Properties

Label 280.2.bj.e.171.5
Level $280$
Weight $2$
Character 280.171
Analytic conductor $2.236$
Analytic rank $0$
Dimension $24$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 280.bj (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.23581125660\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(12\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 171.5
Character \(\chi\) \(=\) 280.171
Dual form 280.2.bj.e.131.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.477071 + 1.33132i) q^{2} +(-1.84104 - 1.06293i) q^{3} +(-1.54481 - 1.27027i) q^{4} +(0.500000 + 0.866025i) q^{5} +(2.29340 - 1.94392i) q^{6} +(-2.17552 + 1.50569i) q^{7} +(2.42811 - 1.45062i) q^{8} +(0.759621 + 1.31570i) q^{9} +O(q^{10})\) \(q+(-0.477071 + 1.33132i) q^{2} +(-1.84104 - 1.06293i) q^{3} +(-1.54481 - 1.27027i) q^{4} +(0.500000 + 0.866025i) q^{5} +(2.29340 - 1.94392i) q^{6} +(-2.17552 + 1.50569i) q^{7} +(2.42811 - 1.45062i) q^{8} +(0.759621 + 1.31570i) q^{9} +(-1.39149 + 0.252502i) q^{10} +(2.04422 - 3.54069i) q^{11} +(1.49385 + 3.98062i) q^{12} +4.95585 q^{13} +(-0.966671 - 3.61463i) q^{14} -2.12585i q^{15} +(0.772851 + 3.92463i) q^{16} +(2.09103 + 1.20726i) q^{17} +(-2.11401 + 0.383612i) q^{18} +(5.22809 - 3.01844i) q^{19} +(0.327679 - 1.97297i) q^{20} +(5.60566 - 0.459619i) q^{21} +(3.73854 + 4.41066i) q^{22} +(-0.443005 + 0.255769i) q^{23} +(-6.01214 + 0.0897499i) q^{24} +(-0.500000 + 0.866025i) q^{25} +(-2.36429 + 6.59780i) q^{26} +3.14787i q^{27} +(5.27339 + 0.437492i) q^{28} -3.08127i q^{29} +(2.83018 + 1.01418i) q^{30} +(2.30669 - 3.99530i) q^{31} +(-5.59363 - 0.843418i) q^{32} +(-7.52697 + 4.34570i) q^{33} +(-2.60481 + 2.20788i) q^{34} +(-2.39173 - 1.13121i) q^{35} +(0.497824 - 2.99742i) q^{36} +(8.64910 - 4.99356i) q^{37} +(1.52433 + 8.40025i) q^{38} +(-9.12392 - 5.26770i) q^{39} +(2.47033 + 1.37749i) q^{40} +5.81092i q^{41} +(-2.06240 + 7.68218i) q^{42} -10.7069 q^{43} +(-7.65553 + 2.87298i) q^{44} +(-0.759621 + 1.31570i) q^{45} +(-0.129165 - 0.711800i) q^{46} +(0.698912 + 1.21055i) q^{47} +(2.74874 - 8.04688i) q^{48} +(2.46579 - 6.55133i) q^{49} +(-0.914418 - 1.07881i) q^{50} +(-2.56645 - 4.44522i) q^{51} +(-7.65582 - 6.29524i) q^{52} +(-6.79325 - 3.92208i) q^{53} +(-4.19081 - 1.50176i) q^{54} +4.08843 q^{55} +(-3.09822 + 6.81183i) q^{56} -12.8335 q^{57} +(4.10214 + 1.46998i) q^{58} +(8.82516 + 5.09521i) q^{59} +(-2.70039 + 3.28403i) q^{60} +(-1.33141 - 2.30607i) q^{61} +(4.21856 + 4.97698i) q^{62} +(-3.63361 - 1.71859i) q^{63} +(3.79141 - 7.04451i) q^{64} +(2.47792 + 4.29189i) q^{65} +(-2.19460 - 12.0940i) q^{66} +(3.46437 - 6.00046i) q^{67} +(-1.69670 - 4.52115i) q^{68} +1.08745 q^{69} +(2.64703 - 2.64448i) q^{70} -1.54183i q^{71} +(3.75302 + 2.09275i) q^{72} +(6.99634 + 4.03934i) q^{73} +(2.52177 + 13.8970i) q^{74} +(1.84104 - 1.06293i) q^{75} +(-11.9106 - 1.97816i) q^{76} +(0.883939 + 10.7808i) q^{77} +(11.3657 - 9.63375i) q^{78} +(3.21095 - 1.85384i) q^{79} +(-3.01240 + 2.63162i) q^{80} +(5.62481 - 9.74247i) q^{81} +(-7.73618 - 2.77222i) q^{82} -9.94035i q^{83} +(-9.24350 - 6.41066i) q^{84} +2.41452i q^{85} +(5.10793 - 14.2542i) q^{86} +(-3.27516 + 5.67274i) q^{87} +(-0.172607 - 11.5625i) q^{88} +(-3.81064 + 2.20007i) q^{89} +(-1.38922 - 1.63898i) q^{90} +(-10.7816 + 7.46197i) q^{91} +(1.00925 + 0.167621i) q^{92} +(-8.49342 + 4.90368i) q^{93} +(-1.94506 + 0.352954i) q^{94} +(5.22809 + 3.01844i) q^{95} +(9.40160 + 7.49837i) q^{96} -5.67803i q^{97} +(7.54553 + 6.40820i) q^{98} +6.21132 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q - 3q^{2} + 12q^{3} + q^{4} + 12q^{5} + 2q^{6} - 10q^{7} - 6q^{8} + 12q^{9} + O(q^{10}) \) \( 24q - 3q^{2} + 12q^{3} + q^{4} + 12q^{5} + 2q^{6} - 10q^{7} - 6q^{8} + 12q^{9} - 3q^{10} + 8q^{11} + 8q^{12} - 20q^{13} - 15q^{14} - 3q^{16} + 6q^{17} - 27q^{18} + 18q^{19} + 2q^{20} + 26q^{21} - 16q^{22} - 18q^{23} + 6q^{24} - 12q^{25} - 29q^{26} + 3q^{28} + 10q^{30} + 6q^{31} - 33q^{32} + 12q^{33} + 20q^{34} - 8q^{35} - 22q^{36} + 9q^{38} + 18q^{39} - 3q^{40} - 12q^{42} + 32q^{43} - 25q^{44} - 12q^{45} + 53q^{46} + 14q^{48} + 8q^{49} - 22q^{51} - 31q^{52} - 30q^{53} + 10q^{54} + 16q^{55} + 16q^{56} - 44q^{57} + 30q^{58} - 18q^{59} + 10q^{60} - 22q^{61} - 8q^{62} + 12q^{63} + 58q^{64} - 10q^{65} - 8q^{66} - 8q^{67} - 6q^{68} + 12q^{69} + 3q^{70} - 23q^{72} + 30q^{73} - 43q^{74} - 12q^{75} - 8q^{76} + 32q^{77} - 8q^{78} - 6q^{79} + 3q^{80} - 4q^{81} - 27q^{82} - 16q^{84} - 36q^{86} - 14q^{87} + 49q^{88} - 60q^{89} - 24q^{90} + 18q^{91} - 38q^{92} + 18q^{93} + 11q^{94} + 18q^{95} + 2q^{96} - 19q^{98} - 56q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).

\(n\) \(57\) \(71\) \(141\) \(241\)
\(\chi(n)\) \(1\) \(-1\) \(-1\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.477071 + 1.33132i −0.337340 + 0.941383i
\(3\) −1.84104 1.06293i −1.06293 0.613680i −0.136685 0.990615i \(-0.543645\pi\)
−0.926240 + 0.376934i \(0.876978\pi\)
\(4\) −1.54481 1.27027i −0.772403 0.635133i
\(5\) 0.500000 + 0.866025i 0.223607 + 0.387298i
\(6\) 2.29340 1.94392i 0.936276 0.793601i
\(7\) −2.17552 + 1.50569i −0.822270 + 0.569097i
\(8\) 2.42811 1.45062i 0.858466 0.512871i
\(9\) 0.759621 + 1.31570i 0.253207 + 0.438567i
\(10\) −1.39149 + 0.252502i −0.440028 + 0.0798482i
\(11\) 2.04422 3.54069i 0.616354 1.06756i −0.373791 0.927513i \(-0.621942\pi\)
0.990145 0.140044i \(-0.0447245\pi\)
\(12\) 1.49385 + 3.98062i 0.431238 + 1.14911i
\(13\) 4.95585 1.37450 0.687252 0.726419i \(-0.258817\pi\)
0.687252 + 0.726419i \(0.258817\pi\)
\(14\) −0.966671 3.61463i −0.258354 0.966050i
\(15\) 2.12585i 0.548892i
\(16\) 0.772851 + 3.92463i 0.193213 + 0.981157i
\(17\) 2.09103 + 1.20726i 0.507150 + 0.292803i 0.731661 0.681668i \(-0.238745\pi\)
−0.224511 + 0.974471i \(0.572079\pi\)
\(18\) −2.11401 + 0.383612i −0.498277 + 0.0904182i
\(19\) 5.22809 3.01844i 1.19941 0.692478i 0.238984 0.971024i \(-0.423186\pi\)
0.960423 + 0.278546i \(0.0898525\pi\)
\(20\) 0.327679 1.97297i 0.0732713 0.441170i
\(21\) 5.60566 0.459619i 1.22326 0.100297i
\(22\) 3.73854 + 4.41066i 0.797059 + 0.940356i
\(23\) −0.443005 + 0.255769i −0.0923730 + 0.0533316i −0.545475 0.838127i \(-0.683651\pi\)
0.453102 + 0.891459i \(0.350317\pi\)
\(24\) −6.01214 + 0.0897499i −1.22722 + 0.0183201i
\(25\) −0.500000 + 0.866025i −0.100000 + 0.173205i
\(26\) −2.36429 + 6.59780i −0.463676 + 1.29394i
\(27\) 3.14787i 0.605808i
\(28\) 5.27339 + 0.437492i 0.996576 + 0.0826781i
\(29\) 3.08127i 0.572177i −0.958203 0.286088i \(-0.907645\pi\)
0.958203 0.286088i \(-0.0923551\pi\)
\(30\) 2.83018 + 1.01418i 0.516718 + 0.185164i
\(31\) 2.30669 3.99530i 0.414294 0.717578i −0.581060 0.813861i \(-0.697362\pi\)
0.995354 + 0.0962826i \(0.0306953\pi\)
\(32\) −5.59363 0.843418i −0.988823 0.149097i
\(33\) −7.52697 + 4.34570i −1.31028 + 0.756489i
\(34\) −2.60481 + 2.20788i −0.446722 + 0.378648i
\(35\) −2.39173 1.13121i −0.404276 0.191210i
\(36\) 0.497824 2.99742i 0.0829706 0.499571i
\(37\) 8.64910 4.99356i 1.42190 0.820937i 0.425442 0.904986i \(-0.360119\pi\)
0.996462 + 0.0840489i \(0.0267852\pi\)
\(38\) 1.52433 + 8.40025i 0.247278 + 1.36270i
\(39\) −9.12392 5.26770i −1.46100 0.843507i
\(40\) 2.47033 + 1.37749i 0.390593 + 0.217801i
\(41\) 5.81092i 0.907514i 0.891126 + 0.453757i \(0.149917\pi\)
−0.891126 + 0.453757i \(0.850083\pi\)
\(42\) −2.06240 + 7.68218i −0.318235 + 1.18539i
\(43\) −10.7069 −1.63278 −0.816390 0.577501i \(-0.804028\pi\)
−0.816390 + 0.577501i \(0.804028\pi\)
\(44\) −7.65553 + 2.87298i −1.15411 + 0.433118i
\(45\) −0.759621 + 1.31570i −0.113238 + 0.196133i
\(46\) −0.129165 0.711800i −0.0190443 0.104949i
\(47\) 0.698912 + 1.21055i 0.101947 + 0.176577i 0.912487 0.409106i \(-0.134160\pi\)
−0.810540 + 0.585683i \(0.800826\pi\)
\(48\) 2.74874 8.04688i 0.396746 1.16147i
\(49\) 2.46579 6.55133i 0.352256 0.935904i
\(50\) −0.914418 1.07881i −0.129318 0.152567i
\(51\) −2.56645 4.44522i −0.359375 0.622456i
\(52\) −7.65582 6.29524i −1.06167 0.872993i
\(53\) −6.79325 3.92208i −0.933124 0.538739i −0.0453258 0.998972i \(-0.514433\pi\)
−0.887798 + 0.460233i \(0.847766\pi\)
\(54\) −4.19081 1.50176i −0.570297 0.204364i
\(55\) 4.08843 0.551284
\(56\) −3.09822 + 6.81183i −0.414017 + 0.910269i
\(57\) −12.8335 −1.69984
\(58\) 4.10214 + 1.46998i 0.538637 + 0.193018i
\(59\) 8.82516 + 5.09521i 1.14894 + 0.663339i 0.948628 0.316393i \(-0.102472\pi\)
0.200310 + 0.979733i \(0.435805\pi\)
\(60\) −2.70039 + 3.28403i −0.348619 + 0.423966i
\(61\) −1.33141 2.30607i −0.170469 0.295262i 0.768115 0.640312i \(-0.221195\pi\)
−0.938584 + 0.345051i \(0.887862\pi\)
\(62\) 4.21856 + 4.97698i 0.535757 + 0.632077i
\(63\) −3.63361 1.71859i −0.457792 0.216521i
\(64\) 3.79141 7.04451i 0.473927 0.880564i
\(65\) 2.47792 + 4.29189i 0.307349 + 0.532343i
\(66\) −2.19460 12.0940i −0.270136 1.48867i
\(67\) 3.46437 6.00046i 0.423240 0.733073i −0.573014 0.819545i \(-0.694226\pi\)
0.996254 + 0.0864725i \(0.0275595\pi\)
\(68\) −1.69670 4.52115i −0.205755 0.548270i
\(69\) 1.08745 0.130914
\(70\) 2.64703 2.64448i 0.316380 0.316075i
\(71\) 1.54183i 0.182981i −0.995806 0.0914906i \(-0.970837\pi\)
0.995806 0.0914906i \(-0.0291631\pi\)
\(72\) 3.75302 + 2.09275i 0.442298 + 0.246632i
\(73\) 6.99634 + 4.03934i 0.818859 + 0.472769i 0.850023 0.526746i \(-0.176588\pi\)
−0.0311636 + 0.999514i \(0.509921\pi\)
\(74\) 2.52177 + 13.8970i 0.293150 + 1.61549i
\(75\) 1.84104 1.06293i 0.212585 0.122736i
\(76\) −11.9106 1.97816i −1.36624 0.226911i
\(77\) 0.883939 + 10.7808i 0.100734 + 1.22859i
\(78\) 11.3657 9.63375i 1.28692 1.09081i
\(79\) 3.21095 1.85384i 0.361260 0.208574i −0.308373 0.951265i \(-0.599785\pi\)
0.669633 + 0.742692i \(0.266451\pi\)
\(80\) −3.01240 + 2.63162i −0.336797 + 0.294224i
\(81\) 5.62481 9.74247i 0.624979 1.08250i
\(82\) −7.73618 2.77222i −0.854318 0.306141i
\(83\) 9.94035i 1.09109i −0.838080 0.545547i \(-0.816322\pi\)
0.838080 0.545547i \(-0.183678\pi\)
\(84\) −9.24350 6.41066i −1.00855 0.699460i
\(85\) 2.41452i 0.261891i
\(86\) 5.10793 14.2542i 0.550803 1.53707i
\(87\) −3.27516 + 5.67274i −0.351134 + 0.608181i
\(88\) −0.172607 11.5625i −0.0184000 1.23257i
\(89\) −3.81064 + 2.20007i −0.403927 + 0.233207i −0.688177 0.725543i \(-0.741589\pi\)
0.284250 + 0.958750i \(0.408255\pi\)
\(90\) −1.38922 1.63898i −0.146437 0.172764i
\(91\) −10.7816 + 7.46197i −1.13021 + 0.782227i
\(92\) 1.00925 + 0.167621i 0.105222 + 0.0174756i
\(93\) −8.49342 + 4.90368i −0.880727 + 0.508488i
\(94\) −1.94506 + 0.352954i −0.200617 + 0.0364044i
\(95\) 5.22809 + 3.01844i 0.536391 + 0.309685i
\(96\) 9.40160 + 7.49837i 0.959547 + 0.765300i
\(97\) 5.67803i 0.576517i −0.957553 0.288258i \(-0.906924\pi\)
0.957553 0.288258i \(-0.0930762\pi\)
\(98\) 7.54553 + 6.40820i 0.762213 + 0.647326i
\(99\) 6.21132 0.624261
\(100\) 1.87249 0.702708i 0.187249 0.0702708i
\(101\) −7.38908 + 12.7983i −0.735241 + 1.27348i 0.219376 + 0.975640i \(0.429598\pi\)
−0.954617 + 0.297835i \(0.903735\pi\)
\(102\) 7.14238 1.29607i 0.707201 0.128330i
\(103\) 4.73633 + 8.20356i 0.466684 + 0.808321i 0.999276 0.0380514i \(-0.0121151\pi\)
−0.532591 + 0.846373i \(0.678782\pi\)
\(104\) 12.0333 7.18904i 1.17997 0.704944i
\(105\) 3.20087 + 4.62484i 0.312373 + 0.451338i
\(106\) 8.46239 7.17285i 0.821940 0.696688i
\(107\) 9.53855 + 16.5212i 0.922126 + 1.59717i 0.796119 + 0.605140i \(0.206883\pi\)
0.126007 + 0.992029i \(0.459784\pi\)
\(108\) 3.99863 4.86285i 0.384769 0.467928i
\(109\) −0.554540 0.320164i −0.0531153 0.0306662i 0.473207 0.880951i \(-0.343096\pi\)
−0.526323 + 0.850285i \(0.676430\pi\)
\(110\) −1.95047 + 5.44300i −0.185970 + 0.518969i
\(111\) −21.2311 −2.01517
\(112\) −7.59063 7.37444i −0.717247 0.696819i
\(113\) −14.8422 −1.39623 −0.698117 0.715984i \(-0.745978\pi\)
−0.698117 + 0.715984i \(0.745978\pi\)
\(114\) 6.12250 17.0855i 0.573424 1.60020i
\(115\) −0.443005 0.255769i −0.0413105 0.0238506i
\(116\) −3.91403 + 4.75996i −0.363408 + 0.441951i
\(117\) 3.76457 + 6.52042i 0.348034 + 0.602813i
\(118\) −10.9936 + 9.31830i −1.01204 + 0.857819i
\(119\) −6.36685 + 0.522030i −0.583648 + 0.0478544i
\(120\) −3.08380 5.16179i −0.281511 0.471205i
\(121\) −2.85764 4.94958i −0.259786 0.449962i
\(122\) 3.70528 0.672367i 0.335460 0.0608733i
\(123\) 6.17658 10.6981i 0.556923 0.964619i
\(124\) −8.63849 + 3.24186i −0.775759 + 0.291128i
\(125\) −1.00000 −0.0894427
\(126\) 4.02147 4.01760i 0.358261 0.357916i
\(127\) 7.19222i 0.638207i 0.947720 + 0.319103i \(0.103382\pi\)
−0.947720 + 0.319103i \(0.896618\pi\)
\(128\) 7.56970 + 8.40831i 0.669073 + 0.743196i
\(129\) 19.7118 + 11.3806i 1.73552 + 1.00201i
\(130\) −6.89601 + 1.25136i −0.604820 + 0.109752i
\(131\) −6.50864 + 3.75777i −0.568663 + 0.328318i −0.756615 0.653860i \(-0.773148\pi\)
0.187952 + 0.982178i \(0.439815\pi\)
\(132\) 17.1479 + 2.84799i 1.49253 + 0.247886i
\(133\) −6.82899 + 14.4386i −0.592149 + 1.25198i
\(134\) 6.33576 + 7.47481i 0.547326 + 0.645726i
\(135\) −2.72614 + 1.57394i −0.234628 + 0.135463i
\(136\) 6.82853 0.101937i 0.585541 0.00874102i
\(137\) 1.70968 2.96124i 0.146067 0.252996i −0.783703 0.621135i \(-0.786672\pi\)
0.929771 + 0.368139i \(0.120005\pi\)
\(138\) −0.518793 + 1.44775i −0.0441626 + 0.123240i
\(139\) 11.0468i 0.936981i 0.883468 + 0.468491i \(0.155202\pi\)
−0.883468 + 0.468491i \(0.844798\pi\)
\(140\) 2.25781 + 4.78563i 0.190820 + 0.404460i
\(141\) 2.97156i 0.250251i
\(142\) 2.05266 + 0.735561i 0.172255 + 0.0617269i
\(143\) 10.1308 17.5471i 0.847182 1.46736i
\(144\) −4.57657 + 3.99807i −0.381381 + 0.333173i
\(145\) 2.66845 1.54063i 0.221603 0.127943i
\(146\) −8.71539 + 7.38729i −0.721291 + 0.611376i
\(147\) −11.5032 + 9.44030i −0.948768 + 0.778623i
\(148\) −19.7043 3.27257i −1.61969 0.269004i
\(149\) 8.88620 5.13045i 0.727986 0.420303i −0.0896992 0.995969i \(-0.528591\pi\)
0.817685 + 0.575666i \(0.195257\pi\)
\(150\) 0.536782 + 2.95810i 0.0438281 + 0.241528i
\(151\) 14.2514 + 8.22804i 1.15976 + 0.669588i 0.951247 0.308431i \(-0.0998039\pi\)
0.208514 + 0.978019i \(0.433137\pi\)
\(152\) 8.31577 14.9131i 0.674498 1.20961i
\(153\) 3.66824i 0.296559i
\(154\) −14.7744 3.96641i −1.19055 0.319622i
\(155\) 4.61338 0.370556
\(156\) 7.40331 + 19.7274i 0.592739 + 1.57945i
\(157\) 11.1196 19.2597i 0.887441 1.53709i 0.0445519 0.999007i \(-0.485814\pi\)
0.842890 0.538087i \(-0.180853\pi\)
\(158\) 0.936200 + 5.15921i 0.0744800 + 0.410445i
\(159\) 8.33776 + 14.4414i 0.661227 + 1.14528i
\(160\) −2.06639 5.26593i −0.163363 0.416308i
\(161\) 0.578659 1.22346i 0.0456047 0.0964222i
\(162\) 10.2869 + 12.1363i 0.808212 + 0.953514i
\(163\) −6.48712 11.2360i −0.508111 0.880073i −0.999956 0.00939084i \(-0.997011\pi\)
0.491845 0.870683i \(-0.336323\pi\)
\(164\) 7.38141 8.97675i 0.576392 0.700966i
\(165\) −7.52697 4.34570i −0.585974 0.338312i
\(166\) 13.2337 + 4.74225i 1.02714 + 0.368070i
\(167\) −11.9246 −0.922755 −0.461377 0.887204i \(-0.652645\pi\)
−0.461377 + 0.887204i \(0.652645\pi\)
\(168\) 12.9444 9.24768i 0.998684 0.713474i
\(169\) 11.5604 0.889264
\(170\) −3.21449 1.15190i −0.246540 0.0883465i
\(171\) 7.94273 + 4.58574i 0.607396 + 0.350680i
\(172\) 16.5400 + 13.6006i 1.26116 + 1.03703i
\(173\) −5.55929 9.62897i −0.422665 0.732077i 0.573534 0.819181i \(-0.305572\pi\)
−0.996199 + 0.0871047i \(0.972239\pi\)
\(174\) −5.98972 7.06657i −0.454080 0.535715i
\(175\) −0.216205 2.63690i −0.0163436 0.199331i
\(176\) 15.4758 + 5.28636i 1.16653 + 0.398475i
\(177\) −10.8317 18.7610i −0.814157 1.41016i
\(178\) −1.11105 6.12275i −0.0832765 0.458920i
\(179\) 4.27641 7.40695i 0.319634 0.553622i −0.660778 0.750581i \(-0.729773\pi\)
0.980412 + 0.196960i \(0.0631068\pi\)
\(180\) 2.84476 1.06758i 0.212036 0.0795730i
\(181\) 0.821960 0.0610958 0.0305479 0.999533i \(-0.490275\pi\)
0.0305479 + 0.999533i \(0.490275\pi\)
\(182\) −4.79067 17.9136i −0.355108 1.32784i
\(183\) 5.66075i 0.418455i
\(184\) −0.704641 + 1.26367i −0.0519468 + 0.0931588i
\(185\) 8.64910 + 4.99356i 0.635895 + 0.367134i
\(186\) −2.47638 13.6468i −0.181577 1.00063i
\(187\) 8.54905 4.93580i 0.625168 0.360941i
\(188\) 0.458038 2.75787i 0.0334058 0.201138i
\(189\) −4.73972 6.84826i −0.344764 0.498138i
\(190\) −6.51267 + 5.52023i −0.472479 + 0.400480i
\(191\) −19.4375 + 11.2222i −1.40645 + 0.812012i −0.995043 0.0994420i \(-0.968294\pi\)
−0.411402 + 0.911454i \(0.634961\pi\)
\(192\) −14.4679 + 8.93925i −1.04413 + 0.645135i
\(193\) 2.15591 3.73414i 0.155186 0.268789i −0.777941 0.628337i \(-0.783736\pi\)
0.933127 + 0.359548i \(0.117069\pi\)
\(194\) 7.55926 + 2.70883i 0.542723 + 0.194482i
\(195\) 10.5354i 0.754455i
\(196\) −12.1311 + 6.98831i −0.866507 + 0.499165i
\(197\) 6.67148i 0.475323i −0.971348 0.237662i \(-0.923619\pi\)
0.971348 0.237662i \(-0.0763809\pi\)
\(198\) −2.96324 + 8.26923i −0.210588 + 0.587668i
\(199\) 4.68875 8.12116i 0.332377 0.575693i −0.650601 0.759420i \(-0.725483\pi\)
0.982977 + 0.183727i \(0.0588161\pi\)
\(200\) 0.0422184 + 2.82811i 0.00298529 + 0.199978i
\(201\) −12.7561 + 7.36473i −0.899745 + 0.519468i
\(202\) −13.5134 15.9429i −0.950801 1.12174i
\(203\) 4.63943 + 6.70336i 0.325624 + 0.470484i
\(204\) −1.68195 + 10.1271i −0.117760 + 0.709038i
\(205\) −5.03241 + 2.90546i −0.351479 + 0.202926i
\(206\) −13.1811 + 2.39187i −0.918371 + 0.166649i
\(207\) −0.673032 0.388575i −0.0467790 0.0270079i
\(208\) 3.83013 + 19.4499i 0.265572 + 1.34861i
\(209\) 24.6814i 1.70725i
\(210\) −7.68416 + 2.05500i −0.530258 + 0.141808i
\(211\) 6.08038 0.418590 0.209295 0.977852i \(-0.432883\pi\)
0.209295 + 0.977852i \(0.432883\pi\)
\(212\) 5.51216 + 14.6881i 0.378577 + 1.00878i
\(213\) −1.63885 + 2.83857i −0.112292 + 0.194495i
\(214\) −26.5456 + 4.81701i −1.81462 + 0.329284i
\(215\) −5.35343 9.27241i −0.365101 0.632373i
\(216\) 4.56636 + 7.64337i 0.310701 + 0.520065i
\(217\) 0.997435 + 12.1650i 0.0677103 + 0.825816i
\(218\) 0.690795 0.585528i 0.0467865 0.0396569i
\(219\) −8.58703 14.8732i −0.580258 1.00504i
\(220\) −6.31584 5.19340i −0.425814 0.350139i
\(221\) 10.3628 + 5.98299i 0.697080 + 0.402459i
\(222\) 10.1288 28.2654i 0.679798 1.89705i
\(223\) 15.1265 1.01295 0.506474 0.862255i \(-0.330949\pi\)
0.506474 + 0.862255i \(0.330949\pi\)
\(224\) 13.4390 6.58739i 0.897930 0.440139i
\(225\) −1.51924 −0.101283
\(226\) 7.08077 19.7596i 0.471006 1.31439i
\(227\) −19.6959 11.3714i −1.30726 0.754747i −0.325622 0.945500i \(-0.605574\pi\)
−0.981638 + 0.190753i \(0.938907\pi\)
\(228\) 19.8253 + 16.3020i 1.31296 + 1.07962i
\(229\) 1.35800 + 2.35213i 0.0897393 + 0.155433i 0.907401 0.420266i \(-0.138063\pi\)
−0.817662 + 0.575699i \(0.804730\pi\)
\(230\) 0.551855 0.467760i 0.0363882 0.0308432i
\(231\) 9.83182 20.7875i 0.646886 1.36771i
\(232\) −4.46974 7.48165i −0.293453 0.491194i
\(233\) 8.54513 + 14.8006i 0.559810 + 0.969620i 0.997512 + 0.0704994i \(0.0224593\pi\)
−0.437702 + 0.899120i \(0.644207\pi\)
\(234\) −10.4767 + 1.90112i −0.684884 + 0.124280i
\(235\) −0.698912 + 1.21055i −0.0455920 + 0.0789676i
\(236\) −7.16089 19.0814i −0.466134 1.24209i
\(237\) −7.88199 −0.511990
\(238\) 2.34245 8.72533i 0.151839 0.565579i
\(239\) 14.8013i 0.957416i 0.877974 + 0.478708i \(0.158895\pi\)
−0.877974 + 0.478708i \(0.841105\pi\)
\(240\) 8.34317 1.64297i 0.538549 0.106053i
\(241\) −15.4371 8.91260i −0.994389 0.574111i −0.0878059 0.996138i \(-0.527986\pi\)
−0.906583 + 0.422027i \(0.861319\pi\)
\(242\) 7.95276 1.44312i 0.511222 0.0927674i
\(243\) −12.5326 + 7.23571i −0.803968 + 0.464171i
\(244\) −0.872550 + 5.25367i −0.0558593 + 0.336332i
\(245\) 6.90651 1.14022i 0.441241 0.0728461i
\(246\) 11.2959 + 13.3268i 0.720203 + 0.849683i
\(247\) 25.9096 14.9589i 1.64859 0.951814i
\(248\) −0.194769 13.0472i −0.0123679 0.828495i
\(249\) −10.5658 + 18.3006i −0.669583 + 1.15975i
\(250\) 0.477071 1.33132i 0.0301726 0.0841998i
\(251\) 25.9720i 1.63934i 0.572837 + 0.819669i \(0.305843\pi\)
−0.572837 + 0.819669i \(0.694157\pi\)
\(252\) 3.43017 + 7.27053i 0.216080 + 0.458000i
\(253\) 2.09139i 0.131485i
\(254\) −9.57512 3.43120i −0.600797 0.215293i
\(255\) 2.56645 4.44522i 0.160717 0.278371i
\(256\) −14.8054 + 6.06631i −0.925338 + 0.379144i
\(257\) 8.43972 4.87268i 0.526455 0.303949i −0.213116 0.977027i \(-0.568361\pi\)
0.739572 + 0.673078i \(0.235028\pi\)
\(258\) −24.5551 + 20.8132i −1.52873 + 1.29578i
\(259\) −11.2976 + 23.8865i −0.701996 + 1.48423i
\(260\) 1.62393 9.77776i 0.100712 0.606391i
\(261\) 4.05403 2.34059i 0.250938 0.144879i
\(262\) −1.89769 10.4578i −0.117240 0.646084i
\(263\) 5.12532 + 2.95910i 0.316041 + 0.182466i 0.649626 0.760254i \(-0.274925\pi\)
−0.333586 + 0.942720i \(0.608259\pi\)
\(264\) −11.9723 + 21.4706i −0.736847 + 1.32142i
\(265\) 7.84416i 0.481863i
\(266\) −15.9644 15.9798i −0.978839 0.979783i
\(267\) 9.35405 0.572459
\(268\) −12.9740 + 4.86888i −0.792510 + 0.297414i
\(269\) −10.3914 + 17.9984i −0.633572 + 1.09738i 0.353244 + 0.935531i \(0.385079\pi\)
−0.986816 + 0.161848i \(0.948255\pi\)
\(270\) −0.794845 4.38023i −0.0483727 0.266572i
\(271\) 5.73115 + 9.92664i 0.348143 + 0.603001i 0.985920 0.167221i \(-0.0534792\pi\)
−0.637777 + 0.770221i \(0.720146\pi\)
\(272\) −3.12198 + 9.13956i −0.189298 + 0.554167i
\(273\) 27.7808 2.27780i 1.68137 0.137859i
\(274\) 3.12672 + 3.68884i 0.188892 + 0.222851i
\(275\) 2.04422 + 3.54069i 0.123271 + 0.213511i
\(276\) −1.67991 1.38136i −0.101118 0.0831479i
\(277\) −28.4995 16.4542i −1.71237 0.988638i −0.931343 0.364143i \(-0.881362\pi\)
−0.781029 0.624495i \(-0.785305\pi\)
\(278\) −14.7068 5.27013i −0.882058 0.316082i
\(279\) 7.00884 0.419608
\(280\) −7.44833 + 0.722777i −0.445123 + 0.0431942i
\(281\) −23.6717 −1.41214 −0.706068 0.708144i \(-0.749533\pi\)
−0.706068 + 0.708144i \(0.749533\pi\)
\(282\) 3.95609 + 1.41765i 0.235582 + 0.0844197i
\(283\) −17.3451 10.0142i −1.03106 0.595283i −0.113772 0.993507i \(-0.536293\pi\)
−0.917288 + 0.398224i \(0.869627\pi\)
\(284\) −1.95853 + 2.38182i −0.116217 + 0.141335i
\(285\) −6.41675 11.1141i −0.380096 0.658345i
\(286\) 18.5276 + 21.8586i 1.09556 + 1.29252i
\(287\) −8.74945 12.6418i −0.516464 0.746221i
\(288\) −3.13935 8.00022i −0.184988 0.471418i
\(289\) −5.58505 9.67360i −0.328533 0.569035i
\(290\) 0.778027 + 4.28755i 0.0456873 + 0.251774i
\(291\) −6.03532 + 10.4535i −0.353797 + 0.612794i
\(292\) −5.67695 15.1272i −0.332219 0.885252i
\(293\) −4.76771 −0.278533 −0.139266 0.990255i \(-0.544474\pi\)
−0.139266 + 0.990255i \(0.544474\pi\)
\(294\) −7.08018 19.8181i −0.412925 1.15581i
\(295\) 10.1904i 0.593309i
\(296\) 13.7572 24.6715i 0.799621 1.43400i
\(297\) 11.1456 + 6.43493i 0.646735 + 0.373393i
\(298\) 2.59090 + 14.2779i 0.150087 + 0.827098i
\(299\) −2.19547 + 1.26755i −0.126967 + 0.0733045i
\(300\) −4.19425 0.696597i −0.242155 0.0402181i
\(301\) 23.2930 16.1212i 1.34259 0.929211i
\(302\) −17.7530 + 15.0477i −1.02157 + 0.865900i
\(303\) 27.2072 15.7081i 1.56301 0.902406i
\(304\) 15.8868 + 18.1855i 0.911170 + 1.04301i
\(305\) 1.33141 2.30607i 0.0762362 0.132045i
\(306\) −4.88358 1.75001i −0.279176 0.100041i
\(307\) 14.4066i 0.822231i 0.911583 + 0.411115i \(0.134861\pi\)
−0.911583 + 0.411115i \(0.865139\pi\)
\(308\) 12.3290 17.7771i 0.702508 1.01294i
\(309\) 20.1375i 1.14558i
\(310\) −2.20091 + 6.14187i −0.125003 + 0.348835i
\(311\) −0.00739749 + 0.0128128i −0.000419473 + 0.000726549i −0.866235 0.499637i \(-0.833467\pi\)
0.865816 + 0.500363i \(0.166800\pi\)
\(312\) −29.7953 + 0.444787i −1.68683 + 0.0251811i
\(313\) −12.0601 + 6.96291i −0.681678 + 0.393567i −0.800487 0.599350i \(-0.795426\pi\)
0.118809 + 0.992917i \(0.462092\pi\)
\(314\) 20.3359 + 23.9920i 1.14762 + 1.35395i
\(315\) −0.328467 4.00609i −0.0185070 0.225718i
\(316\) −7.31517 1.21493i −0.411511 0.0683453i
\(317\) −20.7904 + 12.0034i −1.16771 + 0.674176i −0.953139 0.302533i \(-0.902168\pi\)
−0.214568 + 0.976709i \(0.568834\pi\)
\(318\) −23.2038 + 4.21061i −1.30121 + 0.236119i
\(319\) −10.9098 6.29878i −0.610831 0.352664i
\(320\) 7.99644 0.238796i 0.447014 0.0133491i
\(321\) 40.5550i 2.26356i
\(322\) 1.35275 + 1.35406i 0.0753859 + 0.0754586i
\(323\) 14.5762 0.811039
\(324\) −21.0648 + 7.90521i −1.17026 + 0.439178i
\(325\) −2.47792 + 4.29189i −0.137450 + 0.238071i
\(326\) 18.0535 3.27603i 0.999892 0.181442i
\(327\) 0.680621 + 1.17887i 0.0376384 + 0.0651917i
\(328\) 8.42943 + 14.1095i 0.465437 + 0.779069i
\(329\) −3.34321 1.58124i −0.184317 0.0871763i
\(330\) 9.37640 7.94757i 0.516154 0.437499i
\(331\) −0.783208 1.35656i −0.0430490 0.0745630i 0.843698 0.536818i \(-0.180374\pi\)
−0.886747 + 0.462255i \(0.847040\pi\)
\(332\) −12.6269 + 15.3559i −0.692990 + 0.842765i
\(333\) 13.1401 + 7.58643i 0.720072 + 0.415734i
\(334\) 5.68889 15.8754i 0.311282 0.868665i
\(335\) 6.92873 0.378557
\(336\) 6.13618 + 21.6449i 0.334756 + 1.18083i
\(337\) 0.0592518 0.00322765 0.00161383 0.999999i \(-0.499486\pi\)
0.00161383 + 0.999999i \(0.499486\pi\)
\(338\) −5.51515 + 15.3906i −0.299985 + 0.837138i
\(339\) 27.3250 + 15.7761i 1.48409 + 0.856841i
\(340\) 3.06708 3.72996i 0.166336 0.202286i
\(341\) −9.43075 16.3345i −0.510704 0.884565i
\(342\) −9.89432 + 8.38657i −0.535024 + 0.453494i
\(343\) 4.49988 + 17.9653i 0.242970 + 0.970034i
\(344\) −25.9974 + 15.5316i −1.40169 + 0.837406i
\(345\) 0.543727 + 0.941763i 0.0292733 + 0.0507028i
\(346\) 15.4714 2.80746i 0.831746 0.150930i
\(347\) −0.0461825 + 0.0799904i −0.00247921 + 0.00429411i −0.867262 0.497851i \(-0.834122\pi\)
0.864783 + 0.502146i \(0.167456\pi\)
\(348\) 12.2654 4.60296i 0.657492 0.246745i
\(349\) 15.4400 0.826483 0.413241 0.910622i \(-0.364397\pi\)
0.413241 + 0.910622i \(0.364397\pi\)
\(350\) 3.61370 + 0.970153i 0.193160 + 0.0518569i
\(351\) 15.6004i 0.832686i
\(352\) −14.4209 + 18.0811i −0.768634 + 0.963728i
\(353\) −8.58726 4.95786i −0.457054 0.263880i 0.253751 0.967270i \(-0.418336\pi\)
−0.710805 + 0.703389i \(0.751669\pi\)
\(354\) 30.1443 5.47003i 1.60215 0.290729i
\(355\) 1.33526 0.770914i 0.0708683 0.0409158i
\(356\) 8.68137 + 1.44184i 0.460112 + 0.0764171i
\(357\) 12.2765 + 5.80640i 0.649742 + 0.307307i
\(358\) 7.82085 + 9.22690i 0.413345 + 0.487657i
\(359\) 9.04478 5.22201i 0.477365 0.275607i −0.241953 0.970288i \(-0.577788\pi\)
0.719318 + 0.694681i \(0.244455\pi\)
\(360\) 0.0641399 + 4.29659i 0.00338047 + 0.226450i
\(361\) 8.72196 15.1069i 0.459051 0.795099i
\(362\) −0.392134 + 1.09429i −0.0206101 + 0.0575146i
\(363\) 12.1498i 0.637701i
\(364\) 26.1341 + 2.16814i 1.36980 + 0.113642i
\(365\) 8.07867i 0.422857i
\(366\) −7.53625 2.70058i −0.393926 0.141162i
\(367\) −14.3708 + 24.8910i −0.750152 + 1.29930i 0.197596 + 0.980283i \(0.436686\pi\)
−0.947749 + 0.319018i \(0.896647\pi\)
\(368\) −1.34618 1.54096i −0.0701743 0.0803281i
\(369\) −7.64544 + 4.41410i −0.398006 + 0.229789i
\(370\) −10.7743 + 9.13241i −0.560127 + 0.474771i
\(371\) 20.6843 1.69595i 1.07388 0.0880491i
\(372\) 19.3497 + 3.21367i 1.00323 + 0.166621i
\(373\) −8.93722 + 5.15991i −0.462752 + 0.267170i −0.713201 0.700960i \(-0.752755\pi\)
0.250449 + 0.968130i \(0.419422\pi\)
\(374\) 2.49260 + 13.7362i 0.128889 + 0.710283i
\(375\) 1.84104 + 1.06293i 0.0950709 + 0.0548892i
\(376\) 3.45308 + 1.92549i 0.178079 + 0.0992997i
\(377\) 15.2703i 0.786460i
\(378\) 11.3784 3.04295i 0.585241 0.156513i
\(379\) −20.1192 −1.03346 −0.516728 0.856150i \(-0.672850\pi\)
−0.516728 + 0.856150i \(0.672850\pi\)
\(380\) −4.24217 11.3040i −0.217619 0.579881i
\(381\) 7.64480 13.2412i 0.391655 0.678366i
\(382\) −5.66728 31.2312i −0.289963 1.59793i
\(383\) −15.9182 27.5710i −0.813380 1.40881i −0.910486 0.413541i \(-0.864292\pi\)
0.0971062 0.995274i \(-0.469041\pi\)
\(384\) −4.99873 23.5261i −0.255090 1.20056i
\(385\) −8.89448 + 6.15591i −0.453304 + 0.313734i
\(386\) 3.94280 + 4.65164i 0.200683 + 0.236762i
\(387\) −8.13315 14.0870i −0.413431 0.716084i
\(388\) −7.21261 + 8.77146i −0.366165 + 0.445303i
\(389\) 11.9293 + 6.88741i 0.604842 + 0.349205i 0.770944 0.636903i \(-0.219785\pi\)
−0.166102 + 0.986109i \(0.553118\pi\)
\(390\) 14.0259 + 5.02613i 0.710231 + 0.254508i
\(391\) −1.23512 −0.0624626
\(392\) −3.51626 19.4842i −0.177598 0.984103i
\(393\) 15.9769 0.805928
\(394\) 8.88185 + 3.18277i 0.447461 + 0.160346i
\(395\) 3.21095 + 1.85384i 0.161561 + 0.0932770i
\(396\) −9.59528 7.89002i −0.482181 0.396489i
\(397\) 15.3003 + 26.5009i 0.767900 + 1.33004i 0.938700 + 0.344736i \(0.112031\pi\)
−0.170800 + 0.985306i \(0.554635\pi\)
\(398\) 8.57496 + 10.1166i 0.429824 + 0.507098i
\(399\) 27.9196 19.3233i 1.39773 0.967374i
\(400\) −3.78525 1.29301i −0.189263 0.0646503i
\(401\) 9.62164 + 16.6652i 0.480482 + 0.832219i 0.999749 0.0223928i \(-0.00712846\pi\)
−0.519267 + 0.854612i \(0.673795\pi\)
\(402\) −3.71922 20.4959i −0.185498 1.02224i
\(403\) 11.4316 19.8001i 0.569449 0.986314i
\(404\) 27.6719 10.3847i 1.37673 0.516660i
\(405\) 11.2496 0.558999
\(406\) −11.1376 + 2.97857i −0.552752 + 0.147824i
\(407\) 40.8317i 2.02395i
\(408\) −12.6799 7.07054i −0.627751 0.350044i
\(409\) −4.36225 2.51854i −0.215699 0.124534i 0.388258 0.921551i \(-0.373077\pi\)
−0.603957 + 0.797017i \(0.706410\pi\)
\(410\) −1.46727 8.08584i −0.0724634 0.399331i
\(411\) −6.29516 + 3.63451i −0.310518 + 0.179277i
\(412\) 3.10399 18.6893i 0.152923 0.920756i
\(413\) −26.8711 + 2.20322i −1.32224 + 0.108413i
\(414\) 0.838401 0.710641i 0.0412052 0.0349261i
\(415\) 8.60859 4.97017i 0.422579 0.243976i
\(416\) −27.7212 4.17985i −1.35914 0.204934i
\(417\) 11.7420 20.3377i 0.575007 0.995941i
\(418\) 32.8587 + 11.7748i 1.60717 + 0.575923i
\(419\) 15.6895i 0.766483i −0.923648 0.383242i \(-0.874808\pi\)
0.923648 0.383242i \(-0.125192\pi\)
\(420\) 0.930042 11.2104i 0.0453814 0.547013i
\(421\) 17.3487i 0.845525i −0.906240 0.422763i \(-0.861060\pi\)
0.906240 0.422763i \(-0.138940\pi\)
\(422\) −2.90077 + 8.09491i −0.141207 + 0.394054i
\(423\) −1.06182 + 1.83912i −0.0516273 + 0.0894210i
\(424\) −22.1842 + 0.331168i −1.07736 + 0.0160829i
\(425\) −2.09103 + 1.20726i −0.101430 + 0.0585606i
\(426\) −2.99718 3.53602i −0.145214 0.171321i
\(427\) 6.36873 + 3.01221i 0.308205 + 0.145771i
\(428\) 6.25117 37.6386i 0.302161 1.81933i
\(429\) −37.3025 + 21.5366i −1.80098 + 1.03980i
\(430\) 14.8985 2.70351i 0.718468 0.130375i
\(431\) 6.75727 + 3.90131i 0.325486 + 0.187920i 0.653835 0.756637i \(-0.273159\pi\)
−0.328349 + 0.944556i \(0.606492\pi\)
\(432\) −12.3542 + 2.43284i −0.594393 + 0.117050i
\(433\) 8.76403i 0.421172i 0.977575 + 0.210586i \(0.0675372\pi\)
−0.977575 + 0.210586i \(0.932463\pi\)
\(434\) −16.6714 4.47569i −0.800251 0.214840i
\(435\) −6.55031 −0.314063
\(436\) 0.449964 + 1.19900i 0.0215494 + 0.0574219i
\(437\) −1.54405 + 2.67437i −0.0738619 + 0.127932i
\(438\) 23.8975 4.33649i 1.14187 0.207205i
\(439\) −1.26642 2.19350i −0.0604428 0.104690i 0.834221 0.551431i \(-0.185918\pi\)
−0.894663 + 0.446741i \(0.852585\pi\)
\(440\) 9.92716 5.93076i 0.473259 0.282738i
\(441\) 10.4927 1.73227i 0.499650 0.0824892i
\(442\) −12.9091 + 10.9419i −0.614022 + 0.520454i
\(443\) −14.7957 25.6269i −0.702964 1.21757i −0.967421 0.253172i \(-0.918526\pi\)
0.264458 0.964397i \(-0.414807\pi\)
\(444\) 32.7980 + 26.9692i 1.55652 + 1.27990i
\(445\) −3.81064 2.20007i −0.180642 0.104293i
\(446\) −7.21643 + 20.1382i −0.341708 + 0.953571i
\(447\) −21.8131 −1.03173
\(448\) 2.35855 + 21.0342i 0.111431 + 0.993772i
\(449\) −12.4051 −0.585434 −0.292717 0.956199i \(-0.594559\pi\)
−0.292717 + 0.956199i \(0.594559\pi\)
\(450\) 0.724787 2.02259i 0.0341668 0.0953459i
\(451\) 20.5747 + 11.8788i 0.968823 + 0.559350i
\(452\) 22.9283 + 18.8535i 1.07845 + 0.886794i
\(453\) −17.4916 30.2963i −0.821826 1.42344i
\(454\) 24.5353 20.7964i 1.15150 0.976026i
\(455\) −11.8530 5.60612i −0.555679 0.262819i
\(456\) −31.1611 + 18.6165i −1.45925 + 0.871798i
\(457\) 19.1981 + 33.2521i 0.898049 + 1.55547i 0.829985 + 0.557785i \(0.188349\pi\)
0.0680633 + 0.997681i \(0.478318\pi\)
\(458\) −3.77929 + 0.685798i −0.176595 + 0.0320452i
\(459\) −3.80029 + 6.58230i −0.177383 + 0.307236i
\(460\) 0.359462 + 0.957848i 0.0167600 + 0.0446599i
\(461\) 19.3759 0.902426 0.451213 0.892416i \(-0.350992\pi\)
0.451213 + 0.892416i \(0.350992\pi\)
\(462\) 22.9842 + 23.0064i 1.06932 + 1.07035i
\(463\) 34.4968i 1.60320i 0.597860 + 0.801600i \(0.296018\pi\)
−0.597860 + 0.801600i \(0.703982\pi\)
\(464\) 12.0928 2.38136i 0.561395 0.110552i
\(465\) −8.49342 4.90368i −0.393873 0.227403i
\(466\) −23.7809 + 4.31533i −1.10163 + 0.199904i
\(467\) 18.4058 10.6266i 0.851720 0.491741i −0.00951086 0.999955i \(-0.503027\pi\)
0.861231 + 0.508214i \(0.169694\pi\)
\(468\) 2.46714 14.8548i 0.114044 0.686662i
\(469\) 1.49803 + 18.2704i 0.0691724 + 0.843649i
\(470\) −1.27820 1.50799i −0.0589587 0.0695585i
\(471\) −40.9433 + 23.6386i −1.88657 + 1.08921i
\(472\) 28.8196 0.430223i 1.32653 0.0198026i
\(473\) −21.8871 + 37.9096i −1.00637 + 1.74309i
\(474\) 3.76027 10.4934i 0.172715 0.481979i
\(475\) 6.03688i 0.276991i
\(476\) 10.4987 + 7.28115i 0.481205 + 0.333731i
\(477\) 11.9172i 0.545650i
\(478\) −19.7052 7.06127i −0.901295 0.322975i
\(479\) −2.99806 + 5.19279i −0.136985 + 0.237265i −0.926354 0.376654i \(-0.877075\pi\)
0.789369 + 0.613919i \(0.210408\pi\)
\(480\) −1.79298 + 11.8912i −0.0818380 + 0.542757i
\(481\) 42.8636 24.7473i 1.95441 1.12838i
\(482\) 19.2301 16.2997i 0.875906 0.742430i
\(483\) −2.36578 + 1.63737i −0.107647 + 0.0745029i
\(484\) −1.87278 + 11.2761i −0.0851263 + 0.512550i
\(485\) 4.91732 2.83902i 0.223284 0.128913i
\(486\) −3.65407 20.1368i −0.165752 0.913425i
\(487\) 8.18300 + 4.72445i 0.370807 + 0.214085i 0.673811 0.738904i \(-0.264656\pi\)
−0.303004 + 0.952989i \(0.597990\pi\)
\(488\) −6.57803 3.66801i −0.297773 0.166043i
\(489\) 27.5813i 1.24727i
\(490\) −1.77690 + 9.73872i −0.0802722 + 0.439950i
\(491\) 24.6604 1.11291 0.556454 0.830879i \(-0.312162\pi\)
0.556454 + 0.830879i \(0.312162\pi\)
\(492\) −23.1311 + 8.68067i −1.04283 + 0.391355i
\(493\) 3.71989 6.44303i 0.167535 0.290179i
\(494\) 7.55433 + 41.6304i 0.339885 + 1.87304i
\(495\) 3.10566 + 5.37916i 0.139589 + 0.241775i
\(496\) 17.4628 + 5.96512i 0.784103 + 0.267842i
\(497\) 2.32151 + 3.35428i 0.104134 + 0.150460i
\(498\) −19.3232 22.7972i −0.865894 1.02157i
\(499\) −11.1699 19.3469i −0.500035 0.866086i −1.00000 4.07161e-5i \(-0.999987\pi\)
0.499965 0.866046i \(-0.333346\pi\)
\(500\) 1.54481 + 1.27027i 0.0690858 + 0.0568080i
\(501\) 21.9537 + 12.6750i 0.980820 + 0.566276i
\(502\) −34.5770 12.3905i −1.54324 0.553015i
\(503\) −7.59124 −0.338477 −0.169238 0.985575i \(-0.554131\pi\)
−0.169238 + 0.985575i \(0.554131\pi\)
\(504\) −11.3158 + 1.09807i −0.504046 + 0.0489121i
\(505\) −14.7782 −0.657620
\(506\) −2.78430 0.997743i −0.123777 0.0443551i
\(507\) −21.2832 12.2879i −0.945221 0.545724i
\(508\) 9.13603 11.1106i 0.405346 0.492953i
\(509\) 16.7288 + 28.9751i 0.741490 + 1.28430i 0.951817 + 0.306668i \(0.0992140\pi\)
−0.210326 + 0.977631i \(0.567453\pi\)
\(510\) 4.69362 + 5.53745i 0.207837 + 0.245202i
\(511\) −21.3027 + 1.74665i −0.942375 + 0.0772672i
\(512\) −1.01294 22.6047i −0.0447660 0.998997i
\(513\) 9.50166 + 16.4574i 0.419509 + 0.726610i
\(514\) 2.46072 + 13.5606i 0.108538 + 0.598130i
\(515\) −4.73633 + 8.20356i −0.208708 + 0.361492i
\(516\) −15.9945 42.6200i −0.704118 1.87624i
\(517\) 5.71491 0.251341
\(518\) −26.4107 26.4362i −1.16042 1.16154i
\(519\) 23.6364i 1.03752i
\(520\) 12.2426 + 6.82665i 0.536872 + 0.299368i
\(521\) −4.24541 2.45109i −0.185995 0.107384i 0.404111 0.914710i \(-0.367581\pi\)
−0.590106 + 0.807326i \(0.700914\pi\)
\(522\) 1.18201 + 6.51382i 0.0517352 + 0.285102i
\(523\) 2.15135 1.24208i 0.0940721 0.0543125i −0.452226 0.891903i \(-0.649370\pi\)
0.546298 + 0.837591i \(0.316037\pi\)
\(524\) 14.8280 + 2.46268i 0.647762 + 0.107583i
\(525\) −2.40479 + 5.08445i −0.104954 + 0.221904i
\(526\) −6.38465 + 5.41172i −0.278384 + 0.235962i
\(527\) 9.64673 5.56954i 0.420218 0.242613i
\(528\) −22.8725 26.1820i −0.995397 1.13942i
\(529\) −11.3692 + 19.6920i −0.494311 + 0.856173i
\(530\) 10.4431 + 3.74223i 0.453618 + 0.162552i
\(531\) 15.4817i 0.671849i
\(532\) 28.8903 13.6302i 1.25255 0.590942i
\(533\) 28.7981i 1.24738i
\(534\) −4.46255 + 12.4532i −0.193113 + 0.538903i
\(535\) −9.53855 + 16.5212i −0.412387 + 0.714276i
\(536\) −0.292520 19.5952i −0.0126349 0.846385i
\(537\) −15.7461 + 9.09100i −0.679493 + 0.392306i
\(538\) −19.0041 22.4207i −0.819324 0.966624i
\(539\) −18.1556 22.1229i −0.782016 0.952902i
\(540\) 6.21067 + 1.03149i 0.267265 + 0.0443883i
\(541\) −23.1290 + 13.3535i −0.994392 + 0.574113i −0.906584 0.422025i \(-0.861319\pi\)
−0.0878078 + 0.996137i \(0.527986\pi\)
\(542\) −15.9497 + 2.89426i −0.685097 + 0.124319i
\(543\) −1.51326 0.873682i −0.0649403 0.0374933i
\(544\) −10.6782 8.51657i −0.457825 0.365145i
\(545\) 0.640328i 0.0274286i
\(546\) −10.2209 + 38.0717i −0.437416 + 1.62932i
\(547\) 21.5603 0.921851 0.460926 0.887439i \(-0.347517\pi\)
0.460926 + 0.887439i \(0.347517\pi\)
\(548\) −6.40268 + 2.40281i −0.273509 + 0.102643i
\(549\) 2.02273 3.50347i 0.0863281 0.149525i
\(550\) −5.68901 + 1.03234i −0.242580 + 0.0440191i
\(551\) −9.30062 16.1091i −0.396220 0.686273i
\(552\) 2.64046 1.57748i 0.112385 0.0671421i
\(553\) −4.19418 + 8.86778i −0.178355 + 0.377096i
\(554\) 35.5021 30.0921i 1.50834 1.27849i
\(555\) −10.6156 18.3867i −0.450606 0.780472i
\(556\) 14.0324 17.0652i 0.595108 0.723727i
\(557\) 11.7177 + 6.76520i 0.496493 + 0.286651i 0.727264 0.686358i \(-0.240791\pi\)
−0.230771 + 0.973008i \(0.574125\pi\)
\(558\) −3.34372 + 9.33098i −0.141551 + 0.395012i
\(559\) −53.0616 −2.24426
\(560\) 2.59114 10.2609i 0.109496 0.433602i
\(561\) −20.9855 −0.886010
\(562\) 11.2931 31.5145i 0.476370 1.32936i
\(563\) 0.290557 + 0.167753i 0.0122455 + 0.00706994i 0.506110 0.862469i \(-0.331083\pi\)
−0.493865 + 0.869539i \(0.664416\pi\)
\(564\) −3.77468 + 4.59049i −0.158943 + 0.193295i
\(565\) −7.42108 12.8537i −0.312207 0.540759i
\(566\) 21.6069 18.3144i 0.908208 0.769810i
\(567\) 2.43222 + 29.6642i 0.102144 + 1.24578i
\(568\) −2.23660 3.74372i −0.0938458 0.157083i
\(569\) −6.01354 10.4158i −0.252101 0.436651i 0.712003 0.702176i \(-0.247788\pi\)
−0.964104 + 0.265525i \(0.914455\pi\)
\(570\) 17.8577 3.24049i 0.747976 0.135729i
\(571\) 17.2292 29.8419i 0.721020 1.24884i −0.239571 0.970879i \(-0.577007\pi\)
0.960591 0.277965i \(-0.0896599\pi\)
\(572\) −37.9396 + 14.2380i −1.58634 + 0.595322i
\(573\) 47.7136 1.99326
\(574\) 21.0043 5.61725i 0.876704 0.234459i
\(575\) 0.511539i 0.0213326i
\(576\) 12.1485 0.362790i 0.506188 0.0151162i
\(577\) 26.7684 + 15.4547i 1.11438 + 0.643389i 0.939961 0.341282i \(-0.110861\pi\)
0.174422 + 0.984671i \(0.444194\pi\)
\(578\) 15.5431 2.82048i 0.646507 0.117316i
\(579\) −7.93823 + 4.58314i −0.329901 + 0.190469i
\(580\) −6.07926 1.00967i −0.252427 0.0419241i
\(581\) 14.9671 + 21.6254i 0.620939 + 0.897175i
\(582\) −11.0376 13.0220i −0.457524 0.539779i
\(583\) −27.7737 + 16.0352i −1.15027 + 0.664109i
\(584\) 22.8474 0.341068i 0.945432 0.0141135i
\(585\) −3.76457 + 6.52042i −0.155646 + 0.269586i
\(586\) 2.27454 6.34734i 0.0939604 0.262206i
\(587\) 11.3376i 0.467955i −0.972242 0.233977i \(-0.924826\pi\)
0.972242 0.233977i \(-0.0751742\pi\)
\(588\) 29.7619 + 0.0286797i 1.22736 + 0.00118273i
\(589\) 27.8504i 1.14756i
\(590\) −13.5667 4.86155i −0.558531 0.200147i
\(591\) −7.09128 + 12.2825i −0.291696 + 0.505233i
\(592\) 26.2823 + 30.0852i 1.08020 + 1.23650i
\(593\) 26.3586 15.2182i 1.08242 0.624935i 0.150872 0.988553i \(-0.451792\pi\)
0.931548 + 0.363618i \(0.118459\pi\)
\(594\) −13.8842 + 11.7684i −0.569675 + 0.482865i
\(595\) −3.63551 5.25284i −0.149042 0.215345i
\(596\) −20.2445 3.36228i −0.829246 0.137724i
\(597\) −17.2644 + 9.96759i −0.706583 + 0.407946i
\(598\) −0.640120 3.52758i −0.0261765 0.144253i
\(599\) −11.1298 6.42577i −0.454750 0.262550i 0.255084 0.966919i \(-0.417897\pi\)
−0.709834 + 0.704369i \(0.751230\pi\)
\(600\) 2.92835 5.25154i 0.119549 0.214393i
\(601\) 17.2953i 0.705489i 0.935720 + 0.352745i \(0.114752\pi\)
−0.935720 + 0.352745i \(0.885248\pi\)
\(602\) 10.3500 + 38.7013i 0.421835 + 1.57735i
\(603\) 10.5264 0.428669
\(604\) −11.5638 30.8138i −0.470525 1.25379i
\(605\) 2.85764 4.94958i 0.116180 0.201229i
\(606\) 7.93266 + 43.7153i 0.322242 + 1.77581i
\(607\) −7.03358 12.1825i −0.285484 0.494473i 0.687242 0.726428i \(-0.258821\pi\)
−0.972726 + 0.231955i \(0.925488\pi\)
\(608\) −31.7898 + 12.4746i −1.28925 + 0.505910i
\(609\) −1.41621 17.2725i −0.0573877 0.699918i
\(610\) 2.43493 + 2.87268i 0.0985874 + 0.116312i
\(611\) 3.46370 + 5.99931i 0.140126 + 0.242706i
\(612\) 4.65963 5.66671i 0.188354 0.229063i
\(613\) −8.38938 4.84361i −0.338844 0.195632i 0.320917 0.947107i \(-0.396009\pi\)
−0.659761 + 0.751476i \(0.729342\pi\)
\(614\) −19.1798 6.87300i −0.774034 0.277372i
\(615\) 12.3532 0.498127
\(616\) 17.7851 + 24.8947i 0.716583 + 1.00304i
\(617\) −36.8175 −1.48222 −0.741108 0.671386i \(-0.765699\pi\)
−0.741108 + 0.671386i \(0.765699\pi\)
\(618\) 26.8093 + 9.60700i 1.07843 + 0.386450i
\(619\) −14.5742 8.41442i −0.585787 0.338204i 0.177643 0.984095i \(-0.443153\pi\)
−0.763430 + 0.645891i \(0.776486\pi\)
\(620\) −7.12678 5.86022i −0.286218 0.235352i
\(621\) −0.805129 1.39452i −0.0323087 0.0559603i
\(622\) −0.0135288 0.0159610i −0.000542455 0.000639979i
\(623\) 4.97750 10.5239i 0.199419 0.421633i
\(624\) 13.6223 39.8791i 0.545329 1.59644i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) −3.51630 19.3776i −0.140540 0.774486i
\(627\) −26.2345 + 45.4394i −1.04770 + 1.81468i
\(628\) −41.6426 + 15.6277i −1.66172 + 0.623613i
\(629\) 24.1141 0.961492
\(630\) 5.49008 + 1.47390i 0.218730 + 0.0587215i
\(631\) 40.9250i 1.62920i −0.580023 0.814600i \(-0.696957\pi\)
0.580023 0.814600i \(-0.303043\pi\)
\(632\) 5.10732 9.15920i 0.203158 0.364333i
\(633\) −11.1942 6.46299i −0.444930 0.256881i
\(634\) −6.06175 33.4051i −0.240743 1.32669i
\(635\) −6.22865 + 3.59611i −0.247176 + 0.142707i
\(636\) 5.46422 32.9004i 0.216670 1.30458i
\(637\) 12.2201 32.4674i 0.484178 1.28640i
\(638\) 13.5904 11.5194i 0.538050 0.456059i
\(639\) 2.02858 1.17120i 0.0802496 0.0463321i
\(640\) −3.49696 + 10.7597i −0.138229 + 0.425315i
\(641\) −22.3915 + 38.7833i −0.884413 + 1.53185i −0.0380272 + 0.999277i \(0.512107\pi\)
−0.846385 + 0.532571i \(0.821226\pi\)
\(642\) 53.9916 + 19.3476i 2.13088 + 0.763591i
\(643\) 35.9649i 1.41832i 0.705049 + 0.709159i \(0.250925\pi\)
−0.705049 + 0.709159i \(0.749075\pi\)
\(644\) −2.44804 + 1.15496i −0.0964661 + 0.0455118i
\(645\) 22.7612i 0.896221i
\(646\) −6.95386 + 19.4055i −0.273596 + 0.763498i
\(647\) −10.7834 + 18.6773i −0.423937 + 0.734281i −0.996321 0.0857054i \(-0.972686\pi\)
0.572383 + 0.819986i \(0.306019\pi\)
\(648\) −0.474941 31.8152i −0.0186574 1.24982i
\(649\) 36.0811 20.8314i 1.41631 0.817704i
\(650\) −4.53172 5.34644i −0.177749 0.209705i
\(651\) 11.0942 23.4565i 0.434816 0.919334i
\(652\) −4.25139 + 25.5978i −0.166497 + 1.00249i
\(653\) 26.3715 15.2256i 1.03200 0.595824i 0.114441 0.993430i \(-0.463492\pi\)
0.917556 + 0.397606i \(0.130159\pi\)
\(654\) −1.89415 + 0.343717i −0.0740673 + 0.0134404i
\(655\) −6.50864 3.75777i −0.254314 0.146828i
\(656\) −22.8057 + 4.49098i −0.890413 + 0.175343i
\(657\) 12.2735i 0.478833i
\(658\) 3.70007 3.69651i 0.144244 0.144105i
\(659\) −4.95909 −0.193179 −0.0965894 0.995324i \(-0.530793\pi\)
−0.0965894 + 0.995324i \(0.530793\pi\)
\(660\) 6.10752 + 16.2745i 0.237735 + 0.633485i
\(661\) −8.90153 + 15.4179i −0.346230 + 0.599687i −0.985576 0.169231i \(-0.945871\pi\)
0.639347 + 0.768918i \(0.279205\pi\)
\(662\) 2.17965 0.395523i 0.0847145 0.0153725i
\(663\) −12.7189 22.0299i −0.493963 0.855569i
\(664\) −14.4196 24.1362i −0.559591 0.936668i
\(665\) −15.9187 + 1.30520i −0.617299 + 0.0506136i
\(666\) −16.3687 + 13.8743i −0.634274 + 0.537620i
\(667\) 0.788093 + 1.36502i 0.0305151 + 0.0528537i
\(668\) 18.4212 + 15.1474i 0.712739 + 0.586072i
\(669\) −27.8486 16.0784i −1.07669 0.621626i
\(670\) −3.30550 + 9.22434i −0.127703 + 0.356367i
\(671\) −10.8867 −0.420278
\(672\) −31.7436 2.15698i −1.22454 0.0832072i
\(673\) 20.2860 0.781968 0.390984 0.920397i \(-0.372135\pi\)
0.390984 + 0.920397i \(0.372135\pi\)
\(674\) −0.0282674 + 0.0788829i −0.00108882 + 0.00303846i
\(675\) −2.72614 1.57394i −0.104929 0.0605808i
\(676\) −17.8586 14.6848i −0.686870 0.564801i
\(677\) 12.8287 + 22.2199i 0.493046 + 0.853980i 0.999968 0.00801166i \(-0.00255022\pi\)
−0.506922 + 0.861992i \(0.669217\pi\)
\(678\) −34.0390 + 28.8519i −1.30726 + 1.10805i
\(679\) 8.54936 + 12.3527i 0.328094 + 0.474053i
\(680\) 3.50254 + 5.86271i 0.134316 + 0.224825i
\(681\) 24.1739 + 41.8705i 0.926347 + 1.60448i
\(682\) 26.2456 4.76257i 1.00499 0.182368i
\(683\) 11.8802 20.5772i 0.454585 0.787365i −0.544079 0.839034i \(-0.683121\pi\)
0.998664 + 0.0516694i \(0.0164542\pi\)
\(684\) −6.44488 17.1735i −0.246426 0.656644i
\(685\) 3.41935 0.130647
\(686\) −26.0642 2.57996i −0.995137 0.0985033i
\(687\) 5.77382i 0.220285i
\(688\) −8.27481 42.0204i −0.315474 1.60201i
\(689\) −33.6663 19.4372i −1.28258 0.740500i
\(690\) −1.51318 + 0.274585i −0.0576058 + 0.0104533i
\(691\) −8.25902 + 4.76835i −0.314188 + 0.181396i −0.648799 0.760960i \(-0.724728\pi\)
0.334611 + 0.942356i \(0.391395\pi\)
\(692\) −3.64332 + 21.9367i −0.138498 + 0.833906i
\(693\) −13.5129 + 9.35232i −0.513311 + 0.355265i
\(694\) −0.0844602 0.0996446i −0.00320606 0.00378246i
\(695\) −9.56685 + 5.52342i −0.362891 + 0.209515i
\(696\) 0.276543 + 18.5250i 0.0104824 + 0.702189i
\(697\) −7.01529 + 12.1508i −0.265723 + 0.460246i
\(698\) −7.36597 + 20.5555i −0.278806 + 0.778037i
\(699\) 36.3313i 1.37418i
\(700\) −3.01557 + 4.34814i −0.113978 + 0.164344i
\(701\) 19.1213i 0.722201i −0.932527 0.361101i \(-0.882401\pi\)
0.932527 0.361101i \(-0.117599\pi\)
\(702\) −20.7690 7.44249i −0.783876 0.280899i
\(703\) 30.1455 52.2136i 1.13696 1.96927i
\(704\) −17.1919 27.8247i −0.647946 1.04868i
\(705\) 2.57345 1.48578i 0.0969217 0.0559578i
\(706\) 10.6972 9.06711i 0.402595 0.341245i
\(707\) −3.19511 38.9686i −0.120165 1.46556i
\(708\) −7.09861 + 42.7411i −0.266782 + 1.60631i
\(709\) 42.0444 24.2743i 1.57901 0.911642i 0.584012 0.811745i \(-0.301482\pi\)
0.994998 0.0998972i \(-0.0318514\pi\)
\(710\) 0.389315 + 2.14544i 0.0146107 + 0.0805168i
\(711\) 4.87821 + 2.81644i 0.182947 + 0.105625i
\(712\) −6.06117 + 10.8698i −0.227152 + 0.407363i
\(713\) 2.35992i 0.0883798i
\(714\) −13.5869 + 13.5738i −0.508478 + 0.507988i
\(715\) 20.2617 0.757743
\(716\) −16.0150 + 6.01014i −0.598509 + 0.224609i
\(717\) 15.7327 27.2498i 0.587547 1.01766i
\(718\) 2.63714 + 14.5327i 0.0984171 + 0.542357i
\(719\) −14.8570 25.7331i −0.554073 0.959682i −0.997975 0.0636067i \(-0.979740\pi\)
0.443903 0.896075i \(-0.353594\pi\)
\(720\) −5.75071 1.96439i −0.214316 0.0732084i
\(721\) −22.6560 10.7156i −0.843754 0.399069i
\(722\) 15.9510 + 18.8187i 0.593636 + 0.700361i
\(723\) 18.9469 + 32.8169i 0.704641 + 1.22047i
\(724\) −1.26977 1.04411i −0.0471906 0.0388040i
\(725\) 2.66845 + 1.54063i 0.0991039 + 0.0572177i
\(726\) −16.1753 5.79634i −0.600321 0.215122i
\(727\) 3.32731 0.123403 0.0617015 0.998095i \(-0.480347\pi\)
0.0617015 + 0.998095i \(0.480347\pi\)
\(728\) −15.3543 + 33.7584i −0.569069 + 1.25117i
\(729\) −2.98481 −0.110548
\(730\) −10.7553 3.85410i −0.398070 0.142647i
\(731\) −22.3884 12.9259i −0.828065 0.478083i
\(732\) 7.19066 8.74476i 0.265774 0.323216i
\(733\) 16.6332 + 28.8096i 0.614362 + 1.06411i 0.990496 + 0.137540i \(0.0439197\pi\)
−0.376135 + 0.926565i \(0.622747\pi\)
\(734\) −26.2819 31.0069i −0.970084 1.14449i
\(735\) −13.9271 5.24191i −0.513710 0.193351i
\(736\) 2.69373 1.05704i 0.0992921 0.0389630i
\(737\) −14.1638 24.5325i −0.521731 0.903665i
\(738\) −2.22914 12.2843i −0.0820558 0.452193i
\(739\) −8.20295 + 14.2079i −0.301750 + 0.522647i −0.976533 0.215370i \(-0.930904\pi\)
0.674782 + 0.738017i \(0.264238\pi\)
\(740\) −7.01804 18.7007i −0.257988 0.687453i
\(741\) −63.6009 −2.33644
\(742\) −7.61004 + 28.3464i −0.279373 + 1.04063i
\(743\) 28.3857i 1.04137i 0.853749 + 0.520685i \(0.174323\pi\)
−0.853749 + 0.520685i \(0.825677\pi\)
\(744\) −13.5096 + 24.2274i −0.495285 + 0.888219i
\(745\) 8.88620 + 5.13045i 0.325565 + 0.187965i
\(746\) −2.60578 14.3599i −0.0954043 0.525754i
\(747\) 13.0785 7.55090i 0.478519 0.276273i
\(748\) −19.4764 3.23472i −0.712127 0.118273i
\(749\) −45.6272 21.5802i −1.66718 0.788525i
\(750\) −2.29340 + 1.94392i −0.0837430 + 0.0709818i
\(751\) 27.1307 15.6639i 0.990014 0.571585i 0.0847355 0.996403i \(-0.472995\pi\)
0.905278 + 0.424819i \(0.139662\pi\)
\(752\) −4.21081 + 3.67854i −0.153552 + 0.134143i
\(753\) 27.6063 47.8155i 1.00603 1.74249i
\(754\) 20.3296 + 7.28502i 0.740360 + 0.265305i
\(755\) 16.4561i 0.598898i
\(756\) −1.37717 + 16.5999i −0.0500871 + 0.603734i
\(757\) 12.5842i 0.457380i 0.973499 + 0.228690i \(0.0734442\pi\)
−0.973499 + 0.228690i \(0.926556\pi\)
\(758\) 9.59830 26.7851i 0.348626 0.972877i
\(759\) 2.22299 3.85034i 0.0806895 0.139758i
\(760\) 17.0730 0.254867i 0.619302 0.00924500i
\(761\) 10.7941 6.23196i 0.391285 0.225908i −0.291432 0.956592i \(-0.594132\pi\)
0.682717 + 0.730683i \(0.260798\pi\)
\(762\) 13.9811 + 16.4946i 0.506481 + 0.597537i
\(763\) 1.68848 0.138442i 0.0611272 0.00501194i
\(764\) 44.2823 + 7.35458i 1.60208 + 0.266079i
\(765\) −3.17678 + 1.83412i −0.114857 + 0.0663127i
\(766\) 44.2999 8.03874i 1.60062 0.290451i
\(767\) 43.7361 + 25.2511i 1.57922 + 0.911763i
\(768\) 33.7054 + 4.56872i 1.21624 + 0.164860i
\(769\) 31.8352i 1.14801i −0.818853 0.574003i \(-0.805390\pi\)
0.818853 0.574003i \(-0.194610\pi\)
\(770\) −3.95217 14.7782i −0.142426 0.532568i
\(771\) −20.7172 −0.746111
\(772\) −8.07381 + 3.02995i −0.290583 + 0.109050i
\(773\) 3.58420 6.20801i 0.128915 0.223287i −0.794342 0.607471i \(-0.792184\pi\)
0.923256 + 0.384184i \(0.125517\pi\)