Properties

Label 384.2.w.a.11.7
Level $384$
Weight $2$
Character 384.11
Analytic conductor $3.066$
Analytic rank $0$
Dimension $992$
CM no
Inner twists $4$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 11.7
Character \(\chi\) \(=\) 384.11
Dual form 384.2.w.a.35.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.30056 - 0.555477i) q^{2} +(-1.67960 + 0.423001i) q^{3} +(1.38289 + 1.44486i) q^{4} +(3.35351 + 1.79249i) q^{5} +(2.41939 + 0.382846i) q^{6} +(3.20524 + 0.637561i) q^{7} +(-0.995942 - 2.64728i) q^{8} +(2.64214 - 1.42095i) q^{9} +O(q^{10})\) \(q+(-1.30056 - 0.555477i) q^{2} +(-1.67960 + 0.423001i) q^{3} +(1.38289 + 1.44486i) q^{4} +(3.35351 + 1.79249i) q^{5} +(2.41939 + 0.382846i) q^{6} +(3.20524 + 0.637561i) q^{7} +(-0.995942 - 2.64728i) q^{8} +(2.64214 - 1.42095i) q^{9} +(-3.36574 - 4.19402i) q^{10} +(-2.82151 + 2.31556i) q^{11} +(-2.93388 - 1.84183i) q^{12} +(-3.67615 + 1.96494i) q^{13} +(-3.81444 - 2.60962i) q^{14} +(-6.39079 - 1.59213i) q^{15} +(-0.175226 + 3.99616i) q^{16} +(4.87094 - 2.01761i) q^{17} +(-4.22556 + 0.380373i) q^{18} +(1.12265 - 3.70087i) q^{19} +(2.04765 + 7.32415i) q^{20} +(-5.65322 + 0.284966i) q^{21} +(4.95578 - 1.44423i) q^{22} +(-0.487940 - 0.326031i) q^{23} +(2.79259 + 4.02510i) q^{24} +(5.25514 + 7.86488i) q^{25} +(5.87252 - 0.513502i) q^{26} +(-3.83669 + 3.50426i) q^{27} +(3.51131 + 5.51279i) q^{28} +(4.48972 + 3.68462i) q^{29} +(7.42718 + 5.62059i) q^{30} +(-4.98746 + 4.98746i) q^{31} +(2.44767 - 5.09989i) q^{32} +(3.75955 - 5.08272i) q^{33} +(-7.45566 - 0.0816812i) q^{34} +(9.60596 + 7.88340i) q^{35} +(5.70686 + 1.85250i) q^{36} +(-2.84407 - 9.37564i) q^{37} +(-3.51582 + 4.18959i) q^{38} +(5.34331 - 4.85534i) q^{39} +(1.40532 - 10.6629i) q^{40} +(6.15597 + 4.11328i) q^{41} +(7.51061 + 2.76962i) q^{42} +(0.0174813 - 0.177490i) q^{43} +(-7.24750 - 0.874524i) q^{44} +(11.4075 - 0.0291535i) q^{45} +(0.453491 + 0.695061i) q^{46} +(-0.894161 + 0.370374i) q^{47} +(-1.39607 - 6.78609i) q^{48} +(3.39989 + 1.40828i) q^{49} +(-2.46585 - 13.1478i) q^{50} +(-7.32780 + 5.44919i) q^{51} +(-7.92278 - 2.59421i) q^{52} +(-4.98061 + 4.08748i) q^{53} +(6.93636 - 2.42629i) q^{54} +(-13.6126 + 2.70771i) q^{55} +(-1.50442 - 9.12013i) q^{56} +(-0.320132 + 6.69088i) q^{57} +(-3.79241 - 7.28599i) q^{58} +(0.788713 + 0.421576i) q^{59} +(-6.53735 - 11.4355i) q^{60} +(1.36327 + 13.8415i) q^{61} +(9.25689 - 3.71605i) q^{62} +(9.37462 - 2.86994i) q^{63} +(-6.01620 + 5.27308i) q^{64} -15.8501 q^{65} +(-7.71283 + 4.52202i) q^{66} +(5.73750 - 0.565095i) q^{67} +(9.65113 + 4.24768i) q^{68} +(0.957458 + 0.341204i) q^{69} +(-8.11403 - 15.5887i) q^{70} +(3.74945 + 0.745811i) q^{71} +(-6.39307 - 5.57931i) q^{72} +(-1.19599 - 6.01265i) q^{73} +(-1.50908 + 13.7734i) q^{74} +(-12.1534 - 10.9870i) q^{75} +(6.89973 - 3.49584i) q^{76} +(-10.5199 + 5.62302i) q^{77} +(-9.64630 + 3.34656i) q^{78} +(0.130220 - 0.314379i) q^{79} +(-7.75069 + 13.0871i) q^{80} +(4.96182 - 7.50869i) q^{81} +(-5.72134 - 8.76905i) q^{82} +(1.53990 - 5.07636i) q^{83} +(-8.22952 - 7.77401i) q^{84} +(19.9512 + 1.96503i) q^{85} +(-0.121327 + 0.221126i) q^{86} +(-9.09955 - 4.28955i) q^{87} +(8.94000 + 5.16318i) q^{88} +(-2.05646 - 3.07771i) q^{89} +(-14.8522 - 6.29867i) q^{90} +(-13.0357 + 3.95434i) q^{91} +(-0.203699 - 1.15587i) q^{92} +(6.26726 - 10.4867i) q^{93} +(1.36864 + 0.0149943i) q^{94} +(10.3986 - 10.3986i) q^{95} +(-1.95385 + 9.60117i) q^{96} +(-2.84725 - 2.84725i) q^{97} +(-3.63948 - 3.72011i) q^{98} +(-4.16456 + 10.1273i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} + O(q^{10}) \) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} - 32q^{10} - 16q^{12} - 32q^{13} - 16q^{15} - 32q^{16} - 16q^{18} - 32q^{19} - 16q^{21} - 32q^{22} - 16q^{24} - 32q^{25} - 16q^{27} - 32q^{28} - 16q^{30} - 32q^{31} - 16q^{33} - 32q^{34} - 16q^{36} - 32q^{37} - 16q^{39} - 32q^{40} - 16q^{42} - 32q^{43} - 16q^{45} - 32q^{46} - 16q^{48} - 32q^{49} - 16q^{51} - 128q^{52} - 16q^{54} - 32q^{55} - 16q^{57} - 320q^{58} - 16q^{60} - 32q^{61} - 32q^{63} - 224q^{64} - 16q^{66} - 32q^{67} - 16q^{69} - 224q^{70} - 16q^{72} - 32q^{73} - 16q^{75} - 256q^{76} - 16q^{78} - 32q^{79} - 16q^{81} - 32q^{82} - 16q^{84} - 32q^{85} - 16q^{87} - 32q^{88} - 16q^{90} - 32q^{91} - 16q^{93} - 32q^{94} - 16q^{96} - 32q^{97} - 16q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.30056 0.555477i −0.919632 0.392782i
\(3\) −1.67960 + 0.423001i −0.969720 + 0.244220i
\(4\) 1.38289 + 1.44486i 0.691445 + 0.722429i
\(5\) 3.35351 + 1.79249i 1.49973 + 0.801624i 0.997989 0.0633915i \(-0.0201917\pi\)
0.501745 + 0.865016i \(0.332692\pi\)
\(6\) 2.41939 + 0.382846i 0.987710 + 0.156296i
\(7\) 3.20524 + 0.637561i 1.21147 + 0.240975i 0.759170 0.650893i \(-0.225605\pi\)
0.452295 + 0.891868i \(0.350605\pi\)
\(8\) −0.995942 2.64728i −0.352118 0.935955i
\(9\) 2.64214 1.42095i 0.880714 0.473649i
\(10\) −3.36574 4.19402i −1.06434 1.32627i
\(11\) −2.82151 + 2.31556i −0.850719 + 0.698167i −0.955072 0.296373i \(-0.904223\pi\)
0.104353 + 0.994540i \(0.466723\pi\)
\(12\) −2.93388 1.84183i −0.846940 0.531689i
\(13\) −3.67615 + 1.96494i −1.01958 + 0.544977i −0.894452 0.447163i \(-0.852434\pi\)
−0.125128 + 0.992141i \(0.539934\pi\)
\(14\) −3.81444 2.60962i −1.01945 0.697450i
\(15\) −6.39079 1.59213i −1.65009 0.411087i
\(16\) −0.175226 + 3.99616i −0.0438066 + 0.999040i
\(17\) 4.87094 2.01761i 1.18138 0.489342i 0.296438 0.955052i \(-0.404201\pi\)
0.884937 + 0.465710i \(0.154201\pi\)
\(18\) −4.22556 + 0.380373i −0.995973 + 0.0896547i
\(19\) 1.12265 3.70087i 0.257553 0.849039i −0.728847 0.684677i \(-0.759943\pi\)
0.986400 0.164362i \(-0.0525565\pi\)
\(20\) 2.04765 + 7.32415i 0.457867 + 1.63773i
\(21\) −5.65322 + 0.284966i −1.23363 + 0.0621848i
\(22\) 4.95578 1.44423i 1.05658 0.307910i
\(23\) −0.487940 0.326031i −0.101743 0.0679822i 0.503658 0.863903i \(-0.331987\pi\)
−0.605401 + 0.795921i \(0.706987\pi\)
\(24\) 2.79259 + 4.02510i 0.570035 + 0.821620i
\(25\) 5.25514 + 7.86488i 1.05103 + 1.57298i
\(26\) 5.87252 0.513502i 1.15170 0.100706i
\(27\) −3.83669 + 3.50426i −0.738371 + 0.674394i
\(28\) 3.51131 + 5.51279i 0.663574 + 1.04182i
\(29\) 4.48972 + 3.68462i 0.833720 + 0.684217i 0.951104 0.308870i \(-0.0999508\pi\)
−0.117384 + 0.993087i \(0.537451\pi\)
\(30\) 7.42718 + 5.62059i 1.35601 + 1.02617i
\(31\) −4.98746 + 4.98746i −0.895774 + 0.895774i −0.995059 0.0992850i \(-0.968344\pi\)
0.0992850 + 0.995059i \(0.468344\pi\)
\(32\) 2.44767 5.09989i 0.432690 0.901543i
\(33\) 3.75955 5.08272i 0.654453 0.884788i
\(34\) −7.45566 0.0816812i −1.27863 0.0140082i
\(35\) 9.60596 + 7.88340i 1.62370 + 1.33254i
\(36\) 5.70686 + 1.85250i 0.951143 + 0.308750i
\(37\) −2.84407 9.37564i −0.467562 1.54135i −0.801054 0.598592i \(-0.795727\pi\)
0.333492 0.942753i \(-0.391773\pi\)
\(38\) −3.51582 + 4.18959i −0.570341 + 0.679641i
\(39\) 5.34331 4.85534i 0.855614 0.777477i
\(40\) 1.40532 10.6629i 0.222201 1.68595i
\(41\) 6.15597 + 4.11328i 0.961400 + 0.642387i 0.934013 0.357238i \(-0.116281\pi\)
0.0273868 + 0.999625i \(0.491281\pi\)
\(42\) 7.51061 + 2.76962i 1.15891 + 0.427361i
\(43\) 0.0174813 0.177490i 0.00266587 0.0270670i −0.993760 0.111542i \(-0.964421\pi\)
0.996426 + 0.0844746i \(0.0269212\pi\)
\(44\) −7.24750 0.874524i −1.09260 0.131839i
\(45\) 11.4075 0.0291535i 1.70052 0.00434595i
\(46\) 0.453491 + 0.695061i 0.0668636 + 0.102481i
\(47\) −0.894161 + 0.370374i −0.130427 + 0.0540246i −0.446942 0.894563i \(-0.647487\pi\)
0.316515 + 0.948587i \(0.397487\pi\)
\(48\) −1.39607 6.78609i −0.201505 0.979488i
\(49\) 3.39989 + 1.40828i 0.485699 + 0.201183i
\(50\) −2.46585 13.1478i −0.348724 1.85938i
\(51\) −7.32780 + 5.44919i −1.02610 + 0.763039i
\(52\) −7.92278 2.59421i −1.09869 0.359752i
\(53\) −4.98061 + 4.08748i −0.684139 + 0.561459i −0.910968 0.412476i \(-0.864664\pi\)
0.226829 + 0.973935i \(0.427164\pi\)
\(54\) 6.93636 2.42629i 0.943919 0.330176i
\(55\) −13.6126 + 2.70771i −1.83552 + 0.365107i
\(56\) −1.50442 9.12013i −0.201037 1.21873i
\(57\) −0.320132 + 6.69088i −0.0424025 + 0.886229i
\(58\) −3.79241 7.28599i −0.497968 0.956697i
\(59\) 0.788713 + 0.421576i 0.102682 + 0.0548845i 0.521938 0.852983i \(-0.325209\pi\)
−0.419256 + 0.907868i \(0.637709\pi\)
\(60\) −6.53735 11.4355i −0.843969 1.47632i
\(61\) 1.36327 + 13.8415i 0.174549 + 1.77222i 0.540265 + 0.841495i \(0.318324\pi\)
−0.365717 + 0.930726i \(0.619176\pi\)
\(62\) 9.25689 3.71605i 1.17563 0.471939i
\(63\) 9.37462 2.86994i 1.18109 0.361579i
\(64\) −6.01620 + 5.27308i −0.752025 + 0.659134i
\(65\) −15.8501 −1.96597
\(66\) −7.71283 + 4.52202i −0.949384 + 0.556623i
\(67\) 5.73750 0.565095i 0.700947 0.0690373i 0.258736 0.965948i \(-0.416694\pi\)
0.442212 + 0.896911i \(0.354194\pi\)
\(68\) 9.65113 + 4.24768i 1.17037 + 0.515107i
\(69\) 0.957458 + 0.341204i 0.115264 + 0.0410762i
\(70\) −8.11403 15.5887i −0.969812 1.86321i
\(71\) 3.74945 + 0.745811i 0.444977 + 0.0885115i 0.412493 0.910961i \(-0.364658\pi\)
0.0324843 + 0.999472i \(0.489658\pi\)
\(72\) −6.39307 5.57931i −0.753430 0.657528i
\(73\) −1.19599 6.01265i −0.139980 0.703727i −0.985485 0.169760i \(-0.945701\pi\)
0.845505 0.533967i \(-0.179299\pi\)
\(74\) −1.50908 + 13.7734i −0.175427 + 1.60112i
\(75\) −12.1534 10.9870i −1.40336 1.26866i
\(76\) 6.89973 3.49584i 0.791454 0.401000i
\(77\) −10.5199 + 5.62302i −1.19886 + 0.640802i
\(78\) −9.64630 + 3.34656i −1.09223 + 0.378923i
\(79\) 0.130220 0.314379i 0.0146509 0.0353704i −0.916385 0.400299i \(-0.868906\pi\)
0.931036 + 0.364928i \(0.118906\pi\)
\(80\) −7.75069 + 13.0871i −0.866553 + 1.46318i
\(81\) 4.96182 7.50869i 0.551313 0.834298i
\(82\) −5.72134 8.76905i −0.631816 0.968380i
\(83\) 1.53990 5.07636i 0.169026 0.557203i −0.830974 0.556311i \(-0.812216\pi\)
1.00000 0.000891572i \(-0.000283796\pi\)
\(84\) −8.22952 7.77401i −0.897914 0.848214i
\(85\) 19.9512 + 1.96503i 2.16402 + 0.213137i
\(86\) −0.121327 + 0.221126i −0.0130830 + 0.0238446i
\(87\) −9.09955 4.28955i −0.975574 0.459888i
\(88\) 8.94000 + 5.16318i 0.953007 + 0.550397i
\(89\) −2.05646 3.07771i −0.217985 0.326237i 0.706320 0.707893i \(-0.250354\pi\)
−0.924305 + 0.381656i \(0.875354\pi\)
\(90\) −14.8522 6.29867i −1.56556 0.663938i
\(91\) −13.0357 + 3.95434i −1.36651 + 0.414527i
\(92\) −0.203699 1.15587i −0.0212371 0.120508i
\(93\) 6.26726 10.4867i 0.649884 1.08742i
\(94\) 1.36864 + 0.0149943i 0.141164 + 0.00154654i
\(95\) 10.3986 10.3986i 1.06687 1.06687i
\(96\) −1.95385 + 9.60117i −0.199414 + 0.979915i
\(97\) −2.84725 2.84725i −0.289094 0.289094i 0.547628 0.836722i \(-0.315531\pi\)
−0.836722 + 0.547628i \(0.815531\pi\)
\(98\) −3.63948 3.72011i −0.367643 0.375788i
\(99\) −4.16456 + 10.1273i −0.418554 + 1.01783i
\(100\) −4.09634 + 18.4692i −0.409634 + 1.84692i
\(101\) −1.88482 6.21343i −0.187547 0.618259i −0.999408 0.0344083i \(-0.989045\pi\)
0.811861 0.583851i \(-0.198455\pi\)
\(102\) 12.5571 3.01656i 1.24334 0.298684i
\(103\) 13.1780 8.80525i 1.29847 0.867607i 0.302141 0.953263i \(-0.402299\pi\)
0.996325 + 0.0856564i \(0.0272987\pi\)
\(104\) 8.86299 + 7.77484i 0.869088 + 0.762385i
\(105\) −19.4689 9.17768i −1.89997 0.895649i
\(106\) 8.74806 2.54938i 0.849687 0.247618i
\(107\) 0.813596 8.26058i 0.0786533 0.798581i −0.872243 0.489072i \(-0.837335\pi\)
0.950897 0.309508i \(-0.100165\pi\)
\(108\) −10.3689 0.697467i −0.997745 0.0671138i
\(109\) −5.39582 1.63680i −0.516826 0.156777i 0.0210874 0.999778i \(-0.493287\pi\)
−0.537913 + 0.843000i \(0.680787\pi\)
\(110\) 19.2080 + 4.03994i 1.83141 + 0.385193i
\(111\) 8.74281 + 14.5443i 0.829831 + 1.38049i
\(112\) −3.10944 + 12.6969i −0.293814 + 1.19975i
\(113\) −11.0481 4.57629i −1.03932 0.430501i −0.203254 0.979126i \(-0.565152\pi\)
−0.836069 + 0.548625i \(0.815152\pi\)
\(114\) 4.13298 8.52404i 0.387089 0.798350i
\(115\) −1.05190 1.96797i −0.0980906 0.183515i
\(116\) 0.885044 + 11.5824i 0.0821743 + 1.07540i
\(117\) −6.92083 + 10.4153i −0.639831 + 0.962892i
\(118\) −0.791590 0.986395i −0.0728717 0.0908050i
\(119\) 16.8988 3.36139i 1.54911 0.308138i
\(120\) 2.15003 + 18.5039i 0.196270 + 1.68917i
\(121\) 0.453146 2.27812i 0.0411951 0.207102i
\(122\) 5.91562 18.7589i 0.535575 1.69835i
\(123\) −12.0795 4.30471i −1.08917 0.388143i
\(124\) −14.1033 0.309057i −1.26651 0.0277541i
\(125\) 1.66192 + 16.8737i 0.148647 + 1.50923i
\(126\) −13.7864 1.47486i −1.22819 0.131391i
\(127\) 6.72172i 0.596456i 0.954495 + 0.298228i \(0.0963955\pi\)
−0.954495 + 0.298228i \(0.903604\pi\)
\(128\) 10.7535 3.51607i 0.950482 0.310779i
\(129\) 0.0457169 + 0.305508i 0.00402515 + 0.0268985i
\(130\) 20.6140 + 8.80438i 1.80797 + 0.772195i
\(131\) −3.53447 + 0.348115i −0.308808 + 0.0304149i −0.251234 0.967926i \(-0.580836\pi\)
−0.0575738 + 0.998341i \(0.518336\pi\)
\(132\) 12.5429 1.59684i 1.09172 0.138987i
\(133\) 5.95788 11.1464i 0.516614 0.966517i
\(134\) −7.77584 2.45211i −0.671730 0.211830i
\(135\) −19.1477 + 4.87433i −1.64797 + 0.419516i
\(136\) −10.1923 10.8853i −0.873986 0.933408i
\(137\) −3.80539 19.1310i −0.325116 1.63447i −0.704838 0.709368i \(-0.748980\pi\)
0.379722 0.925101i \(-0.376020\pi\)
\(138\) −1.05570 0.975601i −0.0898668 0.0830487i
\(139\) 3.01785 + 3.67726i 0.255971 + 0.311901i 0.885101 0.465398i \(-0.154089\pi\)
−0.629130 + 0.777300i \(0.716589\pi\)
\(140\) 1.89359 + 24.7811i 0.160038 + 2.09439i
\(141\) 1.34517 1.00031i 0.113284 0.0842415i
\(142\) −4.46208 3.05270i −0.374450 0.256177i
\(143\) 5.82237 14.0565i 0.486891 1.17546i
\(144\) 5.21536 + 10.8074i 0.434613 + 0.900617i
\(145\) 8.45168 + 20.4042i 0.701874 + 1.69447i
\(146\) −1.78443 + 8.48413i −0.147681 + 0.702151i
\(147\) −6.30618 0.927199i −0.520125 0.0764741i
\(148\) 9.61342 17.0748i 0.790219 1.40354i
\(149\) −3.93350 0.387416i −0.322245 0.0317383i −0.0643983 0.997924i \(-0.520513\pi\)
−0.257846 + 0.966186i \(0.583013\pi\)
\(150\) 9.70319 + 21.0401i 0.792262 + 1.71792i
\(151\) 6.78531 10.1549i 0.552181 0.826397i −0.445442 0.895311i \(-0.646953\pi\)
0.997623 + 0.0689140i \(0.0219534\pi\)
\(152\) −10.9153 + 0.713889i −0.885351 + 0.0579040i
\(153\) 10.0028 12.2521i 0.808677 0.990527i
\(154\) 16.8052 1.46947i 1.35420 0.118413i
\(155\) −25.6654 + 7.78552i −2.06150 + 0.625348i
\(156\) 14.4045 + 1.00591i 1.15328 + 0.0805372i
\(157\) 3.52559 4.29594i 0.281373 0.342854i −0.613076 0.790024i \(-0.710068\pi\)
0.894449 + 0.447170i \(0.147568\pi\)
\(158\) −0.343989 + 0.336533i −0.0273663 + 0.0267731i
\(159\) 6.63644 8.97215i 0.526304 0.711538i
\(160\) 17.3498 12.7151i 1.37162 1.00522i
\(161\) −1.35610 1.35610i −0.106876 0.106876i
\(162\) −10.6240 + 7.00929i −0.834702 + 0.550702i
\(163\) 0.173560 0.211484i 0.0135943 0.0165647i −0.766169 0.642639i \(-0.777839\pi\)
0.779763 + 0.626075i \(0.215339\pi\)
\(164\) 2.56992 + 14.5827i 0.200677 + 1.13872i
\(165\) 21.7184 10.3060i 1.69077 0.802321i
\(166\) −4.82252 + 5.74671i −0.374300 + 0.446031i
\(167\) −14.3412 + 9.58251i −1.10976 + 0.741517i −0.968638 0.248475i \(-0.920071\pi\)
−0.141121 + 0.989992i \(0.545071\pi\)
\(168\) 6.38466 + 14.6818i 0.492587 + 1.13273i
\(169\) 2.43067 3.63775i 0.186974 0.279827i
\(170\) −24.8562 13.6381i −1.90638 1.04599i
\(171\) −2.29255 11.3735i −0.175316 0.869750i
\(172\) 0.280623 0.220192i 0.0213973 0.0167895i
\(173\) 6.35333 + 1.92726i 0.483035 + 0.146527i 0.522405 0.852698i \(-0.325035\pi\)
−0.0393699 + 0.999225i \(0.512535\pi\)
\(174\) 9.45173 + 10.6334i 0.716534 + 0.806115i
\(175\) 11.8296 + 28.5593i 0.894236 + 2.15888i
\(176\) −8.75893 11.6810i −0.660229 0.880486i
\(177\) −1.50305 0.374455i −0.112976 0.0281457i
\(178\) 0.964945 + 5.14505i 0.0723257 + 0.385638i
\(179\) 6.35671 + 11.8926i 0.475123 + 0.888892i 0.999305 + 0.0372856i \(0.0118711\pi\)
−0.524182 + 0.851606i \(0.675629\pi\)
\(180\) 15.8174 + 16.4418i 1.17896 + 1.22550i
\(181\) −4.24795 5.17614i −0.315747 0.384739i 0.590818 0.806805i \(-0.298805\pi\)
−0.906565 + 0.422066i \(0.861305\pi\)
\(182\) 19.1502 + 2.09820i 1.41951 + 0.155529i
\(183\) −8.14471 22.6716i −0.602074 1.67593i
\(184\) −0.377137 + 1.61642i −0.0278029 + 0.119164i
\(185\) 7.26810 36.5392i 0.534361 2.68642i
\(186\) −13.9760 + 10.1572i −1.02477 + 0.744759i
\(187\) −9.07153 + 16.9716i −0.663376 + 1.24109i
\(188\) −1.77166 0.779749i −0.129212 0.0568691i
\(189\) −14.5317 + 8.78584i −1.05702 + 0.639076i
\(190\) −19.3001 + 7.74776i −1.40018 + 0.562081i
\(191\) 14.8972i 1.07792i −0.842331 0.538960i \(-0.818817\pi\)
0.842331 0.538960i \(-0.181183\pi\)
\(192\) 7.87432 11.4015i 0.568280 0.822835i
\(193\) 16.6806i 1.20070i −0.799738 0.600350i \(-0.795028\pi\)
0.799738 0.600350i \(-0.204972\pi\)
\(194\) 2.12142 + 5.28459i 0.152309 + 0.379411i
\(195\) 26.6219 6.70461i 1.90644 0.480127i
\(196\) 2.66691 + 6.85986i 0.190494 + 0.489990i
\(197\) −2.44278 + 4.57012i −0.174041 + 0.325608i −0.953785 0.300491i \(-0.902849\pi\)
0.779744 + 0.626099i \(0.215349\pi\)
\(198\) 11.0417 10.8577i 0.784699 0.771626i
\(199\) 0.670376 3.37021i 0.0475217 0.238908i −0.949723 0.313092i \(-0.898635\pi\)
0.997245 + 0.0741841i \(0.0236352\pi\)
\(200\) 15.5867 21.7448i 1.10215 1.53759i
\(201\) −9.39770 + 3.37610i −0.662863 + 0.238132i
\(202\) −1.00010 + 9.12788i −0.0703667 + 0.642236i
\(203\) 12.0414 + 14.6725i 0.845144 + 1.02981i
\(204\) −18.0068 3.05198i −1.26073 0.213682i
\(205\) 13.2711 + 24.8284i 0.926891 + 1.73409i
\(206\) −22.0298 + 4.13165i −1.53489 + 0.287866i
\(207\) −1.75248 0.168083i −0.121806 0.0116826i
\(208\) −7.20807 15.0348i −0.499790 1.04248i
\(209\) 5.40202 + 13.0416i 0.373665 + 0.902108i
\(210\) 20.2224 + 22.7506i 1.39548 + 1.56994i
\(211\) −9.90724 3.00533i −0.682042 0.206895i −0.0697947 0.997561i \(-0.522234\pi\)
−0.612248 + 0.790666i \(0.709734\pi\)
\(212\) −12.7935 1.54373i −0.878659 0.106024i
\(213\) −6.61306 + 0.333350i −0.453120 + 0.0228408i
\(214\) −5.64669 + 10.2914i −0.386000 + 0.703507i
\(215\) 0.376772 0.563880i 0.0256957 0.0384563i
\(216\) 13.0979 + 6.66676i 0.891197 + 0.453616i
\(217\) −19.1658 + 12.8062i −1.30106 + 0.869339i
\(218\) 6.10836 + 5.12601i 0.413710 + 0.347177i
\(219\) 4.55214 + 9.59296i 0.307605 + 0.648232i
\(220\) −22.7370 15.9238i −1.53293 1.07358i
\(221\) −13.9418 + 16.9881i −0.937827 + 1.14275i
\(222\) −3.29148 23.7721i −0.220910 1.59548i
\(223\) 9.77800 + 9.77800i 0.654783 + 0.654783i 0.954141 0.299358i \(-0.0967724\pi\)
−0.299358 + 0.954141i \(0.596772\pi\)
\(224\) 11.0968 14.7858i 0.741439 0.987920i
\(225\) 25.0604 + 13.3128i 1.67069 + 0.887522i
\(226\) 11.8267 + 12.0887i 0.786701 + 0.804130i
\(227\) 8.10416 9.87494i 0.537892 0.655423i −0.431161 0.902275i \(-0.641896\pi\)
0.969053 + 0.246852i \(0.0793961\pi\)
\(228\) −10.1101 + 8.79022i −0.669556 + 0.582146i
\(229\) 21.0125 6.37408i 1.38855 0.421211i 0.494497 0.869179i \(-0.335352\pi\)
0.894050 + 0.447968i \(0.147852\pi\)
\(230\) 0.274896 + 3.14377i 0.0181261 + 0.207294i
\(231\) 15.2908 13.8944i 1.00606 0.914183i
\(232\) 5.28272 15.5552i 0.346828 1.02125i
\(233\) −9.32302 + 13.9529i −0.610772 + 0.914084i −0.999975 0.00706758i \(-0.997750\pi\)
0.389203 + 0.921152i \(0.372750\pi\)
\(234\) 14.7864 9.70128i 0.966615 0.634193i
\(235\) −3.66246 0.360721i −0.238913 0.0235309i
\(236\) 0.481587 + 1.72257i 0.0313486 + 0.112130i
\(237\) −0.0857356 + 0.583115i −0.00556913 + 0.0378774i
\(238\) −23.8451 5.01524i −1.54565 0.325090i
\(239\) −1.80217 4.35082i −0.116573 0.281431i 0.854814 0.518934i \(-0.173671\pi\)
−0.971387 + 0.237503i \(0.923671\pi\)
\(240\) 7.48225 25.2596i 0.482977 1.63050i
\(241\) −1.81038 + 4.37064i −0.116617 + 0.281538i −0.971401 0.237446i \(-0.923690\pi\)
0.854784 + 0.518984i \(0.173690\pi\)
\(242\) −1.85479 + 2.71111i −0.119230 + 0.174277i
\(243\) −5.15771 + 14.7105i −0.330867 + 0.943677i
\(244\) −18.1137 + 21.1110i −1.15961 + 1.35149i
\(245\) 8.87724 + 10.8169i 0.567146 + 0.691069i
\(246\) 13.3189 + 12.3084i 0.849182 + 0.784755i
\(247\) 3.14498 + 15.8109i 0.200111 + 1.00602i
\(248\) 18.1704 + 8.23599i 1.15382 + 0.522986i
\(249\) −0.439114 + 9.17765i −0.0278277 + 0.581610i
\(250\) 7.21156 22.8684i 0.456099 1.44632i
\(251\) 12.5745 23.5253i 0.793698 1.48490i −0.0791233 0.996865i \(-0.525212\pi\)
0.872821 0.488040i \(-0.162288\pi\)
\(252\) 17.1107 + 9.57618i 1.07788 + 0.603242i
\(253\) 2.13167 0.209952i 0.134017 0.0131995i
\(254\) 3.73376 8.74197i 0.234277 0.548520i
\(255\) −34.3414 + 5.13892i −2.15054 + 0.321812i
\(256\) −15.9386 1.40047i −0.996162 0.0875291i
\(257\) 17.3533i 1.08247i −0.840871 0.541235i \(-0.817957\pi\)
0.840871 0.541235i \(-0.182043\pi\)
\(258\) 0.110245 0.422725i 0.00686357 0.0263177i
\(259\) −3.13837 31.8644i −0.195009 1.97996i
\(260\) −21.9190 22.9012i −1.35936 1.42027i
\(261\) 17.0981 + 3.35563i 1.05835 + 0.207708i
\(262\) 4.79015 + 1.51057i 0.295936 + 0.0933236i
\(263\) −2.97308 + 14.9467i −0.183328 + 0.921651i 0.774119 + 0.633040i \(0.218193\pi\)
−0.957447 + 0.288610i \(0.906807\pi\)
\(264\) −17.1997 4.89048i −1.05857 0.300988i
\(265\) −24.0293 + 4.77972i −1.47611 + 0.293616i
\(266\) −13.9401 + 11.1871i −0.854724 + 0.685923i
\(267\) 4.75592 + 4.29946i 0.291057 + 0.263122i
\(268\) 8.75082 + 7.50841i 0.534541 + 0.458649i
\(269\) −13.7669 25.7560i −0.839381 1.57037i −0.821273 0.570535i \(-0.806736\pi\)
−0.0181072 0.999836i \(-0.505764\pi\)
\(270\) 27.6102 + 4.29676i 1.68030 + 0.261493i
\(271\) 5.32591 + 2.20607i 0.323526 + 0.134009i 0.538535 0.842603i \(-0.318978\pi\)
−0.215009 + 0.976612i \(0.568978\pi\)
\(272\) 7.20917 + 19.8186i 0.437120 + 1.20168i
\(273\) 20.2221 12.1558i 1.22390 0.735704i
\(274\) −5.67769 + 26.9947i −0.343002 + 1.63081i
\(275\) −33.0390 10.0223i −1.99233 0.604367i
\(276\) 0.831068 + 1.85524i 0.0500244 + 0.111672i
\(277\) 0.727713 7.38860i 0.0437240 0.443938i −0.948253 0.317517i \(-0.897151\pi\)
0.991977 0.126421i \(-0.0403490\pi\)
\(278\) −1.88225 6.45884i −0.112890 0.387375i
\(279\) −6.09065 + 20.2645i −0.364638 + 1.21320i
\(280\) 11.3026 33.2811i 0.675461 1.98893i
\(281\) −8.23105 + 5.49981i −0.491023 + 0.328091i −0.776310 0.630351i \(-0.782911\pi\)
0.285287 + 0.958442i \(0.407911\pi\)
\(282\) −2.30512 + 0.553751i −0.137268 + 0.0329754i
\(283\) −5.22129 17.2123i −0.310373 1.02316i −0.963901 0.266261i \(-0.914212\pi\)
0.653528 0.756903i \(-0.273288\pi\)
\(284\) 4.10748 + 6.44879i 0.243734 + 0.382665i
\(285\) −13.0669 + 21.8641i −0.774015 + 1.29512i
\(286\) −15.3804 + 15.0470i −0.909460 + 0.889748i
\(287\) 17.1088 + 17.1088i 1.00990 + 1.00990i
\(288\) −0.779601 16.9526i −0.0459384 0.998944i
\(289\) 7.63446 7.63446i 0.449086 0.449086i
\(290\) 0.342159 31.2315i 0.0200923 1.83397i
\(291\) 5.98664 + 3.57786i 0.350943 + 0.209738i
\(292\) 7.03349 10.0429i 0.411604 0.587714i
\(293\) 3.51577 1.06650i 0.205393 0.0623054i −0.185911 0.982567i \(-0.559524\pi\)
0.391305 + 0.920261i \(0.372024\pi\)
\(294\) 7.68650 + 4.70881i 0.448286 + 0.274623i
\(295\) 1.88928 + 2.82751i 0.109998 + 0.164624i
\(296\) −21.9874 + 16.8666i −1.27799 + 0.980353i
\(297\) 2.71097 18.7714i 0.157306 1.08923i
\(298\) 4.90053 + 2.68882i 0.283880 + 0.155759i
\(299\) 2.43437 + 0.239765i 0.140784 + 0.0138660i
\(300\) −0.932255 32.7537i −0.0538237 1.89104i
\(301\) 0.169192 0.557753i 0.00975209 0.0321483i
\(302\) −14.4655 + 9.43798i −0.832396 + 0.543095i
\(303\) 5.79404 + 9.63882i 0.332859 + 0.553735i
\(304\) 14.5926 + 5.13477i 0.836941 + 0.294499i
\(305\) −20.2390 + 48.8612i −1.15888 + 2.79778i
\(306\) −19.8150 + 10.3783i −1.13275 + 0.593287i
\(307\) 17.1193 9.15045i 0.977049 0.522244i 0.0960579 0.995376i \(-0.469377\pi\)
0.880992 + 0.473132i \(0.156877\pi\)
\(308\) −22.6724 7.42378i −1.29188 0.423009i
\(309\) −18.4092 + 20.3636i −1.04726 + 1.15845i
\(310\) 37.7040 + 4.13105i 2.14144 + 0.234628i
\(311\) −2.06023 10.3575i −0.116825 0.587318i −0.994203 0.107519i \(-0.965709\pi\)
0.877378 0.479799i \(-0.159291\pi\)
\(312\) −18.1751 9.30960i −1.02896 0.527052i
\(313\) −11.1729 2.22242i −0.631527 0.125619i −0.131060 0.991374i \(-0.541838\pi\)
−0.500467 + 0.865756i \(0.666838\pi\)
\(314\) −6.97152 + 3.62873i −0.393426 + 0.204781i
\(315\) 36.5822 + 7.17951i 2.06117 + 0.404520i
\(316\) 0.634313 0.246602i 0.0356829 0.0138725i
\(317\) 16.9472 1.66915i 0.951849 0.0937490i 0.389843 0.920882i \(-0.372529\pi\)
0.562007 + 0.827133i \(0.310029\pi\)
\(318\) −13.6149 + 7.98239i −0.763485 + 0.447630i
\(319\) −21.1998 −1.18696
\(320\) −29.6273 + 6.89933i −1.65622 + 0.385684i
\(321\) 2.12771 + 14.2187i 0.118757 + 0.793608i
\(322\) 1.01040 + 2.51696i 0.0563074 + 0.140265i
\(323\) −1.99857 20.2918i −0.111203 1.12906i
\(324\) 17.7106 3.21457i 0.983924 0.178587i
\(325\) −34.7727 18.5864i −1.92884 1.03099i
\(326\) −0.343199 + 0.178638i −0.0190081 + 0.00989384i
\(327\) 9.75521 + 0.466748i 0.539464 + 0.0258112i
\(328\) 4.75804 20.3932i 0.262719 1.12602i
\(329\) −3.10213 + 0.617053i −0.171026 + 0.0340192i
\(330\) −33.9707 + 1.33948i −1.87003 + 0.0737360i
\(331\) 16.3580 13.4247i 0.899119 0.737888i −0.0665173 0.997785i \(-0.521189\pi\)
0.965636 + 0.259897i \(0.0836888\pi\)
\(332\) 9.46413 4.79512i 0.519411 0.263166i
\(333\) −20.8367 20.7305i −1.14185 1.13602i
\(334\) 23.9745 4.49636i 1.31182 0.246030i
\(335\) 20.2537 + 8.38935i 1.10658 + 0.458359i
\(336\) −0.148178 22.6411i −0.00808379 1.23517i
\(337\) −14.8350 + 6.14487i −0.808115 + 0.334732i −0.748202 0.663471i \(-0.769083\pi\)
−0.0599135 + 0.998204i \(0.519083\pi\)
\(338\) −5.18190 + 3.38092i −0.281858 + 0.183898i
\(339\) 20.4923 + 3.01299i 1.11299 + 0.163643i
\(340\) 24.7512 + 31.5441i 1.34232 + 1.71072i
\(341\) 2.52344 25.6209i 0.136652 1.38745i
\(342\) −3.33610 + 16.0653i −0.180396 + 0.868710i
\(343\) −9.02128 6.02783i −0.487103 0.325472i
\(344\) −0.487277 + 0.130492i −0.0262722 + 0.00703566i
\(345\) 2.59924 + 2.86046i 0.139938 + 0.154002i
\(346\) −7.19231 6.03564i −0.386661 0.324478i
\(347\) 6.76034 + 22.2858i 0.362914 + 1.19637i 0.928392 + 0.371603i \(0.121192\pi\)
−0.565478 + 0.824764i \(0.691308\pi\)
\(348\) −6.38590 19.0795i −0.342320 1.02277i
\(349\) −26.0642 21.3903i −1.39518 1.14500i −0.970905 0.239465i \(-0.923028\pi\)
−0.424278 0.905532i \(-0.639472\pi\)
\(350\) 0.478913 43.7140i 0.0255990 2.33661i
\(351\) 7.21858 20.4211i 0.385299 1.09000i
\(352\) 4.90297 + 20.0571i 0.261329 + 1.06905i
\(353\) 1.11397 1.11397i 0.0592905 0.0592905i −0.676840 0.736130i \(-0.736651\pi\)
0.736130 + 0.676840i \(0.236651\pi\)
\(354\) 1.74680 + 1.32191i 0.0928415 + 0.0702587i
\(355\) 11.2369 + 9.22191i 0.596395 + 0.489448i
\(356\) 1.60299 7.22744i 0.0849585 0.383053i
\(357\) −26.9615 + 12.7940i −1.42695 + 0.677132i
\(358\) −1.66121 18.9979i −0.0877976 1.00407i
\(359\) 1.64483 + 2.46167i 0.0868109 + 0.129922i 0.872334 0.488911i \(-0.162606\pi\)
−0.785523 + 0.618833i \(0.787606\pi\)
\(360\) −11.4383 30.1697i −0.602854 1.59008i
\(361\) 3.36180 + 2.24628i 0.176937 + 0.118225i
\(362\) 2.64947 + 9.09149i 0.139253 + 0.477838i
\(363\) 0.202540 + 4.01802i 0.0106306 + 0.210891i
\(364\) −23.7404 13.3663i −1.24433 0.700585i
\(365\) 6.76683 22.3072i 0.354192 1.16761i
\(366\) −2.00088 + 34.0098i −0.104588 + 1.77772i
\(367\) 13.9458 5.77654i 0.727964 0.301533i 0.0122491 0.999925i \(-0.496101\pi\)
0.715715 + 0.698392i \(0.246101\pi\)
\(368\) 1.38837 1.89276i 0.0723740 0.0986668i
\(369\) 22.1097 + 2.12058i 1.15098 + 0.110393i
\(370\) −29.7493 + 43.4840i −1.54659 + 2.26063i
\(371\) −18.5700 + 9.92589i −0.964108 + 0.515327i
\(372\) 23.8187 5.44660i 1.23494 0.282393i
\(373\) −6.91218 + 5.67268i −0.357899 + 0.293720i −0.796110 0.605152i \(-0.793112\pi\)
0.438211 + 0.898872i \(0.355612\pi\)
\(374\) 21.2254 17.0335i 1.09754 0.880783i
\(375\) −9.92897 27.6382i −0.512730 1.42723i
\(376\) 1.87102 + 1.99823i 0.0964903 + 0.103051i
\(377\) −23.7450 4.72317i −1.22293 0.243255i
\(378\) 23.7796 3.35447i 1.22309 0.172535i
\(379\) −23.3963 12.5056i −1.20179 0.642369i −0.255850 0.966717i \(-0.582355\pi\)
−0.945938 + 0.324348i \(0.894855\pi\)
\(380\) 29.4045 + 0.644366i 1.50842 + 0.0330553i
\(381\) −2.84329 11.2898i −0.145666 0.578395i
\(382\) −8.27503 + 19.3746i −0.423387 + 0.991290i
\(383\) −22.8681 −1.16851 −0.584254 0.811571i \(-0.698613\pi\)
−0.584254 + 0.811571i \(0.698613\pi\)
\(384\) −16.5743 + 10.4543i −0.845803 + 0.533495i
\(385\) −45.3578 −2.31165
\(386\) −9.26572 + 21.6941i −0.471613 + 1.10420i
\(387\) −0.206016 0.493794i −0.0104724 0.0251010i
\(388\) 0.176435 8.05130i 0.00895712 0.408743i
\(389\) 5.26608 + 2.81478i 0.267001 + 0.142715i 0.599465 0.800401i \(-0.295380\pi\)
−0.332464 + 0.943116i \(0.607880\pi\)
\(390\) −38.3476 6.06815i −1.94180 0.307273i
\(391\) −3.03453 0.603605i −0.153463 0.0305256i
\(392\) 0.342024 10.4030i 0.0172748 0.525433i
\(393\) 5.78926 2.07978i 0.292030 0.104911i
\(394\) 5.71557 4.58679i 0.287946 0.231079i
\(395\) 1.00021 0.820854i 0.0503262 0.0413016i
\(396\) −20.3916 + 7.98769i −1.02471 + 0.401397i
\(397\) 2.89483 1.54732i 0.145287 0.0776577i −0.397151 0.917753i \(-0.630001\pi\)
0.542439 + 0.840096i \(0.317501\pi\)
\(398\) −2.74393 + 4.01077i −0.137541 + 0.201042i
\(399\) −5.29194 + 21.2418i −0.264929 + 1.06342i
\(400\) −32.3502 + 19.6223i −1.61751 + 0.981113i
\(401\) 13.3588 5.53340i 0.667108 0.276325i −0.0233183 0.999728i \(-0.507423\pi\)
0.690426 + 0.723403i \(0.257423\pi\)
\(402\) 14.0976 + 0.829395i 0.703123 + 0.0413665i
\(403\) 8.53457 28.1347i 0.425137 1.40149i
\(404\) 6.37101 11.3158i 0.316970 0.562982i
\(405\) 30.0987 16.2864i 1.49562 0.809279i
\(406\) −7.51031 25.7712i −0.372730 1.27900i
\(407\) 29.7344 + 19.8679i 1.47388 + 0.984815i
\(408\) 21.7236 + 13.9717i 1.07548 + 0.691700i
\(409\) −9.13412 13.6702i −0.451653 0.675947i 0.533855 0.845576i \(-0.320743\pi\)
−0.985508 + 0.169629i \(0.945743\pi\)
\(410\) −3.46815 39.6625i −0.171280 1.95879i
\(411\) 14.4840 + 30.5228i 0.714441 + 1.50558i
\(412\) 30.9460 + 6.86362i 1.52460 + 0.338146i
\(413\) 2.25923 + 1.85410i 0.111169 + 0.0912344i
\(414\) 2.18583 + 1.19206i 0.107428 + 0.0585867i
\(415\) 14.2634 14.2634i 0.700161 0.700161i
\(416\) 1.02301 + 23.5575i 0.0501574 + 1.15500i
\(417\) −6.62428 4.89980i −0.324393 0.239944i
\(418\) 0.218696 19.9621i 0.0106968 0.976376i
\(419\) 27.7569 + 22.7795i 1.35601 + 1.11285i 0.982712 + 0.185143i \(0.0592750\pi\)
0.373303 + 0.927709i \(0.378225\pi\)
\(420\) −13.6629 40.8215i −0.666682 1.99189i
\(421\) 7.86995 + 25.9438i 0.383558 + 1.26442i 0.910141 + 0.414298i \(0.135973\pi\)
−0.526583 + 0.850123i \(0.676527\pi\)
\(422\) 11.2155 + 9.41184i 0.545963 + 0.458161i
\(423\) −1.83622 + 2.24914i −0.0892800 + 0.109357i
\(424\) 15.7811 + 9.11418i 0.766398 + 0.442624i
\(425\) 41.4657 + 27.7065i 2.01138 + 1.34396i
\(426\) 8.78583 + 3.23986i 0.425675 + 0.156972i
\(427\) −4.45520 + 45.2344i −0.215602 + 2.18905i
\(428\) 13.0605 10.2480i 0.631302 0.495353i
\(429\) −3.83340 + 26.0721i −0.185078 + 1.25878i
\(430\) −0.803236 + 0.524069i −0.0387355 + 0.0252728i
\(431\) 20.3983 8.44927i 0.982553 0.406987i 0.167183 0.985926i \(-0.446533\pi\)
0.815371 + 0.578939i \(0.196533\pi\)
\(432\) −13.3313 15.9461i −0.641401 0.767205i
\(433\) 9.85288 + 4.08119i 0.473499 + 0.196130i 0.606655 0.794965i \(-0.292511\pi\)
−0.133156 + 0.991095i \(0.542511\pi\)
\(434\) 32.0397 6.00899i 1.53796 0.288441i
\(435\) −22.8264 30.6958i −1.09444 1.47175i
\(436\) −5.09688 10.0597i −0.244096 0.481773i
\(437\) −1.75439 + 1.43979i −0.0839236 + 0.0688743i
\(438\) −0.591646 15.0048i −0.0282699 0.716957i
\(439\) 29.7110 5.90989i 1.41803 0.282063i 0.574217 0.818703i \(-0.305306\pi\)
0.843812 + 0.536639i \(0.180306\pi\)
\(440\) 20.7254 + 33.3396i 0.988044 + 1.58940i
\(441\) 10.9841 1.11019i 0.523052 0.0528662i
\(442\) 27.5686 14.3497i 1.31131 0.682544i
\(443\) −13.2746 7.09542i −0.630696 0.337114i 0.124883 0.992171i \(-0.460144\pi\)
−0.755579 + 0.655058i \(0.772644\pi\)
\(444\) −8.92412 + 32.7453i −0.423520 + 1.55402i
\(445\) −1.37960 14.0073i −0.0653993 0.664010i
\(446\) −7.28538 18.1483i −0.344973 0.859346i
\(447\) 6.77060 1.01317i 0.320238 0.0479211i
\(448\) −22.6452 + 13.0658i −1.06989 + 0.617299i
\(449\) −8.36399 −0.394721 −0.197361 0.980331i \(-0.563237\pi\)
−0.197361 + 0.980331i \(0.563237\pi\)
\(450\) −25.1975 31.2346i −1.18782 1.47241i
\(451\) −26.8937 + 2.64880i −1.26637 + 0.124727i
\(452\) −8.66629 22.2915i −0.407628 1.04850i
\(453\) −7.10109 + 19.9265i −0.333638 + 0.936227i
\(454\) −16.0252 + 8.34124i −0.752100 + 0.391474i
\(455\) −50.8034 10.1054i −2.38170 0.473749i
\(456\) 18.0315 5.81625i 0.844402 0.272371i
\(457\) 3.59902 + 18.0935i 0.168355 + 0.846379i 0.968966 + 0.247194i \(0.0795086\pi\)
−0.800611 + 0.599185i \(0.795491\pi\)
\(458\) −30.8686 3.38213i −1.44240 0.158036i
\(459\) −11.6181 + 24.8099i −0.542284 + 1.15803i
\(460\) 1.38877 4.24134i 0.0647519 0.197754i
\(461\) 4.49471 2.40247i 0.209340 0.111894i −0.363395 0.931635i \(-0.618383\pi\)
0.572735 + 0.819741i \(0.305883\pi\)
\(462\) −27.6045 + 9.57675i −1.28428 + 0.445551i
\(463\) −2.74465 + 6.62618i −0.127555 + 0.307945i −0.974736 0.223359i \(-0.928298\pi\)
0.847181 + 0.531304i \(0.178298\pi\)
\(464\) −15.5110 + 17.2960i −0.720082 + 0.802947i
\(465\) 39.8145 23.9331i 1.84635 1.10987i
\(466\) 19.8756 12.9678i 0.920720 0.600721i
\(467\) −5.07306 + 16.7237i −0.234753 + 0.773878i 0.757845 + 0.652435i \(0.226252\pi\)
−0.992598 + 0.121444i \(0.961248\pi\)
\(468\) −24.6193 + 4.40358i −1.13803 + 0.203555i
\(469\) 18.7503 + 1.84675i 0.865810 + 0.0852748i
\(470\) 4.56287 + 2.50355i 0.210469 + 0.115480i
\(471\) −4.10441 + 8.70681i −0.189121 + 0.401189i
\(472\) 0.330518 2.50781i 0.0152133 0.115431i
\(473\) 0.361665 + 0.541270i 0.0166294 + 0.0248876i
\(474\) 0.435411 0.710750i 0.0199991 0.0326458i
\(475\) 35.0066 10.6191i 1.60621 0.487239i
\(476\) 28.2260 + 19.7680i 1.29374 + 0.906064i
\(477\) −7.35138 + 17.8769i −0.336596 + 0.818526i
\(478\) −0.0729593 + 6.65954i −0.00333708 + 0.304600i
\(479\) −27.6551 + 27.6551i −1.26359 + 1.26359i −0.314255 + 0.949339i \(0.601755\pi\)
−0.949339 + 0.314255i \(0.898245\pi\)
\(480\) −23.7622 + 28.6953i −1.08459 + 1.30976i
\(481\) 28.8778 + 28.8778i 1.31672 + 1.31672i
\(482\) 4.78229 4.67864i 0.217827 0.213106i
\(483\) 2.85134 + 1.70408i 0.129740 + 0.0775383i
\(484\) 3.91821 2.49566i 0.178100 0.113439i
\(485\) −4.44461 14.6519i −0.201819 0.665309i
\(486\) 14.8792 16.2668i 0.674935 0.737877i
\(487\) −26.8610 + 17.9480i −1.21719 + 0.813300i −0.987137 0.159878i \(-0.948890\pi\)
−0.230053 + 0.973178i \(0.573890\pi\)
\(488\) 35.2846 17.3943i 1.59726 0.787401i
\(489\) −0.202055 + 0.428626i −0.00913724 + 0.0193831i
\(490\) −5.53678 18.9991i −0.250126 0.858294i
\(491\) 3.72833 37.8544i 0.168257 1.70834i −0.426540 0.904469i \(-0.640268\pi\)
0.594797 0.803876i \(-0.297232\pi\)
\(492\) −10.4849 23.4061i −0.472698 1.05523i
\(493\) 29.3033 + 8.88905i 1.31975 + 0.400343i
\(494\) 4.69237 22.3099i 0.211120 1.00377i
\(495\) −32.1188 + 26.4969i −1.44363 + 1.19095i
\(496\) −19.0567 20.8046i −0.855673 0.934155i
\(497\) 11.5424 + 4.78100i 0.517745 + 0.214457i
\(498\) 5.66907 11.6921i 0.254037 0.523937i
\(499\) 0.800665 + 1.49794i 0.0358427 + 0.0670570i 0.899205 0.437527i \(-0.144146\pi\)
−0.863362 + 0.504584i \(0.831646\pi\)
\(500\) −22.0819 + 25.7358i −0.987533 + 1.15094i
\(501\) 20.0342 22.1612i 0.895062 0.990089i
\(502\) −29.4217 + 23.6111i −1.31315 + 1.05382i
\(503\) 31.0017 6.16661i 1.38230 0.274956i 0.552728 0.833362i \(-0.313587\pi\)
0.829568 + 0.558406i \(0.188587\pi\)
\(504\) −16.9341 21.9590i −0.754306 0.978130i
\(505\) 4.81672 24.2153i 0.214341 1.07757i
\(506\) −2.88899 0.911042i −0.128431 0.0405008i
\(507\) −2.54379 + 7.13815i −0.112974 + 0.317016i
\(508\) −9.71192 + 9.29540i −0.430897 + 0.412417i
\(509\) 1.76218 + 17.8917i 0.0781072 + 0.793036i 0.951833 + 0.306617i \(0.0991971\pi\)
−0.873726 + 0.486419i \(0.838303\pi\)
\(510\) 47.5175 + 12.3924i 2.10411 + 0.548745i
\(511\) 20.0345i 0.886272i
\(512\) 19.9511 + 10.6749i 0.881722 + 0.471769i
\(513\) 8.66156 + 18.1331i 0.382417 + 0.800598i
\(514\) −9.63937 + 22.5690i −0.425174 + 0.995474i
\(515\) 59.9757 5.90710i 2.64285 0.260298i
\(516\) −0.378194 + 0.488539i −0.0166491 + 0.0215067i
\(517\) 1.66527 3.11550i 0.0732384 0.137019i
\(518\) −13.6183 + 43.1847i −0.598354 + 1.89743i
\(519\) −11.4863 0.549574i −0.504193 0.0241236i
\(520\) 15.7858 + 41.9597i 0.692253 + 1.84006i
\(521\) 4.86792 + 24.4727i 0.213267 + 1.07217i 0.927946 + 0.372715i \(0.121573\pi\)
−0.714678 + 0.699453i \(0.753427\pi\)
\(522\) −20.3731 13.8618i −0.891706 0.606714i
\(523\) −15.8667 19.3336i −0.693803 0.845401i 0.300300 0.953845i \(-0.402913\pi\)
−0.994103 + 0.108444i \(0.965413\pi\)
\(524\) −5.39076 4.62540i −0.235497 0.202062i
\(525\) −31.9497 42.9643i −1.39440 1.87512i
\(526\) 12.1692 17.7875i 0.530601 0.775572i
\(527\) −14.2309 + 34.3563i −0.619906 + 1.49659i
\(528\) 19.6526 + 15.9144i 0.855270 + 0.692584i
\(529\) −8.66993 20.9311i −0.376953 0.910046i
\(530\) 33.9064 + 7.13141i 1.47280 + 0.309769i
\(531\) 2.68293 0.00685663i 0.116429 0.000297552i
\(532\) 24.3441 6.80598i 1.05545 0.295077i
\(533\) −30.7126 3.02493i −1.33031 0.131024i
\(534\) −3.79709 8.23348i −0.164316 0.356298i
\(535\) 17.5354 26.2436i 0.758121 1.13461i
\(536\) −7.21018 14.6260i −0.311432 0.631746i
\(537\) −15.7073 17.2859i −0.677821 0.745942i
\(538\) 3.59772 + 41.1443i 0.155109 + 1.77386i
\(539\) −12.8538 + 3.89916i −0.553653 + 0.167949i
\(540\) −33.5219 20.9250i −1.44255 0.900470i
\(541\) −24.4147 + 29.7494i −1.04967 + 1.27903i −0.0905906 + 0.995888i \(0.528875\pi\)
−0.959079 + 0.283138i \(0.908625\pi\)
\(542\) −5.70123 5.82753i −0.244889 0.250314i
\(543\) 9.32438 + 6.89698i 0.400147 + 0.295978i
\(544\) 1.63284 29.7797i 0.0700074 1.27679i
\(545\) −15.1610 15.1610i −0.649424 0.649424i
\(546\) −33.0523 + 4.57641i −1.41451 + 0.195852i
\(547\) −9.76126 + 11.8941i −0.417361 + 0.508556i −0.938672 0.344810i \(-0.887943\pi\)
0.521311 + 0.853367i \(0.325443\pi\)
\(548\) 22.3791 31.9543i 0.955987 1.36502i
\(549\) 23.2700 + 34.6340i 0.993138 + 1.47814i
\(550\) 37.4020 + 31.3870i 1.59483 + 1.33834i
\(551\) 18.6767 12.4794i 0.795653 0.531639i
\(552\) −0.0503078 2.87448i −0.00214124 0.122346i
\(553\) 0.617821 0.924635i 0.0262724 0.0393195i
\(554\) −5.05063 + 9.20505i −0.214581 + 0.391085i
\(555\) 3.24857 + 64.4458i 0.137894 + 2.73557i
\(556\) −1.13976 + 9.44562i −0.0483367 + 0.400584i
\(557\) −10.7939 3.27428i −0.457350 0.138736i 0.0531995 0.998584i \(-0.483058\pi\)
−0.510550 + 0.859848i \(0.670558\pi\)
\(558\) 19.1777 22.9719i 0.811856 0.972477i
\(559\) 0.284495 + 0.686831i 0.0120328 + 0.0290498i
\(560\) −33.1866 + 37.0056i −1.40239 + 1.56377i
\(561\) 8.05757 32.3429i 0.340191 1.36552i
\(562\) 13.7600 2.58065i 0.580429 0.108858i
\(563\) 6.83063 + 12.7792i 0.287877 + 0.538580i 0.983741 0.179594i \(-0.0574784\pi\)
−0.695864 + 0.718174i \(0.744978\pi\)
\(564\) 3.30553 + 0.560255i 0.139188 + 0.0235910i
\(565\) −28.8471 35.1503i −1.21361 1.47878i
\(566\) −2.77045 + 25.2858i −0.116451 + 1.06284i
\(567\) 20.6910 20.9036i 0.868942 0.877871i
\(568\) −1.75986 10.6686i −0.0738419 0.447646i
\(569\) −3.54162 + 17.8049i −0.148473 + 0.746422i 0.832766 + 0.553625i \(0.186756\pi\)
−0.981239 + 0.192797i \(0.938244\pi\)
\(570\) 29.1392 21.1771i 1.22051 0.887012i
\(571\) −13.3490 + 24.9743i −0.558640 + 1.04514i 0.431106 + 0.902301i \(0.358124\pi\)
−0.989746 + 0.142841i \(0.954376\pi\)
\(572\) 28.3613 11.0260i 1.18584 0.461022i
\(573\) 6.30151 + 25.0213i 0.263249 + 1.04528i
\(574\) −12.7474 31.7546i −0.532068 1.32541i
\(575\) 5.55093i 0.231490i
\(576\) −8.40289 + 22.4809i −0.350120 + 0.936705i
\(577\) 16.1453i 0.672136i −0.941838 0.336068i \(-0.890903\pi\)
0.941838 0.336068i \(-0.109097\pi\)
\(578\) −14.1698 + 5.68827i −0.589386 + 0.236601i
\(579\) 7.05592 + 28.0169i 0.293234 + 1.16434i
\(580\) −17.7934 + 40.4282i −0.738829 + 1.67869i
\(581\) 8.17222 15.2892i 0.339041 0.634301i
\(582\) −5.79854 7.97865i −0.240357 0.330726i
\(583\) 4.58807 23.0658i 0.190018 0.955287i
\(584\) −14.7260 + 9.15436i −0.609368 + 0.378810i
\(585\) −41.8783 + 22.5222i −1.73145 + 0.931178i
\(586\) −5.16487 0.565890i −0.213359 0.0233767i
\(587\) −27.9822 34.0964i −1.15495 1.40731i −0.897498 0.441019i \(-0.854617\pi\)
−0.257452 0.966291i \(-0.582883\pi\)
\(588\) −7.38108 10.3937i −0.304391 0.428631i
\(589\) 12.8588 + 24.0571i 0.529837 + 0.991256i
\(590\) −0.886501 4.72679i −0.0364967 0.194599i
\(591\) 2.16974 8.70930i 0.0892512 0.358253i
\(592\) 37.9649 9.72249i 1.56035 0.399592i
\(593\) 9.83138 + 23.7350i 0.403726 + 0.974681i 0.986753 + 0.162228i \(0.0518682\pi\)
−0.583027 + 0.812453i \(0.698132\pi\)
\(594\) −13.9528 + 22.9074i −0.572492 + 0.939900i
\(595\) 62.6956 + 19.0185i 2.57027 + 0.779683i
\(596\) −4.87984 6.21910i −0.199886 0.254744i
\(597\) 0.299634 + 5.94419i 0.0122632 + 0.243279i
\(598\) −3.03286 1.66407i −0.124023 0.0680487i
\(599\) 8.48949 12.7054i 0.346871 0.519129i −0.616481 0.787370i \(-0.711442\pi\)
0.963352 + 0.268241i \(0.0864422\pi\)
\(600\) −16.9815 + 43.1159i −0.693266 + 1.76020i
\(601\) −26.1982 + 17.5051i −1.06865 + 0.714048i −0.959991 0.280032i \(-0.909655\pi\)
−0.108657 + 0.994079i \(0.534655\pi\)
\(602\) −0.529863 + 0.631406i −0.0215956 + 0.0257342i
\(603\) 14.3563 9.64575i 0.584635 0.392805i
\(604\) 24.0558 4.23936i 0.978816 0.172497i
\(605\) 5.60313 6.82743i 0.227800 0.277575i
\(606\) −2.18133 15.7543i −0.0886105 0.639974i
\(607\) 16.6124 + 16.6124i 0.674278 + 0.674278i 0.958699 0.284422i \(-0.0918015\pi\)
−0.284422 + 0.958699i \(0.591802\pi\)
\(608\) −16.1262 14.7839i −0.654004 0.599566i
\(609\) −26.4314 19.5505i −1.07105 0.792227i
\(610\) 53.4631 52.3044i 2.16466 2.11774i
\(611\) 2.55931 3.11853i 0.103539 0.126162i
\(612\) 31.5354 2.49078i 1.27474 0.100684i
\(613\) 35.8033 10.8608i 1.44608 0.438664i 0.532887 0.846186i \(-0.321107\pi\)
0.913195 + 0.407522i \(0.133607\pi\)
\(614\) −27.3475 + 2.39130i −1.10365 + 0.0965051i
\(615\) −32.7926 36.0882i −1.32232 1.45522i
\(616\) 25.3629 + 22.2490i 1.02190 + 0.896438i
\(617\) −14.9464 + 22.3689i −0.601720 + 0.900537i −0.999859 0.0167878i \(-0.994656\pi\)
0.398139 + 0.917325i \(0.369656\pi\)
\(618\) 35.2537 16.2582i 1.41811 0.653999i
\(619\) −39.3230 3.87298i −1.58052 0.155668i −0.730687 0.682713i \(-0.760800\pi\)
−0.849837 + 0.527045i \(0.823300\pi\)
\(620\) −46.7414 26.3164i −1.87718 1.05689i
\(621\) 3.01457 0.458987i 0.120971 0.0184185i
\(622\) −3.07389 + 14.6149i −0.123252 + 0.586003i
\(623\) −4.62922 11.1759i −0.185466 0.447754i
\(624\) 18.4664 + 22.2035i 0.739249 + 0.888851i
\(625\) −6.57367 + 15.8702i −0.262947 + 0.634809i
\(626\) 13.2964 + 9.09664i 0.531432 + 0.363575i
\(627\) −14.5899 19.6197i −0.582663 0.783536i
\(628\) 11.0825 0.846846i 0.442241 0.0337928i
\(629\) −32.7696 39.9299i −1.30661 1.59211i
\(630\) −43.5891 29.6579i −1.73663 1.18160i
\(631\) 8.18881 + 41.1679i 0.325991 + 1.63887i 0.701945 + 0.712231i \(0.252315\pi\)
−0.375954 + 0.926638i \(0.622685\pi\)
\(632\) −0.961941 0.0316260i −0.0382640 0.00125802i
\(633\) 17.9115 + 0.856994i 0.711918 + 0.0340624i
\(634\) −22.9680 7.24295i −0.912174 0.287654i
\(635\) −12.0486 + 22.5413i −0.478133 + 0.894525i
\(636\) 22.1410 2.81878i 0.877946 0.111772i
\(637\) −15.2657 + 1.50354i −0.604849 + 0.0595725i
\(638\) 27.5715 + 11.7760i 1.09157 + 0.466215i
\(639\) 10.9663 3.35723i 0.433821 0.132810i
\(640\) 42.3644 + 7.48431i 1.67460 + 0.295843i
\(641\) 5.82198i 0.229954i −0.993368 0.114977i \(-0.963321\pi\)
0.993368 0.114977i \(-0.0366795\pi\)
\(642\) 5.13093 19.6741i 0.202502 0.776473i
\(643\) −1.86779 18.9640i −0.0736584 0.747867i −0.959091 0.283098i \(-0.908638\pi\)
0.885432 0.464768i \(-0.153862\pi\)
\(644\) 0.0840331 3.83471i 0.00331137 0.151109i
\(645\) −0.394307 + 1.10647i −0.0155258 + 0.0435672i
\(646\) −8.67237 + 27.5007i −0.341210 + 1.08200i
\(647\) −1.15187 + 5.79082i −0.0452845 + 0.227661i −0.996800 0.0799416i \(-0.974527\pi\)
0.951515 + 0.307602i \(0.0995266\pi\)
\(648\) −24.8193 5.65712i −0.974994 0.222233i
\(649\) −3.20155 + 0.636828i −0.125672 + 0.0249977i
\(650\) 34.8996 + 43.4881i 1.36887 + 1.70574i
\(651\) 26.7739 29.6164i 1.04935 1.16076i
\(652\) 0.545579 0.0416892i 0.0213665 0.00163267i
\(653\) 7.38596 + 13.8182i 0.289035 + 0.540746i 0.983972 0.178325i \(-0.0570677\pi\)
−0.694937 + 0.719071i \(0.744568\pi\)
\(654\) −12.4279 6.02583i −0.485970 0.235628i
\(655\) −12.4769 5.16808i −0.487511 0.201934i
\(656\) −17.5160 + 23.8795i −0.683886 + 0.932337i
\(657\) −11.7036 14.1868i −0.456602 0.553481i
\(658\) 4.37726 + 0.920652i 0.170643 + 0.0358908i
\(659\) 21.3516 + 6.47694i 0.831741 + 0.252306i 0.677310 0.735698i \(-0.263146\pi\)
0.154431 + 0.988004i \(0.450646\pi\)
\(660\) 44.9248 + 17.1279i 1.74870 + 0.666702i
\(661\) 1.63971 16.6483i 0.0637775 0.647544i −0.909156 0.416457i \(-0.863272\pi\)
0.972933 0.231087i \(-0.0742282\pi\)
\(662\) −28.7316 + 8.37305i −1.11669 + 0.325428i
\(663\) 16.2307 34.4307i 0.630349 1.33718i
\(664\) −14.9722 + 0.979217i −0.581034 + 0.0380010i
\(665\) 39.9596 26.7001i 1.54957 1.03539i
\(666\) 15.5840 + 38.5355i 0.603868 + 1.49322i
\(667\) −0.989415 3.26166i −0.0383103 0.126292i
\(668\) −33.6777 7.46949i −1.30303 0.289003i
\(669\) −20.5593 12.2871i −0.794867 0.475045i
\(670\) −21.6809 22.1613i −0.837608 0.856164i
\(671\) −35.8972 35.8972i −1.38580 1.38580i
\(672\) −12.3839 + 29.5283i −0.477719 + 1.13908i
\(673\) −24.1661 + 24.1661i −0.931535 + 0.931535i −0.997802 0.0662672i \(-0.978891\pi\)
0.0662672 + 0.997802i \(0.478891\pi\)
\(674\) 22.7071 + 0.248770i 0.874645 + 0.00958226i
\(675\) −47.7229 11.7597i −1.83686 0.452632i
\(676\) 8.61737 1.51864i 0.331437 0.0584093i
\(677\) −24.0108 + 7.28361i −0.922811 + 0.279932i −0.715718 0.698389i \(-0.753900\pi\)
−0.207093 + 0.978321i \(0.566400\pi\)
\(678\) −24.9777 15.3016i −0.959264 0.587653i
\(679\) −7.31081 10.9414i −0.280563 0.419892i
\(680\) −14.6683 54.7736i −0.562503 2.10047i
\(681\) −9.43467 + 20.0141i −0.361537 + 0.766940i
\(682\) −17.5137 + 31.9197i −0.670635 + 1.22227i
\(683\) −6.23373 0.613969i −0.238527 0.0234929i −0.0219528 0.999759i \(-0.506988\pi\)
−0.216574 + 0.976266i \(0.569488\pi\)
\(684\) 13.2627 19.0407i 0.507111 0.728038i
\(685\) 21.5306 70.9769i 0.822642 2.71189i
\(686\) 8.38436 + 12.8506i 0.320116 + 0.490640i
\(687\) −32.5965 + 19.5942i −1.24363 + 0.747567i
\(688\) 0.706216 + 0.100959i 0.0269242 + 0.00384902i
\(689\) 10.2778 24.8128i 0.391553 0.945293i
\(690\) −1.79153 5.16401i −0.0682025 0.196590i
\(691\) −29.3231 + 15.6735i −1.11550 + 0.596249i −0.922904 0.385029i \(-0.874191\pi\)
−0.192598 + 0.981278i \(0.561691\pi\)
\(692\) 6.00134 + 11.8449i 0.228137 + 0.450274i
\(693\) −19.8051 + 29.8051i −0.752334 + 1.13220i
\(694\) 3.58708 32.7392i 0.136164 1.24276i
\(695\) 3.52894 + 17.7412i 0.133860 + 0.672962i
\(696\) −2.29302 + 28.3612i −0.0869167 + 1.07503i
\(697\) 38.2843 + 7.61522i 1.45012 + 0.288447i
\(698\) 22.0161 + 42.2973i 0.833321 + 1.60098i
\(699\) 9.75691 27.3790i 0.369040 1.03557i
\(700\) −24.9050 + 56.5865i −0.941320 + 2.13877i
\(701\) 21.2756 2.09547i 0.803570 0.0791447i 0.312111 0.950046i \(-0.398964\pi\)
0.491459 + 0.870901i \(0.336464\pi\)
\(702\) −20.7316 + 22.5490i −0.782464 + 0.851056i
\(703\) −37.8909 −1.42908
\(704\) 4.76469 28.8089i 0.179576 1.08578i
\(705\) 6.30408 0.943356i 0.237425 0.0355288i
\(706\) −2.06756 + 0.829993i −0.0778136 + 0.0312372i
\(707\) −2.07986 21.1172i −0.0782212 0.794193i
\(708\) −1.53752 2.68953i −0.0577837 0.101079i
\(709\) 15.7282 + 8.40692i 0.590686 + 0.315728i 0.739521 0.673134i \(-0.235052\pi\)
−0.148835 + 0.988862i \(0.547552\pi\)
\(710\) −9.49170 18.2355i −0.356217 0.684365i
\(711\) −0.102656 1.01567i −0.00384991 0.0380906i
\(712\) −6.09946 + 8.50926i −0.228587 + 0.318898i
\(713\) 4.05965 0.807514i 0.152035 0.0302417i
\(714\) 42.1717 1.66285i 1.57824 0.0622306i
\(715\) 44.7214 36.7019i 1.67248 1.37257i
\(716\) −8.39243 + 25.6307i −0.313640 + 0.957862i
\(717\) 4.86733 + 6.54533i 0.181774 + 0.244440i
\(718\) −0.771798 4.11520i −0.0288032 0.153578i
\(719\) −19.3378 8.00997i −0.721177 0.298721i −0.00825654 0.999966i \(-0.502628\pi\)
−0.712921 + 0.701244i \(0.752628\pi\)
\(720\) −1.88239 + 45.5912i −0.0701524 + 1.69908i
\(721\) 47.8524 19.8211i 1.78212 0.738177i
\(722\) −3.12445 4.78881i −0.116280 0.178221i
\(723\) 1.19194 8.10674i 0.0443286 0.301493i
\(724\) 1.60434 13.2957i 0.0596247 0.494131i
\(725\) −5.38495 + 54.6743i −0.199992 + 2.03055i
\(726\) 1.96850 5.33817i 0.0730580 0.198118i
\(727\) 1.40880 + 0.941333i 0.0522497 + 0.0349121i 0.581421 0.813603i \(-0.302497\pi\)
−0.529171 + 0.848515i \(0.677497\pi\)
\(728\) 23.4510 + 30.5709i 0.869153 + 1.13303i
\(729\) 2.44038 26.8895i 0.0903843 0.995907i
\(730\) −21.1918 + 25.2530i −0.784343 + 0.934655i
\(731\) −0.272956 0.899814i −0.0100956 0.0332808i
\(732\) 21.4939 43.1202i 0.794439 1.59377i
\(733\) 21.8357 + 17.9201i 0.806519 + 0.661893i 0.944489 0.328543i \(-0.106558\pi\)
−0.137970 + 0.990436i \(0.544058\pi\)
\(734\) −21.3460 0.233858i −0.787896 0.00863187i
\(735\) −19.4858 14.4131i −0.718745 0.531635i
\(736\) −2.85704 + 1.69043i −0.105312 + 0.0623100i
\(737\) −14.8799 + 14.8799i −0.548110 + 0.548110i
\(738\) −27.5770 15.0393i −1.01512 0.553606i
\(739\) 12.5769 + 10.3216i 0.462648 + 0.379686i 0.836646 0.547744i \(-0.184513\pi\)
−0.373998 + 0.927430i \(0.622013\pi\)
\(740\) 62.8449 40.0284i 2.31023 1.47147i
\(741\) −11.9704 25.2257i −0.439742 0.926691i
\(742\) 29.6650 2.59395i 1.08904 0.0952269i
\(743\) 27.8099 + 41.6205i 1.02025 + 1.52691i 0.839487 + 0.543380i \(0.182856\pi\)
0.180760 + 0.983527i \(0.442144\pi\)
\(744\) −34.0030 6.14711i −1.24661 0.225364i
\(745\) −12.4966 8.34994i −0.457839 0.305918i
\(746\) 12.1407 3.53808i 0.444503 0.129538i
\(747\) −3.14461 15.6006i −0.115055 0.570795i
\(748\) −37.0665 + 10.3629i −1.35529 + 0.378903i
\(749\) 7.87439 25.9584i 0.287724 0.948499i
\(750\) −2.43921 + 41.4604i −0.0890675 + 1.51392i
\(751\) 38.1724 15.8115i 1.39293 0.576971i 0.445024 0.895519i \(-0.353195\pi\)
0.947907 + 0.318548i \(0.103195\pi\)
\(752\) −1.32339 3.63811i −0.0482591 0.132668i
\(753\) −11.1690 + 44.8323i −0.407022 + 1.63378i
\(754\) 28.2580 + 19.3325i 1.02910 + 0.704049i
\(755\) 40.9572 21.8921i 1.49058 0.796734i
\(756\) −32.7900 8.84633i −1.19256 0.321738i
\(757\) −32.7917 + 26.9114i −1.19183 + 0.978113i −0.999995 0.00331323i \(-0.998945\pi\)
−0.191840 + 0.981426i \(0.561445\pi\)
\(758\) 23.4816 + 29.2603i 0.852891 + 1.06278i
\(759\) −3.49156 + 1.25434i −0.126736 + 0.0455295i
\(760\) −37.8843 17.1716i −1.37421 0.622879i
\(761\) 51.6502 + 10.2739i 1.87232 + 0.372427i 0.994337 0.106269i \(-0.0338905\pi\)
0.877980 + 0.478696i \(0.158891\pi\)
\(762\) −2.57338 + 16.2624i −0.0932237 + 0.589125i
\(763\) −16.2513 8.68651i −0.588337 0.314473i
\(764\) 21.5243 20.6011i 0.778721 0.745323i
\(765\) 55.5062 23.1578i 2.00683 0.837272i
\(766\) 29.7413 + 12.7027i 1.07460 + 0.458968i
\(767\) −3.72780 −0.134603
\(768\) 27.3629 4.38980i 0.987374 0.158403i
\(769\) 53.9114 1.94410 0.972048 0.234783i \(-0.0754378\pi\)
0.972048 + 0.234783i \(0.0754378\pi\)
\(770\) 58.9904 + 25.1952i 2.12587 + 0.907973i
\(771\) 7.34046 + 29.1467i 0.264360 + 1.04969i
\(772\) 24.1012 23.0675i 0.867420 0.830218i
\(773\) 2.18167 + 1.16613i 0.0784692 + 0.0419426i 0.510165 0.860077i \(-0.329584\pi\)
−0.431695