Properties

Label 76.2.f.a.27.5
Level $76$
Weight $2$
Character 76.27
Analytic conductor $0.607$
Analytic rank $0$
Dimension $16$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 76 = 2^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 76.f (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.606863055362\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(8\) over \(\Q(\zeta_{6})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} - \cdots)\)
Defining polynomial: \(x^{16} - 3 x^{15} + 6 x^{14} - 9 x^{13} + 12 x^{12} - 9 x^{11} + 3 x^{10} + 6 x^{9} - 10 x^{8} + 12 x^{7} + 12 x^{6} - 72 x^{5} + 192 x^{4} - 288 x^{3} + 384 x^{2} - 384 x + 256\)
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 27.5
Root \(1.16486 + 0.801943i\) of defining polynomial
Character \(\chi\) \(=\) 76.27
Dual form 76.2.f.a.31.5

$q$-expansion

\(f(q)\) \(=\) \(q+(0.112075 - 1.40977i) q^{2} +(-0.305055 + 0.528371i) q^{3} +(-1.97488 - 0.316000i) q^{4} +(1.59295 - 2.75907i) q^{5} +(0.710690 + 0.489273i) q^{6} -2.36291i q^{7} +(-0.666820 + 2.74870i) q^{8} +(1.31388 + 2.27571i) q^{9} +O(q^{10})\) \(q+(0.112075 - 1.40977i) q^{2} +(-0.305055 + 0.528371i) q^{3} +(-1.97488 - 0.316000i) q^{4} +(1.59295 - 2.75907i) q^{5} +(0.710690 + 0.489273i) q^{6} -2.36291i q^{7} +(-0.666820 + 2.74870i) q^{8} +(1.31388 + 2.27571i) q^{9} +(-3.71111 - 2.55491i) q^{10} +5.46750i q^{11} +(0.769412 - 0.947071i) q^{12} +(-2.31924 + 1.33901i) q^{13} +(-3.33115 - 0.264824i) q^{14} +(0.971875 + 1.68334i) q^{15} +(3.80029 + 1.24812i) q^{16} +(-0.552780 + 0.957443i) q^{17} +(3.35547 - 1.59722i) q^{18} +(1.37952 - 4.13484i) q^{19} +(-4.01775 + 4.94546i) q^{20} +(1.24849 + 0.720818i) q^{21} +(7.70790 + 0.612772i) q^{22} +(2.46168 - 1.42125i) q^{23} +(-1.24892 - 1.19083i) q^{24} +(-2.57499 - 4.46001i) q^{25} +(1.62777 + 3.41965i) q^{26} -3.43356 q^{27} +(-0.746679 + 4.66646i) q^{28} +(-5.63736 + 3.25473i) q^{29} +(2.48203 - 1.18146i) q^{30} +1.01504 q^{31} +(2.18548 - 5.21763i) q^{32} +(-2.88887 - 1.66789i) q^{33} +(1.28782 + 0.886596i) q^{34} +(-6.51945 - 3.76400i) q^{35} +(-1.87563 - 4.90944i) q^{36} +0.450315i q^{37} +(-5.67455 - 2.40822i) q^{38} -1.63389i q^{39} +(6.52165 + 6.21835i) q^{40} +(0.336089 + 0.194041i) q^{41} +(1.15611 - 1.67930i) q^{42} +(-4.96197 - 2.86479i) q^{43} +(1.72773 - 10.7977i) q^{44} +8.37180 q^{45} +(-1.72774 - 3.62968i) q^{46} +(2.91563 - 1.68334i) q^{47} +(-1.81877 + 1.62722i) q^{48} +1.41665 q^{49} +(-6.57616 + 3.13027i) q^{50} +(-0.337257 - 0.584146i) q^{51} +(5.00334 - 1.91151i) q^{52} +(-3.53036 + 2.03825i) q^{53} +(-0.384817 + 4.84051i) q^{54} +(15.0852 + 8.70946i) q^{55} +(6.49494 + 1.57564i) q^{56} +(1.76390 + 1.99025i) q^{57} +(3.95660 + 8.31213i) q^{58} +(-6.82450 + 11.8204i) q^{59} +(-1.38740 - 3.63150i) q^{60} +(-6.77885 - 11.7413i) q^{61} +(0.113761 - 1.43097i) q^{62} +(5.37731 - 3.10459i) q^{63} +(-7.11070 - 3.66578i) q^{64} +8.53193i q^{65} +(-2.67510 + 3.88570i) q^{66} +(-4.27064 - 7.39696i) q^{67} +(1.39422 - 1.71616i) q^{68} +1.73424i q^{69} +(-6.03703 + 8.76904i) q^{70} +(1.07447 - 1.86103i) q^{71} +(-7.13137 + 2.09398i) q^{72} +(3.91944 - 6.78867i) q^{73} +(0.634839 + 0.0504692i) q^{74} +3.14205 q^{75} +(-4.03100 + 7.72988i) q^{76} +12.9192 q^{77} +(-2.30340 - 0.183119i) q^{78} +(-5.57208 + 9.65112i) q^{79} +(9.49733 - 8.49707i) q^{80} +(-2.89422 + 5.01294i) q^{81} +(0.311219 - 0.452059i) q^{82} +4.14868i q^{83} +(-2.23785 - 1.81805i) q^{84} +(1.76110 + 3.05032i) q^{85} +(-4.59480 + 6.67414i) q^{86} -3.97149i q^{87} +(-15.0285 - 3.64584i) q^{88} +(4.19126 - 2.41982i) q^{89} +(0.938272 - 11.8023i) q^{90} +(3.16397 + 5.48016i) q^{91} +(-5.31064 + 2.02891i) q^{92} +(-0.309642 + 0.536316i) q^{93} +(-2.04634 - 4.29901i) q^{94} +(-9.21082 - 10.3928i) q^{95} +(2.09015 + 2.74641i) q^{96} +(-0.641491 - 0.370365i) q^{97} +(0.158771 - 1.99714i) q^{98} +(-12.4425 + 7.18366i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16q - 3q^{2} - 3q^{4} - 2q^{5} + 5q^{6} - 4q^{9} + O(q^{10}) \) \( 16q - 3q^{2} - 3q^{4} - 2q^{5} + 5q^{6} - 4q^{9} - 6q^{10} - 18q^{13} - 6q^{14} - 3q^{16} + 2q^{17} + 4q^{20} + 3q^{22} - 23q^{24} - 2q^{25} - 24q^{26} - 4q^{28} - 6q^{29} + 28q^{30} + 27q^{32} + 18q^{33} + 36q^{34} + 14q^{36} - 24q^{38} + 48q^{40} - 48q^{41} + 28q^{42} - 25q^{44} + 24q^{45} + 9q^{48} + 16q^{49} + 6q^{52} + 6q^{53} + 17q^{54} - 26q^{57} - 40q^{58} - 6q^{60} - 26q^{61} + 32q^{62} - 18q^{64} + 5q^{66} - 36q^{68} - 54q^{70} - 66q^{72} + 16q^{73} - 2q^{74} + 43q^{76} + 80q^{77} - 84q^{78} - 30q^{80} + 12q^{81} + 11q^{82} + 14q^{85} - 48q^{86} + 18q^{89} - 18q^{90} - 52q^{92} - 20q^{93} + 46q^{96} - 12q^{97} + 51q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(39\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.112075 1.40977i 0.0792492 0.996855i
\(3\) −0.305055 + 0.528371i −0.176124 + 0.305055i −0.940550 0.339657i \(-0.889689\pi\)
0.764426 + 0.644712i \(0.223023\pi\)
\(4\) −1.97488 0.316000i −0.987439 0.158000i
\(5\) 1.59295 2.75907i 0.712389 1.23389i −0.251569 0.967839i \(-0.580946\pi\)
0.963958 0.266055i \(-0.0857203\pi\)
\(6\) 0.710690 + 0.489273i 0.290138 + 0.199745i
\(7\) 2.36291i 0.893097i −0.894759 0.446548i \(-0.852653\pi\)
0.894759 0.446548i \(-0.147347\pi\)
\(8\) −0.666820 + 2.74870i −0.235757 + 0.971812i
\(9\) 1.31388 + 2.27571i 0.437961 + 0.758571i
\(10\) −3.71111 2.55491i −1.17356 0.807934i
\(11\) 5.46750i 1.64851i 0.566216 + 0.824257i \(0.308407\pi\)
−0.566216 + 0.824257i \(0.691593\pi\)
\(12\) 0.769412 0.947071i 0.222110 0.273396i
\(13\) −2.31924 + 1.33901i −0.643241 + 0.371375i −0.785862 0.618402i \(-0.787780\pi\)
0.142621 + 0.989777i \(0.454447\pi\)
\(14\) −3.33115 0.264824i −0.890288 0.0707772i
\(15\) 0.971875 + 1.68334i 0.250937 + 0.434636i
\(16\) 3.80029 + 1.24812i 0.950072 + 0.312030i
\(17\) −0.552780 + 0.957443i −0.134069 + 0.232214i −0.925241 0.379379i \(-0.876138\pi\)
0.791173 + 0.611593i \(0.209471\pi\)
\(18\) 3.35547 1.59722i 0.790893 0.376467i
\(19\) 1.37952 4.13484i 0.316484 0.948598i
\(20\) −4.01775 + 4.94546i −0.898396 + 1.10584i
\(21\) 1.24849 + 0.720818i 0.272444 + 0.157295i
\(22\) 7.70790 + 0.612772i 1.64333 + 0.130643i
\(23\) 2.46168 1.42125i 0.513296 0.296352i −0.220891 0.975298i \(-0.570897\pi\)
0.734187 + 0.678947i \(0.237563\pi\)
\(24\) −1.24892 1.19083i −0.254934 0.243078i
\(25\) −2.57499 4.46001i −0.514997 0.892001i
\(26\) 1.62777 + 3.41965i 0.319231 + 0.670649i
\(27\) −3.43356 −0.660788
\(28\) −0.746679 + 4.66646i −0.141109 + 0.881879i
\(29\) −5.63736 + 3.25473i −1.04683 + 0.604389i −0.921761 0.387759i \(-0.873249\pi\)
−0.125071 + 0.992148i \(0.539916\pi\)
\(30\) 2.48203 1.18146i 0.453155 0.215703i
\(31\) 1.01504 0.182306 0.0911531 0.995837i \(-0.470945\pi\)
0.0911531 + 0.995837i \(0.470945\pi\)
\(32\) 2.18548 5.21763i 0.386341 0.922356i
\(33\) −2.88887 1.66789i −0.502887 0.290342i
\(34\) 1.28782 + 0.886596i 0.220859 + 0.152050i
\(35\) −6.51945 3.76400i −1.10199 0.636233i
\(36\) −1.87563 4.90944i −0.312606 0.818240i
\(37\) 0.450315i 0.0740314i 0.999315 + 0.0370157i \(0.0117851\pi\)
−0.999315 + 0.0370157i \(0.988215\pi\)
\(38\) −5.67455 2.40822i −0.920533 0.390664i
\(39\) 1.63389i 0.261632i
\(40\) 6.52165 + 6.21835i 1.03116 + 0.983207i
\(41\) 0.336089 + 0.194041i 0.0524882 + 0.0303041i 0.526014 0.850476i \(-0.323686\pi\)
−0.473526 + 0.880780i \(0.657019\pi\)
\(42\) 1.15611 1.67930i 0.178392 0.259121i
\(43\) −4.96197 2.86479i −0.756693 0.436877i 0.0714141 0.997447i \(-0.477249\pi\)
−0.828107 + 0.560570i \(0.810582\pi\)
\(44\) 1.72773 10.7977i 0.260465 1.62781i
\(45\) 8.37180 1.24799
\(46\) −1.72774 3.62968i −0.254741 0.535167i
\(47\) 2.91563 1.68334i 0.425288 0.245540i −0.272049 0.962283i \(-0.587701\pi\)
0.697337 + 0.716743i \(0.254368\pi\)
\(48\) −1.81877 + 1.62722i −0.262517 + 0.234868i
\(49\) 1.41665 0.202378
\(50\) −6.57616 + 3.13027i −0.930009 + 0.442687i
\(51\) −0.337257 0.584146i −0.0472254 0.0817967i
\(52\) 5.00334 1.91151i 0.693839 0.265079i
\(53\) −3.53036 + 2.03825i −0.484932 + 0.279976i −0.722470 0.691403i \(-0.756993\pi\)
0.237537 + 0.971378i \(0.423660\pi\)
\(54\) −0.384817 + 4.84051i −0.0523669 + 0.658710i
\(55\) 15.0852 + 8.70946i 2.03409 + 1.17438i
\(56\) 6.49494 + 1.57564i 0.867922 + 0.210553i
\(57\) 1.76390 + 1.99025i 0.233634 + 0.263616i
\(58\) 3.95660 + 8.31213i 0.519527 + 1.09144i
\(59\) −6.82450 + 11.8204i −0.888474 + 1.53888i −0.0467951 + 0.998905i \(0.514901\pi\)
−0.841679 + 0.539978i \(0.818433\pi\)
\(60\) −1.38740 3.63150i −0.179113 0.468825i
\(61\) −6.77885 11.7413i −0.867943 1.50332i −0.864095 0.503329i \(-0.832108\pi\)
−0.00384839 0.999993i \(-0.501225\pi\)
\(62\) 0.113761 1.43097i 0.0144476 0.181733i
\(63\) 5.37731 3.10459i 0.677477 0.391142i
\(64\) −7.11070 3.66578i −0.888838 0.458222i
\(65\) 8.53193i 1.05826i
\(66\) −2.67510 + 3.88570i −0.329282 + 0.478296i
\(67\) −4.27064 7.39696i −0.521742 0.903683i −0.999680 0.0252897i \(-0.991949\pi\)
0.477939 0.878393i \(-0.341384\pi\)
\(68\) 1.39422 1.71616i 0.169075 0.208114i
\(69\) 1.73424i 0.208778i
\(70\) −6.03703 + 8.76904i −0.721563 + 1.04810i
\(71\) 1.07447 1.86103i 0.127516 0.220864i −0.795198 0.606350i \(-0.792633\pi\)
0.922714 + 0.385486i \(0.125966\pi\)
\(72\) −7.13137 + 2.09398i −0.840440 + 0.246778i
\(73\) 3.91944 6.78867i 0.458736 0.794554i −0.540158 0.841563i \(-0.681636\pi\)
0.998894 + 0.0470092i \(0.0149690\pi\)
\(74\) 0.634839 + 0.0504692i 0.0737985 + 0.00586692i
\(75\) 3.14205 0.362813
\(76\) −4.03100 + 7.72988i −0.462387 + 0.886678i
\(77\) 12.9192 1.47228
\(78\) −2.30340 0.183119i −0.260809 0.0207341i
\(79\) −5.57208 + 9.65112i −0.626908 + 1.08584i 0.361261 + 0.932465i \(0.382346\pi\)
−0.988169 + 0.153371i \(0.950987\pi\)
\(80\) 9.49733 8.49707i 1.06183 0.950002i
\(81\) −2.89422 + 5.01294i −0.321581 + 0.556994i
\(82\) 0.311219 0.452059i 0.0343684 0.0499216i
\(83\) 4.14868i 0.455376i 0.973734 + 0.227688i \(0.0731167\pi\)
−0.973734 + 0.227688i \(0.926883\pi\)
\(84\) −2.23785 1.81805i −0.244169 0.198366i
\(85\) 1.76110 + 3.05032i 0.191018 + 0.330854i
\(86\) −4.59480 + 6.67414i −0.495470 + 0.719691i
\(87\) 3.97149i 0.425788i
\(88\) −15.0285 3.64584i −1.60205 0.388648i
\(89\) 4.19126 2.41982i 0.444272 0.256501i −0.261136 0.965302i \(-0.584097\pi\)
0.705408 + 0.708801i \(0.250764\pi\)
\(90\) 0.938272 11.8023i 0.0989025 1.24407i
\(91\) 3.16397 + 5.48016i 0.331674 + 0.574477i
\(92\) −5.31064 + 2.02891i −0.553672 + 0.211528i
\(93\) −0.309642 + 0.536316i −0.0321084 + 0.0556134i
\(94\) −2.04634 4.29901i −0.211064 0.443409i
\(95\) −9.21082 10.3928i −0.945010 1.06628i
\(96\) 2.09015 + 2.74641i 0.213325 + 0.280304i
\(97\) −0.641491 0.370365i −0.0651335 0.0376048i 0.467080 0.884215i \(-0.345306\pi\)
−0.532213 + 0.846610i \(0.678639\pi\)
\(98\) 0.158771 1.99714i 0.0160383 0.201741i
\(99\) −12.4425 + 7.18366i −1.25051 + 0.721985i
\(100\) 3.67592 + 9.62166i 0.367592 + 0.962166i
\(101\) 2.69851 + 4.67396i 0.268512 + 0.465076i 0.968478 0.249100i \(-0.0801348\pi\)
−0.699966 + 0.714176i \(0.746801\pi\)
\(102\) −0.861307 + 0.409985i −0.0852821 + 0.0405945i
\(103\) 7.54816 0.743743 0.371871 0.928284i \(-0.378716\pi\)
0.371871 + 0.928284i \(0.378716\pi\)
\(104\) −2.13403 7.26777i −0.209259 0.712664i
\(105\) 3.97758 2.29646i 0.388172 0.224111i
\(106\) 2.47779 + 5.20542i 0.240665 + 0.505595i
\(107\) 18.4008 1.77887 0.889437 0.457058i \(-0.151097\pi\)
0.889437 + 0.457058i \(0.151097\pi\)
\(108\) 6.78086 + 1.08500i 0.652488 + 0.104404i
\(109\) 4.23847 + 2.44708i 0.405971 + 0.234388i 0.689057 0.724707i \(-0.258025\pi\)
−0.283086 + 0.959095i \(0.591358\pi\)
\(110\) 13.9690 20.2905i 1.33189 1.93463i
\(111\) −0.237933 0.137371i −0.0225836 0.0130387i
\(112\) 2.94920 8.97975i 0.278673 0.848506i
\(113\) 17.8362i 1.67789i −0.544220 0.838943i \(-0.683174\pi\)
0.544220 0.838943i \(-0.316826\pi\)
\(114\) 3.00348 2.26363i 0.281302 0.212008i
\(115\) 9.05594i 0.844471i
\(116\) 12.1616 4.64630i 1.12918 0.431398i
\(117\) −6.09442 3.51861i −0.563429 0.325296i
\(118\) 15.8991 + 10.9457i 1.46363 + 1.00764i
\(119\) 2.26235 + 1.30617i 0.207390 + 0.119736i
\(120\) −5.27506 + 1.54891i −0.481545 + 0.141395i
\(121\) −18.8936 −1.71760
\(122\) −17.3122 + 8.24068i −1.56738 + 0.746076i
\(123\) −0.205051 + 0.118386i −0.0184888 + 0.0106745i
\(124\) −2.00458 0.320752i −0.180016 0.0288043i
\(125\) −0.477794 −0.0427352
\(126\) −3.77408 7.92869i −0.336222 0.706344i
\(127\) −4.84855 8.39793i −0.430239 0.745196i 0.566655 0.823955i \(-0.308237\pi\)
−0.996894 + 0.0787596i \(0.974904\pi\)
\(128\) −5.96482 + 9.61358i −0.527221 + 0.849728i
\(129\) 3.02735 1.74784i 0.266543 0.153889i
\(130\) 12.0280 + 0.956218i 1.05493 + 0.0838659i
\(131\) −6.81626 3.93537i −0.595539 0.343835i 0.171745 0.985141i \(-0.445059\pi\)
−0.767285 + 0.641307i \(0.778393\pi\)
\(132\) 5.17811 + 4.20676i 0.450697 + 0.366151i
\(133\) −9.77027 3.25969i −0.847190 0.282651i
\(134\) −10.9066 + 5.19158i −0.942188 + 0.448485i
\(135\) −5.46949 + 9.47343i −0.470739 + 0.815343i
\(136\) −2.26312 2.15787i −0.194061 0.185036i
\(137\) 5.32438 + 9.22210i 0.454893 + 0.787897i 0.998682 0.0513247i \(-0.0163443\pi\)
−0.543790 + 0.839222i \(0.683011\pi\)
\(138\) 2.44487 + 0.194365i 0.208121 + 0.0165455i
\(139\) 3.86571 2.23187i 0.327885 0.189305i −0.327017 0.945019i \(-0.606043\pi\)
0.654902 + 0.755714i \(0.272710\pi\)
\(140\) 11.6857 + 9.49359i 0.987621 + 0.802355i
\(141\) 2.05404i 0.172982i
\(142\) −2.50320 1.72332i −0.210064 0.144618i
\(143\) −7.32106 12.6804i −0.612218 1.06039i
\(144\) 2.15277 + 10.2882i 0.179397 + 0.857354i
\(145\) 20.7385i 1.72224i
\(146\) −9.13117 6.28634i −0.755701 0.520261i
\(147\) −0.432155 + 0.748514i −0.0356435 + 0.0617364i
\(148\) 0.142299 0.889318i 0.0116969 0.0731015i
\(149\) −4.00960 + 6.94483i −0.328479 + 0.568942i −0.982210 0.187785i \(-0.939869\pi\)
0.653731 + 0.756727i \(0.273203\pi\)
\(150\) 0.352146 4.42955i 0.0287526 0.361672i
\(151\) −5.53975 −0.450818 −0.225409 0.974264i \(-0.572372\pi\)
−0.225409 + 0.974264i \(0.572372\pi\)
\(152\) 10.4455 + 6.54909i 0.847246 + 0.531201i
\(153\) −2.90515 −0.234868
\(154\) 1.44793 18.2131i 0.116677 1.46765i
\(155\) 1.61691 2.80056i 0.129873 0.224947i
\(156\) −0.516309 + 3.22674i −0.0413378 + 0.258346i
\(157\) 1.42480 2.46782i 0.113711 0.196954i −0.803553 0.595234i \(-0.797059\pi\)
0.917264 + 0.398280i \(0.130393\pi\)
\(158\) 12.9813 + 8.93698i 1.03274 + 0.710988i
\(159\) 2.48712i 0.197241i
\(160\) −10.9145 14.3413i −0.862864 1.13378i
\(161\) −3.35829 5.81674i −0.264671 0.458423i
\(162\) 6.74271 + 4.64201i 0.529757 + 0.364710i
\(163\) 8.60401i 0.673918i 0.941519 + 0.336959i \(0.109398\pi\)
−0.941519 + 0.336959i \(0.890602\pi\)
\(164\) −0.602417 0.489411i −0.0470409 0.0382166i
\(165\) −9.20365 + 5.31373i −0.716503 + 0.413673i
\(166\) 5.84866 + 0.464964i 0.453944 + 0.0360882i
\(167\) 9.00563 + 15.5982i 0.696877 + 1.20703i 0.969544 + 0.244918i \(0.0787610\pi\)
−0.272667 + 0.962108i \(0.587906\pi\)
\(168\) −2.81383 + 2.95108i −0.217092 + 0.227681i
\(169\) −2.91409 + 5.04735i −0.224161 + 0.388257i
\(170\) 4.49761 2.14088i 0.344951 0.164198i
\(171\) 11.2222 2.29330i 0.858186 0.175373i
\(172\) 8.89401 + 7.22560i 0.678162 + 0.550947i
\(173\) −15.3081 8.83813i −1.16385 0.671951i −0.211629 0.977350i \(-0.567877\pi\)
−0.952224 + 0.305399i \(0.901210\pi\)
\(174\) −5.59887 0.445106i −0.424449 0.0337434i
\(175\) −10.5386 + 6.08447i −0.796644 + 0.459942i
\(176\) −6.82411 + 20.7781i −0.514386 + 1.56621i
\(177\) −4.16370 7.21173i −0.312963 0.542067i
\(178\) −2.94165 6.17989i −0.220486 0.463203i
\(179\) 14.9607 1.11822 0.559108 0.829095i \(-0.311144\pi\)
0.559108 + 0.829095i \(0.311144\pi\)
\(180\) −16.5333 2.64549i −1.23232 0.197183i
\(181\) 15.1591 8.75213i 1.12677 0.650541i 0.183649 0.982992i \(-0.441209\pi\)
0.943121 + 0.332451i \(0.107876\pi\)
\(182\) 8.08034 3.84627i 0.598955 0.285104i
\(183\) 8.27169 0.611461
\(184\) 2.26510 + 7.71414i 0.166985 + 0.568694i
\(185\) 1.24245 + 0.717330i 0.0913469 + 0.0527392i
\(186\) 0.721377 + 0.496631i 0.0528939 + 0.0364148i
\(187\) −5.23482 3.02233i −0.382808 0.221014i
\(188\) −6.28994 + 2.40305i −0.458741 + 0.175260i
\(189\) 8.11319i 0.590148i
\(190\) −15.6837 + 11.8203i −1.13782 + 0.857536i
\(191\) 18.6529i 1.34967i −0.737967 0.674837i \(-0.764214\pi\)
0.737967 0.674837i \(-0.235786\pi\)
\(192\) 4.10605 2.63882i 0.296328 0.190441i
\(193\) −6.44722 3.72230i −0.464081 0.267937i 0.249678 0.968329i \(-0.419675\pi\)
−0.713759 + 0.700392i \(0.753009\pi\)
\(194\) −0.594023 + 0.862843i −0.0426483 + 0.0619485i
\(195\) −4.50802 2.60271i −0.322826 0.186384i
\(196\) −2.79770 0.447660i −0.199836 0.0319757i
\(197\) 14.1748 1.00991 0.504955 0.863146i \(-0.331509\pi\)
0.504955 + 0.863146i \(0.331509\pi\)
\(198\) 8.73278 + 18.3461i 0.620612 + 1.30380i
\(199\) −5.81457 + 3.35704i −0.412184 + 0.237974i −0.691728 0.722159i \(-0.743150\pi\)
0.279544 + 0.960133i \(0.409817\pi\)
\(200\) 13.9763 4.10384i 0.988272 0.290185i
\(201\) 5.21112 0.367564
\(202\) 6.89162 3.28043i 0.484893 0.230810i
\(203\) 7.69065 + 13.3206i 0.539778 + 0.934922i
\(204\) 0.481451 + 1.26019i 0.0337083 + 0.0882309i
\(205\) 1.07075 0.618195i 0.0747841 0.0431766i
\(206\) 0.845962 10.6411i 0.0589410 0.741403i
\(207\) 6.46872 + 3.73472i 0.449607 + 0.259581i
\(208\) −10.4850 + 2.19394i −0.727006 + 0.152123i
\(209\) 22.6073 + 7.54254i 1.56378 + 0.521728i
\(210\) −2.79168 5.86483i −0.192644 0.404712i
\(211\) 3.81983 6.61614i 0.262968 0.455474i −0.704061 0.710139i \(-0.748632\pi\)
0.967029 + 0.254665i \(0.0819653\pi\)
\(212\) 7.61612 2.90971i 0.523077 0.199840i
\(213\) 0.655543 + 1.13543i 0.0449171 + 0.0777986i
\(214\) 2.06228 25.9408i 0.140974 1.77328i
\(215\) −15.8083 + 9.12695i −1.07812 + 0.622453i
\(216\) 2.28957 9.43782i 0.155785 0.642162i
\(217\) 2.39845i 0.162817i
\(218\) 3.92484 5.70099i 0.265823 0.386120i
\(219\) 2.39129 + 4.14184i 0.161589 + 0.279880i
\(220\) −27.0393 21.9671i −1.82299 1.48102i
\(221\) 2.96072i 0.199160i
\(222\) −0.220327 + 0.320034i −0.0147874 + 0.0214793i
\(223\) −0.858455 + 1.48689i −0.0574864 + 0.0995693i −0.893336 0.449388i \(-0.851642\pi\)
0.835850 + 0.548958i \(0.184975\pi\)
\(224\) −12.3288 5.16409i −0.823753 0.345040i
\(225\) 6.76646 11.7199i 0.451097 0.781323i
\(226\) −25.1448 1.99899i −1.67261 0.132971i
\(227\) −17.2724 −1.14641 −0.573203 0.819413i \(-0.694299\pi\)
−0.573203 + 0.819413i \(0.694299\pi\)
\(228\) −2.85457 4.48790i −0.189048 0.297218i
\(229\) 16.7940 1.10978 0.554891 0.831923i \(-0.312760\pi\)
0.554891 + 0.831923i \(0.312760\pi\)
\(230\) −12.7668 1.01495i −0.841815 0.0669236i
\(231\) −3.94108 + 6.82614i −0.259304 + 0.449127i
\(232\) −5.18717 17.6657i −0.340555 1.15981i
\(233\) −1.66348 + 2.88123i −0.108978 + 0.188756i −0.915357 0.402644i \(-0.868091\pi\)
0.806378 + 0.591400i \(0.201425\pi\)
\(234\) −5.64345 + 8.19735i −0.368924 + 0.535878i
\(235\) 10.7259i 0.699680i
\(236\) 17.2128 21.1873i 1.12046 1.37917i
\(237\) −3.39958 5.88825i −0.220827 0.382483i
\(238\) 2.09495 3.04300i 0.135795 0.197248i
\(239\) 4.83178i 0.312542i 0.987714 + 0.156271i \(0.0499473\pi\)
−0.987714 + 0.156271i \(0.950053\pi\)
\(240\) 1.59240 + 7.61019i 0.102789 + 0.491235i
\(241\) 23.1768 13.3811i 1.49295 0.861954i 0.492980 0.870041i \(-0.335908\pi\)
0.999967 + 0.00808705i \(0.00257422\pi\)
\(242\) −2.11750 + 26.6355i −0.136118 + 1.71220i
\(243\) −6.91613 11.9791i −0.443670 0.768459i
\(244\) 9.67716 + 25.3298i 0.619517 + 1.62157i
\(245\) 2.25665 3.90863i 0.144172 0.249713i
\(246\) 0.143916 + 0.302342i 0.00917573 + 0.0192766i
\(247\) 2.33717 + 11.4369i 0.148710 + 0.727712i
\(248\) −0.676848 + 2.79003i −0.0429799 + 0.177167i
\(249\) −2.19204 1.26557i −0.138915 0.0802025i
\(250\) −0.0535489 + 0.673578i −0.00338673 + 0.0426008i
\(251\) 12.7393 7.35502i 0.804096 0.464245i −0.0408056 0.999167i \(-0.512992\pi\)
0.844901 + 0.534922i \(0.179659\pi\)
\(252\) −11.6006 + 4.43196i −0.730768 + 0.279187i
\(253\) 7.77070 + 13.4592i 0.488540 + 0.846176i
\(254\) −12.3825 + 5.89412i −0.776948 + 0.369830i
\(255\) −2.14893 −0.134571
\(256\) 12.8844 + 9.48644i 0.805274 + 0.592903i
\(257\) −8.75454 + 5.05443i −0.546093 + 0.315287i −0.747545 0.664212i \(-0.768767\pi\)
0.201452 + 0.979498i \(0.435434\pi\)
\(258\) −2.12475 4.46374i −0.132281 0.277900i
\(259\) 1.06406 0.0661172
\(260\) 2.69609 16.8495i 0.167204 1.04496i
\(261\) −14.8137 8.55268i −0.916943 0.529397i
\(262\) −6.31188 + 9.16827i −0.389949 + 0.566418i
\(263\) −13.6702 7.89252i −0.842943 0.486673i 0.0153204 0.999883i \(-0.495123\pi\)
−0.858264 + 0.513209i \(0.828457\pi\)
\(264\) 6.51088 6.82845i 0.400717 0.420262i
\(265\) 12.9874i 0.797807i
\(266\) −5.69040 + 13.4085i −0.348901 + 0.822125i
\(267\) 2.95272i 0.180703i
\(268\) 6.09655 + 15.9576i 0.372406 + 0.974767i
\(269\) −0.0632774 0.0365332i −0.00385809 0.00222747i 0.498070 0.867137i \(-0.334042\pi\)
−0.501928 + 0.864910i \(0.667376\pi\)
\(270\) 12.7423 + 8.77243i 0.775473 + 0.533873i
\(271\) −6.48453 3.74384i −0.393907 0.227422i 0.289945 0.957043i \(-0.406363\pi\)
−0.683852 + 0.729621i \(0.739696\pi\)
\(272\) −3.29573 + 2.94862i −0.199833 + 0.178787i
\(273\) −3.86074 −0.233663
\(274\) 13.5977 6.47256i 0.821469 0.391022i
\(275\) 24.3851 14.0787i 1.47048 0.848980i
\(276\) 0.548019 3.42491i 0.0329869 0.206156i
\(277\) −19.0585 −1.14511 −0.572557 0.819865i \(-0.694048\pi\)
−0.572557 + 0.819865i \(0.694048\pi\)
\(278\) −2.71316 5.69988i −0.162725 0.341856i
\(279\) 1.33364 + 2.30993i 0.0798430 + 0.138292i
\(280\) 14.6934 15.4101i 0.878099 0.920929i
\(281\) −7.58314 + 4.37813i −0.452372 + 0.261177i −0.708832 0.705378i \(-0.750777\pi\)
0.256459 + 0.966555i \(0.417444\pi\)
\(282\) 2.89572 + 0.230207i 0.172438 + 0.0137086i
\(283\) 17.9331 + 10.3537i 1.06601 + 0.615461i 0.927088 0.374843i \(-0.122303\pi\)
0.138921 + 0.990303i \(0.455637\pi\)
\(284\) −2.71003 + 3.33578i −0.160810 + 0.197942i
\(285\) 8.30106 1.69635i 0.491712 0.100483i
\(286\) −18.6970 + 8.89981i −1.10557 + 0.526257i
\(287\) 0.458501 0.794148i 0.0270645 0.0468771i
\(288\) 14.7453 1.88184i 0.868875 0.110889i
\(289\) 7.88887 + 13.6639i 0.464051 + 0.803760i
\(290\) 29.2365 + 2.32427i 1.71682 + 0.136486i
\(291\) 0.391380 0.225963i 0.0229431 0.0132462i
\(292\) −9.88564 + 12.1683i −0.578513 + 0.712094i
\(293\) 19.7950i 1.15643i −0.815883 0.578217i \(-0.803749\pi\)
0.815883 0.578217i \(-0.196251\pi\)
\(294\) 1.00680 + 0.693127i 0.0587175 + 0.0404240i
\(295\) 21.7422 + 37.6586i 1.26588 + 2.19257i
\(296\) −1.23778 0.300279i −0.0719446 0.0174534i
\(297\) 18.7730i 1.08932i
\(298\) 9.34120 + 6.43093i 0.541121 + 0.372534i
\(299\) −3.80615 + 6.59245i −0.220115 + 0.381251i
\(300\) −6.20517 0.992887i −0.358255 0.0573243i
\(301\) −6.76926 + 11.7247i −0.390173 + 0.675800i
\(302\) −0.620868 + 7.80974i −0.0357270 + 0.449400i
\(303\) −3.29278 −0.189165
\(304\) 10.4034 13.9918i 0.596674 0.802484i
\(305\) −43.1935 −2.47325
\(306\) −0.325596 + 4.09558i −0.0186131 + 0.234129i
\(307\) −4.47582 + 7.75235i −0.255449 + 0.442450i −0.965017 0.262186i \(-0.915556\pi\)
0.709569 + 0.704636i \(0.248890\pi\)
\(308\) −25.5139 4.08247i −1.45379 0.232620i
\(309\) −2.30260 + 3.98823i −0.130991 + 0.226882i
\(310\) −3.76692 2.59333i −0.213947 0.147291i
\(311\) 0.249429i 0.0141438i −0.999975 0.00707191i \(-0.997749\pi\)
0.999975 0.00707191i \(-0.00225108\pi\)
\(312\) 4.49108 + 1.08951i 0.254257 + 0.0616815i
\(313\) 11.8686 + 20.5570i 0.670852 + 1.16195i 0.977663 + 0.210179i \(0.0674046\pi\)
−0.306811 + 0.951770i \(0.599262\pi\)
\(314\) −3.31937 2.28521i −0.187323 0.128962i
\(315\) 19.7818i 1.11458i
\(316\) 14.0539 17.2990i 0.790595 0.973146i
\(317\) −14.6359 + 8.45005i −0.822035 + 0.474602i −0.851118 0.524975i \(-0.824075\pi\)
0.0290826 + 0.999577i \(0.490741\pi\)
\(318\) −3.50625 0.278744i −0.196621 0.0156312i
\(319\) −17.7953 30.8223i −0.996343 1.72572i
\(320\) −21.4411 + 13.7795i −1.19860 + 0.770299i
\(321\) −5.61326 + 9.72245i −0.313302 + 0.542654i
\(322\) −8.57662 + 4.08250i −0.477956 + 0.227509i
\(323\) 3.19630 + 3.60647i 0.177847 + 0.200669i
\(324\) 7.29983 8.98538i 0.405546 0.499188i
\(325\) 11.9440 + 6.89588i 0.662535 + 0.382515i
\(326\) 12.1296 + 0.964297i 0.671799 + 0.0534075i
\(327\) −2.58593 + 1.49299i −0.143002 + 0.0825624i
\(328\) −0.757471 + 0.794416i −0.0418243 + 0.0438643i
\(329\) −3.97758 6.88937i −0.219291 0.379823i
\(330\) 6.45961 + 13.5705i 0.355590 + 0.747033i
\(331\) −9.72419 −0.534490 −0.267245 0.963629i \(-0.586113\pi\)
−0.267245 + 0.963629i \(0.586113\pi\)
\(332\) 1.31098 8.19313i 0.0719494 0.449656i
\(333\) −1.02479 + 0.591661i −0.0561580 + 0.0324228i
\(334\) 22.9991 10.9477i 1.25846 0.599029i
\(335\) −27.2117 −1.48673
\(336\) 3.84497 + 4.29759i 0.209760 + 0.234453i
\(337\) 8.24404 + 4.75970i 0.449081 + 0.259277i 0.707442 0.706771i \(-0.249849\pi\)
−0.258361 + 0.966049i \(0.583182\pi\)
\(338\) 6.78898 + 4.67386i 0.369272 + 0.254225i
\(339\) 9.42411 + 5.44101i 0.511847 + 0.295515i
\(340\) −2.51406 6.58052i −0.136344 0.356879i
\(341\) 5.54972i 0.300534i
\(342\) −1.97529 16.0777i −0.106811 0.869385i
\(343\) 19.8878i 1.07384i
\(344\) 11.1832 11.7287i 0.602958 0.632367i
\(345\) 4.78489 + 2.76256i 0.257610 + 0.148731i
\(346\) −14.1754 + 20.5903i −0.762072 + 1.10694i
\(347\) 15.9269 + 9.19538i 0.854999 + 0.493634i 0.862334 0.506339i \(-0.169002\pi\)
−0.00733524 + 0.999973i \(0.502335\pi\)
\(348\) −1.25499 + 7.84321i −0.0672745 + 0.420440i
\(349\) 5.86074 0.313718 0.156859 0.987621i \(-0.449863\pi\)
0.156859 + 0.987621i \(0.449863\pi\)
\(350\) 7.39655 + 15.5389i 0.395362 + 0.830588i
\(351\) 7.96324 4.59758i 0.425046 0.245401i
\(352\) 28.5274 + 11.9491i 1.52052 + 0.636889i
\(353\) −12.9828 −0.691006 −0.345503 0.938418i \(-0.612292\pi\)
−0.345503 + 0.938418i \(0.612292\pi\)
\(354\) −10.6335 + 5.06158i −0.565164 + 0.269020i
\(355\) −3.42315 5.92906i −0.181682 0.314682i
\(356\) −9.04189 + 3.45442i −0.479219 + 0.183084i
\(357\) −1.38028 + 0.796908i −0.0730524 + 0.0421768i
\(358\) 1.67673 21.0911i 0.0886177 1.11470i
\(359\) −29.5172 17.0418i −1.55786 0.899430i −0.997462 0.0712049i \(-0.977316\pi\)
−0.560396 0.828225i \(-0.689351\pi\)
\(360\) −5.58249 + 23.0116i −0.294223 + 1.21282i
\(361\) −15.1938 11.4082i −0.799676 0.600432i
\(362\) −10.6395 22.3517i −0.559199 1.17478i
\(363\) 5.76358 9.98282i 0.302510 0.523962i
\(364\) −4.51673 11.8225i −0.236741 0.619665i
\(365\) −12.4870 21.6281i −0.653597 1.13206i
\(366\) 0.927052 11.6611i 0.0484578 0.609538i
\(367\) −11.3161 + 6.53337i −0.590697 + 0.341039i −0.765373 0.643587i \(-0.777446\pi\)
0.174676 + 0.984626i \(0.444112\pi\)
\(368\) 11.1290 2.32869i 0.580139 0.121391i
\(369\) 1.01979i 0.0530880i
\(370\) 1.15052 1.67117i 0.0598124 0.0868801i
\(371\) 4.81621 + 8.34193i 0.250045 + 0.433091i
\(372\) 0.780982 0.961313i 0.0404920 0.0498417i
\(373\) 11.8954i 0.615922i −0.951399 0.307961i \(-0.900353\pi\)
0.951399 0.307961i \(-0.0996466\pi\)
\(374\) −4.84746 + 7.04114i −0.250656 + 0.364089i
\(375\) 0.145754 0.252453i 0.00752668 0.0130366i
\(376\) 2.68279 + 9.13667i 0.138354 + 0.471188i
\(377\) 8.71626 15.0970i 0.448910 0.777535i
\(378\) 11.4377 + 0.909288i 0.588292 + 0.0467687i
\(379\) 8.93709 0.459068 0.229534 0.973301i \(-0.426280\pi\)
0.229534 + 0.973301i \(0.426280\pi\)
\(380\) 14.9061 + 23.4351i 0.764668 + 1.20220i
\(381\) 5.91630 0.303101
\(382\) −26.2961 2.09052i −1.34543 0.106960i
\(383\) 6.14400 10.6417i 0.313944 0.543767i −0.665269 0.746604i \(-0.731683\pi\)
0.979212 + 0.202838i \(0.0650163\pi\)
\(384\) −3.25994 6.08431i −0.166358 0.310489i
\(385\) 20.5797 35.6451i 1.04884 1.81664i
\(386\) −5.97015 + 8.67189i −0.303873 + 0.441388i
\(387\) 15.0560i 0.765340i
\(388\) 1.14983 + 0.934136i 0.0583738 + 0.0474236i
\(389\) −3.61961 6.26935i −0.183522 0.317869i 0.759556 0.650442i \(-0.225416\pi\)
−0.943077 + 0.332573i \(0.892083\pi\)
\(390\) −4.17445 + 6.06356i −0.211381 + 0.307040i
\(391\) 3.14256i 0.158926i
\(392\) −0.944648 + 3.89393i −0.0477119 + 0.196673i
\(393\) 4.15867 2.40101i 0.209777 0.121115i
\(394\) 1.58864 19.9831i 0.0800345 1.00673i
\(395\) 17.7521 + 30.7475i 0.893205 + 1.54708i
\(396\) 26.8424 10.2550i 1.34888 0.515335i
\(397\) −14.7425 + 25.5347i −0.739904 + 1.28155i 0.212633 + 0.977132i \(0.431796\pi\)
−0.952538 + 0.304420i \(0.901537\pi\)
\(398\) 4.08097 + 8.57342i 0.204561 + 0.429747i
\(399\) 4.70279 4.16794i 0.235434 0.208658i
\(400\) −4.21906 20.1632i −0.210953 1.00816i
\(401\) 3.17820 + 1.83494i 0.158712 + 0.0916323i 0.577252 0.816566i \(-0.304125\pi\)
−0.418541 + 0.908198i \(0.637458\pi\)
\(402\) 0.584038 7.34646i 0.0291291 0.366408i
\(403\) −2.35412 + 1.35915i −0.117267 + 0.0677040i
\(404\) −3.85226 10.0832i −0.191657 0.501659i
\(405\) 9.22072 + 15.9707i 0.458181 + 0.793593i
\(406\) 19.6408 9.34910i 0.974759 0.463988i
\(407\) −2.46210 −0.122042
\(408\) 1.83053 0.537497i 0.0906248 0.0266101i
\(409\) 0.913849 0.527611i 0.0451869 0.0260887i −0.477236 0.878775i \(-0.658361\pi\)
0.522423 + 0.852686i \(0.325028\pi\)
\(410\) −0.751506 1.57878i −0.0371142 0.0779706i
\(411\) −6.49692 −0.320469
\(412\) −14.9067 2.38522i −0.734400 0.117511i
\(413\) 27.9305 + 16.1257i 1.37437 + 0.793494i
\(414\) 5.99006 8.70081i 0.294395 0.427622i
\(415\) 11.4465 + 6.60864i 0.561886 + 0.324405i
\(416\) 1.91784 + 15.0273i 0.0940296 + 0.736775i
\(417\) 2.72337i 0.133364i
\(418\) 13.1669 31.0256i 0.644015 1.51751i
\(419\) 12.9932i 0.634757i 0.948299 + 0.317379i \(0.102803\pi\)
−0.948299 + 0.317379i \(0.897197\pi\)
\(420\) −8.58091 + 3.27831i −0.418706 + 0.159965i
\(421\) 28.8014 + 16.6285i 1.40369 + 0.810424i 0.994770 0.102144i \(-0.0325704\pi\)
0.408925 + 0.912568i \(0.365904\pi\)
\(422\) −8.89910 6.12657i −0.433201 0.298237i
\(423\) 7.66158 + 4.42342i 0.372519 + 0.215074i
\(424\) −3.24843 11.0630i −0.157758 0.537269i
\(425\) 5.69360 0.276180
\(426\) 1.67417 0.796908i 0.0811136 0.0386103i
\(427\) −27.7437 + 16.0178i −1.34261 + 0.775157i
\(428\) −36.3394 5.81465i −1.75653 0.281062i
\(429\) 8.93330 0.431304
\(430\) 11.0951 + 23.3090i 0.535055 + 1.12406i
\(431\) 4.67046 + 8.08948i 0.224968 + 0.389656i 0.956310 0.292355i \(-0.0944388\pi\)
−0.731342 + 0.682011i \(0.761106\pi\)
\(432\) −13.0485 4.28550i −0.627796 0.206186i
\(433\) −11.4412 + 6.60558i −0.549829 + 0.317444i −0.749053 0.662510i \(-0.769491\pi\)
0.199224 + 0.979954i \(0.436158\pi\)
\(434\) −3.38125 0.268806i −0.162305 0.0129031i
\(435\) −10.9576 6.32639i −0.525378 0.303327i
\(436\) −7.59718 6.17204i −0.363839 0.295587i
\(437\) −2.48071 12.1393i −0.118669 0.580702i
\(438\) 6.10703 2.90696i 0.291805 0.138900i
\(439\) 9.90270 17.1520i 0.472630 0.818619i −0.526879 0.849940i \(-0.676638\pi\)
0.999509 + 0.0313210i \(0.00997142\pi\)
\(440\) −33.9988 + 35.6571i −1.62083 + 1.69989i
\(441\) 1.86131 + 3.22388i 0.0886336 + 0.153518i
\(442\) −4.17392 0.331823i −0.198533 0.0157832i
\(443\) −8.86172 + 5.11632i −0.421033 + 0.243084i −0.695519 0.718508i \(-0.744826\pi\)
0.274486 + 0.961591i \(0.411492\pi\)
\(444\) 0.426480 + 0.346478i 0.0202399 + 0.0164431i
\(445\) 15.4186i 0.730914i
\(446\) 1.99995 + 1.37686i 0.0947004 + 0.0651964i
\(447\) −2.44630 4.23711i −0.115706 0.200408i
\(448\) −8.66191 + 16.8020i −0.409237 + 0.793818i
\(449\) 9.69618i 0.457591i 0.973475 + 0.228795i \(0.0734787\pi\)
−0.973475 + 0.228795i \(0.926521\pi\)
\(450\) −15.7639 10.8526i −0.743117 0.511598i
\(451\) −1.06092 + 1.83757i −0.0499567 + 0.0865276i
\(452\) −5.63622 + 35.2243i −0.265106 + 1.65681i
\(453\) 1.68993 2.92704i 0.0793997 0.137524i
\(454\) −1.93580 + 24.3500i −0.0908517 + 1.14280i
\(455\) 20.1602 0.945125
\(456\) −6.64681 + 3.52129i −0.311266 + 0.164900i
\(457\) −8.85003 −0.413987 −0.206993 0.978342i \(-0.566368\pi\)
−0.206993 + 0.978342i \(0.566368\pi\)
\(458\) 1.88220 23.6757i 0.0879493 1.10629i
\(459\) 1.89800 3.28743i 0.0885911 0.153444i
\(460\) −2.86167 + 17.8844i −0.133426 + 0.833864i
\(461\) −4.85595 + 8.41075i −0.226164 + 0.391728i −0.956668 0.291181i \(-0.905952\pi\)
0.730504 + 0.682909i \(0.239285\pi\)
\(462\) 9.18156 + 6.32103i 0.427165 + 0.294081i
\(463\) 38.4094i 1.78504i 0.451013 + 0.892518i \(0.351063\pi\)
−0.451013 + 0.892518i \(0.648937\pi\)
\(464\) −25.4859 + 5.33281i −1.18315 + 0.247569i
\(465\) 0.986490 + 1.70865i 0.0457474 + 0.0792368i
\(466\) 3.87543 + 2.66803i 0.179526 + 0.123594i
\(467\) 21.7838i 1.00803i −0.863694 0.504016i \(-0.831855\pi\)
0.863694 0.504016i \(-0.168145\pi\)
\(468\) 10.9239 + 8.87467i 0.504955 + 0.410232i
\(469\) −17.4784 + 10.0911i −0.807076 + 0.465966i
\(470\) −15.1210 1.20211i −0.697480 0.0554491i
\(471\) 0.869284 + 1.50564i 0.0400545 + 0.0693764i
\(472\) −27.9400 26.6406i −1.28604 1.22623i
\(473\) 15.6633 27.1296i 0.720198 1.24742i
\(474\) −8.68206 + 4.13269i −0.398780 + 0.189821i
\(475\) −21.9937 + 4.49448i −1.00914 + 0.206221i
\(476\) −4.05512 3.29443i −0.185866 0.151000i
\(477\) −9.27696 5.35605i −0.424763 0.245237i
\(478\) 6.81168 + 0.541523i 0.311559 + 0.0247687i
\(479\) 10.5544 6.09359i 0.482243 0.278423i −0.239108 0.970993i \(-0.576855\pi\)
0.721351 + 0.692570i \(0.243522\pi\)
\(480\) 10.9070 1.39199i 0.497836 0.0635355i
\(481\) −0.602978 1.04439i −0.0274934 0.0476200i
\(482\) −16.2667 34.1735i −0.740928 1.55656i
\(483\) 4.09786 0.186459
\(484\) 37.3125 + 5.97036i 1.69602 + 0.271380i
\(485\) −2.04373 + 1.17995i −0.0928008 + 0.0535786i
\(486\) −17.6628 + 8.40756i −0.801202 + 0.381375i
\(487\) 27.8697 1.26290 0.631448 0.775418i \(-0.282461\pi\)
0.631448 + 0.775418i \(0.282461\pi\)
\(488\) 36.7936 10.8037i 1.66557 0.489060i
\(489\) −4.54611 2.62470i −0.205582 0.118693i
\(490\) −5.25733 3.61940i −0.237502 0.163508i
\(491\) 14.9996 + 8.66002i 0.676922 + 0.390821i 0.798694 0.601737i \(-0.205524\pi\)
−0.121772 + 0.992558i \(0.538858\pi\)
\(492\) 0.442361 0.169002i 0.0199432 0.00761922i
\(493\) 7.19660i 0.324119i
\(494\) 16.3853 2.01307i 0.737208 0.0905722i
\(495\) 45.7729i 2.05734i
\(496\) 3.85744 + 1.26689i 0.173204 + 0.0568851i
\(497\) −4.39745 2.53887i −0.197253 0.113884i
\(498\) −2.02984 + 2.94842i −0.0909591 + 0.132122i
\(499\) 1.00693 + 0.581349i 0.0450762 + 0.0260248i 0.522369 0.852720i \(-0.325048\pi\)
−0.477293 + 0.878744i \(0.658382\pi\)
\(500\) 0.943586 + 0.150983i 0.0421984 + 0.00675216i
\(501\) −10.9889 −0.490946
\(502\) −8.94110 18.7837i −0.399061 0.838358i
\(503\) −11.1928 + 6.46214i −0.499060 + 0.288133i −0.728325 0.685231i \(-0.759701\pi\)
0.229265 + 0.973364i \(0.426368\pi\)
\(504\) 4.94789 + 16.8508i 0.220396 + 0.750595i
\(505\) 17.1944 0.765140
\(506\) 19.8453 9.44642i 0.882231 0.419944i
\(507\) −1.77791 3.07944i −0.0789599 0.136763i
\(508\) 6.92155 + 18.1170i 0.307094 + 0.803813i
\(509\) 25.6884 14.8312i 1.13862 0.657381i 0.192530 0.981291i \(-0.438331\pi\)
0.946088 + 0.323910i \(0.104998\pi\)
\(510\) −0.240842 + 3.02949i −0.0106647 + 0.134148i
\(511\) −16.0410 9.26130i −0.709614 0.409696i
\(512\) 14.8177 17.1008i 0.654855 0.755754i
\(513\) −4.73667 + 14.1972i −0.209129 + 0.626822i
\(514\) 6.14440 + 12.9083i 0.271018 + 0.569362i
\(515\) 12.0239 20.8259i 0.529834 0.917700i
\(516\) −6.53096 + 2.49513i −0.287509 + 0.109842i
\(517\) 9.20365 + 15.9412i 0.404776 + 0.701093i
\(518\) 0.119254 1.50007i 0.00523973 0.0659092i
\(519\) 9.33962 5.39223i 0.409964 0.236693i
\(520\) −23.4517 5.68927i −1.02843 0.249491i
\(521\) 35.2430i 1.54402i 0.635608 + 0.772012i \(0.280749\pi\)
−0.635608 + 0.772012i \(0.719251\pi\)
\(522\) −13.7175 + 19.9253i −0.600399 + 0.872105i
\(523\) −11.4242 19.7872i −0.499543 0.865234i 0.500457 0.865762i \(-0.333166\pi\)
−1.00000 0.000527203i \(0.999832\pi\)
\(524\) 12.2177 + 9.92581i 0.533733 + 0.433611i
\(525\) 7.42439i 0.324027i
\(526\) −12.6587 + 18.3873i −0.551945 + 0.801724i
\(527\) −0.561093 + 0.971841i −0.0244416 + 0.0423341i
\(528\) −8.89681 9.94412i −0.387184 0.432762i
\(529\) −7.46008 + 12.9212i −0.324351 + 0.561793i
\(530\) 18.3091 + 1.45556i 0.795298 + 0.0632255i
\(531\) −35.8664 −1.55647
\(532\) 18.2650 + 9.52489i 0.791890 + 0.412956i
\(533\) −1.03929 −0.0450168
\(534\) 4.16264 + 0.330927i 0.180135 + 0.0143206i
\(535\) 29.3116 50.7692i 1.26725 2.19494i
\(536\) 23.1798 6.80626i 1.00121 0.293986i
\(537\) −4.56384 + 7.90481i −0.196944 + 0.341118i
\(538\) −0.0585951 + 0.0851118i −0.00252621 + 0.00366943i
\(539\) 7.74551i 0.333623i
\(540\) 13.7952 16.9805i 0.593650 0.730725i
\(541\) −18.2188 31.5560i −0.783289 1.35670i −0.930016 0.367520i \(-0.880207\pi\)
0.146727 0.989177i \(-0.453126\pi\)
\(542\) −6.00469 + 8.72207i −0.257924 + 0.374645i
\(543\) 10.6795i 0.458302i
\(544\) 3.78750 + 4.97667i 0.162388 + 0.213373i
\(545\) 13.5033 7.79616i 0.578420 0.333951i
\(546\) −0.432693 + 5.44274i −0.0185176 + 0.232928i
\(547\) −14.8588 25.7362i −0.635317 1.10040i −0.986448 0.164075i \(-0.947536\pi\)
0.351131 0.936326i \(-0.385797\pi\)
\(548\) −7.60082 19.8950i −0.324691 0.849873i
\(549\) 17.8132 30.8534i 0.760250 1.31679i
\(550\) −17.1148 35.9551i −0.729776 1.53313i
\(551\) 5.68094 + 27.7996i 0.242016 + 1.18430i
\(552\) −4.76691 1.15643i −0.202893 0.0492208i
\(553\) 22.8048 + 13.1663i 0.969757 + 0.559889i
\(554\) −2.13598 + 26.8680i −0.0907493 + 1.14151i
\(555\) −0.758033 + 0.437650i −0.0321767 + 0.0185772i
\(556\) −8.33958 + 3.18611i −0.353677 + 0.135121i
\(557\) −2.98070 5.16273i −0.126296 0.218752i 0.795943 0.605372i \(-0.206976\pi\)
−0.922239 + 0.386620i \(0.873642\pi\)
\(558\) 3.40593 1.62123i 0.144185 0.0686323i
\(559\) 15.3440 0.648982
\(560\) −20.0778 22.4414i −0.848443 0.948321i
\(561\) 3.19382 1.84395i 0.134843 0.0778517i
\(562\) 5.32225 + 11.1811i 0.224506 + 0.471647i
\(563\) −35.3916 −1.49158 −0.745789 0.666182i \(-0.767927\pi\)
−0.745789 + 0.666182i \(0.767927\pi\)
\(564\) 0.649077 4.05648i 0.0273311 0.170809i
\(565\) −49.2113 28.4121i −2.07033 1.19531i
\(566\) 16.6061 24.1210i 0.698006 1.01388i
\(567\) 11.8451 + 6.83880i 0.497449 + 0.287203i
\(568\) 4.39894 + 4.19436i 0.184575 + 0.175991i
\(569\) 30.2541i 1.26832i 0.773203 + 0.634158i \(0.218653\pi\)
−0.773203 + 0.634158i \(0.781347\pi\)
\(570\) −1.46111 11.8927i −0.0611993 0.498129i
\(571\) 25.4945i 1.06691i 0.845828 + 0.533456i \(0.179107\pi\)
−0.845828 + 0.533456i \(0.820893\pi\)
\(572\) 10.4512 + 27.3558i 0.436986 + 1.14380i
\(573\) 9.85562 + 5.69015i 0.411725 + 0.237709i
\(574\) −1.06818 0.735384i −0.0445848 0.0306943i
\(575\) −12.6776 7.31941i −0.528692 0.305240i
\(576\) −1.00037 20.9983i −0.0416822 0.874930i
\(577\) −12.0785 −0.502836 −0.251418 0.967879i \(-0.580897\pi\)
−0.251418 + 0.967879i \(0.580897\pi\)
\(578\) 20.1471 9.59007i 0.838008 0.398894i
\(579\) 3.93351 2.27102i 0.163471 0.0943802i
\(580\) 6.55336 40.9561i 0.272114 1.70061i
\(581\) 9.80296 0.406695
\(582\) −0.274691 0.577079i −0.0113863 0.0239207i
\(583\) −11.1442 19.3022i −0.461544 0.799417i
\(584\) 16.0465 + 15.3002i 0.664007 + 0.633127i
\(585\) −19.4162 + 11.2100i −0.802762 + 0.463475i
\(586\) −27.9062 2.21852i −1.15280 0.0916464i
\(587\) −18.8754 10.8977i −0.779070 0.449796i 0.0570304 0.998372i \(-0.481837\pi\)
−0.836101 + 0.548576i \(0.815170\pi\)
\(588\) 1.08998 1.34166i 0.0449502 0.0553293i
\(589\) 1.40027 4.19702i 0.0576970 0.172935i
\(590\) 55.5265 26.4308i 2.28599 1.08814i
\(591\) −4.32408 + 7.48953i −0.177869 + 0.308078i
\(592\) −0.562048 + 1.71133i −0.0231000 + 0.0703351i
\(593\) −10.3212 17.8768i −0.423839 0.734111i 0.572472 0.819924i \(-0.305984\pi\)
−0.996311 + 0.0858135i \(0.972651\pi\)
\(594\) −26.4655 2.10399i −1.08589 0.0863276i
\(595\) 7.20764 4.16133i 0.295484 0.170598i
\(596\) 10.1130 12.4482i 0.414246 0.509896i
\(597\) 4.09633i 0.167652i
\(598\) 8.86723 + 6.10463i 0.362608 + 0.249637i
\(599\) −18.6426 32.2900i −0.761717 1.31933i −0.941965 0.335711i \(-0.891023\pi\)
0.180248 0.983621i \(-0.442310\pi\)
\(600\) −2.09518 + 8.63655i −0.0855355 + 0.352586i
\(601\) 32.9087i 1.34238i −0.741287 0.671188i \(-0.765784\pi\)
0.741287 0.671188i \(-0.234216\pi\)
\(602\) 15.7704 + 10.8571i 0.642754 + 0.442503i
\(603\) 11.2222 19.4375i 0.457005 0.791556i
\(604\) 10.9403 + 1.75056i 0.445155 + 0.0712292i
\(605\) −30.0965 + 52.1287i −1.22360 + 2.11933i
\(606\) −0.369039 + 4.64204i −0.0149912 + 0.188570i
\(607\) 43.4094 1.76193 0.880966 0.473180i \(-0.156894\pi\)
0.880966 + 0.473180i \(0.156894\pi\)
\(608\) −18.5592 16.2344i −0.752674 0.658394i
\(609\) −9.38428 −0.380270
\(610\) −4.84092 + 60.8927i −0.196003 + 2.46548i
\(611\) −4.50802 + 7.80813i −0.182375 + 0.315883i
\(612\) 5.73732 + 0.918027i 0.231918 + 0.0371090i
\(613\) −23.0269 + 39.8838i −0.930048 + 1.61089i −0.146814 + 0.989164i \(0.546902\pi\)
−0.783234 + 0.621727i \(0.786431\pi\)
\(614\) 10.4274 + 7.17871i 0.420814 + 0.289709i
\(615\) 0.754334i 0.0304177i
\(616\) −8.61480 + 35.5111i −0.347100 + 1.43078i
\(617\) −4.97177 8.61136i −0.200156 0.346680i 0.748423 0.663222i \(-0.230812\pi\)
−0.948579 + 0.316542i \(0.897478\pi\)
\(618\) 5.36440 + 3.69311i 0.215788 + 0.148559i
\(619\) 4.75114i 0.190964i 0.995431 + 0.0954822i \(0.0304393\pi\)
−0.995431 + 0.0954822i \(0.969561\pi\)
\(620\) −4.07817 + 5.01983i −0.163783 + 0.201601i
\(621\) −8.45232 + 4.87995i −0.339180 + 0.195826i
\(622\) −0.351636 0.0279548i −0.0140993 0.00112089i
\(623\) −5.71783 9.90358i −0.229080 0.396778i
\(624\) 2.03929 6.20926i 0.0816371 0.248569i
\(625\) 12.1138 20.9818i 0.484553 0.839270i
\(626\) 30.3107 14.4280i 1.21146 0.576658i
\(627\) −10.8817 + 9.64413i −0.434574 + 0.385149i
\(628\) −3.59364 + 4.42342i −0.143402 + 0.176514i
\(629\) −0.431151 0.248925i −0.0171911 0.00992530i
\(630\) −27.8878 2.21705i −1.11107 0.0883296i
\(631\) 17.8068 10.2807i 0.708876 0.409270i −0.101769 0.994808i \(-0.532450\pi\)
0.810645 + 0.585538i \(0.199117\pi\)
\(632\) −22.8125 21.7515i −0.907431 0.865230i
\(633\) 2.33052 + 4.03657i 0.0926297 + 0.160439i
\(634\) 10.2723 + 21.5803i 0.407964 + 0.857062i
\(635\) −30.8940 −1.22599
\(636\) −0.785929 + 4.91176i −0.0311641 + 0.194764i
\(637\) −3.28554 + 1.89691i −0.130178 + 0.0751582i
\(638\) −45.4466 + 21.6327i −1.79925 + 0.856448i
\(639\) 5.64689 0.223388
\(640\) 17.0229 + 31.7713i 0.672889 + 1.25587i
\(641\) 33.0540 + 19.0838i 1.30556 + 0.753763i 0.981351 0.192223i \(-0.0615698\pi\)
0.324205 + 0.945987i \(0.394903\pi\)
\(642\) 13.0773 + 9.00303i 0.516119 + 0.355321i
\(643\) 18.5705 + 10.7217i 0.732350 + 0.422822i 0.819281 0.573392i \(-0.194373\pi\)
−0.0869313 + 0.996214i \(0.527706\pi\)
\(644\) 4.79414 + 12.5486i 0.188915 + 0.494483i
\(645\) 11.1369i 0.438515i
\(646\) 5.44251 4.10184i 0.214133 0.161385i
\(647\) 23.8222i 0.936547i 0.883583 + 0.468274i \(0.155124\pi\)
−0.883583 + 0.468274i \(0.844876\pi\)
\(648\) −11.8492 11.2981i −0.465479 0.443831i
\(649\) −64.6280 37.3130i −2.53687 1.46466i
\(650\) 11.0602 16.0654i 0.433817 0.630137i
\(651\) 1.26727 + 0.731658i 0.0496682 + 0.0286759i
\(652\) 2.71887 16.9919i 0.106479 0.665453i
\(653\) 16.6726 0.652450 0.326225 0.945292i \(-0.394223\pi\)
0.326225 + 0.945292i \(0.394223\pi\)
\(654\) 1.81494 + 3.81288i 0.0709699 + 0.149096i
\(655\) −21.7159 + 12.5377i −0.848512 + 0.489888i
\(656\) 1.03505 + 1.15689i 0.0404118 + 0.0451690i
\(657\) 20.5988 0.803634
\(658\) −10.1582 + 4.83533i −0.396007 + 0.188501i
\(659\) 7.26163 + 12.5775i 0.282873 + 0.489950i 0.972091 0.234604i \(-0.0753792\pi\)
−0.689218 + 0.724554i \(0.742046\pi\)
\(660\) 19.8552 7.58562i 0.772864 0.295270i
\(661\) 19.7070 11.3778i 0.766513 0.442547i −0.0651162 0.997878i \(-0.520742\pi\)
0.831629 + 0.555331i \(0.187408\pi\)
\(662\) −1.08984 + 13.7088i −0.0423579 + 0.532809i
\(663\) 1.56436 + 0.903182i 0.0607546 + 0.0350767i
\(664\) −11.4035 2.76642i −0.442540 0.107358i
\(665\) −24.5573 + 21.7644i −0.952290 + 0.843985i
\(666\) 0.719251 + 1.51102i 0.0278704 + 0.0585509i
\(667\) −9.25159 + 16.0242i −0.358223 + 0.620461i
\(668\) −12.8560 33.6504i −0.497414 1.30197i
\(669\) −0.523752 0.907165i −0.0202494 0.0350730i
\(670\) −3.04976 + 38.3621i −0.117822 + 1.48206i
\(671\) 64.1957 37.0634i 2.47825 1.43082i
\(672\) 6.48952 4.93885i 0.250339 0.190520i
\(673\) 11.1598i 0.430180i 0.976594 + 0.215090i \(0.0690044\pi\)
−0.976594 + 0.215090i \(0.930996\pi\)
\(674\) 7.63401 11.0887i 0.294051 0.427121i
\(675\) 8.84136 + 15.3137i 0.340304 + 0.589424i
\(676\) 7.34993 9.04704i 0.282689 0.347963i
\(677\) 36.0612i 1.38594i 0.720965 + 0.692972i \(0.243699\pi\)
−0.720965 + 0.692972i \(0.756301\pi\)
\(678\) 8.72676 12.6760i 0.335149 0.486818i
\(679\) −0.875139 + 1.51579i −0.0335848 + 0.0581705i
\(680\) −9.55875 + 2.80673i −0.366561 + 0.107633i
\(681\) 5.26902 9.12621i 0.201909 0.349717i
\(682\) 7.82381 + 0.621986i 0.299589 + 0.0238171i
\(683\) 15.5917 0.596598 0.298299 0.954472i \(-0.403581\pi\)
0.298299 + 0.954472i \(0.403581\pi\)
\(684\) −22.8872 + 0.982774i −0.875115 + 0.0375773i
\(685\) 33.9259 1.29624
\(686\) −28.0371 2.22893i −1.07046 0.0851009i
\(687\) −5.12311 + 8.87348i −0.195459 + 0.338544i
\(688\) −15.2813 17.0802i −0.582594 0.651176i
\(689\) 5.45850 9.45440i 0.207952 0.360184i
\(690\) 4.43083 6.43597i 0.168679 0.245013i
\(691\) 22.9437i 0.872818i 0.899748 + 0.436409i \(0.143750\pi\)
−0.899748 + 0.436409i \(0.856250\pi\)
\(692\) 27.4388 + 22.2916i 1.04307 + 0.847399i
\(693\) 16.9744 + 29.4004i 0.644802 + 1.11683i
\(694\) 14.7483 21.4226i 0.559839 0.813190i
\(695\) 14.2210i 0.539435i
\(696\) 10.9164 + 2.64827i 0.413786 + 0.100382i
\(697\) −0.371566 + 0.214524i −0.0140741 + 0.00812567i
\(698\) 0.656844 8.26227i 0.0248619 0.312732i
\(699\) −1.01491 1.75787i −0.0383873 0.0664887i
\(700\) 22.7351 8.68588i 0.859308 0.328296i
\(701\) −9.13435 + 15.8212i −0.345000 + 0.597557i −0.985354 0.170523i \(-0.945454\pi\)
0.640354 + 0.768080i \(0.278788\pi\)
\(702\) −5.58903 11.7416i −0.210944 0.443157i
\(703\) 1.86198 + 0.621220i 0.0702260 + 0.0234297i
\(704\) 20.0427 38.8778i 0.755386 1.46526i
\(705\) 5.66725 + 3.27199i 0.213441 + 0.123230i
\(706\) −1.45505 + 18.3028i −0.0547617 + 0.688833i
\(707\) 11.0442 6.37634i 0.415358 0.239807i
\(708\) 5.94389 + 15.5580i 0.223385 + 0.584706i
\(709\) −17.4758 30.2690i −0.656318 1.13678i −0.981562 0.191146i \(-0.938780\pi\)
0.325244 0.945630i \(-0.394554\pi\)
\(710\) −8.74224 + 4.16133i −0.328090 + 0.156172i
\(711\) −29.2842 −1.09824
\(712\) 3.85655 + 13.1341i 0.144530 + 0.492221i
\(713\) 2.49870 1.44262i 0.0935770 0.0540267i
\(714\) 0.968758 + 2.03519i 0.0362548 + 0.0761651i
\(715\) −46.6483 −1.74455
\(716\) −29.5456 4.72758i −1.10417 0.176678i
\(717\) −2.55297 1.47396i −0.0953425 0.0550460i
\(718\) −27.3330 + 39.7024i −1.02006 + 1.48168i
\(719\) −3.07635 1.77613i −0.114728 0.0662385i 0.441538 0.897243i \(-0.354433\pi\)
−0.556266 + 0.831004i \(0.687766\pi\)
\(720\) 31.8153 + 10.4490i 1.18569 + 0.389412i
\(721\) 17.8356i 0.664234i
\(722\) −17.7858 + 20.1412i −0.661917 + 0.749577i
\(723\) 16.3279i 0.607241i
\(724\) −32.7031 + 12.4941i −1.21540 + 0.464340i
\(725\) 29.0323 + 16.7618i 1.07823 + 0.622517i
\(726\) −13.4275 9.24413i −0.498340 0.343082i
\(727\) 6.15483 + 3.55349i 0.228270 + 0.131792i 0.609774 0.792576i \(-0.291260\pi\)
−0.381504 + 0.924367i \(0.624594\pi\)
\(728\) −17.1731 + 5.04252i −0.636478 + 0.186888i
\(729\) −8.92615 −0.330598
\(730\) −31.8900 + 15.1797i −1.18030 + 0.561827i
\(731\) 5.48575 3.16720i 0.202898 0.117143i
\(732\) −16.3356 2.61385i −0.603781 0.0966108i
\(733\) −15.8748 −0.586350 −0.293175 0.956059i \(-0.594712\pi\)
−0.293175 + 0.956059i \(0.594712\pi\)
\(734\) 7.94226 + 16.6853i 0.293154 + 0.615866i
\(735\) 1.37680 + 2.38469i 0.0507842 + 0.0879607i
\(736\) −2.03562 15.9503i −0.0750341 0.587934i
\(737\) 40.4429 23.3497i 1.48973 0.860098i
\(738\) 1.43766 + 0.114293i 0.0529211 + 0.00420718i
\(739\) 16.0186 + 9.24836i 0.589255 + 0.340206i 0.764803 0.644264i \(-0.222836\pi\)
−0.175548 + 0.984471i \(0.556170\pi\)
\(740\) −2.22702 1.80925i −0.0818667 0.0665095i
\(741\) −6.75588 2.25399i −0.248184 0.0828023i
\(742\) 12.2999 5.85481i 0.451545 0.214937i
\(743\) 7.00831 12.1387i 0.257110 0.445328i −0.708357 0.705855i \(-0.750563\pi\)
0.965466 + 0.260527i \(0.0838964\pi\)
\(744\) −1.26770 1.20874i −0.0464760 0.0443146i
\(745\) 12.7742 + 22.1255i 0.468010 + 0.810617i
\(746\) −16.7698 1.33318i −0.613985 0.0488113i
\(747\) −9.44119 + 5.45087i −0.345435 + 0.199437i
\(748\) 9.38308 + 7.62293i 0.343079 + 0.278722i
\(749\) 43.4795i 1.58871i
\(750\) −0.339564 0.233772i −0.0123991 0.00853615i
\(751\) 10.3122 + 17.8612i 0.376297 + 0.651765i 0.990520 0.137367i \(-0.0438640\pi\)
−0.614223 + 0.789132i \(0.710531\pi\)
\(752\) 13.1812 2.75811i 0.480670 0.100578i
\(753\) 8.97475i 0.327058i
\(754\) −20.3064 13.9799i −0.739514 0.509117i
\(755\) −8.82454 + 15.2846i −0.321158 + 0.556262i
\(756\) 2.56377 16.0226i 0.0932433 0.582735i
\(757\) 12.5598 21.7543i 0.456495 0.790672i −0.542278 0.840199i \(-0.682438\pi\)
0.998773 + 0.0495268i \(0.0157713\pi\)
\(758\) 1.00163 12.5992i 0.0363807 0.457624i
\(759\) −9.48196 −0.344173
\(760\) 34.7086 18.3876i 1.25902 0.666990i
\(761\) 7.58718 0.275035 0.137518 0.990499i \(-0.456088\pi\)
0.137518 + 0.990499i \(0.456088\pi\)
\(762\) 0.663070 8.34059i 0.0240205 0.302148i
\(763\) 5.78224 10.0151i 0.209331 0.362572i
\(764\) −5.89429 + 36.8371i −0.213248 + 1.33272i
\(765\) −4.62777 + 8.01553i −0.167317 + 0.289802i
\(766\) −14.3137 9.85427i −0.517177 0.356049i
\(767\) 36.5524i 1.31983i
\(768\) −8.94281 + 3.91385i −0.322696 + 0.141229i
\(769\) −10.2413 17.7384i −0.369309 0.639663i 0.620148 0.784485i \(-0.287072\pi\)
−0.989458 + 0.144822i \(0.953739\pi\)
\(770\) −47.9447 33.0075i −1.72781 1.18951i
\(771\) 6.16752i 0.222118i
\(772\) 11.5562 + 9.38842i 0.415918 + 0.337897i
\(773\) 16.5528 9.55676i 0.595363 0.343733i −0.171852 0.985123i \(-0.554975\pi\)
0.767215