Properties

Label 588.2.x.a.55.2
Level $588$
Weight $2$
Character 588.55
Analytic conductor $4.695$
Analytic rank $0$
Dimension $168$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 588.x (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.69520363885\)
Analytic rank: \(0\)
Dimension: \(168\)
Relative dimension: \(28\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 55.2
Character \(\chi\) \(=\) 588.55
Dual form 588.2.x.a.139.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.39924 - 0.205230i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(1.91576 + 0.574332i) q^{4} +(-1.72652 + 3.58517i) q^{5} +(1.17163 + 0.792014i) q^{6} +(1.74761 + 1.98642i) q^{7} +(-2.56275 - 1.19680i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})\) \(q+(-1.39924 - 0.205230i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(1.91576 + 0.574332i) q^{4} +(-1.72652 + 3.58517i) q^{5} +(1.17163 + 0.792014i) q^{6} +(1.74761 + 1.98642i) q^{7} +(-2.56275 - 1.19680i) q^{8} +(0.623490 + 0.781831i) q^{9} +(3.15161 - 4.66218i) q^{10} +(0.270269 + 0.215532i) q^{11} +(-1.47685 - 1.34867i) q^{12} +(4.11705 + 3.28323i) q^{13} +(-2.03765 - 3.13815i) q^{14} +(3.11109 - 2.48101i) q^{15} +(3.34028 + 2.20057i) q^{16} +(-6.18110 - 1.41080i) q^{17} +(-0.711959 - 1.22193i) q^{18} -4.78527 q^{19} +(-5.36669 + 5.87672i) q^{20} +(-0.712662 - 2.54796i) q^{21} +(-0.333938 - 0.357049i) q^{22} +(8.08545 - 1.84545i) q^{23} +(1.78968 + 2.19021i) q^{24} +(-6.75507 - 8.47059i) q^{25} +(-5.08693 - 5.43898i) q^{26} +(-0.222521 - 0.974928i) q^{27} +(2.20713 + 4.80922i) q^{28} +(-0.479403 + 2.10040i) q^{29} +(-4.86235 + 2.83305i) q^{30} -5.87291 q^{31} +(-4.22225 - 3.76465i) q^{32} +(-0.149988 - 0.311453i) q^{33} +(8.35932 + 3.24259i) q^{34} +(-10.1389 + 2.83585i) q^{35} +(0.745427 + 1.85589i) q^{36} +(-0.963703 + 4.22226i) q^{37} +(6.69576 + 0.982080i) q^{38} +(-2.28479 - 4.74441i) q^{39} +(8.71538 - 7.12156i) q^{40} +(-0.142438 + 0.295776i) q^{41} +(0.474270 + 3.71148i) q^{42} +(-0.748601 - 1.55449i) q^{43} +(0.393984 + 0.568133i) q^{44} +(-3.87947 + 0.885463i) q^{45} +(-11.6923 + 0.922860i) q^{46} +(1.26110 - 1.58137i) q^{47} +(-2.05470 - 3.43194i) q^{48} +(-0.891747 + 6.94297i) q^{49} +(7.71357 + 13.2388i) q^{50} +(4.95686 + 3.95296i) q^{51} +(6.00161 + 8.65445i) q^{52} +(2.60542 + 11.4151i) q^{53} +(0.111277 + 1.40983i) q^{54} +(-1.23935 + 0.596837i) q^{55} +(-2.10132 - 7.18223i) q^{56} +(4.31138 + 2.07625i) q^{57} +(1.10187 - 2.84059i) q^{58} +(-2.99202 + 1.44088i) q^{59} +(7.38503 - 2.96623i) q^{60} +(-5.09500 - 1.16290i) q^{61} +(8.21763 + 1.20530i) q^{62} +(-0.463433 + 2.60485i) q^{63} +(5.13533 + 6.13420i) q^{64} +(-18.8791 + 9.09171i) q^{65} +(0.145950 + 0.466581i) q^{66} -9.75884i q^{67} +(-11.0312 - 6.25275i) q^{68} +(-8.08545 - 1.84545i) q^{69} +(14.7688 - 1.88723i) q^{70} +(-13.7640 + 3.14155i) q^{71} +(-0.662149 - 2.74983i) q^{72} +(-4.38715 + 3.49864i) q^{73} +(2.21499 - 5.71019i) q^{74} +(2.41086 + 10.5627i) q^{75} +(-9.16744 - 2.74834i) q^{76} +(0.0441855 + 0.913534i) q^{77} +(2.22328 + 7.10749i) q^{78} -6.54813i q^{79} +(-13.6565 + 8.17614i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(0.260007 - 0.384629i) q^{82} +(3.48060 + 4.36453i) q^{83} +(0.0980864 - 5.29059i) q^{84} +(15.7298 - 19.7245i) q^{85} +(0.728448 + 2.32874i) q^{86} +(1.34326 - 1.68439i) q^{87} +(-0.434681 - 0.875813i) q^{88} +(2.73247 - 2.17907i) q^{89} +(5.61004 - 0.442796i) q^{90} +(0.673084 + 13.9160i) q^{91} +(16.5497 + 1.10829i) q^{92} +(5.29131 + 2.54816i) q^{93} +(-2.08913 + 1.95391i) q^{94} +(8.26189 - 17.1560i) q^{95} +(2.17069 + 5.22380i) q^{96} +0.588002i q^{97} +(2.67267 - 9.53188i) q^{98} +0.345687i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{9}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.39924 0.205230i −0.989414 0.145119i
\(3\) −0.900969 0.433884i −0.520175 0.250503i
\(4\) 1.91576 + 0.574332i 0.957881 + 0.287166i
\(5\) −1.72652 + 3.58517i −0.772125 + 1.60333i 0.0251239 + 0.999684i \(0.492002\pi\)
−0.797249 + 0.603650i \(0.793712\pi\)
\(6\) 1.17163 + 0.792014i 0.478315 + 0.323338i
\(7\) 1.74761 + 1.98642i 0.660533 + 0.750797i
\(8\) −2.56275 1.19680i −0.906067 0.423133i
\(9\) 0.623490 + 0.781831i 0.207830 + 0.260610i
\(10\) 3.15161 4.66218i 0.996626 1.47431i
\(11\) 0.270269 + 0.215532i 0.0814892 + 0.0649854i 0.663387 0.748276i \(-0.269118\pi\)
−0.581898 + 0.813262i \(0.697690\pi\)
\(12\) −1.47685 1.34867i −0.426329 0.389328i
\(13\) 4.11705 + 3.28323i 1.14186 + 0.910605i 0.996888 0.0788298i \(-0.0251184\pi\)
0.144975 + 0.989435i \(0.453690\pi\)
\(14\) −2.03765 3.13815i −0.544586 0.838705i
\(15\) 3.11109 2.48101i 0.803280 0.640594i
\(16\) 3.34028 + 2.20057i 0.835071 + 0.550142i
\(17\) −6.18110 1.41080i −1.49914 0.342168i −0.607280 0.794488i \(-0.707740\pi\)
−0.891856 + 0.452319i \(0.850597\pi\)
\(18\) −0.711959 1.22193i −0.167810 0.288012i
\(19\) −4.78527 −1.09782 −0.548908 0.835882i \(-0.684956\pi\)
−0.548908 + 0.835882i \(0.684956\pi\)
\(20\) −5.36669 + 5.87672i −1.20003 + 1.31408i
\(21\) −0.712662 2.54796i −0.155516 0.556011i
\(22\) −0.333938 0.357049i −0.0711959 0.0761232i
\(23\) 8.08545 1.84545i 1.68593 0.384803i 0.731176 0.682189i \(-0.238972\pi\)
0.954757 + 0.297386i \(0.0961148\pi\)
\(24\) 1.78968 + 2.19021i 0.365317 + 0.447076i
\(25\) −6.75507 8.47059i −1.35101 1.69412i
\(26\) −5.08693 5.43898i −0.997629 1.06667i
\(27\) −0.222521 0.974928i −0.0428242 0.187625i
\(28\) 2.20713 + 4.80922i 0.417108 + 0.908857i
\(29\) −0.479403 + 2.10040i −0.0890230 + 0.390035i −0.999735 0.0230060i \(-0.992676\pi\)
0.910712 + 0.413041i \(0.135533\pi\)
\(30\) −4.86235 + 2.83305i −0.887739 + 0.517242i
\(31\) −5.87291 −1.05481 −0.527403 0.849615i \(-0.676834\pi\)
−0.527403 + 0.849615i \(0.676834\pi\)
\(32\) −4.22225 3.76465i −0.746395 0.665503i
\(33\) −0.149988 0.311453i −0.0261096 0.0542171i
\(34\) 8.35932 + 3.24259i 1.43361 + 0.556100i
\(35\) −10.1389 + 2.83585i −1.71379 + 0.479346i
\(36\) 0.745427 + 1.85589i 0.124238 + 0.309316i
\(37\) −0.963703 + 4.22226i −0.158432 + 0.694135i 0.831843 + 0.555011i \(0.187286\pi\)
−0.990275 + 0.139124i \(0.955571\pi\)
\(38\) 6.69576 + 0.982080i 1.08620 + 0.159314i
\(39\) −2.28479 4.74441i −0.365859 0.759714i
\(40\) 8.71538 7.12156i 1.37802 1.12602i
\(41\) −0.142438 + 0.295776i −0.0222451 + 0.0461924i −0.911795 0.410645i \(-0.865304\pi\)
0.889550 + 0.456837i \(0.151018\pi\)
\(42\) 0.474270 + 3.71148i 0.0731815 + 0.572693i
\(43\) −0.748601 1.55449i −0.114161 0.237057i 0.836058 0.548641i \(-0.184855\pi\)
−0.950219 + 0.311584i \(0.899140\pi\)
\(44\) 0.393984 + 0.568133i 0.0593953 + 0.0856492i
\(45\) −3.87947 + 0.885463i −0.578317 + 0.131997i
\(46\) −11.6923 + 0.922860i −1.72393 + 0.136068i
\(47\) 1.26110 1.58137i 0.183951 0.230667i −0.681303 0.732002i \(-0.738586\pi\)
0.865253 + 0.501335i \(0.167158\pi\)
\(48\) −2.05470 3.43194i −0.296571 0.495358i
\(49\) −0.891747 + 6.94297i −0.127392 + 0.991852i
\(50\) 7.71357 + 13.2388i 1.09086 + 1.87224i
\(51\) 4.95686 + 3.95296i 0.694099 + 0.553525i
\(52\) 6.00161 + 8.65445i 0.832274 + 1.20016i
\(53\) 2.60542 + 11.4151i 0.357882 + 1.56798i 0.758458 + 0.651721i \(0.225953\pi\)
−0.400576 + 0.916263i \(0.631190\pi\)
\(54\) 0.111277 + 1.40983i 0.0151428 + 0.191853i
\(55\) −1.23935 + 0.596837i −0.167113 + 0.0804775i
\(56\) −2.10132 7.18223i −0.280800 0.959766i
\(57\) 4.31138 + 2.07625i 0.571057 + 0.275006i
\(58\) 1.10187 2.84059i 0.144682 0.372987i
\(59\) −2.99202 + 1.44088i −0.389528 + 0.187587i −0.618389 0.785872i \(-0.712214\pi\)
0.228861 + 0.973459i \(0.426500\pi\)
\(60\) 7.38503 2.96623i 0.953403 0.382938i
\(61\) −5.09500 1.16290i −0.652348 0.148894i −0.116476 0.993193i \(-0.537160\pi\)
−0.535872 + 0.844299i \(0.680017\pi\)
\(62\) 8.21763 + 1.20530i 1.04364 + 0.153073i
\(63\) −0.463433 + 2.60485i −0.0583871 + 0.328180i
\(64\) 5.13533 + 6.13420i 0.641916 + 0.766775i
\(65\) −18.8791 + 9.09171i −2.34167 + 1.12769i
\(66\) 0.145950 + 0.466581i 0.0179652 + 0.0574321i
\(67\) 9.75884i 1.19223i −0.802898 0.596116i \(-0.796710\pi\)
0.802898 0.596116i \(-0.203290\pi\)
\(68\) −11.0312 6.25275i −1.33773 0.758258i
\(69\) −8.08545 1.84545i −0.973374 0.222166i
\(70\) 14.7688 1.88723i 1.76521 0.225567i
\(71\) −13.7640 + 3.14155i −1.63349 + 0.372833i −0.938254 0.345948i \(-0.887557\pi\)
−0.695236 + 0.718781i \(0.744700\pi\)
\(72\) −0.662149 2.74983i −0.0780350 0.324070i
\(73\) −4.38715 + 3.49864i −0.513477 + 0.409484i −0.845653 0.533733i \(-0.820789\pi\)
0.332176 + 0.943217i \(0.392217\pi\)
\(74\) 2.21499 5.71019i 0.257487 0.663796i
\(75\) 2.41086 + 10.5627i 0.278382 + 1.21967i
\(76\) −9.16744 2.74834i −1.05158 0.315256i
\(77\) 0.0441855 + 0.913534i 0.00503540 + 0.104107i
\(78\) 2.22328 + 7.10749i 0.251737 + 0.804765i
\(79\) 6.54813i 0.736722i −0.929683 0.368361i \(-0.879919\pi\)
0.929683 0.368361i \(-0.120081\pi\)
\(80\) −13.6565 + 8.17614i −1.52684 + 0.914120i
\(81\) −0.222521 + 0.974928i −0.0247245 + 0.108325i
\(82\) 0.260007 0.384629i 0.0287130 0.0424752i
\(83\) 3.48060 + 4.36453i 0.382046 + 0.479070i 0.935256 0.353971i \(-0.115169\pi\)
−0.553211 + 0.833041i \(0.686598\pi\)
\(84\) 0.0980864 5.29059i 0.0107021 0.577251i
\(85\) 15.7298 19.7245i 1.70613 2.13942i
\(86\) 0.728448 + 2.32874i 0.0785506 + 0.251114i
\(87\) 1.34326 1.68439i 0.144012 0.180586i
\(88\) −0.434681 0.875813i −0.0463372 0.0933620i
\(89\) 2.73247 2.17907i 0.289641 0.230981i −0.467880 0.883792i \(-0.654982\pi\)
0.757521 + 0.652811i \(0.226411\pi\)
\(90\) 5.61004 0.442796i 0.591350 0.0466748i
\(91\) 0.673084 + 13.9160i 0.0705583 + 1.45879i
\(92\) 16.5497 + 1.10829i 1.72543 + 0.115547i
\(93\) 5.29131 + 2.54816i 0.548684 + 0.264232i
\(94\) −2.08913 + 1.95391i −0.215477 + 0.201530i
\(95\) 8.26189 17.1560i 0.847652 1.76017i
\(96\) 2.17069 + 5.22380i 0.221545 + 0.533152i
\(97\) 0.588002i 0.0597026i 0.999554 + 0.0298513i \(0.00950337\pi\)
−0.999554 + 0.0298513i \(0.990497\pi\)
\(98\) 2.67267 9.53188i 0.269981 0.962866i
\(99\) 0.345687i 0.0347429i
\(100\) −8.07617 20.1073i −0.807617 2.01073i
\(101\) 1.83298 3.80622i 0.182388 0.378734i −0.789649 0.613559i \(-0.789737\pi\)
0.972038 + 0.234825i \(0.0754517\pi\)
\(102\) −6.12458 6.54845i −0.606424 0.648393i
\(103\) −8.65208 4.16662i −0.852515 0.410550i −0.0440045 0.999031i \(-0.514012\pi\)
−0.808511 + 0.588482i \(0.799726\pi\)
\(104\) −6.62156 13.3414i −0.649298 1.30823i
\(105\) 10.3653 + 1.84411i 1.01155 + 0.179967i
\(106\) −1.30290 16.5072i −0.126549 1.60332i
\(107\) 5.69457 4.54127i 0.550515 0.439021i −0.308313 0.951285i \(-0.599764\pi\)
0.858828 + 0.512264i \(0.171193\pi\)
\(108\) 0.133636 1.99553i 0.0128591 0.192020i
\(109\) −2.47170 + 3.09942i −0.236746 + 0.296870i −0.885985 0.463715i \(-0.846516\pi\)
0.649238 + 0.760585i \(0.275088\pi\)
\(110\) 1.85663 0.580770i 0.177023 0.0553742i
\(111\) 2.70024 3.38599i 0.256295 0.321384i
\(112\) 1.46624 + 10.4809i 0.138547 + 0.990356i
\(113\) 3.53505 + 4.43281i 0.332549 + 0.417004i 0.919791 0.392408i \(-0.128358\pi\)
−0.587242 + 0.809411i \(0.699786\pi\)
\(114\) −5.60656 3.79000i −0.525103 0.354966i
\(115\) −7.34348 + 32.1739i −0.684783 + 3.00023i
\(116\) −2.12475 + 3.74854i −0.197278 + 0.348043i
\(117\) 5.26590i 0.486833i
\(118\) 4.48227 1.40209i 0.412627 0.129073i
\(119\) −7.99969 14.7438i −0.733330 1.35156i
\(120\) −10.9422 + 2.63484i −0.998883 + 0.240527i
\(121\) −2.42114 10.6077i −0.220104 0.964337i
\(122\) 6.89048 + 2.67283i 0.623835 + 0.241986i
\(123\) 0.256664 0.204683i 0.0231427 0.0184556i
\(124\) −11.2511 3.37300i −1.01038 0.302905i
\(125\) 22.6340 5.16605i 2.02444 0.462066i
\(126\) 1.18305 3.54970i 0.105394 0.316233i
\(127\) 2.58261 + 0.589464i 0.229170 + 0.0523065i 0.335564 0.942018i \(-0.391073\pi\)
−0.106394 + 0.994324i \(0.533930\pi\)
\(128\) −5.92666 9.63715i −0.523847 0.851812i
\(129\) 1.72535i 0.151909i
\(130\) 28.2824 8.84695i 2.48053 0.775929i
\(131\) −7.70866 + 3.71230i −0.673509 + 0.324345i −0.739191 0.673496i \(-0.764792\pi\)
0.0656822 + 0.997841i \(0.479078\pi\)
\(132\) −0.108464 0.682813i −0.00944054 0.0594313i
\(133\) −8.36277 9.50557i −0.725144 0.824238i
\(134\) −2.00280 + 13.6550i −0.173016 + 1.17961i
\(135\) 3.87947 + 0.885463i 0.333891 + 0.0762085i
\(136\) 14.1521 + 11.0131i 1.21354 + 0.944362i
\(137\) 20.5246 9.88414i 1.75354 0.844459i 0.776881 0.629647i \(-0.216801\pi\)
0.976656 0.214811i \(-0.0689137\pi\)
\(138\) 10.9348 + 4.24161i 0.930829 + 0.361070i
\(139\) 13.1270 + 6.32161i 1.11341 + 0.536192i 0.897851 0.440298i \(-0.145127\pi\)
0.215562 + 0.976490i \(0.430842\pi\)
\(140\) −21.0525 0.390309i −1.77926 0.0329871i
\(141\) −1.82234 + 0.877595i −0.153469 + 0.0739068i
\(142\) 19.9040 1.57100i 1.67030 0.131836i
\(143\) 0.405067 + 1.77471i 0.0338734 + 0.148409i
\(144\) 0.362160 + 3.98357i 0.0301800 + 0.331964i
\(145\) −6.70259 5.34514i −0.556620 0.443890i
\(146\) 6.85671 3.99507i 0.567466 0.330634i
\(147\) 3.81588 5.86848i 0.314728 0.484024i
\(148\) −4.27121 + 7.53536i −0.351091 + 0.619403i
\(149\) −13.4569 + 16.8744i −1.10243 + 1.38241i −0.185840 + 0.982580i \(0.559501\pi\)
−0.916591 + 0.399825i \(0.869071\pi\)
\(150\) −1.20560 15.2745i −0.0984372 1.24716i
\(151\) −1.36341 + 0.311190i −0.110953 + 0.0253243i −0.277637 0.960686i \(-0.589551\pi\)
0.166684 + 0.986010i \(0.446694\pi\)
\(152\) 12.2634 + 5.72702i 0.994696 + 0.464523i
\(153\) −2.75085 5.71219i −0.222393 0.461803i
\(154\) 0.125658 1.28732i 0.0101258 0.103736i
\(155\) 10.1397 21.0554i 0.814443 1.69121i
\(156\) −1.65224 10.4014i −0.132285 0.832778i
\(157\) 5.83034 + 12.1068i 0.465312 + 0.966230i 0.993146 + 0.116882i \(0.0372900\pi\)
−0.527834 + 0.849347i \(0.676996\pi\)
\(158\) −1.34387 + 9.16242i −0.106913 + 0.728923i
\(159\) 2.60542 11.4151i 0.206623 0.905276i
\(160\) 20.7867 8.63769i 1.64333 0.682869i
\(161\) 17.7960 + 12.8360i 1.40252 + 1.01162i
\(162\) 0.511445 1.31849i 0.0401829 0.103591i
\(163\) 2.87425 + 5.96844i 0.225128 + 0.467484i 0.982685 0.185286i \(-0.0593211\pi\)
−0.757556 + 0.652770i \(0.773607\pi\)
\(164\) −0.442751 + 0.484829i −0.0345730 + 0.0378588i
\(165\) 1.37557 0.107088
\(166\) −3.97447 6.82137i −0.308479 0.529441i
\(167\) −0.938344 + 4.11115i −0.0726112 + 0.318131i −0.998170 0.0604739i \(-0.980739\pi\)
0.925559 + 0.378605i \(0.123596\pi\)
\(168\) −1.22303 + 7.38270i −0.0943591 + 0.569587i
\(169\) 3.27767 + 14.3604i 0.252128 + 1.10465i
\(170\) −26.0578 + 24.3711i −1.99854 + 1.86918i
\(171\) −2.98357 3.74128i −0.228159 0.286103i
\(172\) −0.541350 3.40797i −0.0412775 0.259855i
\(173\) 16.1267 3.68082i 1.22609 0.279848i 0.440024 0.897986i \(-0.354970\pi\)
0.786069 + 0.618138i \(0.212113\pi\)
\(174\) −2.22523 + 2.08120i −0.168694 + 0.157775i
\(175\) 5.02097 28.2217i 0.379550 2.13336i
\(176\) 0.428482 + 1.31468i 0.0322980 + 0.0990981i
\(177\) 3.32089 0.249613
\(178\) −4.27060 + 2.48826i −0.320095 + 0.186503i
\(179\) −6.29511 1.43682i −0.470518 0.107393i −0.0193141 0.999813i \(-0.506148\pi\)
−0.451204 + 0.892421i \(0.649005\pi\)
\(180\) −7.94068 0.531767i −0.591863 0.0396356i
\(181\) 15.8663 12.6529i 1.17933 0.940486i 0.180263 0.983619i \(-0.442305\pi\)
0.999069 + 0.0431326i \(0.0137338\pi\)
\(182\) 1.91417 19.6100i 0.141888 1.45359i
\(183\) 4.08587 + 3.25838i 0.302036 + 0.240866i
\(184\) −22.9296 4.94726i −1.69039 0.364717i
\(185\) −13.4736 10.7449i −0.990602 0.789979i
\(186\) −6.88087 4.65143i −0.504530 0.341060i
\(187\) −1.36649 1.71352i −0.0999274 0.125305i
\(188\) 3.32420 2.30524i 0.242442 0.168127i
\(189\) 1.54774 2.14581i 0.112581 0.156085i
\(190\) −15.0813 + 22.3098i −1.09411 + 1.61852i
\(191\) 2.38578 4.95412i 0.172629 0.358468i −0.796647 0.604445i \(-0.793395\pi\)
0.969275 + 0.245978i \(0.0791090\pi\)
\(192\) −1.96525 7.75486i −0.141829 0.559659i
\(193\) −7.48927 3.60664i −0.539089 0.259612i 0.144467 0.989510i \(-0.453853\pi\)
−0.683556 + 0.729898i \(0.739568\pi\)
\(194\) 0.120675 0.822758i 0.00866400 0.0590706i
\(195\) 20.9542 1.50056
\(196\) −5.69595 + 12.7889i −0.406853 + 0.913494i
\(197\) −5.32414 −0.379329 −0.189665 0.981849i \(-0.560740\pi\)
−0.189665 + 0.981849i \(0.560740\pi\)
\(198\) 0.0709452 0.483700i 0.00504186 0.0343751i
\(199\) −9.89297 4.76421i −0.701294 0.337726i 0.0490283 0.998797i \(-0.484388\pi\)
−0.750323 + 0.661072i \(0.770102\pi\)
\(200\) 7.17392 + 29.7925i 0.507272 + 2.10665i
\(201\) −4.23420 + 8.79241i −0.298657 + 0.620169i
\(202\) −3.34594 + 4.94965i −0.235419 + 0.348256i
\(203\) −5.01010 + 2.71838i −0.351640 + 0.190793i
\(204\) 7.22584 + 10.4198i 0.505910 + 0.729533i
\(205\) −0.814482 1.02133i −0.0568859 0.0713326i
\(206\) 11.2513 + 7.60578i 0.783912 + 0.529920i
\(207\) 6.48403 + 5.17084i 0.450671 + 0.359398i
\(208\) 6.52713 + 20.0268i 0.452575 + 1.38861i
\(209\) −1.29331 1.03138i −0.0894602 0.0713421i
\(210\) −14.1251 4.70762i −0.974725 0.324857i
\(211\) −5.52743 + 4.40798i −0.380524 + 0.303458i −0.795008 0.606599i \(-0.792533\pi\)
0.414484 + 0.910057i \(0.363962\pi\)
\(212\) −1.56469 + 23.3650i −0.107464 + 1.60471i
\(213\) 13.7640 + 3.14155i 0.943096 + 0.215255i
\(214\) −8.90010 + 5.18565i −0.608398 + 0.354483i
\(215\) 6.86557 0.468228
\(216\) −0.596531 + 2.76481i −0.0405888 + 0.188121i
\(217\) −10.2635 11.6661i −0.696735 0.791946i
\(218\) 4.09461 3.82957i 0.277322 0.259371i
\(219\) 5.47069 1.24865i 0.369675 0.0843758i
\(220\) −2.71707 + 0.431602i −0.183185 + 0.0290986i
\(221\) −20.8159 26.1023i −1.40023 1.75583i
\(222\) −4.47319 + 4.18365i −0.300221 + 0.280788i
\(223\) 4.08108 + 17.8804i 0.273289 + 1.19736i 0.906104 + 0.423055i \(0.139042\pi\)
−0.632815 + 0.774303i \(0.718101\pi\)
\(224\) 0.0993679 14.9663i 0.00663930 0.999978i
\(225\) 2.41086 10.5627i 0.160724 0.704177i
\(226\) −4.03665 6.92807i −0.268514 0.460849i
\(227\) 2.58979 0.171891 0.0859453 0.996300i \(-0.472609\pi\)
0.0859453 + 0.996300i \(0.472609\pi\)
\(228\) 7.06712 + 6.45377i 0.468032 + 0.427411i
\(229\) 7.73489 + 16.0617i 0.511136 + 1.06139i 0.983655 + 0.180065i \(0.0576307\pi\)
−0.472519 + 0.881321i \(0.656655\pi\)
\(230\) 16.8784 43.5120i 1.11293 2.86910i
\(231\) 0.356558 0.842237i 0.0234598 0.0554151i
\(232\) 3.74236 4.80905i 0.245698 0.315730i
\(233\) 4.36457 19.1224i 0.285933 1.25275i −0.604120 0.796894i \(-0.706475\pi\)
0.890052 0.455859i \(-0.150668\pi\)
\(234\) 1.08072 7.36827i 0.0706488 0.481679i
\(235\) 3.49215 + 7.25153i 0.227803 + 0.473038i
\(236\) −6.55954 + 1.04197i −0.426990 + 0.0678265i
\(237\) −2.84113 + 5.89966i −0.184551 + 0.383224i
\(238\) 8.16765 + 22.2719i 0.529430 + 1.44367i
\(239\) 7.80463 + 16.2065i 0.504840 + 1.04831i 0.985227 + 0.171254i \(0.0547818\pi\)
−0.480387 + 0.877057i \(0.659504\pi\)
\(240\) 15.8516 1.44112i 1.02321 0.0930239i
\(241\) −4.75615 + 1.08556i −0.306371 + 0.0699272i −0.372942 0.927855i \(-0.621651\pi\)
0.0665715 + 0.997782i \(0.478794\pi\)
\(242\) 1.21075 + 15.3396i 0.0778297 + 0.986070i
\(243\) 0.623490 0.781831i 0.0399969 0.0501545i
\(244\) −9.09292 5.15407i −0.582114 0.329955i
\(245\) −23.3521 15.1843i −1.49191 0.970087i
\(246\) −0.401143 + 0.233726i −0.0255759 + 0.0149018i
\(247\) −19.7012 15.7112i −1.25356 0.999678i
\(248\) 15.0508 + 7.02871i 0.955726 + 0.446324i
\(249\) −1.24221 5.44249i −0.0787220 0.344904i
\(250\) −32.7306 + 2.58340i −2.07007 + 0.163389i
\(251\) −12.9777 + 6.24973i −0.819144 + 0.394479i −0.796033 0.605254i \(-0.793072\pi\)
−0.0231118 + 0.999733i \(0.507357\pi\)
\(252\) −2.38388 + 4.72410i −0.150170 + 0.297590i
\(253\) 2.58300 + 1.24391i 0.162392 + 0.0782038i
\(254\) −3.49273 1.35483i −0.219153 0.0850098i
\(255\) −22.7302 + 10.9463i −1.42342 + 0.685482i
\(256\) 6.31500 + 14.7010i 0.394688 + 0.918815i
\(257\) 25.4740 + 5.81428i 1.58903 + 0.362685i 0.923473 0.383664i \(-0.125338\pi\)
0.665554 + 0.746349i \(0.268195\pi\)
\(258\) 0.354093 2.41418i 0.0220449 0.150300i
\(259\) −10.0714 + 5.46453i −0.625804 + 0.339549i
\(260\) −41.3896 + 6.57465i −2.56687 + 0.407742i
\(261\) −1.94106 + 0.934768i −0.120149 + 0.0578607i
\(262\) 11.5482 3.61236i 0.713448 0.223172i
\(263\) 16.1345i 0.994897i 0.867493 + 0.497449i \(0.165730\pi\)
−0.867493 + 0.497449i \(0.834270\pi\)
\(264\) 0.0116333 + 0.977681i 0.000715980 + 0.0601721i
\(265\) −45.4234 10.3676i −2.79033 0.636876i
\(266\) 9.75072 + 15.0169i 0.597855 + 0.920745i
\(267\) −3.40733 + 0.777701i −0.208525 + 0.0475945i
\(268\) 5.60482 18.6956i 0.342369 1.14202i
\(269\) 1.74798 1.39397i 0.106576 0.0849916i −0.568752 0.822509i \(-0.692574\pi\)
0.675328 + 0.737518i \(0.264002\pi\)
\(270\) −5.24659 2.03516i −0.319297 0.123856i
\(271\) 3.80605 + 16.6754i 0.231201 + 1.01296i 0.948645 + 0.316342i \(0.102455\pi\)
−0.717444 + 0.696616i \(0.754688\pi\)
\(272\) −17.5421 18.3144i −1.06364 1.11047i
\(273\) 5.43150 12.8299i 0.328729 0.776502i
\(274\) −30.7474 + 9.61805i −1.85752 + 0.581047i
\(275\) 3.74528i 0.225849i
\(276\) −14.4299 8.17918i −0.868577 0.492329i
\(277\) −4.98991 + 21.8622i −0.299814 + 1.31357i 0.570590 + 0.821235i \(0.306715\pi\)
−0.870404 + 0.492338i \(0.836143\pi\)
\(278\) −17.0704 11.5395i −1.02382 0.692093i
\(279\) −3.66170 4.59163i −0.219220 0.274894i
\(280\) 29.3775 + 4.86674i 1.75564 + 0.290843i
\(281\) −10.3347 + 12.9593i −0.616518 + 0.773089i −0.987850 0.155411i \(-0.950330\pi\)
0.371332 + 0.928500i \(0.378901\pi\)
\(282\) 2.73001 0.853969i 0.162570 0.0508531i
\(283\) 1.47139 1.84506i 0.0874649 0.109677i −0.736173 0.676793i \(-0.763369\pi\)
0.823638 + 0.567115i \(0.191941\pi\)
\(284\) −28.1729 1.88667i −1.67175 0.111953i
\(285\) −14.8874 + 11.8723i −0.881854 + 0.703255i
\(286\) −0.202563 2.56639i −0.0119778 0.151754i
\(287\) −0.836461 + 0.233957i −0.0493747 + 0.0138101i
\(288\) 0.310797 5.64831i 0.0183139 0.332830i
\(289\) 20.8992 + 10.0645i 1.22936 + 0.592030i
\(290\) 8.28157 + 8.85472i 0.486311 + 0.519967i
\(291\) 0.255125 0.529772i 0.0149557 0.0310558i
\(292\) −10.4141 + 4.18287i −0.609440 + 0.244784i
\(293\) 0.918750i 0.0536739i 0.999640 + 0.0268370i \(0.00854350\pi\)
−0.999640 + 0.0268370i \(0.991457\pi\)
\(294\) −6.54373 + 7.42830i −0.381638 + 0.433227i
\(295\) 13.2146i 0.769384i
\(296\) 7.52293 9.66722i 0.437262 0.561896i
\(297\) 0.149988 0.311453i 0.00870319 0.0180724i
\(298\) 22.2926 20.8496i 1.29137 1.20779i
\(299\) 39.3472 + 18.9486i 2.27551 + 1.09583i
\(300\) −1.44785 + 21.6202i −0.0835915 + 1.24824i
\(301\) 1.77961 4.20367i 0.102575 0.242295i
\(302\) 1.97161 0.155618i 0.113453 0.00895478i
\(303\) −3.30292 + 2.63399i −0.189748 + 0.151319i
\(304\) −15.9842 10.5303i −0.916755 0.603955i
\(305\) 12.9658 16.2586i 0.742422 0.930967i
\(306\) 2.67679 + 8.55730i 0.153022 + 0.489188i
\(307\) −12.4580 + 15.6218i −0.711014 + 0.891583i −0.997792 0.0664136i \(-0.978844\pi\)
0.286778 + 0.957997i \(0.407416\pi\)
\(308\) −0.440023 + 1.77549i −0.0250727 + 0.101168i
\(309\) 5.98743 + 7.50800i 0.340613 + 0.427115i
\(310\) −18.5091 + 27.3806i −1.05125 + 1.55511i
\(311\) 1.22807 5.38052i 0.0696374 0.305101i −0.928100 0.372331i \(-0.878559\pi\)
0.997738 + 0.0672293i \(0.0214159\pi\)
\(312\) 0.177212 + 14.8932i 0.0100326 + 0.843159i
\(313\) 6.53125i 0.369168i −0.982817 0.184584i \(-0.940906\pi\)
0.982817 0.184584i \(-0.0590938\pi\)
\(314\) −5.67338 18.1369i −0.320167 1.02353i
\(315\) −8.53868 6.15882i −0.481100 0.347010i
\(316\) 3.76080 12.5446i 0.211562 0.705692i
\(317\) 1.75883 + 7.70595i 0.0987859 + 0.432809i 1.00000 0.000565145i \(-0.000179891\pi\)
−0.901214 + 0.433374i \(0.857323\pi\)
\(318\) −5.98834 + 15.4378i −0.335809 + 0.865708i
\(319\) −0.582273 + 0.464347i −0.0326010 + 0.0259984i
\(320\) −30.8584 + 7.82017i −1.72504 + 0.437161i
\(321\) −7.10102 + 1.62076i −0.396340 + 0.0904621i
\(322\) −22.2666 21.6130i −1.24087 1.20444i
\(323\) 29.5782 + 6.75104i 1.64578 + 0.375638i
\(324\) −0.986230 + 1.73993i −0.0547905 + 0.0966627i
\(325\) 57.0523i 3.16469i
\(326\) −2.79687 8.94117i −0.154904 0.495206i
\(327\) 3.57172 1.72005i 0.197516 0.0951189i
\(328\) 0.719017 0.587528i 0.0397011 0.0324408i
\(329\) 5.34518 0.258534i 0.294689 0.0142534i
\(330\) −1.92476 0.282308i −0.105954 0.0155405i
\(331\) 15.0558 + 3.43638i 0.827539 + 0.188880i 0.615256 0.788328i \(-0.289053\pi\)
0.212283 + 0.977208i \(0.431910\pi\)
\(332\) 4.16131 + 10.3604i 0.228381 + 0.568602i
\(333\) −3.90196 + 1.87908i −0.213826 + 0.102973i
\(334\) 2.15670 5.55993i 0.118009 0.304226i
\(335\) 34.9870 + 16.8489i 1.91155 + 0.920552i
\(336\) 3.22647 10.0792i 0.176018 0.549864i
\(337\) 15.7357 7.57793i 0.857181 0.412796i 0.0469427 0.998898i \(-0.485052\pi\)
0.810238 + 0.586101i \(0.199338\pi\)
\(338\) −1.63907 20.7664i −0.0891538 1.12954i
\(339\) −1.26164 5.52762i −0.0685231 0.300219i
\(340\) 41.4629 28.7533i 2.24864 1.55937i
\(341\) −1.58727 1.26580i −0.0859553 0.0685471i
\(342\) 3.40692 + 5.84727i 0.184225 + 0.316184i
\(343\) −15.3501 + 10.3622i −0.828827 + 0.559505i
\(344\) 0.0580627 + 4.87968i 0.00313053 + 0.263095i
\(345\) 20.5760 25.8015i 1.10777 1.38910i
\(346\) −23.3206 + 1.84068i −1.25373 + 0.0989555i
\(347\) 2.68952 0.613866i 0.144381 0.0329540i −0.149720 0.988729i \(-0.547837\pi\)
0.294101 + 0.955774i \(0.404980\pi\)
\(348\) 3.54076 2.45542i 0.189805 0.131624i
\(349\) 8.54810 + 17.7503i 0.457569 + 0.950153i 0.994322 + 0.106413i \(0.0339365\pi\)
−0.536753 + 0.843740i \(0.680349\pi\)
\(350\) −12.8175 + 38.4585i −0.685123 + 2.05570i
\(351\) 2.28479 4.74441i 0.121953 0.253238i
\(352\) −0.329738 1.92750i −0.0175751 0.102736i
\(353\) 13.7871 + 28.6292i 0.733813 + 1.52378i 0.847812 + 0.530297i \(0.177920\pi\)
−0.113999 + 0.993481i \(0.536366\pi\)
\(354\) −4.64673 0.681546i −0.246971 0.0362237i
\(355\) 12.5010 54.7703i 0.663482 2.90691i
\(356\) 6.48627 2.60523i 0.343771 0.138077i
\(357\) 0.810382 + 16.7546i 0.0428899 + 0.886749i
\(358\) 8.51351 + 3.30240i 0.449953 + 0.174537i
\(359\) 8.21970 + 17.0684i 0.433819 + 0.900834i 0.997210 + 0.0746441i \(0.0237821\pi\)
−0.563391 + 0.826190i \(0.690504\pi\)
\(360\) 11.0018 + 2.37373i 0.579846 + 0.125107i
\(361\) 3.89884 0.205202
\(362\) −24.7976 + 14.4483i −1.30333 + 0.759386i
\(363\) −2.42114 + 10.6077i −0.127077 + 0.556760i
\(364\) −6.70294 + 27.0463i −0.351329 + 1.41761i
\(365\) −4.96866 21.7691i −0.260072 1.13945i
\(366\) −5.04841 5.39780i −0.263885 0.282148i
\(367\) 17.7979 + 22.3178i 0.929042 + 1.16498i 0.986023 + 0.166607i \(0.0532811\pi\)
−0.0569811 + 0.998375i \(0.518147\pi\)
\(368\) 31.0687 + 11.6282i 1.61957 + 0.606164i
\(369\) −0.320055 + 0.0730505i −0.0166614 + 0.00380286i
\(370\) 16.6477 + 17.7999i 0.865474 + 0.925372i
\(371\) −18.1220 + 25.1246i −0.940845 + 1.30440i
\(372\) 8.67340 + 7.92064i 0.449695 + 0.410666i
\(373\) −16.1299 −0.835174 −0.417587 0.908637i \(-0.637124\pi\)
−0.417587 + 0.908637i \(0.637124\pi\)
\(374\) 1.56038 + 2.67808i 0.0806854 + 0.138480i
\(375\) −22.6340 5.16605i −1.16881 0.266774i
\(376\) −5.12447 + 2.54336i −0.264274 + 0.131164i
\(377\) −8.86984 + 7.07346i −0.456820 + 0.364302i
\(378\) −2.60605 + 2.68487i −0.134041 + 0.138095i
\(379\) 13.0011 + 10.3680i 0.667821 + 0.532569i 0.897676 0.440655i \(-0.145254\pi\)
−0.229855 + 0.973225i \(0.573825\pi\)
\(380\) 25.6811 28.1217i 1.31741 1.44261i
\(381\) −2.07109 1.65164i −0.106105 0.0846162i
\(382\) −4.35502 + 6.44239i −0.222822 + 0.329621i
\(383\) −14.3040 17.9366i −0.730900 0.916519i 0.268000 0.963419i \(-0.413637\pi\)
−0.998900 + 0.0468997i \(0.985066\pi\)
\(384\) 1.15833 + 11.2543i 0.0591108 + 0.574316i
\(385\) −3.35146 1.41883i −0.170806 0.0723101i
\(386\) 9.73911 + 6.58359i 0.495708 + 0.335096i
\(387\) 0.748601 1.55449i 0.0380535 0.0790190i
\(388\) −0.337709 + 1.12647i −0.0171446 + 0.0571879i
\(389\) 21.7424 + 10.4706i 1.10238 + 0.530880i 0.894407 0.447254i \(-0.147598\pi\)
0.207976 + 0.978134i \(0.433312\pi\)
\(390\) −29.3201 4.30043i −1.48468 0.217761i
\(391\) −52.5805 −2.65911
\(392\) 10.5947 16.7258i 0.535112 0.844781i
\(393\) 8.55597 0.431591
\(394\) 7.44977 + 1.09267i 0.375314 + 0.0550480i
\(395\) 23.4761 + 11.3055i 1.18121 + 0.568842i
\(396\) −0.198539 + 0.662254i −0.00997697 + 0.0332795i
\(397\) 6.88721 14.3014i 0.345659 0.717769i −0.653576 0.756860i \(-0.726732\pi\)
0.999236 + 0.0390919i \(0.0124465\pi\)
\(398\) 12.8649 + 8.69661i 0.644860 + 0.435922i
\(399\) 3.41028 + 12.1927i 0.170728 + 0.610398i
\(400\) −3.92375 43.1592i −0.196188 2.15796i
\(401\) −12.9884 16.2870i −0.648610 0.813332i 0.343440 0.939175i \(-0.388408\pi\)
−0.992050 + 0.125843i \(0.959836\pi\)
\(402\) 7.72914 11.4337i 0.385494 0.570263i
\(403\) −24.1791 19.2822i −1.20444 0.960513i
\(404\) 5.69759 6.23908i 0.283466 0.310406i
\(405\) −3.11109 2.48101i −0.154591 0.123282i
\(406\) 7.56824 2.77545i 0.375605 0.137743i
\(407\) −1.17049 + 0.933437i −0.0580192 + 0.0462687i
\(408\) −7.97225 16.0628i −0.394685 0.795227i
\(409\) 26.1604 + 5.97094i 1.29355 + 0.295244i 0.813277 0.581876i \(-0.197681\pi\)
0.480271 + 0.877120i \(0.340538\pi\)
\(410\) 0.930051 + 1.59624i 0.0459319 + 0.0788327i
\(411\) −22.7806 −1.12368
\(412\) −14.1823 12.9514i −0.698712 0.638071i
\(413\) −8.09107 3.42532i −0.398136 0.168549i
\(414\) −8.01152 8.56598i −0.393745 0.420995i
\(415\) −21.6569 + 4.94305i −1.06310 + 0.242645i
\(416\) −5.02295 29.3619i −0.246270 1.43958i
\(417\) −9.08413 11.3911i −0.444852 0.557827i
\(418\) 1.59799 + 1.70858i 0.0781601 + 0.0835693i
\(419\) 0.0400575 + 0.175503i 0.00195694 + 0.00857389i 0.975897 0.218232i \(-0.0700289\pi\)
−0.973940 + 0.226806i \(0.927172\pi\)
\(420\) 18.7983 + 9.48600i 0.917263 + 0.462869i
\(421\) −0.768503 + 3.36703i −0.0374546 + 0.164099i −0.990196 0.139682i \(-0.955392\pi\)
0.952742 + 0.303781i \(0.0982491\pi\)
\(422\) 8.63887 5.03344i 0.420533 0.245024i
\(423\) 2.02265 0.0983446
\(424\) 6.98458 32.3722i 0.339201 1.57213i
\(425\) 29.8035 + 61.8876i 1.44568 + 3.00199i
\(426\) −18.6145 7.22058i −0.901875 0.349838i
\(427\) −6.59404 12.1531i −0.319108 0.588131i
\(428\) 13.5176 5.42942i 0.653400 0.262441i
\(429\) 0.405067 1.77471i 0.0195568 0.0856840i
\(430\) −9.60660 1.40902i −0.463271 0.0679489i
\(431\) −3.90879 8.11670i −0.188280 0.390967i 0.785366 0.619032i \(-0.212475\pi\)
−0.973646 + 0.228064i \(0.926760\pi\)
\(432\) 1.40211 3.74621i 0.0674591 0.180240i
\(433\) −13.5638 + 28.1655i −0.651834 + 1.35355i 0.268829 + 0.963188i \(0.413363\pi\)
−0.920663 + 0.390359i \(0.872351\pi\)
\(434\) 11.9670 + 18.4301i 0.574432 + 0.884672i
\(435\) 3.71966 + 7.72395i 0.178344 + 0.370335i
\(436\) −6.51529 + 4.51817i −0.312026 + 0.216381i
\(437\) −38.6911 + 8.83099i −1.85085 + 0.422443i
\(438\) −7.91108 + 0.624415i −0.378006 + 0.0298357i
\(439\) 15.0884 18.9203i 0.720132 0.903017i −0.278213 0.960519i \(-0.589742\pi\)
0.998345 + 0.0575019i \(0.0183135\pi\)
\(440\) 3.89042 0.0462916i 0.185469 0.00220687i
\(441\) −5.98423 + 3.63167i −0.284963 + 0.172937i
\(442\) 23.7695 + 40.7955i 1.13060 + 1.94044i
\(443\) 12.1444 + 9.68482i 0.576997 + 0.460140i 0.867987 0.496586i \(-0.165413\pi\)
−0.290991 + 0.956726i \(0.593985\pi\)
\(444\) 7.11769 4.93592i 0.337791 0.234248i
\(445\) 3.09465 + 13.5586i 0.146701 + 0.642738i
\(446\) −2.04084 25.8565i −0.0966364 1.22434i
\(447\) 19.4458 9.36459i 0.919753 0.442930i
\(448\) −3.21057 + 20.9211i −0.151685 + 0.988429i
\(449\) −13.1881 6.35106i −0.622386 0.299725i 0.0959880 0.995382i \(-0.469399\pi\)
−0.718374 + 0.695657i \(0.755113\pi\)
\(450\) −5.54115 + 14.2849i −0.261212 + 0.673399i
\(451\) −0.102246 + 0.0492390i −0.00481457 + 0.00231857i
\(452\) 4.22640 + 10.5225i 0.198793 + 0.494937i
\(453\) 1.36341 + 0.311190i 0.0640586 + 0.0146210i
\(454\) −3.62375 0.531502i −0.170071 0.0249446i
\(455\) −51.0532 21.6132i −2.39341 1.01324i
\(456\) −8.56411 10.4808i −0.401051 0.490807i
\(457\) −16.6237 + 8.00557i −0.777626 + 0.374485i −0.780215 0.625512i \(-0.784890\pi\)
0.00258885 + 0.999997i \(0.499176\pi\)
\(458\) −7.52666 24.0616i −0.351698 1.12433i
\(459\) 6.34006i 0.295929i
\(460\) −32.5469 + 57.4199i −1.51751 + 2.67722i
\(461\) −5.93440 1.35449i −0.276393 0.0630848i 0.0820778 0.996626i \(-0.473844\pi\)
−0.358470 + 0.933541i \(0.616702\pi\)
\(462\) −0.671763 + 1.10532i −0.0312532 + 0.0514240i
\(463\) 37.0055 8.44627i 1.71979 0.392532i 0.755038 0.655681i \(-0.227618\pi\)
0.964755 + 0.263149i \(0.0847612\pi\)
\(464\) −6.22342 + 5.96099i −0.288915 + 0.276732i
\(465\) −18.2712 + 14.5708i −0.847305 + 0.675703i
\(466\) −10.0316 + 25.8612i −0.464704 + 1.19800i
\(467\) −6.30784 27.6365i −0.291892 1.27886i −0.881889 0.471457i \(-0.843728\pi\)
0.589997 0.807406i \(-0.299129\pi\)
\(468\) −3.02438 + 10.0882i −0.139802 + 0.466328i
\(469\) 19.3852 17.0546i 0.895124 0.787508i
\(470\) −3.39814 10.8634i −0.156745 0.501089i
\(471\) 13.4376i 0.619170i
\(472\) 9.39223 0.111757i 0.432313 0.00514403i
\(473\) 0.132718 0.581477i 0.00610240 0.0267364i
\(474\) 5.18621 7.67197i 0.238211 0.352385i
\(475\) 32.3249 + 40.5341i 1.48317 + 1.85983i
\(476\) −6.85766 32.8401i −0.314320 1.50522i
\(477\) −7.30023 + 9.15420i −0.334255 + 0.419142i
\(478\) −7.59452 24.2786i −0.347365 1.11048i
\(479\) 5.31028 6.65888i 0.242633 0.304252i −0.645572 0.763699i \(-0.723381\pi\)
0.888205 + 0.459447i \(0.151952\pi\)
\(480\) −22.4759 1.23673i −1.02588 0.0564489i
\(481\) −17.8303 + 14.2192i −0.812991 + 0.648339i
\(482\) 6.87781 0.542860i 0.313275 0.0247266i
\(483\) −10.4643 19.2862i −0.476144 0.877554i
\(484\) 1.45402 21.7124i 0.0660919 0.986926i
\(485\) −2.10808 1.01520i −0.0957232 0.0460979i
\(486\) −1.03287 + 0.966014i −0.0468519 + 0.0438193i
\(487\) 0.00748534 0.0155435i 0.000339193 0.000704342i −0.900799 0.434236i \(-0.857018\pi\)
0.901138 + 0.433532i \(0.142733\pi\)
\(488\) 11.6654 + 9.07793i 0.528069 + 0.410938i
\(489\) 6.62447i 0.299569i
\(490\) 29.5589 + 26.0390i 1.33534 + 1.17632i
\(491\) 23.0765i 1.04143i 0.853731 + 0.520714i \(0.174334\pi\)
−0.853731 + 0.520714i \(0.825666\pi\)
\(492\) 0.609264 0.244713i 0.0274677 0.0110325i
\(493\) 5.92648 12.3065i 0.266915 0.554255i
\(494\) 24.3424 + 26.0270i 1.09521 + 1.17101i
\(495\) −1.23935 0.596837i −0.0557044 0.0268258i
\(496\) −19.6172 12.9237i −0.880839 0.580293i
\(497\) −30.2945 21.8510i −1.35890 0.980151i
\(498\) 0.621197 + 7.87030i 0.0278365 + 0.352677i
\(499\) 11.2076 8.93779i 0.501723 0.400110i −0.339662 0.940548i \(-0.610313\pi\)
0.841384 + 0.540437i \(0.181741\pi\)
\(500\) 46.3283 + 3.10249i 2.07186 + 0.138747i
\(501\) 2.62918 3.29689i 0.117463 0.147294i
\(502\) 19.4416 6.08148i 0.867720 0.271430i
\(503\) 12.4030 15.5529i 0.553024 0.693470i −0.424227 0.905556i \(-0.639454\pi\)
0.977251 + 0.212086i \(0.0680256\pi\)
\(504\) 4.30515 6.12092i 0.191766 0.272648i
\(505\) 10.4813 + 13.1431i 0.466410 + 0.584859i
\(506\) −3.35896 2.27064i −0.149324 0.100942i
\(507\) 3.27767 14.3604i 0.145566 0.637768i
\(508\) 4.60912 + 2.61255i 0.204497 + 0.115913i
\(509\) 39.9445i 1.77051i −0.465107 0.885254i \(-0.653984\pi\)
0.465107 0.885254i \(-0.346016\pi\)
\(510\) 34.0515 10.6516i 1.50783 0.471660i
\(511\) −14.6168 2.60050i −0.646608 0.115039i
\(512\) −5.81913 21.8664i −0.257172 0.966366i
\(513\) 1.06482 + 4.66530i 0.0470131 + 0.205978i
\(514\) −34.4511 13.3636i −1.51957 0.589444i
\(515\) 29.8761 23.8254i 1.31650 1.04987i
\(516\) −0.990924 + 3.30536i −0.0436230 + 0.145510i
\(517\) 0.681673 0.155587i 0.0299800 0.00684273i
\(518\) 15.2138 5.57926i 0.668455 0.245138i
\(519\) −16.1267 3.68082i −0.707885 0.161570i
\(520\) 59.2634 0.705167i 2.59887 0.0309236i
\(521\) 5.57882i 0.244413i −0.992505 0.122206i \(-0.961003\pi\)
0.992505 0.122206i \(-0.0389969\pi\)
\(522\) 2.90786 0.909603i 0.127274 0.0398122i
\(523\) −7.83587 + 3.77356i −0.342639 + 0.165006i −0.597287 0.802028i \(-0.703755\pi\)
0.254648 + 0.967034i \(0.418040\pi\)
\(524\) −16.9000 + 2.68454i −0.738282 + 0.117275i
\(525\) −16.7687 + 23.2483i −0.731845 + 1.01464i
\(526\) 3.31128 22.5761i 0.144379 0.984365i
\(527\) 36.3011 + 8.28548i 1.58130 + 0.360921i
\(528\) 0.184371 1.37040i 0.00802374 0.0596391i
\(529\) 41.2465 19.8633i 1.79333 0.863621i
\(530\) 61.4306 + 23.8290i 2.66837 + 1.03507i
\(531\) −2.99202 1.44088i −0.129843 0.0625289i
\(532\) −10.5617 23.0134i −0.457909 0.997758i
\(533\) −1.55752 + 0.750064i −0.0674639 + 0.0324889i
\(534\) 4.92729 0.388907i 0.213225 0.0168297i
\(535\) 6.44939 + 28.2566i 0.278831 + 1.22164i
\(536\) −11.6794 + 25.0094i −0.504473 + 1.08024i
\(537\) 5.04828 + 4.02587i 0.217850 + 0.173729i
\(538\) −2.73193 + 1.59176i −0.117782 + 0.0686257i
\(539\) −1.73745 + 1.68427i −0.0748371 + 0.0725466i
\(540\) 6.92358 + 3.92444i 0.297943 + 0.168881i
\(541\) −2.78704 + 3.49484i −0.119824 + 0.150255i −0.838126 0.545477i \(-0.816348\pi\)
0.718301 + 0.695732i \(0.244920\pi\)
\(542\) −1.90330 24.1140i −0.0817538 1.03579i
\(543\) −19.7849 + 4.51578i −0.849053 + 0.193791i
\(544\) 20.7870 + 29.2264i 0.891234 + 1.25307i
\(545\) −6.84447 14.2127i −0.293185 0.608805i
\(546\) −10.2331 + 16.8375i −0.437935 + 0.720577i
\(547\) 10.8045 22.4357i 0.461966 0.959282i −0.531703 0.846931i \(-0.678448\pi\)
0.993669 0.112351i \(-0.0358381\pi\)
\(548\) 44.9971 7.14769i 1.92218 0.305334i
\(549\) −2.26749 4.70849i −0.0967741 0.200953i
\(550\) −0.768642 + 5.24055i −0.0327750 + 0.223458i
\(551\) 2.29408 10.0510i 0.0977309 0.428187i
\(552\) 18.5123 + 14.4061i 0.787936 + 0.613164i
\(553\) 13.0073 11.4435i 0.553129 0.486629i
\(554\) 11.4689 29.5665i 0.487265 1.25616i
\(555\) 7.47731 + 15.5268i 0.317394 + 0.659076i
\(556\) 21.5174 + 19.6499i 0.912541 + 0.833342i
\(557\) −8.36038 −0.354241 −0.177120 0.984189i \(-0.556678\pi\)
−0.177120 + 0.984189i \(0.556678\pi\)
\(558\) 4.18127 + 7.17630i 0.177007 + 0.303797i
\(559\) 2.02172 8.85773i 0.0855096 0.374642i
\(560\) −40.1074 12.8389i −1.69485 0.542541i
\(561\) 0.487694 + 2.13673i 0.0205904 + 0.0902126i
\(562\) 17.1204 16.0123i 0.722182 0.675437i
\(563\) −0.512483 0.642634i −0.0215986 0.0270838i 0.770915 0.636938i \(-0.219799\pi\)
−0.792513 + 0.609854i \(0.791228\pi\)
\(564\) −3.99521 + 0.634631i −0.168229 + 0.0267228i
\(565\) −21.9957 + 5.02037i −0.925366 + 0.211209i
\(566\) −2.43749 + 2.27972i −0.102455 + 0.0958236i
\(567\) −2.32550 + 1.26177i −0.0976617 + 0.0529893i
\(568\) 39.0335 + 8.42182i 1.63781 + 0.353372i
\(569\) 18.8473 0.790121 0.395061 0.918655i \(-0.370724\pi\)
0.395061 + 0.918655i \(0.370724\pi\)
\(570\) 23.2677 13.5569i 0.974575 0.567837i
\(571\) −43.5595 9.94216i −1.82291 0.416066i −0.832474 0.554064i \(-0.813076\pi\)
−0.990433 + 0.137998i \(0.955933\pi\)
\(572\) −0.243264 + 3.63257i −0.0101714 + 0.151885i
\(573\) −4.29903 + 3.42836i −0.179594 + 0.143222i
\(574\) 1.21843 0.155696i 0.0508561 0.00649864i
\(575\) −70.2499 56.0224i −2.92962 2.33630i
\(576\) −1.59408 + 7.83957i −0.0664200 + 0.326649i
\(577\) 12.2938 + 9.80398i 0.511798 + 0.408145i 0.845046 0.534694i \(-0.179573\pi\)
−0.333248 + 0.942839i \(0.608145\pi\)
\(578\) −27.1775 18.3718i −1.13043 0.764167i
\(579\) 5.18273 + 6.49894i 0.215387 + 0.270087i
\(580\) −9.77068 14.0895i −0.405706 0.585036i
\(581\) −2.58709 + 14.5414i −0.107331 + 0.603280i
\(582\) −0.465706 + 0.688920i −0.0193041 + 0.0285567i
\(583\) −1.75616 + 3.64670i −0.0727327 + 0.151031i
\(584\) 15.4303 3.71556i 0.638511 0.153751i
\(585\) −18.8791 9.09171i −0.780556 0.375896i
\(586\) 0.188555 1.28555i 0.00778912 0.0531057i
\(587\) −38.5154 −1.58970 −0.794851 0.606805i \(-0.792451\pi\)
−0.794851 + 0.606805i \(0.792451\pi\)
\(588\) 10.6808 9.05103i 0.440467 0.373258i
\(589\) 28.1035 1.15798
\(590\) −2.71203 + 18.4904i −0.111652 + 0.761239i
\(591\) 4.79689 + 2.31006i 0.197318 + 0.0950231i
\(592\) −12.5104 + 11.9829i −0.514175 + 0.492492i
\(593\) −12.5446 + 26.0491i −0.515145 + 1.06971i 0.467462 + 0.884013i \(0.345168\pi\)
−0.982607 + 0.185696i \(0.940546\pi\)
\(594\) −0.273789 + 0.405017i −0.0112337 + 0.0166180i
\(595\) 66.6706 3.22470i 2.73323 0.132200i
\(596\) −35.4717 + 24.5986i −1.45298 + 1.00760i
\(597\) 6.84615 + 8.58480i 0.280194 + 0.351353i
\(598\) −51.1675 34.5889i −2.09239 1.41445i
\(599\) −7.09652 5.65929i −0.289956 0.231232i 0.467698 0.883888i \(-0.345083\pi\)
−0.757654 + 0.652656i \(0.773655\pi\)
\(600\) 6.46299 29.9547i 0.263851 1.22290i
\(601\) −9.38361 7.48318i −0.382765 0.305245i 0.413138 0.910668i \(-0.364433\pi\)
−0.795904 + 0.605423i \(0.793004\pi\)
\(602\) −3.35282 + 5.51672i −0.136651 + 0.224845i
\(603\) 7.62977 6.08453i 0.310708 0.247781i
\(604\) −2.79070 0.186886i −0.113552 0.00760428i
\(605\) 42.2105 + 9.63428i 1.71610 + 0.391689i
\(606\) 5.16216 3.00773i 0.209698 0.122181i
\(607\) 29.5684 1.20014 0.600072 0.799946i \(-0.295138\pi\)
0.600072 + 0.799946i \(0.295138\pi\)
\(608\) 20.2046 + 18.0149i 0.819405 + 0.730601i
\(609\) 5.69340 0.275376i 0.230708 0.0111588i
\(610\) −21.4791 + 20.0888i −0.869664 + 0.813373i
\(611\) 10.3840 2.37009i 0.420093 0.0958834i
\(612\) −1.98927 12.5231i −0.0804115 0.506216i
\(613\) 12.8762 + 16.1463i 0.520066 + 0.652142i 0.970623 0.240605i \(-0.0773460\pi\)
−0.450557 + 0.892748i \(0.648775\pi\)
\(614\) 20.6378 19.3020i 0.832873 0.778963i
\(615\) 0.290685 + 1.27357i 0.0117216 + 0.0513555i
\(616\) 0.980083 2.39404i 0.0394887 0.0964585i
\(617\) −3.25339 + 14.2540i −0.130977 + 0.573846i 0.866263 + 0.499589i \(0.166516\pi\)
−0.997239 + 0.0742570i \(0.976341\pi\)
\(618\) −6.83700 11.7343i −0.275025 0.472023i
\(619\) −17.5217 −0.704256 −0.352128 0.935952i \(-0.614542\pi\)
−0.352128 + 0.935952i \(0.614542\pi\)
\(620\) 31.5181 34.5135i 1.26580 1.38610i
\(621\) −3.59836 7.47208i −0.144397 0.299844i
\(622\) −2.82261 + 7.27662i −0.113176 + 0.291766i
\(623\) 9.10383 + 1.61968i 0.364737 + 0.0648910i
\(624\) 2.80856 20.8755i 0.112432 0.835689i
\(625\) −8.50264 + 37.2525i −0.340106 + 1.49010i
\(626\) −1.34041 + 9.13880i −0.0535734 + 0.365260i
\(627\) 0.717733 + 1.49039i 0.0286635 + 0.0595204i
\(628\) 4.21620 + 26.5423i 0.168245 + 1.05915i
\(629\) 11.9135 24.7386i 0.475022 0.986393i
\(630\) 10.6837 + 10.3701i 0.425649 + 0.413154i
\(631\) −20.3401 42.2367i −0.809728 1.68142i −0.728829 0.684696i \(-0.759935\pi\)
−0.0808989 0.996722i \(-0.525779\pi\)
\(632\) −7.83681 + 16.7812i −0.311732 + 0.667520i
\(633\) 6.89259 1.57319i 0.273956 0.0625287i
\(634\) −0.879545 11.1435i −0.0349312 0.442563i
\(635\) −6.57227 + 8.24137i −0.260813 + 0.327049i
\(636\) 11.5474 20.3722i 0.457885 0.807812i
\(637\) −26.4668 + 25.6567i −1.04865 + 1.01656i
\(638\) 0.910039 0.530235i 0.0360288 0.0209922i
\(639\) −11.0379 8.80243i −0.436652 0.348219i
\(640\) 44.7833 4.60926i 1.77022 0.182197i
\(641\) 3.74621 + 16.4132i 0.147966 + 0.648283i 0.993449 + 0.114279i \(0.0364559\pi\)
−0.845482 + 0.534003i \(0.820687\pi\)
\(642\) 10.2687 0.810499i 0.405272 0.0319878i
\(643\) 23.6659 11.3969i 0.933291 0.449449i 0.0954931 0.995430i \(-0.469557\pi\)
0.837798 + 0.545981i \(0.183843\pi\)
\(644\) 26.7208 + 34.8115i 1.05295 + 1.37177i
\(645\) −6.18566 2.97886i −0.243560 0.117292i
\(646\) −40.0016 15.5167i −1.57384 0.610496i
\(647\) −43.8433 + 21.1138i −1.72366 + 0.830069i −0.735332 + 0.677707i \(0.762974\pi\)
−0.988325 + 0.152362i \(0.951312\pi\)
\(648\) 1.73706 2.23218i 0.0682382 0.0876883i
\(649\) −1.11921 0.255452i −0.0439327 0.0100274i
\(650\) −11.7088 + 79.8301i −0.459258 + 3.13119i
\(651\) 4.18540 + 14.9640i 0.164039 + 0.586484i
\(652\) 2.07851 + 13.0849i 0.0814006 + 0.512443i
\(653\) 16.2026 7.80277i 0.634058 0.305346i −0.0891067 0.996022i \(-0.528401\pi\)
0.723164 + 0.690676i \(0.242687\pi\)
\(654\) −5.35070 + 1.67374i −0.209229 + 0.0654485i
\(655\) 34.0462i 1.33029i
\(656\) −1.12666 + 0.674530i −0.0439886 + 0.0263360i
\(657\) −5.47069 1.24865i −0.213432 0.0487144i
\(658\) −7.53226 0.735238i −0.293638 0.0286626i
\(659\) −47.1805 + 10.7687i −1.83789 + 0.419487i −0.993265 0.115866i \(-0.963036\pi\)
−0.844628 + 0.535354i \(0.820178\pi\)
\(660\) 2.63526 + 0.790034i 0.102577 + 0.0307520i
\(661\) 14.3758 11.4643i 0.559155 0.445912i −0.302685 0.953091i \(-0.597883\pi\)
0.861841 + 0.507179i \(0.169312\pi\)
\(662\) −20.3614 7.89821i −0.791369 0.306973i
\(663\) 7.42911 + 32.5490i 0.288523 + 1.26410i
\(664\) −3.69641 15.3508i −0.143449 0.595726i
\(665\) 48.5176 13.5703i 1.88143 0.526234i
\(666\) 5.84543 1.82850i 0.226506 0.0708528i
\(667\) 17.8674i 0.691829i
\(668\) −4.15881 + 7.33707i −0.160909 + 0.283880i
\(669\) 4.08108 17.8804i 0.157784 0.691295i
\(670\) −45.4975 30.7560i −1.75772 1.18821i
\(671\) −1.12638 1.41243i −0.0434833 0.0545264i
\(672\) −6.58316 + 13.4411i −0.253951 + 0.518500i
\(673\) −3.59179 + 4.50396i −0.138453 + 0.173615i −0.846224 0.532827i \(-0.821130\pi\)
0.707771 + 0.706442i \(0.249701\pi\)
\(674\) −23.5733 + 7.37393i −0.908011 + 0.284033i
\(675\) −6.75507 + 8.47059i −0.260003 + 0.326033i
\(676\) −1.96841 + 29.3936i −0.0757082 + 1.13052i
\(677\) 14.3959 11.4803i 0.553278 0.441225i −0.306516 0.951866i \(-0.599163\pi\)
0.859794 + 0.510641i \(0.170592\pi\)
\(678\) 0.630914 + 7.99341i 0.0242301 + 0.306985i
\(679\) −1.16802 + 1.02760i −0.0448245 + 0.0394355i
\(680\) −63.9177 + 31.7234i −2.45113 + 1.21654i
\(681\) −2.33332 1.12367i −0.0894131 0.0430591i
\(682\) 1.96119 + 2.09692i 0.0750979 + 0.0802952i
\(683\) −5.60062 + 11.6298i −0.214302 + 0.445002i −0.980213 0.197944i \(-0.936574\pi\)
0.765912 + 0.642946i \(0.222288\pi\)
\(684\) −3.56707 8.88096i −0.136390 0.339572i
\(685\) 90.6494i 3.46353i
\(686\) 23.6051 11.3489i 0.901248 0.433304i
\(687\) 17.8271i 0.680147i
\(688\) 0.920211 6.83977i 0.0350827 0.260764i
\(689\) −26.7518 + 55.5507i −1.01916 + 2.11631i
\(690\) −34.0860 + 31.8797i −1.29763 + 1.21364i
\(691\) 34.2722 + 16.5046i 1.30378 + 0.627866i 0.951390 0.307989i \(-0.0996560\pi\)
0.352386 + 0.935855i \(0.385370\pi\)
\(692\) 33.0090 + 2.21053i 1.25481 + 0.0840317i
\(693\) −0.686680 + 0.604125i −0.0260848 + 0.0229488i
\(694\) −3.88928 + 0.306978i −0.147635 + 0.0116527i
\(695\) −45.3280 + 36.1479i −1.71939 + 1.37117i
\(696\) −5.45831 + 2.70906i −0.206897 + 0.102687i
\(697\) 1.29770 1.62727i 0.0491540 0.0616371i
\(698\) −8.31798 26.5913i −0.314840 1.00650i
\(699\) −12.2293 + 15.3350i −0.462553 + 0.580023i
\(700\) 25.8276 51.1823i 0.976192 1.93451i
\(701\) −20.6915 25.9464i −0.781509 0.979981i −0.999991 0.00414009i \(-0.998682\pi\)
0.218483 0.975841i \(-0.429889\pi\)
\(702\) −4.17067 + 6.16968i −0.157412 + 0.232859i
\(703\) 4.61158 20.2047i 0.173929 0.762034i
\(704\) 0.0658032 + 2.76471i 0.00248005 + 0.104199i
\(705\) 8.04860i 0.303128i
\(706\) −13.4159 42.8887i −0.504915 1.61414i
\(707\) 10.7641 3.01071i 0.404826 0.113229i
\(708\) 6.36204 + 1.90730i 0.239100 + 0.0716806i
\(709\) 8.96929 + 39.2970i 0.336849 + 1.47583i 0.805578 + 0.592489i \(0.201855\pi\)
−0.468730 + 0.883342i \(0.655288\pi\)
\(710\) −28.7324 + 74.0714i −1.07831 + 2.77985i
\(711\) 5.11953 4.08269i 0.191997 0.153113i
\(712\) −9.61053 + 2.31418i −0.360170 + 0.0867276i
\(713\) −47.4852 + 10.8382i −1.77833 + 0.405893i
\(714\) 2.30463 23.6101i 0.0862485 0.883586i
\(715\) −7.06200 1.61185i −0.264104 0.0602800i
\(716\) −11.2347 6.36808i −0.419861 0.237986i
\(717\) 17.9878i 0.671768i
\(718\) −7.99841 25.5697i −0.298498 0.954254i
\(719\) −5.87051 + 2.82709i −0.218933 + 0.105433i −0.540136 0.841578i \(-0.681627\pi\)
0.321203 + 0.947010i \(0.395913\pi\)
\(720\) −14.9070 5.57933i −0.555553 0.207929i
\(721\) −6.84376 24.4683i −0.254875 0.911247i
\(722\) −5.45543 0.800158i −0.203030 0.0297788i
\(723\) 4.75615 + 1.08556i 0.176883 + 0.0403725i
\(724\) 37.6630 15.1275i 1.39974 0.562209i
\(725\) 21.0301 10.1275i 0.781037 0.376128i
\(726\) 5.56478 14.3459i 0.206528 0.532425i
\(727\) −27.2695 13.1323i −1.01137 0.487050i −0.146588 0.989198i \(-0.546829\pi\)
−0.864782 + 0.502148i \(0.832543\pi\)
\(728\) 14.9297 36.4687i 0.553333 1.35162i
\(729\) −0.900969 + 0.433884i −0.0333692 + 0.0160698i
\(730\) 2.48469 + 31.4800i 0.0919627 + 1.16513i
\(731\) 2.43412 + 10.6646i 0.0900290 + 0.394443i
\(732\) 5.95617 + 8.58892i 0.220146 + 0.317456i
\(733\) −19.3392 15.4225i −0.714311 0.569644i 0.197476 0.980308i \(-0.436726\pi\)
−0.911787 + 0.410664i \(0.865297\pi\)
\(734\) −20.3233 34.8807i −0.750146 1.28747i
\(735\) 14.4513 + 23.8126i 0.533043 + 0.878342i
\(736\) −41.0863 22.6470i −1.51446 0.834779i
\(737\) 2.10334 2.63751i 0.0774777 0.0971540i
\(738\) 0.462827 0.0365306i 0.0170369 0.00134471i
\(739\) 10.2601 2.34181i 0.377425 0.0861447i −0.0296001 0.999562i \(-0.509423\pi\)
0.407025 + 0.913417i \(0.366566\pi\)
\(740\) −19.6412 28.3230i −0.722023 1.04117i
\(741\) 10.9333 + 22.7033i 0.401646 + 0.834027i
\(742\) 30.5133 31.4362i 1.12018 1.15406i
\(743\) 5.64737 11.7269i 0.207182 0.430218i −0.771322 0.636445i \(-0.780404\pi\)
0.978504 + 0.206227i \(0.0661186\pi\)
\(744\) −10.5106 12.8629i −0.385339 0.471578i
\(745\) −37.2639 77.3792i −1.36524 2.83496i
\(746\) 22.5696 + 3.31033i 0.826333 + 0.121200i
\(747\) −1.24221 + 5.44249i −0.0454502 + 0.199130i
\(748\) −1.63373 4.06752i −0.0597352 0.148723i
\(749\) 18.9728 + 3.37548i 0.693249 + 0.123337i
\(750\) 30.6102 + 11.8737i 1.11773 + 0.433567i
\(751\) −4.26103 8.84813i −0.155487 0.322873i 0.808644 0.588298i \(-0.200202\pi\)
−0.964131 + 0.265425i \(0.914488\pi\)
\(752\) 7.69235 2.50709i 0.280511 0.0914242i
\(753\) 14.4041 0.524916
\(754\) 13.8628 8.07714i 0.504852 0.294152i
\(755\) 1.23830 5.42533i 0.0450662 0.197448i
\(756\) 4.19751 3.22194i 0.152662 0.117181i
\(757\) 7.34691 + 32.1889i 0.267028 + 1.16993i 0.913451 + 0.406948i \(0.133407\pi\)
−0.646423 + 0.762979i \(0.723736\pi\)
\(758\) −16.0639 17.1756i −0.583465 0.623845i
\(759\) −1.78749 2.24144i −0.0648819 0.0813593i
\(760\) −41.7055 + 34.0786i −1.51282 + 1.23616i
\(761\) 31.5135 7.19275i 1.14236 0.260737i 0.390850 0.920455i \(-0.372181\pi\)
0.751514 + 0.659718i \(0.229324\pi\)
\(762\) 2.55900 + 2.73610i 0.0927027 + 0.0991184i
\(763\) −10.4763 + 0.506715i −0.379268 + 0.0183443i
\(764\) 7.41590 8.12069i 0.268298 0.293796i
\(765\) 25.2286 0.912141
\(766\) 16.3336 + 28.0333i 0.590158 + 1.01288i
\(767\) −17.0490 3.89133i −0.615605 0.140508i
\(768\) 0.688923 15.9852i 0.0248594 0.576815i
\(769\) 4.88444 3.89521i 0.176138 0.140465i −0.531453 0.847088i \(-0.678354\pi\)
0.707590 + 0.706623i \(0.249782\pi\)
\(770\) 4.39832 + 2.67310i 0.158504 + 0.0963319i
\(771\) −20.4286 16.2913i −0.735718 0.586715i
\(772\)