Properties

Label 175.2.x.a.103.14
Level $175$
Weight $2$
Character 175.103
Analytic conductor $1.397$
Analytic rank $0$
Dimension $288$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 175 = 5^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 175.x (of order \(60\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.39738203537\)
Analytic rank: \(0\)
Dimension: \(288\)
Relative dimension: \(18\) over \(\Q(\zeta_{60})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label 103.14
Character \(\chi\) \(=\) 175.103
Dual form 175.2.x.a.17.14

$q$-expansion

\(f(q)\) \(=\) \(q+(1.58403 + 0.0830157i) q^{2} +(1.23343 + 1.52315i) q^{3} +(0.513230 + 0.0539426i) q^{4} +(-0.221909 - 2.22503i) q^{5} +(1.82734 + 2.51512i) q^{6} +(1.63042 + 2.08368i) q^{7} +(-2.32486 - 0.368222i) q^{8} +(-0.174924 + 0.822951i) q^{9} +O(q^{10})\) \(q+(1.58403 + 0.0830157i) q^{2} +(1.23343 + 1.52315i) q^{3} +(0.513230 + 0.0539426i) q^{4} +(-0.221909 - 2.22503i) q^{5} +(1.82734 + 2.51512i) q^{6} +(1.63042 + 2.08368i) q^{7} +(-2.32486 - 0.368222i) q^{8} +(-0.174924 + 0.822951i) q^{9} +(-0.166798 - 3.54295i) q^{10} +(-2.03775 + 0.433137i) q^{11} +(0.550868 + 0.848262i) q^{12} +(-1.94768 - 0.992394i) q^{13} +(2.40967 + 3.43597i) q^{14} +(3.11535 - 3.08241i) q^{15} +(-4.66165 - 0.990865i) q^{16} +(1.81551 + 4.72957i) q^{17} +(-0.345403 + 1.28906i) q^{18} +(-0.785987 - 7.47816i) q^{19} +(0.00613384 - 1.15392i) q^{20} +(-1.16276 + 5.05345i) q^{21} +(-3.26382 + 0.516939i) q^{22} +(-0.105109 + 2.00560i) q^{23} +(-2.30669 - 3.99530i) q^{24} +(-4.90151 + 0.987506i) q^{25} +(-3.00281 - 1.73368i) q^{26} +(3.76970 - 1.92076i) q^{27} +(0.724382 + 1.15736i) q^{28} +(-4.12547 + 5.67823i) q^{29} +(5.19072 - 4.62402i) q^{30} +(2.58369 - 5.80306i) q^{31} +(-2.75469 - 0.738117i) q^{32} +(-3.17315 - 2.56957i) q^{33} +(2.48320 + 7.64252i) q^{34} +(4.27444 - 4.09013i) q^{35} +(-0.134168 + 0.412927i) q^{36} +(2.22067 - 1.44212i) q^{37} +(-0.624225 - 11.9109i) q^{38} +(-0.890754 - 4.19067i) q^{39} +(-0.303398 + 5.25460i) q^{40} +(8.47974 - 2.75523i) q^{41} +(-2.26137 + 7.90831i) q^{42} +(0.986332 + 0.986332i) q^{43} +(-1.06920 + 0.112377i) q^{44} +(1.86991 + 0.206590i) q^{45} +(-0.332993 + 3.16821i) q^{46} +(2.45276 + 0.941527i) q^{47} +(-4.24056 - 8.32258i) q^{48} +(-1.68344 + 6.79456i) q^{49} +(-7.84614 + 1.15734i) q^{50} +(-4.96456 + 8.59887i) q^{51} +(-0.946077 - 0.614389i) q^{52} +(-7.17828 + 5.81286i) q^{53} +(6.13079 - 2.72960i) q^{54} +(1.41594 + 4.43794i) q^{55} +(-3.02325 - 5.44463i) q^{56} +(10.4209 - 10.4209i) q^{57} +(-7.00627 + 8.65203i) q^{58} +(-7.04085 + 7.81965i) q^{59} +(1.76517 - 1.41393i) q^{60} +(-6.37468 + 5.73979i) q^{61} +(4.57440 - 8.97777i) q^{62} +(-1.99997 + 0.977274i) q^{63} +(4.76284 + 1.54754i) q^{64} +(-1.77590 + 4.55387i) q^{65} +(-4.81306 - 4.33370i) q^{66} +(3.06559 - 1.17677i) q^{67} +(0.676649 + 2.52529i) q^{68} +(-3.18448 + 2.31366i) q^{69} +(7.11041 - 6.12405i) q^{70} +(5.41526 + 3.93442i) q^{71} +(0.709703 - 1.84884i) q^{72} +(4.51023 - 6.94515i) q^{73} +(3.63734 - 2.10002i) q^{74} +(-7.54978 - 6.24774i) q^{75} -3.88041i q^{76} +(-4.22492 - 3.53982i) q^{77} +(-1.06309 - 6.71211i) q^{78} +(1.08662 + 2.44058i) q^{79} +(-1.17024 + 10.5922i) q^{80} +(9.88106 + 4.39933i) q^{81} +(13.6609 - 3.66043i) q^{82} +(0.456772 - 2.88395i) q^{83} +(-0.869359 + 2.53086i) q^{84} +(10.1206 - 5.08910i) q^{85} +(1.48050 + 1.64427i) q^{86} +(-13.7373 + 0.719940i) q^{87} +(4.89698 - 0.256640i) q^{88} +(8.47306 + 9.41028i) q^{89} +(2.94485 + 0.482478i) q^{90} +(-1.10772 - 5.67637i) q^{91} +(-0.162132 + 1.02366i) q^{92} +(12.0258 - 3.22229i) q^{93} +(3.80710 + 1.69503i) q^{94} +(-16.4647 + 3.40831i) q^{95} +(-2.27344 - 5.10623i) q^{96} +(0.527619 + 3.33125i) q^{97} +(-3.23068 + 10.6231i) q^{98} -1.75274i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 288q - 8q^{2} - 24q^{3} - 10q^{4} - 30q^{5} - 10q^{7} - 36q^{8} - 10q^{9} + O(q^{10}) \) \( 288q - 8q^{2} - 24q^{3} - 10q^{4} - 30q^{5} - 10q^{7} - 36q^{8} - 10q^{9} - 36q^{10} - 6q^{11} - 36q^{12} - 20q^{14} - 28q^{15} - 30q^{16} - 42q^{17} - 14q^{18} - 30q^{19} - 12q^{21} + 32q^{22} - 40q^{23} + 2q^{25} - 48q^{26} + 22q^{28} - 58q^{30} - 18q^{31} + 8q^{32} - 30q^{33} - 2q^{35} + 40q^{36} - 10q^{37} + 72q^{38} + 30q^{39} - 48q^{40} + 6q^{42} - 108q^{43} - 10q^{44} + 186q^{45} - 6q^{46} - 54q^{47} - 248q^{50} - 16q^{51} + 216q^{52} + 50q^{53} - 30q^{54} + 4q^{56} - 216q^{57} - 4q^{58} + 90q^{59} + 96q^{60} - 18q^{61} - 66q^{63} - 100q^{64} + 14q^{65} - 90q^{66} + 4q^{67} + 342q^{68} - 60q^{70} - 24q^{71} + 58q^{72} - 6q^{73} + 216q^{75} - 80q^{77} - 132q^{78} - 10q^{79} - 6q^{80} - 10q^{81} + 216q^{82} + 20q^{84} - 48q^{85} - 6q^{86} - 48q^{87} - 122q^{88} + 120q^{89} - 12q^{91} - 4q^{92} + 106q^{93} - 30q^{94} - 98q^{95} - 90q^{96} + 222q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{7}{20}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.58403 + 0.0830157i 1.12008 + 0.0587010i 0.603372 0.797460i \(-0.293823\pi\)
0.516709 + 0.856161i \(0.327157\pi\)
\(3\) 1.23343 + 1.52315i 0.712119 + 0.879393i 0.996858 0.0792117i \(-0.0252403\pi\)
−0.284739 + 0.958605i \(0.591907\pi\)
\(4\) 0.513230 + 0.0539426i 0.256615 + 0.0269713i
\(5\) −0.221909 2.22503i −0.0992405 0.995063i
\(6\) 1.82734 + 2.51512i 0.746010 + 1.02679i
\(7\) 1.63042 + 2.08368i 0.616242 + 0.787557i
\(8\) −2.32486 0.368222i −0.821963 0.130186i
\(9\) −0.174924 + 0.822951i −0.0583079 + 0.274317i
\(10\) −0.166798 3.54295i −0.0527463 1.12038i
\(11\) −2.03775 + 0.433137i −0.614405 + 0.130596i −0.504594 0.863357i \(-0.668358\pi\)
−0.109811 + 0.993953i \(0.535025\pi\)
\(12\) 0.550868 + 0.848262i 0.159022 + 0.244872i
\(13\) −1.94768 0.992394i −0.540190 0.275241i 0.162534 0.986703i \(-0.448033\pi\)
−0.702724 + 0.711462i \(0.748033\pi\)
\(14\) 2.40967 + 3.43597i 0.644011 + 0.918302i
\(15\) 3.11535 3.08241i 0.804381 0.795875i
\(16\) −4.66165 0.990865i −1.16541 0.247716i
\(17\) 1.81551 + 4.72957i 0.440326 + 1.14709i 0.956790 + 0.290780i \(0.0939147\pi\)
−0.516464 + 0.856309i \(0.672752\pi\)
\(18\) −0.345403 + 1.28906i −0.0814123 + 0.303835i
\(19\) −0.785987 7.47816i −0.180318 1.71561i −0.593394 0.804912i \(-0.702212\pi\)
0.413076 0.910696i \(-0.364454\pi\)
\(20\) 0.00613384 1.15392i 0.00137157 0.258025i
\(21\) −1.16276 + 5.05345i −0.253735 + 1.10275i
\(22\) −3.26382 + 0.516939i −0.695850 + 0.110212i
\(23\) −0.105109 + 2.00560i −0.0219167 + 0.418196i 0.965535 + 0.260274i \(0.0838129\pi\)
−0.987452 + 0.157922i \(0.949520\pi\)
\(24\) −2.30669 3.99530i −0.470851 0.815537i
\(25\) −4.90151 + 0.987506i −0.980303 + 0.197501i
\(26\) −3.00281 1.73368i −0.588900 0.340002i
\(27\) 3.76970 1.92076i 0.725479 0.369650i
\(28\) 0.724382 + 1.15736i 0.136895 + 0.218720i
\(29\) −4.12547 + 5.67823i −0.766081 + 1.05442i 0.230603 + 0.973048i \(0.425930\pi\)
−0.996684 + 0.0813721i \(0.974070\pi\)
\(30\) 5.19072 4.62402i 0.947691 0.844227i
\(31\) 2.58369 5.80306i 0.464045 1.04226i −0.518303 0.855197i \(-0.673436\pi\)
0.982348 0.187064i \(-0.0598972\pi\)
\(32\) −2.75469 0.738117i −0.486965 0.130482i
\(33\) −3.17315 2.56957i −0.552374 0.447304i
\(34\) 2.48320 + 7.64252i 0.425866 + 1.31068i
\(35\) 4.27444 4.09013i 0.722513 0.691357i
\(36\) −0.134168 + 0.412927i −0.0223614 + 0.0688212i
\(37\) 2.22067 1.44212i 0.365076 0.237083i −0.349044 0.937106i \(-0.613494\pi\)
0.714120 + 0.700023i \(0.246827\pi\)
\(38\) −0.624225 11.9109i −0.101263 1.93221i
\(39\) −0.890754 4.19067i −0.142635 0.671044i
\(40\) −0.303398 + 5.25460i −0.0479715 + 0.830825i
\(41\) 8.47974 2.75523i 1.32431 0.430295i 0.440339 0.897832i \(-0.354858\pi\)
0.883974 + 0.467536i \(0.154858\pi\)
\(42\) −2.26137 + 7.90831i −0.348936 + 1.22028i
\(43\) 0.986332 + 0.986332i 0.150414 + 0.150414i 0.778303 0.627889i \(-0.216081\pi\)
−0.627889 + 0.778303i \(0.716081\pi\)
\(44\) −1.06920 + 0.112377i −0.161188 + 0.0169415i
\(45\) 1.86991 + 0.206590i 0.278749 + 0.0307967i
\(46\) −0.332993 + 3.16821i −0.0490971 + 0.467128i
\(47\) 2.45276 + 0.941527i 0.357772 + 0.137336i 0.530614 0.847614i \(-0.321962\pi\)
−0.172842 + 0.984950i \(0.555295\pi\)
\(48\) −4.24056 8.32258i −0.612073 1.20126i
\(49\) −1.68344 + 6.79456i −0.240492 + 0.970651i
\(50\) −7.84614 + 1.15734i −1.10961 + 0.163673i
\(51\) −4.96456 + 8.59887i −0.695178 + 1.20408i
\(52\) −0.946077 0.614389i −0.131197 0.0852005i
\(53\) −7.17828 + 5.81286i −0.986013 + 0.798458i −0.979484 0.201521i \(-0.935412\pi\)
−0.00652896 + 0.999979i \(0.502078\pi\)
\(54\) 6.13079 2.72960i 0.834295 0.371452i
\(55\) 1.41594 + 4.43794i 0.190925 + 0.598412i
\(56\) −3.02325 5.44463i −0.403999 0.727569i
\(57\) 10.4209 10.4209i 1.38029 1.38029i
\(58\) −7.00627 + 8.65203i −0.919969 + 1.13607i
\(59\) −7.04085 + 7.81965i −0.916640 + 1.01803i 0.0831288 + 0.996539i \(0.473509\pi\)
−0.999769 + 0.0214933i \(0.993158\pi\)
\(60\) 1.76517 1.41393i 0.227882 0.182538i
\(61\) −6.37468 + 5.73979i −0.816194 + 0.734904i −0.967306 0.253612i \(-0.918381\pi\)
0.151112 + 0.988517i \(0.451715\pi\)
\(62\) 4.57440 8.97777i 0.580949 1.14018i
\(63\) −1.99997 + 0.977274i −0.251972 + 0.123125i
\(64\) 4.76284 + 1.54754i 0.595355 + 0.193443i
\(65\) −1.77590 + 4.55387i −0.220273 + 0.564839i
\(66\) −4.81306 4.33370i −0.592447 0.533442i
\(67\) 3.06559 1.17677i 0.374521 0.143765i −0.163824 0.986490i \(-0.552383\pi\)
0.538345 + 0.842724i \(0.319050\pi\)
\(68\) 0.676649 + 2.52529i 0.0820558 + 0.306236i
\(69\) −3.18448 + 2.31366i −0.383366 + 0.278532i
\(70\) 7.11041 6.12405i 0.849857 0.731964i
\(71\) 5.41526 + 3.93442i 0.642673 + 0.466930i 0.860768 0.508998i \(-0.169984\pi\)
−0.218094 + 0.975928i \(0.569984\pi\)
\(72\) 0.709703 1.84884i 0.0836393 0.217888i
\(73\) 4.51023 6.94515i 0.527883 0.812868i −0.469666 0.882844i \(-0.655626\pi\)
0.997549 + 0.0699760i \(0.0222923\pi\)
\(74\) 3.63734 2.10002i 0.422832 0.244122i
\(75\) −7.54978 6.24774i −0.871773 0.721427i
\(76\) 3.88041i 0.445114i
\(77\) −4.22492 3.53982i −0.481474 0.403400i
\(78\) −1.06309 6.71211i −0.120372 0.759996i
\(79\) 1.08662 + 2.44058i 0.122254 + 0.274586i 0.964297 0.264824i \(-0.0853138\pi\)
−0.842043 + 0.539410i \(0.818647\pi\)
\(80\) −1.17024 + 10.5922i −0.130837 + 1.18424i
\(81\) 9.88106 + 4.39933i 1.09790 + 0.488814i
\(82\) 13.6609 3.66043i 1.50860 0.404227i
\(83\) 0.456772 2.88395i 0.0501373 0.316554i −0.949855 0.312690i \(-0.898770\pi\)
0.999993 0.00386431i \(-0.00123005\pi\)
\(84\) −0.869359 + 2.53086i −0.0948548 + 0.276139i
\(85\) 10.1206 5.08910i 1.09773 0.551990i
\(86\) 1.48050 + 1.64427i 0.159647 + 0.177306i
\(87\) −13.7373 + 0.719940i −1.47279 + 0.0771857i
\(88\) 4.89698 0.256640i 0.522020 0.0273579i
\(89\) 8.47306 + 9.41028i 0.898142 + 0.997488i 0.999996 + 0.00268884i \(0.000855885\pi\)
−0.101854 + 0.994799i \(0.532477\pi\)
\(90\) 2.94485 + 0.482478i 0.310414 + 0.0508577i
\(91\) −1.10772 5.67637i −0.116120 0.595045i
\(92\) −0.162132 + 1.02366i −0.0169035 + 0.106724i
\(93\) 12.0258 3.22229i 1.24701 0.334136i
\(94\) 3.80710 + 1.69503i 0.392672 + 0.174829i
\(95\) −16.4647 + 3.40831i −1.68924 + 0.349685i
\(96\) −2.27344 5.10623i −0.232032 0.521152i
\(97\) 0.527619 + 3.33125i 0.0535716 + 0.338237i 0.999888 + 0.0149946i \(0.00477310\pi\)
−0.946316 + 0.323243i \(0.895227\pi\)
\(98\) −3.23068 + 10.6231i −0.326348 + 1.07309i
\(99\) 1.75274i 0.176157i
\(100\) −2.56887 + 0.242417i −0.256887 + 0.0242417i
\(101\) −2.45915 + 1.41979i −0.244695 + 0.141275i −0.617333 0.786702i \(-0.711787\pi\)
0.372638 + 0.927977i \(0.378453\pi\)
\(102\) −8.57788 + 13.2088i −0.849337 + 1.30786i
\(103\) 2.61554 6.81372i 0.257717 0.671375i −0.742282 0.670087i \(-0.766257\pi\)
0.999999 0.00128815i \(-0.000410031\pi\)
\(104\) 4.16268 + 3.02436i 0.408184 + 0.296563i
\(105\) 11.5021 + 1.46577i 1.12249 + 0.143044i
\(106\) −11.8532 + 8.61186i −1.15129 + 0.836458i
\(107\) −3.00110 11.2003i −0.290127 1.08277i −0.945011 0.327040i \(-0.893949\pi\)
0.654883 0.755730i \(-0.272718\pi\)
\(108\) 2.03833 0.782443i 0.196139 0.0752906i
\(109\) −7.26460 6.54107i −0.695822 0.626521i 0.243362 0.969936i \(-0.421750\pi\)
−0.939184 + 0.343415i \(0.888416\pi\)
\(110\) 1.87448 + 7.14739i 0.178724 + 0.681477i
\(111\) 4.93560 + 1.60367i 0.468467 + 0.152214i
\(112\) −5.53582 11.3289i −0.523086 1.07048i
\(113\) 4.16132 8.16704i 0.391464 0.768291i −0.608212 0.793775i \(-0.708113\pi\)
0.999675 + 0.0254843i \(0.00811278\pi\)
\(114\) 17.3722 15.6420i 1.62706 1.46501i
\(115\) 4.48584 0.211189i 0.418307 0.0196935i
\(116\) −2.42361 + 2.69170i −0.225027 + 0.249918i
\(117\) 1.15739 1.42926i 0.107001 0.132135i
\(118\) −11.8021 + 11.8021i −1.08647 + 1.08647i
\(119\) −6.89485 + 11.4941i −0.632050 + 1.05367i
\(120\) −8.37779 + 6.01904i −0.764784 + 0.549460i
\(121\) −6.08418 + 2.70885i −0.553107 + 0.246259i
\(122\) −10.5742 + 8.56282i −0.957343 + 0.775241i
\(123\) 14.6558 + 9.51757i 1.32147 + 0.858170i
\(124\) 1.63906 2.83893i 0.147192 0.254944i
\(125\) 3.28492 + 10.6869i 0.293812 + 0.955863i
\(126\) −3.24914 + 1.38201i −0.289457 + 0.123119i
\(127\) 1.11576 + 2.18980i 0.0990074 + 0.194313i 0.935197 0.354127i \(-0.115222\pi\)
−0.836190 + 0.548440i \(0.815222\pi\)
\(128\) 12.7409 + 4.89078i 1.12615 + 0.432288i
\(129\) −0.285768 + 2.71890i −0.0251605 + 0.239386i
\(130\) −3.19113 + 7.06607i −0.279880 + 0.619735i
\(131\) 5.54090 0.582372i 0.484111 0.0508821i 0.140670 0.990056i \(-0.455074\pi\)
0.343441 + 0.939174i \(0.388408\pi\)
\(132\) −1.48995 1.48995i −0.129683 0.129683i
\(133\) 14.3006 13.8303i 1.24002 1.19924i
\(134\) 4.95369 1.60955i 0.427934 0.139044i
\(135\) −5.11027 7.96147i −0.439822 0.685214i
\(136\) −2.47928 11.6641i −0.212597 1.00019i
\(137\) −0.475298 9.06922i −0.0406074 0.774836i −0.940721 0.339181i \(-0.889850\pi\)
0.900114 0.435655i \(-0.143483\pi\)
\(138\) −5.23640 + 3.40056i −0.445752 + 0.289475i
\(139\) 5.50579 16.9451i 0.466995 1.43726i −0.389461 0.921043i \(-0.627339\pi\)
0.856456 0.516220i \(-0.172661\pi\)
\(140\) 2.41440 1.86860i 0.204054 0.157925i
\(141\) 1.59121 + 4.89724i 0.134004 + 0.412422i
\(142\) 8.25134 + 6.68181i 0.692437 + 0.560725i
\(143\) 4.39874 + 1.17864i 0.367841 + 0.0985627i
\(144\) 1.63087 3.66299i 0.135906 0.305249i
\(145\) 13.5497 + 7.91925i 1.12524 + 0.657658i
\(146\) 7.72092 10.6269i 0.638988 0.879491i
\(147\) −12.4256 + 5.81644i −1.02484 + 0.479732i
\(148\) 1.21751 0.620350i 0.100078 0.0509925i
\(149\) −12.6781 7.31970i −1.03863 0.599653i −0.119185 0.992872i \(-0.538028\pi\)
−0.919445 + 0.393219i \(0.871362\pi\)
\(150\) −11.4404 10.5234i −0.934108 0.859231i
\(151\) −8.05257 13.9475i −0.655309 1.13503i −0.981816 0.189833i \(-0.939205\pi\)
0.326508 0.945195i \(-0.394128\pi\)
\(152\) −0.926314 + 17.6751i −0.0751340 + 1.43364i
\(153\) −4.20978 + 0.666764i −0.340341 + 0.0539047i
\(154\) −6.39855 5.95794i −0.515610 0.480104i
\(155\) −13.4853 4.46104i −1.08317 0.358319i
\(156\) −0.231106 2.19882i −0.0185033 0.176047i
\(157\) −1.11174 + 4.14906i −0.0887263 + 0.331131i −0.995994 0.0894230i \(-0.971498\pi\)
0.907267 + 0.420554i \(0.138164\pi\)
\(158\) 1.51863 + 3.95616i 0.120816 + 0.314736i
\(159\) −17.7078 3.76390i −1.40432 0.298497i
\(160\) −1.03104 + 6.29306i −0.0815110 + 0.497510i
\(161\) −4.35040 + 3.05096i −0.342859 + 0.240449i
\(162\) 15.2867 + 7.78897i 1.20104 + 0.611959i
\(163\) 8.30781 + 12.7929i 0.650718 + 1.00202i 0.997935 + 0.0642326i \(0.0204599\pi\)
−0.347217 + 0.937785i \(0.612873\pi\)
\(164\) 4.50068 0.956649i 0.351444 0.0747017i
\(165\) −5.01321 + 7.63056i −0.390278 + 0.594038i
\(166\) 0.962956 4.53035i 0.0747399 0.351623i
\(167\) −16.7023 2.64539i −1.29246 0.204706i −0.527929 0.849289i \(-0.677031\pi\)
−0.764535 + 0.644583i \(0.777031\pi\)
\(168\) 4.56405 11.3204i 0.352124 0.873390i
\(169\) −4.83258 6.65148i −0.371737 0.511652i
\(170\) 16.4538 7.22114i 1.26195 0.553836i
\(171\) 6.29165 + 0.661279i 0.481135 + 0.0505693i
\(172\) 0.453010 + 0.559420i 0.0345417 + 0.0426554i
\(173\) −18.7199 0.981067i −1.42325 0.0745892i −0.674906 0.737904i \(-0.735816\pi\)
−0.748340 + 0.663315i \(0.769149\pi\)
\(174\) −21.8201 −1.65418
\(175\) −10.0492 8.60313i −0.759647 0.650335i
\(176\) 9.92847 0.748387
\(177\) −20.5949 1.07933i −1.54801 0.0811276i
\(178\) 12.6404 + 15.6096i 0.947439 + 1.16999i
\(179\) 9.75542 + 1.02534i 0.729155 + 0.0766372i 0.461829 0.886969i \(-0.347193\pi\)
0.267326 + 0.963606i \(0.413860\pi\)
\(180\) 0.948548 + 0.206896i 0.0707006 + 0.0154211i
\(181\) 0.493376 + 0.679074i 0.0366723 + 0.0504751i 0.826959 0.562262i \(-0.190069\pi\)
−0.790287 + 0.612737i \(0.790069\pi\)
\(182\) −1.28343 9.08353i −0.0951344 0.673316i
\(183\) −16.6053 2.63002i −1.22750 0.194416i
\(184\) 0.982870 4.62404i 0.0724582 0.340889i
\(185\) −3.70155 4.62104i −0.272143 0.339745i
\(186\) 19.3167 4.10589i 1.41637 0.301059i
\(187\) −5.74811 8.85132i −0.420344 0.647272i
\(188\) 1.20804 + 0.615528i 0.0881055 + 0.0448920i
\(189\) 10.1485 + 4.72320i 0.738192 + 0.343562i
\(190\) −26.3636 + 4.03205i −1.91262 + 0.292516i
\(191\) 2.66133 + 0.565683i 0.192567 + 0.0409314i 0.303185 0.952932i \(-0.401950\pi\)
−0.110618 + 0.993863i \(0.535283\pi\)
\(192\) 3.51747 + 9.16332i 0.253851 + 0.661305i
\(193\) 1.81427 6.77095i 0.130594 0.487384i −0.869383 0.494139i \(-0.835483\pi\)
0.999977 + 0.00675479i \(0.00215013\pi\)
\(194\) 0.559220 + 5.32062i 0.0401496 + 0.381998i
\(195\) −9.12669 + 2.91190i −0.653576 + 0.208525i
\(196\) −1.23051 + 3.39636i −0.0878935 + 0.242597i
\(197\) 14.6392 2.31863i 1.04300 0.165195i 0.388650 0.921385i \(-0.372942\pi\)
0.654352 + 0.756190i \(0.272942\pi\)
\(198\) 0.145505 2.77639i 0.0103406 0.197310i
\(199\) −10.5072 18.1990i −0.744835 1.29009i −0.950272 0.311422i \(-0.899195\pi\)
0.205437 0.978670i \(-0.434138\pi\)
\(200\) 11.7590 0.490971i 0.831485 0.0347169i
\(201\) 5.57358 + 3.21791i 0.393130 + 0.226974i
\(202\) −4.01325 + 2.04485i −0.282371 + 0.143875i
\(203\) −18.5579 + 0.661748i −1.30251 + 0.0464456i
\(204\) −3.01181 + 4.14540i −0.210869 + 0.290236i
\(205\) −8.01220 18.2563i −0.559597 1.27507i
\(206\) 4.70875 10.5760i 0.328074 0.736867i
\(207\) −1.63212 0.437326i −0.113440 0.0303963i
\(208\) 8.09610 + 6.55609i 0.561363 + 0.454583i
\(209\) 4.84072 + 14.8982i 0.334839 + 1.03053i
\(210\) 18.0980 + 3.27668i 1.24888 + 0.226113i
\(211\) −7.71478 + 23.7437i −0.531108 + 1.63458i 0.220805 + 0.975318i \(0.429132\pi\)
−0.751912 + 0.659263i \(0.770868\pi\)
\(212\) −3.99767 + 2.59612i −0.274561 + 0.178302i
\(213\) 0.686599 + 13.1011i 0.0470450 + 0.897672i
\(214\) −3.82405 17.9907i −0.261407 1.22982i
\(215\) 1.97574 2.41349i 0.134745 0.164599i
\(216\) −9.47131 + 3.07741i −0.644441 + 0.209392i
\(217\) 16.3042 4.07787i 1.10680 0.276824i
\(218\) −10.9644 10.9644i −0.742600 0.742600i
\(219\) 16.1416 1.69655i 1.09075 0.114642i
\(220\) 0.487307 + 2.35406i 0.0328542 + 0.158711i
\(221\) 1.15756 11.0134i 0.0778656 0.740842i
\(222\) 7.68503 + 2.95001i 0.515786 + 0.197992i
\(223\) 5.91390 + 11.6067i 0.396024 + 0.777241i 0.999802 0.0199118i \(-0.00633854\pi\)
−0.603778 + 0.797153i \(0.706339\pi\)
\(224\) −2.95331 6.94333i −0.197326 0.463921i
\(225\) 0.0447212 4.20644i 0.00298141 0.280430i
\(226\) 7.26966 12.5914i 0.483571 0.837569i
\(227\) −2.59763 1.68692i −0.172411 0.111965i 0.455549 0.890211i \(-0.349443\pi\)
−0.627960 + 0.778246i \(0.716110\pi\)
\(228\) 5.91047 4.78620i 0.391430 0.316974i
\(229\) 0.487685 0.217131i 0.0322271 0.0143484i −0.390560 0.920578i \(-0.627719\pi\)
0.422787 + 0.906229i \(0.361052\pi\)
\(230\) 7.12326 + 0.0378647i 0.469694 + 0.00249673i
\(231\) 0.180576 10.8013i 0.0118810 0.710674i
\(232\) 11.6820 11.6820i 0.766961 0.766961i
\(233\) −15.6193 + 19.2882i −1.02325 + 1.26361i −0.0591038 + 0.998252i \(0.518824\pi\)
−0.964149 + 0.265360i \(0.914509\pi\)
\(234\) 1.95199 2.16791i 0.127606 0.141721i
\(235\) 1.55064 5.66640i 0.101152 0.369635i
\(236\) −4.03538 + 3.63348i −0.262681 + 0.236519i
\(237\) −2.37712 + 4.66535i −0.154410 + 0.303047i
\(238\) −11.8759 + 17.6347i −0.769799 + 1.14309i
\(239\) −25.9462 8.43043i −1.67832 0.545320i −0.693736 0.720229i \(-0.744037\pi\)
−0.984585 + 0.174910i \(0.944037\pi\)
\(240\) −17.5770 + 11.2822i −1.13459 + 0.728265i
\(241\) 14.2251 + 12.8083i 0.916319 + 0.825057i 0.984995 0.172582i \(-0.0552109\pi\)
−0.0686763 + 0.997639i \(0.521878\pi\)
\(242\) −9.86243 + 3.78583i −0.633981 + 0.243362i
\(243\) 2.20163 + 8.21660i 0.141235 + 0.527095i
\(244\) −3.58129 + 2.60196i −0.229269 + 0.166574i
\(245\) 15.4917 + 2.23794i 0.989726 + 0.142976i
\(246\) 22.4251 + 16.2928i 1.42977 + 1.03879i
\(247\) −5.89043 + 15.3451i −0.374799 + 0.976386i
\(248\) −8.14354 + 12.5400i −0.517116 + 0.796288i
\(249\) 4.95609 2.86140i 0.314079 0.181334i
\(250\) 4.31625 + 17.2011i 0.272983 + 1.08789i
\(251\) 7.49714i 0.473215i −0.971605 0.236608i \(-0.923964\pi\)
0.971605 0.236608i \(-0.0760356\pi\)
\(252\) −1.07916 + 0.393683i −0.0679806 + 0.0247997i
\(253\) −0.654514 4.13244i −0.0411489 0.259804i
\(254\) 1.58561 + 3.56134i 0.0994900 + 0.223458i
\(255\) 20.2344 + 9.13813i 1.26713 + 0.572252i
\(256\) 10.6261 + 4.73103i 0.664130 + 0.295690i
\(257\) −13.2229 + 3.54307i −0.824824 + 0.221011i −0.646454 0.762953i \(-0.723749\pi\)
−0.178369 + 0.983964i \(0.557082\pi\)
\(258\) −0.678378 + 4.28311i −0.0422340 + 0.266655i
\(259\) 6.62555 + 2.27590i 0.411691 + 0.141417i
\(260\) −1.15709 + 2.24139i −0.0717598 + 0.139005i
\(261\) −3.95126 4.38832i −0.244577 0.271630i
\(262\) 8.82533 0.462516i 0.545231 0.0285743i
\(263\) 19.5402 1.02406i 1.20490 0.0631462i 0.560711 0.828012i \(-0.310528\pi\)
0.644190 + 0.764865i \(0.277195\pi\)
\(264\) 6.43097 + 7.14231i 0.395799 + 0.439579i
\(265\) 14.5267 + 14.6820i 0.892369 + 0.901906i
\(266\) 23.8008 20.7205i 1.45932 1.27046i
\(267\) −3.88242 + 24.5127i −0.237600 + 1.50015i
\(268\) 1.63683 0.438587i 0.0999853 0.0267910i
\(269\) 8.43550 + 3.75573i 0.514321 + 0.228991i 0.647450 0.762108i \(-0.275836\pi\)
−0.133128 + 0.991099i \(0.542502\pi\)
\(270\) −7.43392 13.0355i −0.452414 0.793313i
\(271\) 0.449933 + 1.01057i 0.0273315 + 0.0613875i 0.926695 0.375813i \(-0.122637\pi\)
−0.899364 + 0.437201i \(0.855970\pi\)
\(272\) −3.77692 23.8465i −0.229010 1.44591i
\(273\) 7.27970 8.68860i 0.440588 0.525858i
\(274\) 14.4054i 0.870263i
\(275\) 9.56034 4.13532i 0.576510 0.249369i
\(276\) −1.75918 + 1.01566i −0.105890 + 0.0611356i
\(277\) 10.5883 16.3045i 0.636188 0.979643i −0.362673 0.931917i \(-0.618136\pi\)
0.998860 0.0477267i \(-0.0151976\pi\)
\(278\) 10.1281 26.3845i 0.607441 1.58244i
\(279\) 4.32369 + 3.14135i 0.258853 + 0.188067i
\(280\) −11.4436 + 7.93504i −0.683884 + 0.474209i
\(281\) −1.38801 + 1.00845i −0.0828017 + 0.0601589i −0.628416 0.777878i \(-0.716296\pi\)
0.545614 + 0.838036i \(0.316296\pi\)
\(282\) 2.11398 + 7.88949i 0.125886 + 0.469812i
\(283\) 24.6453 9.46043i 1.46501 0.562364i 0.510324 0.859982i \(-0.329525\pi\)
0.954685 + 0.297618i \(0.0961921\pi\)
\(284\) 2.56704 + 2.31137i 0.152326 + 0.137155i
\(285\) −25.4994 20.8744i −1.51045 1.23649i
\(286\) 6.86990 + 2.23217i 0.406226 + 0.131991i
\(287\) 19.5666 + 13.1769i 1.15498 + 0.777805i
\(288\) 1.08929 2.13786i 0.0641873 0.125975i
\(289\) −6.43928 + 5.79795i −0.378781 + 0.341056i
\(290\) 20.8058 + 13.6692i 1.22176 + 0.802683i
\(291\) −4.42323 + 4.91250i −0.259294 + 0.287976i
\(292\) 2.68943 3.32116i 0.157387 0.194356i
\(293\) 4.33790 4.33790i 0.253423 0.253423i −0.568950 0.822372i \(-0.692650\pi\)
0.822372 + 0.568950i \(0.192650\pi\)
\(294\) −20.1654 + 8.18193i −1.17607 + 0.477180i
\(295\) 18.9614 + 13.9308i 1.10397 + 0.811085i
\(296\) −5.69377 + 2.53503i −0.330944 + 0.147346i
\(297\) −6.84976 + 5.54683i −0.397463 + 0.321860i
\(298\) −19.4749 12.6471i −1.12815 0.732629i
\(299\) 2.19506 3.80196i 0.126944 0.219873i
\(300\) −3.53775 3.61378i −0.204252 0.208642i
\(301\) −0.447061 + 3.66334i −0.0257682 + 0.211151i
\(302\) −11.5977 22.7617i −0.667372 1.30979i
\(303\) −5.19574 1.99446i −0.298488 0.114579i
\(304\) −3.74585 + 35.6394i −0.214839 + 2.04406i
\(305\) 14.1858 + 12.9101i 0.812276 + 0.739232i
\(306\) −6.72379 + 0.706699i −0.384373 + 0.0403993i
\(307\) −12.5574 12.5574i −0.716687 0.716687i 0.251239 0.967925i \(-0.419162\pi\)
−0.967925 + 0.251239i \(0.919162\pi\)
\(308\) −1.97740 2.04465i −0.112673 0.116504i
\(309\) 13.6044 4.42034i 0.773928 0.251464i
\(310\) −20.9909 8.18593i −1.19220 0.464930i
\(311\) −1.32225 6.22068i −0.0749777 0.352743i 0.924626 0.380875i \(-0.124377\pi\)
−0.999604 + 0.0281326i \(0.991044\pi\)
\(312\) 0.527784 + 10.0707i 0.0298799 + 0.570142i
\(313\) −6.40601 + 4.16011i −0.362089 + 0.235143i −0.712842 0.701325i \(-0.752592\pi\)
0.350753 + 0.936468i \(0.385926\pi\)
\(314\) −2.10547 + 6.47997i −0.118818 + 0.365686i
\(315\) 2.61827 + 4.23312i 0.147523 + 0.238509i
\(316\) 0.426032 + 1.31119i 0.0239662 + 0.0737603i
\(317\) −10.9676 8.88140i −0.616003 0.498829i 0.269785 0.962921i \(-0.413048\pi\)
−0.885787 + 0.464092i \(0.846381\pi\)
\(318\) −27.7372 7.43217i −1.55543 0.416775i
\(319\) 5.94723 13.3577i 0.332981 0.747888i
\(320\) 2.38641 10.9409i 0.133404 0.611614i
\(321\) 13.3581 18.3858i 0.745575 1.02620i
\(322\) −7.14446 + 4.47168i −0.398145 + 0.249197i
\(323\) 33.9415 17.2941i 1.88856 0.962268i
\(324\) 4.83394 + 2.79088i 0.268552 + 0.155049i
\(325\) 10.5266 + 2.94088i 0.583910 + 0.163131i
\(326\) 12.0978 + 20.9541i 0.670037 + 1.16054i
\(327\) 1.00272 19.1330i 0.0554505 1.05806i
\(328\) −20.7288 + 3.28311i −1.14455 + 0.181280i
\(329\) 2.03720 + 6.64586i 0.112314 + 0.366398i
\(330\) −8.57455 + 11.6709i −0.472014 + 0.642461i
\(331\) 1.07624 + 10.2397i 0.0591554 + 0.562826i 0.983454 + 0.181157i \(0.0579841\pi\)
−0.924299 + 0.381670i \(0.875349\pi\)
\(332\) 0.389997 1.45549i 0.0214038 0.0798802i
\(333\) 0.798347 + 2.07976i 0.0437491 + 0.113970i
\(334\) −26.2374 5.57694i −1.43565 0.305156i
\(335\) −3.29863 6.55989i −0.180223 0.358405i
\(336\) 10.4277 22.4053i 0.568876 1.22231i
\(337\) 22.9028 + 11.6695i 1.24759 + 0.635681i 0.947965 0.318375i \(-0.103137\pi\)
0.299629 + 0.954056i \(0.403137\pi\)
\(338\) −7.10280 10.9374i −0.386341 0.594914i
\(339\) 17.5723 3.73512i 0.954398 0.202864i
\(340\) 5.46869 2.06595i 0.296581 0.112042i
\(341\) −2.75139 + 12.9443i −0.148996 + 0.700973i
\(342\) 9.91130 + 1.56980i 0.535942 + 0.0848848i
\(343\) −16.9024 + 7.57025i −0.912644 + 0.408755i
\(344\) −1.92990 2.65628i −0.104053 0.143217i
\(345\) 5.85463 + 6.57214i 0.315203 + 0.353832i
\(346\) −29.5715 3.10809i −1.58977 0.167092i
\(347\) 2.87187 + 3.54647i 0.154170 + 0.190384i 0.848379 0.529389i \(-0.177579\pi\)
−0.694209 + 0.719774i \(0.744246\pi\)
\(348\) −7.08921 0.371530i −0.380022 0.0199161i
\(349\) −35.4204 −1.89601 −0.948005 0.318256i \(-0.896903\pi\)
−0.948005 + 0.318256i \(0.896903\pi\)
\(350\) −15.2041 14.4619i −0.812691 0.773021i
\(351\) −9.24834 −0.493640
\(352\) 5.93307 + 0.310939i 0.316234 + 0.0165731i
\(353\) 6.72945 + 8.31018i 0.358173 + 0.442306i 0.924101 0.382148i \(-0.124816\pi\)
−0.565929 + 0.824454i \(0.691482\pi\)
\(354\) −32.5334 3.41940i −1.72913 0.181739i
\(355\) 7.55250 12.9222i 0.400845 0.685839i
\(356\) 3.84101 + 5.28670i 0.203573 + 0.280194i
\(357\) −26.0116 + 3.67525i −1.37668 + 0.194515i
\(358\) 15.3678 + 2.43402i 0.812214 + 0.128642i
\(359\) −0.793602 + 3.73360i −0.0418847 + 0.197052i −0.994115 0.108328i \(-0.965450\pi\)
0.952230 + 0.305380i \(0.0987836\pi\)
\(360\) −4.27121 1.16884i −0.225113 0.0616031i
\(361\) −36.7204 + 7.80515i −1.93265 + 0.410797i
\(362\) 0.725151 + 1.11663i 0.0381131 + 0.0586890i
\(363\) −11.6304 5.92598i −0.610437 0.311033i
\(364\) −0.262315 2.97304i −0.0137490 0.155829i
\(365\) −16.4540 8.49421i −0.861243 0.444607i
\(366\) −26.0850 5.54453i −1.36348 0.289817i
\(367\) −2.98397 7.77350i −0.155762 0.405773i 0.833387 0.552690i \(-0.186399\pi\)
−0.989149 + 0.146916i \(0.953065\pi\)
\(368\) 2.47726 9.24526i 0.129136 0.481943i
\(369\) 0.784116 + 7.46037i 0.0408195 + 0.388371i
\(370\) −5.47976 7.62717i −0.284879 0.396518i
\(371\) −23.8158 5.47982i −1.23645 0.284498i
\(372\) 6.34579 1.00507i 0.329014 0.0521107i
\(373\) −0.912274 + 17.4072i −0.0472358 + 0.901312i 0.867544 + 0.497360i \(0.165697\pi\)
−0.914780 + 0.403952i \(0.867636\pi\)
\(374\) −8.37041 14.4980i −0.432824 0.749672i
\(375\) −12.2261 + 18.1849i −0.631351 + 0.939064i
\(376\) −5.35564 3.09208i −0.276196 0.159462i
\(377\) 13.6702 6.96529i 0.704049 0.358731i
\(378\) 15.6834 + 8.32419i 0.806667 + 0.428150i
\(379\) −6.41691 + 8.83212i −0.329614 + 0.453675i −0.941372 0.337370i \(-0.890463\pi\)
0.611758 + 0.791045i \(0.290463\pi\)
\(380\) −8.63404 + 0.861097i −0.442917 + 0.0441734i
\(381\) −1.95919 + 4.40042i −0.100372 + 0.225440i
\(382\) 4.16868 + 1.11699i 0.213288 + 0.0571504i
\(383\) 12.8953 + 10.4424i 0.658919 + 0.533582i 0.899430 0.437064i \(-0.143982\pi\)
−0.240511 + 0.970646i \(0.577315\pi\)
\(384\) 8.26557 + 25.4388i 0.421800 + 1.29817i
\(385\) −6.93866 + 10.1861i −0.353627 + 0.519131i
\(386\) 3.43596 10.5748i 0.174886 0.538244i
\(387\) −0.984236 + 0.639170i −0.0500315 + 0.0324909i
\(388\) 0.0910931 + 1.73816i 0.00462455 + 0.0882417i
\(389\) 3.99680 + 18.8035i 0.202646 + 0.953373i 0.955456 + 0.295135i \(0.0953646\pi\)
−0.752810 + 0.658238i \(0.771302\pi\)
\(390\) −14.6987 + 3.85489i −0.744299 + 0.195200i
\(391\) −9.67645 + 3.14407i −0.489359 + 0.159002i
\(392\) 6.41568 15.1765i 0.324041 0.766531i
\(393\) 7.72133 + 7.72133i 0.389490 + 0.389490i
\(394\) 23.3815 2.45750i 1.17794 0.123807i
\(395\) 5.18923 2.95934i 0.261098 0.148900i
\(396\) 0.0945471 0.899556i 0.00475117 0.0452044i
\(397\) 1.13583 + 0.436005i 0.0570058 + 0.0218825i 0.386704 0.922204i \(-0.373614\pi\)
−0.329698 + 0.944086i \(0.606947\pi\)
\(398\) −15.1329 29.7001i −0.758546 1.48873i
\(399\) 38.7044 + 4.72336i 1.93765 + 0.236464i
\(400\) 23.8276 + 0.253326i 1.19138 + 0.0126663i
\(401\) 2.37174 4.10797i 0.118439 0.205142i −0.800710 0.599052i \(-0.795544\pi\)
0.919149 + 0.393910i \(0.128878\pi\)
\(402\) 8.56160 + 5.55997i 0.427014 + 0.277306i
\(403\) −10.7911 + 8.73849i −0.537545 + 0.435295i
\(404\) −1.33870 + 0.596027i −0.0666027 + 0.0296534i
\(405\) 7.59595 22.9619i 0.377446 1.14099i
\(406\) −29.4512 0.492364i −1.46164 0.0244356i
\(407\) −3.90054 + 3.90054i −0.193342 + 0.193342i
\(408\) 14.7082 18.1631i 0.728166 0.899210i
\(409\) 16.5891 18.4241i 0.820280 0.911014i −0.177038 0.984204i \(-0.556651\pi\)
0.997318 + 0.0731905i \(0.0233181\pi\)
\(410\) −11.1760 29.5837i −0.551946 1.46103i
\(411\) 13.2276 11.9102i 0.652468 0.587485i
\(412\) 1.70992 3.35591i 0.0842419 0.165334i
\(413\) −27.7732 1.92153i −1.36663 0.0945522i
\(414\) −2.54904 0.828232i −0.125278 0.0407054i
\(415\) −6.51823 0.376359i −0.319967 0.0184747i
\(416\) 4.63276 + 4.17136i 0.227140 + 0.204518i
\(417\) 32.6010 12.5143i 1.59648 0.612829i
\(418\) 6.43108 + 24.0011i 0.314554 + 1.17393i
\(419\) 19.6973 14.3109i 0.962276 0.699135i 0.00859807 0.999963i \(-0.497263\pi\)
0.953678 + 0.300828i \(0.0972631\pi\)
\(420\) 5.82415 + 1.37273i 0.284190 + 0.0669824i
\(421\) −6.00083 4.35986i −0.292463 0.212486i 0.431872 0.901935i \(-0.357853\pi\)
−0.724335 + 0.689448i \(0.757853\pi\)
\(422\) −14.1916 + 36.9703i −0.690835 + 1.79969i
\(423\) −1.20388 + 1.85381i −0.0585345 + 0.0901352i
\(424\) 18.8290 10.8709i 0.914415 0.527938i
\(425\) −13.5692 21.3892i −0.658204 1.03753i
\(426\) 20.8096i 1.00823i
\(427\) −22.3533 3.92451i −1.08175 0.189920i
\(428\) −0.936083 5.91019i −0.0452473 0.285680i
\(429\) 3.63027 + 8.15371i 0.175271 + 0.393665i
\(430\) 3.33000 3.65904i 0.160587 0.176455i
\(431\) 16.4910 + 7.34228i 0.794345 + 0.353665i 0.763458 0.645858i \(-0.223500\pi\)
0.0308873 + 0.999523i \(0.490167\pi\)
\(432\) −19.4763 + 5.21865i −0.937052 + 0.251082i
\(433\) 3.94891 24.9324i 0.189773 1.19818i −0.690366 0.723460i \(-0.742551\pi\)
0.880139 0.474717i \(-0.157449\pi\)
\(434\) 26.1650 5.10597i 1.25596 0.245095i
\(435\) 4.65031 + 30.4061i 0.222965 + 1.45786i
\(436\) −3.37556 3.74894i −0.161660 0.179542i
\(437\) 15.0808 0.790352i 0.721413 0.0378077i
\(438\) 25.7096 1.34739i 1.22845 0.0643805i
\(439\) 18.6654 + 20.7300i 0.890849 + 0.989388i 0.999989 0.00463865i \(-0.00147653\pi\)
−0.109141 + 0.994026i \(0.534810\pi\)
\(440\) −1.65771 10.8390i −0.0790284 0.516728i
\(441\) −5.29712 2.57392i −0.252244 0.122568i
\(442\) 2.74789 17.3495i 0.130704 0.825232i
\(443\) 29.5785 7.92554i 1.40532 0.376554i 0.525066 0.851061i \(-0.324040\pi\)
0.880252 + 0.474507i \(0.157374\pi\)
\(444\) 2.44659 + 1.08929i 0.116110 + 0.0516955i
\(445\) 19.0579 20.9410i 0.903432 0.992700i
\(446\) 8.40428 + 18.8763i 0.397954 + 0.893820i
\(447\) −4.48846 28.3390i −0.212297 1.34039i
\(448\) 4.54087 + 12.4474i 0.214536 + 0.588084i
\(449\) 30.4224i 1.43572i 0.696187 + 0.717861i \(0.254879\pi\)
−0.696187 + 0.717861i \(0.745121\pi\)
\(450\) 0.420041 6.65944i 0.0198009 0.313929i
\(451\) −16.0862 + 9.28737i −0.757469 + 0.437325i
\(452\) 2.57626 3.96710i 0.121177 0.186597i
\(453\) 11.3119 29.4685i 0.531478 1.38455i
\(454\) −3.97469 2.88778i −0.186541 0.135530i
\(455\) −12.3843 + 3.72434i −0.580584 + 0.174600i
\(456\) −28.0645 + 20.3900i −1.31424 + 0.954851i
\(457\) 10.4479 + 38.9922i 0.488733 + 1.82398i 0.562628 + 0.826710i \(0.309790\pi\)
−0.0738955 + 0.997266i \(0.523543\pi\)
\(458\) 0.790535 0.303458i 0.0369393 0.0141797i
\(459\) 15.9283 + 14.3419i 0.743469 + 0.669423i
\(460\) 2.31366 + 0.133590i 0.107875 + 0.00622865i
\(461\) 16.9923 + 5.52114i 0.791411 + 0.257145i 0.676705 0.736255i \(-0.263407\pi\)
0.114706 + 0.993399i \(0.463407\pi\)
\(462\) 1.18272 17.0946i 0.0550249 0.795315i
\(463\) −15.5311 + 30.4814i −0.721790 + 1.41659i 0.179668 + 0.983727i \(0.442498\pi\)
−0.901458 + 0.432866i \(0.857502\pi\)
\(464\) 24.8579 22.3821i 1.15400 1.03906i
\(465\) −9.83831 26.0426i −0.456241 1.20770i
\(466\) −26.3427 + 29.2565i −1.22030 + 1.35528i
\(467\) −4.20233 + 5.18944i −0.194460 + 0.240139i −0.865045 0.501695i \(-0.832710\pi\)
0.670584 + 0.741833i \(0.266043\pi\)
\(468\) 0.671104 0.671104i 0.0310218 0.0310218i
\(469\) 7.45022 + 4.46907i 0.344019 + 0.206363i
\(470\) 2.92666 8.84705i 0.134997 0.408084i
\(471\) −7.69091 + 3.42421i −0.354378 + 0.157779i
\(472\) 19.2484 15.5870i 0.885978 0.717451i
\(473\) −2.43712 1.58268i −0.112059 0.0727718i
\(474\) −4.15273 + 7.19274i −0.190741 + 0.330374i
\(475\) 11.2373 + 35.8782i 0.515601 + 1.64620i
\(476\) −4.15867 + 5.52721i −0.190612 + 0.253339i
\(477\) −3.52805 6.92419i −0.161538 0.317037i
\(478\) −40.3998 15.5080i −1.84785 0.709321i
\(479\) 0.529424 5.03713i 0.0241900 0.230153i −0.975747 0.218903i \(-0.929752\pi\)
0.999937 0.0112499i \(-0.00358104\pi\)
\(480\) −10.8570 + 6.19158i −0.495552 + 0.282606i
\(481\) −5.75631 + 0.605013i −0.262465 + 0.0275862i
\(482\) 21.4697 + 21.4697i 0.977920 + 0.977920i
\(483\) −10.0130 2.86319i −0.455606 0.130280i
\(484\) −3.26870 + 1.06207i −0.148577 + 0.0482758i
\(485\) 7.29505 1.91320i 0.331251 0.0868740i
\(486\) 2.80535 + 13.1981i 0.127253 + 0.598680i
\(487\) 0.984042 + 18.7766i 0.0445912 + 0.850851i 0.925774 + 0.378076i \(0.123414\pi\)
−0.881183 + 0.472775i \(0.843252\pi\)
\(488\) 16.9338 10.9969i 0.766556 0.497807i
\(489\) −9.23849 + 28.4332i −0.417779 + 1.28579i
\(490\) 24.3535 + 4.83102i 1.10018 + 0.218243i
\(491\) −8.10726 24.9516i −0.365876 1.12605i −0.949431 0.313976i \(-0.898339\pi\)
0.583555 0.812073i \(-0.301661\pi\)
\(492\) 7.00838 + 5.67527i 0.315962 + 0.255861i
\(493\) −34.3454 9.20282i −1.54684 0.414474i
\(494\) −10.6045 + 23.8182i −0.477121 + 1.07163i
\(495\) −3.89989 + 0.388947i −0.175287 + 0.0174819i
\(496\) −17.7943 + 24.4918i −0.798989 + 1.09971i
\(497\) 0.631101 + 17.6984i 0.0283088 + 0.793884i
\(498\) 8.08815 4.12112i 0.362439 0.184672i
\(499\) −2.61768 1.51132i −0.117183 0.0676558i 0.440263 0.897869i \(-0.354885\pi\)
−0.557446 + 0.830213i \(0.688219\pi\)
\(500\) 1.10944 + 5.66202i 0.0496157 + 0.253213i
\(501\) −16.5717 28.7031i −0.740370 1.28236i
\(502\) 0.622380 11.8757i 0.0277782 0.530039i
\(503\) −13.8594 + 2.19511i −0.617958 + 0.0978750i −0.457562 0.889178i \(-0.651277\pi\)
−0.160396 + 0.987053i \(0.551277\pi\)
\(504\) 5.00950 1.53560i 0.223141 0.0684009i
\(505\) 3.70479 + 5.15662i 0.164861 + 0.229467i
\(506\) −0.693715 6.60026i −0.0308394 0.293417i
\(507\) 4.17060 15.5649i 0.185223 0.691260i
\(508\) 0.454516 + 1.18405i 0.0201659 + 0.0525339i
\(509\) −22.1880 4.71620i −0.983465 0.209042i −0.312003 0.950081i \(-0.601000\pi\)
−0.671462 + 0.741039i \(0.734333\pi\)
\(510\) 31.2934 + 16.1549i 1.38570 + 0.715351i
\(511\) 21.8251 1.92565i 0.965483 0.0851858i
\(512\) −7.88049 4.01531i −0.348272 0.177453i
\(513\) −17.3267 26.6808i −0.764992 1.17798i
\(514\) −21.2397 + 4.51464i −0.936843 + 0.199132i
\(515\) −15.7411 4.30763i −0.693637 0.189817i
\(516\) −0.293330 + 1.38001i −0.0129131 + 0.0607514i
\(517\) −5.40593 0.856215i −0.237752 0.0376563i
\(518\) 10.3062 + 4.15513i 0.452827 + 0.182566i
\(519\) −21.5953 29.7233i −0.947927 1.30471i
\(520\) 5.80556 9.93321i 0.254591 0.435600i
\(521\) −41.7780 4.39105i −1.83033 0.192375i −0.874248 0.485480i \(-0.838645\pi\)
−0.956080 + 0.293105i \(0.905311\pi\)
\(522\) −5.89463 7.27927i −0.258001 0.318605i
\(523\) 26.3887 + 1.38297i 1.15390 + 0.0604732i 0.619666 0.784865i \(-0.287268\pi\)
0.534231 + 0.845339i \(0.320601\pi\)
\(524\) 2.87517 0.125602
\(525\) 0.708965 25.9178i 0.0309418 1.13114i
\(526\) 31.0374 1.35329
\(527\) 32.1367 + 1.68421i 1.39990 + 0.0733655i
\(528\) 12.2460 + 15.1226i 0.532940 + 0.658126i
\(529\) 18.8626 + 1.98254i 0.820114 + 0.0861975i
\(530\) 21.7920 + 24.4627i 0.946583 + 1.06259i
\(531\) −5.20358 7.16212i −0.225816 0.310809i
\(532\) 8.08554 6.32672i 0.350553 0.274298i
\(533\) −19.2501 3.04892i −0.833815 0.132063i
\(534\) −8.18483 + 38.5066i −0.354192 + 1.66634i
\(535\) −24.2549 + 9.16297i −1.04863 + 0.396150i
\(536\) −7.56039 + 1.60701i −0.326559 + 0.0694123i
\(537\) 10.4708 + 16.1237i 0.451850 + 0.695788i
\(538\) 13.0503 + 6.64948i 0.562640 + 0.286679i
\(539\) 0.487457 14.5748i 0.0209963 0.627780i
\(540\) −2.19328 4.36172i −0.0943839 0.187699i
\(541\) 4.85225 + 1.03138i 0.208615 + 0.0443424i 0.311033 0.950399i \(-0.399325\pi\)
−0.102419 + 0.994741i \(0.532658\pi\)
\(542\) 0.628817 + 1.63812i 0.0270100 + 0.0703634i
\(543\) −0.425791 + 1.58907i −0.0182724 + 0.0681937i
\(544\) −1.51020 14.3685i −0.0647491 0.616046i
\(545\) −12.9420 + 17.6155i −0.554374 + 0.754563i
\(546\) 12.2526 13.1587i 0.524362 0.563141i
\(547\) −17.1842 + 2.72171i −0.734743 + 0.116372i −0.512582 0.858638i \(-0.671311\pi\)
−0.222161 + 0.975010i \(0.571311\pi\)
\(548\) 0.245281 4.68023i 0.0104779 0.199930i
\(549\) −3.60848 6.25007i −0.154006 0.266747i
\(550\) 15.4872 5.75683i 0.660376 0.245472i
\(551\) 45.7053 + 26.3880i 1.94711 + 1.12416i
\(552\) 8.25542 4.20635i 0.351374 0.179034i
\(553\) −3.31374 + 6.24333i −0.140915 + 0.265493i
\(554\) 18.1257 24.9479i 0.770088 1.05994i
\(555\) 2.47297 11.3377i 0.104972 0.481260i
\(556\) 3.73980 8.39972i 0.158603 0.356228i
\(557\) −10.5747 2.83348i −0.448064 0.120058i 0.0277296 0.999615i \(-0.491172\pi\)
−0.475793 + 0.879557i \(0.657839\pi\)
\(558\) 6.58809 + 5.33493i 0.278896 + 0.225846i
\(559\) −0.942233 2.89989i −0.0398522 0.122652i
\(560\) −23.9787 + 14.8314i −1.01329 + 0.626739i
\(561\) 6.39205 19.6727i 0.269872 0.830582i
\(562\) −2.28237 + 1.48219i −0.0962760 + 0.0625224i
\(563\) 0.104267 + 1.98954i 0.00439434 + 0.0838491i 0.999946 0.0103653i \(-0.00329943\pi\)
−0.995552 + 0.0942144i \(0.969966\pi\)
\(564\) 0.552486 + 2.59924i 0.0232639 + 0.109448i
\(565\) −19.0953 7.44671i −0.803347 0.313286i
\(566\) 39.8243 12.9397i 1.67394 0.543896i
\(567\) 6.94351 + 27.7617i 0.291600 + 1.16588i
\(568\) −11.1410 11.1410i −0.467466 0.467466i
\(569\) −31.7588 + 3.33799i −1.33140 + 0.139936i −0.743357 0.668895i \(-0.766768\pi\)
−0.588042 + 0.808831i \(0.700101\pi\)
\(570\) −38.6590 35.1826i −1.61925 1.47364i
\(571\) 1.54321 14.6827i 0.0645815 0.614452i −0.913588 0.406642i \(-0.866700\pi\)
0.978169 0.207810i \(-0.0666336\pi\)
\(572\) 2.19398 + 0.842191i 0.0917351 + 0.0352138i
\(573\) 2.42093 + 4.75134i 0.101136 + 0.198490i
\(574\) 29.9003 + 22.4969i 1.24801 + 0.939004i
\(575\) −1.46535 9.93427i −0.0611093 0.414288i
\(576\) −2.10668 + 3.64889i −0.0877785 + 0.152037i
\(577\) −6.81017 4.42257i −0.283511 0.184114i 0.395047 0.918661i \(-0.370728\pi\)
−0.678558 + 0.734547i \(0.737395\pi\)
\(578\) −10.6814 + 8.64959i −0.444286 + 0.359776i
\(579\) 12.5510 5.58805i 0.521601 0.232232i
\(580\) 6.52692 + 4.79530i 0.271016 + 0.199114i
\(581\) 6.75395 3.75028i 0.280201 0.155588i
\(582\) −7.41437 + 7.41437i −0.307335 + 0.307335i
\(583\) 12.1098 14.9543i 0.501536 0.619346i
\(584\) −13.0430 + 14.4858i −0.539725 + 0.599425i
\(585\) −3.43697 2.25806i −0.142101 0.0933592i
\(586\) 7.23150 6.51127i 0.298730 0.268978i
\(587\) −3.16940 + 6.22031i −0.130815 + 0.256739i −0.947118 0.320884i \(-0.896020\pi\)
0.816303 + 0.577624i \(0.196020\pi\)
\(588\) −6.69092 + 2.31490i −0.275929 + 0.0954650i
\(589\) −45.4270 14.7601i −1.87179 0.608181i
\(590\) 28.8790 + 23.6410i 1.18893 + 0.973286i
\(591\) 21.5880 + 19.4379i 0.888013 + 0.799570i
\(592\) −11.7809 + 4.52228i −0.484194 + 0.185865i
\(593\) 2.19397 + 8.18799i 0.0900954 + 0.336240i 0.996230 0.0867484i \(-0.0276476\pi\)
−0.906135 + 0.422989i \(0.860981\pi\)
\(594\) −11.3107 + 8.21773i −0.464085 + 0.337177i
\(595\) 27.1048 + 12.7906i 1.11119 + 0.524364i
\(596\) −6.11193 4.44058i −0.250355 0.181893i
\(597\) 14.7600 38.4512i 0.604087 1.57370i
\(598\) 3.79268 5.84022i 0.155094 0.238824i
\(599\) −20.6751 + 11.9368i −0.844762 + 0.487723i −0.858880 0.512177i \(-0.828839\pi\)
0.0141183 + 0.999900i \(0.495506\pi\)
\(600\) 15.2516 + 17.3051i 0.622646 + 0.706480i
\(601\) 9.32470i 0.380362i −0.981749 0.190181i \(-0.939092\pi\)
0.981749 0.190181i \(-0.0609075\pi\)
\(602\) −1.01228 + 5.76574i −0.0412573 + 0.234994i
\(603\) 0.432180 + 2.72868i 0.0175997 + 0.111120i
\(604\) −3.38046 7.59263i −0.137549 0.308940i
\(605\) 7.37741 + 12.9364i 0.299934 + 0.525938i
\(606\) −8.06467 3.59062i −0.327605 0.145859i
\(607\) −21.5323 + 5.76957i −0.873971 + 0.234180i −0.667804 0.744337i \(-0.732766\pi\)
−0.206167 + 0.978517i \(0.566099\pi\)
\(608\) −3.35461 + 21.1802i −0.136047 + 0.858969i
\(609\) −23.8977 27.4503i −0.968384 1.11234i
\(610\) 21.3990 + 21.6277i 0.866421 + 0.875682i
\(611\) −3.84284 4.26790i −0.155465 0.172661i
\(612\) −2.19655 + 0.115116i −0.0887903 + 0.00465330i
\(613\) −20.6108 + 1.08016i −0.832461 + 0.0436274i −0.463804 0.885938i \(-0.653516\pi\)
−0.368657 + 0.929565i \(0.620182\pi\)
\(614\) −18.8488 20.9338i −0.760677 0.844818i
\(615\) 17.9246 34.7216i 0.722791 1.40011i
\(616\) 8.51891 + 9.78531i 0.343237 + 0.394261i
\(617\) −1.89563 + 11.9685i −0.0763151 + 0.481835i 0.919698 + 0.392627i \(0.128434\pi\)
−0.996013 + 0.0892079i \(0.971566\pi\)
\(618\) 21.9168 5.87259i 0.881624 0.236230i
\(619\) 14.7437 + 6.56430i 0.592597 + 0.263841i 0.681048 0.732239i \(-0.261525\pi\)
−0.0884500 + 0.996081i \(0.528191\pi\)
\(620\) −6.68043 3.01697i −0.268293 0.121165i
\(621\) 3.45604 + 7.76240i 0.138686 + 0.311494i
\(622\) −1.57807 9.96354i −0.0632749 0.399502i
\(623\) −5.79335 + 32.9979i −0.232106 + 1.32203i
\(624\) 20.4181i 0.817376i
\(625\) 23.0497 9.68055i 0.921987 0.387222i
\(626\) −10.4927 + 6.05796i −0.419372 + 0.242125i
\(627\) −16.7216 + 25.7490i −0.667795 + 1.02831i
\(628\) −0.794388 + 2.06945i −0.0316995 + 0.0825801i
\(629\) 10.8523 + 7.88463i 0.432708 + 0.314381i
\(630\) 3.79602 + 6.92276i 0.151237 + 0.275810i
\(631\) 32.3943 23.5358i 1.28960 0.936947i 0.289799 0.957087i \(-0.406411\pi\)
0.999797 + 0.0201409i \(0.00641148\pi\)
\(632\) −1.62756 6.07412i −0.0647407 0.241616i
\(633\) −45.6809 + 17.5352i −1.81565 + 0.696963i
\(634\) −16.6358 14.9789i −0.660691 0.594889i
\(635\) 4.62476 2.96853i 0.183528 0.117802i
\(636\) −8.88511 2.88695i −0.352318 0.114475i
\(637\) 10.0217 11.5630i 0.397074 0.458143i
\(638\) 10.5295 20.6654i 0.416868 0.818149i
\(639\) −4.18509 + 3.76827i −0.165560 + 0.149071i
\(640\) 8.05481 29.4342i 0.318395 1.16349i
\(641\) −24.6903 + 27.4213i −0.975207 + 1.08308i 0.0213172 + 0.999773i \(0.493214\pi\)
−0.996524 + 0.0833043i \(0.973453\pi\)
\(642\) 22.6860 28.0148i 0.895344 1.10566i
\(643\) −15.3835 + 15.3835i −0.606667 + 0.606667i −0.942074 0.335406i \(-0.891126\pi\)
0.335406 + 0.942074i \(0.391126\pi\)
\(644\) −2.39733 + 1.33117i −0.0944681 + 0.0524555i
\(645\) 6.11305 + 0.0324948i 0.240701 + 0.00127948i
\(646\) 55.2002 24.5767i 2.17182 0.966958i
\(647\) 27.3587 22.1547i 1.07558 0.870990i 0.0834914 0.996508i \(-0.473393\pi\)
0.992091 + 0.125519i \(0.0400596\pi\)
\(648\) −21.3522 13.8663i −0.838793 0.544718i
\(649\) 10.9605 18.9842i 0.430238 0.745193i
\(650\) 16.4303 + 5.53233i 0.644451 + 0.216996i
\(651\) 26.3213 + 19.8041i 1.03161 + 0.776184i
\(652\) 3.57373 + 7.01384i 0.139958 + 0.274683i
\(653\) 28.9416 + 11.1096i 1.13257 + 0.434754i 0.851198 0.524844i \(-0.175876\pi\)
0.281374 + 0.959598i \(0.409210\pi\)
\(654\) 3.17668 30.2241i 0.124218 1.18186i
\(655\) −2.52537 12.1994i −0.0986744 0.476672i
\(656\) −42.2597 + 4.44167i −1.64996 + 0.173418i
\(657\) 4.92657 + 4.92657i 0.192204 + 0.192204i
\(658\) 2.67528 + 10.6964i 0.104293 + 0.416989i
\(659\) 6.75492 2.19481i 0.263134 0.0854976i −0.174479 0.984661i \(-0.555824\pi\)
0.437613 + 0.899163i \(0.355824\pi\)
\(660\) −2.98454 + 3.64580i −0.116173 + 0.141913i
\(661\) −0.998752 4.69876i −0.0388469 0.182760i 0.954446 0.298383i \(-0.0964472\pi\)
−0.993293 + 0.115622i \(0.963114\pi\)
\(662\) 0.854740 + 16.3094i 0.0332204 + 0.633884i
\(663\) 18.2029 11.8211i 0.706941 0.459093i
\(664\) −2.12387 + 6.53659i −0.0824220 + 0.253669i
\(665\) −33.9463 28.7502i −1.31638 1.11489i
\(666\) 1.09196 + 3.36069i 0.0423124 + 0.130224i
\(667\) −10.9546 8.87088i −0.424165 0.343482i
\(668\) −8.42942 2.25866i −0.326144 0.0873901i
\(669\) −10.3844 + 23.3238i −0.401484 + 0.901749i
\(670\) −4.68057 10.6649i −0.180826 0.412022i
\(671\) 10.5039 14.4574i 0.405498 0.558120i
\(672\) 6.93307 13.0624i 0.267449 0.503894i
\(673\) −11.7311 + 5.97729i −0.452201 + 0.230408i −0.665231 0.746638i \(-0.731667\pi\)
0.213030 + 0.977046i \(0.431667\pi\)
\(674\) 35.3100 + 20.3863i 1.36009 + 0.785249i
\(675\) −16.5805 + 13.1372i −0.638183 + 0.505652i
\(676\) −2.12143 3.67442i −0.0815934 0.141324i
\(677\) −2.48338 + 47.3857i −0.0954440 + 1.82118i 0.362261 + 0.932077i \(0.382005\pi\)
−0.457706 + 0.889104i \(0.651329\pi\)
\(678\) 28.1453 4.45777i 1.08091 0.171200i
\(679\) −6.08102 + 6.53074i −0.233368 + 0.250627i
\(680\) −25.4028 + 8.10485i −0.974154 + 0.310807i
\(681\) −0.634543 6.03727i −0.0243157 0.231349i
\(682\) −5.43288 + 20.2758i −0.208036 + 0.776400i
\(683\) −6.39766 16.6665i −0.244800 0.637725i 0.755039 0.655680i \(-0.227618\pi\)
−0.999839 + 0.0179550i \(0.994284\pi\)
\(684\) 3.19339 + 0.678776i 0.122102 + 0.0259537i
\(685\) −20.0738 + 3.07009i −0.766981 + 0.117302i
\(686\) −27.4024 + 10.5884i −1.04623 + 0.404266i
\(687\) 0.932248 + 0.475004i 0.0355675 + 0.0181225i
\(688\) −3.62062 5.57526i −0.138035 0.212555i
\(689\) 19.7497 4.19792i 0.752403 0.159928i
\(690\) 8.72834 + 10.8965i 0.332282 + 0.414824i
\(691\) 1.63598 7.69670i 0.0622357 0.292796i −0.936012 0.351968i \(-0.885513\pi\)
0.998248 + 0.0591718i \(0.0188460\pi\)
\(692\) −9.55468 1.51331i −0.363214 0.0575275i
\(693\) 3.65214 2.85770i 0.138733 0.108555i
\(694\) 4.25473 + 5.85614i 0.161507 + 0.222296i
\(695\) −38.9251 8.49029i −1.47651 0.322055i
\(696\) 32.2024 + 3.38461i 1.22063 + 0.128293i
\(697\) 28.4261 + 35.1033i 1.07672 + 1.32963i
\(698\) −56.1071 2.94045i −2.12368 0.111298i
\(699\) −48.6441 −1.83989
\(700\) −4.69347 4.95746i −0.177396 0.187374i
\(701\) 21.0860 0.796406 0.398203 0.917297i \(-0.369634\pi\)
0.398203 + 0.917297i \(0.369634\pi\)
\(702\) −14.6497 0.767757i −0.552917 0.0289771i
\(703\) −12.5298 15.4730i −0.472571 0.583577i
\(704\) −10.3758 1.09054i −0.391052 0.0411012i
\(705\) 10.5434 4.62723i 0.397087 0.174271i
\(706\) 9.96981 + 13.7223i 0.375219 + 0.516444i
\(707\) −6.96785 2.80922i −0.262053 0.105652i
\(708\) −10.5117 1.66489i −0.395054 0.0625703i
\(709\) 0.596764 2.80755i 0.0224119 0.105440i −0.965520 0.260329i \(-0.916169\pi\)
0.987932 + 0.154890i \(0.0495022\pi\)
\(710\) 13.0362 19.8422i 0.489239 0.744666i
\(711\) −2.19855 + 0.467316i −0.0824521 + 0.0175257i
\(712\) −16.2336 24.9976i −0.608381 0.936824i
\(713\) 11.3671 + 5.79180i 0.425699 + 0.216905i
\(714\) −41.5084 + 3.66234i −1.55341 + 0.137060i
\(715\) 1.64639 10.0489i 0.0615714 0.375806i
\(716\) 4.95146 + 1.05247i 0.185045 + 0.0393325i
\(717\) −19.1619 49.9184i −0.715613 1.86424i
\(718\) −1.56704 + 5.84827i −0.0584814 + 0.218256i
\(719\) 0.593697 + 5.64865i 0.0221412 + 0.210659i 0.999999 + 0.00138897i \(0.000442124\pi\)
−0.977858 + 0.209270i \(0.932891\pi\)
\(720\) −8.51216 2.81588i −0.317230 0.104942i
\(721\) 18.4620 5.65929i 0.687562 0.210763i
\(722\) −58.8143 + 9.31526i −2.18884 + 0.346678i
\(723\) −1.96346 + 37.4651i −0.0730220 + 1.39334i
\(724\) 0.216584 + 0.375135i 0.00804929 + 0.0139418i
\(725\) 14.6138 31.9058i 0.542742 1.18495i
\(726\) −17.9310 10.3525i −0.665481 0.384216i
\(727\) 37.1735 18.9408i 1.37869 0.702477i 0.401701 0.915771i \(-0.368419\pi\)
0.976988 + 0.213294i \(0.0684191\pi\)
\(728\) 0.485123 + 13.6047i 0.0179799 + 0.504223i
\(729\) 9.27315 12.7634i 0.343450 0.472718i
\(730\) −25.3586 14.8211i −0.938563 0.548552i
\(731\) −2.87423 + 6.45562i −0.106307 + 0.238770i
\(732\) −8.38045 2.24553i −0.309750 0.0829973i
\(733\) −26.8750 21.7630i −0.992652 0.803834i −0.0120672 0.999927i \(-0.503841\pi\)
−0.980585 + 0.196093i \(0.937175\pi\)
\(734\) −4.08138 12.5612i −0.150647 0.463642i
\(735\) 15.6991 + 26.3565i 0.579070 + 0.972175i
\(736\) 1.76991 5.44722i 0.0652397 0.200787i
\(737\) −5.73720 + 3.72578i −0.211333 + 0.137241i
\(738\) 0.622739 + 11.8826i 0.0229233 + 0.437404i
\(739\) 1.72889 + 8.13381i 0.0635984 + 0.299207i 0.998438 0.0558621i \(-0.0177907\pi\)
−0.934840 + 0.355069i \(0.884457\pi\)
\(740\) −1.65047 2.57133i −0.0606726 0.0945238i
\(741\) −30.6384 + 9.95501i −1.12553 + 0.365706i
\(742\) −37.2701 10.6573i −1.36823 0.391242i
\(743\) 10.0390 + 10.0390i 0.368295 + 0.368295i 0.866855 0.498560i \(-0.166138\pi\)
−0.498560 + 0.866855i \(0.666138\pi\)
\(744\) −29.1447 + 3.06324i −1.06850 + 0.112304i
\(745\) −13.4732 + 29.8334i −0.493619 + 1.09301i
\(746\) −2.89015 + 27.4979i −0.105816 + 1.00677i
\(747\) 2.29345 + 0.880372i 0.0839128 + 0.0322111i
\(748\) −2.47264 4.85283i −0.0904086 0.177437i
\(749\) 18.4447 24.5145i 0.673954 0.895740i
\(750\) −20.8761 + 27.7906i −0.762288 + 1.01477i
\(751\) 19.9959 34.6339i 0.729661 1.26381i −0.227365 0.973810i \(-0.573011\pi\)
0.957026 0.290000i \(-0.0936555\pi\)
\(752\) −10.5010 6.81943i −0.382932 0.248679i
\(753\) 11.4193 9.24716i 0.416142 0.336985i
\(754\) 22.2322 9.89842i 0.809650 0.360479i
\(755\) −29.2466 + 21.0123i −1.06439 + 0.764715i
\(756\) 4.95371 + 2.97152i 0.180165 + 0.108073i
\(757\) 12.1964 12.1964i 0.443287 0.443287i −0.449828 0.893115i \(-0.648515\pi\)
0.893115 + 0.449828i \(0.148515\pi\)
\(758\) −10.8978 + 13.4577i −0.395826 + 0.488805i
\(759\) 5.48704 6.09398i 0.199167 0.221197i
\(760\) 39.5332 1.86119i 1.43402 0.0675123i
\(761\) 7.43933 6.69840i 0.269676 0.242817i −0.523186 0.852218i \(-0.675257\pi\)
0.792862 + 0.609401i \(0.208590\pi\)
\(762\) −3.46873 + 6.80777i −0.125659 + 0.246619i
\(763\) 1.78513 25.8018i 0.0646261 0.934088i
\(764\) 1.33536 + 0.433884i 0.0483116 + 0.0156974i
\(765\) 2.41776 + 9.21893i 0.0874141 + 0.333311i
\(766\) 19.5597 + 17.6116i 0.706721 + 0.636334i
\(767\) 21.4735 8.24291i 0.775364 0.297634i
\(768\) 5.90038 + 22.0205i 0.212912 + 0.794597i
\(769\) 33.7752 24.5391i 1.21796 0.884902i 0.222034 0.975039i \(-0.428730\pi\)
0.995929 + 0.0901368i \(0.0287304\pi\)
\(770\) −11.8367 + 15.5591i −0.426565 + 0.560710i
\(771\) −21.7061 15.7704i −0.781728 0.567959i
\(772\) 1.29638 3.37719i 0.0466578 0.121548i