Properties

Label 731.2.z.a.67.9
Level 731
Weight 2
Character 731.67
Analytic conductor 5.837
Analytic rank 0
Dimension 768
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.z (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(768\)
Relative dimension: \(64\) over \(\Q(\zeta_{42})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 67.9
Character \(\chi\) = 731.67
Dual form 731.2.z.a.611.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.29990 + 1.63003i) q^{2} +(-0.470647 - 3.12254i) q^{3} +(-0.522200 - 2.28791i) q^{4} +(-1.19265 - 1.74929i) q^{5} +(5.70163 + 3.29184i) q^{6} +(0.150209 - 0.0867232i) q^{7} +(0.651331 + 0.313664i) q^{8} +(-6.66204 + 2.05497i) q^{9} +O(q^{10})\) \(q+(-1.29990 + 1.63003i) q^{2} +(-0.470647 - 3.12254i) q^{3} +(-0.522200 - 2.28791i) q^{4} +(-1.19265 - 1.74929i) q^{5} +(5.70163 + 3.29184i) q^{6} +(0.150209 - 0.0867232i) q^{7} +(0.651331 + 0.313664i) q^{8} +(-6.66204 + 2.05497i) q^{9} +(4.40173 + 0.329864i) q^{10} +(-2.27020 - 0.518158i) q^{11} +(-6.89831 + 2.70739i) q^{12} +(-0.0203619 - 0.271710i) q^{13} +(-0.0538960 + 0.357577i) q^{14} +(-4.90093 + 4.54740i) q^{15} +(2.87074 - 1.38247i) q^{16} +(1.04913 - 3.98739i) q^{17} +(5.31036 - 13.5306i) q^{18} +(-4.33460 - 1.33705i) q^{19} +(-3.37942 + 3.64215i) q^{20} +(-0.341492 - 0.428218i) q^{21} +(3.79565 - 3.02693i) q^{22} +(-0.898769 + 0.968643i) q^{23} +(0.672883 - 2.18143i) q^{24} +(0.189085 - 0.481781i) q^{25} +(0.469364 + 0.320007i) q^{26} +(5.44182 + 11.3000i) q^{27} +(-0.276854 - 0.298377i) q^{28} +(-0.898998 + 5.96446i) q^{29} +(-1.04165 - 13.8998i) q^{30} +(5.99294 - 2.35206i) q^{31} +(-1.79994 + 7.88606i) q^{32} +(-0.549507 + 7.33266i) q^{33} +(5.13579 + 6.89335i) q^{34} +(-0.330851 - 0.159329i) q^{35} +(8.18048 + 14.1690i) q^{36} +(2.20430 + 1.27265i) q^{37} +(7.81400 - 5.32749i) q^{38} +(-0.838844 + 0.191461i) q^{39} +(-0.228117 - 1.51346i) q^{40} +(-5.66110 - 4.51457i) q^{41} +1.14191 q^{42} +(-0.844441 + 6.50284i) q^{43} +5.46459i q^{44} +(11.5402 + 9.20301i) q^{45} +(-0.410601 - 2.72416i) q^{46} +(1.10569 + 4.84433i) q^{47} +(-5.66794 - 8.31334i) q^{48} +(-3.48496 + 6.03612i) q^{49} +(0.539524 + 0.934483i) q^{50} +(-12.9446 - 1.39931i) q^{51} +(-0.611015 + 0.188473i) q^{52} +(-0.308270 + 4.11357i) q^{53} +(-25.4932 - 5.81867i) q^{54} +(1.80114 + 4.58923i) q^{55} +(0.125038 - 0.00937028i) q^{56} +(-2.13492 + 14.1643i) q^{57} +(-8.55363 - 9.21862i) q^{58} +(-0.413358 + 0.199063i) q^{59} +(12.9633 + 8.83822i) q^{60} +(5.98253 + 2.34797i) q^{61} +(-3.95633 + 12.8261i) q^{62} +(-0.822484 + 0.886427i) q^{63} +(-6.54153 - 8.20282i) q^{64} +(-0.451017 + 0.359674i) q^{65} +(-11.2381 - 10.4275i) q^{66} +(8.20173 + 2.52990i) q^{67} +(-9.67065 - 0.318103i) q^{68} +(3.44763 + 2.35055i) q^{69} +(0.689786 - 0.332183i) q^{70} +(-6.52157 - 7.02858i) q^{71} +(-4.98376 - 0.751181i) q^{72} +(-3.72772 + 0.279354i) q^{73} +(-4.93984 + 1.93874i) q^{74} +(-1.59337 - 0.363677i) q^{75} +(-0.795512 + 10.6154i) q^{76} +(-0.385941 + 0.119047i) q^{77} +(0.778330 - 1.61622i) q^{78} +(-0.471028 + 0.271948i) q^{79} +(-5.84214 - 3.37296i) q^{80} +(15.4426 - 10.5286i) q^{81} +(14.7178 - 3.35923i) q^{82} +(15.2785 - 2.30286i) q^{83} +(-0.801395 + 1.00492i) q^{84} +(-8.22638 + 2.92032i) q^{85} +(-9.50212 - 9.82953i) q^{86} +19.0474 q^{87} +(-1.31612 - 1.04957i) q^{88} +(-10.8397 + 1.63382i) q^{89} +(-30.0023 + 6.84784i) q^{90} +(-0.0266221 - 0.0390475i) q^{91} +(2.68550 + 1.55047i) q^{92} +(-10.1649 - 17.6062i) q^{93} +(-9.33368 - 4.49486i) q^{94} +(2.83077 + 9.17713i) q^{95} +(25.4717 + 1.90884i) q^{96} +(-9.48464 - 2.16481i) q^{97} +(-5.30894 - 13.5270i) q^{98} +(16.1889 - 1.21319i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 768q - 24q^{2} - 144q^{4} - 16q^{8} - 98q^{9} + O(q^{10}) \) \( 768q - 24q^{2} - 144q^{4} - 16q^{8} - 98q^{9} - 18q^{13} - 30q^{15} - 160q^{16} - 16q^{17} - 54q^{18} - 68q^{19} - 50q^{21} - 88q^{25} - 26q^{26} - 50q^{32} - 36q^{33} - 38q^{34} + 14q^{35} + 328q^{36} - 44q^{38} - 148q^{42} + 102q^{43} - 64q^{47} + 298q^{49} + 40q^{50} - 31q^{51} - 38q^{52} - 28q^{53} - 80q^{55} - 16q^{59} - 34q^{60} - 64q^{64} - 126q^{66} + 74q^{67} - 132q^{68} - 28q^{69} + 50q^{70} + 26q^{72} - 258q^{76} - 112q^{77} + 90q^{81} + 48q^{83} - 298q^{84} + 36q^{85} + 142q^{86} + 192q^{87} - 120q^{89} - 188q^{93} + 64q^{94} + 146q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(-1\) \(e\left(\frac{20}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.29990 + 1.63003i −0.919171 + 1.15260i 0.0687479 + 0.997634i \(0.478100\pi\)
−0.987919 + 0.154970i \(0.950472\pi\)
\(3\) −0.470647 3.12254i −0.271728 1.80280i −0.542391 0.840126i \(-0.682481\pi\)
0.270663 0.962674i \(-0.412757\pi\)
\(4\) −0.522200 2.28791i −0.261100 1.14395i
\(5\) −1.19265 1.74929i −0.533369 0.782308i 0.461099 0.887349i \(-0.347455\pi\)
−0.994468 + 0.105040i \(0.966503\pi\)
\(6\) 5.70163 + 3.29184i 2.32768 + 1.34389i
\(7\) 0.150209 0.0867232i 0.0567737 0.0327783i −0.471344 0.881949i \(-0.656231\pi\)
0.528118 + 0.849171i \(0.322898\pi\)
\(8\) 0.651331 + 0.313664i 0.230280 + 0.110897i
\(9\) −6.66204 + 2.05497i −2.22068 + 0.684989i
\(10\) 4.40173 + 0.329864i 1.39195 + 0.104312i
\(11\) −2.27020 0.518158i −0.684491 0.156231i −0.133886 0.990997i \(-0.542746\pi\)
−0.550605 + 0.834766i \(0.685603\pi\)
\(12\) −6.89831 + 2.70739i −1.99137 + 0.781555i
\(13\) −0.0203619 0.271710i −0.00564737 0.0753589i 0.993668 0.112356i \(-0.0358398\pi\)
−0.999315 + 0.0369973i \(0.988221\pi\)
\(14\) −0.0538960 + 0.357577i −0.0144043 + 0.0955664i
\(15\) −4.90093 + 4.54740i −1.26541 + 1.17413i
\(16\) 2.87074 1.38247i 0.717685 0.345619i
\(17\) 1.04913 3.98739i 0.254452 0.967085i
\(18\) 5.31036 13.5306i 1.25166 3.18919i
\(19\) −4.33460 1.33705i −0.994426 0.306740i −0.245502 0.969396i \(-0.578953\pi\)
−0.748924 + 0.662656i \(0.769429\pi\)
\(20\) −3.37942 + 3.64215i −0.755662 + 0.814410i
\(21\) −0.341492 0.428218i −0.0745197 0.0934448i
\(22\) 3.79565 3.02693i 0.809236 0.645344i
\(23\) −0.898769 + 0.968643i −0.187406 + 0.201976i −0.819765 0.572699i \(-0.805896\pi\)
0.632359 + 0.774675i \(0.282087\pi\)
\(24\) 0.672883 2.18143i 0.137352 0.445283i
\(25\) 0.189085 0.481781i 0.0378170 0.0963561i
\(26\) 0.469364 + 0.320007i 0.0920499 + 0.0627586i
\(27\) 5.44182 + 11.3000i 1.04728 + 2.17470i
\(28\) −0.276854 0.298377i −0.0523204 0.0563880i
\(29\) −0.898998 + 5.96446i −0.166940 + 1.10757i 0.735741 + 0.677263i \(0.236834\pi\)
−0.902681 + 0.430310i \(0.858404\pi\)
\(30\) −1.04165 13.8998i −0.190178 2.53775i
\(31\) 5.99294 2.35206i 1.07636 0.422442i 0.240088 0.970751i \(-0.422824\pi\)
0.836275 + 0.548310i \(0.184728\pi\)
\(32\) −1.79994 + 7.88606i −0.318188 + 1.39407i
\(33\) −0.549507 + 7.33266i −0.0956569 + 1.27645i
\(34\) 5.13579 + 6.89335i 0.880781 + 1.18220i
\(35\) −0.330851 0.159329i −0.0559240 0.0269316i
\(36\) 8.18048 + 14.1690i 1.36341 + 2.36150i
\(37\) 2.20430 + 1.27265i 0.362385 + 0.209223i 0.670126 0.742247i \(-0.266240\pi\)
−0.307742 + 0.951470i \(0.599573\pi\)
\(38\) 7.81400 5.32749i 1.26760 0.864234i
\(39\) −0.838844 + 0.191461i −0.134323 + 0.0306582i
\(40\) −0.228117 1.51346i −0.0360685 0.239299i
\(41\) −5.66110 4.51457i −0.884115 0.705058i 0.0722022 0.997390i \(-0.476997\pi\)
−0.956317 + 0.292332i \(0.905569\pi\)
\(42\) 1.14191 0.176201
\(43\) −0.844441 + 6.50284i −0.128776 + 0.991674i
\(44\) 5.46459i 0.823817i
\(45\) 11.5402 + 9.20301i 1.72031 + 1.37190i
\(46\) −0.410601 2.72416i −0.0605399 0.401656i
\(47\) 1.10569 + 4.84433i 0.161281 + 0.706618i 0.989297 + 0.145914i \(0.0466123\pi\)
−0.828016 + 0.560704i \(0.810531\pi\)
\(48\) −5.66794 8.31334i −0.818097 1.19993i
\(49\) −3.48496 + 6.03612i −0.497851 + 0.862304i
\(50\) 0.539524 + 0.934483i 0.0763002 + 0.132156i
\(51\) −12.9446 1.39931i −1.81260 0.195942i
\(52\) −0.611015 + 0.188473i −0.0847326 + 0.0261365i
\(53\) −0.308270 + 4.11357i −0.0423441 + 0.565043i 0.935174 + 0.354190i \(0.115243\pi\)
−0.977518 + 0.210853i \(0.932376\pi\)
\(54\) −25.4932 5.81867i −3.46919 0.791820i
\(55\) 1.80114 + 4.58923i 0.242866 + 0.618811i
\(56\) 0.125038 0.00937028i 0.0167089 0.00125216i
\(57\) −2.13492 + 14.1643i −0.282777 + 1.87610i
\(58\) −8.55363 9.21862i −1.12315 1.21046i
\(59\) −0.413358 + 0.199063i −0.0538147 + 0.0259158i −0.460598 0.887609i \(-0.652365\pi\)
0.406783 + 0.913525i \(0.366651\pi\)
\(60\) 12.9633 + 8.83822i 1.67355 + 1.14101i
\(61\) 5.98253 + 2.34797i 0.765984 + 0.300627i 0.715979 0.698122i \(-0.245981\pi\)
0.0500057 + 0.998749i \(0.484076\pi\)
\(62\) −3.95633 + 12.8261i −0.502454 + 1.62892i
\(63\) −0.822484 + 0.886427i −0.103623 + 0.111679i
\(64\) −6.54153 8.20282i −0.817692 1.02535i
\(65\) −0.451017 + 0.359674i −0.0559418 + 0.0446121i
\(66\) −11.2381 10.4275i −1.38332 1.28353i
\(67\) 8.20173 + 2.52990i 1.00200 + 0.309076i 0.751996 0.659168i \(-0.229091\pi\)
0.250005 + 0.968244i \(0.419568\pi\)
\(68\) −9.67065 0.318103i −1.17274 0.0385757i
\(69\) 3.44763 + 2.35055i 0.415046 + 0.282973i
\(70\) 0.689786 0.332183i 0.0824452 0.0397035i
\(71\) −6.52157 7.02858i −0.773968 0.834139i 0.215858 0.976425i \(-0.430745\pi\)
−0.989826 + 0.142286i \(0.954555\pi\)
\(72\) −4.98376 0.751181i −0.587341 0.0885275i
\(73\) −3.72772 + 0.279354i −0.436296 + 0.0326959i −0.291068 0.956702i \(-0.594011\pi\)
−0.145228 + 0.989398i \(0.546392\pi\)
\(74\) −4.93984 + 1.93874i −0.574245 + 0.225374i
\(75\) −1.59337 0.363677i −0.183987 0.0419938i
\(76\) −0.795512 + 10.6154i −0.0912515 + 1.21767i
\(77\) −0.385941 + 0.119047i −0.0439820 + 0.0135667i
\(78\) 0.778330 1.61622i 0.0881286 0.183001i
\(79\) −0.471028 + 0.271948i −0.0529948 + 0.0305966i −0.526263 0.850322i \(-0.676407\pi\)
0.473269 + 0.880918i \(0.343074\pi\)
\(80\) −5.84214 3.37296i −0.653171 0.377108i
\(81\) 15.4426 10.5286i 1.71585 1.16985i
\(82\) 14.7178 3.35923i 1.62531 0.370965i
\(83\) 15.2785 2.30286i 1.67703 0.252771i 0.759519 0.650485i \(-0.225434\pi\)
0.917509 + 0.397714i \(0.130196\pi\)
\(84\) −0.801395 + 1.00492i −0.0874394 + 0.109645i
\(85\) −8.22638 + 2.92032i −0.892276 + 0.316753i
\(86\) −9.50212 9.82953i −1.02464 1.05995i
\(87\) 19.0474 2.04209
\(88\) −1.31612 1.04957i −0.140299 0.111885i
\(89\) −10.8397 + 1.63382i −1.14901 + 0.173185i −0.695810 0.718226i \(-0.744954\pi\)
−0.453196 + 0.891411i \(0.649716\pi\)
\(90\) −30.0023 + 6.84784i −3.16252 + 0.721826i
\(91\) −0.0266221 0.0390475i −0.00279076 0.00409329i
\(92\) 2.68550 + 1.55047i 0.279983 + 0.161648i
\(93\) −10.1649 17.6062i −1.05406 1.82568i
\(94\) −9.33368 4.49486i −0.962696 0.463610i
\(95\) 2.83077 + 9.17713i 0.290431 + 0.941553i
\(96\) 25.4717 + 1.90884i 2.59969 + 0.194820i
\(97\) −9.48464 2.16481i −0.963019 0.219803i −0.288022 0.957624i \(-0.592998\pi\)
−0.674997 + 0.737821i \(0.735855\pi\)
\(98\) −5.30894 13.5270i −0.536284 1.36643i
\(99\) 16.1889 1.21319i 1.62705 0.121931i
\(100\) −1.20101 0.181023i −0.120101 0.0181023i
\(101\) −1.79102 + 1.66182i −0.178213 + 0.165358i −0.764236 0.644937i \(-0.776883\pi\)
0.586022 + 0.810295i \(0.300693\pi\)
\(102\) 19.1076 19.2811i 1.89194 1.90911i
\(103\) 3.21367 + 2.19104i 0.316652 + 0.215890i 0.711207 0.702983i \(-0.248149\pi\)
−0.394555 + 0.918872i \(0.629101\pi\)
\(104\) 0.0719635 0.183360i 0.00705661 0.0179799i
\(105\) −0.341799 + 1.10808i −0.0333561 + 0.108138i
\(106\) −6.30452 5.84974i −0.612349 0.568177i
\(107\) −11.3716 + 9.06852i −1.09933 + 0.876687i −0.993055 0.117650i \(-0.962464\pi\)
−0.106276 + 0.994337i \(0.533893\pi\)
\(108\) 23.0117 18.3513i 2.21431 1.76585i
\(109\) 12.0106 12.9444i 1.15041 1.23985i 0.183975 0.982931i \(-0.441104\pi\)
0.966434 0.256915i \(-0.0827059\pi\)
\(110\) −9.82188 3.02965i −0.936479 0.288866i
\(111\) 2.93646 7.48199i 0.278717 0.710159i
\(112\) 0.311318 0.456620i 0.0294168 0.0431465i
\(113\) −8.64922 17.9603i −0.813650 1.68956i −0.720018 0.693955i \(-0.755867\pi\)
−0.0936319 0.995607i \(-0.529848\pi\)
\(114\) −20.3130 21.8922i −1.90248 2.05039i
\(115\) 2.76636 + 0.416961i 0.257964 + 0.0388818i
\(116\) 14.1156 1.05782i 1.31060 0.0982158i
\(117\) 0.694007 + 1.76830i 0.0641610 + 0.163480i
\(118\) 0.212848 0.932548i 0.0195943 0.0858480i
\(119\) −0.188210 0.689927i −0.0172532 0.0632455i
\(120\) −4.61848 + 1.42461i −0.421608 + 0.130049i
\(121\) −5.02534 2.42008i −0.456849 0.220007i
\(122\) −11.6040 + 6.69956i −1.05057 + 0.606549i
\(123\) −11.4326 + 19.8018i −1.03084 + 1.78547i
\(124\) −8.51079 12.4830i −0.764292 1.12101i
\(125\) −11.3888 + 2.59941i −1.01864 + 0.232498i
\(126\) −0.375751 2.49294i −0.0334745 0.222089i
\(127\) −4.77008 + 5.98149i −0.423276 + 0.530771i −0.947050 0.321086i \(-0.895952\pi\)
0.523774 + 0.851857i \(0.324524\pi\)
\(128\) 5.69646 0.503501
\(129\) 20.7028 0.423742i 1.82278 0.0373084i
\(130\) 1.20271i 0.105485i
\(131\) −3.34456 2.66719i −0.292215 0.233034i 0.466398 0.884575i \(-0.345551\pi\)
−0.758613 + 0.651541i \(0.774123\pi\)
\(132\) 17.0634 2.57189i 1.48518 0.223855i
\(133\) −0.767049 + 0.175074i −0.0665116 + 0.0151808i
\(134\) −14.7853 + 10.0804i −1.27725 + 0.870816i
\(135\) 13.2769 22.9963i 1.14270 1.97921i
\(136\) 1.93404 2.26804i 0.165842 0.194483i
\(137\) −8.76625 4.22161i −0.748952 0.360676i 0.0201548 0.999797i \(-0.493584\pi\)
−0.769106 + 0.639121i \(0.779298\pi\)
\(138\) −8.31306 + 2.56424i −0.707655 + 0.218283i
\(139\) 9.76902 + 0.732087i 0.828598 + 0.0620948i 0.482274 0.876020i \(-0.339811\pi\)
0.346324 + 0.938115i \(0.387430\pi\)
\(140\) −0.191761 + 0.840158i −0.0162067 + 0.0710063i
\(141\) 14.6062 5.73252i 1.23007 0.482766i
\(142\) 19.9342 1.49386i 1.67284 0.125362i
\(143\) −0.0945634 + 0.627387i −0.00790779 + 0.0524648i
\(144\) −16.2840 + 15.1094i −1.35700 + 1.25911i
\(145\) 11.5058 5.54090i 0.955504 0.460146i
\(146\) 4.39032 6.43942i 0.363346 0.532930i
\(147\) 20.4882 + 8.04104i 1.68984 + 0.663214i
\(148\) 1.76063 5.70781i 0.144723 0.469179i
\(149\) −4.13951 3.84090i −0.339122 0.314659i 0.492166 0.870501i \(-0.336205\pi\)
−0.831288 + 0.555842i \(0.812396\pi\)
\(150\) 2.66404 2.12450i 0.217518 0.173464i
\(151\) 6.05440 + 7.59198i 0.492700 + 0.617827i 0.964565 0.263844i \(-0.0849904\pi\)
−0.471865 + 0.881671i \(0.656419\pi\)
\(152\) −2.40388 2.23047i −0.194980 0.180915i
\(153\) 1.20459 + 28.7201i 0.0973857 + 2.32188i
\(154\) 0.307636 0.783844i 0.0247900 0.0631639i
\(155\) −11.2619 7.67824i −0.904578 0.616731i
\(156\) 0.876088 + 1.81922i 0.0701432 + 0.145654i
\(157\) −13.9038 + 12.9008i −1.10964 + 1.02960i −0.110278 + 0.993901i \(0.535174\pi\)
−0.999363 + 0.0356950i \(0.988636\pi\)
\(158\) 0.169008 1.12130i 0.0134456 0.0892055i
\(159\) 12.9899 0.973458i 1.03017 0.0772002i
\(160\) 15.9417 6.25668i 1.26031 0.494634i
\(161\) −0.0509994 + 0.223443i −0.00401931 + 0.0176098i
\(162\) −2.91202 + 38.8582i −0.228790 + 3.05298i
\(163\) 0.872280 + 2.82786i 0.0683222 + 0.221495i 0.983295 0.182021i \(-0.0582640\pi\)
−0.914972 + 0.403517i \(0.867788\pi\)
\(164\) −7.37270 + 15.3096i −0.575711 + 1.19548i
\(165\) 13.4823 7.78404i 1.04960 0.605987i
\(166\) −16.1068 + 27.8978i −1.25013 + 2.16529i
\(167\) 11.5826 + 16.9886i 0.896292 + 1.31462i 0.948760 + 0.315997i \(0.102339\pi\)
−0.0524679 + 0.998623i \(0.516709\pi\)
\(168\) −0.0881077 0.386025i −0.00679766 0.0297825i
\(169\) 12.7814 1.92648i 0.983184 0.148191i
\(170\) 5.93330 17.2054i 0.455063 1.31959i
\(171\) 31.6249 2.41841
\(172\) 15.3189 1.46378i 1.16805 0.111612i
\(173\) 3.00284i 0.228302i 0.993463 + 0.114151i \(0.0364147\pi\)
−0.993463 + 0.114151i \(0.963585\pi\)
\(174\) −24.7598 + 31.0478i −1.87703 + 2.35373i
\(175\) −0.0133793 0.0887658i −0.00101138 0.00671007i
\(176\) −7.23349 + 1.65100i −0.545245 + 0.124449i
\(177\) 0.816128 + 1.19704i 0.0613439 + 0.0899750i
\(178\) 11.4274 19.7928i 0.856520 1.48354i
\(179\) −8.24360 14.2783i −0.616155 1.06721i −0.990181 0.139794i \(-0.955356\pi\)
0.374025 0.927419i \(-0.377977\pi\)
\(180\) 15.0293 31.2087i 1.12022 2.32616i
\(181\) 0.215461 + 0.698508i 0.0160151 + 0.0519197i 0.963228 0.268687i \(-0.0865896\pi\)
−0.947213 + 0.320606i \(0.896113\pi\)
\(182\) 0.0982548 + 0.00736318i 0.00728313 + 0.000545795i
\(183\) 4.51597 19.7858i 0.333830 1.46261i
\(184\) −0.889224 + 0.348995i −0.0655545 + 0.0257282i
\(185\) −0.402710 5.37380i −0.0296079 0.395089i
\(186\) 41.9121 + 6.31723i 3.07314 + 0.463202i
\(187\) −4.44784 + 8.50856i −0.325258 + 0.622208i
\(188\) 10.5060 5.05942i 0.766228 0.368996i
\(189\) 1.79739 + 1.22544i 0.130741 + 0.0891374i
\(190\) −18.6387 7.31515i −1.35219 0.530697i
\(191\) −13.2032 4.07264i −0.955347 0.294686i −0.222388 0.974958i \(-0.571385\pi\)
−0.732959 + 0.680273i \(0.761861\pi\)
\(192\) −22.5349 + 24.2868i −1.62632 + 1.75275i
\(193\) −1.93425 + 1.54251i −0.139230 + 0.111032i −0.690628 0.723210i \(-0.742666\pi\)
0.551398 + 0.834242i \(0.314095\pi\)
\(194\) 15.8578 12.6462i 1.13852 0.907943i
\(195\) 1.33537 + 1.23904i 0.0956276 + 0.0887295i
\(196\) 15.6299 + 4.82120i 1.11642 + 0.344371i
\(197\) −16.0332 6.29255i −1.14232 0.448326i −0.282670 0.959217i \(-0.591220\pi\)
−0.859645 + 0.510891i \(0.829315\pi\)
\(198\) −19.0665 + 27.9655i −1.35500 + 1.98742i
\(199\) −3.66246 7.60517i −0.259625 0.539117i 0.729887 0.683568i \(-0.239573\pi\)
−0.989512 + 0.144451i \(0.953858\pi\)
\(200\) 0.274274 0.254489i 0.0193941 0.0179951i
\(201\) 4.03959 26.8009i 0.284931 1.89039i
\(202\) −0.380665 5.07962i −0.0267835 0.357401i
\(203\) 0.382220 + 0.973880i 0.0268266 + 0.0683529i
\(204\) 3.55817 + 30.3467i 0.249122 + 2.12469i
\(205\) −1.14562 + 15.2872i −0.0800135 + 1.06771i
\(206\) −7.74892 + 2.39023i −0.539893 + 0.166535i
\(207\) 3.99710 8.30007i 0.277818 0.576895i
\(208\) −0.434086 0.751860i −0.0300985 0.0521321i
\(209\) 9.14761 + 5.28138i 0.632753 + 0.365320i
\(210\) −1.36190 1.99754i −0.0939802 0.137844i
\(211\) −21.0160 + 4.79676i −1.44680 + 0.330222i −0.872576 0.488477i \(-0.837552\pi\)
−0.574222 + 0.818700i \(0.694695\pi\)
\(212\) 9.57245 1.44282i 0.657439 0.0990930i
\(213\) −18.8777 + 23.6718i −1.29348 + 1.62197i
\(214\) 30.3242i 2.07292i
\(215\) 12.3825 6.27843i 0.844480 0.428185i
\(216\) 9.06697i 0.616929i
\(217\) 0.696215 0.873027i 0.0472622 0.0592649i
\(218\) 5.48703 + 36.4041i 0.371629 + 2.46560i
\(219\) 2.62673 + 11.5085i 0.177498 + 0.777671i
\(220\) 9.55917 6.51733i 0.644479 0.439398i
\(221\) −1.10478 0.203870i −0.0743155 0.0137138i
\(222\) 8.37873 + 14.5124i 0.562344 + 0.974008i
\(223\) −13.4980 6.50031i −0.903895 0.435293i −0.0766007 0.997062i \(-0.524407\pi\)
−0.827294 + 0.561769i \(0.810121\pi\)
\(224\) 0.413537 + 1.34065i 0.0276306 + 0.0895762i
\(225\) −0.269648 + 3.59820i −0.0179765 + 0.239880i
\(226\) 40.5189 + 9.24818i 2.69528 + 0.615180i
\(227\) 8.59698 3.37407i 0.570602 0.223945i −0.0624581 0.998048i \(-0.519894\pi\)
0.633060 + 0.774103i \(0.281799\pi\)
\(228\) 33.5214 2.51208i 2.22001 0.166366i
\(229\) −12.2577 1.84754i −0.810008 0.122089i −0.269037 0.963130i \(-0.586705\pi\)
−0.540972 + 0.841041i \(0.681943\pi\)
\(230\) −4.27566 + 3.96723i −0.281929 + 0.261591i
\(231\) 0.553371 + 1.14909i 0.0364091 + 0.0756043i
\(232\) −2.45638 + 3.60285i −0.161269 + 0.236539i
\(233\) −6.69829 2.62888i −0.438819 0.172224i 0.135638 0.990758i \(-0.456692\pi\)
−0.574457 + 0.818535i \(0.694787\pi\)
\(234\) −3.78453 1.16737i −0.247402 0.0763135i
\(235\) 7.15546 7.71176i 0.466771 0.503059i
\(236\) 0.671293 + 0.841775i 0.0436974 + 0.0547949i
\(237\) 1.07086 + 1.34281i 0.0695597 + 0.0872251i
\(238\) 1.36926 + 0.590051i 0.0887557 + 0.0382473i
\(239\) −1.65587 0.510767i −0.107109 0.0330388i 0.240737 0.970590i \(-0.422611\pi\)
−0.347846 + 0.937552i \(0.613087\pi\)
\(240\) −7.78262 + 19.8298i −0.502366 + 1.28001i
\(241\) −2.17897 + 3.19596i −0.140360 + 0.205870i −0.889982 0.455996i \(-0.849283\pi\)
0.749622 + 0.661866i \(0.230235\pi\)
\(242\) 10.4773 5.04558i 0.673504 0.324342i
\(243\) −14.5517 15.6830i −0.933491 1.00606i
\(244\) 2.24786 14.9136i 0.143904 0.954744i
\(245\) 14.7153 1.10276i 0.940125 0.0704527i
\(246\) −17.4162 44.3758i −1.11042 2.82930i
\(247\) −0.275029 + 1.20498i −0.0174997 + 0.0766712i
\(248\) 4.64114 + 0.347805i 0.294713 + 0.0220857i
\(249\) −14.3815 46.6238i −0.911392 2.95466i
\(250\) 10.5672 21.9430i 0.668328 1.38780i
\(251\) 8.75269 + 15.1601i 0.552465 + 0.956897i 0.998096 + 0.0616803i \(0.0196459\pi\)
−0.445631 + 0.895217i \(0.647021\pi\)
\(252\) 2.45756 + 1.41888i 0.154812 + 0.0893808i
\(253\) 2.54229 1.73331i 0.159833 0.108972i
\(254\) −3.54935 15.5507i −0.222706 0.975739i
\(255\) 12.9905 + 24.3128i 0.813499 + 1.52252i
\(256\) 5.67821 7.12025i 0.354888 0.445016i
\(257\) 18.9993 1.18514 0.592572 0.805518i \(-0.298113\pi\)
0.592572 + 0.805518i \(0.298113\pi\)
\(258\) −26.2210 + 34.2970i −1.63245 + 2.13524i
\(259\) 0.441474 0.0274319
\(260\) 1.05842 + 0.844063i 0.0656405 + 0.0523466i
\(261\) −6.26761 41.5829i −0.387955 2.57391i
\(262\) 8.69521 1.98462i 0.537192 0.122610i
\(263\) 15.8985 10.8394i 0.980341 0.668385i 0.0366900 0.999327i \(-0.488319\pi\)
0.943651 + 0.330941i \(0.107366\pi\)
\(264\) −2.65790 + 4.60362i −0.163583 + 0.283333i
\(265\) 7.56351 4.36680i 0.464623 0.268250i
\(266\) 0.711715 1.47789i 0.0436381 0.0906154i
\(267\) 10.2034 + 33.0785i 0.624435 + 2.02437i
\(268\) 1.50523 20.0859i 0.0919466 1.22694i
\(269\) 6.80453 + 1.55309i 0.414879 + 0.0946935i 0.424865 0.905257i \(-0.360321\pi\)
−0.00998578 + 0.999950i \(0.503179\pi\)
\(270\) 20.2259 + 51.5348i 1.23091 + 3.13631i
\(271\) −1.84165 24.5751i −0.111872 1.49283i −0.717206 0.696862i \(-0.754579\pi\)
0.605333 0.795972i \(-0.293040\pi\)
\(272\) −2.50068 12.8972i −0.151626 0.782006i
\(273\) −0.109398 + 0.101506i −0.00662106 + 0.00614344i
\(274\) 18.2766 8.80156i 1.10413 0.531722i
\(275\) −0.678899 + 0.995762i −0.0409392 + 0.0600467i
\(276\) 3.57750 9.11531i 0.215340 0.548677i
\(277\) 4.17978 13.5505i 0.251138 0.814171i −0.738954 0.673756i \(-0.764680\pi\)
0.990093 0.140415i \(-0.0448437\pi\)
\(278\) −13.8921 + 14.9721i −0.833194 + 0.897970i
\(279\) −35.0918 + 27.9848i −2.10089 + 1.67540i
\(280\) −0.165517 0.207552i −0.00989156 0.0124036i
\(281\) −13.7326 12.7420i −0.819219 0.760124i 0.154472 0.987997i \(-0.450632\pi\)
−0.973691 + 0.227873i \(0.926823\pi\)
\(282\) −9.64253 + 31.2603i −0.574204 + 1.86152i
\(283\) −17.2042 6.75216i −1.02268 0.401374i −0.206058 0.978540i \(-0.566063\pi\)
−0.816627 + 0.577166i \(0.804159\pi\)
\(284\) −12.6752 + 18.5911i −0.752133 + 1.10318i
\(285\) 27.3237 13.1584i 1.61851 0.779435i
\(286\) −0.899736 0.969685i −0.0532025 0.0573387i
\(287\) −1.24187 0.187181i −0.0733050 0.0110490i
\(288\) −4.21431 56.2361i −0.248331 3.31374i
\(289\) −14.7986 8.36662i −0.870508 0.492154i
\(290\) −5.92461 + 25.9574i −0.347905 + 1.52427i
\(291\) −2.29578 + 30.6350i −0.134581 + 1.79586i
\(292\) 2.58575 + 8.38279i 0.151320 + 0.490566i
\(293\) 18.0119 + 8.67409i 1.05227 + 0.506746i 0.878352 0.478015i \(-0.158644\pi\)
0.173916 + 0.984760i \(0.444358\pi\)
\(294\) −39.7399 + 22.9438i −2.31768 + 1.33811i
\(295\) 0.841211 + 0.485673i 0.0489772 + 0.0282770i
\(296\) 1.03654 + 1.52033i 0.0602478 + 0.0883673i
\(297\) −6.49879 28.4731i −0.377098 1.65218i
\(298\) 11.6417 1.75471i 0.674388 0.101648i
\(299\) 0.281491 + 0.224482i 0.0162790 + 0.0129821i
\(300\) 3.83540i 0.221437i
\(301\) 0.437104 + 1.05002i 0.0251943 + 0.0605220i
\(302\) −20.2453 −1.16499
\(303\) 6.03205 + 4.81040i 0.346532 + 0.276350i
\(304\) −14.2919 + 2.15416i −0.819699 + 0.123550i
\(305\) −3.02777 13.2655i −0.173369 0.759581i
\(306\) −48.3804 35.3699i −2.76573 2.02196i
\(307\) −1.30165 + 2.25453i −0.0742893 + 0.128673i −0.900777 0.434282i \(-0.857002\pi\)
0.826488 + 0.562955i \(0.190335\pi\)
\(308\) 0.473906 + 0.820830i 0.0270033 + 0.0467711i
\(309\) 5.32912 11.0660i 0.303163 0.629524i
\(310\) 27.1552 8.37626i 1.54231 0.475739i
\(311\) −12.8576 0.963543i −0.729087 0.0546375i −0.294986 0.955502i \(-0.595315\pi\)
−0.434101 + 0.900864i \(0.642934\pi\)
\(312\) −0.606419 0.138411i −0.0343317 0.00783599i
\(313\) 19.6662 7.71841i 1.11160 0.436270i 0.262727 0.964870i \(-0.415378\pi\)
0.848871 + 0.528600i \(0.177283\pi\)
\(314\) −2.95512 39.4333i −0.166767 2.22535i
\(315\) 2.53156 + 0.381571i 0.142637 + 0.0214991i
\(316\) 0.868163 + 0.935657i 0.0488380 + 0.0526348i
\(317\) −4.67080 9.69902i −0.262338 0.544751i 0.727642 0.685957i \(-0.240616\pi\)
−0.989980 + 0.141206i \(0.954902\pi\)
\(318\) −15.2989 + 22.4393i −0.857917 + 1.25833i
\(319\) 5.13144 13.0747i 0.287305 0.732042i
\(320\) −6.54740 + 21.2262i −0.366011 + 1.18658i
\(321\) 33.6688 + 31.2401i 1.87921 + 1.74365i
\(322\) −0.297924 0.373585i −0.0166027 0.0208191i
\(323\) −9.87892 + 15.8810i −0.549678 + 0.883644i
\(324\) −32.1526 29.8333i −1.78626 1.65741i
\(325\) −0.134755 0.0415664i −0.00747486 0.00230569i
\(326\) −5.74338 2.25411i −0.318096 0.124844i
\(327\) −46.0721 31.4114i −2.54779 1.73706i
\(328\) −2.27118 4.71616i −0.125405 0.260407i
\(329\) 0.586200 + 0.631773i 0.0323182 + 0.0348308i
\(330\) −4.83756 + 32.0951i −0.266299 + 1.76678i
\(331\) 0.208960 + 2.78838i 0.0114855 + 0.153263i 0.999998 + 0.00212252i \(0.000675618\pi\)
−0.988512 + 0.151141i \(0.951705\pi\)
\(332\) −13.2471 33.7531i −0.727031 1.85244i
\(333\) −17.3004 3.94870i −0.948055 0.216387i
\(334\) −42.7483 3.20354i −2.33908 0.175290i
\(335\) −5.35625 17.3645i −0.292643 0.948725i
\(336\) −1.57233 0.757197i −0.0857779 0.0413085i
\(337\) −8.67674 + 5.00952i −0.472652 + 0.272886i −0.717349 0.696714i \(-0.754645\pi\)
0.244697 + 0.969600i \(0.421312\pi\)
\(338\) −13.4744 + 23.3383i −0.732909 + 1.26943i
\(339\) −52.0110 + 35.4605i −2.82485 + 1.92595i
\(340\) 10.9772 + 17.2962i 0.595324 + 0.938018i
\(341\) −14.8239 + 2.23434i −0.802759 + 0.120996i
\(342\) −41.1093 + 51.5495i −2.22294 + 2.78748i
\(343\) 2.42303i 0.130831i
\(344\) −2.58972 + 3.97063i −0.139628 + 0.214082i
\(345\) 8.83430i 0.475623i
\(346\) −4.89472 3.90341i −0.263142 0.209848i
\(347\) 5.19419 + 34.4612i 0.278839 + 1.84998i 0.488968 + 0.872302i \(0.337373\pi\)
−0.210129 + 0.977674i \(0.567388\pi\)
\(348\) −9.94654 43.5786i −0.533191 2.33606i
\(349\) 3.33572 2.27426i 0.178557 0.121738i −0.470743 0.882270i \(-0.656014\pi\)
0.649300 + 0.760532i \(0.275062\pi\)
\(350\) 0.162083 + 0.0935785i 0.00866368 + 0.00500198i
\(351\) 2.95954 1.70869i 0.157968 0.0912031i
\(352\) 8.17246 16.9703i 0.435593 0.904519i
\(353\) −12.5121 + 3.85946i −0.665951 + 0.205419i −0.609257 0.792973i \(-0.708532\pi\)
−0.0566939 + 0.998392i \(0.518056\pi\)
\(354\) −3.01210 0.225725i −0.160091 0.0119972i
\(355\) −4.51711 + 19.7908i −0.239744 + 1.05038i
\(356\) 9.39852 + 23.9470i 0.498121 + 1.26919i
\(357\) −2.06574 + 0.912407i −0.109331 + 0.0482897i
\(358\) 33.9900 + 5.12316i 1.79643 + 0.270768i
\(359\) 27.0932 25.1388i 1.42992 1.32677i 0.564786 0.825237i \(-0.308959\pi\)
0.865136 0.501537i \(-0.167232\pi\)
\(360\) 4.62984 + 9.61395i 0.244014 + 0.506700i
\(361\) 1.30256 + 0.888067i 0.0685556 + 0.0467404i
\(362\) −1.41867 0.556785i −0.0745634 0.0292640i
\(363\) −5.19163 + 16.8308i −0.272490 + 0.883390i
\(364\) −0.0754350 + 0.0812996i −0.00395387 + 0.00426125i
\(365\) 4.93453 + 6.18771i 0.258285 + 0.323879i
\(366\) 26.3810 + 33.0808i 1.37896 + 1.72916i
\(367\) −17.5287 + 18.8914i −0.914989 + 0.986124i −0.999947 0.0102608i \(-0.996734\pi\)
0.0849582 + 0.996385i \(0.472924\pi\)
\(368\) −1.24101 + 4.02324i −0.0646919 + 0.209726i
\(369\) 46.9917 + 18.4429i 2.44629 + 0.960099i
\(370\) 9.28293 + 6.32899i 0.482597 + 0.329029i
\(371\) 0.310437 + 0.644630i 0.0161171 + 0.0334675i
\(372\) −34.9732 + 32.4504i −1.81328 + 1.68248i
\(373\) −33.9641 5.11926i −1.75859 0.265065i −0.811115 0.584887i \(-0.801139\pi\)
−0.947478 + 0.319822i \(0.896377\pi\)
\(374\) −8.08743 18.3104i −0.418191 0.946810i
\(375\) 13.4769 + 34.3385i 0.695942 + 1.77323i
\(376\) −0.799326 + 3.50207i −0.0412221 + 0.180606i
\(377\) 1.63891 + 0.122819i 0.0844082 + 0.00632552i
\(378\) −4.33393 + 1.33684i −0.222913 + 0.0687596i
\(379\) −1.80831 + 3.75499i −0.0928865 + 0.192881i −0.942236 0.334951i \(-0.891280\pi\)
0.849349 + 0.527831i \(0.176995\pi\)
\(380\) 19.5182 11.2688i 1.00126 0.578079i
\(381\) 20.9225 + 12.0796i 1.07189 + 0.618856i
\(382\) 23.8014 16.2275i 1.21778 0.830271i
\(383\) 7.95883 + 34.8699i 0.406677 + 1.78177i 0.599330 + 0.800502i \(0.295434\pi\)
−0.192653 + 0.981267i \(0.561709\pi\)
\(384\) −2.68102 17.7874i −0.136815 0.907711i
\(385\) 0.668540 + 0.533143i 0.0340719 + 0.0271715i
\(386\) 5.15800i 0.262535i
\(387\) −7.73742 45.0574i −0.393315 2.29040i
\(388\) 22.8304i 1.15904i
\(389\) −22.0473 + 27.6464i −1.11784 + 1.40173i −0.212438 + 0.977175i \(0.568140\pi\)
−0.905403 + 0.424553i \(0.860431\pi\)
\(390\) −3.75552 + 0.566053i −0.190168 + 0.0286632i
\(391\) 2.91943 + 4.59998i 0.147642 + 0.232631i
\(392\) −4.16318 + 2.83841i −0.210272 + 0.143361i
\(393\) −6.75432 + 11.6988i −0.340710 + 0.590128i
\(394\) 31.0986 17.9548i 1.56673 0.904549i
\(395\) 1.03749 + 0.499628i 0.0522017 + 0.0251390i
\(396\) −11.2295 36.4053i −0.564305 1.82943i
\(397\) −24.0083 1.79917i −1.20494 0.0902979i −0.542921 0.839784i \(-0.682682\pi\)
−0.662021 + 0.749486i \(0.730301\pi\)
\(398\) 17.1575 + 3.91609i 0.860028 + 0.196296i
\(399\) 0.907686 + 2.31275i 0.0454411 + 0.115782i
\(400\) −0.123236 1.64447i −0.00616180 0.0822236i
\(401\) 5.22222 34.6471i 0.260785 1.73020i −0.348556 0.937288i \(-0.613328\pi\)
0.609341 0.792908i \(-0.291434\pi\)
\(402\) 38.4352 + 41.4233i 1.91697 + 2.06601i
\(403\) −0.761105 1.58045i −0.0379134 0.0787279i
\(404\) 4.73737 + 3.22988i 0.235693 + 0.160693i
\(405\) −36.8353 14.4568i −1.83036 0.718364i
\(406\) −2.08430 0.642922i −0.103442 0.0319077i
\(407\) −4.34476 4.03135i −0.215362 0.199827i
\(408\) −7.99229 4.97166i −0.395677 0.246134i
\(409\) −18.6834 23.4283i −0.923836 1.15845i −0.987043 0.160453i \(-0.948704\pi\)
0.0632076 0.998000i \(-0.479867\pi\)
\(410\) −23.4294 21.7393i −1.15710 1.07363i
\(411\) −9.05632 + 29.3599i −0.446715 + 1.44822i
\(412\) 3.33472 8.49674i 0.164290 0.418604i
\(413\) −0.0448268 + 0.0657488i −0.00220578 + 0.00323529i
\(414\) 8.33350 + 17.3047i 0.409569 + 0.850479i
\(415\) −22.2502 23.9800i −1.09222 1.17713i
\(416\) 2.17938 + 0.328488i 0.106853 + 0.0161055i
\(417\) −2.31179 30.8487i −0.113209 1.51067i
\(418\) −20.4998 + 8.04558i −1.00268 + 0.393522i
\(419\) −30.7998 7.02986i −1.50467 0.343431i −0.610810 0.791777i \(-0.709156\pi\)
−0.893860 + 0.448346i \(0.852013\pi\)
\(420\) 2.71368 + 0.203362i 0.132414 + 0.00992306i
\(421\) 35.3246 10.8962i 1.72161 0.531048i 0.732831 0.680410i \(-0.238198\pi\)
0.988782 + 0.149363i \(0.0477222\pi\)
\(422\) 19.4999 40.4919i 0.949240 1.97112i
\(423\) −17.3211 30.0010i −0.842179 1.45870i
\(424\) −1.49107 + 2.58260i −0.0724126 + 0.125422i
\(425\) −1.72267 1.25941i −0.0835620 0.0610903i
\(426\) −14.0466 61.5423i −0.680561 2.98173i
\(427\) 1.10225 0.166138i 0.0533418 0.00803998i
\(428\) 26.6862 + 21.2815i 1.28992 + 1.02868i
\(429\) 2.00355 0.0967323
\(430\) −5.86205 + 28.3452i −0.282693 + 1.36693i
\(431\) 18.8999i 0.910378i 0.890395 + 0.455189i \(0.150428\pi\)
−0.890395 + 0.455189i \(0.849572\pi\)
\(432\) 31.2441 + 24.9163i 1.50323 + 1.19879i
\(433\) −2.35378 + 0.354775i −0.113115 + 0.0170494i −0.205356 0.978687i \(-0.565835\pi\)
0.0922406 + 0.995737i \(0.470597\pi\)
\(434\) 0.518045 + 2.26970i 0.0248669 + 0.108949i
\(435\) −22.7168 33.3195i −1.08919 1.59755i
\(436\) −35.8875 20.7196i −1.71870 0.992290i
\(437\) 5.19093 2.99698i 0.248316 0.143365i
\(438\) −22.1736 10.6783i −1.05950 0.510227i
\(439\) −5.23674 16.9771i −0.249936 0.810272i −0.990407 0.138184i \(-0.955874\pi\)
0.740471 0.672089i \(-0.234603\pi\)
\(440\) −0.266340 + 3.55406i −0.0126972 + 0.169433i
\(441\) 10.8129 47.3744i 0.514899 2.25592i
\(442\) 1.76842 1.53581i 0.0841152 0.0730511i
\(443\) 1.88887 + 25.2053i 0.0897431 + 1.19754i 0.842299 + 0.539010i \(0.181202\pi\)
−0.752556 + 0.658528i \(0.771179\pi\)
\(444\) −18.6515 2.81126i −0.885162 0.133417i
\(445\) 15.7860 + 17.0132i 0.748328 + 0.806505i
\(446\) 28.1418 13.5524i 1.33255 0.641724i
\(447\) −10.0451 + 14.7335i −0.475118 + 0.696871i
\(448\) −1.69397 0.664835i −0.0800326 0.0314105i
\(449\) 6.00629 19.4719i 0.283455 0.918937i −0.696132 0.717914i \(-0.745097\pi\)
0.979586 0.201023i \(-0.0644267\pi\)
\(450\) −5.51466 5.11685i −0.259963 0.241211i
\(451\) 10.5126 + 13.1823i 0.495017 + 0.620731i
\(452\) −36.5748 + 29.1675i −1.72034 + 1.37192i
\(453\) 20.8568 22.4783i 0.979937 1.05612i
\(454\) −5.67543 + 18.3993i −0.266361 + 0.863521i
\(455\) −0.0365547 + 0.0931399i −0.00171371 + 0.00436647i
\(456\) −5.83336 + 8.55597i −0.273172 + 0.400670i
\(457\) −1.61904 + 0.779691i −0.0757357 + 0.0364724i −0.471368 0.881937i \(-0.656240\pi\)
0.395632 + 0.918409i \(0.370525\pi\)
\(458\) 18.9453 17.5787i 0.885257 0.821398i
\(459\) 50.7670 9.84341i 2.36960 0.459451i
\(460\) −0.490623 6.54690i −0.0228754 0.305251i
\(461\) 14.9260 + 38.0309i 0.695174 + 1.77127i 0.634246 + 0.773131i \(0.281311\pi\)
0.0609275 + 0.998142i \(0.480594\pi\)
\(462\) −2.59237 0.591692i −0.120608 0.0275280i
\(463\) 1.27011 16.9484i 0.0590269 0.787659i −0.886627 0.462485i \(-0.846958\pi\)
0.945654 0.325174i \(-0.105423\pi\)
\(464\) 5.66493 + 18.3652i 0.262988 + 0.852585i
\(465\) −18.6752 + 38.7795i −0.866043 + 1.79836i
\(466\) 12.9923 7.50110i 0.601856 0.347482i
\(467\) −13.2117 + 22.8833i −0.611363 + 1.05891i 0.379647 + 0.925131i \(0.376045\pi\)
−0.991011 + 0.133781i \(0.957288\pi\)
\(468\) 3.68330 2.51123i 0.170261 0.116082i
\(469\) 1.45137 0.331267i 0.0670182 0.0152965i
\(470\) 3.26896 + 21.6882i 0.150786 + 1.00040i
\(471\) 46.8270 + 37.3433i 2.15768 + 1.72069i
\(472\) −0.331672 −0.0152664
\(473\) 5.28655 14.3252i 0.243076 0.658673i
\(474\) −3.58084 −0.164473
\(475\) −1.46377 + 1.83551i −0.0671625 + 0.0842191i
\(476\) −1.48020 + 0.790887i −0.0678451 + 0.0362503i
\(477\) −6.39955 28.0383i −0.293015 1.28378i
\(478\) 2.98503 2.03516i 0.136532 0.0930860i
\(479\) 23.8380 + 13.7629i 1.08919 + 0.628842i 0.933360 0.358942i \(-0.116862\pi\)
0.155827 + 0.987784i \(0.450196\pi\)
\(480\) −27.0397 46.8341i −1.23419 2.13767i
\(481\) 0.300909 0.624845i 0.0137203 0.0284905i
\(482\) −2.37706 7.70622i −0.108272 0.351009i
\(483\) 0.721712 + 0.0540849i 0.0328391 + 0.00246095i
\(484\) −2.91268 + 12.7613i −0.132394 + 0.580058i
\(485\) 7.52496 + 19.1733i 0.341691 + 0.870614i
\(486\) 44.4795 3.33328i 2.01763 0.151201i
\(487\) 0.654789 4.34424i 0.0296713 0.196856i −0.969084 0.246730i \(-0.920644\pi\)
0.998756 + 0.0498739i \(0.0158819\pi\)
\(488\) 3.16013 + 3.40581i 0.143052 + 0.154174i
\(489\) 8.41958 4.05466i 0.380747 0.183358i
\(490\) −17.3309 + 25.4198i −0.782932 + 1.14835i
\(491\) 0.408388 1.04055i 0.0184303 0.0469596i −0.921362 0.388705i \(-0.872923\pi\)
0.939793 + 0.341745i \(0.111018\pi\)
\(492\) 51.2747 + 15.8161i 2.31164 + 0.713047i
\(493\) 22.8395 + 9.84218i 1.02864 + 0.443269i
\(494\) −1.60664 2.01467i −0.0722863 0.0906441i
\(495\) −21.4300 26.8723i −0.963205 1.20782i
\(496\) 13.9525 15.0372i 0.626486 0.675191i
\(497\) −1.58914 0.490184i −0.0712826 0.0219878i
\(498\) 94.6927 + 37.1641i 4.24328 + 1.66537i
\(499\) −18.9550 + 27.8019i −0.848542 + 1.24458i 0.119259 + 0.992863i \(0.461948\pi\)
−0.967800 + 0.251719i \(0.919004\pi\)
\(500\) 11.8944 + 24.6990i 0.531935 + 1.10457i
\(501\) 47.5963 44.1630i 2.12645 1.97306i
\(502\) −36.0890 5.43955i −1.61073 0.242779i
\(503\) −0.657650 + 0.0492841i −0.0293232 + 0.00219747i −0.0893836 0.995997i \(-0.528490\pi\)
0.0600604 + 0.998195i \(0.480871\pi\)
\(504\) −0.813750 + 0.319373i −0.0362473 + 0.0142260i
\(505\) 5.04307 + 1.15105i 0.224414 + 0.0512210i
\(506\) −0.479400 + 6.39715i −0.0213119 + 0.284388i
\(507\) −12.0311 39.0037i −0.534318 1.73222i
\(508\) 16.1760 + 7.78996i 0.717695 + 0.345624i
\(509\) 7.11450 + 12.3227i 0.315345 + 0.546193i 0.979511 0.201392i \(-0.0645466\pi\)
−0.664166 + 0.747585i \(0.731213\pi\)
\(510\) −56.5169 10.4293i −2.50261 0.461818i
\(511\) −0.535710 + 0.365241i −0.0236984 + 0.0161573i
\(512\) 6.76024 + 29.6186i 0.298763 + 1.30897i
\(513\) −8.47941 56.2572i −0.374375 2.48382i
\(514\) −24.6973 + 30.9694i −1.08935 + 1.36600i
\(515\) 8.23480i 0.362869i
\(516\) −11.7805 47.1448i −0.518607 2.07544i
\(517\) 11.5705i 0.508871i
\(518\) −0.573874 + 0.719615i −0.0252146 + 0.0316181i
\(519\) 9.37650 1.41328i 0.411583 0.0620361i
\(520\) −0.406578 + 0.0927988i −0.0178296 + 0.00406950i
\(521\) −19.2999 28.3078i −0.845546 1.24019i −0.968808 0.247814i \(-0.920288\pi\)
0.123262 0.992374i \(-0.460665\pi\)
\(522\) 75.9286 + 43.8374i 3.32330 + 1.91871i
\(523\) 14.2320 + 24.6506i 0.622322 + 1.07789i 0.989052 + 0.147566i \(0.0471440\pi\)
−0.366730 + 0.930327i \(0.619523\pi\)
\(524\) −4.35577 + 9.04484i −0.190283 + 0.395126i
\(525\) −0.270878 + 0.0835548i −0.0118221 + 0.00364663i
\(526\) −2.99797 + 40.0051i −0.130718 + 1.74431i
\(527\) −3.09118 26.3638i −0.134654 1.14843i
\(528\) 8.55973 + 21.8098i 0.372514 + 0.949151i
\(529\) 1.58831 + 21.1945i 0.0690569 + 0.921501i
\(530\) −2.71384 + 18.0052i −0.117882 + 0.782094i
\(531\) 2.34474 2.17560i 0.101753 0.0944130i
\(532\) 0.801106 + 1.66351i 0.0347324 + 0.0721225i
\(533\) −1.11139 + 1.63010i −0.0481395 + 0.0706076i
\(534\) −67.1822 26.3671i −2.90726 1.14101i
\(535\) 29.4258 + 9.07666i 1.27219 + 0.392418i
\(536\) 4.54850 + 4.22039i 0.196465 + 0.182293i
\(537\) −40.7048 + 32.4610i −1.75654 + 1.40080i
\(538\) −11.3768 + 9.07271i −0.490489 + 0.391152i
\(539\) 11.0392 11.8974i 0.475493 0.512459i
\(540\) −59.5467 18.3677i −2.56248 0.790421i
\(541\) −2.14152 0.840485i −0.0920712 0.0361353i 0.318858 0.947802i \(-0.396701\pi\)
−0.410930 + 0.911667i \(0.634796\pi\)
\(542\) 42.4522 + 28.9434i 1.82348 + 1.24323i
\(543\) 2.07971 1.00154i 0.0892490 0.0429801i
\(544\) 29.5565 + 15.4506i 1.26722 + 0.662440i
\(545\) −36.9680 5.57202i −1.58353 0.238679i
\(546\) −0.0232515 0.310270i −0.000995073 0.0132783i
\(547\) −1.48662 + 0.583455i −0.0635633 + 0.0249468i −0.396910 0.917858i \(-0.629917\pi\)
0.333346 + 0.942804i \(0.391822\pi\)
\(548\) −5.08090 + 22.2609i −0.217045 + 0.950938i
\(549\) −44.6808 3.34836i −1.90693 0.142905i
\(550\) −0.740617 2.40102i −0.0315800 0.102380i
\(551\) 11.8716 24.6516i 0.505746 1.05019i
\(552\) 1.50826 + 2.61239i 0.0641959 + 0.111191i
\(553\) −0.0471684 + 0.0816981i −0.00200581 + 0.00347416i
\(554\) 16.6544 + 24.4275i 0.707577 + 1.03783i
\(555\) −16.5904 + 3.78664i −0.704222 + 0.160734i
\(556\) −3.42643 22.7329i −0.145313 0.964090i
\(557\) 10.1619 12.7426i 0.430573 0.539922i −0.518458 0.855103i \(-0.673494\pi\)
0.949032 + 0.315181i \(0.102065\pi\)
\(558\) 93.5781i 3.96148i
\(559\) 1.78408 + 0.0970334i 0.0754587 + 0.00410407i
\(560\) −1.17006 −0.0494439
\(561\) 28.6617 + 9.88404i 1.21010 + 0.417305i
\(562\) 38.6209 5.82116i 1.62912 0.245551i
\(563\) 2.32214 + 10.1739i 0.0978664 + 0.428781i 0.999996 0.00268372i \(-0.000854256\pi\)
−0.902130 + 0.431464i \(0.857997\pi\)
\(564\) −20.7428 30.4242i −0.873431 1.28109i
\(565\) −21.1024 + 36.5504i −0.887783 + 1.53768i
\(566\) 33.3701 19.2662i 1.40265 0.809819i
\(567\) 1.40655 2.92073i 0.0590695 0.122659i
\(568\) −2.04308 6.62351i −0.0857258 0.277916i
\(569\) −2.45951 + 32.8198i −0.103108 + 1.37588i 0.670357 + 0.742039i \(0.266141\pi\)
−0.773465 + 0.633840i \(0.781478\pi\)
\(570\) −14.0696 + 61.6430i −0.589311 + 2.58194i
\(571\) −12.7883 + 5.01903i −0.535173 + 0.210040i −0.617508 0.786565i \(-0.711858\pi\)
0.0823345 + 0.996605i \(0.473762\pi\)
\(572\) 1.48478 0.111269i 0.0620820 0.00465240i
\(573\) −6.50294 + 43.1442i −0.271664 + 1.80237i
\(574\) 1.91942 1.78096i 0.0801149 0.0743358i
\(575\) 0.296730 + 0.616165i 0.0123745 + 0.0256959i
\(576\) 60.4364 + 41.2049i 2.51819 + 1.71687i
\(577\) −11.5149 + 29.3395i −0.479372 + 1.22142i 0.462852 + 0.886436i \(0.346826\pi\)
−0.942224 + 0.334984i \(0.891269\pi\)
\(578\) 32.8746 13.2464i 1.36740 0.550977i
\(579\) 5.72690 + 5.31379i 0.238002 + 0.220834i
\(580\) −18.6854 23.4307i −0.775868 0.972908i
\(581\) 2.09525 1.67091i 0.0869256 0.0693209i
\(582\) −46.9517 43.5648i −1.94621 1.80582i
\(583\) 2.83132 9.17890i 0.117261 0.380151i
\(584\) −2.51560 0.987300i −0.104096 0.0408548i
\(585\) 2.26557 3.32299i 0.0936699 0.137389i
\(586\) −37.5528 + 18.0845i −1.55129 + 0.747063i
\(587\) 7.66902 7.11581i 0.316534 0.293701i −0.505864 0.862613i \(-0.668826\pi\)
0.822398 + 0.568912i \(0.192636\pi\)
\(588\) 7.69820 51.0742i 0.317468 2.10626i
\(589\) −29.1218 + 2.18238i −1.19994 + 0.0899234i
\(590\) −1.88515 + 0.739869i −0.0776106 + 0.0304599i
\(591\) −12.1028 + 53.0258i −0.497842 + 2.18119i
\(592\) 8.08738 + 0.606065i 0.332389 + 0.0249091i
\(593\) 42.9891 13.2604i 1.76535 0.544539i 0.769760 0.638333i \(-0.220376\pi\)
0.995592 + 0.0937946i \(0.0298997\pi\)
\(594\) 54.8597 + 26.4191i 2.25092 + 1.08399i
\(595\) −0.982416 + 1.15208i −0.0402751 + 0.0472305i
\(596\) −6.62598 + 11.4765i −0.271411 + 0.470097i
\(597\) −22.0237 + 15.0155i −0.901372 + 0.614545i
\(598\) −0.731823 + 0.167034i −0.0299264 + 0.00683052i
\(599\) 32.2543 4.86156i 1.31788 0.198638i 0.547810 0.836603i \(-0.315462\pi\)
0.770066 + 0.637965i \(0.220223\pi\)
\(600\) −0.923740 0.736658i −0.0377115 0.0300739i
\(601\) 6.31054i 0.257412i 0.991683 + 0.128706i \(0.0410824\pi\)
−0.991683 + 0.128706i \(0.958918\pi\)
\(602\) −2.27975 0.652430i −0.0929158 0.0265910i
\(603\) −59.8391 −2.43684
\(604\) 14.2081 17.8164i 0.578121 0.724941i
\(605\) 1.76004 + 11.6771i 0.0715558 + 0.474742i
\(606\) −15.6822 + 3.57935i −0.637045 + 0.145401i
\(607\) −7.53166 11.0469i −0.305701 0.448380i 0.642391 0.766377i \(-0.277942\pi\)
−0.948092 + 0.317996i \(0.896990\pi\)
\(608\) 18.3461 31.7764i 0.744032 1.28870i
\(609\) 2.86109 1.65185i 0.115937 0.0669363i
\(610\) 25.5590 + 12.3085i 1.03485 + 0.498358i
\(611\) 1.29374 0.399066i 0.0523392 0.0161445i
\(612\) 65.0799 17.7536i 2.63070 0.717648i
\(613\) 4.88457 21.4007i 0.197286 0.864367i −0.775257 0.631645i \(-0.782380\pi\)
0.972543 0.232721i \(-0.0747630\pi\)
\(614\) −1.98292 5.05240i −0.0800242 0.203898i
\(615\) 48.2742 3.61765i 1.94660 0.145878i
\(616\) −0.288716 0.0435169i −0.0116327 0.00175335i
\(617\) 3.83826 + 4.13667i 0.154523 + 0.166536i 0.805569 0.592502i \(-0.201860\pi\)
−0.651046 + 0.759038i \(0.725669\pi\)
\(618\) 11.1106 + 23.0714i 0.446934 + 0.928067i
\(619\) 5.16332 7.57321i 0.207532 0.304393i −0.708334 0.705877i \(-0.750553\pi\)
0.915866 + 0.401484i \(0.131506\pi\)
\(620\) −11.6861 + 29.7758i −0.469326 + 1.19582i
\(621\) −15.8366 4.88496i −0.635503 0.196027i
\(622\) 18.2842 19.7057i 0.733131 0.790127i
\(623\) −1.48653 + 1.18547i −0.0595566 + 0.0474948i
\(624\) −2.14341 + 1.70931i −0.0858051 + 0.0684273i
\(625\) 16.2330 + 15.0620i 0.649318 + 0.602479i
\(626\) −12.9829 + 42.0896i −0.518902 + 1.68224i
\(627\) 12.1860 31.0495i 0.486662 1.24000i
\(628\) 36.7764 + 25.0737i 1.46754 + 1.00055i
\(629\) 7.38718 7.45423i 0.294546 0.297220i
\(630\) −3.91275 + 3.63051i −0.155888 + 0.144643i
\(631\) −46.3660 6.98856i −1.84580 0.278210i −0.869391 0.494125i \(-0.835489\pi\)
−0.976412 + 0.215915i \(0.930727\pi\)
\(632\) −0.392095 + 0.0293835i −0.0155967 + 0.00116881i
\(633\) 24.8692 + 63.3656i 0.988461 + 2.51856i
\(634\) 21.8813 + 4.99426i 0.869016 + 0.198347i
\(635\) 16.1524 + 1.21046i 0.640989 + 0.0480355i
\(636\) −9.01050 29.2113i −0.357290 1.15830i
\(637\) 1.71104 + 0.823993i 0.0677938 + 0.0326478i
\(638\) 14.6417 + 25.3602i 0.579672 + 1.00402i
\(639\) 57.8904 + 33.4230i 2.29011 + 1.32220i
\(640\) −6.79388 9.96479i −0.268552 0.393893i
\(641\) −22.2192 + 5.07140i −0.877608 + 0.200308i −0.637511 0.770441i \(-0.720036\pi\)
−0.240096 + 0.970749i \(0.577179\pi\)
\(642\) −94.6885 + 14.2720i −3.73706 + 0.563271i
\(643\) 10.1245 + 8.07406i 0.399273 + 0.318410i 0.802458 0.596709i \(-0.203525\pi\)
−0.403185 + 0.915119i \(0.632097\pi\)
\(644\) 0.537848 0.0211942
\(645\) −25.4324 35.7099i −1.00140 1.40608i
\(646\) −13.0449 36.7467i −0.513244 1.44578i
\(647\) 0.908861 1.13968i 0.0357310 0.0448053i −0.763645 0.645636i \(-0.776592\pi\)
0.799376 + 0.600831i \(0.205164\pi\)
\(648\) 13.3607 2.01380i 0.524859 0.0791097i
\(649\) 1.04155 0.237727i 0.0408845 0.00933161i
\(650\) 0.242923 0.165622i 0.00952822 0.00649623i
\(651\) −3.05373 1.76307i −0.119685 0.0691003i
\(652\) 6.01438 3.47240i 0.235541 0.135990i
\(653\) −3.62189 + 7.52092i −0.141735 + 0.294316i −0.959737 0.280899i \(-0.909367\pi\)
0.818002 + 0.575215i \(0.195082\pi\)
\(654\) 111.091 34.2670i 4.34400 1.33995i
\(655\) −0.676828 + 9.03164i −0.0264459 + 0.352895i
\(656\) −22.4928 5.13384i −0.878197 0.200443i
\(657\) 24.2601 9.52140i 0.946478 0.371465i
\(658\) −1.79181 + 0.134278i −0.0698521 + 0.00523469i
\(659\) 17.1145 + 2.57960i 0.666687 + 0.100487i 0.473662 0.880707i \(-0.342932\pi\)
0.193025 + 0.981194i \(0.438170\pi\)
\(660\) −24.8496 26.7815i −0.967271 1.04247i
\(661\) −20.4782 + 9.86176i −0.796508 + 0.383578i −0.787448 0.616381i \(-0.788598\pi\)
−0.00905999 + 0.999959i \(0.502884\pi\)
\(662\) −4.81677 3.28402i −0.187209 0.127637i
\(663\) −0.116630 + 3.54567i −0.00452954 + 0.137702i
\(664\) 10.6736 + 3.29238i 0.414218 + 0.127769i
\(665\) 1.22108 + 1.13299i 0.0473513 + 0.0439356i
\(666\) 28.9253 23.0672i 1.12083 0.893835i
\(667\) −4.96944 6.23148i −0.192417 0.241284i
\(668\) 32.8199 35.3715i 1.26984 1.36856i
\(669\) −13.9447 + 45.2075i −0.539132 + 1.74782i
\(670\) 35.2673 + 13.8414i 1.36249 + 0.534739i
\(671\) −12.3649 8.43025i −0.477342 0.325446i
\(672\) 3.99162 1.92226i 0.153980 0.0741529i
\(673\) 19.3407 + 20.8444i 0.745530 + 0.803491i 0.985926 0.167184i \(-0.0534675\pi\)
−0.240395 + 0.970675i \(0.577277\pi\)
\(674\) 3.11328 20.6552i 0.119919 0.795610i
\(675\) 6.47311 0.485093i 0.249150 0.0186712i
\(676\) −11.0821 28.2366i −0.426233 1.08602i
\(677\) 34.5264 + 7.88042i 1.32696 + 0.302869i 0.826522 0.562905i \(-0.190316\pi\)
0.500435 + 0.865774i \(0.333173\pi\)
\(678\) 9.80770 130.875i 0.376663 5.02621i
\(679\) −1.61242 + 0.497365i −0.0618789 + 0.0190871i
\(680\) −6.27409 0.678228i −0.240600 0.0260089i
\(681\) −14.5818 25.2564i −0.558776 0.967829i
\(682\) 15.6276 27.0678i 0.598412 1.03648i
\(683\) −23.1653 33.9772i −0.886394 1.30010i −0.953202 0.302335i \(-0.902234\pi\)
0.0668081 0.997766i \(-0.478718\pi\)
\(684\) −16.5145 72.3548i −0.631448 2.76655i
\(685\) 3.07023 + 20.3697i 0.117307 + 0.778284i
\(686\) −3.94961 3.14971i −0.150797 0.120256i
\(687\) 39.1446i 1.49346i
\(688\) 6.56584 + 19.8354i 0.250320 + 0.756216i
\(689\) 1.12398 0.0428202
\(690\) 14.4002 + 11.4838i 0.548205 + 0.437179i
\(691\) −5.20716 34.5473i −0.198090 1.31424i −0.837949 0.545748i \(-0.816246\pi\)
0.639860 0.768492i \(-0.278992\pi\)
\(692\) 6.87022 1.56808i 0.261167 0.0596096i
\(693\) 2.32651 1.58619i 0.0883769 0.0602544i
\(694\) −62.9247 36.3296i −2.38859 1.37905i
\(695\) −10.3704 17.9620i −0.393371 0.681338i
\(696\) 12.4061 + 5.97448i 0.470254 + 0.226462i
\(697\) −23.9406 + 17.8366i −0.906816 + 0.675611i
\(698\) −0.629016 + 8.39364i −0.0238086 + 0.317704i
\(699\) −5.05627 + 22.1530i −0.191246 + 0.837902i
\(700\) −0.196101 + 0.0769641i −0.00741193 + 0.00290897i
\(701\) −2.78012 37.0982i −0.105004 1.40118i −0.762143 0.647409i \(-0.775853\pi\)
0.657139 0.753770i \(-0.271767\pi\)
\(702\) −1.06190 + 7.04526i −0.0400789 + 0.265906i
\(703\) −7.85317 8.46370i −0.296188 0.319215i
\(704\) 10.6002 + 22.0116i 0.399511 + 0.829593i
\(705\) −27.4480 18.7137i −1.03375 0.704799i
\(706\) 9.97347 25.4120i 0.375356 0.956392i
\(707\) −0.124909 + 0.404944i −0.00469767 + 0.0152295i
\(708\) 2.31253 2.49232i 0.0869103 0.0936671i
\(709\) −28.2106 + 22.4972i −1.05947 + 0.844901i −0.988294 0.152563i \(-0.951247\pi\)
−0.0711780 + 0.997464i \(0.522676\pi\)
\(710\) −26.3877 33.0891i −0.990313 1.24181i
\(711\) 2.57916 2.77968i 0.0967261 0.104246i
\(712\) −7.57270 2.33587i −0.283799 0.0875404i
\(713\) −3.10797 + 7.91897i −0.116394 + 0.296568i
\(714\) 1.19802 4.55326i 0.0448348 0.170402i
\(715\) 1.21027 0.582834i 0.0452614 0.0217967i
\(716\) −28.3627 + 26.3167i −1.05996 + 0.983502i
\(717\) −0.815562 + 5.41090i −0.0304577 + 0.202074i
\(718\) 5.75841 + 76.8406i 0.214902 + 2.86767i
\(719\) −7.46986 + 2.93171i −0.278579 + 0.109334i −0.500517 0.865727i \(-0.666857\pi\)
0.221938 + 0.975061i \(0.428762\pi\)
\(720\) 45.8519 + 10.4654i 1.70880 + 0.390022i
\(721\) 0.672736 + 0.0504146i 0.0250540 + 0.00187754i
\(722\) −3.14077 + 0.968800i −0.116887 + 0.0360550i
\(723\) 11.0050 + 5.29975i 0.409282 + 0.197100i
\(724\) 1.48561 0.857715i 0.0552121 0.0318767i
\(725\) 2.70358 + 1.56091i 0.100408 + 0.0579707i
\(726\) −20.6861 30.3410i −0.767734 1.12606i
\(727\) 0.329640 + 1.44425i 0.0122257 + 0.0535641i 0.980673 0.195655i \(-0.0626832\pi\)
−0.968447 + 0.249219i \(0.919826\pi\)
\(728\) −0.00509200 0.0337832i −0.000188722 0.00125209i
\(729\) −7.16243 + 8.98141i −0.265275 + 0.332645i
\(730\) −16.5006 −0.610713
\(731\) 25.0435 + 10.1895i 0.926266 + 0.376871i
\(732\) −47.6262 −1.76032
\(733\) 18.3157 22.9672i 0.676508 0.848314i −0.318520 0.947916i \(-0.603186\pi\)
0.995027 + 0.0996025i \(0.0317571\pi\)
\(734\) −8.00795 53.1293i −0.295579 1.96104i
\(735\) −10.3691 45.4301i −0.382471 1.67571i
\(736\) −6.02105 8.83125i −0.221939 0.325524i
\(737\) −17.3087 9.99317i −0.637573 0.368103i
\(738\) −91.1472 + 52.6238i −3.35517 + 1.93711i
\(739\) −15.8285 7.62263i −0.582263 0.280403i 0.119476 0.992837i \(-0.461878\pi\)
−0.701739 + 0.712434i \(0.747593\pi\)
\(740\) −12.0845 + 3.72756i −0.444233 + 0.137028i
\(741\) 3.89205 + 0.291669i 0.142978 + 0.0107147i
\(742\) −1.45430 0.331935i −0.0533892 0.0121857i
\(743\) −7.08657 + 2.78127i −0.259981 + 0.102035i −0.491752 0.870735i \(-0.663643\pi\)
0.231771 + 0.972770i \(0.425548\pi\)
\(744\) −1.09830 14.6558i −0.0402658 0.537309i
\(745\) −1.78189 + 11.8221i −0.0652834 + 0.433127i
\(746\) 52.4946 48.7078i 1.92196 1.78332i
\(747\) −97.0533 + 46.7384i −3.55100 + 1.71007i
\(748\) 21.7895 + 5.73308i 0.796702 + 0.209622i
\(749\) −0.921660 + 2.34835i −0.0336767 + 0.0858069i
\(750\) −73.4914 22.6691i −2.68352 0.827758i
\(751\) −33.8883 + 36.5229i −1.23660 + 1.33274i −0.312821 + 0.949812i \(0.601274\pi\)
−0.923779 + 0.382926i \(0.874916\pi\)