Properties

Label 403.2.bs.a.4.14
Level 403
Weight 2
Character 403.4
Analytic conductor 3.218
Analytic rank 0
Dimension 288
CM No

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Newspace parameters

Level: \( N \) = \( 403 = 13 \cdot 31 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 403.bs (of order \(30\) and degree \(8\))

Newform invariants

Self dual: No
Analytic conductor: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(288\)
Relative dimension: \(36\) over \(\Q(\zeta_{30})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 4.14
Character \(\chi\) = 403.4
Dual form 403.2.bs.a.101.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.129772 + 0.610527i) q^{2} +(-0.324888 - 0.360825i) q^{3} +(1.47119 + 0.655015i) q^{4} -0.658726i q^{5} +(0.262455 - 0.151528i) q^{6} +(0.662294 - 1.48754i) q^{7} +(-1.32458 + 1.82312i) q^{8} +(0.288943 - 2.74911i) q^{9} +O(q^{10})\) \(q+(-0.129772 + 0.610527i) q^{2} +(-0.324888 - 0.360825i) q^{3} +(1.47119 + 0.655015i) q^{4} -0.658726i q^{5} +(0.262455 - 0.151528i) q^{6} +(0.662294 - 1.48754i) q^{7} +(-1.32458 + 1.82312i) q^{8} +(0.288943 - 2.74911i) q^{9} +(0.402170 + 0.0854839i) q^{10} +(5.05103 - 0.530885i) q^{11} +(-0.241626 - 0.743648i) q^{12} +(-2.95551 - 2.06518i) q^{13} +(0.822235 + 0.597389i) q^{14} +(-0.237685 + 0.214012i) q^{15} +(1.21398 + 1.34827i) q^{16} +(-0.107385 + 1.02170i) q^{17} +(1.64091 + 0.533164i) q^{18} +(0.567301 + 0.510800i) q^{19} +(0.431475 - 0.969109i) q^{20} +(-0.751913 + 0.244311i) q^{21} +(-0.331361 + 3.15269i) q^{22} +(0.219261 - 0.0976215i) q^{23} +(1.08817 - 0.114371i) q^{24} +4.56608 q^{25} +(1.64439 - 1.53642i) q^{26} +(-2.26425 + 1.64507i) q^{27} +(1.94872 - 1.75463i) q^{28} +(-2.09348 - 0.444983i) q^{29} +(-0.0998157 - 0.172886i) q^{30} +(5.43726 + 1.19842i) q^{31} +(-4.88387 + 2.81971i) q^{32} +(-1.83258 - 1.65006i) q^{33} +(-0.609840 - 0.198149i) q^{34} +(-0.979879 - 0.436270i) q^{35} +(2.22580 - 3.85520i) q^{36} +(-1.53842 - 0.888208i) q^{37} +(-0.385477 + 0.280065i) q^{38} +(0.215041 + 1.73738i) q^{39} +(1.20094 + 0.872532i) q^{40} +(-1.66059 + 7.81245i) q^{41} +(-0.0515818 - 0.490768i) q^{42} +(4.29507 - 4.77016i) q^{43} +(7.77875 + 2.52747i) q^{44} +(-1.81091 - 0.190334i) q^{45} +(0.0311467 + 0.146534i) q^{46} +(-9.11802 - 2.96263i) q^{47} +(0.0920789 - 0.876072i) q^{48} +(2.90978 + 3.23164i) q^{49} +(-0.592547 + 2.78772i) q^{50} +(0.403543 - 0.293191i) q^{51} +(-2.99538 - 4.97417i) q^{52} +(8.85394 + 6.43276i) q^{53} +(-0.710527 - 1.59587i) q^{54} +(-0.349707 - 3.32724i) q^{55} +(1.83470 + 3.17780i) q^{56} -0.370649i q^{57} +(0.543349 - 1.22038i) q^{58} +(2.58037 + 12.1397i) q^{59} +(-0.489860 + 0.159165i) q^{60} +(-7.30070 - 12.6452i) q^{61} +(-1.43727 + 3.16408i) q^{62} +(-3.89804 - 2.25053i) q^{63} +(0.0335616 + 0.103292i) q^{64} +(-1.36039 + 1.94687i) q^{65} +(1.24522 - 0.904708i) q^{66} +(-10.8793 - 6.28118i) q^{67} +(-0.827212 + 1.43277i) q^{68} +(-0.106460 - 0.0473989i) q^{69} +(0.393515 - 0.541627i) q^{70} +(-2.53248 - 0.266175i) q^{71} +(4.62923 + 4.16818i) q^{72} +(3.80354 + 5.23513i) q^{73} +(0.741918 - 0.823984i) q^{74} +(-1.48347 - 1.64756i) q^{75} +(0.500024 + 1.12307i) q^{76} +(2.55556 - 7.86520i) q^{77} +(-1.08862 - 0.0941737i) q^{78} +(-8.00324 - 5.81469i) q^{79} +(0.888137 - 0.799682i) q^{80} +(-6.78233 - 1.44163i) q^{81} +(-4.55422 - 2.02767i) q^{82} +(-13.8860 + 4.51183i) q^{83} +(-1.26623 - 0.133086i) q^{84} +(0.673020 + 0.0707372i) q^{85} +(2.35493 + 3.24129i) q^{86} +(0.519586 + 0.899950i) q^{87} +(-5.72260 + 9.91184i) q^{88} +(-13.8329 + 1.45389i) q^{89} +(0.351209 - 1.08091i) q^{90} +(-5.02945 + 3.02867i) q^{91} +0.386518 q^{92} +(-1.33408 - 2.35125i) q^{93} +(2.99202 - 5.18234i) q^{94} +(0.336477 - 0.373696i) q^{95} +(2.60413 + 0.846135i) q^{96} +(-0.893245 + 2.00626i) q^{97} +(-2.35061 + 1.35713i) q^{98} -14.0392i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 288q - 9q^{2} - q^{3} - 39q^{4} - 42q^{6} - 15q^{7} + 31q^{9} + O(q^{10}) \) \( 288q - 9q^{2} - q^{3} - 39q^{4} - 42q^{6} - 15q^{7} + 31q^{9} + 3q^{10} - 18q^{11} - 46q^{12} - q^{13} - 32q^{14} + 18q^{15} + 21q^{16} - 15q^{17} - 15q^{19} + 51q^{20} - 10q^{22} - 4q^{23} - 51q^{24} - 296q^{25} - 6q^{26} - 52q^{27} + 21q^{28} + q^{29} + 60q^{30} + 138q^{32} + 69q^{33} - 10q^{35} + 128q^{36} - 18q^{37} + 32q^{38} - 14q^{39} + 60q^{40} - 15q^{41} - 49q^{42} - 36q^{43} + 6q^{45} - 69q^{46} + 21q^{48} - 23q^{49} + 117q^{50} + 8q^{51} + 26q^{52} - 48q^{53} + 75q^{54} + 46q^{55} - 98q^{56} - 21q^{58} - 105q^{59} - 74q^{61} - 3q^{62} - 90q^{63} + 90q^{64} + 89q^{65} - 8q^{66} + 6q^{67} - 182q^{68} + 29q^{69} + 3q^{71} - 183q^{72} - 53q^{74} - 38q^{75} + 144q^{76} - 128q^{78} - 72q^{79} - 72q^{80} + 11q^{81} - 11q^{82} - 33q^{84} + 72q^{85} - 18q^{87} - 14q^{88} + 81q^{89} - 34q^{90} - 48q^{91} + 8q^{92} + 72q^{93} - 6q^{94} + 141q^{97} + 96q^{98} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{3}{5}\right)\)

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 \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.129772 + 0.610527i −0.0917624 + 0.431708i 0.908152 + 0.418640i \(0.137493\pi\)
−0.999915 + 0.0130679i \(0.995840\pi\)
\(3\) −0.324888 0.360825i −0.187574 0.208322i 0.642022 0.766687i \(-0.278096\pi\)
−0.829596 + 0.558364i \(0.811429\pi\)
\(4\) 1.47119 + 0.655015i 0.735594 + 0.327508i
\(5\) 0.658726i 0.294591i −0.989093 0.147296i \(-0.952943\pi\)
0.989093 0.147296i \(-0.0470568\pi\)
\(6\) 0.262455 0.151528i 0.107147 0.0618612i
\(7\) 0.662294 1.48754i 0.250324 0.562236i −0.744055 0.668118i \(-0.767100\pi\)
0.994379 + 0.105882i \(0.0337666\pi\)
\(8\) −1.32458 + 1.82312i −0.468308 + 0.644571i
\(9\) 0.288943 2.74911i 0.0963144 0.916370i
\(10\) 0.402170 + 0.0854839i 0.127177 + 0.0270324i
\(11\) 5.05103 0.530885i 1.52294 0.160068i 0.694235 0.719749i \(-0.255743\pi\)
0.828708 + 0.559681i \(0.189076\pi\)
\(12\) −0.241626 0.743648i −0.0697514 0.214673i
\(13\) −2.95551 2.06518i −0.819710 0.572778i
\(14\) 0.822235 + 0.597389i 0.219752 + 0.159659i
\(15\) −0.237685 + 0.214012i −0.0613700 + 0.0552578i
\(16\) 1.21398 + 1.34827i 0.303496 + 0.337066i
\(17\) −0.107385 + 1.02170i −0.0260447 + 0.247799i 0.973752 + 0.227613i \(0.0730922\pi\)
−0.999796 + 0.0201851i \(0.993574\pi\)
\(18\) 1.64091 + 0.533164i 0.386766 + 0.125668i
\(19\) 0.567301 + 0.510800i 0.130148 + 0.117186i 0.731634 0.681697i \(-0.238758\pi\)
−0.601486 + 0.798883i \(0.705425\pi\)
\(20\) 0.431475 0.969109i 0.0964808 0.216699i
\(21\) −0.751913 + 0.244311i −0.164081 + 0.0533131i
\(22\) −0.331361 + 3.15269i −0.0706463 + 0.672155i
\(23\) 0.219261 0.0976215i 0.0457192 0.0203555i −0.383750 0.923437i \(-0.625367\pi\)
0.429469 + 0.903082i \(0.358701\pi\)
\(24\) 1.08817 0.114371i 0.222121 0.0233459i
\(25\) 4.56608 0.913216
\(26\) 1.64439 1.53642i 0.322492 0.301316i
\(27\) −2.26425 + 1.64507i −0.435755 + 0.316594i
\(28\) 1.94872 1.75463i 0.368273 0.331595i
\(29\) −2.09348 0.444983i −0.388750 0.0826313i 0.00939050 0.999956i \(-0.497011\pi\)
−0.398140 + 0.917325i \(0.630344\pi\)
\(30\) −0.0998157 0.172886i −0.0182238 0.0315645i
\(31\) 5.43726 + 1.19842i 0.976561 + 0.215242i
\(32\) −4.88387 + 2.81971i −0.863355 + 0.498458i
\(33\) −1.83258 1.65006i −0.319011 0.287239i
\(34\) −0.609840 0.198149i −0.104587 0.0339823i
\(35\) −0.979879 0.436270i −0.165630 0.0737431i
\(36\) 2.22580 3.85520i 0.370966 0.642533i
\(37\) −1.53842 0.888208i −0.252915 0.146020i 0.368183 0.929753i \(-0.379980\pi\)
−0.621098 + 0.783733i \(0.713313\pi\)
\(38\) −0.385477 + 0.280065i −0.0625326 + 0.0454326i
\(39\) 0.215041 + 1.73738i 0.0344341 + 0.278203i
\(40\) 1.20094 + 0.872532i 0.189885 + 0.137959i
\(41\) −1.66059 + 7.81245i −0.259340 + 1.22010i 0.634929 + 0.772570i \(0.281029\pi\)
−0.894269 + 0.447529i \(0.852304\pi\)
\(42\) −0.0515818 0.490768i −0.00795924 0.0757271i
\(43\) 4.29507 4.77016i 0.654992 0.727442i −0.320556 0.947230i \(-0.603870\pi\)
0.975548 + 0.219787i \(0.0705364\pi\)
\(44\) 7.77875 + 2.52747i 1.17269 + 0.381030i
\(45\) −1.81091 0.190334i −0.269954 0.0283734i
\(46\) 0.0311467 + 0.146534i 0.00459233 + 0.0216052i
\(47\) −9.11802 2.96263i −1.33000 0.432143i −0.444083 0.895986i \(-0.646470\pi\)
−0.885918 + 0.463842i \(0.846470\pi\)
\(48\) 0.0920789 0.876072i 0.0132904 0.126450i
\(49\) 2.90978 + 3.23164i 0.415683 + 0.461663i
\(50\) −0.592547 + 2.78772i −0.0837989 + 0.394243i
\(51\) 0.403543 0.293191i 0.0565073 0.0410550i
\(52\) −2.99538 4.97417i −0.415385 0.689794i
\(53\) 8.85394 + 6.43276i 1.21618 + 0.883608i 0.995777 0.0918009i \(-0.0292623\pi\)
0.220404 + 0.975409i \(0.429262\pi\)
\(54\) −0.710527 1.59587i −0.0966904 0.217170i
\(55\) −0.349707 3.32724i −0.0471545 0.448645i
\(56\) 1.83470 + 3.17780i 0.245172 + 0.424651i
\(57\) 0.370649i 0.0490937i
\(58\) 0.543349 1.22038i 0.0713452 0.160244i
\(59\) 2.58037 + 12.1397i 0.335936 + 1.58045i 0.744435 + 0.667695i \(0.232719\pi\)
−0.408499 + 0.912759i \(0.633948\pi\)
\(60\) −0.489860 + 0.159165i −0.0632407 + 0.0205482i
\(61\) −7.30070 12.6452i −0.934758 1.61905i −0.775064 0.631883i \(-0.782282\pi\)
−0.159694 0.987167i \(-0.551051\pi\)
\(62\) −1.43727 + 3.16408i −0.182533 + 0.401838i
\(63\) −3.89804 2.25053i −0.491107 0.283541i
\(64\) 0.0335616 + 0.103292i 0.00419520 + 0.0129115i
\(65\) −1.36039 + 1.94687i −0.168735 + 0.241479i
\(66\) 1.24522 0.904708i 0.153276 0.111362i
\(67\) −10.8793 6.28118i −1.32912 0.767368i −0.343957 0.938985i \(-0.611767\pi\)
−0.985164 + 0.171617i \(0.945101\pi\)
\(68\) −0.827212 + 1.43277i −0.100314 + 0.173749i
\(69\) −0.106460 0.0473989i −0.0128162 0.00570616i
\(70\) 0.393515 0.541627i 0.0470341 0.0647369i
\(71\) −2.53248 0.266175i −0.300550 0.0315891i −0.0469469 0.998897i \(-0.514949\pi\)
−0.253603 + 0.967308i \(0.581616\pi\)
\(72\) 4.62923 + 4.16818i 0.545560 + 0.491225i
\(73\) 3.80354 + 5.23513i 0.445171 + 0.612726i 0.971351 0.237647i \(-0.0763763\pi\)
−0.526180 + 0.850373i \(0.676376\pi\)
\(74\) 0.741918 0.823984i 0.0862462 0.0957862i
\(75\) −1.48347 1.64756i −0.171296 0.190243i
\(76\) 0.500024 + 1.12307i 0.0573567 + 0.128825i
\(77\) 2.55556 7.86520i 0.291233 0.896322i
\(78\) −1.08862 0.0941737i −0.123262 0.0106631i
\(79\) −8.00324 5.81469i −0.900435 0.654204i 0.0381430 0.999272i \(-0.487856\pi\)
−0.938578 + 0.345068i \(0.887856\pi\)
\(80\) 0.888137 0.799682i 0.0992968 0.0894072i
\(81\) −6.78233 1.44163i −0.753592 0.160181i
\(82\) −4.55422 2.02767i −0.502929 0.223918i
\(83\) −13.8860 + 4.51183i −1.52418 + 0.495237i −0.946961 0.321350i \(-0.895864\pi\)
−0.577223 + 0.816587i \(0.695864\pi\)
\(84\) −1.26623 0.133086i −0.138157 0.0145209i
\(85\) 0.673020 + 0.0707372i 0.0729992 + 0.00767253i
\(86\) 2.35493 + 3.24129i 0.253939 + 0.349517i
\(87\) 0.519586 + 0.899950i 0.0557055 + 0.0964848i
\(88\) −5.72260 + 9.91184i −0.610031 + 1.05661i
\(89\) −13.8329 + 1.45389i −1.46628 + 0.154112i −0.803771 0.594939i \(-0.797176\pi\)
−0.662512 + 0.749052i \(0.730509\pi\)
\(90\) 0.351209 1.08091i 0.0370207 0.113938i
\(91\) −5.02945 + 3.02867i −0.527230 + 0.317491i
\(92\) 0.386518 0.0402973
\(93\) −1.33408 2.35125i −0.138338 0.243813i
\(94\) 2.99202 5.18234i 0.308604 0.534517i
\(95\) 0.336477 0.373696i 0.0345218 0.0383404i
\(96\) 2.60413 + 0.846135i 0.265783 + 0.0863582i
\(97\) −0.893245 + 2.00626i −0.0906953 + 0.203705i −0.953198 0.302348i \(-0.902229\pi\)
0.862502 + 0.506053i \(0.168896\pi\)
\(98\) −2.35061 + 1.35713i −0.237448 + 0.137090i
\(99\) 14.0392i 1.41100i
\(100\) 6.71756 + 2.99085i 0.671756 + 0.299085i
\(101\) −0.631089 + 0.280979i −0.0627957 + 0.0279585i −0.437894 0.899027i \(-0.644276\pi\)
0.375098 + 0.926985i \(0.377609\pi\)
\(102\) 0.126633 + 0.284422i 0.0125385 + 0.0281620i
\(103\) −1.28737 3.96212i −0.126848 0.390399i 0.867385 0.497638i \(-0.165799\pi\)
−0.994233 + 0.107239i \(0.965799\pi\)
\(104\) 7.67987 2.65276i 0.753073 0.260125i
\(105\) 0.160934 + 0.495304i 0.0157056 + 0.0483367i
\(106\) −5.07637 + 4.57078i −0.493060 + 0.443953i
\(107\) −5.92767 + 2.63917i −0.573049 + 0.255138i −0.672738 0.739881i \(-0.734882\pi\)
0.0996889 + 0.995019i \(0.468215\pi\)
\(108\) −4.40868 + 0.937094i −0.424226 + 0.0901719i
\(109\) 5.98724 + 1.94537i 0.573473 + 0.186333i 0.581375 0.813636i \(-0.302515\pi\)
−0.00790121 + 0.999969i \(0.502515\pi\)
\(110\) 2.07676 + 0.218276i 0.198011 + 0.0208118i
\(111\) 0.179327 + 0.843669i 0.0170210 + 0.0800775i
\(112\) 2.80961 0.912898i 0.265483 0.0862607i
\(113\) 6.29778 + 2.80395i 0.592445 + 0.263774i 0.680983 0.732299i \(-0.261553\pi\)
−0.0885377 + 0.996073i \(0.528219\pi\)
\(114\) 0.226291 + 0.0480997i 0.0211941 + 0.00450495i
\(115\) −0.0643058 0.144433i −0.00599654 0.0134685i
\(116\) −2.78843 2.02591i −0.258899 0.188101i
\(117\) −6.53139 + 7.52829i −0.603827 + 0.695991i
\(118\) −7.74647 −0.713121
\(119\) 1.44870 + 0.836405i 0.132802 + 0.0766731i
\(120\) −0.0753391 0.716804i −0.00687749 0.0654349i
\(121\) 14.4714 3.07600i 1.31559 0.279636i
\(122\) 8.66765 2.81629i 0.784732 0.254975i
\(123\) 3.35843 1.93899i 0.302820 0.174833i
\(124\) 7.21425 + 5.32458i 0.647859 + 0.478162i
\(125\) 6.30142i 0.563616i
\(126\) 1.87987 2.08780i 0.167472 0.185996i
\(127\) −8.61680 9.56993i −0.764618 0.849194i 0.227594 0.973756i \(-0.426914\pi\)
−0.992212 + 0.124562i \(0.960247\pi\)
\(128\) −11.2845 + 1.18604i −0.997414 + 0.104832i
\(129\) −3.11661 −0.274402
\(130\) −1.01208 1.08320i −0.0887650 0.0950031i
\(131\) 8.82497 6.41171i 0.771041 0.560194i −0.131236 0.991351i \(-0.541895\pi\)
0.902277 + 0.431157i \(0.141895\pi\)
\(132\) −1.61525 3.62792i −0.140590 0.315770i
\(133\) 1.13555 0.505581i 0.0984650 0.0438394i
\(134\) 5.24666 5.82700i 0.453242 0.503377i
\(135\) 1.08365 + 1.49152i 0.0932659 + 0.128369i
\(136\) −1.72044 1.54909i −0.147527 0.132834i
\(137\) 3.34135 + 15.7198i 0.285471 + 1.34303i 0.853958 + 0.520342i \(0.174196\pi\)
−0.568487 + 0.822692i \(0.692471\pi\)
\(138\) 0.0427538 0.0588456i 0.00363944 0.00500927i
\(139\) −11.6033 + 2.46636i −0.984179 + 0.209194i −0.671775 0.740755i \(-0.734468\pi\)
−0.312404 + 0.949949i \(0.601134\pi\)
\(140\) −1.15582 1.28367i −0.0976848 0.108490i
\(141\) 1.89335 + 4.25253i 0.159449 + 0.358128i
\(142\) 0.491151 1.51161i 0.0412165 0.126851i
\(143\) −16.0247 8.86226i −1.34006 0.741100i
\(144\) 4.05730 2.94780i 0.338109 0.245650i
\(145\) −0.293122 + 1.37903i −0.0243424 + 0.114522i
\(146\) −3.68978 + 1.64280i −0.305369 + 0.135959i
\(147\) 0.220703 2.09984i 0.0182032 0.173192i
\(148\) −1.68152 2.31441i −0.138220 0.190243i
\(149\) −1.28858 + 0.743960i −0.105564 + 0.0609476i −0.551853 0.833942i \(-0.686079\pi\)
0.446288 + 0.894889i \(0.352746\pi\)
\(150\) 1.19839 0.691891i 0.0978481 0.0564926i
\(151\) 1.27805 + 1.75909i 0.104006 + 0.143153i 0.857848 0.513904i \(-0.171801\pi\)
−0.753841 + 0.657057i \(0.771801\pi\)
\(152\) −1.68268 + 0.357665i −0.136484 + 0.0290105i
\(153\) 2.77774 + 0.590426i 0.224567 + 0.0477331i
\(154\) 4.47028 + 2.58092i 0.360225 + 0.207976i
\(155\) 0.789428 3.58166i 0.0634084 0.287686i
\(156\) −0.821642 + 2.69686i −0.0657840 + 0.215922i
\(157\) 4.92416 + 15.1550i 0.392991 + 1.20950i 0.930515 + 0.366253i \(0.119359\pi\)
−0.537525 + 0.843248i \(0.680641\pi\)
\(158\) 4.58862 4.13161i 0.365051 0.328694i
\(159\) −0.555439 5.28465i −0.0440492 0.419100i
\(160\) 1.85741 + 3.21713i 0.146841 + 0.254337i
\(161\) 0.390814i 0.0308004i
\(162\) 1.76031 3.95372i 0.138303 0.310633i
\(163\) 15.8336 + 1.66417i 1.24018 + 0.130348i 0.701813 0.712362i \(-0.252374\pi\)
0.538368 + 0.842710i \(0.319041\pi\)
\(164\) −7.56031 + 10.4059i −0.590361 + 0.812562i
\(165\) −1.08694 + 1.20717i −0.0846180 + 0.0939778i
\(166\) −0.952588 9.06327i −0.0739352 0.703446i
\(167\) −2.49155 + 11.7218i −0.192802 + 0.907061i 0.770249 + 0.637743i \(0.220132\pi\)
−0.963051 + 0.269318i \(0.913202\pi\)
\(168\) 0.550556 1.69444i 0.0424763 0.130729i
\(169\) 4.47005 + 12.2073i 0.343850 + 0.939025i
\(170\) −0.130526 + 0.401717i −0.0100109 + 0.0308103i
\(171\) 1.56816 1.41198i 0.119920 0.107977i
\(172\) 9.44338 4.20446i 0.720051 0.320587i
\(173\) 22.7474 4.83510i 1.72945 0.367606i 0.767546 0.640994i \(-0.221478\pi\)
0.961904 + 0.273388i \(0.0881442\pi\)
\(174\) −0.616872 + 0.200434i −0.0467649 + 0.0151948i
\(175\) 3.02409 6.79221i 0.228600 0.513443i
\(176\) 6.84764 + 6.16565i 0.516161 + 0.464753i
\(177\) 3.54197 4.87511i 0.266231 0.366436i
\(178\) 0.907473 8.63403i 0.0680179 0.647148i
\(179\) −1.64431 15.6446i −0.122902 1.16933i −0.865963 0.500109i \(-0.833293\pi\)
0.743061 0.669224i \(-0.233373\pi\)
\(180\) −2.53952 1.46619i −0.189284 0.109283i
\(181\) 12.5101 0.929869 0.464934 0.885345i \(-0.346078\pi\)
0.464934 + 0.885345i \(0.346078\pi\)
\(182\) −1.19641 3.46365i −0.0886835 0.256743i
\(183\) −2.19079 + 6.74255i −0.161948 + 0.498423i
\(184\) −0.112452 + 0.529047i −0.00829010 + 0.0390019i
\(185\) −0.585085 + 1.01340i −0.0430163 + 0.0745064i
\(186\) 1.60863 0.509369i 0.117950 0.0373488i
\(187\) 5.21764i 0.381552i
\(188\) −11.4738 10.3310i −0.836810 0.753467i
\(189\) 0.947508 + 4.45767i 0.0689211 + 0.324248i
\(190\) 0.184486 + 0.253923i 0.0133840 + 0.0184215i
\(191\) 9.63881 + 16.6949i 0.697440 + 1.20800i 0.969351 + 0.245679i \(0.0790109\pi\)
−0.271911 + 0.962322i \(0.587656\pi\)
\(192\) 0.0263666 0.0456683i 0.00190284 0.00329582i
\(193\) 8.28006 0.870270i 0.596012 0.0626434i 0.198281 0.980145i \(-0.436464\pi\)
0.397731 + 0.917502i \(0.369798\pi\)
\(194\) −1.10896 0.805706i −0.0796187 0.0578464i
\(195\) 1.14445 0.141653i 0.0819560 0.0101440i
\(196\) 2.16406 + 6.66030i 0.154576 + 0.475736i
\(197\) −6.75441 + 0.709917i −0.481232 + 0.0505795i −0.342039 0.939686i \(-0.611117\pi\)
−0.139193 + 0.990265i \(0.544451\pi\)
\(198\) 8.57134 + 1.82189i 0.609138 + 0.129476i
\(199\) 1.70296 0.361974i 0.120719 0.0256597i −0.147156 0.989113i \(-0.547012\pi\)
0.267875 + 0.963454i \(0.413679\pi\)
\(200\) −6.04812 + 8.32452i −0.427666 + 0.588632i
\(201\) 1.26816 + 5.96622i 0.0894490 + 0.420824i
\(202\) −0.0896479 0.421760i −0.00630761 0.0296750i
\(203\) −2.04843 + 2.81942i −0.143772 + 0.197885i
\(204\) 0.785732 0.167013i 0.0550123 0.0116932i
\(205\) 5.14626 + 1.09387i 0.359430 + 0.0763993i
\(206\) 2.58604 0.271804i 0.180178 0.0189375i
\(207\) −0.205018 0.630981i −0.0142497 0.0438562i
\(208\) −0.803525 6.49191i −0.0557144 0.450133i
\(209\) 3.13663 + 2.27889i 0.216965 + 0.157634i
\(210\) −0.323281 + 0.0339782i −0.0223085 + 0.00234472i
\(211\) −12.9645 + 22.4551i −0.892511 + 1.54588i −0.0556568 + 0.998450i \(0.517725\pi\)
−0.836855 + 0.547425i \(0.815608\pi\)
\(212\) 8.81225 + 15.2633i 0.605228 + 1.04829i
\(213\) 0.726732 + 1.00026i 0.0497948 + 0.0685367i
\(214\) −0.842041 3.96149i −0.0575607 0.270802i
\(215\) −3.14223 2.82927i −0.214298 0.192955i
\(216\) 6.30702i 0.429138i
\(217\) 5.38375 7.29442i 0.365473 0.495178i
\(218\) −1.96468 + 3.40292i −0.133065 + 0.230475i
\(219\) 0.653239 3.07325i 0.0441418 0.207671i
\(220\) 1.66491 5.12407i 0.112248 0.345464i
\(221\) 2.42737 2.79787i 0.163283 0.188205i
\(222\) −0.538355 −0.0361320
\(223\) −3.13036 1.80731i −0.209624 0.121027i 0.391512 0.920173i \(-0.371952\pi\)
−0.601137 + 0.799146i \(0.705285\pi\)
\(224\) 0.959856 + 9.13242i 0.0641331 + 0.610185i
\(225\) 1.31934 12.5527i 0.0879558 0.836844i
\(226\) −2.52916 + 3.48109i −0.168237 + 0.231559i
\(227\) −5.96890 5.37442i −0.396170 0.356713i 0.446837 0.894615i \(-0.352550\pi\)
−0.843007 + 0.537902i \(0.819217\pi\)
\(228\) 0.242781 0.545295i 0.0160786 0.0361130i
\(229\) −23.9079 + 7.76816i −1.57988 + 0.513335i −0.962026 0.272957i \(-0.911998\pi\)
−0.617855 + 0.786292i \(0.711998\pi\)
\(230\) 0.0965254 0.0205171i 0.00636470 0.00135286i
\(231\) −3.66823 + 1.63320i −0.241352 + 0.107457i
\(232\) 3.58423 3.22726i 0.235316 0.211880i
\(233\) −1.28779 + 3.96341i −0.0843658 + 0.259651i −0.984337 0.176299i \(-0.943588\pi\)
0.899971 + 0.435950i \(0.143588\pi\)
\(234\) −3.74864 4.96455i −0.245056 0.324543i
\(235\) −1.95156 + 6.00628i −0.127306 + 0.391806i
\(236\) −4.15547 + 19.5500i −0.270498 + 1.27259i
\(237\) 0.502072 + 4.77690i 0.0326131 + 0.310293i
\(238\) −0.698647 + 0.775927i −0.0452866 + 0.0502958i
\(239\) 10.5718 14.5509i 0.683834 0.941217i −0.316138 0.948713i \(-0.602386\pi\)
0.999972 + 0.00749624i \(0.00238615\pi\)
\(240\) −0.577091 0.0606547i −0.0372511 0.00391525i
\(241\) 3.41489 7.66996i 0.219972 0.494066i −0.769525 0.638617i \(-0.779507\pi\)
0.989497 + 0.144551i \(0.0461737\pi\)
\(242\) 9.23439i 0.593609i
\(243\) 5.88147 + 10.1870i 0.377297 + 0.653497i
\(244\) −2.45792 23.3855i −0.157352 1.49710i
\(245\) 2.12876 1.91675i 0.136002 0.122457i
\(246\) 0.747978 + 2.30204i 0.0476894 + 0.146773i
\(247\) −0.621767 2.68125i −0.0395621 0.170604i
\(248\) −9.38692 + 8.32539i −0.596070 + 0.528663i
\(249\) 6.13937 + 3.54457i 0.389067 + 0.224628i
\(250\) 3.84719 + 0.817746i 0.243318 + 0.0517188i
\(251\) 20.5917 4.37690i 1.29974 0.276267i 0.494477 0.869191i \(-0.335360\pi\)
0.805259 + 0.592924i \(0.202026\pi\)
\(252\) −4.26061 5.86423i −0.268393 0.369412i
\(253\) 1.05567 0.609491i 0.0663694 0.0383184i
\(254\) 6.96092 4.01889i 0.436767 0.252167i
\(255\) −0.193133 0.265824i −0.0120944 0.0166466i
\(256\) 0.717584 6.82736i 0.0448490 0.426710i
\(257\) −4.41611 + 1.96618i −0.275469 + 0.122647i −0.539822 0.841779i \(-0.681508\pi\)
0.264352 + 0.964426i \(0.414842\pi\)
\(258\) 0.404447 1.90278i 0.0251798 0.118462i
\(259\) −2.34013 + 1.70020i −0.145409 + 0.105645i
\(260\) −3.27662 + 1.97314i −0.203207 + 0.122369i
\(261\) −1.82820 + 5.62663i −0.113163 + 0.348280i
\(262\) 2.76930 + 6.21994i 0.171088 + 0.384269i
\(263\) −16.6972 18.5442i −1.02960 1.14348i −0.989536 0.144285i \(-0.953912\pi\)
−0.0400598 0.999197i \(-0.512755\pi\)
\(264\) 5.43565 1.15538i 0.334541 0.0711089i
\(265\) 4.23743 5.83232i 0.260303 0.358276i
\(266\) 0.161308 + 0.758896i 0.00989045 + 0.0465309i
\(267\) 5.01874 + 4.51890i 0.307142 + 0.276552i
\(268\) −11.8913 16.3669i −0.726374 0.999769i
\(269\) 1.31246 1.45764i 0.0800222 0.0888737i −0.701804 0.712370i \(-0.747622\pi\)
0.781826 + 0.623496i \(0.214288\pi\)
\(270\) −1.05124 + 0.468042i −0.0639764 + 0.0284841i
\(271\) 4.17446 + 9.37599i 0.253580 + 0.569551i 0.994816 0.101694i \(-0.0324264\pi\)
−0.741235 + 0.671245i \(0.765760\pi\)
\(272\) −1.50789 + 1.09554i −0.0914290 + 0.0664271i
\(273\) 2.72683 + 0.830772i 0.165035 + 0.0502806i
\(274\) −10.0310 −0.605994
\(275\) 23.0634 2.42406i 1.39078 0.146176i
\(276\) −0.125575 0.139465i −0.00755874 0.00839484i
\(277\) 18.1849 20.1964i 1.09263 1.21348i 0.117211 0.993107i \(-0.462605\pi\)
0.975415 0.220376i \(-0.0707286\pi\)
\(278\) 7.40420i 0.444074i
\(279\) 4.86564 14.6014i 0.291298 0.874160i
\(280\) 2.09330 1.20857i 0.125098 0.0722256i
\(281\) −5.38199 + 1.74872i −0.321063 + 0.104320i −0.465114 0.885251i \(-0.653987\pi\)
0.144052 + 0.989570i \(0.453987\pi\)
\(282\) −2.84199 + 0.604084i −0.169238 + 0.0359727i
\(283\) 0.0519544 + 0.494313i 0.00308837 + 0.0293838i 0.995958 0.0898251i \(-0.0286308\pi\)
−0.992869 + 0.119209i \(0.961964\pi\)
\(284\) −3.55141 2.05041i −0.210737 0.121669i
\(285\) −0.244156 −0.0144626
\(286\) 7.49021 8.63347i 0.442905 0.510508i
\(287\) 10.5215 + 7.64432i 0.621065 + 0.451230i
\(288\) 6.34052 + 14.2410i 0.373619 + 0.839161i
\(289\) 15.5962 + 3.31507i 0.917422 + 0.195004i
\(290\) −0.803896 0.357918i −0.0472064 0.0210176i
\(291\) 1.01411 0.329506i 0.0594485 0.0193160i
\(292\) 2.16664 + 10.1932i 0.126793 + 0.596514i
\(293\) −14.2000 1.49248i −0.829572 0.0871915i −0.319783 0.947491i \(-0.603610\pi\)
−0.509789 + 0.860299i \(0.670277\pi\)
\(294\) 1.25337 + 0.407245i 0.0730981 + 0.0237510i
\(295\) 7.99673 1.69976i 0.465588 0.0989637i
\(296\) 3.65706 1.62823i 0.212563 0.0946389i
\(297\) −10.5634 + 9.51137i −0.612953 + 0.551905i
\(298\) −0.286987 0.883256i −0.0166247 0.0511657i
\(299\) −0.849635 0.164294i −0.0491356 0.00950135i
\(300\) −1.10328 3.39556i −0.0636981 0.196043i
\(301\) −4.25119 9.54832i −0.245034 0.550356i
\(302\) −1.23983 + 0.552006i −0.0713440 + 0.0317644i
\(303\) 0.306418 + 0.136426i 0.0176033 + 0.00783747i
\(304\) 1.38497i 0.0794337i
\(305\) −8.32970 + 4.80916i −0.476957 + 0.275372i
\(306\) −0.720942 + 1.61926i −0.0412135 + 0.0925671i
\(307\) 20.8463 + 6.77338i 1.18976 + 0.386577i 0.835985 0.548752i \(-0.184897\pi\)
0.353778 + 0.935329i \(0.384897\pi\)
\(308\) 8.91153 9.89726i 0.507781 0.563948i
\(309\) −1.01138 + 1.75176i −0.0575354 + 0.0996542i
\(310\) 2.08426 + 0.946765i 0.118378 + 0.0537727i
\(311\) 4.87721 0.276561 0.138281 0.990393i \(-0.455842\pi\)
0.138281 + 0.990393i \(0.455842\pi\)
\(312\) −3.45228 1.90924i −0.195447 0.108089i
\(313\) −3.84872 + 11.8451i −0.217543 + 0.669527i 0.781421 + 0.624004i \(0.214495\pi\)
−0.998963 + 0.0455226i \(0.985505\pi\)
\(314\) −9.89156 + 1.03964i −0.558213 + 0.0586705i
\(315\) −1.48248 + 2.56774i −0.0835285 + 0.144676i
\(316\) −7.96556 13.7967i −0.448098 0.776128i
\(317\) 0.0986553 + 0.135787i 0.00554103 + 0.00762658i 0.811779 0.583965i \(-0.198500\pi\)
−0.806237 + 0.591592i \(0.798500\pi\)
\(318\) 3.29850 + 0.346687i 0.184971 + 0.0194412i
\(319\) −10.8105 1.13623i −0.605270 0.0636164i
\(320\) 0.0680411 0.0221079i 0.00380361 0.00123587i
\(321\) 2.87811 + 1.28142i 0.160640 + 0.0715217i
\(322\) 0.238602 + 0.0507165i 0.0132968 + 0.00282632i
\(323\) −0.582803 + 0.524759i −0.0324280 + 0.0291983i
\(324\) −9.03379 6.56344i −0.501877 0.364635i
\(325\) −13.4951 9.42979i −0.748573 0.523070i
\(326\) −3.07077 + 9.45086i −0.170074 + 0.523435i
\(327\) −1.24325 2.79238i −0.0687516 0.154419i
\(328\) −12.0435 13.3756i −0.664989 0.738545i
\(329\) −10.4458 + 11.6013i −0.575897 + 0.639599i
\(330\) −0.595954 0.820261i −0.0328062 0.0451539i
\(331\) −19.5292 17.5842i −1.07342 0.966513i −0.0738948 0.997266i \(-0.523543\pi\)
−0.999527 + 0.0307527i \(0.990210\pi\)
\(332\) −23.3842 2.45778i −1.28337 0.134888i
\(333\) −2.88630 + 3.97265i −0.158168 + 0.217700i
\(334\) −6.83315 3.04232i −0.373894 0.166468i
\(335\) −4.13758 + 7.16649i −0.226060 + 0.391547i
\(336\) −1.24221 0.717188i −0.0677679 0.0391258i
\(337\) −13.7728 + 10.0065i −0.750252 + 0.545090i −0.895905 0.444246i \(-0.853472\pi\)
0.145653 + 0.989336i \(0.453472\pi\)
\(338\) −8.03299 + 1.14492i −0.436937 + 0.0622756i
\(339\) −1.03434 3.18337i −0.0561776 0.172897i
\(340\) 0.943805 + 0.544906i 0.0511850 + 0.0295517i
\(341\) 28.1000 + 3.16668i 1.52170 + 0.171485i
\(342\) 0.658549 + 1.14064i 0.0356103 + 0.0616788i
\(343\) 17.5746 5.71034i 0.948941 0.308330i
\(344\) 3.00743 + 14.1489i 0.162150 + 0.762856i
\(345\) −0.0312229 + 0.0701278i −0.00168098 + 0.00377555i
\(346\) 14.5153i 0.780350i
\(347\) −11.5611 20.0245i −0.620635 1.07497i −0.989368 0.145435i \(-0.953542\pi\)
0.368733 0.929535i \(-0.379792\pi\)
\(348\) 0.174928 + 1.66433i 0.00937715 + 0.0892176i
\(349\) −4.76853 10.7103i −0.255254 0.573309i 0.739780 0.672849i \(-0.234930\pi\)
−0.995034 + 0.0995397i \(0.968263\pi\)
\(350\) 3.75439 + 2.72772i 0.200681 + 0.145803i
\(351\) 10.0894 0.185940i 0.538531 0.00992476i
\(352\) −23.1717 + 16.8352i −1.23505 + 0.897319i
\(353\) 0.391557 1.84213i 0.0208405 0.0980468i −0.966498 0.256674i \(-0.917373\pi\)
0.987339 + 0.158627i \(0.0507067\pi\)
\(354\) 2.51674 + 2.79512i 0.133763 + 0.148559i
\(355\) −0.175336 + 1.66821i −0.00930588 + 0.0885395i
\(356\) −21.3031 6.92179i −1.12906 0.366854i
\(357\) −0.168869 0.794464i −0.00893747 0.0420475i
\(358\) 9.76484 + 1.02633i 0.516088 + 0.0542430i
\(359\) 15.9823 + 5.19298i 0.843515 + 0.274075i 0.698727 0.715388i \(-0.253750\pi\)
0.144788 + 0.989463i \(0.453750\pi\)
\(360\) 2.74569 3.04940i 0.144710 0.160717i
\(361\) −1.92513 18.3164i −0.101322 0.964019i
\(362\) −1.62346 + 7.63776i −0.0853269 + 0.401432i
\(363\) −5.81150 4.22231i −0.305025 0.221614i
\(364\) −9.38309 + 1.16138i −0.491808 + 0.0608726i
\(365\) 3.44852 2.50549i 0.180504 0.131143i
\(366\) −3.83221 2.21253i −0.200313 0.115651i
\(367\) −6.41590 + 11.1127i −0.334907 + 0.580076i −0.983467 0.181088i \(-0.942038\pi\)
0.648560 + 0.761164i \(0.275372\pi\)
\(368\) 0.397799 + 0.177112i 0.0207367 + 0.00923259i
\(369\) 20.9975 + 6.82249i 1.09308 + 0.355165i
\(370\) −0.542779 0.488721i −0.0282178 0.0254074i
\(371\) 15.4329 8.91018i 0.801235 0.462593i
\(372\) −0.422583 4.33298i −0.0219099 0.224654i
\(373\) 3.88330 + 6.72608i 0.201070 + 0.348263i 0.948873 0.315657i \(-0.102225\pi\)
−0.747804 + 0.663920i \(0.768891\pi\)
\(374\) −3.18551 0.677102i −0.164719 0.0350121i
\(375\) −2.27371 + 2.04726i −0.117414 + 0.105720i
\(376\) 17.4787 12.6990i 0.901397 0.654903i
\(377\) 5.26833 + 5.63857i 0.271333 + 0.290401i
\(378\) −2.84449 −0.146305
\(379\) −33.4216 + 3.51275i −1.71675 + 0.180438i −0.911166 0.412040i \(-0.864817\pi\)
−0.805587 + 0.592478i \(0.798150\pi\)
\(380\) 0.739797 0.329379i 0.0379508 0.0168968i
\(381\) −0.653572 + 6.21832i −0.0334835 + 0.318574i
\(382\) −11.4435 + 3.71823i −0.585503 + 0.190241i
\(383\) −1.60901 + 3.61391i −0.0822168 + 0.184662i −0.949976 0.312323i \(-0.898893\pi\)
0.867759 + 0.496985i \(0.165560\pi\)
\(384\) 4.09414 + 3.68638i 0.208928 + 0.188120i
\(385\) −5.18101 1.68341i −0.264049 0.0857946i
\(386\) −0.543193 + 5.16814i −0.0276478 + 0.263051i
\(387\) −11.8727 13.1859i −0.603521 0.670278i
\(388\) −2.62826 + 2.36650i −0.133430 + 0.120141i
\(389\) −13.2266 9.60969i −0.670615 0.487230i 0.199616 0.979874i \(-0.436031\pi\)
−0.870231 + 0.492644i \(0.836031\pi\)
\(390\) −0.0620347 + 0.717103i −0.00314125 + 0.0363119i
\(391\) 0.0761944 + 0.234502i 0.00385332 + 0.0118593i
\(392\) −9.74589 + 1.02433i −0.492242 + 0.0517367i
\(393\) −5.18064 1.10118i −0.261329 0.0555471i
\(394\) 0.443107 4.21588i 0.0223234 0.212393i
\(395\) −3.83029 + 5.27194i −0.192723 + 0.265260i
\(396\) 9.19591 20.6544i 0.462112 1.03792i
\(397\) −30.6658 + 17.7049i −1.53907 + 0.888583i −0.540177 + 0.841551i \(0.681643\pi\)
−0.998893 + 0.0470317i \(0.985024\pi\)
\(398\) 1.08668i 0.0544701i
\(399\) −0.551355 0.245479i −0.0276023 0.0122893i
\(400\) 5.54315 + 6.15629i 0.277157 + 0.307814i
\(401\) −5.58439 + 26.2725i −0.278871 + 1.31199i 0.586131 + 0.810217i \(0.300651\pi\)
−0.865002 + 0.501769i \(0.832683\pi\)
\(402\) −3.80711 −0.189881
\(403\) −13.5949 14.7709i −0.677211 0.735789i
\(404\) −1.11250 −0.0553488
\(405\) −0.949638 + 4.46770i −0.0471879 + 0.222002i
\(406\) −1.45551 1.61650i −0.0722355 0.0802257i
\(407\) −8.24215 3.66964i −0.408548 0.181897i
\(408\) 1.12406i 0.0556493i
\(409\) 12.8757 7.43378i 0.636662 0.367577i −0.146666 0.989186i \(-0.546854\pi\)
0.783327 + 0.621609i \(0.213521\pi\)
\(410\) −1.33568 + 2.99998i −0.0659644 + 0.148158i
\(411\) 4.58654 6.31283i 0.226237 0.311389i
\(412\) 0.701283 6.67227i 0.0345498 0.328719i
\(413\) 19.7672 + 4.20165i 0.972681 + 0.206750i
\(414\) 0.411836 0.0432858i 0.0202407 0.00212738i
\(415\) 2.97206 + 9.14705i 0.145892 + 0.449011i
\(416\) 20.2575 + 1.75243i 0.993207 + 0.0859197i
\(417\) 4.65970 + 3.38547i 0.228187 + 0.165787i
\(418\) −1.79837 + 1.61926i −0.0879613 + 0.0792007i
\(419\) −18.6181 20.6775i −0.909554 1.01016i −0.999898 0.0142514i \(-0.995463\pi\)
0.0903445 0.995911i \(-0.471203\pi\)
\(420\) −0.0876674 + 0.834100i −0.00427773 + 0.0406999i
\(421\) 33.5097 + 10.8880i 1.63316 + 0.530647i 0.974996 0.222223i \(-0.0713313\pi\)
0.658169 + 0.752870i \(0.271331\pi\)
\(422\) −12.0271 10.8292i −0.585468 0.527157i
\(423\) −10.7792 + 24.2104i −0.524101 + 1.17715i
\(424\) −23.4554 + 7.62112i −1.13910 + 0.370114i
\(425\) −0.490328 + 4.66516i −0.0237844 + 0.226294i
\(426\) −0.704996 + 0.313884i −0.0341571 + 0.0152077i
\(427\) −23.6454 + 2.48523i −1.14428 + 0.120269i
\(428\) −10.4494 −0.505091
\(429\) 2.00852 + 8.66137i 0.0969724 + 0.418175i
\(430\) 2.13512 1.55126i 0.102965 0.0748082i
\(431\) 0.920323 0.828663i 0.0443304 0.0399153i −0.646668 0.762772i \(-0.723838\pi\)
0.690998 + 0.722857i \(0.257171\pi\)
\(432\) −4.96676 1.05572i −0.238963 0.0507932i
\(433\) −4.54503 7.87223i −0.218420 0.378315i 0.735905 0.677085i \(-0.236757\pi\)
−0.954325 + 0.298770i \(0.903424\pi\)
\(434\) 3.75479 + 4.23354i 0.180235 + 0.203216i
\(435\) 0.592820 0.342265i 0.0284236 0.0164104i
\(436\) 7.53411 + 6.78374i 0.360818 + 0.324882i
\(437\) 0.174252 + 0.0566180i 0.00833561 + 0.00270840i
\(438\) 1.79153 + 0.797640i 0.0856026 + 0.0381127i
\(439\) −16.8009 + 29.1001i −0.801865 + 1.38887i 0.116523 + 0.993188i \(0.462825\pi\)
−0.918387 + 0.395682i \(0.870508\pi\)
\(440\) 6.52918 + 3.76963i 0.311267 + 0.179710i
\(441\) 9.72489 7.06555i 0.463090 0.336455i
\(442\) 1.39317 + 1.84506i 0.0662665 + 0.0877606i
\(443\) −11.0367 8.01864i −0.524370 0.380977i 0.293878 0.955843i \(-0.405054\pi\)
−0.818248 + 0.574866i \(0.805054\pi\)
\(444\) −0.288792 + 1.35866i −0.0137054 + 0.0644791i
\(445\) 0.957718 + 9.11207i 0.0454002 + 0.431954i
\(446\) 1.50965 1.67663i 0.0714838 0.0793908i
\(447\) 0.687083 + 0.223247i 0.0324979 + 0.0105592i
\(448\) 0.175878 + 0.0184856i 0.00830947 + 0.000873361i
\(449\) 0.111614 + 0.525105i 0.00526741 + 0.0247812i 0.980703 0.195504i \(-0.0626344\pi\)
−0.975435 + 0.220286i \(0.929301\pi\)
\(450\) 7.49253 + 2.43447i 0.353201 + 0.114762i
\(451\) −4.24017 + 40.3425i −0.199662 + 1.89965i
\(452\) 7.42859 + 8.25028i 0.349411 + 0.388061i
\(453\) 0.219499 1.03266i 0.0103130 0.0485187i
\(454\) 4.05583 2.94673i 0.190349 0.138297i
\(455\) 1.99506 + 3.31303i 0.0935300 + 0.155317i
\(456\) 0.675739 + 0.490953i 0.0316444 + 0.0229910i
\(457\) 6.85505 + 15.3967i 0.320666 + 0.720227i 0.999906 0.0136886i \(-0.00435736\pi\)
−0.679241 + 0.733916i \(0.737691\pi\)
\(458\) −1.64010 15.6045i −0.0766370 0.729152i
\(459\) −1.43762 2.49004i −0.0671025 0.116225i
\(460\) 0.254610i 0.0118712i
\(461\) −2.89985 + 6.51318i −0.135060 + 0.303349i −0.968396 0.249417i \(-0.919761\pi\)
0.833336 + 0.552766i \(0.186428\pi\)
\(462\) −0.521082 2.45150i −0.0242429 0.114054i
\(463\) 14.5994 4.74363i 0.678491 0.220455i 0.0505563 0.998721i \(-0.483901\pi\)
0.627935 + 0.778266i \(0.283901\pi\)
\(464\) −1.94150 3.36277i −0.0901317 0.156113i
\(465\) −1.54883 + 0.878796i −0.0718253 + 0.0407532i
\(466\) −2.25265 1.30057i −0.104352 0.0602476i
\(467\) −4.43923 13.6625i −0.205423 0.632227i −0.999696 0.0246657i \(-0.992148\pi\)
0.794273 0.607561i \(-0.207852\pi\)
\(468\) −14.5400 + 6.79738i −0.672114 + 0.314209i
\(469\) −16.5488 + 12.0234i −0.764153 + 0.555189i
\(470\) −3.41374 1.97092i −0.157464 0.0909119i
\(471\) 3.86850 6.70044i 0.178251 0.308740i
\(472\) −25.5500 11.3756i −1.17604 0.523605i
\(473\) 19.1621 26.3744i 0.881075 1.21270i
\(474\) −2.98158 0.313377i −0.136949 0.0143939i
\(475\) 2.59034 + 2.33235i 0.118853 + 0.107016i
\(476\) 1.58345 + 2.17943i 0.0725771 + 0.0998938i
\(477\) 20.2427 22.4817i 0.926847 1.02937i
\(478\) 7.51178 + 8.34267i 0.343581 + 0.381585i
\(479\) −3.56132 7.99885i −0.162721 0.365477i 0.813722 0.581255i \(-0.197438\pi\)
−0.976442 + 0.215778i \(0.930771\pi\)
\(480\) 0.557371 1.71541i 0.0254404 0.0782974i
\(481\) 2.71250 + 5.80222i 0.123680 + 0.264559i
\(482\) 4.23957 + 3.08023i 0.193107 + 0.140300i
\(483\) −0.141015 + 0.126971i −0.00641642 + 0.00577737i
\(484\) 23.3050 + 4.95364i 1.05932 + 0.225165i
\(485\) 1.32158 + 0.588404i 0.0600097 + 0.0267180i
\(486\) −6.98269 + 2.26881i −0.316741 + 0.102916i
\(487\) 29.8656 + 3.13900i 1.35334 + 0.142241i 0.753272 0.657709i \(-0.228474\pi\)
0.600066 + 0.799951i \(0.295141\pi\)
\(488\) 32.7240 + 3.43943i 1.48135 + 0.155696i
\(489\) −4.54367 6.25382i −0.205472 0.282808i
\(490\) 0.893974 + 1.54841i 0.0403856 + 0.0699499i
\(491\) 8.64673 14.9766i 0.390222 0.675884i −0.602257 0.798302i \(-0.705732\pi\)
0.992479 + 0.122419i \(0.0390651\pi\)
\(492\) 6.21096 0.652798i 0.280011 0.0294304i
\(493\) 0.679447 2.09112i 0.0306008 0.0941795i
\(494\) 1.71766 0.0316554i 0.0772814 0.00142424i
\(495\) −9.24800 −0.415667
\(496\) 4.98496 + 8.78573i 0.223831 + 0.394491i
\(497\) −2.07319 + 3.59088i −0.0929954 + 0.161073i
\(498\) −2.96077 + 3.28827i −0.132675 + 0.147351i
\(499\) −3.84109 1.24805i −0.171951 0.0558703i 0.221776 0.975098i \(-0.428815\pi\)
−0.393727 + 0.919227i \(0.628815\pi\)
\(500\) 4.12753 9.27058i 0.184589 0.414593i
\(501\) 5.03900 2.90927i 0.225126 0.129977i
\(502\) 13.1398i 0.586457i
\(503\) 8.63338 + 3.84383i 0.384943 + 0.171388i 0.590079 0.807346i \(-0.299097\pi\)
−0.205135 + 0.978734i \(0.565763\pi\)
\(504\) 9.26624 4.12560i 0.412751 0.183769i
\(505\) 0.185088 + 0.415715i 0.00823632 + 0.0184991i
\(506\) 0.235115 + 0.723610i 0.0104521 + 0.0321684i
\(507\) 2.95244 5.57892i 0.131123 0.247769i
\(508\) −6.40849 19.7233i −0.284331 0.875080i
\(509\) 23.7536 21.3878i 1.05286 0.947998i 0.0541362 0.998534i \(-0.482759\pi\)
0.998722 + 0.0505356i \(0.0160928\pi\)
\(510\) 0.187356 0.0834163i 0.00829626 0.00369373i
\(511\) 10.3065 2.19072i 0.455933 0.0969116i
\(512\) −17.5074 5.68849i −0.773724 0.251398i
\(513\) −2.12481 0.223327i −0.0938127 0.00986012i
\(514\) −0.627321 2.95131i −0.0276699 0.130177i
\(515\) −2.60995 + 0.848024i −0.115008 + 0.0373684i
\(516\) −4.58512 2.04143i −0.201849 0.0898688i
\(517\) −47.6282 10.1237i −2.09469 0.445240i
\(518\) −0.734338 1.64935i −0.0322650 0.0724683i
\(519\) −9.13498 6.63695i −0.400981 0.291330i
\(520\) −1.74744 5.05893i −0.0766304 0.221849i
\(521\) 38.3099 1.67839 0.839193 0.543834i \(-0.183028\pi\)
0.839193 + 0.543834i \(0.183028\pi\)
\(522\) −3.19796 1.84635i −0.139971 0.0808123i
\(523\) −2.94980 28.0654i −0.128986 1.22722i −0.847154 0.531347i \(-0.821686\pi\)
0.718169 0.695869i \(-0.244981\pi\)
\(524\) 17.1830 3.65235i 0.750641 0.159554i
\(525\) −3.43329 + 1.11554i −0.149841 + 0.0486864i
\(526\) 13.4885 7.78762i 0.588129 0.339556i
\(527\) −1.80830 + 5.42655i −0.0787708 + 0.236384i
\(528\) 4.47395i 0.194704i
\(529\) −15.3515 + 17.0495i −0.667455 + 0.741284i
\(530\) 3.01089 + 3.34393i 0.130785 + 0.145251i
\(531\) 34.1189 3.58604i 1.48064 0.155621i
\(532\) 2.00178 0.0867880
\(533\) 21.0420 19.6603i 0.911430 0.851583i
\(534\) −3.41020 + 2.47766i −0.147574 + 0.107219i
\(535\) 1.73849 + 3.90471i 0.0751614 + 0.168815i
\(536\) 25.8618 11.5144i 1.11706 0.497348i
\(537\) −5.11075 + 5.67606i −0.220545 + 0.244940i
\(538\) 0.719607 + 0.990453i 0.0310244 + 0.0427015i
\(539\) 16.4130 + 14.7784i 0.706959 + 0.636549i
\(540\) 0.617288 + 2.90411i 0.0265639 + 0.124973i
\(541\) 14.4511 19.8903i 0.621302 0.855150i −0.376144 0.926561i \(-0.622750\pi\)
0.997447 + 0.0714115i \(0.0227504\pi\)
\(542\) −6.26603 + 1.33189i −0.269149 + 0.0572094i
\(543\) −4.06439 4.51396i −0.174420 0.193713i
\(544\) −2.35644 5.29264i −0.101031 0.226920i
\(545\) 1.28147 3.94395i 0.0548920 0.168940i
\(546\) −0.861074 + 1.55699i −0.0368506 + 0.0666332i
\(547\) 24.5023 17.8020i 1.04764 0.761157i 0.0758797 0.997117i \(-0.475823\pi\)
0.971763 + 0.235960i \(0.0758235\pi\)
\(548\) −5.38096 + 25.3154i −0.229863 + 1.08142i
\(549\) −36.8725 + 16.4167i −1.57368 + 0.700647i
\(550\) −1.51302 + 14.3954i −0.0645154 + 0.613823i
\(551\) −0.960336 1.32179i −0.0409117 0.0563101i
\(552\) 0.227428 0.131306i 0.00967998 0.00558874i
\(553\) −13.9501 + 8.05408i −0.593217 + 0.342494i
\(554\) 9.97056 + 13.7233i 0.423609 + 0.583047i
\(555\) 0.555747 0.118128i 0.0235901 0.00501424i
\(556\) −18.6861 3.97186i −0.792469 0.168444i
\(557\) −22.5110 12.9968i −0.953823 0.550690i −0.0595568 0.998225i \(-0.518969\pi\)
−0.894267 + 0.447535i \(0.852302\pi\)
\(558\) 8.28310 + 4.86544i 0.350652 + 0.205971i
\(559\) −22.5453 + 5.22814i −0.953567 + 0.221127i
\(560\) −0.601349 1.85076i −0.0254116 0.0782090i
\(561\) 1.88266 1.69515i 0.0794859 0.0715694i
\(562\) −0.369209 3.51279i −0.0155741 0.148178i
\(563\) −5.82972 10.0974i −0.245693 0.425553i 0.716633 0.697450i \(-0.245682\pi\)
−0.962326 + 0.271897i \(0.912349\pi\)
\(564\) 7.49645i 0.315658i
\(565\) 1.84704 4.14851i 0.0777054 0.174529i
\(566\) −0.308534 0.0324282i −0.0129686 0.00136306i
\(567\) −6.63637 + 9.13419i −0.278702 + 0.383600i
\(568\) 3.83973 4.26446i 0.161112 0.178933i
\(569\) 3.24477 + 30.8720i 0.136028 + 1.29422i 0.823211 + 0.567736i \(0.192180\pi\)
−0.687183 + 0.726484i \(0.741153\pi\)
\(570\) 0.0316845 0.149064i 0.00132712 0.00624361i
\(571\) 4.54880 13.9998i 0.190362 0.585873i −0.809638 0.586930i \(-0.800337\pi\)
0.999999 + 0.00105715i \(0.000336503\pi\)
\(572\) −17.7705 23.5345i −0.743021 0.984027i
\(573\) 2.89241 8.90191i 0.120832 0.371883i
\(574\) −6.03246 + 5.43165i −0.251790 + 0.226713i
\(575\) 1.00117 0.445747i 0.0417515 0.0185890i
\(576\) 0.293659 0.0624191i 0.0122358 0.00260079i
\(577\) 16.9810 5.51748i 0.706930 0.229696i 0.0665828 0.997781i \(-0.478790\pi\)
0.640347 + 0.768085i \(0.278790\pi\)
\(578\) −4.04788 + 9.09169i −0.168370 + 0.378164i
\(579\) −3.00411 2.70491i −0.124847 0.112412i
\(580\) −1.33452 + 1.83681i −0.0554130 + 0.0762695i
\(581\) −2.48509 + 23.6441i −0.103099 + 0.980921i
\(582\) 0.0695691 + 0.661905i 0.00288373 + 0.0274369i
\(583\) 48.1366 + 27.7917i 1.99361 + 1.15101i
\(584\) −14.5824 −0.603422
\(585\) 4.95908 + 4.30239i 0.205033 + 0.177882i
\(586\) 2.75395 8.47579i 0.113765 0.350132i
\(587\) 8.17440 38.4575i 0.337394 1.58731i −0.403040 0.915182i \(-0.632046\pi\)
0.740433 0.672130i \(-0.234620\pi\)
\(588\) 1.70012 2.94470i 0.0701120 0.121437i
\(589\) 2.47241 + 3.45721i 0.101874 + 0.142452i
\(590\) 5.10280i 0.210079i
\(591\) 2.45059 + 2.20652i 0.100804 + 0.0907640i
\(592\) −0.670078 3.15247i −0.0275400 0.129566i
\(593\) −0.481132 0.662222i −0.0197577 0.0271942i 0.799024 0.601299i \(-0.205350\pi\)
−0.818782 + 0.574105i \(0.805350\pi\)
\(594\) −4.43611 7.68357i −0.182016 0.315261i
\(595\) 0.550961 0.954293i 0.0225872 0.0391222i
\(596\) −2.38304 + 0.250468i −0.0976133 + 0.0102596i
\(597\) −0.683880 0.496868i −0.0279894 0.0203355i
\(598\) 0.210564 0.497405i 0.00861061 0.0203404i
\(599\) −2.32431 7.15349i −0.0949688 0.292284i 0.892277 0.451489i \(-0.149107\pi\)
−0.987246 + 0.159205i \(0.949107\pi\)
\(600\) 4.96866 0.522227i 0.202845 0.0213198i
\(601\) 1.41817 + 0.301441i 0.0578483 + 0.0122960i 0.236745 0.971572i \(-0.423919\pi\)
−0.178897 + 0.983868i \(0.557253\pi\)
\(602\) 6.38119 1.35636i 0.260078 0.0552813i
\(603\) −20.4112 + 28.0935i −0.831207 + 1.14406i
\(604\) 0.728026 + 3.42509i 0.0296230 + 0.139365i
\(605\) −2.02624 9.53272i −0.0823784 0.387560i
\(606\) −0.123056 + 0.169372i −0.00499882 + 0.00688028i
\(607\) −7.26463 + 1.54414i −0.294862 + 0.0626749i −0.352968 0.935636i \(-0.614827\pi\)
0.0581054 + 0.998310i \(0.481494\pi\)
\(608\) −4.21093 0.895061i −0.170776 0.0362995i
\(609\) 1.68283 0.176872i 0.0681917 0.00716723i
\(610\) −1.85516 5.70960i −0.0751133 0.231175i
\(611\) 20.8300 + 27.5864i 0.842693 + 1.11603i
\(612\) 3.69983 + 2.68809i 0.149557 + 0.108659i
\(613\) 37.0345 3.89248i 1.49581 0.157216i 0.679005 0.734133i \(-0.262411\pi\)
0.816802 + 0.576918i \(0.195745\pi\)
\(614\) −6.84060 + 11.8483i −0.276064 + 0.478157i
\(615\) −1.27726 2.21229i −0.0515043 0.0892080i
\(616\) 10.9542 + 15.0771i 0.441357 + 0.607475i
\(617\) 6.03806 + 28.4068i 0.243083 + 1.14362i 0.915146 + 0.403122i \(0.132075\pi\)
−0.672063 + 0.740494i \(0.734592\pi\)
\(618\) −0.938250 0.844804i −0.0377419 0.0339830i
\(619\) 20.8939i 0.839796i −0.907571 0.419898i \(-0.862066\pi\)
0.907571 0.419898i \(-0.137934\pi\)
\(620\) 3.50744 4.75221i 0.140862 0.190853i
\(621\) −0.335868 + 0.581740i −0.0134779 + 0.0233444i
\(622\) −0.632923 + 2.97767i −0.0253779 + 0.119394i
\(623\) −6.99871 + 21.5398i −0.280398 + 0.862975i
\(624\) −2.08139 + 2.39908i −0.0833222 + 0.0960400i
\(625\) 18.6795 0.747180
\(626\) −6.73233 3.88691i −0.269078 0.155352i
\(627\) −0.196772 1.87216i −0.00785832 0.0747669i
\(628\) −2.68239 + 25.5213i −0.107039 + 1.01841i
\(629\) 1.07268 1.47642i 0.0427707 0.0588689i
\(630\) −1.37529 1.23832i −0.0547929 0.0493357i
\(631\) 7.04936 15.8331i 0.280631 0.630307i −0.717148 0.696921i \(-0.754553\pi\)
0.997779 + 0.0666140i \(0.0212196\pi\)
\(632\) 21.2018 6.88888i 0.843362 0.274025i
\(633\) 12.3144 2.61750i 0.489453 0.104036i
\(634\) −0.0957045 + 0.0426104i −0.00380091 + 0.00169228i
\(635\) −6.30396 + 5.67611i −0.250165 + 0.225250i
\(636\) 2.64437 8.13854i 0.104856 0.322714i
\(637\) −1.92596 15.5604i −0.0763092 0.616524i
\(638\) 2.09659 6.45264i 0.0830047 0.255462i
\(639\) −1.46349 + 6.88516i −0.0578946 + 0.272373i
\(640\) 0.781278 + 7.43336i 0.0308827 + 0.293829i
\(641\) −0.110778 + 0.123031i −0.00437545 + 0.00485943i −0.745329 0.666697i \(-0.767707\pi\)
0.740953 + 0.671557i \(0.234374\pi\)
\(642\) −1.15584 + 1.59087i −0.0456172 + 0.0627867i
\(643\) −24.3390 2.55813i −0.959837 0.100883i −0.388366 0.921505i \(-0.626960\pi\)
−0.571471 + 0.820622i \(0.693627\pi\)
\(644\) 0.255989 0.574960i 0.0100874 0.0226566i
\(645\) 2.05299i 0.0808365i
\(646\) −0.244748 0.423916i −0.00962948 0.0166788i
\(647\) −1.15450 10.9843i −0.0453880 0.431838i −0.993494 0.113884i \(-0.963671\pi\)
0.948106 0.317954i \(-0.102996\pi\)
\(648\) 11.6120 10.4555i 0.456161 0.410729i
\(649\) 19.4783 + 59.9481i 0.764591 + 2.35317i
\(650\) 7.50842 7.01540i 0.294504 0.275167i
\(651\) −4.38113 + 0.427279i −0.171710 + 0.0167464i
\(652\) 22.2041 + 12.8195i 0.869579 + 0.502052i
\(653\) −10.3710 2.20442i −0.405848 0.0862657i 0.000464224 1.00000i \(-0.499852\pi\)
−0.406313 + 0.913734i \(0.633186\pi\)
\(654\) 1.86616 0.396664i 0.0729726 0.0155108i
\(655\) −4.22356 5.81323i −0.165028 0.227142i
\(656\) −12.5492 + 7.24527i −0.489963 + 0.282880i
\(657\) 15.4910 8.94371i 0.604360 0.348927i
\(658\) −5.72732 7.88298i −0.223274 0.307311i
\(659\) −3.63858 + 34.6188i −0.141739 + 1.34856i 0.660172 + 0.751114i \(0.270483\pi\)
−0.801911 + 0.597443i \(0.796183\pi\)
\(660\) −2.38980 + 1.06401i −0.0930229 + 0.0414165i
\(661\) 4.06312 19.1155i 0.158037 0.743507i −0.825731 0.564064i \(-0.809237\pi\)
0.983768 0.179443i \(-0.0574295\pi\)
\(662\) 13.2700 9.64118i 0.515751 0.374715i
\(663\) −1.79817 + 0.0331390i −0.0698350 + 0.00128701i
\(664\) 10.1674 31.2921i 0.394572 1.21437i
\(665\) −0.333039 0.748018i −0.0129147 0.0290069i
\(666\) −2.05085 2.27770i −0.0794688 0.0882590i
\(667\) −0.502459 + 0.106801i −0.0194553 + 0.00413535i
\(668\) −11.3435 + 15.6130i −0.438893 + 0.604085i
\(669\) 0.364893 + 1.71669i 0.0141076 + 0.0663710i
\(670\) −3.83840 3.45611i −0.148290 0.133521i
\(671\) −43.5892 59.9954i −1.68274 2.31609i
\(672\) 2.98336 3.31336i 0.115086 0.127816i
\(673\) 6.49373 2.89120i 0.250315 0.111447i −0.277744 0.960655i \(-0.589587\pi\)
0.528059 + 0.849208i \(0.322920\pi\)
\(674\) −4.32194 9.70723i −0.166475 0.373909i
\(675\) −10.3387 + 7.51153i −0.397938 + 0.289119i
\(676\) −1.41970 + 20.8872i −0.0546037 + 0.803354i
\(677\) −19.9070 −0.765088 −0.382544 0.923937i \(-0.624952\pi\)
−0.382544 + 0.923937i \(0.624952\pi\)
\(678\) 2.07776 0.218382i 0.0797960 0.00838689i
\(679\) 2.39280 + 2.65747i 0.0918272 + 0.101984i
\(680\) −1.02043 + 1.13330i −0.0391316 + 0.0434601i
\(681\) 3.89982i 0.149441i
\(682\) −5.57992 + 16.7449i −0.213666 + 0.641194i
\(683\) 6.06194 3.49987i 0.231954 0.133919i −0.379519 0.925184i \(-0.623911\pi\)
0.611473 + 0.791265i \(0.290577\pi\)
\(684\) 3.23193 1.05012i 0.123576 0.0401522i
\(685\) 10.3550 2.20103i 0.395646 0.0840971i
\(686\) 1.20563 + 11.4708i 0.0460313 + 0.437958i
\(687\) 10.5704 + 6.10280i 0.403285 + 0.232836i
\(688\) 11.6456 0.443984
\(689\) −12.8831 37.2971i −0.490805 1.42090i
\(690\) −0.0387631 0.0281630i −0.00147569 0.00107215i
\(691\) −6.96709 15.6483i −0.265040 0.595291i 0.731177 0.682188i \(-0.238971\pi\)
−0.996217 + 0.0868974i \(0.972305\pi\)
\(692\) 36.6327 + 7.78652i 1.39257 + 0.295999i
\(693\) −20.8839 9.29810i −0.793313 0.353206i
\(694\) 13.7258 4.45978i 0.521024 0.169291i
\(695\) 1.62465 + 7.64339i 0.0616266 + 0.289930i
\(696\) −2.32895 0.244782i −0.0882786 0.00927846i
\(697\) −7.80365 2.53556i −0.295584 0.0960412i
\(698\) 7.15775 1.52143i 0.270925 0.0575869i
\(699\) 1.84848 0.822998i 0.0699161 0.0311286i
\(700\) 8.89801 8.01180i 0.336313 0.302818i
\(701\) −7.81922 24.0651i −0.295328 0.908926i −0.983111 0.183010i \(-0.941416\pi\)
0.687783 0.725916i \(-0.258584\pi\)
\(702\) −1.19579 + 6.18397i −0.0451323 + 0.233399i
\(703\) −0.419051 1.28971i −0.0158048 0.0486422i
\(704\) 0.224357 + 0.503914i 0.00845577 + 0.0189920i
\(705\) 2.80125 1.24720i 0.105501 0.0469722i
\(706\) 1.07386 + 0.478113i 0.0404152 + 0.0179940i
\(707\) 1.12486i 0.0423047i
\(708\) 8.40418 4.85216i 0.315848 0.182355i
\(709\) −3.80276 + 8.54115i −0.142816 + 0.320770i −0.970764 0.240035i \(-0.922841\pi\)
0.827949 + 0.560804i \(0.189508\pi\)
\(710\) −0.995735 0.323534i −0.0373693 0.0121420i
\(711\) −18.2977 + 20.3217i −0.686218 + 0.762122i
\(712\) 15.6721 27.1448i 0.587335 1.01729i
\(713\) 1.30917 0.268027i 0.0490289 0.0100377i
\(714\) 0.506956 0.0189724
\(715\) −5.83780 + 10.5559i −0.218321 + 0.394768i
\(716\) 7.82836 24.0932i 0.292559 0.900405i
\(717\) −8.68498 + 0.912828i −0.324346 + 0.0340902i
\(718\) −5.24451 + 9.08375i −0.195723 + 0.339003i
\(719\) 4.12017 + 7.13634i 0.153656 + 0.266141i 0.932569 0.360992i \(-0.117562\pi\)
−0.778913 + 0.627132i \(0.784228\pi\)
\(720\) −1.94179 2.67265i −0.0723664 0.0996038i
\(721\) −6.74641 0.709077i −0.251250 0.0264074i
\(722\) 11.4325 + 1.20160i 0.425472 + 0.0447189i
\(723\) −3.87697 + 1.25971i −0.144186 + 0.0468489i
\(724\) 18.4047 + 8.19431i 0.684006 + 0.304539i
\(725\) −9.55900 2.03183i −0.355012 0.0754602i
\(726\) 3.33200 3.00015i 0.123662 0.111346i
\(727\) −13.4188 9.74934i −0.497676 0.361583i 0.310452 0.950589i \(-0.399519\pi\)
−0.808129 + 0.589006i \(0.799519\pi\)
\(728\) 1.14025 13.1810i 0.0422606 0.488520i
\(729\) −4.66313 + 14.3516i −0.172708 + 0.531542i
\(730\) 1.08215 + 2.43055i 0.0400523 + 0.0899589i
\(731\) 4.41244 + 4.90051i 0.163200 + 0.181252i
\(732\) −7.63953 + 8.48456i −0.282365 + 0.313598i
\(733\) −29.7835 40.9935i −1.10008 1.51413i −0.835280 0.549825i \(-0.814694\pi\)
−0.264799 0.964304i \(-0.585306\pi\)
\(734\) −5.95198 5.35919i −0.219692 0.197811i
\(735\) −1.38322 0.145382i −0.0510209 0.00536251i
\(736\) −0.795581 + 1.09502i −0.0293255 + 0.0403631i
\(737\) −58.2864 25.9508i −2.14701 0.955909i
\(738\) −6.89019 + 11.9342i −0.253631 + 0.439302i
\(739\) 4.44710 + 2.56753i 0.163589 + 0.0944482i 0.579559 0.814930i \(-0.303225\pi\)
−0.415970 + 0.909378i \(0.636558\pi\)
\(740\) −1.52456 + 1.10766i −0.0560440 + 0.0407183i
\(741\) −0.765458 + 1.09546i −0.0281198 + 0.0402426i
\(742\) 3.43716 + 10.5785i 0.126182 + 0.388348i
\(743\) 16.6885 + 9.63511i 0.612242 + 0.353478i 0.773842 0.633378i \(-0.218332\pi\)
−0.161600 + 0.986856i \(0.551666\pi\)
\(744\) 6.05371 + 0.682212i 0.221940 + 0.0250111i
\(745\) 0.490066 + 0.848819i 0.0179546 + 0.0310983i
\(746\) −4.61040 + 1.49801i −0.168799 + 0.0548460i
\(747\) 8.39125 + 39.4777i 0.307020 + 1.44441i
\(748\) −3.41764 + 7.67614i −0.124961 + 0.280667i
\(749\) 10.5655i 0.386056i
\(750\) −0.954845 1.65384i −0.0348660 0.0603897i
\(751\) 0.866871 + 8.24773i 0.0316326 + 0.300964i 0.998887 + 0.0471570i \(0.0150161\pi\)
−0.967255 + 0.253807i \(0.918317\pi\)
\(752\) −7.07473 15.8901i −0.257989 0.579452i
\(753\) −8.26929 6.00799i −0.301350 0.218943i
\(754\) −4.12618 + 2.48473i −0.150267