Properties

Label 384.2.v.a.157.23
Level $384$
Weight $2$
Character 384.157
Analytic conductor $3.066$
Analytic rank $0$
Dimension $512$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.v (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(512\)
Relative dimension: \(32\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 157.23
Character \(\chi\) \(=\) 384.157
Dual form 384.2.v.a.181.23

$q$-expansion

\(f(q)\) \(=\) \(q+(0.886484 + 1.10188i) q^{2} +(0.0980171 - 0.995185i) q^{3} +(-0.428293 + 1.95360i) q^{4} +(-3.03822 + 1.62396i) q^{5} +(1.18347 - 0.774212i) q^{6} +(-0.0609552 - 0.306443i) q^{7} +(-2.53232 + 1.25991i) q^{8} +(-0.980785 - 0.195090i) q^{9} +O(q^{10})\) \(q+(0.886484 + 1.10188i) q^{2} +(0.0980171 - 0.995185i) q^{3} +(-0.428293 + 1.95360i) q^{4} +(-3.03822 + 1.62396i) q^{5} +(1.18347 - 0.774212i) q^{6} +(-0.0609552 - 0.306443i) q^{7} +(-2.53232 + 1.25991i) q^{8} +(-0.980785 - 0.195090i) q^{9} +(-4.48275 - 1.90815i) q^{10} +(-3.52971 + 4.30096i) q^{11} +(1.90222 + 0.617717i) q^{12} +(0.800729 - 1.49806i) q^{13} +(0.283628 - 0.338822i) q^{14} +(1.31835 + 3.18277i) q^{15} +(-3.63313 - 1.67343i) q^{16} +(-0.777110 + 1.87611i) q^{17} +(-0.654484 - 1.25366i) q^{18} +(1.40624 + 4.63574i) q^{19} +(-1.87133 - 6.63101i) q^{20} +(-0.310942 + 0.0306251i) q^{21} +(-7.86819 - 0.0765928i) q^{22} +(2.04529 - 1.36662i) q^{23} +(1.00563 + 2.64362i) q^{24} +(3.81568 - 5.71057i) q^{25} +(2.36052 - 0.445695i) q^{26} +(-0.290285 + 0.956940i) q^{27} +(0.624774 + 0.0121649i) q^{28} +(2.41755 - 1.98403i) q^{29} +(-2.33835 + 4.27413i) q^{30} +(1.08390 - 1.08390i) q^{31} +(-1.37679 - 5.48675i) q^{32} +(3.93428 + 3.93428i) q^{33} +(-2.75615 + 0.806856i) q^{34} +(0.682847 + 0.832051i) q^{35} +(0.801192 - 1.83251i) q^{36} +(-5.25585 - 1.59435i) q^{37} +(-3.86144 + 5.65902i) q^{38} +(-1.41236 - 0.943708i) q^{39} +(5.64769 - 7.94027i) q^{40} +(5.31281 + 7.95118i) q^{41} +(-0.309390 - 0.315473i) q^{42} +(1.10705 + 11.2400i) q^{43} +(-6.89062 - 8.73772i) q^{44} +(3.29666 - 1.00003i) q^{45} +(3.31898 + 1.04219i) q^{46} +(-7.30995 - 3.02788i) q^{47} +(-2.02148 + 3.45161i) q^{48} +(6.37697 - 2.64143i) q^{49} +(9.67491 - 0.857893i) q^{50} +(1.79091 + 0.957259i) q^{51} +(2.58366 + 2.20591i) q^{52} +(1.14828 + 0.942371i) q^{53} +(-1.31177 + 0.528452i) q^{54} +(3.73943 - 18.7994i) q^{55} +(0.540448 + 0.699212i) q^{56} +(4.75125 - 0.945083i) q^{57} +(4.32928 + 0.905044i) q^{58} +(-0.278466 - 0.520974i) q^{59} +(-6.78250 + 1.21237i) q^{60} +(14.9424 + 1.47170i) q^{61} +(2.15520 + 0.233472i) q^{62} +0.312446i q^{63} +(4.82526 - 6.38098i) q^{64} +5.85178i q^{65} +(-0.847441 + 7.82279i) q^{66} +(-10.7537 - 1.05915i) q^{67} +(-3.33234 - 2.32169i) q^{68} +(-1.15957 - 2.16940i) q^{69} +(-0.311491 + 1.49002i) q^{70} +(2.97508 - 0.591780i) q^{71} +(2.72946 - 0.741670i) q^{72} +(1.34471 - 6.76030i) q^{73} +(-2.90245 - 7.20470i) q^{74} +(-5.30907 - 4.35704i) q^{75} +(-9.65867 + 0.761773i) q^{76} +(1.53315 + 0.819487i) q^{77} +(-0.212177 - 2.39284i) q^{78} +(-10.0620 + 4.16781i) q^{79} +(13.7558 - 0.815823i) q^{80} +(0.923880 + 0.382683i) q^{81} +(-4.05155 + 12.9027i) q^{82} +(-3.38393 + 1.02650i) q^{83} +(0.0733449 - 0.620573i) q^{84} +(-0.685700 - 6.96203i) q^{85} +(-11.4038 + 11.1839i) q^{86} +(-1.73751 - 2.60037i) q^{87} +(3.51952 - 15.3385i) q^{88} +(9.10601 + 6.08444i) q^{89} +(4.02435 + 2.74602i) q^{90} +(-0.507877 - 0.154063i) q^{91} +(1.79385 + 4.58101i) q^{92} +(-0.972442 - 1.18492i) q^{93} +(-3.14378 - 10.7389i) q^{94} +(-11.8007 - 11.8007i) q^{95} +(-5.59528 + 0.832363i) q^{96} +(-1.18315 + 1.18315i) q^{97} +(8.56362 + 4.68509i) q^{98} +(4.30096 - 3.52971i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 512q + O(q^{10}) \) \( 512q - 96q^{50} - 96q^{52} - 32q^{54} - 224q^{56} - 192q^{60} - 192q^{62} - 192q^{64} - 192q^{66} - 192q^{68} - 192q^{70} - 224q^{74} - 32q^{76} - 96q^{78} - 96q^{80} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(1\) \(e\left(\frac{27}{32}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.886484 + 1.10188i 0.626839 + 0.779149i
\(3\) 0.0980171 0.995185i 0.0565902 0.574570i
\(4\) −0.428293 + 1.95360i −0.214146 + 0.976802i
\(5\) −3.03822 + 1.62396i −1.35873 + 0.726258i −0.979953 0.199228i \(-0.936156\pi\)
−0.378781 + 0.925487i \(0.623656\pi\)
\(6\) 1.18347 0.774212i 0.483149 0.316071i
\(7\) −0.0609552 0.306443i −0.0230389 0.115824i 0.967555 0.252662i \(-0.0813061\pi\)
−0.990593 + 0.136838i \(0.956306\pi\)
\(8\) −2.53232 + 1.25991i −0.895309 + 0.445445i
\(9\) −0.980785 0.195090i −0.326928 0.0650301i
\(10\) −4.48275 1.90815i −1.41757 0.603409i
\(11\) −3.52971 + 4.30096i −1.06425 + 1.29679i −0.111256 + 0.993792i \(0.535487\pi\)
−0.952992 + 0.302997i \(0.902013\pi\)
\(12\) 1.90222 + 0.617717i 0.549122 + 0.178320i
\(13\) 0.800729 1.49806i 0.222082 0.415487i −0.746063 0.665875i \(-0.768058\pi\)
0.968145 + 0.250389i \(0.0805584\pi\)
\(14\) 0.283628 0.338822i 0.0758028 0.0905540i
\(15\) 1.31835 + 3.18277i 0.340395 + 0.821787i
\(16\) −3.63313 1.67343i −0.908283 0.418357i
\(17\) −0.777110 + 1.87611i −0.188477 + 0.455023i −0.989667 0.143387i \(-0.954201\pi\)
0.801190 + 0.598410i \(0.204201\pi\)
\(18\) −0.654484 1.25366i −0.154263 0.295489i
\(19\) 1.40624 + 4.63574i 0.322613 + 1.06351i 0.956901 + 0.290415i \(0.0937933\pi\)
−0.634288 + 0.773097i \(0.718707\pi\)
\(20\) −1.87133 6.63101i −0.418442 1.48274i
\(21\) −0.310942 + 0.0306251i −0.0678530 + 0.00668294i
\(22\) −7.86819 0.0765928i −1.67750 0.0163296i
\(23\) 2.04529 1.36662i 0.426473 0.284960i −0.323753 0.946142i \(-0.604945\pi\)
0.750226 + 0.661181i \(0.229945\pi\)
\(24\) 1.00563 + 2.64362i 0.205274 + 0.539626i
\(25\) 3.81568 5.71057i 0.763136 1.14211i
\(26\) 2.36052 0.445695i 0.462936 0.0874079i
\(27\) −0.290285 + 0.956940i −0.0558653 + 0.184163i
\(28\) 0.624774 + 0.0121649i 0.118071 + 0.00229894i
\(29\) 2.41755 1.98403i 0.448927 0.368425i −0.382596 0.923916i \(-0.624970\pi\)
0.831522 + 0.555491i \(0.187470\pi\)
\(30\) −2.33835 + 4.27413i −0.426922 + 0.780347i
\(31\) 1.08390 1.08390i 0.194675 0.194675i −0.603038 0.797713i \(-0.706043\pi\)
0.797713 + 0.603038i \(0.206043\pi\)
\(32\) −1.37679 5.48675i −0.243384 0.969930i
\(33\) 3.93428 + 3.93428i 0.684870 + 0.684870i
\(34\) −2.75615 + 0.806856i −0.472676 + 0.138375i
\(35\) 0.682847 + 0.832051i 0.115422 + 0.140642i
\(36\) 0.801192 1.83251i 0.133532 0.305418i
\(37\) −5.25585 1.59435i −0.864057 0.262109i −0.173011 0.984920i \(-0.555350\pi\)
−0.691046 + 0.722811i \(0.742850\pi\)
\(38\) −3.86144 + 5.65902i −0.626408 + 0.918013i
\(39\) −1.41236 0.943708i −0.226158 0.151114i
\(40\) 5.64769 7.94027i 0.892979 1.25547i
\(41\) 5.31281 + 7.95118i 0.829721 + 1.24177i 0.967894 + 0.251357i \(0.0808769\pi\)
−0.138173 + 0.990408i \(0.544123\pi\)
\(42\) −0.309390 0.315473i −0.0477399 0.0486785i
\(43\) 1.10705 + 11.2400i 0.168823 + 1.71409i 0.590245 + 0.807224i \(0.299031\pi\)
−0.421422 + 0.906864i \(0.638469\pi\)
\(44\) −6.89062 8.73772i −1.03880 1.31726i
\(45\) 3.29666 1.00003i 0.491437 0.149076i
\(46\) 3.31898 + 1.04219i 0.489357 + 0.153662i
\(47\) −7.30995 3.02788i −1.06627 0.441662i −0.220594 0.975366i \(-0.570800\pi\)
−0.845671 + 0.533704i \(0.820800\pi\)
\(48\) −2.02148 + 3.45161i −0.291775 + 0.498197i
\(49\) 6.37697 2.64143i 0.910995 0.377346i
\(50\) 9.67491 0.857893i 1.36824 0.121324i
\(51\) 1.79091 + 0.957259i 0.250777 + 0.134043i
\(52\) 2.58366 + 2.20591i 0.358290 + 0.305905i
\(53\) 1.14828 + 0.942371i 0.157729 + 0.129445i 0.709947 0.704255i \(-0.248719\pi\)
−0.552219 + 0.833699i \(0.686219\pi\)
\(54\) −1.31177 + 0.528452i −0.178509 + 0.0719133i
\(55\) 3.73943 18.7994i 0.504225 2.53491i
\(56\) 0.540448 + 0.699212i 0.0722204 + 0.0934361i
\(57\) 4.75125 0.945083i 0.629319 0.125179i
\(58\) 4.32928 + 0.905044i 0.568463 + 0.118838i
\(59\) −0.278466 0.520974i −0.0362532 0.0678250i 0.863142 0.504961i \(-0.168493\pi\)
−0.899396 + 0.437136i \(0.855993\pi\)
\(60\) −6.78250 + 1.21237i −0.875617 + 0.156516i
\(61\) 14.9424 + 1.47170i 1.91318 + 0.188432i 0.983622 0.180245i \(-0.0576891\pi\)
0.929558 + 0.368677i \(0.120189\pi\)
\(62\) 2.15520 + 0.233472i 0.273710 + 0.0296509i
\(63\) 0.312446i 0.0393645i
\(64\) 4.82526 6.38098i 0.603157 0.797622i
\(65\) 5.85178i 0.725825i
\(66\) −0.847441 + 7.82279i −0.104313 + 0.962919i
\(67\) −10.7537 1.05915i −1.31378 0.129396i −0.583258 0.812287i \(-0.698222\pi\)
−0.730520 + 0.682891i \(0.760722\pi\)
\(68\) −3.33234 2.32169i −0.404106 0.281546i
\(69\) −1.15957 2.16940i −0.139596 0.261165i
\(70\) −0.311491 + 1.49002i −0.0372303 + 0.178091i
\(71\) 2.97508 0.591780i 0.353077 0.0702314i −0.0153654 0.999882i \(-0.504891\pi\)
0.368442 + 0.929651i \(0.379891\pi\)
\(72\) 2.72946 0.741670i 0.321669 0.0874066i
\(73\) 1.34471 6.76030i 0.157386 0.791234i −0.818763 0.574132i \(-0.805340\pi\)
0.976149 0.217102i \(-0.0696604\pi\)
\(74\) −2.90245 7.20470i −0.337402 0.837529i
\(75\) −5.30907 4.35704i −0.613038 0.503107i
\(76\) −9.65867 + 0.761773i −1.10793 + 0.0873814i
\(77\) 1.53315 + 0.819487i 0.174719 + 0.0933892i
\(78\) −0.212177 2.39284i −0.0240244 0.270935i
\(79\) −10.0620 + 4.16781i −1.13206 + 0.468915i −0.868481 0.495722i \(-0.834903\pi\)
−0.263580 + 0.964637i \(0.584903\pi\)
\(80\) 13.7558 0.815823i 1.53795 0.0912118i
\(81\) 0.923880 + 0.382683i 0.102653 + 0.0425204i
\(82\) −4.05155 + 12.9027i −0.447419 + 1.42486i
\(83\) −3.38393 + 1.02650i −0.371435 + 0.112673i −0.470483 0.882409i \(-0.655920\pi\)
0.0990481 + 0.995083i \(0.468420\pi\)
\(84\) 0.0733449 0.620573i 0.00800258 0.0677101i
\(85\) −0.685700 6.96203i −0.0743746 0.755138i
\(86\) −11.4038 + 11.1839i −1.22971 + 1.20600i
\(87\) −1.73751 2.60037i −0.186281 0.278789i
\(88\) 3.51952 15.3385i 0.375182 1.63509i
\(89\) 9.10601 + 6.08444i 0.965235 + 0.644949i 0.935020 0.354594i \(-0.115381\pi\)
0.0302145 + 0.999543i \(0.490381\pi\)
\(90\) 4.02435 + 2.74602i 0.424204 + 0.289456i
\(91\) −0.507877 0.154063i −0.0532400 0.0161502i
\(92\) 1.79385 + 4.58101i 0.187022 + 0.477603i
\(93\) −0.972442 1.18492i −0.100838 0.122871i
\(94\) −3.14378 10.7389i −0.324256 1.10763i
\(95\) −11.8007 11.8007i −1.21073 1.21073i
\(96\) −5.59528 + 0.832363i −0.571066 + 0.0849527i
\(97\) −1.18315 + 1.18315i −0.120131 + 0.120131i −0.764617 0.644486i \(-0.777072\pi\)
0.644486 + 0.764617i \(0.277072\pi\)
\(98\) 8.56362 + 4.68509i 0.865056 + 0.473265i
\(99\) 4.30096 3.52971i 0.432263 0.354749i
\(100\) 9.52195 + 9.90012i 0.952195 + 0.990012i
\(101\) −4.51399 + 14.8806i −0.449159 + 1.48068i 0.381747 + 0.924267i \(0.375323\pi\)
−0.830906 + 0.556413i \(0.812177\pi\)
\(102\) 0.532821 + 2.82196i 0.0527572 + 0.279416i
\(103\) −3.67892 + 5.50589i −0.362495 + 0.542512i −0.967226 0.253918i \(-0.918281\pi\)
0.604731 + 0.796430i \(0.293281\pi\)
\(104\) −0.140282 + 4.80240i −0.0137558 + 0.470914i
\(105\) 0.894976 0.598004i 0.0873407 0.0583592i
\(106\) −0.0204489 + 2.10067i −0.00198618 + 0.204035i
\(107\) 12.6640 1.24729i 1.22427 0.120580i 0.534855 0.844944i \(-0.320366\pi\)
0.689418 + 0.724364i \(0.257866\pi\)
\(108\) −1.74515 0.976952i −0.167928 0.0940072i
\(109\) −0.574253 1.89306i −0.0550035 0.181322i 0.925134 0.379640i \(-0.123952\pi\)
−0.980138 + 0.198318i \(0.936452\pi\)
\(110\) 24.0297 12.5449i 2.29114 1.19611i
\(111\) −2.10183 + 5.07427i −0.199497 + 0.481628i
\(112\) −0.291352 + 1.21535i −0.0275301 + 0.114840i
\(113\) −2.24754 5.42604i −0.211431 0.510439i 0.782213 0.623011i \(-0.214091\pi\)
−0.993644 + 0.112572i \(0.964091\pi\)
\(114\) 5.25328 + 4.39752i 0.492015 + 0.411866i
\(115\) −3.99471 + 7.47358i −0.372509 + 0.696915i
\(116\) 2.84059 + 5.57267i 0.263742 + 0.517409i
\(117\) −1.07760 + 1.31306i −0.0996241 + 0.121392i
\(118\) 0.327196 0.768672i 0.0301209 0.0707620i
\(119\) 0.622289 + 0.123781i 0.0570451 + 0.0113470i
\(120\) −7.34846 6.39878i −0.670820 0.584126i
\(121\) −3.89344 19.5736i −0.353949 1.77942i
\(122\) 11.6246 + 17.7694i 1.05244 + 1.60877i
\(123\) 8.43364 4.50787i 0.760435 0.406461i
\(124\) 1.65329 + 2.58174i 0.148470 + 0.231847i
\(125\) −0.630780 + 6.40441i −0.0564187 + 0.572828i
\(126\) −0.344279 + 0.276979i −0.0306708 + 0.0246752i
\(127\) 21.5459 1.91189 0.955943 0.293552i \(-0.0948373\pi\)
0.955943 + 0.293552i \(0.0948373\pi\)
\(128\) 11.3086 0.339762i 0.999549 0.0300310i
\(129\) 11.2944 0.994418
\(130\) −6.44798 + 5.18751i −0.565525 + 0.454975i
\(131\) −1.61917 + 16.4397i −0.141467 + 1.43634i 0.618194 + 0.786025i \(0.287864\pi\)
−0.759662 + 0.650318i \(0.774636\pi\)
\(132\) −9.37105 + 6.00100i −0.815645 + 0.522320i
\(133\) 1.33487 0.713503i 0.115748 0.0618686i
\(134\) −8.36595 12.7883i −0.722708 1.10474i
\(135\) −0.672087 3.37881i −0.0578440 0.290801i
\(136\) −0.395838 5.72999i −0.0339428 0.491343i
\(137\) −21.7227 4.32091i −1.85589 0.369160i −0.864776 0.502158i \(-0.832540\pi\)
−0.991116 + 0.132998i \(0.957540\pi\)
\(138\) 1.36249 3.20084i 0.115982 0.272474i
\(139\) −0.654000 + 0.796901i −0.0554716 + 0.0675923i −0.800007 0.599991i \(-0.795171\pi\)
0.744536 + 0.667583i \(0.232671\pi\)
\(140\) −1.91796 + 0.977650i −0.162097 + 0.0826265i
\(141\) −3.72980 + 6.97796i −0.314106 + 0.587651i
\(142\) 3.28943 + 2.75359i 0.276043 + 0.231076i
\(143\) 3.61675 + 8.73161i 0.302448 + 0.730174i
\(144\) 3.23685 + 2.35006i 0.269738 + 0.195839i
\(145\) −4.12305 + 9.95392i −0.342401 + 0.826628i
\(146\) 8.64113 4.51119i 0.715145 0.373349i
\(147\) −2.00365 6.60516i −0.165259 0.544785i
\(148\) 5.36576 9.58500i 0.441063 0.787882i
\(149\) 1.63105 0.160645i 0.133621 0.0131605i −0.0309856 0.999520i \(-0.509865\pi\)
0.164606 + 0.986359i \(0.447365\pi\)
\(150\) 0.0945454 9.71242i 0.00771960 0.793015i
\(151\) −19.4635 + 13.0051i −1.58391 + 1.05834i −0.622729 + 0.782438i \(0.713976\pi\)
−0.961186 + 0.275900i \(0.911024\pi\)
\(152\) −9.40164 9.96743i −0.762574 0.808465i
\(153\) 1.12819 1.68845i 0.0912087 0.136503i
\(154\) 0.456136 + 2.41582i 0.0367565 + 0.194672i
\(155\) −1.53292 + 5.05335i −0.123127 + 0.405895i
\(156\) 2.44853 2.35501i 0.196040 0.188551i
\(157\) −12.1710 + 9.98848i −0.971352 + 0.797168i −0.979220 0.202801i \(-0.934995\pi\)
0.00786830 + 0.999969i \(0.497495\pi\)
\(158\) −13.5122 7.39243i −1.07497 0.588110i
\(159\) 1.05038 1.05038i 0.0833009 0.0833009i
\(160\) 13.0933 + 14.4341i 1.03511 + 1.14112i
\(161\) −0.543463 0.543463i −0.0428309 0.0428309i
\(162\) 0.397332 + 1.35725i 0.0312173 + 0.106636i
\(163\) −5.16398 6.29233i −0.404474 0.492854i 0.530442 0.847721i \(-0.322026\pi\)
−0.934917 + 0.354868i \(0.884526\pi\)
\(164\) −17.8089 + 6.97368i −1.39064 + 0.544553i
\(165\) −18.3423 5.56409i −1.42795 0.433164i
\(166\) −4.13089 2.81872i −0.320619 0.218775i
\(167\) 8.29891 + 5.54515i 0.642189 + 0.429097i 0.833566 0.552420i \(-0.186295\pi\)
−0.191377 + 0.981517i \(0.561295\pi\)
\(168\) 0.748818 0.469311i 0.0577726 0.0362081i
\(169\) 5.61940 + 8.41003i 0.432262 + 0.646925i
\(170\) 7.06348 6.92729i 0.541744 0.531299i
\(171\) −0.474828 4.82101i −0.0363110 0.368672i
\(172\) −22.4327 2.65130i −1.71048 0.202159i
\(173\) 6.37487 1.93379i 0.484672 0.147024i −0.0384864 0.999259i \(-0.512254\pi\)
0.523158 + 0.852235i \(0.324754\pi\)
\(174\) 1.32503 4.21973i 0.100450 0.319897i
\(175\) −1.98255 0.821198i −0.149866 0.0620767i
\(176\) 20.0212 9.71924i 1.50916 0.732615i
\(177\) −0.545760 + 0.226061i −0.0410218 + 0.0169918i
\(178\) 1.36799 + 15.4275i 0.102535 + 1.15634i
\(179\) −17.0357 9.10576i −1.27331 0.680596i −0.310444 0.950592i \(-0.600478\pi\)
−0.962862 + 0.269995i \(0.912978\pi\)
\(180\) 0.541728 + 6.86867i 0.0403780 + 0.511961i
\(181\) −2.91551 2.39270i −0.216708 0.177848i 0.519776 0.854303i \(-0.326015\pi\)
−0.736484 + 0.676455i \(0.763515\pi\)
\(182\) −0.280466 0.696196i −0.0207895 0.0516055i
\(183\) 2.92922 14.7262i 0.216534 1.08859i
\(184\) −3.45751 + 6.03761i −0.254891 + 0.445098i
\(185\) 18.5576 3.69134i 1.36438 0.271392i
\(186\) 0.443594 2.12193i 0.0325259 0.155588i
\(187\) −5.32610 9.96444i −0.389483 0.728672i
\(188\) 9.04607 12.9839i 0.659753 0.946949i
\(189\) 0.310942 + 0.0306251i 0.0226177 + 0.00222765i
\(190\) 2.54187 23.4642i 0.184406 1.70227i
\(191\) 3.12776i 0.226317i −0.993577 0.113158i \(-0.963903\pi\)
0.993577 0.113158i \(-0.0360968\pi\)
\(192\) −5.87729 5.42747i −0.424157 0.391694i
\(193\) 9.41148i 0.677453i −0.940885 0.338727i \(-0.890004\pi\)
0.940885 0.338727i \(-0.109996\pi\)
\(194\) −2.35254 0.254850i −0.168903 0.0182972i
\(195\) 5.82361 + 0.573575i 0.417037 + 0.0410746i
\(196\) 2.42909 + 13.5894i 0.173506 + 0.970669i
\(197\) −10.5682 19.7718i −0.752955 1.40868i −0.907223 0.420650i \(-0.861802\pi\)
0.154268 0.988029i \(-0.450698\pi\)
\(198\) 7.70206 + 1.61013i 0.547362 + 0.114427i
\(199\) 1.11250 0.221289i 0.0788628 0.0156868i −0.155501 0.987836i \(-0.549699\pi\)
0.234364 + 0.972149i \(0.424699\pi\)
\(200\) −2.46771 + 19.2684i −0.174494 + 1.36248i
\(201\) −2.10810 + 10.5981i −0.148694 + 0.747535i
\(202\) −20.3983 + 8.21756i −1.43522 + 0.578185i
\(203\) −0.755353 0.619902i −0.0530154 0.0435086i
\(204\) −2.63714 + 3.08873i −0.184636 + 0.216254i
\(205\) −29.0539 15.5296i −2.02921 1.08464i
\(206\) −9.32816 + 0.827145i −0.649923 + 0.0576299i
\(207\) −2.27261 + 0.941346i −0.157957 + 0.0654281i
\(208\) −5.41604 + 4.10268i −0.375535 + 0.284470i
\(209\) −24.9017 10.3146i −1.72249 0.713478i
\(210\) 1.45231 + 0.456038i 0.100219 + 0.0314696i
\(211\) 10.2862 3.12029i 0.708133 0.214810i 0.0843826 0.996433i \(-0.473108\pi\)
0.623750 + 0.781624i \(0.285608\pi\)
\(212\) −2.33282 + 1.83968i −0.160219 + 0.126350i
\(213\) −0.297322 3.01876i −0.0203722 0.206842i
\(214\) 12.6008 + 12.8485i 0.861372 + 0.878307i
\(215\) −21.6168 32.3519i −1.47426 2.20638i
\(216\) −0.470565 2.78901i −0.0320179 0.189768i
\(217\) −0.398223 0.266084i −0.0270332 0.0180630i
\(218\) 1.57686 2.31093i 0.106799 0.156516i
\(219\) −6.59595 2.00086i −0.445713 0.135206i
\(220\) 35.1250 + 15.3570i 2.36812 + 1.03537i
\(221\) 2.18827 + 2.66641i 0.147199 + 0.179362i
\(222\) −7.45449 + 2.18229i −0.500313 + 0.146465i
\(223\) 13.9388 + 13.9388i 0.933413 + 0.933413i 0.997917 0.0645041i \(-0.0205466\pi\)
−0.0645041 + 0.997917i \(0.520547\pi\)
\(224\) −1.59745 + 0.756353i −0.106734 + 0.0505360i
\(225\) −4.85644 + 4.85644i −0.323763 + 0.323763i
\(226\) 3.98646 7.28663i 0.265175 0.484699i
\(227\) −14.9210 + 12.2453i −0.990340 + 0.812751i −0.982319 0.187217i \(-0.940053\pi\)
−0.00802138 + 0.999968i \(0.502553\pi\)
\(228\) −0.188611 + 9.68683i −0.0124910 + 0.641526i
\(229\) 5.32186 17.5438i 0.351679 1.15933i −0.585557 0.810631i \(-0.699124\pi\)
0.937235 0.348697i \(-0.113376\pi\)
\(230\) −11.7763 + 2.22350i −0.776504 + 0.146613i
\(231\) 0.965816 1.44545i 0.0635460 0.0951034i
\(232\) −3.62230 + 8.07007i −0.237815 + 0.529826i
\(233\) 24.5253 16.3873i 1.60670 1.07357i 0.660095 0.751182i \(-0.270516\pi\)
0.946609 0.322384i \(-0.104484\pi\)
\(234\) −2.40211 0.0233833i −0.157031 0.00152862i
\(235\) 27.1264 2.67172i 1.76953 0.174284i
\(236\) 1.13704 0.320883i 0.0740151 0.0208877i
\(237\) 3.16149 + 10.4220i 0.205361 + 0.676985i
\(238\) 0.415257 + 0.795420i 0.0269171 + 0.0515594i
\(239\) −2.47822 + 5.98294i −0.160303 + 0.387005i −0.983539 0.180693i \(-0.942166\pi\)
0.823237 + 0.567698i \(0.192166\pi\)
\(240\) 0.536413 13.7696i 0.0346253 0.888822i
\(241\) 3.95964 + 9.55942i 0.255063 + 0.615776i 0.998599 0.0529199i \(-0.0168528\pi\)
−0.743536 + 0.668696i \(0.766853\pi\)
\(242\) 18.1164 21.6418i 1.16457 1.39119i
\(243\) 0.471397 0.881921i 0.0302401 0.0565753i
\(244\) −9.27484 + 28.5612i −0.593761 + 1.82844i
\(245\) −15.0851 + 18.3812i −0.963749 + 1.17433i
\(246\) 12.4434 + 5.29673i 0.793364 + 0.337707i
\(247\) 8.07062 + 1.60535i 0.513521 + 0.102146i
\(248\) −1.37917 + 4.11040i −0.0875771 + 0.261011i
\(249\) 0.689878 + 3.46825i 0.0437192 + 0.219791i
\(250\) −7.61609 + 4.98236i −0.481684 + 0.315112i
\(251\) −1.31105 + 0.700770i −0.0827526 + 0.0442322i −0.512254 0.858834i \(-0.671189\pi\)
0.429501 + 0.903066i \(0.358689\pi\)
\(252\) −0.610396 0.133818i −0.0384513 0.00842977i
\(253\) −1.34150 + 13.6205i −0.0843396 + 0.856314i
\(254\) 19.1001 + 23.7410i 1.19844 + 1.48964i
\(255\) −6.99572 −0.438089
\(256\) 10.3993 + 12.1596i 0.649955 + 0.759973i
\(257\) 13.3349 0.831810 0.415905 0.909408i \(-0.363465\pi\)
0.415905 + 0.909408i \(0.363465\pi\)
\(258\) 10.0123 + 12.4451i 0.623340 + 0.774800i
\(259\) −0.168204 + 1.70780i −0.0104517 + 0.106118i
\(260\) −11.4321 2.50628i −0.708987 0.155433i
\(261\) −2.75816 + 1.47427i −0.170726 + 0.0912548i
\(262\) −19.5500 + 12.7894i −1.20780 + 0.790131i
\(263\) −2.65226 13.3338i −0.163546 0.822199i −0.972243 0.233974i \(-0.924827\pi\)
0.808697 0.588225i \(-0.200173\pi\)
\(264\) −14.9197 5.00601i −0.918243 0.308099i
\(265\) −5.01911 0.998363i −0.308322 0.0613290i
\(266\) 1.96954 + 0.838362i 0.120760 + 0.0514033i
\(267\) 6.94769 8.46578i 0.425191 0.518097i
\(268\) 6.67491 20.5549i 0.407735 1.25559i
\(269\) 12.5975 23.5683i 0.768085 1.43699i −0.127381 0.991854i \(-0.540657\pi\)
0.895465 0.445131i \(-0.146843\pi\)
\(270\) 3.12726 3.73582i 0.190319 0.227355i
\(271\) 2.20593 + 5.32559i 0.134001 + 0.323507i 0.976610 0.215019i \(-0.0689814\pi\)
−0.842609 + 0.538526i \(0.818981\pi\)
\(272\) 5.96288 5.51571i 0.361553 0.334439i
\(273\) −0.203102 + 0.490331i −0.0122923 + 0.0296762i
\(274\) −14.4957 27.7663i −0.875715 1.67742i
\(275\) 11.0927 + 36.5677i 0.668915 + 2.20512i
\(276\) 4.73478 1.33620i 0.285000 0.0804296i
\(277\) 2.91834 0.287431i 0.175346 0.0172701i −0.00996315 0.999950i \(-0.503171\pi\)
0.185309 + 0.982680i \(0.440671\pi\)
\(278\) −1.45785 0.0141914i −0.0874362 0.000851147i
\(279\) −1.27453 + 0.851616i −0.0763044 + 0.0509849i
\(280\) −2.77749 1.24669i −0.165987 0.0745042i
\(281\) −9.56299 + 14.3120i −0.570480 + 0.853784i −0.998756 0.0498640i \(-0.984121\pi\)
0.428276 + 0.903648i \(0.359121\pi\)
\(282\) −10.9953 + 2.07605i −0.654761 + 0.123627i
\(283\) −6.17113 + 20.3435i −0.366836 + 1.20929i 0.558294 + 0.829643i \(0.311456\pi\)
−0.925130 + 0.379652i \(0.876044\pi\)
\(284\) −0.118102 + 6.06558i −0.00700806 + 0.359926i
\(285\) −12.9006 + 10.5872i −0.764164 + 0.627133i
\(286\) −6.41502 + 11.7257i −0.379328 + 0.693353i
\(287\) 2.11274 2.11274i 0.124711 0.124711i
\(288\) 0.279922 + 5.64992i 0.0164945 + 0.332925i
\(289\) 9.10493 + 9.10493i 0.535584 + 0.535584i
\(290\) −14.6231 + 4.28087i −0.858696 + 0.251381i
\(291\) 1.06149 + 1.29343i 0.0622255 + 0.0758219i
\(292\) 12.6310 + 5.52242i 0.739175 + 0.323175i
\(293\) −13.8648 4.20584i −0.809990 0.245708i −0.141989 0.989868i \(-0.545350\pi\)
−0.668001 + 0.744161i \(0.732850\pi\)
\(294\) 5.50191 8.06316i 0.320878 0.470253i
\(295\) 1.69208 + 1.13061i 0.0985169 + 0.0658269i
\(296\) 15.3182 2.58451i 0.890353 0.150221i
\(297\) −3.09114 4.62622i −0.179366 0.268441i
\(298\) 1.62291 + 1.65482i 0.0940128 + 0.0958611i
\(299\) −0.409553 4.15826i −0.0236851 0.240479i
\(300\) 10.7858 8.50572i 0.622716 0.491078i
\(301\) 3.37694 1.02438i 0.194644 0.0590446i
\(302\) −31.5841 9.91768i −1.81746 0.570698i
\(303\) 14.3665 + 5.95082i 0.825336 + 0.341865i
\(304\) 2.64854 19.1955i 0.151904 1.10094i
\(305\) −47.7883 + 19.7946i −2.73635 + 1.13343i
\(306\) 2.86060 0.253655i 0.163530 0.0145005i
\(307\) 12.2119 + 6.52741i 0.696971 + 0.372539i 0.781520 0.623881i \(-0.214445\pi\)
−0.0845486 + 0.996419i \(0.526945\pi\)
\(308\) −2.25759 + 2.64419i −0.128638 + 0.150667i
\(309\) 5.11879 + 4.20088i 0.291198 + 0.238980i
\(310\) −6.92711 + 2.79062i −0.393433 + 0.158496i
\(311\) 4.07429 20.4828i 0.231032 1.16148i −0.674853 0.737952i \(-0.735793\pi\)
0.905885 0.423524i \(-0.139207\pi\)
\(312\) 4.76553 + 0.610325i 0.269795 + 0.0345528i
\(313\) 27.5256 5.47519i 1.55584 0.309476i 0.659108 0.752049i \(-0.270934\pi\)
0.896733 + 0.442573i \(0.145934\pi\)
\(314\) −21.7955 4.55639i −1.22999 0.257132i
\(315\) −0.507401 0.949281i −0.0285888 0.0534859i
\(316\) −3.83277 21.4422i −0.215610 1.20622i
\(317\) 11.4709 + 1.12979i 0.644271 + 0.0634552i 0.414876 0.909878i \(-0.363825\pi\)
0.229396 + 0.973333i \(0.426325\pi\)
\(318\) 2.08855 + 0.226252i 0.117120 + 0.0126876i
\(319\) 17.4008i 0.974258i
\(320\) −4.29773 + 27.2229i −0.240251 + 1.52180i
\(321\) 12.7253i 0.710254i
\(322\) 0.117062 1.08060i 0.00652358 0.0602197i
\(323\) −9.78995 0.964226i −0.544728 0.0536510i
\(324\) −1.14330 + 1.64099i −0.0635168 + 0.0911663i
\(325\) −5.49944 10.2887i −0.305054 0.570716i
\(326\) 2.35563 11.2682i 0.130466 0.624086i
\(327\) −1.94023 + 0.385936i −0.107295 + 0.0213423i
\(328\) −23.4715 13.4412i −1.29600 0.742169i
\(329\) −0.482292 + 2.42464i −0.0265896 + 0.133675i
\(330\) −10.1292 25.1436i −0.557595 1.38411i
\(331\) 5.06819 + 4.15936i 0.278573 + 0.228619i 0.763296 0.646049i \(-0.223580\pi\)
−0.484723 + 0.874668i \(0.661080\pi\)
\(332\) −0.556068 7.05050i −0.0305182 0.386947i
\(333\) 4.84382 + 2.58908i 0.265440 + 0.141881i
\(334\) 1.24674 + 14.0601i 0.0682184 + 0.769336i
\(335\) 34.3922 14.2457i 1.87905 0.778328i
\(336\) 1.18094 + 0.409074i 0.0644256 + 0.0223168i
\(337\) 23.9316 + 9.91280i 1.30364 + 0.539985i 0.923022 0.384748i \(-0.125712\pi\)
0.380617 + 0.924733i \(0.375712\pi\)
\(338\) −4.28536 + 13.6473i −0.233093 + 0.742314i
\(339\) −5.62021 + 1.70487i −0.305248 + 0.0925960i
\(340\) 13.8947 + 1.64220i 0.753547 + 0.0890609i
\(341\) 0.835964 + 8.48768i 0.0452700 + 0.459634i
\(342\) 4.89126 4.79695i 0.264489 0.259389i
\(343\) −2.41326 3.61169i −0.130304 0.195013i
\(344\) −16.9648 27.0685i −0.914681 1.45944i
\(345\) 7.04604 + 4.70802i 0.379346 + 0.253471i
\(346\) 7.78203 + 5.31008i 0.418365 + 0.285472i
\(347\) 25.9122 + 7.86037i 1.39104 + 0.421967i 0.894896 0.446275i \(-0.147250\pi\)
0.496142 + 0.868242i \(0.334750\pi\)
\(348\) 5.82426 2.28069i 0.312213 0.122258i
\(349\) −0.824480 1.00463i −0.0441334 0.0537767i 0.750476 0.660898i \(-0.229824\pi\)
−0.794609 + 0.607121i \(0.792324\pi\)
\(350\) −0.852632 2.91251i −0.0455751 0.155680i
\(351\) 1.20111 + 1.20111i 0.0641107 + 0.0641107i
\(352\) 28.4580 + 13.4451i 1.51682 + 0.716627i
\(353\) 4.10908 4.10908i 0.218704 0.218704i −0.589248 0.807952i \(-0.700576\pi\)
0.807952 + 0.589248i \(0.200576\pi\)
\(354\) −0.732900 0.400964i −0.0389532 0.0213110i
\(355\) −8.07792 + 6.62938i −0.428731 + 0.351851i
\(356\) −15.7866 + 15.1836i −0.836689 + 0.804729i
\(357\) 0.184180 0.607160i 0.00974783 0.0321343i
\(358\) −5.06837 26.8434i −0.267872 1.41872i
\(359\) −6.21064 + 9.29487i −0.327785 + 0.490565i −0.958360 0.285564i \(-0.907819\pi\)
0.630575 + 0.776128i \(0.282819\pi\)
\(360\) −7.08824 + 6.68589i −0.373583 + 0.352377i
\(361\) −3.71465 + 2.48205i −0.195508 + 0.130634i
\(362\) 0.0519202 5.33364i 0.00272887 0.280330i
\(363\) −19.8610 + 1.95614i −1.04243 + 0.102671i
\(364\) 0.518498 0.926207i 0.0271767 0.0485464i
\(365\) 6.89296 + 22.7231i 0.360794 + 1.18938i
\(366\) 18.8233 9.82688i 0.983908 0.513659i
\(367\) −1.01789 + 2.45739i −0.0531332 + 0.128275i −0.948217 0.317623i \(-0.897115\pi\)
0.895084 + 0.445898i \(0.147115\pi\)
\(368\) −9.71777 + 1.54246i −0.506574 + 0.0804064i
\(369\) −3.65952 8.83487i −0.190507 0.459925i
\(370\) 20.5184 + 17.1760i 1.06670 + 0.892937i
\(371\) 0.218789 0.409325i 0.0113590 0.0212511i
\(372\) 2.73136 1.39227i 0.141614 0.0721859i
\(373\) −5.83989 + 7.11592i −0.302378 + 0.368449i −0.901926 0.431890i \(-0.857847\pi\)
0.599548 + 0.800339i \(0.295347\pi\)
\(374\) 6.25814 14.7021i 0.323601 0.760225i
\(375\) 6.31175 + 1.25548i 0.325937 + 0.0648330i
\(376\) 22.3260 1.54232i 1.15137 0.0795389i
\(377\) −1.03639 5.21029i −0.0533769 0.268344i
\(378\) 0.241900 + 0.369770i 0.0124420 + 0.0190189i
\(379\) 22.2573 11.8968i 1.14328 0.611095i 0.212675 0.977123i \(-0.431782\pi\)
0.930604 + 0.366028i \(0.119282\pi\)
\(380\) 28.1081 17.9998i 1.44191 0.923368i
\(381\) 2.11186 21.4421i 0.108194 1.09851i
\(382\) 3.44643 2.77271i 0.176335 0.141864i
\(383\) 27.9281 1.42706 0.713529 0.700626i \(-0.247096\pi\)
0.713529 + 0.700626i \(0.247096\pi\)
\(384\) 0.770311 11.2875i 0.0393098 0.576010i
\(385\) −5.98887 −0.305221
\(386\) 10.3704 8.34313i 0.527837 0.424654i
\(387\) 1.10705 11.2400i 0.0562743 0.571363i
\(388\) −1.80468 2.81815i −0.0916185 0.143070i
\(389\) 26.7851 14.3169i 1.35806 0.725897i 0.378225 0.925714i \(-0.376535\pi\)
0.979833 + 0.199817i \(0.0640347\pi\)
\(390\) 4.53052 + 6.92540i 0.229412 + 0.350681i
\(391\) 0.974514 + 4.89921i 0.0492833 + 0.247764i
\(392\) −12.8205 + 14.7233i −0.647535 + 0.743640i
\(393\) 16.2018 + 3.22275i 0.817274 + 0.162566i
\(394\) 12.4176 29.1723i 0.625590 1.46968i
\(395\) 23.8022 29.0030i 1.19762 1.45930i
\(396\) 5.05358 + 9.91412i 0.253952 + 0.498203i
\(397\) −7.50956 + 14.0494i −0.376894 + 0.705119i −0.996832 0.0795313i \(-0.974658\pi\)
0.619938 + 0.784651i \(0.287158\pi\)
\(398\) 1.23005 + 1.02967i 0.0616566 + 0.0516128i
\(399\) −0.579227 1.39838i −0.0289976 0.0700065i
\(400\) −23.4191 + 14.3620i −1.17095 + 0.718098i
\(401\) 1.16206 2.80546i 0.0580305 0.140098i −0.892205 0.451631i \(-0.850842\pi\)
0.950235 + 0.311533i \(0.100842\pi\)
\(402\) −13.5467 + 7.07220i −0.675648 + 0.352729i
\(403\) −0.755837 2.49166i −0.0376509 0.124118i
\(404\) −27.1376 15.1918i −1.35014 0.755822i
\(405\) −3.42841 + 0.337669i −0.170359 + 0.0167789i
\(406\) 0.0134515 1.38184i 0.000667589 0.0685798i
\(407\) 25.4088 16.9776i 1.25947 0.841551i
\(408\) −5.74120 0.167705i −0.284232 0.00830265i
\(409\) 7.30195 10.9281i 0.361058 0.540362i −0.605819 0.795602i \(-0.707155\pi\)
0.966878 + 0.255240i \(0.0821546\pi\)
\(410\) −8.64397 45.7808i −0.426895 2.26095i
\(411\) −6.42929 + 21.1945i −0.317134 + 1.04545i
\(412\) −9.18068 9.54529i −0.452300 0.470263i
\(413\) −0.142675 + 0.117090i −0.00702056 + 0.00576162i
\(414\) −3.05188 1.66966i −0.149992 0.0820594i
\(415\) 8.61412 8.61412i 0.422851 0.422851i
\(416\) −9.32191 2.33089i −0.457044 0.114281i
\(417\) 0.728961 + 0.728961i 0.0356974 + 0.0356974i
\(418\) −10.7095 36.5826i −0.523817 1.78931i
\(419\) −3.41666 4.16321i −0.166915 0.203386i 0.682835 0.730573i \(-0.260747\pi\)
−0.849750 + 0.527187i \(0.823247\pi\)
\(420\) 0.784950 + 2.00455i 0.0383016 + 0.0978119i
\(421\) −34.4767 10.4584i −1.68029 0.509711i −0.701171 0.712994i \(-0.747339\pi\)
−0.979120 + 0.203283i \(0.934839\pi\)
\(422\) 12.5568 + 8.56813i 0.611254 + 0.417090i
\(423\) 6.57878 + 4.39580i 0.319871 + 0.213731i
\(424\) −4.09512 0.939651i −0.198876 0.0456335i
\(425\) 7.74845 + 11.5964i 0.375855 + 0.562507i
\(426\) 3.06275 3.00369i 0.148391 0.145529i
\(427\) −0.459827 4.66870i −0.0222526 0.225934i
\(428\) −2.98718 + 25.2746i −0.144391 + 1.22169i
\(429\) 9.04407 2.74349i 0.436652 0.132457i
\(430\) 16.4850 52.4987i 0.794978 2.53171i
\(431\) −14.1731 5.87069i −0.682695 0.282781i 0.0142582 0.999898i \(-0.495461\pi\)
−0.696953 + 0.717117i \(0.745461\pi\)
\(432\) 2.65601 2.99092i 0.127788 0.143901i
\(433\) −10.6169 + 4.39765i −0.510214 + 0.211338i −0.622912 0.782292i \(-0.714051\pi\)
0.112698 + 0.993629i \(0.464051\pi\)
\(434\) −0.0598247 0.674675i −0.00287168 0.0323854i
\(435\) 9.50186 + 5.07885i 0.455579 + 0.243512i
\(436\) 3.94423 0.311079i 0.188895 0.0148980i
\(437\) 9.21147 + 7.55966i 0.440644 + 0.361627i
\(438\) −3.64249 9.04169i −0.174045 0.432029i
\(439\) −5.39591 + 27.1270i −0.257532 + 1.29470i 0.608035 + 0.793910i \(0.291958\pi\)
−0.865567 + 0.500793i \(0.833042\pi\)
\(440\) 14.2161 + 52.3173i 0.677726 + 2.49413i
\(441\) −6.76975 + 1.34659i −0.322369 + 0.0641232i
\(442\) −0.998210 + 4.77494i −0.0474800 + 0.227121i
\(443\) −9.33466 17.4639i −0.443503 0.829736i 0.556496 0.830850i \(-0.312145\pi\)
−0.999999 + 0.00111419i \(0.999645\pi\)
\(444\) −9.01291 6.27942i −0.427734 0.298008i
\(445\) −37.5470 3.69805i −1.77990 0.175305i
\(446\) −3.00242 + 27.7155i −0.142168 + 1.31237i
\(447\) 1.63894i 0.0775193i
\(448\) −2.24953 1.08971i −0.106280 0.0514840i
\(449\) 19.5943i 0.924715i 0.886694 + 0.462357i \(0.152996\pi\)
−0.886694 + 0.462357i \(0.847004\pi\)
\(450\) −9.65638 1.04607i −0.455206 0.0493124i
\(451\) −52.9504 5.21516i −2.49334 0.245572i
\(452\) 11.5629 2.06687i 0.543875 0.0972172i
\(453\) 11.0347 + 20.6445i 0.518455 + 0.969962i
\(454\) −26.7201 5.58589i −1.25404 0.262159i
\(455\) 1.79324 0.356697i 0.0840682 0.0167222i
\(456\) −10.8410 + 8.37939i −0.507674 + 0.392401i
\(457\) −2.00972 + 10.1035i −0.0940105 + 0.472623i 0.904886 + 0.425654i \(0.139956\pi\)
−0.998896 + 0.0469685i \(0.985044\pi\)
\(458\) 24.0490 9.68825i 1.12374 0.452702i
\(459\) −1.56974 1.28825i −0.0732693 0.0601305i
\(460\) −12.8895 11.0050i −0.600976 0.513109i
\(461\) 21.2868 + 11.3780i 0.991426 + 0.529928i 0.885596 0.464456i \(-0.153750\pi\)
0.105830 + 0.994384i \(0.466250\pi\)
\(462\) 2.44889 0.217148i 0.113933 0.0101026i
\(463\) −20.2481 + 8.38704i −0.941009 + 0.389779i −0.799844 0.600207i \(-0.795085\pi\)
−0.141165 + 0.989986i \(0.545085\pi\)
\(464\) −12.1034 + 3.16264i −0.561886 + 0.146822i
\(465\) 4.87877 + 2.02085i 0.226247 + 0.0937147i
\(466\) 39.7981 + 12.4969i 1.84361 + 0.578910i
\(467\) 25.3118 7.67826i 1.17129 0.355307i 0.356071 0.934459i \(-0.384116\pi\)
0.815220 + 0.579152i \(0.196616\pi\)
\(468\) −2.10367 2.66758i −0.0972421 0.123309i
\(469\) 0.330928 + 3.35996i 0.0152808 + 0.155149i
\(470\) 26.9910 + 27.5217i 1.24500 + 1.26948i
\(471\) 8.74742 + 13.0914i 0.403060 + 0.603222i
\(472\) 1.36154 + 0.968428i 0.0626701 + 0.0445755i
\(473\) −52.2505 34.9127i −2.40248 1.60529i
\(474\) −8.68126 + 12.7226i −0.398744 + 0.584367i
\(475\) 31.8384 + 9.65809i 1.46085 + 0.443143i
\(476\) −0.508341 + 1.16269i −0.0232998 + 0.0532919i
\(477\) −0.942371 1.14828i −0.0431482 0.0525762i
\(478\) −8.78941 + 2.57308i −0.402018 + 0.117690i
\(479\) 4.96815 + 4.96815i 0.227001 + 0.227001i 0.811438 0.584438i \(-0.198685\pi\)
−0.584438 + 0.811438i \(0.698685\pi\)
\(480\) 15.6480 11.6154i 0.714229 0.530170i
\(481\) −6.59693 + 6.59693i −0.300794 + 0.300794i
\(482\) −7.02320 + 12.8373i −0.319898 + 0.584724i
\(483\) −0.594115 + 0.487577i −0.0270331 + 0.0221855i
\(484\) 39.9067 + 0.777016i 1.81394 + 0.0353189i
\(485\) 1.67328 5.51608i 0.0759799 0.250472i
\(486\) 1.38966 0.262385i 0.0630362 0.0119020i
\(487\) −4.96578 + 7.43181i −0.225021 + 0.336768i −0.926752 0.375675i \(-0.877411\pi\)
0.701731 + 0.712442i \(0.252411\pi\)
\(488\) −39.6931 + 15.0993i −1.79682 + 0.683512i
\(489\) −6.76819 + 4.52236i −0.306068 + 0.204508i
\(490\) −33.6266 0.327338i −1.51909 0.0147876i
\(491\) 27.8224 2.74026i 1.25561 0.123666i 0.551750 0.834009i \(-0.313960\pi\)
0.703856 + 0.710343i \(0.251460\pi\)
\(492\) 5.19453 + 18.4067i 0.234187 + 0.829837i
\(493\) 1.84356 + 6.07739i 0.0830296 + 0.273712i
\(494\) 5.38557 + 10.3160i 0.242308 + 0.464138i
\(495\) −7.33516 + 17.7086i −0.329691 + 0.795944i
\(496\) −5.75179 + 2.12412i −0.258263 + 0.0953760i
\(497\) −0.362693 0.875619i −0.0162690 0.0392769i
\(498\) −3.21004 + 3.83471i −0.143845 + 0.171838i
\(499\) 13.4112 25.0905i 0.600366 1.12321i −0.379808 0.925065i \(-0.624010\pi\)
0.980174 0.198140i \(-0.0634900\pi\)
\(500\) −12.2415 3.97526i −0.547458 0.177779i
\(501\) 6.33189 7.71543i 0.282888 0.344700i
\(502\) −1.93439 0.823401i −0.0863360 0.0367502i
\(503\) 10.8294 + 2.15410i 0.482858 + 0.0960464i 0.430516 0.902583i \(-0.358332\pi\)
0.0523417 + 0.998629i \(0.483332\pi\)
\(504\) −0.393654 0.791213i −0.0175347 0.0352434i
\(505\) −10.4511 52.5412i −0.465068 2.33805i
\(506\) −16.1974 + 10.5962i −0.720064 + 0.471058i
\(507\) 8.92033 4.76802i 0.396166 0.211755i
\(508\) −9.22794 + 42.0921i −0.409424 + 1.86753i
\(509\) −0.445462 + 4.52285i −0.0197448 + 0.200472i 0.980252 + 0.197755i \(0.0633649\pi\)
−0.999996 + 0.00271731i \(0.999135\pi\)
\(510\) −6.20159 7.70846i −0.274611 0.341337i
\(511\) −2.15361 −0.0952702
\(512\) −4.17964 + 22.2380i −0.184716 + 0.982792i
\(513\) −4.84433 −0.213883
\(514\) 11.8212 + 14.6935i 0.521410 + 0.648104i
\(515\) 2.23601 22.7026i 0.0985302 1.00039i
\(516\) −4.83732 + 22.0648i −0.212951 + 0.971349i
\(517\) 38.8248 20.7523i 1.70751 0.912684i
\(518\) −2.03091 + 1.32860i −0.0892329 + 0.0583752i
\(519\) −1.29964 6.53371i −0.0570477 0.286798i
\(520\) −7.37272 14.8186i −0.323315 0.649837i
\(521\) −30.7751 6.12155i −1.34828 0.268190i −0.532442 0.846466i \(-0.678726\pi\)
−0.815841 + 0.578276i \(0.803726\pi\)
\(522\) −4.06953 1.73225i −0.178119 0.0758187i
\(523\) 5.97612 7.28193i 0.261318 0.318416i −0.625779 0.780001i \(-0.715219\pi\)
0.887096 + 0.461584i \(0.152719\pi\)
\(524\) −31.4232 10.2042i −1.37273 0.445773i
\(525\) −1.01157 + 1.89251i −0.0441484 + 0.0825959i
\(526\) 12.3411 14.7427i 0.538099 0.642813i
\(527\) 1.19121 + 2.87583i 0.0518898 + 0.125273i
\(528\) −7.71002 20.8775i −0.335535 0.908576i
\(529\) −6.48615 + 15.6589i −0.282006 + 0.680823i
\(530\) −3.34928 6.41551i −0.145483 0.278672i
\(531\) 0.171479 + 0.565289i 0.00744154 + 0.0245315i
\(532\) 0.822187 + 2.91340i 0.0356463 + 0.126312i
\(533\) 16.1654 1.59216i 0.700203 0.0689640i
\(534\) 15.4873 + 0.150761i 0.670201 + 0.00652407i
\(535\) −36.4504 + 24.3554i −1.57589 + 1.05297i
\(536\) 28.5663 10.8666i 1.23388 0.469367i
\(537\) −10.7317 + 16.0611i −0.463107 + 0.693088i
\(538\) 37.1370 7.01193i 1.60109 0.302306i
\(539\) −11.1482 + 36.7505i −0.480185 + 1.58296i
\(540\) 6.88870 + 0.134129i 0.296442 + 0.00577198i
\(541\) −7.46576 + 6.12699i −0.320978 + 0.263420i −0.781059 0.624457i \(-0.785320\pi\)
0.460081 + 0.887877i \(0.347820\pi\)
\(542\) −3.91266 + 7.15173i −0.168063 + 0.307193i
\(543\) −2.66695 + 2.66695i −0.114450 + 0.114450i
\(544\) 11.3637 + 1.68080i 0.487213 + 0.0720639i
\(545\) 4.81896 + 4.81896i 0.206422 + 0.206422i
\(546\) −0.720334 + 0.210876i −0.0308275 + 0.00902467i
\(547\) −14.6906 17.9006i −0.628126 0.765374i 0.357574 0.933885i \(-0.383604\pi\)
−0.985700 + 0.168511i \(0.946104\pi\)
\(548\) 17.7450 40.5869i 0.758029 1.73378i
\(549\) −14.3682 4.35854i −0.613219 0.186018i
\(550\) −30.4599 + 44.6396i −1.29881 + 1.90344i
\(551\) 12.5971 + 8.41710i 0.536653 + 0.358580i
\(552\) 5.66964 + 4.03265i 0.241316 + 0.171641i
\(553\) 1.89052 + 2.82937i 0.0803933 + 0.120317i
\(554\) 2.90377 + 2.96086i 0.123369 + 0.125795i
\(555\) −1.85460 18.8300i −0.0787233 0.799291i
\(556\) −1.27673 1.61896i −0.0541452 0.0686593i
\(557\) 35.6824 10.8241i 1.51191 0.458633i 0.577968 0.816059i \(-0.303846\pi\)
0.933941 + 0.357426i \(0.116346\pi\)
\(558\) −2.06824 0.649443i −0.0875554 0.0274931i
\(559\) 17.7247 + 7.34179i 0.749673 + 0.310525i
\(560\) −1.08849 4.16565i −0.0459972 0.176031i
\(561\) −10.4385 + 4.32377i −0.440714 + 0.182550i
\(562\) −24.2476 + 2.15008i −1.02282 + 0.0906958i
\(563\) 3.31356 + 1.77114i 0.139650 + 0.0746445i 0.539742 0.841831i \(-0.318522\pi\)
−0.400092 + 0.916475i \(0.631022\pi\)
\(564\) −12.0347 10.2752i −0.506753 0.432662i
\(565\) 15.6402 + 12.8356i 0.657989 + 0.539997i
\(566\) −27.8867 + 11.2343i −1.17217 + 0.472213i
\(567\) 0.0609552 0.306443i 0.00255988 0.0128694i
\(568\) −6.78826 + 5.24690i −0.284829 + 0.220155i
\(569\) −28.5480 + 5.67856i −1.19680 + 0.238058i −0.752970 0.658055i \(-0.771379\pi\)
−0.443826 + 0.896113i \(0.646379\pi\)
\(570\) −23.1020 4.82952i −0.967638 0.202286i
\(571\) 7.50330 + 14.0377i 0.314003 + 0.587459i 0.988571 0.150754i \(-0.0481701\pi\)
−0.674568 + 0.738213i \(0.735670\pi\)
\(572\) −18.6071 + 3.32601i −0.778003 + 0.139068i
\(573\) −3.11270 0.306574i −0.130035 0.0128073i
\(574\) 4.20090 + 0.455082i 0.175342 + 0.0189948i
\(575\) 16.8944i 0.704544i
\(576\) −5.97741 + 5.31701i −0.249059 + 0.221542i
\(577\) 32.1764i 1.33952i 0.742577 + 0.669761i \(0.233603\pi\)
−0.742577 + 0.669761i \(0.766397\pi\)
\(578\) −1.96120 + 18.1039i −0.0815750 + 0.753025i
\(579\) −9.36617 0.922487i −0.389245 0.0383372i
\(580\) −17.6801 12.3180i −0.734128 0.511477i
\(581\) 0.520833 + 0.974410i 0.0216078 + 0.0404253i
\(582\) −0.484213 + 2.31623i −0.0200713 + 0.0960110i
\(583\) −8.10620 + 1.61242i −0.335725 + 0.0667798i
\(584\) 5.11214 + 18.8134i 0.211542 + 0.778506i
\(585\) 1.14163 5.73934i 0.0472004 0.237293i
\(586\) −7.65657 19.0058i −0.316290 0.785122i
\(587\) −15.4559 12.6843i −0.637933 0.523538i 0.258901 0.965904i \(-0.416639\pi\)
−0.896835 + 0.442365i \(0.854139\pi\)
\(588\) 13.7620 1.08540i 0.567536 0.0447612i
\(589\) 6.54891 + 3.50046i 0.269843 + 0.144234i
\(590\) 0.254200 + 2.86675i 0.0104653 + 0.118022i
\(591\) −20.7124 + 8.57936i −0.851995 + 0.352908i
\(592\) 16.4272 + 14.5878i 0.675153 + 0.599553i
\(593\) 4.02668 + 1.66791i 0.165356 + 0.0684927i 0.463826 0.885926i \(-0.346476\pi\)
−0.298470 + 0.954419i \(0.596476\pi\)
\(594\) 2.35731 7.50715i 0.0967216 0.308022i
\(595\) −2.09167 + 0.634500i −0.0857500 + 0.0260120i
\(596\) −0.384732 + 3.25523i −0.0157592 + 0.133339i
\(597\) −0.111180 1.12883i −0.00455030 0.0461999i
\(598\) 4.21886 4.13751i 0.172522 0.169195i
\(599\) −15.9120 23.8140i −0.650146 0.973013i −0.999353 0.0359669i \(-0.988549\pi\)
0.349207 0.937046i \(-0.386451\pi\)
\(600\) 18.9337 + 4.34446i 0.772966 + 0.177362i
\(601\) −19.3296 12.9156i −0.788469 0.526838i 0.0949164 0.995485i \(-0.469742\pi\)
−0.883386 + 0.468647i \(0.844742\pi\)
\(602\) 4.12236 + 2.81290i 0.168015 + 0.114645i
\(603\) 10.3405 + 3.13675i 0.421097 + 0.127738i
\(604\) −17.0707 43.5939i −0.694597 1.77381i
\(605\) 43.6160 + 53.1462i 1.77324 + 2.16070i
\(606\) 6.17860 + 21.1056i 0.250989 + 0.857354i
\(607\) −10.5714 10.5714i −0.429078 0.429078i 0.459236 0.888314i \(-0.348123\pi\)
−0.888314 + 0.459236i \(0.848123\pi\)
\(608\) 23.4991 14.0981i 0.953013 0.571754i
\(609\) −0.690955 + 0.690955i −0.0279989 + 0.0279989i
\(610\) −64.1749 35.1096i −2.59836 1.42155i
\(611\) −10.3892 + 8.52621i −0.420303 + 0.344934i
\(612\) 2.81537 + 2.92719i 0.113805 + 0.118324i
\(613\) −0.666110 + 2.19587i −0.0269039 + 0.0886903i −0.969364 0.245628i \(-0.921006\pi\)
0.942460 + 0.334318i \(0.108506\pi\)
\(614\) 3.63323 + 19.2425i 0.146625 + 0.776566i
\(615\) −18.3026 + 27.3918i −0.738033 + 1.10454i
\(616\) −4.91491 0.143569i −0.198027 0.00578454i
\(617\) 14.7954 9.88595i 0.595639 0.397993i −0.220889 0.975299i \(-0.570896\pi\)
0.816528 + 0.577306i \(0.195896\pi\)
\(618\) −0.0911568 + 9.36431i −0.00366686 + 0.376688i
\(619\) −0.383689 + 0.0377900i −0.0154217 + 0.00151891i −0.105725 0.994395i \(-0.533716\pi\)
0.0903033 + 0.995914i \(0.471216\pi\)
\(620\) −9.21570 5.15903i −0.370112 0.207191i
\(621\) 0.714058 + 2.35393i 0.0286542 + 0.0944601i
\(622\) 26.1815 13.6683i 1.04978 0.548050i
\(623\) 1.30947 3.16135i 0.0524629 0.126657i
\(624\) 3.55206 + 5.79210i 0.142196 + 0.231869i
\(625\) 4.65734 + 11.2438i 0.186294 + 0.449753i
\(626\) 30.4340 + 25.4764i 1.21639 + 1.01824i
\(627\) −12.7058 + 23.7708i −0.507419 + 0.949315i
\(628\) −14.3008 28.0553i −0.570663 1.11953i
\(629\) 7.07554 8.62157i 0.282120 0.343765i
\(630\) 0.596193 1.40062i 0.0237529 0.0558020i
\(631\) 13.7185 + 2.72878i 0.546126 + 0.108631i 0.460440 0.887691i \(-0.347692\pi\)
0.0856862 + 0.996322i \(0.472692\pi\)
\(632\) 20.2291 23.2314i 0.804669 0.924095i
\(633\) −2.09704 10.5425i −0.0833499 0.419028i
\(634\) 8.92390 + 13.6412i 0.354413 + 0.541760i
\(635\) −65.4611 + 34.9897i −2.59774 + 1.38852i
\(636\) 1.60216 + 2.50191i 0.0635299 + 0.0992071i
\(637\) 1.14921 11.6681i 0.0455334 0.462308i
\(638\) −19.1737 + 15.4255i −0.759092 + 0.610703i
\(639\) −3.03337 −0.119998
\(640\) −33.8063 + 19.3970i −1.33631 + 0.766735i
\(641\) −22.0554 −0.871134 −0.435567 0.900156i \(-0.643452\pi\)
−0.435567 + 0.900156i \(0.643452\pi\)
\(642\) 14.0217 11.2807i 0.553394 0.445215i
\(643\) 4.74273 48.1537i 0.187035 1.89900i −0.204550 0.978856i \(-0.565573\pi\)
0.391585 0.920142i \(-0.371927\pi\)
\(644\) 1.29447 0.828949i 0.0510093 0.0326652i
\(645\) −34.3149 + 18.3417i −1.35115 + 0.722204i
\(646\) −7.61617 11.6422i −0.299654 0.458054i
\(647\) −1.43690 7.22376i −0.0564902 0.283995i 0.942207 0.335033i \(-0.108747\pi\)
−0.998697 + 0.0510372i \(0.983747\pi\)
\(648\) −2.82170 + 0.194928i −0.110847 + 0.00765751i
\(649\) 3.22359 + 0.641212i 0.126537 + 0.0251698i
\(650\) 6.46181 15.1805i 0.253453 0.595429i
\(651\) −0.303836 + 0.370225i −0.0119083 + 0.0145103i
\(652\) 14.5044 7.39341i 0.568037 0.289548i
\(653\) 20.7155 38.7561i 0.810662 1.51664i −0.0449298 0.998990i \(-0.514306\pi\)
0.855592 0.517651i \(-0.173194\pi\)
\(654\) −2.14524 1.79578i −0.0838854 0.0702206i
\(655\) −21.7781 52.5769i −0.850940 2.05435i
\(656\) −5.99639 37.7783i −0.234120 1.47499i
\(657\) −2.63774 + 6.36807i −0.102908 + 0.248442i
\(658\) −3.09922 + 1.61798i −0.120820 + 0.0630754i
\(659\) 7.96911 + 26.2706i 0.310432 + 1.02336i 0.963869 + 0.266377i \(0.0858266\pi\)
−0.653437 + 0.756981i \(0.726673\pi\)
\(660\) 18.7259 33.4506i 0.728905 1.30206i
\(661\) 27.3706 2.69577i 1.06459 0.104853i 0.449479 0.893291i \(-0.351610\pi\)
0.615115 + 0.788438i \(0.289110\pi\)
\(662\) −0.0902558 + 9.27176i −0.00350789 + 0.360357i
\(663\) 2.86806 1.91638i 0.111386 0.0744259i
\(664\) 7.27588 6.86288i 0.282359 0.266331i
\(665\) −2.89693 + 4.33556i −0.112338 + 0.168126i
\(666\) 1.44111 + 7.63250i 0.0558419 + 0.295753i
\(667\) 2.23318 7.36179i 0.0864689 0.285050i
\(668\) −14.3874 + 13.8378i −0.556665 + 0.535402i
\(669\) 15.2380 12.5055i 0.589134 0.483489i
\(670\) 46.1853 + 25.2676i 1.78429 + 0.976173i
\(671\) −59.0721 + 59.0721i −2.28045 + 2.28045i
\(672\) 0.596133 + 1.66390i 0.0229963 + 0.0641862i
\(673\) −23.4780 23.4780i −0.905011 0.905011i 0.0908536 0.995864i \(-0.471040\pi\)
−0.995864 + 0.0908536i \(0.971040\pi\)
\(674\) 10.2922 + 35.1574i 0.396442 + 1.35421i
\(675\) 4.35704 + 5.30907i 0.167702 + 0.204346i
\(676\) −18.8366 + 7.37613i −0.724485 + 0.283697i
\(677\) 17.9682 + 5.45060i 0.690575 + 0.209484i 0.616017 0.787733i \(-0.288745\pi\)
0.0745583 + 0.997217i \(0.476245\pi\)
\(678\) −6.86080 4.68147i −0.263487 0.179791i
\(679\) 0.434688 + 0.290449i 0.0166818 + 0.0111464i
\(680\) 10.5079 + 16.7662i 0.402961 + 0.642953i
\(681\) 10.7239 + 16.0494i 0.410939 + 0.615014i
\(682\) −8.61136 + 8.44532i −0.329746 + 0.323388i
\(683\) −1.39650 14.1789i −0.0534356 0.542540i −0.984217 0.176965i \(-0.943372\pi\)
0.930782 0.365576i \(-0.119128\pi\)
\(684\) 9.62170 + 1.13718i 0.367895 + 0.0434811i
\(685\) 73.0152 22.1489i 2.78977 0.846267i
\(686\) 1.84035 5.86083i 0.0702649 0.223768i
\(687\) −16.9377 7.01583i −0.646214 0.267671i
\(688\) 14.7873 42.6891i 0.563762 1.62750i
\(689\) 2.33119 0.965610i 0.0888112 0.0367868i
\(690\) 1.05852 + 11.9375i 0.0402972 + 0.454453i
\(691\) −18.9160 10.1108i −0.719598 0.384633i 0.0705836 0.997506i \(-0.477514\pi\)
−0.790182 + 0.612873i \(0.790014\pi\)
\(692\) 1.04756 + 13.2822i 0.0398221 + 0.504913i
\(693\) −1.34382 1.10284i −0.0510475 0.0418936i
\(694\) 14.3095 + 35.5203i 0.543181 + 1.34833i
\(695\) 0.692858 3.48323i 0.0262816 0.132127i
\(696\) 7.67617 + 4.39586i 0.290964 + 0.166625i
\(697\) −19.0459 + 3.78847i −0.721415 + 0.143498i
\(698\) 0.376099 1.79907i 0.0142355 0.0680958i
\(699\) −13.9045 26.0134i −0.525915 0.983918i
\(700\) 2.45341 3.52140i 0.0927300 0.133096i
\(701\) −46.6997 4.59951i −1.76382 0.173721i −0.836495 0.547974i \(-0.815399\pi\)
−0.927327 + 0.374253i \(0.877899\pi\)
\(702\) −0.258719 + 2.38825i −0.00976471 + 0.0901388i
\(703\) 26.6068i 1.00349i
\(704\) 10.4126 + 43.2762i 0.392439 + 1.63103i
\(705\) 27.2576i 1.02658i
\(706\) 8.17036 + 0.885093i 0.307496 + 0.0333109i
\(707\) 4.83522 + 0.476227i 0.181847 + 0.0179104i
\(708\) −0.207889 1.16302i −0.00781293 0.0437089i
\(709\) 13.1928 + 24.6820i 0.495466 + 0.926951i 0.998050 + 0.0624226i \(0.0198826\pi\)
−0.502584 + 0.864528i \(0.667617\pi\)
\(710\) −14.4657 3.02409i −0.542890 0.113492i
\(711\) 10.6817 2.12473i 0.400597 0.0796836i
\(712\) −30.7251 3.93499i −1.15147 0.147470i
\(713\) 0.735614 3.69818i 0.0275490 0.138498i
\(714\) 0.832292 0.335293i 0.0311477 0.0125480i
\(715\) −25.1683 20.6551i −0.941241 0.772457i
\(716\) 25.0853 29.3810i 0.937481 1.09802i
\(717\) 5.71123 + 3.05271i 0.213290 + 0.114006i
\(718\) −15.7475 + 1.39636i −0.587691 + 0.0521117i
\(719\) −33.2563 + 13.7752i −1.24025 + 0.513728i −0.903793 0.427970i \(-0.859229\pi\)
−0.336457 + 0.941699i \(0.609229\pi\)
\(720\) −13.6507 1.88348i −0.508731 0.0701933i
\(721\) 1.91149 + 0.791765i 0.0711876 + 0.0294869i
\(722\) −6.02791 1.89281i −0.224336 0.0704432i
\(723\) 9.90150 3.00359i 0.368241 0.111705i
\(724\) 5.92307 4.67097i 0.220129 0.173595i
\(725\) −2.10535 21.3760i −0.0781907 0.793884i
\(726\) −19.7619 20.1504i −0.733433 0.747853i
\(727\) 18.1985 + 27.2360i 0.674946 + 1.01013i 0.997967 + 0.0637367i \(0.0203018\pi\)
−0.323020 + 0.946392i \(0.604698\pi\)
\(728\) 1.48021 0.249743i 0.0548603 0.00925610i
\(729\) −0.831470 0.555570i −0.0307952 0.0205767i
\(730\) −18.9276 + 27.7389i −0.700544 + 1.02666i
\(731\) −21.9478 6.65780i −0.811770 0.246248i
\(732\) 27.5146 + 12.0297i 1.01697 + 0.444629i
\(733\) −21.3455 26.0096i −0.788415 0.960686i 0.211445 0.977390i \(-0.432183\pi\)
−0.999860 + 0.0167033i \(0.994683\pi\)
\(734\) −3.61010 + 1.05685i −0.133251 + 0.0390090i
\(735\) 16.8141 + 16.8141i 0.620197 + 0.620197i
\(736\) −10.3143 9.34048i −0.380189 0.344294i
\(737\) 42.5129 42.5129i 1.56598 1.56598i
\(738\) 6.49089 11.8643i 0.238933 0.436732i
\(739\) 14.7811 12.1305i 0.543732 0.446229i −0.321998 0.946740i \(-0.604355\pi\)
0.865730 + 0.500511i \(0.166855\pi\)
\(740\) −0.736682 + 37.8351i −0.0270810 + 1.39085i
\(741\) 2.38867 7.87441i 0.0877502 0.289274i
\(742\) 0.644981 0.121780i 0.0236780 0.00447070i
\(743\) −7.91652 + 11.8479i −0.290429 + 0.434658i −0.947779 0.318928i \(-0.896677\pi\)
0.657350 + 0.753585i \(0.271677\pi\)
\(744\) 3.95543 + 1.77541i 0.145013 + 0.0650899i
\(745\) −4.69461 + 3.13684i −0.171997 + 0.114925i
\(746\) −13.0179 0.126722i −0.476619 0.00463964i
\(747\) 3.51917 0.346608i 0.128760 0.0126817i
\(748\) 21.7477 6.13740i 0.795174 0.224405i
\(749\) −1.15416 3.80475i −0.0421721 0.139023i
\(750\) 4.21187 + 8.06778i 0.153796 + 0.294594i
\(751\) −11.5884 + 27.9770i −0.422868 + 1.02089i 0.558629 + 0.829418i \(0.311328\pi\)
−0.981497 + 0.191477i \(0.938672\pi\)
\(752\) 21.4911 + 23.2334i 0.783698 + 0.847233i
\(753\) 0.568890 + 1.37342i 0.0207315 + 0.0500503i
\(754\) 4.82239 5.76082i 0.175621 0.209797i
\(755\) 38.0146 71.1202i 1.38349 2.58833i
\(756\) −0.193003 + 0.594340i −0.00701947 + 0.0216159i
\(757\) −15.5548 + 18.9536i −0.565350 + 0.688880i −0.974705 0.223494i \(-0.928254\pi\)
0.409356 + 0.912375i \(0.365754\pi\)
\(758\) 32.8395 + 13.9786i 1.19279 + 0.507726i
\(759\) 13.4234 + 2.67009i 0.487240 + 0.0969180i
\(760\) 44.7510 + 15.0153i 1.62329 + 0.544663i
\(761\) 3.97875 + 20.0025i 0.144230 + 0.725091i 0.983433 + 0.181273i \(0.0580218\pi\)
−0.839203 + 0.543818i \(0.816978\pi\)
\(762\) 25.4988 16.6811i 0.923725 0.604291i
\(763\) −0.545110 + 0.291367i −0.0197343 + 0.0105482i
\(764\) 6.11040 + 1.33960i 0.221067 + 0.0484649i
\(765\) −0.685700 + 6.96203i −0.0247915 + 0.251713i
\(766\) 24.7578 + 30.7735i 0.894535 + 1.11189i
\(767\) −1.00342 −0.0362316
\(768\) 13.1203 9.15735i 0.473439 0.330437i
\(769\) 44.0643 1.58900 0.794500 0.607264i \(-0.207733\pi\)
0.794500 + 0.607264i \(0.207733\pi\)
\(770\) −5.30904 6.59904i −0.191324 0.237813i
\(771\) 1.30705 13.2707i 0.0470723 0.477933i
\(772\) 18.3863 + 4.03087i 0.661738 + 0.145074i
\(773\) −17.9619 + 9.60085i −0.646045 + 0.345319i −0.761661 0.647976i \(-0.775616\pi\)
0.115616 +