Properties

Label 189.2.bd.a.47.7
Level $189$
Weight $2$
Character 189.47
Analytic conductor $1.509$
Analytic rank $0$
Dimension $132$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 189 = 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 189.bd (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.50917259820\)
Analytic rank: \(0\)
Dimension: \(132\)
Relative dimension: \(22\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 47.7
Character \(\chi\) \(=\) 189.47
Dual form 189.2.bd.a.185.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.38665 - 0.244504i) q^{2} +(-0.458387 + 1.67029i) q^{3} +(-0.0163608 - 0.00595485i) q^{4} +(1.98299 + 0.721749i) q^{5} +(1.04402 - 2.20404i) q^{6} +(-2.18605 + 1.49037i) q^{7} +(2.46004 + 1.42030i) q^{8} +(-2.57976 - 1.53128i) q^{9} +O(q^{10})\) \(q+(-1.38665 - 0.244504i) q^{2} +(-0.458387 + 1.67029i) q^{3} +(-0.0163608 - 0.00595485i) q^{4} +(1.98299 + 0.721749i) q^{5} +(1.04402 - 2.20404i) q^{6} +(-2.18605 + 1.49037i) q^{7} +(2.46004 + 1.42030i) q^{8} +(-2.57976 - 1.53128i) q^{9} +(-2.57325 - 1.48566i) q^{10} +(-1.26664 - 3.48007i) q^{11} +(0.0174459 - 0.0245978i) q^{12} +(-2.27684 + 6.25557i) q^{13} +(3.39569 - 1.53213i) q^{14} +(-2.11451 + 2.98133i) q^{15} +(-3.03727 - 2.54857i) q^{16} +(-1.61887 + 2.80397i) q^{17} +(3.20283 + 2.75412i) q^{18} +(-4.61385 + 2.66381i) q^{19} +(-0.0281454 - 0.0236168i) q^{20} +(-1.48730 - 4.33451i) q^{21} +(0.905502 + 5.13536i) q^{22} +(0.689782 - 0.121627i) q^{23} +(-3.49997 + 3.45793i) q^{24} +(-0.418902 - 0.351501i) q^{25} +(4.68670 - 8.11761i) q^{26} +(3.74022 - 3.60704i) q^{27} +(0.0446405 - 0.0113661i) q^{28} +(1.50083 + 4.12351i) q^{29} +(3.66104 - 3.61707i) q^{30} +(-0.513951 + 1.41207i) q^{31} +(-0.0633067 - 0.0754460i) q^{32} +(6.39336 - 0.520445i) q^{33} +(2.93040 - 3.49232i) q^{34} +(-5.41058 + 1.37761i) q^{35} +(0.0330885 + 0.0404152i) q^{36} +6.49662 q^{37} +(7.04913 - 2.56567i) q^{38} +(-9.40496 - 6.67047i) q^{39} +(3.85312 + 4.59197i) q^{40} +(10.4849 + 3.81619i) q^{41} +(1.00256 + 6.37411i) q^{42} +(1.29121 - 7.32280i) q^{43} +0.0644796i q^{44} +(-4.01044 - 4.89845i) q^{45} -0.986227 q^{46} +(-5.63412 + 2.05065i) q^{47} +(5.64911 - 3.90490i) q^{48} +(2.55760 - 6.51603i) q^{49} +(0.494929 + 0.589833i) q^{50} +(-3.94139 - 3.98930i) q^{51} +(0.0745020 - 0.0887880i) q^{52} +(0.766350 - 0.442452i) q^{53} +(-6.06833 + 4.08721i) q^{54} -7.81514i q^{55} +(-7.49453 + 0.561517i) q^{56} +(-2.33441 - 8.92755i) q^{57} +(-1.07292 - 6.08484i) q^{58} +(4.77604 - 4.00757i) q^{59} +(0.0523485 - 0.0361855i) q^{60} +(2.54368 + 6.98869i) q^{61} +(1.05793 - 1.83239i) q^{62} +(7.92166 - 0.497345i) q^{63} +(4.03421 + 6.98746i) q^{64} +(-9.02990 + 10.7614i) q^{65} +(-8.99262 - 0.841528i) q^{66} +(1.82662 + 10.3593i) q^{67} +(0.0431834 - 0.0362352i) q^{68} +(-0.113034 + 1.20789i) q^{69} +(7.83942 - 0.587358i) q^{70} +(-3.83248 + 2.21268i) q^{71} +(-4.17142 - 7.43105i) q^{72} +3.06138i q^{73} +(-9.00855 - 1.58845i) q^{74} +(0.779129 - 0.538566i) q^{75} +(0.0913491 - 0.0161073i) q^{76} +(7.95554 + 5.71984i) q^{77} +(11.4105 + 11.5492i) q^{78} +(-1.65307 + 9.37505i) q^{79} +(-4.18344 - 7.24593i) q^{80} +(4.31035 + 7.90069i) q^{81} +(-13.6058 - 7.85533i) q^{82} +(11.4377 - 4.16299i) q^{83} +(-0.00147789 + 0.0797727i) q^{84} +(-5.23397 + 4.39182i) q^{85} +(-3.58091 + 9.83847i) q^{86} +(-7.57543 + 0.616671i) q^{87} +(1.82677 - 10.3601i) q^{88} +(-2.17916 - 3.77442i) q^{89} +(4.36339 + 7.77303i) q^{90} +(-4.34583 - 17.0683i) q^{91} +(-0.0120097 - 0.00211763i) q^{92} +(-2.12298 - 1.50572i) q^{93} +(8.31397 - 1.46598i) q^{94} +(-11.0718 + 1.95226i) q^{95} +(0.155036 - 0.0711573i) q^{96} +(-6.85869 - 1.20937i) q^{97} +(-5.13970 + 8.41014i) q^{98} +(-2.06134 + 10.9174i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 132q - 3q^{2} - 9q^{3} - 3q^{4} - 9q^{5} + 18q^{6} - 6q^{7} - 18q^{8} - 15q^{9} + O(q^{10}) \) \( 132q - 3q^{2} - 9q^{3} - 3q^{4} - 9q^{5} + 18q^{6} - 6q^{7} - 18q^{8} - 15q^{9} - 9q^{10} + 9q^{11} - 9q^{12} - 42q^{14} - 24q^{15} - 15q^{16} - 9q^{17} - 3q^{18} - 9q^{19} - 18q^{20} + 15q^{21} - 12q^{22} + 30q^{23} - 36q^{24} - 3q^{25} - 12q^{28} + 6q^{29} - 3q^{30} - 9q^{31} - 51q^{32} - 9q^{33} + 18q^{34} - 9q^{35} - 6q^{37} - 9q^{38} - 9q^{39} - 9q^{40} + 27q^{42} - 12q^{43} - 63q^{45} - 6q^{46} + 45q^{47} + 30q^{49} - 9q^{50} + 33q^{51} - 9q^{52} + 45q^{53} + 117q^{54} - 51q^{56} - 3q^{58} - 9q^{59} - 15q^{60} - 63q^{61} + 99q^{62} - 33q^{63} + 18q^{64} - 102q^{65} + 63q^{66} - 3q^{67} + 144q^{68} - 108q^{69} - 15q^{70} + 18q^{71} + 15q^{72} - 33q^{74} - 9q^{75} - 36q^{76} - 57q^{77} + 66q^{78} - 21q^{79} - 72q^{80} + 57q^{81} - 18q^{82} + 90q^{83} + 51q^{84} + 9q^{85} - 33q^{86} - 9q^{87} + 45q^{88} - 9q^{89} - 81q^{90} - 21q^{91} + 150q^{92} - 87q^{93} - 9q^{94} + 27q^{95} - 9q^{96} - 180q^{98} + 96q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(136\)
\(\chi(n)\) \(e\left(\frac{7}{18}\right)\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.38665 0.244504i −0.980512 0.172891i −0.339654 0.940550i \(-0.610310\pi\)
−0.640858 + 0.767660i \(0.721421\pi\)
\(3\) −0.458387 + 1.67029i −0.264650 + 0.964345i
\(4\) −0.0163608 0.00595485i −0.00818041 0.00297743i
\(5\) 1.98299 + 0.721749i 0.886819 + 0.322776i 0.744958 0.667111i \(-0.232469\pi\)
0.141861 + 0.989887i \(0.454691\pi\)
\(6\) 1.04402 2.20404i 0.426219 0.899796i
\(7\) −2.18605 + 1.49037i −0.826248 + 0.563307i
\(8\) 2.46004 + 1.42030i 0.869754 + 0.502153i
\(9\) −2.57976 1.53128i −0.859921 0.510428i
\(10\) −2.57325 1.48566i −0.813732 0.469808i
\(11\) −1.26664 3.48007i −0.381907 1.04928i −0.970552 0.240890i \(-0.922561\pi\)
0.588645 0.808392i \(-0.299662\pi\)
\(12\) 0.0174459 0.0245978i 0.00503621 0.00710076i
\(13\) −2.27684 + 6.25557i −0.631482 + 1.73498i 0.0454806 + 0.998965i \(0.485518\pi\)
−0.676963 + 0.736017i \(0.736704\pi\)
\(14\) 3.39569 1.53213i 0.907536 0.409478i
\(15\) −2.11451 + 2.98133i −0.545964 + 0.769777i
\(16\) −3.03727 2.54857i −0.759318 0.637143i
\(17\) −1.61887 + 2.80397i −0.392635 + 0.680063i −0.992796 0.119816i \(-0.961770\pi\)
0.600161 + 0.799879i \(0.295103\pi\)
\(18\) 3.20283 + 2.75412i 0.754914 + 0.649153i
\(19\) −4.61385 + 2.66381i −1.05849 + 0.611120i −0.925014 0.379932i \(-0.875947\pi\)
−0.133476 + 0.991052i \(0.542614\pi\)
\(20\) −0.0281454 0.0236168i −0.00629351 0.00528088i
\(21\) −1.48730 4.33451i −0.324555 0.945867i
\(22\) 0.905502 + 5.13536i 0.193054 + 1.09486i
\(23\) 0.689782 0.121627i 0.143829 0.0253610i −0.101270 0.994859i \(-0.532291\pi\)
0.245099 + 0.969498i \(0.421179\pi\)
\(24\) −3.49997 + 3.45793i −0.714428 + 0.705848i
\(25\) −0.418902 0.351501i −0.0837805 0.0703002i
\(26\) 4.68670 8.11761i 0.919138 1.59199i
\(27\) 3.74022 3.60704i 0.719806 0.694175i
\(28\) 0.0446405 0.0113661i 0.00843625 0.00214799i
\(29\) 1.50083 + 4.12351i 0.278698 + 0.765716i 0.997511 + 0.0705128i \(0.0224636\pi\)
−0.718813 + 0.695204i \(0.755314\pi\)
\(30\) 3.66104 3.61707i 0.668411 0.660383i
\(31\) −0.513951 + 1.41207i −0.0923084 + 0.253615i −0.977251 0.212084i \(-0.931975\pi\)
0.884943 + 0.465699i \(0.154197\pi\)
\(32\) −0.0633067 0.0754460i −0.0111911 0.0133371i
\(33\) 6.39336 0.520445i 1.11294 0.0905978i
\(34\) 2.93040 3.49232i 0.502560 0.598927i
\(35\) −5.41058 + 1.37761i −0.914554 + 0.232859i
\(36\) 0.0330885 + 0.0404152i 0.00551475 + 0.00673586i
\(37\) 6.49662 1.06804 0.534019 0.845473i \(-0.320681\pi\)
0.534019 + 0.845473i \(0.320681\pi\)
\(38\) 7.04913 2.56567i 1.14352 0.416207i
\(39\) −9.40496 6.67047i −1.50600 1.06813i
\(40\) 3.85312 + 4.59197i 0.609232 + 0.726054i
\(41\) 10.4849 + 3.81619i 1.63746 + 0.595988i 0.986593 0.163200i \(-0.0521817\pi\)
0.650871 + 0.759188i \(0.274404\pi\)
\(42\) 1.00256 + 6.37411i 0.154699 + 0.983546i
\(43\) 1.29121 7.32280i 0.196907 1.11672i −0.712769 0.701399i \(-0.752559\pi\)
0.909676 0.415318i \(-0.136330\pi\)
\(44\) 0.0644796i 0.00972066i
\(45\) −4.01044 4.89845i −0.597841 0.730219i
\(46\) −0.986227 −0.145411
\(47\) −5.63412 + 2.05065i −0.821821 + 0.299119i −0.718498 0.695529i \(-0.755170\pi\)
−0.103324 + 0.994648i \(0.532948\pi\)
\(48\) 5.64911 3.90490i 0.815379 0.563624i
\(49\) 2.55760 6.51603i 0.365371 0.930862i
\(50\) 0.494929 + 0.589833i 0.0699935 + 0.0834150i
\(51\) −3.94139 3.98930i −0.551905 0.558614i
\(52\) 0.0745020 0.0887880i 0.0103316 0.0123127i
\(53\) 0.766350 0.442452i 0.105266 0.0607755i −0.446443 0.894812i \(-0.647309\pi\)
0.551709 + 0.834037i \(0.313976\pi\)
\(54\) −6.06833 + 4.08721i −0.825795 + 0.556199i
\(55\) 7.81514i 1.05379i
\(56\) −7.49453 + 0.561517i −1.00150 + 0.0750358i
\(57\) −2.33441 8.92755i −0.309201 1.18248i
\(58\) −1.07292 6.08484i −0.140881 0.798978i
\(59\) 4.77604 4.00757i 0.621787 0.521742i −0.276577 0.960992i \(-0.589200\pi\)
0.898365 + 0.439250i \(0.144756\pi\)
\(60\) 0.0523485 0.0361855i 0.00675816 0.00467152i
\(61\) 2.54368 + 6.98869i 0.325684 + 0.894811i 0.989190 + 0.146639i \(0.0468456\pi\)
−0.663506 + 0.748171i \(0.730932\pi\)
\(62\) 1.05793 1.83239i 0.134357 0.232713i
\(63\) 7.92166 0.497345i 0.998035 0.0626596i
\(64\) 4.03421 + 6.98746i 0.504277 + 0.873433i
\(65\) −9.02990 + 10.7614i −1.12002 + 1.33479i
\(66\) −8.99262 0.841528i −1.10692 0.103585i
\(67\) 1.82662 + 10.3593i 0.223157 + 1.26559i 0.866177 + 0.499738i \(0.166570\pi\)
−0.643019 + 0.765850i \(0.722319\pi\)
\(68\) 0.0431834 0.0362352i 0.00523675 0.00439416i
\(69\) −0.113034 + 1.20789i −0.0136077 + 0.145413i
\(70\) 7.83942 0.587358i 0.936990 0.0702027i
\(71\) −3.83248 + 2.21268i −0.454832 + 0.262597i −0.709869 0.704334i \(-0.751246\pi\)
0.255037 + 0.966931i \(0.417912\pi\)
\(72\) −4.17142 7.43105i −0.491607 0.875758i
\(73\) 3.06138i 0.358307i 0.983821 + 0.179154i \(0.0573359\pi\)
−0.983821 + 0.179154i \(0.942664\pi\)
\(74\) −9.00855 1.58845i −1.04722 0.184654i
\(75\) 0.779129 0.538566i 0.0899661 0.0621883i
\(76\) 0.0913491 0.0161073i 0.0104785 0.00184763i
\(77\) 7.95554 + 5.71984i 0.906618 + 0.651836i
\(78\) 11.4105 + 11.5492i 1.29198 + 1.30769i
\(79\) −1.65307 + 9.37505i −0.185985 + 1.05478i 0.738697 + 0.674037i \(0.235441\pi\)
−0.924683 + 0.380739i \(0.875670\pi\)
\(80\) −4.18344 7.24593i −0.467723 0.810120i
\(81\) 4.31035 + 7.90069i 0.478927 + 0.877855i
\(82\) −13.6058 7.85533i −1.50251 0.867476i
\(83\) 11.4377 4.16299i 1.25545 0.456947i 0.373212 0.927746i \(-0.378256\pi\)
0.882241 + 0.470799i \(0.156034\pi\)
\(84\) −0.00147789 + 0.0797727i −0.000161251 + 0.00870392i
\(85\) −5.23397 + 4.39182i −0.567704 + 0.476360i
\(86\) −3.58091 + 9.83847i −0.386140 + 1.06091i
\(87\) −7.57543 + 0.616671i −0.812172 + 0.0661140i
\(88\) 1.82677 10.3601i 0.194734 1.10439i
\(89\) −2.17916 3.77442i −0.230991 0.400088i 0.727109 0.686522i \(-0.240863\pi\)
−0.958100 + 0.286434i \(0.907530\pi\)
\(90\) 4.36339 + 7.77303i 0.459942 + 0.819349i
\(91\) −4.34583 17.0683i −0.455567 1.78924i
\(92\) −0.0120097 0.00211763i −0.00125210 0.000220778i
\(93\) −2.12298 1.50572i −0.220143 0.156136i
\(94\) 8.31397 1.46598i 0.857520 0.151204i
\(95\) −11.0718 + 1.95226i −1.13594 + 0.200298i
\(96\) 0.155036 0.0711573i 0.0158233 0.00726246i
\(97\) −6.85869 1.20937i −0.696394 0.122793i −0.185765 0.982594i \(-0.559476\pi\)
−0.510629 + 0.859801i \(0.670587\pi\)
\(98\) −5.13970 + 8.41014i −0.519188 + 0.849552i
\(99\) −2.06134 + 10.9174i −0.207172 + 1.09724i
\(100\) 0.00476045 + 0.00824535i 0.000476045 + 0.000824535i
\(101\) 0.645643 3.66163i 0.0642439 0.364345i −0.935690 0.352824i \(-0.885221\pi\)
0.999934 0.0115214i \(-0.00366744\pi\)
\(102\) 4.48994 + 6.49546i 0.444570 + 0.643147i
\(103\) −2.12266 + 5.83195i −0.209152 + 0.574639i −0.999265 0.0383208i \(-0.987799\pi\)
0.790114 + 0.612960i \(0.210021\pi\)
\(104\) −14.4859 + 12.1551i −1.42046 + 1.19191i
\(105\) 0.179126 9.66873i 0.0174809 0.943571i
\(106\) −1.17084 + 0.426152i −0.113722 + 0.0413915i
\(107\) 2.47461 + 1.42872i 0.239230 + 0.138119i 0.614823 0.788665i \(-0.289228\pi\)
−0.375593 + 0.926785i \(0.622561\pi\)
\(108\) −0.0826725 + 0.0367417i −0.00795517 + 0.00353547i
\(109\) 2.81692 + 4.87905i 0.269812 + 0.467328i 0.968813 0.247792i \(-0.0797051\pi\)
−0.699001 + 0.715121i \(0.746372\pi\)
\(110\) −1.91084 + 10.8369i −0.182191 + 1.03326i
\(111\) −2.97797 + 10.8513i −0.282656 + 1.02996i
\(112\) 10.4379 + 1.04464i 0.986292 + 0.0987093i
\(113\) 9.04367 1.59464i 0.850757 0.150011i 0.268765 0.963206i \(-0.413385\pi\)
0.581992 + 0.813194i \(0.302273\pi\)
\(114\) 1.05420 + 12.9502i 0.0987346 + 1.21290i
\(115\) 1.45561 + 0.256664i 0.135737 + 0.0239340i
\(116\) 0.0764013i 0.00709368i
\(117\) 15.4528 12.6514i 1.42861 1.16962i
\(118\) −7.60258 + 4.38935i −0.699874 + 0.404073i
\(119\) −0.640023 8.54234i −0.0586708 0.783075i
\(120\) −9.43616 + 4.33094i −0.861399 + 0.395359i
\(121\) −2.08004 + 1.74536i −0.189095 + 0.158669i
\(122\) −1.81843 10.3128i −0.164633 0.933680i
\(123\) −11.1803 + 15.7635i −1.00809 + 1.42135i
\(124\) 0.0168173 0.0200421i 0.00151024 0.00179984i
\(125\) −5.85261 10.1370i −0.523474 0.906683i
\(126\) −11.1062 1.24723i −0.989418 0.111112i
\(127\) −0.958294 + 1.65981i −0.0850349 + 0.147285i −0.905406 0.424547i \(-0.860433\pi\)
0.820371 + 0.571831i \(0.193767\pi\)
\(128\) −3.81822 10.4905i −0.337486 0.927235i
\(129\) 11.6393 + 5.51337i 1.02479 + 0.485425i
\(130\) 15.1525 12.7145i 1.32897 1.11513i
\(131\) −1.51205 8.57526i −0.132108 0.749224i −0.976830 0.214018i \(-0.931345\pi\)
0.844721 0.535206i \(-0.179766\pi\)
\(132\) −0.107700 0.0295566i −0.00937407 0.00257257i
\(133\) 6.11604 12.6996i 0.530328 1.10119i
\(134\) 14.8114i 1.27951i
\(135\) 10.0202 4.45322i 0.862401 0.383272i
\(136\) −7.96498 + 4.59858i −0.682991 + 0.394325i
\(137\) −4.48477 + 5.34474i −0.383160 + 0.456632i −0.922809 0.385258i \(-0.874112\pi\)
0.539649 + 0.841890i \(0.318557\pi\)
\(138\) 0.452074 1.64729i 0.0384831 0.140226i
\(139\) −6.76177 8.05836i −0.573526 0.683501i 0.398825 0.917027i \(-0.369418\pi\)
−0.972351 + 0.233526i \(0.924974\pi\)
\(140\) 0.0967249 + 0.00968035i 0.00817475 + 0.000818139i
\(141\) −0.842583 10.3506i −0.0709583 0.871681i
\(142\) 5.85533 2.13117i 0.491368 0.178843i
\(143\) 24.6538 2.06165
\(144\) 3.93285 + 11.2256i 0.327738 + 0.935469i
\(145\) 9.26009i 0.769009i
\(146\) 0.748521 4.24507i 0.0619480 0.351325i
\(147\) 9.71132 + 7.25880i 0.800976 + 0.598696i
\(148\) −0.106290 0.0386864i −0.00873699 0.00318000i
\(149\) −7.15261 8.52415i −0.585965 0.698326i 0.388860 0.921297i \(-0.372869\pi\)
−0.974825 + 0.222971i \(0.928424\pi\)
\(150\) −1.21206 + 0.556304i −0.0989646 + 0.0454221i
\(151\) 18.9758 6.90663i 1.54423 0.562054i 0.577175 0.816621i \(-0.304155\pi\)
0.967055 + 0.254567i \(0.0819330\pi\)
\(152\) −15.1337 −1.22750
\(153\) 8.46999 4.75463i 0.684758 0.384389i
\(154\) −9.63305 9.87659i −0.776253 0.795878i
\(155\) −2.03832 + 2.42917i −0.163722 + 0.195116i
\(156\) 0.114151 + 0.165140i 0.00913942 + 0.0132217i
\(157\) −3.14481 3.74783i −0.250983 0.299110i 0.625812 0.779974i \(-0.284768\pi\)
−0.876795 + 0.480864i \(0.840323\pi\)
\(158\) 4.58448 12.5958i 0.364722 1.00207i
\(159\) 0.387740 + 1.48284i 0.0307498 + 0.117597i
\(160\) −0.0710834 0.195300i −0.00561963 0.0154398i
\(161\) −1.32663 + 1.29391i −0.104553 + 0.101975i
\(162\) −4.04520 12.0094i −0.317821 0.943549i
\(163\) −4.68621 + 8.11676i −0.367053 + 0.635754i −0.989103 0.147223i \(-0.952966\pi\)
0.622051 + 0.782977i \(0.286300\pi\)
\(164\) −0.148817 0.124872i −0.0116206 0.00975086i
\(165\) 13.0536 + 3.58236i 1.01622 + 0.278886i
\(166\) −16.8780 + 2.97605i −1.30999 + 0.230986i
\(167\) 1.49566 + 8.48231i 0.115738 + 0.656381i 0.986382 + 0.164468i \(0.0525908\pi\)
−0.870645 + 0.491912i \(0.836298\pi\)
\(168\) 2.49750 12.7755i 0.192686 0.985648i
\(169\) −23.9896 20.1296i −1.84535 1.54843i
\(170\) 8.33152 4.81021i 0.638999 0.368926i
\(171\) 15.9817 + 0.193119i 1.22215 + 0.0147682i
\(172\) −0.0647314 + 0.112118i −0.00493572 + 0.00854892i
\(173\) 6.49113 + 5.44671i 0.493512 + 0.414106i 0.855283 0.518161i \(-0.173383\pi\)
−0.361771 + 0.932267i \(0.617828\pi\)
\(174\) 10.6553 + 0.997119i 0.807775 + 0.0755914i
\(175\) 1.43961 + 0.144078i 0.108824 + 0.0108912i
\(176\) −5.02208 + 13.7981i −0.378554 + 1.04007i
\(177\) 4.50455 + 9.81441i 0.338583 + 0.737696i
\(178\) 2.09888 + 5.76663i 0.157318 + 0.432227i
\(179\) −4.18791 2.41789i −0.313019 0.180722i 0.335258 0.942126i \(-0.391177\pi\)
−0.648277 + 0.761405i \(0.724510\pi\)
\(180\) 0.0364445 + 0.104024i 0.00271641 + 0.00775352i
\(181\) 3.95269 + 2.28209i 0.293801 + 0.169626i 0.639655 0.768662i \(-0.279077\pi\)
−0.345854 + 0.938288i \(0.612411\pi\)
\(182\) 1.85289 + 24.7304i 0.137345 + 1.83314i
\(183\) −12.8392 + 1.04516i −0.949098 + 0.0772604i
\(184\) 1.86964 + 0.680492i 0.137831 + 0.0501665i
\(185\) 12.8827 + 4.68892i 0.947156 + 0.344737i
\(186\) 2.57568 + 2.60700i 0.188858 + 0.191154i
\(187\) 11.8086 + 2.08217i 0.863528 + 0.152263i
\(188\) 0.104390 0.00761344
\(189\) −2.80047 + 13.4595i −0.203704 + 0.979032i
\(190\) 15.8301 1.14844
\(191\) −10.1847 1.79584i −0.736940 0.129942i −0.207434 0.978249i \(-0.566511\pi\)
−0.529505 + 0.848307i \(0.677622\pi\)
\(192\) −13.5203 + 3.53536i −0.975747 + 0.255142i
\(193\) −9.77771 3.55879i −0.703815 0.256168i −0.0347759 0.999395i \(-0.511072\pi\)
−0.669039 + 0.743228i \(0.733294\pi\)
\(194\) 9.21492 + 3.35396i 0.661593 + 0.240800i
\(195\) −13.8355 20.0155i −0.990783 1.43334i
\(196\) −0.0806464 + 0.0913776i −0.00576046 + 0.00652697i
\(197\) 12.2795 + 7.08959i 0.874880 + 0.505112i 0.868967 0.494870i \(-0.164784\pi\)
0.00591309 + 0.999983i \(0.498118\pi\)
\(198\) 5.52770 14.6346i 0.392837 1.04003i
\(199\) 17.4224 + 10.0588i 1.23504 + 0.713050i 0.968076 0.250657i \(-0.0806466\pi\)
0.266963 + 0.963707i \(0.413980\pi\)
\(200\) −0.531277 1.45967i −0.0375670 0.103214i
\(201\) −18.1403 1.69757i −1.27952 0.119737i
\(202\) −1.79057 + 4.91954i −0.125984 + 0.346138i
\(203\) −9.42645 6.77738i −0.661607 0.475679i
\(204\) 0.0407286 + 0.0887387i 0.00285158 + 0.00621295i
\(205\) 18.0371 + 15.1349i 1.25976 + 1.05707i
\(206\) 4.36933 7.56790i 0.304425 0.527280i
\(207\) −1.96572 0.742482i −0.136627 0.0516061i
\(208\) 22.8582 13.1972i 1.58493 0.915058i
\(209\) 15.1144 + 12.6825i 1.04548 + 0.877264i
\(210\) −2.61243 + 13.3634i −0.180275 + 0.922161i
\(211\) 0.582787 + 3.30515i 0.0401207 + 0.227536i 0.998275 0.0587176i \(-0.0187011\pi\)
−0.958154 + 0.286254i \(0.907590\pi\)
\(212\) −0.0151729 + 0.00267538i −0.00104208 + 0.000183746i
\(213\) −1.93907 7.41563i −0.132863 0.508111i
\(214\) −3.08210 2.58619i −0.210688 0.176788i
\(215\) 7.84567 13.5891i 0.535070 0.926768i
\(216\) 14.3242 3.56120i 0.974636 0.242309i
\(217\) −0.980985 3.85283i −0.0665936 0.261547i
\(218\) −2.71314 7.45430i −0.183757 0.504869i
\(219\) −5.11340 1.40330i −0.345532 0.0948260i
\(220\) −0.0465380 + 0.127862i −0.00313759 + 0.00862047i
\(221\) −13.8545 16.5112i −0.931956 1.11066i
\(222\) 6.78259 14.3188i 0.455217 0.961015i
\(223\) −6.45098 + 7.68798i −0.431990 + 0.514825i −0.937495 0.347998i \(-0.886862\pi\)
0.505506 + 0.862823i \(0.331306\pi\)
\(224\) 0.250834 + 0.0705780i 0.0167595 + 0.00471569i
\(225\) 0.542421 + 1.54825i 0.0361614 + 0.103216i
\(226\) −12.9303 −0.860113
\(227\) −16.6785 + 6.07047i −1.10699 + 0.402911i −0.829889 0.557929i \(-0.811596\pi\)
−0.277102 + 0.960841i \(0.589374\pi\)
\(228\) −0.0149693 + 0.159963i −0.000991367 + 0.0105938i
\(229\) −8.39720 10.0074i −0.554903 0.661307i 0.413557 0.910478i \(-0.364286\pi\)
−0.968459 + 0.249171i \(0.919842\pi\)
\(230\) −1.95568 0.711808i −0.128953 0.0469352i
\(231\) −13.2005 + 10.6662i −0.868531 + 0.701784i
\(232\) −2.16452 + 12.2756i −0.142108 + 0.805934i
\(233\) 18.9719i 1.24289i 0.783457 + 0.621446i \(0.213455\pi\)
−0.783457 + 0.621446i \(0.786545\pi\)
\(234\) −24.5209 + 13.7648i −1.60298 + 0.899835i
\(235\) −12.6525 −0.825355
\(236\) −0.102004 + 0.0371266i −0.00663992 + 0.00241674i
\(237\) −14.9013 7.05853i −0.967946 0.458501i
\(238\) −1.20115 + 12.0017i −0.0778589 + 0.777958i
\(239\) −13.6545 16.2728i −0.883236 1.05260i −0.998244 0.0592349i \(-0.981134\pi\)
0.115008 0.993365i \(-0.463311\pi\)
\(240\) 14.0205 3.66613i 0.905018 0.236648i
\(241\) −7.57437 + 9.02679i −0.487908 + 0.581466i −0.952684 0.303962i \(-0.901690\pi\)
0.464776 + 0.885428i \(0.346135\pi\)
\(242\) 3.31104 1.91163i 0.212842 0.122884i
\(243\) −15.1723 + 3.57797i −0.973302 + 0.229527i
\(244\) 0.129488i 0.00828962i
\(245\) 9.77462 11.0753i 0.624477 0.707573i
\(246\) 19.3574 19.1249i 1.23419 1.21936i
\(247\) −6.15863 34.9274i −0.391865 2.22237i
\(248\) −3.26990 + 2.74377i −0.207639 + 0.174230i
\(249\) 1.71051 + 21.0126i 0.108399 + 1.33162i
\(250\) 5.63700 + 15.4875i 0.356515 + 0.979517i
\(251\) −13.6923 + 23.7157i −0.864248 + 1.49692i 0.00354445 + 0.999994i \(0.498872\pi\)
−0.867792 + 0.496927i \(0.834462\pi\)
\(252\) −0.132566 0.0390353i −0.00835090 0.00245899i
\(253\) −1.29698 2.24643i −0.0815404 0.141232i
\(254\) 1.73465 2.06728i 0.108842 0.129713i
\(255\) −4.93645 10.7554i −0.309132 0.673531i
\(256\) −0.0725551 0.411480i −0.00453469 0.0257175i
\(257\) 12.2349 10.2663i 0.763190 0.640392i −0.175765 0.984432i \(-0.556240\pi\)
0.938955 + 0.344040i \(0.111796\pi\)
\(258\) −14.7917 10.4910i −0.920891 0.653141i
\(259\) −14.2019 + 9.68236i −0.882463 + 0.601633i
\(260\) 0.211819 0.122294i 0.0131365 0.00758434i
\(261\) 2.44246 12.9359i 0.151185 0.800711i
\(262\) 12.2606i 0.757463i
\(263\) 28.4125 + 5.00989i 1.75199 + 0.308923i 0.955338 0.295514i \(-0.0954910\pi\)
0.796653 + 0.604437i \(0.206602\pi\)
\(264\) 16.4671 + 7.80019i 1.01348 + 0.480068i
\(265\) 1.83900 0.324266i 0.112969 0.0199195i
\(266\) −11.5859 + 16.1145i −0.710378 + 0.988043i
\(267\) 7.30329 1.90970i 0.446954 0.116871i
\(268\) 0.0318030 0.180364i 0.00194268 0.0110175i
\(269\) −4.08105 7.06859i −0.248826 0.430979i 0.714374 0.699764i \(-0.246711\pi\)
−0.963200 + 0.268784i \(0.913378\pi\)
\(270\) −14.9834 + 3.72509i −0.911858 + 0.226702i
\(271\) 10.1461 + 5.85783i 0.616329 + 0.355838i 0.775438 0.631423i \(-0.217529\pi\)
−0.159109 + 0.987261i \(0.550862\pi\)
\(272\) 12.0631 4.39061i 0.731432 0.266220i
\(273\) 30.5011 + 0.565073i 1.84601 + 0.0341998i
\(274\) 7.52564 6.31476i 0.454640 0.381488i
\(275\) −0.692649 + 1.90304i −0.0417683 + 0.114757i
\(276\) 0.00904214 0.0190890i 0.000544273 0.00114902i
\(277\) −1.65265 + 9.37262i −0.0992979 + 0.563146i 0.894047 + 0.447972i \(0.147854\pi\)
−0.993345 + 0.115174i \(0.963257\pi\)
\(278\) 7.40592 + 12.8274i 0.444178 + 0.769339i
\(279\) 3.48815 2.85580i 0.208830 0.170972i
\(280\) −15.2668 4.29568i −0.912367 0.256716i
\(281\) 20.5328 + 3.62048i 1.22488 + 0.215980i 0.748426 0.663218i \(-0.230810\pi\)
0.476457 + 0.879198i \(0.341921\pi\)
\(282\) −1.36241 + 14.5588i −0.0811301 + 0.866961i
\(283\) 1.45014 0.255698i 0.0862017 0.0151997i −0.130381 0.991464i \(-0.541620\pi\)
0.216583 + 0.976264i \(0.430509\pi\)
\(284\) 0.0758787 0.0133795i 0.00450258 0.000793925i
\(285\) 1.81433 19.3881i 0.107472 1.14845i
\(286\) −34.1863 6.02796i −2.02148 0.356441i
\(287\) −28.6080 + 7.28400i −1.68868 + 0.429961i
\(288\) 0.0477871 + 0.291573i 0.00281588 + 0.0171811i
\(289\) 3.25849 + 5.64387i 0.191676 + 0.331992i
\(290\) 2.26413 12.8405i 0.132954 0.754022i
\(291\) 5.16394 10.9017i 0.302716 0.639067i
\(292\) 0.0182301 0.0500867i 0.00106683 0.00293110i
\(293\) 4.11874 3.45603i 0.240619 0.201904i −0.514501 0.857490i \(-0.672023\pi\)
0.755120 + 0.655586i \(0.227578\pi\)
\(294\) −11.6914 12.4399i −0.681858 0.725510i
\(295\) 12.3633 4.49987i 0.719818 0.261992i
\(296\) 15.9819 + 9.22716i 0.928930 + 0.536318i
\(297\) −17.2903 8.44742i −1.00328 0.490169i
\(298\) 7.83400 + 13.5689i 0.453811 + 0.786024i
\(299\) −0.809676 + 4.59190i −0.0468248 + 0.265557i
\(300\) −0.0159543 + 0.00417179i −0.000921121 + 0.000240859i
\(301\) 8.09104 + 17.9323i 0.466360 + 1.03360i
\(302\) −28.0016 + 4.93743i −1.61131 + 0.284117i
\(303\) 5.82003 + 2.75686i 0.334352 + 0.158377i
\(304\) 20.8024 + 3.66803i 1.19310 + 0.210376i
\(305\) 15.6944i 0.898658i
\(306\) −12.9075 + 4.52207i −0.737870 + 0.258510i
\(307\) −6.76941 + 3.90832i −0.386351 + 0.223060i −0.680578 0.732676i \(-0.738271\pi\)
0.294227 + 0.955736i \(0.404938\pi\)
\(308\) −0.0960984 0.140955i −0.00547571 0.00803167i
\(309\) −8.76807 6.21875i −0.498798 0.353772i
\(310\) 3.42038 2.87004i 0.194265 0.163007i
\(311\) 2.15372 + 12.2144i 0.122126 + 0.692612i 0.982973 + 0.183749i \(0.0588232\pi\)
−0.860847 + 0.508864i \(0.830066\pi\)
\(312\) −13.6625 29.7675i −0.773485 1.68525i
\(313\) −4.55606 + 5.42970i −0.257524 + 0.306905i −0.879279 0.476307i \(-0.841975\pi\)
0.621756 + 0.783211i \(0.286420\pi\)
\(314\) 3.44439 + 5.96587i 0.194378 + 0.336673i
\(315\) 16.0675 + 4.73121i 0.905302 + 0.266574i
\(316\) 0.0828727 0.143540i 0.00466196 0.00807475i
\(317\) −5.78906 15.9053i −0.325146 0.893332i −0.989321 0.145754i \(-0.953439\pi\)
0.664175 0.747578i \(-0.268783\pi\)
\(318\) −0.175100 2.15099i −0.00981909 0.120622i
\(319\) 12.4491 10.4460i 0.697015 0.584865i
\(320\) 2.95660 + 16.7677i 0.165279 + 0.937345i
\(321\) −3.52071 + 3.47842i −0.196507 + 0.194147i
\(322\) 2.15594 1.46984i 0.120146 0.0819111i
\(323\) 17.2495i 0.959788i
\(324\) −0.0234734 0.154929i −0.00130408 0.00860718i
\(325\) 3.15261 1.82016i 0.174875 0.100964i
\(326\) 8.48274 10.1093i 0.469815 0.559904i
\(327\) −9.44069 + 2.46859i −0.522071 + 0.136513i
\(328\) 20.3730 + 24.2797i 1.12491 + 1.34062i
\(329\) 9.26022 12.8798i 0.510533 0.710084i
\(330\) −17.2249 8.15915i −0.948199 0.449146i
\(331\) −13.5894 + 4.94613i −0.746940 + 0.271864i −0.687318 0.726357i \(-0.741212\pi\)
−0.0596225 + 0.998221i \(0.518990\pi\)
\(332\) −0.211921 −0.0116306
\(333\) −16.7597 9.94816i −0.918427 0.545156i
\(334\) 12.1277i 0.663599i
\(335\) −3.85463 + 21.8607i −0.210601 + 1.19438i
\(336\) −6.52947 + 16.9556i −0.356212 + 0.925002i
\(337\) −14.9144 5.42839i −0.812438 0.295703i −0.0978073 0.995205i \(-0.531183\pi\)
−0.714630 + 0.699502i \(0.753405\pi\)
\(338\) 28.3434 + 33.7784i 1.54168 + 1.83730i
\(339\) −1.48198 + 15.8366i −0.0804902 + 0.860123i
\(340\) 0.111785 0.0406863i 0.00606238 0.00220653i
\(341\) 5.56510 0.301367
\(342\) −22.1138 4.17538i −1.19578 0.225779i
\(343\) 4.12028 + 18.0561i 0.222474 + 0.974939i
\(344\) 13.5770 16.1804i 0.732023 0.872391i
\(345\) −1.09594 + 2.31365i −0.0590034 + 0.124563i
\(346\) −7.66921 9.13981i −0.412299 0.491359i
\(347\) 1.75821 4.83065i 0.0943858 0.259323i −0.883511 0.468410i \(-0.844827\pi\)
0.977897 + 0.209087i \(0.0670492\pi\)
\(348\) 0.127613 + 0.0350214i 0.00684075 + 0.00187734i
\(349\) −3.81124 10.4713i −0.204011 0.560516i 0.794921 0.606713i \(-0.207512\pi\)
−0.998932 + 0.0461967i \(0.985290\pi\)
\(350\) −1.96101 0.551775i −0.104820 0.0294936i
\(351\) 14.0482 + 31.6099i 0.749837 + 1.68721i
\(352\) −0.182371 + 0.315875i −0.00972038 + 0.0168362i
\(353\) 2.35970 + 1.98003i 0.125594 + 0.105386i 0.703421 0.710773i \(-0.251655\pi\)
−0.577827 + 0.816159i \(0.696099\pi\)
\(354\) −3.84658 14.7106i −0.204443 0.781858i
\(355\) −9.19676 + 1.62164i −0.488113 + 0.0860676i
\(356\) 0.0131768 + 0.0747292i 0.000698368 + 0.00396064i
\(357\) 14.5616 + 2.84667i 0.770681 + 0.150662i
\(358\) 5.21599 + 4.37674i 0.275674 + 0.231318i
\(359\) 18.9719 10.9534i 1.00130 0.578099i 0.0926653 0.995697i \(-0.470461\pi\)
0.908632 + 0.417598i \(0.137128\pi\)
\(360\) −2.90853 17.7464i −0.153293 0.935318i
\(361\) 4.69176 8.12637i 0.246935 0.427704i
\(362\) −4.92303 4.13091i −0.258749 0.217116i
\(363\) −1.96180 4.27433i −0.102968 0.224344i
\(364\) −0.0305378 + 0.305130i −0.00160062 + 0.0159932i
\(365\) −2.20955 + 6.07068i −0.115653 + 0.317754i
\(366\) 18.0590 + 1.68996i 0.943959 + 0.0883355i
\(367\) 2.26195 + 6.21467i 0.118073 + 0.324403i 0.984624 0.174685i \(-0.0558907\pi\)
−0.866551 + 0.499088i \(0.833668\pi\)
\(368\) −2.40503 1.38854i −0.125371 0.0723829i
\(369\) −21.2048 25.9002i −1.10388 1.34831i
\(370\) −16.7174 9.65179i −0.869096 0.501773i
\(371\) −1.01586 + 2.10937i −0.0527408 + 0.109513i
\(372\) 0.0257674 + 0.0372769i 0.00133598 + 0.00193272i
\(373\) −23.1460 8.42445i −1.19845 0.436201i −0.335769 0.941944i \(-0.608996\pi\)
−0.862684 + 0.505743i \(0.831218\pi\)
\(374\) −15.8653 5.77449i −0.820375 0.298592i
\(375\) 19.6146 5.12890i 1.01289 0.264855i
\(376\) −16.7727 2.95748i −0.864986 0.152520i
\(377\) −29.2121 −1.50450
\(378\) 7.17418 17.9789i 0.369000 0.924734i
\(379\) 2.06704 0.106176 0.0530882 0.998590i \(-0.483094\pi\)
0.0530882 + 0.998590i \(0.483094\pi\)
\(380\) 0.192769 + 0.0339905i 0.00988887 + 0.00174367i
\(381\) −2.33311 2.36147i −0.119529 0.120982i
\(382\) 13.6836 + 4.98041i 0.700112 + 0.254820i
\(383\) 6.49822 + 2.36516i 0.332044 + 0.120854i 0.502662 0.864483i \(-0.332354\pi\)
−0.170618 + 0.985337i \(0.554576\pi\)
\(384\) 19.2724 1.56885i 0.983490 0.0800600i
\(385\) 11.6475 + 17.0843i 0.593609 + 0.870695i
\(386\) 12.6881 + 7.32550i 0.645810 + 0.372858i
\(387\) −14.5443 + 16.9139i −0.739327 + 0.859781i
\(388\) 0.105012 + 0.0606288i 0.00533118 + 0.00307796i
\(389\) −4.62127 12.6968i −0.234308 0.643755i −1.00000 0.000547677i \(-0.999826\pi\)
0.765692 0.643207i \(-0.222397\pi\)
\(390\) 14.2912 + 31.1374i 0.723663 + 1.57670i
\(391\) −0.775631 + 2.13103i −0.0392254 + 0.107771i
\(392\) 15.5465 12.3971i 0.785217 0.626149i
\(393\) 15.0163 + 1.40522i 0.757473 + 0.0708841i
\(394\) −15.2940 12.8332i −0.770501 0.646527i
\(395\) −10.0445 + 17.3975i −0.505392 + 0.875364i
\(396\) 0.0987364 0.166342i 0.00496169 0.00835900i
\(397\) 18.6484 10.7666i 0.935934 0.540362i 0.0472507 0.998883i \(-0.484954\pi\)
0.888683 + 0.458521i \(0.151621\pi\)
\(398\) −21.6994 18.2079i −1.08769 0.912681i
\(399\) 18.4085 + 16.0369i 0.921577 + 0.802849i
\(400\) 0.376494 + 2.13521i 0.0188247 + 0.106760i
\(401\) 26.0547 4.59414i 1.30111 0.229420i 0.520188 0.854052i \(-0.325862\pi\)
0.780920 + 0.624631i \(0.214751\pi\)
\(402\) 24.7393 + 6.78933i 1.23388 + 0.338621i
\(403\) −7.66311 6.43011i −0.381727 0.320307i
\(404\) −0.0323677 + 0.0560625i −0.00161035 + 0.00278921i
\(405\) 2.84505 + 18.7780i 0.141372 + 0.933084i
\(406\) 11.4141 + 11.7027i 0.566473 + 0.580794i
\(407\) −8.22890 22.6087i −0.407891 1.12067i
\(408\) −4.02994 15.4118i −0.199512 0.762997i
\(409\) −8.57817 + 23.5683i −0.424163 + 1.16538i 0.525140 + 0.851016i \(0.324013\pi\)
−0.949303 + 0.314362i \(0.898209\pi\)
\(410\) −21.3106 25.3970i −1.05246 1.25427i
\(411\) −6.87153 9.94085i −0.338947 0.490346i
\(412\) 0.0694568 0.0827754i 0.00342189 0.00407805i
\(413\) −4.46788 + 15.8788i −0.219850 + 0.781345i
\(414\) 2.54423 + 1.51019i 0.125042 + 0.0742219i
\(415\) 25.6855 1.26085
\(416\) 0.616097 0.224241i 0.0302066 0.0109943i
\(417\) 16.5593 7.60029i 0.810914 0.372188i
\(418\) −17.8575 21.2817i −0.873437 1.04092i
\(419\) −22.3814 8.14616i −1.09340 0.397966i −0.268522 0.963273i \(-0.586535\pi\)
−0.824880 + 0.565307i \(0.808758\pi\)
\(420\) −0.0605065 + 0.157122i −0.00295242 + 0.00766676i
\(421\) −1.34235 + 7.61285i −0.0654222 + 0.371027i 0.934466 + 0.356053i \(0.115878\pi\)
−0.999888 + 0.0149744i \(0.995233\pi\)
\(422\) 4.72559i 0.230038i
\(423\) 17.6748 + 3.33724i 0.859380 + 0.162262i
\(424\) 2.51366 0.122074
\(425\) 1.66375 0.605555i 0.0807037 0.0293737i
\(426\) 0.875664 + 10.7570i 0.0424261 + 0.521179i
\(427\) −15.9763 11.4866i −0.773149 0.555875i
\(428\) −0.0319789 0.0381110i −0.00154576 0.00184216i
\(429\) −11.3010 + 41.1791i −0.545617 + 1.98814i
\(430\) −14.2018 + 16.9251i −0.684872 + 0.816199i
\(431\) −4.73254 + 2.73233i −0.227959 + 0.131612i −0.609630 0.792686i \(-0.708682\pi\)
0.381671 + 0.924298i \(0.375349\pi\)
\(432\) −20.5529 + 1.42333i −0.988850 + 0.0684800i
\(433\) 35.5423i 1.70805i −0.520229 0.854027i \(-0.674154\pi\)
0.520229 0.854027i \(-0.325846\pi\)
\(434\) 0.418253 + 5.58239i 0.0200768 + 0.267963i
\(435\) −15.4671 4.24471i −0.741589 0.203518i
\(436\) −0.0170331 0.0965996i −0.000815738 0.00462628i
\(437\) −2.85856 + 2.39862i −0.136744 + 0.114741i
\(438\) 6.74740 + 3.19614i 0.322403 + 0.152717i
\(439\) −1.38811 3.81379i −0.0662506 0.182022i 0.902150 0.431423i \(-0.141988\pi\)
−0.968400 + 0.249401i \(0.919766\pi\)
\(440\) 11.0999 19.2255i 0.529165 0.916541i
\(441\) −16.5759 + 12.8934i −0.789328 + 0.613972i
\(442\) 15.1744 + 26.2828i 0.721771 + 1.25014i
\(443\) 5.32766 6.34926i 0.253125 0.301662i −0.624486 0.781036i \(-0.714692\pi\)
0.877611 + 0.479373i \(0.159136\pi\)
\(444\) 0.113340 0.159802i 0.00537886 0.00758388i
\(445\) −1.59707 9.05744i −0.0757084 0.429364i
\(446\) 10.8250 9.08327i 0.512579 0.430105i
\(447\) 17.5165 8.03960i 0.828502 0.380260i
\(448\) −19.2329 9.26244i −0.908668 0.437609i
\(449\) 25.1276 14.5074i 1.18585 0.684648i 0.228486 0.973547i \(-0.426623\pi\)
0.957359 + 0.288899i \(0.0932893\pi\)
\(450\) −0.373597 2.27951i −0.0176115 0.107457i
\(451\) 41.3219i 1.94577i
\(452\) −0.157458 0.0277641i −0.00740619 0.00130591i
\(453\) 2.83783 + 34.8611i 0.133333 + 1.63792i
\(454\) 24.6115 4.33968i 1.15508 0.203671i
\(455\) 3.70129 36.9828i 0.173519 1.73378i
\(456\) 6.93708 25.2777i 0.324858 1.18373i
\(457\) −1.13908 + 6.46004i −0.0532839 + 0.302188i −0.999790 0.0204982i \(-0.993475\pi\)
0.946506 + 0.322686i \(0.104586\pi\)
\(458\) 9.19715 + 15.9299i 0.429755 + 0.744357i
\(459\) 4.05909 + 16.3268i 0.189462 + 0.762071i
\(460\) −0.0222866 0.0128672i −0.00103912 0.000599936i
\(461\) 20.7893 7.56669i 0.968255 0.352416i 0.190992 0.981592i \(-0.438830\pi\)
0.777263 + 0.629176i \(0.216607\pi\)
\(462\) 20.9125 11.5627i 0.972936 0.537946i
\(463\) 12.6417 10.6077i 0.587511 0.492980i −0.299893 0.953973i \(-0.596951\pi\)
0.887404 + 0.460993i \(0.152507\pi\)
\(464\) 5.95062 16.3492i 0.276251 0.758992i
\(465\) −3.12309 4.51809i −0.144830 0.209521i
\(466\) 4.63872 26.3075i 0.214884 1.21867i
\(467\) 0.713130 + 1.23518i 0.0329997 + 0.0571572i 0.882054 0.471149i \(-0.156161\pi\)
−0.849054 + 0.528306i \(0.822827\pi\)
\(468\) −0.328157 + 0.114968i −0.0151691 + 0.00531441i
\(469\) −19.4322 19.9235i −0.897298 0.919983i
\(470\) 17.5446 + 3.09358i 0.809271 + 0.142696i
\(471\) 7.70152 3.53479i 0.354867 0.162875i
\(472\) 17.4412 3.07535i 0.802796 0.141555i
\(473\) −27.1194 + 4.78188i −1.24695 + 0.219871i
\(474\) 18.9372 + 13.4312i 0.869812 + 0.616914i
\(475\) 2.86909 + 0.505897i 0.131643 + 0.0232122i
\(476\) −0.0403971 + 0.143571i −0.00185160 + 0.00658056i
\(477\) −2.65452 0.0320766i −0.121542 0.00146868i
\(478\) 14.9553 + 25.9033i 0.684038 + 1.18479i
\(479\) 4.17371 23.6703i 0.190702 1.08152i −0.727706 0.685889i \(-0.759414\pi\)
0.918408 0.395635i \(-0.129475\pi\)
\(480\) 0.358792 0.0292071i 0.0163765 0.00133312i
\(481\) −14.7918 + 40.6400i −0.674446 + 1.85303i
\(482\) 12.7101 10.6651i 0.578930 0.485780i
\(483\) −1.55311 2.80897i −0.0706688 0.127812i
\(484\) 0.0444246 0.0161692i 0.00201930 0.000734965i
\(485\) −12.7278 7.34842i −0.577941 0.333674i
\(486\) 21.9135 1.25171i 0.994017 0.0567788i
\(487\) 17.7620 + 30.7647i 0.804874 + 1.39408i 0.916376 + 0.400319i \(0.131101\pi\)
−0.111501 + 0.993764i \(0.535566\pi\)
\(488\) −3.66852 + 20.8052i −0.166066 + 0.941808i
\(489\) −11.4093 11.5480i −0.515945 0.522217i
\(490\) −16.2620 + 12.9676i −0.734640 + 0.585818i
\(491\) −30.5498 + 5.38675i −1.37869 + 0.243101i −0.813360 0.581761i \(-0.802364\pi\)
−0.565334 + 0.824862i \(0.691253\pi\)
\(492\) 0.276788 0.191328i 0.0124786 0.00862572i
\(493\) −13.9919 2.46714i −0.630162 0.111115i
\(494\) 49.9379i 2.24681i
\(495\) −11.9672 + 20.1612i −0.537885 + 0.906179i
\(496\) 5.15977 2.97899i 0.231681 0.133761i
\(497\) 5.08026 10.5488i 0.227881 0.473180i
\(498\) 2.76579 29.5554i 0.123938 1.32441i
\(499\) 27.8976 23.4088i 1.24887 1.04792i 0.252089 0.967704i \(-0.418883\pi\)
0.996777 0.0802188i \(-0.0255619\pi\)
\(500\) 0.0353891 + 0.200701i 0.00158265 + 0.00897564i
\(501\) −14.8535 1.38999i −0.663607 0.0621002i
\(502\) 24.7850 29.5376i 1.10621 1.31833i
\(503\) 9.30116 + 16.1101i 0.414718 + 0.718313i 0.995399 0.0958185i \(-0.0305468\pi\)
−0.580681 + 0.814131i \(0.697213\pi\)
\(504\) 20.1939 + 10.0277i 0.899509 + 0.446667i
\(505\) 3.92308 6.79497i 0.174575 0.302372i
\(506\) 1.24920 + 3.43214i 0.0555336 + 0.152577i
\(507\) 44.6189 30.8424i 1.98159 1.36976i
\(508\) 0.0255624 0.0214494i 0.00113415 0.000951665i
\(509\) 0.776316 + 4.40271i 0.0344096 + 0.195147i 0.997167 0.0752205i \(-0.0239661\pi\)
−0.962757 + 0.270367i \(0.912855\pi\)
\(510\) 4.21540 + 16.1210i 0.186661 + 0.713851i
\(511\) −4.56259 6.69232i −0.201837 0.296051i
\(512\) 22.9158i 1.01274i
\(513\) −7.64837 + 26.6056i −0.337684 + 1.17467i
\(514\) −19.4757 + 11.2443i −0.859034 + 0.495964i
\(515\) −8.41841 + 10.0327i −0.370959 + 0.442092i
\(516\) −0.157598 0.159514i −0.00693787 0.00702221i
\(517\) 14.2729 + 17.0097i 0.627719 + 0.748087i
\(518\) 22.0605 9.95365i 0.969283 0.437338i
\(519\) −12.0731 + 8.34540i −0.529948 + 0.366322i
\(520\) −37.4983 + 13.6483i −1.64441 + 0.598516i
\(521\) −34.6679 −1.51883 −0.759415 0.650607i \(-0.774515\pi\)
−0.759415 + 0.650607i \(0.774515\pi\)
\(522\) −6.54972 + 17.3404i −0.286674 + 0.758968i
\(523\) 25.7209i 1.12470i −0.826901 0.562348i \(-0.809898\pi\)
0.826901 0.562348i \(-0.190102\pi\)
\(524\) −0.0263260 + 0.149302i −0.00115006 + 0.00652231i
\(525\) −0.900549 + 2.33852i −0.0393032 + 0.102061i
\(526\) −38.1734 13.8940i −1.66444 0.605806i
\(527\) −3.12738 3.72707i −0.136231 0.162354i
\(528\) −20.7448 14.7132i −0.902799 0.640310i
\(529\) −21.1519 + 7.69867i −0.919649 + 0.334725i
\(530\) −2.62934 −0.114211
\(531\) −18.4578 + 3.02512i −0.800999 + 0.131279i
\(532\) −0.175687 + 0.171355i −0.00761702 + 0.00742919i
\(533\) −47.7448 + 56.9001i −2.06806 + 2.46462i
\(534\) −10.5941 + 0.862399i −0.458450 + 0.0373196i
\(535\) 3.87595 + 4.61918i 0.167572 + 0.199704i
\(536\) −10.2198 + 28.0786i −0.441426 + 1.21281i
\(537\) 5.95827 5.88671i 0.257118 0.254030i
\(538\) 3.93070 + 10.7995i 0.169465 + 0.465600i
\(539\) −25.9158 0.647128i −1.11627 0.0278738i
\(540\) −0.190457 + 0.0131895i −0.00819596 + 0.000567587i
\(541\) 13.1658 22.8039i 0.566044 0.980416i −0.430908 0.902396i \(-0.641807\pi\)
0.996952 0.0780204i \(-0.0248599\pi\)
\(542\) −12.6368 10.6035i −0.542797 0.455461i
\(543\) −5.62361 + 5.55607i −0.241332 + 0.238434i
\(544\) 0.314034 0.0553727i 0.0134641 0.00237408i
\(545\) 2.06447 + 11.7082i 0.0884323 + 0.501524i
\(546\) −42.1563 8.24122i −1.80412 0.352692i
\(547\) 13.7395 + 11.5288i 0.587459 + 0.492937i 0.887387 0.461025i \(-0.152518\pi\)
−0.299928 + 0.953962i \(0.596963\pi\)
\(548\) 0.105202 0.0607383i 0.00449400 0.00259461i
\(549\) 4.13959 21.9243i 0.176673 0.935704i
\(550\) 1.42576 2.46950i 0.0607948 0.105300i
\(551\) −17.9089 15.0273i −0.762944 0.640186i
\(552\) −1.99364 + 2.81091i −0.0848549 + 0.119640i
\(553\) −10.3586 22.9580i −0.440492 0.976273i
\(554\) 4.58329 12.5925i 0.194725 0.535004i
\(555\) −13.7372 + 19.3686i −0.583110 + 0.822150i
\(556\) 0.0626418 + 0.172107i 0.00265660 + 0.00729896i
\(557\) 0.993267 + 0.573463i 0.0420861 + 0.0242984i 0.520895 0.853621i \(-0.325598\pi\)
−0.478809 + 0.877919i \(0.658931\pi\)
\(558\) −5.53511 + 3.10713i −0.234320 + 0.131535i
\(559\) 42.8684 + 24.7501i 1.81314 + 1.04682i
\(560\) 19.9443 + 9.60507i 0.842801 + 0.405888i
\(561\) −8.89073 + 18.7693i −0.375367 + 0.792442i
\(562\) −27.5866 10.0407i −1.16367 0.423542i
\(563\) −8.48848 3.08955i −0.357747 0.130209i 0.156893 0.987616i \(-0.449852\pi\)
−0.514640 + 0.857406i \(0.672074\pi\)
\(564\) −0.0478512 + 0.174362i −0.00201490 + 0.00734198i
\(565\) 19.0844 + 3.36510i 0.802888 + 0.141571i
\(566\) −2.07336 −0.0871497
\(567\) −21.1976 10.8473i −0.890214 0.455542i
\(568\) −12.5707 −0.527455
\(569\) −42.2332 7.44685i −1.77051 0.312188i −0.809172 0.587572i \(-0.800084\pi\)
−0.961334 + 0.275384i \(0.911195\pi\)
\(570\) −7.25632 + 26.4409i −0.303934 + 1.10749i
\(571\) 31.1144 + 11.3247i 1.30210 + 0.473925i 0.897680 0.440648i \(-0.145251\pi\)
0.404419 + 0.914574i \(0.367474\pi\)
\(572\) −0.403356 0.146810i −0.0168652 0.00613842i
\(573\) 7.66812 16.1883i 0.320340 0.676275i
\(574\) 41.4503 3.10561i 1.73010 0.129625i
\(575\) −0.331703 0.191509i −0.0138330 0.00798648i
\(576\) 0.292469 24.2035i 0.0121862 1.00848i
\(577\) 36.2292 + 20.9170i 1.50824 + 0.870784i 0.999954 + 0.00959765i \(0.00305507\pi\)
0.508289 + 0.861187i \(0.330278\pi\)
\(578\) −3.13844 8.62281i −0.130542 0.358661i
\(579\) 10.4262 14.7003i 0.433298 0.610925i
\(580\) 0.0551425 0.151503i 0.00228967 0.00629081i
\(581\) −18.7990 + 26.1469i −0.779913 + 1.08476i
\(582\) −9.82610 + 13.8542i −0.407305 + 0.574276i
\(583\) −2.51046 2.10653i −0.103973 0.0872434i
\(584\) −4.34808 + 7.53110i −0.179925 + 0.311639i
\(585\) 39.7737 13.9346i 1.64444 0.576123i
\(586\) −6.55628 + 3.78527i −0.270838 + 0.156368i
\(587\) −10.1800 8.54200i −0.420172 0.352566i 0.408057 0.912957i \(-0.366207\pi\)
−0.828228 + 0.560391i \(0.810651\pi\)
\(588\) −0.115660 0.176590i −0.00476974 0.00728243i
\(589\) −1.39019 7.88415i −0.0572817 0.324861i
\(590\) −18.2438 + 3.21688i −0.751087 + 0.132437i
\(591\) −17.4705 + 17.2606i −0.718639 + 0.710008i
\(592\) −19.7320 16.5571i −0.810980 0.680493i
\(593\) −6.07625 + 10.5244i −0.249522 + 0.432184i −0.963393 0.268093i \(-0.913607\pi\)
0.713872 + 0.700277i \(0.246940\pi\)
\(594\) 21.9102 + 15.9412i 0.898987 + 0.654075i
\(595\) 4.89626 17.4013i 0.200727 0.713383i
\(596\) 0.0662626 + 0.182055i 0.00271422 + 0.00745726i
\(597\) −24.7874 + 24.4896i −1.01448 + 1.00229i
\(598\) 2.24548 6.16941i 0.0918245 0.252286i
\(599\) 19.6946 + 23.4711i 0.804700 + 0.959004i 0.999763 0.0217865i \(-0.00693540\pi\)
−0.195062 + 0.980791i \(0.562491\pi\)
\(600\) 2.68161 0.218294i 0.109476 0.00891181i
\(601\) −0.739101 + 0.880827i −0.0301486 + 0.0359297i −0.780908 0.624646i \(-0.785243\pi\)
0.750759 + 0.660576i \(0.229688\pi\)
\(602\) −6.83493 26.8442i −0.278571 1.09409i
\(603\) 11.1507 29.5216i 0.454093 1.20221i
\(604\) −0.351588 −0.0143059
\(605\) −5.38441 + 1.95976i −0.218907 + 0.0796758i
\(606\) −7.39631 5.24583i −0.300454 0.213097i
\(607\) 1.93858 + 2.31031i 0.0786845 + 0.0937725i 0.803950 0.594696i \(-0.202728\pi\)
−0.725266 + 0.688469i \(0.758283\pi\)
\(608\) 0.493061 + 0.179460i 0.0199963 + 0.00727805i
\(609\) 15.6412 12.6383i 0.633813 0.512129i
\(610\) 3.83735 21.7627i 0.155370 0.881145i
\(611\) 39.9137i 1.61473i
\(612\) −0.166889 + 0.0273521i −0.00674609 + 0.00110564i
\(613\) −40.0911 −1.61927 −0.809633 0.586937i \(-0.800334\pi\)
−0.809633 + 0.586937i \(0.800334\pi\)
\(614\) 10.3424 3.76433i 0.417386 0.151916i
\(615\) −33.5477 + 23.1896i −1.35277 + 0.935093i
\(616\) 11.4470 + 25.3703i 0.461213 + 1.02220i
\(617\) 6.57249 + 7.83278i 0.264598 + 0.315336i 0.881942 0.471357i \(-0.156236\pi\)
−0.617344 + 0.786693i \(0.711791\pi\)
\(618\) 10.6378 + 10.7671i 0.427914 + 0.433116i
\(619\) 25.0122 29.8084i 1.00533 1.19810i 0.0252085 0.999682i \(-0.491975\pi\)
0.980117 0.198419i \(-0.0635805\pi\)
\(620\) 0.0478139 0.0276054i 0.00192025 0.00110866i
\(621\) 2.14122 2.94298i 0.0859243 0.118098i
\(622\) 17.4637i 0.700229i
\(623\) 10.3890 + 5.00330i 0.416228 + 0.200453i
\(624\) 11.5652 + 44.2292i 0.462980 + 1.77059i
\(625\) −3.81449 21.6331i −0.152580 0.865322i
\(626\) 7.64526 6.41513i 0.305566 0.256400i
\(627\) −28.1117 + 19.4319i −1.12267 + 0.776037i
\(628\) 0.0291338 + 0.0800445i 0.00116257 + 0.00319412i
\(629\) −10.5172 + 18.2163i −0.419349 + 0.726333i
\(630\) −21.1233 10.4891i −0.841571 0.417897i
\(631\) 5.94429 + 10.2958i 0.236639 + 0.409870i 0.959748 0.280864i \(-0.0906210\pi\)
−0.723109 + 0.690734i \(0.757288\pi\)
\(632\) −17.3820 + 20.7151i −0.691420 + 0.824002i
\(633\) −5.78771 0.541613i −0.230041 0.0215272i
\(634\) 4.13850 + 23.4706i 0.164361 + 0.932137i
\(635\) −3.09825 + 2.59974i −0.122950 + 0.103168i
\(636\) 0.00248637 0.0265695i 9.85909e−5 0.00105355i
\(637\) 34.9383 + 30.8352i 1.38430 + 1.22173i
\(638\) −19.8167 + 11.4412i −0.784550 + 0.452960i
\(639\) 13.2751 + 0.160413i 0.525156 + 0.00634585i
\(640\) 23.5583i 0.931222i
\(641\) 49.2008 + 8.67542i 1.94331 + 0.342659i 0.999940 + 0.0109243i \(0.00347739\pi\)
0.943373 + 0.331734i \(0.107634\pi\)
\(642\) 5.73249 3.96254i 0.226243 0.156389i
\(643\) 7.32572 1.29172i 0.288898 0.0509406i −0.0273209 0.999627i \(-0.508698\pi\)
0.316219 + 0.948686i \(0.397586\pi\)
\(644\) 0.0294098 0.0132696i 0.00115891 0.000522896i
\(645\) 19.1014 + 19.3336i 0.752118 + 0.761261i
\(646\) −4.21758 + 23.9191i −0.165938 + 0.941083i
\(647\) 9.06934 + 15.7086i 0.356553 + 0.617567i 0.987382 0.158354i \(-0.0506187\pi\)
−0.630830 + 0.775921i \(0.717285\pi\)
\(648\) −0.617762 + 25.5580i −0.0242680 + 1.00401i
\(649\) −19.9962 11.5448i −0.784919 0.453173i
\(650\) −4.81662 + 1.75310i −0.188923 + 0.0687624i
\(651\) 6.88502 + 0.127554i 0.269845 + 0.00499923i
\(652\) 0.125004 0.104891i 0.00489555 0.00410786i
\(653\) −7.59970 + 20.8800i −0.297399 + 0.817097i 0.697533 + 0.716552i \(0.254281\pi\)
−0.994933 + 0.100545i \(0.967941\pi\)
\(654\) 13.6945 1.11479i 0.535499 0.0435917i
\(655\) 3.19081 18.0960i 0.124675 0.707068i
\(656\) −22.1196 38.3123i −0.863625 1.49584i
\(657\) 4.68784 7.89763i 0.182890 0.308116i
\(658\) −15.9899 + 15.5956i −0.623350 + 0.607979i
\(659\) 21.2896 + 3.75393i 0.829324 + 0.146232i 0.572167 0.820137i \(-0.306103\pi\)
0.257157 + 0.966370i \(0.417214\pi\)
\(660\) −0.192235 0.136343i −0.00748274 0.00530713i
\(661\) 4.72263 0.832727i 0.183689 0.0323893i −0.0810468 0.996710i \(-0.525826\pi\)
0.264736 + 0.964321i \(0.414715\pi\)
\(662\) 20.0531 3.53590i 0.779386 0.137427i
\(663\) 33.9293 15.5726i 1.31770 0.604790i
\(664\) 34.0499 + 6.00391i 1.32139 + 0.232997i
\(665\) 21.2939 20.7688i 0.825743 0.805381i
\(666\) 20.8076 + 17.8925i 0.806277 + 0.693319i
\(667\) 1.53678 + 2.66178i 0.0595043 + 0.103065i
\(668\) 0.0260407 0.147684i 0.00100754 0.00571407i
\(669\) −9.88414 14.2991i −0.382143 0.552835i
\(670\) 10.6901 29.3707i 0.412993 1.13469i
\(671\) 21.0992 17.7044i 0.814527 0.683469i
\(672\) −0.232865 + 0.386614i −0.00898296 + 0.0149140i
\(673\) −41.8330 + 15.2260i −1.61255 + 0.586918i −0.981941 0.189186i \(-0.939415\pi\)
−0.630604 + 0.776105i \(0.717193\pi\)
\(674\) 19.3538 + 11.1739i 0.745480 + 0.430403i
\(675\) −2.83467 + 0.196307i −0.109106 + 0.00755584i
\(676\) 0.272620 + 0.472192i 0.0104854 + 0.0181612i
\(677\) −6.96679 + 39.5107i −0.267756 + 1.51852i 0.493316 + 0.869850i \(0.335785\pi\)
−0.761072 + 0.648668i \(0.775327\pi\)
\(678\) 5.92710 21.5975i 0.227629 0.829445i
\(679\) 16.7958 7.57824i 0.644564 0.290826i
\(680\) −19.1135 + 3.37022i −0.732968 + 0.129242i
\(681\) −2.49427 30.6406i −0.0955805 1.17415i
\(682\) −7.71686 1.36069i −0.295494 0.0521035i
\(683\) 33.0102i 1.26310i −0.775335 0.631550i \(-0.782419\pi\)
0.775335 0.631550i \(-0.217581\pi\)
\(684\) −0.260324 0.0983282i −0.00995373 0.00375967i
\(685\) −12.7508 + 7.36168i −0.487183 + 0.281275i
\(686\) −1.29860 26.0450i −0.0495808 0.994402i
\(687\) 20.5645 9.43853i 0.784583 0.360102i
\(688\) −22.5844 + 18.9506i −0.861023 + 0.722484i
\(689\) 1.02293 + 5.80135i 0.0389707 + 0.221014i
\(690\) 2.08538 2.94027i 0.0793892 0.111934i
\(691\) −1.88171 + 2.24253i −0.0715836 + 0.0853100i −0.800648 0.599135i \(-0.795511\pi\)
0.729064 + 0.684445i \(0.239956\pi\)
\(692\) −0.0737660 0.127766i −0.00280416 0.00485695i
\(693\) −11.7647 26.9380i −0.446904 1.02329i
\(694\) −3.61915 + 6.26854i −0.137381 + 0.237951i
\(695\) −7.59239 20.8599i −0.287996 0.791262i
\(696\) −19.5117 9.24237i −0.739589 0.350331i
\(697\) −27.6742 + 23.2214i −1.04823 + 0.879574i
\(698\) 2.72459 + 15.4519i 0.103127 + 0.584864i
\(699\) −31.6887 8.69649i −1.19858 0.328931i
\(700\) −0.0226952 0.0109299i −0.000857797 0.000413110i
\(701\) 6.39386i 0.241493i −0.992683 0.120746i \(-0.961471\pi\)
0.992683 0.120746i \(-0.0385288\pi\)
\(702\) −11.7512 47.2668i −0.443521 1.78397i
\(703\) −29.9744 + 17.3058i −1.13051 + 0.652699i
\(704\) 19.2070 22.8900i 0.723890 0.862699i
\(705\) 5.79972 21.1333i 0.218430 0.795927i
\(706\) −2.78796 3.32257i −0.104926 0.125046i
\(707\) 4.04577 + 8.96673i 0.152157 + 0.337229i
\(708\) −0.0152548 0.187396i −0.000573309 0.00704276i
\(709\) 33.6905 12.2623i 1.26527 0.460521i 0.379737 0.925094i \(-0.376014\pi\)
0.885535 + 0.464573i \(0.153792\pi\)
\(710\) 13.1492 0.493481
\(711\) 18.6204 21.6541i 0.698319 0.812092i
\(712\) 12.3803i 0.463970i
\(713\) −0.182768 + 1.03653i −0.00684472 + 0.0388184i
\(714\) −19.4958 7.50772i −0.729614 0.280969i
\(715\) 48.8882 + 17.7938i 1.82831 + 0.665452i
\(716\) 0.0541195 + 0.0644971i 0.00202254 + 0.00241037i
\(717\) 33.4394 15.3478i 1.24882 0.573173i
\(718\) −28.9856 + 10.5499i −1.08173 + 0.393718i
\(719\) −35.6795 −1.33062 −0.665311 0.746566i \(-0.731701\pi\)
−0.665311 + 0.746566i \(0.731701\pi\)
\(720\) −0.303288 + 25.0988i −0.0113029 + 0.935378i
\(721\) −4.05154 15.9125i −0.150887 0.592611i
\(722\) −8.49278 + 10.1213i −0.316069 + 0.376676i
\(723\) −11.6054 16.7892i −0.431609 0.624397i
\(724\) −0.0510798 0.0608745i −0.00189836 0.00226238i
\(725\) 0.820714 2.25489i 0.0304805 0.0837446i
\(726\) 1.67525 + 6.40668i 0.0621742 + 0.237774i
\(727\) 0.773622 + 2.12551i 0.0286921 + 0.0788308i 0.953212 0.302304i \(-0.0977557\pi\)
−0.924520 + 0.381135i \(0.875533\pi\)
\(728\) 13.5512 48.1610i 0.502242 1.78497i
\(729\) 0.978522 26.9823i 0.0362415 0.999343i
\(730\) 4.54818 7.87768i 0.168336 0.291566i
\(731\) 18.4426 + 15.4752i 0.682125 + 0.572371i
\(732\) 0.216283 + 0.0593557i 0.00799405 + 0.00219385i
\(733\) 15.8797 2.80002i 0.586530 0.103421i 0.127495 0.991839i \(-0.459306\pi\)
0.459035 + 0.888418i \(0.348195\pi\)
\(734\) −1.61703 9.17065i −0.0596858 0.338495i
\(735\) 14.0184 + 21.4032i 0.517077 + 0.789471i
\(736\) −0.0528441 0.0443414i −0.00194786 0.00163445i
\(737\) 33.7374 19.4783i 1.24273 0.717492i
\(738\) 23.0711 + 41.0992i 0.849258 + 1.51288i
\(739\) −12.2994 + 21.3033i −0.452442 + 0.783653i −0.998537 0.0540705i \(-0.982780\pi\)
0.546095 + 0.837723i \(0.316114\pi\)
\(740\) −0.182850 0.153429i −0.00672170 0.00564018i
\(741\) 61.1620 + 5.72352i 2.24684 + 0.210259i
\(742\) 1.92439 2.67658i 0.0706467 0.0982602i
\(743\) 8.41237 23.1128i 0.308620 0.847926i −0.684307 0.729194i \(-0.739895\pi\)
0.992926 0.118732i \(-0.0378828\pi\)
\(744\) −3.08403 6.71941i −0.113066 0.246346i
\(745\) −8.03125 22.0657i −0.294242 0.808424i
\(746\) 30.0356 + 17.3411i 1.09968 + 0.634902i
\(747\) −35.8813 6.77486i −1.31283 0.247879i
\(748\) −0.180799 0.104384i −0.00661066 0.00381667i
\(749\) −7.53893 + 0.564844i −0.275467 + 0.0206389i
\(750\) −28.4526 + 2.31616i −1.03894 + 0.0845741i
\(751\) 34.3971 + 12.5195i 1.25517 + 0.456843i 0.882144 0.470979i \(-0.156099\pi\)
0.373022 + 0.927822i \(0.378322\pi\)
\(752\) 22.3386 + 8.13059i 0.814605 + 0.296492i
\(753\) −33.3358 33.7411i −1.21482 1.22959i
\(754\) 40.5070 + 7.14247i 1.47518 + 0.260114i
\(755\) 42.6137 1.55087
\(756\) 0.125967 0.203532i 0.00458138 0.00740237i
\(757\) −38.6682 −1.40542 −0.702709 0.711477i \(-0.748027\pi\)
−0.702709 + 0.711477i \(0.748027\pi\)
\(758\) −2.86626 0.505399i −0.104107 0.0183569i
\(759\) 4.34672 1.13660i 0.157776 0.0412559i
\(760\) −30.0099 10.9227i −1.08857 0.396208i
\(761\) 45.3555 + 16.5080i 1.64413 + 0.598416i 0.987755 0.156015i \(-0.0498647\pi\)
0.656380 + 0.754431i \(0.272087\pi\)
\(762\) 2.65782 + 3.84499i 0.0962827 + 0.139289i
\(763\) −13.4295 6.46757i −0.486181 0.234142i
\(764\) 0.155936 + 0.0900299i 0.00564158 + 0.00325717i
\(765\) 20.2275 3.31517i 0.731328 0.119860i
\(766\) −8.43249 4.86850i −0.304678 0.175906i
\(767\) 14.1954 + 39.0014i 0.512565 + 1.40826i
\(768\) 0.720551 + 0.0674290i 0.0260007 + 0.00243314i
\(769\) 16.2750 44.7151i 0.586891 1.61247i −0.189264 0.981926i \(-0.560610\pi\)
0.776155 0.630543i \(-0.217168\pi\)
\(770\) −11.9738 26.5378i −0.431506 0.956356i
\(771\) 11.5394 + 25.1417i 0.415580 + 0.905457i
\(772\) 0.138779 + 0.116450i 0.00499477 + 0.00419111i