LMFDB - Embedded newform 144.3.w.a.29.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [144,3,Mod(5,144)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(144, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([0, 3, 10]))

N = Newforms(chi, 3, names="a")

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

chi := DirichletCharacter("144.5");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 144 = 2^{4} \cdot 3^{2} $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	144.w (of order $12$, 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:	$3.92371580679$
Analytic rank:	$0$
Dimension:	$184$
Relative dimension:	$46$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			29.11
Character	$\chi$	$=$	144.29
Dual form			144.3.w.a.5.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.58134 - 1.22449i) q^{2} +(1.74774 - 2.43832i) q^{3} +(1.00126 + 3.87266i) q^{4} +(0.973349 - 3.63259i) q^{5} +(-5.74946 + 1.71573i) q^{6} +(11.7048 + 6.75777i) q^{7} +(3.15868 - 7.35002i) q^{8} +(-2.89081 - 8.52310i) q^{9} +O(q^{10})$	\(q+(-1.58134 - 1.22449i) q^{2} +(1.74774 - 2.43832i) q^{3} +(1.00126 + 3.87266i) q^{4} +(0.973349 - 3.63259i) q^{5} +(-5.74946 + 1.71573i) q^{6} +(11.7048 + 6.75777i) q^{7} +(3.15868 - 7.35002i) q^{8} +(-2.89081 - 8.52310i) q^{9} +(-5.98725 + 4.55250i) q^{10} +(4.44465 - 1.19094i) q^{11} +(11.1927 + 4.32699i) q^{12} +(1.01931 - 3.80413i) q^{13} +(-10.2345 - 25.0187i) q^{14} +(-7.15625 - 8.72215i) q^{15} +(-13.9949 + 7.75511i) q^{16} +20.6241i q^{17} +(-5.86507 + 17.0177i) q^{18} +(-19.5324 - 19.5324i) q^{19} +(15.0423 + 0.132265i) q^{20} +(36.9345 - 16.7292i) q^{21} +(-8.48678 - 3.55913i) q^{22} +(-14.7668 - 25.5769i) q^{23} +(-12.4011 - 20.5478i) q^{24} +(9.40236 + 5.42845i) q^{25} +(-6.26998 + 4.76748i) q^{26} +(-25.8344 - 7.84744i) q^{27} +(-14.4509 + 52.0950i) q^{28} +(-5.65607 - 21.1088i) q^{29} +(0.636294 + 22.5554i) q^{30} +(6.01256 + 10.4141i) q^{31} +(31.6268 + 4.87317i) q^{32} +(4.86420 - 12.9189i) q^{33} +(25.2540 - 32.6137i) q^{34} +(35.9410 - 35.9410i) q^{35} +(30.1126 - 19.7290i) q^{36} +(-20.6078 + 20.6078i) q^{37} +(6.97017 + 54.8045i) q^{38} +(-7.49419 - 9.13404i) q^{39} +(-23.6251 - 18.6283i) q^{40} +(21.7630 + 37.6946i) q^{41} +(-78.8907 - 18.7713i) q^{42} +(5.80291 + 21.6568i) q^{43} +(9.06237 + 16.0201i) q^{44} +(-33.7747 + 2.20517i) q^{45} +(-7.96720 + 58.5274i) q^{46} +(9.68895 + 5.59392i) q^{47} +(-5.55008 + 47.6781i) q^{48} +(66.8348 + 115.761i) q^{49} +(-8.22124 - 20.0973i) q^{50} +(50.2882 + 36.0456i) q^{51} +(15.7527 + 0.138511i) q^{52} +(4.73923 + 4.73923i) q^{53} +(31.2439 + 44.0434i) q^{54} -17.3048i q^{55} +(86.6414 - 64.6848i) q^{56} +(-81.7638 + 13.4887i) q^{57} +(-16.9032 + 40.3059i) q^{58} +(-27.0274 + 100.868i) q^{59} +(26.6126 - 36.4469i) q^{60} +(34.9763 - 9.37188i) q^{61} +(3.24399 - 23.8305i) q^{62} +(23.7608 - 119.297i) q^{63} +(-44.0455 - 46.4327i) q^{64} +(-12.8267 - 7.40548i) q^{65} +(-23.5110 + 14.4731i) q^{66} +(17.4252 - 65.0316i) q^{67} +(-79.8702 + 20.6502i) q^{68} +(-88.1731 - 8.69549i) q^{69} +(-100.844 + 12.8256i) q^{70} -109.504 q^{71} +(-71.7761 - 5.67422i) q^{72} -1.77397i q^{73} +(57.8219 - 7.35394i) q^{74} +(29.6692 - 13.4384i) q^{75} +(56.0852 - 95.1994i) q^{76} +(60.0718 + 16.0962i) q^{77} +(0.666342 + 23.6205i) q^{78} +(50.8136 - 88.0118i) q^{79} +(14.5491 + 58.3862i) q^{80} +(-64.2864 + 49.2773i) q^{81} +(11.7419 - 86.2563i) q^{82} +(7.55138 + 28.1822i) q^{83} +(101.768 + 126.284i) q^{84} +(74.9189 + 20.0745i) q^{85} +(17.3421 - 41.3523i) q^{86} +(-61.3552 - 23.1013i) q^{87} +(5.28578 - 36.4300i) q^{88} -16.6625 q^{89} +(56.1094 + 37.8695i) q^{90} +(37.6383 - 37.6383i) q^{91} +(84.2649 - 82.7960i) q^{92} +(35.9012 + 3.54052i) q^{93} +(-8.47184 - 20.7099i) q^{94} +(-89.9650 + 51.9413i) q^{95} +(67.1577 - 68.5992i) q^{96} +(-50.9724 + 88.2869i) q^{97} +(36.0597 - 264.896i) q^{98} +(-22.9991 - 34.4394i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 184 q - 6 q^{2} - 4 q^{3} - 2 q^{4} - 6 q^{5} - 10 q^{6}+O(q^{10}) $ 184 * q - 6 * q^2 - 4 * q^3 - 2 * q^4 - 6 * q^5 - 10 * q^6	$ 184 q - 6 q^{2} - 4 q^{3} - 2 q^{4} - 6 q^{5} - 10 q^{6} - 8 q^{10} - 6 q^{11} - 64 q^{12} - 2 q^{13} - 6 q^{14} - 8 q^{15} - 2 q^{16} + 54 q^{18} - 8 q^{19} + 120 q^{20} - 22 q^{21} - 2 q^{22} - 160 q^{24} + 44 q^{27} - 72 q^{28} - 6 q^{29} - 90 q^{30} - 4 q^{31} - 6 q^{32} - 8 q^{33} + 6 q^{34} - 202 q^{36} - 8 q^{37} - 6 q^{38} - 2 q^{40} + 44 q^{42} - 2 q^{43} + 46 q^{45} - 160 q^{46} - 12 q^{47} - 118 q^{48} + 472 q^{49} + 228 q^{50} - 48 q^{51} - 2 q^{52} + 206 q^{54} - 300 q^{56} - 92 q^{58} - 438 q^{59} - 90 q^{60} - 2 q^{61} - 204 q^{63} + 244 q^{64} - 12 q^{65} - 508 q^{66} - 2 q^{67} - 144 q^{68} + 14 q^{69} + 96 q^{70} + 6 q^{72} + 246 q^{74} + 152 q^{75} - 158 q^{76} - 6 q^{77} + 304 q^{78} - 4 q^{79} - 8 q^{81} - 388 q^{82} - 726 q^{83} + 542 q^{84} + 48 q^{85} + 894 q^{86} + 22 q^{88} - 528 q^{90} - 204 q^{91} - 348 q^{92} + 62 q^{93} - 18 q^{94} - 12 q^{95} + 262 q^{96} - 4 q^{97} + 286 q^{99}+O(q^{100}) $ 184 * q - 6 * q^2 - 4 * q^3 - 2 * q^4 - 6 * q^5 - 10 * q^6 - 8 * q^10 - 6 * q^11 - 64 * q^12 - 2 * q^13 - 6 * q^14 - 8 * q^15 - 2 * q^16 + 54 * q^18 - 8 * q^19 + 120 * q^20 - 22 * q^21 - 2 * q^22 - 160 * q^24 + 44 * q^27 - 72 * q^28 - 6 * q^29 - 90 * q^30 - 4 * q^31 - 6 * q^32 - 8 * q^33 + 6 * q^34 - 202 * q^36 - 8 * q^37 - 6 * q^38 - 2 * q^40 + 44 * q^42 - 2 * q^43 + 46 * q^45 - 160 * q^46 - 12 * q^47 - 118 * q^48 + 472 * q^49 + 228 * q^50 - 48 * q^51 - 2 * q^52 + 206 * q^54 - 300 * q^56 - 92 * q^58 - 438 * q^59 - 90 * q^60 - 2 * q^61 - 204 * q^63 + 244 * q^64 - 12 * q^65 - 508 * q^66 - 2 * q^67 - 144 * q^68 + 14 * q^69 + 96 * q^70 + 6 * q^72 + 246 * q^74 + 152 * q^75 - 158 * q^76 - 6 * q^77 + 304 * q^78 - 4 * q^79 - 8 * q^81 - 388 * q^82 - 726 * q^83 + 542 * q^84 + 48 * q^85 + 894 * q^86 + 22 * q^88 - 528 * q^90 - 204 * q^91 - 348 * q^92 + 62 * q^93 - 18 * q^94 - 12 * q^95 + 262 * q^96 - 4 * q^97 + 286 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/144\mathbb{Z}\right)^\times$.

$n$	$37$	$65$	$127$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{1}{6}\right)$	$1$

Coefficient data

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

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

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

$2$	−1.58134	−	1.22449i	−0.790669	−	0.612243i
$2$	−1.58134	−	1.22449i	−0.790669	−	0.612243i
$3$	1.74774	−	2.43832i	0.582580	−	0.812773i
$3$	1.74774	−	2.43832i	0.582580	−	0.812773i
$4$	1.00126	+	3.87266i	0.250316	+	0.968164i
$5$	0.973349	−	3.63259i	0.194670	−	0.726517i	−0.797682	−	0.603078i	$-0.793941\pi$
$5$	0.973349	−	3.63259i	0.194670	−	0.726517i	0.992352	−	0.123440i	$-0.0393925\pi$
$6$	−5.74946	+	1.71573i	−0.958243	+	0.285954i
$7$	11.7048	+	6.75777i	1.67211	+	0.965395i	0.966452	+	0.256846i	$0.0826833\pi$
$7$	11.7048	+	6.75777i	1.67211	+	0.965395i	0.705661	+	0.708549i	$0.250650\pi$
$8$	3.15868	−	7.35002i	0.394835	−	0.918752i
$9$	−2.89081	−	8.52310i	−0.321201	−	0.947011i
$10$	−5.98725	+	4.55250i	−0.598725	+	0.455250i
$11$	4.44465	−	1.19094i	0.404059	−	0.108267i	−0.0510651	−	0.998695i	$-0.516262\pi$
$11$	4.44465	−	1.19094i	0.404059	−	0.108267i	0.455124	+	0.890428i	$0.349595\pi$
$12$	11.1927	+	4.32699i	0.932727	+	0.360583i
$13$	1.01931	−	3.80413i	0.0784087	−	0.292625i	−0.915576	−	0.402145i	$-0.868265\pi$
$13$	1.01931	−	3.80413i	0.0784087	−	0.292625i	0.993985	+	0.109520i	$0.0349314\pi$
$14$	−10.2345	−	25.0187i	−0.731032	−	1.78705i
$15$	−7.15625	−	8.72215i	−0.477083	−	0.581477i
$16$	−13.9949	+	7.75511i	−0.874684	+	0.484694i
$17$			20.6241i			1.21318i	0.795013	+	0.606592i	$0.207464\pi$
$17$			20.6241i			1.21318i	−0.795013	+	0.606592i	$0.792536\pi$
$18$	−5.86507	+	17.0177i	−0.325837	+	0.945426i
$19$	−19.5324	−	19.5324i	−1.02802	−	1.02802i	−0.999596	−	0.0284249i	$-0.990951\pi$
$19$	−19.5324	−	19.5324i	−1.02802	−	1.02802i	−0.0284249	−	0.999596i	$-0.509049\pi$
$20$	15.0423	+	0.132265i	0.752117	+	0.00661326i
$21$	36.9345	−	16.7292i	1.75879	−	0.796630i
$22$	−8.48678	−	3.55913i	−0.385763	−	0.161779i
$23$	−14.7668	−	25.5769i	−0.642035	−	1.11204i	−0.984978	−	0.172681i	$-0.944757\pi$
$23$	−14.7668	−	25.5769i	−0.642035	−	1.11204i	0.342943	−	0.939356i	$-0.388576\pi$
$24$	−12.4011	−	20.5478i	−0.516714	−	0.856158i
$25$	9.40236	+	5.42845i	0.376094	+	0.217138i
$26$	−6.26998	+	4.76748i	−0.241153	+	0.183365i
$27$	−25.8344	−	7.84744i	−0.956831	−	0.290646i
$28$	−14.4509	+	52.0950i	−0.516104	+	1.86053i
$29$	−5.65607	−	21.1088i	−0.195037	−	0.727888i	−0.992257	−	0.124199i	$-0.960364\pi$
$29$	−5.65607	−	21.1088i	−0.195037	−	0.727888i	0.797220	−	0.603689i	$-0.206303\pi$
$30$	0.636294	+	22.5554i	0.0212098	+	0.751847i
$31$	6.01256	+	10.4141i	0.193954	+	0.335938i	0.946557	−	0.322537i	$-0.104536\pi$
$31$	6.01256	+	10.4141i	0.193954	+	0.335938i	−0.752603	+	0.658474i	$0.771202\pi$
$32$	31.6268	+	4.87317i	0.988336	+	0.152286i
$33$	4.86420	−	12.9189i	0.147400	−	0.391483i
$34$	25.2540	−	32.6137i	0.742764	−	0.959228i
$35$	35.9410	−	35.9410i	1.02689	−	1.02689i
$36$	30.1126	−	19.7290i	0.836460	−	0.548028i
$37$	−20.6078	+	20.6078i	−0.556968	+	0.556968i	−0.928443	−	0.371475i	$-0.878852\pi$
$37$	−20.6078	+	20.6078i	−0.556968	+	0.556968i	0.371475	+	0.928443i	$0.378852\pi$
$38$	6.97017	+	54.8045i	0.183426	+	1.44222i
$39$	−7.49419	−	9.13404i	−0.192159	−	0.234206i
$40$	−23.6251	−	18.6283i	−0.590627	−	0.465708i
$41$	21.7630	+	37.6946i	0.530804	+	0.919379i	0.999354	+	0.0359424i	$0.0114433\pi$
$41$	21.7630	+	37.6946i	0.530804	+	0.919379i	−0.468550	+	0.883437i	$0.655223\pi$
$42$	−78.8907	−	18.7713i	−1.87835	−	0.446935i
$43$	5.80291	+	21.6568i	0.134952	+	0.503646i	0.999998	+	0.00195433i	$0.000622083\pi$
$43$	5.80291	+	21.6568i	0.134952	+	0.503646i	−0.865047	+	0.501692i	$0.832711\pi$
$44$	9.06237	+	16.0201i	0.205963	+	0.364094i
$45$	−33.7747	+	2.20517i	−0.750548	+	0.0490038i
$46$	−7.96720	+	58.5274i	−0.173200	+	1.27234i
$47$	9.68895	+	5.59392i	0.206148	+	0.119020i	0.599520	−	0.800360i	$-0.295358\pi$
$47$	9.68895	+	5.59392i	0.206148	+	0.119020i	−0.393372	+	0.919379i	$0.628692\pi$
$48$	−5.55008	+	47.6781i	−0.115627	+	0.993293i
$49$	66.8348	+	115.761i	1.36398	+	2.36248i
$50$	−8.22124	−	20.0973i	−0.164425	−	0.401946i
$51$	50.2882	+	36.0456i	0.986044	+	0.706777i
$52$	15.7527	+	0.138511i	0.302936	+	0.00266368i
$53$	4.73923	+	4.73923i	0.0894194	+	0.0894194i	0.750402	−	0.660982i	$-0.229860\pi$
$53$	4.73923	+	4.73923i	0.0894194	+	0.0894194i	−0.660982	+	0.750402i	$0.729860\pi$
$54$	31.2439	+	44.0434i	0.578591	+	0.815618i
$55$		−	17.3048i		−	0.314632i
$56$	86.6414	−	64.6848i	1.54717	−	1.15509i
$57$	−81.7638	+	13.4887i	−1.43445	+	0.236644i
$58$	−16.9032	+	40.3059i	−0.291435	+	0.694929i
$59$	−27.0274	+	100.868i	−0.458092	+	1.70962i	0.220744	+	0.975332i	$0.429152\pi$
$59$	−27.0274	+	100.868i	−0.458092	+	1.70962i	−0.678836	+	0.734290i	$0.737515\pi$
$60$	26.6126	−	36.4469i	0.443543	−	0.607448i
$61$	34.9763	−	9.37188i	0.573383	−	0.153637i	0.0395352	−	0.999218i	$-0.487412\pi$
$61$	34.9763	−	9.37188i	0.573383	−	0.153637i	0.533848	+	0.845581i	$0.320746\pi$
$62$	3.24399	−	23.8305i	0.0523223	−	0.384362i
$63$	23.7608	−	119.297i	0.377155	−	1.89360i
$64$	−44.0455	−	46.4327i	−0.688211	−	0.725511i
$65$	−12.8267	−	7.40548i	−0.197333	−	0.113931i
$66$	−23.5110	+	14.4731i	−0.356227	+	0.219289i
$67$	17.4252	−	65.0316i	0.260077	−	0.970621i	−0.705118	−	0.709090i	$-0.749106\pi$
$67$	17.4252	−	65.0316i	0.260077	−	0.970621i	0.965195	−	0.261531i	$-0.0842274\pi$
$68$	−79.8702	+	20.6502i	−1.17456	+	0.303680i
$69$	−88.1731	−	8.69549i	−1.27787	−	0.126022i
$70$	−100.844	+	12.8256i	−1.44063	+	0.183223i
$71$	−109.504			−1.54231			−0.771153	−	0.636650i	$-0.780320\pi$
$71$	−109.504			−1.54231			−0.771153	+	0.636650i	$0.780320\pi$
$72$	−71.7761	−	5.67422i	−0.996890	−	0.0788086i
$73$		−	1.77397i		−	0.0243010i	−0.999926	−	0.0121505i	$-0.996132\pi$
$73$		−	1.77397i		−	0.0243010i	0.999926	−	0.0121505i	$-0.00386771\pi$
$74$	57.8219	−	7.35394i	0.781378	−	0.0993776i
$75$	29.6692	−	13.4384i	0.395589	−	0.179179i
$76$	56.0852	−	95.1994i	0.737963	−	1.25262i
$77$	60.0718	+	16.0962i	0.780153	+	0.209041i
$78$	0.666342	+	23.6205i	0.00854284	+	0.302827i
$79$	50.8136	−	88.0118i	0.643211	−	1.11407i	−0.341501	−	0.939881i	$-0.610935\pi$
$79$	50.8136	−	88.0118i	0.643211	−	1.11407i	0.984712	−	0.174192i	$-0.0557314\pi$
$80$	14.5491	+	58.3862i	0.181864	+	0.729828i
$81$	−64.2864	+	49.2773i	−0.793660	+	0.608362i
$82$	11.7419	−	86.2563i	0.143194	−	1.05191i
$83$	7.55138	+	28.1822i	0.0909805	+	0.339544i	0.996379	−	0.0850180i	$-0.0270948\pi$
$83$	7.55138	+	28.1822i	0.0909805	+	0.339544i	−0.905399	+	0.424562i	$0.860428\pi$
$84$	101.768	+	126.284i	1.21152	+	1.50339i
$85$	74.9189	+	20.0745i	0.881399	+	0.236170i
$86$	17.3421	−	41.3523i	0.201652	−	0.480841i
$87$	−61.3552	−	23.1013i	−0.705233	−	0.265532i
$88$	5.28578	−	36.4300i	0.0600657	−	0.413978i
$89$	−16.6625			−0.187219			−0.0936096	−	0.995609i	$-0.529841\pi$
$89$	−16.6625			−0.187219			−0.0936096	+	0.995609i	$0.529841\pi$
$90$	56.1094	+	37.8695i	0.623438	+	0.420772i
$91$	37.6383	−	37.6383i	0.413607	−	0.413607i
$92$	84.2649	−	82.7960i	0.915923	−	0.899956i
$93$	35.9012	+	3.54052i	0.386035	+	0.0380701i
$94$	−8.47184	−	20.7099i	−0.0901259	−	0.220318i
$95$	−89.9650	+	51.9413i	−0.946999	+	0.546750i
$96$	67.1577	−	68.5992i	0.699559	−	0.714575i
$97$	−50.9724	+	88.2869i	−0.525489	+	0.910174i	0.474070	+	0.880487i	$0.342784\pi$
$97$	−50.9724	+	88.2869i	−0.525489	+	0.910174i	−0.999559	+	0.0296868i	$0.990549\pi$
$98$	36.0597	−	264.896i	0.367956	−	2.70302i
$99$	−22.9991	−	34.4394i	−0.232314	−	0.347873i
$100$	−11.6083	+	41.8474i	−0.116083	+	0.418474i
$101$	4.01449	−	1.07568i	0.0397474	−	0.0106503i	−0.238891	−	0.971047i	$-0.576784\pi$
$101$	4.01449	−	1.07568i	0.0397474	−	0.0106503i	0.278638	+	0.960396i	$0.410117\pi$
$102$	−35.3854	−	118.578i	−0.346915	−	1.16253i
$103$	61.7836	−	35.6708i	0.599840	−	0.346318i	−0.169138	−	0.985592i	$-0.554098\pi$
$103$	61.7836	−	35.6708i	0.599840	−	0.346318i	0.768979	+	0.639274i	$0.220765\pi$
$104$	−24.7407	−	19.5080i	−0.237892	−	0.187577i
$105$	−24.8202	−	150.451i	−0.236382	−	1.43287i
$106$	−1.69120	−	13.2974i	−0.0159547	−	0.125448i
$107$	1.62993	+	1.62993i	0.0152330	+	0.0152330i	0.714682	−	0.699449i	$-0.246571\pi$
$107$	1.62993	+	1.62993i	0.0152330	+	0.0152330i	−0.699449	+	0.714682i	$0.746571\pi$
$108$	4.52334	−	107.905i	0.0418827	−	0.999123i
$109$	89.4775	+	89.4775i	0.820895	+	0.820895i	0.986236	−	0.165342i	$-0.0528727\pi$
$109$	89.4775	+	89.4775i	0.820895	+	0.820895i	−0.165342	+	0.986236i	$0.552873\pi$
$110$	−21.1895	+	27.3647i	−0.192631	+	0.248770i
$111$	14.2314	+	86.2656i	0.128210	+	0.777167i
$112$	−216.215	−	3.80259i	−1.93049	−	0.0339517i
$113$	−72.2417	+	41.7088i	−0.639307	+	0.369104i	−0.784348	−	0.620322i	$-0.787002\pi$
$113$	−72.2417	+	41.7088i	−0.639307	+	0.369104i	0.145040	+	0.989426i	$0.453669\pi$
$114$	145.813	+	78.7885i	1.27906	+	0.691127i
$115$	−107.283	+	28.7465i	−0.932899	+	0.249970i
$116$	76.0837	−	43.0395i	0.655894	−	0.371030i
$117$	−35.3696	+	2.30931i	−0.302304	+	0.0197377i
$118$	166.251	−	126.411i	1.40890	−	1.07128i
$119$	−139.373	+	241.401i	−1.17120	+	2.02858i
$120$	−86.7123	+	25.0481i	−0.722602	+	0.208734i
$121$	−86.4525	+	49.9134i	−0.714484	+	0.412507i
$122$	−66.7852	−	28.0079i	−0.547420	−	0.229573i
$123$	129.947	+	12.8152i	1.05648	+	0.104189i
$124$	−34.3099	+	33.7118i	−0.276693	+	0.271870i
$125$	95.3520	−	95.3520i	0.762816	−	0.762816i
$126$	−183.651	+	159.554i	−1.45755	+	1.26630i
$127$	−214.074			−1.68562			−0.842812	−	0.538209i	$-0.819101\pi$
$127$	−214.074			−1.68562			−0.842812	+	0.538209i	$0.819101\pi$
$128$	12.7947	+	127.359i	0.0999583	+	0.994992i
$129$	62.9481	+	23.7010i	0.487970	+	0.183729i
$130$	11.2154	+	27.4167i	0.0862723	+	0.210897i
$131$	−81.6894	−	21.8886i	−0.623583	−	0.167089i	−0.0668271	−	0.997765i	$-0.521288\pi$
$131$	−81.6894	−	21.8886i	−0.623583	−	0.167089i	−0.556756	+	0.830676i	$0.687954\pi$
$132$	54.9009	+	5.90210i	0.415916	+	0.0447128i
$133$	−96.6273	−	360.618i	−0.726521	−	2.71141i
$134$	−107.185	+	81.5001i	−0.799891	+	0.608210i
$135$	−53.6524	+	86.2075i	−0.397425	+	0.638574i
$136$	151.588	+	65.1450i	1.11462	+	0.479007i
$137$	19.0299	−	32.9607i	0.138904	−	0.240589i	−0.788178	−	0.615448i	$-0.788975\pi$
$137$	19.0299	−	32.9607i	0.138904	−	0.240589i	0.927082	+	0.374858i	$0.122309\pi$
$138$	128.784	+	121.717i	0.933217	+	0.882009i
$139$	102.203	+	27.3851i	0.735270	+	0.197015i	0.606975	−	0.794721i	$-0.292383\pi$
$139$	102.203	+	27.3851i	0.735270	+	0.197015i	0.128295	+	0.991736i	$0.459049\pi$
$140$	175.174	+	103.201i	1.25124	+	0.737148i
$141$	30.5735	−	13.8481i	0.216834	−	0.0982131i
$142$	173.162	+	134.086i	1.21945	+	0.944267i
$143$		−	18.1219i		−	0.126727i
$144$	106.554	+	96.8617i	0.739960	+	0.672651i
$145$	−82.1847			−0.566791
$146$	−2.17220	+	2.80525i	−0.0148781	+	0.0192140i
$147$	399.073	+	39.3560i	2.71478	+	0.267728i
$148$	−100.441	−	59.1731i	−0.678655	−	0.399818i
$149$	−35.0518	+	130.815i	−0.235247	+	0.877954i	0.742790	+	0.669524i	$0.233502\pi$
$149$	−35.0518	+	130.815i	−0.235247	+	0.877954i	−0.978037	+	0.208430i	$0.933165\pi$
$150$	−63.3722	−	15.0788i	−0.422481	−	0.100525i
$151$	50.9751	+	29.4305i	0.337584	+	0.194904i	0.659203	−	0.751965i	$-0.270894\pi$
$151$	50.9751	+	29.4305i	0.337584	+	0.194904i	−0.321619	+	0.946869i	$0.604227\pi$
$152$	−205.260	+	81.8669i	−1.35039	+	0.538598i
$153$	175.782	−	59.6205i	1.14890	−	0.389676i
$154$	−75.2843	−	99.0106i	−0.488859	−	0.642926i
$155$	43.6823	−	11.7046i	0.281821	−	0.0755138i
$156$	27.8693	−	38.1680i	0.178650	−	0.244667i
$157$	−15.6898	+	58.5552i	−0.0999351	+	0.372963i	−0.997721	−	0.0674685i	$-0.978508\pi$
$157$	−15.6898	+	58.5552i	−0.0999351	+	0.372963i	0.897786	+	0.440431i	$0.145174\pi$
$158$	−188.123	+	76.9559i	−1.19065	+	0.487062i
$159$	19.8387	−	3.27282i	0.124772	−	0.0205838i
$160$	48.4861	−	110.144i	0.303038	−	0.688398i
$161$		−	399.162i		−	2.47927i
$162$	161.998	+	0.793728i	0.999988	+	0.00489956i
$163$	30.8635	+	30.8635i	0.189347	+	0.189347i	0.795414	−	0.606067i	$-0.207254\pi$
$163$	30.8635	+	30.8635i	0.189347	+	0.189347i	−0.606067	+	0.795414i	$0.707254\pi$
$164$	−124.188	+	122.023i	−0.757241	+	0.744041i
$165$	−42.1946	−	30.2442i	−0.255725	−	0.183298i
$166$	22.5674	−	53.8121i	0.135948	−	0.324169i
$167$	−77.9544	−	135.021i	−0.466793	−	0.808509i	0.532488	−	0.846438i	$-0.321257\pi$
$167$	−77.9544	−	135.021i	−0.466793	−	0.808509i	−0.999280	+	0.0379291i	$0.987924\pi$
$168$	−6.29573	−	324.312i	−0.0374746	−	1.93043i
$169$	132.926	+	76.7448i	0.786544	+	0.454111i
$170$	−93.8913	−	123.482i	−0.552302	−	0.726363i
$171$	−110.012	+	222.941i	−0.643346	+	1.30375i
$172$	−78.0590	+	44.1569i	−0.453831	+	0.256726i
$173$	−16.8894	−	63.0320i	−0.0976264	−	0.364347i	0.899778	−	0.436348i	$-0.143728\pi$
$173$	−16.8894	−	63.0320i	−0.0976264	−	0.364347i	−0.997405	+	0.0720009i	$0.977062\pi$
$174$	68.7362	+	111.660i	0.395036	+	0.641722i
$175$	73.3685	+	127.078i	0.419248	+	0.726159i
$176$	−52.9667	+	51.1358i	−0.300947	+	0.290545i
$177$	198.711	+	242.192i	1.12266	+	1.36832i
$178$	26.3491	+	20.4030i	0.148029	+	0.114624i
$179$	−139.299	+	139.299i	−0.778205	+	0.778205i	−0.979525	−	0.201320i	$-0.935477\pi$
$179$	−139.299	+	139.299i	−0.778205	+	0.778205i	0.201320	+	0.979525i	$0.435477\pi$
$180$	−42.3572	−	128.590i	−0.235318	−	0.714387i
$181$	24.6459	−	24.6459i	0.136165	−	0.136165i	−0.635739	−	0.771904i	$-0.719305\pi$
$181$	24.6459	−	24.6459i	0.136165	−	0.136165i	0.771904	+	0.635739i	$0.219305\pi$
$182$	−105.606	+	13.4313i	−0.580255	+	0.0737983i
$183$	38.2779	−	101.663i	0.209169	−	0.555536i
$184$	−234.634	+	27.7472i	−1.27518	+	0.150800i
$185$	54.8011	+	94.9183i	0.296222	+	0.513072i
$186$	−52.4367	−	49.5593i	−0.281918	−	0.266448i
$187$	24.5621	+	91.6670i	0.131348	+	0.490198i
$188$	−11.9621	+	43.1230i	−0.0636283	+	0.229378i
$189$	−249.356	−	266.436i	−1.31934	−	1.40971i
$190$	205.866	+	28.0241i	1.08351	+	0.147495i
$191$	270.171	+	155.983i	1.41451	+	0.816667i	0.995809	−	0.0914579i	$-0.0291527\pi$
$191$	270.171	+	155.983i	1.41451	+	0.816667i	0.418700	+	0.908125i	$0.362486\pi$
$192$	−190.198	+	26.2448i	−0.990614	+	0.136692i
$193$	−14.3907	−	24.9255i	−0.0745633	−	0.129147i	0.826333	−	0.563182i	$-0.190423\pi$
$193$	−14.3907	−	24.9255i	−0.0745633	−	0.129147i	−0.900896	+	0.434034i	$0.857090\pi$
$194$	188.711	−	77.1964i	0.972736	−	0.397919i
$195$	−40.4746	+	18.3327i	−0.207562	+	0.0940138i
$196$	−381.384	+	374.736i	−1.94584	+	1.91192i
$197$	111.287	+	111.287i	0.564908	+	0.564908i	0.930697	−	0.365790i	$-0.119201\pi$
$197$	111.287	+	111.287i	0.564908	+	0.564908i	−0.365790	+	0.930697i	$0.619201\pi$
$198$	−5.80116	+	82.6225i	−0.0292988	+	0.417285i
$199$		−	292.825i		−	1.47148i	−0.677262	−	0.735742i	$-0.736834\pi$
$199$		−	292.825i		−	1.47148i	0.677262	−	0.735742i	$-0.263166\pi$
$200$	69.5983	−	51.9608i	0.347991	−	0.259804i
$201$	−128.113	−	156.146i	−0.637379	−	0.776848i
$202$	−7.66543	−	3.21468i	−0.0379477	−	0.0159142i
$203$	76.4448	−	285.296i	0.376576	−	1.40540i
$204$	−89.2405	+	230.840i	−0.437453	+	1.13157i
$205$	158.112	−	42.3659i	0.771277	−	0.206663i
$206$	−141.379	−	19.2456i	−0.686306	−	0.0934253i
$207$	−175.306	+	199.797i	−0.846889	+	0.965202i
$208$	15.2362	+	61.1434i	0.0732509	+	0.293959i
$209$	−110.077	−	63.5527i	−0.526682	−	0.304080i
$210$	−144.977	+	268.306i	−0.690364	+	1.27765i
$211$	21.5248	−	80.3317i	0.102013	−	0.380719i	−0.895976	−	0.444103i	$-0.853523\pi$
$211$	21.5248	−	80.3317i	0.102013	−	0.380719i	0.997989	+	0.0633836i	$0.0201892\pi$
$212$	−13.6082	+	23.0986i	−0.0641895	+	0.108956i
$213$	−191.384	+	267.005i	−0.898517	+	1.25355i
$214$	−0.581644	−	4.57330i	−0.00271796	−	0.0213706i
$215$	84.3184			0.392178
$216$	−139.281	+	165.096i	−0.644822	+	0.764333i
$217$			162.526i			0.748968i
$218$	−31.9302	−	251.058i	−0.146469	−	1.15164i
$219$	−4.32551	−	3.10044i	−0.0197512	−	0.0141573i
$220$	67.0154	−	17.3266i	0.304616	−	0.0787575i
$221$	78.4568	+	21.0224i	0.355008	+	0.0951242i
$222$	83.1264	−	153.841i	0.374443	−	0.692978i
$223$	195.738	−	339.028i	0.877747	−	1.52030i	0.0239405	−	0.999713i	$-0.492379\pi$
$223$	195.738	−	339.028i	0.877747	−	1.52030i	0.853807	−	0.520590i	$-0.174288\pi$
$224$	337.253	+	270.766i	1.50559	+	1.20878i
$225$	19.0868	−	95.8299i	0.0848303	−	0.425910i
$226$	165.310	+	22.5033i	0.731462	+	0.0995722i
$227$	−84.9324	−	316.972i	−0.374152	−	1.39635i	−0.854580	−	0.519319i	$-0.826185\pi$
$227$	−84.9324	−	316.972i	−0.374152	−	1.39635i	0.480428	−	0.877034i	$-0.340481\pi$
$228$	−134.104	−	303.137i	−0.588176	−	1.32955i
$229$	−189.159	−	50.6851i	−0.826024	−	0.221332i	−0.179045	−	0.983841i	$-0.557301\pi$
$229$	−189.159	−	50.6851i	−0.826024	−	0.221332i	−0.646978	+	0.762508i	$0.723968\pi$
$230$	204.851	+	85.9091i	0.890657	+	0.373518i
$231$	144.237	−	118.342i	0.624405	−	0.512304i
$232$	−173.015	−	25.1035i	−0.745756	−	0.108205i
$233$	−249.656			−1.07149			−0.535743	−	0.844381i	$-0.679969\pi$
$233$	−249.656			−1.07149			−0.535743	+	0.844381i	$0.679969\pi$
$234$	58.7590	+	39.6578i	0.251107	+	0.169478i
$235$	29.7511	−	29.7511i	0.126601	−	0.126601i
$236$	−417.688	−	3.67267i	−1.76986	−	0.0155622i
$237$	−125.792	−	277.722i	−0.530768	−	1.17182i
$238$	515.989	−	211.077i	2.16802	−	0.886877i
$239$	81.4073	−	47.0005i	0.340616	−	0.196655i	−0.319928	−	0.947442i	$-0.603659\pi$
$239$	81.4073	−	47.0005i	0.340616	−	0.196655i	0.660545	+	0.750787i	$0.270325\pi$
$240$	167.792	+	66.5685i	0.699135	+	0.277369i
$241$	−5.26911	+	9.12637i	−0.0218635	+	0.0378688i	−0.876750	−	0.480946i	$-0.840293\pi$
$241$	−5.26911	+	9.12637i	−0.0218635	+	0.0378688i	0.854887	+	0.518815i	$0.173627\pi$
$242$	197.829	+	26.9300i	0.817475	+	0.111281i
$243$	7.79795	+	242.875i	0.0320903	+	0.999485i
$244$	71.3147	+	126.068i	0.292273	+	0.516671i
$245$	485.567	−	130.107i	1.98190	−	0.531050i
$246$	−189.799	−	179.384i	−0.771540	−	0.729204i
$247$	−94.2134	+	54.3941i	−0.381431	+	0.220219i
$248$	95.5353	−	11.2978i	0.385223	−	0.0455555i
$249$	81.9150	+	30.8424i	0.328976	+	0.123865i
$250$	−267.541	+	34.0266i	−1.07016	+	0.136106i
$251$	247.621	+	247.621i	0.986537	+	0.986537i	0.999911	−	0.0133735i	$-0.00425705\pi$
$251$	247.621	+	247.621i	0.986537	+	0.986537i	−0.0133735	+	0.999911i	$0.504257\pi$
$252$	485.785	−	27.4301i	1.92772	−	0.108850i
$253$	−96.0937	−	96.0937i	−0.379817	−	0.379817i
$254$	338.524	+	262.131i	1.33277	+	1.03201i
$255$	179.887	−	147.591i	0.705438	−	0.578790i
$256$	135.717	−	217.064i	0.530143	−	0.847908i
$257$	−34.5621	+	19.9544i	−0.134483	+	0.0776437i	−0.565732	−	0.824589i	$-0.691406\pi$
$257$	−34.5621	+	19.9544i	−0.134483	+	0.0776437i	0.431249	+	0.902233i	$0.358073\pi$
$258$	−70.5207	−	114.559i	−0.273336	−	0.444025i
$259$	−380.473	+	101.947i	−1.46901	+	0.393620i
$260$	15.8360	−	57.0882i	0.0609077	−	0.219570i
$261$	−163.561	+	109.229i	−0.626672	+	0.418501i
$262$	102.376	+	134.641i	0.390749	+	0.513897i
$263$	−81.6012	+	141.337i	−0.310271	+	0.537405i	−0.978421	−	0.206622i	$-0.933753\pi$
$263$	−81.6012	+	141.337i	−0.310271	+	0.537405i	0.668150	+	0.744026i	$0.267086\pi$
$264$	−79.5899	−	76.5586i	−0.301477	−	0.289995i
$265$	21.8286	−	12.6027i	0.0823720	−	0.0475575i
$266$	−288.772	+	688.578i	−1.08561	+	2.58864i
$267$	−29.1217	+	40.6286i	−0.109070	+	0.152167i
$268$	269.292	+	2.36785i	1.00482	+	0.00883526i
$269$	23.5517	−	23.5517i	0.0875528	−	0.0875528i	−0.661974	−	0.749527i	$-0.730281\pi$
$269$	23.5517	−	23.5517i	0.0875528	−	0.0875528i	0.749527	+	0.661974i	$0.230281\pi$
$270$	190.403	−	70.6266i	0.705195	−	0.261580i
$271$	−123.822			−0.456906			−0.228453	−	0.973555i	$-0.573367\pi$
$271$	−123.822			−0.456906			−0.228453	+	0.973555i	$0.573367\pi$
$272$	−159.942	−	288.633i	−0.588023	−	1.06115i
$273$	−25.9922	−	157.556i	−0.0952097	−	0.577128i
$274$	−70.4527	+	28.8202i	−0.257127	+	0.105183i
$275$	48.2551	+	12.9299i	0.175473	+	0.0470179i
$276$	−54.6099	−	350.171i	−0.197862	−	1.26873i
$277$	55.3217	+	206.463i	0.199717	+	0.745355i	0.990995	+	0.133898i	$0.0427494\pi$
$277$	55.3217	+	206.463i	0.199717	+	0.745355i	−0.791278	+	0.611457i	$0.790584\pi$
$278$	−128.084	−	168.451i	−0.460735	−	0.605938i
$279$	71.3789	−	81.3508i	0.255838	−	0.291580i
$280$	−150.641	−	377.693i	−0.538004	−	1.34890i
$281$	125.471	−	217.323i	0.446517	−	0.773390i	−0.551639	−	0.834083i	$-0.685998\pi$
$281$	125.471	−	217.323i	0.446517	−	0.773390i	0.998157	+	0.0606924i	$0.0193309\pi$
$282$	−65.3039	−	15.5384i	−0.231574	−	0.0551008i
$283$	−453.028	−	121.388i	−1.60080	−	0.428934i	−0.655519	−	0.755179i	$-0.727550\pi$
$283$	−453.028	−	121.388i	−1.60080	−	0.428934i	−0.945285	+	0.326244i	$0.894217\pi$
$284$	−109.642	−	424.070i	−0.386064	−	1.49321i
$285$	−30.5858	+	310.143i	−0.107319	+	1.08822i
$286$	−22.1901	+	28.6569i	−0.0775877	+	0.100199i
$287$			588.276i			2.04974i
$288$	−49.8925	−	283.645i	−0.173238	−	0.984880i
$289$	−136.355			−0.471816
$290$	129.962	+	100.634i	0.448144	+	0.347014i
$291$	126.185	+	278.590i	0.433626	+	0.957353i
$292$	6.86998	−	1.77621i	0.0235273	−	0.00608292i
$293$	114.747	−	428.241i	0.391628	−	1.46157i	−0.435821	−	0.900033i	$-0.643542\pi$
$293$	114.747	−	428.241i	0.391628	−	1.46157i	0.827449	−	0.561541i	$-0.189791\pi$
$294$	−582.879	−	550.895i	−1.98258	−	1.87379i
$295$	340.104	+	196.359i	1.15289	+	0.665623i
$296$	86.3743	+	216.561i	0.291805	+	0.731626i
$297$	−124.171	−	4.11185i	−0.418083	−	0.0138446i
$298$	215.610	−	163.943i	0.723524	−	0.550143i
$299$	−112.350	+	30.1040i	−0.375751	+	0.100682i
$300$	81.7491	+	101.443i	0.272497	+	0.338144i
$301$	−78.4295	+	292.703i	−0.260563	+	0.972435i
$302$	−44.5717	−	108.958i	−0.147588	−	0.360788i
$303$	4.39343	−	11.6686i	0.0144998	−	0.0385103i
$304$	424.831	+	121.879i	1.39747	+	0.400917i
$305$		−	136.177i		−	0.446481i
$306$	−350.975	−	120.962i	−1.14698	−	0.395301i
$307$	−366.566	−	366.566i	−1.19403	−	1.19403i	−0.975927	−	0.218099i	$-0.930014\pi$
$307$	−366.566	−	366.566i	−1.19403	−	1.19403i	−0.218099	−	0.975927i	$-0.569986\pi$
$308$	−2.18726	+	248.754i	−0.00710149	+	0.807643i
$309$	21.0049	−	212.991i	0.0679769	−	0.689292i
$310$	−83.4087	−	34.9794i	−0.269060	−	0.112837i
$311$	−64.2261	−	111.243i	−0.206515	−	0.357694i	0.744099	−	0.668069i	$-0.232879\pi$
$311$	−64.2261	−	111.243i	−0.206515	−	0.357694i	−0.950614	+	0.310375i	$0.899546\pi$
$312$	−90.8071	+	26.2309i	−0.291048	+	0.0840735i
$313$	13.8067	+	7.97130i	0.0441108	+	0.0254674i	0.521893	−	0.853011i	$-0.325226\pi$
$313$	13.8067	+	7.97130i	0.0441108	+	0.0254674i	−0.477782	+	0.878478i	$0.658559\pi$
$314$	96.5109	−	73.3836i	0.307360	−	0.233706i
$315$	−410.228	−	202.430i	−1.30231	−	0.642636i
$316$	391.717	+	108.661i	1.23961	+	0.343863i
$317$	33.4134	+	124.701i	0.105405	+	0.393377i	0.998391	−	0.0567078i	$-0.0180604\pi$
$317$	33.4134	+	124.701i	0.105405	+	0.393377i	−0.892986	+	0.450085i	$0.851394\pi$
$318$	−35.3792	−	19.1168i	−0.111255	−	0.0601157i
$319$	−50.2785	−	87.0849i	−0.157613	−	0.272993i
$320$	−211.542	+	114.804i	−0.661070	+	0.358762i
$321$	6.82299	−	1.12560i	0.0212554	−	0.00350654i
$322$	−488.769	+	631.211i	−1.51792	+	1.96028i
$323$	402.839	−	402.839i	1.24718	−	1.24718i
$324$	−255.202	−	199.620i	−0.787660	−	0.616110i
$325$	30.2345	−	30.2345i	0.0930292	−	0.0930292i
$326$	−11.0137	−	86.5976i	−0.0337844	−	0.265637i
$327$	374.558	−	61.7914i	1.14544	−	0.188965i
$328$	345.798	−	40.8932i	1.05426	−	0.124674i
$329$	75.6048	+	130.951i	0.229802	+	0.398028i
$330$	29.6902	+	99.4930i	0.0899704	+	0.301494i
$331$	−138.432	−	516.635i	−0.418223	−	1.56083i	−0.778291	−	0.627904i	$-0.783913\pi$
$331$	−138.432	−	516.635i	−0.418223	−	1.56083i	0.360067	−	0.932926i	$-0.382754\pi$
$332$	−101.579	+	57.4617i	−0.305960	+	0.173077i
$333$	235.216	+	116.069i	0.706354	+	0.348556i
$334$	−42.0591	+	308.968i	−0.125925	+	0.925054i
$335$	−219.272	−	126.597i	−0.654544	−	0.377901i
$336$	−387.160	+	520.556i	−1.15226	+	1.54927i
$337$	164.770	+	285.389i	0.488931	+	0.846853i	0.999919	−	0.0127349i	$-0.00405375\pi$
$337$	164.770	+	285.389i	0.488931	+	0.846853i	−0.510988	+	0.859588i	$0.670720\pi$
$338$	−116.228	−	284.126i	−0.343869	−	0.840608i
$339$	−24.5604	+	249.045i	−0.0724495	+	0.734645i
$340$	−2.72786	+	310.235i	−0.00802311	+	0.912456i
$341$	39.1262	+	39.1262i	0.114740	+	0.114740i
$342$	446.955	−	217.837i	1.30689	−	0.636950i
$343$			1144.36i			3.33631i
$344$	177.507	+	25.7553i	0.516009	+	0.0748699i
$345$	−117.410	+	311.833i	−0.340320	+	0.903863i
$346$	−50.4740	+	120.356i	−0.145879	+	0.347849i
$347$	72.4227	−	270.285i	0.208711	−	0.778920i	−0.779575	−	0.626309i	$-0.784565\pi$
$347$	72.4227	−	270.285i	0.208711	−	0.778920i	0.988286	−	0.152611i	$-0.0487683\pi$
$348$	28.0305	−	260.738i	0.0805475	−	0.749248i
$349$	−106.046	+	28.4151i	−0.303858	+	0.0814185i	−0.407526	−	0.913193i	$-0.633609\pi$
$349$	−106.046	+	28.4151i	−0.303858	+	0.0814185i	0.103668	+	0.994612i	$0.466942\pi$
$350$	39.5848	−	290.792i	0.113099	−	0.830834i
$351$	−56.1860	+	90.2785i	−0.160074	+	0.257204i
$352$	146.373	−	16.0061i	0.415834	−	0.0454718i
$353$	197.951	+	114.287i	0.560768	+	0.323759i	0.753454	−	0.657501i	$-0.228386\pi$
$353$	197.951	+	114.287i	0.560768	+	0.323759i	−0.192686	+	0.981261i	$0.561720\pi$
$354$	−17.6683	−	626.306i	−0.0499104	−	1.76923i
$355$	−106.585	+	397.782i	−0.300240	+	1.12051i
$356$	−16.6836	−	64.5282i	−0.0468640	−	0.181259i
$357$	345.026	+	761.743i	0.966458	+	2.13373i
$358$	390.848	−	49.7090i	1.09175	−	0.138852i
$359$	−238.232			−0.663599			−0.331800	−	0.943350i	$-0.607656\pi$
$359$	−238.232			−0.663599			−0.331800	+	0.943350i	$0.607656\pi$
$360$	−90.4752	+	255.210i	−0.251320	+	0.708916i
$361$			402.029i			1.11365i
$362$	−69.1521	+	8.79494i	−0.191028	+	0.0242954i
$363$	−29.3917	+	298.035i	−0.0809689	+	0.821032i
$364$	183.446	+	108.074i	0.503972	+	0.296907i
$365$	−6.44410	−	1.72669i	−0.0176551	−	0.00473066i
$366$	−185.016	+	113.893i	−0.505507	+	0.311183i
$367$	84.0822	−	145.635i	0.229107	−	0.396825i	−0.728437	−	0.685113i	$-0.759753\pi$
$367$	84.0822	−	145.635i	0.229107	−	0.396825i	0.957544	+	0.288288i	$0.0930861\pi$
$368$	405.012	+	243.428i	1.10058	+	0.661490i
$369$	258.362	−	294.456i	0.700168	−	0.797983i
$370$	29.5671	−	217.201i	0.0799110	−	0.587030i
$371$	23.4451	+	87.4983i	0.0631943	+	0.235844i
$372$	22.2354	+	142.578i	0.0597726	+	0.383275i
$373$	−588.110	−	157.584i	−1.57670	−	0.422476i	−0.638800	−	0.769373i	$-0.720569\pi$
$373$	−588.110	−	157.584i	−1.57670	−	0.422476i	−0.937903	+	0.346897i	$0.887236\pi$
$374$	73.4040	−	175.033i	0.196267	−	0.468001i
$375$	−65.8482	−	399.149i	−0.175595	−	1.06440i
$376$	71.7197	−	53.5446i	0.190744	−	0.142406i
$377$	−86.0657			−0.228291
$378$	68.0686	+	726.658i	0.180076	+	1.92237i
$379$	−319.529	+	319.529i	−0.843085	+	0.843085i	−0.989259	−	0.146174i	$-0.953304\pi$
$379$	−319.529	+	319.529i	−0.843085	+	0.843085i	0.146174	+	0.989259i	$0.453304\pi$
$380$	−291.229	−	296.396i	−0.766393	−	0.779991i
$381$	−374.146	+	521.981i	−0.982010	+	1.37003i
$382$	−236.233	−	577.484i	−0.618410	−	1.51174i
$383$	222.545	−	128.486i	0.581057	−	0.335473i	−0.180496	−	0.983576i	$-0.557770\pi$
$383$	222.545	−	128.486i	0.581057	−	0.335473i	0.761553	+	0.648102i	$0.224437\pi$
$384$	332.904	+	191.393i	0.866936	+	0.498419i
$385$	116.942	−	202.549i	0.303744	−	0.526101i
$386$	−7.76429	+	57.0369i	−0.0201147	+	0.147764i
$387$	167.808	−	112.064i	0.433612	−	0.289572i
$388$	−392.942	−	109.000i	−1.01274	−	0.280929i
$389$	227.866	−	61.0564i	0.585773	−	0.156957i	0.0462523	−	0.998930i	$-0.485272\pi$
$389$	227.866	−	61.0564i	0.585773	−	0.156957i	0.539521	+	0.841972i	$0.318606\pi$
$390$	86.4522	+	20.5705i	0.221672	+	0.0527448i
$391$	527.500	−	304.553i	1.34911	−	0.778907i
$392$	1061.96	−	125.584i	2.70907	−	0.320368i
$393$	−196.143	+	160.929i	−0.499092	+	0.409489i
$394$	−39.7129	−	312.251i	−0.100794	−	0.792516i
$395$	−270.251	−	270.251i	−0.684180	−	0.684180i
$396$	110.344	−	123.551i	0.278646	−	0.311997i
$397$	−171.165	−	171.165i	−0.431147	−	0.431147i	0.457872	−	0.889018i	$-0.348612\pi$
$397$	−171.165	−	171.165i	−0.431147	−	0.431147i	−0.889018	+	0.457872i	$0.848612\pi$
$398$	−358.561	+	463.056i	−0.900906	+	1.16346i
$399$	−1048.18	−	394.658i	−2.62702	−	0.989118i
$400$	−173.684	−	3.05459i	−0.434209	−	0.00763647i
$401$	168.624	−	97.3550i	0.420508	−	0.242781i	−0.274786	−	0.961505i	$-0.588607\pi$
$401$	168.624	−	97.3550i	0.420508	−	0.242781i	0.695295	+	0.718725i	$0.255274\pi$
$402$	11.3911	+	403.793i	0.0283361	+	1.00446i
$403$	45.7451	−	12.2574i	0.113511	−	0.0304153i
$404$	8.18530	+	14.4697i	0.0202607	+	0.0358161i
$405$	116.431	+	281.490i	0.287484	+	0.695037i
$406$	−470.226	+	357.544i	−1.15819	+	0.880650i
$407$	−67.0518	+	116.137i	−0.164746	+	0.285349i
$408$	423.780	−	255.763i	1.03868	−	0.626870i
$409$	591.992	−	341.787i	1.44741	−	0.835664i	0.449086	−	0.893489i	$-0.351750\pi$
$409$	591.992	−	341.787i	1.44741	−	0.835664i	0.998327	+	0.0578248i	$0.0184165\pi$
$410$	−301.905	−	126.611i	−0.736353	−	0.308807i
$411$	−47.1095	−	104.008i	−0.114622	−	0.253060i
$412$	200.002	+	203.551i	0.485442	+	0.494055i
$413$	−997.991	+	997.991i	−2.41644	+	2.41644i
$414$	521.867	−	101.286i	1.26055	−	0.244653i
$415$	109.724			0.264396
$416$	50.7757	−	115.345i	0.122057	−	0.277272i
$417$	245.397	−	201.341i	0.588482	−	0.482831i
$418$	96.2488	+	235.286i	0.230260	+	0.562884i
$419$	32.3925	+	8.67955i	0.0773091	+	0.0207149i	0.297266	−	0.954795i	$-0.403925\pi$
$419$	32.3925	+	8.67955i	0.0773091	+	0.0207149i	−0.219957	+	0.975510i	$0.570592\pi$
$420$	557.795	−	246.761i	1.32808	−	0.587527i
$421$	−8.51544	−	31.7801i	−0.0202267	−	0.0754871i	0.955075	−	0.296365i	$-0.0957745\pi$
$421$	−8.51544	−	31.7801i	−0.0202267	−	0.0754871i	−0.975301	+	0.220878i	$0.929108\pi$
$422$	−132.403	+	100.675i	−0.313752	+	0.238566i
$423$	19.6686	−	98.7509i	0.0464979	−	0.233454i
$424$	49.8031	−	19.8637i	0.117460	−	0.0468484i
$425$	−111.957	+	193.915i	−0.263429	+	0.456272i
$426$	629.587	−	187.878i	1.47790	−	0.441029i
$427$	472.724	+	126.666i	1.10708	+	0.296642i
$428$	−4.68017	+	7.94416i	−0.0109350	+	0.0185611i
$429$	−44.1871	−	31.6724i	−0.103000	−	0.0738285i
$430$	−133.336	−	103.247i	−0.310083	−	0.240109i
$431$		−	384.112i		−	0.891212i	−0.895229	−	0.445606i	$-0.852988\pi$
$431$		−	384.112i		−	0.891212i	0.895229	−	0.445606i	$-0.147012\pi$
$432$	422.409	−	90.5243i	0.977799	−	0.209547i
$433$	−306.958			−0.708909			−0.354454	−	0.935073i	$-0.615333\pi$
$433$	−306.958			−0.708909			−0.354454	+	0.935073i	$0.615333\pi$
$434$	199.011	−	257.009i	0.458551	−	0.592186i
$435$	−143.637	+	200.393i	−0.330201	+	0.460673i
$436$	−256.925	+	436.106i	−0.589278	+	1.00024i
$437$	−211.146	+	788.008i	−0.483172	+	1.80322i
$438$	3.04365	+	10.1994i	0.00694897	+	0.0232862i
$439$	230.796	+	133.250i	0.525730	+	0.303531i	0.739276	−	0.673402i	$-0.235168\pi$
$439$	230.796	+	133.250i	0.525730	+	0.303531i	−0.213546	+	0.976933i	$0.568501\pi$
$440$	−127.190	−	54.6602i	−0.289069	−	0.124228i
$441$	793.438	−	904.284i	1.79918	−	2.05053i
$442$	−98.3251	−	129.313i	−0.222455	−	0.292563i
$443$	−225.626	+	60.4564i	−0.509315	+	0.136470i	−0.504320	−	0.863517i	$-0.668257\pi$
$443$	−225.626	+	60.4564i	−0.509315	+	0.136470i	−0.00499498	+	0.999988i	$0.501590\pi$
$444$	−319.828	+	141.488i	−0.720332	+	0.318666i
$445$	−16.2184	+	60.5280i	−0.0364459	+	0.136018i
$446$	−724.662	+	296.439i	−1.62480	+	0.664662i
$447$	257.708	+	314.098i	0.576527	+	0.702681i
$448$	−201.762	−	841.134i	−0.450362	−	1.87753i
$449$			129.607i			0.288658i	0.989530	+	0.144329i	$0.0461024\pi$
$449$			129.607i			0.288658i	−0.989530	+	0.144329i	$0.953898\pi$
$450$	−147.525	+	128.168i	−0.327834	+	0.284818i
$451$	141.621	+	141.621i	0.314015	+	0.314015i
$452$	−233.857	−	238.006i	−0.517382	−	0.526562i
$453$	160.852	−	72.8568i	0.355082	−	0.160832i
$454$	−253.821	+	605.239i	−0.559078	+	1.33313i
$455$	−100.089	−	173.359i	−0.219976	−	0.381010i
$456$	−159.123	+	643.572i	−0.348955	+	1.41134i
$457$	−752.040	−	434.191i	−1.64560	−	0.950089i	−0.978791	−	0.204862i	$-0.934325\pi$
$457$	−752.040	−	434.191i	−1.64560	−	0.950089i	−0.666811	−	0.745227i	$-0.732341\pi$
$458$	237.062	+	311.774i	0.517602	+	0.680728i
$459$	161.847	−	532.813i	0.352607	−	1.16081i
$460$	−218.744	−	386.689i	−0.475531	−	0.840628i
$461$	−109.077	−	407.080i	−0.236609	−	0.883036i	−0.977417	−	0.211320i	$-0.932224\pi$
$461$	−109.077	−	407.080i	−0.236609	−	0.883036i	0.740808	−	0.671717i	$-0.234443\pi$
$462$	−372.997	+	10.5223i	−0.807353	+	0.0227756i
$463$	126.179	+	218.548i	0.272525	+	0.472027i	0.969508	−	0.245061i	$-0.0788080\pi$
$463$	126.179	+	218.548i	0.272525	+	0.472027i	−0.696983	+	0.717088i	$0.745475\pi$
$464$	242.857	+	251.552i	0.523399	+	0.542138i
$465$	47.8057	−	126.968i	0.102808	−	0.273050i
$466$	394.791	+	305.701i	0.847192	+	0.656011i
$467$	461.897	−	461.897i	0.989072	−	0.989072i	−0.0108692	−	0.999941i	$-0.503460\pi$
$467$	461.897	−	461.897i	0.989072	−	0.989072i	0.999941	+	0.0108692i	$0.00345983\pi$
$468$	−44.3575	−	134.662i	−0.0947809	−	0.287739i
$469$	643.427	−	643.427i	1.37191	−	1.37191i
$470$	−83.4765	+	10.6167i	−0.177609	+	0.0225888i
$471$	115.355	+	140.596i	0.244914	+	0.298505i
$472$	656.008	+	517.261i	1.38985	+	1.09589i
$473$	51.5838	+	89.3458i	0.109057	+	0.188892i
$474$	−141.147	+	593.203i	−0.297778	+	1.25148i
$475$	−77.6199	−	289.681i	−0.163410	−	0.609855i
$476$	−1074.41	−	298.038i	−2.25717	−	0.626129i
$477$	26.6927	−	54.0931i	0.0559595	−	0.113403i
$478$	−186.284	−	25.3584i	−0.389716	−	0.0530511i
$479$	−21.5106	−	12.4191i	−0.0449073	−	0.0259272i	0.477378	−	0.878698i	$-0.341587\pi$
$479$	−21.5106	−	12.4191i	−0.0449073	−	0.0259272i	−0.522286	+	0.852771i	$0.674920\pi$
$480$	−183.825	−	310.727i	−0.382968	−	0.647348i
$481$	57.3890	+	99.4006i	0.119312	+	0.206654i
$482$	19.5074	−	7.97993i	0.0404717	−	0.0165559i
$483$	−973.286	−	697.632i	−2.01508	−	1.44437i
$484$	−279.859	−	284.824i	−0.578222	−	0.588480i
$485$	271.096	+	271.096i	0.558960	+	0.558960i
$486$	285.066	−	393.616i	0.586555	−	0.809909i
$487$		−	687.253i		−	1.41120i	−0.708612	−	0.705598i	$-0.750678\pi$
$487$		−	687.253i		−	1.41120i	0.708612	−	0.705598i	$-0.249322\pi$
$488$	41.5955	−	286.680i	0.0852367	−	0.587458i
$489$	129.196	−	21.3137i	0.264206	−	0.0435864i
$490$	−927.160	−	388.826i	−1.89216	−	0.793523i
$491$	11.1092	−	41.4599i	0.0226256	−	0.0844398i	−0.953690	−	0.300792i	$-0.902749\pi$
$491$	11.1092	−	41.4599i	0.0226256	−	0.0844398i	0.976315	+	0.216352i	$0.0694158\pi$
$492$	80.4828	+	516.073i	0.163583	+	1.04893i
$493$	435.350	−	116.652i	0.883062	−	0.236616i
$494$	215.588	+	29.3475i	0.436413	+	0.0594079i
$495$	−147.490	+	50.0248i	−0.297960	+	0.101060i
$496$	−164.908	−	99.1161i	−0.332475	−	0.199831i
$497$	−1281.72	−	740.001i	−2.57891	−	1.48893i
$498$	−91.7692	−	149.076i	−0.184276	−	0.299349i
$499$	−114.033	+	425.576i	−0.228522	+	0.852857i	0.752440	+	0.658660i	$0.228877\pi$
$499$	−114.033	+	425.576i	−0.228522	+	0.852857i	−0.980963	+	0.194196i	$0.937790\pi$
$500$	464.738	+	273.793i	0.929477	+	0.547586i
$501$	−465.468	−	45.9037i	−0.929078	−	0.0916242i
$502$	−88.3640	−	694.781i	−0.176024	−	1.38403i
$503$	934.418			1.85769			0.928845	−	0.370469i	$-0.120803\pi$
$503$	934.418			1.85769			0.928845	+	0.370469i	$0.120803\pi$
$504$	−801.779	−	551.462i	−1.59083	−	1.09417i
$505$		−	15.6300i		−	0.0309505i
$506$	34.2912	+	269.622i	0.0677692	+	0.532850i
$507$	419.448	−	189.986i	0.827314	−	0.374726i
$508$	−214.345	−	829.036i	−0.421939	−	1.63196i
$509$	387.712	+	103.887i	0.761712	+	0.204100i	0.618707	−	0.785622i	$-0.287657\pi$
$509$	387.712	+	103.887i	0.761712	+	0.204100i	0.143005	+	0.989722i	$0.454323\pi$
$510$	−465.186	+	13.1230i	−0.912129	+	0.0257314i
$511$	11.9881	−	20.7640i	0.0234600	−	0.0406340i
$512$	−480.407	+	177.069i	−0.938294	+	0.345838i
$513$	351.329	+	657.888i	0.684852	+	1.28243i
$514$	79.0883	+	10.7661i	0.153868	+	0.0209457i
$515$	−69.4402	−	259.154i	−0.134835	−	0.503212i
$516$	−28.7583	+	267.508i	−0.0557331	+	0.518425i
$517$	49.7260	+	13.3240i	0.0961818	+	0.0257718i
$518$	726.490	+	304.671i	1.40249	+	0.588168i
$519$	−183.210	−	68.9818i	−0.353007	−	0.132913i
$520$	−94.9458	+	70.8847i	−0.182588	+	0.136317i
$521$	−362.328			−0.695446			−0.347723	−	0.937597i	$-0.613045\pi$
$521$	−362.328			−0.695446			−0.347723	+	0.937597i	$0.613045\pi$
$522$	392.395	+	27.5512i	0.751714	+	0.0527800i
$523$	672.581	−	672.581i	1.28600	−	1.28600i	0.348812	−	0.937193i	$-0.386585\pi$
$523$	672.581	−	672.581i	1.28600	−	1.28600i	0.937193	−	0.348812i	$-0.113415\pi$
$524$	2.97437	−	338.271i	0.00567629	−	0.645556i
$525$	438.086	+	43.2033i	0.834449	+	0.0822920i
$526$	302.105	−	123.583i	0.574344	−	0.234948i
$527$	−214.781	+	124.004i	−0.407554	+	0.235302i
$528$	32.1135	+	218.522i	0.0608211	+	0.413867i
$529$	−171.617	+	297.249i	−0.324418	+	0.561908i
$530$	−49.9503	−	6.79961i	−0.0942458	−	0.0128295i
$531$	937.837	−	61.2321i	1.76617	−	0.115315i
$532$	1299.80	−	735.279i	2.44323	−	1.38210i
$533$	165.578	−	44.3665i	0.310653	−	0.0832393i
$534$	95.8005	−	28.5883i	0.179402	−	0.0535362i
$535$	7.50736	−	4.33437i	0.0140324	−	0.00810163i
$536$	−422.943	−	333.489i	−0.789073	−	0.622181i
$537$	96.1970	+	583.113i	0.179138	+	1.08587i
$538$	−66.0819	+	8.40447i	−0.122829	+	0.0156217i
$539$	434.922	+	434.922i	0.806905	+	0.806905i
$540$	−387.572	−	121.461i	−0.717727	−	0.224927i
$541$	−387.728	−	387.728i	−0.716687	−	0.716687i	0.251238	−	0.967925i	$-0.419162\pi$
$541$	−387.728	−	387.728i	−0.716687	−	0.716687i	−0.967925	+	0.251238i	$0.919162\pi$
$542$	195.804	+	151.618i	0.361262	+	0.279738i
$543$	−17.0200	−	103.169i	−0.0313443	−	0.189998i
$544$	−100.505	+	652.275i	−0.184752	+	1.19903i
$545$	412.128	−	237.942i	0.756198	−	0.436591i
$546$	−151.823	+	280.977i	−0.278064	+	0.514609i
$547$	−495.693	+	132.820i	−0.906202	+	0.242816i	−0.681678	−	0.731652i	$-0.738749\pi$
$547$	−495.693	+	132.820i	−0.906202	+	0.242816i	−0.224524	+	0.974469i	$0.572083\pi$
$548$	146.700	+	40.6938i	0.267700	+	0.0742588i
$549$	−180.987	−	271.015i	−0.329668	−	0.493651i
$550$	−60.4752	−	79.5343i	−0.109955	−	0.144608i
$551$	−301.828	+	522.781i	−0.547782	+	0.948786i
$552$	−342.422	+	620.607i	−0.620331	+	1.12429i
$553$	1189.53	−	686.773i	2.15104	−	1.24191i
$554$	165.329	−	394.229i	0.298428	−	0.711605i
$555$	327.219	+	32.2698i	0.589584	+	0.0581439i
$556$	−3.72127	+	423.215i	−0.00669294	+	0.761178i
$557$	0.0124673	−	0.0124673i	2.23829e−5	−	2.23829e-5i	−0.707096	−	0.707118i	$-0.749995\pi$
$557$	0.0124673	−	0.0124673i	2.23829e−5	−	2.23829e-5i	0.707118	+	0.707096i	$0.249995\pi$
$558$	−212.487	+	41.2406i	−0.380801	+	0.0739078i
$559$	88.3001			0.157961
$560$	−224.266	+	781.719i	−0.400475	+	1.39593i
$561$	266.442	+	100.320i	0.474941	+	0.178823i
$562$	−464.521	+	190.023i	−0.826551	+	0.338119i
$563$	−628.979	−	168.535i	−1.11719	−	0.299351i	−0.347446	−	0.937700i	$-0.612951\pi$
$563$	−628.979	−	168.535i	−1.11719	−	0.299351i	−0.769747	+	0.638349i	$0.779618\pi$
$564$	84.2409	+	104.535i	0.149363	+	0.185346i
$565$	81.1944	+	303.021i	0.143707	+	0.536321i
$566$	567.752	+	746.683i	1.00309	+	1.31923i
$567$	−1085.46	+	142.348i	−1.91440	+	0.251055i
$568$	−345.887	+	804.854i	−0.608956	+	1.41700i
$569$	−180.813	+	313.177i	−0.317773	+	0.550400i	−0.980023	−	0.198884i	$-0.936268\pi$
$569$	−180.813	+	313.177i	−0.317773	+	0.550400i	0.662250	+	0.749283i	$0.269602\pi$
$570$	428.133	−	452.990i	0.751110	−	0.794718i
$571$	−480.173	−	128.662i	−0.840933	−	0.225327i	−0.187455	−	0.982273i	$-0.560024\pi$
$571$	−480.173	−	128.662i	−0.840933	−	0.225327i	−0.653478	+	0.756946i	$0.726691\pi$
$572$	70.1801	−	18.1449i	0.122692	−	0.0317218i
$573$	852.526	−	386.145i	1.48783	−	0.673901i
$574$	720.336	−	930.264i	1.25494	−	1.62067i
$575$		−	320.644i		−	0.557641i
$576$	−268.423	+	509.632i	−0.466012	+	0.884778i
$577$	−617.407			−1.07003			−0.535015	−	0.844843i	$-0.679694\pi$
$577$	−617.407			−1.07003			−0.535015	+	0.844843i	$0.679694\pi$
$578$	215.623	+	166.965i	0.373050	+	0.288866i
$579$	−85.9275	−	8.47404i	−0.148407	−	0.0146356i
$580$	−82.2886	−	318.273i	−0.141877	−	0.548747i
$581$	−102.061	+	380.897i	−0.175664	+	0.655588i
$582$	141.588	−	595.056i	0.243278	−	1.02243i
$583$	26.7083	+	15.4201i	0.0458119	+	0.0264495i
$584$	−13.0387	−	5.60340i	−0.0223266	−	0.00959487i
$585$	−26.0382	+	130.731i	−0.0445097	+	0.223472i
$586$	−705.830	+	536.689i	−1.20449	+	0.915851i
$587$	−295.359	+	79.1411i	−0.503166	+	0.134823i	−0.501469	−	0.865176i	$-0.667207\pi$
$587$	−295.359	+	79.1411i	−0.503166	+	0.134823i	−0.00169720	+	0.999999i	$0.500540\pi$
$588$	247.166	+	1584.88i	0.420350	+	2.69537i
$589$	85.9719	−	320.851i	0.145962	−	0.544739i
$590$	−297.380	−	726.962i	−0.504034	−	1.23214i
$591$	465.853	−	76.8525i	0.788246	−	0.130038i
$592$	128.589	−	448.221i	0.217212	−	0.757130i
$593$			446.844i			0.753531i	0.926309	+	0.376766i	$0.122964\pi$
$593$			446.844i			0.753531i	−0.926309	+	0.376766i	$0.877036\pi$
$594$	191.321	+	158.548i	0.322089	+	0.266915i
$595$	741.252	+	741.252i	1.24580	+	1.24580i
$596$	−541.698	−	4.76308i	−0.908889	−	0.00799174i
$597$	−714.002	−	511.782i	−1.19598	−	0.857257i
$598$	214.525	+	89.9660i	0.358737	+	0.150445i
$599$	377.213	+	653.352i	0.629738	+	1.09074i	0.987604	+	0.156965i	$0.0501709\pi$
$599$	377.213	+	653.352i	0.629738	+	1.09074i	−0.357867	+	0.933773i	$0.616496\pi$
$600$	−5.05730	−	260.517i	−0.00842884	−	0.434194i
$601$	141.453	+	81.6677i	0.235362	+	0.135886i	0.613043	−	0.790049i	$-0.289945\pi$
$601$	141.453	+	81.6677i	0.235362	+	0.135886i	−0.377681	+	0.925936i	$0.623278\pi$
$602$	482.434	−	366.826i	0.801386	−	0.609346i
$603$	−604.644	+	39.4776i	−1.00273	+	0.0654687i
$604$	−62.9346	+	226.877i	−0.104196	+	0.375624i
$605$	97.1663	+	362.629i	0.160605	+	0.599387i
$606$	−21.2356	+	13.0723i	−0.0350422	+	0.0215715i
$607$	188.177	+	325.932i	0.310012	+	0.536956i	0.978365	−	0.206888i	$-0.0663337\pi$
$607$	188.177	+	325.932i	0.310012	+	0.536956i	−0.668353	+	0.743844i	$0.733000\pi$
$608$	−522.562	−	712.931i	−0.859477	−	1.17258i
$609$	−562.037	−	685.020i	−0.922886	−	1.12483i
$610$	−166.747	+	215.342i	−0.273355	+	0.353019i
$611$	31.1561	−	31.1561i	0.0509919	−	0.0509919i
$612$	406.893	+	621.046i	0.664858	+	1.01478i
$613$	611.706	−	611.706i	0.997889	−	0.997889i	−0.00210871	−	0.999998i	$-0.500671\pi$
$613$	611.706	−	611.706i	0.997889	−	0.997889i	0.999998	+	0.00210871i	$0.000671224\pi$
$614$	130.810	+	1028.52i	0.213045	+	1.67511i
$615$	173.036	−	459.572i	0.281360	−	0.747271i
$616$	308.055	−	390.686i	0.500089	−	0.634230i
$617$	−138.023	−	239.063i	−0.223700	−	0.387460i	0.732229	−	0.681059i	$-0.238480\pi$
$617$	−138.023	−	239.063i	−0.223700	−	0.387460i	−0.955929	+	0.293599i	$0.905147\pi$
$618$	−294.021	+	311.091i	−0.475762	+	0.503384i
$619$	186.700	+	696.776i	0.301616	+	1.12565i	0.935819	+	0.352480i	$0.114662\pi$
$619$	186.700	+	696.776i	0.301616	+	1.12565i	−0.634203	+	0.773167i	$0.718672\pi$
$620$	89.0656	+	157.447i	0.143654	+	0.253947i
$621$	180.779	+	776.645i	0.291110	+	1.25064i
$622$	−34.6522	+	254.557i	−0.0557109	+	0.409255i
$623$	−195.031	−	112.601i	−0.313052	−	0.180741i
$624$	175.716	+	69.7121i	0.281596	+	0.111718i
$625$	−117.852	−	204.126i	−0.188564	−	0.326602i
$626$	−12.0723	−	29.5114i	−0.0192848	−	0.0471429i
$627$	−347.347	+	157.328i	−0.553982	+	0.250922i
$628$	−242.474	−	2.13204i	−0.386105	−	0.00339497i
$629$	−425.018	−	425.018i	−0.675705	−	0.675705i
$630$	400.836	+	822.429i	0.636247	+	1.30544i
$631$		−	297.020i		−	0.470714i	−0.971909	−	0.235357i	$-0.924374\pi$
$631$		−	297.020i		−	0.470714i	0.971909	−	0.235357i	$-0.0756259\pi$
$632$	−486.384	−	651.482i	−0.769595	−	1.03083i
$633$	−158.255	−	192.883i	−0.250007	−	0.304713i
$634$	99.8563	−	238.108i	0.157502	−	0.375565i
$635$	−208.369	+	777.643i	−0.328140	+	1.22463i
$636$	32.5383	+	73.5515i	0.0511608	+	0.115647i
$637$	508.496	−	136.251i	0.798268	−	0.213895i
$638$	−27.1270	+	199.276i	−0.0425188	+	0.312345i
$639$	316.555	+	933.311i	0.495391	+	1.46058i
$640$	475.096	+	77.4869i	0.742337	+	0.121073i
$641$	942.150	+	543.951i	1.46981	+	0.848597i	0.999426	−	0.0338631i	$-0.0107810\pi$
$641$	942.150	+	543.951i	1.46981	+	0.848597i	0.470387	+	0.882460i	$0.344114\pi$
$642$	−12.1677	−	6.57471i	−0.0189529	−	0.0102410i
$643$	92.0252	−	343.443i	0.143119	−	0.534126i	−0.856713	−	0.515793i	$-0.827497\pi$
$643$	92.0252	−	343.443i	0.143119	−	0.534126i	0.999832	−	0.0183329i	$-0.00583588\pi$
$644$	1545.82	−	399.667i	2.40034	−	0.620601i
$645$	147.367	−	205.595i	0.228475	−	0.318752i
$646$	−1130.30	+	143.754i	−1.74968	+	0.222529i
$647$	335.860			0.519104			0.259552	−	0.965729i	$-0.416425\pi$
$647$	335.860			0.519104			0.259552	+	0.965729i	$0.416425\pi$
$648$	159.129	+	628.158i	0.245570	+	0.969379i
$649$			480.509i			0.740384i
$650$	−84.8327	+	10.7892i	−0.130512	+	0.0165988i
$651$	396.290	+	284.053i	0.608741	+	0.436334i
$652$	−88.6212	+	150.426i	−0.135922	+	0.230715i
$653$	−983.902	−	263.636i	−1.50674	−	0.403730i	−0.591389	−	0.806386i	$-0.701420\pi$
$653$	−983.902	−	263.636i	−1.50674	−	0.403730i	−0.915351	+	0.402656i	$0.868087\pi$
$654$	−667.966	−	360.929i	−1.02136	−	0.551878i
$655$	−159.025	+	275.439i	−0.242786	+	0.420517i
$656$	−596.897	−	358.759i	−0.909903	−	0.546889i
$657$	−15.1197	+	5.12821i	−0.0230133	+	0.00780550i
$658$	40.7914	−	299.656i	0.0619930	−	0.455404i
$659$	195.721	+	730.439i	0.296996	+	1.10841i	0.939619	+	0.342223i	$0.111180\pi$
$659$	195.721	+	730.439i	0.296996	+	1.10841i	−0.642622	+	0.766183i	$0.722154\pi$
$660$	74.8776	−	193.688i	0.113451	−	0.293466i
$661$	219.351	+	58.7750i	0.331847	+	0.0889183i	0.420896	−	0.907109i	$-0.361716\pi$
$661$	219.351	+	58.7750i	0.331847	+	0.0889183i	−0.0890482	+	0.996027i	$0.528383\pi$
$662$	−413.705	+	986.483i	−0.624932	+	1.49016i
$663$	188.382	−	154.561i	0.284135	−	0.233124i
$664$	230.992	+	33.5155i	0.347879	+	0.0504752i
$665$	−1404.03			−2.11132
$666$	−229.831	−	471.563i	−0.345091	−	0.708053i
$667$	−456.373	+	456.373i	−0.684218	+	0.684218i
$668$	444.837	−	437.082i	0.665923	−	0.654315i
$669$	−484.559	−	1069.80i	−0.724304	−	1.59911i
$670$	191.727	+	468.688i	0.286160	+	0.699535i
$671$	144.296	−	83.3094i	0.215046	−	0.124157i
$672$	1249.64	−	349.103i	1.85959	−	0.519498i
$673$	−265.670	+	460.154i	−0.394755	+	0.683736i	−0.993070	−	0.117525i	$-0.962504\pi$
$673$	−265.670	+	460.154i	−0.394755	+	0.683736i	0.598315	+	0.801261i	$0.295837\pi$
$674$	88.8989	−	653.056i	0.131897	−	0.968925i
$675$	−200.305	−	214.025i	−0.296748	−	0.317075i
$676$	−164.112	+	591.618i	−0.242770	+	0.875175i
$677$	−897.217	+	240.408i	−1.32528	+	0.355108i	−0.850954	−	0.525239i	$-0.823976\pi$
$677$	−897.217	+	240.408i	−1.32528	+	0.355108i	−0.474328	+	0.880348i	$0.657309\pi$
$678$	343.790	−	363.750i	0.507065	−	0.536504i
$679$	−1193.24	+	688.920i	−1.75736	+	1.01461i
$680$	384.193	−	487.247i	0.564989	−	0.716539i
$681$	−921.320	−	346.892i	−1.35289	−	0.509387i
$682$	−13.9623	−	109.781i	−0.0204726	−	0.160970i
$683$	571.659	+	571.659i	0.836983	+	0.836983i	0.988461	−	0.151478i	$-0.0484032\pi$
$683$	571.659	+	571.659i	0.836983	+	0.836983i	−0.151478	+	0.988461i	$0.548403\pi$
$684$	−973.525	−	202.816i	−1.42328	−	0.296515i
$685$	−101.210	−	101.210i	−0.147752	−	0.147752i
$686$	1401.25	−	1809.61i	2.04264	−	2.63792i
$687$	−454.188	+	372.647i	−0.661118	+	0.542426i
$688$	−249.162	−	258.083i	−0.362154	−	0.375121i
$689$	22.8594	−	13.1979i	0.0331776	−	0.0191551i
$690$	567.500	−	349.346i	0.822464	−	0.506298i
$691$	111.644	−	29.9150i	0.161569	−	0.0432923i	−0.177128	−	0.984188i	$-0.556681\pi$
$691$	111.644	−	29.9150i	0.161569	−	0.0432923i	0.338697	+	0.940896i	$0.390014\pi$
$692$	227.191	−	128.518i	0.328310	−	0.185720i
$693$	−36.4668	−	558.529i	−0.0526216	−	0.805958i
$694$	−445.486	+	338.732i	−0.641910	+	0.488086i
$695$	198.957	−	344.604i	0.286270	−	0.495834i
$696$	−363.596	+	377.993i	−0.522409	+	0.543093i
$697$	−777.418	+	448.842i	−1.11538	+	0.643963i
$698$	202.489	+	84.9186i	0.290099	+	0.121660i
$699$	−436.334	+	608.742i	−0.624227	+	0.870876i
$700$	−418.668	+	411.369i	−0.598097	+	0.587671i
$701$	596.231	−	596.231i	0.850543	−	0.850543i	−0.139657	−	0.990200i	$-0.544600\pi$
$701$	596.231	−	596.231i	0.850543	−	0.850543i	0.990200	+	0.139657i	$0.0446000\pi$
$702$	199.394	−	73.9618i	0.284037	−	0.105359i
$703$	805.040			1.14515
$704$	−251.065	−	153.921i	−0.356627	−	0.218638i
$705$	−20.5455	−	124.540i	−0.0291426	−	0.176652i
$706$	−173.085	−	423.115i	−0.245162	−	0.599313i
$707$	54.2580	+	14.5384i	0.0767440	+	0.0205635i
$708$	−738.964	+	1012.04i	−1.04373	+	1.42943i
$709$	150.390	+	561.265i	0.212116	+	0.791629i	0.987162	+	0.159723i	$0.0510602\pi$
$709$	150.390	+	561.265i	0.212116	+	0.791629i	−0.775046	+	0.631905i	$0.782273\pi$
$710$	655.626	−	498.515i	0.923417	−	0.702134i
$711$	−897.026	−	178.664i	−1.26164	−	0.251286i
$712$	−52.6315	+	122.470i	−0.0739207	+	0.172008i
$713$	177.573	−	307.565i	0.249050	−	0.431367i
$714$	387.141	−	1627.05i	0.542215	−	2.27879i
$715$	−65.8295	−	17.6390i	−0.0920693	−	0.0246699i
$716$	−678.931	−	399.981i	−0.948228	−	0.558633i
$717$	27.6765	−	280.642i	0.0386004	−	0.391411i
$718$	376.726	+	291.712i	0.524687	+	0.406284i
$719$			240.698i			0.334768i	0.985892	+	0.167384i	$0.0535320\pi$
$719$			240.698i			0.334768i	−0.985892	+	0.167384i	$0.946468\pi$
$720$	455.573	−	292.787i	0.632740	−	0.406649i
$721$	964.219			1.33734
$722$	492.279	−	635.744i	0.681827	−	0.880532i
$723$	13.0440	+	28.7983i	0.0180415	+	0.0398317i
$724$	120.122	+	70.7680i	0.165915	+	0.0977459i
$725$	61.4075	−	229.176i	0.0846999	−	0.316105i
$726$	411.418	−	435.304i	0.566691	−	0.599592i
$727$	−273.329	−	157.807i	−0.375969	−	0.217066i	0.300094	−	0.953910i	$-0.402982\pi$
$727$	−273.329	−	157.807i	−0.375969	−	0.217066i	−0.676063	+	0.736844i	$0.736315\pi$
$728$	−157.755	−	395.529i	−0.216696	−	0.543309i
$729$	605.835	+	405.468i	0.831050	+	0.556198i
$730$	8.07600	+	10.6212i	0.0110630	+	0.0145496i
$731$	−446.652	+	119.680i	−0.611015	+	0.163721i
$732$	432.033	+	46.4455i	0.590209	+	0.0634501i
$733$	175.311	−	654.270i	0.239169	−	0.892592i	−0.737056	−	0.675832i	$-0.763784\pi$
$733$	175.311	−	654.270i	0.239169	−	0.892592i	0.976225	−	0.216760i	$-0.0695489\pi$
$734$	−311.290	+	127.340i	−0.424101	+	0.173488i
$735$	531.401	−	1411.36i	0.722995	−	1.92022i
$736$	−342.386	−	880.874i	−0.465198	−	1.19684i
$737$		−	309.795i		−	0.420346i
$738$	−769.115	+	149.274i	−1.04216	+	0.202268i
$739$	438.957	+	438.957i	0.593987	+	0.593987i	0.938706	−	0.344719i	$-0.112026\pi$
$739$	438.957	+	438.957i	0.593987	+	0.593987i	−0.344719	+	0.938706i	$0.612026\pi$
$740$	−312.716	+	307.264i	−0.422589	+	0.415222i
$741$	−32.0302	+	324.789i	−0.0432256	+	0.438312i
$742$	70.0659	−	167.073i	0.0944284	−	0.225165i
$743$	−334.474	−	579.327i	−0.450168	−	0.779713i	0.548228	−	0.836329i	$-0.315302\pi$
$743$	−334.474	−	579.327i	−0.450168	−	0.779713i	−0.998396	+	0.0566155i	$0.981969\pi$
$744$	139.423	−	252.691i	0.187397	−	0.339639i
$745$	441.080	+	254.657i	0.592053	+	0.341822i
$746$	737.043	+	969.327i	0.987993	+	1.29937i
$747$	218.370	−	145.830i	0.292329	−	0.195222i
$748$	−330.402	+	186.903i	−0.441713	+	0.249871i
$749$	8.06332	+	30.0927i	0.0107654	+	0.0401772i
$750$	−384.625	+	711.821i	−0.512833	+	0.949094i
$751$	64.0118	+	110.872i	0.0852355	+	0.147632i	0.905492	−	0.424364i	$-0.139502\pi$
$751$	64.0118	+	110.872i	0.0852355	+	0.147632i	−0.820256	+	0.571997i	$0.806169\pi$
$752$	−178.978	−	3.14770i	−0.238002	−	0.00418577i
$753$	1036.56	−	171.002i	1.37657	−	0.227094i
$754$	136.099	+	105.386i	0.180503	+	0.139770i
$755$	156.525	−	156.525i	0.207318	−	0.207318i
$756$	782.143	−	1232.44i	1.03458	−	1.63021i
$757$	−515.217	+	515.217i	−0.680604	+	0.680604i	−0.960136	−	0.279532i	$-0.909821\pi$
$757$	−515.217	+	515.217i	−0.680604	+	0.680604i	0.279532	+	0.960136i	$0.409821\pi$
$758$	896.543	−	114.025i	1.18278	−	0.150428i
$759$	−402.254	+	66.3604i	−0.529979	+	0.0874314i
$760$	97.5990	+	825.310i	0.128420	+	1.08593i
$761$	446.450	+	773.275i	0.586663	+	1.01613i	0.994666	+	0.103149i	$0.0328919\pi$
$761$	446.450	+	773.275i	0.586663	+	1.01613i	−0.408003	+	0.912981i	$0.633775\pi$
$762$	1230.81	−	367.293i	1.61524	−	0.482011i
$763$	442.648	+	1651.98i	0.580141	+	2.16512i
$764$	−333.557	+	1202.46i	−0.436593	+	1.57390i
$765$	−45.4798	−	696.573i	−0.0594507	−	0.910553i
$766$	−509.249	−	69.3228i	−0.664815	−	0.0904997i
$767$	356.164	+	205.631i	0.464360	+	0.268098i
$768$	−292.075	−	710.293i	−0.380306	−	0.924861i
$769$	−310.380	−	537.594i	−0.403615	−	0.699082i	0.590544	−	0.807005i	$-0.298913\pi$
$769$	−310.380	−	537.594i	−0.403615	−	0.699082i	−0.994159	+	0.107924i	$0.965580\pi$
$770$	−432.942	+	177.105i	−0.562263	+	0.230006i
$771$	−11.7503	+	119.149i	−0.0152403	+	0.154538i
$772$	82.1188	−	80.6873i	0.106372	−	0.104517i
$773$	−710.034	−	710.034i	−0.918544	−	0.918544i	0.0783797	−	0.996924i	$-0.475025\pi$
$773$	−710.034	−	710.034i	−0.918544	−	0.918544i	−0.996924	+	0.0783797i	$0.975025\pi$
$774$	−402.582	−	28.2664i	−0.520132	−	0.0365199i
$775$			130.556i			0.168459i
$776$	487.904	+	653.518i	0.628743	+	0.842163i
$777$	−416.387	+	1105.89i	−0.535891	+	1.42329i
$778$	−435.096	−	182.468i	−0.559249	−	0.234534i
$779$	311.182	−	1161.35i	0.399464	−	1.49082i
$780$	−111.522	−	138.389i	−0.142977	−	0.177421i
$781$	−486.705	+	130.412i	−0.623182	+	0.166981i
$782$	−1207.08	−	164.317i	−1.54358	−	0.210124i
$783$	−19.5282	+	589.718i	−0.0249402	+	0.753152i
$784$	−1833.09	−	1101.76i	−2.33813	−	1.40531i
$785$	197.435	+	113.989i	0.251510	+	0.145209i
$786$	507.225	−	14.3090i	0.645324	−	0.0182048i
$787$	153.286	−	572.073i	0.194773	−	0.726903i	−0.797552	−	0.603250i	$-0.793872\pi$
$787$	153.286	−	572.073i	0.194773	−	0.726903i	0.992325	−	0.123654i	$-0.0394611\pi$
$788$	−319.548	+	542.403i	−0.405518	+	0.688329i
$789$	202.008	+	445.991i	0.256031	+	0.565261i
$790$	96.4397	+	758.277i	0.122076	+	0.959845i
$791$	−1127.43			−1.42533
$792$	−325.777	+	60.2610i	−0.411335	+	0.0760872i
$793$		−	142.607i		−	0.179833i
$794$	61.0807	+	480.260i	0.0769278	+	0.604861i
$795$	7.42117	−	75.2514i	0.00933481	−	0.0946558i
$796$	1134.01	−	293.195i	1.42464	−	0.368336i
$797$	883.334	+	236.689i	1.10832	+	0.296974i	0.766150	−	0.642662i	$-0.222170\pi$
$797$	883.334	+	236.689i	1.10832	+	0.296974i	0.342174	+	0.939637i	$0.388837\pi$
$798$	1174.28	+	1907.57i	1.47152	+	2.39044i
$799$	−115.370	+	199.826i	−0.144393	+	0.250095i
$800$	270.912	+	217.504i	0.338641	+	0.271880i
$801$	48.1682	+	142.016i	0.0601351	+	0.177299i
$802$	−385.861	−	52.5264i	−0.481124	−	0.0654943i
$803$	−2.11269	−	7.88467i	−0.00263100	−	0.00981902i
$804$	476.427	−	652.483i	0.592570	−	0.811545i
$805$	−1449.99	−	388.524i	−1.80123	−	0.482639i
$806$	−87.3475	−	36.6312i	−0.108372	−	0.0454482i
$807$	−16.2643	−	98.5888i	−0.0201541	−	0.122167i
$808$	4.77422	−	32.9043i	0.00590869	−	0.0407231i
$809$	1530.74			1.89213			0.946066	−	0.323973i	$-0.105019\pi$
$809$	1530.74			1.89213			0.946066	+	0.323973i	$0.105019\pi$
$810$	160.564	−	587.699i	0.198227	−	0.725555i
$811$	747.614	−	747.614i	0.921842	−	0.921842i	−0.0753177	−	0.997160i	$-0.523997\pi$
$811$	747.614	−	747.614i	0.921842	−	0.921842i	0.997160	+	0.0753177i	$0.0239971\pi$
$812$	1181.40	+	10.3878i	1.45492	+	0.0127929i
$813$	−216.408	+	301.917i	−0.266185	+	0.371361i
$814$	248.240	−	101.548i	0.304963	−	0.124752i
$815$	142.155	−	82.0734i	0.174424	−	0.100704i
$816$	−983.318	−	114.466i	−1.20505	−	0.140276i
$817$	309.664	−	536.353i	0.379026	−	0.656491i
$818$	−1354.65	−	184.406i	−1.65605	−	0.225435i
$819$	−429.600	−	211.990i	−0.524542	−	0.258839i
$820$	322.380	+	569.893i	0.393147	+	0.694991i
$821$	1168.03	−	312.973i	1.42269	−	0.381209i	0.536254	−	0.844057i	$-0.319839\pi$
$821$	1168.03	−	312.973i	1.42269	−	0.381209i	0.886438	+	0.462847i	$0.153172\pi$
$822$	−52.8600	+	222.156i	−0.0643065	+	0.270263i
$823$	−322.575	+	186.239i	−0.391951	+	0.226293i	−0.683005	−	0.730414i	$-0.739327\pi$
$823$	−322.575	+	186.239i	−0.391951	+	0.226293i	0.291054	+	0.956707i	$0.405994\pi$
$824$	−67.0263	−	566.783i	−0.0813426	−	0.687843i
$825$	115.865	−	95.0633i	0.140442	−	0.115228i
$826$	2800.19	−	356.135i	3.39006	−	0.431156i
$827$	−902.070	−	902.070i	−1.09077	−	1.09077i	−0.995446	−	0.0953278i	$-0.969610\pi$
$827$	−902.070	−	902.070i	−1.09077	−	1.09077i	−0.0953278	−	0.995446i	$-0.530390\pi$
$828$	−949.272	−	478.851i	−1.14646	−	0.578322i
$829$	−118.663	−	118.663i	−0.143140	−	0.143140i	0.631905	−	0.775046i	$-0.282273\pi$
$829$	−118.663	−	118.663i	−0.143140	−	0.143140i	−0.775046	+	0.631905i	$0.782273\pi$
$830$	−173.511	−	134.356i	−0.209050	−	0.161875i
$831$	600.111	+	225.952i	0.722156	+	0.271904i
$832$	−221.532	+	120.225i	−0.266264	+	0.144502i
$833$	−2387.48	+	1378.41i	−2.86612	+	1.65475i
$834$	−634.595	+	17.9021i	−0.760905	+	0.0214653i
$835$	−566.352	+	151.754i	−0.678266	+	0.181741i
$836$	135.902	−	489.922i	0.162562	−	0.586031i
$837$	−73.6074	−	316.225i	−0.0879420	−	0.377807i
$838$	−40.5956	−	53.3895i	−0.0484434	−	0.0637107i
$839$	533.456	−	923.973i	0.635824	−	1.10128i	−0.350516	−	0.936557i	$-0.613994\pi$
$839$	533.456	−	923.973i	0.635824	−	1.10128i	0.986340	−	0.164722i	$-0.0526728\pi$
$840$	−1184.22	−	292.799i	−1.40978	−	0.348570i
$841$	314.739	−	181.715i	0.374244	−	0.216070i
$842$	−25.4485	+	60.6821i	−0.0302238	+	0.0720690i
$843$	−310.611	−	685.763i	−0.368459	−	0.813479i
$844$	332.649	+	2.92494i	0.394134	+	0.00346557i
$845$	408.165	−	408.165i	0.483036	−	0.483036i
$846$	−152.022	+	132.075i	−0.179695	+	0.156117i
$847$	−1349.21			−1.59293
$848$	−103.078	−	29.5720i	−0.121555	−	0.0348726i
$849$	−1087.76	+	892.471i	−1.28122	+	1.05120i
$850$	414.489	−	169.556i	0.487634	−	0.199478i
$851$	831.395	+	222.772i	0.976962	+	0.261776i
$852$	−1225.65	−	473.822i	−1.43855	−	0.556129i
$853$	238.150	+	888.786i	0.279191	+	1.04195i	0.952981	+	0.303031i	$0.0979985\pi$
$853$	238.150	+	888.786i	0.279191	+	1.04195i	−0.673790	+	0.738923i	$0.735335\pi$
$854$	−592.436	−	779.146i	−0.693719	−	0.912349i
$855$	702.772	+	616.628i	0.821956	+	0.721202i
$856$	17.1284	−	6.83159i	0.0200099	−	0.00798083i
$857$	538.571	−	932.832i	0.628437	−	1.08848i	−0.359428	−	0.933173i	$-0.617028\pi$
$857$	538.571	−	932.832i	0.628437	−	1.08848i	0.987865	−	0.155312i	$-0.0496383\pi$
$858$	31.0923	+	104.191i	0.0362381	+	0.121435i
$859$	452.092	+	121.138i	0.526300	+	0.141022i	0.512179	−	0.858879i	$-0.328838\pi$
$859$	452.092	+	121.138i	0.526300	+	0.141022i	0.0141210	+	0.999900i	$0.495505\pi$
$860$	84.4250	+	326.536i	0.0981686	+	0.379693i
$861$	1434.41	+	1028.15i	1.66598	+	1.19414i
$862$	−470.340	+	607.411i	−0.545638	+	0.704654i
$863$			234.687i			0.271944i	0.990713	+	0.135972i	$0.0434157\pi$
$863$			234.687i			0.271944i	−0.990713	+	0.135972i	$0.956584\pi$
$864$	−778.818	−	374.085i	−0.901409	−	0.432968i
$865$	−245.408			−0.283709
$866$	485.404	+	375.865i	0.560513	+	0.434025i
$867$	−238.313	+	332.477i	−0.274871	+	0.383479i
$868$	−629.407	+	162.732i	−0.725124	+	0.187479i
$869$	121.032	−	451.697i	0.139277	−	0.519790i
$870$	472.518	−	141.006i	0.543124	−	0.162076i
$871$	−229.627	−	132.575i	−0.263636	−	0.152210i
$872$	940.292	−	375.031i	1.07832	−	0.430081i
$873$	899.829	+	179.223i	1.03073	+	0.205295i
$874$	1298.80	−	987.562i	1.48604	−	1.12993i
$875$	1760.44	−	471.709i	2.01194	−	0.539096i
$876$	7.67596	−	19.8556i	0.00876251	−	0.0226662i
$877$	−167.065	+	623.494i	−0.190496	+	0.710940i	0.802891	+	0.596125i	$0.203294\pi$
$877$	−167.065	+	623.494i	−0.190496	+	0.710940i	−0.993387	+	0.114814i	$0.963373\pi$
$878$	−201.803	−	493.320i	−0.229844	−	0.561867i
$879$	−843.642	−	1028.24i	−0.959775	−	1.16979i
$880$	134.200	+	242.179i	0.152500	+	0.275204i
$881$			1467.28i			1.66547i	0.553671	+	0.832735i	$0.313226\pi$
$881$			1467.28i			1.66547i	−0.553671	+	0.832735i	$0.686774\pi$
$882$	−2361.98	+	458.424i	−2.67798	+	0.519756i
$883$	673.803	+	673.803i	0.763083	+	0.763083i	0.976879	−	0.213795i	$-0.0685825\pi$
$883$	673.803	+	673.803i	0.763083	+	0.763083i	−0.213795	+	0.976879i	$0.568582\pi$
$884$	−2.85667	+	324.885i	−0.00323153	+	0.367517i
$885$	1073.20	−	486.097i	1.21265	−	0.549262i
$886$	430.820	+	180.674i	0.486252	+	0.203921i
$887$	−178.651	−	309.433i	−0.201410	−	0.348853i	0.747573	−	0.664180i	$-0.231219\pi$
$887$	−178.651	−	309.433i	−0.201410	−	0.348853i	−0.948983	+	0.315327i	$0.897886\pi$
$888$	679.006	+	167.884i	0.764646	+	0.189059i
$889$	−2505.69	−	1446.66i	−2.81855	−	1.62729i
$890$	99.7626	−	75.8561i	0.112093	−	0.0852315i
$891$	−227.044	+	295.582i	−0.254819	+	0.331741i
$892$	1508.92	+	418.569i	1.69162	+	0.469247i
$893$	−79.9858	−	298.511i	−0.0895698	−	0.334279i
$894$	−22.9139	−	812.255i	−0.0256308	−	0.908563i
$895$	370.428	+	641.601i	0.413887	+	0.716872i
$896$	−710.903	+	1577.17i	−0.793419	+	1.76024i
$897$	−122.955	+	326.558i	−0.137073	+	0.364056i
$898$	158.703	−	204.953i	0.176729	−	0.228233i
$899$	185.820	−	185.820i	0.206697	−	0.206697i
$900$	390.227	−	22.0344i	0.433586	−	0.0244826i
$901$	−97.7425	+	97.7425i	−0.108482	+	0.108482i
$902$	−50.5376	−	397.363i	−0.0560284	−	0.440535i
$903$	576.629	+	702.805i	0.638570	+	0.778300i
$904$	78.3719	+	662.723i	0.0866945	+	0.733100i
$905$	−65.5393	−	113.517i	−0.0724191	−	0.125434i
$906$	−343.574	−	81.7501i	−0.379221	−	0.0902319i
$907$	259.287	+	967.671i	0.285873	+	1.06689i	0.948199	+	0.317676i	$0.102903\pi$
$907$	259.287	+	967.671i	0.285873	+	1.06689i	−0.662326	+	0.749215i	$0.730431\pi$
$908$	1142.48	−	646.287i	1.25824	−	0.711770i
$909$	−20.7733	−	31.1063i	−0.0228529	−	0.0342204i
$910$	−54.0015	+	396.698i	−0.0593423	+	0.435931i
$911$	−890.688	−	514.239i	−0.977704	−	0.564477i	−0.0761275	−	0.997098i	$-0.524256\pi$
$911$	−890.688	−	514.239i	−0.977704	−	0.564477i	−0.901576	+	0.432621i	$0.857589\pi$
$912$	1039.67	−	822.860i	1.13999	−	0.902259i
$913$	67.1265	+	116.266i	0.0735230	+	0.127346i
$914$	657.570	+	1607.47i	0.719442	+	1.75872i
$915$	−332.042	−	238.001i	−0.362888	−	0.260111i
$916$	6.88744	−	783.299i	0.00751904	−	0.855130i
$917$	−808.240	−	808.240i	−0.881396	−	0.881396i
$918$	−908.356	+	644.378i	−0.989495	+	0.701937i
$919$			177.758i			0.193426i	0.995312	+	0.0967128i	$0.0308328\pi$
$919$			177.758i			0.193426i	−0.995312	+	0.0967128i	$0.969167\pi$
$920$	−127.586	+	879.336i	−0.138681	+	0.955800i
$921$	−1534.47	+	253.143i	−1.66609	+	0.274857i
$922$	−325.977	+	777.294i	−0.353554	+	0.843052i
$923$	−111.619	+	416.566i	−0.120930	+	0.451318i
$924$	602.719	+	440.090i	0.652293	+	0.476288i
$925$	−305.631	+	81.8935i	−0.330412	+	0.0885335i
$926$	68.0779	−	500.103i	0.0735182	−	0.540069i
$927$	−482.630	−	423.470i	−0.520636	−	0.456818i
$928$	−76.0168	−	695.165i	−0.0819147	−	0.749100i
$929$	1063.59	+	614.063i	1.14488	+	0.660994i	0.947633	−	0.319361i	$-0.103468\pi$
$929$	1063.59	+	614.063i	1.14488	+	0.660994i	0.197242	+	0.980355i	$0.436802\pi$
$930$	−231.068	+	142.242i	−0.248460	+	0.152949i
$931$	955.652	−	3566.54i	1.02648	−	3.83087i
$932$	−249.972	−	966.834i	−0.268210	−	1.03738i
$933$	−383.496	−	37.8198i	−0.411036	−	0.0405357i
$934$	−1296.00	+	164.829i	−1.38758	+	0.176476i
$935$	356.896			0.381707
$936$	−94.7477	+	267.261i	−0.101226	+	0.285536i
$937$			256.006i			0.273219i	0.990625	+	0.136610i	$0.0436206\pi$
$937$			256.006i			0.273219i	−0.990625	+	0.136610i	$0.956379\pi$
$938$	−1805.34	+	229.608i	−1.92467	+	0.244785i
$939$	43.5671	−	19.7334i	0.0463973	−	0.0210153i
$940$	145.005	+	85.4271i	0.154260	+	0.0908799i
$941$	27.2173	+	7.29285i	0.0289238	+	0.00775011i	0.273252	−	0.961943i	$-0.411901\pi$
$941$	27.2173	+	7.29285i	0.0289238	+	0.00775011i	−0.244328	+	0.969693i	$0.578567\pi$
$942$	−10.2567	−	363.580i	−0.0108882	−	0.385966i
$943$	642.739	−	1113.26i	0.681589	−	1.18055i
$944$	−403.993	−	1621.24i	−0.427958	−	1.71741i
$945$	−1210.56	+	646.471i	−1.28102	+	0.684096i
$946$	27.8312	−	204.450i	0.0294199	−	0.216120i
$947$	106.251	+	396.533i	0.112197	+	0.418726i	0.999062	−	0.0433034i	$-0.0137882\pi$
$947$	106.251	+	396.533i	0.112197	+	0.418726i	−0.886865	+	0.462029i	$0.847122\pi$
$948$	949.570	−	765.222i	1.00166	−	0.807196i
$949$	−6.74841	−	1.80823i	−0.00711108	−	0.00190541i
$950$	−231.968	+	553.129i	−0.244176	+	0.582241i
$951$	362.458	+	136.472i	0.381133	+	0.143503i
$952$	1334.07	+	1786.90i	1.40133	+	1.87700i
$953$	−92.8455			−0.0974245			−0.0487122	−	0.998813i	$-0.515512\pi$
$953$	−92.8455			−0.0974245			−0.0487122	+	0.998813i	$0.515512\pi$
$954$	−108.446	+	52.8547i	−0.113676	+	0.0554032i
$955$	829.594	−	829.594i	0.868685	−	0.868685i
$956$	263.527	+	268.203i	0.275656	+	0.280547i
$957$	−300.215	−	29.6067i	−0.313704	−	0.0309370i
$958$	18.8085	+	45.9783i	0.0196330	+	0.0479941i
$959$	445.482	−	257.199i	0.464527	−	0.268195i
$960$	−89.7923	+	716.455i	−0.0935337	+	0.746308i
$961$	408.198	−	707.020i	0.424764	−	0.735713i
$962$	30.9633	−	227.458i	0.0321864	−	0.236443i
$963$	9.18024	−	18.6039i	0.00953296	−	0.0193187i
$964$	−40.6191	−	11.2676i	−0.0421360	−	0.0116883i
$965$	−104.551	+	28.0144i	−0.108343	+	0.0290304i
$966$	684.853	+	2294.97i	0.708958	+	2.37574i
$967$	−293.716	+	169.577i	−0.303739	+	0.175364i	−0.644121	−	0.764923i	$-0.722777\pi$
$967$	−293.716	+	169.577i	−0.303739	+	0.175364i	0.340382	+	0.940287i	$0.389443\pi$
$968$	93.7885	+	793.088i	0.0968890	+	0.819306i
$969$	−278.192	−	1686.31i	−0.287092	−	1.74025i
$970$	−96.7410	−	760.647i	−0.0997330	−	0.784172i
$971$	963.331	+	963.331i	0.992102	+	0.992102i	0.999969	−	0.00786697i	$-0.00250416\pi$
$971$	963.331	+	963.331i	0.992102	+	0.992102i	−0.00786697	+	0.999969i	$0.502504\pi$
$972$	−932.763	+	273.381i	−0.959633	+	0.281256i
$973$	1011.20	+	1011.20i	1.03926	+	1.03926i
$974$	−841.532	+	1086.78i	−0.863996	+	1.11579i
$975$	−20.8793	−	126.563i	−0.0214147	−	0.129809i
$976$	−416.812	+	402.404i	−0.427061	+	0.412299i
$977$	699.951	−	404.117i	0.716429	−	0.413631i	−0.0970078	−	0.995284i	$-0.530927\pi$
$977$	699.951	−	404.117i	0.716429	−	0.413631i	0.813437	+	0.581653i	$0.197594\pi$
$978$	−230.402	−	124.495i	−0.235585	−	0.127296i
$979$	−74.0590	+	19.8441i	−0.0756476	+	0.0202697i
$980$	990.041	+	1750.16i	1.01025	+	1.78588i
$981$	503.963	−	1021.29i	0.513724	−	1.04107i
$982$	−68.3345	+	51.9592i	−0.0695870	+	0.0529116i
$983$	−920.055	+	1593.58i	−0.935966	+	1.62114i	−0.163065	+	0.986615i	$0.552138\pi$
$983$	−920.055	+	1593.58i	−0.935966	+	1.62114i	−0.772902	+	0.634526i	$0.781195\pi$
$984$	504.654	−	914.637i	0.512860	−	0.929509i
$985$	512.580	−	295.938i	0.520386	−	0.300445i
$986$	−831.274	−	348.614i	−0.843077	−	0.353564i
$987$	451.439	+	44.5202i	0.457385	+	0.0451066i
$988$	−304.982	−	310.393i	−0.308686	−	0.314163i
$989$	468.222	−	468.222i	0.473429	−	0.473429i
$990$	294.487	+	101.494i	0.297461	+	0.102519i
$991$	−1209.43			−1.22041			−0.610207	−	0.792242i	$-0.708914\pi$
$991$	−1209.43			−1.22041			−0.610207	+	0.792242i	$0.708914\pi$
$992$	139.408	+	358.663i	0.140533	+	0.361556i
$993$	−1501.66	−	565.402i	−1.51225	−	0.569388i
$994$	1120.71	+	2739.64i	1.12748	+	2.75618i
$995$	−1063.71	−	285.021i	−1.06906	−	0.286453i
$996$	−37.4234	+	348.110i	−0.0375737	+	0.349508i
$997$	139.782	+	521.674i	0.140203	+	0.523243i	0.999922	+	0.0124770i	$0.00397164\pi$
$997$	139.782	+	521.674i	0.140203	+	0.523243i	−0.859720	+	0.510766i	$0.829362\pi$
$998$	701.436	−	533.348i	0.702842	−	0.534417i
$999$	694.110	−	370.673i	0.694805	−	0.371044i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	144.3.w.a.29.11	yes	184
3.2	odd	2		432.3.x.a.413.36		184
9.4	even	3		432.3.x.a.125.40		184
9.5	odd	6	inner	144.3.w.a.77.7	yes	184
16.5	even	4	inner	144.3.w.a.101.7	yes	184
48.5	odd	4		432.3.x.a.197.40		184
144.5	odd	12	inner	144.3.w.a.5.11	✓	184
144.85	even	12		432.3.x.a.341.36		184

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
144.3.w.a.5.11	✓	184	144.5	odd	12	inner
144.3.w.a.29.11	yes	184	1.1	even	1	trivial
144.3.w.a.77.7	yes	184	9.5	odd	6	inner
144.3.w.a.101.7	yes	184	16.5	even	4	inner
432.3.x.a.125.40		184	9.4	even	3
432.3.x.a.197.40		184	48.5	odd	4
432.3.x.a.341.36		184	144.85	even	12
432.3.x.a.413.36		184	3.2	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:	\( N \)	\(=\)	\( 144 = 2^{4} \cdot 3^{2} \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	144.w (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.58134 - 1.22449i) q^{2} +(1.74774 - 2.43832i) q^{3} +(1.00126 + 3.87266i) q^{4} +(0.973349 - 3.63259i) q^{5} +(-5.74946 + 1.71573i) q^{6} +(11.7048 + 6.75777i) q^{7} +(3.15868 - 7.35002i) q^{8} +(-2.89081 - 8.52310i) q^{9} +O(q^{10})\)	\(q+(-1.58134 - 1.22449i) q^{2} +(1.74774 - 2.43832i) q^{3} +(1.00126 + 3.87266i) q^{4} +(0.973349 - 3.63259i) q^{5} +(-5.74946 + 1.71573i) q^{6} +(11.7048 + 6.75777i) q^{7} +(3.15868 - 7.35002i) q^{8} +(-2.89081 - 8.52310i) q^{9} +(-5.98725 + 4.55250i) q^{10} +(4.44465 - 1.19094i) q^{11} +(11.1927 + 4.32699i) q^{12} +(1.01931 - 3.80413i) q^{13} +(-10.2345 - 25.0187i) q^{14} +(-7.15625 - 8.72215i) q^{15} +(-13.9949 + 7.75511i) q^{16} +20.6241i q^{17} +(-5.86507 + 17.0177i) q^{18} +(-19.5324 - 19.5324i) q^{19} +(15.0423 + 0.132265i) q^{20} +(36.9345 - 16.7292i) q^{21} +(-8.48678 - 3.55913i) q^{22} +(-14.7668 - 25.5769i) q^{23} +(-12.4011 - 20.5478i) q^{24} +(9.40236 + 5.42845i) q^{25} +(-6.26998 + 4.76748i) q^{26} +(-25.8344 - 7.84744i) q^{27} +(-14.4509 + 52.0950i) q^{28} +(-5.65607 - 21.1088i) q^{29} +(0.636294 + 22.5554i) q^{30} +(6.01256 + 10.4141i) q^{31} +(31.6268 + 4.87317i) q^{32} +(4.86420 - 12.9189i) q^{33} +(25.2540 - 32.6137i) q^{34} +(35.9410 - 35.9410i) q^{35} +(30.1126 - 19.7290i) q^{36} +(-20.6078 + 20.6078i) q^{37} +(6.97017 + 54.8045i) q^{38} +(-7.49419 - 9.13404i) q^{39} +(-23.6251 - 18.6283i) q^{40} +(21.7630 + 37.6946i) q^{41} +(-78.8907 - 18.7713i) q^{42} +(5.80291 + 21.6568i) q^{43} +(9.06237 + 16.0201i) q^{44} +(-33.7747 + 2.20517i) q^{45} +(-7.96720 + 58.5274i) q^{46} +(9.68895 + 5.59392i) q^{47} +(-5.55008 + 47.6781i) q^{48} +(66.8348 + 115.761i) q^{49} +(-8.22124 - 20.0973i) q^{50} +(50.2882 + 36.0456i) q^{51} +(15.7527 + 0.138511i) q^{52} +(4.73923 + 4.73923i) q^{53} +(31.2439 + 44.0434i) q^{54} -17.3048i q^{55} +(86.6414 - 64.6848i) q^{56} +(-81.7638 + 13.4887i) q^{57} +(-16.9032 + 40.3059i) q^{58} +(-27.0274 + 100.868i) q^{59} +(26.6126 - 36.4469i) q^{60} +(34.9763 - 9.37188i) q^{61} +(3.24399 - 23.8305i) q^{62} +(23.7608 - 119.297i) q^{63} +(-44.0455 - 46.4327i) q^{64} +(-12.8267 - 7.40548i) q^{65} +(-23.5110 + 14.4731i) q^{66} +(17.4252 - 65.0316i) q^{67} +(-79.8702 + 20.6502i) q^{68} +(-88.1731 - 8.69549i) q^{69} +(-100.844 + 12.8256i) q^{70} -109.504 q^{71} +(-71.7761 - 5.67422i) q^{72} -1.77397i q^{73} +(57.8219 - 7.35394i) q^{74} +(29.6692 - 13.4384i) q^{75} +(56.0852 - 95.1994i) q^{76} +(60.0718 + 16.0962i) q^{77} +(0.666342 + 23.6205i) q^{78} +(50.8136 - 88.0118i) q^{79} +(14.5491 + 58.3862i) q^{80} +(-64.2864 + 49.2773i) q^{81} +(11.7419 - 86.2563i) q^{82} +(7.55138 + 28.1822i) q^{83} +(101.768 + 126.284i) q^{84} +(74.9189 + 20.0745i) q^{85} +(17.3421 - 41.3523i) q^{86} +(-61.3552 - 23.1013i) q^{87} +(5.28578 - 36.4300i) q^{88} -16.6625 q^{89} +(56.1094 + 37.8695i) q^{90} +(37.6383 - 37.6383i) q^{91} +(84.2649 - 82.7960i) q^{92} +(35.9012 + 3.54052i) q^{93} +(-8.47184 - 20.7099i) q^{94} +(-89.9650 + 51.9413i) q^{95} +(67.1577 - 68.5992i) q^{96} +(-50.9724 + 88.2869i) q^{97} +(36.0597 - 264.896i) q^{98} +(-22.9991 - 34.4394i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 184 q - 6 q^{2} - 4 q^{3} - 2 q^{4} - 6 q^{5} - 10 q^{6}+O(q^{10}) \) 184 * q - 6 * q^2 - 4 * q^3 - 2 * q^4 - 6 * q^5 - 10 * q^6	\( 184 q - 6 q^{2} - 4 q^{3} - 2 q^{4} - 6 q^{5} - 10 q^{6} - 8 q^{10} - 6 q^{11} - 64 q^{12} - 2 q^{13} - 6 q^{14} - 8 q^{15} - 2 q^{16} + 54 q^{18} - 8 q^{19} + 120 q^{20} - 22 q^{21} - 2 q^{22} - 160 q^{24} + 44 q^{27} - 72 q^{28} - 6 q^{29} - 90 q^{30} - 4 q^{31} - 6 q^{32} - 8 q^{33} + 6 q^{34} - 202 q^{36} - 8 q^{37} - 6 q^{38} - 2 q^{40} + 44 q^{42} - 2 q^{43} + 46 q^{45} - 160 q^{46} - 12 q^{47} - 118 q^{48} + 472 q^{49} + 228 q^{50} - 48 q^{51} - 2 q^{52} + 206 q^{54} - 300 q^{56} - 92 q^{58} - 438 q^{59} - 90 q^{60} - 2 q^{61} - 204 q^{63} + 244 q^{64} - 12 q^{65} - 508 q^{66} - 2 q^{67} - 144 q^{68} + 14 q^{69} + 96 q^{70} + 6 q^{72} + 246 q^{74} + 152 q^{75} - 158 q^{76} - 6 q^{77} + 304 q^{78} - 4 q^{79} - 8 q^{81} - 388 q^{82} - 726 q^{83} + 542 q^{84} + 48 q^{85} + 894 q^{86} + 22 q^{88} - 528 q^{90} - 204 q^{91} - 348 q^{92} + 62 q^{93} - 18 q^{94} - 12 q^{95} + 262 q^{96} - 4 q^{97} + 286 q^{99}+O(q^{100}) \) 184 * q - 6 * q^2 - 4 * q^3 - 2 * q^4 - 6 * q^5 - 10 * q^6 - 8 * q^10 - 6 * q^11 - 64 * q^12 - 2 * q^13 - 6 * q^14 - 8 * q^15 - 2 * q^16 + 54 * q^18 - 8 * q^19 + 120 * q^20 - 22 * q^21 - 2 * q^22 - 160 * q^24 + 44 * q^27 - 72 * q^28 - 6 * q^29 - 90 * q^30 - 4 * q^31 - 6 * q^32 - 8 * q^33 + 6 * q^34 - 202 * q^36 - 8 * q^37 - 6 * q^38 - 2 * q^40 + 44 * q^42 - 2 * q^43 + 46 * q^45 - 160 * q^46 - 12 * q^47 - 118 * q^48 + 472 * q^49 + 228 * q^50 - 48 * q^51 - 2 * q^52 + 206 * q^54 - 300 * q^56 - 92 * q^58 - 438 * q^59 - 90 * q^60 - 2 * q^61 - 204 * q^63 + 244 * q^64 - 12 * q^65 - 508 * q^66 - 2 * q^67 - 144 * q^68 + 14 * q^69 + 96 * q^70 + 6 * q^72 + 246 * q^74 + 152 * q^75 - 158 * q^76 - 6 * q^77 + 304 * q^78 - 4 * q^79 - 8 * q^81 - 388 * q^82 - 726 * q^83 + 542 * q^84 + 48 * q^85 + 894 * q^86 + 22 * q^88 - 528 * q^90 - 204 * q^91 - 348 * q^92 + 62 * q^93 - 18 * q^94 - 12 * q^95 + 262 * q^96 - 4 * q^97 + 286 * q^99

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