Properties

Label 804.2.bd.a.23.5
Level 804
Weight 2
Character 804.23
Analytic conductor 6.420
Analytic rank 0
Dimension 2640
CM no
Inner twists 8

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Newspace parameters

Level: \( N \) = \( 804 = 2^{2} \cdot 3 \cdot 67 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 804.bd (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.41997232251\)
Analytic rank: \(0\)
Dimension: \(2640\)
Relative dimension: \(132\) over \(\Q(\zeta_{66})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 23.5
Character \(\chi\) = 804.23
Dual form 804.2.bd.a.35.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.39933 + 0.204660i) q^{2} +(-1.70511 + 0.304307i) q^{3} +(1.91623 - 0.572774i) q^{4} +(-2.29127 + 1.04639i) q^{5} +(2.32372 - 0.774794i) q^{6} +(0.382733 + 0.401398i) q^{7} +(-2.56420 + 1.19367i) q^{8} +(2.81479 - 1.03775i) q^{9} +O(q^{10})\) \(q+(-1.39933 + 0.204660i) q^{2} +(-1.70511 + 0.304307i) q^{3} +(1.91623 - 0.572774i) q^{4} +(-2.29127 + 1.04639i) q^{5} +(2.32372 - 0.774794i) q^{6} +(0.382733 + 0.401398i) q^{7} +(-2.56420 + 1.19367i) q^{8} +(2.81479 - 1.03775i) q^{9} +(2.99208 - 1.93317i) q^{10} +(-3.69354 - 0.352690i) q^{11} +(-3.09308 + 1.55976i) q^{12} +(-1.78432 - 0.343899i) q^{13} +(-0.617718 - 0.483357i) q^{14} +(3.58844 - 2.48146i) q^{15} +(3.34386 - 2.19513i) q^{16} +(1.28775 - 2.49788i) q^{17} +(-3.72643 + 2.02823i) q^{18} +(-1.63406 + 1.71376i) q^{19} +(-3.79126 + 3.31750i) q^{20} +(-0.774749 - 0.567960i) q^{21} +(5.24065 - 0.262393i) q^{22} +(-3.38982 + 1.35708i) q^{23} +(4.00900 - 2.81565i) q^{24} +(0.880693 - 1.01637i) q^{25} +(2.56723 + 0.116048i) q^{26} +(-4.48373 + 2.62605i) q^{27} +(0.963313 + 0.549952i) q^{28} +(1.80736 + 1.04348i) q^{29} +(-4.51355 + 4.20678i) q^{30} +(-1.19828 - 6.21724i) q^{31} +(-4.22990 + 3.75606i) q^{32} +(6.40521 - 0.522596i) q^{33} +(-1.29076 + 3.75890i) q^{34} +(-1.29696 - 0.519226i) q^{35} +(4.79939 - 3.60081i) q^{36} +(2.53488 + 4.39054i) q^{37} +(1.93585 - 2.73253i) q^{38} +(3.14711 + 0.0434043i) q^{39} +(4.62624 - 5.41818i) q^{40} +(9.71647 - 0.462853i) q^{41} +(1.20037 + 0.636200i) q^{42} +(-1.51606 - 2.35904i) q^{43} +(-7.27967 + 1.43973i) q^{44} +(-5.36356 + 5.32315i) q^{45} +(4.46573 - 2.59276i) q^{46} +(-2.11981 - 1.66704i) q^{47} +(-5.03365 + 4.76050i) q^{48} +(0.318437 - 6.68481i) q^{49} +(-1.02437 + 1.60248i) q^{50} +(-1.43562 + 4.65102i) q^{51} +(-3.61614 + 0.363021i) q^{52} +(1.46092 - 2.27324i) q^{53} +(5.73676 - 4.59234i) q^{54} +(8.83195 - 3.05677i) q^{55} +(-1.46054 - 0.572410i) q^{56} +(2.26475 - 3.41940i) q^{57} +(-2.74265 - 1.09028i) q^{58} +(5.90144 + 6.81062i) q^{59} +(5.45496 - 6.81041i) q^{60} +(12.4227 - 1.18622i) q^{61} +(2.94920 + 8.45471i) q^{62} +(1.49387 + 0.732671i) q^{63} +(5.15029 - 6.12164i) q^{64} +(4.44821 - 1.07912i) q^{65} +(-8.85603 + 2.04218i) q^{66} +(7.02019 + 4.20915i) q^{67} +(1.03690 - 5.52409i) q^{68} +(5.36705 - 3.34552i) q^{69} +(1.92114 + 0.461129i) q^{70} +(10.5094 - 5.41795i) q^{71} +(-5.97897 + 6.02096i) q^{72} +(1.20612 - 0.115171i) q^{73} +(-4.44570 - 5.62501i) q^{74} +(-1.19239 + 2.00103i) q^{75} +(-2.14964 + 4.21990i) q^{76} +(-1.27207 - 1.61757i) q^{77} +(-4.41272 + 0.583352i) q^{78} +(-9.81221 + 3.39604i) q^{79} +(-5.36473 + 8.52862i) q^{80} +(6.84613 - 5.84213i) q^{81} +(-13.5018 + 2.63626i) q^{82} +(4.24506 - 5.96136i) q^{83} +(-1.80991 - 0.644584i) q^{84} +(-0.336824 + 7.07080i) q^{85} +(2.60427 + 2.99079i) q^{86} +(-3.39929 - 1.22926i) q^{87} +(9.89198 - 3.50451i) q^{88} +(10.4511 - 1.50264i) q^{89} +(6.41594 - 8.54653i) q^{90} +(-0.544876 - 0.847844i) q^{91} +(-5.71838 + 4.54208i) q^{92} +(3.93514 + 10.2364i) q^{93} +(3.30748 + 1.89889i) q^{94} +(1.95083 - 5.63655i) q^{95} +(6.06944 - 7.69168i) q^{96} +(2.46443 + 4.26851i) q^{97} +(0.922520 + 9.41941i) q^{98} +(-10.7626 + 2.84024i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 2640q - 42q^{4} - 19q^{6} - 32q^{9} + O(q^{10}) \) \( 2640q - 42q^{4} - 19q^{6} - 32q^{9} - 46q^{10} - 24q^{12} - 88q^{13} - 26q^{16} - 23q^{18} - 128q^{22} - 22q^{24} + 160q^{25} + 44q^{28} - 18q^{30} - 44q^{33} - 6q^{34} - 35q^{36} - 48q^{37} - 92q^{40} - 10q^{42} + 40q^{45} + 46q^{46} - 11q^{48} - 216q^{49} - 76q^{52} + 129q^{54} - 42q^{57} - 56q^{58} - 90q^{60} - 80q^{61} - 48q^{64} - 74q^{66} - 4q^{69} + 96q^{70} - 20q^{72} - 216q^{73} + 76q^{76} - 66q^{78} - 16q^{81} + 20q^{82} - 55q^{84} - 104q^{85} - 30q^{88} - 64q^{90} - 192q^{93} - 32q^{94} - 205q^{96} - 64q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).

\(n\) \(269\) \(337\) \(403\)
\(\chi(n)\) \(-1\) \(e\left(\frac{14}{33}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.39933 + 0.204660i −0.989473 + 0.144717i
\(3\) −1.70511 + 0.304307i −0.984445 + 0.175692i
\(4\) 1.91623 0.572774i 0.958114 0.286387i
\(5\) −2.29127 + 1.04639i −1.02469 + 0.467959i −0.855598 0.517641i \(-0.826810\pi\)
−0.169090 + 0.985601i \(0.554083\pi\)
\(6\) 2.32372 0.774794i 0.948656 0.316308i
\(7\) 0.382733 + 0.401398i 0.144659 + 0.151714i 0.792077 0.610421i \(-0.209000\pi\)
−0.647418 + 0.762135i \(0.724151\pi\)
\(8\) −2.56420 + 1.19367i −0.906583 + 0.422027i
\(9\) 2.81479 1.03775i 0.938265 0.345918i
\(10\) 2.99208 1.93317i 0.946180 0.611323i
\(11\) −3.69354 0.352690i −1.11364 0.106340i −0.478027 0.878345i \(-0.658648\pi\)
−0.635616 + 0.772005i \(0.719254\pi\)
\(12\) −3.09308 + 1.55976i −0.892895 + 0.450265i
\(13\) −1.78432 0.343899i −0.494881 0.0953805i −0.0642966 0.997931i \(-0.520480\pi\)
−0.430584 + 0.902550i \(0.641693\pi\)
\(14\) −0.617718 0.483357i −0.165092 0.129183i
\(15\) 3.58844 2.48146i 0.926532 0.640710i
\(16\) 3.34386 2.19513i 0.835965 0.548782i
\(17\) 1.28775 2.49788i 0.312324 0.605824i −0.679465 0.733708i \(-0.737788\pi\)
0.991789 + 0.127884i \(0.0408184\pi\)
\(18\) −3.72643 + 2.02823i −0.878327 + 0.478059i
\(19\) −1.63406 + 1.71376i −0.374880 + 0.393163i −0.883965 0.467554i \(-0.845135\pi\)
0.509085 + 0.860716i \(0.329984\pi\)
\(20\) −3.79126 + 3.31750i −0.847751 + 0.741815i
\(21\) −0.774749 0.567960i −0.169064 0.123939i
\(22\) 5.24065 0.262393i 1.11731 0.0559423i
\(23\) −3.38982 + 1.35708i −0.706827 + 0.282971i −0.697092 0.716982i \(-0.745523\pi\)
−0.00973519 + 0.999953i \(0.503099\pi\)
\(24\) 4.00900 2.81565i 0.818335 0.574742i
\(25\) 0.880693 1.01637i 0.176139 0.203275i
\(26\) 2.56723 + 0.116048i 0.503475 + 0.0227588i
\(27\) −4.48373 + 2.62605i −0.862895 + 0.505383i
\(28\) 0.963313 + 0.549952i 0.182049 + 0.103931i
\(29\) 1.80736 + 1.04348i 0.335619 + 0.193770i 0.658333 0.752727i \(-0.271262\pi\)
−0.322714 + 0.946496i \(0.604595\pi\)
\(30\) −4.51355 + 4.20678i −0.824057 + 0.768050i
\(31\) −1.19828 6.21724i −0.215217 1.11665i −0.915357 0.402644i \(-0.868091\pi\)
0.700140 0.714006i \(1.74688\pi\)
\(32\) −4.22990 + 3.75606i −0.747747 + 0.663984i
\(33\) 6.40521 0.522596i 1.11500 0.0909723i
\(34\) −1.29076 + 3.75890i −0.221363 + 0.644645i
\(35\) −1.29696 0.519226i −0.219227 0.0877652i
\(36\) 4.79939 3.60081i 0.799898 0.600136i
\(37\) 2.53488 + 4.39054i 0.416732 + 0.721801i 0.995609 0.0936142i \(-0.0298420\pi\)
−0.578877 + 0.815415i \(0.696509\pi\)
\(38\) 1.93585 2.73253i 0.314036 0.443275i
\(39\) 3.14711 + 0.0434043i 0.503941 + 0.00695025i
\(40\) 4.62624 5.41818i 0.731473 0.856690i
\(41\) 9.71647 0.462853i 1.51746 0.0722855i 0.727782 0.685809i \(-0.240551\pi\)
0.789677 + 0.613523i \(0.210248\pi\)
\(42\) 1.20037 + 0.636200i 0.185221 + 0.0981679i
\(43\) −1.51606 2.35904i −0.231197 0.359750i 0.706200 0.708013i \(-0.250408\pi\)
−0.937397 + 0.348263i \(0.886772\pi\)
\(44\) −7.27967 + 1.43973i −1.09745 + 0.217047i
\(45\) −5.36356 + 5.32315i −0.799553 + 0.793528i
\(46\) 4.46573 2.59276i 0.658436 0.382282i
\(47\) −2.11981 1.66704i −0.309206 0.243162i 0.451482 0.892280i \(-0.350896\pi\)
−0.760688 + 0.649118i \(0.775138\pi\)
\(48\) −5.03365 + 4.76050i −0.726545 + 0.687119i
\(49\) 0.318437 6.68481i 0.0454910 0.954974i
\(50\) −1.02437 + 1.60248i −0.144867 + 0.226625i
\(51\) −1.43562 + 4.65102i −0.201028 + 0.651274i
\(52\) −3.61614 + 0.363021i −0.501468 + 0.0503420i
\(53\) 1.46092 2.27324i 0.200673 0.312253i −0.726303 0.687375i \(-0.758763\pi\)
0.926975 + 0.375122i \(0.122399\pi\)
\(54\) 5.73676 4.59234i 0.780674 0.624938i
\(55\) 8.83195 3.05677i 1.19090 0.412174i
\(56\) −1.46054 0.572410i −0.195173 0.0764915i
\(57\) 2.26475 3.41940i 0.299973 0.452911i
\(58\) −2.74265 1.09028i −0.360128 0.143160i
\(59\) 5.90144 + 6.81062i 0.768301 + 0.886667i 0.996207 0.0870161i \(-0.0277332\pi\)
−0.227905 + 0.973683i \(0.573188\pi\)
\(60\) 5.45496 6.81041i 0.704233 0.879220i
\(61\) 12.4227 1.18622i 1.59056 0.151880i 0.738109 0.674682i \(-0.235719\pi\)
0.852454 + 0.522801i \(0.175113\pi\)
\(62\) 2.94920 + 8.45471i 0.374549 + 1.07375i
\(63\) 1.49387 + 0.732671i 0.188210 + 0.0923079i
\(64\) 5.15029 6.12164i 0.643786 0.765206i
\(65\) 4.44821 1.07912i 0.551733 0.133849i
\(66\) −8.85603 + 2.04218i −1.09010 + 0.251374i
\(67\) 7.02019 + 4.20915i 0.857652 + 0.514230i
\(68\) 1.03690 5.52409i 0.125742 0.669894i
\(69\) 5.36705 3.34552i 0.646117 0.402753i
\(70\) 1.92114 + 0.461129i 0.229620 + 0.0551155i
\(71\) 10.5094 5.41795i 1.24723 0.642993i 0.297101 0.954846i \(-0.403980\pi\)
0.950130 + 0.311853i \(0.100950\pi\)
\(72\) −5.97897 + 6.02096i −0.704628 + 0.709577i
\(73\) 1.20612 0.115171i 0.141166 0.0134797i −0.0242337 0.999706i \(-0.507715\pi\)
0.165400 + 0.986227i \(0.447109\pi\)
\(74\) −4.44570 5.62501i −0.516802 0.653895i
\(75\) −1.19239 + 2.00103i −0.137685 + 0.231059i
\(76\) −2.14964 + 4.21990i −0.246581 + 0.484055i
\(77\) −1.27207 1.61757i −0.144966 0.184339i
\(78\) −4.41272 + 0.583352i −0.499642 + 0.0660516i
\(79\) −9.81221 + 3.39604i −1.10396 + 0.382084i −0.817454 0.575994i \(-0.804615\pi\)
−0.286506 + 0.958078i \(0.592494\pi\)
\(80\) −5.36473 + 8.52862i −0.599796 + 0.953528i
\(81\) 6.84613 5.84213i 0.760681 0.649126i
\(82\) −13.5018 + 2.63626i −1.49102 + 0.291126i
\(83\) 4.24506 5.96136i 0.465956 0.654344i −0.513006 0.858385i \(-0.671468\pi\)
0.978962 + 0.204041i \(0.0654075\pi\)
\(84\) −1.80991 0.644584i −0.197477 0.0703299i
\(85\) −0.336824 + 7.07080i −0.0365337 + 0.766936i
\(86\) 2.60427 + 2.99079i 0.280826 + 0.322505i
\(87\) −3.39929 1.22926i −0.364442 0.131790i
\(88\) 9.89198 3.50451i 1.05449 0.373582i
\(89\) 10.4511 1.50264i 1.10781 0.159279i 0.435961 0.899965i \(-0.356408\pi\)
0.671851 + 0.740686i \(0.265499\pi\)
\(90\) 6.41594 8.54653i 0.676299 0.900883i
\(91\) −0.544876 0.847844i −0.0571186 0.0888782i
\(92\) −5.71838 + 4.54208i −0.596182 + 0.473544i
\(93\) 3.93514 + 10.2364i 0.408055 + 1.06147i
\(94\) 3.30748 + 1.89889i 0.341141 + 0.195855i
\(95\) 1.95083 5.63655i 0.200151 0.578298i
\(96\) 6.06944 7.69168i 0.619459 0.785029i
\(97\) 2.46443 + 4.26851i 0.250225 + 0.433402i 0.963588 0.267393i \(-0.0861622\pi\)
−0.713363 + 0.700795i \(0.752829\pi\)
\(98\) 0.922520 + 9.41941i 0.0931886 + 0.951504i
\(99\) −10.7626 + 2.84024i −1.08168 + 0.285454i
\(100\) 1.10546 2.45204i 0.110546 0.245204i
\(101\) −2.75260 0.667773i −0.273894 0.0664459i 0.0964594 0.995337i \(-0.469248\pi\)
−0.370353 + 0.928891i \(0.620763\pi\)
\(102\) 1.05703 6.80212i 0.104661 0.673510i
\(103\) 0.282492 + 1.46571i 0.0278348 + 0.144421i 0.993187 0.116528i \(-0.0371766\pi\)
−0.965353 + 0.260949i \(0.915965\pi\)
\(104\) 4.98586 1.24807i 0.488904 0.122383i
\(105\) 2.36947 + 0.490661i 0.231236 + 0.0478836i
\(106\) −1.57906 + 3.47999i −0.153372 + 0.338007i
\(107\) 1.89962 4.15960i 0.183644 0.402124i −0.795311 0.606202i \(-0.792692\pi\)
0.978955 + 0.204078i \(0.0654197\pi\)
\(108\) −7.08773 + 7.60027i −0.682017 + 0.731336i
\(109\) 0.421620 0.486575i 0.0403839 0.0466055i −0.735198 0.677852i \(-0.762911\pi\)
0.775582 + 0.631247i \(0.217456\pi\)
\(110\) −11.7332 + 6.08497i −1.11871 + 0.580179i
\(111\) −5.65833 6.71497i −0.537064 0.637357i
\(112\) 2.16093 + 0.502073i 0.204188 + 0.0474414i
\(113\) 4.80201 3.41949i 0.451735 0.321679i −0.331445 0.943475i \(-0.607536\pi\)
0.783179 + 0.621796i \(0.213597\pi\)
\(114\) −2.46931 + 5.24836i −0.231272 + 0.491554i
\(115\) 6.34697 6.65651i 0.591858 0.620723i
\(116\) 4.06100 + 0.964339i 0.377054 + 0.0895366i
\(117\) −5.37937 + 0.883680i −0.497323 + 0.0816962i
\(118\) −9.65190 8.32249i −0.888529 0.766147i
\(119\) 1.49551 0.439120i 0.137093 0.0402541i
\(120\) −6.23945 + 10.6464i −0.569582 + 0.971879i
\(121\) 2.71662 + 0.523585i 0.246965 + 0.0475986i
\(122\) −17.1406 + 4.20235i −1.55184 + 0.380463i
\(123\) −16.4268 + 3.74601i −1.48115 + 0.337766i
\(124\) −5.85724 11.2273i −0.525996 1.00824i
\(125\) 2.59390 8.83400i 0.232005 0.790137i
\(126\) −2.24036 0.719511i −0.199587 0.0640991i
\(127\) 7.80220 + 8.18271i 0.692333 + 0.726098i 0.972255 0.233924i \(-0.0751569\pi\)
−0.279921 + 0.960023i \(0.590308\pi\)
\(128\) −5.95407 + 9.62024i −0.526271 + 0.850317i
\(129\) 3.30293 + 3.56107i 0.290806 + 0.313535i
\(130\) −6.00365 + 2.42042i −0.526555 + 0.212285i
\(131\) 1.76116 12.2491i 0.153873 1.07021i −0.755776 0.654831i \(-0.772740\pi\)
0.909649 0.415379i \(-0.136351\pi\)
\(132\) 11.9745 4.67015i 1.04225 0.406484i
\(133\) −1.31331 −0.113878
\(134\) −10.6850 4.45323i −0.923042 0.384700i
\(135\) 7.52559 10.7087i 0.647699 0.921660i
\(136\) −0.320393 + 7.94222i −0.0274734 + 0.681039i
\(137\) −6.23893 0.897022i −0.533028 0.0766378i −0.129455 0.991585i \(-0.541323\pi\)
−0.403573 + 0.914948i \(0.632232\pi\)
\(138\) −6.82556 + 5.77990i −0.581030 + 0.492017i
\(139\) −1.10489 + 0.504586i −0.0937154 + 0.0427984i −0.461721 0.887025i \(-0.652768\pi\)
0.368006 + 0.929824i \(0.380041\pi\)
\(140\) −2.78268 0.252089i −0.235179 0.0213054i
\(141\) 4.12180 + 2.19741i 0.347118 + 0.185055i
\(142\) −13.5972 + 9.73233i −1.14105 + 0.816719i
\(143\) 6.46916 + 1.89952i 0.540978 + 0.158846i
\(144\) 7.13427 9.64895i 0.594523 0.804079i
\(145\) −5.23305 0.499695i −0.434581 0.0414974i
\(146\) −1.66419 + 0.408008i −0.137729 + 0.0337669i
\(147\) 1.49127 + 11.4952i 0.122998 + 0.948112i
\(148\) 7.37220 + 6.96137i 0.605991 + 0.572221i
\(149\) 3.17899 + 10.8266i 0.260433 + 0.886953i 0.981072 + 0.193643i \(0.0620303\pi\)
−0.720639 + 0.693310i \(0.756152\pi\)
\(150\) 1.25901 3.04413i 0.102798 0.248552i
\(151\) 4.30316 8.34696i 0.350186 0.679266i −0.646295 0.763088i \(-0.723682\pi\)
0.996481 + 0.0838219i \(0.0267127\pi\)
\(152\) 2.14441 6.34496i 0.173934 0.514644i
\(153\) 1.03255 8.36737i 0.0834770 0.676462i
\(154\) 2.11109 + 2.00316i 0.170117 + 0.161419i
\(155\) 9.25123 + 12.9915i 0.743077 + 1.04351i
\(156\) 6.05544 1.71941i 0.484823 0.137663i
\(157\) −20.0628 + 8.03193i −1.60119 + 0.641018i −0.988760 0.149510i \(-0.952230\pi\)
−0.612426 + 0.790528i \(0.709806\pi\)
\(158\) 13.0355 6.76034i 1.03704 0.537824i
\(159\) −1.79927 + 4.32069i −0.142691 + 0.342653i
\(160\) 5.76154 13.0323i 0.455490 1.03029i
\(161\) −1.84213 0.841271i −0.145180 0.0663014i
\(162\) −8.38432 + 9.57618i −0.658734 + 0.752376i
\(163\) 19.1731 + 11.0696i 1.50175 + 0.867036i 0.999998 + 0.00202570i \(0.000644801\pi\)
0.501753 + 0.865011i \(0.332689\pi\)
\(164\) 18.3539 6.45227i 1.43320 0.503838i
\(165\) −14.1292 + 7.89975i −1.09996 + 0.614995i
\(166\) −4.72018 + 9.21068i −0.366357 + 0.714888i
\(167\) 0.136417 0.562318i 0.0105563 0.0435135i −0.966290 0.257457i \(-0.917116\pi\)
0.976846 + 0.213943i \(0.0686307\pi\)
\(168\) 2.66457 + 0.531567i 0.205576 + 0.0410113i
\(169\) −9.00326 3.60436i −0.692558 0.277258i
\(170\) −0.975787 9.96329i −0.0748394 0.764149i
\(171\) −2.82109 + 6.51963i −0.215734 + 0.498569i
\(172\) −4.25632 3.65210i −0.324541 0.278470i
\(173\) −16.4853 5.70563i −1.25336 0.433791i −0.381873 0.924215i \(-0.624721\pi\)
−0.871484 + 0.490423i \(0.836842\pi\)
\(174\) 5.00830 + 1.02443i 0.379678 + 0.0776618i
\(175\) 0.745041 0.0354907i 0.0563198 0.00268284i
\(176\) −13.1249 + 6.92845i −0.989325 + 0.522251i
\(177\) −12.1351 9.81700i −0.912131 0.737891i
\(178\) −14.3169 + 4.24161i −1.07310 + 0.317922i
\(179\) −1.70940 11.8891i −0.127767 0.888636i −0.948376 0.317147i \(-0.897275\pi\)
0.820610 0.571489i \(1.80637\pi\)
\(180\) −7.22885 + 13.2725i −0.538807 + 0.989272i
\(181\) −17.2925 13.5990i −1.28534 1.01081i −0.998605 0.0527976i \(-0.983186\pi\)
−0.286739 0.958009i \(-0.592571\pi\)
\(182\) 0.935980 + 1.07490i 0.0693795 + 0.0796766i
\(183\) −20.8211 + 5.80296i −1.53914 + 0.428967i
\(184\) 7.07229 7.52618i 0.521376 0.554837i
\(185\) −10.4023 7.40746i −0.764794 0.544607i
\(186\) −7.60154 13.5187i −0.557372 0.991242i
\(187\) −5.63731 + 8.77183i −0.412241 + 0.641460i
\(188\) −5.01688 1.98025i −0.365893 0.144425i
\(189\) −2.77016 0.794690i −0.201500 0.0578052i
\(190\) −1.57627 + 8.28663i −0.114354 + 0.601175i
\(191\) −1.63644 + 1.28691i −0.118409 + 0.0931176i −0.675607 0.737262i \(-0.736119\pi\)
0.557199 + 0.830379i \(0.311876\pi\)
\(192\) −6.91894 + 12.0053i −0.499332 + 0.866411i
\(193\) 3.24327 + 3.74294i 0.233456 + 0.269422i 0.860375 0.509662i \(-0.170230\pi\)
−0.626919 + 0.779085i \(0.715684\pi\)
\(194\) −4.32213 5.46867i −0.310311 0.392628i
\(195\) −7.25630 + 3.19365i −0.519634 + 0.228702i
\(196\) −3.21869 12.9920i −0.229906 0.928002i
\(197\) −2.36888 4.59499i −0.168776 0.327379i 0.789245 0.614079i \(-0.210472\pi\)
−0.958021 + 0.286699i \(0.907442\pi\)
\(198\) 14.4790 6.17709i 1.02898 0.438986i
\(199\) 7.15748 1.73639i 0.507381 0.123089i 0.0261062 0.999659i \(-0.491689\pi\)
0.481274 + 0.876570i \(0.340174\pi\)
\(200\) −1.04506 + 3.65745i −0.0738968 + 0.258621i
\(201\) −13.2511 5.04077i −0.934658 0.355549i
\(202\) 3.98845 + 0.371085i 0.280626 + 0.0261094i
\(203\) 0.272885 + 1.12485i 0.0191528 + 0.0789488i
\(204\) −0.0869988 + 9.73471i −0.00609114 + 0.681566i
\(205\) −21.7788 + 11.2277i −1.52109 + 0.784179i
\(206\) −0.695272 1.99319i −0.0484419 0.138872i
\(207\) −8.13334 + 7.33771i −0.565306 + 0.510006i
\(208\) −6.72142 + 2.76686i −0.466046 + 0.191847i
\(209\) 6.63990 5.75351i 0.459292 0.397978i
\(210\) −3.41608 0.201658i −0.235732 0.0139158i
\(211\) −8.09823 10.2977i −0.557505 0.708926i 0.422842 0.906203i \(-0.361032\pi\)
−0.980348 + 0.197278i \(0.936790\pi\)
\(212\) 1.49741 5.19282i 0.102842 0.356644i
\(213\) −16.2709 + 12.4363i −1.11486 + 0.852120i
\(214\) −1.80689 + 6.20941i −0.123516 + 0.424467i
\(215\) 5.94218 + 3.81881i 0.405254 + 0.260441i
\(216\) 8.36257 12.0858i 0.569001 0.822337i
\(217\) 2.03697 2.86053i 0.138279 0.194185i
\(218\) −0.490401 + 0.767166i −0.0332141 + 0.0519591i
\(219\) −2.02153 + 0.563411i −0.136602 + 0.0380718i
\(220\) 15.1732 10.9162i 1.02298 0.735968i
\(221\) −3.15677 + 4.01415i −0.212347 + 0.270021i
\(222\) 9.29213 + 8.23840i 0.623647 + 0.552925i
\(223\) −19.6772 + 2.82915i −1.31768 + 0.189454i −0.765050 0.643971i \(-0.777286\pi\)
−0.552632 + 0.833425i \(0.686377\pi\)
\(224\) −3.12660 0.260307i −0.208904 0.0173925i
\(225\) 1.42422 3.77483i 0.0949482 0.251655i
\(226\) −6.01974 + 5.76777i −0.400427 + 0.383666i
\(227\) −1.27040 26.6690i −0.0843195 1.77009i −0.505232 0.862984i \(-0.668593\pi\)
0.420912 0.907101i \(1.63829\pi\)
\(228\) 2.38123 7.84954i 0.157701 0.519848i
\(229\) −0.888025 + 2.56578i −0.0586823 + 0.169551i −0.970532 0.240973i \(-0.922533\pi\)
0.911849 + 0.410525i \(0.134655\pi\)
\(230\) −7.51916 + 10.6136i −0.495799 + 0.699841i
\(231\) 2.66125 + 2.37103i 0.175098 + 0.156002i
\(232\) −5.88002 0.518299i −0.386042 0.0340280i
\(233\) −9.39412 + 23.4654i −0.615429 + 1.53727i 0.212928 + 0.977068i \(0.431700\pi\)
−0.828357 + 0.560200i \(0.810724\pi\)
\(234\) 7.34664 2.33750i 0.480265 0.152807i
\(235\) 6.60143 + 1.60149i 0.430630 + 0.104470i
\(236\) 15.2094 + 9.67052i 0.990050 + 0.629497i
\(237\) 15.6975 8.77655i 1.01966 0.570098i
\(238\) −2.00283 + 0.920544i −0.129824 + 0.0596700i
\(239\) −8.24252 + 14.2765i −0.533165 + 0.923468i 0.466085 + 0.884740i \(0.345664\pi\)
−0.999250 + 0.0387283i \(0.987669\pi\)
\(240\) 6.55214 16.1748i 0.422939 1.04408i
\(241\) 7.20366 15.7738i 0.464029 1.01608i −0.522522 0.852626i \(-0.675009\pi\)
0.986551 0.163455i \(-0.0522640\pi\)
\(242\) −3.90859 0.176682i −0.251254 0.0113576i
\(243\) −9.89560 + 12.0448i −0.634803 + 0.772674i
\(244\) 23.1253 9.38847i 1.48044 0.601035i
\(245\) 6.26529 + 15.6499i 0.400275 + 0.999838i
\(246\) 22.2198 8.60381i 1.41668 0.548559i
\(247\) 3.50505 2.49593i 0.223021 0.158813i
\(248\) 10.4940 + 14.5119i 0.666368 + 0.921509i
\(249\) −5.42421 + 11.4566i −0.343745 + 0.726031i
\(250\) −1.82174 + 12.8925i −0.115217 + 0.815394i
\(251\) 19.2924 + 9.94590i 1.21772 + 0.627780i 0.942695 0.333656i \(-0.108283\pi\)
0.275028 + 0.961436i \(0.411313\pi\)
\(252\) 3.28224 + 0.548318i 0.206762 + 0.0345408i
\(253\) 12.9991 3.81687i 0.817245 0.239965i
\(254\) −12.5925 9.85348i −0.790124 0.618263i
\(255\) −1.57738 12.1590i −0.0987791 0.761425i
\(256\) 6.36281 14.6804i 0.397676 0.917526i
\(257\) 0.414061 4.33624i 0.0258284 0.270487i −0.973328 0.229418i \(-0.926318\pi\)
0.999156 0.0410689i \(-0.0130763\pi\)
\(258\) −5.35068 4.30712i −0.333119 0.268150i
\(259\) −0.792176 + 2.69790i −0.0492234 + 0.167639i
\(260\) 7.90569 4.61567i 0.490290 0.286251i
\(261\) 6.17023 + 1.06159i 0.381928 + 0.0657105i
\(262\) 0.0424766 + 17.5009i 0.00262421 + 1.08121i
\(263\) 11.2174 + 24.5627i 0.691695 + 1.51460i 0.849759 + 0.527172i \(0.176748\pi\)
−0.158063 + 0.987429i \(0.550525\pi\)
\(264\) −15.8005 + 8.98577i −0.972451 + 0.553036i
\(265\) −0.968677 + 6.73729i −0.0595053 + 0.413869i
\(266\) 1.83775 0.268782i 0.112680 0.0164801i
\(267\) −17.3630 + 5.74251i −1.06260 + 0.351436i
\(268\) 15.8632 + 4.04472i 0.968997 + 0.247071i
\(269\) 23.0643i 1.40626i −0.711063 0.703129i \(-0.751786\pi\)
0.711063 0.703129i \(-0.248214\pi\)
\(270\) −8.33910 + 16.5252i −0.507502 + 1.00569i
\(271\) 30.4980 + 4.38495i 1.85262 + 0.266367i 0.976468 0.215664i \(-0.0691915\pi\)
0.876154 + 0.482031i \(0.160101\pi\)
\(272\) −1.17712 11.1793i −0.0713736 0.677846i
\(273\) 1.18708 + 1.27986i 0.0718453 + 0.0774605i
\(274\) 8.91388 0.0216349i 0.538507 0.00130701i
\(275\) −3.61134 + 3.44340i −0.217772 + 0.207645i
\(276\) 8.36827 9.48488i 0.503711 0.570923i
\(277\) 22.8807 + 6.71837i 1.37477 + 0.403668i 0.883944 0.467592i \(-0.154878\pi\)
0.490822 + 0.871260i \(0.336697\pi\)
\(278\) 1.44283 0.932207i 0.0865352 0.0559100i
\(279\) −9.82487 16.2567i −0.588200 0.973266i
\(280\) 3.94546 0.216749i 0.235787 0.0129533i
\(281\) −1.97978 + 10.2721i −0.118104 + 0.612781i 0.873852 + 0.486193i \(0.161615\pi\)
−0.991955 + 0.126588i \(0.959597\pi\)
\(282\) −6.21747 2.23132i −0.370245 0.132873i
\(283\) −8.35232 28.4454i −0.496494 1.69090i −0.701941 0.712235i \(-0.747683\pi\)
0.205447 0.978668i \(1.56586\pi\)
\(284\) 17.0351 16.4015i 1.01085 0.973251i
\(285\) −1.61113 + 10.2046i −0.0954352 + 0.604467i
\(286\) −9.44122 1.33406i −0.558271 0.0788848i
\(287\) 3.90460 + 3.72303i 0.230481 + 0.219763i
\(288\) −8.00842 + 14.9621i −0.471901 + 0.881652i
\(289\) 5.27986 + 7.41453i 0.310580 + 0.436149i
\(290\) 7.42501 0.371761i 0.436011 0.0218306i
\(291\) −5.50106 6.52834i −0.322478 0.382698i
\(292\) 2.24524 0.911530i 0.131393 0.0533432i
\(293\) −13.0274 11.2883i −0.761067 0.659469i 0.185256 0.982690i \(-0.440689\pi\)
−0.946323 + 0.323222i \(0.895234\pi\)
\(294\) −4.43939 15.7804i −0.258911 0.920331i
\(295\) −20.6483 9.42978i −1.20219 0.549023i
\(296\) −11.7408 8.23243i −0.682422 0.478500i
\(297\) 17.4870 8.11804i 1.01470 0.471056i
\(298\) −6.66423 14.4994i −0.386048 0.839927i
\(299\) 6.51523 1.25571i 0.376785 0.0726194i
\(300\) −1.13875 + 4.51740i −0.0657457 + 0.260812i
\(301\) 0.366668 1.51143i 0.0211344 0.0871172i
\(302\) −4.31323 + 12.5608i −0.248198 + 0.722793i
\(303\) 4.89669 + 0.300990i 0.281307 + 0.0172914i
\(304\) −1.70216 + 9.31755i −0.0976258 + 0.534398i
\(305\) −27.2225 + 15.7169i −1.55876 + 0.899949i
\(306\) 0.267591 + 11.9200i 0.0152972 + 0.681422i
\(307\) 21.9851 + 7.60913i 1.25476 + 0.434276i 0.871969 0.489561i \(-0.162843\pi\)
0.382788 + 0.923836i \(0.374964\pi\)
\(308\) −3.36407 2.37102i −0.191686 0.135101i
\(309\) −0.927707 2.41323i −0.0527754 0.137284i
\(310\) −15.6043 16.2860i −0.886267 0.924985i
\(311\) 9.08343 5.83757i 0.515074 0.331018i −0.257146 0.966372i \(-0.582782\pi\)
0.772221 + 0.635354i \(0.219146\pi\)
\(312\) −8.12164 + 3.64532i −0.459797 + 0.206376i
\(313\) −3.37788 23.4937i −0.190929 1.32794i −0.829555 0.558425i \(-0.811406\pi\)
0.638626 0.769518i \(-0.279503\pi\)
\(314\) 26.4306 15.3454i 1.49156 0.865989i
\(315\) −4.18951 0.115584i −0.236052 0.00651241i
\(316\) −16.8573 + 12.1278i −0.948296 + 0.682240i
\(317\) 16.1419 + 0.768935i 0.906622 + 0.0431877i 0.495711 0.868488i \(-0.334908\pi\)
0.410911 + 0.911675i \(0.365211\pi\)
\(318\) 1.63349 6.41429i 0.0916014 0.359695i
\(319\) −6.30754 4.49158i −0.353154 0.251480i
\(320\) −5.39509 + 19.4156i −0.301595 + 1.08536i
\(321\) −1.97327 + 7.67064i −0.110137 + 0.428133i
\(322\) 2.74991 + 0.800202i 0.153247 + 0.0445935i
\(323\) 2.17650 + 6.28857i 0.121103 + 0.349906i
\(324\) 9.77253 15.1161i 0.542918 0.839786i
\(325\) −1.92097 + 1.51067i −0.106556 + 0.0837966i
\(326\) −29.0949 11.5660i −1.61142 0.640581i
\(327\) −0.570839 + 0.957966i −0.0315675 + 0.0529756i
\(328\) −24.3625 + 12.7851i −1.34520 + 0.705942i
\(329\) −0.142174 1.48892i −0.00783833 0.0820867i
\(330\) 18.1547 13.9460i 0.999381 0.767703i
\(331\) −4.81011 9.33032i −0.264388 0.512841i 0.718851 0.695164i \(-0.244668\pi\)
−0.983239 + 0.182324i \(0.941638\pi\)
\(332\) 4.72000 13.8548i 0.259044 0.760380i
\(333\) 11.6915 + 9.72789i 0.640689 + 0.533085i
\(334\) −0.0758075 + 0.814786i −0.00414800 + 0.0445831i
\(335\) −20.4896 2.29847i −1.11946 0.125579i
\(336\) −3.83740 0.198503i −0.209347 0.0108292i
\(337\) −4.36229 17.9816i −0.237629 0.979520i −0.958191 0.286129i \(-0.907631\pi\)
0.720562 0.693390i \(-0.243884\pi\)
\(338\) 13.3362 + 3.20107i 0.725392 + 0.174115i
\(339\) −7.14737 + 7.29190i −0.388192 + 0.396041i
\(340\) 3.40454 + 13.7422i 0.184637 + 0.745275i
\(341\) 2.23312 + 23.3862i 0.120930 + 1.26644i
\(342\) 2.61332 9.70045i 0.141312 0.524541i
\(343\) 5.73923 4.97308i 0.309890 0.268521i
\(344\) 6.70342 + 4.23938i 0.361424 + 0.228572i
\(345\) −8.79666 + 13.2815i −0.473596 + 0.715053i
\(346\) 24.2361 + 4.61014i 1.30294 + 0.247843i
\(347\) −7.76232 22.4277i −0.416703 1.20398i −0.936796 0.349875i \(-0.886224\pi\)
0.520094 0.854109i \(1.67410\pi\)
\(348\) −7.21790 0.408511i −0.386920 0.0218985i
\(349\) 21.4470 + 13.7832i 1.14803 + 0.737795i 0.969246 0.246093i \(-0.0791467\pi\)
0.178786 + 0.983888i \(0.442783\pi\)
\(350\) −1.03529 + 0.202143i −0.0553387 + 0.0108050i
\(351\) 8.90351 3.14375i 0.475234 0.167801i
\(352\) 16.9480 12.3813i 0.903332 0.659926i
\(353\) −0.595472 0.0283658i −0.0316938 0.00150976i 0.0317290 0.999497i \(-0.489899\pi\)
−0.0634228 + 0.997987i \(0.520202\pi\)
\(354\) 18.9901 + 11.2536i 1.00931 + 0.598122i
\(355\) −18.4105 + 23.4109i −0.977129 + 1.24252i
\(356\) 19.1660 8.86550i 1.01580 0.469871i
\(357\) −2.41637 + 1.20384i −0.127888 + 0.0637141i
\(358\) 4.82525 + 16.2869i 0.255022 + 0.860792i
\(359\) 14.8840 9.56537i 0.785548 0.504841i −0.0853228 0.996353i \(-0.527192\pi\)
0.870871 + 0.491512i \(0.163556\pi\)
\(360\) 7.39917 20.0520i 0.389971 1.05683i
\(361\) 0.637259 + 13.3777i 0.0335399 + 0.704090i
\(362\) 26.9811 + 15.4903i 1.41809 + 0.814155i
\(363\) −4.79146 0.0660828i −0.251486 0.00346845i
\(364\) −1.52973 1.31257i −0.0801797 0.0687975i
\(365\) −2.64304 + 1.52596i −0.138343 + 0.0798725i
\(366\) 27.9478 12.3815i 1.46086 0.647191i
\(367\) 3.56422 8.90299i 0.186051 0.464732i −0.805792 0.592198i \(-0.798260\pi\)
0.991843 + 0.127466i \(0.0406844\pi\)
\(368\) −8.35613 + 11.9790i −0.435593 + 0.624448i
\(369\) 26.8695 11.3862i 1.39877 0.592739i
\(370\) 16.0723 + 8.23651i 0.835557 + 0.428196i
\(371\) 1.47162 0.283631i 0.0764025 0.0147254i
\(372\) 13.4038 + 17.3614i 0.694954 + 0.900147i
\(373\) −3.31657 + 5.74447i −0.171726 + 0.297438i −0.939023 0.343854i \(-0.888268\pi\)
0.767298 + 0.641291i \(0.221601\pi\)
\(374\) 6.09319 13.4284i 0.315072 0.694365i
\(375\) −1.73462 + 15.8523i −0.0895756 + 0.818608i
\(376\) 7.42553 + 1.74426i 0.382942 + 0.0899535i
\(377\) −2.86606 2.48345i −0.147610 0.127904i
\(378\) 4.03900 + 0.545088i 0.207744 + 0.0280363i
\(379\) 0.876611 + 2.18967i 0.0450285 + 0.112476i 0.949177 0.314742i \(-0.101918\pi\)
−0.904149 + 0.427218i \(0.859494\pi\)
\(380\) 0.509766 11.9183i 0.0261505 0.611396i
\(381\) −15.7937 11.5782i −0.809134 0.593167i
\(382\) 2.02653 2.13572i 0.103686 0.109273i
\(383\) 18.1649 + 17.3202i 0.928185 + 0.885022i 0.993614 0.112835i \(-0.0359931\pi\)
−0.0654289 + 0.997857i \(0.520842\pi\)
\(384\) 7.22484 18.2154i 0.368691 0.929552i
\(385\) 4.60726 + 2.37521i 0.234808 + 0.121052i
\(386\) −5.30443 4.57382i −0.269988 0.232801i
\(387\) −6.71551 5.06691i −0.341369 0.257565i
\(388\) 7.16730 + 6.76789i 0.363864 + 0.343587i
\(389\) 1.07787 5.59253i 0.0546502 0.283552i −0.944314 0.329044i \(-0.893273\pi\)
0.998965 + 0.0454920i \(0.0144856\pi\)
\(390\) 9.50032 5.95403i 0.481067 0.301494i
\(391\) −0.975408 + 10.2149i −0.0493285 + 0.516592i
\(392\) 7.16295 + 17.5213i 0.361783 + 0.884961i
\(393\) 0.724531 + 21.4220i 0.0365478 + 1.08060i
\(394\) 4.25525 + 5.94507i 0.214376 + 0.299508i
\(395\) 18.9289 18.0486i 0.952415 0.908125i
\(396\) −18.9967 + 11.6070i −0.954620 + 0.583276i
\(397\) −12.9107 28.2704i −0.647968 1.41885i −0.893322 0.449418i \(-0.851631\pi\)
0.245354 0.969434i \(-0.421096\pi\)
\(398\) −9.66029 + 3.89463i −0.484226 + 0.195220i
\(399\) 2.23933 0.399650i 0.112107 0.0200075i
\(400\) 0.713842 5.33185i 0.0356921 0.266592i
\(401\) 21.4096i 1.06914i 0.845123 + 0.534571i \(0.179527\pi\)
−0.845123 + 0.534571i \(0.820473\pi\)
\(402\) 19.5742 + 4.34172i 0.976273 + 0.216545i
\(403\) 11.5056i 0.573136i
\(404\) −5.65709 + 0.297010i −0.281451 + 0.0147768i
\(405\) −9.57320 + 20.5496i −0.475696 + 1.02112i
\(406\) −0.612067 1.51818i −0.0303764 0.0753460i
\(407\) −7.81418 17.1107i −0.387335 0.848144i
\(408\) −1.87057 13.6398i −0.0926071 0.675273i
\(409\) 28.0364 26.7326i 1.38631 1.32184i 0.494680 0.869075i \(-0.335285\pi\)
0.891628 0.452768i \(-0.149563\pi\)
\(410\) 28.1777 20.1685i 1.39160 0.996052i
\(411\) 10.9110 0.369031i 0.538201 0.0182030i
\(412\) 1.38084 + 2.64683i 0.0680291 + 0.130400i
\(413\) −0.475100 + 4.97547i −0.0233781 + 0.244827i
\(414\) 9.87946 11.9324i 0.485549 0.586447i
\(415\) −3.48870 + 18.1011i −0.171253 + 0.888547i
\(416\) 8.83919 5.24735i 0.433377 0.257272i
\(417\) 1.73041 1.19660i 0.0847383 0.0585977i
\(418\) −8.11387 + 9.40996i −0.396862 + 0.460256i
\(419\) −11.8399 6.10389i −0.578417 0.298195i 0.144083 0.989566i \(-0.453977\pi\)
−0.722500 + 0.691371i \(0.757007\pi\)
\(420\) 4.82148 0.416950i 0.235264 0.0203451i
\(421\) −0.806541 0.769035i −0.0393084 0.0374805i 0.670170 0.742207i \(-0.266221\pi\)
−0.709479 + 0.704727i \(0.751070\pi\)
\(422\) 13.4396 + 12.7525i 0.654230 + 0.620783i
\(423\) −7.69681 2.49252i −0.374232 0.121191i
\(424\) −1.03260 + 7.57291i −0.0501473 + 0.367773i
\(425\) −1.40467 3.50869i −0.0681365 0.170197i
\(426\) 20.2231 20.7324i 0.979811 1.00449i
\(427\) 5.23072 + 4.53244i 0.253132 + 0.219340i
\(428\) 1.25761 9.05879i 0.0607887 0.437873i
\(429\) −11.6087 1.27027i −0.560471 0.0613292i
\(430\) −9.09661 4.12763i −0.438678 0.199052i
\(431\) 12.1487 21.0422i 0.585182 1.01357i −0.409670 0.912234i \(-0.634356\pi\)
0.994853 0.101332i \(-0.0323104\pi\)
\(432\) −9.22847 + 18.6235i −0.444005 + 0.896024i
\(433\) 5.13435 0.989566i 0.246741 0.0475555i −0.0643809 0.997925i \(-0.520507\pi\)
0.311122 + 0.950370i \(0.399295\pi\)
\(434\) −2.26495 + 4.41970i −0.108721 + 0.212152i
\(435\) 9.07498 0.740420i 0.435112 0.0355004i
\(436\) 0.529222 1.17388i 0.0253452 0.0562187i
\(437\) 3.21348 8.02689i 0.153722 0.383978i
\(438\) 2.71347 1.20212i 0.129654 0.0574397i
\(439\) −35.1604 + 20.2999i −1.67811 + 0.968859i −0.715250 + 0.698869i \(0.753687\pi\)
−0.962863 + 0.269990i \(0.912979\pi\)
\(440\) −18.9981 + 18.3806i −0.905701 + 0.876263i
\(441\) −6.04086 19.1468i −0.287660 0.911754i
\(442\) 3.59581 6.26318i 0.171035 0.297909i
\(443\) −0.674702 14.1637i −0.0320561 0.672940i −0.956519 0.291669i \(-0.905789\pi\)
0.924463 0.381271i \(1.87549\pi\)
\(444\) −14.6888 9.62648i −0.697100 0.456853i
\(445\) −22.3739 + 14.3789i −1.06063 + 0.681623i
\(446\) 26.9558 7.98605i 1.27639 0.378150i
\(447\) −8.71515 17.4932i −0.412212 0.827401i
\(448\) 4.42840 0.275636i 0.209222 0.0130226i
\(449\) 12.0049 15.2655i 0.566546 0.720422i −0.415388 0.909644i \(-0.636354\pi\)
0.981934 + 0.189222i \(0.0605966\pi\)
\(450\) −1.22039 + 5.57370i −0.0575299 + 0.262747i
\(451\) −36.0514 1.71734i −1.69759 0.0808664i
\(452\) 7.24314 9.30299i 0.340689 0.437576i
\(453\) −4.79731 + 15.5420i −0.225397 + 0.730225i
\(454\) 7.23580 + 37.0587i 0.339593 + 1.73925i
\(455\) 2.13563 + 1.37249i 0.100120 + 0.0643433i
\(456\) −1.72563 + 11.4714i −0.0808100 + 0.537198i
\(457\) 2.26014 + 6.53025i 0.105725 + 0.305472i 0.985439 0.170032i \(-0.0543870\pi\)
−0.879714 + 0.475504i \(0.842266\pi\)
\(458\) 0.717523 3.77211i 0.0335276 0.176259i
\(459\) 0.785637 + 14.5815i 0.0366704 + 0.680606i
\(460\) 8.34957 16.3908i 0.389301 0.764224i
\(461\) −19.5274 + 16.9206i −0.909483 + 0.788071i −0.977789 0.209593i \(-0.932786\pi\)
0.0683061 + 0.997664i \(0.478241\pi\)
\(462\) −4.20922 2.77319i −0.195830 0.129020i
\(463\) −0.953270 9.98309i −0.0443022 0.463954i −0.990217 0.139538i \(-0.955438\pi\)
0.945915 0.324416i \(1.89483\pi\)
\(464\) 8.33415 0.478139i 0.386903 0.0221971i
\(465\) −19.7278 19.3368i −0.914854 0.896721i
\(466\) 8.34300 34.7583i 0.386482 1.61015i
\(467\) 9.07646 + 37.4137i 0.420009 + 1.73130i 0.651670 + 0.758502i \(0.274069\pi\)
−0.231662 + 0.972796i \(0.574416\pi\)
\(468\) −9.80196 + 4.77449i −0.453096 + 0.220701i
\(469\) 0.997307 + 4.42887i 0.0460513 + 0.204506i
\(470\) −9.56532 0.889955i −0.441215 0.0410506i
\(471\) 31.7651 19.8006i 1.46366 0.912363i
\(472\) −23.2621 10.4194i −1.07073 0.479593i
\(473\) 4.76763 + 9.24790i 0.219216 + 0.425219i
\(474\) −20.1696 + 15.4939i −0.926422 + 0.711658i
\(475\) 0.302709 + 3.17011i 0.0138892 + 0.145455i
\(476\) 2.61421 1.69804i 0.119822 0.0778296i
\(477\) 1.75313 7.91477i 0.0802702 0.362392i
\(478\) 8.61215 21.6644i 0.393911 0.990905i
\(479\) −13.2279 + 10.4025i −0.604398 + 0.475304i −0.872849 0.487990i \(-0.837730\pi\)
0.268452 + 0.963293i \(0.413488\pi\)
\(480\) −5.85825 + 23.9747i −0.267391 + 1.09429i
\(481\) −3.01313 8.70587i −0.137387 0.396954i
\(482\) −6.85200 + 23.5470i −0.312100 + 1.07254i
\(483\) 3.39703 + 0.873886i 0.154570 + 0.0397632i
\(484\) 5.50555 0.552698i 0.250252 0.0251226i
\(485\) −10.1132 7.20158i −0.459217 0.327007i
\(486\) 11.3821 18.8798i 0.516301 0.856407i
\(487\) −14.5554 0.693359i −0.659568 0.0314191i −0.284870 0.958566i \(-0.591950\pi\)
−0.374698 + 0.927147i \(0.622253\pi\)
\(488\) −30.4384 + 17.8704i −1.37788 + 0.808953i
\(489\) −36.0607 13.0403i −1.63072 0.589704i
\(490\) −11.9701 20.6171i −0.540754 0.931386i
\(491\) 2.42887 + 16.8931i 0.109613 + 0.762377i 0.968285 + 0.249850i \(0.0803813\pi\)
−0.858671 + 0.512527i \(0.828710\pi\)
\(492\) −29.3319 + 16.5870i −1.32238 + 0.747802i
\(493\) 4.93391 3.17083i 0.222212 0.142807i
\(494\) −4.39389 + 4.20997i −0.197690 + 0.189416i
\(495\) 21.6879 17.7696i 0.974801 0.798683i
\(496\) −17.6545 18.1592i −0.792712 0.815373i
\(497\) 6.19703 + 2.14481i 0.277975 + 0.0962081i
\(498\) 5.24554 17.1416i 0.235058 0.768134i
\(499\) −10.4812 + 6.05131i −0.469202 + 0.270894i −0.715905 0.698197i \(-0.753986\pi\)
0.246704 + 0.969091i \(0.420653\pi\)
\(500\) −0.0893843 18.4137i −0.00399739 0.823484i
\(501\) −0.0614881 + 1.00033i −0.00274709 + 0.0446913i
\(502\) −29.0318 9.96918i −1.29575 0.444946i
\(503\) 3.13173 12.9092i 0.139637 0.575591i −0.858401 0.512979i \(-0.828542\pi\)
0.998038 0.0626119i \(-0.0199430\pi\)
\(504\) −4.70515 0.0955303i −0.209584 0.00425526i
\(505\) 7.00570 1.35024i 0.311750 0.0600848i
\(506\) −17.4088 + 8.00145i −0.773915 + 0.355708i
\(507\) 16.4484 + 3.40607i 0.730498 + 0.151269i
\(508\) 19.6376 + 11.2111i 0.871279 + 0.497410i
\(509\) 0.185601 + 0.0847611i 0.00822661 + 0.00375697i 0.419524 0.907744i \(-0.362197\pi\)
−0.411297 + 0.911501i \(0.634924\pi\)
\(510\) 4.69573 + 16.6916i 0.207930 + 0.739114i
\(511\) 0.507852 + 0.440057i 0.0224661 + 0.0194670i
\(512\) −5.89915 + 21.8449i −0.260708 + 0.965418i
\(513\) 2.82630 11.9752i 0.124784 0.528716i
\(514\) 0.308051 + 6.15255i 0.0135875 + 0.271378i
\(515\) −2.18097 3.06274i −0.0961050 0.134961i
\(516\) 8.36885 + 4.93200i 0.368418 + 0.217119i
\(517\) 7.24165 + 6.90490i 0.318488 + 0.303677i
\(518\) 0.556358 3.93737i 0.0244450 0.172998i
\(519\) 29.8456 + 4.71211i 1.31008 + 0.206839i
\(520\) −10.1180 + 8.07681i −0.443704 + 0.354191i
\(521\) −2.04147 6.95260i −0.0894383 0.304599i 0.902610 0.430460i \(-0.141649\pi\)
−0.992048 + 0.125861i \(0.959831\pi\)
\(522\) −8.85143 0.222703i −0.387417 0.00974743i
\(523\) 5.46649 28.3629i 0.239033 1.24022i −0.641829 0.766848i \(-0.721824\pi\)
0.880862 0.473373i \(-0.156964\pi\)
\(524\) −3.64119 24.4808i −0.159066 1.06945i
\(525\) −1.25958 + 0.287237i −0.0549724 + 0.0125360i
\(526\) −20.7238 32.0755i −0.903602 1.39856i
\(527\) −17.0730 5.01308i −0.743711 0.218373i
\(528\) 20.2710 15.8078i 0.882181 0.687944i
\(529\) −6.99664 + 6.67129i −0.304202 + 0.290056i
\(530\) −0.0233631 9.62592i −0.00101483 0.418123i
\(531\) 23.6791 + 13.0462i 1.02758 + 0.566159i
\(532\) −2.51660 + 0.752229i −0.109108 + 0.0326132i
\(533\) −17.4965 2.51561i −0.757856 0.108963i
\(534\) 23.1212 11.5892i 1.00055 0.501512i
\(535\) 11.5185i 0.497989i
\(536\) −23.0255 2.41332i −0.994552 0.104240i
\(537\) 6.53267 + 19.7521i 0.281905 + 0.852366i
\(538\) 4.72036 + 32.2745i 0.203509 + 1.39145i
\(539\) −3.53383 + 24.5783i −0.152213 + 1.05866i
\(540\) 8.28707 24.8308i 0.356619 1.06855i
\(541\) 10.5275 + 23.0520i 0.452612 + 0.991082i 0.989110 + 0.147180i \(0.0470197\pi\)
−0.536498 + 0.843902i \(0.680253\pi\)
\(542\) −43.5741 + 0.105759i −1.87167 + 0.00454273i
\(543\) 33.6240 + 17.9255i 1.44294 + 0.769259i
\(544\) 3.93515 + 15.4026i 0.168718 + 0.660381i
\(545\) −0.456899 + 1.55605i −0.0195714 + 0.0666540i
\(546\) −1.92305 1.54799i −0.0822988 0.0662478i
\(547\) 2.94362 30.8270i 0.125860 1.31807i −0.683152 0.730276i \(-0.739391\pi\)
0.809012 0.587792i \(-0.200003\pi\)
\(548\) −12.4690 + 1.85459i −0.532649 + 0.0792243i
\(549\) 33.7363 16.2307i 1.43983 0.692709i
\(550\) 4.34871 5.55754i 0.185430 0.236974i
\(551\) −4.74162 + 1.39226i −0.202000 + 0.0593125i
\(552\) −9.76876 + 14.9851i −0.415786 + 0.637808i
\(553\) −5.11862 2.63883i −0.217666 0.112215i
\(554\) −33.3925 4.71842i −1.41871 0.200467i
\(555\) 19.9912 + 9.46502i 0.848581 + 0.401768i
\(556\) −1.82820 + 1.59975i −0.0775332 + 0.0678446i
\(557\) 10.9259 7.78033i 0.462947 0.329663i −0.324671 0.945827i \(-0.605254\pi\)
0.787618 + 0.616164i \(0.211314\pi\)
\(558\) 17.0753 + 20.7377i 0.722856 + 0.877898i
\(559\) 1.89387 + 4.73065i 0.0801020 + 0.200085i
\(560\) −5.47663 + 1.11078i −0.231430 + 0.0469392i
\(561\) 6.94290 16.6724i 0.293129 0.703909i
\(562\) 0.668071 14.7792i 0.0281809 0.623422i
\(563\) −4.86319 + 10.6489i −0.204959 + 0.448798i −0.983998 0.178177i \(-0.942980\pi\)
0.779039 + 0.626975i \(0.215707\pi\)
\(564\) 9.15693 + 1.84987i 0.385576 + 0.0778938i
\(565\) −7.42458 + 12.8598i −0.312355 + 0.541014i
\(566\) 17.5093 + 38.0950i 0.735970 + 1.60125i
\(567\) 4.96526 + 0.512052i 0.208521 + 0.0215042i
\(568\) −20.4809 + 26.4375i −0.859359 + 1.10929i
\(569\) −23.2113 5.63100i −0.973069 0.236064i −0.282449 0.959282i \(-0.591147\pi\)
−0.690620 + 0.723218i \(0.742662\pi\)
\(570\) 0.166024 14.6093i 0.00695400 0.611915i
\(571\) 8.02717 20.0509i 0.335927 0.839104i −0.660193 0.751096i \(-0.729526\pi\)
0.996120 0.0880082i \(-0.0280502\pi\)
\(572\) 13.4844 0.0654563i 0.563810 0.00273687i
\(573\) 2.39869 2.69230i 0.100207 0.112473i
\(574\) −6.22577 4.41061i −0.259858 0.184096i
\(575\) −1.60609 + 4.64050i −0.0669787 + 0.193522i
\(576\) 8.14423 22.5759i 0.339343 0.940663i
\(577\) −1.17516 24.6696i −0.0489224 1.02701i −0.881228 0.472691i \(-0.843283\pi\)
0.832306 0.554316i \(-0.187020\pi\)
\(578\) −8.90571 9.29477i −0.370429 0.386611i
\(579\) −6.66914 5.39516i −0.277160 0.224215i
\(580\) −10.3139 + 2.03982i −0.428262 + 0.0846989i
\(581\) 4.01760 0.577644i 0.166678 0.0239647i
\(582\) 9.03387 + 8.00943i 0.374466 + 0.332001i
\(583\) −6.19771 + 7.88103i −0.256683 + 0.326399i
\(584\) −2.95527 + 1.73504i −0.122290 + 0.0717965i
\(585\) 11.4009 7.65367i 0.471371 0.316440i
\(586\) 20.5398 + 13.1298i 0.848492 + 0.542387i
\(587\) 19.6378 27.5774i 0.810539 1.13824i −0.177512 0.984119i \(-0.556805\pi\)
0.988051 0.154124i \(-0.0492556\pi\)
\(588\) 9.44178 + 21.1733i 0.389373 + 0.873174i
\(589\) 12.6129 + 8.10582i 0.519706 + 0.333994i
\(590\) 30.8237 + 8.96945i 1.26899 + 0.369266i
\(591\) 5.43749 + 7.11409i 0.223669 + 0.292635i
\(592\) 18.1141 + 9.11697i 0.744485 + 0.374705i
\(593\) 13.7094 + 17.4330i 0.562979 + 0.715886i 0.981315 0.192406i \(-0.0616291\pi\)
−0.418337 + 0.908292i \(0.637387\pi\)
\(594\) −22.8086 + 14.9387i −0.935849 + 0.612942i
\(595\) −2.96712 + 2.57102i −0.121640 + 0.105402i
\(596\) 12.2929 + 18.9255i 0.503536 + 0.775218i
\(597\) −11.6759 + 5.13880i −0.477863 + 0.210317i
\(598\) −8.85993 + 3.09055i −0.362310 + 0.126382i
\(599\) −17.2989 + 8.91821i −0.706814 + 0.364388i −0.773856 0.633362i \(-0.781674\pi\)
0.0670413 + 0.997750i \(0.478644\pi\)
\(600\) 0.668950 6.55437i 0.0273098 0.267581i
\(601\) −5.51286 22.7243i −0.224874 0.926944i −0.966610 0.256252i \(-0.917512\pi\)
0.741736 0.670692i \(-0.234003\pi\)
\(602\) −0.203759 + 2.19002i −0.00830460 + 0.0892586i
\(603\) 24.1284 + 4.56267i 0.982586 + 0.185806i
\(604\) 3.46491 18.4594i 0.140985 0.751103i
\(605\) −6.77238 + 1.64296i −0.275336 + 0.0667959i
\(606\) −6.91367 + 0.580976i −0.280849 + 0.0236005i
\(607\) 3.37870 + 6.55377i 0.137137 + 0.266009i 0.947396 0.320063i \(-0.103704\pi\)
−0.810259 + 0.586072i \(0.800674\pi\)
\(608\) 0.474949 13.3867i 0.0192617 0.542900i
\(609\) −0.807598 1.83495i −0.0327255 0.0743558i
\(610\) 34.8766 27.5645i 1.41211 1.11605i
\(611\) 3.20913 + 3.70353i 0.129827 + 0.149829i
\(612\) −2.81400 16.6252i −0.113749 0.672035i
\(613\) −26.4995 + 20.8394i −1.07030 + 0.841697i −0.987929 0.154905i \(-0.950493\pi\)
−0.0823751 + 0.996601i \(0.526251\pi\)
\(614\) −32.3216 6.14816i −1.30440 0.248120i
\(615\) 33.7185 25.7719i 1.35966 1.03923i
\(616\) 5.19269 + 2.62934i 0.209219 + 0.105939i
\(617\) −0.996095 + 1.54995i −0.0401013 + 0.0623988i −0.860725 0.509069i \(-0.829990\pi\)
0.820624 + 0.571468i \(0.193626\pi\)
\(618\) 1.79206 + 3.18703i 0.0720871 + 0.128201i
\(619\) −39.0111 27.7797i −1.56799 1.11656i −0.941443 0.337173i \(-0.890529\pi\)
−0.626544 0.779386i \(1.28447\pi\)
\(620\) 25.1687 + 19.5959i 1.01080 + 0.786990i
\(621\) 11.6353 14.9866i 0.466909 0.601393i
\(622\) −11.5160 + 10.0277i −0.461748 + 0.402073i
\(623\) 4.60313 + 3.61994i 0.184420 + 0.145030i
\(624\) 10.6188 6.76317i 0.425091 0.270744i
\(625\) 4.25744 + 29.6111i 0.170298 + 1.18445i
\(626\) 9.53500 + 32.1840i 0.381095 + 1.28633i
\(627\) −9.57092 + 11.8309i −0.382226 + 0.472482i
\(628\) −33.8444 + 26.8825i −1.35054 + 1.07273i
\(629\) 14.2313 0.677922i 0.567440 0.0270305i
\(630\) 5.88615 0.695688i 0.234510 0.0277169i
\(631\) −17.4807 6.05014i −0.695897 0.240852i −0.0438581 0.999038i \(-0.513965\pi\)
−0.652039 + 0.758185i \(0.726086\pi\)
\(632\) 21.1068 20.4207i 0.839582 0.812292i
\(633\) 16.9421 + 15.0944i 0.673386 + 0.599949i
\(634\) −22.7452 + 2.22763i −0.903328 + 0.0884703i
\(635\) −26.4393 10.5847i −1.04921 0.420040i
\(636\) −0.973030 + 9.30999i −0.0385831 + 0.369165i
\(637\) −2.86710 + 11.8183i −0.113598 + 0.468259i
\(638\) 9.74555 + 4.99428i 0.385830 + 0.197725i
\(639\) 23.9592 26.1566i 0.947811 1.03474i
\(640\) 3.57589 28.2729i 0.141350 1.11758i
\(641\) 15.0548 + 8.69192i 0.594631 + 0.343310i 0.766926 0.641735i \(-0.221785\pi\)
−0.172296 + 0.985045i \(0.555118\pi\)
\(642\) 1.19137 11.1376i 0.0470198 0.439565i
\(643\) 38.4950 + 17.5801i 1.51809 + 0.693291i 0.987972 0.154631i \(-0.0494187\pi\)
0.530122 + 0.847921i \(0.322146\pi\)
\(644\) −4.01179 0.556946i −0.158087 0.0219467i
\(645\) −11.2942 4.70324i −0.444707 0.185190i
\(646\) −4.33265 8.35432i −0.170466 0.328696i
\(647\) 35.1102 14.0560i 1.38032 0.552599i 0.441583 0.897220i \(-0.354417\pi\)
0.938742 + 0.344622i \(0.111993\pi\)
\(648\) −10.5813 + 23.1525i −0.415672 + 0.909515i
\(649\) −19.3951 27.2367i −0.761326 1.06913i
\(650\) 2.37889 2.50706i 0.0933076 0.0983350i
\(651\) −2.60278 + 5.49738i −0.102011 + 0.215459i
\(652\) 43.0804 + 10.2300i 1.68716 + 0.400638i
\(653\) 2.00068 3.88078i 0.0782927 0.151867i −0.846440 0.532485i \(-0.821258\pi\)
0.924732 + 0.380618i \(0.124289\pi\)
\(654\) 0.602733 1.45734i 0.0235687 0.0569863i
\(655\) 8.78204 + 29.9089i 0.343143 + 1.16864i
\(656\) 31.4745 22.8766i 1.22887 0.893183i
\(657\) 3.27547 1.57584i 0.127788 0.0614795i
\(658\) 0.503671 + 2.05439i 0.0196351 + 0.0800883i
\(659\) −12.3279 1.17717i −0.480226 0.0458560i −0.147863 0.989008i \(-0.547240\pi\)
−0.332362 + 0.943152i \(0.607846\pi\)
\(660\) −22.5501 + 23.2306i −0.877761 + 0.904249i
\(661\) 1.32013 + 0.387624i 0.0513470 + 0.0150768i 0.307305 0.951611i \(-0.400573\pi\)
−0.255958 + 0.966688i \(0.582391\pi\)
\(662\) 8.64046 + 12.0717i 0.335821 + 0.469181i
\(663\) 4.16109 7.80520i 0.161603 0.303129i
\(664\) −3.76930 + 20.3534i −0.146277 + 0.789864i
\(665\) 3.00915 1.37423i 0.116690 0.0532904i
\(666\) −18.3511 11.2197i −0.711091 0.434755i
\(667\) −7.54273 1.08448i −0.292056 0.0419913i
\(668\) −0.0606751 1.15567i −0.00234759 0.0447141i
\(669\) 32.6908 10.8119i 1.26390 0.418013i
\(670\) 29.1420 0.977094i 1.12585 0.0377484i
\(671\) −46.3021 −1.78747
\(672\) 5.41040 0.507594i 0.208711 0.0195809i
\(673\) −0.721875 + 5.02075i −0.0278262 + 0.193536i −0.998993 0.0448653i \(-0.985714\pi\)
0.971167 + 0.238401i \(0.0766232\pi\)
\(674\) 9.78438 + 24.2693i 0.376880 + 0.934820i
\(675\) −1.27975 + 6.86989i −0.0492575 + 0.264422i
\(676\) −19.3168 1.74995i −0.742953 0.0673057i
\(677\) 11.5172 + 12.0789i 0.442642 + 0.464230i 0.906824 0.421510i \(-0.138500\pi\)
−0.464181 + 0.885740i \(0.653651\pi\)
\(678\) 8.50914 11.6665i 0.326791 0.448050i
\(679\) −0.770158 + 2.62292i −0.0295559 + 0.100658i
\(680\) −7.57654 18.5330i −0.290547 0.710709i
\(681\) 10.2818 + 45.0870i 0.393998 + 1.72774i
\(682\) −7.91110 32.2680i −0.302932 1.23560i
\(683\) −4.90398 0.945165i −0.187646 0.0361657i 0.0945625 0.995519i \(-0.469855\pi\)
−0.282208 + 0.959353i \(0.591067\pi\)
\(684\) −1.67159 + 14.1089i −0.0639148 + 0.539469i
\(685\) 15.2337 4.47302i 0.582050 0.170905i
\(686\) −7.01327 + 8.13355i −0.267768 + 0.310540i
\(687\) 0.733394 4.64517i 0.0279807 0.177224i
\(688\) −10.2479 4.56035i −0.390698 0.173862i
\(689\) −3.38851 + 3.55377i −0.129092 + 0.135388i
\(690\) 9.59119 20.3855i 0.365130 0.776063i
\(691\) −36.9599 + 26.3190i −1.40602 + 1.00122i −0.410002 + 0.912085i \(0.634472\pi\)
−0.996019 + 0.0891386i \(0.971589\pi\)
\(692\) −34.8577 1.49093i −1.32509 0.0566765i
\(693\) −5.25925 3.23302i −0.199782 0.122812i
\(694\) 15.4521 + 29.7951i 0.586553 + 1.13101i
\(695\) 2.00361 2.31229i 0.0760011 0.0877100i
\(696\) 10.1838 0.905579i 0.386016 0.0343259i
\(697\) 11.3562 24.8666i 0.430147 0.941890i
\(698\) −32.8322 14.8978i −1.24272 0.563889i
\(699\) 8.87731 42.8697i 0.335771 1.62148i
\(700\) 1.40734 0.494748i 0.0531925 0.0186997i
\(701\) −7.77199 40.3249i −0.293544 1.52305i −0.766661 0.642052i \(-0.778083\pi\)
0.473117 0.881000i \(-0.343129\pi\)
\(702\) −11.8155 + 6.22133i −0.445948 + 0.234809i
\(703\) −11.6665 2.83026i −0.440010 0.106745i
\(704\) −21.1818 + 20.7941i −0.798320 + 0.783706i
\(705\) −11.7435 0.721851i −0.442286 0.0271865i
\(706\) 0.839065 0.0821765i 0.0315786 0.00309275i
\(707\) −0.785466 1.36047i −0.0295405 0.0511656i
\(708\) −28.8766 11.8609i −1.08525 0.445761i
\(709\) −14.2607 + 41.2035i −0.535571 + 1.54743i 0.274793 + 0.961504i \(0.411391\pi\)
−0.810364 + 0.585927i \(0.800730\pi\)
\(710\) 20.9710 36.5274i 0.787029 1.37085i
\(711\) −24.0951 + 19.7418i −0.903637 + 0.740376i
\(712\) −25.0051 + 16.3283i −0.937104 + 0.611927i
\(713\) 12.4992 + 19.4492i 0.468100 + 0.728379i
\(714\) 3.13492 2.17910i 0.117321 0.0815509i
\(715\) −16.8102 + 2.41695i −0.628667 + 0.0903887i
\(716\) −10.0854 21.8032i −0.376909 0.814824i
\(717\) 9.70997 26.8512i 0.362625 1.00278i
\(718\) −18.8699 + 16.4312i −0.704219 + 0.613208i
\(719\) −1.75669 + 36.8774i −0.0655134 + 1.37530i 0.691727 + 0.722160i \(0.256850\pi\)
−0.757240 + 0.653137i \(0.773453\pi\)
\(720\) −6.25001 + 29.5736i −0.232924 + 1.10214i
\(721\) −0.480215 + 0.674367i −0.0178841 + 0.0251147i
\(722\) −3.62962 18.5894i −0.135080 0.691824i
\(723\) −7.48294 + 29.0882i −0.278294 + 1.08180i
\(724\) −40.9256 16.1541i −1.52099 0.600362i
\(725\) 2.65230 0.917970i 0.0985039 0.0340925i
\(726\) 6.71834 0.888151i 0.249341 0.0329624i
\(727\) 5.35008 + 6.80318i 0.198424 + 0.252316i 0.875075 0.483987i \(-0.160812\pi\)
−0.676651 + 0.736304i \(0.736570\pi\)
\(728\) 2.40922 + 1.52364i 0.0892918 + 0.0564699i
\(729\) 13.2077 23.5490i 0.489176 0.872185i
\(730\) 3.38618 2.67625i 0.125328 0.0990523i
\(731\) −7.84489 + 0.749097i −0.290154 + 0.0277063i
\(732\) −36.5741 + 23.0456i −1.35182 + 0.851788i
\(733\) −9.25419 + 4.77087i −0.341811 + 0.176216i −0.620582 0.784142i \(-0.713103\pi\)
0.278770 + 0.960358i \(0.410073\pi\)
\(734\) −3.16542 + 13.1876i −0.116838 + 0.486765i
\(735\) −15.4454 24.7783i −0.569712 0.913960i
\(736\) 9.24133 18.4727i 0.340640 0.680912i
\(737\) −24.4448 18.0226i −0.900436 0.663872i
\(738\) −35.2690 + 21.4321i −1.29827 + 0.788926i
\(739\) 50.9440 12.3589i 1.87400 0.454629i 0.874468 0.485083i \(-0.161211\pi\)
0.999536 + 0.0304546i \(0.00969550\pi\)
\(740\) −24.1760 8.23621i −0.888728 0.302769i
\(741\) −5.21696 + 5.32245i −0.191650 + 0.195525i
\(742\) −2.00122 + 0.698073i −0.0734672 + 0.0256271i
\(743\) −38.0389 + 3.63227i −1.39551 + 0.133255i −0.765553 0.643373i \(-0.777534\pi\)
−0.629959 + 0.776628i \(0.716928\pi\)
\(744\) −22.3095 21.5510i −0.817905 0.790099i
\(745\) −18.6128 21.4803i −0.681920 0.786978i
\(746\) 3.46530 8.71717i 0.126874 0.319158i
\(747\) 5.76255 21.1853i 0.210841 0.775131i
\(748\) −5.77811 + 20.0377i −0.211268 + 0.732652i
\(749\) 2.39670 0.829508i 0.0875737 0.0303095i