Properties

Label 144.2.x.e.85.3
Level $144$
Weight $2$
Character 144.85
Analytic conductor $1.150$
Analytic rank $0$
Dimension $72$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 144 = 2^{4} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 144.x (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.14984578911\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(18\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 85.3
Character \(\chi\) \(=\) 144.85
Dual form 144.2.x.e.61.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.35510 - 0.404605i) q^{2} +(1.51206 + 0.844796i) q^{3} +(1.67259 + 1.09656i) q^{4} +(3.32531 - 0.891015i) q^{5} +(-1.70718 - 1.75657i) q^{6} +(-3.95817 + 2.28525i) q^{7} +(-1.82285 - 2.16269i) q^{8} +(1.57264 + 2.55476i) q^{9} +O(q^{10})\) \(q+(-1.35510 - 0.404605i) q^{2} +(1.51206 + 0.844796i) q^{3} +(1.67259 + 1.09656i) q^{4} +(3.32531 - 0.891015i) q^{5} +(-1.70718 - 1.75657i) q^{6} +(-3.95817 + 2.28525i) q^{7} +(-1.82285 - 2.16269i) q^{8} +(1.57264 + 2.55476i) q^{9} +(-4.86664 - 0.138025i) q^{10} +(0.568165 - 2.12042i) q^{11} +(1.60268 + 3.07106i) q^{12} +(0.0174070 + 0.0649637i) q^{13} +(6.28833 - 1.49524i) q^{14} +(5.78079 + 1.46195i) q^{15} +(1.59511 + 3.66819i) q^{16} -0.00952807 q^{17} +(-1.09741 - 4.09825i) q^{18} +(2.79059 - 2.79059i) q^{19} +(6.53893 + 2.15611i) q^{20} +(-7.91555 + 0.111584i) q^{21} +(-1.62785 + 2.64350i) q^{22} +(-4.81949 - 2.78254i) q^{23} +(-0.929225 - 4.81005i) q^{24} +(5.93367 - 3.42580i) q^{25} +(0.00269648 - 0.0950753i) q^{26} +(0.219668 + 5.19151i) q^{27} +(-9.12630 - 0.518089i) q^{28} +(-1.28304 - 0.343789i) q^{29} +(-7.24204 - 4.32002i) q^{30} +(-1.30392 + 2.25846i) q^{31} +(-0.677361 - 5.61615i) q^{32} +(2.65042 - 2.72622i) q^{33} +(0.0129115 + 0.00385511i) q^{34} +(-11.1260 + 11.1260i) q^{35} +(-0.171073 + 5.99756i) q^{36} +(-3.32550 - 3.32550i) q^{37} +(-4.91061 + 2.65244i) q^{38} +(-0.0285607 + 0.112934i) q^{39} +(-7.98853 - 5.56742i) q^{40} +(-4.34209 - 2.50691i) q^{41} +(10.7715 + 3.05146i) q^{42} +(-0.718661 + 2.68208i) q^{43} +(3.27548 - 2.92357i) q^{44} +(7.50585 + 7.09414i) q^{45} +(5.40507 + 5.72061i) q^{46} +(-2.77988 - 4.81489i) q^{47} +(-0.686977 + 6.89406i) q^{48} +(6.94473 - 12.0286i) q^{49} +(-9.42681 + 2.24151i) q^{50} +(-0.0144070 - 0.00804928i) q^{51} +(-0.0421220 + 0.127745i) q^{52} +(1.80067 + 1.80067i) q^{53} +(1.80284 - 7.12389i) q^{54} -7.55731i q^{55} +(12.1574 + 4.39461i) q^{56} +(6.57701 - 1.86205i) q^{57} +(1.59955 + 0.984992i) q^{58} +(0.221086 - 0.0592399i) q^{59} +(8.06578 + 8.78422i) q^{60} +(-10.8847 - 2.91654i) q^{61} +(2.68073 - 2.53286i) q^{62} +(-12.0630 - 6.51830i) q^{63} +(-1.35443 + 7.88451i) q^{64} +(0.115767 + 0.200515i) q^{65} +(-4.69463 + 2.62192i) q^{66} +(1.19332 + 4.45355i) q^{67} +(-0.0159365 - 0.0104481i) q^{68} +(-4.93668 - 8.27885i) q^{69} +(19.5784 - 10.5752i) q^{70} -7.21697i q^{71} +(2.65847 - 8.05807i) q^{72} +6.99151i q^{73} +(3.16086 + 5.85189i) q^{74} +(11.8662 - 0.167276i) q^{75} +(7.72756 - 1.60746i) q^{76} +(2.59680 + 9.69138i) q^{77} +(0.0843965 - 0.141481i) q^{78} +(6.86643 + 11.8930i) q^{79} +(8.57265 + 10.7766i) q^{80} +(-4.05361 + 8.03543i) q^{81} +(4.86966 + 5.15395i) q^{82} +(11.8706 + 3.18073i) q^{83} +(-13.3618 - 8.49325i) q^{84} +(-0.0316838 + 0.00848965i) q^{85} +(2.05904 - 3.34371i) q^{86} +(-1.64960 - 1.60373i) q^{87} +(-5.62149 + 2.63645i) q^{88} +2.28107i q^{89} +(-7.30084 - 12.6502i) q^{90} +(-0.217358 - 0.217358i) q^{91} +(-5.00981 - 9.93891i) q^{92} +(-3.87954 + 2.31337i) q^{93} +(1.81888 + 7.64941i) q^{94} +(6.79313 - 11.7660i) q^{95} +(3.72030 - 9.06418i) q^{96} +(-4.69078 - 8.12466i) q^{97} +(-14.2776 + 13.4901i) q^{98} +(6.31069 - 1.88313i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72q + 4q^{2} + 2q^{3} - 2q^{4} + 4q^{5} - 28q^{6} - 8q^{8} + O(q^{10}) \) \( 72q + 4q^{2} + 2q^{3} - 2q^{4} + 4q^{5} - 28q^{6} - 8q^{8} - 20q^{10} - 2q^{11} + 8q^{12} - 16q^{13} - 4q^{14} - 20q^{15} - 10q^{16} - 16q^{17} + 28q^{19} + 12q^{20} - 16q^{21} - 8q^{22} - 40q^{24} - 4q^{26} + 8q^{27} - 16q^{28} + 4q^{29} + 18q^{30} + 28q^{31} - 46q^{32} - 32q^{33} - 14q^{34} - 16q^{35} + 14q^{36} + 16q^{37} + 2q^{38} - 10q^{40} + 26q^{42} - 10q^{43} + 60q^{44} + 40q^{45} + 20q^{46} - 56q^{47} + 2q^{48} + 4q^{49} - 36q^{50} - 54q^{51} + 6q^{52} - 8q^{53} + 92q^{54} + 52q^{56} - 14q^{58} - 14q^{59} + 18q^{60} - 32q^{61} + 16q^{62} - 108q^{63} - 44q^{64} - 64q^{65} + 26q^{66} - 18q^{67} + 16q^{68} + 32q^{69} + 14q^{70} + 114q^{72} + 38q^{74} + 86q^{75} + 10q^{76} - 36q^{77} + 16q^{78} + 44q^{79} + 144q^{80} - 44q^{81} - 88q^{82} + 20q^{83} - 58q^{84} - 8q^{85} + 76q^{86} - 42q^{88} - 80q^{91} - 68q^{92} - 4q^{93} + 20q^{94} + 48q^{95} + 94q^{96} + 40q^{97} + 88q^{98} + 28q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{1}{3}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.35510 0.404605i −0.958200 0.286099i
\(3\) 1.51206 + 0.844796i 0.872987 + 0.487743i
\(4\) 1.67259 + 1.09656i 0.836295 + 0.548280i
\(5\) 3.32531 0.891015i 1.48712 0.398474i 0.578360 0.815782i \(-0.303693\pi\)
0.908765 + 0.417308i \(0.137026\pi\)
\(6\) −1.70718 1.75657i −0.696953 0.717117i
\(7\) −3.95817 + 2.28525i −1.49605 + 0.863743i −0.999990 0.00454705i \(-0.998553\pi\)
−0.496057 + 0.868290i \(0.665219\pi\)
\(8\) −1.82285 2.16269i −0.644475 0.764625i
\(9\) 1.57264 + 2.55476i 0.524213 + 0.851587i
\(10\) −4.86664 0.138025i −1.53897 0.0436474i
\(11\) 0.568165 2.12042i 0.171308 0.639331i −0.825843 0.563900i \(-0.809300\pi\)
0.997151 0.0754306i \(-0.0240331\pi\)
\(12\) 1.60268 + 3.07106i 0.462654 + 0.886539i
\(13\) 0.0174070 + 0.0649637i 0.00482783 + 0.0180177i 0.968298 0.249799i \(-0.0803645\pi\)
−0.963470 + 0.267817i \(0.913698\pi\)
\(14\) 6.28833 1.49524i 1.68063 0.399621i
\(15\) 5.78079 + 1.46195i 1.49259 + 0.377473i
\(16\) 1.59511 + 3.66819i 0.398777 + 0.917048i
\(17\) −0.00952807 −0.00231090 −0.00115545 0.999999i \(-0.500368\pi\)
−0.00115545 + 0.999999i \(0.500368\pi\)
\(18\) −1.09741 4.09825i −0.258662 0.965968i
\(19\) 2.79059 2.79059i 0.640205 0.640205i −0.310401 0.950606i \(-0.600463\pi\)
0.950606 + 0.310401i \(0.100463\pi\)
\(20\) 6.53893 + 2.15611i 1.46215 + 0.482120i
\(21\) −7.91555 + 0.111584i −1.72731 + 0.0243497i
\(22\) −1.62785 + 2.64350i −0.347060 + 0.563596i
\(23\) −4.81949 2.78254i −1.00493 0.580199i −0.0952296 0.995455i \(-0.530359\pi\)
−0.909704 + 0.415256i \(0.863692\pi\)
\(24\) −0.929225 4.81005i −0.189677 0.981846i
\(25\) 5.93367 3.42580i 1.18673 0.685161i
\(26\) 0.00269648 0.0950753i 0.000528823 0.0186458i
\(27\) 0.219668 + 5.19151i 0.0422752 + 0.999106i
\(28\) −9.12630 0.518089i −1.72471 0.0979096i
\(29\) −1.28304 0.343789i −0.238254 0.0638400i 0.137716 0.990472i \(-0.456024\pi\)
−0.375970 + 0.926632i \(0.622691\pi\)
\(30\) −7.24204 4.32002i −1.32221 0.788724i
\(31\) −1.30392 + 2.25846i −0.234191 + 0.405631i −0.959037 0.283280i \(-0.908578\pi\)
0.724846 + 0.688911i \(0.241911\pi\)
\(32\) −0.677361 5.61615i −0.119742 0.992805i
\(33\) 2.65042 2.72622i 0.461379 0.474573i
\(34\) 0.0129115 + 0.00385511i 0.00221430 + 0.000661146i
\(35\) −11.1260 + 11.1260i −1.88063 + 1.88063i
\(36\) −0.171073 + 5.99756i −0.0285121 + 0.999593i
\(37\) −3.32550 3.32550i −0.546708 0.546708i 0.378779 0.925487i \(-0.376344\pi\)
−0.925487 + 0.378779i \(0.876344\pi\)
\(38\) −4.91061 + 2.65244i −0.796607 + 0.430282i
\(39\) −0.0285607 + 0.112934i −0.00457338 + 0.0180840i
\(40\) −7.98853 5.56742i −1.26310 0.880287i
\(41\) −4.34209 2.50691i −0.678121 0.391513i 0.121026 0.992649i \(-0.461382\pi\)
−0.799147 + 0.601136i \(0.794715\pi\)
\(42\) 10.7715 + 3.05146i 1.66208 + 0.470851i
\(43\) −0.718661 + 2.68208i −0.109595 + 0.409013i −0.998826 0.0484450i \(-0.984573\pi\)
0.889231 + 0.457458i \(0.151240\pi\)
\(44\) 3.27548 2.92357i 0.493797 0.440744i
\(45\) 7.50585 + 7.09414i 1.11891 + 1.05753i
\(46\) 5.40507 + 5.72061i 0.796933 + 0.843457i
\(47\) −2.77988 4.81489i −0.405487 0.702324i 0.588891 0.808212i \(-0.299565\pi\)
−0.994378 + 0.105889i \(0.966231\pi\)
\(48\) −0.686977 + 6.89406i −0.0991566 + 0.995072i
\(49\) 6.94473 12.0286i 0.992104 1.71837i
\(50\) −9.42681 + 2.24151i −1.33315 + 0.316998i
\(51\) −0.0144070 0.00804928i −0.00201738 0.00112712i
\(52\) −0.0421220 + 0.127745i −0.00584126 + 0.0177151i
\(53\) 1.80067 + 1.80067i 0.247341 + 0.247341i 0.819879 0.572537i \(-0.194041\pi\)
−0.572537 + 0.819879i \(0.694041\pi\)
\(54\) 1.80284 7.12389i 0.245335 0.969438i
\(55\) 7.55731i 1.01903i
\(56\) 12.1574 + 4.39461i 1.62460 + 0.587255i
\(57\) 6.57701 1.86205i 0.871147 0.246635i
\(58\) 1.59955 + 0.984992i 0.210031 + 0.129336i
\(59\) 0.221086 0.0592399i 0.0287830 0.00771238i −0.244399 0.969675i \(-0.578591\pi\)
0.273182 + 0.961962i \(0.411924\pi\)
\(60\) 8.06578 + 8.78422i 1.04129 + 1.13404i
\(61\) −10.8847 2.91654i −1.39364 0.373425i −0.517584 0.855632i \(-0.673169\pi\)
−0.876057 + 0.482207i \(0.839835\pi\)
\(62\) 2.68073 2.53286i 0.340453 0.321674i
\(63\) −12.0630 6.51830i −1.51980 0.821229i
\(64\) −1.35443 + 7.88451i −0.169304 + 0.985564i
\(65\) 0.115767 + 0.200515i 0.0143592 + 0.0248708i
\(66\) −4.69463 + 2.62192i −0.577869 + 0.322736i
\(67\) 1.19332 + 4.45355i 0.145788 + 0.544087i 0.999719 + 0.0237016i \(0.00754517\pi\)
−0.853931 + 0.520386i \(0.825788\pi\)
\(68\) −0.0159365 0.0104481i −0.00193259 0.00126702i
\(69\) −4.93668 8.27885i −0.594306 0.996656i
\(70\) 19.5784 10.5752i 2.34007 1.26397i
\(71\) 7.21697i 0.856497i −0.903661 0.428248i \(-0.859131\pi\)
0.903661 0.428248i \(-0.140869\pi\)
\(72\) 2.65847 8.05807i 0.313303 0.949653i
\(73\) 6.99151i 0.818294i 0.912469 + 0.409147i \(0.134174\pi\)
−0.912469 + 0.409147i \(0.865826\pi\)
\(74\) 3.16086 + 5.85189i 0.367443 + 0.680269i
\(75\) 11.8662 0.167276i 1.37019 0.0193153i
\(76\) 7.72756 1.60746i 0.886412 0.184388i
\(77\) 2.59680 + 9.69138i 0.295933 + 1.10444i
\(78\) 0.0843965 0.141481i 0.00955602 0.0160196i
\(79\) 6.86643 + 11.8930i 0.772534 + 1.33807i 0.936170 + 0.351547i \(0.114344\pi\)
−0.163636 + 0.986521i \(0.552322\pi\)
\(80\) 8.57265 + 10.7766i 0.958451 + 1.20486i
\(81\) −4.05361 + 8.03543i −0.450402 + 0.892826i
\(82\) 4.86966 + 5.15395i 0.537764 + 0.569158i
\(83\) 11.8706 + 3.18073i 1.30297 + 0.349130i 0.842573 0.538582i \(-0.181040\pi\)
0.460398 + 0.887712i \(0.347707\pi\)
\(84\) −13.3618 8.49325i −1.45789 0.926689i
\(85\) −0.0316838 + 0.00848965i −0.00343659 + 0.000920832i
\(86\) 2.05904 3.34371i 0.222032 0.360562i
\(87\) −1.64960 1.60373i −0.176855 0.171938i
\(88\) −5.62149 + 2.63645i −0.599253 + 0.281046i
\(89\) 2.28107i 0.241793i 0.992665 + 0.120896i \(0.0385769\pi\)
−0.992665 + 0.120896i \(0.961423\pi\)
\(90\) −7.30084 12.6502i −0.769576 1.33344i
\(91\) −0.217358 0.217358i −0.0227853 0.0227853i
\(92\) −5.00981 9.93891i −0.522309 1.03620i
\(93\) −3.87954 + 2.31337i −0.402290 + 0.239886i
\(94\) 1.81888 + 7.64941i 0.187603 + 0.788976i
\(95\) 6.79313 11.7660i 0.696960 1.20717i
\(96\) 3.72030 9.06418i 0.379701 0.925109i
\(97\) −4.69078 8.12466i −0.476276 0.824934i 0.523354 0.852115i \(-0.324680\pi\)
−0.999631 + 0.0271807i \(0.991347\pi\)
\(98\) −14.2776 + 13.4901i −1.44226 + 1.36271i
\(99\) 6.31069 1.88313i 0.634248 0.189262i
\(100\) 13.6812 + 0.776664i 1.36812 + 0.0776664i
\(101\) −4.65331 + 17.3664i −0.463022 + 1.72802i 0.200343 + 0.979726i \(0.435794\pi\)
−0.663365 + 0.748296i \(0.730872\pi\)
\(102\) 0.0162661 + 0.0167367i 0.00161059 + 0.00165718i
\(103\) 5.05311 + 2.91741i 0.497897 + 0.287461i 0.727845 0.685742i \(-0.240522\pi\)
−0.229948 + 0.973203i \(0.573855\pi\)
\(104\) 0.108766 0.156065i 0.0106654 0.0153034i
\(105\) −26.2222 + 7.42392i −2.55903 + 0.724501i
\(106\) −1.71153 3.16865i −0.166238 0.307767i
\(107\) −11.3933 11.3933i −1.10143 1.10143i −0.994238 0.107195i \(-0.965813\pi\)
−0.107195 0.994238i \(-0.534187\pi\)
\(108\) −5.32539 + 8.92414i −0.512436 + 0.858726i
\(109\) 11.9264 11.9264i 1.14235 1.14235i 0.154326 0.988020i \(-0.450679\pi\)
0.988020 0.154326i \(-0.0493206\pi\)
\(110\) −3.05773 + 10.2409i −0.291543 + 0.976432i
\(111\) −2.21898 7.83771i −0.210616 0.743922i
\(112\) −14.6964 10.8741i −1.38868 1.02751i
\(113\) −2.85638 + 4.94740i −0.268706 + 0.465412i −0.968528 0.248905i \(-0.919929\pi\)
0.699822 + 0.714317i \(0.253263\pi\)
\(114\) −9.66590 0.137826i −0.905295 0.0129086i
\(115\) −18.5056 4.95856i −1.72566 0.462388i
\(116\) −1.76901 1.98195i −0.164248 0.184019i
\(117\) −0.138592 + 0.146635i −0.0128128 + 0.0135564i
\(118\) −0.323563 0.00917674i −0.0297864 0.000844788i
\(119\) 0.0377137 0.0217740i 0.00345721 0.00199602i
\(120\) −7.37579 15.1670i −0.673314 1.38455i
\(121\) 5.35291 + 3.09050i 0.486628 + 0.280955i
\(122\) 13.5698 + 8.35621i 1.22855 + 0.756536i
\(123\) −4.44767 7.45878i −0.401033 0.672535i
\(124\) −4.65747 + 2.34765i −0.418253 + 0.210825i
\(125\) 4.50737 4.50737i 0.403151 0.403151i
\(126\) 13.7093 + 13.7137i 1.22132 + 1.22171i
\(127\) 9.97753 0.885363 0.442681 0.896679i \(-0.354027\pi\)
0.442681 + 0.896679i \(0.354027\pi\)
\(128\) 5.02551 10.1363i 0.444196 0.895930i
\(129\) −3.35247 + 3.44834i −0.295168 + 0.303609i
\(130\) −0.0757468 0.318558i −0.00664344 0.0279393i
\(131\) −0.00265571 0.00991124i −0.000232030 0.000865949i 0.965810 0.259252i \(-0.0834760\pi\)
−0.966042 + 0.258386i \(0.916809\pi\)
\(132\) 7.42253 1.65349i 0.646048 0.143918i
\(133\) −4.66843 + 17.4228i −0.404804 + 1.51075i
\(134\) 0.184856 6.51783i 0.0159691 0.563054i
\(135\) 5.35618 + 17.0677i 0.460986 + 1.46895i
\(136\) 0.0173682 + 0.0206062i 0.00148932 + 0.00176697i
\(137\) 4.04634 2.33615i 0.345702 0.199591i −0.317089 0.948396i \(-0.602705\pi\)
0.662791 + 0.748805i \(0.269372\pi\)
\(138\) 3.34003 + 13.2161i 0.284322 + 1.12503i
\(139\) 5.90168 1.58135i 0.500574 0.134128i 0.000307450 1.00000i \(-0.499902\pi\)
0.500266 + 0.865872i \(0.333235\pi\)
\(140\) −30.8094 + 6.40886i −2.60387 + 0.541648i
\(141\) −0.135736 9.62882i −0.0114311 0.810893i
\(142\) −2.92002 + 9.77971i −0.245043 + 0.820695i
\(143\) 0.147640 0.0123463
\(144\) −6.86282 + 9.84386i −0.571902 + 0.820322i
\(145\) −4.57282 −0.379752
\(146\) 2.82880 9.47419i 0.234113 0.784089i
\(147\) 20.6626 12.3211i 1.70422 1.01623i
\(148\) −1.91558 9.20880i −0.157460 0.756958i
\(149\) 6.74921 1.80845i 0.552917 0.148154i 0.0284668 0.999595i \(-0.490938\pi\)
0.524450 + 0.851441i \(0.324271\pi\)
\(150\) −16.1475 4.57443i −1.31844 0.373501i
\(151\) 11.7804 6.80144i 0.958679 0.553494i 0.0629127 0.998019i \(-0.479961\pi\)
0.895766 + 0.444525i \(0.146628\pi\)
\(152\) −11.1220 0.948346i −0.902113 0.0769210i
\(153\) −0.0149842 0.0243420i −0.00121140 0.00196793i
\(154\) 0.402265 14.1835i 0.0324154 1.14294i
\(155\) −2.32363 + 8.67190i −0.186638 + 0.696544i
\(156\) −0.171610 + 0.157574i −0.0137398 + 0.0126160i
\(157\) 4.50899 + 16.8278i 0.359857 + 1.34300i 0.874261 + 0.485456i \(0.161347\pi\)
−0.514404 + 0.857548i \(0.671987\pi\)
\(158\) −4.49272 18.8944i −0.357422 1.50316i
\(159\) 1.20152 + 4.24392i 0.0952867 + 0.336565i
\(160\) −7.25651 18.0719i −0.573678 1.42871i
\(161\) 25.4352 2.00457
\(162\) 8.74423 9.24870i 0.687012 0.726646i
\(163\) −8.11902 + 8.11902i −0.635930 + 0.635930i −0.949549 0.313619i \(-0.898459\pi\)
0.313619 + 0.949549i \(0.398459\pi\)
\(164\) −4.51356 8.95440i −0.352450 0.699221i
\(165\) 6.38438 11.4271i 0.497024 0.889597i
\(166\) −14.7989 9.11312i −1.14862 0.707315i
\(167\) 9.28313 + 5.35962i 0.718350 + 0.414740i 0.814145 0.580661i \(-0.197206\pi\)
−0.0957949 + 0.995401i \(0.530539\pi\)
\(168\) 14.6702 + 16.9155i 1.13183 + 1.30506i
\(169\) 11.2544 6.49774i 0.865724 0.499826i
\(170\) 0.0463697 + 0.00131512i 0.00355639 + 0.000100865i
\(171\) 11.5179 + 2.74070i 0.880794 + 0.209587i
\(172\) −4.14309 + 3.69796i −0.315907 + 0.281967i
\(173\) −5.77879 1.54842i −0.439353 0.117724i 0.0323603 0.999476i \(-0.489698\pi\)
−0.471713 + 0.881752i \(0.656364\pi\)
\(174\) 1.58649 + 2.84065i 0.120271 + 0.215349i
\(175\) −15.6576 + 27.1198i −1.18361 + 2.05007i
\(176\) 8.68439 1.29816i 0.654611 0.0978528i
\(177\) 0.384341 + 0.0971988i 0.0288889 + 0.00730591i
\(178\) 0.922932 3.09108i 0.0691767 0.231686i
\(179\) −1.39609 + 1.39609i −0.104349 + 0.104349i −0.757354 0.653005i \(-0.773508\pi\)
0.653005 + 0.757354i \(0.273508\pi\)
\(180\) 4.77504 + 20.0962i 0.355911 + 1.49788i
\(181\) 1.82587 + 1.82587i 0.135716 + 0.135716i 0.771701 0.635985i \(-0.219406\pi\)
−0.635985 + 0.771701i \(0.719406\pi\)
\(182\) 0.206598 + 0.382486i 0.0153140 + 0.0283517i
\(183\) −13.9944 13.6053i −1.03450 1.00573i
\(184\) 2.76746 + 15.4952i 0.204020 + 1.14232i
\(185\) −14.0214 8.09525i −1.03087 0.595174i
\(186\) 6.19317 1.56517i 0.454105 0.114764i
\(187\) −0.00541352 + 0.0202035i −0.000395876 + 0.00147743i
\(188\) 0.630226 11.1016i 0.0459640 0.809670i
\(189\) −12.7334 20.0469i −0.926216 1.45819i
\(190\) −13.9660 + 13.1956i −1.01320 + 0.957311i
\(191\) 5.22560 + 9.05100i 0.378111 + 0.654907i 0.990787 0.135426i \(-0.0432404\pi\)
−0.612676 + 0.790334i \(0.709907\pi\)
\(192\) −8.70879 + 10.7776i −0.628503 + 0.777808i
\(193\) −12.0468 + 20.8657i −0.867150 + 1.50195i −0.00225418 + 0.999997i \(0.500718\pi\)
−0.864896 + 0.501951i \(0.832616\pi\)
\(194\) 3.06919 + 12.9076i 0.220355 + 0.926714i
\(195\) 0.00565270 + 0.400990i 0.000404798 + 0.0287155i
\(196\) 24.8058 12.5036i 1.77184 0.893116i
\(197\) 11.7435 + 11.7435i 0.836687 + 0.836687i 0.988421 0.151735i \(-0.0484859\pi\)
−0.151735 + 0.988421i \(0.548486\pi\)
\(198\) −9.31353 0.00150949i −0.661884 0.000107275i
\(199\) 8.85458i 0.627684i 0.949475 + 0.313842i \(0.101616\pi\)
−0.949475 + 0.313842i \(0.898384\pi\)
\(200\) −18.2251 6.58794i −1.28871 0.465838i
\(201\) −1.95796 + 7.74214i −0.138104 + 0.546088i
\(202\) 13.3322 21.6504i 0.938053 1.52332i
\(203\) 5.86412 1.57129i 0.411581 0.110283i
\(204\) −0.0152705 0.0292613i −0.00106915 0.00204870i
\(205\) −16.6725 4.46739i −1.16446 0.312016i
\(206\) −5.66706 5.99790i −0.394843 0.417893i
\(207\) −0.470607 16.6886i −0.0327094 1.15994i
\(208\) −0.210533 + 0.167476i −0.0145979 + 0.0116124i
\(209\) −4.33171 7.50274i −0.299631 0.518975i
\(210\) 38.5375 + 0.549505i 2.65934 + 0.0379195i
\(211\) −6.17529 23.0465i −0.425125 1.58659i −0.763651 0.645630i \(-0.776595\pi\)
0.338526 0.940957i \(-0.390072\pi\)
\(212\) 1.03724 + 4.98633i 0.0712378 + 0.342463i
\(213\) 6.09687 10.9125i 0.417750 0.747710i
\(214\) 10.8293 + 20.0489i 0.740274 + 1.37051i
\(215\) 9.55909i 0.651924i
\(216\) 10.8272 9.93841i 0.736697 0.676223i
\(217\) 11.9191i 0.809125i
\(218\) −20.9870 + 11.3360i −1.42142 + 0.767772i
\(219\) −5.90640 + 10.5716i −0.399117 + 0.714360i
\(220\) 8.28704 12.6403i 0.558712 0.852207i
\(221\) −0.000165855 0 0.000618979i −1.11566e−5 0 4.16370e-5i
\(222\) −0.164245 + 11.5187i −0.0110234 + 0.773084i
\(223\) −9.55369 16.5475i −0.639762 1.10810i −0.985485 0.169764i \(-0.945699\pi\)
0.345722 0.938337i \(-0.387634\pi\)
\(224\) 15.5154 + 20.6817i 1.03667 + 1.38186i
\(225\) 18.0836 + 9.77155i 1.20558 + 0.651437i
\(226\) 5.87242 5.54851i 0.390628 0.369081i
\(227\) −0.0783128 0.0209838i −0.00519780 0.00139275i 0.256219 0.966619i \(-0.417523\pi\)
−0.261417 + 0.965226i \(0.584190\pi\)
\(228\) 13.0425 + 4.09764i 0.863760 + 0.271373i
\(229\) −3.39514 + 0.909725i −0.224357 + 0.0601163i −0.369246 0.929332i \(-0.620384\pi\)
0.144889 + 0.989448i \(0.453717\pi\)
\(230\) 23.0707 + 14.2068i 1.52124 + 0.936769i
\(231\) −4.26073 + 16.8477i −0.280336 + 1.10850i
\(232\) 1.59528 + 3.40149i 0.104735 + 0.223318i
\(233\) 27.7645i 1.81891i −0.415798 0.909457i \(-0.636498\pi\)
0.415798 0.909457i \(-0.363502\pi\)
\(234\) 0.247135 0.142630i 0.0161557 0.00932403i
\(235\) −13.5341 13.5341i −0.882867 0.882867i
\(236\) 0.434747 + 0.143351i 0.0282996 + 0.00933133i
\(237\) 0.335275 + 23.7837i 0.0217785 + 1.54491i
\(238\) −0.0599157 + 0.0142468i −0.00388376 + 0.000923483i
\(239\) −2.56538 + 4.44336i −0.165940 + 0.287417i −0.936989 0.349359i \(-0.886399\pi\)
0.771048 + 0.636776i \(0.219733\pi\)
\(240\) 3.85830 + 23.5370i 0.249052 + 1.51931i
\(241\) 0.729827 + 1.26410i 0.0470123 + 0.0814277i 0.888574 0.458733i \(-0.151697\pi\)
−0.841562 + 0.540161i \(0.818363\pi\)
\(242\) −6.00329 6.35375i −0.385906 0.408435i
\(243\) −12.9176 + 8.72557i −0.828665 + 0.559745i
\(244\) −15.0074 16.8139i −0.960753 1.07640i
\(245\) 12.3757 46.1868i 0.790655 2.95076i
\(246\) 3.00918 + 11.9069i 0.191858 + 0.759159i
\(247\) 0.229863 + 0.132711i 0.0146258 + 0.00844422i
\(248\) 7.26120 1.29686i 0.461087 0.0823505i
\(249\) 15.2620 + 14.8377i 0.967191 + 0.940302i
\(250\) −7.93164 + 4.28423i −0.501641 + 0.270958i
\(251\) 0.191647 + 0.191647i 0.0120967 + 0.0120967i 0.713129 0.701033i \(-0.247277\pi\)
−0.701033 + 0.713129i \(0.747277\pi\)
\(252\) −13.0288 24.1303i −0.820736 1.52007i
\(253\) −8.63842 + 8.63842i −0.543093 + 0.543093i
\(254\) −13.5205 4.03696i −0.848355 0.253302i
\(255\) −0.0550798 0.0139295i −0.00344923 0.000872300i
\(256\) −10.9113 + 11.7023i −0.681954 + 0.731396i
\(257\) −15.8433 + 27.4414i −0.988278 + 1.71175i −0.361925 + 0.932207i \(0.617880\pi\)
−0.626353 + 0.779540i \(0.715453\pi\)
\(258\) 5.93814 3.31641i 0.369693 0.206471i
\(259\) 20.7625 + 5.56328i 1.29012 + 0.345686i
\(260\) −0.0262456 + 0.462325i −0.00162768 + 0.0286722i
\(261\) −1.13946 3.81851i −0.0705306 0.236360i
\(262\) −0.000411391 0.0145052i −2.54158e−5 0.000896136i
\(263\) 10.2637 5.92574i 0.632886 0.365397i −0.148983 0.988840i \(-0.547600\pi\)
0.781869 + 0.623443i \(0.214267\pi\)
\(264\) −10.7273 0.762551i −0.660218 0.0469318i
\(265\) 7.59222 + 4.38337i 0.466386 + 0.269268i
\(266\) 13.3755 21.7208i 0.820108 1.33179i
\(267\) −1.92704 + 3.44911i −0.117933 + 0.211082i
\(268\) −2.88764 + 8.75751i −0.176391 + 0.534950i
\(269\) 4.40442 4.40442i 0.268542 0.268542i −0.559970 0.828513i \(-0.689187\pi\)
0.828513 + 0.559970i \(0.189187\pi\)
\(270\) −0.352487 25.2955i −0.0214517 1.53944i
\(271\) −5.01359 −0.304554 −0.152277 0.988338i \(-0.548661\pi\)
−0.152277 + 0.988338i \(0.548661\pi\)
\(272\) −0.0151983 0.0349508i −0.000921533 0.00211920i
\(273\) −0.145035 0.512281i −0.00877790 0.0310047i
\(274\) −6.42841 + 1.52855i −0.388355 + 0.0923432i
\(275\) −3.89285 14.5283i −0.234747 0.876089i
\(276\) 0.821224 19.2605i 0.0494319 1.15934i
\(277\) −1.80783 + 6.74690i −0.108622 + 0.405382i −0.998731 0.0503657i \(-0.983961\pi\)
0.890109 + 0.455747i \(0.150628\pi\)
\(278\) −8.63718 0.244964i −0.518024 0.0146920i
\(279\) −7.82043 + 0.220531i −0.468197 + 0.0132028i
\(280\) 44.3429 + 3.78101i 2.65000 + 0.225959i
\(281\) −15.4222 + 8.90401i −0.920011 + 0.531169i −0.883639 0.468170i \(-0.844914\pi\)
−0.0363725 + 0.999338i \(0.511580\pi\)
\(282\) −3.71194 + 13.1029i −0.221043 + 0.780268i
\(283\) 12.2594 3.28490i 0.728746 0.195267i 0.124675 0.992198i \(-0.460211\pi\)
0.604071 + 0.796931i \(0.293544\pi\)
\(284\) 7.91384 12.0710i 0.469600 0.716283i
\(285\) 20.2115 12.0521i 1.19723 0.713906i
\(286\) −0.200068 0.0597361i −0.0118302 0.00353227i
\(287\) 22.9156 1.35267
\(288\) 13.2827 10.5627i 0.782690 0.622412i
\(289\) −16.9999 −0.999995
\(290\) 6.19663 + 1.85019i 0.363879 + 0.108647i
\(291\) −0.229042 16.2477i −0.0134267 0.952457i
\(292\) −7.66661 + 11.6939i −0.448655 + 0.684335i
\(293\) 13.0762 3.50375i 0.763918 0.204691i 0.144235 0.989543i \(-0.453928\pi\)
0.619683 + 0.784852i \(0.287261\pi\)
\(294\) −32.9850 + 8.33612i −1.92372 + 0.486173i
\(295\) 0.682398 0.393983i 0.0397307 0.0229386i
\(296\) −1.13013 + 13.2539i −0.0656873 + 0.770367i
\(297\) 11.1330 + 2.48384i 0.646001 + 0.144127i
\(298\) −9.87756 0.280143i −0.572192 0.0162282i
\(299\) 0.0968711 0.361528i 0.00560220 0.0209077i
\(300\) 20.0306 + 12.7322i 1.15647 + 0.735093i
\(301\) −3.28464 12.2584i −0.189323 0.706565i
\(302\) −18.7156 + 4.45020i −1.07696 + 0.256080i
\(303\) −21.7071 + 22.3279i −1.24704 + 1.28270i
\(304\) 14.6877 + 5.78512i 0.842398 + 0.331800i
\(305\) −38.7937 −2.22132
\(306\) 0.0104562 + 0.0390485i 0.000597742 + 0.00223225i
\(307\) 3.28894 3.28894i 0.187710 0.187710i −0.606995 0.794705i \(-0.707625\pi\)
0.794705 + 0.606995i \(0.207625\pi\)
\(308\) −6.28381 + 19.0572i −0.358053 + 1.08589i
\(309\) 5.17597 + 8.68014i 0.294451 + 0.493796i
\(310\) 6.65744 10.8111i 0.378117 0.614031i
\(311\) −21.8951 12.6412i −1.24156 0.716814i −0.272147 0.962256i \(-0.587734\pi\)
−0.969411 + 0.245442i \(0.921067\pi\)
\(312\) 0.296303 0.144094i 0.0167749 0.00815773i
\(313\) −3.90504 + 2.25458i −0.220726 + 0.127436i −0.606286 0.795246i \(-0.707341\pi\)
0.385560 + 0.922683i \(0.374008\pi\)
\(314\) 0.698480 24.6277i 0.0394175 1.38982i
\(315\) −45.9213 10.9271i −2.58737 0.615670i
\(316\) −1.55669 + 27.4216i −0.0875706 + 1.54258i
\(317\) −2.62723 0.703963i −0.147560 0.0395385i 0.184283 0.982873i \(-0.441004\pi\)
−0.331843 + 0.943335i \(0.607670\pi\)
\(318\) 0.0889343 6.23708i 0.00498719 0.349758i
\(319\) −1.45795 + 2.52525i −0.0816298 + 0.141387i
\(320\) 2.52130 + 27.4253i 0.140945 + 1.53312i
\(321\) −7.60232 26.8524i −0.424320 1.49875i
\(322\) −34.4672 10.2912i −1.92078 0.573506i
\(323\) −0.0265889 + 0.0265889i −0.00147945 + 0.00147945i
\(324\) −15.5914 + 8.99495i −0.866187 + 0.499719i
\(325\) 0.325840 + 0.325840i 0.0180744 + 0.0180744i
\(326\) 14.2871 7.71708i 0.791288 0.427409i
\(327\) 28.1089 7.95806i 1.55442 0.440082i
\(328\) 2.49333 + 13.9603i 0.137671 + 0.770829i
\(329\) 22.0064 + 12.7054i 1.21325 + 0.700473i
\(330\) −13.2749 + 12.9017i −0.730761 + 0.710214i
\(331\) −8.04319 + 30.0176i −0.442094 + 1.64992i 0.281403 + 0.959590i \(0.409200\pi\)
−0.723497 + 0.690327i \(0.757466\pi\)
\(332\) 16.3668 + 18.3369i 0.898247 + 1.00637i
\(333\) 3.26605 13.7257i 0.178978 0.752161i
\(334\) −10.4110 11.0188i −0.569667 0.602923i
\(335\) 7.93635 + 13.7462i 0.433609 + 0.751033i
\(336\) −13.0355 28.8578i −0.711143 1.57432i
\(337\) 10.2176 17.6974i 0.556587 0.964037i −0.441191 0.897413i \(-0.645444\pi\)
0.997778 0.0666240i \(-0.0212228\pi\)
\(338\) −17.8799 + 4.25149i −0.972537 + 0.231250i
\(339\) −8.49855 + 5.06769i −0.461578 + 0.275239i
\(340\) −0.0623034 0.0205435i −0.00337888 0.00111413i
\(341\) 4.04804 + 4.04804i 0.219214 + 0.219214i
\(342\) −14.4990 8.37412i −0.784015 0.452821i
\(343\) 31.4882i 1.70020i
\(344\) 7.11051 3.33479i 0.383373 0.179800i
\(345\) −23.7926 23.1311i −1.28095 1.24534i
\(346\) 7.20433 + 4.43639i 0.387307 + 0.238502i
\(347\) −22.8570 + 6.12452i −1.22703 + 0.328782i −0.813422 0.581674i \(-0.802398\pi\)
−0.413607 + 0.910455i \(0.635731\pi\)
\(348\) −1.00050 4.49127i −0.0536327 0.240757i
\(349\) 17.4369 + 4.67221i 0.933378 + 0.250098i 0.693294 0.720655i \(-0.256159\pi\)
0.240083 + 0.970752i \(0.422825\pi\)
\(350\) 32.1905 30.4149i 1.72065 1.62574i
\(351\) −0.333436 + 0.104639i −0.0177975 + 0.00558521i
\(352\) −12.2935 1.75461i −0.655244 0.0935211i
\(353\) −12.5772 21.7843i −0.669415 1.15946i −0.978068 0.208286i \(-0.933212\pi\)
0.308653 0.951175i \(-0.400122\pi\)
\(354\) −0.481493 0.287220i −0.0255911 0.0152656i
\(355\) −6.43043 23.9987i −0.341292 1.27372i
\(356\) −2.50133 + 3.81529i −0.132570 + 0.202210i
\(357\) 0.0754199 0.00106318i 0.00399165 5.62697e-5i
\(358\) 2.45671 1.32698i 0.129841 0.0701331i
\(359\) 7.27780i 0.384108i 0.981384 + 0.192054i \(0.0615148\pi\)
−0.981384 + 0.192054i \(0.938485\pi\)
\(360\) 1.66037 29.1643i 0.0875089 1.53710i
\(361\) 3.42522i 0.180275i
\(362\) −1.73548 3.21300i −0.0912149 0.168871i
\(363\) 5.48306 + 9.19513i 0.287786 + 0.482619i
\(364\) −0.125204 0.601897i −0.00656249 0.0315480i
\(365\) 6.22954 + 23.2489i 0.326069 + 1.21691i
\(366\) 13.4590 + 24.0988i 0.703514 + 1.25966i
\(367\) −8.64087 14.9664i −0.451050 0.781241i 0.547402 0.836870i \(-0.315617\pi\)
−0.998452 + 0.0556291i \(0.982284\pi\)
\(368\) 2.51926 22.1173i 0.131325 1.15294i
\(369\) −0.423991 15.0355i −0.0220721 0.782716i
\(370\) 15.7250 + 16.6430i 0.817503 + 0.865228i
\(371\) −11.2423 3.01238i −0.583673 0.156395i
\(372\) −9.02564 0.384833i −0.467958 0.0199527i
\(373\) 4.86123 1.30256i 0.251705 0.0674441i −0.130760 0.991414i \(-0.541742\pi\)
0.382465 + 0.923970i \(0.375075\pi\)
\(374\) 0.0155103 0.0251874i 0.000802019 0.00130241i
\(375\) 10.6232 3.00760i 0.548580 0.155312i
\(376\) −5.34580 + 14.7888i −0.275689 + 0.762676i
\(377\) 0.0893352i 0.00460100i
\(378\) 9.14392 + 32.3175i 0.470312 + 1.66223i
\(379\) −15.2370 15.2370i −0.782672 0.782672i 0.197609 0.980281i \(-0.436682\pi\)
−0.980281 + 0.197609i \(0.936682\pi\)
\(380\) 24.2643 12.2307i 1.24473 0.627420i
\(381\) 15.0866 + 8.42898i 0.772910 + 0.431830i
\(382\) −3.41912 14.3793i −0.174938 0.735710i
\(383\) 13.3638 23.1468i 0.682859 1.18275i −0.291245 0.956649i \(-0.594069\pi\)
0.974104 0.226099i \(-0.0725972\pi\)
\(384\) 16.1620 11.0811i 0.824761 0.565481i
\(385\) 17.2703 + 29.9131i 0.880177 + 1.52451i
\(386\) 24.7670 23.4009i 1.26061 1.19108i
\(387\) −7.98227 + 2.38193i −0.405761 + 0.121081i
\(388\) 1.06345 18.7329i 0.0539883 0.951021i
\(389\) −5.47767 + 20.4430i −0.277729 + 1.03650i 0.676261 + 0.736662i \(0.263599\pi\)
−0.953990 + 0.299837i \(0.903068\pi\)
\(390\) 0.154583 0.545668i 0.00782759 0.0276310i
\(391\) 0.0459205 + 0.0265122i 0.00232230 + 0.00134078i
\(392\) −38.6733 + 6.90710i −1.95330 + 0.348861i
\(393\) 0.00435739 0.0172299i 0.000219801 0.000869134i
\(394\) −11.1621 20.6650i −0.562338 1.04109i
\(395\) 33.4299 + 33.4299i 1.68204 + 1.68204i
\(396\) 12.6202 + 3.77035i 0.634187 + 0.189467i
\(397\) 18.8537 18.8537i 0.946242 0.946242i −0.0523851 0.998627i \(-0.516682\pi\)
0.998627 + 0.0523851i \(0.0166823\pi\)
\(398\) 3.58261 11.9988i 0.179580 0.601447i
\(399\) −21.7777 + 22.4004i −1.09025 + 1.12142i
\(400\) 22.0314 + 16.3013i 1.10157 + 0.815065i
\(401\) 2.65035 4.59054i 0.132352 0.229241i −0.792231 0.610222i \(-0.791080\pi\)
0.924583 + 0.380981i \(0.124414\pi\)
\(402\) 5.78575 9.69916i 0.288567 0.483750i
\(403\) −0.169415 0.0453947i −0.00843918 0.00226127i
\(404\) −26.8264 + 23.9442i −1.33466 + 1.19127i
\(405\) −6.31984 + 30.3322i −0.314035 + 1.50722i
\(406\) −8.58222 0.243405i −0.425928 0.0120800i
\(407\) −8.94088 + 5.16202i −0.443183 + 0.255872i
\(408\) 0.00885373 + 0.0458305i 0.000438325 + 0.00226895i
\(409\) −22.2531 12.8479i −1.10035 0.635285i −0.164035 0.986455i \(-0.552451\pi\)
−0.936312 + 0.351169i \(0.885784\pi\)
\(410\) 20.7854 + 12.7995i 1.02652 + 0.632124i
\(411\) 8.09187 0.114070i 0.399143 0.00562666i
\(412\) 5.25265 + 10.4207i 0.258779 + 0.513390i
\(413\) −0.739719 + 0.739719i −0.0363992 + 0.0363992i
\(414\) −6.11457 + 22.8051i −0.300515 + 1.12081i
\(415\) 42.3076 2.07680
\(416\) 0.353055 0.141764i 0.0173100 0.00695056i
\(417\) 10.2596 + 2.59462i 0.502415 + 0.127059i
\(418\) 2.83425 + 11.9196i 0.138628 + 0.583006i
\(419\) 9.68369 + 36.1400i 0.473079 + 1.76556i 0.628607 + 0.777723i \(0.283626\pi\)
−0.155528 + 0.987832i \(0.549708\pi\)
\(420\) −51.9998 16.3371i −2.53733 0.797170i
\(421\) 4.37016 16.3097i 0.212989 0.794885i −0.773876 0.633337i \(-0.781685\pi\)
0.986865 0.161548i \(-0.0516486\pi\)
\(422\) −0.956602 + 33.7289i −0.0465667 + 1.64190i
\(423\) 7.92915 14.6740i 0.385529 0.713475i
\(424\) 0.611935 7.17665i 0.0297182 0.348529i
\(425\) −0.0565364 + 0.0326413i −0.00274242 + 0.00158334i
\(426\) −12.6771 + 12.3207i −0.614208 + 0.596938i
\(427\) 49.7484 13.3301i 2.40750 0.645087i
\(428\) −6.56287 31.5498i −0.317228 1.52502i
\(429\) 0.223241 + 0.124726i 0.0107782 + 0.00602183i
\(430\) 3.86766 12.9535i 0.186515 0.624674i
\(431\) −35.2704 −1.69891 −0.849457 0.527658i \(-0.823070\pi\)
−0.849457 + 0.527658i \(0.823070\pi\)
\(432\) −18.6930 + 9.08680i −0.899370 + 0.437189i
\(433\) 40.6920 1.95553 0.977766 0.209700i \(-0.0672488\pi\)
0.977766 + 0.209700i \(0.0672488\pi\)
\(434\) −4.82255 + 16.1516i −0.231490 + 0.775303i
\(435\) −6.91437 3.86310i −0.331519 0.185222i
\(436\) 33.0261 6.86997i 1.58166 0.329012i
\(437\) −21.2142 + 5.68431i −1.01481 + 0.271918i
\(438\) 12.2811 11.9358i 0.586812 0.570313i
\(439\) 11.7973 6.81118i 0.563055 0.325080i −0.191316 0.981529i \(-0.561275\pi\)
0.754371 + 0.656449i \(0.227942\pi\)
\(440\) −16.3441 + 13.7758i −0.779174 + 0.656737i
\(441\) 41.6518 1.17455i 1.98342 0.0559311i
\(442\) −2.56923e−5 0 0.000905884i −1.22206e−6 0 4.30885e-5i
\(443\) −2.61349 + 9.75367i −0.124171 + 0.463411i −0.999809 0.0195569i \(-0.993774\pi\)
0.875638 + 0.482968i \(0.160441\pi\)
\(444\) 4.88309 15.5425i 0.231741 0.737615i
\(445\) 2.03247 + 7.58527i 0.0963481 + 0.359576i
\(446\) 6.25100 + 26.2889i 0.295994 + 1.24482i
\(447\) 11.7330 + 2.96723i 0.554950 + 0.140345i
\(448\) −12.6570 34.3034i −0.597987 1.62068i
\(449\) −5.23717 −0.247158 −0.123579 0.992335i \(-0.539437\pi\)
−0.123579 + 0.992335i \(0.539437\pi\)
\(450\) −20.5515 20.5582i −0.968807 0.969121i
\(451\) −7.78273 + 7.78273i −0.366474 + 0.366474i
\(452\) −10.2027 + 5.14277i −0.479893 + 0.241895i
\(453\) 23.5585 0.332102i 1.10688 0.0156035i
\(454\) 0.0976314 + 0.0601210i 0.00458207 + 0.00282162i
\(455\) −0.916453 0.529114i −0.0429640 0.0248053i
\(456\) −16.0160 10.8298i −0.750016 0.507151i
\(457\) −3.03428 + 1.75184i −0.141938 + 0.0819477i −0.569287 0.822139i \(-0.692781\pi\)
0.427349 + 0.904087i \(0.359447\pi\)
\(458\) 4.96883 + 0.140924i 0.232178 + 0.00658493i
\(459\) −0.00209302 0.0494651i −9.76936e−5 0.00230883i
\(460\) −25.5149 28.5862i −1.18964 1.33284i
\(461\) −32.1116 8.60429i −1.49559 0.400742i −0.583968 0.811777i \(-0.698501\pi\)
−0.911620 + 0.411035i \(0.865167\pi\)
\(462\) 12.5904 21.1064i 0.585758 0.981958i
\(463\) 14.6805 25.4274i 0.682261 1.18171i −0.292028 0.956410i \(-0.594330\pi\)
0.974289 0.225301i \(-0.0723366\pi\)
\(464\) −0.785501 5.25481i −0.0364660 0.243948i
\(465\) −10.8394 + 11.1494i −0.502667 + 0.517042i
\(466\) −11.2337 + 37.6237i −0.520390 + 1.74288i
\(467\) 7.90699 7.90699i 0.365892 0.365892i −0.500085 0.865977i \(-0.666698\pi\)
0.865977 + 0.500085i \(0.166698\pi\)
\(468\) −0.392602 + 0.0932859i −0.0181480 + 0.00431214i
\(469\) −14.9008 14.9008i −0.688057 0.688057i
\(470\) 12.8641 + 23.8160i 0.593376 + 1.09855i
\(471\) −7.39820 + 29.2538i −0.340891 + 1.34794i
\(472\) −0.531125 0.370155i −0.0244470 0.0170378i
\(473\) 5.27882 + 3.04773i 0.242720 + 0.140135i
\(474\) 9.16866 32.3649i 0.421131 1.48657i
\(475\) 6.99842 26.1185i 0.321109 1.19840i
\(476\) 0.0869561 + 0.00493639i 0.00398562 + 0.000226259i
\(477\) −1.76848 + 7.43209i −0.0809732 + 0.340292i
\(478\) 5.27415 4.98323i 0.241234 0.227928i
\(479\) 5.66988 + 9.82052i 0.259064 + 0.448711i 0.965991 0.258575i \(-0.0832528\pi\)
−0.706928 + 0.707286i \(0.749919\pi\)
\(480\) 4.29482 33.4561i 0.196031 1.52705i
\(481\) 0.158150 0.273923i 0.00721101 0.0124898i
\(482\) −0.477528 2.00827i −0.0217508 0.0914742i
\(483\) 38.4594 + 21.4875i 1.74996 + 0.977716i
\(484\) 5.56429 + 11.0389i 0.252922 + 0.501769i
\(485\) −22.8375 22.8375i −1.03700 1.03700i
\(486\) 21.0350 6.59748i 0.954169 0.299268i
\(487\) 27.9896i 1.26833i −0.773198 0.634165i \(-0.781344\pi\)
0.773198 0.634165i \(-0.218656\pi\)
\(488\) 13.5336 + 28.8566i 0.612637 + 1.30628i
\(489\) −19.1353 + 5.41751i −0.865330 + 0.244988i
\(490\) −35.4577 + 57.5804i −1.60182 + 2.60122i
\(491\) 12.6271 3.38342i 0.569853 0.152692i 0.0376238 0.999292i \(-0.488021\pi\)
0.532229 + 0.846600i \(0.321354\pi\)
\(492\) 0.739876 17.3526i 0.0333562 0.782316i
\(493\) 0.0122249 + 0.00327565i 0.000550581 + 0.000147528i
\(494\) −0.257791 0.272841i −0.0115986 0.0122757i
\(495\) 19.3071 11.8849i 0.867790 0.534187i
\(496\) −10.3644 1.18055i −0.465374 0.0530082i
\(497\) 16.4926 + 28.5660i 0.739793 + 1.28136i
\(498\) −14.6781 26.2817i −0.657743 1.17771i
\(499\) 3.90895 + 14.5884i 0.174989 + 0.653066i 0.996554 + 0.0829515i \(0.0264347\pi\)
−0.821565 + 0.570115i \(0.806899\pi\)
\(500\) 12.4816 2.59637i 0.558193 0.116113i
\(501\) 9.50885 + 15.9464i 0.424824 + 0.712433i
\(502\) −0.182160 0.337243i −0.00813018 0.0150519i
\(503\) 2.90879i 0.129697i −0.997895 0.0648483i \(-0.979344\pi\)
0.997895 0.0648483i \(-0.0206564\pi\)
\(504\) 7.89205 + 37.9705i 0.351540 + 1.69134i
\(505\) 61.8949i 2.75429i
\(506\) 15.2011 8.21076i 0.675770 0.365013i
\(507\) 22.5066 0.317272i 0.999553 0.0140906i
\(508\) 16.6883 + 10.9410i 0.740424 + 0.485427i
\(509\) −9.12406 34.0514i −0.404417 1.50930i −0.805129 0.593100i \(-0.797904\pi\)
0.400712 0.916204i \(-0.368763\pi\)
\(510\) 0.0690026 + 0.0411615i 0.00305549 + 0.00182266i
\(511\) −15.9773 27.6736i −0.706796 1.22421i
\(512\) 19.5207 11.4431i 0.862700 0.505717i
\(513\) 15.1004 + 13.8744i 0.666698 + 0.612568i
\(514\) 32.5722 30.7755i 1.43670 1.35745i
\(515\) 19.4026 + 5.19891i 0.854981 + 0.229092i
\(516\) −9.38861 + 2.09147i −0.413311 + 0.0920717i
\(517\) −11.7890 + 3.15886i −0.518481 + 0.138926i
\(518\) −25.8843 15.9394i −1.13729 0.700337i
\(519\) −7.42976 7.22320i −0.326130 0.317063i
\(520\) 0.222624 0.615877i 0.00976273 0.0270080i
\(521\) 13.7437i 0.602123i −0.953605 0.301061i \(-0.902659\pi\)
0.953605 0.301061i \(-0.0973409\pi\)
\(522\) −0.000913373 5.63549i −3.99773e−5 0.246659i
\(523\) 9.11467 + 9.11467i 0.398557 + 0.398557i 0.877724 0.479167i \(-0.159061\pi\)
−0.479167 + 0.877724i \(0.659061\pi\)
\(524\) 0.00642637 0.0194896i 0.000280737 0.000851406i
\(525\) −46.5860 + 27.7792i −2.03318 + 1.21238i
\(526\) −16.3059 + 3.87723i −0.710971 + 0.169055i
\(527\) 0.0124239 0.0215188i 0.000541192 0.000937372i
\(528\) 14.2280 + 5.37364i 0.619194 + 0.233858i
\(529\) 3.98502 + 6.90225i 0.173262 + 0.300098i
\(530\) −8.51468 9.01176i −0.369854 0.391446i
\(531\) 0.499033 + 0.471660i 0.0216562 + 0.0204683i
\(532\) −26.9135 + 24.0220i −1.16685 + 1.04149i
\(533\) 0.0872754 0.325716i 0.00378032 0.0141083i
\(534\) 4.00686 3.89419i 0.173394 0.168518i
\(535\) −48.0379 27.7347i −2.07686 1.19908i
\(536\) 7.45638 10.6989i 0.322067 0.462124i
\(537\) −3.29039 + 0.931561i −0.141991 + 0.0401998i
\(538\) −7.75048 + 4.18638i −0.334147 + 0.180488i
\(539\) −21.5600 21.5600i −0.928654 0.928654i
\(540\) −9.75704 + 34.4205i −0.419876 + 1.48122i
\(541\) −17.0782 + 17.0782i −0.734248 + 0.734248i −0.971458 0.237210i \(-0.923767\pi\)
0.237210 + 0.971458i \(0.423767\pi\)
\(542\) 6.79392 + 2.02853i 0.291824 + 0.0871326i
\(543\) 1.21834 + 4.30332i 0.0522838 + 0.184673i
\(544\) 0.00645395 + 0.0535111i 0.000276711 + 0.00229427i
\(545\) 29.0325 50.2858i 1.24362 2.15401i
\(546\) −0.0107352 + 0.752874i −0.000459424 + 0.0322200i
\(547\) 3.34927 + 0.897434i 0.143204 + 0.0383715i 0.329709 0.944083i \(-0.393049\pi\)
−0.186505 + 0.982454i \(0.559716\pi\)
\(548\) 9.32960 + 0.529630i 0.398541 + 0.0226247i
\(549\) −9.66661 32.3945i −0.412561 1.38256i
\(550\) −0.603033 + 21.2624i −0.0257134 + 0.906630i
\(551\) −4.53981 + 2.62106i −0.193402 + 0.111661i
\(552\) −8.90573 + 25.7676i −0.379053 + 1.09674i
\(553\) −54.3570 31.3830i −2.31149 1.33454i
\(554\) 5.17961 8.41126i 0.220061 0.357360i
\(555\) −14.3623 24.0857i −0.609646 1.02238i
\(556\) 11.6051 + 3.82660i 0.492167 + 0.162284i
\(557\) −6.42266 + 6.42266i −0.272137 + 0.272137i −0.829960 0.557823i \(-0.811637\pi\)
0.557823 + 0.829960i \(0.311637\pi\)
\(558\) 10.6867 + 2.86534i 0.452403 + 0.121300i
\(559\) −0.186748 −0.00789858
\(560\) −58.5592 23.0650i −2.47458 0.974675i
\(561\) −0.0252534 + 0.0259756i −0.00106620 + 0.00109669i
\(562\) 24.5012 5.82592i 1.03352 0.245751i
\(563\) −0.591735 2.20839i −0.0249387 0.0930723i 0.952335 0.305055i \(-0.0986747\pi\)
−0.977273 + 0.211982i \(0.932008\pi\)
\(564\) 10.3316 16.2539i 0.435037 0.684413i
\(565\) −5.09015 + 18.9967i −0.214144 + 0.799198i
\(566\) −17.9418 0.508857i −0.754150 0.0213889i
\(567\) −2.31809 41.0691i −0.0973505 1.72474i
\(568\) −15.6080 + 13.1555i −0.654899 + 0.551991i
\(569\) −8.94577 + 5.16484i −0.375026 + 0.216522i −0.675652 0.737221i \(-0.736138\pi\)
0.300626 + 0.953742i \(0.402804\pi\)
\(570\) −32.2650 + 8.15415i −1.35143 + 0.341540i
\(571\) −40.8233 + 10.9386i −1.70840 + 0.457765i −0.975032 0.222063i \(-0.928721\pi\)
−0.733371 + 0.679828i \(0.762054\pi\)
\(572\) 0.246942 + 0.161897i 0.0103252 + 0.00676924i
\(573\) 0.255156 + 18.1002i 0.0106593 + 0.756147i
\(574\) −31.0530 9.27179i −1.29613 0.386997i
\(575\) −38.1297 −1.59012
\(576\) −22.2731 + 8.93923i −0.928045 + 0.372468i
\(577\) −28.0181 −1.16641 −0.583204 0.812326i \(-0.698201\pi\)
−0.583204 + 0.812326i \(0.698201\pi\)
\(578\) 23.0366 + 6.87825i 0.958195 + 0.286098i
\(579\) −35.8428 + 21.3731i −1.48958 + 0.888235i
\(580\) −7.64845 5.01438i −0.317585 0.208211i
\(581\) −54.2547 + 14.5375i −2.25086 + 0.603117i
\(582\) −6.26353 + 22.1099i −0.259632 + 0.916486i
\(583\) 4.84126 2.79510i 0.200505 0.115761i
\(584\) 15.1204 12.7445i 0.625688 0.527370i
\(585\) −0.330207 + 0.611095i −0.0136524 + 0.0252657i
\(586\) −19.1372 0.542759i −0.790549 0.0224212i
\(587\) 7.00291 26.1352i 0.289041 1.07872i −0.656794 0.754070i \(-0.728088\pi\)
0.945835 0.324646i \(-0.105245\pi\)
\(588\) 48.0708 + 2.04963i 1.98241 + 0.0845254i
\(589\) 2.66372 + 9.94115i 0.109757 + 0.409618i
\(590\) −1.08412 + 0.257784i −0.0446327 + 0.0106128i
\(591\) 7.83596 + 27.6776i 0.322328 + 1.13850i
\(592\) 6.89403 17.5031i 0.283343 0.719372i
\(593\) 27.4816 1.12853 0.564267 0.825592i \(-0.309159\pi\)
0.564267 + 0.825592i \(0.309159\pi\)
\(594\) −14.0813 7.87032i −0.577764 0.322923i
\(595\) 0.106009 0.106009i 0.00434594 0.00434594i
\(596\) 13.2717 + 4.37614i 0.543631 + 0.179253i
\(597\) −7.48031 + 13.3886i −0.306149 + 0.547960i
\(598\) −0.277546 + 0.450712i −0.0113497 + 0.0184310i
\(599\) 23.2792 + 13.4402i 0.951162 + 0.549153i 0.893442 0.449179i \(-0.148284\pi\)
0.0577200 + 0.998333i \(0.481617\pi\)
\(600\) −21.9920 25.3579i −0.897819 1.03523i
\(601\) 33.4069 19.2875i 1.36269 0.786752i 0.372713 0.927947i \(-0.378428\pi\)
0.989982 + 0.141195i \(0.0450944\pi\)
\(602\) −0.508817 + 17.9404i −0.0207378 + 0.731196i
\(603\) −9.50108 + 10.0525i −0.386914 + 0.409369i
\(604\) 27.1620 + 1.54195i 1.10521 + 0.0627412i
\(605\) 20.5538 + 5.50737i 0.835630 + 0.223906i
\(606\) 38.4493 21.4737i 1.56190 0.872310i
\(607\) −4.36643 + 7.56288i −0.177228 + 0.306968i −0.940930 0.338601i \(-0.890046\pi\)
0.763702 + 0.645569i \(0.223380\pi\)
\(608\) −17.5626 13.7821i −0.712258 0.558940i
\(609\) 10.1943 + 2.57811i 0.413094 + 0.104470i
\(610\) 52.5693 + 15.6961i 2.12847 + 0.635518i
\(611\) 0.264404 0.264404i 0.0106966 0.0106966i
\(612\) 0.00162999 0.0571452i 6.58886e−5 0.00230996i
\(613\) 22.3747 + 22.3747i 0.903705 + 0.903705i 0.995754 0.0920491i \(-0.0293417\pi\)
−0.0920491 + 0.995754i \(0.529342\pi\)
\(614\) −5.78757 + 3.12612i −0.233567 + 0.126160i
\(615\) −21.4358 20.8398i −0.864374 0.840343i
\(616\) 16.2259 23.2820i 0.653758 0.938058i
\(617\) 36.5935 + 21.1273i 1.47320 + 0.850552i 0.999545 0.0301587i \(-0.00960127\pi\)
0.473654 + 0.880711i \(0.342935\pi\)
\(618\) −3.50192 13.8567i −0.140868 0.557397i
\(619\) 1.95959 7.31328i 0.0787625 0.293946i −0.915298 0.402778i \(-0.868045\pi\)
0.994060 + 0.108833i \(0.0347113\pi\)
\(620\) −13.3957 + 11.9565i −0.537986 + 0.480186i
\(621\) 13.3869 25.6317i 0.537196 1.02856i
\(622\) 24.5554 + 25.9889i 0.984581 + 1.04206i
\(623\) −5.21281 9.02885i −0.208847 0.361733i
\(624\) −0.459822 + 0.0753762i −0.0184076 + 0.00301746i
\(625\) −6.15675 + 10.6638i −0.246270 + 0.426552i
\(626\) 6.20393 1.47518i 0.247959 0.0589599i
\(627\) −0.211509 15.0040i −0.00844687 0.599202i
\(628\) −10.9110 + 33.0904i −0.435397 + 1.32045i
\(629\) 0.0316856 + 0.0316856i 0.00126339 + 0.00126339i
\(630\) 57.8067 + 33.3872i 2.30308 + 1.33018i
\(631\) 9.01756i 0.358983i −0.983759 0.179492i \(-0.942555\pi\)
0.983759 0.179492i \(-0.0574453\pi\)
\(632\) 13.2044 36.5291i 0.525242 1.45305i
\(633\) 10.1322 40.0645i 0.402719 1.59242i
\(634\) 3.27533 + 2.01693i 0.130080 + 0.0801025i
\(635\) 33.1784 8.89013i 1.31664 0.352794i
\(636\) −2.64407 + 8.41588i −0.104844 + 0.333711i
\(637\) 0.902311 + 0.241773i 0.0357508 + 0.00957941i
\(638\) 2.99740 2.83207i 0.118668 0.112123i
\(639\) 18.4376 11.3497i 0.729382 0.448987i
\(640\) 7.67980 38.1841i 0.303571 1.50936i
\(641\) −16.9278 29.3199i −0.668609 1.15807i −0.978293 0.207226i \(-0.933557\pi\)
0.309684 0.950840i \(-0.399777\pi\)
\(642\) −0.562710 + 39.4636i −0.0222084 + 1.55750i
\(643\) 10.3175 + 38.5056i 0.406884 + 1.51851i 0.800554 + 0.599261i \(0.204539\pi\)
−0.393669 + 0.919252i \(0.628794\pi\)
\(644\) 42.5426 + 27.8912i 1.67641 + 1.09907i
\(645\) −8.07548 + 14.4539i −0.317972 + 0.569122i
\(646\) 0.0467887 0.0252726i 0.00184088 0.000994338i
\(647\) 19.8346i 0.779778i 0.920862 + 0.389889i \(0.127487\pi\)
−0.920862 + 0.389889i \(0.872513\pi\)
\(648\) 24.7673 5.88069i 0.972950 0.231016i
\(649\) 0.502454i 0.0197231i
\(650\) −0.309709 0.573383i −0.0121478 0.0224899i
\(651\) 10.0693 18.0224i 0.394645 0.706355i
\(652\) −22.4828 + 4.67678i −0.880493 + 0.183157i
\(653\) 1.89281 + 7.06407i 0.0740714 + 0.276438i 0.993021 0.117936i \(-0.0376279\pi\)
−0.918950 + 0.394375i \(0.870961\pi\)
\(654\) −41.3102 0.589041i −1.61536 0.0230333i
\(655\) −0.0176621 0.0305917i −0.000690116 0.00119532i
\(656\) 2.26971 19.9264i 0.0886173 0.777996i
\(657\) −17.8616 + 10.9951i −0.696849 + 0.428960i
\(658\) −24.6802 26.1210i −0.962136 1.01830i
\(659\) −29.2812 7.84588i −1.14063 0.305632i −0.361429 0.932400i \(-0.617711\pi\)
−0.779206 + 0.626768i \(0.784378\pi\)
\(660\) 23.2089 12.1120i 0.903407 0.471457i
\(661\) −6.59497 + 1.76712i −0.256515 + 0.0687329i −0.384785 0.923006i \(-0.625724\pi\)
0.128270 + 0.991739i \(0.459058\pi\)
\(662\) 23.0446 37.4225i 0.895654 1.45447i
\(663\) 0.000272129 0.00107605i 1.05686e−5 4.17902e-5i
\(664\) −14.7595 31.4705i −0.572779 1.22129i
\(665\) 62.0959i 2.40798i
\(666\) −9.97929 + 17.2782i −0.386690 + 0.669515i
\(667\) 5.22699 + 5.22699i 0.202390 + 0.202390i
\(668\) 9.64972 + 19.1440i 0.373359 + 0.740702i
\(669\) −0.466489 33.0917i −0.0180355 1.27940i
\(670\) −5.19278 21.8385i −0.200614 0.843695i
\(671\) −12.3686 + 21.4230i −0.477485 + 0.827027i
\(672\) 5.98836 + 44.3794i 0.231006 + 1.71197i
\(673\) −15.7160 27.2209i −0.605808 1.04929i −0.991923 0.126839i \(-0.959517\pi\)
0.386116 0.922450i \(-0.373817\pi\)
\(674\) −21.0063 + 19.8476i −0.809132 + 0.764501i
\(675\) 19.0885 + 30.0521i 0.734718 + 1.15671i
\(676\) 25.9492 + 1.47310i 0.998045 + 0.0566578i
\(677\) 8.04835 30.0368i 0.309323 1.15441i −0.619837 0.784731i \(-0.712801\pi\)
0.929160 0.369679i \(-0.120532\pi\)
\(678\) 13.5668 3.42867i 0.521030 0.131677i
\(679\) 37.1337 + 21.4392i 1.42506 + 0.822760i
\(680\) 0.0761153 + 0.0530468i 0.00291889 + 0.00203425i
\(681\) −0.100686 0.0978871i −0.00385831 0.00375104i
\(682\) −3.84764 7.12336i −0.147334 0.272768i
\(683\) −4.48036 4.48036i −0.171436 0.171436i 0.616174 0.787610i \(-0.288682\pi\)
−0.787610 + 0.616174i \(0.788682\pi\)
\(684\) 16.2593 + 17.2141i 0.621691 + 0.658199i
\(685\) 11.3738 11.3738i 0.434570 0.434570i
\(686\) 12.7403 42.6697i 0.486427 1.62914i
\(687\) −5.90218 1.49264i −0.225182 0.0569479i
\(688\) −10.9847 + 1.64202i −0.418789 + 0.0626015i
\(689\) −0.0856341 + 0.148323i −0.00326240 + 0.00565064i
\(690\) 22.8823 + 40.9715i 0.871116 + 1.55976i
\(691\) 31.7592 + 8.50986i 1.20818 + 0.323730i 0.806047 0.591852i \(-0.201603\pi\)
0.402131 + 0.915582i \(0.368270\pi\)
\(692\) −7.96760 8.92666i −0.302883 0.339341i
\(693\) −20.6753 + 21.8752i −0.785391 + 0.830972i
\(694\) 33.4516 + 0.948738i 1.26980 + 0.0360136i
\(695\) 18.2159 10.5170i 0.690969 0.398931i
\(696\) −0.461409 + 6.49093i −0.0174897 + 0.246038i
\(697\) 0.0413718 + 0.0238860i 0.00156707 + 0.000904747i
\(698\) −21.7384 13.3864i −0.822810 0.506682i
\(699\) 23.4554 41.9816i 0.887163 1.58789i
\(700\) −55.9273 + 28.1908i −2.11385 + 1.06551i
\(701\) −22.5839 + 22.5839i −0.852983 + 0.852983i −0.990499 0.137517i \(-0.956088\pi\)
0.137517 + 0.990499i \(0.456088\pi\)
\(702\) 0.494176 0.00688623i 0.0186515 0.000259904i
\(703\) −18.5602 −0.700011
\(704\) 15.9489 + 7.35167i 0.601098 + 0.277077i
\(705\) −9.03079 31.8979i −0.340119 1.20134i
\(706\) 8.22927 + 34.6087i 0.309713 + 1.30251i
\(707\) −21.2680 79.3731i −0.799864 2.98513i
\(708\) 0.536261 + 0.584027i 0.0201539 + 0.0219491i
\(709\) 7.70727 28.7639i 0.289453 1.08025i −0.656071 0.754699i \(-0.727783\pi\)
0.945524 0.325553i \(-0.105550\pi\)
\(710\) −0.996125 + 35.1224i −0.0373839 + 1.31812i
\(711\) −19.5854 + 36.2455i −0.734509 + 1.35931i
\(712\) 4.93324 4.15805i 0.184881 0.155829i
\(713\) 12.5685 7.25642i 0.470694 0.271755i
\(714\) −0.102632 0.0290746i −0.00384089 0.00108809i
\(715\) 0.490951 0.131550i 0.0183605 0.00491969i
\(716\) −3.86600 + 0.804190i −0.144479 + 0.0300540i
\(717\) −7.63273 + 4.55140i −0.285050 + 0.169975i
\(718\) 2.94464 9.86215i 0.109893 0.368052i
\(719\) 39.3171 1.46628 0.733140 0.680078i \(-0.238054\pi\)
0.733140 + 0.680078i \(0.238054\pi\)
\(720\) −14.0500 + 38.8488i −0.523613 + 1.44781i
\(721\) −26.6680 −0.993170
\(722\) 1.38586 4.64151i 0.0515764 0.172739i
\(723\) 0.0356361 + 2.52794i 0.00132532 + 0.0940153i
\(724\) 1.05175 + 5.05612i 0.0390882 + 0.187909i
\(725\) −8.79087 + 2.35551i −0.326485 + 0.0874814i
\(726\) −3.70969 14.6788i −0.137680 0.544781i
\(727\) −26.4795 + 15.2880i −0.982072 + 0.566999i −0.902895 0.429861i \(-0.858562\pi\)
−0.0791766 + 0.996861i \(0.525229\pi\)
\(728\) −0.0738663 + 0.866289i −0.00273767 + 0.0321068i
\(729\) −26.9035 + 2.28082i −0.996426 + 0.0844748i
\(730\) 0.965005 34.0251i 0.0357164 1.25933i
\(731\) 0.00684745 0.0255550i 0.000253262 0.000945187i
\(732\) −8.48781 38.1018i −0.313718 1.40828i
\(733\) 5.26522 + 19.6501i 0.194475 + 0.725792i 0.992402 + 0.123038i \(0.0392636\pi\)
−0.797927 + 0.602755i \(0.794070\pi\)
\(734\) 5.65374 + 23.7771i 0.208683 + 0.877630i
\(735\) 57.7312 59.3821i 2.12945 2.19034i
\(736\) −12.3626 + 28.9518i −0.455692 + 1.06718i
\(737\) 10.1214 0.372827
\(738\) −5.50889 + 20.5461i −0.202785 + 0.756313i
\(739\) −30.6148 + 30.6148i −1.12618 + 1.12618i −0.135393 + 0.990792i \(0.543230\pi\)
−0.990792 + 0.135393i \(0.956770\pi\)
\(740\) −14.5751 28.9153i −0.535790 1.06295i
\(741\) 0.235452 + 0.394855i 0.00864954 + 0.0145053i
\(742\) 14.0157 + 8.63078i 0.514531 + 0.316846i
\(743\) −1.59632 0.921634i −0.0585632 0.0338115i 0.470433 0.882436i \(-0.344098\pi\)
−0.528996 + 0.848625i \(0.677431\pi\)
\(744\) 12.0749 + 4.17331i 0.442689 + 0.153001i
\(745\) 20.8319 12.0273i 0.763221 0.440646i
\(746\) −7.11447 0.201777i −0.260479 0.00738759i
\(747\) 10.5422 + 35.3288i 0.385720 + 1.29261i
\(748\) −0.0312090 + 0.0278559i −0.00114111 + 0.00101851i
\(749\) 71.1332 + 19.0601i 2.59915 + 0.696440i
\(750\) −15.6124 0.222617i −0.570084 0.00812881i
\(751\) −1.25078 + 2.16642i −0.0456416 + 0.0790536i −0.887944 0.459952i \(-0.847867\pi\)
0.842302 + 0.539006i \(0.181200\pi\)
\(752\) 13.2277 17.8774i 0.482366 0.651922i
\(753\) 0.127879 + 0.451685i 0.00466017 + 0.0164603i
\(754\) −0.0361455 + 0.121058i −0.00131634 + 0.00440868i
\(755\) 33.1135 33.1135i 1.20512 1.20512i
\(756\) 0.684901 47.4931i 0.0249096 1.72731i
\(757\) −20.0347 20.0347i −0.728173 0.728173i 0.242083 0.970256i \(-0.422169\pi\)
−0.970256 + 0.242083i \(0.922169\pi\)
\(758\) 14.4827 + 26.8126i 0.526034 + 0.973878i
\(759\) −20.3595 + 5.76409i −0.739003 + 0.209223i
\(760\) −37.8291 + 6.75632i −1.37221 + 0.245078i
\(761\) −37.9914 21.9344i −1.37719 0.795120i −0.385369 0.922763i \(-0.625926\pi\)
−0.991820 + 0.127642i \(0.959259\pi\)
\(762\) −17.0334 17.5262i −0.617056 0.634908i
\(763\) −19.9520 + 74.4617i −0.722310 + 2.69570i
\(764\) −1.18470 + 20.8688i −0.0428608 + 0.755006i
\(765\) −0.0715162 0.0675934i −0.00258568 0.00244385i
\(766\) −27.4746 + 25.9592i −0.992699 + 0.937943i
\(767\) 0.00769689 + 0.0133314i 0.000277919 + 0.000481369i
\(768\) −26.3845 + 8.47681i −0.952070 + 0.305881i
\(769\) 16.2595 28.1622i 0.586331 1.01555i −0.408377 0.912813i \(-0.633905\pi\)
0.994708 0.102742i \(-0.0327615\pi\)
\(770\) −11.3000 47.5229i −0.407224 1.71261i
\(771\) −47.1384 + 28.1086i −1.69765 + 1.01231i
\(772\) −43.0300 + 21.6897i −1.54868 + 0.780630i