Properties

Label 441.2.z.a.130.32
Level $441$
Weight $2$
Character 441.130
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.z (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 130.32
Character \(\chi\) \(=\) 441.130
Dual form 441.2.z.a.268.32

$q$-expansion

\(f(q)\) \(=\) \(q+(0.442370 - 0.301603i) q^{2} +(-0.944398 - 1.45193i) q^{3} +(-0.625955 + 1.59491i) q^{4} +(-0.835905 - 3.66234i) q^{5} +(-0.855681 - 0.357459i) q^{6} +(1.43498 - 2.22280i) q^{7} +(0.442401 + 1.93829i) q^{8} +(-1.21622 + 2.74241i) q^{9} +O(q^{10})\) \(q+(0.442370 - 0.301603i) q^{2} +(-0.944398 - 1.45193i) q^{3} +(-0.625955 + 1.59491i) q^{4} +(-0.835905 - 3.66234i) q^{5} +(-0.855681 - 0.357459i) q^{6} +(1.43498 - 2.22280i) q^{7} +(0.442401 + 1.93829i) q^{8} +(-1.21622 + 2.74241i) q^{9} +(-1.47435 - 1.36800i) q^{10} +(-2.52547 - 1.21620i) q^{11} +(2.90685 - 0.597383i) q^{12} +(-2.75251 + 1.87663i) q^{13} +(-0.0356071 - 1.41609i) q^{14} +(-4.52805 + 4.67239i) q^{15} +(-1.73164 - 1.60673i) q^{16} +(-0.492578 - 1.25507i) q^{17} +(0.289097 + 1.57998i) q^{18} +(2.71357 + 4.70005i) q^{19} +(6.36433 + 0.959269i) q^{20} +(-4.58255 + 0.0157022i) q^{21} +(-1.48400 + 0.223678i) q^{22} +(-4.43372 - 5.55971i) q^{23} +(2.39646 - 2.47285i) q^{24} +(-8.20915 + 3.95332i) q^{25} +(-0.651630 + 1.66033i) q^{26} +(5.13039 - 0.824051i) q^{27} +(2.64692 + 3.68004i) q^{28} +(-4.15924 - 0.626905i) q^{29} +(-0.593868 + 3.43260i) q^{30} +(-3.08453 - 5.34256i) q^{31} +(-5.18248 - 0.781133i) q^{32} +(0.619205 + 4.81540i) q^{33} +(-0.596434 - 0.406642i) q^{34} +(-9.34014 - 3.39736i) q^{35} +(-3.61259 - 3.65639i) q^{36} +(4.08330 + 0.615459i) q^{37} +(2.61795 + 1.26074i) q^{38} +(5.32420 + 2.22417i) q^{39} +(6.72886 - 3.24045i) q^{40} +(0.669169 + 0.206411i) q^{41} +(-2.02245 + 1.38906i) q^{42} +(-4.39190 + 1.35472i) q^{43} +(3.52056 - 3.26661i) q^{44} +(11.0603 + 2.16183i) q^{45} +(-3.63817 - 1.12223i) q^{46} +(2.68622 - 1.83144i) q^{47} +(-0.697504 + 4.03162i) q^{48} +(-2.88164 - 6.37935i) q^{49} +(-2.43915 + 4.22474i) q^{50} +(-1.35709 + 1.90047i) q^{51} +(-1.27010 - 5.56467i) q^{52} +(11.1182 - 1.67581i) q^{53} +(2.02100 - 1.91188i) q^{54} +(-2.34309 + 10.2658i) q^{55} +(4.94325 + 1.79804i) q^{56} +(4.26146 - 8.37865i) q^{57} +(-2.02900 + 0.977115i) q^{58} +(6.55725 - 2.02264i) q^{59} +(-4.61767 - 10.1465i) q^{60} +(-3.34311 - 8.51810i) q^{61} +(-2.97583 - 1.43309i) q^{62} +(4.35055 + 6.63873i) q^{63} +(1.72844 - 0.832372i) q^{64} +(9.17368 + 8.51193i) q^{65} +(1.72626 + 1.94343i) q^{66} +(7.15503 + 12.3929i) q^{67} +2.31005 q^{68} +(-3.88513 + 11.6880i) q^{69} +(-5.15645 + 1.31413i) q^{70} +(-0.427562 - 0.536146i) q^{71} +(-5.85363 - 1.14414i) q^{72} +(0.864428 - 11.5350i) q^{73} +(1.99195 - 0.959275i) q^{74} +(13.4927 + 8.18564i) q^{75} +(-9.19472 + 1.38588i) q^{76} +(-6.32738 + 3.86837i) q^{77} +(3.02608 - 0.621886i) q^{78} +(3.38921 - 5.87028i) q^{79} +(-4.43690 + 7.68494i) q^{80} +(-6.04160 - 6.67076i) q^{81} +(0.358275 - 0.110513i) q^{82} +(11.6328 + 7.93111i) q^{83} +(2.84343 - 7.31857i) q^{84} +(-4.18474 + 2.85310i) q^{85} +(-1.53426 + 1.92390i) q^{86} +(3.01776 + 6.63099i) q^{87} +(1.24008 - 5.43314i) q^{88} +(-4.99125 - 3.40297i) q^{89} +(5.54475 - 2.37948i) q^{90} +(0.221554 + 8.81119i) q^{91} +(11.6425 - 3.59124i) q^{92} +(-4.84402 + 9.52403i) q^{93} +(0.635939 - 1.62034i) q^{94} +(14.9449 - 13.8668i) q^{95} +(3.76017 + 8.26231i) q^{96} +(-0.364142 - 0.630713i) q^{97} +(-3.19878 - 1.95293i) q^{98} +(6.40686 - 5.44670i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9} - 22 q^{10} - 5 q^{11} + 2 q^{12} - 4 q^{13} + 52 q^{14} - 4 q^{15} + 38 q^{16} - 37 q^{17} - 16 q^{18} - 14 q^{19} - 11 q^{20} - 6 q^{21} - q^{22} - 20 q^{23} - 26 q^{24} - 97 q^{25} - 44 q^{26} + 14 q^{27} - 22 q^{28} - 53 q^{29} - 9 q^{30} + 10 q^{31} - 10 q^{32} + 2 q^{33} - 7 q^{34} - 32 q^{35} - 22 q^{36} - 39 q^{37} + 59 q^{38} - 26 q^{39} - 19 q^{40} - 17 q^{41} - 83 q^{42} - q^{43} - 31 q^{44} + 81 q^{45} + 56 q^{46} + 50 q^{47} - 23 q^{48} - 19 q^{49} - 21 q^{50} - 30 q^{51} - 9 q^{52} + 50 q^{53} + 48 q^{54} + 20 q^{55} - 239 q^{56} + 33 q^{57} + 17 q^{58} - 37 q^{59} - 152 q^{60} - 105 q^{61} - 30 q^{62} + 6 q^{63} - 88 q^{64} - 5 q^{65} - 99 q^{66} + 13 q^{67} - 290 q^{68} + 64 q^{69} + 17 q^{70} - 19 q^{71} + 11 q^{72} - 40 q^{73} - 57 q^{74} + 69 q^{75} - 41 q^{76} + 19 q^{77} + 81 q^{78} + 13 q^{79} + 163 q^{80} - 179 q^{81} - 28 q^{82} + 73 q^{83} - 341 q^{84} - 10 q^{85} + 15 q^{86} + 13 q^{87} - 13 q^{88} - 104 q^{89} + 171 q^{90} - 49 q^{91} - 91 q^{92} - 275 q^{93} - 4 q^{94} - 29 q^{95} + 231 q^{96} - 11 q^{97} - 33 q^{98} + 62 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{2}{21}\right)\) \(e\left(\frac{1}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.442370 0.301603i 0.312803 0.213265i −0.396734 0.917934i \(-0.629856\pi\)
0.709537 + 0.704668i \(0.248904\pi\)
\(3\) −0.944398 1.45193i −0.545249 0.838274i
\(4\) −0.625955 + 1.59491i −0.312977 + 0.797454i
\(5\) −0.835905 3.66234i −0.373828 1.63785i −0.715920 0.698182i \(-0.753993\pi\)
0.342092 0.939666i \(-0.388865\pi\)
\(6\) −0.855681 0.357459i −0.349330 0.145932i
\(7\) 1.43498 2.22280i 0.542373 0.840138i
\(8\) 0.442401 + 1.93829i 0.156412 + 0.685288i
\(9\) −1.21622 + 2.74241i −0.405408 + 0.914136i
\(10\) −1.47435 1.36800i −0.466231 0.432599i
\(11\) −2.52547 1.21620i −0.761458 0.366699i 0.0125112 0.999922i \(-0.496017\pi\)
−0.773970 + 0.633223i \(0.781732\pi\)
\(12\) 2.90685 0.597383i 0.839135 0.172450i
\(13\) −2.75251 + 1.87663i −0.763408 + 0.520483i −0.881308 0.472543i \(-0.843336\pi\)
0.117900 + 0.993025i \(0.462384\pi\)
\(14\) −0.0356071 1.41609i −0.00951641 0.378467i
\(15\) −4.52805 + 4.67239i −1.16914 + 1.20641i
\(16\) −1.73164 1.60673i −0.432911 0.401682i
\(17\) −0.492578 1.25507i −0.119468 0.304399i 0.858613 0.512624i \(-0.171326\pi\)
−0.978081 + 0.208225i \(0.933231\pi\)
\(18\) 0.289097 + 1.57998i 0.0681409 + 0.372404i
\(19\) 2.71357 + 4.70005i 0.622537 + 1.07827i 0.989012 + 0.147837i \(0.0472312\pi\)
−0.366475 + 0.930428i \(0.619436\pi\)
\(20\) 6.36433 + 0.959269i 1.42311 + 0.214499i
\(21\) −4.58255 + 0.0157022i −0.999994 + 0.00342649i
\(22\) −1.48400 + 0.223678i −0.316391 + 0.0476882i
\(23\) −4.43372 5.55971i −0.924494 1.15928i −0.986917 0.161229i \(-0.948454\pi\)
0.0624230 0.998050i \(-0.480117\pi\)
\(24\) 2.39646 2.47285i 0.489176 0.504769i
\(25\) −8.20915 + 3.95332i −1.64183 + 0.790664i
\(26\) −0.651630 + 1.66033i −0.127795 + 0.325617i
\(27\) 5.13039 0.824051i 0.987345 0.158589i
\(28\) 2.64692 + 3.68004i 0.500220 + 0.695462i
\(29\) −4.15924 0.626905i −0.772352 0.116413i −0.248969 0.968511i \(-0.580092\pi\)
−0.523382 + 0.852098i \(0.675330\pi\)
\(30\) −0.593868 + 3.43260i −0.108425 + 0.626704i
\(31\) −3.08453 5.34256i −0.553997 0.959552i −0.997981 0.0635166i \(-0.979768\pi\)
0.443983 0.896035i \(-0.353565\pi\)
\(32\) −5.18248 0.781133i −0.916141 0.138086i
\(33\) 0.619205 + 4.81540i 0.107790 + 0.838253i
\(34\) −0.596434 0.406642i −0.102288 0.0697385i
\(35\) −9.34014 3.39736i −1.57877 0.574258i
\(36\) −3.61259 3.65639i −0.602098 0.609398i
\(37\) 4.08330 + 0.615459i 0.671290 + 0.101181i 0.475839 0.879533i \(-0.342145\pi\)
0.195452 + 0.980713i \(0.437383\pi\)
\(38\) 2.61795 + 1.26074i 0.424688 + 0.204519i
\(39\) 5.32420 + 2.22417i 0.852554 + 0.356153i
\(40\) 6.72886 3.24045i 1.06393 0.512360i
\(41\) 0.669169 + 0.206411i 0.104507 + 0.0322360i 0.346567 0.938025i \(-0.387347\pi\)
−0.242061 + 0.970261i \(0.577823\pi\)
\(42\) −2.02245 + 1.38906i −0.312070 + 0.214336i
\(43\) −4.39190 + 1.35472i −0.669758 + 0.206593i −0.610942 0.791676i \(-0.709209\pi\)
−0.0588169 + 0.998269i \(0.518733\pi\)
\(44\) 3.52056 3.26661i 0.530745 0.492459i
\(45\) 11.0603 + 2.16183i 1.64877 + 0.322266i
\(46\) −3.63817 1.12223i −0.536419 0.165463i
\(47\) 2.68622 1.83144i 0.391826 0.267142i −0.351342 0.936247i \(-0.614275\pi\)
0.743168 + 0.669105i \(0.233322\pi\)
\(48\) −0.697504 + 4.03162i −0.100676 + 0.581915i
\(49\) −2.88164 6.37935i −0.411663 0.911336i
\(50\) −2.43915 + 4.22474i −0.344948 + 0.597468i
\(51\) −1.35709 + 1.90047i −0.190030 + 0.266120i
\(52\) −1.27010 5.56467i −0.176131 0.771681i
\(53\) 11.1182 1.67581i 1.52721 0.230190i 0.668911 0.743343i \(-0.266761\pi\)
0.858297 + 0.513153i \(0.171523\pi\)
\(54\) 2.02100 1.91188i 0.275023 0.260174i
\(55\) −2.34309 + 10.2658i −0.315943 + 1.38424i
\(56\) 4.94325 + 1.79804i 0.660570 + 0.240274i
\(57\) 4.26146 8.37865i 0.564445 1.10978i
\(58\) −2.02900 + 0.977115i −0.266421 + 0.128302i
\(59\) 6.55725 2.02264i 0.853681 0.263326i 0.163126 0.986605i \(-0.447842\pi\)
0.690555 + 0.723280i \(0.257366\pi\)
\(60\) −4.61767 10.1465i −0.596139 1.30991i
\(61\) −3.34311 8.51810i −0.428041 1.09063i −0.968445 0.249226i \(-0.919824\pi\)
0.540404 0.841406i \(-0.318271\pi\)
\(62\) −2.97583 1.43309i −0.377931 0.182002i
\(63\) 4.35055 + 6.63873i 0.548118 + 0.836401i
\(64\) 1.72844 0.832372i 0.216055 0.104047i
\(65\) 9.17368 + 8.51193i 1.13785 + 1.05577i
\(66\) 1.72626 + 1.94343i 0.212487 + 0.239220i
\(67\) 7.15503 + 12.3929i 0.874127 + 1.51403i 0.857690 + 0.514167i \(0.171899\pi\)
0.0164362 + 0.999865i \(0.494768\pi\)
\(68\) 2.31005 0.280134
\(69\) −3.88513 + 11.6880i −0.467714 + 1.40707i
\(70\) −5.15645 + 1.31413i −0.616314 + 0.157068i
\(71\) −0.427562 0.536146i −0.0507422 0.0636288i 0.755813 0.654788i \(-0.227242\pi\)
−0.806555 + 0.591159i \(0.798671\pi\)
\(72\) −5.85363 1.14414i −0.689857 0.134839i
\(73\) 0.864428 11.5350i 0.101174 1.35007i −0.683405 0.730040i \(-0.739502\pi\)
0.784579 0.620029i \(-0.212879\pi\)
\(74\) 1.99195 0.959275i 0.231560 0.111513i
\(75\) 13.4927 + 8.18564i 1.55800 + 0.945196i
\(76\) −9.19472 + 1.38588i −1.05471 + 0.158971i
\(77\) −6.32738 + 3.86837i −0.721072 + 0.440842i
\(78\) 3.02608 0.621886i 0.342637 0.0704148i
\(79\) 3.38921 5.87028i 0.381316 0.660458i −0.609935 0.792452i \(-0.708804\pi\)
0.991251 + 0.131993i \(0.0421377\pi\)
\(80\) −4.43690 + 7.68494i −0.496061 + 0.859202i
\(81\) −6.04160 6.67076i −0.671289 0.741196i
\(82\) 0.358275 0.110513i 0.0395648 0.0122041i
\(83\) 11.6328 + 7.93111i 1.27687 + 0.870553i 0.996014 0.0891980i \(-0.0284304\pi\)
0.280853 + 0.959751i \(0.409383\pi\)
\(84\) 2.84343 7.31857i 0.310243 0.798521i
\(85\) −4.18474 + 2.85310i −0.453898 + 0.309463i
\(86\) −1.53426 + 1.92390i −0.165443 + 0.207459i
\(87\) 3.01776 + 6.63099i 0.323537 + 0.710917i
\(88\) 1.24008 5.43314i 0.132193 0.579175i
\(89\) −4.99125 3.40297i −0.529071 0.360715i 0.269132 0.963103i \(-0.413263\pi\)
−0.798203 + 0.602389i \(0.794216\pi\)
\(90\) 5.54475 2.37948i 0.584468 0.250820i
\(91\) 0.221554 + 8.81119i 0.0232252 + 0.923663i
\(92\) 11.6425 3.59124i 1.21382 0.374413i
\(93\) −4.84402 + 9.52403i −0.502301 + 0.987596i
\(94\) 0.635939 1.62034i 0.0655920 0.167126i
\(95\) 14.9449 13.8668i 1.53331 1.42271i
\(96\) 3.76017 + 8.26231i 0.383771 + 0.843269i
\(97\) −0.364142 0.630713i −0.0369731 0.0640392i 0.846947 0.531678i \(-0.178438\pi\)
−0.883920 + 0.467639i \(0.845105\pi\)
\(98\) −3.19878 1.95293i −0.323126 0.197275i
\(99\) 6.40686 5.44670i 0.643914 0.547414i
\(100\) −1.16662 15.5674i −0.116662 1.55674i
\(101\) −4.06117 17.7932i −0.404102 1.77049i −0.610499 0.792017i \(-0.709031\pi\)
0.206397 0.978468i \(-0.433826\pi\)
\(102\) −0.0271456 + 1.25001i −0.00268781 + 0.123770i
\(103\) −3.02324 13.2457i −0.297889 1.30514i −0.873264 0.487247i \(-0.838001\pi\)
0.575375 0.817890i \(-0.304856\pi\)
\(104\) −4.85515 4.50492i −0.476087 0.441744i
\(105\) 3.88808 + 16.7697i 0.379438 + 1.63656i
\(106\) 4.41295 4.09462i 0.428624 0.397705i
\(107\) −4.76237 3.24693i −0.460396 0.313893i 0.310817 0.950470i \(-0.399397\pi\)
−0.771213 + 0.636577i \(0.780350\pi\)
\(108\) −1.89711 + 8.69832i −0.182550 + 0.836996i
\(109\) −6.56418 + 4.47538i −0.628734 + 0.428664i −0.835319 0.549765i \(-0.814717\pi\)
0.206585 + 0.978429i \(0.433765\pi\)
\(110\) 2.05967 + 5.24795i 0.196382 + 0.500373i
\(111\) −2.96266 6.50992i −0.281203 0.617894i
\(112\) −6.05631 + 1.54345i −0.572268 + 0.145843i
\(113\) −0.185752 + 2.47869i −0.0174741 + 0.233175i 0.981628 + 0.190805i \(0.0611099\pi\)
−0.999102 + 0.0423701i \(0.986509\pi\)
\(114\) −0.641880 4.99173i −0.0601176 0.467519i
\(115\) −16.6554 + 20.8852i −1.55312 + 1.94755i
\(116\) 3.60335 6.24119i 0.334563 0.579480i
\(117\) −1.79881 9.83089i −0.166300 0.908866i
\(118\) 2.29070 2.87244i 0.210876 0.264430i
\(119\) −3.49660 0.706103i −0.320533 0.0647283i
\(120\) −11.0596 6.70958i −1.00960 0.612498i
\(121\) −1.95953 2.45717i −0.178139 0.223379i
\(122\) −4.04798 2.75986i −0.366487 0.249866i
\(123\) −0.332267 1.16652i −0.0299595 0.105182i
\(124\) 10.4517 1.57533i 0.938587 0.141469i
\(125\) 9.62971 + 12.0753i 0.861307 + 1.08005i
\(126\) 3.92681 + 1.62464i 0.349828 + 0.144734i
\(127\) 2.12279 2.66190i 0.188368 0.236205i −0.678676 0.734438i \(-0.737446\pi\)
0.867044 + 0.498232i \(0.166017\pi\)
\(128\) 5.75458 9.96722i 0.508638 0.880986i
\(129\) 6.11467 + 5.09735i 0.538367 + 0.448797i
\(130\) 6.62538 + 0.998616i 0.581085 + 0.0875844i
\(131\) 1.57542 6.90238i 0.137645 0.603064i −0.858304 0.513142i \(-0.828481\pi\)
0.995949 0.0899213i \(-0.0286615\pi\)
\(132\) −8.06771 2.02665i −0.702204 0.176397i
\(133\) 14.3412 + 0.712776i 1.24354 + 0.0618056i
\(134\) 6.90290 + 3.32426i 0.596320 + 0.287173i
\(135\) −7.30648 18.1004i −0.628841 1.55784i
\(136\) 2.21476 1.51000i 0.189914 0.129481i
\(137\) −3.20843 + 14.0570i −0.274114 + 1.20097i 0.630993 + 0.775789i \(0.282648\pi\)
−0.905107 + 0.425184i \(0.860209\pi\)
\(138\) 1.80648 + 6.34221i 0.153778 + 0.539885i
\(139\) 14.9577 + 4.61383i 1.26869 + 0.391340i 0.854787 0.518979i \(-0.173688\pi\)
0.413907 + 0.910319i \(0.364164\pi\)
\(140\) 11.2650 12.7701i 0.952064 1.07927i
\(141\) −5.19599 2.17061i −0.437581 0.182799i
\(142\) −0.350844 0.108221i −0.0294421 0.00908170i
\(143\) 9.23373 1.39176i 0.772164 0.116385i
\(144\) 6.51237 2.79473i 0.542698 0.232894i
\(145\) 1.18079 + 15.7566i 0.0980595 + 1.30851i
\(146\) −3.09659 5.36345i −0.256276 0.443882i
\(147\) −6.54098 + 10.2086i −0.539491 + 0.841991i
\(148\) −3.53756 + 6.12724i −0.290786 + 0.503656i
\(149\) −10.3908 5.00396i −0.851251 0.409941i −0.0432090 0.999066i \(-0.513758\pi\)
−0.808042 + 0.589125i \(0.799472\pi\)
\(150\) 8.43757 0.448347i 0.688925 0.0366073i
\(151\) 11.9849 + 15.0285i 0.975314 + 1.22300i 0.974817 + 0.223005i \(0.0715866\pi\)
0.000496323 1.00000i \(0.499842\pi\)
\(152\) −7.90955 + 7.33899i −0.641549 + 0.595271i
\(153\) 4.04099 + 0.175593i 0.326695 + 0.0141959i
\(154\) −1.63233 + 3.61961i −0.131537 + 0.291677i
\(155\) −16.9879 + 15.7625i −1.36450 + 1.26607i
\(156\) −6.88006 + 7.09937i −0.550845 + 0.568405i
\(157\) 1.67353 0.516216i 0.133562 0.0411986i −0.227253 0.973836i \(-0.572975\pi\)
0.360816 + 0.932637i \(0.382498\pi\)
\(158\) −0.271209 3.61903i −0.0215762 0.287915i
\(159\) −12.9332 14.5603i −1.02567 1.15471i
\(160\) 1.47129 + 19.6329i 0.116315 + 1.55212i
\(161\) −18.7204 + 1.87715i −1.47537 + 0.147941i
\(162\) −4.68455 1.12878i −0.368053 0.0886854i
\(163\) −8.06728 + 2.48843i −0.631878 + 0.194909i −0.594118 0.804378i \(-0.702499\pi\)
−0.0377608 + 0.999287i \(0.512022\pi\)
\(164\) −0.748077 + 0.938059i −0.0584150 + 0.0732501i
\(165\) 17.1180 6.29296i 1.33264 0.489906i
\(166\) 7.53805 0.585067
\(167\) 2.39335 + 6.09816i 0.185203 + 0.471890i 0.993077 0.117466i \(-0.0374770\pi\)
−0.807874 + 0.589355i \(0.799382\pi\)
\(168\) −2.05776 8.87535i −0.158760 0.684748i
\(169\) −0.694874 + 1.77051i −0.0534518 + 0.136193i
\(170\) −0.990698 + 2.52426i −0.0759831 + 0.193602i
\(171\) −16.1898 + 1.72542i −1.23806 + 0.131946i
\(172\) 0.588476 7.85267i 0.0448709 0.598760i
\(173\) −13.9971 + 2.10972i −1.06418 + 0.160399i −0.657714 0.753268i \(-0.728476\pi\)
−0.406464 + 0.913667i \(0.633238\pi\)
\(174\) 3.33489 + 2.02319i 0.252817 + 0.153377i
\(175\) −2.99259 + 23.9202i −0.226218 + 1.80820i
\(176\) 2.41910 + 6.16378i 0.182347 + 0.464612i
\(177\) −9.12940 7.61051i −0.686208 0.572041i
\(178\) −3.23433 −0.242423
\(179\) −1.18767 3.02612i −0.0887704 0.226183i 0.879593 0.475726i \(-0.157815\pi\)
−0.968364 + 0.249543i \(0.919720\pi\)
\(180\) −10.3712 + 16.2869i −0.773020 + 1.21395i
\(181\) −20.9753 + 10.1012i −1.55908 + 0.750813i −0.997083 0.0763266i \(-0.975681\pi\)
−0.561996 + 0.827140i \(0.689967\pi\)
\(182\) 2.75549 + 3.83099i 0.204250 + 0.283972i
\(183\) −9.21049 + 12.8985i −0.680859 + 0.953481i
\(184\) 8.81482 11.0534i 0.649837 0.814870i
\(185\) −1.15923 15.4689i −0.0852286 1.13730i
\(186\) 0.729627 + 5.67412i 0.0534988 + 0.416046i
\(187\) −0.282426 + 3.76871i −0.0206530 + 0.275596i
\(188\) 1.23952 + 5.43067i 0.0904009 + 0.396072i
\(189\) 5.53034 12.5863i 0.402273 0.915520i
\(190\) 2.42890 10.6417i 0.176211 0.772030i
\(191\) 15.2006 + 4.68876i 1.09988 + 0.339267i 0.790988 0.611832i \(-0.209567\pi\)
0.308888 + 0.951098i \(0.400043\pi\)
\(192\) −2.84088 1.72349i −0.205023 0.124382i
\(193\) 13.1910 12.2395i 0.949511 0.881018i −0.0434980 0.999054i \(-0.513850\pi\)
0.993009 + 0.118036i \(0.0376597\pi\)
\(194\) −0.351311 0.169182i −0.0252226 0.0121466i
\(195\) 3.69515 21.3582i 0.264615 1.52949i
\(196\) 11.9783 0.602758i 0.855590 0.0430542i
\(197\) −2.85947 −0.203729 −0.101864 0.994798i \(-0.532481\pi\)
−0.101864 + 0.994798i \(0.532481\pi\)
\(198\) 1.19146 4.34179i 0.0846737 0.308557i
\(199\) −0.468176 0.144413i −0.0331881 0.0102372i 0.278117 0.960547i \(-0.410290\pi\)
−0.311305 + 0.950310i \(0.600766\pi\)
\(200\) −11.2944 14.1627i −0.798635 1.00146i
\(201\) 11.2364 22.0925i 0.792557 1.55828i
\(202\) −7.16301 6.64630i −0.503988 0.467632i
\(203\) −7.36193 + 8.34554i −0.516706 + 0.585742i
\(204\) −2.18161 3.35404i −0.152743 0.234829i
\(205\) 0.196587 2.62327i 0.0137302 0.183217i
\(206\) −5.33233 4.94768i −0.371521 0.344721i
\(207\) 20.6394 5.39722i 1.43454 0.375133i
\(208\) 7.78159 + 1.17289i 0.539556 + 0.0813250i
\(209\) −1.13684 15.1701i −0.0786370 1.04934i
\(210\) 6.77777 + 6.24577i 0.467711 + 0.430999i
\(211\) −0.282618 + 3.77127i −0.0194562 + 0.259625i 0.978990 + 0.203907i \(0.0653639\pi\)
−0.998447 + 0.0557182i \(0.982255\pi\)
\(212\) −4.28676 + 18.7815i −0.294416 + 1.28992i
\(213\) −0.374659 + 1.12713i −0.0256712 + 0.0772294i
\(214\) −3.08601 −0.210956
\(215\) 8.63266 + 14.9522i 0.588743 + 1.01973i
\(216\) 3.86694 + 9.57961i 0.263112 + 0.651810i
\(217\) −16.3017 0.810215i −1.10663 0.0550010i
\(218\) −1.55401 + 3.95955i −0.105251 + 0.268175i
\(219\) −17.5644 + 9.63854i −1.18689 + 0.651312i
\(220\) −14.9063 10.1629i −1.00498 0.685184i
\(221\) 3.71112 + 2.53020i 0.249637 + 0.170199i
\(222\) −3.27400 1.98625i −0.219737 0.133308i
\(223\) 6.19669 15.7889i 0.414961 1.05730i −0.558714 0.829361i \(-0.688705\pi\)
0.973675 0.227942i \(-0.0731998\pi\)
\(224\) −9.17307 + 10.3987i −0.612902 + 0.694790i
\(225\) −0.857455 27.3210i −0.0571636 1.82140i
\(226\) 0.665409 + 1.15252i 0.0442623 + 0.0766646i
\(227\) 20.2806 1.34607 0.673036 0.739610i \(-0.264990\pi\)
0.673036 + 0.739610i \(0.264990\pi\)
\(228\) 10.6957 + 12.0413i 0.708339 + 0.797454i
\(229\) 2.38621 10.4547i 0.157685 0.690864i −0.832838 0.553517i \(-0.813285\pi\)
0.990523 0.137347i \(-0.0438575\pi\)
\(230\) −1.06881 + 14.2623i −0.0704753 + 0.940427i
\(231\) 11.5922 + 5.53366i 0.762710 + 0.364088i
\(232\) −0.624932 8.33914i −0.0410288 0.547492i
\(233\) 7.68416 + 1.15820i 0.503406 + 0.0758762i 0.395836 0.918321i \(-0.370455\pi\)
0.107570 + 0.994198i \(0.465693\pi\)
\(234\) −3.76077 3.80636i −0.245849 0.248830i
\(235\) −8.95277 8.30695i −0.584014 0.541886i
\(236\) −0.878614 + 11.7243i −0.0571929 + 0.763186i
\(237\) −11.7240 + 0.622979i −0.761557 + 0.0404668i
\(238\) −1.75975 + 0.742226i −0.114068 + 0.0481113i
\(239\) −12.6181 11.7078i −0.816194 0.757318i 0.156927 0.987610i \(-0.449841\pi\)
−0.973121 + 0.230293i \(0.926032\pi\)
\(240\) 15.3482 0.815557i 0.990723 0.0526440i
\(241\) 5.54957 + 6.95894i 0.357479 + 0.448264i 0.927756 0.373188i \(-0.121735\pi\)
−0.570277 + 0.821453i \(0.693164\pi\)
\(242\) −1.60793 0.495980i −0.103361 0.0318828i
\(243\) −3.97982 + 15.0719i −0.255306 + 0.966860i
\(244\) 15.6782 1.00370
\(245\) −20.9546 + 15.8861i −1.33874 + 1.01492i
\(246\) −0.498812 0.415823i −0.0318031 0.0265119i
\(247\) −16.2894 7.84454i −1.03647 0.499136i
\(248\) 8.99081 8.34225i 0.570917 0.529734i
\(249\) 0.529446 24.3802i 0.0335523 1.54503i
\(250\) 7.90183 + 2.43739i 0.499756 + 0.154154i
\(251\) 2.17442 9.52676i 0.137248 0.601324i −0.858784 0.512337i \(-0.828780\pi\)
0.996033 0.0889870i \(-0.0283630\pi\)
\(252\) −13.3114 + 2.78318i −0.838540 + 0.175324i
\(253\) 4.43550 + 19.4332i 0.278857 + 1.22175i
\(254\) 0.136224 1.81779i 0.00854747 0.114058i
\(255\) 8.09458 + 3.38149i 0.506902 + 0.211757i
\(256\) −0.173761 2.31868i −0.0108601 0.144918i
\(257\) −15.6356 + 19.6065i −0.975324 + 1.22302i −0.000509018 1.00000i \(0.500162\pi\)
−0.974815 + 0.223017i \(0.928409\pi\)
\(258\) 4.24232 + 0.410714i 0.264116 + 0.0255699i
\(259\) 7.22751 8.19317i 0.449096 0.509099i
\(260\) −19.3180 + 9.30308i −1.19805 + 0.576953i
\(261\) 6.77779 10.6439i 0.419535 0.658840i
\(262\) −1.38486 3.52856i −0.0855568 0.217995i
\(263\) −13.2784 −0.818783 −0.409392 0.912359i \(-0.634259\pi\)
−0.409392 + 0.912359i \(0.634259\pi\)
\(264\) −9.05969 + 3.33054i −0.557585 + 0.204980i
\(265\) −15.4312 39.3180i −0.947929 2.41528i
\(266\) 6.55909 4.01003i 0.402163 0.245871i
\(267\) −0.227167 + 10.4607i −0.0139024 + 0.640186i
\(268\) −24.2442 + 3.65423i −1.48095 + 0.223218i
\(269\) −0.0629788 + 0.840394i −0.00383989 + 0.0512397i −0.998795 0.0490856i \(-0.984369\pi\)
0.994955 + 0.100325i \(0.0319883\pi\)
\(270\) −8.69131 5.80343i −0.528936 0.353186i
\(271\) 1.70690 4.34910i 0.103687 0.264189i −0.869610 0.493738i \(-0.835630\pi\)
0.973297 + 0.229549i \(0.0737252\pi\)
\(272\) −1.16359 + 2.96477i −0.0705527 + 0.179765i
\(273\) 12.5840 8.64295i 0.761620 0.523095i
\(274\) 2.82033 + 7.18608i 0.170382 + 0.434127i
\(275\) 25.5400 1.54012
\(276\) −16.2094 13.5126i −0.975693 0.813363i
\(277\) 2.59911 3.25918i 0.156165 0.195825i −0.697594 0.716494i \(-0.745746\pi\)
0.853759 + 0.520669i \(0.174317\pi\)
\(278\) 8.00838 2.47026i 0.480311 0.148156i
\(279\) 18.4029 1.96129i 1.10176 0.117419i
\(280\) 2.45296 19.6069i 0.146592 1.17173i
\(281\) −0.216771 2.89261i −0.0129315 0.172559i −0.999930 0.0118295i \(-0.996234\pi\)
0.986999 0.160729i \(-0.0513846\pi\)
\(282\) −2.95321 + 0.606911i −0.175861 + 0.0361410i
\(283\) 2.31102 + 30.8384i 0.137376 + 1.83315i 0.461504 + 0.887138i \(0.347310\pi\)
−0.324128 + 0.946013i \(0.605071\pi\)
\(284\) 1.12274 0.346318i 0.0666222 0.0205502i
\(285\) −34.2476 8.60317i −2.02866 0.509608i
\(286\) 3.66497 3.40060i 0.216714 0.201081i
\(287\) 1.41906 1.19123i 0.0837643 0.0703160i
\(288\) 8.44523 13.2624i 0.497640 0.781496i
\(289\) 11.1293 10.3265i 0.654666 0.607441i
\(290\) 5.27458 + 6.61411i 0.309734 + 0.388394i
\(291\) −0.571858 + 1.12436i −0.0335229 + 0.0659109i
\(292\) 17.8562 + 8.59907i 1.04495 + 0.503223i
\(293\) −3.22628 + 5.58808i −0.188481 + 0.326459i −0.944744 0.327809i \(-0.893690\pi\)
0.756263 + 0.654268i \(0.227023\pi\)
\(294\) 0.185407 + 6.48876i 0.0108132 + 0.378432i
\(295\) −12.8888 22.3241i −0.750418 1.29976i
\(296\) 0.613522 + 8.18689i 0.0356603 + 0.475853i
\(297\) −13.9589 4.15848i −0.809976 0.241300i
\(298\) −6.10581 + 0.920303i −0.353700 + 0.0533117i
\(299\) 22.6373 + 6.98269i 1.30915 + 0.403819i
\(300\) −21.5011 + 16.3957i −1.24137 + 0.946607i
\(301\) −3.29104 + 11.7063i −0.189692 + 0.674740i
\(302\) 9.83439 + 3.03351i 0.565906 + 0.174559i
\(303\) −21.9991 + 22.7004i −1.26382 + 1.30410i
\(304\) 2.85277 12.4988i 0.163617 0.716854i
\(305\) −28.4017 + 19.3639i −1.62627 + 1.10878i
\(306\) 1.84057 1.14110i 0.105219 0.0652322i
\(307\) 9.87422 + 4.75517i 0.563551 + 0.271392i 0.693894 0.720077i \(-0.255894\pi\)
−0.130343 + 0.991469i \(0.541608\pi\)
\(308\) −2.20904 12.5130i −0.125872 0.712995i
\(309\) −16.3767 + 16.8988i −0.931639 + 0.961337i
\(310\) −2.76093 + 12.0964i −0.156810 + 0.687032i
\(311\) −14.1343 2.13040i −0.801482 0.120804i −0.264487 0.964389i \(-0.585203\pi\)
−0.536995 + 0.843585i \(0.680441\pi\)
\(312\) −1.95565 + 11.3038i −0.110717 + 0.639952i
\(313\) 1.61565 2.79839i 0.0913220 0.158174i −0.816746 0.576998i \(-0.804224\pi\)
0.908068 + 0.418824i \(0.137557\pi\)
\(314\) 0.584629 0.733101i 0.0329925 0.0413713i
\(315\) 20.6766 21.4825i 1.16500 1.21040i
\(316\) 7.24106 + 9.08000i 0.407342 + 0.510790i
\(317\) −24.4090 + 3.67907i −1.37095 + 0.206637i −0.792893 0.609361i \(-0.791426\pi\)
−0.578054 + 0.815998i \(0.696188\pi\)
\(318\) −10.1127 2.54036i −0.567092 0.142456i
\(319\) 9.74160 + 6.64171i 0.545425 + 0.371864i
\(320\) −4.49324 5.63435i −0.251180 0.314970i
\(321\) −0.216751 + 9.98104i −0.0120978 + 0.557088i
\(322\) −7.71519 + 6.47653i −0.429951 + 0.360923i
\(323\) 4.56223 5.72086i 0.253849 0.318317i
\(324\) 14.4210 5.46020i 0.801167 0.303345i
\(325\) 15.1768 26.2871i 0.841859 1.45814i
\(326\) −2.81821 + 3.53392i −0.156086 + 0.195726i
\(327\) 12.6972 + 5.30421i 0.702154 + 0.293323i
\(328\) −0.104043 + 1.38836i −0.00574482 + 0.0766593i
\(329\) −0.216219 8.59900i −0.0119205 0.474078i
\(330\) 5.67453 7.94667i 0.312373 0.437450i
\(331\) 4.70326 + 11.9837i 0.258514 + 0.658684i 0.999923 0.0123695i \(-0.00393743\pi\)
−0.741409 + 0.671053i \(0.765842\pi\)
\(332\) −19.9310 + 13.5887i −1.09386 + 0.745778i
\(333\) −6.65404 + 10.4495i −0.364639 + 0.572631i
\(334\) 2.89797 + 1.97580i 0.158570 + 0.108111i
\(335\) 39.4060 36.5634i 2.15298 1.99767i
\(336\) 7.96056 + 7.33572i 0.434284 + 0.400197i
\(337\) 17.2354 + 15.9921i 0.938872 + 0.871146i 0.991845 0.127450i \(-0.0406791\pi\)
−0.0529726 + 0.998596i \(0.516870\pi\)
\(338\) 0.226599 + 0.992797i 0.0123254 + 0.0540010i
\(339\) 3.77432 2.07117i 0.204993 0.112491i
\(340\) −1.93098 8.46018i −0.104722 0.458818i
\(341\) 1.29225 + 17.2439i 0.0699793 + 0.933809i
\(342\) −6.64148 + 5.64615i −0.359130 + 0.305309i
\(343\) −18.3151 2.74898i −0.988923 0.148431i
\(344\) −4.56882 7.91343i −0.246334 0.426664i
\(345\) 46.0532 + 4.45857i 2.47942 + 0.240041i
\(346\) −5.55559 + 5.15484i −0.298670 + 0.277126i
\(347\) −7.10187 + 18.0953i −0.381248 + 0.971405i 0.603491 + 0.797370i \(0.293776\pi\)
−0.984739 + 0.174035i \(0.944319\pi\)
\(348\) −12.4648 + 0.662341i −0.668183 + 0.0355052i
\(349\) −3.47499 + 1.07189i −0.186012 + 0.0573772i −0.386362 0.922347i \(-0.626268\pi\)
0.200350 + 0.979724i \(0.435792\pi\)
\(350\) 5.89058 + 11.4842i 0.314865 + 0.613855i
\(351\) −12.5750 + 11.8960i −0.671204 + 0.634963i
\(352\) 12.1382 + 8.27567i 0.646967 + 0.441095i
\(353\) 7.45939 32.6817i 0.397023 1.73947i −0.241991 0.970279i \(-0.577800\pi\)
0.639014 0.769195i \(-0.279342\pi\)
\(354\) −6.33393 0.613209i −0.336644 0.0325917i
\(355\) −1.60615 + 2.01404i −0.0852454 + 0.106894i
\(356\) 8.55172 5.83047i 0.453240 0.309014i
\(357\) 2.27697 + 5.74367i 0.120510 + 0.303987i
\(358\) −1.43808 0.980464i −0.0760047 0.0518191i
\(359\) 13.5787 4.18846i 0.716654 0.221058i 0.0850800 0.996374i \(-0.472885\pi\)
0.631574 + 0.775316i \(0.282409\pi\)
\(360\) 0.702836 + 22.3944i 0.0370427 + 1.18029i
\(361\) −5.22697 + 9.05338i −0.275104 + 0.476494i
\(362\) −6.23230 + 10.7947i −0.327562 + 0.567354i
\(363\) −1.71707 + 5.16566i −0.0901230 + 0.271127i
\(364\) −14.1917 5.16205i −0.743848 0.270565i
\(365\) −42.9677 + 6.47633i −2.24903 + 0.338987i
\(366\) −0.184236 + 8.48380i −0.00963018 + 0.443456i
\(367\) 1.70149 0.819393i 0.0888169 0.0427719i −0.388948 0.921260i \(-0.627161\pi\)
0.477765 + 0.878488i \(0.341447\pi\)
\(368\) −1.25533 + 16.7512i −0.0654386 + 0.873217i
\(369\) −1.37992 + 1.58409i −0.0718359 + 0.0824646i
\(370\) −5.17828 6.49335i −0.269206 0.337573i
\(371\) 12.2295 27.1183i 0.634926 1.40791i
\(372\) −12.1578 13.6874i −0.630353 0.709657i
\(373\) 17.1172 0.886293 0.443146 0.896449i \(-0.353862\pi\)
0.443146 + 0.896449i \(0.353862\pi\)
\(374\) 1.01172 + 1.75235i 0.0523147 + 0.0906117i
\(375\) 8.43821 25.3856i 0.435747 1.31091i
\(376\) 4.73824 + 4.39644i 0.244356 + 0.226729i
\(377\) 12.6248 6.07978i 0.650210 0.313125i
\(378\) −1.34961 7.23578i −0.0694165 0.372168i
\(379\) 31.1682 + 15.0098i 1.60100 + 0.771002i 0.999609 0.0279509i \(-0.00889819\pi\)
0.601393 + 0.798953i \(0.294612\pi\)
\(380\) 12.7615 + 32.5157i 0.654650 + 1.66802i
\(381\) −5.86967 0.568262i −0.300712 0.0291130i
\(382\) 8.13843 2.51037i 0.416398 0.128442i
\(383\) 12.7508 6.14044i 0.651533 0.313762i −0.0787622 0.996893i \(-0.525097\pi\)
0.730295 + 0.683132i \(0.239382\pi\)
\(384\) −19.9064 + 1.05776i −1.01584 + 0.0539787i
\(385\) 19.4564 + 19.9394i 0.991590 + 1.01621i
\(386\) 2.14385 9.39284i 0.109119 0.478083i
\(387\) 1.62633 13.6920i 0.0826710 0.696005i
\(388\) 1.23387 0.185975i 0.0626400 0.00944147i
\(389\) 2.90791 + 12.7404i 0.147437 + 0.645964i 0.993592 + 0.113027i \(0.0360547\pi\)
−0.846155 + 0.532937i \(0.821088\pi\)
\(390\) −4.80708 10.5627i −0.243416 0.534864i
\(391\) −4.79386 + 8.30320i −0.242436 + 0.419911i
\(392\) 11.0902 8.40768i 0.560139 0.424652i
\(393\) −11.5096 + 4.23119i −0.580584 + 0.213435i
\(394\) −1.26494 + 0.862424i −0.0637269 + 0.0434483i
\(395\) −24.3320 7.50544i −1.22428 0.377639i
\(396\) 4.67657 + 13.6277i 0.235007 + 0.684820i
\(397\) −10.5539 + 9.79256i −0.529683 + 0.491474i −0.899072 0.437801i \(-0.855758\pi\)
0.369389 + 0.929275i \(0.379567\pi\)
\(398\) −0.250663 + 0.0773192i −0.0125646 + 0.00387566i
\(399\) −12.5089 21.4956i −0.626228 1.07613i
\(400\) 20.5672 + 6.34415i 1.02836 + 0.317208i
\(401\) 3.27912 1.57914i 0.163751 0.0788585i −0.350213 0.936670i \(-0.613891\pi\)
0.513964 + 0.857812i \(0.328176\pi\)
\(402\) −1.69248 13.1620i −0.0844133 0.656460i
\(403\) 18.5162 + 8.91691i 0.922356 + 0.444183i
\(404\) 30.9206 + 4.66052i 1.53836 + 0.231870i
\(405\) −19.3804 + 27.7025i −0.963019 + 1.37655i
\(406\) −0.739657 + 5.91220i −0.0367086 + 0.293417i
\(407\) −9.56374 6.52045i −0.474057 0.323207i
\(408\) −4.28404 1.78965i −0.212092 0.0886008i
\(409\) 19.5778 + 2.95087i 0.968059 + 0.145911i 0.613995 0.789310i \(-0.289562\pi\)
0.354064 + 0.935221i \(0.384800\pi\)
\(410\) −0.704221 1.21975i −0.0347790 0.0602389i
\(411\) 23.4399 8.61702i 1.15621 0.425046i
\(412\) 23.0181 + 3.46942i 1.13402 + 0.170926i
\(413\) 4.91363 17.4779i 0.241784 0.860031i
\(414\) 7.50243 8.61246i 0.368724 0.423279i
\(415\) 19.3225 49.2330i 0.948505 2.41675i
\(416\) 15.7307 7.57550i 0.771260 0.371419i
\(417\) −7.42703 26.0749i −0.363703 1.27689i
\(418\) −5.07825 6.36792i −0.248385 0.311465i
\(419\) −10.8999 + 1.64290i −0.532497 + 0.0802610i −0.409786 0.912182i \(-0.634397\pi\)
−0.122710 + 0.992443i \(0.539159\pi\)
\(420\) −29.1799 4.29596i −1.42383 0.209621i
\(421\) 32.2413 + 4.85960i 1.57135 + 0.236842i 0.876172 0.481999i \(-0.160089\pi\)
0.695174 + 0.718841i \(0.255327\pi\)
\(422\) 1.01240 + 1.75354i 0.0492831 + 0.0853608i
\(423\) 1.75550 + 9.59415i 0.0853552 + 0.466484i
\(424\) 8.16692 + 20.8090i 0.396621 + 1.01057i
\(425\) 9.00533 + 8.35572i 0.436823 + 0.405312i
\(426\) 0.174207 + 0.611605i 0.00844034 + 0.0296324i
\(427\) −23.7313 4.79230i −1.14844 0.231916i
\(428\) 8.15958 5.56311i 0.394408 0.268903i
\(429\) −10.7411 12.0924i −0.518584 0.583826i
\(430\) 8.32846 + 4.01078i 0.401634 + 0.193417i
\(431\) −11.3222 10.5054i −0.545370 0.506030i 0.358677 0.933462i \(-0.383228\pi\)
−0.904048 + 0.427432i \(0.859418\pi\)
\(432\) −10.2080 6.81619i −0.491134 0.327944i
\(433\) −5.00988 21.9497i −0.240759 1.05484i −0.940328 0.340270i \(-0.889481\pi\)
0.699568 0.714566i \(-0.253376\pi\)
\(434\) −7.45573 + 4.55821i −0.357887 + 0.218801i
\(435\) 21.7624 16.5949i 1.04343 0.795666i
\(436\) −3.02894 13.2706i −0.145060 0.635548i
\(437\) 14.0997 35.9254i 0.674478 1.71854i
\(438\) −4.86296 + 9.56128i −0.232361 + 0.456856i
\(439\) −8.19427 + 5.58676i −0.391091 + 0.266641i −0.742862 0.669445i \(-0.766532\pi\)
0.351771 + 0.936086i \(0.385580\pi\)
\(440\) −20.9346 −0.998018
\(441\) 20.9995 0.143912i 0.999977 0.00685295i
\(442\) 2.40480 0.114385
\(443\) −29.3173 + 19.9882i −1.39291 + 0.949667i −0.393364 + 0.919383i \(0.628689\pi\)
−0.999541 + 0.0302844i \(0.990359\pi\)
\(444\) 12.2372 0.650248i 0.580752 0.0308594i
\(445\) −8.29064 + 21.1242i −0.393014 + 1.00138i
\(446\) −2.02075 8.85348i −0.0956852 0.419224i
\(447\) 2.54767 + 19.8125i 0.120501 + 0.937101i
\(448\) 0.630090 5.03641i 0.0297689 0.237948i
\(449\) −2.45012 10.7347i −0.115628 0.506601i −0.999262 0.0384211i \(-0.987767\pi\)
0.883633 0.468180i \(-0.155090\pi\)
\(450\) −8.61940 11.8274i −0.406322 0.557548i
\(451\) −1.43893 1.33513i −0.0677566 0.0628689i
\(452\) −3.83701 1.84780i −0.180478 0.0869134i
\(453\) 10.5020 31.5941i 0.493425 1.48442i
\(454\) 8.97154 6.11669i 0.421055 0.287071i
\(455\) 32.0844 8.17672i 1.50414 0.383331i
\(456\) 18.1255 + 4.55321i 0.848804 + 0.213224i
\(457\) −23.6243 21.9202i −1.10510 1.02538i −0.999520 0.0309722i \(-0.990140\pi\)
−0.105580 0.994411i \(-0.533670\pi\)
\(458\) −2.09757 5.34452i −0.0980130 0.249733i
\(459\) −3.56136 6.03308i −0.166230 0.281600i
\(460\) −22.8844 39.6369i −1.06699 1.84808i
\(461\) −17.6113 2.65448i −0.820242 0.123632i −0.274503 0.961586i \(-0.588513\pi\)
−0.545740 + 0.837955i \(0.683751\pi\)
\(462\) 6.79701 1.04832i 0.316225 0.0487721i
\(463\) 25.4229 3.83188i 1.18150 0.178083i 0.471230 0.882010i \(-0.343810\pi\)
0.710272 + 0.703928i \(0.248572\pi\)
\(464\) 6.19505 + 7.76835i 0.287598 + 0.360637i
\(465\) 38.9294 + 9.77925i 1.80531 + 0.453502i
\(466\) 3.74856 1.80521i 0.173649 0.0836248i
\(467\) 2.28066 5.81103i 0.105536 0.268903i −0.868345 0.495961i \(-0.834816\pi\)
0.973881 + 0.227059i \(0.0729110\pi\)
\(468\) 16.8053 + 3.28475i 0.776827 + 0.151838i
\(469\) 37.8142 + 1.87942i 1.74610 + 0.0867835i
\(470\) −6.46584 0.974568i −0.298247 0.0449535i
\(471\) −2.32999 1.94234i −0.107360 0.0894985i
\(472\) 6.82140 + 11.8150i 0.313980 + 0.543830i
\(473\) 12.7392 + 1.92013i 0.585751 + 0.0882877i
\(474\) −4.99847 + 3.81159i −0.229587 + 0.175072i
\(475\) −40.8569 27.8558i −1.87465 1.27811i
\(476\) 3.31488 5.13476i 0.151937 0.235351i
\(477\) −8.92652 + 32.5289i −0.408717 + 1.48940i
\(478\) −9.11297 1.37356i −0.416818 0.0628252i
\(479\) 29.4391 + 14.1771i 1.34510 + 0.647768i 0.961264 0.275631i \(-0.0888867\pi\)
0.383841 + 0.923399i \(0.374601\pi\)
\(480\) 27.1163 20.6775i 1.23768 0.943796i
\(481\) −12.3943 + 5.96878i −0.565131 + 0.272153i
\(482\) 4.55380 + 1.40466i 0.207420 + 0.0639805i
\(483\) 20.4050 + 25.4080i 0.928461 + 1.15610i
\(484\) 5.14554 1.58719i 0.233888 0.0721449i
\(485\) −2.00550 + 1.86083i −0.0910650 + 0.0844959i
\(486\) 2.78516 + 7.86767i 0.126338 + 0.356885i
\(487\) 2.10697 + 0.649915i 0.0954761 + 0.0294505i 0.342125 0.939654i \(-0.388853\pi\)
−0.246649 + 0.969105i \(0.579330\pi\)
\(488\) 15.0315 10.2483i 0.680445 0.463920i
\(489\) 11.2318 + 9.36309i 0.507918 + 0.423414i
\(490\) −4.47840 + 13.3475i −0.202313 + 0.602978i
\(491\) −1.46749 + 2.54177i −0.0662269 + 0.114708i −0.897238 0.441548i \(-0.854429\pi\)
0.831011 + 0.556256i \(0.187763\pi\)
\(492\) 2.06848 + 0.200257i 0.0932543 + 0.00902827i
\(493\) 1.26194 + 5.52893i 0.0568350 + 0.249010i
\(494\) −9.57187 + 1.44273i −0.430659 + 0.0649113i
\(495\) −25.3032 18.9112i −1.13729 0.849995i
\(496\) −3.24275 + 14.2074i −0.145604 + 0.637931i
\(497\) −1.80529 + 0.181022i −0.0809782 + 0.00811994i
\(498\) −7.11893 10.9448i −0.319007 0.490446i
\(499\) 19.8446 9.55665i 0.888366 0.427814i 0.0666927 0.997774i \(-0.478755\pi\)
0.821673 + 0.569959i \(0.193041\pi\)
\(500\) −25.2867 + 7.79991i −1.13086 + 0.348823i
\(501\) 6.59385 9.23408i 0.294591 0.412548i
\(502\) −1.91140 4.87017i −0.0853100 0.217366i
\(503\) −20.8126 10.0228i −0.927986 0.446894i −0.0920703 0.995753i \(-0.529348\pi\)
−0.835916 + 0.548858i \(0.815063\pi\)
\(504\) −10.9431 + 11.3696i −0.487443 + 0.506442i
\(505\) −61.7699 + 29.7468i −2.74872 + 1.32372i
\(506\) 7.82324 + 7.25890i 0.347785 + 0.322698i
\(507\) 3.22690 0.663156i 0.143312 0.0294518i
\(508\) 2.91671 + 5.05189i 0.129408 + 0.224141i
\(509\) −22.5733 −1.00054 −0.500271 0.865869i \(-0.666766\pi\)
−0.500271 + 0.865869i \(0.666766\pi\)
\(510\) 4.60067 0.945477i 0.203721 0.0418664i
\(511\) −24.3995 18.4740i −1.07937 0.817241i
\(512\) 13.5755 + 17.0231i 0.599958 + 0.752323i
\(513\) 17.7948 + 21.8770i 0.785659 + 0.965892i
\(514\) −1.00337 + 13.3891i −0.0442568 + 0.590566i
\(515\) −45.9831 + 22.1443i −2.02626 + 0.975794i
\(516\) −11.9573 + 6.56162i −0.526391 + 0.288859i
\(517\) −9.01138 + 1.35825i −0.396320 + 0.0597356i
\(518\) 0.726153 5.80425i 0.0319053 0.255024i
\(519\) 16.2820 + 18.3304i 0.714700 + 0.804616i
\(520\) −12.4401 + 21.5469i −0.545535 + 0.944894i
\(521\) −3.02037 + 5.23143i −0.132325 + 0.229193i −0.924572 0.381007i \(-0.875577\pi\)
0.792248 + 0.610200i \(0.208911\pi\)
\(522\) −0.211931 6.75274i −0.00927598 0.295559i
\(523\) 25.1751 7.76548i 1.10083 0.339561i 0.309468 0.950910i \(-0.399849\pi\)
0.791361 + 0.611349i \(0.209373\pi\)
\(524\) 10.0225 + 6.83323i 0.437835 + 0.298511i
\(525\) 37.5568 18.2452i 1.63911 0.796285i
\(526\) −5.87398 + 4.00481i −0.256118 + 0.174618i
\(527\) −5.18590 + 6.50291i −0.225901 + 0.283271i
\(528\) 6.66480 9.33344i 0.290048 0.406186i
\(529\) −6.13450 + 26.8770i −0.266717 + 1.16856i
\(530\) −18.6847 12.7390i −0.811612 0.553347i
\(531\) −2.42816 + 20.4426i −0.105373 + 0.887135i
\(532\) −10.1137 + 22.4267i −0.438487 + 0.972320i
\(533\) −2.22925 + 0.687632i −0.0965595 + 0.0297847i
\(534\) 3.05449 + 4.69603i 0.132181 + 0.203217i
\(535\) −7.91047 + 20.1556i −0.341999 + 0.871400i
\(536\) −20.8556 + 19.3511i −0.900823 + 0.835842i
\(537\) −3.27210 + 4.58228i −0.141202 + 0.197740i
\(538\) 0.225605 + 0.390760i 0.00972654 + 0.0168469i
\(539\) −0.481093 + 19.6155i −0.0207221 + 0.844901i
\(540\) 33.4420 0.323106i 1.43912 0.0139043i
\(541\) 1.35270 + 18.0505i 0.0581570 + 0.776051i 0.947692 + 0.319185i \(0.103409\pi\)
−0.889535 + 0.456866i \(0.848972\pi\)
\(542\) −0.556622 2.43872i −0.0239089 0.104752i
\(543\) 34.4752 + 20.9152i 1.47947 + 0.897556i
\(544\) 1.57240 + 6.88913i 0.0674160 + 0.295369i
\(545\) 21.8774 + 20.2993i 0.937125 + 0.869525i
\(546\) 2.96006 7.61876i 0.126679 0.326053i
\(547\) 15.1783 14.0834i 0.648977 0.602163i −0.285417 0.958403i \(-0.592132\pi\)
0.934394 + 0.356240i \(0.115942\pi\)
\(548\) −20.4113 13.9162i −0.871929 0.594471i
\(549\) 27.4261 + 1.19174i 1.17052 + 0.0508624i
\(550\) 11.2981 7.70295i 0.481755 0.328455i
\(551\) −8.33993 21.2498i −0.355293 0.905271i
\(552\) −24.3736 2.35969i −1.03741 0.100435i
\(553\) −8.18497 15.9573i −0.348060 0.678573i
\(554\) 0.166790 2.22566i 0.00708624 0.0945592i
\(555\) −21.3650 + 16.2919i −0.906895 + 0.691554i
\(556\) −16.7215 + 20.9681i −0.709148 + 0.889244i
\(557\) 15.4431 26.7483i 0.654346 1.13336i −0.327712 0.944778i \(-0.606277\pi\)
0.982057 0.188582i \(-0.0603892\pi\)
\(558\) 7.54938 6.41800i 0.319591 0.271696i
\(559\) 9.54642 11.9708i 0.403771 0.506312i
\(560\) 10.7152 + 20.8901i 0.452798 + 0.882767i
\(561\) 5.73864 3.14910i 0.242286 0.132955i
\(562\) −0.968313 1.21423i −0.0408458 0.0512190i
\(563\) 22.5793 + 15.3943i 0.951605 + 0.648793i 0.936342 0.351090i \(-0.114189\pi\)
0.0152631 + 0.999884i \(0.495141\pi\)
\(564\) 6.71438 6.92841i 0.282726 0.291739i
\(565\) 9.23307 1.39166i 0.388438 0.0585477i
\(566\) 10.3233 + 12.9450i 0.433919 + 0.544118i
\(567\) −23.4973 + 3.85681i −0.986796 + 0.161971i
\(568\) 0.850050 1.06593i 0.0356673 0.0447254i
\(569\) −4.03224 + 6.98404i −0.169040 + 0.292786i −0.938083 0.346412i \(-0.887400\pi\)
0.769043 + 0.639198i \(0.220733\pi\)
\(570\) −17.7449 + 6.52340i −0.743251 + 0.273235i
\(571\) −32.9521 4.96673i −1.37900 0.207851i −0.582669 0.812710i \(-0.697991\pi\)
−0.796333 + 0.604859i \(0.793230\pi\)
\(572\) −3.56017 + 15.5981i −0.148858 + 0.652191i
\(573\) −7.54764 26.4983i −0.315307 1.10698i
\(574\) 0.268471 0.954956i 0.0112058 0.0398591i
\(575\) 58.3764 + 28.1126i 2.43446 + 1.17238i
\(576\) 0.180537 + 5.75244i 0.00752239 + 0.239685i
\(577\) −27.4854 + 18.7392i −1.14423 + 0.780124i −0.978541 0.206054i \(-0.933938\pi\)
−0.165691 + 0.986178i \(0.552985\pi\)
\(578\) 1.80878 7.92477i 0.0752352 0.329627i
\(579\) −30.2285 7.59355i −1.25625 0.315577i
\(580\) −25.8694 7.97966i −1.07417 0.331337i
\(581\) 34.3221 14.4763i 1.42392 0.600579i
\(582\) 0.0861358 + 0.669855i 0.00357044 + 0.0277664i
\(583\) −30.1169 9.28984i −1.24732 0.384746i
\(584\) 22.7406 3.42759i 0.941011 0.141835i
\(585\) −34.5004 + 14.8056i −1.42642 + 0.612135i
\(586\) 0.258171 + 3.44505i 0.0106650 + 0.142314i
\(587\) 6.44215 + 11.1581i 0.265896 + 0.460546i 0.967798 0.251728i \(-0.0809988\pi\)
−0.701902 + 0.712274i \(0.747665\pi\)
\(588\) −12.1874 16.8224i −0.502600 0.693744i
\(589\) 16.7402 28.9949i 0.689767 1.19471i
\(590\) −12.4347 5.98822i −0.511927 0.246531i
\(591\) 2.70048 + 4.15176i 0.111083 + 0.170780i
\(592\) −6.08194 7.62651i −0.249966 0.313448i
\(593\) 16.6093 15.4112i 0.682062 0.632861i −0.261055 0.965324i \(-0.584070\pi\)
0.943116 + 0.332463i \(0.107880\pi\)
\(594\) −7.42920 + 2.37045i −0.304824 + 0.0972607i
\(595\) 0.336837 + 13.3960i 0.0138090 + 0.549181i
\(596\) 14.4851 13.4402i 0.593331 0.550531i
\(597\) 0.232466 + 0.816144i 0.00951422 + 0.0334026i
\(598\) 12.1201 3.73855i 0.495627 0.152881i
\(599\) 2.54025 + 33.8973i 0.103792 + 1.38501i 0.769430 + 0.638731i \(0.220540\pi\)
−0.665638 + 0.746275i \(0.731840\pi\)
\(600\) −9.89694 + 29.7740i −0.404041 + 1.21552i
\(601\) −1.49278 19.9198i −0.0608918 0.812544i −0.941137 0.338025i \(-0.890241\pi\)
0.880245 0.474519i \(-0.157378\pi\)
\(602\) 2.07480 + 6.17111i 0.0845624 + 0.251515i
\(603\) −42.6885 + 4.54951i −1.73841 + 0.185270i
\(604\) −31.4711 + 9.70755i −1.28054 + 0.394994i
\(605\) −7.36102 + 9.23043i −0.299268 + 0.375270i
\(606\) −2.88525 + 16.6770i −0.117205 + 0.677456i
\(607\) 14.4609 0.586951 0.293475 0.955967i \(-0.405188\pi\)
0.293475 + 0.955967i \(0.405188\pi\)
\(608\) −10.3917 26.4776i −0.421438 1.07381i
\(609\) 19.0698 + 2.80751i 0.772746 + 0.113766i
\(610\) −6.72384 + 17.1321i −0.272240 + 0.693657i
\(611\) −3.95692 + 10.0821i −0.160080 + 0.407877i
\(612\) −2.80953 + 6.33509i −0.113569 + 0.256081i
\(613\) 2.86626 38.2476i 0.115767 1.54481i −0.572838 0.819669i \(-0.694158\pi\)
0.688605 0.725137i \(-0.258223\pi\)
\(614\) 5.80223 0.874546i 0.234159 0.0352938i
\(615\) −3.99446 + 2.19198i −0.161072 + 0.0883891i
\(616\) −10.2973 10.5529i −0.414889 0.425189i
\(617\) −5.27525 13.4411i −0.212373 0.541119i 0.784500 0.620128i \(-0.212919\pi\)
−0.996874 + 0.0790097i \(0.974824\pi\)
\(618\) −2.14786 + 12.4148i −0.0863995 + 0.499395i
\(619\) −31.3713 −1.26092 −0.630459 0.776222i \(-0.717133\pi\)
−0.630459 + 0.776222i \(0.717133\pi\)
\(620\) −14.5060 36.9607i −0.582575 1.48438i
\(621\) −27.3282 24.8699i −1.09664 0.997994i
\(622\) −6.89513 + 3.32052i −0.276469 + 0.133141i
\(623\) −14.7265 + 6.21131i −0.590004 + 0.248851i
\(624\) −5.64597 12.4060i −0.226020 0.496638i
\(625\) 7.76968 9.74286i 0.310787 0.389715i
\(626\) −0.129287 1.72521i −0.00516733 0.0689532i
\(627\) −20.9523 + 15.9772i −0.836756 + 0.638069i
\(628\) −0.224239 + 2.99226i −0.00894810 + 0.119404i
\(629\) −1.23890 5.42798i −0.0493982 0.216428i
\(630\) 2.66753 15.7394i 0.106277 0.627072i
\(631\) 3.31254 14.5132i 0.131870 0.577760i −0.865211 0.501408i \(-0.832816\pi\)
0.997081 0.0763522i \(-0.0243273\pi\)
\(632\) 12.8777 + 3.97224i 0.512247 + 0.158007i
\(633\) 5.74254 3.15124i 0.228245 0.125251i
\(634\) −9.68820 + 8.98934i −0.384768 + 0.357012i
\(635\) −11.5232 5.54930i −0.457286 0.220217i
\(636\) 31.3180 11.5132i 1.24184 0.456527i
\(637\) 19.9034 + 12.1514i 0.788601 + 0.481458i
\(638\) 6.31255 0.249916
\(639\) 1.99034 0.520476i 0.0787366 0.0205897i
\(640\) −41.3136 12.7436i −1.63307 0.503734i
\(641\) −23.1660 29.0492i −0.915001 1.14737i −0.988672 0.150092i \(-0.952043\pi\)
0.0736710 0.997283i \(-0.476529\pi\)
\(642\) 2.91443 + 4.48069i 0.115023 + 0.176839i
\(643\) −24.4711 22.7059i −0.965047 0.895433i 0.0295164 0.999564i \(-0.490603\pi\)
−0.994564 + 0.104131i \(0.966794\pi\)
\(644\) 8.72424 31.0323i 0.343783 1.22284i
\(645\) 13.5569 26.6549i 0.533804 1.04954i
\(646\) 0.292768 3.90672i 0.0115188 0.153708i
\(647\) −1.39904 1.29812i −0.0550019 0.0510343i 0.652193 0.758053i \(-0.273849\pi\)
−0.707195 + 0.707019i \(0.750040\pi\)
\(648\) 10.2570 14.6615i 0.402934 0.575959i
\(649\) −19.0201 2.86682i −0.746604 0.112532i
\(650\) −1.21447 16.2060i −0.0476355 0.635651i
\(651\) 14.2189 + 24.4341i 0.557282 + 0.957648i
\(652\) 1.08095 14.4242i 0.0423331 0.564896i
\(653\) −2.46453 + 10.7978i −0.0964446 + 0.422551i −0.999982 0.00595737i \(-0.998104\pi\)
0.903538 + 0.428509i \(0.140961\pi\)
\(654\) 7.21661 1.48307i 0.282192 0.0579928i
\(655\) −26.5958 −1.03918
\(656\) −0.827115 1.43260i −0.0322934 0.0559338i
\(657\) 30.5823 + 16.3997i 1.19313 + 0.639815i
\(658\) −2.68913 3.73873i −0.104833 0.145751i
\(659\) 4.22868 10.7745i 0.164726 0.419715i −0.824547 0.565794i \(-0.808570\pi\)
0.989273 + 0.146078i \(0.0466651\pi\)
\(660\) −0.678432 + 31.2408i −0.0264079 + 1.21605i
\(661\) −4.96005 3.38170i −0.192923 0.131533i 0.463006 0.886355i \(-0.346771\pi\)
−0.655930 + 0.754822i \(0.727723\pi\)
\(662\) 5.69490 + 3.88272i 0.221339 + 0.150906i
\(663\) 0.168905 7.77781i 0.00655971 0.302065i
\(664\) −10.2264 + 26.0565i −0.396861 + 1.01119i
\(665\) −9.37744 53.1181i −0.363642 2.05983i
\(666\) 0.208062 + 6.62944i 0.00806223 + 0.256886i
\(667\) 14.9555 + 25.9037i 0.579079 + 1.00299i
\(668\) −11.2241 −0.434275
\(669\) −28.7766 + 5.91383i −1.11257 + 0.228642i
\(670\) 6.40441 28.0595i 0.247424 1.08403i
\(671\) −1.91682 + 25.5781i −0.0739979 + 0.987433i
\(672\) 23.7612 + 3.49820i 0.916609 + 0.134946i
\(673\) 0.429909 + 5.73674i 0.0165718 + 0.221135i 0.999341 + 0.0362981i \(0.0115566\pi\)
−0.982769 + 0.184837i \(0.940824\pi\)
\(674\) 12.4477 + 1.87619i 0.479468 + 0.0722681i
\(675\) −38.8585 + 27.0469i −1.49566 + 1.04103i
\(676\) −2.38884 2.21652i −0.0918784 0.0852507i
\(677\) −1.13659 + 15.1668i −0.0436828 + 0.582906i 0.931820 + 0.362920i \(0.118220\pi\)
−0.975503 + 0.219986i \(0.929399\pi\)
\(678\) 1.04497 2.05457i 0.0401320 0.0789052i
\(679\) −1.92448 0.0956495i −0.0738550 0.00367069i
\(680\) −7.38147 6.84900i −0.283066 0.262647i
\(681\) −19.1530 29.4461i −0.733944 1.12838i
\(682\) 5.77246 + 7.23844i 0.221039 + 0.277174i
\(683\) 37.1437 + 11.4573i 1.42127 + 0.438402i 0.907690 0.419642i \(-0.137844\pi\)
0.513576 + 0.858044i \(0.328321\pi\)
\(684\) 7.38218 26.9012i 0.282265 1.02859i
\(685\) 54.1636 2.06948
\(686\) −8.93116 + 4.30782i −0.340993 + 0.164473i
\(687\) −17.4330 + 6.40875i −0.665111 + 0.244509i
\(688\) 9.78187 + 4.71070i 0.372930 + 0.179594i
\(689\) −27.4582 + 25.4775i −1.04607 + 0.970614i
\(690\) 21.7173 11.9174i 0.826762 0.453689i
\(691\) −20.6183 6.35990i −0.784357 0.241942i −0.123391 0.992358i \(-0.539377\pi\)
−0.660966 + 0.750416i \(0.729853\pi\)
\(692\) 5.39673 23.6446i 0.205153 0.898834i
\(693\) −2.91315 22.0571i −0.110661 0.837879i
\(694\) 2.31593 + 10.1468i 0.0879115 + 0.385165i
\(695\) 4.39422 58.6368i 0.166682 2.22422i
\(696\) −11.5177 + 8.78284i −0.436577 + 0.332913i
\(697\) −0.0705576 0.941526i −0.00267256 0.0356628i
\(698\) −1.21395 + 1.52224i −0.0459486 + 0.0576177i
\(699\) −5.57528 12.2507i −0.210876 0.463364i
\(700\) −36.2773 19.7459i −1.37115 0.746324i
\(701\) 21.0315 10.1282i 0.794349 0.382538i 0.00772463 0.999970i \(-0.497541\pi\)
0.786624 + 0.617432i \(0.211827\pi\)
\(702\) −1.97493 + 9.05511i −0.0745388 + 0.341763i
\(703\) 8.18765 + 20.8618i 0.308803 + 0.786818i
\(704\) −5.37746 −0.202671
\(705\) −3.60617 + 20.8439i −0.135816 + 0.785027i
\(706\) −6.55709 16.7072i −0.246779 0.628784i
\(707\) −45.3783 16.5058i −1.70663 0.620763i
\(708\) 17.8527 9.79671i 0.670944 0.368183i
\(709\) 43.1745 6.50750i 1.62145 0.244394i 0.725394 0.688334i \(-0.241657\pi\)
0.896057 + 0.443939i \(0.146419\pi\)
\(710\) −0.103070 + 1.37537i −0.00386814 + 0.0516168i
\(711\) 11.9767 + 16.4342i 0.449160 + 0.616329i
\(712\) 4.38781 11.1799i 0.164440 0.418986i
\(713\) −16.0271 + 40.8365i −0.600221 + 1.52934i
\(714\) 2.73957 + 1.85409i 0.102526 + 0.0693876i
\(715\) −12.8156 32.6537i −0.479277 1.22118i
\(716\) 5.56981 0.208154
\(717\) −5.08254 + 29.3775i −0.189811 + 1.09712i
\(718\) 4.74354 5.94821i 0.177027 0.221985i
\(719\) −30.8104 + 9.50375i −1.14903 + 0.354430i −0.810049 0.586362i \(-0.800560\pi\)
−0.338985 + 0.940792i \(0.610083\pi\)
\(720\) −15.6790 21.5144i −0.584321 0.801794i
\(721\) −33.7808 12.2873i −1.25806 0.457603i
\(722\) 0.418269 + 5.58141i 0.0155664 + 0.207719i
\(723\) 4.86291 14.6296i 0.180854 0.544081i
\(724\) −2.98083 39.7765i −0.110782 1.47828i
\(725\) 36.6222 11.2965i 1.36011 0.419540i
\(726\) 0.798394 + 2.80301i 0.0296312 + 0.104029i
\(727\) −0.400605 + 0.371707i −0.0148576 + 0.0137858i −0.687567 0.726121i \(-0.741321\pi\)
0.672709 + 0.739907i \(0.265131\pi\)
\(728\) −16.9806 + 4.32752i −0.629343 + 0.160388i
\(729\) 25.6419 8.45541i 0.949699 0.313163i
\(730\) −17.0543 + 15.8241i −0.631209 + 0.585676i
\(731\) 3.86362 + 4.84482i 0.142901 + 0.179192i
\(732\) −14.8065 22.7637i −0.547264 0.841372i
\(733\) −0.501718 0.241615i −0.0185314 0.00892425i 0.424595 0.905383i \(-0.360416\pi\)
−0.443126 + 0.896459i \(0.646131\pi\)
\(734\) 0.505556 0.875648i 0.0186604 0.0323208i
\(735\) 42.8550 + 15.4219i 1.58073 + 0.568845i
\(736\) 18.6348 + 32.2764i 0.686887 + 1.18972i
\(737\) −2.99757 39.9999i −0.110417 1.47341i
\(738\) −0.132670 + 1.11694i −0.00488365 + 0.0411153i
\(739\) −13.9970 + 2.10971i −0.514889 + 0.0776071i −0.401347 0.915926i \(-0.631458\pi\)
−0.113542 + 0.993533i \(0.536220\pi\)
\(740\) 25.3971 + 7.83397i 0.933616 + 0.287982i
\(741\) 3.99389 + 31.0594i 0.146719 + 1.14100i
\(742\) −2.76899 15.6848i −0.101653 0.575807i
\(743\) −3.80491 1.17366i −0.139588 0.0430573i 0.224174 0.974549i \(-0.428032\pi\)
−0.363762 + 0.931492i \(0.618508\pi\)
\(744\) −20.6033 5.17565i −0.755354 0.189749i
\(745\) −9.64046 + 42.2376i −0.353199 + 1.54747i
\(746\) 7.57212 5.16259i 0.277235 0.189016i
\(747\) −35.8984 + 22.2559i −1.31346 + 0.814301i
\(748\) −5.83396 2.80949i −0.213311 0.102725i
\(749\) −14.0512 + 5.92648i −0.513419 + 0.216549i
\(750\) −3.92355 13.7748i −0.143268 0.502985i
\(751\) 1.25907 5.51633i 0.0459440 0.201294i −0.946747 0.321979i \(-0.895652\pi\)
0.992691 + 0.120685i \(0.0385091\pi\)
\(752\) −7.59420 1.14464i −0.276932 0.0417408i
\(753\) −15.8858 + 5.83995i −0.578909 + 0.212819i
\(754\) 3.75115 6.49719i 0.136609 0.236614i
\(755\) 45.0214 56.4550i 1.63850 2.05461i
\(756\) 16.6123 + 16.6988i 0.604182 + 0.607331i
\(757\) −6.01563 7.54336i −0.218642 0.274168i 0.660399 0.750915i \(-0.270387\pi\)
−0.879041 + 0.476747i \(0.841816\pi\)
\(758\) 18.3149 2.76052i 0.665227 0.100267i
\(759\) 24.0268 24.7927i 0.872118 0.899919i
\(760\) 33.4895 + 22.8328i 1.21479 + 0.828232i
\(761\) −10.0649 12.6210i −0.364852 0.457510i 0.565191 0.824960i \(-0.308802\pi\)
−0.930043 + 0.367450i \(0.880231\pi\)
\(762\) −2.76795 + 1.51893i −0.100272 + 0.0550249i
\(763\) 0.528362 + 21.0129i 0.0191280 + 0.760719i
\(764\) −16.9930 + 21.3086i −0.614786 + 0.770917i
\(765\) −2.73480 14.9463i −0.0988771 0.540383i
\(766\) 3.78858 6.56201i 0.136887 0.237095i
\(767\) −14.2531 + 17.8728i −0.514650 + 0.645351i
\(768\) −3.20247 + 2.44205i −0.115559 + 0.0881199i
\(769\) −2.19783 + 29.3280i −0.0792557 + 1.05759i 0.805824 + 0.592155i \(0.201723\pi\)
−0.885080 + 0.465439i \(0.845896\pi\)
\(770\) 14.6207 + 2.95251i 0.526894 + 0.106401i