Properties

Label 138.2.f.a.5.8
Level $138$
Weight $2$
Character 138.5
Analytic conductor $1.102$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 138 = 2 \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 138.f (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.10193554789\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(8\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 5.8
Character \(\chi\) \(=\) 138.5
Dual form 138.2.f.a.83.8

$q$-expansion

\(f(q)\) \(=\) \(q+(0.281733 - 0.959493i) q^{2} +(1.53123 - 0.809531i) q^{3} +(-0.841254 - 0.540641i) q^{4} +(-0.140990 + 0.980604i) q^{5} +(-0.345342 - 1.69727i) q^{6} +(1.30276 - 0.594948i) q^{7} +(-0.755750 + 0.654861i) q^{8} +(1.68932 - 2.47915i) q^{9} +O(q^{10})\) \(q+(0.281733 - 0.959493i) q^{2} +(1.53123 - 0.809531i) q^{3} +(-0.841254 - 0.540641i) q^{4} +(-0.140990 + 0.980604i) q^{5} +(-0.345342 - 1.69727i) q^{6} +(1.30276 - 0.594948i) q^{7} +(-0.755750 + 0.654861i) q^{8} +(1.68932 - 2.47915i) q^{9} +(0.901161 + 0.411546i) q^{10} +(-3.75438 + 1.10239i) q^{11} +(-1.72582 - 0.146824i) q^{12} +(-0.318796 + 0.698067i) q^{13} +(-0.203820 - 1.41760i) q^{14} +(0.577942 + 1.61566i) q^{15} +(0.415415 + 0.909632i) q^{16} +(-0.408580 + 0.262579i) q^{17} +(-1.90279 - 2.31935i) q^{18} +(-4.07796 + 6.34543i) q^{19} +(0.648762 - 0.748712i) q^{20} +(1.51319 - 1.96562i) q^{21} +3.91288i q^{22} +(1.71381 - 4.47916i) q^{23} +(-0.627095 + 1.61454i) q^{24} +(3.85576 + 1.13215i) q^{25} +(0.579975 + 0.502551i) q^{26} +(0.579784 - 5.16371i) q^{27} +(-1.41760 - 0.203820i) q^{28} +(3.13747 + 4.88200i) q^{29} +(1.71304 - 0.0993461i) q^{30} +(0.102577 + 0.118380i) q^{31} +(0.989821 - 0.142315i) q^{32} +(-4.85640 + 4.72729i) q^{33} +(0.136832 + 0.466007i) q^{34} +(0.399734 + 1.36137i) q^{35} +(-2.76148 + 1.17228i) q^{36} +(-5.07638 + 0.729874i) q^{37} +(4.93950 + 5.70049i) q^{38} +(0.0769565 + 1.32697i) q^{39} +(-0.535606 - 0.833419i) q^{40} +(-3.04414 - 0.437682i) q^{41} +(-1.45969 - 2.00567i) q^{42} +(0.209322 + 0.181379i) q^{43} +(3.75438 + 1.10239i) q^{44} +(2.19289 + 2.00609i) q^{45} +(-3.81489 - 2.90631i) q^{46} -6.75849i q^{47} +(1.37247 + 1.05656i) q^{48} +(-3.24082 + 3.74010i) q^{49} +(2.17259 - 3.38061i) q^{50} +(-0.413064 + 0.732826i) q^{51} +(0.645592 - 0.414897i) q^{52} +(1.44656 + 3.16753i) q^{53} +(-4.79119 - 2.01108i) q^{54} +(-0.551675 - 3.83698i) q^{55} +(-0.594948 + 1.30276i) q^{56} +(-1.10747 + 13.0175i) q^{57} +(5.56817 - 1.63496i) q^{58} +(-11.2477 - 5.13667i) q^{59} +(0.387298 - 1.67164i) q^{60} +(11.4538 - 9.92474i) q^{61} +(0.142484 - 0.0650700i) q^{62} +(0.725802 - 4.23479i) q^{63} +(0.142315 - 0.989821i) q^{64} +(-0.639580 - 0.411033i) q^{65} +(3.16760 + 5.99151i) q^{66} +(1.96590 - 6.69523i) q^{67} +0.485680 q^{68} +(-1.00179 - 8.24599i) q^{69} +1.41884 q^{70} +(4.19016 - 14.2704i) q^{71} +(0.346797 + 2.97989i) q^{72} +(-1.16181 - 0.746652i) q^{73} +(-0.729874 + 5.07638i) q^{74} +(6.82056 - 1.38777i) q^{75} +(6.86120 - 3.13340i) q^{76} +(-4.23518 + 3.66980i) q^{77} +(1.29490 + 0.300013i) q^{78} +(-6.31629 - 2.88455i) q^{79} +(-0.950558 + 0.279109i) q^{80} +(-3.29240 - 8.37616i) q^{81} +(-1.27759 + 2.79752i) q^{82} +(-0.592165 - 4.11860i) q^{83} +(-2.33567 + 0.835496i) q^{84} +(-0.199880 - 0.437676i) q^{85} +(0.233005 - 0.149743i) q^{86} +(8.75631 + 4.93557i) q^{87} +(2.11546 - 3.29172i) q^{88} +(-10.0879 + 11.6421i) q^{89} +(2.54264 - 1.53888i) q^{90} +1.09908i q^{91} +(-3.86336 + 2.84155i) q^{92} +(0.252900 + 0.0982273i) q^{93} +(-6.48472 - 1.90409i) q^{94} +(-5.64740 - 4.89350i) q^{95} +(1.40043 - 1.01921i) q^{96} +(1.80716 + 0.259831i) q^{97} +(2.67556 + 4.16325i) q^{98} +(-3.60937 + 11.1700i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80 q + 4 q^{3} + 8 q^{4} + 4 q^{6}+O(q^{10}) \) Copy content Toggle raw display \( 80 q + 4 q^{3} + 8 q^{4} + 4 q^{6} - 4 q^{12} + 8 q^{13} - 22 q^{15} - 8 q^{16} - 28 q^{18} - 66 q^{21} - 4 q^{24} - 48 q^{25} - 38 q^{27} - 44 q^{30} - 16 q^{31} - 22 q^{33} - 44 q^{37} - 24 q^{39} - 44 q^{43} - 16 q^{46} + 4 q^{48} - 76 q^{49} - 8 q^{52} - 6 q^{54} + 64 q^{55} + 66 q^{57} + 36 q^{58} + 22 q^{60} + 88 q^{61} + 110 q^{63} + 8 q^{64} + 88 q^{66} + 44 q^{67} + 82 q^{69} + 112 q^{70} + 28 q^{72} + 52 q^{73} + 136 q^{75} + 82 q^{78} + 88 q^{79} + 36 q^{81} + 44 q^{82} + 22 q^{84} + 20 q^{85} - 10 q^{87} + 8 q^{93} - 56 q^{94} + 4 q^{96} - 132 q^{97} - 66 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/138\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(97\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.281733 0.959493i 0.199215 0.678464i
\(3\) 1.53123 0.809531i 0.884055 0.467383i
\(4\) −0.841254 0.540641i −0.420627 0.270320i
\(5\) −0.140990 + 0.980604i −0.0630524 + 0.438539i 0.933703 + 0.358049i \(0.116558\pi\)
−0.996755 + 0.0804907i \(0.974351\pi\)
\(6\) −0.345342 1.69727i −0.140985 0.692909i
\(7\) 1.30276 0.594948i 0.492395 0.224869i −0.153712 0.988116i \(-0.549123\pi\)
0.646108 + 0.763246i \(0.276396\pi\)
\(8\) −0.755750 + 0.654861i −0.267198 + 0.231528i
\(9\) 1.68932 2.47915i 0.563107 0.826384i
\(10\) 0.901161 + 0.411546i 0.284972 + 0.130142i
\(11\) −3.75438 + 1.10239i −1.13199 + 0.332382i −0.793489 0.608585i \(-0.791738\pi\)
−0.338500 + 0.940967i \(0.609919\pi\)
\(12\) −1.72582 0.146824i −0.498200 0.0423844i
\(13\) −0.318796 + 0.698067i −0.0884182 + 0.193609i −0.948675 0.316251i \(-0.897576\pi\)
0.860257 + 0.509860i \(0.170303\pi\)
\(14\) −0.203820 1.41760i −0.0544733 0.378870i
\(15\) 0.577942 + 1.61566i 0.149224 + 0.417163i
\(16\) 0.415415 + 0.909632i 0.103854 + 0.227408i
\(17\) −0.408580 + 0.262579i −0.0990953 + 0.0636847i −0.589250 0.807951i \(-0.700577\pi\)
0.490155 + 0.871635i \(0.336940\pi\)
\(18\) −1.90279 2.31935i −0.448493 0.546676i
\(19\) −4.07796 + 6.34543i −0.935548 + 1.45574i −0.0459785 + 0.998942i \(0.514641\pi\)
−0.889570 + 0.456799i \(0.848996\pi\)
\(20\) 0.648762 0.748712i 0.145068 0.167417i
\(21\) 1.51319 1.96562i 0.330204 0.428934i
\(22\) 3.91288i 0.834229i
\(23\) 1.71381 4.47916i 0.357354 0.933969i
\(24\) −0.627095 + 1.61454i −0.128005 + 0.329567i
\(25\) 3.85576 + 1.13215i 0.771152 + 0.226431i
\(26\) 0.579975 + 0.502551i 0.113742 + 0.0985584i
\(27\) 0.579784 5.16371i 0.111579 0.993756i
\(28\) −1.41760 0.203820i −0.267901 0.0385184i
\(29\) 3.13747 + 4.88200i 0.582613 + 0.906564i 0.999998 0.00216601i \(-0.000689464\pi\)
−0.417384 + 0.908730i \(0.637053\pi\)
\(30\) 1.71304 0.0993461i 0.312757 0.0181380i
\(31\) 0.102577 + 0.118380i 0.0184233 + 0.0212616i 0.764886 0.644165i \(-0.222795\pi\)
−0.746463 + 0.665427i \(0.768250\pi\)
\(32\) 0.989821 0.142315i 0.174977 0.0251579i
\(33\) −4.85640 + 4.72729i −0.845390 + 0.822916i
\(34\) 0.136832 + 0.466007i 0.0234665 + 0.0799195i
\(35\) 0.399734 + 1.36137i 0.0675673 + 0.230113i
\(36\) −2.76148 + 1.17228i −0.460246 + 0.195380i
\(37\) −5.07638 + 0.729874i −0.834552 + 0.119991i −0.546327 0.837572i \(-0.683974\pi\)
−0.288226 + 0.957563i \(0.593065\pi\)
\(38\) 4.93950 + 5.70049i 0.801293 + 0.924741i
\(39\) 0.0769565 + 1.32697i 0.0123229 + 0.212486i
\(40\) −0.535606 0.833419i −0.0846868 0.131775i
\(41\) −3.04414 0.437682i −0.475415 0.0683544i −0.0995576 0.995032i \(-0.531743\pi\)
−0.375858 + 0.926677i \(0.622652\pi\)
\(42\) −1.45969 2.00567i −0.225235 0.309482i
\(43\) 0.209322 + 0.181379i 0.0319214 + 0.0276600i 0.670675 0.741751i \(-0.266004\pi\)
−0.638754 + 0.769411i \(0.720550\pi\)
\(44\) 3.75438 + 1.10239i 0.565994 + 0.166191i
\(45\) 2.19289 + 2.00609i 0.326897 + 0.299050i
\(46\) −3.81489 2.90631i −0.562474 0.428512i
\(47\) 6.75849i 0.985827i −0.870078 0.492913i \(-0.835932\pi\)
0.870078 0.492913i \(-0.164068\pi\)
\(48\) 1.37247 + 1.05656i 0.198099 + 0.152502i
\(49\) −3.24082 + 3.74010i −0.462974 + 0.534300i
\(50\) 2.17259 3.38061i 0.307250 0.478090i
\(51\) −0.413064 + 0.732826i −0.0578405 + 0.102616i
\(52\) 0.645592 0.414897i 0.0895275 0.0575358i
\(53\) 1.44656 + 3.16753i 0.198700 + 0.435093i 0.982585 0.185813i \(-0.0594919\pi\)
−0.783885 + 0.620907i \(0.786765\pi\)
\(54\) −4.79119 2.01108i −0.651999 0.273674i
\(55\) −0.551675 3.83698i −0.0743879 0.517379i
\(56\) −0.594948 + 1.30276i −0.0795033 + 0.174088i
\(57\) −1.10747 + 13.0175i −0.146688 + 1.72421i
\(58\) 5.56817 1.63496i 0.731136 0.214681i
\(59\) −11.2477 5.13667i −1.46433 0.668737i −0.485655 0.874151i \(-0.661419\pi\)
−0.978675 + 0.205414i \(0.934146\pi\)
\(60\) 0.387298 1.67164i 0.0500000 0.215808i
\(61\) 11.4538 9.92474i 1.46650 1.27073i 0.574657 0.818395i \(-0.305136\pi\)
0.891847 0.452338i \(-0.149410\pi\)
\(62\) 0.142484 0.0650700i 0.0180954 0.00826390i
\(63\) 0.725802 4.23479i 0.0914425 0.533533i
\(64\) 0.142315 0.989821i 0.0177894 0.123728i
\(65\) −0.639580 0.411033i −0.0793301 0.0509824i
\(66\) 3.16760 + 5.99151i 0.389904 + 0.737504i
\(67\) 1.96590 6.69523i 0.240173 0.817953i −0.747880 0.663834i \(-0.768928\pi\)
0.988052 0.154118i \(-0.0492537\pi\)
\(68\) 0.485680 0.0588974
\(69\) −1.00179 8.24599i −0.120601 0.992701i
\(70\) 1.41884 0.169584
\(71\) 4.19016 14.2704i 0.497281 1.69358i −0.202548 0.979272i \(-0.564922\pi\)
0.699829 0.714311i \(-0.253260\pi\)
\(72\) 0.346797 + 2.97989i 0.0408704 + 0.351183i
\(73\) −1.16181 0.746652i −0.135980 0.0873890i 0.470882 0.882196i \(-0.343936\pi\)
−0.606862 + 0.794807i \(0.707572\pi\)
\(74\) −0.729874 + 5.07638i −0.0848461 + 0.590118i
\(75\) 6.82056 1.38777i 0.787570 0.160246i
\(76\) 6.86120 3.13340i 0.787033 0.359426i
\(77\) −4.23518 + 3.66980i −0.482643 + 0.418213i
\(78\) 1.29490 + 0.300013i 0.146619 + 0.0339698i
\(79\) −6.31629 2.88455i −0.710638 0.324537i 0.0270926 0.999633i \(-0.491375\pi\)
−0.737730 + 0.675096i \(0.764102\pi\)
\(80\) −0.950558 + 0.279109i −0.106276 + 0.0312053i
\(81\) −3.29240 8.37616i −0.365822 0.930685i
\(82\) −1.27759 + 2.79752i −0.141086 + 0.308935i
\(83\) −0.592165 4.11860i −0.0649986 0.452075i −0.996166 0.0874831i \(-0.972118\pi\)
0.931167 0.364592i \(-0.118791\pi\)
\(84\) −2.33567 + 0.835496i −0.254842 + 0.0911601i
\(85\) −0.199880 0.437676i −0.0216800 0.0474726i
\(86\) 0.233005 0.149743i 0.0251256 0.0161472i
\(87\) 8.75631 + 4.93557i 0.938775 + 0.529149i
\(88\) 2.11546 3.29172i 0.225509 0.350899i
\(89\) −10.0879 + 11.6421i −1.06932 + 1.23406i −0.0982759 + 0.995159i \(0.531333\pi\)
−0.971044 + 0.238902i \(0.923213\pi\)
\(90\) 2.54264 1.53888i 0.268017 0.162212i
\(91\) 1.09908i 0.115215i
\(92\) −3.86336 + 2.84155i −0.402783 + 0.296252i
\(93\) 0.252900 + 0.0982273i 0.0262245 + 0.0101857i
\(94\) −6.48472 1.90409i −0.668848 0.196391i
\(95\) −5.64740 4.89350i −0.579411 0.502063i
\(96\) 1.40043 1.01921i 0.142931 0.104022i
\(97\) 1.80716 + 0.259831i 0.183490 + 0.0263818i 0.233447 0.972370i \(-0.424999\pi\)
−0.0499573 + 0.998751i \(0.515909\pi\)
\(98\) 2.67556 + 4.16325i 0.270272 + 0.420552i
\(99\) −3.60937 + 11.1700i −0.362755 + 1.12262i
\(100\) −2.63158 3.03701i −0.263158 0.303701i
\(101\) 10.3179 1.48349i 1.02667 0.147613i 0.391655 0.920112i \(-0.371903\pi\)
0.635016 + 0.772499i \(0.280993\pi\)
\(102\) 0.586768 + 0.602793i 0.0580987 + 0.0596854i
\(103\) −0.265994 0.905893i −0.0262092 0.0892603i 0.945350 0.326058i \(-0.105720\pi\)
−0.971559 + 0.236797i \(0.923902\pi\)
\(104\) −0.216206 0.736331i −0.0212008 0.0722032i
\(105\) 1.71415 + 1.76097i 0.167284 + 0.171853i
\(106\) 3.44676 0.495570i 0.334779 0.0481340i
\(107\) 11.5254 + 13.3011i 1.11421 + 1.28586i 0.954339 + 0.298724i \(0.0965611\pi\)
0.159867 + 0.987139i \(0.448893\pi\)
\(108\) −3.27945 + 4.03053i −0.315566 + 0.387838i
\(109\) −3.94777 6.14285i −0.378128 0.588378i 0.599073 0.800694i \(-0.295536\pi\)
−0.977201 + 0.212316i \(0.931899\pi\)
\(110\) −3.83698 0.551675i −0.365842 0.0526002i
\(111\) −7.18225 + 5.22709i −0.681709 + 0.496134i
\(112\) 1.08237 + 0.937877i 0.102274 + 0.0886211i
\(113\) 16.3239 + 4.79312i 1.53562 + 0.450899i 0.936765 0.349959i \(-0.113804\pi\)
0.598855 + 0.800858i \(0.295623\pi\)
\(114\) 12.1782 + 4.73007i 1.14060 + 0.443012i
\(115\) 4.15065 + 2.31208i 0.387050 + 0.215603i
\(116\) 5.80324i 0.538817i
\(117\) 1.19206 + 1.96960i 0.110206 + 0.182090i
\(118\) −8.09745 + 9.34495i −0.745431 + 0.860273i
\(119\) −0.376059 + 0.585160i −0.0344733 + 0.0536415i
\(120\) −1.49481 0.842566i −0.136457 0.0769154i
\(121\) 3.62633 2.33050i 0.329666 0.211864i
\(122\) −6.29582 13.7859i −0.569997 1.24812i
\(123\) −5.01559 + 1.79414i −0.452241 + 0.161772i
\(124\) −0.0222920 0.155044i −0.00200188 0.0139234i
\(125\) −3.71155 + 8.12716i −0.331971 + 0.726915i
\(126\) −3.85877 1.88948i −0.343766 0.168328i
\(127\) −14.5399 + 4.26930i −1.29021 + 0.378839i −0.853655 0.520839i \(-0.825619\pi\)
−0.436554 + 0.899678i \(0.643801\pi\)
\(128\) −0.909632 0.415415i −0.0804009 0.0367178i
\(129\) 0.467352 + 0.108280i 0.0411481 + 0.00953349i
\(130\) −0.574574 + 0.497871i −0.0503935 + 0.0436662i
\(131\) −11.3332 + 5.17572i −0.990190 + 0.452205i −0.843588 0.536991i \(-0.819561\pi\)
−0.146602 + 0.989196i \(0.546834\pi\)
\(132\) 6.64123 1.35128i 0.578045 0.117614i
\(133\) −1.53738 + 10.6927i −0.133308 + 0.927176i
\(134\) −5.87017 3.77253i −0.507105 0.325897i
\(135\) 4.98181 + 1.29657i 0.428766 + 0.111591i
\(136\) 0.136832 0.466007i 0.0117332 0.0399598i
\(137\) −0.183210 −0.0156527 −0.00782633 0.999969i \(-0.502491\pi\)
−0.00782633 + 0.999969i \(0.502491\pi\)
\(138\) −8.19421 1.36196i −0.697537 0.115938i
\(139\) 17.5005 1.48437 0.742185 0.670195i \(-0.233790\pi\)
0.742185 + 0.670195i \(0.233790\pi\)
\(140\) 0.399734 1.36137i 0.0337837 0.115057i
\(141\) −5.47120 10.3488i −0.460758 0.871525i
\(142\) −12.5118 8.04086i −1.04997 0.674774i
\(143\) 0.427344 2.97224i 0.0357363 0.248552i
\(144\) 2.95689 + 0.506782i 0.246407 + 0.0422318i
\(145\) −5.22965 + 2.38830i −0.434299 + 0.198338i
\(146\) −1.04373 + 0.904395i −0.0863795 + 0.0748483i
\(147\) −1.93470 + 8.35049i −0.159572 + 0.688737i
\(148\) 4.66513 + 2.13049i 0.383471 + 0.175125i
\(149\) 13.0310 3.82624i 1.06754 0.313458i 0.299656 0.954047i \(-0.403128\pi\)
0.767884 + 0.640589i \(0.221310\pi\)
\(150\) 0.590017 6.93526i 0.0481747 0.566262i
\(151\) 5.10763 11.1842i 0.415653 0.910154i −0.579787 0.814768i \(-0.696864\pi\)
0.995440 0.0953856i \(-0.0304084\pi\)
\(152\) −1.07346 7.46605i −0.0870688 0.605577i
\(153\) −0.0392503 + 1.45651i −0.00317320 + 0.117752i
\(154\) 2.32796 + 5.09752i 0.187592 + 0.410770i
\(155\) −0.130546 + 0.0838966i −0.0104857 + 0.00673874i
\(156\) 0.652677 1.15793i 0.0522560 0.0927084i
\(157\) −6.14901 + 9.56805i −0.490745 + 0.763613i −0.994993 0.0999453i \(-0.968133\pi\)
0.504248 + 0.863559i \(0.331770\pi\)
\(158\) −4.54721 + 5.24776i −0.361757 + 0.417489i
\(159\) 4.77923 + 3.67917i 0.379017 + 0.291777i
\(160\) 0.990687i 0.0783207i
\(161\) −0.432196 6.85488i −0.0340618 0.540240i
\(162\) −8.96445 + 0.799194i −0.704313 + 0.0627906i
\(163\) −14.2895 4.19578i −1.11924 0.328639i −0.330770 0.943711i \(-0.607308\pi\)
−0.788470 + 0.615073i \(0.789127\pi\)
\(164\) 2.32427 + 2.01399i 0.181495 + 0.157266i
\(165\) −3.95090 5.42870i −0.307577 0.422624i
\(166\) −4.11860 0.592165i −0.319665 0.0459609i
\(167\) 12.0382 + 18.7318i 0.931541 + 1.44951i 0.892901 + 0.450254i \(0.148666\pi\)
0.0386407 + 0.999253i \(0.487697\pi\)
\(168\) 0.143619 + 2.47644i 0.0110804 + 0.191062i
\(169\) 8.12752 + 9.37966i 0.625194 + 0.721512i
\(170\) −0.476260 + 0.0684758i −0.0365275 + 0.00525186i
\(171\) 8.84231 + 20.8293i 0.676189 + 1.59286i
\(172\) −0.0780324 0.265754i −0.00594991 0.0202635i
\(173\) 0.0580449 + 0.197683i 0.00441307 + 0.0150295i 0.961670 0.274209i \(-0.0884161\pi\)
−0.957257 + 0.289239i \(0.906598\pi\)
\(174\) 7.20259 7.01110i 0.546027 0.531510i
\(175\) 5.69668 0.819059i 0.430629 0.0619151i
\(176\) −2.56239 2.95716i −0.193148 0.222904i
\(177\) −21.3811 + 1.23998i −1.60710 + 0.0932023i
\(178\) 8.32842 + 12.9593i 0.624241 + 0.971338i
\(179\) −9.06212 1.30294i −0.677335 0.0973860i −0.204942 0.978774i \(-0.565701\pi\)
−0.472393 + 0.881388i \(0.656610\pi\)
\(180\) −0.760204 2.87319i −0.0566622 0.214155i
\(181\) −4.13527 3.58323i −0.307372 0.266339i 0.487491 0.873128i \(-0.337912\pi\)
−0.794863 + 0.606788i \(0.792458\pi\)
\(182\) 1.05456 + 0.309646i 0.0781690 + 0.0229525i
\(183\) 9.50394 24.4692i 0.702551 1.80882i
\(184\) 1.63802 + 4.50743i 0.120756 + 0.332292i
\(185\) 5.08083i 0.373550i
\(186\) 0.165499 0.214982i 0.0121349 0.0157632i
\(187\) 1.24450 1.43623i 0.0910071 0.105028i
\(188\) −3.65391 + 5.68560i −0.266489 + 0.414665i
\(189\) −2.31682 7.07199i −0.168524 0.514411i
\(190\) −6.28634 + 4.03998i −0.456059 + 0.293091i
\(191\) −5.03496 11.0250i −0.364317 0.797743i −0.999674 0.0255246i \(-0.991874\pi\)
0.635357 0.772218i \(-0.280853\pi\)
\(192\) −0.583374 1.63085i −0.0421014 0.117697i
\(193\) −1.81945 12.6545i −0.130967 0.910893i −0.944298 0.329092i \(-0.893257\pi\)
0.813331 0.581801i \(-0.197652\pi\)
\(194\) 0.758443 1.66076i 0.0544530 0.119236i
\(195\) −1.31209 0.111626i −0.0939605 0.00799369i
\(196\) 4.74840 1.39426i 0.339172 0.0995897i
\(197\) 19.9545 + 9.11293i 1.42170 + 0.649269i 0.970045 0.242923i \(-0.0781064\pi\)
0.451655 + 0.892192i \(0.350834\pi\)
\(198\) 9.70063 + 6.61011i 0.689394 + 0.469760i
\(199\) −3.00738 + 2.60591i −0.213188 + 0.184728i −0.754908 0.655830i \(-0.772319\pi\)
0.541720 + 0.840559i \(0.317773\pi\)
\(200\) −3.65539 + 1.66936i −0.258475 + 0.118042i
\(201\) −2.40976 11.8434i −0.169971 0.835368i
\(202\) 1.48349 10.3179i 0.104378 0.725966i
\(203\) 6.99189 + 4.49342i 0.490735 + 0.315376i
\(204\) 0.743687 0.393173i 0.0520685 0.0275276i
\(205\) 0.858385 2.92339i 0.0599522 0.204178i
\(206\) −0.944137 −0.0657812
\(207\) −8.20935 11.8155i −0.570589 0.821236i
\(208\) −0.767417 −0.0532108
\(209\) 8.31510 28.3186i 0.575168 1.95884i
\(210\) 2.17257 1.14860i 0.149922 0.0792606i
\(211\) 20.5417 + 13.2013i 1.41415 + 0.908818i 0.999999 0.00139133i \(-0.000442876\pi\)
0.414149 + 0.910209i \(0.364079\pi\)
\(212\) 0.495570 3.44676i 0.0340359 0.236725i
\(213\) −5.13622 25.2433i −0.351928 1.72964i
\(214\) 16.0094 7.31124i 1.09438 0.499786i
\(215\) −0.207373 + 0.179690i −0.0141427 + 0.0122547i
\(216\) 2.94334 + 4.28215i 0.200269 + 0.291363i
\(217\) 0.204062 + 0.0931919i 0.0138526 + 0.00632628i
\(218\) −7.00624 + 2.05722i −0.474522 + 0.139332i
\(219\) −2.38344 0.202771i −0.161058 0.0137020i
\(220\) −1.61033 + 3.52613i −0.108569 + 0.237732i
\(221\) −0.0530435 0.368925i −0.00356809 0.0248166i
\(222\) 2.99189 + 8.36396i 0.200802 + 0.561352i
\(223\) 12.2322 + 26.7848i 0.819131 + 1.79365i 0.561681 + 0.827354i \(0.310155\pi\)
0.257450 + 0.966292i \(0.417118\pi\)
\(224\) 1.20483 0.774294i 0.0805008 0.0517347i
\(225\) 9.32039 7.64645i 0.621359 0.509763i
\(226\) 9.19793 14.3123i 0.611837 0.952037i
\(227\) −12.6932 + 14.6488i −0.842480 + 0.972273i −0.999884 0.0152611i \(-0.995142\pi\)
0.157404 + 0.987534i \(0.449688\pi\)
\(228\) 7.96947 10.3523i 0.527791 0.685598i
\(229\) 5.01011i 0.331077i −0.986203 0.165539i \(-0.947064\pi\)
0.986203 0.165539i \(-0.0529362\pi\)
\(230\) 3.38780 3.33113i 0.223385 0.219648i
\(231\) −3.51420 + 9.04781i −0.231218 + 0.595302i
\(232\) −5.56817 1.63496i −0.365568 0.107341i
\(233\) −3.51005 3.04148i −0.229951 0.199254i 0.532262 0.846579i \(-0.321342\pi\)
−0.762214 + 0.647326i \(0.775887\pi\)
\(234\) 2.22566 0.588877i 0.145496 0.0384961i
\(235\) 6.62740 + 0.952876i 0.432324 + 0.0621588i
\(236\) 6.68510 + 10.4022i 0.435163 + 0.677127i
\(237\) −12.0068 + 0.696322i −0.779926 + 0.0452310i
\(238\) 0.455509 + 0.525685i 0.0295262 + 0.0340751i
\(239\) 2.60852 0.375049i 0.168731 0.0242599i −0.0574313 0.998349i \(-0.518291\pi\)
0.226163 + 0.974090i \(0.427382\pi\)
\(240\) −1.22957 + 1.19689i −0.0793686 + 0.0772586i
\(241\) −2.87433 9.78906i −0.185152 0.630569i −0.998789 0.0491963i \(-0.984334\pi\)
0.813637 0.581373i \(-0.197484\pi\)
\(242\) −1.21444 4.13602i −0.0780674 0.265873i
\(243\) −11.8222 10.1605i −0.758393 0.651798i
\(244\) −15.0012 + 2.15685i −0.960355 + 0.138078i
\(245\) −3.21064 3.70527i −0.205120 0.236721i
\(246\) 0.308406 + 5.31789i 0.0196632 + 0.339057i
\(247\) −3.12949 4.86959i −0.199125 0.309845i
\(248\) −0.155044 0.0222920i −0.00984532 0.00141554i
\(249\) −4.24087 5.82714i −0.268754 0.369280i
\(250\) 6.75228 + 5.85089i 0.427052 + 0.370043i
\(251\) 1.96014 + 0.575550i 0.123723 + 0.0363284i 0.343008 0.939332i \(-0.388554\pi\)
−0.219285 + 0.975661i \(0.570372\pi\)
\(252\) −2.90008 + 3.17013i −0.182688 + 0.199700i
\(253\) −1.49653 + 18.7057i −0.0940858 + 1.17602i
\(254\) 15.1537i 0.950831i
\(255\) −0.660374 0.508373i −0.0413542 0.0318356i
\(256\) −0.654861 + 0.755750i −0.0409288 + 0.0472343i
\(257\) 4.76670 7.41713i 0.297339 0.462668i −0.660152 0.751132i \(-0.729508\pi\)
0.957491 + 0.288464i \(0.0931446\pi\)
\(258\) 0.235562 0.417915i 0.0146654 0.0260183i
\(259\) −6.17905 + 3.97103i −0.383947 + 0.246748i
\(260\) 0.315828 + 0.691566i 0.0195868 + 0.0428891i
\(261\) 17.4034 + 0.468989i 1.07724 + 0.0290297i
\(262\) 1.77312 + 12.3323i 0.109544 + 0.761894i
\(263\) 6.87563 15.0555i 0.423969 0.928363i −0.570298 0.821438i \(-0.693172\pi\)
0.994267 0.106925i \(-0.0341005\pi\)
\(264\) 0.574504 6.75291i 0.0353583 0.415613i
\(265\) −3.31004 + 0.971915i −0.203334 + 0.0597043i
\(266\) 9.82646 + 4.48759i 0.602499 + 0.275152i
\(267\) −6.02230 + 25.9932i −0.368559 + 1.59076i
\(268\) −5.27353 + 4.56954i −0.322132 + 0.279129i
\(269\) −9.85091 + 4.49876i −0.600620 + 0.274294i −0.692433 0.721482i \(-0.743461\pi\)
0.0918126 + 0.995776i \(0.470734\pi\)
\(270\) 2.64758 4.41472i 0.161127 0.268671i
\(271\) 0.0562958 0.391546i 0.00341972 0.0237847i −0.988040 0.154197i \(-0.950721\pi\)
0.991460 + 0.130412i \(0.0416301\pi\)
\(272\) −0.408580 0.262579i −0.0247738 0.0159212i
\(273\) 0.889737 + 1.68294i 0.0538493 + 0.101856i
\(274\) −0.0516162 + 0.175788i −0.00311825 + 0.0106198i
\(275\) −15.7241 −0.948196
\(276\) −3.61537 + 7.47858i −0.217619 + 0.450158i
\(277\) −17.2310 −1.03531 −0.517655 0.855589i \(-0.673195\pi\)
−0.517655 + 0.855589i \(0.673195\pi\)
\(278\) 4.93045 16.7916i 0.295709 1.00709i
\(279\) 0.466766 0.0543218i 0.0279445 0.00325216i
\(280\) −1.19361 0.767084i −0.0713316 0.0458420i
\(281\) 1.06794 7.42768i 0.0637079 0.443098i −0.932855 0.360253i \(-0.882690\pi\)
0.996562 0.0828450i \(-0.0264006\pi\)
\(282\) −11.4710 + 2.33399i −0.683088 + 0.138987i
\(283\) −23.3663 + 10.6710i −1.38898 + 0.634327i −0.962776 0.270299i \(-0.912877\pi\)
−0.426206 + 0.904626i \(0.640150\pi\)
\(284\) −11.2401 + 9.73964i −0.666980 + 0.577941i
\(285\) −12.6089 2.92132i −0.746887 0.173044i
\(286\) −2.73145 1.24741i −0.161514 0.0737610i
\(287\) −4.22617 + 1.24092i −0.249463 + 0.0732490i
\(288\) 1.31930 2.69433i 0.0777408 0.158765i
\(289\) −6.96406 + 15.2492i −0.409651 + 0.897010i
\(290\) 0.818196 + 5.69068i 0.0480461 + 0.334168i
\(291\) 2.97752 1.06509i 0.174545 0.0624370i
\(292\) 0.573709 + 1.25625i 0.0335738 + 0.0735163i
\(293\) −20.1565 + 12.9538i −1.17755 + 0.756768i −0.974935 0.222490i \(-0.928582\pi\)
−0.202619 + 0.979258i \(0.564945\pi\)
\(294\) 7.46717 + 4.20894i 0.435494 + 0.245470i
\(295\) 6.62285 10.3054i 0.385597 0.600001i
\(296\) 3.35851 3.87593i 0.195209 0.225284i
\(297\) 3.51567 + 20.0257i 0.204000 + 1.16201i
\(298\) 13.5811i 0.786733i
\(299\) 2.58040 + 2.62429i 0.149228 + 0.151767i
\(300\) −6.48811 2.52001i −0.374591 0.145493i
\(301\) 0.380607 + 0.111756i 0.0219378 + 0.00644153i
\(302\) −9.29213 8.05168i −0.534702 0.463322i
\(303\) 14.5982 10.6242i 0.838642 0.610347i
\(304\) −7.46605 1.07346i −0.428207 0.0615669i
\(305\) 8.11737 + 12.6309i 0.464800 + 0.723242i
\(306\) 1.38645 + 0.448007i 0.0792583 + 0.0256109i
\(307\) 4.57183 + 5.27617i 0.260928 + 0.301127i 0.871064 0.491170i \(-0.163431\pi\)
−0.610136 + 0.792297i \(0.708885\pi\)
\(308\) 5.54690 0.797524i 0.316064 0.0454432i
\(309\) −1.14065 1.17180i −0.0648891 0.0666613i
\(310\) 0.0437192 + 0.148894i 0.00248309 + 0.00845662i
\(311\) 5.38154 + 18.3278i 0.305159 + 1.03928i 0.959179 + 0.282799i \(0.0912628\pi\)
−0.654020 + 0.756477i \(0.726919\pi\)
\(312\) −0.927144 0.952465i −0.0524892 0.0539227i
\(313\) 6.86238 0.986661i 0.387885 0.0557694i 0.0543860 0.998520i \(-0.482680\pi\)
0.333499 + 0.942751i \(0.391771\pi\)
\(314\) 7.44810 + 8.59556i 0.420321 + 0.485076i
\(315\) 4.05032 + 1.30879i 0.228210 + 0.0737417i
\(316\) 3.75409 + 5.84148i 0.211184 + 0.328609i
\(317\) −9.15329 1.31604i −0.514100 0.0739164i −0.119618 0.992820i \(-0.538167\pi\)
−0.394482 + 0.918904i \(0.629076\pi\)
\(318\) 4.87660 3.54909i 0.273466 0.199023i
\(319\) −17.1611 14.8702i −0.960837 0.832570i
\(320\) 0.950558 + 0.279109i 0.0531378 + 0.0156027i
\(321\) 28.4157 + 11.0368i 1.58601 + 0.616013i
\(322\) −6.69897 1.51655i −0.373319 0.0845142i
\(323\) 3.66340i 0.203837i
\(324\) −1.75876 + 8.82648i −0.0977086 + 0.490360i
\(325\) −2.01952 + 2.33065i −0.112023 + 0.129281i
\(326\) −8.05163 + 12.5286i −0.445939 + 0.693894i
\(327\) −11.0178 6.21027i −0.609284 0.343428i
\(328\) 2.58723 1.66271i 0.142856 0.0918079i
\(329\) −4.02095 8.80465i −0.221682 0.485416i
\(330\) −6.32190 + 2.26142i −0.348009 + 0.124487i
\(331\) −2.38295 16.5738i −0.130979 0.910979i −0.944282 0.329138i \(-0.893242\pi\)
0.813303 0.581841i \(-0.197667\pi\)
\(332\) −1.72852 + 3.78493i −0.0948649 + 0.207725i
\(333\) −6.76617 + 13.8181i −0.370784 + 0.757228i
\(334\) 21.3645 6.27319i 1.16902 0.343254i
\(335\) 6.28820 + 2.87172i 0.343561 + 0.156899i
\(336\) 2.41659 + 0.559894i 0.131836 + 0.0305447i
\(337\) 14.2763 12.3705i 0.777680 0.673864i −0.172693 0.984976i \(-0.555247\pi\)
0.950373 + 0.311112i \(0.100701\pi\)
\(338\) 11.2895 5.15575i 0.614068 0.280436i
\(339\) 28.8757 5.87531i 1.56831 0.319103i
\(340\) −0.0684758 + 0.476260i −0.00371362 + 0.0258288i
\(341\) −0.515611 0.331363i −0.0279219 0.0179443i
\(342\) 22.4768 2.61583i 1.21541 0.141448i
\(343\) −4.82126 + 16.4197i −0.260324 + 0.886581i
\(344\) −0.276973 −0.0149334
\(345\) 8.22729 + 0.180244i 0.442943 + 0.00970400i
\(346\) 0.206028 0.0110761
\(347\) −4.55189 + 15.5023i −0.244358 + 0.832209i 0.742392 + 0.669965i \(0.233691\pi\)
−0.986751 + 0.162243i \(0.948127\pi\)
\(348\) −4.69790 8.88609i −0.251834 0.476344i
\(349\) 11.3922 + 7.32134i 0.609812 + 0.391902i 0.808786 0.588102i \(-0.200125\pi\)
−0.198975 + 0.980005i \(0.563761\pi\)
\(350\) 0.819059 5.69668i 0.0437806 0.304501i
\(351\) 3.41978 + 2.05090i 0.182534 + 0.109469i
\(352\) −3.55928 + 1.62547i −0.189710 + 0.0866378i
\(353\) 9.20121 7.97289i 0.489731 0.424354i −0.374669 0.927158i \(-0.622244\pi\)
0.864400 + 0.502804i \(0.167698\pi\)
\(354\) −4.83401 + 20.8644i −0.256925 + 1.10893i
\(355\) 13.4028 + 6.12086i 0.711348 + 0.324862i
\(356\) 14.7807 4.34001i 0.783376 0.230020i
\(357\) −0.102128 + 1.20044i −0.00540518 + 0.0635343i
\(358\) −3.80325 + 8.32796i −0.201008 + 0.440146i
\(359\) −3.84519 26.7439i −0.202941 1.41149i −0.795496 0.605959i \(-0.792790\pi\)
0.592555 0.805530i \(-0.298119\pi\)
\(360\) −2.97098 0.0800625i −0.156585 0.00421966i
\(361\) −15.7418 34.4698i −0.828518 1.81420i
\(362\) −4.60312 + 2.95825i −0.241935 + 0.155482i
\(363\) 3.66613 6.50416i 0.192422 0.341380i
\(364\) 0.594206 0.924603i 0.0311449 0.0484624i
\(365\) 0.895973 1.03401i 0.0468974 0.0541225i
\(366\) −20.8005 16.0127i −1.08726 0.836999i
\(367\) 19.0718i 0.995540i −0.867309 0.497770i \(-0.834152\pi\)
0.867309 0.497770i \(-0.165848\pi\)
\(368\) 4.78633 0.301775i 0.249505 0.0157311i
\(369\) −6.22761 + 6.80751i −0.324196 + 0.354385i
\(370\) −4.87502 1.43143i −0.253440 0.0744167i
\(371\) 3.76903 + 3.26588i 0.195678 + 0.169556i
\(372\) −0.159647 0.219362i −0.00827733 0.0113734i
\(373\) 19.5863 + 2.81609i 1.01414 + 0.145811i 0.629292 0.777169i \(-0.283345\pi\)
0.384848 + 0.922980i \(0.374254\pi\)
\(374\) −1.02744 1.59873i −0.0531276 0.0826681i
\(375\) 0.895956 + 15.4491i 0.0462670 + 0.797790i
\(376\) 4.42587 + 5.10772i 0.228247 + 0.263411i
\(377\) −4.40817 + 0.633800i −0.227032 + 0.0326423i
\(378\) −7.43824 + 0.230566i −0.382582 + 0.0118590i
\(379\) −8.21058 27.9627i −0.421749 1.43635i −0.847156 0.531344i \(-0.821687\pi\)
0.425407 0.905002i \(-0.360131\pi\)
\(380\) 2.10527 + 7.16989i 0.107998 + 0.367808i
\(381\) −18.8078 + 18.3078i −0.963553 + 0.937936i
\(382\) −11.9969 + 1.72490i −0.613817 + 0.0882536i
\(383\) −1.56512 1.80624i −0.0799739 0.0922948i 0.714352 0.699786i \(-0.246721\pi\)
−0.794326 + 0.607491i \(0.792176\pi\)
\(384\) −1.72915 + 0.100280i −0.0882401 + 0.00511739i
\(385\) −3.00151 4.67043i −0.152971 0.238027i
\(386\) −12.6545 1.81945i −0.644099 0.0926074i
\(387\) 0.803279 0.212535i 0.0408330 0.0108038i
\(388\) −1.37981 1.19561i −0.0700492 0.0606979i
\(389\) −11.8783 3.48779i −0.602255 0.176838i −0.0336295 0.999434i \(-0.510707\pi\)
−0.568626 + 0.822596i \(0.692525\pi\)
\(390\) −0.476762 + 1.22749i −0.0241418 + 0.0621563i
\(391\) 0.475903 + 2.28010i 0.0240675 + 0.115310i
\(392\) 4.94886i 0.249955i
\(393\) −13.1639 + 17.0998i −0.664030 + 0.862572i
\(394\) 14.3656 16.5788i 0.723730 0.835229i
\(395\) 3.71913 5.78708i 0.187130 0.291180i
\(396\) 9.07533 7.44540i 0.456053 0.374145i
\(397\) 14.8999 9.57558i 0.747804 0.480584i −0.110404 0.993887i \(-0.535214\pi\)
0.858208 + 0.513302i \(0.171578\pi\)
\(398\) 1.65308 + 3.61973i 0.0828613 + 0.181441i
\(399\) 6.30200 + 17.6176i 0.315495 + 0.881981i
\(400\) 0.571898 + 3.97764i 0.0285949 + 0.198882i
\(401\) −2.33475 + 5.11239i −0.116592 + 0.255300i −0.958927 0.283654i \(-0.908453\pi\)
0.842335 + 0.538955i \(0.181181\pi\)
\(402\) −12.0425 1.02452i −0.600628 0.0510984i
\(403\) −0.115338 + 0.0338663i −0.00574539 + 0.00168700i
\(404\) −9.48202 4.33029i −0.471748 0.215440i
\(405\) 8.67789 2.04759i 0.431208 0.101745i
\(406\) 6.28124 5.44273i 0.311733 0.270118i
\(407\) 18.2541 8.33636i 0.904821 0.413218i
\(408\) −0.167726 0.824332i −0.00830367 0.0408105i
\(409\) −2.37432 + 16.5137i −0.117402 + 0.816552i 0.842996 + 0.537920i \(0.180790\pi\)
−0.960398 + 0.278632i \(0.910119\pi\)
\(410\) −2.56314 1.64723i −0.126584 0.0813508i
\(411\) −0.280536 + 0.148314i −0.0138378 + 0.00731579i
\(412\) −0.265994 + 0.905893i −0.0131046 + 0.0446302i
\(413\) −17.7091 −0.871408
\(414\) −13.6498 + 4.54800i −0.670849 + 0.223522i
\(415\) 4.12220 0.202351
\(416\) −0.216206 + 0.736331i −0.0106004 + 0.0361016i
\(417\) 26.7972 14.1672i 1.31226 0.693769i
\(418\) −24.8289 15.9566i −1.21442 0.780461i
\(419\) −2.39837 + 16.6811i −0.117168 + 0.814923i 0.843481 + 0.537159i \(0.180502\pi\)
−0.960649 + 0.277764i \(0.910407\pi\)
\(420\) −0.489986 2.40816i −0.0239089 0.117506i
\(421\) 21.5533 9.84305i 1.05044 0.479721i 0.186051 0.982540i \(-0.440431\pi\)
0.864392 + 0.502819i \(0.167704\pi\)
\(422\) 18.4539 15.9904i 0.898320 0.778398i
\(423\) −16.7553 11.4172i −0.814672 0.555125i
\(424\) −3.16753 1.44656i −0.153829 0.0702512i
\(425\) −1.87267 + 0.549864i −0.0908376 + 0.0266723i
\(426\) −25.6678 2.18369i −1.24361 0.105800i
\(427\) 9.01674 19.7439i 0.436350 0.955474i
\(428\) −2.50472 17.4207i −0.121070 0.842061i
\(429\) −1.75176 4.89713i −0.0845759 0.236436i
\(430\) 0.113987 + 0.249598i 0.00549696 + 0.0120367i
\(431\) −13.4649 + 8.65334i −0.648579 + 0.416817i −0.823147 0.567829i \(-0.807784\pi\)
0.174567 + 0.984645i \(0.444147\pi\)
\(432\) 4.93792 1.61769i 0.237576 0.0778312i
\(433\) −7.75522 + 12.0674i −0.372692 + 0.579920i −0.976049 0.217551i \(-0.930193\pi\)
0.603357 + 0.797471i \(0.293829\pi\)
\(434\) 0.146908 0.169541i 0.00705180 0.00813821i
\(435\) −6.07439 + 7.89060i −0.291245 + 0.378325i
\(436\) 7.30202i 0.349703i
\(437\) 21.4333 + 29.1407i 1.02530 + 1.39399i
\(438\) −0.866050 + 2.22977i −0.0413814 + 0.106542i
\(439\) 7.16787 + 2.10468i 0.342104 + 0.100451i 0.448271 0.893898i \(-0.352040\pi\)
−0.106168 + 0.994348i \(0.533858\pi\)
\(440\) 2.92962 + 2.53853i 0.139664 + 0.121020i
\(441\) 3.79751 + 14.3527i 0.180834 + 0.683462i
\(442\) −0.368925 0.0530435i −0.0175480 0.00252302i
\(443\) −12.3954 19.2876i −0.588923 0.916383i −0.999989 0.00477675i \(-0.998480\pi\)
0.411065 0.911606i \(-0.365157\pi\)
\(444\) 8.86807 0.514294i 0.420860 0.0244073i
\(445\) −9.99400 11.5337i −0.473761 0.546749i
\(446\) 29.1461 4.19057i 1.38011 0.198429i
\(447\) 16.8559 16.4078i 0.797259 0.776064i
\(448\) −0.403491 1.37417i −0.0190632 0.0649232i
\(449\) 0.217998 + 0.742433i 0.0102880 + 0.0350376i 0.964477 0.264167i \(-0.0850969\pi\)
−0.954189 + 0.299204i \(0.903279\pi\)
\(450\) −4.71086 11.0971i −0.222072 0.523122i
\(451\) 11.9114 1.71260i 0.560884 0.0806430i
\(452\) −11.1412 12.8576i −0.524036 0.604769i
\(453\) −1.23297 21.2603i −0.0579298 0.998895i
\(454\) 10.4793 + 16.3061i 0.491818 + 0.765283i
\(455\) −1.07776 0.154958i −0.0505261 0.00726456i
\(456\) −7.68771 10.5632i −0.360010 0.494669i
\(457\) 2.76305 + 2.39420i 0.129250 + 0.111996i 0.717087 0.696983i \(-0.245475\pi\)
−0.587837 + 0.808979i \(0.700020\pi\)
\(458\) −4.80716 1.41151i −0.224624 0.0659555i
\(459\) 1.11899 + 2.26203i 0.0522300 + 0.105582i
\(460\) −2.24174 4.18906i −0.104522 0.195316i
\(461\) 3.07655i 0.143289i 0.997430 + 0.0716446i \(0.0228247\pi\)
−0.997430 + 0.0716446i \(0.977175\pi\)
\(462\) 7.69124 + 5.92092i 0.357829 + 0.275466i
\(463\) −5.05378 + 5.83237i −0.234869 + 0.271053i −0.860933 0.508718i \(-0.830119\pi\)
0.626064 + 0.779772i \(0.284665\pi\)
\(464\) −3.13747 + 4.88200i −0.145653 + 0.226641i
\(465\) −0.131978 + 0.234146i −0.00612035 + 0.0108582i
\(466\) −3.90718 + 2.51099i −0.180996 + 0.116319i
\(467\) −2.39118 5.23595i −0.110651 0.242291i 0.846204 0.532860i \(-0.178883\pi\)
−0.956854 + 0.290569i \(0.906155\pi\)
\(468\) 0.0620188 2.30141i 0.00286682 0.106383i
\(469\) −1.42223 9.89185i −0.0656727 0.456763i
\(470\) 2.78143 6.09048i 0.128298 0.280933i
\(471\) −1.66991 + 19.6287i −0.0769454 + 0.904442i
\(472\) 11.8643 3.48366i 0.546097 0.160349i
\(473\) −0.985826 0.450212i −0.0453283 0.0207007i
\(474\) −2.71459 + 11.7166i −0.124685 + 0.538162i
\(475\) −22.9076 + 19.8496i −1.05107 + 0.910761i
\(476\) 0.632723 0.288955i 0.0290008 0.0132442i
\(477\) 10.2965 + 1.76472i 0.471444 + 0.0808010i
\(478\) 0.375049 2.60852i 0.0171543 0.119311i
\(479\) 15.7608 + 10.1288i 0.720129 + 0.462799i 0.848682 0.528904i \(-0.177397\pi\)
−0.128553 + 0.991703i \(0.541033\pi\)
\(480\) 0.801992 + 1.51697i 0.0366058 + 0.0692398i
\(481\) 1.10883 3.77634i 0.0505584 0.172186i
\(482\) −10.2023 −0.464703
\(483\) −6.21102 10.1465i −0.282611 0.461682i
\(484\) −4.31063 −0.195938
\(485\) −0.509583 + 1.73548i −0.0231390 + 0.0788040i
\(486\) −13.0796 + 8.48074i −0.593305 + 0.384694i
\(487\) 10.0131 + 6.43504i 0.453737 + 0.291599i 0.747479 0.664286i \(-0.231264\pi\)
−0.293741 + 0.955885i \(0.594900\pi\)
\(488\) −2.15685 + 15.0012i −0.0976361 + 0.679074i
\(489\) −25.2771 + 5.14310i −1.14307 + 0.232579i
\(490\) −4.45972 + 2.03669i −0.201470 + 0.0920082i
\(491\) 3.89586 3.37578i 0.175818 0.152347i −0.562507 0.826793i \(-0.690163\pi\)
0.738324 + 0.674446i \(0.235617\pi\)
\(492\) 5.18937 + 1.20231i 0.233955 + 0.0542044i
\(493\) −2.56382 1.17086i −0.115468 0.0527327i
\(494\) −5.55402 + 1.63081i −0.249887 + 0.0733735i
\(495\) −10.4444 5.11421i −0.469442 0.229867i
\(496\) −0.0650700 + 0.142484i −0.00292173 + 0.00639770i
\(497\) −3.03139 21.0837i −0.135976 0.945735i
\(498\) −6.78589 + 2.42739i −0.304083 + 0.108774i
\(499\) −6.44830 14.1198i −0.288666 0.632090i 0.708630 0.705580i \(-0.249313\pi\)
−0.997296 + 0.0734905i \(0.976586\pi\)
\(500\) 7.51622 4.83038i 0.336136 0.216021i
\(501\) 33.5971 + 18.9373i 1.50101 + 0.846057i
\(502\) 1.10447 1.71859i 0.0492950 0.0767045i
\(503\) 0.00837455 0.00966474i 0.000373403 0.000430930i −0.755563 0.655076i \(-0.772637\pi\)
0.755936 + 0.654645i \(0.227182\pi\)
\(504\) 2.22467 + 3.67574i 0.0990947 + 0.163730i
\(505\) 10.3269i 0.459543i
\(506\) 17.5264 + 6.70592i 0.779144 + 0.298115i
\(507\) 20.0382 + 7.78292i 0.889929 + 0.345652i
\(508\) 14.5399 + 4.26930i 0.645104 + 0.189420i
\(509\) 21.0985 + 18.2819i 0.935174 + 0.810333i 0.982060 0.188567i \(-0.0603844\pi\)
−0.0468863 + 0.998900i \(0.514930\pi\)
\(510\) −0.673829 + 0.490399i −0.0298377 + 0.0217152i
\(511\) −1.95778 0.281486i −0.0866070 0.0124522i
\(512\) 0.540641 + 0.841254i 0.0238932 + 0.0371785i
\(513\) 30.4016 + 24.7364i 1.34226 + 1.09214i
\(514\) −5.77375 6.66326i −0.254669 0.293904i
\(515\) 0.925825 0.133113i 0.0407967 0.00586568i
\(516\) −0.334621 0.343760i −0.0147309 0.0151332i
\(517\) 7.45046 + 25.3739i 0.327671 + 1.11594i
\(518\) 2.06934 + 7.04752i 0.0909216 + 0.309650i
\(519\) 0.248910 + 0.255708i 0.0109259 + 0.0112243i
\(520\) 0.752532 0.108198i 0.0330007 0.00474478i
\(521\) −8.85887 10.2237i −0.388114 0.447907i 0.527748 0.849401i \(-0.323037\pi\)
−0.915862 + 0.401494i \(0.868491\pi\)
\(522\) 5.35310 16.5663i 0.234299 0.725088i
\(523\) 6.32151 + 9.83647i 0.276421 + 0.430119i 0.951510 0.307617i \(-0.0995315\pi\)
−0.675090 + 0.737736i \(0.735895\pi\)
\(524\) 12.3323 + 1.77312i 0.538741 + 0.0774592i
\(525\) 8.05987 5.86581i 0.351762 0.256005i
\(526\) −12.5086 10.8387i −0.545400 0.472592i
\(527\) −0.0729947 0.0214332i −0.00317970 0.000933644i
\(528\) −6.31752 2.45375i −0.274935 0.106786i
\(529\) −17.1257 15.3528i −0.744597 0.667515i
\(530\) 3.44978i 0.149849i
\(531\) −31.7356 + 19.2074i −1.37721 + 0.833529i
\(532\) 7.07425 8.16412i 0.306708 0.353959i
\(533\) 1.27599 1.98548i 0.0552694 0.0860008i
\(534\) 23.2436 + 13.1015i 1.00585 + 0.566957i
\(535\) −14.6680 + 9.42658i −0.634155 + 0.407547i
\(536\) 2.89872 + 6.34731i 0.125206 + 0.274162i
\(537\) −14.9309 + 5.34097i −0.644318 + 0.230480i
\(538\) 1.54121 + 10.7193i 0.0664461 + 0.462143i
\(539\) 8.04423 17.6144i 0.346489 0.758706i
\(540\) −3.48998 3.78411i −0.150185 0.162842i
\(541\) −28.4755 + 8.36116i −1.22426 + 0.359474i −0.829080 0.559130i \(-0.811135\pi\)
−0.395177 + 0.918605i \(0.629317\pi\)
\(542\) −0.359825 0.164327i −0.0154558 0.00705843i
\(543\) −9.23277 2.13912i −0.396216 0.0917982i
\(544\) −0.367053 + 0.318053i −0.0157373 + 0.0136364i
\(545\) 6.58030 3.00512i 0.281869 0.128725i
\(546\) 1.86544 0.379558i 0.0798333 0.0162436i
\(547\) −1.34391 + 9.34710i −0.0574615 + 0.399653i 0.940710 + 0.339211i \(0.110160\pi\)
−0.998172 + 0.0604420i \(0.980749\pi\)
\(548\) 0.154126 + 0.0990507i 0.00658393 + 0.00423124i
\(549\) −5.25588 45.1617i −0.224316 1.92745i
\(550\) −4.42998 + 15.0871i −0.188895 + 0.643317i
\(551\) −43.7728 −1.86479
\(552\) 6.15708 + 5.57588i 0.262063 + 0.237325i
\(553\) −9.94473 −0.422893
\(554\) −4.85453 + 16.5330i −0.206249 + 0.702421i
\(555\) −4.11308 7.77990i −0.174591 0.330239i
\(556\) −14.7223 9.46147i −0.624366 0.401256i
\(557\) −3.06304 + 21.3039i −0.129785 + 0.902677i 0.816039 + 0.577997i \(0.196166\pi\)
−0.945824 + 0.324680i \(0.894744\pi\)
\(558\) 0.0793817 0.463163i 0.00336049 0.0196072i
\(559\) −0.193346 + 0.0882981i −0.00817766 + 0.00373461i
\(560\) −1.07229 + 0.929143i −0.0453125 + 0.0392635i
\(561\) 0.742943 3.20666i 0.0313671 0.135385i
\(562\) −6.82593 3.11730i −0.287935 0.131495i
\(563\) 26.8949 7.89705i 1.13348 0.332821i 0.339408 0.940639i \(-0.389773\pi\)
0.794076 + 0.607819i \(0.207955\pi\)
\(564\) −0.992307 + 11.6639i −0.0417837 + 0.491139i
\(565\) −7.00164 + 15.3315i −0.294561 + 0.644999i
\(566\) 3.65573 + 25.4262i 0.153662 + 1.06874i
\(567\) −9.27257 8.95329i −0.389411 0.376003i
\(568\) 6.17840 + 13.5288i 0.259240 + 0.567656i
\(569\) −33.4384 + 21.4895i −1.40181 + 0.900888i −0.999891 0.0147870i \(-0.995293\pi\)
−0.401919 + 0.915675i \(0.631657\pi\)
\(570\) −6.35533 + 11.2751i −0.266195 + 0.472263i
\(571\) −7.45842 + 11.6055i −0.312125 + 0.485676i −0.961505 0.274788i \(-0.911392\pi\)
0.649380 + 0.760464i \(0.275029\pi\)
\(572\) −1.96642 + 2.26937i −0.0822202 + 0.0948872i
\(573\) −16.6348 12.8059i −0.694928 0.534973i
\(574\) 4.40459i 0.183844i
\(575\) 11.6791 15.3303i 0.487053 0.639316i
\(576\) −2.21350 2.02495i −0.0922293 0.0843727i
\(577\) 35.6162 + 10.4579i 1.48272 + 0.435366i 0.920211 0.391424i \(-0.128017\pi\)
0.562511 + 0.826790i \(0.309836\pi\)
\(578\) 12.6695 + 10.9782i 0.526981 + 0.456631i
\(579\) −13.0302 17.9041i −0.541517 0.744068i
\(580\) 5.69068 + 0.818196i 0.236293 + 0.0339737i
\(581\) −3.22180 5.01322i −0.133663 0.207983i
\(582\) −0.183086 3.15698i −0.00758915 0.130861i
\(583\) −8.92278 10.2974i −0.369544 0.426476i
\(584\) 1.36699 0.196544i 0.0565666 0.00813304i
\(585\) −2.09947 + 0.891250i −0.0868023 + 0.0368487i
\(586\) 6.75032 + 22.9895i 0.278853 + 0.949687i
\(587\) 0.357155 + 1.21636i 0.0147414 + 0.0502045i 0.966535 0.256534i \(-0.0825805\pi\)
−0.951794 + 0.306738i \(0.900762\pi\)
\(588\) 6.14219 5.97890i 0.253300 0.246566i
\(589\) −1.16947 + 0.168145i −0.0481873 + 0.00692828i
\(590\) −8.02204 9.25793i −0.330262 0.381143i
\(591\) 37.9321 2.19983i 1.56032 0.0904890i
\(592\) −2.77272 4.31444i −0.113958 0.177322i
\(593\) −19.7497 2.83958i −0.811023 0.116608i −0.275688 0.961247i \(-0.588906\pi\)
−0.535335 + 0.844640i \(0.679815\pi\)
\(594\) 20.2050 + 2.26862i 0.829019 + 0.0930828i
\(595\) −0.520789 0.451267i −0.0213503 0.0185001i
\(596\) −13.0310 3.82624i −0.533770 0.156729i
\(597\) −2.49542 + 6.42482i −0.102131 + 0.262950i
\(598\) 3.24497 1.73652i 0.132697 0.0710117i
\(599\) 26.1869i 1.06997i −0.844862 0.534985i \(-0.820317\pi\)
0.844862 0.534985i \(-0.179683\pi\)
\(600\) −4.24584 + 5.51532i −0.173336 + 0.225162i
\(601\) −14.9635 + 17.2688i −0.610375 + 0.704410i −0.973849 0.227194i \(-0.927045\pi\)
0.363475 + 0.931604i \(0.381590\pi\)
\(602\) 0.214459 0.333704i 0.00874069 0.0136008i
\(603\) −13.2775 16.1841i −0.540700 0.659069i
\(604\) −10.3434 + 6.64731i −0.420868 + 0.270475i
\(605\) 1.77402 + 3.88457i 0.0721243 + 0.157930i
\(606\) −6.08111 17.0000i −0.247028 0.690579i
\(607\) 2.88275 + 20.0500i 0.117007 + 0.813804i 0.960821 + 0.277168i \(0.0893959\pi\)
−0.843814 + 0.536636i \(0.819695\pi\)
\(608\) −3.13340 + 6.86120i −0.127076 + 0.278258i
\(609\) 14.3437 + 1.22029i 0.581238 + 0.0494488i
\(610\) 14.4062 4.23003i 0.583289 0.171269i
\(611\) 4.71787 + 2.15458i 0.190865 + 0.0871650i
\(612\) 0.820469 1.20408i 0.0331655 0.0486719i
\(613\) 7.49497 6.49443i 0.302719 0.262308i −0.490233 0.871591i \(-0.663088\pi\)
0.792952 + 0.609284i \(0.208543\pi\)
\(614\) 6.35048 2.90017i 0.256284 0.117041i
\(615\) −1.05219 5.17127i −0.0424284 0.208526i
\(616\) 0.797524 5.54690i 0.0321332 0.223491i
\(617\) −21.7944 14.0064i −0.877410 0.563877i 0.0226007 0.999745i \(-0.492805\pi\)
−0.900011 + 0.435867i \(0.856442\pi\)
\(618\) −1.44569 + 0.764308i −0.0581542 + 0.0307450i
\(619\) −4.36353 + 14.8608i −0.175385 + 0.597307i 0.824137 + 0.566391i \(0.191661\pi\)
−0.999522 + 0.0309160i \(0.990158\pi\)
\(620\) 0.155180 0.00623218
\(621\) −22.1354 11.4465i −0.888264 0.459334i
\(622\) 19.1016 0.765903
\(623\) −6.21567 + 21.1686i −0.249025 + 0.848103i
\(624\) −1.17509 + 0.621247i −0.0470412 + 0.0248698i
\(625\) 9.45682 + 6.07753i 0.378273 + 0.243101i
\(626\) 0.986661 6.86238i 0.0394349 0.274276i
\(627\) −10.1925 50.0936i −0.407049 2.00055i
\(628\) 10.3458 4.72475i 0.412841 0.188538i
\(629\) 1.88246 1.63116i 0.0750586 0.0650387i
\(630\) 2.39688 3.51752i 0.0954939 0.140142i
\(631\) 8.26279 + 3.77349i 0.328936 + 0.150220i 0.573037 0.819530i \(-0.305765\pi\)
−0.244100 + 0.969750i \(0.578493\pi\)
\(632\) 6.66251 1.95629i 0.265020 0.0778170i
\(633\) 42.1409 + 3.58514i 1.67495 + 0.142496i
\(634\) −3.84151 + 8.41174i −0.152566 + 0.334073i
\(635\) −2.13652 14.8598i −0.0847852 0.589694i
\(636\) −2.03143 5.67896i −0.0805515 0.225185i
\(637\) −1.57768 3.45464i −0.0625100 0.136878i
\(638\) −19.1027 + 12.2765i −0.756282 + 0.486033i
\(639\) −28.2999 34.4953i −1.11953 1.36461i
\(640\) 0.535606 0.833419i 0.0211717 0.0329438i
\(641\) 28.9540 33.4147i 1.14361 1.31980i 0.203447 0.979086i \(-0.434786\pi\)
0.940167 0.340715i \(-0.110669\pi\)
\(642\) 18.5953 24.1553i 0.733899 0.953332i
\(643\) 19.9105i 0.785192i 0.919711 + 0.392596i \(0.128423\pi\)
−0.919711 + 0.392596i \(0.871577\pi\)
\(644\) −3.34244 + 6.00035i −0.131711 + 0.236447i
\(645\) −0.172071 + 0.443021i −0.00677529 + 0.0174439i
\(646\) −3.51501 1.03210i −0.138296 0.0406074i
\(647\) 12.5068 + 10.8372i 0.491694 + 0.426055i 0.865090 0.501617i \(-0.167261\pi\)
−0.373396 + 0.927672i \(0.621807\pi\)
\(648\) 7.97345 + 4.17422i 0.313227 + 0.163979i
\(649\) 47.8909 + 6.88567i 1.87988 + 0.270286i
\(650\) 1.66728 + 2.59434i 0.0653960 + 0.101758i
\(651\) 0.387907 0.0224962i 0.0152033 0.000881697i
\(652\) 9.75268 + 11.2552i 0.381945 + 0.440788i
\(653\) −27.5008 + 3.95401i −1.07619 + 0.154732i −0.657542 0.753417i \(-0.728404\pi\)
−0.418645 + 0.908150i \(0.637495\pi\)
\(654\) −9.06277 + 8.82183i −0.354382 + 0.344961i
\(655\) −3.47746 11.8431i −0.135876 0.462750i
\(656\) −0.866453 2.95087i −0.0338293 0.115212i
\(657\) −3.81374 + 1.61898i −0.148788 + 0.0631623i
\(658\) −9.58084 + 1.37752i −0.373500 + 0.0537012i
\(659\) −4.23361 4.88584i −0.164918 0.190325i 0.667275 0.744811i \(-0.267460\pi\)
−0.832193 + 0.554486i \(0.812915\pi\)
\(660\) 0.388729 + 6.70293i 0.0151313 + 0.260911i
\(661\) −22.8371 35.5351i −0.888258 1.38216i −0.923835 0.382790i \(-0.874963\pi\)
0.0355770 0.999367i \(-0.488673\pi\)
\(662\) −16.5738 2.38295i −0.644159 0.0926161i
\(663\) −0.379878 0.521969i −0.0147532 0.0202716i
\(664\) 3.14464 + 2.72484i 0.122036 + 0.105744i
\(665\) −10.2686 3.01512i −0.398198 0.116921i
\(666\) 11.3521 + 10.3851i 0.439887 + 0.402415i
\(667\) 27.2443 5.68642i 1.05490 0.220179i
\(668\) 22.2665i 0.861516i
\(669\) 40.4135 + 31.1113i 1.56248 + 1.20283i
\(670\) 4.52699 5.22442i 0.174893 0.201837i
\(671\) −32.0609 + 49.8877i −1.23770 + 1.92589i
\(672\) 1.21805 2.16096i 0.0469872 0.0833610i
\(673\) −8.60902 + 5.53268i −0.331853 + 0.213269i −0.695947 0.718093i \(-0.745015\pi\)
0.364094 + 0.931362i \(0.381379\pi\)
\(674\) −7.84730 17.1832i −0.302267 0.661872i
\(675\) 8.08161 19.2536i 0.311061 0.741071i
\(676\) −1.76628 12.2847i −0.0679338 0.472490i
\(677\) 16.0588 35.1640i 0.617192 1.35146i −0.300353 0.953828i \(-0.597104\pi\)
0.917545 0.397633i \(-0.130168\pi\)
\(678\) 2.49792 29.3613i 0.0959319 1.12762i
\(679\) 2.50888 0.736673i 0.0962819 0.0282709i
\(680\) 0.437676 + 0.199880i 0.0167841 + 0.00766505i
\(681\) −7.57761 + 32.7062i −0.290374 + 1.25330i
\(682\) −0.463205 + 0.401370i −0.0177370 + 0.0153692i
\(683\) 31.8935 14.5653i 1.22037 0.557325i 0.302100 0.953276i \(-0.402312\pi\)
0.918272 + 0.395951i \(0.129585\pi\)
\(684\) 3.82257 22.3033i 0.146160 0.852787i
\(685\) 0.0258307 0.179656i 0.000986939 0.00686431i
\(686\) 14.3963 + 9.25194i 0.549653 + 0.353241i
\(687\) −4.05583 7.67161i −0.154740 0.292690i
\(688\) −0.0780324 + 0.265754i −0.00297496 + 0.0101318i
\(689\) −2.67230 −0.101807
\(690\) 2.49084 7.84325i 0.0948246 0.298587i
\(691\) −22.4532 −0.854161 −0.427081 0.904214i \(-0.640458\pi\)
−0.427081 + 0.904214i \(0.640458\pi\)
\(692\) 0.0580449 0.197683i 0.00220654 0.00751477i
\(693\) 1.94343 + 16.6991i 0.0738248 + 0.634347i
\(694\) 13.5920 + 8.73502i 0.515944 + 0.331577i
\(695\) −2.46738 + 17.1610i −0.0935932 + 0.650955i
\(696\) −9.84969 + 2.00410i −0.373352 + 0.0759654i
\(697\) 1.35870 0.620499i 0.0514645 0.0235031i
\(698\) 10.2343 8.86810i 0.387375 0.335663i
\(699\) −7.83687 1.81570i −0.296418 0.0686762i
\(700\) −5.23517 2.39082i −0.197871 0.0903646i
\(701\) 3.40079 0.998563i 0.128446 0.0377152i −0.216878 0.976199i \(-0.569587\pi\)
0.345324 + 0.938484i \(0.387769\pi\)
\(702\) 2.93129 2.70345i 0.110634 0.102035i
\(703\) 16.0699 35.1882i 0.606089 1.32715i
\(704\) 0.556861 + 3.87305i 0.0209875 + 0.145971i
\(705\) 10.9194 3.90601i 0.411250 0.147109i
\(706\) −5.05765 11.0747i −0.190347 0.416802i
\(707\) 12.5591 8.07126i 0.472334 0.303551i
\(708\) 18.6573 + 10.5164i 0.701186 + 0.395230i
\(709\) 11.1532 17.3547i 0.418867 0.651770i −0.566135 0.824313i \(-0.691562\pi\)
0.985002 + 0.172543i \(0.0551982\pi\)
\(710\) 9.64894 11.1355i 0.362118 0.417907i
\(711\) −17.8215 + 10.7861i −0.668357 + 0.404511i
\(712\) 15.4047i 0.577316i
\(713\) 0.706037 0.256577i 0.0264413 0.00960887i
\(714\) 1.12305 + 0.436195i 0.0420289 + 0.0163242i
\(715\) 2.85434 + 0.838111i 0.106746 + 0.0313436i
\(716\) 6.91912 + 5.99545i 0.258580 + 0.224061i
\(717\) 3.69063 2.68596i 0.137829 0.100309i
\(718\) −26.7439 3.84519i −0.998073 0.143501i
\(719\) 8.91727 + 13.8755i 0.332558 + 0.517470i 0.966756 0.255700i \(-0.0823060\pi\)
−0.634198 + 0.773171i \(0.718670\pi\)
\(720\) −0.913842 + 2.82808i −0.0340569 + 0.105396i
\(721\) −0.885485 1.02190i −0.0329772 0.0380577i
\(722\) −37.5085 + 5.39291i −1.39592 + 0.200703i
\(723\) −12.3258 12.6624i −0.458401 0.470921i
\(724\) 1.54157 + 5.25010i 0.0572919 + 0.195118i
\(725\) 6.57016 + 22.3759i 0.244010 + 0.831020i
\(726\) −5.20782 5.35006i −0.193280 0.198559i
\(727\) 26.2884 3.77971i 0.974984 0.140182i 0.363634 0.931542i \(-0.381536\pi\)
0.611350 + 0.791360i \(0.290627\pi\)
\(728\) −0.719743 0.830627i −0.0266754 0.0307851i
\(729\) −26.3277 5.98766i −0.975100 0.221765i
\(730\) −0.739699 1.15099i −0.0273775 0.0426002i
\(731\) −0.133151 0.0191443i −0.00492478 0.000708076i
\(732\) −21.2243 + 15.4466i −0.784472 + 0.570922i
\(733\) 21.9088 + 18.9841i 0.809221 + 0.701194i 0.957715 0.287720i \(-0.0928971\pi\)
−0.148494 + 0.988913i \(0.547443\pi\)
\(734\) −18.2993 5.37315i −0.675438 0.198327i
\(735\) −7.91575 3.07451i −0.291977 0.113405i
\(736\) 1.05891 4.67747i 0.0390321 0.172414i
\(737\) 27.3036i 1.00574i
\(738\) 4.77724 + 7.89325i 0.175853 + 0.290554i
\(739\) 8.89595 10.2665i 0.327243 0.377659i −0.568158 0.822920i \(-0.692344\pi\)
0.895401 + 0.445261i \(0.146889\pi\)
\(740\) −2.74690 + 4.27426i −0.100978 + 0.157125i
\(741\) −8.73405 4.92303i −0.320853 0.180852i
\(742\) 4.19545 2.69625i 0.154020 0.0989826i
\(743\) 11.0460 + 24.1874i 0.405239 + 0.887350i 0.996712 + 0.0810253i \(0.0258195\pi\)
−0.591473 + 0.806325i \(0.701453\pi\)
\(744\) −0.255454 + 0.0913790i −0.00936541 + 0.00335012i
\(745\) 1.91479 + 13.3177i 0.0701527 + 0.487922i
\(746\) 8.22011 17.9995i 0.300960 0.659010i
\(747\) −11.2110 5.48956i −0.410189 0.200853i
\(748\) −1.82343 + 0.535407i −0.0666711 + 0.0195764i
\(749\) 22.9283 + 10.4710i 0.837781 + 0.382602i
\(750\) 15.0758 + 3.49286i 0.550489 + 0.127541i
\(751\) −28.8881 + 25.0316i −1.05414 + 0.913418i −0.996388 0.0849132i \(-0.972939\pi\)
−0.0577519 + 0.998331i \(0.518393\pi\)
\(752\) 6.14774 2.80758i 0.224185 0.102382i
\(753\) 3.46735 0.705498i 0.126357 0.0257098i
\(754\) −0.633800 + 4.40817i −0.0230816 + 0.160536i
\(755\) 10.2471 + 6.58541i 0.372930 + 0.239668i
\(756\) −1.87437 + 7.20190i −0.0681702 + 0.261931i
\(757\) 12.6565 43.1040i 0.460008 1.56664i −0.324103 0.946022i \(-0.605062\pi\)
0.784111 0.620621i \(-0.213119\pi\)
\(758\) −29.1432 −1.05853
\(759\) 12.8514 + 29.8542i 0.466474 + 1.08364i
\(760\) 7.47259 0.271059
\(761\) 5.34989 18.2201i 0.193933 0.660476i −0.803905 0.594758i \(-0.797248\pi\)
0.997838 0.0657185i \(-0.0209339\pi\)
\(762\) 12.2674 + 23.2038i 0.444402 + 0.840587i
\(763\) −8.79766 5.65391i −0.318497 0.204685i
\(764\) −1.72490 + 11.9969i −0.0624047 + 0.434034i
\(765\) −1.42273 0.243842i −0.0514388 0.00881612i
\(766\) −2.17402 + 0.992843i −0.0785507 + 0.0358729i
\(767\) 7.17147 6.21412i 0.258947 0.224379i
\(768\) −0.390939 + 1.68736i −0.0141068 + 0.0608872i
\(769\) −48.7532 22.2648i −1.75808 0.802890i −0.985867 0.167532i \(-0.946420\pi\)
−0.772218 0.635358i \(-0.780853\pi\)
\(770\) −5.32687 + 1.56411i −0.191967 + 0.0563666i
\(771\) 1.29451 15.2161i 0.0466207 0.547995i