Properties

Label 384.2.v.a.229.16
Level $384$
Weight $2$
Character 384.229
Analytic conductor $3.066$
Analytic rank $0$
Dimension $512$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(512\)
Relative dimension: \(32\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 229.16
Character \(\chi\) \(=\) 384.229
Dual form 384.2.v.a.109.16

$q$-expansion

\(f(q)\) \(=\) \(q+(0.135367 + 1.40772i) q^{2} +(-0.881921 + 0.471397i) q^{3} +(-1.96335 + 0.381118i) q^{4} +(0.479522 + 0.584299i) q^{5} +(-0.782978 - 1.17769i) q^{6} +(-1.19710 + 0.799874i) q^{7} +(-0.802280 - 2.71226i) q^{8} +(0.555570 - 0.831470i) q^{9} +O(q^{10})\) \(q+(0.135367 + 1.40772i) q^{2} +(-0.881921 + 0.471397i) q^{3} +(-1.96335 + 0.381118i) q^{4} +(0.479522 + 0.584299i) q^{5} +(-0.782978 - 1.17769i) q^{6} +(-1.19710 + 0.799874i) q^{7} +(-0.802280 - 2.71226i) q^{8} +(0.555570 - 0.831470i) q^{9} +(-0.757619 + 0.754128i) q^{10} +(-5.07266 + 1.53878i) q^{11} +(1.55186 - 1.26163i) q^{12} +(-2.10830 - 1.73023i) q^{13} +(-1.28805 - 1.57690i) q^{14} +(-0.698338 - 0.289261i) q^{15} +(3.70950 - 1.49654i) q^{16} +(-1.24782 + 0.516862i) q^{17} +(1.24568 + 0.669534i) q^{18} +(0.153615 + 1.55968i) q^{19} +(-1.16416 - 0.964431i) q^{20} +(0.678687 - 1.26973i) q^{21} +(-2.85284 - 6.93259i) q^{22} +(-0.945999 + 0.188171i) q^{23} +(1.98610 + 2.01381i) q^{24} +(0.863987 - 4.34356i) q^{25} +(2.15029 - 3.20211i) q^{26} +(-0.0980171 + 0.995185i) q^{27} +(2.04547 - 2.02667i) q^{28} +(-0.526807 + 1.73665i) q^{29} +(0.312667 - 1.02222i) q^{30} +(-3.31414 - 3.31414i) q^{31} +(2.60885 + 5.01935i) q^{32} +(3.74832 - 3.74832i) q^{33} +(-0.896510 - 1.68661i) q^{34} +(-1.04140 - 0.315905i) q^{35} +(-0.773892 + 1.84420i) q^{36} +(-3.16669 - 0.311892i) q^{37} +(-2.17480 + 0.427377i) q^{38} +(2.67498 + 0.532086i) q^{39} +(1.20006 - 1.76936i) q^{40} +(-0.0889007 - 0.446934i) q^{41} +(1.87930 + 0.783521i) q^{42} +(-3.49287 - 1.86698i) q^{43} +(9.37297 - 4.95444i) q^{44} +(0.752235 - 0.0740887i) q^{45} +(-0.392949 - 1.30623i) q^{46} +(4.80239 + 11.5940i) q^{47} +(-2.56602 + 3.06847i) q^{48} +(-1.88554 + 4.55210i) q^{49} +(6.23147 + 0.628278i) q^{50} +(0.856828 - 1.04405i) q^{51} +(4.79875 + 2.59355i) q^{52} +(2.23575 + 7.37029i) q^{53} +(-1.41421 - 0.00326552i) q^{54} +(-3.33156 - 2.22608i) q^{55} +(3.12987 + 2.60511i) q^{56} +(-0.870705 - 1.30310i) q^{57} +(-2.51603 - 0.506511i) q^{58} +(-9.65297 + 7.92198i) q^{59} +(1.48132 + 0.301772i) q^{60} +(1.18763 + 2.22190i) q^{61} +(4.21676 - 5.11401i) q^{62} +1.43974i q^{63} +(-6.71269 + 4.35198i) q^{64} -2.06156i q^{65} +(5.78398 + 4.76918i) q^{66} +(-1.46613 - 2.74294i) q^{67} +(2.25291 - 1.49035i) q^{68} +(0.745594 - 0.611893i) q^{69} +(0.303735 - 1.50876i) q^{70} +(2.89557 + 4.33353i) q^{71} +(-2.70088 - 0.839779i) q^{72} +(2.34943 + 1.56984i) q^{73} +(0.0103909 - 4.50004i) q^{74} +(1.28557 + 4.23796i) q^{75} +(-0.896023 - 3.00366i) q^{76} +(4.84164 - 5.89955i) q^{77} +(-0.386924 + 3.83765i) q^{78} +(-2.08351 + 5.03003i) q^{79} +(2.65321 + 1.44984i) q^{80} +(-0.382683 - 0.923880i) q^{81} +(0.617124 - 0.185648i) q^{82} +(-8.13622 + 0.801348i) q^{83} +(-0.848582 + 2.75159i) q^{84} +(-0.900357 - 0.481251i) q^{85} +(2.15536 - 5.16971i) q^{86} +(-0.354049 - 1.77992i) q^{87} +(8.24325 + 12.5238i) q^{88} +(13.4032 + 2.66607i) q^{89} +(0.206124 + 1.04891i) q^{90} +(3.90780 + 0.384885i) q^{91} +(1.78561 - 0.729983i) q^{92} +(4.48509 + 1.36054i) q^{93} +(-15.6710 + 8.32986i) q^{94} +(-0.837659 + 0.837659i) q^{95} +(-4.66691 - 3.19687i) q^{96} +(-7.32866 - 7.32866i) q^{97} +(-6.66333 - 2.03811i) q^{98} +(-1.53878 + 5.07266i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 512 q + O(q^{10}) \) \( 512 q - 96 q^{50} - 96 q^{52} - 32 q^{54} - 224 q^{56} - 192 q^{60} - 192 q^{62} - 192 q^{64} - 192 q^{66} - 192 q^{68} - 192 q^{70} - 224 q^{74} - 32 q^{76} - 96 q^{78} - 96 q^{80} + O(q^{100}) \)

Character values

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

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(1\) \(e\left(\frac{9}{32}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.135367 + 1.40772i 0.0957189 + 0.995408i
\(3\) −0.881921 + 0.471397i −0.509177 + 0.272161i
\(4\) −1.96335 + 0.381118i −0.981676 + 0.190559i
\(5\) 0.479522 + 0.584299i 0.214449 + 0.261307i 0.869113 0.494613i \(-0.164690\pi\)
−0.654665 + 0.755919i \(0.727190\pi\)
\(6\) −0.782978 1.17769i −0.319649 0.480789i
\(7\) −1.19710 + 0.799874i −0.452460 + 0.302324i −0.760840 0.648939i \(-0.775213\pi\)
0.308381 + 0.951263i \(0.400213\pi\)
\(8\) −0.802280 2.71226i −0.283649 0.958928i
\(9\) 0.555570 0.831470i 0.185190 0.277157i
\(10\) −0.757619 + 0.754128i −0.239580 + 0.238476i
\(11\) −5.07266 + 1.53878i −1.52947 + 0.463958i −0.939235 0.343276i \(-0.888463\pi\)
−0.590231 + 0.807234i \(0.700963\pi\)
\(12\) 1.55186 1.26163i 0.447985 0.364202i
\(13\) −2.10830 1.73023i −0.584736 0.479880i 0.294900 0.955528i \(-0.404714\pi\)
−0.879636 + 0.475648i \(0.842214\pi\)
\(14\) −1.28805 1.57690i −0.344245 0.421444i
\(15\) −0.698338 0.289261i −0.180310 0.0746868i
\(16\) 3.70950 1.49654i 0.927375 0.374134i
\(17\) −1.24782 + 0.516862i −0.302640 + 0.125357i −0.528835 0.848724i \(-0.677371\pi\)
0.226196 + 0.974082i \(0.427371\pi\)
\(18\) 1.24568 + 0.669534i 0.293610 + 0.157811i
\(19\) 0.153615 + 1.55968i 0.0352417 + 0.357815i 0.996592 + 0.0824875i \(0.0262865\pi\)
−0.961350 + 0.275328i \(0.911214\pi\)
\(20\) −1.16416 0.964431i −0.260313 0.215653i
\(21\) 0.678687 1.26973i 0.148102 0.277078i
\(22\) −2.85284 6.93259i −0.608227 1.47803i
\(23\) −0.945999 + 0.188171i −0.197255 + 0.0392364i −0.292729 0.956196i \(-0.594563\pi\)
0.0954742 + 0.995432i \(0.469563\pi\)
\(24\) 1.98610 + 2.01381i 0.405410 + 0.411066i
\(25\) 0.863987 4.34356i 0.172797 0.868711i
\(26\) 2.15029 3.20211i 0.421707 0.627985i
\(27\) −0.0980171 + 0.995185i −0.0188634 + 0.191523i
\(28\) 2.04547 2.02667i 0.386558 0.383004i
\(29\) −0.526807 + 1.73665i −0.0978256 + 0.322488i −0.992171 0.124890i \(-0.960142\pi\)
0.894345 + 0.447378i \(0.147642\pi\)
\(30\) 0.312667 1.02222i 0.0570848 0.186631i
\(31\) −3.31414 3.31414i −0.595237 0.595237i 0.343804 0.939041i \(-0.388284\pi\)
−0.939041 + 0.343804i \(0.888284\pi\)
\(32\) 2.60885 + 5.01935i 0.461183 + 0.887305i
\(33\) 3.74832 3.74832i 0.652498 0.652498i
\(34\) −0.896510 1.68661i −0.153750 0.289251i
\(35\) −1.04140 0.315905i −0.176029 0.0533977i
\(36\) −0.773892 + 1.84420i −0.128982 + 0.307367i
\(37\) −3.16669 0.311892i −0.520601 0.0512747i −0.165696 0.986177i \(-0.552987\pi\)
−0.354905 + 0.934902i \(0.615487\pi\)
\(38\) −2.17480 + 0.427377i −0.352799 + 0.0693296i
\(39\) 2.67498 + 0.532086i 0.428339 + 0.0852019i
\(40\) 1.20006 1.76936i 0.189746 0.279760i
\(41\) −0.0889007 0.446934i −0.0138840 0.0697994i 0.973222 0.229866i \(-0.0738289\pi\)
−0.987106 + 0.160067i \(0.948829\pi\)
\(42\) 1.87930 + 0.783521i 0.289982 + 0.120900i
\(43\) −3.49287 1.86698i −0.532658 0.284711i 0.183059 0.983102i \(-0.441400\pi\)
−0.715717 + 0.698390i \(0.753900\pi\)
\(44\) 9.37297 4.95444i 1.41303 0.746910i
\(45\) 0.752235 0.0740887i 0.112137 0.0110445i
\(46\) −0.392949 1.30623i −0.0579372 0.192593i
\(47\) 4.80239 + 11.5940i 0.700500 + 1.69116i 0.722473 + 0.691399i \(0.243005\pi\)
−0.0219728 + 0.999759i \(0.506995\pi\)
\(48\) −2.56602 + 3.06847i −0.370374 + 0.442896i
\(49\) −1.88554 + 4.55210i −0.269363 + 0.650301i
\(50\) 6.23147 + 0.628278i 0.881263 + 0.0888519i
\(51\) 0.856828 1.04405i 0.119980 0.146196i
\(52\) 4.79875 + 2.59355i 0.665466 + 0.359660i
\(53\) 2.23575 + 7.37029i 0.307104 + 1.01239i 0.965650 + 0.259846i \(0.0836719\pi\)
−0.658546 + 0.752541i \(0.728828\pi\)
\(54\) −1.41421 0.00326552i −0.192450 0.000444381i
\(55\) −3.33156 2.22608i −0.449227 0.300164i
\(56\) 3.12987 + 2.60511i 0.418247 + 0.348123i
\(57\) −0.870705 1.30310i −0.115328 0.172600i
\(58\) −2.51603 0.506511i −0.330371 0.0665082i
\(59\) −9.65297 + 7.92198i −1.25671 + 1.03135i −0.258852 + 0.965917i \(0.583344\pi\)
−0.997857 + 0.0654377i \(0.979156\pi\)
\(60\) 1.48132 + 0.301772i 0.191238 + 0.0389586i
\(61\) 1.18763 + 2.22190i 0.152060 + 0.284485i 0.946405 0.322983i \(-0.104686\pi\)
−0.794345 + 0.607467i \(0.792186\pi\)
\(62\) 4.21676 5.11401i 0.535529 0.649480i
\(63\) 1.43974i 0.181390i
\(64\) −6.71269 + 4.35198i −0.839087 + 0.543998i
\(65\) 2.06156i 0.255705i
\(66\) 5.78398 + 4.76918i 0.711959 + 0.587046i
\(67\) −1.46613 2.74294i −0.179116 0.335103i 0.776301 0.630363i \(-0.217094\pi\)
−0.955417 + 0.295260i \(0.904594\pi\)
\(68\) 2.25291 1.49035i 0.273206 0.180731i
\(69\) 0.745594 0.611893i 0.0897590 0.0736633i
\(70\) 0.303735 1.50876i 0.0363033 0.180332i
\(71\) 2.89557 + 4.33353i 0.343642 + 0.514296i 0.962527 0.271185i \(-0.0874156\pi\)
−0.618886 + 0.785481i \(0.712416\pi\)
\(72\) −2.70088 0.839779i −0.318302 0.0989689i
\(73\) 2.34943 + 1.56984i 0.274980 + 0.183736i 0.685412 0.728156i \(-0.259622\pi\)
−0.410432 + 0.911891i \(0.634622\pi\)
\(74\) 0.0103909 4.50004i 0.00120792 0.523119i
\(75\) 1.28557 + 4.23796i 0.148445 + 0.489357i
\(76\) −0.896023 3.00366i −0.102781 0.344543i
\(77\) 4.84164 5.89955i 0.551756 0.672317i
\(78\) −0.386924 + 3.83765i −0.0438106 + 0.434528i
\(79\) −2.08351 + 5.03003i −0.234413 + 0.565922i −0.996687 0.0813316i \(-0.974083\pi\)
0.762274 + 0.647254i \(0.224083\pi\)
\(80\) 2.65321 + 1.44984i 0.296638 + 0.162097i
\(81\) −0.382683 0.923880i −0.0425204 0.102653i
\(82\) 0.617124 0.185648i 0.0681499 0.0205013i
\(83\) −8.13622 + 0.801348i −0.893067 + 0.0879594i −0.534130 0.845402i \(-0.679361\pi\)
−0.358937 + 0.933362i \(0.616861\pi\)
\(84\) −0.848582 + 2.75159i −0.0925879 + 0.300223i
\(85\) −0.900357 0.481251i −0.0976574 0.0521990i
\(86\) 2.15536 5.16971i 0.232419 0.557464i
\(87\) −0.354049 1.77992i −0.0379580 0.190828i
\(88\) 8.24325 + 12.5238i 0.878734 + 1.33505i
\(89\) 13.4032 + 2.66607i 1.42074 + 0.282603i 0.844885 0.534949i \(-0.179669\pi\)
0.575856 + 0.817551i \(0.304669\pi\)
\(90\) 0.206124 + 1.04891i 0.0217274 + 0.110565i
\(91\) 3.90780 + 0.384885i 0.409649 + 0.0403469i
\(92\) 1.78561 0.729983i 0.186163 0.0761060i
\(93\) 4.48509 + 1.36054i 0.465082 + 0.141081i
\(94\) −15.6710 + 8.32986i −1.61634 + 0.859160i
\(95\) −0.837659 + 0.837659i −0.0859420 + 0.0859420i
\(96\) −4.66691 3.19687i −0.476314 0.326279i
\(97\) −7.32866 7.32866i −0.744113 0.744113i 0.229254 0.973367i \(-0.426371\pi\)
−0.973367 + 0.229254i \(0.926371\pi\)
\(98\) −6.66333 2.03811i −0.673098 0.205880i
\(99\) −1.53878 + 5.07266i −0.154653 + 0.509822i
\(100\) −0.0409042 + 8.85721i −0.00409042 + 0.885721i
\(101\) −0.0179082 + 0.181825i −0.00178193 + 0.0180922i −0.996035 0.0889670i \(-0.971643\pi\)
0.994253 + 0.107059i \(0.0341434\pi\)
\(102\) 1.58571 + 1.06484i 0.157009 + 0.105435i
\(103\) 3.64549 18.3271i 0.359201 1.80582i −0.203401 0.979096i \(-0.565200\pi\)
0.562602 0.826728i \(-0.309800\pi\)
\(104\) −3.00140 + 7.10637i −0.294311 + 0.696837i
\(105\) 1.06735 0.212309i 0.104163 0.0207192i
\(106\) −10.0727 + 4.14501i −0.978343 + 0.402599i
\(107\) −5.00088 + 9.35598i −0.483453 + 0.904477i 0.515416 + 0.856940i \(0.327637\pi\)
−0.998869 + 0.0475372i \(0.984863\pi\)
\(108\) −0.186840 1.99125i −0.0179787 0.191608i
\(109\) 1.71887 + 17.4520i 0.164638 + 1.67160i 0.622533 + 0.782594i \(0.286104\pi\)
−0.457895 + 0.889006i \(0.651396\pi\)
\(110\) 2.68271 4.99124i 0.255786 0.475896i
\(111\) 2.93980 1.21770i 0.279033 0.115579i
\(112\) −3.24359 + 4.75863i −0.306490 + 0.449648i
\(113\) −18.0574 7.47963i −1.69870 0.703624i −0.698768 0.715349i \(-0.746268\pi\)
−0.999931 + 0.0117244i \(0.996268\pi\)
\(114\) 1.71654 1.40211i 0.160769 0.131319i
\(115\) −0.563576 0.462515i −0.0525537 0.0431297i
\(116\) 0.372439 3.61043i 0.0345801 0.335220i
\(117\) −2.60994 + 0.791717i −0.241289 + 0.0731943i
\(118\) −12.4586 12.5163i −1.14691 1.15222i
\(119\) 1.08033 1.61683i 0.0990337 0.148214i
\(120\) −0.224288 + 2.12614i −0.0204746 + 0.194089i
\(121\) 14.2179 9.50011i 1.29254 0.863646i
\(122\) −2.96704 + 1.97262i −0.268623 + 0.178593i
\(123\) 0.289087 + 0.352253i 0.0260661 + 0.0317616i
\(124\) 7.76990 + 5.24375i 0.697758 + 0.470902i
\(125\) 6.28535 3.35959i 0.562179 0.300491i
\(126\) −2.02674 + 0.194893i −0.180557 + 0.0173624i
\(127\) 12.6303 1.12076 0.560379 0.828236i \(-0.310655\pi\)
0.560379 + 0.828236i \(0.310655\pi\)
\(128\) −7.03505 8.86048i −0.621816 0.783163i
\(129\) 3.96052 0.348705
\(130\) 2.90210 0.279067i 0.254531 0.0244758i
\(131\) 1.47120 0.786373i 0.128539 0.0687057i −0.405874 0.913929i \(-0.633033\pi\)
0.534413 + 0.845223i \(0.320533\pi\)
\(132\) −5.93071 + 8.78781i −0.516202 + 0.764881i
\(133\) −1.43144 1.74422i −0.124122 0.151243i
\(134\) 3.66282 2.43521i 0.316420 0.210370i
\(135\) −0.628487 + 0.419942i −0.0540916 + 0.0361428i
\(136\) 2.40296 + 2.96973i 0.206052 + 0.254652i
\(137\) 4.06867 6.08919i 0.347610 0.520235i −0.615930 0.787801i \(-0.711219\pi\)
0.963539 + 0.267566i \(0.0862195\pi\)
\(138\) 0.962303 + 0.966757i 0.0819167 + 0.0822958i
\(139\) −5.06219 + 1.53560i −0.429370 + 0.130248i −0.497570 0.867424i \(-0.665774\pi\)
0.0682004 + 0.997672i \(0.478274\pi\)
\(140\) 2.16503 + 0.223337i 0.182979 + 0.0188754i
\(141\) −9.70070 7.96116i −0.816946 0.670450i
\(142\) −5.70844 + 4.66278i −0.479041 + 0.391291i
\(143\) 13.3571 + 5.53270i 1.11698 + 0.462667i
\(144\) 0.816563 3.91577i 0.0680469 0.326314i
\(145\) −1.26734 + 0.524949i −0.105247 + 0.0435946i
\(146\) −1.89186 + 3.51984i −0.156571 + 0.291304i
\(147\) −0.482946 4.90344i −0.0398327 0.404429i
\(148\) 6.33620 0.594529i 0.520832 0.0488700i
\(149\) −3.90916 + 7.31352i −0.320251 + 0.599147i −0.989608 0.143794i \(-0.954070\pi\)
0.669357 + 0.742941i \(0.266570\pi\)
\(150\) −5.79183 + 2.38340i −0.472901 + 0.194604i
\(151\) 21.7049 4.31738i 1.76632 0.351344i 0.798311 0.602245i \(-0.205727\pi\)
0.968013 + 0.250902i \(0.0807271\pi\)
\(152\) 4.10702 1.66795i 0.333123 0.135288i
\(153\) −0.263494 + 1.32467i −0.0213022 + 0.107094i
\(154\) 8.96032 + 6.01707i 0.722043 + 0.484869i
\(155\) 0.347247 3.52566i 0.0278915 0.283187i
\(156\) −5.45471 0.0251908i −0.436726 0.00201688i
\(157\) 1.17425 3.87097i 0.0937150 0.308937i −0.897533 0.440946i \(-0.854643\pi\)
0.991248 + 0.132009i \(0.0421429\pi\)
\(158\) −7.36291 2.25209i −0.585762 0.179167i
\(159\) −5.44609 5.44609i −0.431903 0.431903i
\(160\) −1.68181 + 3.93124i −0.132958 + 0.310792i
\(161\) 0.981939 0.981939i 0.0773877 0.0773877i
\(162\) 1.24876 0.663774i 0.0981119 0.0521510i
\(163\) −9.72852 2.95111i −0.761996 0.231149i −0.114713 0.993399i \(-0.536595\pi\)
−0.647283 + 0.762250i \(0.724095\pi\)
\(164\) 0.344878 + 0.843607i 0.0269304 + 0.0658747i
\(165\) 3.98754 + 0.392738i 0.310430 + 0.0305746i
\(166\) −2.22945 11.3450i −0.173039 0.880547i
\(167\) 0.467221 + 0.0929360i 0.0361546 + 0.00719161i 0.213135 0.977023i \(-0.431633\pi\)
−0.176980 + 0.984214i \(0.556633\pi\)
\(168\) −3.98834 0.822092i −0.307707 0.0634258i
\(169\) −1.08497 5.45452i −0.0834594 0.419579i
\(170\) 0.555588 1.33260i 0.0426116 0.102205i
\(171\) 1.38217 + 0.738786i 0.105697 + 0.0564964i
\(172\) 7.56927 + 2.33434i 0.577151 + 0.177992i
\(173\) 0.549375 0.0541087i 0.0417682 0.00411381i −0.0771115 0.997022i \(-0.524570\pi\)
0.118880 + 0.992909i \(0.462070\pi\)
\(174\) 2.45771 0.739344i 0.186318 0.0560495i
\(175\) 2.44002 + 5.89074i 0.184448 + 0.445298i
\(176\) −16.5142 + 13.2995i −1.24481 + 1.00249i
\(177\) 4.77876 11.5369i 0.359193 0.867170i
\(178\) −1.93872 + 19.2289i −0.145313 + 1.44127i
\(179\) 11.5848 14.1161i 0.865886 1.05508i −0.132074 0.991240i \(-0.542164\pi\)
0.997960 0.0638450i \(-0.0203363\pi\)
\(180\) −1.44867 + 0.432152i −0.107977 + 0.0322107i
\(181\) 6.17327 + 20.3505i 0.458855 + 1.51264i 0.815697 + 0.578479i \(0.196353\pi\)
−0.356842 + 0.934165i \(0.616147\pi\)
\(182\) −0.0128227 + 5.55319i −0.000950485 + 0.411630i
\(183\) −2.09479 1.39969i −0.154851 0.103468i
\(184\) 1.26932 + 2.41483i 0.0935759 + 0.178024i
\(185\) −1.33626 1.99986i −0.0982438 0.147032i
\(186\) −1.30812 + 6.49792i −0.0959161 + 0.476451i
\(187\) 5.53441 4.54197i 0.404716 0.332142i
\(188\) −13.8475 20.9328i −1.00993 1.52668i
\(189\) −0.678687 1.26973i −0.0493672 0.0923595i
\(190\) −1.29258 1.06580i −0.0937737 0.0773211i
\(191\) 6.64454i 0.480782i 0.970676 + 0.240391i \(0.0772757\pi\)
−0.970676 + 0.240391i \(0.922724\pi\)
\(192\) 3.86856 7.00245i 0.279189 0.505358i
\(193\) 5.46747i 0.393557i −0.980448 0.196779i \(-0.936952\pi\)
0.980448 0.196779i \(-0.0630480\pi\)
\(194\) 9.32465 11.3088i 0.669471 0.811922i
\(195\) 0.971813 + 1.81813i 0.0695930 + 0.130199i
\(196\) 1.96710 9.65600i 0.140507 0.689714i
\(197\) 13.8138 11.3367i 0.984190 0.807703i 0.00285187 0.999996i \(-0.499092\pi\)
0.981338 + 0.192292i \(0.0615922\pi\)
\(198\) −7.34919 1.47949i −0.522284 0.105143i
\(199\) −11.0141 16.4837i −0.780767 1.16850i −0.981986 0.188954i \(-0.939490\pi\)
0.201219 0.979546i \(-0.435510\pi\)
\(200\) −12.4740 + 1.14139i −0.882046 + 0.0807086i
\(201\) 2.58602 + 1.72793i 0.182404 + 0.121879i
\(202\) −0.258383 0.000596625i −0.0181797 4.19784e-5i
\(203\) −0.758462 2.50031i −0.0532336 0.175488i
\(204\) −1.28435 + 2.37638i −0.0899224 + 0.166380i
\(205\) 0.218514 0.266259i 0.0152616 0.0185964i
\(206\) 26.2929 + 2.65094i 1.83191 + 0.184700i
\(207\) −0.369111 + 0.891112i −0.0256550 + 0.0619366i
\(208\) −10.4101 3.26316i −0.721809 0.226259i
\(209\) −3.17924 7.67536i −0.219913 0.530916i
\(210\) 0.443356 + 1.47379i 0.0305944 + 0.101701i
\(211\) 3.86506 0.380675i 0.266081 0.0262067i 0.0359034 0.999355i \(-0.488569\pi\)
0.230178 + 0.973149i \(0.426069\pi\)
\(212\) −7.19852 13.6184i −0.494396 0.935314i
\(213\) −4.59648 2.45687i −0.314946 0.168342i
\(214\) −13.8476 5.77334i −0.946600 0.394658i
\(215\) −0.584034 2.93614i −0.0398308 0.200243i
\(216\) 2.77784 0.532569i 0.189008 0.0362367i
\(217\) 6.61824 + 1.31645i 0.449276 + 0.0893665i
\(218\) −24.3349 + 4.78212i −1.64817 + 0.323886i
\(219\) −2.81203 0.276960i −0.190019 0.0187152i
\(220\) 7.38942 + 3.10086i 0.498195 + 0.209060i
\(221\) 3.52505 + 1.06931i 0.237121 + 0.0719298i
\(222\) 2.11214 + 3.97358i 0.141757 + 0.266689i
\(223\) −3.72634 + 3.72634i −0.249534 + 0.249534i −0.820779 0.571245i \(-0.806460\pi\)
0.571245 + 0.820779i \(0.306460\pi\)
\(224\) −7.13789 3.92190i −0.476921 0.262043i
\(225\) −3.13153 3.13153i −0.208769 0.208769i
\(226\) 8.08484 26.4323i 0.537796 1.75825i
\(227\) 4.73654 15.6143i 0.314375 1.03636i −0.647316 0.762221i \(-0.724109\pi\)
0.961691 0.274134i \(-0.0883913\pi\)
\(228\) 2.20614 + 2.22661i 0.146105 + 0.147461i
\(229\) −1.18863 + 12.0683i −0.0785468 + 0.797499i 0.872533 + 0.488555i \(0.162476\pi\)
−0.951080 + 0.308944i \(0.900024\pi\)
\(230\) 0.574802 0.855966i 0.0379013 0.0564407i
\(231\) −1.48891 + 7.48528i −0.0979633 + 0.492495i
\(232\) 5.13289 + 0.0355572i 0.336991 + 0.00233445i
\(233\) −18.5335 + 3.68655i −1.21417 + 0.241514i −0.760311 0.649559i \(-0.774954\pi\)
−0.453861 + 0.891073i \(0.649954\pi\)
\(234\) −1.46782 3.56690i −0.0959542 0.233175i
\(235\) −4.47151 + 8.36561i −0.291689 + 0.545712i
\(236\) 15.9330 19.2326i 1.03715 1.25193i
\(237\) −0.533651 5.41825i −0.0346643 0.351953i
\(238\) 2.42228 + 1.30194i 0.157013 + 0.0843921i
\(239\) 0.550153 0.227881i 0.0355865 0.0147404i −0.364819 0.931078i \(-0.618869\pi\)
0.400406 + 0.916338i \(0.368869\pi\)
\(240\) −3.02337 0.0279255i −0.195158 0.00180259i
\(241\) −6.99989 2.89945i −0.450902 0.186770i 0.145663 0.989334i \(-0.453468\pi\)
−0.596566 + 0.802564i \(0.703468\pi\)
\(242\) 15.2981 + 18.7289i 0.983401 + 1.20394i
\(243\) 0.773010 + 0.634393i 0.0495886 + 0.0406963i
\(244\) −3.17854 3.90974i −0.203485 0.250295i
\(245\) −3.56395 + 1.08111i −0.227693 + 0.0690698i
\(246\) −0.456741 + 0.454637i −0.0291208 + 0.0289866i
\(247\) 2.37475 3.55406i 0.151101 0.226139i
\(248\) −6.32994 + 11.6477i −0.401952 + 0.739628i
\(249\) 6.79776 4.54212i 0.430790 0.287845i
\(250\) 5.58019 + 8.39324i 0.352922 + 0.530835i
\(251\) −19.0179 23.1734i −1.20040 1.46269i −0.850555 0.525886i \(-0.823734\pi\)
−0.349847 0.936807i \(-0.613766\pi\)
\(252\) −0.548709 2.82671i −0.0345654 0.178066i
\(253\) 4.50918 2.41021i 0.283490 0.151529i
\(254\) 1.70973 + 17.7799i 0.107278 + 1.11561i
\(255\) 1.02090 0.0639315
\(256\) 11.5208 11.1028i 0.720047 0.693925i
\(257\) −17.0744 −1.06507 −0.532535 0.846408i \(-0.678760\pi\)
−0.532535 + 0.846408i \(0.678760\pi\)
\(258\) 0.536124 + 5.57531i 0.0333776 + 0.347104i
\(259\) 4.04031 2.15959i 0.251053 0.134190i
\(260\) 0.785697 + 4.04757i 0.0487269 + 0.251020i
\(261\) 1.15129 + 1.40285i 0.0712632 + 0.0868345i
\(262\) 1.30615 + 1.96459i 0.0806939 + 0.121373i
\(263\) −22.3146 + 14.9102i −1.37598 + 0.919399i −0.999974 0.00721841i \(-0.997702\pi\)
−0.376005 + 0.926618i \(0.622702\pi\)
\(264\) −13.1736 7.15920i −0.810779 0.440619i
\(265\) −3.23436 + 4.84057i −0.198685 + 0.297354i
\(266\) 2.26160 2.25118i 0.138667 0.138029i
\(267\) −13.0774 + 3.96698i −0.800322 + 0.242775i
\(268\) 3.92391 + 4.82658i 0.239691 + 0.294830i
\(269\) 0.706588 + 0.579882i 0.0430814 + 0.0353560i 0.655688 0.755032i \(-0.272379\pi\)
−0.612606 + 0.790388i \(0.709879\pi\)
\(270\) −0.676237 0.827888i −0.0411545 0.0503836i
\(271\) 23.4262 + 9.70344i 1.42304 + 0.589442i 0.955622 0.294596i \(-0.0951849\pi\)
0.467416 + 0.884037i \(0.345185\pi\)
\(272\) −3.85527 + 3.78470i −0.233760 + 0.229481i
\(273\) −3.62781 + 1.50269i −0.219565 + 0.0909467i
\(274\) 9.12264 + 4.90327i 0.551119 + 0.296217i
\(275\) 2.30104 + 23.3629i 0.138758 + 1.40884i
\(276\) −1.23066 + 1.48552i −0.0740770 + 0.0894178i
\(277\) −10.9394 + 20.4662i −0.657285 + 1.22969i 0.303614 + 0.952795i \(0.401807\pi\)
−0.960899 + 0.276899i \(0.910693\pi\)
\(278\) −2.84695 6.91828i −0.170749 0.414931i
\(279\) −4.59685 + 0.914370i −0.275206 + 0.0547419i
\(280\) −0.0213223 + 3.07799i −0.00127425 + 0.183945i
\(281\) −5.80657 + 29.1916i −0.346391 + 1.74143i 0.278245 + 0.960510i \(0.410247\pi\)
−0.624636 + 0.780916i \(0.714753\pi\)
\(282\) 9.89393 14.7335i 0.589175 0.877370i
\(283\) 2.45064 24.8817i 0.145675 1.47907i −0.593108 0.805123i \(-0.702099\pi\)
0.738784 0.673943i \(-0.235401\pi\)
\(284\) −7.33662 7.40470i −0.435348 0.439388i
\(285\) 0.343880 1.13362i 0.0203697 0.0671498i
\(286\) −5.98038 + 19.5520i −0.353627 + 1.15614i
\(287\) 0.463914 + 0.463914i 0.0273840 + 0.0273840i
\(288\) 5.62284 + 0.619426i 0.331329 + 0.0365000i
\(289\) −10.7309 + 10.7309i −0.631231 + 0.631231i
\(290\) −0.910537 1.71300i −0.0534686 0.100591i
\(291\) 9.91801 + 3.00860i 0.581404 + 0.176367i
\(292\) −5.21104 2.18673i −0.304953 0.127969i
\(293\) −1.24070 0.122198i −0.0724824 0.00713890i 0.0617109 0.998094i \(-0.480344\pi\)
−0.134193 + 0.990955i \(0.542844\pi\)
\(294\) 6.83729 1.34362i 0.398759 0.0783613i
\(295\) −9.25762 1.84146i −0.539000 0.107214i
\(296\) 1.69464 + 8.83911i 0.0984991 + 0.513763i
\(297\) −1.03416 5.19906i −0.0600079 0.301680i
\(298\) −10.8246 4.51299i −0.627050 0.261430i
\(299\) 2.32003 + 1.24008i 0.134171 + 0.0717157i
\(300\) −4.13919 7.83064i −0.238976 0.452102i
\(301\) 5.67465 0.558904i 0.327081 0.0322147i
\(302\) 9.01580 + 29.9701i 0.518801 + 1.72458i
\(303\) −0.0699180 0.168797i −0.00401669 0.00969714i
\(304\) 2.90396 + 5.55575i 0.166553 + 0.318644i
\(305\) −0.728758 + 1.75938i −0.0417286 + 0.100742i
\(306\) −1.90044 0.191609i −0.108641 0.0109535i
\(307\) 15.4160 18.7845i 0.879839 1.07209i −0.117039 0.993127i \(-0.537340\pi\)
0.996878 0.0789595i \(-0.0251598\pi\)
\(308\) −7.25742 + 13.4281i −0.413530 + 0.765139i
\(309\) 5.42431 + 17.8815i 0.308578 + 1.01725i
\(310\) 5.01014 + 0.0115688i 0.284557 + 0.000657064i
\(311\) 20.8940 + 13.9609i 1.18479 + 0.791650i 0.982241 0.187623i \(-0.0600782\pi\)
0.202547 + 0.979273i \(0.435078\pi\)
\(312\) −0.702926 7.68211i −0.0397953 0.434914i
\(313\) 1.99501 + 2.98574i 0.112765 + 0.168764i 0.883559 0.468320i \(-0.155140\pi\)
−0.770794 + 0.637084i \(0.780140\pi\)
\(314\) 5.60819 + 1.12901i 0.316489 + 0.0637136i
\(315\) −0.841236 + 0.690385i −0.0473983 + 0.0388988i
\(316\) 2.17362 10.6698i 0.122276 0.600222i
\(317\) −9.88325 18.4903i −0.555098 1.03852i −0.990400 0.138231i \(-0.955858\pi\)
0.435301 0.900285i \(-0.356642\pi\)
\(318\) 6.92935 8.40379i 0.388579 0.471261i
\(319\) 9.62007i 0.538621i
\(320\) −5.76175 1.83535i −0.322091 0.102599i
\(321\) 10.6086i 0.592116i
\(322\) 1.51522 + 1.24937i 0.0844398 + 0.0696249i
\(323\) −0.997823 1.86680i −0.0555204 0.103871i
\(324\) 1.10345 + 1.66805i 0.0613027 + 0.0926696i
\(325\) −9.33691 + 7.66260i −0.517918 + 0.425045i
\(326\) 2.83742 14.0945i 0.157150 0.780623i
\(327\) −9.74273 14.5810i −0.538774 0.806333i
\(328\) −1.14088 + 0.599688i −0.0629944 + 0.0331122i
\(329\) −15.0227 10.0378i −0.828226 0.553403i
\(330\) −0.0130844 + 5.66650i −0.000720272 + 0.311931i
\(331\) 2.44422 + 8.05751i 0.134346 + 0.442881i 0.998140 0.0609654i \(-0.0194179\pi\)
−0.863794 + 0.503846i \(0.831918\pi\)
\(332\) 15.6689 4.67419i 0.859940 0.256529i
\(333\) −2.01865 + 2.45973i −0.110621 + 0.134792i
\(334\) −0.0675816 + 0.670297i −0.00369790 + 0.0366770i
\(335\) 0.899655 2.17196i 0.0491534 0.118667i
\(336\) 0.617385 5.72575i 0.0336811 0.312365i
\(337\) 6.09046 + 14.7037i 0.331769 + 0.800960i 0.998452 + 0.0556194i \(0.0177133\pi\)
−0.666683 + 0.745341i \(0.732287\pi\)
\(338\) 7.53157 2.26570i 0.409664 0.123238i
\(339\) 19.4511 1.91577i 1.05644 0.104050i
\(340\) 1.95113 + 0.601723i 0.105815 + 0.0326330i
\(341\) 21.9112 + 11.7118i 1.18656 + 0.634230i
\(342\) −0.852904 + 2.04572i −0.0461198 + 0.110620i
\(343\) −3.35008 16.8420i −0.180887 0.909383i
\(344\) −2.26147 + 10.9714i −0.121930 + 0.591539i
\(345\) 0.715057 + 0.142234i 0.0384974 + 0.00765761i
\(346\) 0.150537 + 0.766041i 0.00809293 + 0.0411826i
\(347\) −4.92957 0.485520i −0.264633 0.0260641i −0.0351697 0.999381i \(-0.511197\pi\)
−0.229464 + 0.973317i \(0.573697\pi\)
\(348\) 1.37348 + 3.35968i 0.0736264 + 0.180098i
\(349\) 8.81651 + 2.67446i 0.471937 + 0.143161i 0.517289 0.855811i \(-0.326941\pi\)
−0.0453525 + 0.998971i \(0.514441\pi\)
\(350\) −7.96221 + 4.23228i −0.425598 + 0.226225i
\(351\) 1.92855 1.92855i 0.102938 0.102938i
\(352\) −20.9575 21.4471i −1.11704 1.14313i
\(353\) 22.5330 + 22.5330i 1.19931 + 1.19931i 0.974373 + 0.224938i \(0.0722178\pi\)
0.224938 + 0.974373i \(0.427782\pi\)
\(354\) 16.8877 + 5.16543i 0.897570 + 0.274540i
\(355\) −1.14359 + 3.76991i −0.0606954 + 0.200086i
\(356\) −27.3314 0.126221i −1.44856 0.00668970i
\(357\) −0.190599 + 1.93518i −0.0100875 + 0.102421i
\(358\) 21.4397 + 14.3973i 1.13312 + 0.760918i
\(359\) −2.54158 + 12.7774i −0.134139 + 0.674364i 0.853934 + 0.520381i \(0.174210\pi\)
−0.988073 + 0.153983i \(0.950790\pi\)
\(360\) −0.804451 1.98082i −0.0423983 0.104398i
\(361\) 16.2259 3.22753i 0.853995 0.169870i
\(362\) −27.8122 + 11.4450i −1.46178 + 0.601537i
\(363\) −8.06077 + 15.0806i −0.423080 + 0.791528i
\(364\) −7.81907 + 0.733668i −0.409831 + 0.0384546i
\(365\) 0.209347 + 2.12554i 0.0109577 + 0.111256i
\(366\) 1.68681 3.13835i 0.0881710 0.164044i
\(367\) 9.33088 3.86498i 0.487068 0.201750i −0.125615 0.992079i \(-0.540090\pi\)
0.612683 + 0.790329i \(0.290090\pi\)
\(368\) −3.22758 + 2.11374i −0.168249 + 0.110186i
\(369\) −0.421003 0.174385i −0.0219165 0.00907812i
\(370\) 2.63435 2.15180i 0.136953 0.111867i
\(371\) −8.57171 7.03462i −0.445021 0.365220i
\(372\) −9.32433 0.961865i −0.483444 0.0498704i
\(373\) −29.4645 + 8.93797i −1.52562 + 0.462791i −0.938083 0.346410i \(-0.887401\pi\)
−0.587533 + 0.809200i \(0.699901\pi\)
\(374\) 7.14301 + 7.17607i 0.369356 + 0.371066i
\(375\) −3.95948 + 5.92579i −0.204467 + 0.306006i
\(376\) 27.5930 22.3269i 1.42300 1.15142i
\(377\) 4.11547 2.74987i 0.211958 0.141626i
\(378\) 1.69556 1.12728i 0.0872100 0.0579811i
\(379\) 21.8623 + 26.6393i 1.12299 + 1.36837i 0.921268 + 0.388929i \(0.127155\pi\)
0.201726 + 0.979442i \(0.435345\pi\)
\(380\) 1.32537 1.96387i 0.0679902 0.100744i
\(381\) −11.1389 + 5.95389i −0.570665 + 0.305027i
\(382\) −9.35366 + 0.899452i −0.478575 + 0.0460200i
\(383\) 3.55374 0.181588 0.0907938 0.995870i \(-0.471060\pi\)
0.0907938 + 0.995870i \(0.471060\pi\)
\(384\) 10.3812 + 4.49795i 0.529761 + 0.229535i
\(385\) 5.76878 0.294004
\(386\) 7.69667 0.740115i 0.391750 0.0376709i
\(387\) −3.49287 + 1.86698i −0.177553 + 0.0949038i
\(388\) 17.1818 + 11.5957i 0.872275 + 0.588680i
\(389\) −6.89272 8.39881i −0.349475 0.425836i 0.568372 0.822772i \(-0.307574\pi\)
−0.917846 + 0.396936i \(0.870074\pi\)
\(390\) −2.42787 + 1.61416i −0.122940 + 0.0817360i
\(391\) 1.08317 0.723754i 0.0547785 0.0366018i
\(392\) 13.8592 + 1.46202i 0.699996 + 0.0738431i
\(393\) −0.926789 + 1.38704i −0.0467503 + 0.0699668i
\(394\) 17.8288 + 17.9113i 0.898200 + 0.902358i
\(395\) −3.93813 + 1.19462i −0.198149 + 0.0601078i
\(396\) 1.08788 10.5459i 0.0546678 0.529950i
\(397\) −22.5098 18.4733i −1.12973 0.927149i −0.131792 0.991277i \(-0.542073\pi\)
−0.997942 + 0.0641286i \(0.979573\pi\)
\(398\) 21.7135 17.7361i 1.08840 0.889030i
\(399\) 2.08464 + 0.863485i 0.104362 + 0.0432283i
\(400\) −3.29533 17.4054i −0.164767 0.870270i
\(401\) −14.2036 + 5.88334i −0.709296 + 0.293800i −0.708013 0.706199i \(-0.750408\pi\)
−0.00128267 + 0.999999i \(0.500408\pi\)
\(402\) −2.08237 + 3.87430i −0.103859 + 0.193233i
\(403\) 1.25295 + 12.7214i 0.0624139 + 0.633699i
\(404\) −0.0341366 0.363811i −0.00169836 0.0181003i
\(405\) 0.356317 0.666622i 0.0177055 0.0331247i
\(406\) 3.41707 1.40616i 0.169586 0.0697867i
\(407\) 16.5435 3.29071i 0.820031 0.163114i
\(408\) −3.51914 1.48632i −0.174224 0.0735838i
\(409\) −4.84431 + 24.3540i −0.239535 + 1.20423i 0.654441 + 0.756113i \(0.272904\pi\)
−0.893977 + 0.448113i \(0.852096\pi\)
\(410\) 0.404398 + 0.271563i 0.0199718 + 0.0134115i
\(411\) −0.717819 + 7.28814i −0.0354074 + 0.359498i
\(412\) −0.172590 + 37.3719i −0.00850291 + 1.84118i
\(413\) 5.21894 17.2045i 0.256807 0.846580i
\(414\) −1.30440 0.398977i −0.0641078 0.0196087i
\(415\) −4.36973 4.36973i −0.214501 0.214501i
\(416\) 3.18443 15.0962i 0.156130 0.740152i
\(417\) 3.74058 3.74058i 0.183177 0.183177i
\(418\) 10.3744 5.51447i 0.507428 0.269721i
\(419\) −14.5442 4.41192i −0.710529 0.215536i −0.0857254 0.996319i \(-0.527321\pi\)
−0.624803 + 0.780782i \(0.714821\pi\)
\(420\) −2.01467 + 0.823623i −0.0983057 + 0.0401887i
\(421\) −3.66789 0.361256i −0.178762 0.0176065i 0.00824002 0.999966i \(-0.497377\pi\)
−0.187002 + 0.982360i \(0.559877\pi\)
\(422\) 1.05908 + 5.38939i 0.0515554 + 0.262351i
\(423\) 12.3081 + 2.44824i 0.598441 + 0.119037i
\(424\) 18.1964 11.9770i 0.883697 0.581653i
\(425\) 1.16692 + 5.86652i 0.0566041 + 0.284568i
\(426\) 2.83637 6.80314i 0.137423 0.329613i
\(427\) −3.19894 1.70987i −0.154808 0.0827464i
\(428\) 6.25275 20.2750i 0.302238 0.980029i
\(429\) −14.3880 + 1.41710i −0.694660 + 0.0684180i
\(430\) 4.05420 1.21961i 0.195511 0.0588150i
\(431\) −5.84580 14.1130i −0.281582 0.679800i 0.718291 0.695743i \(-0.244925\pi\)
−0.999873 + 0.0159433i \(0.994925\pi\)
\(432\) 1.12574 + 3.83832i 0.0541620 + 0.184671i
\(433\) −14.0563 + 33.9349i −0.675502 + 1.63081i 0.0966123 + 0.995322i \(0.469199\pi\)
−0.772114 + 0.635484i \(0.780801\pi\)
\(434\) −0.957302 + 9.49484i −0.0459520 + 0.455767i
\(435\) 0.870234 1.06038i 0.0417245 0.0508415i
\(436\) −10.0260 33.6093i −0.480160 1.60960i
\(437\) −0.438807 1.44655i −0.0209910 0.0691980i
\(438\) 0.00922716 3.99604i 0.000440891 0.190938i
\(439\) −26.8620 17.9486i −1.28205 0.856640i −0.287190 0.957874i \(-0.592721\pi\)
−0.994863 + 0.101233i \(0.967721\pi\)
\(440\) −3.36485 + 10.8220i −0.160413 + 0.515918i
\(441\) 2.73738 + 4.09679i 0.130352 + 0.195085i
\(442\) −1.02812 + 5.10704i −0.0489026 + 0.242917i
\(443\) 4.87341 3.99951i 0.231543 0.190022i −0.511467 0.859303i \(-0.670898\pi\)
0.743010 + 0.669281i \(0.233398\pi\)
\(444\) −5.30777 + 3.51119i −0.251896 + 0.166634i
\(445\) 4.86937 + 9.10994i 0.230830 + 0.431853i
\(446\) −5.75006 4.74122i −0.272273 0.224503i
\(447\) 8.29271i 0.392232i
\(448\) 4.55470 10.5791i 0.215189 0.499813i
\(449\) 33.5296i 1.58236i −0.611583 0.791181i \(-0.709467\pi\)
0.611583 0.791181i \(-0.290533\pi\)
\(450\) 3.98441 4.83222i 0.187827 0.227793i
\(451\) 1.13870 + 2.13035i 0.0536191 + 0.100314i
\(452\) 38.3037 + 7.80314i 1.80165 + 0.367029i
\(453\) −17.1069 + 14.0392i −0.803750 + 0.659621i
\(454\) 22.6217 + 4.55406i 1.06169 + 0.213733i
\(455\) 1.64899 + 2.46789i 0.0773058 + 0.115696i
\(456\) −2.83580 + 3.40703i −0.132799 + 0.159549i
\(457\) −3.05688 2.04254i −0.142995 0.0955462i 0.482015 0.876163i \(-0.339905\pi\)
−0.625010 + 0.780617i \(0.714905\pi\)
\(458\) −17.1498 0.0396001i −0.801356 0.00185039i
\(459\) −0.392066 1.29247i −0.0183001 0.0603272i
\(460\) 1.28277 + 0.693290i 0.0598095 + 0.0323248i
\(461\) 9.03952 11.0147i 0.421012 0.513005i −0.518707 0.854952i \(-0.673586\pi\)
0.939719 + 0.341947i \(0.111086\pi\)
\(462\) −10.7387 1.08271i −0.499611 0.0503724i
\(463\) −10.3307 + 24.9405i −0.480108 + 1.15908i 0.479449 + 0.877570i \(0.340837\pi\)
−0.959557 + 0.281514i \(0.909163\pi\)
\(464\) 0.644769 + 7.23048i 0.0299327 + 0.335667i
\(465\) 1.35574 + 3.27304i 0.0628708 + 0.151784i
\(466\) −7.69846 25.5910i −0.356624 1.18548i
\(467\) 27.7745 2.73555i 1.28525 0.126586i 0.567783 0.823178i \(-0.307801\pi\)
0.717467 + 0.696592i \(0.245301\pi\)
\(468\) 4.82250 2.54911i 0.222920 0.117833i
\(469\) 3.94910 + 2.11084i 0.182353 + 0.0974696i
\(470\) −12.3817 5.16221i −0.571127 0.238115i
\(471\) 0.789170 + 3.96743i 0.0363630 + 0.182809i
\(472\) 29.2309 + 19.8257i 1.34546 + 0.912551i
\(473\) 20.5910 + 4.09581i 0.946776 + 0.188325i
\(474\) 7.55514 1.48468i 0.347019 0.0681937i
\(475\) 6.90729 + 0.680308i 0.316928 + 0.0312147i
\(476\) −1.50487 + 3.58614i −0.0689754 + 0.164370i
\(477\) 7.37029 + 2.23575i 0.337462 + 0.102368i
\(478\) 0.395265 + 0.743614i 0.0180790 + 0.0340121i
\(479\) 7.94374 7.94374i 0.362959 0.362959i −0.501942 0.864901i \(-0.667381\pi\)
0.864901 + 0.501942i \(0.167381\pi\)
\(480\) −0.369953 4.25984i −0.0168860 0.194434i
\(481\) 6.13668 + 6.13668i 0.279808 + 0.279808i
\(482\) 3.13406 10.2464i 0.142752 0.466709i
\(483\) −0.403110 + 1.32888i −0.0183421 + 0.0604660i
\(484\) −24.2941 + 24.0708i −1.10428 + 1.09413i
\(485\) 0.767877 7.79639i 0.0348675 0.354016i
\(486\) −0.788408 + 1.17406i −0.0357629 + 0.0532564i
\(487\) −2.89871 + 14.5728i −0.131353 + 0.660356i 0.857861 + 0.513881i \(0.171793\pi\)
−0.989214 + 0.146475i \(0.953207\pi\)
\(488\) 5.07355 5.00374i 0.229669 0.226509i
\(489\) 9.97093 1.98334i 0.450901 0.0896898i
\(490\) −2.00435 4.87070i −0.0905471 0.220036i
\(491\) −12.2843 + 22.9823i −0.554382 + 1.03718i 0.436148 + 0.899875i \(0.356343\pi\)
−0.990529 + 0.137300i \(0.956157\pi\)
\(492\) −0.701829 0.581421i −0.0316409 0.0262125i
\(493\) −0.240250 2.43930i −0.0108203 0.109861i
\(494\) 5.32458 + 2.86188i 0.239564 + 0.128762i
\(495\) −3.70183 + 1.53335i −0.166385 + 0.0689189i
\(496\) −17.2535 7.33407i −0.774707 0.329310i
\(497\) −6.93256 2.87156i −0.310968 0.128807i
\(498\) 7.31422 + 8.95449i 0.327758 + 0.401260i
\(499\) 9.26830 + 7.60630i 0.414906 + 0.340505i 0.818574 0.574401i \(-0.194765\pi\)
−0.403668 + 0.914906i \(0.632265\pi\)
\(500\) −11.0600 + 8.99151i −0.494616 + 0.402113i
\(501\) −0.455862 + 0.138284i −0.0203664 + 0.00617808i
\(502\) 30.0473 29.9088i 1.34108 1.33490i
\(503\) 12.6333 18.9071i 0.563290 0.843024i −0.435062 0.900400i \(-0.643274\pi\)
0.998353 + 0.0573767i \(0.0182736\pi\)
\(504\) 3.90493 1.15507i 0.173940 0.0514509i
\(505\) −0.114828 + 0.0767253i −0.00510976 + 0.00341423i
\(506\) 4.00329 + 6.02141i 0.177968 + 0.267684i
\(507\) 3.52811 + 4.29901i 0.156689 + 0.190926i
\(508\) −24.7977 + 4.81363i −1.10022 + 0.213570i
\(509\) 6.12267 3.27264i 0.271383 0.145057i −0.330092 0.943949i \(-0.607080\pi\)
0.601475 + 0.798892i \(0.294580\pi\)
\(510\) 0.138197 + 1.43715i 0.00611945 + 0.0636380i
\(511\) −4.06816 −0.179965
\(512\) 17.1892 + 14.7151i 0.759661 + 0.650320i
\(513\) −1.56723 −0.0691948
\(514\) −2.31131 24.0359i −0.101947 1.06018i
\(515\) 12.4566 6.65820i 0.548904 0.293395i
\(516\) −7.77590 + 1.50943i −0.342315 + 0.0664488i
\(517\) −42.2015 51.4226i −1.85602 2.26156i
\(518\) 3.58702 + 5.39529i 0.157605 + 0.237055i
\(519\) −0.458999 + 0.306693i −0.0201478 + 0.0134623i
\(520\) −5.59149 + 1.65395i −0.245203 + 0.0725305i
\(521\) −5.40529 + 8.08959i −0.236810 + 0.354411i −0.930772 0.365601i \(-0.880864\pi\)
0.693962 + 0.720012i \(0.255864\pi\)
\(522\) −1.81898 + 1.81060i −0.0796146 + 0.0792477i
\(523\) 10.1705 3.08519i 0.444725 0.134906i −0.0599766 0.998200i \(-0.519103\pi\)
0.504701 + 0.863294i \(0.331603\pi\)
\(524\) −2.58878 + 2.10463i −0.113092 + 0.0919411i
\(525\) −4.92878 4.04495i −0.215110 0.176536i
\(526\) −24.0100 29.3944i −1.04689 1.28166i
\(527\) 5.84839 + 2.42248i 0.254760 + 0.105525i
\(528\) 8.29488 19.5139i 0.360988 0.849232i
\(529\) −20.3897 + 8.44570i −0.886510 + 0.367204i
\(530\) −7.25199 3.89782i −0.315006 0.169311i
\(531\) 1.22399 + 12.4274i 0.0531166 + 0.539302i
\(532\) 3.47517 + 2.87896i 0.150668 + 0.124819i
\(533\) −0.585871 + 1.09609i −0.0253769 + 0.0474769i
\(534\) −7.35464 17.8723i −0.318266 0.773409i
\(535\) −7.86473 + 1.56439i −0.340022 + 0.0676345i
\(536\) −6.26331 + 6.17713i −0.270534 + 0.266811i
\(537\) −3.56258 + 17.9103i −0.153737 + 0.772886i
\(538\) −0.720663 + 1.07317i −0.0310700 + 0.0462679i
\(539\) 2.56006 25.9927i 0.110270 1.11959i
\(540\) 1.07389 1.06402i 0.0462130 0.0457882i
\(541\) −1.63408 + 5.38685i −0.0702548 + 0.231599i −0.985035 0.172352i \(-0.944863\pi\)
0.914781 + 0.403951i \(0.132363\pi\)
\(542\) −10.4886 + 34.2910i −0.450524 + 1.47293i
\(543\) −15.0375 15.0375i −0.645322 0.645322i
\(544\) −5.84967 4.91481i −0.250803 0.210721i
\(545\) −9.37296 + 9.37296i −0.401494 + 0.401494i
\(546\) −2.60645 4.90352i −0.111546 0.209851i
\(547\) −25.9372 7.86796i −1.10899 0.336410i −0.317912 0.948120i \(-0.602982\pi\)
−0.791082 + 0.611710i \(0.790482\pi\)
\(548\) −5.66753 + 13.5059i −0.242105 + 0.576942i
\(549\) 2.50725 + 0.246943i 0.107007 + 0.0105393i
\(550\) −32.5769 + 6.40179i −1.38908 + 0.272973i
\(551\) −2.78955 0.554875i −0.118839 0.0236385i
\(552\) −2.25779 1.53133i −0.0960978 0.0651779i
\(553\) −1.52923 7.68797i −0.0650296 0.326926i
\(554\) −30.2915 12.6292i −1.28696 0.536562i
\(555\) 2.12120 + 1.13381i 0.0900400 + 0.0481274i
\(556\) 9.35362 4.94421i 0.396682 0.209681i
\(557\) −17.4005 + 1.71380i −0.737282 + 0.0726160i −0.459686 0.888082i \(-0.652038\pi\)
−0.277597 + 0.960698i \(0.589538\pi\)
\(558\) −1.90944 6.34730i −0.0808329 0.268703i
\(559\) 4.13369 + 9.97962i 0.174837 + 0.422093i
\(560\) −4.33584 + 0.386643i −0.183222 + 0.0163386i
\(561\) −2.73984 + 6.61457i −0.115676 + 0.279267i
\(562\) −41.8796 4.22245i −1.76659 0.178113i
\(563\) 14.9924 18.2683i 0.631855 0.769918i −0.354410 0.935090i \(-0.615318\pi\)
0.986265 + 0.165173i \(0.0528181\pi\)
\(564\) 22.0800 + 11.9334i 0.929737 + 0.502489i
\(565\) −4.28859 14.1376i −0.180422 0.594773i
\(566\) 35.3582 + 0.0816449i 1.48622 + 0.00343179i
\(567\) 1.19710 + 0.799874i 0.0502733 + 0.0335916i
\(568\) 9.43060 11.3303i 0.395699 0.475407i
\(569\) −2.81203 4.20850i −0.117887 0.176430i 0.767834 0.640649i \(-0.221335\pi\)
−0.885720 + 0.464220i \(0.846335\pi\)
\(570\) 1.64237 + 0.330632i 0.0687912 + 0.0138486i
\(571\) −3.57679 + 2.93540i −0.149684 + 0.122843i −0.706255 0.707958i \(-0.749617\pi\)
0.556571 + 0.830800i \(0.312117\pi\)
\(572\) −28.3333 5.77200i −1.18468 0.241339i
\(573\) −3.13222 5.85997i −0.130850 0.244804i
\(574\) −0.590262 + 0.715859i −0.0246371 + 0.0298794i
\(575\) 4.27158i 0.178137i
\(576\) −0.110832 + 7.99923i −0.00461800 + 0.333301i
\(577\) 19.6321i 0.817296i −0.912692 0.408648i \(-0.866000\pi\)
0.912692 0.408648i \(-0.134000\pi\)
\(578\) −16.5587 13.6535i −0.688753 0.567911i
\(579\) 2.57735 + 4.82188i 0.107111 + 0.200390i
\(580\) 2.28816 1.51366i 0.0950108 0.0628515i
\(581\) 9.09887 7.46725i 0.377485 0.309794i
\(582\) −2.89269 + 14.3691i −0.119906 + 0.595616i
\(583\) −22.6824 33.9467i −0.939411 1.40593i
\(584\) 2.37291 7.63170i 0.0981915 0.315802i
\(585\) −1.71413 1.14534i −0.0708703 0.0473541i
\(586\) 0.00407113 1.76310i 0.000168177 0.0728330i
\(587\) −12.2430 40.3598i −0.505323 1.66583i −0.723820 0.689989i \(-0.757616\pi\)
0.218497 0.975838i \(-0.429884\pi\)
\(588\) 2.81698 + 9.44311i 0.116170 + 0.389427i
\(589\) 4.65990 5.67811i 0.192008 0.233962i
\(590\) 1.33908 13.2814i 0.0551289 0.546787i
\(591\) −6.83858 + 16.5098i −0.281302 + 0.679122i
\(592\) −12.2136 + 3.58211i −0.501976 + 0.147224i
\(593\) 7.65890 + 18.4902i 0.314513 + 0.759302i 0.999526 + 0.0307713i \(0.00979636\pi\)
−0.685013 + 0.728531i \(0.740204\pi\)
\(594\) 7.17884 2.15959i 0.294551 0.0886089i
\(595\) 1.46275 0.144069i 0.0599671 0.00590624i
\(596\) 4.88774 15.8489i 0.200209 0.649194i
\(597\) 17.4839 + 9.34535i 0.715569 + 0.382480i
\(598\) −1.43163 + 3.43381i −0.0585437 + 0.140419i
\(599\) −2.65541 13.3496i −0.108497 0.545452i −0.996353 0.0853297i \(-0.972806\pi\)
0.887856 0.460122i \(-0.152194\pi\)
\(600\) 10.4630 6.88683i 0.427152 0.281154i
\(601\) 7.32819 + 1.45767i 0.298923 + 0.0594595i 0.342273 0.939600i \(-0.388803\pi\)
−0.0433501 + 0.999060i \(0.513803\pi\)
\(602\) 1.55494 + 7.91266i 0.0633747 + 0.322496i
\(603\) −3.09521 0.304851i −0.126047 0.0124145i
\(604\) −40.9690 + 16.7487i −1.66701 + 0.681494i
\(605\) 12.3687 + 3.75201i 0.502860 + 0.152541i
\(606\) 0.228154 0.121275i 0.00926814 0.00492644i
\(607\) −18.6817 + 18.6817i −0.758266 + 0.758266i −0.976007 0.217741i \(-0.930131\pi\)
0.217741 + 0.976007i \(0.430131\pi\)
\(608\) −7.42784 + 4.84002i −0.301238 + 0.196289i
\(609\) 1.84754 + 1.84754i 0.0748663 + 0.0748663i
\(610\) −2.57536 0.787726i −0.104273 0.0318941i
\(611\) 9.93546 32.7528i 0.401946 1.32504i
\(612\) 0.0124747 2.70122i 0.000504261 0.109190i
\(613\) −1.59760 + 16.2207i −0.0645265 + 0.655149i 0.907464 + 0.420130i \(0.138015\pi\)
−0.971991 + 0.235019i \(0.924485\pi\)
\(614\) 28.5301 + 19.1586i 1.15138 + 0.773180i
\(615\) −0.0671979 + 0.337826i −0.00270968 + 0.0136225i
\(616\) −19.8855 8.39868i −0.801208 0.338393i
\(617\) −38.7599 + 7.70983i −1.56042 + 0.310386i −0.898426 0.439126i \(-0.855288\pi\)
−0.661991 + 0.749512i \(0.730288\pi\)
\(618\) −24.4379 + 10.0565i −0.983038 + 0.404531i
\(619\) −4.71035 + 8.81245i −0.189325 + 0.354202i −0.958619 0.284693i \(-0.908108\pi\)
0.769294 + 0.638895i \(0.220608\pi\)
\(620\) 0.661922 + 7.05444i 0.0265834 + 0.283313i
\(621\) −0.0945407 0.959888i −0.00379379 0.0385190i
\(622\) −16.8247 + 31.3027i −0.674608 + 1.25512i
\(623\) −18.1775 + 7.52936i −0.728265 + 0.301657i
\(624\) 10.7191 2.02943i 0.429108 0.0812421i
\(625\) −15.4807 6.41233i −0.619229 0.256493i
\(626\) −3.93303 + 3.21259i −0.157196 + 0.128401i
\(627\) 6.42198 + 5.27038i 0.256469 + 0.210479i
\(628\) −0.830162 + 8.04760i −0.0331271 + 0.321134i
\(629\) 4.11265 1.24756i 0.163982 0.0497434i
\(630\) −1.08574 1.09077i −0.0432571 0.0434573i
\(631\) −12.4827 + 18.6816i −0.496927 + 0.743703i −0.992149 0.125063i \(-0.960087\pi\)
0.495222 + 0.868766i \(0.335087\pi\)
\(632\) 15.3143 + 1.61552i 0.609170 + 0.0642618i
\(633\) −3.22923 + 2.15770i −0.128350 + 0.0857609i
\(634\) 24.6912 16.4158i 0.980614 0.651955i
\(635\) 6.05651 + 7.37988i 0.240345 + 0.292862i
\(636\) 12.7682 + 8.61699i 0.506292 + 0.341686i
\(637\) 11.8515 6.33475i 0.469573 0.250992i
\(638\) 13.5424 1.30224i 0.536148 0.0515562i
\(639\) 5.21190 0.206179
\(640\) 1.80371 8.35937i 0.0712979 0.330433i
\(641\) 25.2508 0.997346 0.498673 0.866790i \(-0.333821\pi\)
0.498673 + 0.866790i \(0.333821\pi\)
\(642\) 14.9340 1.43606i 0.589398 0.0566767i
\(643\) −23.6632 + 12.6482i −0.933184 + 0.498797i −0.866611 0.498984i \(-0.833707\pi\)
−0.0665732 + 0.997782i \(0.521207\pi\)
\(644\) −1.55366 + 2.30213i −0.0612227 + 0.0907165i
\(645\) 1.89916 + 2.31413i 0.0747793 + 0.0911188i
\(646\) 2.49285 1.65736i 0.0980800 0.0652079i
\(647\) −10.6245 + 7.09906i −0.417692 + 0.279093i −0.746605 0.665267i \(-0.768318\pi\)
0.328913 + 0.944360i \(0.393318\pi\)
\(648\) −2.19878 + 1.77915i −0.0863763 + 0.0698915i
\(649\) 36.7761 55.0393i 1.44359 2.16048i
\(650\) −12.0507 12.1065i −0.472668 0.474856i
\(651\) −6.45734 + 1.95881i −0.253083 + 0.0767719i
\(652\) 20.2252 + 2.08636i 0.792081 + 0.0817083i
\(653\) 3.05298 + 2.50551i 0.119472 + 0.0980483i 0.692232 0.721675i \(-0.256627\pi\)
−0.572760 + 0.819723i \(0.694127\pi\)
\(654\) 19.2072 15.6888i 0.751060 0.613482i
\(655\) 1.16495 + 0.482538i 0.0455184 + 0.0188543i
\(656\) −0.998630 1.52486i −0.0389900 0.0595357i
\(657\) 2.61054 1.08132i 0.101847 0.0421864i
\(658\) 12.0969 22.5065i 0.471585 0.877394i
\(659\) 2.36134 + 23.9750i 0.0919846 + 0.933935i 0.924818 + 0.380411i \(0.124217\pi\)
−0.832833 + 0.553524i \(0.813283\pi\)
\(660\) −7.97862 + 0.748638i −0.310567 + 0.0291407i
\(661\) 18.5569 34.7175i 0.721780 1.35036i −0.206490 0.978449i \(-0.566204\pi\)
0.928270 0.371906i \(-0.121296\pi\)
\(662\) −11.0118 + 4.53149i −0.427988 + 0.176122i
\(663\) −3.61289 + 0.718649i −0.140313 + 0.0279100i
\(664\) 8.70099 + 21.4246i 0.337664 + 0.831437i
\(665\) 0.332737 1.67278i 0.0129030 0.0648676i
\(666\) −3.73587 2.50873i −0.144762 0.0972111i
\(667\) 0.171572 1.74200i 0.00664329 0.0674505i
\(668\) −0.952739 0.00439992i −0.0368626 0.000170238i
\(669\) 1.52975 5.04292i 0.0591437 0.194971i
\(670\) 3.17929 + 0.972451i 0.122827 + 0.0375690i
\(671\) −9.44344 9.44344i −0.364560 0.364560i
\(672\) 8.14383 + 0.0940277i 0.314155 + 0.00362720i
\(673\) 6.65881 6.65881i 0.256678 0.256678i −0.567023 0.823702i \(-0.691905\pi\)
0.823702 + 0.567023i \(0.191905\pi\)
\(674\) −19.8742 + 10.5641i −0.765526 + 0.406912i
\(675\) 4.23796 + 1.28557i 0.163119 + 0.0494816i
\(676\) 4.20900 + 10.2956i 0.161885 + 0.395986i
\(677\) 40.7816 + 4.01664i 1.56737 + 0.154372i 0.844096 0.536193i \(-0.180138\pi\)
0.723270 + 0.690565i \(0.242638\pi\)
\(678\) 5.32990 + 27.1224i 0.204693 + 1.04163i
\(679\) 14.6351 + 2.91111i 0.561645 + 0.111718i
\(680\) −0.582938 + 2.82810i −0.0223547 + 0.108453i
\(681\) 3.18326 + 16.0034i 0.121983 + 0.613250i
\(682\) −13.5209 + 32.4303i −0.517741 + 1.24182i
\(683\) 19.9039 + 10.6388i 0.761600 + 0.407084i 0.805989 0.591931i \(-0.201634\pi\)
−0.0443890 + 0.999014i \(0.514134\pi\)
\(684\) −2.99525 0.923727i −0.114526 0.0353196i
\(685\) 5.50893 0.542582i 0.210485 0.0207310i
\(686\) 23.2553 6.99583i 0.887893 0.267102i
\(687\) −4.64070 11.2036i −0.177054 0.427446i
\(688\) −15.7508 1.69835i −0.600493 0.0647488i
\(689\) 8.03869 19.4071i 0.306250 0.739352i
\(690\) −0.103430 + 1.02585i −0.00393752 + 0.0390536i
\(691\) 12.1161 14.7635i 0.460919 0.561631i −0.489741 0.871868i \(-0.662908\pi\)
0.950659 + 0.310237i \(0.100408\pi\)
\(692\) −1.05799 + 0.315611i −0.0402189 + 0.0119977i
\(693\) −2.21543 7.30329i −0.0841572 0.277429i
\(694\) 0.0161755 7.00518i 0.000614014 0.265913i
\(695\) −3.32468 2.22148i −0.126112 0.0842656i
\(696\) −4.54356 + 2.38827i −0.172223 + 0.0905271i
\(697\) 0.341935 + 0.511742i 0.0129517 + 0.0193836i
\(698\) −2.57142 + 12.7732i −0.0973299 + 0.483473i
\(699\) 14.6073 11.9879i 0.552498 0.453424i
\(700\) −7.03569 10.6357i −0.265924 0.401990i
\(701\) −11.7527 21.9877i −0.443893 0.830465i 0.556107 0.831111i \(-0.312294\pi\)
−1.00000 0.000645948i \(0.999794\pi\)
\(702\) 2.97592 + 2.45380i 0.112319 + 0.0926126i
\(703\) 4.98694i 0.188086i
\(704\) 27.3545 32.4055i 1.03096 1.22133i
\(705\) 9.48566i 0.357251i
\(706\) −28.6699 + 34.7704i −1.07901 + 1.30860i
\(707\) −0.123999 0.231986i −0.00466347 0.00872473i
\(708\) −4.98545 + 24.4723i −0.187365 + 0.919727i
\(709\) 23.0342 18.9037i 0.865067 0.709942i −0.0932517 0.995643i \(-0.529726\pi\)
0.958319 + 0.285700i \(0.0922261\pi\)
\(710\) −5.46178 1.09953i −0.204977 0.0412647i
\(711\) 3.02478 + 4.52691i 0.113438 + 0.169772i
\(712\) −3.52208 38.4920i −0.131996 1.44255i
\(713\) 3.75880 + 2.51155i 0.140768 + 0.0940583i
\(714\) −2.74999 0.00634994i −0.102916 0.000237641i
\(715\) 3.17228 + 10.4576i 0.118637 + 0.391092i
\(716\) −17.3651 + 32.1300i −0.648963 + 1.20075i
\(717\) −0.377770 + 0.460314i −0.0141081 + 0.0171907i
\(718\) −18.3310 1.84820i −0.684107 0.0689740i
\(719\) −4.91757 + 11.8721i −0.183394 + 0.442753i −0.988662 0.150158i \(-0.952022\pi\)
0.805268 + 0.592912i \(0.202022\pi\)
\(720\) 2.67954 1.40058i 0.0998606 0.0521965i
\(721\) 10.2954 + 24.8552i 0.383420 + 0.925658i
\(722\) 6.73992 + 22.4046i 0.250834 + 0.833814i
\(723\) 7.54014 0.742639i 0.280421 0.0276190i
\(724\) −19.8762 37.6025i −0.738695 1.39749i
\(725\) 7.08808 + 3.78866i 0.263245 + 0.140707i
\(726\) −22.3205 9.30588i −0.828390 0.345374i
\(727\) −4.16097 20.9186i −0.154322 0.775828i −0.977973 0.208731i \(-0.933067\pi\)
0.823651 0.567096i \(-0.191933\pi\)
\(728\) −2.09124 10.9078i −0.0775066 0.404268i
\(729\) −0.980785 0.195090i −0.0363254 0.00722557i
\(730\) −2.96383 + 0.582431i −0.109696 + 0.0215567i
\(731\) 5.32343 + 0.524312i 0.196894 + 0.0193924i
\(732\) 4.64625 + 1.94973i 0.171731 + 0.0720640i
\(733\) 50.6845 + 15.3750i 1.87207 + 0.567887i 0.996379 + 0.0850203i \(0.0270955\pi\)
0.875694 + 0.482867i \(0.160404\pi\)
\(734\) 6.70390 + 12.6121i 0.247446 + 0.465520i
\(735\) 2.63349 2.63349i 0.0971378 0.0971378i
\(736\) −3.41247 4.25740i −0.125785 0.156930i
\(737\) 11.6580 + 11.6580i 0.429426 + 0.429426i
\(738\) 0.188495 0.616260i 0.00693861 0.0226848i
\(739\) −13.4072 + 44.1976i −0.493192 + 1.62584i 0.258279 + 0.966070i \(0.416845\pi\)
−0.751471 + 0.659766i \(0.770655\pi\)
\(740\) 3.38573 + 3.41715i 0.124462 + 0.125617i
\(741\) −0.418967 + 4.25385i −0.0153912 + 0.156269i
\(742\) 8.74245 13.0188i 0.320946 0.477936i
\(743\) −8.21313 + 41.2902i −0.301311 + 1.51479i 0.472475 + 0.881344i \(0.343361\pi\)
−0.773786 + 0.633447i \(0.781639\pi\)
\(744\) 0.0918304 13.2562i 0.00336667 0.485998i
\(745\) −6.14781 + 1.22288i −0.225238 + 0.0448027i
\(746\) −16.5707 40.2679i −0.606696 1.47431i
\(747\) −3.85395 + 7.21023i −0.141009 + 0.263808i
\(748\) −9.13497 + 11.0268i −0.334008 + 0.403178i
\(749\) −1.49708 15.2001i −0.0547020 0.555399i
\(750\) −8.87783 4.77169i −0.324173 0.174237i
\(751\) 2.37599 0.984168i 0.0867012 0.0359128i −0.338911 0.940818i \(-0.610059\pi\)
0.425613 + 0.904906i \(0.360059\pi\)
\(752\) 35.1653 + 35.8209i 1.28235 + 1.30626i
\(753\) 27.6962 + 11.4721i 1.00931 + 0.418068i
\(754\) 4.42815 + 5.42119i 0.161264 + 0.197428i
\(755\) 12.9306 + 10.6119i 0.470594 + 0.386207i
\(756\) 1.81642 + 2.23427i 0.0660625 + 0.0812597i
\(757\) 11.9448 3.62341i 0.434140 0.131695i −0.0656477 0.997843i \(-0.520911\pi\)
0.499788 + 0.866148i \(0.333411\pi\)
\(758\) −34.5413 + 34.3821i −1.25460 + 1.24882i
\(759\) −2.84058 + 4.25123i −0.103107 + 0.154310i
\(760\) 2.94399 + 1.59991i 0.106790 + 0.0580349i
\(761\) 6.21635 4.15363i 0.225342 0.150569i −0.437775 0.899085i \(-0.644233\pi\)
0.663117 + 0.748516i \(0.269233\pi\)
\(762\) −9.88925 14.8745i −0.358250 0.538848i
\(763\) −16.0171 19.5169i −0.579857 0.706558i
\(764\) −2.53235 13.0456i −0.0916173 0.471972i
\(765\) −0.900357 + 0.481251i −0.0325525 + 0.0173997i
\(766\) 0.481059 + 5.00267i 0.0173814 + 0.180754i
\(767\) 34.0582 1.22977
\(768\) −4.92658 + 15.2226i −0.177773 + 0.549300i
\(769\) 24.1534 0.870994 0.435497 0.900190i \(-0.356573\pi\)
0.435497 + 0.900190i \(0.356573\pi\)
\(770\) 0.780902 + 8.12083i 0.0281418 + 0.292654i
\(771\) 15.0582 8.04880i 0.542309 0.289870i
\(772\) 2.08375 + 10.7346i 0.0749958 + 0.386346i
\(773\) −7.05268 8.59372i −0.253667 0.309095i