+	3891.86i	0.262218	+	0.126278i	0.560374	−	0.828239i	$-0.310657\pi$
$983$	8081.53	+	3891.86i	0.262218	+	0.126278i	−0.298156	+	0.954517i	$0.596372\pi$
$984$	−113.467	−	497.133i	−0.00367603	−	0.0161057i
$985$	43432.3	+	20915.9i	1.40494	+	0.676585i
$986$	1521.97	−	732.942i	0.0491576	−	0.0236730i
$987$	−7508.08	+	18654.2i	−0.242133	+	0.601591i
$988$	−254.288	−	122.459i	−0.00818824	−	0.00394325i
$989$	21723.0	+	27239.8i	0.698434	+	0.875809i
$990$	−5720.50	+	2754.85i	−0.183646	+	0.0884392i
$991$	6990.72	−	8766.09i	0.224084	−	0.280993i	−0.657062	−	0.753837i	$-0.728201\pi$
$991$	6990.72	−	8766.09i	0.224084	−	0.280993i	0.881146	+	0.472844i	$0.156772\pi$
$992$	−1625.74	+	7122.85i	−0.0520337	+	0.227975i
$993$	−6936.88	+	8698.58i	−0.221687	+	0.277987i
$994$	−1619.74	+	484.321i	−0.0516851	+	0.0154545i
$995$	−38846.5	−	48711.9i	−1.23770	−	1.55203i
$996$	−10634.1	+	5121.13i	−0.338309	+	0.162921i
$997$	3500.67	−	15337.4i	0.111201	−	0.487203i	−0.888403	−	0.459064i	$-0.848185\pi$
$997$	3500.67	−	15337.4i	0.111201	−	0.487203i	0.999604	−	0.0281390i	$-0.00895811\pi$
$998$	412.289			0.0130769
$999$	−96661.5			−3.06130

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	49.4.e.a.43.7	yes	78
49.8	even	7	inner	49.4.e.a.8.7	✓	78
49.20	odd	14		2401.4.a.c.1.20		39
49.29	even	7		2401.4.a.d.1.20		39

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
49.4.e.a.8.7	✓	78	49.8	even	7	inner
49.4.e.a.43.7	yes	78	1.1	even	1	trivial
2401.4.a.c.1.20		39	49.20	odd	14
2401.4.a.d.1.20		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)

\(f(q)\)	\(=\)	\(q+(0.153998 - 0.193108i) q^{2} +(-8.98937 - 4.32905i) q^{3} +(1.76659 + 7.73995i) q^{4} +(14.2902 + 6.88179i) q^{5} +(-2.22032 + 1.06925i) q^{6} +(-13.6848 + 12.4791i) q^{7} +(3.54697 + 1.70813i) q^{8} +(45.2339 + 56.7215i) q^{9} +O(q^{10})\)	\(q+(0.153998 - 0.193108i) q^{2} +(-8.98937 - 4.32905i) q^{3} +(1.76659 + 7.73995i) q^{4} +(14.2902 + 6.88179i) q^{5} +(-2.22032 + 1.06925i) q^{6} +(-13.6848 + 12.4791i) q^{7} +(3.54697 + 1.70813i) q^{8} +(45.2339 + 56.7215i) q^{9} +(3.52959 - 1.69976i) q^{10} +(-13.9285 + 17.4658i) q^{11} +(17.6261 - 77.2249i) q^{12} +(-10.6896 + 13.4043i) q^{13} +(0.302377 + 4.56439i) q^{14} +(-98.6682 - 123.726i) q^{15} +(-56.3462 + 27.1349i) q^{16} +(12.1785 - 53.3575i) q^{17} +17.9193 q^{18} +2.07357 q^{19} +(-28.0198 + 122.763i) q^{20} +(177.040 - 52.9370i) q^{21} +(1.22781 + 5.37940i) q^{22} +(22.4625 + 98.4148i) q^{23} +(-24.4904 - 30.7100i) q^{24} +(78.9141 + 98.9552i) q^{25} +(0.942301 + 4.12849i) q^{26} +(-101.129 - 443.074i) q^{27} +(-120.763 - 83.8739i) q^{28} +(-27.8072 + 121.831i) q^{29} -39.0872 q^{30} +155.641 q^{31} +(-10.4455 + 45.7647i) q^{32} +(200.819 - 96.7092i) q^{33} +(-8.42828 - 10.5687i) q^{34} +(-281.436 + 84.1527i) q^{35} +(-359.112 + 450.312i) q^{36} +(47.3283 - 207.359i) q^{37} +(0.319326 - 0.400423i) q^{38} +(154.121 - 74.2207i) q^{39} +(38.9318 + 48.8190i) q^{40} +(11.6961 + 5.63257i) q^{41} +(17.0413 - 42.3400i) q^{42} +(310.966 - 149.753i) q^{43} +(-159.790 - 76.9509i) q^{44} +(256.055 + 1121.85i) q^{45} +(22.4639 + 10.8180i) q^{46} +(-67.8488 + 85.0797i) q^{47} +623.986 q^{48} +(31.5452 - 341.546i) q^{49} +31.2617 q^{50} +(-340.464 + 426.929i) q^{51} +(-122.633 - 59.0569i) q^{52} +(-47.9243 - 209.970i) q^{53} +(-101.135 - 48.7039i) q^{54} +(-319.237 + 153.736i) q^{55} +(-69.8553 + 20.8876i) q^{56} +(-18.6401 - 8.97660i) q^{57} +(19.2443 + 24.1316i) q^{58} +(7.09251 - 3.41558i) q^{59} +(783.326 - 982.260i) q^{60} +(-25.9624 + 113.749i) q^{61} +(23.9684 - 30.0554i) q^{62} +(-1326.85 - 211.743i) q^{63} +(-304.713 - 382.098i) q^{64} +(-245.002 + 117.987i) q^{65} +(12.2505 - 53.6727i) q^{66} +258.343 q^{67} +434.498 q^{68} +(224.119 - 981.929i) q^{69} +(-27.0902 + 67.3069i) q^{70} +(82.2389 + 360.312i) q^{71} +(63.5555 + 278.455i) q^{72} +(113.679 + 142.549i) q^{73} +(-32.7541 - 41.0724i) q^{74} +(-281.006 - 1231.17i) q^{75} +(3.66315 + 16.0493i) q^{76} +(-27.3488 - 412.830i) q^{77} +(9.40176 - 41.1918i) q^{78} +1376.86 q^{79} -991.935 q^{80} +(-573.124 + 2511.02i) q^{81} +(2.88888 - 1.39121i) q^{82} +(-92.9045 - 116.499i) q^{83} +(722.487 + 1276.76i) q^{84} +(541.228 - 678.678i) q^{85} +(18.9697 - 83.1117i) q^{86} +(777.384 - 974.809i) q^{87} +(-79.2378 + 38.1589i) q^{88} +(725.229 + 909.408i) q^{89} +(256.070 + 123.317i) q^{90} +(-20.9892 - 316.831i) q^{91} +(-722.043 + 347.718i) q^{92} +(-1399.11 - 673.777i) q^{93} +(5.98095 + 26.2043i) q^{94} +(29.6317 + 14.2699i) q^{95} +(292.016 - 366.177i) q^{96} -1237.31 q^{97} +(-61.0974 - 58.6892i) q^{98} -1620.73 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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