Properties

Label 74.2.h.a.25.1
Level $74$
Weight $2$
Character 74.25
Analytic conductor $0.591$
Analytic rank $0$
Dimension $12$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 74 = 2 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 74.h (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.590892974957\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(2\) over \(\Q(\zeta_{18})\)
Coefficient field: \(\Q(\zeta_{36})\)
Defining polynomial: \( x^{12} - x^{6} + 1 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 25.1
Root \(-0.642788 - 0.766044i\) of defining polynomial
Character \(\chi\) \(=\) 74.25
Dual form 74.2.h.a.3.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.642788 - 0.766044i) q^{2} +(1.43969 + 1.20805i) q^{3} +(-0.173648 + 0.984808i) q^{4} +(0.273629 + 0.751790i) q^{5} -1.87939i q^{6} +(-0.138449 + 0.0503913i) q^{7} +(0.866025 - 0.500000i) q^{8} +(0.0923963 + 0.524005i) q^{9} +O(q^{10})\) \(q+(-0.642788 - 0.766044i) q^{2} +(1.43969 + 1.20805i) q^{3} +(-0.173648 + 0.984808i) q^{4} +(0.273629 + 0.751790i) q^{5} -1.87939i q^{6} +(-0.138449 + 0.0503913i) q^{7} +(0.866025 - 0.500000i) q^{8} +(0.0923963 + 0.524005i) q^{9} +(0.400019 - 0.692853i) q^{10} +(-2.40570 - 4.16679i) q^{11} +(-1.43969 + 1.20805i) q^{12} +(1.91858 + 0.338298i) q^{13} +(0.127595 + 0.0736672i) q^{14} +(-0.514255 + 1.41290i) q^{15} +(-0.939693 - 0.342020i) q^{16} +(-3.43779 + 0.606175i) q^{17} +(0.342020 - 0.407604i) q^{18} +(-4.33625 + 5.16775i) q^{19} +(-0.787884 + 0.138925i) q^{20} +(-0.260199 - 0.0947047i) q^{21} +(-1.64560 + 4.52124i) q^{22} +(-3.61610 - 2.08776i) q^{23} +(1.85083 + 0.326352i) q^{24} +(3.33991 - 2.80251i) q^{25} +(-0.974090 - 1.68717i) q^{26} +(2.31908 - 4.01676i) q^{27} +(-0.0255844 - 0.145096i) q^{28} +(2.63134 - 1.51921i) q^{29} +(1.41290 - 0.514255i) q^{30} +8.13740i q^{31} +(0.342020 + 0.939693i) q^{32} +(1.57021 - 8.90509i) q^{33} +(2.67412 + 2.24386i) q^{34} +(-0.0757674 - 0.0902961i) q^{35} -0.532089 q^{36} +(6.08227 + 0.0772535i) q^{37} +6.74601 q^{38} +(2.35349 + 2.80478i) q^{39} +(0.612865 + 0.514255i) q^{40} +(0.676822 - 3.83845i) q^{41} +(0.0947047 + 0.260199i) q^{42} -8.10852i q^{43} +(4.52124 - 1.64560i) q^{44} +(-0.368660 + 0.212846i) q^{45} +(0.725070 + 4.11208i) q^{46} +(-4.16911 + 7.22111i) q^{47} +(-0.939693 - 1.62760i) q^{48} +(-5.34568 + 4.48556i) q^{49} +(-4.29370 - 0.757095i) q^{50} +(-5.68164 - 3.28030i) q^{51} +(-0.666317 + 1.83069i) q^{52} +(10.2327 + 3.72440i) q^{53} +(-4.56769 + 0.805407i) q^{54} +(2.47428 - 2.94874i) q^{55} +(-0.0947047 + 0.112865i) q^{56} +(-12.4857 + 2.20157i) q^{57} +(-2.85517 - 1.03920i) q^{58} +(-2.96569 + 8.14816i) q^{59} +(-1.30214 - 0.751790i) q^{60} +(-0.346344 - 0.0610698i) q^{61} +(6.23361 - 5.23062i) q^{62} +(-0.0391975 - 0.0678921i) q^{63} +(0.500000 - 0.866025i) q^{64} +(0.270651 + 1.53494i) q^{65} +(-7.83101 + 4.52124i) q^{66} +(-2.25471 + 0.820647i) q^{67} -3.49082i q^{68} +(-2.68397 - 7.37414i) q^{69} +(-0.0204685 + 0.116082i) q^{70} +(5.34953 + 4.48879i) q^{71} +(0.342020 + 0.407604i) q^{72} +1.13399 q^{73} +(-3.85043 - 4.70895i) q^{74} +8.19401 q^{75} +(-4.33625 - 5.16775i) q^{76} +(0.543037 + 0.455662i) q^{77} +(0.635792 - 3.60576i) q^{78} +(0.646510 + 1.77627i) q^{79} -0.800038i q^{80} +(9.69119 - 3.52730i) q^{81} +(-3.37547 + 1.94883i) q^{82} +(-1.71997 - 9.75442i) q^{83} +(0.138449 - 0.239801i) q^{84} +(-1.39639 - 2.41863i) q^{85} +(-6.21149 + 5.21206i) q^{86} +(5.62359 + 0.991591i) q^{87} +(-4.16679 - 2.40570i) q^{88} +(-3.45924 + 9.50418i) q^{89} +(0.400019 + 0.145595i) q^{90} +(-0.282673 + 0.0498429i) q^{91} +(2.68397 - 3.19863i) q^{92} +(-9.83035 + 11.7154i) q^{93} +(8.21154 - 1.44792i) q^{94} +(-5.07158 - 1.84591i) q^{95} +(-0.642788 + 1.76604i) q^{96} +(5.08812 + 2.93763i) q^{97} +(6.87228 + 1.21177i) q^{98} +(1.96114 - 1.64560i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12 q + 6 q^{3} - 12 q^{7} - 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 12 q + 6 q^{3} - 12 q^{7} - 6 q^{9} + 6 q^{10} - 6 q^{11} - 6 q^{12} + 6 q^{13} - 18 q^{14} - 18 q^{19} - 6 q^{21} - 18 q^{25} + 12 q^{26} - 6 q^{27} - 6 q^{28} + 18 q^{29} + 24 q^{30} - 6 q^{33} + 12 q^{34} + 18 q^{35} + 12 q^{36} + 30 q^{37} - 24 q^{38} + 30 q^{39} + 12 q^{40} + 24 q^{41} + 6 q^{44} - 18 q^{45} + 30 q^{46} + 6 q^{47} + 12 q^{49} - 36 q^{50} - 12 q^{52} - 12 q^{53} - 18 q^{55} - 36 q^{57} + 6 q^{58} - 36 q^{61} - 6 q^{63} + 6 q^{64} + 36 q^{65} - 30 q^{67} - 18 q^{69} - 12 q^{70} + 12 q^{71} - 48 q^{74} - 36 q^{75} - 18 q^{76} + 12 q^{77} - 6 q^{78} + 6 q^{79} + 24 q^{81} - 48 q^{83} + 12 q^{84} + 18 q^{85} - 36 q^{86} + 36 q^{87} - 36 q^{88} - 18 q^{89} + 6 q^{90} - 6 q^{91} + 18 q^{92} - 12 q^{93} + 36 q^{97} + 36 q^{98} + 30 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).

\(n\) \(39\)
\(\chi(n)\) \(e\left(\frac{5}{18}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.642788 0.766044i −0.454519 0.541675i
\(3\) 1.43969 + 1.20805i 0.831207 + 0.697465i 0.955568 0.294772i \(-0.0952436\pi\)
−0.124361 + 0.992237i \(0.539688\pi\)
\(4\) −0.173648 + 0.984808i −0.0868241 + 0.492404i
\(5\) 0.273629 + 0.751790i 0.122371 + 0.336211i 0.985719 0.168397i \(-0.0538592\pi\)
−0.863349 + 0.504608i \(0.831637\pi\)
\(6\) 1.87939i 0.767256i
\(7\) −0.138449 + 0.0503913i −0.0523288 + 0.0190461i −0.368052 0.929805i \(-0.619975\pi\)
0.315723 + 0.948851i \(0.397753\pi\)
\(8\) 0.866025 0.500000i 0.306186 0.176777i
\(9\) 0.0923963 + 0.524005i 0.0307988 + 0.174668i
\(10\) 0.400019 0.692853i 0.126497 0.219099i
\(11\) −2.40570 4.16679i −0.725346 1.25634i −0.958832 0.283975i \(-0.908347\pi\)
0.233486 0.972360i \(-0.424987\pi\)
\(12\) −1.43969 + 1.20805i −0.415603 + 0.348733i
\(13\) 1.91858 + 0.338298i 0.532119 + 0.0938270i 0.433251 0.901274i \(-0.357367\pi\)
0.0988686 + 0.995100i \(0.468478\pi\)
\(14\) 0.127595 + 0.0736672i 0.0341013 + 0.0196884i
\(15\) −0.514255 + 1.41290i −0.132780 + 0.364810i
\(16\) −0.939693 0.342020i −0.234923 0.0855050i
\(17\) −3.43779 + 0.606175i −0.833786 + 0.147019i −0.574214 0.818705i \(-0.694692\pi\)
−0.259572 + 0.965724i \(0.583581\pi\)
\(18\) 0.342020 0.407604i 0.0806149 0.0960731i
\(19\) −4.33625 + 5.16775i −0.994805 + 1.18556i −0.0121861 + 0.999926i \(0.503879\pi\)
−0.982619 + 0.185636i \(0.940565\pi\)
\(20\) −0.787884 + 0.138925i −0.176176 + 0.0310646i
\(21\) −0.260199 0.0947047i −0.0567801 0.0206663i
\(22\) −1.64560 + 4.52124i −0.350842 + 0.963931i
\(23\) −3.61610 2.08776i −0.754009 0.435327i 0.0731316 0.997322i \(-0.476701\pi\)
−0.827141 + 0.561995i \(0.810034\pi\)
\(24\) 1.85083 + 0.326352i 0.377800 + 0.0666163i
\(25\) 3.33991 2.80251i 0.667981 0.560503i
\(26\) −0.974090 1.68717i −0.191035 0.330882i
\(27\) 2.31908 4.01676i 0.446307 0.773026i
\(28\) −0.0255844 0.145096i −0.00483499 0.0274206i
\(29\) 2.63134 1.51921i 0.488628 0.282109i −0.235377 0.971904i \(-0.575633\pi\)
0.724005 + 0.689795i \(0.242299\pi\)
\(30\) 1.41290 0.514255i 0.257960 0.0938896i
\(31\) 8.13740i 1.46152i 0.682634 + 0.730760i \(0.260834\pi\)
−0.682634 + 0.730760i \(0.739166\pi\)
\(32\) 0.342020 + 0.939693i 0.0604612 + 0.166116i
\(33\) 1.57021 8.90509i 0.273338 1.55018i
\(34\) 2.67412 + 2.24386i 0.458609 + 0.384818i
\(35\) −0.0757674 0.0902961i −0.0128070 0.0152628i
\(36\) −0.532089 −0.0886815
\(37\) 6.08227 + 0.0772535i 0.999919 + 0.0127004i
\(38\) 6.74601 1.09435
\(39\) 2.35349 + 2.80478i 0.376860 + 0.449124i
\(40\) 0.612865 + 0.514255i 0.0969024 + 0.0813108i
\(41\) 0.676822 3.83845i 0.105702 0.599465i −0.885236 0.465142i \(-0.846003\pi\)
0.990938 0.134322i \(-0.0428858\pi\)
\(42\) 0.0947047 + 0.260199i 0.0146133 + 0.0401496i
\(43\) 8.10852i 1.23654i −0.785966 0.618269i \(-0.787834\pi\)
0.785966 0.618269i \(-0.212166\pi\)
\(44\) 4.52124 1.64560i 0.681602 0.248083i
\(45\) −0.368660 + 0.212846i −0.0549565 + 0.0317292i
\(46\) 0.725070 + 4.11208i 0.106906 + 0.606293i
\(47\) −4.16911 + 7.22111i −0.608127 + 1.05331i 0.383422 + 0.923573i \(0.374746\pi\)
−0.991549 + 0.129734i \(0.958588\pi\)
\(48\) −0.939693 1.62760i −0.135633 0.234923i
\(49\) −5.34568 + 4.48556i −0.763669 + 0.640794i
\(50\) −4.29370 0.757095i −0.607221 0.107069i
\(51\) −5.68164 3.28030i −0.795589 0.459334i
\(52\) −0.666317 + 1.83069i −0.0924015 + 0.253871i
\(53\) 10.2327 + 3.72440i 1.40557 + 0.511586i 0.929827 0.367998i \(-0.119957\pi\)
0.475744 + 0.879584i \(0.342179\pi\)
\(54\) −4.56769 + 0.805407i −0.621584 + 0.109602i
\(55\) 2.47428 2.94874i 0.333632 0.397607i
\(56\) −0.0947047 + 0.112865i −0.0126555 + 0.0150822i
\(57\) −12.4857 + 2.20157i −1.65378 + 0.291606i
\(58\) −2.85517 1.03920i −0.374902 0.136453i
\(59\) −2.96569 + 8.14816i −0.386100 + 1.06080i 0.582642 + 0.812729i \(0.302019\pi\)
−0.968742 + 0.248072i \(0.920203\pi\)
\(60\) −1.30214 0.751790i −0.168105 0.0970557i
\(61\) −0.346344 0.0610698i −0.0443448 0.00781919i 0.151432 0.988468i \(-0.451612\pi\)
−0.195777 + 0.980649i \(0.562723\pi\)
\(62\) 6.23361 5.23062i 0.791670 0.664290i
\(63\) −0.0391975 0.0678921i −0.00493842 0.00855360i
\(64\) 0.500000 0.866025i 0.0625000 0.108253i
\(65\) 0.270651 + 1.53494i 0.0335702 + 0.190386i
\(66\) −7.83101 + 4.52124i −0.963931 + 0.556526i
\(67\) −2.25471 + 0.820647i −0.275457 + 0.100258i −0.476055 0.879416i \(-0.657934\pi\)
0.200598 + 0.979674i \(0.435711\pi\)
\(68\) 3.49082i 0.423324i
\(69\) −2.68397 7.37414i −0.323112 0.887742i
\(70\) −0.0204685 + 0.116082i −0.00244645 + 0.0138745i
\(71\) 5.34953 + 4.48879i 0.634873 + 0.532721i 0.902439 0.430818i \(-0.141775\pi\)
−0.267566 + 0.963539i \(0.586219\pi\)
\(72\) 0.342020 + 0.407604i 0.0403075 + 0.0480366i
\(73\) 1.13399 0.132724 0.0663618 0.997796i \(-0.478861\pi\)
0.0663618 + 0.997796i \(0.478861\pi\)
\(74\) −3.85043 4.70895i −0.447603 0.547404i
\(75\) 8.19401 0.946162
\(76\) −4.33625 5.16775i −0.497402 0.592781i
\(77\) 0.543037 + 0.455662i 0.0618848 + 0.0519275i
\(78\) 0.635792 3.60576i 0.0719893 0.408271i
\(79\) 0.646510 + 1.77627i 0.0727380 + 0.199846i 0.970734 0.240158i \(-0.0771992\pi\)
−0.897996 + 0.440004i \(0.854977\pi\)
\(80\) 0.800038i 0.0894470i
\(81\) 9.69119 3.52730i 1.07680 0.391923i
\(82\) −3.37547 + 1.94883i −0.372759 + 0.215212i
\(83\) −1.71997 9.75442i −0.188791 1.07069i −0.920987 0.389593i \(-0.872616\pi\)
0.732196 0.681094i \(-0.238495\pi\)
\(84\) 0.138449 0.239801i 0.0151060 0.0261644i
\(85\) −1.39639 2.41863i −0.151460 0.262337i
\(86\) −6.21149 + 5.21206i −0.669802 + 0.562031i
\(87\) 5.62359 + 0.991591i 0.602912 + 0.106310i
\(88\) −4.16679 2.40570i −0.444182 0.256448i
\(89\) −3.45924 + 9.50418i −0.366679 + 1.00744i 0.609937 + 0.792450i \(0.291195\pi\)
−0.976616 + 0.214992i \(0.931028\pi\)
\(90\) 0.400019 + 0.145595i 0.0421657 + 0.0153471i
\(91\) −0.282673 + 0.0498429i −0.0296322 + 0.00522496i
\(92\) 2.68397 3.19863i 0.279823 0.333480i
\(93\) −9.83035 + 11.7154i −1.01936 + 1.21483i
\(94\) 8.21154 1.44792i 0.846956 0.149341i
\(95\) −5.07158 1.84591i −0.520333 0.189386i
\(96\) −0.642788 + 1.76604i −0.0656042 + 0.180246i
\(97\) 5.08812 + 2.93763i 0.516620 + 0.298271i 0.735551 0.677470i \(-0.236923\pi\)
−0.218930 + 0.975740i \(0.570257\pi\)
\(98\) 6.87228 + 1.21177i 0.694205 + 0.122407i
\(99\) 1.96114 1.64560i 0.197102 0.165389i
\(100\) 2.17997 + 3.77582i 0.217997 + 0.377582i
\(101\) −8.50866 + 14.7374i −0.846643 + 1.46643i 0.0375439 + 0.999295i \(0.488047\pi\)
−0.884187 + 0.467134i \(0.845287\pi\)
\(102\) 1.13924 + 6.46093i 0.112801 + 0.639727i
\(103\) 11.0391 6.37342i 1.08771 0.627992i 0.154747 0.987954i \(-0.450544\pi\)
0.932967 + 0.359962i \(0.117210\pi\)
\(104\) 1.83069 0.666317i 0.179514 0.0653377i
\(105\) 0.221529i 0.0216190i
\(106\) −3.72440 10.2327i −0.361746 0.993889i
\(107\) 2.47252 14.0223i 0.239027 1.35559i −0.594937 0.803773i \(-0.702823\pi\)
0.833964 0.551819i \(-0.186066\pi\)
\(108\) 3.55303 + 2.98135i 0.341891 + 0.286880i
\(109\) −12.7198 15.1589i −1.21834 1.45196i −0.853664 0.520823i \(-0.825625\pi\)
−0.364674 0.931135i \(-0.618819\pi\)
\(110\) −3.84930 −0.367017
\(111\) 8.66328 + 7.45888i 0.822282 + 0.707966i
\(112\) 0.147334 0.0139218
\(113\) 5.46470 + 6.51257i 0.514075 + 0.612651i 0.959169 0.282833i \(-0.0912741\pi\)
−0.445094 + 0.895484i \(0.646830\pi\)
\(114\) 9.71218 + 8.14949i 0.909629 + 0.763270i
\(115\) 0.580084 3.28982i 0.0540931 0.306777i
\(116\) 1.03920 + 2.85517i 0.0964871 + 0.265096i
\(117\) 1.03660i 0.0958342i
\(118\) 8.14816 2.96569i 0.750099 0.273014i
\(119\) 0.445413 0.257159i 0.0408309 0.0235737i
\(120\) 0.261094 + 1.48074i 0.0238345 + 0.135172i
\(121\) −6.07478 + 10.5218i −0.552252 + 0.956529i
\(122\) 0.175844 + 0.304570i 0.0159201 + 0.0275745i
\(123\) 5.61144 4.70855i 0.505966 0.424556i
\(124\) −8.01378 1.41305i −0.719659 0.126895i
\(125\) 6.48506 + 3.74415i 0.580042 + 0.334887i
\(126\) −0.0268127 + 0.0736672i −0.00238866 + 0.00656280i
\(127\) −5.19901 1.89229i −0.461338 0.167913i 0.100887 0.994898i \(-0.467832\pi\)
−0.562224 + 0.826985i \(0.690054\pi\)
\(128\) −0.984808 + 0.173648i −0.0870455 + 0.0153485i
\(129\) 9.79547 11.6738i 0.862443 1.02782i
\(130\) 1.00186 1.19397i 0.0878690 0.104718i
\(131\) 0.810446 0.142903i 0.0708090 0.0124855i −0.138131 0.990414i \(-0.544110\pi\)
0.208940 + 0.977928i \(0.432999\pi\)
\(132\) 8.49714 + 3.09271i 0.739581 + 0.269186i
\(133\) 0.339941 0.933979i 0.0294766 0.0809863i
\(134\) 2.07795 + 1.19971i 0.179508 + 0.103639i
\(135\) 3.65433 + 0.644357i 0.314514 + 0.0554574i
\(136\) −2.67412 + 2.24386i −0.229304 + 0.192409i
\(137\) −3.37116 5.83902i −0.288018 0.498861i 0.685319 0.728243i \(-0.259663\pi\)
−0.973336 + 0.229382i \(0.926329\pi\)
\(138\) −3.92370 + 6.79605i −0.334007 + 0.578518i
\(139\) −2.08444 11.8214i −0.176800 1.00268i −0.936046 0.351878i \(-0.885543\pi\)
0.759246 0.650804i \(-0.225568\pi\)
\(140\) 0.102081 0.0589366i 0.00862743 0.00498105i
\(141\) −14.7257 + 5.35970i −1.24012 + 0.451368i
\(142\) 6.98332i 0.586027i
\(143\) −3.20592 8.80818i −0.268092 0.736577i
\(144\) 0.0923963 0.524005i 0.00769969 0.0436671i
\(145\) 1.86213 + 1.56252i 0.154642 + 0.129760i
\(146\) −0.728915 0.868687i −0.0603254 0.0718930i
\(147\) −13.1149 −1.08170
\(148\) −1.13226 + 5.97645i −0.0930708 + 0.491261i
\(149\) −9.21354 −0.754803 −0.377401 0.926050i \(-0.623182\pi\)
−0.377401 + 0.926050i \(0.623182\pi\)
\(150\) −5.26700 6.27697i −0.430049 0.512513i
\(151\) 9.02729 + 7.57480i 0.734631 + 0.616428i 0.931390 0.364023i \(-0.118597\pi\)
−0.196759 + 0.980452i \(0.563042\pi\)
\(152\) −1.17143 + 6.64352i −0.0950157 + 0.538861i
\(153\) −0.635278 1.74541i −0.0513591 0.141108i
\(154\) 0.708885i 0.0571235i
\(155\) −6.11762 + 2.22663i −0.491379 + 0.178847i
\(156\) −3.17085 + 1.83069i −0.253871 + 0.146573i
\(157\) −3.01657 17.1078i −0.240749 1.36535i −0.830162 0.557522i \(-0.811752\pi\)
0.589414 0.807831i \(-0.299359\pi\)
\(158\) 0.945134 1.63702i 0.0751908 0.130234i
\(159\) 10.2327 + 17.7236i 0.811507 + 1.40557i
\(160\) −0.612865 + 0.514255i −0.0484512 + 0.0406554i
\(161\) 0.605851 + 0.106828i 0.0477477 + 0.00841921i
\(162\) −8.93145 5.15657i −0.701721 0.405139i
\(163\) 0.773358 2.12478i 0.0605741 0.166426i −0.905714 0.423889i \(-0.860665\pi\)
0.966288 + 0.257464i \(0.0828867\pi\)
\(164\) 3.66260 + 1.33308i 0.286001 + 0.104096i
\(165\) 7.12442 1.25623i 0.554635 0.0977971i
\(166\) −6.36675 + 7.58759i −0.494155 + 0.588912i
\(167\) −10.2563 + 12.2230i −0.793658 + 0.945845i −0.999464 0.0327478i \(-0.989574\pi\)
0.205805 + 0.978593i \(0.434019\pi\)
\(168\) −0.272691 + 0.0480829i −0.0210386 + 0.00370967i
\(169\) −8.64949 3.14816i −0.665345 0.242166i
\(170\) −0.955190 + 2.62436i −0.0732598 + 0.201280i
\(171\) −3.10858 1.79474i −0.237719 0.137247i
\(172\) 7.98534 + 1.40803i 0.608876 + 0.107361i
\(173\) −2.35572 + 1.97668i −0.179102 + 0.150284i −0.727931 0.685650i \(-0.759518\pi\)
0.548829 + 0.835934i \(0.315074\pi\)
\(174\) −2.85517 4.94530i −0.216450 0.374902i
\(175\) −0.321185 + 0.556308i −0.0242793 + 0.0420529i
\(176\) 0.835490 + 4.73830i 0.0629775 + 0.357163i
\(177\) −14.1130 + 8.14816i −1.06080 + 0.612454i
\(178\) 9.50418 3.45924i 0.712368 0.259281i
\(179\) 10.4466i 0.780819i −0.920641 0.390410i \(-0.872333\pi\)
0.920641 0.390410i \(-0.127667\pi\)
\(180\) −0.145595 0.400019i −0.0108520 0.0298157i
\(181\) 1.56392 8.86942i 0.116245 0.659259i −0.869881 0.493262i \(-0.835805\pi\)
0.986126 0.165997i \(-0.0530843\pi\)
\(182\) 0.219881 + 0.184502i 0.0162986 + 0.0136762i
\(183\) −0.424854 0.506321i −0.0314061 0.0374284i
\(184\) −4.17551 −0.307823
\(185\) 1.60621 + 4.59373i 0.118091 + 0.337738i
\(186\) 15.2933 1.12136
\(187\) 10.7961 + 12.8663i 0.789488 + 0.940875i
\(188\) −6.38745 5.35970i −0.465852 0.390897i
\(189\) −0.118664 + 0.672978i −0.00863155 + 0.0489520i
\(190\) 1.84591 + 5.07158i 0.133916 + 0.367931i
\(191\) 1.00551i 0.0727558i −0.999338 0.0363779i \(-0.988418\pi\)
0.999338 0.0363779i \(-0.0115820\pi\)
\(192\) 1.76604 0.642788i 0.127453 0.0463892i
\(193\) −9.52217 + 5.49763i −0.685421 + 0.395728i −0.801894 0.597466i \(-0.796174\pi\)
0.116473 + 0.993194i \(0.462841\pi\)
\(194\) −1.02023 5.78600i −0.0732481 0.415410i
\(195\) −1.46462 + 2.53680i −0.104884 + 0.181664i
\(196\) −3.48915 6.04338i −0.249225 0.431670i
\(197\) 19.8444 16.6514i 1.41386 1.18637i 0.459319 0.888271i \(-0.348094\pi\)
0.954537 0.298094i \(-0.0963509\pi\)
\(198\) −2.52120 0.444555i −0.179174 0.0315932i
\(199\) −13.4873 7.78692i −0.956092 0.552000i −0.0611237 0.998130i \(-0.519468\pi\)
−0.894968 + 0.446130i \(0.852802\pi\)
\(200\) 1.49119 4.09700i 0.105443 0.289702i
\(201\) −4.23747 1.54231i −0.298888 0.108786i
\(202\) 16.7588 2.95503i 1.17914 0.207915i
\(203\) −0.287752 + 0.342929i −0.0201962 + 0.0240689i
\(204\) 4.21707 5.02571i 0.295254 0.351870i
\(205\) 3.07090 0.541483i 0.214481 0.0378188i
\(206\) −11.9781 4.35968i −0.834555 0.303753i
\(207\) 0.759881 2.08776i 0.0528154 0.145109i
\(208\) −1.68717 0.974090i −0.116984 0.0675410i
\(209\) 31.9646 + 5.63623i 2.21104 + 0.389866i
\(210\) −0.169701 + 0.142396i −0.0117105 + 0.00982627i
\(211\) 11.5871 + 20.0694i 0.797688 + 1.38164i 0.921118 + 0.389283i \(0.127277\pi\)
−0.123430 + 0.992353i \(0.539390\pi\)
\(212\) −5.44471 + 9.43052i −0.373944 + 0.647691i
\(213\) 2.27902 + 12.9250i 0.156156 + 0.885603i
\(214\) −12.3310 + 7.11933i −0.842933 + 0.486667i
\(215\) 6.09591 2.21873i 0.415737 0.151316i
\(216\) 4.63816i 0.315587i
\(217\) −0.410055 1.12662i −0.0278363 0.0764797i
\(218\) −3.43624 + 19.4879i −0.232732 + 1.31989i
\(219\) 1.63260 + 1.36991i 0.110321 + 0.0925701i
\(220\) 2.47428 + 2.94874i 0.166816 + 0.198804i
\(221\) −6.80075 −0.457468
\(222\) 0.145189 11.4309i 0.00974445 0.767194i
\(223\) 9.91195 0.663754 0.331877 0.943323i \(-0.392318\pi\)
0.331877 + 0.943323i \(0.392318\pi\)
\(224\) −0.0947047 0.112865i −0.00632773 0.00754109i
\(225\) 1.77713 + 1.49119i 0.118475 + 0.0994125i
\(226\) 1.47628 8.37240i 0.0982007 0.556924i
\(227\) −0.684171 1.87974i −0.0454100 0.124763i 0.914915 0.403647i \(-0.132258\pi\)
−0.960325 + 0.278884i \(0.910035\pi\)
\(228\) 12.6784i 0.839645i
\(229\) 8.40320 3.05851i 0.555299 0.202112i −0.0491004 0.998794i \(-0.515635\pi\)
0.604399 + 0.796682i \(0.293413\pi\)
\(230\) −2.89302 + 1.67028i −0.190760 + 0.110135i
\(231\) 0.231346 + 1.31203i 0.0152214 + 0.0863250i
\(232\) 1.51921 2.63134i 0.0997407 0.172756i
\(233\) 10.8675 + 18.8230i 0.711952 + 1.23314i 0.964123 + 0.265455i \(0.0855221\pi\)
−0.252171 + 0.967683i \(0.581145\pi\)
\(234\) 0.794085 0.666317i 0.0519110 0.0435585i
\(235\) −6.56955 1.15839i −0.428550 0.0755649i
\(236\) −7.50939 4.33555i −0.488820 0.282220i
\(237\) −1.21504 + 3.33830i −0.0789254 + 0.216846i
\(238\) −0.483301 0.175907i −0.0313278 0.0114024i
\(239\) −7.79702 + 1.37482i −0.504347 + 0.0889300i −0.420032 0.907509i \(-0.637981\pi\)
−0.0843148 + 0.996439i \(0.526870\pi\)
\(240\) 0.966482 1.15181i 0.0623862 0.0743489i
\(241\) 19.1413 22.8117i 1.23300 1.46943i 0.399665 0.916661i \(-0.369127\pi\)
0.833334 0.552769i \(-0.186429\pi\)
\(242\) 11.9650 2.10975i 0.769137 0.135620i
\(243\) 5.13816 + 1.87014i 0.329613 + 0.119969i
\(244\) 0.120284 0.330478i 0.00770040 0.0211567i
\(245\) −4.83493 2.79145i −0.308893 0.178339i
\(246\) −7.21392 1.27201i −0.459943 0.0811003i
\(247\) −10.0677 + 8.44780i −0.640592 + 0.537521i
\(248\) 4.06870 + 7.04720i 0.258363 + 0.447498i
\(249\) 9.30756 16.1212i 0.589843 1.02164i
\(250\) −1.30033 7.37454i −0.0822402 0.466407i
\(251\) 19.7765 11.4180i 1.24828 0.720695i 0.277514 0.960721i \(-0.410489\pi\)
0.970766 + 0.240026i \(0.0771560\pi\)
\(252\) 0.0736672 0.0268127i 0.00464060 0.00168904i
\(253\) 20.0901i 1.26305i
\(254\) 1.89229 + 5.19901i 0.118733 + 0.326215i
\(255\) 0.911432 5.16899i 0.0570761 0.323695i
\(256\) 0.766044 + 0.642788i 0.0478778 + 0.0401742i
\(257\) −10.5496 12.5726i −0.658068 0.784255i 0.329039 0.944316i \(-0.393275\pi\)
−0.987107 + 0.160062i \(0.948831\pi\)
\(258\) −15.2390 −0.948741
\(259\) −0.845978 + 0.295798i −0.0525665 + 0.0183800i
\(260\) −1.55862 −0.0966614
\(261\) 1.03920 + 1.23847i 0.0643247 + 0.0766592i
\(262\) −0.630415 0.528981i −0.0389472 0.0326806i
\(263\) 0.270840 1.53601i 0.0167007 0.0947145i −0.975318 0.220805i \(-0.929132\pi\)
0.992019 + 0.126090i \(0.0402428\pi\)
\(264\) −3.09271 8.49714i −0.190343 0.522963i
\(265\) 8.71195i 0.535171i
\(266\) −0.933979 + 0.339941i −0.0572659 + 0.0208431i
\(267\) −16.4617 + 9.50418i −1.00744 + 0.581646i
\(268\) −0.416654 2.36296i −0.0254512 0.144341i
\(269\) −1.64927 + 2.85662i −0.100558 + 0.174171i −0.911915 0.410380i \(-0.865396\pi\)
0.811357 + 0.584551i \(0.198729\pi\)
\(270\) −1.85535 3.21356i −0.112913 0.195571i
\(271\) 2.76033 2.31620i 0.167678 0.140699i −0.555087 0.831792i \(-0.687315\pi\)
0.722766 + 0.691093i \(0.242871\pi\)
\(272\) 3.43779 + 0.606175i 0.208447 + 0.0367547i
\(273\) −0.467175 0.269724i −0.0282747 0.0163244i
\(274\) −2.30601 + 6.33571i −0.139311 + 0.382754i
\(275\) −19.7123 7.17469i −1.18870 0.432650i
\(276\) 7.72818 1.36269i 0.465182 0.0820241i
\(277\) −10.0841 + 12.0177i −0.605894 + 0.722076i −0.978577 0.205883i \(-0.933993\pi\)
0.372683 + 0.927959i \(0.378438\pi\)
\(278\) −7.71590 + 9.19545i −0.462769 + 0.551506i
\(279\) −4.26404 + 0.751866i −0.255282 + 0.0450130i
\(280\) −0.110765 0.0403150i −0.00661945 0.00240928i
\(281\) −1.74041 + 4.78173i −0.103824 + 0.285254i −0.980718 0.195431i \(-0.937390\pi\)
0.876894 + 0.480684i \(0.159612\pi\)
\(282\) 13.5712 + 7.83536i 0.808156 + 0.466589i
\(283\) −9.02521 1.59139i −0.536493 0.0945982i −0.101164 0.994870i \(-0.532257\pi\)
−0.435329 + 0.900272i \(0.643368\pi\)
\(284\) −5.34953 + 4.48879i −0.317436 + 0.266361i
\(285\) −5.07158 8.78424i −0.300415 0.520333i
\(286\) −4.68673 + 8.11766i −0.277132 + 0.480007i
\(287\) 0.0997192 + 0.565536i 0.00588624 + 0.0333825i
\(288\) −0.460802 + 0.266044i −0.0271530 + 0.0156768i
\(289\) −4.52384 + 1.64654i −0.266108 + 0.0968554i
\(290\) 2.43084i 0.142744i
\(291\) 3.77654 + 10.3760i 0.221385 + 0.608250i
\(292\) −0.196915 + 1.11676i −0.0115236 + 0.0653536i
\(293\) −19.3966 16.2757i −1.13316 0.950838i −0.133970 0.990985i \(-0.542773\pi\)
−0.999194 + 0.0401477i \(0.987217\pi\)
\(294\) 8.43010 + 10.0466i 0.491653 + 0.585929i
\(295\) −6.93721 −0.403900
\(296\) 5.30603 2.97423i 0.308407 0.172874i
\(297\) −22.3160 −1.29491
\(298\) 5.92235 + 7.05798i 0.343073 + 0.408858i
\(299\) −6.23150 5.22885i −0.360377 0.302392i
\(300\) −1.42287 + 8.06952i −0.0821497 + 0.465894i
\(301\) 0.408599 + 1.12262i 0.0235513 + 0.0647066i
\(302\) 11.7843i 0.678110i
\(303\) −30.0533 + 10.9385i −1.72652 + 0.628401i
\(304\) 5.84222 3.37301i 0.335074 0.193455i
\(305\) −0.0488582 0.277089i −0.00279761 0.0158660i
\(306\) −0.928714 + 1.60858i −0.0530910 + 0.0919563i
\(307\) 4.35284 + 7.53934i 0.248430 + 0.430293i 0.963090 0.269178i \(-0.0867521\pi\)
−0.714661 + 0.699471i \(0.753419\pi\)
\(308\) −0.543037 + 0.455662i −0.0309424 + 0.0259638i
\(309\) 23.5923 + 4.15996i 1.34212 + 0.236652i
\(310\) 5.63803 + 3.25512i 0.320218 + 0.184878i
\(311\) 1.98686 5.45885i 0.112664 0.309543i −0.870527 0.492121i \(-0.836222\pi\)
0.983191 + 0.182578i \(0.0584441\pi\)
\(312\) 3.44057 + 1.25227i 0.194784 + 0.0708956i
\(313\) −7.74595 + 1.36582i −0.437827 + 0.0772007i −0.388217 0.921568i \(-0.626909\pi\)
−0.0496099 + 0.998769i \(0.515798\pi\)
\(314\) −11.1663 + 13.3075i −0.630153 + 0.750987i
\(315\) 0.0403150 0.0480455i 0.00227149 0.00270706i
\(316\) −1.86155 + 0.328242i −0.104720 + 0.0184650i
\(317\) 5.26133 + 1.91497i 0.295506 + 0.107555i 0.485519 0.874226i \(-0.338631\pi\)
−0.190013 + 0.981782i \(0.560853\pi\)
\(318\) 6.99959 19.2312i 0.392517 1.07843i
\(319\) −12.6604 7.30950i −0.708848 0.409253i
\(320\) 0.787884 + 0.138925i 0.0440440 + 0.00776615i
\(321\) 20.4993 17.2010i 1.14416 0.960064i
\(322\) −0.307598 0.532776i −0.0171418 0.0296905i
\(323\) 11.7746 20.3941i 0.655154 1.13476i
\(324\) 1.79086 + 10.1565i 0.0994922 + 0.564248i
\(325\) 7.35597 4.24697i 0.408036 0.235580i
\(326\) −2.12478 + 0.773358i −0.117681 + 0.0428323i
\(327\) 37.1903i 2.05663i
\(328\) −1.33308 3.66260i −0.0736070 0.202234i
\(329\) 0.213328 1.20984i 0.0117612 0.0667008i
\(330\) −5.54181 4.65013i −0.305067 0.255981i
\(331\) −11.6926 13.9348i −0.642686 0.765923i 0.342106 0.939661i \(-0.388860\pi\)
−0.984792 + 0.173738i \(0.944415\pi\)
\(332\) 9.90490 0.543602
\(333\) 0.521498 + 3.19428i 0.0285779 + 0.175045i
\(334\) 15.9560 0.873074
\(335\) −1.23391 1.47052i −0.0674156 0.0803428i
\(336\) 0.212116 + 0.177987i 0.0115719 + 0.00970997i
\(337\) −5.73735 + 32.5381i −0.312533 + 1.77246i 0.273198 + 0.961958i \(0.411919\pi\)
−0.585731 + 0.810505i \(0.699193\pi\)
\(338\) 3.14816 + 8.64949i 0.171237 + 0.470470i
\(339\) 15.9777i 0.867790i
\(340\) 2.62436 0.955190i 0.142326 0.0518025i
\(341\) 33.9069 19.5761i 1.83616 1.06011i
\(342\) 0.623306 + 3.53495i 0.0337045 + 0.191148i
\(343\) 1.02974 1.78357i 0.0556008 0.0963035i
\(344\) −4.05426 7.02219i −0.218591 0.378611i
\(345\) 4.80939 4.03556i 0.258929 0.217267i
\(346\) 3.02845 + 0.533998i 0.162811 + 0.0287079i
\(347\) 27.9743 + 16.1510i 1.50174 + 0.867029i 0.999998 + 0.00201032i \(0.000639905\pi\)
0.501740 + 0.865018i \(0.332693\pi\)
\(348\) −1.95305 + 5.36597i −0.104695 + 0.287646i
\(349\) −2.14851 0.781994i −0.115007 0.0418592i 0.283876 0.958861i \(-0.408380\pi\)
−0.398883 + 0.917002i \(0.630602\pi\)
\(350\) 0.632610 0.111546i 0.0338144 0.00596240i
\(351\) 5.80820 6.92195i 0.310019 0.369466i
\(352\) 3.09271 3.68574i 0.164842 0.196451i
\(353\) 6.32439 1.11516i 0.336613 0.0593540i −0.00278690 0.999996i \(-0.500887\pi\)
0.339400 + 0.940642i \(0.389776\pi\)
\(354\) 15.3135 + 5.57367i 0.813905 + 0.296237i
\(355\) −1.91084 + 5.24999i −0.101417 + 0.278640i
\(356\) −8.75910 5.05707i −0.464231 0.268024i
\(357\) 0.951917 + 0.167849i 0.0503808 + 0.00888349i
\(358\) −8.00260 + 6.71498i −0.422950 + 0.354898i
\(359\) 3.66122 + 6.34142i 0.193232 + 0.334687i 0.946319 0.323233i \(-0.104770\pi\)
−0.753088 + 0.657920i \(0.771436\pi\)
\(360\) −0.212846 + 0.368660i −0.0112180 + 0.0194301i
\(361\) −4.60318 26.1060i −0.242273 1.37400i
\(362\) −7.79964 + 4.50312i −0.409940 + 0.236679i
\(363\) −21.4566 + 7.80958i −1.12618 + 0.409897i
\(364\) 0.287034i 0.0150447i
\(365\) 0.310293 + 0.852522i 0.0162415 + 0.0446231i
\(366\) −0.114774 + 0.650914i −0.00599932 + 0.0340238i
\(367\) 24.1722 + 20.2829i 1.26178 + 1.05876i 0.995490 + 0.0948646i \(0.0302418\pi\)
0.266288 + 0.963893i \(0.414203\pi\)
\(368\) 2.68397 + 3.19863i 0.139912 + 0.166740i
\(369\) 2.07390 0.107963
\(370\) 2.48655 4.18322i 0.129270 0.217475i
\(371\) −1.60439 −0.0832956
\(372\) −9.83035 11.7154i −0.509680 0.607413i
\(373\) −6.41137 5.37977i −0.331968 0.278554i 0.461533 0.887123i \(-0.347300\pi\)
−0.793501 + 0.608569i \(0.791744\pi\)
\(374\) 2.91655 16.5406i 0.150811 0.855292i
\(375\) 4.81339 + 13.2247i 0.248562 + 0.682920i
\(376\) 8.33822i 0.430011i
\(377\) 5.56239 2.02454i 0.286478 0.104269i
\(378\) 0.591807 0.341680i 0.0304393 0.0175741i
\(379\) 4.89452 + 27.7582i 0.251415 + 1.42584i 0.805111 + 0.593124i \(0.202106\pi\)
−0.553696 + 0.832719i \(0.686783\pi\)
\(380\) 2.69853 4.67400i 0.138432 0.239771i
\(381\) −5.19901 9.00496i −0.266354 0.461338i
\(382\) −0.770262 + 0.646327i −0.0394100 + 0.0330689i
\(383\) −8.95650 1.57927i −0.457656 0.0806970i −0.0599323 0.998202i \(-0.519088\pi\)
−0.397723 + 0.917505i \(0.630200\pi\)
\(384\) −1.62760 0.939693i −0.0830579 0.0479535i
\(385\) −0.193971 + 0.532932i −0.00988570 + 0.0271607i
\(386\) 10.3322 + 3.76060i 0.525893 + 0.191409i
\(387\) 4.24891 0.749197i 0.215984 0.0380838i
\(388\) −3.77654 + 4.50071i −0.191725 + 0.228489i
\(389\) −1.28903 + 1.53620i −0.0653563 + 0.0778886i −0.797732 0.603012i \(-0.793967\pi\)
0.732376 + 0.680901i \(0.238411\pi\)
\(390\) 2.88474 0.508658i 0.146075 0.0257569i
\(391\) 13.6969 + 4.98528i 0.692684 + 0.252116i
\(392\) −2.38672 + 6.55745i −0.120547 + 0.331201i
\(393\) 1.33943 + 0.773318i 0.0675651 + 0.0390088i
\(394\) −25.5115 4.49836i −1.28525 0.226624i
\(395\) −1.15848 + 0.972079i −0.0582894 + 0.0489106i
\(396\) 1.28005 + 2.21710i 0.0643247 + 0.111414i
\(397\) −9.53782 + 16.5200i −0.478690 + 0.829115i −0.999701 0.0244346i \(-0.992221\pi\)
0.521012 + 0.853550i \(0.325555\pi\)
\(398\) 2.70437 + 15.3372i 0.135558 + 0.768786i
\(399\) 1.61770 0.933979i 0.0809863 0.0467574i
\(400\) −4.09700 + 1.49119i −0.204850 + 0.0745593i
\(401\) 24.7444i 1.23568i 0.786305 + 0.617839i \(0.211992\pi\)
−0.786305 + 0.617839i \(0.788008\pi\)
\(402\) 1.54231 + 4.23747i 0.0769236 + 0.211346i
\(403\) −2.75287 + 15.6123i −0.137130 + 0.777703i
\(404\) −13.0360 10.9385i −0.648566 0.544212i
\(405\) 5.30358 + 6.32056i 0.263537 + 0.314071i
\(406\) 0.447662 0.0222171
\(407\) −14.3102 25.5294i −0.709331 1.26545i
\(408\) −6.56060 −0.324798
\(409\) −15.8423 18.8801i −0.783350 0.933560i 0.215729 0.976453i \(-0.430787\pi\)
−0.999080 + 0.0428927i \(0.986343\pi\)
\(410\) −2.38874 2.00439i −0.117971 0.0989898i
\(411\) 2.20037 12.4789i 0.108536 0.615539i
\(412\) 4.35968 + 11.9781i 0.214786 + 0.590120i
\(413\) 1.27755i 0.0628642i
\(414\) −2.08776 + 0.759881i −0.102608 + 0.0373461i
\(415\) 6.86264 3.96215i 0.336874 0.194494i
\(416\) 0.338298 + 1.91858i 0.0165864 + 0.0940663i
\(417\) 11.2799 19.5373i 0.552379 0.956748i
\(418\) −16.2289 28.1092i −0.793780 1.37487i
\(419\) −14.0011 + 11.7483i −0.683997 + 0.573942i −0.917171 0.398493i \(-0.869533\pi\)
0.233174 + 0.972435i \(0.425089\pi\)
\(420\) 0.218164 + 0.0384681i 0.0106453 + 0.00187705i
\(421\) 32.5605 + 18.7988i 1.58690 + 0.916198i 0.993814 + 0.111060i \(0.0354245\pi\)
0.593087 + 0.805138i \(0.297909\pi\)
\(422\) 7.92603 21.7766i 0.385833 1.06007i
\(423\) −4.16911 1.51743i −0.202709 0.0737801i
\(424\) 10.7240 1.89093i 0.520803 0.0918316i
\(425\) −9.78308 + 11.6590i −0.474549 + 0.565545i
\(426\) 8.43617 10.0538i 0.408734 0.487110i
\(427\) 0.0510284 0.00899769i 0.00246944 0.000435429i
\(428\) 13.3800 + 4.86991i 0.646745 + 0.235396i
\(429\) 6.02515 16.5540i 0.290897 0.799233i
\(430\) −5.61802 3.24356i −0.270925 0.156419i
\(431\) −36.3170 6.40367i −1.74933 0.308454i −0.794867 0.606784i \(-0.792459\pi\)
−0.954463 + 0.298330i \(0.903570\pi\)
\(432\) −3.55303 + 2.98135i −0.170945 + 0.143440i
\(433\) −5.44689 9.43429i −0.261761 0.453383i 0.704949 0.709258i \(-0.250970\pi\)
−0.966710 + 0.255875i \(0.917637\pi\)
\(434\) −0.599460 + 1.03829i −0.0287750 + 0.0498398i
\(435\) 0.793310 + 4.49909i 0.0380363 + 0.215715i
\(436\) 17.1374 9.89427i 0.820731 0.473849i
\(437\) 26.4693 9.63404i 1.26620 0.460859i
\(438\) 2.13120i 0.101833i
\(439\) 6.39195 + 17.5617i 0.305071 + 0.838176i 0.993599 + 0.112966i \(0.0360351\pi\)
−0.688528 + 0.725210i \(0.741743\pi\)
\(440\) 0.668424 3.79082i 0.0318659 0.180720i
\(441\) −2.84438 2.38672i −0.135447 0.113653i
\(442\) 4.37144 + 5.20968i 0.207928 + 0.247799i
\(443\) 18.1659 0.863090 0.431545 0.902092i \(-0.357969\pi\)
0.431545 + 0.902092i \(0.357969\pi\)
\(444\) −8.84993 + 7.23644i −0.419999 + 0.343426i
\(445\) −8.09170 −0.383583
\(446\) −6.37128 7.59300i −0.301689 0.359539i
\(447\) −13.2647 11.1304i −0.627397 0.526449i
\(448\) −0.0255844 + 0.145096i −0.00120875 + 0.00685515i
\(449\) −5.32504 14.6304i −0.251304 0.690453i −0.999632 0.0271236i \(-0.991365\pi\)
0.748328 0.663329i \(-0.230857\pi\)
\(450\) 2.31988i 0.109360i
\(451\) −17.6222 + 6.41397i −0.829799 + 0.302022i
\(452\) −7.36257 + 4.25078i −0.346306 + 0.199940i
\(453\) 3.84583 + 21.8108i 0.180693 + 1.02476i
\(454\) −1.00019 + 1.73238i −0.0469413 + 0.0813047i
\(455\) −0.114819 0.198872i −0.00538280 0.00932328i
\(456\) −9.71218 + 8.14949i −0.454815 + 0.381635i
\(457\) −10.8568 1.91434i −0.507858 0.0895491i −0.0861526 0.996282i \(-0.527457\pi\)
−0.421705 + 0.906733i \(0.638568\pi\)
\(458\) −7.74443 4.47125i −0.361873 0.208928i
\(459\) −5.53764 + 15.2145i −0.258475 + 0.710154i
\(460\) 3.13911 + 1.14254i 0.146362 + 0.0532713i
\(461\) −21.0232 + 3.70696i −0.979148 + 0.172650i −0.640245 0.768171i \(-0.721167\pi\)
−0.338903 + 0.940821i \(0.610056\pi\)
\(462\) 0.856365 1.02058i 0.0398417 0.0474815i
\(463\) 21.3348 25.4258i 0.991512 1.18164i 0.00815253 0.999967i \(-0.497405\pi\)
0.983359 0.181671i \(-0.0581506\pi\)
\(464\) −2.99225 + 0.527614i −0.138912 + 0.0244939i
\(465\) −11.4974 4.18470i −0.533177 0.194061i
\(466\) 7.43379 20.4242i 0.344364 0.946132i
\(467\) 12.8279 + 7.40621i 0.593606 + 0.342719i 0.766522 0.642218i \(-0.221986\pi\)
−0.172916 + 0.984937i \(0.555319\pi\)
\(468\) −1.02086 0.180005i −0.0471891 0.00832071i
\(469\) 0.270809 0.227236i 0.0125048 0.0104928i
\(470\) 3.33545 + 5.77716i 0.153853 + 0.266481i
\(471\) 16.3241 28.2742i 0.752175 1.30281i
\(472\) 1.50572 + 8.53936i 0.0693064 + 0.393056i
\(473\) −33.7865 + 19.5067i −1.55351 + 0.896917i
\(474\) 3.33830 1.21504i 0.153333 0.0558087i
\(475\) 29.4122i 1.34952i
\(476\) 0.175907 + 0.483301i 0.00806269 + 0.0221521i
\(477\) −1.00614 + 5.70611i −0.0460681 + 0.261265i
\(478\) 6.06500 + 5.08914i 0.277407 + 0.232772i
\(479\) 5.78865 + 6.89864i 0.264490 + 0.315207i 0.881902 0.471433i \(-0.156263\pi\)
−0.617412 + 0.786640i \(0.711819\pi\)
\(480\) −1.50358 −0.0686287
\(481\) 11.6432 + 2.20584i 0.530885 + 0.100578i
\(482\) −29.7786 −1.35638
\(483\) 0.743186 + 0.885694i 0.0338161 + 0.0403005i
\(484\) −9.30710 7.80958i −0.423050 0.354981i
\(485\) −0.816221 + 4.62902i −0.0370627 + 0.210193i
\(486\) −1.87014 5.13816i −0.0848311 0.233071i
\(487\) 3.39198i 0.153705i 0.997042 + 0.0768525i \(0.0244871\pi\)
−0.997042 + 0.0768525i \(0.975513\pi\)
\(488\) −0.330478 + 0.120284i −0.0149600 + 0.00544500i
\(489\) 3.68023 2.12478i 0.166426 0.0960860i
\(490\) 0.969460 + 5.49808i 0.0437958 + 0.248378i
\(491\) 10.3671 17.9564i 0.467862 0.810361i −0.531463 0.847081i \(-0.678358\pi\)
0.999326 + 0.0367202i \(0.0116910\pi\)
\(492\) 3.66260 + 6.34382i 0.165123 + 0.286001i
\(493\) −8.12509 + 6.81776i −0.365935 + 0.307056i
\(494\) 12.9428 + 2.28216i 0.582323 + 0.102679i
\(495\) 1.77377 + 1.02409i 0.0797249 + 0.0460292i
\(496\) 2.78316 7.64666i 0.124967 0.343345i
\(497\) −0.966834 0.351899i −0.0433684 0.0157848i
\(498\) −18.3323 + 3.23248i −0.821491 + 0.144851i
\(499\) 15.8653 18.9076i 0.710229 0.846418i −0.283413 0.958998i \(-0.591467\pi\)
0.993643 + 0.112579i \(0.0359113\pi\)
\(500\) −4.81339 + 5.73638i −0.215261 + 0.256539i
\(501\) −29.5319 + 5.20727i −1.31939 + 0.232644i
\(502\) −21.4587 7.81034i −0.957751 0.348593i
\(503\) −5.69356 + 15.6429i −0.253863 + 0.697484i 0.745651 + 0.666336i \(0.232138\pi\)
−0.999515 + 0.0311477i \(0.990084\pi\)
\(504\) −0.0678921 0.0391975i −0.00302415 0.00174600i
\(505\) −13.4077 2.36413i −0.596633 0.105203i
\(506\) 15.3899 12.9136i 0.684163 0.574081i
\(507\) −8.64949 14.9814i −0.384137 0.665345i
\(508\) 2.76634 4.79144i 0.122736 0.212586i
\(509\) 4.36442 + 24.7519i 0.193450 + 1.09711i 0.914609 + 0.404339i \(0.132498\pi\)
−0.721160 + 0.692769i \(0.756391\pi\)
\(510\) −4.54553 + 2.62436i −0.201280 + 0.116209i
\(511\) −0.157000 + 0.0571433i −0.00694527 + 0.00252787i
\(512\) 1.00000i 0.0441942i
\(513\) 10.7015 + 29.4021i 0.472482 + 1.29813i
\(514\) −2.84997 + 16.1630i −0.125707 + 0.712918i
\(515\) 7.81209 + 6.55513i 0.344242 + 0.288853i
\(516\) 9.79547 + 11.6738i 0.431221 + 0.513910i
\(517\) 40.1185 1.76441
\(518\) 0.770379 + 0.457921i 0.0338485 + 0.0201199i
\(519\) −5.77943 −0.253689
\(520\) 1.00186 + 1.19397i 0.0439345 + 0.0523591i
\(521\) −22.0872 18.5334i −0.967659 0.811962i 0.0145232 0.999895i \(-0.495377\pi\)
−0.982182 + 0.187932i \(0.939821\pi\)
\(522\) 0.280738 1.59214i 0.0122876 0.0696862i
\(523\) 1.23619 + 3.39641i 0.0540548 + 0.148514i 0.963781 0.266693i \(-0.0859311\pi\)
−0.909727 + 0.415208i \(0.863709\pi\)
\(524\) 0.822948i 0.0359507i
\(525\) −1.13445 + 0.412907i −0.0495116 + 0.0180207i
\(526\) −1.35075 + 0.779853i −0.0588953 + 0.0340032i
\(527\) −4.93269 27.9747i −0.214871 1.21860i
\(528\) −4.52124 + 7.83101i −0.196762 + 0.340801i
\(529\) −2.78255 4.81951i −0.120980 0.209544i
\(530\) 6.67374 5.59994i 0.289889 0.243246i
\(531\) −4.54370 0.801177i −0.197180 0.0347681i
\(532\) 0.860760 + 0.496960i 0.0373187 + 0.0215459i
\(533\) 2.59708 7.13541i 0.112492 0.309069i
\(534\) 17.8620 + 6.50124i 0.772965 + 0.281336i
\(535\) 11.2184 1.97811i 0.485014 0.0855211i
\(536\) −1.54231 + 1.83806i −0.0666178 + 0.0793920i
\(537\) 12.6200 15.0400i 0.544594 0.649022i
\(538\) 3.24843 0.572786i 0.140050 0.0246946i
\(539\) 31.5505 + 11.4834i 1.35898 + 0.494627i
\(540\) −1.26913 + 3.48692i −0.0546149 + 0.150053i
\(541\) −9.89184 5.71106i −0.425284 0.245538i 0.272052 0.962283i \(-0.412298\pi\)
−0.697335 + 0.716745i \(0.745631\pi\)
\(542\) −3.54862 0.625717i −0.152426 0.0268768i
\(543\) 12.9662 10.8800i 0.556434 0.466904i
\(544\) −1.74541 3.02314i −0.0748339 0.129616i
\(545\) 7.91579 13.7106i 0.339075 0.587295i
\(546\) 0.0936741 + 0.531252i 0.00400888 + 0.0227355i
\(547\) 28.9864 16.7353i 1.23937 0.715550i 0.270404 0.962747i \(-0.412843\pi\)
0.968965 + 0.247197i \(0.0795094\pi\)
\(548\) 6.33571 2.30601i 0.270648 0.0985078i
\(549\) 0.187129i 0.00798646i
\(550\) 7.17469 + 19.7123i 0.305930 + 0.840536i
\(551\) −3.55929 + 20.1858i −0.151631 + 0.859942i
\(552\) −6.01146 5.04421i −0.255865 0.214696i
\(553\) −0.179017 0.213345i −0.00761259 0.00907234i
\(554\) 15.6880 0.666521
\(555\) −3.23699 + 8.55393i −0.137402 + 0.363094i
\(556\) 12.0038 0.509075
\(557\) 12.5025 + 14.8999i 0.529747 + 0.631328i 0.962857 0.270013i \(-0.0870280\pi\)
−0.433109 + 0.901341i \(0.642584\pi\)
\(558\) 3.31684 + 2.78316i 0.140413 + 0.117820i
\(559\) 2.74310 15.5569i 0.116021 0.657986i
\(560\) 0.0403150 + 0.110765i 0.00170362 + 0.00468066i
\(561\) 31.5656i 1.33270i
\(562\) 4.78173 1.74041i 0.201705 0.0734146i
\(563\) 16.3919 9.46387i 0.690837 0.398855i −0.113089 0.993585i \(-0.536074\pi\)
0.803925 + 0.594730i \(0.202741\pi\)
\(564\) −2.72119 15.4327i −0.114583 0.649832i
\(565\) −3.40079 + 5.89033i −0.143072 + 0.247808i
\(566\) 4.58222 + 7.93663i 0.192605 + 0.333602i
\(567\) −1.16399 + 0.976704i −0.0488830 + 0.0410177i
\(568\) 6.87722 + 1.21264i 0.288562 + 0.0508813i
\(569\) 6.71294 + 3.87572i 0.281421 + 0.162479i 0.634067 0.773278i \(-0.281384\pi\)
−0.352645 + 0.935757i \(0.614718\pi\)
\(570\) −3.46917 + 9.53146i −0.145307 + 0.399229i
\(571\) −4.66196 1.69681i −0.195097 0.0710094i 0.242624 0.970120i \(-0.421992\pi\)
−0.437721 + 0.899111i \(0.644214\pi\)
\(572\) 9.23107 1.62769i 0.385970 0.0680570i
\(573\) 1.21470 1.44762i 0.0507447 0.0604752i
\(574\) 0.369127 0.439909i 0.0154071 0.0183614i
\(575\) −17.9284 + 3.16126i −0.747666 + 0.131834i
\(576\) 0.500000 + 0.181985i 0.0208333 + 0.00758271i
\(577\) 7.21587 19.8254i 0.300401 0.825344i −0.694030 0.719946i \(-0.744166\pi\)
0.994430 0.105397i \(-0.0336114\pi\)
\(578\) 4.16919 + 2.40708i 0.173415 + 0.100121i
\(579\) −20.3504 3.58832i −0.845733 0.149126i
\(580\) −1.86213 + 1.56252i −0.0773209 + 0.0648800i
\(581\) 0.729667 + 1.26382i 0.0302717 + 0.0524321i
\(582\) 5.52093 9.56254i 0.228850 0.396380i
\(583\) −9.09801 51.5974i −0.376801 2.13694i
\(584\) 0.982064 0.566995i 0.0406381 0.0234624i
\(585\) −0.779309 + 0.283645i −0.0322205 + 0.0117273i
\(586\) 25.3205i 1.04598i
\(587\) −0.000238503 0 0.000655281i −9.84406e−6 0 2.70463e-5i 0.939688 0.342034i \(-0.111116\pi\)
−0.939698 + 0.342007i \(0.888893\pi\)
\(588\) 2.27738 12.9157i 0.0939175 0.532633i
\(589\) −42.0520 35.2858i −1.73272 1.45393i
\(590\) 4.45915 + 5.31421i 0.183580 + 0.218783i
\(591\) 48.6855 2.00266
\(592\) −5.68904 2.15285i −0.233818 0.0884818i
\(593\) −8.38840 −0.344470 −0.172235 0.985056i \(-0.555099\pi\)
−0.172235 + 0.985056i \(0.555099\pi\)
\(594\) 14.3445 + 17.0951i 0.588560 + 0.701419i
\(595\) 0.315207 + 0.264490i 0.0129222 + 0.0108431i
\(596\) 1.59992 9.07357i 0.0655351 0.371668i
\(597\) −10.0107 27.5041i −0.409709 1.12567i
\(598\) 8.13465i 0.332651i
\(599\) −24.7128 + 8.99471i −1.00974 + 0.367514i −0.793332 0.608790i \(-0.791655\pi\)
−0.216405 + 0.976304i \(0.569433\pi\)
\(600\) 7.09622 4.09700i 0.289702 0.167259i
\(601\) 7.49727 + 42.5191i 0.305820 + 1.73439i 0.619620 + 0.784902i \(0.287287\pi\)
−0.313800 + 0.949489i \(0.601602\pi\)
\(602\) 0.597332 1.03461i 0.0243454 0.0421676i
\(603\) −0.638350 1.10566i −0.0259956 0.0450258i
\(604\) −9.02729 + 7.57480i −0.367315 + 0.308214i
\(605\) −9.57243 1.68788i −0.389175 0.0686220i
\(606\) 27.6973 + 15.9910i 1.12513 + 0.649592i
\(607\) 11.6866 32.1087i 0.474345 1.30325i −0.439885 0.898054i \(-0.644981\pi\)
0.914229 0.405197i \(-0.132797\pi\)
\(608\) −6.33918 2.30727i −0.257088 0.0935722i
\(609\) −0.828549 + 0.146095i −0.0335745 + 0.00592009i
\(610\) −0.180857 + 0.215537i −0.00732267 + 0.00872682i
\(611\) −10.4417 + 12.4439i −0.422425 + 0.503426i
\(612\) 1.82921 0.322539i 0.0739414 0.0130379i
\(613\) −38.7066 14.0880i −1.56334 0.569011i −0.591844 0.806052i \(-0.701600\pi\)
−0.971499 + 0.237042i \(0.923822\pi\)
\(614\) 2.97752 8.18067i 0.120163 0.330145i
\(615\) 5.07530 + 2.93022i 0.204656 + 0.118158i
\(616\) 0.698115 + 0.123097i 0.0281279 + 0.00495970i
\(617\) −24.5087 + 20.5652i −0.986681 + 0.827924i −0.985084 0.172075i \(-0.944953\pi\)
−0.00159734 + 0.999999i \(0.500508\pi\)
\(618\) −11.9781 20.7467i −0.481831 0.834555i
\(619\) −3.10000 + 5.36936i −0.124600 + 0.215813i −0.921576 0.388197i \(-0.873098\pi\)
0.796977 + 0.604010i \(0.206431\pi\)
\(620\) −1.13049 6.41133i −0.0454016 0.257485i
\(621\) −16.7720 + 9.68334i −0.673039 + 0.388579i
\(622\) −5.45885 + 1.98686i −0.218880 + 0.0796657i
\(623\) 1.49016i 0.0597020i
\(624\) −1.25227 3.44057i −0.0501308 0.137733i
\(625\) 2.74516 15.5686i 0.109807 0.622744i
\(626\) 6.02528 + 5.05581i 0.240819 + 0.202071i
\(627\) 39.2104 + 46.7292i 1.56591 + 1.86618i
\(628\) 17.3717 0.693208
\(629\) −20.9564 + 3.42134i −0.835586 + 0.136418i
\(630\) −0.0627190 −0.00249878
\(631\) −23.4724 27.9733i −0.934421 1.11360i −0.993326 0.115336i \(-0.963205\pi\)
0.0589052 0.998264i \(-0.481239\pi\)
\(632\) 1.44803 + 1.21504i 0.0575995 + 0.0483317i
\(633\) −7.56293 + 42.8915i −0.300600 + 1.70479i
\(634\) −1.91497 5.26133i −0.0760531 0.208954i
\(635\) 4.42635i 0.175654i
\(636\) −19.2312 + 6.99959i −0.762567 + 0.277552i
\(637\) −11.7736 + 6.79748i −0.466487 + 0.269326i
\(638\) 2.53856 + 14.3969i 0.100503 + 0.569979i
\(639\) −1.85787 + 3.21793i −0.0734963 + 0.127299i
\(640\) −0.400019 0.692853i −0.0158121 0.0273874i
\(641\) −15.2619 + 12.8063i −0.602810 + 0.505817i −0.892347 0.451349i \(-0.850943\pi\)
0.289538 + 0.957167i \(0.406498\pi\)
\(642\) −26.3534 4.64681i −1.04009 0.183395i
\(643\) −28.9945 16.7400i −1.14343 0.660161i −0.196155 0.980573i \(-0.562845\pi\)
−0.947278 + 0.320412i \(0.896179\pi\)
\(644\) −0.210410 + 0.578096i −0.00829130 + 0.0227802i
\(645\) 11.4566 + 4.16985i 0.451101 + 0.164187i
\(646\) −23.1914 + 4.08926i −0.912452 + 0.160890i
\(647\) −7.67494 + 9.14664i −0.301733 + 0.359592i −0.895513 0.445036i \(-0.853191\pi\)
0.593779 + 0.804628i \(0.297635\pi\)
\(648\) 6.62916 7.90033i 0.260418 0.310354i
\(649\) 41.0863 7.24462i 1.61278 0.284376i
\(650\) −7.98170 2.90510i −0.313068 0.113947i
\(651\) 0.770651 2.11735i 0.0302042 0.0829853i
\(652\) 1.95821 + 1.13057i 0.0766895 + 0.0442767i
\(653\) 13.4694 + 2.37501i 0.527097 + 0.0929414i 0.430863 0.902417i \(-0.358209\pi\)
0.0962338 + 0.995359i \(0.469320\pi\)
\(654\) −28.4894 + 23.9054i −1.11402 + 0.934777i
\(655\) 0.329195 + 0.570182i 0.0128627 + 0.0222789i
\(656\) −1.94883 + 3.37547i −0.0760891 + 0.131790i
\(657\) 0.104776 + 0.594217i 0.00408772 + 0.0231826i
\(658\) −1.06392 + 0.614253i −0.0414758 + 0.0239461i
\(659\) 31.2934 11.3899i 1.21902 0.443686i 0.349194 0.937051i \(-0.386456\pi\)
0.869822 + 0.493365i \(0.164233\pi\)
\(660\) 7.23432i 0.281596i
\(661\) −1.38912 3.81658i −0.0540305 0.148448i 0.909741 0.415175i \(-0.136280\pi\)
−0.963772 + 0.266728i \(0.914058\pi\)
\(662\) −3.15875 + 17.9142i −0.122768 + 0.696254i
\(663\) −9.79099 8.21561i −0.380250 0.319068i
\(664\) −6.36675 7.58759i −0.247078 0.294456i
\(665\) 0.795174 0.0308355
\(666\) 2.11175 2.45273i 0.0818286 0.0950415i
\(667\) −12.6869 −0.491240
\(668\) −10.2563 12.2230i −0.396829 0.472923i
\(669\) 14.2702 + 11.9741i 0.551717 + 0.462945i
\(670\) −0.333339 + 1.89046i −0.0128780 + 0.0730348i
\(671\) 0.578735 + 1.59006i 0.0223418 + 0.0613836i
\(672\) 0.276898i 0.0106816i
\(673\) 17.0237 6.19612i 0.656216 0.238843i 0.00761402 0.999971i \(-0.497576\pi\)
0.648602 + 0.761128i \(0.275354\pi\)
\(674\) 28.6135 16.5200i 1.10215 0.636328i
\(675\) −3.51153 19.9149i −0.135159 0.766523i
\(676\) 4.60230 7.97141i 0.177011 0.306593i
\(677\) −10.1473 17.5756i −0.389991 0.675484i 0.602457 0.798151i \(-0.294189\pi\)
−0.992448 + 0.122667i \(0.960855\pi\)
\(678\) 12.2396 10.2703i 0.470060 0.394427i
\(679\) −0.852477 0.150315i −0.0327150 0.00576855i
\(680\) −2.41863 1.39639i −0.0927501 0.0535493i
\(681\) 1.28582 3.53276i 0.0492728 0.135376i
\(682\) −36.7911 13.3909i −1.40880 0.512763i
\(683\) −23.3553 + 4.11816i −0.893665 + 0.157577i −0.601577 0.798814i \(-0.705461\pi\)
−0.292087 + 0.956392i \(0.594350\pi\)
\(684\) 2.30727 2.74970i 0.0882207 0.105137i
\(685\) 3.46727 4.13213i 0.132477 0.157881i
\(686\) −2.02820 + 0.357626i −0.0774369 + 0.0136542i
\(687\) 15.7928 + 5.74813i 0.602535 + 0.219305i
\(688\) −2.77328 + 7.61952i −0.105730 + 0.290491i
\(689\) 18.3723 + 10.6073i 0.699931 + 0.404105i
\(690\) −6.18284 1.09020i −0.235377 0.0415032i
\(691\) −2.69427 + 2.26076i −0.102495 + 0.0860034i −0.692595 0.721327i \(-0.743533\pi\)
0.590100 + 0.807330i \(0.299088\pi\)
\(692\) −1.53759 2.66318i −0.0584502 0.101239i
\(693\) −0.188595 + 0.326656i −0.00716412 + 0.0124086i
\(694\) −5.60917 31.8112i −0.212921 1.20754i
\(695\) 8.31688 4.80175i 0.315477 0.182141i
\(696\) 5.36597 1.95305i 0.203396 0.0740303i
\(697\) 13.6060i 0.515366i
\(698\) 0.781994 + 2.14851i 0.0295989 + 0.0813224i
\(699\) −7.09324 + 40.2278i −0.268291 + 1.52155i
\(700\) −0.492083 0.412907i −0.0185990 0.0156064i
\(701\) 12.2023 + 14.5422i 0.460876 + 0.549251i 0.945564 0.325436i \(-0.105511\pi\)
−0.484688 + 0.874687i \(0.661067\pi\)
\(702\) −9.03596 −0.341040
\(703\) −26.7735 + 31.0966i −1.00978 + 1.17283i
\(704\) −4.81140 −0.181336
\(705\) −8.05874 9.60403i −0.303510 0.361709i
\(706\) −4.91950 4.12795i −0.185148 0.155357i
\(707\) 0.435377 2.46915i 0.0163740 0.0928618i
\(708\) −5.57367 15.3135i −0.209471 0.575518i
\(709\) 13.0236i 0.489113i 0.969635 + 0.244556i \(0.0786423\pi\)
−0.969635 + 0.244556i \(0.921358\pi\)
\(710\) 5.24999 1.91084i 0.197029 0.0717125i
\(711\) −0.871040 + 0.502895i −0.0326666 + 0.0188601i
\(712\) 1.75630 + 9.96048i 0.0658202 + 0.373285i
\(713\) 16.9889 29.4257i 0.636240 1.10200i
\(714\) −0.483301 0.837102i −0.0180871 0.0313278i
\(715\) 5.74467 4.82035i 0.214838 0.180271i
\(716\) 10.2879 + 1.81404i 0.384478 + 0.0677939i
\(717\) −12.8862 7.43983i −0.481242 0.277845i
\(718\) 2.50442 6.88084i 0.0934642 0.256791i
\(719\) 23.6018 + 8.59034i 0.880197 + 0.320366i 0.742289 0.670079i \(-0.233740\pi\)
0.137908 + 0.990445i \(0.455962\pi\)
\(720\) 0.419224 0.0739205i 0.0156236 0.00275486i
\(721\) −1.20719 + 1.43867i −0.0449580 + 0.0535789i
\(722\) −17.0394 + 20.3068i −0.634143 + 0.755742i
\(723\) 55.1151 9.71829i 2.04975 0.361427i
\(724\) 8.46310 + 3.08032i 0.314529 + 0.114479i
\(725\) 4.53084 12.4484i 0.168271 0.462321i
\(726\) 19.7746 + 11.4168i 0.733902 + 0.423719i
\(727\) −19.0823 3.36472i −0.707723 0.124791i −0.191811 0.981432i \(-0.561436\pi\)
−0.515913 + 0.856641i \(0.672547\pi\)
\(728\) −0.219881 + 0.184502i −0.00814932 + 0.00683810i
\(729\) −10.3316 17.8948i −0.382651 0.662770i
\(730\) 0.453618 0.785689i 0.0167891 0.0290796i
\(731\) 4.91518 + 27.8754i 0.181795 + 1.03101i
\(732\) 0.572404 0.330478i 0.0211567 0.0122148i
\(733\) 10.1457 3.69274i 0.374741 0.136395i −0.147781 0.989020i \(-0.547213\pi\)
0.522523 + 0.852625i \(0.324991\pi\)
\(734\) 31.5546i 1.16470i
\(735\) −3.58862 9.85965i −0.132368 0.363679i
\(736\) 0.725070 4.11208i 0.0267264 0.151573i
\(737\) 8.84362 + 7.42068i 0.325759 + 0.273344i
\(738\) −1.33308 1.58870i −0.0490713 0.0584809i
\(739\) −28.0429 −1.03157 −0.515787 0.856717i \(-0.672500\pi\)
−0.515787 + 0.856717i \(0.672500\pi\)
\(740\) −4.80286 + 0.784114i −0.176556 + 0.0288246i
\(741\) −24.6997 −0.907367
\(742\) 1.03128 + 1.22903i 0.0378595 + 0.0451192i
\(743\) 13.7013 + 11.4967i 0.502651 + 0.421774i 0.858534 0.512756i \(-0.171375\pi\)
−0.355883 + 0.934530i \(0.615820\pi\)
\(744\) −2.65566 + 15.0610i −0.0973611 + 0.552162i
\(745\) −2.52109 6.92665i −0.0923657 0.253773i
\(746\) 8.36944i 0.306427i
\(747\) 4.95245 1.80254i 0.181201 0.0659517i
\(748\) −14.5455 + 8.39787i −0.531837 + 0.307056i
\(749\) 0.364287 + 2.06597i 0.0133108 + 0.0754891i
\(750\) 7.03671 12.1879i 0.256944 0.445040i
\(751\) 1.32138 + 2.28870i 0.0482179 + 0.0835159i 0.889127 0.457660i \(-0.151312\pi\)
−0.840909 + 0.541176i \(0.817979\pi\)
\(752\) 6.38745 5.35970i 0.232926 0.195448i
\(753\) 42.2655 + 7.45254i 1.54024 + 0.271586i
\(754\) −5.12632 2.95969i −0.186690 0.107785i
\(755\) −3.22453 + 8.85931i −0.117353 + 0.322423i
\(756\) −0.642148 0.233723i −0.0233547 0.00850042i
\(757\) 47.2794 8.33663i 1.71840 0.303000i 0.774337 0.632773i \(-0.218083\pi\)
0.944060 + 0.329773i \(0.106972\pi\)
\(758\) 18.1179 21.5920i 0.658071 0.784258i
\(759\) −24.2697 + 28.9235i −0.880934 + 1.04986i
\(760\) −5.31507 + 0.937191i −0.192798 + 0.0339955i
\(761\) 3.02398 + 1.10064i 0.109619 + 0.0398981i 0.396247 0.918144i \(-0.370312\pi\)
−0.286628 + 0.958042i \(0.592534\pi\)
\(762\) −3.55633 + 9.77095i −0.128832 + 0.353964i
\(763\) 2.52492 + 1.45777i 0.0914084 + 0.0527747i
\(764\) 0.990230 + 0.174604i 0.0358253 + 0.00631696i
\(765\) 1.13835 0.955190i 0.0411572 0.0345350i
\(766\) 4.54733 + 7.87621i 0.164302 + 0.284579i
\(767\) −8.44643 + 14.6296i −0.304983 + 0.528246i
\(768\) 0.326352 + 1.85083i 0.0117762 + 0.0667862i
\(769\) 17.4613 10.0813i 0.629671 0.363541i −0.150954 0.988541i \(-0.548234\pi\)
0.780625 + 0.625000i \(0.214901\pi\)
\(770\) 0.532932