LMFDB - Embedded newform 11.5.d.a.2.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [11,5,Mod(2,11)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(11, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([1]))

N = Newforms(chi, 5, names="a")

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

chi := DirichletCharacter("11.2");

S:= CuspForms(chi, 5);

N := Newforms(S);

Level:	$ N $	$=$	$ 11 $
Weight:	$ k $	$=$	$ 5 $
Character orbit:	$[\chi]$	$=$	11.d (of order $10$, degree $4$, 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:	$1.13706959392$
Analytic rank:	$0$
Dimension:	$12$
Relative dimension:	$3$ over $\Q(\zeta_{10})$
Coefficient field:	$\mathbb{Q}[x]/(x^{12} + \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{12} + 115x^{10} + 5030x^{8} + 102975x^{6} + 953170x^{4} + 2910655x^{2} + 73205 $ x^12 + 115x^10 + 5030x^8 + 102975x^6 + 953170x^4 + 2910655*x^2 + 73205
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			2.3
Root			$-5.04186i$ of defining polynomial
Character	$\chi$	$=$	11.2
Dual form			11.5.d.a.6.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(3.67706 + 1.19475i) q^{2} +(-1.64569 + 1.19566i) q^{3} +(-0.850950 - 0.618251i) q^{4} +(-1.76709 - 5.43854i) q^{5} +(-7.47979 + 2.43033i) q^{6} +(-2.52826 + 3.47985i) q^{7} +(-38.7511 - 53.3363i) q^{8} +(-23.7517 + 73.1002i) q^{9} +O(q^{10})$	\(q+(3.67706 + 1.19475i) q^{2} +(-1.64569 + 1.19566i) q^{3} +(-0.850950 - 0.618251i) q^{4} +(-1.76709 - 5.43854i) q^{5} +(-7.47979 + 2.43033i) q^{6} +(-2.52826 + 3.47985i) q^{7} +(-38.7511 - 53.3363i) q^{8} +(-23.7517 + 73.1002i) q^{9} -22.1090i q^{10} +(120.958 + 3.19753i) q^{11} +2.13961 q^{12} +(189.406 + 61.5418i) q^{13} +(-13.4541 + 9.77497i) q^{14} +(9.41072 + 6.83729i) q^{15} +(-73.5659 - 226.413i) q^{16} +(-269.440 + 87.5465i) q^{17} +(-174.673 + 240.416i) q^{18} +(-237.059 - 326.284i) q^{19} +(-1.85868 + 5.72043i) q^{20} -8.74968i q^{21} +(440.948 + 156.272i) q^{22} -189.240 q^{23} +(127.544 + 41.4416i) q^{24} +(479.181 - 348.145i) q^{25} +(622.930 + 452.585i) q^{26} +(-99.2315 - 305.403i) q^{27} +(4.30284 - 1.39808i) q^{28} +(-797.600 + 1097.80i) q^{29} +(26.4349 + 36.3845i) q^{30} +(421.011 - 1295.74i) q^{31} +134.411i q^{32} +(-202.882 + 139.362i) q^{33} -1095.34 q^{34} +(23.3929 + 7.60083i) q^{35} +(65.4058 - 47.5201i) q^{36} +(690.326 + 501.551i) q^{37} +(-481.853 - 1482.99i) q^{38} +(-385.286 + 125.187i) q^{39} +(-221.595 + 304.999i) q^{40} +(218.820 + 301.180i) q^{41} +(10.4537 - 32.1731i) q^{42} +854.475i q^{43} +(-100.952 - 77.5032i) q^{44} +439.530 q^{45} +(-695.846 - 226.094i) q^{46} +(1283.36 - 932.413i) q^{47} +(391.779 + 284.644i) q^{48} +(736.233 + 2265.89i) q^{49} +(2177.92 - 707.649i) q^{50} +(338.738 - 466.233i) q^{51} +(-123.127 - 169.469i) q^{52} +(-274.987 + 846.322i) q^{53} -1241.54i q^{54} +(-196.353 - 663.484i) q^{55} +283.575 q^{56} +(780.250 + 253.519i) q^{57} +(-4244.42 + 3083.75i) q^{58} +(-4679.23 - 3399.66i) q^{59} +(-3.78089 - 11.6364i) q^{60} +(-3716.82 + 1207.67i) q^{61} +(3096.16 - 4261.50i) q^{62} +(-194.327 - 267.468i) q^{63} +(-1337.64 + 4116.84i) q^{64} -1138.84i q^{65} +(-912.510 + 270.051i) q^{66} +6198.68 q^{67} +(283.406 + 92.0841i) q^{68} +(311.430 - 226.267i) q^{69} +(76.9361 + 55.8974i) q^{70} +(1651.10 + 5081.57i) q^{71} +(4819.30 - 1565.88i) q^{72} +(3573.88 - 4919.03i) q^{73} +(1939.14 + 2669.00i) q^{74} +(-372.317 + 1145.87i) q^{75} +424.213i q^{76} +(-316.939 + 412.830i) q^{77} -1566.29 q^{78} +(-4601.08 - 1494.98i) q^{79} +(-1101.36 + 800.182i) q^{80} +(-4508.34 - 3275.50i) q^{81} +(444.780 + 1368.89i) q^{82} +(-2421.43 + 786.770i) q^{83} +(-5.40950 + 7.44553i) q^{84} +(952.250 + 1310.66i) q^{85} +(-1020.88 + 3141.95i) q^{86} -2760.30i q^{87} +(-4516.70 - 6575.34i) q^{88} -1607.22 q^{89} +(1616.18 + 525.127i) q^{90} +(-693.023 + 503.511i) q^{91} +(161.034 + 116.998i) q^{92} +(856.411 + 2635.76i) q^{93} +(5832.97 - 1895.25i) q^{94} +(-1355.60 + 1865.83i) q^{95} +(-160.710 - 221.199i) q^{96} +(4666.32 - 14361.5i) q^{97} +9211.42i q^{98} +(-3106.69 + 8766.09i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 12 q - 5 q^{2} - 6 q^{3} + 7 q^{4} - 18 q^{5} + 75 q^{6} - 80 q^{7} - 245 q^{8} + q^{9}+O(q^{10}) $ 12 * q - 5 * q^2 - 6 * q^3 + 7 * q^4 - 18 * q^5 + 75 * q^6 - 80 * q^7 - 245 * q^8 + q^9	\( 12 q - 5 q^{2} - 6 q^{3} + 7 q^{4} - 18 q^{5} + 75 q^{6} - 80 q^{7} - 245 q^{8} + q^{9} - 43 q^{11} + 594 q^{12} + 250 q^{13} + 610 q^{14} + 1134 q^{15} - 633 q^{16} - 1250 q^{17} - 3150 q^{18} - 1025 q^{19} + 752 q^{20} - 35 q^{22} + 1684 q^{23} + 5345 q^{24} + 197 q^{25} + 3490 q^{26} - 687 q^{27} - 3580 q^{28} - 2690 q^{29} - 6740 q^{30} - 1136 q^{31} + 5939 q^{33} + 2370 q^{34} + 3610 q^{35} - 514 q^{36} - 336 q^{37} + 1900 q^{38} - 6880 q^{39} - 2340 q^{40} - 4550 q^{41} + 1310 q^{42} - 6268 q^{44} + 5136 q^{45} + 4150 q^{46} + 24 q^{47} + 344 q^{48} + 827 q^{49} + 8895 q^{50} + 13155 q^{51} + 14070 q^{52} + 414 q^{53} - 2738 q^{55} - 21340 q^{56} - 26925 q^{57} + 2980 q^{58} - 10011 q^{59} - 6856 q^{60} + 9460 q^{61} - 6200 q^{62} + 9150 q^{63} - 2633 q^{64} - 3210 q^{66} + 12154 q^{67} - 9400 q^{68} - 9022 q^{69} - 9380 q^{70} + 17574 q^{71} + 43045 q^{72} + 27950 q^{73} + 43270 q^{74} - 1761 q^{75} + 4090 q^{77} - 42920 q^{78} - 41540 q^{79} - 2308 q^{80} - 21080 q^{81} - 28175 q^{82} - 18665 q^{83} + 26250 q^{84} - 4230 q^{85} - 10125 q^{86} - 15125 q^{88} + 5554 q^{89} + 18400 q^{90} + 7390 q^{91} + 3904 q^{92} + 36898 q^{93} + 18920 q^{94} + 14110 q^{95} - 21140 q^{96} + 20769 q^{97} - 3269 q^{99}+O(q^{100}) \) 12 * q - 5 * q^2 - 6 * q^3 + 7 * q^4 - 18 * q^5 + 75 * q^6 - 80 * q^7 - 245 * q^8 + q^9 - 43 * q^11 + 594 * q^12 + 250 * q^13 + 610 * q^14 + 1134 * q^15 - 633 * q^16 - 1250 * q^17 - 3150 * q^18 - 1025 * q^19 + 752 * q^20 - 35 * q^22 + 1684 * q^23 + 5345 * q^24 + 197 * q^25 + 3490 * q^26 - 687 * q^27 - 3580 * q^28 - 2690 * q^29 - 6740 * q^30 - 1136 * q^31 + 5939 * q^33 + 2370 * q^34 + 3610 * q^35 - 514 * q^36 - 336 * q^37 + 1900 * q^38 - 6880 * q^39 - 2340 * q^40 - 4550 * q^41 + 1310 * q^42 - 6268 * q^44 + 5136 * q^45 + 4150 * q^46 + 24 * q^47 + 344 * q^48 + 827 * q^49 + 8895 * q^50 + 13155 * q^51 + 14070 * q^52 + 414 * q^53 - 2738 * q^55 - 21340 * q^56 - 26925 * q^57 + 2980 * q^58 - 10011 * q^59 - 6856 * q^60 + 9460 * q^61 - 6200 * q^62 + 9150 * q^63 - 2633 * q^64 - 3210 * q^66 + 12154 * q^67 - 9400 * q^68 - 9022 * q^69 - 9380 * q^70 + 17574 * q^71 + 43045 * q^72 + 27950 * q^73 + 43270 * q^74 - 1761 * q^75 + 4090 * q^77 - 42920 * q^78 - 41540 * q^79 - 2308 * q^80 - 21080 * q^81 - 28175 * q^82 - 18665 * q^83 + 26250 * q^84 - 4230 * q^85 - 10125 * q^86 - 15125 * q^88 + 5554 * q^89 + 18400 * q^90 + 7390 * q^91 + 3904 * q^92 + 36898 * q^93 + 18920 * q^94 + 14110 * q^95 - 21140 * q^96 + 20769 * q^97 - 3269 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/11\mathbb{Z}\right)^\times$.

$n$	$2$
$\chi(n)$	$e\left(\frac{1}{10}\right)$

Coefficient data

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

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

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

$2$	3.67706	+	1.19475i	0.919264	+	0.298687i	0.730165	−	0.683271i	$-0.239443\pi$
$2$	3.67706	+	1.19475i	0.919264	+	0.298687i	0.189099	+	0.981958i	$0.439443\pi$
$3$	−1.64569	+	1.19566i	−0.182854	+	0.132851i	−0.675447	−	0.737409i	$-0.736049\pi$
$3$	−1.64569	+	1.19566i	−0.182854	+	0.132851i	0.492593	+	0.870260i	$0.336049\pi$
$4$	−0.850950	−	0.618251i	−0.0531844	−	0.0386407i
$5$	−1.76709	−	5.43854i	−0.0706835	−	0.217542i	0.909474	−	0.415760i	$-0.136484\pi$
$5$	−1.76709	−	5.43854i	−0.0706835	−	0.217542i	−0.980158	+	0.198219i	$0.936484\pi$
$6$	−7.47979	+	2.43033i	−0.207772	+	0.0675092i
$7$	−2.52826	+	3.47985i	−0.0515971	+	0.0710173i	−0.834036	−	0.551710i	$-0.813975\pi$
$7$	−2.52826	+	3.47985i	−0.0515971	+	0.0710173i	0.782439	+	0.622727i	$0.213975\pi$
$8$	−38.7511	−	53.3363i	−0.605485	−	0.833379i
$9$	−23.7517	+	73.1002i	−0.293231	+	0.902472i
$10$		−	22.1090i		−	0.221090i
$11$	120.958	+	3.19753i	0.999651	+	0.0264259i
$11$	120.958	+	3.19753i	0.999651	+	0.0264259i
$12$	2.13961			0.0148584
$13$	189.406	+	61.5418i	1.12075	+	0.364152i	0.810052	−	0.586358i	$-0.199439\pi$
$13$	189.406	+	61.5418i	1.12075	+	0.364152i	0.310694	+	0.950510i	$0.399439\pi$
$14$	−13.4541	+	9.77497i	−0.0686433	+	0.0498723i
$15$	9.41072	+	6.83729i	0.0418254	+	0.0303880i
$16$	−73.5659	−	226.413i	−0.287367	−	0.884424i
$17$	−269.440	+	87.5465i	−0.932319	+	0.302929i	−0.735511	−	0.677513i	$-0.763058\pi$
$17$	−269.440	+	87.5465i	−0.932319	+	0.302929i	−0.196809	+	0.980442i	$0.563058\pi$
$18$	−174.673	+	240.416i	−0.539113	+	0.742026i
$19$	−237.059	−	326.284i	−0.656674	−	0.903834i	0.342692	−	0.939448i	$-0.388661\pi$
$19$	−237.059	−	326.284i	−0.656674	−	0.903834i	−0.999366	+	0.0356142i	$0.988661\pi$
$20$	−1.85868	+	5.72043i	−0.00464670	+	0.0143011i
$21$		−	8.74968i		−	0.0198405i
$22$	440.948	+	156.272i	0.911050	+	0.322875i
$23$	−189.240			−0.357731			−0.178866	−	0.983873i	$-0.557243\pi$
$23$	−189.240			−0.357731			−0.178866	+	0.983873i	$0.557243\pi$
$24$	127.544	+	41.4416i	0.221431	+	0.0719473i
$25$	479.181	−	348.145i	0.766689	−	0.557032i
$26$	622.930	+	452.585i	0.921494	+	0.669505i
$27$	−99.2315	−	305.403i	−0.136120	−	0.418934i
$28$	4.30284	−	1.39808i	0.00548832	−	0.00178326i
$29$	−797.600	+	1097.80i	−0.948394	+	1.30535i	0.00384249	+	0.999993i	$0.498777\pi$
$29$	−797.600	+	1097.80i	−0.948394	+	1.30535i	−0.952237	+	0.305360i	$0.901223\pi$
$30$	26.4349	+	36.3845i	0.0293721	+	0.0404273i
$31$	421.011	−	1295.74i	0.438096	−	1.34832i	−0.451784	−	0.892128i	$-0.649212\pi$
$31$	421.011	−	1295.74i	0.438096	−	1.34832i	0.889880	−	0.456195i	$-0.150788\pi$
$32$			134.411i			0.131261i
$33$	−202.882	+	139.362i	−0.186301	+	0.127973i
$34$	−1095.34			−0.947529
$35$	23.3929	+	7.60083i	0.0190963	+	0.00620476i
$36$	65.4058	−	47.5201i	0.0504674	−	0.0366667i
$37$	690.326	+	501.551i	0.504255	+	0.366363i	0.810640	−	0.585545i	$-0.199119\pi$
$37$	690.326	+	501.551i	0.504255	+	0.366363i	−0.306385	+	0.951908i	$0.599119\pi$
$38$	−481.853	−	1482.99i	−0.333693	−	1.02700i
$39$	−385.286	+	125.187i	−0.253311	+	0.0823057i
$40$	−221.595	+	304.999i	−0.138497	+	0.190624i
$41$	218.820	+	301.180i	0.130173	+	0.179167i	0.869128	−	0.494587i	$-0.164681\pi$
$41$	218.820	+	301.180i	0.130173	+	0.179167i	−0.738956	+	0.673754i	$0.764681\pi$
$42$	10.4537	−	32.1731i	0.00592611	−	0.0182387i
$43$			854.475i			0.462128i	0.972939	+	0.231064i	$0.0742207\pi$
$43$			854.475i			0.462128i	−0.972939	+	0.231064i	$0.925779\pi$
$44$	−100.952	−	77.5032i	−0.0521447	−	0.0400326i
$45$	439.530			0.217052
$46$	−695.846	−	226.094i	−0.328850	−	0.106850i
$47$	1283.36	−	932.413i	0.580967	−	0.422097i	−0.258106	−	0.966117i	$-0.583098\pi$
$47$	1283.36	−	932.413i	0.580967	−	0.422097i	0.839073	+	0.544020i	$0.183098\pi$
$48$	391.779	+	284.644i	0.170043	+	0.123544i
$49$	736.233	+	2265.89i	0.306636	+	0.943728i
$50$	2177.92	−	707.649i	0.871168	−	0.283060i
$51$	338.738	−	466.233i	0.130234	−	0.179252i
$52$	−123.127	−	169.469i	−0.0455350	−	0.0626736i
$53$	−274.987	+	846.322i	−0.0978949	+	0.301289i	−0.987997	−	0.154471i	$-0.950633\pi$
$53$	−274.987	+	846.322i	−0.0978949	+	0.301289i	0.890102	+	0.455761i	$0.150633\pi$
$54$		−	1241.54i		−	0.425769i
$55$	−196.353	−	663.484i	−0.0649101	−	0.219333i
$56$	283.575			0.0904256
$57$	780.250	+	253.519i	0.240151	+	0.0780297i
$58$	−4244.42	+	3083.75i	−1.26172	+	0.916691i
$59$	−4679.23	−	3399.66i	−1.34422	−	0.976632i	−0.999277	−	0.0380079i	$-0.987899\pi$
$59$	−4679.23	−	3399.66i	−1.34422	−	0.976632i	−0.344941	−	0.938624i	$-0.612101\pi$
$60$	−3.78089	−	11.6364i	−0.00105025	−	0.00323233i
$61$	−3716.82	+	1207.67i	−0.998877	+	0.324555i	−0.762417	−	0.647086i	$-0.775987\pi$
$61$	−3716.82	+	1207.67i	−0.998877	+	0.324555i	−0.236460	+	0.971641i	$0.575987\pi$
$62$	3096.16	−	4261.50i	0.805453	−	1.10861i
$63$	−194.327	−	267.468i	−0.0489613	−	0.0673894i
$64$	−1337.64	+	4116.84i	−0.326573	+	1.00509i
$65$		−	1138.84i		−	0.269548i
$66$	−912.510	+	270.051i	−0.209484	+	0.0619951i
$67$	6198.68			1.38086			0.690430	−	0.723399i	$-0.257421\pi$
$67$	6198.68			1.38086			0.690430	+	0.723399i	$0.257421\pi$
$68$	283.406	+	92.0841i	0.0612902	+	0.0199144i
$69$	311.430	−	226.267i	0.0654126	−	0.0475251i
$70$	76.9361	+	55.8974i	0.0157012	+	0.0114076i
$71$	1651.10	+	5081.57i	0.327535	+	1.00805i	0.970283	+	0.241971i	$0.0777940\pi$
$71$	1651.10	+	5081.57i	0.327535	+	1.00805i	−0.642749	+	0.766077i	$0.722206\pi$
$72$	4819.30	−	1565.88i	0.929648	−	0.302061i
$73$	3573.88	−	4919.03i	0.670648	−	0.923068i	−0.329127	−	0.944286i	$-0.606754\pi$
$73$	3573.88	−	4919.03i	0.670648	−	0.923068i	0.999775	+	0.0212178i	$0.00675434\pi$
$74$	1939.14	+	2669.00i	0.354116	+	0.487399i
$75$	−372.317	+	1145.87i	−0.0661897	+	0.203711i
$76$			424.213i			0.0734441i
$77$	−316.939	+	412.830i	−0.0534558	+	0.0696290i
$78$	−1566.29			−0.257443
$79$	−4601.08	−	1494.98i	−0.737235	−	0.239542i	−0.0837555	−	0.996486i	$-0.526691\pi$
$79$	−4601.08	−	1494.98i	−0.737235	−	0.239542i	−0.653480	+	0.756944i	$0.726691\pi$
$80$	−1101.36	+	800.182i	−0.172087	+	0.125029i
$81$	−4508.34	−	3275.50i	−0.687142	−	0.499238i
$82$	444.780	+	1368.89i	0.0661481	+	0.203583i
$83$	−2421.43	+	786.770i	−0.351492	+	0.114207i	−0.479441	−	0.877574i	$-0.659161\pi$
$83$	−2421.43	+	786.770i	−0.351492	+	0.114207i	0.127949	+	0.991781i	$0.459161\pi$
$84$	−5.40950	+	7.44553i	−0.000766652	+	0.00105521i
$85$	952.250	+	1310.66i	0.131799	+	0.181406i
$86$	−1020.88	+	3141.95i	−0.138032	+	0.424818i
$87$		−	2760.30i		−	0.364684i
$88$	−4516.70	−	6575.34i	−0.583251	−	0.849089i
$89$	−1607.22			−0.202906			−0.101453	−	0.994840i	$-0.532349\pi$
$89$	−1607.22			−0.202906			−0.101453	+	0.994840i	$0.532349\pi$
$90$	1616.18	+	525.127i	0.199528	+	0.0648305i
$91$	−693.023	+	503.511i	−0.0836884	+	0.0608031i
$92$	161.034	+	116.998i	0.0190257	+	0.0138230i
$93$	856.411	+	2635.76i	0.0990185	+	0.304748i
$94$	5832.97	−	1895.25i	0.660137	−	0.214492i
$95$	−1355.60	+	1865.83i	−0.150205	+	0.206740i
$96$	−160.710	−	221.199i	−0.0174382	−	0.0240016i
$97$	4666.32	−	14361.5i	0.495943	−	1.52635i	−0.319540	−	0.947573i	$-0.603528\pi$
$97$	4666.32	−	14361.5i	0.495943	−	1.52635i	0.815483	−	0.578781i	$-0.196472\pi$
$98$			9211.42i			0.959123i
$99$	−3106.69	+	8766.09i	−0.316977	+	0.894408i
$100$	−623.000			−0.0623000
$101$	−4217.78	−	1370.44i	−0.413467	−	0.134344i	0.0948944	−	0.995487i	$-0.469749\pi$
$101$	−4217.78	−	1370.44i	−0.413467	−	0.134344i	−0.508362	+	0.861144i	$0.669749\pi$
$102$	1802.59	−	1309.66i	0.173259	−	0.125880i
$103$	12242.8	+	8894.90i	1.15400	+	0.838430i	0.989008	−	0.147865i	$-0.0472402\pi$
$103$	12242.8	+	8894.90i	1.15400	+	0.838430i	0.164992	+	0.986295i	$0.447240\pi$
$104$	−4057.28	−	12487.0i	−0.375118	−	1.15450i
$105$	−47.5855	+	15.4615i	−0.00431614	+	0.00140240i
$106$	−2022.28	+	2783.43i	−0.179982	+	0.247725i
$107$	7188.59	+	9894.25i	0.627880	+	0.864202i	0.997897	−	0.0648227i	$-0.0206482\pi$
$107$	7188.59	+	9894.25i	0.627880	+	0.864202i	−0.370017	+	0.929025i	$0.620648\pi$
$108$	−104.375	+	321.233i	−0.00894846	+	0.0275405i
$109$		−	2157.06i		−	0.181555i	−0.995871	−	0.0907777i	$-0.971065\pi$
$109$		−	2157.06i		−	0.181555i	0.995871	−	0.0907777i	$-0.0289353\pi$
$110$	70.6944	−	2674.26i	0.00584251	−	0.221013i
$111$	−1735.74			−0.140877
$112$	973.875	+	316.431i	0.0776367	+	0.0252257i
$113$	8413.03	−	6112.42i	0.658863	−	0.478692i	−0.207416	−	0.978253i	$-0.566505\pi$
$113$	8413.03	−	6112.42i	0.658863	−	0.478692i	0.866279	+	0.499561i	$0.166505\pi$
$114$	2566.13	+	1864.40i	0.197456	+	0.143460i
$115$	334.404	+	1029.19i	0.0252857	+	0.0778215i
$116$	1357.43	−	441.057i	0.100879	−	0.0327777i
$117$	−8997.43	+	12383.9i	−0.657275	+	0.904661i
$118$	−13144.0	−	18091.2i	−0.943985	−	1.29928i
$119$	376.566	−	1158.95i	0.0265918	−	0.0818411i
$120$		−	766.885i		−	0.0532559i
$121$	14620.6	+	773.533i	0.998603	+	0.0528333i
$122$	−15109.8			−1.01517
$123$	−720.218	−	234.013i	−0.0476052	−	0.0154679i
$124$	−1159.35	+	842.317i	−0.0754000	+	0.0547813i
$125$	−5631.59	−	4091.59i	−0.360422	−	0.261862i
$126$	−394.995	−	1215.67i	−0.0248800	−	0.0765727i
$127$	−18504.7	+	6012.53i	−1.14729	+	0.372778i	−0.820122	−	0.572188i	$-0.806095\pi$
$127$	−18504.7	+	6012.53i	−1.14729	+	0.372778i	−0.327169	+	0.944966i	$0.606095\pi$
$128$	−8573.09	+	11799.9i	−0.523260	+	0.720206i
$129$	−1021.66	−	1406.20i	−0.0613943	−	0.0845020i
$130$	1360.63	−	4187.59i	0.0805106	−	0.247786i
$131$		−	10666.5i		−	0.621556i	−0.950483	−	0.310778i	$-0.899411\pi$
$131$		−	10666.5i		−	0.621556i	0.950483	−	0.310778i	$-0.100589\pi$
$132$	258.803	+	6.84149i	0.0148532	+	0.000392648i
$133$	1734.76			0.0980703
$134$	22792.9	+	7405.86i	1.26938	+	0.412445i
$135$	−1485.60	+	1079.35i	−0.0815142	+	0.0592235i
$136$	15110.5	+	10978.4i	0.816961	+	0.593557i
$137$	−5728.06	−	17629.1i	−0.305187	−	0.939269i	−0.979607	−	0.200922i	$-0.935606\pi$
$137$	−5728.06	−	17629.1i	−0.305187	−	0.939269i	0.674420	−	0.738348i	$-0.264394\pi$
$138$	1415.48	−	459.916i	0.0743266	−	0.0241502i
$139$	3900.98	−	5369.23i	0.201903	−	0.277896i	−0.696044	−	0.717999i	$-0.745058\pi$
$139$	3900.98	−	5369.23i	0.201903	−	0.277896i	0.897947	+	0.440103i	$0.145058\pi$
$140$	−15.2070	−	20.9306i	−0.000775867	−	0.00106789i
$141$	−997.152	+	3068.92i	−0.0501560	+	0.154364i
$142$			20657.9i			1.02449i
$143$	22713.3	+	8049.58i	1.11073	+	0.393642i
$144$	18298.1			0.882433
$145$	7379.87	+	2397.86i	0.351004	+	0.114048i
$146$	19018.4	−	13817.7i	0.892211	−	0.648229i
$147$	−3920.84	−	2848.66i	−0.181445	−	0.131827i
$148$	−277.348	−	853.589i	−0.0126620	−	0.0389696i
$149$	−16560.8	+	5380.94i	−0.745950	+	0.242374i	−0.657238	−	0.753683i	$-0.728275\pi$
$149$	−16560.8	+	5380.94i	−0.745950	+	0.242374i	−0.0887125	+	0.996057i	$0.528275\pi$
$150$	−2738.06	+	3768.62i	−0.121692	+	0.167494i
$151$	−15126.5	−	20819.8i	−0.663413	−	0.913110i	0.336175	−	0.941799i	$-0.390867\pi$
$151$	−15126.5	−	20819.8i	−0.663413	−	0.913110i	−0.999588	+	0.0286898i	$0.990867\pi$
$152$	−8216.47	+	25287.7i	−0.355630	+	1.09452i
$153$		−	21775.5i		−	0.930220i
$154$	−1658.63	+	1139.34i	−0.0699372	+	0.0480409i
$155$	−7790.88			−0.324282
$156$	405.256	+	131.676i	0.0166525	+	0.00541074i
$157$	−28801.8	+	20925.8i	−1.16848	+	0.848950i	−0.990826	−	0.135143i	$-0.956851\pi$
$157$	−28801.8	+	20925.8i	−1.16848	+	0.848950i	−0.177653	+	0.984093i	$0.556851\pi$
$158$	−15132.3	−	10994.3i	−0.606166	−	0.440405i
$159$	−559.372	−	1721.57i	−0.0221262	−	0.0680974i
$160$	731.001	−	237.517i	0.0285547	−	0.00927799i
$161$	478.447	−	658.526i	0.0184579	−	0.0254051i
$162$	−12664.0	−	17430.5i	−0.482549	−	0.664172i
$163$	1002.80	−	3086.30i	0.0377432	−	0.116162i	−0.930410	−	0.366521i	$-0.880549\pi$
$163$	1002.80	−	3086.30i	0.0377432	−	0.116162i	0.968153	+	0.250359i	$0.0805488\pi$
$164$		−	391.575i		−	0.0145589i
$165$	1116.44	+	857.114i	0.0410078	+	0.0314826i
$166$	−9843.73			−0.357226
$167$	−9806.86	−	3186.44i	−0.351639	−	0.114254i	0.127871	−	0.991791i	$-0.459186\pi$
$167$	−9806.86	−	3186.44i	−0.351639	−	0.114254i	−0.479510	+	0.877536i	$0.659186\pi$
$168$	−466.675	+	339.059i	−0.0165347	+	0.0120132i
$169$	8980.94	+	6525.03i	0.314448	+	0.228460i
$170$	1935.57	+	5957.07i	0.0669747	+	0.206127i
$171$	29482.0	−	9579.28i	1.00824	−	0.327597i
$172$	528.280	−	727.115i	0.0178570	−	0.0245780i
$173$	28966.7	+	39869.2i	0.967846	+	1.33213i	0.943127	+	0.332432i	$0.107869\pi$
$173$	28966.7	+	39869.2i	0.967846	+	1.33213i	0.0247192	+	0.999694i	$0.492131\pi$
$174$	3297.86	−	10149.8i	0.108926	−	0.335241i
$175$			2547.68i			0.0831894i
$176$	−8174.41	−	27621.6i	−0.263895	−	0.891709i
$177$	11765.4			0.375543
$178$	−5909.83	−	1920.22i	−0.186524	−	0.0606053i
$179$	15035.7	−	10924.1i	0.469264	−	0.340940i	−0.327891	−	0.944716i	$-0.606338\pi$
$179$	15035.7	−	10924.1i	0.469264	−	0.340940i	0.797154	+	0.603776i	$0.206338\pi$
$180$	−374.018	−	271.740i	−0.0115438	−	0.00838703i
$181$	10097.8	+	31077.9i	0.308227	+	0.948626i	0.978453	+	0.206469i	$0.0661972\pi$
$181$	10097.8	+	31077.9i	0.308227	+	0.948626i	−0.670226	+	0.742157i	$0.733803\pi$
$182$	−3149.85	+	1023.45i	−0.0950928	+	0.0308975i
$183$	4672.76	−	6431.50i	0.139531	−	0.192048i
$184$	7333.25	+	10093.4i	0.216601	+	0.298126i
$185$	1507.84	−	4640.65i	0.0440566	−	0.135592i
$186$			10715.0i			0.309719i
$187$	−32870.8	+	9727.88i	−0.939999	+	0.278186i
$188$	−1668.54			−0.0472085
$189$	1313.64	+	426.827i	0.0367750	+	0.0119489i
$190$	−7213.83	+	5241.15i	−0.199829	+	0.145184i
$191$	−6005.73	−	4363.41i	−0.164626	−	0.119608i	0.502422	−	0.864623i	$-0.332442\pi$
$191$	−6005.73	−	4363.41i	−0.164626	−	0.119608i	−0.667048	+	0.745015i	$0.732442\pi$
$192$	−2721.01	−	8374.39i	−0.0738120	−	0.227170i
$193$	16807.7	−	5461.14i	0.451225	−	0.146612i	−0.0745837	−	0.997215i	$-0.523763\pi$
$193$	16807.7	−	5461.14i	0.451225	−	0.146612i	0.525809	+	0.850603i	$0.323763\pi$
$194$	34316.7	−	47232.8i	0.911804	−	1.25499i
$195$	1361.67	+	1874.18i	0.0358098	+	0.0492880i
$196$	774.393	−	2383.34i	0.0201581	−	0.0620402i
$197$			32273.4i			0.831596i	0.909457	+	0.415798i	$0.136498\pi$
$197$			32273.4i			0.831596i	−0.909457	+	0.415798i	$0.863502\pi$
$198$	−21896.8	+	28521.7i	−0.558534	+	0.727520i
$199$	18945.7			0.478414			0.239207	−	0.970969i	$-0.423113\pi$
$199$	18945.7			0.478414			0.239207	+	0.970969i	$0.423113\pi$
$200$	−37137.5	−	12066.7i	−0.928438	−	0.301668i
$201$	−10201.1	+	7411.52i	−0.252496	+	0.183449i
$202$	−13871.7	−	10078.4i	−0.339959	−	0.246995i
$203$	−1803.65	−	5551.05i	−0.0437682	−	0.134705i
$204$	−576.499	+	187.316i	−0.0138528	+	0.00450105i
$205$	1251.31	−	1722.27i	0.0297753	−	0.0409821i
$206$	34390.2	+	47334.1i	0.810402	+	1.11542i
$207$	4494.77	−	13833.5i	0.104898	−	0.322843i
$208$		−	47411.3i		−	1.09586i
$209$	−27630.8	−	40224.6i	−0.632560	−	0.920871i
$210$	−193.447			−0.00438655
$211$	−44193.5	−	14359.3i	−0.992644	−	0.322530i	−0.232722	−	0.972543i	$-0.574763\pi$
$211$	−44193.5	−	14359.3i	−0.992644	−	0.322530i	−0.759923	+	0.650014i	$0.774763\pi$
$212$	757.239	−	550.167i	0.0168485	−	0.0122412i
$213$	−8793.03	−	6388.51i	−0.193811	−	0.140812i
$214$	14611.7	+	44970.3i	0.319061	+	0.981970i
$215$	4647.10	−	1509.93i	0.100532	−	0.0326649i
$216$	−12443.7	+	17127.3i	−0.266713	+	0.367098i
$217$	3444.55	+	4741.01i	0.0731497	+	0.100682i
$218$	2577.14	−	7931.63i	0.0542282	−	0.166897i
$219$			12368.3i			0.257883i
$220$	−243.113	+	685.987i	−0.00502300	+	0.0141733i
$221$	−56421.4			−1.15521
$222$	−6382.43	−	2073.78i	−0.129503	−	0.0420781i
$223$	11958.4	−	8688.31i	0.240472	−	0.174713i	−0.461022	−	0.887389i	$-0.652517\pi$
$223$	11958.4	−	8688.31i	0.240472	−	0.174713i	0.701494	+	0.712676i	$0.252517\pi$
$224$	−467.731	−	339.826i	−0.00932180	−	0.00677269i
$225$	14068.1	+	43297.2i	0.277889	+	0.855254i
$226$	38238.0	−	12424.3i	0.748649	−	0.243251i
$227$	27805.3	−	38270.7i	0.539605	−	0.742703i	−0.448951	−	0.893556i	$-0.648202\pi$
$227$	27805.3	−	38270.7i	0.539605	−	0.742703i	0.988556	+	0.150853i	$0.0482021\pi$
$228$	−507.215	−	698.122i	−0.00975714	−	0.0134296i
$229$	−3741.55	+	11515.3i	−0.0713479	+	0.219586i	−0.980372	−	0.197158i	$-0.936829\pi$
$229$	−3741.55	+	11515.3i	−0.0713479	+	0.219586i	0.909024	+	0.416744i	$0.136829\pi$
$230$			4183.91i			0.0790910i
$231$	27.9774	−	1058.34i	0.000524304	−	0.0198336i
$232$	89460.5			1.66209
$233$	56685.5	+	18418.2i	1.04414	+	0.339263i	0.780368	−	0.625321i	$-0.215032\pi$
$233$	56685.5	+	18418.2i	1.04414	+	0.339263i	0.263776	+	0.964584i	$0.415032\pi$
$234$	−47879.7	+	34786.6i	−0.874419	+	0.635303i
$235$	−7338.77	−	5331.93i	−0.132888	−	0.0965491i
$236$	1879.94	+	5785.87i	0.0337537	+	0.103883i
$237$	9359.43	−	3041.06i	0.166630	−	0.0541413i
$238$	2769.31	−	3811.63i	0.0488897	−	0.0672909i
$239$	−8291.68	−	11412.5i	−0.145160	−	0.199795i	0.730246	−	0.683185i	$-0.239406\pi$
$239$	−8291.68	−	11412.5i	−0.145160	−	0.199795i	−0.875406	+	0.483389i	$0.839406\pi$
$240$	855.740	−	2633.70i	0.0148566	−	0.0457239i
$241$		−	30792.3i		−	0.530161i	−0.964226	−	0.265080i	$-0.914602\pi$
$241$		−	30792.3i		−	0.530161i	0.964226	−	0.265080i	$-0.0853985\pi$
$242$	52836.4	+	20312.2i	0.902200	+	0.346838i
$243$	37346.4			0.632465
$244$	3909.47	+	1270.26i	0.0656656	+	0.0213361i
$245$	11022.1	−	8008.06i	0.183626	−	0.133412i
$246$	−2368.70	−	1720.96i	−0.0391417	−	0.0284381i
$247$	−24820.4	−	76389.2i	−0.406831	−	1.25210i
$248$	−85424.4	+	27756.1i	−1.38892	+	0.451289i
$249$	3044.20	−	4189.99i	0.0490993	−	0.0675793i
$250$	−15819.3	−	21773.3i	−0.253108	−	0.348373i
$251$	−34770.1	+	107011.i	−0.551898	+	1.69857i	0.152100	+	0.988365i	$0.451396\pi$
$251$	−34770.1	+	107011.i	−0.551898	+	1.69857i	−0.703998	+	0.710202i	$0.748604\pi$
$252$			347.745i			0.00547596i
$253$	−22890.0	−	605.101i	−0.357607	−	0.00945338i
$254$	−75226.2			−1.16601
$255$	−3134.21	−	1018.37i	−0.0482001	−	0.0156611i
$256$	10410.3	−	7563.52i	0.158848	−	0.115410i
$257$	−28119.5	−	20430.0i	−0.425737	−	0.309316i	0.354205	−	0.935168i	$-0.384751\pi$
$257$	−28119.5	−	20430.0i	−0.425737	−	0.309316i	−0.779942	+	0.625852i	$0.784751\pi$
$258$	−2076.66	−	6391.30i	−0.0311979	−	0.0960173i
$259$	−3490.64	+	1134.18i	−0.0520362	+	0.0169076i
$260$	−704.090	+	969.097i	−0.0104155	+	0.0143358i
$261$	−61305.2	−	84379.4i	−0.899946	−	1.23867i
$262$	12743.8	−	39221.4i	0.185651	−	0.571374i
$263$			78599.0i			1.13633i	0.822913	+	0.568167i	$0.192347\pi$
$263$			78599.0i			1.13633i	−0.822913	+	0.568167i	$0.807653\pi$
$264$	15294.9	+	5420.51i	0.219452	+	0.0777736i
$265$	5088.68			0.0724625
$266$	6378.83	+	2072.61i	0.0901525	+	0.0292923i
$267$	2644.97	−	1921.69i	0.0371021	−	0.0269563i
$268$	−5274.77	−	3832.34i	−0.0734401	−	0.0533574i
$269$	−9888.51	−	30433.7i	−0.136655	−	0.420582i	0.859189	−	0.511659i	$-0.170969\pi$
$269$	−9888.51	−	30433.7i	−0.136655	−	0.420582i	−0.995844	+	0.0910775i	$0.970969\pi$
$270$	−6752.17	+	2193.91i	−0.0926224	+	0.0300948i
$271$	−44758.1	+	61604.2i	−0.609442	+	0.838825i	−0.996531	−	0.0832170i	$-0.973481\pi$
$271$	−44758.1	+	61604.2i	−0.609442	+	0.838825i	0.387089	+	0.922042i	$0.373481\pi$
$272$	39643.3	+	54564.3i	0.535836	+	0.737514i
$273$	538.470	−	1657.24i	0.00722498	−	0.0222362i
$274$		−	71666.9i		−	0.954592i
$275$	59073.8	−	40578.6i	0.781141	−	0.536577i
$276$	−404.901			−0.00531533
$277$	124457.	+	40438.5i	1.62203	+	0.527031i	0.972421	−	0.233234i	$-0.0749308\pi$
$277$	124457.	+	40438.5i	1.62203	+	0.527031i	0.649613	+	0.760265i	$0.274931\pi$
$278$	20759.0	−	15082.3i	0.268607	−	0.195154i
$279$	84719.0	+	61551.9i	1.08836	+	0.790739i
$280$	−501.102	−	1542.23i	−0.00639160	−	0.0196713i
$281$	9194.42	−	2987.45i	0.116443	−	0.0378345i	−0.250216	−	0.968190i	$-0.580502\pi$
$281$	9194.42	−	2987.45i	0.116443	−	0.0378345i	0.366659	+	0.930356i	$0.380502\pi$
$282$	−7333.17	+	10093.2i	−0.0922132	+	0.126921i
$283$	−47234.2	−	65012.3i	−0.589771	−	0.811751i	0.404953	−	0.914338i	$-0.367288\pi$
$283$	−47234.2	−	65012.3i	−0.589771	−	0.811751i	−0.994724	+	0.102587i	$0.967288\pi$
$284$	1736.68	−	5344.96i	0.0215320	−	0.0662686i
$285$		−	4691.41i		−	0.0577582i
$286$	73901.0	+	56735.5i	0.903480	+	0.693622i
$287$	−1601.29			−0.0194405
$288$	−9825.49	−	3192.50i	−0.118459	−	0.0384898i
$289$	−2636.20	+	1915.31i	−0.0315634	+	0.0229321i
$290$	24271.3	+	17634.2i	0.288601	+	0.209681i
$291$	9492.14	+	29213.8i	0.112093	+	0.344987i
$292$	−6082.39	+	1976.29i	−0.0713360	+	0.0231785i
$293$	−38585.5	+	53108.3i	−0.449457	+	0.618625i	−0.972281	−	0.233816i	$-0.924879\pi$
$293$	−38585.5	+	53108.3i	−0.449457	+	0.618625i	0.522823	+	0.852441i	$0.324879\pi$
$294$	−11013.7	−	15159.1i	−0.127421	−	0.175380i
$295$	−10220.6	+	31455.6i	−0.117444	+	0.361455i
$296$		−	56255.0i		−	0.642063i
$297$	−11026.3	−	37258.2i	−0.125002	−	0.422385i
$298$	−67324.0			−0.758119
$299$	−35843.2	−	11646.2i	−0.400926	−	0.130269i
$300$	1025.26	−	744.896i	0.0113918	−	0.00827662i
$301$	−2973.44	−	2160.33i	−0.0328191	−	0.0238445i
$302$	−30746.5	−	94628.0i	−0.337118	−	1.03754i
$303$	8579.72	−	2787.72i	0.0934518	−	0.0303643i
$304$	−56435.3	+	77676.6i	−0.610666	+	0.840510i
$305$	13135.9	+	18080.0i	0.141208	+	0.194357i
$306$	26016.3	−	80069.8i	0.277845	−	0.855118i
$307$			120881.i			1.28257i	0.767303	+	0.641284i	$0.221598\pi$
$307$			120881.i			1.28257i	−0.767303	+	0.641284i	$0.778402\pi$
$308$	524.932	−	155.350i	0.00553352	−	0.00163761i
$309$	−30783.1			−0.322400
$310$	−28647.5	−	9308.14i	−0.298101	−	0.0968589i
$311$	92238.4	−	67015.1i	0.953654	−	0.692870i	0.00198576	−	0.999998i	$-0.499368\pi$
$311$	92238.4	−	67015.1i	0.953654	−	0.692870i	0.951668	+	0.307128i	$0.0993679\pi$
$312$	21607.3	+	15698.6i	0.221968	+	0.161269i
$313$	−22788.6	−	70136.1i	−0.232610	−	0.715901i	−0.997429	−	0.0716561i	$-0.977172\pi$
$313$	−22788.6	−	70136.1i	−0.232610	−	0.715901i	0.764819	−	0.644245i	$-0.222828\pi$
$314$	−130907.	+	42534.3i	−1.32771	+	0.431400i
$315$	−1111.24	+	1529.50i	−0.0111992	+	0.0154144i
$316$	2991.02	+	4116.78i	0.0299533	+	0.0412272i
$317$	46335.7	−	142607.i	0.461102	−	1.41913i	−0.402718	−	0.915324i	$-0.631934\pi$
$317$	46335.7	−	142607.i	0.461102	−	1.41913i	0.863819	−	0.503801i	$-0.168066\pi$
$318$		−	6998.62i		−	0.0692083i
$319$	−99986.1	+	130237.i	−0.982558	+	1.27983i
$320$	24753.3			0.241732
$321$	−23660.3	−	7687.71i	−0.229621	−	0.0746083i
$322$	2546.05	−	1849.81i	0.0245559	−	0.0178409i
$323$	92438.3	+	67160.4i	0.886027	+	0.643736i
$324$	1811.29	+	5574.57i	0.0172543	+	0.0531033i
$325$	112185.	−	36451.2i	1.06211	−	0.345100i
$326$	7374.69	−	10150.4i	0.0693919	−	0.0955097i
$327$	2579.11	+	3549.84i	0.0241198	+	0.0331981i
$328$	7584.31	−	23342.1i	0.0704966	−	0.216966i
$329$			6823.26i			0.0630377i
$330$	3081.17	+	4485.52i	0.0282935	+	0.0411893i
$331$	−78994.5			−0.721009			−0.360505	−	0.932757i	$-0.617395\pi$
$331$	−78994.5			−0.721009			−0.360505	+	0.932757i	$0.617395\pi$
$332$	2546.94	+	827.550i	0.0231069	+	0.00750789i
$333$	−53059.9	+	38550.3i	−0.478495	+	0.347647i
$334$	−32253.4	−	23433.5i	−0.289123	−	0.210060i
$335$	−10953.6	−	33711.8i	−0.0976041	−	0.300394i
$336$	−1981.04	+	643.678i	−0.0175475	+	0.00570151i
$337$	−54120.2	+	74490.1i	−0.476540	+	0.655902i	−0.977835	−	0.209375i	$-0.932857\pi$
$337$	−54120.2	+	74490.1i	−0.476540	+	0.655902i	0.501295	+	0.865276i	$0.332857\pi$
$338$	25227.6	+	34722.9i	0.220822	+	0.303936i
$339$	−6536.82	+	20118.3i	−0.0568810	+	0.175062i
$340$		−	1704.03i		−	0.0147408i
$341$	55067.7	−	155383.i	0.473574	−	1.33627i
$342$	119852.			1.02469
$343$	−19568.4	−	6358.15i	−0.166328	−	0.0540434i
$344$	45574.5	−	33111.8i	0.385128	−	0.279812i
$345$	−1780.88	−	1293.89i	−0.0149623	−	0.0108707i
$346$	58878.4	+	181209.i	0.491818	+	1.51366i
$347$	6762.59	−	2197.30i	0.0561635	−	0.0182486i	−0.280801	−	0.959766i	$-0.590600\pi$
$347$	6762.59	−	2197.30i	0.0561635	−	0.0182486i	0.336964	+	0.941518i	$0.390600\pi$
$348$	−1706.56	+	2348.87i	−0.0140917	+	0.0193955i
$349$	58471.7	+	80479.3i	0.480059	+	0.660744i	0.978516	−	0.206170i	$-0.0660999\pi$
$349$	58471.7	+	80479.3i	0.480059	+	0.660744i	−0.498457	+	0.866914i	$0.666100\pi$
$350$	−3043.83	+	9367.95i	−0.0248476	+	0.0764730i
$351$		−	63952.1i		−	0.519088i
$352$	−429.785	+	16258.1i	−0.00346869	+	0.131215i
$353$	−84674.3			−0.679520			−0.339760	−	0.940512i	$-0.610346\pi$
$353$	−84674.3			−0.679520			−0.339760	+	0.940512i	$0.610346\pi$
$354$	43261.9	+	14056.7i	0.345223	+	0.112170i
$355$	24718.7	−	17959.2i	0.196141	−	0.142505i
$356$	1367.66	+	993.664i	0.0107914	+	0.00784042i
$357$	766.003	+	2357.52i	0.00601027	+	0.0184977i
$358$	68338.5	−	22204.5i	0.533212	−	0.173251i
$359$	107040.	−	147328.i	0.830534	−	1.14313i	−0.157289	−	0.987553i	$-0.550275\pi$
$359$	107040.	−	147328.i	0.830534	−	1.14313i	0.987823	−	0.155580i	$-0.0497246\pi$
$360$	−17032.2	−	23442.9i	−0.131422	−	0.180886i
$361$	−9992.76	+	30754.6i	−0.0766780	+	0.235991i
$362$			126340.i			0.964101i
$363$	−24985.7	+	16208.2i	−0.189618	+	0.123005i
$364$	901.024			0.00680039
$365$	−33067.7	−	10744.3i	−0.248209	−	0.0806481i
$366$	24866.0	−	18066.2i	0.185628	−	0.134867i
$367$	−116948.	−	84967.6i	−0.868281	−	0.630843i	0.0618443	−	0.998086i	$-0.480302\pi$
$367$	−116948.	−	84967.6i	−0.868281	−	0.630843i	−0.930125	+	0.367243i	$0.880302\pi$
$368$	13921.6	+	42846.3i	0.102800	+	0.316386i
$369$	−27213.7	+	8842.26i	−0.199864	+	0.0649397i
$370$	11088.8	−	15262.4i	0.0809993	−	0.111486i
$371$	−2249.83	−	3096.63i	−0.0163457	−	0.0224979i
$372$	900.801	−	2772.38i	0.00650943	−	0.0200340i
$373$		−	106987.i		−	0.768979i	−0.923129	−	0.384489i	$-0.874378\pi$
$373$		−	106987.i		−	0.768979i	0.923129	−	0.384489i	$-0.125622\pi$
$374$	−132490.	−	3502.40i	−0.947198	−	0.0250393i
$375$	14160.0			0.100693
$376$	−99462.8	−	32317.4i	−0.703534	−	0.228592i
$377$	−218631.	+	158845.i	−1.53826	+	1.11761i
$378$	4320.38	+	3138.94i	0.0302369	+	0.0219684i
$379$	−37945.5	−	116784.i	−0.264169	−	0.813028i	−0.991884	−	0.127148i	$-0.959418\pi$
$379$	−37945.5	−	116784.i	−0.264169	−	0.813028i	0.727715	−	0.685880i	$-0.240582\pi$
$380$	2307.10	−	749.622i	0.0159772	−	0.00519129i
$381$	23263.9	−	32020.0i	0.160263	−	0.220583i
$382$	−16870.2	−	23219.9i	−0.115610	−	0.159123i
$383$	−57765.5	+	177784.i	−0.393796	+	1.21198i	0.536100	+	0.844154i	$0.319897\pi$
$383$	−57765.5	+	177784.i	−0.393796	+	1.21198i	−0.929896	+	0.367824i	$0.880103\pi$
$384$		−	29669.4i		−	0.201208i
$385$	2805.25	+	994.179i	0.0189256	+	0.00670723i
$386$	68327.5			0.458586
$387$	−62462.3	−	20295.2i	−0.417058	−	0.135510i
$388$	−12849.8	+	9335.93i	−0.0853558	+	0.0620146i
$389$	−60422.4	−	43899.4i	−0.399299	−	0.290108i	0.369956	−	0.929049i	$-0.379373\pi$
$389$	−60422.4	−	43899.4i	−0.399299	−	0.290108i	−0.769256	+	0.638941i	$0.779373\pi$
$390$	2767.77	+	8518.31i	0.0181970	+	0.0560046i
$391$	50988.9	−	16567.3i	0.333520	−	0.108367i
$392$	92324.4	−	127074.i	0.600820	−	0.826957i
$393$	12753.5	+	17553.7i	0.0825744	+	0.113654i
$394$	−38558.6	+	118671.i	−0.248387	+	0.764457i
$395$			27664.9i			0.177311i
$396$	8063.28	−	5538.79i	0.0514188	−	0.0353203i
$397$	245289.			1.55631			0.778157	−	0.628070i	$-0.216155\pi$
$397$	245289.			1.55631			0.778157	+	0.628070i	$0.216155\pi$
$398$	69664.3	+	22635.3i	0.439789	+	0.142896i
$399$	−2854.88	+	2074.19i	−0.0179325	+	0.0130288i
$400$	−114076.	−	82880.9i	−0.712974	−	0.518006i
$401$	81207.9	+	249932.i	0.505021	+	1.55429i	0.800735	+	0.599018i	$0.204442\pi$
$401$	81207.9	+	249932.i	0.505021	+	1.55429i	−0.295715	+	0.955276i	$0.595558\pi$
$402$	−46364.9	+	15064.9i	−0.286904	+	0.0932208i
$403$	159484.	−	219511.i	0.981990	−	1.35159i
$404$	2741.84	+	3773.82i	0.0167989	+	0.0231216i
$405$	−9847.31	+	30306.9i	−0.0600354	+	0.184770i
$406$		−	22566.4i		−	0.136902i
$407$	81896.5	+	62873.8i	0.494398	+	0.379560i
$408$	−37993.6			−0.228239
$409$	293990.	+	95523.0i	1.75746	+	0.571033i	0.996932	−	0.0782718i	$-0.0249402\pi$
$409$	293990.	+	95523.0i	1.75746	+	0.571033i	0.760528	+	0.649305i	$0.224940\pi$
$410$	6658.80	−	4837.90i	0.0396122	−	0.0287799i
$411$	30505.1	+	22163.2i	0.180588	+	0.131205i
$412$	−4918.71	−	15138.2i	−0.0289772	−	0.0891827i
$413$	23660.6	−	7687.79i	0.138716	−	0.0450714i
$414$	33055.1	−	45496.4i	0.192858	−	0.265446i
$415$	8557.76	+	11778.8i	0.0496894	+	0.0683916i
$416$	−8271.91	+	25458.3i	−0.0477990	+	0.147110i
$417$			13500.3i			0.0776376i
$418$	−53541.9	−	180920.i	−0.306437	−	1.03546i
$419$	48418.4			0.275793			0.137896	−	0.990447i	$-0.455966\pi$
$419$	48418.4			0.275793			0.137896	+	0.990447i	$0.455966\pi$
$420$	50.0519	+	16.2628i	0.000283741	+	9.21930e-5i
$421$	−88758.3	+	64486.7i	−0.500778	+	0.363836i	−0.809314	−	0.587376i	$-0.800161\pi$
$421$	−88758.3	+	64486.7i	−0.500778	+	0.363836i	0.308536	+	0.951213i	$0.400161\pi$
$422$	−145346.	−	105600.i	−0.816167	−	0.592980i
$423$	37677.7	+	115960.i	0.210573	+	0.648078i
$424$	55795.7	−	18129.1i	0.310362	−	0.100843i
$425$	−98631.7	+	135755.i	−0.546058	+	0.751584i
$426$	−24699.8	−	33996.4i	−0.136105	−	0.187333i
$427$	5194.58	−	15987.3i	0.0284901	−	0.0876836i
$428$		−	12863.9i		−	0.0702237i
$429$	−47003.6	+	13910.4i	−0.255398	+	0.0755830i
$430$	18891.6			0.102172
$431$	−297973.	−	96817.2i	−1.60406	−	0.521192i	−0.635957	−	0.771725i	$-0.719394\pi$
$431$	−297973.	−	96817.2i	−1.60406	−	0.521192i	−0.968108	+	0.250533i	$0.919394\pi$
$432$	−61847.1	+	44934.5i	−0.331399	+	0.240776i
$433$	21555.5	+	15661.0i	0.114969	+	0.0835301i	0.643784	−	0.765207i	$-0.277363\pi$
$433$	21555.5	+	15661.0i	0.114969	+	0.0835301i	−0.528815	+	0.848737i	$0.677363\pi$
$434$	7001.48	+	21548.3i	0.0371715	+	0.114402i
$435$	−15012.0	+	4877.69i	−0.0793340	+	0.0257772i
$436$	−1333.60	+	1835.55i	−0.00701543	+	0.00965590i
$437$	44861.1	+	61746.0i	0.234913	+	0.323330i
$438$	−14777.0	+	45479.1i	−0.0770263	+	0.237063i
$439$		−	191516.i		−	0.993745i	−0.867824	−	0.496872i	$-0.834482\pi$
$439$		−	191516.i		−	0.993745i	0.867824	−	0.496872i	$-0.165518\pi$
$440$	−27778.9	+	36183.5i	−0.143486	+	0.186898i
$441$	−183124.			−0.941603
$442$	−207465.	−	67409.4i	−1.06194	−	0.345045i
$443$	66184.9	−	48086.2i	0.337250	−	0.245026i	−0.406251	−	0.913762i	$-0.633164\pi$
$443$	66184.9	−	48086.2i	0.337250	−	0.245026i	0.743501	+	0.668735i	$0.233164\pi$
$444$	1477.03	+	1073.13i	0.00749245	+	0.00544358i
$445$	2840.09	+	8740.91i	0.0143421	+	0.0441404i
$446$	54352.2	−	17660.1i	0.273242	−	0.0887816i
$447$	20820.2	−	28656.5i	0.104200	−	0.143419i
$448$	−10944.1	−	15063.2i	−0.0545284	−	0.0750519i
$449$	43036.9	−	132454.i	0.213476	−	0.657011i	−0.785783	−	0.618503i	$-0.787740\pi$
$449$	43036.9	−	132454.i	0.213476	−	0.657011i	0.999258	−	0.0385080i	$-0.0122605\pi$
$450$			176014.i			0.869206i
$451$	25505.0	+	37129.7i	0.125392	+	0.182545i
$452$	−10938.1			−0.0535382
$453$	49786.9	+	16176.7i	0.242615	+	0.0788305i
$454$	147966.	−	107503.i	0.717876	−	0.521567i
$455$	3963.00	+	2879.29i	0.0191426	+	0.0139079i
$456$	−16713.8	−	51439.7i	−0.0803795	−	0.247383i
$457$	−154413.	+	50171.8i	−0.739352	+	0.240230i	−0.654393	−	0.756154i	$-0.727076\pi$
$457$	−154413.	+	50171.8i	−0.739352	+	0.240230i	−0.0849588	+	0.996384i	$0.527076\pi$
$458$	−27515.8	+	37872.3i	−0.131175	+	0.180547i
$459$	53473.9	+	73600.6i	0.253815	+	0.349346i
$460$	351.736	−	1082.53i	0.00166227	−	0.00511594i
$461$		−	112857.i		−	0.531039i	−0.964106	−	0.265519i	$-0.914457\pi$
$461$		−	112857.i		−	0.531039i	0.964106	−	0.265519i	$-0.0855435\pi$
$462$	1367.33	−	3858.15i	0.00640601	−	0.0180757i
$463$	87643.3			0.408843			0.204422	−	0.978883i	$-0.434469\pi$
$463$	87643.3			0.408843			0.204422	+	0.978883i	$0.434469\pi$
$464$	307232.	+	99825.8i	1.42702	+	0.463668i
$465$	12821.3	−	9315.25i	0.0592963	−	0.0430813i
$466$	186431.	+	135450.i	0.858510	+	0.623744i
$467$	−79391.5	−	244342.i	−0.364033	−	1.12038i	−0.950585	−	0.310465i	$-0.899515\pi$
$467$	−79391.5	−	244342.i	−0.364033	−	1.12038i	0.586552	−	0.809911i	$-0.300485\pi$
$468$	15312.7	−	4975.41i	0.0699135	−	0.0227163i
$469$	−15671.9	+	21570.5i	−0.0712484	+	0.0980649i
$470$	−20614.8	−	28373.8i	−0.0933217	−	0.128446i
$471$	22378.7	−	68874.5i	0.100877	−	0.310468i
$472$			381313.i			1.71158i
$473$	−2732.21	+	103355.i	−0.0122122	+	0.461967i
$474$	38048.5			0.169348
$475$	−227188.	−	73817.9i	−1.00693	−	0.327171i
$476$	−1036.96	+	753.397i	−0.00457666	+	0.00332514i
$477$	−55334.9	−	40203.2i	−0.243199	−	0.176695i
$478$	−16853.9	−	51870.9i	−0.0737640	−	0.227022i
$479$	−1835.97	+	596.544i	−0.00800194	+	0.00259999i	−0.313015	−	0.949748i	$-0.601339\pi$
$479$	−1835.97	+	596.544i	−0.00800194	+	0.00259999i	0.305013	+	0.952348i	$0.401339\pi$
$480$	−919.009	+	1264.91i	−0.00398875	+	0.00549005i
$481$	99885.5	+	137481.i	0.431730	+	0.594226i
$482$	36789.0	−	113225.i	0.158352	−	0.487358i
$483$			1655.79i			0.00709758i
$484$	−11963.1	−	9697.41i	−0.0510686	−	0.0413966i
$485$	−86351.2			−0.367100
$486$	137325.	+	44619.6i	0.581402	+	0.188909i
$487$	40263.5	−	29253.1i	0.169767	−	0.123343i	−0.499657	−	0.866223i	$-0.666541\pi$
$487$	40263.5	−	29253.1i	0.169767	−	0.123343i	0.669424	+	0.742880i	$0.266541\pi$
$488$	208443.	+	151443.i	0.875283	+	0.635930i
$489$	2039.87	+	6278.08i	0.00853071	+	0.0262548i
$490$	50096.7	−	16277.4i	0.208649	−	0.0677942i
$491$	−153461.	+	211221.i	−0.636552	+	0.876139i	−0.998426	−	0.0560880i	$-0.982137\pi$
$491$	−153461.	+	211221.i	−0.636552	+	0.876139i	0.361873	+	0.932227i	$0.382137\pi$
$492$	468.191	+	644.409i	0.00193416	+	0.00266214i
$493$	118797.	−	365619.i	0.488777	−	1.50430i
$494$		−	310541.i		−	1.27252i
$495$	53164.5	+	1405.41i	0.216976	+	0.00573579i
$496$	−324343.			−1.31838
$497$	−21857.5	−	7101.94i	−0.0884887	−	0.0287517i
$498$	16199.7	−	11769.8i	0.0653203	−	0.0474579i
$499$	244238.	+	177450.i	0.980873	+	0.712646i	0.957904	−	0.287090i	$-0.0926879\pi$
$499$	244238.	+	177450.i	0.980873	+	0.712646i	0.0229696	+	0.999736i	$0.492688\pi$
$500$	2262.57	+	6963.48i	0.00905028	+	0.0278539i
$501$	19948.9	−	6481.80i	0.0794774	−	0.0258238i
$502$	−255703.	+	351945.i	−1.01468	+	1.39659i
$503$	−117828.	−	162177.i	−0.465708	−	0.640992i	0.509972	−	0.860191i	$-0.329656\pi$
$503$	−117828.	−	162177.i	−0.465708	−	0.640992i	−0.975680	+	0.219199i	$0.929656\pi$
$504$	−6735.38	+	20729.4i	−0.0265156	+	0.0816066i
$505$			25360.2i			0.0994422i
$506$	−83445.0	−	29572.8i	−0.325911	−	0.115503i
$507$	−22581.5			−0.0878491
$508$	19463.8	+	6324.17i	0.0754224	+	0.0245062i
$509$	95901.4	−	69676.5i	0.370160	−	0.268937i	−0.387117	−	0.922030i	$-0.626529\pi$
$509$	95901.4	−	69676.5i	0.370160	−	0.268937i	0.757277	+	0.653094i	$0.226529\pi$
$510$	−10308.0	−	7489.18i	−0.0396308	−	0.0287935i
$511$	8081.77	+	24873.1i	0.0309503	+	0.0952552i
$512$	269261.	−	87488.1i	1.02715	−	0.333741i
$513$	−76124.4	+	104776.i	−0.289261	+	0.398133i
$514$	−78988.2	−	108718.i	−0.298976	−	0.411505i
$515$	26741.2	−	82300.9i	0.100825	−	0.310306i
$516$			1828.25i			0.00686650i
$517$	158213.	−	108679.i	0.591918	−	0.406597i
$518$	−14190.3			−0.0528851
$519$	−95340.1	−	30977.9i	−0.353949	−	0.115005i
$520$	−60741.6	+	44131.4i	−0.224636	+	0.163208i
$521$	−110386.	−	80200.2i	−0.406667	−	0.295461i	0.365584	−	0.930778i	$-0.380869\pi$
$521$	−110386.	−	80200.2i	−0.406667	−	0.295461i	−0.772251	+	0.635318i	$0.780869\pi$
$522$	−124611.	−	383512.i	−0.457313	−	1.40747i
$523$	−494141.	+	160556.i	−1.80654	+	0.586980i	−0.999991	−	0.00418925i	$-0.998667\pi$
$523$	−494141.	+	160556.i	−1.80654	+	0.586980i	−0.806548	+	0.591169i	$0.798667\pi$
$524$	−6594.58	+	9076.67i	−0.0240173	+	0.0330570i
$525$	−3046.16	−	4192.67i	−0.0110518	−	0.0152115i
$526$	−93906.1	+	289013.i	−0.339408	+	1.04459i
$527$			385982.i			1.38978i
$528$	46478.6	+	35682.7i	0.166719	+	0.127994i
$529$	−244029.			−0.872028
$530$	18711.4	+	6079.69i	0.0666122	+	0.0216436i
$531$	359655.	−	261305.i	1.27555	−	0.926741i
$532$	−1476.20	−	1072.52i	−0.00521580	−	0.00378950i
$533$	22910.7	+	70511.9i	0.0806462	+	0.248204i
$534$	12021.7	−	3906.07i	0.0421582	−	0.0136980i
$535$	41107.4	−	56579.5i	0.143619	−	0.197675i
$536$	−240206.	−	330615.i	−0.836091	−	1.15078i
$537$	−11682.5	+	35955.1i	−0.0405124	+	0.124684i
$538$		−	123721.i		−	0.427443i
$539$	81807.8	+	276431.i	0.281590	+	0.951501i
$540$	1931.48			0.00662372
$541$	365219.	+	118667.i	1.24784	+	0.405447i	0.857146	−	0.515074i	$-0.172236\pi$
$541$	365219.	+	118667.i	1.24784	+	0.405447i	0.390693	+	0.920521i	$0.372236\pi$
$542$	−238179.	+	173047.i	−0.810785	+	0.589070i
$543$	−53776.5	−	39070.9i	−0.182387	−	0.132512i
$544$	−11767.2	−	36215.8i	−0.0397628	−	0.122377i
$545$	−11731.3	+	3811.71i	−0.0394958	+	0.0128330i
$546$	3959.97	−	5450.43i	0.0132833	−	0.0182829i
$547$	−30441.8	−	41899.6i	−0.101741	−	0.140035i	0.755111	−	0.655597i	$-0.227583\pi$
$547$	−30441.8	−	41899.6i	−0.101741	−	0.140035i	−0.856852	+	0.515563i	$0.827583\pi$
$548$	−6024.95	+	18542.9i	−0.0200628	+	0.0617471i
$549$		−	300385.i		−	0.996628i
$550$	265699.	−	78631.6i	0.878344	−	0.259939i
$551$	547273.			1.80261
$552$	−24136.5	−	7842.41i	−0.0792128	−	0.0257378i
$553$	16835.0	−	12231.4i	0.0550508	−	0.0399968i
$554$	409322.	+	297390.i	1.33366	+	0.968961i
$555$	3067.21	+	9439.91i	0.00995768	+	0.0306466i
$556$	−6639.07	+	2157.16i	−0.0214762	+	0.00697804i
$557$	−107037.	+	147324.i	−0.345005	+	0.474859i	−0.945895	−	0.324473i	$-0.894813\pi$
$557$	−107037.	+	147324.i	−0.345005	+	0.474859i	0.600890	+	0.799332i	$0.294813\pi$
$558$	237977.	+	327548.i	0.764306	+	1.05198i
$559$	−52585.9	+	161843.i	−0.168285	+	0.517928i
$560$		−	5855.62i		−	0.0186723i
$561$	42463.8	−	55311.4i	0.134925	−	0.175747i
$562$	37377.6			0.118342
$563$	183696.	+	59686.4i	0.579539	+	0.188304i	0.584094	−	0.811686i	$-0.301450\pi$
$563$	183696.	+	59686.4i	0.579539	+	0.188304i	−0.00455489	+	0.999990i	$0.501450\pi$
$564$	2745.89	−	1995.00i	0.00863226	−	0.00627170i
$565$	−48109.2	−	34953.4i	−0.150706	−	0.109494i
$566$	−96009.5	−	295487.i	−0.299696	−	0.922371i
$567$	22796.5	−	7407.03i	0.0709091	−	0.0230398i
$568$	207050.	−	284980.i	0.641769	−	0.883319i
$569$	−154526.	−	212687.i	−0.477285	−	0.656926i	0.500695	−	0.865624i	$-0.333078\pi$
$569$	−154526.	−	212687.i	−0.477285	−	0.656926i	−0.977980	+	0.208697i	$0.933078\pi$
$570$	5605.05	−	17250.6i	0.0172516	−	0.0530950i
$571$			235361.i			0.721876i	0.932590	+	0.360938i	$0.117543\pi$
$571$			235361.i			0.721876i	−0.932590	+	0.360938i	$0.882457\pi$
$572$	−14351.3	−	20892.3i	−0.0438629	−	0.0638550i
$573$	15100.7			0.0459926
$574$	−5888.05	−	1913.14i	−0.0178710	−	0.00580662i
$575$	−90680.1	+	65882.9i	−0.274269	+	0.199268i
$576$	−269171.	−	195564.i	−0.811302	−	0.589446i
$577$	47468.2	+	146092.i	0.142578	+	0.438809i	0.996692	−	0.0812772i	$-0.0258999\pi$
$577$	47468.2	+	146092.i	0.142578	+	0.438809i	−0.854114	+	0.520086i	$0.825900\pi$
$578$	−11981.8	+	3893.12i	−0.0358646	+	0.0116531i
$579$	−21130.5	+	29083.6i	−0.0630307	+	0.0867543i
$580$	−4797.41	−	6603.07i	−0.0142610	−	0.0196286i
$581$	3384.16	−	10415.4i	0.0100253	−	0.0308548i
$582$			118762.i			0.350614i
$583$	−35967.9	+	101490.i	−0.105823	+	0.298597i
$584$	−400855.			−1.17533
$585$	83249.6	+	27049.4i	0.243260	+	0.0790399i
$586$	−205332.	+	149182.i	−0.597945	+	0.434433i
$587$	−362051.	−	263045.i	−1.05073	−	0.763404i	−0.0783829	−	0.996923i	$-0.524976\pi$
$587$	−362051.	−	263045.i	−1.05073	−	0.763404i	−0.972352	+	0.233520i	$0.924976\pi$
$588$	1575.25	+	4848.13i	0.00455613	+	0.0140223i
$589$	−522583.	+	169797.i	−1.50635	+	0.489441i
$590$	−75163.2	+	103453.i	−0.215924	+	0.297194i
$591$	−38588.1	−	53111.9i	−0.110479	−	0.152061i
$592$	62773.0	−	193196.i	0.179114	−	0.551256i
$593$		−	505323.i		−	1.43701i	−0.695522	−	0.718505i	$-0.744827\pi$
$593$		−	505323.i		−	1.43701i	0.695522	−	0.718505i	$-0.255173\pi$
$594$	3969.87	−	150174.i	0.0112513	−	0.425620i
$595$	−6968.43			−0.0196834
$596$	17419.2	+	5659.85i	0.0490384	+	0.0159335i
$597$	−31178.6	+	22652.6i	−0.0874799	+	0.0635578i
$598$	−117883.	−	85647.2i	−0.329647	−	0.239503i
$599$	137321.	+	422632.i	0.382723	+	1.17790i	0.938119	+	0.346314i	$0.112567\pi$
$599$	137321.	+	422632.i	0.382723	+	1.17790i	−0.555396	+	0.831586i	$0.687433\pi$
$600$	75544.4	−	24545.9i	0.209846	−	0.0681829i
$601$	239758.	−	329999.i	0.663780	−	0.913615i	−0.335819	−	0.941927i	$-0.609013\pi$
$601$	239758.	−	329999.i	0.663780	−	0.913615i	0.999599	+	0.0283113i	$0.00901296\pi$
$602$	−8352.47	−	11496.2i	−0.0230474	−	0.0317220i
$603$	−147229.	+	453125.i	−0.404911	+	1.24619i
$604$			27068.6i			0.0741979i
$605$	−21628.9	−	80881.3i	−0.0590914	−	0.220972i
$606$	34878.7			0.0949764
$607$	−295657.	−	96064.8i	−0.802437	−	0.260728i	−0.121046	−	0.992647i	$-0.538625\pi$
$607$	−295657.	−	96064.8i	−0.802437	−	0.260728i	−0.681391	+	0.731919i	$0.738625\pi$
$608$	43856.2	−	31863.4i	0.118638	−	0.0861956i
$609$	9605.41	+	6978.74i	0.0258989	+	0.0188167i
$610$	26700.4	+	82175.3i	0.0717559	+	0.220842i
$611$	300458.	−	97624.6i	0.804824	−	0.261503i
$612$	−13462.7	+	18529.9i	−0.0359444	+	0.0494732i
$613$	14556.6	+	20035.5i	0.0387382	+	0.0533186i	0.827947	−	0.560807i	$-0.189509\pi$
$613$	14556.6	+	20035.5i	0.0387382	+	0.0533186i	−0.789209	+	0.614125i	$0.789509\pi$
$614$	−144422.	+	444486.i	−0.383087	+	1.17902i
$615$			4330.46i			0.0114494i
$616$	34300.6	+	906.740i	0.0903941	+	0.00238958i
$617$	697011.			1.83092			0.915460	−	0.402408i	$-0.131827\pi$
$617$	697011.			1.83092			0.915460	+	0.402408i	$0.131827\pi$
$618$	−113191.	−	36778.0i	−0.296371	−	0.0962966i
$619$	74677.2	−	54256.1i	0.194898	−	0.141601i	−0.486057	−	0.873927i	$-0.661565\pi$
$619$	74677.2	−	54256.1i	0.194898	−	0.141601i	0.680954	+	0.732326i	$0.261565\pi$
$620$	6629.65	+	4816.72i	0.0172467	+	0.0125305i
$621$	18778.6	+	57794.5i	0.0486944	+	0.149866i
$622$	419232.	−	136217.i	1.08361	−	0.352087i
$623$	4063.46	−	5592.87i	0.0104693	−	0.0144098i
$624$	56687.8	+	78024.1i	0.145586	+	0.200382i
$625$	102093.	−	314211.i	0.261359	−	0.804381i
$626$		−	285121.i		−	0.727580i
$627$	93566.6	+	33159.9i	0.238005	+	0.0843487i
$628$	37446.3			0.0949488
$629$	−229911.	−	74702.5i	−0.581109	−	0.188814i
$630$	−5913.47	+	4296.39i	−0.0148991	+	0.0108249i
$631$	275611.	+	200243.i	0.692210	+	0.502920i	0.877386	−	0.479785i	$-0.159286\pi$
$631$	275611.	+	200243.i	0.692210	+	0.502920i	−0.185176	+	0.982705i	$0.559286\pi$
$632$	98560.1	+	303337.i	0.246756	+	0.759436i
$633$	89897.6	−	29209.5i	0.224357	−	0.0728982i
$634$	340758.	−	469013.i	0.847749	−	1.16683i
$635$	65398.8	+	90013.7i	0.162189	+	0.223234i
$636$	−588.366	+	1810.80i	−0.00145456	+	0.00447669i
$637$			474483.i			1.16934i
$638$	−523255.	+	359432.i	−1.28550	+	0.883029i
$639$	−410680.			−1.00578
$640$	79323.4	+	25773.7i	0.193661	+	0.0629241i
$641$	−90020.7	+	65403.8i	−0.219092	+	0.159180i	−0.691918	−	0.721976i	$-0.743234\pi$
$641$	−90020.7	+	65403.8i	−0.219092	+	0.159180i	0.472826	+	0.881156i	$0.343234\pi$
$642$	−77815.5	−	56536.3i	−0.188797	−	0.137169i
$643$	−19816.2	−	60988.0i	−0.0479290	−	0.147510i	0.924228	−	0.381841i	$-0.124710\pi$
$643$	−19816.2	−	60988.0i	−0.0479290	−	0.147510i	−0.972157	+	0.234331i	$0.924710\pi$
$644$	−814.269	+	264.572i	−0.00196334	+	0.000637929i
$645$	−5842.29	+	8041.23i	−0.0140431	+	0.0193287i
$646$	259661.	+	357393.i	0.622217	+	0.856408i
$647$	178305.	−	548767.i	0.425947	−	1.31093i	−0.476137	−	0.879371i	$-0.657963\pi$
$647$	178305.	−	548767.i	0.425947	−	1.31093i	0.902084	−	0.431560i	$-0.142037\pi$
$648$			367387.i			0.874932i
$649$	−555118.	−	426177.i	−1.31794	−	1.01181i
$650$	456061.			1.07943
$651$	−11337.3	−	3683.71i	−0.0267514	−	0.00869207i
$652$	−2761.44	+	2006.30i	−0.00649591	+	0.00471955i
$653$	−266908.	−	193920.i	−0.625943	−	0.454774i	0.229050	−	0.973415i	$-0.426438\pi$
$653$	−266908.	−	193920.i	−0.625943	−	0.454774i	−0.854992	+	0.518641i	$0.826438\pi$
$654$	5242.37	+	16134.4i	0.0122567	+	0.0377221i
$655$	−58010.3	+	18848.7i	−0.135214	+	0.0439337i
$656$	52093.3	−	71700.2i	0.121053	−	0.166615i
$657$	274696.	+	378087.i	0.636388	+	0.875913i
$658$	−8152.08	+	25089.5i	−0.0188285	+	0.0579483i
$659$		−	148224.i		−	0.341310i	−0.985331	−	0.170655i	$-0.945412\pi$
$659$		−	148224.i		−	0.341310i	0.985331	−	0.170655i	$-0.0545883\pi$
$660$	−420.120	−	1419.60i	−0.000964463	−	0.00325895i
$661$	−275401.			−0.630321			−0.315161	−	0.949038i	$-0.602058\pi$
$661$	−275401.			−0.630321			−0.315161	+	0.949038i	$0.602058\pi$
$662$	−290467.	−	94378.5i	−0.662798	−	0.215356i
$663$	92851.9	−	67460.9i	0.211234	−	0.153470i
$664$	135796.	+	98661.9i	0.308001	+	0.223776i
$665$	−3065.48	−	9434.59i	−0.00693195	−	0.0213344i
$666$	−241162.	+	78358.3i	−0.543701	+	0.176659i
$667$	150938.	−	207748.i	0.339271	−	0.466966i
$668$	6375.12	+	8774.60i	0.0142868	+	0.0196641i
$669$	−9291.55	+	28596.5i	−0.0207604	+	0.0638940i
$670$		−	137047.i		−	0.305295i
$671$	−453440.	+	134192.i	−1.00710	+	0.298045i
$672$	1176.06			0.00260429
$673$	−139591.	−	45355.8i	−0.308196	−	0.100139i	0.150836	−	0.988559i	$-0.451803\pi$
$673$	−139591.	−	45355.8i	−0.308196	−	0.100139i	−0.459031	+	0.888420i	$0.651803\pi$
$674$	−288000.	+	209244.i	−0.633976	+	0.460610i
$675$	−153874.	−	111796.i	−0.337722	−	0.245369i
$676$	−3608.22	−	11104.9i	−0.00789585	−	0.0243009i
$677$	613923.	−	199476.i	1.33948	−	0.435224i	0.450340	−	0.892857i	$-0.351303\pi$
$677$	613923.	−	199476.i	1.33948	−	0.435224i	0.889141	+	0.457634i	$0.151303\pi$
$678$	−48072.5	+	66166.1i	−0.104577	+	0.143938i
$679$	38178.0	+	52547.6i	0.0828084	+	0.113976i
$680$	33005.0	−	101579.i	0.0713776	−	0.219678i
$681$			96227.4i			0.207493i
$682$	388131.	−	505561.i	0.834467	−	1.08694i
$683$	−298959.			−0.640871			−0.320435	−	0.947270i	$-0.603829\pi$
$683$	−298959.			−0.640871			−0.320435	+	0.947270i	$0.603829\pi$
$684$	−31010.1	−	10075.8i	−0.0662813	−	0.0215361i
$685$	−85754.8	+	62304.5i	−0.182758	+	0.132782i
$686$	−64357.6	−	46758.5i	−0.136758	−	0.0993603i
$687$	−7610.99	−	23424.2i	−0.0161260	−	0.0496309i
$688$	193464.	−	62860.3i	0.408718	−	0.132800i
$689$	−104168.	+	143375.i	−0.219431	+	0.302020i
$690$	−5002.54	−	6885.41i	−0.0105073	−	0.0144621i
$691$	−58239.2	+	179242.i	−0.121972	+	0.375391i	−0.993337	−	0.115244i	$-0.963235\pi$
$691$	−58239.2	+	179242.i	−0.121972	+	0.375391i	0.871365	+	0.490635i	$0.163235\pi$
$692$		−	51835.4i		−	0.108247i
$693$	−22650.1	−	32973.7i	−0.0471633	−	0.0686597i
$694$	27491.6			0.0570797
$695$	−36094.2	−	11727.7i	−0.0747253	−	0.0242797i
$696$	−147224.	+	106964.i	−0.303920	+	0.220811i
$697$	−85326.2	−	61993.1i	−0.175637	−	0.127608i
$698$	118851.	+	365786.i	0.243945	+	0.750786i
$699$	−115309.	+	37466.0i	−0.235997	+	0.0766802i
$700$	1575.10	−	2167.94i	0.00321450	−	0.00442437i
$701$	71959.7	+	99044.0i	0.146438	+	0.201554i	0.875935	−	0.482430i	$-0.160246\pi$
$701$	71959.7	+	99044.0i	0.146438	+	0.201554i	−0.729497	+	0.683984i	$0.760246\pi$
$702$	76406.7	−	235155.i	0.155045	−	0.477179i
$703$		−	344139.i		−	0.696344i
$704$	−174962.	+	493687.i	−0.353019	+	0.996107i
$705$	18452.5			0.0371259
$706$	−311352.	−	101165.i	−0.624659	−	0.202964i
$707$	15432.5	−	11212.4i	0.0308744	−	0.0224316i
$708$	−10011.7	−	7273.96i	−0.0199730	−	0.0145112i
$709$	56691.8	+	174479.i	0.112779	+	0.347098i	0.991477	−	0.130280i	$-0.0415875\pi$
$709$	56691.8	+	174479.i	0.112779	+	0.347098i	−0.878698	+	0.477377i	$0.841587\pi$
$710$	112349.	−	36504.3i	0.222870	−	0.0724148i
$711$	218567.	−	300832.i	0.432360	−	0.595093i
$712$	62281.4	+	85723.0i	0.122857	+	0.169097i
$713$	−79672.0	+	245205.i	−0.156721	+	0.482337i
$714$			9583.90i			0.0187995i
$715$	3641.49	−	137752.i	0.00712306	−	0.269454i
$716$	−19548.4			−0.0381316
$717$	27291.0	+	8867.38i	0.0530861	+	0.0172487i
$718$	569613.	−	413848.i	1.10492	−	0.802771i
$719$	511463.	+	371599.i	0.989364	+	0.718815i	0.959782	−	0.280747i	$-0.0905822\pi$
$719$	511463.	+	371599.i	0.989364	+	0.718815i	0.0295825	+	0.999562i	$0.490582\pi$
$720$	−32334.4	−	99515.1i	−0.0623735	−	0.191966i
$721$	−61905.8	+	20114.4i	−0.119086	+	0.0386934i
$722$	−73487.9	+	101147.i	−0.140975	+	0.194035i
$723$	36817.1	+	50674.4i	0.0704325	+	0.0969420i
$724$	10621.2	−	32688.8i	0.0202627	−	0.0623622i
$725$			803726.i			1.52909i
$726$	−111239.	+	29746.9i	−0.211049	+	0.0564377i
$727$	358284.			0.677889			0.338945	−	0.940806i	$-0.389930\pi$
$727$	358284.			0.677889			0.338945	+	0.940806i	$0.389930\pi$
$728$	53710.8	+	17451.7i	0.101344	+	0.0329287i
$729$	303715.	−	220662.i	0.571494	−	0.415214i
$730$	−108755.	−	79015.2i	−0.204081	−	0.148274i
$731$	−74806.3	−	230230.i	−0.139992	−	0.430851i
$732$	−7952.56	+	2583.94i	−0.0148417	+	0.00482238i
$733$	−158935.	+	218755.i	−0.295809	+	0.407147i	−0.930890	−	0.365299i	$-0.880967\pi$
$733$	−158935.	+	218755.i	−0.295809	+	0.407147i	0.635081	+	0.772446i	$0.280967\pi$
$734$	−328509.	−	452154.i	−0.609755	−	0.839256i
$735$	−8564.07	+	26357.5i	−0.0158528	+	0.0487899i
$736$		−	25436.0i		−	0.0469562i
$737$	749778.	+	19820.5i	1.38038	+	0.0364905i
$738$	−110631.			−0.203124
$739$	395453.	+	128491.i	0.724113	+	0.235278i	0.647805	−	0.761806i	$-0.275687\pi$
$739$	395453.	+	128491.i	0.724113	+	0.235278i	0.0763074	+	0.997084i	$0.475687\pi$
$740$	−4152.18	+	3016.74i	−0.00758251	+	0.00550901i
$741$	132182.	+	96035.9i	0.240733	+	0.174903i
$742$	−4573.07	−	14074.5i	−0.00830616	−	0.0255637i
$743$	220573.	−	71668.6i	0.399554	−	0.129823i	−0.102345	−	0.994749i	$-0.532635\pi$
$743$	220573.	−	71668.6i	0.399554	−	0.129823i	0.501899	+	0.864926i	$0.332635\pi$
$744$	107395.	−	147816.i	0.194016	−	0.267040i
$745$	58528.9	+	80558.2i	0.105453	+	0.145143i
$746$	127823.	−	393398.i	0.229684	−	0.706895i
$747$		−	195694.i		−	0.350701i
$748$	33985.7	+	12044.5i	0.0607425	+	0.0215271i
$749$	−52605.1			−0.0937701
$750$	52067.1	+	16917.6i	0.0925637	+	0.0300758i
$751$	−533061.	+	387292.i	−0.945143	+	0.686686i	−0.949653	−	0.313304i	$-0.898564\pi$
$751$	−533061.	+	387292.i	−0.945143	+	0.686686i	0.00451049	+	0.999990i	$0.498564\pi$
$752$	−305521.	−	221974.i	−0.540264	−	0.392525i
$753$	−70728.7	−	217680.i	−0.124740	−	0.383910i
$754$	−993697.	+	322872.i	−1.74788	+	0.567920i
$755$	−86499.5	+	119056.i	−0.151747	+	0.208862i
$756$	−853.955	−	1175.37i	−0.00149414	−	0.00205651i
$757$	−239422.	+	736865.i	−0.417803	+	1.28587i	0.491916	+	0.870643i	$0.336297\pi$
$757$	−239422.	+	736865.i	−0.417803	+	1.28587i	−0.909719	+	0.415224i	$0.863703\pi$
$758$		−	474757.i		−	0.826291i
$759$	38393.3	−	26372.9i	0.0666457	−	0.0457799i
$760$	152047.			0.263240
$761$	377991.	+	122817.i	0.652698	+	0.212074i	0.616603	−	0.787274i	$-0.288508\pi$
$761$	377991.	+	122817.i	0.652698	+	0.212074i	0.0360944	+	0.999348i	$0.488508\pi$
$762$	123799.	−	89945.0i	0.213209	−	0.154906i
$763$	7506.24	+	5453.60i	0.0128936	+	0.00936773i
$764$	2412.88	+	7426.09i	0.00413380	+	0.0127225i
$765$	−118427.	+	38479.3i	−0.202362	+	0.0657513i
$766$	−424814.	+	584706.i	−0.724004	+	0.996506i
$767$	−677053.	−	931883.i	−1.15088	−	1.58406i
$768$	−8088.67	+	24894.4i	−0.0137137	+	0.0422064i
$769$		−	467800.i		−	0.791056i	−0.918454	−	0.395528i	$-0.870562\pi$
$769$		−	467800.i		−	0.791056i	0.918454	−	0.395528i	$-0.129438\pi$
$770$	9127.28	+	7007.22i	0.0153943	+	0.0118186i
$771$	70703.2			0.118941
$772$	−17678.8	−	5744.21i	−0.0296633	−	0.00963819i
$773$	−815285.	+	592339.i	−1.36443	+	0.991314i	−0.366278	+	0.930506i	$0.619368\pi$
$773$	−815285.	+	592339.i	−1.36443	+	0.991314i	−0.998149	+	0.0608086i	$0.980632\pi$
$774$	−205430.	−	149253.i	−0.342911	−	0.249139i
$775$	−249364.	−	767465.i	−0.415175	−	1.27778i
$776$	−946812.	+	307638.i	−1.57232	+	0.510877i
$777$	4388.41	−	6040.12i	0.00726884	−	0.0100047i
$778$	−169728.	−	233610.i	−0.280410	−	0.385951i
$779$	46396.9	−	142795.i	0.0764564	−	0.235309i
$780$		−	2436.68i		−	0.00400507i
$781$	183465.	+	619935.i	0.300782	+	1.01635i
$782$	207283.			0.338961
$783$	414419.	+	134653.i	0.675953	+	0.219630i
$784$	458865.	−	333385.i	0.746539	−	0.542392i
$785$	164701.	+	119662.i	0.267274	+	0.194186i
$786$	25923.2	+	79783.3i	0.0419607	+	0.129142i
$787$	464002.	−	150763.i	0.749153	−	0.243415i	0.0905365	−	0.995893i	$-0.471142\pi$
$787$	464002.	−	150763.i	0.749153	−	0.243415i	0.658617	+	0.752478i	$0.271142\pi$
$788$	19953.1	−	27463.1i	0.0321335	−	0.0442279i
$789$	−93977.8	−	129349.i	−0.150963	−	0.207783i
$790$	−33052.6	+	101726.i	−0.0529605	+	0.162996i
$791$			44729.8i			0.0714898i
$792$	587938.	−	173996.i	0.937306	−	0.277389i
$793$	−778310.			−1.23767
$794$	901942.	+	293059.i	1.43066	+	0.464851i
$795$	−8374.37	+	6084.34i	−0.0132501	+	0.00962673i
$796$	−16121.8	−	11713.2i	−0.0254441	−	0.0184862i
$797$	−40264.9	−	123923.i	−0.0633884	−	0.195089i	0.914347	−	0.404932i	$-0.132705\pi$
$797$	−40264.9	−	123923.i	−0.0633884	−	0.195089i	−0.977735	+	0.209843i	$0.932705\pi$
$798$	−12975.7	+	4216.06i	−0.0203763	+	0.00662065i
$799$	−264158.	+	363583.i	−0.413781	+	0.569521i
$800$	46794.6	+	64407.3i	0.0731166	+	0.100636i
$801$	38174.1	−	117488.i	0.0594982	−	0.183117i
$802$			1.01604e6i			1.57965i
$803$	448018.	−	583567.i	0.694807	−	0.905023i
$804$	13262.8			0.0205174
$805$	−4426.88	−	1438.38i	−0.00683134	−	0.00221964i
$806$	848692.	−	616611.i	1.30641	−	0.949163i
$807$	52661.8	+	38261.0i	0.0808627	+	0.0587502i
$808$	90349.3	+	278067.i	0.138389	+	0.425918i
$809$	561871.	−	182563.i	0.858498	−	0.278943i	0.153497	−	0.988149i	$-0.450947\pi$
$809$	561871.	−	182563.i	0.858498	−	0.278943i	0.705001	+	0.709206i	$0.250947\pi$
$810$	−72418.2	+	99675.1i	−0.110377	+	0.151921i
$811$	147448.	+	202945.i	0.224180	+	0.308558i	0.906261	−	0.422720i	$-0.138924\pi$
$811$	147448.	+	202945.i	0.224180	+	0.308558i	−0.682080	+	0.731277i	$0.738924\pi$
$812$	−1897.13	+	5838.77i	−0.00287730	+	0.00885542i
$813$		−	154897.i		−	0.234348i
$814$	226020.	+	329036.i	0.341112	+	0.496587i
$815$	−18557.0			−0.0279378
$816$	−130481.	−	42395.8i	−0.195959	−	0.0636711i
$817$	278802.	−	202561.i	0.417687	−	0.303467i
$818$	966891.	+	702487.i	1.44501	+	1.04986i
$819$	−20346.3	−	62619.4i	−0.0303331	−	0.0933557i
$820$	−2129.60	+	691.947i	−0.00316716	+	0.00102907i
$821$	80188.7	−	110370.i	0.118967	−	0.163744i	−0.745380	−	0.666640i	$-0.767732\pi$
$821$	80188.7	−	110370.i	0.118967	−	0.163744i	0.864347	+	0.502896i	$0.167732\pi$
$822$	85689.4	+	117941.i	0.126819	+	0.174551i
$823$	−107933.	+	332183.i	−0.159351	+	0.490431i	−0.998576	−	0.0533534i	$-0.983009\pi$
$823$	−107933.	+	332183.i	−0.159351	+	0.490431i	0.839225	+	0.543784i	$0.183009\pi$
$824$		−	997671.i		−	1.46938i
$825$	−48698.6	+	137412.i	−0.0715499	+	0.201891i
$826$	96186.2			0.140978
$827$	−1.10535e6	−	359149.i	−1.61617	−	0.525126i	−0.645137	−	0.764067i	$-0.723200\pi$
$827$	−1.10535e6	−	359149.i	−1.61617	−	0.525126i	−0.971034	+	0.238941i	$0.923200\pi$
$828$	−12377.4	+	8992.70i	−0.0180538	+	0.0131168i
$829$	217448.	+	157985.i	0.316407	+	0.229883i	0.734641	−	0.678456i	$-0.237351\pi$
$829$	217448.	+	157985.i	0.316407	+	0.229883i	−0.418234	+	0.908339i	$0.637351\pi$
$830$	17394.7	+	53535.5i	0.0252500	+	0.0777116i
$831$	−253168.	+	82259.3i	−0.366612	+	0.119119i
$832$	−506715.	+	697434.i	−0.732010	+	1.00753i
$833$	−396741.	−	546068.i	−0.571765	−	0.786967i
$834$	−16129.5	+	49641.4i	−0.0231893	+	0.0713694i
$835$			58965.7i			0.0845720i
$836$	−1356.44	+	51311.9i	−0.00194083	+	0.0734185i
$837$	−437500.			−0.624492
$838$	178037.	+	57847.9i	0.253526	+	0.0823757i
$839$	−59621.4	+	43317.5i	−0.0846990	+	0.0615374i	−0.629329	−	0.777139i	$-0.716670\pi$
$839$	−59621.4	+	43317.5i	−0.0846990	+	0.0615374i	0.544630	+	0.838677i	$0.316670\pi$
$840$	2668.64	+	1938.88i	0.00378209	+	0.00274785i
$841$	−350442.	−	1.07855e6i	−0.495477	−	1.52492i
$842$	−403415.	+	131077.i	−0.569020	+	0.184886i
$843$	−11559.2	+	15909.8i	−0.0162656	+	0.0223877i
$844$	28728.8	+	39541.8i	0.0403304	+	0.0555100i
$845$	19616.5	−	60373.5i	0.0274732	−	0.0845537i
$846$			471407.i			0.658651i
$847$	−39656.3	+	48921.6i	−0.0552771	+	0.0681921i
$848$	211848.			0.294599
$849$	155465.	+	50513.8i	0.215684	+	0.0700800i
$850$	−524867.	+	381338.i	−0.726460	+	0.527804i
$851$	−130637.	−	94913.5i	−0.180388	−	0.131060i
$852$	3532.72	+	10872.6i	0.00486665	+	0.0149780i
$853$	124657.	−	40503.6i	0.171325	−	0.0556668i	−0.222099	−	0.975024i	$-0.571291\pi$
$853$	124657.	−	40503.6i	0.171325	−	0.0556668i	0.393423	+	0.919357i	$0.371291\pi$
$854$	38201.5	−	52579.9i	0.0523799	−	0.0720948i
$855$	−104195.	−	143411.i	−0.142532	−	0.196179i
$856$	249157.	−	766826.i	0.340036	−	1.04652i
$857$			685022.i			0.932702i	0.884600	+	0.466351i	$0.154432\pi$
$857$			685022.i			0.932702i	−0.884600	+	0.466351i	$0.845568\pi$
$858$	−189454.	−	5008.25i	−0.257353	−	0.00680317i
$859$	−603707.			−0.818164			−0.409082	−	0.912498i	$-0.634151\pi$
$859$	−603707.			−0.818164			−0.409082	+	0.912498i	$0.634151\pi$
$860$	−4887.96	−	1588.20i	−0.00660893	−	0.00214737i
$861$	2635.23	−	1914.61i	0.00355477	−	0.00258269i
$862$	−979990.	−	712005.i	−1.31889	−	0.958227i
$863$	−40130.6	−	123509.i	−0.0538832	−	0.165836i	0.920493	−	0.390758i	$-0.127787\pi$
$863$	−40130.6	−	123509.i	−0.0538832	−	0.165836i	−0.974377	+	0.224923i	$0.927787\pi$
$864$	41049.6	−	13337.8i	0.0549898	−	0.0178673i
$865$	165644.	−	227989.i	0.221382	−	0.304706i
$866$	60549.8	+	83339.7i	0.0807378	+	0.111126i
$867$	2048.30	−	6304.01i	0.00272493	−	0.00838646i
$868$		−	6163.96i		−	0.00818126i
$869$	−551757.	−	195542.i	−0.730648	−	0.258941i
$870$	−61027.5			−0.0806282
$871$	1.17407e6	+	381478.i	1.54759	+	0.502844i
$872$	−115049.	+	83588.4i	−0.151304	+	0.109929i
$873$	938993.	+	682218.i	1.23207	+	0.895148i
$874$	91185.8	+	280641.i	0.119373	+	0.367391i
$875$	28476.2	−	9252.49i	0.0371934	−	0.0120849i
$876$	7646.73	−	10524.8i	0.00996478	−	0.0137153i
$877$	120617.	+	166015.i	0.156823	+	0.215848i	0.880197	−	0.474608i	$-0.157410\pi$
$877$	120617.	+	166015.i	0.156823	+	0.215848i	−0.723375	+	0.690456i	$0.757410\pi$
$878$	228813.	−	704213.i	0.296819	−	0.913514i
$879$		−	133535.i		−	0.172829i
$880$	−135776.	+	93266.6i	−0.175331	+	0.120437i
$881$	506687.			0.652811			0.326406	−	0.945230i	$-0.394162\pi$
$881$	506687.			0.652811			0.326406	+	0.945230i	$0.394162\pi$
$882$	−673357.	−	218787.i	−0.865582	−	0.281245i
$883$	545222.	−	396127.i	0.699282	−	0.508058i	−0.180416	−	0.983590i	$-0.557745\pi$
$883$	545222.	−	396127.i	0.699282	−	0.508058i	0.879698	+	0.475532i	$0.157745\pi$
$884$	48011.8	+	34882.6i	0.0614389	+	0.0446379i
$885$	−20790.5	−	63986.4i	−0.0265447	−	0.0816961i
$886$	300817.	−	97741.3i	0.383208	−	0.124512i
$887$	−672807.	+	926039.i	−0.855152	+	1.17702i	0.127552	+	0.991832i	$0.459288\pi$
$887$	−672807.	+	926039.i	−0.855152	+	1.17702i	−0.982704	+	0.185184i	$0.940712\pi$
$888$	67261.9	+	92578.1i	0.0852989	+	0.117404i
$889$	25861.9	−	79594.7i	0.0327232	−	0.100712i
$890$			35534.0i			0.0448605i
$891$	−534845.	−	410613.i	−0.673710	−	0.517222i
$892$	−15547.6			−0.0195404
$893$	−608463.	−	197701.i	−0.763011	−	0.247917i
$894$	110794.	−	80496.7i	0.138625	−	0.100717i
$895$	−85980.3	−	62468.3i	−0.107338	−	0.0779855i
$896$	−19386.7	−	59666.1i	−0.0241484	−	0.0743210i
$897$	72911.5	−	23690.4i	0.0906173	−	0.0294434i
$898$	316498.	−	435623.i	0.392481	−	0.540204i
$899$	1.08667e6	+	1.49567e6i	1.34455	+	1.85061i
$900$	14797.3	−	45541.4i	0.0182683	−	0.0562240i
$901$		−	252107.i		−	0.310553i
$902$	49422.5	+	167000.i	0.0607451	+	0.205260i
$903$	7476.38			0.00916887
$904$	−652027.	−	211857.i	−0.797864	−	0.259242i
$905$	151175.	−	109835.i	0.184579	−	0.134105i
$906$	163742.	+	118966.i	0.199482	+	0.144932i
$907$	301408.	+	927639.i	0.366387	+	1.12762i	0.949108	+	0.314951i	$0.101988\pi$
$907$	301408.	+	927639.i	0.366387	+	1.12762i	−0.582721	+	0.812673i	$0.698012\pi$
$908$	−47321.9	+	15375.8i	−0.0573971	+	0.0186495i
$909$	200359.	−	275770.i	0.242483	−	0.333749i
$910$	11132.1	+	15322.1i	0.0134430	+	0.0185027i
$911$	46581.2	−	143362.i	0.0561273	−	0.172742i	−0.919063	−	0.394111i	$-0.871053\pi$
$911$	46581.2	−	143362.i	0.0561273	−	0.172742i	0.975190	+	0.221369i	$0.0710525\pi$
$912$		−	195309.i		−	0.234818i
$913$	−295406.	+	87423.4i	−0.354388	+	0.104878i
$914$	−627728.			−0.751413
$915$	−43235.1	−	14047.9i	−0.0516410	−	0.0167792i
$916$	10303.2	−	7485.74i	0.0122796	−	0.00892162i
$917$	37117.8	+	26967.7i	0.0441412	+	0.0320705i
$918$	108693.	+	334521.i	0.128978	+	0.396952i
$919$	1.53858e6	−	499916.i	1.82176	−	0.591924i	0.822008	−	0.569476i	$-0.192854\pi$
$919$	1.53858e6	−	499916.i	1.82176	−	0.591924i	0.999748	−	0.0224486i	$-0.00714620\pi$
$920$	41934.6	−	57718.0i	0.0495447	−	0.0681924i
$921$	−144533.	−	198932.i	−0.170391	−	0.234523i
$922$	134836.	−	414981.i	0.158614	−	0.488165i
$923$			1.06409e6i			1.24904i
$924$	−678.128	+	883.298i	−0.000794269	+	0.00103458i
$925$	505403.			0.590683
$926$	322269.	+	104712.i	0.375835	+	0.122116i
$927$	−941006.	+	683681.i	−1.09505	+	0.795598i
$928$	−147557.	−	107206.i	−0.171342	−	0.124487i
$929$	82655.6	+	254388.i	0.0957725	+	0.294757i	0.987454	−	0.157905i	$-0.0504741\pi$
$929$	82655.6	+	254388.i	0.0957725	+	0.294757i	−0.891682	+	0.452663i	$0.850474\pi$
$930$	58274.2	−	18934.4i	0.0673768	−	0.0218921i
$931$	564793.	−	777371.i	0.651613	−	0.896869i
$932$	−36849.4	−	50718.9i	−0.0424228	−	0.0583899i
$933$	−71668.1	+	220572.i	−0.0823308	+	0.253388i
$934$		−	993312.i		−	1.13865i
$935$	110991.	+	161579.i	0.126959	+	0.184826i
$936$	1.00917e6			1.15190
$937$	−1.10220e6	−	358125.i	−1.25539	−	0.407902i	−0.395542	−	0.918448i	$-0.629443\pi$
$937$	−1.10220e6	−	358125.i	−1.25539	−	0.407902i	−0.859850	+	0.510546i	$0.829443\pi$
$938$	−83397.6	+	60591.9i	−0.0947868	+	0.0688666i
$939$	121362.	+	88174.6i	0.137642	+	0.100003i
$940$	2948.45	+	9074.40i	0.00333686	+	0.0102698i
$941$	−576099.	+	187186.i	−0.650605	+	0.211395i	−0.615681	−	0.787995i	$-0.711119\pi$
$941$	−576099.	+	187186.i	−0.650605	+	0.211395i	−0.0349244	+	0.999390i	$0.511119\pi$
$942$	164575.	−	226519.i	0.185465	−	0.255271i
$943$	−41409.5	−	56995.3i	−0.0465668	−	0.0640937i
$944$	−425494.	+	1.30953e6i	−0.477473	+	1.46951i
$945$		−	7898.52i		−	0.00884468i
$946$	−133530.	+	376779.i	−0.149210	+	0.421022i
$947$	−359430.			−0.400788			−0.200394	−	0.979715i	$-0.564222\pi$
$947$	−359430.			−0.400788			−0.200394	+	0.979715i	$0.564222\pi$
$948$	−9844.55	−	3198.69i	−0.0109542	−	0.00355922i
$949$	979641.	−	711751.i	1.08776	−	0.790307i
$950$	−747190.	−	542865.i	−0.827912	−	0.601513i
$951$	94255.1	+	290087.i	0.104218	+	0.320751i
$952$	−76406.5	+	24826.0i	−0.0843056	+	0.0273925i
$953$	651891.	−	897251.i	0.717777	−	0.987935i	−0.281818	−	0.959468i	$-0.590938\pi$
$953$	651891.	−	897251.i	0.717777	−	0.987935i	0.999595	−	0.0284668i	$-0.00906249\pi$
$954$	−155437.	−	213941.i	−0.170788	−	0.235070i
$955$	−13118.0	+	40372.9i	−0.0143833	+	0.0442673i
$956$			14837.8i			0.0162351i
$957$	8826.14	−	333879.i	0.00963711	−	0.364557i
$958$	−7463.70			−0.00813248
$959$	75828.7	+	24638.3i	0.0824511	+	0.0267900i
$960$	−40736.2	+	29596.6i	−0.0442016	+	0.0321144i
$961$	−754542.	−	548207.i	−0.817027	−	0.593605i
$962$	203030.	+	624862.i	0.219387	+	0.675203i
$963$	−894013.	+	290482.i	−0.964032	+	0.313233i
$964$	−19037.3	+	26202.7i	−0.0204858	+	0.0281963i
$965$	−59401.3	−	81758.9i	−0.0637883	−	0.0877971i
$966$	−1978.25	+	6088.43i	−0.00211996	+	0.00652455i
$967$		−	355560.i		−	0.380242i	−0.981761	−	0.190121i	$-0.939112\pi$
$967$		−	355560.i		−	0.380242i	0.981761	−	0.190121i	$-0.0608881\pi$
$968$	−525305.	−	809781.i	−0.560610	−	0.864205i
$969$	−232425.			−0.247535
$970$	−317518.	−	103168.i	−0.337462	−	0.109648i
$971$	−1.13033e6	+	821235.i	−1.19886	+	0.871021i	−0.994172	−	0.107806i	$-0.965617\pi$
$971$	−1.13033e6	+	821235.i	−1.19886	+	0.871021i	−0.204686	+	0.978828i	$0.565617\pi$
$972$	−31779.9	−	23089.5i	−0.0336372	−	0.0244389i
$973$	8821.44	+	27149.6i	0.00931781	+	0.0286773i
$974$	183001.	−	59460.7i	0.192902	−	0.0626775i
$975$	−141038.	+	194123.i	−0.148364	+	0.204205i
$976$	546863.	+	752692.i	0.574088	+	0.790165i
$977$	−206153.	+	634473.i	−0.215973	+	0.664697i	0.783110	+	0.621884i	$0.213632\pi$
$977$	−206153.	+	634473.i	−0.215973	+	0.664697i	−0.999083	+	0.0428140i	$0.986368\pi$
$978$			25522.0i			0.0266831i
$979$	−194405.	−	5139.13i	−0.202835	−	0.00536197i
$980$	−14330.3			−0.0149212
$981$	157681.	+	51233.8i	0.163849	+	0.0532376i
$982$	−816639.	+	593323.i	−0.846851	+	0.615273i
$983$	−991387.	−	720285.i	−1.02597	−	0.745413i	−0.0584744	−	0.998289i	$-0.518624\pi$
$983$	−991387.	−	720285.i	−1.02597	−	0.745413i	−0.967499	+	0.252876i	$0.918624\pi$
$984$	15427.8	+	47482.0i	0.0159336	+	0.0490387i
$985$	175520.	−	57030.0i	0.180907	−	0.0587802i
$986$	873645.	−	1.20247e6i	0.898631	−	1.23686i
$987$	−8158.31	−	11228.9i	−0.00837463	−	0.0115267i
$988$	−26106.8	+	80348.6i	−0.0267449	+	0.0823122i
$989$		−	161701.i		−	0.165318i
$990$	193810.	+	68686.0i	0.197745	+	0.0700806i
$991$	884970.			0.901117			0.450558	−	0.892747i	$-0.351225\pi$
$991$	884970.			0.901117			0.450558	+	0.892747i	$0.351225\pi$
$992$	174162.	+	56588.6i	0.176982	+	0.0575050i
$993$	130000.	−	94450.6i	0.131839	−	0.0957869i
$994$	−71886.3	−	52228.4i	−0.0727567	−	0.0528609i
$995$	−33478.7	−	103037.i	−0.0338160	−	0.104075i
$996$	−5180.93	+	1683.39i	−0.00522263	+	0.00169693i
$997$	−138865.	+	191132.i	−0.139702	+	0.192284i	−0.873135	−	0.487478i	$-0.837917\pi$
$997$	−138865.	+	191132.i	−0.139702	+	0.192284i	0.733433	+	0.679762i	$0.237917\pi$
$998$	686071.	+	944296.i	0.688823	+	0.948084i
$999$	84673.2	−	260597.i	0.0848428	−	0.261119i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	11.5.d.a.2.3	✓	12
3.2	odd	2		99.5.k.a.46.1		12
4.3	odd	2		176.5.n.a.145.2		12
11.2	odd	10		121.5.d.c.118.3		12
11.3	even	5		121.5.d.c.40.3		12
11.4	even	5		121.5.b.b.120.9		12
11.5	even	5		121.5.d.d.94.1		12
11.6	odd	10	inner	11.5.d.a.6.3	yes	12
11.7	odd	10		121.5.b.b.120.4		12
11.8	odd	10		121.5.d.e.40.1		12
11.9	even	5		121.5.d.e.118.1		12
11.10	odd	2		121.5.d.d.112.1		12
33.17	even	10		99.5.k.a.28.1		12
44.39	even	10		176.5.n.a.17.2		12

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
11.5.d.a.2.3	✓	12	1.1	even	1	trivial
11.5.d.a.6.3	yes	12	11.6	odd	10	inner
99.5.k.a.28.1		12	33.17	even	10
99.5.k.a.46.1		12	3.2	odd	2
121.5.b.b.120.4		12	11.7	odd	10
121.5.b.b.120.9		12	11.4	even	5
121.5.d.c.40.3		12	11.3	even	5
121.5.d.c.118.3		12	11.2	odd	10
121.5.d.d.94.1		12	11.5	even	5
121.5.d.d.112.1		12	11.10	odd	2
121.5.d.e.40.1		12	11.8	odd	10
121.5.d.e.118.1		12	11.9	even	5
176.5.n.a.17.2		12	44.39	even	10
176.5.n.a.145.2		12	4.3	odd	2

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:	\( N \)	\(=\)	\( 11 \)
Weight:	\( k \)	\(=\)	\( 5 \)
Character orbit:	\([\chi]\)	\(=\)	11.d (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(3.67706 + 1.19475i) q^{2} +(-1.64569 + 1.19566i) q^{3} +(-0.850950 - 0.618251i) q^{4} +(-1.76709 - 5.43854i) q^{5} +(-7.47979 + 2.43033i) q^{6} +(-2.52826 + 3.47985i) q^{7} +(-38.7511 - 53.3363i) q^{8} +(-23.7517 + 73.1002i) q^{9} +O(q^{10})\)	\(q+(3.67706 + 1.19475i) q^{2} +(-1.64569 + 1.19566i) q^{3} +(-0.850950 - 0.618251i) q^{4} +(-1.76709 - 5.43854i) q^{5} +(-7.47979 + 2.43033i) q^{6} +(-2.52826 + 3.47985i) q^{7} +(-38.7511 - 53.3363i) q^{8} +(-23.7517 + 73.1002i) q^{9} -22.1090i q^{10} +(120.958 + 3.19753i) q^{11} +2.13961 q^{12} +(189.406 + 61.5418i) q^{13} +(-13.4541 + 9.77497i) q^{14} +(9.41072 + 6.83729i) q^{15} +(-73.5659 - 226.413i) q^{16} +(-269.440 + 87.5465i) q^{17} +(-174.673 + 240.416i) q^{18} +(-237.059 - 326.284i) q^{19} +(-1.85868 + 5.72043i) q^{20} -8.74968i q^{21} +(440.948 + 156.272i) q^{22} -189.240 q^{23} +(127.544 + 41.4416i) q^{24} +(479.181 - 348.145i) q^{25} +(622.930 + 452.585i) q^{26} +(-99.2315 - 305.403i) q^{27} +(4.30284 - 1.39808i) q^{28} +(-797.600 + 1097.80i) q^{29} +(26.4349 + 36.3845i) q^{30} +(421.011 - 1295.74i) q^{31} +134.411i q^{32} +(-202.882 + 139.362i) q^{33} -1095.34 q^{34} +(23.3929 + 7.60083i) q^{35} +(65.4058 - 47.5201i) q^{36} +(690.326 + 501.551i) q^{37} +(-481.853 - 1482.99i) q^{38} +(-385.286 + 125.187i) q^{39} +(-221.595 + 304.999i) q^{40} +(218.820 + 301.180i) q^{41} +(10.4537 - 32.1731i) q^{42} +854.475i q^{43} +(-100.952 - 77.5032i) q^{44} +439.530 q^{45} +(-695.846 - 226.094i) q^{46} +(1283.36 - 932.413i) q^{47} +(391.779 + 284.644i) q^{48} +(736.233 + 2265.89i) q^{49} +(2177.92 - 707.649i) q^{50} +(338.738 - 466.233i) q^{51} +(-123.127 - 169.469i) q^{52} +(-274.987 + 846.322i) q^{53} -1241.54i q^{54} +(-196.353 - 663.484i) q^{55} +283.575 q^{56} +(780.250 + 253.519i) q^{57} +(-4244.42 + 3083.75i) q^{58} +(-4679.23 - 3399.66i) q^{59} +(-3.78089 - 11.6364i) q^{60} +(-3716.82 + 1207.67i) q^{61} +(3096.16 - 4261.50i) q^{62} +(-194.327 - 267.468i) q^{63} +(-1337.64 + 4116.84i) q^{64} -1138.84i q^{65} +(-912.510 + 270.051i) q^{66} +6198.68 q^{67} +(283.406 + 92.0841i) q^{68} +(311.430 - 226.267i) q^{69} +(76.9361 + 55.8974i) q^{70} +(1651.10 + 5081.57i) q^{71} +(4819.30 - 1565.88i) q^{72} +(3573.88 - 4919.03i) q^{73} +(1939.14 + 2669.00i) q^{74} +(-372.317 + 1145.87i) q^{75} +424.213i q^{76} +(-316.939 + 412.830i) q^{77} -1566.29 q^{78} +(-4601.08 - 1494.98i) q^{79} +(-1101.36 + 800.182i) q^{80} +(-4508.34 - 3275.50i) q^{81} +(444.780 + 1368.89i) q^{82} +(-2421.43 + 786.770i) q^{83} +(-5.40950 + 7.44553i) q^{84} +(952.250 + 1310.66i) q^{85} +(-1020.88 + 3141.95i) q^{86} -2760.30i q^{87} +(-4516.70 - 6575.34i) q^{88} -1607.22 q^{89} +(1616.18 + 525.127i) q^{90} +(-693.023 + 503.511i) q^{91} +(161.034 + 116.998i) q^{92} +(856.411 + 2635.76i) q^{93} +(5832.97 - 1895.25i) q^{94} +(-1355.60 + 1865.83i) q^{95} +(-160.710 - 221.199i) q^{96} +(4666.32 - 14361.5i) q^{97} +9211.42i q^{98} +(-3106.69 + 8766.09i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 12 q - 5 q^{2} - 6 q^{3} + 7 q^{4} - 18 q^{5} + 75 q^{6} - 80 q^{7} - 245 q^{8} + q^{9}+O(q^{10}) \) 12 * q - 5 * q^2 - 6 * q^3 + 7 * q^4 - 18 * q^5 + 75 * q^6 - 80 * q^7 - 245 * q^8 + q^9	\( 12 q - 5 q^{2} - 6 q^{3} + 7 q^{4} - 18 q^{5} + 75 q^{6} - 80 q^{7} - 245 q^{8} + q^{9} - 43 q^{11} + 594 q^{12} + 250 q^{13} + 610 q^{14} + 1134 q^{15} - 633 q^{16} - 1250 q^{17} - 3150 q^{18} - 1025 q^{19} + 752 q^{20} - 35 q^{22} + 1684 q^{23} + 5345 q^{24} + 197 q^{25} + 3490 q^{26} - 687 q^{27} - 3580 q^{28} - 2690 q^{29} - 6740 q^{30} - 1136 q^{31} + 5939 q^{33} + 2370 q^{34} + 3610 q^{35} - 514 q^{36} - 336 q^{37} + 1900 q^{38} - 6880 q^{39} - 2340 q^{40} - 4550 q^{41} + 1310 q^{42} - 6268 q^{44} + 5136 q^{45} + 4150 q^{46} + 24 q^{47} + 344 q^{48} + 827 q^{49} + 8895 q^{50} + 13155 q^{51} + 14070 q^{52} + 414 q^{53} - 2738 q^{55} - 21340 q^{56} - 26925 q^{57} + 2980 q^{58} - 10011 q^{59} - 6856 q^{60} + 9460 q^{61} - 6200 q^{62} + 9150 q^{63} - 2633 q^{64} - 3210 q^{66} + 12154 q^{67} - 9400 q^{68} - 9022 q^{69} - 9380 q^{70} + 17574 q^{71} + 43045 q^{72} + 27950 q^{73} + 43270 q^{74} - 1761 q^{75} + 4090 q^{77} - 42920 q^{78} - 41540 q^{79} - 2308 q^{80} - 21080 q^{81} - 28175 q^{82} - 18665 q^{83} + 26250 q^{84} - 4230 q^{85} - 10125 q^{86} - 15125 q^{88} + 5554 q^{89} + 18400 q^{90} + 7390 q^{91} + 3904 q^{92} + 36898 q^{93} + 18920 q^{94} + 14110 q^{95} - 21140 q^{96} + 20769 q^{97} - 3269 q^{99}+O(q^{100}) \) 12 * q - 5 * q^2 - 6 * q^3 + 7 * q^4 - 18 * q^5 + 75 * q^6 - 80 * q^7 - 245 * q^8 + q^9 - 43 * q^11 + 594 * q^12 + 250 * q^13 + 610 * q^14 + 1134 * q^15 - 633 * q^16 - 1250 * q^17 - 3150 * q^18 - 1025 * q^19 + 752 * q^20 - 35 * q^22 + 1684 * q^23 + 5345 * q^24 + 197 * q^25 + 3490 * q^26 - 687 * q^27 - 3580 * q^28 - 2690 * q^29 - 6740 * q^30 - 1136 * q^31 + 5939 * q^33 + 2370 * q^34 + 3610 * q^35 - 514 * q^36 - 336 * q^37 + 1900 * q^38 - 6880 * q^39 - 2340 * q^40 - 4550 * q^41 + 1310 * q^42 - 6268 * q^44 + 5136 * q^45 + 4150 * q^46 + 24 * q^47 + 344 * q^48 + 827 * q^49 + 8895 * q^50 + 13155 * q^51 + 14070 * q^52 + 414 * q^53 - 2738 * q^55 - 21340 * q^56 - 26925 * q^57 + 2980 * q^58 - 10011 * q^59 - 6856 * q^60 + 9460 * q^61 - 6200 * q^62 + 9150 * q^63 - 2633 * q^64 - 3210 * q^66 + 12154 * q^67 - 9400 * q^68 - 9022 * q^69 - 9380 * q^70 + 17574 * q^71 + 43045 * q^72 + 27950 * q^73 + 43270 * q^74 - 1761 * q^75 + 4090 * q^77 - 42920 * q^78 - 41540 * q^79 - 2308 * q^80 - 21080 * q^81 - 28175 * q^82 - 18665 * q^83 + 26250 * q^84 - 4230 * q^85 - 10125 * q^86 - 15125 * q^88 + 5554 * q^89 + 18400 * q^90 + 7390 * q^91 + 3904 * q^92 + 36898 * q^93 + 18920 * q^94 + 14110 * q^95 - 21140 * q^96 + 20769 * q^97 - 3269 * q^99

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