Properties

Label 403.2.bs.a.4.18
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 4.18
Character \(\chi\) = 403.4
Dual form 403.2.bs.a.101.18

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.00361138 + 0.0169902i) q^{2} +(-2.04909 - 2.27575i) q^{3} +(1.82682 + 0.813351i) q^{4} +1.58318i q^{5} +(0.0460655 - 0.0265959i) q^{6} +(-0.684412 + 1.53721i) q^{7} +(-0.0408357 + 0.0562056i) q^{8} +(-0.666663 + 6.34287i) q^{9} +O(q^{10})\) \(q+(-0.00361138 + 0.0169902i) q^{2} +(-2.04909 - 2.27575i) q^{3} +(1.82682 + 0.813351i) q^{4} +1.58318i q^{5} +(0.0460655 - 0.0265959i) q^{6} +(-0.684412 + 1.53721i) q^{7} +(-0.0408357 + 0.0562056i) q^{8} +(-0.666663 + 6.34287i) q^{9} +(-0.0268985 - 0.00571745i) q^{10} +(-3.90292 + 0.410213i) q^{11} +(-1.89233 - 5.82400i) q^{12} +(-3.21245 + 1.63712i) q^{13} +(-0.0236459 - 0.0171798i) q^{14} +(3.60291 - 3.24407i) q^{15} +(2.67531 + 2.97123i) q^{16} +(-0.290680 + 2.76563i) q^{17} +(-0.105359 - 0.0342333i) q^{18} +(-0.583515 - 0.525399i) q^{19} +(-1.28768 + 2.89217i) q^{20} +(4.90073 - 1.59234i) q^{21} +(0.00712531 - 0.0677928i) q^{22} +(-6.33244 + 2.81938i) q^{23} +(0.211586 - 0.0222386i) q^{24} +2.49356 q^{25} +(-0.0162137 - 0.0604925i) q^{26} +(8.36842 - 6.08001i) q^{27} +(-2.50059 + 2.25154i) q^{28} +(7.80463 + 1.65892i) q^{29} +(0.0421060 + 0.0729298i) q^{30} +(5.48285 - 0.968681i) q^{31} +(-0.180476 + 0.104198i) q^{32} +(8.93098 + 8.04149i) q^{33} +(-0.0459389 - 0.0149265i) q^{34} +(-2.43368 - 1.08354i) q^{35} +(-6.37685 + 11.0450i) q^{36} +(-2.59348 - 1.49734i) q^{37} +(0.0110339 - 0.00801663i) q^{38} +(10.3083 + 3.95611i) q^{39} +(-0.0889833 - 0.0646501i) q^{40} +(-1.09741 + 5.16290i) q^{41} +(0.00935586 + 0.0890151i) q^{42} +(-1.21969 + 1.35461i) q^{43} +(-7.46355 - 2.42506i) q^{44} +(-10.0419 - 1.05544i) q^{45} +(-0.0250331 - 0.117771i) q^{46} +(-7.70331 - 2.50296i) q^{47} +(1.27982 - 12.1767i) q^{48} +(2.78931 + 3.09784i) q^{49} +(-0.00900518 + 0.0423661i) q^{50} +(6.88951 - 5.00552i) q^{51} +(-7.20011 + 0.377873i) q^{52} +(1.90563 + 1.38452i) q^{53} +(0.0730792 + 0.164139i) q^{54} +(-0.649439 - 6.17900i) q^{55} +(-0.0584515 - 0.101241i) q^{56} +2.40452i q^{57} +(-0.0563710 + 0.126611i) q^{58} +(-1.88307 - 8.85914i) q^{59} +(9.22042 - 2.99589i) q^{60} +(-4.09751 - 7.09710i) q^{61} +(-0.00334257 + 0.0966531i) q^{62} +(-9.29407 - 5.36594i) q^{63} +(2.46990 + 7.60157i) q^{64} +(-2.59185 - 5.08587i) q^{65} +(-0.168880 + 0.122698i) q^{66} +(5.25930 + 3.03646i) q^{67} +(-2.78045 + 4.81588i) q^{68} +(19.3920 + 8.63386i) q^{69} +(0.0271986 - 0.0374356i) q^{70} +(-12.6463 - 1.32918i) q^{71} +(-0.329281 - 0.296486i) q^{72} +(-5.59204 - 7.69679i) q^{73} +(0.0348062 - 0.0386562i) q^{74} +(-5.10953 - 5.67470i) q^{75} +(-0.638640 - 1.43441i) q^{76} +(2.04062 - 6.28037i) q^{77} +(-0.104442 + 0.160853i) q^{78} +(8.58846 + 6.23988i) q^{79} +(-4.70398 + 4.23549i) q^{80} +(-12.2689 - 2.60784i) q^{81} +(-0.0837557 - 0.0372904i) q^{82} +(11.7251 - 3.80972i) q^{83} +(10.2479 + 1.07709i) q^{84} +(-4.37848 - 0.460197i) q^{85} +(-0.0186103 - 0.0256148i) q^{86} +(-12.2171 - 21.1607i) q^{87} +(0.136322 - 0.236117i) q^{88} +(-4.14097 + 0.435233i) q^{89} +(0.0541973 - 0.166802i) q^{90} +(-0.317970 - 6.05869i) q^{91} -13.8613 q^{92} +(-13.4393 - 10.4927i) q^{93} +(0.0703454 - 0.121842i) q^{94} +(0.831799 - 0.923807i) q^{95} +(0.606940 + 0.197207i) q^{96} +(-2.22495 + 4.99732i) q^{97} +(-0.0627062 + 0.0362035i) q^{98} -25.0292i 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.00361138 + 0.0169902i −0.00255363 + 0.0120139i −0.979406 0.201901i \(-0.935288\pi\)
0.976852 + 0.213915i \(0.0686215\pi\)
\(3\) −2.04909 2.27575i −1.18304 1.31390i −0.938910 0.344162i \(-0.888163\pi\)
−0.244134 0.969742i \(-0.578504\pi\)
\(4\) 1.82682 + 0.813351i 0.913408 + 0.406675i
\(5\) 1.58318i 0.708018i 0.935242 + 0.354009i \(0.115182\pi\)
−0.935242 + 0.354009i \(0.884818\pi\)
\(6\) 0.0460655 0.0265959i 0.0188062 0.0108577i
\(7\) −0.684412 + 1.53721i −0.258683 + 0.581012i −0.995466 0.0951174i \(-0.969677\pi\)
0.736783 + 0.676129i \(0.236344\pi\)
\(8\) −0.0408357 + 0.0562056i −0.0144376 + 0.0198717i
\(9\) −0.666663 + 6.34287i −0.222221 + 2.11429i
\(10\) −0.0268985 0.00571745i −0.00850605 0.00180802i
\(11\) −3.90292 + 0.410213i −1.17677 + 0.123684i −0.672659 0.739953i \(-0.734848\pi\)
−0.504115 + 0.863637i \(0.668181\pi\)
\(12\) −1.89233 5.82400i −0.546269 1.68124i
\(13\) −3.21245 + 1.63712i −0.890973 + 0.454056i
\(14\) −0.0236459 0.0171798i −0.00631964 0.00459149i
\(15\) 3.60291 3.24407i 0.930267 0.837616i
\(16\) 2.67531 + 2.97123i 0.668828 + 0.742809i
\(17\) −0.290680 + 2.76563i −0.0705002 + 0.670764i 0.901015 + 0.433788i \(0.142823\pi\)
−0.971515 + 0.236977i \(0.923843\pi\)
\(18\) −0.105359 0.0342333i −0.0248334 0.00806886i
\(19\) −0.583515 0.525399i −0.133868 0.120535i 0.599477 0.800392i \(-0.295375\pi\)
−0.733345 + 0.679857i \(0.762042\pi\)
\(20\) −1.28768 + 2.89217i −0.287933 + 0.646709i
\(21\) 4.90073 1.59234i 1.06943 0.347478i
\(22\) 0.00712531 0.0677928i 0.00151912 0.0144535i
\(23\) −6.33244 + 2.81938i −1.32041 + 0.587882i −0.941331 0.337484i \(-0.890424\pi\)
−0.379074 + 0.925366i \(0.623757\pi\)
\(24\) 0.211586 0.0222386i 0.0431898 0.00453943i
\(25\) 2.49356 0.498711
\(26\) −0.0162137 0.0604925i −0.00317977 0.0118636i
\(27\) 8.36842 6.08001i 1.61050 1.17010i
\(28\) −2.50059 + 2.25154i −0.472567 + 0.425501i
\(29\) 7.80463 + 1.65892i 1.44928 + 0.308055i 0.864294 0.502987i \(-0.167766\pi\)
0.584989 + 0.811041i \(0.301099\pi\)
\(30\) 0.0421060 + 0.0729298i 0.00768747 + 0.0133151i
\(31\) 5.48285 0.968681i 0.984749 0.173980i
\(32\) −0.180476 + 0.104198i −0.0319039 + 0.0184197i
\(33\) 8.93098 + 8.04149i 1.55468 + 1.39984i
\(34\) −0.0459389 0.0149265i −0.00787846 0.00255987i
\(35\) −2.43368 1.08354i −0.411367 0.183152i
\(36\) −6.37685 + 11.0450i −1.06281 + 1.84084i
\(37\) −2.59348 1.49734i −0.426365 0.246162i 0.271432 0.962458i \(-0.412503\pi\)
−0.697797 + 0.716296i \(0.745836\pi\)
\(38\) 0.0110339 0.00801663i 0.00178994 0.00130047i
\(39\) 10.3083 + 3.95611i 1.65065 + 0.633484i
\(40\) −0.0889833 0.0646501i −0.0140695 0.0102221i
\(41\) −1.09741 + 5.16290i −0.171387 + 0.806310i 0.805507 + 0.592586i \(0.201893\pi\)
−0.976894 + 0.213725i \(0.931440\pi\)
\(42\) 0.00935586 + 0.0890151i 0.00144364 + 0.0137353i
\(43\) −1.21969 + 1.35461i −0.186001 + 0.206575i −0.828933 0.559348i \(-0.811051\pi\)
0.642931 + 0.765924i \(0.277718\pi\)
\(44\) −7.46355 2.42506i −1.12517 0.365591i
\(45\) −10.0419 1.05544i −1.49695 0.157336i
\(46\) −0.0250331 0.117771i −0.00369093 0.0173644i
\(47\) −7.70331 2.50296i −1.12364 0.365094i −0.312486 0.949922i \(-0.601162\pi\)
−0.811157 + 0.584828i \(0.801162\pi\)
\(48\) 1.27982 12.1767i 0.184726 1.75755i
\(49\) 2.78931 + 3.09784i 0.398473 + 0.442549i
\(50\) −0.00900518 + 0.0423661i −0.00127353 + 0.00599147i
\(51\) 6.88951 5.00552i 0.964725 0.700913i
\(52\) −7.20011 + 0.377873i −0.998475 + 0.0524016i
\(53\) 1.90563 + 1.38452i 0.261758 + 0.190178i 0.710922 0.703271i \(-0.248278\pi\)
−0.449164 + 0.893449i \(0.648278\pi\)
\(54\) 0.0730792 + 0.164139i 0.00994482 + 0.0223364i
\(55\) −0.649439 6.17900i −0.0875703 0.833176i
\(56\) −0.0584515 0.101241i −0.00781091 0.0135289i
\(57\) 2.40452i 0.318487i
\(58\) −0.0563710 + 0.126611i −0.00740187 + 0.0166249i
\(59\) −1.88307 8.85914i −0.245155 1.15336i −0.912648 0.408746i \(-0.865966\pi\)
0.667494 0.744616i \(-0.267367\pi\)
\(60\) 9.22042 2.99589i 1.19035 0.386768i
\(61\) −4.09751 7.09710i −0.524633 0.908690i −0.999589 0.0286809i \(-0.990869\pi\)
0.474956 0.880010i \(-0.342464\pi\)
\(62\) −0.00334257 + 0.0966531i −0.000424507 + 0.0122750i
\(63\) −9.29407 5.36594i −1.17094 0.676044i
\(64\) 2.46990 + 7.60157i 0.308737 + 0.950196i
\(65\) −2.59185 5.08587i −0.321480 0.630825i
\(66\) −0.168880 + 0.122698i −0.0207877 + 0.0151031i
\(67\) 5.25930 + 3.03646i 0.642526 + 0.370962i 0.785587 0.618752i \(-0.212361\pi\)
−0.143061 + 0.989714i \(0.545695\pi\)
\(68\) −2.78045 + 4.81588i −0.337179 + 0.584011i
\(69\) 19.3920 + 8.63386i 2.33452 + 1.03939i
\(70\) 0.0271986 0.0374356i 0.00325085 0.00447441i
\(71\) −12.6463 1.32918i −1.50084 0.157745i −0.681827 0.731514i \(-0.738814\pi\)
−0.819018 + 0.573768i \(0.805481\pi\)
\(72\) −0.329281 0.296486i −0.0388061 0.0349412i
\(73\) −5.59204 7.69679i −0.654499 0.900841i 0.344784 0.938682i \(-0.387952\pi\)
−0.999284 + 0.0378409i \(0.987952\pi\)
\(74\) 0.0348062 0.0386562i 0.00404614 0.00449370i
\(75\) −5.10953 5.67470i −0.589997 0.655258i
\(76\) −0.638640 1.43441i −0.0732571 0.164538i
\(77\) 2.04062 6.28037i 0.232550 0.715714i
\(78\) −0.104442 + 0.160853i −0.0118258 + 0.0182130i
\(79\) 8.58846 + 6.23988i 0.966277 + 0.702042i 0.954600 0.297890i \(-0.0962830\pi\)
0.0116772 + 0.999932i \(0.496283\pi\)
\(80\) −4.70398 + 4.23549i −0.525921 + 0.473542i
\(81\) −12.2689 2.60784i −1.36321 0.289760i
\(82\) −0.0837557 0.0372904i −0.00924927 0.00411804i
\(83\) 11.7251 3.80972i 1.28700 0.418171i 0.415958 0.909384i \(-0.363446\pi\)
0.871040 + 0.491213i \(0.163446\pi\)
\(84\) 10.2479 + 1.07709i 1.11813 + 0.117521i
\(85\) −4.37848 0.460197i −0.474913 0.0499154i
\(86\) −0.0186103 0.0256148i −0.00200680 0.00276212i
\(87\) −12.2171 21.1607i −1.30981 2.26866i
\(88\) 0.136322 0.236117i 0.0145320 0.0251702i
\(89\) −4.14097 + 0.435233i −0.438942 + 0.0461346i −0.321422 0.946936i \(-0.604161\pi\)
−0.117519 + 0.993071i \(0.537494\pi\)
\(90\) 0.0541973 0.166802i 0.00571289 0.0175825i
\(91\) −0.317970 6.05869i −0.0333323 0.635123i
\(92\) −13.8613 −1.44515
\(93\) −13.4393 10.4927i −1.39360 1.08804i
\(94\) 0.0703454 0.121842i 0.00725557 0.0125670i
\(95\) 0.831799 0.923807i 0.0853408 0.0947806i
\(96\) 0.606940 + 0.197207i 0.0619455 + 0.0201273i
\(97\) −2.22495 + 4.99732i −0.225910 + 0.507401i −0.990566 0.137037i \(-0.956242\pi\)
0.764656 + 0.644438i \(0.222909\pi\)
\(98\) −0.0627062 + 0.0362035i −0.00633429 + 0.00365710i
\(99\) 25.0292i 2.51553i
\(100\) 4.55527 + 2.02814i 0.455527 + 0.202814i
\(101\) −4.22765 + 1.88227i −0.420667 + 0.187293i −0.606143 0.795356i \(-0.707284\pi\)
0.185476 + 0.982649i \(0.440617\pi\)
\(102\) 0.0601643 + 0.135131i 0.00595715 + 0.0133800i
\(103\) 3.19532 + 9.83418i 0.314844 + 0.968990i 0.975819 + 0.218582i \(0.0701431\pi\)
−0.660975 + 0.750408i \(0.729857\pi\)
\(104\) 0.0391673 0.247411i 0.00384067 0.0242606i
\(105\) 2.52096 + 7.75872i 0.246021 + 0.757173i
\(106\) −0.0304052 + 0.0273770i −0.00295322 + 0.00265909i
\(107\) −9.97069 + 4.43924i −0.963903 + 0.429157i −0.827481 0.561493i \(-0.810227\pi\)
−0.136422 + 0.990651i \(0.543560\pi\)
\(108\) 20.2327 4.30060i 1.94690 0.413826i
\(109\) 6.09182 + 1.97935i 0.583491 + 0.189588i 0.585864 0.810409i \(-0.300755\pi\)
−0.00237291 + 0.999997i \(0.500755\pi\)
\(110\) 0.107328 + 0.0112806i 0.0102333 + 0.00107556i
\(111\) 1.90669 + 8.97029i 0.180975 + 0.851422i
\(112\) −6.39843 + 2.07898i −0.604595 + 0.196445i
\(113\) 1.56981 + 0.698924i 0.147675 + 0.0657492i 0.479243 0.877682i \(-0.340911\pi\)
−0.331568 + 0.943431i \(0.607578\pi\)
\(114\) −0.0408534 0.00868366i −0.00382627 0.000813299i
\(115\) −4.46358 10.0254i −0.416231 0.934870i
\(116\) 12.9083 + 9.37845i 1.19851 + 0.870767i
\(117\) −8.24244 21.4676i −0.762014 1.98468i
\(118\) 0.157319 0.0144824
\(119\) −4.05242 2.33967i −0.371485 0.214477i
\(120\) 0.0352076 + 0.334978i 0.00321400 + 0.0305791i
\(121\) 4.30485 0.915025i 0.391350 0.0831841i
\(122\) 0.135379 0.0439873i 0.0122566 0.00398242i
\(123\) 13.9982 8.08184i 1.26217 0.728715i
\(124\) 10.8040 + 2.68988i 0.970231 + 0.241558i
\(125\) 11.8636i 1.06111i
\(126\) 0.124733 0.138530i 0.0111121 0.0123412i
\(127\) 11.8257 + 13.1338i 1.04936 + 1.16543i 0.985880 + 0.167452i \(0.0535538\pi\)
0.0634818 + 0.997983i \(0.479780\pi\)
\(128\) −0.552580 + 0.0580785i −0.0488416 + 0.00513346i
\(129\) 5.58200 0.491468
\(130\) 0.0957702 0.0256691i 0.00839960 0.00225133i
\(131\) 8.06471 5.85936i 0.704617 0.511934i −0.176815 0.984244i \(-0.556580\pi\)
0.881433 + 0.472310i \(0.156580\pi\)
\(132\) 9.77470 + 21.9543i 0.850778 + 1.91088i
\(133\) 1.20702 0.537398i 0.104662 0.0465983i
\(134\) −0.0705834 + 0.0783908i −0.00609748 + 0.00677194i
\(135\) 9.62573 + 13.2487i 0.828451 + 1.14026i
\(136\) −0.143574 0.129274i −0.0123114 0.0110852i
\(137\) 1.42972 + 6.72629i 0.122149 + 0.574666i 0.996068 + 0.0885939i \(0.0282373\pi\)
−0.873919 + 0.486072i \(0.838429\pi\)
\(138\) −0.216723 + 0.298294i −0.0184487 + 0.0253924i
\(139\) 14.9997 3.18828i 1.27226 0.270426i 0.478189 0.878257i \(-0.341293\pi\)
0.794067 + 0.607830i \(0.207960\pi\)
\(140\) −3.56458 3.95887i −0.301262 0.334585i
\(141\) 10.0887 + 22.6596i 0.849621 + 1.90828i
\(142\) 0.0682539 0.210064i 0.00572774 0.0176282i
\(143\) 11.8663 7.70734i 0.992314 0.644520i
\(144\) −20.6297 + 14.9883i −1.71914 + 1.24903i
\(145\) −2.62637 + 12.3561i −0.218108 + 1.02612i
\(146\) 0.150965 0.0672140i 0.0124940 0.00556267i
\(147\) 1.33435 12.6955i 0.110056 1.04711i
\(148\) −3.51994 4.84478i −0.289337 0.398238i
\(149\) −13.5648 + 7.83165i −1.11127 + 0.641594i −0.939159 0.343483i \(-0.888393\pi\)
−0.172114 + 0.985077i \(0.555060\pi\)
\(150\) 0.114867 0.0663184i 0.00937885 0.00541488i
\(151\) −8.58432 11.8153i −0.698582 0.961516i −0.999968 0.00801353i \(-0.997449\pi\)
0.301386 0.953502i \(-0.402551\pi\)
\(152\) 0.0533586 0.0113417i 0.00432796 0.000919936i
\(153\) −17.3483 3.68749i −1.40252 0.298116i
\(154\) 0.0993354 + 0.0573513i 0.00800467 + 0.00462150i
\(155\) 1.53359 + 8.68031i 0.123181 + 0.697220i
\(156\) 15.6136 + 15.6113i 1.25009 + 1.24991i
\(157\) −5.21550 16.0517i −0.416242 1.28106i −0.911135 0.412108i \(-0.864793\pi\)
0.494892 0.868954i \(-0.335207\pi\)
\(158\) −0.137033 + 0.123385i −0.0109018 + 0.00981600i
\(159\) −0.753990 7.17373i −0.0597953 0.568914i
\(160\) −0.164963 0.285725i −0.0130415 0.0225885i
\(161\) 11.6639i 0.919247i
\(162\) 0.0886156 0.199034i 0.00696230 0.0156376i
\(163\) 1.32738 + 0.139513i 0.103968 + 0.0109275i 0.156370 0.987699i \(-0.450021\pi\)
−0.0524014 + 0.998626i \(0.516688\pi\)
\(164\) −6.20402 + 8.53909i −0.484452 + 0.666791i
\(165\) −12.7311 + 14.1393i −0.991114 + 1.10074i
\(166\) 0.0223841 + 0.212971i 0.00173734 + 0.0165297i
\(167\) 4.12613 19.4119i 0.319289 1.50214i −0.466987 0.884264i \(-0.654661\pi\)
0.786277 0.617875i \(-0.212006\pi\)
\(168\) −0.110626 + 0.340473i −0.00853501 + 0.0262681i
\(169\) 7.63966 10.5183i 0.587666 0.809104i
\(170\) 0.0236312 0.0727294i 0.00181243 0.00557809i
\(171\) 3.72155 3.35090i 0.284594 0.256249i
\(172\) −3.32992 + 1.48258i −0.253904 + 0.113045i
\(173\) 7.62045 1.61978i 0.579372 0.123149i 0.0911013 0.995842i \(-0.470961\pi\)
0.488270 + 0.872692i \(0.337628\pi\)
\(174\) 0.403645 0.131152i 0.0306002 0.00994262i
\(175\) −1.70662 + 3.83313i −0.129008 + 0.289757i
\(176\) −11.6604 10.4990i −0.878932 0.791394i
\(177\) −16.3026 + 22.4386i −1.22538 + 1.68659i
\(178\) 0.00755991 0.0719277i 0.000566639 0.00539121i
\(179\) 1.24980 + 11.8911i 0.0934148 + 0.888782i 0.936421 + 0.350879i \(0.114117\pi\)
−0.843006 + 0.537904i \(0.819216\pi\)
\(180\) −17.4862 10.0957i −1.30334 0.752487i
\(181\) −15.0202 −1.11645 −0.558223 0.829691i \(-0.688517\pi\)
−0.558223 + 0.829691i \(0.688517\pi\)
\(182\) 0.104087 + 0.0164779i 0.00771542 + 0.00122142i
\(183\) −7.75503 + 23.8675i −0.573268 + 1.76434i
\(184\) 0.100125 0.471050i 0.00738130 0.0347263i
\(185\) 2.37056 4.10593i 0.174287 0.301874i
\(186\) 0.226807 0.190444i 0.0166303 0.0139641i
\(187\) 10.9133i 0.798057i
\(188\) −12.0367 10.8379i −0.877870 0.790437i
\(189\) 3.61883 + 17.0253i 0.263231 + 1.23841i
\(190\) 0.0126917 + 0.0174687i 0.000920755 + 0.00126731i
\(191\) 9.30098 + 16.1098i 0.672995 + 1.16566i 0.977051 + 0.213007i \(0.0683258\pi\)
−0.304056 + 0.952654i \(0.598341\pi\)
\(192\) 12.2382 21.1972i 0.883216 1.52977i
\(193\) 15.5330 1.63258i 1.11809 0.117516i 0.472594 0.881280i \(-0.343318\pi\)
0.645496 + 0.763764i \(0.276651\pi\)
\(194\) −0.0768704 0.0558496i −0.00551898 0.00400977i
\(195\) −6.26321 + 16.3198i −0.448518 + 1.16869i
\(196\) 2.57592 + 7.92787i 0.183994 + 0.566276i
\(197\) 1.55180 0.163101i 0.110561 0.0116205i −0.0490862 0.998795i \(-0.515631\pi\)
0.159648 + 0.987174i \(0.448964\pi\)
\(198\) 0.425251 + 0.0903899i 0.0302213 + 0.00642373i
\(199\) −17.6006 + 3.74112i −1.24767 + 0.265201i −0.783975 0.620793i \(-0.786811\pi\)
−0.463697 + 0.885994i \(0.653477\pi\)
\(200\) −0.101826 + 0.140152i −0.00720020 + 0.00991023i
\(201\) −3.86658 18.1908i −0.272727 1.28308i
\(202\) −0.0167125 0.0786263i −0.00117589 0.00553213i
\(203\) −7.89170 + 10.8620i −0.553889 + 0.762362i
\(204\) 16.6571 3.54058i 1.16623 0.247890i
\(205\) −8.17378 1.73739i −0.570882 0.121345i
\(206\) −0.178624 + 0.0187742i −0.0124453 + 0.00130806i
\(207\) −13.6614 42.0454i −0.949532 2.92236i
\(208\) −13.4586 5.16513i −0.933184 0.358137i
\(209\) 2.49294 + 1.81122i 0.172440 + 0.125285i
\(210\) −0.140926 + 0.0148120i −0.00972485 + 0.00102212i
\(211\) −0.475406 + 0.823428i −0.0327283 + 0.0566871i −0.881926 0.471389i \(-0.843753\pi\)
0.849197 + 0.528076i \(0.177086\pi\)
\(212\) 2.35513 + 4.07920i 0.161751 + 0.280161i
\(213\) 22.8886 + 31.5035i 1.56830 + 2.15858i
\(214\) −0.0394156 0.185436i −0.00269440 0.0126761i
\(215\) −2.14458 1.93099i −0.146259 0.131692i
\(216\) 0.718634i 0.0488968i
\(217\) −2.26346 + 9.09129i −0.153653 + 0.617157i
\(218\) −0.0556296 + 0.0963532i −0.00376771 + 0.00652586i
\(219\) −6.05733 + 28.4975i −0.409317 + 1.92568i
\(220\) 3.83929 11.8161i 0.258845 0.796642i
\(221\) −3.59389 9.36033i −0.241751 0.629644i
\(222\) −0.159293 −0.0106910
\(223\) 19.9874 + 11.5397i 1.33846 + 0.772758i 0.986579 0.163288i \(-0.0522098\pi\)
0.351878 + 0.936046i \(0.385543\pi\)
\(224\) −0.0366545 0.348744i −0.00244908 0.0233014i
\(225\) −1.66236 + 15.8163i −0.110824 + 1.05442i
\(226\) −0.0175440 + 0.0241473i −0.00116701 + 0.00160625i
\(227\) −5.31880 4.78907i −0.353021 0.317862i 0.473471 0.880809i \(-0.343001\pi\)
−0.826493 + 0.562947i \(0.809667\pi\)
\(228\) −1.95572 + 4.39262i −0.129521 + 0.290909i
\(229\) 26.7436 8.68951i 1.76726 0.574219i 0.769354 0.638823i \(-0.220578\pi\)
0.997911 + 0.0646038i \(0.0205784\pi\)
\(230\) 0.186453 0.0396318i 0.0122943 0.00261324i
\(231\) −18.4739 + 8.22513i −1.21550 + 0.541174i
\(232\) −0.411949 + 0.370920i −0.0270458 + 0.0243521i
\(233\) 5.94470 18.2959i 0.389450 1.19860i −0.543750 0.839247i \(-0.682996\pi\)
0.933200 0.359357i \(-0.117004\pi\)
\(234\) 0.394505 0.0625133i 0.0257896 0.00408662i
\(235\) 3.96262 12.1957i 0.258493 0.795559i
\(236\) 3.76557 17.7156i 0.245118 1.15319i
\(237\) −3.39815 32.3313i −0.220734 2.10014i
\(238\) 0.0543863 0.0604021i 0.00352534 0.00391529i
\(239\) −6.32759 + 8.70918i −0.409298 + 0.563350i −0.963047 0.269334i \(-0.913197\pi\)
0.553749 + 0.832683i \(0.313197\pi\)
\(240\) 19.2778 + 2.02618i 1.24438 + 0.130789i
\(241\) −11.0004 + 24.7074i −0.708600 + 1.59154i 0.0943799 + 0.995536i \(0.469913\pi\)
−0.802980 + 0.596006i \(0.796753\pi\)
\(242\) 0.0764449i 0.00491406i
\(243\) 3.68947 + 6.39036i 0.236680 + 0.409942i
\(244\) −1.71297 16.2978i −0.109662 1.04336i
\(245\) −4.90442 + 4.41596i −0.313332 + 0.282126i
\(246\) 0.0867596 + 0.267018i 0.00553159 + 0.0170245i
\(247\) 2.73466 + 0.732533i 0.174002 + 0.0466099i
\(248\) −0.169451 + 0.347724i −0.0107602 + 0.0220805i
\(249\) −32.6958 18.8769i −2.07201 1.19628i
\(250\) −0.201565 0.0428440i −0.0127481 0.00270970i
\(251\) 4.74125 1.00778i 0.299265 0.0636107i −0.0558322 0.998440i \(-0.517781\pi\)
0.355097 + 0.934829i \(0.384448\pi\)
\(252\) −12.6142 17.3619i −0.794618 1.09370i
\(253\) 23.5584 13.6015i 1.48111 0.855117i
\(254\) −0.265853 + 0.153490i −0.0166811 + 0.00963084i
\(255\) 7.92462 + 10.9073i 0.496259 + 0.683042i
\(256\) −1.66993 + 15.8884i −0.104371 + 0.993022i
\(257\) 21.3498 9.50555i 1.33177 0.592940i 0.387422 0.921902i \(-0.373366\pi\)
0.944343 + 0.328962i \(0.106699\pi\)
\(258\) −0.0201587 + 0.0948394i −0.00125503 + 0.00590445i
\(259\) 4.07674 2.96193i 0.253316 0.184045i
\(260\) −0.598240 11.3990i −0.0371013 0.706938i
\(261\) −15.7254 + 48.3978i −0.973378 + 2.99575i
\(262\) 0.0704270 + 0.158182i 0.00435099 + 0.00977249i
\(263\) 8.57328 + 9.52159i 0.528651 + 0.587127i 0.947030 0.321146i \(-0.104068\pi\)
−0.418379 + 0.908273i \(0.637401\pi\)
\(264\) −0.816680 + 0.173591i −0.0502632 + 0.0106838i
\(265\) −2.19194 + 3.01694i −0.134650 + 0.185329i
\(266\) 0.00477151 + 0.0224482i 0.000292560 + 0.00137639i
\(267\) 9.47571 + 8.53197i 0.579904 + 0.522148i
\(268\) 7.13806 + 9.82470i 0.436027 + 0.600139i
\(269\) −9.82837 + 10.9155i −0.599246 + 0.665530i −0.964102 0.265534i \(-0.914452\pi\)
0.364855 + 0.931064i \(0.381118\pi\)
\(270\) −0.259860 + 0.115697i −0.0158146 + 0.00704110i
\(271\) 6.26824 + 14.0787i 0.380768 + 0.855220i 0.997673 + 0.0681818i \(0.0217198\pi\)
−0.616904 + 0.787038i \(0.711614\pi\)
\(272\) −8.99500 + 6.53525i −0.545402 + 0.396258i
\(273\) −13.1365 + 13.1384i −0.795057 + 0.795174i
\(274\) −0.119444 −0.00721590
\(275\) −9.73214 + 1.02289i −0.586870 + 0.0616825i
\(276\) 28.4032 + 31.5449i 1.70967 + 1.89878i
\(277\) 7.59267 8.43251i 0.456199 0.506660i −0.470533 0.882382i \(-0.655938\pi\)
0.926733 + 0.375722i \(0.122605\pi\)
\(278\) 0.266362i 0.0159753i
\(279\) 2.48901 + 35.4228i 0.149013 + 2.12071i
\(280\) 0.160282 0.0925390i 0.00957870 0.00553026i
\(281\) −9.49852 + 3.08626i −0.566634 + 0.184111i −0.578304 0.815821i \(-0.696285\pi\)
0.0116699 + 0.999932i \(0.496285\pi\)
\(282\) −0.421425 + 0.0895767i −0.0250955 + 0.00533422i
\(283\) −2.44944 23.3049i −0.145604 1.38533i −0.786446 0.617659i \(-0.788081\pi\)
0.640842 0.767673i \(-0.278585\pi\)
\(284\) −22.0214 12.7141i −1.30673 0.754442i
\(285\) −3.80678 −0.225494
\(286\) 0.0880955 + 0.229446i 0.00520919 + 0.0135674i
\(287\) −7.18541 5.22050i −0.424141 0.308157i
\(288\) −0.540597 1.21420i −0.0318550 0.0715474i
\(289\) 9.06428 + 1.92667i 0.533193 + 0.113334i
\(290\) −0.200448 0.0892452i −0.0117707 0.00524066i
\(291\) 15.9318 5.17655i 0.933937 0.303455i
\(292\) −3.95544 18.6089i −0.231475 1.08900i
\(293\) 30.0628 + 3.15973i 1.75629 + 0.184593i 0.927210 0.374541i \(-0.122200\pi\)
0.829077 + 0.559134i \(0.188866\pi\)
\(294\) 0.210881 + 0.0685193i 0.0122988 + 0.00399613i
\(295\) 14.0256 2.98123i 0.816600 0.173574i
\(296\) 0.190066 0.0846226i 0.0110473 0.00491859i
\(297\) −30.1671 + 27.1626i −1.75047 + 1.57613i
\(298\) −0.0840737 0.258752i −0.00487026 0.0149891i
\(299\) 15.7270 19.4241i 0.909514 1.12333i
\(300\) −4.71864 14.5225i −0.272431 0.838455i
\(301\) −1.24755 2.80203i −0.0719074 0.161507i
\(302\) 0.231746 0.103180i 0.0133355 0.00593734i
\(303\) 12.9464 + 5.76412i 0.743753 + 0.331140i
\(304\) 3.13937i 0.180055i
\(305\) 11.2360 6.48708i 0.643369 0.371449i
\(306\) 0.125302 0.281434i 0.00716306 0.0160885i
\(307\) −2.22458 0.722809i −0.126963 0.0412529i 0.244846 0.969562i \(-0.421263\pi\)
−0.371810 + 0.928309i \(0.621263\pi\)
\(308\) 8.83597 9.81334i 0.503476 0.559167i
\(309\) 15.8326 27.4229i 0.900685 1.56003i
\(310\) −0.153019 0.00529188i −0.00869089 0.000300558i
\(311\) 19.9998 1.13408 0.567042 0.823689i \(-0.308088\pi\)
0.567042 + 0.823689i \(0.308088\pi\)
\(312\) −0.643302 + 0.417832i −0.0364198 + 0.0236551i
\(313\) −8.21322 + 25.2777i −0.464239 + 1.42878i 0.395699 + 0.918380i \(0.370502\pi\)
−0.859938 + 0.510399i \(0.829498\pi\)
\(314\) 0.291557 0.0306438i 0.0164535 0.00172933i
\(315\) 8.49522 14.7141i 0.478651 0.829048i
\(316\) 10.6143 + 18.3845i 0.597102 + 1.03421i
\(317\) 11.1155 + 15.2991i 0.624307 + 0.859284i 0.997658 0.0684058i \(-0.0217913\pi\)
−0.373351 + 0.927690i \(0.621791\pi\)
\(318\) 0.124606 + 0.0130966i 0.00698757 + 0.000734423i
\(319\) −31.1413 3.27308i −1.74358 0.183258i
\(320\) −12.0346 + 3.91028i −0.672755 + 0.218591i
\(321\) 30.5335 + 13.5944i 1.70421 + 0.758764i
\(322\) 0.198173 + 0.0421229i 0.0110437 + 0.00234742i
\(323\) 1.62268 1.46107i 0.0902882 0.0812958i
\(324\) −20.2920 14.7430i −1.12733 0.819054i
\(325\) −8.01042 + 4.08226i −0.444338 + 0.226443i
\(326\) −0.00716403 + 0.0220486i −0.000396779 + 0.00122116i
\(327\) −7.97820 17.9193i −0.441196 0.990942i
\(328\) −0.245371 0.272512i −0.0135483 0.0150469i
\(329\) 9.11981 10.1286i 0.502792 0.558407i
\(330\) −0.194253 0.267366i −0.0106933 0.0147180i
\(331\) −1.21252 1.09176i −0.0666461 0.0600084i 0.635135 0.772402i \(-0.280945\pi\)
−0.701781 + 0.712393i \(0.747611\pi\)
\(332\) 24.5182 + 2.57697i 1.34561 + 0.141430i
\(333\) 11.2264 15.4519i 0.615205 0.846756i
\(334\) 0.314912 + 0.140208i 0.0172312 + 0.00767182i
\(335\) −4.80724 + 8.32639i −0.262648 + 0.454919i
\(336\) 17.8422 + 10.3012i 0.973373 + 0.561977i
\(337\) 5.77801 4.19797i 0.314748 0.228678i −0.419183 0.907902i \(-0.637683\pi\)
0.733931 + 0.679224i \(0.237683\pi\)
\(338\) 0.151119 + 0.167785i 0.00821980 + 0.00912631i
\(339\) −1.62611 5.00465i −0.0883181 0.271815i
\(340\) −7.62437 4.40193i −0.413490 0.238728i
\(341\) −21.0017 + 6.02982i −1.13731 + 0.326533i
\(342\) 0.0434925 + 0.0753313i 0.00235181 + 0.00407345i
\(343\) −17.8734 + 5.80742i −0.965073 + 0.313571i
\(344\) −0.0263293 0.123870i −0.00141958 0.00667861i
\(345\) −13.6689 + 30.7009i −0.735909 + 1.65288i
\(346\) 0.135323i 0.00727499i
\(347\) −7.86685 13.6258i −0.422315 0.731471i 0.573851 0.818960i \(-0.305449\pi\)
−0.996165 + 0.0874894i \(0.972116\pi\)
\(348\) −5.10737 48.5934i −0.273784 2.60488i
\(349\) 4.98666 + 11.2002i 0.266930 + 0.599535i 0.996428 0.0844485i \(-0.0269128\pi\)
−0.729498 + 0.683983i \(0.760246\pi\)
\(350\) −0.0589624 0.0428387i −0.00315167 0.00228983i
\(351\) −16.9294 + 33.2319i −0.903624 + 1.77379i
\(352\) 0.661639 0.480709i 0.0352655 0.0256219i
\(353\) −1.54537 + 7.27037i −0.0822515 + 0.386963i −0.999947 0.0103222i \(-0.996714\pi\)
0.917695 + 0.397285i \(0.130048\pi\)
\(354\) −0.322362 0.358019i −0.0171333 0.0190285i
\(355\) 2.10433 20.0214i 0.111686 1.06262i
\(356\) −7.91878 2.57297i −0.419695 0.136367i
\(357\) 2.97930 + 14.0165i 0.157681 + 0.741831i
\(358\) −0.206546 0.0217088i −0.0109163 0.00114735i
\(359\) 13.8106 + 4.48734i 0.728897 + 0.236833i 0.649876 0.760040i \(-0.274821\pi\)
0.0790205 + 0.996873i \(0.474821\pi\)
\(360\) 0.469389 0.521310i 0.0247390 0.0274754i
\(361\) −1.92160 18.2828i −0.101137 0.962250i
\(362\) 0.0542439 0.255197i 0.00285099 0.0134129i
\(363\) −10.9034 7.92179i −0.572281 0.415786i
\(364\) 4.34696 11.3267i 0.227843 0.593681i
\(365\) 12.1854 8.85319i 0.637811 0.463397i
\(366\) −0.377508 0.217954i −0.0197327 0.0113927i
\(367\) −6.03272 + 10.4490i −0.314905 + 0.545432i −0.979417 0.201846i \(-0.935306\pi\)
0.664512 + 0.747278i \(0.268639\pi\)
\(368\) −25.3183 11.2724i −1.31981 0.587616i
\(369\) −32.0160 10.4026i −1.66669 0.541540i
\(370\) 0.0611996 + 0.0551044i 0.00318162 + 0.00286474i
\(371\) −3.43253 + 1.98177i −0.178208 + 0.102889i
\(372\) −16.0170 30.0991i −0.830442 1.56056i
\(373\) −14.2262 24.6404i −0.736602 1.27583i −0.954017 0.299753i \(-0.903096\pi\)
0.217415 0.976079i \(-0.430238\pi\)
\(374\) 0.185419 + 0.0394120i 0.00958778 + 0.00203795i
\(375\) 26.9986 24.3096i 1.39420 1.25534i
\(376\) 0.455251 0.330759i 0.0234778 0.0170576i
\(377\) −27.7878 + 7.44792i −1.43115 + 0.383587i
\(378\) −0.302332 −0.0155503
\(379\) 19.7468 2.07547i 1.01433 0.106610i 0.417247 0.908793i \(-0.362995\pi\)
0.597078 + 0.802183i \(0.296328\pi\)
\(380\) 2.27092 1.01108i 0.116496 0.0518673i
\(381\) 5.65720 53.8247i 0.289827 2.75752i
\(382\) −0.307298 + 0.0998471i −0.0157227 + 0.00510862i
\(383\) −14.5273 + 32.6289i −0.742312 + 1.66726i 0.00251092 + 0.999997i \(0.499201\pi\)
−0.744823 + 0.667263i \(0.767466\pi\)
\(384\) 1.26446 + 1.13852i 0.0645267 + 0.0581001i
\(385\) 9.94293 + 3.23065i 0.506738 + 0.164649i
\(386\) −0.0283576 + 0.269805i −0.00144337 + 0.0137327i
\(387\) −7.77896 8.63941i −0.395427 0.439166i
\(388\) −8.12915 + 7.31952i −0.412695 + 0.371592i
\(389\) 3.23035 + 2.34699i 0.163785 + 0.118997i 0.666659 0.745363i \(-0.267724\pi\)
−0.502873 + 0.864360i \(0.667724\pi\)
\(390\) −0.254658 0.165350i −0.0128951 0.00837285i
\(391\) −5.95667 18.3327i −0.301242 0.927127i
\(392\) −0.288019 + 0.0302721i −0.0145472 + 0.00152897i
\(393\) −29.8598 6.34689i −1.50623 0.320158i
\(394\) −0.00283303 + 0.0269545i −0.000142726 + 0.00135795i
\(395\) −9.87883 + 13.5970i −0.497058 + 0.684141i
\(396\) 20.3575 45.7237i 1.02300 2.29770i
\(397\) −18.3917 + 10.6185i −0.923054 + 0.532926i −0.884608 0.466335i \(-0.845574\pi\)
−0.0384460 + 0.999261i \(0.512241\pi\)
\(398\) 0.312548i 0.0156666i
\(399\) −3.69627 1.64568i −0.185045 0.0823873i
\(400\) 6.67104 + 7.40894i 0.333552 + 0.370447i
\(401\) 0.0389453 0.183223i 0.00194483 0.00914973i −0.977164 0.212484i \(-0.931845\pi\)
0.979109 + 0.203335i \(0.0651779\pi\)
\(402\) 0.323030 0.0161113
\(403\) −16.0275 + 12.0879i −0.798388 + 0.602143i
\(404\) −9.25409 −0.460408
\(405\) 4.12867 19.4239i 0.205155 0.965179i
\(406\) −0.156048 0.173309i −0.00774452 0.00860116i
\(407\) 10.7363 + 4.78013i 0.532181 + 0.236942i
\(408\) 0.591633i 0.0292902i
\(409\) 12.8141 7.39825i 0.633618 0.365820i −0.148534 0.988907i \(-0.547455\pi\)
0.782152 + 0.623088i \(0.214122\pi\)
\(410\) 0.0590373 0.132600i 0.00291565 0.00654865i
\(411\) 12.3777 17.0365i 0.610548 0.840347i
\(412\) −2.16138 + 20.5641i −0.106483 + 1.01312i
\(413\) 14.9072 + 3.16862i 0.733534 + 0.155918i
\(414\) 0.763697 0.0802678i 0.0375337 0.00394495i
\(415\) 6.03145 + 18.5629i 0.296072 + 0.911217i
\(416\) 0.409185 0.630191i 0.0200619 0.0308977i
\(417\) −37.9915 27.6024i −1.86045 1.35170i
\(418\) −0.0397760 + 0.0358145i −0.00194551 + 0.00175174i
\(419\) −20.3444 22.5947i −0.993889 1.10383i −0.994596 0.103826i \(-0.966892\pi\)
0.000706692 1.00000i \(-0.499775\pi\)
\(420\) −1.70523 + 16.2242i −0.0832067 + 0.791659i
\(421\) 15.3312 + 4.98140i 0.747195 + 0.242778i 0.657774 0.753215i \(-0.271498\pi\)
0.0894214 + 0.995994i \(0.471498\pi\)
\(422\) −0.0122733 0.0110510i −0.000597457 0.000537953i
\(423\) 21.0114 47.1925i 1.02161 2.29458i
\(424\) −0.155635 + 0.0505690i −0.00755832 + 0.00245585i
\(425\) −0.724826 + 6.89626i −0.0351592 + 0.334518i
\(426\) −0.617911 + 0.275112i −0.0299379 + 0.0133292i
\(427\) 13.7141 1.44141i 0.663674 0.0697549i
\(428\) −21.8253 −1.05496
\(429\) −41.8552 11.2118i −2.02079 0.541309i
\(430\) 0.0405528 0.0294633i 0.00195563 0.00142085i
\(431\) 2.14991 1.93579i 0.103557 0.0932436i −0.615726 0.787961i \(-0.711137\pi\)
0.719283 + 0.694717i \(0.244470\pi\)
\(432\) 40.4533 + 8.59861i 1.94631 + 0.413701i
\(433\) −6.52663 11.3045i −0.313650 0.543257i 0.665500 0.746398i \(-0.268218\pi\)
−0.979150 + 0.203141i \(0.934885\pi\)
\(434\) −0.146289 0.0712888i −0.00702209 0.00342197i
\(435\) 33.5010 19.3418i 1.60625 0.927370i
\(436\) 9.51873 + 8.57070i 0.455864 + 0.410462i
\(437\) 5.17638 + 1.68191i 0.247620 + 0.0804565i
\(438\) −0.462304 0.205831i −0.0220897 0.00983498i
\(439\) −2.26712 + 3.92676i −0.108204 + 0.187414i −0.915043 0.403357i \(-0.867843\pi\)
0.806839 + 0.590772i \(0.201177\pi\)
\(440\) 0.373815 + 0.215822i 0.0178209 + 0.0102889i
\(441\) −21.5087 + 15.6270i −1.02423 + 0.744143i
\(442\) 0.172013 0.0272572i 0.00818182 0.00129649i
\(443\) 12.4944 + 9.07769i 0.593625 + 0.431294i 0.843611 0.536956i \(-0.180426\pi\)
−0.249985 + 0.968250i \(0.580426\pi\)
\(444\) −3.81281 + 17.9379i −0.180948 + 0.851294i
\(445\) −0.689051 6.55588i −0.0326641 0.310778i
\(446\) −0.268245 + 0.297916i −0.0127018 + 0.0141067i
\(447\) 45.6184 + 14.8223i 2.15768 + 0.701072i
\(448\) −13.3757 1.40584i −0.631940 0.0664196i
\(449\) −6.64592 31.2666i −0.313641 1.47556i −0.799044 0.601273i \(-0.794661\pi\)
0.485403 0.874290i \(-0.338673\pi\)
\(450\) −0.262719 0.0853626i −0.0123847 0.00402403i
\(451\) 2.16521 20.6006i 0.101956 0.970042i
\(452\) 2.29928 + 2.55361i 0.108149 + 0.120112i
\(453\) −9.29859 + 43.7464i −0.436886 + 2.05539i
\(454\) 0.100576 0.0730724i 0.00472025 0.00342946i
\(455\) 9.59196 0.503402i 0.449678 0.0235998i
\(456\) −0.135148 0.0981906i −0.00632887 0.00459819i
\(457\) 6.84478 + 15.3736i 0.320185 + 0.719148i 0.999897 0.0143309i \(-0.00456183\pi\)
−0.679712 + 0.733479i \(0.737895\pi\)
\(458\) 0.0510555 + 0.485760i 0.00238566 + 0.0226981i
\(459\) 14.3825 + 24.9113i 0.671320 + 1.16276i
\(460\) 21.9449i 1.02319i
\(461\) 4.76499 10.7023i 0.221928 0.498458i −0.767928 0.640537i \(-0.778712\pi\)
0.989855 + 0.142079i \(0.0453786\pi\)
\(462\) −0.0730303 0.343580i −0.00339768 0.0159848i
\(463\) −27.3133 + 8.87463i −1.26936 + 0.412439i −0.864820 0.502083i \(-0.832567\pi\)
−0.404537 + 0.914522i \(0.632567\pi\)
\(464\) 15.9508 + 27.6275i 0.740495 + 1.28258i
\(465\) 16.6117 21.2768i 0.770351 0.986690i
\(466\) 0.289383 + 0.167075i 0.0134054 + 0.00773961i
\(467\) 2.77070 + 8.52733i 0.128213 + 0.394598i 0.994473 0.104995i \(-0.0334828\pi\)
−0.866260 + 0.499593i \(0.833483\pi\)
\(468\) 2.40324 45.9213i 0.111090 2.12271i
\(469\) −8.26721 + 6.00648i −0.381744 + 0.277353i
\(470\) 0.192897 + 0.111369i 0.00889767 + 0.00513707i
\(471\) −25.8425 + 44.7605i −1.19076 + 2.06246i
\(472\) 0.574829 + 0.255931i 0.0264587 + 0.0117802i
\(473\) 4.20468 5.78724i 0.193331 0.266098i
\(474\) 0.561587 + 0.0590252i 0.0257946 + 0.00271112i
\(475\) −1.45503 1.31011i −0.0667612 0.0601121i
\(476\) −5.50006 7.57018i −0.252095 0.346979i
\(477\) −10.0522 + 11.1641i −0.460260 + 0.511171i
\(478\) −0.125119 0.138959i −0.00572283 0.00635585i
\(479\) −1.84395 4.14158i −0.0842523 0.189234i 0.866506 0.499166i \(-0.166360\pi\)
−0.950759 + 0.309932i \(0.899694\pi\)
\(480\) −0.312213 + 0.960892i −0.0142505 + 0.0438585i
\(481\) 10.7827 + 0.564303i 0.491651 + 0.0257300i
\(482\) −0.380057 0.276128i −0.0173111 0.0125773i
\(483\) −26.5442 + 23.9005i −1.20780 + 1.08751i
\(484\) 8.60841 + 1.82977i 0.391291 + 0.0831715i
\(485\) −7.91164 3.52249i −0.359249 0.159948i
\(486\) −0.121898 + 0.0396070i −0.00552939 + 0.00179661i
\(487\) 19.5949 + 2.05951i 0.887932 + 0.0933254i 0.537501 0.843263i \(-0.319368\pi\)
0.350431 + 0.936589i \(0.386035\pi\)
\(488\) 0.566222 + 0.0595123i 0.0256316 + 0.00269399i
\(489\) −2.40243 3.30666i −0.108641 0.149532i
\(490\) −0.0573164 0.0992750i −0.00258929 0.00448479i
\(491\) −2.47836 + 4.29265i −0.111847 + 0.193724i −0.916515 0.400001i \(-0.869010\pi\)
0.804668 + 0.593725i \(0.202343\pi\)
\(492\) 32.1454 3.37862i 1.44923 0.152320i
\(493\) −6.85662 + 21.1025i −0.308807 + 0.950410i
\(494\) −0.0223218 + 0.0438169i −0.00100430 + 0.00197142i
\(495\) 39.6256 1.78104
\(496\) 17.5465 + 13.6993i 0.787862 + 0.615117i
\(497\) 10.6985 18.5304i 0.479895 0.831203i
\(498\) 0.438800 0.487337i 0.0196631 0.0218381i
\(499\) −16.8758 5.48328i −0.755465 0.245465i −0.0941338 0.995560i \(-0.530008\pi\)
−0.661331 + 0.750094i \(0.730008\pi\)
\(500\) −9.64928 + 21.6726i −0.431529 + 0.969229i
\(501\) −52.6314 + 30.3868i −2.35140 + 1.35758i
\(502\) 0.0841943i 0.00375778i
\(503\) −8.00246 3.56292i −0.356812 0.158863i 0.220499 0.975387i \(-0.429231\pi\)
−0.577311 + 0.816524i \(0.695898\pi\)
\(504\) 0.681126 0.303257i 0.0303398 0.0135081i
\(505\) −2.97997 6.69311i −0.132607 0.297840i
\(506\) 0.146013 + 0.449383i 0.00649109 + 0.0199775i
\(507\) −39.5915 + 4.16713i −1.75832 + 0.185069i
\(508\) 10.9210 + 33.6114i 0.484542 + 1.49127i
\(509\) −10.4297 + 9.39093i −0.462288 + 0.416246i −0.867085 0.498161i \(-0.834009\pi\)
0.404797 + 0.914407i \(0.367342\pi\)
\(510\) −0.213936 + 0.0952506i −0.00947326 + 0.00421777i
\(511\) 15.6589 3.32839i 0.692707 0.147240i
\(512\) −1.32077 0.429146i −0.0583706 0.0189657i
\(513\) −8.07753 0.848983i −0.356632 0.0374835i
\(514\) 0.0843990 + 0.397066i 0.00372268 + 0.0175138i
\(515\) −15.5692 + 5.05875i −0.686062 + 0.222915i
\(516\) 10.1973 + 4.54012i 0.448911 + 0.199868i
\(517\) 31.0921 + 6.60883i 1.36743 + 0.290656i
\(518\) 0.0356011 + 0.0799614i 0.00156422 + 0.00351330i
\(519\) −19.3012 14.0231i −0.847229 0.615548i
\(520\) 0.391695 + 0.0620087i 0.0171769 + 0.00271926i
\(521\) 12.5974 0.551901 0.275950 0.961172i \(-0.411007\pi\)
0.275950 + 0.961172i \(0.411007\pi\)
\(522\) −0.765499 0.441961i −0.0335050 0.0193441i
\(523\) 1.30039 + 12.3723i 0.0568619 + 0.541005i 0.985459 + 0.169915i \(0.0543492\pi\)
−0.928597 + 0.371090i \(0.878984\pi\)
\(524\) 19.4985 4.14452i 0.851794 0.181054i
\(525\) 12.2203 3.97060i 0.533336 0.173291i
\(526\) −0.192735 + 0.111276i −0.00840366 + 0.00485185i
\(527\) 1.08526 + 15.4451i 0.0472748 + 0.672800i
\(528\) 48.0495i 2.09109i
\(529\) 16.7609 18.6148i 0.728733 0.809341i
\(530\) −0.0433426 0.0481368i −0.00188268 0.00209093i
\(531\) 57.4477 6.03800i 2.49302 0.262027i
\(532\) 2.64209 0.114549
\(533\) −4.92694 18.3822i −0.213409 0.796220i
\(534\) −0.179180 + 0.130182i −0.00775389 + 0.00563353i
\(535\) −7.02809 15.7854i −0.303851 0.682460i
\(536\) −0.385433 + 0.171606i −0.0166482 + 0.00741225i
\(537\) 24.5002 27.2102i 1.05726 1.17421i
\(538\) −0.149963 0.206406i −0.00646536 0.00889880i
\(539\) −12.1572 10.9464i −0.523648 0.471495i
\(540\) 6.80861 + 32.0320i 0.292996 + 1.37844i
\(541\) −21.9941 + 30.2722i −0.945598 + 1.30150i 0.00785680 + 0.999969i \(0.497499\pi\)
−0.953455 + 0.301535i \(0.902501\pi\)
\(542\) −0.261837 + 0.0556552i −0.0112469 + 0.00239060i
\(543\) 30.7779 + 34.1823i 1.32081 + 1.46690i
\(544\) −0.235712 0.529418i −0.0101061 0.0226986i
\(545\) −3.13366 + 9.64443i −0.134231 + 0.413122i
\(546\) −0.175784 0.270640i −0.00752285 0.0115823i
\(547\) −25.1979 + 18.3073i −1.07738 + 0.782765i −0.977225 0.212207i \(-0.931935\pi\)
−0.100159 + 0.994971i \(0.531935\pi\)
\(548\) −2.85900 + 13.4505i −0.122131 + 0.574579i
\(549\) 47.7476 21.2586i 2.03782 0.907296i
\(550\) 0.0177674 0.169045i 0.000757603 0.00720811i
\(551\) −3.68252 5.06855i −0.156881 0.215928i
\(552\) −1.27716 + 0.737367i −0.0543594 + 0.0313844i
\(553\) −15.4701 + 8.93165i −0.657854 + 0.379812i
\(554\) 0.115850 + 0.159454i 0.00492200 + 0.00677455i
\(555\) −14.2015 + 3.01863i −0.602822 + 0.128134i
\(556\) 29.9948 + 6.37560i 1.27206 + 0.270386i
\(557\) 10.3066 + 5.95053i 0.436705 + 0.252132i 0.702199 0.711981i \(-0.252202\pi\)
−0.265494 + 0.964113i \(0.585535\pi\)
\(558\) −0.610830 0.0856365i −0.0258585 0.00362528i
\(559\) 1.70054 6.34839i 0.0719253 0.268508i
\(560\) −3.29139 10.1298i −0.139086 0.428064i
\(561\) −24.8359 + 22.3623i −1.04857 + 0.944137i
\(562\) −0.0181334 0.172528i −0.000764910 0.00727764i
\(563\) 12.7383 + 22.0634i 0.536856 + 0.929861i 0.999071 + 0.0430936i \(0.0137214\pi\)
−0.462215 + 0.886768i \(0.652945\pi\)
\(564\) 49.6005i 2.08856i
\(565\) −1.10652 + 2.48528i −0.0465516 + 0.104557i
\(566\) 0.404801 + 0.0425463i 0.0170151 + 0.00178835i
\(567\) 12.4058 17.0751i 0.520995 0.717088i
\(568\) 0.591130 0.656517i 0.0248033 0.0275468i
\(569\) −3.04102 28.9334i −0.127486 1.21295i −0.851945 0.523631i \(-0.824577\pi\)
0.724459 0.689318i \(-0.242090\pi\)
\(570\) 0.0137478 0.0646781i 0.000575830 0.00270907i
\(571\) 3.82116 11.7603i 0.159911 0.492155i −0.838715 0.544571i \(-0.816692\pi\)
0.998625 + 0.0524166i \(0.0166924\pi\)
\(572\) 27.9464 4.42838i 1.16850 0.185160i
\(573\) 17.6032 54.1771i 0.735384 2.26328i
\(574\) 0.114647 0.103228i 0.00478526 0.00430867i
\(575\) −15.7903 + 7.03029i −0.658501 + 0.293183i
\(576\) −49.8623 + 10.5986i −2.07760 + 0.441607i
\(577\) 11.7574 3.82021i 0.489467 0.159038i −0.0538768 0.998548i \(-0.517158\pi\)
0.543344 + 0.839510i \(0.317158\pi\)
\(578\) −0.0654692 + 0.147046i −0.00272316 + 0.00611631i
\(579\) −35.5439 32.0039i −1.47715 1.33004i
\(580\) −14.8477 + 20.4361i −0.616518 + 0.848565i
\(581\) −2.16845 + 20.6314i −0.0899624 + 0.855935i
\(582\) 0.0304149 + 0.289379i 0.00126074 + 0.0119951i
\(583\) −8.00545 4.62195i −0.331552 0.191422i
\(584\) 0.660958 0.0273506
\(585\) 33.9869 13.0492i 1.40519 0.539519i
\(586\) −0.162253 + 0.499363i −0.00670260 + 0.0206285i
\(587\) −4.66438 + 21.9442i −0.192519 + 0.905733i 0.770738 + 0.637152i \(0.219888\pi\)
−0.963257 + 0.268580i \(0.913446\pi\)
\(588\) 12.7635 22.1071i 0.526359 0.911681i
\(589\) −3.70827 2.31545i −0.152797 0.0954063i
\(590\) 0.249064i 0.0102538i
\(591\) −3.55096 3.19730i −0.146067 0.131519i
\(592\) −2.48940 11.7117i −0.102314 0.481347i
\(593\) −20.8344 28.6761i −0.855566 1.17759i −0.982609 0.185688i \(-0.940549\pi\)
0.127043 0.991897i \(-0.459451\pi\)
\(594\) −0.352554 0.610641i −0.0144655 0.0250549i
\(595\) 3.70410 6.41570i 0.151853 0.263018i
\(596\) −31.1503 + 3.27403i −1.27597 + 0.134109i
\(597\) 44.5791 + 32.3886i 1.82450 + 1.32558i
\(598\) 0.273224 + 0.337352i 0.0111730 + 0.0137954i
\(599\) 8.84491 + 27.2218i 0.361393 + 1.11225i 0.952209 + 0.305448i \(0.0988061\pi\)
−0.590816 + 0.806807i \(0.701194\pi\)
\(600\) 0.527601 0.0554531i 0.0215392 0.00226387i
\(601\) −44.4843 9.45543i −1.81455 0.385695i −0.829578 0.558392i \(-0.811419\pi\)
−0.984975 + 0.172697i \(0.944752\pi\)
\(602\) 0.0521125 0.0110769i 0.00212395 0.000451459i
\(603\) −22.7660 + 31.3348i −0.927105 + 1.27605i
\(604\) −6.07198 28.5664i −0.247066 1.16235i
\(605\) 1.44864 + 6.81534i 0.0588958 + 0.277083i
\(606\) −0.144688 + 0.199146i −0.00587756 + 0.00808976i
\(607\) 3.71126 0.788852i 0.150635 0.0320185i −0.131977 0.991253i \(-0.542132\pi\)
0.282612 + 0.959234i \(0.408799\pi\)
\(608\) 0.160056 + 0.0340209i 0.00649112 + 0.00137973i
\(609\) 40.8900 4.29771i 1.65695 0.174152i
\(610\) 0.0696396 + 0.214329i 0.00281962 + 0.00867791i
\(611\) 28.8441 4.57064i 1.16691 0.184908i
\(612\) −28.6929 20.8466i −1.15984 0.842673i
\(613\) −10.8901 + 1.14460i −0.439849 + 0.0462300i −0.321865 0.946786i \(-0.604310\pi\)
−0.117984 + 0.993016i \(0.537643\pi\)
\(614\) 0.0203145 0.0351857i 0.000819826 0.00141998i
\(615\) 12.7950 + 22.1615i 0.515943 + 0.893640i
\(616\) 0.269662 + 0.371158i 0.0108650 + 0.0149544i
\(617\) 1.58628 + 7.46288i 0.0638614 + 0.300444i 0.998474 0.0552230i \(-0.0175870\pi\)
−0.934613 + 0.355667i \(0.884254\pi\)
\(618\) 0.408743 + 0.368034i 0.0164421 + 0.0148045i
\(619\) 15.0132i 0.603432i 0.953398 + 0.301716i \(0.0975594\pi\)
−0.953398 + 0.301716i \(0.902441\pi\)
\(620\) −4.25855 + 17.1047i −0.171027 + 0.686940i
\(621\) −35.8506 + 62.0951i −1.43864 + 2.49179i
\(622\) −0.0722269 + 0.339801i −0.00289604 + 0.0136248i
\(623\) 2.16508 6.66343i 0.0867421 0.266965i
\(624\) 15.8233 + 41.2121i 0.633441 + 1.64981i
\(625\) −6.31440 −0.252576
\(626\) −0.399812 0.230832i −0.0159797 0.00922589i
\(627\) −0.986367 9.38466i −0.0393917 0.374787i
\(628\) 3.52787 33.5655i 0.140777 1.33941i
\(629\) 4.89497 6.73735i 0.195175 0.268636i
\(630\) 0.219317 + 0.197474i 0.00873780 + 0.00786755i
\(631\) 4.44519 9.98406i 0.176960 0.397459i −0.803188 0.595726i \(-0.796864\pi\)
0.980148 + 0.198267i \(0.0635312\pi\)
\(632\) −0.701432 + 0.227909i −0.0279015 + 0.00906574i
\(633\) 2.84807 0.605375i 0.113200 0.0240615i
\(634\) −0.300078 + 0.133603i −0.0119176 + 0.00530606i
\(635\) −20.7931 + 18.7222i −0.825148 + 0.742967i
\(636\) 4.45736 13.7183i 0.176746 0.543968i
\(637\) −14.0321 5.38522i −0.555970 0.213370i
\(638\) 0.168074 0.517277i 0.00665410 0.0204792i
\(639\) 16.8617 79.3280i 0.667038 3.13817i
\(640\) −0.0919484 0.874831i −0.00363458 0.0345807i
\(641\) 15.0754 16.7429i 0.595442 0.661305i −0.367811 0.929900i \(-0.619893\pi\)
0.963253 + 0.268595i \(0.0865594\pi\)
\(642\) −0.341239 + 0.469676i −0.0134676 + 0.0185366i
\(643\) −37.1254 3.90204i −1.46408 0.153881i −0.661286 0.750134i \(-0.729989\pi\)
−0.802797 + 0.596252i \(0.796656\pi\)
\(644\) 9.48687 21.3078i 0.373835 0.839647i
\(645\) 8.83729i 0.347968i
\(646\) 0.0189637 + 0.0328461i 0.000746117 + 0.00129231i
\(647\) 1.92720 + 18.3361i 0.0757662 + 0.720867i 0.964793 + 0.263011i \(0.0847156\pi\)
−0.889027 + 0.457856i \(0.848618\pi\)
\(648\) 0.647586 0.583089i 0.0254396 0.0229059i
\(649\) 10.9836 + 33.8040i 0.431144 + 1.32692i
\(650\) −0.0404297 0.150841i −0.00158578 0.00591649i
\(651\) 25.3275 13.4778i 0.992664 0.528238i
\(652\) 2.31140 + 1.33449i 0.0905216 + 0.0522626i
\(653\) −6.08076 1.29251i −0.237958 0.0505796i 0.0873886 0.996174i \(-0.472148\pi\)
−0.325347 + 0.945595i \(0.605481\pi\)
\(654\) 0.333266 0.0708378i 0.0130317 0.00276998i
\(655\) 9.27639 + 12.7679i 0.362459 + 0.498881i
\(656\) −18.2761 + 10.5517i −0.713562 + 0.411975i
\(657\) 52.5477 30.3385i 2.05008 1.18362i
\(658\) 0.139152 + 0.191526i 0.00542470 + 0.00746645i
\(659\) 3.48549 33.1622i 0.135775 1.29182i −0.688337 0.725391i \(-0.741659\pi\)
0.824112 0.566426i \(-0.191674\pi\)
\(660\) −34.7576 + 15.4751i −1.35294 + 0.602366i
\(661\) 7.62538 35.8746i 0.296593 1.39536i −0.537280 0.843404i \(-0.680548\pi\)
0.833873 0.551957i \(-0.186119\pi\)
\(662\) 0.0229281 0.0166582i 0.000891125 0.000647440i
\(663\) −13.9376 + 27.3590i −0.541290 + 1.06253i
\(664\) −0.264676 + 0.814589i −0.0102714 + 0.0316122i
\(665\) 0.850795 + 1.91092i 0.0329924 + 0.0741022i
\(666\) 0.221987 + 0.246542i 0.00860184 + 0.00955331i
\(667\) −54.0995 + 11.4992i −2.09474 + 0.445251i
\(668\) 23.3264 32.1060i 0.902524 1.24222i
\(669\) −14.6945 69.1323i −0.568123 2.67281i
\(670\) −0.124106 0.111746i −0.00479465 0.00431712i
\(671\) 18.9036 + 26.0185i 0.729764 + 1.00443i
\(672\) −0.718545 + 0.798025i −0.0277185 + 0.0307845i
\(673\) −38.6732 + 17.2184i −1.49074 + 0.663722i −0.980538 0.196331i \(-0.937097\pi\)
−0.510205 + 0.860053i \(0.670431\pi\)
\(674\) 0.0504578 + 0.113330i 0.00194356 + 0.00436532i
\(675\) 20.8671 15.1609i 0.803176 0.583541i
\(676\) 22.5113 13.0014i 0.865821 0.500052i
\(677\) 44.9410 1.72722 0.863612 0.504158i \(-0.168197\pi\)
0.863612 + 0.504158i \(0.168197\pi\)
\(678\) 0.0909025 0.00955424i 0.00349109 0.000366928i
\(679\) −6.15917 6.84045i −0.236367 0.262512i
\(680\) 0.204664 0.227303i 0.00784851 0.00871666i
\(681\) 21.9175i 0.839881i
\(682\) −0.0266026 0.378600i −0.00101867 0.0144973i
\(683\) 7.63757 4.40955i 0.292243 0.168727i −0.346710 0.937972i \(-0.612701\pi\)
0.638953 + 0.769246i \(0.279368\pi\)
\(684\) 9.52403 3.09455i 0.364161 0.118323i
\(685\) −10.6489 + 2.26349i −0.406873 + 0.0864836i
\(686\) −0.0341217 0.324646i −0.00130277 0.0123950i
\(687\) −74.5752 43.0560i −2.84522 1.64269i
\(688\) −7.28791 −0.277849
\(689\) −8.38836 1.32795i −0.319571 0.0505909i
\(690\) −0.472251 0.343110i −0.0179783 0.0130620i
\(691\) −8.69485 19.5289i −0.330768 0.742916i 0.669232 0.743053i \(-0.266623\pi\)
−1.00000 0.000136983i \(0.999956\pi\)
\(692\) 15.2386 + 3.23906i 0.579284 + 0.123131i
\(693\) 38.4752 + 17.1302i 1.46155 + 0.650724i
\(694\) 0.259915 0.0844516i 0.00986625 0.00320574i
\(695\) 5.04761 + 23.7471i 0.191467 + 0.900780i
\(696\) 1.68824 + 0.177441i 0.0639926 + 0.00672590i
\(697\) −13.9597 4.53578i −0.528761 0.171805i
\(698\) −0.208303 + 0.0442762i −0.00788439 + 0.00167588i
\(699\) −53.8181 + 23.9614i −2.03559 + 0.906302i
\(700\) −6.23535 + 5.61434i −0.235674 + 0.212202i
\(701\) 0.303170 + 0.933061i 0.0114506 + 0.0352412i 0.956619 0.291343i \(-0.0941022\pi\)
−0.945168 + 0.326585i \(0.894102\pi\)
\(702\) −0.503478 0.407647i −0.0190026 0.0153856i
\(703\) 0.726629 + 2.23633i 0.0274053 + 0.0843449i
\(704\) −12.7581 28.6551i −0.480838 1.07998i
\(705\) −35.8741 + 15.9722i −1.35110 + 0.601547i
\(706\) −0.117944 0.0525122i −0.00443889 0.00197632i
\(707\) 7.78705i 0.292862i
\(708\) −48.0322 + 27.7314i −1.80516 + 1.04221i
\(709\) −12.1602 + 27.3123i −0.456687 + 1.02574i 0.527653 + 0.849460i \(0.323072\pi\)
−0.984341 + 0.176277i \(0.943595\pi\)
\(710\) 0.332568 + 0.108058i 0.0124811 + 0.00405534i
\(711\) −45.3044 + 50.3156i −1.69905 + 1.88698i
\(712\) 0.144637 0.250519i 0.00542050 0.00938858i
\(713\) −31.9887 + 21.5924i −1.19799 + 0.808641i
\(714\) −0.248903 −0.00931494
\(715\) 12.2021 + 18.7865i 0.456332 + 0.702576i
\(716\) −7.38847 + 22.7394i −0.276120 + 0.849810i
\(717\) 32.7857 3.44592i 1.22440 0.128690i
\(718\) −0.126116 + 0.218440i −0.00470662 + 0.00815211i
\(719\) 18.1972 + 31.5184i 0.678640 + 1.17544i 0.975391 + 0.220483i \(0.0707635\pi\)
−0.296751 + 0.954955i \(0.595903\pi\)
\(720\) −23.7292 32.6604i −0.884334 1.21718i
\(721\) −17.3041 1.81874i −0.644440 0.0677334i
\(722\) 0.317568 + 0.0333777i 0.0118186 + 0.00124219i
\(723\) 78.7687 25.5935i 2.92944 0.951832i
\(724\) −27.4392 12.2167i −1.01977 0.454031i
\(725\) 19.4613 + 4.13662i 0.722774 + 0.153630i
\(726\) 0.173969 0.156643i 0.00645661 0.00581355i
\(727\) −4.05264 2.94441i −0.150304 0.109202i 0.510092 0.860120i \(-0.329611\pi\)
−0.660396 + 0.750918i \(0.729611\pi\)
\(728\) 0.353516 + 0.229539i 0.0131022 + 0.00850729i
\(729\) −4.64525 + 14.2966i −0.172046 + 0.529504i
\(730\) 0.106412 + 0.239004i 0.00393847 + 0.00884594i
\(731\) −3.39180 3.76698i −0.125450 0.139327i
\(732\) −33.5797 + 37.2940i −1.24114 + 1.37843i
\(733\) 11.8943 + 16.3711i 0.439327 + 0.604681i 0.970062 0.242856i \(-0.0780842\pi\)
−0.530736 + 0.847537i \(0.678084\pi\)
\(734\) −0.155744 0.140232i −0.00574861 0.00517607i
\(735\) 20.0992 + 2.11252i 0.741372 + 0.0779213i
\(736\) 0.849079 1.16866i 0.0312975 0.0430773i
\(737\) −21.7722 9.69361i −0.801989 0.357069i
\(738\) 0.292365 0.506392i 0.0107621 0.0186405i
\(739\) 28.8462 + 16.6544i 1.06112 + 0.612640i 0.925743 0.378153i \(-0.123441\pi\)
0.135381 + 0.990794i \(0.456774\pi\)
\(740\) 7.67013 5.57267i 0.281960 0.204856i
\(741\) −3.93650 7.72441i −0.144611 0.283763i
\(742\) −0.0212746 0.0654765i −0.000781015 0.00240372i
\(743\) 22.8837 + 13.2119i 0.839522 + 0.484698i 0.857102 0.515147i \(-0.172263\pi\)
−0.0175795 + 0.999845i \(0.505596\pi\)
\(744\) 1.13855 0.326890i 0.0417413 0.0119844i
\(745\) −12.3989 21.4755i −0.454260 0.786801i
\(746\) 0.470022 0.152719i 0.0172087 0.00559146i
\(747\) 16.3479 + 76.9106i 0.598137 + 2.81401i
\(748\) 8.87632 19.9365i 0.324550 0.728952i
\(749\) 18.3653i 0.671055i
\(750\) 0.315524 + 0.546503i 0.0115213 + 0.0199555i
\(751\) −1.00727 9.58350i −0.0367557 0.349707i −0.997408 0.0719532i \(-0.977077\pi\)
0.960652 0.277754i \(-0.0895899\pi\)
\(752\) −13.1719 29.5845i −0.480329 1.07884i
\(753\) −12.0087 8.72484i −0.437622 0.317951i