Properties

Label 570.2.bi.a.47.28
Level $570$
Weight $2$
Character 570.47
Analytic conductor $4.551$
Analytic rank $0$
Dimension $480$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.bi (of order \(36\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(480\)
Relative dimension: \(40\) over \(\Q(\zeta_{36})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label 47.28
Character \(\chi\) \(=\) 570.47
Dual form 570.2.bi.a.473.28

$q$-expansion

\(f(q)\) \(=\) \(q+(0.819152 + 0.573576i) q^{2} +(-0.905142 + 1.47673i) q^{3} +(0.342020 + 0.939693i) q^{4} +(2.22540 - 0.218157i) q^{5} +(-1.58846 + 0.690494i) q^{6} +(-3.72335 + 0.997670i) q^{7} +(-0.258819 + 0.965926i) q^{8} +(-1.36143 - 2.67329i) q^{9} +O(q^{10})\) \(q+(0.819152 + 0.573576i) q^{2} +(-0.905142 + 1.47673i) q^{3} +(0.342020 + 0.939693i) q^{4} +(2.22540 - 0.218157i) q^{5} +(-1.58846 + 0.690494i) q^{6} +(-3.72335 + 0.997670i) q^{7} +(-0.258819 + 0.965926i) q^{8} +(-1.36143 - 2.67329i) q^{9} +(1.94807 + 1.09773i) q^{10} +(-5.37905 + 3.10559i) q^{11} +(-1.69724 - 0.345486i) q^{12} +(0.170138 - 0.0148851i) q^{13} +(-3.62223 - 1.31839i) q^{14} +(-1.69215 + 3.48377i) q^{15} +(-0.766044 + 0.642788i) q^{16} +(1.47927 + 1.03580i) q^{17} +(0.418116 - 2.97072i) q^{18} +(-4.29655 + 0.734629i) q^{19} +(0.966132 + 2.01658i) q^{20} +(1.89688 - 6.40140i) q^{21} +(-6.18755 - 0.541341i) q^{22} +(6.69654 + 3.12265i) q^{23} +(-1.19214 - 1.25650i) q^{24} +(4.90481 - 0.970974i) q^{25} +(0.147906 + 0.0853938i) q^{26} +(5.18001 + 0.409245i) q^{27} +(-2.21097 - 3.15759i) q^{28} +(-1.14890 + 6.51574i) q^{29} +(-3.38433 + 1.88316i) q^{30} +(-0.994699 + 1.72287i) q^{31} +(-0.996195 + 0.0871557i) q^{32} +(0.282694 - 10.7544i) q^{33} +(0.617641 + 1.69695i) q^{34} +(-8.06831 + 3.03249i) q^{35} +(2.04644 - 2.19365i) q^{36} +(-5.60123 - 5.60123i) q^{37} +(-3.94089 - 1.86263i) q^{38} +(-0.132018 + 0.264720i) q^{39} +(-0.365253 + 2.20604i) q^{40} +(2.31503 + 2.75895i) q^{41} +(5.22553 - 4.15572i) q^{42} +(4.86935 - 2.27061i) q^{43} +(-4.75805 - 3.99248i) q^{44} +(-3.61294 - 5.65214i) q^{45} +(3.69441 + 6.39890i) q^{46} +(-1.87426 - 2.67672i) q^{47} +(-0.255841 - 1.71305i) q^{48} +(6.80584 - 3.92936i) q^{49} +(4.57472 + 2.01791i) q^{50} +(-2.86855 + 1.24694i) q^{51} +(0.0721779 + 0.154786i) q^{52} +(5.69696 + 2.65654i) q^{53} +(4.00848 + 3.30637i) q^{54} +(-11.2930 + 8.08467i) q^{55} -3.85470i q^{56} +(2.80414 - 7.00976i) q^{57} +(-4.67840 + 4.67840i) q^{58} +(-0.280178 - 1.58897i) q^{59} +(-3.85242 - 0.398578i) q^{60} +(-6.41592 + 2.33520i) q^{61} +(-1.80301 + 0.840756i) q^{62} +(7.73617 + 8.59535i) q^{63} +(-0.866025 - 0.500000i) q^{64} +(0.375377 - 0.0702421i) q^{65} +(6.40003 - 8.64733i) q^{66} +(7.00516 - 4.90506i) q^{67} +(-0.467391 + 1.74433i) q^{68} +(-10.6726 + 7.06251i) q^{69} +(-8.34853 - 2.14372i) q^{70} +(1.55270 - 4.26601i) q^{71} +(2.93457 - 0.623146i) q^{72} +(-1.30619 + 14.9298i) q^{73} +(-1.37552 - 7.80099i) q^{74} +(-3.00569 + 8.12193i) q^{75} +(-2.15983 - 3.78618i) q^{76} +(16.9297 - 16.9297i) q^{77} +(-0.259979 + 0.141124i) q^{78} +(1.71816 + 2.04762i) q^{79} +(-1.56453 + 1.59758i) q^{80} +(-5.29299 + 7.27903i) q^{81} +(0.313896 + 3.58785i) q^{82} +(11.8579 - 3.17731i) q^{83} +(6.66412 - 0.406924i) q^{84} +(3.51795 + 1.98235i) q^{85} +(5.29111 + 0.932965i) q^{86} +(-8.58204 - 7.59428i) q^{87} +(-1.60757 - 5.99955i) q^{88} +(4.82625 + 4.04970i) q^{89} +(0.282391 - 6.70226i) q^{90} +(-0.618632 + 0.225164i) q^{91} +(-0.643978 + 7.36070i) q^{92} +(-1.64386 - 3.02834i) q^{93} -3.26768i q^{94} +(-9.40127 + 2.57217i) q^{95} +(0.772993 - 1.54999i) q^{96} +(-8.06126 + 11.5127i) q^{97} +(7.82881 + 0.684932i) q^{98} +(15.6254 + 10.1517i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 480q + O(q^{10}) \) \( 480q - 36q^{15} - 48q^{18} + 24q^{22} - 24q^{25} + 72q^{33} + 24q^{43} - 36q^{45} + 24q^{51} - 120q^{55} + 108q^{57} - 48q^{60} - 48q^{61} - 36q^{63} - 24q^{66} + 48q^{67} - 48q^{70} - 48q^{78} - 144q^{81} - 48q^{85} - 96q^{87} - 168q^{90} - 144q^{91} - 228q^{93} + 48q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{4}{9}\right)\) \(e\left(\frac{1}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.819152 + 0.573576i 0.579228 + 0.405580i
\(3\) −0.905142 + 1.47673i −0.522584 + 0.852588i
\(4\) 0.342020 + 0.939693i 0.171010 + 0.469846i
\(5\) 2.22540 0.218157i 0.995229 0.0975628i
\(6\) −1.58846 + 0.690494i −0.648488 + 0.281893i
\(7\) −3.72335 + 0.997670i −1.40730 + 0.377084i −0.880959 0.473193i \(-0.843101\pi\)
−0.526337 + 0.850276i \(0.676435\pi\)
\(8\) −0.258819 + 0.965926i −0.0915064 + 0.341506i
\(9\) −1.36143 2.67329i −0.453812 0.891098i
\(10\) 1.94807 + 1.09773i 0.616034 + 0.347134i
\(11\) −5.37905 + 3.10559i −1.62184 + 0.936372i −0.635417 + 0.772169i \(0.719172\pi\)
−0.986427 + 0.164203i \(0.947495\pi\)
\(12\) −1.69724 0.345486i −0.489952 0.0997331i
\(13\) 0.170138 0.0148851i 0.0471877 0.00412839i −0.0635374 0.997979i \(-0.520238\pi\)
0.110725 + 0.993851i \(0.464683\pi\)
\(14\) −3.62223 1.31839i −0.968083 0.352353i
\(15\) −1.69215 + 3.48377i −0.436910 + 0.899505i
\(16\) −0.766044 + 0.642788i −0.191511 + 0.160697i
\(17\) 1.47927 + 1.03580i 0.358777 + 0.251218i 0.739042 0.673659i \(-0.235278\pi\)
−0.380265 + 0.924877i \(0.624167\pi\)
\(18\) 0.418116 2.97072i 0.0985508 0.700205i
\(19\) −4.29655 + 0.734629i −0.985696 + 0.168535i
\(20\) 0.966132 + 2.01658i 0.216034 + 0.450921i
\(21\) 1.89688 6.40140i 0.413933 1.39690i
\(22\) −6.18755 0.541341i −1.31919 0.115414i
\(23\) 6.69654 + 3.12265i 1.39633 + 0.651117i 0.967640 0.252337i \(-0.0811990\pi\)
0.428686 + 0.903454i \(0.358977\pi\)
\(24\) −1.19214 1.25650i −0.243344 0.256483i
\(25\) 4.90481 0.970974i 0.980963 0.194195i
\(26\) 0.147906 + 0.0853938i 0.0290068 + 0.0167471i
\(27\) 5.18001 + 0.409245i 0.996894 + 0.0787593i
\(28\) −2.21097 3.15759i −0.417833 0.596728i
\(29\) −1.14890 + 6.51574i −0.213346 + 1.20994i 0.670409 + 0.741992i \(0.266119\pi\)
−0.883754 + 0.467951i \(0.844992\pi\)
\(30\) −3.38433 + 1.88316i −0.617892 + 0.343817i
\(31\) −0.994699 + 1.72287i −0.178653 + 0.309436i −0.941419 0.337238i \(-0.890507\pi\)
0.762766 + 0.646674i \(0.223841\pi\)
\(32\) −0.996195 + 0.0871557i −0.176104 + 0.0154071i
\(33\) 0.282694 10.7544i 0.0492106 1.87210i
\(34\) 0.617641 + 1.69695i 0.105925 + 0.291025i
\(35\) −8.06831 + 3.03249i −1.36379 + 0.512585i
\(36\) 2.04644 2.19365i 0.341073 0.365608i
\(37\) −5.60123 5.60123i −0.920836 0.920836i 0.0762525 0.997089i \(-0.475704\pi\)
−0.997089 + 0.0762525i \(0.975704\pi\)
\(38\) −3.94089 1.86263i −0.639297 0.302158i
\(39\) −0.132018 + 0.264720i −0.0211397 + 0.0423891i
\(40\) −0.365253 + 2.20604i −0.0577515 + 0.348805i
\(41\) 2.31503 + 2.75895i 0.361547 + 0.430875i 0.915900 0.401407i \(-0.131479\pi\)
−0.554353 + 0.832282i \(0.687034\pi\)
\(42\) 5.22553 4.15572i 0.806317 0.641241i
\(43\) 4.86935 2.27061i 0.742569 0.346265i −0.0142429 0.999899i \(-0.504534\pi\)
0.756812 + 0.653633i \(0.226756\pi\)
\(44\) −4.75805 3.99248i −0.717303 0.601888i
\(45\) −3.61294 5.65214i −0.538585 0.842571i
\(46\) 3.69441 + 6.39890i 0.544711 + 0.943466i
\(47\) −1.87426 2.67672i −0.273389 0.390440i 0.658855 0.752270i \(-0.271041\pi\)
−0.932244 + 0.361830i \(0.882152\pi\)
\(48\) −0.255841 1.71305i −0.0369275 0.247258i
\(49\) 6.80584 3.92936i 0.972263 0.561337i
\(50\) 4.57472 + 2.01791i 0.646963 + 0.285376i
\(51\) −2.86855 + 1.24694i −0.401677 + 0.174606i
\(52\) 0.0721779 + 0.154786i 0.0100093 + 0.0214650i
\(53\) 5.69696 + 2.65654i 0.782538 + 0.364903i 0.772474 0.635046i \(-0.219019\pi\)
0.0100634 + 0.999949i \(0.496797\pi\)
\(54\) 4.00848 + 3.30637i 0.545486 + 0.449939i
\(55\) −11.2930 + 8.08467i −1.52275 + 1.09014i
\(56\) 3.85470i 0.515106i
\(57\) 2.80414 7.00976i 0.371418 0.928466i
\(58\) −4.67840 + 4.67840i −0.614304 + 0.614304i
\(59\) −0.280178 1.58897i −0.0364761 0.206866i 0.961123 0.276121i \(-0.0890490\pi\)
−0.997599 + 0.0692547i \(0.977938\pi\)
\(60\) −3.85242 0.398578i −0.497345 0.0514562i
\(61\) −6.41592 + 2.33520i −0.821474 + 0.298992i −0.718355 0.695677i \(-0.755105\pi\)
−0.103119 + 0.994669i \(0.532882\pi\)
\(62\) −1.80301 + 0.840756i −0.228982 + 0.106776i
\(63\) 7.73617 + 8.59535i 0.974666 + 1.08291i
\(64\) −0.866025 0.500000i −0.108253 0.0625000i
\(65\) 0.375377 0.0702421i 0.0465598 0.00871246i
\(66\) 6.40003 8.64733i 0.787789 1.06441i
\(67\) 7.00516 4.90506i 0.855816 0.599249i −0.0611883 0.998126i \(-0.519489\pi\)
0.917004 + 0.398877i \(0.130600\pi\)
\(68\) −0.467391 + 1.74433i −0.0566795 + 0.211531i
\(69\) −10.6726 + 7.06251i −1.28483 + 0.850226i
\(70\) −8.34853 2.14372i −0.997841 0.256223i
\(71\) 1.55270 4.26601i 0.184272 0.506282i −0.812818 0.582517i \(-0.802068\pi\)
0.997090 + 0.0762354i \(0.0242900\pi\)
\(72\) 2.93457 0.623146i 0.345842 0.0734385i
\(73\) −1.30619 + 14.9298i −0.152878 + 1.74741i 0.402150 + 0.915574i \(0.368263\pi\)
−0.555028 + 0.831831i \(0.687293\pi\)
\(74\) −1.37552 7.80099i −0.159901 0.906846i
\(75\) −3.00569 + 8.12193i −0.347068 + 0.937840i
\(76\) −2.15983 3.78618i −0.247750 0.434304i
\(77\) 16.9297 16.9297i 1.92932 1.92932i
\(78\) −0.259979 + 0.141124i −0.0294369 + 0.0159791i
\(79\) 1.71816 + 2.04762i 0.193308 + 0.230376i 0.853989 0.520292i \(-0.174177\pi\)
−0.660681 + 0.750667i \(0.729732\pi\)
\(80\) −1.56453 + 1.59758i −0.174919 + 0.178615i
\(81\) −5.29299 + 7.27903i −0.588110 + 0.808781i
\(82\) 0.313896 + 3.58785i 0.0346640 + 0.396211i
\(83\) 11.8579 3.17731i 1.30157 0.348756i 0.459529 0.888163i \(-0.348018\pi\)
0.842045 + 0.539407i \(0.181352\pi\)
\(84\) 6.66412 0.406924i 0.727116 0.0443990i
\(85\) 3.51795 + 1.98235i 0.381575 + 0.215017i
\(86\) 5.29111 + 0.932965i 0.570555 + 0.100604i
\(87\) −8.58204 7.59428i −0.920091 0.814193i
\(88\) −1.60757 5.99955i −0.171368 0.639554i
\(89\) 4.82625 + 4.04970i 0.511581 + 0.429268i 0.861685 0.507443i \(-0.169409\pi\)
−0.350104 + 0.936711i \(0.613854\pi\)
\(90\) 0.282391 6.70226i 0.0297666 0.706480i
\(91\) −0.618632 + 0.225164i −0.0648503 + 0.0236036i
\(92\) −0.643978 + 7.36070i −0.0671393 + 0.767406i
\(93\) −1.64386 3.02834i −0.170460 0.314024i
\(94\) 3.26768i 0.337035i
\(95\) −9.40127 + 2.57217i −0.964550 + 0.263899i
\(96\) 0.772993 1.54999i 0.0788933 0.158196i
\(97\) −8.06126 + 11.5127i −0.818497 + 1.16894i 0.164692 + 0.986345i \(0.447337\pi\)
−0.983189 + 0.182590i \(0.941552\pi\)
\(98\) 7.82881 + 0.684932i 0.790829 + 0.0691886i
\(99\) 15.6254 + 10.1517i 1.57041 + 1.02028i
\(100\) 2.58996 + 4.27693i 0.258996 + 0.427693i
\(101\) 4.28641 5.10834i 0.426514 0.508299i −0.509399 0.860530i \(-0.670132\pi\)
0.935913 + 0.352231i \(0.114577\pi\)
\(102\) −3.06499 0.623899i −0.303479 0.0617752i
\(103\) 6.22560 + 1.66814i 0.613426 + 0.164367i 0.552138 0.833753i \(-0.313812\pi\)
0.0612886 + 0.998120i \(0.480479\pi\)
\(104\) −0.0296569 + 0.168193i −0.00290810 + 0.0164927i
\(105\) 2.82481 14.6595i 0.275673 1.43062i
\(106\) 3.14295 + 5.44375i 0.305270 + 0.528744i
\(107\) −1.14667 4.27944i −0.110853 0.413709i 0.888090 0.459669i \(-0.152032\pi\)
−0.998943 + 0.0459598i \(0.985365\pi\)
\(108\) 1.38710 + 5.00759i 0.133474 + 0.481855i
\(109\) −4.88460 + 13.4203i −0.467860 + 1.28544i 0.451589 + 0.892226i \(0.350857\pi\)
−0.919449 + 0.393209i \(0.871365\pi\)
\(110\) −13.8879 + 0.145158i −1.32416 + 0.0138403i
\(111\) 13.3414 3.20157i 1.26631 0.303879i
\(112\) 2.21097 3.15759i 0.208917 0.298364i
\(113\) 9.98092 + 9.98092i 0.938926 + 0.938926i 0.998239 0.0593137i \(-0.0188912\pi\)
−0.0593137 + 0.998239i \(0.518891\pi\)
\(114\) 6.31765 4.13367i 0.591702 0.387154i
\(115\) 15.5837 + 5.48824i 1.45319 + 0.511781i
\(116\) −6.51574 + 1.14890i −0.604971 + 0.106673i
\(117\) −0.271424 0.434563i −0.0250931 0.0401753i
\(118\) 0.681887 1.46231i 0.0627728 0.134617i
\(119\) −6.54125 2.38082i −0.599635 0.218249i
\(120\) −2.92710 2.53615i −0.267207 0.231518i
\(121\) 13.7894 23.8840i 1.25358 2.17127i
\(122\) −6.59503 1.76713i −0.597086 0.159989i
\(123\) −6.16964 + 0.921426i −0.556298 + 0.0830822i
\(124\) −1.95917 0.345455i −0.175939 0.0310228i
\(125\) 10.7034 3.23083i 0.957337 0.288974i
\(126\) 1.40701 + 11.4782i 0.125346 + 1.02256i
\(127\) 0.747427 + 8.54313i 0.0663234 + 0.758080i 0.954428 + 0.298440i \(0.0964662\pi\)
−0.888105 + 0.459641i \(0.847978\pi\)
\(128\) −0.422618 0.906308i −0.0373545 0.0801070i
\(129\) −1.05438 + 9.24592i −0.0928329 + 0.814058i
\(130\) 0.347780 + 0.157769i 0.0305023 + 0.0138372i
\(131\) −0.600560 + 0.105895i −0.0524712 + 0.00925209i −0.199822 0.979832i \(-0.564036\pi\)
0.147351 + 0.989084i \(0.452925\pi\)
\(132\) 10.2025 3.41257i 0.888013 0.297026i
\(133\) 15.2647 7.02182i 1.32361 0.608869i
\(134\) 8.55172 0.738756
\(135\) 11.6169 0.219321i 0.999822 0.0188762i
\(136\) −1.38337 + 1.16079i −0.118623 + 0.0995365i
\(137\) 2.31990 4.97504i 0.198202 0.425046i −0.781937 0.623358i \(-0.785768\pi\)
0.980139 + 0.198312i \(0.0635458\pi\)
\(138\) −12.7934 0.336292i −1.08905 0.0286270i
\(139\) 10.3222 12.3015i 0.875520 1.04340i −0.123178 0.992385i \(-0.539309\pi\)
0.998698 0.0510191i \(-0.0162469\pi\)
\(140\) −5.60913 6.54455i −0.474058 0.553116i
\(141\) 5.64926 0.344954i 0.475753 0.0290504i
\(142\) 3.71878 2.60392i 0.312073 0.218516i
\(143\) −0.868951 + 0.608446i −0.0726654 + 0.0508808i
\(144\) 2.76128 + 1.17275i 0.230107 + 0.0977290i
\(145\) −1.13531 + 14.7508i −0.0942824 + 1.22499i
\(146\) −9.63337 + 11.4806i −0.797264 + 0.950142i
\(147\) −0.357678 + 13.6070i −0.0295008 + 1.12229i
\(148\) 3.34770 7.17916i 0.275179 0.590124i
\(149\) −10.0722 + 8.45159i −0.825148 + 0.692382i −0.954172 0.299260i \(-0.903260\pi\)
0.129023 + 0.991642i \(0.458816\pi\)
\(150\) −7.12067 + 4.92910i −0.581400 + 0.402460i
\(151\) −6.57039 −0.534691 −0.267345 0.963601i \(-0.586146\pi\)
−0.267345 + 0.963601i \(0.586146\pi\)
\(152\) 0.402431 4.34028i 0.0326415 0.352043i
\(153\) 0.755059 5.36471i 0.0610429 0.433711i
\(154\) 23.5785 4.15753i 1.90001 0.335023i
\(155\) −1.83775 + 4.05107i −0.147611 + 0.325390i
\(156\) −0.293908 0.0335165i −0.0235315 0.00268346i
\(157\) −3.70055 7.93586i −0.295336 0.633351i 0.701514 0.712656i \(-0.252508\pi\)
−0.996850 + 0.0793048i \(0.974730\pi\)
\(158\) 0.232966 + 2.66281i 0.0185338 + 0.211842i
\(159\) −9.07953 + 6.00830i −0.720054 + 0.476489i
\(160\) −2.19792 + 0.411283i −0.173761 + 0.0325148i
\(161\) −28.0490 4.94579i −2.21057 0.389783i
\(162\) −8.51084 + 2.92670i −0.668675 + 0.229943i
\(163\) −17.3233 4.64177i −1.35687 0.363571i −0.494202 0.869347i \(-0.664540\pi\)
−0.862665 + 0.505776i \(0.831206\pi\)
\(164\) −1.80078 + 3.11903i −0.140617 + 0.243556i
\(165\) −1.71704 23.9945i −0.133671 1.86797i
\(166\) 11.5359 + 4.19871i 0.895356 + 0.325883i
\(167\) 1.00576 2.15685i 0.0778277 0.166902i −0.863544 0.504274i \(-0.831760\pi\)
0.941371 + 0.337372i \(0.109538\pi\)
\(168\) 5.69233 + 3.48905i 0.439173 + 0.269186i
\(169\) −12.7738 + 2.25236i −0.982598 + 0.173259i
\(170\) 1.74470 + 3.64166i 0.133812 + 0.279303i
\(171\) 7.81335 + 10.4858i 0.597502 + 0.801868i
\(172\) 3.79909 + 3.79909i 0.289678 + 0.289678i
\(173\) −0.631290 + 0.901575i −0.0479961 + 0.0685455i −0.842433 0.538801i \(-0.818877\pi\)
0.794437 + 0.607347i \(0.207766\pi\)
\(174\) −2.67409 11.1433i −0.202723 0.844774i
\(175\) −17.2937 + 8.50866i −1.30728 + 0.643195i
\(176\) 2.12435 5.83661i 0.160129 0.439951i
\(177\) 2.60007 + 1.02450i 0.195433 + 0.0770059i
\(178\) 1.63062 + 6.08554i 0.122220 + 0.456131i
\(179\) −6.73663 11.6682i −0.503520 0.872122i −0.999992 0.00406900i \(-0.998705\pi\)
0.496472 0.868053i \(-0.334629\pi\)
\(180\) 4.07558 5.32819i 0.303776 0.397140i
\(181\) 1.39404 7.90599i 0.103618 0.587648i −0.888145 0.459563i \(-0.848006\pi\)
0.991763 0.128085i \(-0.0408829\pi\)
\(182\) −0.635903 0.170390i −0.0471362 0.0126301i
\(183\) 2.35886 11.5882i 0.174372 0.856627i
\(184\) −4.74944 + 5.66016i −0.350133 + 0.417273i
\(185\) −13.6869 11.2430i −1.00628 0.826604i
\(186\) 0.390412 3.42355i 0.0286264 0.251027i
\(187\) −11.1739 0.977586i −0.817114 0.0714882i
\(188\) 1.87426 2.67672i 0.136695 0.195220i
\(189\) −19.6953 + 3.64418i −1.43262 + 0.265075i
\(190\) −9.17641 3.28535i −0.665727 0.238345i
\(191\) 8.80171i 0.636870i 0.947945 + 0.318435i \(0.103157\pi\)
−0.947945 + 0.318435i \(0.896843\pi\)
\(192\) 1.52224 0.826310i 0.109858 0.0596338i
\(193\) −1.57316 + 17.9812i −0.113238 + 1.29432i 0.700737 + 0.713419i \(0.252855\pi\)
−0.813976 + 0.580899i \(0.802701\pi\)
\(194\) −13.2068 + 4.80688i −0.948193 + 0.345114i
\(195\) −0.236041 + 0.617908i −0.0169033 + 0.0442493i
\(196\) 6.02012 + 5.05148i 0.430009 + 0.360820i
\(197\) −1.06962 3.99189i −0.0762075 0.284410i 0.917297 0.398204i \(-0.130366\pi\)
−0.993504 + 0.113794i \(0.963700\pi\)
\(198\) 6.97679 + 17.2781i 0.495819 + 1.22790i
\(199\) −9.94814 1.75412i −0.705205 0.124347i −0.190466 0.981694i \(-0.561000\pi\)
−0.514739 + 0.857347i \(0.672111\pi\)
\(200\) −0.331571 + 4.98899i −0.0234456 + 0.352775i
\(201\) 0.902767 + 14.7845i 0.0636763 + 1.04282i
\(202\) 6.44125 1.72593i 0.453205 0.121436i
\(203\) −2.22279 25.4066i −0.156009 1.78320i
\(204\) −2.15284 2.26907i −0.150729 0.158867i
\(205\) 5.75376 + 5.63472i 0.401860 + 0.393546i
\(206\) 4.14290 + 4.93732i 0.288650 + 0.343999i
\(207\) −0.769151 22.1531i −0.0534597 1.53975i
\(208\) −0.120765 + 0.120765i −0.00837355 + 0.00837355i
\(209\) 20.8299 17.2949i 1.44083 1.19632i
\(210\) 10.7223 10.3881i 0.739909 0.716848i
\(211\) 0.459303 + 2.60484i 0.0316197 + 0.179324i 0.996527 0.0832647i \(-0.0265347\pi\)
−0.964908 + 0.262589i \(0.915424\pi\)
\(212\) −0.547852 + 6.26198i −0.0376266 + 0.430075i
\(213\) 4.89431 + 6.15425i 0.335352 + 0.421683i
\(214\) 1.51529 4.16322i 0.103583 0.284592i
\(215\) 10.3409 6.11531i 0.705243 0.417061i
\(216\) −1.73599 + 4.89759i −0.118119 + 0.333239i
\(217\) 1.98476 7.40723i 0.134734 0.502836i
\(218\) −11.6988 + 8.19161i −0.792344 + 0.554806i
\(219\) −20.8650 15.4425i −1.40992 1.04351i
\(220\) −11.4595 7.84686i −0.772602 0.529035i
\(221\) 0.267098 + 0.154209i 0.0179670 + 0.0103732i
\(222\) 12.7650 + 5.02973i 0.856728 + 0.337574i
\(223\) 21.1846 9.87853i 1.41862 0.661515i 0.446242 0.894912i \(-0.352762\pi\)
0.972382 + 0.233397i \(0.0749841\pi\)
\(224\) 3.62223 1.31839i 0.242021 0.0880883i
\(225\) −9.27328 11.7901i −0.618219 0.786006i
\(226\) 2.45107 + 13.9007i 0.163043 + 0.924661i
\(227\) −10.2843 + 10.2843i −0.682593 + 0.682593i −0.960584 0.277991i \(-0.910332\pi\)
0.277991 + 0.960584i \(0.410332\pi\)
\(228\) 7.54610 + 0.237551i 0.499752 + 0.0157322i
\(229\) 0.885181i 0.0584944i −0.999572 0.0292472i \(-0.990689\pi\)
0.999572 0.0292472i \(-0.00931100\pi\)
\(230\) 9.61750 + 13.4342i 0.634159 + 0.885822i
\(231\) 9.67675 + 40.3244i 0.636683 + 2.65315i
\(232\) −5.99637 2.79615i −0.393681 0.183576i
\(233\) −5.79336 12.4239i −0.379535 0.813916i −0.999569 0.0293415i \(-0.990659\pi\)
0.620034 0.784575i \(-0.287119\pi\)
\(234\) 0.0269177 0.511655i 0.00175967 0.0334479i
\(235\) −4.75493 5.54790i −0.310177 0.361905i
\(236\) 1.39732 0.806741i 0.0909576 0.0525144i
\(237\) −4.57895 + 0.683859i −0.297435 + 0.0444214i
\(238\) −3.99270 5.70216i −0.258808 0.369616i
\(239\) 10.9711 + 19.0025i 0.709660 + 1.22917i 0.964983 + 0.262312i \(0.0844850\pi\)
−0.255323 + 0.966856i \(0.582182\pi\)
\(240\) −0.943064 3.75641i −0.0608745 0.242475i
\(241\) −5.12338 4.29903i −0.330026 0.276925i 0.462684 0.886523i \(-0.346886\pi\)
−0.792710 + 0.609598i \(0.791331\pi\)
\(242\) 24.9949 11.6553i 1.60674 0.749233i
\(243\) −5.95822 14.4048i −0.382220 0.924071i
\(244\) −4.38874 5.23030i −0.280961 0.334836i
\(245\) 14.2885 10.2291i 0.912860 0.653515i
\(246\) −5.58238 2.78397i −0.355920 0.177500i
\(247\) −0.720070 + 0.188943i −0.0458169 + 0.0120221i
\(248\) −1.40672 1.40672i −0.0893266 0.0893266i
\(249\) −6.04107 + 20.3868i −0.382837 + 1.29196i
\(250\) 10.6208 + 3.49265i 0.671718 + 0.220895i
\(251\) 1.08580 + 2.98322i 0.0685354 + 0.188299i 0.969232 0.246149i \(-0.0791654\pi\)
−0.900697 + 0.434449i \(0.856943\pi\)
\(252\) −5.43107 + 10.2094i −0.342125 + 0.643132i
\(253\) −45.7187 + 3.99987i −2.87431 + 0.251469i
\(254\) −4.28788 + 7.42683i −0.269046 + 0.466001i
\(255\) −6.11163 + 3.40073i −0.382725 + 0.212962i
\(256\) 0.173648 0.984808i 0.0108530 0.0615505i
\(257\) 17.5303 + 25.0358i 1.09351 + 1.56169i 0.794324 + 0.607495i \(0.207825\pi\)
0.299184 + 0.954196i \(0.403286\pi\)
\(258\) −6.16694 + 6.96905i −0.383937 + 0.433874i
\(259\) 26.4435 + 15.2672i 1.64312 + 0.948656i
\(260\) 0.194393 + 0.328715i 0.0120557 + 0.0203860i
\(261\) 18.9826 5.79941i 1.17500 0.358974i
\(262\) −0.552689 0.257723i −0.0341452 0.0159222i
\(263\) 2.03029 + 0.177627i 0.125193 + 0.0109530i 0.149580 0.988750i \(-0.452208\pi\)
−0.0243870 + 0.999703i \(0.507763\pi\)
\(264\) 10.3148 + 3.05650i 0.634830 + 0.188115i
\(265\) 13.2576 + 4.66902i 0.814405 + 0.286816i
\(266\) 16.5316 + 3.00351i 1.01362 + 0.184157i
\(267\) −10.3487 + 3.46148i −0.633333 + 0.211839i
\(268\) 7.00516 + 4.90506i 0.427908 + 0.299624i
\(269\) 17.6386 14.8005i 1.07544 0.902403i 0.0799079 0.996802i \(-0.474537\pi\)
0.995534 + 0.0943990i \(0.0300929\pi\)
\(270\) 9.64179 + 6.48351i 0.586781 + 0.394574i
\(271\) 6.89457 + 2.50942i 0.418815 + 0.152436i 0.542827 0.839844i \(-0.317354\pi\)
−0.124012 + 0.992281i \(0.539576\pi\)
\(272\) −1.79899 + 0.157391i −0.109080 + 0.00954324i
\(273\) 0.227445 1.11736i 0.0137656 0.0676254i
\(274\) 4.75392 2.74467i 0.287195 0.165812i
\(275\) −23.3678 + 20.4553i −1.40913 + 1.23350i
\(276\) −10.2868 7.61346i −0.619195 0.458276i
\(277\) 5.71659 21.3346i 0.343477 1.28187i −0.550905 0.834568i \(-0.685717\pi\)
0.894382 0.447305i \(-0.147616\pi\)
\(278\) 15.5113 4.15625i 0.930309 0.249276i
\(279\) 5.95995 + 0.313547i 0.356813 + 0.0187716i
\(280\) −0.840930 8.57825i −0.0502552 0.512649i
\(281\) 1.92582 + 5.29115i 0.114885 + 0.315643i 0.983787 0.179340i \(-0.0573963\pi\)
−0.868902 + 0.494984i \(0.835174\pi\)
\(282\) 4.82546 + 2.95771i 0.287352 + 0.176129i
\(283\) −5.29303 3.70622i −0.314638 0.220312i 0.405580 0.914059i \(-0.367069\pi\)
−0.720218 + 0.693747i \(0.755958\pi\)
\(284\) 4.53979 0.269387
\(285\) 4.71111 16.2113i 0.279062 0.960273i
\(286\) −1.06079 −0.0627261
\(287\) −11.3722 7.96290i −0.671280 0.470035i
\(288\) 1.58925 + 2.54446i 0.0936473 + 0.149934i
\(289\) −4.69897 12.9103i −0.276410 0.759430i
\(290\) −9.39069 + 11.4319i −0.551440 + 0.671307i
\(291\) −9.70447 22.3249i −0.568886 1.30871i
\(292\) −14.4762 + 3.87889i −0.847156 + 0.226995i
\(293\) 3.34801 12.4950i 0.195593 0.729963i −0.796519 0.604613i \(-0.793328\pi\)
0.992113 0.125350i \(-0.0400055\pi\)
\(294\) −8.09764 + 10.9410i −0.472264 + 0.638094i
\(295\) −0.970154 3.47497i −0.0564845 0.202321i
\(296\) 6.86007 3.96067i 0.398734 0.230209i
\(297\) −29.1345 + 13.8857i −1.69055 + 0.805728i
\(298\) −13.0983 + 1.14595i −0.758765 + 0.0663833i
\(299\) 1.18581 + 0.431601i 0.0685774 + 0.0249601i
\(300\) −8.66013 0.0465638i −0.499993 0.00268836i
\(301\) −15.8650 + 13.3123i −0.914442 + 0.767308i
\(302\) −5.38215 3.76862i −0.309708 0.216860i
\(303\) 3.66381 + 10.9536i 0.210480 + 0.629269i
\(304\) 2.81914 3.32453i 0.161689 0.190675i
\(305\) −13.7685 + 6.59644i −0.788384 + 0.377711i
\(306\) 3.69558 3.96143i 0.211262 0.226460i
\(307\) 26.0610 + 2.28004i 1.48738 + 0.130129i 0.801678 0.597756i \(-0.203941\pi\)
0.685700 + 0.727885i \(0.259496\pi\)
\(308\) 21.6991 + 10.1184i 1.23642 + 0.576552i
\(309\) −8.09844 + 7.68359i −0.460704 + 0.437104i
\(310\) −3.82899 + 2.26436i −0.217472 + 0.128607i
\(311\) −9.19721 5.31001i −0.521526 0.301103i 0.216033 0.976386i \(-0.430688\pi\)
−0.737559 + 0.675283i \(0.764022\pi\)
\(312\) −0.221531 0.196034i −0.0125417 0.0110982i
\(313\) −18.7832 26.8251i −1.06169 1.51625i −0.841101 0.540878i \(-0.818092\pi\)
−0.220586 0.975368i \(-0.570797\pi\)
\(314\) 1.52051 8.62323i 0.0858072 0.486637i
\(315\) 19.0912 + 17.4404i 1.07567 + 0.982656i
\(316\) −1.33649 + 2.31487i −0.0751835 + 0.130222i
\(317\) −18.7384 + 1.63939i −1.05245 + 0.0920776i −0.600229 0.799828i \(-0.704924\pi\)
−0.452222 + 0.891905i \(0.649368\pi\)
\(318\) −10.8837 0.286094i −0.610330 0.0160433i
\(319\) −14.0553 38.6165i −0.786943 2.16211i
\(320\) −2.03633 0.923771i −0.113834 0.0516404i
\(321\) 7.35747 + 2.18018i 0.410654 + 0.121686i
\(322\) −20.1396 20.1396i −1.12233 1.12233i
\(323\) −7.11670 3.36364i −0.395984 0.187158i
\(324\) −8.65036 2.48421i −0.480575 0.138012i
\(325\) 0.820041 0.238208i 0.0454877 0.0132134i
\(326\) −11.5280 13.7386i −0.638478 0.760908i
\(327\) −15.3969 19.3605i −0.851450 1.07064i
\(328\) −3.26411 + 1.52208i −0.180231 + 0.0840429i
\(329\) 9.64902 + 8.09649i 0.531968 + 0.446374i
\(330\) 12.3562 20.6400i 0.680184 1.13619i
\(331\) 6.78745 + 11.7562i 0.373072 + 0.646180i 0.990036 0.140811i \(-0.0449711\pi\)
−0.616964 + 0.786991i \(0.711638\pi\)
\(332\) 7.04134 + 10.0561i 0.386444 + 0.551899i
\(333\) −7.34801 + 22.5994i −0.402669 + 1.23844i
\(334\) 2.06099 1.18991i 0.112772 0.0651090i
\(335\) 14.5192 12.4440i 0.793269 0.679886i
\(336\) 2.66165 + 6.12305i 0.145205 + 0.334040i
\(337\) 7.64443 + 16.3935i 0.416418 + 0.893012i 0.996896 + 0.0787356i \(0.0250883\pi\)
−0.580477 + 0.814277i \(0.697134\pi\)
\(338\) −11.7556 5.48171i −0.639418 0.298166i
\(339\) −23.7732 + 5.70492i −1.29118 + 0.309849i
\(340\) −0.659595 + 3.98379i −0.0357716 + 0.216051i
\(341\) 12.3565i 0.669143i
\(342\) 0.385924 + 13.0710i 0.0208684 + 0.706799i
\(343\) −2.34058 + 2.34058i −0.126379 + 0.126379i
\(344\) 0.932965 + 5.29111i 0.0503021 + 0.285277i
\(345\) −22.2101 + 18.0452i −1.19575 + 0.971522i
\(346\) −1.03424 + 0.376434i −0.0556013 + 0.0202372i
\(347\) −8.35055 + 3.89392i −0.448281 + 0.209037i −0.633630 0.773636i \(-0.718436\pi\)
0.185350 + 0.982673i \(0.440658\pi\)
\(348\) 4.20106 10.6619i 0.225201 0.571537i
\(349\) −7.08477 4.09039i −0.379239 0.218954i 0.298248 0.954488i \(-0.403598\pi\)
−0.677487 + 0.735535i \(0.736931\pi\)
\(350\) −19.0465 2.94934i −1.01808 0.157649i
\(351\) 0.887407 0.00747705i 0.0473663 0.000399095i
\(352\) 5.08791 3.56259i 0.271186 0.189887i
\(353\) −1.25393 + 4.67972i −0.0667398 + 0.249076i −0.991234 0.132121i \(-0.957821\pi\)
0.924494 + 0.381197i \(0.124488\pi\)
\(354\) 1.54223 + 2.33056i 0.0819685 + 0.123868i
\(355\) 2.52472 9.83231i 0.133998 0.521845i
\(356\) −2.15480 + 5.92027i −0.114204 + 0.313774i
\(357\) 9.43658 7.50465i 0.499437 0.397188i
\(358\) 1.17427 13.4220i 0.0620622 0.709375i
\(359\) 1.82848 + 10.3698i 0.0965032 + 0.547297i 0.994276 + 0.106839i \(0.0340729\pi\)
−0.897773 + 0.440458i \(0.854816\pi\)
\(360\) 6.39465 2.02695i 0.337027 0.106829i
\(361\) 17.9206 6.31274i 0.943192 0.332249i
\(362\) 5.67662 5.67662i 0.298357 0.298357i
\(363\) 22.7887 + 41.9816i 1.19610 + 2.20346i
\(364\) −0.423169 0.504314i −0.0221801 0.0264332i
\(365\) 0.350250 + 33.5098i 0.0183329 + 1.75398i
\(366\) 8.57901 8.13954i 0.448432 0.425460i
\(367\) 0.0395385 + 0.451928i 0.00206390 + 0.0235904i 0.997157 0.0753544i \(-0.0240088\pi\)
−0.995093 + 0.0989448i \(0.968453\pi\)
\(368\) −7.13705 + 1.91237i −0.372044 + 0.0996890i
\(369\) 4.22371 9.94489i 0.219878 0.517710i
\(370\) −4.76293 17.0602i −0.247613 0.886920i
\(371\) −23.8621 4.20754i −1.23886 0.218445i
\(372\) 2.28347 2.58048i 0.118393 0.133791i
\(373\) 1.35542 + 5.05851i 0.0701811 + 0.261920i 0.992097 0.125469i \(-0.0400437\pi\)
−0.921916 + 0.387389i \(0.873377\pi\)
\(374\) −8.59237 7.20986i −0.444301 0.372813i
\(375\) −4.91702 + 18.7303i −0.253914 + 0.967227i
\(376\) 3.07061 1.11761i 0.158355 0.0576364i
\(377\) −0.0984838 + 1.12567i −0.00507217 + 0.0579752i
\(378\) −18.2237 8.31163i −0.937324 0.427504i
\(379\) 35.1801i 1.80708i 0.428502 + 0.903541i \(0.359041\pi\)
−0.428502 + 0.903541i \(0.640959\pi\)
\(380\) −5.63247 7.95458i −0.288940 0.408061i
\(381\) −13.2924 6.62900i −0.680990 0.339614i
\(382\) −5.04846 + 7.20994i −0.258301 + 0.368893i
\(383\) −14.2664 1.24815i −0.728981 0.0637776i −0.283378 0.959008i \(-0.591455\pi\)
−0.445603 + 0.895231i \(0.647011\pi\)
\(384\) 1.72090 + 0.196246i 0.0878192 + 0.0100147i
\(385\) 33.9821 41.3688i 1.73189 2.10835i
\(386\) −11.6023 + 13.8271i −0.590540 + 0.703778i
\(387\) −12.6993 9.92590i −0.645543 0.504562i
\(388\) −13.5755 3.63754i −0.689191 0.184668i
\(389\) 3.68583 20.9034i 0.186879 1.05984i −0.736639 0.676286i \(-0.763588\pi\)
0.923518 0.383556i \(-0.125301\pi\)
\(390\) −0.547771 + 0.370773i −0.0277375 + 0.0187748i
\(391\) 6.67159 + 11.5555i 0.337397 + 0.584388i
\(392\) 2.03398 + 7.59093i 0.102732 + 0.383400i
\(393\) 0.387215 0.982712i 0.0195324 0.0495713i
\(394\) 1.41347 3.88347i 0.0712095 0.195647i
\(395\) 4.27030 + 4.18195i 0.214862 + 0.210417i
\(396\) −4.19529 + 18.1551i −0.210821 + 0.912330i
\(397\) 5.78962 8.26843i 0.290572 0.414980i −0.647152 0.762361i \(-0.724040\pi\)
0.937724 + 0.347381i \(0.112929\pi\)
\(398\) −7.14291 7.14291i −0.358042 0.358042i
\(399\) −3.44738 + 28.8974i −0.172585 + 1.44668i
\(400\) −3.13318 + 3.89656i −0.156659 + 0.194828i
\(401\) 28.6872 5.05833i 1.43257 0.252601i 0.597115 0.802156i \(-0.296314\pi\)
0.835458 + 0.549555i \(0.185203\pi\)
\(402\) −7.74052 + 12.6285i −0.386062 + 0.629854i
\(403\) −0.143591 + 0.307931i −0.00715276 + 0.0153391i
\(404\) 6.26631 + 2.28075i 0.311761 + 0.113472i
\(405\) −10.1911 + 17.3535i −0.506397 + 0.862300i
\(406\) 12.7518 22.0868i 0.632863 1.09615i
\(407\) 47.5244 + 12.7341i 2.35570 + 0.631207i
\(408\) −0.462014 3.09353i −0.0228731 0.153153i
\(409\) −30.1159 5.31025i −1.48914 0.262575i −0.630915 0.775852i \(-0.717320\pi\)
−0.858223 + 0.513277i \(0.828431\pi\)
\(410\) 1.48126 + 7.91592i 0.0731541 + 0.390939i
\(411\) 5.24693 + 7.92897i 0.258812 + 0.391107i
\(412\) 0.561737 + 6.42068i 0.0276748 + 0.316324i
\(413\) 2.62847 + 5.63677i 0.129339 + 0.277367i
\(414\) 12.0764 18.5879i 0.593525 0.913546i
\(415\) 25.6954 9.65768i 1.26134 0.474077i
\(416\) −0.168193 + 0.0296569i −0.00824634 + 0.00145405i
\(417\) 8.82292 + 26.3777i 0.432060 + 1.29172i
\(418\) 26.9828 2.21966i 1.31977 0.108567i
\(419\) −19.8165 −0.968097 −0.484049 0.875041i \(-0.660834\pi\)
−0.484049 + 0.875041i \(0.660834\pi\)
\(420\) 14.7416 2.35939i 0.719315 0.115127i
\(421\) −17.2290 + 14.4568i −0.839690 + 0.704583i −0.957494 0.288453i \(-0.906859\pi\)
0.117804 + 0.993037i \(0.462415\pi\)
\(422\) −1.11783 + 2.39720i −0.0544153 + 0.116694i
\(423\) −4.60398 + 8.65463i −0.223853 + 0.420803i
\(424\) −4.04050 + 4.81528i −0.196224 + 0.233851i
\(425\) 8.26130 + 3.64407i 0.400732 + 0.176763i
\(426\) 0.479246 + 7.84853i 0.0232195 + 0.380262i
\(427\) 21.5590 15.0958i 1.04331 0.730535i
\(428\) 3.62918 2.54118i 0.175423 0.122832i
\(429\) −0.111983 1.83393i −0.00540661 0.0885431i
\(430\) 11.9784 + 0.921928i 0.577648 + 0.0444593i
\(431\) −15.7255 + 18.7409i −0.757470 + 0.902718i −0.997685 0.0680021i \(-0.978338\pi\)
0.240215 + 0.970720i \(0.422782\pi\)
\(432\) −4.23118 + 3.01615i −0.203573 + 0.145114i
\(433\) 10.3890 22.2793i 0.499264 1.07068i −0.481673 0.876351i \(-0.659971\pi\)
0.980937 0.194324i \(-0.0622514\pi\)
\(434\) 5.87443 4.92924i 0.281982 0.236611i
\(435\) −20.7552 15.0281i −0.995137 0.720542i
\(436\) −14.2816 −0.683966
\(437\) −31.0660 8.49713i −1.48609 0.406473i
\(438\) −8.23413 24.6174i −0.393442 1.17627i
\(439\) 15.6147 2.75329i 0.745247 0.131407i 0.211886 0.977294i \(-0.432040\pi\)
0.533362 + 0.845887i \(0.320928\pi\)
\(440\) −4.88634 13.0007i −0.232947 0.619784i
\(441\) −19.7700 12.8445i −0.941430 0.611641i
\(442\) 0.130343 + 0.279522i 0.00619980 + 0.0132955i
\(443\) 3.00830 + 34.3850i 0.142929 + 1.63368i 0.641706 + 0.766951i \(0.278227\pi\)
−0.498778 + 0.866730i \(0.666218\pi\)
\(444\) 7.57151 + 11.4418i 0.359328 + 0.543004i
\(445\) 11.6238 + 7.95933i 0.551021 + 0.377308i
\(446\) 23.0195 + 4.05896i 1.09000 + 0.192197i
\(447\) −3.36389 22.5238i −0.159107 1.06534i
\(448\) 3.72335 + 0.997670i 0.175912 + 0.0471355i
\(449\) 13.7522 23.8196i 0.649008 1.12411i −0.334352 0.942448i \(-0.608518\pi\)
0.983360 0.181667i \(-0.0581491\pi\)
\(450\) −0.833711 14.9768i −0.0393015 0.706014i
\(451\) −21.0208 7.65096i −0.989833 0.360270i
\(452\) −5.96532 + 12.7927i −0.280585 + 0.601716i
\(453\) 5.94714 9.70266i 0.279421 0.455871i
\(454\) −14.3232 + 2.52557i −0.672223 + 0.118531i
\(455\) −1.32758 + 0.636039i −0.0622381 + 0.0298179i
\(456\) 6.04515 + 4.52285i 0.283090 + 0.211802i
\(457\) −14.0461 14.0461i −0.657048 0.657048i 0.297633 0.954681i \(-0.403803\pi\)
−0.954681 + 0.297633i \(0.903803\pi\)
\(458\) 0.507719 0.725098i 0.0237242 0.0338816i
\(459\) 7.23876 + 5.97084i 0.337877 + 0.278695i
\(460\) 0.172680 + 16.5210i 0.00805125 + 0.770295i
\(461\) 12.2137 33.5568i 0.568847 1.56289i −0.237460 0.971397i \(-0.576315\pi\)
0.806307 0.591497i \(-0.201463\pi\)
\(462\) −15.2024 + 38.5822i −0.707279 + 1.79501i
\(463\) −1.57582 5.88103i −0.0732344 0.273315i 0.919593 0.392873i \(-0.128519\pi\)
−0.992827 + 0.119558i \(0.961852\pi\)
\(464\) −3.30813 5.72985i −0.153576 0.266001i
\(465\) −4.31890 6.38065i −0.200284 0.295895i
\(466\) 2.38041 13.5000i 0.110271 0.625375i
\(467\) −20.5553 5.50776i −0.951184 0.254869i −0.250319 0.968163i \(-0.580536\pi\)
−0.700865 + 0.713294i \(0.747202\pi\)
\(468\) 0.315523 0.403684i 0.0145851 0.0186603i
\(469\) −21.1890 + 25.2521i −0.978419 + 1.16603i
\(470\) −0.712866 7.27189i −0.0328821 0.335427i
\(471\) 15.0686 + 1.71838i 0.694325 + 0.0791790i
\(472\) 1.60734 + 0.140624i 0.0739839 + 0.00647275i
\(473\) −19.1408 + 27.3360i −0.880097 + 1.25691i
\(474\) −4.14311 2.06620i −0.190299 0.0949035i
\(475\) −20.3605 + 7.77505i −0.934202 + 0.356744i
\(476\) 6.96105i 0.319059i
\(477\) −0.654341 18.8463i −0.0299602 0.862915i
\(478\) −1.91239 + 21.8587i −0.0874705 + 0.999792i
\(479\) 33.1324 12.0592i 1.51386 0.550999i 0.554251 0.832349i \(-0.313005\pi\)
0.959605 + 0.281351i \(0.0907824\pi\)
\(480\) 1.38208 3.61799i 0.0630829 0.165138i
\(481\) −1.03635 0.869605i −0.0472537 0.0396506i
\(482\) −1.73101 6.46021i −0.0788452 0.294254i
\(483\) 32.6919 36.9440i 1.48753 1.68101i
\(484\) 27.1599 + 4.78902i 1.23454 + 0.217683i
\(485\) −15.4280 + 27.3789i −0.700548 + 1.24321i
\(486\) 3.38160 15.2173i 0.153392 0.690269i
\(487\) 18.0578 4.83858i 0.818278 0.219257i 0.174685 0.984624i \(-0.444109\pi\)
0.643593 + 0.765368i \(0.277443\pi\)
\(488\) −0.595071 6.80169i −0.0269376 0.307898i
\(489\) 22.5347 21.3803i 1.01905 0.966851i
\(490\) 17.5717 0.183662i 0.793806 0.00829699i
\(491\) −8.29760 9.88870i −0.374466 0.446271i 0.545594 0.838050i \(-0.316304\pi\)
−0.920059 + 0.391779i \(0.871860\pi\)
\(492\) −2.97600 5.48242i −0.134168 0.247167i
\(493\) −8.44854 + 8.44854i −0.380503 + 0.380503i
\(494\) −0.698219 0.258242i −0.0314144 0.0116189i
\(495\) 36.9874 + 19.1828i 1.66246 + 0.862204i
\(496\) −0.345455 1.95917i −0.0155114 0.0879695i
\(497\) −1.52518 + 17.4329i −0.0684139 + 0.781974i
\(498\) −16.6419 + 13.2349i −0.745743 + 0.593068i
\(499\) −3.49017 + 9.58915i −0.156241 + 0.429269i −0.992973 0.118344i \(-0.962241\pi\)
0.836731 + 0.547614i \(0.184464\pi\)
\(500\) 6.69675 + 8.95285i 0.299488 + 0.400384i
\(501\) 2.27472 + 3.43748i 0.101627 + 0.153575i
\(502\) −0.821668 + 3.06651i −0.0366728 + 0.136865i
\(503\) 24.5517 17.1913i 1.09471 0.766523i 0.120621 0.992699i \(-0.461511\pi\)
0.974086 + 0.226176i \(0.0726224\pi\)
\(504\) −10.3047 + 5.24792i −0.459010 + 0.233761i
\(505\) 8.42456 12.3032i 0.374888 0.547486i
\(506\) −39.7448 22.9467i −1.76687 1.02010i
\(507\) 8.23597 20.9021i 0.365772 0.928293i
\(508\) −7.77228 + 3.62427i −0.344839 + 0.160801i
\(509\) 5.22986 1.90351i 0.231809 0.0843718i −0.223504 0.974703i \(-0.571749\pi\)
0.455313 + 0.890331i \(0.349527\pi\)
\(510\) −6.95693 0.719777i −0.308058 0.0318723i
\(511\) −10.0316 56.8922i −0.443773 2.51676i
\(512\) 0.707107 0.707107i 0.0312500 0.0312500i
\(513\) −22.5568 + 2.04705i −0.995907 + 0.0903793i
\(514\) 30.5631i 1.34808i
\(515\) 14.2184 + 2.35413i 0.626536 + 0.103735i
\(516\) −9.04894 + 2.17150i −0.398357 + 0.0955949i
\(517\) 18.3946 + 8.57752i 0.808992 + 0.377239i
\(518\) 12.9044 + 27.6735i 0.566986 + 1.21590i
\(519\) −0.759972 1.74830i −0.0333591 0.0767416i
\(520\) −0.0293061 + 0.380766i −0.00128516 + 0.0166977i
\(521\) 1.21902 0.703804i 0.0534064 0.0308342i −0.473059 0.881031i \(-0.656850\pi\)
0.526465 + 0.850197i \(0.323517\pi\)
\(522\) 18.8761 + 6.13740i 0.826183 + 0.268627i
\(523\) 23.0683 + 32.9449i 1.00870 + 1.44058i 0.894471 + 0.447126i \(0.147552\pi\)
0.114234 + 0.993454i \(0.463559\pi\)
\(524\) −0.304912 0.528124i −0.0133202 0.0230712i
\(525\) 3.08826 33.2395i 0.134783 1.45069i
\(526\) 1.56123 + 1.31003i 0.0680730 + 0.0571201i
\(527\) −3.25598 + 1.51829i −0.141833 + 0.0661377i
\(528\) 6.69623 + 8.42004i 0.291416 + 0.366435i
\(529\) 20.3086 + 24.2029i 0.882983 + 1.05230i
\(530\) 8.18191 + 11.4289i 0.355400 + 0.496438i
\(531\) −3.86634 + 2.91228i −0.167785 + 0.126382i
\(532\) 11.8192 + 11.9425i 0.512426 + 0.517772i
\(533\) 0.434941 + 0.434941i 0.0188394 + 0.0188394i
\(534\) −10.4626 3.10031i −0.452762 0.134164i
\(535\) −3.48540 9.27332i −0.150687 0.400921i
\(536\) 2.92486 + 8.03598i 0.126335 + 0.347102i
\(537\) 23.3283 + 0.613217i 1.00669 + 0.0264623i
\(538\) 22.9379 2.00681i 0.988923 0.0865195i
\(539\) −24.4060 + 42.2724i −1.05124 + 1.82080i
\(540\) 4.17930 + 10.8413i 0.179849 + 0.466535i
\(541\) −3.87507 + 21.9766i −0.166602 + 0.944849i 0.780794 + 0.624788i \(0.214815\pi\)
−0.947397 + 0.320061i \(0.896296\pi\)
\(542\) 4.20836 + 6.01016i 0.180765 + 0.258158i
\(543\) 10.4132 + 9.21466i 0.446872 + 0.395439i
\(544\) −1.56392 0.902931i −0.0670526 0.0387128i
\(545\) −7.94246 + 30.9312i −0.340218 + 1.32495i
\(546\) 0.827201 0.784827i 0.0354009 0.0335875i
\(547\) −1.75433 0.818057i −0.0750097 0.0349776i 0.384751 0.923020i \(-0.374287\pi\)
−0.459761 + 0.888043i \(0.652065\pi\)
\(548\) 5.46846 + 0.478428i 0.233601 + 0.0204374i
\(549\) 14.9775 + 13.9724i 0.639225 + 0.596327i
\(550\) −30.8744 + 3.35278i −1.31649 + 0.142963i
\(551\) 0.149655 28.8392i 0.00637550 1.22859i
\(552\) −4.05958 12.1369i −0.172787 0.516579i
\(553\) −8.44017 5.90987i −0.358912 0.251313i
\(554\) 16.9198 14.1974i 0.718853 0.603190i
\(555\) 28.9915 10.0353i 1.23062 0.425974i
\(556\) 15.0901 + 5.49234i 0.639962 + 0.232927i
\(557\) 5.55741 0.486210i 0.235475 0.0206014i 0.0311926 0.999513i \(-0.490069\pi\)
0.204282 + 0.978912i \(0.434514\pi\)
\(558\) 4.70226 + 3.67533i 0.199063 + 0.155589i
\(559\) 0.794661 0.458798i 0.0336106 0.0194051i
\(560\) 4.23143 7.50923i 0.178811 0.317323i
\(561\) 11.5576 15.6159i 0.487961 0.659303i
\(562\) −1.45734 + 5.43886i −0.0614741 + 0.229424i
\(563\) 21.7669 5.83241i 0.917364 0.245807i 0.230906 0.972976i \(-0.425831\pi\)
0.686458 + 0.727169i \(0.259164\pi\)
\(564\) 2.25631 + 5.19058i 0.0950078 + 0.218563i
\(565\) 24.3889 + 20.0341i 1.02605 + 0.842842i
\(566\) −2.21000 6.07192i −0.0928931 0.255222i
\(567\) 12.4456 32.3831i 0.522667 1.35996i
\(568\) 3.71878 + 2.60392i 0.156036 + 0.109258i
\(569\) −18.7453 −0.785845 −0.392923 0.919571i \(-0.628536\pi\)
−0.392923 + 0.919571i \(0.628536\pi\)
\(570\) 13.1575 10.5773i 0.551108 0.443035i
\(571\) −15.0821 −0.631164 −0.315582 0.948898i \(-0.602200\pi\)
−0.315582 + 0.948898i \(0.602200\pi\)
\(572\) −0.868951 0.608446i −0.0363327 0.0254404i
\(573\) −12.9977 7.96680i −0.542987 0.332818i
\(574\) −4.74823 13.0457i −0.198187 0.544515i
\(575\) 35.8773 + 8.81385i 1.49619 + 0.367563i
\(576\) −0.157609 + 2.99586i −0.00656705 + 0.124827i
\(577\) 23.1689 6.20810i 0.964536 0.258447i 0.258017 0.966140i \(-0.416931\pi\)
0.706519 + 0.707694i \(0.250264\pi\)
\(578\) 3.55588 13.2707i 0.147905 0.551989i
\(579\) −25.1294 18.5987i −1.04434 0.772936i
\(580\) −14.2495 + 3.97822i −0.591678 + 0.165187i
\(581\) −40.9812 + 23.6605i −1.70019 + 0.981604i
\(582\) 4.85559 23.8537i 0.201271 0.988769i
\(583\) −38.8943 + 3.40281i −1.61084 + 0.140930i
\(584\) −14.0830 5.12581i −0.582761 0.212108i
\(585\) −0.698829 0.907863i −0.0288930 0.0375355i
\(586\) 9.90935 8.31493i 0.409351 0.343487i
\(587\) 11.4462 + 8.01473i 0.472436 + 0.330803i 0.785429 0.618952i \(-0.212443\pi\)
−0.312993 + 0.949756i \(0.601332\pi\)
\(588\) −12.9087 + 4.31776i −0.532347 + 0.178061i
\(589\) 3.00810 8.13312i 0.123947 0.335119i
\(590\) 1.19846 3.40299i 0.0493397 0.140099i
\(591\) 6.86308 + 2.03369i 0.282309 + 0.0836547i
\(592\) 7.89119 + 0.690389i 0.324326 + 0.0283748i
\(593\) 3.81631 + 1.77958i 0.156717 + 0.0730784i 0.499394 0.866375i \(-0.333556\pi\)
−0.342677 + 0.939453i \(0.611334\pi\)
\(594\) −31.8301 5.33638i −1.30600 0.218954i
\(595\) −15.0763 3.87126i −0.618068 0.158706i
\(596\) −11.3868 6.57417i −0.466422 0.269289i
\(597\) 11.5948 13.1029i 0.474545 0.536267i
\(598\) 0.723806 + 1.03370i 0.0295986 + 0.0422712i
\(599\) 2.85741 16.2052i 0.116751 0.662126i −0.869118 0.494605i \(-0.835313\pi\)
0.985869 0.167521i \(-0.0535762\pi\)
\(600\) −7.06725 5.00539i −0.288519 0.204344i
\(601\) 0.487378 0.844164i 0.0198806 0.0344342i −0.855914 0.517118i \(-0.827005\pi\)
0.875795 + 0.482684i \(0.160338\pi\)
\(602\) −20.6315 + 1.80502i −0.840875 + 0.0735671i
\(603\) −22.6497 12.0489i −0.922368 0.490670i
\(604\) −2.24721 6.17415i −0.0914375 0.251223i
\(605\) 25.4765 56.1597i 1.03577 2.28322i
\(606\) −3.28153 + 11.0742i −0.133303 + 0.449857i
\(607\) 22.7741 + 22.7741i 0.924373 + 0.924373i 0.997335 0.0729620i \(-0.0232452\pi\)
−0.0729620 + 0.997335i \(0.523245\pi\)
\(608\) 4.21617 1.10630i 0.170988 0.0448665i
\(609\) 39.5306 + 19.7142i 1.60186 + 0.798858i
\(610\) −15.0621 2.49383i −0.609846 0.100972i
\(611\) −0.358726 0.427513i −0.0145125 0.0172953i
\(612\) 5.29942 1.12532i 0.214216 0.0454882i
\(613\) 9.18896 4.28488i 0.371139 0.173065i −0.228095 0.973639i \(-0.573250\pi\)
0.599234 + 0.800574i \(0.295472\pi\)
\(614\) 20.0401 + 16.8157i 0.808753 + 0.678625i
\(615\) −13.5289 + 3.39649i −0.545538 + 0.136960i
\(616\) 11.9711 + 20.7346i 0.482331 + 0.835421i
\(617\) 11.4266 + 16.3189i 0.460019 + 0.656976i 0.980413 0.196950i \(-0.0631038\pi\)
−0.520394 + 0.853926i \(0.674215\pi\)
\(618\) −11.0410 + 1.64895i −0.444133 + 0.0663306i
\(619\) −2.50509 + 1.44631i −0.100688 + 0.0581322i −0.549498 0.835495i \(-0.685181\pi\)
0.448810 + 0.893627i \(0.351848\pi\)
\(620\) −4.43531 0.341369i −0.178126 0.0137097i
\(621\) 33.4102 + 18.9159i 1.34071 + 0.759068i
\(622\) −4.48822 9.62501i −0.179961 0.385928i
\(623\) −22.0101 10.2635i −0.881816 0.411197i
\(624\) −0.0690272 0.287646i −0.00276330 0.0115151i
\(625\) 23.1144 9.52489i 0.924577 0.380996i
\(626\) 32.7474i 1.30885i
\(627\) 6.68587 + 46.4144i 0.267008 + 1.85361i
\(628\) 6.19161 6.19161i 0.247072 0.247072i
\(629\) −2.48401 14.0875i −0.0990438 0.561705i
\(630\) 5.63520 + 25.2366i 0.224512 + 1.00545i
\(631\) −30.4987 + 11.1006i −1.21414 + 0.441909i −0.868137 0.496325i \(-0.834682\pi\)
−0.345999 + 0.938235i \(0.612460\pi\)
\(632\) −2.42254 + 1.12965i −0.0963636 + 0.0449351i
\(633\) −4.26237 1.67948i −0.169414 0.0667535i
\(634\) −16.2899 9.40497i −0.646954 0.373519i
\(635\) 3.52707 + 18.8488i 0.139967 + 0.747993i
\(636\) −8.75134 6.47701i −0.347013 0.256830i
\(637\) 1.09944 0.769837i 0.0435615 0.0305021i
\(638\) 10.6361 39.6946i 0.421088 1.57152i
\(639\) −13.5182 + 1.65707i −0.534771 + 0.0655527i
\(640\) −1.13821 1.92470i −0.0449918 0.0760805i
\(641\) −10.0191 + 27.5272i −0.395729 + 1.08726i 0.568614 + 0.822604i \(0.307480\pi\)
−0.964344 + 0.264653i \(0.914743\pi\)
\(642\) 4.77638 + 6.00597i 0.188509 + 0.237037i
\(643\) −1.93270 + 22.0909i −0.0762183 + 0.871179i 0.857807 + 0.513972i \(0.171827\pi\)
−0.934025 + 0.357207i \(0.883729\pi\)
\(644\) −4.94579 28.0490i −0.194891 1.10528i
\(645\) −0.329354 + 20.8059i −0.0129683 + 0.819231i
\(646\) −3.90036 6.83731i −0.153457 0.269010i
\(647\) −12.6179 + 12.6179i −0.496060 + 0.496060i −0.910209 0.414149i \(-0.864079\pi\)
0.414149 + 0.910209i \(0.364079\pi\)
\(648\) −5.66107 6.99659i −0.222388 0.274852i
\(649\) 6.44179 + 7.67702i 0.252862 + 0.301350i
\(650\) 0.808368 + 0.275228i 0.0317068 + 0.0107953i
\(651\) 9.14195 + 9.63555i 0.358301 + 0.377647i
\(652\) −1.56309 17.8662i −0.0612152 0.699693i
\(653\) 32.5066 8.71012i 1.27208 0.340853i 0.441253 0.897383i \(-0.354534\pi\)
0.830828 + 0.556529i \(0.187867\pi\)
\(654\) −1.50765 24.6905i −0.0589538 0.965476i
\(655\) −1.31339 + 0.366675i −0.0513182 + 0.0143272i
\(656\) −3.54684 0.625403i −0.138481 0.0244179i
\(657\) 41.6901 16.8342i 1.62649 0.656763i
\(658\) 3.26006 + 12.1667i 0.127090 + 0.474308i
\(659\) −21.8138 18.3040i −0.849746 0.713021i 0.109988 0.993933i \(-0.464919\pi\)
−0.959734 + 0.280912i \(0.909363\pi\)
\(660\) 21.9602 9.82008i 0.854798 0.382246i
\(661\) 26.6217 9.68952i 1.03547 0.376878i 0.232306 0.972643i \(-0.425373\pi\)
0.803159 + 0.595764i \(0.203151\pi\)
\(662\) −1.18313 + 13.5232i −0.0459837 + 0.525596i
\(663\) −0.469487 + 0.254850i −0.0182334 + 0.00989754i
\(664\) 12.2762i 0.476409i
\(665\) 32.4381 18.9565i 1.25790 0.735100i
\(666\) −18.9816 + 14.2977i −0.735524 + 0.554025i
\(667\) −28.0400 + 40.0453i −1.08571 + 1.55056i
\(668\) 2.37077 + 0.207415i 0.0917277 + 0.00802513i
\(669\) −4.58718 + 40.2253i −0.177351 + 1.55520i
\(670\) 19.0310 1.86562i 0.735231 0.0720751i
\(671\) 27.2593 32.4864i 1.05233 1.25412i
\(672\) −1.33174 + 6.54237i −0.0513731 + 0.252377i
\(673\) 23.2580 + 6.23196i 0.896530 + 0.240224i 0.677525 0.735499i \(-0.263052\pi\)
0.219004 + 0.975724i \(0.429719\pi\)
\(674\) −3.14099 + 17.8135i −0.120986 + 0.686149i
\(675\) 25.8044 3.02238i 0.993210 0.116332i
\(676\) −6.48542 11.2331i −0.249439 0.432041i
\(677\) 5.04743 + 18.8373i 0.193989 + 0.723975i 0.992526 + 0.122030i \(0.0389406\pi\)
−0.798538 + 0.601945i \(0.794393\pi\)
\(678\) −22.7461 8.96256i −0.873558 0.344205i
\(679\) 18.5291 50.9083i 0.711081 1.95368i
\(680\) −2.82532 + 2.88500i −0.108346 + 0.110635i
\(681\) −5.87833 24.4958i −0.225258 0.938683i
\(682\) 7.08741 10.1219i 0.271391 0.387586i
\(683\) −6.67662 6.67662i −0.255474 0.255474i 0.567737 0.823210i \(-0.307819\pi\)
−0.823210 + 0.567737i \(0.807819\pi\)
\(684\) −7.18109 + 10.9285i −0.274576 + 0.417861i
\(685\) 4.07737 11.5776i 0.155788 0.442356i
\(686\) −3.25979 + 0.574789i −0.124459 + 0.0219455i
\(687\) 1.30717 + 0.801215i 0.0498716 + 0.0305683i
\(688\) −2.27061 + 4.86935i −0.0865664 + 0.185642i
\(689\) 1.00881 + 0.367177i 0.0384326 + 0.0139883i
\(690\) −28.5438 + 2.04258i −1.08664 + 0.0777598i
\(691\) 10.0500 17.4071i 0.382319 0.662196i −0.609074 0.793113i \(-0.708459\pi\)
0.991393 + 0.130917i \(0.0417921\pi\)
\(692\) −1.06312 0.284861i −0.0404137 0.0108288i
\(693\) −68.3069 22.2094i −2.59476 0.843666i
\(694\) −9.07383 1.59996i −0.344438 0.0607337i
\(695\) 20.2874 29.6277i 0.769545 1.12384i
\(696\) 9.55671 6.32407i 0.362246 0.239713i
\(697\) 0.566852 + 6.47915i 0.0214711 + 0.245415i
\(698\) −3.45735 7.41431i −0.130863 0.280636i
\(699\) 23.5905 + 2.69020i 0.892274 + 0.101753i
\(700\) −13.9103 13.3406i −0.525760 0.504227i
\(701\) −8.57744 + 1.51243i −0.323965 + 0.0571238i −0.333266 0.942833i \(-0.608151\pi\)
0.00930044 + 0.999957i \(0.497040\pi\)
\(702\) 0.731210 + 0.502871i 0.0275977 + 0.0189796i
\(703\) 28.1808 + 19.9511i 1.06286 + 0.752470i
\(704\) 6.21119 0.234093
\(705\) 12.4966 2.00009i 0.470649 0.0753276i
\(706\) −3.71133 + 3.11418i −0.139678 + 0.117204i
\(707\) −10.8634 + 23.2966i −0.408559 + 0.876159i
\(708\) −0.0734354 + 2.79367i −0.00275987 + 0.104992i
\(709\) 28.0795 33.4638i 1.05455 1.25676i 0.0891384 0.996019i \(-0.471589\pi\)
0.965409 0.260741i \(-0.0839669\pi\)
\(710\) 7.70771 6.60603i 0.289265 0.247920i
\(711\) 3.13473 7.38085i 0.117562 0.276803i
\(712\) −5.16084 + 3.61366i −0.193411 + 0.135428i
\(713\) −12.0410 + 8.43117i −0.450937 + 0.315750i
\(714\) 12.0345 0.734848i 0.450379 0.0275010i
\(715\) −1.80103 + 1.54360i −0.0673546 + 0.0577275i
\(716\) 8.66045 10.3211i 0.323656 0.385718i
\(717\) −37.9918 0.998667i −1.41883 0.0372959i
\(718\) −4.45007 + 9.54321i −0.166075 + 0.356150i
\(719\) 4.23694 3.55521i 0.158011 0.132587i −0.560354 0.828253i \(-0.689335\pi\)
0.718365 + 0.695666i \(0.244891\pi\)
\(720\) 6.40080 + 2.00744i 0.238544 + 0.0748129i
\(721\) −24.8444 −0.925252
\(722\) 18.3006 + 5.10777i 0.681077 + 0.190091i
\(723\) 10.9859 3.67460i 0.408569 0.136660i
\(724\) 7.90599 1.39404i 0.293824 0.0518091i
\(725\) 0.691466 + 33.0741i 0.0256804 + 1.22834i
\(726\) −5.41225 + 47.4604i −0.200868 + 1.76142i
\(727\) −2.34550 5.02995i −0.0869899 0.186551i 0.858000 0.513649i \(-0.171707\pi\)
−0.944990 + 0.327099i \(0.893929\pi\)
\(728\) −0.0573777 0.655830i −0.00212656 0.0243067i
\(729\) 26.6650 + 4.23979i 0.987594 + 0.157029i
\(730\) −18.9335 + 27.6505i −0.700762 + 1.02339i
\(731\) 9.55500 + 1.68481i 0.353405 + 0.0623148i
\(732\) 11.6962 1.74680i 0.432302 0.0645637i
\(733\) −24.4994 6.56460i −0.904907 0.242469i −0.223784 0.974639i \(-0.571841\pi\)
−0.681122 + 0.732170i \(0.738508\pi\)
\(734\) −0.226827 + 0.392876i −0.00837234 + 0.0145013i
\(735\) 2.17248 + 30.3590i 0.0801332 + 1.11981i
\(736\) −6.94321 2.52712i −0.255930 0.0931510i
\(737\) −22.4479 + 48.1397i −0.826880 + 1.77325i
\(738\) 9.16401 5.72375i 0.337332 0.210694i
\(739\) −22.1066 + 3.89798i −0.813203 + 0.143390i −0.564758 0.825257i \(-0.691030\pi\)
−0.248445 + 0.968646i \(0.579919\pi\)
\(740\) 5.88379 16.7068i 0.216292 0.614156i
\(741\) 0.372749 1.23436i 0.0136933 0.0453455i
\(742\) −17.1334 17.1334i −0.628986 0.628986i
\(743\) −12.9019 + 18.4258i −0.473323 + 0.675976i −0.982835 0.184488i \(-0.940937\pi\)
0.509511 + 0.860464i \(0.329826\pi\)
\(744\) 3.35061 0.804055i 0.122839 0.0294781i
\(745\) −20.5709 + 21.0055i −0.753661 + 0.769582i
\(746\) −1.79114 + 4.92113i −0.0655784 + 0.180175i
\(747\) −24.6376 27.3739i −0.901444 1.00156i
\(748\) −2.90306 10.8343i −0.106146 0.396143i
\(749\) 8.53894 + 14.7899i 0.312006 + 0.540411i
\(750\) −14.7710 + 12.5227i −0.539362 + 0.457263i
\(751\) 1.71747 9.74024i 0.0626713 0.355426i −0.937305 0.348511i \(-0.886688\pi\)
0.999976 0.00691575i \(-0.00220137\pi\)
\(752\) 3.15633 + 0.845737i 0.115100 + 0.0308408i
\(753\) −5.38821 1.09681i −0.196357 0.0399699i
\(754\) −0.726334 + 0.865611i −0.0264515 + 0.0315237i
\(755\) −14.6218 + 1.43338i −0.532140 + 0.0521659i
\(756\) −10.1606 17.2612i −0.369537 0.627782i
\(757\) −26.5566 2.32341i −0.965218 0.0844456i −0.406364 0.913711i \(-0.633203\pi\)
−0.558854 + 0.829266i \(0.688759\pi\)
\(758\) −20.1785 + 28.8179i −0.732916 + 1.04671i
\(759\) 35.4752 71.1344i 1.28767 2.58201i
\(760\) −0.0512928 9.74666i −0.00186059 0.353548i
\(761\) 22.9301i 0.831215i 0.909544 + 0.415607i \(0.136431\pi\)
−0.909544 + 0.415607i \(0.863569\pi\)
\(762\) −7.08624 13.0544i −0.256708 0.472910i
\(763\) 4.79804 54.8419i 0.173701 1.98541i
\(764\) −8.27091 + 3.01036i −0.299231 + 0.108911i
\(765\) 0.509959 12.1033i 0.0184376 0.437597i
\(766\) −10.9705 9.20533i −0.396380 0.332602i
\(767\) −0.0713209 0.266173i −0.00257525 0.00961095i
\(768\) 1.29711 + 1.14782i 0.0468056 + 0.0414185i
\(769\) 30.4540 + 5.36986i 1.09820 + 0.193642i 0.693250 0.720697i \(-0.256178\pi\)
0.404949 + 0.914339i \(0.367289\pi\)
\(770\) 51.5647 14.3960i 1.85826 0.518796i
\(771\) −52.8384 + 3.22641i −1.90293 + 0.116196i
\(772\) −17.4349 + 4.67167i −0.627496 + 0.168137i
\(773\) 3.16066 + 36.1265i 0.113681 + 1.29938i 0.812027 + 0.583620i