Properties

Label 588.2.x.a.223.2
Level $588$
Weight $2$
Character 588.223
Analytic conductor $4.695$
Analytic rank $0$
Dimension $168$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 588.x (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.69520363885\)
Analytic rank: \(0\)
Dimension: \(168\)
Relative dimension: \(28\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 223.2
Character \(\chi\) \(=\) 588.223
Dual form 588.2.x.a.559.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.41331 - 0.0505560i) q^{2} +(-0.222521 + 0.974928i) q^{3} +(1.99489 + 0.142903i) q^{4} +(2.57339 + 0.587359i) q^{5} +(0.363779 - 1.36663i) q^{6} +(-2.51025 - 0.835852i) q^{7} +(-2.81217 - 0.302819i) q^{8} +(-0.900969 - 0.433884i) q^{9} +O(q^{10})\) \(q+(-1.41331 - 0.0505560i) q^{2} +(-0.222521 + 0.974928i) q^{3} +(1.99489 + 0.142903i) q^{4} +(2.57339 + 0.587359i) q^{5} +(0.363779 - 1.36663i) q^{6} +(-2.51025 - 0.835852i) q^{7} +(-2.81217 - 0.302819i) q^{8} +(-0.900969 - 0.433884i) q^{9} +(-3.60730 - 0.960221i) q^{10} +(1.03750 + 2.15439i) q^{11} +(-0.583224 + 1.91307i) q^{12} +(1.89781 + 3.94084i) q^{13} +(3.50550 + 1.30823i) q^{14} +(-1.14527 + 2.37817i) q^{15} +(3.95916 + 0.570149i) q^{16} +(-0.584700 + 0.466282i) q^{17} +(1.25141 + 0.658761i) q^{18} -5.65127 q^{19} +(5.04969 + 1.53946i) q^{20} +(1.37348 - 2.26132i) q^{21} +(-1.35739 - 3.09728i) q^{22} +(6.32994 + 5.04796i) q^{23} +(0.920994 - 2.67428i) q^{24} +(1.77249 + 0.853588i) q^{25} +(-2.48296 - 5.66558i) q^{26} +(0.623490 - 0.781831i) q^{27} +(-4.88822 - 2.02615i) q^{28} +(1.27868 + 1.60341i) q^{29} +(1.73885 - 3.30319i) q^{30} +0.240610 q^{31} +(-5.56669 - 1.00596i) q^{32} +(-2.33124 + 0.532091i) q^{33} +(0.849935 - 0.629441i) q^{34} +(-5.96890 - 3.62539i) q^{35} +(-1.73533 - 0.994300i) q^{36} +(-1.99964 - 2.50747i) q^{37} +(7.98699 + 0.285705i) q^{38} +(-4.26434 + 0.973308i) q^{39} +(-7.05894 - 2.43102i) q^{40} +(11.4238 + 2.60740i) q^{41} +(-2.05547 + 3.12650i) q^{42} +(-9.66372 + 2.20568i) q^{43} +(1.76183 + 4.44603i) q^{44} +(-2.06370 - 1.64574i) q^{45} +(-8.69097 - 7.45435i) q^{46} +(2.94725 - 1.41932i) q^{47} +(-1.43685 + 3.73302i) q^{48} +(5.60270 + 4.19639i) q^{49} +(-2.46193 - 1.29599i) q^{50} +(-0.324484 - 0.673798i) q^{51} +(3.22276 + 8.13274i) q^{52} +(-7.68409 + 9.63554i) q^{53} +(-0.920710 + 1.07345i) q^{54} +(1.40449 + 6.15347i) q^{55} +(6.80614 + 3.11071i) q^{56} +(1.25753 - 5.50958i) q^{57} +(-1.72610 - 2.33076i) q^{58} +(0.367809 + 1.61148i) q^{59} +(-2.62452 + 4.58052i) q^{60} +(-1.02870 + 0.820364i) q^{61} +(-0.340056 - 0.0121643i) q^{62} +(1.89899 + 1.84223i) q^{63} +(7.81660 + 1.70316i) q^{64} +(2.56911 + 11.2560i) q^{65} +(3.32167 - 0.634151i) q^{66} +9.89182i q^{67} +(-1.23304 + 0.846626i) q^{68} +(-6.32994 + 5.04796i) q^{69} +(8.25262 + 5.42556i) q^{70} +(2.19839 + 1.75316i) q^{71} +(2.40229 + 1.49299i) q^{72} +(-4.78064 + 9.92710i) q^{73} +(2.69934 + 3.64493i) q^{74} +(-1.22660 + 1.53811i) q^{75} +(-11.2736 - 0.807580i) q^{76} +(-0.803632 - 6.27526i) q^{77} +(6.07604 - 1.16000i) q^{78} -6.28692i q^{79} +(9.85357 + 3.79266i) q^{80} +(0.623490 + 0.781831i) q^{81} +(-16.0135 - 4.26260i) q^{82} +(5.85990 + 2.82198i) q^{83} +(3.06308 - 4.31480i) q^{84} +(-1.77853 + 0.856497i) q^{85} +(13.7693 - 2.62875i) q^{86} +(-1.84774 + 0.889825i) q^{87} +(-2.26524 - 6.37269i) q^{88} +(6.43770 - 13.3680i) q^{89} +(2.83344 + 2.43028i) q^{90} +(-1.47001 - 11.4788i) q^{91} +(11.9062 + 10.9747i) q^{92} +(-0.0535407 + 0.234577i) q^{93} +(-4.23713 + 1.85694i) q^{94} +(-14.5429 - 3.31932i) q^{95} +(2.21944 - 5.20328i) q^{96} -11.5887i q^{97} +(-7.70620 - 6.21405i) q^{98} -2.39120i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + O(q^{10}) \) \( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{1}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.41331 0.0505560i −0.999361 0.0357485i
\(3\) −0.222521 + 0.974928i −0.128473 + 0.562875i
\(4\) 1.99489 + 0.142903i 0.997444 + 0.0714513i
\(5\) 2.57339 + 0.587359i 1.15085 + 0.262675i 0.755055 0.655662i \(-0.227610\pi\)
0.395800 + 0.918337i \(0.370467\pi\)
\(6\) 0.363779 1.36663i 0.148512 0.557922i
\(7\) −2.51025 0.835852i −0.948785 0.315922i
\(8\) −2.81217 0.302819i −0.994252 0.107063i
\(9\) −0.900969 0.433884i −0.300323 0.144628i
\(10\) −3.60730 0.960221i −1.14073 0.303648i
\(11\) 1.03750 + 2.15439i 0.312818 + 0.649574i 0.996801 0.0799245i \(-0.0254679\pi\)
−0.683983 + 0.729498i \(0.739754\pi\)
\(12\) −0.583224 + 1.91307i −0.168362 + 0.552257i
\(13\) 1.89781 + 3.94084i 0.526358 + 1.09299i 0.979479 + 0.201544i \(0.0645960\pi\)
−0.453122 + 0.891449i \(0.649690\pi\)
\(14\) 3.50550 + 1.30823i 0.936885 + 0.349638i
\(15\) −1.14527 + 2.37817i −0.295706 + 0.614040i
\(16\) 3.95916 + 0.570149i 0.989789 + 0.142537i
\(17\) −0.584700 + 0.466282i −0.141810 + 0.113090i −0.691826 0.722065i \(-0.743193\pi\)
0.550015 + 0.835155i \(0.314622\pi\)
\(18\) 1.25141 + 0.658761i 0.294961 + 0.155272i
\(19\) −5.65127 −1.29649 −0.648245 0.761432i \(-0.724497\pi\)
−0.648245 + 0.761432i \(0.724497\pi\)
\(20\) 5.04969 + 1.53946i 1.12914 + 0.344234i
\(21\) 1.37348 2.26132i 0.299718 0.493460i
\(22\) −1.35739 3.09728i −0.289397 0.660341i
\(23\) 6.32994 + 5.04796i 1.31988 + 1.05257i 0.994251 + 0.107077i \(0.0341491\pi\)
0.325634 + 0.945496i \(0.394422\pi\)
\(24\) 0.920994 2.67428i 0.187997 0.545885i
\(25\) 1.77249 + 0.853588i 0.354499 + 0.170718i
\(26\) −2.48296 5.66558i −0.486948 1.11111i
\(27\) 0.623490 0.781831i 0.119991 0.150464i
\(28\) −4.88822 2.02615i −0.923787 0.382907i
\(29\) 1.27868 + 1.60341i 0.237444 + 0.297745i 0.886249 0.463209i \(-0.153302\pi\)
−0.648805 + 0.760955i \(0.724731\pi\)
\(30\) 1.73885 3.30319i 0.317468 0.603077i
\(31\) 0.240610 0.0432148 0.0216074 0.999767i \(-0.493122\pi\)
0.0216074 + 0.999767i \(0.493122\pi\)
\(32\) −5.56669 1.00596i −0.984061 0.177830i
\(33\) −2.33124 + 0.532091i −0.405817 + 0.0926252i
\(34\) 0.849935 0.629441i 0.145763 0.107948i
\(35\) −5.96890 3.62539i −1.00893 0.612803i
\(36\) −1.73533 0.994300i −0.289222 0.165717i
\(37\) −1.99964 2.50747i −0.328739 0.412226i 0.589804 0.807546i \(-0.299205\pi\)
−0.918543 + 0.395321i \(0.870633\pi\)
\(38\) 7.98699 + 0.285705i 1.29566 + 0.0463475i
\(39\) −4.26434 + 0.973308i −0.682841 + 0.155854i
\(40\) −7.05894 2.43102i −1.11612 0.384379i
\(41\) 11.4238 + 2.60740i 1.78409 + 0.407208i 0.981830 0.189763i \(-0.0607721\pi\)
0.802263 + 0.596971i \(0.203629\pi\)
\(42\) −2.05547 + 3.12650i −0.317166 + 0.482430i
\(43\) −9.66372 + 2.20568i −1.47370 + 0.336363i −0.882559 0.470202i \(-0.844181\pi\)
−0.591145 + 0.806565i \(0.701324\pi\)
\(44\) 1.76183 + 4.44603i 0.265606 + 0.670265i
\(45\) −2.06370 1.64574i −0.307638 0.245333i
\(46\) −8.69097 7.45435i −1.28141 1.09908i
\(47\) 2.94725 1.41932i 0.429900 0.207029i −0.206405 0.978467i \(-0.566176\pi\)
0.636305 + 0.771438i \(0.280462\pi\)
\(48\) −1.43685 + 3.73302i −0.207391 + 0.538815i
\(49\) 5.60270 + 4.19639i 0.800386 + 0.599485i
\(50\) −2.46193 1.29599i −0.348169 0.183281i
\(51\) −0.324484 0.673798i −0.0454368 0.0943505i
\(52\) 3.22276 + 8.13274i 0.446917 + 1.12781i
\(53\) −7.68409 + 9.63554i −1.05549 + 1.32354i −0.111430 + 0.993772i \(0.535543\pi\)
−0.944061 + 0.329771i \(0.893028\pi\)
\(54\) −0.920710 + 1.07345i −0.125293 + 0.146078i
\(55\) 1.40449 + 6.15347i 0.189381 + 0.829734i
\(56\) 6.80614 + 3.11071i 0.909508 + 0.415686i
\(57\) 1.25753 5.50958i 0.166563 0.729761i
\(58\) −1.72610 2.33076i −0.226648 0.306043i
\(59\) 0.367809 + 1.61148i 0.0478847 + 0.209797i 0.993211 0.116331i \(-0.0371133\pi\)
−0.945326 + 0.326127i \(0.894256\pi\)
\(60\) −2.62452 + 4.58052i −0.338824 + 0.591342i
\(61\) −1.02870 + 0.820364i −0.131712 + 0.105037i −0.687130 0.726535i \(-0.741130\pi\)
0.555418 + 0.831571i \(0.312558\pi\)
\(62\) −0.340056 0.0121643i −0.0431872 0.00154486i
\(63\) 1.89899 + 1.84223i 0.239251 + 0.232100i
\(64\) 7.81660 + 1.70316i 0.977075 + 0.212895i
\(65\) 2.56911 + 11.2560i 0.318659 + 1.39614i
\(66\) 3.32167 0.634151i 0.408869 0.0780586i
\(67\) 9.89182i 1.20848i 0.796803 + 0.604239i \(0.206523\pi\)
−0.796803 + 0.604239i \(0.793477\pi\)
\(68\) −1.23304 + 0.846626i −0.149528 + 0.102668i
\(69\) −6.32994 + 5.04796i −0.762036 + 0.607703i
\(70\) 8.25262 + 5.42556i 0.986377 + 0.648479i
\(71\) 2.19839 + 1.75316i 0.260901 + 0.208062i 0.745200 0.666841i \(-0.232354\pi\)
−0.484299 + 0.874902i \(0.660925\pi\)
\(72\) 2.40229 + 1.49299i 0.283113 + 0.175950i
\(73\) −4.78064 + 9.92710i −0.559532 + 1.16188i 0.408895 + 0.912581i \(0.365914\pi\)
−0.968427 + 0.249298i \(0.919800\pi\)
\(74\) 2.69934 + 3.64493i 0.313792 + 0.423714i
\(75\) −1.22660 + 1.53811i −0.141636 + 0.177606i
\(76\) −11.2736 0.807580i −1.29318 0.0926358i
\(77\) −0.803632 6.27526i −0.0915823 0.715132i
\(78\) 6.07604 1.16000i 0.687976 0.131344i
\(79\) 6.28692i 0.707334i −0.935371 0.353667i \(-0.884935\pi\)
0.935371 0.353667i \(-0.115065\pi\)
\(80\) 9.85357 + 3.79266i 1.10166 + 0.424033i
\(81\) 0.623490 + 0.781831i 0.0692766 + 0.0868702i
\(82\) −16.0135 4.26260i −1.76840 0.470726i
\(83\) 5.85990 + 2.82198i 0.643208 + 0.309752i 0.726904 0.686739i \(-0.240958\pi\)
−0.0836967 + 0.996491i \(0.526673\pi\)
\(84\) 3.06308 4.31480i 0.334210 0.470783i
\(85\) −1.77853 + 0.856497i −0.192909 + 0.0929001i
\(86\) 13.7693 2.62875i 1.48479 0.283466i
\(87\) −1.84774 + 0.889825i −0.198098 + 0.0953992i
\(88\) −2.26524 6.37269i −0.241475 0.679331i
\(89\) 6.43770 13.3680i 0.682395 1.41701i −0.215369 0.976533i \(-0.569096\pi\)
0.897765 0.440476i \(-0.145190\pi\)
\(90\) 2.83344 + 2.43028i 0.298671 + 0.256174i
\(91\) −1.47001 11.4788i −0.154099 1.20330i
\(92\) 11.9062 + 10.9747i 1.24130 + 1.14419i
\(93\) −0.0535407 + 0.234577i −0.00555191 + 0.0243245i
\(94\) −4.23713 + 1.85694i −0.437026 + 0.191528i
\(95\) −14.5429 3.31932i −1.49207 0.340555i
\(96\) 2.21944 5.20328i 0.226521 0.531057i
\(97\) 11.5887i 1.17665i −0.808623 0.588326i \(-0.799787\pi\)
0.808623 0.588326i \(-0.200213\pi\)
\(98\) −7.70620 6.21405i −0.778444 0.627714i
\(99\) 2.39120i 0.240324i
\(100\) 3.41394 + 1.95611i 0.341394 + 0.195611i
\(101\) −17.2863 3.94548i −1.72005 0.392590i −0.755220 0.655471i \(-0.772470\pi\)
−0.964828 + 0.262881i \(0.915327\pi\)
\(102\) 0.424532 + 0.968689i 0.0420349 + 0.0959145i
\(103\) 0.783993 3.43490i 0.0772491 0.338451i −0.921504 0.388368i \(-0.873039\pi\)
0.998753 + 0.0499178i \(0.0158959\pi\)
\(104\) −4.14360 11.6570i −0.406314 1.14306i
\(105\) 4.86270 5.01252i 0.474551 0.489172i
\(106\) 11.3471 13.2295i 1.10213 1.28497i
\(107\) 0.779414 1.61847i 0.0753488 0.156463i −0.859892 0.510477i \(-0.829469\pi\)
0.935240 + 0.354013i \(0.115183\pi\)
\(108\) 1.35552 1.47057i 0.130435 0.141505i
\(109\) 11.5268 5.55099i 1.10406 0.531689i 0.209129 0.977888i \(-0.432937\pi\)
0.894934 + 0.446199i \(0.147223\pi\)
\(110\) −1.67388 8.76777i −0.159599 0.835974i
\(111\) 2.88956 1.39154i 0.274265 0.132079i
\(112\) −9.46191 4.74049i −0.894067 0.447934i
\(113\) −6.74224 3.24689i −0.634257 0.305442i 0.0889891 0.996033i \(-0.471636\pi\)
−0.723246 + 0.690591i \(0.757351\pi\)
\(114\) −2.05581 + 7.72316i −0.192545 + 0.723341i
\(115\) 13.3244 + 16.7083i 1.24251 + 1.55806i
\(116\) 2.32168 + 3.38135i 0.215563 + 0.313950i
\(117\) 4.37401i 0.404377i
\(118\) −0.438359 2.29611i −0.0403542 0.211374i
\(119\) 1.85748 0.681763i 0.170275 0.0624971i
\(120\) 3.94084 6.34101i 0.359748 0.578852i
\(121\) 3.29339 4.12978i 0.299399 0.375434i
\(122\) 1.49535 1.10742i 0.135383 0.100261i
\(123\) −5.08405 + 10.5571i −0.458414 + 0.951906i
\(124\) 0.479989 + 0.0343837i 0.0431043 + 0.00308775i
\(125\) −6.25854 4.99102i −0.559781 0.446410i
\(126\) −2.59073 2.69965i −0.230801 0.240504i
\(127\) 1.33618 1.06557i 0.118567 0.0945541i −0.562411 0.826858i \(-0.690126\pi\)
0.680978 + 0.732304i \(0.261555\pi\)
\(128\) −10.9612 2.80227i −0.968840 0.247688i
\(129\) 9.91224i 0.872724i
\(130\) −3.06189 16.0381i −0.268546 1.40664i
\(131\) 1.25085 + 5.48033i 0.109287 + 0.478819i 0.999719 + 0.0237021i \(0.00754532\pi\)
−0.890432 + 0.455117i \(0.849598\pi\)
\(132\) −4.72661 + 0.728321i −0.411398 + 0.0633922i
\(133\) 14.1861 + 4.72362i 1.23009 + 0.409590i
\(134\) 0.500091 13.9802i 0.0432013 1.20771i
\(135\) 2.06370 1.64574i 0.177615 0.141643i
\(136\) 1.78547 1.13421i 0.153103 0.0972575i
\(137\) 3.58829 + 15.7213i 0.306568 + 1.34316i 0.860011 + 0.510275i \(0.170457\pi\)
−0.553443 + 0.832887i \(0.686686\pi\)
\(138\) 9.20138 6.81432i 0.783273 0.580073i
\(139\) 3.44631 15.0993i 0.292312 1.28070i −0.588987 0.808142i \(-0.700473\pi\)
0.881299 0.472559i \(-0.156670\pi\)
\(140\) −11.3892 8.08522i −0.962564 0.683326i
\(141\) 0.727910 + 3.18918i 0.0613011 + 0.268578i
\(142\) −3.01837 2.58890i −0.253296 0.217255i
\(143\) −6.52114 + 8.17725i −0.545325 + 0.683816i
\(144\) −3.31970 2.23150i −0.276642 0.185958i
\(145\) 2.34875 + 4.87723i 0.195053 + 0.405032i
\(146\) 7.25840 13.7884i 0.600709 1.14113i
\(147\) −5.33790 + 4.52845i −0.440263 + 0.373500i
\(148\) −3.63074 5.28788i −0.298445 0.434661i
\(149\) 4.58673 2.20885i 0.375760 0.180956i −0.236465 0.971640i \(-0.575989\pi\)
0.612225 + 0.790684i \(0.290275\pi\)
\(150\) 1.81133 2.11182i 0.147895 0.172429i
\(151\) 10.2339 + 8.16124i 0.832821 + 0.664153i 0.944108 0.329636i \(-0.106926\pi\)
−0.111287 + 0.993788i \(0.535497\pi\)
\(152\) 15.8923 + 1.71131i 1.28904 + 0.138806i
\(153\) 0.729108 0.166414i 0.0589449 0.0134538i
\(154\) 0.818529 + 8.90951i 0.0659589 + 0.717949i
\(155\) 0.619182 + 0.141324i 0.0497339 + 0.0113514i
\(156\) −8.64597 + 1.33225i −0.692232 + 0.106666i
\(157\) −3.05369 + 0.696985i −0.243711 + 0.0556254i −0.342631 0.939470i \(-0.611318\pi\)
0.0989205 + 0.995095i \(0.468461\pi\)
\(158\) −0.317842 + 8.88537i −0.0252861 + 0.706882i
\(159\) −7.68409 9.63554i −0.609388 0.764148i
\(160\) −13.7344 5.85836i −1.08580 0.463144i
\(161\) −11.6704 17.9625i −0.919755 1.41565i
\(162\) −0.841658 1.13649i −0.0661269 0.0892912i
\(163\) 22.9100 5.22906i 1.79445 0.409572i 0.810173 0.586191i \(-0.199373\pi\)
0.984279 + 0.176619i \(0.0565161\pi\)
\(164\) 22.4165 + 6.83396i 1.75044 + 0.533642i
\(165\) −6.31172 −0.491367
\(166\) −8.13919 4.28458i −0.631723 0.332548i
\(167\) −8.69453 10.9026i −0.672803 0.843668i 0.321866 0.946785i \(-0.395690\pi\)
−0.994669 + 0.103117i \(0.967118\pi\)
\(168\) −4.54723 + 5.94329i −0.350826 + 0.458535i
\(169\) −3.82319 + 4.79413i −0.294092 + 0.368779i
\(170\) 2.55692 1.12058i 0.196107 0.0859445i
\(171\) 5.09162 + 2.45199i 0.389366 + 0.187509i
\(172\) −19.5932 + 3.01912i −1.49397 + 0.230206i
\(173\) −9.60754 7.66176i −0.730448 0.582513i 0.186056 0.982539i \(-0.440430\pi\)
−0.916504 + 0.400026i \(0.869001\pi\)
\(174\) 2.65641 1.16418i 0.201382 0.0882565i
\(175\) −3.73593 3.62426i −0.282409 0.273968i
\(176\) 2.87930 + 9.12111i 0.217036 + 0.687530i
\(177\) −1.65292 −0.124241
\(178\) −9.77430 + 18.5677i −0.732615 + 1.39171i
\(179\) 11.1372 8.88166i 0.832437 0.663846i −0.111576 0.993756i \(-0.535590\pi\)
0.944013 + 0.329910i \(0.107018\pi\)
\(180\) −3.88166 3.57798i −0.289322 0.266687i
\(181\) 0.495218 1.02833i 0.0368093 0.0764353i −0.881753 0.471711i \(-0.843637\pi\)
0.918563 + 0.395276i \(0.129351\pi\)
\(182\) 1.49726 + 16.2974i 0.110985 + 1.20804i
\(183\) −0.570887 1.18546i −0.0422012 0.0876317i
\(184\) −16.2723 16.1126i −1.19961 1.18783i
\(185\) −3.67307 7.62720i −0.270049 0.560763i
\(186\) 0.0875289 0.328823i 0.00641793 0.0241105i
\(187\) −1.61118 0.775904i −0.117821 0.0567397i
\(188\) 6.08225 2.41021i 0.443594 0.175783i
\(189\) −2.21861 + 1.44145i −0.161380 + 0.104850i
\(190\) 20.3858 + 5.42646i 1.47894 + 0.393677i
\(191\) 19.4936 + 4.44930i 1.41051 + 0.321940i 0.858892 0.512157i \(-0.171153\pi\)
0.551618 + 0.834097i \(0.314010\pi\)
\(192\) −3.39981 + 7.24163i −0.245360 + 0.522620i
\(193\) −2.19666 + 9.62418i −0.158119 + 0.692764i 0.832260 + 0.554385i \(0.187046\pi\)
−0.990379 + 0.138379i \(0.955811\pi\)
\(194\) −0.585878 + 16.3784i −0.0420636 + 1.17590i
\(195\) −11.5455 −0.826789
\(196\) 10.5771 + 9.17198i 0.755506 + 0.655141i
\(197\) 0.917043 0.0653366 0.0326683 0.999466i \(-0.489600\pi\)
0.0326683 + 0.999466i \(0.489600\pi\)
\(198\) −0.120889 + 3.37950i −0.00859123 + 0.240171i
\(199\) −0.119882 + 0.525237i −0.00849821 + 0.0372331i −0.978999 0.203864i \(-0.934650\pi\)
0.970501 + 0.241097i \(0.0775072\pi\)
\(200\) −4.72607 2.93718i −0.334183 0.207690i
\(201\) −9.64381 2.20114i −0.680222 0.155256i
\(202\) 24.2314 + 6.45011i 1.70491 + 0.453828i
\(203\) −1.86958 5.09374i −0.131219 0.357510i
\(204\) −0.551021 1.39052i −0.0385792 0.0973559i
\(205\) 27.8663 + 13.4197i 1.94627 + 0.937273i
\(206\) −1.28168 + 4.81494i −0.0892989 + 0.335473i
\(207\) −3.51285 7.29452i −0.244160 0.507004i
\(208\) 5.26686 + 16.6845i 0.365191 + 1.15686i
\(209\) −5.86319 12.1750i −0.405566 0.842166i
\(210\) −7.12591 + 6.83841i −0.491735 + 0.471895i
\(211\) 9.04895 18.7903i 0.622955 1.29358i −0.315744 0.948844i \(-0.602254\pi\)
0.938700 0.344736i \(-0.112032\pi\)
\(212\) −16.7058 + 18.1238i −1.14736 + 1.24474i
\(213\) −2.19839 + 1.75316i −0.150631 + 0.120124i
\(214\) −1.18338 + 2.24799i −0.0808939 + 0.153670i
\(215\) −26.1640 −1.78437
\(216\) −1.99011 + 2.00984i −0.135410 + 0.136752i
\(217\) −0.603990 0.201114i −0.0410015 0.0136525i
\(218\) −16.5715 + 7.26252i −1.12236 + 0.491880i
\(219\) −8.61442 6.86977i −0.582108 0.464216i
\(220\) 1.92245 + 12.4762i 0.129612 + 0.841145i
\(221\) −2.94719 1.41929i −0.198250 0.0954720i
\(222\) −4.15420 + 1.82059i −0.278812 + 0.122190i
\(223\) 8.22903 10.3189i 0.551057 0.691003i −0.425820 0.904808i \(-0.640014\pi\)
0.976876 + 0.213805i \(0.0685856\pi\)
\(224\) 13.1330 + 7.17813i 0.877482 + 0.479609i
\(225\) −1.22660 1.53811i −0.0817735 0.102541i
\(226\) 9.36472 + 4.92972i 0.622932 + 0.327920i
\(227\) 20.4246 1.35563 0.677814 0.735233i \(-0.262927\pi\)
0.677814 + 0.735233i \(0.262927\pi\)
\(228\) 3.29595 10.8113i 0.218280 0.715995i
\(229\) 0.219924 0.0501962i 0.0145330 0.00331706i −0.215248 0.976559i \(-0.569056\pi\)
0.229781 + 0.973242i \(0.426199\pi\)
\(230\) −17.9869 24.2877i −1.18602 1.60148i
\(231\) 6.29675 + 0.612894i 0.414296 + 0.0403254i
\(232\) −3.11031 4.89626i −0.204202 0.321456i
\(233\) −0.802049 1.00574i −0.0525440 0.0658881i 0.754865 0.655880i \(-0.227702\pi\)
−0.807409 + 0.589992i \(0.799131\pi\)
\(234\) −0.221132 + 6.18182i −0.0144559 + 0.404118i
\(235\) 8.41806 1.92137i 0.549134 0.125336i
\(236\) 0.503454 + 3.26728i 0.0327721 + 0.212682i
\(237\) 6.12929 + 1.39897i 0.398140 + 0.0908730i
\(238\) −2.65967 + 0.869635i −0.172401 + 0.0563700i
\(239\) 10.2200 2.33264i 0.661075 0.150886i 0.121196 0.992629i \(-0.461327\pi\)
0.539879 + 0.841743i \(0.318470\pi\)
\(240\) −5.89020 + 8.76257i −0.380211 + 0.565622i
\(241\) −10.4940 8.36870i −0.675979 0.539076i 0.224228 0.974537i \(-0.428014\pi\)
−0.900208 + 0.435461i \(0.856585\pi\)
\(242\) −4.86336 + 5.67015i −0.312629 + 0.364491i
\(243\) −0.900969 + 0.433884i −0.0577972 + 0.0278337i
\(244\) −2.16938 + 1.48953i −0.138880 + 0.0953574i
\(245\) 11.9531 + 14.0898i 0.763658 + 0.900161i
\(246\) 7.71907 14.6635i 0.492150 0.934910i
\(247\) −10.7250 22.2708i −0.682417 1.41705i
\(248\) −0.676635 0.0728612i −0.0429664 0.00462669i
\(249\) −4.05518 + 5.08503i −0.256986 + 0.322251i
\(250\) 8.59292 + 7.37026i 0.543464 + 0.466136i
\(251\) 1.82478 + 7.99488i 0.115179 + 0.504632i 0.999301 + 0.0373765i \(0.0119001\pi\)
−0.884122 + 0.467256i \(0.845243\pi\)
\(252\) 3.52502 + 3.94642i 0.222055 + 0.248601i
\(253\) −4.30797 + 18.8744i −0.270840 + 1.18663i
\(254\) −1.94231 + 1.43843i −0.121871 + 0.0902550i
\(255\) −0.439262 1.92453i −0.0275076 0.120519i
\(256\) 15.3499 + 4.51462i 0.959366 + 0.282164i
\(257\) 21.3595 17.0336i 1.33237 1.06253i 0.339842 0.940482i \(-0.389626\pi\)
0.992525 0.122045i \(-0.0389451\pi\)
\(258\) −0.501123 + 14.0091i −0.0311986 + 0.872166i
\(259\) 2.92372 + 7.96578i 0.181671 + 0.494969i
\(260\) 3.51658 + 22.8216i 0.218089 + 1.41534i
\(261\) −0.456354 1.99942i −0.0282476 0.123761i
\(262\) −1.49077 7.80864i −0.0921004 0.482420i
\(263\) 10.8080i 0.666449i −0.942848 0.333224i \(-0.891863\pi\)
0.942848 0.333224i \(-0.108137\pi\)
\(264\) 6.71698 0.790385i 0.413402 0.0486449i
\(265\) −25.4337 + 20.2827i −1.56238 + 1.24595i
\(266\) −19.8105 7.39313i −1.21466 0.453302i
\(267\) 11.6003 + 9.25096i 0.709929 + 0.566150i
\(268\) −1.41357 + 19.7331i −0.0863473 + 1.20539i
\(269\) −2.63026 + 5.46178i −0.160369 + 0.333011i −0.965634 0.259905i \(-0.916309\pi\)
0.805265 + 0.592915i \(0.202023\pi\)
\(270\) −2.99985 + 2.22161i −0.182565 + 0.135203i
\(271\) 4.14757 5.20089i 0.251947 0.315932i −0.639733 0.768597i \(-0.720955\pi\)
0.891681 + 0.452665i \(0.149527\pi\)
\(272\) −2.58077 + 1.51272i −0.156482 + 0.0917221i
\(273\) 11.5181 + 1.12111i 0.697107 + 0.0678528i
\(274\) −4.27655 22.4005i −0.258356 1.35326i
\(275\) 4.70424i 0.283677i
\(276\) −13.3489 + 9.16555i −0.803509 + 0.551702i
\(277\) −17.5646 22.0253i −1.05536 1.32337i −0.944128 0.329579i \(-0.893093\pi\)
−0.111227 0.993795i \(-0.535478\pi\)
\(278\) −5.63405 + 21.1657i −0.337908 + 1.26943i
\(279\) −0.216782 0.104397i −0.0129784 0.00625006i
\(280\) 15.6877 + 12.0027i 0.937521 + 0.717299i
\(281\) −3.15435 + 1.51906i −0.188173 + 0.0906192i −0.525598 0.850733i \(-0.676158\pi\)
0.337425 + 0.941352i \(0.390444\pi\)
\(282\) −0.867530 4.54410i −0.0516606 0.270597i
\(283\) −17.1181 + 8.24363i −1.01756 + 0.490033i −0.866863 0.498547i \(-0.833867\pi\)
−0.150701 + 0.988579i \(0.548153\pi\)
\(284\) 4.13501 + 3.81151i 0.245368 + 0.226172i
\(285\) 6.47220 13.4397i 0.383380 0.796097i
\(286\) 9.62980 11.2273i 0.569422 0.663885i
\(287\) −26.4971 16.0938i −1.56407 0.949987i
\(288\) 4.57895 + 3.32163i 0.269817 + 0.195729i
\(289\) −3.65840 + 16.0285i −0.215200 + 0.942853i
\(290\) −3.07294 7.01179i −0.180449 0.411746i
\(291\) 11.2981 + 2.57873i 0.662308 + 0.151168i
\(292\) −10.9555 + 19.1203i −0.641119 + 1.11893i
\(293\) 17.5315i 1.02420i 0.858925 + 0.512101i \(0.171133\pi\)
−0.858925 + 0.512101i \(0.828867\pi\)
\(294\) 7.77305 6.13023i 0.453333 0.357522i
\(295\) 4.36299i 0.254023i
\(296\) 4.86402 + 7.65696i 0.282715 + 0.445052i
\(297\) 2.33124 + 0.532091i 0.135272 + 0.0308751i
\(298\) −6.59414 + 2.88991i −0.381988 + 0.167408i
\(299\) −7.88019 + 34.5254i −0.455723 + 1.99665i
\(300\) −2.66674 + 2.89308i −0.153964 + 0.167032i
\(301\) 26.1020 + 2.54063i 1.50449 + 0.146440i
\(302\) −14.0510 12.0517i −0.808546 0.693500i
\(303\) 7.69312 15.9749i 0.441958 0.917735i
\(304\) −22.3743 3.22207i −1.28325 0.184798i
\(305\) −3.12910 + 1.50690i −0.179172 + 0.0862846i
\(306\) −1.03887 + 0.198334i −0.0593882 + 0.0113380i
\(307\) 19.0864 9.19152i 1.08932 0.524588i 0.199033 0.979993i \(-0.436220\pi\)
0.890284 + 0.455405i \(0.150506\pi\)
\(308\) −0.706405 12.6333i −0.0402512 0.719848i
\(309\) 3.17432 + 1.52867i 0.180581 + 0.0869632i
\(310\) −0.867951 0.231038i −0.0492963 0.0131221i
\(311\) −13.1192 16.4510i −0.743922 0.932848i 0.255502 0.966809i \(-0.417759\pi\)
−0.999423 + 0.0339604i \(0.989188\pi\)
\(312\) 12.2868 1.44578i 0.695602 0.0818513i
\(313\) 17.9475i 1.01445i −0.861812 0.507227i \(-0.830670\pi\)
0.861812 0.507227i \(-0.169330\pi\)
\(314\) 4.35105 0.830673i 0.245544 0.0468776i
\(315\) 3.80480 + 5.85617i 0.214376 + 0.329958i
\(316\) 0.898417 12.5417i 0.0505399 0.705526i
\(317\) 9.83533 12.3331i 0.552407 0.692697i −0.424727 0.905322i \(-0.639630\pi\)
0.977134 + 0.212625i \(0.0682012\pi\)
\(318\) 10.3729 + 14.0065i 0.581681 + 0.785444i
\(319\) −2.12774 + 4.41831i −0.119131 + 0.247378i
\(320\) 19.1148 + 8.97404i 1.06855 + 0.501664i
\(321\) 1.40446 + 1.12002i 0.0783890 + 0.0625132i
\(322\) 15.5858 + 25.9766i 0.868560 + 1.44762i
\(323\) 3.30429 2.63509i 0.183856 0.146620i
\(324\) 1.13207 + 1.64876i 0.0628926 + 0.0915980i
\(325\) 8.60506i 0.477323i
\(326\) −32.6433 + 6.23205i −1.80795 + 0.345161i
\(327\) 2.84687 + 12.4730i 0.157432 + 0.689757i
\(328\) −31.3360 10.7918i −1.73024 0.595877i
\(329\) −8.58467 + 1.09938i −0.473288 + 0.0606109i
\(330\) 8.92042 + 0.319095i 0.491053 + 0.0175656i
\(331\) −21.4744 + 17.1252i −1.18034 + 0.941288i −0.999111 0.0421528i \(-0.986578\pi\)
−0.181227 + 0.983441i \(0.558007\pi\)
\(332\) 11.2866 + 6.46693i 0.619431 + 0.354919i
\(333\) 0.713664 + 3.12676i 0.0391085 + 0.171346i
\(334\) 11.7369 + 15.8483i 0.642213 + 0.867181i
\(335\) −5.81005 + 25.4555i −0.317437 + 1.39078i
\(336\) 6.72711 8.16982i 0.366994 0.445700i
\(337\) 4.97482 + 21.7961i 0.270996 + 1.18731i 0.908840 + 0.417144i \(0.136969\pi\)
−0.637845 + 0.770165i \(0.720174\pi\)
\(338\) 5.64572 6.58230i 0.307087 0.358030i
\(339\) 4.66578 5.85070i 0.253410 0.317766i
\(340\) −3.67037 + 1.45446i −0.199054 + 0.0788791i
\(341\) 0.249633 + 0.518368i 0.0135184 + 0.0280712i
\(342\) −7.07207 3.72284i −0.382414 0.201308i
\(343\) −10.5566 15.2170i −0.570004 0.821642i
\(344\) 27.8440 3.27639i 1.50125 0.176651i
\(345\) −19.2544 + 9.27242i −1.03662 + 0.499210i
\(346\) 13.1911 + 11.3142i 0.709157 + 0.608253i
\(347\) −7.49948 5.98063i −0.402593 0.321057i 0.401174 0.916002i \(-0.368602\pi\)
−0.803766 + 0.594945i \(0.797174\pi\)
\(348\) −3.81319 + 1.51105i −0.204409 + 0.0810010i
\(349\) −14.1748 + 3.23530i −0.758758 + 0.173182i −0.584361 0.811494i \(-0.698655\pi\)
−0.174397 + 0.984675i \(0.555798\pi\)
\(350\) 5.09679 + 5.31107i 0.272435 + 0.283889i
\(351\) 4.26434 + 0.973308i 0.227614 + 0.0519513i
\(352\) −3.60822 13.0365i −0.192319 0.694849i
\(353\) 26.2175 5.98397i 1.39542 0.318494i 0.542286 0.840194i \(-0.317559\pi\)
0.853129 + 0.521700i \(0.174702\pi\)
\(354\) 2.33609 + 0.0835650i 0.124162 + 0.00444143i
\(355\) 4.62758 + 5.80280i 0.245607 + 0.307981i
\(356\) 14.7528 25.7478i 0.781898 1.36463i
\(357\) 0.251340 + 1.96262i 0.0133023 + 0.103873i
\(358\) −16.1894 + 11.9895i −0.855636 + 0.633664i
\(359\) −6.70228 + 1.52975i −0.353733 + 0.0807372i −0.395695 0.918382i \(-0.629496\pi\)
0.0419622 + 0.999119i \(0.486639\pi\)
\(360\) 5.30510 + 5.25304i 0.279604 + 0.276859i
\(361\) 12.9368 0.680885
\(362\) −0.751885 + 1.42831i −0.0395182 + 0.0750705i
\(363\) 3.29339 + 4.12978i 0.172858 + 0.216757i
\(364\) −1.29216 23.1090i −0.0677278 1.21124i
\(365\) −18.1332 + 22.7383i −0.949136 + 1.19018i
\(366\) 0.746909 + 1.70428i 0.0390415 + 0.0890843i
\(367\) −20.4900 9.86746i −1.06957 0.515077i −0.185602 0.982625i \(-0.559423\pi\)
−0.883968 + 0.467548i \(0.845138\pi\)
\(368\) 22.1832 + 23.5947i 1.15638 + 1.22996i
\(369\) −9.16115 7.30577i −0.476910 0.380323i
\(370\) 4.80558 + 10.9653i 0.249830 + 0.570058i
\(371\) 27.3429 17.7648i 1.41957 0.922305i
\(372\) −0.140329 + 0.460304i −0.00727574 + 0.0238657i
\(373\) 18.8643 0.976754 0.488377 0.872633i \(-0.337589\pi\)
0.488377 + 0.872633i \(0.337589\pi\)
\(374\) 2.23787 + 1.17805i 0.115718 + 0.0609154i
\(375\) 6.25854 4.99102i 0.323189 0.257735i
\(376\) −8.71796 + 3.09888i −0.449594 + 0.159813i
\(377\) −3.89210 + 8.08202i −0.200453 + 0.416245i
\(378\) 3.20846 1.92505i 0.165025 0.0990137i
\(379\) 12.1250 + 25.1779i 0.622822 + 1.29330i 0.938776 + 0.344528i \(0.111961\pi\)
−0.315954 + 0.948774i \(0.602325\pi\)
\(380\) −28.5371 8.69990i −1.46392 0.446295i
\(381\) 0.741525 + 1.53979i 0.0379895 + 0.0788860i
\(382\) −27.3256 7.27375i −1.39810 0.372158i
\(383\) −2.49312 1.20062i −0.127392 0.0613490i 0.369102 0.929389i \(-0.379665\pi\)
−0.496494 + 0.868040i \(0.665380\pi\)
\(384\) 5.17110 10.0628i 0.263886 0.513515i
\(385\) 1.61777 16.6207i 0.0824494 0.847069i
\(386\) 3.59112 13.4909i 0.182783 0.686669i
\(387\) 9.66372 + 2.20568i 0.491235 + 0.112121i
\(388\) 1.65605 23.1181i 0.0840734 1.17365i
\(389\) −5.62109 + 24.6276i −0.285001 + 1.24867i 0.606292 + 0.795242i \(0.292656\pi\)
−0.891293 + 0.453428i \(0.850201\pi\)
\(390\) 16.3173 + 0.583693i 0.826261 + 0.0295565i
\(391\) −6.05489 −0.306209
\(392\) −14.4850 13.4976i −0.731603 0.681731i
\(393\) −5.62127 −0.283555
\(394\) −1.29607 0.0463621i −0.0652949 0.00233569i
\(395\) 3.69268 16.1787i 0.185799 0.814038i
\(396\) 0.341708 4.77017i 0.0171715 0.239710i
\(397\) −19.6796 4.49173i −0.987689 0.225434i −0.301984 0.953313i \(-0.597649\pi\)
−0.685705 + 0.727879i \(0.740506\pi\)
\(398\) 0.195984 0.736262i 0.00982380 0.0369055i
\(399\) −7.76189 + 12.7793i −0.388581 + 0.639766i
\(400\) 6.53091 + 4.39007i 0.326545 + 0.219504i
\(401\) 14.8375 + 7.14538i 0.740951 + 0.356823i 0.765981 0.642864i \(-0.222254\pi\)
−0.0250300 + 0.999687i \(0.507968\pi\)
\(402\) 13.5184 + 3.59844i 0.674237 + 0.179474i
\(403\) 0.456631 + 0.948205i 0.0227464 + 0.0472335i
\(404\) −33.9204 10.3410i −1.68760 0.514486i
\(405\) 1.14527 + 2.37817i 0.0569087 + 0.118172i
\(406\) 2.38478 + 7.29355i 0.118355 + 0.361973i
\(407\) 3.32745 6.90951i 0.164935 0.342492i
\(408\) 0.708465 + 1.99309i 0.0350742 + 0.0986728i
\(409\) 10.5952 8.44939i 0.523899 0.417795i −0.325504 0.945541i \(-0.605534\pi\)
0.849403 + 0.527745i \(0.176962\pi\)
\(410\) −38.7053 20.3750i −1.91152 1.00625i
\(411\) −16.1256 −0.795418
\(412\) 2.05483 6.74020i 0.101234 0.332066i
\(413\) 0.423664 4.35265i 0.0208472 0.214180i
\(414\) 4.59597 + 10.4870i 0.225880 + 0.515408i
\(415\) 13.4223 + 10.7039i 0.658874 + 0.525434i
\(416\) −6.60020 23.8466i −0.323602 1.16917i
\(417\) 13.9538 + 6.71980i 0.683321 + 0.329070i
\(418\) 7.67099 + 17.5035i 0.375200 + 0.856126i
\(419\) −20.1801 + 25.3051i −0.985863 + 1.23623i −0.0141917 + 0.999899i \(0.504518\pi\)
−0.971672 + 0.236334i \(0.924054\pi\)
\(420\) 10.4168 9.30453i 0.508290 0.454015i
\(421\) −23.6613 29.6704i −1.15318 1.44604i −0.874079 0.485783i \(-0.838534\pi\)
−0.279103 0.960261i \(-0.590037\pi\)
\(422\) −13.7389 + 26.0991i −0.668801 + 1.27048i
\(423\) −3.27120 −0.159051
\(424\) 24.5268 24.7699i 1.19113 1.20293i
\(425\) −1.43439 + 0.327390i −0.0695781 + 0.0158807i
\(426\) 3.19564 2.36661i 0.154829 0.114663i
\(427\) 3.26801 1.19947i 0.158150 0.0580466i
\(428\) 1.78613 3.11729i 0.0863357 0.150680i
\(429\) −6.52114 8.17725i −0.314844 0.394802i
\(430\) 36.9779 + 1.32275i 1.78323 + 0.0637886i
\(431\) 3.22583 0.736274i 0.155383 0.0354651i −0.144122 0.989560i \(-0.546036\pi\)
0.299505 + 0.954095i \(0.403179\pi\)
\(432\) 2.91426 2.73991i 0.140212 0.131824i
\(433\) −9.73502 2.22196i −0.467835 0.106780i −0.0178968 0.999840i \(-0.505697\pi\)
−0.449939 + 0.893059i \(0.648554\pi\)
\(434\) 0.843458 + 0.314772i 0.0404873 + 0.0151095i
\(435\) −5.27760 + 1.20458i −0.253041 + 0.0577551i
\(436\) 23.7878 9.42640i 1.13923 0.451443i
\(437\) −35.7722 28.5274i −1.71122 1.36465i
\(438\) 11.8275 + 10.1446i 0.565141 + 0.484729i
\(439\) 1.78933 0.861694i 0.0853999 0.0411264i −0.390696 0.920520i \(-0.627766\pi\)
0.476096 + 0.879393i \(0.342051\pi\)
\(440\) −2.08628 17.7299i −0.0994593 0.845241i
\(441\) −3.22711 6.21174i −0.153672 0.295797i
\(442\) 4.09354 + 2.15490i 0.194710 + 0.102498i
\(443\) −0.971121 2.01655i −0.0461394 0.0958094i 0.876625 0.481175i \(-0.159790\pi\)
−0.922764 + 0.385365i \(0.874075\pi\)
\(444\) 5.96321 2.36304i 0.283002 0.112145i
\(445\) 24.4185 30.6199i 1.15755 1.45152i
\(446\) −12.1519 + 14.1677i −0.575407 + 0.670862i
\(447\) 1.13283 + 4.96325i 0.0535810 + 0.234754i
\(448\) −18.1980 10.8089i −0.859776 0.510671i
\(449\) 5.83434 25.5619i 0.275340 1.20634i −0.628274 0.777992i \(-0.716238\pi\)
0.903613 0.428349i \(-0.140905\pi\)
\(450\) 1.65581 + 2.23584i 0.0780556 + 0.105399i
\(451\) 6.23480 + 27.3165i 0.293585 + 1.28628i
\(452\) −12.9860 7.44067i −0.610811 0.349980i
\(453\) −10.2339 + 8.16124i −0.480829 + 0.383449i
\(454\) −28.8663 1.03259i −1.35476 0.0484617i
\(455\) 2.95925 30.4028i 0.138732 1.42531i
\(456\) −5.20478 + 15.1131i −0.243736 + 0.707734i
\(457\) 7.06795 + 30.9667i 0.330625 + 1.44856i 0.817924 + 0.575326i \(0.195125\pi\)
−0.487299 + 0.873235i \(0.662018\pi\)
\(458\) −0.313359 + 0.0598243i −0.0146423 + 0.00279541i
\(459\) 0.747859i 0.0349071i
\(460\) 24.1931 + 35.2353i 1.12801 + 1.64286i
\(461\) −3.31009 + 2.63971i −0.154166 + 0.122944i −0.697535 0.716550i \(-0.745720\pi\)
0.543369 + 0.839494i \(0.317149\pi\)
\(462\) −8.86827 1.18455i −0.412589 0.0551101i
\(463\) −14.6687 11.6979i −0.681712 0.543647i 0.220261 0.975441i \(-0.429309\pi\)
−0.901972 + 0.431794i \(0.857881\pi\)
\(464\) 4.14830 + 7.07718i 0.192580 + 0.328550i
\(465\) −0.275562 + 0.572210i −0.0127789 + 0.0265356i
\(466\) 1.08270 + 1.46197i 0.0501550 + 0.0677243i
\(467\) 3.58845 4.49977i 0.166054 0.208225i −0.691842 0.722049i \(-0.743200\pi\)
0.857895 + 0.513825i \(0.171772\pi\)
\(468\) 0.625057 8.72565i 0.0288933 0.403343i
\(469\) 8.26810 24.8309i 0.381785 1.14659i
\(470\) −11.9945 + 2.28990i −0.553263 + 0.105625i
\(471\) 3.13222i 0.144325i
\(472\) −0.546356 4.64313i −0.0251481 0.213717i
\(473\) −14.7780 18.5311i −0.679494 0.852059i
\(474\) −8.59186 2.28705i −0.394637 0.105048i
\(475\) −10.0168 4.82385i −0.459604 0.221333i
\(476\) 3.80290 1.09460i 0.174306 0.0501709i
\(477\) 11.1038 5.34732i 0.508409 0.244837i
\(478\) −14.5619 + 2.78006i −0.666046 + 0.127157i
\(479\) −16.9367 + 8.15627i −0.773856 + 0.372669i −0.778763 0.627319i \(-0.784152\pi\)
0.00490686 + 0.999988i \(0.498438\pi\)
\(480\) 8.76767 12.0864i 0.400188 0.551668i
\(481\) 6.08661 12.6390i 0.277525 0.576287i
\(482\) 14.4082 + 12.3581i 0.656276 + 0.562896i
\(483\) 20.1091 7.38074i 0.914995 0.335836i
\(484\) 7.16010 7.76781i 0.325459 0.353082i
\(485\) 6.80672 29.8222i 0.309077 1.35416i
\(486\) 1.29528 0.567663i 0.0587552 0.0257497i
\(487\) 17.0498 + 3.89151i 0.772601 + 0.176341i 0.590608 0.806959i \(-0.298888\pi\)
0.181993 + 0.983300i \(0.441745\pi\)
\(488\) 3.14131 1.99549i 0.142200 0.0903316i
\(489\) 23.4992i 1.06267i
\(490\) −16.1812 20.5175i −0.730990 0.926885i
\(491\) 35.5537i 1.60451i 0.596979 + 0.802257i \(0.296368\pi\)
−0.596979 + 0.802257i \(0.703632\pi\)
\(492\) −11.6508 + 20.3338i −0.525257 + 0.916719i
\(493\) −1.49528 0.341288i −0.0673441 0.0153709i
\(494\) 14.0319 + 32.0177i 0.631323 + 1.44054i
\(495\) 1.40449 6.15347i 0.0631271 0.276578i
\(496\) 0.952612 + 0.137183i 0.0427735 + 0.00615972i
\(497\) −4.05313 6.23840i −0.181808 0.279830i
\(498\) 5.98830 6.98171i 0.268342 0.312858i
\(499\) −10.2078 + 21.1968i −0.456965 + 0.948898i 0.537443 + 0.843300i \(0.319390\pi\)
−0.994409 + 0.105599i \(0.966324\pi\)
\(500\) −11.7719 10.8509i −0.526453 0.485266i
\(501\) 12.5640 6.05048i 0.561316 0.270316i
\(502\) −2.17479 11.3915i −0.0970655 0.508427i
\(503\) 4.75069 2.28781i 0.211823 0.102008i −0.324964 0.945726i \(-0.605352\pi\)
0.536787 + 0.843718i \(0.319638\pi\)
\(504\) −4.78243 5.75572i −0.213026 0.256380i
\(505\) −42.1669 20.3065i −1.87640 0.903627i
\(506\) 7.04271 26.4576i 0.313087 1.17619i
\(507\) −3.82319 4.79413i −0.169794 0.212915i
\(508\) 2.81781 1.93475i 0.125020 0.0858406i
\(509\) 4.10916i 0.182135i 0.995845 + 0.0910676i \(0.0290279\pi\)
−0.995845 + 0.0910676i \(0.970972\pi\)
\(510\) 0.523516 + 2.74217i 0.0231817 + 0.121425i
\(511\) 20.2982 20.9236i 0.897939 0.925605i
\(512\) −21.4659 7.15659i −0.948666 0.316279i
\(513\) −3.52351 + 4.41834i −0.155567 + 0.195074i
\(514\) −31.0487 + 22.9939i −1.36950 + 1.01422i
\(515\) 4.03504 8.37884i 0.177805 0.369216i
\(516\) 1.41648 19.7738i 0.0623573 0.870494i
\(517\) 6.11554 + 4.87698i 0.268961 + 0.214489i
\(518\) −3.72941 11.4059i −0.163861 0.501148i
\(519\) 9.60754 7.66176i 0.421724 0.336314i
\(520\) −3.81624 32.4318i −0.167353 1.42223i
\(521\) 3.57020i 0.156413i 0.996937 + 0.0782067i \(0.0249194\pi\)
−0.996937 + 0.0782067i \(0.975081\pi\)
\(522\) 0.543887 + 2.84887i 0.0238053 + 0.124692i
\(523\) 0.550000 + 2.40971i 0.0240498 + 0.105369i 0.985528 0.169511i \(-0.0542189\pi\)
−0.961478 + 0.274880i \(0.911362\pi\)
\(524\) 1.71215 + 11.1114i 0.0747957 + 0.485404i
\(525\) 4.36471 2.83578i 0.190492 0.123764i
\(526\) −0.546408 + 15.2750i −0.0238245 + 0.666023i
\(527\) −0.140684 + 0.112192i −0.00612831 + 0.00488716i
\(528\) −9.53313 + 0.777476i −0.414876 + 0.0338353i
\(529\) 9.46829 + 41.4833i 0.411665 + 1.80362i
\(530\) 36.9711 27.3799i 1.60592 1.18931i
\(531\) 0.367809 1.61148i 0.0159616 0.0699322i
\(532\) 27.6246 + 11.4503i 1.19768 + 0.496435i
\(533\) 11.4048 + 49.9676i 0.493996 + 2.16434i
\(534\) −15.9272 13.6609i −0.689237 0.591167i
\(535\) 2.95636 3.70715i 0.127814 0.160274i
\(536\) 2.99543 27.8175i 0.129383 1.20153i
\(537\) 6.18071 + 12.8344i 0.266717 + 0.553844i
\(538\) 3.99349 7.58621i 0.172172 0.327065i
\(539\) −3.22787 + 16.4242i −0.139034 + 0.707440i
\(540\) 4.35203 2.98817i 0.187281 0.128590i
\(541\) 2.51848 1.21284i 0.108278 0.0521439i −0.378961 0.925413i \(-0.623718\pi\)
0.487239 + 0.873269i \(0.338004\pi\)
\(542\) −6.12474 + 7.14079i −0.263080 + 0.306723i
\(543\) 0.892353 + 0.711627i 0.0382945 + 0.0305389i
\(544\) 3.72390 2.00747i 0.159661 0.0860695i
\(545\) 32.9232 7.51451i 1.41028 0.321886i
\(546\) −16.2220 2.16679i −0.694236 0.0927300i
\(547\) 13.4255 + 3.06428i 0.574032 + 0.131019i 0.499676 0.866213i \(-0.333453\pi\)
0.0743567 + 0.997232i \(0.476310\pi\)
\(548\) 4.91162 + 31.8750i 0.209814 + 1.36163i
\(549\) 1.28277 0.292784i 0.0547474 0.0124957i
\(550\) 0.237828 6.64855i 0.0101410 0.283495i
\(551\) −7.22614 9.06129i −0.307844 0.386024i
\(552\) 19.3295 12.2789i 0.822718 0.522625i
\(553\) −5.25494 + 15.7817i −0.223463 + 0.671108i
\(554\) 23.7107 + 32.0166i 1.00737 + 1.36026i
\(555\) 8.25331 1.88376i 0.350333 0.0799613i
\(556\) 9.03272 29.6288i 0.383072 1.25654i
\(557\) −12.1343 −0.514147 −0.257074 0.966392i \(-0.582758\pi\)
−0.257074 + 0.966392i \(0.582758\pi\)
\(558\) 0.301102 + 0.158504i 0.0127467 + 0.00671003i
\(559\) −27.0321 33.8972i −1.14334 1.43370i
\(560\) −21.5648 17.7567i −0.911279 0.750356i
\(561\) 1.11497 1.39813i 0.0470742 0.0590291i
\(562\) 4.53487 1.98742i 0.191292 0.0838344i
\(563\) −28.9502 13.9417i −1.22010 0.587571i −0.290763 0.956795i \(-0.593909\pi\)
−0.929340 + 0.369224i \(0.879624\pi\)
\(564\) 0.996357 + 6.46608i 0.0419542 + 0.272271i
\(565\) −15.4433 12.3156i −0.649705 0.518122i
\(566\) 24.6099 10.7854i 1.03443 0.453343i
\(567\) −0.911619 2.48374i −0.0382844 0.104307i
\(568\) −5.65136 5.59590i −0.237126 0.234799i
\(569\) 45.2933 1.89880 0.949398 0.314077i \(-0.101695\pi\)
0.949398 + 0.314077i \(0.101695\pi\)
\(570\) −9.82668 + 18.6672i −0.411594 + 0.781883i
\(571\) 11.3592 9.05862i 0.475366 0.379092i −0.356297 0.934373i \(-0.615961\pi\)
0.831663 + 0.555281i \(0.187389\pi\)
\(572\) −14.1775 + 15.3808i −0.592791 + 0.643104i
\(573\) −8.67549 + 18.0148i −0.362424 + 0.752580i
\(574\) 36.6350 + 24.0851i 1.52911 + 1.00529i
\(575\) 6.91090 + 14.3506i 0.288205 + 0.598463i
\(576\) −6.30354 4.92599i −0.262648 0.205250i
\(577\) 9.47811 + 19.6815i 0.394579 + 0.819351i 0.999730 + 0.0232407i \(0.00739842\pi\)
−0.605151 + 0.796111i \(0.706887\pi\)
\(578\) 5.98079 22.4683i 0.248768 0.934557i
\(579\) −8.89408 4.28317i −0.369626 0.178002i
\(580\) 3.98853 + 10.0652i 0.165615 + 0.417934i
\(581\) −12.3511 11.9819i −0.512408 0.497092i
\(582\) −15.8374 4.21573i −0.656481 0.174747i
\(583\) −28.7310 6.55766i −1.18992 0.271591i
\(584\) 16.4501 26.4690i 0.680710 1.09530i
\(585\) 2.56911 11.2560i 0.106220 0.465379i
\(586\) 0.886324 24.7775i 0.0366137 1.02355i
\(587\) 35.3839 1.46045 0.730225 0.683207i \(-0.239415\pi\)
0.730225 + 0.683207i \(0.239415\pi\)
\(588\) −11.2956 + 8.27094i −0.465824 + 0.341088i
\(589\) −1.35975 −0.0560275
\(590\) 0.220576 6.16626i 0.00908095 0.253861i
\(591\) −0.204061 + 0.894051i −0.00839396 + 0.0367764i
\(592\) −6.48726 11.0676i −0.266625 0.454874i
\(593\) 3.91211 + 0.892914i 0.160651 + 0.0366676i 0.302090 0.953279i \(-0.402316\pi\)
−0.141439 + 0.989947i \(0.545173\pi\)
\(594\) −3.26787 0.869868i −0.134082 0.0356911i
\(595\) 5.18047 0.663429i 0.212379 0.0271979i
\(596\) 9.46567 3.75096i 0.387729 0.153645i
\(597\) −0.485392 0.233753i −0.0198658 0.00956685i
\(598\) 12.8826 48.3967i 0.526809 1.97909i
\(599\) −0.793069 1.64683i −0.0324039 0.0672875i 0.884139 0.467225i \(-0.154746\pi\)
−0.916542 + 0.399937i \(0.869032\pi\)
\(600\) 3.91519 3.95399i 0.159837 0.161421i
\(601\) −19.2202 39.9111i −0.784007 1.62801i −0.778194 0.628024i \(-0.783864\pi\)
−0.00581301 0.999983i \(-0.501850\pi\)
\(602\) −36.7617 4.91031i −1.49830 0.200129i
\(603\) 4.29190 8.91222i 0.174780 0.362934i
\(604\) 19.2492 + 17.7432i 0.783238 + 0.721961i
\(605\) 10.9008 8.69312i 0.443182 0.353426i
\(606\) −11.6804 + 22.1886i −0.474483 + 0.901349i
\(607\) 5.42979 0.220388 0.110194 0.993910i \(-0.464853\pi\)
0.110194 + 0.993910i \(0.464853\pi\)
\(608\) 31.4589 + 5.68493i 1.27583 + 0.230554i
\(609\) 5.38205 0.689244i 0.218092 0.0279296i
\(610\) 4.49857 1.97152i 0.182142 0.0798243i
\(611\) 11.1866 + 8.92104i 0.452562 + 0.360907i
\(612\) 1.47827 0.227786i 0.0597556 0.00920772i
\(613\) 42.0070 + 20.2295i 1.69665 + 0.817061i 0.994466 + 0.105062i \(0.0335040\pi\)
0.702180 + 0.712000i \(0.252210\pi\)
\(614\) −27.4396 + 12.0255i −1.10737 + 0.485311i
\(615\) −19.2841 + 24.1815i −0.777609 + 0.975091i
\(616\) 0.359681 + 17.8905i 0.0144919 + 0.720827i
\(617\) −3.14118 3.93891i −0.126459 0.158575i 0.714571 0.699563i \(-0.246622\pi\)
−0.841030 + 0.540988i \(0.818050\pi\)
\(618\) −4.40902 2.32097i −0.177357 0.0933631i
\(619\) −13.9091 −0.559053 −0.279526 0.960138i \(-0.590177\pi\)
−0.279526 + 0.960138i \(0.590177\pi\)
\(620\) 1.21500 + 0.370409i 0.0487957 + 0.0148760i
\(621\) 7.89331 1.80160i 0.316748 0.0722956i
\(622\) 17.7098 + 23.9136i 0.710098 + 0.958846i
\(623\) −27.3339 + 28.1761i −1.09511 + 1.12885i
\(624\) −17.4381 + 1.42217i −0.698084 + 0.0569323i
\(625\) −19.3071 24.2104i −0.772286 0.968416i
\(626\) −0.907356 + 25.3654i −0.0362652 + 1.01381i
\(627\) 13.1745 3.00699i 0.526138 0.120088i
\(628\) −6.19137 + 0.954026i −0.247063 + 0.0380698i
\(629\) 2.33838 + 0.533720i 0.0932373 + 0.0212808i
\(630\) −5.08129 8.46894i −0.202443 0.337411i
\(631\) −37.5419 + 8.56869i −1.49452 + 0.341114i −0.890178 0.455613i \(-0.849420\pi\)
−0.604340 + 0.796727i \(0.706563\pi\)
\(632\) −1.90380 + 17.6799i −0.0757291 + 0.703268i
\(633\) 16.3056 + 13.0033i 0.648091 + 0.516835i
\(634\) −14.5239 + 16.9333i −0.576817 + 0.672506i
\(635\) 4.06439 1.95731i 0.161290 0.0776733i
\(636\) −13.9520 20.3199i −0.553231 0.805737i
\(637\) −5.90447 + 30.0433i −0.233943 + 1.19036i
\(638\) 3.23053 6.13686i 0.127898 0.242961i
\(639\) −1.22002 2.53339i −0.0482631 0.100219i
\(640\) −26.5614 13.6495i −1.04993 0.539542i
\(641\) −3.99746 + 5.01266i −0.157890 + 0.197988i −0.854484 0.519478i \(-0.826127\pi\)
0.696594 + 0.717466i \(0.254698\pi\)
\(642\) −1.92831 1.65393i −0.0761042 0.0652755i
\(643\) 10.5471 + 46.2097i 0.415936 + 1.82233i 0.554754 + 0.832015i \(0.312813\pi\)
−0.138818 + 0.990318i \(0.544330\pi\)
\(644\) −20.7142 37.5010i −0.816255 1.47775i
\(645\) 5.82205 25.5080i 0.229243 1.00438i
\(646\) −4.80321 + 3.55714i −0.188980 + 0.139954i
\(647\) 5.09918 + 22.3410i 0.200470 + 0.878315i 0.970652 + 0.240490i \(0.0773083\pi\)
−0.770182 + 0.637824i \(0.779835\pi\)
\(648\) −1.51661 2.38745i −0.0595779 0.0937878i
\(649\) −3.09015 + 2.46432i −0.121299 + 0.0967328i
\(650\) 0.435038 12.1616i 0.0170636 0.477018i
\(651\) 0.330472 0.544095i 0.0129522 0.0213248i
\(652\) 46.4502 7.15750i 1.81913 0.280309i
\(653\) 2.71804 + 11.9085i 0.106365 + 0.466015i 0.999857 + 0.0169355i \(0.00539098\pi\)
−0.893492 + 0.449080i \(0.851752\pi\)
\(654\) −3.39293 17.7721i −0.132674 0.694944i
\(655\) 14.8377i 0.579758i
\(656\) 43.7419 + 16.8364i 1.70783 + 0.657350i
\(657\) 8.61442 6.86977i 0.336080 0.268015i
\(658\) 12.1884 1.11976i 0.475152 0.0436528i
\(659\) −8.46957 6.75426i −0.329928 0.263108i 0.444489 0.895784i \(-0.353385\pi\)
−0.774417 + 0.632676i \(0.781957\pi\)
\(660\) −12.5912 0.901961i −0.490111 0.0351088i
\(661\) 13.9357 28.9378i 0.542036 1.12555i −0.432566 0.901602i \(-0.642392\pi\)
0.974601 0.223946i \(-0.0718941\pi\)
\(662\) 31.2157 23.1176i 1.21323 0.898491i
\(663\) 2.03952 2.55748i 0.0792084 0.0993243i
\(664\) −15.6245 9.71038i −0.606348 0.376836i
\(665\) 33.7318 + 20.4880i 1.30806 + 0.794492i
\(666\) −0.850551 4.45517i −0.0329582 0.172634i
\(667\) 16.6042i 0.642917i
\(668\) −15.7866 22.9919i −0.610802 0.889584i
\(669\) 8.22903 + 10.3189i 0.318153 + 0.398951i
\(670\) 9.49833 35.6828i 0.366952 1.37855i
\(671\) −2.83467 1.36510i −0.109431 0.0526992i
\(672\) −9.92052 + 11.2064i −0.382692 + 0.432296i
\(673\) −21.4151 + 10.3130i −0.825493 + 0.397536i −0.798423 0.602097i \(-0.794332\pi\)
−0.0270699 + 0.999634i \(0.508618\pi\)
\(674\) −5.92904 31.0562i −0.228378 1.19624i
\(675\) 1.77249 0.853588i 0.0682233 0.0328546i
\(676\) −8.31193 + 9.01741i −0.319690 + 0.346823i
\(677\) −15.7669 + 32.7403i −0.605970 + 1.25831i 0.341924 + 0.939727i \(0.388921\pi\)
−0.947895 + 0.318583i \(0.896793\pi\)
\(678\) −6.88997 + 8.03296i −0.264608 + 0.308504i
\(679\) −9.68643 + 29.0905i −0.371731 + 1.11639i
\(680\) 5.26090 1.87004i 0.201746 0.0717128i
\(681\) −4.54490 + 19.9125i −0.174161 + 0.763049i
\(682\) −0.326602 0.745235i −0.0125062 0.0285365i
\(683\) 4.47652 + 1.02174i 0.171289 + 0.0390956i 0.307305 0.951611i \(-0.400573\pi\)
−0.136016 + 0.990707i \(0.543430\pi\)
\(684\) 9.80681 + 5.61906i 0.374973 + 0.214850i
\(685\) 42.5647i 1.62631i
\(686\) 14.1505 + 22.0401i 0.540267 + 0.841494i
\(687\) 0.225580i 0.00860641i
\(688\) −39.5178 + 3.22288i −1.50660 + 0.122871i
\(689\) −52.5551 11.9954i −2.00219 0.456987i
\(690\) 27.6812 12.1314i 1.05380 0.461833i
\(691\) 9.72102 42.5906i 0.369805 1.62022i −0.357504 0.933912i \(-0.616372\pi\)
0.727309 0.686310i \(-0.240771\pi\)
\(692\) −18.0711 16.6573i −0.686960 0.633215i
\(693\) −1.99869 + 6.00250i −0.0759238 + 0.228016i
\(694\) 10.2967 + 8.83163i 0.390858 + 0.335244i
\(695\) 17.7374 36.8320i 0.672817 1.39712i
\(696\) 5.46561 1.94281i 0.207174 0.0736419i
\(697\) −7.89526 + 3.80216i −0.299054 + 0.144017i
\(698\) 20.1969 3.85586i 0.764464 0.145946i
\(699\) 1.15899 0.558142i 0.0438372 0.0211109i
\(700\) −6.93484 7.76387i −0.262112 0.293447i
\(701\) 12.1120 + 5.83283i 0.457464 + 0.220303i 0.648401 0.761299i \(-0.275438\pi\)
−0.190937 + 0.981602i \(0.561153\pi\)
\(702\) −5.97763 1.59117i −0.225611 0.0600550i
\(703\) 11.3005 + 14.1704i 0.426207 + 0.534446i
\(704\) 4.44046 + 18.6071i 0.167356 + 0.701280i
\(705\) 8.63455i 0.325196i
\(706\) −37.3559 + 7.13175i −1.40591 + 0.268407i
\(707\) 40.0950 + 24.3529i 1.50793 + 0.915885i
\(708\) −3.29739 0.236207i −0.123924 0.00887718i
\(709\) 2.42715 3.04355i 0.0911534 0.114303i −0.734163 0.678973i \(-0.762425\pi\)
0.825317 + 0.564670i \(0.190997\pi\)
\(710\) −6.24684 8.43511i −0.234440 0.316564i
\(711\) −2.72779 + 5.66432i −0.102300 + 0.212429i
\(712\) −22.1520 + 35.6437i −0.830182 + 1.33580i
\(713\) 1.52305 + 1.21459i 0.0570385 + 0.0454867i
\(714\) −0.255999 2.78650i −0.00958052 0.104282i
\(715\) −21.5844 + 17.2130i −0.807211 + 0.643730i
\(716\) 23.4868 16.1264i 0.877742 0.602671i
\(717\) 10.4828i 0.391487i
\(718\) 9.54973 1.82317i 0.356393 0.0680402i
\(719\) 3.97257 + 17.4050i 0.148152 + 0.649096i 0.993398 + 0.114719i \(0.0365966\pi\)
−0.845246 + 0.534377i \(0.820546\pi\)
\(720\) −7.23218 7.69237i −0.269528 0.286678i
\(721\) −4.83909 + 7.96715i −0.180217 + 0.296712i
\(722\) −18.2837 0.654033i −0.680450 0.0243406i
\(723\) 10.4940 8.36870i 0.390277 0.311235i
\(724\) 1.13486 1.98064i 0.0421766 0.0736098i
\(725\) 0.897794 + 3.93349i 0.0333432 + 0.146086i
\(726\) −4.44579 6.00316i −0.164999 0.222798i
\(727\) 3.13918 13.7536i 0.116426 0.510094i −0.882763 0.469819i \(-0.844319\pi\)
0.999189 0.0402754i \(-0.0128235\pi\)
\(728\) 0.657932 + 32.7254i 0.0243846 + 1.21289i
\(729\) −0.222521 0.974928i −0.00824152 0.0361084i
\(730\) 26.7774 31.2196i 0.991076 1.15549i
\(731\) 4.62190 5.79568i 0.170947 0.214361i
\(732\) −0.969451 2.44644i −0.0358320 0.0904231i
\(733\) −21.6721 45.0026i −0.800477 1.66221i −0.748104 0.663581i \(-0.769036\pi\)
−0.0523730 0.998628i \(-0.516678\pi\)
\(734\) 28.4599 + 14.9817i 1.05047 + 0.552984i
\(735\) −16.3963 + 8.51818i −0.604787 + 0.314198i
\(736\) −30.1588 34.4681i −1.11167 1.27051i
\(737\) −21.3109 + 10.2628i −0.784996 + 0.378034i
\(738\) 12.5782 + 10.7885i 0.463010 + 0.397129i
\(739\) 19.0718 + 15.2093i 0.701567 + 0.559481i 0.907995 0.418980i \(-0.137612\pi\)
−0.206428 + 0.978462i \(0.566184\pi\)
\(740\) −6.23741 15.7403i −0.229292 0.578625i
\(741\) 24.0989 5.50042i 0.885296 0.202063i
\(742\) −39.5421 + 23.7249i −1.45163 + 0.870968i
\(743\) −15.9092 3.63118i −0.583654 0.133215i −0.0795086 0.996834i \(-0.525335\pi\)
−0.504145 + 0.863619i \(0.668192\pi\)
\(744\) 0.221600 0.643458i 0.00812425 0.0235903i
\(745\) 13.1008 2.99018i 0.479977 0.109552i
\(746\) −26.6610 0.953702i −0.976130 0.0349175i
\(747\) −4.05518 5.08503i −0.148371 0.186052i
\(748\) −3.10325 1.77808i −0.113466 0.0650132i
\(749\) −3.30932 + 3.41129i −0.120920 + 0.124646i
\(750\) −9.09758 + 6.73744i −0.332196 + 0.246017i
\(751\) −48.0662 + 10.9708i −1.75396 + 0.400330i −0.974189 0.225733i \(-0.927522\pi\)
−0.779772 + 0.626063i \(0.784665\pi\)
\(752\) 12.4778 3.93894i 0.455020 0.143638i
\(753\) −8.20048 −0.298842
\(754\) 5.90933 11.2256i 0.215205 0.408813i
\(755\) 21.5422 + 27.0130i 0.783999 + 0.983104i
\(756\) −4.63187 + 2.55848i −0.168459 + 0.0930510i
\(757\) 5.16090 6.47157i 0.187576 0.235213i −0.679147 0.734002i \(-0.737650\pi\)
0.866724 + 0.498789i \(0.166222\pi\)
\(758\) −15.8635 36.1972i −0.576190 1.31474i
\(759\) −17.4426 8.39992i −0.633127 0.304898i
\(760\) 39.8920 + 13.7384i 1.44703 + 0.498343i
\(761\) 31.0552 + 24.7657i 1.12575 + 0.897754i 0.995597 0.0937398i \(-0.0298822\pi\)
0.130152 + 0.991494i \(0.458454\pi\)
\(762\) −0.970159 2.21369i −0.0351452 0.0801937i
\(763\) −33.5748 + 4.29971i −1.21549 + 0.155660i
\(764\) 38.2518 + 11.6615i 1.38390 + 0.421900i
\(765\) 1.97402 0.0713710
\(766\) 3.46285 + 1.82289i 0.125118 + 0.0658638i
\(767\) −5.65255 + 4.50776i −0.204102 + 0.162766i
\(768\) −7.81710 + 13.9604i −0.282075 + 0.503753i
\(769\) −7.63740 + 15.8592i −0.275412 + 0.571898i −0.992093 0.125502i \(-0.959946\pi\)
0.716682 + 0.697400i \(0.245660\pi\)
\(770\) −3.12669 + 23.4084i −0.112678 + 0.843580i
\(771\) 11.8536 + 24.6143i 0.426897 + 0.886461i
\(772\) −5.75741 + 18.8853i −0.207214 + 0.679696i
\(773\) −13.7267 28.5037i −0.493714