Properties

Label 576.2.bm.a.205.75
Level $576$
Weight $2$
Character 576.205
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bm (of order \(48\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 205.75
Character \(\chi\) \(=\) 576.205
Dual form 576.2.bm.a.517.75

$q$-expansion

\(f(q)\) \(=\) \(q+(1.08644 + 0.905346i) q^{2} +(0.0543260 - 1.73120i) q^{3} +(0.360696 + 1.96721i) q^{4} +(-2.37549 - 2.70873i) q^{5} +(1.62636 - 1.83166i) q^{6} +(0.599302 + 0.0788996i) q^{7} +(-1.38913 + 2.46380i) q^{8} +(-2.99410 - 0.188098i) q^{9} +O(q^{10})\) \(q+(1.08644 + 0.905346i) q^{2} +(0.0543260 - 1.73120i) q^{3} +(0.360696 + 1.96721i) q^{4} +(-2.37549 - 2.70873i) q^{5} +(1.62636 - 1.83166i) q^{6} +(0.599302 + 0.0788996i) q^{7} +(-1.38913 + 2.46380i) q^{8} +(-2.99410 - 0.188098i) q^{9} +(-0.128487 - 5.09351i) q^{10} +(-2.82339 - 5.72527i) q^{11} +(3.42522 - 0.517566i) q^{12} +(0.527748 + 1.55469i) q^{13} +(0.579673 + 0.628295i) q^{14} +(-4.81840 + 3.96529i) q^{15} +(-3.73980 + 1.41913i) q^{16} +(-2.48259 - 2.48259i) q^{17} +(-3.08261 - 2.91505i) q^{18} +(-0.360105 + 1.81037i) q^{19} +(4.47179 - 5.65010i) q^{20} +(0.169149 - 1.03322i) q^{21} +(2.11591 - 8.77629i) q^{22} +(-0.431997 - 3.28134i) q^{23} +(4.18987 + 2.53871i) q^{24} +(-1.04162 + 7.91188i) q^{25} +(-0.834172 + 2.16687i) q^{26} +(-0.488293 + 5.17316i) q^{27} +(0.0609541 + 1.20741i) q^{28} +(7.89106 - 0.517207i) q^{29} +(-8.82485 - 0.0542735i) q^{30} +(2.49879 - 1.44268i) q^{31} +(-5.34786 - 1.84402i) q^{32} +(-10.0650 + 4.57682i) q^{33} +(-0.449578 - 4.94479i) q^{34} +(-1.20992 - 1.81077i) q^{35} +(-0.709931 - 5.95785i) q^{36} +(-1.97845 - 9.94633i) q^{37} +(-2.03024 + 1.64083i) q^{38} +(2.72016 - 0.829176i) q^{39} +(9.97363 - 2.08997i) q^{40} +(0.516405 + 3.92249i) q^{41} +(1.11920 - 0.969396i) q^{42} +(6.04673 - 2.98192i) q^{43} +(10.2444 - 7.61927i) q^{44} +(6.60294 + 8.55702i) q^{45} +(2.50141 - 3.95608i) q^{46} +(1.06439 - 0.285202i) q^{47} +(2.25362 + 6.55143i) q^{48} +(-6.40854 - 1.71716i) q^{49} +(-8.29465 + 7.65274i) q^{50} +(-4.43273 + 4.16299i) q^{51} +(-2.86805 + 1.59896i) q^{52} +(0.409002 - 0.612115i) q^{53} +(-5.21400 + 5.17824i) q^{54} +(-8.80125 + 21.2481i) q^{55} +(-1.02690 + 1.36696i) q^{56} +(3.11454 + 0.721763i) q^{57} +(9.04140 + 6.58222i) q^{58} +(6.59875 + 7.52443i) q^{59} +(-9.53852 - 8.04851i) q^{60} +(-0.876809 - 13.3775i) q^{61} +(4.02090 + 0.694891i) q^{62} +(-1.77953 - 0.348961i) q^{63} +(-4.14064 - 6.84508i) q^{64} +(2.95758 - 5.12269i) q^{65} +(-15.0786 - 4.13984i) q^{66} +(8.66852 + 4.27484i) q^{67} +(3.98831 - 5.77924i) q^{68} +(-5.70412 + 0.569610i) q^{69} +(0.324873 - 3.06268i) q^{70} +(0.0723646 + 0.174704i) q^{71} +(4.62262 - 7.11557i) q^{72} +(-2.42727 + 5.85995i) q^{73} +(6.85541 - 12.5973i) q^{74} +(13.6405 + 2.23307i) q^{75} +(-3.69125 - 0.0554071i) q^{76} +(-1.24034 - 3.65393i) q^{77} +(3.70597 + 1.56183i) q^{78} +(1.21604 + 4.53833i) q^{79} +(12.7279 + 6.75897i) q^{80} +(8.92924 + 1.12637i) q^{81} +(-2.99017 + 4.72907i) q^{82} +(7.35100 + 6.44666i) q^{83} +(2.09358 - 0.0399300i) q^{84} +(-0.827293 + 12.6220i) q^{85} +(9.26907 + 2.23472i) q^{86} +(-0.466698 - 13.6891i) q^{87} +(18.0280 + 0.996858i) q^{88} +(-4.84513 + 2.00692i) q^{89} +(-0.573377 + 15.2746i) q^{90} +(0.193615 + 0.973370i) q^{91} +(6.29925 - 2.03339i) q^{92} +(-2.36181 - 4.40428i) q^{93} +(1.41460 + 0.653786i) q^{94} +(5.75922 - 3.32509i) q^{95} +(-3.48289 + 9.15803i) q^{96} +(-10.5978 - 6.11862i) q^{97} +(-5.40786 - 7.66754i) q^{98} +(7.37659 + 17.6731i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} + O(q^{10}) \) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} - 32q^{10} - 8q^{11} - 16q^{12} - 8q^{13} - 8q^{14} - 16q^{15} - 8q^{16} - 32q^{17} - 16q^{18} - 32q^{19} - 8q^{20} - 16q^{21} - 8q^{22} - 8q^{23} + 64q^{24} - 8q^{25} - 32q^{26} - 16q^{27} - 32q^{28} - 8q^{29} - 96q^{30} - 8q^{32} - 8q^{34} - 32q^{35} - 96q^{36} - 32q^{37} - 8q^{38} - 16q^{39} - 8q^{40} - 8q^{41} + 64q^{42} - 8q^{43} - 32q^{44} - 16q^{45} - 32q^{46} - 8q^{47} - 16q^{48} - 8q^{49} - 8q^{50} - 16q^{51} - 8q^{52} - 32q^{53} - 16q^{54} - 32q^{55} - 8q^{56} - 16q^{57} - 80q^{58} - 8q^{59} - 16q^{60} - 8q^{61} - 64q^{62} - 32q^{63} - 32q^{64} - 16q^{65} - 32q^{66} - 8q^{67} - 8q^{68} - 16q^{69} - 8q^{70} - 32q^{71} - 16q^{72} - 32q^{73} - 8q^{74} - 16q^{75} + 40q^{76} - 8q^{77} - 40q^{78} - 8q^{79} - 160q^{80} - 16q^{81} - 32q^{82} - 8q^{83} - 128q^{84} - 8q^{85} - 216q^{86} - 16q^{87} - 8q^{88} - 32q^{89} - 160q^{90} - 32q^{91} + 144q^{92} - 40q^{93} - 8q^{94} - 152q^{96} - 304q^{98} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(e\left(\frac{15}{16}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.08644 + 0.905346i 0.768228 + 0.640177i
\(3\) 0.0543260 1.73120i 0.0313652 0.999508i
\(4\) 0.360696 + 1.96721i 0.180348 + 0.983603i
\(5\) −2.37549 2.70873i −1.06235 1.21138i −0.976600 0.215063i \(-0.931004\pi\)
−0.0857511 0.996317i \(-0.527329\pi\)
\(6\) 1.62636 1.83166i 0.663957 0.747771i
\(7\) 0.599302 + 0.0788996i 0.226515 + 0.0298212i 0.242929 0.970044i \(-0.421892\pi\)
−0.0164144 + 0.999865i \(0.505225\pi\)
\(8\) −1.38913 + 2.46380i −0.491131 + 0.871086i
\(9\) −2.99410 0.188098i −0.998032 0.0626994i
\(10\) −0.128487 5.09351i −0.0406312 1.61071i
\(11\) −2.82339 5.72527i −0.851284 1.72623i −0.669385 0.742916i \(-0.733442\pi\)
−0.181899 0.983317i \(-0.558224\pi\)
\(12\) 3.42522 0.517566i 0.988776 0.149408i
\(13\) 0.527748 + 1.55469i 0.146371 + 0.431195i 0.995245 0.0973998i \(-0.0310526\pi\)
−0.848874 + 0.528595i \(0.822719\pi\)
\(14\) 0.579673 + 0.628295i 0.154924 + 0.167919i
\(15\) −4.81840 + 3.96529i −1.24410 + 1.02383i
\(16\) −3.73980 + 1.41913i −0.934949 + 0.354782i
\(17\) −2.48259 2.48259i −0.602118 0.602118i 0.338756 0.940874i \(-0.389994\pi\)
−0.940874 + 0.338756i \(0.889994\pi\)
\(18\) −3.08261 2.91505i −0.726578 0.687084i
\(19\) −0.360105 + 1.81037i −0.0826137 + 0.415327i 0.917242 + 0.398331i \(0.130410\pi\)
−0.999856 + 0.0169963i \(0.994590\pi\)
\(20\) 4.47179 5.65010i 0.999923 1.26340i
\(21\) 0.169149 1.03322i 0.0369112 0.225468i
\(22\) 2.11591 8.77629i 0.451114 1.87111i
\(23\) −0.431997 3.28134i −0.0900775 0.684207i −0.975591 0.219594i \(-0.929527\pi\)
0.885514 0.464613i \(-0.153807\pi\)
\(24\) 4.18987 + 2.53871i 0.855253 + 0.518211i
\(25\) −1.04162 + 7.91188i −0.208324 + 1.58238i
\(26\) −0.834172 + 2.16687i −0.163595 + 0.424959i
\(27\) −0.488293 + 5.17316i −0.0939720 + 0.995575i
\(28\) 0.0609541 + 1.20741i 0.0115192 + 0.228179i
\(29\) 7.89106 0.517207i 1.46533 0.0960430i 0.688264 0.725460i \(-0.258373\pi\)
0.777068 + 0.629417i \(0.216706\pi\)
\(30\) −8.82485 0.0542735i −1.61119 0.00990893i
\(31\) 2.49879 1.44268i 0.448796 0.259112i −0.258526 0.966004i \(-0.583237\pi\)
0.707322 + 0.706892i \(0.249903\pi\)
\(32\) −5.34786 1.84402i −0.945377 0.325979i
\(33\) −10.0650 + 4.57682i −1.75208 + 0.796722i
\(34\) −0.449578 4.94479i −0.0771020 0.848025i
\(35\) −1.20992 1.81077i −0.204513 0.306076i
\(36\) −0.709931 5.95785i −0.118322 0.992975i
\(37\) −1.97845 9.94633i −0.325255 1.63517i −0.704382 0.709822i \(-0.748776\pi\)
0.379127 0.925345i \(-0.376224\pi\)
\(38\) −2.03024 + 1.64083i −0.329349 + 0.266178i
\(39\) 2.72016 0.829176i 0.435573 0.132774i
\(40\) 9.97363 2.08997i 1.57697 0.330453i
\(41\) 0.516405 + 3.92249i 0.0806490 + 0.612590i 0.983270 + 0.182154i \(0.0583069\pi\)
−0.902621 + 0.430436i \(0.858360\pi\)
\(42\) 1.11920 0.969396i 0.172696 0.149581i
\(43\) 6.04673 2.98192i 0.922118 0.454738i 0.0816875 0.996658i \(-0.473969\pi\)
0.840430 + 0.541920i \(0.182302\pi\)
\(44\) 10.2444 7.61927i 1.54440 1.14865i
\(45\) 6.60294 + 8.55702i 0.984308 + 1.27560i
\(46\) 2.50141 3.95608i 0.368813 0.583292i
\(47\) 1.06439 0.285202i 0.155257 0.0416010i −0.180353 0.983602i \(-0.557724\pi\)
0.335610 + 0.942001i \(0.391057\pi\)
\(48\) 2.25362 + 6.55143i 0.325282 + 0.945617i
\(49\) −6.40854 1.71716i −0.915506 0.245309i
\(50\) −8.29465 + 7.65274i −1.17304 + 1.08226i
\(51\) −4.43273 + 4.16299i −0.620707 + 0.582936i
\(52\) −2.86805 + 1.59896i −0.397727 + 0.221736i
\(53\) 0.409002 0.612115i 0.0561807 0.0840804i −0.802316 0.596900i \(-0.796399\pi\)
0.858496 + 0.512819i \(0.171399\pi\)
\(54\) −5.21400 + 5.17824i −0.709536 + 0.704670i
\(55\) −8.80125 + 21.2481i −1.18676 + 2.86509i
\(56\) −1.02690 + 1.36696i −0.137225 + 0.182668i
\(57\) 3.11454 + 0.721763i 0.412531 + 0.0955998i
\(58\) 9.04140 + 6.58222i 1.18719 + 0.864288i
\(59\) 6.59875 + 7.52443i 0.859084 + 0.979597i 0.999946 0.0104319i \(-0.00332065\pi\)
−0.140862 + 0.990029i \(0.544987\pi\)
\(60\) −9.53852 8.04851i −1.23142 1.03906i
\(61\) −0.876809 13.3775i −0.112264 1.71282i −0.568272 0.822841i \(-0.692388\pi\)
0.456008 0.889975i \(-0.349279\pi\)
\(62\) 4.02090 + 0.694891i 0.510655 + 0.0882512i
\(63\) −1.77953 0.348961i −0.224199 0.0439649i
\(64\) −4.14064 6.84508i −0.517581 0.855634i
\(65\) 2.95758 5.12269i 0.366843 0.635391i
\(66\) −15.0786 4.13984i −1.85604 0.509580i
\(67\) 8.66852 + 4.27484i 1.05903 + 0.522255i 0.886490 0.462748i \(-0.153136\pi\)
0.172538 + 0.985003i \(0.444803\pi\)
\(68\) 3.98831 5.77924i 0.483654 0.700835i
\(69\) −5.70412 + 0.569610i −0.686695 + 0.0685730i
\(70\) 0.324873 3.06268i 0.0388297 0.366061i
\(71\) 0.0723646 + 0.174704i 0.00858810 + 0.0207335i 0.928115 0.372293i \(-0.121428\pi\)
−0.919527 + 0.393026i \(0.871428\pi\)
\(72\) 4.62262 7.11557i 0.544781 0.838578i
\(73\) −2.42727 + 5.85995i −0.284090 + 0.685855i −0.999923 0.0124172i \(-0.996047\pi\)
0.715833 + 0.698272i \(0.246047\pi\)
\(74\) 6.85541 12.5973i 0.796925 1.46440i
\(75\) 13.6405 + 2.23307i 1.57506 + 0.257853i
\(76\) −3.69125 0.0554071i −0.423416 0.00635563i
\(77\) −1.24034 3.65393i −0.141350 0.416404i
\(78\) 3.70597 + 1.56183i 0.419619 + 0.176843i
\(79\) 1.21604 + 4.53833i 0.136815 + 0.510602i 0.999984 + 0.00568592i \(0.00180989\pi\)
−0.863168 + 0.504916i \(0.831523\pi\)
\(80\) 12.7279 + 6.75897i 1.42302 + 0.755675i
\(81\) 8.92924 + 1.12637i 0.992138 + 0.125152i
\(82\) −2.99017 + 4.72907i −0.330209 + 0.522238i
\(83\) 7.35100 + 6.44666i 0.806877 + 0.707612i 0.959818 0.280623i \(-0.0905411\pi\)
−0.152941 + 0.988235i \(0.548874\pi\)
\(84\) 2.09358 0.0399300i 0.228428 0.00435672i
\(85\) −0.827293 + 12.6220i −0.0897325 + 1.36905i
\(86\) 9.26907 + 2.23472i 0.999509 + 0.240976i
\(87\) −0.466698 13.6891i −0.0500353 1.46762i
\(88\) 18.0280 + 0.996858i 1.92179 + 0.106265i
\(89\) −4.84513 + 2.00692i −0.513583 + 0.212733i −0.624396 0.781108i \(-0.714655\pi\)
0.110813 + 0.993841i \(0.464655\pi\)
\(90\) −0.573377 + 15.2746i −0.0604393 + 1.61009i
\(91\) 0.193615 + 0.973370i 0.0202964 + 0.102037i
\(92\) 6.29925 2.03339i 0.656742 0.211996i
\(93\) −2.36181 4.40428i −0.244908 0.456702i
\(94\) 1.41460 + 0.653786i 0.145905 + 0.0674329i
\(95\) 5.75922 3.32509i 0.590883 0.341147i
\(96\) −3.48289 + 9.15803i −0.355471 + 0.934687i
\(97\) −10.5978 6.11862i −1.07604 0.621251i −0.146214 0.989253i \(-0.546709\pi\)
−0.929825 + 0.368002i \(0.880042\pi\)
\(98\) −5.40786 7.66754i −0.546276 0.774539i
\(99\) 7.37659 + 17.6731i 0.741375 + 1.77621i
\(100\) −15.9400 + 0.804706i −1.59400 + 0.0804706i
\(101\) −7.71721 2.61964i −0.767891 0.260664i −0.0901142 0.995931i \(-0.528723\pi\)
−0.677777 + 0.735267i \(0.737057\pi\)
\(102\) −8.58484 + 0.509678i −0.850026 + 0.0504656i
\(103\) 7.87639 + 6.04377i 0.776084 + 0.595510i 0.919015 0.394222i \(-0.128986\pi\)
−0.142931 + 0.989733i \(0.545653\pi\)
\(104\) −4.56357 0.859404i −0.447495 0.0842715i
\(105\) −3.20053 + 1.99624i −0.312340 + 0.194813i
\(106\) 0.998531 0.294736i 0.0969859 0.0286273i
\(107\) −1.26716 0.846692i −0.122501 0.0818528i 0.492810 0.870137i \(-0.335970\pi\)
−0.615311 + 0.788284i \(0.710970\pi\)
\(108\) −10.3528 + 0.905365i −0.996198 + 0.0871188i
\(109\) 2.07004 10.4068i 0.198274 0.996791i −0.745577 0.666420i \(-0.767826\pi\)
0.943851 0.330372i \(-0.107174\pi\)
\(110\) −28.7989 + 15.1166i −2.74587 + 1.44131i
\(111\) −17.3266 + 2.88474i −1.64456 + 0.273808i
\(112\) −2.35324 + 0.555417i −0.222360 + 0.0524820i
\(113\) 17.9720 + 4.81557i 1.69066 + 0.453011i 0.970560 0.240859i \(-0.0774293\pi\)
0.720100 + 0.693870i \(0.244096\pi\)
\(114\) 2.73031 + 3.60389i 0.255717 + 0.337535i
\(115\) −7.86205 + 8.96495i −0.733140 + 0.835986i
\(116\) 3.86373 + 15.3368i 0.358738 + 1.42398i
\(117\) −1.28769 4.75418i −0.119047 0.439524i
\(118\) 0.356917 + 14.1490i 0.0328569 + 1.30252i
\(119\) −1.29195 1.68370i −0.118433 0.154344i
\(120\) −3.07632 17.3799i −0.280828 1.58656i
\(121\) −18.1108 + 23.6024i −1.64643 + 2.14568i
\(122\) 11.1587 15.3277i 1.01026 1.38770i
\(123\) 6.81866 0.680907i 0.614818 0.0613953i
\(124\) 3.73935 + 4.39527i 0.335803 + 0.394707i
\(125\) 8.92740 5.96510i 0.798491 0.533534i
\(126\) −1.61742 1.99021i −0.144091 0.177302i
\(127\) 10.7518 0.954068 0.477034 0.878885i \(-0.341712\pi\)
0.477034 + 0.878885i \(0.341712\pi\)
\(128\) 1.69861 11.1855i 0.150137 0.988665i
\(129\) −4.83380 10.6301i −0.425592 0.935927i
\(130\) 7.85104 2.88784i 0.688581 0.253281i
\(131\) −8.54248 4.21269i −0.746360 0.368064i 0.0290033 0.999579i \(-0.490767\pi\)
−0.775363 + 0.631515i \(0.782433\pi\)
\(132\) −12.6339 18.1490i −1.09964 1.57967i
\(133\) −0.358649 + 1.05654i −0.0310988 + 0.0916140i
\(134\) 5.54760 + 12.4924i 0.479240 + 1.07918i
\(135\) 15.1726 10.9661i 1.30585 0.943814i
\(136\) 9.56527 2.66798i 0.820215 0.228777i
\(137\) −10.4784 13.6557i −0.895232 1.16669i −0.985314 0.170755i \(-0.945379\pi\)
0.0900813 0.995934i \(-0.471287\pi\)
\(138\) −6.71287 4.54536i −0.571437 0.386927i
\(139\) 2.09699 + 0.137444i 0.177864 + 0.0116578i 0.154075 0.988059i \(-0.450760\pi\)
0.0237892 + 0.999717i \(0.492427\pi\)
\(140\) 3.12574 3.03329i 0.264174 0.256360i
\(141\) −0.435918 1.85816i −0.0367109 0.156486i
\(142\) −0.0795476 + 0.255320i −0.00667548 + 0.0214259i
\(143\) 7.41100 7.41100i 0.619739 0.619739i
\(144\) 11.4643 3.54555i 0.955354 0.295463i
\(145\) −20.1461 20.1461i −1.67304 1.67304i
\(146\) −7.94236 + 4.16895i −0.657314 + 0.345025i
\(147\) −3.32090 + 11.0012i −0.273903 + 0.907362i
\(148\) 18.8529 7.47962i 1.54970 0.614821i
\(149\) 0.119838 1.82837i 0.00981751 0.149786i −0.990136 0.140112i \(-0.955254\pi\)
0.999953 0.00967445i \(-0.00307952\pi\)
\(150\) 12.7978 + 14.7754i 1.04494 + 1.20641i
\(151\) 10.7442 8.24431i 0.874350 0.670913i −0.0708204 0.997489i \(-0.522562\pi\)
0.945171 + 0.326576i \(0.105895\pi\)
\(152\) −3.96016 3.40206i −0.321211 0.275944i
\(153\) 6.96616 + 7.90010i 0.563181 + 0.638685i
\(154\) 1.96052 5.09270i 0.157983 0.410382i
\(155\) −9.84367 3.34147i −0.790662 0.268394i
\(156\) 2.61231 + 5.05203i 0.209152 + 0.404486i
\(157\) −3.74719 + 7.59854i −0.299058 + 0.606430i −0.993592 0.113031i \(-0.963944\pi\)
0.694533 + 0.719460i \(0.255611\pi\)
\(158\) −2.78761 + 6.03155i −0.221770 + 0.479845i
\(159\) −1.03747 0.741317i −0.0822769 0.0587903i
\(160\) 7.70885 + 18.8663i 0.609438 + 1.49151i
\(161\) 2.00060i 0.157669i
\(162\) 8.68131 + 9.30778i 0.682068 + 0.731289i
\(163\) −8.65144 12.9478i −0.677633 1.01415i −0.997768 0.0667774i \(-0.978728\pi\)
0.320135 0.947372i \(-0.396272\pi\)
\(164\) −7.53008 + 2.43070i −0.588000 + 0.189806i
\(165\) 36.3066 + 16.3910i 2.82646 + 1.27604i
\(166\) 2.14995 + 13.6591i 0.166869 + 1.06015i
\(167\) −8.55581 6.56511i −0.662069 0.508023i 0.222200 0.975001i \(-0.428676\pi\)
−0.884269 + 0.466978i \(0.845343\pi\)
\(168\) 2.31069 + 1.85203i 0.178274 + 0.142887i
\(169\) 8.17504 6.27293i 0.628849 0.482533i
\(170\) −12.3261 + 12.9641i −0.945371 + 0.994300i
\(171\) 1.41872 5.35268i 0.108492 0.409330i
\(172\) 8.04708 + 10.8196i 0.613584 + 0.824986i
\(173\) −4.64462 4.07322i −0.353124 0.309681i 0.464345 0.885655i \(-0.346290\pi\)
−0.817469 + 0.575973i \(0.804623\pi\)
\(174\) 11.8863 15.2949i 0.901100 1.15950i
\(175\) −1.24849 + 4.65942i −0.0943768 + 0.352219i
\(176\) 18.6838 + 17.4046i 1.40834 + 1.31192i
\(177\) 13.3848 11.0150i 1.00606 0.827936i
\(178\) −7.08089 2.20613i −0.530735 0.165356i
\(179\) −23.0206 4.57909i −1.72064 0.342257i −0.766646 0.642070i \(-0.778076\pi\)
−0.953998 + 0.299813i \(0.903076\pi\)
\(180\) −14.4518 + 16.0758i −1.07717 + 1.19822i
\(181\) 12.6356 18.9105i 0.939196 1.40561i 0.0252895 0.999680i \(-0.491949\pi\)
0.913906 0.405925i \(-0.133051\pi\)
\(182\) −0.670886 + 1.23280i −0.0497294 + 0.0913809i
\(183\) −23.2068 + 0.791183i −1.71549 + 0.0584859i
\(184\) 8.68467 + 3.49385i 0.640243 + 0.257570i
\(185\) −22.2421 + 28.9865i −1.63527 + 2.13113i
\(186\) 1.42143 6.92323i 0.104225 0.507636i
\(187\) −7.20419 + 21.2228i −0.526822 + 1.55197i
\(188\) 0.944973 + 1.99100i 0.0689192 + 0.145209i
\(189\) −0.700795 + 3.06176i −0.0509753 + 0.222710i
\(190\) 9.26739 + 1.60159i 0.672327 + 0.116191i
\(191\) −4.57425 + 7.92284i −0.330981 + 0.573276i −0.982705 0.185180i \(-0.940713\pi\)
0.651723 + 0.758457i \(0.274046\pi\)
\(192\) −12.0751 + 6.79641i −0.871447 + 0.490489i
\(193\) 7.48600 + 12.9661i 0.538854 + 0.933323i 0.998966 + 0.0454621i \(0.0144760\pi\)
−0.460112 + 0.887861i \(0.652191\pi\)
\(194\) −5.97434 16.2421i −0.428933 1.16612i
\(195\) −8.70771 5.39846i −0.623572 0.386592i
\(196\) 1.06648 13.2263i 0.0761770 0.944736i
\(197\) −2.00507 + 0.398833i −0.142855 + 0.0284157i −0.266000 0.963973i \(-0.585702\pi\)
0.123145 + 0.992389i \(0.460702\pi\)
\(198\) −7.98605 + 25.8791i −0.567544 + 1.83915i
\(199\) 10.0293 + 24.2130i 0.710961 + 1.71641i 0.697586 + 0.716501i \(0.254257\pi\)
0.0133748 + 0.999911i \(0.495743\pi\)
\(200\) −18.0464 13.5570i −1.27607 0.958622i
\(201\) 7.87152 14.7747i 0.555215 1.04213i
\(202\) −6.01259 9.83283i −0.423045 0.691835i
\(203\) 4.76993 + 0.312638i 0.334784 + 0.0219429i
\(204\) −9.78834 7.21852i −0.685321 0.505398i
\(205\) 9.39823 10.7166i 0.656401 0.748482i
\(206\) 3.08551 + 13.6970i 0.214978 + 0.954318i
\(207\) 0.676225 + 9.90591i 0.0470009 + 0.688508i
\(208\) −4.17998 5.06530i −0.289829 0.351215i
\(209\) 11.3816 3.04968i 0.787279 0.210951i
\(210\) −5.28447 0.728803i −0.364663 0.0502922i
\(211\) −9.87157 + 3.35095i −0.679587 + 0.230689i −0.639825 0.768520i \(-0.720993\pi\)
−0.0397619 + 0.999209i \(0.512660\pi\)
\(212\) 1.35168 + 0.583804i 0.0928338 + 0.0400958i
\(213\) 0.306378 0.115787i 0.0209927 0.00793356i
\(214\) −0.610146 2.06710i −0.0417087 0.141304i
\(215\) −22.4411 9.29543i −1.53047 0.633943i
\(216\) −12.0673 8.38924i −0.821078 0.570815i
\(217\) 1.61136 0.667445i 0.109386 0.0453091i
\(218\) 11.6707 9.43225i 0.790442 0.638832i
\(219\) 10.0129 + 4.52043i 0.676607 + 0.305463i
\(220\) −44.9740 9.64977i −3.03214 0.650587i
\(221\) 2.54949 5.16986i 0.171497 0.347762i
\(222\) −21.4359 12.5524i −1.43868 0.842464i
\(223\) −3.19269 1.84330i −0.213799 0.123437i 0.389277 0.921121i \(-0.372725\pi\)
−0.603076 + 0.797684i \(0.706058\pi\)
\(224\) −3.05949 1.52707i −0.204421 0.102031i
\(225\) 4.60692 23.4930i 0.307128 1.56620i
\(226\) 15.1657 + 21.5027i 1.00881 + 1.43034i
\(227\) −10.1575 + 0.665759i −0.674179 + 0.0441880i −0.398648 0.917104i \(-0.630520\pi\)
−0.275531 + 0.961292i \(0.588854\pi\)
\(228\) −0.296452 + 6.38729i −0.0196330 + 0.423008i
\(229\) 2.54037 2.22785i 0.167872 0.147220i −0.571288 0.820750i \(-0.693556\pi\)
0.739160 + 0.673530i \(0.235223\pi\)
\(230\) −16.6580 + 2.62199i −1.09840 + 0.172889i
\(231\) −6.39306 + 1.94877i −0.420632 + 0.128220i
\(232\) −9.68739 + 20.1605i −0.636009 + 1.32360i
\(233\) −12.2699 5.08235i −0.803826 0.332956i −0.0573385 0.998355i \(-0.518261\pi\)
−0.746488 + 0.665399i \(0.768261\pi\)
\(234\) 2.90518 6.33093i 0.189917 0.413866i
\(235\) −3.30098 2.20564i −0.215332 0.143880i
\(236\) −12.4220 + 15.6951i −0.808601 + 1.02167i
\(237\) 7.92281 1.85866i 0.514642 0.120733i
\(238\) 0.120709 2.99890i 0.00782442 0.194390i
\(239\) 3.36085 12.5429i 0.217395 0.811331i −0.767914 0.640553i \(-0.778705\pi\)
0.985310 0.170778i \(-0.0546281\pi\)
\(240\) 12.3926 21.6673i 0.799937 1.39862i
\(241\) 0.614982 + 2.29515i 0.0396145 + 0.147843i 0.982900 0.184138i \(-0.0589495\pi\)
−0.943286 + 0.331982i \(0.892283\pi\)
\(242\) −41.0446 + 9.24605i −2.63845 + 0.594359i
\(243\) 2.43506 15.3971i 0.156209 0.987724i
\(244\) 26.0001 6.55008i 1.66448 0.419326i
\(245\) 10.5721 + 21.4381i 0.675427 + 1.36963i
\(246\) 8.02451 + 5.43349i 0.511624 + 0.346426i
\(247\) −3.00461 + 0.395565i −0.191179 + 0.0251692i
\(248\) 0.0833312 + 8.16059i 0.00529154 + 0.518198i
\(249\) 11.5598 12.3758i 0.732572 0.784286i
\(250\) 15.0995 + 1.60168i 0.954979 + 0.101299i
\(251\) 19.6782 3.91424i 1.24208 0.247064i 0.470042 0.882644i \(-0.344239\pi\)
0.772035 + 0.635580i \(0.219239\pi\)
\(252\) 0.0446090 3.62656i 0.00281010 0.228452i
\(253\) −17.5669 + 11.7378i −1.10442 + 0.737949i
\(254\) 11.6812 + 9.73410i 0.732942 + 0.610772i
\(255\) 21.8063 + 2.11791i 1.36557 + 0.132629i
\(256\) 11.9722 10.6145i 0.748260 0.663406i
\(257\) −3.88692 6.73235i −0.242460 0.419952i 0.718955 0.695057i \(-0.244621\pi\)
−0.961414 + 0.275105i \(0.911287\pi\)
\(258\) 4.37229 15.9252i 0.272207 0.991459i
\(259\) −0.400926 6.11695i −0.0249123 0.380089i
\(260\) 11.1442 + 3.97044i 0.691132 + 0.246236i
\(261\) −23.7239 + 0.0642741i −1.46847 + 0.00397846i
\(262\) −5.46694 12.3107i −0.337749 0.760559i
\(263\) 5.59293 + 0.736323i 0.344875 + 0.0454036i 0.300974 0.953632i \(-0.402688\pi\)
0.0439005 + 0.999036i \(0.486022\pi\)
\(264\) 2.70515 31.1559i 0.166490 1.91751i
\(265\) −2.62963 + 0.346198i −0.161537 + 0.0212667i
\(266\) −1.34619 + 0.823169i −0.0825401 + 0.0504718i
\(267\) 3.21116 + 8.49691i 0.196520 + 0.520003i
\(268\) −5.28279 + 18.5947i −0.322698 + 1.13585i
\(269\) 14.1324 + 2.81110i 0.861666 + 0.171396i 0.606093 0.795394i \(-0.292736\pi\)
0.255573 + 0.966790i \(0.417736\pi\)
\(270\) 26.4123 + 1.82244i 1.60740 + 0.110910i
\(271\) 10.4145 10.4145i 0.632634 0.632634i −0.316094 0.948728i \(-0.602372\pi\)
0.948728 + 0.316094i \(0.102372\pi\)
\(272\) 12.8075 + 5.76128i 0.776570 + 0.349329i
\(273\) 1.69562 0.282307i 0.102623 0.0170860i
\(274\) 0.979021 24.3227i 0.0591448 1.46939i
\(275\) 48.2385 16.3748i 2.90889 0.987436i
\(276\) −3.17799 11.0157i −0.191293 0.663069i
\(277\) −0.934240 + 0.460716i −0.0561331 + 0.0276818i −0.470139 0.882593i \(-0.655796\pi\)
0.414006 + 0.910274i \(0.364129\pi\)
\(278\) 2.15381 + 2.04782i 0.129177 + 0.122820i
\(279\) −7.75299 + 3.84950i −0.464159 + 0.230463i
\(280\) 6.14211 0.465606i 0.367061 0.0278253i
\(281\) 1.65507 12.5715i 0.0987332 0.749953i −0.868433 0.495807i \(-0.834872\pi\)
0.967166 0.254146i \(-0.0817943\pi\)
\(282\) 1.20868 2.41344i 0.0719761 0.143718i
\(283\) −10.9494 + 9.60236i −0.650874 + 0.570801i −0.919814 0.392356i \(-0.871660\pi\)
0.268939 + 0.963157i \(0.413327\pi\)
\(284\) −0.317576 + 0.205371i −0.0188447 + 0.0121865i
\(285\) −5.44351 10.1510i −0.322446 0.601293i
\(286\) 14.7611 1.34207i 0.872844 0.0793585i
\(287\) 2.39150i 0.141166i
\(288\) 15.6652 + 6.52709i 0.923078 + 0.384613i
\(289\) 4.67345i 0.274909i
\(290\) −3.64830 40.1267i −0.214235 2.35632i
\(291\) −11.1683 + 18.0144i −0.654696 + 1.05602i
\(292\) −12.4032 2.66128i −0.725844 0.155740i
\(293\) −2.97196 + 2.60634i −0.173624 + 0.152264i −0.741748 0.670679i \(-0.766003\pi\)
0.568124 + 0.822943i \(0.307669\pi\)
\(294\) −13.5678 + 8.94553i −0.791292 + 0.521714i
\(295\) 4.70637 35.7484i 0.274015 2.08135i
\(296\) 27.2541 + 8.94222i 1.58411 + 0.519756i
\(297\) 30.9964 11.8102i 1.79859 0.685299i
\(298\) 1.78551 1.87792i 0.103432 0.108785i
\(299\) 4.87350 2.40334i 0.281842 0.138989i
\(300\) 0.527149 + 27.6390i 0.0304350 + 1.59574i
\(301\) 3.85909 1.30998i 0.222434 0.0755062i
\(302\) 19.1369 + 0.770283i 1.10120 + 0.0443248i
\(303\) −4.95436 + 13.2177i −0.284621 + 0.759338i
\(304\) −1.22242 7.28144i −0.0701108 0.417619i
\(305\) −34.1532 + 34.1532i −1.95561 + 1.95561i
\(306\) 0.415972 + 14.8898i 0.0237796 + 0.851191i
\(307\) 5.64307 + 1.12248i 0.322067 + 0.0640632i 0.353476 0.935443i \(-0.384999\pi\)
−0.0314091 + 0.999507i \(0.509999\pi\)
\(308\) 6.74064 3.75796i 0.384084 0.214130i
\(309\) 10.8909 13.3073i 0.619559 0.757024i
\(310\) −7.66934 12.5422i −0.435590 0.712351i
\(311\) 12.0691 1.58892i 0.684374 0.0900996i 0.219682 0.975572i \(-0.429498\pi\)
0.464693 + 0.885472i \(0.346165\pi\)
\(312\) −1.73572 + 7.85376i −0.0982658 + 0.444631i
\(313\) −1.24059 0.163326i −0.0701221 0.00923175i 0.0953835 0.995441i \(-0.469592\pi\)
−0.165506 + 0.986209i \(0.552926\pi\)
\(314\) −10.9504 + 4.86285i −0.617967 + 0.274426i
\(315\) 3.28201 + 5.64920i 0.184920 + 0.318297i
\(316\) −8.48921 + 4.02916i −0.477555 + 0.226658i
\(317\) −0.214961 3.27967i −0.0120734 0.184205i −0.999636 0.0269783i \(-0.991411\pi\)
0.987563 0.157226i \(-0.0502552\pi\)
\(318\) −0.456001 1.74467i −0.0255713 0.0978361i
\(319\) −25.2407 43.7181i −1.41321 2.44775i
\(320\) −8.70538 + 27.4763i −0.486646 + 1.53597i
\(321\) −1.53463 + 2.14772i −0.0856548 + 0.119874i
\(322\) 1.81123 2.17353i 0.100936 0.121126i
\(323\) 5.38840 3.60042i 0.299819 0.200333i
\(324\) 1.00494 + 17.9719i 0.0558301 + 0.998440i
\(325\) −12.8503 + 2.55608i −0.712805 + 0.141786i
\(326\) 2.32298 21.8995i 0.128658 1.21290i
\(327\) −17.9038 4.14901i −0.990082 0.229441i
\(328\) −10.3816 4.17652i −0.573227 0.230610i
\(329\) 0.660393 0.0869423i 0.0364086 0.00479329i
\(330\) 24.6053 + 50.6779i 1.35447 + 2.78972i
\(331\) 1.05441 + 2.13814i 0.0579558 + 0.117523i 0.923924 0.382577i \(-0.124963\pi\)
−0.865968 + 0.500100i \(0.833297\pi\)
\(332\) −10.0304 + 16.7862i −0.550491 + 0.921263i
\(333\) 4.05278 + 30.1524i 0.222091 + 1.65234i
\(334\) −3.35167 14.8786i −0.183395 0.814119i
\(335\) −9.01260 33.6355i −0.492411 1.83770i
\(336\) 0.833695 + 4.10409i 0.0454818 + 0.223897i
\(337\) 4.05601 15.1372i 0.220945 0.824578i −0.763044 0.646347i \(-0.776296\pi\)
0.983989 0.178231i \(-0.0570374\pi\)
\(338\) 14.5608 + 0.586092i 0.792005 + 0.0318792i
\(339\) 9.31306 30.8514i 0.505816 1.67562i
\(340\) −25.1286 + 2.92527i −1.36279 + 0.158645i
\(341\) −15.3148 10.2330i −0.829341 0.554148i
\(342\) 6.38738 4.53093i 0.345390 0.245005i
\(343\) −7.61439 3.15398i −0.411138 0.170299i
\(344\) −1.05283 + 19.0402i −0.0567648 + 1.02658i
\(345\) 15.0930 + 14.0978i 0.812580 + 0.759000i
\(346\) −1.35842 8.63029i −0.0730289 0.463967i
\(347\) 18.4499 16.1801i 0.990442 0.868595i −0.000886400 1.00000i \(-0.500282\pi\)
0.991329 + 0.131405i \(0.0419488\pi\)
\(348\) 26.7609 5.85569i 1.43454 0.313898i
\(349\) −6.37180 + 0.417630i −0.341075 + 0.0223552i −0.234978 0.972001i \(-0.575502\pi\)
−0.106096 + 0.994356i \(0.533835\pi\)
\(350\) −5.57480 + 3.93186i −0.297985 + 0.210167i
\(351\) −8.30038 + 1.97098i −0.443041 + 0.105203i
\(352\) 4.54160 + 35.8243i 0.242068 + 1.90944i
\(353\) −8.93303 5.15749i −0.475457 0.274505i 0.243064 0.970010i \(-0.421847\pi\)
−0.718521 + 0.695505i \(0.755181\pi\)
\(354\) 24.5141 + 0.150763i 1.30291 + 0.00801298i
\(355\) 0.301323 0.611022i 0.0159926 0.0324297i
\(356\) −5.69564 8.80748i −0.301868 0.466796i
\(357\) −2.98500 + 2.14515i −0.157983 + 0.113533i
\(358\) −20.8648 25.8166i −1.10274 1.36445i
\(359\) 31.7049 13.1326i 1.67332 0.693112i 0.674348 0.738414i \(-0.264425\pi\)
0.998973 + 0.0453016i \(0.0144249\pi\)
\(360\) −30.2551 + 4.38154i −1.59459 + 0.230928i
\(361\) 14.4060 + 5.96714i 0.758208 + 0.314060i
\(362\) 30.8483 9.10550i 1.62135 0.478574i
\(363\) 39.8766 + 32.6356i 2.09298 + 1.71292i
\(364\) −1.84498 + 0.731972i −0.0967034 + 0.0383658i
\(365\) 21.6389 7.34543i 1.13263 0.384477i
\(366\) −25.9290 20.1506i −1.35533 1.05329i
\(367\) 21.4613 5.75054i 1.12027 0.300176i 0.349278 0.937019i \(-0.386427\pi\)
0.770993 + 0.636843i \(0.219760\pi\)
\(368\) 6.27222 + 11.6585i 0.326962 + 0.607741i
\(369\) −0.808355 11.8414i −0.0420813 0.616441i
\(370\) −50.4075 + 11.3552i −2.62056 + 0.590329i
\(371\) 0.293411 0.334571i 0.0152331 0.0173701i
\(372\) 7.81222 6.23477i 0.405045 0.323258i
\(373\) −12.8932 0.845067i −0.667586 0.0437559i −0.272158 0.962253i \(-0.587737\pi\)
−0.395428 + 0.918497i \(0.629404\pi\)
\(374\) −27.0409 + 16.5350i −1.39825 + 0.855006i
\(375\) −9.84177 15.7792i −0.508227 0.814832i
\(376\) −0.775891 + 3.01863i −0.0400135 + 0.155674i
\(377\) 4.96859 + 11.9952i 0.255895 + 0.617786i
\(378\) −3.53332 + 2.69195i −0.181734 + 0.138459i
\(379\) −10.1984 + 2.02858i −0.523855 + 0.104201i −0.449932 0.893063i \(-0.648552\pi\)
−0.0739228 + 0.997264i \(0.523552\pi\)
\(380\) 8.61846 + 10.1302i 0.442117 + 0.519669i
\(381\) 0.584103 18.6135i 0.0299245 0.953599i
\(382\) −12.1426 + 4.46639i −0.621267 + 0.228520i
\(383\) −0.386027 0.668618i −0.0197250 0.0341648i 0.855994 0.516985i \(-0.172946\pi\)
−0.875719 + 0.482820i \(0.839612\pi\)
\(384\) −19.2720 3.54829i −0.983470 0.181073i
\(385\) −6.95107 + 12.0396i −0.354259 + 0.613595i
\(386\) −3.60577 + 20.8643i −0.183529 + 1.06197i
\(387\) −18.6654 + 7.79077i −0.948815 + 0.396027i
\(388\) 8.21401 23.0549i 0.417003 1.17044i
\(389\) −9.05378 + 26.6716i −0.459045 + 1.35230i 0.433422 + 0.901191i \(0.357306\pi\)
−0.892467 + 0.451112i \(0.851027\pi\)
\(390\) −4.57292 13.7486i −0.231559 0.696187i
\(391\) −7.07377 + 9.21871i −0.357736 + 0.466210i
\(392\) 13.1330 13.4040i 0.663319 0.677005i
\(393\) −7.75708 + 14.5599i −0.391293 + 0.734449i
\(394\) −2.53947 1.38197i −0.127936 0.0696229i
\(395\) 9.40440 14.0747i 0.473187 0.708174i
\(396\) −32.1059 + 20.8859i −1.61338 + 1.04956i
\(397\) 0.191355 + 0.0380628i 0.00960382 + 0.00191032i 0.199890 0.979818i \(-0.435942\pi\)
−0.190286 + 0.981729i \(0.560942\pi\)
\(398\) −11.0249 + 35.3859i −0.552626 + 1.77374i
\(399\) 1.80960 + 0.678290i 0.0905936 + 0.0339570i
\(400\) −7.33252 31.0670i −0.366626 1.55335i
\(401\) −7.62600 + 28.4606i −0.380824 + 1.42126i 0.463821 + 0.885929i \(0.346478\pi\)
−0.844645 + 0.535326i \(0.820189\pi\)
\(402\) 21.9281 8.92534i 1.09368 0.445155i
\(403\) 3.56165 + 3.12349i 0.177419 + 0.155592i
\(404\) 2.36980 16.1262i 0.117902 0.802310i
\(405\) −18.1603 26.8625i −0.902392 1.33481i
\(406\) 4.89919 + 4.65810i 0.243143 + 0.231178i
\(407\) −51.3595 + 39.4095i −2.54579 + 1.95346i
\(408\) −4.09916 16.7043i −0.202939 0.826987i
\(409\) −7.15125 5.48735i −0.353607 0.271332i 0.416649 0.909068i \(-0.363205\pi\)
−0.770255 + 0.637736i \(0.779871\pi\)
\(410\) 19.9129 3.13430i 0.983426 0.154792i
\(411\) −24.2101 + 17.3984i −1.19419 + 0.858198i
\(412\) −9.04835 + 17.6744i −0.445780 + 0.870758i
\(413\) 3.36097 + 5.03004i 0.165382 + 0.247512i
\(414\) −8.23360 + 11.3744i −0.404659 + 0.559020i
\(415\) 35.2258i 1.72917i
\(416\) 0.0445632 9.28746i 0.00218489 0.455355i
\(417\) 0.351863 3.62283i 0.0172308 0.177411i
\(418\) 15.1264 + 6.99096i 0.739855 + 0.341939i
\(419\) 9.82169 19.9164i 0.479821 0.972981i −0.513553 0.858058i \(-0.671671\pi\)
0.993374 0.114923i \(-0.0366622\pi\)
\(420\) −5.08143 5.57607i −0.247948 0.272084i
\(421\) 26.9661 + 9.15376i 1.31425 + 0.446127i 0.888567 0.458746i \(-0.151701\pi\)
0.425681 + 0.904873i \(0.360035\pi\)
\(422\) −13.7586 5.29660i −0.669759 0.257834i
\(423\) −3.24053 + 0.653713i −0.157560 + 0.0317846i
\(424\) 0.939973 + 1.85801i 0.0456491 + 0.0902327i
\(425\) 22.2279 17.0561i 1.07821 0.827341i
\(426\) 0.437687 + 0.151583i 0.0212060 + 0.00734423i
\(427\) 0.530008 8.08635i 0.0256489 0.391326i
\(428\) 1.20856 2.79817i 0.0584178 0.135255i
\(429\) −12.4273 13.2325i −0.599996 0.638873i
\(430\) −15.9653 30.4159i −0.769917 1.46679i
\(431\) −4.56530 4.56530i −0.219903 0.219903i 0.588555 0.808458i \(-0.299697\pi\)
−0.808458 + 0.588555i \(0.799697\pi\)
\(432\) −5.51525 20.0395i −0.265353 0.964151i
\(433\) −27.1907 + 27.1907i −1.30670 + 1.30670i −0.382924 + 0.923780i \(0.625083\pi\)
−0.923780 + 0.382924i \(0.874917\pi\)
\(434\) 2.35491 + 0.733697i 0.113039 + 0.0352186i
\(435\) −35.9713 + 33.7824i −1.72469 + 1.61974i
\(436\) 21.2190 + 0.318505i 1.01620 + 0.0152536i
\(437\) 6.09600 + 0.399553i 0.291611 + 0.0191132i
\(438\) 6.78580 + 13.9763i 0.324238 + 0.667813i
\(439\) 11.8005 + 15.3787i 0.563206 + 0.733985i 0.984971 0.172721i \(-0.0552557\pi\)
−0.421764 + 0.906705i \(0.638589\pi\)
\(440\) −40.1251 51.2009i −1.91289 2.44091i
\(441\) 18.8648 + 6.34679i 0.898324 + 0.302228i
\(442\) 7.45038 3.30856i 0.354378 0.157372i
\(443\) −4.26885 + 12.5756i −0.202819 + 0.597486i −0.999980 0.00628053i \(-0.998001\pi\)
0.797161 + 0.603767i \(0.206334\pi\)
\(444\) −11.9245 33.0444i −0.565912 1.56822i
\(445\) 16.9458 + 8.35672i 0.803306 + 0.396147i
\(446\) −1.79984 4.89313i −0.0852248 0.231696i
\(447\) −3.15877 0.306792i −0.149405 0.0145107i
\(448\) −1.94142 4.42896i −0.0917236 0.209249i
\(449\) 15.6548 0.738798 0.369399 0.929271i \(-0.379564\pi\)
0.369399 + 0.929271i \(0.379564\pi\)
\(450\) 26.2744 21.3529i 1.23859 1.00658i
\(451\) 20.9993 14.0313i 0.988817 0.660707i
\(452\) −2.99081 + 37.0915i −0.140676 + 1.74464i
\(453\) −13.6889 19.0482i −0.643158 0.894963i
\(454\) −11.6383 8.47277i −0.546211 0.397647i
\(455\) 2.17666 2.83668i 0.102044 0.132986i
\(456\) −6.10478 + 6.67100i −0.285883 + 0.312398i
\(457\) 5.38820 + 7.02204i 0.252049 + 0.328477i 0.902192 0.431335i \(-0.141957\pi\)
−0.650142 + 0.759812i \(0.725291\pi\)
\(458\) 4.77693 0.120501i 0.223211 0.00563065i
\(459\) 14.0551 11.6306i 0.656035 0.542871i
\(460\) −20.4717 12.2326i −0.954499 0.570350i
\(461\) −24.5666 + 28.0129i −1.14418 + 1.30469i −0.198314 + 0.980139i \(0.563546\pi\)
−0.945868 + 0.324551i \(0.894787\pi\)
\(462\) −8.70998 3.67071i −0.405225 0.170777i
\(463\) 32.9039 + 8.81657i 1.52917 + 0.409741i 0.922750 0.385400i \(-0.125937\pi\)
0.606424 + 0.795141i \(0.292603\pi\)
\(464\) −28.7770 + 13.1327i −1.33594 + 0.609668i
\(465\) −6.31952 + 16.8598i −0.293061 + 0.781855i
\(466\) −8.72918 16.6301i −0.404371 0.770377i
\(467\) −6.35442 + 31.9458i −0.294047 + 1.47828i 0.497658 + 0.867373i \(0.334193\pi\)
−0.791705 + 0.610903i \(0.790807\pi\)
\(468\) 8.88798 4.24797i 0.410847 0.196362i
\(469\) 4.85778 + 3.24586i 0.224311 + 0.149880i
\(470\) −1.58944 5.38483i −0.0733154 0.248384i
\(471\) 12.9510 + 6.89992i 0.596751 + 0.317932i
\(472\) −27.7052 + 5.80561i −1.27524 + 0.267225i
\(473\) −34.1445 26.2000i −1.56997 1.20468i
\(474\) 10.2904 + 5.15357i 0.472653 + 0.236711i
\(475\) −13.9483 4.73482i −0.639993 0.217248i
\(476\) 2.84618 3.14883i 0.130455 0.144326i
\(477\) −1.33973 + 1.75580i −0.0613420 + 0.0803925i
\(478\) 15.0070 10.5843i 0.686404 0.484115i
\(479\) −2.35163 1.35772i −0.107449 0.0620356i 0.445313 0.895375i \(-0.353093\pi\)
−0.552761 + 0.833340i \(0.686426\pi\)
\(480\) 33.0802 12.3206i 1.50990 0.562356i
\(481\) 14.4194 8.32503i 0.657467 0.379589i
\(482\) −1.40976 + 3.05031i −0.0642129 + 0.138938i
\(483\) −3.46343 0.108685i −0.157592 0.00494532i
\(484\) −52.9633 27.1143i −2.40742 1.23247i
\(485\) 8.60120 + 43.2411i 0.390560 + 1.96348i
\(486\) 16.5852 14.5234i 0.752322 0.658796i
\(487\) −36.0842 + 14.9465i −1.63513 + 0.677293i −0.995793 0.0916345i \(-0.970791\pi\)
−0.639336 + 0.768927i \(0.720791\pi\)
\(488\) 34.1776 + 16.4228i 1.54715 + 0.743426i
\(489\) −22.8852 + 14.2740i −1.03490 + 0.645491i
\(490\) −7.92297 + 32.8626i −0.357923 + 1.48458i
\(491\) 0.466291 7.11422i 0.0210434 0.321060i −0.974340 0.225081i \(-0.927735\pi\)
0.995383 0.0959789i \(-0.0305981\pi\)
\(492\) 3.79895 + 13.1681i 0.171270 + 0.593664i
\(493\) −20.8743 18.3063i −0.940132 0.824473i
\(494\) −3.62245 2.29046i −0.162982 0.103053i
\(495\) 30.3485 61.9634i 1.36407 2.78505i
\(496\) −7.29762 + 8.94142i −0.327673 + 0.401482i
\(497\) 0.0295842 + 0.110410i 0.00132703 + 0.00495255i
\(498\) 23.7634 2.97995i 1.06486 0.133535i
\(499\) 8.64195 + 25.4584i 0.386867 + 1.13967i 0.949716 + 0.313113i \(0.101372\pi\)
−0.562849 + 0.826560i \(0.690295\pi\)
\(500\) 14.9546 + 15.4104i 0.668792 + 0.689176i
\(501\) −11.8303 + 14.4552i −0.528539 + 0.645809i
\(502\) 24.9229 + 13.5630i 1.11236 + 0.605347i
\(503\) −11.2364 + 27.1270i −0.501005 + 1.20953i 0.447933 + 0.894067i \(0.352160\pi\)
−0.948937 + 0.315465i \(0.897840\pi\)
\(504\) 3.33176 3.89965i 0.148408 0.173704i
\(505\) 11.2363 + 27.1267i 0.500007 + 1.20712i
\(506\) −29.7121 3.15170i −1.32086 0.140110i
\(507\) −10.4156 14.4934i −0.462571 0.643674i
\(508\) 3.87813 + 21.1510i 0.172064 + 0.938424i
\(509\) 25.9513 + 12.7978i 1.15027 + 0.567252i 0.914512 0.404559i \(-0.132575\pi\)
0.235761 + 0.971811i \(0.424242\pi\)
\(510\) 21.7738 + 22.0433i 0.964159 + 0.976092i
\(511\) −1.91701 + 3.32037i −0.0848037 + 0.146884i
\(512\) 22.6168 0.693042i 0.999531 0.0306284i
\(513\) −9.18948 2.74687i −0.405726 0.121277i
\(514\) 1.87220 10.8333i 0.0825794 0.477836i
\(515\) −2.33937 35.6919i −0.103085 1.57277i
\(516\) 19.1680 13.3433i 0.843826 0.587406i
\(517\) −4.63804 5.28868i −0.203981 0.232596i
\(518\) 5.10238 7.00867i 0.224186 0.307943i
\(519\) −7.30388 + 7.81947i −0.320605 + 0.343237i
\(520\) 8.51282 + 14.4030i 0.373312 + 0.631612i
\(521\) −2.98459 + 7.20543i −0.130757 + 0.315675i −0.975676 0.219220i \(-0.929649\pi\)
0.844918 + 0.534895i \(0.179649\pi\)
\(522\) −25.8327 21.4085i −1.13067 0.937024i
\(523\) −9.45030 + 14.1434i −0.413233 + 0.618447i −0.978447 0.206498i \(-0.933793\pi\)
0.565214 + 0.824944i \(0.308793\pi\)
\(524\) 5.20598 18.3243i 0.227424 0.800502i
\(525\) 7.99856 + 2.41451i 0.349086 + 0.105378i
\(526\) 5.40974 + 5.86351i 0.235876 + 0.255661i
\(527\) −9.78506 2.62190i −0.426244 0.114212i
\(528\) 31.1458 31.3998i 1.35545 1.36650i
\(529\) 11.6357 3.11778i 0.505901 0.135556i
\(530\) −3.17036 2.00460i −0.137712 0.0870745i
\(531\) −18.3420 23.7701i −0.795973 1.03153i
\(532\) −2.20780 0.324444i −0.0957204 0.0140664i
\(533\) −5.82574 + 2.87294i −0.252341 + 0.124441i
\(534\) −4.20392 + 12.1386i −0.181922 + 0.525288i
\(535\) 0.716678 + 5.44371i 0.0309847 + 0.235352i
\(536\) −22.5740 + 15.4192i −0.975050 + 0.666009i
\(537\) −9.17794 + 39.6045i −0.396057 + 1.70906i
\(538\) 12.8089 + 15.8488i 0.552232 + 0.683290i
\(539\) 8.26259 + 41.5388i 0.355895 + 1.78920i
\(540\) 27.0453 + 25.8922i 1.16385 + 1.11422i
\(541\) −17.1245 25.6286i −0.736239 1.10186i −0.990870 0.134822i \(-0.956954\pi\)
0.254631 0.967038i \(-0.418046\pi\)
\(542\) 20.7434 1.88598i 0.891004 0.0810096i
\(543\) −32.0514 22.9020i −1.37546 0.982821i
\(544\) 8.69862 + 17.8545i 0.372950 + 0.765506i
\(545\) −33.1066 + 19.1141i −1.41813 + 0.818757i
\(546\) 2.09777 + 1.22841i 0.0897762 + 0.0525711i
\(547\) 27.5076 1.80294i 1.17614 0.0770883i 0.535232 0.844705i \(-0.320224\pi\)
0.640909 + 0.767617i \(0.278558\pi\)
\(548\) 23.0841 25.5388i 0.986106 1.09096i
\(549\) 0.108962 + 40.2185i 0.00465040 + 1.71648i
\(550\) 67.2330 + 25.8824i 2.86683 + 1.10363i
\(551\) −1.90527 + 14.4720i −0.0811672 + 0.616526i
\(552\) 6.52035 14.8451i 0.277525 0.631849i
\(553\) 0.370704 + 2.81577i 0.0157639 + 0.119739i
\(554\) −1.43210 0.345271i −0.0608442 0.0146692i
\(555\) 48.9730 + 40.0802i 2.07879 + 1.70131i
\(556\) 0.485995 + 4.17478i 0.0206108 + 0.177050i
\(557\) 1.46802 7.38024i 0.0622020 0.312711i −0.937141 0.348951i \(-0.886538\pi\)
0.999343 + 0.0362400i \(0.0115381\pi\)
\(558\) −11.9083 2.83690i −0.504117 0.120095i
\(559\) 7.82712 + 7.82712i 0.331052 + 0.331052i
\(560\) 7.09456 + 5.05488i 0.299800 + 0.213608i
\(561\) 36.3496 + 13.6248i 1.53468 + 0.575241i
\(562\) 13.1797 12.1597i 0.555952 0.512928i
\(563\) −6.67927 19.6765i −0.281498 0.829265i −0.992075 0.125646i \(-0.959900\pi\)
0.710577 0.703619i \(-0.248434\pi\)
\(564\) 3.49816 1.52777i 0.147299 0.0643308i
\(565\) −29.6481 60.1205i −1.24731 2.52929i
\(566\) −20.5893 + 0.519379i −0.865433 + 0.0218311i
\(567\) 5.26244 + 1.37955i 0.221002 + 0.0579356i
\(568\) −0.530959 0.0643936i −0.0222785 0.00270190i
\(569\) 28.4914 + 3.75097i 1.19442 + 0.157249i 0.701400 0.712768i \(-0.252559\pi\)
0.493023 + 0.870017i \(0.335892\pi\)
\(570\) 3.27612 15.9567i 0.137222 0.668352i
\(571\) 16.3804 + 18.6782i 0.685497 + 0.781660i 0.985022 0.172429i \(-0.0551615\pi\)
−0.299525 + 0.954089i \(0.596828\pi\)
\(572\) 17.2521 + 11.9059i 0.721346 + 0.497809i
\(573\) 13.4675 + 8.34935i 0.562613 + 0.348799i
\(574\) −2.16513 + 2.59822i −0.0903710 + 0.108447i
\(575\) 26.4116 1.10144
\(576\) 11.1099 + 21.2737i 0.462914 + 0.886403i
\(577\) −11.6077 −0.483235 −0.241618 0.970372i \(-0.577678\pi\)
−0.241618 + 0.970372i \(0.577678\pi\)
\(578\) 4.23109 5.07741i 0.175990 0.211192i
\(579\) 22.8536 12.2554i 0.949765 0.509315i
\(580\) 32.3649 46.8981i 1.34388 1.94734i
\(581\) 3.89683 + 4.44348i 0.161668 + 0.184347i
\(582\) −28.4429 + 9.46040i −1.17900 + 0.392146i
\(583\) −4.65929 0.613407i −0.192968 0.0254047i
\(584\) −11.0660 14.1205i −0.457913 0.584312i
\(585\) −9.81886 + 14.7815i −0.405960 + 0.611140i
\(586\) −5.58849 + 0.140973i −0.230858 + 0.00582355i
\(587\) 0.0812292 + 0.164717i 0.00335269 + 0.00679858i 0.898543 0.438886i \(-0.144627\pi\)
−0.895190 + 0.445685i \(0.852960\pi\)
\(588\) −22.8394 2.56482i −0.941881 0.105771i
\(589\) 1.71195 + 5.04324i 0.0705397 + 0.207803i
\(590\) 37.4779 34.5775i 1.54294 1.42354i
\(591\) 0.581532 + 3.49284i 0.0239210 + 0.143676i
\(592\) 21.5141 + 34.3896i 0.884224 + 1.41340i
\(593\) −5.33755 5.33755i −0.219187 0.219187i 0.588969 0.808156i \(-0.299534\pi\)
−0.808156 + 0.588969i \(0.799534\pi\)
\(594\) 44.3680 + 15.2313i 1.82044 + 0.624950i
\(595\) −1.49167 + 7.49914i −0.0611526 + 0.307435i
\(596\) 3.64001 0.423741i 0.149101 0.0173571i
\(597\) 42.4623 16.0474i 1.73787 0.656776i
\(598\) 7.47061 + 1.80112i 0.305496 + 0.0736532i
\(599\) 6.18006 + 46.9422i 0.252510 + 1.91801i 0.377801 + 0.925887i \(0.376680\pi\)
−0.125290 + 0.992120i \(0.539986\pi\)
\(600\) −24.4502 + 30.5054i −0.998174 + 1.24538i
\(601\) −5.18418 + 39.3778i −0.211467 + 1.60625i 0.475602 + 0.879661i \(0.342230\pi\)
−0.687069 + 0.726592i \(0.741103\pi\)
\(602\) 5.37865 + 2.07059i 0.219217 + 0.0843911i
\(603\) −25.1503 14.4298i −1.02420 0.587628i
\(604\) 20.0936 + 18.1624i 0.817599 + 0.739016i
\(605\) 106.955 7.01017i 4.34832 0.285004i
\(606\) −17.3492 + 9.87481i −0.704764 + 0.401137i
\(607\) −1.40029 + 0.808456i −0.0568359 + 0.0328142i −0.528149 0.849152i \(-0.677114\pi\)
0.471313 + 0.881966i \(0.343780\pi\)
\(608\) 5.26414 9.01756i 0.213489 0.365710i
\(609\) 0.800370 8.24071i 0.0324326 0.333931i
\(610\) −68.0258 + 6.18487i −2.75428 + 0.250418i
\(611\) 1.00513 + 1.50429i 0.0406633 + 0.0608569i
\(612\) −13.0285 + 16.5534i −0.526644 + 0.669132i
\(613\) −5.31886 26.7397i −0.214827 1.08001i −0.926154 0.377146i \(-0.876905\pi\)
0.711327 0.702861i \(-0.248095\pi\)
\(614\) 5.11462 + 6.32844i 0.206409 + 0.255395i
\(615\) −18.0420 16.8524i −0.727526 0.679554i
\(616\) 10.7255 + 2.01982i 0.432145 + 0.0813808i
\(617\) −1.36547 10.3718i −0.0549718 0.417552i −0.996700 0.0811766i \(-0.974132\pi\)
0.941728 0.336375i \(-0.109201\pi\)
\(618\) 23.8799 4.59753i 0.960592 0.184940i
\(619\) 16.2335 8.00549i 0.652480 0.321768i −0.0857497 0.996317i \(-0.527329\pi\)
0.738230 + 0.674549i \(0.235662\pi\)
\(620\) 3.02280 20.5698i 0.121398 0.826102i
\(621\) 17.1858 0.632532i 0.689644 0.0253826i
\(622\) 14.5508 + 9.20042i 0.583435 + 0.368903i
\(623\) −3.06204 + 0.820471i −0.122678 + 0.0328715i
\(624\) −8.99612 + 6.96119i −0.360133 + 0.278671i
\(625\) 1.17643 + 0.315223i 0.0470571 + 0.0126089i
\(626\) −1.19995 1.30060i −0.0479598 0.0519826i
\(627\) −4.66129 19.8694i −0.186154 0.793508i
\(628\) −16.2995 4.63072i −0.650421 0.184786i
\(629\) −19.7810 + 29.6044i −0.788721 + 1.18040i
\(630\) −1.54879 + 9.10887i −0.0617051 + 0.362906i
\(631\) −3.01843 + 7.28714i −0.120162 + 0.290097i −0.972503 0.232889i \(-0.925182\pi\)
0.852341 + 0.522986i \(0.175182\pi\)
\(632\) −12.8708 3.30824i −0.511972 0.131595i
\(633\) 5.26487 + 17.2717i 0.209260 + 0.686488i
\(634\) 2.73569 3.75777i 0.108648 0.149240i
\(635\) −25.5408 29.1237i −1.01356 1.15574i
\(636\) 1.08411 2.30831i 0.0429878 0.0915305i
\(637\) −0.712428 10.8696i −0.0282274 0.430668i
\(638\) 12.1576 70.3486i 0.481325 2.78513i
\(639\) −0.183805 0.536691i −0.00727122 0.0212312i
\(640\) −34.3334 + 21.9699i −1.35715 + 0.868437i
\(641\) −8.57017 + 14.8440i −0.338501 + 0.586301i −0.984151 0.177332i \(-0.943253\pi\)
0.645650 + 0.763634i \(0.276587\pi\)
\(642\) −3.61171 + 0.943987i −0.142543 + 0.0372562i
\(643\) −14.0263 6.91699i −0.553142 0.272780i 0.144163 0.989554i \(-0.453951\pi\)
−0.697305 + 0.716774i \(0.745618\pi\)
\(644\) 3.93559 0.721608i 0.155084 0.0284353i
\(645\) −17.3114 + 38.3451i −0.681634 + 1.50984i
\(646\) 9.11379 + 0.966742i 0.358577 + 0.0380359i
\(647\) 13.1701 + 31.7954i 0.517769 + 1.25001i 0.939271 + 0.343177i \(0.111503\pi\)
−0.421502 + 0.906828i \(0.638497\pi\)
\(648\) −15.1790 + 20.4352i −0.596288 + 0.802771i
\(649\) 24.4485 59.0240i 0.959689 2.31689i
\(650\) −16.2752 8.85692i −0.638364 0.347397i
\(651\) −1.06794 2.82584i −0.0418559 0.110753i
\(652\) 22.3504 21.6894i 0.875310 0.849422i
\(653\) 4.01193 + 11.8188i 0.156999 + 0.462504i 0.996758 0.0804551i \(-0.0256374\pi\)
−0.839759 + 0.542959i \(0.817304\pi\)
\(654\) −15.6951 20.7168i −0.613726 0.810090i
\(655\) 8.88156 + 33.1464i 0.347031 + 1.29514i
\(656\) −7.49776 13.9365i −0.292738 0.544128i
\(657\) 8.36973 17.0887i 0.326534 0.666693i
\(658\) 0.796189 + 0.503427i 0.0310387 + 0.0196256i
\(659\) −7.55623 6.62664i −0.294349 0.258137i 0.499415 0.866363i \(-0.333548\pi\)
−0.793764 + 0.608226i \(0.791882\pi\)
\(660\) −19.1489 + 77.3346i −0.745371 + 3.01025i
\(661\) 2.84885 43.4650i 0.110807 1.69059i −0.474876 0.880053i \(-0.657507\pi\)
0.585683 0.810540i \(-0.300826\pi\)
\(662\) −0.790201 + 3.27756i −0.0307120 + 0.127386i
\(663\) −8.81155 4.69454i −0.342212 0.182321i
\(664\) −26.0948 + 9.15618i −1.01267 + 0.355329i
\(665\) 3.71386 1.53833i 0.144017 0.0596539i
\(666\) −22.8953 + 36.4279i −0.887174 + 1.41155i
\(667\) −5.10604 25.6698i −0.197707 0.993939i
\(668\) 9.82887 19.1991i 0.380290 0.742834i
\(669\) −3.36457 + 5.42705i −0.130082 + 0.209822i
\(670\) 20.6601 44.7024i 0.798171 1.72700i
\(671\) −74.1143 + 42.7899i −2.86115 + 1.65189i
\(672\) −2.80987 + 5.21362i −0.108393 + 0.201120i
\(673\) −4.08641 2.35929i −0.157520 0.0909440i 0.419168 0.907909i \(-0.362322\pi\)
−0.576688 + 0.816965i \(0.695655\pi\)
\(674\) 18.1110 12.7736i 0.697611 0.492020i
\(675\) −40.4208 9.25178i −1.55580 0.356101i
\(676\) 15.2888 + 13.8194i 0.588032 + 0.531514i
\(677\) −29.3680 9.96909i −1.12870 0.383143i −0.306236 0.951956i \(-0.599070\pi\)
−0.822467 + 0.568813i \(0.807403\pi\)
\(678\) 38.0493 25.0866i 1.46127 0.963446i
\(679\) −5.86850 4.50306i −0.225212 0.172811i
\(680\) −29.9490 19.5719i −1.14849 0.750549i
\(681\) 0.600743 + 17.6209i 0.0230205 + 0.675233i
\(682\) −7.37414 24.9827i −0.282370 0.956637i
\(683\) −13.4132 8.96240i −0.513241 0.342937i 0.271827 0.962346i \(-0.412372\pi\)
−0.785068 + 0.619409i \(0.787372\pi\)
\(684\) 11.0416 + 0.860213i 0.422184 + 0.0328911i
\(685\) −12.0983 + 60.8223i −0.462252 + 2.32390i
\(686\) −5.41712 10.3203i −0.206826 0.394030i
\(687\) −3.71884 4.51892i −0.141882 0.172407i
\(688\) −18.3818 + 19.7328i −0.700800 + 0.752308i
\(689\) 1.16750 + 0.312831i 0.0444783 + 0.0119179i
\(690\) 3.63422 + 28.9808i 0.138352 + 1.10328i
\(691\) 13.8271 15.7668i 0.526007 0.599796i −0.426434 0.904519i \(-0.640230\pi\)
0.952441 + 0.304722i \(0.0985637\pi\)
\(692\) 6.33757 10.6061i 0.240918 0.403184i
\(693\) 3.02640 + 11.1735i 0.114964 + 0.424447i
\(694\) 34.6933 0.875161i 1.31694 0.0332207i
\(695\) −4.60907 6.00666i −0.174832 0.227846i
\(696\) 34.3755 + 17.8660i 1.30300 + 0.677211i
\(697\) 8.45592 11.0200i 0.320291 0.417411i
\(698\) −7.30066 5.31495i −0.276334 0.201174i
\(699\) −9.46513 + 20.9655i −0.358004 + 0.792988i
\(700\) −9.61636 0.775398i −0.363464 0.0293073i
\(701\) 9.51404 6.35708i 0.359340 0.240103i −0.362774 0.931877i \(-0.618170\pi\)
0.722114 + 0.691774i \(0.243170\pi\)
\(702\) −10.8023 5.37337i −0.407705 0.202805i
\(703\) 18.7190 0.705999
\(704\) −27.4992 + 43.0326i −1.03642 + 1.62185i
\(705\) −3.99774 + 5.59483i −0.150564 + 0.210713i
\(706\) −5.03587 13.6908i −0.189528 0.515259i
\(707\) −4.41825 2.17884i −0.166165 0.0819437i
\(708\) 26.4965 + 22.3575i 0.995801 + 0.840248i
\(709\) −8.26559 + 24.3496i −0.310421 + 0.914470i 0.674014 + 0.738719i \(0.264569\pi\)
−0.984435 + 0.175751i \(0.943765\pi\)
\(710\) 0.880556 0.391036i 0.0330467 0.0146753i
\(711\) −2.78730 13.8169i −0.104532 0.518176i
\(712\) 1.78586 14.7253i 0.0669278 0.551855i
\(713\) −5.81338 7.57615i −0.217713 0.283729i
\(714\) −5.18513 0.371890i −0.194048 0.0139176i
\(715\) −37.6792 2.46962i −1.40912 0.0923586i
\(716\) 0.704557 46.9380i 0.0263305 1.75416i
\(717\) −21.5316 6.49971i −0.804113 0.242736i
\(718\) 46.3350 + 14.4362i 1.72921 + 0.538753i
\(719\) −7.18948 + 7.18948i −0.268122 + 0.268122i −0.828343 0.560221i \(-0.810716\pi\)
0.560221 + 0.828343i \(0.310716\pi\)
\(720\) −36.8371 22.6311i −1.37284 0.843411i
\(721\) 4.24349 + 4.24349i 0.158036 + 0.158036i
\(722\) 10.2488 + 19.5253i 0.381423 + 0.726657i
\(723\) 4.00676 0.939970i 0.149013 0.0349579i
\(724\) 41.7584 + 18.0359i 1.55194 + 0.670297i
\(725\) −4.12739 + 62.9718i −0.153287 + 2.33872i
\(726\) 13.7770 + 71.5587i 0.511311 + 2.65579i
\(727\) 24.2477 18.6060i 0.899299 0.690057i −0.0518940 0.998653i \(-0.516526\pi\)
0.951193 + 0.308596i \(0.0998591\pi\)
\(728\) −2.66715 0.875106i −0.0988511 0.0324336i
\(729\) −26.5231 5.05203i −0.982339 0.187112i
\(730\) 30.1595 + 11.6104i 1.11625 + 0.429719i
\(731\) −22.4145 7.60869i −0.829029 0.281417i
\(732\) −9.92702 45.3671i −0.366913 1.67682i
\(733\) −18.6289 + 37.7756i −0.688072 + 1.39527i 0.219599 + 0.975590i \(0.429525\pi\)
−0.907671 + 0.419683i \(0.862141\pi\)
\(734\) 28.5226 + 13.1823i 1.05279 + 0.486568i
\(735\) 37.6879 17.1378i 1.39014 0.632136i
\(736\) −3.74059 + 18.3448i −0.137880 + 0.676197i
\(737\) 61.6991i 2.27272i
\(738\) 9.84238 13.5968i 0.362303 0.500507i
\(739\) −11.4631 17.1558i −0.421678 0.631086i 0.558430 0.829552i \(-0.311404\pi\)
−0.980108 + 0.198466i \(0.936404\pi\)
\(740\) −65.0450 33.2995i −2.39110 1.22411i
\(741\) 0.521573 + 5.22307i 0.0191605 + 0.191874i
\(742\) 0.621676 0.0978524i 0.0228224 0.00359227i
\(743\) −12.4915 9.58504i −0.458267 0.351641i 0.353685 0.935365i \(-0.384928\pi\)
−0.811952 + 0.583724i \(0.801595\pi\)
\(744\) 14.1321 + 0.299070i 0.518109 + 0.0109644i
\(745\) −5.23724 + 4.01868i −0.191878 + 0.147233i
\(746\) −13.2426 12.5909i −0.484847 0.460987i
\(747\) −20.7970 20.6846i −0.760923 0.756811i
\(748\) −44.3482 6.51712i −1.62153 0.238289i
\(749\) −0.692610 0.607403i −0.0253074 0.0221940i
\(750\) 3.59312 26.0533i 0.131202 0.951332i
\(751\) 11.6792 43.5874i 0.426180 1.59053i −0.335153 0.942164i \(-0.608788\pi\)
0.761333 0.648361i \(-0.224545\pi\)
\(752\) −3.57586 + 2.57710i −0.130398 + 0.0939772i
\(753\) −5.70728 34.2795i −0.207985 1.24921i
\(754\) −5.46177 + 17.5304i −0.198906 + 0.638418i
\(755\) −47.8543 9.51882i −1.74160 0.346425i
\(756\) −6.27588 0.274244i −0.228252 0.00997415i
\(757\) 3.41871 5.11647i 0.124255 0.185961i −0.764127 0.645066i \(-0.776830\pi\)
0.888382 + 0.459105i \(0.151830\pi\)
\(758\) −12.9165 7.02913i −0.469147 0.255309i
\(759\) 19.3661 + 31.0494i 0.702946 + 1.12702i
\(760\) 0.192062 + 18.8085i 0.00696682 + 0.682258i
\(761\) 31.4108 40.9354i 1.13864 1.48391i 0.288404 0.957509i \(-0.406876\pi\)
0.850238 0.526398i \(-0.176458\pi\)
\(762\) 17.4863 19.6936i 0.633460 0.713424i
\(763\) 2.06167 6.07349i 0.0746376 0.219875i
\(764\) −17.2358 6.14076i −0.623568 0.222165i
\(765\) 4.85118 37.6360i 0.175395 1.36073i
\(766\) 0.185936 1.07590i 0.00671816 0.0388738i
\(767\) −8.21572 + 14.2300i −0.296652 + 0.513817i
\(768\) −17.7254 21.3028i −0.639610 0.768700i
\(769\) 10.7369 + 18.5969i 0.387182 + 0.670620i 0.992069 0.125692i \(-0.0401150\pi\)
−0.604887 + 0.796311i \(0.706782\pi\)
\(770\) −18.4519 + 6.78717i −0.664961 + 0.244592i
\(771\) −11.8662 + 6.36329i −0.427350 + 0.229168i
\(772\) −22.8069 + 19.4033i −0.820838 + 0.698342i