Properties

Label 576.2.bm.a.13.27
Level $576$
Weight $2$
Character 576.13
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 13.27
Character \(\chi\) \(=\) 576.13
Dual form 576.2.bm.a.133.27

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.864680 - 1.11907i) q^{2} +(0.0730485 - 1.73051i) q^{3} +(-0.504657 + 1.93528i) q^{4} +(-0.545923 + 1.60824i) q^{5} +(-1.99973 + 1.41459i) q^{6} +(1.46484 - 1.90902i) q^{7} +(2.60209 - 1.10865i) q^{8} +(-2.98933 - 0.252822i) q^{9} +O(q^{10})\) \(q+(-0.864680 - 1.11907i) q^{2} +(0.0730485 - 1.73051i) q^{3} +(-0.504657 + 1.93528i) q^{4} +(-0.545923 + 1.60824i) q^{5} +(-1.99973 + 1.41459i) q^{6} +(1.46484 - 1.90902i) q^{7} +(2.60209 - 1.10865i) q^{8} +(-2.98933 - 0.252822i) q^{9} +(2.27178 - 0.779681i) q^{10} +(6.33672 + 0.415331i) q^{11} +(3.31216 + 1.01468i) q^{12} +(-1.78614 + 2.03671i) q^{13} +(-3.40295 + 0.0114225i) q^{14} +(2.74319 + 1.06220i) q^{15} +(-3.49064 - 1.95331i) q^{16} +(2.76608 + 2.76608i) q^{17} +(2.30188 + 3.56389i) q^{18} +(1.19129 - 5.98901i) q^{19} +(-2.83689 - 1.86812i) q^{20} +(-3.19657 - 2.67437i) q^{21} +(-5.01445 - 7.45040i) q^{22} +(1.61526 - 1.23943i) q^{23} +(-1.72845 - 4.58393i) q^{24} +(1.67838 + 1.28786i) q^{25} +(3.82367 + 0.237730i) q^{26} +(-0.655878 + 5.15459i) q^{27} +(2.95524 + 3.79828i) q^{28} +(3.38422 - 6.86252i) q^{29} +(-1.18329 - 3.98830i) q^{30} +(-6.62077 - 3.82250i) q^{31} +(0.832387 + 5.59528i) q^{32} +(1.18162 - 10.9354i) q^{33} +(0.703678 - 5.48723i) q^{34} +(2.27046 + 3.39798i) q^{35} +(1.99787 - 5.65761i) q^{36} +(-1.71391 - 8.61640i) q^{37} +(-7.73223 + 3.84543i) q^{38} +(3.39407 + 3.23972i) q^{39} +(0.362430 + 4.79002i) q^{40} +(3.28173 - 2.51816i) q^{41} +(-0.228814 + 5.88967i) q^{42} +(-0.389070 + 5.93606i) q^{43} +(-4.00166 + 12.0538i) q^{44} +(2.03854 - 4.66952i) q^{45} +(-2.78370 - 0.735885i) q^{46} +(1.18052 - 4.40576i) q^{47} +(-3.63521 + 5.89790i) q^{48} +(0.313147 + 1.16868i) q^{49} +(-0.0100425 - 2.99182i) q^{50} +(4.98879 - 4.58468i) q^{51} +(-3.04021 - 4.48453i) q^{52} +(-2.39492 + 3.58425i) q^{53} +(6.33550 - 3.72310i) q^{54} +(-4.12731 + 9.96421i) q^{55} +(1.69522 - 6.59143i) q^{56} +(-10.2770 - 2.49902i) q^{57} +(-10.6059 + 2.14669i) q^{58} +(-2.77084 + 8.16262i) q^{59} +(-3.44004 + 4.77280i) q^{60} +(-9.29750 - 4.58502i) q^{61} +(1.44718 + 10.7144i) q^{62} +(-4.86153 + 5.33633i) q^{63} +(5.54179 - 5.76963i) q^{64} +(-2.30041 - 3.98443i) q^{65} +(-13.2593 + 8.13331i) q^{66} +(-0.821851 - 12.5390i) q^{67} +(-6.74908 + 3.95723i) q^{68} +(-2.02686 - 2.88576i) q^{69} +(1.83938 - 5.47898i) q^{70} +(1.14357 + 2.76083i) q^{71} +(-8.05880 + 2.65625i) q^{72} +(-3.73050 + 9.00622i) q^{73} +(-8.16041 + 9.36842i) q^{74} +(2.35126 - 2.81037i) q^{75} +(10.9892 + 5.32788i) q^{76} +(10.0752 - 11.4885i) q^{77} +(0.690707 - 6.59953i) q^{78} +(13.9967 + 3.75042i) q^{79} +(5.04700 - 4.54742i) q^{80} +(8.87216 + 1.51154i) q^{81} +(-5.65565 - 1.49510i) q^{82} +(-2.92606 + 0.993263i) q^{83} +(6.78883 - 4.83662i) q^{84} +(-5.95858 + 2.93845i) q^{85} +(6.97931 - 4.69739i) q^{86} +(-11.6284 - 6.35773i) q^{87} +(16.9492 - 5.94448i) q^{88} +(14.7802 - 6.12217i) q^{89} +(-6.98823 + 1.75636i) q^{90} +(1.27169 + 6.39323i) q^{91} +(1.58350 + 3.75148i) q^{92} +(-7.09851 + 11.1781i) q^{93} +(-5.95115 + 2.48848i) q^{94} +(8.98139 + 5.18541i) q^{95} +(9.74349 - 1.03173i) q^{96} +(7.37158 - 4.25599i) q^{97} +(1.03707 - 1.36097i) q^{98} +(-18.8375 - 2.84363i) 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 \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.864680 1.11907i −0.611421 0.791305i
\(3\) 0.0730485 1.73051i 0.0421746 0.999110i
\(4\) −0.504657 + 1.93528i −0.252329 + 0.967642i
\(5\) −0.545923 + 1.60824i −0.244144 + 0.719225i 0.753916 + 0.656970i \(0.228162\pi\)
−0.998060 + 0.0622545i \(0.980171\pi\)
\(6\) −1.99973 + 1.41459i −0.816388 + 0.577504i
\(7\) 1.46484 1.90902i 0.553657 0.721540i −0.429751 0.902947i \(-0.641399\pi\)
0.983408 + 0.181408i \(0.0580653\pi\)
\(8\) 2.60209 1.10865i 0.919979 0.391967i
\(9\) −2.98933 0.252822i −0.996443 0.0842741i
\(10\) 2.27178 0.779681i 0.718401 0.246557i
\(11\) 6.33672 + 0.415331i 1.91059 + 0.125227i 0.974195 0.225710i \(-0.0724701\pi\)
0.936399 + 0.350937i \(0.114137\pi\)
\(12\) 3.31216 + 1.01468i 0.956139 + 0.292914i
\(13\) −1.78614 + 2.03671i −0.495387 + 0.564881i −0.944465 0.328612i \(-0.893419\pi\)
0.449078 + 0.893493i \(0.351753\pi\)
\(14\) −3.40295 + 0.0114225i −0.909476 + 0.00305279i
\(15\) 2.74319 + 1.06220i 0.708288 + 0.274260i
\(16\) −3.49064 1.95331i −0.872660 0.488328i
\(17\) 2.76608 + 2.76608i 0.670874 + 0.670874i 0.957917 0.287044i \(-0.0926725\pi\)
−0.287044 + 0.957917i \(0.592673\pi\)
\(18\) 2.30188 + 3.56389i 0.542559 + 0.840017i
\(19\) 1.19129 5.98901i 0.273300 1.37397i −0.563342 0.826224i \(-0.690485\pi\)
0.836643 0.547749i \(-0.184515\pi\)
\(20\) −2.83689 1.86812i −0.634347 0.417725i
\(21\) −3.19657 2.67437i −0.697548 0.583595i
\(22\) −5.01445 7.45040i −1.06908 1.58843i
\(23\) 1.61526 1.23943i 0.336805 0.258440i −0.426486 0.904494i \(-0.640249\pi\)
0.763291 + 0.646054i \(0.223582\pi\)
\(24\) −1.72845 4.58393i −0.352819 0.935692i
\(25\) 1.67838 + 1.28786i 0.335675 + 0.257573i
\(26\) 3.82367 + 0.237730i 0.749884 + 0.0466226i
\(27\) −0.655878 + 5.15459i −0.126224 + 0.992002i
\(28\) 2.95524 + 3.79828i 0.558488 + 0.717807i
\(29\) 3.38422 6.86252i 0.628434 1.27434i −0.316969 0.948436i \(-0.602665\pi\)
0.945403 0.325903i \(-0.105668\pi\)
\(30\) −1.18329 3.98830i −0.216039 0.728161i
\(31\) −6.62077 3.82250i −1.18912 0.686541i −0.231017 0.972950i \(-0.574205\pi\)
−0.958108 + 0.286408i \(0.907539\pi\)
\(32\) 0.832387 + 5.59528i 0.147147 + 0.989115i
\(33\) 1.18162 10.9354i 0.205694 1.90361i
\(34\) 0.703678 5.48723i 0.120680 0.941052i
\(35\) 2.27046 + 3.39798i 0.383777 + 0.574364i
\(36\) 1.99787 5.65761i 0.332978 0.942935i
\(37\) −1.71391 8.61640i −0.281765 1.41653i −0.819339 0.573310i \(-0.805659\pi\)
0.537574 0.843217i \(-0.319341\pi\)
\(38\) −7.73223 + 3.84543i −1.25433 + 0.623812i
\(39\) 3.39407 + 3.23972i 0.543486 + 0.518770i
\(40\) 0.362430 + 4.79002i 0.0573053 + 0.757368i
\(41\) 3.28173 2.51816i 0.512520 0.393270i −0.319870 0.947462i \(-0.603639\pi\)
0.832389 + 0.554191i \(0.186972\pi\)
\(42\) −0.228814 + 5.88967i −0.0353067 + 0.908796i
\(43\) −0.389070 + 5.93606i −0.0593326 + 0.905240i 0.859635 + 0.510908i \(0.170691\pi\)
−0.918968 + 0.394332i \(0.870976\pi\)
\(44\) −4.00166 + 12.0538i −0.603272 + 1.81717i
\(45\) 2.03854 4.66952i 0.303888 0.696091i
\(46\) −2.78370 0.735885i −0.410435 0.108500i
\(47\) 1.18052 4.40576i 0.172196 0.642646i −0.824816 0.565402i \(-0.808721\pi\)
0.997012 0.0772444i \(-0.0246122\pi\)
\(48\) −3.63521 + 5.89790i −0.524697 + 0.851289i
\(49\) 0.313147 + 1.16868i 0.0447353 + 0.166954i
\(50\) −0.0100425 2.99182i −0.00142022 0.423107i
\(51\) 4.98879 4.58468i 0.698571 0.641983i
\(52\) −3.04021 4.48453i −0.421602 0.621893i
\(53\) −2.39492 + 3.58425i −0.328967 + 0.492334i −0.958677 0.284496i \(-0.908174\pi\)
0.629710 + 0.776830i \(0.283174\pi\)
\(54\) 6.33550 3.72310i 0.862152 0.506649i
\(55\) −4.12731 + 9.96421i −0.556526 + 1.34357i
\(56\) 1.69522 6.59143i 0.226533 0.880817i
\(57\) −10.2770 2.49902i −1.36122 0.331004i
\(58\) −10.6059 + 2.14669i −1.39263 + 0.281874i
\(59\) −2.77084 + 8.16262i −0.360732 + 1.06268i 0.603441 + 0.797408i \(0.293796\pi\)
−0.964173 + 0.265275i \(0.914537\pi\)
\(60\) −3.44004 + 4.77280i −0.444107 + 0.616166i
\(61\) −9.29750 4.58502i −1.19042 0.587052i −0.264362 0.964424i \(-0.585161\pi\)
−0.926062 + 0.377372i \(0.876828\pi\)
\(62\) 1.44718 + 10.7144i 0.183792 + 1.36073i
\(63\) −4.86153 + 5.33633i −0.612495 + 0.672314i
\(64\) 5.54179 5.76963i 0.692723 0.721203i
\(65\) −2.30041 3.98443i −0.285331 0.494207i
\(66\) −13.2593 + 8.13331i −1.63210 + 1.00114i
\(67\) −0.821851 12.5390i −0.100405 1.53189i −0.689776 0.724023i \(-0.742291\pi\)
0.589371 0.807863i \(-0.299376\pi\)
\(68\) −6.74908 + 3.95723i −0.818446 + 0.479885i
\(69\) −2.02686 2.88576i −0.244005 0.347405i
\(70\) 1.83938 5.47898i 0.219847 0.654863i
\(71\) 1.14357 + 2.76083i 0.135717 + 0.327650i 0.977097 0.212794i \(-0.0682563\pi\)
−0.841380 + 0.540444i \(0.818256\pi\)
\(72\) −8.05880 + 2.65625i −0.949739 + 0.313042i
\(73\) −3.73050 + 9.00622i −0.436622 + 1.05410i 0.540486 + 0.841353i \(0.318240\pi\)
−0.977108 + 0.212745i \(0.931760\pi\)
\(74\) −8.16041 + 9.36842i −0.948629 + 1.08906i
\(75\) 2.35126 2.81037i 0.271500 0.324513i
\(76\) 10.9892 + 5.32788i 1.26055 + 0.611149i
\(77\) 10.0752 11.4885i 1.14817 1.30924i
\(78\) 0.690707 6.59953i 0.0782072 0.747250i
\(79\) 13.9967 + 3.75042i 1.57476 + 0.421955i 0.937298 0.348529i \(-0.113319\pi\)
0.637459 + 0.770484i \(0.279985\pi\)
\(80\) 5.04700 4.54742i 0.564272 0.508417i
\(81\) 8.87216 + 1.51154i 0.985796 + 0.167949i
\(82\) −5.65565 1.49510i −0.624562 0.165106i
\(83\) −2.92606 + 0.993263i −0.321177 + 0.109025i −0.477372 0.878701i \(-0.658410\pi\)
0.156195 + 0.987726i \(0.450077\pi\)
\(84\) 6.78883 4.83662i 0.740722 0.527718i
\(85\) −5.95858 + 2.93845i −0.646299 + 0.318719i
\(86\) 6.97931 4.69739i 0.752599 0.506533i
\(87\) −11.6284 6.35773i −1.24670 0.681620i
\(88\) 16.9492 5.94448i 1.80679 0.633684i
\(89\) 14.7802 6.12217i 1.56670 0.648948i 0.580463 0.814287i \(-0.302872\pi\)
0.986237 + 0.165338i \(0.0528716\pi\)
\(90\) −6.98823 + 1.75636i −0.736624 + 0.185137i
\(91\) 1.27169 + 6.39323i 0.133310 + 0.670192i
\(92\) 1.58350 + 3.75148i 0.165091 + 0.391119i
\(93\) −7.09851 + 11.1781i −0.736081 + 1.15911i
\(94\) −5.95115 + 2.48848i −0.613814 + 0.256667i
\(95\) 8.98139 + 5.18541i 0.921471 + 0.532012i
\(96\) 9.74349 1.03173i 0.994440 0.105300i
\(97\) 7.37158 4.25599i 0.748471 0.432130i −0.0766702 0.997057i \(-0.524429\pi\)
0.825141 + 0.564927i \(0.191096\pi\)
\(98\) 1.03707 1.36097i 0.104760 0.137479i
\(99\) −18.8375 2.84363i −1.89324 0.285795i
\(100\) −3.33938 + 2.59820i −0.333938 + 0.259820i
\(101\) 2.12783 1.86606i 0.211727 0.185680i −0.546913 0.837189i \(-0.684197\pi\)
0.758640 + 0.651510i \(0.225864\pi\)
\(102\) −9.44430 1.61856i −0.935125 0.160261i
\(103\) 0.410978 3.12169i 0.0404949 0.307589i −0.959196 0.282741i \(-0.908756\pi\)
0.999691 0.0248483i \(-0.00791028\pi\)
\(104\) −2.38972 + 7.27991i −0.234331 + 0.713854i
\(105\) 6.04609 3.68083i 0.590038 0.359212i
\(106\) 6.08188 0.419134i 0.590724 0.0407099i
\(107\) −0.224449 0.149972i −0.0216983 0.0144983i 0.544674 0.838648i \(-0.316653\pi\)
−0.566372 + 0.824150i \(0.691653\pi\)
\(108\) −9.64460 3.87061i −0.928052 0.372450i
\(109\) −0.0751852 + 0.377981i −0.00720143 + 0.0362040i −0.984219 0.176955i \(-0.943375\pi\)
0.977017 + 0.213159i \(0.0683753\pi\)
\(110\) 14.7195 3.99708i 1.40345 0.381107i
\(111\) −15.0360 + 2.33652i −1.42715 + 0.221773i
\(112\) −8.84213 + 3.80240i −0.835502 + 0.359293i
\(113\) 0.868862 + 3.24264i 0.0817357 + 0.305042i 0.994676 0.103051i \(-0.0328606\pi\)
−0.912940 + 0.408093i \(0.866194\pi\)
\(114\) 6.08973 + 13.6616i 0.570356 + 1.27953i
\(115\) 1.11149 + 3.27436i 0.103647 + 0.305335i
\(116\) 11.5731 + 10.0127i 1.07453 + 0.929651i
\(117\) 5.85430 5.63681i 0.541230 0.521123i
\(118\) 11.5305 3.95728i 1.06147 0.364297i
\(119\) 9.33236 1.22863i 0.855496 0.112628i
\(120\) 8.31565 0.277285i 0.759111 0.0253126i
\(121\) 29.0757 + 3.82788i 2.64324 + 0.347989i
\(122\) 2.90838 + 14.3692i 0.263312 + 1.30092i
\(123\) −4.11797 5.86301i −0.371305 0.528650i
\(124\) 10.7388 10.8840i 0.964376 0.977412i
\(125\) −10.0482 + 6.71396i −0.898734 + 0.600515i
\(126\) 10.1754 + 0.826196i 0.906498 + 0.0736034i
\(127\) 13.7021 1.21587 0.607934 0.793987i \(-0.291998\pi\)
0.607934 + 0.793987i \(0.291998\pi\)
\(128\) −11.2485 1.21279i −0.994238 0.107197i
\(129\) 10.2440 + 1.10691i 0.901932 + 0.0974579i
\(130\) −2.46975 + 6.01958i −0.216612 + 0.527952i
\(131\) 0.357470 + 5.45394i 0.0312323 + 0.476513i 0.984614 + 0.174745i \(0.0559101\pi\)
−0.953381 + 0.301768i \(0.902423\pi\)
\(132\) 20.5668 + 7.80542i 1.79011 + 0.679374i
\(133\) −9.68806 11.0471i −0.840062 0.957907i
\(134\) −13.3215 + 11.7620i −1.15080 + 1.01608i
\(135\) −7.93174 3.86881i −0.682656 0.332974i
\(136\) 10.2642 + 4.13099i 0.880150 + 0.354229i
\(137\) −13.0768 + 1.72160i −1.11723 + 0.147086i −0.666450 0.745550i \(-0.732187\pi\)
−0.450778 + 0.892636i \(0.648854\pi\)
\(138\) −1.47680 + 4.76347i −0.125714 + 0.405494i
\(139\) 0.814765 + 1.65218i 0.0691074 + 0.140136i 0.928685 0.370869i \(-0.120940\pi\)
−0.859578 + 0.511005i \(0.829273\pi\)
\(140\) −7.72186 + 2.67916i −0.652616 + 0.226431i
\(141\) −7.53797 2.36473i −0.634812 0.199147i
\(142\) 2.10075 3.66698i 0.176291 0.307726i
\(143\) −12.1642 + 12.1642i −1.01722 + 1.01722i
\(144\) 9.94083 + 6.72160i 0.828403 + 0.560133i
\(145\) 9.18903 + 9.18903i 0.763108 + 0.763108i
\(146\) 13.3043 3.61279i 1.10107 0.298997i
\(147\) 2.04529 0.456534i 0.168693 0.0376543i
\(148\) 17.5401 + 1.03143i 1.44179 + 0.0847832i
\(149\) −8.20301 + 4.04528i −0.672017 + 0.331402i −0.746085 0.665851i \(-0.768069\pi\)
0.0740676 + 0.997253i \(0.476402\pi\)
\(150\) −5.17810 0.201169i −0.422790 0.0164254i
\(151\) 0.337403 + 2.56283i 0.0274575 + 0.208560i 0.999674 0.0255220i \(-0.00812479\pi\)
−0.972217 + 0.234082i \(0.924791\pi\)
\(152\) −3.53988 16.9047i −0.287122 1.37115i
\(153\) −7.56940 8.96806i −0.611950 0.725024i
\(154\) −21.5683 1.34097i −1.73802 0.108058i
\(155\) 9.76191 8.56096i 0.784095 0.687633i
\(156\) −7.98261 + 4.93353i −0.639121 + 0.394999i
\(157\) −9.06393 + 0.594081i −0.723380 + 0.0474129i −0.422646 0.906295i \(-0.638899\pi\)
−0.300735 + 0.953708i \(0.597232\pi\)
\(158\) −7.90571 18.9063i −0.628944 1.50411i
\(159\) 6.02763 + 4.40625i 0.478022 + 0.349439i
\(160\) −9.45294 1.71591i −0.747321 0.135655i
\(161\) 4.89913i 0.386106i
\(162\) −5.98006 11.2356i −0.469838 0.882753i
\(163\) −6.92046 10.3572i −0.542052 0.811239i 0.454794 0.890597i \(-0.349713\pi\)
−0.996846 + 0.0793580i \(0.974713\pi\)
\(164\) 3.21720 + 7.62188i 0.251221 + 0.595169i
\(165\) 16.9417 + 7.87022i 1.31891 + 0.612696i
\(166\) 3.64164 + 2.41562i 0.282646 + 0.187489i
\(167\) −0.910209 + 6.91372i −0.0704341 + 0.535000i 0.919459 + 0.393185i \(0.128627\pi\)
−0.989893 + 0.141814i \(0.954706\pi\)
\(168\) −11.2827 3.41508i −0.870480 0.263479i
\(169\) 0.738975 + 5.61308i 0.0568443 + 0.431775i
\(170\) 8.44061 + 4.12728i 0.647365 + 0.316548i
\(171\) −5.07531 + 17.6019i −0.388118 + 1.34605i
\(172\) −11.2916 3.74863i −0.860977 0.285831i
\(173\) −15.0211 + 5.09898i −1.14203 + 0.387668i −0.827438 0.561558i \(-0.810202\pi\)
−0.314596 + 0.949226i \(0.601869\pi\)
\(174\) 2.94011 + 18.5105i 0.222890 + 1.40328i
\(175\) 4.91710 1.31753i 0.371698 0.0995961i
\(176\) −21.3080 13.8274i −1.60615 1.04228i
\(177\) 13.9231 + 5.39123i 1.04652 + 0.405230i
\(178\) −19.6313 11.2465i −1.47143 0.842958i
\(179\) −3.88672 0.773116i −0.290507 0.0577854i 0.0476855 0.998862i \(-0.484815\pi\)
−0.338192 + 0.941077i \(0.609815\pi\)
\(180\) 8.00808 + 6.30166i 0.596887 + 0.469698i
\(181\) −5.53267 + 8.28023i −0.411240 + 0.615465i −0.978047 0.208386i \(-0.933179\pi\)
0.566806 + 0.823851i \(0.308179\pi\)
\(182\) 6.05489 6.95121i 0.448818 0.515258i
\(183\) −8.61359 + 15.7545i −0.636735 + 1.16461i
\(184\) 2.82896 5.01588i 0.208554 0.369776i
\(185\) 14.7929 + 1.94752i 1.08759 + 0.143184i
\(186\) 18.6470 1.72169i 1.36727 0.126240i
\(187\) 16.3791 + 18.6767i 1.19776 + 1.36578i
\(188\) 7.93063 + 4.50804i 0.578401 + 0.328783i
\(189\) 8.87944 + 8.80273i 0.645884 + 0.640304i
\(190\) −1.96317 14.5346i −0.142423 1.05445i
\(191\) 10.9907 + 19.0364i 0.795256 + 1.37742i 0.922676 + 0.385575i \(0.125997\pi\)
−0.127420 + 0.991849i \(0.540670\pi\)
\(192\) −9.57958 10.0116i −0.691346 0.722523i
\(193\) −5.24588 + 9.08613i −0.377607 + 0.654034i −0.990713 0.135966i \(-0.956586\pi\)
0.613107 + 0.790000i \(0.289920\pi\)
\(194\) −11.1368 4.56929i −0.799578 0.328056i
\(195\) −7.06313 + 3.68982i −0.505801 + 0.264234i
\(196\) −2.41976 + 0.0162448i −0.172840 + 0.00116034i
\(197\) 7.41582 1.47510i 0.528355 0.105096i 0.0762977 0.997085i \(-0.475690\pi\)
0.452058 + 0.891989i \(0.350690\pi\)
\(198\) 13.1062 + 23.5394i 0.931418 + 1.67288i
\(199\) −1.57763 3.80873i −0.111835 0.269994i 0.858046 0.513573i \(-0.171678\pi\)
−0.969881 + 0.243579i \(0.921678\pi\)
\(200\) 5.79508 + 1.49041i 0.409774 + 0.105388i
\(201\) −21.7589 + 0.506264i −1.53476 + 0.0357091i
\(202\) −3.92815 0.767660i −0.276384 0.0540124i
\(203\) −8.14332 16.5130i −0.571549 1.15899i
\(204\) 6.35501 + 11.9684i 0.444940 + 0.837957i
\(205\) 2.25822 + 6.65251i 0.157721 + 0.464632i
\(206\) −3.84877 + 2.23935i −0.268156 + 0.156023i
\(207\) −5.14190 + 3.29670i −0.357387 + 0.229136i
\(208\) 10.2131 3.62052i 0.708152 0.251038i
\(209\) 10.0363 37.4559i 0.694224 2.59088i
\(210\) −9.34706 3.58329i −0.645009 0.247270i
\(211\) 10.9320 + 9.58707i 0.752587 + 0.660001i 0.947114 0.320896i \(-0.103984\pi\)
−0.194528 + 0.980897i \(0.562317\pi\)
\(212\) −5.72792 6.44366i −0.393395 0.442553i
\(213\) 4.86118 1.77729i 0.333082 0.121778i
\(214\) 0.0262466 + 0.380853i 0.00179418 + 0.0260345i
\(215\) −9.33418 3.86634i −0.636585 0.263682i
\(216\) 4.00799 + 14.1399i 0.272709 + 0.962097i
\(217\) −16.9956 + 7.03979i −1.15373 + 0.477892i
\(218\) 0.488001 0.242695i 0.0330516 0.0164374i
\(219\) 15.3128 + 7.11355i 1.03475 + 0.480689i
\(220\) −17.2007 13.0160i −1.15967 0.877540i
\(221\) −10.5743 + 0.693078i −0.711306 + 0.0466215i
\(222\) 15.6160 + 14.8060i 1.04808 + 0.993715i
\(223\) −16.8821 + 9.74690i −1.13051 + 0.652701i −0.944063 0.329764i \(-0.893031\pi\)
−0.186448 + 0.982465i \(0.559697\pi\)
\(224\) 11.9008 + 6.60714i 0.795155 + 0.441458i
\(225\) −4.69161 4.27418i −0.312774 0.284945i
\(226\) 2.87747 3.77617i 0.191406 0.251187i
\(227\) −1.02533 + 2.07916i −0.0680534 + 0.137999i −0.928241 0.371979i \(-0.878679\pi\)
0.860188 + 0.509977i \(0.170346\pi\)
\(228\) 10.0227 18.6278i 0.663769 1.23366i
\(229\) −3.01864 1.02469i −0.199477 0.0677134i 0.219913 0.975520i \(-0.429423\pi\)
−0.419390 + 0.907806i \(0.637756\pi\)
\(230\) 2.70316 4.07512i 0.178241 0.268705i
\(231\) −19.1450 18.2744i −1.25965 1.20236i
\(232\) 1.19792 21.6088i 0.0786474 1.41869i
\(233\) −5.02111 2.07981i −0.328944 0.136253i 0.212099 0.977248i \(-0.431970\pi\)
−0.541042 + 0.840995i \(0.681970\pi\)
\(234\) −11.3701 1.67736i −0.743287 0.109653i
\(235\) 6.44103 + 4.30376i 0.420166 + 0.280746i
\(236\) −14.3987 9.48168i −0.937273 0.617205i
\(237\) 7.51258 23.9475i 0.487994 1.55556i
\(238\) −9.44443 9.38124i −0.612192 0.608096i
\(239\) 2.62427 0.703171i 0.169750 0.0454843i −0.172943 0.984932i \(-0.555328\pi\)
0.342693 + 0.939447i \(0.388661\pi\)
\(240\) −7.50068 9.06607i −0.484167 0.585212i
\(241\) −19.2191 5.14975i −1.23801 0.331725i −0.420319 0.907376i \(-0.638082\pi\)
−0.817695 + 0.575652i \(0.804748\pi\)
\(242\) −20.8574 35.8477i −1.34077 2.30438i
\(243\) 3.26383 15.2429i 0.209375 0.977835i
\(244\) 13.5654 15.6794i 0.868434 1.00377i
\(245\) −2.05047 0.134395i −0.131000 0.00858617i
\(246\) −3.00042 + 9.67794i −0.191300 + 0.617043i
\(247\) 10.0700 + 13.1235i 0.640742 + 0.835031i
\(248\) −21.4657 2.60639i −1.36307 0.165506i
\(249\) 1.50511 + 5.13613i 0.0953822 + 0.325489i
\(250\) 16.2019 + 5.43921i 1.02470 + 0.344006i
\(251\) 26.9622 5.36311i 1.70184 0.338516i 0.753903 0.656986i \(-0.228169\pi\)
0.947933 + 0.318469i \(0.103169\pi\)
\(252\) −7.87390 12.1014i −0.496009 0.762319i
\(253\) 10.7502 7.18308i 0.675862 0.451596i
\(254\) −11.8480 15.3337i −0.743408 0.962124i
\(255\) 4.64975 + 10.5260i 0.291178 + 0.659166i
\(256\) 8.36916 + 13.6366i 0.523072 + 0.852288i
\(257\) 1.00431 1.73952i 0.0626473 0.108508i −0.833001 0.553272i \(-0.813379\pi\)
0.895648 + 0.444764i \(0.146712\pi\)
\(258\) −7.61905 12.4209i −0.474341 0.773292i
\(259\) −18.9594 9.34976i −1.17808 0.580966i
\(260\) 8.87191 2.44117i 0.550213 0.151395i
\(261\) −11.8515 + 19.6587i −0.733592 + 1.21684i
\(262\) 5.79427 5.11595i 0.357971 0.316064i
\(263\) −8.47708 + 11.0476i −0.522719 + 0.681221i −0.977875 0.209191i \(-0.932917\pi\)
0.455155 + 0.890412i \(0.349584\pi\)
\(264\) −9.04887 29.7650i −0.556920 1.83191i
\(265\) −4.45688 5.80832i −0.273784 0.356802i
\(266\) −3.98548 + 20.3939i −0.244366 + 1.25043i
\(267\) −9.51480 26.0245i −0.582296 1.59268i
\(268\) 24.6813 + 4.73740i 1.50765 + 0.289383i
\(269\) 24.3311 + 4.83976i 1.48349 + 0.295085i 0.869384 0.494136i \(-0.164516\pi\)
0.614109 + 0.789221i \(0.289516\pi\)
\(270\) 2.52892 + 12.2215i 0.153905 + 0.743777i
\(271\) −0.822971 + 0.822971i −0.0499919 + 0.0499919i −0.731661 0.681669i \(-0.761254\pi\)
0.681669 + 0.731661i \(0.261254\pi\)
\(272\) −4.25239 15.0584i −0.257839 0.913051i
\(273\) 11.1564 1.73366i 0.675218 0.104926i
\(274\) 13.2339 + 13.1453i 0.799486 + 0.794137i
\(275\) 10.1005 + 8.85791i 0.609084 + 0.534152i
\(276\) 6.60764 2.46622i 0.397733 0.148449i
\(277\) −1.80463 + 27.5333i −0.108430 + 1.65432i 0.503934 + 0.863742i \(0.331885\pi\)
−0.612364 + 0.790576i \(0.709781\pi\)
\(278\) 1.14440 2.34039i 0.0686367 0.140367i
\(279\) 18.8252 + 13.1006i 1.12704 + 0.784312i
\(280\) 9.67512 + 6.32472i 0.578199 + 0.377974i
\(281\) −8.61885 6.61348i −0.514158 0.394527i 0.318836 0.947810i \(-0.396708\pi\)
−0.832993 + 0.553283i \(0.813375\pi\)
\(282\) 3.87162 + 10.4803i 0.230552 + 0.624093i
\(283\) −20.5458 6.97435i −1.22132 0.414582i −0.364990 0.931011i \(-0.618928\pi\)
−0.856330 + 0.516429i \(0.827261\pi\)
\(284\) −5.92010 + 0.819864i −0.351293 + 0.0486500i
\(285\) 9.62947 15.1636i 0.570401 0.898214i
\(286\) 24.1308 + 3.09451i 1.42688 + 0.182983i
\(287\) 9.95356i 0.587540i
\(288\) −1.07367 16.9366i −0.0632664 0.997997i
\(289\) 1.69757i 0.0998570i
\(290\) 2.33764 18.2288i 0.137271 1.07043i
\(291\) −6.82654 13.0675i −0.400179 0.766030i
\(292\) −15.5470 11.7646i −0.909817 0.688473i
\(293\) 2.20558 + 0.748695i 0.128852 + 0.0437392i 0.385120 0.922866i \(-0.374160\pi\)
−0.256269 + 0.966606i \(0.582493\pi\)
\(294\) −2.27942 1.89408i −0.132938 0.110465i
\(295\) −11.6148 8.91232i −0.676238 0.518895i
\(296\) −14.0123 20.5205i −0.814450 1.19273i
\(297\) −6.29698 + 32.3908i −0.365388 + 1.87951i
\(298\) 11.6200 + 5.68192i 0.673126 + 0.329145i
\(299\) −0.360727 + 5.50362i −0.0208614 + 0.318283i
\(300\) 4.25228 + 5.96863i 0.245505 + 0.344599i
\(301\) 10.7621 + 9.43811i 0.620317 + 0.544003i
\(302\) 2.57626 2.59361i 0.148247 0.149245i
\(303\) −3.07380 3.81855i −0.176585 0.219370i
\(304\) −15.8568 + 18.5785i −0.909447 + 1.06555i
\(305\) 12.4495 12.4495i 0.712857 0.712857i
\(306\) −3.49082 + 16.2252i −0.199557 + 0.927534i
\(307\) −21.0216 4.18146i −1.19977 0.238649i −0.445541 0.895262i \(-0.646988\pi\)
−0.754228 + 0.656613i \(0.771988\pi\)
\(308\) 17.1490 + 25.2960i 0.977156 + 1.44138i
\(309\) −5.37209 0.939236i −0.305608 0.0534313i
\(310\) −18.0213 3.52181i −1.02354 0.200026i
\(311\) −0.0750638 0.0978251i −0.00425648 0.00554715i 0.791220 0.611531i \(-0.209446\pi\)
−0.795477 + 0.605984i \(0.792779\pi\)
\(312\) 12.4234 + 4.66722i 0.703336 + 0.264229i
\(313\) −16.3169 + 21.2645i −0.922283 + 1.20194i 0.0567802 + 0.998387i \(0.481917\pi\)
−0.979063 + 0.203556i \(0.934750\pi\)
\(314\) 8.50222 + 9.62953i 0.479808 + 0.543426i
\(315\) −5.92806 10.7317i −0.334008 0.604663i
\(316\) −14.3217 + 25.1950i −0.805658 + 1.41733i
\(317\) −3.88762 1.91716i −0.218350 0.107678i 0.329824 0.944042i \(-0.393010\pi\)
−0.548175 + 0.836364i \(0.684677\pi\)
\(318\) −0.281044 10.5554i −0.0157602 0.591916i
\(319\) 24.2951 42.0803i 1.36026 2.35605i
\(320\) 6.25354 + 12.0623i 0.349583 + 0.674301i
\(321\) −0.275923 + 0.377455i −0.0154005 + 0.0210675i
\(322\) −5.48249 + 4.23618i −0.305527 + 0.236073i
\(323\) 19.8613 13.2709i 1.10511 0.738412i
\(324\) −7.40266 + 16.4073i −0.411259 + 0.911519i
\(325\) −5.62082 + 1.11805i −0.311787 + 0.0620183i
\(326\) −5.60650 + 16.7002i −0.310515 + 0.924938i
\(327\) 0.648608 + 0.157720i 0.0358681 + 0.00872192i
\(328\) 5.74761 10.1908i 0.317358 0.562691i
\(329\) −6.68139 8.70736i −0.368357 0.480052i
\(330\) −5.84175 25.7642i −0.321578 1.41827i
\(331\) −29.8758 1.95816i −1.64212 0.107630i −0.783893 0.620895i \(-0.786769\pi\)
−0.858230 + 0.513265i \(0.828436\pi\)
\(332\) −0.445588 6.16401i −0.0244548 0.338294i
\(333\) 2.94501 + 26.1905i 0.161386 + 1.43523i
\(334\) 8.52401 4.95956i 0.466413 0.271375i
\(335\) 20.6144 + 5.52360i 1.12628 + 0.301787i
\(336\) 5.93419 + 15.5791i 0.323737 + 0.849912i
\(337\) 1.30279 0.349081i 0.0709674 0.0190156i −0.223161 0.974782i \(-0.571637\pi\)
0.294128 + 0.955766i \(0.404971\pi\)
\(338\) 5.64248 5.68048i 0.306910 0.308978i
\(339\) 5.67489 1.26670i 0.308217 0.0687980i
\(340\) −2.67968 13.0145i −0.145326 0.705808i
\(341\) −40.3664 26.9719i −2.18596 1.46061i
\(342\) 24.0864 9.54038i 1.30244 0.515885i
\(343\) 18.2514 + 7.55998i 0.985483 + 0.408201i
\(344\) 5.56862 + 15.8775i 0.300240 + 0.856058i
\(345\) 5.74750 1.68426i 0.309435 0.0906778i
\(346\) 18.6946 + 12.4008i 1.00503 + 0.666669i
\(347\) −8.97427 3.04635i −0.481764 0.163537i 0.0699834 0.997548i \(-0.477705\pi\)
−0.551747 + 0.834011i \(0.686039\pi\)
\(348\) 18.1724 19.2959i 0.974142 1.03437i
\(349\) −3.15259 + 6.39283i −0.168755 + 0.342200i −0.964778 0.263065i \(-0.915266\pi\)
0.796023 + 0.605266i \(0.206933\pi\)
\(350\) −5.72614 4.36336i −0.306075 0.233231i
\(351\) −9.32690 10.5427i −0.497833 0.562727i
\(352\) 2.95072 + 35.8014i 0.157274 + 1.90822i
\(353\) −7.20682 + 4.16086i −0.383580 + 0.221460i −0.679375 0.733791i \(-0.737749\pi\)
0.295795 + 0.955252i \(0.404416\pi\)
\(354\) −6.00583 20.2427i −0.319206 1.07589i
\(355\) −5.06437 + 0.331936i −0.268789 + 0.0176173i
\(356\) 4.38918 + 31.6935i 0.232626 + 1.67975i
\(357\) −1.44444 16.2395i −0.0764478 0.859485i
\(358\) 2.49559 + 5.01803i 0.131896 + 0.265211i
\(359\) −32.5496 + 13.4825i −1.71790 + 0.711578i −0.718022 + 0.696020i \(0.754952\pi\)
−0.999879 + 0.0155574i \(0.995048\pi\)
\(360\) 0.127601 14.4106i 0.00672516 0.759503i
\(361\) −16.8954 6.99828i −0.889229 0.368331i
\(362\) 14.0502 0.968273i 0.738462 0.0508913i
\(363\) 8.74812 50.0361i 0.459157 2.62621i
\(364\) −13.0145 0.765306i −0.682144 0.0401129i
\(365\) −12.4476 10.9162i −0.651535 0.571381i
\(366\) 25.0785 3.98334i 1.31087 0.208212i
\(367\) −2.05315 + 7.66245i −0.107173 + 0.399977i −0.998583 0.0532225i \(-0.983051\pi\)
0.891409 + 0.453199i \(0.149717\pi\)
\(368\) −8.05930 + 1.17131i −0.420120 + 0.0610589i
\(369\) −10.4468 + 6.69791i −0.543839 + 0.348679i
\(370\) −10.6117 18.2383i −0.551674 0.948164i
\(371\) 3.33422 + 9.82228i 0.173104 + 0.509947i
\(372\) −18.0504 19.3787i −0.935870 1.00474i
\(373\) −3.61803 7.33665i −0.187335 0.379877i 0.782862 0.622195i \(-0.213759\pi\)
−0.970197 + 0.242318i \(0.922092\pi\)
\(374\) 6.73803 34.4788i 0.348415 1.78286i
\(375\) 10.8846 + 17.8789i 0.562077 + 0.923261i
\(376\) −1.81263 12.7730i −0.0934790 0.658716i
\(377\) 7.93224 + 19.1501i 0.408531 + 0.986282i
\(378\) 2.17304 17.5483i 0.111769 0.902587i
\(379\) −2.15625 + 0.428906i −0.110759 + 0.0220314i −0.250159 0.968205i \(-0.580483\pi\)
0.139399 + 0.990236i \(0.455483\pi\)
\(380\) −14.5678 + 14.7647i −0.747310 + 0.757412i
\(381\) 1.00092 23.7117i 0.0512788 1.21479i
\(382\) 11.7997 28.7597i 0.603727 1.47148i
\(383\) −12.7330 + 22.0541i −0.650624 + 1.12691i 0.332348 + 0.943157i \(0.392159\pi\)
−0.982972 + 0.183757i \(0.941174\pi\)
\(384\) −2.92044 + 19.3771i −0.149033 + 0.988832i
\(385\) 12.9760 + 22.4751i 0.661317 + 1.14543i
\(386\) 14.7041 1.98606i 0.748417 0.101088i
\(387\) 2.66382 17.6465i 0.135410 0.897019i
\(388\) 4.51641 + 16.4139i 0.229286 + 0.833290i
\(389\) −22.1418 25.2478i −1.12263 1.28012i −0.955763 0.294136i \(-0.904968\pi\)
−0.166868 0.985979i \(-0.553365\pi\)
\(390\) 10.2365 + 4.71365i 0.518347 + 0.238685i
\(391\) 7.89632 + 1.03957i 0.399334 + 0.0525734i
\(392\) 2.11050 + 2.69385i 0.106596 + 0.136060i
\(393\) 9.46421 0.220203i 0.477406 0.0111078i
\(394\) −8.06306 7.02337i −0.406211 0.353832i
\(395\) −13.6727 + 20.4626i −0.687948 + 1.02959i
\(396\) 15.0097 35.0209i 0.754267 1.75987i
\(397\) 12.2054 + 2.42780i 0.612570 + 0.121848i 0.491619 0.870811i \(-0.336405\pi\)
0.120952 + 0.992658i \(0.461405\pi\)
\(398\) −2.89811 + 5.05882i −0.145269 + 0.253576i
\(399\) −19.8248 + 15.9583i −0.992484 + 0.798915i
\(400\) −3.34301 7.77386i −0.167151 0.388693i
\(401\) 3.64357 0.976293i 0.181951 0.0487537i −0.166693 0.986009i \(-0.553309\pi\)
0.348644 + 0.937255i \(0.386642\pi\)
\(402\) 19.3811 + 23.9121i 0.966639 + 1.19263i
\(403\) 19.6110 6.65702i 0.976892 0.331610i
\(404\) 2.53752 + 5.05968i 0.126247 + 0.251728i
\(405\) −7.27442 + 13.4433i −0.361469 + 0.668005i
\(406\) −11.4379 + 23.3915i −0.567656 + 1.16090i
\(407\) −7.28190 55.3115i −0.360951 2.74169i
\(408\) 7.89850 17.4606i 0.391034 0.864428i
\(409\) 0.889783 6.75857i 0.0439969 0.334190i −0.955264 0.295754i \(-0.904429\pi\)
0.999261 0.0384359i \(-0.0122375\pi\)
\(410\) 5.49202 8.27941i 0.271231 0.408891i
\(411\) 2.02400 + 22.7553i 0.0998363 + 1.12244i
\(412\) 5.83395 + 2.37074i 0.287418 + 0.116798i
\(413\) 11.5237 + 17.2465i 0.567046 + 0.848645i
\(414\) 8.13535 + 2.90358i 0.399831 + 0.142703i
\(415\) 5.24803i 0.257616i
\(416\) −12.8827 8.29865i −0.631627 0.406875i
\(417\) 2.91863 1.28927i 0.142926 0.0631358i
\(418\) −50.5941 + 21.1560i −2.47464 + 1.03477i
\(419\) −7.18323 + 0.470814i −0.350924 + 0.0230008i −0.239846 0.970811i \(-0.577097\pi\)
−0.111078 + 0.993812i \(0.535430\pi\)
\(420\) 4.07225 + 13.5585i 0.198705 + 0.661585i
\(421\) 2.86376 2.51145i 0.139571 0.122401i −0.586714 0.809794i \(-0.699579\pi\)
0.726285 + 0.687394i \(0.241245\pi\)
\(422\) 1.27601 20.5234i 0.0621150 0.999064i
\(423\) −4.64283 + 12.8718i −0.225742 + 0.625848i
\(424\) −2.25812 + 11.9817i −0.109664 + 0.581882i
\(425\) 1.08019 + 8.20486i 0.0523969 + 0.397994i
\(426\) −6.19228 3.90324i −0.300017 0.189112i
\(427\) −22.3722 + 11.0328i −1.08267 + 0.533913i
\(428\) 0.403508 0.358687i 0.0195043 0.0173378i
\(429\) 20.1617 + 21.9389i 0.973416 + 1.05922i
\(430\) 3.74435 + 13.7888i 0.180568 + 0.664954i
\(431\) 20.9182 + 20.9182i 1.00759 + 1.00759i 0.999971 + 0.00762149i \(0.00242602\pi\)
0.00762149 + 0.999971i \(0.497574\pi\)
\(432\) 12.3580 16.7117i 0.594572 0.804042i
\(433\) −15.2605 + 15.2605i −0.733371 + 0.733371i −0.971286 0.237915i \(-0.923536\pi\)
0.237915 + 0.971286i \(0.423536\pi\)
\(434\) 22.5738 + 12.9321i 1.08358 + 0.620763i
\(435\) 16.5730 15.2305i 0.794612 0.730245i
\(436\) −0.693558 0.336256i −0.0332154 0.0161037i
\(437\) −5.49874 11.1503i −0.263040 0.533393i
\(438\) −5.28011 23.2872i −0.252293 1.11270i
\(439\) 4.54064 0.597787i 0.216713 0.0285308i −0.0213877 0.999771i \(-0.506808\pi\)
0.238101 + 0.971240i \(0.423475\pi\)
\(440\) 0.307178 + 30.5035i 0.0146442 + 1.45420i
\(441\) −0.640631 3.57274i −0.0305062 0.170131i
\(442\) 9.91901 + 11.2342i 0.471799 + 0.534355i
\(443\) 12.8489 + 14.6514i 0.610471 + 0.696109i 0.971660 0.236384i \(-0.0759624\pi\)
−0.361189 + 0.932493i \(0.617629\pi\)
\(444\) 3.06618 30.2780i 0.145515 1.43693i
\(445\) 1.77703 + 27.1123i 0.0842395 + 1.28525i
\(446\) 25.5052 + 10.4644i 1.20770 + 0.495505i
\(447\) 6.40118 + 14.4909i 0.302765 + 0.685396i
\(448\) −2.89648 19.0309i −0.136846 0.899127i
\(449\) −13.3244 −0.628818 −0.314409 0.949288i \(-0.601806\pi\)
−0.314409 + 0.949288i \(0.601806\pi\)
\(450\) −0.726378 + 8.94606i −0.0342418 + 0.421721i
\(451\) 21.8413 14.5939i 1.02846 0.687198i
\(452\) −6.71390 + 0.0450729i −0.315795 + 0.00212005i
\(453\) 4.45965 0.396669i 0.209533 0.0186371i
\(454\) 3.21331 0.650388i 0.150808 0.0305242i
\(455\) −10.9761 1.44503i −0.514566 0.0677438i
\(456\) −29.5123 + 4.89093i −1.38204 + 0.229039i
\(457\) 18.4748 2.43225i 0.864214 0.113776i 0.314630 0.949214i \(-0.398119\pi\)
0.549584 + 0.835438i \(0.314786\pi\)
\(458\) 1.46345 + 4.26411i 0.0683826 + 0.199249i
\(459\) −16.0722 + 12.4438i −0.750188 + 0.580828i
\(460\) −6.89773 + 0.498628i −0.321608 + 0.0232486i
\(461\) 6.95225 + 20.4807i 0.323799 + 0.953880i 0.979949 + 0.199250i \(0.0638504\pi\)
−0.656150 + 0.754630i \(0.727816\pi\)
\(462\) −3.89609 + 37.2262i −0.181262 + 1.73192i
\(463\) −4.24307 15.8353i −0.197192 0.735931i −0.991688 0.128662i \(-0.958932\pi\)
0.794496 0.607269i \(-0.207735\pi\)
\(464\) −25.2177 + 17.3442i −1.17070 + 0.805183i
\(465\) −14.1017 17.5184i −0.653952 0.812398i
\(466\) 2.01419 + 7.41737i 0.0933054 + 0.343603i
\(467\) 1.70650 8.57918i 0.0789676 0.396997i −0.921005 0.389552i \(-0.872630\pi\)
0.999972 0.00744551i \(-0.00237000\pi\)
\(468\) 7.95441 + 14.1744i 0.367693 + 0.655211i
\(469\) −25.1411 16.7987i −1.16091 0.775693i
\(470\) −0.753200 10.9294i −0.0347425 0.504134i
\(471\) 0.365957 + 15.7286i 0.0168624 + 0.724736i
\(472\) 1.83952 + 24.3118i 0.0846708 + 1.11904i
\(473\) −4.93085 + 37.4535i −0.226721 + 1.72212i
\(474\) −33.2951 + 12.2998i −1.52929 + 0.564950i
\(475\) 9.71245 8.51759i 0.445638 0.390814i
\(476\) −2.33190 + 18.6808i −0.106883 + 0.856233i
\(477\) 8.06537 10.1090i 0.369288 0.462860i
\(478\) −3.05605 2.32874i −0.139781 0.106514i
\(479\) 25.5181 14.7329i 1.16595 0.673162i 0.213228 0.977003i \(-0.431602\pi\)
0.952723 + 0.303841i \(0.0982690\pi\)
\(480\) −3.65993 + 16.2331i −0.167052 + 0.740935i
\(481\) 20.6104 + 11.8994i 0.939752 + 0.542566i
\(482\) 10.8554 + 25.9605i 0.494452 + 1.18247i
\(483\) −8.47799 0.357874i −0.385762 0.0162838i
\(484\) −22.0813 + 54.3379i −1.00369 + 2.46990i
\(485\) 2.82032 + 14.1787i 0.128064 + 0.643821i
\(486\) −19.8802 + 9.52780i −0.901783 + 0.432190i
\(487\) 15.4452 6.39763i 0.699891 0.289904i −0.00422324 0.999991i \(-0.501344\pi\)
0.704114 + 0.710087i \(0.251344\pi\)
\(488\) −29.2762 1.62297i −1.32527 0.0734685i
\(489\) −18.4288 + 11.2193i −0.833378 + 0.507356i
\(490\) 1.62260 + 2.41084i 0.0733016 + 0.108910i
\(491\) 18.0325 8.89263i 0.813794 0.401319i 0.0127457 0.999919i \(-0.495943\pi\)
0.801048 + 0.598600i \(0.204276\pi\)
\(492\) 13.4247 5.01063i 0.605234 0.225897i
\(493\) 28.3433 9.62127i 1.27652 0.433320i
\(494\) 5.97886 22.6168i 0.269002 1.01758i
\(495\) 14.8571 28.7428i 0.667775 1.29189i
\(496\) 15.6442 + 26.2754i 0.702445 + 1.17980i
\(497\) 6.94562 + 1.86107i 0.311553 + 0.0834805i
\(498\) 4.44628 6.12543i 0.199242 0.274487i
\(499\) 9.94893 11.3446i 0.445375 0.507853i −0.484974 0.874529i \(-0.661171\pi\)
0.930349 + 0.366676i \(0.119504\pi\)
\(500\) −7.92254 22.8343i −0.354307 1.02118i
\(501\) 11.8978 + 2.08016i 0.531553 + 0.0929348i
\(502\) −29.3153 25.5353i −1.30841 1.13970i
\(503\) −6.17830 + 14.9157i −0.275477 + 0.665060i −0.999700 0.0245061i \(-0.992199\pi\)
0.724223 + 0.689566i \(0.242199\pi\)
\(504\) −6.73402 + 19.2754i −0.299957 + 0.858593i
\(505\) 1.83943 + 4.44078i 0.0818536 + 0.197612i
\(506\) −17.3339 5.81926i −0.770587 0.258698i
\(507\) 9.76746 0.868777i 0.433788 0.0385837i
\(508\) −6.91489 + 26.5175i −0.306799 + 1.17653i
\(509\) −0.0496102 0.756905i −0.00219893 0.0335492i 0.996618 0.0821685i \(-0.0261846\pi\)
−0.998817 + 0.0486193i \(0.984518\pi\)
\(510\) 7.75888 14.3051i 0.343569 0.633439i
\(511\) 11.7284 + 20.3142i 0.518835 + 0.898649i
\(512\) 8.02375 21.1570i 0.354603 0.935017i
\(513\) 30.0896 + 10.0687i 1.32849 + 0.444542i
\(514\) −2.81506 + 0.380227i −0.124167 + 0.0167711i
\(515\) 4.79605 + 2.36515i 0.211339 + 0.104221i
\(516\) −7.31188 + 19.2664i −0.321888 + 0.848156i
\(517\) 9.31047 27.4278i 0.409474 1.20627i
\(518\) 5.93076 + 29.3016i 0.260583 + 1.28744i
\(519\) 7.72656 + 26.3666i 0.339158 + 1.15737i
\(520\) −10.4032 7.81750i −0.456211 0.342820i
\(521\) 10.9079 26.3340i 0.477883 1.15371i −0.482717 0.875776i \(-0.660350\pi\)
0.960600 0.277935i \(-0.0896500\pi\)
\(522\) 32.2474 3.73573i 1.41143 0.163509i
\(523\) 1.39500 2.08777i 0.0609992 0.0912918i −0.799716 0.600378i \(-0.795017\pi\)
0.860715 + 0.509087i \(0.170017\pi\)
\(524\) −10.7353 2.06057i −0.468975 0.0900163i
\(525\) −1.92082 8.60533i −0.0838313 0.375568i
\(526\) 19.6930 0.0661025i 0.858656 0.00288221i
\(527\) −7.74023 28.8869i −0.337170 1.25834i
\(528\) −25.4849 + 35.8636i −1.10909 + 1.56076i
\(529\) −4.87996 + 18.2123i −0.212172 + 0.791838i
\(530\) −2.64617 + 10.0099i −0.114942 + 0.434803i
\(531\) 10.3466 23.7002i 0.449006 1.02850i
\(532\) 26.2685 13.1741i 1.13888 0.571171i
\(533\) −0.732888 + 11.1817i −0.0317449 + 0.484334i
\(534\) −20.8961 + 33.1507i −0.904264 + 1.43457i
\(535\) 0.363722 0.279093i 0.0157251 0.0120663i
\(536\) −16.0399 31.7166i −0.692819 1.36995i
\(537\) −1.62180 + 6.66953i −0.0699860 + 0.287811i
\(538\) −15.6226 31.4132i −0.673536 1.35432i
\(539\) 1.49894 + 7.53567i 0.0645638 + 0.324584i
\(540\) 11.4901 13.3977i 0.494454 0.576547i
\(541\) −13.3477 19.9763i −0.573864 0.858849i 0.425062 0.905164i \(-0.360252\pi\)
−0.998927 + 0.0463152i \(0.985252\pi\)
\(542\) 1.63257 + 0.209360i 0.0701250 + 0.00899277i
\(543\) 13.9249 + 10.1792i 0.597573 + 0.436832i
\(544\) −13.1746 + 17.7795i −0.564854 + 0.762288i
\(545\) −0.566838 0.327264i −0.0242807 0.0140185i
\(546\) −11.5868 10.9858i −0.495871 0.470150i
\(547\) 13.3038 26.9775i 0.568831 1.15348i −0.402428 0.915452i \(-0.631834\pi\)
0.971259 0.238024i \(-0.0764998\pi\)
\(548\) 3.26754 26.1762i 0.139582 1.11819i
\(549\) 26.6341 + 16.0567i 1.13672 + 0.685285i
\(550\) 1.17896 18.9625i 0.0502709 0.808563i
\(551\) −37.0681 28.4434i −1.57916 1.21173i
\(552\) −8.47338 5.26195i −0.360651 0.223964i
\(553\) 27.6626 21.2262i 1.17633 0.902632i
\(554\) 32.3723 21.7880i 1.37537 0.925684i
\(555\) 4.45079 25.4569i 0.188926 1.08059i
\(556\) −3.60861 + 0.743016i −0.153039 + 0.0315109i
\(557\) −3.73913 + 18.7979i −0.158432 + 0.796491i 0.817076 + 0.576529i \(0.195593\pi\)
−0.975508 + 0.219962i \(0.929407\pi\)
\(558\) −1.61726 32.3947i −0.0684639 1.37137i
\(559\) −11.3951 11.3951i −0.481960 0.481960i
\(560\) −1.28805 16.2960i −0.0544299 0.688634i
\(561\) 33.5167 26.9798i 1.41508 1.13909i
\(562\) 0.0515705 + 15.3637i 0.00217537 + 0.648078i
\(563\) −4.47880 + 5.10710i −0.188759 + 0.215238i −0.838477 0.544937i \(-0.816554\pi\)
0.649718 + 0.760175i \(0.274887\pi\)
\(564\) 8.38053 13.3947i 0.352884 0.564020i
\(565\) −5.68926 0.372894i −0.239349 0.0156878i
\(566\) 9.96070 + 29.0229i 0.418679 + 1.21992i
\(567\) 15.8818 14.7229i 0.666974 0.618305i
\(568\) 6.03648 + 5.91611i 0.253285 + 0.248235i
\(569\) 1.21951 1.58929i 0.0511243 0.0666265i −0.767091 0.641538i \(-0.778297\pi\)
0.818216 + 0.574911i \(0.194963\pi\)
\(570\) −25.2956 + 2.33555i −1.05952 + 0.0978254i
\(571\) 5.64526 16.6304i 0.236247 0.695961i −0.762550 0.646929i \(-0.776053\pi\)
0.998797 0.0490320i \(-0.0156136\pi\)
\(572\) −17.4024 29.6799i −0.727632 1.24098i
\(573\) 33.7455 17.6289i 1.40974 0.736456i
\(574\) −11.1388 + 8.60665i −0.464924 + 0.359234i
\(575\) 4.30724 0.179624
\(576\) −18.0249 + 15.8462i −0.751038 + 0.660259i
\(577\) −27.5408 −1.14654 −0.573268 0.819368i \(-0.694325\pi\)
−0.573268 + 0.819368i \(0.694325\pi\)
\(578\) −1.89971 + 1.46785i −0.0790174 + 0.0610546i
\(579\) 15.3404 + 9.74177i 0.637527 + 0.404854i
\(580\) −22.4207 + 13.1461i −0.930969 + 0.545861i
\(581\) −2.39005 + 7.04086i −0.0991559 + 0.292104i
\(582\) −8.72073 + 18.9386i −0.361486 + 0.785031i
\(583\) −16.6646 + 21.7177i −0.690176 + 0.899455i
\(584\) 0.277645 + 27.5708i 0.0114891 + 1.14089i
\(585\) 5.86933 + 12.4924i 0.242667 + 0.516495i
\(586\) −1.06928 3.11560i −0.0441715 0.128704i
\(587\) 33.1074 + 2.16998i 1.36649 + 0.0895645i 0.730912 0.682472i \(-0.239095\pi\)
0.635579 + 0.772036i \(0.280762\pi\)
\(588\) −0.148648 + 4.18861i −0.00613015 + 0.172735i
\(589\) −30.7802 + 35.0981i −1.26828 + 1.44619i
\(590\) 0.0694964 + 20.7041i 0.00286112 + 0.852374i
\(591\) −2.01096 12.9409i −0.0827197 0.532318i
\(592\) −10.8479 + 33.4245i −0.445844 + 1.37374i
\(593\) −13.4778 13.4778i −0.553468 0.553468i 0.373972 0.927440i \(-0.377996\pi\)
−0.927440 + 0.373972i \(0.877996\pi\)
\(594\) 41.6926 20.9609i 1.71067 0.860036i
\(595\) −3.11882 + 15.6794i −0.127859 + 0.642792i
\(596\) −3.68905 17.9166i −0.151109 0.733894i
\(597\) −6.70629 + 2.45188i −0.274470 + 0.100349i
\(598\) 6.47088 4.35519i 0.264614 0.178097i
\(599\) −15.5710 + 11.9481i −0.636214 + 0.488184i −0.875789 0.482693i \(-0.839659\pi\)
0.239575 + 0.970878i \(0.422992\pi\)
\(600\) 3.00249 9.91957i 0.122576 0.404965i
\(601\) 2.94460 + 2.25947i 0.120113 + 0.0921656i 0.667071 0.744994i \(-0.267548\pi\)
−0.546958 + 0.837160i \(0.684214\pi\)
\(602\) 1.25618 20.2045i 0.0511980 0.823475i
\(603\) −0.713364 + 37.6910i −0.0290504 + 1.53490i
\(604\) −5.13008 0.640382i −0.208740 0.0260568i
\(605\) −22.0292 + 44.6708i −0.895614 + 1.81613i
\(606\) −1.61539 + 6.74163i −0.0656207 + 0.273860i
\(607\) 10.2905 + 5.94124i 0.417680 + 0.241147i 0.694084 0.719894i \(-0.255810\pi\)
−0.276404 + 0.961041i \(0.589143\pi\)
\(608\) 34.5018 + 1.68041i 1.39923 + 0.0681498i
\(609\) −29.1708 + 12.8858i −1.18206 + 0.522161i
\(610\) −24.6968 3.16709i −0.999943 0.128232i
\(611\) 6.86466 + 10.2737i 0.277715 + 0.415629i
\(612\) 21.1757 10.1231i 0.855976 0.409204i
\(613\) −5.87587 29.5400i −0.237324 1.19311i −0.897162 0.441701i \(-0.854375\pi\)
0.659838 0.751408i \(-0.270625\pi\)
\(614\) 13.4976 + 27.1404i 0.544719 + 1.09530i
\(615\) 11.6772 3.42192i 0.470870 0.137985i
\(616\) 13.4797 41.0640i 0.543114 1.65452i
\(617\) −9.01969 + 6.92105i −0.363119 + 0.278631i −0.774165 0.632983i \(-0.781830\pi\)
0.411046 + 0.911614i \(0.365163\pi\)
\(618\) 3.59406 + 6.82391i 0.144574 + 0.274498i
\(619\) −0.926282 + 14.1323i −0.0372304 + 0.568026i 0.937972 + 0.346711i \(0.112702\pi\)
−0.975202 + 0.221315i \(0.928965\pi\)
\(620\) 11.6415 + 23.2124i 0.467533 + 0.932233i
\(621\) 5.32936 + 9.13893i 0.213860 + 0.366733i
\(622\) −0.0445674 + 0.168589i −0.00178699 + 0.00675982i
\(623\) 9.96333 37.1836i 0.399172 1.48973i
\(624\) −5.51930 17.9384i −0.220949 0.718109i
\(625\) −2.57440 9.60781i −0.102976 0.384312i
\(626\) 37.9055 0.127235i 1.51501 0.00508535i
\(627\) −64.0847 20.1040i −2.55930 0.802876i
\(628\) 3.42446 17.8411i 0.136651 0.711937i
\(629\) 19.0929 28.5745i 0.761282 1.13934i
\(630\) −6.88371 + 15.9134i −0.274253 + 0.634006i
\(631\) 11.9968 28.9628i 0.477584 1.15299i −0.483155 0.875535i \(-0.660509\pi\)
0.960739 0.277454i \(-0.0894907\pi\)
\(632\) 40.5788 5.75857i 1.61414 0.229064i
\(633\) 17.3891 18.2175i 0.691154 0.724082i
\(634\) 1.21610 + 6.00826i 0.0482974 + 0.238619i
\(635\) −7.48031 + 22.0363i −0.296847 + 0.874483i
\(636\) −11.5692 + 9.44152i −0.458750 + 0.374381i
\(637\) −2.93959 1.44964i −0.116471 0.0574370i
\(638\) −68.0985 + 9.19799i −2.69605 + 0.364152i
\(639\) −2.72052 8.54215i −0.107622 0.337922i
\(640\) 8.09128 17.4282i 0.319836 0.688909i
\(641\) 17.3557 + 30.0610i 0.685509 + 1.18734i 0.973276 + 0.229637i \(0.0737538\pi\)
−0.287767 + 0.957700i \(0.592913\pi\)
\(642\) 0.660986 0.0175992i 0.0260870 0.000694585i
\(643\) 2.24710 + 34.2842i 0.0886172 + 1.35204i 0.778285 + 0.627911i \(0.216090\pi\)
−0.689668 + 0.724126i \(0.742244\pi\)
\(644\) 9.48120 + 2.47238i 0.373612 + 0.0974255i
\(645\) −7.37259 + 15.8705i −0.290295 + 0.624898i
\(646\) −32.0248 10.7512i −1.26000 0.423001i
\(647\) −7.13500 17.2254i −0.280506 0.677201i 0.719342 0.694656i \(-0.244443\pi\)
−0.999848 + 0.0174554i \(0.994443\pi\)
\(648\) 24.7620 5.90297i 0.972742 0.231890i
\(649\) −20.9482 + 50.5735i −0.822289 + 1.98518i
\(650\) 6.11139 + 5.32336i 0.239709 + 0.208800i
\(651\) 10.9409 + 29.9252i 0.428809 + 1.17286i
\(652\) 23.5366 8.16621i 0.921764 0.319814i
\(653\) −5.09196 + 5.80627i −0.199264 + 0.227217i −0.842839 0.538166i \(-0.819117\pi\)
0.643575 + 0.765383i \(0.277451\pi\)
\(654\) −0.384338 0.862218i −0.0150288 0.0337154i
\(655\) −8.96638 2.40253i −0.350345 0.0938747i
\(656\) −16.3741 + 2.37976i −0.639300 + 0.0929139i
\(657\) 13.4287 25.9794i 0.523902 1.01355i
\(658\) −3.96692 + 15.0061i −0.154647 + 0.584997i
\(659\) 29.6271 10.0570i 1.15411 0.391767i 0.322195 0.946673i \(-0.395579\pi\)
0.831913 + 0.554907i \(0.187246\pi\)
\(660\) −23.7808 + 28.8151i −0.925668 + 1.12163i
\(661\) 2.69732 1.33017i 0.104914 0.0517377i −0.389075 0.921206i \(-0.627205\pi\)
0.493988 + 0.869469i \(0.335539\pi\)
\(662\) 23.6417 + 35.1265i 0.918860 + 1.36523i
\(663\) 0.426939 + 18.3496i 0.0165809 + 0.712640i
\(664\) −6.51269 + 5.82854i −0.252742 + 0.226191i
\(665\) 23.0553 9.54982i 0.894046 0.370326i
\(666\) 26.7627 25.9421i 1.03703 1.00524i
\(667\) −3.03924 15.2793i −0.117680 0.591616i
\(668\) −12.9207 5.25057i −0.499915 0.203151i
\(669\) 15.6339 + 29.9267i 0.604441 + 1.15703i
\(670\) −11.6435 27.8452i −0.449828 1.07575i
\(671\) −57.0114 32.9155i −2.20090 1.27069i
\(672\) 12.3031 20.1118i 0.474601 0.775829i
\(673\) 8.28086 4.78095i 0.319204 0.184292i −0.331834 0.943338i \(-0.607667\pi\)
0.651038 + 0.759046i \(0.274334\pi\)
\(674\) −1.51714 1.15607i −0.0584381 0.0445303i
\(675\) −7.73922 + 7.80666i −0.297883 + 0.300479i
\(676\) −11.2358 1.40255i −0.432147 0.0539444i
\(677\) −10.5541 + 9.25571i −0.405628 + 0.355726i −0.837717 0.546105i \(-0.816110\pi\)
0.432089 + 0.901831i \(0.357777\pi\)
\(678\) −6.32450 5.25533i −0.242891 0.201830i
\(679\) 2.67344 20.3068i 0.102597 0.779304i
\(680\) −12.2471 + 14.2521i −0.469654 + 0.546543i
\(681\) 3.52310 + 1.92622i 0.135006 + 0.0738128i
\(682\) 4.72036 + 68.4951i 0.180752 + 2.62281i
\(683\) 17.9150 + 11.9704i 0.685499 + 0.458036i 0.848920 0.528521i \(-0.177253\pi\)
−0.163422 + 0.986556i \(0.552253\pi\)
\(684\) −31.5034 18.7051i −1.20456 0.715207i
\(685\) 4.37020 21.9705i 0.166977 0.839448i
\(686\) −7.32144 26.9617i −0.279534 1.02940i
\(687\) −1.99374 + 5.14893i −0.0760660 + 0.196444i
\(688\) 12.9531 19.9607i 0.493831 0.760993i
\(689\) −3.02240 11.2797i −0.115144 0.429724i
\(690\) −6.85456 4.97553i −0.260949 0.189415i
\(691\) −2.21688 6.53072i −0.0843341 0.248440i 0.896580 0.442882i \(-0.146044\pi\)
−0.980914 + 0.194442i \(0.937711\pi\)
\(692\) −2.28745 31.6433i −0.0869559 1.20290i
\(693\) −33.0225 + 31.7957i −1.25442 + 1.20782i
\(694\) 4.35077 + 12.6770i 0.165153 + 0.481212i
\(695\) −3.10189 + 0.408372i −0.117661 + 0.0154904i
\(696\) −37.3068 3.65151i −1.41411 0.138410i
\(697\) 16.0430 + 2.11210i 0.607671 + 0.0800014i
\(698\) 9.88004 1.99976i 0.373965 0.0756921i
\(699\) −3.96592 + 8.53715i −0.150005 + 0.322905i
\(700\) 0.0683481 + 10.1809i 0.00258332 + 0.384801i
\(701\) −36.6093 + 24.4615i −1.38271 + 0.923899i −0.382713 + 0.923867i \(0.625010\pi\)
−1.00000 3.17479e-5i \(0.999990\pi\)
\(702\) −3.73326 + 19.5535i −0.140903 + 0.738001i
\(703\) −53.6454 −2.02328
\(704\) 37.5131 34.2589i 1.41383 1.29118i
\(705\) 7.91820 10.8319i 0.298217 0.407952i
\(706\) 10.8879 + 4.46716i 0.409771 + 0.168124i
\(707\) −0.445403 6.79554i −0.0167511 0.255572i
\(708\) −17.4599 + 24.2244i −0.656185 + 0.910409i
\(709\) −7.89962 9.00779i −0.296676 0.338295i 0.584227 0.811590i \(-0.301398\pi\)
−0.880904 + 0.473296i \(0.843064\pi\)
\(710\) 4.75052 + 5.38039i 0.178284 + 0.201922i
\(711\) −40.8927 14.7499i −1.53360 0.553165i
\(712\) 31.6722 32.3166i 1.18696 1.21111i
\(713\) −15.4320 + 2.03166i −0.577933 + 0.0760863i
\(714\) −16.9242 + 15.6584i −0.633373 + 0.586001i
\(715\) −12.9222 26.2036i −0.483263 0.979960i
\(716\) 3.45766 7.13174i 0.129219 0.266526i
\(717\) −1.02515 4.59269i −0.0382847 0.171517i
\(718\) 43.2329 + 24.7674i 1.61344 + 0.924311i
\(719\) 6.91132 6.91132i 0.257749 0.257749i −0.566389 0.824138i \(-0.691660\pi\)
0.824138 + 0.566389i \(0.191660\pi\)
\(720\) −16.2368 + 12.3177i −0.605111 + 0.459055i
\(721\) −5.35733 5.35733i −0.199518 0.199518i
\(722\) 6.77747 + 24.9584i 0.252231 + 0.928857i
\(723\) −10.3156 + 32.8827i −0.383642 + 1.22292i
\(724\) −13.2325 14.8860i −0.491782 0.553233i
\(725\) 14.5180 7.15948i 0.539184 0.265896i
\(726\) −63.5585 + 33.4754i −2.35888 + 1.24239i
\(727\) −1.27647 9.69573i −0.0473416 0.359595i −0.998676 0.0514355i \(-0.983620\pi\)
0.951335 0.308159i \(-0.0997130\pi\)
\(728\) 10.3969 + 15.2259i 0.385335 + 0.564310i
\(729\) −26.1396 6.76156i −0.968135 0.250428i
\(730\) −1.45291 + 23.3688i −0.0537746 + 0.864918i
\(731\) −17.4958 + 15.3434i −0.647106 + 0.567497i
\(732\) −26.1425 24.6204i −0.966254 0.909995i
\(733\) 22.1526 1.45196i 0.818224 0.0536293i 0.349459 0.936952i \(-0.386366\pi\)
0.468766 + 0.883323i \(0.344699\pi\)
\(734\) 10.3502 4.32794i 0.382032 0.159747i
\(735\) −0.382355 + 3.53854i −0.0141034 + 0.130521i
\(736\) 8.27950 + 8.00615i 0.305186 + 0.295111i
\(737\) 79.7976i 2.93938i
\(738\) 16.5286 + 5.89921i 0.608426 + 0.217153i
\(739\) 11.2095 + 16.7762i 0.412348 + 0.617122i 0.978270 0.207337i \(-0.0664796\pi\)
−0.565922 + 0.824459i \(0.691480\pi\)
\(740\) −11.2343 + 27.6455i −0.412982 + 1.01627i
\(741\) 23.4460 16.4677i 0.861311 0.604955i
\(742\) 8.10884 12.2244i 0.297685 0.448771i
\(743\) 1.93526 14.6998i 0.0709979 0.539283i −0.918575 0.395248i \(-0.870659\pi\)
0.989573 0.144035i \(-0.0460079\pi\)
\(744\) −6.07842 + 36.9562i −0.222846 + 1.35488i
\(745\) −2.02755 15.4008i −0.0742838 0.564241i
\(746\) −5.08182 + 10.3927i −0.186059 + 0.380504i
\(747\) 8.99806 2.22941i 0.329222 0.0815700i
\(748\) −44.4106 + 22.2728i −1.62381 + 0.814373i
\(749\) −0.615080 + 0.208791i −0.0224745 + 0.00762907i
\(750\) 10.5961 27.6402i 0.386916 1.00928i
\(751\) 42.1332 11.2896i 1.53746 0.411962i 0.612017 0.790845i \(-0.290358\pi\)
0.925445 + 0.378883i \(0.123692\pi\)
\(752\) −12.7266 + 13.0730i −0.464091 + 0.476723i
\(753\) −7.31136 47.0500i −0.266441 1.71460i
\(754\) 14.5716 25.4355i 0.530666 0.926306i
\(755\) −4.30584 0.856484i −0.156705 0.0311706i
\(756\) −21.5168 + 12.7419i −0.782560 + 0.463417i
\(757\) 6.31273 9.44766i 0.229440 0.343381i −0.698830 0.715287i \(-0.746296\pi\)
0.928270 + 0.371906i \(0.121296\pi\)
\(758\) 2.34445 + 2.04214i 0.0851542 + 0.0741740i
\(759\) −11.6451 19.1281i −0.422690 0.694306i
\(760\) 29.1192 + 3.53569i 1.05627 + 0.128253i
\(761\) 5.65307 + 0.744241i 0.204924 + 0.0269787i 0.232289 0.972647i \(-0.425378\pi\)
−0.0273655 + 0.999625i \(0.508712\pi\)
\(762\) −27.4006 + 19.3829i −0.992621 + 0.702169i
\(763\) 0.611438 + 0.697211i 0.0221355 + 0.0252408i
\(764\) −42.3873 + 11.6632i −1.53352 + 0.421959i
\(765\) 18.5551 7.27752i 0.670860 0.263119i
\(766\) 35.6902 4.82063i 1.28954 0.174176i
\(767\) −11.6758 20.2230i −0.421587 0.730211i
\(768\) 24.2096 13.4868i 0.873590 0.486662i
\(769\) −15.5452 + 26.9250i −0.560573 + 0.970940i 0.436874 + 0.899523i \(0.356086\pi\)
−0.997446 + 0.0714176i \(0.977248\pi\)
\(770\) 13.9312 33.9548i 0.502046 1.22365i
\(771\) −2.93689 1.86504i −0.105770 0.0671678i
\(772\) −14.9369 14.7376i −0.537589 0.530419i
\(773\) 38.1642