Properties

Label 65.2.o.a.2.4
Level $65$
Weight $2$
Character 65.2
Analytic conductor $0.519$
Analytic rank $0$
Dimension $20$
CM no
Inner twists $2$

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

$q$-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})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 20 q - 4 q^{2} - 2 q^{3} - 6 q^{4} - 6 q^{5} - 8 q^{6} - 6 q^{7} + 12 q^{8} - 12 q^{9} + O(q^{10}) \) \( 20 q - 4 q^{2} - 2 q^{3} - 6 q^{4} - 6 q^{5} - 8 q^{6} - 6 q^{7} + 12 q^{8} - 12 q^{9} - 10 q^{10} - 16 q^{11} + 24 q^{12} + 2 q^{13} + 12 q^{15} - 2 q^{16} - 10 q^{17} + 20 q^{19} + 14 q^{20} + 4 q^{21} + 16 q^{22} - 2 q^{23} - 32 q^{24} - 18 q^{25} - 24 q^{26} + 4 q^{27} + 6 q^{28} + 14 q^{30} - 6 q^{32} - 18 q^{33} - 2 q^{34} - 20 q^{35} + 36 q^{36} + 42 q^{37} + 8 q^{38} - 4 q^{39} - 16 q^{40} + 10 q^{41} - 56 q^{42} - 22 q^{43} + 36 q^{44} + 52 q^{45} + 4 q^{46} + 28 q^{48} - 18 q^{49} + 44 q^{50} + 46 q^{52} - 10 q^{53} + 48 q^{54} + 26 q^{55} - 12 q^{57} - 90 q^{58} + 16 q^{59} - 92 q^{60} - 16 q^{61} - 40 q^{62} - 32 q^{63} - 20 q^{64} + 8 q^{65} - 32 q^{66} - 58 q^{67} + 28 q^{68} + 16 q^{69} + 32 q^{70} - 16 q^{71} - 66 q^{72} + 72 q^{73} - 18 q^{74} - 34 q^{75} - 64 q^{76} + 28 q^{77} + 32 q^{78} - 34 q^{80} - 14 q^{81} + 22 q^{82} + 40 q^{84} - 6 q^{85} + 60 q^{86} + 62 q^{87} + 50 q^{88} + 6 q^{89} - 46 q^{90} + 8 q^{91} - 8 q^{92} + 48 q^{93} + 48 q^{94} + 14 q^{95} + 56 q^{96} - 22 q^{97} + 4 q^{98} - 60 q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(27\) \(41\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{1}{12}\right)\)

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 0.813348 0.581777i \(-0.197642\pi\)
−0.910508 + 0.413492i \(0.864309\pi\)
\(3\) −2.28256 0.611610i −1.31784 0.353113i −0.469669 0.882842i \(-0.655627\pi\)
−0.848167 + 0.529729i \(0.822293\pi\)
\(4\) 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 0.435476 0.900200i \(-0.356580\pi\)
−0.561858 + 0.827234i \(0.689913\pi\)
\(8\) −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 0.557653 + 0.830074i \(0.311702\pi\)
−0.897979 + 0.440039i \(0.854965\pi\)
\(12\) −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 0.999795 0.0202583i \(-0.00644886\pi\)
−0.875977 + 0.482353i \(0.839782\pi\)
\(18\) 0.710144i 0.167383i
\(19\) 4.83947 1.29673i 1.11025 0.297491i 0.343318 0.939219i \(-0.388449\pi\)
0.766932 + 0.641728i \(0.221782\pi\)
\(20\) −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 −0.956339 0.292258i \(-0.905593\pi\)
0.974343 + 0.225067i \(0.0722600\pi\)
\(24\) 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 −0.982579 0.185843i \(-0.940498\pi\)
−0.330345 + 0.943860i \(0.607165\pi\)
\(30\) 1.19755 + 0.821248i 0.218641 + 0.149939i
\(31\) −2.54187 + 2.54187i −0.456534 + 0.456534i −0.897516 0.440982i \(-0.854630\pi\)
0.440982 + 0.897516i \(0.354630\pi\)
\(32\) −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 −0.115514 0.993306i \(-0.536852\pi\)
0.802471 + 0.596691i \(0.203518\pi\)
\(38\) −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 0.592314 0.805707i \(-0.298214\pi\)
0.110105 + 0.993920i \(0.464881\pi\)
\(42\) 0.0648946 0.242190i 0.0100135 0.0373707i
\(43\) −6.58600 + 1.76471i −1.00436 + 0.269116i −0.723269 0.690566i \(-0.757362\pi\)
−0.281087 + 0.959682i \(0.590695\pi\)
\(44\) 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 \(-0.745445\pi\)
0.696917 0.717152i \(-0.254555\pi\)
\(48\) 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 −0.999890 0.0148021i \(-0.995288\pi\)
0.0148021 + 0.999890i \(0.495288\pi\)
\(54\) 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 0.994686 0.102954i \(-0.0328294\pi\)
−0.912900 + 0.408183i \(0.866163\pi\)
\(60\) −0.787474 + 10.1384i −0.101662 + 1.30887i
\(61\) −5.32338 + 9.22037i −0.681589 + 1.18055i 0.292906 + 0.956141i \(0.405378\pi\)
−0.974496 + 0.224406i \(0.927956\pi\)
\(62\) 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 0.992378 0.123228i \(-0.0393246\pi\)
−0.602908 + 0.797811i \(0.705991\pi\)
\(68\) 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 0.866269 0.499578i \(-0.166512\pi\)
−1.00000 0.000486883i \(0.999845\pi\)
\(72\) −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 \(-0.939663\pi\)
0.982088 0.188421i \(-0.0603369\pi\)
\(80\) −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 \(-0.908090\pi\)
0.958603 0.284747i \(-0.0919096\pi\)
\(84\) 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 −0.00632782 0.999980i \(-0.502014\pi\)
−0.505470 + 0.862844i \(0.668681\pi\)
\(90\) −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 0.199719 + 0.979853i \(0.435997\pi\)
−0.948437 + 0.316965i \(0.897336\pi\)
\(98\) −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 −0.254969 0.966949i \(-0.582065\pi\)
0.709918 + 0.704284i \(0.248732\pi\)
\(102\) −1.10930 + 0.640458i −0.109838 + 0.0634147i
\(103\) 1.21001 + 1.21001i 0.119226 + 0.119226i 0.764203 0.644976i \(-0.223133\pi\)
−0.644976 + 0.764203i \(0.723133\pi\)
\(104\) −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 −0.896505 0.443033i \(-0.853902\pi\)
0.997913 + 0.0645749i \(0.0205692\pi\)
\(108\) 1.82676 0.489479i 0.175780 0.0471002i
\(109\) 5.02898 + 5.02898i 0.481689 + 0.481689i 0.905671 0.423982i \(-0.139368\pi\)
−0.423982 + 0.905671i \(0.639368\pi\)
\(110\) 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 0.900516 0.434824i \(-0.143189\pi\)
−0.997281 + 0.0736896i \(0.976523\pi\)
\(114\) 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 −0.265483 0.964116i \(-0.585531\pi\)
−0.711972 + 0.702207i \(0.752198\pi\)
\(128\) 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 0.508998 0.860768i \(-0.330016\pi\)
−0.490948 + 0.871189i \(0.663349\pi\)
\(138\) 0.216643 0.0184419
\(139\) −10.1187 5.84202i −0.858255 0.495514i 0.00517263 0.999987i \(-0.498353\pi\)
−0.863428 + 0.504473i \(0.831687\pi\)
\(140\) −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 −0.157223 0.987563i \(-0.550254\pi\)
0.357623 + 0.933866i \(0.383587\pi\)
\(150\) 3.22848 0.346009i 0.263605 0.0282515i
\(151\) 2.58498 + 2.58498i 0.210362 + 0.210362i 0.804421 0.594059i \(-0.202475\pi\)
−0.594059 + 0.804421i \(0.702475\pi\)
\(152\) −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 0.613053 0.790042i \(-0.289941\pi\)
−0.790042 + 0.613053i \(0.789941\pi\)
\(158\) −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 0.415349 + 0.909662i \(0.363659\pi\)
−0.995465 + 0.0951279i \(0.969674\pi\)
\(164\) 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 −0.379270 0.925286i \(-0.623825\pi\)
0.611686 + 0.791100i \(0.290491\pi\)
\(168\) −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 −0.399509 0.916729i \(-0.630819\pi\)
0.112379 + 0.993665i \(0.464153\pi\)
\(174\) −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 0.961518 0.274741i \(-0.0885921\pi\)
−0.718692 + 0.695329i \(0.755259\pi\)
\(180\) 3.70129 10.4862i 0.275878 0.781595i
\(181\) 11.9845i 0.890802i −0.895331 0.445401i \(-0.853061\pi\)
0.895331 0.445401i \(-0.146939\pi\)
\(182\) −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 −0.756668 0.653799i \(-0.773174\pi\)
0.944541 + 0.328394i \(0.106507\pi\)
\(192\) 14.2526 + 3.81897i 1.02859 + 0.275610i
\(193\) −3.33706 5.77996i −0.240207 0.416051i 0.720566 0.693386i \(-0.243882\pi\)
−0.960773 + 0.277335i \(0.910549\pi\)
\(194\) 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 −0.969118 0.246598i \(-0.920687\pi\)
0.270999 0.962580i \(-0.412646\pi\)
\(198\) 2.99147 + 0.801563i 0.212595 + 0.0569646i
\(199\) 7.35302 12.7358i 0.521242 0.902817i −0.478453 0.878113i \(-0.658802\pi\)
0.999695 0.0247042i \(-0.00786439\pi\)
\(200\) −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 0.953791 + 0.300471i \(0.0971440\pi\)
−0.216679 + 0.976243i \(0.569523\pi\)
\(212\) 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 0.591214 0.806515i \(-0.298649\pi\)
0.994069 0.108749i \(-0.0346846\pi\)
\(224\) 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 −0.957776 0.287515i \(-0.907171\pi\)
0.727883 + 0.685701i \(0.240504\pi\)
\(228\) −11.3924 + 19.7322i −0.754481 + 1.30680i
\(229\) −4.56825 + 4.56825i −0.301879 + 0.301879i −0.841749 0.539870i \(-0.818473\pi\)
0.539870 + 0.841749i \(0.318473\pi\)
\(230\) −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 0.503996 0.863706i \(-0.331863\pi\)
−0.863706 + 0.503996i \(0.831863\pi\)
\(234\) 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 0.383927 0.923363i \(-0.374571\pi\)
−0.923363 + 0.383927i \(0.874571\pi\)
\(240\) 15.4813 + 10.6167i 0.999311 + 0.685303i
\(241\) −1.40952 + 0.377680i −0.0907952 + 0.0243285i −0.303931 0.952694i \(-0.598299\pi\)
0.213135 + 0.977023i \(0.431632\pi\)
\(242\) 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 0.100335 0.994954i \(-0.468009\pi\)
−0.811488 + 0.584369i \(0.801342\pi\)
\(252\) −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 −0.785452 0.618922i \(-0.787570\pi\)
−0.989683 + 0.143276i \(0.954236\pi\)
\(258\) −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 0.406127 0.913817i \(-0.366879\pi\)
−0.105192 + 0.994452i \(0.533546\pi\)
\(264\) −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 0.253932 0.967222i \(-0.418276\pi\)
−0.710673 + 0.703523i \(0.751609\pi\)
\(270\) −0.260528 0.544773i −0.0158552 0.0331539i
\(271\) 5.96047 22.2448i 0.362073 1.35127i −0.509273 0.860605i \(-0.670086\pi\)
0.871346 0.490669i \(-0.163248\pi\)
\(272\) 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 −0.902190 0.431338i \(-0.858042\pi\)
0.565650 0.824645i \(-0.308625\pi\)
\(278\) 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 0.907614 0.419805i \(-0.137902\pi\)
−0.419805 + 0.907614i \(0.637902\pi\)
\(282\) 6.16797 1.65270i 0.367298 0.0984171i
\(283\) −1.16452 + 4.34603i −0.0692233 + 0.258345i −0.991861 0.127322i \(-0.959362\pi\)
0.922638 + 0.385667i \(0.126029\pi\)
\(284\) −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 −0.608648 0.793440i \(-0.708288\pi\)
0.991463 + 0.130385i \(0.0416212\pi\)
\(294\) 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 \(0.0710252\pi\)
−0.975209 + 0.221285i \(0.928975\pi\)
\(308\) −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 \(-0.893297\pi\)
0.944339 0.328974i \(-0.106703\pi\)
\(312\) 7.32724 + 5.54500i 0.414823 + 0.313924i
\(313\) −10.1565 + 10.1565i −0.574078 + 0.574078i −0.933265 0.359188i \(-0.883054\pi\)
0.359188 + 0.933265i \(0.383054\pi\)
\(314\) −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 −0.953038 0.302850i \(-0.902062\pi\)
0.673931 0.738795i \(-0.264605\pi\)
\(332\) −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 −0.404636 0.914478i \(-0.632602\pi\)
0.914478 + 0.404636i \(0.132602\pi\)
\(338\) 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 0.543493 0.839414i \(-0.317101\pi\)
0.890386 + 0.455207i \(0.150435\pi\)
\(348\) 9.60939 35.8627i 0.515118 1.92244i
\(349\) 28.5113 + 7.63958i 1.52618 + 0.408938i 0.921769 0.387739i \(-0.126744\pi\)
0.604406 + 0.796676i \(0.293410\pi\)
\(350\) 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 −0.815011 0.579445i \(-0.803269\pi\)
0.0943088 + 0.995543i \(0.469936\pi\)
\(354\) −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 −0.972966 0.230949i \(-0.925817\pi\)
0.230949 + 0.972966i \(0.425817\pi\)
\(360\) −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 0.641594 + 0.767045i \(0.278273\pi\)
−0.939159 + 0.343483i \(0.888393\pi\)
\(368\) −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 0.957676 0.287848i \(-0.0929398\pi\)
−0.973296 + 0.229554i \(0.926273\pi\)
\(374\) 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 0.535224 + 0.844710i \(0.320227\pi\)
−0.885873 + 0.463928i \(0.846440\pi\)
\(380\) −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 0.998565 0.0535563i \(-0.0170557\pi\)
0.452901 + 0.891561i \(0.350389\pi\)
\(384\) −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 0.731373 0.681978i \(-0.238880\pi\)
−0.224924 + 0.974376i \(0.572213\pi\)
\(398\) −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 0.694879 + 0.719126i \(0.255458\pi\)
−0.961346 + 0.275342i \(0.911209\pi\)
\(402\) −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 −0.366015 0.930609i \(-0.619278\pi\)
0.148326 + 0.988939i \(0.452612\pi\)
\(410\) −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 −0.513730 0.857952i \(-0.671737\pi\)
0.486143 + 0.873879i \(0.338403\pi\)
\(420\) 2.22055 3.23802i 0.108352 0.157999i
\(421\) −5.58095 + 5.58095i −0.271999 + 0.271999i −0.829904 0.557906i \(-0.811605\pi\)
0.557906 + 0.829904i \(0.311605\pi\)
\(422\) 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 −0.700060 0.714084i \(-0.746843\pi\)
−0.963312 + 0.268385i \(0.913510\pi\)
\(432\) 0.903577 3.37220i 0.0434734 0.162245i
\(433\) 25.4810 6.82761i 1.22454 0.328114i 0.412087 0.911144i \(-0.364800\pi\)
0.812450 + 0.583031i \(0.198133\pi\)
\(434\) −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 0.885922 0.463834i \(-0.153527\pi\)
−0.844653 + 0.535314i \(0.820193\pi\)
\(440\) −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 −0.635702 0.771935i \(-0.719289\pi\)
0.771935 + 0.635702i \(0.219289\pi\)
\(444\) −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 0.972579 + 0.232571i \(0.0747139\pi\)
−0.725993 + 0.687702i \(0.758619\pi\)
\(450\) −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 0.985486 0.169759i \(-0.0542991\pi\)
−0.639759 + 0.768576i \(0.720966\pi\)
\(458\) 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 0.919606 0.392843i \(-0.128508\pi\)
−0.992823 + 0.119591i \(0.961842\pi\)
\(462\) 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 −0.862273 0.506444i \(-0.830960\pi\)
0.506444 + 0.862273i \(0.330960\pi\)
\(468\) 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 0.455720 0.890123i \(-0.349382\pi\)
−0.0503960 + 0.998729i \(0.516048\pi\)
\(480\) 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 0.412123 + 0.911128i \(0.364787\pi\)
−0.995122 + 0.0986549i \(0.968546\pi\)
\(488\) 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 −0.219422 0.975630i \(-0.570417\pi\)
0.735210 + 0.677840i \(0.237084\pi\)
\(492\) −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 0.223950 0.974601i \(-0.428105\pi\)
−0.974601 + 0.223950i \(0.928105\pi\)
\(500\) −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 0.995686 0.0927898i \(-0.0295785\pi\)
−0.908684 + 0.417485i \(0.862912\pi\)
\(504\) 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 −0.533030 0.846097i \(-0.678947\pi\)
0.884666 0.466226i \(-0.154387\pi\)
\(510\) −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 0.0244065 0.999702i \(-0.492230\pi\)
−0.478714 + 0.877971i \(0.658897\pi\)
\(524\) 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 0.905599 0.424135i \(-0.139422\pi\)
−0.424135 + 0.905599i \(0.639422\pi\)
\(542\) −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 −0.999950 0.00999077i \(-0.996820\pi\)
−0.00999077 0.999950i \(-0.503180\pi\)
\(548\) 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 0.195759 0.980652i \(-0.437283\pi\)
0.947149 + 0.320793i \(0.103950\pi\)
\(558\) 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 −0.656802 0.754063i \(-0.728091\pi\)
−0.191776 + 0.981439i \(0.561425\pi\)
\(564\) 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 −0.856729 0.515766i \(-0.827507\pi\)
−0.0183019 0.999833i \(-0.505826\pi\)
\(570\) 6.86043 + 2.42151i 0.287352 + 0.101426i
\(571\) 19.2151i 0.804127i 0.915612 + 0.402064i \(0.131707\pi\)
−0.915612 + 0.402064i \(0.868293\pi\)
\(572\) 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 0.920098 0.391688i \(-0.128109\pi\)
−0.799261 + 0.600984i \(0.794775\pi\)
\(588\) 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 \(-0.916296\pi\)
0.965624 0.259944i \(-0.0837041\pi\)
\(600\) 5.15908 11.6516i 0.210619 0.475674i
\(601\) 12.3636 + 21.4144i 0.504321 + 0.873510i 0.999988 + 0.00499702i \(0.00159061\pi\)
−0.495666 + 0.868513i \(0.665076\pi\)
\(602\) −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 −0.344070 0.938944i \(-0.611806\pi\)
0.171499 + 0.985184i \(0.445139\pi\)
\(608\) −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 −0.520160 0.854069i \(-0.674128\pi\)
0.479565 + 0.877506i \(0.340794\pi\)
\(614\) 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 −0.160587 0.987022i \(-0.551339\pi\)
0.935079 0.354439i \(-0.115328\pi\)
\(618\) −0.555628 + 0.962375i −0.0223506 + 0.0387124i
\(619\) −24.7229 + 24.7229i −0.993698 + 0.993698i −0.999980 0.00628240i \(-0.998000\pi\)
0.00628240 + 0.999980i \(0.498000\pi\)
\(620\) 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 −0.396534 0.918020i \(-0.629787\pi\)
0.115601 + 0.993296i \(0.463120\pi\)
\(632\) 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 0.351054 0.936355i \(-0.385823\pi\)
−0.635381 + 0.772199i \(0.719157\pi\)
\(642\) 2.63193 0.103874
\(643\) 9.66101 + 5.57779i 0.380993 + 0.219967i 0.678250 0.734831i \(-0.262739\pi\)
−0.297257 + 0.954797i \(0.596072\pi\)
\(644\) 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 0.944648 0.328085i \(-0.106403\pi\)
0.654047 + 0.756454i \(0.273070\pi\)
\(648\) 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 0.949508 0.313742i \(-0.101583\pi\)
0.665427 + 0.746463i \(0.268250\pi\)
\(654\) −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 0.172665 0.984981i \(-0.444762\pi\)
−0.766686 + 0.642023i \(0.778096\pi\)
\(660\) −41.8191 14.7608i −1.62781 0.574563i
\(661\) 7.21232 26.9167i 0.280527 1.04694i −0.671520 0.740987i \(-0.734358\pi\)
0.952047 0.305953i \(-0.0989751\pi\)
\(662\) −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 −0.919876 0.392209i \(-0.871711\pi\)
0.992741 + 0.120275i \(0.0383776\pi\)
\(674\) −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 0.767145 0.641473i \(-0.221677\pi\)
−0.641473 + 0.767145i \(0.721677\pi\)
\(678\) 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 −0.481388 0.876508i \(-0.659867\pi\)
0.999772 0.0213600i \(-0.00679961\pi\)
\(684\) 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 0.0204532 0.999791i \(-0.493489\pi\)
−0.482182 + 0.876071i \(0.660156\pi\)
\(692\) −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 \(0.267062\pi\)
−0.668208 + 0.743974i \(0.732938\pi\)
\(702\) 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 0.971470 + 0.237162i \(0.0762171\pi\)
−0.722737 + 0.691123i \(0.757116\pi\)
\(710\) −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 −0.935570 0.353142i \(-0.885113\pi\)
0.773615 + 0.633656i \(0.218446\pi\)
\(720\) −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 −0.304630 0.952471i \(-0.598533\pi\)
0.952471 + 0.304630i \(0.0985327\pi\)
\(728\) 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 \(0.217916\pi\)
−0.774670 + 0.632365i \(0.782084\pi\)
\(734\) 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 0.723022 0.690825i \(-0.242753\pi\)
0.280743 + 0.959783i \(0.409419\pi\)
\(740\) −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 −0.910141 0.414299i \(-0.864027\pi\)
−0.0962765 + 0.995355i \(0.530693\pi\)
\(744\) −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 −0.460943 0.887430i \(-0.652489\pi\)
0.538066 + 0.842903i \(0.319155\pi\)
\(752\) −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 −0.408655 0.912689i \(-0.634002\pi\)
0.810250 0.586084i \(-0.199331\pi\)
\(758\) 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 −0.878069 0.478533i \(-0.841169\pi\)
−0.521164 + 0.853457i \(0.674502\pi\)
\(762\) 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 −0.519322 0.854579i \(-0.673816\pi\)
0.877035 0.480426i \(-0.159518\pi\)
\(770\) −0.933448 + 0.446405i −0.0336391 + 0.0160873i
\(771\) 60.2925 + 34.8099i 2.171