Properties

Label 177.2.e.a.7.1
Level $177$
Weight $2$
Character 177.7
Analytic conductor $1.413$
Analytic rank $0$
Dimension $140$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(140\)
Relative dimension: \(5\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 7.1
Character \(\chi\) \(=\) 177.7
Dual form 177.2.e.a.76.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.39179 - 2.05274i) q^{2} +(0.0541389 - 0.998533i) q^{3} +(-1.53638 + 3.85601i) q^{4} +(-1.61683 + 0.748026i) q^{5} +(-2.12508 + 1.27862i) q^{6} +(-0.975578 + 3.51371i) q^{7} +(5.20950 - 1.14670i) q^{8} +(-0.994138 - 0.108119i) q^{9} +O(q^{10})\) \(q+(-1.39179 - 2.05274i) q^{2} +(0.0541389 - 0.998533i) q^{3} +(-1.53638 + 3.85601i) q^{4} +(-1.61683 + 0.748026i) q^{5} +(-2.12508 + 1.27862i) q^{6} +(-0.975578 + 3.51371i) q^{7} +(5.20950 - 1.14670i) q^{8} +(-0.994138 - 0.108119i) q^{9} +(3.78579 + 2.27784i) q^{10} +(-2.09707 + 1.98645i) q^{11} +(3.76718 + 1.74288i) q^{12} +(-5.08799 + 0.553353i) q^{13} +(8.57054 - 2.88775i) q^{14} +(0.659395 + 1.65496i) q^{15} +(-3.57745 - 3.38874i) q^{16} +(-1.42624 - 5.13686i) q^{17} +(1.16169 + 2.19118i) q^{18} +(3.59214 - 2.73067i) q^{19} +(-0.400336 - 7.38377i) q^{20} +(3.45574 + 1.16438i) q^{21} +(6.99636 + 1.54002i) q^{22} +(-0.197691 + 0.372884i) q^{23} +(-0.862979 - 5.26394i) q^{24} +(-1.18233 + 1.39195i) q^{25} +(8.21731 + 9.67417i) q^{26} +(-0.161782 + 0.986827i) q^{27} +(-12.0501 - 9.16022i) q^{28} +(-4.40513 + 6.49708i) q^{29} +(2.47945 - 3.65692i) q^{30} +(-2.97159 - 2.25894i) q^{31} +(-0.251177 + 1.53211i) q^{32} +(1.87001 + 2.20154i) q^{33} +(-8.55960 + 10.0771i) q^{34} +(-1.05100 - 6.41084i) q^{35} +(1.94428 - 3.66730i) q^{36} +(6.60033 + 1.45284i) q^{37} +(-10.6049 - 3.57319i) q^{38} +(0.277083 + 5.11049i) q^{39} +(-7.56512 + 5.75085i) q^{40} +(3.63656 + 6.85928i) q^{41} +(-2.41952 - 8.71431i) q^{42} +(-6.02922 - 5.71119i) q^{43} +(-4.43790 - 11.1383i) q^{44} +(1.68823 - 0.568831i) q^{45} +(1.04058 - 0.113170i) q^{46} +(-5.25263 - 2.43012i) q^{47} +(-3.57745 + 3.38874i) q^{48} +(-5.39643 - 3.24693i) q^{49} +(4.50286 + 0.489716i) q^{50} +(-5.20654 + 1.14605i) q^{51} +(5.68334 - 20.4695i) q^{52} +(-7.20952 + 4.33782i) q^{53} +(2.25086 - 1.04136i) q^{54} +(1.90470 - 4.78043i) q^{55} +(-1.05310 + 19.4234i) q^{56} +(-2.53219 - 3.73471i) q^{57} +19.4678 q^{58} +(-7.64566 - 0.737433i) q^{59} -7.39461 q^{60} +(4.56175 + 6.72807i) q^{61} +(-0.501188 + 9.24386i) q^{62} +(1.34976 - 3.38764i) q^{63} +(-5.44981 + 2.52135i) q^{64} +(7.81251 - 4.70063i) q^{65} +(1.91653 - 6.90272i) q^{66} +(3.44262 - 0.757778i) q^{67} +(21.9990 + 2.39254i) q^{68} +(0.361635 + 0.217588i) q^{69} +(-11.6970 + 11.0800i) q^{70} +(13.9288 + 6.44416i) q^{71} +(-5.30294 + 0.576729i) q^{72} +(9.42109 - 3.17434i) q^{73} +(-6.20397 - 15.5708i) q^{74} +(1.32590 + 1.25596i) q^{75} +(5.01063 + 18.0467i) q^{76} +(-4.93397 - 9.30646i) q^{77} +(10.1049 - 7.68151i) q^{78} +(-0.101194 - 1.86642i) q^{79} +(8.31900 + 2.80300i) q^{80} +(0.976621 + 0.214970i) q^{81} +(9.01898 - 17.0116i) q^{82} +(-1.40061 - 8.54335i) q^{83} +(-9.79917 + 11.5365i) q^{84} +(6.14849 + 7.23857i) q^{85} +(-3.33215 + 20.3252i) q^{86} +(6.24906 + 4.75041i) q^{87} +(-8.64684 + 12.7531i) q^{88} +(-2.39029 + 3.52541i) q^{89} +(-3.51732 - 2.67380i) q^{90} +(3.01941 - 18.4176i) q^{91} +(-1.13412 - 1.33519i) q^{92} +(-2.41651 + 2.84493i) q^{93} +(2.32215 + 14.1645i) q^{94} +(-3.76527 + 7.10205i) q^{95} +(1.51627 + 0.333756i) q^{96} +(12.8457 + 4.32822i) q^{97} +(0.845618 + 15.5965i) q^{98} +(2.29955 - 1.74808i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 140q - q^{2} - 5q^{3} - 9q^{4} - 2q^{5} - q^{6} - 2q^{7} - 9q^{8} - 5q^{9} + O(q^{10}) \) \( 140q - q^{2} - 5q^{3} - 9q^{4} - 2q^{5} - q^{6} - 2q^{7} - 9q^{8} - 5q^{9} + 88q^{10} - 14q^{11} - 9q^{12} - 12q^{13} - q^{14} - 2q^{15} - 41q^{16} - 16q^{17} - q^{18} - 10q^{19} - 32q^{20} + 27q^{21} - 26q^{22} - 22q^{23} - 9q^{24} + 27q^{25} - 56q^{26} - 5q^{27} - 50q^{28} - 24q^{29} - 28q^{30} - 24q^{31} + 106q^{32} - 14q^{33} - 54q^{34} - 70q^{35} - 9q^{36} - 28q^{37} - 80q^{38} - 12q^{39} - 50q^{40} - 40q^{41} - 30q^{42} + 4q^{43} - 104q^{44} - 2q^{45} - 28q^{46} + 31q^{47} - 41q^{48} - q^{49} + 39q^{50} - 16q^{51} + 62q^{52} + 4q^{53} - q^{54} + 5q^{55} + 96q^{56} - 10q^{57} + 128q^{58} - q^{59} - 32q^{60} - 16q^{61} + 223q^{62} - 2q^{63} + 97q^{64} + 121q^{65} - 26q^{66} - 12q^{67} + 10q^{68} + 36q^{69} - 2q^{70} - 22q^{71} - 9q^{72} + 179q^{73} - 38q^{74} - 31q^{75} + 112q^{76} - 62q^{77} - 56q^{78} - 84q^{79} + 204q^{80} - 5q^{81} - 152q^{82} - 88q^{83} + 95q^{84} - 118q^{85} - 118q^{86} + 34q^{87} + 18q^{88} - 86q^{89} - 28q^{90} + 78q^{91} - 174q^{92} - 24q^{93} - 164q^{94} + 218q^{95} - 39q^{96} - 84q^{97} + 129q^{98} - 14q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{9}{29}\right)\) \(1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.39179 2.05274i −0.984145 1.45151i −0.890007 0.455946i \(-0.849301\pi\)
−0.0941374 0.995559i \(-0.530009\pi\)
\(3\) 0.0541389 0.998533i 0.0312571 0.576504i
\(4\) −1.53638 + 3.85601i −0.768188 + 1.92801i
\(5\) −1.61683 + 0.748026i −0.723069 + 0.334527i −0.746670 0.665194i \(-0.768349\pi\)
0.0236015 + 0.999721i \(0.492487\pi\)
\(6\) −2.12508 + 1.27862i −0.867559 + 0.521993i
\(7\) −0.975578 + 3.51371i −0.368734 + 1.32806i 0.513840 + 0.857886i \(0.328222\pi\)
−0.882574 + 0.470173i \(0.844191\pi\)
\(8\) 5.20950 1.14670i 1.84183 0.405419i
\(9\) −0.994138 0.108119i −0.331379 0.0360397i
\(10\) 3.78579 + 2.27784i 1.19717 + 0.720315i
\(11\) −2.09707 + 1.98645i −0.632292 + 0.598938i −0.935217 0.354076i \(-0.884795\pi\)
0.302925 + 0.953014i \(0.402037\pi\)
\(12\) 3.76718 + 1.74288i 1.08749 + 0.503127i
\(13\) −5.08799 + 0.553353i −1.41116 + 0.153472i −0.781744 0.623600i \(-0.785670\pi\)
−0.629412 + 0.777072i \(0.716704\pi\)
\(14\) 8.57054 2.88775i 2.29057 0.771784i
\(15\) 0.659395 + 1.65496i 0.170255 + 0.427308i
\(16\) −3.57745 3.38874i −0.894362 0.847185i
\(17\) −1.42624 5.13686i −0.345914 1.24587i −0.908063 0.418835i \(-0.862439\pi\)
0.562148 0.827037i \(-0.309975\pi\)
\(18\) 1.16169 + 2.19118i 0.273814 + 0.516467i
\(19\) 3.59214 2.73067i 0.824093 0.626459i −0.105760 0.994392i \(-0.533727\pi\)
0.929852 + 0.367933i \(0.119934\pi\)
\(20\) −0.400336 7.38377i −0.0895179 1.65106i
\(21\) 3.45574 + 1.16438i 0.754105 + 0.254088i
\(22\) 6.99636 + 1.54002i 1.49163 + 0.328332i
\(23\) −0.197691 + 0.372884i −0.0412214 + 0.0777518i −0.903267 0.429079i \(-0.858838\pi\)
0.862046 + 0.506831i \(0.169183\pi\)
\(24\) −0.862979 5.26394i −0.176155 1.07450i
\(25\) −1.18233 + 1.39195i −0.236466 + 0.278390i
\(26\) 8.21731 + 9.67417i 1.61155 + 1.89726i
\(27\) −0.161782 + 0.986827i −0.0311350 + 0.189915i
\(28\) −12.0501 9.16022i −2.27725 1.73112i
\(29\) −4.40513 + 6.49708i −0.818012 + 1.20648i 0.157715 + 0.987485i \(0.449587\pi\)
−0.975727 + 0.218993i \(0.929723\pi\)
\(30\) 2.47945 3.65692i 0.452684 0.667659i
\(31\) −2.97159 2.25894i −0.533713 0.405718i 0.303305 0.952893i \(-0.401910\pi\)
−0.837018 + 0.547176i \(0.815703\pi\)
\(32\) −0.251177 + 1.53211i −0.0444023 + 0.270842i
\(33\) 1.87001 + 2.20154i 0.325527 + 0.383239i
\(34\) −8.55960 + 10.0771i −1.46796 + 1.72821i
\(35\) −1.05100 6.41084i −0.177652 1.08363i
\(36\) 1.94428 3.66730i 0.324046 0.611216i
\(37\) 6.60033 + 1.45284i 1.08509 + 0.238846i 0.721291 0.692633i \(-0.243549\pi\)
0.363797 + 0.931478i \(0.381480\pi\)
\(38\) −10.6049 3.57319i −1.72034 0.579649i
\(39\) 0.277083 + 5.11049i 0.0443687 + 0.818333i
\(40\) −7.56512 + 5.75085i −1.19615 + 0.909290i
\(41\) 3.63656 + 6.85928i 0.567935 + 1.07124i 0.986609 + 0.163103i \(0.0521503\pi\)
−0.418674 + 0.908137i \(0.637505\pi\)
\(42\) −2.41952 8.71431i −0.373339 1.34465i
\(43\) −6.02922 5.71119i −0.919448 0.870948i 0.0725288 0.997366i \(-0.476893\pi\)
−0.991977 + 0.126419i \(0.959652\pi\)
\(44\) −4.43790 11.1383i −0.669038 1.67916i
\(45\) 1.68823 0.568831i 0.251666 0.0847963i
\(46\) 1.04058 0.113170i 0.153425 0.0166860i
\(47\) −5.25263 2.43012i −0.766175 0.354470i −0.00243702 0.999997i \(-0.500776\pi\)
−0.763737 + 0.645527i \(0.776638\pi\)
\(48\) −3.57745 + 3.38874i −0.516360 + 0.489123i
\(49\) −5.39643 3.24693i −0.770919 0.463847i
\(50\) 4.50286 + 0.489716i 0.636801 + 0.0692563i
\(51\) −5.20654 + 1.14605i −0.729061 + 0.160479i
\(52\) 5.68334 20.4695i 0.788137 2.83861i
\(53\) −7.20952 + 4.33782i −0.990303 + 0.595846i −0.915910 0.401383i \(-0.868530\pi\)
−0.0743930 + 0.997229i \(0.523702\pi\)
\(54\) 2.25086 1.04136i 0.306304 0.141711i
\(55\) 1.90470 4.78043i 0.256829 0.644593i
\(56\) −1.05310 + 19.4234i −0.140727 + 2.59556i
\(57\) −2.53219 3.73471i −0.335397 0.494674i
\(58\) 19.4678 2.55625
\(59\) −7.64566 0.737433i −0.995381 0.0960056i
\(60\) −7.39461 −0.954641
\(61\) 4.56175 + 6.72807i 0.584072 + 0.861441i 0.998824 0.0484934i \(-0.0154420\pi\)
−0.414752 + 0.909935i \(0.636132\pi\)
\(62\) −0.501188 + 9.24386i −0.0636509 + 1.17397i
\(63\) 1.34976 3.38764i 0.170054 0.426802i
\(64\) −5.44981 + 2.52135i −0.681226 + 0.315169i
\(65\) 7.81251 4.70063i 0.969022 0.583041i
\(66\) 1.91653 6.90272i 0.235909 0.849667i
\(67\) 3.44262 0.757778i 0.420583 0.0925774i 0.000363849 1.00000i \(-0.499884\pi\)
0.420219 + 0.907423i \(0.361953\pi\)
\(68\) 21.9990 + 2.39254i 2.66777 + 0.290138i
\(69\) 0.361635 + 0.217588i 0.0435357 + 0.0261946i
\(70\) −11.6970 + 11.0800i −1.39806 + 1.32431i
\(71\) 13.9288 + 6.44416i 1.65305 + 0.764781i 0.999972 + 0.00748811i \(0.00238356\pi\)
0.653075 + 0.757293i \(0.273479\pi\)
\(72\) −5.30294 + 0.576729i −0.624957 + 0.0679682i
\(73\) 9.42109 3.17434i 1.10266 0.371528i 0.291626 0.956533i \(-0.405804\pi\)
0.811030 + 0.585005i \(0.198907\pi\)
\(74\) −6.20397 15.5708i −0.721197 1.81007i
\(75\) 1.32590 + 1.25596i 0.153101 + 0.145025i
\(76\) 5.01063 + 18.0467i 0.574759 + 2.07009i
\(77\) −4.93397 9.30646i −0.562278 1.06057i
\(78\) 10.1049 7.68151i 1.14415 0.869760i
\(79\) −0.101194 1.86642i −0.0113853 0.209989i −0.998691 0.0511556i \(-0.983710\pi\)
0.987305 0.158833i \(-0.0507732\pi\)
\(80\) 8.31900 + 2.80300i 0.930092 + 0.313385i
\(81\) 0.976621 + 0.214970i 0.108513 + 0.0238856i
\(82\) 9.01898 17.0116i 0.995980 1.87862i
\(83\) −1.40061 8.54335i −0.153737 0.937754i −0.945189 0.326523i \(-0.894123\pi\)
0.791452 0.611231i \(-0.209325\pi\)
\(84\) −9.79917 + 11.5365i −1.06918 + 1.25873i
\(85\) 6.14849 + 7.23857i 0.666898 + 0.785133i
\(86\) −3.33215 + 20.3252i −0.359315 + 2.19172i
\(87\) 6.24906 + 4.75041i 0.669970 + 0.509298i
\(88\) −8.64684 + 12.7531i −0.921756 + 1.35949i
\(89\) −2.39029 + 3.52541i −0.253370 + 0.373693i −0.933009 0.359854i \(-0.882826\pi\)
0.679638 + 0.733547i \(0.262137\pi\)
\(90\) −3.51732 2.67380i −0.370758 0.281843i
\(91\) 3.01941 18.4176i 0.316520 1.93069i
\(92\) −1.13412 1.33519i −0.118240 0.139203i
\(93\) −2.41651 + 2.84493i −0.250580 + 0.295006i
\(94\) 2.32215 + 14.1645i 0.239512 + 1.46096i
\(95\) −3.76527 + 7.10205i −0.386308 + 0.728655i
\(96\) 1.51627 + 0.333756i 0.154753 + 0.0340638i
\(97\) 12.8457 + 4.32822i 1.30428 + 0.439464i 0.883812 0.467841i \(-0.154968\pi\)
0.420471 + 0.907306i \(0.361865\pi\)
\(98\) 0.845618 + 15.5965i 0.0854203 + 1.57549i
\(99\) 2.29955 1.74808i 0.231114 0.175688i
\(100\) −3.55086 6.69764i −0.355086 0.669764i
\(101\) −1.59291 5.73715i −0.158501 0.570868i −0.999552 0.0299135i \(-0.990477\pi\)
0.841052 0.540955i \(-0.181937\pi\)
\(102\) 9.59895 + 9.09261i 0.950438 + 0.900302i
\(103\) −3.48615 8.74957i −0.343500 0.862120i −0.994663 0.103182i \(-0.967098\pi\)
0.651162 0.758938i \(-0.274282\pi\)
\(104\) −25.8714 + 8.71708i −2.53690 + 0.854780i
\(105\) −6.45834 + 0.702387i −0.630269 + 0.0685459i
\(106\) 18.9386 + 8.76191i 1.83947 + 0.851032i
\(107\) −4.98011 + 4.71741i −0.481445 + 0.456049i −0.889518 0.456900i \(-0.848960\pi\)
0.408073 + 0.912949i \(0.366201\pi\)
\(108\) −3.55666 2.13997i −0.342240 0.205919i
\(109\) −16.3262 1.77558i −1.56377 0.170070i −0.715111 0.699011i \(-0.753624\pi\)
−0.848659 + 0.528941i \(0.822589\pi\)
\(110\) −12.4639 + 2.74351i −1.18839 + 0.261584i
\(111\) 1.80805 6.51199i 0.171612 0.618091i
\(112\) 15.3971 9.26415i 1.45489 0.875380i
\(113\) −0.300196 + 0.138885i −0.0282400 + 0.0130652i −0.433958 0.900933i \(-0.642883\pi\)
0.405718 + 0.913998i \(0.367021\pi\)
\(114\) −4.14209 + 10.3959i −0.387942 + 0.973661i
\(115\) 0.0407055 0.750769i 0.00379581 0.0700096i
\(116\) −18.2849 26.9682i −1.69771 2.50393i
\(117\) 5.11800 0.473159
\(118\) 9.12741 + 16.7209i 0.840246 + 1.53928i
\(119\) 19.4409 1.78214
\(120\) 5.33285 + 7.86537i 0.486820 + 0.718006i
\(121\) −0.143808 + 2.65238i −0.0130735 + 0.241126i
\(122\) 7.46197 18.7281i 0.675575 1.69557i
\(123\) 7.04610 3.25987i 0.635326 0.293933i
\(124\) 13.2760 7.98789i 1.19222 0.717334i
\(125\) 3.25340 11.7177i 0.290993 1.04806i
\(126\) −8.83252 + 1.94418i −0.786863 + 0.173202i
\(127\) −11.3433 1.23366i −1.00655 0.109469i −0.410036 0.912069i \(-0.634484\pi\)
−0.596518 + 0.802600i \(0.703450\pi\)
\(128\) 15.4213 + 9.27870i 1.36307 + 0.820129i
\(129\) −6.02922 + 5.71119i −0.530844 + 0.502842i
\(130\) −20.5225 9.49474i −1.79995 0.832744i
\(131\) 0.0429402 0.00467003i 0.00375170 0.000408022i −0.106243 0.994340i \(-0.533882\pi\)
0.109995 + 0.993932i \(0.464917\pi\)
\(132\) −11.3622 + 3.82837i −0.988954 + 0.333217i
\(133\) 6.09039 + 15.2857i 0.528104 + 1.32544i
\(134\) −6.34693 6.01213i −0.548291 0.519369i
\(135\) −0.476597 1.71655i −0.0410190 0.147737i
\(136\) −13.3204 25.1250i −1.14222 2.15445i
\(137\) −3.36896 + 2.56102i −0.287830 + 0.218802i −0.739118 0.673576i \(-0.764758\pi\)
0.451289 + 0.892378i \(0.350964\pi\)
\(138\) −0.0566680 1.04518i −0.00482390 0.0889716i
\(139\) −7.13190 2.40302i −0.604920 0.203821i 0.000141648 1.00000i \(-0.499955\pi\)
−0.605061 + 0.796179i \(0.706851\pi\)
\(140\) 26.3350 + 5.79677i 2.22571 + 0.489917i
\(141\) −2.71093 + 5.11336i −0.228302 + 0.430623i
\(142\) −6.15784 37.5612i −0.516754 3.15206i
\(143\) 9.57069 11.2675i 0.800341 0.942235i
\(144\) 3.19009 + 3.75567i 0.265841 + 0.312972i
\(145\) 2.26237 13.7998i 0.187879 1.14601i
\(146\) −19.6283 14.9210i −1.62445 1.23487i
\(147\) −3.53432 + 5.21273i −0.291506 + 0.429939i
\(148\) −15.7428 + 23.2188i −1.29405 + 1.90858i
\(149\) −0.155853 0.118476i −0.0127680 0.00970594i 0.598771 0.800920i \(-0.295656\pi\)
−0.611539 + 0.791214i \(0.709449\pi\)
\(150\) 0.732777 4.46975i 0.0598310 0.364953i
\(151\) −3.41328 4.01842i −0.277769 0.327015i 0.605532 0.795821i \(-0.292960\pi\)
−0.883301 + 0.468806i \(0.844684\pi\)
\(152\) 15.5820 18.3445i 1.26387 1.48794i
\(153\) 0.862489 + 5.26095i 0.0697281 + 0.425323i
\(154\) −12.2367 + 23.0808i −0.986059 + 1.85990i
\(155\) 6.49430 + 1.42950i 0.521635 + 0.114820i
\(156\) −20.1318 6.78320i −1.61184 0.543091i
\(157\) 1.23662 + 22.8082i 0.0986933 + 1.82029i 0.460084 + 0.887876i \(0.347819\pi\)
−0.361390 + 0.932415i \(0.617698\pi\)
\(158\) −3.69043 + 2.80539i −0.293595 + 0.223185i
\(159\) 3.94114 + 7.43379i 0.312553 + 0.589538i
\(160\) −0.739949 2.66505i −0.0584981 0.210691i
\(161\) −1.11735 1.05841i −0.0880592 0.0834141i
\(162\) −0.917974 2.30394i −0.0721228 0.181015i
\(163\) −15.1796 + 5.11461i −1.18896 + 0.400607i −0.843140 0.537694i \(-0.819295\pi\)
−0.345819 + 0.938301i \(0.612399\pi\)
\(164\) −32.0366 + 3.48419i −2.50164 + 0.272070i
\(165\) −4.67030 2.16071i −0.363582 0.168211i
\(166\) −15.5879 + 14.7656i −1.20986 + 1.14604i
\(167\) 16.2418 + 9.77238i 1.25683 + 0.756210i 0.978890 0.204389i \(-0.0655207\pi\)
0.277940 + 0.960598i \(0.410348\pi\)
\(168\) 19.3379 + 2.10312i 1.49195 + 0.162259i
\(169\) 12.8854 2.83630i 0.991186 0.218177i
\(170\) 6.30146 22.6958i 0.483300 1.74069i
\(171\) −3.86632 + 2.32629i −0.295665 + 0.177896i
\(172\) 31.2856 14.4742i 2.38550 1.10365i
\(173\) −7.44584 + 18.6877i −0.566097 + 1.42080i 0.315560 + 0.948905i \(0.397808\pi\)
−0.881657 + 0.471890i \(0.843572\pi\)
\(174\) 1.05397 19.4393i 0.0799010 1.47369i
\(175\) −3.73745 5.51233i −0.282525 0.416693i
\(176\) 14.2338 1.07291
\(177\) −1.15028 + 7.59453i −0.0864603 + 0.570840i
\(178\) 10.5635 0.791771
\(179\) 8.01559 + 11.8221i 0.599114 + 0.883627i 0.999464 0.0327356i \(-0.0104219\pi\)
−0.400350 + 0.916362i \(0.631112\pi\)
\(180\) −0.400336 + 7.38377i −0.0298393 + 0.550354i
\(181\) −2.98588 + 7.49399i −0.221939 + 0.557024i −0.997214 0.0746001i \(-0.976232\pi\)
0.775275 + 0.631624i \(0.217611\pi\)
\(182\) −42.0089 + 19.4354i −3.11391 + 1.44065i
\(183\) 6.96517 4.19080i 0.514880 0.309793i
\(184\) −0.602284 + 2.16923i −0.0444010 + 0.159918i
\(185\) −11.7584 + 2.58822i −0.864493 + 0.190289i
\(186\) 9.20317 + 1.00091i 0.674809 + 0.0733899i
\(187\) 13.1951 + 7.93921i 0.964919 + 0.580573i
\(188\) 17.4406 16.5206i 1.27199 1.20489i
\(189\) −3.30960 1.53118i −0.240738 0.111377i
\(190\) 19.8191 2.15546i 1.43783 0.156373i
\(191\) 9.47825 3.19359i 0.685822 0.231080i 0.0452469 0.998976i \(-0.485593\pi\)
0.640575 + 0.767895i \(0.278696\pi\)
\(192\) 2.22261 + 5.57832i 0.160403 + 0.402581i
\(193\) −14.0136 13.2744i −1.00872 0.955514i −0.00971137 0.999953i \(-0.503091\pi\)
−0.999012 + 0.0444392i \(0.985850\pi\)
\(194\) −8.99383 32.3929i −0.645720 2.32567i
\(195\) −4.27077 8.05554i −0.305837 0.576869i
\(196\) 20.8111 15.8202i 1.48651 1.13002i
\(197\) 0.134674 + 2.48391i 0.00959512 + 0.176972i 0.999403 + 0.0345599i \(0.0110029\pi\)
−0.989808 + 0.142412i \(0.954514\pi\)
\(198\) −6.78884 2.28743i −0.482462 0.162560i
\(199\) 6.22543 + 1.37032i 0.441309 + 0.0971395i 0.430066 0.902797i \(-0.358490\pi\)
0.0112428 + 0.999937i \(0.496421\pi\)
\(200\) −4.56321 + 8.60712i −0.322667 + 0.608615i
\(201\) −0.570287 3.47860i −0.0402250 0.245361i
\(202\) −9.55987 + 11.2548i −0.672630 + 0.791882i
\(203\) −18.5313 21.8168i −1.30064 1.53124i
\(204\) 3.58003 21.8372i 0.250652 1.52891i
\(205\) −11.0106 8.37006i −0.769015 0.584590i
\(206\) −13.1086 + 19.3337i −0.913318 + 1.34704i
\(207\) 0.236848 0.349324i 0.0164621 0.0242797i
\(208\) 20.0772 + 15.2623i 1.39210 + 1.05825i
\(209\) −2.10862 + 12.8620i −0.145857 + 0.889686i
\(210\) 10.4305 + 12.2797i 0.719771 + 0.847380i
\(211\) 15.0777 17.7508i 1.03799 1.22202i 0.0634063 0.997988i \(-0.479804\pi\)
0.974583 0.224027i \(-0.0719205\pi\)
\(212\) −5.65017 34.4645i −0.388055 2.36703i
\(213\) 7.18880 13.5595i 0.492568 0.929083i
\(214\) 16.6149 + 3.65721i 1.13577 + 0.250002i
\(215\) 14.0204 + 4.72401i 0.956180 + 0.322175i
\(216\) 0.288788 + 5.32638i 0.0196495 + 0.362414i
\(217\) 10.8363 8.23753i 0.735615 0.559200i
\(218\) 19.0779 + 35.9847i 1.29212 + 2.43719i
\(219\) −2.65963 9.57913i −0.179721 0.647298i
\(220\) 15.5071 + 14.6891i 1.04549 + 0.990336i
\(221\) 10.0992 + 25.3471i 0.679346 + 1.70503i
\(222\) −15.8838 + 5.35189i −1.06605 + 0.359195i
\(223\) −0.976029 + 0.106150i −0.0653597 + 0.00710830i −0.140740 0.990047i \(-0.544948\pi\)
0.0753807 + 0.997155i \(0.475983\pi\)
\(224\) −5.13836 2.37726i −0.343321 0.158837i
\(225\) 1.32590 1.25596i 0.0883931 0.0837304i
\(226\) 0.702904 + 0.422924i 0.0467565 + 0.0281325i
\(227\) 4.49492 + 0.488853i 0.298339 + 0.0324463i 0.256064 0.966660i \(-0.417574\pi\)
0.0422744 + 0.999106i \(0.486540\pi\)
\(228\) 18.2915 4.02626i 1.21138 0.266645i
\(229\) −0.741921 + 2.67216i −0.0490275 + 0.176581i −0.984010 0.178112i \(-0.943001\pi\)
0.934983 + 0.354693i \(0.115415\pi\)
\(230\) −1.59779 + 0.961356i −0.105355 + 0.0633899i
\(231\) −9.55993 + 4.42290i −0.628997 + 0.291005i
\(232\) −15.4983 + 38.8979i −1.01751 + 2.55377i
\(233\) −0.642130 + 11.8434i −0.0420673 + 0.775886i 0.899058 + 0.437829i \(0.144252\pi\)
−0.941126 + 0.338057i \(0.890230\pi\)
\(234\) −7.12318 10.5059i −0.465657 0.686793i
\(235\) 10.3104 0.672577
\(236\) 14.5902 28.3488i 0.949739 1.84535i
\(237\) −1.86916 −0.121415
\(238\) −27.0576 39.9070i −1.75388 2.58679i
\(239\) −0.320440 + 5.91017i −0.0207276 + 0.382297i 0.969703 + 0.244286i \(0.0785537\pi\)
−0.990431 + 0.138011i \(0.955929\pi\)
\(240\) 3.24927 8.15505i 0.209739 0.526406i
\(241\) −8.01870 + 3.70985i −0.516530 + 0.238972i −0.660794 0.750567i \(-0.729780\pi\)
0.144264 + 0.989539i \(0.453918\pi\)
\(242\) 5.64480 3.39636i 0.362861 0.218327i
\(243\) 0.267528 0.963550i 0.0171620 0.0618118i
\(244\) −32.9521 + 7.25330i −2.10954 + 0.464345i
\(245\) 11.1539 + 1.21306i 0.712597 + 0.0774996i
\(246\) −16.4984 9.92674i −1.05190 0.632906i
\(247\) −16.7658 + 15.8814i −1.06678 + 1.01051i
\(248\) −18.0708 8.36044i −1.14750 0.530888i
\(249\) −8.60665 + 0.936029i −0.545424 + 0.0593184i
\(250\) −28.5814 + 9.63021i −1.80765 + 0.609068i
\(251\) 5.25526 + 13.1897i 0.331709 + 0.832527i 0.996350 + 0.0853638i \(0.0272052\pi\)
−0.664641 + 0.747163i \(0.731415\pi\)
\(252\) 10.9890 + 10.4094i 0.692244 + 0.655729i
\(253\) −0.326146 1.17467i −0.0205046 0.0738509i
\(254\) 13.2551 + 25.0018i 0.831700 + 1.56875i
\(255\) 7.56082 5.74759i 0.473477 0.359928i
\(256\) −1.76633 32.5780i −0.110395 2.03612i
\(257\) 8.47015 + 2.85393i 0.528353 + 0.178023i 0.570821 0.821075i \(-0.306625\pi\)
−0.0424671 + 0.999098i \(0.513522\pi\)
\(258\) 20.1150 + 4.42764i 1.25230 + 0.275653i
\(259\) −11.5440 + 21.7743i −0.717310 + 1.35299i
\(260\) 6.12274 + 37.3471i 0.379716 + 2.31617i
\(261\) 5.08176 5.98271i 0.314553 0.370321i
\(262\) −0.0693501 0.0816453i −0.00428447 0.00504406i
\(263\) 1.98355 12.0991i 0.122311 0.746064i −0.852449 0.522810i \(-0.824884\pi\)
0.974760 0.223254i \(-0.0716680\pi\)
\(264\) 12.2663 + 9.32460i 0.754939 + 0.573889i
\(265\) 8.41177 12.4064i 0.516731 0.762121i
\(266\) 22.9010 33.7765i 1.40415 2.07097i
\(267\) 3.39084 + 2.57765i 0.207516 + 0.157749i
\(268\) −2.36716 + 14.4390i −0.144597 + 0.882004i
\(269\) −9.68130 11.3977i −0.590280 0.694931i 0.383210 0.923661i \(-0.374818\pi\)
−0.973490 + 0.228730i \(0.926543\pi\)
\(270\) −2.86030 + 3.36741i −0.174072 + 0.204934i
\(271\) 4.56770 + 27.8617i 0.277468 + 1.69248i 0.646380 + 0.763016i \(0.276282\pi\)
−0.368912 + 0.929464i \(0.620270\pi\)
\(272\) −12.3052 + 23.2100i −0.746111 + 1.40731i
\(273\) −18.2271 4.01209i −1.10316 0.242823i
\(274\) 9.94599 + 3.35119i 0.600859 + 0.202453i
\(275\) −0.285604 5.26766i −0.0172226 0.317652i
\(276\) −1.39463 + 1.06017i −0.0839469 + 0.0638148i
\(277\) −15.1174 28.5144i −0.908314 1.71326i −0.670437 0.741967i \(-0.733893\pi\)
−0.237877 0.971295i \(-0.576452\pi\)
\(278\) 4.99335 + 17.9844i 0.299481 + 1.07863i
\(279\) 2.70993 + 2.56698i 0.162239 + 0.153681i
\(280\) −12.8265 32.1921i −0.766529 1.92384i
\(281\) −0.180138 + 0.0606955i −0.0107461 + 0.00362079i −0.324669 0.945828i \(-0.605253\pi\)
0.313923 + 0.949448i \(0.398357\pi\)
\(282\) 14.2694 1.55190i 0.849733 0.0924140i
\(283\) −20.6728 9.56424i −1.22887 0.568535i −0.305405 0.952223i \(-0.598792\pi\)
−0.923463 + 0.383688i \(0.874654\pi\)
\(284\) −46.2487 + 43.8091i −2.74435 + 2.59959i
\(285\) 6.88778 + 4.14424i 0.407997 + 0.245484i
\(286\) −36.4496 3.96413i −2.15531 0.234404i
\(287\) −27.6493 + 6.08607i −1.63209 + 0.359249i
\(288\) 0.415355 1.49597i 0.0244750 0.0881511i
\(289\) −9.78658 + 5.88839i −0.575681 + 0.346376i
\(290\) −31.4762 + 14.5624i −1.84834 + 0.855135i
\(291\) 5.01733 12.5925i 0.294121 0.738188i
\(292\) −2.23406 + 41.2048i −0.130738 + 2.41133i
\(293\) −3.18462 4.69697i −0.186048 0.274400i 0.723215 0.690623i \(-0.242664\pi\)
−0.909262 + 0.416224i \(0.863353\pi\)
\(294\) 15.6194 0.910943
\(295\) 12.9134 4.52685i 0.751845 0.263563i
\(296\) 36.0504 2.09538
\(297\) −1.62102 2.39082i −0.0940609 0.138730i
\(298\) −0.0262861 + 0.484819i −0.00152271 + 0.0280848i
\(299\) 0.799513 2.00663i 0.0462370 0.116046i
\(300\) −6.88005 + 3.18305i −0.397220 + 0.183774i
\(301\) 25.9494 15.6133i 1.49570 0.899934i
\(302\) −3.49820 + 12.5994i −0.201299 + 0.725013i
\(303\) −5.81498 + 1.27997i −0.334062 + 0.0735326i
\(304\) −22.1042 2.40398i −1.26776 0.137878i
\(305\) −12.4083 7.46585i −0.710500 0.427493i
\(306\) 9.59895 9.09261i 0.548735 0.519790i
\(307\) 10.4076 + 4.81505i 0.593991 + 0.274809i 0.693766 0.720201i \(-0.255950\pi\)
−0.0997751 + 0.995010i \(0.531812\pi\)
\(308\) 43.4663 4.72724i 2.47672 0.269360i
\(309\) −8.92547 + 3.00734i −0.507752 + 0.171082i
\(310\) −6.10431 15.3207i −0.346702 0.870156i
\(311\) 9.67667 + 9.16623i 0.548714 + 0.519769i 0.911060 0.412274i \(-0.135265\pi\)
−0.362346 + 0.932044i \(0.618024\pi\)
\(312\) 7.30364 + 26.3053i 0.413487 + 1.48925i
\(313\) 7.03630 + 13.2719i 0.397715 + 0.750171i 0.998798 0.0490161i \(-0.0156086\pi\)
−0.601083 + 0.799187i \(0.705264\pi\)
\(314\) 45.0981 34.2827i 2.54503 1.93468i
\(315\) 0.351709 + 6.48689i 0.0198166 + 0.365495i
\(316\) 7.35242 + 2.47732i 0.413606 + 0.139360i
\(317\) 2.85165 + 0.627695i 0.160165 + 0.0352549i 0.294329 0.955704i \(-0.404904\pi\)
−0.134164 + 0.990959i \(0.542835\pi\)
\(318\) 9.77437 18.4364i 0.548119 1.03386i
\(319\) −3.66827 22.3754i −0.205384 1.25278i
\(320\) 6.92539 8.15320i 0.387141 0.455778i
\(321\) 4.44087 + 5.22820i 0.247865 + 0.291810i
\(322\) −0.617519 + 3.76670i −0.0344130 + 0.209910i
\(323\) −19.1503 14.5577i −1.06555 0.810012i
\(324\) −2.32938 + 3.43559i −0.129410 + 0.190866i
\(325\) 5.24546 7.73647i 0.290965 0.429142i
\(326\) 31.6258 + 24.0413i 1.75159 + 1.33152i
\(327\) −2.65687 + 16.2062i −0.146925 + 0.896203i
\(328\) 26.8102 + 31.5634i 1.48034 + 1.74280i
\(329\) 13.6631 16.0855i 0.753272 0.886820i
\(330\) 2.06471 + 12.5942i 0.113658 + 0.693285i
\(331\) −0.146099 + 0.275571i −0.00803030 + 0.0151468i −0.887495 0.460818i \(-0.847556\pi\)
0.879464 + 0.475965i \(0.157901\pi\)
\(332\) 35.0951 + 7.72502i 1.92609 + 0.423966i
\(333\) −6.40456 2.15795i −0.350968 0.118255i
\(334\) −2.54508 46.9413i −0.139261 2.56852i
\(335\) −4.99930 + 3.80037i −0.273141 + 0.207636i
\(336\) −8.41698 15.8761i −0.459184 0.866113i
\(337\) 3.51955 + 12.6763i 0.191722 + 0.690521i 0.995430 + 0.0954965i \(0.0304439\pi\)
−0.803708 + 0.595025i \(0.797142\pi\)
\(338\) −23.7560 22.5029i −1.29216 1.22399i
\(339\) 0.122429 + 0.307274i 0.00664945 + 0.0166889i
\(340\) −37.3584 + 12.5875i −2.02604 + 0.682654i
\(341\) 10.7189 1.16575i 0.580462 0.0631291i
\(342\) 10.1564 + 4.69883i 0.549193 + 0.254084i
\(343\) −1.85867 + 1.76062i −0.100359 + 0.0950647i
\(344\) −37.9582 22.8387i −2.04657 1.23138i
\(345\) −0.747464 0.0812916i −0.0402421 0.00437659i
\(346\) 48.7239 10.7249i 2.61941 0.576577i
\(347\) 4.28443 15.4311i 0.230000 0.828385i −0.754984 0.655743i \(-0.772356\pi\)
0.984985 0.172643i \(-0.0552306\pi\)
\(348\) −27.9186 + 16.7980i −1.49659 + 0.900469i
\(349\) 27.3009 12.6307i 1.46138 0.676107i 0.481639 0.876370i \(-0.340042\pi\)
0.979742 + 0.200263i \(0.0641795\pi\)
\(350\) −6.11361 + 15.3440i −0.326786 + 0.820172i
\(351\) 0.277083 5.11049i 0.0147896 0.272778i
\(352\) −2.51673 3.71191i −0.134142 0.197845i
\(353\) −7.05130 −0.375303 −0.187651 0.982236i \(-0.560087\pi\)
−0.187651 + 0.982236i \(0.560087\pi\)
\(354\) 17.1905 8.20877i 0.913666 0.436291i
\(355\) −27.3410 −1.45111
\(356\) −9.92166 14.6333i −0.525847 0.775566i
\(357\) 1.05251 19.4123i 0.0557046 1.02741i
\(358\) 13.1117 32.9078i 0.692974 1.73923i
\(359\) 11.6122 5.37236i 0.612866 0.283542i −0.0887981 0.996050i \(-0.528303\pi\)
0.701665 + 0.712507i \(0.252441\pi\)
\(360\) 8.14255 4.89921i 0.429150 0.258211i
\(361\) 0.363845 1.31045i 0.0191498 0.0689712i
\(362\) 19.5389 4.30084i 1.02694 0.226047i
\(363\) 2.64071 + 0.287194i 0.138601 + 0.0150738i
\(364\) 66.3795 + 39.9392i 3.47923 + 2.09338i
\(365\) −12.8578 + 12.1796i −0.673010 + 0.637509i
\(366\) −18.2967 8.46495i −0.956383 0.442470i
\(367\) −9.77304 + 1.06288i −0.510149 + 0.0554820i −0.359574 0.933117i \(-0.617078\pi\)
−0.150575 + 0.988599i \(0.548112\pi\)
\(368\) 1.97084 0.664052i 0.102737 0.0346161i
\(369\) −2.87362 7.21225i −0.149595 0.375455i
\(370\) 21.6781 + 20.5346i 1.12699 + 1.06754i
\(371\) −8.20842 29.5641i −0.426160 1.53489i
\(372\) −7.25743 13.6890i −0.376280 0.709740i
\(373\) −24.4051 + 18.5523i −1.26365 + 0.960601i −0.999992 0.00401563i \(-0.998722\pi\)
−0.263657 + 0.964617i \(0.584929\pi\)
\(374\) −2.06766 38.1357i −0.106916 1.97195i
\(375\) −11.5244 3.88302i −0.595117 0.200518i
\(376\) −30.1502 6.63655i −1.55488 0.342254i
\(377\) 18.8181 35.4947i 0.969181 1.82807i
\(378\) 1.46315 + 8.92482i 0.0752563 + 0.459043i
\(379\) −12.1008 + 14.2462i −0.621577 + 0.731777i −0.979381 0.202020i \(-0.935249\pi\)
0.357805 + 0.933796i \(0.383525\pi\)
\(380\) −21.6007 25.4303i −1.10809 1.30455i
\(381\) −1.84596 + 11.2599i −0.0945715 + 0.576860i
\(382\) −19.7474 15.0116i −1.01036 0.768058i
\(383\) 4.58355 6.76024i 0.234209 0.345432i −0.692364 0.721549i \(-0.743431\pi\)
0.926572 + 0.376117i \(0.122741\pi\)
\(384\) 10.1000 14.8964i 0.515413 0.760177i
\(385\) 14.9389 + 11.3562i 0.761355 + 0.578767i
\(386\) −7.74486 + 47.2415i −0.394203 + 2.40453i
\(387\) 5.37639 + 6.32958i 0.273297 + 0.321751i
\(388\) −36.4255 + 42.8834i −1.84923 + 2.17708i
\(389\) 2.79062 + 17.0220i 0.141490 + 0.863052i 0.958220 + 0.286032i \(0.0923363\pi\)
−0.816730 + 0.577020i \(0.804215\pi\)
\(390\) −10.5919 + 19.9784i −0.536341 + 1.01165i
\(391\) 2.19741 + 0.483686i 0.111128 + 0.0244611i
\(392\) −31.8359 10.7268i −1.60796 0.541784i
\(393\) −0.00233844 0.0431301i −0.000117959 0.00217562i
\(394\) 4.91139 3.73354i 0.247432 0.188093i
\(395\) 1.55975 + 2.94199i 0.0784793 + 0.148028i
\(396\) 3.20762 + 11.5528i 0.161189 + 0.580551i
\(397\) 6.81284 + 6.45346i 0.341927 + 0.323890i 0.839323 0.543633i \(-0.182952\pi\)
−0.497396 + 0.867524i \(0.665710\pi\)
\(398\) −5.85159 14.6864i −0.293314 0.736162i
\(399\) 15.5930 5.25391i 0.780628 0.263024i
\(400\) 8.94668 0.973010i 0.447334 0.0486505i
\(401\) −10.8788 5.03306i −0.543260 0.251339i 0.129012 0.991643i \(-0.458819\pi\)
−0.672272 + 0.740304i \(0.734682\pi\)
\(402\) −6.34693 + 6.01213i −0.316556 + 0.299858i
\(403\) 16.3694 + 9.84915i 0.815418 + 0.490621i
\(404\) 24.5698 + 2.67213i 1.22240 + 0.132944i
\(405\) −1.73983 + 0.382966i −0.0864530 + 0.0190298i
\(406\) −18.9924 + 68.4044i −0.942576 + 3.39485i
\(407\) −16.7274 + 10.0645i −0.829146 + 0.498880i
\(408\) −25.8093 + 11.9406i −1.27775 + 0.591150i
\(409\) 6.94429 17.4289i 0.343373 0.861801i −0.651309 0.758812i \(-0.725780\pi\)
0.994682 0.102989i \(-0.0328407\pi\)
\(410\) −1.85705 + 34.2513i −0.0917133 + 1.69155i
\(411\) 2.37487 + 3.50267i 0.117144 + 0.172774i
\(412\) 39.0945 1.92605
\(413\) 10.0501 26.1453i 0.494532 1.28652i
\(414\) −1.04671 −0.0514432
\(415\) 8.65520 + 12.7655i 0.424867 + 0.626632i
\(416\) 0.430189 7.93437i 0.0210918 0.389015i
\(417\) −2.78561 + 6.99134i −0.136412 + 0.342368i
\(418\) 29.3372 13.5728i 1.43493 0.663868i
\(419\) −15.4955 + 9.32331i −0.757003 + 0.455473i −0.841029 0.540990i \(-0.818050\pi\)
0.0840263 + 0.996464i \(0.473222\pi\)
\(420\) 7.21402 25.9826i 0.352008 1.26782i
\(421\) −23.3045 + 5.12970i −1.13579 + 0.250006i −0.742785 0.669530i \(-0.766495\pi\)
−0.393005 + 0.919536i \(0.628564\pi\)
\(422\) −57.4227 6.24509i −2.79529 0.304006i
\(423\) 4.95909 + 2.98379i 0.241119 + 0.145077i
\(424\) −32.5838 + 30.8650i −1.58241 + 1.49894i
\(425\) 8.83653 + 4.08821i 0.428635 + 0.198307i
\(426\) −37.8394 + 4.11529i −1.83333 + 0.199386i
\(427\) −28.0909 + 9.46491i −1.35941 + 0.458039i
\(428\) −10.5391 26.4511i −0.509425 1.27856i
\(429\) −10.7328 10.1667i −0.518185 0.490851i
\(430\) −9.81625 35.3549i −0.473382 1.70497i
\(431\) −8.86835 16.7275i −0.427173 0.805735i 0.572728 0.819745i \(-0.305885\pi\)
−0.999902 + 0.0140107i \(0.995540\pi\)
\(432\) 3.92287 2.98208i 0.188739 0.143476i
\(433\) 0.617451 + 11.3882i 0.0296728 + 0.547282i 0.975143 + 0.221575i \(0.0711197\pi\)
−0.945471 + 0.325707i \(0.894398\pi\)
\(434\) −31.9913 10.7791i −1.53563 0.517415i
\(435\) −13.6571 3.00616i −0.654808 0.144134i
\(436\) 31.9299 60.2262i 1.52917 2.88431i
\(437\) 0.308092 + 1.87928i 0.0147381 + 0.0898982i
\(438\) −15.9618 + 18.7917i −0.762684 + 0.897901i
\(439\) −19.0139 22.3849i −0.907485 1.06837i −0.997374 0.0724226i \(-0.976927\pi\)
0.0898886 0.995952i \(-0.471349\pi\)
\(440\) 4.44081 27.0877i 0.211707 1.29136i
\(441\) 5.01374 + 3.81135i 0.238750 + 0.181493i
\(442\) 37.9750 56.0089i 1.80628 2.66407i
\(443\) 4.18362 6.17038i 0.198770 0.293164i −0.715221 0.698898i \(-0.753674\pi\)
0.913991 + 0.405735i \(0.132984\pi\)
\(444\) 22.3325 + 16.9767i 1.05985 + 0.805679i
\(445\) 1.22760 7.48800i 0.0581936 0.354965i
\(446\) 1.57633 + 1.85579i 0.0746412 + 0.0878744i
\(447\) −0.126740 + 0.149210i −0.00599460 + 0.00705739i
\(448\) −3.54259 21.6088i −0.167372 1.02092i
\(449\) 1.86429 3.51642i 0.0879812 0.165950i −0.835617 0.549313i \(-0.814889\pi\)
0.923598 + 0.383363i \(0.125234\pi\)
\(450\) −4.42352 0.973690i −0.208527 0.0459002i
\(451\) −21.2518 7.16056i −1.00071 0.337178i
\(452\) −0.0743301 1.37094i −0.00349619 0.0644835i
\(453\) −4.19732 + 3.19072i −0.197207 + 0.149913i
\(454\) −5.25251 9.90729i −0.246513 0.464972i
\(455\) 8.89496 + 32.0367i 0.417002 + 1.50191i
\(456\) −17.4740 16.5523i −0.818296 0.775131i
\(457\) 10.6403 + 26.7051i 0.497732 + 1.24921i 0.936518 + 0.350620i \(0.114029\pi\)
−0.438786 + 0.898592i \(0.644591\pi\)
\(458\) 6.51784 2.19612i 0.304559 0.102618i
\(459\) 5.29993 0.576402i 0.247379 0.0269041i
\(460\) 2.83244 + 1.31042i 0.132063 + 0.0610988i
\(461\) 14.8609 14.0770i 0.692141 0.655631i −0.258469 0.966020i \(-0.583218\pi\)
0.950610 + 0.310389i \(0.100459\pi\)
\(462\) 22.3845 + 13.4683i 1.04142 + 0.626602i
\(463\) 14.7585 + 1.60509i 0.685887 + 0.0745947i 0.444426 0.895816i \(-0.353408\pi\)
0.241461 + 0.970410i \(0.422373\pi\)
\(464\) 37.7760 8.31513i 1.75371 0.386020i
\(465\) 1.77900 6.40738i 0.0824992 0.297135i
\(466\) 25.2051 15.1654i 1.16760 0.702524i
\(467\) −14.9359 + 6.91008i −0.691150 + 0.319760i −0.733834 0.679328i \(-0.762271\pi\)
0.0426839 + 0.999089i \(0.486409\pi\)
\(468\) −7.86317 + 19.7351i −0.363475 + 0.912253i
\(469\) −0.695929 + 12.8357i −0.0321350 + 0.592696i
\(470\) −14.3499 21.1646i −0.661913 0.976249i
\(471\) 22.8417 1.05249
\(472\) −40.6757 + 4.92560i −1.87225 + 0.226719i
\(473\) 23.9887 1.10300
\(474\) 2.60148 + 3.83690i 0.119490 + 0.176235i
\(475\) −0.446143 + 8.22863i −0.0204704 + 0.377555i
\(476\) −29.8685 + 74.9642i −1.36902 + 3.43598i
\(477\) 7.63625 3.53291i 0.349640 0.161761i
\(478\) 12.5780 7.56795i 0.575306 0.346150i
\(479\) 5.25047 18.9105i 0.239900 0.864041i −0.741320 0.671151i \(-0.765800\pi\)
0.981220 0.192890i \(-0.0617861\pi\)
\(480\) −2.70121 + 0.594580i −0.123293 + 0.0271388i
\(481\) −34.3864 3.73974i −1.56788 0.170518i
\(482\) 18.7757 + 11.2970i 0.855210 + 0.514563i
\(483\) −1.11735 + 1.05841i −0.0508410 + 0.0481592i
\(484\) −10.0067 4.62958i −0.454849 0.210436i
\(485\) −24.0070 + 2.61091i −1.09010 + 0.118556i
\(486\) −2.35026 + 0.791895i −0.106610 + 0.0359211i
\(487\) 9.74606 + 24.4608i 0.441636 + 1.10842i 0.966370 + 0.257156i \(0.0827856\pi\)
−0.524734 + 0.851266i \(0.675835\pi\)
\(488\) 31.4794 + 29.8189i 1.42501 + 1.34984i
\(489\) 4.28530 + 15.4342i 0.193788 + 0.697961i
\(490\) −13.0338 24.5844i −0.588808 1.11061i
\(491\) −27.0463 + 20.5600i −1.22058 + 0.927861i −0.998883 0.0472546i \(-0.984953\pi\)
−0.221697 + 0.975116i \(0.571160\pi\)
\(492\) 1.74465 + 32.1782i 0.0786551 + 1.45071i
\(493\) 39.6574 + 13.3621i 1.78608 + 0.601800i
\(494\) 55.9347 + 12.3122i 2.51662 + 0.553950i
\(495\) −2.41039 + 4.54647i −0.108339 + 0.204349i
\(496\) 2.97574 + 18.1512i 0.133614 + 0.815012i
\(497\) −36.2316 + 42.6551i −1.62521 + 1.91334i
\(498\) 13.9001 + 16.3644i 0.622877 + 0.733308i
\(499\) 1.08392 6.61160i 0.0485228 0.295976i −0.951406 0.307940i \(-0.900360\pi\)
0.999928 + 0.0119646i \(0.00380853\pi\)
\(500\) 40.1852 + 30.5480i 1.79713 + 1.36615i
\(501\) 10.6374 15.6889i 0.475242 0.700930i
\(502\) 19.7608 29.1450i 0.881967 1.30080i
\(503\) 2.56144 + 1.94715i 0.114209 + 0.0868193i 0.660720 0.750633i \(-0.270251\pi\)
−0.546511 + 0.837452i \(0.684044\pi\)
\(504\) 3.14697 19.1956i 0.140177 0.855042i
\(505\) 6.86701 + 8.08447i 0.305578 + 0.359754i
\(506\) −1.95736 + 2.30439i −0.0870154 + 0.102442i
\(507\) −2.13453 13.0201i −0.0947980 0.578242i
\(508\) 22.1846 41.8445i 0.984281 1.85655i
\(509\) −16.3996 3.60984i −0.726902 0.160003i −0.163921 0.986473i \(-0.552414\pi\)
−0.562980 + 0.826470i \(0.690345\pi\)
\(510\) −22.3214 7.52095i −0.988408 0.333033i
\(511\) 1.96270 + 36.1998i 0.0868246 + 1.60139i
\(512\) −35.7602 + 27.1842i −1.58039 + 1.20138i
\(513\) 2.11356 + 3.98659i 0.0933158 + 0.176012i
\(514\) −5.93032 21.3591i −0.261575 0.942108i
\(515\) 12.1814 + 11.5388i 0.536777 + 0.508462i
\(516\) −12.7592 32.0233i −0.561694 1.40975i
\(517\) 15.8425 5.33795i 0.696752 0.234763i
\(518\) 60.7638 6.60846i 2.66981 0.290359i
\(519\) 18.2571 + 8.44665i 0.801399 + 0.370767i
\(520\) 35.3090 33.4465i 1.54840 1.46673i
\(521\) −30.7350 18.4926i −1.34653 0.810177i −0.354360 0.935109i \(-0.615301\pi\)
−0.992165 + 0.124932i \(0.960129\pi\)
\(522\) −19.3537 2.10484i −0.847088 0.0921264i
\(523\) 5.59659 1.23190i 0.244722 0.0538674i −0.0909155 0.995859i \(-0.528979\pi\)
0.335637 + 0.941991i \(0.391048\pi\)
\(524\) −0.0479646 + 0.172753i −0.00209534 + 0.00754674i
\(525\) −5.70658 + 3.43354i −0.249056 + 0.149852i
\(526\) −27.5970 + 12.7677i −1.20329 + 0.556700i
\(527\) −7.36566 + 18.4864i −0.320853 + 0.805281i
\(528\) 0.770600 14.2129i 0.0335361 0.618536i
\(529\) 12.8073 + 18.8894i 0.556841 + 0.821279i
\(530\) −37.1746 −1.61476
\(531\) 7.52112 + 1.55975i 0.326389 + 0.0676875i
\(532\) −68.2991 −2.96114
\(533\) −22.2984 32.8877i −0.965851 1.42452i
\(534\) 0.571898 10.5480i 0.0247485 0.456459i
\(535\) 4.52325 11.3525i 0.195557 0.490811i
\(536\) 17.0654 7.89529i 0.737112 0.341024i
\(537\) 12.2387 7.36380i 0.528140 0.317772i
\(538\) −9.92217 + 35.7364i −0.427775 + 1.54071i
\(539\) 17.7666 3.91072i 0.765261 0.168447i
\(540\) 7.35127 + 0.799498i 0.316348 + 0.0344049i
\(541\) −12.9787 7.80902i −0.557997 0.335736i 0.208460 0.978031i \(-0.433155\pi\)
−0.766458 + 0.642295i \(0.777982\pi\)
\(542\) 50.8356 48.1540i 2.18357 2.06839i
\(543\) 7.32135 + 3.38722i 0.314189 + 0.145359i
\(544\) 8.22849 0.894902i 0.352793 0.0383686i
\(545\) 27.7249 9.34162i 1.18761 0.400151i
\(546\) 17.1326 + 42.9995i 0.733206 + 1.84021i
\(547\) −26.2451 24.8606i −1.12216 1.06296i −0.997493 0.0707656i \(-0.977456\pi\)
−0.124665 0.992199i \(-0.539786\pi\)
\(548\) −4.69932 16.9254i −0.200745 0.723019i
\(549\) −3.80757 7.18184i −0.162503 0.306514i
\(550\) −10.4156 + 7.91776i −0.444124 + 0.337614i
\(551\) 1.91756 + 35.3674i 0.0816909 + 1.50670i
\(552\) 2.13344 + 0.718841i 0.0908054 + 0.0305959i
\(553\) 6.65679 + 1.46527i 0.283076 + 0.0623097i
\(554\) −37.4923 + 70.7180i −1.59290 + 3.00452i
\(555\) 1.94783 + 11.8813i 0.0826809 + 0.504331i
\(556\) 20.2233 23.8088i 0.857661 1.00972i
\(557\) −0.890835 1.04877i −0.0377459 0.0444379i 0.742965 0.669330i \(-0.233419\pi\)
−0.780711 + 0.624892i \(0.785143\pi\)
\(558\) 1.49769 9.13549i 0.0634022 0.386736i
\(559\) 33.8370 + 25.7222i 1.43115 + 1.08793i
\(560\) −17.9648 + 26.4960i −0.759150 + 1.11966i
\(561\) 8.64193 12.7459i 0.364863 0.538132i
\(562\) 0.375306 + 0.285300i 0.0158313 + 0.0120347i
\(563\) 0.245399 1.49687i 0.0103423 0.0630855i −0.981151 0.193242i \(-0.938100\pi\)
0.991493 + 0.130157i \(0.0415480\pi\)
\(564\) −15.5522 18.3094i −0.654864 0.770966i
\(565\) 0.381476 0.449108i 0.0160488 0.0188941i
\(566\) 9.13929 + 55.7472i 0.384153 + 2.34323i
\(567\) −1.70811 + 3.22184i −0.0717340 + 0.135305i
\(568\) 79.9516 + 17.5987i 3.35470 + 0.738425i
\(569\) −12.0747 4.06843i −0.506197 0.170558i 0.0546044 0.998508i \(-0.482610\pi\)
−0.560801 + 0.827951i \(0.689507\pi\)
\(570\) −1.07931 19.9067i −0.0452074 0.833802i
\(571\) 9.27624 7.05161i 0.388198 0.295101i −0.392812 0.919619i \(-0.628498\pi\)
0.781010 + 0.624518i \(0.214705\pi\)
\(572\) 28.7434 + 54.2158i 1.20182 + 2.26688i
\(573\) −2.67577 9.63725i −0.111782 0.402602i
\(574\) 50.9752 + 48.2862i 2.12766 + 2.01543i
\(575\) −0.285300 0.716048i −0.0118978 0.0298613i
\(576\) 5.69047 1.91734i 0.237103 0.0798893i
\(577\) −31.8875 + 3.46798i −1.32749 + 0.144374i −0.744238 0.667914i \(-0.767187\pi\)
−0.583256 + 0.812288i \(0.698222\pi\)
\(578\) 25.7082 + 11.8939i 1.06932 + 0.494720i
\(579\) −14.0136 + 13.2744i −0.582387 + 0.551666i
\(580\) 49.7365 + 29.9254i 2.06519 + 1.24259i
\(581\) 31.3853 + 3.41336i 1.30208 + 0.141610i
\(582\) −32.8323 + 7.22693i −1.36094 + 0.299566i
\(583\) 6.50201 23.4181i 0.269286 0.969879i
\(584\) 45.4391 27.3398i 1.88029 1.13133i
\(585\) −8.27494 + 3.82839i −0.342127 + 0.158285i
\(586\) −5.20932 + 13.0744i −0.215195 + 0.540098i
\(587\) 0.920205 16.9722i 0.0379809 0.700517i −0.916097 0.400957i \(-0.868678\pi\)
0.954078 0.299559i \(-0.0968397\pi\)
\(588\) −14.6703 21.6371i −0.604994 0.892299i
\(589\) −16.8428 −0.693995
\(590\) −27.2651 20.2073i −1.12249 0.831923i
\(591\) 2.48756 0.102325
\(592\) −18.6890 27.5643i −0.768115 1.13288i
\(593\) 0.897155 16.5470i 0.0368417 0.679506i −0.920534 0.390662i \(-0.872246\pi\)
0.957376 0.288844i \(-0.0932709\pi\)
\(594\) −2.65161 + 6.65505i −0.108797 + 0.273060i
\(595\) −31.4326 + 14.5423i −1.28861 + 0.596175i
\(596\) 0.696294 0.418946i 0.0285213 0.0171607i
\(597\) 1.70535 6.14211i 0.0697953 0.251380i
\(598\) −5.23183 + 1.15161i −0.213946 + 0.0470930i
\(599\) −12.4953 1.35895i −0.510544 0.0555250i −0.150778 0.988568i \(-0.548178\pi\)
−0.359766 + 0.933043i \(0.617143\pi\)
\(600\) 8.34745 + 5.02249i 0.340783 + 0.205042i
\(601\) 22.5688 21.3783i 0.920600 0.872039i −0.0715061 0.997440i \(-0.522781\pi\)
0.992106 + 0.125402i \(0.0400219\pi\)
\(602\) −68.1662 31.5370i −2.77825 1.28535i
\(603\) −3.50437 + 0.381123i −0.142709 + 0.0155205i
\(604\) 20.7392 6.98784i 0.843865 0.284331i
\(605\) −1.75154 4.39603i −0.0712101 0.178724i
\(606\) 10.7207 + 10.1552i 0.435498 + 0.412526i
\(607\) −6.28509 22.6369i −0.255104 0.918802i −0.974535 0.224237i \(-0.928011\pi\)
0.719430 0.694564i \(-0.244403\pi\)
\(608\) 3.28143 + 6.18944i 0.133080 + 0.251015i
\(609\) −22.7880 + 17.3230i −0.923418 + 0.701964i
\(610\) 1.94438 + 35.8620i 0.0787257 + 1.45201i
\(611\) 28.0701 + 9.45790i 1.13559 + 0.382626i
\(612\) −21.6114 4.75703i −0.873589 0.192291i
\(613\) 6.11091 11.5264i 0.246817 0.465547i −0.728888 0.684633i \(-0.759963\pi\)
0.975706 + 0.219086i \(0.0703075\pi\)
\(614\) −4.60111 28.0655i −0.185686 1.13263i
\(615\) −8.95389 + 10.5413i −0.361056 + 0.425068i
\(616\) −36.3752 42.8242i −1.46560 1.72544i
\(617\) −7.81670 + 47.6798i −0.314688 + 1.91951i 0.0722036 + 0.997390i \(0.476997\pi\)
−0.386892 + 0.922125i \(0.626451\pi\)
\(618\) 18.5957 + 14.1361i 0.748028 + 0.568636i
\(619\) −2.53045 + 3.73213i −0.101707 + 0.150007i −0.875137 0.483875i \(-0.839229\pi\)
0.773430 + 0.633882i \(0.218539\pi\)
\(620\) −15.4899 + 22.8458i −0.622088 + 0.917511i
\(621\) −0.335989 0.255412i −0.0134828 0.0102494i
\(622\) 5.34797 32.6212i 0.214434 1.30799i
\(623\) −10.0554 11.8381i −0.402860 0.474284i
\(624\) 16.3269 19.2215i 0.653598 0.769475i
\(625\) 2.02761 + 12.3679i 0.0811046 + 0.494716i
\(626\) 17.4506 32.9154i 0.697467 1.31556i
\(627\) 12.7290 + 2.80187i 0.508348 + 0.111896i
\(628\) −89.8485 30.2735i −3.58535 1.20804i
\(629\) −1.95062 35.9771i −0.0777763 1.43450i
\(630\) 12.8264 9.75037i 0.511015 0.388464i
\(631\) −1.46307 2.75963i −0.0582437 0.109859i 0.852681 0.522432i \(-0.174975\pi\)
−0.910925 + 0.412573i \(0.864630\pi\)
\(632\) −2.66739 9.60707i −0.106103 0.382149i
\(633\) −16.9085 16.0166i −0.672052 0.636601i
\(634\) −2.68040 6.72731i −0.106452 0.267176i
\(635\) 19.2630 6.49046i 0.764429 0.257566i
\(636\) −34.7199 + 3.77601i −1.37673 + 0.149729i
\(637\) 29.2537 + 13.5342i 1.15907 + 0.536245i
\(638\) −40.8255 + 38.6719i −1.61630 + 1.53104i
\(639\) −13.1504 7.91235i −0.520223 0.313008i
\(640\) −31.8744 3.46655i −1.25995 0.137027i
\(641\) −17.0566 + 3.75444i −0.673694 + 0.148291i −0.538626 0.842545i \(-0.681056\pi\)
−0.135068 + 0.990836i \(0.543125\pi\)
\(642\) 4.55136 16.3925i 0.179628 0.646961i
\(643\) 22.8330 13.7382i 0.900447 0.541781i 0.0115730 0.999933i \(-0.496316\pi\)
0.888874 + 0.458152i \(0.151489\pi\)
\(644\) 5.79789 2.68239i 0.228469 0.105701i
\(645\) 5.47613 13.7440i 0.215622 0.541171i
\(646\) −3.22990 + 59.5719i −0.127079 + 2.34383i
\(647\) 1.05010 + 1.54878i 0.0412835 + 0.0608887i 0.847771 0.530363i \(-0.177944\pi\)
−0.806487 + 0.591252i \(0.798634\pi\)
\(648\) 5.33421 0.209547
\(649\) 17.4984 13.6413i 0.686872 0.535468i
\(650\) −23.1815 −0.909254
\(651\) −7.63879 11.2664i −0.299388 0.441564i
\(652\) 3.59960 66.3907i 0.140971 2.60006i
\(653\) −14.4668 + 36.3090i −0.566130 + 1.42088i 0.315494 + 0.948928i \(0.397830\pi\)
−0.881624 + 0.471952i \(0.843550\pi\)
\(654\) 36.9648 17.1017i 1.44544 0.668731i
\(655\) −0.0659338 + 0.0396710i −0.00257624 + 0.00155008i
\(656\) 10.2347 36.8621i 0.399598 1.43922i
\(657\) −9.70907 + 2.13713i −0.378787 + 0.0833773i
\(658\) −52.0354 5.65919i −2.02855 0.220618i
\(659\) −18.2643 10.9892i −0.711475 0.428080i 0.113286 0.993562i \(-0.463862\pi\)
−0.824760 + 0.565482i \(0.808690\pi\)
\(660\) 15.5071 14.6891i 0.603611 0.571771i
\(661\) 15.3739 + 7.11271i 0.597974 + 0.276652i 0.695437 0.718587i \(-0.255211\pi\)
−0.0974632 + 0.995239i \(0.531073\pi\)
\(662\) 0.769014 0.0836353i 0.0298886 0.00325058i
\(663\) 25.8567 8.71213i 1.00419 0.338351i
\(664\) −17.0931 42.9005i −0.663341 1.66486i
\(665\) −21.2813 20.1587i −0.825252 0.781720i
\(666\) 4.48411 + 16.1503i 0.173756 + 0.625811i
\(667\) −1.55181 2.92702i −0.0600862 0.113335i
\(668\) −62.6360 + 47.6146i −2.42346 + 1.84227i
\(669\) 0.0531527 + 0.980344i 0.00205500 + 0.0379023i
\(670\) 14.7591 + 4.97293i 0.570195 + 0.192121i
\(671\) −22.9313 5.04757i −0.885254 0.194859i
\(672\) −2.65196 + 5.00212i −0.102302 + 0.192961i
\(673\) 5.77187 + 35.2069i 0.222489 + 1.35713i 0.827750 + 0.561098i \(0.189621\pi\)
−0.605260 + 0.796028i \(0.706931\pi\)
\(674\) 21.1226 24.8675i 0.813612 0.957859i
\(675\) −1.18233 1.39195i −0.0455079 0.0535761i
\(676\) −8.86006 + 54.0440i −0.340771 + 2.07861i
\(677\) −5.35534 4.07103i −0.205823 0.156462i 0.497185 0.867644i \(-0.334367\pi\)
−0.703008 + 0.711182i \(0.748160\pi\)
\(678\) 0.460358 0.678977i 0.0176799 0.0260760i
\(679\) −27.7401 + 40.9136i −1.06457 + 1.57012i
\(680\) 40.3310 + 30.6588i 1.54662 + 1.17571i
\(681\) 0.731486 4.46187i 0.0280306 0.170979i
\(682\) −17.3115 20.3807i −0.662891 0.780416i
\(683\) −26.0274 + 30.6418i −0.995909 + 1.17247i −0.0109054 + 0.999941i \(0.503471\pi\)
−0.985004 + 0.172534i \(0.944804\pi\)
\(684\) −3.03007 18.4826i −0.115858 0.706701i
\(685\) 3.53133 6.66080i 0.134925 0.254496i
\(686\) 6.20098 + 1.36494i 0.236754 + 0.0521136i
\(687\) 2.62807 + 0.885501i 0.100267 + 0.0337840i
\(688\) 2.21552 + 40.8630i 0.0844661 + 1.55789i
\(689\) 34.2816 26.0602i 1.30603 0.992815i
\(690\) 0.873443 + 1.64749i 0.0332514 + 0.0627188i
\(691\) 2.32689 + 8.38069i 0.0885190 + 0.318817i 0.994532 0.104434i \(-0.0333030\pi\)
−0.906013 + 0.423250i \(0.860889\pi\)
\(692\) −60.6202 57.4225i −2.30443 2.18288i
\(693\) 3.89884 + 9.78536i 0.148105 + 0.371715i
\(694\) −37.6391 + 12.6821i −1.42876 + 0.481405i
\(695\) 13.3286 1.44957i 0.505582 0.0549854i
\(696\) 38.0017 + 17.5815i 1.44045 + 0.666424i
\(697\) 30.0485 28.4635i 1.13817 1.07813i
\(698\) −63.9247 38.4622i −2.41958 1.45582i
\(699\) 11.7913 + 1.28238i 0.445986 + 0.0485039i
\(700\) 26.9977 5.94265i 1.02042 0.224611i
\(701\) 2.95516 10.6435i 0.111615 0.402000i −0.886545 0.462643i \(-0.846901\pi\)
0.998160 + 0.0606425i \(0.0193150\pi\)
\(702\) −10.8761 + 6.54396i −0.410493 + 0.246986i
\(703\) 27.6765 12.8045i 1.04384 0.482932i
\(704\) 6.42011 16.1133i 0.241967 0.607291i
\(705\) 0.558194 10.2953i 0.0210228 0.387743i
\(706\) 9.81393 + 14.4745i 0.369352 + 0.544754i
\(707\) 21.7127 0.816591
\(708\) −27.5173 16.1035i −1.03416 0.605208i
\(709\) 29.7115 1.11584 0.557919 0.829895i \(-0.311600\pi\)
0.557919 + 0.829895i \(0.311600\pi\)
\(710\) 38.0529 + 56.1238i 1.42810 + 2.10629i
\(711\) −0.101194 + 1.86642i −0.00379509 + 0.0699963i
\(712\) −8.40963 + 21.1066i −0.315164 + 0.791002i
\(713\) 1.42978 0.661486i 0.0535457 0.0247729i
\(714\) −41.3133 + 24.8574i −1.54611 + 0.930265i
\(715\) −7.04582 + 25.3768i −0.263499 + 0.949037i
\(716\) −57.9012 + 12.7450i −2.16387 + 0.476304i
\(717\) 5.88416 + 0.639941i 0.219748 + 0.0238990i
\(718\) −27.1897 16.3595i −1.01471 0.610532i
\(719\) 28.0882 26.6066i 1.04751 0.992257i 0.0475348 0.998870i \(-0.484864\pi\)
0.999978 + 0.00661265i \(0.00210489\pi\)
\(720\) −7.96717 3.68601i −0.296919 0.137369i
\(721\) 34.1445 3.71344i 1.27161 0.138296i
\(722\) −3.19641 + 1.07700i −0.118958 + 0.0400817i
\(723\) 3.27028 + 8.20779i 0.121623 + 0.305251i
\(724\) −24.3095 23.0272i −0.903455 0.855798i
\(725\) −3.83527 13.8134i −0.142438 0.513017i
\(726\) −3.08578 5.82040i −0.114524 0.216015i
\(727\) 4.41902 3.35925i 0.163893 0.124588i −0.520013 0.854158i \(-0.674073\pi\)
0.683906 + 0.729570i \(0.260280\pi\)
\(728\) −5.38979 99.4087i −0.199759 3.68433i
\(729\) −0.947653 0.319302i −0.0350983 0.0118260i
\(730\) 42.8969 + 9.44232i 1.58769 + 0.349476i
\(731\) −20.7384 + 39.1168i −0.767038 + 1.44679i
\(732\) 5.45867 + 33.2964i 0.201758 + 1.23067i
\(733\) 14.9145 17.5587i 0.550881 0.648547i −0.414297 0.910142i \(-0.635973\pi\)
0.965178 + 0.261595i \(0.0842484\pi\)
\(734\) 15.7839 + 18.5822i 0.582593 + 0.685881i
\(735\) 1.81514 11.0719i 0.0669525 0.408392i
\(736\) −0.521646 0.396545i −0.0192281 0.0146168i
\(737\) −5.71414 + 8.42773i −0.210483 + 0.310439i
\(738\) −10.8054 + 15.9368i −0.397752 + 0.586640i
\(739\) −7.25580 5.51572i −0.266909 0.202899i 0.463156 0.886277i \(-0.346717\pi\)
−0.730065 + 0.683378i \(0.760510\pi\)
\(740\) 8.08510 49.3169i 0.297214 1.81293i
\(741\) 14.9504 + 17.6010i 0.549216 + 0.646588i
\(742\) −49.2629 + 57.9967i −1.80850 + 2.12913i
\(743\) −0.580891 3.54328i −0.0213108 0.129990i 0.974028 0.226426i \(-0.0727041\pi\)
−0.995339 + 0.0964355i \(0.969256\pi\)
\(744\) −9.32651 + 17.5917i −0.341926 + 0.644942i
\(745\) 0.340611 + 0.0749741i 0.0124790 + 0.00274684i
\(746\) 72.0498 + 24.2764i 2.63793 + 0.888822i
\(747\) 0.468702 + 8.64470i 0.0171489 + 0.316293i
\(748\) −50.8863 + 38.6827i −1.86059 + 1.41438i
\(749\) −11.7171 22.1009i −0.428135 0.807548i
\(750\) 8.06872 + 29.0609i 0.294628 + 1.06115i
\(751\) 5.88520 + 5.57476i 0.214754 + 0.203426i 0.787513 0.616298i \(-0.211368\pi\)
−0.572759 + 0.819724i \(0.694127\pi\)
\(752\) 10.5560 + 26.4934i 0.384936 + 0.966116i
\(753\) 13.4549 4.53348i 0.490323 0.165209i
\(754\) −99.0522 + 10.7726i −3.60727 + 0.392314i
\(755\) 8.52458 + 3.94389i 0.310241 + 0.143533i
\(756\) 10.9890 10.4094i 0.399667 0.378585i
\(757\) −13.6697 8.22481i −0.496835 0.298936i 0.244994 0.969525i \(-0.421214\pi\)
−0.741829 + 0.670589i \(0.766042\pi\)
\(758\) 46.0855 + 5.01210i 1.67390 + 0.182048i
\(759\) −1.19060 + 0.262072i −0.0432162 + 0.00951260i
\(760\) −11.4712 + 41.3157i −0.416106 + 1.49868i
\(761\) 31.2886 18.8258i 1.13421 0.682433i 0.180626 0.983552i \(-0.442188\pi\)
0.953587 + 0.301119i \(0.0973601\pi\)
\(762\) 25.6828 11.8821i 0.930388 0.430443i
\(763\) 22.1664 55.6335i 0.802478 2.01407i
\(764\) −2.24761 + 41.4548i −0.0813158 + 1.49978i
\(765\) −5.32983 7.86090i −0.192700 0.284212i
\(766\) −20.2563 −0.731891
\(767\) 39.3092 0.478693i 1.41937 0.0172846i
\(768\) −32.6258 −1.17728
\(769\) −1.37892 2.03376i −0.0497253 0.0733393i 0.802014 0.597306i \(-0.203762\pi\)
−0.851739 + 0.523966i \(0.824452\pi\)
\(770\) 2.51959 46.4711i 0.0907997 1.67470i
\(771\) 3.30831 8.30322i 0.119146 0.299033i
\(772\) 72.7165 33.6422i 2.61713 1.21081i
\(773\) 12.7174 7.65178i 0.457412