Properties

Label 138.2.f.a.5.3
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 5.3
Character \(\chi\) \(=\) 138.5
Dual form 138.2.f.a.83.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.281733 + 0.959493i) q^{2} +(0.583374 - 1.63085i) q^{3} +(-0.841254 - 0.540641i) q^{4} +(0.140990 - 0.980604i) q^{5} +(1.40043 + 1.01921i) q^{6} +(1.30276 - 0.594948i) q^{7} +(0.755750 - 0.654861i) q^{8} +(-2.31935 - 1.90279i) q^{9} +O(q^{10})\) \(q+(-0.281733 + 0.959493i) q^{2} +(0.583374 - 1.63085i) q^{3} +(-0.841254 - 0.540641i) q^{4} +(0.140990 - 0.980604i) q^{5} +(1.40043 + 1.01921i) q^{6} +(1.30276 - 0.594948i) q^{7} +(0.755750 - 0.654861i) q^{8} +(-2.31935 - 1.90279i) q^{9} +(0.901161 + 0.411546i) q^{10} +(3.75438 - 1.10239i) q^{11} +(-1.37247 + 1.05656i) q^{12} +(-0.318796 + 0.698067i) q^{13} +(0.203820 + 1.41760i) q^{14} +(-1.51697 - 0.801992i) q^{15} +(0.415415 + 0.909632i) q^{16} +(0.408580 - 0.262579i) q^{17} +(2.47915 - 1.68932i) q^{18} +(-4.07796 + 6.34543i) q^{19} +(-0.648762 + 0.748712i) q^{20} +(-0.210278 - 2.47168i) 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} +(-4.45622 + 2.67247i) q^{27} +(-1.41760 - 0.203820i) q^{28} +(-3.13747 - 4.88200i) q^{29} +(1.19689 - 1.22957i) q^{30} +(0.102577 + 0.118380i) q^{31} +(-0.989821 + 0.142315i) q^{32} +(0.392383 - 6.76594i) q^{33} +(0.136832 + 0.466007i) q^{34} +(-0.399734 - 1.36137i) q^{35} +(0.922432 + 2.85467i) q^{36} +(-5.07638 + 0.729874i) q^{37} +(-4.93950 - 5.70049i) q^{38} +(0.952465 + 0.927144i) q^{39} +(-0.535606 - 0.833419i) q^{40} +(3.04414 + 0.437682i) q^{41} +(2.43080 + 0.494592i) 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} +(1.72582 - 0.146824i) q^{48} +(-3.24082 + 3.74010i) q^{49} +(-2.17259 + 3.38061i) q^{50} +(-0.189871 - 0.819515i) q^{51} +(0.645592 - 0.414897i) q^{52} +(-1.44656 - 3.16753i) q^{53} +(-1.30875 - 5.02863i) q^{54} +(-0.551675 - 3.83698i) q^{55} +(0.594948 - 1.30276i) q^{56} +(7.96947 + 10.3523i) q^{57} +(5.56817 - 1.63496i) q^{58} +(11.2477 + 5.13667i) q^{59} +(0.842566 + 1.49481i) q^{60} +(11.4538 - 9.92474i) q^{61} +(-0.142484 + 0.0650700i) q^{62} +(-4.15361 - 1.09898i) q^{63} +(0.142315 - 0.989821i) q^{64} +(0.639580 + 0.411033i) q^{65} +(6.38132 + 2.28267i) q^{66} +(1.96590 - 6.69523i) q^{67} -0.485680 q^{68} +(6.30505 + 5.40799i) q^{69} +1.41884 q^{70} +(-4.19016 + 14.2704i) q^{71} +(-2.99891 + 0.0808151i) q^{72} +(-1.16181 - 0.746652i) q^{73} +(0.729874 - 5.07638i) q^{74} +(4.09572 - 5.62770i) q^{75} +(6.86120 - 3.13340i) q^{76} +(4.23518 - 3.66980i) q^{77} +(-1.15793 + 0.652677i) q^{78} +(-6.31629 - 2.88455i) q^{79} +(0.950558 - 0.279109i) q^{80} +(1.75876 + 8.82648i) q^{81} +(-1.27759 + 2.79752i) q^{82} +(0.592165 + 4.11860i) q^{83} +(-1.15939 + 2.19299i) q^{84} +(-0.199880 - 0.437676i) q^{85} +(-0.233005 + 0.149743i) q^{86} +(-9.79213 + 2.26871i) q^{87} +(2.11546 - 3.29172i) q^{88} +(10.0879 - 11.6421i) q^{89} +(-1.30702 - 2.66924i) 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} +(-0.345342 + 1.69727i) q^{96} +(1.80716 + 0.259831i) q^{97} +(-2.67556 - 4.16325i) q^{98} +(-10.8053 - 4.58699i) 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
\(3\) 0.583374 1.63085i 0.336811 0.941572i
\(4\) −0.841254 0.540641i −0.420627 0.270320i
\(5\) 0.140990 0.980604i 0.0630524 0.438539i −0.933703 0.358049i \(-0.883442\pi\)
0.996755 0.0804907i \(-0.0256487\pi\)
\(6\) 1.40043 + 1.01921i 0.571725 + 0.416090i
\(7\) 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
\(9\) −2.31935 1.90279i −0.773116 0.634264i
\(10\) 0.901161 + 0.411546i 0.284972 + 0.130142i
\(11\) 3.75438 1.10239i 1.13199 0.332382i 0.338500 0.940967i \(-0.390081\pi\)
0.793489 + 0.608585i \(0.208262\pi\)
\(12\) −1.37247 + 1.05656i −0.396198 + 0.305003i
\(13\) −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
\(15\) −1.51697 0.801992i −0.391680 0.207073i
\(16\) 0.415415 + 0.909632i 0.103854 + 0.227408i
\(17\) 0.408580 0.262579i 0.0990953 0.0636847i −0.490155 0.871635i \(-0.663060\pi\)
0.589250 + 0.807951i \(0.299423\pi\)
\(18\) 2.47915 1.68932i 0.584342 0.398176i
\(19\) −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
\(21\) −0.210278 2.47168i −0.0458864 0.539364i
\(22\) 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
\(27\) −4.45622 + 2.67247i −0.857600 + 0.514317i
\(28\) −1.41760 0.203820i −0.267901 0.0385184i
\(29\) −3.13747 4.88200i −0.582613 0.906564i 0.417384 0.908730i \(-0.362947\pi\)
−0.999998 + 0.00216601i \(0.999311\pi\)
\(30\) 1.19689 1.22957i 0.218520 0.224488i
\(31\) 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
\(33\) 0.392383 6.76594i 0.0683052 1.17780i
\(34\) 0.136832 + 0.466007i 0.0234665 + 0.0799195i
\(35\) −0.399734 1.36137i −0.0675673 0.230113i
\(36\) 0.922432 + 2.85467i 0.153739 + 0.475778i
\(37\) −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
\(39\) 0.952465 + 0.927144i 0.152516 + 0.148462i
\(40\) −0.535606 0.833419i −0.0846868 0.131775i
\(41\) 3.04414 + 0.437682i 0.475415 + 0.0683544i 0.375858 0.926677i \(-0.377348\pi\)
0.0995576 + 0.995032i \(0.468257\pi\)
\(42\) 2.43080 + 0.494592i 0.375080 + 0.0763172i
\(43\) 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 \(0.164068\pi\)
−0.870078 + 0.492913i \(0.835932\pi\)
\(48\) 1.72582 0.146824i 0.249100 0.0211922i
\(49\) −3.24082 + 3.74010i −0.462974 + 0.534300i
\(50\) −2.17259 + 3.38061i −0.307250 + 0.478090i
\(51\) −0.189871 0.819515i −0.0265873 0.114755i
\(52\) 0.645592 0.414897i 0.0895275 0.0575358i
\(53\) −1.44656 3.16753i −0.198700 0.435093i 0.783885 0.620907i \(-0.213235\pi\)
−0.982585 + 0.185813i \(0.940508\pi\)
\(54\) −1.30875 5.02863i −0.178099 0.684310i
\(55\) −0.551675 3.83698i −0.0743879 0.517379i
\(56\) 0.594948 1.30276i 0.0795033 0.174088i
\(57\) 7.96947 + 10.3523i 1.05558 + 1.37120i
\(58\) 5.56817 1.63496i 0.731136 0.214681i
\(59\) 11.2477 + 5.13667i 1.46433 + 0.668737i 0.978675 0.205414i \(-0.0658540\pi\)
0.485655 + 0.874151i \(0.338581\pi\)
\(60\) 0.842566 + 1.49481i 0.108775 + 0.192980i
\(61\) 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
\(63\) −4.15361 1.09898i −0.523305 0.138459i
\(64\) 0.142315 0.989821i 0.0177894 0.123728i
\(65\) 0.639580 + 0.411033i 0.0793301 + 0.0509824i
\(66\) 6.38132 + 2.28267i 0.785487 + 0.280978i
\(67\) 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
\(69\) 6.30505 + 5.40799i 0.759039 + 0.651046i
\(70\) 1.41884 0.169584
\(71\) −4.19016 + 14.2704i −0.497281 + 1.69358i 0.202548 + 0.979272i \(0.435078\pi\)
−0.699829 + 0.714311i \(0.746740\pi\)
\(72\) −2.99891 + 0.0808151i −0.353425 + 0.00952415i
\(73\) −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
\(75\) 4.09572 5.62770i 0.472933 0.649831i
\(76\) 6.86120 3.13340i 0.787033 0.359426i
\(77\) 4.23518 3.66980i 0.482643 0.418213i
\(78\) −1.15793 + 0.652677i −0.131110 + 0.0739011i
\(79\) −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
\(81\) 1.75876 + 8.82648i 0.195417 + 0.980720i
\(82\) −1.27759 + 2.79752i −0.141086 + 0.308935i
\(83\) 0.592165 + 4.11860i 0.0649986 + 0.452075i 0.996166 + 0.0874831i \(0.0278824\pi\)
−0.931167 + 0.364592i \(0.881209\pi\)
\(84\) −1.15939 + 2.19299i −0.126500 + 0.239275i
\(85\) −0.199880 0.437676i −0.0216800 0.0474726i
\(86\) −0.233005 + 0.149743i −0.0251256 + 0.0161472i
\(87\) −9.79213 + 2.26871i −1.04983 + 0.243231i
\(88\) 2.11546 3.29172i 0.225509 0.350899i
\(89\) 10.0879 11.6421i 1.06932 1.23406i 0.0982759 0.995159i \(-0.468667\pi\)
0.971044 0.238902i \(-0.0767873\pi\)
\(90\) −1.30702 2.66924i −0.137772 0.281363i
\(91\) 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
\(96\) −0.345342 + 1.69727i −0.0352463 + 0.173227i
\(97\) 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
\(99\) −10.8053 4.58699i −1.08598 0.461010i
\(100\) −2.63158 3.03701i −0.263158 0.303701i
\(101\) −10.3179 + 1.48349i −1.02667 + 0.147613i −0.635016 0.772499i \(-0.719007\pi\)
−0.391655 + 0.920112i \(0.628097\pi\)
\(102\) 0.839812 + 0.0487040i 0.0831538 + 0.00482241i
\(103\) −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
\(105\) −2.45338 0.142281i −0.239426 0.0138852i
\(106\) 3.44676 0.495570i 0.334779 0.0481340i
\(107\) −11.5254 13.3011i −1.11421 1.28586i −0.954339 0.298724i \(-0.903439\pi\)
−0.159867 0.987139i \(-0.551107\pi\)
\(108\) 5.19366 + 0.160990i 0.499760 + 0.0154912i
\(109\) −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
\(111\) −1.77112 + 8.70461i −0.168107 + 0.826205i
\(112\) 1.08237 + 0.937877i 0.102274 + 0.0886211i
\(113\) −16.3239 4.79312i −1.53562 0.450899i −0.598855 0.800858i \(-0.704377\pi\)
−0.936765 + 0.349959i \(0.886196\pi\)
\(114\) −12.1782 + 4.73007i −1.14060 + 0.443012i
\(115\) 4.15065 + 2.31208i 0.387050 + 0.215603i
\(116\) 5.80324i 0.538817i
\(117\) 2.06768 1.01246i 0.191157 0.0936016i
\(118\) −8.09745 + 9.34495i −0.745431 + 0.860273i
\(119\) 0.376059 0.585160i 0.0344733 0.0536415i
\(120\) −1.67164 + 0.387298i −0.152599 + 0.0353553i
\(121\) 3.62633 2.33050i 0.329666 0.211864i
\(122\) 6.29582 + 13.7859i 0.569997 + 1.24812i
\(123\) 2.48967 4.70921i 0.224486 0.424615i
\(124\) −0.0222920 0.155044i −0.00200188 0.0139234i
\(125\) 3.71155 8.12716i 0.331971 0.726915i
\(126\) 2.22467 3.67574i 0.198189 0.327461i
\(127\) −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
\(129\) 0.417915 0.235562i 0.0367954 0.0207401i
\(130\) −0.574574 + 0.497871i −0.0503935 + 0.0436662i
\(131\) 11.3332 5.17572i 0.990190 0.452205i 0.146602 0.989196i \(-0.453166\pi\)
0.843588 + 0.536991i \(0.180439\pi\)
\(132\) −3.98804 + 5.47973i −0.347114 + 0.476949i
\(133\) −1.53738 + 10.6927i −0.133308 + 0.927176i
\(134\) 5.87017 + 3.77253i 0.507105 + 0.325897i
\(135\) 1.99235 + 4.74658i 0.171475 + 0.408520i
\(136\) 0.136832 0.466007i 0.0117332 0.0399598i
\(137\) 0.183210 0.0156527 0.00782633 0.999969i \(-0.497509\pi\)
0.00782633 + 0.999969i \(0.497509\pi\)
\(138\) −6.96527 + 4.52604i −0.592923 + 0.385282i
\(139\) 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
\(141\) 11.0221 + 3.94273i 0.928227 + 0.332038i
\(142\) −12.5118 8.04086i −1.04997 0.674774i
\(143\) −0.427344 + 2.97224i −0.0357363 + 0.248552i
\(144\) 0.767349 2.90020i 0.0639458 0.241684i
\(145\) −5.22965 + 2.38830i −0.434299 + 0.198338i
\(146\) 1.04373 0.904395i 0.0863795 0.0748483i
\(147\) 4.20894 + 7.46717i 0.347147 + 0.615882i
\(148\) 4.66513 + 2.13049i 0.383471 + 0.175125i
\(149\) −13.0310 + 3.82624i −1.06754 + 0.313458i −0.767884 0.640589i \(-0.778690\pi\)
−0.299656 + 0.954047i \(0.596872\pi\)
\(150\) 4.24584 + 5.51532i 0.346671 + 0.450324i
\(151\) 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
\(153\) −1.44727 0.168432i −0.117005 0.0136170i
\(154\) 2.32796 + 5.09752i 0.187592 + 0.410770i
\(155\) 0.130546 0.0838966i 0.0104857 0.00673874i
\(156\) −0.300013 1.29490i −0.0240203 0.103675i
\(157\) −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
\(159\) −6.00965 + 0.511271i −0.476596 + 0.0405464i
\(160\) 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
\(165\) −6.57938 1.33870i −0.512204 0.104218i
\(166\) −4.11860 0.592165i −0.319665 0.0459609i
\(167\) −12.0382 18.7318i −0.931541 1.44951i −0.892901 0.450254i \(-0.851334\pi\)
−0.0386407 0.999253i \(-0.512303\pi\)
\(168\) −1.77752 1.73027i −0.137139 0.133493i
\(169\) 8.12752 + 9.37966i 0.625194 + 0.721512i
\(170\) 0.476260 0.0684758i 0.0365275 0.00525186i
\(171\) 21.5323 6.95775i 1.64661 0.532072i
\(172\) −0.0780324 0.265754i −0.00594991 0.0202635i
\(173\) −0.0580449 0.197683i −0.00441307 0.0150295i 0.957257 0.289239i \(-0.0934021\pi\)
−0.961670 + 0.274209i \(0.911584\pi\)
\(174\) 0.581948 10.0346i 0.0441174 0.760725i
\(175\) 5.69668 0.819059i 0.430629 0.0619151i
\(176\) 2.56239 + 2.95716i 0.193148 + 0.222904i
\(177\) 14.9388 15.3468i 1.12287 1.15353i
\(178\) 8.32842 + 12.9593i 0.624241 + 0.971338i
\(179\) 9.06212 + 1.30294i 0.677335 + 0.0973860i 0.472393 0.881388i \(-0.343390\pi\)
0.204942 + 0.978774i \(0.434299\pi\)
\(180\) 2.92935 0.502063i 0.218341 0.0374215i
\(181\) −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
\(186\) 0.0229983 + 0.270330i 0.00168632 + 0.0198215i
\(187\) 1.24450 1.43623i 0.0910071 0.105028i
\(188\) 3.65391 5.68560i 0.266489 0.414665i
\(189\) −4.21538 + 6.13280i −0.306624 + 0.446095i
\(190\) −6.28634 + 4.03998i −0.456059 + 0.293091i
\(191\) 5.03496 + 11.0250i 0.364317 + 0.797743i 0.999674 + 0.0255246i \(0.00812562\pi\)
−0.635357 + 0.772218i \(0.719147\pi\)
\(192\) −1.53123 0.809531i −0.110507 0.0584229i
\(193\) −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
\(195\) 1.04345 0.803273i 0.0747229 0.0575236i
\(196\) 4.74840 1.39426i 0.339172 0.0995897i
\(197\) −19.9545 9.11293i −1.42170 0.649269i −0.451655 0.892192i \(-0.649166\pi\)
−0.970045 + 0.242923i \(0.921894\pi\)
\(198\) 7.44540 9.07533i 0.529122 0.644956i
\(199\) −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
\(201\) −9.77207 7.11191i −0.689268 0.501635i
\(202\) 1.48349 10.3179i 0.104378 0.725966i
\(203\) −6.99189 4.49342i −0.490735 0.315376i
\(204\) −0.283333 + 0.792072i −0.0198373 + 0.0554561i
\(205\) 0.858385 2.92339i 0.0599522 0.204178i
\(206\) 0.944137 0.0657812
\(207\) 12.4978 7.12771i 0.868659 0.495410i
\(208\) −0.767417 −0.0532108
\(209\) −8.31510 + 28.3186i −0.575168 + 1.95884i
\(210\) 0.827716 2.31392i 0.0571178 0.159676i
\(211\) 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
\(213\) 20.8284 + 15.1585i 1.42714 + 1.03864i
\(214\) 16.0094 7.31124i 1.09438 0.499786i
\(215\) 0.207373 0.179690i 0.0141427 0.0122547i
\(216\) −1.61769 + 4.93792i −0.110070 + 0.335983i
\(217\) 0.204062 + 0.0931919i 0.0138526 + 0.00632628i
\(218\) 7.00624 2.05722i 0.474522 0.139332i
\(219\) −1.89545 + 1.45917i −0.128083 + 0.0986013i
\(220\) −1.61033 + 3.52613i −0.108569 + 0.237732i
\(221\) 0.0530435 + 0.368925i 0.00356809 + 0.0248166i
\(222\) −7.85304 4.15175i −0.527061 0.278647i
\(223\) 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
\(225\) −6.78860 9.96257i −0.452573 0.664171i
\(226\) 9.19793 14.3123i 0.611837 0.952037i
\(227\) 12.6932 14.6488i 0.842480 0.972273i −0.157404 0.987534i \(-0.550312\pi\)
0.999884 + 0.0152611i \(0.00485795\pi\)
\(228\) −1.10747 13.0175i −0.0733438 0.862107i
\(229\) 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 0.762214 0.647326i \(-0.224113\pi\)
−0.532262 + 0.846579i \(0.678658\pi\)
\(234\) 0.388913 + 2.26916i 0.0254240 + 0.148340i
\(235\) 6.62740 + 0.952876i 0.432324 + 0.0621588i
\(236\) −6.68510 10.4022i −0.435163 0.677127i
\(237\) −8.38903 + 8.61815i −0.544926 + 0.559809i
\(238\) 0.455509 + 0.525685i 0.0295262 + 0.0340751i
\(239\) −2.60852 + 0.375049i −0.168731 + 0.0242599i −0.226163 0.974090i \(-0.572618\pi\)
0.0574313 + 0.998349i \(0.481709\pi\)
\(240\) 0.0993461 1.71304i 0.00641276 0.110576i
\(241\) −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
\(243\) 15.4207 + 2.28088i 0.989238 + 0.146318i
\(244\) −15.0012 + 2.15685i −0.960355 + 0.138078i
\(245\) 3.21064 + 3.70527i 0.205120 + 0.236721i
\(246\) 3.81703 + 3.71556i 0.243365 + 0.236895i
\(247\) −3.12949 4.86959i −0.199125 0.309845i
\(248\) 0.155044 + 0.0222920i 0.00984532 + 0.00141554i
\(249\) 7.06227 + 1.43695i 0.447553 + 0.0910631i
\(250\) 6.75228 + 5.85089i 0.427052 + 0.370043i
\(251\) −1.96014 0.575550i −0.123723 0.0363284i 0.219285 0.975661i \(-0.429628\pi\)
−0.343008 + 0.939332i \(0.611446\pi\)
\(252\) 2.90008 + 3.17013i 0.182688 + 0.199700i
\(253\) −1.49653 + 18.7057i −0.0940858 + 1.17602i
\(254\) 15.1537i 0.950831i
\(255\) −0.830389 + 0.0706454i −0.0520010 + 0.00442398i
\(256\) −0.654861 + 0.755750i −0.0409288 + 0.0472343i
\(257\) −4.76670 + 7.41713i −0.297339 + 0.462668i −0.957491 0.288464i \(-0.906855\pi\)
0.660152 + 0.751132i \(0.270492\pi\)
\(258\) 0.108280 + 0.467352i 0.00674119 + 0.0290961i
\(259\) −6.17905 + 3.97103i −0.383947 + 0.246748i
\(260\) −0.315828 0.691566i −0.0195868 0.0428891i
\(261\) −2.01255 + 17.2930i −0.124574 + 1.07041i
\(262\) 1.77312 + 12.3323i 0.109544 + 0.761894i
\(263\) −6.87563 + 15.0555i −0.423969 + 0.928363i 0.570298 + 0.821438i \(0.306828\pi\)
−0.994267 + 0.106925i \(0.965899\pi\)
\(264\) −4.13420 5.37031i −0.254443 0.330520i
\(265\) −3.31004 + 0.971915i −0.203334 + 0.0597043i
\(266\) −9.82646 4.48759i −0.602499 0.275152i
\(267\) −13.1015 23.2436i −0.801798 1.42249i
\(268\) −5.27353 + 4.56954i −0.322132 + 0.279129i
\(269\) 9.85091 4.49876i 0.600620 0.274294i −0.0918126 0.995776i \(-0.529266\pi\)
0.692433 + 0.721482i \(0.256539\pi\)
\(270\) −5.11562 + 0.574384i −0.311327 + 0.0349559i
\(271\) 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
\(273\) 1.79243 + 0.641174i 0.108483 + 0.0388056i
\(274\) −0.0516162 + 0.175788i −0.00311825 + 0.0106198i
\(275\) 15.7241 0.948196
\(276\) −2.38036 7.95826i −0.143281 0.479031i
\(277\) −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
\(279\) −0.0126588 0.469745i −0.000757860 0.0281229i
\(280\) −1.19361 0.767084i −0.0713316 0.0458420i
\(281\) −1.06794 + 7.42768i −0.0637079 + 0.443098i 0.932855 + 0.360253i \(0.117310\pi\)
−0.996562 + 0.0828450i \(0.973599\pi\)
\(282\) −6.88830 + 9.46482i −0.410192 + 0.563622i
\(283\) −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
\(285\) 11.2751 6.35533i 0.667881 0.376457i
\(286\) −2.73145 1.24741i −0.161514 0.0737610i
\(287\) 4.22617 1.24092i 0.249463 0.0732490i
\(288\) 2.56654 + 1.55335i 0.151235 + 0.0915319i
\(289\) −6.96406 + 15.2492i −0.409651 + 0.897010i
\(290\) −0.818196 5.69068i −0.0480461 0.334168i
\(291\) 1.47800 2.79564i 0.0866418 0.163883i
\(292\) 0.573709 + 1.25625i 0.0335738 + 0.0735163i
\(293\) 20.1565 12.9538i 1.17755 0.756768i 0.202619 0.979258i \(-0.435055\pi\)
0.974935 + 0.222490i \(0.0714185\pi\)
\(294\) −8.35049 + 1.93470i −0.487011 + 0.112834i
\(295\) 6.62285 10.3054i 0.385597 0.600001i
\(296\) −3.35851 + 3.87593i −0.195209 + 0.225284i
\(297\) −13.7843 + 14.9459i −0.799844 + 0.867252i
\(298\) 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
\(303\) −3.59985 + 17.6924i −0.206806 + 1.01640i
\(304\) −7.46605 1.07346i −0.428207 0.0615669i
\(305\) −8.11737 12.6309i −0.464800 0.723242i
\(306\) 0.569354 1.34119i 0.0325478 0.0766710i
\(307\) 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
\(309\) −1.63255 0.0946780i −0.0928726 0.00538604i
\(310\) 0.0437192 + 0.148894i 0.00248309 + 0.00845662i
\(311\) −5.38154 18.3278i −0.305159 1.03928i −0.959179 0.282799i \(-0.908737\pi\)
0.654020 0.756477i \(-0.273081\pi\)
\(312\) 1.32697 + 0.0769565i 0.0751252 + 0.00435680i
\(313\) 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
\(315\) −1.66328 + 3.91810i −0.0937152 + 0.220760i
\(316\) 3.75409 + 5.84148i 0.211184 + 0.328609i
\(317\) 9.15329 + 1.31604i 0.514100 + 0.0739164i 0.394482 0.918904i \(-0.370924\pi\)
0.119618 + 0.992820i \(0.461833\pi\)
\(318\) 1.20255 5.91026i 0.0674358 0.331431i
\(319\) −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
\(324\) 3.29240 8.37616i 0.182911 0.465342i
\(325\) −2.01952 + 2.33065i −0.112023 + 0.129281i
\(326\) 8.05163 12.5286i 0.445939 0.693894i
\(327\) −12.3211 + 2.85464i −0.681359 + 0.157862i
\(328\) 2.58723 1.66271i 0.142856 0.0918079i
\(329\) 4.02095 + 8.80465i 0.221682 + 0.485416i
\(330\) 3.13810 5.93572i 0.172747 0.326750i
\(331\) −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
\(333\) 13.1627 + 7.96648i 0.721312 + 0.436560i
\(334\) 21.3645 6.27319i 1.16902 0.343254i
\(335\) −6.28820 2.87172i −0.343561 0.156899i
\(336\) 2.16096 1.21805i 0.117890 0.0664499i
\(337\) 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
\(339\) −17.3398 + 23.8256i −0.941768 + 1.29403i
\(340\) −0.0684758 + 0.476260i −0.00371362 + 0.0258288i
\(341\) 0.515611 + 0.331363i 0.0279219 + 0.0179443i
\(342\) 0.609574 + 22.6203i 0.0329620 + 1.22316i
\(343\) −4.82126 + 16.4197i −0.260324 + 0.886581i
\(344\) 0.276973 0.0149334
\(345\) 6.19204 5.42028i 0.333368 0.291818i
\(346\) 0.206028 0.0110761
\(347\) 4.55189 15.5023i 0.244358 0.832209i −0.742392 0.669965i \(-0.766309\pi\)
0.986751 0.162243i \(-0.0518729\pi\)
\(348\) 9.46422 + 3.38546i 0.507335 + 0.181480i
\(349\) 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
\(351\) −0.444936 3.96271i −0.0237489 0.211514i
\(352\) −3.55928 + 1.62547i −0.189710 + 0.0866378i
\(353\) −9.20121 + 7.97289i −0.489731 + 0.424354i −0.864400 0.502804i \(-0.832302\pi\)
0.374669 + 0.927158i \(0.377756\pi\)
\(354\) 10.5164 + 18.6573i 0.558939 + 0.991626i
\(355\) 13.4028 + 6.12086i 0.711348 + 0.324862i
\(356\) −14.7807 + 4.34001i −0.783376 + 0.230020i
\(357\) −0.734925 0.954664i −0.0388963 0.0505262i
\(358\) −3.80325 + 8.32796i −0.201008 + 0.440146i
\(359\) 3.84519 + 26.7439i 0.202941 + 1.41149i 0.795496 + 0.605959i \(0.207210\pi\)
−0.592555 + 0.805530i \(0.701881\pi\)
\(360\) −0.343568 + 2.95214i −0.0181076 + 0.155591i
\(361\) −15.7418 34.4698i −0.828518 1.81420i
\(362\) 4.60312 2.95825i 0.241935 0.155482i
\(363\) −1.68519 7.27356i −0.0884496 0.381763i
\(364\) 0.594206 0.924603i 0.0311449 0.0484624i
\(365\) −0.895973 + 1.03401i −0.0468974 + 0.0541225i
\(366\) 26.1556 2.22519i 1.36718 0.116312i
\(367\) 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
\(372\) −0.265859 0.0540939i −0.0137841 0.00280464i
\(373\) 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
\(375\) −11.0890 10.7942i −0.572631 0.557408i
\(376\) 4.42587 + 5.10772i 0.228247 + 0.263411i
\(377\) 4.40817 0.633800i 0.227032 0.0326423i
\(378\) −4.69676 5.77244i −0.241575 0.296902i
\(379\) −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
\(381\) −1.51962 + 26.2030i −0.0778523 + 1.34242i
\(382\) −11.9969 + 1.72490i −0.613817 + 0.0882536i
\(383\) 1.56512 + 1.80624i 0.0799739 + 0.0922948i 0.794326 0.607491i \(-0.207824\pi\)
−0.714352 + 0.699786i \(0.753279\pi\)
\(384\) 1.20814 1.24113i 0.0616524 0.0633362i
\(385\) −3.00151 4.67043i −0.152971 0.238027i
\(386\) 12.6545 + 1.81945i 0.644099 + 0.0926074i
\(387\) −0.140365 0.818978i −0.00713516 0.0416310i
\(388\) −1.37981 1.19561i −0.0700492 0.0606979i
\(389\) 11.8783 + 3.48779i 0.602255 + 0.176838i 0.568626 0.822596i \(-0.307475\pi\)
0.0336295 + 0.999434i \(0.489293\pi\)
\(390\) 0.476762 + 1.22749i 0.0241418 + 0.0621563i
\(391\) 0.475903 + 2.28010i 0.0240675 + 0.115310i
\(392\) 4.94886i 0.249955i
\(393\) −1.82930 21.5022i −0.0922760 1.08464i
\(394\) 14.3656 16.5788i 0.723730 0.835229i
\(395\) −3.71913 + 5.78708i −0.187130 + 0.291180i
\(396\) 6.61011 + 9.70063i 0.332170 + 0.487475i
\(397\) 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
\(399\) 16.5414 + 8.74510i 0.828104 + 0.437803i
\(400\) 0.571898 + 3.97764i 0.0285949 + 0.198882i
\(401\) 2.33475 5.11239i 0.116592 0.255300i −0.842335 0.538955i \(-0.818819\pi\)
0.958927 + 0.283654i \(0.0915467\pi\)
\(402\) 9.57694 7.37257i 0.477654 0.367711i
\(403\) −0.115338 + 0.0338663i −0.00574539 + 0.00168700i
\(404\) 9.48202 + 4.33029i 0.471748 + 0.215440i
\(405\) 8.90325 0.480200i 0.442406 0.0238614i
\(406\) 6.28124 5.44273i 0.311733 0.270118i
\(407\) −18.2541 + 8.33636i −0.904821 + 0.413218i
\(408\) −0.680163 0.495009i −0.0336731 0.0245066i
\(409\) −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
\(411\) 0.106880 0.298788i 0.00527200 0.0147381i
\(412\) −0.265994 + 0.905893i −0.0131046 + 0.0446302i
\(413\) 17.7091 0.871408
\(414\) 3.31794 + 13.9997i 0.163068 + 0.688047i
\(415\) 4.12220 0.202351
\(416\) 0.216206 0.736331i 0.0106004 0.0361016i
\(417\) 10.2093 28.5406i 0.499953 1.39764i
\(418\) −24.8289 15.9566i −1.21442 0.780461i
\(419\) 2.39837 16.6811i 0.117168 0.814923i −0.843481 0.537159i \(-0.819498\pi\)
0.960649 0.277764i \(-0.0895933\pi\)
\(420\) 1.98699 + 1.44609i 0.0969554 + 0.0705621i
\(421\) 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
\(423\) 12.8600 15.6753i 0.625275 0.762158i
\(424\) −3.16753 1.44656i −0.153829 0.0702512i
\(425\) 1.87267 0.549864i 0.0908376 0.0266723i
\(426\) −20.4125 + 15.7141i −0.988990 + 0.761350i
\(427\) 9.01674 19.7439i 0.436350 0.955474i
\(428\) 2.50472 + 17.4207i 0.121070 + 0.842061i
\(429\) 4.59799 + 2.43087i 0.221993 + 0.117363i
\(430\) 0.113987 + 0.249598i 0.00549696 + 0.0120367i
\(431\) 13.4649 8.65334i 0.648579 0.416817i −0.174567 0.984645i \(-0.555853\pi\)
0.823147 + 0.567829i \(0.192216\pi\)
\(432\) −4.28215 2.94334i −0.206025 0.141611i
\(433\) −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
\(435\) 0.844119 + 9.92206i 0.0404724 + 0.475726i
\(436\) 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
\(441\) 14.6332 2.50800i 0.696820 0.119428i
\(442\) −0.368925 0.0530435i −0.0175480 0.00252302i
\(443\) 12.3954 + 19.2876i 0.588923 + 0.916383i 0.999989 + 0.00477675i \(0.00152049\pi\)
−0.411065 + 0.911606i \(0.634843\pi\)
\(444\) 6.19603 6.36525i 0.294051 0.302081i
\(445\) −9.99400 11.5337i −0.473761 0.546749i
\(446\) −29.1461 + 4.19057i −1.38011 + 0.198429i
\(447\) −1.36191 + 23.4837i −0.0644163 + 1.11074i
\(448\) −0.403491 1.37417i −0.0190632 0.0649232i
\(449\) −0.217998 0.742433i −0.0102880 0.0350376i 0.954189 0.299204i \(-0.0967212\pi\)
−0.964477 + 0.264167i \(0.914903\pi\)
\(450\) 11.4716 3.70683i 0.540776 0.174742i
\(451\) 11.9114 1.71260i 0.560884 0.0806430i
\(452\) 11.1412 + 12.8576i 0.524036 + 0.604769i
\(453\) −15.2600 14.8543i −0.716979 0.697918i
\(454\) 10.4793 + 16.3061i 0.491818 + 0.765283i
\(455\) 1.07776 + 0.154958i 0.0505261 + 0.00726456i
\(456\) 12.8022 + 2.60486i 0.599520 + 0.121984i
\(457\) 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 \(-0.977175\pi\)
0.997430 0.0716446i \(-0.0228247\pi\)
\(462\) 9.67138 0.822792i 0.449953 0.0382798i
\(463\) −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
\(465\) −0.0606658 0.261844i −0.00281331 0.0121427i
\(466\) −3.90718 + 2.51099i −0.180996 + 0.116319i
\(467\) 2.39118 + 5.23595i 0.110651 + 0.242291i 0.956854 0.290569i \(-0.0938446\pi\)
−0.846204 + 0.532860i \(0.821117\pi\)
\(468\) −2.28682 0.266138i −0.105708 0.0123022i
\(469\) −1.42223 9.89185i −0.0656727 0.456763i
\(470\) −2.78143 + 6.09048i −0.128298 + 0.280933i
\(471\) 12.0169 + 15.6099i 0.553709 + 0.719265i
\(472\) 11.8643 3.48366i 0.546097 0.160349i
\(473\) 0.985826 + 0.450212i 0.0453283 + 0.0207007i
\(474\) −5.90559 10.4772i −0.271253 0.481235i
\(475\) −22.9076 + 19.8496i −1.05107 + 0.910761i
\(476\) −0.632723 + 0.288955i −0.0290008 + 0.0132442i
\(477\) −2.67207 + 10.0991i −0.122346 + 0.462406i
\(478\) 0.375049 2.60852i 0.0171543 0.119311i
\(479\) −15.7608 10.1288i −0.720129 0.462799i 0.128553 0.991703i \(-0.458967\pi\)
−0.848682 + 0.528904i \(0.822603\pi\)
\(480\) 1.61566 + 0.577942i 0.0737446 + 0.0263793i
\(481\) 1.10883 3.77634i 0.0505584 0.172186i
\(482\) 10.2023 0.464703
\(483\) 11.4314 + 3.29411i 0.520147 + 0.149887i
\(484\) −4.31063 −0.195938
\(485\) 0.509583 1.73548i 0.0231390 0.0788040i
\(486\) −6.53299 + 14.1534i −0.296343 + 0.642013i
\(487\) 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
\(489\) −15.1788 + 20.8563i −0.686410 + 0.943156i
\(490\) −4.45972 + 2.03669i −0.201470 + 0.0920082i
\(491\) −3.89586 + 3.37578i −0.175818 + 0.152347i −0.738324 0.674446i \(-0.764383\pi\)
0.562507 + 0.826793i \(0.309837\pi\)
\(492\) −4.64043 + 2.61562i −0.209207 + 0.117921i
\(493\) −2.56382 1.17086i −0.115468 0.0527327i
\(494\) 5.55402 1.63081i 0.249887 0.0733735i
\(495\) −6.02146 + 9.94903i −0.270645 + 0.447176i
\(496\) −0.0650700 + 0.142484i −0.00292173 + 0.00639770i
\(497\) 3.03139 + 21.0837i 0.135976 + 0.945735i
\(498\) −3.36842 + 6.37137i −0.150942 + 0.285508i
\(499\) −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
\(501\) −37.5715 + 8.70483i −1.67857 + 0.388903i
\(502\) 1.10447 1.71859i 0.0492950 0.0767045i
\(503\) −0.00837455 + 0.00966474i −0.000373403 + 0.000430930i −0.755936 0.654645i \(-0.772818\pi\)
0.755563 + 0.655076i \(0.227363\pi\)
\(504\) −3.85877 + 1.88948i −0.171883 + 0.0841641i
\(505\) 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 0.0468863 0.998900i \(-0.485070\pi\)
−0.982060 + 0.188567i \(0.939616\pi\)
\(510\) 0.166164 0.816656i 0.00735786 0.0361621i
\(511\) −1.95778 0.281486i −0.0866070 0.0124522i
\(512\) −0.540641 0.841254i −0.0238932 0.0371785i
\(513\) 1.21432 39.1749i 0.0536134 1.72961i
\(514\) −5.77375 6.66326i −0.254669 0.293904i
\(515\) −0.925825 + 0.133113i −0.0407967 + 0.00586568i
\(516\) −0.478927 0.0277749i −0.0210836 0.00122272i
\(517\) 7.45046 + 25.3739i 0.327671 + 1.11594i
\(518\) −2.06934 7.04752i −0.0909216 0.309650i
\(519\) −0.356253 0.0206605i −0.0156378 0.000906895i
\(520\) 0.752532 0.108198i 0.0330007 0.00474478i
\(521\) 8.85887 + 10.2237i 0.388114 + 0.447907i 0.915862 0.401494i \(-0.131509\pi\)
−0.527748 + 0.849401i \(0.676963\pi\)
\(522\) −16.0255 6.80303i −0.701418 0.297760i
\(523\) 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
\(525\) 1.98754 9.76826i 0.0867432 0.426322i
\(526\) −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
\(531\) −16.3134 33.3158i −0.707941 1.44578i
\(532\) 7.07425 8.16412i 0.306708 0.353959i
\(533\) −1.27599 + 1.98548i −0.0552694 + 0.0860008i
\(534\) 25.9932 6.02230i 1.12484 0.260610i
\(535\) −14.6680 + 9.42658i −0.634155 + 0.407547i
\(536\) −2.89872 6.34731i −0.125206 0.274162i
\(537\) 7.41150 14.0189i 0.319830 0.604959i
\(538\) 1.54121 + 10.7193i 0.0664461 + 0.462143i
\(539\) −8.04423 + 17.6144i −0.346489 + 0.758706i
\(540\) 0.890118 5.07022i 0.0383046 0.218188i
\(541\) −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
\(543\) −8.25612 + 4.65364i −0.354304 + 0.199707i
\(544\) −0.367053 + 0.318053i −0.0157373 + 0.0136364i
\(545\) −6.58030 + 3.00512i −0.281869 + 0.128725i
\(546\) −1.12019 + 1.53919i −0.0479396 + 0.0658711i
\(547\) −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
\(549\) −45.4500 + 1.22479i −1.93976 + 0.0522729i
\(550\) −4.42998 + 15.0871i −0.188895 + 0.643317i
\(551\) 43.7728 1.86479
\(552\) 8.30652 0.0418409i 0.353549 0.00178087i
\(553\) −9.94473 −0.422893
\(554\) 4.85453 16.5330i 0.206249 0.702421i
\(555\) 8.28607 + 2.96402i 0.351724 + 0.125816i
\(556\) −14.7223 9.46147i −0.624366 0.401256i
\(557\) 3.06304 21.3039i 0.129785 0.902677i −0.816039 0.577997i \(-0.803834\pi\)
0.945824 0.324680i \(-0.105256\pi\)
\(558\) 0.454284 + 0.120197i 0.0192314 + 0.00508833i
\(559\) −0.193346 + 0.0882981i −0.00817766 + 0.00373461i
\(560\) 1.07229 0.929143i 0.0453125 0.0392635i
\(561\) −1.61627 2.86746i −0.0682390 0.121064i
\(562\) −6.82593 3.11730i −0.287935 0.131495i
\(563\) −26.8949 + 7.89705i −1.13348 + 0.332821i −0.794076 0.607819i \(-0.792045\pi\)
−0.339408 + 0.940639i \(0.610227\pi\)
\(564\) −7.14077 9.27582i −0.300681 0.390583i
\(565\) −7.00164 + 15.3315i −0.294561 + 0.644999i
\(566\) −3.65573 25.4262i −0.153662 1.06874i
\(567\) 7.54253 + 10.4524i 0.316756 + 0.438959i
\(568\) 6.17840 + 13.5288i 0.259240 + 0.567656i
\(569\) 33.4384 21.4895i 1.40181 0.900888i 0.401919 0.915675i \(-0.368343\pi\)
0.999891 + 0.0147870i \(0.00470703\pi\)
\(570\) 2.92132 + 12.6089i 0.122361 + 0.528129i
\(571\) −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
\(573\) 20.9174 1.77955i 0.873839 0.0743418i
\(574\) 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
\(579\) −21.6991 4.41508i −0.901783 0.183485i
\(580\) 5.69068 + 0.818196i 0.236293 + 0.0339737i
\(581\) 3.22180 + 5.01322i 0.133663 + 0.207983i
\(582\) 2.26599 + 2.20575i 0.0939285 + 0.0914314i
\(583\) −8.92278 10.2974i −0.369544 0.426476i
\(584\) −1.36699 + 0.196544i −0.0565666 + 0.00813304i
\(585\) −0.701298 2.17032i −0.0289951 0.0897316i
\(586\) 6.75032 + 22.9895i 0.278853 + 0.949687i
\(587\) −0.357155 1.21636i −0.0147414 0.0502045i 0.951794 0.306738i \(-0.0992377\pi\)
−0.966535 + 0.256534i \(0.917419\pi\)
\(588\) 0.496272 8.55731i 0.0204659 0.352897i
\(589\) −1.16947 + 0.168145i −0.0481873 + 0.00692828i
\(590\) 8.02204 + 9.25793i 0.330262 + 0.381143i
\(591\) −26.5028 + 27.2266i −1.09018 + 1.11995i
\(592\) −2.77272 4.31444i −0.113958 0.177322i
\(593\) 19.7497 + 2.83958i 0.811023 + 0.116608i 0.535335 0.844640i \(-0.320185\pi\)
0.275688 + 0.961247i \(0.411094\pi\)
\(594\) −10.4571 17.4367i −0.429058 0.715435i
\(595\) −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 \(0.179683\pi\)
−0.844862 + 0.534985i \(0.820317\pi\)
\(600\) −0.590017 6.93526i −0.0240874 0.283131i
\(601\) −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
\(603\) −17.2992 + 11.7879i −0.704479 + 0.480039i
\(604\) −10.3434 + 6.64731i −0.420868 + 0.270475i
\(605\) −1.77402 3.88457i −0.0721243 0.157930i
\(606\) −15.9616 8.43857i −0.648394 0.342793i
\(607\) 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
\(609\) −11.4070 + 8.78139i −0.462234 + 0.355840i
\(610\) 14.4062 4.23003i 0.583289 0.171269i
\(611\) −4.71787 2.15458i −0.190865 0.0871650i
\(612\) 1.12646 + 0.924149i 0.0455345 + 0.0373565i
\(613\) 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
\(615\) −4.26685 3.10533i −0.172056 0.125219i
\(616\) 0.797524 5.54690i 0.0321332 0.223491i
\(617\) 21.7944 + 14.0064i 0.877410 + 0.563877i 0.900011 0.435867i \(-0.143558\pi\)
−0.0226007 + 0.999745i \(0.507195\pi\)
\(618\) 0.550786 1.53975i 0.0221558 0.0619377i
\(619\) −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
\(621\) −4.33331 24.5402i −0.173890 0.984765i
\(622\) 19.1016 0.765903
\(623\) 6.21567 21.1686i 0.249025 0.848103i
\(624\) −0.447691 + 1.25154i −0.0179220 + 0.0501018i
\(625\) 9.45682 + 6.07753i 0.378273 + 0.243101i
\(626\) −0.986661 + 6.86238i −0.0394349 + 0.274276i
\(627\) 41.3327 + 30.0811i 1.65067 + 1.20132i
\(628\) 10.3458 4.72475i 0.412841 0.188538i
\(629\) −1.88246 + 1.63116i −0.0750586 + 0.0650387i
\(630\) −3.29079 2.69976i −0.131108 0.107561i
\(631\) 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
\(633\) 33.5129 25.7991i 1.33202 1.02542i
\(634\) −3.84151 + 8.41174i −0.152566 + 0.334073i
\(635\) 2.13652 + 14.8598i 0.0847852 + 0.589694i
\(636\) 5.33205 + 2.81895i 0.211430 + 0.111779i
\(637\) −1.57768 3.45464i −0.0625100 0.136878i
\(638\) 19.1027 12.2765i 0.756282 0.486033i
\(639\) 36.8720 25.1250i 1.45864 0.993929i
\(640\) 0.535606 0.833419i 0.0211717 0.0329438i
\(641\) −28.9540 + 33.4147i −1.14361 + 1.31980i −0.203447 + 0.979086i \(0.565214\pi\)
−0.940167 + 0.340715i \(0.889331\pi\)
\(642\) −2.58408 30.3741i −0.101985 1.19877i
\(643\) 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 0.373396 0.927672i \(-0.378193\pi\)
−0.865090 + 0.501617i \(0.832739\pi\)
\(648\) 7.10929 + 5.51887i 0.279279 + 0.216802i
\(649\) 47.8909 + 6.88567i 1.87988 + 0.270286i
\(650\) −1.66728 2.59434i −0.0653960 0.101758i
\(651\) 0.271027 0.278429i 0.0106224 0.0109125i
\(652\) 9.75268 + 11.2552i 0.381945 + 0.440788i
\(653\) 27.5008 3.95401i 1.07619 0.154732i 0.418645 0.908150i \(-0.362505\pi\)
0.657542 + 0.753417i \(0.271596\pi\)
\(654\) 0.732246 12.6263i 0.0286331 0.493726i
\(655\) −3.47746 11.8431i −0.135876 0.462750i
\(656\) 0.866453 + 2.95087i 0.0338293 + 0.115212i
\(657\) 1.27393 + 3.94244i 0.0497005 + 0.153809i
\(658\) −9.58084 + 1.37752i −0.373500 + 0.0537012i
\(659\) 4.23361 + 4.88584i 0.164918 + 0.190325i 0.832193 0.554486i \(-0.187085\pi\)
−0.667275 + 0.744811i \(0.732540\pi\)
\(660\) 4.81117 + 4.68327i 0.187275 + 0.182296i
\(661\) −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
\(663\) 0.632606 + 0.128716i 0.0245684 + 0.00499890i
\(664\) 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
\(669\) 50.8181 4.32335i 1.96474 0.167150i
\(670\) 4.52699 5.22442i 0.174893 0.201837i
\(671\) 32.0609 49.8877i 1.23770 1.92589i
\(672\) 0.559894 + 2.41659i 0.0215984 + 0.0932221i
\(673\) −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
\(675\) −20.2078 + 5.25928i −0.777797 + 0.202430i
\(676\) −1.76628 12.2847i −0.0679338 0.472490i
\(677\) −16.0588 + 35.1640i −0.617192 + 1.35146i 0.300353 + 0.953828i \(0.402896\pi\)
−0.917545 + 0.397633i \(0.869832\pi\)
\(678\) −17.9753 23.3498i −0.690338 0.896746i
\(679\) 2.50888 0.736673i 0.0962819 0.0282709i
\(680\) −0.437676 0.199880i −0.0167841 0.00766505i
\(681\) −16.4851 29.2465i −0.631709 1.12073i
\(682\) −0.463205 + 0.401370i −0.0177370 + 0.0153692i
\(683\) −31.8935 + 14.5653i −1.22037 + 0.557325i −0.918272 0.395951i \(-0.870415\pi\)
−0.302100 + 0.953276i \(0.597688\pi\)
\(684\) −21.8757 5.78798i −0.836439 0.221309i
\(685\) 0.0258307 0.179656i 0.000986939 0.00686431i
\(686\) −14.3963 9.25194i −0.549653 0.353241i
\(687\) −8.17073 2.92277i −0.311733 0.111511i
\(688\) −0.0780324 + 0.265754i −0.00297496 + 0.0101318i
\(689\) 2.67230 0.101807
\(690\) 3.45622 + 7.46829i 0.131576 + 0.284313i
\(691\) −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
\(693\) −16.8057 + 0.452883i −0.638397 + 0.0172036i
\(694\) 13.5920 + 8.73502i 0.515944 + 0.331577i
\(695\) 2.46738 17.1610i 0.0935932 0.650955i
\(696\) −5.91471 + 8.12706i −0.224196 + 0.308055i
\(697\) 1.35870 0.620499i 0.0514645 0.0235031i
\(698\) −10.2343 + 8.86810i −0.387375 + 0.335663i
\(699\) 7.00788 3.95005i 0.265062 0.149405i
\(700\) −5.23517 2.39082i −0.197871 0.0903646i
\(701\) −3.40079 + 0.998563i −0.128446 + 0.0377152i −0.345324 0.938484i \(-0.612231\pi\)
0.216878 + 0.976199i \(0.430413\pi\)
\(702\) 3.92755 + 0.689513i 0.148236 + 0.0260240i
\(703\) 16.0699 35.1882i 0.606089 1.32715i
\(704\) −0.556861 3.87305i −0.0209875 0.145971i
\(705\) 5.42025 10.2524i 0.204139 0.386128i
\(706\) −5.05765 11.0747i −0.190347 0.416802i
\(707\) −12.5591 + 8.07126i −0.472334 + 0.303551i
\(708\) −20.8644 + 4.83401i −0.784132 + 0.181673i
\(709\) 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
\(711\) 9.16096 + 18.7089i 0.343563 + 0.701637i
\(712\) 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
\(717\) −0.910096 + 4.47290i −0.0339882 + 0.167044i
\(718\) −26.7439 3.84519i −0.998073 0.143501i
\(719\) −8.91727 13.8755i −0.332558 0.517470i 0.634198 0.773171i \(-0.281330\pi\)
−0.966756 + 0.255700i \(0.917694\pi\)
\(720\) −2.73576 1.16136i −0.101956 0.0432815i
\(721\) −0.885485 1.02190i −0.0329772 0.0380577i
\(722\) 37.5085 5.39291i 1.39592 0.200703i
\(723\) −17.6413 1.02309i −0.656087 0.0380491i
\(724\) 1.54157 + 5.25010i 0.0572919 + 0.195118i
\(725\) −6.57016 22.3759i −0.244010 0.831020i
\(726\) 7.45370 + 0.432269i 0.276633 + 0.0160430i
\(727\) 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
\(729\) 12.7158 23.8182i 0.470956 0.882157i
\(730\) −0.739699 1.15099i −0.0273775 0.0426002i
\(731\) 0.133151 + 0.0191443i 0.00492478 + 0.000708076i
\(732\) −5.23383 + 25.7230i −0.193448 + 0.950750i
\(733\) 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
\(738\) 8.28628 4.05745i 0.305022 0.149357i
\(739\) 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
\(741\) −9.76724 + 2.26295i −0.358809 + 0.0831314i
\(742\) 4.19545 2.69625i 0.154020 0.0989826i
\(743\) −11.0460 24.1874i −0.405239 0.887350i −0.996712 0.0810253i \(-0.974181\pi\)
0.591473 0.806325i \(-0.298547\pi\)
\(744\) 0.126804 0.239850i 0.00464885 0.00879331i
\(745\) 1.91479 + 13.3177i 0.0701527 + 0.487922i
\(746\) −8.22011 + 17.9995i −0.300960 + 0.659010i
\(747\) 6.46340 10.6792i 0.236484 0.390733i
\(748\) −1.82343 + 0.535407i −0.0666711 + 0.0195764i
\(749\) −22.9283 10.4710i −0.837781 0.382602i
\(750\) 13.4810 7.59871i 0.492258 0.277466i
\(751\) −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
\(753\) −2.08213 + 2.86094i −0.0758772 + 0.104258i
\(754\) −0.633800 + 4.40817i −0.0230816 + 0.160536i
\(755\) −10.2471 6.58541i −0.372930 0.239668i
\(756\) 6.86185 2.88023i 0.249563 0.104753i
\(757\) 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
\(759\) 29.6332 + 13.3531i 1.07562 + 0.484686i
\(760\) 7.47259 0.271059
\(761\) −5.34989 + 18.2201i −0.193933 + 0.660476i 0.803905 + 0.594758i \(0.202752\pi\)
−0.997838 + 0.0657185i \(0.979066\pi\)
\(762\) −24.7135 8.84031i −0.895276 0.320251i
\(763\) −8.79766 5.65391i −0.318497 0.204685i
\(764\) 1.72490 11.9969i 0.0624047 0.434034i
\(765\) −0.369216 + 1.39545i −0.0133490 + 0.0504527i
\(766\) −2.17402 + 0.992843i −0.0785507 + 0.0358729i
\(767\) −7.17147 + 6.21412i −0.258947 + 0.224379i
\(768\) 0.850486 + 1.50887i 0.0306893 + 0.0544465i
\(769\) −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
\(771\) 9.31546 + 12.1007i 0.335488 + 0.435797i
\(772\) −5.31094 <