LMFDB - Embedded Newform 29.3.f.a.10.2

Newspace parameters

Level:	$ N $	=	$ 29 $
Weight:	$ k $	=	$ 3 $
Character orbit:	$[\chi]$	=	29.f (of order $28$ and degree $12$)

Newform invariants

Self dual:	No
Analytic conductor:	$0.790192766645$
Analytic rank:	$0$
Dimension:	$48$
Relative dimension:	$4$ over $\Q(\zeta_{28})$
Sato-Tate group:	$\mathrm{SU}(2)[C_{28}]$

Embedding invariants

Embedding label			10.2
Character	$\chi$	=	29.10
Dual form			29.3.f.a.3.2

$q$-expansion

$f(q)$	$=$	$q$$+(-1.29187 + 0.811733i) q^{2}$ $+(2.15095 + 0.752648i) q^{3}$ $+(-0.725528 + 1.50658i) q^{4}$ $+(3.36294 + 0.767569i) q^{5}$ $+(-3.38968 + 0.773673i) q^{6}$ $+(-0.255710 + 0.123143i) q^{7}$ $+(-0.968958 - 8.59974i) q^{8}$ $+(-2.97640 - 2.37360i) q^{9}$ $+O(q^{10})$	$q$$+(-1.29187 + 0.811733i) q^{2}$ $+(2.15095 + 0.752648i) q^{3}$ $+(-0.725528 + 1.50658i) q^{4}$ $+(3.36294 + 0.767569i) q^{5}$ $+(-3.38968 + 0.773673i) q^{6}$ $+(-0.255710 + 0.123143i) q^{7}$ $+(-0.968958 - 8.59974i) q^{8}$ $+(-2.97640 - 2.37360i) q^{9}$ $+(-4.96753 + 1.73821i) q^{10}$ $+(1.62739 - 14.4435i) q^{11}$ $+(-2.69449 + 2.69449i) q^{12}$ $+(-4.30976 + 3.43692i) q^{13}$ $+(0.230383 - 0.366653i) q^{14}$ $+(6.65579 + 4.18211i) q^{15}$ $+(4.06213 + 5.09375i) q^{16}$ $+(5.25353 + 5.25353i) q^{17}$ $+(5.77183 + 0.650330i) q^{18}$ $+(9.56906 + 27.3468i) q^{19}$ $+(-3.59631 + 4.50963i) q^{20}$ $+(-0.642701 + 0.0724150i) q^{21}$ $+(9.62189 + 19.9801i) q^{22}$ $+(-6.05686 - 26.5368i) q^{23}$ $+(4.38841 - 19.2269i) q^{24}$ $+(-11.8040 - 5.68451i) q^{25}$ $+(2.77777 - 7.93841i) q^{26}$ $+(-15.5273 - 24.7115i) q^{27}$ $-0.474590i q^{28}$ $+(2.32625 + 28.9065i) q^{29}$ $-11.9931 q^{30}$ $+(-12.9513 + 8.13783i) q^{31}$ $+(23.2916 + 8.15007i) q^{32}$ $+(14.3713 - 29.8423i) q^{33}$ $+(-11.0513 - 2.52239i) q^{34}$ $+(-0.954457 + 0.217849i) q^{35}$ $+(5.73547 - 2.76205i) q^{36}$ $+(3.05571 + 27.1202i) q^{37}$ $+(-34.5602 - 27.5609i) q^{38}$ $+(-11.8568 + 4.14889i) q^{39}$ $+(3.34235 - 29.6642i) q^{40}$ $+(-45.8791 + 45.8791i) q^{41}$ $+(0.771502 - 0.615252i) q^{42}$ $+(35.9543 - 57.2209i) q^{43}$ $+(20.5795 + 12.9310i) q^{44}$ $+(-8.18755 - 10.2669i) q^{45}$ $+(29.3655 + 29.3655i) q^{46}$ $+(17.2732 + 1.94622i) q^{47}$ $+(4.90362 + 14.0137i) q^{48}$ $+(-30.5008 + 38.2468i) q^{49}$ $+(19.8635 - 2.23808i) q^{50}$ $+(7.34599 + 15.2541i) q^{51}$ $+(-2.05112 - 8.98655i) q^{52}$ $+(1.31097 - 5.74372i) q^{53}$ $+(40.1183 + 19.3199i) q^{54}$ $+(16.5592 - 47.3235i) q^{55}$ $+(1.30677 + 2.07972i) q^{56}$ $+66.0236i q^{57}$ $+(-26.4696 - 35.4551i) q^{58}$ $-43.1476 q^{59}$ $+(-11.1296 + 6.99321i) q^{60}$ $+(104.863 + 36.6931i) q^{61}$ $+(10.1256 - 21.0260i) q^{62}$ $+(1.05339 + 0.240429i) q^{63}$ $+(-62.1125 + 14.1768i) q^{64}$ $+(-17.1315 + 8.25011i) q^{65}$ $+(5.65820 + 50.2179i) q^{66}$ $+(-67.4283 - 53.7723i) q^{67}$ $+(-11.7264 + 4.10325i) q^{68}$ $+(6.94493 - 61.6380i) q^{69}$ $+(1.05620 - 1.05620i) q^{70}$ $+(45.1943 - 36.0413i) q^{71}$ $+(-17.5283 + 27.8962i) q^{72}$ $+(-42.0399 - 26.4154i) q^{73}$ $+(-25.9619 - 32.5552i) q^{74}$ $+(-21.1113 - 21.1113i) q^{75}$ $+(-48.1426 - 5.42437i) q^{76}$ $+(1.36248 + 3.89374i) q^{77}$ $+(11.9497 - 14.9844i) q^{78}$ $+(96.9173 - 10.9200i) q^{79}$ $+(9.75090 + 20.2479i) q^{80}$ $+(-7.17507 - 31.4360i) q^{81}$ $+(22.0280 - 96.5112i) q^{82}$ $+(-0.956785 - 0.460763i) q^{83}$ $+(0.357199 - 1.02082i) q^{84}$ $+(13.6349 + 21.6998i) q^{85}$ $+103.107i q^{86}$ $+(-16.7528 + 63.9272i) q^{87}$ $-125.787 q^{88}$ $+(73.6381 - 46.2699i) q^{89}$ $+(18.9112 + 6.61730i) q^{90}$ $+(0.678813 - 1.40957i) q^{91}$ $+(44.3742 + 10.1281i) q^{92}$ $+(-33.9824 + 7.75627i) q^{93}$ $+(-23.8944 + 11.5070i) q^{94}$ $+(11.1896 + 99.3106i) q^{95}$ $+(43.9648 + 35.0607i) q^{96}$ $+(54.6355 - 19.1178i) q^{97}$ $+(8.35675 - 74.1682i) q^{98}$ $+(-39.1268 + 39.1268i) q^{99}$ $+O(q^{100})$
$\operatorname{Tr}(f)(q)$	$=$	$48q $ $\mathstrut -\mathstrut 16q^{2} $ $\mathstrut -\mathstrut 12q^{3} $ $\mathstrut -\mathstrut 14q^{4} $ $\mathstrut -\mathstrut 14q^{5} $ $\mathstrut -\mathstrut 14q^{6} $ $\mathstrut -\mathstrut 10q^{7} $ $\mathstrut +\mathstrut 28q^{8} $ $\mathstrut -\mathstrut 14q^{9} $ $\mathstrut +\mathstrut O(q^{10}) $	$48q $ $\mathstrut -\mathstrut 16q^{2} $ $\mathstrut -\mathstrut 12q^{3} $ $\mathstrut -\mathstrut 14q^{4} $ $\mathstrut -\mathstrut 14q^{5} $ $\mathstrut -\mathstrut 14q^{6} $ $\mathstrut -\mathstrut 10q^{7} $ $\mathstrut +\mathstrut 28q^{8} $ $\mathstrut -\mathstrut 14q^{9} $ $\mathstrut -\mathstrut 20q^{10} $ $\mathstrut -\mathstrut 8q^{11} $ $\mathstrut -\mathstrut 68q^{12} $ $\mathstrut -\mathstrut 14q^{13} $ $\mathstrut +\mathstrut 26q^{14} $ $\mathstrut -\mathstrut 4q^{15} $ $\mathstrut +\mathstrut 18q^{16} $ $\mathstrut -\mathstrut 26q^{17} $ $\mathstrut -\mathstrut 34q^{18} $ $\mathstrut +\mathstrut 2q^{19} $ $\mathstrut +\mathstrut 46q^{20} $ $\mathstrut +\mathstrut 218q^{21} $ $\mathstrut +\mathstrut 154q^{22} $ $\mathstrut +\mathstrut 56q^{23} $ $\mathstrut +\mathstrut 154q^{24} $ $\mathstrut -\mathstrut 34q^{25} $ $\mathstrut +\mathstrut 110q^{26} $ $\mathstrut +\mathstrut 126q^{27} $ $\mathstrut -\mathstrut 170q^{29} $ $\mathstrut +\mathstrut 24q^{30} $ $\mathstrut -\mathstrut 88q^{31} $ $\mathstrut -\mathstrut 132q^{32} $ $\mathstrut -\mathstrut 224q^{33} $ $\mathstrut -\mathstrut 224q^{34} $ $\mathstrut -\mathstrut 210q^{35} $ $\mathstrut -\mathstrut 434q^{36} $ $\mathstrut -\mathstrut 56q^{37} $ $\mathstrut -\mathstrut 294q^{38} $ $\mathstrut -\mathstrut 232q^{39} $ $\mathstrut -\mathstrut 492q^{40} $ $\mathstrut -\mathstrut 34q^{41} $ $\mathstrut -\mathstrut 14q^{42} $ $\mathstrut +\mathstrut 176q^{43} $ $\mathstrut +\mathstrut 126q^{44} $ $\mathstrut +\mathstrut 114q^{45} $ $\mathstrut +\mathstrut 744q^{46} $ $\mathstrut +\mathstrut 208q^{47} $ $\mathstrut +\mathstrut 640q^{48} $ $\mathstrut +\mathstrut 506q^{49} $ $\mathstrut +\mathstrut 732q^{50} $ $\mathstrut +\mathstrut 322q^{51} $ $\mathstrut +\mathstrut 690q^{52} $ $\mathstrut -\mathstrut 14q^{53} $ $\mathstrut -\mathstrut 36q^{54} $ $\mathstrut +\mathstrut 284q^{55} $ $\mathstrut +\mathstrut 332q^{56} $ $\mathstrut -\mathstrut 508q^{58} $ $\mathstrut -\mathstrut 44q^{59} $ $\mathstrut -\mathstrut 316q^{60} $ $\mathstrut -\mathstrut 30q^{61} $ $\mathstrut -\mathstrut 504q^{62} $ $\mathstrut -\mathstrut 686q^{63} $ $\mathstrut -\mathstrut 896q^{64} $ $\mathstrut -\mathstrut 554q^{65} $ $\mathstrut -\mathstrut 608q^{66} $ $\mathstrut -\mathstrut 574q^{67} $ $\mathstrut -\mathstrut 796q^{68} $ $\mathstrut -\mathstrut 806q^{69} $ $\mathstrut -\mathstrut 1066q^{70} $ $\mathstrut +\mathstrut 224q^{71} $ $\mathstrut +\mathstrut 748q^{72} $ $\mathstrut -\mathstrut 22q^{73} $ $\mathstrut +\mathstrut 820q^{74} $ $\mathstrut +\mathstrut 768q^{75} $ $\mathstrut +\mathstrut 514q^{76} $ $\mathstrut +\mathstrut 436q^{77} $ $\mathstrut +\mathstrut 282q^{78} $ $\mathstrut +\mathstrut 564q^{79} $ $\mathstrut +\mathstrut 1162q^{80} $ $\mathstrut +\mathstrut 670q^{81} $ $\mathstrut -\mathstrut 18q^{82} $ $\mathstrut -\mathstrut 126q^{83} $ $\mathstrut +\mathstrut 572q^{84} $ $\mathstrut +\mathstrut 38q^{85} $ $\mathstrut -\mathstrut 118q^{87} $ $\mathstrut -\mathstrut 384q^{88} $ $\mathstrut -\mathstrut 160q^{89} $ $\mathstrut -\mathstrut 828q^{90} $ $\mathstrut -\mathstrut 434q^{91} $ $\mathstrut -\mathstrut 1022q^{92} $ $\mathstrut -\mathstrut 406q^{93} $ $\mathstrut -\mathstrut 2q^{94} $ $\mathstrut -\mathstrut 642q^{95} $ $\mathstrut -\mathstrut 1176q^{96} $ $\mathstrut +\mathstrut 604q^{97} $ $\mathstrut -\mathstrut 102q^{98} $ $\mathstrut +\mathstrut 316q^{99} $ $\mathstrut +\mathstrut O(q^{100}) $

Display 100 coefficients 10 coefficients

Character Values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/29\mathbb{Z}\right)^\times$.

$n$	$2$
$\chi(n)$	$e\left(\frac{23}{28}\right)$

Coefficient data

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

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

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

$2$	−1.29187	+	0.811733i	−0.645933	+	0.405867i	−0.814776	−	0.579776i	$-0.803140\pi$
$2$	−1.29187	+	0.811733i	−0.645933	+	0.405867i	0.168843	+	0.985643i	$0.445997\pi$
$3$	2.15095	+	0.752648i	0.716982	+	0.250883i	0.664021	−	0.747714i	$-0.268849\pi$
$3$	2.15095	+	0.752648i	0.716982	+	0.250883i	0.0529606	+	0.998597i	$0.483134\pi$
$4$	−0.725528	+	1.50658i	−0.181382	+	0.376644i
$5$	3.36294	+	0.767569i	0.672588	+	0.153514i	0.545158	−	0.838334i	$-0.316470\pi$
$5$	3.36294	+	0.767569i	0.672588	+	0.153514i	0.127431	+	0.991847i	$0.459327\pi$
$6$	−3.38968	+	0.773673i	−0.564947	+	0.128945i
$7$	−0.255710	+	0.123143i	−0.0365299	+	0.0175919i	−0.452060	−	0.891988i	$-0.649311\pi$
$7$	−0.255710	+	0.123143i	−0.0365299	+	0.0175919i	0.415530	+	0.909580i	$0.363596\pi$
$8$	−0.968958	−	8.59974i	−0.121120	−	1.07497i
$9$	−2.97640	−	2.37360i	−0.330711	−	0.263733i
$10$	−4.96753	+	1.73821i	−0.496753	+	0.173821i
$11$	1.62739	−	14.4435i	0.147945	−	1.31305i	−0.671978	−	0.740571i	$-0.734555\pi$
$11$	1.62739	−	14.4435i	0.147945	−	1.31305i	0.819923	−	0.572474i	$-0.194016\pi$
$12$	−2.69449	+	2.69449i	−0.224541	+	0.224541i
$13$	−4.30976	+	3.43692i	−0.331520	+	0.264378i	−0.775076	−	0.631869i	$-0.782288\pi$
$13$	−4.30976	+	3.43692i	−0.331520	+	0.264378i	0.443556	+	0.896247i	$0.353717\pi$
$14$	0.230383	−	0.366653i	0.0164559	−	0.0261895i
$15$	6.65579	+	4.18211i	0.443719	+	0.278807i
$16$	4.06213	+	5.09375i	0.253883	+	0.318359i
$17$	5.25353	+	5.25353i	0.309031	+	0.309031i	0.844534	−	0.535503i	$-0.179878\pi$
$17$	5.25353	+	5.25353i	0.309031	+	0.309031i	−0.535503	+	0.844534i	$0.679878\pi$
$18$	5.77183	+	0.650330i	0.320657	+	0.0361294i
$19$	9.56906	+	27.3468i	0.503635	+	1.43930i	0.862568	+	0.505942i	$0.168855\pi$
$19$	9.56906	+	27.3468i	0.503635	+	1.43930i	−0.358933	+	0.933363i	$0.616859\pi$
$20$	−3.59631	+	4.50963i	−0.179816	+	0.225482i
$21$	−0.642701	+	0.0724150i	−0.0306048	+	0.00344833i
$22$	9.62189	+	19.9801i	0.437359	+	0.908185i
$23$	−6.05686	−	26.5368i	−0.263342	−	1.15378i	−0.917600	−	0.397505i	$-0.869876\pi$
$23$	−6.05686	−	26.5368i	−0.263342	−	1.15378i	0.654258	−	0.756271i	$-0.272981\pi$
$24$	4.38841	−	19.2269i	0.182850	−	0.801119i
$25$	−11.8040	−	5.68451i	−0.472160	−	0.227380i
$26$	2.77777	−	7.93841i	0.106837	−	0.305323i
$27$	−15.5273	−	24.7115i	−0.575084	−	0.915240i
$28$		−	0.474590i		−	0.0169496i
$29$	2.32625	+	28.9065i	0.0802155	+	0.996778i
$29$	2.32625	+	28.9065i	0.0802155	+	0.996778i
$30$	−11.9931			−0.399772
$31$	−12.9513	+	8.13783i	−0.417783	+	0.262511i	−0.724479	−	0.689297i	$-0.757920\pi$
$31$	−12.9513	+	8.13783i	−0.417783	+	0.262511i	0.306695	+	0.951808i	$0.400777\pi$
$32$	23.2916	+	8.15007i	0.727862	+	0.254690i
$33$	14.3713	−	29.8423i	0.435494	−	0.904313i
$34$	−11.0513	−	2.52239i	−0.325039	−	0.0741880i
$35$	−0.954457	+	0.217849i	−0.0272702	+	0.00622425i
$36$	5.73547	−	2.76205i	0.159318	−	0.0767237i
$37$	3.05571	+	27.1202i	0.0825867	+	0.732977i	0.964955	+	0.262417i	$0.0845196\pi$
$37$	3.05571	+	27.1202i	0.0825867	+	0.732977i	−0.882368	+	0.470560i	$0.844052\pi$
$38$	−34.5602	−	27.5609i	−0.909480	−	0.725286i
$39$	−11.8568	+	4.14889i	−0.304022	+	0.106382i
$40$	3.34235	−	29.6642i	0.0835587	−	0.741604i
$41$	−45.8791	+	45.8791i	−1.11900	+	1.11900i	−0.127114	+	0.991888i	$0.540571\pi$
$41$	−45.8791	+	45.8791i	−1.11900	+	1.11900i	−0.991888	+	0.127114i	$0.959429\pi$
$42$	0.771502	−	0.615252i	0.0183691	−	0.0146489i
$43$	35.9543	−	57.2209i	0.836146	−	1.33072i	−0.105605	−	0.994408i	$-0.533678\pi$
$43$	35.9543	−	57.2209i	0.836146	−	1.33072i	0.941751	−	0.336311i	$-0.109179\pi$
$44$	20.5795	+	12.9310i	0.467716	+	0.293885i
$45$	−8.18755	−	10.2669i	−0.181946	−	0.228153i
$46$	29.3655	+	29.3655i	0.638380	+	0.638380i
$47$	17.2732	+	1.94622i	0.367514	+	0.0414089i	0.293791	−	0.955870i	$-0.405083\pi$
$47$	17.2732	+	1.94622i	0.367514	+	0.0414089i	0.0737238	+	0.997279i	$0.476512\pi$
$48$	4.90362	+	14.0137i	0.102159	+	0.291953i
$49$	−30.5008	+	38.2468i	−0.622465	+	0.780546i
$50$	19.8635	−	2.23808i	0.397270	−	0.0447616i
$51$	7.34599	+	15.2541i	0.144039	+	0.299100i
$52$	−2.05112	−	8.98655i	−0.0394447	−	0.172818i
$53$	1.31097	−	5.74372i	0.0247352	−	0.108372i	−0.961053	−	0.276363i	$-0.910871\pi$
$53$	1.31097	−	5.74372i	0.0247352	−	0.108372i	0.985789	+	0.167991i	$0.0537279\pi$
$54$	40.1183	+	19.3199i	0.742931	+	0.357777i
$55$	16.5592	−	47.3235i	0.301077	−	0.860427i
$56$	1.30677	+	2.07972i	0.0233352	+	0.0371378i
$57$			66.0236i			1.15831i
$58$	−26.4696	−	35.4551i	−0.456372	−	0.611295i
$59$	−43.1476			−0.731315			−0.365658	−	0.930749i	$-0.619156\pi$
$59$	−43.1476			−0.731315			−0.365658	+	0.930749i	$0.619156\pi$
$60$	−11.1296	+	6.99321i	−0.185494	+	0.116554i
$61$	104.863	+	36.6931i	1.71906	+	0.601526i	0.996008	−	0.0892649i	$-0.0284518\pi$
$61$	104.863	+	36.6931i	1.71906	+	0.601526i	0.723055	+	0.690791i	$0.242737\pi$
$62$	10.1256	−	21.0260i	0.163316	−	0.339129i
$63$	1.05339	+	0.240429i	0.0167204	+	0.00381633i
$64$	−62.1125	+	14.1768i	−0.970507	+	0.221512i
$65$	−17.1315	+	8.25011i	−0.263562	+	0.126925i
$66$	5.65820	+	50.2179i	0.0857303	+	0.760878i
$67$	−67.4283	−	53.7723i	−1.00639	−	0.802571i	−0.0260070	−	0.999662i	$-0.508279\pi$
$67$	−67.4283	−	53.7723i	−1.00639	−	0.802571i	−0.980385	+	0.197091i	$0.936851\pi$
$68$	−11.7264	+	4.10325i	−0.172447	+	0.0603419i
$69$	6.94493	−	61.6380i	0.100651	−	0.893304i
$70$	1.05620	−	1.05620i	0.0150885	−	0.0150885i
$71$	45.1943	−	36.0413i	0.636540	−	0.507623i	−0.251220	−	0.967930i	$-0.580832\pi$
$71$	45.1943	−	36.0413i	0.636540	−	0.507623i	0.887760	+	0.460306i	$0.152260\pi$
$72$	−17.5283	+	27.8962i	−0.243449	+	0.387447i
$73$	−42.0399	−	26.4154i	−0.575889	−	0.361855i	0.212379	−	0.977187i	$-0.431879\pi$
$73$	−42.0399	−	26.4154i	−0.575889	−	0.361855i	−0.788268	+	0.615332i	$0.789022\pi$
$74$	−25.9619	−	32.5552i	−0.350836	−	0.439935i
$75$	−21.1113	−	21.1113i	−0.281485	−	0.281485i
$76$	−48.1426	−	5.42437i	−0.633456	−	0.0713733i
$77$	1.36248	+	3.89374i	0.0176945	+	0.0505681i
$78$	11.9497	−	14.9844i	0.153201	−	0.192108i
$79$	96.9173	−	10.9200i	1.22680	−	0.138227i	0.525314	−	0.850909i	$-0.323948\pi$
$79$	96.9173	−	10.9200i	1.22680	−	0.138227i	0.701488	+	0.712681i	$0.252519\pi$
$80$	9.75090	+	20.2479i	0.121886	+	0.253099i
$81$	−7.17507	−	31.4360i	−0.0885811	−	0.388099i
$82$	22.0280	−	96.5112i	0.268635	−	1.17697i
$83$	−0.956785	−	0.460763i	−0.0115275	−	0.00555137i	0.428111	−	0.903726i	$-0.359179\pi$
$83$	−0.956785	−	0.460763i	−0.0115275	−	0.00555137i	−0.439639	+	0.898175i	$0.644893\pi$
$84$	0.357199	−	1.02082i	0.00425237	−	0.0121526i
$85$	13.6349	+	21.6998i	0.160410	+	0.255291i
$86$			103.107i			1.19892i
$87$	−16.7528	+	63.9272i	−0.192561	+	0.734796i
$88$	−125.787			−1.42940
$89$	73.6381	−	46.2699i	0.827394	−	0.519886i	−0.0505095	−	0.998724i	$-0.516085\pi$
$89$	73.6381	−	46.2699i	0.827394	−	0.519886i	0.877904	+	0.478837i	$0.158942\pi$
$90$	18.9112	+	6.61730i	0.210124	+	0.0735256i
$91$	0.678813	−	1.40957i	0.00745949	−	0.0154898i
$92$	44.3742	+	10.1281i	0.482328	+	0.110088i
$93$	−33.9824	+	7.75627i	−0.365403	+	0.0834007i
$94$	−23.8944	+	11.5070i	−0.254196	+	0.122414i
$95$	11.1896	+	99.3106i	0.117785	+	1.04537i
$96$	43.9648	+	35.0607i	0.457966	+	0.365216i
$97$	54.6355	−	19.1178i	0.563252	−	0.197091i	−0.0336088	−	0.999435i	$-0.510700\pi$
$97$	54.6355	−	19.1178i	0.563252	−	0.197091i	0.596861	+	0.802345i	$0.296414\pi$
$98$	8.35675	−	74.1682i	0.0852729	−	0.756818i
$99$	−39.1268	+	39.1268i	−0.395220	+	0.395220i
$100$	17.1283	−	13.6594i	0.171283	−	0.136594i
$101$	−43.1797	+	68.7201i	−0.427522	+	0.680397i	−0.989136	−	0.147002i	$-0.953038\pi$
$101$	−43.1797	+	68.7201i	−0.427522	+	0.680397i	0.561614	+	0.827399i	$0.310181\pi$
$102$	−21.8723	−	13.7433i	−0.214434	−	0.134738i
$103$	117.601	+	147.466i	1.14175	+	1.43171i	0.885217	+	0.465179i	$0.154010\pi$
$103$	117.601	+	147.466i	1.14175	+	1.43171i	0.256537	+	0.966534i	$0.417419\pi$
$104$	33.7326	+	33.7326i	0.324352	+	0.324352i
$105$	−2.21695	−	0.249790i	−0.0211138	−	0.00237895i
$106$	2.96878	+	8.48427i	0.0280073	+	0.0800403i
$107$	17.2592	−	21.6423i	0.161300	−	0.202264i	−0.694613	−	0.719384i	$-0.744424\pi$
$107$	17.2592	−	21.6423i	0.161300	−	0.202264i	0.855913	+	0.517119i	$0.172996\pi$
$108$	48.4952	−	5.46409i	0.449029	−	0.0505935i
$109$	−40.5822	−	84.2699i	−0.372314	−	0.773118i	0.627672	−	0.778478i	$-0.284008\pi$
$109$	−40.5822	−	84.2699i	−0.372314	−	0.773118i	−0.999986	+	0.00536026i	$0.998294\pi$
$110$	17.0218	+	74.5773i	0.154743	+	0.677975i
$111$	−13.8393	+	60.6338i	−0.124678	+	0.546251i
$112$	−1.66599	−	0.802297i	−0.0148749	−	0.00716336i
$113$	49.3986	−	141.173i	0.437156	−	1.24932i	−0.489035	−	0.872264i	$-0.662651\pi$
$113$	49.3986	−	141.173i	0.437156	−	1.24932i	0.926191	−	0.377055i	$-0.123063\pi$
$114$	−53.5935	−	85.2936i	−0.470119	−	0.748189i
$115$		−	93.8909i		−	0.816443i
$116$	−45.2377	−	17.4679i	−0.389980	−	0.150585i
$117$	20.9854			0.179362
$118$	55.7409	−	35.0243i	0.472381	−	0.296816i
$119$	−1.99031	−	0.696441i	−0.0167253	−	0.00585245i
$120$	29.5159	−	61.2904i	0.245966	−	0.510753i
$121$	−88.0000	−	20.0854i	−0.727272	−	0.165995i
$122$	−165.254	+	37.7181i	−1.35454	+	0.309165i
$123$	−133.214	+	64.1526i	−1.08304	+	0.521566i
$124$	−2.86373	−	25.4163i	−0.0230946	−	0.204970i
$125$	−102.755	−	81.9441i	−0.822037	−	0.655553i
$126$	−1.55600	+	0.544467i	−0.0123492	+	0.00432117i
$127$	−10.7711	+	95.5964i	−0.0848120	+	0.752727i	0.877276	+	0.479987i	$0.159359\pi$
$127$	−10.7711	+	95.5964i	−0.0848120	+	0.752727i	−0.962088	+	0.272740i	$0.912070\pi$
$128$	−1.06196	+	1.06196i	−0.00829659	+	0.00829659i
$129$	120.403	−	96.0181i	0.933356	−	0.744327i
$130$	15.4348	−	24.5643i	0.118729	−	0.188956i
$131$	−86.3851	−	54.2793i	−0.659428	−	0.414346i	0.160324	−	0.987064i	$-0.448746\pi$
$131$	−86.3851	−	54.2793i	−0.659428	−	0.414346i	−0.819752	+	0.572718i	$0.805889\pi$
$132$	34.5329	+	43.3029i	0.261613	+	0.328052i
$133$	−5.81447	−	5.81447i	−0.0437178	−	0.0437178i
$134$	130.757	+	14.7328i	0.975798	+	0.109946i
$135$	−33.2495	−	95.0215i	−0.246292	−	0.703863i
$136$	40.0885	−	50.2694i	0.294769	−	0.369628i
$137$	−43.6939	+	4.92312i	−0.318933	+	0.0359351i	−0.269980	−	0.962866i	$-0.587017\pi$
$137$	−43.6939	+	4.92312i	−0.318933	+	0.0359351i	−0.0489532	+	0.998801i	$0.515589\pi$
$138$	41.0617	+	85.2654i	0.297548	+	0.617865i
$139$	13.4998	+	59.1466i	0.0971211	+	0.425515i	0.999990	−	0.00439991i	$-0.00140054\pi$
$139$	13.4998	+	59.1466i	0.0971211	+	0.425515i	−0.902869	+	0.429915i	$0.858543\pi$
$140$	0.364281	−	1.59602i	0.00260200	−	0.0114001i
$141$	35.6888	+	17.1868i	0.253112	+	0.121892i
$142$	−29.1291	+	83.2462i	−0.205135	+	0.586241i
$143$	42.6274	+	67.8412i	0.298094	+	0.474414i
$144$		−	24.8029i		−	0.172242i
$145$	−14.3647	+	98.9966i	−0.0990672	+	0.682735i
$146$	75.7522			0.518851
$147$	−94.3919	+	59.3103i	−0.642121	+	0.403472i
$148$	−43.0756	−	15.0728i	−0.291051	−	0.101843i
$149$	−42.6095	+	88.4796i	−0.285970	+	0.593823i	−0.993625	−	0.112735i	$-0.964039\pi$
$149$	−42.6095	+	88.4796i	−0.285970	+	0.593823i	0.707655	+	0.706558i	$0.249753\pi$
$150$	44.4098	+	10.1362i	0.296065	+	0.0675750i
$151$	2.28538	−	0.521624i	0.0151350	−	0.00345446i	−0.214947	−	0.976626i	$-0.568958\pi$
$151$	2.28538	−	0.521624i	0.0151350	−	0.00345446i	0.230082	+	0.973171i	$0.426101\pi$
$152$	225.903	−	108.789i	1.48621	−	0.715719i
$153$	−3.16683	−	28.1064i	−0.0206982	−	0.183702i
$154$	−4.92082	−	3.92422i	−0.0319534	−	0.0254820i
$155$	−49.8008	+	17.4260i	−0.321295	+	0.112426i
$156$	2.35186	−	20.8734i	0.0150760	−	0.133804i
$157$	55.3939	−	55.3939i	0.352828	−	0.352828i	−0.508333	−	0.861161i	$-0.669738\pi$
$157$	55.3939	−	55.3939i	0.352828	−	0.352828i	0.861161	+	0.508333i	$0.169738\pi$
$158$	−116.340	+	92.7781i	−0.736330	+	0.587203i
$159$	7.14282	−	11.3677i	0.0449234	−	0.0714952i
$160$	72.0724	+	45.2861i	0.450453	+	0.283038i
$161$	4.81663	+	6.03986i	0.0299170	+	0.0375147i
$162$	34.7869	+	34.7869i	0.214734	+	0.214734i
$163$	−59.0143	−	6.64931i	−0.362051	−	0.0407933i	−0.0709343	−	0.997481i	$-0.522598\pi$
$163$	−59.0143	−	6.64931i	−0.362051	−	0.0407933i	−0.291116	+	0.956688i	$0.594027\pi$
$164$	−35.8337	−	102.407i	−0.218498	−	0.624432i
$165$	71.2359	−	89.3270i	0.431733	−	0.541376i
$166$	1.61005	−	0.181410i	0.00969913	−	0.00109283i
$167$	35.2685	+	73.2358i	0.211189	+	0.438538i	0.979474	−	0.201569i	$-0.0646042\pi$
$167$	35.2685	+	73.2358i	0.211189	+	0.438538i	−0.768285	+	0.640107i	$0.778890\pi$
$168$	1.24550	+	5.45690i	0.00741370	+	0.0324815i
$169$	−30.8444	+	135.138i	−0.182511	+	0.799635i
$170$	−35.2288	−	16.9653i	−0.207228	−	0.0997959i
$171$	36.4290	−	104.108i	0.213035	−	0.608819i
$172$	60.1218	+	95.6833i	0.349545	+	0.556298i
$173$		−	34.1362i		−	0.197319i	−0.995121	−	0.0986597i	$-0.968544\pi$
$173$		−	34.1362i		−	0.197319i	0.995121	−	0.0986597i	$-0.0314555\pi$
$174$	−30.2495	−	96.1842i	−0.173847	−	0.552783i
$175$	3.71841			0.0212481
$176$	80.1822	−	50.3818i	0.455581	−	0.286260i
$177$	−92.8081	−	32.4750i	−0.524340	−	0.183474i
$178$	−57.5717	+	119.549i	−0.323437	+	0.671623i
$179$	−71.0369	−	16.2137i	−0.396854	−	0.0905793i	0.0194363	−	0.999811i	$-0.493813\pi$
$179$	−71.0369	−	16.2137i	−0.396854	−	0.0905793i	−0.416290	+	0.909232i	$0.636670\pi$
$180$	21.4081	−	4.88626i	0.118934	−	0.0271459i
$181$	113.506	−	54.6618i	0.627107	−	0.301999i	−0.0932070	−	0.995647i	$-0.529712\pi$
$181$	113.506	−	54.6618i	0.627107	−	0.301999i	0.720314	+	0.693648i	$0.243998\pi$
$182$	0.267259	+	2.37199i	0.00146846	+	0.0130329i
$183$	197.937	+	157.850i	1.08162	+	0.862566i
$184$	−222.341	+	77.8005i	−1.20838	+	0.422829i
$185$	−10.5404	+	93.5489i	−0.0569753	+	0.505670i
$186$	37.6047	−	37.6047i	0.202176	−	0.202176i
$187$	84.4289	−	67.3298i	0.451491	−	0.360052i
$188$	−15.4643	+	24.6113i	−0.0822570	+	0.130911i
$189$	7.01352	+	4.40689i	0.0371086	+	0.0233169i
$190$	−95.0691	−	119.213i	−0.500364	−	0.627437i
$191$	−107.857	−	107.857i	−0.564698	−	0.564698i	0.365940	−	0.930638i	$-0.380747\pi$
$191$	−107.857	−	107.857i	−0.564698	−	0.564698i	−0.930638	+	0.365940i	$0.880747\pi$
$192$	−144.271	−	16.2554i	−0.751410	−	0.0846635i
$193$	66.7211	+	190.678i	0.345705	+	0.987969i	0.977151	+	0.212548i	$0.0681763\pi$
$193$	66.7211	+	190.678i	0.345705	+	0.987969i	−0.631445	+	0.775420i	$0.717538\pi$
$194$	−55.0632	+	69.0470i	−0.283831	+	0.355913i
$195$	−43.0584	+	4.85152i	−0.220812	+	0.0248796i
$196$	−35.4925	−	73.7008i	−0.181084	−	0.376025i
$197$	−76.3058	−	334.317i	−0.387339	−	1.69704i	−0.673769	−	0.738942i	$-0.735326\pi$
$197$	−76.3058	−	334.317i	−0.387339	−	1.69704i	0.286431	−	0.958101i	$-0.407531\pi$
$198$	18.7861	−	82.3071i	0.0948791	−	0.415693i
$199$	267.208	+	128.681i	1.34275	+	0.646636i	0.960722	−	0.277513i	$-0.0895101\pi$
$199$	267.208	+	128.681i	1.34275	+	0.646636i	0.382032	+	0.924149i	$0.375224\pi$
$200$	−37.4477	+	107.020i	−0.187239	+	0.535098i
$201$	−104.563	−	166.411i	−0.520214	−	0.827915i
$202$		−	123.828i		−	0.613008i
$203$	−4.15449	−	7.10522i	−0.0204655	−	0.0350011i
$204$	−28.3112			−0.138780
$205$	−189.504	+	119.073i	−0.924410	+	0.580845i
$206$	−271.628	−	95.0466i	−1.31858	−	0.461391i
$207$	−44.9602	+	93.3608i	−0.217199	+	0.451018i
$208$	−35.0136	−	7.99162i	−0.168335	−	0.0384213i
$209$	410.556	−	93.7067i	1.96438	−	0.448357i
$210$	3.06676	−	1.47688i	0.0146036	−	0.00703274i
$211$	−23.1896	−	205.814i	−0.109903	−	0.975420i	−0.920748	−	0.390158i	$-0.872420\pi$
$211$	−23.1896	−	205.814i	−0.109903	−	0.975420i	0.810845	−	0.585262i	$-0.199008\pi$
$212$	7.70221	+	6.14231i	0.0363312	+	0.0289731i
$213$	124.337	−	43.5074i	0.583741	−	0.204260i
$214$	−4.72874	+	41.9688i	−0.0220969	+	0.196116i
$215$	164.833	−	164.833i	0.766666	−	0.766666i
$216$	−197.467	+	157.475i	−0.914200	+	0.729050i
$217$	2.30965	−	3.67579i	0.0106435	−	0.0169391i
$218$	120.831	+	75.9234i	0.554273	+	0.348272i
$219$	−70.5440	−	88.4594i	−0.322119	−	0.403924i
$220$	59.2822	+	59.2822i	0.269465	+	0.269465i
$221$	−40.6974	−	4.58549i	−0.184151	−	0.0207488i
$222$	−31.3400	−	89.5646i	−0.141171	−	0.403444i
$223$	−17.9820	+	22.5487i	−0.0806367	+	0.101115i	−0.820513	−	0.571627i	$-0.806312\pi$
$223$	−17.9820	+	22.5487i	−0.0806367	+	0.101115i	0.739877	+	0.672742i	$0.234884\pi$
$224$	−6.95951	+	0.784148i	−0.0310692	+	0.00350066i
$225$	21.6407	+	44.9373i	0.0961808	+	0.199722i
$226$	50.7785	+	222.475i	0.224684	+	0.984403i
$227$	−34.9328	+	153.050i	−0.153889	+	0.674231i	0.837844	+	0.545910i	$0.183816\pi$
$227$	−34.9328	+	153.050i	−0.153889	+	0.674231i	−0.991733	+	0.128321i	$0.959041\pi$
$228$	−99.4695	−	47.9020i	−0.436270	−	0.210096i
$229$	−104.546	+	298.776i	−0.456534	+	1.30470i	0.453902	+	0.891051i	$0.350031\pi$
$229$	−104.546	+	298.776i	−0.456534	+	1.30470i	−0.910437	+	0.413648i	$0.864254\pi$
$230$	76.2143	+	121.294i	0.331367	+	0.527367i
$231$			9.40070i			0.0406957i
$232$	246.335	−	48.0144i	1.06179	−	0.206959i
$233$	421.117			1.80737			0.903684	−	0.428200i	$-0.140852\pi$
$233$	421.117			1.80737			0.903684	+	0.428200i	$0.140852\pi$
$234$	−27.1103	+	17.0346i	−0.115856	+	0.0727972i
$235$	56.5948	+	19.8034i	0.240829	+	0.0842697i
$236$	31.3048	−	65.0051i	0.132648	−	0.275445i
$237$	216.683	+	49.4564i	0.914273	+	0.208677i
$238$	3.13654	−	0.715895i	0.0131788	−	0.00300796i
$239$	−187.354	+	90.2247i	−0.783906	+	0.377509i	−0.782628	−	0.622490i	$-0.786121\pi$
$239$	−187.354	+	90.2247i	−0.783906	+	0.377509i	−0.00127824	+	0.999999i	$0.500407\pi$
$240$	5.73406	+	50.8912i	0.0238919	+	0.212047i
$241$	10.8085	+	8.61948i	0.0448485	+	0.0357655i	0.645658	−	0.763627i	$-0.276583\pi$
$241$	10.8085	+	8.61948i	0.0448485	+	0.0357655i	−0.600809	+	0.799393i	$0.705155\pi$
$242$	129.988	−	45.4848i	0.537141	−	0.187954i
$243$	−21.1819	+	187.994i	−0.0871682	+	0.773639i
$244$	−131.362	+	131.362i	−0.538368	+	0.538368i
$245$	−131.929	+	105.210i	−0.538487	+	0.429429i
$246$	120.020	−	191.011i	0.487886	−	0.776467i
$247$	−135.229	−	84.9700i	−0.547486	−	0.344008i
$248$	82.5325	+	103.493i	0.332792	+	0.417309i
$249$	−1.71120	−	1.71120i	−0.00687229	−	0.00687229i
$250$	199.262	+	22.4514i	0.797048	+	0.0898057i
$251$	−20.8320	−	59.5343i	−0.0829959	−	0.237189i	0.894905	−	0.446256i	$-0.147243\pi$
$251$	−20.8320	−	59.5343i	−0.0829959	−	0.237189i	−0.977901	+	0.209067i	$0.932957\pi$
$252$	−1.12649	+	1.41257i	−0.00447018	+	0.00560543i
$253$	−393.142	+	44.2964i	−1.55392	+	0.175085i
$254$	−63.6839	−	132.241i	−0.250724	−	0.520634i
$255$	12.9956	+	56.9372i	0.0509629	+	0.223283i
$256$	57.2170	−	250.684i	0.223504	−	0.979234i
$257$	−387.505	−	186.613i	−1.50780	−	0.726120i	−0.516325	−	0.856393i	$-0.672700\pi$
$257$	−387.505	−	186.613i	−1.50780	−	0.726120i	−0.991478	+	0.130273i	$0.958415\pi$
$258$	−77.6033	+	221.778i	−0.300788	+	0.859603i
$259$	−4.12104	−	6.55859i	−0.0159113	−	0.0253228i
$260$		−	31.7956i		−	0.122291i
$261$	61.6887	−	91.5590i	0.236355	−	0.350801i
$262$	155.658			0.594116
$263$	10.7365	−	6.74620i	0.0408232	−	0.0256509i	−0.511466	−	0.859304i	$-0.670897\pi$
$263$	10.7365	−	6.74620i	0.0408232	−	0.0256509i	0.552289	+	0.833653i	$0.313754\pi$
$264$	−270.561	−	94.6735i	−1.02485	−	0.358612i
$265$	8.81741	−	18.3095i	0.0332733	−	0.0690926i
$266$	12.2313	+	2.79172i	0.0459824	+	0.0104952i
$267$	193.216	−	44.1004i	0.723657	−	0.165170i
$268$	129.933	−	62.5725i	0.484825	−	0.233479i
$269$	−28.0878	−	249.286i	−0.104416	−	0.926714i	−0.931278	−	0.364310i	$-0.881305\pi$
$269$	−28.0878	−	249.286i	−0.104416	−	0.926714i	0.826862	−	0.562404i	$-0.190124\pi$
$270$	120.086	+	95.7654i	0.444763	+	0.354687i
$271$	214.664	−	75.1142i	0.792119	−	0.277174i	0.0962629	−	0.995356i	$-0.469311\pi$
$271$	214.664	−	75.1142i	0.792119	−	0.277174i	0.695856	+	0.718182i	$0.255025\pi$
$272$	−5.41964	+	48.1007i	−0.0199252	+	0.176841i
$273$	2.52100	−	2.52100i	0.00923444	−	0.00923444i
$274$	52.4503	−	41.8278i	0.191425	−	0.152656i
$275$	−101.314	+	161.240i	−0.368415	+	0.586328i
$276$	87.8235	+	55.1832i	0.318201	+	0.199939i
$277$	−266.485	−	334.162i	−0.962040	−	1.20636i	−0.978448	−	0.206495i	$-0.933794\pi$
$277$	−266.485	−	334.162i	−0.962040	−	1.20636i	0.0164075	−	0.999865i	$-0.494777\pi$
$278$	−65.4513	−	65.4513i	−0.235436	−	0.235436i
$279$	57.8641	+	6.51972i	0.207398	+	0.0233682i
$280$	2.79827	+	7.99700i	0.00999383	+	0.0285607i
$281$	−259.886	+	325.887i	−0.924862	+	1.15974i	0.0619844	+	0.998077i	$0.480257\pi$
$281$	−259.886	+	325.887i	−0.924862	+	1.15974i	−0.986846	+	0.161663i	$0.948314\pi$
$282$	−60.0563	+	6.76672i	−0.212966	+	0.0239955i
$283$	−202.446	−	420.383i	−0.715356	−	1.48545i	−0.867681	−	0.497121i	$-0.834390\pi$
$283$	−202.446	−	420.383i	−0.715356	−	1.48545i	0.152325	−	0.988330i	$-0.451324\pi$
$284$	21.5091	+	94.2376i	0.0757363	+	0.331823i
$285$	−50.6777	+	222.033i	−0.177816	+	0.779065i
$286$	−110.138	−	53.0396i	−0.385097	−	0.185453i
$287$	6.08202	−	17.3814i	0.0211917	−	0.0605624i
$288$	−49.9800	−	79.5427i	−0.173542	−	0.276190i
$289$		−	233.801i		−	0.809000i
$290$	−61.8015	−	139.551i	−0.213109	−	0.481209i
$291$	131.907			0.453288
$292$	70.2980	−	44.1712i	0.240747	−	0.151271i
$293$	285.468	+	99.8897i	0.974295	+	0.340921i	0.770039	−	0.637997i	$-0.220237\pi$
$293$	285.468	+	99.8897i	0.974295	+	0.340921i	0.204256	+	0.978917i	$0.434522\pi$
$294$	73.7974	−	153.242i	0.251012	−	0.521231i
$295$	−145.103	−	33.1188i	−0.491874	−	0.112267i
$296$	230.265	−	52.5566i	0.777924	−	0.177556i
$297$	−382.189	+	184.053i	−1.28683	+	0.619706i
$298$	−16.7760	−	148.891i	−0.0562954	−	0.499635i
$299$	117.309	+	93.5504i	0.392336	+	0.312878i
$300$	47.1227	−	16.4889i	0.157076	−	0.0549632i
$301$	−2.14749	+	19.0595i	−0.00713451	+	0.0633205i
$302$	−2.52899	+	2.52899i	−0.00837414	+	0.00837414i
$303$	−144.599	+	115.314i	−0.477225	+	0.380575i
$304$	−100.427	+	159.829i	−0.330352	+	0.525752i
$305$	324.483	+	203.886i	1.06388	+	0.668479i
$306$	26.9060	+	33.7390i	0.0879280	+	0.110258i
$307$	−271.866	−	271.866i	−0.885558	−	0.885558i	0.108534	−	0.994093i	$-0.465384\pi$
$307$	−271.866	−	271.866i	−0.885558	−	0.885558i	−0.994093	+	0.108534i	$0.965384\pi$
$308$	−6.85474	−	0.772343i	−0.0222556	−	0.00250761i
$309$	141.962	+	405.704i	0.459424	+	1.31296i
$310$	50.1906	−	62.9370i	0.161905	−	0.203023i
$311$	−124.784	+	14.0597i	−0.401233	+	0.0452081i	−0.310276	−	0.950647i	$-0.600421\pi$
$311$	−124.784	+	14.0597i	−0.401233	+	0.0452081i	−0.0909576	+	0.995855i	$0.528993\pi$
$312$	47.1682	+	97.9457i	0.151180	+	0.313928i
$313$	13.5770	+	59.4846i	0.0433769	+	0.190047i	0.991975	−	0.126438i	$-0.0403545\pi$
$313$	13.5770	+	59.4846i	0.0433769	+	0.190047i	−0.948598	+	0.316485i	$0.897497\pi$
$314$	−26.5964	+	116.527i	−0.0847020	+	0.371104i
$315$	3.35793	+	1.61709i	0.0106601	+	0.00513363i
$316$	−53.8645	+	153.936i	−0.170457	+	0.487139i
$317$	239.824	+	381.678i	0.756543	+	1.20403i	0.973686	+	0.227892i	$0.0731833\pi$
$317$	239.824	+	381.678i	0.756543	+	1.20403i	−0.217143	+	0.976140i	$0.569674\pi$
$318$			20.4837i			0.0644140i
$319$	421.297	+	13.4431i	1.32068	+	0.0421413i
$320$	−219.762			−0.686757
$321$	53.4125	−	33.5613i	0.166394	−	0.104552i
$322$	−11.1252	−	3.89288i	−0.0345503	−	0.0120897i
$323$	−93.3958	+	193.938i	−0.289151	+	0.600429i
$324$	52.5665	+	11.9980i	0.162242	+	0.0370307i
$325$	70.4096	−	16.0705i	0.216645	−	0.0494478i
$326$	81.6360	−	39.3138i	0.250417	−	0.120594i
$327$	−23.8646	−	211.804i	−0.0729804	−	0.647719i
$328$	439.003	+	350.093i	1.33842	+	1.06736i
$329$	−4.65658	+	1.62941i	−0.0141537	+	0.00495261i
$330$	−19.5175	+	173.223i	−0.0591441	+	0.524918i
$331$	295.773	−	295.773i	0.893575	−	0.893575i	−0.101283	−	0.994858i	$-0.532295\pi$
$331$	295.773	−	295.773i	0.893575	−	0.893575i	0.994858	+	0.101283i	$0.0322946\pi$
$332$	1.38835	−	1.10717i	0.00418178	−	0.00333486i
$333$	55.2773	−	87.9734i	0.165998	−	0.264184i
$334$	−105.010	−	65.9822i	−0.314402	−	0.197552i
$335$	−185.483	−	232.589i	−0.553682	−	0.694295i
$336$	−2.97960	−	2.97960i	−0.00886785	−	0.00886785i
$337$	−90.2891	−	10.1731i	−0.267920	−	0.0301873i	−0.0230176	−	0.999735i	$-0.507327\pi$
$337$	−90.2891	−	10.1731i	−0.267920	−	0.0301873i	−0.244902	+	0.969548i	$0.578756\pi$
$338$	−69.8493	−	199.618i	−0.206655	−	0.590586i
$339$	212.507	−	266.476i	0.626865	−	0.786064i
$340$	−42.5848	+	4.79815i	−0.125249	+	0.0141122i
$341$	96.4620	+	200.305i	0.282880	+	0.587406i
$342$	37.4466	+	164.064i	0.109493	+	0.479720i
$343$	6.18411	−	27.0944i	0.0180295	−	0.0789923i
$344$	−526.923	−	253.753i	−1.53175	−	0.737654i
$345$	70.6668	−	201.954i	0.204831	−	0.585374i
$346$	27.7095	+	44.0994i	0.0800853	+	0.127455i
$347$			392.579i			1.13135i	0.824628	+	0.565676i	$0.191385\pi$
$347$			392.579i			1.13135i	−0.824628	+	0.565676i	$0.808615\pi$
$348$	−84.1566	−	71.6204i	−0.241829	−	0.205806i
$349$	−487.106			−1.39572			−0.697860	−	0.716234i	$-0.745864\pi$
$349$	−487.106			−1.39572			−0.697860	+	0.716234i	$0.745864\pi$
$350$	−4.80368	+	3.01836i	−0.0137248	+	0.00862387i
$351$	151.850	+	53.1346i	0.432621	+	0.151381i
$352$	155.620	−	323.148i	0.442103	−	0.918035i
$353$	98.6003	+	22.5049i	0.279321	+	0.0637532i	0.359886	−	0.932996i	$-0.382815\pi$
$353$	98.6003	+	22.5049i	0.279321	+	0.0637532i	−0.0805655	+	0.996749i	$0.525673\pi$
$354$	146.257	−	33.3821i	0.413154	−	0.0942998i
$355$	179.650	−	86.5149i	0.506056	−	0.243704i
$356$	16.2825	+	144.511i	0.0457374	+	0.405931i
$357$	−3.75688	−	2.99601i	−0.0105235	−	0.00839219i
$358$	104.931	−	36.7170i	0.293104	−	0.102562i
$359$	3.96158	−	35.1600i	0.0110350	−	0.0979386i	−0.986987	−	0.160798i	$-0.948593\pi$
$359$	3.96158	−	35.1600i	0.0110350	−	0.0979386i	0.998022	+	0.0628592i	$0.0200219\pi$
$360$	−80.3590	+	80.3590i	−0.223219	+	0.223219i
$361$	−374.039	+	298.286i	−1.03612	+	0.826277i
$362$	−102.264	+	162.753i	−0.282498	+	0.449593i
$363$	−174.166	−	109.436i	−0.479796	−	0.301476i
$364$	1.63113	+	2.04537i	0.00448111	+	0.00561914i
$365$	−121.102	−	121.102i	−0.331787	−	0.331787i
$366$	−383.840	−	43.2484i	−1.04874	−	0.118165i
$367$	−76.1146	−	217.523i	−0.207397	−	0.592706i	0.792455	−	0.609930i	$-0.208803\pi$
$367$	−76.1146	−	217.523i	−0.207397	−	0.592706i	−0.999852	+	0.0172247i	$0.994517\pi$
$368$	110.568	−	138.648i	0.300457	−	0.376761i
$369$	245.453	−	27.6559i	0.665184	−	0.0749482i
$370$	−62.3199	−	129.409i	−0.168432	−	0.349753i
$371$	0.372074	+	1.63016i	0.00100289	+	0.00439397i
$372$	12.9698	−	56.8245i	0.0348651	−	0.152754i
$373$	402.935	+	194.043i	1.08026	+	0.520224i	0.887398	−	0.461003i	$-0.152510\pi$
$373$	402.935	+	194.043i	1.08026	+	0.520224i	0.192857	+	0.981227i	$0.438225\pi$
$374$	−54.4170	+	155.515i	−0.145500	+	0.415815i
$375$	−159.345	−	253.595i	−0.424919	−	0.676254i
$376$		−	150.431i		−	0.400082i
$377$	−109.375	−	116.585i	−0.290119	−	0.309244i
$378$	−12.6377			−0.0334332
$379$	−215.124	+	135.171i	−0.567609	+	0.356653i	−0.785061	−	0.619419i	$-0.787368\pi$
$379$	−215.124	+	135.171i	−0.567609	+	0.356653i	0.217452	+	0.976071i	$0.430226\pi$
$380$	−157.737	−	55.1946i	−0.415098	−	0.145249i
$381$	−95.1185	+	197.516i	−0.249655	+	0.518414i
$382$	226.888	+	51.7858i	0.593949	+	0.135565i
$383$	−215.485	+	49.1830i	−0.562624	+	0.128415i	−0.494368	−	0.869253i	$-0.664601\pi$
$383$	−215.485	+	49.1830i	−0.562624	+	0.128415i	−0.0682557	+	0.997668i	$0.521743\pi$
$384$	−3.08351	+	1.48494i	−0.00802998	+	0.00386703i
$385$	1.59322	+	14.1402i	0.00413824	+	0.0367279i
$386$	−240.974	−	192.171i	−0.624286	−	0.497851i
$387$	−242.834	+	84.9712i	−0.627477	+	0.219564i
$388$	−10.8372	+	96.1830i	−0.0279310	+	0.247894i
$389$	408.712	−	408.712i	1.05067	−	1.05067i	0.0520279	−	0.998646i	$-0.483432\pi$
$389$	408.712	−	408.712i	1.05067	−	1.05067i	0.998646	−	0.0520279i	$-0.0165685\pi$
$390$	51.6876	−	41.2195i	0.132532	−	0.105691i
$391$	107.592	−	171.232i	0.275172	−	0.437933i
$392$	358.466	+	225.239i	0.914455	+	0.574590i
$393$	−144.956	−	181.769i	−0.368846	−	0.462518i
$394$	369.953	+	369.953i	0.938968	+	0.938968i
$395$	334.309	+	37.6676i	0.846352	+	0.0953610i
$396$	−30.5599	−	87.3351i	−0.0771714	−	0.220543i
$397$	−173.996	+	218.184i	−0.438277	+	0.549582i	−0.951088	−	0.308919i	$-0.900033\pi$
$397$	−173.996	+	218.184i	−0.438277	+	0.549582i	0.512811	+	0.858501i	$0.328604\pi$
$398$	−449.651	+	50.6635i	−1.12978	+	0.127295i
$399$	−8.13036	−	16.8829i	−0.0203768	−	0.0423129i
$400$	−18.9939	−	83.2179i	−0.0474849	−	0.208045i
$401$	−71.9206	+	315.105i	−0.179353	+	0.785797i	0.802576	+	0.596549i	$0.203462\pi$
$401$	−71.9206	+	315.105i	−0.179353	+	0.785797i	−0.981929	+	0.189248i	$0.939395\pi$
$402$	270.163	+	130.103i	0.672046	+	0.323640i
$403$	27.8478	−	79.5846i	0.0691014	−	0.197480i
$404$	−72.2040	−	114.912i	−0.178723	−	0.284435i
$405$		−	111.225i		−	0.274629i
$406$	11.1346	+	5.80665i	0.0274251	+	0.0143021i
$407$	396.683			0.974650
$408$	124.063	−	77.9542i	0.304077	−	0.191064i
$409$	138.542	+	48.4780i	0.338734	+	0.118528i	0.494285	−	0.869300i	$-0.335430\pi$
$409$	138.542	+	48.4780i	0.338734	+	0.118528i	−0.155552	+	0.987828i	$0.549715\pi$
$410$	148.158	−	307.653i	0.361361	−	0.750374i
$411$	−97.6885	−	22.2968i	−0.237685	−	0.0542500i
$412$	−307.492	+	70.1830i	−0.746340	+	0.170347i
$413$	11.0333	−	5.31334i	0.0267149	−	0.0128652i
$414$	−17.7015	−	157.105i	−0.0427573	−	0.379481i
$415$	−2.86394	−	2.28392i	−0.00690107	−	0.00550342i
$416$	−128.392	+	44.9264i	−0.308635	+	0.107996i
$417$	−15.4792	+	137.382i	−0.0371204	+	0.329453i
$418$	−454.318	+	454.318i	−1.08689	+	1.08689i
$419$	554.089	−	441.871i	1.32241	−	1.05459i	0.328485	−	0.944509i	$-0.393462\pi$
$419$	554.089	−	441.871i	1.32241	−	1.05459i	0.993923	−	0.110076i	$-0.0351093\pi$
$420$	1.98479	−	3.15877i	0.00472568	−	0.00752088i
$421$	−408.042	−	256.390i	−0.969220	−	0.609001i	−0.0483331	−	0.998831i	$-0.515391\pi$
$421$	−408.042	−	256.390i	−0.969220	−	0.609001i	−0.920887	+	0.389830i	$0.872534\pi$
$422$	197.024	+	247.060i	0.466880	+	0.585449i
$423$	−46.7923	−	46.7923i	−0.110620	−	0.110620i
$424$	−50.6648	−	5.70855i	−0.119492	−	0.0134636i
$425$	−32.1490	−	91.8764i	−0.0756446	−	0.216180i
$426$	−125.310	+	157.134i	−0.294155	+	0.368859i
$427$	−31.3329	+	3.53037i	−0.0733792	+	0.00826786i
$428$	20.0837	+	41.7043i	0.0469246	+	0.0974400i
$429$	40.6287	+	178.006i	0.0947057	+	0.414933i
$430$	−79.1418	+	346.743i	−0.184051	+	0.806379i
$431$	158.220	+	76.1946i	0.367099	+	0.176786i	0.608334	−	0.793681i	$-0.291838\pi$
$431$	158.220	+	76.1946i	0.367099	+	0.176786i	−0.241235	+	0.970467i	$0.577552\pi$
$432$	62.8004	−	179.473i	0.145371	−	0.415447i
$433$	2.79964	+	4.45560i	0.00646568	+	0.0102901i	0.849941	−	0.526877i	$-0.176637\pi$
$433$	2.79964	+	4.45560i	0.00646568	+	0.0102901i	−0.843476	+	0.537167i	$0.819494\pi$
$434$			6.62344i			0.0152614i
$435$	−105.407	+	202.125i	−0.242316	+	0.464654i
$436$	156.402			0.358721
$437$	667.739	−	419.568i	1.52801	−	0.960110i
$438$	162.939	+	57.0148i	0.372006	+	0.130171i
$439$	−232.675	+	483.154i	−0.530010	+	1.10058i	0.448386	+	0.893840i	$0.351999\pi$
$439$	−232.675	+	483.154i	−0.530010	+	1.10058i	−0.978396	+	0.206738i	$0.933715\pi$
$440$	−423.015	−	96.5504i	−0.961398	−	0.219433i
$441$	181.565	−	41.4410i	0.411712	−	0.0939705i
$442$	56.2977	−	27.1116i	0.127370	−	0.0613384i
$443$	49.1601	+	436.308i	0.110971	+	0.984894i	0.918596	+	0.395198i	$0.129324\pi$
$443$	49.1601	+	436.308i	0.110971	+	0.984894i	−0.807625	+	0.589696i	$0.799247\pi$
$444$	−81.3086	−	64.8415i	−0.183128	−	0.146039i
$445$	283.156	−	99.0805i	0.636305	−	0.222653i
$446$	4.92679	−	43.7265i	0.0110466	−	0.0980414i
$447$	−158.245	+	158.245i	−0.354015	+	0.354015i
$448$	14.1370	−	11.2739i	0.0315558	−	0.0251649i
$449$	27.2504	−	43.3687i	0.0606912	−	0.0965896i	−0.815000	−	0.579461i	$-0.803263\pi$
$449$	27.2504	−	43.3687i	0.0606912	−	0.0965896i	0.875691	+	0.482871i	$0.160406\pi$
$450$	−64.4340	−	40.4866i	−0.143187	−	0.0899701i
$451$	587.991	+	737.318i	1.30375	+	1.63485i
$452$	176.848	+	176.848i	0.391256	+	0.391256i
$453$	5.30833	+	0.598106i	0.0117182	+	0.00132032i
$454$	−79.1076	−	226.077i	−0.174246	−	0.497966i
$455$	3.36475	−	4.21927i	0.00739506	−	0.00927311i
$456$	567.786	−	63.9741i	1.24514	−	0.140294i
$457$	141.198	+	293.202i	0.308968	+	0.641579i	0.996410	−	0.0846606i	$-0.0269806\pi$
$457$	141.198	+	293.202i	0.308968	+	0.641579i	−0.687442	+	0.726240i	$0.741266\pi$
$458$	−107.467	−	470.843i	−0.234644	−	1.02804i
$459$	48.2496	−	211.395i	0.105119	−	0.460556i
$460$	141.454	+	68.1205i	0.307508	+	0.148088i
$461$	−3.04533	+	8.70305i	−0.00660592	+	0.0188786i	−0.947139	−	0.320823i	$-0.896040\pi$
$461$	−3.04533	+	8.70305i	−0.00660592	+	0.0188786i	0.940533	+	0.339702i	$0.110326\pi$
$462$	−7.63086	−	12.1444i	−0.0165170	−	0.0262867i
$463$			107.108i			0.231334i	0.993288	+	0.115667i	$0.0369005\pi$
$463$			107.108i			0.231334i	−0.993288	+	0.115667i	$0.963099\pi$
$464$	−137.793	+	129.271i	−0.296968	+	0.278602i
$465$	−120.234			−0.258569
$466$	−544.026	+	341.834i	−1.16744	+	0.733550i
$467$	−666.211	−	233.117i	−1.42658	−	0.499180i	−0.496980	−	0.867762i	$-0.665558\pi$
$467$	−666.211	−	233.117i	−1.42658	−	0.499180i	−0.929595	+	0.368582i	$0.879843\pi$
$468$	−15.2255	+	31.6161i	−0.0325331	+	0.0675558i
$469$	23.8638	+	5.44675i	0.0508822	+	0.0116135i
$470$	−89.1880	+	20.3566i	−0.189762	+	0.0433119i
$471$	160.841	−	77.4572i	0.341489	−	0.164453i
$472$	41.8082	+	371.058i	0.0885768	+	0.786140i
$473$	−767.959	−	612.427i	−1.62359	−	1.29477i
$474$	−320.070	+	111.997i	−0.675254	+	0.236282i
$475$	42.4999	−	377.197i	0.0894735	−	0.794099i
$476$	2.49327	−	2.49327i	0.00523796	−	0.00523796i
$477$	−17.5353	+	13.9839i	−0.0367615	+	0.0293163i
$478$	168.797	−	268.639i	0.353132	−	0.562007i
$479$	−268.422	−	168.661i	−0.560380	−	0.352110i	0.221868	−	0.975077i	$-0.428784\pi$
$479$	−268.422	−	168.661i	−0.560380	−	0.352110i	−0.782249	+	0.622966i	$0.785927\pi$
$480$	120.939	+	151.653i	0.251957	+	0.315944i
$481$	−106.379	−	106.379i	−0.221162	−	0.221162i
$482$	−20.9598	−	2.36160i	−0.0434851	−	0.00489959i
$483$	5.81442	+	16.6166i	0.0120381	+	0.0344030i
$484$	94.1067	−	118.006i	0.194435	−	0.243814i
$485$	198.410	−	22.3555i	0.409093	−	0.0460937i
$486$	−125.237	−	260.057i	−0.257689	−	0.535097i
$487$	−60.5532	−	265.301i	−0.124339	−	0.544765i	−0.998274	−	0.0587228i	$-0.981297\pi$
$487$	−60.5532	−	265.301i	−0.124339	−	0.544765i	0.873935	−	0.486042i	$-0.161560\pi$
$488$	213.943	−	937.347i	0.438409	−	1.92079i
$489$	−121.932	−	58.7193i	−0.249349	−	0.120080i
$490$	85.0325	−	243.009i	0.173536	−	0.495936i
$491$	−21.2173	−	33.7671i	−0.0432123	−	0.0687720i	0.824420	−	0.565979i	$-0.191502\pi$
$491$	−21.2173	−	33.7671i	−0.0432123	−	0.0687720i	−0.867632	+	0.497207i	$0.834359\pi$
$492$		−	247.242i		−	0.502524i
$493$	−139.640	+	164.082i	−0.283246	+	0.332824i
$494$	243.671			0.493260
$495$	−161.614	+	101.549i	−0.326492	+	0.205149i
$496$	−94.0619	−	32.9137i	−0.189641	−	0.0663582i
$497$	−7.11838	+	14.7815i	−0.0143227	+	0.0297414i
$498$	3.59968	+	0.821603i	0.00722827	+	0.00164981i
$499$	−733.757	+	167.475i	−1.47046	+	0.335622i	−0.881362	−	0.472442i	$-0.843372\pi$
$499$	−733.757	+	167.475i	−1.47046	+	0.335622i	−0.589094	+	0.808064i	$0.700515\pi$
$500$	198.006	−	95.3549i	0.396013	−	0.190710i
$501$	20.7398	+	184.071i	0.0413969	+	0.367407i
$502$	75.2381	+	60.0004i	0.149877	+	0.119523i
$503$	−475.580	+	166.413i	−0.945487	+	0.330840i	−0.758611	−	0.651544i	$-0.774122\pi$
$503$	−475.580	+	166.413i	−0.945487	+	0.330840i	−0.186875	+	0.982384i	$0.559836\pi$
$504$	1.04694	−	9.29182i	0.00207725	−	0.0184361i
$505$	−197.958	+	197.958i	−0.391997	+	0.391997i
$506$	471.929	−	376.351i	0.932667	−	0.743777i
$507$	−168.056	+	267.460i	−0.331472	+	0.527534i
$508$	−136.208	−	85.5854i	−0.268127	−	0.168475i
$509$	−156.669	−	196.457i	−0.307798	−	0.385967i	0.603741	−	0.797181i	$-0.293676\pi$
$509$	−156.669	−	196.457i	−0.307798	−	0.385967i	−0.911539	+	0.411214i	$0.865105\pi$
$510$	−63.0063	−	63.0063i	−0.123542	−	0.123542i
$511$	14.0029	+	1.57775i	0.0274029	+	0.00308757i
$512$	127.588	+	364.624i	0.249195	+	0.712157i
$513$	527.199	−	661.086i	1.02768	−	1.28867i
$514$	652.085	−	73.4723i	1.26865	−	0.142942i
$515$	282.293	+	586.188i	0.548142	+	1.13823i
$516$	57.3028	+	251.060i	0.111052	+	0.486550i
$517$	56.2205	−	246.318i	0.108744	−	0.476437i
$518$	10.6477	+	5.12764i	0.0205553	+	0.00989892i
$519$	25.6926	−	73.4252i	0.0495040	−	0.141474i
$520$	87.5486	+	139.333i	0.168363	+	0.267948i
$521$			240.735i			0.462063i	0.972946	+	0.231031i	$0.0742100\pi$
$521$			240.735i			0.462063i	−0.972946	+	0.231031i	$0.925790\pi$
$522$	−5.37205	+	168.357i	−0.0102913	+	0.322522i
$523$	−250.645			−0.479245			−0.239623	−	0.970866i	$-0.577024\pi$
$523$	−250.645			−0.479245			−0.239623	+	0.970866i	$0.577024\pi$
$524$	144.451	−	90.7644i	0.275669	−	0.173215i
$525$	7.99809	+	2.79865i	0.0152345	+	0.00533077i
$526$	−8.39402	+	17.4304i	−0.0159582	+	0.0331376i
$527$	−110.792	−	25.2876i	−0.210232	−	0.0479841i
$528$	210.387	−	48.0195i	0.398461	−	0.0909461i
$529$	−190.906	+	91.9355i	−0.360881	+	0.173791i
$530$	3.47155	+	30.8109i	0.00655009	+	0.0581337i
$531$	128.424	+	102.415i	0.241854	+	0.192872i
$532$	12.9785	−	4.54138i	0.0243957	−	0.00853642i
$533$	40.0451	−	355.410i	0.0751315	−	0.666811i
$534$	−213.812	+	213.812i	−0.400397	+	0.400397i
$535$	74.6535	−	59.5342i	0.139539	−	0.111279i
$536$	−397.092	+	631.969i	−0.740844	+	1.17905i
$537$	−140.593	−	88.3405i	−0.261812	−	0.164508i
$538$	238.639	+	299.244i	0.443568	+	0.556216i
$539$	502.780	+	502.780i	0.932802	+	0.932802i
$540$	167.281	+	18.8480i	0.309779	+	0.0349037i
$541$	288.943	+	825.753i	0.534091	+	1.52635i	0.822458	+	0.568826i	$0.192602\pi$
$541$	288.943	+	825.753i	0.534091	+	1.52635i	−0.288367	+	0.957520i	$0.593112\pi$
$542$	−216.345	+	271.287i	−0.399160	+	0.500530i
$543$	285.287	−	32.1441i	0.525391	−	0.0591973i
$544$	79.5463	+	165.180i	0.146225	+	0.303639i
$545$	−71.7927	−	314.544i	−0.131730	−	0.577145i
$546$	−1.21041	+	5.30317i	−0.00221688	+	0.00971277i
$547$	885.756	+	426.558i	1.61930	+	0.779813i	0.999986	−	0.00533110i	$-0.00169695\pi$
$547$	885.756	+	426.558i	1.61930	+	0.779813i	0.619313	+	0.785144i	$0.287411\pi$
$548$	24.2841	−	69.3999i	0.0443140	−	0.126642i
$549$	−225.019	−	358.115i	−0.409870	−	0.652305i
$550$		−	290.541i		−	0.528256i
$551$	−768.241	+	340.224i	−1.39427	+	0.617466i
$552$	−536.800			−0.972464
$553$	−23.4380	+	14.7271i	−0.0423833	+	0.0266312i
$554$	615.513	+	215.377i	1.11103	+	0.388768i
$555$	−93.0813	+	193.285i	−0.167714	+	0.348262i
$556$	−98.9034	−	22.5741i	−0.177884	−	0.0406008i
$557$	−697.102	+	159.109i	−1.25153	+	0.285653i	−0.796399	−	0.604771i	$-0.793264\pi$
$557$	−697.102	+	159.109i	−1.25153	+	0.285653i	−0.455130	+	0.890425i	$0.650407\pi$
$558$	−80.0450	+	38.5476i	−0.143450	+	0.0690818i
$559$	41.7093	+	370.180i	0.0746141	+	0.662219i
$560$	−4.98680	−	3.97684i	−0.00890499	−	0.00710150i
$561$	232.277	−	81.2774i	0.414042	−	0.144880i
$562$	71.2048	−	631.960i	0.126699	−	1.12448i
$563$	509.988	−	509.988i	0.905840	−	0.905840i	−0.0900931	−	0.995933i	$-0.528716\pi$
$563$	509.988	−	509.988i	0.905840	−	0.905840i	0.995933	+	0.0900931i	$0.0287165\pi$
$564$	−51.7865	+	41.2984i	−0.0918201	+	0.0732241i
$565$	274.485	−	436.840i	0.485814	−	0.773168i
$566$	602.771	+	378.746i	1.06497	+	0.669163i
$567$	5.70587	+	7.15494i	0.0100633	+	0.0126189i
$568$	−353.737	−	353.737i	−0.622776	−	0.622776i
$569$	19.5814	+	2.20630i	0.0344137	+	0.00387750i	0.129155	−	0.991624i	$-0.458774\pi$
$569$	19.5814	+	2.20630i	0.0344137	+	0.00387750i	−0.0947408	+	0.995502i	$0.530202\pi$
$570$	−114.763	−	327.974i	−0.201339	−	0.575393i
$571$	153.514	−	192.500i	0.268851	−	0.337128i	−0.629019	−	0.777390i	$-0.716543\pi$
$571$	153.514	−	192.500i	0.268851	−	0.337128i	0.897869	+	0.440262i	$0.145115\pi$
$572$	−133.135	+	15.0007i	−0.232754	+	0.0262251i
$573$	−150.816	−	313.174i	−0.263205	−	0.546551i
$574$	6.25192	+	27.3914i	0.0108918	+	0.0477203i
$575$	−79.3537	+	347.671i	−0.138007	+	0.604646i
$576$	218.521	+	105.234i	0.379377	+	0.182699i
$577$	305.351	−	872.644i	0.529205	−	1.51238i	−0.300279	−	0.953852i	$-0.597080\pi$
$577$	305.351	−	872.644i	0.529205	−	1.51238i	0.829484	−	0.558530i	$-0.188635\pi$
$578$	189.784	+	302.039i	0.328346	+	0.522559i
$579$			460.355i			0.795087i
$580$	−138.724	−	93.4664i	−0.239179	−	0.161149i
$581$	0.301399			0.000518759
$582$	−170.406	+	107.073i	−0.292794	+	0.183975i
$583$	−80.8260	−	28.2822i	−0.138638	−	0.0485116i
$584$	−186.431	+	387.128i	−0.319231	+	0.662890i
$585$	70.5727	+	16.1078i	0.120637	+	0.0275346i
$586$	−449.871	+	102.680i	−0.767697	+	0.175222i
$587$	−507.435	+	244.368i	−0.864456	+	0.416300i	−0.812923	−	0.582371i	$-0.802125\pi$
$587$	−507.435	+	244.368i	−0.864456	+	0.416300i	−0.0515328	+	0.998671i	$0.516411\pi$
$588$	−20.8715	−	185.240i	−0.0354958	−	0.315034i
$589$	−346.475	−	276.305i	−0.588243	−	0.469108i
$590$	214.337	−	74.9998i	0.363283	−	0.127118i
$591$	87.4939	−	776.530i	0.148044	−	1.31393i
$592$	−125.731	+	125.731i	−0.212383	+	0.212383i
$593$	40.7023	−	32.4590i	0.0686380	−	0.0547370i	−0.588570	−	0.808446i	$-0.700309\pi$
$593$	40.7023	−	32.4590i	0.0686380	−	0.0547370i	0.657208	+	0.753709i	$0.271737\pi$
$594$	344.336	−	548.007i	0.579690	−	0.922571i
$595$	−6.15874	−	3.86979i	−0.0103508	−	0.00650386i
$596$	−102.387	−	128.389i	−0.171790	−	0.215418i
$597$	477.899	+	477.899i	0.800500	+	0.800500i
$598$	−227.485	−	25.6314i	−0.380409	−	0.0428618i
$599$	−211.707	−	605.024i	−0.353434	−	1.01006i	−0.974127	−	0.226002i	$-0.927434\pi$
$599$	−211.707	−	605.024i	−0.353434	−	1.01006i	0.620693	−	0.784054i	$-0.286851\pi$
$600$	−161.096	+	202.008i	−0.268493	+	0.336680i
$601$	333.408	−	37.5661i	0.554756	−	0.0625060i	0.169864	−	0.985468i	$-0.445667\pi$
$601$	333.408	−	37.5661i	0.554756	−	0.0625060i	0.384892	+	0.922962i	$0.374239\pi$
$602$	−12.6969	−	26.3655i	−0.0210913	−	0.0437964i
$603$	73.0597	+	320.095i	0.121160	+	0.530838i
$604$	−0.872245	+	3.82156i	−0.00144411	+	0.00632708i
$605$	−280.522	−	135.092i	−0.463672	−	0.223293i
$606$	93.1986	−	266.346i	0.153793	−	0.439515i
$607$	−54.8088	−	87.2277i	−0.0902945	−	0.143703i	0.798523	−	0.601965i	$-0.205615\pi$
$607$	−54.8088	−	87.2277i	−0.0902945	−	0.143703i	−0.888817	+	0.458262i	$0.848472\pi$
$608$			714.938i			1.17589i
$609$	−3.58835	−	18.4098i	−0.00589220	−	0.0302296i
$610$	−584.690			−0.958508
$611$	−81.1322	+	50.9787i	−0.132786	+	0.0834349i
$612$	44.6420	+	15.6209i	0.0729444	+	0.0255243i
$613$	356.350	−	739.969i	0.581322	−	1.20713i	−0.378261	−	0.925699i	$-0.623478\pi$
$613$	356.350	−	739.969i	0.581322	−	1.20713i	0.959582	−	0.281428i	$-0.0908080\pi$
$614$	571.898	+	130.532i	0.931430	+	0.212593i
$615$	−497.233	+	113.490i	−0.808509	+	0.184537i
$616$	32.1650	−	15.4899i	0.0522159	−	0.0251459i
$617$	12.5149	+	111.073i	0.0202835	+	0.180021i	0.999769	−	0.0214938i	$-0.00684223\pi$
$617$	12.5149	+	111.073i	0.0202835	+	0.180021i	−0.979486	+	0.201515i	$0.935414\pi$
$618$	−512.719	−	408.880i	−0.829643	−	0.661618i
$619$	−86.4870	+	30.2631i	−0.139721	+	0.0488903i	−0.399233	−	0.916849i	$-0.630724\pi$
$619$	−86.4870	+	30.2631i	−0.139721	+	0.0488903i	0.259513	+	0.965740i	$0.416438\pi$
$620$	9.87823	−	87.6717i	0.0159326	−	0.141406i
$621$	−561.718	+	561.718i	−0.904539	+	0.904539i
$622$	149.791	−	119.454i	0.240821	−	0.192049i
$623$	−13.1321	+	20.8997i	−0.0210789	+	0.0335468i
$624$	−69.2974	−	43.5425i	−0.111054	−	0.0697796i
$625$	−78.4444	−	98.3662i	−0.125511	−	0.157386i
$626$	−65.8253	−	65.8253i	−0.105152	−	0.105152i
$627$	953.611	+	107.446i	1.52091	+	0.171366i
$628$	43.2653	+	123.645i	0.0688937	+	0.196887i
$629$	−126.423	+	158.530i	−0.200991	+	0.252035i
$630$	−5.65064	+	0.636675i	−0.00896928	+	0.00101059i
$631$	106.650	+	221.460i	0.169017	+	0.350967i	0.968222	−	0.250091i	$-0.0804605\pi$
$631$	106.650	+	221.460i	0.169017	+	0.350967i	−0.799206	+	0.601058i	$0.794746\pi$
$632$	−187.818	−	822.883i	−0.297180	−	1.30203i
$633$	105.026	−	460.147i	0.165917	−	0.726931i
$634$	−619.641	−	298.404i	−0.977352	−	0.470668i
$635$	−109.600	+	313.217i	−0.172598	+	0.493256i
$636$	11.9440	+	19.0088i	0.0187799	+	0.0298881i
$637$		−	269.663i		−	0.423333i
$638$	−555.172	+	324.614i	−0.870175	+	0.508800i
$639$	−220.064			−0.344388
$640$	−4.38645	+	2.75619i	−0.00685383	+	0.00430655i
$641$	916.494	+	320.695i	1.42979	+	0.500305i	0.930551	−	0.366161i	$-0.119328\pi$
$641$	916.494	+	320.695i	1.42979	+	0.500305i	0.499237	+	0.866466i	$0.333614\pi$
$642$	−41.7590	+	86.7134i	−0.0650451	+	0.135068i
$643$	48.0847	+	10.9750i	0.0747817	+	0.0170684i	0.259748	−	0.965676i	$-0.416360\pi$
$643$	48.0847	+	10.9750i	0.0747817	+	0.0170684i	−0.184966	+	0.982745i	$0.559218\pi$
$644$	−12.5941	+	2.87452i	−0.0195561	+	0.00446355i
$645$	478.609	−	230.486i	0.742029	−	0.357342i
$646$	−36.7714	−	326.355i	−0.0569216	−	0.505193i
$647$	−71.4194	−	56.9551i	−0.110386	−	0.0880295i	0.566742	−	0.823896i	$-0.308204\pi$
$647$	−71.4194	−	56.9551i	−0.110386	−	0.0880295i	−0.677127	+	0.735866i	$0.736775\pi$
$648$	−263.390	+	92.1640i	−0.406465	+	0.142228i
$649$	−70.2180	+	623.202i	−0.108194	+	0.960250i
$650$	−77.9148	+	77.9148i	−0.119869	+	0.119869i
$651$	7.73450	−	6.16806i	0.0118810	−	0.00947475i
$652$	52.8342	−	84.0852i	0.0810341	−	0.128965i
$653$	207.926	+	130.649i	0.318416	+	0.200074i	0.681751	−	0.731585i	$-0.261219\pi$
$653$	207.926	+	130.649i	0.318416	+	0.200074i	−0.363334	+	0.931659i	$0.618362\pi$
$654$	202.758	+	254.251i	0.310028	+	0.388762i
$655$	−248.845	−	248.845i	−0.379916	−	0.379916i
$656$	−420.063	−	47.3298i	−0.640340	−	0.0721490i
$657$	62.4279	+	178.409i	0.0950196	+	0.271551i
$658$	4.69303	−	5.88488i	0.00713227	−	0.00894359i
$659$	−259.653	+	29.2559i	−0.394011	+	0.0443943i	−0.306747	−	0.951791i	$-0.599241\pi$
$659$	−259.653	+	29.2559i	−0.394011	+	0.0443943i	−0.0872632	+	0.996185i	$0.527812\pi$
$660$	82.8942	+	172.132i	0.125597	+	0.260805i
$661$	217.845	+	954.443i	0.329569	+	1.44394i	0.819953	+	0.572431i	$0.194000\pi$
$661$	217.845	+	954.443i	0.329569	+	1.44394i	−0.490383	+	0.871507i	$0.663143\pi$
$662$	−142.010	+	622.188i	−0.214517	+	0.939862i
$663$	−84.0865	−	40.4939i	−0.126827	−	0.0610768i
$664$	−3.03536	+	8.67457i	−0.00457133	+	0.0130641i
$665$	−15.0907	−	24.0167i	−0.0226928	−	0.0361154i
$666$			158.520i			0.238018i
$667$	752.999	−	236.814i	1.12893	−	0.355044i
$668$	−135.924			−0.203478
$669$	−55.6495	+	34.9669i	−0.0831831	+	0.0522674i
$670$	428.420	+	149.911i	0.639432	+	0.223747i
$671$	700.629	−	1454.87i	1.04416	−	2.16821i
$672$	−15.5597	−	3.55140i	−0.0231543	−	0.00528482i
$673$	593.737	−	135.517i	0.882225	−	0.201362i	0.242671	−	0.970109i	$-0.421976\pi$
$673$	593.737	−	135.517i	0.882225	−	0.201362i	0.639554	+	0.768747i	$0.279119\pi$
$674$	124.899	−	60.1483i	0.185310	−	0.0892408i
$675$	42.8112	+	379.960i	0.0634239	+	0.562903i
$676$	−181.217	−	144.516i	−0.268073	−	0.213781i
$677$	559.076	−	195.629i	0.825814	−	0.288965i	0.115907	−	0.993260i	$-0.463023\pi$
$677$	559.076	−	195.629i	0.825814	−	0.288965i	0.709907	+	0.704295i	$0.248737\pi$
$678$	−58.2238	+	516.750i	−0.0858758	+	0.762168i
$679$	−11.6166	+	11.6166i	−0.0171084	+	0.0171084i
$680$	173.401	−	138.282i	0.255001	−	0.203357i
$681$	−190.332	+	302.911i	−0.279488	+	0.444803i
$682$	−287.210	−	180.466i	−0.421130	−	0.264613i
$683$	217.747	+	273.046i	0.318809	+	0.399774i	0.915252	−	0.402881i	$-0.131991\pi$
$683$	217.747	+	273.046i	0.318809	+	0.399774i	−0.596443	+	0.802656i	$0.703420\pi$
$684$	130.416	+	130.416i	0.190667	+	0.190667i
$685$	−150.719	−	16.9819i	−0.220027	−	0.0247911i
$686$	14.0043	+	40.0221i	0.0204145	+	0.0583413i
$687$	−449.747	+	563.965i	−0.654653	+	0.820909i
$688$	437.520	−	49.2967i	0.635930	−	0.0716521i
$689$	14.0907	+	29.2597i	0.0204510	+	0.0424670i
$690$	72.6408	+	318.260i	0.105277	+	0.461247i
$691$	181.564	−	795.482i	0.262755	−	1.15120i	−0.655494	−	0.755200i	$-0.727540\pi$
$691$	181.564	−	795.482i	0.262755	−	1.15120i	0.918249	−	0.396004i	$-0.129603\pi$
$692$	51.4288	+	24.7668i	0.0743191	+	0.0357902i
$693$	5.18690	−	14.8233i	0.00748471	−	0.0213901i
$694$	−318.669	−	507.159i	−0.459178	−	0.730777i
$695$			209.269i			0.301106i
$696$	565.991	+	82.1272i	0.813205	+	0.117999i
$697$	−482.054			−0.691613
$698$	629.276	−	395.400i	0.901541	−	0.566476i
$699$	905.799	+	316.953i	1.29585	+	0.453437i
$700$	−2.69781	+	5.60206i	−0.00385402	+	0.00800295i
$701$	−924.382	−	210.984i	−1.31866	−	0.300976i	−0.495414	−	0.868657i	$-0.664984\pi$
$701$	−924.382	−	210.984i	−1.31866	−	0.300976i	−0.823249	+	0.567681i	$0.807841\pi$
$702$	−239.301	+	54.6189i	−0.340885	+	0.0778047i
$703$	−712.409	+	343.078i	−1.01338	+	0.488020i
$704$	103.681	+	920.193i	0.147274	+	1.30709i
$705$	106.827	+	85.1920i	0.151528	+	0.120840i
$706$	−145.646	+	50.9638i	−0.206298	+	0.0721867i
$707$	2.57905	−	22.8897i	0.00364788	−	0.0323758i
$708$	116.261	−	116.261i	0.164210	−	0.164210i
$709$	−268.833	+	214.387i	−0.379172	+	0.302380i	−0.794467	−	0.607307i	$-0.792250\pi$
$709$	−268.833	+	214.387i	−0.379172	+	0.302380i	0.415295	+	0.909687i	$0.363678\pi$
$710$	−161.857	+	257.593i	−0.227967	+	0.362808i
$711$	−314.384	−	197.541i	−0.442172	−	0.277835i
$712$	−469.261	−	588.435i	−0.659075	−	0.826454i
$713$	294.397	+	294.397i	0.412898	+	0.412898i
$714$	7.28535	+	0.820862i	0.0102036	+	0.00114967i
$715$	91.2808	+	260.865i	0.127665	+	0.364847i
$716$	75.9664	−	95.2589i	0.106098	−	0.133043i
$717$	−470.895	+	53.0571i	−0.656757	+	0.0739987i
$718$	23.4227	+	48.6377i	0.0326221	+	0.0677405i
$719$	−258.798	−	1133.87i	−0.359942	−	1.57701i	−0.753334	−	0.657639i	$-0.771555\pi$
$719$	−258.798	−	1133.87i	−0.359942	−	1.57701i	0.393391	−	0.919371i	$-0.371302\pi$
$720$	19.0379	−	83.4107i	0.0264416	−	0.115848i
$721$	−48.2311	−	23.2269i	−0.0668947	−	0.0322148i
$722$	241.079	−	688.965i	0.333905	−	0.954246i
$723$	16.7610	+	26.6750i	0.0231826	+	0.0368949i
$724$			210.665i			0.290973i
$725$	136.861	−	354.437i	0.188773	−	0.488878i
$726$	313.831			0.432275
$727$	606.627	−	381.169i	0.834425	−	0.524304i	−0.0457500	−	0.998953i	$-0.514568\pi$
$727$	606.627	−	381.169i	0.834425	−	0.524304i	0.880175	+	0.474649i	$0.157425\pi$
$728$	−12.7797	−	4.47180i	−0.0175545	−	0.00614259i
$729$	−312.968	+	649.884i	−0.429311	+	0.891474i
$730$	254.750	+	58.1451i	0.348973	+	0.0796508i
$731$	489.499	−	111.725i	0.669629	−	0.152838i
$732$	−381.421	+	183.683i	−0.521067	+	0.250933i
$733$	−5.44223	−	48.3011i	−0.00742460	−	0.0658951i	0.989454	−	0.144850i	$-0.0462701\pi$
$733$	−5.44223	−	48.3011i	−0.00742460	−	0.0658951i	−0.996878	+	0.0789554i	$0.974842\pi$
$734$	274.900	+	219.226i	0.374524	+	0.298673i
$735$	−362.959	+	127.005i	−0.493822	+	0.172796i
$736$	75.2034	−	667.449i	0.102179	−	0.906860i
$737$	−886.392	+	886.392i	−1.20270	+	1.20270i
$738$	−294.643	+	234.970i	−0.399245	+	0.318387i
$739$	266.443	−	424.041i	0.360545	−	0.573804i	−0.616364	−	0.787462i	$-0.711395\pi$
$739$	266.443	−	424.041i	0.360545	−	0.573804i	0.976909	+	0.213658i	$0.0685378\pi$
$740$	−133.291	−	83.7524i	−0.180123	−	0.113179i
$741$	−226.918	−	284.546i	−0.306232	−	0.384002i
$742$	−1.80393	−	1.80393i	−0.00243117	−	0.00243117i
$743$	−353.124	−	39.7875i	−0.475267	−	0.0535498i	−0.128918	−	0.991655i	$-0.541150\pi$
$743$	−353.124	−	39.7875i	−0.475267	−	0.0535498i	−0.346350	+	0.938106i	$0.612579\pi$
$744$	99.6295	+	284.725i	0.133911	+	0.382694i
$745$	−211.208	+	264.846i	−0.283500	+	0.355498i
$746$	−678.050	+	76.3979i	−0.908914	+	0.102410i
$747$	1.75411	+	3.64244i	0.00234820	+	0.00487609i
$748$	40.1818	+	176.048i	0.0537190	+	0.235358i
$749$	−1.74823	+	7.65949i	−0.00233408	+	0.0102263i
$750$	411.704	+	198.266i	0.548938	+	0.264355i
$751$	−225.087	+	643.260i	−0.299716	+	0.856539i	0.691273	+	0.722594i	$0.257050\pi$
$751$	−225.087	+	643.260i	−0.299716	+	0.856539i	−0.990989	+	0.133945i	$0.957235\pi$
$752$	60.2523	+	95.8910i	0.0801228	+	0.127515i
$753$		−	143.734i		−	0.190882i
$754$	235.934	+	61.8290i	0.312909	+	0.0820013i
$755$	8.08599			0.0107099
$756$	−11.7278	+	7.36908i	−0.0155130	+	0.00974746i
$757$	−546.623	−	191.272i	−0.722091	−	0.252671i	−0.0558840	−	0.998437i	$-0.517798\pi$
$757$	−546.623	−	191.272i	−0.722091	−	0.252671i	−0.666207	+	0.745767i	$0.732083\pi$

Introduction	Features
Universe	News

Level:	\( N \)	=	\( 29 \)
Weight:	\( k \)	=	\( 3 \)
Character orbit:	\([\chi]\)	=	29.f (of order \(28\) and degree \(12\))

\(f(q)\)	\(=\)	\(q\)\(+(-1.29187 + 0.811733i) q^{2}\) \(+(2.15095 + 0.752648i) q^{3}\) \(+(-0.725528 + 1.50658i) q^{4}\) \(+(3.36294 + 0.767569i) q^{5}\) \(+(-3.38968 + 0.773673i) q^{6}\) \(+(-0.255710 + 0.123143i) q^{7}\) \(+(-0.968958 - 8.59974i) q^{8}\) \(+(-2.97640 - 2.37360i) q^{9}\) \(+O(q^{10})\)	\(q\)\(+(-1.29187 + 0.811733i) q^{2}\) \(+(2.15095 + 0.752648i) q^{3}\) \(+(-0.725528 + 1.50658i) q^{4}\) \(+(3.36294 + 0.767569i) q^{5}\) \(+(-3.38968 + 0.773673i) q^{6}\) \(+(-0.255710 + 0.123143i) q^{7}\) \(+(-0.968958 - 8.59974i) q^{8}\) \(+(-2.97640 - 2.37360i) q^{9}\) \(+(-4.96753 + 1.73821i) q^{10}\) \(+(1.62739 - 14.4435i) q^{11}\) \(+(-2.69449 + 2.69449i) q^{12}\) \(+(-4.30976 + 3.43692i) q^{13}\) \(+(0.230383 - 0.366653i) q^{14}\) \(+(6.65579 + 4.18211i) q^{15}\) \(+(4.06213 + 5.09375i) q^{16}\) \(+(5.25353 + 5.25353i) q^{17}\) \(+(5.77183 + 0.650330i) q^{18}\) \(+(9.56906 + 27.3468i) q^{19}\) \(+(-3.59631 + 4.50963i) q^{20}\) \(+(-0.642701 + 0.0724150i) q^{21}\) \(+(9.62189 + 19.9801i) q^{22}\) \(+(-6.05686 - 26.5368i) q^{23}\) \(+(4.38841 - 19.2269i) q^{24}\) \(+(-11.8040 - 5.68451i) q^{25}\) \(+(2.77777 - 7.93841i) q^{26}\) \(+(-15.5273 - 24.7115i) q^{27}\) \(-0.474590i q^{28}\) \(+(2.32625 + 28.9065i) q^{29}\) \(-11.9931 q^{30}\) \(+(-12.9513 + 8.13783i) q^{31}\) \(+(23.2916 + 8.15007i) q^{32}\) \(+(14.3713 - 29.8423i) q^{33}\) \(+(-11.0513 - 2.52239i) q^{34}\) \(+(-0.954457 + 0.217849i) q^{35}\) \(+(5.73547 - 2.76205i) q^{36}\) \(+(3.05571 + 27.1202i) q^{37}\) \(+(-34.5602 - 27.5609i) q^{38}\) \(+(-11.8568 + 4.14889i) q^{39}\) \(+(3.34235 - 29.6642i) q^{40}\) \(+(-45.8791 + 45.8791i) q^{41}\) \(+(0.771502 - 0.615252i) q^{42}\) \(+(35.9543 - 57.2209i) q^{43}\) \(+(20.5795 + 12.9310i) q^{44}\) \(+(-8.18755 - 10.2669i) q^{45}\) \(+(29.3655 + 29.3655i) q^{46}\) \(+(17.2732 + 1.94622i) q^{47}\) \(+(4.90362 + 14.0137i) q^{48}\) \(+(-30.5008 + 38.2468i) q^{49}\) \(+(19.8635 - 2.23808i) q^{50}\) \(+(7.34599 + 15.2541i) q^{51}\) \(+(-2.05112 - 8.98655i) q^{52}\) \(+(1.31097 - 5.74372i) q^{53}\) \(+(40.1183 + 19.3199i) q^{54}\) \(+(16.5592 - 47.3235i) q^{55}\) \(+(1.30677 + 2.07972i) q^{56}\) \(+66.0236i q^{57}\) \(+(-26.4696 - 35.4551i) q^{58}\) \(-43.1476 q^{59}\) \(+(-11.1296 + 6.99321i) q^{60}\) \(+(104.863 + 36.6931i) q^{61}\) \(+(10.1256 - 21.0260i) q^{62}\) \(+(1.05339 + 0.240429i) q^{63}\) \(+(-62.1125 + 14.1768i) q^{64}\) \(+(-17.1315 + 8.25011i) q^{65}\) \(+(5.65820 + 50.2179i) q^{66}\) \(+(-67.4283 - 53.7723i) q^{67}\) \(+(-11.7264 + 4.10325i) q^{68}\) \(+(6.94493 - 61.6380i) q^{69}\) \(+(1.05620 - 1.05620i) q^{70}\) \(+(45.1943 - 36.0413i) q^{71}\) \(+(-17.5283 + 27.8962i) q^{72}\) \(+(-42.0399 - 26.4154i) q^{73}\) \(+(-25.9619 - 32.5552i) q^{74}\) \(+(-21.1113 - 21.1113i) q^{75}\) \(+(-48.1426 - 5.42437i) q^{76}\) \(+(1.36248 + 3.89374i) q^{77}\) \(+(11.9497 - 14.9844i) q^{78}\) \(+(96.9173 - 10.9200i) q^{79}\) \(+(9.75090 + 20.2479i) q^{80}\) \(+(-7.17507 - 31.4360i) q^{81}\) \(+(22.0280 - 96.5112i) q^{82}\) \(+(-0.956785 - 0.460763i) q^{83}\) \(+(0.357199 - 1.02082i) q^{84}\) \(+(13.6349 + 21.6998i) q^{85}\) \(+103.107i q^{86}\) \(+(-16.7528 + 63.9272i) q^{87}\) \(-125.787 q^{88}\) \(+(73.6381 - 46.2699i) q^{89}\) \(+(18.9112 + 6.61730i) q^{90}\) \(+(0.678813 - 1.40957i) q^{91}\) \(+(44.3742 + 10.1281i) q^{92}\) \(+(-33.9824 + 7.75627i) q^{93}\) \(+(-23.8944 + 11.5070i) q^{94}\) \(+(11.1896 + 99.3106i) q^{95}\) \(+(43.9648 + 35.0607i) q^{96}\) \(+(54.6355 - 19.1178i) q^{97}\) \(+(8.35675 - 74.1682i) q^{98}\) \(+(-39.1268 + 39.1268i) q^{99}\) \(+O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\(48q \) \(\mathstrut -\mathstrut 16q^{2} \) \(\mathstrut -\mathstrut 12q^{3} \) \(\mathstrut -\mathstrut 14q^{4} \) \(\mathstrut -\mathstrut 14q^{5} \) \(\mathstrut -\mathstrut 14q^{6} \) \(\mathstrut -\mathstrut 10q^{7} \) \(\mathstrut +\mathstrut 28q^{8} \) \(\mathstrut -\mathstrut 14q^{9} \) \(\mathstrut +\mathstrut O(q^{10}) \)	\(48q \) \(\mathstrut -\mathstrut 16q^{2} \) \(\mathstrut -\mathstrut 12q^{3} \) \(\mathstrut -\mathstrut 14q^{4} \) \(\mathstrut -\mathstrut 14q^{5} \) \(\mathstrut -\mathstrut 14q^{6} \) \(\mathstrut -\mathstrut 10q^{7} \) \(\mathstrut +\mathstrut 28q^{8} \) \(\mathstrut -\mathstrut 14q^{9} \) \(\mathstrut -\mathstrut 20q^{10} \) \(\mathstrut -\mathstrut 8q^{11} \) \(\mathstrut -\mathstrut 68q^{12} \) \(\mathstrut -\mathstrut 14q^{13} \) \(\mathstrut +\mathstrut 26q^{14} \) \(\mathstrut -\mathstrut 4q^{15} \) \(\mathstrut +\mathstrut 18q^{16} \) \(\mathstrut -\mathstrut 26q^{17} \) \(\mathstrut -\mathstrut 34q^{18} \) \(\mathstrut +\mathstrut 2q^{19} \) \(\mathstrut +\mathstrut 46q^{20} \) \(\mathstrut +\mathstrut 218q^{21} \) \(\mathstrut +\mathstrut 154q^{22} \) \(\mathstrut +\mathstrut 56q^{23} \) \(\mathstrut +\mathstrut 154q^{24} \) \(\mathstrut -\mathstrut 34q^{25} \) \(\mathstrut +\mathstrut 110q^{26} \) \(\mathstrut +\mathstrut 126q^{27} \) \(\mathstrut -\mathstrut 170q^{29} \) \(\mathstrut +\mathstrut 24q^{30} \) \(\mathstrut -\mathstrut 88q^{31} \) \(\mathstrut -\mathstrut 132q^{32} \) \(\mathstrut -\mathstrut 224q^{33} \) \(\mathstrut -\mathstrut 224q^{34} \) \(\mathstrut -\mathstrut 210q^{35} \) \(\mathstrut -\mathstrut 434q^{36} \) \(\mathstrut -\mathstrut 56q^{37} \) \(\mathstrut -\mathstrut 294q^{38} \) \(\mathstrut -\mathstrut 232q^{39} \) \(\mathstrut -\mathstrut 492q^{40} \) \(\mathstrut -\mathstrut 34q^{41} \) \(\mathstrut -\mathstrut 14q^{42} \) \(\mathstrut +\mathstrut 176q^{43} \) \(\mathstrut +\mathstrut 126q^{44} \) \(\mathstrut +\mathstrut 114q^{45} \) \(\mathstrut +\mathstrut 744q^{46} \) \(\mathstrut +\mathstrut 208q^{47} \) \(\mathstrut +\mathstrut 640q^{48} \) \(\mathstrut +\mathstrut 506q^{49} \) \(\mathstrut +\mathstrut 732q^{50} \) \(\mathstrut +\mathstrut 322q^{51} \) \(\mathstrut +\mathstrut 690q^{52} \) \(\mathstrut -\mathstrut 14q^{53} \) \(\mathstrut -\mathstrut 36q^{54} \) \(\mathstrut +\mathstrut 284q^{55} \) \(\mathstrut +\mathstrut 332q^{56} \) \(\mathstrut -\mathstrut 508q^{58} \) \(\mathstrut -\mathstrut 44q^{59} \) \(\mathstrut -\mathstrut 316q^{60} \) \(\mathstrut -\mathstrut 30q^{61} \) \(\mathstrut -\mathstrut 504q^{62} \) \(\mathstrut -\mathstrut 686q^{63} \) \(\mathstrut -\mathstrut 896q^{64} \) \(\mathstrut -\mathstrut 554q^{65} \) \(\mathstrut -\mathstrut 608q^{66} \) \(\mathstrut -\mathstrut 574q^{67} \) \(\mathstrut -\mathstrut 796q^{68} \) \(\mathstrut -\mathstrut 806q^{69} \) \(\mathstrut -\mathstrut 1066q^{70} \) \(\mathstrut +\mathstrut 224q^{71} \) \(\mathstrut +\mathstrut 748q^{72} \) \(\mathstrut -\mathstrut 22q^{73} \) \(\mathstrut +\mathstrut 820q^{74} \) \(\mathstrut +\mathstrut 768q^{75} \) \(\mathstrut +\mathstrut 514q^{76} \) \(\mathstrut +\mathstrut 436q^{77} \) \(\mathstrut +\mathstrut 282q^{78} \) \(\mathstrut +\mathstrut 564q^{79} \) \(\mathstrut +\mathstrut 1162q^{80} \) \(\mathstrut +\mathstrut 670q^{81} \) \(\mathstrut -\mathstrut 18q^{82} \) \(\mathstrut -\mathstrut 126q^{83} \) \(\mathstrut +\mathstrut 572q^{84} \) \(\mathstrut +\mathstrut 38q^{85} \) \(\mathstrut -\mathstrut 118q^{87} \) \(\mathstrut -\mathstrut 384q^{88} \) \(\mathstrut -\mathstrut 160q^{89} \) \(\mathstrut -\mathstrut 828q^{90} \) \(\mathstrut -\mathstrut 434q^{91} \) \(\mathstrut -\mathstrut 1022q^{92} \) \(\mathstrut -\mathstrut 406q^{93} \) \(\mathstrut -\mathstrut 2q^{94} \) \(\mathstrut -\mathstrut 642q^{95} \) \(\mathstrut -\mathstrut 1176q^{96} \) \(\mathstrut +\mathstrut 604q^{97} \) \(\mathstrut -\mathstrut 102q^{98} \) \(\mathstrut +\mathstrut 316q^{99} \) \(\mathstrut +\mathstrut O(q^{100}) \)

\(n\)	\(2\)
\(\chi(n)\)	\(e\left(\frac{23}{28}\right)\)

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