Properties

Label 585.2.bt.b.571.31
Level $585$
Weight $2$
Character 585.571
Analytic conductor $4.671$
Analytic rank $0$
Dimension $108$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 585 = 3^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 585.bt (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.67124851824\)
Analytic rank: \(0\)
Dimension: \(108\)
Relative dimension: \(54\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 571.31
Character \(\chi\) \(=\) 585.571
Dual form 585.2.bt.b.376.31

$q$-expansion

\(f(q)\) \(=\) \(q+(0.355151 - 0.205047i) q^{2} +(0.841866 + 1.51369i) q^{3} +(-0.915912 + 1.58641i) q^{4} +(0.866025 + 0.500000i) q^{5} +(0.609367 + 0.364968i) q^{6} +(0.661508 - 0.381922i) q^{7} +1.57141i q^{8} +(-1.58252 + 2.54865i) q^{9} +O(q^{10})\) \(q+(0.355151 - 0.205047i) q^{2} +(0.841866 + 1.51369i) q^{3} +(-0.915912 + 1.58641i) q^{4} +(0.866025 + 0.500000i) q^{5} +(0.609367 + 0.364968i) q^{6} +(0.661508 - 0.381922i) q^{7} +1.57141i q^{8} +(-1.58252 + 2.54865i) q^{9} +0.410093 q^{10} +(-0.384678 + 0.222094i) q^{11} +(-3.17240 - 0.0508663i) q^{12} +(0.944367 + 3.47968i) q^{13} +(0.156624 - 0.271280i) q^{14} +(-0.0277681 + 1.73183i) q^{15} +(-1.50961 - 2.61472i) q^{16} -1.99449 q^{17} +(-0.0394425 + 1.22965i) q^{18} -3.58544i q^{19} +(-1.58641 + 0.915912i) q^{20} +(1.13501 + 0.679791i) q^{21} +(-0.0910792 + 0.157754i) q^{22} +(0.803282 - 1.39133i) q^{23} +(-2.37862 + 1.32291i) q^{24} +(0.500000 + 0.866025i) q^{25} +(1.04889 + 1.04217i) q^{26} +(-5.19014 - 0.249828i) q^{27} +1.39923i q^{28} +(0.298185 + 0.516472i) q^{29} +(0.345244 + 0.620755i) q^{30} +(6.94569 + 4.01010i) q^{31} +(-3.79404 - 2.19049i) q^{32} +(-0.660028 - 0.395310i) q^{33} +(-0.708345 + 0.408963i) q^{34} +0.763843 q^{35} +(-2.59374 - 4.84486i) q^{36} +0.218284i q^{37} +(-0.735183 - 1.27338i) q^{38} +(-4.47213 + 4.35891i) q^{39} +(-0.785703 + 1.36088i) q^{40} +(0.971758 + 0.561045i) q^{41} +(0.542490 + 0.00869829i) q^{42} +(-0.412762 - 0.714925i) q^{43} -0.813673i q^{44} +(-2.64483 + 1.41594i) q^{45} -0.658842i q^{46} +(-3.55589 + 2.05299i) q^{47} +(2.68699 - 4.48633i) q^{48} +(-3.20827 + 5.55689i) q^{49} +(0.355151 + 0.205047i) q^{50} +(-1.67909 - 3.01904i) q^{51} +(-6.38514 - 1.68893i) q^{52} +5.08548 q^{53} +(-1.89451 + 0.975495i) q^{54} -0.444187 q^{55} +(0.600154 + 1.03950i) q^{56} +(5.42725 - 3.01846i) q^{57} +(0.211802 + 0.122284i) q^{58} +(-3.52561 - 2.03551i) q^{59} +(-2.72195 - 1.63025i) q^{60} +(1.88333 + 3.26202i) q^{61} +3.28903 q^{62} +(-0.0734659 + 2.29035i) q^{63} +4.24184 q^{64} +(-0.921994 + 3.48567i) q^{65} +(-0.315467 - 0.00505820i) q^{66} +(12.0106 + 6.93435i) q^{67} +(1.82677 - 3.16406i) q^{68} +(2.78229 + 0.0446113i) q^{69} +(0.271280 - 0.156624i) q^{70} -12.1545i q^{71} +(-4.00497 - 2.48679i) q^{72} -3.80995i q^{73} +(0.0447585 + 0.0775240i) q^{74} +(-0.889962 + 1.48592i) q^{75} +(5.68797 + 3.28395i) q^{76} +(-0.169645 + 0.293833i) q^{77} +(-0.694504 + 2.46507i) q^{78} +(4.87017 + 8.43538i) q^{79} -3.01922i q^{80} +(-3.99124 - 8.06660i) q^{81} +0.460162 q^{82} +(13.4267 - 7.75194i) q^{83} +(-2.11800 + 1.17796i) q^{84} +(-1.72728 - 0.997243i) q^{85} +(-0.293186 - 0.169271i) q^{86} +(-0.530747 + 0.886160i) q^{87} +(-0.348999 - 0.604485i) q^{88} -12.2951i q^{89} +(-0.648982 + 1.04519i) q^{90} +(1.95367 + 1.94116i) q^{91} +(1.47147 + 2.54866i) q^{92} +(-0.222706 + 13.8896i) q^{93} +(-0.841918 + 1.45825i) q^{94} +(1.79272 - 3.10508i) q^{95} +(0.121652 - 7.58710i) q^{96} +(12.3546 - 7.13294i) q^{97} +2.63138i q^{98} +(0.0427216 - 1.33188i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108 q - 6 q^{3} + 52 q^{4} - 14 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 108 q - 6 q^{3} + 52 q^{4} - 14 q^{9} - 8 q^{10} - 36 q^{12} - 4 q^{13} - 8 q^{14} - 64 q^{16} + 36 q^{17} + 24 q^{22} - 22 q^{23} + 54 q^{25} + 40 q^{26} + 48 q^{27} - 16 q^{29} + 20 q^{30} - 40 q^{35} - 76 q^{36} - 12 q^{38} + 26 q^{39} - 52 q^{42} - 6 q^{43} - 68 q^{48} + 58 q^{49} + 34 q^{51} + 22 q^{52} - 116 q^{53} + 24 q^{55} + 40 q^{56} + 18 q^{61} + 152 q^{62} - 216 q^{64} + 2 q^{65} - 72 q^{66} - 134 q^{69} + 32 q^{74} + 40 q^{77} - 34 q^{78} + 18 q^{79} + 34 q^{81} + 88 q^{82} + 60 q^{87} + 8 q^{90} + 16 q^{91} + 176 q^{92} - 76 q^{94} - 56 q^{95}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).

\(n\) \(326\) \(352\) \(496\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.355151 0.205047i 0.251130 0.144990i −0.369152 0.929369i \(-0.620352\pi\)
0.620282 + 0.784379i \(0.287018\pi\)
\(3\) 0.841866 + 1.51369i 0.486052 + 0.873930i
\(4\) −0.915912 + 1.58641i −0.457956 + 0.793203i
\(5\) 0.866025 + 0.500000i 0.387298 + 0.223607i
\(6\) 0.609367 + 0.364968i 0.248773 + 0.148997i
\(7\) 0.661508 0.381922i 0.250026 0.144353i −0.369750 0.929131i \(-0.620557\pi\)
0.619776 + 0.784779i \(0.287223\pi\)
\(8\) 1.57141i 0.555576i
\(9\) −1.58252 + 2.54865i −0.527508 + 0.849550i
\(10\) 0.410093 0.129683
\(11\) −0.384678 + 0.222094i −0.115985 + 0.0669638i −0.556870 0.830600i \(-0.687998\pi\)
0.440885 + 0.897563i \(0.354665\pi\)
\(12\) −3.17240 0.0508663i −0.915794 0.0146838i
\(13\) 0.944367 + 3.47968i 0.261920 + 0.965089i
\(14\) 0.156624 0.271280i 0.0418594 0.0725026i
\(15\) −0.0277681 + 1.73183i −0.00716970 + 0.447156i
\(16\) −1.50961 2.61472i −0.377403 0.653681i
\(17\) −1.99449 −0.483734 −0.241867 0.970309i \(-0.577760\pi\)
−0.241867 + 0.970309i \(0.577760\pi\)
\(18\) −0.0394425 + 1.22965i −0.00929669 + 0.289831i
\(19\) 3.58544i 0.822557i −0.911510 0.411279i \(-0.865082\pi\)
0.911510 0.411279i \(-0.134918\pi\)
\(20\) −1.58641 + 0.915912i −0.354731 + 0.204804i
\(21\) 1.13501 + 0.679791i 0.247680 + 0.148343i
\(22\) −0.0910792 + 0.157754i −0.0194181 + 0.0336332i
\(23\) 0.803282 1.39133i 0.167496 0.290112i −0.770043 0.637992i \(-0.779765\pi\)
0.937539 + 0.347881i \(0.113099\pi\)
\(24\) −2.37862 + 1.32291i −0.485534 + 0.270039i
\(25\) 0.500000 + 0.866025i 0.100000 + 0.173205i
\(26\) 1.04889 + 1.04217i 0.205704 + 0.204387i
\(27\) −5.19014 0.249828i −0.998844 0.0480793i
\(28\) 1.39923i 0.264429i
\(29\) 0.298185 + 0.516472i 0.0553716 + 0.0959064i 0.892383 0.451280i \(-0.149032\pi\)
−0.837011 + 0.547186i \(0.815699\pi\)
\(30\) 0.345244 + 0.620755i 0.0630326 + 0.113334i
\(31\) 6.94569 + 4.01010i 1.24748 + 0.720235i 0.970607 0.240671i \(-0.0773674\pi\)
0.276876 + 0.960906i \(0.410701\pi\)
\(32\) −3.79404 2.19049i −0.670697 0.387227i
\(33\) −0.660028 0.395310i −0.114896 0.0688146i
\(34\) −0.708345 + 0.408963i −0.121480 + 0.0701366i
\(35\) 0.763843 0.129113
\(36\) −2.59374 4.84486i −0.432291 0.807477i
\(37\) 0.218284i 0.0358857i 0.999839 + 0.0179429i \(0.00571170\pi\)
−0.999839 + 0.0179429i \(0.994288\pi\)
\(38\) −0.735183 1.27338i −0.119263 0.206569i
\(39\) −4.47213 + 4.35891i −0.716114 + 0.697983i
\(40\) −0.785703 + 1.36088i −0.124231 + 0.215174i
\(41\) 0.971758 + 0.561045i 0.151763 + 0.0876205i 0.573959 0.818884i \(-0.305407\pi\)
−0.422195 + 0.906505i \(0.638740\pi\)
\(42\) 0.542490 + 0.00869829i 0.0837081 + 0.00134218i
\(43\) −0.412762 0.714925i −0.0629456 0.109025i 0.832835 0.553521i \(-0.186716\pi\)
−0.895781 + 0.444496i \(0.853383\pi\)
\(44\) 0.813673i 0.122666i
\(45\) −2.64483 + 1.41594i −0.394268 + 0.211075i
\(46\) 0.658842i 0.0971409i
\(47\) −3.55589 + 2.05299i −0.518679 + 0.299460i −0.736394 0.676553i \(-0.763473\pi\)
0.217715 + 0.976012i \(0.430140\pi\)
\(48\) 2.68699 4.48633i 0.387834 0.647547i
\(49\) −3.20827 + 5.55689i −0.458325 + 0.793841i
\(50\) 0.355151 + 0.205047i 0.0502260 + 0.0289980i
\(51\) −1.67909 3.01904i −0.235120 0.422750i
\(52\) −6.38514 1.68893i −0.885460 0.234212i
\(53\) 5.08548 0.698544 0.349272 0.937021i \(-0.386429\pi\)
0.349272 + 0.937021i \(0.386429\pi\)
\(54\) −1.89451 + 0.975495i −0.257811 + 0.132748i
\(55\) −0.444187 −0.0598942
\(56\) 0.600154 + 1.03950i 0.0801989 + 0.138909i
\(57\) 5.42725 3.01846i 0.718857 0.399805i
\(58\) 0.211802 + 0.122284i 0.0278109 + 0.0160566i
\(59\) −3.52561 2.03551i −0.458996 0.265001i 0.252626 0.967564i \(-0.418706\pi\)
−0.711622 + 0.702563i \(0.752039\pi\)
\(60\) −2.72195 1.63025i −0.351402 0.210465i
\(61\) 1.88333 + 3.26202i 0.241136 + 0.417659i 0.961038 0.276416i \(-0.0891468\pi\)
−0.719902 + 0.694075i \(0.755814\pi\)
\(62\) 3.28903 0.417707
\(63\) −0.0734659 + 2.29035i −0.00925583 + 0.288557i
\(64\) 4.24184 0.530230
\(65\) −0.921994 + 3.48567i −0.114359 + 0.432345i
\(66\) −0.315467 0.00505820i −0.0388313 0.000622621i
\(67\) 12.0106 + 6.93435i 1.46733 + 0.847165i 0.999331 0.0365620i \(-0.0116407\pi\)
0.468002 + 0.883727i \(0.344974\pi\)
\(68\) 1.82677 3.16406i 0.221529 0.383699i
\(69\) 2.78229 + 0.0446113i 0.334949 + 0.00537057i
\(70\) 0.271280 0.156624i 0.0324242 0.0187201i
\(71\) 12.1545i 1.44248i −0.692687 0.721238i \(-0.743573\pi\)
0.692687 0.721238i \(-0.256427\pi\)
\(72\) −4.00497 2.48679i −0.471990 0.293070i
\(73\) 3.80995i 0.445921i −0.974827 0.222961i \(-0.928428\pi\)
0.974827 0.222961i \(-0.0715721\pi\)
\(74\) 0.0447585 + 0.0775240i 0.00520307 + 0.00901198i
\(75\) −0.889962 + 1.48592i −0.102764 + 0.171580i
\(76\) 5.68797 + 3.28395i 0.652455 + 0.376695i
\(77\) −0.169645 + 0.293833i −0.0193328 + 0.0334854i
\(78\) −0.694504 + 2.46507i −0.0786371 + 0.279114i
\(79\) 4.87017 + 8.43538i 0.547937 + 0.949055i 0.998416 + 0.0562674i \(0.0179199\pi\)
−0.450479 + 0.892787i \(0.648747\pi\)
\(80\) 3.01922i 0.337559i
\(81\) −3.99124 8.06660i −0.443472 0.896288i
\(82\) 0.460162 0.0508164
\(83\) 13.4267 7.75194i 1.47378 0.850885i 0.474213 0.880410i \(-0.342733\pi\)
0.999564 + 0.0295248i \(0.00939940\pi\)
\(84\) −2.11800 + 1.17796i −0.231092 + 0.128526i
\(85\) −1.72728 0.997243i −0.187349 0.108166i
\(86\) −0.293186 0.169271i −0.0316151 0.0182530i
\(87\) −0.530747 + 0.886160i −0.0569020 + 0.0950064i
\(88\) −0.348999 0.604485i −0.0372035 0.0644383i
\(89\) 12.2951i 1.30328i −0.758527 0.651641i \(-0.774081\pi\)
0.758527 0.651641i \(-0.225919\pi\)
\(90\) −0.648982 + 1.04519i −0.0684087 + 0.110172i
\(91\) 1.95367 + 1.94116i 0.204800 + 0.203489i
\(92\) 1.47147 + 2.54866i 0.153412 + 0.265717i
\(93\) −0.222706 + 13.8896i −0.0230935 + 1.44028i
\(94\) −0.841918 + 1.45825i −0.0868372 + 0.150407i
\(95\) 1.79272 3.10508i 0.183929 0.318575i
\(96\) 0.121652 7.58710i 0.0124160 0.774355i
\(97\) 12.3546 7.13294i 1.25442 0.724241i 0.282437 0.959286i \(-0.408857\pi\)
0.971984 + 0.235045i \(0.0755238\pi\)
\(98\) 2.63138i 0.265810i
\(99\) 0.0427216 1.33188i 0.00429369 0.133859i
\(100\) −1.83182 −0.183182
\(101\) 2.17351 + 3.76463i 0.216272 + 0.374594i 0.953665 0.300869i \(-0.0972768\pi\)
−0.737393 + 0.675464i \(0.763944\pi\)
\(102\) −1.21537 0.727923i −0.120340 0.0720751i
\(103\) −3.41027 + 5.90676i −0.336024 + 0.582010i −0.983681 0.179922i \(-0.942416\pi\)
0.647657 + 0.761932i \(0.275749\pi\)
\(104\) −5.46799 + 1.48398i −0.536180 + 0.145517i
\(105\) 0.643054 + 1.15622i 0.0627556 + 0.112836i
\(106\) 1.80611 1.04276i 0.175425 0.101282i
\(107\) 13.2610 1.28199 0.640994 0.767546i \(-0.278522\pi\)
0.640994 + 0.767546i \(0.278522\pi\)
\(108\) 5.15004 8.00485i 0.495563 0.770267i
\(109\) 5.04666i 0.483382i −0.970353 0.241691i \(-0.922298\pi\)
0.970353 0.241691i \(-0.0777020\pi\)
\(110\) −0.157754 + 0.0910792i −0.0150412 + 0.00868406i
\(111\) −0.330415 + 0.183766i −0.0313616 + 0.0174423i
\(112\) −1.99724 1.15311i −0.188721 0.108958i
\(113\) 5.92692 10.2657i 0.557557 0.965718i −0.440142 0.897928i \(-0.645072\pi\)
0.997700 0.0677897i \(-0.0215947\pi\)
\(114\) 1.30857 2.18485i 0.122559 0.204630i
\(115\) 1.39133 0.803282i 0.129742 0.0749065i
\(116\) −1.09244 −0.101431
\(117\) −10.3630 3.09981i −0.958057 0.286577i
\(118\) −1.66950 −0.153690
\(119\) −1.31937 + 0.761737i −0.120946 + 0.0698283i
\(120\) −2.72140 0.0436350i −0.248429 0.00398331i
\(121\) −5.40135 + 9.35541i −0.491032 + 0.850492i
\(122\) 1.33773 + 0.772341i 0.121113 + 0.0699245i
\(123\) −0.0311583 + 1.94327i −0.00280945 + 0.175218i
\(124\) −12.7233 + 7.34579i −1.14258 + 0.659671i
\(125\) 1.00000i 0.0894427i
\(126\) 0.443538 + 0.828485i 0.0395135 + 0.0738074i
\(127\) 7.14987 0.634449 0.317224 0.948351i \(-0.397249\pi\)
0.317224 + 0.948351i \(0.397249\pi\)
\(128\) 9.09457 5.25075i 0.803854 0.464105i
\(129\) 0.734685 1.22667i 0.0646854 0.108002i
\(130\) 0.387279 + 1.42699i 0.0339666 + 0.125156i
\(131\) 2.96349 5.13292i 0.258921 0.448465i −0.707032 0.707182i \(-0.749966\pi\)
0.965953 + 0.258717i \(0.0832996\pi\)
\(132\) 1.23165 0.685004i 0.107201 0.0596219i
\(133\) −1.36936 2.37180i −0.118738 0.205661i
\(134\) 5.68746 0.491322
\(135\) −4.36988 2.81143i −0.376100 0.241969i
\(136\) 3.13415i 0.268751i
\(137\) −7.89240 + 4.55668i −0.674293 + 0.389303i −0.797701 0.603053i \(-0.793951\pi\)
0.123408 + 0.992356i \(0.460618\pi\)
\(138\) 0.997283 0.554657i 0.0848944 0.0472155i
\(139\) −9.30433 + 16.1156i −0.789183 + 1.36690i 0.137285 + 0.990532i \(0.456162\pi\)
−0.926468 + 0.376373i \(0.877171\pi\)
\(140\) −0.699613 + 1.21177i −0.0591281 + 0.102413i
\(141\) −6.10117 3.65417i −0.513812 0.307737i
\(142\) −2.49225 4.31670i −0.209145 0.362249i
\(143\) −1.13609 1.12882i −0.0950048 0.0943964i
\(144\) 9.05301 + 0.290387i 0.754418 + 0.0241989i
\(145\) 0.596370i 0.0495259i
\(146\) −0.781218 1.35311i −0.0646541 0.111984i
\(147\) −11.1124 0.178175i −0.916531 0.0146957i
\(148\) −0.346288 0.199929i −0.0284647 0.0164341i
\(149\) −13.2410 7.64470i −1.08475 0.626279i −0.152574 0.988292i \(-0.548756\pi\)
−0.932173 + 0.362014i \(0.882089\pi\)
\(150\) −0.0113875 + 0.710211i −0.000929788 + 0.0579885i
\(151\) −6.89403 + 3.98027i −0.561029 + 0.323910i −0.753558 0.657381i \(-0.771664\pi\)
0.192530 + 0.981291i \(0.438331\pi\)
\(152\) 5.63419 0.456993
\(153\) 3.15632 5.08325i 0.255173 0.410956i
\(154\) 0.139140i 0.0112123i
\(155\) 4.01010 + 6.94569i 0.322099 + 0.557891i
\(156\) −2.81892 11.0870i −0.225694 0.887669i
\(157\) 6.94705 12.0326i 0.554435 0.960310i −0.443512 0.896268i \(-0.646268\pi\)
0.997947 0.0640415i \(-0.0203990\pi\)
\(158\) 3.45930 + 1.99722i 0.275207 + 0.158891i
\(159\) 4.28129 + 7.69784i 0.339528 + 0.610478i
\(160\) −2.19049 3.79404i −0.173173 0.299945i
\(161\) 1.22716i 0.0967140i
\(162\) −3.07153 2.04647i −0.241322 0.160786i
\(163\) 12.4121i 0.972194i −0.873905 0.486097i \(-0.838420\pi\)
0.873905 0.486097i \(-0.161580\pi\)
\(164\) −1.78009 + 1.02774i −0.139002 + 0.0802526i
\(165\) −0.373946 0.672363i −0.0291117 0.0523434i
\(166\) 3.17902 5.50622i 0.246740 0.427366i
\(167\) −0.855330 0.493825i −0.0661874 0.0382133i 0.466541 0.884500i \(-0.345500\pi\)
−0.532728 + 0.846286i \(0.678833\pi\)
\(168\) −1.06823 + 1.78356i −0.0824156 + 0.137605i
\(169\) −11.2163 + 6.57219i −0.862795 + 0.505553i
\(170\) −0.817926 −0.0627321
\(171\) 9.13804 + 5.67404i 0.698804 + 0.433905i
\(172\) 1.51221 0.115305
\(173\) −11.8687 20.5572i −0.902362 1.56294i −0.824419 0.565979i \(-0.808498\pi\)
−0.0779430 0.996958i \(-0.524835\pi\)
\(174\) −0.00679119 + 0.423549i −0.000514839 + 0.0321092i
\(175\) 0.661508 + 0.381922i 0.0500053 + 0.0288706i
\(176\) 1.16143 + 0.670551i 0.0875459 + 0.0505446i
\(177\) 0.113045 7.05032i 0.00849698 0.529935i
\(178\) −2.52108 4.36664i −0.188963 0.327293i
\(179\) −14.4659 −1.08123 −0.540616 0.841270i \(-0.681809\pi\)
−0.540616 + 0.841270i \(0.681809\pi\)
\(180\) 0.176183 5.49265i 0.0131319 0.409398i
\(181\) 12.7677 0.949018 0.474509 0.880251i \(-0.342626\pi\)
0.474509 + 0.880251i \(0.342626\pi\)
\(182\) 1.09188 + 0.288812i 0.0809353 + 0.0214082i
\(183\) −3.35218 + 5.59696i −0.247800 + 0.413739i
\(184\) 2.18634 + 1.26228i 0.161179 + 0.0930567i
\(185\) −0.109142 + 0.189040i −0.00802430 + 0.0138985i
\(186\) 2.76892 + 4.97858i 0.203027 + 0.365047i
\(187\) 0.767234 0.442963i 0.0561057 0.0323927i
\(188\) 7.52143i 0.548557i
\(189\) −3.52873 + 1.81696i −0.256678 + 0.132165i
\(190\) 1.47037i 0.106672i
\(191\) 3.92931 + 6.80577i 0.284315 + 0.492448i 0.972443 0.233141i \(-0.0749004\pi\)
−0.688128 + 0.725590i \(0.741567\pi\)
\(192\) 3.57106 + 6.42083i 0.257719 + 0.463384i
\(193\) 1.16373 + 0.671881i 0.0837672 + 0.0483630i 0.541299 0.840830i \(-0.317933\pi\)
−0.457531 + 0.889194i \(0.651266\pi\)
\(194\) 2.92517 5.06655i 0.210015 0.363757i
\(195\) −6.05243 + 1.53886i −0.433424 + 0.110200i
\(196\) −5.87699 10.1792i −0.419785 0.727089i
\(197\) 13.7449i 0.979283i 0.871924 + 0.489642i \(0.162872\pi\)
−0.871924 + 0.489642i \(0.837128\pi\)
\(198\) −0.257924 0.481778i −0.0183299 0.0342385i
\(199\) 14.2438 1.00972 0.504858 0.863202i \(-0.331545\pi\)
0.504858 + 0.863202i \(0.331545\pi\)
\(200\) −1.36088 + 0.785703i −0.0962286 + 0.0555576i
\(201\) −0.385108 + 24.0182i −0.0271634 + 1.69411i
\(202\) 1.54385 + 0.891341i 0.108625 + 0.0627146i
\(203\) 0.394503 + 0.227767i 0.0276887 + 0.0159861i
\(204\) 6.32731 + 0.101452i 0.443001 + 0.00710307i
\(205\) 0.561045 + 0.971758i 0.0391851 + 0.0678705i
\(206\) 2.79706i 0.194880i
\(207\) 2.27479 + 4.24909i 0.158109 + 0.295332i
\(208\) 7.67277 7.72223i 0.532011 0.535440i
\(209\) 0.796304 + 1.37924i 0.0550815 + 0.0954040i
\(210\) 0.465461 + 0.278778i 0.0321199 + 0.0192375i
\(211\) −2.36532 + 4.09686i −0.162836 + 0.282040i −0.935885 0.352307i \(-0.885397\pi\)
0.773049 + 0.634346i \(0.218731\pi\)
\(212\) −4.65785 + 8.06763i −0.319902 + 0.554087i
\(213\) 18.3982 10.2325i 1.26062 0.701118i
\(214\) 4.70966 2.71912i 0.321946 0.185875i
\(215\) 0.825524i 0.0563003i
\(216\) 0.392581 8.15582i 0.0267117 0.554933i
\(217\) 6.12617 0.415872
\(218\) −1.03480 1.79233i −0.0700855 0.121392i
\(219\) 5.76709 3.20747i 0.389704 0.216741i
\(220\) 0.406836 0.704661i 0.0274289 0.0475083i
\(221\) −1.88353 6.94017i −0.126700 0.466847i
\(222\) −0.0796668 + 0.133015i −0.00534688 + 0.00892741i
\(223\) 19.1394 11.0502i 1.28167 0.739973i 0.304517 0.952507i \(-0.401505\pi\)
0.977154 + 0.212534i \(0.0681715\pi\)
\(224\) −3.34638 −0.223589
\(225\) −2.99846 0.0961793i −0.199897 0.00641195i
\(226\) 4.86118i 0.323361i
\(227\) −15.6911 + 9.05927i −1.04146 + 0.601285i −0.920245 0.391342i \(-0.872011\pi\)
−0.121211 + 0.992627i \(0.538678\pi\)
\(228\) −0.182378 + 11.3745i −0.0120783 + 0.753293i
\(229\) −23.5892 13.6192i −1.55882 0.899985i −0.997370 0.0724733i \(-0.976911\pi\)
−0.561449 0.827511i \(-0.689756\pi\)
\(230\) 0.329421 0.570574i 0.0217214 0.0376225i
\(231\) −0.587591 0.00942144i −0.0386607 0.000619885i
\(232\) −0.811587 + 0.468570i −0.0532833 + 0.0307631i
\(233\) −7.19231 −0.471184 −0.235592 0.971852i \(-0.575703\pi\)
−0.235592 + 0.971852i \(0.575703\pi\)
\(234\) −4.31603 + 1.02399i −0.282148 + 0.0669405i
\(235\) −4.10598 −0.267845
\(236\) 6.45830 3.72870i 0.420400 0.242718i
\(237\) −8.66853 + 14.4734i −0.563082 + 0.940148i
\(238\) −0.312384 + 0.541064i −0.0202488 + 0.0350720i
\(239\) 20.5740 + 11.8784i 1.33082 + 0.768352i 0.985426 0.170104i \(-0.0544104\pi\)
0.345398 + 0.938456i \(0.387744\pi\)
\(240\) 4.57017 2.54178i 0.295003 0.164071i
\(241\) −7.56313 + 4.36658i −0.487184 + 0.281276i −0.723406 0.690423i \(-0.757424\pi\)
0.236221 + 0.971699i \(0.424091\pi\)
\(242\) 4.43012i 0.284779i
\(243\) 8.85024 12.8325i 0.567743 0.823206i
\(244\) −6.89985 −0.441718
\(245\) −5.55689 + 3.20827i −0.355017 + 0.204969i
\(246\) 0.387395 + 0.696543i 0.0246994 + 0.0444099i
\(247\) 12.4762 3.38598i 0.793841 0.215444i
\(248\) −6.30149 + 10.9145i −0.400145 + 0.693072i
\(249\) 23.0376 + 13.7979i 1.45995 + 0.874404i
\(250\) 0.205047 + 0.355151i 0.0129683 + 0.0224617i
\(251\) −2.37245 −0.149748 −0.0748739 0.997193i \(-0.523855\pi\)
−0.0748739 + 0.997193i \(0.523855\pi\)
\(252\) −3.56614 2.21431i −0.224646 0.139488i
\(253\) 0.713616i 0.0448646i
\(254\) 2.53929 1.46606i 0.159329 0.0919887i
\(255\) 0.0553832 3.45411i 0.00346823 0.216305i
\(256\) −2.08854 + 3.61745i −0.130534 + 0.226091i
\(257\) 0.973773 1.68662i 0.0607423 0.105209i −0.834055 0.551681i \(-0.813987\pi\)
0.894797 + 0.446472i \(0.147320\pi\)
\(258\) 0.00940068 0.586297i 0.000585261 0.0365012i
\(259\) 0.0833675 + 0.144397i 0.00518021 + 0.00897238i
\(260\) −4.68523 4.65523i −0.290566 0.288705i
\(261\) −1.78819 0.0573585i −0.110686 0.00355040i
\(262\) 2.43062i 0.150164i
\(263\) −5.16187 8.94061i −0.318294 0.551302i 0.661838 0.749647i \(-0.269777\pi\)
−0.980132 + 0.198345i \(0.936443\pi\)
\(264\) 0.621192 1.03717i 0.0382317 0.0638336i
\(265\) 4.40415 + 2.54274i 0.270545 + 0.156199i
\(266\) −0.972659 0.561565i −0.0596375 0.0344317i
\(267\) 18.6110 10.3509i 1.13898 0.633463i
\(268\) −22.0014 + 12.7025i −1.34395 + 0.775929i
\(269\) −29.9938 −1.82875 −0.914377 0.404864i \(-0.867319\pi\)
−0.914377 + 0.404864i \(0.867319\pi\)
\(270\) −2.12844 0.102453i −0.129533 0.00623507i
\(271\) 9.71520i 0.590156i 0.955473 + 0.295078i \(0.0953457\pi\)
−0.955473 + 0.295078i \(0.904654\pi\)
\(272\) 3.01090 + 5.21503i 0.182563 + 0.316208i
\(273\) −1.29359 + 4.59145i −0.0782915 + 0.277887i
\(274\) −1.86866 + 3.23662i −0.112890 + 0.195531i
\(275\) −0.384678 0.222094i −0.0231969 0.0133928i
\(276\) −2.61911 + 4.37299i −0.157652 + 0.263223i
\(277\) −1.76433 3.05592i −0.106009 0.183612i 0.808141 0.588989i \(-0.200474\pi\)
−0.914150 + 0.405376i \(0.867140\pi\)
\(278\) 7.63129i 0.457694i
\(279\) −21.2121 + 11.3561i −1.26993 + 0.679871i
\(280\) 1.20031i 0.0717321i
\(281\) −10.2662 + 5.92722i −0.612433 + 0.353588i −0.773917 0.633287i \(-0.781705\pi\)
0.161484 + 0.986875i \(0.448372\pi\)
\(282\) −2.91612 0.0467570i −0.173652 0.00278434i
\(283\) −2.73202 + 4.73201i −0.162402 + 0.281289i −0.935730 0.352718i \(-0.885257\pi\)
0.773328 + 0.634007i \(0.218591\pi\)
\(284\) 19.2820 + 11.1325i 1.14418 + 0.660591i
\(285\) 6.20937 + 0.0995611i 0.367811 + 0.00589749i
\(286\) −0.634945 0.167949i −0.0375451 0.00993102i
\(287\) 0.857101 0.0505930
\(288\) 11.5869 6.20318i 0.682767 0.365526i
\(289\) −13.0220 −0.766001
\(290\) 0.122284 + 0.211802i 0.00718075 + 0.0124374i
\(291\) 21.1980 + 12.6961i 1.24265 + 0.744258i
\(292\) 6.04413 + 3.48958i 0.353706 + 0.204212i
\(293\) 9.54928 + 5.51328i 0.557875 + 0.322089i 0.752292 0.658830i \(-0.228948\pi\)
−0.194417 + 0.980919i \(0.562282\pi\)
\(294\) −3.98310 + 2.21527i −0.232299 + 0.129197i
\(295\) −2.03551 3.52561i −0.118512 0.205269i
\(296\) −0.343013 −0.0199373
\(297\) 2.05202 1.05660i 0.119070 0.0613099i
\(298\) −6.27009 −0.363216
\(299\) 5.59996 + 1.48124i 0.323854 + 0.0856625i
\(300\) −1.54215 2.77282i −0.0890361 0.160089i
\(301\) −0.546090 0.315285i −0.0314761 0.0181728i
\(302\) −1.63228 + 2.82720i −0.0939274 + 0.162687i
\(303\) −3.86868 + 6.45933i −0.222250 + 0.371079i
\(304\) −9.37494 + 5.41263i −0.537690 + 0.310435i
\(305\) 3.76666i 0.215678i
\(306\) 0.0786675 2.45252i 0.00449712 0.140201i
\(307\) 5.83757i 0.333168i 0.986027 + 0.166584i \(0.0532736\pi\)
−0.986027 + 0.166584i \(0.946726\pi\)
\(308\) −0.310759 0.538251i −0.0177072 0.0306697i
\(309\) −11.8120 0.189394i −0.671961 0.0107742i
\(310\) 2.84838 + 1.64451i 0.161777 + 0.0934022i
\(311\) −6.41979 + 11.1194i −0.364033 + 0.630523i −0.988620 0.150432i \(-0.951934\pi\)
0.624588 + 0.780955i \(0.285267\pi\)
\(312\) −6.84961 7.02753i −0.387783 0.397856i
\(313\) 0.0950885 + 0.164698i 0.00537472 + 0.00930929i 0.868700 0.495338i \(-0.164956\pi\)
−0.863326 + 0.504647i \(0.831622\pi\)
\(314\) 5.69788i 0.321550i
\(315\) −1.20880 + 1.94677i −0.0681081 + 0.109688i
\(316\) −17.8426 −1.00372
\(317\) 7.66153 4.42339i 0.430314 0.248442i −0.269166 0.963094i \(-0.586748\pi\)
0.699481 + 0.714652i \(0.253415\pi\)
\(318\) 3.09892 + 1.85603i 0.173779 + 0.104081i
\(319\) −0.229410 0.132450i −0.0128445 0.00741578i
\(320\) 3.67354 + 2.12092i 0.205357 + 0.118563i
\(321\) 11.1640 + 20.0731i 0.623113 + 1.12037i
\(322\) −0.251626 0.435829i −0.0140226 0.0242878i
\(323\) 7.15112i 0.397899i
\(324\) 16.4525 + 1.05656i 0.914029 + 0.0586976i
\(325\) −2.54131 + 2.55769i −0.140966 + 0.141875i
\(326\) −2.54507 4.40819i −0.140958 0.244147i
\(327\) 7.63908 4.24861i 0.422442 0.234949i
\(328\) −0.881629 + 1.52703i −0.0486798 + 0.0843159i
\(329\) −1.56816 + 2.71614i −0.0864556 + 0.149746i
\(330\) −0.270673 0.162114i −0.0149001 0.00892408i
\(331\) 5.81280 3.35602i 0.319500 0.184464i −0.331669 0.943396i \(-0.607612\pi\)
0.651170 + 0.758932i \(0.274279\pi\)
\(332\) 28.4004i 1.55867i
\(333\) −0.556331 0.345440i −0.0304867 0.0189300i
\(334\) −0.405029 −0.0221622
\(335\) 6.93435 + 12.0106i 0.378864 + 0.656211i
\(336\) 0.0640393 3.99396i 0.00349363 0.217889i
\(337\) 3.79578 6.57448i 0.206769 0.358135i −0.743926 0.668262i \(-0.767038\pi\)
0.950695 + 0.310128i \(0.100372\pi\)
\(338\) −2.63589 + 4.63400i −0.143374 + 0.252056i
\(339\) 20.5288 + 0.329159i 1.11497 + 0.0178775i
\(340\) 3.16406 1.82677i 0.171595 0.0990707i
\(341\) −3.56247 −0.192919
\(342\) 4.40883 + 0.141419i 0.238402 + 0.00764706i
\(343\) 10.2481i 0.553347i
\(344\) 1.12344 0.648617i 0.0605717 0.0349711i
\(345\) 2.38723 + 1.42978i 0.128524 + 0.0769769i
\(346\) −8.43039 4.86729i −0.453220 0.261667i
\(347\) −8.64183 + 14.9681i −0.463918 + 0.803529i −0.999152 0.0411747i \(-0.986890\pi\)
0.535234 + 0.844704i \(0.320223\pi\)
\(348\) −0.919692 1.65362i −0.0493007 0.0886436i
\(349\) −10.4484 + 6.03237i −0.559289 + 0.322905i −0.752860 0.658181i \(-0.771326\pi\)
0.193571 + 0.981086i \(0.437993\pi\)
\(350\) 0.313247 0.0167438
\(351\) −4.03208 18.2960i −0.215217 0.976566i
\(352\) 1.94597 0.103721
\(353\) −10.5227 + 6.07527i −0.560066 + 0.323354i −0.753172 0.657824i \(-0.771477\pi\)
0.193106 + 0.981178i \(0.438144\pi\)
\(354\) −1.40550 2.52711i −0.0747014 0.134314i
\(355\) 6.07726 10.5261i 0.322548 0.558669i
\(356\) 19.5051 + 11.2613i 1.03377 + 0.596846i
\(357\) −2.26377 1.35583i −0.119811 0.0717584i
\(358\) −5.13758 + 2.96618i −0.271530 + 0.156768i
\(359\) 0.257324i 0.0135810i 0.999977 + 0.00679052i \(0.00216151\pi\)
−0.999977 + 0.00679052i \(0.997838\pi\)
\(360\) −2.22501 4.15610i −0.117268 0.219046i
\(361\) 6.14460 0.323400
\(362\) 4.53448 2.61798i 0.238327 0.137598i
\(363\) −18.7084 0.299971i −0.981937 0.0157444i
\(364\) −4.86886 + 1.32138i −0.255197 + 0.0692593i
\(365\) 1.90498 3.29952i 0.0997110 0.172705i
\(366\) −0.0428929 + 2.67512i −0.00224205 + 0.139831i
\(367\) −7.37634 12.7762i −0.385042 0.666912i 0.606733 0.794906i \(-0.292480\pi\)
−0.991775 + 0.127993i \(0.959146\pi\)
\(368\) −4.85058 −0.252854
\(369\) −2.96774 + 1.58881i −0.154494 + 0.0827100i
\(370\) 0.0895170i 0.00465377i
\(371\) 3.36408 1.94225i 0.174654 0.100837i
\(372\) −21.8306 13.0749i −1.13186 0.677905i
\(373\) 13.1782 22.8252i 0.682339 1.18185i −0.291926 0.956441i \(-0.594296\pi\)
0.974265 0.225405i \(-0.0723705\pi\)
\(374\) 0.181656 0.314638i 0.00939322 0.0162695i
\(375\) −1.51369 + 0.841866i −0.0781667 + 0.0434738i
\(376\) −3.22608 5.58774i −0.166372 0.288166i
\(377\) −1.51556 + 1.52533i −0.0780553 + 0.0785584i
\(378\) −0.880672 + 1.36885i −0.0452969 + 0.0704062i
\(379\) 20.4293i 1.04938i −0.851293 0.524691i \(-0.824181\pi\)
0.851293 0.524691i \(-0.175819\pi\)
\(380\) 3.28395 + 5.68797i 0.168463 + 0.291787i
\(381\) 6.01924 + 10.8227i 0.308375 + 0.554464i
\(382\) 2.79100 + 1.61139i 0.142800 + 0.0824457i
\(383\) −32.6742 18.8644i −1.66957 0.963928i −0.967868 0.251459i \(-0.919090\pi\)
−0.701704 0.712469i \(-0.747577\pi\)
\(384\) 15.6044 + 9.34594i 0.796310 + 0.476933i
\(385\) −0.293833 + 0.169645i −0.0149751 + 0.00864590i
\(386\) 0.551068 0.0280486
\(387\) 2.47530 + 0.0793983i 0.125827 + 0.00403604i
\(388\) 26.1326i 1.32668i
\(389\) −16.3053 28.2416i −0.826712 1.43191i −0.900604 0.434640i \(-0.856875\pi\)
0.0738923 0.997266i \(-0.476458\pi\)
\(390\) −1.83399 + 1.78756i −0.0928678 + 0.0905166i
\(391\) −1.60214 + 2.77498i −0.0810235 + 0.140337i
\(392\) −8.73213 5.04150i −0.441039 0.254634i
\(393\) 10.2645 + 0.164581i 0.517776 + 0.00830203i
\(394\) 2.81835 + 4.88152i 0.141986 + 0.245927i
\(395\) 9.74034i 0.490090i
\(396\) 2.07377 + 1.28766i 0.104211 + 0.0647071i
\(397\) 19.0703i 0.957113i −0.878057 0.478556i \(-0.841160\pi\)
0.878057 0.478556i \(-0.158840\pi\)
\(398\) 5.05870 2.92064i 0.253570 0.146399i
\(399\) 2.43735 4.06952i 0.122020 0.203731i
\(400\) 1.50961 2.61472i 0.0754806 0.130736i
\(401\) 21.4147 + 12.3638i 1.06940 + 0.617417i 0.928017 0.372539i \(-0.121513\pi\)
0.141380 + 0.989955i \(0.454846\pi\)
\(402\) 4.78808 + 8.60906i 0.238808 + 0.429381i
\(403\) −7.39457 + 27.9558i −0.368350 + 1.39258i
\(404\) −7.96296 −0.396172
\(405\) 0.576779 8.98150i 0.0286604 0.446294i
\(406\) 0.186811 0.00927129
\(407\) −0.0484796 0.0839691i −0.00240304 0.00416220i
\(408\) 4.74413 2.63853i 0.234870 0.130627i
\(409\) −4.97619 2.87301i −0.246057 0.142061i 0.371900 0.928273i \(-0.378706\pi\)
−0.617957 + 0.786212i \(0.712040\pi\)
\(410\) 0.398512 + 0.230081i 0.0196811 + 0.0113629i
\(411\) −13.5417 8.11054i −0.667965 0.400064i
\(412\) −6.24701 10.8201i −0.307768 0.533070i
\(413\) −3.10963 −0.153015
\(414\) 1.67916 + 1.04263i 0.0825261 + 0.0512426i
\(415\) 15.5039 0.761055
\(416\) 4.03923 15.2707i 0.198040 0.748705i
\(417\) −32.2270 0.516728i −1.57816 0.0253043i
\(418\) 0.565617 + 0.326559i 0.0276652 + 0.0159725i
\(419\) 3.75989 6.51233i 0.183683 0.318148i −0.759449 0.650567i \(-0.774531\pi\)
0.943132 + 0.332419i \(0.107865\pi\)
\(420\) −2.42322 0.0388539i −0.118241 0.00189588i
\(421\) −16.3791 + 9.45649i −0.798270 + 0.460881i −0.842866 0.538124i \(-0.819133\pi\)
0.0445961 + 0.999005i \(0.485800\pi\)
\(422\) 1.94001i 0.0944381i
\(423\) 0.394911 12.3116i 0.0192012 0.598611i
\(424\) 7.99135i 0.388094i
\(425\) −0.997243 1.72728i −0.0483734 0.0837852i
\(426\) 4.43601 7.40657i 0.214925 0.358850i
\(427\) 2.49167 + 1.43857i 0.120580 + 0.0696172i
\(428\) −12.1459 + 21.0373i −0.587094 + 1.01688i
\(429\) 0.752243 2.67001i 0.0363186 0.128909i
\(430\) −0.169271 0.293186i −0.00816297 0.0141387i
\(431\) 7.12386i 0.343144i −0.985172 0.171572i \(-0.945115\pi\)
0.985172 0.171572i \(-0.0548847\pi\)
\(432\) 7.18187 + 13.9479i 0.345538 + 0.671070i
\(433\) −5.14134 −0.247077 −0.123538 0.992340i \(-0.539424\pi\)
−0.123538 + 0.992340i \(0.539424\pi\)
\(434\) 2.17572 1.25615i 0.104438 0.0602972i
\(435\) −0.902720 + 0.502064i −0.0432821 + 0.0240721i
\(436\) 8.00604 + 4.62229i 0.383420 + 0.221368i
\(437\) −4.98852 2.88012i −0.238633 0.137775i
\(438\) 1.39051 2.32166i 0.0664411 0.110933i
\(439\) −6.34688 10.9931i −0.302920 0.524673i 0.673876 0.738844i \(-0.264628\pi\)
−0.976796 + 0.214172i \(0.931295\pi\)
\(440\) 0.697999i 0.0332758i
\(441\) −9.08541 16.9707i −0.432639 0.808127i
\(442\) −2.09200 2.07860i −0.0995062 0.0988690i
\(443\) 15.7797 + 27.3312i 0.749715 + 1.29854i 0.947959 + 0.318392i \(0.103143\pi\)
−0.198244 + 0.980153i \(0.563524\pi\)
\(444\) 0.0111033 0.692486i 0.000526941 0.0328639i
\(445\) 6.14757 10.6479i 0.291423 0.504759i
\(446\) 4.53160 7.84896i 0.214577 0.371659i
\(447\) 0.424558 26.4786i 0.0200809 1.25240i
\(448\) 2.80601 1.62005i 0.132571 0.0765401i
\(449\) 9.40266i 0.443739i −0.975076 0.221869i \(-0.928784\pi\)
0.975076 0.221869i \(-0.0712159\pi\)
\(450\) −1.08463 + 0.580666i −0.0511298 + 0.0273728i
\(451\) −0.498418 −0.0234696
\(452\) 10.8571 + 18.8050i 0.510673 + 0.884512i
\(453\) −11.8288 7.08458i −0.555763 0.332863i
\(454\) −3.71515 + 6.43483i −0.174361 + 0.302001i
\(455\) 0.721349 + 2.65793i 0.0338173 + 0.124606i
\(456\) 4.74323 + 8.52842i 0.222122 + 0.399380i
\(457\) 20.8562 12.0413i 0.975612 0.563270i 0.0746694 0.997208i \(-0.476210\pi\)
0.900942 + 0.433939i \(0.142877\pi\)
\(458\) −11.1703 −0.521955
\(459\) 10.3517 + 0.498278i 0.483175 + 0.0232576i
\(460\) 2.94294i 0.137215i
\(461\) −29.3557 + 16.9485i −1.36723 + 0.789370i −0.990573 0.136983i \(-0.956259\pi\)
−0.376656 + 0.926353i \(0.622926\pi\)
\(462\) −0.210616 + 0.117138i −0.00979873 + 0.00544974i
\(463\) −27.8998 16.1079i −1.29661 0.748599i −0.316795 0.948494i \(-0.602607\pi\)
−0.979817 + 0.199895i \(0.935940\pi\)
\(464\) 0.900287 1.55934i 0.0417948 0.0723907i
\(465\) −7.13767 + 11.9174i −0.331001 + 0.552656i
\(466\) −2.55436 + 1.47476i −0.118328 + 0.0683169i
\(467\) 22.9157 1.06041 0.530206 0.847869i \(-0.322115\pi\)
0.530206 + 0.847869i \(0.322115\pi\)
\(468\) 14.4091 13.6007i 0.666062 0.628694i
\(469\) 10.5935 0.489163
\(470\) −1.45825 + 0.841918i −0.0672638 + 0.0388348i
\(471\) 24.0622 + 0.385813i 1.10873 + 0.0177773i
\(472\) 3.19862 5.54017i 0.147228 0.255007i
\(473\) 0.317561 + 0.183344i 0.0146015 + 0.00843015i
\(474\) −0.110918 + 6.91770i −0.00509465 + 0.317741i
\(475\) 3.10508 1.79272i 0.142471 0.0822557i
\(476\) 2.79074i 0.127913i
\(477\) −8.04788 + 12.9611i −0.368487 + 0.593448i
\(478\) 9.74254 0.445613
\(479\) 24.2251 13.9864i 1.10687 0.639053i 0.168855 0.985641i \(-0.445993\pi\)
0.938018 + 0.346587i \(0.112660\pi\)
\(480\) 3.89890 6.50979i 0.177960 0.297130i
\(481\) −0.759560 + 0.206141i −0.0346329 + 0.00939921i
\(482\) −1.79070 + 3.10159i −0.0815644 + 0.141274i
\(483\) 1.85755 1.03311i 0.0845213 0.0470080i
\(484\) −9.89432 17.1375i −0.449742 0.778975i
\(485\) 14.2659 0.647781
\(486\) 0.511912 6.37220i 0.0232208 0.289049i
\(487\) 17.7388i 0.803820i −0.915679 0.401910i \(-0.868347\pi\)
0.915679 0.401910i \(-0.131653\pi\)
\(488\) −5.12596 + 2.95947i −0.232041 + 0.133969i
\(489\) 18.7882 10.4494i 0.849630 0.472537i
\(490\) −1.31569 + 2.27884i −0.0594369 + 0.102948i
\(491\) 11.1026 19.2302i 0.501052 0.867847i −0.498947 0.866632i \(-0.666280\pi\)
0.999999 0.00121505i \(-0.000386762\pi\)
\(492\) −3.05427 1.82929i −0.137697 0.0824708i
\(493\) −0.594726 1.03010i −0.0267851 0.0463932i
\(494\) 3.73665 3.76074i 0.168120 0.169204i
\(495\) 0.702937 1.13208i 0.0315947 0.0508832i
\(496\) 24.2148i 1.08727i
\(497\) −4.64208 8.04031i −0.208226 0.360657i
\(498\) 11.0110 + 0.176551i 0.493416 + 0.00791143i
\(499\) 1.82679 + 1.05470i 0.0817782 + 0.0472147i 0.540331 0.841452i \(-0.318299\pi\)
−0.458553 + 0.888667i \(0.651632\pi\)
\(500\) −1.58641 0.915912i −0.0709462 0.0409608i
\(501\) 0.0274252 1.71044i 0.00122527 0.0764168i
\(502\) −0.842579 + 0.486463i −0.0376062 + 0.0217119i
\(503\) 27.2835 1.21651 0.608256 0.793741i \(-0.291869\pi\)
0.608256 + 0.793741i \(0.291869\pi\)
\(504\) −3.59907 0.115445i −0.160315 0.00514232i
\(505\) 4.34702i 0.193440i
\(506\) 0.146325 + 0.253442i 0.00650492 + 0.0112669i
\(507\) −19.3909 11.4452i −0.861181 0.508298i
\(508\) −6.54865 + 11.3426i −0.290550 + 0.503247i
\(509\) −1.10835 0.639905i −0.0491267 0.0283633i 0.475236 0.879859i \(-0.342363\pi\)
−0.524362 + 0.851495i \(0.675696\pi\)
\(510\) −0.688584 1.23809i −0.0304910 0.0548234i
\(511\) −1.45510 2.52031i −0.0643700 0.111492i
\(512\) 22.7160i 1.00391i
\(513\) −0.895743 + 18.6090i −0.0395480 + 0.821606i
\(514\) 0.798676i 0.0352281i
\(515\) −5.90676 + 3.41027i −0.260283 + 0.150274i
\(516\) 1.27308 + 2.28903i 0.0560443 + 0.100769i
\(517\) 0.911913 1.57948i 0.0401059 0.0694654i
\(518\) 0.0592162 + 0.0341885i 0.00260181 + 0.00150216i
\(519\) 21.1254 35.2720i 0.927303 1.54827i
\(520\) −5.47741 1.44883i −0.240200 0.0635352i
\(521\) −8.57816 −0.375816 −0.187908 0.982187i \(-0.560171\pi\)
−0.187908 + 0.982187i \(0.560171\pi\)
\(522\) −0.646840 + 0.346292i −0.0283114 + 0.0151568i
\(523\) −3.25874 −0.142495 −0.0712473 0.997459i \(-0.522698\pi\)
−0.0712473 + 0.997459i \(0.522698\pi\)
\(524\) 5.42859 + 9.40260i 0.237149 + 0.410754i
\(525\) −0.0212105 + 1.32285i −0.000925702 + 0.0577337i
\(526\) −3.66649 2.11685i −0.159866 0.0922989i
\(527\) −13.8531 7.99808i −0.603450 0.348402i
\(528\) −0.0372399 + 2.32256i −0.00162066 + 0.101076i
\(529\) 10.2095 + 17.6833i 0.443890 + 0.768840i
\(530\) 2.08552 0.0905892
\(531\) 10.7672 5.76431i 0.467256 0.250150i
\(532\) 5.01684 0.217508
\(533\) −1.03456 + 3.91124i −0.0448117 + 0.169415i
\(534\) 4.48733 7.49226i 0.194186 0.324222i
\(535\) 11.4844 + 6.63050i 0.496512 + 0.286661i
\(536\) −10.8967 + 18.8736i −0.470665 + 0.815215i
\(537\) −12.1783 21.8969i −0.525534 0.944921i
\(538\) −10.6523 + 6.15013i −0.459255 + 0.265151i
\(539\) 2.85015i 0.122765i
\(540\) 8.46249 4.35738i 0.364168 0.187512i
\(541\) 4.56408i 0.196225i 0.995175 + 0.0981126i \(0.0312805\pi\)
−0.995175 + 0.0981126i \(0.968719\pi\)
\(542\) 1.99207 + 3.45037i 0.0855667 + 0.148206i
\(543\) 10.7487 + 19.3264i 0.461272 + 0.829376i
\(544\) 7.56715 + 4.36890i 0.324439 + 0.187315i
\(545\) 2.52333 4.37053i 0.108088 0.187213i
\(546\) 0.482043 + 1.89591i 0.0206295 + 0.0811373i
\(547\) −19.2674 33.3721i −0.823814 1.42689i −0.902823 0.430013i \(-0.858509\pi\)
0.0790092 0.996874i \(-0.474824\pi\)
\(548\) 16.6941i 0.713135i
\(549\) −11.2942 0.362274i −0.482023 0.0154615i
\(550\) −0.182158 −0.00776726
\(551\) 1.85178 1.06913i 0.0788885 0.0455463i
\(552\) −0.0701025 + 4.37211i −0.00298376 + 0.186090i
\(553\) 6.44331 + 3.72005i 0.273997 + 0.158192i
\(554\) −1.25321 0.723542i −0.0532439 0.0307404i
\(555\) −0.378031 0.00606135i −0.0160465 0.000257290i
\(556\) −17.0439 29.5209i −0.722822 1.25196i
\(557\) 30.0258i 1.27223i 0.771593 + 0.636117i \(0.219460\pi\)
−0.771593 + 0.636117i \(0.780540\pi\)
\(558\) −5.20496 + 8.38259i −0.220344 + 0.354863i
\(559\) 2.09791 2.11143i 0.0887322 0.0893040i
\(560\) −1.15311 1.99724i −0.0487276 0.0843988i
\(561\) 1.31642 + 0.788440i 0.0555792 + 0.0332880i
\(562\) −2.43071 + 4.21012i −0.102534 + 0.177593i
\(563\) −18.2775 + 31.6575i −0.770303 + 1.33420i 0.167094 + 0.985941i \(0.446562\pi\)
−0.937397 + 0.348263i \(0.886772\pi\)
\(564\) 11.3851 6.33204i 0.479400 0.266627i
\(565\) 10.2657 5.92692i 0.431882 0.249347i
\(566\) 2.24077i 0.0941866i
\(567\) −5.72105 3.81177i −0.240261 0.160079i
\(568\) 19.0997 0.801405
\(569\) −17.1303 29.6706i −0.718141 1.24386i −0.961736 0.273980i \(-0.911660\pi\)
0.243594 0.969877i \(-0.421673\pi\)
\(570\) 2.22568 1.23785i 0.0932235 0.0518479i
\(571\) −6.12399 + 10.6071i −0.256281 + 0.443892i −0.965243 0.261355i \(-0.915831\pi\)
0.708962 + 0.705247i \(0.249164\pi\)
\(572\) 2.83132 0.768406i 0.118383 0.0321287i
\(573\) −6.99388 + 11.6773i −0.292174 + 0.487827i
\(574\) 0.304400 0.175746i 0.0127054 0.00733548i
\(575\) 1.60656 0.0669984
\(576\) −6.71280 + 10.8110i −0.279700 + 0.450457i
\(577\) 15.7757i 0.656752i 0.944547 + 0.328376i \(0.106501\pi\)
−0.944547 + 0.328376i \(0.893499\pi\)
\(578\) −4.62479 + 2.67012i −0.192366 + 0.111063i
\(579\) −0.0373138 + 2.32716i −0.00155071 + 0.0967136i
\(580\) −0.946085 0.546222i −0.0392840 0.0226807i
\(581\) 5.92126 10.2559i 0.245655 0.425488i
\(582\) 10.1318 + 0.162453i 0.419976 + 0.00673390i
\(583\) −1.95627 + 1.12945i −0.0810204 + 0.0467771i
\(584\) 5.98698 0.247743
\(585\) −7.42469 7.86600i −0.306973 0.325219i
\(586\) 4.52192 0.186799
\(587\) 22.9033 13.2232i 0.945319 0.545780i 0.0536950 0.998557i \(-0.482900\pi\)
0.891624 + 0.452777i \(0.149567\pi\)
\(588\) 10.4606 17.4655i 0.431387 0.720265i
\(589\) 14.3780 24.9034i 0.592434 1.02613i
\(590\) −1.44583 0.834751i −0.0595240 0.0343662i
\(591\) −20.8055 + 11.5714i −0.855825 + 0.475982i
\(592\) 0.570754 0.329525i 0.0234578 0.0135434i
\(593\) 25.5965i 1.05112i 0.850755 + 0.525562i \(0.176145\pi\)
−0.850755 + 0.525562i \(0.823855\pi\)
\(594\) 0.512125 0.796011i 0.0210128 0.0326607i
\(595\) −1.52347 −0.0624564
\(596\) 24.2552 14.0037i 0.993532 0.573616i
\(597\) 11.9914 + 21.5607i 0.490774 + 0.882421i
\(598\) 2.29256 0.622189i 0.0937497 0.0254432i
\(599\) 11.9132 20.6343i 0.486760 0.843094i −0.513124 0.858315i \(-0.671512\pi\)
0.999884 + 0.0152210i \(0.00484518\pi\)
\(600\) −2.33499 1.39849i −0.0953255 0.0570932i
\(601\) 17.8735 + 30.9578i 0.729075 + 1.26279i 0.957275 + 0.289180i \(0.0933827\pi\)
−0.228200 + 0.973614i \(0.573284\pi\)
\(602\) −0.258593 −0.0105395
\(603\) −36.6803 + 19.6372i −1.49374 + 0.799687i
\(604\) 14.5823i 0.593346i
\(605\) −9.35541 + 5.40135i −0.380352 + 0.219596i
\(606\) −0.0495018 + 3.08730i −0.00201087 + 0.125413i
\(607\) −0.271769 + 0.470717i −0.0110307 + 0.0191058i −0.871488 0.490417i \(-0.836845\pi\)
0.860457 + 0.509522i \(0.170178\pi\)
\(608\) −7.85387 + 13.6033i −0.318516 + 0.551687i
\(609\) −0.0126493 + 0.788905i −0.000512576 + 0.0319681i
\(610\) 0.772341 + 1.33773i 0.0312712 + 0.0541632i
\(611\) −10.5018 10.4346i −0.424858 0.422137i
\(612\) 5.17319 + 9.66301i 0.209114 + 0.390604i
\(613\) 13.0014i 0.525121i −0.964915 0.262561i \(-0.915433\pi\)
0.964915 0.262561i \(-0.0845670\pi\)
\(614\) 1.19697 + 2.07322i 0.0483059 + 0.0836683i
\(615\) −0.998617 + 1.66734i −0.0402681 + 0.0672336i
\(616\) −0.461731 0.266581i −0.0186037 0.0107408i
\(617\) −26.3363 15.2053i −1.06026 0.612140i −0.134755 0.990879i \(-0.543025\pi\)
−0.925504 + 0.378739i \(0.876358\pi\)
\(618\) −4.23388 + 2.35475i −0.170312 + 0.0947219i
\(619\) 12.0117 6.93494i 0.482790 0.278739i −0.238789 0.971072i \(-0.576750\pi\)
0.721578 + 0.692333i \(0.243417\pi\)
\(620\) −14.6916 −0.590028
\(621\) −4.51674 + 7.02050i −0.181251 + 0.281723i
\(622\) 5.26543i 0.211124i
\(623\) −4.69578 8.13333i −0.188132 0.325855i
\(624\) 18.1485 + 5.11313i 0.726522 + 0.204689i
\(625\) −0.500000 + 0.866025i −0.0200000 + 0.0346410i
\(626\) 0.0675416 + 0.0389952i 0.00269951 + 0.00155856i
\(627\) −1.41736 + 2.36649i −0.0566040 + 0.0945087i
\(628\) 12.7258 + 22.0417i 0.507814 + 0.879559i
\(629\) 0.435365i 0.0173592i
\(630\) −0.0301279 + 0.939258i −0.00120032 + 0.0374209i
\(631\) 39.4067i 1.56875i −0.620284 0.784377i \(-0.712983\pi\)
0.620284 0.784377i \(-0.287017\pi\)
\(632\) −13.2554 + 7.65301i −0.527272 + 0.304421i
\(633\) −8.19267 0.131361i −0.325629 0.00522114i
\(634\) 1.81400 3.14194i 0.0720432 0.124782i
\(635\) 6.19197 + 3.57494i 0.245721 + 0.141867i
\(636\) −16.1332 0.258679i −0.639722 0.0102573i
\(637\) −22.3660 5.91601i −0.886173 0.234401i
\(638\) −0.108634 −0.00430085
\(639\) 30.9776 + 19.2348i 1.22546 + 0.760917i
\(640\) 10.5015 0.415108
\(641\) 7.56874 + 13.1094i 0.298947 + 0.517792i 0.975895 0.218239i \(-0.0700312\pi\)
−0.676948 + 0.736031i \(0.736698\pi\)
\(642\) 8.08082 + 4.83983i 0.318924 + 0.191013i
\(643\) −10.8835 6.28358i −0.429203 0.247800i 0.269804 0.962915i \(-0.413041\pi\)
−0.699007 + 0.715115i \(0.746374\pi\)
\(644\) 1.94678 + 1.12397i 0.0767138 + 0.0442908i
\(645\) 1.24959 0.694981i 0.0492025 0.0273648i
\(646\) 1.46631 + 2.53973i 0.0576913 + 0.0999243i
\(647\) 23.0846 0.907549 0.453774 0.891117i \(-0.350077\pi\)
0.453774 + 0.891117i \(0.350077\pi\)
\(648\) 12.6759 6.27186i 0.497956 0.246382i
\(649\) 1.80830 0.0709820
\(650\) −0.378104 + 1.42945i −0.0148304 + 0.0560677i
\(651\) 5.15742 + 9.27313i 0.202135 + 0.363443i
\(652\) 19.6907 + 11.3684i 0.771147 + 0.445222i
\(653\) 14.0585 24.3500i 0.550151 0.952889i −0.448113 0.893977i \(-0.647904\pi\)
0.998263 0.0589116i \(-0.0187630\pi\)
\(654\) 1.84187 3.07527i 0.0720227 0.120252i
\(655\) 5.13292 2.96349i 0.200560 0.115793i
\(656\) 3.38784i 0.132273i
\(657\) 9.71024 + 6.02934i 0.378833 + 0.235227i
\(658\) 1.28619i 0.0501408i
\(659\) −16.0785 27.8487i −0.626328 1.08483i −0.988282 0.152637i \(-0.951224\pi\)
0.361954 0.932196i \(-0.382110\pi\)
\(660\) 1.40914 + 0.0225942i 0.0548508 + 0.000879477i
\(661\) −37.1818 21.4669i −1.44621 0.834967i −0.447953 0.894057i \(-0.647847\pi\)
−0.998253 + 0.0590895i \(0.981180\pi\)
\(662\) 1.37628 2.38379i 0.0534908 0.0926487i
\(663\) 8.91960 8.69378i 0.346409 0.337638i
\(664\) 12.1814 + 21.0989i 0.472731 + 0.818795i
\(665\) 2.73872i 0.106203i
\(666\) −0.268413 0.00860969i −0.0104008 0.000333619i
\(667\) 0.958107 0.0370981
\(668\) 1.56681 0.904600i 0.0606218 0.0350000i
\(669\) 32.8394 + 19.6684i 1.26964 + 0.760426i
\(670\) 4.92549 + 2.84373i 0.190288 + 0.109863i
\(671\) −1.44895 0.836551i −0.0559360 0.0322947i
\(672\) −2.81720 5.06538i −0.108676 0.195401i
\(673\) 3.65511 + 6.33084i 0.140894 + 0.244036i 0.927834 0.372994i \(-0.121669\pi\)
−0.786939 + 0.617030i \(0.788336\pi\)
\(674\) 3.11325i 0.119918i
\(675\) −2.37871 4.61971i −0.0915568 0.177813i
\(676\) −0.152986 23.8132i −0.00588406 0.915893i
\(677\) −17.2093 29.8074i −0.661407 1.14559i −0.980246 0.197782i \(-0.936626\pi\)
0.318839 0.947809i \(-0.396707\pi\)
\(678\) 7.35833 4.09246i 0.282595 0.157170i
\(679\) 5.44845 9.43699i 0.209092 0.362159i
\(680\) 1.56707 2.71425i 0.0600945 0.104087i
\(681\) −26.9228 16.1248i −1.03168 0.617904i
\(682\) −1.26522 + 0.730473i −0.0484476 + 0.0279713i
\(683\) 29.3368i 1.12254i −0.827632 0.561272i \(-0.810312\pi\)
0.827632 0.561272i \(-0.189688\pi\)
\(684\) −17.3710 + 9.29972i −0.664196 + 0.355584i
\(685\) −9.11336 −0.348204
\(686\) 2.10135 + 3.63964i 0.0802298 + 0.138962i
\(687\) 0.756362 47.1724i 0.0288570 1.79974i
\(688\) −1.24622 + 2.15852i −0.0475117 + 0.0822927i
\(689\) 4.80256 + 17.6958i 0.182963 + 0.674157i
\(690\) 1.14100 + 0.0182948i 0.0434372 + 0.000696472i
\(691\) 19.4151 11.2093i 0.738585 0.426422i −0.0829697 0.996552i \(-0.526440\pi\)
0.821555 + 0.570130i \(0.193107\pi\)
\(692\) 43.4828 1.65297
\(693\) −0.480412 0.897363i −0.0182493 0.0340880i
\(694\) 7.08791i 0.269054i
\(695\) −16.1156 + 9.30433i −0.611298 + 0.352933i
\(696\) −1.39252 0.834019i −0.0527832 0.0316134i
\(697\) −1.93816 1.11900i −0.0734130 0.0423850i
\(698\) −2.47384 + 4.28481i −0.0936361 + 0.162182i
\(699\) −6.05496 10.8869i −0.229020 0.411782i
\(700\) −1.21177 + 0.699613i −0.0458004 + 0.0264429i
\(701\) −44.3730 −1.67595 −0.837973 0.545711i \(-0.816260\pi\)
−0.837973 + 0.545711i \(0.816260\pi\)
\(702\) −5.18353 5.67107i −0.195640 0.214041i
\(703\) 0.782646 0.0295181
\(704\) −1.63174 + 0.942085i −0.0614985 + 0.0355062i
\(705\) −3.45669 6.21519i −0.130186 0.234078i
\(706\) −2.49143 + 4.31528i −0.0937662 + 0.162408i
\(707\) 2.87558 + 1.66022i 0.108147 + 0.0624390i
\(708\) 11.0811 + 6.63681i 0.416454 + 0.249427i
\(709\) 12.0856 6.97761i 0.453883 0.262050i −0.255585 0.966786i \(-0.582268\pi\)
0.709469 + 0.704737i \(0.248935\pi\)
\(710\) 4.98449i 0.187065i
\(711\) −29.2060 0.936819i −1.09531 0.0351335i
\(712\) 19.3207 0.724072
\(713\) 11.1587 6.44248i 0.417897 0.241273i
\(714\) −1.08199 0.0173486i −0.0404924 0.000649256i
\(715\) −0.419476 1.54563i −0.0156875 0.0578033i
\(716\) 13.2495 22.9488i 0.495156 0.857636i
\(717\) −0.659684 + 41.1428i −0.0246363 + 1.53651i
\(718\) 0.0527634 + 0.0913890i 0.00196911 + 0.00341061i
\(719\) 37.5186 1.39921 0.699604 0.714530i \(-0.253360\pi\)
0.699604 + 0.714530i \(0.253360\pi\)
\(720\) 7.69495 + 4.77799i 0.286774 + 0.178065i
\(721\) 5.20982i 0.194024i
\(722\) 2.18226 1.25993i 0.0812154 0.0468897i
\(723\) −12.9768 7.77218i −0.482612 0.289050i
\(724\) −11.6941 + 20.2548i −0.434608 + 0.752764i
\(725\) −0.298185 + 0.516472i −0.0110743 + 0.0191813i
\(726\) −6.70583 + 3.72956i −0.248877 + 0.138417i
\(727\) 13.2056 + 22.8728i 0.489768 + 0.848303i 0.999931 0.0117747i \(-0.00374808\pi\)
−0.510162 + 0.860078i \(0.670415\pi\)
\(728\) −3.05035 + 3.07001i −0.113054 + 0.113782i
\(729\) 26.8752 + 2.59328i 0.995377 + 0.0960475i
\(730\) 1.56244i 0.0578284i
\(731\) 0.823248 + 1.42591i 0.0304489 + 0.0527391i
\(732\) −5.80875 10.4442i −0.214698 0.386030i
\(733\) −2.11871 1.22324i −0.0782565 0.0451814i 0.460361 0.887732i \(-0.347720\pi\)
−0.538618 + 0.842550i \(0.681053\pi\)
\(734\) −5.23944 3.02499i −0.193391 0.111654i
\(735\) −9.53449 5.71048i −0.351685 0.210634i
\(736\) −6.09537 + 3.51916i −0.224678 + 0.129718i
\(737\) −6.16030 −0.226918
\(738\) −0.728216 + 1.17279i −0.0268060 + 0.0431711i
\(739\) 43.2972i 1.59271i 0.604828 + 0.796356i \(0.293242\pi\)
−0.604828 + 0.796356i \(0.706758\pi\)
\(740\) −0.199929 0.346288i −0.00734955 0.0127298i
\(741\) 15.6286 + 16.0346i 0.574131 + 0.589044i
\(742\) 0.796505 1.37959i 0.0292406 0.0506463i
\(743\) −8.86986 5.12101i −0.325403 0.187872i 0.328395 0.944540i \(-0.393492\pi\)
−0.653799 + 0.756669i \(0.726826\pi\)
\(744\) −21.8262 0.349961i −0.800187 0.0128302i
\(745\) −7.64470 13.2410i −0.280080 0.485113i
\(746\) 10.8085i 0.395729i
\(747\) −1.49115 + 46.4877i −0.0545584 + 1.70090i
\(748\) 1.62286i 0.0593376i
\(749\) 8.77225 5.06466i 0.320531 0.185059i
\(750\) −0.364968 + 0.609367i −0.0133267 + 0.0222510i
\(751\) −0.679184 + 1.17638i −0.0247838 + 0.0429267i −0.878151 0.478383i \(-0.841223\pi\)
0.853368 + 0.521310i \(0.174556\pi\)
\(752\) 10.7360 + 6.19844i 0.391502 + 0.226034i
\(753\) −1.99729 3.59116i −0.0727852 0.130869i
\(754\) −0.225490 + 0.852483i −0.00821185 + 0.0310456i
\(755\) −7.96054 −0.289714
\(756\) 0.349565 7.26218i 0.0127136 0.264123i
\(757\) −7.30237 −0.265409 −0.132705 0.991156i \(-0.542366\pi\)
−0.132705 + 0.991156i \(0.542366\pi\)
\(758\) −4.18896 7.25549i −0.152150 0.263531i
\(759\) −1.08019 + 0.600769i −0.0392086 + 0.0218065i
\(760\) 4.87935 + 2.81709i 0.176993 + 0.102187i
\(761\) −27.6772 15.9794i −1.00330 0.579254i −0.0940752 0.995565i \(-0.529989\pi\)
−0.909222 + 0.416311i \(0.863323\pi\)
\(762\) 4.35690 + 2.60947i 0.157834 + 0.0945312i
\(763\) −1.92743 3.33840i −0.0697775 0.120858i
\(764\) −14.3956 −0.520815
\(765\) 5.27508 2.82406i 0.190721 0.102104i
\(766\) −15.4724 −0.559039
\(767\) 3.75346 14.1903i 0.135530 0.512381i
\(768\) −7.23398 0.115990i −0.261034 0.00418542i
\(769\) 10.1273 + 5.84703i 0.365202 + 0.210849i 0.671360 0.741131i \(-0.265710\pi\)
−0.306159 + 0.951981i \(0.599044\pi\)
\(770\) −0.0695702 + 0.120499i −0.00250714 + 0.00434249i
\(771\) 3.37282 + 0.0540797i 0.121469 + 0.00194763i
\(772\) −2.13175 + 1.23077i −0.0767234 + 0.0442963i
\(773\) 30.4439i 1.09499i 0.836809 + 0.547495i \(0.184418\pi\)
−0.836809 + 0.547495i \(0.815582\pi\)