Properties

Label 384.2.w.a.11.4
Level $384$
Weight $2$
Character 384.11
Analytic conductor $3.066$
Analytic rank $0$
Dimension $992$
CM no
Inner twists $4$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(992\)
Relative dimension: \(62\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 11.4
Character \(\chi\) \(=\) 384.11
Dual form 384.2.w.a.35.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.39869 - 0.208968i) q^{2} +(-0.339181 + 1.69852i) q^{3} +(1.91266 + 0.584564i) q^{4} +(-0.321371 - 0.171776i) q^{5} +(0.829345 - 2.30482i) q^{6} +(-1.36158 - 0.270834i) q^{7} +(-2.55307 - 1.21731i) q^{8} +(-2.76991 - 1.15221i) q^{9} +O(q^{10})\) \(q+(-1.39869 - 0.208968i) q^{2} +(-0.339181 + 1.69852i) q^{3} +(1.91266 + 0.584564i) q^{4} +(-0.321371 - 0.171776i) q^{5} +(0.829345 - 2.30482i) q^{6} +(-1.36158 - 0.270834i) q^{7} +(-2.55307 - 1.21731i) q^{8} +(-2.76991 - 1.15221i) q^{9} +(0.413602 + 0.307418i) q^{10} +(-0.181039 + 0.148575i) q^{11} +(-1.64163 + 3.05042i) q^{12} +(-2.85114 + 1.52396i) q^{13} +(1.84783 + 0.663339i) q^{14} +(0.400768 - 0.487590i) q^{15} +(3.31657 + 2.23615i) q^{16} +(-5.78209 + 2.39502i) q^{17} +(3.63347 + 2.19041i) q^{18} +(1.97671 - 6.51633i) q^{19} +(-0.514260 - 0.516412i) q^{20} +(0.921837 - 2.22080i) q^{21} +(0.284265 - 0.169979i) q^{22} +(4.20927 + 2.81254i) q^{23} +(2.93357 - 3.92354i) q^{24} +(-2.70408 - 4.04694i) q^{25} +(4.30632 - 1.53576i) q^{26} +(2.89655 - 4.31393i) q^{27} +(-2.44592 - 1.31394i) q^{28} +(-6.21541 - 5.10086i) q^{29} +(-0.662440 + 0.598239i) q^{30} +(-4.89115 + 4.89115i) q^{31} +(-4.17157 - 3.82073i) q^{32} +(-0.190952 - 0.357892i) q^{33} +(8.58783 - 2.14162i) q^{34} +(0.391048 + 0.320925i) q^{35} +(-4.62437 - 3.82298i) q^{36} +(0.879289 + 2.89863i) q^{37} +(-4.12650 + 8.70125i) q^{38} +(-1.62143 - 5.35960i) q^{39} +(0.611377 + 0.829764i) q^{40} +(-0.650342 - 0.434545i) q^{41} +(-1.75344 + 2.91357i) q^{42} +(0.655730 - 6.65774i) q^{43} +(-0.433119 + 0.178345i) q^{44} +(0.692246 + 0.846092i) q^{45} +(-5.29973 - 4.81348i) q^{46} +(-3.86428 + 1.60064i) q^{47} +(-4.92305 + 4.87479i) q^{48} +(-4.68662 - 1.94126i) q^{49} +(2.93648 + 6.22548i) q^{50} +(-2.10680 - 10.6333i) q^{51} +(-6.34412 + 1.24816i) q^{52} +(-3.87295 + 3.17844i) q^{53} +(-4.95285 + 5.42856i) q^{54} +(0.0837023 - 0.0166494i) q^{55} +(3.14651 + 2.34892i) q^{56} +(10.3976 + 5.56768i) q^{57} +(7.62751 + 8.43334i) q^{58} +(0.638190 + 0.341120i) q^{59} +(1.05156 - 0.698322i) q^{60} +(-0.446058 - 4.52890i) q^{61} +(7.86329 - 5.81910i) q^{62} +(3.45939 + 2.31901i) q^{63} +(5.03632 + 6.21575i) q^{64} +1.17805 q^{65} +(0.192294 + 0.540482i) q^{66} +(-3.71202 + 0.365602i) q^{67} +(-12.4592 + 1.20087i) q^{68} +(-6.20486 + 6.19555i) q^{69} +(-0.479891 - 0.530590i) q^{70} +(14.2521 + 2.83492i) q^{71} +(5.66918 + 6.31351i) q^{72} +(0.725080 + 3.64522i) q^{73} +(-0.624131 - 4.23802i) q^{74} +(7.79097 - 3.22027i) q^{75} +(7.58998 - 11.3080i) q^{76} +(0.286738 - 0.153264i) q^{77} +(1.14788 + 7.83524i) q^{78} +(-3.36193 + 8.11643i) q^{79} +(-0.681732 - 1.28834i) q^{80} +(6.34482 + 6.38304i) q^{81} +(0.818821 + 0.743694i) q^{82} +(-2.76955 + 9.12998i) q^{83} +(3.06136 - 3.70877i) q^{84} +(2.26960 + 0.223536i) q^{85} +(-2.30842 + 9.17508i) q^{86} +(10.7720 - 8.82686i) q^{87} +(0.643067 - 0.158941i) q^{88} +(-5.05079 - 7.55905i) q^{89} +(-0.791431 - 1.32808i) q^{90} +(4.29478 - 1.30281i) q^{91} +(6.40681 + 7.84004i) q^{92} +(-6.64870 - 9.96667i) q^{93} +(5.73941 - 1.43128i) q^{94} +(-1.75461 + 1.75461i) q^{95} +(7.90450 - 5.78955i) q^{96} +(8.99316 + 8.99316i) q^{97} +(6.14946 + 3.69458i) q^{98} +(0.672652 - 0.202944i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} + O(q^{10}) \) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} - 32q^{10} - 16q^{12} - 32q^{13} - 16q^{15} - 32q^{16} - 16q^{18} - 32q^{19} - 16q^{21} - 32q^{22} - 16q^{24} - 32q^{25} - 16q^{27} - 32q^{28} - 16q^{30} - 32q^{31} - 16q^{33} - 32q^{34} - 16q^{36} - 32q^{37} - 16q^{39} - 32q^{40} - 16q^{42} - 32q^{43} - 16q^{45} - 32q^{46} - 16q^{48} - 32q^{49} - 16q^{51} - 128q^{52} - 16q^{54} - 32q^{55} - 16q^{57} - 320q^{58} - 16q^{60} - 32q^{61} - 32q^{63} - 224q^{64} - 16q^{66} - 32q^{67} - 16q^{69} - 224q^{70} - 16q^{72} - 32q^{73} - 16q^{75} - 256q^{76} - 16q^{78} - 32q^{79} - 16q^{81} - 32q^{82} - 16q^{84} - 32q^{85} - 16q^{87} - 32q^{88} - 16q^{90} - 32q^{91} - 16q^{93} - 32q^{94} - 16q^{96} - 32q^{97} - 16q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(-1\) \(e\left(\frac{21}{32}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.39869 0.208968i −0.989023 0.147763i
\(3\) −0.339181 + 1.69852i −0.195826 + 0.980639i
\(4\) 1.91266 + 0.584564i 0.956332 + 0.292282i
\(5\) −0.321371 0.171776i −0.143721 0.0768207i 0.397969 0.917399i \(-0.369715\pi\)
−0.541690 + 0.840578i \(0.682215\pi\)
\(6\) 0.829345 2.30482i 0.338579 0.940938i
\(7\) −1.36158 0.270834i −0.514627 0.102366i −0.0690570 0.997613i \(-0.521999\pi\)
−0.445570 + 0.895247i \(0.646999\pi\)
\(8\) −2.55307 1.21731i −0.902646 0.430384i
\(9\) −2.76991 1.15221i −0.923304 0.384070i
\(10\) 0.413602 + 0.307418i 0.130792 + 0.0972141i
\(11\) −0.181039 + 0.148575i −0.0545853 + 0.0447970i −0.661290 0.750130i \(-0.729991\pi\)
0.606705 + 0.794927i \(0.292491\pi\)
\(12\) −1.64163 + 3.05042i −0.473898 + 0.880580i
\(13\) −2.85114 + 1.52396i −0.790763 + 0.422672i −0.816751 0.576991i \(-0.804227\pi\)
0.0259877 + 0.999662i \(0.491727\pi\)
\(14\) 1.84783 + 0.663339i 0.493852 + 0.177285i
\(15\) 0.400768 0.487590i 0.103478 0.125895i
\(16\) 3.31657 + 2.23615i 0.829143 + 0.559037i
\(17\) −5.78209 + 2.39502i −1.40236 + 0.580878i −0.950364 0.311141i \(-0.899289\pi\)
−0.451999 + 0.892019i \(0.649289\pi\)
\(18\) 3.63347 + 2.19041i 0.856417 + 0.516284i
\(19\) 1.97671 6.51633i 0.453487 1.49495i −0.370766 0.928726i \(-0.620905\pi\)
0.824253 0.566221i \(-0.191595\pi\)
\(20\) −0.514260 0.516412i −0.114992 0.115473i
\(21\) 0.921837 2.22080i 0.201161 0.484617i
\(22\) 0.284265 0.169979i 0.0606055 0.0362396i
\(23\) 4.20927 + 2.81254i 0.877694 + 0.586456i 0.910732 0.412998i \(-0.135518\pi\)
−0.0330384 + 0.999454i \(0.510518\pi\)
\(24\) 2.93357 3.92354i 0.598813 0.800889i
\(25\) −2.70408 4.04694i −0.540816 0.809388i
\(26\) 4.30632 1.53576i 0.844538 0.301186i
\(27\) 2.89655 4.31393i 0.557441 0.830216i
\(28\) −2.44592 1.31394i −0.462235 0.248312i
\(29\) −6.21541 5.10086i −1.15417 0.947205i −0.155002 0.987914i \(-0.549538\pi\)
−0.999171 + 0.0407087i \(0.987038\pi\)
\(30\) −0.662440 + 0.598239i −0.120945 + 0.109223i
\(31\) −4.89115 + 4.89115i −0.878476 + 0.878476i −0.993377 0.114901i \(-0.963345\pi\)
0.114901 + 0.993377i \(0.463345\pi\)
\(32\) −4.17157 3.82073i −0.737436 0.675417i
\(33\) −0.190952 0.357892i −0.0332404 0.0623009i
\(34\) 8.58783 2.14162i 1.47280 0.367284i
\(35\) 0.391048 + 0.320925i 0.0660991 + 0.0542462i
\(36\) −4.62437 3.82298i −0.770729 0.637163i
\(37\) 0.879289 + 2.89863i 0.144554 + 0.476531i 0.999080 0.0428770i \(-0.0136524\pi\)
−0.854526 + 0.519408i \(0.826152\pi\)
\(38\) −4.12650 + 8.70125i −0.669407 + 1.41153i
\(39\) −1.62143 5.35960i −0.259636 0.858223i
\(40\) 0.611377 + 0.829764i 0.0966672 + 0.131197i
\(41\) −0.650342 0.434545i −0.101566 0.0678645i 0.503750 0.863850i \(-0.331953\pi\)
−0.605316 + 0.795985i \(0.706953\pi\)
\(42\) −1.75344 + 2.91357i −0.270562 + 0.449574i
\(43\) 0.655730 6.65774i 0.0999978 1.01530i −0.805972 0.591953i \(-0.798357\pi\)
0.905970 0.423342i \(-0.139143\pi\)
\(44\) −0.433119 + 0.178345i −0.0652951 + 0.0268865i
\(45\) 0.692246 + 0.846092i 0.103194 + 0.126128i
\(46\) −5.29973 4.81348i −0.781402 0.709709i
\(47\) −3.86428 + 1.60064i −0.563663 + 0.233477i −0.646275 0.763105i \(-0.723674\pi\)
0.0826114 + 0.996582i \(0.473674\pi\)
\(48\) −4.92305 + 4.87479i −0.710581 + 0.703615i
\(49\) −4.68662 1.94126i −0.669517 0.277323i
\(50\) 2.93648 + 6.22548i 0.415282 + 0.880416i
\(51\) −2.10680 10.6333i −0.295011 1.48896i
\(52\) −6.34412 + 1.24816i −0.879771 + 0.173089i
\(53\) −3.87295 + 3.17844i −0.531990 + 0.436593i −0.861647 0.507508i \(-0.830567\pi\)
0.329657 + 0.944101i \(0.393067\pi\)
\(54\) −4.95285 + 5.42856i −0.673997 + 0.738734i
\(55\) 0.0837023 0.0166494i 0.0112864 0.00224501i
\(56\) 3.14651 + 2.34892i 0.420470 + 0.313887i
\(57\) 10.3976 + 5.56768i 1.37720 + 0.737458i
\(58\) 7.62751 + 8.43334i 1.00154 + 1.10735i
\(59\) 0.638190 + 0.341120i 0.0830853 + 0.0444100i 0.512416 0.858737i \(-0.328751\pi\)
−0.429331 + 0.903147i \(0.641251\pi\)
\(60\) 1.05156 0.698322i 0.135756 0.0901530i
\(61\) −0.446058 4.52890i −0.0571118 0.579866i −0.980570 0.196168i \(-0.937150\pi\)
0.923459 0.383698i \(-0.125350\pi\)
\(62\) 7.86329 5.81910i 0.998639 0.739026i
\(63\) 3.45939 + 2.31901i 0.435842 + 0.292168i
\(64\) 5.03632 + 6.21575i 0.629540 + 0.776968i
\(65\) 1.17805 0.146119
\(66\) 0.192294 + 0.540482i 0.0236698 + 0.0665287i
\(67\) −3.71202 + 0.365602i −0.453495 + 0.0446654i −0.322187 0.946676i \(-0.604418\pi\)
−0.131309 + 0.991342i \(0.541918\pi\)
\(68\) −12.4592 + 1.20087i −1.51090 + 0.145627i
\(69\) −6.20486 + 6.19555i −0.746977 + 0.745857i
\(70\) −0.479891 0.530590i −0.0573580 0.0634177i
\(71\) 14.2521 + 2.83492i 1.69141 + 0.336443i 0.944508 0.328487i \(-0.106539\pi\)
0.746905 + 0.664930i \(0.231539\pi\)
\(72\) 5.66918 + 6.31351i 0.668119 + 0.744054i
\(73\) 0.725080 + 3.64522i 0.0848642 + 0.426641i 0.999738 + 0.0229006i \(0.00729011\pi\)
−0.914874 + 0.403740i \(0.867710\pi\)
\(74\) −0.624131 4.23802i −0.0725537 0.492660i
\(75\) 7.79097 3.22027i 0.899623 0.371845i
\(76\) 7.58998 11.3080i 0.870631 1.29712i
\(77\) 0.286738 0.153264i 0.0326768 0.0174661i
\(78\) 1.14788 + 7.83524i 0.129972 + 0.887167i
\(79\) −3.36193 + 8.11643i −0.378247 + 0.913170i 0.614047 + 0.789269i \(0.289540\pi\)
−0.992295 + 0.123900i \(0.960460\pi\)
\(80\) −0.681732 1.28834i −0.0762199 0.144041i
\(81\) 6.34482 + 6.38304i 0.704981 + 0.709227i
\(82\) 0.818821 + 0.743694i 0.0904236 + 0.0821273i
\(83\) −2.76955 + 9.12998i −0.303998 + 1.00215i 0.663268 + 0.748382i \(0.269169\pi\)
−0.967266 + 0.253764i \(0.918331\pi\)
\(84\) 3.06136 3.70877i 0.334022 0.404659i
\(85\) 2.26960 + 0.223536i 0.246173 + 0.0242459i
\(86\) −2.30842 + 9.17508i −0.248923 + 0.989374i
\(87\) 10.7720 8.82686i 1.15488 0.946339i
\(88\) 0.643067 0.158941i 0.0685512 0.0169432i
\(89\) −5.05079 7.55905i −0.535383 0.801258i 0.460895 0.887455i \(-0.347528\pi\)
−0.996278 + 0.0861972i \(0.972528\pi\)
\(90\) −0.791431 1.32808i −0.0834242 0.139992i
\(91\) 4.29478 1.30281i 0.450215 0.136571i
\(92\) 6.40681 + 7.84004i 0.667956 + 0.817381i
\(93\) −6.64870 9.96667i −0.689438 1.03350i
\(94\) 5.73941 1.43128i 0.591975 0.147626i
\(95\) −1.75461 + 1.75461i −0.180019 + 0.180019i
\(96\) 7.90450 5.78955i 0.806749 0.590894i
\(97\) 8.99316 + 8.99316i 0.913117 + 0.913117i 0.996516 0.0833995i \(-0.0265778\pi\)
−0.0833995 + 0.996516i \(0.526578\pi\)
\(98\) 6.14946 + 3.69458i 0.621190 + 0.373209i
\(99\) 0.672652 0.202944i 0.0676041 0.0203967i
\(100\) −2.80630 9.32115i −0.280630 0.932115i
\(101\) 4.31870 + 14.2368i 0.429727 + 1.41662i 0.858317 + 0.513120i \(0.171511\pi\)
−0.428590 + 0.903499i \(0.640989\pi\)
\(102\) 0.724735 + 15.3130i 0.0717595 + 1.51621i
\(103\) −6.63465 + 4.43313i −0.653731 + 0.436809i −0.837706 0.546122i \(-0.816104\pi\)
0.183975 + 0.982931i \(0.441104\pi\)
\(104\) 9.13428 0.420070i 0.895690 0.0411913i
\(105\) −0.677732 + 0.555349i −0.0661398 + 0.0541965i
\(106\) 6.08124 3.63633i 0.590663 0.353192i
\(107\) 1.39310 14.1444i 0.134676 1.36739i −0.655817 0.754919i \(-0.727676\pi\)
0.790494 0.612470i \(-0.209824\pi\)
\(108\) 8.06189 6.55789i 0.775756 0.631033i
\(109\) −0.534798 0.162229i −0.0512243 0.0155387i 0.264569 0.964367i \(-0.414770\pi\)
−0.315793 + 0.948828i \(0.602270\pi\)
\(110\) −0.120553 + 0.00579625i −0.0114943 + 0.000552650i
\(111\) −5.22160 + 0.510326i −0.495613 + 0.0484380i
\(112\) −3.91014 3.94293i −0.369473 0.372571i
\(113\) −2.24751 0.930950i −0.211428 0.0875764i 0.274456 0.961600i \(-0.411502\pi\)
−0.485884 + 0.874023i \(0.661502\pi\)
\(114\) −13.3796 9.96023i −1.25311 0.932861i
\(115\) −0.869608 1.62692i −0.0810914 0.151711i
\(116\) −8.90622 13.3895i −0.826922 1.24319i
\(117\) 9.65332 0.936139i 0.892450 0.0865461i
\(118\) −0.821347 0.610482i −0.0756111 0.0561994i
\(119\) 8.52140 1.69501i 0.781156 0.155382i
\(120\) −1.61674 + 0.756993i −0.147587 + 0.0691036i
\(121\) −2.13529 + 10.7348i −0.194118 + 0.975895i
\(122\) −0.322500 + 6.42774i −0.0291978 + 0.581940i
\(123\) 0.958665 0.957227i 0.0864399 0.0863103i
\(124\) −12.2143 + 6.49594i −1.09688 + 0.583352i
\(125\) 0.352430 + 3.57828i 0.0315223 + 0.320051i
\(126\) −4.35401 3.96647i −0.387886 0.353362i
\(127\) 4.77665i 0.423859i 0.977285 + 0.211930i \(0.0679748\pi\)
−0.977285 + 0.211930i \(0.932025\pi\)
\(128\) −5.74535 9.74633i −0.507822 0.861462i
\(129\) 11.0859 + 3.37195i 0.976055 + 0.296883i
\(130\) −1.64773 0.246176i −0.144515 0.0215910i
\(131\) 9.98659 0.983594i 0.872533 0.0859370i 0.348169 0.937432i \(-0.386803\pi\)
0.524363 + 0.851495i \(0.324303\pi\)
\(132\) −0.156016 0.796150i −0.0135795 0.0692960i
\(133\) −4.45628 + 8.33711i −0.386408 + 0.722919i
\(134\) 5.26836 + 0.264331i 0.455117 + 0.0228347i
\(135\) −1.67190 + 0.888813i −0.143894 + 0.0764968i
\(136\) 17.6775 + 0.923941i 1.51584 + 0.0792273i
\(137\) 1.41756 + 7.12654i 0.121110 + 0.608862i 0.992897 + 0.118977i \(0.0379613\pi\)
−0.871787 + 0.489885i \(0.837039\pi\)
\(138\) 9.97334 7.36903i 0.848987 0.627294i
\(139\) −3.79829 4.62823i −0.322167 0.392562i 0.586592 0.809882i \(-0.300469\pi\)
−0.908759 + 0.417321i \(0.862969\pi\)
\(140\) 0.560342 + 0.842413i 0.0473576 + 0.0711969i
\(141\) −1.40802 7.10645i −0.118576 0.598471i
\(142\) −19.3419 6.94341i −1.62313 0.582678i
\(143\) 0.289744 0.699505i 0.0242296 0.0584955i
\(144\) −6.61010 10.0153i −0.550841 0.834610i
\(145\) 1.12125 + 2.70693i 0.0931144 + 0.224798i
\(146\) −0.252426 5.25005i −0.0208909 0.434497i
\(147\) 4.88688 7.30186i 0.403063 0.602247i
\(148\) −0.0126471 + 6.05810i −0.00103958 + 0.497973i
\(149\) −8.65981 0.852917i −0.709439 0.0698737i −0.263140 0.964758i \(-0.584758\pi\)
−0.446299 + 0.894884i \(0.647258\pi\)
\(150\) −11.5701 + 2.87610i −0.944693 + 0.234832i
\(151\) −10.3561 + 15.4990i −0.842765 + 1.26129i 0.120495 + 0.992714i \(0.461552\pi\)
−0.963259 + 0.268573i \(0.913448\pi\)
\(152\) −12.9791 + 14.2304i −1.05274 + 1.15424i
\(153\) 18.7754 + 0.0281867i 1.51790 + 0.00227876i
\(154\) −0.433084 + 0.154450i −0.0348989 + 0.0124460i
\(155\) 2.41205 0.731689i 0.193741 0.0587706i
\(156\) 0.0317856 11.1989i 0.00254488 0.896633i
\(157\) −6.36307 + 7.75342i −0.507828 + 0.618790i −0.962306 0.271968i \(-0.912326\pi\)
0.454478 + 0.890758i \(0.349826\pi\)
\(158\) 6.39838 10.6498i 0.509028 0.847255i
\(159\) −4.08501 7.65633i −0.323962 0.607186i
\(160\) 0.684309 + 1.94445i 0.0540994 + 0.153722i
\(161\) −4.96951 4.96951i −0.391652 0.391652i
\(162\) −7.54059 10.2538i −0.592444 0.805611i
\(163\) −3.25235 + 3.96300i −0.254743 + 0.310406i −0.884641 0.466272i \(-0.845597\pi\)
0.629898 + 0.776678i \(0.283097\pi\)
\(164\) −0.989868 1.21130i −0.0772957 0.0945870i
\(165\) −0.000110955 0.147817i −8.63786e−6 0.0115075i
\(166\) 5.78162 12.1913i 0.448741 0.946226i
\(167\) −13.7421 + 9.18215i −1.06339 + 0.710536i −0.958830 0.283982i \(-0.908344\pi\)
−0.104563 + 0.994518i \(0.533344\pi\)
\(168\) −5.05691 + 4.54768i −0.390149 + 0.350861i
\(169\) −1.41590 + 2.11904i −0.108915 + 0.163003i
\(170\) −3.12776 0.786933i −0.239888 0.0603550i
\(171\) −12.9835 + 15.7721i −0.992871 + 1.20612i
\(172\) 5.14606 12.3507i 0.392383 0.941732i
\(173\) −10.0807 3.05796i −0.766424 0.232492i −0.117219 0.993106i \(-0.537398\pi\)
−0.649205 + 0.760614i \(0.724898\pi\)
\(174\) −16.9113 + 10.0950i −1.28204 + 0.765302i
\(175\) 2.58576 + 6.24257i 0.195465 + 0.471894i
\(176\) −0.932665 + 0.0879291i −0.0703022 + 0.00662791i
\(177\) −0.795860 + 0.968275i −0.0598205 + 0.0727800i
\(178\) 5.48489 + 11.6282i 0.411110 + 0.871572i
\(179\) −0.660765 1.23620i −0.0493879 0.0923982i 0.856016 0.516949i \(-0.172932\pi\)
−0.905404 + 0.424550i \(0.860432\pi\)
\(180\) 0.829441 + 2.02295i 0.0618229 + 0.150782i
\(181\) −8.72779 10.6348i −0.648731 0.790482i 0.339961 0.940440i \(-0.389586\pi\)
−0.988692 + 0.149958i \(0.952086\pi\)
\(182\) −6.27931 + 0.924750i −0.465453 + 0.0685470i
\(183\) 7.84370 + 0.778482i 0.579823 + 0.0575471i
\(184\) −7.32282 12.3046i −0.539845 0.907107i
\(185\) 0.215338 1.08257i 0.0158319 0.0795925i
\(186\) 7.21675 + 15.3297i 0.529158 + 1.12402i
\(187\) 0.690944 1.29267i 0.0505268 0.0945291i
\(188\) −8.32675 + 0.802565i −0.607290 + 0.0585330i
\(189\) −5.11223 + 5.08926i −0.371860 + 0.370189i
\(190\) 2.82081 2.08749i 0.204643 0.151443i
\(191\) 8.74939i 0.633083i −0.948579 0.316542i \(-0.897478\pi\)
0.948579 0.316542i \(-0.102522\pi\)
\(192\) −12.2658 + 6.44600i −0.885206 + 0.465200i
\(193\) 4.02910i 0.290021i −0.989430 0.145010i \(-0.953678\pi\)
0.989430 0.145010i \(-0.0463215\pi\)
\(194\) −10.6993 14.4579i −0.768168 1.03802i
\(195\) −0.399574 + 2.00094i −0.0286141 + 0.143290i
\(196\) −7.82914 6.45261i −0.559224 0.460901i
\(197\) 12.1911 22.8080i 0.868583 1.62501i 0.0913272 0.995821i \(-0.470889\pi\)
0.777256 0.629184i \(-0.216611\pi\)
\(198\) −0.983240 + 0.143293i −0.0698758 + 0.0101834i
\(199\) 4.74872 23.8734i 0.336628 1.69234i −0.327604 0.944815i \(-0.606241\pi\)
0.664232 0.747527i \(-0.268759\pi\)
\(200\) 1.97732 + 13.6238i 0.139818 + 0.963349i
\(201\) 0.638067 6.42893i 0.0450058 0.453462i
\(202\) −3.06547 20.8154i −0.215686 1.46457i
\(203\) 7.08127 + 8.62855i 0.497008 + 0.605606i
\(204\) 2.18624 21.5695i 0.153068 1.51017i
\(205\) 0.134357 + 0.251363i 0.00938387 + 0.0175560i
\(206\) 10.2062 4.81414i 0.711099 0.335417i
\(207\) −8.41867 12.6405i −0.585138 0.878573i
\(208\) −12.8638 1.32123i −0.891945 0.0916107i
\(209\) 0.610302 + 1.47340i 0.0422155 + 0.101917i
\(210\) 1.06399 0.635137i 0.0734220 0.0438286i
\(211\) 19.6003 + 5.94570i 1.34934 + 0.409319i 0.880535 0.473982i \(-0.157184\pi\)
0.468808 + 0.883300i \(0.344684\pi\)
\(212\) −9.26565 + 3.81532i −0.636367 + 0.262037i
\(213\) −9.64920 + 23.2459i −0.661153 + 1.59278i
\(214\) −4.90424 + 19.4925i −0.335247 + 1.33248i
\(215\) −1.35437 + 2.02696i −0.0923675 + 0.138238i
\(216\) −12.6465 + 7.48777i −0.860484 + 0.509478i
\(217\) 7.98436 5.33498i 0.542013 0.362162i
\(218\) 0.714115 + 0.338664i 0.0483660 + 0.0229372i
\(219\) −6.43740 0.00483209i −0.434999 0.000326522i
\(220\) 0.169827 + 0.0170846i 0.0114497 + 0.00115184i
\(221\) 12.8356 15.6402i 0.863416 1.05208i
\(222\) 7.41004 + 0.377362i 0.497329 + 0.0253269i
\(223\) 11.1231 + 11.1231i 0.744860 + 0.744860i 0.973509 0.228649i \(-0.0734309\pi\)
−0.228649 + 0.973509i \(0.573431\pi\)
\(224\) 4.64512 + 6.33202i 0.310365 + 0.423076i
\(225\) 2.82714 + 14.3253i 0.188476 + 0.955022i
\(226\) 2.94903 + 1.77177i 0.196167 + 0.117856i
\(227\) −13.5200 + 16.4742i −0.897356 + 1.09343i 0.0978085 + 0.995205i \(0.468817\pi\)
−0.995164 + 0.0982257i \(0.968683\pi\)
\(228\) 16.6325 + 16.7272i 1.10151 + 1.10778i
\(229\) 4.76181 1.44448i 0.314669 0.0954539i −0.129000 0.991645i \(-0.541177\pi\)
0.443669 + 0.896191i \(0.353677\pi\)
\(230\) 0.876336 + 2.45728i 0.0577839 + 0.162028i
\(231\) 0.163066 + 0.539013i 0.0107290 + 0.0354644i
\(232\) 9.65905 + 20.5889i 0.634148 + 1.35173i
\(233\) 12.3351 18.4607i 0.808097 1.20940i −0.166633 0.986019i \(-0.553290\pi\)
0.974730 0.223384i \(-0.0717105\pi\)
\(234\) −13.6976 0.707871i −0.895442 0.0462750i
\(235\) 1.51682 + 0.149394i 0.0989463 + 0.00974536i
\(236\) 1.02124 + 1.02551i 0.0664769 + 0.0667550i
\(237\) −12.6456 8.46324i −0.821418 0.549747i
\(238\) −12.2730 + 0.590093i −0.795541 + 0.0382500i
\(239\) 0.871052 + 2.10291i 0.0563437 + 0.136026i 0.949545 0.313632i \(-0.101546\pi\)
−0.893201 + 0.449658i \(0.851546\pi\)
\(240\) 2.41950 0.720951i 0.156178 0.0465372i
\(241\) −2.89552 + 6.99040i −0.186517 + 0.450291i −0.989285 0.146001i \(-0.953360\pi\)
0.802768 + 0.596292i \(0.203360\pi\)
\(242\) 5.22985 14.5685i 0.336188 0.936499i
\(243\) −12.9937 + 8.61178i −0.833549 + 0.552446i
\(244\) 1.79427 8.92301i 0.114866 0.571237i
\(245\) 1.17268 + 1.42891i 0.0749198 + 0.0912900i
\(246\) −1.54091 + 1.13853i −0.0982445 + 0.0725902i
\(247\) 4.29479 + 21.5914i 0.273271 + 1.37383i
\(248\) 18.4415 6.53339i 1.17103 0.414871i
\(249\) −14.5680 7.80084i −0.923212 0.494358i
\(250\) 0.254808 5.07855i 0.0161154 0.321196i
\(251\) 5.62447 10.5226i 0.355014 0.664184i −0.639500 0.768791i \(-0.720859\pi\)
0.994514 + 0.104607i \(0.0333586\pi\)
\(252\) 5.26104 + 6.45772i 0.331414 + 0.406798i
\(253\) −1.17992 + 0.116212i −0.0741807 + 0.00730616i
\(254\) 0.998169 6.68105i 0.0626307 0.419207i
\(255\) −1.14949 + 3.77913i −0.0719836 + 0.236659i
\(256\) 5.99928 + 14.8327i 0.374955 + 0.927043i
\(257\) 24.0854i 1.50241i −0.660070 0.751204i \(-0.729473\pi\)
0.660070 0.751204i \(-0.270527\pi\)
\(258\) −14.8010 7.03290i −0.921473 0.437849i
\(259\) −0.412171 4.18484i −0.0256111 0.260033i
\(260\) 2.25322 + 0.688647i 0.139739 + 0.0427081i
\(261\) 11.3389 + 21.2904i 0.701859 + 1.31784i
\(262\) −14.1737 0.711140i −0.875653 0.0439343i
\(263\) 1.18329 5.94881i 0.0729649 0.366819i −0.927001 0.375058i \(-0.877623\pi\)
0.999966 + 0.00823925i \(0.00262266\pi\)
\(264\) 0.0518483 + 1.14617i 0.00319104 + 0.0705418i
\(265\) 1.79063 0.356179i 0.109998 0.0218799i
\(266\) 7.97514 10.7298i 0.488987 0.657887i
\(267\) 14.5523 6.01497i 0.890586 0.368110i
\(268\) −7.31356 1.47064i −0.446747 0.0898335i
\(269\) −0.143808 0.269046i −0.00876813 0.0164040i 0.877499 0.479578i \(-0.159210\pi\)
−0.886267 + 0.463174i \(0.846710\pi\)
\(270\) 2.52420 0.893800i 0.153618 0.0543949i
\(271\) −20.1002 8.32578i −1.22100 0.505755i −0.323273 0.946306i \(-0.604783\pi\)
−0.897728 + 0.440550i \(0.854783\pi\)
\(272\) −24.5323 4.98635i −1.48749 0.302342i
\(273\) 0.756129 + 7.73664i 0.0457630 + 0.468243i
\(274\) −0.493501 10.2640i −0.0298135 0.620074i
\(275\) 1.09082 + 0.330896i 0.0657788 + 0.0199538i
\(276\) −15.4895 + 8.22287i −0.932359 + 0.494959i
\(277\) 2.22554 22.5963i 0.133720 1.35768i −0.660855 0.750514i \(-0.729806\pi\)
0.794575 0.607166i \(-0.207694\pi\)
\(278\) 4.34548 + 7.26718i 0.260624 + 0.435857i
\(279\) 19.1837 7.91242i 1.14850 0.473704i
\(280\) −0.607707 1.29537i −0.0363175 0.0774131i
\(281\) 27.5449 18.4049i 1.64319 1.09794i 0.736227 0.676734i \(-0.236605\pi\)
0.906963 0.421210i \(-0.138395\pi\)
\(282\) 0.484355 + 10.2339i 0.0288429 + 0.609422i
\(283\) −0.552743 1.82215i −0.0328571 0.108315i 0.938978 0.343977i \(-0.111774\pi\)
−0.971835 + 0.235662i \(0.924274\pi\)
\(284\) 25.6023 + 13.7535i 1.51922 + 0.816121i
\(285\) −2.38510 3.57536i −0.141281 0.211786i
\(286\) −0.551437 + 0.917842i −0.0326071 + 0.0542732i
\(287\) 0.767801 + 0.767801i 0.0453218 + 0.0453218i
\(288\) 7.15259 + 15.3896i 0.421470 + 0.906842i
\(289\) 15.6756 15.6756i 0.922095 0.922095i
\(290\) −1.00261 4.02045i −0.0588754 0.236089i
\(291\) −18.3253 + 12.2247i −1.07425 + 0.716625i
\(292\) −0.744030 + 7.39594i −0.0435410 + 0.432815i
\(293\) −9.68693 + 2.93850i −0.565917 + 0.171669i −0.560263 0.828315i \(-0.689300\pi\)
−0.00565411 + 0.999984i \(0.501800\pi\)
\(294\) −8.36108 + 9.19183i −0.487628 + 0.536078i
\(295\) −0.146499 0.219252i −0.00852953 0.0127653i
\(296\) 1.28364 8.47076i 0.0746101 0.492353i
\(297\) 0.116553 + 1.21134i 0.00676311 + 0.0702894i
\(298\) 11.9342 + 3.00259i 0.691327 + 0.173935i
\(299\) −16.2874 1.60417i −0.941926 0.0927716i
\(300\) 16.7840 1.60499i 0.969022 0.0926641i
\(301\) −2.69597 + 8.88742i −0.155393 + 0.512262i
\(302\) 17.7237 19.5141i 1.01989 1.12291i
\(303\) −25.6463 + 2.50651i −1.47334 + 0.143995i
\(304\) 21.1274 17.1917i 1.21174 0.986009i
\(305\) −0.634607 + 1.53208i −0.0363375 + 0.0877265i
\(306\) −26.2551 3.96290i −1.50091 0.226544i
\(307\) 14.4689 7.73380i 0.825785 0.441391i −0.00365112 0.999993i \(-0.501162\pi\)
0.829436 + 0.558602i \(0.188662\pi\)
\(308\) 0.638026 0.125527i 0.0363549 0.00715257i
\(309\) −5.27939 12.7727i −0.300334 0.726613i
\(310\) −3.52661 + 0.519362i −0.200298 + 0.0294978i
\(311\) 2.55234 + 12.8315i 0.144730 + 0.727606i 0.983182 + 0.182630i \(0.0584611\pi\)
−0.838452 + 0.544976i \(0.816539\pi\)
\(312\) −2.38468 + 15.6572i −0.135006 + 0.886415i
\(313\) 4.32184 + 0.859668i 0.244285 + 0.0485913i 0.315714 0.948854i \(-0.397756\pi\)
−0.0714291 + 0.997446i \(0.522756\pi\)
\(314\) 10.5202 9.51495i 0.593688 0.536960i
\(315\) −0.713395 1.33950i −0.0401953 0.0754724i
\(316\) −11.1748 + 13.5587i −0.628633 + 0.762739i
\(317\) −18.1683 + 1.78942i −1.02043 + 0.100504i −0.594372 0.804190i \(-0.702599\pi\)
−0.426062 + 0.904694i \(0.640099\pi\)
\(318\) 4.11373 + 11.5625i 0.230686 + 0.648391i
\(319\) 1.88309 0.105433
\(320\) −0.550807 2.86268i −0.0307911 0.160029i
\(321\) 23.5520 + 7.16372i 1.31454 + 0.399840i
\(322\) 5.91233 + 7.98927i 0.329481 + 0.445224i
\(323\) 4.17724 + 42.4122i 0.232428 + 2.35988i
\(324\) 8.40423 + 15.9176i 0.466902 + 0.884309i
\(325\) 13.8771 + 7.41746i 0.769763 + 0.411447i
\(326\) 5.37716 4.86336i 0.297814 0.269357i
\(327\) 0.456942 0.853337i 0.0252690 0.0471897i
\(328\) 1.13139 + 1.90109i 0.0624707 + 0.104970i
\(329\) 5.69502 1.13281i 0.313977 0.0624538i
\(330\) 0.0310442 0.206727i 0.00170893 0.0113799i
\(331\) 24.6053 20.1931i 1.35243 1.10991i 0.368840 0.929493i \(-0.379755\pi\)
0.983590 0.180418i \(-0.0577451\pi\)
\(332\) −10.6343 + 15.8436i −0.583632 + 0.869531i
\(333\) 0.904274 9.04207i 0.0495539 0.495502i
\(334\) 21.1397 9.97133i 1.15671 0.545607i
\(335\) 1.25574 + 0.520143i 0.0686082 + 0.0284184i
\(336\) 8.02337 5.30406i 0.437711 0.289360i
\(337\) −32.5864 + 13.4977i −1.77509 + 0.735268i −0.781283 + 0.624176i \(0.785435\pi\)
−0.993810 + 0.111091i \(0.964565\pi\)
\(338\) 2.42322 2.66801i 0.131806 0.145120i
\(339\) 2.34355 3.50167i 0.127284 0.190185i
\(340\) 4.21032 + 1.75428i 0.228336 + 0.0951390i
\(341\) 0.158787 1.61219i 0.00859879 0.0873050i
\(342\) 21.4557 19.3471i 1.16019 1.04617i
\(343\) 13.9354 + 9.31137i 0.752443 + 0.502767i
\(344\) −9.77865 + 16.1994i −0.527229 + 0.873415i
\(345\) 3.05831 0.925221i 0.164654 0.0498122i
\(346\) 13.4608 + 6.38369i 0.723657 + 0.343189i
\(347\) −3.11564 10.2709i −0.167256 0.551371i 0.832741 0.553663i \(-0.186770\pi\)
−0.999997 + 0.00229222i \(0.999270\pi\)
\(348\) 25.7632 10.5859i 1.38105 0.567463i
\(349\) −13.3439 10.9510i −0.714281 0.586196i 0.205486 0.978660i \(-0.434123\pi\)
−0.919767 + 0.392464i \(0.871623\pi\)
\(350\) −2.31217 9.27176i −0.123591 0.495597i
\(351\) −1.68418 + 16.7138i −0.0898949 + 0.892119i
\(352\) 1.32288 + 0.0719118i 0.0705099 + 0.00383291i
\(353\) −23.7176 + 23.7176i −1.26236 + 1.26236i −0.312415 + 0.949946i \(0.601138\pi\)
−0.949946 + 0.312415i \(0.898862\pi\)
\(354\) 1.31550 1.18801i 0.0699180 0.0631418i
\(355\) −4.09324 3.35923i −0.217247 0.178290i
\(356\) −5.24173 17.4104i −0.277811 0.922751i
\(357\) −0.0112959 + 15.0487i −0.000597844 + 0.796459i
\(358\) 0.665877 + 1.86714i 0.0351927 + 0.0986817i
\(359\) 9.39583 + 14.0619i 0.495893 + 0.742156i 0.992018 0.126095i \(-0.0402443\pi\)
−0.496125 + 0.868251i \(0.665244\pi\)
\(360\) −0.737397 3.00281i −0.0388643 0.158262i
\(361\) −22.7572 15.2059i −1.19775 0.800310i
\(362\) 9.98512 + 16.6987i 0.524806 + 0.877663i
\(363\) −17.5090 7.26789i −0.918987 0.381465i
\(364\) 8.97605 + 0.0187387i 0.470473 + 0.000982174i
\(365\) 0.393143 1.29602i 0.0205781 0.0678368i
\(366\) −10.8082 2.72794i −0.564955 0.142592i
\(367\) −7.92994 + 3.28469i −0.413940 + 0.171459i −0.579927 0.814669i \(-0.696919\pi\)
0.165987 + 0.986128i \(0.446919\pi\)
\(368\) 7.67108 + 18.7406i 0.399883 + 0.976919i
\(369\) 1.30070 + 1.95298i 0.0677120 + 0.101668i
\(370\) −0.527414 + 1.46919i −0.0274190 + 0.0763794i
\(371\) 6.13414 3.27877i 0.318469 0.170225i
\(372\) −6.89058 22.9495i −0.357260 1.18988i
\(373\) 14.1297 11.5959i 0.731606 0.600413i −0.193063 0.981186i \(-0.561842\pi\)
0.924669 + 0.380773i \(0.124342\pi\)
\(374\) −1.23654 + 1.66365i −0.0639401 + 0.0860254i
\(375\) −6.19731 0.615079i −0.320028 0.0317625i
\(376\) 11.8142 + 0.617487i 0.609273 + 0.0318445i
\(377\) 25.4945 + 5.07117i 1.31303 + 0.261179i
\(378\) 8.21392 6.05000i 0.422478 0.311178i
\(379\) −24.7566 13.2327i −1.27166 0.679717i −0.309164 0.951009i \(-0.600049\pi\)
−0.962497 + 0.271292i \(0.912549\pi\)
\(380\) −4.38165 + 2.33029i −0.224774 + 0.119542i
\(381\) −8.11322 1.62015i −0.415653 0.0830029i
\(382\) −1.82834 + 12.2377i −0.0935462 + 0.626134i
\(383\) 7.48476 0.382453 0.191227 0.981546i \(-0.438753\pi\)
0.191227 + 0.981546i \(0.438753\pi\)
\(384\) 18.5030 6.45279i 0.944228 0.329293i
\(385\) −0.118476 −0.00603811
\(386\) −0.841953 + 5.63545i −0.0428543 + 0.286837i
\(387\) −9.48742 + 17.6858i −0.482273 + 0.899020i
\(388\) 11.9438 + 22.4580i 0.606356 + 1.14013i
\(389\) 15.4968 + 8.28320i 0.785718 + 0.419975i 0.814902 0.579599i \(-0.196791\pi\)
−0.0291840 + 0.999574i \(0.509291\pi\)
\(390\) 0.977013 2.71520i 0.0494730 0.137489i
\(391\) −31.0745 6.18110i −1.57150 0.312591i
\(392\) 9.60214 + 10.6612i 0.484982 + 0.538474i
\(393\) −1.71662 + 17.2960i −0.0865919 + 0.872468i
\(394\) −21.8178 + 29.3538i −1.09916 + 1.47882i
\(395\) 2.47464 2.03088i 0.124513 0.102185i
\(396\) 1.40519 + 0.00504309i 0.0706135 + 0.000253425i
\(397\) 21.0056 11.2277i 1.05424 0.563503i 0.149191 0.988808i \(-0.452333\pi\)
0.905050 + 0.425305i \(0.139833\pi\)
\(398\) −11.6308 + 32.3992i −0.582998 + 1.62402i
\(399\) −12.6492 10.3969i −0.633254 0.520494i
\(400\) 0.0812873 19.4687i 0.00406436 0.973434i
\(401\) −15.2411 + 6.31307i −0.761104 + 0.315260i −0.729263 0.684233i \(-0.760137\pi\)
−0.0318411 + 0.999493i \(0.510137\pi\)
\(402\) −2.23590 + 8.85874i −0.111517 + 0.441834i
\(403\) 6.49139 21.3993i 0.323359 1.06597i
\(404\) −0.0621172 + 29.7549i −0.00309045 + 1.48036i
\(405\) −0.942586 3.14121i −0.0468375 0.156088i
\(406\) −8.10140 13.5484i −0.402066 0.672397i
\(407\) −0.589849 0.394125i −0.0292377 0.0195360i
\(408\) −7.56522 + 29.7122i −0.374534 + 1.47097i
\(409\) −7.43455 11.1266i −0.367615 0.550175i 0.600838 0.799371i \(-0.294834\pi\)
−0.968453 + 0.249196i \(0.919834\pi\)
\(410\) −0.135396 0.379656i −0.00668674 0.0187499i
\(411\) −12.5854 0.00944691i −0.620790 0.000465982i
\(412\) −15.2813 + 4.60072i −0.752855 + 0.226661i
\(413\) −0.776558 0.637304i −0.0382119 0.0313597i
\(414\) 9.13364 + 19.4393i 0.448894 + 0.955390i
\(415\) 2.45837 2.45837i 0.120676 0.120676i
\(416\) 17.7164 + 4.53612i 0.868617 + 0.222401i
\(417\) 9.14944 4.88165i 0.448050 0.239055i
\(418\) −0.545729 2.18836i −0.0266925 0.107036i
\(419\) 4.04993 + 3.32369i 0.197852 + 0.162373i 0.728103 0.685468i \(-0.240402\pi\)
−0.530251 + 0.847841i \(0.677902\pi\)
\(420\) −1.62091 + 0.666019i −0.0790923 + 0.0324984i
\(421\) 8.39382 + 27.6707i 0.409090 + 1.34859i 0.883560 + 0.468317i \(0.155140\pi\)
−0.474470 + 0.880271i \(0.657360\pi\)
\(422\) −26.1723 12.4120i −1.27405 0.604208i
\(423\) 12.5480 + 0.0188377i 0.610104 + 0.000915921i
\(424\) 13.7570 3.40021i 0.668101 0.165129i
\(425\) 25.3277 + 16.9234i 1.22858 + 0.820908i
\(426\) 18.3539 30.4974i 0.889249 1.47760i
\(427\) −0.619240 + 6.28725i −0.0299671 + 0.304261i
\(428\) 10.9328 26.2391i 0.528458 1.26832i
\(429\) 1.08984 + 0.729394i 0.0526182 + 0.0352155i
\(430\) 2.31792 2.55207i 0.111780 0.123072i
\(431\) −28.5090 + 11.8088i −1.37323 + 0.568811i −0.942662 0.333748i \(-0.891687\pi\)
−0.430568 + 0.902558i \(0.641687\pi\)
\(432\) 19.2532 7.83035i 0.926320 0.376738i
\(433\) −7.79101 3.22714i −0.374412 0.155087i 0.187539 0.982257i \(-0.439949\pi\)
−0.561951 + 0.827171i \(0.689949\pi\)
\(434\) −12.2825 + 5.79350i −0.589578 + 0.278097i
\(435\) −4.97806 + 0.986314i −0.238680 + 0.0472902i
\(436\) −0.928055 0.622913i −0.0444458 0.0298321i
\(437\) 26.6480 21.8694i 1.27474 1.04616i
\(438\) 9.00292 + 1.35197i 0.430176 + 0.0645997i
\(439\) 2.79815 0.556587i 0.133548 0.0265644i −0.127863 0.991792i \(-0.540812\pi\)
0.261412 + 0.965227i \(0.415812\pi\)
\(440\) −0.233965 0.0593845i −0.0111539 0.00283104i
\(441\) 10.7448 + 10.7771i 0.511656 + 0.513195i
\(442\) −21.2213 + 19.1936i −1.00940 + 0.912946i
\(443\) −18.9077 10.1064i −0.898331 0.480168i −0.0434878 0.999054i \(-0.513847\pi\)
−0.854844 + 0.518886i \(0.826347\pi\)
\(444\) −10.2855 2.07628i −0.488128 0.0985357i
\(445\) 0.324713 + 3.29686i 0.0153929 + 0.156286i
\(446\) −13.2334 17.8822i −0.626621 0.846746i
\(447\) 4.38594 14.4195i 0.207448 0.682020i
\(448\) −5.17389 9.82722i −0.244443 0.464292i
\(449\) −33.1212 −1.56309 −0.781543 0.623851i \(-0.785567\pi\)
−0.781543 + 0.623851i \(0.785567\pi\)
\(450\) −0.960744 20.6275i −0.0452899 0.972389i
\(451\) 0.182300 0.0179550i 0.00858417 0.000845467i
\(452\) −3.75454 3.09441i −0.176599 0.145549i
\(453\) −22.8126 22.8469i −1.07183 1.07344i
\(454\) 22.3529 20.2170i 1.04907 0.948832i
\(455\) −1.60401 0.319057i −0.0751971 0.0149576i
\(456\) −19.7682 26.8718i −0.925733 1.25839i
\(457\) −7.74464 38.9350i −0.362279 1.82130i −0.545360 0.838202i \(-0.683607\pi\)
0.183080 0.983098i \(-0.441393\pi\)
\(458\) −6.96214 + 1.02531i −0.325320 + 0.0479096i
\(459\) −6.41616 + 31.8808i −0.299480 + 1.48807i
\(460\) −0.712229 3.62010i −0.0332078 0.168788i
\(461\) −3.39260 + 1.81338i −0.158009 + 0.0844576i −0.548506 0.836147i \(-0.684803\pi\)
0.390497 + 0.920604i \(0.372303\pi\)
\(462\) −0.115442 0.787987i −0.00537085 0.0366605i
\(463\) 3.59696 8.68384i 0.167165 0.403572i −0.817992 0.575230i \(-0.804912\pi\)
0.985157 + 0.171658i \(0.0549125\pi\)
\(464\) −9.20758 30.8159i −0.427451 1.43059i
\(465\) 0.424661 + 4.34509i 0.0196932 + 0.201499i
\(466\) −21.1106 + 23.2432i −0.977932 + 1.07672i
\(467\) −10.5599 + 34.8115i −0.488656 + 1.61088i 0.272392 + 0.962186i \(0.412185\pi\)
−0.761048 + 0.648696i \(0.775315\pi\)
\(468\) 19.0108 + 3.85246i 0.878775 + 0.178080i
\(469\) 5.15321 + 0.507547i 0.237953 + 0.0234364i
\(470\) −2.09034 0.525922i −0.0964202 0.0242590i
\(471\) −11.0111 13.4376i −0.507363 0.619171i
\(472\) −1.21410 1.64778i −0.0558833 0.0758451i
\(473\) 0.870460 + 1.30274i 0.0400238 + 0.0598998i
\(474\) 15.9187 + 14.4800i 0.731169 + 0.665087i
\(475\) −31.7164 + 9.62105i −1.45525 + 0.441444i
\(476\) 17.2894 + 1.73931i 0.792460 + 0.0797212i
\(477\) 14.3900 4.34156i 0.658871 0.198787i
\(478\) −0.778891 3.12333i −0.0356256 0.142858i
\(479\) −0.804665 + 0.804665i −0.0367661 + 0.0367661i −0.725251 0.688485i \(-0.758276\pi\)
0.688485 + 0.725251i \(0.258276\pi\)
\(480\) −3.53478 + 0.502788i −0.161340 + 0.0229490i
\(481\) −6.92438 6.92438i −0.315724 0.315724i
\(482\) 5.51070 9.17233i 0.251006 0.417788i
\(483\) 10.1264 6.75522i 0.460765 0.307373i
\(484\) −10.3593 + 19.2839i −0.470877 + 0.876543i
\(485\) −1.34533 4.43495i −0.0610881 0.201381i
\(486\) 19.9738 9.32992i 0.906030 0.423214i
\(487\) 27.9363 18.6664i 1.26591 0.845856i 0.272693 0.962101i \(-0.412086\pi\)
0.993221 + 0.116245i \(0.0370857\pi\)
\(488\) −4.37425 + 12.1056i −0.198013 + 0.547994i
\(489\) −5.62808 6.86834i −0.254510 0.310597i
\(490\) −1.34162 2.24366i −0.0606081 0.101358i
\(491\) 3.16576 32.1425i 0.142869 1.45057i −0.610002 0.792400i \(-0.708831\pi\)
0.752870 0.658169i \(-0.228669\pi\)
\(492\) 2.39317 1.27045i 0.107892 0.0572765i
\(493\) 48.1547 + 14.6076i 2.16878 + 0.657892i
\(494\) −1.49517 31.0971i −0.0672707 1.39912i
\(495\) −0.251032 0.0503252i −0.0112830 0.00226195i
\(496\) −27.1592 + 5.28451i −1.21948 + 0.237281i
\(497\) −18.6375 7.71992i −0.836007 0.346286i
\(498\) 18.7460 + 13.9552i 0.840030 + 0.625348i
\(499\) 0.286135 + 0.535321i 0.0128092 + 0.0239642i 0.888244 0.459371i \(-0.151925\pi\)
−0.875435 + 0.483335i \(0.839425\pi\)
\(500\) −1.41765 + 7.05007i −0.0633994 + 0.315289i
\(501\) −10.9350 26.4555i −0.488539 1.18195i
\(502\) −10.0658 + 13.5426i −0.449258 + 0.604435i
\(503\) −20.9985 + 4.17686i −0.936277 + 0.186237i −0.639571 0.768732i \(-0.720888\pi\)
−0.296706 + 0.954969i \(0.595888\pi\)
\(504\) −6.00910 10.1317i −0.267667 0.451303i
\(505\) 1.05765 5.31716i 0.0470647 0.236610i
\(506\) 1.67462 + 0.0840211i 0.0744460 + 0.00373520i
\(507\) −3.11898 3.12367i −0.138519 0.138727i
\(508\) −2.79226 + 9.13613i −0.123886 + 0.405350i
\(509\) 3.80878 + 38.6712i 0.168821 + 1.71407i 0.590261 + 0.807213i \(0.299025\pi\)
−0.421440 + 0.906856i \(0.638475\pi\)
\(510\) 2.39749 5.04563i 0.106163 0.223424i
\(511\) 5.15962i 0.228248i
\(512\) −5.29158 22.0000i −0.233857 0.972271i
\(513\) −22.3854 27.4022i −0.988338 1.20984i
\(514\) −5.03309 + 33.6881i −0.222000 + 1.48592i
\(515\) 2.89369 0.285003i 0.127511 0.0125587i
\(516\) 19.2324 + 12.9298i 0.846660 + 0.569202i
\(517\) 0.461771 0.863913i 0.0203087 0.0379949i
\(518\) −0.298000 + 5.93943i −0.0130934 + 0.260963i
\(519\) 8.61319 16.0851i 0.378077 0.706057i
\(520\) −3.00765 1.43405i −0.131894 0.0628875i
\(521\) −5.34415 26.8669i −0.234131 1.17706i −0.901650 0.432466i \(-0.857644\pi\)
0.667519 0.744593i \(-0.267356\pi\)
\(522\) −11.4106 32.1481i −0.499427 1.40708i
\(523\) 24.9836 + 30.4426i 1.09246 + 1.33116i 0.939354 + 0.342950i \(0.111426\pi\)
0.153102 + 0.988210i \(0.451074\pi\)
\(524\) 19.6760 + 3.95651i 0.859549 + 0.172841i
\(525\) −11.4802 + 2.27459i −0.501035 + 0.0992711i
\(526\) −2.89817 + 8.07326i −0.126366 + 0.352011i
\(527\) 16.5666 39.9954i 0.721655 1.74223i
\(528\) 0.166993 1.61397i 0.00726746 0.0702390i
\(529\) 1.00583 + 2.42829i 0.0437318 + 0.105578i
\(530\) −2.57897 + 0.123998i −0.112023 + 0.00538614i
\(531\) −1.37469 1.68020i −0.0596564 0.0729145i
\(532\) −13.3969 + 13.3411i −0.580831 + 0.578411i
\(533\) 2.51645 + 0.247848i 0.108999 + 0.0107355i
\(534\) −21.6111 + 5.37210i −0.935203 + 0.232474i
\(535\) −2.87737 + 4.30629i −0.124400 + 0.186177i
\(536\) 9.92209 + 3.58527i 0.428569 + 0.154860i
\(537\) 2.32383 0.703022i 0.100281 0.0303376i
\(538\) 0.144921 + 0.406363i 0.00624797 + 0.0175195i
\(539\) 1.13688 0.344870i 0.0489691 0.0148546i
\(540\) −3.71735 + 0.722671i −0.159969 + 0.0310988i
\(541\) 6.65674 8.11126i 0.286196 0.348730i −0.609990 0.792409i \(-0.708827\pi\)
0.896186 + 0.443678i \(0.146327\pi\)
\(542\) 26.3741 + 15.8455i 1.13287 + 0.680622i
\(543\) 21.0237 11.2171i 0.902215 0.481374i
\(544\) 33.2711 + 12.1008i 1.42649 + 0.518819i
\(545\) 0.144001 + 0.144001i 0.00616833 + 0.00616833i
\(546\) 0.559123 10.9792i 0.0239282 0.469865i
\(547\) 1.65827 2.02061i 0.0709024 0.0863948i −0.736351 0.676599i \(-0.763453\pi\)
0.807254 + 0.590205i \(0.200953\pi\)
\(548\) −1.45461 + 14.4593i −0.0621377 + 0.617672i
\(549\) −3.98270 + 13.0586i −0.169978 + 0.557328i
\(550\) −1.45657 0.690767i −0.0621083 0.0294544i
\(551\) −45.5249 + 30.4188i −1.93943 + 1.29588i
\(552\) 23.3833 8.26443i 0.995260 0.351758i
\(553\) 6.77574 10.1406i 0.288134 0.431222i
\(554\) −7.83475 + 31.1401i −0.332867 + 1.32302i
\(555\) 1.76573 + 0.732944i 0.0749512 + 0.0311117i
\(556\) −4.55936 11.0726i −0.193360 0.469583i
\(557\) 12.9051 + 3.91473i 0.546808 + 0.165872i 0.551589 0.834116i \(-0.314022\pi\)
−0.00478063 + 0.999989i \(0.501522\pi\)
\(558\) −28.4854 + 7.05823i −1.20588 + 0.298799i
\(559\) 8.27658 + 19.9814i 0.350062 + 0.845124i
\(560\) 0.579303 + 1.93881i 0.0244800 + 0.0819297i
\(561\) 1.96126 + 1.61203i 0.0828044 + 0.0680599i
\(562\) −42.3728 + 19.9867i −1.78739 + 0.843090i
\(563\) −9.12670 17.0749i −0.384645 0.719619i 0.612862 0.790190i \(-0.290018\pi\)
−0.997507 + 0.0705704i \(0.977518\pi\)
\(564\) 1.46111 14.4153i 0.0615238 0.606995i
\(565\) 0.562369 + 0.685249i 0.0236591 + 0.0288286i
\(566\) 0.392344 + 2.66413i 0.0164915 + 0.111982i
\(567\) −6.91021 10.4094i −0.290202 0.437153i
\(568\) −32.9356 24.5870i −1.38195 1.03165i
\(569\) −5.75598 + 28.9373i −0.241303 + 1.21311i 0.650081 + 0.759865i \(0.274735\pi\)
−0.891384 + 0.453248i \(0.850265\pi\)
\(570\) 2.58887 + 5.49922i 0.108436 + 0.230337i
\(571\) −4.21146 + 7.87909i −0.176244 + 0.329730i −0.954497 0.298222i \(-0.903606\pi\)
0.778252 + 0.627952i \(0.216106\pi\)
\(572\) 0.963089 1.16854i 0.0402688 0.0488593i
\(573\) 14.8610 + 2.96763i 0.620826 + 0.123974i
\(574\) −0.913469 1.23436i −0.0381275 0.0515212i
\(575\) 24.6400i 1.02756i
\(576\) −6.78831 23.0200i −0.282846 0.959165i
\(577\) 28.7585i 1.19723i −0.801036 0.598617i \(-0.795717\pi\)
0.801036 0.598617i \(-0.204283\pi\)
\(578\) −25.2010 + 18.6496i −1.04822 + 0.775721i
\(579\) 6.84348 + 1.36659i 0.284405 + 0.0567937i
\(580\) 0.562196 + 5.83288i 0.0233439 + 0.242197i
\(581\) 6.24366 11.6811i 0.259031 0.484613i
\(582\) 28.1860 13.2692i 1.16835 0.550024i
\(583\) 0.228917 1.15085i 0.00948079 0.0476631i
\(584\) 2.58618 10.1891i 0.107017 0.421630i
\(585\) −3.26310 1.35736i −0.134913 0.0561201i
\(586\) 14.1631 2.08579i 0.585071 0.0861630i
\(587\) −10.8758 13.2522i −0.448891 0.546975i 0.498569 0.866850i \(-0.333859\pi\)
−0.947460 + 0.319875i \(0.896359\pi\)
\(588\) 13.6154 11.1093i 0.561488 0.458140i
\(589\) 22.2039 + 41.5407i 0.914898 + 1.71165i
\(590\) 0.159090 + 0.337279i 0.00654965 + 0.0138856i
\(591\) 34.6048 + 28.4429i 1.42345 + 1.16999i
\(592\) −3.56553 + 11.5797i −0.146543 + 0.475924i
\(593\) 7.11924 + 17.1874i 0.292352 + 0.705801i 1.00000 0.000764900i \(-0.000243475\pi\)
−0.707647 + 0.706566i \(0.750243\pi\)
\(594\) 0.0901107 1.71865i 0.00369729 0.0705171i
\(595\) −3.02969 0.919047i −0.124205 0.0376773i
\(596\) −16.0647 6.69355i −0.658037 0.274179i
\(597\) 38.9387 + 16.1632i 1.59366 + 0.661515i
\(598\) 22.4458 + 5.64729i 0.917878 + 0.230935i
\(599\) 17.1982 25.7390i 0.702701 1.05167i −0.292732 0.956195i \(-0.594564\pi\)
0.995432 0.0954712i \(-0.0304358\pi\)
\(600\) −23.8109 1.26243i −0.972077 0.0515386i
\(601\) −37.6688 + 25.1695i −1.53654 + 1.02669i −0.555817 + 0.831305i \(0.687594\pi\)
−0.980727 + 0.195381i \(0.937406\pi\)
\(602\) 5.62801 11.8674i 0.229381 0.483678i
\(603\) 10.7032 + 3.26434i 0.435869 + 0.132934i
\(604\) −28.8678 + 23.5905i −1.17461 + 0.959884i
\(605\) 2.53021 3.08307i 0.102868 0.125345i
\(606\) 36.3950 + 1.85345i 1.47845 + 0.0752911i
\(607\) −10.2266 10.2266i −0.415086 0.415086i 0.468420 0.883506i \(-0.344823\pi\)
−0.883506 + 0.468420i \(0.844823\pi\)
\(608\) −33.1431 + 19.6308i −1.34413 + 0.796136i
\(609\) −17.0576 + 9.10100i −0.691207 + 0.368791i
\(610\) 1.20777 2.01029i 0.0489014 0.0813942i
\(611\) 8.57828 10.4527i 0.347040 0.422869i
\(612\) 35.8946 + 11.0293i 1.45095 + 0.445835i
\(613\) 6.40177 1.94196i 0.258565 0.0784349i −0.158341 0.987385i \(-0.550614\pi\)
0.416906 + 0.908950i \(0.363114\pi\)
\(614\) −21.8536 + 7.79363i −0.881941 + 0.314525i
\(615\) −0.472516 + 0.142949i −0.0190537 + 0.00576426i
\(616\) −0.918631 + 0.0422463i −0.0370127 + 0.00170215i
\(617\) −12.8196 + 19.1859i −0.516097 + 0.772394i −0.994387 0.105809i \(-0.966257\pi\)
0.478290 + 0.878202i \(0.341257\pi\)
\(618\) 4.71514 + 18.9682i 0.189671 + 0.763015i
\(619\) 26.9542 + 2.65475i 1.08338 + 0.106704i 0.623914 0.781493i \(-0.285541\pi\)
0.459464 + 0.888196i \(0.348041\pi\)
\(620\) 5.04117 + 0.0105241i 0.202458 + 0.000422658i
\(621\) 24.3255 10.0118i 0.976148 0.401761i
\(622\) −0.888558 18.4806i −0.0356279 0.741005i
\(623\) 4.82979 + 11.6601i 0.193501 + 0.467154i
\(624\) 6.60729 21.4012i 0.264503 0.856735i
\(625\) −8.81161 + 21.2731i −0.352464 + 0.850924i
\(626\) −5.86527 2.10554i −0.234423 0.0841542i
\(627\) −2.70959 + 0.536858i −0.108211 + 0.0214400i
\(628\) −16.7028 + 11.1101i −0.666513 + 0.443340i
\(629\) −12.0264 14.6542i −0.479524 0.584301i
\(630\) 0.717905 + 2.02262i 0.0286020 + 0.0805833i
\(631\) 4.74394 + 23.8494i 0.188853 + 0.949429i 0.952672 + 0.303999i \(0.0983220\pi\)
−0.763819 + 0.645430i \(0.776678\pi\)
\(632\) 18.4635 16.6293i 0.734437 0.661477i
\(633\) −16.7469 + 31.2748i −0.665631 + 1.24306i
\(634\) 25.7857 + 1.29375i 1.02408 + 0.0513816i
\(635\) 0.820516 1.53508i 0.0325612 0.0609177i
\(636\) −3.33764 17.0319i −0.132346 0.675360i
\(637\) 16.3206 1.60744i 0.646646 0.0636891i
\(638\) −2.63386 0.393507i −0.104276 0.0155791i
\(639\) −36.2107 24.2739i −1.43247 0.960260i
\(640\) 0.172199 + 4.11910i 0.00680676 + 0.162822i
\(641\) 17.2720i 0.682204i 0.940026 + 0.341102i \(0.110800\pi\)
−0.940026 + 0.341102i \(0.889200\pi\)
\(642\) −31.4449 14.9414i −1.24103 0.589691i
\(643\) 1.64863 + 16.7388i 0.0650157 + 0.660115i 0.971366 + 0.237588i \(0.0763569\pi\)
−0.906350 + 0.422527i \(0.861143\pi\)
\(644\) −6.60001 12.4100i −0.260077 0.489022i
\(645\) −2.98345 2.98793i −0.117473 0.117650i
\(646\) 3.02015 60.1944i 0.118826 2.36832i
\(647\) 3.29426 16.5614i 0.129511 0.651095i −0.860425 0.509577i \(-0.829802\pi\)
0.989936 0.141518i \(-0.0451982\pi\)
\(648\) −8.42864 24.0200i −0.331108 0.943593i
\(649\) −0.166219 + 0.0330631i −0.00652468 + 0.00129784i
\(650\) −17.8597 13.2746i −0.700516 0.520672i
\(651\) 6.35340 + 15.3711i 0.249009 + 0.602440i
\(652\) −8.53727 + 5.67868i −0.334345 + 0.222394i
\(653\) −15.6556 29.2895i −0.612649 1.14619i −0.976660 0.214791i \(-0.931093\pi\)
0.364011 0.931395i \(-0.381407\pi\)
\(654\) −0.817440 + 1.09807i −0.0319645 + 0.0429378i
\(655\) −3.37836 1.39936i −0.132003 0.0546776i
\(656\) −1.18520 2.89546i −0.0462743 0.113049i
\(657\) 2.19165 10.9324i 0.0855046 0.426513i
\(658\) −8.20228 + 0.394370i −0.319758 + 0.0153742i
\(659\) 29.7080 + 9.01182i 1.15726 + 0.351051i 0.809835 0.586657i \(-0.199556\pi\)
0.347424 + 0.937708i \(0.387056\pi\)
\(660\) −0.0866206 + 0.282659i −0.00337170 + 0.0110025i
\(661\) −2.69517 + 27.3645i −0.104830 + 1.06436i 0.788525 + 0.615003i \(0.210845\pi\)
−0.893354 + 0.449353i \(0.851655\pi\)
\(662\) −38.6349 + 23.1021i −1.50159 + 0.897888i
\(663\) 22.2116 + 27.1063i 0.862626 + 1.05272i
\(664\) 18.1849 19.9381i 0.705710 0.773747i
\(665\) 2.86424 1.91382i 0.111070 0.0742148i
\(666\) −3.15430 + 12.4581i −0.122227 + 0.482741i
\(667\) −11.8160 38.9520i −0.457516 1.50823i
\(668\) −31.6515 + 9.52927i −1.22463 + 0.368699i
\(669\) −22.6656 + 15.1201i −0.876301 + 0.584575i
\(670\) −1.64769 0.989928i −0.0636559 0.0382442i
\(671\) 0.753635 + 0.753635i 0.0290937 + 0.0290937i
\(672\) −12.3306 + 5.74211i −0.475663 + 0.221507i
\(673\) 3.53187 3.53187i 0.136144 0.136144i −0.635751 0.771894i \(-0.719309\pi\)
0.771894 + 0.635751i \(0.219309\pi\)
\(674\) 48.3988 12.0696i 1.86425 0.464904i
\(675\) −25.2907 0.0569518i −0.973440 0.00219207i
\(676\) −3.94686 + 3.22534i −0.151802 + 0.124051i
\(677\) 7.03619 2.13441i 0.270423 0.0820319i −0.152161 0.988356i \(-0.548623\pi\)
0.422584 + 0.906324i \(0.361123\pi\)
\(678\) −4.00963 + 4.40803i −0.153989 + 0.169289i
\(679\) −9.80921 14.6805i −0.376443 0.563387i
\(680\) −5.52234 3.33351i −0.211772 0.127834i
\(681\) −23.3959 28.5517i −0.896535 1.09410i
\(682\) −0.558990 + 2.22177i −0.0214048 + 0.0850761i
\(683\) 12.3672 + 1.21806i 0.473216 + 0.0466078i 0.331815 0.943345i \(-0.392339\pi\)
0.141402 + 0.989952i \(0.454839\pi\)
\(684\) −34.0528 + 22.5770i −1.30204 + 0.863254i
\(685\) 0.768609 2.53377i 0.0293671 0.0968102i
\(686\) −17.5456 15.9358i −0.669893 0.608431i
\(687\) 0.838353 + 8.57795i 0.0319852 + 0.327269i
\(688\) 17.0625 20.6145i 0.650500 0.785922i
\(689\) 6.19846 14.9644i 0.236143 0.570099i
\(690\) −4.47097 + 0.655008i −0.170207 + 0.0249357i
\(691\) 3.10721 1.66084i 0.118204 0.0631812i −0.411235 0.911529i \(-0.634902\pi\)
0.529439 + 0.848348i \(0.322402\pi\)
\(692\) −17.4935 11.7417i −0.665003 0.446352i
\(693\) −0.970831 + 0.0941471i −0.0368788 + 0.00357635i
\(694\) 2.21152 + 15.0169i 0.0839483 + 0.570032i
\(695\) 0.425640 + 2.13984i 0.0161454 + 0.0811686i
\(696\) −38.2468 + 9.42268i −1.44974 + 0.357166i
\(697\) 4.80108 + 0.954994i 0.181854 + 0.0361730i
\(698\) 16.3755 + 18.1055i 0.619823 + 0.685305i
\(699\) 27.1720 + 27.2129i 1.02774 + 1.02928i
\(700\) 1.29651 + 13.4515i 0.0490034 + 0.508418i
\(701\) −52.3213 + 5.15320i −1.97615 + 0.194633i −0.999770 0.0214408i \(-0.993175\pi\)
−0.976377 + 0.216074i \(0.930675\pi\)
\(702\) 5.84831 23.0255i 0.220730 0.869043i
\(703\) 20.6265 0.777943
\(704\) −1.83527 0.377023i −0.0691695 0.0142096i
\(705\) −0.768224 + 2.52567i −0.0289330 + 0.0951222i
\(706\) 38.1298 28.2173i 1.43503 1.06197i
\(707\) −2.02441 20.5542i −0.0761359 0.773020i
\(708\) −2.08823 + 1.38675i −0.0784805 + 0.0521174i
\(709\) 15.2539 + 8.15338i 0.572872 + 0.306207i 0.732277 0.681007i \(-0.238458\pi\)
−0.159405 + 0.987213i \(0.550958\pi\)
\(710\) 5.02320 + 5.55388i 0.188517 + 0.208433i
\(711\) 18.6641 18.6081i 0.699958 0.697860i
\(712\) 3.69333 + 25.4471i 0.138413 + 0.953672i
\(713\) −34.3447 + 6.83159i −1.28622 + 0.255845i
\(714\) 3.16049 21.0460i 0.118278 0.787628i
\(715\) −0.213274 + 0.175029i −0.00797598 + 0.00654572i
\(716\) −0.541182 2.75070i −0.0202249 0.102799i
\(717\) −3.86726 + 0.766229i −0.144426 + 0.0286153i
\(718\) −10.2034 21.6316i −0.380786 0.807284i
\(719\) 44.3262 + 18.3605i 1.65309 + 0.684731i 0.997518 0.0704053i \(-0.0224292\pi\)
0.655568 + 0.755136i \(0.272429\pi\)
\(720\) 0.403898 + 4.35409i 0.0150524 + 0.162267i
\(721\) 10.2342 4.23915i 0.381142 0.157874i
\(722\) 28.6527 + 26.0239i 1.06634 + 0.968508i
\(723\) −10.8912 7.28910i −0.405048 0.271084i
\(724\) −10.4766 25.4428i −0.389359 0.945575i
\(725\) −3.83590 + 38.9465i −0.142462 + 1.44644i
\(726\) 22.9710 + 13.8244i 0.852532 + 0.513070i
\(727\) −5.55991 3.71501i −0.206206 0.137782i 0.448180 0.893944i \(-0.352073\pi\)
−0.654385 + 0.756161i \(0.727073\pi\)
\(728\) −12.5508 1.90192i −0.465163 0.0704898i
\(729\) −10.2200 24.9910i −0.378519 0.925594i
\(730\) −0.820712 + 1.73057i −0.0303759 + 0.0640514i
\(731\) 12.1539 + 40.0661i 0.449529 + 1.48190i
\(732\) 14.5473 + 6.07412i 0.537684 + 0.224506i
\(733\) −37.1824 30.5148i −1.37336 1.12709i −0.978009 0.208562i \(-0.933122\pi\)
−0.395355 0.918528i \(-0.629378\pi\)
\(734\) 11.7779 2.93715i 0.434731 0.108412i
\(735\) −2.82479 + 1.50715i −0.104194 + 0.0555922i
\(736\) −6.81327 27.8152i −0.251141 1.02528i
\(737\) 0.617701 0.617701i 0.0227533 0.0227533i
\(738\) −1.41117 3.00342i −0.0519459 0.110557i
\(739\) −16.4924 13.5350i −0.606683 0.497892i 0.280166 0.959952i \(-0.409611\pi\)
−0.886849 + 0.462060i \(0.847111\pi\)
\(740\) 1.04470 1.94472i 0.0384040 0.0714895i
\(741\) −38.1300 0.0286214i −1.40074 0.00105143i
\(742\) −9.26492 + 3.30414i −0.340126 + 0.121299i
\(743\) 2.13834 + 3.20025i 0.0784480 + 0.117406i 0.868619 0.495481i \(-0.165008\pi\)
−0.790171 + 0.612887i \(0.790008\pi\)
\(744\) 4.84207 + 33.5391i 0.177519 + 1.22960i
\(745\) 2.63650 + 1.76165i 0.0965938 + 0.0645419i
\(746\) −22.1862 + 13.2664i −0.812294 + 0.485718i
\(747\) 18.1911 22.0981i 0.665576 0.808529i
\(748\) 2.07719 2.06853i 0.0759496 0.0756331i
\(749\) −5.72760 + 18.8814i −0.209282 + 0.689910i
\(750\) 8.53958 + 2.15535i 0.311821 + 0.0787021i
\(751\) −13.5951 + 5.63126i −0.496091 + 0.205488i −0.616679 0.787215i \(-0.711522\pi\)
0.120588 + 0.992703i \(0.461522\pi\)
\(752\) −16.3954 3.33248i −0.597879 0.121523i
\(753\) 15.9652 + 13.1223i 0.581803 + 0.478205i
\(754\) −34.5992 12.4205i −1.26003 0.452330i
\(755\) 5.99049 3.20198i 0.218016 0.116532i
\(756\) −12.7530 + 6.74562i −0.463821 + 0.245336i
\(757\) −26.6026 + 21.8322i −0.966886 + 0.793503i −0.978461 0.206430i \(-0.933815\pi\)
0.0115751 + 0.999933i \(0.496315\pi\)
\(758\) 31.8616 + 23.6818i 1.15726 + 0.860160i
\(759\) 0.202818 2.04352i 0.00736184 0.0741752i
\(760\) 6.61553 2.34373i 0.239970 0.0850161i
\(761\) 16.5166 + 3.28535i 0.598726 + 0.119094i 0.485143 0.874435i \(-0.338767\pi\)
0.113582 + 0.993529i \(0.463767\pi\)
\(762\) 11.0093 + 3.96150i 0.398825 + 0.143510i
\(763\) 0.684230 + 0.365729i 0.0247708 + 0.0132403i
\(764\) 5.11457 16.7346i 0.185039 0.605438i
\(765\) −6.02904 3.23423i −0.217980 0.116934i
\(766\) −10.4689 1.56408i −0.378255 0.0565124i
\(767\) −2.33942 −0.0844716
\(768\) −27.2284 + 5.15891i −0.982520 + 0.186156i
\(769\) 11.6389 0.419708 0.209854 0.977733i \(-0.432701\pi\)
0.209854 + 0.977733i \(0.432701\pi\)
\(770\) 0.165712 + 0.0247578i 0.00597183 + 0.000892209i
\(771\) 40.9095 + 8.16933i 1.47332 + 0.294211i
\(772\) 2.35526 7.70631i 0.0847678 0.277356i
\(773\) −8.57280 4.58226i −0.308342