Properties

Label 138.2.e.b.127.1
Level $138$
Weight $2$
Character 138.127
Analytic conductor $1.102$
Analytic rank $0$
Dimension $10$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 138 = 2 \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 138.e (of order \(11\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.10193554789\)
Analytic rank: \(0\)
Dimension: \(10\)
Coefficient field: \(\Q(\zeta_{22})\)
Defining polynomial: \( x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 127.1
Root \(-0.841254 + 0.540641i\) of defining polynomial
Character \(\chi\) \(=\) 138.127
Dual form 138.2.e.b.25.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.841254 - 0.540641i) q^{2} +(0.142315 - 0.989821i) q^{3} +(0.415415 - 0.909632i) q^{4} +(0.186393 - 0.0547299i) q^{5} +(-0.415415 - 0.909632i) q^{6} +(-1.27819 - 1.47511i) q^{7} +(-0.142315 - 0.989821i) q^{8} +(-0.959493 - 0.281733i) q^{9} +O(q^{10})\) \(q+(0.841254 - 0.540641i) q^{2} +(0.142315 - 0.989821i) q^{3} +(0.415415 - 0.909632i) q^{4} +(0.186393 - 0.0547299i) q^{5} +(-0.415415 - 0.909632i) q^{6} +(-1.27819 - 1.47511i) q^{7} +(-0.142315 - 0.989821i) q^{8} +(-0.959493 - 0.281733i) q^{9} +(0.127214 - 0.146813i) q^{10} +(5.30154 + 3.40709i) q^{11} +(-0.841254 - 0.540641i) q^{12} +(-3.15177 + 3.63733i) q^{13} +(-1.87279 - 0.549899i) q^{14} +(-0.0276463 - 0.192284i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(-1.33259 - 2.91797i) q^{17} +(-0.959493 + 0.281733i) q^{18} +(0.357028 - 0.781782i) q^{19} +(0.0276463 - 0.192284i) q^{20} +(-1.64200 + 1.05525i) q^{21} +6.30195 q^{22} +(3.37782 + 3.40446i) q^{23} -1.00000 q^{24} +(-4.17452 + 2.68280i) q^{25} +(-0.684944 + 4.76389i) q^{26} +(-0.415415 + 0.909632i) q^{27} +(-1.87279 + 0.549899i) q^{28} +(2.25047 + 4.92785i) q^{29} +(-0.127214 - 0.146813i) q^{30} +(0.144265 + 1.00339i) q^{31} +(-0.959493 - 0.281733i) q^{32} +(4.12690 - 4.76270i) q^{33} +(-2.69862 - 1.73430i) q^{34} +(-0.318978 - 0.204995i) q^{35} +(-0.654861 + 0.755750i) q^{36} +(-6.61126 - 1.94124i) q^{37} +(-0.122312 - 0.850701i) q^{38} +(3.15177 + 3.63733i) q^{39} +(-0.0806993 - 0.176707i) q^{40} +(0.932638 - 0.273847i) q^{41} +(-0.810827 + 1.77546i) q^{42} +(0.731899 - 5.09047i) q^{43} +(5.30154 - 3.40709i) q^{44} -0.194262 q^{45} +(4.68219 + 1.03782i) q^{46} -7.41216 q^{47} +(-0.841254 + 0.540641i) q^{48} +(0.454025 - 3.15781i) q^{49} +(-2.06140 + 4.51383i) q^{50} +(-3.07792 + 0.903759i) q^{51} +(1.99934 + 4.37795i) q^{52} +(-1.31494 - 1.51752i) q^{53} +(0.142315 + 0.989821i) q^{54} +(1.17464 + 0.344905i) q^{55} +(-1.27819 + 1.47511i) q^{56} +(-0.723014 - 0.464653i) q^{57} +(4.55742 + 2.92887i) q^{58} +(5.63325 - 6.50112i) q^{59} +(-0.186393 - 0.0547299i) q^{60} +(-1.72487 - 11.9968i) q^{61} +(0.663836 + 0.766107i) q^{62} +(0.810827 + 1.77546i) q^{63} +(-0.959493 + 0.281733i) q^{64} +(-0.388396 + 0.850468i) q^{65} +(0.896861 - 6.23781i) q^{66} +(5.96723 - 3.83491i) q^{67} -3.20786 q^{68} +(3.85052 - 2.85894i) q^{69} -0.379170 q^{70} +(0.933267 - 0.599775i) q^{71} +(-0.142315 + 0.989821i) q^{72} +(-5.47763 + 11.9943i) q^{73} +(-6.61126 + 1.94124i) q^{74} +(2.06140 + 4.51383i) q^{75} +(-0.562819 - 0.649528i) q^{76} +(-1.75054 - 12.1753i) q^{77} +(4.61792 + 1.35595i) q^{78} +(-0.739858 + 0.853842i) q^{79} +(-0.163423 - 0.105026i) q^{80} +(0.841254 + 0.540641i) q^{81} +(0.636532 - 0.734597i) q^{82} +(-3.84482 - 1.12894i) q^{83} +(0.277777 + 1.93198i) q^{84} +(-0.408086 - 0.470956i) q^{85} +(-2.13640 - 4.67807i) q^{86} +(5.19797 - 1.52626i) q^{87} +(2.61792 - 5.73246i) q^{88} +(1.35933 - 9.45436i) q^{89} +(-0.163423 + 0.105026i) q^{90} +9.39402 q^{91} +(4.50000 - 1.65831i) q^{92} +1.01371 q^{93} +(-6.23551 + 4.00732i) q^{94} +(0.0237606 - 0.165259i) q^{95} +(-0.415415 + 0.909632i) q^{96} +(1.07554 - 0.315806i) q^{97} +(-1.32529 - 2.90199i) q^{98} +(-4.12690 - 4.76270i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 10 q - q^{2} + q^{3} - q^{4} - 2 q^{5} + q^{6} - q^{8} - q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 10 q - q^{2} + q^{3} - q^{4} - 2 q^{5} + q^{6} - q^{8} - q^{9} + 9 q^{10} + 11 q^{11} + q^{12} + 13 q^{13} - 11 q^{14} + 13 q^{15} - q^{16} - 24 q^{17} - q^{18} - 14 q^{19} - 13 q^{20} + 11 q^{21} + 22 q^{22} - 10 q^{23} - 10 q^{24} - 43 q^{25} - 9 q^{26} + q^{27} - 11 q^{28} + 13 q^{29} - 9 q^{30} + 8 q^{31} - q^{32} + 22 q^{33} + 9 q^{34} - q^{36} - 13 q^{37} - 3 q^{38} - 13 q^{39} + 9 q^{40} - 10 q^{41} - 8 q^{43} + 11 q^{44} - 2 q^{45} + q^{46} - 8 q^{47} + q^{48} + 29 q^{49} + 23 q^{50} - 9 q^{51} + 2 q^{52} - 35 q^{53} + q^{54} - 11 q^{55} + 3 q^{57} + 13 q^{58} + 37 q^{59} + 2 q^{60} - 2 q^{61} + 8 q^{62} - q^{64} + 37 q^{65} + 14 q^{67} - 2 q^{68} - q^{69} - 22 q^{70} + 44 q^{71} - q^{72} - 49 q^{73} - 13 q^{74} - 23 q^{75} + 8 q^{76} + 44 q^{77} + 20 q^{78} - 8 q^{79} - 2 q^{80} - q^{81} + 12 q^{82} - 17 q^{83} - 11 q^{84} - 37 q^{85} + 14 q^{86} - 2 q^{87} + 59 q^{89} - 2 q^{90} + 66 q^{91} + 45 q^{92} + 36 q^{93} - 19 q^{94} - 28 q^{95} + q^{96} - 21 q^{97} - 26 q^{98} - 22 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/138\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(97\)
\(\chi(n)\) \(1\) \(e\left(\frac{10}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.841254 0.540641i 0.594856 0.382291i
\(3\) 0.142315 0.989821i 0.0821655 0.571474i
\(4\) 0.415415 0.909632i 0.207708 0.454816i
\(5\) 0.186393 0.0547299i 0.0833574 0.0244759i −0.239788 0.970825i \(-0.577078\pi\)
0.323145 + 0.946349i \(0.395260\pi\)
\(6\) −0.415415 0.909632i −0.169592 0.371356i
\(7\) −1.27819 1.47511i −0.483110 0.557539i 0.460901 0.887451i \(-0.347526\pi\)
−0.944012 + 0.329913i \(0.892981\pi\)
\(8\) −0.142315 0.989821i −0.0503159 0.349955i
\(9\) −0.959493 0.281733i −0.319831 0.0939109i
\(10\) 0.127214 0.146813i 0.0402287 0.0464264i
\(11\) 5.30154 + 3.40709i 1.59847 + 1.02728i 0.967962 + 0.251097i \(0.0807913\pi\)
0.630512 + 0.776180i \(0.282845\pi\)
\(12\) −0.841254 0.540641i −0.242849 0.156070i
\(13\) −3.15177 + 3.63733i −0.874143 + 1.00881i 0.125717 + 0.992066i \(0.459877\pi\)
−0.999860 + 0.0167483i \(0.994669\pi\)
\(14\) −1.87279 0.549899i −0.500523 0.146967i
\(15\) −0.0276463 0.192284i −0.00713825 0.0496476i
\(16\) −0.654861 0.755750i −0.163715 0.188937i
\(17\) −1.33259 2.91797i −0.323201 0.707712i 0.676383 0.736550i \(-0.263547\pi\)
−0.999584 + 0.0288381i \(0.990819\pi\)
\(18\) −0.959493 + 0.281733i −0.226155 + 0.0664050i
\(19\) 0.357028 0.781782i 0.0819078 0.179353i −0.864247 0.503068i \(-0.832205\pi\)
0.946155 + 0.323715i \(0.104932\pi\)
\(20\) 0.0276463 0.192284i 0.00618191 0.0429961i
\(21\) −1.64200 + 1.05525i −0.358314 + 0.230274i
\(22\) 6.30195 1.34358
\(23\) 3.37782 + 3.40446i 0.704324 + 0.709878i
\(24\) −1.00000 −0.204124
\(25\) −4.17452 + 2.68280i −0.834904 + 0.536560i
\(26\) −0.684944 + 4.76389i −0.134329 + 0.934276i
\(27\) −0.415415 + 0.909632i −0.0799467 + 0.175059i
\(28\) −1.87279 + 0.549899i −0.353923 + 0.103921i
\(29\) 2.25047 + 4.92785i 0.417902 + 0.915079i 0.995137 + 0.0985003i \(0.0314045\pi\)
−0.577235 + 0.816578i \(0.695868\pi\)
\(30\) −0.127214 0.146813i −0.0232261 0.0268043i
\(31\) 0.144265 + 1.00339i 0.0259108 + 0.180214i 0.998667 0.0516171i \(-0.0164375\pi\)
−0.972756 + 0.231831i \(0.925528\pi\)
\(32\) −0.959493 0.281733i −0.169616 0.0498038i
\(33\) 4.12690 4.76270i 0.718401 0.829079i
\(34\) −2.69862 1.73430i −0.462810 0.297430i
\(35\) −0.318978 0.204995i −0.0539171 0.0346504i
\(36\) −0.654861 + 0.755750i −0.109143 + 0.125958i
\(37\) −6.61126 1.94124i −1.08688 0.319138i −0.311255 0.950326i \(-0.600749\pi\)
−0.775630 + 0.631188i \(0.782567\pi\)
\(38\) −0.122312 0.850701i −0.0198417 0.138002i
\(39\) 3.15177 + 3.63733i 0.504687 + 0.582439i
\(40\) −0.0806993 0.176707i −0.0127597 0.0279398i
\(41\) 0.932638 0.273847i 0.145654 0.0427677i −0.208093 0.978109i \(-0.566726\pi\)
0.353747 + 0.935341i \(0.384908\pi\)
\(42\) −0.810827 + 1.77546i −0.125113 + 0.273960i
\(43\) 0.731899 5.09047i 0.111614 0.776290i −0.854737 0.519061i \(-0.826282\pi\)
0.966351 0.257228i \(-0.0828093\pi\)
\(44\) 5.30154 3.40709i 0.799237 0.513638i
\(45\) −0.194262 −0.0289588
\(46\) 4.68219 + 1.03782i 0.690352 + 0.153019i
\(47\) −7.41216 −1.08117 −0.540587 0.841288i \(-0.681798\pi\)
−0.540587 + 0.841288i \(0.681798\pi\)
\(48\) −0.841254 + 0.540641i −0.121424 + 0.0780348i
\(49\) 0.454025 3.15781i 0.0648607 0.451116i
\(50\) −2.06140 + 4.51383i −0.291526 + 0.638352i
\(51\) −3.07792 + 0.903759i −0.430995 + 0.126552i
\(52\) 1.99934 + 4.37795i 0.277259 + 0.607112i
\(53\) −1.31494 1.51752i −0.180621 0.208447i 0.658218 0.752827i \(-0.271310\pi\)
−0.838839 + 0.544380i \(0.816765\pi\)
\(54\) 0.142315 + 0.989821i 0.0193666 + 0.134698i
\(55\) 1.17464 + 0.344905i 0.158388 + 0.0465070i
\(56\) −1.27819 + 1.47511i −0.170805 + 0.197120i
\(57\) −0.723014 0.464653i −0.0957656 0.0615448i
\(58\) 4.55742 + 2.92887i 0.598418 + 0.384580i
\(59\) 5.63325 6.50112i 0.733387 0.846373i −0.259462 0.965753i \(-0.583545\pi\)
0.992849 + 0.119380i \(0.0380907\pi\)
\(60\) −0.186393 0.0547299i −0.0240632 0.00706560i
\(61\) −1.72487 11.9968i −0.220848 1.53603i −0.734844 0.678236i \(-0.762745\pi\)
0.513996 0.857792i \(-0.328165\pi\)
\(62\) 0.663836 + 0.766107i 0.0843072 + 0.0972957i
\(63\) 0.810827 + 1.77546i 0.102155 + 0.223687i
\(64\) −0.959493 + 0.281733i −0.119937 + 0.0352166i
\(65\) −0.388396 + 0.850468i −0.0481746 + 0.105488i
\(66\) 0.896861 6.23781i 0.110396 0.767821i
\(67\) 5.96723 3.83491i 0.729014 0.468509i −0.122748 0.992438i \(-0.539171\pi\)
0.851762 + 0.523929i \(0.175534\pi\)
\(68\) −3.20786 −0.389010
\(69\) 3.85052 2.85894i 0.463548 0.344175i
\(70\) −0.379170 −0.0453194
\(71\) 0.933267 0.599775i 0.110758 0.0711801i −0.484089 0.875019i \(-0.660849\pi\)
0.594847 + 0.803839i \(0.297212\pi\)
\(72\) −0.142315 + 0.989821i −0.0167720 + 0.116652i
\(73\) −5.47763 + 11.9943i −0.641109 + 1.40383i 0.258017 + 0.966141i \(0.416931\pi\)
−0.899125 + 0.437692i \(0.855796\pi\)
\(74\) −6.61126 + 1.94124i −0.768543 + 0.225665i
\(75\) 2.06140 + 4.51383i 0.238030 + 0.521212i
\(76\) −0.562819 0.649528i −0.0645598 0.0745060i
\(77\) −1.75054 12.1753i −0.199492 1.38750i
\(78\) 4.61792 + 1.35595i 0.522877 + 0.153531i
\(79\) −0.739858 + 0.853842i −0.0832405 + 0.0960647i −0.795842 0.605504i \(-0.792971\pi\)
0.712601 + 0.701569i \(0.247517\pi\)
\(80\) −0.163423 0.105026i −0.0182713 0.0117422i
\(81\) 0.841254 + 0.540641i 0.0934726 + 0.0600712i
\(82\) 0.636532 0.734597i 0.0702932 0.0811227i
\(83\) −3.84482 1.12894i −0.422024 0.123918i 0.0638230 0.997961i \(-0.479671\pi\)
−0.485847 + 0.874044i \(0.661489\pi\)
\(84\) 0.277777 + 1.93198i 0.0303080 + 0.210797i
\(85\) −0.408086 0.470956i −0.0442631 0.0510824i
\(86\) −2.13640 4.67807i −0.230374 0.504450i
\(87\) 5.19797 1.52626i 0.557281 0.163632i
\(88\) 2.61792 5.73246i 0.279072 0.611082i
\(89\) 1.35933 9.45436i 0.144089 1.00216i −0.781575 0.623812i \(-0.785583\pi\)
0.925663 0.378348i \(-0.123508\pi\)
\(90\) −0.163423 + 0.105026i −0.0172263 + 0.0110707i
\(91\) 9.39402 0.984760
\(92\) 4.50000 1.65831i 0.469157 0.172891i
\(93\) 1.01371 0.105116
\(94\) −6.23551 + 4.00732i −0.643143 + 0.413323i
\(95\) 0.0237606 0.165259i 0.00243779 0.0169552i
\(96\) −0.415415 + 0.909632i −0.0423981 + 0.0928389i
\(97\) 1.07554 0.315806i 0.109204 0.0320653i −0.226674 0.973971i \(-0.572785\pi\)
0.335878 + 0.941905i \(0.390967\pi\)
\(98\) −1.32529 2.90199i −0.133875 0.293145i
\(99\) −4.12690 4.76270i −0.414769 0.478669i
\(100\) 0.706204 + 4.91175i 0.0706204 + 0.491175i
\(101\) −12.0622 3.54178i −1.20023 0.352420i −0.380290 0.924867i \(-0.624176\pi\)
−0.819942 + 0.572447i \(0.805994\pi\)
\(102\) −2.10070 + 2.42434i −0.208000 + 0.240045i
\(103\) 16.3172 + 10.4864i 1.60778 + 1.03326i 0.963222 + 0.268706i \(0.0865959\pi\)
0.644560 + 0.764553i \(0.277040\pi\)
\(104\) 4.04885 + 2.60204i 0.397023 + 0.255151i
\(105\) −0.248303 + 0.286557i −0.0242319 + 0.0279651i
\(106\) −1.92663 0.565710i −0.187131 0.0549466i
\(107\) −0.437753 3.04464i −0.0423191 0.294336i −0.999979 0.00643501i \(-0.997952\pi\)
0.957660 0.287901i \(-0.0929574\pi\)
\(108\) 0.654861 + 0.755750i 0.0630140 + 0.0727220i
\(109\) 0.809766 + 1.77314i 0.0775615 + 0.169836i 0.944440 0.328683i \(-0.106605\pi\)
−0.866879 + 0.498519i \(0.833877\pi\)
\(110\) 1.17464 0.344905i 0.111997 0.0328854i
\(111\) −2.86236 + 6.26770i −0.271683 + 0.594904i
\(112\) −0.277777 + 1.93198i −0.0262475 + 0.182555i
\(113\) −14.4268 + 9.27157i −1.35716 + 0.872196i −0.998130 0.0611286i \(-0.980530\pi\)
−0.359034 + 0.933325i \(0.616894\pi\)
\(114\) −0.859449 −0.0804947
\(115\) 0.815927 + 0.449698i 0.0760856 + 0.0419346i
\(116\) 5.41741 0.502994
\(117\) 4.04885 2.60204i 0.374317 0.240559i
\(118\) 1.22422 8.51465i 0.112699 0.783837i
\(119\) −2.60102 + 5.69544i −0.238435 + 0.522100i
\(120\) −0.186393 + 0.0547299i −0.0170153 + 0.00499613i
\(121\) 11.9285 + 26.1197i 1.08441 + 2.37452i
\(122\) −7.93700 9.15979i −0.718582 0.829288i
\(123\) −0.138332 0.962117i −0.0124729 0.0867512i
\(124\) 0.972643 + 0.285594i 0.0873459 + 0.0256471i
\(125\) −1.26734 + 1.46259i −0.113355 + 0.130818i
\(126\) 1.64200 + 1.05525i 0.146281 + 0.0940091i
\(127\) −18.1810 11.6842i −1.61330 1.03681i −0.960113 0.279613i \(-0.909794\pi\)
−0.653190 0.757194i \(-0.726570\pi\)
\(128\) −0.654861 + 0.755750i −0.0578821 + 0.0667995i
\(129\) −4.93450 1.44890i −0.434458 0.127568i
\(130\) 0.133058 + 0.925442i 0.0116700 + 0.0811666i
\(131\) 9.79482 + 11.3038i 0.855777 + 0.987620i 0.999998 0.00192587i \(-0.000613023\pi\)
−0.144221 + 0.989546i \(0.546068\pi\)
\(132\) −2.61792 5.73246i −0.227861 0.498946i
\(133\) −1.60956 + 0.472610i −0.139567 + 0.0409805i
\(134\) 2.94665 6.45226i 0.254552 0.557390i
\(135\) −0.0276463 + 0.192284i −0.00237942 + 0.0165492i
\(136\) −2.69862 + 1.73430i −0.231405 + 0.148715i
\(137\) 18.1570 1.55126 0.775628 0.631190i \(-0.217433\pi\)
0.775628 + 0.631190i \(0.217433\pi\)
\(138\) 1.69360 4.48684i 0.144169 0.381945i
\(139\) −7.36718 −0.624876 −0.312438 0.949938i \(-0.601146\pi\)
−0.312438 + 0.949938i \(0.601146\pi\)
\(140\) −0.318978 + 0.204995i −0.0269585 + 0.0173252i
\(141\) −1.05486 + 7.33672i −0.0888353 + 0.617863i
\(142\) 0.460852 1.00912i 0.0386738 0.0846839i
\(143\) −29.1019 + 8.54510i −2.43363 + 0.714577i
\(144\) 0.415415 + 0.909632i 0.0346179 + 0.0758027i
\(145\) 0.689173 + 0.795348i 0.0572327 + 0.0660500i
\(146\) 1.87655 + 13.0517i 0.155305 + 1.08017i
\(147\) −3.06106 0.898807i −0.252472 0.0741324i
\(148\) −4.51223 + 5.20739i −0.370903 + 0.428045i
\(149\) 13.1516 + 8.45201i 1.07742 + 0.692415i 0.953960 0.299934i \(-0.0969648\pi\)
0.123459 + 0.992350i \(0.460601\pi\)
\(150\) 4.17452 + 2.68280i 0.340848 + 0.219050i
\(151\) −13.5583 + 15.6472i −1.10336 + 1.27335i −0.144491 + 0.989506i \(0.546154\pi\)
−0.958871 + 0.283842i \(0.908391\pi\)
\(152\) −0.824635 0.242135i −0.0668867 0.0196397i
\(153\) 0.456526 + 3.17521i 0.0369080 + 0.256700i
\(154\) −8.05509 9.29606i −0.649097 0.749098i
\(155\) 0.0818052 + 0.179129i 0.00657076 + 0.0143879i
\(156\) 4.61792 1.35595i 0.369730 0.108562i
\(157\) −1.65182 + 3.61698i −0.131830 + 0.288666i −0.964023 0.265819i \(-0.914358\pi\)
0.832193 + 0.554485i \(0.187085\pi\)
\(158\) −0.160787 + 1.11829i −0.0127915 + 0.0889668i
\(159\) −1.68921 + 1.08559i −0.133963 + 0.0860928i
\(160\) −0.194262 −0.0153577
\(161\) 0.704449 9.33420i 0.0555183 0.735638i
\(162\) 1.00000 0.0785674
\(163\) 20.6215 13.2526i 1.61520 1.03803i 0.656217 0.754572i \(-0.272156\pi\)
0.958985 0.283455i \(-0.0914807\pi\)
\(164\) 0.138332 0.962117i 0.0108019 0.0751288i
\(165\) 0.508563 1.11360i 0.0395915 0.0866934i
\(166\) −3.84482 + 1.12894i −0.298416 + 0.0876229i
\(167\) −0.811902 1.77782i −0.0628268 0.137572i 0.875614 0.483011i \(-0.160457\pi\)
−0.938441 + 0.345440i \(0.887730\pi\)
\(168\) 1.27819 + 1.47511i 0.0986145 + 0.113807i
\(169\) −1.44646 10.0604i −0.111266 0.773874i
\(170\) −0.597922 0.175566i −0.0458585 0.0134653i
\(171\) −0.562819 + 0.649528i −0.0430399 + 0.0496706i
\(172\) −4.32641 2.78042i −0.329886 0.212005i
\(173\) 5.16669 + 3.32043i 0.392816 + 0.252447i 0.722108 0.691781i \(-0.243174\pi\)
−0.329292 + 0.944228i \(0.606810\pi\)
\(174\) 3.54765 4.09421i 0.268947 0.310381i
\(175\) 9.29325 + 2.72875i 0.702504 + 0.206274i
\(176\) −0.896861 6.23781i −0.0676034 0.470192i
\(177\) −5.63325 6.50112i −0.423421 0.488654i
\(178\) −3.96787 8.68842i −0.297404 0.651225i
\(179\) −6.20879 + 1.82307i −0.464067 + 0.136262i −0.505404 0.862883i \(-0.668656\pi\)
0.0413370 + 0.999145i \(0.486838\pi\)
\(180\) −0.0806993 + 0.176707i −0.00601497 + 0.0131709i
\(181\) −0.464155 + 3.22827i −0.0345004 + 0.239955i −0.999773 0.0212879i \(-0.993223\pi\)
0.965273 + 0.261243i \(0.0841324\pi\)
\(182\) 7.90275 5.07879i 0.585791 0.376465i
\(183\) −12.1201 −0.895946
\(184\) 2.88909 3.82794i 0.212987 0.282200i
\(185\) −1.33853 −0.0984110
\(186\) 0.852783 0.548050i 0.0625291 0.0401850i
\(187\) 2.87700 20.0100i 0.210387 1.46328i
\(188\) −3.07912 + 6.74234i −0.224568 + 0.491736i
\(189\) 1.87279 0.549899i 0.136225 0.0399993i
\(190\) −0.0693569 0.151870i −0.00503167 0.0110178i
\(191\) 14.9659 + 17.2716i 1.08290 + 1.24973i 0.966538 + 0.256523i \(0.0825768\pi\)
0.116359 + 0.993207i \(0.462878\pi\)
\(192\) 0.142315 + 0.989821i 0.0102707 + 0.0714342i
\(193\) 16.2552 + 4.77294i 1.17007 + 0.343564i 0.808339 0.588718i \(-0.200367\pi\)
0.361733 + 0.932282i \(0.382185\pi\)
\(194\) 0.734062 0.847152i 0.0527025 0.0608220i
\(195\) 0.786537 + 0.505477i 0.0563251 + 0.0361979i
\(196\) −2.68384 1.72480i −0.191703 0.123200i
\(197\) −0.821721 + 0.948317i −0.0585452 + 0.0675648i −0.784267 0.620424i \(-0.786961\pi\)
0.725722 + 0.687989i \(0.241506\pi\)
\(198\) −6.04668 1.77546i −0.429719 0.126177i
\(199\) −3.53140 24.5614i −0.250334 1.74111i −0.596206 0.802832i \(-0.703326\pi\)
0.345872 0.938282i \(-0.387583\pi\)
\(200\) 3.24959 + 3.75023i 0.229781 + 0.265181i
\(201\) −2.94665 6.45226i −0.207841 0.455107i
\(202\) −12.0622 + 3.54178i −0.848692 + 0.249198i
\(203\) 4.39258 9.61842i 0.308299 0.675081i
\(204\) −0.456526 + 3.17521i −0.0319632 + 0.222309i
\(205\) 0.158849 0.102086i 0.0110945 0.00713002i
\(206\) 19.3963 1.35140
\(207\) −2.28185 4.21819i −0.158600 0.293185i
\(208\) 4.81288 0.333713
\(209\) 4.55640 2.92822i 0.315173 0.202549i
\(210\) −0.0539615 + 0.375310i −0.00372370 + 0.0258989i
\(211\) 3.01519 6.60235i 0.207575 0.454525i −0.776998 0.629503i \(-0.783258\pi\)
0.984572 + 0.174979i \(0.0559856\pi\)
\(212\) −1.92663 + 0.565710i −0.132321 + 0.0388531i
\(213\) −0.460852 1.00912i −0.0315771 0.0691441i
\(214\) −2.01432 2.32464i −0.137696 0.158909i
\(215\) −0.142180 0.988884i −0.00969660 0.0674413i
\(216\) 0.959493 + 0.281733i 0.0652852 + 0.0191695i
\(217\) 1.29571 1.49533i 0.0879583 0.101509i
\(218\) 1.63985 + 1.05387i 0.111065 + 0.0713769i
\(219\) 11.0927 + 7.12885i 0.749576 + 0.481723i
\(220\) 0.801699 0.925210i 0.0540505 0.0623776i
\(221\) 14.8137 + 4.34968i 0.996474 + 0.292591i
\(222\) 0.980602 + 6.82023i 0.0658137 + 0.457744i
\(223\) −13.5780 15.6698i −0.909250 1.04933i −0.998577 0.0533276i \(-0.983017\pi\)
0.0893275 0.996002i \(-0.471528\pi\)
\(224\) 0.810827 + 1.77546i 0.0541757 + 0.118628i
\(225\) 4.76126 1.39803i 0.317417 0.0932021i
\(226\) −7.12405 + 15.5995i −0.473884 + 1.03766i
\(227\) 2.99578 20.8361i 0.198837 1.38294i −0.608829 0.793301i \(-0.708361\pi\)
0.807666 0.589640i \(-0.200730\pi\)
\(228\) −0.723014 + 0.464653i −0.0478828 + 0.0307724i
\(229\) −1.91595 −0.126609 −0.0633047 0.997994i \(-0.520164\pi\)
−0.0633047 + 0.997994i \(0.520164\pi\)
\(230\) 0.929527 0.0628131i 0.0612912 0.00414177i
\(231\) −12.3005 −0.809311
\(232\) 4.55742 2.92887i 0.299209 0.192290i
\(233\) 2.05368 14.2837i 0.134541 0.935756i −0.804989 0.593290i \(-0.797829\pi\)
0.939530 0.342466i \(-0.111262\pi\)
\(234\) 1.99934 4.37795i 0.130701 0.286196i
\(235\) −1.38157 + 0.405667i −0.0901239 + 0.0264628i
\(236\) −3.57349 7.82485i −0.232614 0.509354i
\(237\) 0.739858 + 0.853842i 0.0480589 + 0.0554630i
\(238\) 0.891070 + 6.19753i 0.0577595 + 0.401726i
\(239\) 9.41935 + 2.76577i 0.609287 + 0.178903i 0.571798 0.820394i \(-0.306246\pi\)
0.0374888 + 0.999297i \(0.488064\pi\)
\(240\) −0.127214 + 0.146813i −0.00821165 + 0.00947675i
\(241\) −12.5379 8.05765i −0.807640 0.519039i 0.0704608 0.997515i \(-0.477553\pi\)
−0.878101 + 0.478476i \(0.841189\pi\)
\(242\) 24.1562 + 15.5243i 1.55282 + 0.997938i
\(243\) 0.654861 0.755750i 0.0420093 0.0484814i
\(244\) −11.6292 3.41464i −0.744482 0.218600i
\(245\) −0.0881997 0.613442i −0.00563487 0.0391914i
\(246\) −0.636532 0.734597i −0.0405838 0.0468362i
\(247\) 1.71833 + 3.76262i 0.109335 + 0.239410i
\(248\) 0.972643 0.285594i 0.0617629 0.0181352i
\(249\) −1.66463 + 3.64502i −0.105491 + 0.230994i
\(250\) −0.275420 + 1.91559i −0.0174191 + 0.121152i
\(251\) −1.80424 + 1.15952i −0.113883 + 0.0731880i −0.596342 0.802730i \(-0.703380\pi\)
0.482460 + 0.875918i \(0.339744\pi\)
\(252\) 1.95185 0.122955
\(253\) 6.30836 + 29.5574i 0.396603 + 1.85826i
\(254\) −21.6118 −1.35604
\(255\) −0.524239 + 0.336908i −0.0328291 + 0.0210980i
\(256\) −0.142315 + 0.989821i −0.00889468 + 0.0618638i
\(257\) −6.58383 + 14.4166i −0.410688 + 0.899281i 0.585386 + 0.810755i \(0.300943\pi\)
−0.996074 + 0.0885261i \(0.971784\pi\)
\(258\) −4.93450 + 1.44890i −0.307208 + 0.0902045i
\(259\) 5.58690 + 12.2336i 0.347153 + 0.760159i
\(260\) 0.612268 + 0.706595i 0.0379712 + 0.0438211i
\(261\) −0.770978 5.36227i −0.0477223 0.331916i
\(262\) 14.3512 + 4.21390i 0.886622 + 0.260336i
\(263\) −0.0855299 + 0.0987067i −0.00527400 + 0.00608652i −0.758380 0.651812i \(-0.774009\pi\)
0.753106 + 0.657899i \(0.228555\pi\)
\(264\) −5.30154 3.40709i −0.326287 0.209692i
\(265\) −0.328149 0.210888i −0.0201580 0.0129548i
\(266\) −1.09854 + 1.26778i −0.0673557 + 0.0777326i
\(267\) −9.16467 2.69099i −0.560869 0.164686i
\(268\) −1.00948 7.02107i −0.0616636 0.428880i
\(269\) 15.6962 + 18.1144i 0.957016 + 1.10446i 0.994456 + 0.105157i \(0.0335344\pi\)
−0.0374396 + 0.999299i \(0.511920\pi\)
\(270\) 0.0806993 + 0.176707i 0.00491120 + 0.0107540i
\(271\) −3.09137 + 0.907707i −0.187787 + 0.0551393i −0.374274 0.927318i \(-0.622108\pi\)
0.186487 + 0.982457i \(0.440290\pi\)
\(272\) −1.33259 + 2.91797i −0.0808003 + 0.176928i
\(273\) 1.33691 9.29840i 0.0809133 0.562765i
\(274\) 15.2746 9.81641i 0.922775 0.593031i
\(275\) −31.2719 −1.88577
\(276\) −1.00102 4.69020i −0.0602541 0.282317i
\(277\) −13.0026 −0.781250 −0.390625 0.920550i \(-0.627741\pi\)
−0.390625 + 0.920550i \(0.627741\pi\)
\(278\) −6.19766 + 3.98300i −0.371711 + 0.238884i
\(279\) 0.144265 1.00339i 0.00863694 0.0600712i
\(280\) −0.157513 + 0.344905i −0.00941319 + 0.0206120i
\(281\) −9.32483 + 2.73802i −0.556273 + 0.163336i −0.547772 0.836627i \(-0.684524\pi\)
−0.00850036 + 0.999964i \(0.502706\pi\)
\(282\) 3.07912 + 6.74234i 0.183359 + 0.401500i
\(283\) −13.0872 15.1035i −0.777955 0.897808i 0.219005 0.975724i \(-0.429719\pi\)
−0.996960 + 0.0779160i \(0.975173\pi\)
\(284\) −0.157881 1.09809i −0.00936850 0.0651594i
\(285\) −0.160195 0.0470375i −0.00948913 0.00278626i
\(286\) −19.8623 + 22.9223i −1.17448 + 1.35542i
\(287\) −1.59604 1.02571i −0.0942114 0.0605460i
\(288\) 0.841254 + 0.540641i 0.0495713 + 0.0318576i
\(289\) 4.39387 5.07080i 0.258463 0.298282i
\(290\) 1.00977 + 0.296494i 0.0592955 + 0.0174107i
\(291\) −0.159527 1.10953i −0.00935163 0.0650420i
\(292\) 8.63495 + 9.96526i 0.505322 + 0.583173i
\(293\) −7.42848 16.2661i −0.433977 0.950276i −0.992665 0.120898i \(-0.961422\pi\)
0.558688 0.829378i \(-0.311305\pi\)
\(294\) −3.06106 + 0.898807i −0.178524 + 0.0524195i
\(295\) 0.694192 1.52007i 0.0404174 0.0885018i
\(296\) −0.980602 + 6.82023i −0.0569963 + 0.396418i
\(297\) −5.30154 + 3.40709i −0.307626 + 0.197699i
\(298\) 15.6333 0.905613
\(299\) −23.0292 + 1.55621i −1.33182 + 0.0899979i
\(300\) 4.96226 0.286496
\(301\) −8.44451 + 5.42696i −0.486733 + 0.312805i
\(302\) −2.94651 + 20.4934i −0.169553 + 1.17926i
\(303\) −5.22235 + 11.4354i −0.300016 + 0.656944i
\(304\) −0.824635 + 0.242135i −0.0472960 + 0.0138874i
\(305\) −0.978086 2.14171i −0.0560050 0.122634i
\(306\) 2.10070 + 2.42434i 0.120089 + 0.138590i
\(307\) 1.78091 + 12.3865i 0.101642 + 0.706935i 0.975379 + 0.220536i \(0.0707807\pi\)
−0.873737 + 0.486399i \(0.838310\pi\)
\(308\) −11.8022 3.46544i −0.672493 0.197462i
\(309\) 12.7019 14.6588i 0.722585 0.833907i
\(310\) 0.165663 + 0.106465i 0.00940903 + 0.00604682i
\(311\) 4.59133 + 2.95067i 0.260350 + 0.167317i 0.664304 0.747462i \(-0.268728\pi\)
−0.403954 + 0.914779i \(0.632364\pi\)
\(312\) 3.15177 3.63733i 0.178434 0.205923i
\(313\) 22.9543 + 6.73999i 1.29745 + 0.380967i 0.856307 0.516468i \(-0.172753\pi\)
0.441147 + 0.897435i \(0.354572\pi\)
\(314\) 0.565888 + 3.93584i 0.0319349 + 0.222112i
\(315\) 0.248303 + 0.286557i 0.0139903 + 0.0161457i
\(316\) 0.469334 + 1.02770i 0.0264021 + 0.0578125i
\(317\) 15.4695 4.54224i 0.868852 0.255118i 0.183225 0.983071i \(-0.441346\pi\)
0.685627 + 0.727953i \(0.259528\pi\)
\(318\) −0.834139 + 1.82651i −0.0467762 + 0.102426i
\(319\) −4.85866 + 33.7927i −0.272033 + 1.89203i
\(320\) −0.163423 + 0.105026i −0.00913565 + 0.00587112i
\(321\) −3.07594 −0.171682
\(322\) −4.45383 8.23328i −0.248202 0.458823i
\(323\) −2.75699 −0.153403
\(324\) 0.841254 0.540641i 0.0467363 0.0300356i
\(325\) 3.39887 23.6397i 0.188536 1.31129i
\(326\) 10.1830 22.2977i 0.563985 1.23495i
\(327\) 1.87033 0.549179i 0.103430 0.0303697i
\(328\) −0.403788 0.884172i −0.0222955 0.0488203i
\(329\) 9.47415 + 10.9337i 0.522327 + 0.602797i
\(330\) −0.174226 1.21177i −0.00959081 0.0667056i
\(331\) 0.496914 + 0.145907i 0.0273129 + 0.00801979i 0.295360 0.955386i \(-0.404560\pi\)
−0.268048 + 0.963406i \(0.586378\pi\)
\(332\) −2.62412 + 3.02840i −0.144017 + 0.166205i
\(333\) 5.79655 + 3.72521i 0.317649 + 0.204140i
\(334\) −1.64418 1.05665i −0.0899653 0.0578172i
\(335\) 0.902365 1.04139i 0.0493015 0.0568970i
\(336\) 1.87279 + 0.549899i 0.102169 + 0.0299995i
\(337\) 0.0754437 + 0.524723i 0.00410968 + 0.0285835i 0.991773 0.128008i \(-0.0408584\pi\)
−0.987663 + 0.156592i \(0.949949\pi\)
\(338\) −6.65588 7.68130i −0.362032 0.417808i
\(339\) 7.12405 + 15.5995i 0.386925 + 0.847248i
\(340\) −0.597922 + 0.175566i −0.0324269 + 0.00952139i
\(341\) −2.65380 + 5.81102i −0.143712 + 0.314684i
\(342\) −0.122312 + 0.850701i −0.00661389 + 0.0460006i
\(343\) −16.7324 + 10.7533i −0.903467 + 0.580623i
\(344\) −5.14282 −0.277282
\(345\) 0.561240 0.743623i 0.0302161 0.0400353i
\(346\) 6.14165 0.330177
\(347\) 22.5562 14.4960i 1.21088 0.778185i 0.230073 0.973173i \(-0.426103\pi\)
0.980805 + 0.194989i \(0.0624670\pi\)
\(348\) 0.770978 5.36227i 0.0413287 0.287448i
\(349\) 0.605377 1.32559i 0.0324051 0.0709573i −0.892737 0.450578i \(-0.851218\pi\)
0.925142 + 0.379620i \(0.123945\pi\)
\(350\) 9.29325 2.72875i 0.496745 0.145858i
\(351\) −1.99934 4.37795i −0.106717 0.233678i
\(352\) −4.12690 4.76270i −0.219964 0.253853i
\(353\) −3.19550 22.2252i −0.170079 1.18293i −0.878713 0.477350i \(-0.841597\pi\)
0.708634 0.705576i \(-0.249312\pi\)
\(354\) −8.25376 2.42352i −0.438682 0.128809i
\(355\) 0.141129 0.162871i 0.00749034 0.00864431i
\(356\) −8.03530 5.16397i −0.425870 0.273690i
\(357\) 5.26731 + 3.38509i 0.278775 + 0.179158i
\(358\) −4.23754 + 4.89039i −0.223961 + 0.258465i
\(359\) −0.162153 0.0476124i −0.00855811 0.00251289i 0.277451 0.960740i \(-0.410510\pi\)
−0.286009 + 0.958227i \(0.592329\pi\)
\(360\) 0.0276463 + 0.192284i 0.00145709 + 0.0101343i
\(361\) 11.9586 + 13.8010i 0.629402 + 0.726369i
\(362\) 1.35486 + 2.96673i 0.0712099 + 0.155928i
\(363\) 27.5514 8.08983i 1.44608 0.424606i
\(364\) 3.90242 8.54510i 0.204542 0.447885i
\(365\) −0.364543 + 2.53545i −0.0190810 + 0.132712i
\(366\) −10.1961 + 6.55264i −0.532959 + 0.342512i
\(367\) 17.8312 0.930782 0.465391 0.885105i \(-0.345914\pi\)
0.465391 + 0.885105i \(0.345914\pi\)
\(368\) 0.360914 4.78223i 0.0188139 0.249291i
\(369\) −0.972011 −0.0506009
\(370\) −1.12605 + 0.723667i −0.0585404 + 0.0376216i
\(371\) −0.557767 + 3.87936i −0.0289578 + 0.201406i
\(372\) 0.421108 0.922099i 0.0218335 0.0478086i
\(373\) 26.2789 7.71619i 1.36067 0.399529i 0.481672 0.876352i \(-0.340030\pi\)
0.879000 + 0.476822i \(0.158211\pi\)
\(374\) −8.39794 18.3889i −0.434247 0.950868i
\(375\) 1.26734 + 1.46259i 0.0654453 + 0.0755279i
\(376\) 1.05486 + 7.33672i 0.0544003 + 0.378362i
\(377\) −25.0172 7.34571i −1.28845 0.378323i
\(378\) 1.27819 1.47511i 0.0657430 0.0758714i
\(379\) −2.30170 1.47921i −0.118230 0.0759821i 0.480189 0.877165i \(-0.340568\pi\)
−0.598420 + 0.801183i \(0.704204\pi\)
\(380\) −0.140454 0.0902643i −0.00720514 0.00463046i
\(381\) −14.1527 + 16.3331i −0.725066 + 0.836770i
\(382\) 21.9279 + 6.43861i 1.12193 + 0.329428i
\(383\) 2.05088 + 14.2642i 0.104795 + 0.728867i 0.972688 + 0.232116i \(0.0745649\pi\)
−0.867893 + 0.496751i \(0.834526\pi\)
\(384\) 0.654861 + 0.755750i 0.0334182 + 0.0385667i
\(385\) −0.992638 2.17357i −0.0505895 0.110776i
\(386\) 16.2552 4.77294i 0.827365 0.242936i
\(387\) −2.13640 + 4.67807i −0.108600 + 0.237800i
\(388\) 0.159527 1.10953i 0.00809875 0.0563280i
\(389\) 0.911952 0.586076i 0.0462378 0.0297152i −0.517318 0.855793i \(-0.673069\pi\)
0.563556 + 0.826078i \(0.309433\pi\)
\(390\) 0.934959 0.0473435
\(391\) 5.43285 14.3931i 0.274751 0.727893i
\(392\) −3.19028 −0.161134
\(393\) 12.5827 8.08642i 0.634714 0.407906i
\(394\) −0.178577 + 1.24203i −0.00899658 + 0.0625726i
\(395\) −0.0911736 + 0.199642i −0.00458744 + 0.0100451i
\(396\) −6.04668 + 1.77546i −0.303857 + 0.0892204i
\(397\) −11.2262 24.5819i −0.563427 1.23373i −0.950224 0.311568i \(-0.899146\pi\)
0.386797 0.922165i \(-0.373581\pi\)
\(398\) −16.2497 18.7532i −0.814524 0.940011i
\(399\) 0.238735 + 1.66044i 0.0119517 + 0.0831259i
\(400\) 4.76126 + 1.39803i 0.238063 + 0.0699015i
\(401\) −6.07324 + 7.00889i −0.303283 + 0.350007i −0.886850 0.462058i \(-0.847111\pi\)
0.583567 + 0.812065i \(0.301657\pi\)
\(402\) −5.96723 3.83491i −0.297619 0.191268i
\(403\) −4.10434 2.63770i −0.204452 0.131393i
\(404\) −8.23252 + 9.50084i −0.409583 + 0.472684i
\(405\) 0.186393 + 0.0547299i 0.00926193 + 0.00271955i
\(406\) −1.50483 10.4663i −0.0746836 0.519436i
\(407\) −28.4359 32.8167i −1.40951 1.62666i
\(408\) 1.33259 + 2.91797i 0.0659732 + 0.144461i
\(409\) −35.2765 + 10.3581i −1.74431 + 0.512175i −0.989595 0.143879i \(-0.954042\pi\)
−0.754714 + 0.656054i \(0.772224\pi\)
\(410\) 0.0784406 0.171761i 0.00387390 0.00848267i
\(411\) 2.58401 17.9722i 0.127460 0.886502i
\(412\) 16.3172 10.4864i 0.803891 0.516630i
\(413\) −16.7902 −0.826193
\(414\) −4.20014 2.31491i −0.206426 0.113772i
\(415\) −0.778434 −0.0382118
\(416\) 4.04885 2.60204i 0.198511 0.127575i
\(417\) −1.04846 + 7.29219i −0.0513432 + 0.357100i
\(418\) 2.24997 4.92675i 0.110050 0.240975i
\(419\) 25.4226 7.46473i 1.24197 0.364676i 0.406217 0.913777i \(-0.366848\pi\)
0.835756 + 0.549101i \(0.185030\pi\)
\(420\) 0.157513 + 0.344905i 0.00768584 + 0.0168296i
\(421\) −6.51649 7.52043i −0.317594 0.366523i 0.574396 0.818577i \(-0.305237\pi\)
−0.891991 + 0.452054i \(0.850691\pi\)
\(422\) −1.03296 7.18439i −0.0502837 0.349731i
\(423\) 7.11192 + 2.08825i 0.345793 + 0.101534i
\(424\) −1.31494 + 1.51752i −0.0638591 + 0.0736973i
\(425\) 13.3913 + 8.60605i 0.649572 + 0.417455i
\(426\) −0.933267 0.599775i −0.0452170 0.0290592i
\(427\) −15.4918 + 17.8785i −0.749702 + 0.865202i
\(428\) −2.95135 0.866594i −0.142659 0.0418884i
\(429\) 4.31648 + 30.0218i 0.208402 + 1.44947i
\(430\) −0.654241 0.755034i −0.0315503 0.0364110i
\(431\) 3.64438 + 7.98009i 0.175544 + 0.384387i 0.976868 0.213843i \(-0.0685981\pi\)
−0.801324 + 0.598230i \(0.795871\pi\)
\(432\) 0.959493 0.281733i 0.0461636 0.0135549i
\(433\) −3.31942 + 7.26851i −0.159521 + 0.349303i −0.972468 0.233035i \(-0.925134\pi\)
0.812947 + 0.582337i \(0.197862\pi\)
\(434\) 0.281584 1.95846i 0.0135165 0.0940091i
\(435\) 0.885331 0.568968i 0.0424484 0.0272799i
\(436\) 1.94929 0.0933542
\(437\) 3.86752 1.42523i 0.185008 0.0681782i
\(438\) 13.1859 0.630048
\(439\) −1.18670 + 0.762644i −0.0566380 + 0.0363990i −0.568653 0.822577i \(-0.692535\pi\)
0.512015 + 0.858976i \(0.328899\pi\)
\(440\) 0.174226 1.21177i 0.00830589 0.0577687i
\(441\) −1.32529 + 2.90199i −0.0631092 + 0.138190i
\(442\) 14.8137 4.34968i 0.704614 0.206893i
\(443\) 5.23153 + 11.4554i 0.248557 + 0.544265i 0.992250 0.124257i \(-0.0396547\pi\)
−0.743693 + 0.668522i \(0.766927\pi\)
\(444\) 4.51223 + 5.20739i 0.214141 + 0.247132i
\(445\) −0.264066 1.83662i −0.0125179 0.0870641i
\(446\) −19.8943 5.84149i −0.942022 0.276603i
\(447\) 10.2376 11.8149i 0.484224 0.558824i
\(448\) 1.64200 + 1.05525i 0.0775772 + 0.0498558i
\(449\) −32.2649 20.7354i −1.52267 0.978562i −0.991329 0.131406i \(-0.958051\pi\)
−0.531344 0.847156i \(-0.678313\pi\)
\(450\) 3.24959 3.75023i 0.153187 0.176787i
\(451\) 5.87744 + 1.72577i 0.276758 + 0.0812634i
\(452\) 2.44059 + 16.9747i 0.114796 + 0.798421i
\(453\) 13.5583 + 15.6472i 0.637026 + 0.735168i
\(454\) −8.74464 19.1481i −0.410406 0.898664i
\(455\) 1.75098 0.514133i 0.0820871 0.0241029i
\(456\) −0.357028 + 0.781782i −0.0167194 + 0.0366103i
\(457\) −3.79066 + 26.3646i −0.177319 + 1.23328i 0.685614 + 0.727966i \(0.259534\pi\)
−0.862933 + 0.505318i \(0.831375\pi\)
\(458\) −1.61180 + 1.03584i −0.0753144 + 0.0484016i
\(459\) 3.20786 0.149730
\(460\) 0.748008 0.555382i 0.0348761 0.0258948i
\(461\) 7.65301 0.356436 0.178218 0.983991i \(-0.442967\pi\)
0.178218 + 0.983991i \(0.442967\pi\)
\(462\) −10.3478 + 6.65013i −0.481423 + 0.309392i
\(463\) 0.590819 4.10924i 0.0274577 0.190972i −0.971476 0.237137i \(-0.923791\pi\)
0.998934 + 0.0461649i \(0.0147000\pi\)
\(464\) 2.25047 4.92785i 0.104476 0.228770i
\(465\) 0.188947 0.0554799i 0.00876222 0.00257282i
\(466\) −5.99468 13.1265i −0.277698 0.608074i
\(467\) 21.0312 + 24.2712i 0.973206 + 1.12314i 0.992367 + 0.123323i \(0.0393551\pi\)
−0.0191607 + 0.999816i \(0.506099\pi\)
\(468\) −0.684944 4.76389i −0.0316616 0.220211i
\(469\) −13.2842 3.90058i −0.613406 0.180112i
\(470\) −0.942934 + 1.08820i −0.0434943 + 0.0501951i
\(471\) 3.34509 + 2.14976i 0.154133 + 0.0990555i
\(472\) −7.23664 4.65071i −0.333093 0.214066i
\(473\) 21.2239 24.4937i 0.975876 1.12622i
\(474\) 1.08403 + 0.318300i 0.0497911 + 0.0146200i
\(475\) 0.606946 + 4.22140i 0.0278486 + 0.193691i
\(476\) 4.10025 + 4.73194i 0.187935 + 0.216888i
\(477\) 0.834139 + 1.82651i 0.0381926 + 0.0836302i
\(478\) 9.41935 2.76577i 0.430831 0.126503i
\(479\) 0.754017 1.65107i 0.0344519 0.0754391i −0.891624 0.452777i \(-0.850433\pi\)
0.926076 + 0.377338i \(0.123161\pi\)
\(480\) −0.0276463 + 0.192284i −0.00126188 + 0.00877654i
\(481\) 27.8981 17.9290i 1.27204 0.817492i
\(482\) −14.9039 −0.678853
\(483\) −9.13893 2.02567i −0.415836 0.0921713i
\(484\) 28.7146 1.30521
\(485\) 0.183188 0.117728i 0.00831815 0.00534575i
\(486\) 0.142315 0.989821i 0.00645553 0.0448992i
\(487\) −6.72443 + 14.7245i −0.304713 + 0.667229i −0.998602 0.0528530i \(-0.983169\pi\)
0.693889 + 0.720082i \(0.255896\pi\)
\(488\) −11.6292 + 3.41464i −0.526428 + 0.154573i
\(489\) −10.1830 22.2977i −0.460491 1.00834i
\(490\) −0.405850 0.468376i −0.0183344 0.0211591i
\(491\) 0.202307 + 1.40708i 0.00913000 + 0.0635006i 0.993877 0.110491i \(-0.0352424\pi\)
−0.984747 + 0.173992i \(0.944333\pi\)
\(492\) −0.932638 0.273847i −0.0420466 0.0123460i
\(493\) 11.3804 13.1336i 0.512546 0.591509i
\(494\) 3.47978 + 2.23632i 0.156563 + 0.100617i
\(495\) −1.02989 0.661868i −0.0462899 0.0297487i
\(496\) 0.663836 0.766107i 0.0298071 0.0343992i
\(497\) −2.07763 0.610046i −0.0931942 0.0273643i
\(498\) 0.570276 + 3.96635i 0.0255547 + 0.177737i
\(499\) −13.4737 15.5495i −0.603167 0.696092i 0.369253 0.929329i \(-0.379614\pi\)
−0.972420 + 0.233237i \(0.925068\pi\)
\(500\) 0.803947 + 1.76040i 0.0359536 + 0.0787274i
\(501\) −1.87527 + 0.550628i −0.0837808 + 0.0246002i
\(502\) −0.890944 + 1.95089i −0.0397648 + 0.0870727i
\(503\) −2.10448 + 14.6370i −0.0938342 + 0.652631i 0.887569 + 0.460674i \(0.152392\pi\)
−0.981403 + 0.191957i \(0.938517\pi\)
\(504\) 1.64200 1.05525i 0.0731405 0.0470045i
\(505\) −2.44214 −0.108674
\(506\) 21.2869 + 21.4547i 0.946316 + 0.953778i
\(507\) −10.1638 −0.451391
\(508\) −18.1810 + 11.6842i −0.806652 + 0.518403i
\(509\) −4.71769 + 32.8122i −0.209108 + 1.45438i 0.566969 + 0.823739i \(0.308116\pi\)
−0.776077 + 0.630638i \(0.782793\pi\)
\(510\) −0.258872 + 0.566850i −0.0114630 + 0.0251006i
\(511\) 24.6944 7.25094i 1.09242 0.320763i
\(512\) 0.415415 + 0.909632i 0.0183589 + 0.0402004i
\(513\) 0.562819 + 0.649528i 0.0248491 + 0.0286774i
\(514\) 2.25552 + 15.6875i 0.0994866 + 0.691945i
\(515\) 3.61533 + 1.06156i 0.159311 + 0.0467778i
\(516\) −3.36783 + 3.88668i −0.148260 + 0.171102i
\(517\) −39.2959 25.2539i −1.72823 1.11067i
\(518\) 11.3140 + 7.27106i 0.497108 + 0.319472i
\(519\) 4.02193 4.64155i 0.176543 0.203742i
\(520\) 0.897086 + 0.263408i 0.0393398 + 0.0115512i
\(521\) 4.12229 + 28.6712i 0.180601 + 1.25611i 0.855347 + 0.518056i \(0.173344\pi\)
−0.674746 + 0.738050i \(0.735747\pi\)
\(522\) −3.54765 4.09421i −0.155276 0.179198i
\(523\) 13.9867 + 30.6266i 0.611595 + 1.33921i 0.921477 + 0.388432i \(0.126983\pi\)
−0.309882 + 0.950775i \(0.600290\pi\)
\(524\) 14.3512 4.21390i 0.626937 0.184085i
\(525\) 4.02354 8.81032i 0.175602 0.384514i
\(526\) −0.0185874 + 0.129278i −0.000810450 + 0.00563680i
\(527\) 2.73561 1.75807i 0.119165 0.0765827i
\(528\) −6.30195 −0.274257
\(529\) −0.180643 + 22.9993i −0.00785404 + 0.999969i
\(530\) −0.390071 −0.0169436
\(531\) −7.23664 + 4.65071i −0.314043 + 0.201823i
\(532\) −0.238735 + 1.66044i −0.0103505 + 0.0719892i
\(533\) −1.94338 + 4.25542i −0.0841773 + 0.184323i
\(534\) −9.16467 + 2.69099i −0.396594 + 0.116451i
\(535\) −0.248226 0.543540i −0.0107318 0.0234993i
\(536\) −4.64510 5.36073i −0.200638 0.231548i
\(537\) 0.920906 + 6.40504i 0.0397400 + 0.276398i
\(538\) 22.9979 + 6.75279i 0.991510 + 0.291134i
\(539\) 13.1660 15.1944i 0.567099 0.654467i
\(540\) 0.163423 + 0.105026i 0.00703262 + 0.00451959i
\(541\) −33.8175 21.7332i −1.45393 0.934383i −0.999039 0.0438352i \(-0.986042\pi\)
−0.454890 0.890548i \(-0.650321\pi\)
\(542\) −2.10988 + 2.43493i −0.0906271 + 0.104589i
\(543\) 3.12935 + 0.918861i 0.134293 + 0.0394321i
\(544\) 0.456526 + 3.17521i 0.0195734 + 0.136136i
\(545\) 0.247978 + 0.286182i 0.0106222 + 0.0122587i
\(546\) −3.90242 8.54510i −0.167008 0.365696i
\(547\) −21.7806 + 6.39537i −0.931272 + 0.273446i −0.711969 0.702211i \(-0.752196\pi\)
−0.219303 + 0.975657i \(0.570378\pi\)
\(548\) 7.54269 16.5162i 0.322208 0.705536i
\(549\) −1.72487 + 11.9968i −0.0736159 + 0.512010i
\(550\) −26.3076 + 16.9069i −1.12176 + 0.720912i
\(551\) 4.65598 0.198352
\(552\) −3.37782 3.40446i −0.143770 0.144903i
\(553\) 2.20519 0.0937741
\(554\) −10.9385 + 7.02973i −0.464731 + 0.298665i
\(555\) −0.190493 + 1.32491i −0.00808599 + 0.0562393i
\(556\) −3.06044 + 6.70142i −0.129791 + 0.284203i
\(557\) −3.79597 + 1.11460i −0.160841 + 0.0472270i −0.361162 0.932503i \(-0.617620\pi\)
0.200321 + 0.979730i \(0.435802\pi\)
\(558\) −0.421108 0.922099i −0.0178269 0.0390355i
\(559\) 16.2090 + 18.7061i 0.685566 + 0.791185i
\(560\) 0.0539615 + 0.375310i 0.00228029 + 0.0158598i
\(561\) −19.3969 5.69544i −0.818938 0.240462i
\(562\) −6.36426 + 7.34475i −0.268460 + 0.309820i
\(563\) −22.8941 14.7132i −0.964873 0.620086i −0.0395303 0.999218i \(-0.512586\pi\)
−0.925342 + 0.379132i \(0.876223\pi\)
\(564\) 6.23551 + 4.00732i 0.262562 + 0.168738i
\(565\) −2.18163 + 2.51773i −0.0917818 + 0.105922i
\(566\) −19.1752 5.63035i −0.805995 0.236661i
\(567\) −0.277777 1.93198i −0.0116655 0.0811356i
\(568\) −0.726488 0.838411i −0.0304827 0.0351790i
\(569\) −8.57486 18.7763i −0.359477 0.787144i −0.999818 0.0190542i \(-0.993935\pi\)
0.640342 0.768090i \(-0.278793\pi\)
\(570\) −0.160195 + 0.0470375i −0.00670983 + 0.00197018i
\(571\) 12.6110 27.6142i 0.527753 1.15562i −0.438667 0.898650i \(-0.644549\pi\)
0.966420 0.256968i \(-0.0827235\pi\)
\(572\) −4.31648 + 30.0218i −0.180481 + 1.25527i
\(573\) 19.2257 12.3556i 0.803165 0.516162i
\(574\) −1.89722 −0.0791884
\(575\) −23.2343 5.14995i −0.968936 0.214768i
\(576\) 1.00000 0.0416667
\(577\) −11.8754 + 7.63182i −0.494377 + 0.317717i −0.763964 0.645259i \(-0.776749\pi\)
0.269586 + 0.962976i \(0.413113\pi\)
\(578\) 0.954880 6.64134i 0.0397178 0.276243i
\(579\) 7.03771 15.4104i 0.292477 0.640436i
\(580\) 1.00977 0.296494i 0.0419283 0.0123112i
\(581\) 3.24910 + 7.11454i 0.134795 + 0.295161i
\(582\) −0.734062 0.847152i −0.0304278 0.0351156i
\(583\) −1.80087 12.5253i −0.0745843 0.518745i
\(584\) 12.6518 + 3.71491i 0.523536 + 0.153724i
\(585\) 0.612268 0.706595i 0.0253142 0.0292141i
\(586\) −15.0434 9.66778i −0.621435 0.399372i
\(587\) 30.7510 + 19.7625i 1.26923 + 0.815685i 0.989520 0.144399i \(-0.0461249\pi\)
0.279711 + 0.960084i \(0.409761\pi\)
\(588\) −2.08919 + 2.41106i −0.0861568 + 0.0994303i
\(589\) 0.835937 + 0.245453i 0.0344442 + 0.0101137i
\(590\) −0.237820 1.65407i −0.00979088 0.0680970i
\(591\) 0.821721 + 0.948317i 0.0338011 + 0.0390085i
\(592\) 2.86236 + 6.26770i 0.117642 + 0.257601i
\(593\) −6.37440 + 1.87169i −0.261765 + 0.0768612i −0.409982 0.912094i \(-0.634465\pi\)
0.148216 + 0.988955i \(0.452647\pi\)
\(594\) −2.61792 + 5.73246i −0.107415 + 0.235205i
\(595\) −0.173101 + 1.20394i −0.00709644 + 0.0493568i
\(596\) 13.1516 8.45201i 0.538710 0.346208i
\(597\) −24.8140 −1.01557
\(598\) −18.5321 + 13.7597i −0.757833 + 0.562677i
\(599\) 28.0099 1.14445 0.572226 0.820096i \(-0.306080\pi\)
0.572226 + 0.820096i \(0.306080\pi\)
\(600\) 4.17452 2.68280i 0.170424 0.109525i
\(601\) −2.50280 + 17.4074i −0.102091 + 0.710061i 0.872913 + 0.487876i \(0.162228\pi\)
−0.975004 + 0.222185i \(0.928681\pi\)
\(602\) −4.16994 + 9.13089i −0.169954 + 0.372147i
\(603\) −6.80594 + 1.99840i −0.277159 + 0.0813813i
\(604\) 8.60082 + 18.8332i 0.349962 + 0.766311i
\(605\) 3.65291 + 4.21568i 0.148512 + 0.171392i
\(606\) 1.78910 + 12.4435i 0.0726772 + 0.505481i
\(607\) 22.6391 + 6.64743i 0.918891 + 0.269811i 0.706779 0.707435i \(-0.250148\pi\)
0.212112 + 0.977245i \(0.431966\pi\)
\(608\) −0.562819 + 0.649528i −0.0228253 + 0.0263418i
\(609\) −8.89539 5.71672i −0.360459 0.231653i
\(610\) −1.98071 1.27293i −0.0801967 0.0515393i
\(611\) 23.3614 26.9605i 0.945101 1.09070i
\(612\) 3.07792 + 0.903759i 0.124418 + 0.0365323i
\(613\) −4.69550 32.6579i −0.189650 1.31904i −0.832916 0.553399i \(-0.813330\pi\)
0.643267 0.765642i \(-0.277579\pi\)
\(614\) 8.19485 + 9.45736i 0.330717 + 0.381668i
\(615\) −0.0784406 0.171761i −0.00316303 0.00692607i
\(616\) −11.8022 + 3.46544i −0.475524 + 0.139627i
\(617\) −15.8099 + 34.6189i −0.636484 + 1.39371i 0.266418 + 0.963858i \(0.414160\pi\)
−0.902901 + 0.429848i \(0.858567\pi\)
\(618\) 2.76038 19.1989i 0.111039 0.772292i
\(619\) −7.14317 + 4.59063i −0.287108 + 0.184513i −0.676265 0.736658i \(-0.736403\pi\)
0.389157 + 0.921171i \(0.372766\pi\)
\(620\) 0.196924 0.00790866
\(621\) −4.50000 + 1.65831i −0.180579 + 0.0665458i
\(622\) 5.45773 0.218835
\(623\) −15.6837 + 10.0793i −0.628354 + 0.403818i
\(624\) 0.684944 4.76389i 0.0274197 0.190708i
\(625\) 10.1508 22.2272i 0.406033 0.889087i
\(626\) 22.9543 6.73999i 0.917438 0.269384i
\(627\) −2.24997 4.92675i −0.0898552 0.196755i
\(628\) 2.60393 + 3.00510i 0.103908 + 0.119916i
\(629\) 3.14563 + 21.8784i 0.125425 + 0.872347i
\(630\) 0.363811 + 0.106824i 0.0144946 + 0.00425599i
\(631\) −7.29960 + 8.42419i −0.290593 + 0.335362i −0.882209 0.470858i \(-0.843945\pi\)
0.591617 + 0.806220i \(0.298490\pi\)
\(632\) 0.950444 + 0.610813i 0.0378066 + 0.0242968i
\(633\) −6.10604 3.92412i −0.242693 0.155970i
\(634\) 10.5580 12.1846i 0.419313 0.483912i
\(635\) −4.02828 1.18281i −0.159858 0.0469384i
\(636\) 0.285763 + 1.98753i 0.0113313 + 0.0788106i
\(637\) 10.0550 + 11.6041i 0.398395 + 0.459772i
\(638\) 14.1824 + 31.0551i 0.561485 + 1.22948i
\(639\) −1.06444 + 0.312548i −0.0421086 + 0.0123642i
\(640\) −0.0806993 + 0.176707i −0.00318992 + 0.00698495i
\(641\) 5.38460 37.4507i 0.212679 1.47921i −0.551482 0.834187i \(-0.685937\pi\)
0.764160 0.645026i \(-0.223154\pi\)
\(642\) −2.58765 + 1.66298i −0.102126 + 0.0656326i
\(643\) −22.3733 −0.882317 −0.441158 0.897429i \(-0.645432\pi\)
−0.441158 + 0.897429i \(0.645432\pi\)
\(644\) −8.19804 4.51835i −0.323048 0.178048i
\(645\) −0.999053 −0.0393377
\(646\) −2.31933 + 1.49054i −0.0912528 + 0.0586446i
\(647\) 1.55788 10.8353i 0.0612465 0.425979i −0.936011 0.351970i \(-0.885512\pi\)
0.997258 0.0740083i \(-0.0235791\pi\)
\(648\) 0.415415 0.909632i 0.0163190 0.0357337i
\(649\) 52.0148 15.2729i 2.04176 0.599515i
\(650\) −9.92126 21.7245i −0.389144 0.852106i
\(651\) −1.29571 1.49533i −0.0507828 0.0586064i
\(652\) −3.48854 24.2633i −0.136622 0.950226i
\(653\) −5.55361 1.63069i −0.217329 0.0638137i 0.171255 0.985227i \(-0.445218\pi\)
−0.388585 + 0.921413i \(0.627036\pi\)
\(654\) 1.27652 1.47318i 0.0499157 0.0576058i
\(655\) 2.44434 + 1.57088i 0.0955083 + 0.0613794i
\(656\) −0.817708 0.525509i −0.0319261 0.0205177i
\(657\) 8.63495 9.96526i 0.336881 0.388782i
\(658\) 13.8814 + 4.07594i 0.541153 + 0.158897i
\(659\) 1.18327 + 8.22980i 0.0460935 + 0.320588i 0.999803 + 0.0198575i \(0.00632124\pi\)
−0.953709 + 0.300730i \(0.902770\pi\)
\(660\) −0.801699 0.925210i −0.0312061 0.0360137i
\(661\) −5.05499 11.0689i −0.196616 0.430530i 0.785486 0.618880i \(-0.212413\pi\)
−0.982102 + 0.188350i \(0.939686\pi\)
\(662\) 0.496914 0.145907i 0.0193131 0.00567085i
\(663\) 6.41361 14.0439i 0.249084 0.545418i
\(664\) −0.570276 + 3.96635i −0.0221310 + 0.153924i
\(665\) −0.274145 + 0.176182i −0.0106309 + 0.00683206i
\(666\) 6.89037 0.266996
\(667\) −9.17495 + 24.3070i −0.355255 + 0.941172i
\(668\) −1.95444 −0.0756194
\(669\) −17.4427 + 11.2097i −0.674373 + 0.433393i
\(670\) 0.196103 1.36392i 0.00757611 0.0526930i
\(671\) 31.7296 69.4781i 1.22491 2.68217i
\(672\) 1.87279 0.549899i 0.0722443 0.0212128i
\(673\) 2.02362 + 4.43110i 0.0780047 + 0.170807i 0.944616 0.328177i \(-0.106434\pi\)
−0.866612 + 0.498983i \(0.833707\pi\)
\(674\) 0.347154 + 0.400637i 0.0133719 + 0.0154320i
\(675\) −0.706204 4.91175i −0.0271818 0.189053i
\(676\) −9.75211 2.86348i −0.375081 0.110134i
\(677\) 13.1011 15.1195i 0.503517 0.581090i −0.445910 0.895078i \(-0.647120\pi\)
0.949427 + 0.313988i \(0.101665\pi\)
\(678\) 14.4268 + 9.27157i 0.554060 + 0.356073i
\(679\) −1.84059 1.18287i −0.0706353 0.0453946i
\(680\) −0.408086 + 0.470956i −0.0156494 + 0.0180604i
\(681\) −20.1977 5.93057i −0.773977 0.227260i
\(682\) 0.909153 + 6.32330i 0.0348133 + 0.242131i
\(683\) 15.7090 + 18.1292i 0.601089 + 0.693693i 0.972002 0.234974i \(-0.0755006\pi\)
−0.370913 + 0.928668i \(0.620955\pi\)
\(684\) 0.357028 + 0.781782i 0.0136513 + 0.0298922i
\(685\) 3.38433 0.993730i 0.129309 0.0379685i
\(686\) −8.26256 + 18.0925i −0.315466 + 0.690774i
\(687\) −0.272668 + 1.89645i −0.0104029 + 0.0723540i
\(688\) −4.32641 + 2.78042i −0.164943 + 0.106002i
\(689\) 9.66410 0.368173
\(690\) 0.0701117 0.929005i 0.00266911 0.0353666i
\(691\) 16.5438 0.629356 0.314678 0.949199i \(-0.398104\pi\)
0.314678 + 0.949199i \(0.398104\pi\)
\(692\) 5.16669 3.32043i 0.196408 0.126224i
\(693\) −1.75054 + 12.1753i −0.0664974 + 0.462500i
\(694\) 11.1383 24.3896i 0.422806 0.925816i
\(695\) −1.37319 + 0.403204i −0.0520880 + 0.0152944i
\(696\) −2.25047 4.92785i −0.0853040 0.186790i
\(697\) −2.04191 2.35648i −0.0773427 0.0892582i
\(698\) −0.207393 1.44245i −0.00784994 0.0545975i
\(699\) −13.8460 4.06556i −0.523705 0.153774i
\(700\) 6.34271 7.31988i 0.239732 0.276665i
\(701\) −13.4451 8.64063i −0.507814 0.326352i 0.261521 0.965198i \(-0.415776\pi\)
−0.769335 + 0.638846i \(0.779412\pi\)
\(702\) −4.04885 2.60204i −0.152814 0.0982076i
\(703\) −3.87803 + 4.47549i −0.146263 + 0.168796i
\(704\) −6.04668 1.77546i −0.227893 0.0669153i
\(705\) 0.204919 + 1.42524i 0.00771770 + 0.0536778i
\(706\) −14.7041 16.9694i −0.553394 0.638651i
\(707\) 10.1932 + 22.3201i 0.383356 + 0.839434i
\(708\) −8.25376 + 2.42352i −0.310195 + 0.0910816i
\(709\) 2.66064 5.82599i 0.0999224 0.218800i −0.853068 0.521800i \(-0.825261\pi\)
0.952991 + 0.303000i \(0.0979882\pi\)
\(710\) 0.0306702 0.213316i 0.00115103 0.00800561i
\(711\) 0.950444 0.610813i 0.0356444 0.0229073i
\(712\) −9.55158 −0.357960
\(713\) −2.92868 + 3.88041i −0.109680 + 0.145322i
\(714\) 6.26126 0.234322
\(715\) −4.95672 + 3.18549i −0.185371 + 0.119131i
\(716\) −0.920906 + 6.40504i −0.0344159 + 0.239368i
\(717\) 4.07813 8.92987i 0.152301 0.333492i
\(718\) −0.162153 + 0.0476124i −0.00605149 + 0.00177688i
\(719\) −17.3216 37.9290i −0.645986 1.41451i −0.895024 0.446019i \(-0.852841\pi\)
0.249037 0.968494i \(-0.419886\pi\)
\(720\) 0.127214 + 0.146813i 0.00474100 + 0.00547141i
\(721\) −5.38785 37.4733i −0.200654 1.39558i
\(722\) 17.5216 + 5.14482i 0.652088 + 0.191470i
\(723\) −9.75997 + 11.2636i −0.362977 + 0.418898i
\(724\) 2.74372 + 1.76328i 0.101969 + 0.0655318i
\(725\) −22.6151 14.5338i −0.839903 0.539773i
\(726\) 18.8040 21.7010i 0.697884 0.805401i
\(727\) 9.60066 + 2.81901i 0.356069 + 0.104551i 0.454875 0.890555i \(-0.349684\pi\)
−0.0988057 + 0.995107i \(0.531502\pi\)
\(728\) −1.33691 9.29840i −0.0495491 0.344622i
\(729\) −0.654861 0.755750i −0.0242541 0.0279907i
\(730\) 1.06409 + 2.33004i 0.0393839 + 0.0862388i
\(731\) −15.8292 + 4.64787i −0.585463 + 0.171908i
\(732\) −5.03489 + 11.0249i −0.186095 + 0.407491i
\(733\) 3.32462 23.1232i 0.122798 0.854076i −0.831565 0.555427i \(-0.812555\pi\)
0.954363 0.298649i \(-0.0965360\pi\)
\(734\) 15.0006 9.64029i 0.553682 0.355830i
\(735\) −0.619750 −0.0228598
\(736\) −2.28185 4.21819i −0.0841101 0.155485i
\(737\) 44.7014 1.64660
\(738\) −0.817708 + 0.525509i −0.0301002 + 0.0193442i
\(739\) −3.80336 + 26.4530i −0.139909 + 0.973088i 0.792033 + 0.610479i \(0.209023\pi\)
−0.931941 + 0.362609i \(0.881886\pi\)
\(740\) −0.556048 + 1.21757i −0.0204407 + 0.0447589i
\(741\) 3.96887 1.16536i 0.145800 0.0428108i
\(742\) 1.62811 + 3.56507i 0.0597700 + 0.130878i
\(743\) 9.93499 + 11.4656i 0.364479 + 0.420632i 0.908135 0.418676i \(-0.137506\pi\)
−0.543656 + 0.839308i \(0.682960\pi\)
\(744\) −0.144265 1.00339i −0.00528902 0.0367860i
\(745\) 2.91394 + 0.855609i 0.106758 + 0.0313471i
\(746\) 17.9356 20.6987i 0.656667 0.757835i
\(747\) 3.37102 + 2.16642i 0.123339 + 0.0792653i
\(748\) −17.0066 10.9295i −0.621823 0.399621i
\(749\) −3.93164 + 4.53735i −0.143659 + 0.165791i
\(750\) 1.85689 + 0.545233i 0.0678042 + 0.0199091i
\(751\) −3.08374 21.4478i −0.112527 0.782643i −0.965447 0.260601i \(-0.916079\pi\)
0.852920 0.522042i \(-0.174830\pi\)
\(752\) 4.85393 + 5.60174i 0.177005 + 0.204274i
\(753\) 0.890944 + 1.95089i 0.0324678 + 0.0710946i
\(754\) −25.0172 + 7.34571i −0.911072 + 0.267515i
\(755\) −1.67081 + 3.65856i −0.0608070 + 0.133149i
\(756\) 0.277777 1.93198i 0.0101027 0.0702655i
\(757\) −3.40872 + 2.19065i −0.123892 + 0.0796206i −0.601119 0.799159i \(-0.705278\pi\)
0.477227 + 0.878780i \(0.341642\pi\)
\(758\) −2.73604 −0.0993774
\(759\) 30.1543 2.03769i 1.09453 0.0739634i
\(760\) −0.166958 −0.00605620
\(761\) −37.1929 + 23.9024i −1.34824 + 0.866461i −0.997545 0.0700285i \(-0.977691\pi\)
−0.350695 + 0.936490i \(0.614055\pi\)
\(762\) −3.07568 + 21.3918i −0.111420 + 0.774944i
\(763\) 1.58054 3.46090i 0.0572194 0.125293i
\(764\) 21.9279 6.43861i 0.793323 0.232941i
\(765\) 0.258872 + 0.566850i 0.00935953 + 0.0204945i
\(766\) 9.43713 + 10.8910i 0.340977 + 0.393509i
\(767\) 5.89204 + 40.9800i 0.212749 + 1.47970i
\(768\) 0.959493 + 0.281733i 0.0346227 + 0.0101661i
\(769\) −5.76963 + 6.65850i −0.208058 + 0.240112i &min