Properties

Label 637.2.bl.a.534.3
Level $637$
Weight $2$
Character 637.534
Analytic conductor $5.086$
Analytic rank $0$
Dimension $324$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 637 = 7^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 637.bl (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.08647060876\)
Analytic rank: \(0\)
Dimension: \(324\)
Relative dimension: \(27\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 534.3
Character \(\chi\) \(=\) 637.534
Dual form 637.2.bl.a.235.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.35574 + 0.355071i) q^{2} +(-1.45752 - 0.993721i) q^{3} +(3.51230 - 1.08340i) q^{4} +(0.0168481 - 0.224822i) q^{5} +(3.78638 + 1.82343i) q^{6} +(1.48565 + 2.18925i) q^{7} +(-3.59653 + 1.73200i) q^{8} +(0.0408633 + 0.104118i) q^{9} +O(q^{10})\) \(q+(-2.35574 + 0.355071i) q^{2} +(-1.45752 - 0.993721i) q^{3} +(3.51230 - 1.08340i) q^{4} +(0.0168481 - 0.224822i) q^{5} +(3.78638 + 1.82343i) q^{6} +(1.48565 + 2.18925i) q^{7} +(-3.59653 + 1.73200i) q^{8} +(0.0408633 + 0.104118i) q^{9} +(0.0401381 + 0.535605i) q^{10} +(-1.45337 + 3.70313i) q^{11} +(-6.19584 - 1.91116i) q^{12} +(-0.623490 - 0.781831i) q^{13} +(-4.27716 - 4.62980i) q^{14} +(-0.247967 + 0.310941i) q^{15} +(1.78368 - 1.21609i) q^{16} +(3.86357 - 3.58487i) q^{17} +(-0.133233 - 0.230766i) q^{18} +(-2.13151 + 3.69188i) q^{19} +(-0.184397 - 0.807895i) q^{20} +(0.0101342 - 4.66721i) q^{21} +(2.10889 - 9.23967i) q^{22} +(-5.75358 - 5.33854i) q^{23} +(6.96314 + 1.04952i) q^{24} +(4.89389 + 0.737636i) q^{25} +(1.74639 + 1.62041i) q^{26} +(-1.13370 + 4.96708i) q^{27} +(7.58990 + 6.07975i) q^{28} +(-0.546016 - 2.39225i) q^{29} +(0.473740 - 0.820542i) q^{30} +(-2.58754 - 4.48175i) q^{31} +(2.08237 - 1.93216i) q^{32} +(5.79820 - 3.95314i) q^{33} +(-7.82869 + 9.81686i) q^{34} +(0.517223 - 0.297123i) q^{35} +(0.256326 + 0.321422i) q^{36} +(3.94028 + 1.21542i) q^{37} +(3.71040 - 9.45395i) q^{38} +(0.131827 + 1.75911i) q^{39} +(0.328797 + 0.837761i) q^{40} +(-10.2535 + 4.93783i) q^{41} +(1.63332 + 10.9983i) q^{42} +(9.48642 + 4.56842i) q^{43} +(-1.09270 + 14.5811i) q^{44} +(0.0240965 - 0.00743279i) q^{45} +(15.4495 + 10.5333i) q^{46} +(-8.80720 + 1.32747i) q^{47} -3.80821 q^{48} +(-2.58566 + 6.50495i) q^{49} -11.7907 q^{50} +(-9.19359 + 1.38571i) q^{51} +(-3.03692 - 2.07053i) q^{52} +(-7.43686 + 2.29397i) q^{53} +(0.907048 - 12.1037i) q^{54} +(0.808059 + 0.389141i) q^{55} +(-9.13498 - 5.30057i) q^{56} +(6.77542 - 3.26287i) q^{57} +(2.13569 + 5.44166i) q^{58} +(0.822910 + 10.9810i) q^{59} +(-0.534060 + 1.36076i) q^{60} +(-13.9022 - 4.28827i) q^{61} +(7.68690 + 9.63907i) q^{62} +(-0.167232 + 0.244144i) q^{63} +(-6.91145 + 8.66669i) q^{64} +(-0.186278 + 0.127002i) q^{65} +(-12.2554 + 11.3714i) q^{66} +(1.19198 + 2.06458i) q^{67} +(9.68615 - 16.7769i) q^{68} +(3.08094 + 13.4985i) q^{69} +(-1.11294 + 0.883597i) q^{70} +(0.563145 - 2.46730i) q^{71} +(-0.327299 - 0.303689i) q^{72} +(7.88121 + 1.18790i) q^{73} +(-9.71384 - 1.46413i) q^{74} +(-6.39995 - 5.93828i) q^{75} +(-3.48671 + 15.2763i) q^{76} +(-10.2663 + 2.31977i) q^{77} +(-0.935160 - 4.09720i) q^{78} +(-8.76693 + 15.1848i) q^{79} +(-0.243353 - 0.421500i) q^{80} +(6.83427 - 6.34128i) q^{81} +(22.4013 - 15.2730i) q^{82} +(2.44136 - 3.06137i) q^{83} +(-5.02086 - 16.4036i) q^{84} +(-0.740864 - 0.929014i) q^{85} +(-23.9697 - 7.39366i) q^{86} +(-1.58140 + 4.02935i) q^{87} +(-1.18672 - 15.8357i) q^{88} +(1.23812 + 3.15468i) q^{89} +(-0.0541260 + 0.0260657i) q^{90} +(0.785337 - 2.52651i) q^{91} +(-25.9920 - 12.5171i) q^{92} +(-0.682215 + 9.10353i) q^{93} +(20.2761 - 6.25436i) q^{94} +(0.794105 + 0.541412i) q^{95} +(-4.95513 + 0.746866i) q^{96} -5.13092 q^{97} +(3.78143 - 16.2421i) q^{98} -0.444952 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 324 q - 3 q^{2} + 25 q^{4} + q^{5} - 24 q^{6} - 21 q^{7} + 24 q^{8} + 11 q^{9} + O(q^{10}) \) \( 324 q - 3 q^{2} + 25 q^{4} + q^{5} - 24 q^{6} - 21 q^{7} + 24 q^{8} + 11 q^{9} - 5 q^{10} - 18 q^{11} - 40 q^{12} + 54 q^{13} - 15 q^{14} + 6 q^{15} + 29 q^{16} - 6 q^{17} + 49 q^{18} - 24 q^{19} + 11 q^{20} - 6 q^{22} - 42 q^{23} + 20 q^{24} + 14 q^{25} + 3 q^{26} - 33 q^{27} + 7 q^{28} - 22 q^{29} + 57 q^{30} - 31 q^{31} - 139 q^{32} + 6 q^{33} + 50 q^{34} + 42 q^{35} - 78 q^{36} - 4 q^{37} - 90 q^{38} + 40 q^{40} + 8 q^{41} + 20 q^{42} + 34 q^{43} - 256 q^{44} + 19 q^{45} + 85 q^{46} + 34 q^{47} - 10 q^{48} + 51 q^{49} - 54 q^{50} + 74 q^{51} - 25 q^{52} + 10 q^{53} + 111 q^{54} - 10 q^{55} - 196 q^{56} - 5 q^{57} - 21 q^{58} + 65 q^{59} + 87 q^{60} + 3 q^{61} - 54 q^{62} - 35 q^{63} - 28 q^{64} - q^{65} - 110 q^{66} + 135 q^{67} - 158 q^{68} + 42 q^{69} + 44 q^{70} + 9 q^{71} - 133 q^{72} + 31 q^{73} - 97 q^{74} - 315 q^{75} - 177 q^{76} + 6 q^{77} - 25 q^{78} + 43 q^{79} - 20 q^{80} - 259 q^{81} + 96 q^{82} + 59 q^{83} + 285 q^{84} + 6 q^{85} + 95 q^{86} - 206 q^{87} + 228 q^{88} + 43 q^{89} - 61 q^{90} - 7 q^{91} + 53 q^{92} - 10 q^{93} - 36 q^{94} - 17 q^{95} + 277 q^{96} + 66 q^{97} + 260 q^{98} - 206 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{4}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.35574 + 0.355071i −1.66576 + 0.251073i −0.913218 0.407471i \(-0.866411\pi\)
−0.752542 + 0.658544i \(0.771173\pi\)
\(3\) −1.45752 0.993721i −0.841500 0.573725i 0.0640584 0.997946i \(-0.479596\pi\)
−0.905559 + 0.424221i \(0.860548\pi\)
\(4\) 3.51230 1.08340i 1.75615 0.541700i
\(5\) 0.0168481 0.224822i 0.00753470 0.100544i −0.992168 0.124907i \(-0.960137\pi\)
0.999703 + 0.0243633i \(0.00775585\pi\)
\(6\) 3.78638 + 1.82343i 1.54578 + 0.744411i
\(7\) 1.48565 + 2.18925i 0.561525 + 0.827460i
\(8\) −3.59653 + 1.73200i −1.27157 + 0.612354i
\(9\) 0.0408633 + 0.104118i 0.0136211 + 0.0347060i
\(10\) 0.0401381 + 0.535605i 0.0126928 + 0.169373i
\(11\) −1.45337 + 3.70313i −0.438208 + 1.11654i 0.525787 + 0.850616i \(0.323771\pi\)
−0.963995 + 0.265920i \(0.914324\pi\)
\(12\) −6.19584 1.91116i −1.78859 0.551706i
\(13\) −0.623490 0.781831i −0.172925 0.216841i
\(14\) −4.27716 4.62980i −1.14312 1.23737i
\(15\) −0.247967 + 0.310941i −0.0640248 + 0.0802846i
\(16\) 1.78368 1.21609i 0.445920 0.304023i
\(17\) 3.86357 3.58487i 0.937053 0.869458i −0.0545848 0.998509i \(-0.517384\pi\)
0.991638 + 0.129051i \(0.0411931\pi\)
\(18\) −0.133233 0.230766i −0.0314033 0.0543920i
\(19\) −2.13151 + 3.69188i −0.489002 + 0.846976i −0.999920 0.0126536i \(-0.995972\pi\)
0.510918 + 0.859629i \(0.329305\pi\)
\(20\) −0.184397 0.807895i −0.0412324 0.180651i
\(21\) 0.0101342 4.66721i 0.00221145 1.01847i
\(22\) 2.10889 9.23967i 0.449618 1.96990i
\(23\) −5.75358 5.33854i −1.19970 1.11316i −0.990815 0.135223i \(-0.956825\pi\)
−0.208888 0.977940i \(-0.566984\pi\)
\(24\) 6.96314 + 1.04952i 1.42135 + 0.214233i
\(25\) 4.89389 + 0.737636i 0.978779 + 0.147527i
\(26\) 1.74639 + 1.62041i 0.342495 + 0.317788i
\(27\) −1.13370 + 4.96708i −0.218182 + 0.955916i
\(28\) 7.58990 + 6.07975i 1.43436 + 1.14896i
\(29\) −0.546016 2.39225i −0.101393 0.444230i −0.999985 0.00544625i \(-0.998266\pi\)
0.898592 0.438784i \(-0.144591\pi\)
\(30\) 0.473740 0.820542i 0.0864927 0.149810i
\(31\) −2.58754 4.48175i −0.464735 0.804945i 0.534454 0.845197i \(-0.320517\pi\)
−0.999190 + 0.0402522i \(0.987184\pi\)
\(32\) 2.08237 1.93216i 0.368115 0.341561i
\(33\) 5.79820 3.95314i 1.00934 0.688154i
\(34\) −7.82869 + 9.81686i −1.34261 + 1.68358i
\(35\) 0.517223 0.297123i 0.0874267 0.0502230i
\(36\) 0.256326 + 0.321422i 0.0427209 + 0.0535704i
\(37\) 3.94028 + 1.21542i 0.647778 + 0.199813i 0.601196 0.799101i \(-0.294691\pi\)
0.0465818 + 0.998914i \(0.485167\pi\)
\(38\) 3.71040 9.45395i 0.601907 1.53363i
\(39\) 0.131827 + 1.75911i 0.0211092 + 0.281683i
\(40\) 0.328797 + 0.837761i 0.0519873 + 0.132462i
\(41\) −10.2535 + 4.93783i −1.60133 + 0.771160i −0.999620 0.0275550i \(-0.991228\pi\)
−0.601710 + 0.798715i \(0.705514\pi\)
\(42\) 1.63332 + 10.9983i 0.252026 + 1.69708i
\(43\) 9.48642 + 4.56842i 1.44666 + 0.696677i 0.982012 0.188816i \(-0.0604650\pi\)
0.464652 + 0.885493i \(0.346179\pi\)
\(44\) −1.09270 + 14.5811i −0.164731 + 2.19818i
\(45\) 0.0240965 0.00743279i 0.00359210 0.00110802i
\(46\) 15.4495 + 10.5333i 2.27790 + 1.55305i
\(47\) −8.80720 + 1.32747i −1.28466 + 0.193632i −0.755646 0.654980i \(-0.772677\pi\)
−0.529016 + 0.848612i \(0.677439\pi\)
\(48\) −3.80821 −0.549667
\(49\) −2.58566 + 6.50495i −0.369380 + 0.929278i
\(50\) −11.7907 −1.66745
\(51\) −9.19359 + 1.38571i −1.28736 + 0.194038i
\(52\) −3.03692 2.07053i −0.421145 0.287132i
\(53\) −7.43686 + 2.29397i −1.02153 + 0.315101i −0.759881 0.650062i \(-0.774743\pi\)
−0.261650 + 0.965163i \(0.584267\pi\)
\(54\) 0.907048 12.1037i 0.123434 1.64711i
\(55\) 0.808059 + 0.389141i 0.108959 + 0.0524717i
\(56\) −9.13498 5.30057i −1.22071 0.708318i
\(57\) 6.77542 3.26287i 0.897426 0.432178i
\(58\) 2.13569 + 5.44166i 0.280430 + 0.714525i
\(59\) 0.822910 + 10.9810i 0.107134 + 1.42960i 0.748891 + 0.662693i \(0.230587\pi\)
−0.641757 + 0.766908i \(0.721794\pi\)
\(60\) −0.534060 + 1.36076i −0.0689469 + 0.175674i
\(61\) −13.9022 4.28827i −1.78000 0.549057i −0.782693 0.622409i \(-0.786154\pi\)
−0.997306 + 0.0733517i \(0.976630\pi\)
\(62\) 7.68690 + 9.63907i 0.976238 + 1.22416i
\(63\) −0.167232 + 0.244144i −0.0210693 + 0.0307592i
\(64\) −6.91145 + 8.66669i −0.863932 + 1.08334i
\(65\) −0.186278 + 0.127002i −0.0231049 + 0.0157527i
\(66\) −12.2554 + 11.3714i −1.50854 + 1.39972i
\(67\) 1.19198 + 2.06458i 0.145624 + 0.252228i 0.929606 0.368556i \(-0.120148\pi\)
−0.783982 + 0.620784i \(0.786814\pi\)
\(68\) 9.68615 16.7769i 1.17462 2.03450i
\(69\) 3.08094 + 13.4985i 0.370902 + 1.62503i
\(70\) −1.11294 + 0.883597i −0.133022 + 0.105610i
\(71\) 0.563145 2.46730i 0.0668330 0.292815i −0.930456 0.366405i \(-0.880589\pi\)
0.997289 + 0.0735902i \(0.0234457\pi\)
\(72\) −0.327299 0.303689i −0.0385725 0.0357901i
\(73\) 7.88121 + 1.18790i 0.922425 + 0.139033i 0.593050 0.805166i \(-0.297924\pi\)
0.329376 + 0.944199i \(0.393162\pi\)
\(74\) −9.71384 1.46413i −1.12921 0.170201i
\(75\) −6.39995 5.93828i −0.739002 0.685694i
\(76\) −3.48671 + 15.2763i −0.399953 + 1.75231i
\(77\) −10.2663 + 2.31977i −1.16995 + 0.264363i
\(78\) −0.935160 4.09720i −0.105886 0.463917i
\(79\) −8.76693 + 15.1848i −0.986356 + 1.70842i −0.350608 + 0.936522i \(0.614025\pi\)
−0.635748 + 0.771897i \(0.719308\pi\)
\(80\) −0.243353 0.421500i −0.0272077 0.0471251i
\(81\) 6.83427 6.34128i 0.759363 0.704586i
\(82\) 22.4013 15.2730i 2.47382 1.68662i
\(83\) 2.44136 3.06137i 0.267975 0.336030i −0.629578 0.776938i \(-0.716772\pi\)
0.897552 + 0.440908i \(0.145343\pi\)
\(84\) −5.02086 16.4036i −0.547821 1.78978i
\(85\) −0.740864 0.929014i −0.0803580 0.100766i
\(86\) −23.9697 7.39366i −2.58471 0.797279i
\(87\) −1.58140 + 4.02935i −0.169544 + 0.431992i
\(88\) −1.18672 15.8357i −0.126505 1.68809i
\(89\) 1.23812 + 3.15468i 0.131241 + 0.334396i 0.981355 0.192202i \(-0.0615628\pi\)
−0.850115 + 0.526597i \(0.823468\pi\)
\(90\) −0.0541260 + 0.0260657i −0.00570538 + 0.00274757i
\(91\) 0.785337 2.52651i 0.0823257 0.264850i
\(92\) −25.9920 12.5171i −2.70986 1.30500i
\(93\) −0.682215 + 9.10353i −0.0707424 + 0.943992i
\(94\) 20.2761 6.25436i 2.09132 0.645088i
\(95\) 0.794105 + 0.541412i 0.0814734 + 0.0555477i
\(96\) −4.95513 + 0.746866i −0.505731 + 0.0762267i
\(97\) −5.13092 −0.520966 −0.260483 0.965478i \(-0.583882\pi\)
−0.260483 + 0.965478i \(0.583882\pi\)
\(98\) 3.78143 16.2421i 0.381982 1.64070i
\(99\) −0.444952 −0.0447194
\(100\) 17.9880 2.71125i 1.79880 0.271125i
\(101\) 4.50199 + 3.06941i 0.447965 + 0.305417i 0.766209 0.642592i \(-0.222141\pi\)
−0.318244 + 0.948009i \(0.603093\pi\)
\(102\) 21.1657 6.52875i 2.09572 0.646443i
\(103\) −0.249327 + 3.32703i −0.0245669 + 0.327822i 0.971357 + 0.237625i \(0.0763689\pi\)
−0.995924 + 0.0901975i \(0.971250\pi\)
\(104\) 3.59653 + 1.73200i 0.352669 + 0.169836i
\(105\) −1.04912 0.0809120i −0.102384 0.00789620i
\(106\) 16.7048 8.04460i 1.62251 0.781361i
\(107\) 4.24861 + 10.8253i 0.410729 + 1.04652i 0.975251 + 0.221101i \(0.0709652\pi\)
−0.564522 + 0.825418i \(0.690940\pi\)
\(108\) 1.39943 + 18.6741i 0.134660 + 1.79692i
\(109\) −5.40354 + 13.7680i −0.517565 + 1.31873i 0.398302 + 0.917254i \(0.369599\pi\)
−0.915868 + 0.401480i \(0.868496\pi\)
\(110\) −2.04175 0.629797i −0.194673 0.0600488i
\(111\) −4.53526 5.68703i −0.430468 0.539789i
\(112\) 5.31227 + 2.09823i 0.501962 + 0.198264i
\(113\) −9.21269 + 11.5523i −0.866657 + 1.08675i 0.128813 + 0.991669i \(0.458883\pi\)
−0.995469 + 0.0950842i \(0.969688\pi\)
\(114\) −14.8026 + 10.0922i −1.38639 + 0.945224i
\(115\) −1.29716 + 1.20359i −0.120961 + 0.112235i
\(116\) −4.50954 7.81075i −0.418700 0.725210i
\(117\) 0.0559249 0.0968648i 0.00517026 0.00895516i
\(118\) −5.83759 25.5761i −0.537393 2.35447i
\(119\) 13.5881 + 3.13246i 1.24562 + 0.287152i
\(120\) 0.353272 1.54779i 0.0322492 0.141293i
\(121\) −3.53731 3.28215i −0.321574 0.298377i
\(122\) 34.2727 + 5.16578i 3.10291 + 0.467688i
\(123\) 19.8515 + 2.99214i 1.78995 + 0.269792i
\(124\) −13.9437 12.9379i −1.25218 1.16186i
\(125\) 0.499129 2.18683i 0.0446435 0.195596i
\(126\) 0.307267 0.634519i 0.0273735 0.0565274i
\(127\) −2.67924 11.7385i −0.237744 1.04162i −0.943032 0.332703i \(-0.892039\pi\)
0.705288 0.708921i \(-0.250818\pi\)
\(128\) 10.3636 17.9503i 0.916023 1.58660i
\(129\) −9.28692 16.0854i −0.817668 1.41624i
\(130\) 0.393727 0.365325i 0.0345322 0.0320412i
\(131\) −1.24200 + 0.846780i −0.108514 + 0.0739835i −0.616361 0.787464i \(-0.711394\pi\)
0.507847 + 0.861447i \(0.330441\pi\)
\(132\) 16.0822 20.1664i 1.39977 1.75526i
\(133\) −11.2492 + 0.818448i −0.975425 + 0.0709685i
\(134\) −3.54107 4.44037i −0.305902 0.383589i
\(135\) 1.09761 + 0.338568i 0.0944672 + 0.0291393i
\(136\) −7.68646 + 19.5848i −0.659109 + 1.67938i
\(137\) 0.547686 + 7.30836i 0.0467920 + 0.624396i 0.970469 + 0.241225i \(0.0775490\pi\)
−0.923677 + 0.383171i \(0.874832\pi\)
\(138\) −12.0508 30.7050i −1.02583 2.61378i
\(139\) 8.46739 4.07768i 0.718195 0.345864i −0.0388342 0.999246i \(-0.512364\pi\)
0.757029 + 0.653381i \(0.226650\pi\)
\(140\) 1.49474 1.60394i 0.126328 0.135558i
\(141\) 14.1558 + 6.81708i 1.19214 + 0.574102i
\(142\) −0.450558 + 6.01228i −0.0378100 + 0.504539i
\(143\) 3.80139 1.17257i 0.317888 0.0980554i
\(144\) 0.199504 + 0.136020i 0.0166254 + 0.0113350i
\(145\) −0.547031 + 0.0824517i −0.0454285 + 0.00684724i
\(146\) −18.9879 −1.57145
\(147\) 10.2328 6.91168i 0.843984 0.570065i
\(148\) 15.1562 1.24583
\(149\) 15.9629 2.40602i 1.30773 0.197109i 0.542060 0.840340i \(-0.317645\pi\)
0.765672 + 0.643231i \(0.222406\pi\)
\(150\) 17.1851 + 11.7166i 1.40316 + 0.956659i
\(151\) 0.507610 0.156577i 0.0413088 0.0127421i −0.274032 0.961721i \(-0.588357\pi\)
0.315341 + 0.948979i \(0.397881\pi\)
\(152\) 1.27171 16.9697i 0.103149 1.37643i
\(153\) 0.531128 + 0.255778i 0.0429392 + 0.0206784i
\(154\) 23.3611 9.11005i 1.88249 0.734109i
\(155\) −1.05119 + 0.506227i −0.0844337 + 0.0406611i
\(156\) 2.36884 + 6.03570i 0.189659 + 0.483243i
\(157\) −0.656123 8.75535i −0.0523643 0.698753i −0.960180 0.279383i \(-0.909870\pi\)
0.907815 0.419370i \(-0.137749\pi\)
\(158\) 15.2609 38.8842i 1.21410 3.09346i
\(159\) 13.1189 + 4.04666i 1.04040 + 0.320921i
\(160\) −0.399308 0.500717i −0.0315681 0.0395852i
\(161\) 3.13959 20.5273i 0.247434 1.61777i
\(162\) −13.8482 + 17.3651i −1.08802 + 1.36433i
\(163\) −10.5635 + 7.20206i −0.827396 + 0.564109i −0.901320 0.433155i \(-0.857400\pi\)
0.0739235 + 0.997264i \(0.476448\pi\)
\(164\) −30.6637 + 28.4518i −2.39444 + 2.22171i
\(165\) −0.791066 1.37017i −0.0615844 0.106667i
\(166\) −4.66422 + 8.07866i −0.362014 + 0.627026i
\(167\) −2.37716 10.4150i −0.183950 0.805940i −0.979725 0.200347i \(-0.935793\pi\)
0.795775 0.605593i \(-0.207064\pi\)
\(168\) 8.04715 + 16.8033i 0.620851 + 1.29640i
\(169\) −0.222521 + 0.974928i −0.0171170 + 0.0749945i
\(170\) 2.07515 + 1.92546i 0.159157 + 0.147676i
\(171\) −0.471492 0.0710660i −0.0360559 0.00543455i
\(172\) 38.2685 + 5.76805i 2.91795 + 0.439810i
\(173\) −10.4759 9.72020i −0.796466 0.739013i 0.172818 0.984954i \(-0.444713\pi\)
−0.969285 + 0.245941i \(0.920903\pi\)
\(174\) 2.29467 10.0536i 0.173959 0.762163i
\(175\) 5.65576 + 11.8098i 0.427536 + 0.892740i
\(176\) 1.91100 + 8.37263i 0.144047 + 0.631111i
\(177\) 9.71262 16.8227i 0.730045 1.26447i
\(178\) −4.03683 6.99200i −0.302573 0.524072i
\(179\) −10.1658 + 9.43252i −0.759830 + 0.705019i −0.961613 0.274411i \(-0.911517\pi\)
0.201782 + 0.979430i \(0.435327\pi\)
\(180\) 0.0765814 0.0522123i 0.00570804 0.00389168i
\(181\) 10.8323 13.5833i 0.805158 1.00964i −0.194429 0.980917i \(-0.562285\pi\)
0.999587 0.0287199i \(-0.00914310\pi\)
\(182\) −0.952960 + 6.23065i −0.0706381 + 0.461847i
\(183\) 16.0015 + 20.0652i 1.18286 + 1.48326i
\(184\) 29.9392 + 9.23503i 2.20715 + 0.680816i
\(185\) 0.339638 0.865385i 0.0249707 0.0636244i
\(186\) −1.62528 21.6878i −0.119171 1.59023i
\(187\) 7.66003 + 19.5174i 0.560157 + 1.42726i
\(188\) −29.4953 + 14.2042i −2.15117 + 1.03595i
\(189\) −12.5585 + 4.89741i −0.913497 + 0.356234i
\(190\) −2.06295 0.993462i −0.149662 0.0720733i
\(191\) −1.49666 + 19.9715i −0.108294 + 1.44509i 0.633128 + 0.774047i \(0.281771\pi\)
−0.741422 + 0.671039i \(0.765848\pi\)
\(192\) 18.6859 5.76382i 1.34854 0.415968i
\(193\) −5.86842 4.00102i −0.422418 0.288000i 0.333395 0.942787i \(-0.391806\pi\)
−0.755813 + 0.654787i \(0.772758\pi\)
\(194\) 12.0871 1.82184i 0.867805 0.130801i
\(195\) 0.397708 0.0284805
\(196\) −2.03414 + 25.6486i −0.145296 + 1.83204i
\(197\) −2.62306 −0.186885 −0.0934427 0.995625i \(-0.529787\pi\)
−0.0934427 + 0.995625i \(0.529787\pi\)
\(198\) 1.04819 0.157990i 0.0744918 0.0112278i
\(199\) −17.5209 11.9456i −1.24203 0.846799i −0.249446 0.968389i \(-0.580249\pi\)
−0.992580 + 0.121589i \(0.961201\pi\)
\(200\) −18.8786 + 5.82328i −1.33492 + 0.411768i
\(201\) 0.314271 4.19366i 0.0221670 0.295798i
\(202\) −11.6954 5.63220i −0.822884 0.396280i
\(203\) 4.42606 4.74943i 0.310648 0.333345i
\(204\) −30.7893 + 14.8274i −2.15569 + 1.03812i
\(205\) 0.937382 + 2.38841i 0.0654696 + 0.166814i
\(206\) −0.593984 7.92616i −0.0413848 0.552242i
\(207\) 0.320728 0.817202i 0.0222921 0.0567994i
\(208\) −2.06289 0.636316i −0.143035 0.0441206i
\(209\) −10.5736 13.2589i −0.731394 0.917139i
\(210\) 2.50019 0.181905i 0.172529 0.0125526i
\(211\) −5.62394 + 7.05219i −0.387168 + 0.485493i −0.936776 0.349929i \(-0.886206\pi\)
0.549608 + 0.835422i \(0.314777\pi\)
\(212\) −23.6352 + 16.1142i −1.62327 + 1.10673i
\(213\) −3.27260 + 3.03653i −0.224235 + 0.208060i
\(214\) −13.8524 23.9930i −0.946928 1.64013i
\(215\) 1.18691 2.05579i 0.0809465 0.140204i
\(216\) −4.52558 19.8278i −0.307926 1.34911i
\(217\) 5.96749 12.3231i 0.405100 0.836546i
\(218\) 7.84073 34.3525i 0.531041 2.32664i
\(219\) −10.3066 9.56311i −0.696454 0.646215i
\(220\) 3.25974 + 0.491326i 0.219771 + 0.0331252i
\(221\) −5.21166 0.785531i −0.350574 0.0528405i
\(222\) 12.7032 + 11.7868i 0.852583 + 0.791081i
\(223\) −1.11358 + 4.87891i −0.0745709 + 0.326716i −0.998430 0.0560168i \(-0.982160\pi\)
0.923859 + 0.382733i \(0.125017\pi\)
\(224\) 7.32368 + 1.68832i 0.489334 + 0.112806i
\(225\) 0.123180 + 0.539685i 0.00821197 + 0.0359790i
\(226\) 17.6008 30.4855i 1.17079 2.02786i
\(227\) 0.569739 + 0.986818i 0.0378149 + 0.0654974i 0.884313 0.466894i \(-0.154627\pi\)
−0.846499 + 0.532391i \(0.821294\pi\)
\(228\) 20.2623 18.8007i 1.34190 1.24510i
\(229\) −12.6258 + 8.60811i −0.834335 + 0.568840i −0.903413 0.428771i \(-0.858947\pi\)
0.0690780 + 0.997611i \(0.477994\pi\)
\(230\) 2.62841 3.29592i 0.173312 0.217327i
\(231\) 17.2686 + 6.82072i 1.13619 + 0.448770i
\(232\) 6.10714 + 7.65812i 0.400954 + 0.502780i
\(233\) −10.9600 3.38072i −0.718016 0.221478i −0.0858459 0.996308i \(-0.527359\pi\)
−0.632170 + 0.774830i \(0.717835\pi\)
\(234\) −0.0973508 + 0.248046i −0.00636402 + 0.0162153i
\(235\) 0.150061 + 2.00242i 0.00978887 + 0.130623i
\(236\) 14.7871 + 37.6769i 0.962557 + 2.45256i
\(237\) 27.8674 13.4202i 1.81018 0.871738i
\(238\) −33.1223 2.55451i −2.14700 0.165584i
\(239\) 8.88075 + 4.27674i 0.574448 + 0.276640i 0.698469 0.715640i \(-0.253865\pi\)
−0.124021 + 0.992280i \(0.539579\pi\)
\(240\) −0.0641610 + 0.856169i −0.00414158 + 0.0552655i
\(241\) −22.2382 + 6.85958i −1.43249 + 0.441864i −0.911359 0.411613i \(-0.864966\pi\)
−0.521130 + 0.853477i \(0.674489\pi\)
\(242\) 9.49839 + 6.47589i 0.610580 + 0.416286i
\(243\) −1.14880 + 0.173154i −0.0736958 + 0.0111078i
\(244\) −53.4747 −3.42337
\(245\) 1.41889 + 0.690910i 0.0906498 + 0.0441406i
\(246\) −47.8275 −3.04937
\(247\) 4.21540 0.635370i 0.268220 0.0404276i
\(248\) 17.0685 + 11.6371i 1.08385 + 0.738958i
\(249\) −6.60049 + 2.03598i −0.418289 + 0.129025i
\(250\) −0.399340 + 5.32883i −0.0252565 + 0.337025i
\(251\) 5.96179 + 2.87105i 0.376305 + 0.181219i 0.612470 0.790494i \(-0.290176\pi\)
−0.236165 + 0.971713i \(0.575890\pi\)
\(252\) −0.322863 + 1.03868i −0.0203385 + 0.0654310i
\(253\) 28.1314 13.5474i 1.76860 0.851715i
\(254\) 10.4796 + 26.7016i 0.657548 + 1.67541i
\(255\) 0.156644 + 2.09027i 0.00980943 + 0.130898i
\(256\) −9.94067 + 25.3284i −0.621292 + 1.58303i
\(257\) −6.36985 1.96484i −0.397341 0.122563i 0.0896441 0.995974i \(-0.471427\pi\)
−0.486985 + 0.873411i \(0.661903\pi\)
\(258\) 27.5890 + 34.5956i 1.71762 + 2.15383i
\(259\) 3.19304 + 10.4320i 0.198406 + 0.648210i
\(260\) −0.516668 + 0.647882i −0.0320424 + 0.0401799i
\(261\) 0.226765 0.154606i 0.0140364 0.00956985i
\(262\) 2.62516 2.43579i 0.162183 0.150484i
\(263\) −3.09545 5.36148i −0.190874 0.330603i 0.754666 0.656109i \(-0.227799\pi\)
−0.945540 + 0.325506i \(0.894465\pi\)
\(264\) −14.0066 + 24.2601i −0.862044 + 1.49310i
\(265\) 0.390438 + 1.71062i 0.0239844 + 0.105082i
\(266\) 26.2095 5.92230i 1.60701 0.363119i
\(267\) 1.33029 5.82837i 0.0814122 0.356690i
\(268\) 6.42336 + 5.96000i 0.392369 + 0.364065i
\(269\) 8.12506 + 1.22466i 0.495394 + 0.0746686i 0.391987 0.919971i \(-0.371788\pi\)
0.103406 + 0.994639i \(0.467026\pi\)
\(270\) −2.70590 0.407849i −0.164676 0.0248209i
\(271\) −20.4863 19.0085i −1.24445 1.15468i −0.981826 0.189786i \(-0.939221\pi\)
−0.262627 0.964897i \(-0.584589\pi\)
\(272\) 2.53184 11.0927i 0.153515 0.672595i
\(273\) −3.65529 + 2.90203i −0.221228 + 0.175639i
\(274\) −3.88519 17.0221i −0.234713 1.02835i
\(275\) −9.84421 + 17.0507i −0.593628 + 1.02819i
\(276\) 25.4454 + 44.0728i 1.53163 + 2.65287i
\(277\) 16.8182 15.6050i 1.01051 0.937613i 0.0124498 0.999922i \(-0.496037\pi\)
0.998057 + 0.0623094i \(0.0198465\pi\)
\(278\) −18.4991 + 12.6125i −1.10950 + 0.756447i
\(279\) 0.360895 0.452548i 0.0216062 0.0270934i
\(280\) −1.34559 + 1.96444i −0.0804145 + 0.117398i
\(281\) −10.3690 13.0023i −0.618561 0.775651i 0.369580 0.929199i \(-0.379501\pi\)
−0.988141 + 0.153548i \(0.950930\pi\)
\(282\) −35.7680 11.0330i −2.12995 0.657004i
\(283\) −7.27219 + 18.5293i −0.432287 + 1.10145i 0.534342 + 0.845269i \(0.320560\pi\)
−0.966629 + 0.256181i \(0.917536\pi\)
\(284\) −0.695140 9.27600i −0.0412490 0.550429i
\(285\) −0.619413 1.57824i −0.0366908 0.0934867i
\(286\) −8.53874 + 4.11204i −0.504906 + 0.243150i
\(287\) −26.0433 15.1116i −1.53729 0.892011i
\(288\) 0.286266 + 0.137858i 0.0168684 + 0.00812338i
\(289\) 0.805474 10.7483i 0.0473808 0.632253i
\(290\) 1.25939 0.388470i 0.0739538 0.0228117i
\(291\) 7.47843 + 5.09871i 0.438393 + 0.298891i
\(292\) 28.9681 4.36624i 1.69523 0.255515i
\(293\) 0.701052 0.0409559 0.0204780 0.999790i \(-0.493481\pi\)
0.0204780 + 0.999790i \(0.493481\pi\)
\(294\) −21.6516 + 19.9155i −1.26275 + 1.16149i
\(295\) 2.48263 0.144544
\(296\) −16.2764 + 2.45328i −0.946048 + 0.142594i
\(297\) −16.7461 11.4173i −0.971705 0.662498i
\(298\) −36.7502 + 11.3359i −2.12888 + 0.656673i
\(299\) −0.586541 + 7.82685i −0.0339206 + 0.452638i
\(300\) −28.9121 13.9233i −1.66924 0.803863i
\(301\) 4.09212 + 27.5553i 0.235866 + 1.58826i
\(302\) −1.14020 + 0.549093i −0.0656113 + 0.0315967i
\(303\) −3.51161 8.94745i −0.201737 0.514017i
\(304\) 0.687739 + 9.17725i 0.0394446 + 0.526351i
\(305\) −1.19832 + 3.05328i −0.0686159 + 0.174830i
\(306\) −1.34202 0.413958i −0.0767181 0.0236644i
\(307\) 1.06501 + 1.33548i 0.0607835 + 0.0762201i 0.811294 0.584639i \(-0.198764\pi\)
−0.750510 + 0.660859i \(0.770192\pi\)
\(308\) −33.5450 + 19.2702i −1.91141 + 1.09802i
\(309\) 3.66954 4.60146i 0.208753 0.261768i
\(310\) 2.29659 1.56579i 0.130437 0.0889307i
\(311\) −1.22560 + 1.13719i −0.0694971 + 0.0644839i −0.714157 0.699986i \(-0.753190\pi\)
0.644660 + 0.764470i \(0.276999\pi\)
\(312\) −3.52090 6.09837i −0.199332 0.345252i
\(313\) −2.28553 + 3.95866i −0.129186 + 0.223757i −0.923361 0.383932i \(-0.874570\pi\)
0.794176 + 0.607688i \(0.207903\pi\)
\(314\) 4.65443 + 20.3924i 0.262664 + 1.15081i
\(315\) 0.0520714 + 0.0417108i 0.00293389 + 0.00235014i
\(316\) −14.3409 + 62.8315i −0.806737 + 3.53455i
\(317\) 22.6277 + 20.9955i 1.27090 + 1.17922i 0.974557 + 0.224140i \(0.0719574\pi\)
0.296342 + 0.955082i \(0.404233\pi\)
\(318\) −32.3417 4.87472i −1.81363 0.273361i
\(319\) 9.65239 + 1.45486i 0.540430 + 0.0814568i
\(320\) 1.83202 + 1.69986i 0.102413 + 0.0950253i
\(321\) 4.56487 20.0000i 0.254786 1.11629i
\(322\) −0.107420 + 49.4717i −0.00598631 + 2.75695i
\(323\) 4.99968 + 21.9050i 0.278189 + 1.21883i
\(324\) 17.1338 29.6767i 0.951880 1.64871i
\(325\) −2.47459 4.28611i −0.137265 0.237750i
\(326\) 22.3276 20.7170i 1.23661 1.14741i
\(327\) 21.5573 14.6975i 1.19212 0.812775i
\(328\) 28.3248 35.5181i 1.56397 1.96116i
\(329\) −15.9906 17.3090i −0.881592 0.954278i
\(330\) 2.35005 + 2.94687i 0.129366 + 0.162220i
\(331\) 10.7544 + 3.31730i 0.591117 + 0.182336i 0.575860 0.817548i \(-0.304667\pi\)
0.0152570 + 0.999884i \(0.495143\pi\)
\(332\) 5.25810 13.3974i 0.288576 0.735279i
\(333\) 0.0344663 + 0.459920i 0.00188874 + 0.0252035i
\(334\) 9.29806 + 23.6911i 0.508767 + 1.29632i
\(335\) 0.484245 0.233200i 0.0264571 0.0127411i
\(336\) −5.65768 8.33713i −0.308652 0.454828i
\(337\) −9.10544 4.38495i −0.496005 0.238863i 0.169120 0.985595i \(-0.445907\pi\)
−0.665125 + 0.746732i \(0.731622\pi\)
\(338\) 0.178033 2.37569i 0.00968373 0.129220i
\(339\) 24.9075 7.68294i 1.35279 0.417280i
\(340\) −3.60863 2.46032i −0.195705 0.133430i
\(341\) 20.3571 3.06834i 1.10240 0.166160i
\(342\) 1.13595 0.0614250
\(343\) −18.0824 + 4.00344i −0.976357 + 0.216166i
\(344\) −42.0307 −2.26614
\(345\) 3.08667 0.465240i 0.166180 0.0250477i
\(346\) 28.1298 + 19.1786i 1.51227 + 1.03105i
\(347\) −13.8333 + 4.26700i −0.742609 + 0.229064i −0.642898 0.765952i \(-0.722268\pi\)
−0.0997110 + 0.995016i \(0.531792\pi\)
\(348\) −1.18896 + 15.8656i −0.0637349 + 0.850483i
\(349\) 16.2271 + 7.81454i 0.868614 + 0.418303i 0.814453 0.580230i \(-0.197037\pi\)
0.0541613 + 0.998532i \(0.482751\pi\)
\(350\) −17.5168 25.8127i −0.936315 1.37975i
\(351\) 4.59028 2.21056i 0.245011 0.117991i
\(352\) 4.12858 + 10.5194i 0.220054 + 0.560689i
\(353\) −1.79599 23.9659i −0.0955910 1.27557i −0.814375 0.580340i \(-0.802920\pi\)
0.718783 0.695234i \(-0.244699\pi\)
\(354\) −16.9071 + 43.0787i −0.898605 + 2.28961i
\(355\) −0.545216 0.168177i −0.0289370 0.00892589i
\(356\) 7.76643 + 9.73880i 0.411620 + 0.516155i
\(357\) −16.6922 18.0684i −0.883444 0.956282i
\(358\) 20.5989 25.8302i 1.08868 1.36517i
\(359\) 27.1880 18.5365i 1.43493 0.978319i 0.438086 0.898933i \(-0.355656\pi\)
0.996844 0.0793860i \(-0.0252960\pi\)
\(360\) −0.0737903 + 0.0684674i −0.00388909 + 0.00360855i
\(361\) 0.413340 + 0.715926i 0.0217547 + 0.0376803i
\(362\) −20.6951 + 35.8449i −1.08771 + 1.88397i
\(363\) 1.89417 + 8.29891i 0.0994182 + 0.435580i
\(364\) 0.0211157 9.72468i 0.00110676 0.509712i
\(365\) 0.399850 1.75186i 0.0209291 0.0916963i
\(366\) −44.8199 41.5867i −2.34277 2.17377i
\(367\) 28.0434 + 4.22686i 1.46385 + 0.220640i 0.832141 0.554564i \(-0.187115\pi\)
0.631711 + 0.775204i \(0.282353\pi\)
\(368\) −16.7547 2.52536i −0.873399 0.131644i
\(369\) −0.933111 0.865800i −0.0485758 0.0450718i
\(370\) −0.492827 + 2.15922i −0.0256209 + 0.112252i
\(371\) −16.0707 12.8731i −0.834348 0.668339i
\(372\) 7.46662 + 32.7134i 0.387126 + 1.69611i
\(373\) 10.6033 18.3654i 0.549016 0.950924i −0.449326 0.893368i \(-0.648336\pi\)
0.998342 0.0575561i \(-0.0183308\pi\)
\(374\) −24.9751 43.2582i −1.29143 2.23683i
\(375\) −2.90059 + 2.69135i −0.149786 + 0.138981i
\(376\) 29.3762 20.0284i 1.51496 1.03288i
\(377\) −1.52990 + 1.91844i −0.0787941 + 0.0988046i
\(378\) 27.8457 15.9962i 1.43223 0.822755i
\(379\) −10.4063 13.0491i −0.534538 0.670289i 0.439087 0.898445i \(-0.355302\pi\)
−0.973625 + 0.228156i \(0.926731\pi\)
\(380\) 3.37570 + 1.04126i 0.173170 + 0.0534157i
\(381\) −7.75976 + 19.7715i −0.397544 + 1.01293i
\(382\) −3.56556 47.5791i −0.182430 2.43436i
\(383\) −2.19049 5.58128i −0.111929 0.285190i 0.863923 0.503624i \(-0.168000\pi\)
−0.975852 + 0.218434i \(0.929905\pi\)
\(384\) −32.9428 + 15.8644i −1.68110 + 0.809577i
\(385\) 0.348569 + 2.34718i 0.0177647 + 0.119623i
\(386\) 15.2451 + 7.34167i 0.775957 + 0.373681i
\(387\) −0.0880082 + 1.17439i −0.00447371 + 0.0596975i
\(388\) −18.0213 + 5.55884i −0.914894 + 0.282207i
\(389\) 1.78524 + 1.21715i 0.0905151 + 0.0617122i 0.607732 0.794142i \(-0.292080\pi\)
−0.517217 + 0.855854i \(0.673032\pi\)
\(390\) −0.936897 + 0.141215i −0.0474416 + 0.00715068i
\(391\) −41.3673 −2.09203
\(392\) −1.96715 27.8736i −0.0993561 1.40783i
\(393\) 2.65170 0.133761
\(394\) 6.17925 0.931373i 0.311306 0.0469219i
\(395\) 3.26616 + 2.22683i 0.164339 + 0.112044i
\(396\) −1.56280 + 0.482061i −0.0785339 + 0.0242245i
\(397\) 1.78737 23.8508i 0.0897055 1.19704i −0.752763 0.658291i \(-0.771279\pi\)
0.842469 0.538745i \(-0.181102\pi\)
\(398\) 45.5163 + 21.9195i 2.28153 + 1.09873i
\(399\) 17.2092 + 9.98561i 0.861537 + 0.499906i
\(400\) 9.62617 4.63572i 0.481309 0.231786i
\(401\) 5.08334 + 12.9521i 0.253850 + 0.646799i 0.999816 0.0191847i \(-0.00610706\pi\)
−0.745966 + 0.665984i \(0.768012\pi\)
\(402\) 0.748705 + 9.99077i 0.0373420 + 0.498294i
\(403\) −1.89067 + 4.81734i −0.0941808 + 0.239969i
\(404\) 19.1377 + 5.90320i 0.952137 + 0.293695i
\(405\) −1.31052 1.64333i −0.0651200 0.0816579i
\(406\) −8.74026 + 12.7600i −0.433772 + 0.633268i
\(407\) −10.2275 + 12.8249i −0.506960 + 0.635708i
\(408\) 30.6650 20.9070i 1.51814 1.03505i
\(409\) −0.417284 + 0.387183i −0.0206333 + 0.0191449i −0.690422 0.723407i \(-0.742575\pi\)
0.669789 + 0.742552i \(0.266385\pi\)
\(410\) −3.05628 5.29364i −0.150939 0.261434i
\(411\) 6.46421 11.1963i 0.318856 0.552275i
\(412\) 2.72880 + 11.9556i 0.134438 + 0.589013i
\(413\) −22.8176 + 18.1155i −1.12278 + 0.891405i
\(414\) −0.465388 + 2.03900i −0.0228726 + 0.100211i
\(415\) −0.647132 0.600451i −0.0317665 0.0294750i
\(416\) −2.80896 0.423383i −0.137721 0.0207581i
\(417\) −16.3935 2.47092i −0.802792 0.121001i
\(418\) 29.6166 + 27.4802i 1.44860 + 1.34410i
\(419\) 3.24401 14.2129i 0.158480 0.694347i −0.831779 0.555108i \(-0.812677\pi\)
0.990259 0.139239i \(-0.0444658\pi\)
\(420\) −3.77248 + 0.852431i −0.184078 + 0.0415944i
\(421\) −2.37183 10.3917i −0.115596 0.506458i −0.999265 0.0383455i \(-0.987791\pi\)
0.883669 0.468113i \(-0.155066\pi\)
\(422\) 10.7445 18.6100i 0.523035 0.905923i
\(423\) −0.498106 0.862744i −0.0242187 0.0419481i
\(424\) 22.7737 21.1309i 1.10599 1.02621i
\(425\) 21.5522 14.6941i 1.04544 0.712766i
\(426\) 6.63122 8.31529i 0.321284 0.402877i
\(427\) −11.2658 36.8064i −0.545191 1.78119i
\(428\) 26.6505 + 33.4186i 1.28820 + 1.61535i
\(429\) −6.70581 2.06847i −0.323760 0.0998666i
\(430\) −2.06610 + 5.26434i −0.0996362 + 0.253869i
\(431\) 0.00185743 + 0.0247857i 8.94695e−5 + 0.00119389i 0.997248 0.0741331i \(-0.0236190\pi\)
−0.997159 + 0.0753270i \(0.976000\pi\)
\(432\) 4.01827 + 10.2384i 0.193329 + 0.492594i
\(433\) 21.6488 10.4255i 1.04038 0.501019i 0.165928 0.986138i \(-0.446938\pi\)
0.874448 + 0.485119i \(0.161224\pi\)
\(434\) −9.68229 + 31.1489i −0.464765 + 1.49520i
\(435\) 0.879243 + 0.423421i 0.0421565 + 0.0203015i
\(436\) −4.06259 + 54.2115i −0.194563 + 2.59626i
\(437\) 31.9730 9.86238i 1.52948 0.471782i
\(438\) 27.6752 + 18.8687i 1.32237 + 0.901579i
\(439\) −5.44898 + 0.821302i −0.260066 + 0.0391986i −0.277781 0.960644i \(-0.589599\pi\)
0.0177151 + 0.999843i \(0.494361\pi\)
\(440\) −3.58020 −0.170679
\(441\) −0.782942 0.00340010i −0.0372829 0.000161909i
\(442\) 12.5562 0.597239
\(443\) 19.2313 2.89865i 0.913705 0.137719i 0.324671 0.945827i \(-0.394747\pi\)
0.589034 + 0.808108i \(0.299508\pi\)
\(444\) −22.0905 15.0610i −1.04837 0.714766i
\(445\) 0.730103 0.225207i 0.0346102 0.0106758i
\(446\) 0.890947 11.8889i 0.0421876 0.562954i
\(447\) −25.6572 12.3559i −1.21354 0.584412i
\(448\) −29.2416 2.25522i −1.38154 0.106549i
\(449\) −3.42848 + 1.65107i −0.161800 + 0.0779187i −0.513031 0.858370i \(-0.671477\pi\)
0.351231 + 0.936289i \(0.385763\pi\)
\(450\) −0.481806 1.22762i −0.0227125 0.0578706i
\(451\) −3.38327 45.1466i −0.159312 2.12587i
\(452\) −19.8419 + 50.5563i −0.933283 + 2.37797i
\(453\) −0.895447 0.276209i −0.0420718 0.0129774i
\(454\) −1.69255 2.12239i −0.0794353 0.0996087i
\(455\) −0.554784 0.219128i −0.0260087 0.0102729i
\(456\) −18.7167 + 23.4700i −0.876491 + 1.09908i
\(457\) −11.2209 + 7.65027i −0.524891 + 0.357865i −0.796592 0.604517i \(-0.793366\pi\)
0.271701 + 0.962382i \(0.412414\pi\)
\(458\) 26.6866 24.7615i 1.24698 1.15703i
\(459\) 13.4262 + 23.2549i 0.626681 + 1.08544i
\(460\) −3.25204 + 5.63269i −0.151627 + 0.262626i
\(461\) 2.38556 + 10.4518i 0.111106 + 0.486789i 0.999610 + 0.0279198i \(0.00888829\pi\)
−0.888504 + 0.458869i \(0.848255\pi\)
\(462\) −43.1021 9.93629i −2.00529 0.462278i
\(463\) −2.39826 + 10.5075i −0.111457 + 0.488323i 0.888131 + 0.459591i \(0.152004\pi\)
−0.999587 + 0.0287321i \(0.990853\pi\)
\(464\) −3.88312 3.60301i −0.180269 0.167265i
\(465\) 2.03518 + 0.306754i 0.0943792 + 0.0142254i
\(466\) 27.0194 + 4.07252i 1.25165 + 0.188656i
\(467\) 7.71107 + 7.15482i 0.356826 + 0.331086i 0.838133 0.545466i \(-0.183647\pi\)
−0.481307 + 0.876552i \(0.659838\pi\)
\(468\) 0.0914816 0.400807i 0.00422874 0.0185273i
\(469\) −2.74900 + 5.67680i −0.126937 + 0.262130i
\(470\) −1.06450 4.66390i −0.0491019 0.215130i
\(471\) −7.74407 + 13.4131i −0.356828 + 0.618044i
\(472\) −21.9786 38.0681i −1.01165 1.75223i
\(473\) −30.7047 + 28.4898i −1.41181 + 1.30996i
\(474\) −60.8832 + 41.5095i −2.79646 + 1.90659i
\(475\) −13.1546 + 16.4954i −0.603576 + 0.756861i
\(476\) 51.1192 3.71925i 2.34304 0.170472i
\(477\) −0.542738 0.680572i −0.0248503 0.0311613i
\(478\) −22.4393 6.92161i −1.02635 0.316587i
\(479\) −4.71564 + 12.0152i −0.215463 + 0.548991i −0.997213 0.0746006i \(-0.976232\pi\)
0.781751 + 0.623591i \(0.214327\pi\)
\(480\) 0.0844275 + 1.12661i 0.00385357 + 0.0514223i
\(481\) −1.50647 3.83843i −0.0686893 0.175018i
\(482\) 49.9518 24.0555i 2.27524 1.09570i
\(483\) −24.9744 + 26.7990i −1.13637 + 1.21940i
\(484\) −15.9800 7.69555i −0.726363 0.349798i
\(485\) −0.0864462 + 1.15354i −0.00392532 + 0.0523798i
\(486\) 2.64480 0.815813i 0.119971 0.0370060i
\(487\) 16.1301 + 10.9973i 0.730925 + 0.498337i 0.870680 0.491850i \(-0.163679\pi\)
−0.139755 + 0.990186i \(0.544631\pi\)
\(488\) 57.4271 8.65574i 2.59960 0.391827i
\(489\) 22.5533 1.01990
\(490\) −3.58787 1.12380i −0.162083 0.0507680i
\(491\) 39.4607 1.78084 0.890418 0.455144i \(-0.150412\pi\)
0.890418 + 0.455144i \(0.150412\pi\)
\(492\) 72.9662 10.9979i 3.28957 0.495823i
\(493\) −10.6855 7.28524i −0.481250 0.328111i
\(494\) −9.70480 + 2.99353i −0.436640 + 0.134685i
\(495\) −0.00749660 + 0.100035i −0.000336947 + 0.00449625i
\(496\) −10.0656 4.84731i −0.451957 0.217651i
\(497\) 6.23818 2.43269i 0.279821 0.109121i
\(498\) 14.8261 7.13989i 0.664375 0.319946i
\(499\) −8.82431 22.4840i −0.395030 1.00652i −0.980621 0.195914i \(-0.937233\pi\)
0.585591 0.810607i \(-0.300863\pi\)
\(500\) −0.616119 8.22154i −0.0275537 0.367679i
\(501\) −6.88487 + 17.5424i −0.307594 + 0.783736i
\(502\) −15.0639 4.64659i −0.672334 0.207387i
\(503\) 21.4473 + 26.8941i 0.956289 + 1.19915i 0.979913 + 0.199427i \(0.0639082\pi\)
−0.0236238 + 0.999721i \(0.507520\pi\)
\(504\) 0.178599 1.16772i 0.00795542 0.0520142i
\(505\) 0.765920 0.960434i 0.0340830 0.0427387i
\(506\) −61.4600 + 41.9027i −2.73223 + 1.86280i
\(507\) 1.29314 1.19985i 0.0574302 0.0532874i
\(508\) −22.1278 38.3264i −0.981761 1.70046i
\(509\) −5.87964 + 10.1838i −0.260610 + 0.451390i −0.966404 0.257027i \(-0.917257\pi\)
0.705794 + 0.708417i \(0.250590\pi\)
\(510\) −1.11121 4.86852i −0.0492051 0.215581i
\(511\) 9.10814 + 19.0188i 0.402920 + 0.841341i
\(512\) 5.19979 22.7818i 0.229800 1.00682i
\(513\) −15.9214 14.7729i −0.702946 0.652239i
\(514\) 15.7034 + 2.36690i 0.692647 + 0.104400i
\(515\) 0.743790 + 0.112108i 0.0327753 + 0.00494008i
\(516\) −50.0454 46.4353i −2.20312 2.04420i
\(517\) 7.88434 34.5435i 0.346753 1.51922i
\(518\) −11.2261 23.4412i −0.493245 1.02995i
\(519\) 5.60965 + 24.5775i 0.246236 + 1.07883i
\(520\) 0.449986 0.779399i 0.0197332 0.0341789i
\(521\) −2.49620 4.32355i −0.109361 0.189418i 0.806151 0.591710i \(-0.201547\pi\)
−0.915511 + 0.402292i \(0.868214\pi\)
\(522\) −0.479303 + 0.444729i −0.0209785 + 0.0194652i
\(523\) −1.55609 + 1.06092i −0.0680430 + 0.0463909i −0.596864 0.802343i \(-0.703587\pi\)
0.528821 + 0.848733i \(0.322634\pi\)
\(524\) −3.44486 + 4.31972i −0.150490 + 0.188708i
\(525\) 3.49230 22.8333i 0.152416 0.996529i
\(526\) 9.19580 + 11.5312i 0.400956 + 0.502783i
\(527\) −26.0636 8.03955i −1.13535 0.350208i
\(528\) 5.53474 14.1023i 0.240869 0.613723i
\(529\) 2.88485 + 38.4957i 0.125428 + 1.67372i
\(530\) −1.52716 3.89114i −0.0663356 0.169020i
\(531\) −1.10969 + 0.534399i −0.0481565 + 0.0231909i
\(532\) −38.6236 + 15.0620i −1.67455 + 0.653019i
\(533\) 10.2535 + 4.93783i 0.444129 + 0.213881i
\(534\) −1.06433 + 14.2025i −0.0460580 + 0.614601i
\(535\) 2.50534 0.772796i 0.108315 0.0334109i
\(536\) −7.86284 5.36080i −0.339623 0.231551i
\(537\) 24.1902 3.64609i 1.04388 0.157340i
\(538\) −19.5754 −0.843954
\(539\) −20.3307 19.0291i −0.875707 0.819643i
\(540\) 4.22194 0.181683
\(541\) 8.14841 1.22818i 0.350328 0.0528034i 0.0284786 0.999594i \(-0.490934\pi\)
0.321849 + 0.946791i \(0.395696\pi\)
\(542\) 55.0097 + 37.5050i 2.36287 + 1.61098i
\(543\) −29.2863 + 9.03362i −1.25679 + 0.387670i
\(544\) 1.11885 14.9301i 0.0479705 0.640122i
\(545\) 3.00431 + 1.44680i 0.128691 + 0.0619741i
\(546\) 7.58049 8.13433i 0.324415 0.348117i
\(547\) 2.95651 1.42378i 0.126411 0.0608765i −0.369609 0.929187i \(-0.620508\pi\)
0.496020 + 0.868311i \(0.334794\pi\)
\(548\) 9.84152 + 25.0758i 0.420409 + 1.07118i
\(549\) −0.121605 1.62271i −0.00518998 0.0692555i
\(550\) 17.1362 43.6623i 0.730690 1.86177i
\(551\) 9.99576 + 3.08328i 0.425834 + 0.131352i
\(552\) −34.4600 43.2115i −1.46672 1.83920i
\(553\) −46.2679 + 3.36629i −1.96751 + 0.143149i
\(554\) −34.0784 + 42.7330i −1.44785 + 1.81555i
\(555\) −1.35498 + 0.923811i −0.0575158 + 0.0392136i
\(556\) 25.3222 23.4956i 1.07390 0.996435i
\(557\) 4.94066 + 8.55748i 0.209343 + 0.362592i 0.951508 0.307625i \(-0.0995343\pi\)
−0.742165 + 0.670217i \(0.766201\pi\)
\(558\) −0.689489 + 1.19423i −0.0291884 + 0.0505558i
\(559\) −2.34295 10.2651i −0.0990963 0.434169i
\(560\) 0.561231 1.15896i 0.0237163 0.0489752i
\(561\) 8.23024 36.0590i 0.347481 1.52241i
\(562\) 29.0433 + 26.9483i 1.22512 + 1.13674i
\(563\) −32.3206 4.87155i −1.36215 0.205311i −0.573023 0.819539i \(-0.694230\pi\)
−0.789129 + 0.614228i \(0.789468\pi\)
\(564\) 57.1051 + 8.60720i 2.40456 + 0.362429i
\(565\) 2.44201 + 2.26585i 0.102736 + 0.0953251i
\(566\) 10.5522 46.2323i 0.443543 1.94329i
\(567\) 24.0360 + 5.54100i 1.00942 + 0.232700i
\(568\) 2.24799 + 9.84908i 0.0943235 + 0.413258i
\(569\) −8.58860 + 14.8759i −0.360053 + 0.623630i −0.987969 0.154651i \(-0.950575\pi\)
0.627916 + 0.778281i \(0.283908\pi\)
\(570\) 2.01956 + 3.49798i 0.0845901 + 0.146514i
\(571\) 31.2998 29.0420i 1.30986 1.21537i 0.349387 0.936979i \(-0.386390\pi\)
0.960468 0.278390i \(-0.0898006\pi\)
\(572\) 12.0812 8.23684i 0.505142 0.344400i
\(573\) 22.0275 27.6216i 0.920212 1.15391i
\(574\) 66.7171 + 26.3519i 2.78472 + 1.09991i
\(575\) −24.2195 30.3703i −1.01002 1.26653i
\(576\) −1.18478 0.365457i −0.0493660 0.0152274i
\(577\) 6.64132 16.9218i 0.276482 0.704464i −0.723419 0.690409i \(-0.757431\pi\)
0.999901 0.0140555i \(-0.00447415\pi\)
\(578\) 1.91892 + 25.6062i 0.0798166 + 1.06508i
\(579\) 4.57745 + 11.6631i 0.190232 + 0.484704i
\(580\) −1.83201 + 0.882248i −0.0760699 + 0.0366334i
\(581\) 10.3291 + 0.796621i 0.428525 + 0.0330494i
\(582\) −19.4276 9.35586i −0.805302 0.387813i
\(583\) 2.31366 30.8736i 0.0958220 1.27866i
\(584\) −30.4024 + 9.37791i −1.25806 + 0.388061i
\(585\) −0.0208351 0.0142051i −0.000861426 0.000587311i
\(586\) −1.65150 + 0.248923i −0.0682228 + 0.0102829i
\(587\) −8.33594 −0.344061 −0.172031 0.985092i \(-0.555033\pi\)
−0.172031 + 0.985092i \(0.555033\pi\)
\(588\) 28.4524 35.3620i 1.17336 1.45831i
\(589\) 22.0614 0.909025
\(590\) −5.84843 + 0.881510i −0.240776 + 0.0362912i
\(591\) 3.82317 + 2.60659i 0.157264 + 0.107221i
\(592\) 8.50625 2.62383i 0.349605 0.107839i
\(593\) 0.985911 13.1561i 0.0404865 0.540255i −0.939677 0.342064i \(-0.888874\pi\)
0.980163 0.198191i \(-0.0635068\pi\)
\(594\) 43.5033 + 20.9501i 1.78496 + 0.859593i
\(595\) 0.933179 3.00213i 0.0382566 0.123075i
\(596\) 53.4598 25.7449i 2.18980 1.05455i
\(597\) 13.6666 + 34.8219i 0.559336 + 1.42516i
\(598\) −1.39735 18.6463i −0.0571418 0.762504i
\(599\) −6.78869 + 17.2973i −0.277378 + 0.706749i 0.722503 + 0.691368i \(0.242991\pi\)
−0.999882 + 0.0153812i \(0.995104\pi\)
\(600\) 33.3027 + 10.2725i 1.35958 + 0.419374i
\(601\) −10.3293 12.9525i −0.421339 0.528343i 0.525179 0.850992i \(-0.323998\pi\)
−0.946519 + 0.322649i \(0.895427\pi\)
\(602\) −19.4240 63.4601i −0.791665 2.58644i
\(603\) −0.166251 + 0.208472i −0.00677027 + 0.00848965i
\(604\) 1.61324 1.09989i 0.0656419 0.0447539i
\(605\) −0.797497 + 0.739969i −0.0324228 + 0.0300840i
\(606\) 11.4494 + 19.8310i 0.465101 + 0.805579i
\(607\) 3.23629 5.60542i 0.131357 0.227517i −0.792843 0.609426i \(-0.791400\pi\)
0.924200 + 0.381909i \(0.124733\pi\)
\(608\) 2.69471 + 11.8063i 0.109285 + 0.478809i
\(609\) −11.1707 + 2.52413i −0.452659 + 0.102283i
\(610\) 1.73881 7.61823i 0.0704024 0.308453i
\(611\) 6.52906 + 6.05808i 0.264138 + 0.245084i
\(612\) 2.14259 + 0.322943i 0.0866090 + 0.0130542i
\(613\) −43.1977 6.51100i −1.74474 0.262977i −0.802195 0.597062i \(-0.796335\pi\)
−0.942543 + 0.334085i \(0.891573\pi\)
\(614\) −2.98309 2.76790i −0.120388 0.111703i
\(615\) 1.00716 4.41265i 0.0406126 0.177935i
\(616\) 32.9052 26.1243i 1.32579 1.05258i
\(617\) 6.03918 + 26.4594i 0.243128 + 1.06521i 0.938151 + 0.346226i \(0.112537\pi\)
−0.695023 + 0.718988i \(0.744606\pi\)
\(618\) −7.01065 + 12.1428i −0.282010 + 0.488455i
\(619\) −13.5603 23.4872i −0.545035 0.944029i −0.998605 0.0528079i \(-0.983183\pi\)
0.453569 0.891221i \(-0.350150\pi\)
\(620\) −3.14365 + 2.91688i −0.126252 + 0.117145i
\(621\) 33.0398 22.5262i 1.32584 0.903944i
\(622\) 2.48340 3.11409i 0.0995754 0.124864i
\(623\) −5.06698 + 7.39733i −0.203004 + 0.296368i
\(624\) 2.37438 + 2.97738i 0.0950512 + 0.119190i
\(625\) 23.1632 + 7.14491i 0.926529 + 0.285796i
\(626\) 3.97852 10.1371i 0.159014 0.405160i
\(627\) 2.23563 + 29.8324i 0.0892825 + 1.19139i
\(628\) −11.7900 30.0405i −0.470474 1.19875i
\(629\) 19.5806 9.42954i 0.780732 0.375980i
\(630\) −0.137477 0.0797709i −0.00547721 0.00317815i
\(631\) 4.53250 + 2.18274i 0.180436 + 0.0868933i 0.521921 0.852994i \(-0.325216\pi\)
−0.341485 + 0.939887i \(0.610930\pi\)
\(632\) 5.23054 69.7967i 0.208060 2.77637i
\(633\) 15.2049 4.69010i 0.604341 0.186415i
\(634\) −60.7599 41.4254i −2.41308 1.64521i
\(635\) −2.68422 + 0.404580i −0.106520 + 0.0160553i
\(636\) 50.4617 2.00094
\(637\) 6.69791 2.03422i 0.265381 0.0805987i
\(638\) −23.2551 −0.920679
\(639\) 0.279902 0.0421885i 0.0110728 0.00166895i
\(640\) −3.86102 2.63240i −0.152620 0.104055i
\(641\) 43.8011 13.5108i 1.73004 0.533646i 0.739775 0.672854i \(-0.234932\pi\)
0.990263 + 0.139208i \(0.0444556\pi\)
\(642\) −3.65224 + 48.7357i −0.144142 + 1.92344i
\(643\) 21.8457 + 10.5204i 0.861512 + 0.414882i 0.811838 0.583883i \(-0.198467\pi\)
0.0496741 + 0.998765i \(0.484182\pi\)
\(644\) −11.2121 75.4992i −0.441818 2.97509i
\(645\) −3.77282 + 1.81690i −0.148555 + 0.0715402i
\(646\) −19.5558 49.8273i −0.769412 1.96043i
\(647\) −0.773496 10.3216i −0.0304093 0.405783i −0.991550 0.129725i \(-0.958591\pi\)
0.961141 0.276059i \(-0.0890284\pi\)
\(648\) −13.5966 + 34.6435i −0.534124 + 1.36093i
\(649\) −41.8600 12.9121i −1.64315 0.506844i
\(650\) 7.35136 + 9.21831i 0.288344 + 0.361572i
\(651\) −20.9435 + 12.0312i −0.820839 + 0.471538i
\(652\) −29.2994 + 36.7403i −1.14745 + 1.43886i
\(653\) −30.8485 + 21.0322i −1.20720 + 0.823052i −0.988274 0.152690i \(-0.951206\pi\)
−0.218922 + 0.975742i \(0.570254\pi\)
\(654\) −45.5648 + 42.2780i −1.78172 + 1.65320i
\(655\) 0.169450 + 0.293495i 0.00662094 + 0.0114678i
\(656\) −12.2841 + 21.2767i −0.479615 + 0.830717i
\(657\) 0.198370 + 0.869118i 0.00773917 + 0.0339075i
\(658\) 43.8157 + 35.0978i 1.70812 + 1.36825i
\(659\) −0.416794 + 1.82610i −0.0162360 + 0.0711346i −0.982397 0.186806i \(-0.940187\pi\)
0.966161 + 0.257940i \(0.0830437\pi\)
\(660\) −4.26290 3.95539i −0.165933 0.153963i
\(661\) −27.7113 4.17681i −1.07785 0.162459i −0.413962 0.910294i \(-0.635855\pi\)
−0.663885 + 0.747835i \(0.731093\pi\)
\(662\) −26.5126 3.99612i −1.03044 0.155314i
\(663\) 6.81550 + 6.32386i 0.264692 + 0.245599i
\(664\) −3.47815 + 15.2388i −0.134978 + 0.591379i
\(665\) −0.00552141 + 2.54285i −0.000214111 + 0.0986074i
\(666\) −0.244498 1.07122i −0.00947410 0.0415088i
\(667\) −9.62959 + 16.6789i −0.372859 + 0.645811i
\(668\) −19.6330 34.0053i −0.759622 1.31570i
\(669\) 6.47135 6.00453i 0.250197 0.232149i
\(670\) −1.05795 + 0.721300i −0.0408723 + 0.0278663i
\(671\) 36.0851 45.2493i 1.39305 1.74683i
\(672\) −8.99670 9.73846i −0.347055 0.375669i
\(673\) −6.62773 8.31091i −0.255480 0.320362i 0.637507 0.770445i \(-0.279966\pi\)
−0.892987 + 0.450083i \(0.851394\pi\)
\(674\) 23.0070 + 7.09673i 0.886198 + 0.273356i
\(675\) −9.21213 + 23.4721i −0.354575 + 0.903442i
\(676\) 0.274677 + 3.66531i 0.0105645 + 0.140974i
\(677\) −4.42114 11.2649i −0.169918 0.432945i 0.820395 0.571798i \(-0.193754\pi\)
−0.990313 + 0.138853i \(0.955659\pi\)
\(678\) −55.9476 + 26.9430i −2.14866 + 1.03474i
\(679\) −7.62278 11.2329i −0.292535 0.431079i
\(680\) 4.27359 + 2.05805i 0.163885 + 0.0789227i
\(681\) 0.150214 2.00447i 0.00575622 0.0768114i
\(682\) −46.8667 + 14.4565i −1.79462 + 0.553566i
\(683\) −16.6323 11.3397i −0.636417 0.433902i 0.201659 0.979456i \(-0.435367\pi\)
−0.838076 + 0.545554i \(0.816319\pi\)
\(684\) −1.73301 + 0.261210i −0.0662634 + 0.00998760i
\(685\) 1.65231 0.0631315
\(686\) 41.1759 15.8516i 1.57210 0.605217i
\(687\) 26.9564 1.02845
\(688\) 22.4763 3.38776i 0.856903 0.129157i
\(689\) 6.43030 + 4.38410i 0.244975 + 0.167021i
\(690\) −7.10619 + 2.19197i −0.270528 + 0.0834469i
\(691\) 0.532483 7.10549i 0.0202566 0.270305i −0.977874 0.209193i \(-0.932916\pi\)
0.998131 0.0611122i \(-0.0194647\pi\)
\(692\) −47.3252 22.7906i −1.79904 0.866370i
\(693\) −0.661046 0.974114i −0.0251110 0.0370035i
\(694\) 31.0725 14.9637i 1.17950 0.568016i
\(695\) −0.774094 1.97236i −0.0293630 0.0748158i
\(696\) −1.29126 17.2307i −0.0489451 0.653127i
\(697\) −21.9137 + 55.8352i −0.830040 + 2.11491i
\(698\) −41.0015 12.6473i −1.55193 0.478706i
\(699\) 12.6150 + 15.8187i 0.477143 + 0.598318i
\(700\) 32.6595 + 35.3522i 1.23441 + 1.33619i
\(701\) 12.3510 15.4876i 0.466490 0.584960i −0.491818 0.870698i \(-0.663667\pi\)
0.958308 + 0.285738i \(0.0922388\pi\)
\(702\) −10.0286 + 6.83738i −0.378505 + 0.258060i
\(703\) −12.8859 + 11.9564i −0.486001 + 0.450943i
\(704\) −22.0490 38.1899i −0.831002 1.43934i
\(705\) 1.77113 3.06769i 0.0667046 0.115536i
\(706\) 12.7405 + 55.8196i 0.479494 + 2.10080i
\(707\) −0.0313024 + 14.4161i −0.00117725 + 0.542172i
\(708\) 15.8878 69.6091i 0.597101 2.61607i
\(709\) 25.7828 + 23.9229i 0.968294 + 0.898445i 0.994866 0.101202i \(-0.0322687\pi\)
−0.0265723 + 0.999647i \(0.508459\pi\)
\(710\) 1.34410 + 0.202591i 0.0504432 + 0.00760309i
\(711\) −1.93925 0.292296i −0.0727277 0.0109619i
\(712\) −9.91685 9.20149i −0.371650 0.344840i
\(713\) −9.03838 + 39.5997i −0.338490 + 1.48302i
\(714\) 45.7380 + 36.6376i 1.71170 + 1.37113i
\(715\) −0.199574 0.874391i −0.00746365 0.0327004i
\(716\) −25.4862 + 44.1435i −0.952465 + 1.64972i
\(717\) −8.69399 15.0584i −0.324683 0.562368i
\(718\) −57.4662 + 53.3209i −2.14462 + 1.98992i
\(719\) −12.7610 + 8.70031i −0.475905 + 0.324467i −0.777406 0.628999i \(-0.783465\pi\)
0.301501 + 0.953466i \(0.402512\pi\)
\(720\) 0.0339415 0.0425613i 0.00126493 0.00158617i
\(721\) −7.65413 + 4.39698i −0.285055 + 0.163752i
\(722\) −1.22793 1.53977i −0.0456987 0.0573044i
\(723\) 39.2292 + 12.1006i 1.45895 + 0.450026i
\(724\) 23.3301 59.4442i 0.867057 2.20923i
\(725\) −0.907534 12.1102i −0.0337050 0.449761i
\(726\) −7.40888 18.8775i −0.274969 0.700610i
\(727\) −38.0131 + 18.3061i −1.40983 + 0.678937i −0.975129 0.221638i \(-0.928860\pi\)
−0.434699 + 0.900576i \(0.643145\pi\)
\(728\) 1.55142 + 10.4469i 0.0574995 + 0.387187i
\(729\) −23.3528 11.2461i −0.864920 0.416523i
\(730\) −0.319909 + 4.26889i −0.0118404 + 0.157999i
\(731\) 53.0286 16.3572i 1.96133 0.604991i
\(732\) 77.9405 + 53.1389i 2.88076 + 1.96407i
\(733\) −10.7709 + 1.62346i −0.397833 + 0.0599637i −0.344912 0.938635i \(-0.612091\pi\)
−0.0529212 + 0.998599i \(0.516853\pi\)
\(734\) −67.5637 −2.49382
\(735\) −1.38150 2.41700i −0.0509572 0.0891524i
\(736\) −22.2960 −0.821842
\(737\) −9.37778 + 1.41347i −0.345435 + 0.0520660i
\(738\) 2.50559 + 1.70828i 0.0922319 + 0.0628827i
\(739\) −47.0476 + 14.5123i −1.73067 + 0.533842i −0.990372 0.138432i \(-0.955794\pi\)
−0.740302 + 0.672274i \(0.765318\pi\)
\(740\) 0.255353 3.40745i 0.00938697 0.125260i
\(741\) −6.77542 3.26287i −0.248901 0.119865i
\(742\) 42.4292 + 24.6195i 1.55763 + 0.903811i
\(743\) 7.64542 3.68184i 0.280483 0.135074i −0.288354 0.957524i \(-0.593108\pi\)
0.568837 + 0.822450i \(0.307394\pi\)
\(744\) −13.3137 33.9227i −0.488103 1.24367i
\(745\) −0.271982 3.62935i −0.00996466 0.132969i
\(746\) −18.4575 + 47.0290i −0.675778 + 1.72185i
\(747\) 0.418507 + 0.129092i 0.0153124 + 0.00472324i
\(748\) 48.0495 + 60.2522i 1.75686 + 2.20304i
\(749\) −17.3873 + 25.3839i −0.635319 + 0.927508i
\(750\) 5.87741 7.37004i 0.214613 0.269116i
\(751\) 29.9242 20.4020i 1.09195 0.744479i 0.123166 0.992386i \(-0.460695\pi\)
0.968784 + 0.247907i \(0.0797428\pi\)
\(752\) −14.0949 + 13.0782i −0.513988 + 0.476911i
\(753\) −5.83642 10.1090i −0.212691 0.368392i
\(754\) 2.92288 5.06257i 0.106445 0.184368i
\(755\) −0.0266497 0.116760i −0.000969883 0.00424933i
\(756\) −38.8033 + 30.8070i −1.41126 + 1.12044i
\(757\) −0.367914 + 1.61194i −0.0133721 + 0.0585868i −0.981174 0.193127i \(-0.938137\pi\)
0.967802 + 0.251714i \(0.0809942\pi\)
\(758\) 29.1480 + 27.0454i 1.05870 + 0.982333i
\(759\) −54.4644 8.20919i −1.97693 0.297975i
\(760\) −3.79375 0.571815i −0.137614 0.0207419i
\(761\) 1.93533 + 1.79572i 0.0701555 + 0.0650948i 0.714471 0.699665i \(-0.246667\pi\)
−0.644316 + 0.764760i \(0.722858\pi\)
\(762\) 11.2597 49.3319i 0.407895 1.78711i
\(763\) −38.1694 + 8.62477i −1.38183 + 0.312238i
\(764\) 16.3804 + 71.7672i 0.592622 + 2.59645i
\(765\) 0.0664530 0.115100i 0.00240261 0.00416145i
\(766\) 7.14198 + 12.3703i 0.258050 + 0.446956i
\(767\) 8.07219 7.48990i 0.291470 0.270445i
\(768\) 39.6581 27.0385i 1.43104 0.975666i
\(769\) −15.6938 + 19.6794i −0.565933 + 0.709657i −0.979642 0.200752i \(-0.935661\pi\)
0.413709 + 0.910409i \(0.364233\pi\)
\(770\) −1.65455 5.40557i −0.0596259 0.194803i
\(771\) 7.33170 + 9.19365i 0.264045 + 0.331101i
\(772\) −24.9463 7.69493i −0.897838 0.276946i