Properties

Label 588.2.x.b.55.15
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 55.15
Character \(\chi\) \(=\) 588.55
Dual form 588.2.x.b.139.15

$q$-expansion

\(f(q)\) \(=\) \(q+(0.148148 - 1.40643i) q^{2} +(0.900969 + 0.433884i) q^{3} +(-1.95610 - 0.416719i) q^{4} +(-1.14386 + 2.37526i) q^{5} +(0.743705 - 1.20287i) q^{6} +(1.90517 - 1.83585i) q^{7} +(-0.875880 + 2.68939i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})\) \(q+(0.148148 - 1.40643i) q^{2} +(0.900969 + 0.433884i) q^{3} +(-1.95610 - 0.416719i) q^{4} +(-1.14386 + 2.37526i) q^{5} +(0.743705 - 1.20287i) q^{6} +(1.90517 - 1.83585i) q^{7} +(-0.875880 + 2.68939i) q^{8} +(0.623490 + 0.781831i) q^{9} +(3.17118 + 1.96066i) q^{10} +(-1.71931 - 1.37111i) q^{11} +(-1.58158 - 1.22417i) q^{12} +(4.11444 + 3.28115i) q^{13} +(-2.29975 - 2.95146i) q^{14} +(-2.06117 + 1.64373i) q^{15} +(3.65269 + 1.63029i) q^{16} +(5.43764 + 1.24111i) q^{17} +(1.19196 - 0.761070i) q^{18} +0.503306 q^{19} +(3.22734 - 4.16959i) q^{20} +(2.51304 - 0.827423i) q^{21} +(-2.18308 + 2.21497i) q^{22} +(0.636689 - 0.145320i) q^{23} +(-1.95602 + 2.04303i) q^{24} +(-1.21598 - 1.52480i) q^{25} +(5.22427 - 5.30058i) q^{26} +(0.222521 + 0.974928i) q^{27} +(-4.49174 + 2.79720i) q^{28} +(-0.628356 + 2.75301i) q^{29} +(2.00644 + 3.14242i) q^{30} +4.81514 q^{31} +(2.83403 - 4.89574i) q^{32} +(-0.954147 - 1.98131i) q^{33} +(2.55110 - 7.46381i) q^{34} +(2.18137 + 6.62523i) q^{35} +(-0.893807 - 1.78916i) q^{36} +(1.54710 - 6.77828i) q^{37} +(0.0745635 - 0.707865i) q^{38} +(2.28334 + 4.74141i) q^{39} +(-5.38612 - 5.15674i) q^{40} +(-4.33461 + 9.00090i) q^{41} +(-0.791414 - 3.65700i) q^{42} +(1.69645 + 3.52271i) q^{43} +(2.79179 + 3.39850i) q^{44} +(-2.57024 + 0.586641i) q^{45} +(-0.110059 - 0.916989i) q^{46} +(7.09061 - 8.89135i) q^{47} +(2.58360 + 3.05369i) q^{48} +(0.259311 - 6.99520i) q^{49} +(-2.32467 + 1.48430i) q^{50} +(4.36065 + 3.47750i) q^{51} +(-6.68095 - 8.13285i) q^{52} +(-0.361207 - 1.58255i) q^{53} +(1.40414 - 0.168527i) q^{54} +(5.22340 - 2.51546i) q^{55} +(3.26863 + 6.73172i) q^{56} +(0.453463 + 0.218376i) q^{57} +(3.77883 + 1.29159i) q^{58} +(-13.4713 + 6.48743i) q^{59} +(4.71684 - 2.35638i) q^{60} +(-9.44503 - 2.15577i) q^{61} +(0.713351 - 6.77216i) q^{62} +(2.62318 + 0.344885i) q^{63} +(-6.46567 - 4.71117i) q^{64} +(-12.5000 + 6.01966i) q^{65} +(-2.92793 + 1.04842i) q^{66} +4.43686i q^{67} +(-10.1194 - 4.69370i) q^{68} +(0.636689 + 0.145320i) q^{69} +(9.64110 - 2.08644i) q^{70} +(-15.0105 + 3.42604i) q^{71} +(-2.64875 + 0.992019i) q^{72} +(3.33947 - 2.66314i) q^{73} +(-9.30400 - 3.18008i) q^{74} +(-0.433980 - 1.90139i) q^{75} +(-0.984518 - 0.209737i) q^{76} +(-5.79272 + 0.544216i) q^{77} +(7.00674 - 2.50894i) q^{78} -6.44761i q^{79} +(-8.05055 + 6.81125i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(12.0170 + 7.42979i) q^{82} +(1.49505 + 1.87473i) q^{83} +(-5.26057 + 0.571294i) q^{84} +(-9.16787 + 11.4961i) q^{85} +(5.20578 - 1.86406i) q^{86} +(-1.76061 + 2.20774i) q^{87} +(5.19336 - 3.42299i) q^{88} +(4.74517 - 3.78415i) q^{89} +(0.444296 + 3.70178i) q^{90} +(13.8624 - 1.30235i) q^{91} +(-1.30599 + 0.0189408i) q^{92} +(4.33829 + 2.08921i) q^{93} +(-11.4546 - 11.2897i) q^{94} +(-0.575714 + 1.19548i) q^{95} +(4.67756 - 3.18127i) q^{96} -12.9866i q^{97} +(-9.79985 - 1.40102i) q^{98} -2.19908i 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 \( 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9} - 20 q^{10} + 14 q^{14} - 20 q^{16} - 12 q^{19} + 25 q^{20} + 2 q^{21} - 6 q^{22} - 27 q^{24} + 32 q^{25} - 6 q^{26} + 28 q^{27} + 6 q^{28} - 8 q^{30} + 4 q^{31} - 45 q^{32} - 44 q^{34} + 12 q^{35} - 10 q^{37} - 35 q^{38} - 14 q^{39} + 40 q^{40} + 7 q^{42} + 20 q^{44} + 28 q^{46} + 8 q^{47} - 8 q^{48} - 8 q^{49} + 114 q^{50} - 20 q^{52} - 8 q^{53} + 23 q^{56} + 12 q^{57} - 6 q^{58} - 20 q^{59} + 10 q^{60} - 14 q^{61} + 16 q^{62} + 12 q^{63} - 42 q^{64} - 8 q^{65} + 6 q^{66} + 16 q^{68} + 19 q^{70} - 28 q^{71} - 15 q^{72} + 22 q^{74} - 18 q^{75} - 49 q^{76} + 8 q^{77} + 6 q^{78} - 26 q^{80} - 28 q^{81} - 12 q^{82} - 10 q^{83} - 27 q^{84} - 24 q^{85} - 34 q^{86} + 94 q^{88} - 20 q^{90} + 16 q^{91} + 7 q^{92} - 4 q^{93} + 11 q^{94} + 10 q^{96} - 150 q^{98}+O(q^{100}) \) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.148148 1.40643i 0.104756 0.994498i
\(3\) 0.900969 + 0.433884i 0.520175 + 0.250503i
\(4\) −1.95610 0.416719i −0.978052 0.208360i
\(5\) −1.14386 + 2.37526i −0.511552 + 1.06225i 0.471996 + 0.881601i \(0.343534\pi\)
−0.983548 + 0.180648i \(0.942181\pi\)
\(6\) 0.743705 1.20287i 0.303616 0.491071i
\(7\) 1.90517 1.83585i 0.720085 0.693886i
\(8\) −0.875880 + 2.68939i −0.309670 + 0.950844i
\(9\) 0.623490 + 0.781831i 0.207830 + 0.260610i
\(10\) 3.17118 + 1.96066i 1.00282 + 0.620014i
\(11\) −1.71931 1.37111i −0.518393 0.413404i 0.329033 0.944318i \(-0.393277\pi\)
−0.847426 + 0.530914i \(0.821849\pi\)
\(12\) −1.58158 1.22417i −0.456563 0.353388i
\(13\) 4.11444 + 3.28115i 1.14114 + 0.910028i 0.996834 0.0795048i \(-0.0253339\pi\)
0.144305 + 0.989533i \(0.453905\pi\)
\(14\) −2.29975 2.95146i −0.614635 0.788812i
\(15\) −2.06117 + 1.64373i −0.532193 + 0.424409i
\(16\) 3.65269 + 1.63029i 0.913173 + 0.407573i
\(17\) 5.43764 + 1.24111i 1.31882 + 0.301012i 0.823311 0.567590i \(-0.192124\pi\)
0.495510 + 0.868602i \(0.334981\pi\)
\(18\) 1.19196 0.761070i 0.280948 0.179386i
\(19\) 0.503306 0.115466 0.0577331 0.998332i \(-0.481613\pi\)
0.0577331 + 0.998332i \(0.481613\pi\)
\(20\) 3.22734 4.16959i 0.721654 0.932348i
\(21\) 2.51304 0.827423i 0.548390 0.180559i
\(22\) −2.18308 + 2.21497i −0.465435 + 0.472234i
\(23\) 0.636689 0.145320i 0.132759 0.0303013i −0.155625 0.987816i \(-0.549739\pi\)
0.288384 + 0.957515i \(0.406882\pi\)
\(24\) −1.95602 + 2.04303i −0.399272 + 0.417032i
\(25\) −1.21598 1.52480i −0.243197 0.304959i
\(26\) 5.22427 5.30058i 1.02456 1.03953i
\(27\) 0.222521 + 0.974928i 0.0428242 + 0.187625i
\(28\) −4.49174 + 2.79720i −0.848858 + 0.528620i
\(29\) −0.628356 + 2.75301i −0.116683 + 0.511220i 0.882482 + 0.470347i \(0.155871\pi\)
−0.999164 + 0.0408735i \(0.986986\pi\)
\(30\) 2.00644 + 3.14242i 0.366324 + 0.573724i
\(31\) 4.81514 0.864824 0.432412 0.901676i \(-0.357663\pi\)
0.432412 + 0.901676i \(0.357663\pi\)
\(32\) 2.83403 4.89574i 0.500991 0.865452i
\(33\) −0.954147 1.98131i −0.166096 0.344901i
\(34\) 2.55110 7.46381i 0.437511 1.28003i
\(35\) 2.18137 + 6.62523i 0.368719 + 1.11987i
\(36\) −0.893807 1.78916i −0.148968 0.298194i
\(37\) 1.54710 6.77828i 0.254341 1.11434i −0.672857 0.739772i \(-0.734933\pi\)
0.927199 0.374570i \(-0.122210\pi\)
\(38\) 0.0745635 0.707865i 0.0120958 0.114831i
\(39\) 2.28334 + 4.74141i 0.365627 + 0.759232i
\(40\) −5.38612 5.15674i −0.851620 0.815353i
\(41\) −4.33461 + 9.00090i −0.676952 + 1.40571i 0.225211 + 0.974310i \(0.427693\pi\)
−0.902163 + 0.431395i \(0.858022\pi\)
\(42\) −0.791414 3.65700i −0.122118 0.564288i
\(43\) 1.69645 + 3.52271i 0.258706 + 0.537208i 0.989351 0.145549i \(-0.0464949\pi\)
−0.730645 + 0.682757i \(0.760781\pi\)
\(44\) 2.79179 + 3.39850i 0.420878 + 0.512343i
\(45\) −2.57024 + 0.586641i −0.383149 + 0.0874512i
\(46\) −0.110059 0.916989i −0.0162273 0.135203i
\(47\) 7.09061 8.89135i 1.03427 1.29694i 0.0803871 0.996764i \(-0.474384\pi\)
0.953885 0.300172i \(-0.0970442\pi\)
\(48\) 2.58360 + 3.05369i 0.372911 + 0.440762i
\(49\) 0.259311 6.99520i 0.0370444 0.999314i
\(50\) −2.32467 + 1.48430i −0.328758 + 0.209912i
\(51\) 4.36065 + 3.47750i 0.610613 + 0.486948i
\(52\) −6.68095 8.13285i −0.926481 1.12782i
\(53\) −0.361207 1.58255i −0.0496156 0.217380i 0.944042 0.329824i \(-0.106989\pi\)
−0.993658 + 0.112444i \(0.964132\pi\)
\(54\) 1.40414 0.168527i 0.191079 0.0229337i
\(55\) 5.22340 2.51546i 0.704323 0.339184i
\(56\) 3.26863 + 6.73172i 0.436789 + 0.899564i
\(57\) 0.453463 + 0.218376i 0.0600626 + 0.0289246i
\(58\) 3.77883 + 1.29159i 0.496184 + 0.169594i
\(59\) −13.4713 + 6.48743i −1.75381 + 0.844592i −0.777301 + 0.629128i \(0.783412\pi\)
−0.976512 + 0.215463i \(0.930874\pi\)
\(60\) 4.71684 2.35638i 0.608942 0.304207i
\(61\) −9.44503 2.15577i −1.20931 0.276018i −0.430102 0.902780i \(-0.641522\pi\)
−0.779210 + 0.626763i \(0.784380\pi\)
\(62\) 0.713351 6.77216i 0.0905956 0.860066i
\(63\) 2.62318 + 0.344885i 0.330489 + 0.0434514i
\(64\) −6.46567 4.71117i −0.808209 0.588896i
\(65\) −12.5000 + 6.01966i −1.55043 + 0.746647i
\(66\) −2.92793 + 1.04842i −0.360403 + 0.129051i
\(67\) 4.43686i 0.542049i 0.962573 + 0.271024i \(0.0873624\pi\)
−0.962573 + 0.271024i \(0.912638\pi\)
\(68\) −10.1194 4.69370i −1.22716 0.569195i
\(69\) 0.636689 + 0.145320i 0.0766483 + 0.0174945i
\(70\) 9.64110 2.08644i 1.15233 0.249377i
\(71\) −15.0105 + 3.42604i −1.78142 + 0.406597i −0.981181 0.193089i \(-0.938149\pi\)
−0.800235 + 0.599686i \(0.795292\pi\)
\(72\) −2.64875 + 0.992019i −0.312159 + 0.116911i
\(73\) 3.33947 2.66314i 0.390855 0.311697i −0.408270 0.912861i \(-0.633868\pi\)
0.799125 + 0.601165i \(0.205296\pi\)
\(74\) −9.30400 3.18008i −1.08157 0.369676i
\(75\) −0.433980 1.90139i −0.0501116 0.219553i
\(76\) −0.984518 0.209737i −0.112932 0.0240585i
\(77\) −5.79272 + 0.544216i −0.660142 + 0.0620192i
\(78\) 7.00674 2.50894i 0.793357 0.284081i
\(79\) 6.44761i 0.725413i −0.931903 0.362706i \(-0.881853\pi\)
0.931903 0.362706i \(-0.118147\pi\)
\(80\) −8.05055 + 6.81125i −0.900079 + 0.761521i
\(81\) −0.222521 + 0.974928i −0.0247245 + 0.108325i
\(82\) 12.0170 + 7.42979i 1.32706 + 0.820483i
\(83\) 1.49505 + 1.87473i 0.164103 + 0.205779i 0.857083 0.515178i \(-0.172274\pi\)
−0.692980 + 0.720957i \(0.743703\pi\)
\(84\) −5.26057 + 0.571294i −0.573976 + 0.0623333i
\(85\) −9.16787 + 11.4961i −0.994395 + 1.24693i
\(86\) 5.20578 1.86406i 0.561354 0.201007i
\(87\) −1.76061 + 2.20774i −0.188758 + 0.236694i
\(88\) 5.19336 3.42299i 0.553614 0.364892i
\(89\) 4.74517 3.78415i 0.502987 0.401119i −0.338858 0.940837i \(-0.610041\pi\)
0.841846 + 0.539718i \(0.181469\pi\)
\(90\) 0.444296 + 3.70178i 0.0468329 + 0.390202i
\(91\) 13.8624 1.30235i 1.45317 0.136523i
\(92\) −1.30599 + 0.0189408i −0.136159 + 0.00197472i
\(93\) 4.33829 + 2.08921i 0.449859 + 0.216641i
\(94\) −11.4546 11.2897i −1.18145 1.16444i
\(95\) −0.575714 + 1.19548i −0.0590670 + 0.122654i
\(96\) 4.67756 3.18127i 0.477401 0.324687i
\(97\) 12.9866i 1.31859i −0.751886 0.659294i \(-0.770855\pi\)
0.751886 0.659294i \(-0.229145\pi\)
\(98\) −9.79985 1.40102i −0.989935 0.141525i
\(99\) 2.19908i 0.221016i
\(100\) 1.74318 + 3.48938i 0.174318 + 0.348938i
\(101\) 3.74398 7.77446i 0.372540 0.773587i −0.627447 0.778659i \(-0.715900\pi\)
0.999987 + 0.00507187i \(0.00161443\pi\)
\(102\) 5.53689 5.61777i 0.548234 0.556242i
\(103\) −4.23303 2.03852i −0.417093 0.200861i 0.213554 0.976931i \(-0.431496\pi\)
−0.630647 + 0.776070i \(0.717210\pi\)
\(104\) −12.4281 + 8.19144i −1.21867 + 0.803237i
\(105\) −0.909233 + 6.91558i −0.0887321 + 0.674892i
\(106\) −2.27927 + 0.273562i −0.221382 + 0.0265707i
\(107\) 1.50916 1.20352i 0.145896 0.116348i −0.547822 0.836595i \(-0.684543\pi\)
0.693718 + 0.720247i \(0.255971\pi\)
\(108\) −0.0290031 1.99979i −0.00279082 0.192430i
\(109\) −11.2975 + 14.1666i −1.08210 + 1.35691i −0.152521 + 0.988300i \(0.548739\pi\)
−0.929583 + 0.368614i \(0.879832\pi\)
\(110\) −2.76399 7.71902i −0.263536 0.735979i
\(111\) 4.33487 5.43576i 0.411448 0.515939i
\(112\) 9.95195 3.59981i 0.940371 0.340150i
\(113\) 5.18025 + 6.49583i 0.487317 + 0.611076i 0.963316 0.268370i \(-0.0864848\pi\)
−0.475999 + 0.879446i \(0.657913\pi\)
\(114\) 0.374311 0.605413i 0.0350574 0.0567021i
\(115\) −0.383113 + 1.67853i −0.0357255 + 0.156524i
\(116\) 2.37636 5.12332i 0.220639 0.475688i
\(117\) 5.26256i 0.486524i
\(118\) 7.12840 + 19.9076i 0.656222 + 1.83264i
\(119\) 12.6381 7.61818i 1.15853 0.698357i
\(120\) −2.61530 6.98302i −0.238743 0.637459i
\(121\) −1.37162 6.00948i −0.124693 0.546316i
\(122\) −4.43120 + 12.9644i −0.401182 + 1.17374i
\(123\) −7.81069 + 6.22882i −0.704266 + 0.561634i
\(124\) −9.41891 2.00656i −0.845843 0.180194i
\(125\) −7.83850 + 1.78909i −0.701097 + 0.160021i
\(126\) 0.873674 3.63823i 0.0778331 0.324119i
\(127\) 10.2775 + 2.34578i 0.911983 + 0.208154i 0.652673 0.757640i \(-0.273648\pi\)
0.259310 + 0.965794i \(0.416505\pi\)
\(128\) −7.58381 + 8.39558i −0.670321 + 0.742071i
\(129\) 3.90991i 0.344249i
\(130\) 6.61441 + 18.4721i 0.580122 + 1.62011i
\(131\) 1.24673 0.600395i 0.108928 0.0524568i −0.378626 0.925550i \(-0.623603\pi\)
0.487554 + 0.873093i \(0.337889\pi\)
\(132\) 1.04076 + 4.27326i 0.0905868 + 0.371939i
\(133\) 0.958880 0.923993i 0.0831455 0.0801204i
\(134\) 6.24014 + 0.657310i 0.539066 + 0.0567829i
\(135\) −2.57024 0.586641i −0.221211 0.0504900i
\(136\) −8.10054 + 13.5369i −0.694615 + 1.16078i
\(137\) 10.2658 4.94374i 0.877064 0.422372i 0.0595130 0.998228i \(-0.481045\pi\)
0.817551 + 0.575856i \(0.195331\pi\)
\(138\) 0.298707 0.873931i 0.0254276 0.0743939i
\(139\) 13.2987 + 6.40433i 1.12798 + 0.543208i 0.902350 0.431004i \(-0.141841\pi\)
0.225634 + 0.974212i \(0.427555\pi\)
\(140\) −1.50613 13.8687i −0.127291 1.17212i
\(141\) 10.2462 4.93432i 0.862888 0.415545i
\(142\) 2.59473 + 21.6188i 0.217745 + 1.81421i
\(143\) −2.57520 11.2827i −0.215349 0.943504i
\(144\) 1.00280 + 3.87226i 0.0835668 + 0.322688i
\(145\) −5.82035 4.64157i −0.483354 0.385462i
\(146\) −3.25079 5.09127i −0.269037 0.421357i
\(147\) 3.26873 6.18994i 0.269601 0.510538i
\(148\) −5.85093 + 12.6143i −0.480943 + 1.03689i
\(149\) 2.36583 2.96666i 0.193817 0.243038i −0.675422 0.737432i \(-0.736038\pi\)
0.869238 + 0.494393i \(0.164610\pi\)
\(150\) −2.73847 + 0.328677i −0.223595 + 0.0268363i
\(151\) −13.3815 + 3.05423i −1.08897 + 0.248550i −0.729069 0.684441i \(-0.760046\pi\)
−0.359900 + 0.932991i \(0.617189\pi\)
\(152\) −0.440835 + 1.35359i −0.0357564 + 0.109790i
\(153\) 2.41998 + 5.02513i 0.195644 + 0.406258i
\(154\) −0.0927747 + 8.22770i −0.00747600 + 0.663007i
\(155\) −5.50786 + 11.4372i −0.442402 + 0.918658i
\(156\) −2.49062 10.2262i −0.199409 0.818751i
\(157\) −10.2340 21.2511i −0.816762 1.69602i −0.712719 0.701450i \(-0.752536\pi\)
−0.104043 0.994573i \(-0.533178\pi\)
\(158\) −9.06813 0.955198i −0.721421 0.0759915i
\(159\) 0.361207 1.58255i 0.0286456 0.125505i
\(160\) 8.38690 + 12.3316i 0.663043 + 0.974901i
\(161\) 0.946212 1.44572i 0.0745719 0.113939i
\(162\) 1.33820 + 0.457394i 0.105139 + 0.0359363i
\(163\) 5.44841 + 11.3137i 0.426753 + 0.886161i 0.997866 + 0.0652898i \(0.0207972\pi\)
−0.571114 + 0.820871i \(0.693489\pi\)
\(164\) 12.2298 15.8004i 0.954986 1.23380i
\(165\) 5.79753 0.451337
\(166\) 2.85817 1.82495i 0.221837 0.141643i
\(167\) −3.59184 + 15.7369i −0.277945 + 1.21776i 0.622442 + 0.782666i \(0.286140\pi\)
−0.900387 + 0.435090i \(0.856717\pi\)
\(168\) 0.0241457 + 7.48328i 0.00186288 + 0.577347i
\(169\) 3.26985 + 14.3261i 0.251527 + 1.10201i
\(170\) 14.8104 + 14.5971i 1.13590 + 1.11955i
\(171\) 0.313806 + 0.393500i 0.0239973 + 0.0300917i
\(172\) −1.85045 7.59773i −0.141095 0.579322i
\(173\) −10.8509 + 2.47664i −0.824976 + 0.188295i −0.614111 0.789220i \(-0.710485\pi\)
−0.210865 + 0.977515i \(0.567628\pi\)
\(174\) 2.84421 + 2.80325i 0.215619 + 0.212514i
\(175\) −5.11595 0.672624i −0.386729 0.0508456i
\(176\) −4.04482 7.81121i −0.304889 0.588792i
\(177\) −14.9520 −1.12386
\(178\) −4.61917 7.23438i −0.346221 0.542240i
\(179\) −14.7969 3.37730i −1.10597 0.252431i −0.369724 0.929142i \(-0.620548\pi\)
−0.736249 + 0.676711i \(0.763405\pi\)
\(180\) 5.27212 0.0764619i 0.392961 0.00569913i
\(181\) 13.5092 10.7732i 1.00413 0.800768i 0.0241193 0.999709i \(-0.492322\pi\)
0.980011 + 0.198942i \(0.0637504\pi\)
\(182\) 0.222016 19.6895i 0.0164569 1.45948i
\(183\) −7.57433 6.04032i −0.559910 0.446514i
\(184\) −0.166840 + 1.83959i −0.0122996 + 0.135616i
\(185\) 14.3305 + 11.4282i 1.05360 + 0.840218i
\(186\) 3.58104 5.79200i 0.262574 0.424690i
\(187\) −7.64732 9.58944i −0.559227 0.701249i
\(188\) −17.5752 + 14.4376i −1.28180 + 1.05297i
\(189\) 2.21376 + 1.44888i 0.161027 + 0.105391i
\(190\) 1.59607 + 0.986810i 0.115791 + 0.0715907i
\(191\) 8.95656 18.5985i 0.648074 1.34574i −0.275121 0.961410i \(-0.588718\pi\)
0.923196 0.384330i \(-0.125568\pi\)
\(192\) −3.78127 7.04997i −0.272889 0.508787i
\(193\) 5.05918 + 2.43637i 0.364168 + 0.175374i 0.607015 0.794691i \(-0.292367\pi\)
−0.242847 + 0.970065i \(0.578081\pi\)
\(194\) −18.2647 1.92393i −1.31133 0.138130i
\(195\) −13.8739 −0.993531
\(196\) −3.42227 + 13.5753i −0.244448 + 0.969662i
\(197\) 4.30118 0.306446 0.153223 0.988192i \(-0.451035\pi\)
0.153223 + 0.988192i \(0.451035\pi\)
\(198\) −3.09286 0.325789i −0.219800 0.0231528i
\(199\) −13.4392 6.47197i −0.952679 0.458786i −0.108054 0.994145i \(-0.534462\pi\)
−0.844625 + 0.535359i \(0.820176\pi\)
\(200\) 5.16583 1.93472i 0.365279 0.136805i
\(201\) −1.92508 + 3.99747i −0.135785 + 0.281960i
\(202\) −10.3796 6.41742i −0.730305 0.451528i
\(203\) 3.85698 + 6.39850i 0.270707 + 0.449086i
\(204\) −7.08074 8.61952i −0.495751 0.603487i
\(205\) −16.4213 20.5916i −1.14691 1.43818i
\(206\) −3.49415 + 5.65146i −0.243449 + 0.393756i
\(207\) 0.510585 + 0.407178i 0.0354881 + 0.0283008i
\(208\) 9.67952 + 18.6928i 0.671154 + 1.29611i
\(209\) −0.865340 0.690086i −0.0598568 0.0477342i
\(210\) 9.59160 + 2.30330i 0.661883 + 0.158943i
\(211\) −6.79583 + 5.41949i −0.467844 + 0.373093i −0.828850 0.559470i \(-0.811005\pi\)
0.361007 + 0.932563i \(0.382433\pi\)
\(212\) 0.0470792 + 3.24616i 0.00323341 + 0.222947i
\(213\) −15.0105 3.42604i −1.02850 0.234749i
\(214\) −1.46908 2.30083i −0.100425 0.157282i
\(215\) −10.3079 −0.702990
\(216\) −2.81687 0.255473i −0.191663 0.0173827i
\(217\) 9.17363 8.83987i 0.622747 0.600089i
\(218\) 18.2507 + 17.9879i 1.23609 + 1.21829i
\(219\) 4.16425 0.950462i 0.281394 0.0642263i
\(220\) −11.2658 + 2.74380i −0.759537 + 0.184987i
\(221\) 18.3006 + 22.9482i 1.23103 + 1.54366i
\(222\) −7.00283 6.90200i −0.469999 0.463232i
\(223\) 0.400625 + 1.75525i 0.0268279 + 0.117541i 0.986569 0.163346i \(-0.0522287\pi\)
−0.959741 + 0.280887i \(0.909372\pi\)
\(224\) −3.58854 14.5301i −0.239769 0.970830i
\(225\) 0.433980 1.90139i 0.0289320 0.126759i
\(226\) 9.90339 6.32333i 0.658763 0.420622i
\(227\) −5.01200 −0.332658 −0.166329 0.986070i \(-0.553191\pi\)
−0.166329 + 0.986070i \(0.553191\pi\)
\(228\) −0.796019 0.616133i −0.0527176 0.0408044i
\(229\) 6.22557 + 12.9275i 0.411397 + 0.854275i 0.998982 + 0.0451122i \(0.0143645\pi\)
−0.587585 + 0.809163i \(0.699921\pi\)
\(230\) 2.30398 + 0.787492i 0.151920 + 0.0519257i
\(231\) −5.45519 2.02305i −0.358925 0.133107i
\(232\) −6.85355 4.10120i −0.449958 0.269257i
\(233\) 2.93771 12.8709i 0.192456 0.843203i −0.782827 0.622240i \(-0.786223\pi\)
0.975282 0.220963i \(-0.0709200\pi\)
\(234\) 7.40144 + 0.779636i 0.483847 + 0.0509664i
\(235\) 13.0086 + 27.0125i 0.848585 + 1.76210i
\(236\) 29.0547 7.07635i 1.89130 0.460631i
\(237\) 2.79751 5.80910i 0.181718 0.377341i
\(238\) −8.84215 18.9032i −0.573151 1.22531i
\(239\) −6.49002 13.4767i −0.419805 0.871733i −0.998423 0.0561351i \(-0.982122\pi\)
0.578618 0.815598i \(-0.303592\pi\)
\(240\) −10.2086 + 2.64372i −0.658962 + 0.170652i
\(241\) 3.74034 0.853709i 0.240937 0.0549922i −0.100347 0.994952i \(-0.531995\pi\)
0.341284 + 0.939960i \(0.389138\pi\)
\(242\) −8.65513 + 1.03881i −0.556373 + 0.0667771i
\(243\) −0.623490 + 0.781831i −0.0399969 + 0.0501545i
\(244\) 17.5771 + 8.15283i 1.12526 + 0.521932i
\(245\) 16.3188 + 8.61749i 1.04257 + 0.550551i
\(246\) 7.60328 + 11.9080i 0.484767 + 0.759226i
\(247\) 2.07082 + 1.65142i 0.131763 + 0.105078i
\(248\) −4.21748 + 12.9498i −0.267810 + 0.822313i
\(249\) 0.533577 + 2.33775i 0.0338141 + 0.148149i
\(250\) 1.35497 + 11.2894i 0.0856961 + 0.714002i
\(251\) 6.76839 3.25949i 0.427217 0.205737i −0.207904 0.978149i \(-0.566664\pi\)
0.635122 + 0.772412i \(0.280950\pi\)
\(252\) −4.98749 1.76776i −0.314182 0.111358i
\(253\) −1.29392 0.623118i −0.0813479 0.0391751i
\(254\) 4.82177 14.1071i 0.302545 0.885160i
\(255\) −13.2480 + 6.37988i −0.829619 + 0.399524i
\(256\) 10.6843 + 11.9099i 0.667768 + 0.744369i
\(257\) −17.9291 4.09220i −1.11839 0.255264i −0.376914 0.926248i \(-0.623015\pi\)
−0.741472 + 0.670984i \(0.765872\pi\)
\(258\) 5.49903 + 0.579244i 0.342355 + 0.0360622i
\(259\) −9.49643 15.7540i −0.590079 0.978905i
\(260\) 26.9597 6.56612i 1.67197 0.407213i
\(261\) −2.54416 + 1.22520i −0.157480 + 0.0758381i
\(262\) −0.659715 1.84239i −0.0407573 0.113823i
\(263\) 12.2187i 0.753438i −0.926328 0.376719i \(-0.877052\pi\)
0.926328 0.376719i \(-0.122948\pi\)
\(264\) 6.16423 0.830690i 0.379382 0.0511255i
\(265\) 4.17215 + 0.952265i 0.256293 + 0.0584972i
\(266\) −1.15748 1.48549i −0.0709696 0.0910811i
\(267\) 5.91713 1.35055i 0.362123 0.0826522i
\(268\) 1.84892 8.67896i 0.112941 0.530152i
\(269\) 2.22813 1.77687i 0.135851 0.108338i −0.553207 0.833044i \(-0.686596\pi\)
0.689058 + 0.724706i \(0.258025\pi\)
\(270\) −1.20585 + 3.52796i −0.0733854 + 0.214705i
\(271\) −1.65821 7.26509i −0.100729 0.441323i −0.999992 0.00391501i \(-0.998754\pi\)
0.899263 0.437408i \(-0.144103\pi\)
\(272\) 17.8386 + 13.3983i 1.08163 + 0.812392i
\(273\) 13.0546 + 4.84129i 0.790103 + 0.293008i
\(274\) −5.43218 15.1705i −0.328170 0.916485i
\(275\) 4.28885i 0.258627i
\(276\) −1.18487 0.549582i −0.0713209 0.0330809i
\(277\) 4.57588 20.0483i 0.274938 1.20458i −0.629166 0.777271i \(-0.716603\pi\)
0.904104 0.427312i \(-0.140539\pi\)
\(278\) 10.9774 17.7550i 0.658383 1.06487i
\(279\) 3.00219 + 3.76462i 0.179736 + 0.225382i
\(280\) −19.7285 + 0.0636563i −1.17900 + 0.00380419i
\(281\) −11.9753 + 15.0165i −0.714386 + 0.895812i −0.998006 0.0631253i \(-0.979893\pi\)
0.283620 + 0.958937i \(0.408465\pi\)
\(282\) −5.42184 15.1416i −0.322866 0.901672i
\(283\) 9.10794 11.4210i 0.541411 0.678908i −0.433590 0.901110i \(-0.642753\pi\)
0.975000 + 0.222203i \(0.0713247\pi\)
\(284\) 30.7898 0.446546i 1.82704 0.0264976i
\(285\) −1.03740 + 0.827299i −0.0614503 + 0.0490050i
\(286\) −16.2498 + 1.95034i −0.960872 + 0.115326i
\(287\) 8.26616 + 25.1059i 0.487936 + 1.48195i
\(288\) 5.59463 0.836706i 0.329667 0.0493034i
\(289\) 12.7111 + 6.12135i 0.747712 + 0.360079i
\(290\) −7.39033 + 7.49829i −0.433975 + 0.440315i
\(291\) 5.63466 11.7005i 0.330310 0.685896i
\(292\) −7.64213 + 3.81775i −0.447222 + 0.223417i
\(293\) 32.2796i 1.88579i −0.333085 0.942897i \(-0.608090\pi\)
0.333085 0.942897i \(-0.391910\pi\)
\(294\) −8.22148 5.51428i −0.479487 0.321599i
\(295\) 39.4186i 2.29504i
\(296\) 16.8744 + 10.0977i 0.980804 + 0.586918i
\(297\) 0.954147 1.98131i 0.0553652 0.114967i
\(298\) −3.82192 3.76689i −0.221398 0.218210i
\(299\) 3.09643 + 1.49116i 0.179071 + 0.0862362i
\(300\) 0.0565643 + 3.90016i 0.00326574 + 0.225176i
\(301\) 9.69918 + 3.59692i 0.559051 + 0.207323i
\(302\) 2.31314 + 19.2726i 0.133106 + 1.10901i
\(303\) 6.74642 5.38009i 0.387572 0.309078i
\(304\) 1.83842 + 0.820535i 0.105441 + 0.0470609i
\(305\) 15.9243 19.9685i 0.911825 1.14339i
\(306\) 7.42603 2.65907i 0.424518 0.152009i
\(307\) −6.31096 + 7.91369i −0.360185 + 0.451658i −0.928599 0.371085i \(-0.878986\pi\)
0.568414 + 0.822743i \(0.307557\pi\)
\(308\) 11.5580 + 1.34940i 0.658576 + 0.0768889i
\(309\) −2.92935 3.67328i −0.166645 0.208966i
\(310\) 15.2697 + 9.44083i 0.867259 + 0.536203i
\(311\) 3.38380 14.8254i 0.191878 0.840672i −0.783721 0.621113i \(-0.786681\pi\)
0.975599 0.219559i \(-0.0704620\pi\)
\(312\) −14.7514 + 1.98790i −0.835135 + 0.112543i
\(313\) 34.5537i 1.95309i 0.215317 + 0.976544i \(0.430922\pi\)
−0.215317 + 0.976544i \(0.569078\pi\)
\(314\) −31.4044 + 11.2451i −1.77225 + 0.634599i
\(315\) −3.81975 + 5.83622i −0.215219 + 0.328834i
\(316\) −2.68684 + 12.6122i −0.151147 + 0.709492i
\(317\) −1.58000 6.92243i −0.0887417 0.388803i 0.910979 0.412454i \(-0.135328\pi\)
−0.999720 + 0.0236510i \(0.992471\pi\)
\(318\) −2.17224 0.742465i −0.121813 0.0416354i
\(319\) 4.85501 3.87174i 0.271828 0.216776i
\(320\) 18.5861 9.96871i 1.03899 0.557268i
\(321\) 1.88189 0.429530i 0.105037 0.0239740i
\(322\) −1.89313 1.54496i −0.105500 0.0860974i
\(323\) 2.73679 + 0.624655i 0.152279 + 0.0347568i
\(324\) 0.841545 1.81433i 0.0467525 0.100796i
\(325\) 10.2635i 0.569317i
\(326\) 16.7192 5.98672i 0.925990 0.331574i
\(327\) −16.3253 + 7.86187i −0.902794 + 0.434762i
\(328\) −20.4104 19.5412i −1.12697 1.07898i
\(329\) −2.81439 29.9568i −0.155162 1.65157i
\(330\) 0.858891 8.15384i 0.0472804 0.448854i
\(331\) −2.56968 0.586513i −0.141243 0.0322377i 0.151315 0.988486i \(-0.451649\pi\)
−0.292558 + 0.956248i \(0.594506\pi\)
\(332\) −2.14324 4.29019i −0.117625 0.235455i
\(333\) 6.26407 3.01662i 0.343269 0.165310i
\(334\) 21.6007 + 7.38305i 1.18194 + 0.403983i
\(335\) −10.5387 5.07517i −0.575790 0.277286i
\(336\) 10.5283 + 1.07467i 0.574366 + 0.0586281i
\(337\) 2.42163 1.16619i 0.131914 0.0635266i −0.366762 0.930315i \(-0.619534\pi\)
0.498677 + 0.866788i \(0.333819\pi\)
\(338\) 20.6332 2.47644i 1.12230 0.134700i
\(339\) 1.84881 + 8.10017i 0.100414 + 0.439941i
\(340\) 22.7240 18.6672i 1.23238 1.01237i
\(341\) −8.27873 6.60207i −0.448318 0.357522i
\(342\) 0.599921 0.383051i 0.0324400 0.0207130i
\(343\) −12.3481 13.8031i −0.666735 0.745295i
\(344\) −10.9598 + 1.47695i −0.590915 + 0.0796315i
\(345\) −1.07346 + 1.34607i −0.0577931 + 0.0724702i
\(346\) 1.87570 + 15.6279i 0.100838 + 0.840162i
\(347\) 18.6447 4.25554i 1.00090 0.228449i 0.309484 0.950905i \(-0.399844\pi\)
0.691418 + 0.722455i \(0.256987\pi\)
\(348\) 4.36395 3.58489i 0.233932 0.192170i
\(349\) −15.6474 32.4922i −0.837587 1.73927i −0.654340 0.756200i \(-0.727054\pi\)
−0.183247 0.983067i \(-0.558661\pi\)
\(350\) −1.70392 + 7.09558i −0.0910781 + 0.379275i
\(351\) −2.28334 + 4.74141i −0.121876 + 0.253077i
\(352\) −11.5852 + 4.53155i −0.617492 + 0.241532i
\(353\) 1.57282 + 3.26599i 0.0837126 + 0.173831i 0.938623 0.344945i \(-0.112102\pi\)
−0.854910 + 0.518776i \(0.826388\pi\)
\(354\) −2.21510 + 21.0290i −0.117731 + 1.11768i
\(355\) 9.03222 39.5727i 0.479380 2.10030i
\(356\) −10.8590 + 5.42479i −0.575525 + 0.287513i
\(357\) 14.6919 1.38028i 0.777579 0.0730522i
\(358\) −6.94207 + 20.3105i −0.366900 + 1.07344i
\(359\) −7.27372 15.1040i −0.383892 0.797160i −0.999955 0.00946355i \(-0.996988\pi\)
0.616063 0.787697i \(-0.288727\pi\)
\(360\) 0.673514 7.42622i 0.0354973 0.391396i
\(361\) −18.7467 −0.986668
\(362\) −13.1505 20.5958i −0.691173 1.08249i
\(363\) 1.37162 6.00948i 0.0719916 0.315416i
\(364\) −27.6590 3.22920i −1.44973 0.169256i
\(365\) 2.50574 + 10.9784i 0.131157 + 0.574634i
\(366\) −9.61743 + 9.75792i −0.502711 + 0.510055i
\(367\) 12.3348 + 15.4673i 0.643870 + 0.807388i 0.991481 0.130251i \(-0.0415784\pi\)
−0.347611 + 0.937639i \(0.613007\pi\)
\(368\) 2.56254 + 0.507180i 0.133582 + 0.0264386i
\(369\) −9.73977 + 2.22304i −0.507032 + 0.115727i
\(370\) 18.1960 18.4618i 0.945966 0.959785i
\(371\) −3.59349 2.35190i −0.186565 0.122105i
\(372\) −7.61553 5.89456i −0.394847 0.305619i
\(373\) 11.0833 0.573873 0.286936 0.957950i \(-0.407363\pi\)
0.286936 + 0.957950i \(0.407363\pi\)
\(374\) −14.6198 + 9.33479i −0.755973 + 0.482690i
\(375\) −7.83850 1.78909i −0.404778 0.0923880i
\(376\) 17.7018 + 26.8572i 0.912901 + 1.38505i
\(377\) −11.6184 + 9.26534i −0.598376 + 0.477189i
\(378\) 2.36572 2.89886i 0.121680 0.149101i
\(379\) −19.9513 15.9106i −1.02483 0.817273i −0.0415040 0.999138i \(-0.513215\pi\)
−0.983323 + 0.181866i \(0.941786\pi\)
\(380\) 1.62434 2.09858i 0.0833267 0.107655i
\(381\) 8.24194 + 6.57273i 0.422247 + 0.336731i
\(382\) −24.8306 15.3521i −1.27045 0.785483i
\(383\) −11.1834 14.0236i −0.571447 0.716572i 0.409181 0.912453i \(-0.365815\pi\)
−0.980628 + 0.195882i \(0.937243\pi\)
\(384\) −10.4755 + 4.27366i −0.534575 + 0.218089i
\(385\) 5.33344 14.3817i 0.271817 0.732961i
\(386\) 4.17610 6.75445i 0.212558 0.343792i
\(387\) −1.69645 + 3.52271i −0.0862353 + 0.179069i
\(388\) −5.41176 + 25.4031i −0.274740 + 1.28965i
\(389\) 28.8371 + 13.8872i 1.46210 + 0.704109i 0.984648 0.174550i \(-0.0558470\pi\)
0.477450 + 0.878659i \(0.341561\pi\)
\(390\) −2.05539 + 19.5127i −0.104078 + 0.988064i
\(391\) 3.64244 0.184206
\(392\) 18.5857 + 6.82434i 0.938720 + 0.344681i
\(393\) 1.38377 0.0698020
\(394\) 0.637209 6.04931i 0.0321021 0.304760i
\(395\) 15.3147 + 7.37519i 0.770569 + 0.371086i
\(396\) −0.916401 + 4.30164i −0.0460509 + 0.216166i
\(397\) −4.13856 + 8.59380i −0.207708 + 0.431311i −0.978633 0.205616i \(-0.934080\pi\)
0.770925 + 0.636927i \(0.219795\pi\)
\(398\) −11.0934 + 17.9425i −0.556061 + 0.899377i
\(399\) 1.26483 0.416447i 0.0633206 0.0208484i
\(400\) −1.95575 7.55201i −0.0977875 0.377601i
\(401\) 5.93156 + 7.43795i 0.296208 + 0.371433i 0.907558 0.419927i \(-0.137944\pi\)
−0.611350 + 0.791361i \(0.709373\pi\)
\(402\) 5.33698 + 3.29971i 0.266184 + 0.164575i
\(403\) 19.8116 + 15.7992i 0.986885 + 0.787014i
\(404\) −10.5634 + 13.6475i −0.525548 + 0.678987i
\(405\) −2.06117 1.64373i −0.102421 0.0816776i
\(406\) 9.57046 4.47666i 0.474974 0.222173i
\(407\) −11.9537 + 9.53276i −0.592523 + 0.472521i
\(408\) −13.1718 + 8.68162i −0.652100 + 0.429804i
\(409\) 14.6535 + 3.34456i 0.724567 + 0.165378i 0.568870 0.822427i \(-0.307381\pi\)
0.155697 + 0.987805i \(0.450238\pi\)
\(410\) −31.3935 + 20.0448i −1.55042 + 0.989943i
\(411\) 11.3942 0.562032
\(412\) 7.43075 + 5.75154i 0.366087 + 0.283358i
\(413\) −13.7551 + 37.0909i −0.676844 + 1.82512i
\(414\) 0.648310 0.657781i 0.0318627 0.0323281i
\(415\) −6.16311 + 1.40669i −0.302535 + 0.0690517i
\(416\) 27.7241 10.8443i 1.35929 0.531686i
\(417\) 9.20301 + 11.5402i 0.450673 + 0.565126i
\(418\) −1.09876 + 1.11481i −0.0537420 + 0.0545270i
\(419\) 2.69174 + 11.7933i 0.131500 + 0.576140i 0.997147 + 0.0754845i \(0.0240503\pi\)
−0.865647 + 0.500655i \(0.833093\pi\)
\(420\) 4.66041 13.1487i 0.227405 0.641591i
\(421\) −0.643723 + 2.82033i −0.0313731 + 0.137455i −0.988189 0.153240i \(-0.951029\pi\)
0.956816 + 0.290695i \(0.0938864\pi\)
\(422\) 6.61536 + 10.3608i 0.322031 + 0.504354i
\(423\) 11.3725 0.552948
\(424\) 4.57248 + 0.414697i 0.222059 + 0.0201395i
\(425\) −4.71965 9.80045i −0.228937 0.475392i
\(426\) −7.04227 + 20.6037i −0.341199 + 0.998251i
\(427\) −21.9520 + 13.2326i −1.06233 + 0.640369i
\(428\) −3.45360 + 1.72531i −0.166936 + 0.0833958i
\(429\) 2.57520 11.2827i 0.124332 0.544732i
\(430\) −1.52708 + 14.4973i −0.0736426 + 0.699122i
\(431\) 16.1488 + 33.5332i 0.777858 + 1.61524i 0.788298 + 0.615294i \(0.210963\pi\)
−0.0104393 + 0.999946i \(0.503323\pi\)
\(432\) −0.776618 + 3.92388i −0.0373650 + 0.188788i
\(433\) −7.09903 + 14.7413i −0.341158 + 0.708422i −0.998999 0.0447353i \(-0.985756\pi\)
0.657841 + 0.753157i \(0.271470\pi\)
\(434\) −11.0736 14.2117i −0.531551 0.682183i
\(435\) −3.23005 6.70727i −0.154869 0.321589i
\(436\) 28.0026 23.0035i 1.34108 1.10167i
\(437\) 0.320449 0.0731404i 0.0153292 0.00349878i
\(438\) −0.719838 5.99754i −0.0343952 0.286574i
\(439\) 1.03471 1.29749i 0.0493841 0.0619257i −0.756526 0.653964i \(-0.773105\pi\)
0.805910 + 0.592038i \(0.201676\pi\)
\(440\) 2.18998 + 16.2510i 0.104403 + 0.774736i
\(441\) 5.63074 4.15870i 0.268131 0.198033i
\(442\) 34.9863 22.3388i 1.66413 1.06255i
\(443\) −5.02277 4.00553i −0.238639 0.190308i 0.496867 0.867827i \(-0.334484\pi\)
−0.735506 + 0.677519i \(0.763055\pi\)
\(444\) −10.7447 + 8.82649i −0.509919 + 0.418887i
\(445\) 3.56050 + 15.5996i 0.168784 + 0.739491i
\(446\) 2.52800 0.303416i 0.119704 0.0143672i
\(447\) 3.41873 1.64637i 0.161700 0.0778708i
\(448\) −20.9672 + 2.89444i −0.990606 + 0.136750i
\(449\) −19.0116 9.15551i −0.897213 0.432075i −0.0723318 0.997381i \(-0.523044\pi\)
−0.824882 + 0.565305i \(0.808758\pi\)
\(450\) −2.60988 0.892049i −0.123031 0.0420516i
\(451\) 19.7938 9.53217i 0.932051 0.448852i
\(452\) −7.42618 14.8652i −0.349298 0.699202i
\(453\) −13.3815 3.05423i −0.628716 0.143500i
\(454\) −0.742516 + 7.04904i −0.0348480 + 0.330828i
\(455\) −12.7633 + 34.4165i −0.598352 + 1.61347i
\(456\) −0.984478 + 1.02827i −0.0461024 + 0.0481531i
\(457\) −29.2211 + 14.0721i −1.36690 + 0.658266i −0.966165 0.257925i \(-0.916961\pi\)
−0.400740 + 0.916192i \(0.631247\pi\)
\(458\) 19.1040 6.84066i 0.892671 0.319643i
\(459\) 5.57748i 0.260334i
\(460\) 1.44888 3.12373i 0.0675546 0.145644i
\(461\) 3.39765 + 0.775491i 0.158244 + 0.0361182i 0.300909 0.953653i \(-0.402710\pi\)
−0.142665 + 0.989771i \(0.545567\pi\)
\(462\) −3.65345 + 7.37265i −0.169974 + 0.343007i
\(463\) −15.4484 + 3.52599i −0.717947 + 0.163867i −0.565861 0.824501i \(-0.691456\pi\)
−0.152086 + 0.988367i \(0.548599\pi\)
\(464\) −6.78339 + 9.03147i −0.314911 + 0.419276i
\(465\) −9.92483 + 7.91479i −0.460253 + 0.367039i
\(466\) −17.6669 6.03848i −0.818403 0.279727i
\(467\) 4.39040 + 19.2356i 0.203163 + 0.890117i 0.968996 + 0.247077i \(0.0794700\pi\)
−0.765833 + 0.643040i \(0.777673\pi\)
\(468\) 2.19301 10.2941i 0.101372 0.475846i
\(469\) 8.14541 + 8.45295i 0.376120 + 0.390321i
\(470\) 39.9185 14.2938i 1.84130 0.659324i
\(471\) 23.5869i 1.08683i
\(472\) −5.64803 41.9118i −0.259972 1.92915i
\(473\) 1.91329 8.38266i 0.0879730 0.385435i
\(474\) −7.75566 4.79512i −0.356229 0.220247i
\(475\) −0.612011 0.767438i −0.0280810 0.0352125i
\(476\) −27.8961 + 9.63542i −1.27861 + 0.441639i
\(477\) 1.01208 1.26911i 0.0463400 0.0581085i
\(478\) −19.9155 + 7.13124i −0.910914 + 0.326175i
\(479\) 11.2544 14.1126i 0.514226 0.644819i −0.455146 0.890417i \(-0.650413\pi\)
0.969372 + 0.245598i \(0.0789842\pi\)
\(480\) 2.20584 + 14.7494i 0.100682 + 0.673213i
\(481\) 28.6060 22.8125i 1.30432 1.04016i
\(482\) −0.646561 5.38702i −0.0294501 0.245372i
\(483\) 1.47978 0.892006i 0.0673325 0.0405877i
\(484\) 0.178776 + 12.3268i 0.00812616 + 0.560307i
\(485\) 30.8465 + 14.8549i 1.40067 + 0.674526i
\(486\) 1.00722 + 0.992723i 0.0456886 + 0.0450308i
\(487\) −15.8480 + 32.9086i −0.718140 + 1.49123i 0.146698 + 0.989181i \(0.453135\pi\)
−0.864838 + 0.502051i \(0.832579\pi\)
\(488\) 14.0704 23.5132i 0.636938 1.06439i
\(489\) 12.5573i 0.567861i
\(490\) 14.5375 21.6746i 0.656738 0.979159i
\(491\) 17.9464i 0.809908i 0.914337 + 0.404954i \(0.132713\pi\)
−0.914337 + 0.404954i \(0.867287\pi\)
\(492\) 17.8742 8.92936i 0.805831 0.402566i
\(493\) −6.83354 + 14.1900i −0.307767 + 0.639085i
\(494\) 2.62940 2.66781i 0.118302 0.120031i
\(495\) 5.22340 + 2.51546i 0.234774 + 0.113061i
\(496\) 17.5882 + 7.85008i 0.789733 + 0.352479i
\(497\) −22.3077 + 34.0842i −1.00064 + 1.52888i
\(498\) 3.36694 0.404107i 0.150876 0.0181085i
\(499\) −5.04556 + 4.02370i −0.225870 + 0.180126i −0.729886 0.683569i \(-0.760427\pi\)
0.504016 + 0.863695i \(0.331855\pi\)
\(500\) 16.0785 0.233187i 0.719051 0.0104284i
\(501\) −10.0641 + 12.6200i −0.449631 + 0.563819i
\(502\) −3.58153 10.0022i −0.159851 0.446419i
\(503\) 16.5114 20.7046i 0.736205 0.923172i −0.262927 0.964816i \(-0.584688\pi\)
0.999133 + 0.0416433i \(0.0132593\pi\)
\(504\) −3.22512 + 6.75267i −0.143658 + 0.300788i
\(505\) 14.1837 + 17.7859i 0.631168 + 0.791460i
\(506\) −1.06806 + 1.72749i −0.0474812 + 0.0767965i
\(507\) −3.26985 + 14.3261i −0.145219 + 0.636246i
\(508\) −19.1264 8.87143i −0.848596 0.393606i
\(509\) 12.3040i 0.545363i 0.962104 + 0.272682i \(0.0879106\pi\)
−0.962104 + 0.272682i \(0.912089\pi\)
\(510\) 7.01022 + 19.5775i 0.310418 + 0.866907i
\(511\) 1.47312 11.2045i 0.0651670 0.495657i
\(512\) 18.3333 13.2623i 0.810227 0.586117i
\(513\) 0.111996 + 0.490687i 0.00494475 + 0.0216643i
\(514\) −8.41155 + 24.6098i −0.371018 + 1.08549i
\(515\) 9.68402 7.72275i 0.426729 0.340305i
\(516\) 1.62934 7.64820i 0.0717275 0.336693i
\(517\) −24.3820 + 5.56503i −1.07232 + 0.244750i
\(518\) −23.5638 + 11.0222i −1.03533 + 0.484286i
\(519\) −10.8509 2.47664i −0.476300 0.108712i
\(520\) −5.24078 38.8898i −0.229823 1.70543i
\(521\) 37.7280i 1.65289i −0.563014 0.826447i \(-0.690358\pi\)
0.563014 0.826447i \(-0.309642\pi\)
\(522\) 1.34625 + 3.75970i 0.0589239 + 0.164558i
\(523\) −7.95019 + 3.82861i −0.347638 + 0.167413i −0.599551 0.800336i \(-0.704654\pi\)
0.251914 + 0.967750i \(0.418940\pi\)
\(524\) −2.68894 + 0.654898i −0.117467 + 0.0286094i
\(525\) −4.31747 2.82574i −0.188430 0.123325i
\(526\) −17.1848 1.81017i −0.749293 0.0789273i
\(527\) 26.1830 + 5.97609i 1.14055 + 0.260323i
\(528\) −0.255094 8.79264i −0.0111015 0.382651i
\(529\) −20.3380 + 9.79428i −0.884262 + 0.425838i
\(530\) 1.95739 5.72677i 0.0850236 0.248755i
\(531\) −13.4713 6.48743i −0.584604 0.281531i
\(532\) −2.26072 + 1.40784i −0.0980145 + 0.0610378i
\(533\) −47.3678 + 22.8111i −2.05173 + 0.988060i
\(534\) −1.02284 8.52213i −0.0442628 0.368789i
\(535\) 1.13239 + 4.96131i 0.0489573 + 0.214496i
\(536\) −11.9325 3.88615i −0.515404 0.167856i
\(537\) −11.8662 9.46298i −0.512064 0.408358i
\(538\) −2.16896 3.39695i −0.0935104 0.146453i
\(539\) −10.0370 + 11.6714i −0.432324 + 0.502723i
\(540\) 4.78320 + 2.21860i 0.205836 + 0.0954733i
\(541\) −4.91108 + 6.15830i −0.211144 + 0.264766i −0.876114 0.482104i \(-0.839873\pi\)
0.664970 + 0.746870i \(0.268444\pi\)
\(542\) −10.4635 + 1.25585i −0.449447 + 0.0539435i
\(543\) 16.8457 3.84492i 0.722918 0.165001i
\(544\) 21.4866 23.1039i 0.921230 0.990573i
\(545\) −20.7266 43.0391i −0.887828 1.84359i
\(546\) 8.74296 17.6433i 0.374164 0.755062i
\(547\) −10.4736 + 21.7487i −0.447820 + 0.929909i 0.547817 + 0.836598i \(0.315459\pi\)
−0.995637 + 0.0933102i \(0.970255\pi\)
\(548\) −22.1411 + 5.39252i −0.945820 + 0.230357i
\(549\) −4.20343 8.72852i −0.179398 0.372524i
\(550\) 6.03197 + 0.635382i 0.257204 + 0.0270928i
\(551\) −0.316255 + 1.38560i −0.0134729 + 0.0590287i
\(552\) −0.948485 + 1.58502i −0.0403702 + 0.0674631i
\(553\) −11.8368 12.2838i −0.503354 0.522359i
\(554\) −27.5186 9.40577i −1.16915 0.399613i
\(555\) 7.95283 + 16.5142i 0.337579 + 0.700990i
\(556\) −23.3449 18.0694i −0.990044 0.766312i
\(557\) 0.257749 0.0109212 0.00546059 0.999985i \(-0.498262\pi\)
0.00546059 + 0.999985i \(0.498262\pi\)
\(558\) 5.73946 3.66465i 0.242971 0.155137i
\(559\) −4.57863 + 20.0603i −0.193655 + 0.848459i
\(560\) −2.83320 + 27.7562i −0.119724 + 1.17291i
\(561\) −2.72930 11.9578i −0.115231 0.504860i
\(562\) 19.3456 + 19.0671i 0.816046 + 0.804297i
\(563\) 19.2663 + 24.1592i 0.811978 + 1.01819i 0.999355 + 0.0359000i \(0.0114298\pi\)
−0.187378 + 0.982288i \(0.559999\pi\)
\(564\) −22.0989 + 5.38225i −0.930533 + 0.226634i
\(565\) −21.3548 + 4.87409i −0.898403 + 0.205055i
\(566\) −14.7135 14.5017i −0.618456 0.609552i
\(567\) 1.36588 + 2.26591i 0.0573617 + 0.0951594i
\(568\) 3.93339 43.3699i 0.165042 1.81976i
\(569\) −22.4115 −0.939539 −0.469769 0.882789i \(-0.655663\pi\)
−0.469769 + 0.882789i \(0.655663\pi\)
\(570\) 1.00985 + 1.58160i 0.0422980 + 0.0662457i
\(571\) −35.3377 8.06561i −1.47884 0.337535i −0.594392 0.804176i \(-0.702607\pi\)
−0.884447 + 0.466641i \(0.845464\pi\)
\(572\) 0.335647 + 23.1432i 0.0140341 + 0.967666i
\(573\) 16.1392 12.8706i 0.674224 0.537675i
\(574\) 36.5344 7.90642i 1.52491 0.330008i
\(575\) −0.995787 0.794113i −0.0415272 0.0331168i
\(576\) −0.347939 7.99243i −0.0144975 0.333018i
\(577\) 0.554783 + 0.442424i 0.0230959 + 0.0184184i 0.634970 0.772537i \(-0.281013\pi\)
−0.611874 + 0.790955i \(0.709584\pi\)
\(578\) 10.4924 16.9705i 0.436425 0.705878i
\(579\) 3.50106 + 4.39019i 0.145499 + 0.182450i
\(580\) 9.45098 + 11.5049i 0.392431 + 0.477713i
\(581\) 6.29004 + 0.826990i 0.260955 + 0.0343093i
\(582\) −15.6212 9.65818i −0.647520 0.400344i
\(583\) −1.54882 + 3.21616i −0.0641456 + 0.133200i
\(584\) 4.23725 + 11.3137i 0.175339 + 0.468165i
\(585\) −12.5000 6.01966i −0.516809 0.248882i
\(586\) −45.3991 4.78214i −1.87542 0.197549i
\(587\) 7.08222 0.292314 0.146157 0.989261i \(-0.453309\pi\)
0.146157 + 0.989261i \(0.453309\pi\)
\(588\) −8.97345 + 10.7460i −0.370059 + 0.443159i
\(589\) 2.42348 0.0998579
\(590\) −55.4396 5.83977i −2.28241 0.240419i
\(591\) 3.87523 + 1.86621i 0.159405 + 0.0767656i
\(592\) 16.7017 22.2367i 0.686434 0.913924i
\(593\) 12.9490 26.8889i 0.531753 1.10420i −0.446116 0.894975i \(-0.647193\pi\)
0.977869 0.209220i \(-0.0670926\pi\)
\(594\) −2.64522 1.63547i −0.108535 0.0671041i
\(595\) 3.63889 + 38.7329i 0.149180 + 1.58789i
\(596\) −5.86408 + 4.81721i −0.240202 + 0.197321i
\(597\) −9.30021 11.6621i −0.380632 0.477298i
\(598\) 2.55595 4.13401i 0.104521 0.169052i
\(599\) −17.5092 13.9631i −0.715408 0.570519i 0.196703 0.980463i \(-0.436977\pi\)
−0.912110 + 0.409945i \(0.865548\pi\)
\(600\) 5.49370 + 0.498246i 0.224279 + 0.0203408i
\(601\) 27.4156 + 21.8632i 1.11831 + 0.891820i 0.994933 0.100540i \(-0.0320571\pi\)
0.123374 + 0.992360i \(0.460629\pi\)
\(602\) 6.49574 13.1084i 0.264747 0.534257i
\(603\) −3.46888 + 2.76634i −0.141264 + 0.112654i
\(604\) 27.4483 0.398084i 1.11686 0.0161978i
\(605\) 15.8430 + 3.61607i 0.644111 + 0.147014i
\(606\) −6.56727 10.2854i −0.266777 0.417817i
\(607\) 1.50475 0.0610761 0.0305381 0.999534i \(-0.490278\pi\)
0.0305381 + 0.999534i \(0.490278\pi\)
\(608\) 1.42638 2.46405i 0.0578475 0.0999305i
\(609\) 0.698818 + 7.43833i 0.0283175 + 0.301416i
\(610\) −25.7252 25.3548i −1.04158 1.02659i
\(611\) 58.3478 13.3175i 2.36050 0.538768i
\(612\) −2.63966 10.8381i −0.106702 0.438106i
\(613\) −4.57842 5.74115i −0.184920 0.231883i 0.680727 0.732537i \(-0.261664\pi\)
−0.865647 + 0.500655i \(0.833093\pi\)
\(614\) 10.1951 + 10.0483i 0.411441 + 0.405517i
\(615\) −5.86069 25.6773i −0.236326 1.03541i
\(616\) 3.61012 16.0556i 0.145456 0.646898i
\(617\) 8.25141 36.1518i 0.332189 1.45542i −0.482693 0.875790i \(-0.660341\pi\)
0.814882 0.579626i \(-0.196802\pi\)
\(618\) −5.60020 + 3.57574i −0.225273 + 0.143837i
\(619\) 47.8506 1.92328 0.961640 0.274315i \(-0.0884511\pi\)
0.961640 + 0.274315i \(0.0884511\pi\)
\(620\) 15.5401 20.0771i 0.624104 0.806317i
\(621\) 0.283353 + 0.588389i 0.0113706 + 0.0236112i
\(622\) −20.3496 6.95544i −0.815946 0.278888i
\(623\) 2.09321 15.9209i 0.0838627 0.637856i
\(624\) 0.610457 + 21.0414i 0.0244379 + 0.842330i
\(625\) 6.88654 30.1719i 0.275461 1.20688i
\(626\) 48.5974 + 5.11904i 1.94234 + 0.204598i
\(627\) −0.480228 0.997203i −0.0191784 0.0398244i
\(628\) 11.1630 + 45.8341i 0.445453 + 1.82898i
\(629\) 16.8251 34.9377i 0.670862 1.39306i
\(630\) 7.64237 + 6.23684i 0.304479 + 0.248482i
\(631\) 13.4227 + 27.8725i 0.534349 + 1.10959i 0.977068 + 0.212927i \(0.0682998\pi\)
−0.442719 + 0.896661i \(0.645986\pi\)
\(632\) 17.3402 + 5.64733i 0.689754 + 0.224639i
\(633\) −8.47426 + 1.93419i −0.336821 + 0.0768773i
\(634\) −9.97001 + 1.19662i −0.395960 + 0.0475239i
\(635\) −17.3279 + 21.7285i −0.687638 + 0.862271i
\(636\) −1.36604 + 2.94512i −0.0541670 + 0.116781i
\(637\) 24.0192 27.9305i 0.951677 1.10664i
\(638\) −4.72608 7.40183i −0.187107 0.293041i
\(639\) −12.0375 9.59956i −0.476195 0.379753i
\(640\) −11.2668 27.6169i −0.445360 1.09166i
\(641\) 3.20364 + 14.0361i 0.126536 + 0.554391i 0.997959 + 0.0638586i \(0.0203407\pi\)
−0.871423 + 0.490533i \(0.836802\pi\)
\(642\) −0.325307 2.71039i −0.0128388 0.106971i
\(643\) 27.4146 13.2022i 1.08112 0.520642i 0.193448 0.981110i \(-0.438033\pi\)
0.887676 + 0.460468i \(0.152318\pi\)
\(644\) −2.45335 + 2.43368i −0.0966755 + 0.0959005i
\(645\) −9.28706 4.47241i −0.365678 0.176101i
\(646\) 1.28399 3.75657i 0.0505177 0.147800i
\(647\) 16.4588 7.92613i 0.647061 0.311608i −0.0814142 0.996680i \(-0.525944\pi\)
0.728475 + 0.685072i \(0.240229\pi\)
\(648\) −2.42706 1.45237i −0.0953440 0.0570543i
\(649\) 32.0564 + 7.31665i 1.25832 + 0.287204i
\(650\) −14.4349 1.52051i −0.566184 0.0596395i
\(651\) 12.1006 3.98416i 0.474261 0.156151i
\(652\) −5.94301 24.4013i −0.232746 0.955629i
\(653\) −30.0688 + 14.4804i −1.17668 + 0.566660i −0.916943 0.399019i \(-0.869351\pi\)
−0.259739 + 0.965679i \(0.583636\pi\)
\(654\) 8.63863 + 24.1252i 0.337797 + 0.943370i
\(655\) 3.64809i 0.142543i
\(656\) −30.5071 + 25.8108i −1.19110 + 1.00774i
\(657\) 4.16425 + 0.950462i 0.162463 + 0.0370811i
\(658\) −42.5491 0.479780i −1.65874 0.0187038i
\(659\) 18.4112 4.20223i 0.717198 0.163696i 0.151678 0.988430i \(-0.451532\pi\)
0.565521 + 0.824734i \(0.308675\pi\)
\(660\) −11.3406 2.41594i −0.441432 0.0940405i
\(661\) −14.3484 + 11.4425i −0.558088 + 0.445060i −0.861470 0.507809i \(-0.830456\pi\)
0.303382 + 0.952869i \(0.401884\pi\)
\(662\) −1.20558 + 3.52719i −0.0468563 + 0.137088i
\(663\) 6.53140 + 28.6159i 0.253658 + 1.11135i
\(664\) −6.35137 + 2.37873i −0.246481 + 0.0923128i
\(665\) 1.09789 + 3.33451i 0.0425745 + 0.129307i
\(666\) −3.31466 9.25690i −0.128441 0.358698i
\(667\) 1.84412i 0.0714046i
\(668\) 13.5839 29.2862i 0.525575 1.13312i
\(669\) −0.400625 + 1.75525i −0.0154891 + 0.0678620i
\(670\) −8.69916 + 14.0701i −0.336078 + 0.543575i
\(671\) 13.2832 + 16.6566i 0.512792 + 0.643020i
\(672\) 3.07119 14.6481i 0.118474 0.565064i
\(673\) −16.4292 + 20.6016i −0.633301 + 0.794134i −0.990147 0.140029i \(-0.955280\pi\)
0.356847 + 0.934163i \(0.383852\pi\)
\(674\) −1.28142 3.57862i −0.0493583 0.137843i
\(675\) 1.21598 1.52480i 0.0468032 0.0586894i
\(676\) −0.426187 29.3860i −0.0163918 1.13023i
\(677\) −18.1727 + 14.4922i −0.698432 + 0.556981i −0.907053 0.421015i \(-0.861674\pi\)
0.208621 + 0.977996i \(0.433102\pi\)
\(678\) 11.6662 1.40021i 0.448039 0.0537746i
\(679\) −23.8414 24.7416i −0.914949 0.949495i
\(680\) −22.8877 34.7253i −0.877704 1.33165i
\(681\) −4.51566 2.17463i −0.173040 0.0833319i
\(682\) −10.5118 + 10.6654i −0.402519 + 0.408399i
\(683\) 6.86777 14.2611i 0.262788 0.545685i −0.727269 0.686353i \(-0.759211\pi\)
0.990057 + 0.140668i \(0.0449250\pi\)
\(684\) −0.449858 0.900496i −0.0172008 0.0344313i
\(685\) 30.0389i 1.14773i
\(686\) −21.2424 + 15.3219i −0.811039 + 0.584992i
\(687\) 14.3485i 0.547428i
\(688\) 0.453550 + 15.6331i 0.0172914 + 0.596005i
\(689\) 3.70643 7.69649i 0.141204 0.293213i
\(690\) 1.73413 + 1.70917i 0.0660173 + 0.0650668i
\(691\) −13.9336 6.71007i −0.530060 0.255263i 0.149657 0.988738i \(-0.452183\pi\)
−0.679717 + 0.733475i \(0.737897\pi\)
\(692\) 22.2575 0.322801i 0.846103 0.0122711i
\(693\) −4.03719 4.18962i −0.153360 0.159151i
\(694\) −3.22295 26.8530i −0.122342 1.01933i
\(695\) −30.4239 + 24.2623i −1.15404 + 0.920320i
\(696\) −4.39539 6.66869i −0.166607 0.252776i
\(697\) −34.7411 + 43.5640i −1.31591 + 1.65010i
\(698\) −48.0162 + 17.1934i −1.81744 + 0.650780i
\(699\) 8.23127 10.3217i 0.311335 0.390402i
\(700\) 9.72703 + 3.44764i 0.367647 + 0.130308i
\(701\) 11.6800 + 14.6462i 0.441146 + 0.553179i 0.951845 0.306580i \(-0.0991847\pi\)
−0.510699 + 0.859760i \(0.670613\pi\)
\(702\) 6.33019 + 3.91379i 0.238918 + 0.147717i
\(703\) 0.778663 3.41155i 0.0293678 0.128669i
\(704\) 4.65700 + 16.9651i 0.175517 + 0.639396i
\(705\) 29.9817i 1.12917i
\(706\) 4.82640 1.72821i 0.181644 0.0650421i
\(707\) −7.13983 21.6850i −0.268521 0.815549i
\(708\) 29.2477 + 6.23079i 1.09920 + 0.234167i
\(709\) 10.3151 + 45.1935i 0.387393 + 1.69728i 0.673587 + 0.739108i \(0.264753\pi\)
−0.286194 + 0.958172i \(0.592390\pi\)
\(710\) −54.3183 18.5658i −2.03853 0.696762i
\(711\) 5.04094 4.02002i 0.189050 0.150762i
\(712\) 6.02087 + 16.0761i 0.225641 + 0.602477i
\(713\) 3.06574 0.699736i 0.114813 0.0262053i
\(714\) 0.235302 20.8677i 0.00880595 0.780954i
\(715\) 29.7449 + 6.78909i 1.11240 + 0.253898i
\(716\) 27.5369 + 12.7725i 1.02910 + 0.477331i
\(717\) 14.9580i 0.558616i
\(718\) −22.3204 + 7.99237i −0.832989 + 0.298273i
\(719\) −4.46182 + 2.14870i −0.166398 + 0.0801329i −0.515229 0.857053i \(-0.672293\pi\)
0.348831 + 0.937186i \(0.386579\pi\)
\(720\) −10.3447 2.04743i −0.385524 0.0763031i
\(721\) −11.8070 + 3.88749i −0.439717 + 0.144778i
\(722\) −2.77728 + 26.3659i −0.103360 + 0.981239i
\(723\) 3.74034 + 0.853709i 0.139105 + 0.0317498i
\(724\) −30.9148 + 15.4440i −1.14894 + 0.573972i
\(725\) 4.96184 2.38950i 0.184278 0.0887437i
\(726\) −8.24873 2.81939i −0.306139 0.104637i
\(727\) −2.58698 1.24582i −0.0959458 0.0462051i 0.385295 0.922793i \(-0.374100\pi\)
−0.481241 + 0.876588i \(0.659814\pi\)
\(728\) −8.63926 + 38.4221i −0.320192 + 1.42402i
\(729\) −0.900969 + 0.433884i −0.0333692 + 0.0160698i
\(730\) 15.8116 1.89774i 0.585212 0.0702384i
\(731\) 4.85262 + 21.2607i 0.179480 + 0.786355i
\(732\) 12.2991 + 14.9719i 0.454586 + 0.553376i
\(733\) 12.3074 + 9.81481i 0.454584 + 0.362518i 0.823852 0.566804i \(-0.191820\pi\)
−0.369269 + 0.929323i \(0.620392\pi\)
\(734\) 23.5811 15.0566i 0.870395 0.555749i
\(735\) 10.9637 + 14.8445i 0.404403 + 0.547549i
\(736\) 1.09295 3.52890i 0.0402866 0.130077i
\(737\) 6.08341 7.62835i 0.224085 0.280994i
\(738\) 1.68363 + 14.0277i 0.0619753 + 0.516366i
\(739\) 5.35779 1.22288i 0.197090 0.0449844i −0.122837 0.992427i \(-0.539199\pi\)
0.319926 + 0.947443i \(0.396342\pi\)
\(740\) −23.2696 28.3266i −0.855408 1.04130i
\(741\) 1.14922 + 2.38638i 0.0422176 + 0.0876657i
\(742\) −3.84016 + 4.70557i −0.140977 + 0.172747i
\(743\) 17.1343 35.5797i 0.628596 1.30529i −0.306828 0.951765i \(-0.599268\pi\)
0.935424 0.353528i \(-0.115018\pi\)
\(744\) −9.41852 + 9.83746i −0.345300 + 0.360659i
\(745\) 4.34040 + 9.01293i 0.159020 + 0.330208i
\(746\) 1.64197 15.5879i 0.0601167 0.570715i
\(747\) −0.533577 + 2.33775i −0.0195226 + 0.0855339i
\(748\) 10.9629 + 21.9447i 0.400842 + 0.802379i
\(749\) 0.665727 5.06349i 0.0243251 0.185016i
\(750\) −3.67748 + 10.7593i −0.134283 + 0.392873i
\(751\) −8.83820 18.3527i −0.322511 0.669700i 0.675178 0.737655i \(-0.264067\pi\)
−0.997688 + 0.0679550i \(0.978353\pi\)
\(752\) 40.3953 20.9176i 1.47307 0.762785i
\(753\) 7.51235 0.273765
\(754\) 11.3098 + 17.7131i 0.411880 + 0.645072i
\(755\) 8.05200 35.2781i 0.293042 1.28390i
\(756\) −3.72657 3.75668i −0.135534 0.136629i
\(757\) −3.16191 13.8532i −0.114922 0.503504i −0.999323 0.0367782i \(-0.988291\pi\)
0.884402 0.466726i \(-0.154567\pi\)
\(758\) −25.3329 + 25.7030i −0.920133 + 0.933574i
\(759\) −0.895418 1.12282i −0.0325016 0.0407558i
\(760\) −2.71086 2.59542i −0.0983334 0.0941457i
\(761\) 6.24497 1.42537i 0.226380 0.0516698i −0.107826 0.994170i \(-0.534389\pi\)
0.334206 + 0.942500i \(0.391532\pi\)
\(762\) 10.4651 10.6180i 0.379111 0.384649i
\(763\) 4.48417 + 47.7302i 0.162338 + 1.72795i
\(764\) −25.2703 + 32.6482i −0.914248 + 1.18117i
\(765\) −14.7041 −0.531629
\(766\) −21.3800 + 13.6512i −0.772491 + 0.493237i
\(767\) −76.7131 17.5093i −2.76995 0.632223i
\(768\) 4.45870 + 15.3662i 0.160889 + 0.554480i
\(769\) −21.9455 + 17.5010i −0.791376 + 0.631102i −0.933431 0.358757i \(-0.883201\pi\)
0.142055 + 0.989859i \(0.454629\pi\)
\(770\) −19.4368 9.63174i −0.700454 0.347104i
\(771\) −14.3780 11.4661i −0.517812 0.412941i
\(772\) −8.88100 6.87406i −0.319634