LMFDB - Embedded newform 207.4.o.a.11.48

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [207,4,Mod(5,207)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(207, base_ring=CyclotomicField(66))

chi = DirichletCharacter(H, H._module([55, 3]))

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

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

chi := DirichletCharacter("207.5");

S:= CuspForms(chi, 4);

N := Newforms(S);

Level:	$ N $	$=$	$ 207 = 3^{2} \cdot 23 $
Weight:	$ k $	$=$	$ 4 $
Character orbit:	$[\chi]$	$=$	207.o (of order $66$, degree $20$, 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:	$12.2133953712$
Analytic rank:	$0$
Dimension:	$1400$
Relative dimension:	$70$ over $\Q(\zeta_{66})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label			11.48
Character	$\chi$	$=$	207.11
Dual form			207.4.o.a.113.48

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(2.07498 - 0.0988435i) q^{2} +(-5.19299 - 0.181166i) q^{3} +(-3.66800 + 0.350252i) q^{4} +(-6.20290 - 5.91446i) q^{5} +(-10.7933 + 0.137378i) q^{6} +(2.45792 + 12.7529i) q^{7} +(-24.0259 + 3.45441i) q^{8} +(26.9344 + 1.88159i) q^{9} +(-13.4555 - 11.6593i) q^{10} +(55.2766 - 28.4971i) q^{11} +(19.1114 - 1.15434i) q^{12} +(-42.7832 - 8.24579i) q^{13} +(6.36068 + 26.2191i) q^{14} +(31.1401 + 31.8375i) q^{15} +(-20.5671 + 3.96398i) q^{16} +(40.4506 + 88.5745i) q^{17} +(56.0743 + 1.24197i) q^{18} +(105.004 + 47.9538i) q^{19} +(24.8238 + 19.5217i) q^{20} +(-10.4536 - 66.6710i) q^{21} +(111.881 - 64.5946i) q^{22} +(108.772 + 18.3236i) q^{23} +(125.392 - 13.5860i) q^{24} +(-2.45252 - 51.4848i) q^{25} +(-89.5894 - 12.8810i) q^{26} +(-139.529 - 14.6507i) q^{27} +(-13.4824 - 45.9168i) q^{28} +(2.98908 - 31.3031i) q^{29} +(67.7621 + 62.9842i) q^{30} +(138.390 - 108.831i) q^{31} +(146.426 - 35.5225i) q^{32} +(-292.214 + 137.971i) q^{33} +(92.6892 + 179.792i) q^{34} +(60.1802 - 93.6423i) q^{35} +(-99.4543 + 2.53214i) q^{36} +(-88.9226 + 302.843i) q^{37} +(222.621 + 89.1242i) q^{38} +(220.679 + 50.5712i) q^{39} +(169.461 + 120.673i) q^{40} +(129.235 - 135.538i) q^{41} +(-28.2810 - 137.308i) q^{42} +(-204.641 + 260.222i) q^{43} +(-192.774 + 123.888i) q^{44} +(-155.943 - 170.973i) q^{45} +(227.510 + 27.2698i) q^{46} +(-295.539 - 170.629i) q^{47} +(107.523 - 16.8589i) q^{48} +(161.835 - 64.7890i) q^{49} +(-10.1779 - 106.588i) q^{50} +(-194.013 - 467.295i) q^{51} +(159.817 + 15.2607i) q^{52} +(347.094 + 400.568i) q^{53} +(-290.968 - 16.6083i) q^{54} +(-511.420 - 150.167i) q^{55} +(-103.108 - 297.910i) q^{56} +(-536.598 - 268.047i) q^{57} +(3.10818 - 65.2488i) q^{58} +(-86.1808 + 447.148i) q^{59} +(-125.373 - 105.873i) q^{60} +(48.4938 - 121.132i) q^{61} +(276.399 - 239.501i) q^{62} +(42.2068 + 348.116i) q^{63} +(461.097 - 135.390i) q^{64} +(216.611 + 304.188i) q^{65} +(-592.700 + 315.170i) q^{66} +(221.578 - 429.801i) q^{67} +(-179.396 - 310.723i) q^{68} +(-561.530 - 114.860i) q^{69} +(115.617 - 200.254i) q^{70} +(-16.4053 - 25.5272i) q^{71} +(-653.623 + 47.8353i) q^{72} +(139.921 - 306.384i) q^{73} +(-154.579 + 637.182i) q^{74} +(3.40864 + 267.804i) q^{75} +(-401.951 - 139.117i) q^{76} +(499.286 + 634.894i) q^{77} +(462.904 + 83.1216i) q^{78} +(850.655 - 294.415i) q^{79} +(151.021 + 97.0550i) q^{80} +(721.919 + 101.359i) q^{81} +(254.763 - 294.012i) q^{82} +(-868.033 + 827.667i) q^{83} +(61.6953 + 240.888i) q^{84} +(272.959 - 788.662i) q^{85} +(-398.904 + 560.182i) q^{86} +(-21.1933 + 162.015i) q^{87} +(-1229.63 + 875.616i) q^{88} +(95.1622 - 661.867i) q^{89} +(-340.478 - 339.353i) q^{90} -565.878i q^{91} +(-405.392 - 29.1136i) q^{92} +(-738.373 + 540.086i) q^{93} +(-630.102 - 324.840i) q^{94} +(-367.710 - 918.495i) q^{95} +(-766.823 + 157.941i) q^{96} +(643.913 + 156.212i) q^{97} +(329.401 - 150.432i) q^{98} +(1542.46 - 663.543i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1400 q - 27 q^{2} - 22 q^{3} - 281 q^{4} - 33 q^{5} + 29 q^{6} - 11 q^{7} - 22 q^{9} - 44 q^{10} - 33 q^{11} + 86 q^{12} - 9 q^{13} - 33 q^{14} + 726 q^{15} + 999 q^{16} + 51 q^{18} - 44 q^{19} - 33 q^{20}+ \cdots - 9262 q^{99}+O(q^{100}) $ 1400 * q - 27 * q^2 - 22 * q^3 - 281 * q^4 - 33 * q^5 + 29 * q^6 - 11 * q^7 - 22 * q^9 - 44 * q^10 - 33 * q^11 + 86 * q^12 - 9 * q^13 - 33 * q^14 + 726 * q^15 + 999 * q^16 + 51 * q^18 - 44 * q^19 - 33 * q^20 + 638 * q^21 + 252 * q^23 - 2564 * q^24 + 1397 * q^25 - 178 * q^27 - 44 * q^28 - 135 * q^29 - 1518 * q^30 - 45 * q^31 - 339 * q^32 + 1914 * q^33 - 11 * q^34 - 2137 * q^36 - 44 * q^37 - 33 * q^38 + 374 * q^39 + 979 * q^40 + 441 * q^41 - 22 * q^42 - 11 * q^43 + 516 * q^46 - 1992 * q^47 - 20 * q^48 - 4633 * q^49 - 6231 * q^50 - 22 * q^51 + 178 * q^52 + 2640 * q^54 + 256 * q^55 + 17391 * q^56 + 2090 * q^57 + 320 * q^58 - 2061 * q^59 + 418 * q^60 - 11 * q^61 - 2112 * q^63 + 8546 * q^64 - 12969 * q^65 - 5775 * q^66 - 11 * q^67 - 519 * q^69 - 1582 * q^70 - 4156 * q^72 - 36 * q^73 - 10065 * q^74 - 7876 * q^75 - 11 * q^76 + 1317 * q^77 - 10053 * q^78 - 11 * q^79 + 12442 * q^81 + 698 * q^82 + 14025 * q^83 + 16720 * q^84 + 241 * q^85 - 33 * q^86 + 11672 * q^87 - 1419 * q^88 - 37136 * q^90 + 3141 * q^92 + 1138 * q^93 + 396 * q^94 + 5883 * q^95 + 9218 * q^96 + 6325 * q^97 - 9262 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/207\mathbb{Z}\right)^\times$.

$n$	$28$	$47$
$\chi(n)$	$e\left(\frac{9}{22}\right)$	$e\left(\frac{1}{6}\right)$

Coefficient data

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

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

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

$2$	2.07498	−	0.0988435i	0.733616	−	0.0349465i	0.322551	−	0.946552i	$-0.395460\pi$
$2$	2.07498	−	0.0988435i	0.733616	−	0.0349465i	0.411066	+	0.911606i	$0.365157\pi$
$3$	−5.19299	−	0.181166i	−0.999392	−	0.0348654i
$3$	−5.19299	−	0.181166i	−0.999392	−	0.0348654i
$4$	−3.66800	+	0.350252i	−0.458500	+	0.0437815i
$5$	−6.20290	−	5.91446i	−0.554805	−	0.529005i	0.359973	−	0.932963i	$-0.382786\pi$
$5$	−6.20290	−	5.91446i	−0.554805	−	0.529005i	−0.914778	+	0.403958i	$0.867634\pi$
$6$	−10.7933	+	0.137378i	−0.734389	+	0.00934738i
$7$	2.45792	+	12.7529i	0.132715	+	0.688592i	0.985947	+	0.167060i	$0.0534273\pi$
$7$	2.45792	+	12.7529i	0.132715	+	0.688592i	−0.853232	+	0.521532i	$0.825361\pi$
$8$	−24.0259	+	3.45441i	−1.06181	+	0.152665i
$9$	26.9344	+	1.88159i	0.997569	+	0.0696884i
$10$	−13.4555	−	11.6593i	−0.425501	−	0.368698i
$11$	55.2766	−	28.4971i	1.51514	−	0.781108i	0.517905	−	0.855438i	$-0.326712\pi$
$11$	55.2766	−	28.4971i	1.51514	−	0.781108i	0.997234	+	0.0743299i	$0.0236818\pi$
$12$	19.1114	−	1.15434i	0.459748	−	0.0277690i
$13$	−42.7832	−	8.24579i	−0.912764	−	0.175921i	−0.288814	−	0.957385i	$-0.593261\pi$
$13$	−42.7832	−	8.24579i	−0.912764	−	0.175921i	−0.623950	+	0.781464i	$0.714473\pi$
$14$	6.36068	+	26.2191i	0.121426	+	0.500524i
$15$	31.1401	+	31.8375i	0.536023	+	0.548027i
$16$	−20.5671	+	3.96398i	−0.321361	+	0.0619372i
$17$	40.4506	+	88.5745i	0.577101	+	1.26367i	0.942930	+	0.332992i	$0.108058\pi$
$17$	40.4506	+	88.5745i	0.577101	+	1.26367i	−0.365829	+	0.930682i	$0.619214\pi$
$18$	56.0743	+	1.24197i	0.734268	+	0.0162631i
$19$	105.004	+	47.9538i	1.26787	+	0.579018i	0.931853	−	0.362836i	$-0.118192\pi$
$19$	105.004	+	47.9538i	1.26787	+	0.579018i	0.336021	+	0.941855i	$0.390919\pi$
$20$	24.8238	+	19.5217i	0.277539	+	0.218259i
$21$	−10.4536	−	66.6710i	−0.108626	−	0.692800i
$22$	111.881	−	64.5946i	1.08423	−	0.625983i
$23$	108.772	+	18.3236i	0.986106	+	0.166119i
$23$	108.772	+	18.3236i	0.986106	+	0.166119i
$24$	125.392	−	13.5860i	1.06648	−	0.115552i
$25$	−2.45252	−	51.4848i	−0.0196202	−	0.411878i
$26$	−89.5894	−	12.8810i	−0.675767	−	0.0971606i
$27$	−139.529	−	14.6507i	−0.994533	−	0.104427i
$28$	−13.4824	−	45.9168i	−0.0909975	−	0.309909i
$29$	2.98908	−	31.3031i	0.0191400	−	0.200443i	−0.980844	−	0.194794i	$-0.937596\pi$
$29$	2.98908	−	31.3031i	0.0191400	−	0.200443i	0.999984	−	0.00564830i	$-0.00179792\pi$
$30$	67.7621	+	62.9842i	0.412387	+	0.383309i
$31$	138.390	−	108.831i	0.801791	−	0.630535i	−0.130825	−	0.991405i	$-0.541763\pi$
$31$	138.390	−	108.831i	0.801791	−	0.630535i	0.932616	+	0.360870i	$0.117520\pi$
$32$	146.426	−	35.5225i	0.808895	−	0.196236i
$33$	−292.214	+	137.971i	−1.54145	+	0.727807i
$34$	92.6892	+	179.792i	0.467531	+	0.906885i
$35$	60.1802	−	93.6423i	0.290638	−	0.452241i
$36$	−99.4543	+	2.53214i	−0.460436	+	0.0117229i
$37$	−88.9226	+	302.843i	−0.395102	+	1.34560i	0.486532	+	0.873663i	$0.338262\pi$
$37$	−88.9226	+	302.843i	−0.395102	+	1.34560i	−0.881635	+	0.471933i	$0.843557\pi$
$38$	222.621	+	89.1242i	0.950368	+	0.380470i
$39$	220.679	+	50.5712i	0.906076	+	0.207638i
$40$	169.461	+	120.673i	0.669855	+	0.477002i
$41$	129.235	−	135.538i	0.492271	−	0.516278i	−0.429997	−	0.902830i	$-0.641485\pi$
$41$	129.235	−	135.538i	0.492271	−	0.516278i	0.922268	+	0.386552i	$0.126334\pi$
$42$	−28.2810	−	137.308i	−0.103901	−	0.504454i
$43$	−204.641	+	260.222i	−0.725754	+	0.922871i	−0.999239	−	0.0390055i	$-0.987581\pi$
$43$	−204.641	+	260.222i	−0.725754	+	0.922871i	0.273485	+	0.961876i	$0.411823\pi$
$44$	−192.774	+	123.888i	−0.660493	+	0.424473i
$45$	−155.943	−	170.973i	−0.516590	−	0.566382i
$46$	227.510	+	27.2698i	0.729229	+	0.0874067i
$47$	−295.539	−	170.629i	−0.917207	−	0.529550i	−0.0344640	−	0.999406i	$-0.510972\pi$
$47$	−295.539	−	170.629i	−0.917207	−	0.529550i	−0.882743	+	0.469856i	$0.844306\pi$
$48$	107.523	−	16.8589i	0.323325	−	0.0506952i
$49$	161.835	−	64.7890i	0.471822	−	0.188889i
$50$	−10.1779	−	106.588i	−0.0287874	−	0.301475i
$51$	−194.013	−	467.295i	−0.532691	−	1.28303i
$52$	159.817	+	15.2607i	0.426205	+	0.0406976i
$53$	347.094	+	400.568i	0.899566	+	1.03815i	0.999070	+	0.0431176i	$0.0137290\pi$
$53$	347.094	+	400.568i	0.899566	+	1.03815i	−0.0995038	+	0.995037i	$0.531726\pi$
$54$	−290.968	−	16.6083i	−0.733255	−	0.0418537i
$55$	−511.420	−	150.167i	−1.25382	−	0.368154i
$56$	−103.108	−	297.910i	−0.246041	−	0.710890i
$57$	−536.598	−	268.047i	−1.24692	−	0.622871i
$58$	3.10818	−	65.2488i	0.00703663	−	0.147717i
$59$	−86.1808	+	447.148i	−0.190166	+	0.986674i	0.753918	+	0.656968i	$0.228162\pi$
$59$	−86.1808	+	447.148i	−0.190166	+	0.986674i	−0.944084	+	0.329705i	$0.893051\pi$
$60$	−125.373	−	105.873i	−0.269760	−	0.227803i
$61$	48.4938	−	121.132i	0.101787	−	0.254251i	−0.868729	−	0.495287i	$-0.835063\pi$
$61$	48.4938	−	121.132i	0.101787	−	0.254251i	0.970516	+	0.241036i	$0.0774871\pi$
$62$	276.399	−	239.501i	0.566172	−	0.490591i
$63$	42.2068	+	348.116i	0.0844057	+	0.696167i
$64$	461.097	−	135.390i	0.900579	−	0.264434i
$65$	216.611	+	304.188i	0.413343	+	0.580459i
$66$	−592.700	+	315.170i	−1.10540	+	0.587800i
$67$	221.578	−	429.801i	0.404030	−	0.783710i	−0.595781	−	0.803147i	$-0.703157\pi$
$67$	221.578	−	429.801i	0.404030	−	0.783710i	0.999811	+	0.0194376i	$0.00618756\pi$
$68$	−179.396	−	310.723i	−0.319926	−	0.554128i
$69$	−561.530	−	114.860i	−0.979714	−	0.200399i
$70$	115.617	−	200.254i	0.197412	−	0.341928i
$71$	−16.4053	−	25.5272i	−0.0274219	−	0.0426693i	0.827272	−	0.561802i	$-0.189892\pi$
$71$	−16.4053	−	25.5272i	−0.0274219	−	0.0426693i	−0.854694	+	0.519132i	$0.826255\pi$
$72$	−653.623	+	47.8353i	−1.06986	+	0.0782979i
$73$	139.921	−	306.384i	0.224336	−	0.491227i	−0.763677	−	0.645598i	$-0.776608\pi$
$73$	139.921	−	306.384i	0.224336	−	0.491227i	0.988013	+	0.154372i	$0.0493353\pi$
$74$	−154.579	+	637.182i	−0.242830	+	1.00096i
$75$	3.40864	+	267.804i	0.00524795	+	0.412312i
$76$	−401.951	−	139.117i	−0.606670	−	0.209971i
$77$	499.286	+	634.894i	0.738947	+	0.939647i
$78$	462.904	+	83.1216i	0.671968	+	0.120662i
$79$	850.655	−	294.415i	1.21147	−	0.419294i	0.354694	−	0.934982i	$-0.384585\pi$
$79$	850.655	−	294.415i	1.21147	−	0.419294i	0.856776	+	0.515688i	$0.172464\pi$
$80$	151.021	+	97.0550i	0.211058	+	0.135638i
$81$	721.919	+	101.359i	0.990287	+	0.139038i
$82$	254.763	−	294.012i	0.343096	−	0.395953i
$83$	−868.033	+	827.667i	−1.14794	+	1.09456i	−0.153619	+	0.988130i	$0.549093\pi$
$83$	−868.033	+	827.667i	−1.14794	+	1.09456i	−0.994320	+	0.106428i	$0.966059\pi$
$84$	61.6953	+	240.888i	0.0801371	+	0.312893i
$85$	272.959	−	788.662i	0.348312	−	1.00638i
$86$	−398.904	+	560.182i	−0.500174	+	0.702396i
$87$	−21.1933	+	162.015i	−0.0261168	+	0.199654i
$88$	−1229.63	+	875.616i	−1.48954	+	1.06069i
$89$	95.1622	−	661.867i	0.113339	−	0.788290i	−0.851293	−	0.524690i	$-0.824181\pi$
$89$	95.1622	−	661.867i	0.113339	−	0.788290i	0.964632	−	0.263600i	$-0.0849098\pi$
$90$	−340.478	−	339.353i	−0.398772	−	0.397454i
$91$		−	565.878i		−	0.651870i
$92$	−405.392	−	29.1136i	−0.459402	−	0.0329924i
$93$	−738.373	+	540.086i	−0.823287	+	0.602197i
$94$	−630.102	−	324.840i	−0.691384	−	0.356433i
$95$	−367.710	−	918.495i	−0.397118	−	0.991954i
$96$	−766.823	+	157.941i	−0.815245	+	0.167914i
$97$	643.913	+	156.212i	0.674016	+	0.163514i	0.558137	−	0.829749i	$-0.311516\pi$
$97$	643.913	+	156.212i	0.674016	+	0.163514i	0.115879	+	0.993263i	$0.463032\pi$
$98$	329.401	−	150.432i	0.339536	−	0.155061i
$99$	1542.46	−	663.543i	1.56589	−	0.673622i
$100$	27.0285	+	187.987i	0.0270285	+	0.187987i
$101$	724.299	+	759.623i	0.713569	+	0.748369i	0.976282	−	0.216505i	$-0.0694656\pi$
$101$	724.299	+	759.623i	0.713569	+	0.748369i	−0.262713	+	0.964874i	$0.584617\pi$
$102$	−448.762	−	950.451i	−0.435628	−	0.922634i
$103$	−87.1766	−	4.15273i	−0.0833958	−	0.00397263i	0.00584255	−	0.999983i	$-0.498140\pi$
$103$	−87.1766	−	4.15273i	−0.0833958	−	0.00397263i	−0.0892383	+	0.996010i	$0.528443\pi$
$104$	1056.39	+	50.3221i	0.996035	+	0.0474470i
$105$	−329.480	+	475.381i	−0.306229	+	0.441833i
$106$	759.807	+	796.862i	0.696216	+	0.730171i
$107$	112.663	+	783.587i	0.101790	+	0.707965i	0.975256	+	0.221079i	$0.0709580\pi$
$107$	112.663	+	783.587i	0.101790	+	0.707965i	−0.873466	+	0.486885i	$0.838133\pi$
$108$	516.924	+	4.86835i	0.460565	+	0.00433756i
$109$	−141.447	+	64.5965i	−0.124295	+	0.0567635i	−0.476592	−	0.879125i	$-0.658128\pi$
$109$	−141.447	+	64.5965i	−0.124295	+	0.0567635i	0.352297	+	0.935888i	$0.385401\pi$
$110$	−1076.03	−	261.042i	−0.932686	−	0.226267i
$111$	516.639	−	1556.55i	0.441777	−	1.33100i
$112$	−101.105	−	252.547i	−0.0852990	−	0.213066i
$113$	2073.52	+	1068.97i	1.72619	+	0.889915i	0.972570	+	0.232611i	$0.0747268\pi$
$113$	2073.52	+	1068.97i	1.72619	+	0.889915i	0.753625	+	0.657305i	$0.228303\pi$
$114$	−1139.93	−	503.153i	−0.936525	−	0.413373i
$115$	−566.325	−	756.984i	−0.459218	−	0.613819i
$116$			115.867i			0.0927410i
$117$	−1136.82	−	302.596i	−0.898286	−	0.239102i
$118$	−134.626	+	936.343i	−0.105028	+	0.730486i
$119$	−1030.16	+	733.571i	−0.793566	+	0.565096i
$120$	−858.150	−	657.354i	−0.652817	−	0.500066i
$121$	1471.36	−	2066.24i	1.10546	−	1.55240i
$122$	88.6506	−	256.139i	0.0657873	−	0.190080i
$123$	−695.670	+	680.433i	−0.509971	+	0.498801i
$124$	−469.495	+	447.663i	−0.340015	+	0.324204i
$125$	−990.868	+	1143.52i	−0.709008	+	0.818238i
$126$	121.987	+	718.162i	0.0862499	+	0.507770i
$127$	−429.905	−	276.283i	−0.300377	−	0.193041i	0.381767	−	0.924259i	$-0.375316\pi$
$127$	−429.905	−	276.283i	−0.300377	−	0.193041i	−0.682144	+	0.731218i	$0.738952\pi$
$128$	−195.704	+	67.7338i	−0.135140	+	0.0467725i
$129$	1109.84	−	1314.26i	0.757489	−	0.897006i
$130$	479.530	+	609.773i	0.323520	+	0.411389i
$131$	−736.107	−	254.769i	−0.490946	−	0.169918i	0.0703675	−	0.997521i	$-0.477583\pi$
$131$	−736.107	−	254.769i	−0.490946	−	0.169918i	−0.561314	+	0.827603i	$0.689704\pi$
$132$	1023.52	−	608.426i	0.674891	−	0.401187i
$133$	−353.458	+	1456.97i	−0.230441	+	0.949892i
$134$	417.287	−	913.730i	0.269015	−	0.589062i
$135$	778.835	+	916.115i	0.496529	+	0.584049i
$136$	−1277.84	−	1988.35i	−0.805687	−	1.25367i
$137$	974.481	−	1687.85i	0.607704	−	1.05257i	−0.383913	−	0.923369i	$-0.625424\pi$
$137$	974.481	−	1687.85i	0.607704	−	1.05257i	0.991618	−	0.129206i	$-0.0412428\pi$
$138$	−1176.52	−	182.829i	−0.725738	−	0.112778i
$139$	143.972	+	249.367i	0.0878528	+	0.152165i	0.906603	−	0.421984i	$-0.138666\pi$
$139$	143.972	+	249.367i	0.0878528	+	0.152165i	−0.818751	+	0.574149i	$0.805333\pi$
$140$	−187.943	+	364.558i	−0.113458	+	0.220077i
$141$	1503.82	+	939.618i	0.898186	+	0.561207i
$142$	−36.5639	−	51.3469i	−0.0216083	−	0.0303446i
$143$	−2599.89	+	763.398i	−1.52038	+	0.446423i
$144$	−561.420	+	68.0686i	−0.324896	+	0.0393915i
$145$	−203.682	+	176.491i	−0.116654	+	0.101081i
$146$	260.049	−	649.571i	0.147410	−	0.368212i
$147$	−852.146	+	307.130i	−0.478121	+	0.172324i
$148$	220.097	−	1141.97i	0.122242	−	0.634254i
$149$	−132.023	+	2771.50i	−0.0725888	+	1.52383i	0.609634	+	0.792683i	$0.291316\pi$
$149$	−132.023	+	2771.50i	−0.0725888	+	1.52383i	−0.682223	+	0.731144i	$0.738987\pi$
$150$	33.5436	+	555.352i	0.0182588	+	0.302295i
$151$	−847.143	−	2447.66i	−0.456553	−	1.31912i	−0.905037	−	0.425332i	$-0.860157\pi$
$151$	−847.143	−	2447.66i	−0.456553	−	1.31912i	0.448484	−	0.893791i	$-0.351964\pi$
$152$	−2688.47	−	789.407i	−1.43463	−	0.421246i
$153$	922.850	+	2461.81i	0.487634	+	1.30082i
$154$	1098.76	+	1268.04i	0.574941	+	0.663517i
$155$	−1502.09	−	143.432i	−0.778394	−	0.0743276i
$156$	−827.164	−	108.202i	−0.424527	−	0.0555327i
$157$	71.6905	+	750.777i	0.0364428	+	0.381647i	0.995233	+	0.0975301i	$0.0310942\pi$
$157$	71.6905	+	750.777i	0.0364428	+	0.381647i	−0.958790	+	0.284117i	$0.908300\pi$
$158$	1735.99	−	694.986i	0.874102	−	0.349938i
$159$	−1729.89	−	2143.03i	−0.862824	−	1.06889i
$160$	−1118.36	−	645.686i	−0.552589	−	0.319037i
$161$	33.6725	+	1432.19i	0.0164830	+	0.701071i
$162$	1507.99	+	138.960i	0.731350	+	0.0673935i
$163$	3051.39	−	1961.01i	1.46628	−	0.942320i	0.467996	−	0.883731i	$-0.344976\pi$
$163$	3051.39	−	1961.01i	1.46628	−	0.942320i	0.998282	−	0.0585890i	$-0.0186601\pi$
$164$	−426.561	+	542.417i	−0.203103	+	0.258266i
$165$	2628.60	+	872.466i	1.24022	+	0.411645i
$166$	−1719.34	+	1803.19i	−0.803896	+	0.843102i
$167$	1640.10	+	1167.91i	0.759968	+	0.541171i	0.893063	−	0.449933i	$-0.148552\pi$
$167$	1640.10	+	1167.91i	0.759968	+	0.541171i	−0.133095	+	0.991103i	$0.542491\pi$
$168$	481.466	+	1565.72i	0.221106	+	0.719036i
$169$	−277.212	−	110.979i	−0.126177	−	0.0505138i
$170$	488.430	−	1663.44i	0.220358	−	0.750470i
$171$	2737.99	+	1489.18i	1.22444	+	0.665967i
$172$	659.479	−	1026.17i	0.292353	−	0.454911i
$173$	−1243.83	−	2412.70i	−0.546629	−	1.06031i	−0.986731	−	0.162364i	$-0.948088\pi$
$173$	−1243.83	−	2412.70i	−0.546629	−	1.06031i	0.440102	−	0.897948i	$-0.354942\pi$
$174$	−27.9616	+	338.273i	−0.0121826	+	0.147382i
$175$	650.552	−	157.822i	0.281012	−	0.0681728i
$176$	−1023.92	+	805.218i	−0.438527	+	0.344861i
$177$	528.544	−	2306.43i	0.224451	−	0.979444i
$178$	132.038	−	1382.77i	0.0555994	−	0.582263i
$179$	995.337	+	3389.81i	0.415615	+	1.41545i	0.855688	+	0.517492i	$0.173134\pi$
$179$	995.337	+	3389.81i	0.415615	+	1.41545i	−0.440074	+	0.897962i	$0.645048\pi$
$180$	631.882	+	572.511i	0.261654	+	0.237069i
$181$	3365.00	+	483.814i	1.38187	+	0.198683i	0.792841	−	0.609429i	$-0.208601\pi$
$181$	3365.00	+	483.814i	1.38187	+	0.198683i	0.589029	+	0.808112i	$0.299510\pi$
$182$	−55.9334	−	1174.19i	−0.0227805	−	0.478222i
$183$	−273.773	+	620.250i	−0.110589	+	0.250548i
$184$	−2676.63	−	64.5006i	−1.07241	−	0.0258427i
$185$	2342.73	−	1352.57i	0.931031	−	0.537531i
$186$	−1478.73	+	1193.65i	−0.582932	+	0.470553i
$187$	4760.08	+	3743.37i	1.86145	+	1.46386i
$188$	1143.80	+	522.355i	0.443724	+	0.202642i
$189$	−156.113	−	1815.41i	−0.0600822	−	0.698686i
$190$	−853.778	−	1869.51i	−0.325998	−	0.713836i
$191$	2279.92	−	439.418i	0.863713	−	0.166467i	0.261891	−	0.965097i	$-0.415654\pi$
$191$	2279.92	−	439.418i	0.863713	−	0.166467i	0.601822	+	0.798630i	$0.294442\pi$
$192$	−2419.00	+	619.545i	−0.909251	+	0.232874i
$193$	−506.017	−	2085.83i	−0.188725	−	0.777935i	−0.984936	−	0.172917i	$-0.944681\pi$
$193$	−506.017	−	2085.83i	−0.188725	−	0.777935i	0.796211	−	0.605018i	$-0.206834\pi$
$194$	1351.55	+	260.490i	0.500183	+	0.0964024i
$195$	−1069.75	−	1618.89i	−0.392854	−	0.594517i
$196$	−570.919	+	294.329i	−0.208061	+	0.107263i
$197$	−2203.03	−	1908.94i	−0.796749	−	0.690387i	0.158118	−	0.987420i	$-0.449457\pi$
$197$	−2203.03	−	1908.94i	−0.796749	−	0.690387i	−0.954867	+	0.297033i	$0.904003\pi$
$198$	3134.99	−	1529.30i	1.12522	−	0.548902i
$199$	−2261.98	+	325.224i	−0.805767	+	0.115852i	−0.532876	−	0.846193i	$-0.678889\pi$
$199$	−2261.98	+	325.224i	−0.805767	+	0.115852i	−0.272891	+	0.962045i	$0.587980\pi$
$200$	236.774	+	1228.50i	0.0837121	+	0.434340i
$201$	−1228.52	+	2191.81i	−0.431109	+	0.769146i
$202$	1577.99	+	1504.61i	0.549639	+	0.524079i
$203$	406.552	−	38.8210i	0.140563	−	0.0134222i
$204$	875.311	+	1646.08i	0.300412	+	0.564946i
$205$	−1603.26	+	76.3728i	−0.546228	+	0.0260200i
$206$	−181.300			−0.0613193
$207$	2895.21	+	698.198i	0.972132	+	0.234435i
$208$	912.613			0.304223
$209$	7170.81	−	341.588i	2.37328	−	0.113053i
$210$	−636.677	+	1018.97i	−0.209214	+	0.334837i
$211$	664.263	−	63.4294i	0.216729	−	0.0206951i	0.0138731	−	0.999904i	$-0.495584\pi$
$211$	664.263	−	63.4294i	0.216729	−	0.0206951i	0.202855	+	0.979209i	$0.434978\pi$
$212$	−1413.44	−	1347.71i	−0.457903	−	0.436610i
$213$	80.5681	+	135.535i	0.0259175	+	0.0435994i
$214$	311.226	+	1614.79i	0.0994157	+	0.515817i
$215$	2808.44	−	403.792i	0.890855	−	0.128086i
$216$	3402.92	−	129.994i	1.07194	−	0.0409491i
$217$	1728.06	+	1497.37i	0.540591	+	0.468425i
$218$	−287.114	+	148.018i	−0.0892010	+	0.0459863i
$219$	−782.115	+	1565.70i	−0.241326	+	0.483106i
$220$	1928.49	+	371.685i	0.590993	+	0.113905i
$221$	−1000.24	−	4123.05i	−0.304450	−	1.25496i
$222$	918.162	−	3280.88i	0.277581	−	0.991883i
$223$	−4461.06	+	859.798i	−1.33962	+	0.258190i	−0.808194	−	0.588917i	$-0.799555\pi$
$223$	−4461.06	+	859.798i	−1.33962	+	0.258190i	−0.531423	+	0.847107i	$0.678342\pi$
$224$	812.917	+	1780.04i	0.242479	+	0.530955i
$225$	30.8160	−	1391.32i	0.00913066	−	0.412244i
$226$	4408.17	+	2013.14i	1.29746	+	0.592532i
$227$	1627.47	+	1279.86i	0.475855	+	0.374216i	0.827089	−	0.562071i	$-0.189995\pi$
$227$	1627.47	+	1279.86i	0.475855	+	0.374216i	−0.351234	+	0.936288i	$0.614238\pi$
$228$	2062.13	+	795.252i	0.598981	+	0.230995i
$229$	−3092.90	+	1785.69i	−0.892508	+	0.515290i	−0.874762	−	0.484553i	$-0.838982\pi$
$229$	−3092.90	+	1785.69i	−0.892508	+	0.515290i	−0.0177462	+	0.999843i	$0.505649\pi$
$230$	−1249.94	−	1514.75i	−0.358341	−	0.434259i
$231$	−2477.77	−	3387.45i	−0.705736	−	0.964840i
$232$	36.3181	+	762.411i	0.0102776	+	0.215753i
$233$	195.916	+	28.1685i	0.0550854	+	0.00792009i	0.169802	−	0.985478i	$-0.445687\pi$
$233$	195.916	+	28.1685i	0.0550854	+	0.00792009i	−0.114717	+	0.993398i	$0.536596\pi$
$234$	−2388.80	−	515.512i	−0.667353	−	0.144017i
$235$	824.018	+	2806.35i	0.228736	+	0.779004i
$236$	159.497	−	1670.33i	0.0439930	−	0.460716i
$237$	−4470.78	+	1374.78i	−1.22535	+	0.376801i
$238$	−2065.05	+	1623.97i	−0.562425	+	0.442296i
$239$	−4237.49	+	1028.00i	−1.14686	+	0.278226i	−0.763773	−	0.645484i	$-0.776656\pi$
$239$	−4237.49	+	1028.00i	−1.14686	+	0.278226i	−0.383091	+	0.923711i	$0.625140\pi$
$240$	−766.666	−	531.366i	−0.206200	−	0.142915i
$241$	2473.55	+	4798.01i	0.661142	+	1.28244i	0.946093	+	0.323894i	$0.104992\pi$
$241$	2473.55	+	4798.01i	0.661142	+	1.28244i	−0.284951	+	0.958542i	$0.591977\pi$
$242$	2848.82	−	4432.85i	0.756731	−	1.17750i
$243$	−3730.56	−	657.142i	−0.984837	−	0.173480i
$244$	−135.449	+	461.296i	−0.0355378	+	0.121031i
$245$	−1387.04	−	555.287i	−0.361693	−	0.144800i
$246$	−1376.25	+	1480.65i	−0.356692	+	0.383751i
$247$	−4097.00	−	2917.46i	−1.05541	−	0.751553i
$248$	−2948.99	+	3092.82i	−0.755086	+	0.791911i
$249$	4657.63	−	4140.81i	1.18540	−	1.05387i
$250$	−1943.00	+	2470.73i	−0.491545	+	0.625051i
$251$	−1434.08	+	921.630i	−0.360632	+	0.231764i	−0.708392	−	0.705820i	$-0.750579\pi$
$251$	−1434.08	+	921.630i	−0.360632	+	0.231764i	0.347760	+	0.937584i	$0.386942\pi$
$252$	−276.743	−	1262.11i	−0.0691792	−	0.315497i
$253$	6534.69	−	2086.80i	1.62384	−	0.518562i
$254$	−919.354	−	530.789i	−0.227108	−	0.131121i
$255$	−1560.35	+	4046.07i	−0.383188	+	0.993626i
$256$	−3968.50	+	1588.75i	−0.968872	+	0.387878i
$257$	−383.070	−	4011.69i	−0.0929777	−	0.973706i	−0.914785	−	0.403941i	$-0.867640\pi$
$257$	−383.070	−	4011.69i	−0.0929777	−	0.973706i	0.821807	−	0.569765i	$-0.192966\pi$
$258$	2172.99	−	2836.76i	0.524359	−	0.684530i
$259$	−4080.69	−	389.658i	−0.979002	−	0.0934834i
$260$	−901.071	−	1039.89i	−0.214931	−	0.248044i
$261$	139.409	−	837.505i	0.0330620	−	0.198622i
$262$	−1552.59	−	455.882i	−0.366104	−	0.107498i
$263$	−303.339	−	876.441i	−0.0711205	−	0.205489i	0.903839	−	0.427874i	$-0.140737\pi$
$263$	−303.339	−	876.441i	−0.0711205	−	0.205489i	−0.974959	+	0.222384i	$0.928616\pi$
$264$	6544.10	−	4324.30i	1.52561	−	1.00812i
$265$	216.150	−	4537.55i	0.0501057	−	1.05185i
$266$	−589.406	+	3058.13i	−0.135860	+	0.704910i
$267$	−614.084	+	3419.83i	−0.140754	+	0.783859i
$268$	−662.209	+	1654.12i	−0.150936	+	0.377020i
$269$	−4408.31	+	3819.82i	−0.999179	+	0.865794i	−0.990958	−	0.134172i	$-0.957162\pi$
$269$	−4408.31	+	3819.82i	−0.999179	+	0.865794i	−0.00822140	+	0.999966i	$0.502617\pi$
$270$	1706.62	+	1823.94i	0.384672	+	0.411116i
$271$	−6464.95	+	1898.28i	−1.44914	+	0.425507i	−0.909258	−	0.416232i	$-0.863350\pi$
$271$	−6464.95	+	1898.28i	−1.44914	+	0.425507i	−0.539885	+	0.841739i	$0.681532\pi$
$272$	−1183.06	−	1661.37i	−0.263726	−	0.370351i
$273$	−102.518	+	2938.60i	−0.0227277	+	0.651473i
$274$	1855.20	−	3598.58i	0.409038	−	0.793423i
$275$	−1602.73	−	2776.02i	−0.351449	−	0.608727i
$276$	2099.92	+	224.630i	0.457973	+	0.0489896i
$277$	3764.39	−	6520.11i	0.816535	−	1.41428i	−0.0916859	−	0.995788i	$-0.529226\pi$
$277$	3764.39	−	6520.11i	0.816535	−	1.41428i	0.908221	−	0.418492i	$-0.137441\pi$
$278$	323.387	+	503.200i	0.0697679	+	0.108561i
$279$	3932.21	−	2670.90i	0.843782	−	0.573127i
$280$	−1122.41	+	2457.73i	−0.239560	+	0.524562i
$281$	144.925	−	597.389i	0.0307669	−	0.126823i	−0.954357	−	0.298668i	$-0.903458\pi$
$281$	144.925	−	597.389i	0.0307669	−	0.126823i	0.985124	+	0.171845i	$0.0549729\pi$
$282$	3213.27	+	1801.05i	0.678536	+	0.380322i
$283$	−2380.93	−	824.047i	−0.500111	−	0.173090i	0.0653543	−	0.997862i	$-0.479182\pi$
$283$	−2380.93	−	824.047i	−0.500111	−	0.173090i	−0.565465	+	0.824772i	$0.691303\pi$
$284$	69.1157	+	87.8878i	0.0144411	+	0.0183633i
$285$	1743.12	+	4836.36i	0.362292	+	1.00520i
$286$	−5319.27	+	1841.02i	−1.09977	+	0.380635i
$287$	2046.15	+	1314.98i	0.420837	+	0.270456i
$288$	4010.72	−	681.263i	0.820604	−	0.139388i
$289$	−2991.85	+	3452.78i	−0.608967	+	0.702785i
$290$	−405.191	+	386.349i	−0.0820470	+	0.0782316i
$291$	−3315.54	−	927.862i	−0.667905	−	0.186915i
$292$	−405.918	+	1172.82i	−0.0813513	+	0.235049i
$293$	278.852	−	391.593i	0.0555998	−	0.0780790i	−0.785840	−	0.618430i	$-0.787769\pi$
$293$	278.852	−	391.593i	0.0555998	−	0.0780790i	0.841440	+	0.540351i	$0.181708\pi$
$294$	−1737.83	+	721.518i	−0.344736	+	0.143128i
$295$	3179.21	−	2263.91i	0.627460	−	0.446813i
$296$	1090.31	−	7583.25i	0.214097	−	1.48908i
$297$	−8130.19	+	3166.33i	−1.58842	+	0.618617i
$298$			5763.86i			1.12044i
$299$	−4502.51	−	1680.85i	−0.870858	−	0.325104i
$300$	−106.302	−	981.113i	−0.0204578	−	0.188815i
$301$	−3821.57	−	1970.16i	−0.731800	−	0.377269i
$302$	−1999.74	−	4995.11i	−0.381033	−	0.951776i
$303$	−3623.66	−	4075.94i	−0.687043	−	0.772793i
$304$	−2349.72	−	570.035i	−0.443308	−	0.107545i
$305$	−1017.23	+	464.554i	−0.190972	+	0.0872140i
$306$	2158.23	+	5016.98i	0.403195	+	0.937261i
$307$	−1162.60	−	8086.06i	−0.216134	−	1.50324i	−0.752126	−	0.659020i	$-0.770971\pi$
$307$	−1162.60	−	8086.06i	−0.216134	−	1.50324i	0.535992	−	0.844223i	$-0.319938\pi$
$308$	−2053.75	−	2153.91i	−0.379946	−	0.398476i
$309$	451.955	+	37.3585i	0.0832066	+	0.00687784i
$310$	−3130.99	−	149.147i	−0.573640	−	0.0273258i
$311$	−3272.27	−	155.877i	−0.596634	−	0.0284212i	−0.252907	−	0.967491i	$-0.581387\pi$
$311$	−3272.27	−	155.877i	−0.596634	−	0.0284212i	−0.343728	+	0.939069i	$0.611690\pi$
$312$	−5476.72	−	452.705i	−0.993776	−	0.0821453i
$313$	3537.64	+	3710.17i	0.638847	+	0.670003i	0.960957	−	0.276699i	$-0.0892405\pi$
$313$	3537.64	+	3710.17i	0.638847	+	0.670003i	−0.322110	+	0.946702i	$0.604392\pi$
$314$	222.966	+	1550.76i	0.0400723	+	0.278709i
$315$	1797.11	−	2408.96i	0.321447	−	0.430887i
$316$	−3017.08	+	1377.86i	−0.537102	+	0.245286i
$317$	−1701.81	−	412.855i	−0.301525	−	0.0731491i	0.0821423	−	0.996621i	$-0.473824\pi$
$317$	−1701.81	−	412.855i	−0.301525	−	0.0731491i	−0.383667	+	0.923471i	$0.625339\pi$
$318$	−3801.31	−	4275.75i	−0.670335	−	0.754001i
$319$	−726.820	−	1815.51i	−0.127568	−	0.318649i
$320$	−3660.90	−	1887.32i	−0.639532	−	0.329702i
$321$	−443.098	−	4089.57i	−0.0770446	−	0.711083i
$322$	211.433	+	2968.44i	0.0365922	+	0.513741i
$323$			11240.4i			1.93633i
$324$	−2683.50	−	118.930i	−0.460134	−	0.0203927i
$325$	−319.606	+	2222.91i	−0.0545494	+	0.379399i
$326$	6137.74	−	4370.67i	1.04275	−	0.742542i
$327$	746.234	−	309.824i	0.126198	−	0.0523954i
$328$	−2636.78	+	3702.85i	−0.443878	+	0.623340i
$329$	1449.61	−	4188.37i	0.242916	−	0.701861i
$330$	5540.53	+	1550.53i	0.924230	+	0.258648i
$331$	−3783.78	+	3607.83i	−0.628325	+	0.599107i	−0.935835	−	0.352438i	$-0.885353\pi$
$331$	−3783.78	+	3607.83i	−0.628325	+	0.599107i	0.307510	+	0.951545i	$0.400504\pi$
$332$	2894.05	−	3339.91i	0.478409	−	0.552113i
$333$	−2964.90	+	7989.56i	−0.487914	+	1.31479i
$334$	3518.61	+	2261.28i	0.576437	+	0.370454i
$335$	−3916.47	+	1355.50i	−0.638744	+	0.221072i
$336$	479.282	+	1329.79i	0.0778184	+	0.215911i
$337$	67.0553	+	85.2678i	0.0108390	+	0.0137829i	0.791442	−	0.611244i	$-0.209331\pi$
$337$	67.0553	+	85.2678i	0.0108390	+	0.0137829i	−0.780603	+	0.625027i	$0.785088\pi$
$338$	−586.179	−	202.878i	−0.0943311	−	0.0326483i
$339$	−10574.1	−	5926.82i	−1.69412	−	0.949559i
$340$	−724.982	+	2988.42i	−0.115640	+	0.476676i
$341$	4548.35	−	9959.50i	0.722308	−	1.58163i
$342$	5828.47	+	2819.38i	0.921543	+	0.445774i
$343$	3632.44	+	5652.19i	0.571818	+	0.889766i
$344$	4017.77	−	6958.98i	0.629720	−	1.09071i
$345$	2803.78	+	4033.61i	0.437538	+	0.629456i
$346$	−2819.41	−	4883.35i	−0.438070	−	0.758759i
$347$	3575.28	−	6935.07i	0.553115	−	1.07289i	−0.432141	−	0.901806i	$-0.642242\pi$
$347$	3575.28	−	6935.07i	0.553115	−	1.07289i	0.985256	−	0.171087i	$-0.0547281\pi$
$348$	20.9911	−	601.695i	0.00323345	−	0.0926846i
$349$	−212.976	−	299.084i	−0.0326658	−	0.0458727i	0.797920	−	0.602763i	$-0.205934\pi$
$349$	−212.976	−	299.084i	−0.0326658	−	0.0458727i	−0.830586	+	0.556891i	$0.811994\pi$
$350$	1334.28	−	391.781i	0.203773	−	0.0598331i
$351$	5848.70	+	1777.33i	0.889403	+	0.270276i
$352$	7081.63	−	6136.26i	1.07231	−	0.929159i
$353$	−1783.99	+	4456.18i	−0.268986	+	0.671894i	−0.999945	−	0.0105277i	$-0.996649\pi$
$353$	−1783.99	+	4456.18i	−0.268986	+	0.671894i	0.730959	+	0.682422i	$0.239073\pi$
$354$	868.744	−	4838.03i	0.130433	−	0.726380i
$355$	−49.2188	+	255.371i	−0.00735849	+	0.0381795i
$356$	−117.235	+	2461.06i	−0.0174535	+	0.366393i
$357$	5482.50	−	3622.80i	0.812786	−	0.537084i
$358$	2400.37	+	6935.40i	0.354367	+	1.02388i
$359$	8405.31	+	2468.02i	1.23570	+	0.362833i	0.833397	−	0.552674i	$-0.186393\pi$
$359$	8405.31	+	2468.02i	1.23570	+	0.362833i	0.402300	+	0.915508i	$0.368211\pi$
$360$	4337.28	+	3569.10i	0.634985	+	0.522523i
$361$	4234.61	+	4887.00i	0.617380	+	0.712495i
$362$	7030.13	+	671.296i	1.02071	+	0.0974656i
$363$	−8015.12	+	10463.4i	−1.15891	+	1.51291i
$364$	198.200	+	2075.64i	0.0285398	+	0.298882i
$365$	−2680.01	+	1072.91i	−0.384324	+	0.153860i
$366$	−506.766	+	1314.07i	−0.0723745	+	0.187671i
$367$	−10050.6	−	5802.74i	−1.42953	−	0.825342i	−0.432450	−	0.901658i	$-0.642351\pi$
$367$	−10050.6	−	5802.74i	−1.42953	−	0.825342i	−0.997084	+	0.0763162i	$0.975684\pi$
$368$	−2309.75	+	54.3050i	−0.327185	+	0.00769251i
$369$	3735.88	−	3407.45i	0.527052	−	0.480718i
$370$	4727.42	−	3038.13i	0.664235	−	0.426878i
$371$	−4255.27	+	5411.02i	−0.595479	+	0.757213i
$372$	2519.19	−	2239.65i	0.351112	−	0.312152i
$373$	−2289.01	+	2400.64i	−0.317749	+	0.333246i	−0.863167	−	0.504919i	$-0.831522\pi$
$373$	−2289.01	+	2400.64i	−0.317749	+	0.333246i	0.545418	+	0.838164i	$0.316371\pi$
$374$	10247.1	+	7296.92i	1.41675	+	1.00886i
$375$	5352.74	−	5758.80i	0.737105	−	0.793021i
$376$	7690.01	+	3078.62i	1.05474	+	0.422254i
$377$	−386.002	+	1314.60i	−0.0527323	+	0.179590i
$378$	−503.373	−	3751.51i	−0.0684939	−	0.510468i
$379$	1516.83	−	2360.24i	0.205579	−	0.319887i	−0.723119	−	0.690723i	$-0.757292\pi$
$379$	1516.83	−	2360.24i	0.205579	−	0.319887i	0.928698	+	0.370836i	$0.120929\pi$
$380$	1670.46	+	3240.25i	0.225508	+	0.437424i
$381$	2182.44	+	1512.62i	0.293464	+	0.203396i
$382$	4687.35	−	1137.14i	0.627816	−	0.152307i
$383$	4563.08	−	3588.45i	0.608779	−	0.478749i	−0.265540	−	0.964100i	$-0.585550\pi$
$383$	4563.08	−	3588.45i	0.608779	−	0.478749i	0.874320	+	0.485350i	$0.161308\pi$
$384$	1028.56	−	316.286i	0.136689	−	0.0420323i
$385$	658.029	−	6891.19i	0.0871071	−	0.912227i
$386$	−1256.15	−	4278.04i	−0.165638	−	0.564111i
$387$	−6001.49	+	6623.86i	−0.788302	+	0.870050i
$388$	−2416.59	−	347.453i	−0.316195	−	0.0454620i
$389$	−164.469	−	3452.63i	−0.0214368	−	0.450014i	−0.983913	−	0.178648i	$-0.942828\pi$
$389$	−164.469	−	3452.63i	−0.0214368	−	0.450014i	0.962476	−	0.271366i	$-0.0874754\pi$
$390$	−2379.73	−	3253.42i	−0.308980	−	0.422419i
$391$	2776.87	+	10375.6i	0.359162	+	1.34198i
$392$	−3664.43	+	2115.66i	−0.472147	+	0.272594i
$393$	3776.44	+	1456.37i	0.484724	+	0.186932i
$394$	−4759.94	−	3743.26i	−0.608635	−	0.478636i
$395$	−7017.83	−	3204.94i	−0.893938	−	0.408248i
$396$	−5425.34	+	2974.12i	−0.688468	+	0.377412i
$397$	−197.026	−	431.427i	−0.0249079	−	0.0545408i	0.896769	−	0.442499i	$-0.145908\pi$
$397$	−197.026	−	431.427i	−0.0249079	−	0.0545408i	−0.921677	+	0.387958i	$0.873181\pi$
$398$	−4661.42	+	898.415i	−0.587075	+	0.113149i
$399$	2099.46	−	7502.02i	0.263420	−	0.941280i
$400$	254.526	+	1049.17i	0.0318158	+	0.131146i
$401$	−1655.40	−	319.052i	−0.206151	−	0.0397324i	0.0851300	−	0.996370i	$-0.472869\pi$
$401$	−1655.40	−	319.052i	−0.206151	−	0.0397324i	−0.291281	+	0.956637i	$0.594082\pi$
$402$	−2332.50	+	4669.40i	−0.289390	+	0.579324i
$403$	−6818.15	+	3515.00i	−0.842770	+	0.434478i
$404$	−2922.79	−	2532.61i	−0.359936	−	0.311886i
$405$	−3878.51	−	4898.48i	−0.475864	−	0.601006i
$406$	839.751	−	120.738i	0.102651	−	0.0147589i
$407$	3714.79	+	19274.1i	0.452421	+	2.34738i
$408$	6275.57	+	10557.0i	0.761488	+	1.28100i
$409$	−4270.73	−	4072.13i	−0.516318	−	0.492308i	0.386525	−	0.922279i	$-0.373675\pi$
$409$	−4270.73	−	4072.13i	−0.516318	−	0.492308i	−0.902843	+	0.429971i	$0.858524\pi$
$410$	−3319.19	+	316.944i	−0.399812	+	0.0381775i
$411$	−5366.25	+	8588.45i	−0.644033	+	1.03075i
$412$	321.218	−	15.3015i	0.0384109	−	0.00182974i
$413$	−5914.26			−0.704654
$414$	6076.52	+	1162.57i	0.721365	+	0.138013i
$415$	10279.5			1.21591
$416$	−6557.48	+	312.371i	−0.772853	+	0.0368155i
$417$	−702.468	−	1321.04i	−0.0824941	−	0.155136i
$418$	14845.5	−	1417.58i	1.73713	−	0.165875i
$419$	−8672.28	−	8269.00i	−1.01114	−	0.964122i	−0.0117834	−	0.999931i	$-0.503751\pi$
$419$	−8672.28	−	8269.00i	−1.01114	−	0.964122i	−0.999359	+	0.0358085i	$0.988599\pi$
$420$	1042.03	−	1859.10i	0.121062	−	0.215988i
$421$	−1075.06	−	5577.94i	−0.124454	−	0.645730i	−0.989558	−	0.144136i	$-0.953960\pi$
$421$	−1075.06	−	5577.94i	−0.124454	−	0.645730i	0.865104	−	0.501593i	$-0.167253\pi$
$422$	1372.06	−	197.273i	0.158272	−	0.0227561i
$423$	−7639.09	−	5151.87i	−0.878074	−	0.592181i
$424$	−9722.98	−	8425.01i	−1.11365	−	0.964987i
$425$	4461.03	−	2299.82i	0.509157	−	0.262489i
$426$	180.574	+	273.268i	0.0205372	+	0.0310795i
$427$	1663.97	+	320.705i	0.188584	+	0.0363466i
$428$	−687.700	−	2834.74i	−0.0776664	−	0.320145i
$429$	13639.5	−	3493.31i	1.53502	−	0.393143i
$430$	5787.54	−	1115.46i	0.649070	−	0.125098i
$431$	−1523.91	−	3336.91i	−0.170312	−	0.372931i	0.805159	−	0.593059i	$-0.202080\pi$
$431$	−1523.91	−	3336.91i	−0.170312	−	0.372931i	−0.975471	+	0.220128i	$0.929353\pi$
$432$	2927.78	−	251.769i	0.326072	−	0.0280399i
$433$	2702.47	+	1234.18i	0.299936	+	0.136976i	0.559699	−	0.828696i	$-0.310917\pi$
$433$	2702.47	+	1234.18i	0.299936	+	0.136976i	−0.259762	+	0.965673i	$0.583644\pi$
$434$	3733.70	+	2936.21i	0.412956	+	0.324753i
$435$	1089.69	−	879.618i	0.120108	−	0.0969528i
$436$	496.201	−	286.482i	0.0545040	−	0.0314679i
$437$	10542.8	+	7140.06i	1.15407	+	0.781591i
$438$	−1468.11	+	3326.11i	−0.160158	+	0.362848i
$439$	−273.053	−	5732.09i	−0.0296859	−	0.623184i	−0.963867	−	0.266384i	$-0.914171\pi$
$439$	−273.053	−	5732.09i	−0.0296859	−	0.623184i	0.934181	−	0.356799i	$-0.116132\pi$
$440$	12806.1	+	1841.24i	1.38751	+	0.199494i
$441$	4480.83	−	1440.54i	0.483839	−	0.155549i
$442$	−2483.02	−	8456.38i	−0.267206	−	0.910020i
$443$	−38.0995	+	398.996i	−0.00408615	+	0.0427920i	−0.997285	−	0.0736381i	$-0.976539\pi$
$443$	−38.0995	+	398.996i	−0.00408615	+	0.0427920i	0.993199	+	0.116430i	$0.0371451\pi$
$444$	−1349.85	+	5890.38i	−0.144282	+	0.629606i
$445$	−4504.87	+	3542.67i	−0.479890	+	0.377390i
$446$	−9171.62	+	2225.01i	−0.973742	+	0.236227i
$447$	1187.70	−	14368.5i	0.125674	−	1.52037i
$448$	2859.96	+	5547.54i	0.301608	+	0.585037i
$449$	−2611.17	+	4063.06i	−0.274452	+	0.427055i	−0.950929	−	0.309408i	$-0.899869\pi$
$449$	−2611.17	+	4063.06i	−0.274452	+	0.427055i	0.676478	+	0.736463i	$0.263506\pi$
$450$	−73.5808	−	2890.02i	−0.00770807	−	0.302748i
$451$	3281.24	−	11174.9i	0.342589	−	1.16675i
$452$	−7980.07	−	3194.74i	−0.830422	−	0.332451i
$453$	3955.77	+	12864.1i	0.410284	+	1.33424i
$454$	3503.47	+	2494.81i	0.362172	+	0.257902i
$455$	−3346.86	+	3510.09i	−0.344842	+	0.361660i
$456$	13818.2	+	4586.44i	1.41907	+	0.471009i
$457$	790.570	−	1005.29i	0.0809219	−	0.102901i	−0.743907	−	0.668284i	$-0.767029\pi$
$457$	790.570	−	1005.29i	0.0809219	−	0.102901i	0.824828	+	0.565383i	$0.191272\pi$
$458$	−6241.20	+	4010.97i	−0.636751	+	0.409215i
$459$	−4346.36	−	12951.3i	−0.441984	−	1.31703i
$460$	2342.42	+	2578.26i	0.237425	+	0.261331i
$461$	10738.7	+	6200.01i	1.08493	+	0.626385i	0.932222	−	0.361887i	$-0.117867\pi$
$461$	10738.7	+	6200.01i	1.08493	+	0.626385i	0.152708	+	0.988271i	$0.451201\pi$
$462$	−5476.15	−	6783.99i	−0.551458	−	0.683159i
$463$	4936.75	−	1976.37i	0.495529	−	0.198380i	−0.110417	−	0.993885i	$-0.535219\pi$
$463$	4936.75	−	1976.37i	0.495529	−	0.198380i	0.605947	+	0.795505i	$0.292795\pi$
$464$	62.6082	+	655.663i	0.00626403	+	0.0655999i
$465$	7774.37	+	1016.97i	0.775329	+	0.101421i
$466$	409.307	+	39.0841i	0.0406884	+	0.00388527i
$467$	11093.7	+	12802.8i	1.09926	+	1.26862i	0.960497	+	0.278290i	$0.0897675\pi$
$467$	11093.7	+	12802.8i	1.09926	+	1.26862i	0.138764	+	0.990325i	$0.455687\pi$
$468$	4275.86	+	711.746i	0.422332	+	0.0703002i
$469$	6025.83	+	1769.34i	0.593277	+	0.174202i
$470$	1987.21	+	5741.67i	0.195028	+	0.563496i
$471$	−236.273	−	3911.77i	−0.0231144	−	0.382685i
$472$	525.941	−	11040.9i	0.0512890	−	1.07669i
$473$	−3896.28	+	20215.8i	−0.378755	+	1.96517i
$474$	−9140.90	+	3294.56i	−0.885771	+	0.319249i
$475$	2211.37	−	5523.72i	0.213609	−	0.533570i
$476$	3521.68	−	3051.55i	0.339109	−	0.293840i
$477$	8595.05	+	11442.1i	0.825032	+	1.09832i
$478$	−8691.10	+	2551.94i	−0.831635	+	0.244190i
$479$	1553.94	+	2182.21i	0.148229	+	0.208158i	0.882014	−	0.471224i	$-0.156188\pi$
$479$	1553.94	+	2182.21i	0.148229	+	0.208158i	−0.733785	+	0.679382i	$0.762248\pi$
$480$	5690.66	+	3555.65i	0.541129	+	0.338109i
$481$	6301.58	−	12223.4i	0.597354	−	1.15870i
$482$	5606.82	+	9711.29i	0.529841	+	0.917712i
$483$	84.6029	−	7443.46i	0.00797011	−	0.701219i
$484$	−4673.26	+	8094.33i	−0.438886	+	0.760174i
$485$	−3070.23	−	4777.36i	−0.287447	−	0.447276i
$486$	−7805.79	−	994.816i	−0.728555	−	0.0928513i
$487$	−3973.65	+	8701.08i	−0.369740	+	0.809617i	0.629722	+	0.776820i	$0.283169\pi$
$487$	−3973.65	+	8701.08i	−0.369740	+	0.809617i	−0.999462	+	0.0327968i	$0.989559\pi$
$488$	−746.670	+	3077.82i	−0.0692627	+	0.285505i
$489$	−16201.1	+	9630.70i	−1.49824	+	0.890624i
$490$	−2932.97	−	1015.11i	−0.270404	−	0.0935877i
$491$	−2365.71	−	3008.25i	−0.217440	−	0.276498i	0.665080	−	0.746772i	$-0.268397\pi$
$491$	−2365.71	−	3008.25i	−0.217440	−	0.276498i	−0.882520	+	0.470274i	$0.844155\pi$
$492$	2313.40	−	2739.49i	0.211984	−	0.251028i
$493$	2893.57	−	1001.47i	0.264340	−	0.0914890i
$494$	−8789.57	−	5648.71i	−0.800529	−	0.514469i
$495$	−13492.2	−	5006.92i	−1.22511	−	0.454635i
$496$	−2414.87	+	2786.91i	−0.218611	+	0.252290i
$497$	285.223	−	271.959i	0.0257424	−	0.0245454i
$498$	9255.20	−	9052.48i	0.832802	−	0.814561i
$499$	5021.68	−	14509.2i	0.450504	−	1.30164i	−0.459917	−	0.887962i	$-0.652121\pi$
$499$	5021.68	−	14509.2i	0.450504	−	1.30164i	0.910421	−	0.413683i	$-0.135758\pi$
$500$	3233.99	−	4541.50i	0.289256	−	0.406204i
$501$	−8305.44	−	6362.07i	−0.740638	−	0.567338i
$502$	−2884.60	+	2054.11i	−0.256466	+	0.182629i
$503$	634.317	−	4411.77i	0.0562282	−	0.391076i	−0.942201	−	0.335048i	$-0.891247\pi$
$503$	634.317	−	4411.77i	0.0562282	−	0.391076i	0.998429	−	0.0560277i	$-0.0178435\pi$
$504$	−2216.59	−	8218.01i	−0.195902	−	0.726308i
$505$		−	8995.70i		−	0.792680i
$506$	13353.1	−	4975.99i	1.17316	−	0.437173i
$507$	1419.45	+	626.534i	0.124340	+	0.0548823i
$508$	1673.66	+	862.832i	0.146175	+	0.0753583i
$509$	5814.97	+	14525.1i	0.506373	+	1.26486i	0.932819	+	0.360346i	$0.117341\pi$
$509$	5814.97	+	14525.1i	0.506373	+	1.26486i	−0.426445	+	0.904513i	$0.640234\pi$
$510$	−2837.77	+	8549.74i	−0.246389	+	0.742331i
$511$	4251.20	+	1031.33i	0.368027	+	0.0892825i
$512$	−6570.49	+	3000.64i	−0.567143	+	0.259006i
$513$	−13948.6	−	8229.33i	−1.20048	−	0.708253i
$514$	−1191.39	−	8286.32i	−0.102238	−	0.711078i
$515$	516.187	+	541.361i	0.0441668	+	0.0463208i
$516$	−3610.58	+	5209.41i	−0.308036	+	0.444441i
$517$	−21198.8	−	1009.82i	−1.80333	−	0.0859033i
$518$	−8505.86	−	405.184i	−0.721479	−	0.0343683i
$519$	6022.11	+	12754.5i	0.509328	+	1.07873i
$520$	−6255.07	−	6560.12i	−0.527505	−	0.553232i
$521$	371.755	+	2585.62i	0.0312608	+	0.217424i	0.999464	−	0.0327419i	$-0.0104239\pi$
$521$	371.755	+	2585.62i	0.0312608	+	0.217424i	−0.968203	+	0.250166i	$0.919515\pi$
$522$	206.488	−	1751.59i	0.0173137	−	0.146867i
$523$	−4514.14	+	2061.54i	−0.377418	+	0.172361i	−0.595086	−	0.803662i	$-0.702882\pi$
$523$	−4514.14	+	2061.54i	−0.377418	+	0.172361i	0.217669	+	0.976023i	$0.430155\pi$
$524$	2789.28	+	676.671i	0.232538	+	0.0564132i
$525$	−3406.91	+	701.712i	−0.283218	+	0.0583338i
$526$	−716.054	−	1788.62i	−0.0593563	−	0.148265i
$527$	15237.6	+	7855.52i	1.25951	+	0.649320i
$528$	5463.07	−	3995.99i	0.450284	−	0.329362i
$529$	11495.5	+	3986.17i	0.944809	+	0.327622i
$530$		−	9436.70i		−	0.773404i
$531$	−3162.57	+	11881.5i	−0.258463	+	0.971023i
$532$	786.177	−	5467.98i	0.0640697	−	0.445615i
$533$	−6646.70	+	4733.09i	−0.540151	+	0.384640i
$534$	−936.185	+	7156.79i	−0.0758664	+	0.579971i
$535$	3935.66	−	5526.86i	0.318043	−	0.446630i
$536$	−3838.90	+	11091.8i	−0.309357	+	0.893829i
$537$	−4554.66	−	17783.6i	−0.366012	−	1.42908i
$538$	−8769.59	+	8361.79i	−0.702758	+	0.670078i
$539$	7099.40	−	8193.14i	0.567333	−	0.654738i
$540$	−3177.64	−	3087.52i	−0.253229	−	0.246048i
$541$	12532.6	+	8054.19i	0.995965	+	0.640068i	0.933724	−	0.357993i	$-0.116539\pi$
$541$	12532.6	+	8054.19i	0.995965	+	0.640068i	0.0622411	+	0.998061i	$0.480175\pi$
$542$	−13227.0	+	4577.91i	−1.04825	+	0.362801i
$543$	−17386.8	−	3122.06i	−1.37410	−	0.246741i
$544$	9069.39	+	11532.7i	0.714792	+	0.908932i
$545$	1259.43	+	435.894i	0.0989875	+	0.0342599i
$546$	77.7391	+	6107.67i	0.00609327	+	0.478726i
$547$	−2853.95	+	11764.2i	−0.223083	+	0.919560i	0.744625	+	0.667484i	$0.232629\pi$
$547$	−2853.95	+	11764.2i	−0.223083	+	0.919560i	−0.967707	+	0.252076i	$0.918887\pi$
$548$	−2983.22	+	6532.35i	−0.232549	+	0.509212i
$549$	1534.07	−	3171.36i	0.119258	−	0.246540i
$550$	−3600.03	−	5601.76i	−0.279102	−	0.434290i
$551$	1814.97	−	3143.62i	0.140327	−	0.243054i
$552$	13888.1	+	819.866i	1.07086	+	0.0632171i
$553$	5845.48	+	10124.7i	0.449503	+	0.778562i
$554$	7166.56	−	13901.2i	0.549599	−	1.06607i
$555$	−12410.8	+	6599.49i	−0.949207	+	0.504744i
$556$	−615.430	−	864.251i	−0.0469425	−	0.0659216i
$557$	5281.69	−	1550.84i	0.401782	−	0.117974i	−0.0745975	−	0.997214i	$-0.523767\pi$
$557$	5281.69	−	1550.84i	0.401782	−	0.117974i	0.476379	+	0.879240i	$0.341949\pi$
$558$	7895.26	−	5930.73i	0.598984	−	0.449942i
$559$	10900.9	−	9445.70i	0.824794	−	0.714688i
$560$	−866.536	+	2164.50i	−0.0653890	+	0.163334i
$561$	−24040.9	−	20301.7i	−1.80928	−	1.52787i
$562$	241.668	−	1253.89i	0.0181391	−	0.0941145i
$563$	240.265	−	5043.79i	0.0179857	−	0.377567i	−0.971872	−	0.235508i	$-0.924325\pi$
$563$	240.265	−	5043.79i	0.0179857	−	0.377567i	0.989858	−	0.142059i	$-0.0453724\pi$
$564$	−5845.11	−	2919.81i	−0.436389	−	0.217989i
$565$	−6539.43	−	18894.5i	−0.486931	−	1.40690i
$566$	−5021.83	−	1474.54i	−0.372939	−	0.109505i
$567$	481.803	+	9455.70i	0.0356857	+	0.700356i
$568$	482.335	+	556.644i	0.0356308	+	0.0411202i
$569$	2918.24	+	278.658i	0.215007	+	0.0205307i	0.202004	−	0.979385i	$-0.435255\pi$
$569$	2918.24	+	278.658i	0.215007	+	0.0205307i	0.0130034	+	0.999915i	$0.495861\pi$
$570$	4094.97	+	9863.05i	0.300911	+	0.724768i
$571$	−636.785	−	6668.71i	−0.0466701	−	0.488751i	−0.988345	−	0.152228i	$-0.951355\pi$
$571$	−636.785	−	6668.71i	−0.0466701	−	0.488751i	0.941675	−	0.336523i	$-0.109251\pi$
$572$	9269.03	−	3710.76i	0.677548	−	0.271249i
$573$	−11919.2	+	1868.85i	−0.868992	+	0.136252i
$574$	4375.69	+	2526.31i	0.318184	+	0.183704i
$575$	676.623	−	5645.02i	0.0490732	−	0.409415i
$576$	12674.1	−	2779.05i	0.916818	−	0.201031i
$577$	−19376.4	+	12452.4i	−1.39801	+	0.898443i	−0.999822	−	0.0188627i	$-0.993995\pi$
$577$	−19376.4	+	12452.4i	−1.39801	+	0.898443i	−0.398183	+	0.917306i	$0.630359\pi$
$578$	−5866.75	+	7460.18i	−0.422188	+	0.536856i
$579$	2249.86	+	10923.4i	0.161487	+	0.784042i
$580$	685.289	−	718.710i	0.0490605	−	0.0514531i
$581$	−12688.7	−	9035.59i	−0.906053	−	0.645197i
$582$	−6971.39	−	1597.58i	−0.496518	−	0.113783i
$583$	30601.2	+	12250.9i	2.17388	+	0.870290i
$584$	−2303.35	+	7844.50i	−0.163208	+	0.555835i
$585$	5261.92	+	8600.67i	0.371887	+	0.607853i
$586$	539.907	−	840.112i	0.0380603	−	0.0592230i
$587$	−7573.57	−	14690.7i	−0.532529	−	1.03296i	−0.989642	−	0.143554i	$-0.954147\pi$
$587$	−7573.57	−	14690.7i	−0.532529	−	1.03296i	0.457113	−	0.889408i	$-0.348883\pi$
$588$	3018.10	−	1425.02i	0.211674	−	0.0999435i
$589$	19750.3	−	4791.38i	1.38166	−	0.335187i
$590$	6373.03	−	5011.81i	0.444701	−	0.349717i
$591$	11094.5	+	10312.2i	0.772194	+	0.717746i
$592$	628.417	−	6581.08i	0.0436280	−	0.456893i
$593$	−3278.59	−	11165.9i	−0.227041	−	0.773232i	−0.991675	−	0.128767i	$-0.958898\pi$
$593$	−3278.59	−	11165.9i	−0.227041	−	0.773232i	0.764634	−	0.644465i	$-0.222920\pi$
$594$	−16557.0	+	7373.69i	−1.14367	+	0.509337i
$595$	10728.6	+	1542.55i	0.739212	+	0.106283i
$596$	−486.463	−	10212.1i	−0.0334334	−	0.701853i
$597$	11805.4	−	1279.09i	0.809316	−	0.0876880i
$598$	−9508.75	−	3042.69i	−0.650237	−	0.208068i
$599$	−8439.45	+	4872.52i	−0.575670	+	0.332363i	−0.759411	−	0.650611i	$-0.774513\pi$
$599$	−8439.45	+	4872.52i	−0.575670	+	0.332363i	0.183741	+	0.982975i	$0.441179\pi$
$600$	−1007.00	−	6422.48i	−0.0685178	−	0.436994i
$601$	928.177	+	729.927i	0.0629969	+	0.0495413i	0.649161	−	0.760651i	$-0.275120\pi$
$601$	928.177	+	729.927i	0.0629969	+	0.0495413i	−0.586164	+	0.810192i	$0.699363\pi$
$602$	−8124.43	−	3710.30i	−0.550045	−	0.251197i
$603$	6776.76	−	11159.5i	0.457664	−	0.753648i
$604$	3964.62	+	8681.30i	0.267083	+	0.584830i
$605$	−21347.4	+	4114.38i	−1.43454	+	0.276485i
$606$	−7921.91	−	8099.31i	−0.531032	−	0.542924i
$607$	1497.77	+	6173.90i	0.100153	+	0.412835i	0.999713	−	0.0239618i	$-0.00762801\pi$
$607$	1497.77	+	6173.90i	0.100153	+	0.412835i	−0.899560	+	0.436797i	$0.856113\pi$
$608$	17078.7	+	3291.66i	1.13920	+	0.219563i
$609$	−2118.26	+	127.944i	−0.140946	+	0.00851322i
$610$	−2064.82	+	1064.49i	−0.137052	+	0.0706554i
$611$	11237.1	+	9737.02i	0.744035	+	0.644710i
$612$	−4247.27	−	8706.68i	−0.280532	−	0.575076i
$613$	−17917.1	+	2576.09i	−1.18053	+	0.169734i	−0.704506	−	0.709698i	$-0.748831\pi$
$613$	−17917.1	+	2576.09i	−1.18053	+	0.169734i	−0.476023	+	0.879433i	$0.657922\pi$
$614$	−3211.63	−	16663.5i	−0.211092	−	1.09525i
$615$	8339.57	−	106.147i	0.546803	−	0.00695977i
$616$	−14189.0	−	13529.2i	−0.928069	−	0.884912i
$617$	5076.10	−	484.709i	0.331209	−	0.0316266i	0.0718731	−	0.997414i	$-0.477102\pi$
$617$	5076.10	−	484.709i	0.331209	−	0.0316266i	0.259336	+	0.965787i	$0.416496\pi$
$618$	941.491	+	32.8454i	0.0612821	+	0.00213792i
$619$	−22460.0	+	1069.90i	−1.45839	+	0.0694716i	−0.761713	−	0.647915i	$-0.775641\pi$
$619$	−22460.0	+	1069.90i	−1.45839	+	0.0694716i	−0.696675	+	0.717387i	$0.745338\pi$
$620$	5559.92			0.360148
$621$	−14908.3	−	4150.25i	−0.963367	−	0.268187i
$622$	−6805.30			−0.438694
$623$	8674.63	−	413.224i	0.557852	−	0.0265738i
$624$	−4739.19	−	165.334i	−0.304038	−	0.0106069i
$625$	6495.86	−	620.279i	0.415735	−	0.0396979i
$626$	7707.25	+	7348.85i	0.492083	+	0.469200i
$627$	−37299.9	+	474.757i	−2.37578	+	0.0302392i
$628$	−525.922	−	2728.74i	−0.0334181	−	0.173390i
$629$	−30421.1	+	4373.89i	−1.92841	+	0.277263i
$630$	3490.86	−	5176.18i	0.220761	−	0.327340i
$631$	−21927.0	−	18999.8i	−1.38336	−	1.19869i	−0.955554	−	0.294816i	$-0.904742\pi$
$631$	−21927.0	−	18999.8i	−1.38336	−	1.19869i	−0.427805	−	0.903871i	$-0.640713\pi$
$632$	−19420.7	+	10012.1i	−1.22233	+	0.630157i
$633$	−3461.00	+	209.047i	−0.217318	+	0.0131262i
$634$	−3572.04	−	688.454i	−0.223760	−	0.0431262i
$635$	1032.59	+	4256.41i	0.0645311	+	0.266001i
$636$	7095.83	+	7254.73i	0.442402	+	0.452309i
$637$	−7458.07	+	1437.42i	−0.463892	+	0.0894079i
$638$	−1687.59	−	3695.31i	−0.104721	−	0.229308i
$639$	−393.835	−	718.427i	−0.0243817	−	0.0444766i
$640$	1614.54	+	737.337i	0.0997193	+	0.0455403i
$641$	19955.7	+	15693.3i	1.22965	+	0.967004i	0.999980	−	0.00626537i	$-0.00199434\pi$
$641$	19955.7	+	15693.3i	1.22965	+	0.967004i	0.229666	+	0.973270i	$0.426237\pi$
$642$	−1323.65	−	8441.99i	−0.0813710	−	0.518970i
$643$	8836.61	−	5101.82i	0.541962	−	0.312902i	−0.203912	−	0.978989i	$-0.565366\pi$
$643$	8836.61	−	5101.82i	0.541962	−	0.312902i	0.745874	+	0.666087i	$0.232032\pi$
$644$	−625.138	−	5241.48i	−0.0382514	−	0.320719i
$645$	−14657.3	+	1588.10i	−0.894779	+	0.0969477i
$646$	1111.04	+	23323.7i	0.0676679	+	1.42052i
$647$	13216.9	+	1900.30i	0.803107	+	0.115469i	0.531631	−	0.846976i	$-0.321579\pi$
$647$	13216.9	+	1900.30i	0.803107	+	0.115469i	0.271476	+	0.962445i	$0.412488\pi$
$648$	−17694.9	+	58.5665i	−1.07272	+	0.00355048i
$649$	7978.64	+	27172.7i	0.482572	+	1.64349i
$650$	−443.456	+	4644.08i	−0.0267597	+	0.280240i
$651$	−8702.53	−	8088.91i	−0.523931	−	0.486988i
$652$	−10505.7	+	8261.74i	−0.631032	+	0.496249i
$653$	12368.2	−	3000.50i	0.741204	−	0.179814i	0.152659	−	0.988279i	$-0.451216\pi$
$653$	12368.2	−	3000.50i	0.741204	−	0.179814i	0.588545	+	0.808465i	$0.299701\pi$
$654$	1517.80	−	716.639i	0.0907501	−	0.0428483i
$655$	3059.18	+	5933.98i	0.182492	+	0.353985i
$656$	−2120.72	+	3299.90i	−0.126220	+	0.196402i
$657$	4345.17	−	7988.98i	0.258023	−	0.474399i
$658$	2593.92	−	8834.06i	0.153680	−	0.523386i
$659$	11621.9	+	4652.71i	0.686988	+	0.275029i	0.688781	−	0.724970i	$-0.258146\pi$
$659$	11621.9	+	4652.71i	0.686988	+	0.275029i	−0.00179237	+	0.999998i	$0.500571\pi$
$660$	−9947.28	−	2279.53i	−0.586663	−	0.134441i
$661$	14764.7	+	10513.9i	0.868804	+	0.618673i	0.925092	−	0.379742i	$-0.123987\pi$
$661$	14764.7	+	10513.9i	0.868804	+	0.618673i	−0.0562883	+	0.998415i	$0.517927\pi$
$662$	−7494.67	+	7860.18i	−0.440013	+	0.461472i
$663$	4447.29	+	21592.2i	0.260510	+	1.26481i
$664$	17996.2	−	22884.0i	1.05179	−	1.33746i
$665$	10809.7	−	6946.96i	0.630348	−	0.405100i
$666$	−5362.39	+	16871.2i	−0.311995	+	0.981602i
$667$	898.713	−	3350.12i	0.0521714	−	0.194478i
$668$	−6424.95	−	3709.44i	−0.372139	−	0.214854i
$669$	23322.0	−	3656.74i	1.34780	−	0.211327i
$670$	−7992.61	+	3199.76i	−0.460868	+	0.184504i
$671$	−771.325	−	8077.68i	−0.0443765	−	0.464732i
$672$	−3898.99	−	9391.01i	−0.223820	−	0.539086i
$673$	31074.2	+	2967.23i	1.77983	+	0.169953i	0.932512	−	0.361140i	$-0.117612\pi$
$673$	31074.2	+	2967.23i	1.77983	+	0.169953i	0.847314	+	0.531093i	$0.178218\pi$
$674$	147.567	+	170.301i	0.00843331	+	0.00973256i
$675$	−412.088	+	7219.56i	−0.0234982	+	0.411675i
$676$	1055.68	+	309.977i	0.0600639	+	0.0176364i
$677$	−883.881	−	2553.81i	−0.0501777	−	0.144979i	0.917128	−	0.398594i	$-0.130502\pi$
$677$	−883.881	−	2553.81i	−0.0501777	−	0.144979i	−0.967305	+	0.253615i	$0.918380\pi$
$678$	−22526.9	−	11252.8i	−1.27602	−	0.637409i
$679$	−409.465	+	8595.72i	−0.0231426	+	0.485822i
$680$	−3833.72	+	19891.2i	−0.216201	+	1.12176i
$681$	−8219.58	−	6941.13i	−0.462518	−	0.390580i
$682$	8453.31	−	21115.3i	0.474624	−	1.18555i
$683$	4942.85	−	4283.01i	0.276915	−	0.239948i	−0.505319	−	0.862932i	$-0.668625\pi$
$683$	4942.85	−	4283.01i	0.276915	−	0.239948i	0.782235	+	0.622984i	$0.214080\pi$
$684$	−10564.5	−	4503.32i	−0.590563	−	0.251738i
$685$	−16027.3	+	4706.05i	−0.893975	+	0.262495i
$686$	8095.93	+	11369.1i	0.450589	+	0.632764i
$687$	16384.9	−	8712.72i	0.909931	−	0.483859i
$688$	3177.35	−	6163.20i	0.176069	−	0.341526i
$689$	−11546.8	−	19999.6i	−0.638459	−	1.10584i
$690$	6216.49	+	8092.53i	0.342982	+	0.446489i
$691$	9710.32	−	16818.8i	0.534585	−	0.925928i	−0.464599	−	0.885521i	$-0.653801\pi$
$691$	9710.32	−	16818.8i	0.534585	−	0.925928i	0.999183	−	0.0404066i	$-0.0128653\pi$
$692$	5407.43	+	8414.12i	0.297051	+	0.462221i
$693$	12253.3	+	18039.9i	0.671668	+	0.988859i
$694$	6733.14	−	14743.5i	0.368281	−	0.806422i
$695$	581.824	−	2398.31i	0.0317552	−	0.130897i
$696$	−50.4768	−	3965.78i	−0.00274902	−	0.215980i
$697$	17232.8	+	5964.33i	0.936497	+	0.324125i
$698$	−471.485	−	599.541i	−0.0255673	−	0.0325114i
$699$	−1012.29	−	181.772i	−0.0547758	−	0.00983585i
$700$	−2330.95	+	806.749i	−0.125859	+	0.0435604i
$701$	17075.4	+	10973.7i	0.920013	+	0.591257i	0.912662	−	0.408716i	$-0.134023\pi$
$701$	17075.4	+	10973.7i	0.920013	+	0.591257i	0.00735191	+	0.999973i	$0.497660\pi$
$702$	12311.6	+	3109.82i	0.661926	+	0.167197i
$703$	−23859.7	+	27535.6i	−1.28006	+	1.47727i
$704$	21629.6	−	20623.8i	1.15795	−	1.10410i
$705$	−3770.70	−	14722.6i	−0.201437	−	0.786505i
$706$	−3261.27	+	9422.82i	−0.173852	+	0.502312i
$707$	−7907.13	+	11104.0i	−0.420620	+	0.590678i
$708$	−1130.87	+	8645.09i	−0.0600293	+	0.458902i
$709$	−17282.2	+	12306.6i	−0.915438	+	0.651880i	−0.937541	−	0.347875i	$-0.886903\pi$
$709$	−17282.2	+	12306.6i	−0.915438	+	0.651880i	0.0221028	+	0.999756i	$0.492964\pi$
$710$	−76.8863	+	534.756i	−0.00406407	+	0.0282662i
$711$	23465.8	−	6329.28i	1.23774	−	0.333849i
$712$			16230.7i			0.854314i
$713$	17047.0	−	9301.90i	0.895394	−	0.488582i
$714$	11018.0	−	8059.15i	0.577504	−	0.422418i
$715$	20642.0	+	10641.7i	1.07967	+	0.556610i
$716$	−4838.18	−	12085.2i	−0.252530	−	0.630789i
$717$	22191.5	−	4570.73i	1.15587	−	0.238071i
$718$	17684.8	+	4290.29i	0.919208	+	0.222997i
$719$	−1920.45	+	877.040i	−0.0996116	+	0.0454911i	−0.464598	−	0.885522i	$-0.653801\pi$
$719$	−1920.45	+	877.040i	−0.0996116	+	0.0454911i	0.364986	+	0.931013i	$0.381074\pi$
$720$	3885.02	+	2898.27i	0.201092	+	0.150017i
$721$	−161.314	−	1121.96i	−0.00833237	−	0.0579529i
$722$	9269.79	+	9721.87i	0.477820	+	0.501123i
$723$	−11975.9	−	25364.2i	−0.616027	−	1.30471i
$724$	−12512.3	−	596.033i	−0.642286	−	0.0305959i
$725$	−1618.96	−	77.1208i	−0.0829336	−	0.00395061i
$726$	−15597.0	+	22503.6i	−0.797325	+	1.15040i
$727$	−7987.15	−	8376.68i	−0.407465	−	0.427337i	0.487742	−	0.872988i	$-0.337821\pi$
$727$	−7987.15	−	8376.68i	−0.407465	−	0.427337i	−0.895207	+	0.445651i	$0.852972\pi$
$728$	1954.77	+	13595.7i	0.0995174	+	0.692159i
$729$	19253.7	+	4088.39i	0.978190	+	0.207711i
$730$	−5454.92	+	2491.18i	−0.276569	+	0.126305i
$731$	−31326.8	−	7599.81i	−1.58504	−	0.384527i
$732$	786.956	−	2370.97i	0.0397359	−	0.119718i
$733$	−2476.44	−	6185.84i	−0.124788	−	0.311704i	0.852799	−	0.522240i	$-0.174903\pi$
$733$	−2476.44	−	6185.84i	−0.124788	−	0.311704i	−0.977586	+	0.210536i	$0.932479\pi$
$734$	−21428.4	−	11047.1i	−1.07757	−	0.555527i
$735$	7102.29	+	3134.88i	0.356424	+	0.157322i
$736$	16577.8	−	1180.79i	0.830255	−	0.0591364i
$737$		−	30072.3i		−	1.50302i
$738$	7415.08	−	7439.66i	0.369855	−	0.371081i
$739$	3201.31	−	22265.6i	0.159353	−	1.10833i	−0.740475	−	0.672084i	$-0.765399\pi$
$739$	3201.31	−	22265.6i	0.159353	−	1.10833i	0.899829	−	0.436244i	$-0.143691\pi$
$740$	−8119.39	+	5781.79i	−0.403344	+	0.287220i
$741$	20747.1	+	15892.6i	1.02856	+	0.787893i
$742$	−8294.76	+	11648.4i	−0.410391	+	0.576314i
$743$	−4155.78	+	12007.3i	−0.205196	+	0.592876i	−0.999900	−	0.0141212i	$-0.995505\pi$
$743$	−4155.78	+	12007.3i	−0.205196	+	0.592876i	0.794704	+	0.606997i	$0.207626\pi$
$744$	15874.4	−	15526.7i	0.782237	−	0.765103i
$745$	17210.9	−	16410.5i	0.846385	−	0.807027i
$746$	−4512.36	+	5207.54i	−0.221460	+	0.255579i
$747$	−24937.2	+	20659.4i	−1.22143	+	1.01190i
$748$	−18771.1	−	12063.5i	−0.917567	−	0.589684i
$749$	−9716.09	+	3362.77i	−0.473990	+	0.164049i
$750$	10537.6	−	12478.5i	0.513039	−	0.607533i
$751$	−3907.25	−	4968.47i	−0.189850	−	0.241414i	0.681805	−	0.731534i	$-0.261195\pi$
$751$	−3907.25	−	4968.47i	−0.189850	−	0.241414i	−0.871655	+	0.490120i	$0.836953\pi$
$752$	6754.74	+	2337.84i	0.327553	+	0.113367i
$753$	7614.16	−	4526.21i	0.368493	−	0.219049i
$754$	−671.006	+	2765.92i	−0.0324093	+	0.133593i
$755$	−9221.82	+	20193.0i	−0.444525	+	0.973375i
$756$	1208.47	+	6604.25i	0.0581372	+	0.317717i
$757$	−13918.4	−	21657.5i	−0.668261	−	1.03983i	−0.995488	−	0.0948881i	$-0.969751\pi$
$757$	−13918.4	−	21657.5i	−0.668261	−	1.03983i	0.327227	−	0.944946i	$-0.393886\pi$
$758$	2914.10	−	5047.38i	0.139637	−	0.241859i
$759$	−34312.7	+	9652.89i	−1.64094	+	0.461631i
$760$	12007.4	+	20797.5i	0.573099	+	0.992636i
$761$	14797.8	−	28703.8i	0.704889	−	1.36729i	−0.215583	−	0.976486i	$-0.569165\pi$
$761$	14797.8	−	28703.8i	0.704889	−	1.36729i	0.920472	−	0.390808i	$-0.127805\pi$
$762$	4678.04	+	2922.94i	0.222398	+	0.138959i
$763$	−1171.46	−	1645.08i	−0.0555827	−	0.0780550i
$764$	−8208.84	+	2410.33i	−0.388724	+	0.114140i
$765$	8835.90	−	20728.5i	0.417598	−	0.979661i
$766$	9113.61	−	7896.99i	0.429880	−	0.372493i
$767$	7374.19	−	18419.8i	0.347153	−	0.867147i
$768$	20896.2	−	7531.40i	0.981806	−	0.353862i
$769$	−5266.90	+	27327.3i	−0.246982	+	1.28147i	0.620583	+	0.784141i	$0.286896\pi$
$769$	−5266.90	+	27327.3i	−0.246982	+	1.28147i	−0.867565	+	0.497324i	$0.834316\pi$
$770$	684.248	−	14364.1i	0.0320241	−	0.672269i
$771$	1262.50	+	20902.1i	0.0589725	+	0.976356i
$772$	2586.64	+	7473.60i	0.120590	+	0.348421i
$773$	29139.9	+	8556.24i	1.35587	+	0.398120i	0.877305	−	0.479932i	$-0.159339\pi$
$773$	29139.9	+	8556.24i	1.35587	+	0.398120i	0.478565	+	0.878052i	$0.341157\pi$
$774$	−11798.3	+	14337.6i	−0.547906	+	0.665832i
$775$	−5942.54	−	6858.05i	−0.275435	−	0.317869i
$776$	−16010.2	−	1528.79i	−0.740637	−	0.0707222i
$777$	21120.4	+	2762.77i	0.975148	+	0.127560i
$778$	−682.541	−	7147.89i	−0.0314528	−	0.329389i
$779$	20069.7	−	8034.71i	0.923072	−	0.369542i
$780$	4490.86	+	5563.39i	0.206152	+	0.255386i
$781$	−1634.28	−	943.553i	−0.0748773	−	0.0432304i
$782$	6787.51	+	21254.7i	0.310385	+	0.971950i
$783$	−875.675	+	4323.90i	−0.0399669	+	0.197348i
$784$	−3071.66	+	1974.03i	−0.139926	+	0.0899250i
$785$	3995.75	−	5081.01i	0.181674	−	0.231018i
$786$	7980.00	+	2648.67i	0.362134	+	0.120197i
$787$	−28018.0	+	29384.5i	−1.26904	+	1.33093i	−0.350011	+	0.936746i	$0.613822\pi$
$787$	−28018.0	+	29384.5i	−1.26904	+	1.33093i	−0.919030	+	0.394187i	$0.871026\pi$
$788$	8749.33	+	6230.37i	0.395536	+	0.281660i
$789$	1416.46	+	4606.31i	0.0639128	+	0.207844i
$790$	−14878.7	−	5956.51i	−0.670074	−	0.268257i
$791$	−8535.96	+	29070.8i	−0.383696	+	1.30675i
$792$	−34766.9	+	21270.5i	−1.55983	+	0.954311i
$793$	−3073.55	+	4782.54i	−0.137635	+	0.214165i
$794$	−451.469	−	875.727i	−0.0201789	−	0.0391416i
$795$	−1944.52	+	23524.3i	−0.0867484	+	1.04946i
$796$	8183.04	−	1985.18i	0.364372	−	0.0883957i
$797$	15886.6	−	12493.3i	0.706061	−	0.555253i	−0.199278	−	0.979943i	$-0.563860\pi$
$797$	15886.6	−	12493.3i	0.706061	−	0.555253i	0.905339	+	0.424691i	$0.139617\pi$
$798$	3614.81	−	15774.1i	0.160355	−	0.699744i
$799$	3158.68	−	33079.2i	0.139858	−	1.46465i
$800$	−2187.98	−	7451.58i	−0.0966960	−	0.329316i
$801$	3808.49	−	17647.9i	0.167998	−	0.778475i
$802$	−3466.46	−	498.401i	−0.152625	−	0.0219441i
$803$	−996.695	−	20923.2i	−0.0438015	−	0.919507i
$804$	3738.52	−	8469.85i	0.163989	−	0.371528i
$805$	8261.76	−	9082.90i	0.361725	−	0.397677i
$806$	−13800.1	+	7967.49i	−0.603087	+	0.348192i
$807$	23584.3	−	19037.7i	1.02876	−	0.830431i
$808$	−20026.0	−	15748.6i	−0.871921	−	0.685686i
$809$	−6179.17	−	2821.93i	−0.268539	−	0.122638i	0.276595	−	0.960987i	$-0.410794\pi$
$809$	−6179.17	−	2821.93i	−0.268539	−	0.122638i	−0.545134	+	0.838349i	$0.683521\pi$
$810$	−8532.03	−	9780.88i	−0.370105	−	0.424278i
$811$	9208.64	+	20164.1i	0.398716	+	0.873067i	0.997399	+	0.0720806i	$0.0229639\pi$
$811$	9208.64	+	20164.1i	0.398716	+	0.873067i	−0.598682	+	0.800986i	$0.704309\pi$
$812$	−1477.64	+	284.791i	−0.0638607	+	0.0123081i
$813$	33916.3	−	8686.53i	1.46310	−	0.374723i
$814$	9613.24	+	39626.3i	0.413936	+	1.70627i
$815$	−30525.8	−	5883.36i	−1.31199	−	0.252865i
$816$	5842.63	+	8841.83i	0.250653	+	0.379321i
$817$	−33966.7	+	17511.1i	−1.45452	+	0.749859i
$818$	−9264.18	−	8027.46i	−0.395984	−	0.343122i
$819$	1064.75	−	15241.6i	0.0454278	−	0.650285i
$820$	5854.02	−	841.681i	0.249306	−	0.0358448i
$821$	4935.24	+	25606.4i	0.209794	+	1.08852i	0.922190	+	0.386737i	$0.126398\pi$
$821$	4935.24	+	25606.4i	0.209794	+	1.08852i	−0.712396	+	0.701778i	$0.752390\pi$
$822$	−10286.0	+	18351.3i	−0.436453	+	0.778680i
$823$	−5871.84	−	5598.78i	−0.248699	−	0.237134i	0.555467	−	0.831538i	$-0.312539\pi$
$823$	−5871.84	−	5598.78i	−0.248699	−	0.237134i	−0.804166	+	0.594404i	$0.797388\pi$
$824$	2108.84	−	201.370i	0.0891566	−	0.00851342i
$825$	7820.06	+	14706.2i	0.330012	+	0.620611i
$826$	−12272.0	+	584.587i	−0.516945	+	0.0246251i
$827$	33876.5			1.42443			0.712215	−	0.701962i	$-0.247692\pi$
$827$	33876.5			1.42443			0.712215	+	0.701962i	$0.247692\pi$
$828$	−10864.2	−	1546.94i	−0.455986	−	0.0649273i
$829$	25219.8			1.05660			0.528299	−	0.849058i	$-0.322830\pi$
$829$	25219.8			1.05660			0.528299	+	0.849058i	$0.322830\pi$
$830$	21329.8	−	1016.06i	0.892011	−	0.0424917i
$831$	−20729.7	+	33176.9i	−0.865348	+	1.38495i
$832$	−20843.6	+	1990.32i	−0.868536	+	0.0829351i
$833$	12285.0	+	11713.7i	0.510983	+	0.487222i
$834$	−1588.18	−	2671.70i	−0.0659404	−	0.110927i
$835$	−3265.83	−	16944.7i	−0.135352	−	0.702271i
$836$	−26182.9	+	3764.53i	−1.08320	+	0.155741i
$837$	−20903.8	+	13157.6i	−0.863252	+	0.543359i
$838$	−18812.1	−	16300.8i	−0.775483	−	0.671960i
$839$	4759.48	−	2453.68i	0.195847	−	0.100966i	−0.357514	−	0.933908i	$-0.616375\pi$
$839$	4759.48	−	2453.68i	0.195847	−	0.100966i	0.553361	+	0.832942i	$0.313345\pi$
$840$	6273.91	−	12559.6i	0.257703	−	0.515891i
$841$	22977.3	+	4428.51i	0.942118	+	0.181578i
$842$	−2782.07	−	11467.9i	−0.113868	−	0.469369i
$843$	−860.821	+	3075.98i	−0.0351699	+	0.125673i
$844$	−2414.30	+	465.318i	−0.0984640	+	0.0189774i
$845$	1063.14	+	2327.95i	0.0432817	+	0.0947738i
$846$	−16360.2	−	9934.96i	−0.664864	−	0.403748i
$847$	29967.1	+	13685.5i	1.21568	+	0.555183i
$848$	−8726.56	−	6862.64i	−0.353386	−	0.277906i
$849$	12214.9	+	4710.61i	0.493772	+	0.190421i
$850$	9029.23	−	5213.03i	0.364353	−	0.210359i
$851$	−15221.4	+	31311.3i	−0.613142	+	1.26127i
$852$	−342.995	−	468.922i	−0.0137920	−	0.0188556i
$853$	−714.725	−	15003.9i	−0.0286890	−	0.602256i	−0.966740	−	0.255760i	$-0.917674\pi$
$853$	−714.725	−	15003.9i	−0.0286890	−	0.602256i	0.938051	−	0.346496i	$-0.112629\pi$
$854$	3484.41	+	500.983i	0.139618	+	0.0200741i
$855$	−8175.80	−	25431.0i	−0.327025	−	1.01722i
$856$	−5413.66	−	18437.2i	−0.216162	−	0.736181i
$857$	−1451.36	+	15199.3i	−0.0578499	+	0.605832i	0.919340	+	0.393464i	$0.128723\pi$
$857$	−1451.36	+	15199.3i	−0.0578499	+	0.605832i	−0.977190	+	0.212367i	$0.931883\pi$
$858$	27956.5	−	8596.72i	1.11238	−	0.342060i
$859$	9242.85	−	7268.65i	0.367127	−	0.288712i	−0.417504	−	0.908675i	$-0.637095\pi$
$859$	9242.85	−	7268.65i	0.367127	−	0.288712i	0.784631	+	0.619963i	$0.212853\pi$
$860$	−10159.9	+	2464.77i	−0.402849	+	0.0977302i
$861$	−10387.4	−	7199.37i	−0.411152	−	0.284964i
$862$	−3491.92	−	6773.39i	−0.137976	−	0.267636i
$863$	−13340.6	+	20758.4i	−0.526211	+	0.818800i	−0.998020	−	0.0629010i	$-0.979965\pi$
$863$	−13340.6	+	20758.4i	−0.526211	+	0.818800i	0.471809	+	0.881701i	$0.343601\pi$
$864$	−20951.1	+	2811.19i	−0.824965	+	0.110693i
$865$	−6554.42	+	22322.3i	−0.257638	+	0.877435i
$866$	5729.56	+	2293.77i	0.224825	+	0.0900064i
$867$	16162.2	−	17388.3i	0.633099	−	0.681126i
$868$	−6862.98	−	4887.11i	−0.268369	−	0.191105i
$869$	38631.4	−	40515.4i	1.50803	−	1.58158i
$870$	2174.15	−	1932.90i	0.0847247	−	0.0753235i
$871$	−13023.9	+	16561.2i	−0.506655	+	0.644265i
$872$	3175.24	−	2040.61i	0.123311	−	0.0792473i
$873$	17049.5	+	5419.04i	0.660982	+	0.210088i
$874$	22581.8	+	13773.4i	0.873960	+	0.533058i
$875$	−17018.7	−	9825.76i	−0.657529	−	0.379624i
$876$	2320.41	−	6016.93i	0.0894969	−	0.232070i
$877$	11394.0	−	4561.48i	0.438710	−	0.175633i	−0.141784	−	0.989898i	$-0.545284\pi$
$877$	11394.0	−	4561.48i	0.438710	−	0.175633i	0.580494	+	0.814265i	$0.302860\pi$
$878$	−1133.16	−	11867.0i	−0.0435561	−	0.456140i
$879$	−1519.02	+	1983.02i	−0.0582882	+	0.0760930i
$880$	11113.7	+	1061.23i	0.425730	+	0.0406523i
$881$	−20251.5	−	23371.5i	−0.774452	−	0.893765i	0.222244	−	0.974991i	$-0.428662\pi$
$881$	−20251.5	−	23371.5i	−0.774452	−	0.893765i	−0.996696	+	0.0812262i	$0.974116\pi$
$882$	9155.25	−	3432.00i	0.349516	−	0.131022i
$883$	−4371.19	−	1283.50i	−0.166594	−	0.0489163i	0.197372	−	0.980329i	$-0.436759\pi$
$883$	−4371.19	−	1283.50i	−0.166594	−	0.0489163i	−0.363966	+	0.931412i	$0.618577\pi$
$884$	5112.99	+	14773.0i	0.194534	+	0.562070i
$885$	−16919.8	+	11180.5i	−0.642657	+	0.424664i
$886$	−39.6176	+	831.675i	−0.00150223	+	0.0315357i
$887$	−355.655	+	1845.31i	−0.0134630	+	0.0698529i	−0.988039	−	0.154205i	$-0.950718\pi$
$887$	−355.655	+	1845.31i	−0.0134630	+	0.0698529i	0.974576	+	0.224058i	$0.0719305\pi$
$888$	−7035.78	+	39182.2i	−0.265884	+	1.48071i
$889$	2466.74	−	6161.62i	0.0930617	−	0.232457i
$890$	−8997.35	+	7796.24i	−0.338867	+	0.293630i
$891$	42793.7	−	14969.8i	1.60903	−	0.562860i
$892$	16062.0	−	4716.23i	0.602910	−	0.177030i
$893$	−22850.4	−	32089.0i	−0.856283	−	1.20248i
$894$	1044.22	−	29931.7i	0.0390646	−	1.11976i
$895$	13874.9	−	26913.5i	0.518197	−	1.00516i
$896$	−1344.83	−	2329.31i	−0.0501423	−	0.0868491i
$897$	23077.0	+	9544.35i	0.858994	+	0.355269i
$898$	−5016.52	+	8688.87i	−0.186418	+	0.322886i
$899$	−2993.08	−	4657.33i	−0.111040	−	0.172782i
$900$	374.281	+	5114.17i	0.0138622	+	0.189414i
$901$	−21439.9	+	46946.9i	−0.792749	+	1.73588i
$902$	5703.94	−	23512.0i	0.210555	−	0.867919i
$903$	19488.5	+	10923.4i	0.718201	+	0.402554i
$904$	−53510.8	−	18520.3i	−1.96874	−	0.681388i
$905$	−18011.3	−	22903.2i	−0.661563	−	0.841246i
$906$	9479.69	+	26301.9i	0.347618	+	0.964482i
$907$	−24326.7	+	8419.56i	−0.890580	+	0.308233i	−0.733771	−	0.679396i	$-0.762242\pi$
$907$	−24326.7	+	8419.56i	−0.890580	+	0.308233i	−0.156808	+	0.987629i	$0.550120\pi$
$908$	−6417.83	−	4124.49i	−0.234563	−	0.150745i
$909$	18079.2	+	21822.8i	0.659681	+	0.796277i
$910$	−6597.72	+	7614.18i	−0.240343	+	0.277371i
$911$	12524.2	−	11941.8i	0.455485	−	0.434304i	−0.427280	−	0.904119i	$-0.640528\pi$
$911$	12524.2	−	11941.8i	0.455485	−	0.434304i	0.882765	+	0.469816i	$0.155680\pi$
$912$	12098.8	+	3385.88i	0.439289	+	0.122936i
$913$	−24395.8	+	70487.0i	−0.884319	+	2.55507i
$914$	1541.05	−	2164.10i	0.0557696	−	0.0783175i
$915$	5366.63	−	2228.14i	0.193897	−	0.0805026i
$916$	10719.3	−	7633.19i	0.386655	−	0.275336i
$917$	1439.75	−	10013.7i	0.0518483	−	0.360613i
$918$	−10298.8	−	26444.2i	−0.370272	−	0.950749i
$919$		−	5009.26i		−	0.179804i	−0.995951	−	0.0899022i	$-0.971345\pi$
$919$		−	5009.26i		−	0.179804i	0.995951	−	0.0899022i	$-0.0286555\pi$
$920$	16221.4	+	16230.9i	0.581309	+	0.581650i
$921$	4572.45	+	42201.5i	0.163591	+	1.50986i
$922$	22895.5	+	11803.5i	0.817813	+	0.421612i
$923$	491.381	+	1227.41i	0.0175233	+	0.0437711i
$924$	10274.9	+	11557.3i	0.365822	+	0.411481i
$925$	15809.9	+	3835.43i	0.561974	+	0.136333i
$926$	10048.3	−	4588.90i	0.356596	−	0.162852i
$927$	−2340.23	−	275.882i	−0.0829162	−	0.00977469i
$928$	−674.285	−	4689.76i	−0.0238518	−	0.165893i
$929$	−17578.0	−	18435.3i	−0.620793	−	0.651069i	0.335992	−	0.941865i	$-0.390928\pi$
$929$	−17578.0	−	18435.3i	−0.620793	−	0.651069i	−0.956785	+	0.290796i	$0.906080\pi$
$930$	16232.2	+	1341.75i	0.572338	+	0.0473094i
$931$	20100.2	+	957.492i	0.707582	+	0.0337063i
$932$	−728.488	−	34.7021i	−0.0256034	−	0.00121964i
$933$	16964.6	+	1402.29i	0.595281	+	0.0492058i
$934$	24284.7	+	25469.0i	0.850770	+	0.892262i
$935$	−7386.34	−	51373.1i	−0.258352	−	1.79688i
$936$	28358.5	+	3343.09i	0.990307	+	0.116744i
$937$	9203.21	−	4202.97i	0.320871	−	0.146537i	−0.248467	−	0.968640i	$-0.579927\pi$
$937$	9203.21	−	4202.97i	0.320871	−	0.146537i	0.569338	+	0.822104i	$0.307200\pi$
$938$	12678.4	+	3075.74i	0.441326	+	0.107064i
$939$	−17698.8	−	19907.8i	−0.615099	−	0.691870i
$940$	−4005.43	−	10005.1i	−0.138981	−	0.347159i
$941$	−7769.72	−	4005.57i	−0.269166	−	0.138765i	0.318360	−	0.947970i	$-0.396868\pi$
$941$	−7769.72	−	4005.57i	−0.269166	−	0.138765i	−0.587526	+	0.809205i	$0.699898\pi$
$942$	−876.915	−	8093.49i	−0.0303306	−	0.279936i
$943$	16540.6	−	12374.6i	0.571194	−	0.427330i
$944$		−	9538.16i		−	0.328857i
$945$	−9768.81	+	12184.1i	−0.336275	+	0.419418i
$946$	−6086.51	+	42332.6i	−0.209185	+	1.45492i
$947$	−1864.21	+	1327.49i	−0.0639689	+	0.0455520i	−0.611594	−	0.791172i	$-0.709471\pi$
$947$	−1864.21	+	1327.49i	−0.0639689	+	0.0455520i	0.547625	+	0.836724i	$0.315532\pi$
$948$	15917.3	−	6608.60i	0.545327	−	0.226411i
$949$	−8512.65	+	11954.3i	−0.291183	+	0.408909i
$950$	4042.56	−	11680.2i	0.138061	−	0.398901i
$951$	8762.71	+	2452.27i	0.298791	+	0.0836174i
$952$	22216.4	−	21183.3i	0.756343	−	0.721171i
$953$	4572.95	−	5277.47i	0.155438	−	0.179385i	−0.672689	−	0.739925i	$-0.734861\pi$
$953$	4572.95	−	5277.47i	0.155438	−	0.179385i	0.828127	+	0.560540i	$0.189406\pi$
$954$	18965.5	+	22892.6i	0.643639	+	0.776914i
$955$	−16741.0	−	10758.8i	−0.567254	−	0.364552i
$956$	15183.1	−	5254.91i	0.513656	−	0.177778i
$957$	3445.46	+	9559.60i	0.116380	+	0.322903i
$958$	3440.10	+	4374.44i	0.116017	+	0.147528i
$959$	23920.2	+	8278.86i	0.805446	+	0.278768i
$960$	18669.1	+	10464.1i	0.627648	+	0.351799i
$961$	284.051	−	1170.88i	0.00953481	−	0.0393030i
$962$	11867.4	−	25986.1i	0.397736	−	0.870920i
$963$	1560.11	+	21317.4i	0.0522056	+	0.713337i
$964$	−10753.5	−	16732.8i	−0.359281	−	0.559051i
$965$	−9197.79	+	15931.0i	−0.306826	+	0.531439i
$966$	−560.188	−	15453.4i	−0.0186581	−	0.514705i
$967$	−9007.71	−	15601.8i	−0.299554	−	0.518842i	0.676480	−	0.736461i	$-0.263504\pi$
$967$	−9007.71	−	15601.8i	−0.299554	−	0.518842i	−0.976034	+	0.217619i	$0.930171\pi$
$968$	−28213.3	+	54726.1i	−0.936786	+	1.81711i
$969$	2036.39	−	58371.5i	0.0675110	−	1.93515i
$970$	−6842.87	−	9609.47i	−0.226507	−	0.318084i
$971$	−37833.5	+	11108.9i	−1.25040	+	0.367150i	−0.838912	−	0.544267i	$-0.816808\pi$
$971$	−37833.5	+	11108.9i	−1.25040	+	0.367150i	−0.411485	+	0.911416i	$0.634990\pi$
$972$	13913.9	+	1103.76i	0.459143	+	0.0364231i
$973$	−2826.28	+	2448.98i	−0.0931205	+	0.0806894i
$974$	−7385.20	+	18447.3i	−0.242954	+	0.606870i
$975$	2062.43	−	11485.7i	0.0677442	−	0.377267i
$976$	−517.213	+	2683.56i	−0.0169627	+	0.0880108i
$977$	−2319.74	+	48697.4i	−0.0759623	+	1.59465i	0.563694	+	0.825984i	$0.309380\pi$
$977$	−2319.74	+	48697.4i	−0.0759623	+	1.59465i	−0.639656	+	0.768661i	$0.720923\pi$
$978$	−32665.1	+	21584.9i	−1.06801	+	0.705735i
$979$	−13601.0	−	39297.6i	−0.444016	−	1.28290i
$980$	5282.15	+	1550.98i	0.172176	+	0.0505553i
$981$	−3931.32	+	1473.72i	−0.127948	+	0.0479636i
$982$	−5206.15	−	6008.22i	−0.169180	−	0.195244i
$983$	−43747.8	−	4177.41i	−1.41947	−	0.135543i	−0.643081	−	0.765798i	$-0.722344\pi$
$983$	−43747.8	−	4177.41i	−1.41947	−	0.135543i	−0.776388	+	0.630255i	$0.782950\pi$
$984$	14363.6	−	18751.2i	0.465341	−	0.607485i
$985$	2374.86	+	24870.7i	0.0768218	+	0.804514i
$986$	5905.10	−	2364.05i	0.190727	−	0.0763556i
$987$	−8286.59	+	21487.5i	−0.267239	+	0.692965i
$988$	16049.6	+	9266.27i	0.516809	+	0.298380i
$989$	−27027.3	+	24555.0i	−0.868976	+	0.789487i
$990$	−28491.0	−	9055.65i	−0.914650	−	0.290714i
$991$	−3933.35	+	2527.81i	−0.126082	+	0.0810278i	−0.602162	−	0.798374i	$-0.705694\pi$
$991$	−3933.35	+	2527.81i	−0.126082	+	0.0810278i	0.476080	+	0.879402i	$0.342057\pi$
$992$	16397.9	−	20851.6i	0.524831	−	0.667377i
$993$	20302.8	−	18049.9i	0.648831	−	0.576836i
$994$	564.950	−	592.503i	0.0180273	−	0.0189065i
$995$	15954.4	+	11361.1i	0.508329	+	0.361980i
$996$	−15633.9	+	16819.8i	−0.497368	+	0.535098i
$997$	−45625.0	−	18265.5i	−1.44931	−	0.580214i	−0.492337	−	0.870405i	$-0.663857\pi$
$997$	−45625.0	−	18265.5i	−1.44931	−	0.580214i	−0.956969	+	0.290191i	$0.906281\pi$
$998$	8985.75	−	30602.7i	0.285009	−	0.970651i
$999$	16844.1	−	40952.6i	0.533458	−	1.29698i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	207.4.o.a.11.48	✓	1400
9.5	odd	6	inner	207.4.o.a.149.48	yes	1400
23.21	odd	22	inner	207.4.o.a.182.48	yes	1400
207.113	even	66	inner	207.4.o.a.113.48	yes	1400

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
207.4.o.a.11.48	✓	1400	1.1	even	1	trivial
207.4.o.a.113.48	yes	1400	207.113	even	66	inner
207.4.o.a.149.48	yes	1400	9.5	odd	6	inner
207.4.o.a.182.48	yes	1400	23.21	odd	22	inner

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:	\( N \)	\(=\)	\( 207 = 3^{2} \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	207.o (of order \(66\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(2.07498 - 0.0988435i) q^{2} +(-5.19299 - 0.181166i) q^{3} +(-3.66800 + 0.350252i) q^{4} +(-6.20290 - 5.91446i) q^{5} +(-10.7933 + 0.137378i) q^{6} +(2.45792 + 12.7529i) q^{7} +(-24.0259 + 3.45441i) q^{8} +(26.9344 + 1.88159i) q^{9} +(-13.4555 - 11.6593i) q^{10} +(55.2766 - 28.4971i) q^{11} +(19.1114 - 1.15434i) q^{12} +(-42.7832 - 8.24579i) q^{13} +(6.36068 + 26.2191i) q^{14} +(31.1401 + 31.8375i) q^{15} +(-20.5671 + 3.96398i) q^{16} +(40.4506 + 88.5745i) q^{17} +(56.0743 + 1.24197i) q^{18} +(105.004 + 47.9538i) q^{19} +(24.8238 + 19.5217i) q^{20} +(-10.4536 - 66.6710i) q^{21} +(111.881 - 64.5946i) q^{22} +(108.772 + 18.3236i) q^{23} +(125.392 - 13.5860i) q^{24} +(-2.45252 - 51.4848i) q^{25} +(-89.5894 - 12.8810i) q^{26} +(-139.529 - 14.6507i) q^{27} +(-13.4824 - 45.9168i) q^{28} +(2.98908 - 31.3031i) q^{29} +(67.7621 + 62.9842i) q^{30} +(138.390 - 108.831i) q^{31} +(146.426 - 35.5225i) q^{32} +(-292.214 + 137.971i) q^{33} +(92.6892 + 179.792i) q^{34} +(60.1802 - 93.6423i) q^{35} +(-99.4543 + 2.53214i) q^{36} +(-88.9226 + 302.843i) q^{37} +(222.621 + 89.1242i) q^{38} +(220.679 + 50.5712i) q^{39} +(169.461 + 120.673i) q^{40} +(129.235 - 135.538i) q^{41} +(-28.2810 - 137.308i) q^{42} +(-204.641 + 260.222i) q^{43} +(-192.774 + 123.888i) q^{44} +(-155.943 - 170.973i) q^{45} +(227.510 + 27.2698i) q^{46} +(-295.539 - 170.629i) q^{47} +(107.523 - 16.8589i) q^{48} +(161.835 - 64.7890i) q^{49} +(-10.1779 - 106.588i) q^{50} +(-194.013 - 467.295i) q^{51} +(159.817 + 15.2607i) q^{52} +(347.094 + 400.568i) q^{53} +(-290.968 - 16.6083i) q^{54} +(-511.420 - 150.167i) q^{55} +(-103.108 - 297.910i) q^{56} +(-536.598 - 268.047i) q^{57} +(3.10818 - 65.2488i) q^{58} +(-86.1808 + 447.148i) q^{59} +(-125.373 - 105.873i) q^{60} +(48.4938 - 121.132i) q^{61} +(276.399 - 239.501i) q^{62} +(42.2068 + 348.116i) q^{63} +(461.097 - 135.390i) q^{64} +(216.611 + 304.188i) q^{65} +(-592.700 + 315.170i) q^{66} +(221.578 - 429.801i) q^{67} +(-179.396 - 310.723i) q^{68} +(-561.530 - 114.860i) q^{69} +(115.617 - 200.254i) q^{70} +(-16.4053 - 25.5272i) q^{71} +(-653.623 + 47.8353i) q^{72} +(139.921 - 306.384i) q^{73} +(-154.579 + 637.182i) q^{74} +(3.40864 + 267.804i) q^{75} +(-401.951 - 139.117i) q^{76} +(499.286 + 634.894i) q^{77} +(462.904 + 83.1216i) q^{78} +(850.655 - 294.415i) q^{79} +(151.021 + 97.0550i) q^{80} +(721.919 + 101.359i) q^{81} +(254.763 - 294.012i) q^{82} +(-868.033 + 827.667i) q^{83} +(61.6953 + 240.888i) q^{84} +(272.959 - 788.662i) q^{85} +(-398.904 + 560.182i) q^{86} +(-21.1933 + 162.015i) q^{87} +(-1229.63 + 875.616i) q^{88} +(95.1622 - 661.867i) q^{89} +(-340.478 - 339.353i) q^{90} -565.878i q^{91} +(-405.392 - 29.1136i) q^{92} +(-738.373 + 540.086i) q^{93} +(-630.102 - 324.840i) q^{94} +(-367.710 - 918.495i) q^{95} +(-766.823 + 157.941i) q^{96} +(643.913 + 156.212i) q^{97} +(329.401 - 150.432i) q^{98} +(1542.46 - 663.543i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1400 q - 27 q^{2} - 22 q^{3} - 281 q^{4} - 33 q^{5} + 29 q^{6} - 11 q^{7} - 22 q^{9} - 44 q^{10} - 33 q^{11} + 86 q^{12} - 9 q^{13} - 33 q^{14} + 726 q^{15} + 999 q^{16} + 51 q^{18} - 44 q^{19} - 33 q^{20}+ \cdots - 9262 q^{99}+O(q^{100}) \) 1400 * q - 27 * q^2 - 22 * q^3 - 281 * q^4 - 33 * q^5 + 29 * q^6 - 11 * q^7 - 22 * q^9 - 44 * q^10 - 33 * q^11 + 86 * q^12 - 9 * q^13 - 33 * q^14 + 726 * q^15 + 999 * q^16 + 51 * q^18 - 44 * q^19 - 33 * q^20 + 638 * q^21 + 252 * q^23 - 2564 * q^24 + 1397 * q^25 - 178 * q^27 - 44 * q^28 - 135 * q^29 - 1518 * q^30 - 45 * q^31 - 339 * q^32 + 1914 * q^33 - 11 * q^34 - 2137 * q^36 - 44 * q^37 - 33 * q^38 + 374 * q^39 + 979 * q^40 + 441 * q^41 - 22 * q^42 - 11 * q^43 + 516 * q^46 - 1992 * q^47 - 20 * q^48 - 4633 * q^49 - 6231 * q^50 - 22 * q^51 + 178 * q^52 + 2640 * q^54 + 256 * q^55 + 17391 * q^56 + 2090 * q^57 + 320 * q^58 - 2061 * q^59 + 418 * q^60 - 11 * q^61 - 2112 * q^63 + 8546 * q^64 - 12969 * q^65 - 5775 * q^66 - 11 * q^67 - 519 * q^69 - 1582 * q^70 - 4156 * q^72 - 36 * q^73 - 10065 * q^74 - 7876 * q^75 - 11 * q^76 + 1317 * q^77 - 10053 * q^78 - 11 * q^79 + 12442 * q^81 + 698 * q^82 + 14025 * q^83 + 16720 * q^84 + 241 * q^85 - 33 * q^86 + 11672 * q^87 - 1419 * q^88 - 37136 * q^90 + 3141 * q^92 + 1138 * q^93 + 396 * q^94 + 5883 * q^95 + 9218 * q^96 + 6325 * q^97 - 9262 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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