Properties

Label 648.2.bb.b.155.17
Level $648$
Weight $2$
Character 648.155
Analytic conductor $5.174$
Analytic rank $0$
Dimension $1872$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 648 = 2^{3} \cdot 3^{4} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 648.bb (of order \(54\), degree \(18\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.17430605098\)
Analytic rank: \(0\)
Dimension: \(1872\)
Relative dimension: \(104\) over \(\Q(\zeta_{54})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{54}]$

Embedding invariants

Embedding label 155.17
Character \(\chi\) \(=\) 648.155
Dual form 648.2.bb.b.347.17

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.24257 - 0.675295i) q^{2} +(1.66780 - 0.467376i) q^{3} +(1.08795 + 1.67820i) q^{4} +(-0.690567 + 0.454193i) q^{5} +(-2.38797 - 0.545511i) q^{6} +(1.79170 + 1.69038i) q^{7} +(-0.218578 - 2.81997i) q^{8} +(2.56312 - 1.55898i) q^{9} +O(q^{10})\) \(q+(-1.24257 - 0.675295i) q^{2} +(1.66780 - 0.467376i) q^{3} +(1.08795 + 1.67820i) q^{4} +(-0.690567 + 0.454193i) q^{5} +(-2.38797 - 0.545511i) q^{6} +(1.79170 + 1.69038i) q^{7} +(-0.218578 - 2.81997i) q^{8} +(2.56312 - 1.55898i) q^{9} +(1.16479 - 0.0980299i) q^{10} +(2.65771 + 5.29194i) q^{11} +(2.59884 + 2.29042i) q^{12} +(-4.45793 + 1.92296i) q^{13} +(-1.08480 - 3.31034i) q^{14} +(-0.939449 + 1.08026i) q^{15} +(-1.63271 + 3.65161i) q^{16} +(-1.63454 - 1.94797i) q^{17} +(-4.23762 + 0.206277i) q^{18} +(4.54105 + 3.81039i) q^{19} +(-1.51353 - 0.664768i) q^{20} +(3.77824 + 1.98182i) q^{21} +(0.271229 - 8.37034i) q^{22} +(-4.49074 - 4.75991i) q^{23} +(-1.68253 - 4.60099i) q^{24} +(-1.70981 + 3.96378i) q^{25} +(6.83786 + 0.621003i) q^{26} +(3.54615 - 3.79801i) q^{27} +(-0.887510 + 4.84588i) q^{28} +(0.241880 - 0.0282717i) q^{29} +(1.89682 - 0.707889i) q^{30} +(1.82303 + 7.69198i) q^{31} +(4.49467 - 3.43482i) q^{32} +(6.90586 + 7.58375i) q^{33} +(0.715576 + 3.52429i) q^{34} +(-2.00504 - 0.353544i) q^{35} +(5.40484 + 2.60533i) q^{36} +(4.74486 - 0.836646i) q^{37} +(-3.06943 - 7.80121i) q^{38} +(-6.53620 + 5.29065i) q^{39} +(1.43175 + 1.84810i) q^{40} +(-3.29326 - 2.45174i) q^{41} +(-3.35641 - 5.01397i) q^{42} +(0.248525 - 4.26702i) q^{43} +(-5.98947 + 10.2176i) q^{44} +(-1.06193 + 2.24073i) q^{45} +(2.36571 + 8.94708i) q^{46} +(-0.190946 - 0.0452551i) q^{47} +(-1.01636 + 6.85325i) q^{48} +(-0.0542166 - 0.930864i) q^{49} +(4.80127 - 3.77064i) q^{50} +(-3.63652 - 2.48488i) q^{51} +(-8.07715 - 5.38921i) q^{52} +(1.90819 + 3.30508i) q^{53} +(-6.97110 + 2.32459i) q^{54} +(-4.23889 - 2.44732i) q^{55} +(4.37519 - 5.42201i) q^{56} +(9.35444 + 4.23260i) q^{57} +(-0.319644 - 0.128211i) q^{58} +(2.37993 - 4.73883i) q^{59} +(-2.83497 - 0.401313i) q^{60} +(13.5883 - 4.06807i) q^{61} +(2.92911 - 10.7889i) q^{62} +(7.22760 + 1.53943i) q^{63} +(-7.90445 + 1.23277i) q^{64} +(2.20510 - 3.35270i) q^{65} +(-3.45974 - 14.0868i) q^{66} +(-7.86114 - 0.918835i) q^{67} +(1.49078 - 4.86239i) q^{68} +(-9.71432 - 5.83971i) q^{69} +(2.25266 + 1.79330i) q^{70} +(1.73768 + 0.632462i) q^{71} +(-4.95651 - 6.88716i) q^{72} +(1.83089 - 0.666389i) q^{73} +(-6.46079 - 2.16459i) q^{74} +(-0.999045 + 7.40992i) q^{75} +(-1.45415 + 11.7663i) q^{76} +(-4.18357 + 13.9741i) q^{77} +(11.6944 - 2.16014i) q^{78} +(6.75787 - 5.03105i) q^{79} +(-0.531039 - 3.26325i) q^{80} +(4.13917 - 7.99170i) q^{81} +(2.43646 + 5.27038i) q^{82} +(6.58472 - 4.90214i) q^{83} +(0.784657 + 8.49677i) q^{84} +(2.01352 + 0.602807i) q^{85} +(-3.19030 + 5.13424i) q^{86} +(0.390194 - 0.160200i) q^{87} +(14.3422 - 8.65137i) q^{88} +(4.03284 + 11.0801i) q^{89} +(2.83267 - 2.06715i) q^{90} +(-11.2378 - 4.09023i) q^{91} +(3.10235 - 12.7149i) q^{92} +(6.63550 + 11.9766i) q^{93} +(0.206703 + 0.185177i) q^{94} +(-4.86655 - 0.568818i) q^{95} +(5.89086 - 7.82929i) q^{96} +(-8.15992 - 5.36686i) q^{97} +(-0.561239 + 1.19327i) q^{98} +(15.0621 + 9.42056i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1872q - 18q^{2} - 36q^{3} - 18q^{4} - 18q^{6} - 18q^{8} - 36q^{9} + O(q^{10}) \) \( 1872q - 18q^{2} - 36q^{3} - 18q^{4} - 18q^{6} - 18q^{8} - 36q^{9} - 18q^{10} - 36q^{11} - 18q^{12} - 18q^{14} - 18q^{16} - 36q^{17} - 90q^{18} - 36q^{19} - 18q^{20} - 18q^{22} - 18q^{24} - 36q^{25} - 27q^{26} - 36q^{27} - 9q^{28} - 18q^{30} - 18q^{32} - 36q^{33} - 18q^{34} - 36q^{35} - 18q^{36} + 90q^{38} - 18q^{40} - 36q^{41} - 63q^{42} - 36q^{43} + 54q^{44} - 18q^{46} + 81q^{48} - 36q^{49} - 135q^{50} - 54q^{51} - 18q^{52} - 144q^{54} + 108q^{56} - 36q^{57} - 18q^{58} + 18q^{59} + 99q^{60} - 117q^{62} - 18q^{64} - 36q^{65} - 90q^{66} - 36q^{67} + 243q^{68} - 18q^{70} - 18q^{72} - 36q^{73} - 18q^{74} - 36q^{75} - 54q^{76} - 45q^{78} - 36q^{81} - 36q^{82} - 36q^{83} + 9q^{84} - 18q^{86} + 54q^{88} - 198q^{89} - 81q^{90} - 36q^{91} - 108q^{92} - 18q^{94} - 423q^{96} - 36q^{97} - 189q^{98} - 36q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/648\mathbb{Z}\right)^\times\).

\(n\) \(325\) \(487\) \(569\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{43}{54}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.24257 0.675295i −0.878629 0.477505i
\(3\) 1.66780 0.467376i 0.962905 0.269839i
\(4\) 1.08795 + 1.67820i 0.543977 + 0.839100i
\(5\) −0.690567 + 0.454193i −0.308831 + 0.203121i −0.694458 0.719534i \(-0.744356\pi\)
0.385627 + 0.922655i \(0.373985\pi\)
\(6\) −2.38797 0.545511i −0.974886 0.222704i
\(7\) 1.79170 + 1.69038i 0.677198 + 0.638903i 0.945952 0.324306i \(-0.105131\pi\)
−0.268755 + 0.963209i \(0.586612\pi\)
\(8\) −0.218578 2.81997i −0.0772791 0.997009i
\(9\) 2.56312 1.55898i 0.854373 0.519660i
\(10\) 1.16479 0.0980299i 0.368339 0.0309998i
\(11\) 2.65771 + 5.29194i 0.801331 + 1.59558i 0.803294 + 0.595582i \(0.203079\pi\)
−0.00196389 + 0.999998i \(0.500625\pi\)
\(12\) 2.59884 + 2.29042i 0.750221 + 0.661187i
\(13\) −4.45793 + 1.92296i −1.23641 + 0.533334i −0.911065 0.412262i \(-0.864739\pi\)
−0.325343 + 0.945596i \(0.605480\pi\)
\(14\) −1.08480 3.31034i −0.289926 0.884724i
\(15\) −0.939449 + 1.08026i −0.242565 + 0.278921i
\(16\) −1.63271 + 3.65161i −0.408178 + 0.912902i
\(17\) −1.63454 1.94797i −0.396435 0.472452i 0.530495 0.847688i \(-0.322006\pi\)
−0.926929 + 0.375236i \(0.877562\pi\)
\(18\) −4.23762 + 0.206277i −0.998817 + 0.0486200i
\(19\) 4.54105 + 3.81039i 1.04179 + 0.874163i 0.992206 0.124607i \(-0.0397669\pi\)
0.0495811 + 0.998770i \(0.484211\pi\)
\(20\) −1.51353 0.664768i −0.338436 0.148647i
\(21\) 3.77824 + 1.98182i 0.824479 + 0.432469i
\(22\) 0.271229 8.37034i 0.0578262 1.78456i
\(23\) −4.49074 4.75991i −0.936384 0.992509i 0.0636013 0.997975i \(-0.479741\pi\)
−0.999985 + 0.00546656i \(0.998260\pi\)
\(24\) −1.68253 4.60099i −0.343445 0.939173i
\(25\) −1.70981 + 3.96378i −0.341961 + 0.792756i
\(26\) 6.83786 + 0.621003i 1.34101 + 0.121789i
\(27\) 3.54615 3.79801i 0.682456 0.730927i
\(28\) −0.887510 + 4.84588i −0.167724 + 0.915785i
\(29\) 0.241880 0.0282717i 0.0449160 0.00524992i −0.0936052 0.995609i \(-0.529839\pi\)
0.138521 + 0.990359i \(0.455765\pi\)
\(30\) 1.89682 0.707889i 0.346311 0.129242i
\(31\) 1.82303 + 7.69198i 0.327426 + 1.38152i 0.849036 + 0.528336i \(0.177184\pi\)
−0.521609 + 0.853185i \(0.674668\pi\)
\(32\) 4.49467 3.43482i 0.794553 0.607195i
\(33\) 6.90586 + 7.58375i 1.20216 + 1.32016i
\(34\) 0.715576 + 3.52429i 0.122720 + 0.604410i
\(35\) −2.00504 0.353544i −0.338914 0.0597598i
\(36\) 5.40484 + 2.60533i 0.900806 + 0.434222i
\(37\) 4.74486 0.836646i 0.780050 0.137544i 0.230575 0.973054i \(-0.425939\pi\)
0.549474 + 0.835511i \(0.314828\pi\)
\(38\) −3.06943 7.80121i −0.497927 1.26552i
\(39\) −6.53620 + 5.29065i −1.04663 + 0.847182i
\(40\) 1.43175 + 1.84810i 0.226380 + 0.292210i
\(41\) −3.29326 2.45174i −0.514321 0.382898i 0.308477 0.951232i \(-0.400181\pi\)
−0.822798 + 0.568334i \(0.807588\pi\)
\(42\) −3.35641 5.01397i −0.517905 0.773672i
\(43\) 0.248525 4.26702i 0.0378998 0.650714i −0.924852 0.380327i \(-0.875811\pi\)
0.962752 0.270387i \(-0.0871516\pi\)
\(44\) −5.98947 + 10.2176i −0.902946 + 1.54036i
\(45\) −1.06193 + 2.24073i −0.158303 + 0.334028i
\(46\) 2.36571 + 8.94708i 0.348805 + 1.31918i
\(47\) −0.190946 0.0452551i −0.0278524 0.00660113i 0.216666 0.976246i \(-0.430482\pi\)
−0.244518 + 0.969645i \(0.578630\pi\)
\(48\) −1.01636 + 6.85325i −0.146699 + 0.989181i
\(49\) −0.0542166 0.930864i −0.00774523 0.132981i
\(50\) 4.80127 3.77064i 0.679002 0.533250i
\(51\) −3.63652 2.48488i −0.509215 0.347953i
\(52\) −8.07715 5.38921i −1.12010 0.747348i
\(53\) 1.90819 + 3.30508i 0.262110 + 0.453988i 0.966802 0.255525i \(-0.0822483\pi\)
−0.704692 + 0.709513i \(0.748915\pi\)
\(54\) −6.97110 + 2.32459i −0.948647 + 0.316337i
\(55\) −4.23889 2.44732i −0.571572 0.329997i
\(56\) 4.37519 5.42201i 0.584659 0.724547i
\(57\) 9.35444 + 4.23260i 1.23903 + 0.560621i
\(58\) −0.319644 0.128211i −0.0419713 0.0168349i
\(59\) 2.37993 4.73883i 0.309840 0.616942i −0.683784 0.729684i \(-0.739667\pi\)
0.993624 + 0.112742i \(0.0359633\pi\)
\(60\) −2.83497 0.401313i −0.365993 0.0518093i
\(61\) 13.5883 4.06807i 1.73981 0.520863i 0.749772 0.661697i \(-0.230163\pi\)
0.990033 + 0.140833i \(0.0449781\pi\)
\(62\) 2.92911 10.7889i 0.371997 1.37019i
\(63\) 7.22760 + 1.53943i 0.910592 + 0.193949i
\(64\) −7.90445 + 1.23277i −0.988056 + 0.154096i
\(65\) 2.20510 3.35270i 0.273509 0.415851i
\(66\) −3.45974 14.0868i −0.425864 1.73397i
\(67\) −7.86114 0.918835i −0.960391 0.112254i −0.378572 0.925572i \(-0.623585\pi\)
−0.581819 + 0.813318i \(0.697659\pi\)
\(68\) 1.49078 4.86239i 0.180783 0.589652i
\(69\) −9.71432 5.83971i −1.16947 0.703019i
\(70\) 2.25266 + 1.79330i 0.269244 + 0.214340i
\(71\) 1.73768 + 0.632462i 0.206224 + 0.0750594i 0.443067 0.896489i \(-0.353890\pi\)
−0.236843 + 0.971548i \(0.576113\pi\)
\(72\) −4.95651 6.88716i −0.584131 0.811659i
\(73\) 1.83089 0.666389i 0.214289 0.0779950i −0.232645 0.972562i \(-0.574738\pi\)
0.446934 + 0.894567i \(0.352516\pi\)
\(74\) −6.46079 2.16459i −0.751052 0.251628i
\(75\) −0.999045 + 7.40992i −0.115360 + 0.855624i
\(76\) −1.45415 + 11.7663i −0.166802 + 1.34969i
\(77\) −4.18357 + 13.9741i −0.476762 + 1.59250i
\(78\) 11.6944 2.16014i 1.32413 0.244588i
\(79\) 6.75787 5.03105i 0.760320 0.566037i −0.145672 0.989333i \(-0.546534\pi\)
0.905992 + 0.423296i \(0.139127\pi\)
\(80\) −0.531039 3.26325i −0.0593720 0.364842i
\(81\) 4.13917 7.99170i 0.459908 0.887967i
\(82\) 2.43646 + 5.27038i 0.269061 + 0.582016i
\(83\) 6.58472 4.90214i 0.722766 0.538080i −0.171736 0.985143i \(-0.554938\pi\)
0.894502 + 0.447063i \(0.147530\pi\)
\(84\) 0.784657 + 8.49677i 0.0856131 + 0.927073i
\(85\) 2.01352 + 0.602807i 0.218396 + 0.0653836i
\(86\) −3.19030 + 5.13424i −0.344019 + 0.553639i
\(87\) 0.390194 0.160200i 0.0418332 0.0171753i
\(88\) 14.3422 8.65137i 1.52888 0.922239i
\(89\) 4.03284 + 11.0801i 0.427480 + 1.17449i 0.947337 + 0.320239i \(0.103763\pi\)
−0.519856 + 0.854254i \(0.674014\pi\)
\(90\) 2.83267 2.06715i 0.298590 0.217896i
\(91\) −11.2378 4.09023i −1.17804 0.428772i
\(92\) 3.10235 12.7149i 0.323443 1.32562i
\(93\) 6.63550 + 11.9766i 0.688069 + 1.24192i
\(94\) 0.206703 + 0.185177i 0.0213198 + 0.0190996i
\(95\) −4.86655 0.568818i −0.499297 0.0583595i
\(96\) 5.89086 7.82929i 0.601234 0.799073i
\(97\) −8.15992 5.36686i −0.828514 0.544923i 0.0629482 0.998017i \(-0.479950\pi\)
−0.891463 + 0.453094i \(0.850320\pi\)
\(98\) −0.561239 + 1.19327i −0.0566937 + 0.120539i
\(99\) 15.0621 + 9.42056i 1.51379 + 0.946802i
\(100\) −8.51221 + 1.44301i −0.851221 + 0.144301i
\(101\) −0.770391 2.57328i −0.0766567 0.256051i 0.911068 0.412256i \(-0.135259\pi\)
−0.987725 + 0.156205i \(0.950074\pi\)
\(102\) 2.84060 + 5.54336i 0.281262 + 0.548875i
\(103\) 5.28344 10.5202i 0.520593 1.03659i −0.467681 0.883897i \(-0.654911\pi\)
0.988274 0.152689i \(-0.0487932\pi\)
\(104\) 6.39711 + 12.1509i 0.627288 + 1.19150i
\(105\) −3.50925 + 0.347469i −0.342468 + 0.0339095i
\(106\) −0.139153 5.39539i −0.0135157 0.524046i
\(107\) 13.0257 + 7.52039i 1.25924 + 0.727023i 0.972927 0.231112i \(-0.0742365\pi\)
0.286314 + 0.958136i \(0.407570\pi\)
\(108\) 10.2319 + 1.81908i 0.984561 + 0.175041i
\(109\) 14.8475 8.57220i 1.42213 0.821068i 0.425650 0.904888i \(-0.360046\pi\)
0.996481 + 0.0838204i \(0.0267122\pi\)
\(110\) 3.61445 + 5.90347i 0.344624 + 0.562874i
\(111\) 7.52245 3.61299i 0.713999 0.342930i
\(112\) −9.09793 + 3.78268i −0.859673 + 0.357429i
\(113\) −12.4661 + 0.726069i −1.17271 + 0.0683029i −0.633416 0.773812i \(-0.718348\pi\)
−0.539299 + 0.842114i \(0.681311\pi\)
\(114\) −8.76529 11.5763i −0.820944 1.08422i
\(115\) 5.26307 + 1.24737i 0.490784 + 0.116318i
\(116\) 0.310600 + 0.375165i 0.0288385 + 0.0348332i
\(117\) −8.42836 + 11.8786i −0.779202 + 1.09818i
\(118\) −6.15733 + 4.28116i −0.566828 + 0.394113i
\(119\) 0.364206 6.25317i 0.0333867 0.573227i
\(120\) 3.25164 + 2.41310i 0.296832 + 0.220285i
\(121\) −14.3725 + 19.3056i −1.30659 + 1.75505i
\(122\) −19.6316 4.12125i −1.77736 0.373121i
\(123\) −6.63839 2.54983i −0.598563 0.229910i
\(124\) −10.9253 + 11.4279i −0.981121 + 1.02626i
\(125\) −1.33722 7.58377i −0.119605 0.678313i
\(126\) −7.94122 6.79360i −0.707460 0.605222i
\(127\) −19.6379 3.46269i −1.74258 0.307264i −0.790352 0.612653i \(-0.790102\pi\)
−0.952228 + 0.305389i \(0.901213\pi\)
\(128\) 10.6543 + 3.80603i 0.941716 + 0.336409i
\(129\) −1.57981 7.23269i −0.139094 0.636803i
\(130\) −5.00405 + 2.67686i −0.438884 + 0.234776i
\(131\) −1.93230 8.15300i −0.168825 0.712331i −0.989931 0.141554i \(-0.954790\pi\)
0.821105 0.570777i \(-0.193358\pi\)
\(132\) −5.21380 + 19.8402i −0.453803 + 1.72687i
\(133\) 1.69518 + 14.5032i 0.146990 + 1.25758i
\(134\) 9.14752 + 6.45030i 0.790225 + 0.557221i
\(135\) −0.723823 + 4.23341i −0.0622967 + 0.364354i
\(136\) −5.13594 + 5.03514i −0.440403 + 0.431760i
\(137\) −5.00934 2.16082i −0.427977 0.184611i 0.171186 0.985239i \(-0.445240\pi\)
−0.599162 + 0.800628i \(0.704500\pi\)
\(138\) 8.12719 + 13.8163i 0.691832 + 1.17612i
\(139\) −11.0803 11.7444i −0.939815 0.996146i 0.0601826 0.998187i \(-0.480832\pi\)
−0.999998 + 0.00204136i \(0.999350\pi\)
\(140\) −1.58808 3.74951i −0.134217 0.316891i
\(141\) −0.339611 + 0.0137671i −0.0286004 + 0.00115940i
\(142\) −1.73208 1.95932i −0.145353 0.164423i
\(143\) −22.0241 18.4804i −1.84175 1.54541i
\(144\) 1.50795 + 11.9049i 0.125662 + 0.992073i
\(145\) −0.154193 + 0.129384i −0.0128051 + 0.0107447i
\(146\) −2.72502 0.408356i −0.225524 0.0337957i
\(147\) −0.525486 1.52716i −0.0433413 0.125958i
\(148\) 6.56625 + 7.05258i 0.539742 + 0.579719i
\(149\) −0.289504 0.671147i −0.0237171 0.0549825i 0.905946 0.423393i \(-0.139161\pi\)
−0.929663 + 0.368411i \(0.879902\pi\)
\(150\) 6.24526 8.53268i 0.509923 0.696691i
\(151\) −4.44221 8.84517i −0.361502 0.719810i 0.637202 0.770697i \(-0.280092\pi\)
−0.998704 + 0.0508866i \(0.983795\pi\)
\(152\) 9.75261 13.6385i 0.791041 1.10623i
\(153\) −7.22637 2.44467i −0.584218 0.197640i
\(154\) 14.6350 14.5386i 1.17932 1.17156i
\(155\) −4.75257 4.48382i −0.381736 0.360149i
\(156\) −15.9899 5.21306i −1.28021 0.417379i
\(157\) 7.15405 + 10.8772i 0.570955 + 0.868095i 0.999370 0.0354869i \(-0.0112982\pi\)
−0.428415 + 0.903582i \(0.640928\pi\)
\(158\) −11.7946 + 1.68787i −0.938325 + 0.134280i
\(159\) 4.72720 + 4.62038i 0.374891 + 0.366420i
\(160\) −1.54380 + 4.41342i −0.122048 + 0.348911i
\(161\) 16.1194i 1.27038i
\(162\) −10.5400 + 7.13508i −0.828097 + 0.560585i
\(163\) −3.86232 −0.302521 −0.151260 0.988494i \(-0.548333\pi\)
−0.151260 + 0.988494i \(0.548333\pi\)
\(164\) 0.531596 8.19414i 0.0415107 0.639854i
\(165\) −8.21345 2.10050i −0.639416 0.163523i
\(166\) −11.4924 + 1.64462i −0.891979 + 0.127647i
\(167\) −9.19416 + 6.04709i −0.711465 + 0.467938i −0.852943 0.522003i \(-0.825185\pi\)
0.141478 + 0.989941i \(0.454815\pi\)
\(168\) 4.76283 11.0877i 0.367460 0.855434i
\(169\) 7.25423 7.68904i 0.558018 0.591464i
\(170\) −2.09486 2.10875i −0.160668 0.161733i
\(171\) 17.5796 + 2.68709i 1.34434 + 0.205487i
\(172\) 7.43129 4.22524i 0.566631 0.322172i
\(173\) −18.0217 + 9.05086i −1.37017 + 0.688124i −0.973254 0.229732i \(-0.926215\pi\)
−0.396914 + 0.917856i \(0.629919\pi\)
\(174\) −0.593025 0.0644360i −0.0449571 0.00488488i
\(175\) −9.76375 + 4.21167i −0.738070 + 0.318372i
\(176\) −23.6634 + 1.06472i −1.78369 + 0.0802562i
\(177\) 1.75443 9.01574i 0.131871 0.677664i
\(178\) 2.47128 16.4912i 0.185230 1.23607i
\(179\) −8.09467 9.64685i −0.605024 0.721039i 0.373395 0.927673i \(-0.378194\pi\)
−0.978418 + 0.206633i \(0.933749\pi\)
\(180\) −4.91572 + 0.655684i −0.366396 + 0.0488718i
\(181\) −7.79783 + 9.29310i −0.579608 + 0.690750i −0.973573 0.228375i \(-0.926659\pi\)
0.393965 + 0.919126i \(0.371103\pi\)
\(182\) 11.2016 + 12.6712i 0.830321 + 0.939253i
\(183\) 20.7613 13.1356i 1.53472 0.971010i
\(184\) −12.4412 + 13.7042i −0.917178 + 1.01028i
\(185\) −2.89664 + 2.73284i −0.212965 + 0.200922i
\(186\) −0.157297 19.3627i −0.0115335 1.41974i
\(187\) 5.96441 13.8270i 0.436161 1.01113i
\(188\) −0.131794 0.369681i −0.00961204 0.0269618i
\(189\) 12.7737 0.810548i 0.929149 0.0589587i
\(190\) 5.66290 + 3.99315i 0.410830 + 0.289694i
\(191\) 11.5119 1.34555i 0.832972 0.0973604i 0.311092 0.950380i \(-0.399305\pi\)
0.521879 + 0.853019i \(0.325231\pi\)
\(192\) −12.6069 + 5.75036i −0.909823 + 0.414996i
\(193\) 9.36701 2.22002i 0.674252 0.159801i 0.120794 0.992678i \(-0.461456\pi\)
0.553458 + 0.832877i \(0.313308\pi\)
\(194\) 6.51505 + 12.1790i 0.467753 + 0.874405i
\(195\) 2.11071 6.62224i 0.151151 0.474229i
\(196\) 1.50319 1.10372i 0.107371 0.0788374i
\(197\) −1.68930 + 9.58052i −0.120358 + 0.682583i 0.863599 + 0.504179i \(0.168205\pi\)
−0.983957 + 0.178405i \(0.942906\pi\)
\(198\) −12.3540 21.8770i −0.877960 1.55473i
\(199\) −6.69197 + 1.17998i −0.474381 + 0.0836462i −0.405727 0.913994i \(-0.632982\pi\)
−0.0686543 + 0.997641i \(0.521871\pi\)
\(200\) 11.5515 + 3.95521i 0.816812 + 0.279675i
\(201\) −13.5403 + 2.14167i −0.955056 + 0.151062i
\(202\) −0.780462 + 3.71772i −0.0549131 + 0.261578i
\(203\) 0.481165 + 0.358214i 0.0337712 + 0.0251417i
\(204\) 0.213759 8.80625i 0.0149661 0.616561i
\(205\) 3.38778 + 0.197316i 0.236613 + 0.0137811i
\(206\) −13.6693 + 9.50419i −0.952383 + 0.662188i
\(207\) −18.9309 5.19924i −1.31579 0.361372i
\(208\) 0.256600 19.4183i 0.0177920 1.34642i
\(209\) −8.09556 + 34.1579i −0.559982 + 2.36275i
\(210\) 4.59513 + 1.93803i 0.317094 + 0.133737i
\(211\) 0.495906 + 8.51437i 0.0341396 + 0.586154i 0.971389 + 0.237494i \(0.0763260\pi\)
−0.937249 + 0.348660i \(0.886637\pi\)
\(212\) −3.47057 + 6.79811i −0.238360 + 0.466896i
\(213\) 3.19369 + 0.242674i 0.218828 + 0.0166277i
\(214\) −11.1068 18.1408i −0.759248 1.24008i
\(215\) 1.76643 + 3.05954i 0.120469 + 0.208659i
\(216\) −11.4854 9.16986i −0.781480 0.623930i
\(217\) −9.73604 + 16.8633i −0.660925 + 1.14476i
\(218\) −24.2378 + 0.625120i −1.64159 + 0.0423385i
\(219\) 2.74211 1.96712i 0.185294 0.132926i
\(220\) −0.504619 9.77628i −0.0340214 0.659117i
\(221\) 11.0326 + 5.54076i 0.742130 + 0.372712i
\(222\) −11.7870 0.590481i −0.791091 0.0396305i
\(223\) 1.36766 0.409451i 0.0915855 0.0274189i −0.240683 0.970604i \(-0.577371\pi\)
0.332268 + 0.943185i \(0.392186\pi\)
\(224\) 13.8592 + 1.44354i 0.926008 + 0.0964509i
\(225\) 1.79701 + 12.8252i 0.119800 + 0.855013i
\(226\) 15.9803 + 7.51612i 1.06300 + 0.499965i
\(227\) −10.8150 + 16.4435i −0.717819 + 1.09139i 0.273749 + 0.961801i \(0.411736\pi\)
−0.991568 + 0.129590i \(0.958634\pi\)
\(228\) 3.07406 + 20.3035i 0.203585 + 1.34463i
\(229\) −1.31988 + 11.2923i −0.0872199 + 0.746214i 0.876886 + 0.480698i \(0.159617\pi\)
−0.964106 + 0.265516i \(0.914458\pi\)
\(230\) −5.69739 5.10407i −0.375674 0.336552i
\(231\) −0.446210 + 25.2613i −0.0293584 + 1.66207i
\(232\) −0.132595 0.675914i −0.00870529 0.0443759i
\(233\) −1.70629 + 4.68800i −0.111783 + 0.307121i −0.982952 0.183862i \(-0.941140\pi\)
0.871169 + 0.490983i \(0.163362\pi\)
\(234\) 18.4944 9.06837i 1.20902 0.592818i
\(235\) 0.152416 0.0554748i 0.00994250 0.00361877i
\(236\) 10.5419 1.16163i 0.686222 0.0756157i
\(237\) 8.91940 11.5493i 0.579377 0.750205i
\(238\) −4.67528 + 7.52405i −0.303054 + 0.487711i
\(239\) 6.94229 23.1889i 0.449059 1.49996i −0.371517 0.928426i \(-0.621162\pi\)
0.820577 0.571537i \(-0.193652\pi\)
\(240\) −2.41083 5.19425i −0.155618 0.335287i
\(241\) −15.6956 21.0829i −1.01104 1.35807i −0.932506 0.361155i \(-0.882383\pi\)
−0.0785368 0.996911i \(-0.525025\pi\)
\(242\) 30.8957 14.2828i 1.98605 0.918136i
\(243\) 3.16818 15.2631i 0.203239 0.979129i
\(244\) 21.6105 + 18.3780i 1.38347 + 1.17653i
\(245\) 0.460232 + 0.618199i 0.0294031 + 0.0394953i
\(246\) 6.52677 + 7.65121i 0.416132 + 0.487823i
\(247\) −27.5709 8.25419i −1.75430 0.525202i
\(248\) 21.2927 6.82220i 1.35209 0.433210i
\(249\) 8.69085 11.2533i 0.550761 0.713151i
\(250\) −3.45969 + 10.3264i −0.218810 + 0.653097i
\(251\) 7.43211 + 20.4196i 0.469111 + 1.28887i 0.918460 + 0.395515i \(0.129434\pi\)
−0.449349 + 0.893356i \(0.648344\pi\)
\(252\) 5.27983 + 13.8042i 0.332598 + 0.869582i
\(253\) 13.2540 36.4152i 0.833275 2.28940i
\(254\) 22.0631 + 17.5640i 1.38436 + 1.10206i
\(255\) 3.63988 + 0.0642940i 0.227938 + 0.00402624i
\(256\) −10.6685 11.9240i −0.666782 0.745253i
\(257\) 1.23320 10.5507i 0.0769251 0.658137i −0.898680 0.438605i \(-0.855473\pi\)
0.975605 0.219532i \(-0.0704530\pi\)
\(258\) −2.92118 + 10.0540i −0.181864 + 0.625932i
\(259\) 9.91559 + 6.52159i 0.616125 + 0.405232i
\(260\) 8.02555 + 0.0530240i 0.497723 + 0.00328841i
\(261\) 0.575892 0.449549i 0.0356468 0.0278264i
\(262\) −3.10466 + 11.4355i −0.191807 + 0.706489i
\(263\) −0.0459368 0.153440i −0.00283258 0.00946149i 0.956562 0.291530i \(-0.0941645\pi\)
−0.959394 + 0.282069i \(0.908979\pi\)
\(264\) 19.8765 21.1320i 1.22331 1.30058i
\(265\) −2.81888 1.41569i −0.173162 0.0869654i
\(266\) 7.68753 19.1659i 0.471353 1.17514i
\(267\) 11.9046 + 16.5946i 0.728548 + 1.01557i
\(268\) −7.01057 14.1922i −0.428239 0.866927i
\(269\) −7.08307 + 12.2682i −0.431862 + 0.748008i −0.997034 0.0769659i \(-0.975477\pi\)
0.565171 + 0.824974i \(0.308810\pi\)
\(270\) 3.75820 4.77151i 0.228717 0.290385i
\(271\) 5.62437 3.24723i 0.341656 0.197255i −0.319348 0.947638i \(-0.603464\pi\)
0.661004 + 0.750382i \(0.270131\pi\)
\(272\) 9.78196 2.78823i 0.593119 0.169062i
\(273\) −20.6541 1.56941i −1.25004 0.0949849i
\(274\) 4.76526 + 6.06774i 0.287880 + 0.366566i
\(275\) −25.5203 + 1.48639i −1.53893 + 0.0896324i
\(276\) −0.768532 22.6559i −0.0462602 1.36373i
\(277\) 6.09443 25.7144i 0.366179 1.54503i −0.408549 0.912736i \(-0.633965\pi\)
0.774728 0.632294i \(-0.217887\pi\)
\(278\) 5.83706 + 22.0756i 0.350084 + 1.32401i
\(279\) 16.6643 + 16.8734i 0.997665 + 1.01018i
\(280\) −0.558722 + 5.73144i −0.0333900 + 0.342519i
\(281\) 7.67678 + 0.447122i 0.457959 + 0.0266730i 0.285574 0.958357i \(-0.407816\pi\)
0.172385 + 0.985030i \(0.444853\pi\)
\(282\) 0.431287 + 0.212231i 0.0256828 + 0.0126382i
\(283\) 13.7098 18.4154i 0.814961 1.09468i −0.178880 0.983871i \(-0.557247\pi\)
0.993841 0.110812i \(-0.0353453\pi\)
\(284\) 0.829113 + 3.60426i 0.0491988 + 0.213873i
\(285\) −8.38229 + 1.32583i −0.496524 + 0.0785354i
\(286\) 14.8867 + 37.8360i 0.880272 + 2.23729i
\(287\) −1.75615 9.95964i −0.103662 0.587899i
\(288\) 6.16557 15.8109i 0.363310 0.931668i
\(289\) 1.82915 10.3737i 0.107597 0.610215i
\(290\) 0.278968 0.0566421i 0.0163816 0.00332614i
\(291\) −16.1175 5.13711i −0.944823 0.301143i
\(292\) 3.11026 + 2.34760i 0.182014 + 0.137383i
\(293\) 26.1442 6.19629i 1.52736 0.361991i 0.620767 0.783995i \(-0.286821\pi\)
0.906594 + 0.422003i \(0.138673\pi\)
\(294\) −0.378328 + 2.25245i −0.0220645 + 0.131366i
\(295\) 0.508842 + 4.35342i 0.0296259 + 0.253466i
\(296\) −3.39644 13.1975i −0.197414 0.767088i
\(297\) 29.5235 + 8.67198i 1.71312 + 0.503199i
\(298\) −0.0934926 + 1.02945i −0.00541588 + 0.0596342i
\(299\) 29.1725 + 12.5838i 1.68709 + 0.727740i
\(300\) −13.5222 + 6.38505i −0.780707 + 0.368641i
\(301\) 7.65816 7.22510i 0.441409 0.416448i
\(302\) −0.453343 + 13.9905i −0.0260870 + 0.805065i
\(303\) −2.48755 3.93166i −0.142906 0.225868i
\(304\) −21.3283 + 10.3609i −1.22326 + 0.594236i
\(305\) −7.53595 + 8.98099i −0.431507 + 0.514250i
\(306\) 7.32839 + 7.91760i 0.418936 + 0.452619i
\(307\) −15.5451 + 13.0439i −0.887206 + 0.744454i −0.967648 0.252305i \(-0.918811\pi\)
0.0804418 + 0.996759i \(0.474367\pi\)
\(308\) −28.0029 + 8.18231i −1.59561 + 0.466230i
\(309\) 3.89485 20.0149i 0.221570 1.13861i
\(310\) 2.87750 + 8.78084i 0.163431 + 0.498718i
\(311\) 3.33144 + 7.72315i 0.188909 + 0.437940i 0.986179 0.165683i \(-0.0529827\pi\)
−0.797270 + 0.603622i \(0.793723\pi\)
\(312\) 16.3481 + 17.2755i 0.925531 + 0.978030i
\(313\) 23.6132 11.8590i 1.33470 0.670311i 0.368867 0.929482i \(-0.379746\pi\)
0.965831 + 0.259171i \(0.0834494\pi\)
\(314\) −1.54408 18.3468i −0.0871375 1.03537i
\(315\) −5.69034 + 2.21965i −0.320614 + 0.125063i
\(316\) 15.7954 + 5.86751i 0.888559 + 0.330073i
\(317\) −9.88056 + 10.4728i −0.554947 + 0.588210i −0.942737 0.333538i \(-0.891757\pi\)
0.387789 + 0.921748i \(0.373239\pi\)
\(318\) −2.75375 8.93339i −0.154423 0.500960i
\(319\) 0.792460 + 1.20488i 0.0443692 + 0.0674601i
\(320\) 4.89863 4.44145i 0.273842 0.248285i
\(321\) 25.2391 + 6.45462i 1.40871 + 0.360262i
\(322\) −10.8853 + 20.0294i −0.606615 + 1.11620i
\(323\) 15.0741i 0.838743i
\(324\) 17.9149 1.74825i 0.995272 0.0971251i
\(325\) 20.9582i 1.16255i
\(326\) 4.79920 + 2.60821i 0.265803 + 0.144455i
\(327\) 20.7562 21.2361i 1.14782 1.17436i
\(328\) −6.19400 + 9.82279i −0.342006 + 0.542373i
\(329\) −0.265619 0.403855i −0.0146441 0.0222652i
\(330\) 8.78732 + 8.15651i 0.483726 + 0.449001i
\(331\) −7.04326 + 7.46542i −0.387132 + 0.410336i −0.891405 0.453208i \(-0.850279\pi\)
0.504272 + 0.863545i \(0.331761\pi\)
\(332\) 15.3906 + 5.71717i 0.844671 + 0.313770i
\(333\) 10.8573 9.54156i 0.594978 0.522874i
\(334\) 15.5079 1.30516i 0.848557 0.0714153i
\(335\) 5.84597 2.93596i 0.319399 0.160408i
\(336\) −13.4056 + 10.5609i −0.731336 + 0.576145i
\(337\) 2.86636 + 6.64497i 0.156141 + 0.361974i 0.978273 0.207322i \(-0.0664749\pi\)
−0.822132 + 0.569297i \(0.807216\pi\)
\(338\) −14.2062 + 4.65541i −0.772718 + 0.253221i
\(339\) −20.4517 + 7.03730i −1.11078 + 0.382214i
\(340\) 1.17898 + 4.03491i 0.0639393 + 0.218824i
\(341\) −35.8604 + 30.0905i −1.94195 + 1.62949i
\(342\) −20.0292 15.2103i −1.08306 0.822478i
\(343\) 12.5598 14.9681i 0.678163 0.808204i
\(344\) −12.0872 + 0.231844i −0.651697 + 0.0125002i
\(345\) 9.36075 0.379465i 0.503966 0.0204297i
\(346\) 28.5053 + 0.923671i 1.53245 + 0.0496569i
\(347\) −4.28347 + 4.04125i −0.229949 + 0.216945i −0.792589 0.609757i \(-0.791267\pi\)
0.562640 + 0.826702i \(0.309786\pi\)
\(348\) 0.693362 + 0.480533i 0.0371681 + 0.0257593i
\(349\) −19.5624 8.43840i −1.04715 0.451697i −0.198197 0.980162i \(-0.563509\pi\)
−0.848955 + 0.528465i \(0.822768\pi\)
\(350\) 14.9762 + 1.36012i 0.800514 + 0.0727013i
\(351\) −8.50505 + 23.7504i −0.453966 + 1.26770i
\(352\) 30.1224 + 14.6568i 1.60553 + 0.781208i
\(353\) 1.11744 + 9.56033i 0.0594755 + 0.508845i 0.989838 + 0.142203i \(0.0454186\pi\)
−0.930362 + 0.366642i \(0.880507\pi\)
\(354\) −8.26828 + 10.0179i −0.439454 + 0.532446i
\(355\) −1.48724 + 0.352483i −0.0789346 + 0.0187078i
\(356\) −14.2072 + 18.8226i −0.752978 + 0.997596i
\(357\) −2.31516 10.5993i −0.122531 0.560972i
\(358\) 3.54372 + 17.4532i 0.187291 + 0.922428i
\(359\) 6.23723 35.3731i 0.329188 1.86692i −0.149251 0.988799i \(-0.547686\pi\)
0.478439 0.878121i \(-0.341203\pi\)
\(360\) 6.55090 + 2.50483i 0.345263 + 0.132016i
\(361\) 2.80271 + 15.8950i 0.147511 + 0.836577i
\(362\) 15.9649 6.28148i 0.839098 0.330147i
\(363\) −14.9475 + 38.9152i −0.784538 + 2.04252i
\(364\) −5.36200 23.3093i −0.281045 1.22174i
\(365\) −0.961683 + 1.29176i −0.0503368 + 0.0676140i
\(366\) −34.6677 + 2.30188i −1.81211 + 0.120321i
\(367\) 24.3986 + 1.42106i 1.27360 + 0.0741787i 0.681579 0.731745i \(-0.261294\pi\)
0.592020 + 0.805924i \(0.298331\pi\)
\(368\) 24.7134 8.62688i 1.28827 0.449707i
\(369\) −12.2632 1.14998i −0.638399 0.0598658i
\(370\) 5.44475 1.43966i 0.283059 0.0748441i
\(371\) −2.16794 + 9.14727i −0.112554 + 0.474903i
\(372\) −12.8801 + 24.1657i −0.667802 + 1.25294i
\(373\) 29.4346 1.71437i 1.52407 0.0887668i 0.724471 0.689306i \(-0.242084\pi\)
0.799596 + 0.600539i \(0.205047\pi\)
\(374\) −16.7485 + 13.1533i −0.866045 + 0.680142i
\(375\) −5.77469 12.0232i −0.298204 0.620877i
\(376\) −0.0858812 + 0.548354i −0.00442898 + 0.0282792i
\(377\) −1.02392 + 0.591160i −0.0527345 + 0.0304463i
\(378\) −16.4195 7.61884i −0.844530 0.391871i
\(379\) 6.82076 11.8139i 0.350359 0.606840i −0.635953 0.771728i \(-0.719393\pi\)
0.986312 + 0.164888i \(0.0527262\pi\)
\(380\) −4.33999 8.78589i −0.222637 0.450707i
\(381\) −34.3704 + 3.40319i −1.76085 + 0.174351i
\(382\) −15.2130 6.10199i −0.778363 0.312205i
\(383\) −16.4792 8.27617i −0.842049 0.422893i −0.0251567 0.999684i \(-0.508008\pi\)
−0.816892 + 0.576791i \(0.804305\pi\)
\(384\) 19.5481 + 1.36814i 0.997560 + 0.0698177i
\(385\) −3.45790 11.5502i −0.176231 0.588653i
\(386\) −13.1383 3.56696i −0.668723 0.181554i
\(387\) −6.01519 11.3243i −0.305769 0.575648i
\(388\) 0.129052 19.5329i 0.00655161 0.991632i
\(389\) 2.98778 + 1.96510i 0.151487 + 0.0996343i 0.622989 0.782230i \(-0.285918\pi\)
−0.471503 + 0.881865i \(0.656288\pi\)
\(390\) −7.09466 + 6.80325i −0.359252 + 0.344496i
\(391\) −1.93186 + 16.5281i −0.0976982 + 0.835862i
\(392\) −2.61316 + 0.356356i −0.131984 + 0.0179987i
\(393\) −7.03320 12.6945i −0.354778 0.640351i
\(394\) 8.56875 10.7637i 0.431687 0.542266i
\(395\) −2.38170 + 6.54365i −0.119836 + 0.329247i
\(396\) 0.577246 + 35.5263i 0.0290077 + 1.78526i
\(397\) −0.185465 0.509560i −0.00930820 0.0255741i 0.934952 0.354776i \(-0.115443\pi\)
−0.944260 + 0.329201i \(0.893220\pi\)
\(398\) 9.11207 + 3.05285i 0.456747 + 0.153026i
\(399\) 9.60563 + 23.3961i 0.480883 + 1.17127i
\(400\) −11.6826 12.7153i −0.584128 0.635763i
\(401\) −17.3400 5.19125i −0.865918 0.259239i −0.177117 0.984190i \(-0.556677\pi\)
−0.688801 + 0.724951i \(0.741862\pi\)
\(402\) 18.2710 + 6.48249i 0.911272 + 0.323317i
\(403\) −22.9184 30.7847i −1.14164 1.53350i
\(404\) 3.48034 4.09249i 0.173153 0.203609i
\(405\) 0.771402 + 7.39879i 0.0383313 + 0.367649i
\(406\) −0.355981 0.770034i −0.0176670 0.0382162i
\(407\) 17.0379 + 22.8859i 0.844540 + 1.13441i
\(408\) −6.21243 + 10.7980i −0.307561 + 0.534582i
\(409\) −2.26722 + 7.57303i −0.112107 + 0.374462i −0.995568 0.0940412i \(-0.970021\pi\)
0.883462 + 0.468503i \(0.155207\pi\)
\(410\) −4.07631 2.53293i −0.201314 0.125092i
\(411\) −9.36449 1.26257i −0.461916 0.0622780i
\(412\) 23.4031 2.57882i 1.15299 0.127049i
\(413\) 12.2745 4.46756i 0.603990 0.219834i
\(414\) 20.0119 + 19.2443i 0.983532 + 0.945808i
\(415\) −2.32067 + 6.37599i −0.113917 + 0.312985i
\(416\) −13.4319 + 23.9553i −0.658553 + 1.17450i
\(417\) −23.9687 14.4087i −1.17375 0.705595i
\(418\) 33.1259 36.9766i 1.62024 1.80858i
\(419\) 1.25845 10.7667i 0.0614791 0.525987i −0.927048 0.374943i \(-0.877662\pi\)
0.988527 0.151044i \(-0.0482636\pi\)
\(420\) −4.40103 5.51120i −0.214748 0.268919i
\(421\) −5.54093 + 8.42458i −0.270049 + 0.410589i −0.944897 0.327367i \(-0.893839\pi\)
0.674849 + 0.737956i \(0.264209\pi\)
\(422\) 5.13351 10.9146i 0.249896 0.531313i
\(423\) −0.559970 + 0.181687i −0.0272267 + 0.00883392i
\(424\) 8.90314 6.10346i 0.432375 0.296410i
\(425\) 10.5161 3.14831i 0.510105 0.152715i
\(426\) −3.80451 2.45822i −0.184329 0.119101i
\(427\) 31.2227 + 15.6806i 1.51097 + 0.758839i
\(428\) 1.55064 + 30.0416i 0.0749532 + 1.45211i
\(429\) −45.3692 20.5281i −2.19044 0.991108i
\(430\) −0.128815 4.99455i −0.00621201 0.240858i
\(431\) 18.2740 31.6516i 0.880229 1.52460i 0.0291432 0.999575i \(-0.490722\pi\)
0.851086 0.525026i \(-0.175945\pi\)
\(432\) 8.07901 + 19.1502i 0.388701 + 0.921364i
\(433\) 2.77353 + 4.80389i 0.133287 + 0.230860i 0.924942 0.380109i \(-0.124113\pi\)
−0.791655 + 0.610969i \(0.790780\pi\)
\(434\) 23.4854 14.3791i 1.12734 0.690220i
\(435\) −0.196693 + 0.287852i −0.00943072 + 0.0138015i
\(436\) 30.5392 + 15.5909i 1.46256 + 0.746668i
\(437\) −2.25556 38.7264i −0.107898 1.85254i
\(438\) −4.73564 + 0.592550i −0.226278 + 0.0283131i
\(439\) −7.77464 + 32.8038i −0.371063 + 1.56564i 0.392404 + 0.919793i \(0.371644\pi\)
−0.763467 + 0.645846i \(0.776505\pi\)
\(440\) −5.97485 + 12.4885i −0.284840 + 0.595365i
\(441\) −1.59016 2.30139i −0.0757219 0.109590i
\(442\) −9.96707 14.3350i −0.474085 0.681846i
\(443\) 29.2695 + 1.70476i 1.39064 + 0.0809954i 0.737041 0.675848i \(-0.236223\pi\)
0.653596 + 0.756844i \(0.273260\pi\)
\(444\) 14.2474 + 8.69340i 0.676152 + 0.412571i
\(445\) −7.81747 5.81989i −0.370584 0.275889i
\(446\) −1.97592 0.414804i −0.0935623 0.0196415i
\(447\) −0.796513 0.984032i −0.0376738 0.0465431i
\(448\) −16.2462 11.1528i −0.767562 0.526919i
\(449\) 5.20346 0.917510i 0.245566 0.0433000i −0.0495101 0.998774i \(-0.515766\pi\)
0.295076 + 0.955474i \(0.404655\pi\)
\(450\) 6.42788 17.1497i 0.303013 0.808444i
\(451\) 4.22193 23.9438i 0.198803 1.12747i
\(452\) −14.7811 20.1307i −0.695243 0.946870i
\(453\) −11.5427 12.6758i −0.542325 0.595561i
\(454\) 24.5426 13.1288i 1.15184 0.616165i
\(455\) 9.61821 2.27956i 0.450909 0.106867i
\(456\) 9.89111 27.3044i 0.463194 1.27865i
\(457\) 37.6024 4.39509i 1.75897 0.205594i 0.825536 0.564349i \(-0.190873\pi\)
0.933432 + 0.358755i \(0.116799\pi\)
\(458\) 9.26565 13.1401i 0.432955 0.613997i
\(459\) −13.1947 0.699788i −0.615877 0.0326633i
\(460\) 3.63264 + 10.1896i 0.169373 + 0.475091i
\(461\) 0.691065 1.60207i 0.0321861 0.0746158i −0.901365 0.433061i \(-0.857434\pi\)
0.933551 + 0.358445i \(0.116693\pi\)
\(462\) 17.6133 31.0876i 0.819444 1.44633i
\(463\) 2.84573 2.68481i 0.132252 0.124774i −0.617274 0.786748i \(-0.711763\pi\)
0.749526 + 0.661975i \(0.230281\pi\)
\(464\) −0.291683 + 0.929411i −0.0135410 + 0.0431468i
\(465\) −10.0220 5.25688i −0.464758 0.243782i
\(466\) 5.28596 4.67291i 0.244868 0.216468i
\(467\) −10.9791 + 13.0844i −0.508051 + 0.605472i −0.957712 0.287727i \(-0.907100\pi\)
0.449661 + 0.893199i \(0.351545\pi\)
\(468\) −29.1044 1.22108i −1.34535 0.0564445i
\(469\) −12.5316 14.9346i −0.578655 0.689615i
\(470\) −0.226849 0.0339943i −0.0104638 0.00156804i
\(471\) 17.0153 + 14.7974i 0.784022 + 0.681827i
\(472\) −13.8835 5.67552i −0.639042 0.261237i
\(473\) 23.2413 10.0253i 1.06864 0.460965i
\(474\) −18.8821 + 8.32752i −0.867284 + 0.382496i
\(475\) −22.8679 + 11.4847i −1.04925 + 0.526953i
\(476\) 10.8903 6.19195i 0.499156 0.283808i
\(477\) 10.0435 + 5.49650i 0.459859 + 0.251667i
\(478\) −24.2856 + 24.1257i −1.11080 + 1.10348i
\(479\) −19.9409 + 21.1361i −0.911122 + 0.965733i −0.999539 0.0303505i \(-0.990338\pi\)
0.0884172 + 0.996084i \(0.471819\pi\)
\(480\) −0.512028 + 8.08224i −0.0233708 + 0.368902i
\(481\) −19.5434 + 12.8539i −0.891103 + 0.586087i
\(482\) 5.26573 + 36.7961i 0.239847 + 1.67601i
\(483\) −7.53379 26.8839i −0.342800 1.22326i
\(484\) −48.0352 3.11629i −2.18342 0.141650i
\(485\) 8.07256 0.366556
\(486\) −14.2438 + 16.8260i −0.646111 + 0.763243i
\(487\) 21.4885i 0.973738i 0.873475 + 0.486869i \(0.161861\pi\)
−0.873475 + 0.486869i \(0.838139\pi\)
\(488\) −14.4420 37.4294i −0.653756 1.69435i
\(489\) −6.44159 + 1.80516i −0.291299 + 0.0816320i
\(490\) −0.154404 1.07895i −0.00697524 0.0487418i
\(491\) −3.14856 4.78716i −0.142093 0.216042i 0.757429 0.652918i \(-0.226455\pi\)
−0.899522 + 0.436876i \(0.856085\pi\)
\(492\) −2.94314 13.9146i −0.132687 0.627320i
\(493\) −0.450435 0.424964i −0.0202866 0.0191394i
\(494\) 28.6848 + 28.8749i 1.29059 + 1.29914i
\(495\) −14.6801 + 0.335555i −0.659822 + 0.0150821i
\(496\) −31.0646 5.90178i −1.39484 0.264998i
\(497\) 2.04429 + 4.07051i 0.0916988 + 0.182587i
\(498\) −18.3983 + 8.11415i −0.824447 + 0.363604i
\(499\) −0.194965 0.451979i −0.00872783 0.0202334i 0.913796 0.406172i \(-0.133137\pi\)
−0.922524 + 0.385939i \(0.873878\pi\)
\(500\) 11.2722 10.4949i 0.504110 0.469347i
\(501\) −12.5078 + 14.3825i −0.558806 + 0.642562i
\(502\) 4.55431 30.3916i 0.203269 1.35644i
\(503\) −20.4755 + 17.1810i −0.912956 + 0.766061i −0.972679 0.232154i \(-0.925423\pi\)
0.0597229 + 0.998215i \(0.480978\pi\)
\(504\) 2.76134 20.7181i 0.123000 0.922857i
\(505\) 1.70077 + 1.42712i 0.0756834 + 0.0635060i
\(506\) −41.0600 + 36.2980i −1.82534 + 1.61364i
\(507\) 8.50495 16.2142i 0.377718 0.720099i
\(508\) −15.5540 36.7235i −0.690098 1.62934i
\(509\) −6.94988 7.36644i −0.308048 0.326512i 0.554792 0.831989i \(-0.312798\pi\)
−0.862840 + 0.505477i \(0.831316\pi\)
\(510\) −4.47938 2.53788i −0.198350 0.112379i
\(511\) 4.40685 + 1.90093i 0.194948 + 0.0840922i
\(512\) 5.20411 + 22.0208i 0.229991 + 0.973193i
\(513\) 30.5751 3.73473i 1.34992 0.164892i
\(514\) −8.65719 + 12.2772i −0.381852 + 0.541526i
\(515\) 1.12963 + 9.66460i 0.0497774 + 0.425873i
\(516\) 10.4191 10.5201i 0.458677 0.463120i
\(517\) −0.267993 1.13075i −0.0117863 0.0497304i
\(518\) −7.91681 14.7995i −0.347845 0.650251i
\(519\) −25.8265 + 23.5180i −1.13366 + 1.03232i
\(520\) −9.93649 5.48550i −0.435744 0.240555i
\(521\) −22.7468 4.01088i −0.996557 0.175720i −0.348497 0.937310i \(-0.613308\pi\)
−0.648059 + 0.761590i \(0.724419\pi\)
\(522\) −1.01916 + 0.169699i −0.0446076 + 0.00742753i
\(523\) 1.92838 + 10.9364i 0.0843223 + 0.478215i 0.997501 + 0.0706555i \(0.0225091\pi\)
−0.913179 + 0.407560i \(0.866380\pi\)
\(524\) 11.5801 12.1129i 0.505879 0.529153i
\(525\) −14.3156 + 11.5876i −0.624782 + 0.505723i
\(526\) −0.0465373 + 0.221680i −0.00202912 + 0.00966571i
\(527\) 12.0039 16.1241i 0.522899 0.702376i
\(528\) −38.9682 + 12.8354i −1.69587 + 0.558590i
\(529\) −1.15263 + 19.7899i −0.0501144 + 0.860430i
\(530\) 2.54664 + 3.66267i 0.110619 + 0.159096i
\(531\) −1.28769 15.8564i −0.0558810 0.688111i
\(532\) −22.4949 + 18.6236i −0.975278 + 0.807436i
\(533\) 19.3958 + 4.59688i 0.840123 + 0.199113i
\(534\) −3.58598 28.6591i −0.155181 1.24020i
\(535\) −12.4108 + 0.722848i −0.536567 + 0.0312514i
\(536\) −0.872812 + 22.3690i −0.0376997 + 0.966194i
\(537\) −18.0090 12.3058i −0.777146 0.531033i
\(538\) 17.0859 10.4610i 0.736625 0.451004i
\(539\) 4.78198 2.76088i 0.205975 0.118919i
\(540\) −7.89200 + 3.39104i −0.339618 + 0.145927i
\(541\) 19.9524 + 11.5195i 0.857822 + 0.495264i 0.863282 0.504722i \(-0.168405\pi\)
−0.00546053 + 0.999985i \(0.501738\pi\)
\(542\) −9.18151 + 0.236802i −0.394380 + 0.0101715i
\(543\) −8.66187 + 19.1436i −0.371716 + 0.821528i
\(544\) −14.0376 3.14113i −0.601859 0.134675i
\(545\) −6.35975 + 12.6633i −0.272422 + 0.542436i
\(546\) 24.6043 + 15.8977i 1.05297 + 0.680359i
\(547\) −10.0847 33.6852i −0.431190 1.44027i −0.847375 0.530994i \(-0.821819\pi\)
0.416186 0.909280i \(-0.363367\pi\)
\(548\) −1.82365 10.7575i −0.0779023 0.459539i
\(549\) 28.4864 31.6109i 1.21577 1.34912i
\(550\) 32.7144 + 15.3868i 1.39495 + 0.656094i
\(551\) 1.20611 + 0.793274i 0.0513822 + 0.0337946i
\(552\) −14.3445 + 28.6705i −0.610541 + 1.22030i
\(553\) 20.6124 + 2.40925i 0.876530 + 0.102452i
\(554\) −24.9376 + 27.8364i −1.05950 + 1.18266i
\(555\) −3.55376 + 5.91165i −0.150849 + 0.250936i
\(556\) 7.65462 31.3722i 0.324628 1.33048i
\(557\) −17.8063 6.48097i −0.754478 0.274608i −0.0639895 0.997951i \(-0.520382\pi\)
−0.690489 + 0.723343i \(0.742605\pi\)
\(558\) −9.31201 32.2197i −0.394209 1.36397i
\(559\) 7.09741 + 19.5000i 0.300189 + 0.824762i
\(560\) 4.56466 6.74441i 0.192892 0.285003i
\(561\) 3.48502 25.8484i 0.147138 1.09132i
\(562\) −9.23699 5.73967i −0.389639 0.242113i
\(563\) 21.4665 + 6.42665i 0.904706 + 0.270851i 0.705169 0.709039i \(-0.250871\pi\)
0.199537 + 0.979890i \(0.436056\pi\)
\(564\) −0.392586 0.554958i −0.0165308 0.0233679i
\(565\) 8.27892 6.16343i 0.348297 0.259297i
\(566\) −29.4712 + 13.6243i −1.23877 + 0.572672i
\(567\) 20.9251 7.32194i 0.878773 0.307493i
\(568\) 1.40371 5.03843i 0.0588982 0.211408i
\(569\) 20.2281 15.0592i 0.848005 0.631316i −0.0829083 0.996557i \(-0.526421\pi\)
0.930913 + 0.365241i \(0.119013\pi\)
\(570\) 11.3109 + 4.01308i 0.473761 + 0.168089i
\(571\) −9.69476 + 32.3828i −0.405713 + 1.35518i 0.474357 + 0.880333i \(0.342681\pi\)
−0.880070 + 0.474844i \(0.842505\pi\)
\(572\) 7.05263 57.0667i 0.294885 2.38608i
\(573\) 18.5707 7.62449i 0.775801 0.318518i
\(574\) −4.54355 + 13.5615i −0.189644 + 0.566044i
\(575\) 26.5455 9.66178i 1.10702 0.402924i
\(576\) −18.3382 + 15.4826i −0.764091 + 0.645108i
\(577\) −10.0880 3.67172i −0.419967 0.152856i 0.123388 0.992359i \(-0.460624\pi\)
−0.543355 + 0.839503i \(0.682846\pi\)
\(578\) −9.27812 + 11.6548i −0.385919 + 0.484774i
\(579\) 14.5847 8.08047i 0.606121 0.335813i
\(580\) −0.384887 0.118004i −0.0159816 0.00489985i
\(581\) 20.0843 + 2.34752i 0.833237 + 0.0973914i
\(582\) 16.5580 + 17.2673i 0.686351 + 0.715751i
\(583\) −12.4189 + 18.8820i −0.514338 + 0.782012i
\(584\) −2.27939 5.01739i −0.0943218 0.207621i
\(585\) 0.425161 12.0311i 0.0175782 0.497424i
\(586\) −36.6703 9.95573i −1.51484 0.411267i
\(587\) −24.2779 + 7.26831i −1.00205 + 0.299995i −0.745479 0.666529i \(-0.767779\pi\)
−0.256575 + 0.966524i \(0.582594\pi\)
\(588\) 1.99117 2.54335i 0.0821144 0.104886i
\(589\) −21.0310 + 41.8761i −0.866566 + 1.72547i
\(590\) 2.30757 5.75304i 0.0950012 0.236849i
\(591\) 1.66028 + 16.7679i 0.0682947 + 0.689741i
\(592\) −4.69187 + 18.6924i −0.192835 + 0.768251i
\(593\) −2.40890 1.39078i −0.0989215 0.0571123i 0.449723 0.893168i \(-0.351523\pi\)
−0.548645 + 0.836056i \(0.684856\pi\)
\(594\) −30.8288 30.7126i −1.26492 1.26015i
\(595\) 2.58864 + 4.48365i 0.106124 + 0.183812i
\(596\) 0.811351 1.21602i 0.0332342 0.0498102i
\(597\) −10.6094 + 5.09563i −0.434213 + 0.208550i
\(598\) −27.7511 35.3363i −1.13483 1.44501i
\(599\) 1.11931 + 19.2178i 0.0457338 + 0.785219i 0.940732 + 0.339150i \(0.110139\pi\)
−0.894999 + 0.446069i \(0.852824\pi\)
\(600\) 21.1141 + 1.19763i 0.861980 + 0.0488929i
\(601\) 11.2535 + 2.66714i 0.459041 + 0.108795i 0.453629 0.891191i \(-0.350129\pi\)
0.00541204 + 0.999985i \(0.498277\pi\)
\(602\) −14.3949 + 3.80617i −0.586691 + 0.155128i
\(603\) −21.5815 + 9.90026i −0.878866 + 0.403170i
\(604\) 10.0110 17.0781i 0.407344 0.694897i
\(605\) 1.15669 19.8597i 0.0470263 0.807410i
\(606\) 0.435919 + 6.56519i 0.0177080 + 0.266693i
\(607\) −21.7519 16.1937i −0.882884 0.657283i 0.0571492 0.998366i \(-0.481799\pi\)
−0.940033 + 0.341083i \(0.889206\pi\)
\(608\) 33.4985 + 1.52879i 1.35854 + 0.0620004i
\(609\) 0.969909 + 0.372545i 0.0393027 + 0.0150963i
\(610\) 15.4288 6.07052i 0.624692 0.245788i
\(611\) 0.938249 0.165439i 0.0379575 0.00669293i
\(612\) −3.75932 14.7870i −0.151962 0.597728i
\(613\) 12.7711 + 2.25189i 0.515820 + 0.0909530i 0.425498 0.904960i \(-0.360099\pi\)
0.0903226 + 0.995913i \(0.471210\pi\)
\(614\) 28.1243 5.71041i 1.13501 0.230453i
\(615\) 5.74237 1.25428i 0.231555 0.0505776i
\(616\) 40.3210 + 8.74310i 1.62458 + 0.352270i
\(617\) 5.38304 + 22.7128i 0.216713 + 0.914385i 0.967304 + 0.253618i \(0.0816206\pi\)
−0.750591 + 0.660767i \(0.770231\pi\)
\(618\) −18.3556 + 22.2398i −0.738370 + 0.894615i
\(619\) 29.7478 3.47702i 1.19566 0.139753i 0.505124 0.863047i \(-0.331447\pi\)
0.690541 + 0.723294i \(0.257373\pi\)
\(620\) 2.35417 12.8540i 0.0945456 0.516227i
\(621\) −34.0030 + 0.176541i −1.36449 + 0.00708433i
\(622\) 1.07586 11.8463i 0.0431379 0.474992i
\(623\) −11.5040 + 26.6693i −0.460898 + 1.06848i
\(624\) −8.64767 32.5058i −0.346184 1.30127i
\(625\) −10.4440 11.0700i −0.417760 0.442799i
\(626\) −37.3494 1.21025i −1.49278 0.0483714i
\(627\) 2.46277 + 60.7522i 0.0983534 + 2.42621i
\(628\) −10.4708 + 23.8398i −0.417832 + 0.951312i
\(629\) −9.38543 7.87531i −0.374221 0.314009i
\(630\) 8.56955 + 1.08459i 0.341419 + 0.0432111i
\(631\) −1.21490 1.44787i −0.0483646 0.0576387i 0.741320 0.671152i \(-0.234200\pi\)
−0.789684 + 0.613513i \(0.789756\pi\)
\(632\) −15.6645 17.9573i −0.623101 0.714303i
\(633\) 4.80648 + 13.9685i 0.191041 + 0.555198i
\(634\) 19.3495 6.34086i 0.768466 0.251828i
\(635\) 15.1340 6.52817i 0.600574 0.259062i
\(636\) −2.61095 + 12.9599i −0.103531 + 0.513895i
\(637\) 2.03171 + 4.04547i 0.0804994 + 0.160287i
\(638\) −0.171039 2.03229i −0.00677150 0.0804589i
\(639\) 5.43987 1.08792i 0.215198 0.0430376i
\(640\) −9.08618 + 2.21079i −0.359163 + 0.0873891i
\(641\) −6.80724 6.42230i −0.268870 0.253666i 0.539984 0.841675i \(-0.318430\pi\)
−0.808854 + 0.588010i \(0.799912\pi\)
\(642\) −27.0026 25.0641i −1.06571 0.989203i
\(643\) 11.7398 7.72141i 0.462974 0.304503i −0.296509 0.955030i \(-0.595822\pi\)
0.759483 + 0.650527i \(0.225452\pi\)
\(644\) 27.0515 17.5371i 1.06598 0.691059i
\(645\) 4.37600 + 4.27712i 0.172305 + 0.168411i
\(646\) −10.1794 + 18.7306i −0.400505 + 0.736944i
\(647\) 4.52954 0.178074 0.0890372 0.996028i \(-0.471621\pi\)
0.0890372 + 0.996028i \(0.471621\pi\)
\(648\) −23.4411 9.92551i −0.920853 0.389911i
\(649\) 31.4027 1.23267
\(650\) −14.1529 + 26.0420i −0.555124 + 1.02145i
\(651\) −8.35627 + 32.6750i −0.327508 + 1.28064i
\(652\) −4.20203 6.48175i −0.164564 0.253845i
\(653\) 3.19969 2.10447i 0.125213 0.0823541i −0.485357 0.874316i \(-0.661310\pi\)
0.610571 + 0.791962i \(0.290940\pi\)
\(654\) −40.1316 + 12.3707i −1.56927 + 0.483733i
\(655\) 5.03741 + 4.75255i 0.196828 + 0.185698i
\(656\) 14.3298 8.02272i 0.559483 0.313235i
\(657\) 3.65390 4.56236i 0.142552 0.177994i
\(658\) 0.0573295 + 0.681189i 0.00223494 + 0.0265555i
\(659\) −19.0994 38.0300i −0.744006 1.48144i −0.871918 0.489653i \(-0.837124\pi\)
0.127911 0.991786i \(-0.459173\pi\)
\(660\) −5.41080 16.0691i −0.210615 0.625487i
\(661\) −6.31960 + 2.72601i −0.245804 + 0.106030i −0.515418 0.856939i \(-0.672363\pi\)
0.269614 + 0.962969i \(0.413104\pi\)
\(662\) 13.7931 4.52002i 0.536084 0.175676i
\(663\) 20.9897 + 4.08453i 0.815173 + 0.158630i
\(664\) −15.2632 17.4972i −0.592325 0.679023i
\(665\) −7.75786 9.24546i −0.300837 0.358524i
\(666\) −19.9343 + 4.52415i −0.772440 + 0.175307i
\(667\) −1.22079 1.02436i −0.0472692 0.0396636i
\(668\) −20.1511 8.85068i −0.779668 0.342443i
\(669\) 2.08962 1.32210i 0.0807895 0.0511152i
\(670\) −9.24665 0.299624i −0.357229 0.0115755i
\(671\) 57.6418 + 61.0968i 2.22524 + 2.35861i
\(672\) 23.7891 4.06992i 0.917685 0.157000i
\(673\) −3.02270 + 7.00741i −0.116517 + 0.270116i −0.966487 0.256714i \(-0.917360\pi\)
0.849971 + 0.526830i \(0.176619\pi\)
\(674\) 0.925663 10.1925i 0.0356552 0.392599i
\(675\) 8.99123 + 20.5500i 0.346073 + 0.790970i
\(676\) 20.7960 + 3.80873i 0.799847 + 0.146490i
\(677\) −47.2276 + 5.52011i −1.81510 + 0.212155i −0.954723 0.297497i \(-0.903848\pi\)
−0.860380 + 0.509652i \(0.829774\pi\)
\(678\) 30.1649 + 5.06657i 1.15847 + 0.194581i
\(679\) −5.54807 23.4092i −0.212915 0.898361i
\(680\) 1.25979 5.80981i 0.0483106 0.222796i
\(681\) −10.3521 + 32.4791i −0.396691 + 1.24460i
\(682\) 64.8789 13.1731i 2.48434 0.504425i
\(683\) 35.5840 + 6.27441i 1.36158 + 0.240084i 0.806265 0.591555i \(-0.201486\pi\)
0.555318 + 0.831638i \(0.312597\pi\)
\(684\) 14.6163 + 32.4255i 0.558868 + 1.23982i
\(685\) 4.44071 0.783017i 0.169671 0.0299175i
\(686\) −25.7143 + 10.1174i −0.981775 + 0.386284i
\(687\) 3.07644 + 19.4501i 0.117373 + 0.742069i
\(688\) 15.1757 + 7.87433i 0.578569 + 0.300206i
\(689\) −14.8621 11.0645i −0.566203 0.421522i
\(690\) −11.8876 5.84975i −0.452554 0.222696i
\(691\) −1.28298 + 22.0280i −0.0488070 + 0.837984i 0.881723 + 0.471768i \(0.156384\pi\)
−0.930530 + 0.366216i \(0.880653\pi\)
\(692\) −34.7960 20.3972i −1.32274 0.775384i
\(693\) 11.0623 + 42.3394i 0.420223 + 1.60834i
\(694\) 8.05154 2.12892i 0.305632 0.0808128i
\(695\) 12.9859 + 3.07771i 0.492582 + 0.116744i
\(696\) −0.537048 1.06532i −0.0203568 0.0403808i
\(697\) 0.607050 + 10.4227i 0.0229937 + 0.394786i
\(698\) 18.6092 + 23.6957i 0.704370 + 0.896895i
\(699\) −0.654699 + 8.61612i −0.0247630 + 0.325892i
\(700\) −17.6905 11.8034i −0.668639 0.446127i
\(701\) −4.76420 8.25183i −0.179941 0.311667i 0.761919 0.647672i \(-0.224257\pi\)
−0.941860 + 0.336005i \(0.890924\pi\)
\(702\) 26.6066 23.7681i 1.00420 0.897067i
\(703\) 24.7346 + 14.2805i 0.932881 + 0.538599i
\(704\) −27.5315 38.5535i −1.03763 1.45304i
\(705\) 0.228271 0.163756i 0.00859720 0.00616741i
\(706\) 5.06754 12.6340i 0.190719 0.475486i
\(707\) 2.96952 5.91280i 0.111680 0.222374i
\(708\) 17.0390 6.86442i 0.640363 0.257981i
\(709\) −19.2111 + 5.75142i −0.721487 + 0.215999i −0.626436 0.779473i \(-0.715487\pi\)
−0.0950518 + 0.995472i \(0.530302\pi\)
\(710\) 2.08603 + 0.566342i 0.0782873 + 0.0212544i
\(711\) 9.47794 23.4306i 0.355450 0.878715i
\(712\) 30.3642 13.7944i 1.13795 0.516966i
\(713\) 28.4263 43.2201i 1.06457 1.61861i
\(714\) −4.28088 + 14.7337i −0.160208 + 0.551396i
\(715\) 23.6028 + 2.75877i 0.882695 + 0.103172i
\(716\) 7.38272 24.0798i 0.275905 0.899905i
\(717\) 0.740448 41.9191i 0.0276525 1.56550i
\(718\) −31.6374 + 39.7415i −1.18070 + 1.48314i
\(719\) 4.48698 + 1.63313i 0.167336 + 0.0609053i 0.424330 0.905508i \(-0.360510\pi\)
−0.256994 + 0.966413i \(0.582732\pi\)
\(720\) −6.44845 7.53621i −0.240320 0.280858i
\(721\) 27.2494 9.91799i 1.01482 0.369365i
\(722\) 7.25122 21.6432i 0.269862 0.805478i
\(723\) −36.0308 27.8263i −1.34000 1.03487i
\(724\) −24.0794 2.97586i −0.894902 0.110597i
\(725\) −0.301505 + 1.00710i −0.0111976 + 0.0374027i
\(726\) 44.8524 38.2608i 1.66463 1.41999i
\(727\) 7.85508 5.84789i 0.291329 0.216886i −0.441565 0.897229i \(-0.645577\pi\)
0.732894 + 0.680343i \(0.238169\pi\)
\(728\) −9.07797 + 32.5843i −0.336452 + 1.20765i
\(729\) −1.84971 26.9366i −0.0685077 0.997651i
\(730\) 2.06728 0.955686i 0.0765134 0.0353715i
\(731\) −8.71825 + 6.49050i −0.322456 + 0.240060i
\(732\) 44.6315 + 20.5507i 1.64963 + 0.759575i
\(733\) 3.41985 + 1.02384i 0.126315 + 0.0378163i 0.349337 0.936997i \(-0.386407\pi\)
−0.223022 + 0.974813i \(0.571592\pi\)
\(734\) −29.3573 18.2420i −1.08360 0.673326i
\(735\) 1.05651 + 0.815931i 0.0389698 + 0.0300961i
\(736\) −36.5338 5.96934i −1.34665 0.220033i
\(737\) −16.0302 44.0427i −0.590481 1.62233i
\(738\) 14.4613 + 9.71023i 0.532329 + 0.357439i
\(739\) −19.8149 7.21204i −0.728903 0.265299i −0.0492027 0.998789i \(-0.515668\pi\)
−0.679701 + 0.733490i \(0.737890\pi\)
\(740\) −7.73767 1.88794i −0.284442 0.0694020i
\(741\) −49.8406 0.880373i −1.83094 0.0323413i
\(742\) 8.87093 9.90212i 0.325662 0.363518i
\(743\) −33.6457 3.93262i −1.23434 0.144274i −0.526211 0.850354i \(-0.676388\pi\)
−0.708132 + 0.706080i \(0.750462\pi\)
\(744\) 32.3234 21.3297i 1.18503 0.781986i
\(745\) 0.504752 + 0.331981i 0.0184927 + 0.0121628i
\(746\) −37.7322 17.7468i −1.38148 0.649757i
\(747\) 9.23508 22.8302i 0.337894 0.835314i
\(748\) 29.6935 5.03373i 1.08570 0.184051i
\(749\) 10.6258 + 35.4926i 0.388258 + 1.29687i
\(750\) −0.943774 + 18.8393i −0.0344617 + 0.687914i
\(751\) −7.23853 + 14.4131i −0.264138 + 0.525941i −0.986133 0.165957i \(-0.946929\pi\)
0.721996 + 0.691898i \(0.243225\pi\)
\(752\) 0.477014 0.623372i 0.0173949 0.0227321i
\(753\) 21.9389 + 30.5822i 0.799498 + 1.11448i
\(754\) 1.67150 0.0431098i 0.0608723 0.00156997i
\(755\) 7.08506 + 4.09056i 0.257852 + 0.148871i
\(756\) 15.2574 + 20.5550i 0.554908 + 0.747577i
\(757\) −13.9956 + 8.08037i −0.508679 + 0.293686i −0.732291 0.680992i \(-0.761549\pi\)
0.223611 + 0.974678i \(0.428215\pi\)
\(758\) −16.4531 + 10.0736i −0.597605 + 0.365888i
\(759\) 5.08554 66.9279i 0.184593 2.42933i
\(760\) −0.540326 + 13.8478i −0.0195997 + 0.502314i
\(761\) 27.5013 1.60177i 0.996920 0.0580640i 0.448082 0.893992i \(-0.352107\pi\)
0.548838 + 0.835928i \(0.315070\pi\)
\(762\) 45.0058 + 18.9815i 1.63039 + 0.687626i
\(763\) 41.0924 + 9.73909i 1.48765 + 0.352579i
\(764\) 14.7825 + 17.8554i 0.534813 + 0.645985i
\(765\) 6.10064 1.59396i 0.220569 0.0576298i
\(766\) 14.8877 + 21.4120i 0.537915 + 0.773648i
\(767\) −1.49696 + 25.7019i −0.0540522 + 0.928041i
\(768\) −23.3660 14.9007i −0.843146 0.537684i
\(769\) 8.57170 11.5138i 0.309103 0.415198i −0.620241 0.784411i \(-0.712965\pi\)
0.929345 + 0.369213i \(0.120373\pi\)
\(770\) −3.50311 + 16.6870i −0.126243 + 0.601358i
\(771\) −2.87442 18.1729i −0.103520 0.654481i
\(772\) 13.9165 + 13.3044i 0.500867 + 0.478837i
\(773\) 1.50389