Properties

Label 576.2.bl.a.83.41
Level $576$
Weight $2$
Character 576.83
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bl (of order \(48\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 83.41
Character \(\chi\) \(=\) 576.83
Dual form 576.2.bl.a.347.41

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.326341 - 1.37605i) q^{2} +(-1.10447 - 1.33423i) q^{3} +(-1.78700 + 0.898119i) q^{4} +(0.390464 + 0.445238i) q^{5} +(-1.47552 + 1.95521i) q^{6} +(-0.227235 + 1.72602i) q^{7} +(1.81903 + 2.16591i) q^{8} +(-0.560313 + 2.94721i) q^{9} +O(q^{10})\) \(q+(-0.326341 - 1.37605i) q^{2} +(-1.10447 - 1.33423i) q^{3} +(-1.78700 + 0.898119i) q^{4} +(0.390464 + 0.445238i) q^{5} +(-1.47552 + 1.95521i) q^{6} +(-0.227235 + 1.72602i) q^{7} +(1.81903 + 2.16591i) q^{8} +(-0.560313 + 2.94721i) q^{9} +(0.485244 - 0.682595i) q^{10} +(-2.31157 + 1.13994i) q^{11} +(3.17198 + 1.39232i) q^{12} +(6.27310 - 2.12943i) q^{13} +(2.44924 - 0.250585i) q^{14} +(0.162795 - 1.01272i) q^{15} +(2.38676 - 3.20988i) q^{16} +(3.24939 - 3.24939i) q^{17} +(4.23835 - 0.190779i) q^{18} +(0.0330210 - 0.166008i) q^{19} +(-1.09764 - 0.444960i) q^{20} +(2.55387 - 1.60314i) q^{21} +(2.32297 + 2.80882i) q^{22} +(0.930230 + 7.06580i) q^{23} +(0.880755 - 4.81916i) q^{24} +(0.606856 - 4.60953i) q^{25} +(-4.97736 - 7.93715i) q^{26} +(4.55109 - 2.50751i) q^{27} +(-1.14410 - 3.28848i) q^{28} +(-2.87033 + 0.188132i) q^{29} +(-1.44667 + 0.106478i) q^{30} +(3.97508 + 6.88504i) q^{31} +(-5.19585 - 2.23678i) q^{32} +(4.07399 + 1.82513i) q^{33} +(-5.53172 - 3.41090i) q^{34} +(-0.857216 + 0.572774i) q^{35} +(-1.64567 - 5.76990i) q^{36} +(-1.20923 + 0.240530i) q^{37} +(-0.239211 + 0.00873669i) q^{38} +(-9.76955 - 6.01784i) q^{39} +(-0.254081 + 1.65561i) q^{40} +(-6.23888 + 0.821364i) q^{41} +(-3.03943 - 2.99107i) q^{42} +(4.55188 - 2.24474i) q^{43} +(3.10698 - 4.11315i) q^{44} +(-1.53099 + 0.901306i) q^{45} +(9.41929 - 3.58590i) q^{46} +(6.05784 - 1.62319i) q^{47} +(-6.91881 + 0.360727i) q^{48} +(3.83398 + 1.02731i) q^{49} +(-6.54096 + 0.669215i) q^{50} +(-7.92426 - 0.746579i) q^{51} +(-9.29756 + 9.43929i) q^{52} +(4.13952 - 6.19522i) q^{53} +(-4.93565 - 5.44420i) q^{54} +(-1.41013 - 0.584095i) q^{55} +(-4.15174 + 2.64750i) q^{56} +(-0.257963 + 0.139293i) q^{57} +(1.19558 + 3.88832i) q^{58} +(3.55145 - 3.11454i) q^{59} +(0.618626 + 1.95594i) q^{60} +(15.3369 - 1.00524i) q^{61} +(8.17690 - 7.71676i) q^{62} +(-4.95962 - 1.63682i) q^{63} +(-1.38229 + 7.87967i) q^{64} +(3.39752 + 1.96156i) q^{65} +(1.18196 - 6.20161i) q^{66} +(2.13764 + 1.05417i) q^{67} +(-2.88833 + 8.72502i) q^{68} +(8.39996 - 9.04507i) q^{69} +(1.06791 + 0.992649i) q^{70} +(-3.86052 - 9.32012i) q^{71} +(-7.40260 + 4.14747i) q^{72} +(-4.40458 + 10.6336i) q^{73} +(0.725601 + 1.58546i) q^{74} +(-6.82040 + 4.28138i) q^{75} +(0.0900863 + 0.326314i) q^{76} +(-1.44229 - 4.24885i) q^{77} +(-5.09262 + 15.4072i) q^{78} +(-6.46663 + 1.73273i) q^{79} +(2.36111 - 0.190664i) q^{80} +(-8.37210 - 3.30272i) q^{81} +(3.16624 + 8.31694i) q^{82} +(-1.67673 + 1.91195i) q^{83} +(-3.12396 + 5.15850i) q^{84} +(2.71552 + 0.177985i) q^{85} +(-4.57433 - 5.53105i) q^{86} +(3.42119 + 3.62189i) q^{87} +(-6.67381 - 2.93306i) q^{88} +(2.37984 + 5.74543i) q^{89} +(1.73986 + 1.81258i) q^{90} +(2.24997 + 11.3114i) q^{91} +(-8.00826 - 11.7912i) q^{92} +(4.79586 - 12.9079i) q^{93} +(-4.21051 - 7.80615i) q^{94} +(0.0868066 - 0.0501178i) q^{95} +(2.75426 + 9.40287i) q^{96} +(9.57960 + 5.53079i) q^{97} +(0.162444 - 5.61098i) q^{98} +(-2.06444 - 7.45141i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504 q - 24 q^{2} - 16 q^{3} - 8 q^{4} - 24 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{9} + O(q^{10}) \) \( 1504 q - 24 q^{2} - 16 q^{3} - 8 q^{4} - 24 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{9} - 32 q^{10} - 24 q^{11} - 16 q^{12} - 8 q^{13} - 24 q^{14} - 16 q^{15} - 8 q^{16} - 16 q^{18} - 32 q^{19} - 24 q^{20} - 16 q^{21} - 8 q^{22} - 24 q^{23} - 96 q^{24} - 8 q^{25} - 16 q^{27} - 32 q^{28} - 24 q^{29} + 64 q^{30} - 16 q^{31} - 24 q^{32} - 8 q^{34} + 64 q^{36} - 32 q^{37} - 24 q^{38} - 16 q^{39} - 8 q^{40} - 24 q^{41} - 96 q^{42} - 8 q^{43} - 16 q^{45} - 32 q^{46} - 24 q^{47} - 16 q^{48} - 8 q^{49} - 24 q^{50} - 16 q^{51} - 8 q^{52} - 16 q^{54} - 32 q^{55} - 24 q^{56} - 16 q^{57} + 64 q^{58} - 24 q^{59} - 16 q^{60} - 8 q^{61} - 32 q^{64} - 48 q^{65} - 8 q^{67} - 24 q^{68} - 16 q^{69} - 8 q^{70} - 16 q^{72} - 32 q^{73} - 24 q^{74} - 16 q^{75} - 56 q^{76} - 24 q^{77} - 40 q^{78} - 8 q^{79} - 16 q^{81} - 32 q^{82} - 24 q^{83} - 128 q^{84} - 8 q^{85} - 24 q^{86} - 16 q^{87} - 8 q^{88} - 160 q^{90} - 32 q^{91} - 480 q^{92} + 8 q^{93} - 8 q^{94} - 48 q^{95} - 152 q^{96} - 16 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(e\left(\frac{7}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.326341 1.37605i −0.230758 0.973011i
\(3\) −1.10447 1.33423i −0.637663 0.770315i
\(4\) −1.78700 + 0.898119i −0.893502 + 0.449060i
\(5\) 0.390464 + 0.445238i 0.174621 + 0.199117i 0.832529 0.553981i \(-0.186892\pi\)
−0.657909 + 0.753098i \(0.728559\pi\)
\(6\) −1.47552 + 1.95521i −0.602380 + 0.798210i
\(7\) −0.227235 + 1.72602i −0.0858866 + 0.652373i 0.893307 + 0.449446i \(0.148379\pi\)
−0.979194 + 0.202927i \(0.934955\pi\)
\(8\) 1.81903 + 2.16591i 0.643123 + 0.765763i
\(9\) −0.560313 + 2.94721i −0.186771 + 0.982403i
\(10\) 0.485244 0.682595i 0.153448 0.215856i
\(11\) −2.31157 + 1.13994i −0.696965 + 0.343705i −0.756019 0.654550i \(-0.772858\pi\)
0.0590540 + 0.998255i \(0.481192\pi\)
\(12\) 3.17198 + 1.39232i 0.915671 + 0.401929i
\(13\) 6.27310 2.12943i 1.73984 0.590597i 0.742949 0.669348i \(-0.233426\pi\)
0.996894 + 0.0787502i \(0.0250929\pi\)
\(14\) 2.44924 0.250585i 0.654586 0.0669716i
\(15\) 0.162795 1.01272i 0.0420334 0.261482i
\(16\) 2.38676 3.20988i 0.596691 0.802471i
\(17\) 3.24939 3.24939i 0.788093 0.788093i −0.193088 0.981181i \(-0.561850\pi\)
0.981181 + 0.193088i \(0.0618503\pi\)
\(18\) 4.23835 0.190779i 0.998988 0.0449670i
\(19\) 0.0330210 0.166008i 0.00757555 0.0380848i −0.976813 0.214096i \(-0.931319\pi\)
0.984388 + 0.176011i \(0.0563195\pi\)
\(20\) −1.09764 0.444960i −0.245439 0.0994960i
\(21\) 2.55387 1.60314i 0.557300 0.349835i
\(22\) 2.32297 + 2.80882i 0.495259 + 0.598842i
\(23\) 0.930230 + 7.06580i 0.193966 + 1.47332i 0.760530 + 0.649303i \(0.224939\pi\)
−0.566563 + 0.824018i \(0.691727\pi\)
\(24\) 0.880755 4.81916i 0.179783 0.983706i
\(25\) 0.606856 4.60953i 0.121371 0.921905i
\(26\) −4.97736 7.93715i −0.976140 1.55660i
\(27\) 4.55109 2.50751i 0.875857 0.482570i
\(28\) −1.14410 3.28848i −0.216215 0.621465i
\(29\) −2.87033 + 0.188132i −0.533008 + 0.0349352i −0.329531 0.944145i \(-0.606891\pi\)
−0.203476 + 0.979080i \(0.565224\pi\)
\(30\) −1.44667 + 0.106478i −0.264125 + 0.0194401i
\(31\) 3.97508 + 6.88504i 0.713946 + 1.23659i 0.963365 + 0.268194i \(0.0864270\pi\)
−0.249419 + 0.968396i \(0.580240\pi\)
\(32\) −5.19585 2.23678i −0.918505 0.395410i
\(33\) 4.07399 + 1.82513i 0.709190 + 0.317715i
\(34\) −5.53172 3.41090i −0.948682 0.584965i
\(35\) −0.857216 + 0.572774i −0.144896 + 0.0968164i
\(36\) −1.64567 5.76990i −0.274278 0.961651i
\(37\) −1.20923 + 0.240530i −0.198796 + 0.0395429i −0.293484 0.955964i \(-0.594815\pi\)
0.0946880 + 0.995507i \(0.469815\pi\)
\(38\) −0.239211 + 0.00873669i −0.0388051 + 0.00141728i
\(39\) −9.76955 6.01784i −1.56438 0.963626i
\(40\) −0.254081 + 1.65561i −0.0401738 + 0.261774i
\(41\) −6.23888 + 0.821364i −0.974349 + 0.128276i −0.600856 0.799357i \(-0.705173\pi\)
−0.373493 + 0.927633i \(0.621840\pi\)
\(42\) −3.03943 2.99107i −0.468995 0.461532i
\(43\) 4.55188 2.24474i 0.694156 0.342320i −0.0607501 0.998153i \(-0.519349\pi\)
0.754906 + 0.655833i \(0.227683\pi\)
\(44\) 3.10698 4.11315i 0.468395 0.620080i
\(45\) −1.53099 + 0.901306i −0.228227 + 0.134359i
\(46\) 9.41929 3.58590i 1.38880 0.528712i
\(47\) 6.05784 1.62319i 0.883627 0.236767i 0.211656 0.977344i \(-0.432114\pi\)
0.671971 + 0.740577i \(0.265448\pi\)
\(48\) −6.91881 + 0.360727i −0.998644 + 0.0520665i
\(49\) 3.83398 + 1.02731i 0.547711 + 0.146759i
\(50\) −6.54096 + 0.669215i −0.925031 + 0.0946412i
\(51\) −7.92426 0.746579i −1.10962 0.104542i
\(52\) −9.29756 + 9.43929i −1.28934 + 1.30899i
\(53\) 4.13952 6.19522i 0.568606 0.850980i −0.430050 0.902805i \(-0.641504\pi\)
0.998656 + 0.0518256i \(0.0165040\pi\)
\(54\) −4.93565 5.44420i −0.671657 0.740862i
\(55\) −1.41013 0.584095i −0.190142 0.0787593i
\(56\) −4.15174 + 2.64750i −0.554799 + 0.353787i
\(57\) −0.257963 + 0.139293i −0.0341680 + 0.0184498i
\(58\) 1.19558 + 3.88832i 0.156988 + 0.510561i
\(59\) 3.55145 3.11454i 0.462359 0.405478i −0.396223 0.918154i \(-0.629679\pi\)
0.858582 + 0.512676i \(0.171346\pi\)
\(60\) 0.618626 + 1.95594i 0.0798642 + 0.252510i
\(61\) 15.3369 1.00524i 1.96369 0.128707i 0.970176 0.242401i \(-0.0779349\pi\)
0.993516 + 0.113694i \(0.0362683\pi\)
\(62\) 8.17690 7.71676i 1.03847 0.980030i
\(63\) −4.95962 1.63682i −0.624853 0.206220i
\(64\) −1.38229 + 7.87967i −0.172787 + 0.984959i
\(65\) 3.39752 + 1.96156i 0.421410 + 0.243301i
\(66\) 1.18196 6.20161i 0.145489 0.763365i
\(67\) 2.13764 + 1.05417i 0.261154 + 0.128787i 0.568153 0.822923i \(-0.307658\pi\)
−0.306999 + 0.951710i \(0.599325\pi\)
\(68\) −2.88833 + 8.72502i −0.350262 + 1.05806i
\(69\) 8.39996 9.04507i 1.01124 1.08890i
\(70\) 1.06791 + 0.992649i 0.127639 + 0.118644i
\(71\) −3.86052 9.32012i −0.458160 1.10610i −0.969142 0.246504i \(-0.920718\pi\)
0.510982 0.859591i \(-0.329282\pi\)
\(72\) −7.40260 + 4.14747i −0.872405 + 0.488784i
\(73\) −4.40458 + 10.6336i −0.515518 + 1.24457i 0.425114 + 0.905140i \(0.360234\pi\)
−0.940631 + 0.339430i \(0.889766\pi\)
\(74\) 0.725601 + 1.58546i 0.0843494 + 0.184306i
\(75\) −6.82040 + 4.28138i −0.787551 + 0.494371i
\(76\) 0.0900863 + 0.326314i 0.0103336 + 0.0374307i
\(77\) −1.44229 4.24885i −0.164364 0.484201i
\(78\) −5.09262 + 15.4072i −0.576626 + 1.74452i
\(79\) −6.46663 + 1.73273i −0.727553 + 0.194947i −0.603539 0.797333i \(-0.706243\pi\)
−0.124014 + 0.992281i \(0.539577\pi\)
\(80\) 2.36111 0.190664i 0.263980 0.0213169i
\(81\) −8.37210 3.30272i −0.930233 0.366969i
\(82\) 3.16624 + 8.31694i 0.349652 + 0.918452i
\(83\) −1.67673 + 1.91195i −0.184045 + 0.209863i −0.836504 0.547961i \(-0.815404\pi\)
0.652459 + 0.757824i \(0.273738\pi\)
\(84\) −3.12396 + 5.15850i −0.340852 + 0.562839i
\(85\) 2.71552 + 0.177985i 0.294540 + 0.0193052i
\(86\) −4.57433 5.53105i −0.493263 0.596428i
\(87\) 3.42119 + 3.62189i 0.366791 + 0.388307i
\(88\) −6.67381 2.93306i −0.711431 0.312666i
\(89\) 2.37984 + 5.74543i 0.252262 + 0.609014i 0.998386 0.0567926i \(-0.0180874\pi\)
−0.746124 + 0.665807i \(0.768087\pi\)
\(90\) 1.73986 + 1.81258i 0.183398 + 0.191063i
\(91\) 2.24997 + 11.3114i 0.235861 + 1.18575i
\(92\) −8.00826 11.7912i −0.834919 1.22931i
\(93\) 4.79586 12.9079i 0.497307 1.33849i
\(94\) −4.21051 7.80615i −0.434281 0.805143i
\(95\) 0.0868066 0.0501178i 0.00890617 0.00514198i
\(96\) 2.75426 + 9.40287i 0.281106 + 0.959677i
\(97\) 9.57960 + 5.53079i 0.972661 + 0.561566i 0.900047 0.435794i \(-0.143532\pi\)
0.0726147 + 0.997360i \(0.476866\pi\)
\(98\) 0.162444 5.61098i 0.0164094 0.566795i
\(99\) −2.06444 7.45141i −0.207484 0.748895i
\(100\) 3.05545 + 8.78227i 0.305545 + 0.878227i
\(101\) 3.53926 + 1.20142i 0.352169 + 0.119545i 0.491918 0.870642i \(-0.336296\pi\)
−0.139748 + 0.990187i \(0.544629\pi\)
\(102\) 1.55868 + 11.1478i 0.154332 + 1.10380i
\(103\) −2.01589 + 2.62716i −0.198632 + 0.258862i −0.882040 0.471174i \(-0.843830\pi\)
0.683408 + 0.730036i \(0.260497\pi\)
\(104\) 16.0231 + 9.71345i 1.57119 + 0.952482i
\(105\) 1.71097 + 0.511111i 0.166974 + 0.0498793i
\(106\) −9.87580 3.67441i −0.959223 0.356890i
\(107\) −3.63432 + 5.43914i −0.351343 + 0.525822i −0.964480 0.264155i \(-0.914907\pi\)
0.613138 + 0.789976i \(0.289907\pi\)
\(108\) −5.88077 + 8.56835i −0.565877 + 0.824490i
\(109\) 13.5891 + 2.70303i 1.30160 + 0.258903i 0.796751 0.604307i \(-0.206550\pi\)
0.504844 + 0.863211i \(0.331550\pi\)
\(110\) −0.343559 + 2.13102i −0.0327570 + 0.203184i
\(111\) 1.65647 + 1.34772i 0.157225 + 0.127920i
\(112\) 4.99796 + 4.84899i 0.472263 + 0.458187i
\(113\) −0.475626 + 1.77506i −0.0447432 + 0.166984i −0.984682 0.174359i \(-0.944215\pi\)
0.939939 + 0.341342i \(0.110882\pi\)
\(114\) 0.275857 + 0.309512i 0.0258363 + 0.0289884i
\(115\) −2.78274 + 3.17311i −0.259492 + 0.295894i
\(116\) 4.96033 2.91409i 0.460555 0.270567i
\(117\) 2.76098 + 19.6813i 0.255253 + 1.81954i
\(118\) −5.44473 3.87056i −0.501228 0.356314i
\(119\) 4.87013 + 6.34688i 0.446444 + 0.581818i
\(120\) 2.48958 1.48956i 0.227266 0.135978i
\(121\) −2.65248 + 3.45678i −0.241134 + 0.314253i
\(122\) −6.38831 20.7763i −0.578371 1.88099i
\(123\) 7.98651 + 7.41690i 0.720120 + 0.668760i
\(124\) −13.2871 8.73350i −1.19321 0.784291i
\(125\) 4.75127 3.17470i 0.424966 0.283953i
\(126\) −0.633812 + 7.35882i −0.0564645 + 0.655576i
\(127\) 20.8901i 1.85370i −0.375436 0.926848i \(-0.622507\pi\)
0.375436 0.926848i \(-0.377493\pi\)
\(128\) 11.2939 0.669357i 0.998248 0.0591634i
\(129\) −8.02238 3.59400i −0.706332 0.316434i
\(130\) 1.59045 5.31528i 0.139491 0.466181i
\(131\) 4.16908 8.45407i 0.364255 0.738635i −0.635176 0.772367i \(-0.719073\pi\)
0.999431 + 0.0337320i \(0.0107393\pi\)
\(132\) −8.91942 + 0.397411i −0.776336 + 0.0345902i
\(133\) 0.279029 + 0.0947177i 0.0241949 + 0.00821306i
\(134\) 0.752983 3.28551i 0.0650478 0.283825i
\(135\) 2.89347 + 1.04723i 0.249031 + 0.0901311i
\(136\) 12.9486 + 1.12715i 1.11033 + 0.0966524i
\(137\) −13.5562 + 10.4020i −1.15819 + 0.888707i −0.995194 0.0979205i \(-0.968781\pi\)
−0.162991 + 0.986628i \(0.552114\pi\)
\(138\) −15.1877 8.60696i −1.29286 0.732673i
\(139\) 12.5986 + 0.825758i 1.06860 + 0.0700399i 0.589539 0.807740i \(-0.299310\pi\)
0.479064 + 0.877780i \(0.340976\pi\)
\(140\) 1.01743 1.79343i 0.0859885 0.151573i
\(141\) −8.85638 6.28976i −0.745842 0.529694i
\(142\) −11.5651 + 8.35379i −0.970519 + 0.701034i
\(143\) −12.0733 + 12.0733i −1.00962 + 1.00962i
\(144\) 8.12287 + 8.83283i 0.676906 + 0.736069i
\(145\) −1.20452 1.20452i −0.100030 0.100030i
\(146\) 16.0697 + 2.59073i 1.32994 + 0.214410i
\(147\) −2.86383 6.25002i −0.236205 0.515493i
\(148\) 1.94487 1.51586i 0.159867 0.124603i
\(149\) −1.11851 + 17.0652i −0.0916320 + 1.39803i 0.666291 + 0.745691i \(0.267881\pi\)
−0.757923 + 0.652343i \(0.773786\pi\)
\(150\) 8.11715 + 7.98799i 0.662762 + 0.652216i
\(151\) −3.65811 4.76735i −0.297693 0.387961i 0.620427 0.784265i \(-0.286960\pi\)
−0.918120 + 0.396303i \(0.870293\pi\)
\(152\) 0.419624 0.230452i 0.0340360 0.0186921i
\(153\) 7.75597 + 11.3973i 0.627033 + 0.921418i
\(154\) −5.37593 + 3.37123i −0.433205 + 0.271661i
\(155\) −1.51336 + 4.45822i −0.121556 + 0.358093i
\(156\) 22.8630 + 1.97968i 1.83050 + 0.158501i
\(157\) −16.5838 8.17823i −1.32353 0.652693i −0.363241 0.931695i \(-0.618330\pi\)
−0.960291 + 0.279002i \(0.909996\pi\)
\(158\) 4.49464 + 8.33292i 0.357574 + 0.662932i
\(159\) −12.8378 + 1.31936i −1.01810 + 0.104632i
\(160\) −1.03289 3.18677i −0.0816570 0.251936i
\(161\) −12.4071 −0.977815
\(162\) −1.81254 + 12.5982i −0.142406 + 0.989808i
\(163\) 9.74007 + 14.5770i 0.762901 + 1.14176i 0.985964 + 0.166958i \(0.0533945\pi\)
−0.223063 + 0.974804i \(0.571606\pi\)
\(164\) 10.4112 7.07104i 0.812980 0.552155i
\(165\) 0.778125 + 2.52654i 0.0605770 + 0.196691i
\(166\) 3.17811 + 1.68331i 0.246669 + 0.130650i
\(167\) −1.73696 1.33282i −0.134410 0.103137i 0.539368 0.842070i \(-0.318663\pi\)
−0.673778 + 0.738933i \(0.735330\pi\)
\(168\) 8.11781 + 2.61528i 0.626303 + 0.201773i
\(169\) 24.5037 18.8023i 1.88490 1.44633i
\(170\) −0.641270 3.79477i −0.0491832 0.291045i
\(171\) 0.470758 + 0.190336i 0.0359998 + 0.0145554i
\(172\) −6.11819 + 8.09949i −0.466507 + 0.617580i
\(173\) 5.53620 + 4.85511i 0.420909 + 0.369128i 0.843442 0.537220i \(-0.180526\pi\)
−0.422533 + 0.906348i \(0.638859\pi\)
\(174\) 3.86741 5.88969i 0.293187 0.446496i
\(175\) 7.81823 + 2.09489i 0.591002 + 0.158359i
\(176\) −1.85809 + 10.1406i −0.140059 + 0.764380i
\(177\) −8.07795 1.29853i −0.607176 0.0976038i
\(178\) 7.12934 5.14973i 0.534367 0.385989i
\(179\) 3.03053 15.2355i 0.226513 1.13876i −0.685335 0.728228i \(-0.740344\pi\)
0.911848 0.410528i \(-0.134656\pi\)
\(180\) 1.92641 2.98565i 0.143586 0.222537i
\(181\) −8.30659 5.55028i −0.617424 0.412549i 0.207146 0.978310i \(-0.433583\pi\)
−0.824569 + 0.565761i \(0.808583\pi\)
\(182\) 14.8307 6.78742i 1.09932 0.503117i
\(183\) −18.2803 19.3527i −1.35132 1.43059i
\(184\) −13.6117 + 14.8677i −1.00347 + 1.09606i
\(185\) −0.579253 0.444476i −0.0425875 0.0326785i
\(186\) −19.3270 2.38693i −1.41712 0.175018i
\(187\) −3.80709 + 11.2153i −0.278402 + 0.820145i
\(188\) −9.36756 + 8.34132i −0.683200 + 0.608353i
\(189\) 3.29384 + 8.42505i 0.239592 + 0.612832i
\(190\) −0.0972930 0.103094i −0.00705837 0.00747926i
\(191\) −0.544469 + 0.943047i −0.0393964 + 0.0682365i −0.885051 0.465494i \(-0.845877\pi\)
0.845655 + 0.533730i \(0.179210\pi\)
\(192\) 12.0400 6.85853i 0.868909 0.494972i
\(193\) 2.10271 + 3.64199i 0.151356 + 0.262156i 0.931726 0.363161i \(-0.118303\pi\)
−0.780370 + 0.625318i \(0.784969\pi\)
\(194\) 4.48440 14.9869i 0.321961 1.07600i
\(195\) −1.13528 6.69953i −0.0812992 0.479763i
\(196\) −7.77398 + 1.60756i −0.555284 + 0.114826i
\(197\) −23.0247 + 4.57990i −1.64044 + 0.326304i −0.927187 0.374599i \(-0.877780\pi\)
−0.713256 + 0.700903i \(0.752780\pi\)
\(198\) −9.57977 + 5.27247i −0.680805 + 0.374698i
\(199\) −10.0108 + 4.14660i −0.709645 + 0.293944i −0.708157 0.706055i \(-0.750473\pi\)
−0.00148704 + 0.999999i \(0.500473\pi\)
\(200\) 11.0877 7.07045i 0.784018 0.499956i
\(201\) −0.954452 4.01638i −0.0673219 0.283294i
\(202\) 0.498200 5.26225i 0.0350532 0.370251i
\(203\) 0.327521 4.99700i 0.0229874 0.350721i
\(204\) 14.8312 5.78279i 1.03839 0.404876i
\(205\) −2.80176 2.45708i −0.195683 0.171610i
\(206\) 4.27296 + 1.91661i 0.297711 + 0.133537i
\(207\) −21.3456 1.21747i −1.48362 0.0846203i
\(208\) 8.13717 25.2184i 0.564211 1.74858i
\(209\) 0.112909 + 0.421381i 0.00781006 + 0.0291476i
\(210\) 0.144951 2.52118i 0.0100026 0.173978i
\(211\) −23.6808 + 8.03854i −1.63025 + 0.553396i −0.978716 0.205221i \(-0.934209\pi\)
−0.651537 + 0.758617i \(0.725875\pi\)
\(212\) −1.83328 + 14.7887i −0.125910 + 1.01569i
\(213\) −8.17133 + 15.4446i −0.559890 + 1.05824i
\(214\) 8.67053 + 3.22597i 0.592705 + 0.220523i
\(215\) 2.77679 + 1.15018i 0.189375 + 0.0784419i
\(216\) 13.7096 + 5.29601i 0.932818 + 0.360348i
\(217\) −12.7870 + 5.29654i −0.868037 + 0.359553i
\(218\) −0.715167 19.5813i −0.0484372 1.32621i
\(219\) 19.0523 5.86774i 1.28744 0.396505i
\(220\) 3.04449 0.222685i 0.205260 0.0150134i
\(221\) 13.4644 27.3031i 0.905713 1.83661i
\(222\) 1.31396 2.71920i 0.0881870 0.182501i
\(223\) 6.78606 11.7538i 0.454428 0.787092i −0.544227 0.838938i \(-0.683177\pi\)
0.998655 + 0.0518457i \(0.0165104\pi\)
\(224\) 5.04140 8.45985i 0.336843 0.565248i
\(225\) 13.2452 + 4.37131i 0.883014 + 0.291420i
\(226\) 2.59778 + 0.0752088i 0.172802 + 0.00500281i
\(227\) −0.815041 12.4351i −0.0540962 0.825349i −0.935576 0.353126i \(-0.885119\pi\)
0.881479 0.472222i \(-0.156548\pi\)
\(228\) 0.335879 0.480598i 0.0222441 0.0318283i
\(229\) −12.6085 14.3772i −0.833191 0.950072i 0.166160 0.986099i \(-0.446863\pi\)
−0.999351 + 0.0360266i \(0.988530\pi\)
\(230\) 5.27447 + 2.79367i 0.347788 + 0.184209i
\(231\) −4.07596 + 6.61704i −0.268178 + 0.435369i
\(232\) −5.62869 5.87466i −0.369541 0.385690i
\(233\) −8.36165 + 20.1868i −0.547790 + 1.32248i 0.371329 + 0.928502i \(0.378902\pi\)
−0.919119 + 0.393981i \(0.871098\pi\)
\(234\) 26.1813 10.2220i 1.71153 0.668235i
\(235\) 3.08808 + 2.06339i 0.201444 + 0.134600i
\(236\) −3.54923 + 8.75531i −0.231035 + 0.569922i
\(237\) 9.45402 + 6.71420i 0.614105 + 0.436134i
\(238\) 7.14428 8.77277i 0.463095 0.568654i
\(239\) −2.61731 + 9.76792i −0.169299 + 0.631834i 0.828153 + 0.560502i \(0.189392\pi\)
−0.997453 + 0.0713323i \(0.977275\pi\)
\(240\) −2.86215 2.93967i −0.184751 0.189755i
\(241\) −1.35031 5.03941i −0.0869809 0.324617i 0.908701 0.417448i \(-0.137075\pi\)
−0.995682 + 0.0928303i \(0.970409\pi\)
\(242\) 5.62230 + 2.52185i 0.361415 + 0.162110i
\(243\) 4.84012 + 14.8180i 0.310494 + 0.950575i
\(244\) −26.5043 + 15.5707i −1.69677 + 0.996815i
\(245\) 1.03963 + 2.10816i 0.0664196 + 0.134686i
\(246\) 7.59967 13.4102i 0.484537 0.855006i
\(247\) −0.146358 1.11170i −0.00931254 0.0707358i
\(248\) −7.68158 + 21.1337i −0.487781 + 1.34199i
\(249\) 4.40286 + 0.125459i 0.279020 + 0.00795065i
\(250\) −5.91906 5.50193i −0.374354 0.347973i
\(251\) −4.25548 21.3937i −0.268603 1.35036i −0.845689 0.533676i \(-0.820810\pi\)
0.577085 0.816684i \(-0.304190\pi\)
\(252\) 10.3329 1.52933i 0.650912 0.0963386i
\(253\) −10.2049 15.2727i −0.641576 0.960186i
\(254\) −28.7457 + 6.81729i −1.80367 + 0.427755i
\(255\) −2.76173 3.81970i −0.172946 0.239199i
\(256\) −4.60672 15.3225i −0.287920 0.957654i
\(257\) −21.2154 + 12.2487i −1.32338 + 0.764055i −0.984267 0.176690i \(-0.943461\pi\)
−0.339116 + 0.940745i \(0.610128\pi\)
\(258\) −2.32748 + 12.2120i −0.144902 + 0.760288i
\(259\) −0.140381 2.14181i −0.00872287 0.133085i
\(260\) −7.83309 0.453935i −0.485788 0.0281518i
\(261\) 1.05382 8.56489i 0.0652299 0.530153i
\(262\) −12.9937 2.97794i −0.802755 0.183978i
\(263\) 15.7765 + 2.07702i 0.972823 + 0.128075i 0.600150 0.799888i \(-0.295108\pi\)
0.372674 + 0.927962i \(0.378441\pi\)
\(264\) 3.45762 + 12.1438i 0.212802 + 0.747401i
\(265\) 4.37468 0.575938i 0.268735 0.0353796i
\(266\) 0.0392772 0.414867i 0.00240824 0.0254371i
\(267\) 5.03725 9.52087i 0.308275 0.582667i
\(268\) −4.76674 + 0.0360549i −0.291175 + 0.00220240i
\(269\) 11.0827 + 2.20448i 0.675722 + 0.134410i 0.521011 0.853550i \(-0.325555\pi\)
0.154712 + 0.987960i \(0.450555\pi\)
\(270\) 0.496776 4.32330i 0.0302328 0.263108i
\(271\) −3.64224 3.64224i −0.221250 0.221250i 0.587775 0.809025i \(-0.300004\pi\)
−0.809025 + 0.587775i \(0.800004\pi\)
\(272\) −2.67464 18.1857i −0.162174 1.10267i
\(273\) 12.6069 15.4950i 0.763003 0.937798i
\(274\) 18.7376 + 15.2594i 1.13198 + 0.921852i
\(275\) 3.85180 + 11.3470i 0.232272 + 0.684251i
\(276\) −6.88721 + 23.7077i −0.414561 + 1.42704i
\(277\) 0.554076 + 1.12355i 0.0332912 + 0.0675078i 0.912883 0.408221i \(-0.133851\pi\)
−0.879592 + 0.475729i \(0.842184\pi\)
\(278\) −2.97517 17.6058i −0.178439 1.05592i
\(279\) −22.5190 + 7.85762i −1.34817 + 0.470424i
\(280\) −2.79987 0.814760i −0.167324 0.0486912i
\(281\) −8.39279 1.10493i −0.500672 0.0659147i −0.124039 0.992277i \(-0.539585\pi\)
−0.376633 + 0.926363i \(0.622918\pi\)
\(282\) −5.76480 + 14.2394i −0.343289 + 0.847944i
\(283\) −5.99642 + 5.25872i −0.356450 + 0.312598i −0.818778 0.574111i \(-0.805348\pi\)
0.462327 + 0.886709i \(0.347014\pi\)
\(284\) 15.2693 + 13.1879i 0.906069 + 0.782557i
\(285\) −0.162743 0.0604662i −0.00964009 0.00358171i
\(286\) 20.5534 + 12.6734i 1.21535 + 0.749393i
\(287\) 10.9551i 0.646657i
\(288\) 9.50356 14.0600i 0.560003 0.828491i
\(289\) 4.11709i 0.242182i
\(290\) −1.26440 + 2.05057i −0.0742478 + 0.120413i
\(291\) −3.20103 18.8899i −0.187647 1.10735i
\(292\) −1.67924 22.9581i −0.0982701 1.34352i
\(293\) 0.722428 0.633552i 0.0422047 0.0370125i −0.637984 0.770050i \(-0.720231\pi\)
0.680188 + 0.733037i \(0.261898\pi\)
\(294\) −7.66573 + 5.98040i −0.447074 + 0.348784i
\(295\) 2.77342 + 0.365128i 0.161475 + 0.0212586i
\(296\) −2.72058 2.18154i −0.158131 0.126800i
\(297\) −7.66175 + 10.9843i −0.444580 + 0.637371i
\(298\) 23.8475 4.02994i 1.38145 0.233448i
\(299\) 20.8815 + 42.3436i 1.20761 + 2.44879i
\(300\) 8.34288 13.7764i 0.481676 0.795379i
\(301\) 2.84012 + 8.36671i 0.163702 + 0.482249i
\(302\) −5.36630 + 6.58951i −0.308796 + 0.379184i
\(303\) −2.30603 6.04909i −0.132478 0.347511i
\(304\) −0.454053 0.502216i −0.0260417 0.0288040i
\(305\) 6.43608 + 6.43608i 0.368529 + 0.368529i
\(306\) 13.1521 14.3920i 0.751858 0.822734i
\(307\) −27.6037 5.49073i −1.57543 0.313372i −0.671483 0.741020i \(-0.734343\pi\)
−0.903946 + 0.427647i \(0.859343\pi\)
\(308\) 6.39335 + 6.29736i 0.364295 + 0.358825i
\(309\) 5.73171 0.211955i 0.326066 0.0120577i
\(310\) 6.62858 + 0.627556i 0.376478 + 0.0356428i
\(311\) −7.78899 + 1.02544i −0.441673 + 0.0581474i −0.348084 0.937463i \(-0.613167\pi\)
−0.0935896 + 0.995611i \(0.529834\pi\)
\(312\) −4.73699 32.1065i −0.268179 1.81767i
\(313\) −1.19799 0.157719i −0.0677145 0.00891479i 0.0965928 0.995324i \(-0.469206\pi\)
−0.164307 + 0.986409i \(0.552539\pi\)
\(314\) −5.84164 + 25.4890i −0.329663 + 1.43842i
\(315\) −1.20778 2.84733i −0.0680504 0.160429i
\(316\) 9.99970 8.90420i 0.562527 0.500900i
\(317\) −0.521432 7.95551i −0.0292865 0.446826i −0.987170 0.159670i \(-0.948957\pi\)
0.957884 0.287156i \(-0.0927098\pi\)
\(318\) 6.00499 + 17.2348i 0.336743 + 0.966480i
\(319\) 6.42052 3.70689i 0.359480 0.207546i
\(320\) −4.04807 + 2.46127i −0.226294 + 0.137589i
\(321\) 11.2710 1.15834i 0.629087 0.0646525i
\(322\) 4.04893 + 17.0727i 0.225638 + 0.951425i
\(323\) −0.432127 0.646723i −0.0240442 0.0359846i
\(324\) 17.9272 1.61717i 0.995956 0.0898430i
\(325\) −6.00879 30.2083i −0.333308 1.67565i
\(326\) 16.8801 18.1599i 0.934902 1.00578i
\(327\) −11.4022 21.1163i −0.630542 1.16773i
\(328\) −13.1277 12.0187i −0.724855 0.663624i
\(329\) 1.42511 + 10.8248i 0.0785689 + 0.596790i
\(330\) 3.22270 1.89525i 0.177404 0.104330i
\(331\) −0.250966 0.508908i −0.0137943 0.0279721i 0.889867 0.456221i \(-0.150797\pi\)
−0.903661 + 0.428249i \(0.859131\pi\)
\(332\) 1.27917 4.92256i 0.0702035 0.270160i
\(333\) −0.0313479 3.69862i −0.00171786 0.202683i
\(334\) −1.26718 + 2.82509i −0.0693369 + 0.154582i
\(335\) 0.365315 + 1.36337i 0.0199593 + 0.0744890i
\(336\) 0.949570 12.0240i 0.0518033 0.655960i
\(337\) 7.03273 26.2465i 0.383097 1.42974i −0.458048 0.888928i \(-0.651451\pi\)
0.841145 0.540810i \(-0.181882\pi\)
\(338\) −33.8694 27.5822i −1.84225 1.50027i
\(339\) 2.89364 1.32590i 0.157161 0.0720131i
\(340\) −5.01250 + 2.12080i −0.271841 + 0.115017i
\(341\) −17.0372 11.3839i −0.922617 0.616473i
\(342\) 0.108284 0.709900i 0.00585532 0.0383870i
\(343\) −7.30790 + 17.6428i −0.394589 + 0.952623i
\(344\) 13.1419 + 5.77571i 0.708563 + 0.311405i
\(345\) 7.30709 + 0.208215i 0.393401 + 0.0112099i
\(346\) 4.87417 9.20248i 0.262037 0.494728i
\(347\) 12.6077 + 14.3763i 0.676816 + 0.771761i 0.983667 0.179997i \(-0.0576086\pi\)
−0.306851 + 0.951758i \(0.599275\pi\)
\(348\) −9.36657 3.39968i −0.502101 0.182242i
\(349\) −0.218282 3.33034i −0.0116844 0.178269i −0.999712 0.0239929i \(-0.992362\pi\)
0.988028 0.154276i \(-0.0493046\pi\)
\(350\) 0.331256 11.4419i 0.0177064 0.611594i
\(351\) 23.2098 25.4211i 1.23885 1.35688i
\(352\) 14.5604 0.752482i 0.776070 0.0401074i
\(353\) 4.45728 7.72023i 0.237237 0.410907i −0.722683 0.691179i \(-0.757092\pi\)
0.959920 + 0.280273i \(0.0904249\pi\)
\(354\) 0.849320 + 11.5394i 0.0451409 + 0.613311i
\(355\) 2.64228 5.35802i 0.140238 0.284374i
\(356\) −9.41286 8.12973i −0.498880 0.430875i
\(357\) 3.08928 13.5078i 0.163502 0.714907i
\(358\) −21.9538 + 0.801817i −1.16029 + 0.0423774i
\(359\) 22.9790 9.51822i 1.21279 0.502353i 0.317677 0.948199i \(-0.397097\pi\)
0.895109 + 0.445846i \(0.147097\pi\)
\(360\) −4.73706 1.67649i −0.249665 0.0883587i
\(361\) 17.5272 + 7.26002i 0.922486 + 0.382106i
\(362\) −4.92667 + 13.2415i −0.258940 + 0.695959i
\(363\) 7.54169 0.278888i 0.395836 0.0146378i
\(364\) −14.1796 18.1927i −0.743216 0.953556i
\(365\) −6.45432 + 2.19095i −0.337835 + 0.114679i
\(366\) −20.6645 + 31.4701i −1.08015 + 1.64497i
\(367\) −5.42122 20.2323i −0.282985 1.05612i −0.950299 0.311339i \(-0.899223\pi\)
0.667314 0.744777i \(-0.267444\pi\)
\(368\) 24.9006 + 13.8785i 1.29804 + 0.723465i
\(369\) 1.07499 18.8475i 0.0559618 0.981162i
\(370\) −0.422586 + 0.942129i −0.0219692 + 0.0489789i
\(371\) 9.75243 + 8.55265i 0.506321 + 0.444031i
\(372\) 3.02266 + 27.3738i 0.156718 + 1.41926i
\(373\) 0.685190 10.4540i 0.0354778 0.541287i −0.942717 0.333595i \(-0.891738\pi\)
0.978194 0.207692i \(-0.0665951\pi\)
\(374\) 16.6752 + 1.57871i 0.862254 + 0.0816332i
\(375\) −9.48337 2.83292i −0.489719 0.146291i
\(376\) 14.5351 + 10.1681i 0.749588 + 0.524379i
\(377\) −17.6053 + 7.29234i −0.906717 + 0.375575i
\(378\) 10.5183 7.28191i 0.541005 0.374541i
\(379\) −0.885609 + 0.176159i −0.0454907 + 0.00904865i −0.217783 0.975997i \(-0.569883\pi\)
0.172293 + 0.985046i \(0.444883\pi\)
\(380\) −0.110112 + 0.167523i −0.00564863 + 0.00859377i
\(381\) −27.8721 + 23.0724i −1.42793 + 1.18203i
\(382\) 1.47536 + 0.441459i 0.0754859 + 0.0225870i
\(383\) 1.12518 + 1.94886i 0.0574938 + 0.0995822i 0.893340 0.449382i \(-0.148356\pi\)
−0.835846 + 0.548964i \(0.815022\pi\)
\(384\) −13.3668 14.3293i −0.682121 0.731240i
\(385\) 1.32859 2.30118i 0.0677111 0.117279i
\(386\) 4.32535 4.08195i 0.220155 0.207766i
\(387\) 4.06524 + 14.6731i 0.206648 + 0.745876i
\(388\) −22.0861 1.27991i −1.12125 0.0649775i
\(389\) 8.18622 24.1158i 0.415058 1.22272i −0.515600 0.856830i \(-0.672431\pi\)
0.930658 0.365891i \(-0.119236\pi\)
\(390\) −8.84837 + 3.74853i −0.448055 + 0.189814i
\(391\) 25.9822 + 19.9369i 1.31398 + 1.00825i
\(392\) 4.74904 + 10.1727i 0.239863 + 0.513801i
\(393\) −15.8842 + 3.77473i −0.801254 + 0.190410i
\(394\) 13.8161 + 30.1885i 0.696043 + 1.52087i
\(395\) −3.29646 2.20263i −0.165863 0.110826i
\(396\) 10.3814 + 11.4616i 0.521686 + 0.575966i
\(397\) −1.42526 + 7.16526i −0.0715317 + 0.359614i −0.999928 0.0119767i \(-0.996188\pi\)
0.928397 + 0.371591i \(0.121188\pi\)
\(398\) 8.97283 + 12.4221i 0.449767 + 0.622662i
\(399\) −0.181803 0.476900i −0.00910156 0.0238749i
\(400\) −13.3476 12.9498i −0.667381 0.647489i
\(401\) −34.0346 9.11954i −1.69961 0.455408i −0.726766 0.686886i \(-0.758977\pi\)
−0.972840 + 0.231477i \(0.925644\pi\)
\(402\) −5.21525 + 2.62408i −0.260113 + 0.130877i
\(403\) 39.5973 + 34.7259i 1.97248 + 1.72982i
\(404\) −7.40368 + 1.03174i −0.368347 + 0.0513310i
\(405\) −1.79850 5.01717i −0.0893683 0.249305i
\(406\) −6.98298 + 1.18004i −0.346560 + 0.0585644i
\(407\) 2.52103 1.93445i 0.124963 0.0958872i
\(408\) −12.7974 18.5212i −0.633566 0.916938i
\(409\) 19.0313 + 14.6032i 0.941036 + 0.722083i 0.960661 0.277725i \(-0.0895803\pi\)
−0.0196243 + 0.999807i \(0.506247\pi\)
\(410\) −2.46672 + 4.65719i −0.121823 + 0.230002i
\(411\) 28.8510 + 6.59834i 1.42312 + 0.325472i
\(412\) 1.24290 6.50526i 0.0612334 0.320491i
\(413\) 4.56873 + 6.83759i 0.224813 + 0.336456i
\(414\) 5.29065 + 29.7699i 0.260021 + 1.46311i
\(415\) −1.50597 −0.0739254
\(416\) −37.3571 2.96735i −1.83158 0.145486i
\(417\) −12.8130 17.7214i −0.627456 0.867822i
\(418\) 0.542993 0.292882i 0.0265587 0.0143253i
\(419\) −35.2801 17.3982i −1.72354 0.849958i −0.984296 0.176526i \(-0.943514\pi\)
−0.739249 0.673433i \(-0.764819\pi\)
\(420\) −3.51656 + 0.623302i −0.171590 + 0.0304140i
\(421\) 1.54056 4.53835i 0.0750824 0.221186i −0.902909 0.429832i \(-0.858573\pi\)
0.977991 + 0.208647i \(0.0669060\pi\)
\(422\) 18.7894 + 29.9625i 0.914654 + 1.45855i
\(423\) 1.38961 + 18.7632i 0.0675651 + 0.912300i
\(424\) 20.9482 2.30347i 1.01733 0.111866i
\(425\) −13.0062 16.9501i −0.630895 0.822199i
\(426\) 23.9191 + 6.20394i 1.15888 + 0.300582i
\(427\) −1.75003 + 26.7002i −0.0846897 + 1.29211i
\(428\) 1.60954 12.9838i 0.0778001 0.627596i
\(429\) 29.4430 + 2.77395i 1.42152 + 0.133928i
\(430\) 0.676526 4.19634i 0.0326250 0.202365i
\(431\) −5.62153 5.62153i −0.270779 0.270779i 0.558634 0.829414i \(-0.311325\pi\)
−0.829414 + 0.558634i \(0.811325\pi\)
\(432\) 2.81356 20.5933i 0.135367 0.990795i
\(433\) −1.46627 + 1.46627i −0.0704646 + 0.0704646i −0.741461 0.670996i \(-0.765867\pi\)
0.670996 + 0.741461i \(0.265867\pi\)
\(434\) 11.4612 + 15.8670i 0.550155 + 0.761640i
\(435\) −0.276751 + 2.93746i −0.0132692 + 0.140841i
\(436\) −26.7113 + 7.37427i −1.27924 + 0.353163i
\(437\) 1.20370 + 0.0788945i 0.0575806 + 0.00377403i
\(438\) −14.2918 24.3020i −0.682890 1.16119i
\(439\) −3.03582 + 2.32947i −0.144892 + 0.111179i −0.678664 0.734449i \(-0.737441\pi\)
0.533772 + 0.845628i \(0.320774\pi\)
\(440\) −1.29997 4.11669i −0.0619735 0.196256i
\(441\) −5.17593 + 10.7239i −0.246473 + 0.510663i
\(442\) −41.9643 9.61752i −1.99604 0.457459i
\(443\) 14.4330 + 4.89936i 0.685734 + 0.232775i 0.642496 0.766289i \(-0.277899\pi\)
0.0432387 + 0.999065i \(0.486232\pi\)
\(444\) −4.17054 0.920679i −0.197925 0.0436935i
\(445\) −1.62885 + 3.30298i −0.0772148 + 0.156576i
\(446\) −18.3883 5.50218i −0.870712 0.260536i
\(447\) 24.0042 17.3556i 1.13536 0.820890i
\(448\) −13.2864 4.17640i −0.627721 0.197316i
\(449\) 31.3676i 1.48033i 0.672426 + 0.740165i \(0.265252\pi\)
−0.672426 + 0.740165i \(0.734748\pi\)
\(450\) 1.69267 19.6526i 0.0797931 0.926430i
\(451\) 13.4853 9.01060i 0.634998 0.424292i
\(452\) −0.744271 3.59921i −0.0350076 0.169293i
\(453\) −2.32045 + 10.1461i −0.109024 + 0.476706i
\(454\) −16.8453 + 5.17962i −0.790590 + 0.243092i
\(455\) −4.15772 + 5.41844i −0.194917 + 0.254021i
\(456\) −0.770935 0.305346i −0.0361023 0.0142991i
\(457\) 7.61089 + 9.91870i 0.356022 + 0.463977i 0.936688 0.350165i \(-0.113874\pi\)
−0.580666 + 0.814142i \(0.697208\pi\)
\(458\) −15.6690 + 22.0417i −0.732166 + 1.02994i
\(459\) 6.64039 22.9361i 0.309947 1.07057i
\(460\) 2.12294 8.16960i 0.0989827 0.380910i
\(461\) 0.542648 0.618772i 0.0252737 0.0288191i −0.739065 0.673634i \(-0.764732\pi\)
0.764339 + 0.644815i \(0.223066\pi\)
\(462\) 10.4355 + 3.44930i 0.485504 + 0.160476i
\(463\) −5.56589 + 20.7722i −0.258669 + 0.965365i 0.707344 + 0.706870i \(0.249893\pi\)
−0.966013 + 0.258495i \(0.916773\pi\)
\(464\) −6.24693 + 9.66247i −0.290006 + 0.448569i
\(465\) 7.61972 2.90478i 0.353356 0.134706i
\(466\) 30.5067 + 4.91824i 1.41320 + 0.227833i
\(467\) −32.2161 6.40819i −1.49078 0.296535i −0.618597 0.785708i \(-0.712299\pi\)
−0.872187 + 0.489173i \(0.837299\pi\)
\(468\) −22.6100 32.6908i −1.04515 1.51113i
\(469\) −2.30526 + 3.45006i −0.106447 + 0.159309i
\(470\) 1.83155 4.92270i 0.0844830 0.227067i
\(471\) 7.40464 + 31.1591i 0.341188 + 1.43573i
\(472\) 13.2060 + 2.02668i 0.607854 + 0.0932856i
\(473\) −7.96313 + 10.3778i −0.366145 + 0.477170i
\(474\) 6.15382 15.2003i 0.282654 0.698172i
\(475\) −0.745179 0.252954i −0.0341912 0.0116063i
\(476\) −14.4032 6.96794i −0.660170 0.319375i
\(477\) 15.9392 + 15.6713i 0.729806 + 0.717539i
\(478\) 14.2952 + 0.413864i 0.653849 + 0.0189297i
\(479\) −7.74484 4.47148i −0.353871 0.204307i 0.312518 0.949912i \(-0.398828\pi\)
−0.666389 + 0.745604i \(0.732161\pi\)
\(480\) −3.11108 + 4.89778i −0.142001 + 0.223552i
\(481\) −7.07341 + 4.08383i −0.322520 + 0.186207i
\(482\) −6.49380 + 3.50265i −0.295785 + 0.159541i
\(483\) 13.7032 + 16.5538i 0.623517 + 0.753226i
\(484\) 1.63539 8.55952i 0.0743359 0.389069i
\(485\) 1.27797 + 6.42478i 0.0580295 + 0.291734i
\(486\) 18.8107 11.4959i 0.853272 0.521467i
\(487\) −10.1571 24.5214i −0.460261 1.11117i −0.968290 0.249829i \(-0.919626\pi\)
0.508029 0.861340i \(-0.330374\pi\)
\(488\) 30.0755 + 31.3898i 1.36145 + 1.42095i
\(489\) 8.69149 29.0953i 0.393043 1.31573i
\(490\) 2.56165 2.11856i 0.115724 0.0957067i
\(491\) 33.8825 + 2.22077i 1.52909 + 0.100222i 0.806577 0.591130i \(-0.201318\pi\)
0.722518 + 0.691352i \(0.242985\pi\)
\(492\) −20.9332 6.08119i −0.943741 0.274161i
\(493\) −8.71553 + 9.93815i −0.392528 + 0.447592i
\(494\) −1.48199 + 0.564188i −0.0666778 + 0.0253840i
\(495\) 2.51156 3.82867i 0.112886 0.172086i
\(496\) 31.5878 + 3.67341i 1.41833 + 0.164941i
\(497\) 16.9639 4.54548i 0.760937 0.203892i
\(498\) −1.26419 6.09947i −0.0566499 0.273324i
\(499\) −1.36572 4.02327i −0.0611378 0.180106i 0.912069 0.410036i \(-0.134484\pi\)
−0.973207 + 0.229929i \(0.926150\pi\)
\(500\) −5.63928 + 9.94040i −0.252196 + 0.444548i
\(501\) 0.140136 + 3.78955i 0.00626079 + 0.169305i
\(502\) −28.0500 + 12.8374i −1.25193 + 0.572960i
\(503\) 3.40879 8.22954i 0.151990 0.366937i −0.829484 0.558530i \(-0.811365\pi\)
0.981474 + 0.191593i \(0.0613655\pi\)
\(504\) −5.47647 13.7195i −0.243941 0.611114i
\(505\) 0.847035 + 2.04492i 0.0376926 + 0.0909979i
\(506\) −17.6857 + 19.0265i −0.786223 + 0.845831i
\(507\) −52.1500 11.9269i −2.31606 0.529692i
\(508\) 18.7618 + 37.3307i 0.832420 + 1.65628i
\(509\) 12.4265 + 6.12809i 0.550796 + 0.271623i 0.696319 0.717732i \(-0.254820\pi\)
−0.145523 + 0.989355i \(0.546486\pi\)
\(510\) −4.35481 + 5.04679i −0.192834 + 0.223476i
\(511\) −17.3529 10.0187i −0.767648 0.443202i
\(512\) −19.5811 + 11.3394i −0.865369 + 0.501136i
\(513\) −0.265985 0.838318i −0.0117435 0.0370126i
\(514\) 23.7783 + 25.1961i 1.04881 + 1.11135i
\(515\) −1.95685 + 0.128258i −0.0862289 + 0.00565174i
\(516\) 17.5639 0.782572i 0.773206 0.0344508i
\(517\) −12.1528 + 10.6577i −0.534479 + 0.468726i
\(518\) −2.90141 + 0.892129i −0.127481 + 0.0391979i
\(519\) 0.363277 12.7488i 0.0159461 0.559612i
\(520\) 1.93162 + 10.9268i 0.0847072 + 0.479173i
\(521\) 26.2304 + 10.8650i 1.14917 + 0.476003i 0.874256 0.485464i \(-0.161349\pi\)
0.274917 + 0.961468i \(0.411349\pi\)
\(522\) −12.1296 + 1.34497i −0.530898 + 0.0588676i
\(523\) −4.72578 + 7.07263i −0.206644 + 0.309264i −0.920286 0.391246i \(-0.872044\pi\)
0.713642 + 0.700510i \(0.247044\pi\)
\(524\) 0.142592 + 18.8518i 0.00622917 + 0.823544i
\(525\) −5.83991 12.7450i −0.254874 0.556237i
\(526\) −2.29045 22.3871i −0.0998684 0.976122i
\(527\) 35.2888 + 9.45560i 1.53720 + 0.411893i
\(528\) 15.5821 8.72088i 0.678124 0.379527i
\(529\) −26.8439 + 7.19281i −1.16713 + 0.312731i
\(530\) −2.22015 5.83181i −0.0964373 0.253318i
\(531\) 7.18927 + 12.2120i 0.311988 + 0.529955i
\(532\) −0.583694 + 0.0813408i −0.0253063 + 0.00352657i
\(533\) −37.3881 + 18.4378i −1.61946 + 0.798628i
\(534\) −14.7450 3.82444i −0.638079 0.165500i
\(535\) −3.84078 + 0.505649i −0.166052 + 0.0218611i
\(536\) 1.60519 + 6.54748i 0.0693338 + 0.282808i
\(537\) −23.6747 + 12.7837i −1.02164 + 0.551657i
\(538\) −0.583261 15.9697i −0.0251461 0.688502i
\(539\) −10.0336 + 1.99580i −0.432177 + 0.0859654i
\(540\) −6.11118 + 0.727284i −0.262983 + 0.0312973i
\(541\) −8.71288 + 5.82176i −0.374596 + 0.250297i −0.728589 0.684951i \(-0.759824\pi\)
0.353993 + 0.935248i \(0.384824\pi\)
\(542\) −3.82328 + 6.20050i −0.164224 + 0.266334i
\(543\) 1.76901 + 17.2130i 0.0759155 + 0.738679i
\(544\) −24.1515 + 9.61517i −1.03549 + 0.412247i
\(545\) 4.10254 + 7.10580i 0.175733 + 0.304379i
\(546\) −25.4359 12.2910i −1.08856 0.526007i
\(547\) 8.32180 0.545439i 0.355814 0.0233213i 0.113552 0.993532i \(-0.463777\pi\)
0.242262 + 0.970211i \(0.422111\pi\)
\(548\) 14.8827 30.7636i 0.635758 1.31416i
\(549\) −5.63083 + 45.7644i −0.240318 + 1.95318i
\(550\) 14.3570 9.00324i 0.612186 0.383900i
\(551\) −0.0635501 + 0.482711i −0.00270732 + 0.0205642i
\(552\) 34.8705 + 1.74032i 1.48419 + 0.0740728i
\(553\) −1.52128 11.5553i −0.0646914 0.491380i
\(554\) 1.36524 1.12909i 0.0580037 0.0479706i
\(555\) 0.0467332 + 1.26376i 0.00198371 + 0.0536437i
\(556\) −23.2554 + 9.83944i −0.986250 + 0.417285i
\(557\) −0.143273 + 0.720281i −0.00607067 + 0.0305193i −0.983702 0.179807i \(-0.942453\pi\)
0.977631 + 0.210326i \(0.0674527\pi\)
\(558\) 18.1613 + 28.4228i 0.768829 + 1.20324i
\(559\) 23.7744 23.7744i 1.00555 1.00555i
\(560\) −0.207435 + 4.11864i −0.00876573 + 0.174044i
\(561\) 19.1685 7.30742i 0.809297 0.308519i
\(562\) 1.21847 + 11.9095i 0.0513982 + 0.502370i
\(563\) −21.2609 + 7.21709i −0.896039 + 0.304164i −0.731206 0.682157i \(-0.761042\pi\)
−0.164833 + 0.986321i \(0.552709\pi\)
\(564\) 21.4753 + 3.28574i 0.904275 + 0.138355i
\(565\) −0.976040 + 0.481330i −0.0410623 + 0.0202497i
\(566\) 9.19311 + 6.53521i 0.386415 + 0.274696i
\(567\) 7.60298 13.6999i 0.319295 0.575342i
\(568\) 13.1641 25.3151i 0.552354 1.06220i
\(569\) 4.51497 34.2946i 0.189278 1.43771i −0.588159 0.808745i \(-0.700147\pi\)
0.777437 0.628961i \(-0.216519\pi\)
\(570\) −0.0300944 + 0.243675i −0.00126052 + 0.0102064i
\(571\) −26.1703 29.8416i −1.09519 1.24883i −0.966368 0.257163i \(-0.917212\pi\)
−0.128827 0.991667i \(-0.541121\pi\)
\(572\) 10.7318 32.4183i 0.448717 1.35548i
\(573\) 1.85958 0.315119i 0.0776852 0.0131643i
\(574\) −15.0747 + 3.57508i −0.629204 + 0.149221i
\(575\) 33.1345 1.38180
\(576\) −22.4485 8.48900i −0.935356 0.353708i
\(577\) 6.98819 0.290922 0.145461 0.989364i \(-0.453533\pi\)
0.145461 + 0.989364i \(0.453533\pi\)
\(578\) −5.66531 + 1.34358i −0.235646 + 0.0558854i
\(579\) 2.53687 6.82794i 0.105429 0.283759i
\(580\) 3.23430 + 1.07068i 0.134297 + 0.0444577i
\(581\) −2.91904 3.32853i −0.121102 0.138091i
\(582\) −24.9487 + 10.5693i −1.03416 + 0.438112i
\(583\) −2.50660 + 19.0395i −0.103813 + 0.788536i
\(584\) −31.0434 + 9.80288i −1.28459 + 0.405646i
\(585\) −7.68480 + 8.91412i −0.317727 + 0.368553i
\(586\) −1.10755 0.787340i −0.0457526 0.0325247i
\(587\) −6.14720 + 3.03147i −0.253722 + 0.125122i −0.564703 0.825294i \(-0.691009\pi\)
0.310981 + 0.950416i \(0.399343\pi\)
\(588\) 10.7309 + 8.59674i 0.442537 + 0.354524i
\(589\) 1.27423 0.432544i 0.0525039 0.0178227i
\(590\) −0.402648 3.93551i −0.0165767 0.162022i
\(591\) 31.5406 + 25.6618i 1.29741 + 1.05559i
\(592\) −2.11407 + 4.45557i −0.0868876 + 0.183123i
\(593\) −9.33255 + 9.33255i −0.383242 + 0.383242i −0.872269 0.489027i \(-0.837352\pi\)
0.489027 + 0.872269i \(0.337352\pi\)
\(594\) 17.6152 + 6.95831i 0.722760 + 0.285503i
\(595\) −0.924266 + 4.64660i −0.0378912 + 0.190492i
\(596\) −13.3278 31.5001i −0.545928 1.29029i
\(597\) 16.5890 + 8.77685i 0.678944 + 0.359212i
\(598\) 51.4522 42.5524i 2.10404 1.74010i
\(599\) 1.57571 + 11.9687i 0.0643820 + 0.489029i 0.993011 + 0.118020i \(0.0376548\pi\)
−0.928629 + 0.371009i \(0.879012\pi\)
\(600\) −21.6795 6.98440i −0.885063 0.285137i
\(601\) 3.61794 27.4810i 0.147579 1.12097i −0.744023 0.668153i \(-0.767085\pi\)
0.891602 0.452819i \(-0.149582\pi\)
\(602\) 10.5861 6.63853i 0.431459 0.270566i
\(603\) −4.30460 + 5.70941i −0.175297 + 0.232505i
\(604\) 10.8187 + 5.23384i 0.440207 + 0.212962i
\(605\) −2.57479 + 0.168760i −0.104680 + 0.00686109i
\(606\) −7.57127 + 5.14727i −0.307562 + 0.209093i
\(607\) 2.48937 + 4.31172i 0.101041 + 0.175007i 0.912114 0.409937i \(-0.134449\pi\)
−0.811073 + 0.584945i \(0.801116\pi\)
\(608\) −0.542896 + 0.788691i −0.0220173 + 0.0319857i
\(609\) −7.02886 + 5.08203i −0.284824 + 0.205934i
\(610\) 6.75599 10.9567i 0.273542 0.443624i
\(611\) 34.5450 23.0822i 1.39754 0.933806i
\(612\) −24.0961 13.4013i −0.974027 0.541714i
\(613\) −28.3281 + 5.63480i −1.14416 + 0.227588i −0.730545 0.682864i \(-0.760734\pi\)
−0.413615 + 0.910452i \(0.635734\pi\)
\(614\) 1.45273 + 39.7759i 0.0586276 + 1.60522i
\(615\) −0.183847 + 6.45193i −0.00741345 + 0.260167i
\(616\) 6.57904 10.8526i 0.265077 0.437265i
\(617\) 31.9263 4.20318i 1.28530 0.169214i 0.543260 0.839564i \(-0.317190\pi\)
0.742044 + 0.670351i \(0.233856\pi\)
\(618\) −2.16215 7.81792i −0.0869744 0.314483i
\(619\) −19.4391 + 9.58630i −0.781323 + 0.385306i −0.788787 0.614666i \(-0.789291\pi\)
0.00746433 + 0.999972i \(0.497624\pi\)
\(620\) −1.29963 9.32603i −0.0521944 0.374542i
\(621\) 21.9511 + 29.8245i 0.880868 + 1.19682i
\(622\) 3.95292 + 10.3834i 0.158498 + 0.416335i
\(623\) −10.4575 + 2.80208i −0.418971 + 0.112263i
\(624\) −42.6342 + 16.9960i −1.70673 + 0.680384i
\(625\) −19.1857 5.14079i −0.767428 0.205632i
\(626\) 0.173925 + 1.69996i 0.00695146 + 0.0679441i
\(627\) 0.437514 0.616047i 0.0174726 0.0246025i
\(628\) 36.9803 0.279714i 1.47568 0.0111618i
\(629\) −3.14768 + 4.71083i −0.125506 + 0.187833i
\(630\) −3.52391 + 2.59115i −0.140396 + 0.103234i
\(631\) −17.7754 7.36282i −0.707628 0.293109i −0.000305632 1.00000i \(-0.500097\pi\)
−0.707323 + 0.706891i \(0.750097\pi\)
\(632\) −15.5159 10.8542i −0.617189 0.431758i
\(633\) 36.8798 + 22.7172i 1.46584 + 0.902928i
\(634\) −10.7770 + 3.31372i −0.428009 + 0.131605i
\(635\) 9.30107 8.15682i 0.369102 0.323694i
\(636\) 21.7562 13.8876i 0.862690 0.550678i
\(637\) 26.2385 1.71976i 1.03961 0.0681395i
\(638\) −7.19613 7.62522i −0.284897 0.301886i
\(639\) 29.6315 6.15559i 1.17220 0.243511i
\(640\) 4.70788 + 4.76711i 0.186095 + 0.188437i
\(641\) 13.1498 + 7.59202i 0.519384 + 0.299867i 0.736683 0.676239i \(-0.236391\pi\)
−0.217298 + 0.976105i \(0.569724\pi\)
\(642\) −5.27213 15.1314i −0.208074 0.597189i
\(643\) 18.0247 + 8.88880i 0.710825 + 0.350540i 0.761491 0.648176i \(-0.224468\pi\)
−0.0506660 + 0.998716i \(0.516134\pi\)
\(644\) 22.1715 11.1430i 0.873679 0.439097i
\(645\) −1.53226 4.97520i −0.0603328 0.195898i
\(646\) −0.748900 + 0.805678i −0.0294651 + 0.0316990i
\(647\) 13.0837 + 31.5869i 0.514375 + 1.24181i 0.941315 + 0.337530i \(0.109591\pi\)
−0.426940 + 0.904280i \(0.640409\pi\)
\(648\) −8.07568 24.1409i −0.317243 0.948344i
\(649\) −4.65904 + 11.2479i −0.182883 + 0.441519i
\(650\) −39.6070 + 18.1266i −1.55352 + 0.710982i
\(651\) 21.1896 + 11.2109i 0.830484 + 0.439388i
\(652\) −30.4975 17.3015i −1.19437 0.677578i
\(653\) −5.26659 15.5149i −0.206098 0.607144i 0.793902 0.608046i \(-0.208046\pi\)
−1.00000 0.000901842i \(0.999713\pi\)
\(654\) −25.3359 + 22.5810i −0.990714 + 0.882988i
\(655\) 5.39195 1.44477i 0.210681 0.0564518i
\(656\) −12.2542 + 21.9865i −0.478448 + 0.858428i
\(657\) −28.8715 18.9394i −1.12639 0.738896i
\(658\) 14.4303 5.49359i 0.562553 0.214162i
\(659\) 23.4496 26.7392i 0.913468 1.04161i −0.0855062 0.996338i \(-0.527251\pi\)
0.998975 0.0452735i \(-0.0144159\pi\)
\(660\) −3.65965 3.81609i −0.142452 0.148541i
\(661\) −3.45514 0.226462i −0.134390 0.00880836i −0.00194009 0.999998i \(-0.500618\pi\)
−0.132449 + 0.991190i \(0.542284\pi\)
\(662\) −0.618381 + 0.511418i −0.0240340 + 0.0198768i
\(663\) −51.2994 + 12.1908i −1.99230 + 0.473451i
\(664\) −7.19111 0.153765i −0.279069 0.00596723i
\(665\) 0.0667788 + 0.161218i 0.00258957 + 0.00625178i
\(666\) −5.07924 + 1.25015i −0.196817 + 0.0484422i
\(667\) −3.99937 20.1062i −0.154856 0.778515i
\(668\) 4.30099 + 0.821751i 0.166410 + 0.0317945i
\(669\) −23.1772 + 3.92753i −0.896081 + 0.151847i
\(670\) 1.75685 0.947613i 0.0678729 0.0366095i
\(671\) −34.3065 + 19.8069i −1.32439 + 0.764635i
\(672\) −16.8554 + 2.61725i −0.650211 + 0.100963i
\(673\) −12.5153 7.22573i −0.482431 0.278531i 0.238998 0.971020i \(-0.423181\pi\)
−0.721429 + 0.692489i \(0.756514\pi\)
\(674\) −38.4114 1.11206i −1.47955 0.0428348i
\(675\) −8.79657 22.5001i −0.338580 0.866027i
\(676\) −26.9014 + 55.6070i −1.03467 + 2.13873i
\(677\) −18.8312 6.39232i −0.723741 0.245677i −0.0648284 0.997896i \(-0.520650\pi\)
−0.658913 + 0.752219i \(0.728983\pi\)
\(678\) −2.76881 3.54909i −0.106336 0.136302i
\(679\) −11.7231 + 15.2778i −0.449889 + 0.586307i
\(680\) 4.55411 + 6.20533i 0.174642 + 0.237963i
\(681\) −15.6911 + 14.8216i −0.601283 + 0.567966i
\(682\) −10.1048 + 27.1590i −0.386934 + 1.03997i
\(683\) 4.26330 6.38048i 0.163131 0.244142i −0.740895 0.671621i \(-0.765598\pi\)
0.904025 + 0.427479i \(0.140598\pi\)
\(684\) −1.01219 + 0.0826655i −0.0387021 + 0.00316079i
\(685\) −9.92460 1.97413i −0.379199 0.0754275i
\(686\) 26.6622 + 4.29843i 1.01797 + 0.164115i
\(687\) −5.25681 + 32.7017i −0.200560 + 1.24765i
\(688\) 3.65891 19.9687i 0.139495 0.761299i
\(689\) 12.7753 47.6780i 0.486700 1.81639i
\(690\) −2.09809 10.1228i −0.0798728 0.385370i
\(691\) 14.2635 16.2644i 0.542609 0.618727i −0.413938 0.910305i \(-0.635847\pi\)
0.956547 + 0.291578i \(0.0941803\pi\)
\(692\) −14.2537 3.70394i −0.541843 0.140803i
\(693\) 13.3304 1.87005i 0.506379 0.0710372i
\(694\) 15.6681 22.0403i 0.594752 0.836640i
\(695\) 4.55165 + 5.93182i 0.172654 + 0.225007i
\(696\) −1.62143 + 13.9983i −0.0614600 + 0.530604i
\(697\) −17.6036 + 22.9415i −0.666785 + 0.868971i
\(698\) −4.51147 + 1.38719i −0.170762 + 0.0525060i
\(699\) 36.1689 11.1393i 1.36803 0.421327i
\(700\) −15.8527 + 3.27813i −0.599174 + 0.123902i
\(701\) 20.3401 13.5908i 0.768234 0.513317i −0.108615 0.994084i \(-0.534642\pi\)
0.876849 + 0.480766i \(0.159642\pi\)
\(702\) −42.5549 23.6419i −1.60613 0.892306i
\(703\) 0.208684i 0.00787067i
\(704\) −5.78709 19.7902i −0.218109 0.745870i
\(705\) −0.657651 6.39912i −0.0247686 0.241005i
\(706\) −12.0780 3.61399i −0.454561 0.136014i
\(707\) −2.87791 + 5.83582i −0.108235 + 0.219479i
\(708\) 15.6016 4.93447i 0.586342 0.185449i
\(709\) −4.30355 1.46086i −0.161623 0.0548637i 0.239455 0.970907i \(-0.423031\pi\)
−0.401078 + 0.916044i \(0.631364\pi\)
\(710\) −8.23517 1.88736i −0.309060 0.0708315i
\(711\) −1.48338 20.0294i −0.0556311 0.751161i
\(712\) −8.11508 + 15.6056i −0.304126 + 0.584844i
\(713\) −44.9506 + 34.4918i −1.68341 + 1.29173i
\(714\) −19.5955 + 0.157150i −0.733342 + 0.00588119i
\(715\) −10.0897 0.661312i −0.377332 0.0247317i
\(716\) 8.26774 + 29.9477i 0.308980 + 1.11920i
\(717\) 15.9233 7.29625i 0.594667 0.272484i
\(718\) −20.5965 28.5140i −0.768655 1.06413i
\(719\) 37.2416 37.2416i 1.38888 1.38888i 0.561194 0.827685i \(-0.310342\pi\)
0.827685 0.561194i \(-0.189658\pi\)
\(720\) −0.761030 + 7.06551i −0.0283619 + 0.263316i
\(721\) −4.07645 4.07645i −0.151815 0.151815i
\(722\) 4.27027 26.4875i 0.158923 0.985764i
\(723\) −5.23235 + 7.36747i −0.194593 + 0.273999i
\(724\) 19.8287 + 2.45807i 0.736929 + 0.0913535i
\(725\) −0.874681 + 13.3450i −0.0324848 + 0.495623i
\(726\) −2.84492 10.2867i −0.105585 0.381775i
\(727\) 6.57070 + 8.56310i 0.243694 + 0.317588i 0.899146 0.437649i \(-0.144189\pi\)
−0.655452 + 0.755237i \(0.727522\pi\)
\(728\) −20.4066 + 25.4489i −0.756318 + 0.943198i
\(729\) 14.4248 22.8238i 0.534252 0.845325i
\(730\) 5.12115 + 8.16644i 0.189542 + 0.302254i
\(731\) 7.49681 22.0849i 0.277280 0.816839i
\(732\) 50.0480 + 18.1654i 1.84983 + 0.671412i
\(733\) 14.8825 + 7.33924i 0.549698 + 0.271081i 0.695857 0.718180i \(-0.255025\pi\)
−0.146159 + 0.989261i \(0.546691\pi\)
\(734\) −26.0713 + 14.0625i −0.962311 + 0.519055i
\(735\) 1.66453 3.71549i 0.0613970 0.137048i
\(736\) 10.9713 38.7935i 0.404408 1.42995i
\(737\) −6.14299 −0.226280
\(738\) −26.2859 + 4.67147i −0.967596 + 0.171959i
\(739\) −4.30647 6.44509i −0.158416 0.237086i 0.743768 0.668438i \(-0.233037\pi\)
−0.902184 + 0.431352i \(0.858037\pi\)
\(740\) 1.43432 + 0.274043i 0.0527266 + 0.0100740i
\(741\) −1.32161 + 1.42311i −0.0485506 + 0.0522792i
\(742\) 8.58622 16.2109i 0.315210 0.595120i
\(743\) 11.8905 + 9.12387i 0.436219 + 0.334722i 0.803413 0.595422i \(-0.203015\pi\)
−0.367195 + 0.930144i \(0.619682\pi\)
\(744\) 36.6812 13.0925i 1.34480 0.479994i
\(745\) −8.03482 + 6.16533i −0.294373 + 0.225880i
\(746\) −14.6088 + 2.46871i −0.534865 + 0.0903858i
\(747\) −4.69541 6.01297i −0.171796 0.220003i
\(748\) −3.26941 23.4610i −0.119542 0.857820i
\(749\) −8.56221 7.50886i −0.312856 0.274368i
\(750\) −0.803417 + 13.9740i −0.0293366 + 0.510260i
\(751\) 14.2180 + 3.80970i 0.518822 + 0.139018i 0.508722 0.860931i \(-0.330118\pi\)
0.0101006 + 0.999949i \(0.496785\pi\)
\(752\) 9.24837 23.3192i 0.337253 0.850362i
\(753\) −23.8440 + 29.3064i −0.868924 + 1.06798i
\(754\) 15.7799 + 21.8459i 0.574670 + 0.795580i
\(755\) 0.694245 3.49021i 0.0252662 0.127022i
\(756\) −13.4528 12.0973i −0.489274 0.439976i
\(757\) −30.0771 20.0969i −1.09317 0.730433i −0.127926 0.991784i \(-0.540832\pi\)
−0.965244 + 0.261351i \(0.915832\pi\)
\(758\) 0.531412 + 1.16115i 0.0193018 + 0.0421749i
\(759\) −9.10627 + 30.4838i −0.330537 + 1.10649i
\(760\) 0.266454 + 0.0968494i 0.00966530 + 0.00351310i
\(761\) −39.7512 30.5022i −1.44098 1.10570i −0.975335 0.220731i \(-0.929156\pi\)
−0.465645 0.884972i \(-0.654178\pi\)
\(762\) 40.8445 + 30.8238i 1.47964 + 1.11663i
\(763\) −7.75338 + 22.8407i −0.280691 + 0.826890i
\(764\) 0.125998 2.17423i 0.00455846 0.0786608i
\(765\) −2.04610 + 7.90349i −0.0739769 + 0.285751i
\(766\) 2.31453 2.18429i 0.0836275 0.0789215i
\(767\) 15.6464 27.1003i 0.564959 0.978537i
\(768\) −15.3557 + 23.0695i −0.554100 + 0.832450i
\(769\) 23.6729 + 41.0027i 0.853668 + 1.47860i 0.877875 + 0.478889i \(0.158960\pi\)
−0.0242075 + 0.999707i \(0.507706\pi\)
\(770\) −3.60010 1.07723i −0.129739 0.0388206i
\(771\) 39.7743 + 14.7779i 1.43244 + 0.532211i
\(772\) −7.02849 4.61977i −0.252961