Properties

Label 370.2.q.f.103.5
Level $370$
Weight $2$
Character 370.103
Analytic conductor $2.954$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 370 = 2 \cdot 5 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 370.q (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.95446487479\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(8\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 103.5
Character \(\chi\) \(=\) 370.103
Dual form 370.2.q.f.97.5

$q$-expansion

\(f(q)\) \(=\) \(q+(0.500000 + 0.866025i) q^{2} +(-0.0267201 - 0.0997208i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(0.206483 - 2.22651i) q^{5} +(0.0730007 - 0.0730007i) q^{6} +(-0.571833 - 2.13411i) q^{7} -1.00000 q^{8} +(2.58885 - 1.49467i) q^{9} +O(q^{10})\) \(q+(0.500000 + 0.866025i) q^{2} +(-0.0267201 - 0.0997208i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(0.206483 - 2.22651i) q^{5} +(0.0730007 - 0.0730007i) q^{6} +(-0.571833 - 2.13411i) q^{7} -1.00000 q^{8} +(2.58885 - 1.49467i) q^{9} +(2.03146 - 0.934438i) q^{10} -2.16169i q^{11} +(0.0997208 + 0.0267201i) q^{12} +(0.466433 - 0.807886i) q^{13} +(1.56228 - 1.56228i) q^{14} +(-0.227547 + 0.0389020i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(-4.83629 + 2.79223i) q^{17} +(2.58885 + 1.49467i) q^{18} +(4.52305 - 1.21195i) q^{19} +(1.82498 + 1.29208i) q^{20} +(-0.197536 + 0.114047i) q^{21} +(1.87208 - 1.08084i) q^{22} +9.14220 q^{23} +(0.0267201 + 0.0997208i) q^{24} +(-4.91473 - 0.919474i) q^{25} +0.932867 q^{26} +(-0.437226 - 0.437226i) q^{27} +(2.13411 + 0.571833i) q^{28} +(-3.75539 + 3.75539i) q^{29} +(-0.147464 - 0.177610i) q^{30} +(2.61073 + 2.61073i) q^{31} +(0.500000 - 0.866025i) q^{32} +(-0.215565 + 0.0577605i) q^{33} +(-4.83629 - 2.79223i) q^{34} +(-4.86970 + 0.832537i) q^{35} +2.98934i q^{36} +(-5.95478 + 1.24118i) q^{37} +(3.31110 + 3.31110i) q^{38} +(-0.0930262 - 0.0249263i) q^{39} +(-0.206483 + 2.22651i) q^{40} +(0.618232 + 0.356936i) q^{41} +(-0.197536 - 0.114047i) q^{42} +1.79189 q^{43} +(1.87208 + 1.08084i) q^{44} +(-2.79335 - 6.07273i) q^{45} +(4.57110 + 7.91738i) q^{46} +(-0.916690 + 0.916690i) q^{47} +(-0.0730007 + 0.0730007i) q^{48} +(1.83475 - 1.05929i) q^{49} +(-1.66108 - 4.71602i) q^{50} +(0.407670 + 0.407670i) q^{51} +(0.466433 + 0.807886i) q^{52} +(-0.460907 + 1.72013i) q^{53} +(0.160036 - 0.597262i) q^{54} +(-4.81303 - 0.446352i) q^{55} +(0.571833 + 2.13411i) q^{56} +(-0.241713 - 0.418658i) q^{57} +(-5.12996 - 1.37457i) q^{58} +(0.639839 - 2.38791i) q^{59} +(0.0800833 - 0.216512i) q^{60} +(6.94753 - 1.86158i) q^{61} +(-0.955594 + 3.56633i) q^{62} +(-4.67018 - 4.67018i) q^{63} +1.00000 q^{64} +(-1.70246 - 1.20534i) q^{65} +(-0.157805 - 0.157805i) q^{66} +(-8.38887 + 2.24779i) q^{67} -5.58447i q^{68} +(-0.244280 - 0.911667i) q^{69} +(-3.15585 - 3.80101i) q^{70} +(-6.02963 + 10.4436i) q^{71} +(-2.58885 + 1.49467i) q^{72} +(-7.72337 + 7.72337i) q^{73} +(-4.05229 - 4.53640i) q^{74} +(0.0396314 + 0.514669i) q^{75} +(-1.21195 + 4.52305i) q^{76} +(-4.61328 + 1.23612i) q^{77} +(-0.0249263 - 0.0930262i) q^{78} +(12.3560 - 3.31077i) q^{79} +(-2.03146 + 0.934438i) q^{80} +(4.45209 - 7.71125i) q^{81} +0.713873i q^{82} +(0.483220 - 1.80340i) q^{83} -0.228095i q^{84} +(5.21834 + 11.3446i) q^{85} +(0.895944 + 1.55182i) q^{86} +(0.474835 + 0.274146i) q^{87} +2.16169i q^{88} +(-5.35452 - 1.43474i) q^{89} +(3.86246 - 5.45548i) q^{90} +(-1.99084 - 0.533444i) q^{91} +(-4.57110 + 7.91738i) q^{92} +(0.190585 - 0.330103i) q^{93} +(-1.25222 - 0.335532i) q^{94} +(-1.76448 - 10.3209i) q^{95} +(-0.0997208 - 0.0267201i) q^{96} -13.2375i q^{97} +(1.83475 + 1.05929i) q^{98} +(-3.23101 - 5.59628i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32 q + 16 q^{2} - 2 q^{3} - 16 q^{4} + 6 q^{5} + 8 q^{6} - 10 q^{7} - 32 q^{8} + 12 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 32 q + 16 q^{2} - 2 q^{3} - 16 q^{4} + 6 q^{5} + 8 q^{6} - 10 q^{7} - 32 q^{8} + 12 q^{9} + 6 q^{10} + 10 q^{12} + 10 q^{13} - 8 q^{14} - 8 q^{15} - 16 q^{16} - 12 q^{17} + 12 q^{18} + 2 q^{19} - 54 q^{21} + 6 q^{22} + 12 q^{23} + 2 q^{24} - 16 q^{25} + 20 q^{26} + 40 q^{27} + 2 q^{28} + 6 q^{29} + 8 q^{30} - 4 q^{31} + 16 q^{32} + 26 q^{33} - 12 q^{34} - 12 q^{35} + 20 q^{37} - 26 q^{38} - 58 q^{39} - 6 q^{40} + 18 q^{41} - 54 q^{42} - 32 q^{43} + 6 q^{44} + 56 q^{45} + 6 q^{46} + 18 q^{47} - 8 q^{48} - 12 q^{49} - 14 q^{50} - 4 q^{51} + 10 q^{52} - 24 q^{53} + 20 q^{54} - 32 q^{55} + 10 q^{56} + 8 q^{57} + 36 q^{58} + 42 q^{59} + 16 q^{60} - 46 q^{61} - 14 q^{62} + 32 q^{64} - 18 q^{65} + 4 q^{66} + 50 q^{67} - 66 q^{69} + 12 q^{70} - 12 q^{71} - 12 q^{72} - 28 q^{73} + 16 q^{74} - 20 q^{75} - 28 q^{76} + 12 q^{77} - 26 q^{78} + 38 q^{79} - 6 q^{80} + 56 q^{81} - 8 q^{85} - 16 q^{86} + 18 q^{87} + 18 q^{89} + 4 q^{90} + 4 q^{91} - 6 q^{92} + 32 q^{93} + 30 q^{94} + 96 q^{95} - 10 q^{96} - 12 q^{98} - 26 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).

\(n\) \(261\) \(297\)
\(\chi(n)\) \(e\left(\frac{7}{12}\right)\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.500000 + 0.866025i 0.353553 + 0.612372i
\(3\) −0.0267201 0.0997208i −0.0154269 0.0575738i 0.957783 0.287491i \(-0.0928211\pi\)
−0.973210 + 0.229917i \(0.926154\pi\)
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) 0.206483 2.22651i 0.0923420 0.995727i
\(6\) 0.0730007 0.0730007i 0.0298024 0.0298024i
\(7\) −0.571833 2.13411i −0.216133 0.806618i −0.985765 0.168130i \(-0.946227\pi\)
0.769632 0.638487i \(-0.220440\pi\)
\(8\) −1.00000 −0.353553
\(9\) 2.58885 1.49467i 0.862949 0.498224i
\(10\) 2.03146 0.934438i 0.642404 0.295495i
\(11\) 2.16169i 0.651774i −0.945409 0.325887i \(-0.894337\pi\)
0.945409 0.325887i \(-0.105663\pi\)
\(12\) 0.0997208 + 0.0267201i 0.0287869 + 0.00771343i
\(13\) 0.466433 0.807886i 0.129365 0.224067i −0.794066 0.607832i \(-0.792039\pi\)
0.923431 + 0.383765i \(0.125373\pi\)
\(14\) 1.56228 1.56228i 0.417536 0.417536i
\(15\) −0.227547 + 0.0389020i −0.0587524 + 0.0100445i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) −4.83629 + 2.79223i −1.17297 + 0.677216i −0.954379 0.298599i \(-0.903481\pi\)
−0.218595 + 0.975816i \(0.570147\pi\)
\(18\) 2.58885 + 1.49467i 0.610197 + 0.352297i
\(19\) 4.52305 1.21195i 1.03766 0.278040i 0.300515 0.953777i \(-0.402841\pi\)
0.737142 + 0.675737i \(0.236175\pi\)
\(20\) 1.82498 + 1.29208i 0.408077 + 0.288917i
\(21\) −0.197536 + 0.114047i −0.0431058 + 0.0248872i
\(22\) 1.87208 1.08084i 0.399128 0.230437i
\(23\) 9.14220 1.90628 0.953140 0.302529i \(-0.0978310\pi\)
0.953140 + 0.302529i \(0.0978310\pi\)
\(24\) 0.0267201 + 0.0997208i 0.00545422 + 0.0203554i
\(25\) −4.91473 0.919474i −0.982946 0.183895i
\(26\) 0.932867 0.182950
\(27\) −0.437226 0.437226i −0.0841442 0.0841442i
\(28\) 2.13411 + 0.571833i 0.403309 + 0.108066i
\(29\) −3.75539 + 3.75539i −0.697358 + 0.697358i −0.963840 0.266482i \(-0.914139\pi\)
0.266482 + 0.963840i \(0.414139\pi\)
\(30\) −0.147464 0.177610i −0.0269231 0.0324271i
\(31\) 2.61073 + 2.61073i 0.468901 + 0.468901i 0.901558 0.432657i \(-0.142424\pi\)
−0.432657 + 0.901558i \(0.642424\pi\)
\(32\) 0.500000 0.866025i 0.0883883 0.153093i
\(33\) −0.215565 + 0.0577605i −0.0375251 + 0.0100548i
\(34\) −4.83629 2.79223i −0.829417 0.478864i
\(35\) −4.86970 + 0.832537i −0.823129 + 0.140724i
\(36\) 2.98934i 0.498224i
\(37\) −5.95478 + 1.24118i −0.978961 + 0.204049i
\(38\) 3.31110 + 3.31110i 0.537131 + 0.537131i
\(39\) −0.0930262 0.0249263i −0.0148961 0.00399140i
\(40\) −0.206483 + 2.22651i −0.0326478 + 0.352043i
\(41\) 0.618232 + 0.356936i 0.0965516 + 0.0557441i 0.547498 0.836807i \(-0.315580\pi\)
−0.450947 + 0.892551i \(0.648914\pi\)
\(42\) −0.197536 0.114047i −0.0304804 0.0175979i
\(43\) 1.79189 0.273260 0.136630 0.990622i \(-0.456373\pi\)
0.136630 + 0.990622i \(0.456373\pi\)
\(44\) 1.87208 + 1.08084i 0.282226 + 0.162943i
\(45\) −2.79335 6.07273i −0.416409 0.905269i
\(46\) 4.57110 + 7.91738i 0.673972 + 1.16735i
\(47\) −0.916690 + 0.916690i −0.133713 + 0.133713i −0.770796 0.637083i \(-0.780141\pi\)
0.637083 + 0.770796i \(0.280141\pi\)
\(48\) −0.0730007 + 0.0730007i −0.0105367 + 0.0105367i
\(49\) 1.83475 1.05929i 0.262107 0.151327i
\(50\) −1.66108 4.71602i −0.234912 0.666946i
\(51\) 0.407670 + 0.407670i 0.0570852 + 0.0570852i
\(52\) 0.466433 + 0.807886i 0.0646827 + 0.112034i
\(53\) −0.460907 + 1.72013i −0.0633105 + 0.236278i −0.990329 0.138737i \(-0.955696\pi\)
0.927019 + 0.375015i \(0.122362\pi\)
\(54\) 0.160036 0.597262i 0.0217781 0.0812770i
\(55\) −4.81303 0.446352i −0.648989 0.0601861i
\(56\) 0.571833 + 2.13411i 0.0764144 + 0.285182i
\(57\) −0.241713 0.418658i −0.0320156 0.0554527i
\(58\) −5.12996 1.37457i −0.673596 0.180490i
\(59\) 0.639839 2.38791i 0.0832999 0.310880i −0.911687 0.410886i \(-0.865220\pi\)
0.994987 + 0.100006i \(0.0318862\pi\)
\(60\) 0.0800833 0.216512i 0.0103387 0.0279516i
\(61\) 6.94753 1.86158i 0.889540 0.238351i 0.215021 0.976609i \(-0.431018\pi\)
0.674518 + 0.738258i \(0.264351\pi\)
\(62\) −0.955594 + 3.56633i −0.121361 + 0.452924i
\(63\) −4.67018 4.67018i −0.588387 0.588387i
\(64\) 1.00000 0.125000
\(65\) −1.70246 1.20534i −0.211164 0.149503i
\(66\) −0.157805 0.157805i −0.0194244 0.0194244i
\(67\) −8.38887 + 2.24779i −1.02486 + 0.274612i −0.731828 0.681490i \(-0.761332\pi\)
−0.293037 + 0.956101i \(0.594666\pi\)
\(68\) 5.58447i 0.677216i
\(69\) −0.244280 0.911667i −0.0294079 0.109752i
\(70\) −3.15585 3.80101i −0.377196 0.454308i
\(71\) −6.02963 + 10.4436i −0.715586 + 1.23943i 0.247147 + 0.968978i \(0.420507\pi\)
−0.962733 + 0.270453i \(0.912826\pi\)
\(72\) −2.58885 + 1.49467i −0.305098 + 0.176149i
\(73\) −7.72337 + 7.72337i −0.903952 + 0.903952i −0.995775 0.0918231i \(-0.970731\pi\)
0.0918231 + 0.995775i \(0.470731\pi\)
\(74\) −4.05229 4.53640i −0.471069 0.527346i
\(75\) 0.0396314 + 0.514669i 0.00457624 + 0.0594289i
\(76\) −1.21195 + 4.52305i −0.139020 + 0.518829i
\(77\) −4.61328 + 1.23612i −0.525732 + 0.140870i
\(78\) −0.0249263 0.0930262i −0.00282235 0.0105331i
\(79\) 12.3560 3.31077i 1.39015 0.372491i 0.515355 0.856977i \(-0.327660\pi\)
0.874799 + 0.484486i \(0.160993\pi\)
\(80\) −2.03146 + 0.934438i −0.227124 + 0.104473i
\(81\) 4.45209 7.71125i 0.494677 0.856806i
\(82\) 0.713873i 0.0788341i
\(83\) 0.483220 1.80340i 0.0530403 0.197949i −0.934322 0.356431i \(-0.883993\pi\)
0.987362 + 0.158482i \(0.0506600\pi\)
\(84\) 0.228095i 0.0248872i
\(85\) 5.21834 + 11.3446i 0.566008 + 1.23050i
\(86\) 0.895944 + 1.55182i 0.0966122 + 0.167337i
\(87\) 0.474835 + 0.274146i 0.0509076 + 0.0293915i
\(88\) 2.16169i 0.230437i
\(89\) −5.35452 1.43474i −0.567578 0.152082i −0.0363922 0.999338i \(-0.511587\pi\)
−0.531185 + 0.847256i \(0.678253\pi\)
\(90\) 3.86246 5.45548i 0.407139 0.575058i
\(91\) −1.99084 0.533444i −0.208697 0.0559201i
\(92\) −4.57110 + 7.91738i −0.476570 + 0.825444i
\(93\) 0.190585 0.330103i 0.0197628 0.0342301i
\(94\) −1.25222 0.335532i −0.129157 0.0346075i
\(95\) −1.76448 10.3209i −0.181032 1.05890i
\(96\) −0.0997208 0.0267201i −0.0101777 0.00272711i
\(97\) 13.2375i 1.34407i −0.740521 0.672034i \(-0.765421\pi\)
0.740521 0.672034i \(-0.234579\pi\)
\(98\) 1.83475 + 1.05929i 0.185337 + 0.107005i
\(99\) −3.23101 5.59628i −0.324729 0.562447i
\(100\) 3.25365 3.79654i 0.325365 0.379654i
\(101\) 10.8961i 1.08421i 0.840312 + 0.542104i \(0.182372\pi\)
−0.840312 + 0.542104i \(0.817628\pi\)
\(102\) −0.149218 + 0.556888i −0.0147747 + 0.0551401i
\(103\) 12.6761i 1.24902i 0.781018 + 0.624508i \(0.214701\pi\)
−0.781018 + 0.624508i \(0.785299\pi\)
\(104\) −0.466433 + 0.807886i −0.0457376 + 0.0792198i
\(105\) 0.213140 + 0.463365i 0.0208003 + 0.0452198i
\(106\) −1.72013 + 0.460907i −0.167074 + 0.0447673i
\(107\) 1.32096 + 4.92988i 0.127702 + 0.476589i 0.999922 0.0125247i \(-0.00398683\pi\)
−0.872220 + 0.489114i \(0.837320\pi\)
\(108\) 0.597262 0.160036i 0.0574715 0.0153995i
\(109\) −0.305100 + 1.13865i −0.0292233 + 0.109063i −0.978997 0.203875i \(-0.934646\pi\)
0.949774 + 0.312938i \(0.101313\pi\)
\(110\) −2.01996 4.39138i −0.192596 0.418702i
\(111\) 0.282884 + 0.560651i 0.0268502 + 0.0532147i
\(112\) −1.56228 + 1.56228i −0.147621 + 0.147621i
\(113\) −11.9875 + 6.92097i −1.12769 + 0.651070i −0.943352 0.331794i \(-0.892346\pi\)
−0.184334 + 0.982864i \(0.559013\pi\)
\(114\) 0.241713 0.418658i 0.0226385 0.0392109i
\(115\) 1.88771 20.3552i 0.176030 1.89814i
\(116\) −1.37457 5.12996i −0.127625 0.476305i
\(117\) 2.78866i 0.257811i
\(118\) 2.38791 0.639839i 0.219825 0.0589020i
\(119\) 8.72449 + 8.72449i 0.799772 + 0.799772i
\(120\) 0.227547 0.0389020i 0.0207721 0.00355125i
\(121\) 6.32710 0.575191
\(122\) 5.08594 + 5.08594i 0.460460 + 0.460460i
\(123\) 0.0190748 0.0711880i 0.00171991 0.00641880i
\(124\) −3.56633 + 0.955594i −0.320265 + 0.0858149i
\(125\) −3.06203 + 10.7529i −0.273876 + 0.961765i
\(126\) 1.70940 6.37958i 0.152286 0.568338i
\(127\) 19.5349 + 5.23436i 1.73344 + 0.464474i 0.980971 0.194153i \(-0.0621959\pi\)
0.752469 + 0.658627i \(0.228863\pi\)
\(128\) 0.500000 + 0.866025i 0.0441942 + 0.0765466i
\(129\) −0.0478795 0.178689i −0.00421555 0.0157327i
\(130\) 0.192621 2.07704i 0.0168940 0.182169i
\(131\) 3.58187 13.3677i 0.312950 1.16794i −0.612934 0.790134i \(-0.710011\pi\)
0.925883 0.377810i \(-0.123323\pi\)
\(132\) 0.0577605 0.215565i 0.00502741 0.0187625i
\(133\) −5.17285 8.95965i −0.448543 0.776900i
\(134\) −6.14108 6.14108i −0.530509 0.530509i
\(135\) −1.06377 + 0.883210i −0.0915547 + 0.0760146i
\(136\) 4.83629 2.79223i 0.414709 0.239432i
\(137\) −7.86425 + 7.86425i −0.671888 + 0.671888i −0.958151 0.286263i \(-0.907587\pi\)
0.286263 + 0.958151i \(0.407587\pi\)
\(138\) 0.667387 0.667387i 0.0568117 0.0568117i
\(139\) 0.315020 + 0.545631i 0.0267197 + 0.0462798i 0.879076 0.476682i \(-0.158161\pi\)
−0.852356 + 0.522961i \(0.824827\pi\)
\(140\) 1.71385 4.63355i 0.144847 0.391607i
\(141\) 0.115907 + 0.0669190i 0.00976114 + 0.00563560i
\(142\) −12.0593 −1.01199
\(143\) −1.74640 1.00828i −0.146041 0.0843169i
\(144\) −2.58885 1.49467i −0.215737 0.124556i
\(145\) 7.58600 + 9.13685i 0.629983 + 0.758774i
\(146\) −10.5503 2.82695i −0.873151 0.233960i
\(147\) −0.154658 0.154658i −0.0127560 0.0127560i
\(148\) 1.90250 5.77759i 0.156384 0.474915i
\(149\) 12.0604i 0.988028i 0.869454 + 0.494014i \(0.164471\pi\)
−0.869454 + 0.494014i \(0.835529\pi\)
\(150\) −0.425901 + 0.291656i −0.0347747 + 0.0238136i
\(151\) 11.9725 + 6.91232i 0.974308 + 0.562517i 0.900547 0.434759i \(-0.143167\pi\)
0.0737609 + 0.997276i \(0.476500\pi\)
\(152\) −4.52305 + 1.21195i −0.366867 + 0.0983018i
\(153\) −8.34694 + 14.4573i −0.674810 + 1.16881i
\(154\) −3.37716 3.37716i −0.272139 0.272139i
\(155\) 6.35190 5.27376i 0.510197 0.423598i
\(156\) 0.0680999 0.0680999i 0.00545236 0.00545236i
\(157\) −13.4082 3.59272i −1.07009 0.286731i −0.319562 0.947565i \(-0.603536\pi\)
−0.750531 + 0.660835i \(0.770202\pi\)
\(158\) 9.04519 + 9.04519i 0.719597 + 0.719597i
\(159\) 0.183848 0.0145801
\(160\) −1.82498 1.29208i −0.144277 0.102148i
\(161\) −5.22781 19.5105i −0.412009 1.53764i
\(162\) 8.90419 0.699579
\(163\) 8.36087 4.82715i 0.654874 0.378092i −0.135447 0.990785i \(-0.543247\pi\)
0.790321 + 0.612693i \(0.209914\pi\)
\(164\) −0.618232 + 0.356936i −0.0482758 + 0.0278721i
\(165\) 0.0840941 + 0.491886i 0.00654672 + 0.0382933i
\(166\) 1.80340 0.483220i 0.139971 0.0375052i
\(167\) −9.85063 5.68727i −0.762265 0.440094i 0.0678435 0.997696i \(-0.478388\pi\)
−0.830108 + 0.557602i \(0.811721\pi\)
\(168\) 0.197536 0.114047i 0.0152402 0.00879894i
\(169\) 6.06488 + 10.5047i 0.466529 + 0.808052i
\(170\) −7.21556 + 10.1915i −0.553408 + 0.781654i
\(171\) 9.89801 9.89801i 0.756920 0.756920i
\(172\) −0.895944 + 1.55182i −0.0683151 + 0.118325i
\(173\) 11.7935 + 3.16007i 0.896647 + 0.240256i 0.677576 0.735453i \(-0.263031\pi\)
0.219071 + 0.975709i \(0.429697\pi\)
\(174\) 0.548292i 0.0415659i
\(175\) 0.848145 + 11.0144i 0.0641137 + 0.832607i
\(176\) −1.87208 + 1.08084i −0.141113 + 0.0814717i
\(177\) −0.255221 −0.0191836
\(178\) −1.43474 5.35452i −0.107538 0.401338i
\(179\) 4.60327 4.60327i 0.344065 0.344065i −0.513828 0.857893i \(-0.671773\pi\)
0.857893 + 0.513828i \(0.171773\pi\)
\(180\) 6.65581 + 0.617248i 0.496095 + 0.0460070i
\(181\) 11.8428 20.5123i 0.880268 1.52467i 0.0292251 0.999573i \(-0.490696\pi\)
0.851043 0.525096i \(-0.175971\pi\)
\(182\) −0.533444 1.99084i −0.0395415 0.147571i
\(183\) −0.371277 0.643071i −0.0274456 0.0475372i
\(184\) −9.14220 −0.673972
\(185\) 1.53395 + 13.5147i 0.112778 + 0.993620i
\(186\) 0.381170 0.0279488
\(187\) 6.03594 + 10.4546i 0.441392 + 0.764513i
\(188\) −0.335532 1.25222i −0.0244712 0.0913277i
\(189\) −0.683068 + 1.18311i −0.0496859 + 0.0860585i
\(190\) 8.05589 6.68852i 0.584436 0.485236i
\(191\) −15.7937 + 15.7937i −1.14279 + 1.14279i −0.154851 + 0.987938i \(0.549490\pi\)
−0.987938 + 0.154851i \(0.950510\pi\)
\(192\) −0.0267201 0.0997208i −0.00192836 0.00719673i
\(193\) 18.0709 1.30077 0.650384 0.759605i \(-0.274608\pi\)
0.650384 + 0.759605i \(0.274608\pi\)
\(194\) 11.4640 6.61876i 0.823070 0.475200i
\(195\) −0.0747071 + 0.201977i −0.00534988 + 0.0144639i
\(196\) 2.11858i 0.151327i
\(197\) 18.0287 + 4.83077i 1.28449 + 0.344178i 0.835566 0.549391i \(-0.185140\pi\)
0.448926 + 0.893569i \(0.351807\pi\)
\(198\) 3.23101 5.59628i 0.229618 0.397710i
\(199\) 1.40477 1.40477i 0.0995816 0.0995816i −0.655561 0.755142i \(-0.727568\pi\)
0.755142 + 0.655561i \(0.227568\pi\)
\(200\) 4.91473 + 0.919474i 0.347524 + 0.0650167i
\(201\) 0.448303 + 0.776484i 0.0316209 + 0.0547690i
\(202\) −9.43634 + 5.44807i −0.663939 + 0.383325i
\(203\) 10.1619 + 5.86696i 0.713223 + 0.411780i
\(204\) −0.556888 + 0.149218i −0.0389899 + 0.0104473i
\(205\) 0.922378 1.30280i 0.0644217 0.0909916i
\(206\) −10.9779 + 6.33806i −0.764863 + 0.441594i
\(207\) 23.6677 13.6646i 1.64502 0.949754i
\(208\) −0.932867 −0.0646827
\(209\) −2.61985 9.77742i −0.181219 0.676318i
\(210\) −0.294716 + 0.416267i −0.0203373 + 0.0287252i
\(211\) 16.2232 1.11685 0.558427 0.829554i \(-0.311405\pi\)
0.558427 + 0.829554i \(0.311405\pi\)
\(212\) −1.25922 1.25922i −0.0864837 0.0864837i
\(213\) 1.20256 + 0.322225i 0.0823980 + 0.0220785i
\(214\) −3.60892 + 3.60892i −0.246701 + 0.246701i
\(215\) 0.369995 3.98967i 0.0252334 0.272093i
\(216\) 0.437226 + 0.437226i 0.0297495 + 0.0297495i
\(217\) 4.07869 7.06449i 0.276879 0.479569i
\(218\) −1.13865 + 0.305100i −0.0771190 + 0.0206640i
\(219\) 0.976550 + 0.563811i 0.0659891 + 0.0380988i
\(220\) 2.79307 3.94503i 0.188309 0.265974i
\(221\) 5.20957i 0.350433i
\(222\) −0.344096 + 0.525311i −0.0230942 + 0.0352565i
\(223\) 3.11324 + 3.11324i 0.208478 + 0.208478i 0.803620 0.595142i \(-0.202904\pi\)
−0.595142 + 0.803620i \(0.702904\pi\)
\(224\) −2.13411 0.571833i −0.142591 0.0382072i
\(225\) −14.0978 + 4.96553i −0.939853 + 0.331035i
\(226\) −11.9875 6.92097i −0.797394 0.460376i
\(227\) −18.5445 10.7067i −1.23084 0.710627i −0.263637 0.964622i \(-0.584922\pi\)
−0.967206 + 0.253995i \(0.918255\pi\)
\(228\) 0.483425 0.0320156
\(229\) −13.3473 7.70608i −0.882015 0.509232i −0.0106930 0.999943i \(-0.503404\pi\)
−0.871322 + 0.490711i \(0.836737\pi\)
\(230\) 18.5720 8.54281i 1.22460 0.563296i
\(231\) 0.246535 + 0.427011i 0.0162208 + 0.0280952i
\(232\) 3.75539 3.75539i 0.246553 0.246553i
\(233\) −5.57317 + 5.57317i −0.365110 + 0.365110i −0.865690 0.500580i \(-0.833120\pi\)
0.500580 + 0.865690i \(0.333120\pi\)
\(234\) 2.41505 1.39433i 0.157877 0.0911501i
\(235\) 1.85174 + 2.23030i 0.120794 + 0.145489i
\(236\) 1.74807 + 1.74807i 0.113790 + 0.113790i
\(237\) −0.660305 1.14368i −0.0428914 0.0742901i
\(238\) −3.19338 + 11.9179i −0.206996 + 0.772521i
\(239\) −3.64592 + 13.6067i −0.235835 + 0.880147i 0.741936 + 0.670471i \(0.233908\pi\)
−0.977771 + 0.209677i \(0.932759\pi\)
\(240\) 0.147464 + 0.177610i 0.00951874 + 0.0114647i
\(241\) 5.18360 + 19.3455i 0.333905 + 1.24615i 0.905051 + 0.425302i \(0.139832\pi\)
−0.571146 + 0.820848i \(0.693501\pi\)
\(242\) 3.16355 + 5.47943i 0.203361 + 0.352231i
\(243\) −2.67972 0.718028i −0.171904 0.0460615i
\(244\) −1.86158 + 6.94753i −0.119176 + 0.444770i
\(245\) −1.97968 4.30381i −0.126477 0.274961i
\(246\) 0.0711880 0.0190748i 0.00453878 0.00121616i
\(247\) 1.13058 4.21940i 0.0719374 0.268474i
\(248\) −2.61073 2.61073i −0.165782 0.165782i
\(249\) −0.192748 −0.0122149
\(250\) −10.8433 + 2.72463i −0.685788 + 0.172321i
\(251\) −21.0945 21.0945i −1.33147 1.33147i −0.904055 0.427415i \(-0.859424\pi\)
−0.427415 0.904055i \(-0.640576\pi\)
\(252\) 6.37958 1.70940i 0.401876 0.107682i
\(253\) 19.7626i 1.24246i
\(254\) 5.23436 + 19.5349i 0.328433 + 1.22573i
\(255\) 0.991860 0.823506i 0.0621127 0.0515700i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −4.94342 + 2.85409i −0.308362 + 0.178033i −0.646193 0.763174i \(-0.723640\pi\)
0.337831 + 0.941207i \(0.390307\pi\)
\(258\) 0.130809 0.130809i 0.00814382 0.00814382i
\(259\) 6.05397 + 11.9984i 0.376175 + 0.745545i
\(260\) 1.89508 0.871706i 0.117528 0.0540609i
\(261\) −4.10905 + 15.3352i −0.254344 + 0.949225i
\(262\) 13.3677 3.58187i 0.825861 0.221289i
\(263\) −3.94489 14.7225i −0.243253 0.907831i −0.974254 0.225455i \(-0.927613\pi\)
0.731001 0.682376i \(-0.239053\pi\)
\(264\) 0.215565 0.0577605i 0.0132671 0.00355492i
\(265\) 3.73472 + 1.38139i 0.229422 + 0.0848584i
\(266\) 5.17285 8.95965i 0.317168 0.549351i
\(267\) 0.572293i 0.0350238i
\(268\) 2.24779 8.38887i 0.137306 0.512432i
\(269\) 19.0043i 1.15871i −0.815075 0.579356i \(-0.803304\pi\)
0.815075 0.579356i \(-0.196696\pi\)
\(270\) −1.29677 0.479646i −0.0789187 0.0291904i
\(271\) −10.0387 17.3876i −0.609809 1.05622i −0.991272 0.131836i \(-0.957913\pi\)
0.381462 0.924384i \(-0.375421\pi\)
\(272\) 4.83629 + 2.79223i 0.293243 + 0.169304i
\(273\) 0.212782i 0.0128781i
\(274\) −10.7428 2.87852i −0.648994 0.173898i
\(275\) −1.98762 + 10.6241i −0.119858 + 0.640658i
\(276\) 0.911667 + 0.244280i 0.0548759 + 0.0147040i
\(277\) 4.94567 8.56615i 0.297156 0.514690i −0.678328 0.734759i \(-0.737295\pi\)
0.975484 + 0.220069i \(0.0706284\pi\)
\(278\) −0.315020 + 0.545631i −0.0188937 + 0.0327248i
\(279\) 10.6610 + 2.85660i 0.638255 + 0.171020i
\(280\) 4.86970 0.832537i 0.291020 0.0497536i
\(281\) 6.02311 + 1.61389i 0.359309 + 0.0962765i 0.433957 0.900933i \(-0.357117\pi\)
−0.0746485 + 0.997210i \(0.523783\pi\)
\(282\) 0.133838i 0.00796994i
\(283\) 7.88244 + 4.55093i 0.468563 + 0.270525i 0.715638 0.698472i \(-0.246136\pi\)
−0.247075 + 0.968996i \(0.579469\pi\)
\(284\) −6.02963 10.4436i −0.357793 0.619716i
\(285\) −0.982058 + 0.451730i −0.0581721 + 0.0267582i
\(286\) 2.01657i 0.119242i
\(287\) 0.408216 1.52348i 0.0240962 0.0899284i
\(288\) 2.98934i 0.176149i
\(289\) 7.09315 12.2857i 0.417244 0.722688i
\(290\) −4.11974 + 11.1381i −0.241920 + 0.654052i
\(291\) −1.32006 + 0.353708i −0.0773831 + 0.0207347i
\(292\) −2.82695 10.5503i −0.165435 0.617411i
\(293\) −23.1383 + 6.19988i −1.35175 + 0.362201i −0.860781 0.508975i \(-0.830025\pi\)
−0.490971 + 0.871176i \(0.663358\pi\)
\(294\) 0.0566087 0.211267i 0.00330149 0.0123213i
\(295\) −5.18460 1.91767i −0.301859 0.111651i
\(296\) 5.95478 1.24118i 0.346115 0.0721424i
\(297\) −0.945147 + 0.945147i −0.0548430 + 0.0548430i
\(298\) −10.4446 + 6.03021i −0.605041 + 0.349321i
\(299\) 4.26423 7.38586i 0.246607 0.427135i
\(300\) −0.465532 0.223013i −0.0268775 0.0128756i
\(301\) −1.02466 3.82409i −0.0590605 0.220417i
\(302\) 13.8246i 0.795519i
\(303\) 1.08657 0.291146i 0.0624220 0.0167259i
\(304\) −3.31110 3.31110i −0.189905 0.189905i
\(305\) −2.71030 15.8532i −0.155191 0.907749i
\(306\) −16.6939 −0.954326
\(307\) −5.13771 5.13771i −0.293224 0.293224i 0.545128 0.838353i \(-0.316481\pi\)
−0.838353 + 0.545128i \(0.816481\pi\)
\(308\) 1.23612 4.61328i 0.0704348 0.262866i
\(309\) 1.26407 0.338707i 0.0719106 0.0192684i
\(310\) 7.74316 + 2.86403i 0.439782 + 0.162666i
\(311\) −2.14138 + 7.99173i −0.121426 + 0.453169i −0.999687 0.0250127i \(-0.992037\pi\)
0.878261 + 0.478182i \(0.158704\pi\)
\(312\) 0.0930262 + 0.0249263i 0.00526657 + 0.00141117i
\(313\) −15.5337 26.9052i −0.878017 1.52077i −0.853514 0.521070i \(-0.825533\pi\)
−0.0245033 0.999700i \(-0.507800\pi\)
\(314\) −3.59272 13.4082i −0.202749 0.756670i
\(315\) −11.3625 + 9.43391i −0.640206 + 0.531540i
\(316\) −3.31077 + 12.3560i −0.186245 + 0.695077i
\(317\) −3.12372 + 11.6579i −0.175445 + 0.654771i 0.821030 + 0.570885i \(0.193400\pi\)
−0.996475 + 0.0838862i \(0.973267\pi\)
\(318\) 0.0919241 + 0.159217i 0.00515485 + 0.00892846i
\(319\) 8.11798 + 8.11798i 0.454520 + 0.454520i
\(320\) 0.206483 2.22651i 0.0115427 0.124466i
\(321\) 0.456315 0.263454i 0.0254690 0.0147046i
\(322\) 14.2826 14.2826i 0.795941 0.795941i
\(323\) −18.4907 + 18.4907i −1.02885 + 1.02885i
\(324\) 4.45209 + 7.71125i 0.247339 + 0.428403i
\(325\) −3.03522 + 3.54167i −0.168364 + 0.196456i
\(326\) 8.36087 + 4.82715i 0.463066 + 0.267351i
\(327\) 0.121699 0.00672998
\(328\) −0.618232 0.356936i −0.0341362 0.0197085i
\(329\) 2.48051 + 1.43212i 0.136755 + 0.0789555i
\(330\) −0.383938 + 0.318770i −0.0211351 + 0.0175477i
\(331\) −25.4114 6.80897i −1.39674 0.374255i −0.519565 0.854431i \(-0.673906\pi\)
−0.877172 + 0.480176i \(0.840573\pi\)
\(332\) 1.32018 + 1.32018i 0.0724544 + 0.0724544i
\(333\) −13.5609 + 12.1137i −0.743130 + 0.663826i
\(334\) 11.3745i 0.622387i
\(335\) 3.27258 + 19.1421i 0.178800 + 1.04584i
\(336\) 0.197536 + 0.114047i 0.0107765 + 0.00622179i
\(337\) −5.83517 + 1.56353i −0.317862 + 0.0851709i −0.414223 0.910176i \(-0.635947\pi\)
0.0963604 + 0.995347i \(0.469280\pi\)
\(338\) −6.06488 + 10.5047i −0.329886 + 0.571379i
\(339\) 1.01047 + 1.01047i 0.0548812 + 0.0548812i
\(340\) −12.4339 1.15310i −0.674323 0.0625355i
\(341\) 5.64359 5.64359i 0.305617 0.305617i
\(342\) 13.5209 + 3.62292i 0.731128 + 0.195905i
\(343\) −14.2457 14.2457i −0.769198 0.769198i
\(344\) −1.79189 −0.0966122
\(345\) −2.08028 + 0.355650i −0.111998 + 0.0191476i
\(346\) 3.16007 + 11.7935i 0.169887 + 0.634025i
\(347\) 10.5674 0.567287 0.283643 0.958930i \(-0.408457\pi\)
0.283643 + 0.958930i \(0.408457\pi\)
\(348\) −0.474835 + 0.274146i −0.0254538 + 0.0146958i
\(349\) −21.8768 + 12.6306i −1.17104 + 0.676099i −0.953924 0.300047i \(-0.902998\pi\)
−0.217114 + 0.976146i \(0.569664\pi\)
\(350\) −9.11464 + 6.24169i −0.487198 + 0.333633i
\(351\) −0.557166 + 0.149292i −0.0297393 + 0.00796862i
\(352\) −1.87208 1.08084i −0.0997821 0.0576092i
\(353\) 8.58914 4.95894i 0.457154 0.263938i −0.253693 0.967285i \(-0.581645\pi\)
0.710847 + 0.703347i \(0.248312\pi\)
\(354\) −0.127610 0.221028i −0.00678242 0.0117475i
\(355\) 22.0079 + 15.5815i 1.16806 + 0.826980i
\(356\) 3.91978 3.91978i 0.207748 0.207748i
\(357\) 0.636894 1.10313i 0.0337080 0.0583839i
\(358\) 6.28819 + 1.68491i 0.332341 + 0.0890505i
\(359\) 15.2529i 0.805019i 0.915416 + 0.402510i \(0.131862\pi\)
−0.915416 + 0.402510i \(0.868138\pi\)
\(360\) 2.79335 + 6.07273i 0.147223 + 0.320061i
\(361\) 2.53465 1.46338i 0.133402 0.0770199i
\(362\) 23.6856 1.24489
\(363\) −0.169061 0.630944i −0.00887339 0.0331160i
\(364\) 1.45740 1.45740i 0.0763883 0.0763883i
\(365\) 15.6014 + 18.7909i 0.816617 + 0.983563i
\(366\) 0.371277 0.643071i 0.0194070 0.0336139i
\(367\) −1.52765 5.70127i −0.0797427 0.297604i 0.914524 0.404531i \(-0.132565\pi\)
−0.994267 + 0.106928i \(0.965899\pi\)
\(368\) −4.57110 7.91738i −0.238285 0.412722i
\(369\) 2.13401 0.111092
\(370\) −10.9371 + 8.08579i −0.568592 + 0.420360i
\(371\) 3.93451 0.204269
\(372\) 0.190585 + 0.330103i 0.00988138 + 0.0171151i
\(373\) −2.08177 7.76928i −0.107790 0.402278i 0.890857 0.454284i \(-0.150105\pi\)
−0.998647 + 0.0520065i \(0.983438\pi\)
\(374\) −6.03594 + 10.4546i −0.312111 + 0.540592i
\(375\) 1.15410 + 0.0180306i 0.0595975 + 0.000931097i
\(376\) 0.916690 0.916690i 0.0472747 0.0472747i
\(377\) 1.28229 + 4.78557i 0.0660412 + 0.246469i
\(378\) −1.36614 −0.0702665
\(379\) −21.9353 + 12.6643i −1.12674 + 0.650524i −0.943113 0.332472i \(-0.892117\pi\)
−0.183627 + 0.982996i \(0.558784\pi\)
\(380\) 9.82038 + 3.63235i 0.503775 + 0.186336i
\(381\) 2.08790i 0.106966i
\(382\) −21.5745 5.78088i −1.10385 0.295775i
\(383\) −2.85241 + 4.94052i −0.145751 + 0.252449i −0.929653 0.368436i \(-0.879893\pi\)
0.783902 + 0.620885i \(0.213227\pi\)
\(384\) 0.0730007 0.0730007i 0.00372530 0.00372530i
\(385\) 1.79969 + 10.5268i 0.0917205 + 0.536494i
\(386\) 9.03543 + 15.6498i 0.459891 + 0.796555i
\(387\) 4.63892 2.67828i 0.235810 0.136145i
\(388\) 11.4640 + 6.61876i 0.581998 + 0.336017i
\(389\) 3.86573 1.03582i 0.196000 0.0525181i −0.159483 0.987201i \(-0.550983\pi\)
0.355484 + 0.934683i \(0.384316\pi\)
\(390\) −0.212271 + 0.0362904i −0.0107488 + 0.00183764i
\(391\) −44.2143 + 25.5272i −2.23602 + 1.29096i
\(392\) −1.83475 + 1.05929i −0.0926687 + 0.0535023i
\(393\) −1.42875 −0.0720708
\(394\) 4.83077 + 18.0287i 0.243371 + 0.908273i
\(395\) −4.82018 28.1943i −0.242530 1.41861i
\(396\) 6.46203 0.324729
\(397\) 10.0898 + 10.0898i 0.506393 + 0.506393i 0.913417 0.407024i \(-0.133434\pi\)
−0.407024 + 0.913417i \(0.633434\pi\)
\(398\) 1.91895 + 0.514182i 0.0961884 + 0.0257736i
\(399\) −0.755244 + 0.755244i −0.0378095 + 0.0378095i
\(400\) 1.66108 + 4.71602i 0.0830538 + 0.235801i
\(401\) −9.90660 9.90660i −0.494712 0.494712i 0.415075 0.909787i \(-0.363755\pi\)
−0.909787 + 0.415075i \(0.863755\pi\)
\(402\) −0.448303 + 0.776484i −0.0223593 + 0.0387275i
\(403\) 3.32691 0.891442i 0.165725 0.0444059i
\(404\) −9.43634 5.44807i −0.469476 0.271052i
\(405\) −16.2499 11.5049i −0.807466 0.571683i
\(406\) 11.7339i 0.582344i
\(407\) 2.68305 + 12.8724i 0.132994 + 0.638061i
\(408\) −0.407670 0.407670i −0.0201827 0.0201827i
\(409\) −25.3152 6.78318i −1.25176 0.335407i −0.428741 0.903427i \(-0.641043\pi\)
−0.823014 + 0.568021i \(0.807709\pi\)
\(410\) 1.58945 + 0.147403i 0.0784972 + 0.00727970i
\(411\) 0.994363 + 0.574096i 0.0490483 + 0.0283181i
\(412\) −10.9779 6.33806i −0.540840 0.312254i
\(413\) −5.46195 −0.268765
\(414\) 23.6677 + 13.6646i 1.16321 + 0.671577i
\(415\) −3.91552 1.44827i −0.192206 0.0710927i
\(416\) −0.466433 0.807886i −0.0228688 0.0396099i
\(417\) 0.0459934 0.0459934i 0.00225231 0.00225231i
\(418\) 7.15757 7.15757i 0.350088 0.350088i
\(419\) −4.98984 + 2.88089i −0.243770 + 0.140741i −0.616908 0.787035i \(-0.711615\pi\)
0.373138 + 0.927776i \(0.378282\pi\)
\(420\) −0.507856 0.0470976i −0.0247808 0.00229813i
\(421\) −22.0327 22.0327i −1.07381 1.07381i −0.997050 0.0767578i \(-0.975543\pi\)
−0.0767578 0.997050i \(-0.524457\pi\)
\(422\) 8.11162 + 14.0497i 0.394867 + 0.683931i
\(423\) −1.00302 + 3.74332i −0.0487685 + 0.182006i
\(424\) 0.460907 1.72013i 0.0223836 0.0835369i
\(425\) 26.3365 9.27623i 1.27751 0.449963i
\(426\) 0.322225 + 1.20256i 0.0156118 + 0.0582642i
\(427\) −7.94565 13.7623i −0.384517 0.666003i
\(428\) −4.92988 1.32096i −0.238295 0.0638509i
\(429\) −0.0538829 + 0.201094i −0.00260149 + 0.00970889i
\(430\) 3.64015 1.67441i 0.175544 0.0807471i
\(431\) 2.42703 0.650322i 0.116906 0.0313249i −0.199892 0.979818i \(-0.564059\pi\)
0.316798 + 0.948493i \(0.397392\pi\)
\(432\) −0.160036 + 0.597262i −0.00769973 + 0.0287358i
\(433\) 14.2760 + 14.2760i 0.686059 + 0.686059i 0.961359 0.275299i \(-0.0887769\pi\)
−0.275299 + 0.961359i \(0.588777\pi\)
\(434\) 8.15737 0.391566
\(435\) 0.708435 1.00062i 0.0339669 0.0479760i
\(436\) −0.833549 0.833549i −0.0399197 0.0399197i
\(437\) 41.3506 11.0799i 1.97807 0.530021i
\(438\) 1.12762i 0.0538799i
\(439\) 2.25626 + 8.42047i 0.107685 + 0.401887i 0.998636 0.0522130i \(-0.0166275\pi\)
−0.890951 + 0.454100i \(0.849961\pi\)
\(440\) 4.81303 + 0.446352i 0.229452 + 0.0212790i
\(441\) 3.16658 5.48468i 0.150790 0.261175i
\(442\) −4.51162 + 2.60478i −0.214596 + 0.123897i
\(443\) 17.0281 17.0281i 0.809027 0.809027i −0.175459 0.984487i \(-0.556141\pi\)
0.984487 + 0.175459i \(0.0561410\pi\)
\(444\) −0.626980 0.0353406i −0.0297552 0.00167719i
\(445\) −4.30008 + 11.6257i −0.203843 + 0.551109i
\(446\) −1.13953 + 4.25277i −0.0539581 + 0.201374i
\(447\) 1.20267 0.322256i 0.0568846 0.0152422i
\(448\) −0.571833 2.13411i −0.0270166 0.100827i
\(449\) 0.766242 0.205314i 0.0361612 0.00968937i −0.240693 0.970601i \(-0.577375\pi\)
0.276854 + 0.960912i \(0.410708\pi\)
\(450\) −11.3492 9.72628i −0.535005 0.458501i
\(451\) 0.771586 1.33643i 0.0363325 0.0629298i
\(452\) 13.8419i 0.651070i
\(453\) 0.369396 1.37860i 0.0173557 0.0647725i
\(454\) 21.4134i 1.00498i
\(455\) −1.59879 + 4.32249i −0.0749527 + 0.202641i
\(456\) 0.241713 + 0.418658i 0.0113192 + 0.0196055i
\(457\) −24.6177 14.2130i −1.15157 0.664857i −0.202297 0.979324i \(-0.564841\pi\)
−0.949268 + 0.314468i \(0.898174\pi\)
\(458\) 15.4122i 0.720163i
\(459\) 3.33539 + 0.893715i 0.155683 + 0.0417151i
\(460\) 16.6843 + 11.8124i 0.777909 + 0.550757i
\(461\) −9.17243 2.45774i −0.427203 0.114469i 0.0388102 0.999247i \(-0.487643\pi\)
−0.466013 + 0.884778i \(0.654310\pi\)
\(462\) −0.246535 + 0.427011i −0.0114698 + 0.0198663i
\(463\) 6.89518 11.9428i 0.320446 0.555029i −0.660134 0.751148i \(-0.729501\pi\)
0.980580 + 0.196119i \(0.0628339\pi\)
\(464\) 5.12996 + 1.37457i 0.238152 + 0.0638127i
\(465\) −0.695627 0.492501i −0.0322589 0.0228392i
\(466\) −7.61309 2.03992i −0.352670 0.0944975i
\(467\) 37.7134i 1.74517i −0.488466 0.872583i \(-0.662443\pi\)
0.488466 0.872583i \(-0.337557\pi\)
\(468\) 2.41505 + 1.39433i 0.111636 + 0.0644529i
\(469\) 9.59407 + 16.6174i 0.443013 + 0.767321i
\(470\) −1.00563 + 2.71881i −0.0463862 + 0.125409i
\(471\) 1.43308i 0.0660327i
\(472\) −0.639839 + 2.38791i −0.0294510 + 0.109913i
\(473\) 3.87351i 0.178104i
\(474\) 0.660305 1.14368i 0.0303288 0.0525311i
\(475\) −23.3439 + 1.79756i −1.07109 + 0.0824779i
\(476\) −11.9179 + 3.19338i −0.546255 + 0.146369i
\(477\) 1.37781 + 5.14206i 0.0630856 + 0.235439i
\(478\) −13.6067 + 3.64592i −0.622358 + 0.166760i
\(479\) −0.942768 + 3.51846i −0.0430761 + 0.160762i −0.984114 0.177540i \(-0.943186\pi\)
0.941037 + 0.338303i \(0.109853\pi\)
\(480\) −0.0800833 + 0.216512i −0.00365529 + 0.00988240i
\(481\) −1.77477 + 5.38972i −0.0809227 + 0.245750i
\(482\) −14.1619 + 14.1619i −0.645055 + 0.645055i
\(483\) −1.80591 + 1.04264i −0.0821718 + 0.0474419i
\(484\) −3.16355 + 5.47943i −0.143798 + 0.249065i
\(485\) −29.4735 2.73332i −1.33832 0.124114i
\(486\) −0.718028 2.67972i −0.0325704 0.121554i
\(487\) 1.17023i 0.0530284i −0.999648 0.0265142i \(-0.991559\pi\)
0.999648 0.0265142i \(-0.00844071\pi\)
\(488\) −6.94753 + 1.86158i −0.314500 + 0.0842700i
\(489\) −0.704771 0.704771i −0.0318708 0.0318708i
\(490\) 2.73737 3.86636i 0.123662 0.174664i
\(491\) −17.8819 −0.807001 −0.403500 0.914979i \(-0.632207\pi\)
−0.403500 + 0.914979i \(0.632207\pi\)
\(492\) 0.0521132 + 0.0521132i 0.00234945 + 0.00234945i
\(493\) 7.67623 28.6481i 0.345720 1.29025i
\(494\) 4.21940 1.13058i 0.189840 0.0508674i
\(495\) −13.1273 + 6.03836i −0.590030 + 0.271404i
\(496\) 0.955594 3.56633i 0.0429074 0.160133i
\(497\) 25.7358 + 6.89589i 1.15441 + 0.309323i
\(498\) −0.0963742 0.166925i −0.00431863 0.00748009i
\(499\) −1.44413 5.38957i −0.0646482 0.241270i 0.926039 0.377428i \(-0.123191\pi\)
−0.990687 + 0.136158i \(0.956525\pi\)
\(500\) −7.78123 8.02823i −0.347987 0.359033i
\(501\) −0.303929 + 1.13428i −0.0135785 + 0.0506758i
\(502\) 7.72111 28.8156i 0.344610 1.28610i
\(503\) 4.36133 + 7.55404i 0.194462 + 0.336818i 0.946724 0.322046i \(-0.104371\pi\)
−0.752262 + 0.658864i \(0.771037\pi\)
\(504\) 4.67018 + 4.67018i 0.208026 + 0.208026i
\(505\) 24.2604 + 2.24987i 1.07957 + 0.100118i
\(506\) 17.1149 9.88129i 0.760850 0.439277i
\(507\) 0.885481 0.885481i 0.0393256 0.0393256i
\(508\) −14.3005 + 14.3005i −0.634483 + 0.634483i
\(509\) −7.64937 13.2491i −0.339052 0.587256i 0.645202 0.764012i \(-0.276773\pi\)
−0.984255 + 0.176756i \(0.943440\pi\)
\(510\) 1.20911 + 0.447223i 0.0535402 + 0.0198034i
\(511\) 20.8990 + 12.0660i 0.924517 + 0.533770i
\(512\) −1.00000 −0.0441942
\(513\) −2.50749 1.44770i −0.110708 0.0639175i
\(514\) −4.94342 2.85409i −0.218045 0.125888i
\(515\) 28.2236 + 2.61740i 1.24368 + 0.115337i
\(516\) 0.178689 + 0.0478795i 0.00786633 + 0.00210778i
\(517\) 1.98160 + 1.98160i 0.0871506 + 0.0871506i
\(518\) −7.36395 + 11.2421i −0.323553 + 0.493949i
\(519\) 1.26050i 0.0553298i
\(520\) 1.70246 + 1.20534i 0.0746578 + 0.0528574i
\(521\) 36.6921 + 21.1842i 1.60751 + 0.928097i 0.989925 + 0.141593i \(0.0452224\pi\)
0.617585 + 0.786504i \(0.288111\pi\)
\(522\) −15.3352 + 4.10905i −0.671203 + 0.179848i
\(523\) 18.9503 32.8229i 0.828640 1.43525i −0.0704660 0.997514i \(-0.522449\pi\)
0.899106 0.437732i \(-0.144218\pi\)
\(524\) 9.78586 + 9.78586i 0.427497 + 0.427497i
\(525\) 1.07570 0.378882i 0.0469473 0.0165358i
\(526\) 10.7776 10.7776i 0.469928 0.469928i
\(527\) −19.9160 5.33649i −0.867556 0.232461i
\(528\) 0.157805 + 0.157805i 0.00686757 + 0.00686757i
\(529\) 60.5798 2.63390
\(530\) 0.671039 + 3.92506i 0.0291481 + 0.170494i
\(531\) −1.91270 7.13828i −0.0830040 0.309775i
\(532\) 10.3457 0.448543
\(533\) 0.576728 0.332974i 0.0249809 0.0144227i
\(534\) −0.495620 + 0.286146i −0.0214476 + 0.0123828i
\(535\) 11.2492 1.92319i 0.486345 0.0831469i
\(536\) 8.38887 2.24779i 0.362344 0.0970898i
\(537\) −0.582042 0.336042i −0.0251170 0.0145013i
\(538\) 16.4582 9.50215i 0.709563 0.409667i
\(539\) −2.28986 3.96615i −0.0986311 0.170834i
\(540\) −0.232998 1.36286i −0.0100266 0.0586480i
\(541\) 14.5675 14.5675i 0.626305 0.626305i −0.320832 0.947136i \(-0.603962\pi\)
0.947136 + 0.320832i \(0.103962\pi\)
\(542\) 10.0387 17.3876i 0.431200 0.746861i
\(543\) −2.36195 0.632881i −0.101361 0.0271595i
\(544\) 5.58447i 0.239432i
\(545\) 2.47222 + 0.914421i 0.105898 + 0.0391695i
\(546\) −0.184274 + 0.106391i −0.00788622 + 0.00455311i
\(547\) −4.94178 −0.211295 −0.105648 0.994404i \(-0.533692\pi\)
−0.105648 + 0.994404i \(0.533692\pi\)
\(548\) −2.87852 10.7428i −0.122964 0.458908i
\(549\) 15.2036 15.2036i 0.648875 0.648875i
\(550\) −10.1946 + 3.59073i −0.434698 + 0.153109i
\(551\) −12.4345 + 21.5371i −0.529726 + 0.917512i
\(552\) 0.244280 + 0.911667i 0.0103973 + 0.0388031i
\(553\) −14.1311 24.4758i −0.600915 1.04082i
\(554\) 9.89133 0.420243
\(555\) 1.30671 0.514081i 0.0554667 0.0218215i
\(556\) −0.630040 −0.0267197
\(557\) 21.0873 + 36.5242i 0.893497 + 1.54758i 0.835654 + 0.549256i \(0.185089\pi\)
0.0578426 + 0.998326i \(0.481578\pi\)
\(558\) 2.85660 + 10.6610i 0.120929 + 0.451315i
\(559\) 0.835797 1.44764i 0.0353504 0.0612287i
\(560\) 3.15585 + 3.80101i 0.133359 + 0.160622i
\(561\) 0.881256 0.881256i 0.0372066 0.0372066i
\(562\) 1.61389 + 6.02311i 0.0680778 + 0.254070i
\(563\) 32.2486 1.35912 0.679559 0.733621i \(-0.262171\pi\)
0.679559 + 0.733621i \(0.262171\pi\)
\(564\) −0.115907 + 0.0669190i −0.00488057 + 0.00281780i
\(565\) 12.9344 + 28.1193i 0.544155 + 1.18299i
\(566\) 9.10186i 0.382580i
\(567\) −19.0025 5.09171i −0.798031 0.213832i
\(568\) 6.02963 10.4436i 0.252998 0.438205i
\(569\) −29.4533 + 29.4533i −1.23475 + 1.23475i −0.272625 + 0.962120i \(0.587892\pi\)
−0.962120 + 0.272625i \(0.912108\pi\)
\(570\) −0.882239 0.624622i −0.0369529 0.0261625i
\(571\) 15.8008 + 27.3678i 0.661243 + 1.14531i 0.980289 + 0.197568i \(0.0633043\pi\)
−0.319046 + 0.947739i \(0.603362\pi\)
\(572\) 1.74640 1.00828i 0.0730206 0.0421585i
\(573\) 1.99696 + 1.15295i 0.0834243 + 0.0481651i
\(574\) 1.52348 0.408216i 0.0635890 0.0170386i
\(575\) −44.9314 8.40602i −1.87377 0.350555i
\(576\) 2.58885 1.49467i 0.107869 0.0622780i
\(577\) 7.73904 4.46813i 0.322180 0.186011i −0.330184 0.943917i \(-0.607111\pi\)
0.652364 + 0.757906i \(0.273777\pi\)
\(578\) 14.1863 0.590072
\(579\) −0.482855 1.80204i −0.0200668 0.0748902i
\(580\) −11.7057 + 2.00125i −0.486055 + 0.0830972i
\(581\) −4.12498 −0.171133
\(582\) −0.966348 0.966348i −0.0400564 0.0400564i
\(583\) 3.71838 + 0.996338i 0.154000 + 0.0412641i
\(584\) 7.72337 7.72337i 0.319595 0.319595i
\(585\) −6.20898 0.575810i −0.256710 0.0238068i
\(586\) −16.9384 16.9384i −0.699718 0.699718i
\(587\) 14.2169 24.6243i 0.586793 1.01636i −0.407856 0.913046i \(-0.633723\pi\)
0.994649 0.103309i \(-0.0329432\pi\)
\(588\) 0.211267 0.0566087i 0.00871249 0.00233450i
\(589\) 14.9725 + 8.64439i 0.616932 + 0.356186i
\(590\) −0.931547 5.44883i −0.0383512 0.224325i
\(591\) 1.92691i 0.0792627i
\(592\) 4.05229 + 4.53640i 0.166548 + 0.186445i
\(593\) −16.0994 16.0994i −0.661124 0.661124i 0.294521 0.955645i \(-0.404840\pi\)
−0.955645 + 0.294521i \(0.904840\pi\)
\(594\) −1.29109 0.345948i −0.0529742 0.0141944i
\(595\) 21.2267 17.6237i 0.870208 0.722503i
\(596\) −10.4446 6.03021i −0.427829 0.247007i
\(597\) −0.177621 0.102549i −0.00726952 0.00419706i
\(598\) 8.52845 0.348754
\(599\) −24.0280 13.8726i −0.981758 0.566818i −0.0789578 0.996878i \(-0.525159\pi\)
−0.902801 + 0.430059i \(0.858493\pi\)
\(600\) −0.0396314 0.514669i −0.00161794 0.0210113i
\(601\) 6.12097 + 10.6018i 0.249680 + 0.432458i 0.963437 0.267935i \(-0.0863413\pi\)
−0.713757 + 0.700393i \(0.753008\pi\)
\(602\) 2.79943 2.79943i 0.114096 0.114096i
\(603\) −18.3578 + 18.3578i −0.747587 + 0.747587i
\(604\) −11.9725 + 6.91232i −0.487154 + 0.281258i
\(605\) 1.30644 14.0874i 0.0531143 0.572734i
\(606\) 0.795426 + 0.795426i 0.0323120 + 0.0323120i
\(607\) 17.9940 + 31.1665i 0.730354 + 1.26501i 0.956732 + 0.290971i \(0.0939784\pi\)
−0.226377 + 0.974040i \(0.572688\pi\)
\(608\) 1.21195 4.52305i 0.0491509 0.183434i
\(609\) 0.313531 1.17012i 0.0127049 0.0474155i
\(610\) 12.3741 10.2738i 0.501012 0.415972i
\(611\) 0.313006 + 1.16816i 0.0126629 + 0.0472585i
\(612\) −8.34694 14.4573i −0.337405 0.584403i
\(613\) 10.4914 + 2.81116i 0.423743 + 0.113542i 0.464387 0.885632i \(-0.346275\pi\)
−0.0406447 + 0.999174i \(0.512941\pi\)
\(614\) 1.88053 7.01824i 0.0758921 0.283233i
\(615\) −0.154562 0.0571693i −0.00623256 0.00230529i
\(616\) 4.61328 1.23612i 0.185874 0.0498049i
\(617\) 1.95778 7.30652i 0.0788171 0.294149i −0.915255 0.402876i \(-0.868011\pi\)
0.994072 + 0.108727i \(0.0346773\pi\)
\(618\) 0.925366 + 0.925366i 0.0372237 + 0.0372237i
\(619\) 5.36196 0.215515 0.107758 0.994177i \(-0.465633\pi\)
0.107758 + 0.994177i \(0.465633\pi\)
\(620\) 1.39126 + 8.13779i 0.0558743 + 0.326821i
\(621\) −3.99721 3.99721i −0.160402 0.160402i
\(622\) −7.99173 + 2.14138i −0.320439 + 0.0858614i
\(623\) 12.2476i 0.490688i
\(624\) 0.0249263 + 0.0930262i 0.000997850 + 0.00372403i
\(625\) 23.3091 + 9.03794i 0.932365 + 0.361517i
\(626\) 15.5337 26.9052i 0.620852 1.07535i
\(627\) −0.905009 + 0.522507i −0.0361426 + 0.0208669i
\(628\) 9.81550 9.81550i 0.391681 0.391681i
\(629\) 25.3334 22.6299i 1.01011 0.902313i
\(630\) −13.8513 5.12329i −0.551848 0.204117i
\(631\) −9.37285 + 34.9800i −0.373127 + 1.39253i 0.482934 + 0.875657i \(0.339571\pi\)
−0.856062 + 0.516874i \(0.827096\pi\)
\(632\) −12.3560 + 3.31077i −0.491494 + 0.131695i
\(633\) −0.433487 1.61779i −0.0172295 0.0643015i
\(634\) −11.6579 + 3.12372i −0.462993 + 0.124059i
\(635\) 15.6880 42.4139i 0.622559 1.68314i
\(636\) −0.0919241 + 0.159217i −0.00364503 + 0.00631337i
\(637\) 1.97635i 0.0783060i
\(638\) −2.97139 + 11.0894i −0.117638 + 0.439032i
\(639\) 36.0493i 1.42609i
\(640\) 2.03146 0.934438i 0.0803005 0.0369369i
\(641\) −10.7192 18.5662i −0.423384 0.733323i 0.572884 0.819637i \(-0.305825\pi\)
−0.996268 + 0.0863138i \(0.972491\pi\)
\(642\) 0.456315 + 0.263454i 0.0180093 + 0.0103977i
\(643\) 0.739740i 0.0291725i 0.999894 + 0.0145862i \(0.00464311\pi\)
−0.999894 + 0.0145862i \(0.995357\pi\)
\(644\) 19.5105 + 5.22781i 0.768820 + 0.206005i
\(645\) −0.407739 + 0.0697081i −0.0160547 + 0.00274476i
\(646\) −25.2588 6.76808i −0.993795 0.266286i
\(647\) 14.1176 24.4524i 0.555019 0.961322i −0.442883 0.896580i \(-0.646044\pi\)
0.997902 0.0647421i \(-0.0206225\pi\)
\(648\) −4.45209 + 7.71125i −0.174895 + 0.302927i
\(649\) −5.16192 1.38313i −0.202623 0.0542927i
\(650\) −4.58479 0.857747i −0.179830 0.0336436i
\(651\) −0.813459 0.217966i −0.0318820 0.00854275i
\(652\) 9.65430i 0.378092i
\(653\) −0.725000 0.418579i −0.0283715 0.0163803i 0.485747 0.874099i \(-0.338548\pi\)
−0.514119 + 0.857719i \(0.671881\pi\)
\(654\) 0.0608496 + 0.105395i 0.00237941 + 0.00412126i
\(655\) −29.0238 10.7353i −1.13406 0.419463i
\(656\) 0.713873i 0.0278721i
\(657\) −8.45072 + 31.5385i −0.329694 + 1.23043i
\(658\) 2.86425i 0.111660i
\(659\) 16.9248 29.3146i 0.659297 1.14194i −0.321501 0.946909i \(-0.604187\pi\)
0.980798 0.195026i \(-0.0624793\pi\)
\(660\) −0.468033 0.173115i −0.0182181 0.00673850i
\(661\) 6.42042 1.72035i 0.249725 0.0669137i −0.131785 0.991278i \(-0.542071\pi\)
0.381510 + 0.924365i \(0.375404\pi\)
\(662\) −6.80897 25.4114i −0.264638 0.987642i
\(663\) 0.519502 0.139200i 0.0201758 0.00540609i
\(664\) −0.483220 + 1.80340i −0.0187526 + 0.0699856i
\(665\) −21.0169 + 9.66742i −0.815000 + 0.374886i
\(666\) −17.2712 5.68721i −0.669245 0.220375i
\(667\) −34.3325 + 34.3325i −1.32936 + 1.32936i
\(668\) 9.85063 5.68727i 0.381132 0.220047i
\(669\) 0.227269 0.393641i 0.00878672 0.0152190i
\(670\) −14.9412 + 12.4052i −0.577230 + 0.479254i
\(671\) −4.02417 15.0184i −0.155351 0.579778i
\(672\) 0.228095i 0.00879894i
\(673\) 22.9801 6.15749i 0.885816 0.237354i 0.212901 0.977074i \(-0.431709\pi\)
0.672915 + 0.739720i \(0.265042\pi\)
\(674\) −4.27164 4.27164i −0.164538 0.164538i
\(675\) 1.74683 + 2.55087i 0.0672355 + 0.0981829i
\(676\) −12.1298 −0.466529
\(677\) −21.0110 21.0110i −0.807519 0.807519i 0.176739 0.984258i \(-0.443445\pi\)
−0.984258 + 0.176739i \(0.943445\pi\)
\(678\) −0.369858 + 1.38033i −0.0142043 + 0.0530112i
\(679\) −28.2503 + 7.56965i −1.08415 + 0.290497i
\(680\) −5.21834 11.3446i −0.200114 0.435046i
\(681\) −0.572167 + 2.13536i −0.0219255 + 0.0818270i
\(682\) 7.70929 + 2.06570i 0.295204 + 0.0790996i
\(683\) 2.68519 + 4.65089i 0.102746 + 0.177961i 0.912815 0.408373i \(-0.133904\pi\)
−0.810069 + 0.586334i \(0.800570\pi\)
\(684\) 3.62292 + 13.5209i 0.138526 + 0.516986i
\(685\) 15.8860 + 19.1337i 0.606974 + 0.731061i
\(686\) 5.21431 19.4601i 0.199083 0.742988i
\(687\) −0.411814 + 1.53691i −0.0157117 + 0.0586368i
\(688\) −0.895944 1.55182i −0.0341576 0.0591626i
\(689\) 1.17469 + 1.17469i 0.0447520 + 0.0447520i
\(690\) −1.34814 1.62375i −0.0513229 0.0618151i
\(691\) 0.793456 0.458102i 0.0301845 0.0174270i −0.484832 0.874607i \(-0.661119\pi\)
0.515016 + 0.857180i \(0.327786\pi\)
\(692\) −8.63348 + 8.63348i −0.328196 + 0.328196i
\(693\) −10.0955 + 10.0955i −0.383495 + 0.383495i
\(694\) 5.28369 + 9.15162i 0.200566 + 0.347391i
\(695\) 1.27990 0.588733i 0.0485494 0.0223319i
\(696\) −0.474835 0.274146i −0.0179986 0.0103915i
\(697\) −3.98660 −0.151003
\(698\) −21.8768 12.6306i −0.828049 0.478074i
\(699\) 0.704676 + 0.406845i 0.0266533 + 0.0153883i
\(700\) −9.96279 4.77266i −0.376558 0.180390i
\(701\) −5.09773 1.36593i −0.192539 0.0515906i 0.161261 0.986912i \(-0.448444\pi\)
−0.353800 + 0.935321i \(0.615111\pi\)
\(702\) −0.407874 0.407874i −0.0153942 0.0153942i
\(703\) −25.4295 + 12.8308i −0.959092 + 0.483923i
\(704\) 2.16169i 0.0814717i
\(705\) 0.172929 0.244251i 0.00651288 0.00919903i
\(706\) 8.58914 + 4.95894i 0.323257 + 0.186632i
\(707\) 23.2536 6.23078i 0.874541 0.234332i
\(708\) 0.127610 0.221028i 0.00479590 0.00830674i
\(709\) −29.3850 29.3850i −1.10358 1.10358i −0.993976 0.109600i \(-0.965043\pi\)
−0.109600 0.993976i \(-0.534957\pi\)
\(710\) −2.49003 + 26.8501i −0.0934493 + 1.00767i
\(711\) 27.0392 27.0392i 1.01405 1.01405i
\(712\) 5.35452 + 1.43474i 0.200669 + 0.0537691i
\(713\) 23.8678 + 23.8678i 0.893857 + 0.893857i
\(714\) 1.27379 0.0476703
\(715\) −2.60556 + 3.68019i −0.0974424 + 0.137631i
\(716\) 1.68491 + 6.28819i 0.0629682 + 0.235001i
\(717\) 1.45429 0.0543116
\(718\) −13.2094 + 7.62647i −0.492972 + 0.284617i
\(719\) −11.6903 + 6.74940i −0.435975 + 0.251710i −0.701889 0.712287i \(-0.747660\pi\)
0.265914 + 0.963997i \(0.414326\pi\)
\(720\) −3.86246 + 5.45548i −0.143945 + 0.203314i
\(721\) 27.0523 7.24863i 1.00748 0.269953i
\(722\) 2.53465 + 1.46338i 0.0943298 + 0.0544613i
\(723\) 1.79064 1.03383i 0.0665946 0.0384484i
\(724\) 11.8428 + 20.5123i 0.440134 + 0.762335i
\(725\) 21.9097 15.0037i 0.813706 0.557225i
\(726\) 0.461883 0.461883i 0.0171421 0.0171421i
\(727\) −22.6609 + 39.2498i −0.840445 + 1.45569i 0.0490736 + 0.998795i \(0.484373\pi\)
−0.889519 + 0.456899i \(0.848960\pi\)
\(728\) 1.99084 + 0.533444i 0.0737854 + 0.0197707i
\(729\) 26.4262i 0.978747i
\(730\) −8.47271 + 22.9067i −0.313589 + 0.847816i
\(731\) −8.66610 + 5.00337i −0.320527 + 0.185056i
\(732\) 0.742555 0.0274456
\(733\) 12.4626 + 46.5110i 0.460316 + 1.71792i 0.671971 + 0.740578i \(0.265448\pi\)
−0.211655 + 0.977345i \(0.567885\pi\)
\(734\) 4.17362 4.17362i 0.154051 0.154051i
\(735\) −0.376282 + 0.312414i −0.0138794 + 0.0115236i
\(736\) 4.57110 7.91738i 0.168493 0.291838i
\(737\) 4.85903 + 18.1341i 0.178985 + 0.667979i
\(738\) 1.06701 + 1.84811i 0.0392770 + 0.0680298i
\(739\) −35.1315 −1.29233 −0.646167 0.763196i \(-0.723629\pi\)
−0.646167 + 0.763196i \(0.723629\pi\)
\(740\) −12.4710 5.42891i −0.458445 0.199571i
\(741\) −0.450971 −0.0165668
\(742\) 1.96725 + 3.40738i 0.0722202 + 0.125089i
\(743\) 11.9968 + 44.7727i 0.440121 + 1.64255i 0.728507 + 0.685039i \(0.240215\pi\)
−0.288386 + 0.957514i \(0.593119\pi\)
\(744\) −0.190585 + 0.330103i −0.00698719 + 0.0121022i
\(745\) 26.8527 + 2.49027i 0.983807 + 0.0912365i
\(746\) 5.68751 5.68751i 0.208234 0.208234i
\(747\) −1.44451 5.39099i −0.0528519 0.197246i
\(748\) −12.0719 −0.441392
\(749\) 9.76554 5.63814i 0.356825 0.206013i
\(750\) 0.561436 + 1.00850i 0.0205007 + 0.0368251i
\(751\) 41.9538i 1.53092i 0.643485 + 0.765458i \(0.277488\pi\)
−0.643485 + 0.765458i \(0.722512\pi\)
\(752\) 1.25222 + 0.335532i 0.0456638 + 0.0122356i
\(753\) −1.53991 + 2.66720i −0.0561174 + 0.0971983i
\(754\) −3.50328 + 3.50328i −0.127582 + 0.127582i
\(755\) 17.8625 25.2296i 0.650083 0.918201i
\(756\) −0.683068 1.18311i −0.0248429 0.0430292i
\(757\) 22.2153 12.8260i 0.807427 0.466168i −0.0386345 0.999253i \(-0.512301\pi\)
0.846062 + 0.533085i \(0.178967\pi\)
\(758\) −21.9353 12.6643i −0.796725 0.459990i
\(759\) −1.97074 + 0.528058i −0.0715334 + 0.0191673i
\(760\) 1.76448 + 10.3209i 0.0640046 + 0.374377i
\(761\) −27.3710 + 15.8026i −0.992197 + 0.572845i −0.905930 0.423427i \(-0.860827\pi\)
−0.0862666 + 0.996272i \(0.527494\pi\)
\(762\) 1.80817 1.04395i 0.0655031 0.0378183i
\(763\) 2.60447 0.0942881
\(764\) −5.78088 21.5745i −0.209145 0.780539i
\(765\) 30.4659 + 21.5698i 1.10150 + 0.779857i
\(766\) −5.70483 −0.206124
\(767\) −1.63072 1.63072i −0.0588818 0.0588818i
\(768\) 0.0997208 + 0.0267201i 0.00359836 + 0.000964179i
\(769\) −18.7032 + 18.7032i −0.674454 + 0.674454i −0.958740 0.284286i \(-0.908244\pi\)
0.284286 + 0.958740i \(0.408244\pi\)
\(770\) −8.21661 + 6.82196i −0.296106 + 0.245846i
\(771\) 0.416700 +