Properties

Label 65.2.o.a.33.4
Level $65$
Weight $2$
Character 65.33
Analytic conductor $0.519$
Analytic rank $0$
Dimension $20$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 65 = 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 65.o (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.519027613138\)
Analytic rank: \(0\)
Dimension: \(20\)
Relative dimension: \(5\) over \(\Q(\zeta_{12})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{20} + \cdots)\)
Defining polynomial: \(x^{20} + 26 x^{18} + 279 x^{16} + 1604 x^{14} + 5353 x^{12} + 10466 x^{10} + 11441 x^{8} + 6176 x^{6} + 1263 x^{4} + 78 x^{2} + 1\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 33.4
Root \(-0.274809i\) of defining polynomial
Character \(\chi\) \(=\) 65.33
Dual form 65.2.o.a.2.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.137404 + 0.237991i) q^{2} +(-2.28256 + 0.611610i) q^{3} +(0.962240 + 1.66665i) q^{4} +(1.69883 + 1.45395i) q^{5} +(0.168076 - 0.627267i) q^{6} +(-0.334376 + 0.193052i) q^{7} -1.07848 q^{8} +(2.23793 - 1.29207i) q^{9} +O(q^{10})\) \(q+(-0.137404 + 0.237991i) q^{2} +(-2.28256 + 0.611610i) q^{3} +(0.962240 + 1.66665i) q^{4} +(1.69883 + 1.45395i) q^{5} +(0.168076 - 0.627267i) q^{6} +(-0.334376 + 0.193052i) q^{7} -1.07848 q^{8} +(2.23793 - 1.29207i) q^{9} +(-0.579454 + 0.204528i) q^{10} +(-1.12873 - 4.21249i) q^{11} +(-3.21571 - 3.21571i) q^{12} +(3.34024 - 1.35750i) q^{13} -0.106105i q^{14} +(-4.76693 - 2.27970i) q^{15} +(-1.77629 + 3.07663i) q^{16} +(0.510514 - 1.90527i) q^{17} +0.710144i q^{18} +(4.83947 + 1.29673i) q^{19} +(-0.788538 + 4.23041i) q^{20} +(0.645159 - 0.645159i) q^{21} +(1.15763 + 0.310185i) q^{22} +(0.0863441 + 0.322241i) q^{23} +(2.46170 - 0.659609i) q^{24} +(0.772064 + 4.94003i) q^{25} +(-0.135891 + 0.981474i) q^{26} +(0.694880 - 0.694880i) q^{27} +(-0.643499 - 0.371524i) q^{28} +(-7.07031 - 4.08205i) q^{29} +(1.19755 - 0.821248i) q^{30} +(-2.54187 - 2.54187i) q^{31} +(-1.56662 - 2.71347i) q^{32} +(5.15280 + 8.92491i) q^{33} +(0.383290 + 0.383290i) q^{34} +(-0.848736 - 0.158202i) q^{35} +(4.30685 + 2.48656i) q^{36} +(4.17859 + 2.41251i) q^{37} +(-0.973575 + 0.973575i) q^{38} +(-6.79403 + 5.14149i) q^{39} +(-1.83216 - 1.56806i) q^{40} +(4.49768 - 1.20515i) q^{41} +(0.0648946 + 0.242190i) q^{42} +(-6.58600 - 1.76471i) q^{43} +(5.93462 - 5.93462i) q^{44} +(5.68048 + 1.05883i) q^{45} +(-0.0885545 - 0.0237281i) q^{46} +9.83310i q^{47} +(2.17280 - 8.10898i) q^{48} +(-3.42546 + 5.93307i) q^{49} +(-1.28177 - 0.495037i) q^{50} +4.66112i q^{51} +(5.47658 + 4.26077i) q^{52} +(-7.17155 - 7.17155i) q^{53} +(0.0698958 + 0.260855i) q^{54} +(4.20721 - 8.79743i) q^{55} +(0.360618 - 0.208203i) q^{56} -11.8395 q^{57} +(1.94298 - 1.12178i) q^{58} +(0.628209 - 2.34451i) q^{59} +(-0.787474 - 10.1384i) q^{60} +(-5.32338 - 9.22037i) q^{61} +(0.954209 - 0.255679i) q^{62} +(-0.498873 + 0.864073i) q^{63} -6.24413 q^{64} +(7.64824 + 2.55038i) q^{65} -2.83207 q^{66} +(3.18796 - 5.52170i) q^{67} +(3.66665 - 0.982475i) q^{68} +(-0.394171 - 0.682724i) q^{69} +(0.154271 - 0.180254i) q^{70} +(-1.12684 + 4.20542i) q^{71} +(-2.41357 + 1.39347i) q^{72} +6.08593 q^{73} +(-1.14831 + 0.662979i) q^{74} +(-4.78365 - 10.8037i) q^{75} +(2.49554 + 9.31346i) q^{76} +(1.19065 + 1.19065i) q^{77} +(-0.290100 - 2.32338i) q^{78} +3.34944i q^{79} +(-7.49088 + 2.64404i) q^{80} +(-5.03732 + 8.72489i) q^{81} +(-0.331185 + 1.23600i) q^{82} +5.18834i q^{83} +(1.69605 + 0.454456i) q^{84} +(3.63744 - 2.49447i) q^{85} +(1.32493 - 1.32493i) q^{86} +(18.6350 + 4.99324i) q^{87} +(1.21732 + 4.54309i) q^{88} +(-4.82829 + 1.29374i) q^{89} +(-1.03251 + 1.20642i) q^{90} +(-0.854827 + 1.09875i) q^{91} +(-0.453978 + 0.453978i) q^{92} +(7.35661 + 4.24734i) q^{93} +(-2.34019 - 1.35111i) q^{94} +(6.33607 + 9.23927i) q^{95} +(5.23549 + 5.23549i) q^{96} +(-7.37402 - 12.7722i) q^{97} +(-0.941346 - 1.63046i) q^{98} +(-7.96886 - 7.96886i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 20q - 4q^{2} - 2q^{3} - 6q^{4} - 6q^{5} - 8q^{6} - 6q^{7} + 12q^{8} - 12q^{9} + O(q^{10}) \) \( 20q - 4q^{2} - 2q^{3} - 6q^{4} - 6q^{5} - 8q^{6} - 6q^{7} + 12q^{8} - 12q^{9} - 10q^{10} - 16q^{11} + 24q^{12} + 2q^{13} + 12q^{15} - 2q^{16} - 10q^{17} + 20q^{19} + 14q^{20} + 4q^{21} + 16q^{22} - 2q^{23} - 32q^{24} - 18q^{25} - 24q^{26} + 4q^{27} + 6q^{28} + 14q^{30} - 6q^{32} - 18q^{33} - 2q^{34} - 20q^{35} + 36q^{36} + 42q^{37} + 8q^{38} - 4q^{39} - 16q^{40} + 10q^{41} - 56q^{42} - 22q^{43} + 36q^{44} + 52q^{45} + 4q^{46} + 28q^{48} - 18q^{49} + 44q^{50} + 46q^{52} - 10q^{53} + 48q^{54} + 26q^{55} - 12q^{57} - 90q^{58} + 16q^{59} - 92q^{60} - 16q^{61} - 40q^{62} - 32q^{63} - 20q^{64} + 8q^{65} - 32q^{66} - 58q^{67} + 28q^{68} + 16q^{69} + 32q^{70} - 16q^{71} - 66q^{72} + 72q^{73} - 18q^{74} - 34q^{75} - 64q^{76} + 28q^{77} + 32q^{78} - 34q^{80} - 14q^{81} + 22q^{82} + 40q^{84} - 6q^{85} + 60q^{86} + 62q^{87} + 50q^{88} + 6q^{89} - 46q^{90} + 8q^{91} - 8q^{92} + 48q^{93} + 48q^{94} + 14q^{95} + 56q^{96} - 22q^{97} + 4q^{98} - 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/65\mathbb{Z}\right)^\times\).

\(n\) \(27\) \(41\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{11}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.137404 + 0.237991i −0.0971595 + 0.168285i −0.910508 0.413492i \(-0.864309\pi\)
0.813348 + 0.581777i \(0.197642\pi\)
\(3\) −2.28256 + 0.611610i −1.31784 + 0.353113i −0.848167 0.529729i \(-0.822293\pi\)
−0.469669 + 0.882842i \(0.655627\pi\)
\(4\) 0.962240 + 1.66665i 0.481120 + 0.833324i
\(5\) 1.69883 + 1.45395i 0.759741 + 0.650226i
\(6\) 0.168076 0.627267i 0.0686166 0.256081i
\(7\) −0.334376 + 0.193052i −0.126382 + 0.0729667i −0.561858 0.827234i \(-0.689913\pi\)
0.435476 + 0.900200i \(0.356580\pi\)
\(8\) −1.07848 −0.381301
\(9\) 2.23793 1.29207i 0.745977 0.430690i
\(10\) −0.579454 + 0.204528i −0.183239 + 0.0646776i
\(11\) −1.12873 4.21249i −0.340326 1.27011i −0.897979 0.440039i \(-0.854965\pi\)
0.557653 0.830074i \(-0.311702\pi\)
\(12\) −3.21571 3.21571i −0.928295 0.928295i
\(13\) 3.34024 1.35750i 0.926416 0.376502i
\(14\) 0.106105i 0.0283576i
\(15\) −4.76693 2.27970i −1.23082 0.588616i
\(16\) −1.77629 + 3.07663i −0.444073 + 0.769157i
\(17\) 0.510514 1.90527i 0.123818 0.462095i −0.875977 0.482353i \(-0.839782\pi\)
0.999795 + 0.0202583i \(0.00644886\pi\)
\(18\) 0.710144i 0.167383i
\(19\) 4.83947 + 1.29673i 1.11025 + 0.297491i 0.766932 0.641728i \(-0.221782\pi\)
0.343318 + 0.939219i \(0.388449\pi\)
\(20\) −0.788538 + 4.23041i −0.176322 + 0.945947i
\(21\) 0.645159 0.645159i 0.140785 0.140785i
\(22\) 1.15763 + 0.310185i 0.246807 + 0.0661318i
\(23\) 0.0863441 + 0.322241i 0.0180040 + 0.0671918i 0.974343 0.225067i \(-0.0722600\pi\)
−0.956339 + 0.292258i \(0.905593\pi\)
\(24\) 2.46170 0.659609i 0.502492 0.134642i
\(25\) 0.772064 + 4.94003i 0.154413 + 0.988006i
\(26\) −0.135891 + 0.981474i −0.0266504 + 0.192483i
\(27\) 0.694880 0.694880i 0.133730 0.133730i
\(28\) −0.643499 0.371524i −0.121610 0.0702115i
\(29\) −7.07031 4.08205i −1.31292 0.758017i −0.330345 0.943860i \(-0.607165\pi\)
−0.982579 + 0.185843i \(0.940498\pi\)
\(30\) 1.19755 0.821248i 0.218641 0.149939i
\(31\) −2.54187 2.54187i −0.456534 0.456534i 0.440982 0.897516i \(-0.354630\pi\)
−0.897516 + 0.440982i \(0.854630\pi\)
\(32\) −1.56662 2.71347i −0.276942 0.479678i
\(33\) 5.15280 + 8.92491i 0.896987 + 1.55363i
\(34\) 0.383290 + 0.383290i 0.0657336 + 0.0657336i
\(35\) −0.848736 0.158202i −0.143462 0.0267411i
\(36\) 4.30685 + 2.48656i 0.717809 + 0.414427i
\(37\) 4.17859 + 2.41251i 0.686956 + 0.396614i 0.802471 0.596691i \(-0.203518\pi\)
−0.115514 + 0.993306i \(0.536852\pi\)
\(38\) −0.973575 + 0.973575i −0.157935 + 0.157935i
\(39\) −6.79403 + 5.14149i −1.08792 + 0.823297i
\(40\) −1.83216 1.56806i −0.289690 0.247931i
\(41\) 4.49768 1.20515i 0.702419 0.188213i 0.110105 0.993920i \(-0.464881\pi\)
0.592314 + 0.805707i \(0.298214\pi\)
\(42\) 0.0648946 + 0.242190i 0.0100135 + 0.0373707i
\(43\) −6.58600 1.76471i −1.00436 0.269116i −0.281087 0.959682i \(-0.590695\pi\)
−0.723269 + 0.690566i \(0.757362\pi\)
\(44\) 5.93462 5.93462i 0.894678 0.894678i
\(45\) 5.68048 + 1.05883i 0.846795 + 0.157841i
\(46\) −0.0885545 0.0237281i −0.0130566 0.00349852i
\(47\) 9.83310i 1.43430i 0.696917 + 0.717152i \(0.254555\pi\)
−0.696917 + 0.717152i \(0.745445\pi\)
\(48\) 2.17280 8.10898i 0.313616 1.17043i
\(49\) −3.42546 + 5.93307i −0.489352 + 0.847582i
\(50\) −1.28177 0.495037i −0.181270 0.0700088i
\(51\) 4.66112i 0.652687i
\(52\) 5.47658 + 4.26077i 0.759466 + 0.590862i
\(53\) −7.17155 7.17155i −0.985088 0.985088i 0.0148021 0.999890i \(-0.495288\pi\)
−0.999890 + 0.0148021i \(0.995288\pi\)
\(54\) 0.0698958 + 0.260855i 0.00951161 + 0.0354978i
\(55\) 4.20721 8.79743i 0.567301 1.18625i
\(56\) 0.360618 0.208203i 0.0481896 0.0278223i
\(57\) −11.8395 −1.56818
\(58\) 1.94298 1.12178i 0.255126 0.147297i
\(59\) 0.628209 2.34451i 0.0817858 0.305229i −0.912900 0.408183i \(-0.866163\pi\)
0.994686 + 0.102954i \(0.0328294\pi\)
\(60\) −0.787474 10.1384i −0.101662 1.30887i
\(61\) −5.32338 9.22037i −0.681589 1.18055i −0.974496 0.224406i \(-0.927956\pi\)
0.292906 0.956141i \(-0.405378\pi\)
\(62\) 0.954209 0.255679i 0.121185 0.0324713i
\(63\) −0.498873 + 0.864073i −0.0628521 + 0.108863i
\(64\) −6.24413 −0.780516
\(65\) 7.64824 + 2.55038i 0.948647 + 0.316335i
\(66\) −2.83207 −0.348603
\(67\) 3.18796 5.52170i 0.389471 0.674583i −0.602908 0.797811i \(-0.705991\pi\)
0.992378 + 0.123228i \(0.0393246\pi\)
\(68\) 3.66665 0.982475i 0.444646 0.119143i
\(69\) −0.394171 0.682724i −0.0474526 0.0821903i
\(70\) 0.154271 0.180254i 0.0184389 0.0215445i
\(71\) −1.12684 + 4.20542i −0.133731 + 0.499091i −1.00000 0.000486883i \(-0.999845\pi\)
0.866269 + 0.499578i \(0.166512\pi\)
\(72\) −2.41357 + 1.39347i −0.284442 + 0.164222i
\(73\) 6.08593 0.712304 0.356152 0.934428i \(-0.384088\pi\)
0.356152 + 0.934428i \(0.384088\pi\)
\(74\) −1.14831 + 0.662979i −0.133489 + 0.0770697i
\(75\) −4.78365 10.8037i −0.552369 1.24751i
\(76\) 2.49554 + 9.31346i 0.286258 + 1.06833i
\(77\) 1.19065 + 1.19065i 0.135687 + 0.135687i
\(78\) −0.290100 2.32338i −0.0328474 0.263071i
\(79\) 3.34944i 0.376842i 0.982088 + 0.188421i \(0.0603369\pi\)
−0.982088 + 0.188421i \(0.939663\pi\)
\(80\) −7.49088 + 2.64404i −0.837506 + 0.295612i
\(81\) −5.03732 + 8.72489i −0.559702 + 0.969433i
\(82\) −0.331185 + 1.23600i −0.0365733 + 0.136493i
\(83\) 5.18834i 0.569494i 0.958603 + 0.284747i \(0.0919096\pi\)
−0.958603 + 0.284747i \(0.908090\pi\)
\(84\) 1.69605 + 0.454456i 0.185054 + 0.0495852i
\(85\) 3.63744 2.49447i 0.394536 0.270563i
\(86\) 1.32493 1.32493i 0.142871 0.142871i
\(87\) 18.6350 + 4.99324i 1.99788 + 0.535332i
\(88\) 1.21732 + 4.54309i 0.129766 + 0.484295i
\(89\) −4.82829 + 1.29374i −0.511798 + 0.137136i −0.505470 0.862844i \(-0.668681\pi\)
−0.00632782 + 0.999980i \(0.502014\pi\)
\(90\) −1.03251 + 1.20642i −0.108836 + 0.127167i
\(91\) −0.854827 + 1.09875i −0.0896102 + 0.115181i
\(92\) −0.453978 + 0.453978i −0.0473305 + 0.0473305i
\(93\) 7.35661 + 4.24734i 0.762845 + 0.440429i
\(94\) −2.34019 1.35111i −0.241372 0.139356i
\(95\) 6.33607 + 9.23927i 0.650067 + 0.947929i
\(96\) 5.23549 + 5.23549i 0.534345 + 0.534345i
\(97\) −7.37402 12.7722i −0.748718 1.29682i −0.948437 0.316965i \(-0.897336\pi\)
0.199719 0.979853i \(-0.435997\pi\)
\(98\) −0.941346 1.63046i −0.0950903 0.164701i
\(99\) −7.96886 7.96886i −0.800900 0.800900i
\(100\) −7.49039 + 6.04026i −0.749039 + 0.604026i
\(101\) 4.57218 + 2.63975i 0.454949 + 0.262665i 0.709918 0.704284i \(-0.248732\pi\)
−0.254969 + 0.966949i \(0.582065\pi\)
\(102\) −1.10930 0.640458i −0.109838 0.0634147i
\(103\) 1.21001 1.21001i 0.119226 0.119226i −0.644976 0.764203i \(-0.723133\pi\)
0.764203 + 0.644976i \(0.223133\pi\)
\(104\) −3.60238 + 1.46404i −0.353243 + 0.143560i
\(105\) 2.03405 0.157989i 0.198503 0.0154181i
\(106\) 2.69217 0.721364i 0.261487 0.0700651i
\(107\) 1.04897 + 3.91480i 0.101408 + 0.378458i 0.997913 0.0645749i \(-0.0205692\pi\)
−0.896505 + 0.443033i \(0.853902\pi\)
\(108\) 1.82676 + 0.489479i 0.175780 + 0.0471002i
\(109\) 5.02898 5.02898i 0.481689 0.481689i −0.423982 0.905671i \(-0.639368\pi\)
0.905671 + 0.423982i \(0.139368\pi\)
\(110\) 1.51562 + 2.21008i 0.144509 + 0.210723i
\(111\) −11.0134 2.95103i −1.04535 0.280099i
\(112\) 1.37167i 0.129610i
\(113\) −1.02863 + 3.83891i −0.0967655 + 0.361134i −0.997281 0.0736896i \(-0.976523\pi\)
0.900516 + 0.434824i \(0.143189\pi\)
\(114\) 1.62679 2.81769i 0.152363 0.263901i
\(115\) −0.321837 + 0.672973i −0.0300115 + 0.0627550i
\(116\) 15.7116i 1.45879i
\(117\) 5.72124 7.35381i 0.528929 0.679860i
\(118\) 0.471653 + 0.471653i 0.0434192 + 0.0434192i
\(119\) 0.197111 + 0.735630i 0.0180692 + 0.0674351i
\(120\) 5.14105 + 2.45861i 0.469311 + 0.224440i
\(121\) −6.94473 + 4.00954i −0.631339 + 0.364504i
\(122\) 2.92582 0.264892
\(123\) −9.52914 + 5.50165i −0.859213 + 0.496067i
\(124\) 1.79052 6.68231i 0.160793 0.600089i
\(125\) −5.87095 + 9.51483i −0.525113 + 0.851032i
\(126\) −0.137095 0.237455i −0.0122134 0.0211542i
\(127\) −11.0154 + 2.95156i −0.977455 + 0.261908i −0.711972 0.702207i \(-0.752198\pi\)
−0.265483 + 0.964116i \(0.585531\pi\)
\(128\) 3.99121 6.91298i 0.352777 0.611027i
\(129\) 16.1123 1.41860
\(130\) −1.65787 + 1.46978i −0.145405 + 0.128908i
\(131\) 20.8627 1.82279 0.911393 0.411536i \(-0.135008\pi\)
0.911393 + 0.411536i \(0.135008\pi\)
\(132\) −9.91645 + 17.1758i −0.863117 + 1.49496i
\(133\) −1.86854 + 0.500673i −0.162023 + 0.0434138i
\(134\) 0.876078 + 1.51741i 0.0756816 + 0.131084i
\(135\) 2.19080 0.170165i 0.188554 0.0146454i
\(136\) −0.550580 + 2.05479i −0.0472119 + 0.176197i
\(137\) 0.211266 0.121975i 0.0180497 0.0104210i −0.490948 0.871189i \(-0.663349\pi\)
0.508998 + 0.860768i \(0.330016\pi\)
\(138\) 0.216643 0.0184419
\(139\) −10.1187 + 5.84202i −0.858255 + 0.495514i −0.863428 0.504473i \(-0.831687\pi\)
0.00517263 + 0.999987i \(0.498353\pi\)
\(140\) −0.553020 1.56677i −0.0467387 0.132416i
\(141\) −6.01402 22.4446i −0.506472 1.89018i
\(142\) −0.846020 0.846020i −0.0709965 0.0709965i
\(143\) −9.48868 12.5385i −0.793483 1.04852i
\(144\) 9.18038i 0.765032i
\(145\) −6.07619 17.2146i −0.504600 1.42959i
\(146\) −0.836233 + 1.44840i −0.0692071 + 0.119870i
\(147\) 4.19009 15.6376i 0.345593 1.28977i
\(148\) 9.28566i 0.763277i
\(149\) 2.44620 + 0.655457i 0.200400 + 0.0536971i 0.357623 0.933866i \(-0.383587\pi\)
−0.157223 + 0.987563i \(0.550254\pi\)
\(150\) 3.22848 + 0.346009i 0.263605 + 0.0282515i
\(151\) 2.58498 2.58498i 0.210362 0.210362i −0.594059 0.804421i \(-0.702475\pi\)
0.804421 + 0.594059i \(0.202475\pi\)
\(152\) −5.21928 1.39850i −0.423339 0.113433i
\(153\) −1.31924 4.92348i −0.106654 0.398039i
\(154\) −0.446964 + 0.119764i −0.0360174 + 0.00965083i
\(155\) −0.622463 8.01398i −0.0499974 0.643698i
\(156\) −15.1066 6.37592i −1.20949 0.510482i
\(157\) −2.21767 + 2.21767i −0.176990 + 0.176990i −0.790042 0.613053i \(-0.789941\pi\)
0.613053 + 0.790042i \(0.289941\pi\)
\(158\) −0.797137 0.460228i −0.0634169 0.0366137i
\(159\) 20.7557 + 11.9833i 1.64603 + 0.950337i
\(160\) 1.28382 6.88752i 0.101495 0.544506i
\(161\) −0.0910805 0.0910805i −0.00717815 0.00717815i
\(162\) −1.38430 2.39768i −0.108761 0.188379i
\(163\) −7.40642 12.8283i −0.580116 1.00479i −0.995465 0.0951279i \(-0.969674\pi\)
0.415349 0.909662i \(-0.363659\pi\)
\(164\) 6.33641 + 6.33641i 0.494790 + 0.494790i
\(165\) −4.22262 + 22.6538i −0.328730 + 1.76360i
\(166\) −1.23478 0.712900i −0.0958374 0.0553318i
\(167\) 3.00348 + 1.73406i 0.232417 + 0.134186i 0.611686 0.791100i \(-0.290491\pi\)
−0.379270 + 0.925286i \(0.623825\pi\)
\(168\) −0.695792 + 0.695792i −0.0536815 + 0.0536815i
\(169\) 9.31440 9.06873i 0.716492 0.697595i
\(170\) 0.0938613 + 1.20843i 0.00719883 + 0.0926823i
\(171\) 12.5059 3.35094i 0.956348 0.256253i
\(172\) −3.39616 12.6746i −0.258955 0.966432i
\(173\) −3.77661 1.01194i −0.287130 0.0769362i 0.112379 0.993665i \(-0.464153\pi\)
−0.399509 + 0.916729i \(0.630819\pi\)
\(174\) −3.74888 + 3.74888i −0.284202 + 0.284202i
\(175\) −1.21184 1.50278i −0.0916066 0.113599i
\(176\) 14.9652 + 4.00992i 1.12805 + 0.302259i
\(177\) 5.73569i 0.431121i
\(178\) 0.355530 1.32686i 0.0266481 0.0994521i
\(179\) 3.24880 5.62708i 0.242827 0.420588i −0.718692 0.695329i \(-0.755259\pi\)
0.961518 + 0.274741i \(0.0885921\pi\)
\(180\) 3.70129 + 10.4862i 0.275878 + 0.781595i
\(181\) 11.9845i 0.890802i 0.895331 + 0.445401i \(0.146939\pi\)
−0.895331 + 0.445401i \(0.853061\pi\)
\(182\) −0.144037 0.354415i −0.0106767 0.0262710i
\(183\) 17.7902 + 17.7902i 1.31509 + 1.31509i
\(184\) −0.0931205 0.347530i −0.00686493 0.0256203i
\(185\) 3.59106 + 10.1739i 0.264020 + 0.748001i
\(186\) −2.02166 + 1.16721i −0.148235 + 0.0855837i
\(187\) −8.60214 −0.629051
\(188\) −16.3883 + 9.46180i −1.19524 + 0.690073i
\(189\) −0.0982030 + 0.366499i −0.00714322 + 0.0266588i
\(190\) −3.06947 + 0.238412i −0.222683 + 0.0172963i
\(191\) 2.59646 + 4.49719i 0.187873 + 0.325405i 0.944541 0.328394i \(-0.106507\pi\)
−0.756668 + 0.653799i \(0.773174\pi\)
\(192\) 14.2526 3.81897i 1.02859 0.275610i
\(193\) −3.33706 + 5.77996i −0.240207 + 0.416051i −0.960773 0.277335i \(-0.910549\pi\)
0.720566 + 0.693386i \(0.243882\pi\)
\(194\) 4.05289 0.290980
\(195\) −19.0174 1.14365i −1.36186 0.0818982i
\(196\) −13.1845 −0.941748
\(197\) −9.79857 + 16.9716i −0.698119 + 1.20918i 0.270999 + 0.962580i \(0.412646\pi\)
−0.969118 + 0.246598i \(0.920687\pi\)
\(198\) 2.99147 0.801563i 0.212595 0.0569646i
\(199\) 7.35302 + 12.7358i 0.521242 + 0.902817i 0.999695 + 0.0247042i \(0.00786439\pi\)
−0.478453 + 0.878113i \(0.658802\pi\)
\(200\) −0.832657 5.32773i −0.0588777 0.376727i
\(201\) −3.89957 + 14.5534i −0.275054 + 1.02652i
\(202\) −1.25647 + 0.725425i −0.0884052 + 0.0510408i
\(203\) 3.15219 0.221240
\(204\) −7.76844 + 4.48511i −0.543900 + 0.314021i
\(205\) 9.39303 + 4.49205i 0.656038 + 0.313738i
\(206\) 0.121712 + 0.454234i 0.00848005 + 0.0316480i
\(207\) 0.609590 + 0.609590i 0.0423694 + 0.0423694i
\(208\) −1.75673 + 12.6880i −0.121807 + 0.879754i
\(209\) 21.8499i 1.51139i
\(210\) −0.241887 + 0.505794i −0.0166918 + 0.0349031i
\(211\) 10.7072 18.5453i 0.737111 1.27671i −0.216679 0.976243i \(-0.569523\pi\)
0.953791 0.300471i \(-0.0971440\pi\)
\(212\) 5.05170 18.8532i 0.346952 1.29484i
\(213\) 10.2883i 0.704943i
\(214\) −1.07582 0.288265i −0.0735416 0.0197054i
\(215\) −8.62271 12.5737i −0.588064 0.857517i
\(216\) −0.749414 + 0.749414i −0.0509912 + 0.0509912i
\(217\) 1.34065 + 0.359227i 0.0910095 + 0.0243859i
\(218\) 0.505850 + 1.88786i 0.0342605 + 0.127862i
\(219\) −13.8915 + 3.72221i −0.938700 + 0.251524i
\(220\) 18.7106 1.45329i 1.26147 0.0979809i
\(221\) −0.881153 7.05707i −0.0592728 0.474710i
\(222\) 2.21561 2.21561i 0.148702 0.148702i
\(223\) 23.6733 + 13.6678i 1.58528 + 0.915264i 0.994069 + 0.108749i \(0.0346846\pi\)
0.591214 + 0.806515i \(0.298649\pi\)
\(224\) 1.04768 + 0.604878i 0.0700010 + 0.0404151i
\(225\) 8.11070 + 10.0579i 0.540713 + 0.670526i
\(226\) −0.772287 0.772287i −0.0513718 0.0513718i
\(227\) −3.46369 5.99928i −0.229893 0.398186i 0.727883 0.685701i \(-0.240504\pi\)
−0.957776 + 0.287515i \(0.907171\pi\)
\(228\) −11.3924 19.7322i −0.754481 1.30680i
\(229\) −4.56825 4.56825i −0.301879 0.301879i 0.539870 0.841749i \(-0.318473\pi\)
−0.841749 + 0.539870i \(0.818473\pi\)
\(230\) −0.115940 0.169064i −0.00764484 0.0111477i
\(231\) −3.44594 1.98951i −0.226726 0.130900i
\(232\) 7.62520 + 4.40241i 0.500619 + 0.289032i
\(233\) −5.49074 + 5.49074i −0.359711 + 0.359711i −0.863706 0.503996i \(-0.831863\pi\)
0.503996 + 0.863706i \(0.331863\pi\)
\(234\) 0.964019 + 2.37205i 0.0630199 + 0.155066i
\(235\) −14.2968 + 16.7048i −0.932622 + 1.08970i
\(236\) 4.51196 1.20898i 0.293703 0.0786976i
\(237\) −2.04855 7.64529i −0.133068 0.496615i
\(238\) −0.202157 0.0541679i −0.0131039 0.00351119i
\(239\) −8.33949 + 8.33949i −0.539437 + 0.539437i −0.923363 0.383927i \(-0.874571\pi\)
0.383927 + 0.923363i \(0.374571\pi\)
\(240\) 15.4813 10.6167i 0.999311 0.685303i
\(241\) −1.40952 0.377680i −0.0907952 0.0243285i 0.213135 0.977023i \(-0.431632\pi\)
−0.303931 + 0.952694i \(0.598299\pi\)
\(242\) 2.20371i 0.141660i
\(243\) 5.39872 20.1483i 0.346328 1.29251i
\(244\) 10.2447 17.7444i 0.655853 1.13597i
\(245\) −14.4457 + 5.09885i −0.922900 + 0.325754i
\(246\) 3.02380i 0.192791i
\(247\) 17.9253 2.23817i 1.14056 0.142412i
\(248\) 2.74136 + 2.74136i 0.174077 + 0.174077i
\(249\) −3.17324 11.8427i −0.201096 0.750500i
\(250\) −1.45775 2.70461i −0.0921964 0.171055i
\(251\) −11.2668 + 6.50488i −0.711153 + 0.410585i −0.811488 0.584369i \(-0.801342\pi\)
0.100335 + 0.994954i \(0.468009\pi\)
\(252\) −1.92014 −0.120958
\(253\) 1.25997 0.727447i 0.0792139 0.0457342i
\(254\) 0.811113 3.02712i 0.0508938 0.189938i
\(255\) −6.77703 + 7.91846i −0.424394 + 0.495873i
\(256\) −5.14731 8.91540i −0.321707 0.557212i
\(257\) −28.4576 + 7.62518i −1.77513 + 0.475646i −0.989683 0.143276i \(-0.954236\pi\)
−0.785452 + 0.618922i \(0.787570\pi\)
\(258\) −2.21389 + 3.83458i −0.137831 + 0.238730i
\(259\) −1.86296 −0.115759
\(260\) 3.10886 + 15.2010i 0.192803 + 0.942726i
\(261\) −21.0972 −1.30588
\(262\) −2.86663 + 4.96515i −0.177101 + 0.306748i
\(263\) 4.88034 1.30768i 0.300934 0.0806351i −0.105192 0.994452i \(-0.533546\pi\)
0.406127 + 0.913817i \(0.366879\pi\)
\(264\) −5.55719 9.62534i −0.342022 0.592399i
\(265\) −1.75619 22.6103i −0.107882 1.38894i
\(266\) 0.137589 0.513490i 0.00843614 0.0314841i
\(267\) 10.2296 5.90606i 0.626041 0.361445i
\(268\) 12.2703 0.749529
\(269\) −7.49111 + 4.32499i −0.456741 + 0.263699i −0.710673 0.703523i \(-0.751609\pi\)
0.253932 + 0.967222i \(0.418276\pi\)
\(270\) −0.260528 + 0.544773i −0.0158552 + 0.0331539i
\(271\) 5.96047 + 22.2448i 0.362073 + 1.35127i 0.871346 + 0.490669i \(0.163248\pi\)
−0.509273 + 0.860605i \(0.670086\pi\)
\(272\) 4.95497 + 4.95497i 0.300439 + 0.300439i
\(273\) 1.27918 3.03079i 0.0774198 0.183432i
\(274\) 0.0670394i 0.00405000i
\(275\) 19.9384 8.82829i 1.20233 0.532366i
\(276\) 0.758574 1.31389i 0.0456608 0.0790868i
\(277\) −5.60114 + 20.9037i −0.336540 + 1.25598i 0.565650 + 0.824645i \(0.308625\pi\)
−0.902190 + 0.431338i \(0.858042\pi\)
\(278\) 3.21087i 0.192575i
\(279\) −8.97282 2.40426i −0.537189 0.143939i
\(280\) 0.915345 + 0.170618i 0.0547023 + 0.0101964i
\(281\) 8.17717 8.17717i 0.487809 0.487809i −0.419805 0.907614i \(-0.637902\pi\)
0.907614 + 0.419805i \(0.137902\pi\)
\(282\) 6.16797 + 1.65270i 0.367298 + 0.0984171i
\(283\) −1.16452 4.34603i −0.0692233 0.258345i 0.922638 0.385667i \(-0.126029\pi\)
−0.991861 + 0.127322i \(0.959362\pi\)
\(284\) −8.09325 + 2.16858i −0.480246 + 0.128681i
\(285\) −20.1133 17.2140i −1.19141 1.01967i
\(286\) 4.28783 0.535383i 0.253545 0.0316579i
\(287\) −1.27126 + 1.27126i −0.0750400 + 0.0750400i
\(288\) −7.01198 4.04837i −0.413185 0.238552i
\(289\) 11.3530 + 6.55467i 0.667825 + 0.385569i
\(290\) 4.93182 + 0.919279i 0.289606 + 0.0539819i
\(291\) 24.6432 + 24.6432i 1.44461 + 1.44461i
\(292\) 5.85613 + 10.1431i 0.342704 + 0.593580i
\(293\) 6.55274 + 11.3497i 0.382815 + 0.663056i 0.991463 0.130385i \(-0.0416212\pi\)
−0.608648 + 0.793440i \(0.708288\pi\)
\(294\) 3.14588 + 3.14588i 0.183472 + 0.183472i
\(295\) 4.47601 3.06954i 0.260604 0.178716i
\(296\) −4.50653 2.60185i −0.261937 0.151229i
\(297\) −3.71150 2.14284i −0.215363 0.124340i
\(298\) −0.492111 + 0.492111i −0.0285072 + 0.0285072i
\(299\) 0.725851 + 0.959149i 0.0419770 + 0.0554690i
\(300\) 13.4030 18.3684i 0.773821 1.06050i
\(301\) 2.54288 0.681363i 0.146569 0.0392731i
\(302\) 0.260015 + 0.970388i 0.0149622 + 0.0558396i
\(303\) −12.0508 3.22899i −0.692298 0.185501i
\(304\) −12.5859 + 12.5859i −0.721849 + 0.721849i
\(305\) 4.36241 23.4038i 0.249791 1.34010i
\(306\) 1.35301 + 0.362539i 0.0773466 + 0.0207250i
\(307\) 7.75447i 0.442571i −0.975209 0.221285i \(-0.928975\pi\)
0.975209 0.221285i \(-0.0710252\pi\)
\(308\) −0.838703 + 3.13008i −0.0477896 + 0.178353i
\(309\) −2.02187 + 3.50198i −0.115020 + 0.199221i
\(310\) 1.99279 + 0.953014i 0.113183 + 0.0541276i
\(311\) 11.6030i 0.657947i 0.944339 + 0.328974i \(0.106703\pi\)
−0.944339 + 0.328974i \(0.893297\pi\)
\(312\) 7.32724 5.54500i 0.414823 0.313924i
\(313\) −10.1565 10.1565i −0.574078 0.574078i 0.359188 0.933265i \(-0.383054\pi\)
−0.933265 + 0.359188i \(0.883054\pi\)
\(314\) −0.223069 0.832505i −0.0125885 0.0469810i
\(315\) −2.10382 + 0.742580i −0.118537 + 0.0418397i
\(316\) −5.58234 + 3.22297i −0.314031 + 0.181306i
\(317\) 21.7686 1.22265 0.611323 0.791381i \(-0.290638\pi\)
0.611323 + 0.791381i \(0.290638\pi\)
\(318\) −5.70384 + 3.29311i −0.319855 + 0.184669i
\(319\) −9.21508 + 34.3911i −0.515945 + 1.92553i
\(320\) −10.6077 9.07864i −0.592990 0.507512i
\(321\) −4.78866 8.29420i −0.267277 0.462937i
\(322\) 0.0341912 0.00916151i 0.00190540 0.000510551i
\(323\) 4.94124 8.55848i 0.274938 0.476206i
\(324\) −19.3884 −1.07714
\(325\) 9.28496 + 15.4528i 0.515037 + 0.857168i
\(326\) 4.07070 0.225455
\(327\) −8.40318 + 14.5547i −0.464697 + 0.804878i
\(328\) −4.85066 + 1.29973i −0.267833 + 0.0717656i
\(329\) −1.89830 3.28795i −0.104657 0.181270i
\(330\) −4.81121 4.11768i −0.264848 0.226671i
\(331\) −5.07792 + 18.9511i −0.279108 + 1.04164i 0.673931 + 0.738795i \(0.264605\pi\)
−0.953038 + 0.302850i \(0.902062\pi\)
\(332\) −8.64714 + 4.99243i −0.474573 + 0.273995i
\(333\) 12.4685 0.683272
\(334\) −0.825383 + 0.476535i −0.0451630 + 0.0260748i
\(335\) 13.4441 4.74532i 0.734528 0.259265i
\(336\) 0.838924 + 3.13091i 0.0457671 + 0.170805i
\(337\) 9.35946 + 9.35946i 0.509842 + 0.509842i 0.914478 0.404636i \(-0.132602\pi\)
−0.404636 + 0.914478i \(0.632602\pi\)
\(338\) 0.878441 + 3.46283i 0.0477809 + 0.188353i
\(339\) 9.39165i 0.510084i
\(340\) 7.65749 + 3.66206i 0.415286 + 0.198603i
\(341\) −7.83852 + 13.5767i −0.424480 + 0.735220i
\(342\) −0.920867 + 3.43672i −0.0497948 + 0.185837i
\(343\) 5.34789i 0.288759i
\(344\) 7.10288 + 1.90321i 0.382962 + 0.102614i
\(345\) 0.323016 1.73294i 0.0173906 0.0932983i
\(346\) 0.759754 0.759754i 0.0408446 0.0408446i
\(347\) 26.7102 + 7.15698i 1.43388 + 0.384207i 0.890386 0.455207i \(-0.150435\pi\)
0.543493 + 0.839414i \(0.317101\pi\)
\(348\) 9.60939 + 35.8627i 0.515118 + 1.92244i
\(349\) 28.5113 7.63958i 1.52618 0.408938i 0.604406 0.796676i \(-0.293410\pi\)
0.921769 + 0.387739i \(0.126744\pi\)
\(350\) 0.524160 0.0819196i 0.0280175 0.00437878i
\(351\) 1.37777 3.26436i 0.0735398 0.174239i
\(352\) −9.66215 + 9.66215i −0.514994 + 0.514994i
\(353\) −13.5408 7.81777i −0.720702 0.416098i 0.0943088 0.995543i \(-0.469936\pi\)
−0.815011 + 0.579445i \(0.803269\pi\)
\(354\) −1.36504 0.788109i −0.0725513 0.0418875i
\(355\) −8.02878 + 5.50594i −0.426123 + 0.292225i
\(356\) −6.80218 6.80218i −0.360515 0.360515i
\(357\) −0.899837 1.55856i −0.0476244 0.0824879i
\(358\) 0.892798 + 1.54637i 0.0471858 + 0.0817282i
\(359\) −14.0592 14.0592i −0.742017 0.742017i 0.230949 0.972966i \(-0.425817\pi\)
−0.972966 + 0.230949i \(0.925817\pi\)
\(360\) −6.12628 1.14192i −0.322884 0.0601847i
\(361\) 5.28447 + 3.05099i 0.278130 + 0.160578i
\(362\) −2.85221 1.64672i −0.149909 0.0865499i
\(363\) 13.3995 13.3995i 0.703290 0.703290i
\(364\) −2.65378 0.367432i −0.139096 0.0192587i
\(365\) 10.3390 + 8.84863i 0.541167 + 0.463159i
\(366\) −6.67836 + 1.78946i −0.349084 + 0.0935367i
\(367\) −5.70052 21.2746i −0.297565 1.11053i −0.939159 0.343483i \(-0.888393\pi\)
0.641594 0.767045i \(-0.278273\pi\)
\(368\) −1.14479 0.306745i −0.0596761 0.0159902i
\(369\) 8.50836 8.50836i 0.442928 0.442928i
\(370\) −2.91473 0.543299i −0.151530 0.0282448i
\(371\) 3.78247 + 1.01351i 0.196376 + 0.0526188i
\(372\) 16.3479i 0.847597i
\(373\) −0.301668 + 1.12584i −0.0156198 + 0.0582937i −0.973296 0.229554i \(-0.926273\pi\)
0.957676 + 0.287848i \(0.0929398\pi\)
\(374\) 1.18197 2.04723i 0.0611183 0.105860i
\(375\) 7.58142 25.3089i 0.391503 1.30695i
\(376\) 10.6048i 0.546901i
\(377\) −29.1579 4.03708i −1.50171 0.207920i
\(378\) −0.0737299 0.0737299i −0.00379226 0.00379226i
\(379\) −6.82640 25.4765i −0.350649 1.30864i −0.885873 0.463928i \(-0.846440\pi\)
0.535224 0.844710i \(-0.320227\pi\)
\(380\) −9.30181 + 19.4504i −0.477173 + 0.997784i
\(381\) 23.3380 13.4742i 1.19564 0.690304i
\(382\) −1.42706 −0.0730146
\(383\) 28.4058 16.4001i 1.45147 0.838004i 0.452901 0.891561i \(-0.350389\pi\)
0.998565 + 0.0535563i \(0.0170557\pi\)
\(384\) −4.88213 + 18.2204i −0.249140 + 0.929804i
\(385\) 0.291570 + 3.75386i 0.0148598 + 0.191314i
\(386\) −0.917054 1.58838i −0.0466768 0.0808466i
\(387\) −17.0192 + 4.56027i −0.865132 + 0.231812i
\(388\) 14.1912 24.5798i 0.720447 1.24785i
\(389\) −9.36826 −0.474989 −0.237495 0.971389i \(-0.576326\pi\)
−0.237495 + 0.971389i \(0.576326\pi\)
\(390\) 2.88525 4.36883i 0.146100 0.221224i
\(391\) 0.658034 0.0332782
\(392\) 3.69430 6.39871i 0.186590 0.323184i
\(393\) −47.6205 + 12.7599i −2.40213 + 0.643650i
\(394\) −2.69273 4.66395i −0.135658 0.234966i
\(395\) −4.86992 + 5.69014i −0.245032 + 0.286302i
\(396\) 5.61333 20.9492i 0.282080 1.05274i
\(397\) 10.0909 5.82600i 0.506449 0.292399i −0.224924 0.974376i \(-0.572213\pi\)
0.731373 + 0.681978i \(0.238880\pi\)
\(398\) −4.04135 −0.202574
\(399\) 3.95883 2.28563i 0.198189 0.114425i
\(400\) −16.5701 6.39959i −0.828503 0.319979i
\(401\) −5.33600 19.9142i −0.266467 0.994469i −0.961346 0.275342i \(-0.911209\pi\)
0.694879 0.719126i \(-0.255458\pi\)
\(402\) −2.92776 2.92776i −0.146024 0.146024i
\(403\) −11.9411 5.03988i −0.594827 0.251054i
\(404\) 10.1603i 0.505493i
\(405\) −21.2431 + 7.49813i −1.05558 + 0.372585i
\(406\) −0.433124 + 0.750193i −0.0214956 + 0.0372314i
\(407\) 5.44616 20.3253i 0.269956 1.00749i
\(408\) 5.02693i 0.248870i
\(409\) −4.40250 1.17965i −0.217689 0.0583297i 0.148326 0.988939i \(-0.452612\pi\)
−0.366015 + 0.930609i \(0.619278\pi\)
\(410\) −2.35971 + 1.61823i −0.116538 + 0.0799188i
\(411\) −0.407627 + 0.407627i −0.0201067 + 0.0201067i
\(412\) 3.18099 + 0.852344i 0.156716 + 0.0419920i
\(413\) 0.242554 + 0.905223i 0.0119353 + 0.0445431i
\(414\) −0.228837 + 0.0613168i −0.0112467 + 0.00301355i
\(415\) −7.54358 + 8.81412i −0.370300 + 0.432668i
\(416\) −8.91642 6.93695i −0.437163 0.340112i
\(417\) 19.5234 19.5234i 0.956067 0.956067i
\(418\) 5.20008 + 3.00227i 0.254344 + 0.146846i
\(419\) −0.564687 0.326022i −0.0275868 0.0159272i 0.486143 0.873879i \(-0.338403\pi\)
−0.513730 + 0.857952i \(0.671737\pi\)
\(420\) 2.22055 + 3.23802i 0.108352 + 0.157999i
\(421\) −5.58095 5.58095i −0.271999 0.271999i 0.557906 0.829904i \(-0.311605\pi\)
−0.829904 + 0.557906i \(0.811605\pi\)
\(422\) 2.94242 + 5.09642i 0.143235 + 0.248090i
\(423\) 12.7051 + 22.0058i 0.617741 + 1.06996i
\(424\) 7.73438 + 7.73438i 0.375615 + 0.375615i
\(425\) 9.80622 + 1.05097i 0.475672 + 0.0509795i
\(426\) 2.44853 + 1.41366i 0.118631 + 0.0684919i
\(427\) 3.56002 + 2.05538i 0.172281 + 0.0994667i
\(428\) −5.51524 + 5.51524i −0.266589 + 0.266589i
\(429\) 29.3271 + 22.8164i 1.41593 + 1.10159i
\(430\) 4.17722 0.324454i 0.201443 0.0156466i
\(431\) −34.5325 + 9.25295i −1.66337 + 0.445699i −0.963312 0.268385i \(-0.913510\pi\)
−0.700060 + 0.714084i \(0.746843\pi\)
\(432\) 0.903577 + 3.37220i 0.0434734 + 0.162245i
\(433\) 25.4810 + 6.82761i 1.22454 + 0.328114i 0.812450 0.583031i \(-0.198133\pi\)
0.412087 + 0.911144i \(0.364800\pi\)
\(434\) −0.269705 + 0.269705i −0.0129462 + 0.0129462i
\(435\) 24.3979 + 35.5771i 1.16979 + 1.70579i
\(436\) 13.2206 + 3.54246i 0.633154 + 0.169653i
\(437\) 1.67144i 0.0799558i
\(438\) 1.02290 3.81750i 0.0488759 0.182407i
\(439\) 0.864675 1.49766i 0.0412687 0.0714794i −0.844653 0.535314i \(-0.820193\pi\)
0.885922 + 0.463834i \(0.153527\pi\)
\(440\) −4.53740 + 9.48786i −0.216312 + 0.452316i
\(441\) 17.7038i 0.843036i
\(442\) 1.80059 + 0.759965i 0.0856455 + 0.0361478i
\(443\) 2.86737 + 2.86737i 0.136233 + 0.136233i 0.771935 0.635702i \(-0.219289\pi\)
−0.635702 + 0.771935i \(0.719289\pi\)
\(444\) −5.67920 21.1951i −0.269523 1.00587i
\(445\) −10.0835 4.82225i −0.478003 0.228596i
\(446\) −6.50564 + 3.75603i −0.308051 + 0.177853i
\(447\) −5.98448 −0.283056
\(448\) 2.08788 1.20544i 0.0986432 0.0569517i
\(449\) 5.22508 19.5003i 0.246587 0.920274i −0.725993 0.687702i \(-0.758619\pi\)
0.972579 0.232571i \(-0.0747139\pi\)
\(450\) −3.50813 + 0.548277i −0.165375 + 0.0258460i
\(451\) −10.1534 17.5861i −0.478103 0.828098i
\(452\) −7.38790 + 1.97958i −0.347497 + 0.0931117i
\(453\) −4.31936 + 7.48135i −0.202941 + 0.351505i
\(454\) 1.90370 0.0893452
\(455\) −3.04974 + 0.623723i −0.142974 + 0.0292406i
\(456\) 12.7686 0.597946
\(457\) 7.39079 12.8012i 0.345727 0.598816i −0.639759 0.768576i \(-0.720966\pi\)
0.985486 + 0.169759i \(0.0542991\pi\)
\(458\) 1.71490 0.459507i 0.0801321 0.0214713i
\(459\) −0.969184 1.67868i −0.0452377 0.0783539i
\(460\) −1.43129 + 0.111172i −0.0667344 + 0.00518341i
\(461\) −1.57205 + 5.86696i −0.0732175 + 0.273252i −0.992823 0.119591i \(-0.961842\pi\)
0.919606 + 0.392843i \(0.128508\pi\)
\(462\) 0.946973 0.546735i 0.0440572 0.0254364i
\(463\) −36.0148 −1.67375 −0.836874 0.547396i \(-0.815619\pi\)
−0.836874 + 0.547396i \(0.815619\pi\)
\(464\) 25.1179 14.5018i 1.16607 0.673230i
\(465\) 6.32224 + 17.9117i 0.293187 + 0.830634i
\(466\) −0.552297 2.06120i −0.0255847 0.0954833i
\(467\) −7.68952 7.68952i −0.355829 0.355829i 0.506444 0.862273i \(-0.330960\pi\)
−0.862273 + 0.506444i \(0.830960\pi\)
\(468\) 17.7614 + 2.45917i 0.821022 + 0.113675i
\(469\) 2.46176i 0.113674i
\(470\) −2.01115 5.69783i −0.0927673 0.262821i
\(471\) 3.70562 6.41832i 0.170746 0.295741i
\(472\) −0.677511 + 2.52851i −0.0311850 + 0.116384i
\(473\) 29.7353i 1.36723i
\(474\) 2.10099 + 0.562959i 0.0965018 + 0.0258576i
\(475\) −2.66952 + 24.9083i −0.122486 + 1.14287i
\(476\) −1.03637 + 1.03637i −0.0475019 + 0.0475019i
\(477\) −25.3156 6.78329i −1.15912 0.310586i
\(478\) −0.838843 3.13061i −0.0383678 0.143191i
\(479\) 8.87096 2.37697i 0.405324 0.108606i −0.0503960 0.998729i \(-0.516048\pi\)
0.455720 + 0.890123i \(0.349382\pi\)
\(480\) 1.28208 + 16.5064i 0.0585189 + 0.753408i
\(481\) 17.2325 + 2.38594i 0.785733 + 0.108789i
\(482\) 0.283559 0.283559i 0.0129157 0.0129157i
\(483\) 0.263602 + 0.152191i 0.0119943 + 0.00692492i
\(484\) −13.3650 7.71629i −0.607500 0.350740i
\(485\) 6.04287 32.4192i 0.274393 1.47208i
\(486\) 4.05331 + 4.05331i 0.183862 + 0.183862i
\(487\) −12.8657 22.2840i −0.582998 1.00978i −0.995122 0.0986549i \(-0.968546\pi\)
0.412123 0.911128i \(-0.364787\pi\)
\(488\) 5.74117 + 9.94399i 0.259890 + 0.450143i
\(489\) 24.7515 + 24.7515i 1.11930 + 1.11930i
\(490\) 0.771416 4.13855i 0.0348490 0.186961i
\(491\) 11.4291 + 6.59859i 0.515788 + 0.297790i 0.735210 0.677840i \(-0.237084\pi\)
−0.219422 + 0.975630i \(0.570417\pi\)
\(492\) −18.3386 10.5878i −0.826769 0.477336i
\(493\) −11.3869 + 11.3869i −0.512839 + 0.512839i
\(494\) −1.93035 + 4.57360i −0.0868504 + 0.205776i
\(495\) −1.95144 25.1241i −0.0877108 1.12924i
\(496\) 12.3355 3.30529i 0.553881 0.148412i
\(497\) −0.435076 1.62373i −0.0195158 0.0728341i
\(498\) 3.25447 + 0.872033i 0.145836 + 0.0390767i
\(499\) −16.7683 + 16.7683i −0.750650 + 0.750650i −0.974601 0.223950i \(-0.928105\pi\)
0.223950 + 0.974601i \(0.428105\pi\)
\(500\) −21.5071 0.629257i −0.961829 0.0281412i
\(501\) −7.91620 2.12114i −0.353670 0.0947655i
\(502\) 3.57520i 0.159569i
\(503\) 1.95124 7.28214i 0.0870017 0.324695i −0.908684 0.417485i \(-0.862912\pi\)
0.995686 + 0.0927898i \(0.0295785\pi\)
\(504\) 0.538025 0.931887i 0.0239655 0.0415095i
\(505\) 3.92931 + 11.1322i 0.174852 + 0.495377i
\(506\) 0.399817i 0.0177740i
\(507\) −15.7141 + 26.3967i −0.697889 + 1.17232i
\(508\) −15.5186 15.5186i −0.688528 0.688528i
\(509\) 7.93327 + 29.6074i 0.351636 + 1.31232i 0.884666 + 0.466226i \(0.154387\pi\)
−0.533030 + 0.846097i \(0.678947\pi\)
\(510\) −0.953331 2.70090i −0.0422142 0.119598i
\(511\) −2.03499 + 1.17490i −0.0900225 + 0.0519745i
\(512\) 18.7939 0.830581
\(513\) 4.26392 2.46178i 0.188257 0.108690i
\(514\) 2.09547 7.82039i 0.0924271 0.344942i
\(515\) 3.81491 0.296312i 0.168105 0.0130571i
\(516\) 15.5039 + 26.8535i 0.682519 + 1.18216i
\(517\) 41.4218 11.0989i 1.82173 0.488131i
\(518\) 0.255979 0.443368i 0.0112471 0.0194805i
\(519\) 9.23923 0.405557
\(520\) −8.24848 2.75053i −0.361720 0.120619i
\(521\) −7.16076 −0.313719 −0.156859 0.987621i \(-0.550137\pi\)
−0.156859 + 0.987621i \(0.550137\pi\)
\(522\) 2.89884 5.02094i 0.126879 0.219761i
\(523\) −10.3897 + 2.78390i −0.454308 + 0.121731i −0.478714 0.877971i \(-0.658897\pi\)
0.0244065 + 0.999702i \(0.492230\pi\)
\(524\) 20.0750 + 34.7709i 0.876979 + 1.51897i
\(525\) 3.68521 + 2.68900i 0.160836 + 0.117358i
\(526\) −0.359362 + 1.34116i −0.0156689 + 0.0584773i
\(527\) −6.14061 + 3.54528i −0.267489 + 0.154435i
\(528\) −36.6115 −1.59331
\(529\) 19.8222 11.4444i 0.861835 0.497581i
\(530\) 5.62237 + 2.68880i 0.244220 + 0.116794i
\(531\) −1.62338 6.05854i −0.0704487 0.262918i
\(532\) −2.63243 2.63243i −0.114130 0.114130i
\(533\) 13.3873 10.1311i 0.579870 0.438826i
\(534\) 3.24607i 0.140471i
\(535\) −3.90990 + 8.17573i −0.169040 + 0.353468i
\(536\) −3.43815 + 5.95505i −0.148505 + 0.257219i
\(537\) −3.97399 + 14.8311i −0.171490 + 0.640011i
\(538\) 2.37709i 0.102484i
\(539\) 28.8594 + 7.73286i 1.24306 + 0.333078i
\(540\) 2.39168 + 3.48756i 0.102922 + 0.150081i
\(541\) 11.1986 11.1986i 0.481464 0.481464i −0.424135 0.905599i \(-0.639422\pi\)
0.905599 + 0.424135i \(0.139422\pi\)
\(542\) −6.11306 1.63799i −0.262578 0.0703576i
\(543\) −7.32985 27.3554i −0.314554 1.17393i
\(544\) −5.96966 + 1.59957i −0.255947 + 0.0685808i
\(545\) 15.8553 1.23152i 0.679166 0.0527523i
\(546\) 0.545536 + 0.720878i 0.0233468 + 0.0308507i
\(547\) −23.6205 + 23.6205i −1.00994 + 1.00994i −0.00999077 + 0.999950i \(0.503180\pi\)
−0.999950 + 0.00999077i \(0.996820\pi\)
\(548\) 0.406578 + 0.234738i 0.0173681 + 0.0100275i
\(549\) −23.8267 13.7564i −1.01690 0.587108i
\(550\) −0.638563 + 5.95820i −0.0272284 + 0.254059i
\(551\) −28.9232 28.9232i −1.23217 1.23217i
\(552\) 0.425106 + 0.736305i 0.0180937 + 0.0313392i
\(553\) −0.646616 1.11997i −0.0274969 0.0476260i
\(554\) −4.20528 4.20528i −0.178665 0.178665i
\(555\) −14.4193 21.0262i −0.612064 0.892514i
\(556\) −19.4732 11.2429i −0.825847 0.476803i
\(557\) 26.9736 + 15.5732i 1.14291 + 0.659859i 0.947149 0.320793i \(-0.103950\pi\)
0.195759 + 0.980652i \(0.437283\pi\)
\(558\) 1.80510 1.80510i 0.0764159 0.0764159i
\(559\) −24.3944 + 3.04592i −1.03177 + 0.128829i
\(560\) 1.99433 2.33023i 0.0842759 0.0984702i
\(561\) 19.6349 5.26115i 0.828986 0.222126i
\(562\) 0.822517 + 3.06967i 0.0346958 + 0.129486i
\(563\) −20.1348 5.39509i −0.848579 0.227376i −0.191776 0.981439i \(-0.561425\pi\)
−0.656802 + 0.754063i \(0.728091\pi\)
\(564\) 31.6204 31.6204i 1.33146 1.33146i
\(565\) −7.32905 + 5.02608i −0.308335 + 0.211449i
\(566\) 1.19433 + 0.320019i 0.0502013 + 0.0134514i
\(567\) 3.88985i 0.163359i
\(568\) 1.21527 4.53546i 0.0509918 0.190304i
\(569\) −20.8728 + 36.1527i −0.875031 + 1.51560i −0.0183019 + 0.999833i \(0.505826\pi\)
−0.856729 + 0.515766i \(0.827507\pi\)
\(570\) 6.86043 2.42151i 0.287352 0.101426i
\(571\) 19.2151i 0.804127i −0.915612 0.402064i \(-0.868293\pi\)
0.915612 0.402064i \(-0.131707\pi\)
\(572\) 11.7668 27.8793i 0.491996 1.16569i
\(573\) −8.67709 8.67709i −0.362491 0.362491i
\(574\) −0.127872 0.477224i −0.00533727 0.0199190i
\(575\) −1.52522 + 0.675333i −0.0636059 + 0.0281633i
\(576\) −13.9739 + 8.06785i −0.582247 + 0.336160i
\(577\) −21.8168 −0.908243 −0.454122 0.890940i \(-0.650047\pi\)
−0.454122 + 0.890940i \(0.650047\pi\)
\(578\) −3.11991 + 1.80128i −0.129771 + 0.0749233i
\(579\) 4.08196 15.2341i 0.169640 0.633107i
\(580\) 22.8439 26.6914i 0.948542 1.10830i
\(581\) −1.00162 1.73485i −0.0415541 0.0719738i
\(582\) −9.25095 + 2.47879i −0.383464 + 0.102749i
\(583\) −22.1153 + 38.3048i −0.915922 + 1.58642i
\(584\) −6.56356 −0.271602
\(585\) 20.4115 4.17450i 0.843912 0.172594i
\(586\) −3.60150 −0.148777
\(587\) 2.92765 5.07084i 0.120837 0.209296i −0.799261 0.600984i \(-0.794775\pi\)
0.920098 + 0.391688i \(0.128109\pi\)
\(588\) 30.0943 8.06375i 1.24107 0.332543i
\(589\) −9.00520 15.5975i −0.371053 0.642682i
\(590\) 0.115500 + 1.48702i 0.00475507 + 0.0612197i
\(591\) 11.9858 44.7316i 0.493030 1.84001i
\(592\) −14.8448 + 8.57065i −0.610118 + 0.352252i
\(593\) 45.6277 1.87370 0.936852 0.349727i \(-0.113726\pi\)
0.936852 + 0.349727i \(0.113726\pi\)
\(594\) 1.01995 0.588870i 0.0418492 0.0241616i
\(595\) −0.734709 + 1.53630i −0.0301201 + 0.0629823i
\(596\) 1.26141 + 4.70766i 0.0516695 + 0.192833i
\(597\) −24.5730 24.5730i −1.00571 1.00571i
\(598\) −0.328004 + 0.0409550i −0.0134131 + 0.00167477i
\(599\) 12.7240i 0.519888i 0.965624 + 0.259944i \(0.0837041\pi\)
−0.965624 + 0.259944i \(0.916296\pi\)
\(600\) 5.15908 + 11.6516i 0.210619 + 0.475674i
\(601\) 12.3636 21.4144i 0.504321 0.873510i −0.495666 0.868513i \(-0.665076\pi\)
0.999988 0.00499702i \(-0.00159061\pi\)
\(602\) −0.187244 + 0.698805i −0.00763151 + 0.0284812i
\(603\) 16.4763i 0.670965i
\(604\) 6.79561 + 1.82088i 0.276510 + 0.0740905i
\(605\) −17.6276 3.28574i −0.716664 0.133584i
\(606\) 2.42430 2.42430i 0.0984804 0.0984804i
\(607\) −4.25169 1.13924i −0.172571 0.0462402i 0.171499 0.985184i \(-0.445139\pi\)
−0.344070 + 0.938944i \(0.611806\pi\)
\(608\) −4.06298 15.1632i −0.164775 0.614950i
\(609\) −7.19505 + 1.92791i −0.291558 + 0.0781228i
\(610\) 4.97048 + 4.25400i 0.201249 + 0.172239i
\(611\) 13.3484 + 32.8449i 0.540019 + 1.32876i
\(612\) 6.93628 6.93628i 0.280382 0.280382i
\(613\) −1.00509 0.580288i −0.0405951 0.0234376i 0.479565 0.877506i \(-0.340794\pi\)
−0.520160 + 0.854069i \(0.674128\pi\)
\(614\) 1.84550 + 1.06550i 0.0744781 + 0.0430000i
\(615\) −24.1875 4.50850i −0.975335 0.181800i
\(616\) −1.28409 1.28409i −0.0517375 0.0517375i
\(617\) 19.2380 + 33.3212i 0.774493 + 1.34146i 0.935079 + 0.354439i \(0.115328\pi\)
−0.160587 + 0.987022i \(0.551339\pi\)
\(618\) −0.555628 0.962375i −0.0223506 0.0387124i
\(619\) −24.7229 24.7229i −0.993698 0.993698i 0.00628240 0.999980i \(-0.498000\pi\)
−0.999980 + 0.00628240i \(0.998000\pi\)
\(620\) 12.7575 8.74880i 0.512355 0.351360i
\(621\) 0.283917 + 0.163920i 0.0113932 + 0.00657787i
\(622\) −2.76142 1.59431i −0.110723 0.0639258i
\(623\) 1.36470 1.36470i 0.0546757 0.0546757i
\(624\) −3.75027 30.0355i −0.150131 1.20238i
\(625\) −23.8078 + 7.62804i −0.952313 + 0.305122i
\(626\) 3.81269 1.02161i 0.152386 0.0408317i
\(627\) 13.3636 + 49.8736i 0.533690 + 1.99176i
\(628\) −5.83002 1.56215i −0.232643 0.0623365i
\(629\) 6.72971 6.72971i 0.268331 0.268331i
\(630\) 0.112346 0.602725i 0.00447599 0.0240131i
\(631\) −7.05694 1.89090i −0.280933 0.0752756i 0.115601 0.993296i \(-0.463120\pi\)
−0.396534 + 0.918020i \(0.629787\pi\)
\(632\) 3.61231i 0.143690i
\(633\) −13.0972 + 48.8794i −0.520567 + 1.94278i
\(634\) −2.99110 + 5.18074i −0.118792 + 0.205753i
\(635\) −23.0047 11.0016i −0.912912 0.436584i
\(636\) 46.1232i 1.82891i
\(637\) −3.38773 + 24.4679i −0.134227 + 0.969455i
\(638\) −6.91860 6.91860i −0.273910 0.273910i
\(639\) 2.91191 + 10.8674i 0.115193 + 0.429907i
\(640\) 16.8315 5.94098i 0.665325 0.234838i
\(641\) −7.19858 + 4.15610i −0.284327 + 0.164156i −0.635381 0.772199i \(-0.719157\pi\)
0.351054 + 0.936355i \(0.385823\pi\)
\(642\) 2.63193 0.103874
\(643\) 9.66101 5.57779i 0.380993 0.219967i −0.297257 0.954797i \(-0.596072\pi\)
0.678250 + 0.734831i \(0.262739\pi\)
\(644\) 0.0641579 0.239440i 0.00252817 0.00943528i
\(645\) 27.3720 + 23.4264i 1.07777 + 0.922414i
\(646\) 1.35789 + 2.35194i 0.0534257 + 0.0925360i
\(647\) 40.6647 10.8961i 1.59870 0.428369i 0.654047 0.756454i \(-0.273070\pi\)
0.944648 + 0.328085i \(0.106403\pi\)
\(648\) 5.43265 9.40963i 0.213415 0.369645i
\(649\) −10.5853 −0.415509
\(650\) −4.95343 + 0.0864561i −0.194289 + 0.00339109i
\(651\) −3.27983 −0.128547
\(652\) 14.2535 24.6878i 0.558211 0.966849i
\(653\) 41.2678 11.0577i 1.61494 0.432721i 0.665427 0.746463i \(-0.268250\pi\)
0.949508 + 0.313742i \(0.101583\pi\)
\(654\) −2.30926 3.99976i −0.0902994 0.156403i
\(655\) 35.4423 + 30.3334i 1.38485 + 1.18522i
\(656\) −4.28140 + 15.9784i −0.167160 + 0.623851i
\(657\) 13.6199 7.86345i 0.531363 0.306782i
\(658\) 1.04334 0.0406735
\(659\) −15.2491 + 8.80408i −0.594021 + 0.342958i −0.766686 0.642023i \(-0.778096\pi\)
0.172665 + 0.984981i \(0.444762\pi\)
\(660\) −41.8191 + 14.7608i −1.62781 + 0.574563i
\(661\) 7.21232 + 26.9167i 0.280527 + 1.04694i 0.952047 + 0.305953i \(0.0989751\pi\)
−0.671520 + 0.740987i \(0.734358\pi\)
\(662\) −3.81246 3.81246i −0.148175 0.148175i
\(663\) 6.32746 + 15.5692i 0.245738 + 0.604659i
\(664\) 5.59552i 0.217148i
\(665\) −3.90228 1.86620i −0.151324 0.0723680i
\(666\) −1.71323 + 2.96740i −0.0663863 + 0.114985i
\(667\) 0.704922 2.63080i 0.0272947 0.101865i
\(668\) 6.67434i 0.258238i
\(669\) −62.3951 16.7187i −2.41234 0.646383i
\(670\) −0.717929 + 3.85160i −0.0277360 + 0.148800i
\(671\) −32.8320 + 32.8320i −1.26747 + 1.26747i
\(672\) −2.76134 0.739899i −0.106521 0.0285422i
\(673\) 1.89027 + 7.05459i 0.0728646 + 0.271934i 0.992741 0.120275i \(-0.0383776\pi\)
−0.919876 + 0.392209i \(0.871711\pi\)
\(674\) −3.51350 + 0.941440i −0.135335 + 0.0362629i
\(675\) 3.96922 + 2.89624i 0.152775 + 0.111476i
\(676\) 24.0771 + 6.79753i 0.926042 + 0.261444i
\(677\) 3.26988 3.26988i 0.125672 0.125672i −0.641473 0.767145i \(-0.721677\pi\)
0.767145 + 0.641473i \(0.221677\pi\)
\(678\) 2.23513 + 1.29045i 0.0858397 + 0.0495595i
\(679\) 4.93138 + 2.84713i 0.189249 + 0.109263i
\(680\) −3.92291 + 2.69023i −0.150437 + 0.103166i
\(681\) 11.5753 + 11.5753i 0.443566 + 0.443566i
\(682\) −2.15409 3.73100i −0.0824845 0.142867i
\(683\) 13.5476 + 23.4651i 0.518384 + 0.897868i 0.999772 + 0.0213600i \(0.00679961\pi\)
−0.481388 + 0.876508i \(0.659867\pi\)
\(684\) 17.6185 + 17.6185i 0.673660 + 0.673660i
\(685\) 0.536251 + 0.0999559i 0.0204891 + 0.00381912i
\(686\) 1.27275 + 0.734823i 0.0485939 + 0.0280557i
\(687\) 13.2213 + 7.63332i 0.504424 + 0.291229i
\(688\) 17.1280 17.1280i 0.653000 0.653000i
\(689\) −33.6901 14.2193i −1.28349 0.541714i
\(690\) 0.368040 + 0.314988i 0.0140111 + 0.0119914i
\(691\) −12.1374 + 3.25221i −0.461729 + 0.123720i −0.482182 0.876071i \(-0.660156\pi\)
0.0204532 + 0.999791i \(0.493489\pi\)
\(692\) −1.94746 7.26800i −0.0740311 0.276288i
\(693\) 4.20299 + 1.12619i 0.159658 + 0.0427804i
\(694\) −5.37339 + 5.37339i −0.203971 + 0.203971i
\(695\) −25.6839 4.78743i −0.974247 0.181597i
\(696\) −20.0975 5.38511i −0.761795 0.204122i
\(697\) 9.18452i 0.347889i
\(698\) −2.09942 + 7.83515i −0.0794643 + 0.296565i
\(699\) 9.17475 15.8911i 0.347021 0.601058i
\(700\) 1.33852 3.46575i 0.0505913 0.130993i
\(701\) 39.3955i 1.48795i −0.668208 0.743974i \(-0.732938\pi\)
0.668208 0.743974i \(-0.267062\pi\)
\(702\) 0.587578 + 0.776434i 0.0221767 + 0.0293046i
\(703\) 17.0938 + 17.0938i 0.644705 + 0.644705i
\(704\) 7.04795 + 26.3033i 0.265630 + 0.991343i
\(705\) 22.4165 46.8737i 0.844255 1.76537i
\(706\) 3.72112 2.14839i 0.140046 0.0808557i
\(707\) −2.03843 −0.0766631
\(708\) −9.55939 + 5.51911i −0.359264 + 0.207421i
\(709\) 6.62303 24.7175i 0.248733 0.928285i −0.722737 0.691123i \(-0.757116\pi\)
0.971470 0.237162i \(-0.0762171\pi\)
\(710\) −0.207176 2.66732i −0.00777519 0.100103i
\(711\) 4.32771 + 7.49582i 0.162302 + 0.281115i
\(712\) 5.20722 1.39527i 0.195149 0.0522900i
\(713\) 0.599619 1.03857i 0.0224559 0.0388948i
\(714\) 0.494566 0.0185087
\(715\) 2.11061 35.0968i 0.0789324 1.31255i
\(716\) 12.5045 0.467315
\(717\) 13.9349 24.1359i 0.520407 0.901371i
\(718\) 5.27777 1.41417i 0.196965 0.0527765i
\(719\) −4.34268 7.52174i −0.161955 0.280514i 0.773615 0.633656i \(-0.218446\pi\)
−0.935570 + 0.353142i \(0.885113\pi\)
\(720\) −13.3478 + 15.5959i −0.497443 + 0.581226i
\(721\) −0.171004 + 0.638194i −0.00636851 + 0.0237676i
\(722\) −1.45222 + 0.838438i −0.0540460 + 0.0312034i
\(723\) 3.44830 0.128244
\(724\) −19.9740 + 11.5320i −0.742327 + 0.428583i
\(725\) 14.7067 38.0792i 0.546194 1.41423i
\(726\) 1.34781 + 5.03011i 0.0500220 + 0.186685i
\(727\) 17.4677 + 17.4677i 0.647841 + 0.647841i 0.952471 0.304630i \(-0.0985327\pi\)
−0.304630 + 0.952471i \(0.598533\pi\)
\(728\) 0.921915 1.18498i 0.0341684 0.0439184i
\(729\) 19.0676i 0.706209i
\(730\) −3.52652 + 1.24475i −0.130522 + 0.0460701i
\(731\) −6.72450 + 11.6472i −0.248715 + 0.430786i
\(732\) −12.5316 + 46.7685i −0.463180 + 1.72861i
\(733\) 34.2413i 1.26473i −0.774670 0.632365i \(-0.782084\pi\)
0.774670 0.632365i \(-0.217916\pi\)
\(734\) 5.84646 + 1.56655i 0.215797 + 0.0578225i
\(735\) 29.8546 20.4735i 1.10120 0.755178i
\(736\) 0.739121 0.739121i 0.0272444 0.0272444i
\(737\) −26.8584 7.19670i −0.989344 0.265094i
\(738\) 0.855830 + 3.19400i 0.0315035 + 0.117573i
\(739\) 27.2869 7.31150i 1.00376 0.268958i 0.280743 0.959783i \(-0.409419\pi\)
0.723022 + 0.690825i \(0.242753\pi\)
\(740\) −13.5009 + 15.7748i −0.496302 + 0.579893i
\(741\) −39.5467 + 16.0720i −1.45278 + 0.590421i
\(742\) −0.760935 + 0.760935i −0.0279348 + 0.0279348i
\(743\) −27.4329 15.8384i −1.00642 0.581055i −0.0962765 0.995355i \(-0.530693\pi\)
−0.910141 + 0.414299i \(0.864027\pi\)
\(744\) −7.93397 4.58068i −0.290873 0.167936i
\(745\) 3.20268 + 4.67016i 0.117337 + 0.171101i
\(746\) −0.226489 0.226489i −0.00829237 0.00829237i
\(747\) 6.70370 + 11.6111i 0.245275 + 0.424830i
\(748\) −8.27733 14.3367i −0.302649 0.524203i
\(749\) −1.10651 1.10651i −0.0404309 0.0404309i
\(750\) 4.98157 + 5.28186i 0.181901 + 0.192866i
\(751\) 2.11351 + 1.22024i 0.0771231 + 0.0445271i 0.538066 0.842903i \(-0.319155\pi\)
−0.460943 + 0.887430i \(0.652489\pi\)
\(752\) −30.2528 17.4665i −1.10321 0.636936i
\(753\) 21.7387 21.7387i 0.792201 0.792201i
\(754\) 4.96721 6.38462i 0.180895 0.232514i
\(755\) 8.14986 0.633018i 0.296604 0.0230379i
\(756\) −0.705319 + 0.188990i −0.0256522 + 0.00687349i
\(757\) 11.0493 + 41.2367i 0.401595 + 1.49877i 0.810250 + 0.586084i \(0.199331\pi\)
−0.408655 + 0.912689i \(0.634002\pi\)
\(758\) 7.00115 + 1.87595i 0.254293 + 0.0681377i
\(759\) −2.43105 + 2.43105i −0.0882416 + 0.0882416i
\(760\) −6.83333 9.96438i −0.247871 0.361446i
\(761\) −38.5996 10.3427i −1.39923 0.374923i −0.521164 0.853457i \(-0.674502\pi\)
−0.878069 + 0.478533i \(0.841169\pi\)
\(762\) 7.40565i 0.268279i
\(763\) −0.710715 + 2.65242i −0.0257296 + 0.0960242i
\(764\) −4.99683 + 8.65476i −0.180779 + 0.313118i
\(765\) 4.91731 10.2823i 0.177786 0.371756i
\(766\) 9.01376i 0.325680i
\(767\) −1.08429 8.68401i −0.0391516 0.313561i
\(768\) 17.2018 + 17.2018i 0.620716 + 0.620716i
\(769\) 9.91969 + 37.0208i 0.357713 + 1.33500i 0.877035 + 0.480426i \(0.159518\pi\)
−0.519322 + 0.854579i \(0.673816\pi\)
\(770\) −0.933448 0.446405i −0.0336391 0.0160873i
\(771\) 60.2925 34.8099i 2.17138 1.25365i