LMFDB - Embedded newform 197.4.d.a.36.16

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [197,4,Mod(36,197)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(197, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([12]))

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

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

chi := DirichletCharacter("197.36");

S:= CuspForms(chi, 4);

N := Newforms(S);

Level:	$ N $	$=$	$ 197 $
Weight:	$ k $	$=$	$ 4 $
Character orbit:	$[\chi]$	$=$	197.d (of order $7$, degree $6$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$11.6233762711$
Analytic rank:	$0$
Dimension:	$294$
Relative dimension:	$49$ over $\Q(\zeta_{7})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			36.16
Character	$\chi$	$=$	197.36
Dual form			197.4.d.a.104.16

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-2.08511 + 1.00413i) q^{2} +(-6.32083 - 3.04395i) q^{3} +(-1.64854 + 2.06720i) q^{4} +(11.8661 + 14.8797i) q^{5} +16.2361 q^{6} +(6.37684 + 3.07092i) q^{7} +(5.48146 - 24.0158i) q^{8} +(13.8531 + 17.3712i) q^{9} +(-39.6833 - 19.1105i) q^{10} +(10.2843 - 4.95266i) q^{11} +(16.7126 - 8.04835i) q^{12} +(-9.36335 - 41.0235i) q^{13} -16.3800 q^{14} +(-29.7109 - 130.172i) q^{15} +(7.97886 + 34.9577i) q^{16} +(43.9141 + 55.0665i) q^{17} +(-46.3281 - 22.3104i) q^{18} +158.406 q^{19} -50.3210 q^{20} +(-30.9592 - 38.8216i) q^{21} +(-16.4707 + 20.6536i) q^{22} +(-141.275 + 68.0345i) q^{23} +(-107.750 + 135.115i) q^{24} +(-52.7841 + 231.262i) q^{25} +(60.7167 + 76.1364i) q^{26} +(7.46435 + 32.7035i) q^{27} +(-16.8606 + 8.11966i) q^{28} +(-75.3785 + 36.3004i) q^{29} +(192.660 + 241.588i) q^{30} +(126.126 - 60.7389i) q^{31} +(71.1307 + 89.1950i) q^{32} -80.0810 q^{33} +(-146.860 - 70.7239i) q^{34} +(29.9741 + 131.325i) q^{35} -58.7469 q^{36} +(-27.9197 + 122.324i) q^{37} +(-330.293 + 159.061i) q^{38} +(-65.6895 + 287.805i) q^{39} +(422.391 - 203.413i) q^{40} +(159.461 + 199.957i) q^{41} +(103.535 + 49.8600i) q^{42} +(-269.672 + 129.867i) q^{43} +(-6.71591 + 29.4243i) q^{44} +(-94.0951 + 412.258i) q^{45} +(226.258 - 283.718i) q^{46} +(101.367 - 444.119i) q^{47} +(55.9764 - 245.249i) q^{48} +(-182.624 - 229.003i) q^{49} +(-122.158 - 535.209i) q^{50} +(-109.954 - 481.738i) q^{51} +(100.240 + 48.2728i) q^{52} +(-432.071 + 541.800i) q^{53} +(-48.4027 - 60.6950i) q^{54} +(195.729 + 94.2580i) q^{55} +(108.705 - 136.312i) q^{56} +(-1001.26 - 482.180i) q^{57} +(120.722 - 151.380i) q^{58} +(71.4194 - 34.3938i) q^{59} +(318.070 + 153.175i) q^{60} +(-496.828 + 239.260i) q^{61} +(-201.995 + 253.294i) q^{62} +(34.9931 + 153.315i) q^{63} +(-496.325 - 239.017i) q^{64} +(499.310 - 626.114i) q^{65} +(166.977 - 80.4121i) q^{66} +(-28.9381 + 126.786i) q^{67} -186.227 q^{68} +1100.07 q^{69} +(-194.367 - 243.729i) q^{70} +(626.094 + 785.097i) q^{71} +(493.118 - 237.473i) q^{72} +(-174.386 + 764.035i) q^{73} +(-64.6145 - 283.094i) q^{74} +(1037.59 - 1301.10i) q^{75} +(-261.138 + 327.456i) q^{76} +80.7905 q^{77} +(-152.025 - 666.064i) q^{78} +(-62.4808 + 78.3485i) q^{79} +(-425.480 + 533.535i) q^{80} +(185.858 - 814.295i) q^{81} +(-533.277 - 256.813i) q^{82} +348.206 q^{83} +131.289 q^{84} +(-298.281 + 1306.85i) q^{85} +(431.890 - 541.573i) q^{86} +586.951 q^{87} +(-62.5693 - 274.134i) q^{88} +(351.651 + 169.346i) q^{89} +(-217.764 - 954.085i) q^{90} +(66.2715 - 290.355i) q^{91} +(92.2562 - 404.201i) q^{92} -982.105 q^{93} +(234.594 + 1027.82i) q^{94} +(1879.67 + 2357.03i) q^{95} +(-178.100 - 780.305i) q^{96} +(-26.8013 - 33.6078i) q^{97} +(610.739 + 294.116i) q^{98} +(228.503 + 110.041i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 294 q - 5 q^{2} - 5 q^{3} - 161 q^{4} - 5 q^{5} + 58 q^{6} + 15 q^{7} + 115 q^{8} - 446 q^{9} - 211 q^{10} + 93 q^{11} - 47 q^{12} + 23 q^{13} + 656 q^{14} + 343 q^{15} - 1505 q^{16} - 17 q^{17} + 132 q^{18}+ \cdots + 4526 q^{99}+O(q^{100}) $ 294 * q - 5 * q^2 - 5 * q^3 - 161 * q^4 - 5 * q^5 + 58 * q^6 + 15 * q^7 + 115 * q^8 - 446 * q^9 - 211 * q^10 + 93 * q^11 - 47 * q^12 + 23 * q^13 + 656 * q^14 + 343 * q^15 - 1505 * q^16 - 17 * q^17 + 132 * q^18 + 512 * q^19 + 148 * q^20 - 47 * q^21 - 845 * q^22 - 143 * q^23 + 775 * q^24 - 952 * q^25 + 39 * q^26 + 1159 * q^27 - 130 * q^28 - 169 * q^29 + 1048 * q^30 - 269 * q^31 - 39 * q^32 + 234 * q^33 + 761 * q^34 + 949 * q^35 + 15930 * q^36 + 715 * q^37 - 987 * q^38 - 417 * q^39 - 3303 * q^40 + 65 * q^41 - 2334 * q^42 + 581 * q^43 - 1751 * q^44 - 2497 * q^45 + 13 * q^46 - 361 * q^47 - 3995 * q^48 - 3728 * q^49 + 3671 * q^50 + 213 * q^51 + 4036 * q^52 - 47 * q^53 + 1358 * q^54 - 4339 * q^55 + 680 * q^56 - 2470 * q^57 + 1483 * q^58 - 3375 * q^59 + 1549 * q^60 + 805 * q^61 - 1149 * q^62 - 4839 * q^63 - 7061 * q^64 + 457 * q^65 + 1224 * q^66 + 2261 * q^67 + 1216 * q^68 - 4378 * q^69 + 1360 * q^70 - 1687 * q^71 + 936 * q^72 + 3075 * q^73 - 601 * q^74 + 3549 * q^75 - 5960 * q^76 - 4318 * q^77 - 11681 * q^78 + 2973 * q^79 - 1671 * q^80 - 4288 * q^81 + 2197 * q^82 + 9380 * q^83 - 7416 * q^84 - 5171 * q^85 - 3868 * q^86 + 1826 * q^87 - 3252 * q^88 - 79 * q^89 + 19791 * q^90 + 8303 * q^91 + 8077 * q^92 + 2118 * q^93 + 6319 * q^94 - 3280 * q^95 - 13752 * q^96 - 17 * q^97 - 4434 * q^98 + 4526 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/197\mathbb{Z}\right)^\times$.

$n$	$2$
$\chi(n)$	$e\left(\frac{6}{7}\right)$

Coefficient data

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

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

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

$2$	−2.08511	+	1.00413i	−0.737196	+	0.355015i	−0.764510	−	0.644612i	$-0.777019\pi$
$2$	−2.08511	+	1.00413i	−0.737196	+	0.355015i	0.0273136	+	0.999627i	$0.491305\pi$
$3$	−6.32083	−	3.04395i	−1.21644	−	0.585809i	−0.288126	−	0.957593i	$-0.593032\pi$
$3$	−6.32083	−	3.04395i	−1.21644	−	0.585809i	−0.928319	+	0.371784i	$0.878746\pi$
$4$	−1.64854	+	2.06720i	−0.206067	+	0.258400i
$5$	11.8661	+	14.8797i	1.06134	+	1.33088i	0.941098	+	0.338133i	$0.109795\pi$
$5$	11.8661	+	14.8797i	1.06134	+	1.33088i	0.120241	+	0.992745i	$0.461633\pi$
$6$	16.2361			1.10473
$7$	6.37684	+	3.07092i	0.344317	+	0.165814i	0.598048	−	0.801461i	$-0.295943\pi$
$7$	6.37684	+	3.07092i	0.344317	+	0.165814i	−0.253731	+	0.967275i	$0.581658\pi$
$8$	5.48146	−	24.0158i	0.242248	−	1.06136i
$9$	13.8531	+	17.3712i	0.513076	+	0.643377i
$10$	−39.6833	−	19.1105i	−1.25490	−	0.604327i
$11$	10.2843	−	4.95266i	0.281894	−	0.135753i	−0.287595	−	0.957752i	$-0.592856\pi$
$11$	10.2843	−	4.95266i	0.281894	−	0.135753i	0.569489	+	0.821999i	$0.307141\pi$
$12$	16.7126	−	8.04835i	0.402042	−	0.193613i
$13$	−9.36335	−	41.0235i	−0.199764	−	0.875222i	−0.971077	−	0.238766i	$-0.923257\pi$
$13$	−9.36335	−	41.0235i	−0.199764	−	0.875222i	0.771313	−	0.636455i	$-0.219600\pi$
$14$	−16.3800			−0.312696
$15$	−29.7109	−	130.172i	−0.511421	−	2.24068i
$16$	7.97886	+	34.9577i	0.124670	+	0.546213i
$17$	43.9141	+	55.0665i	0.626513	+	0.785623i	0.989245	−	0.146271i	$-0.0467271\pi$
$17$	43.9141	+	55.0665i	0.626513	+	0.785623i	−0.362731	+	0.931894i	$0.618156\pi$
$18$	−46.3281	−	22.3104i	−0.606647	−	0.292146i
$19$	158.406			1.91267			0.956337	−	0.292267i	$-0.0944096\pi$
$19$	158.406			1.91267			0.956337	+	0.292267i	$0.0944096\pi$
$20$	−50.3210			−0.562605
$21$	−30.9592	−	38.8216i	−0.321707	−	0.403408i
$22$	−16.4707	+	20.6536i	−0.159617	+	0.200153i
$23$	−141.275	+	68.0345i	−1.28078	+	0.616790i	−0.945590	−	0.325361i	$-0.894514\pi$
$23$	−141.275	+	68.0345i	−1.28078	+	0.616790i	−0.335188	+	0.942151i	$0.608800\pi$
$24$	−107.750	+	135.115i	−0.916436	+	1.14917i
$25$	−52.7841	+	231.262i	−0.422273	+	1.85010i
$26$	60.7167	+	76.1364i	0.457982	+	0.574291i
$27$	7.46435	+	32.7035i	0.0532043	+	0.233103i
$28$	−16.8606	+	8.11966i	−0.113799	+	0.0548026i
$29$	−75.3785	+	36.3004i	−0.482670	+	0.232442i	−0.659363	−	0.751824i	$-0.729174\pi$
$29$	−75.3785	+	36.3004i	−0.482670	+	0.232442i	0.176694	+	0.984266i	$0.443460\pi$
$30$	192.660	+	241.588i	1.17249	+	1.47026i
$31$	126.126	−	60.7389i	0.730736	−	0.351904i	−0.0312374	−	0.999512i	$-0.509945\pi$
$31$	126.126	−	60.7389i	0.730736	−	0.351904i	0.761974	+	0.647608i	$0.224231\pi$
$32$	71.1307	+	89.1950i	0.392945	+	0.492738i
$33$	−80.0810			−0.422434
$34$	−146.860	−	70.7239i	−0.740771	−	0.356737i
$35$	29.9741	+	131.325i	0.144759	+	0.634229i
$36$	−58.7469			−0.271977
$37$	−27.9197	+	122.324i	−0.124053	+	0.543513i	0.874260	+	0.485458i	$0.161347\pi$
$37$	−27.9197	+	122.324i	−0.124053	+	0.543513i	−0.998313	+	0.0580554i	$0.981510\pi$
$38$	−330.293	+	159.061i	−1.41002	+	0.679028i
$39$	−65.6895	+	287.805i	−0.269711	+	1.18168i
$40$	422.391	−	203.413i	1.66965	−	0.804060i
$41$	159.461	+	199.957i	0.607405	+	0.761661i	0.986512	−	0.163692i	$-0.0523402\pi$
$41$	159.461	+	199.957i	0.607405	+	0.761661i	−0.379107	+	0.925353i	$0.623769\pi$
$42$	103.535	+	49.8600i	0.380377	+	0.183180i
$43$	−269.672	+	129.867i	−0.956385	+	0.460571i	−0.845920	−	0.533310i	$-0.820948\pi$
$43$	−269.672	+	129.867i	−0.956385	+	0.460571i	−0.110464	+	0.993880i	$0.535234\pi$
$44$	−6.71591	+	29.4243i	−0.0230105	+	0.100816i
$45$	−94.0951	+	412.258i	−0.311708	+	1.36568i
$46$	226.258	−	283.718i	0.725215	−	0.909391i
$47$	101.367	−	444.119i	0.314594	−	1.37833i	−0.532295	−	0.846559i	$-0.678670\pi$
$47$	101.367	−	444.119i	0.314594	−	1.37833i	0.846889	−	0.531769i	$-0.178473\pi$
$48$	55.9764	−	245.249i	0.168323	−	0.737471i
$49$	−182.624	−	229.003i	−0.532430	−	0.667646i
$50$	−122.158	−	535.209i	−0.345515	−	1.51380i
$51$	−109.954	−	481.738i	−0.301894	−	1.32268i
$52$	100.240	+	48.2728i	0.267322	+	0.128735i
$53$	−432.071	+	541.800i	−1.11980	+	1.40419i	−0.215916	+	0.976412i	$0.569274\pi$
$53$	−432.071	+	541.800i	−1.11980	+	1.40419i	−0.903885	+	0.427775i	$0.859298\pi$
$54$	−48.4027	−	60.6950i	−0.121977	−	0.152955i
$55$	195.729	+	94.2580i	0.479856	+	0.231086i
$56$	108.705	−	136.312i	0.259399	−	0.325276i
$57$	−1001.26	−	482.180i	−2.32666	−	1.12046i
$58$	120.722	−	151.380i	0.273302	−	0.342710i
$59$	71.4194	−	34.3938i	0.157594	−	0.0758930i	−0.353424	−	0.935463i	$-0.614983\pi$
$59$	71.4194	−	34.3938i	0.157594	−	0.0758930i	0.511018	+	0.859570i	$0.329269\pi$
$60$	318.070	+	153.175i	0.684379	+	0.329579i
$61$	−496.828	+	239.260i	−1.04282	+	0.502198i	−0.875254	−	0.483663i	$-0.839306\pi$
$61$	−496.828	+	239.260i	−1.04282	+	0.502198i	−0.167569	+	0.985860i	$0.553592\pi$
$62$	−201.995	+	253.294i	−0.413765	+	0.518845i
$63$	34.9931	+	153.315i	0.0699797	+	0.306601i
$64$	−496.325	−	239.017i	−0.969384	−	0.466831i
$65$	499.310	−	626.114i	0.952796	−	1.19477i
$66$	166.977	−	80.4121i	0.311417	−	0.149970i
$67$	−28.9381	+	126.786i	−0.0527664	+	0.231185i	−0.994434	−	0.105359i	$-0.966401\pi$
$67$	−28.9381	+	126.786i	−0.0527664	+	0.231185i	0.941668	+	0.336544i	$0.109258\pi$
$68$	−186.227			−0.332108
$69$	1100.07			1.91932
$70$	−194.367	−	243.729i	−0.331876	−	0.416160i
$71$	626.094	+	785.097i	1.04653	+	1.31231i	0.948380	+	0.317136i	$0.102721\pi$
$71$	626.094	+	785.097i	1.04653	+	1.31231i	0.0981504	+	0.995172i	$0.468707\pi$
$72$	493.118	−	237.473i	0.807147	−	0.388701i
$73$	−174.386	+	764.035i	−0.279594	+	1.22498i	0.618715	+	0.785615i	$0.287654\pi$
$73$	−174.386	+	764.035i	−0.279594	+	1.22498i	−0.898309	+	0.439365i	$0.855204\pi$
$74$	−64.6145	−	283.094i	−0.101504	−	0.444717i
$75$	1037.59	−	1301.10i	1.59748	−	2.00317i
$76$	−261.138	+	327.456i	−0.394139	+	0.494234i
$77$	80.7905			0.119571
$78$	−152.025	−	666.064i	−0.220685	−	0.966883i
$79$	−62.4808	+	78.3485i	−0.0889828	+	0.111581i	−0.824330	−	0.566110i	$-0.808448\pi$
$79$	−62.4808	+	78.3485i	−0.0889828	+	0.111581i	0.735347	+	0.677691i	$0.237019\pi$
$80$	−425.480	+	533.535i	−0.594626	+	0.745638i
$81$	185.858	−	814.295i	0.254949	−	1.11700i
$82$	−533.277	−	256.813i	−0.718178	−	0.345856i
$83$	348.206			0.460489			0.230244	−	0.973133i	$-0.426047\pi$
$83$	348.206			0.460489			0.230244	+	0.973133i	$0.426047\pi$
$84$	131.289			0.170534
$85$	−298.281	+	1306.85i	−0.380625	+	1.66763i
$86$	431.890	−	541.573i	0.541534	−	0.679062i
$87$	586.951			0.723308
$88$	−62.5693	−	274.134i	−0.0757944	−	0.332077i
$89$	351.651	+	169.346i	0.418820	+	0.201693i	0.631411	−	0.775448i	$-0.282476\pi$
$89$	351.651	+	169.346i	0.418820	+	0.201693i	−0.212591	+	0.977141i	$0.568190\pi$
$90$	−217.764	−	954.085i	−0.255048	−	1.11744i
$91$	66.2715	−	290.355i	0.0763422	−	0.334477i
$92$	92.2562	−	404.201i	0.104548	−	0.458053i
$93$	−982.105			−1.09505
$94$	234.594	+	1027.82i	0.257409	+	1.12778i
$95$	1879.67	+	2357.03i	2.03000	+	2.54553i
$96$	−178.100	−	780.305i	−0.189346	−	0.829579i
$97$	−26.8013	−	33.6078i	−0.0280542	−	0.0351789i	0.767606	−	0.640921i	$-0.221448\pi$
$97$	−26.8013	−	33.6078i	−0.0280542	−	0.0351789i	−0.795661	+	0.605743i	$0.792876\pi$
$98$	610.739	+	294.116i	0.629530	+	0.303166i
$99$	228.503	+	110.041i	0.231973	+	0.111713i
$100$	−391.049	−	490.359i	−0.391049	−	0.490359i
$101$	−10.5900	−	46.3977i	−0.0104331	−	0.0457103i	0.969443	−	0.245315i	$-0.0788914\pi$
$101$	−10.5900	−	46.3977i	−0.0104331	−	0.0457103i	−0.979877	+	0.199605i	$0.936034\pi$
$102$	712.995	+	894.068i	0.692128	+	0.867901i
$103$	−214.237	−	938.633i	−0.204946	−	0.897925i	−0.967873	−	0.251441i	$-0.919096\pi$
$103$	−214.237	−	938.633i	−0.204946	−	0.897925i	0.762927	−	0.646484i	$-0.223761\pi$
$104$	−1036.54			−0.977318
$105$	210.286	−	921.325i	0.195446	−	0.856305i
$106$	356.874	−	1563.57i	0.327006	−	1.43271i
$107$	35.8463	+	157.053i	0.0323869	+	0.141896i	0.988536	−	0.150983i	$-0.0482438\pi$
$107$	35.8463	+	157.053i	0.0323869	+	0.141896i	−0.956150	+	0.292879i	$0.905387\pi$
$108$	−79.9098	−	38.4825i	−0.0711975	−	0.0342869i
$109$	−50.0761	−	219.398i	−0.0440039	−	0.192794i	0.948149	−	0.317827i	$-0.102953\pi$
$109$	−50.0761	−	219.398i	−0.0440039	−	0.192794i	−0.992152	+	0.125034i	$0.960096\pi$
$110$	−502.763			−0.435787
$111$	548.825	−	688.205i	0.469299	−	0.588483i
$112$	−56.4724	+	247.422i	−0.0476441	+	0.208742i
$113$	−636.471			−0.529860			−0.264930	−	0.964268i	$-0.585349\pi$
$113$	−636.471			−0.529860			−0.264930	+	0.964268i	$0.585349\pi$
$114$	2571.90			2.11299
$115$	−2688.72	−	1294.82i	−2.18021	−	1.04993i
$116$	49.2240	−	215.665i	0.0393995	−	0.172620i
$117$	582.916	−	730.954i	0.460604	−	0.577579i
$118$	−114.381	+	143.429i	−0.0892342	+	0.111896i
$119$	110.928	+	486.007i	0.0854516	+	0.374388i
$120$	−3289.04			−2.50206
$121$	−748.627	+	938.748i	−0.562454	+	0.705296i
$122$	795.690	−	997.763i	0.590478	−	0.740436i
$123$	−399.264	−	1749.29i	−0.292686	−	1.28234i
$124$	−82.3632	+	360.857i	−0.0596487	+	0.261338i
$125$	−1924.07	+	926.582i	−1.37675	+	0.663008i
$126$	−226.913	−	284.540i	−0.160437	−	0.201181i
$127$	1344.81	+	1686.34i	0.939627	+	1.17825i	0.983807	+	0.179231i	$0.0573611\pi$
$127$	1344.81	+	1686.34i	0.939627	+	1.17825i	−0.0441800	+	0.999024i	$0.514067\pi$
$128$	362.217			0.250123
$129$	2099.86			1.43320
$130$	−412.411	+	1806.89i	−0.278237	+	1.21904i
$131$	2034.97	−	979.991i	1.35722	−	0.653605i	0.393208	−	0.919450i	$-0.371365\pi$
$131$	2034.97	−	979.991i	1.35722	−	0.653605i	0.964016	+	0.265845i	$0.0856509\pi$
$132$	132.016	−	165.543i	0.0870496	−	0.109157i
$133$	1010.13	+	486.452i	0.658566	+	0.317149i
$134$	−66.9713	−	293.420i	−0.0431749	−	0.189162i
$135$	−398.044	+	499.131i	−0.253764	+	0.318210i
$136$	1563.18	−	752.788i	0.985600	−	0.474640i
$137$	336.313	+	161.960i	0.209731	+	0.101001i	0.535800	−	0.844345i	$-0.320010\pi$
$137$	336.313	+	161.960i	0.209731	+	0.101001i	−0.326069	+	0.945346i	$0.605724\pi$
$138$	−2293.76	+	1104.62i	−1.41491	+	0.681386i
$139$	606.227	−	760.185i	0.369924	−	0.463871i	−0.561675	−	0.827358i	$-0.689843\pi$
$139$	606.227	−	760.185i	0.369924	−	0.463871i	0.931599	+	0.363488i	$0.118414\pi$
$140$	−320.889	−	154.532i	−0.193715	−	0.0932880i
$141$	−1992.60	+	2498.64i	−1.19012	+	1.49237i
$142$	−2093.81	−	1008.33i	−1.23739	−	0.595894i
$143$	−299.471	−	375.525i	−0.175126	−	0.219601i
$144$	−496.724	+	622.873i	−0.287456	+	0.360459i
$145$	−1434.59	−	690.861i	−0.821628	−	0.395675i
$146$	−403.580	−	1768.20i	−0.228771	−	1.00231i
$147$	457.260	+	2003.38i	0.256559	+	1.12406i
$148$	−206.842	−	259.372i	−0.114880	−	0.144056i
$149$	−738.366	+	3234.99i	−0.405969	+	1.77866i	0.196481	+	0.980508i	$0.437049\pi$
$149$	−738.366	+	3234.99i	−0.405969	+	1.77866i	−0.602450	+	0.798157i	$0.705809\pi$
$150$	−857.011	+	3754.81i	−0.466498	+	2.04386i
$151$	−155.587	+	195.100i	−0.0838510	+	0.105146i	−0.821987	−	0.569506i	$-0.807135\pi$
$151$	−155.587	+	195.100i	−0.0838510	+	0.105146i	0.738136	+	0.674652i	$0.235706\pi$
$152$	868.295	−	3804.25i	0.463342	−	2.03004i
$153$	−348.226	+	1525.68i	−0.184003	+	0.806169i
$154$	−168.457	+	81.1246i	−0.0881470	+	0.0424494i
$155$	2400.40	+	1155.97i	1.24390	+	0.599031i
$156$	−486.657	−	610.249i	−0.249768	−	0.313199i
$157$	−615.790	+	296.549i	−0.313028	+	0.150746i	−0.583801	−	0.811897i	$-0.698435\pi$
$157$	−615.790	+	296.549i	−0.313028	+	0.150746i	0.270773	+	0.962643i	$0.412721\pi$
$158$	51.6068	−	226.104i	0.0259849	−	0.113847i
$159$	4380.26	−	2109.42i	2.18476	−	1.05213i
$160$	−483.146	+	2116.80i	−0.238725	+	1.04592i
$161$	−1109.82			−0.543266
$162$	430.129	+	1884.52i	0.208606	+	0.913961i
$163$	−990.492	−	476.996i	−0.475959	−	0.229210i	0.180495	−	0.983576i	$-0.442230\pi$
$163$	−990.492	−	476.996i	−0.475959	−	0.229210i	−0.656454	+	0.754366i	$0.727944\pi$
$164$	−676.228			−0.321979
$165$	−950.252	−	1191.58i	−0.448346	−	0.562208i
$166$	−726.046	+	349.645i	−0.339471	+	0.163480i
$167$	−1198.88	−	1503.35i	−0.555522	−	0.696603i	0.422201	−	0.906502i	$-0.361258\pi$
$167$	−1198.88	−	1503.35i	−0.555522	−	0.696603i	−0.977723	+	0.209900i	$0.932686\pi$
$168$	−1102.03	+	530.712i	−0.506094	+	0.243722i
$169$	384.171	−	185.007i	0.174862	−	0.0842089i
$170$	−690.309	−	3024.44i	−0.311437	−	1.36449i
$171$	2194.41	+	2751.70i	0.981347	+	1.23057i
$172$	176.102	−	771.555i	0.0780679	−	0.342038i
$173$	1530.93	−	1919.72i	0.672799	−	0.843663i	−0.321870	−	0.946784i	$-0.604311\pi$
$173$	1530.93	−	1919.72i	0.672799	−	0.843663i	0.994669	+	0.103121i	$0.0328829\pi$
$174$	−1223.86	+	589.378i	−0.533220	+	0.256785i
$175$	−1046.78	+	1312.63i	−0.452168	+	0.567001i
$176$	255.190	+	319.999i	0.109294	+	0.137050i
$177$	−556.123			−0.236163
$178$	−903.277			−0.380357
$179$	3359.64	+	1617.92i	1.40286	+	0.675580i	0.973739	−	0.227668i	$-0.0731101\pi$
$179$	3359.64	+	1617.92i	1.40286	+	0.675580i	0.429118	+	0.903248i	$0.358824\pi$
$180$	−697.099	−	874.135i	−0.288660	−	0.361968i
$181$	129.420	+	567.027i	0.0531477	+	0.232855i	0.994525	−	0.104501i	$-0.0333245\pi$
$181$	129.420	+	567.027i	0.0531477	+	0.232855i	−0.941377	+	0.337356i	$0.890467\pi$
$182$	153.372	+	671.966i	0.0624652	+	0.273678i
$183$	3868.66			1.56273
$184$	859.511	+	3765.77i	0.344370	+	1.50878i
$185$	−2151.44	+	1036.08i	−0.855013	+	0.411752i
$186$	2047.79	−	986.165i	0.807266	−	0.388759i
$187$	724.351	+	348.829i	0.283261	+	0.136411i
$188$	750.974	+	941.692i	0.291332	+	0.365319i
$189$	−52.8309	+	231.467i	−0.0203327	+	0.0890834i
$190$	−6286.07	−	3027.21i	−2.40021	−	1.15588i
$191$	3605.92			1.36605			0.683025	−	0.730395i	$-0.260664\pi$
$191$	3605.92			1.36605			0.683025	+	0.730395i	$0.260664\pi$
$192$	2409.63	+	3021.58i	0.905729	+	1.13575i
$193$	−45.3820	+	56.9072i	−0.0169257	+	0.0212242i	−0.790222	−	0.612820i	$-0.790035\pi$
$193$	−45.3820	+	56.9072i	−0.0169257	+	0.0212242i	0.773297	+	0.634044i	$0.218606\pi$
$194$	89.6303	+	43.1637i	0.0331705	+	0.0159741i
$195$	−5061.92	+	2437.69i	−1.85893	+	0.895213i
$196$	774.455			0.282236
$197$	−294.977	−	2749.25i	−0.106681	−	0.994293i
$197$	−294.977	−	2749.25i	−0.106681	−	0.994293i
$198$	−586.948			−0.210670
$199$	−4353.71	+	2096.64i	−1.55089	+	0.746867i	−0.996356	−	0.0852963i	$-0.972816\pi$
$199$	−4353.71	+	2096.64i	−1.55089	+	0.746867i	−0.554530	+	0.832164i	$0.687102\pi$
$200$	5264.62	+	2535.31i	1.86133	+	0.896367i
$201$	568.844	−	713.308i	0.199618	−	0.250313i
$202$	68.6707	+	86.1103i	0.0239191	+	0.0299936i
$203$	−592.152			−0.204734
$204$	1177.11	+	566.867i	0.403992	+	0.194552i
$205$	−1083.12	+	4745.45i	−0.369016	+	1.61676i
$206$	1389.22	+	1742.03i	0.469862	+	0.589188i
$207$	−3138.93	−	1511.63i	−1.05397	−	0.507563i
$208$	1359.38	−	654.642i	0.453153	−	0.218227i
$209$	1629.09	−	784.530i	0.539171	−	0.259651i
$210$	486.664	+	2132.22i	0.159919	+	0.700652i
$211$	−3311.05			−1.08029			−0.540147	−	0.841570i	$-0.681631\pi$
$211$	−3311.05			−1.08029			−0.540147	+	0.841570i	$0.681631\pi$
$212$	−407.723	−	1786.35i	−0.132087	−	0.578713i
$213$	−1567.64	−	6868.27i	−0.504285	−	2.20942i
$214$	−232.446	−	291.478i	−0.0742508	−	0.0931075i
$215$	−5132.34	−	2471.60i	−1.62801	−	0.784009i
$216$	826.317			0.260295
$217$	990.807			0.309956
$218$	324.719	+	407.185i	0.100884	+	0.126505i
$219$	3427.95	−	4298.52i	1.05771	−	1.32633i
$220$	−517.516	+	249.223i	−0.158595	+	0.0763754i
$221$	1847.84	−	2317.12i	0.562439	−	0.705277i
$222$	−453.309	+	1986.08i	−0.137045	+	0.600436i
$223$	−1860.26	−	2332.69i	−0.558619	−	0.700486i	0.419683	−	0.907671i	$-0.362141\pi$
$223$	−1860.26	−	2332.69i	−0.558619	−	0.700486i	−0.978302	+	0.207185i	$0.933570\pi$
$224$	179.678	+	787.219i	0.0535947	+	0.234814i
$225$	−4748.52	+	2286.77i	−1.40697	+	0.677561i
$226$	1327.11	−	639.102i	0.390611	−	0.188108i
$227$	604.135	+	757.561i	0.176642	+	0.221503i	0.862269	−	0.506451i	$-0.169043\pi$
$227$	604.135	+	757.561i	0.176642	+	0.221503i	−0.685626	+	0.727954i	$0.740472\pi$
$228$	2647.37	−	1274.91i	0.768975	−	0.370319i
$229$	1639.89	+	2056.36i	0.473219	+	0.593398i	0.959956	−	0.280150i	$-0.0903843\pi$
$229$	1639.89	+	2056.36i	0.473219	+	0.593398i	−0.486737	+	0.873549i	$0.661813\pi$
$230$	6906.44			1.97999
$231$	−510.664	−	245.923i	−0.145451	−	0.0700455i
$232$	458.599	+	2009.26i	0.129778	+	0.568595i
$233$	−6354.26			−1.78662			−0.893308	−	0.449445i	$-0.851622\pi$
$233$	−6354.26			−1.78662			−0.893308	+	0.449445i	$0.851622\pi$
$234$	−481.467	+	2109.44i	−0.134506	+	0.589310i
$235$	7811.18	−	3761.67i	2.16828	−	1.04419i
$236$	−46.6387	+	204.337i	−0.0128641	+	0.0563612i
$237$	633.420	−	305.039i	0.173608	−	0.0836051i
$238$	−719.313	−	901.989i	−0.195908	−	0.245661i
$239$	−262.723	−	126.521i	−0.0711052	−	0.0342424i	0.397993	−	0.917388i	$-0.369707\pi$
$239$	−262.723	−	126.521i	−0.0711052	−	0.0342424i	−0.469098	+	0.883146i	$0.655421\pi$
$240$	4313.44	−	2077.25i	1.16013	−	0.558690i
$241$	−686.892	+	3009.47i	−0.183596	+	0.804386i	0.796304	+	0.604897i	$0.206786\pi$
$241$	−686.892	+	3009.47i	−0.183596	+	0.804386i	−0.979900	+	0.199490i	$0.936072\pi$
$242$	618.337	−	2709.11i	0.164249	−	0.719621i
$243$	−3088.76	+	3873.18i	−0.815406	+	1.02249i
$244$	324.441	−	1421.47i	0.0851238	−	0.372952i
$245$	1240.45	−	5434.75i	0.323466	−	1.41720i
$246$	2589.03	+	3246.54i	0.671018	+	0.841430i
$247$	−1483.21	−	6498.37i	−0.382083	−	1.67401i
$248$	−767.343	−	3361.95i	−0.196477	−	0.860822i
$249$	−2200.95	−	1059.92i	−0.560159	−	0.269758i
$250$	3081.47	−	3864.04i	0.779558	−	0.977534i
$251$	2643.47	+	3314.80i	0.664757	+	0.833579i	0.993852	−	0.110718i	$-0.0353149\pi$
$251$	2643.47	+	3314.80i	0.664757	+	0.833579i	−0.329095	+	0.944297i	$0.606743\pi$
$252$	−374.620	−	180.407i	−0.0936461	−	0.0450976i
$253$	−1115.96	+	1399.37i	−0.277312	+	0.347739i
$254$	−4497.38	−	2165.83i	−1.11099	−	0.535024i
$255$	5863.38	−	7352.45i	1.43992	−	1.80560i
$256$	3215.34	−	1548.42i	0.784994	−	0.378033i
$257$	6293.88	+	3030.97i	1.52763	+	0.735669i	0.993931	−	0.110005i	$-0.0350865\pi$
$257$	6293.88	+	3030.97i	1.52763	+	0.735669i	0.533701	+	0.845673i	$0.320801\pi$
$258$	−4378.43	+	2108.54i	−1.05655	+	0.508806i
$259$	−553.688	+	694.303i	−0.132836	+	0.166571i
$260$	471.173	+	2064.34i	0.112388	+	0.492404i
$261$	−1674.80	−	806.542i	−0.397194	−	0.191279i
$262$	−3259.09	+	4086.77i	−0.768501	+	0.963670i
$263$	−1369.49	+	659.514i	−0.321090	+	0.154629i	−0.587485	−	0.809235i	$-0.699882\pi$
$263$	−1369.49	+	659.514i	−0.321090	+	0.154629i	0.266395	+	0.963864i	$0.414168\pi$
$264$	−438.961	+	1923.21i	−0.102334	+	0.448354i
$265$	−13188.8			−3.05729
$266$	−2594.69			−0.598085
$267$	−1707.25	−	2140.82i	−0.391318	−	0.490697i
$268$	−214.386	−	268.832i	−0.0488647	−	0.0612744i
$269$	7948.55	−	3827.82i	1.80160	−	0.867607i	0.892458	−	0.451131i	$-0.148979\pi$
$269$	7948.55	−	3827.82i	1.80160	−	0.867607i	0.909147	−	0.416476i	$-0.136735\pi$
$270$	328.769	−	1440.43i	0.0741046	−	0.324673i
$271$	1487.36	+	6516.54i	0.333397	+	1.46071i	0.812506	+	0.582952i	$0.198103\pi$
$271$	1487.36	+	6516.54i	0.333397	+	1.46071i	−0.479109	+	0.877755i	$0.659040\pi$
$272$	−1574.61	+	1974.50i	−0.351011	+	0.440153i
$273$	−1302.72	+	1633.56i	−0.288806	+	0.362151i
$274$	−863.877			−0.190470
$275$	602.516	+	2639.79i	0.132120	+	0.578856i
$276$	−1813.50	+	2274.06i	−0.395508	+	0.495951i
$277$	2746.25	−	3443.69i	0.595690	−	0.746972i	−0.389009	−	0.921234i	$-0.627183\pi$
$277$	2746.25	−	3443.69i	0.595690	−	0.746972i	0.984699	+	0.174262i	$0.0557541\pi$
$278$	−500.720	+	2193.80i	−0.108026	+	0.473293i
$279$	2802.33	+	1349.53i	0.601330	+	0.289585i
$280$	3318.19			0.708213
$281$	56.1805			0.0119269			0.00596343	−	0.999982i	$-0.498102\pi$
$281$	56.1805			0.0119269			0.00596343	+	0.999982i	$0.498102\pi$
$282$	1645.81	−	7210.78i	0.347542	−	1.52268i
$283$	828.731	−	1039.20i	0.174074	−	0.218282i	−0.687139	−	0.726526i	$-0.741134\pi$
$283$	828.731	−	1039.20i	0.174074	−	0.218282i	0.861213	+	0.508244i	$0.169705\pi$
$284$	−2655.09			−0.554755
$285$	−4706.38	−	20620.0i	−0.978181	−	4.28569i
$286$	1001.51	+	482.300i	0.207064	+	0.0997168i
$287$	402.801	+	1764.79i	0.0828453	+	0.362969i
$288$	−564.046	+	2471.25i	−0.115405	+	0.505624i
$289$	−10.6285	+	46.5666i	−0.00216335	+	0.00947824i
$290$	3684.99			0.746172
$291$	67.1061	+	294.011i	0.0135183	+	0.0592276i
$292$	−1291.93	−	1620.03i	−0.258920	−	0.324675i
$293$	842.077	+	3689.38i	0.167900	+	0.735617i	0.986835	+	0.161731i	$0.0517077\pi$
$293$	842.077	+	3689.38i	0.167900	+	0.735617i	−0.818935	+	0.573886i	$0.805435\pi$
$294$	−2965.10	−	3718.12i	−0.588191	−	0.737569i
$295$	1359.24	+	654.576i	0.268265	+	0.129189i
$296$	2784.68	+	1341.03i	0.546812	+	0.263331i
$297$	238.735	+	299.364i	0.0466424	+	0.0584877i
$298$	−1708.80	−	7486.73i	−0.332174	−	1.45535i
$299$	4113.82	+	5158.57i	0.795681	+	0.997752i
$300$	979.122	+	4289.81i	0.188432	+	0.825575i
$301$	−2118.46			−0.405669
$302$	128.509	−	563.035i	0.0244863	−	0.107282i
$303$	−74.2949	+	325.507i	−0.0140862	+	0.0617158i
$304$	1263.90	+	5537.50i	0.238452	+	1.04473i
$305$	−9455.53	−	4553.54i	−1.77515	−	0.854869i
$306$	−805.898	−	3530.87i	−0.150556	−	0.659628i
$307$	−4918.01			−0.914285			−0.457142	−	0.889394i	$-0.651127\pi$
$307$	−4918.01			−0.914285			−0.457142	+	0.889394i	$0.651127\pi$
$308$	−133.186	+	167.010i	−0.0246395	+	0.0308970i
$309$	−1503.00	+	6585.07i	−0.276708	+	1.21234i
$310$	−6165.83			−1.12966
$311$	−8994.65			−1.64000			−0.819999	−	0.572364i	$-0.806026\pi$
$311$	−8994.65			−1.64000			−0.819999	+	0.572364i	$0.806026\pi$
$312$	6551.79	+	3155.18i	1.18885	+	0.572521i
$313$	1608.29	−	7046.38i	0.290434	−	1.27248i	−0.593489	−	0.804842i	$-0.702250\pi$
$313$	1608.29	−	7046.38i	0.290434	−	1.27248i	0.883923	−	0.467633i	$-0.154893\pi$
$314$	986.214	−	1236.67i	0.177246	−	0.222259i
$315$	−1866.04	+	2339.94i	−0.333776	+	0.418542i
$316$	−58.9599	−	258.320i	−0.0104961	−	0.0459863i
$317$	2680.27			0.474886			0.237443	−	0.971401i	$-0.423691\pi$
$317$	2680.27			0.474886			0.237443	+	0.971401i	$0.423691\pi$
$318$	−7015.16	+	8796.74i	−1.23708	+	1.55125i
$319$	−595.432	+	746.648i	−0.104507	+	0.131048i
$320$	−2332.96	−	10221.4i	−0.407551	−	1.78560i
$321$	251.483	−	1101.82i	0.0437272	−	0.191581i
$322$	2314.09	−	1114.40i	0.400494	−	0.192868i
$323$	6956.25	+	8722.86i	1.19832	+	1.50264i
$324$	1376.92	+	1726.60i	0.236097	+	0.296056i
$325$	9981.44			1.70360
$326$	2544.25			0.432248
$327$	−351.314	+	1539.21i	−0.0594119	+	0.260301i
$328$	5676.22	−	2733.52i	0.955540	−	0.460164i
$329$	2010.26	−	2520.78i	0.336867	−	0.422417i
$330$	3177.88	+	1530.39i	0.530111	+	0.255288i
$331$	−1253.73	−	5492.94i	−0.208191	−	0.912143i	−0.965770	−	0.259400i	$-0.916475\pi$
$331$	−1253.73	−	5492.94i	−0.208191	−	0.912143i	0.757579	−	0.652743i	$-0.226382\pi$
$332$	−574.030	+	719.811i	−0.0948915	+	0.118990i
$333$	−2511.69	+	1209.57i	−0.413333	+	0.199051i
$334$	4009.36	+	1930.80i	0.656833	+	0.316314i
$335$	−2229.92	+	1073.87i	−0.363682	+	0.175140i
$336$	1110.09	−	1392.01i	0.180240	−	0.226013i
$337$	−63.3821	−	30.5232i	−0.0102452	−	0.00493384i	0.428754	−	0.903421i	$-0.358953\pi$
$337$	−63.3821	−	30.5232i	−0.0102452	−	0.00493384i	−0.438999	+	0.898487i	$0.644667\pi$
$338$	−615.265	+	771.518i	−0.0990119	+	0.124157i
$339$	4023.03	+	1937.39i	0.644545	+	0.310397i
$340$	−2209.80	−	2771.00i	−0.352480	−	0.441996i
$341$	996.295	−	1249.31i	0.158218	−	0.198399i
$342$	−7338.64	−	3534.10i	−1.16032	−	0.558779i
$343$	−1001.52	−	4387.94i	−0.157659	−	0.690748i
$344$	1640.67	+	7188.25i	0.257148	+	1.12664i
$345$	13053.6	+	16368.7i	2.03705	+	2.55438i
$346$	−1264.49	+	5540.08i	−0.196472	+	0.860799i
$347$	−247.227	+	1083.17i	−0.0382474	+	0.167573i	−0.990445	−	0.137911i	$-0.955961\pi$
$347$	−247.227	+	1083.17i	−0.0382474	+	0.167573i	0.952197	+	0.305484i	$0.0988183\pi$
$348$	−967.610	+	1213.34i	−0.149050	+	0.186903i
$349$	1490.18	−	6528.92i	0.228561	−	1.00139i	−0.722253	−	0.691629i	$-0.756894\pi$
$349$	1490.18	−	6528.92i	0.228561	−	1.00139i	0.950814	−	0.309762i	$-0.100249\pi$
$350$	864.604	−	3788.08i	0.132043	−	0.578518i
$351$	1271.72	−	612.428i	0.193389	−	0.0931311i
$352$	1173.28	+	565.023i	0.177659	+	0.0855563i
$353$	7070.00	+	8865.50i	1.06600	+	1.33672i	0.938653	+	0.344863i	$0.112075\pi$
$353$	7070.00	+	8865.50i	1.06600	+	1.33672i	0.127347	+	0.991858i	$0.459354\pi$
$354$	1159.58	−	558.422i	0.174098	−	0.0838413i
$355$	−4252.66	+	18632.1i	−0.635797	+	2.78561i
$356$	−929.783	+	447.760i	−0.138422	+	0.0666607i
$357$	778.225	−	3409.63i	0.115373	−	0.505481i
$358$	−8629.82			−1.27402
$359$	−177.245	−	776.561i	−0.0260575	−	0.114165i	0.960227	−	0.279222i	$-0.0900765\pi$
$359$	−177.245	−	776.561i	−0.0260575	−	0.114165i	−0.986284	+	0.165057i	$0.947219\pi$
$360$	9384.94	+	4519.55i	1.37397	+	0.661670i
$361$	18233.4			2.65832
$362$	−839.227	−	1052.36i	−0.121847	−	0.152792i
$363$	7589.45	−	3654.89i	1.09736	−	0.528462i
$364$	490.969	+	615.656i	0.0706972	+	0.0886515i
$365$	−13437.9	+	6471.34i	−1.92704	+	0.928015i
$366$	−8066.57	+	3884.65i	−1.15204	+	0.554793i
$367$	−1264.49	−	5540.10i	−0.179853	−	0.787986i	−0.981696	−	0.190452i	$-0.939005\pi$
$367$	−1264.49	−	5540.10i	−0.179853	−	0.787986i	0.801844	−	0.597534i	$-0.203853\pi$
$368$	−3505.54	−	4395.81i	−0.496573	−	0.622683i
$369$	−1264.48	+	5540.05i	−0.178391	+	0.781581i
$370$	3445.63	−	4320.68i	0.484134	−	0.607085i
$371$	−4419.07	+	2128.11i	−0.618401	+	0.297806i
$372$	1619.04	−	2030.21i	0.225653	−	0.282960i
$373$	−3373.80	−	4230.61i	−0.468334	−	0.587272i	0.490428	−	0.871482i	$-0.336840\pi$
$373$	−3373.80	−	4230.61i	−0.468334	−	0.587272i	−0.958762	+	0.284209i	$0.908269\pi$
$374$	−1860.62			−0.257247
$375$	14982.2			2.06314
$376$	−10110.2	−	4868.84i	−1.38669	−	0.667796i
$377$	2194.96	+	2752.40i	0.299858	+	0.376010i
$378$	−122.266	−	535.683i	−0.0166368	−	0.0728904i
$379$	−1629.25	−	7138.23i	−0.220816	−	0.967457i	−0.956866	−	0.290530i	$-0.906168\pi$
$379$	−1629.25	−	7138.23i	−0.220816	−	0.967457i	0.736050	−	0.676927i	$-0.236689\pi$
$380$	−7971.14			−1.07608
$381$	−3367.19	−	14752.6i	−0.452772	−	1.98372i
$382$	−7518.73	+	3620.83i	−1.00705	+	0.484968i
$383$	5064.22	−	2438.80i	0.675639	−	0.325371i	−0.0644100	−	0.997924i	$-0.520517\pi$
$383$	5064.22	−	2438.80i	0.675639	−	0.325371i	0.740049	+	0.672553i	$0.234802\pi$
$384$	−2289.52	−	1102.57i	−0.304261	−	0.146525i
$385$	958.672	+	1202.14i	0.126905	+	0.159134i
$386$	37.4838	−	164.227i	0.00494268	−	0.0216553i
$387$	−5991.72	−	2885.46i	−0.787019	−	0.379008i
$388$	113.657			0.0148713
$389$	−3724.54	−	4670.43i	−0.485455	−	0.608741i	0.477425	−	0.878673i	$-0.341570\pi$
$389$	−3724.54	−	4670.43i	−0.485455	−	0.608741i	−0.962879	+	0.269932i	$0.912999\pi$
$390$	8106.86	−	10165.7i	1.05258	−	1.31990i
$391$	−9950.38	−	4791.85i	−1.28699	−	0.619781i
$392$	−6500.73	+	3130.59i	−0.837593	+	0.403364i
$393$	−15845.8			−2.03388
$394$	3375.67	+	5436.28i	0.431634	+	0.695116i
$395$	−1907.20			−0.242941
$396$	−604.171	+	290.954i	−0.0766685	+	0.0369216i
$397$	8950.75	+	4310.45i	1.13155	+	0.544926i	0.903442	−	0.428710i	$-0.141032\pi$
$397$	8950.75	+	4310.45i	1.13155	+	0.544926i	0.228108	+	0.973636i	$0.426746\pi$
$398$	6972.64	−	8743.42i	0.878158	−	1.10118i
$399$	−4904.12	−	6149.57i	−0.615320	−	0.771587i
$400$	−8505.55			−1.06319
$401$	−763.916	−	367.883i	−0.0951325	−	0.0458134i	0.385712	−	0.922619i	$-0.373956\pi$
$401$	−763.916	−	367.883i	−0.0951325	−	0.0458134i	−0.480845	+	0.876806i	$0.659670\pi$
$402$	−469.843	+	2058.52i	−0.0582927	+	0.255397i
$403$	−3672.68	−	4605.40i	−0.453969	−	0.569259i
$404$	113.371	+	54.5966i	0.0139614	+	0.00672347i
$405$	14321.9	−	6897.04i	1.75718	−	0.846214i
$406$	1234.70	−	594.600i	0.150929	−	0.0726835i
$407$	318.696	+	1396.30i	0.0388137	+	0.170054i
$408$	−12172.1			−1.47698
$409$	2559.86	+	11215.5i	0.309479	+	1.35591i	0.855352	+	0.518047i	$0.173341\pi$
$409$	2559.86	+	11215.5i	0.309479	+	1.35591i	−0.545874	+	0.837868i	$0.683802\pi$
$410$	−2506.65	−	10982.4i	−0.301938	−	1.32288i
$411$	−1632.78	−	2047.44i	−0.195959	−	0.245725i
$412$	2293.52	+	1104.50i	0.274256	+	0.132075i
$413$	561.051			0.0668462
$414$	8062.88			0.957172
$415$	4131.86	+	5181.19i	0.488735	+	0.612854i
$416$	2993.07	−	3753.20i	0.352758	−	0.442345i
$417$	−6145.83	+	2959.67i	−0.721732	+	0.347568i
$418$	−2609.06	+	3271.66i	−0.305295	+	0.382828i
$419$	1098.84	−	4814.31i	0.128118	−	0.561324i	−0.869597	−	0.493763i	$-0.835621\pi$
$419$	1098.84	−	4814.31i	0.128118	−	0.561324i	0.997715	−	0.0675609i	$-0.0215217\pi$
$420$	1557.90	+	1953.54i	0.180994	+	0.226959i
$421$	−1936.33	−	8483.63i	−0.224159	−	0.982106i	−0.954310	−	0.298820i	$-0.903407\pi$
$421$	−1936.33	−	8483.63i	−0.224159	−	0.982106i	0.730150	−	0.683287i	$-0.239450\pi$
$422$	6903.89	−	3324.74i	0.796389	−	0.383521i
$423$	9119.12	−	4391.54i	1.04820	−	0.504784i
$424$	10643.4	+	13346.4i	1.21908	+	1.52867i
$425$	−15052.8	+	7249.03i	−1.71804	+	0.827364i
$426$	10165.4	+	12746.9i	1.15613	+	1.44975i
$427$	−3902.94			−0.442333
$428$	−383.754	−	184.806i	−0.0433398	−	0.0208713i
$429$	749.827	+	3285.21i	0.0843869	+	0.369723i
$430$	13183.3			1.47850
$431$	−2253.33	+	9872.50i	−0.251831	+	1.10335i	0.677914	+	0.735141i	$0.262884\pi$
$431$	−2253.33	+	9872.50i	−0.251831	+	1.10335i	−0.929745	+	0.368204i	$0.879973\pi$
$432$	−1083.68	+	521.873i	−0.120691	+	0.0581218i
$433$	−1933.91	+	8473.01i	−0.214637	+	0.940385i	0.746733	+	0.665124i	$0.231621\pi$
$433$	−1933.91	+	8473.01i	−0.214637	+	0.940385i	−0.961370	+	0.275261i	$0.911236\pi$
$434$	−2065.94	+	994.903i	−0.228498	+	0.110039i
$435$	6964.84	+	8733.64i	0.767675	+	0.962634i
$436$	536.091	+	258.168i	0.0588856	+	0.0283578i
$437$	−22378.8	+	10777.1i	−2.44971	+	1.17972i
$438$	−2831.36	+	12405.0i	−0.308876	+	1.35327i
$439$	−1583.37	+	6937.18i	−0.172141	+	0.754199i	0.812974	+	0.582300i	$0.197847\pi$
$439$	−1583.37	+	6937.18i	−0.172141	+	0.754199i	−0.985115	+	0.171899i	$0.945010\pi$
$440$	3336.56	−	4183.92i	0.361510	−	0.453319i
$441$	1448.15	−	6344.77i	0.156371	−	0.685107i
$442$	−1526.24	+	6686.91i	−0.164244	+	0.719602i
$443$	943.529	+	1183.15i	0.101193	+	0.126892i	0.829849	−	0.557988i	$-0.188426\pi$
$443$	943.529	+	1183.15i	0.101193	+	0.126892i	−0.728657	+	0.684879i	$0.759855\pi$
$444$	517.899	+	2269.06i	0.0553567	+	0.242534i
$445$	1652.93	+	7241.94i	0.176081	+	0.771463i
$446$	6221.17	+	2995.96i	0.660495	+	0.318078i
$447$	14514.3	−	18200.3i	1.53580	−	1.92583i
$448$	−2430.98	−	3048.35i	−0.256368	−	0.321475i
$449$	−7391.84	−	3559.72i	−0.776932	−	0.374151i	0.00301554	−	0.999995i	$-0.499040\pi$
$449$	−7391.84	−	3559.72i	−0.776932	−	0.374151i	−0.779948	+	0.625845i	$0.784754\pi$
$450$	7604.95	−	9536.31i	0.796669	−	0.998991i
$451$	2630.26	+	1266.67i	0.274621	+	0.132251i
$452$	1049.24	−	1315.71i	0.109187	−	0.136916i
$453$	1577.32	−	759.595i	0.163596	−	0.0787834i
$454$	−2020.38	−	972.963i	−0.208857	−	0.100580i
$455$	5106.77	−	2459.29i	0.526173	−	0.253392i
$456$	−17068.3	+	21403.0i	−1.75284	+	2.19800i
$457$	649.417	+	2845.28i	0.0664736	+	0.291240i	0.997228	−	0.0744048i	$-0.0237057\pi$
$457$	649.417	+	2845.28i	0.0664736	+	0.291240i	−0.930755	+	0.365645i	$0.880849\pi$
$458$	−5484.22	−	2641.06i	−0.559521	−	0.269451i
$459$	−1473.08	+	1847.18i	−0.149798	+	0.187841i
$460$	7109.10	−	3423.56i	0.720572	−	0.347009i
$461$	835.799	−	3661.87i	0.0844404	−	0.369958i	−0.914998	−	0.403458i	$-0.867808\pi$
$461$	835.799	−	3661.87i	0.0844404	−	0.369958i	0.999439	+	0.0335001i	$0.0106654\pi$
$462$	1311.73			0.132093
$463$	−9777.66			−0.981439			−0.490720	−	0.871317i	$-0.663266\pi$
$463$	−9777.66			−0.981439			−0.490720	+	0.871317i	$0.663266\pi$
$464$	−1870.41	−	2345.42i	−0.187137	−	0.234662i
$465$	−11653.8	−	14613.4i	−1.16222	−	1.45738i
$466$	13249.3	−	6380.53i	1.31709	−	0.634276i
$467$	546.570	−	2394.68i	0.0541590	−	0.237286i	−0.940602	−	0.339510i	$-0.889739\pi$
$467$	546.570	−	2394.68i	0.0541590	−	0.237286i	0.994761	+	0.102224i	$0.0325959\pi$
$468$	550.068	+	2410.01i	0.0543310	+	0.238040i
$469$	−573.884	+	719.628i	−0.0565021	+	0.0708514i
$470$	−12509.9	+	15686.9i	−1.22774	+	1.53954i
$471$	4794.99			0.469090
$472$	−434.513	−	1903.72i	−0.0423730	−	0.185648i
$473$	−2130.20	+	2671.18i	−0.207075	+	0.259664i
$474$	−1014.45	+	1272.08i	−0.0983019	+	0.123267i
$475$	−8361.31	+	36633.3i	−0.807670	+	3.53864i
$476$	−1187.54	−	571.890i	−0.114351	−	0.0550683i
$477$	−15397.2			−1.47797
$478$	674.849			0.0645751
$479$	2705.29	−	11852.7i	0.258054	−	1.13061i	−0.665275	−	0.746598i	$-0.731686\pi$
$479$	2705.29	−	11852.7i	0.258054	−	1.13061i	0.923329	−	0.384010i	$-0.125457\pi$
$480$	9497.33	−	11909.3i	0.903108	−	1.13246i
$481$	5279.60			0.500476
$482$	−1589.67	−	6964.80i	−0.150223	−	0.658170i
$483$	7014.97	+	3378.23i	0.660853	+	0.318250i
$484$	−706.441	−	3095.12i	−0.0663449	−	0.290676i
$485$	182.044	−	797.589i	0.0170437	−	0.0746735i
$486$	2551.19	−	11177.5i	0.238116	−	1.04326i
$487$	−20038.7			−1.86456			−0.932281	−	0.361734i	$-0.882185\pi$
$487$	−20038.7			−1.86456			−0.932281	+	0.361734i	$0.882185\pi$
$488$	3022.68	+	13243.2i	0.280390	+	1.22847i
$489$	4808.78	+	6030.02i	0.444705	+	0.557642i
$490$	2870.76	+	12577.6i	0.264669	+	1.15959i
$491$	−837.065	−	1049.65i	−0.0769373	−	0.0964763i	0.741873	−	0.670540i	$-0.233938\pi$
$491$	−837.065	−	1049.65i	−0.0769373	−	0.0964763i	−0.818811	+	0.574064i	$0.805366\pi$
$492$	4274.33	+	2058.41i	0.391670	+	0.188618i
$493$	−5309.11	−	2556.73i	−0.485011	−	0.233569i
$494$	9617.89	+	12060.4i	0.875970	+	1.09843i
$495$	1074.07	+	4705.80i	0.0975269	+	0.427293i
$496$	3129.63	+	3924.43i	0.283315	+	0.355266i
$497$	1581.53	+	6929.12i	0.142739	+	0.625379i
$498$	5653.52			0.508716
$499$	−1361.83	+	5966.57i	−0.122172	+	0.535271i	0.876387	+	0.481608i	$0.159947\pi$
$499$	−1361.83	+	5966.57i	−0.122172	+	0.535271i	−0.998559	+	0.0536634i	$0.982910\pi$
$500$	1256.46	−	5504.93i	0.112382	−	0.492376i
$501$	3001.80	+	13151.8i	0.267686	+	1.17281i
$502$	−8840.41	−	4257.32i	−0.785990	−	0.378513i
$503$	−4470.64	−	19587.2i	−0.396295	−	1.73628i	−0.641789	−	0.766882i	$-0.721807\pi$
$503$	−4470.64	−	19587.2i	−0.396295	−	1.73628i	0.245494	−	0.969398i	$-0.421050\pi$
$504$	3873.80			0.342366
$505$	564.720	−	708.136i	0.0497618	−	0.0623993i
$506$	921.743	−	4038.42i	0.0809812	−	0.354802i
$507$	−2991.43			−0.262040
$508$	−5702.96			−0.498087
$509$	3064.17	+	1475.63i	0.266831	+	0.128499i	0.562516	−	0.826786i	$-0.309834\pi$
$509$	3064.17	+	1475.63i	0.266831	+	0.128499i	−0.295685	+	0.955286i	$0.595548\pi$
$510$	−4842.93	+	21218.3i	−0.420487	+	1.84228i
$511$	−3458.32	+	4336.60i	−0.299388	+	0.375421i
$512$	−6956.20	+	8722.80i	−0.600437	+	0.752924i
$513$	1182.40	+	5180.42i	0.101762	+	0.445850i
$514$	−16166.9			−1.38734
$515$	11424.4	−	14325.7i	0.977512	−	1.22576i
$516$	−3461.69	+	4340.82i	−0.295334	+	0.370337i
$517$	−1157.08	−	5069.49i	−0.0984299	−	0.431249i
$518$	457.325	−	2003.67i	0.0387910	−	0.169954i
$519$	−15520.3	+	7474.17i	−1.31265	+	0.632138i
$520$	−12299.7	−	15423.4i	−1.03727	−	1.30069i
$521$	316.898	+	397.377i	0.0266479	+	0.0334154i	0.794977	−	0.606640i	$-0.207483\pi$
$521$	316.898	+	397.377i	0.0266479	+	0.0334154i	−0.768329	+	0.640055i	$0.778912\pi$
$522$	4302.02			0.360717
$523$	9948.61			0.831783			0.415891	−	0.909414i	$-0.363470\pi$
$523$	9948.61			0.831783			0.415891	+	0.909414i	$0.363470\pi$
$524$	−1328.89	+	5822.24i	−0.110788	+	0.485393i
$525$	10612.1	−	5110.53i	0.882193	−	0.424842i
$526$	2193.30	−	2750.31i	0.181811	−	0.227984i
$527$	8883.36	+	4278.00i	0.734280	+	0.353611i
$528$	−638.955	−	2799.44i	−0.0526647	−	0.230739i
$529$	7743.95	−	9710.60i	0.636471	−	0.798110i
$530$	27500.1	−	13243.3i	2.25382	−	1.08538i
$531$	1586.84	+	764.181i	0.129685	+	0.0624532i
$532$	−2670.83	+	1286.20i	−0.217660	+	0.104819i
$533$	6709.87	−	8413.92i	0.545285	−	0.683766i
$534$	5709.47	+	2749.53i	0.462683	+	0.222816i
$535$	−1911.54	+	2396.99i	−0.154473	+	0.193703i
$536$	2886.25	+	1389.95i	0.232588	+	0.112008i
$537$	−16310.9	−	20453.2i	−1.31074	−	1.64361i
$538$	−12729.9	+	15962.8i	−1.02012	+	1.27919i
$539$	−3012.33	−	1450.66i	−0.240724	−	0.115926i
$540$	−375.614	−	1645.67i	−0.0299330	−	0.131145i
$541$	−3711.83	−	16262.6i	−0.294979	−	1.29239i	−0.877501	−	0.479574i	$-0.840791\pi$
$541$	−3711.83	−	16262.6i	−0.294979	−	1.29239i	0.582522	−	0.812815i	$-0.302066\pi$
$542$	−9644.78	−	12094.2i	−0.764352	−	0.958467i
$543$	907.961	−	3978.04i	0.0717575	−	0.314390i
$544$	−1788.02	+	7833.83i	−0.140921	+	0.617413i
$545$	2670.36	−	3348.52i	0.209882	−	0.263183i
$546$	1075.99	−	4714.24i	0.0843376	−	0.369507i
$547$	3647.81	−	15982.1i	0.285136	−	1.24926i	−0.605979	−	0.795481i	$-0.707218\pi$
$547$	3647.81	−	15982.1i	0.285136	−	1.24926i	0.891114	−	0.453779i	$-0.149925\pi$
$548$	−889.227	+	428.229i	−0.0693173	+	0.0333814i
$549$	−11038.8	−	5316.01i	−0.858151	−	0.413264i
$550$	−3907.02	−	4899.24i	−0.302901	−	0.379826i
$551$	−11940.4	+	5750.19i	−0.923190	+	0.444585i
$552$	6029.98	−	26419.1i	0.464951	−	2.03709i
$553$	−639.032	+	307.742i	−0.0491400	+	0.0236646i
$554$	−2268.30	+	9938.06i	−0.173954	+	0.762144i
$555$	16752.7			1.28128
$556$	572.065	+	2506.38i	0.0436349	+	0.191177i
$557$	−5373.61	−	2587.79i	−0.408774	−	0.196855i	0.218185	−	0.975907i	$-0.429986\pi$
$557$	−5373.61	−	2587.79i	−0.408774	−	0.196855i	−0.626959	+	0.779052i	$0.715701\pi$
$558$	−7198.27			−0.546106
$559$	7852.63	+	9846.89i	0.594152	+	0.745043i
$560$	−4351.66	+	2095.65i	−0.328377	+	0.158138i
$561$	−3516.68	−	4409.78i	−0.264660	−	0.331874i
$562$	−117.142	+	56.4127i	−0.00879244	+	0.00423421i
$563$	23291.0	−	11216.3i	1.74351	−	0.839631i	0.762164	−	0.647384i	$-0.224137\pi$
$563$	23291.0	−	11216.3i	1.74351	−	0.839631i	0.981347	−	0.192247i	$-0.0615773\pi$
$564$	−1880.32	−	8238.21i	−0.140382	−	0.615055i
$565$	−7552.45	−	9470.47i	−0.562361	−	0.705179i
$566$	−684.500	+	2998.99i	−0.0508334	+	0.222716i
$567$	3685.82	−	4621.87i	0.272998	−	0.342329i
$568$	22286.7	−	10732.7i	1.64635	−	0.792841i
$569$	7524.37	−	9435.26i	0.554373	−	0.695161i	−0.423134	−	0.906067i	$-0.639070\pi$
$569$	7524.37	−	9435.26i	0.554373	−	0.695161i	0.977506	+	0.210906i	$0.0676413\pi$
$570$	30518.5	+	38269.0i	2.24260	+	2.81213i
$571$	5614.11			0.411459			0.205730	−	0.978609i	$-0.434043\pi$
$571$	5614.11			0.411459			0.205730	+	0.978609i	$0.434043\pi$
$572$	1269.97			0.0928326
$573$	−22792.4	−	10976.3i	−1.66172	−	0.800244i
$574$	−2611.97	−	3275.30i	−0.189933	−	0.238168i
$575$	−8276.73	−	36262.7i	−0.600285	−	2.63002i
$576$	−2723.60	−	11932.9i	−0.197020	−	0.863199i
$577$	956.905			0.0690407			0.0345204	−	0.999404i	$-0.489010\pi$
$577$	956.905			0.0690407			0.0345204	+	0.999404i	$0.489010\pi$
$578$	−24.5975	−	107.769i	−0.00177011	−	0.00775535i
$579$	460.075	−	221.560i	0.0330226	−	0.0159028i
$580$	3793.12	−	1826.67i	0.271553	−	0.130773i
$581$	2220.45	+	1069.31i	0.158554	+	0.0763556i
$582$	−435.150	−	545.661i	−0.0309923	−	0.0388632i
$583$	−1760.20	+	7711.93i	−0.125043	+	0.547848i
$584$	17393.0	+	8376.05i	1.23241	+	0.593499i
$585$	17793.3			1.25754
$586$	−5460.45	−	6847.19i	−0.384930	−	0.482687i
$587$	9758.52	−	12236.8i	0.686163	−	0.860421i	−0.309743	−	0.950820i	$-0.600243\pi$
$587$	9758.52	−	12236.8i	0.686163	−	0.860421i	0.995906	+	0.0903997i	$0.0288145\pi$
$588$	−4895.20	−	2357.40i	−0.343324	−	0.165336i
$589$	19979.0	−	9621.39i	1.39766	−	0.673078i
$590$	−3491.44			−0.243628
$591$	−6504.08	+	18275.4i	−0.452694	+	1.27200i
$592$	−4498.94			−0.312340
$593$	−10889.5	+	5244.09i	−0.754093	+	0.363152i	−0.771109	−	0.636703i	$-0.780298\pi$
$593$	−10889.5	+	5244.09i	−0.754093	+	0.363152i	0.0170162	+	0.999855i	$0.494583\pi$
$594$	−798.389	−	384.484i	−0.0551487	−	0.0265582i
$595$	−5915.33	+	7417.59i	−0.407571	+	0.511078i
$596$	−5470.15	−	6859.35i	−0.375950	−	0.471426i
$597$	33901.1			2.32409
$598$	−13757.7	−	6625.34i	−0.940790	−	0.453061i
$599$	2295.83	−	10058.7i	0.156603	−	0.686122i	−0.834274	−	0.551351i	$-0.814113\pi$
$599$	2295.83	−	10058.7i	0.156603	−	0.686122i	0.990877	−	0.134772i	$-0.0430302\pi$
$600$	−25559.4	−	32050.5i	−1.73910	−	2.18076i
$601$	8066.98	+	3884.85i	0.547519	+	0.263671i	0.687129	−	0.726535i	$-0.258871\pi$
$601$	8066.98	+	3884.85i	0.547519	+	0.263671i	−0.139610	+	0.990207i	$0.544585\pi$
$602$	4417.22	−	2127.22i	0.299057	−	0.144018i
$603$	−2603.31	+	1253.69i	−0.175812	+	0.0846667i
$604$	−146.820	−	643.259i	−0.00989074	−	0.0433342i
$605$	−22851.6			−1.53562
$606$	−171.940	−	753.319i	−0.0115257	−	0.0504975i
$607$	330.474	+	1447.90i	0.0220980	+	0.0968178i	0.984774	−	0.173838i	$-0.0556168\pi$
$607$	330.474	+	1447.90i	0.0220980	+	0.0968178i	−0.962676	+	0.270655i	$0.912760\pi$
$608$	11267.5	+	14129.0i	0.751576	+	0.942446i
$609$	3742.89	+	1802.48i	0.249047	+	0.119935i
$610$	24288.1			1.61213
$611$	−19168.5			−1.26919
$612$	−2579.82	−	3234.99i	−0.170397	−	0.213671i
$613$	10793.3	−	13534.4i	0.711154	−	0.891759i	−0.286647	−	0.958036i	$-0.592541\pi$
$613$	10793.3	−	13534.4i	0.711154	−	0.891759i	0.997801	+	0.0662772i	$0.0211122\pi$
$614$	10254.6	−	4938.34i	0.674007	−	0.324585i
$615$	21291.1	−	26698.2i	1.39600	−	1.75053i
$616$	442.850	−	1940.25i	0.0289658	−	0.126907i
$617$	2776.67	+	3481.84i	0.181174	+	0.227185i	0.864123	−	0.503281i	$-0.167874\pi$
$617$	2776.67	+	3481.84i	0.181174	+	0.227185i	−0.682948	+	0.730467i	$0.739303\pi$
$618$	−3478.38	−	15239.8i	−0.226409	−	0.991965i
$619$	4746.74	−	2285.91i	0.308219	−	0.148430i	−0.273380	−	0.961906i	$-0.588142\pi$
$619$	4746.74	−	2285.91i	0.308219	−	0.148430i	0.581599	+	0.813476i	$0.302427\pi$
$620$	−6346.76	+	3056.44i	−0.411116	+	0.197983i
$621$	−3279.49	−	4112.35i	−0.211919	−	0.265737i
$622$	18754.8	−	9031.83i	1.20900	−	0.582224i
$623$	1722.37	+	2159.79i	0.110763	+	0.138893i
$624$	−10585.1			−0.679075
$625$	−9903.66	−	4769.35i	−0.633834	−	0.305238i
$626$	3722.05	+	16307.4i	0.237641	+	1.04117i
$627$	−12685.3			−0.807978
$628$	402.127	−	1761.83i	0.0255519	−	0.111950i
$629$	−7962.04	+	3834.32i	−0.504718	+	0.243059i
$630$	1541.28	−	6752.78i	0.0974699	−	0.427043i
$631$	14397.2	−	6933.34i	0.908311	−	0.437420i	0.0794277	−	0.996841i	$-0.474691\pi$
$631$	14397.2	−	6933.34i	0.908311	−	0.437420i	0.828884	+	0.559421i	$0.188976\pi$
$632$	1539.12	+	1929.99i	0.0968715	+	0.121473i
$633$	20928.6	+	10078.7i	1.31412	+	0.632846i
$634$	−5588.65	+	2691.35i	−0.350084	+	0.168592i
$635$	−9134.45	+	40020.7i	−0.570850	+	2.50106i
$636$	−2860.42	+	12532.3i	−0.178338	+	0.781350i
$637$	−7684.53	+	9636.09i	−0.477978	+	0.599366i
$638$	491.804	−	2154.73i	0.0305183	−	0.133710i
$639$	−4964.75	+	21752.0i	−0.307359	+	1.34663i
$640$	4298.12	+	5389.67i	0.265466	+	0.332884i
$641$	−5348.19	−	23432.0i	−0.329549	−	1.44385i	−0.819992	−	0.572375i	$-0.806022\pi$
$641$	−5348.19	−	23432.0i	−0.329549	−	1.44385i	0.490443	−	0.871473i	$-0.336835\pi$
$642$	582.006	+	2549.94i	0.0357787	+	0.156757i
$643$	2113.10	+	1017.62i	0.129600	+	0.0624120i	0.497560	−	0.867430i	$-0.334229\pi$
$643$	2113.10	+	1017.62i	0.129600	+	0.0624120i	−0.367960	+	0.929842i	$0.619944\pi$
$644$	1829.57	−	2294.21i	0.111949	−	0.140380i
$645$	24917.2	+	31245.2i	1.52111	+	1.90741i
$646$	−23263.4	−	11203.1i	−1.41685	−	0.682321i
$647$	−16637.0	+	20862.2i	−1.01093	+	1.26766i	−0.0477309	+	0.998860i	$0.515199\pi$
$647$	−16637.0	+	20862.2i	−1.01093	+	1.26766i	−0.963196	+	0.268802i	$0.913372\pi$
$648$	−18537.2	−	8927.05i	−1.12378	−	0.541185i
$649$	564.158	−	707.432i	0.0341219	−	0.0427876i
$650$	−20812.4	+	10022.7i	−1.25589	+	0.604804i
$651$	−6262.72	−	3015.97i	−0.377044	−	0.181575i
$652$	2618.91	−	1261.20i	0.157307	−	0.0757551i
$653$	−16389.1	+	20551.3i	−0.982166	+	1.23160i	−0.00936429	+	0.999956i	$0.502981\pi$
$653$	−16389.1	+	20551.3i	−0.982166	+	1.23160i	−0.972801	+	0.231641i	$0.925591\pi$
$654$	−813.043	−	3562.18i	−0.0486124	−	0.212985i
$655$	38729.2	+	18651.0i	2.31034	+	1.11260i
$656$	−5717.73	+	7169.81i	−0.340305	+	0.426729i
$657$	−15688.0	+	7554.93i	−0.931577	+	0.448624i
$658$	−1660.40	+	7274.67i	−0.0983723	+	0.430997i
$659$	8976.75			0.530629			0.265314	−	0.964162i	$-0.414524\pi$
$659$	8976.75			0.530629			0.265314	+	0.964162i	$0.414524\pi$
$660$	4029.75			0.237664
$661$	10104.7	+	12670.9i	0.594593	+	0.745596i	0.984524	−	0.175248i	$-0.0560727\pi$
$661$	10104.7	+	12670.9i	0.594593	+	0.745596i	−0.389931	+	0.920844i	$0.627501\pi$
$662$	8129.80	+	10194.5i	0.477302	+	0.598518i
$663$	−18733.1	+	9021.38i	−1.09733	+	0.528448i
$664$	1908.68	−	8362.45i	0.111553	−	0.488744i
$665$	4748.08	+	20802.7i	0.276876	+	1.21307i
$666$	4022.58	−	5044.15i	0.234042	−	0.293479i
$667$	8179.42	−	10256.7i	0.474825	−	0.595412i
$668$	5084.12			0.294477
$669$	4657.78	+	20407.1i	0.269178	+	1.17935i
$670$	3571.31	−	4478.27i	0.205928	−	0.258225i
$671$	−3924.55	+	4921.23i	−0.225791	+	0.283133i
$672$	1260.55	−	5522.81i	0.0723610	−	0.317034i
$673$	10294.6	+	4957.62i	0.589640	+	0.283956i	0.704817	−	0.709389i	$-0.251029\pi$
$673$	10294.6	+	4957.62i	0.589640	+	0.283956i	−0.115177	+	0.993345i	$0.536743\pi$
$674$	162.808			0.00930433
$675$	−7957.08			−0.453731
$676$	−250.873	+	1099.15i	−0.0142736	+	0.0625368i
$677$	7789.36	−	9767.55i	0.442200	−	0.554502i	−0.509921	−	0.860221i	$-0.670326\pi$
$677$	7789.36	−	9767.55i	0.442200	−	0.554502i	0.952122	+	0.305719i	$0.0988970\pi$
$678$	−10333.8			−0.585352
$679$	−67.7007	−	296.616i	−0.00382638	−	0.0167645i
$680$	29750.2	+	14326.9i	1.67774	+	0.807959i
$681$	−1512.65	−	6627.37i	−0.0851176	−	0.372924i
$682$	−822.901	+	3605.37i	−0.0462031	+	0.202429i
$683$	2673.97	−	11715.4i	0.149805	−	0.656337i	−0.843134	−	0.537704i	$-0.819292\pi$
$683$	2673.97	−	11715.4i	0.149805	−	0.656337i	0.992938	−	0.118633i	$-0.0378512\pi$
$684$	−9305.86			−0.520202
$685$	1580.83	+	6926.06i	0.0881757	+	0.386323i
$686$	6494.35	+	8143.66i	0.361451	+	0.453245i
$687$	−4106.03	−	17989.7i	−0.228027	−	0.999053i
$688$	−6691.52	−	8390.90i	−0.370802	−	0.464971i
$689$	26272.2	+	12652.0i	1.45267	+	0.699569i
$690$	−43654.4	−	21022.9i	−2.40855	−	1.15989i
$691$	−17975.1	−	22540.0i	−0.989586	−	1.24090i	−0.970504	−	0.241084i	$-0.922497\pi$
$691$	−17975.1	−	22540.0i	−0.989586	−	1.24090i	−0.0190820	−	0.999818i	$-0.506074\pi$
$692$	1444.66	+	6329.46i	0.0793607	+	0.347702i
$693$	1119.20	+	1403.43i	0.0613488	+	0.0769290i
$694$	−572.156	−	2506.78i	−0.0312950	−	0.137112i
$695$	18504.9			1.00997
$696$	3217.35	−	14096.1i	0.175220	−	0.767690i
$697$	−4008.39	+	17561.9i	−0.217831	+	0.954382i
$698$	3448.72	+	15109.8i	0.187015	+	0.819364i
$699$	40164.2	+	19342.1i	2.17332	+	1.04662i
$700$	−987.797	−	4327.82i	−0.0533360	−	0.233680i
$701$	−23136.2			−1.24657			−0.623284	−	0.781996i	$-0.714202\pi$
$701$	−23136.2			−1.24657			−0.623284	+	0.781996i	$0.714202\pi$
$702$	−2036.71	+	2553.96i	−0.109503	+	0.137312i
$703$	−4422.65	+	19376.9i	−0.237274	+	1.03956i
$704$	−6288.12			−0.336637
$705$	−60823.5			−3.24928
$706$	−23643.8	−	11386.3i	−1.26041	−	0.606980i
$707$	74.9532	−	328.391i	0.00398713	−	0.0174688i
$708$	916.789	−	1149.62i	0.0486653	−	0.0610244i
$709$	10805.2	−	13549.3i	0.572352	−	0.717707i	−0.408435	−	0.912787i	$-0.633925\pi$
$709$	10805.2	−	13549.3i	0.572352	−	0.717707i	0.980787	+	0.195081i	$0.0624969\pi$
$710$	−9841.91	−	43120.2i	−0.520226	−	2.27926i
$711$	−2226.56			−0.117444
$712$	5994.56	−	7516.94i	0.315527	−	0.395659i
$713$	−13686.1	+	17161.8i	−0.718860	+	0.901422i
$714$	1801.04	+	7890.88i	0.0944010	+	0.413598i
$715$	2034.12	−	8912.06i	0.106394	−	0.466143i
$716$	−8883.05	+	4277.85i	−0.463652	+	0.223283i
$717$	1275.51	+	1599.43i	0.0664360	+	0.0833081i
$718$	1149.35	+	1441.23i	0.0597399	+	0.0749114i
$719$	33252.2			1.72475			0.862377	−	0.506266i	$-0.168975\pi$
$719$	33252.2			1.72475			0.862377	+	0.506266i	$0.168975\pi$
$720$	−15162.3			−0.784815
$721$	1516.32	−	6643.42i	0.0783226	−	0.343154i
$722$	−38018.6	+	18308.8i	−1.95970	+	0.943744i
$723$	13502.4	−	16931.5i	0.694551	−	0.870939i
$724$	−1385.51	−	667.227i	−0.0711218	−	0.0342504i
$725$	−4416.12	−	19348.3i	−0.226221	−	0.991141i
$726$	−12154.8	+	15241.7i	−0.621360	+	0.779161i
$727$	9160.50	−	4411.46i	0.467323	−	0.225051i	−0.185377	−	0.982668i	$-0.559350\pi$
$727$	9160.50	−	4411.46i	0.467323	−	0.225051i	0.652700	+	0.757616i	$0.273636\pi$
$728$	−6609.84	−	3183.13i	−0.336507	−	0.162053i
$729$	10995.2	−	5295.00i	0.558613	−	0.269014i
$730$	21521.3	−	26986.9i	1.09115	−	1.36826i
$731$	−18993.7	−	9146.88i	−0.961022	−	0.462804i
$732$	−6377.62	+	7997.29i	−0.322027	+	0.403809i
$733$	23735.8	+	11430.6i	1.19605	+	0.575986i	0.922547	−	0.385885i	$-0.126104\pi$
$733$	23735.8	+	11430.6i	1.19605	+	0.575986i	0.273501	+	0.961872i	$0.411818\pi$
$734$	8199.61	+	10282.0i	0.412334	+	0.517050i
$735$	−24383.8	+	30576.3i	−1.22369	+	1.53445i
$736$	−16117.3	−	7761.69i	−0.807191	−	0.388723i
$737$	330.320	+	1447.23i	0.0165095	+	0.0723328i
$738$	−2926.38	−	12821.3i	−0.145964	−	0.639510i
$739$	13275.7	+	16647.1i	0.660829	+	0.828654i	0.993433	−	0.114413i	$-0.0364987\pi$
$739$	13275.7	+	16647.1i	0.660829	+	0.828654i	−0.332604	+	0.943067i	$0.607927\pi$
$740$	1404.95	−	6155.48i	0.0697931	−	0.305784i
$741$	−10405.6	+	45589.9i	−0.515870	+	2.26017i
$742$	7077.32	−	8874.68i	0.350157	−	0.439083i
$743$	1340.20	−	5871.79i	0.0661737	−	0.289926i	−0.931003	−	0.365010i	$-0.881065\pi$
$743$	1340.20	−	5871.79i	0.0661737	−	0.289926i	0.997177	+	0.0750844i	$0.0239226\pi$
$744$	−5383.37	+	23586.1i	−0.265274	+	1.16224i
$745$	−56897.2	+	27400.2i	−2.79806	+	1.34747i
$746$	11282.8	+	5433.52i	0.553745	+	0.266669i
$747$	4823.72	+	6048.75i	0.236266	+	0.296268i
$748$	−1915.22	+	922.320i	−0.0936193	+	0.0450847i
$749$	−253.712	+	1111.58i	−0.0123771	+	0.0542274i
$750$	−31239.4	+	15044.1i	−1.52094	+	0.732445i
$751$	3975.56	−	17418.1i	0.193169	−	0.846330i	−0.781718	−	0.623632i	$-0.785656\pi$
$751$	3975.56	−	17418.1i	0.193169	−	0.846330i	0.974887	−	0.222698i	$-0.0714865\pi$
$752$	16334.2			0.792082
$753$	−6618.81	−	28998.9i	−0.320322	−	1.40342i
$754$	−7340.51	−	3535.00i	−0.354543	−	0.170739i
$755$	−4749.24			−0.228931
$756$	−391.395	−	490.794i	−0.0188292	−	0.0236111i
$757$	−16111.3	+	7758.81i	−0.773549	+	0.372522i	−0.778644	−	0.627465i	$-0.784092\pi$
$757$	−16111.3	+	7758.81i	−0.773549	+	0.372522i	0.00509537	+	0.999987i	$0.498378\pi$
$758$	10564.9	+	13248.0i	0.506246	+	0.634813i
$759$	11313.4	−	5448.27i	0.541044	−	0.260553i
$760$	66909.3	−	32221.8i	3.19349	−	1.53790i
$761$	1776.81	+	7784.72i	0.0846378	+	0.370822i	0.999454	−	0.0330487i	$-0.0105216\pi$
$761$	1776.81	+	7784.72i	0.0846378	+	0.370822i	−0.914816	+	0.403871i	$0.867664\pi$
$762$	21834.5	+	27379.6i	1.03803	+	1.30165i
$763$	354.427	−	1552.84i	0.0168166	−	0.0736785i
$764$	−5944.49	+	7454.16i	−0.281498	+	0.352987i
$765$	−26833.7	+	12922.4i	−1.26820	+	0.610734i
$766$	−8110.56	+	10170.3i	−0.382567	+	0.479724i
$767$	−2079.68	−	2607.84i	−0.0979047	−	0.122769i
$768$	−25036.9			−1.17636
$769$	−37973.7			−1.78071			−0.890356	−	0.455265i	$-0.849545\pi$
$769$	−37973.7			−1.78071			−0.890356	+	0.455265i	$0.849545\pi$
$770$	−3206.04	−	1543.95i	−0.150049	−	0.0722597i
$771$	−30556.4	−	38316.5i	−1.42732	−	1.78980i
$772$	−42.8247	−	187.627i	−0.00199649	−	0.00874721i
$773$	−1583.99	−	6939.93i	−0.0737028	−	0.322913i	0.924614	−	0.380905i	$-0.124387\pi$
$773$	−1583.99	−	6939.93i	−0.0737028	−	0.322913i	−0.998317	+	0.0579917i	$0.981530\pi$
$774$	15390.8			0.714741
$775$	7389.19	+	32374.1i	0.342487	+	1.50053i
$776$	−954.029	+	459.436i	−0.0441336	+	0.0212536i
$777$	5613.20	−	2703.17i	0.259166	−	0.124808i
$778$	12455.8	+	5998.40i	0.573987	+	0.276418i
$779$	25259.5	+	31674.4i	1.16177	+	1.45681i
$780$	3305.56	−	14482.6i	0.151741	−	0.664821i
$781$	10327.3	+	4973.34i	0.473160	+	0.227862i
$782$	25559.3			1.16879
$783$	−1749.80	−	2194.18i	−0.0798630	−	0.100145i
$784$	6548.27	−	8211.27i	0.298299	−	0.374056i
$785$	−11719.6	−	5643.86i	−0.532854	−	0.256609i
$786$	33040.1	−	15911.3i	1.49937	−	0.722057i
$787$	25340.0			1.14774			0.573871	−	0.818945i	$-0.305441\pi$
$787$	25340.0			1.14774			0.573871	+	0.818945i	$0.305441\pi$
$788$	6169.52	+	3922.46i	0.278909	+	0.177325i
$789$	10663.9			0.481171
$790$	3976.72	−	1915.09i	0.179096	−	0.0862479i
$791$	−4058.67	−	1954.55i	−0.182440	−	0.0878583i
$792$	3895.25	−	4884.49i	0.174762	−	0.219145i
$793$	14467.2	+	18141.4i	0.647852	+	0.812381i
$794$	−22991.5			−1.02763
$795$	83364.3	+	40146.1i	3.71903	+	1.79099i
$796$	2843.08	−	12456.4i	0.126596	−	0.554653i
$797$	20449.5	+	25642.9i	0.908857	+	1.13967i	0.989730	+	0.142947i	$0.0456578\pi$
$797$	20449.5	+	25642.9i	0.908857	+	1.13967i	−0.0808729	+	0.996724i	$0.525771\pi$
$798$	16400.6	+	7898.11i	0.727537	+	0.350363i
$799$	28907.5	−	13921.1i	1.27994	−	0.616388i
$800$	−24382.0	+	11741.8i	−1.07754	+	0.518918i
$801$	1929.70	+	8454.57i	0.0851219	+	0.372943i
$802$	1962.25			0.0863958
$803$	1990.57	+	8721.24i	0.0874789	+	0.383270i
$804$	536.789	+	2351.83i	0.0235461	+	0.103162i
$805$	−13169.2	−	16513.7i	−0.576590	−	0.723020i
$806$	12282.4	+	5914.88i	0.536759	+	0.258490i
$807$	−61893.2			−2.69980
$808$	−1172.33			−0.0510425
$809$	8144.27	+	10212.6i	0.353940	+	0.443826i	0.926646	−	0.375934i	$-0.122678\pi$
$809$	8144.27	+	10212.6i	0.353940	+	0.443826i	−0.572707	+	0.819760i	$0.694107\pi$
$810$	−22937.0	+	28762.1i	−0.994969	+	1.24765i
$811$	−21973.8	+	10582.0i	−0.951424	+	0.458182i	−0.844185	−	0.536052i	$-0.819915\pi$
$811$	−21973.8	+	10582.0i	−0.951424	+	0.458182i	−0.107239	+	0.994233i	$0.534201\pi$
$812$	976.183	−	1224.10i	0.0421888	−	0.0529031i
$813$	10434.7	−	45717.4i	0.450137	−	1.97218i
$814$	−2066.58	−	2591.41i	−0.0889849	−	0.111584i
$815$	−4655.77	−	20398.3i	−0.200104	−	0.876712i
$816$	15963.1	−	7687.45i	0.684831	−	0.329797i
$817$	−42717.6	+	20571.7i	−1.82925	+	0.880921i
$818$	−16599.4	−	20815.0i	−0.709517	−	0.889706i
$819$	5961.87	−	2871.08i	0.254364	−	0.122495i
$820$	−8024.22	−	10062.1i	−0.341729	−	0.428515i
$821$	−2716.82			−0.115491			−0.0577453	−	0.998331i	$-0.518391\pi$
$821$	−2716.82			−0.115491			−0.0577453	+	0.998331i	$0.518391\pi$
$822$	5460.43	+	2629.60i	0.231696	+	0.111579i
$823$	−4769.97	−	20898.6i	−0.202030	−	0.885151i	−0.969699	−	0.244304i	$-0.921440\pi$
$823$	−4769.97	−	20898.6i	−0.202030	−	0.885151i	0.767669	−	0.640847i	$-0.221417\pi$
$824$	−23716.4			−1.00267
$825$	4227.01	−	18519.7i	0.178382	−	0.781544i
$826$	−1169.85	+	563.370i	−0.0492788	+	0.0237314i
$827$	542.694	−	2377.70i	0.0228190	−	0.0999766i	−0.962236	−	0.272217i	$-0.912243\pi$
$827$	542.694	−	2377.70i	0.0228190	−	0.0999766i	0.985055	+	0.172240i	$0.0551004\pi$
$828$	8299.48	−	3996.82i	0.348341	−	0.167752i
$829$	11625.4	+	14577.7i	0.487051	+	0.610742i	0.963254	−	0.268593i	$-0.0865586\pi$
$829$	11625.4	+	14577.7i	0.487051	+	0.610742i	−0.476203	+	0.879335i	$0.657987\pi$
$830$	−13818.0	−	6654.39i	−0.577866	−	0.278286i
$831$	−27841.0	+	13407.5i	−1.16221	+	0.559689i
$832$	−5158.07	+	22599.0i	−0.214933	+	0.941682i
$833$	4590.63	−	20112.9i	0.190944	−	0.836578i
$834$	9842.79	−	12342.5i	0.408667	−	0.512452i
$835$	8143.25	−	35677.9i	0.337495	−	1.47866i
$836$	−1063.84	+	4660.98i	−0.0440115	+	0.192827i
$837$	2927.82	+	3671.37i	0.120908	+	0.151614i
$838$	2543.03	+	11141.7i	0.104830	+	0.459290i
$839$	−5218.53	−	22863.9i	−0.214736	−	0.940820i	−0.961299	−	0.275506i	$-0.911155\pi$
$839$	−5218.53	−	22863.9i	−0.214736	−	0.940820i	0.746563	−	0.665314i	$-0.231702\pi$
$840$	−20973.7	−	10100.4i	−0.861502	−	0.414877i
$841$	−10842.1	+	13595.6i	−0.444549	+	0.557446i
$842$	12556.2	+	15744.9i	0.513912	+	0.644425i
$843$	−355.107	−	171.011i	−0.0145084	−	0.00698686i
$844$	5458.39	−	6844.60i	0.222613	−	0.279148i
$845$	7311.46	+	3521.02i	0.297659	+	0.143345i
$846$	−14604.6	+	18313.6i	−0.593520	+	0.744251i
$847$	−7656.70	+	3687.27i	−0.310611	+	0.149582i
$848$	−22387.5	−	10781.2i	−0.906591	−	0.436591i
$849$	−8401.53	+	4045.96i	−0.339623	+	0.163554i
$850$	24107.6	−	30230.0i	0.972806	−	1.21986i
$851$	−4377.91	−	19180.9i	−0.176349	−	0.772635i
$852$	16782.4	+	8081.96i	0.674829	+	0.324981i
$853$	1669.17	−	2093.07i	0.0670002	−	0.0840156i	−0.747202	−	0.664597i	$-0.768603\pi$
$853$	1669.17	−	2093.07i	0.0670002	−	0.0840156i	0.814202	+	0.580581i	$0.197175\pi$
$854$	8138.04	−	3919.07i	0.326087	−	0.157035i
$855$	−14905.2	+	65304.0i	−0.596196	+	2.61211i
$856$	3968.25			0.158449
$857$	−15424.0			−0.614788			−0.307394	−	0.951582i	$-0.599457\pi$
$857$	−15424.0			−0.614788			−0.307394	+	0.951582i	$0.599457\pi$
$858$	−4862.26	−	6097.08i	−0.193467	−	0.242600i
$859$	−9454.29	−	11855.3i	−0.375525	−	0.470894i	0.557774	−	0.829993i	$-0.311656\pi$
$859$	−9454.29	−	11855.3i	−0.375525	−	0.470894i	−0.933300	+	0.359099i	$0.883084\pi$
$860$	13570.1	−	6535.03i	0.538067	−	0.259120i
$861$	2825.89	−	12381.0i	0.111854	−	0.490064i
$862$	−5214.88	−	22847.9i	−0.206055	−	0.902786i
$863$	2854.73	−	3579.72i	0.112603	−	0.141199i	−0.722336	−	0.691542i	$-0.756932\pi$
$863$	2854.73	−	3579.72i	0.112603	−	0.141199i	0.834939	+	0.550343i	$0.185503\pi$
$864$	−2386.04	+	2992.00i	−0.0939524	+	0.117813i
$865$	46731.0			1.83688
$866$	−4475.63	−	19609.0i	−0.175621	−	0.769448i
$867$	208.928	−	261.987i	0.00818403	−	0.0102625i
$868$	−1633.38	+	2048.19i	−0.0638716	+	0.0800924i
$869$	−254.538	+	1115.21i	−0.00993627	+	0.0435337i
$870$	−23292.2	−	11216.9i	−0.907677	−	0.437114i
$871$	5472.17			0.212879
$872$	−5543.51			−0.215283
$873$	212.527	−	931.141i	0.00823934	−	0.0360989i
$874$	35840.6	−	44942.6i	1.38710	−	1.73937i
$875$	−15114.9			−0.583975
$876$	3234.78	+	14172.5i	0.124764	+	0.546626i
$877$	12756.2	+	6143.06i	0.491159	+	0.236530i	0.663034	−	0.748589i	$-0.269268\pi$
$877$	12756.2	+	6143.06i	0.491159	+	0.236530i	−0.171875	+	0.985119i	$0.554983\pi$
$878$	−3664.37	−	16054.7i	−0.140850	−	0.617106i
$879$	5907.67	−	25883.2i	0.226690	−	0.993195i
$880$	−1733.35	+	7594.29i	−0.0663990	+	0.290913i
$881$	34557.5			1.32153			0.660767	−	0.750591i	$-0.270231\pi$
$881$	34557.5			1.32153			0.660767	+	0.750591i	$0.270231\pi$
$882$	3351.45	+	14683.7i	0.127947	+	0.560572i
$883$	−7404.06	−	9284.39i	−0.282182	−	0.353844i	0.620460	−	0.784238i	$-0.286946\pi$
$883$	−7404.06	−	9284.39i	−0.282182	−	0.353844i	−0.902641	+	0.430394i	$0.858375\pi$
$884$	1743.71	+	7639.70i	0.0663432	+	0.290668i
$885$	−6599.04	−	8274.93i	−0.250649	−	0.314304i
$886$	−3155.40	−	1519.56i	−0.119647	−	0.0576192i
$887$	36823.5	+	17733.3i	1.39393	+	0.671279i	0.971919	−	0.235314i	$-0.0756119\pi$
$887$	36823.5	+	17733.3i	1.39393	+	0.671279i	0.422006	+	0.906593i	$0.361326\pi$
$888$	−13519.5	−	16952.9i	−0.510905	−	0.640654i
$889$	3397.02	+	14883.3i	0.128158	+	0.561497i
$890$	−10718.4	−	13440.5i	−0.403688	−	0.506208i
$891$	−2121.51	−	9294.95i	−0.0797680	−	0.349486i
$892$	7888.83			0.296118
$893$	16057.2	−	70351.1i	0.601716	−	2.63629i
$894$	−11988.2	+	52523.8i	−0.448486	+	1.96494i
$895$	15791.9	+	69188.8i	0.589793	+	2.58405i
$896$	2309.80	+	1112.34i	0.0861217	+	0.0414740i
$897$	−10300.3	−	45128.7i	−0.383410	−	1.67983i
$898$	18987.2			0.705581
$899$	−7302.31	+	9156.81i	−0.270907	+	0.339707i
$900$	3100.91	−	13586.0i	0.114848	−	0.503184i
$901$	−48809.0			−1.80473
$902$	−6756.28			−0.249401
$903$	13390.5	+	6448.50i	0.493473	+	0.237644i
$904$	−3488.79	+	15285.4i	−0.128358	+	0.562372i
$905$	−6901.46	+	8654.16i	−0.253494	+	0.317872i
$906$	−2526.14	+	3167.67i	−0.0926327	+	0.116158i
$907$	−11173.2	−	48953.0i	−0.409041	−	1.79213i	−0.588650	−	0.808388i	$-0.700340\pi$
$907$	−11173.2	−	48953.0i	−0.409041	−	1.79213i	0.179609	−	0.983738i	$-0.442517\pi$
$908$	−2561.97			−0.0936364
$909$	659.279	−	826.710i	0.0240560	−	0.0301653i
$910$	−8178.69	+	10255.8i	−0.297935	+	0.373599i
$911$	8729.07	+	38244.6i	0.317461	+	1.39089i	0.841989	+	0.539495i	$0.181385\pi$
$911$	8729.07	+	38244.6i	0.317461	+	1.39089i	−0.524528	+	0.851393i	$0.675758\pi$
$912$	8867.00	−	38848.8i	0.321947	−	1.41054i
$913$	3581.05	−	1724.54i	0.129809	−	0.0625127i
$914$	−4211.15	−	5280.61i	−0.152399	−	0.191102i
$915$	45906.0	+	57564.4i	1.65859	+	2.07980i
$916$	−6954.33			−0.250849
$917$	15986.2			0.575692
$918$	1216.70	−	5330.73i	0.0437442	−	0.191656i
$919$	−19120.5	+	9207.93i	−0.686317	+	0.330513i	−0.744339	−	0.667802i	$-0.767235\pi$
$919$	−19120.5	+	9207.93i	−0.686317	+	0.330513i	0.0580212	+	0.998315i	$0.481521\pi$
$920$	−45834.3	+	57474.3i	−1.64251	+	2.05964i
$921$	31085.9	+	14970.2i	1.11218	+	0.535596i
$922$	1934.28	+	8474.65i	0.0690914	+	0.302709i
$923$	26345.1	−	33035.7i	0.939501	−	1.17810i
$924$	1350.22	−	650.231i	0.0480724	−	0.0231504i
$925$	−26815.3	−	12913.6i	−0.953169	−	0.459022i
$926$	20387.5	−	9818.09i	0.723514	−	0.348426i
$927$	13337.3	−	16724.5i	0.472552	−	0.592561i
$928$	−8599.53	−	4141.32i	−0.304196	−	0.146493i
$929$	−17236.4	+	21613.8i	−0.608727	+	0.763320i	−0.986710	−	0.162493i	$-0.948047\pi$
$929$	−17236.4	+	21613.8i	−0.608727	+	0.763320i	0.377982	+	0.925813i	$0.376618\pi$
$930$	38973.2	+	18768.5i	1.37417	+	0.661767i
$931$	−28928.6	−	36275.4i	−1.01836	−	1.27699i
$932$	10475.2	−	13135.5i	0.368162	−	0.461661i
$933$	56853.7	+	27379.3i	1.99497	+	0.960726i
$934$	1264.92	+	5542.00i	0.0443143	+	0.194154i
$935$	3404.79	+	14917.4i	0.119089	+	0.521764i
$936$	−14359.2	−	18005.9i	−0.501438	−	0.628784i
$937$	6183.11	−	27090.0i	0.215574	−	0.944494i	−0.745130	−	0.666920i	$-0.767612\pi$
$937$	6183.11	−	27090.0i	0.215574	−	0.944494i	0.960704	−	0.277574i	$-0.0895304\pi$
$938$	474.006	−	2076.76i	0.0164998	−	0.0722905i
$939$	−31614.6	+	39643.4i	−1.09872	+	1.37776i
$940$	−5100.90	+	22348.5i	−0.176993	+	0.775455i
$941$	12719.2	−	55726.4i	0.440631	−	1.93053i	0.0833973	−	0.996516i	$-0.473423\pi$
$941$	12719.2	−	55726.4i	0.440631	−	1.93053i	0.357234	−	0.934015i	$-0.383720\pi$
$942$	−9998.06	+	4814.81i	−0.345812	+	0.166534i
$943$	−36131.8	−	17400.2i	−1.24774	−	0.600878i
$944$	1772.17	+	2222.23i	0.0611009	+	0.0766181i
$945$	−4071.05	+	1960.52i	−0.140139	+	0.0674874i
$946$	1759.46	−	7708.70i	0.0604704	−	0.264938i
$947$	−11418.5	+	5498.87i	−0.391819	+	0.188690i	−0.619412	−	0.785066i	$-0.712629\pi$
$947$	−11418.5	+	5498.87i	−0.391819	+	0.188690i	0.227593	+	0.973756i	$0.426914\pi$
$948$	−413.639	+	1812.27i	−0.0141713	+	0.0620884i
$949$	32976.3			1.12798
$950$	−19350.5	−	84780.2i	−0.660857	−	2.89540i
$951$	−16941.5	−	8158.61i	−0.577673	−	0.278193i
$952$	12279.9			0.418061
$953$	−3177.43	−	3984.37i	−0.108003	−	0.135432i	0.724892	−	0.688863i	$-0.241890\pi$
$953$	−3177.43	−	3984.37i	−0.108003	−	0.135432i	−0.832895	+	0.553431i	$0.813318\pi$
$954$	32104.8	−	15460.9i	1.08955	−	0.524700i
$955$	42788.4	+	53654.9i	1.44984	+	1.81804i
$956$	694.652	−	334.527i	0.0235007	−	0.0113173i
$957$	6036.38	−	2906.97i	0.203896	−	0.0981912i
$958$	6260.84	+	27430.5i	0.211147	+	0.925094i
$959$	1647.25	+	2065.58i	0.0554665	+	0.0695528i
$960$	−16367.1	+	71708.9i	−0.550256	+	2.41083i
$961$	−6355.93	+	7970.09i	−0.213351	+	0.267533i
$962$	−11008.5	+	5301.43i	−0.368949	+	0.177677i
$963$	−2231.62	+	2798.36i	−0.0746758	+	0.0936405i
$964$	−5088.81	−	6381.16i	−0.170020	−	0.213199i
$965$	−1385.27			−0.0462108
$966$	−18019.1			−0.600162
$967$	41693.2	+	20078.4i	1.38652	+	0.667712i	0.970379	−	0.241589i	$-0.0776686\pi$
$967$	41693.2	+	20078.4i	1.38652	+	0.667712i	0.416139	+	0.909301i	$0.363383\pi$
$968$	18441.3	+	23124.6i	0.612319	+	0.767823i
$969$	−17417.3	−	76310.2i	−0.577425	−	2.52986i
$970$	421.304	+	1845.86i	0.0139456	+	0.0610998i
$971$	11199.1			0.370129			0.185065	−	0.982726i	$-0.440751\pi$
$971$	11199.1			0.370129			0.185065	+	0.982726i	$0.440751\pi$
$972$	−2914.70	−	12770.1i	−0.0961822	−	0.421402i
$973$	6200.28	−	2985.90i	0.204288	−	0.0983797i
$974$	41782.9	−	20121.6i	1.37455	−	0.661948i
$975$	−63091.0	−	30383.0i	−2.07234	−	0.997985i
$976$	−12328.1	−	15458.9i	−0.404316	−	0.506996i
$977$	−7645.18	+	33495.7i	−0.250349	+	1.09685i	0.680874	+	0.732400i	$0.261600\pi$
$977$	−7645.18	+	33495.7i	−0.250349	+	1.09685i	−0.931223	+	0.364450i	$0.881257\pi$
$978$	−16081.8	−	7744.57i	−0.525806	−	0.253215i
$979$	4455.20			0.145443
$980$	9189.79	+	11523.6i	0.299548	+	0.375621i
$981$	3117.49	−	3909.21i	0.101462	−	0.127229i
$982$	2799.35	+	1348.10i	0.0909684	+	0.0438081i
$983$	39598.9	−	19069.8i	1.28485	−	0.618751i	0.338218	−	0.941068i	$-0.390176\pi$
$983$	39598.9	−	19069.8i	1.28485	−	0.618751i	0.946632	+	0.322317i	$0.104462\pi$
$984$	−44199.2			−1.43193
$985$	37407.7	−	37012.1i	1.21006	−	1.19726i
$986$	13637.4			0.440468
$987$	−20379.7	+	9814.32i	−0.657235	+	0.316508i
$988$	15878.5	+	7646.70i	0.511299	+	0.246229i
$989$	29262.4	−	36693.9i	0.940841	−	1.17978i
$990$	−6964.81	−	8733.59i	−0.223592	−	0.280376i
$991$	35736.6			1.14552			0.572761	−	0.819723i	$-0.305872\pi$
$991$	35736.6			1.14552			0.572761	+	0.819723i	$0.305872\pi$
$992$	14389.0	+	6929.38i	0.460536	+	0.221782i
$993$	−8795.65	+	38536.2i	−0.281089	+	1.23153i
$994$	−10255.4	−	12859.9i	−0.327246	−	0.410353i
$995$	−82859.0	−	39902.8i	−2.64001	−	1.27136i
$996$	5819.42	−	2802.48i	0.185136	−	0.0891567i
$997$	3982.93	−	1918.08i	0.126520	−	0.0609290i	−0.369553	−	0.929210i	$-0.620489\pi$
$997$	3982.93	−	1918.08i	0.126520	−	0.0609290i	0.496073	+	0.868281i	$0.334775\pi$
$998$	−3151.67	−	13808.4i	−0.0999644	−	0.437973i
$999$	−4208.83			−0.133295

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	197.4.d.a.36.16	✓	294
197.104	even	7	inner	197.4.d.a.104.16	yes	294

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
197.4.d.a.36.16	✓	294	1.1	even	1	trivial
197.4.d.a.104.16	yes	294	197.104	even	7	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:	\( N \)	\(=\)	\( 197 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	197.d (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-2.08511 + 1.00413i) q^{2} +(-6.32083 - 3.04395i) q^{3} +(-1.64854 + 2.06720i) q^{4} +(11.8661 + 14.8797i) q^{5} +16.2361 q^{6} +(6.37684 + 3.07092i) q^{7} +(5.48146 - 24.0158i) q^{8} +(13.8531 + 17.3712i) q^{9} +(-39.6833 - 19.1105i) q^{10} +(10.2843 - 4.95266i) q^{11} +(16.7126 - 8.04835i) q^{12} +(-9.36335 - 41.0235i) q^{13} -16.3800 q^{14} +(-29.7109 - 130.172i) q^{15} +(7.97886 + 34.9577i) q^{16} +(43.9141 + 55.0665i) q^{17} +(-46.3281 - 22.3104i) q^{18} +158.406 q^{19} -50.3210 q^{20} +(-30.9592 - 38.8216i) q^{21} +(-16.4707 + 20.6536i) q^{22} +(-141.275 + 68.0345i) q^{23} +(-107.750 + 135.115i) q^{24} +(-52.7841 + 231.262i) q^{25} +(60.7167 + 76.1364i) q^{26} +(7.46435 + 32.7035i) q^{27} +(-16.8606 + 8.11966i) q^{28} +(-75.3785 + 36.3004i) q^{29} +(192.660 + 241.588i) q^{30} +(126.126 - 60.7389i) q^{31} +(71.1307 + 89.1950i) q^{32} -80.0810 q^{33} +(-146.860 - 70.7239i) q^{34} +(29.9741 + 131.325i) q^{35} -58.7469 q^{36} +(-27.9197 + 122.324i) q^{37} +(-330.293 + 159.061i) q^{38} +(-65.6895 + 287.805i) q^{39} +(422.391 - 203.413i) q^{40} +(159.461 + 199.957i) q^{41} +(103.535 + 49.8600i) q^{42} +(-269.672 + 129.867i) q^{43} +(-6.71591 + 29.4243i) q^{44} +(-94.0951 + 412.258i) q^{45} +(226.258 - 283.718i) q^{46} +(101.367 - 444.119i) q^{47} +(55.9764 - 245.249i) q^{48} +(-182.624 - 229.003i) q^{49} +(-122.158 - 535.209i) q^{50} +(-109.954 - 481.738i) q^{51} +(100.240 + 48.2728i) q^{52} +(-432.071 + 541.800i) q^{53} +(-48.4027 - 60.6950i) q^{54} +(195.729 + 94.2580i) q^{55} +(108.705 - 136.312i) q^{56} +(-1001.26 - 482.180i) q^{57} +(120.722 - 151.380i) q^{58} +(71.4194 - 34.3938i) q^{59} +(318.070 + 153.175i) q^{60} +(-496.828 + 239.260i) q^{61} +(-201.995 + 253.294i) q^{62} +(34.9931 + 153.315i) q^{63} +(-496.325 - 239.017i) q^{64} +(499.310 - 626.114i) q^{65} +(166.977 - 80.4121i) q^{66} +(-28.9381 + 126.786i) q^{67} -186.227 q^{68} +1100.07 q^{69} +(-194.367 - 243.729i) q^{70} +(626.094 + 785.097i) q^{71} +(493.118 - 237.473i) q^{72} +(-174.386 + 764.035i) q^{73} +(-64.6145 - 283.094i) q^{74} +(1037.59 - 1301.10i) q^{75} +(-261.138 + 327.456i) q^{76} +80.7905 q^{77} +(-152.025 - 666.064i) q^{78} +(-62.4808 + 78.3485i) q^{79} +(-425.480 + 533.535i) q^{80} +(185.858 - 814.295i) q^{81} +(-533.277 - 256.813i) q^{82} +348.206 q^{83} +131.289 q^{84} +(-298.281 + 1306.85i) q^{85} +(431.890 - 541.573i) q^{86} +586.951 q^{87} +(-62.5693 - 274.134i) q^{88} +(351.651 + 169.346i) q^{89} +(-217.764 - 954.085i) q^{90} +(66.2715 - 290.355i) q^{91} +(92.2562 - 404.201i) q^{92} -982.105 q^{93} +(234.594 + 1027.82i) q^{94} +(1879.67 + 2357.03i) q^{95} +(-178.100 - 780.305i) q^{96} +(-26.8013 - 33.6078i) q^{97} +(610.739 + 294.116i) q^{98} +(228.503 + 110.041i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 294 q - 5 q^{2} - 5 q^{3} - 161 q^{4} - 5 q^{5} + 58 q^{6} + 15 q^{7} + 115 q^{8} - 446 q^{9} - 211 q^{10} + 93 q^{11} - 47 q^{12} + 23 q^{13} + 656 q^{14} + 343 q^{15} - 1505 q^{16} - 17 q^{17} + 132 q^{18}+ \cdots + 4526 q^{99}+O(q^{100}) \) 294 * q - 5 * q^2 - 5 * q^3 - 161 * q^4 - 5 * q^5 + 58 * q^6 + 15 * q^7 + 115 * q^8 - 446 * q^9 - 211 * q^10 + 93 * q^11 - 47 * q^12 + 23 * q^13 + 656 * q^14 + 343 * q^15 - 1505 * q^16 - 17 * q^17 + 132 * q^18 + 512 * q^19 + 148 * q^20 - 47 * q^21 - 845 * q^22 - 143 * q^23 + 775 * q^24 - 952 * q^25 + 39 * q^26 + 1159 * q^27 - 130 * q^28 - 169 * q^29 + 1048 * q^30 - 269 * q^31 - 39 * q^32 + 234 * q^33 + 761 * q^34 + 949 * q^35 + 15930 * q^36 + 715 * q^37 - 987 * q^38 - 417 * q^39 - 3303 * q^40 + 65 * q^41 - 2334 * q^42 + 581 * q^43 - 1751 * q^44 - 2497 * q^45 + 13 * q^46 - 361 * q^47 - 3995 * q^48 - 3728 * q^49 + 3671 * q^50 + 213 * q^51 + 4036 * q^52 - 47 * q^53 + 1358 * q^54 - 4339 * q^55 + 680 * q^56 - 2470 * q^57 + 1483 * q^58 - 3375 * q^59 + 1549 * q^60 + 805 * q^61 - 1149 * q^62 - 4839 * q^63 - 7061 * q^64 + 457 * q^65 + 1224 * q^66 + 2261 * q^67 + 1216 * q^68 - 4378 * q^69 + 1360 * q^70 - 1687 * q^71 + 936 * q^72 + 3075 * q^73 - 601 * q^74 + 3549 * q^75 - 5960 * q^76 - 4318 * q^77 - 11681 * q^78 + 2973 * q^79 - 1671 * q^80 - 4288 * q^81 + 2197 * q^82 + 9380 * q^83 - 7416 * q^84 - 5171 * q^85 - 3868 * q^86 + 1826 * q^87 - 3252 * q^88 - 79 * q^89 + 19791 * q^90 + 8303 * q^91 + 8077 * q^92 + 2118 * q^93 + 6319 * q^94 - 3280 * q^95 - 13752 * q^96 - 17 * q^97 - 4434 * q^98 + 4526 * q^99

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