Properties

Label 354.3.h.a.5.13
Level 354
Weight 3
Character 354.5
Analytic conductor 9.646
Analytic rank 0
Dimension 1120
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) = \( 354 = 2 \cdot 3 \cdot 59 \)
Weight: \( k \) = \( 3 \)
Character orbit: \([\chi]\) = 354.h (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(9.64580135835\)
Analytic rank: \(0\)
Dimension: \(1120\)
Relative dimension: \(40\) over \(\Q(\zeta_{58})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 5.13
Character \(\chi\) = 354.5
Dual form 354.3.h.a.71.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.451561 + 1.34018i) q^{2} +(1.39003 - 2.65854i) q^{3} +(-1.59219 - 1.21035i) q^{4} +(-7.10734 - 2.83182i) q^{5} +(2.93524 + 3.06339i) q^{6} +(7.21460 - 3.33783i) q^{7} +(2.34106 - 1.58728i) q^{8} +(-5.13563 - 7.39089i) q^{9} +O(q^{10})\) \(q+(-0.451561 + 1.34018i) q^{2} +(1.39003 - 2.65854i) q^{3} +(-1.59219 - 1.21035i) q^{4} +(-7.10734 - 2.83182i) q^{5} +(2.93524 + 3.06339i) q^{6} +(7.21460 - 3.33783i) q^{7} +(2.34106 - 1.58728i) q^{8} +(-5.13563 - 7.39089i) q^{9} +(7.00456 - 8.24641i) q^{10} +(-1.77764 - 0.493560i) q^{11} +(-5.43094 + 2.55046i) q^{12} +(-6.81946 + 12.8629i) q^{13} +(1.21548 + 11.1761i) q^{14} +(-17.4079 + 14.9588i) q^{15} +(1.07011 + 3.85420i) q^{16} +(-2.71642 + 5.87144i) q^{17} +(12.2242 - 3.54525i) q^{18} +(-2.31673 + 0.509952i) q^{19} +(7.88872 + 13.1112i) q^{20} +(1.15478 - 23.8199i) q^{21} +(1.46417 - 2.15950i) q^{22} +(-44.2237 - 7.25011i) q^{23} +(-0.965689 - 8.43015i) q^{24} +(24.3452 + 23.0610i) q^{25} +(-14.1592 - 14.9477i) q^{26} +(-26.7876 + 3.37968i) q^{27} +(-15.5269 - 3.41773i) q^{28} +(-2.33111 - 6.91850i) q^{29} +(-12.1868 - 30.0846i) q^{30} +(-17.8623 - 3.93179i) q^{31} +(-5.64856 - 0.306256i) q^{32} +(-3.78312 + 4.03986i) q^{33} +(-6.64219 - 6.29181i) q^{34} +(-60.7287 + 3.29262i) q^{35} +(-0.768682 + 17.9836i) q^{36} +(18.1366 - 26.7495i) q^{37} +(0.362717 - 3.33512i) q^{38} +(24.7171 + 36.0096i) q^{39} +(-21.1336 + 4.65186i) q^{40} +(-12.4095 + 2.03443i) q^{41} +(31.4017 + 12.3038i) q^{42} +(16.3494 + 58.8854i) q^{43} +(2.23296 + 2.93741i) q^{44} +(15.5710 + 67.0728i) q^{45} +(29.6862 - 55.9941i) q^{46} +(-62.8292 + 25.0335i) q^{47} +(11.7340 + 2.51252i) q^{48} +(9.18737 - 10.8162i) q^{49} +(-41.8993 + 22.2136i) q^{50} +(11.8335 + 15.3832i) q^{51} +(26.4264 - 12.2262i) q^{52} +(58.0539 - 49.3114i) q^{53} +(7.56685 - 37.4265i) q^{54} +(11.2366 + 8.54187i) q^{55} +(11.5917 - 19.2656i) q^{56} +(-1.86461 + 6.86797i) q^{57} +10.3247 q^{58} +(25.2379 - 53.3296i) q^{59} +(45.8220 - 2.74754i) q^{60} +(-27.0565 - 9.11641i) q^{61} +(13.3352 - 22.1634i) q^{62} +(-61.7210 - 36.1805i) q^{63} +(2.96111 - 7.43181i) q^{64} +(84.8936 - 72.1093i) q^{65} +(-3.70585 - 6.89432i) q^{66} +(-62.9216 - 92.8025i) q^{67} +(11.4315 - 6.06062i) q^{68} +(-80.7471 + 107.493i) q^{69} +(23.0100 - 82.8745i) q^{70} +(-51.3182 + 20.4471i) q^{71} +(-23.7542 - 9.15085i) q^{72} +(-23.0011 + 2.50152i) q^{73} +(27.6595 + 36.3855i) q^{74} +(95.1491 - 32.6671i) q^{75} +(4.30589 + 1.99212i) q^{76} +(-14.4724 + 2.37263i) q^{77} +(-59.4207 + 16.8650i) q^{78} +(71.5294 - 43.0378i) q^{79} +(3.30875 - 30.4235i) q^{80} +(-28.2506 + 75.9138i) q^{81} +(2.87711 - 17.5496i) q^{82} +(96.2605 - 5.21909i) q^{83} +(-30.6691 + 36.5281i) q^{84} +(35.9334 - 34.0379i) q^{85} +(-86.3000 - 4.67905i) q^{86} +(-21.6334 - 3.41958i) q^{87} +(-4.94498 + 1.66616i) q^{88} +(20.4933 + 60.8219i) q^{89} +(-96.9212 - 9.41949i) q^{90} +(-6.26562 + 115.563i) q^{91} +(61.6373 + 65.0697i) q^{92} +(-35.2820 + 42.0223i) q^{93} +(-5.17823 - 95.5069i) q^{94} +(17.9099 + 2.93618i) q^{95} +(-8.66586 + 14.5912i) q^{96} +(-84.3007 - 9.16825i) q^{97} +(10.3471 + 17.1969i) q^{98} +(5.48146 + 15.6731i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1120q + 80q^{4} - 8q^{6} - 8q^{7} + 24q^{9} + O(q^{10}) \) \( 1120q + 80q^{4} - 8q^{6} - 8q^{7} + 24q^{9} + 16q^{10} - 34q^{15} - 160q^{16} - 16q^{18} - 24q^{19} + 18q^{21} + 16q^{22} + 16q^{24} + 216q^{25} + 30q^{27} + 16q^{28} + 64q^{30} - 96q^{31} - 76q^{33} - 80q^{34} - 48q^{36} + 200q^{37} + 28q^{39} - 32q^{40} - 48q^{42} + 104q^{43} + 696q^{45} - 32q^{46} - 288q^{49} + 1800q^{51} + 852q^{54} - 360q^{55} + 76q^{57} + 128q^{58} - 280q^{60} + 32q^{61} - 1318q^{63} + 320q^{64} - 1512q^{66} + 344q^{67} - 2640q^{69} - 192q^{70} + 32q^{72} - 40q^{73} - 1014q^{75} + 48q^{76} - 96q^{78} - 32q^{79} - 336q^{81} + 80q^{82} - 36q^{84} - 168q^{85} + 162q^{87} - 32q^{88} - 112q^{90} - 88q^{91} + 316q^{93} + 400q^{94} - 32q^{96} + 184q^{97} + 148q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{3}{29}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.451561 + 1.34018i −0.225780 + 0.670092i
\(3\) 1.39003 2.65854i 0.463344 0.886179i
\(4\) −1.59219 1.21035i −0.398047 0.302587i
\(5\) −7.10734 2.83182i −1.42147 0.566365i −0.472386 0.881392i \(-0.656607\pi\)
−0.949083 + 0.315027i \(0.897986\pi\)
\(6\) 2.93524 + 3.06339i 0.489207 + 0.510565i
\(7\) 7.21460 3.33783i 1.03066 0.476832i 0.169692 0.985497i \(-0.445723\pi\)
0.860965 + 0.508665i \(0.169861\pi\)
\(8\) 2.34106 1.58728i 0.292632 0.198410i
\(9\) −5.13563 7.39089i −0.570625 0.821211i
\(10\) 7.00456 8.24641i 0.700456 0.824641i
\(11\) −1.77764 0.493560i −0.161604 0.0448691i 0.185784 0.982591i \(-0.440517\pi\)
−0.347388 + 0.937722i \(0.612931\pi\)
\(12\) −5.43094 + 2.55046i −0.452579 + 0.212539i
\(13\) −6.81946 + 12.8629i −0.524574 + 0.989451i 0.469724 + 0.882813i \(0.344353\pi\)
−0.994298 + 0.106638i \(0.965991\pi\)
\(14\) 1.21548 + 11.1761i 0.0868197 + 0.798294i
\(15\) −17.4079 + 14.9588i −1.16053 + 0.997254i
\(16\) 1.07011 + 3.85420i 0.0668821 + 0.240887i
\(17\) −2.71642 + 5.87144i −0.159789 + 0.345379i −0.970889 0.239529i \(-0.923007\pi\)
0.811100 + 0.584908i \(0.198869\pi\)
\(18\) 12.2242 3.54525i 0.679123 0.196958i
\(19\) −2.31673 + 0.509952i −0.121933 + 0.0268396i −0.275518 0.961296i \(-0.588849\pi\)
0.153584 + 0.988136i \(0.450918\pi\)
\(20\) 7.88872 + 13.1112i 0.394436 + 0.655558i
\(21\) 1.15478 23.8199i 0.0549893 1.13428i
\(22\) 1.46417 2.15950i 0.0665534 0.0981589i
\(23\) −44.2237 7.25011i −1.92277 0.315222i −0.924887 0.380241i \(-0.875841\pi\)
−0.997884 + 0.0650188i \(0.979289\pi\)
\(24\) −0.965689 8.43015i −0.0402371 0.351256i
\(25\) 24.3452 + 23.0610i 0.973809 + 0.922440i
\(26\) −14.1592 14.9477i −0.544585 0.574911i
\(27\) −26.7876 + 3.37968i −0.992135 + 0.125173i
\(28\) −15.5269 3.41773i −0.554533 0.122062i
\(29\) −2.33111 6.91850i −0.0803833 0.238569i 0.899924 0.436046i \(-0.143622\pi\)
−0.980307 + 0.197477i \(0.936725\pi\)
\(30\) −12.1868 30.0846i −0.406227 1.00282i
\(31\) −17.8623 3.93179i −0.576204 0.126832i −0.0826982 0.996575i \(-0.526354\pi\)
−0.493506 + 0.869743i \(0.664285\pi\)
\(32\) −5.64856 0.306256i −0.176517 0.00957050i
\(33\) −3.78312 + 4.03986i −0.114640 + 0.122420i
\(34\) −6.64219 6.29181i −0.195358 0.185053i
\(35\) −60.7287 + 3.29262i −1.73511 + 0.0940748i
\(36\) −0.768682 + 17.9836i −0.0213523 + 0.499544i
\(37\) 18.1366 26.7495i 0.490179 0.722960i −0.499492 0.866319i \(-0.666480\pi\)
0.989671 + 0.143358i \(0.0457902\pi\)
\(38\) 0.362717 3.33512i 0.00954517 0.0877664i
\(39\) 24.7171 + 36.0096i 0.633773 + 0.923322i
\(40\) −21.1336 + 4.65186i −0.528340 + 0.116296i
\(41\) −12.4095 + 2.03443i −0.302670 + 0.0496202i −0.311203 0.950343i \(-0.600732\pi\)
0.00853348 + 0.999964i \(0.497284\pi\)
\(42\) 31.4017 + 12.3038i 0.747658 + 0.292947i
\(43\) 16.3494 + 58.8854i 0.380220 + 1.36943i 0.868045 + 0.496486i \(0.165377\pi\)
−0.487825 + 0.872941i \(0.662210\pi\)
\(44\) 2.23296 + 2.93741i 0.0507490 + 0.0667592i
\(45\) 15.5710 + 67.0728i 0.346021 + 1.49051i
\(46\) 29.6862 55.9941i 0.645352 1.21726i
\(47\) −62.8292 + 25.0335i −1.33679 + 0.532627i −0.925455 0.378857i \(-0.876317\pi\)
−0.411337 + 0.911483i \(0.634938\pi\)
\(48\) 11.7340 + 2.51252i 0.244459 + 0.0523442i
\(49\) 9.18737 10.8162i 0.187497 0.220739i
\(50\) −41.8993 + 22.2136i −0.837987 + 0.444272i
\(51\) 11.8335 + 15.3832i 0.232030 + 0.301631i
\(52\) 26.4264 12.2262i 0.508200 0.235118i
\(53\) 58.0539 49.3114i 1.09536 0.930405i 0.0974609 0.995239i \(-0.468928\pi\)
0.997896 + 0.0648348i \(0.0206521\pi\)
\(54\) 7.56685 37.4265i 0.140127 0.693083i
\(55\) 11.2366 + 8.54187i 0.204303 + 0.155307i
\(56\) 11.5917 19.2656i 0.206995 0.344029i
\(57\) −1.86461 + 6.86797i −0.0327124 + 0.120491i
\(58\) 10.3247 0.178012
\(59\) 25.2379 53.3296i 0.427762 0.903892i
\(60\) 45.8220 2.74754i 0.763701 0.0457923i
\(61\) −27.0565 9.11641i −0.443550 0.149449i 0.0886598 0.996062i \(-0.471742\pi\)
−0.532210 + 0.846613i \(0.678638\pi\)
\(62\) 13.3352 22.1634i 0.215085 0.357473i
\(63\) −61.7210 36.1805i −0.979699 0.574293i
\(64\) 2.96111 7.43181i 0.0462673 0.116122i
\(65\) 84.8936 72.1093i 1.30606 1.10937i
\(66\) −3.70585 6.89432i −0.0561492 0.104459i
\(67\) −62.9216 92.8025i −0.939129 1.38511i −0.922815 0.385244i \(-0.874117\pi\)
−0.0163141 0.999867i \(-0.505193\pi\)
\(68\) 11.4315 6.06062i 0.168111 0.0891267i
\(69\) −80.7471 + 107.493i −1.17025 + 1.55786i
\(70\) 23.0100 82.8745i 0.328714 1.18392i
\(71\) −51.3182 + 20.4471i −0.722792 + 0.287987i −0.702377 0.711805i \(-0.747878\pi\)
−0.0204149 + 0.999792i \(0.506499\pi\)
\(72\) −23.7542 9.15085i −0.329919 0.127095i
\(73\) −23.0011 + 2.50152i −0.315083 + 0.0342673i −0.264294 0.964442i \(-0.585139\pi\)
−0.0507886 + 0.998709i \(0.516173\pi\)
\(74\) 27.6595 + 36.3855i 0.373777 + 0.491695i
\(75\) 95.1491 32.6671i 1.26866 0.435561i
\(76\) 4.30589 + 1.99212i 0.0566565 + 0.0262121i
\(77\) −14.4724 + 2.37263i −0.187953 + 0.0308133i
\(78\) −59.4207 + 16.8650i −0.761804 + 0.216218i
\(79\) 71.5294 43.0378i 0.905435 0.544782i 0.0149973 0.999888i \(-0.495226\pi\)
0.890438 + 0.455105i \(0.150398\pi\)
\(80\) 3.30875 30.4235i 0.0413594 0.380294i
\(81\) −28.2506 + 75.9138i −0.348773 + 0.937207i
\(82\) 2.87711 17.5496i 0.0350868 0.214020i
\(83\) 96.2605 5.21909i 1.15977 0.0628807i 0.535809 0.844339i \(-0.320007\pi\)
0.623957 + 0.781459i \(0.285524\pi\)
\(84\) −30.6691 + 36.5281i −0.365108 + 0.434858i
\(85\) 35.9334 34.0379i 0.422746 0.400446i
\(86\) −86.3000 4.67905i −1.00349 0.0544075i
\(87\) −21.6334 3.41958i −0.248660 0.0393055i
\(88\) −4.94498 + 1.66616i −0.0561929 + 0.0189336i
\(89\) 20.4933 + 60.8219i 0.230261 + 0.683392i 0.999037 + 0.0438731i \(0.0139697\pi\)
−0.768776 + 0.639519i \(0.779134\pi\)
\(90\) −96.9212 9.41949i −1.07690 0.104661i
\(91\) −6.26562 + 115.563i −0.0688530 + 1.26992i
\(92\) 61.6373 + 65.0697i 0.669970 + 0.707279i
\(93\) −35.2820 + 42.0223i −0.379376 + 0.451853i
\(94\) −5.17823 95.5069i −0.0550876 1.01603i
\(95\) 17.9099 + 2.93618i 0.188525 + 0.0309072i
\(96\) −8.66586 + 14.5912i −0.0902694 + 0.151992i
\(97\) −84.3007 9.16825i −0.869079 0.0945181i −0.337296 0.941399i \(-0.609512\pi\)
−0.531783 + 0.846881i \(0.678478\pi\)
\(98\) 10.3471 + 17.1969i 0.105582 + 0.175479i
\(99\) 5.48146 + 15.6731i 0.0553683 + 0.158314i
\(100\) −10.8503 66.1836i −0.108503 0.661836i
\(101\) 41.4514 89.5958i 0.410410 0.887087i −0.586604 0.809874i \(-0.699536\pi\)
0.997015 0.0772135i \(-0.0246023\pi\)
\(102\) −25.9599 + 8.91268i −0.254508 + 0.0873792i
\(103\) 120.720 91.7690i 1.17204 0.890961i 0.176406 0.984317i \(-0.443553\pi\)
0.995633 + 0.0933564i \(0.0297596\pi\)
\(104\) 4.45218 + 40.9371i 0.0428094 + 0.393626i
\(105\) −75.6613 + 166.026i −0.720584 + 1.58120i
\(106\) 39.8715 + 100.070i 0.376147 + 0.944057i
\(107\) −149.261 41.4420i −1.39496 0.387309i −0.512901 0.858448i \(-0.671429\pi\)
−0.882059 + 0.471139i \(0.843843\pi\)
\(108\) 46.7415 + 27.0413i 0.432792 + 0.250382i
\(109\) −22.1077 41.6995i −0.202823 0.382564i 0.761146 0.648581i \(-0.224637\pi\)
−0.963968 + 0.266017i \(0.914292\pi\)
\(110\) −16.5217 + 11.2020i −0.150197 + 0.101836i
\(111\) −45.9041 85.3996i −0.413551 0.769365i
\(112\) 20.5851 + 24.2346i 0.183795 + 0.216381i
\(113\) 114.889 + 45.7759i 1.01672 + 0.405097i 0.818159 0.574992i \(-0.194995\pi\)
0.198558 + 0.980089i \(0.436374\pi\)
\(114\) −8.36236 5.60022i −0.0733540 0.0491247i
\(115\) 293.782 + 176.763i 2.55463 + 1.53707i
\(116\) −4.66223 + 13.8370i −0.0401916 + 0.119285i
\(117\) 130.090 15.6570i 1.11188 0.133820i
\(118\) 60.0750 + 57.9050i 0.509110 + 0.490721i
\(119\) 51.4270i 0.432160i
\(120\) −17.0092 + 62.6506i −0.141744 + 0.522089i
\(121\) −100.763 60.6273i −0.832755 0.501052i
\(122\) 24.4353 32.1441i 0.200290 0.263476i
\(123\) −11.8409 + 35.8189i −0.0962677 + 0.291211i
\(124\) 23.6813 + 27.8798i 0.190978 + 0.224837i
\(125\) −27.4137 59.2537i −0.219309 0.474030i
\(126\) 76.3593 66.3798i 0.606026 0.526824i
\(127\) −89.2030 168.255i −0.702386 1.32484i −0.935824 0.352469i \(-0.885342\pi\)
0.233438 0.972372i \(-0.425003\pi\)
\(128\) 8.62288 + 7.32434i 0.0673662 + 0.0572214i
\(129\) 179.275 + 38.3869i 1.38973 + 0.297573i
\(130\) 58.3051 + 146.335i 0.448501 + 1.12565i
\(131\) 186.871 + 99.0726i 1.42649 + 0.756280i 0.989683 0.143273i \(-0.0457628\pi\)
0.436812 + 0.899553i \(0.356108\pi\)
\(132\) 10.9131 1.85331i 0.0826748 0.0140403i
\(133\) −15.0122 + 11.4120i −0.112873 + 0.0858042i
\(134\) 152.785 42.4206i 1.14019 0.316572i
\(135\) 199.960 + 51.8373i 1.48118 + 0.383980i
\(136\) 2.96031 + 18.0571i 0.0217670 + 0.132773i
\(137\) 18.3047 + 83.1589i 0.133611 + 0.606999i 0.995070 + 0.0991730i \(0.0316197\pi\)
−0.861460 + 0.507826i \(0.830449\pi\)
\(138\) −107.598 156.755i −0.779693 1.13591i
\(139\) −19.4169 2.11171i −0.139690 0.0151922i 0.0380071 0.999277i \(-0.487899\pi\)
−0.177697 + 0.984085i \(0.556865\pi\)
\(140\) 100.677 + 68.2605i 0.719119 + 0.487575i
\(141\) −20.7822 + 201.831i −0.147392 + 1.43143i
\(142\) −4.22952 78.0090i −0.0297854 0.549359i
\(143\) 18.4712 19.4998i 0.129169 0.136362i
\(144\) 22.9903 27.7028i 0.159655 0.192381i
\(145\) −3.02395 + 55.7735i −0.0208548 + 0.384645i
\(146\) 7.03388 31.9552i 0.0481772 0.218871i
\(147\) −15.9845 39.4598i −0.108738 0.268434i
\(148\) −61.2531 + 20.6386i −0.413873 + 0.139450i
\(149\) −20.7827 + 94.4169i −0.139481 + 0.633671i 0.854057 + 0.520179i \(0.174135\pi\)
−0.993539 + 0.113492i \(0.963796\pi\)
\(150\) 0.814344 + 142.269i 0.00542896 + 0.948457i
\(151\) 43.3129 41.0281i 0.286840 0.271709i −0.530727 0.847543i \(-0.678081\pi\)
0.817567 + 0.575834i \(0.195322\pi\)
\(152\) −4.61418 + 4.87113i −0.0303564 + 0.0320469i
\(153\) 57.3457 10.0768i 0.374809 0.0658613i
\(154\) 3.35540 20.4670i 0.0217883 0.132903i
\(155\) 115.819 + 78.5276i 0.747222 + 0.506629i
\(156\) 4.22984 87.2503i 0.0271144 0.559297i
\(157\) −144.016 + 86.6517i −0.917301 + 0.551922i −0.894129 0.447810i \(-0.852204\pi\)
−0.0231719 + 0.999731i \(0.507377\pi\)
\(158\) 25.3787 + 115.297i 0.160625 + 0.729726i
\(159\) −50.3995 222.883i −0.316978 1.40178i
\(160\) 39.2790 + 18.1724i 0.245494 + 0.113577i
\(161\) −343.256 + 95.3046i −2.13203 + 0.591954i
\(162\) −88.9815 72.1407i −0.549269 0.445313i
\(163\) −17.5454 + 1.90818i −0.107641 + 0.0117066i −0.161781 0.986827i \(-0.551724\pi\)
0.0541402 + 0.998533i \(0.482758\pi\)
\(164\) 22.2205 + 11.7806i 0.135491 + 0.0718328i
\(165\) 38.3281 17.9995i 0.232292 0.109088i
\(166\) −36.4729 + 131.364i −0.219716 + 0.791347i
\(167\) −148.765 126.362i −0.890807 0.756658i 0.0799306 0.996800i \(-0.474530\pi\)
−0.970738 + 0.240142i \(0.922806\pi\)
\(168\) −35.1054 57.5968i −0.208961 0.342838i
\(169\) −24.1077 35.5562i −0.142649 0.210392i
\(170\) 29.3910 + 63.5276i 0.172888 + 0.373692i
\(171\) 15.6669 + 14.5038i 0.0916192 + 0.0848176i
\(172\) 45.2405 113.545i 0.263026 0.660145i
\(173\) 103.365 135.974i 0.597485 0.785978i −0.393590 0.919286i \(-0.628767\pi\)
0.991075 + 0.133308i \(0.0425601\pi\)
\(174\) 14.3517 27.4486i 0.0824808 0.157751i
\(175\) 252.615 + 85.1157i 1.44351 + 0.486376i
\(176\) 7.37955i 0.0419293i
\(177\) −106.697 141.226i −0.602809 0.797886i
\(178\) −90.7664 −0.509924
\(179\) 28.9191 85.8290i 0.161559 0.479491i −0.836046 0.548660i \(-0.815138\pi\)
0.997605 + 0.0691687i \(0.0220347\pi\)
\(180\) 56.3896 125.639i 0.313276 0.697993i
\(181\) −94.1187 71.5472i −0.519993 0.395288i 0.311994 0.950084i \(-0.399003\pi\)
−0.831986 + 0.554796i \(0.812796\pi\)
\(182\) −152.046 60.5806i −0.835416 0.332860i
\(183\) −61.8457 + 59.2587i −0.337955 + 0.323818i
\(184\) −115.038 + 53.2224i −0.625208 + 0.289252i
\(185\) −204.653 + 138.758i −1.10623 + 0.750045i
\(186\) −40.3857 66.2600i −0.217127 0.356236i
\(187\) 7.72673 9.09661i 0.0413194 0.0486450i
\(188\) 130.335 + 36.1873i 0.693272 + 0.192486i
\(189\) −181.981 + 113.796i −0.962864 + 0.602093i
\(190\) −12.0224 + 22.6767i −0.0632760 + 0.119351i
\(191\) −13.6029 125.076i −0.0712192 0.654849i −0.974281 0.225338i \(-0.927651\pi\)
0.903061 0.429511i \(-0.141314\pi\)
\(192\) −15.6417 18.2027i −0.0814673 0.0948055i
\(193\) −71.5836 257.821i −0.370900 1.33586i −0.879927 0.475109i \(-0.842408\pi\)
0.509027 0.860751i \(-0.330005\pi\)
\(194\) 50.3540 108.838i 0.259557 0.561023i
\(195\) −73.7004 325.927i −0.377951 1.67142i
\(196\) −27.7194 + 6.10149i −0.141425 + 0.0311301i
\(197\) 73.9586 + 122.920i 0.375425 + 0.623960i 0.985755 0.168186i \(-0.0537910\pi\)
−0.610331 + 0.792147i \(0.708963\pi\)
\(198\) −23.4801 + 0.268808i −0.118586 + 0.00135762i
\(199\) −136.133 + 200.781i −0.684084 + 1.00895i 0.314140 + 0.949377i \(0.398284\pi\)
−0.998224 + 0.0595722i \(0.981026\pi\)
\(200\) 93.5978 + 15.3446i 0.467989 + 0.0767229i
\(201\) −334.182 + 38.2811i −1.66260 + 0.190453i
\(202\) 101.357 + 96.0105i 0.501767 + 0.475299i
\(203\) −39.9108 42.1333i −0.196605 0.207553i
\(204\) −0.222180 38.8156i −0.00108912 0.190273i
\(205\) 93.9594 + 20.6820i 0.458339 + 0.100888i
\(206\) 68.4749 + 203.226i 0.332403 + 0.986535i
\(207\) 173.532 + 364.087i 0.838318 + 1.75887i
\(208\) −56.8737 12.5188i −0.273431 0.0601867i
\(209\) 4.37002 + 0.236935i 0.0209092 + 0.00113366i
\(210\) −188.340 176.371i −0.896858 0.839862i
\(211\) −281.006 266.183i −1.33178 1.26153i −0.939871 0.341530i \(-0.889055\pi\)
−0.391913 0.920002i \(-0.628187\pi\)
\(212\) −152.117 + 8.24753i −0.717531 + 0.0389034i
\(213\) −16.9747 + 164.853i −0.0796935 + 0.773960i
\(214\) 122.940 181.323i 0.574487 0.847305i
\(215\) 50.5519 464.817i 0.235125 2.16194i
\(216\) −57.3469 + 50.4314i −0.265495 + 0.233479i
\(217\) −141.993 + 31.2550i −0.654346 + 0.144032i
\(218\) 65.8679 10.7985i 0.302147 0.0495344i
\(219\) −25.3218 + 64.6263i −0.115625 + 0.295097i
\(220\) −7.55218 27.2005i −0.0343281 0.123639i
\(221\) −56.9991 74.9810i −0.257914 0.339281i
\(222\) 135.180 22.9569i 0.608917 0.103409i
\(223\) 73.8407 139.278i 0.331124 0.624567i −0.660920 0.750456i \(-0.729834\pi\)
0.992044 + 0.125890i \(0.0401785\pi\)
\(224\) −41.7743 + 16.6444i −0.186492 + 0.0743053i
\(225\) 45.4135 298.366i 0.201838 1.32607i
\(226\) −113.228 + 133.302i −0.501007 + 0.589831i
\(227\) 369.462 195.876i 1.62759 0.862892i 0.631418 0.775443i \(-0.282473\pi\)
0.996169 0.0874489i \(-0.0278715\pi\)
\(228\) 11.2814 8.67826i 0.0494800 0.0380626i
\(229\) 310.548 143.675i 1.35611 0.627402i 0.398950 0.916973i \(-0.369375\pi\)
0.957157 + 0.289571i \(0.0935126\pi\)
\(230\) −369.555 + 313.903i −1.60676 + 1.36480i
\(231\) −13.8093 + 41.7734i −0.0597807 + 0.180837i
\(232\) −16.4389 12.4965i −0.0708571 0.0538642i
\(233\) −49.9543 + 83.0247i −0.214396 + 0.356329i −0.945328 0.326121i \(-0.894258\pi\)
0.730932 + 0.682451i \(0.239086\pi\)
\(234\) −37.7604 + 181.415i −0.161369 + 0.775278i
\(235\) 517.439 2.20187
\(236\) −104.731 + 54.3639i −0.443775 + 0.230356i
\(237\) −14.9895 249.987i −0.0632468 1.05480i
\(238\) −68.9217 23.2224i −0.289587 0.0975732i
\(239\) −130.466 + 216.837i −0.545884 + 0.907267i 0.453983 + 0.891010i \(0.350003\pi\)
−0.999868 + 0.0162568i \(0.994825\pi\)
\(240\) −76.2827 51.0860i −0.317845 0.212859i
\(241\) 34.4081 86.3577i 0.142772 0.358331i −0.840150 0.542354i \(-0.817533\pi\)
0.982922 + 0.184024i \(0.0589123\pi\)
\(242\) 126.752 107.664i 0.523770 0.444895i
\(243\) 162.550 + 180.628i 0.668931 + 0.743325i
\(244\) 32.0450 + 47.2629i 0.131332 + 0.193700i
\(245\) −95.9274 + 50.8575i −0.391540 + 0.207581i
\(246\) −42.6570 32.0434i −0.173403 0.130258i
\(247\) 9.23944 33.2774i 0.0374066 0.134727i
\(248\) −48.0576 + 19.1479i −0.193781 + 0.0772092i
\(249\) 119.930 263.167i 0.481646 1.05689i
\(250\) 91.7898 9.98274i 0.367159 0.0399310i
\(251\) 44.7454 + 58.8615i 0.178268 + 0.234508i 0.876545 0.481320i \(-0.159842\pi\)
−0.698277 + 0.715828i \(0.746049\pi\)
\(252\) 54.4804 + 132.310i 0.216192 + 0.525040i
\(253\) 75.0356 + 34.7152i 0.296583 + 0.137214i
\(254\) 265.773 43.5713i 1.04635 0.171540i
\(255\) −40.5425 142.844i −0.158990 0.560173i
\(256\) −13.7097 + 8.24886i −0.0535536 + 0.0322221i
\(257\) 31.6929 291.411i 0.123319 1.13390i −0.754968 0.655761i \(-0.772348\pi\)
0.878287 0.478134i \(-0.158687\pi\)
\(258\) −132.399 + 222.928i −0.513175 + 0.864060i
\(259\) 41.5631 253.524i 0.160475 0.978857i
\(260\) −222.444 + 12.0606i −0.855553 + 0.0463868i
\(261\) −39.1622 + 52.7599i −0.150047 + 0.202145i
\(262\) −217.159 + 205.704i −0.828851 + 0.785130i
\(263\) −373.498 20.2505i −1.42015 0.0769980i −0.672009 0.740543i \(-0.734568\pi\)
−0.748136 + 0.663545i \(0.769051\pi\)
\(264\) −2.44413 + 15.4624i −0.00925808 + 0.0585698i
\(265\) −552.250 + 186.075i −2.08396 + 0.702169i
\(266\) −8.51522 25.2723i −0.0320121 0.0950085i
\(267\) 190.183 + 30.0622i 0.712297 + 0.112592i
\(268\) −12.1404 + 223.916i −0.0452999 + 0.835507i
\(269\) −329.164 347.494i −1.22366 1.29180i −0.943315 0.331898i \(-0.892311\pi\)
−0.280341 0.959900i \(-0.590448\pi\)
\(270\) −159.765 + 244.575i −0.591724 + 0.905833i
\(271\) −3.13796 57.8762i −0.0115792 0.213565i −0.998597 0.0529542i \(-0.983136\pi\)
0.987018 0.160611i \(-0.0513465\pi\)
\(272\) −25.5366 4.18651i −0.0938845 0.0153916i
\(273\) 298.518 + 177.293i 1.09347 + 0.649425i
\(274\) −119.714 13.0197i −0.436912 0.0475170i
\(275\) −31.8951 53.0100i −0.115982 0.192764i
\(276\) 258.668 73.4160i 0.937202 0.266000i
\(277\) −52.4798 320.113i −0.189458 1.15564i −0.894697 0.446673i \(-0.852609\pi\)
0.705240 0.708969i \(-0.250839\pi\)
\(278\) 11.5980 25.0686i 0.0417193 0.0901748i
\(279\) 62.6748 + 152.211i 0.224641 + 0.545558i
\(280\) −136.943 + 104.102i −0.489083 + 0.371791i
\(281\) −29.7921 273.934i −0.106022 0.974853i −0.919455 0.393195i \(-0.871370\pi\)
0.813434 0.581658i \(-0.197596\pi\)
\(282\) −261.106 118.991i −0.925909 0.421954i
\(283\) 154.931 + 388.848i 0.547461 + 1.37402i 0.899041 + 0.437865i \(0.144265\pi\)
−0.351580 + 0.936158i \(0.614356\pi\)
\(284\) 106.456 + 29.5574i 0.374846 + 0.104075i
\(285\) 32.7013 43.5328i 0.114741 0.152747i
\(286\) 17.7924 + 33.5601i 0.0622113 + 0.117343i
\(287\) −82.7386 + 56.0982i −0.288288 + 0.195464i
\(288\) 26.7454 + 43.3207i 0.0928659 + 0.150419i
\(289\) 160.000 + 188.366i 0.553632 + 0.651786i
\(290\) −73.3812 29.2378i −0.253039 0.100820i
\(291\) −141.555 + 211.372i −0.486442 + 0.726365i
\(292\) 39.6497 + 23.8564i 0.135787 + 0.0817000i
\(293\) −20.4030 + 60.5539i −0.0696348 + 0.206669i −0.976820 0.214063i \(-0.931330\pi\)
0.907185 + 0.420732i \(0.138227\pi\)
\(294\) 60.1014 3.60374i 0.204426 0.0122576i
\(295\) −330.395 + 307.562i −1.11998 + 1.04258i
\(296\) 91.4101i 0.308818i
\(297\) 49.2869 + 7.21344i 0.165949 + 0.0242877i
\(298\) −117.151 70.4876i −0.393125 0.236536i
\(299\) 394.839 519.402i 1.32053 1.73713i
\(300\) −191.034 63.1515i −0.636779 0.210505i
\(301\) 314.504 + 370.262i 1.04486 + 1.23011i
\(302\) 35.4269 + 76.5739i 0.117307 + 0.253556i
\(303\) −180.575 234.741i −0.595957 0.774723i
\(304\) −4.44462 8.38345i −0.0146205 0.0275771i
\(305\) 166.484 + 141.413i 0.545849 + 0.463649i
\(306\) −12.3903 + 81.4041i −0.0404913 + 0.266026i
\(307\) 36.0365 + 90.4447i 0.117383 + 0.294608i 0.975915 0.218151i \(-0.0700026\pi\)
−0.858532 + 0.512759i \(0.828623\pi\)
\(308\) 25.9144 + 13.7390i 0.0841378 + 0.0446070i
\(309\) −76.1666 448.500i −0.246494 1.45146i
\(310\) −157.541 + 119.759i −0.508196 + 0.386321i
\(311\) −223.160 + 61.9600i −0.717555 + 0.199228i −0.607069 0.794649i \(-0.707655\pi\)
−0.110486 + 0.993878i \(0.535241\pi\)
\(312\) 115.021 + 45.0676i 0.368658 + 0.144447i
\(313\) 62.2129 + 379.482i 0.198763 + 1.21240i 0.878064 + 0.478543i \(0.158835\pi\)
−0.679301 + 0.733860i \(0.737717\pi\)
\(314\) −51.0971 232.137i −0.162730 0.739289i
\(315\) 336.216 + 431.930i 1.06735 + 1.37121i
\(316\) −165.979 18.0513i −0.525249 0.0571243i
\(317\) 97.8479 + 66.3425i 0.308668 + 0.209282i 0.705679 0.708532i \(-0.250642\pi\)
−0.397011 + 0.917814i \(0.629952\pi\)
\(318\) 321.462 + 33.1005i 1.01089 + 0.104090i
\(319\) 0.729193 + 13.4492i 0.00228587 + 0.0421604i
\(320\) −42.0912 + 44.4351i −0.131535 + 0.138860i
\(321\) −317.652 + 339.209i −0.989570 + 1.05673i
\(322\) 27.2752 503.062i 0.0847057 1.56230i
\(323\) 3.29907 14.9878i 0.0102138 0.0464019i
\(324\) 136.862 86.6757i 0.422415 0.267518i
\(325\) −462.652 + 155.886i −1.42354 + 0.479648i
\(326\) 5.36550 24.3757i 0.0164586 0.0747722i
\(327\) −141.590 + 0.810460i −0.432997 + 0.00247847i
\(328\) −25.8221 + 24.4600i −0.0787258 + 0.0745730i
\(329\) −369.730 + 390.319i −1.12380 + 1.18638i
\(330\) 6.81522 + 59.4946i 0.0206522 + 0.180287i
\(331\) 18.2720 111.455i 0.0552025 0.336721i −0.944757 0.327770i \(-0.893703\pi\)
0.999960 0.00895018i \(-0.00284897\pi\)
\(332\) −159.582 108.199i −0.480668 0.325901i
\(333\) −290.846 + 3.32971i −0.873411 + 0.00999913i
\(334\) 236.525 142.312i 0.708157 0.426084i
\(335\) 184.405 + 837.762i 0.550464 + 2.50078i
\(336\) 93.0426 21.0393i 0.276912 0.0626170i
\(337\) 139.438 + 64.5108i 0.413762 + 0.191427i 0.615716 0.787968i \(-0.288867\pi\)
−0.201954 + 0.979395i \(0.564729\pi\)
\(338\) 58.5380 16.2530i 0.173189 0.0480858i
\(339\) 281.396 241.806i 0.830077 0.713293i
\(340\) −98.4105 + 10.7028i −0.289443 + 0.0314788i
\(341\) 29.8122 + 15.8054i 0.0874259 + 0.0463503i
\(342\) −26.5123 + 14.4472i −0.0775214 + 0.0422432i
\(343\) −74.0261 + 266.618i −0.215819 + 0.777311i
\(344\) 131.742 + 111.903i 0.382972 + 0.325299i
\(345\) 878.297 535.325i 2.54579 1.55167i
\(346\) 135.555 + 199.929i 0.391777 + 0.577828i
\(347\) 98.1857 + 212.225i 0.282956 + 0.611599i 0.995984 0.0895366i \(-0.0285386\pi\)
−0.713028 + 0.701136i \(0.752677\pi\)
\(348\) 30.3055 + 31.6286i 0.0870849 + 0.0908867i
\(349\) 29.6264 74.3567i 0.0848894 0.213056i −0.880404 0.474225i \(-0.842728\pi\)
0.965293 + 0.261168i \(0.0841078\pi\)
\(350\) −228.142 + 300.115i −0.651833 + 0.857472i
\(351\) 139.205 367.614i 0.396595 1.04733i
\(352\) 9.88996 + 3.33232i 0.0280965 + 0.00946680i
\(353\) 393.934i 1.11596i 0.829855 + 0.557980i \(0.188423\pi\)
−0.829855 + 0.557980i \(0.811577\pi\)
\(354\) 237.449 79.2218i 0.670759 0.223790i
\(355\) 422.639 1.19053
\(356\) 40.9865 121.644i 0.115131 0.341696i
\(357\) 136.721 + 71.4851i 0.382971 + 0.200239i
\(358\) 101.968 + 77.5140i 0.284826 + 0.216519i
\(359\) −188.991 75.3008i −0.526436 0.209751i 0.0917512 0.995782i \(-0.470754\pi\)
−0.618188 + 0.786030i \(0.712133\pi\)
\(360\) 142.916 + 132.306i 0.396988 + 0.367517i
\(361\) −322.528 + 149.217i −0.893428 + 0.413344i
\(362\) 138.387 93.8285i 0.382284 0.259195i
\(363\) −301.244 + 183.609i −0.829873 + 0.505810i
\(364\) 149.847 176.414i 0.411668 0.484653i
\(365\) 170.560 + 47.3558i 0.467288 + 0.129742i
\(366\) −51.4905 109.644i −0.140684 0.299573i
\(367\) 13.2075 24.9121i 0.0359879 0.0678803i −0.864866 0.502003i \(-0.832597\pi\)
0.900854 + 0.434123i \(0.142942\pi\)
\(368\) −19.3810 178.206i −0.0526658 0.484254i
\(369\) 78.7666 + 81.2689i 0.213460 + 0.220241i
\(370\) −93.5484 336.931i −0.252833 0.910624i
\(371\) 254.242 549.536i 0.685290 1.48123i
\(372\) 107.037 24.2038i 0.287734 0.0650641i
\(373\) −395.318 + 87.0162i −1.05983 + 0.233287i −0.710490 0.703707i \(-0.751527\pi\)
−0.349345 + 0.936994i \(0.613596\pi\)
\(374\) 8.70204 + 14.4629i 0.0232675 + 0.0386709i
\(375\) −195.634 9.48422i −0.521691 0.0252912i
\(376\) −107.352 + 158.332i −0.285510 + 0.421096i
\(377\) 104.889 + 17.1956i 0.278219 + 0.0456118i
\(378\) −70.3314 295.274i −0.186062 0.781148i
\(379\) −224.710 212.856i −0.592902 0.561626i 0.331303 0.943524i \(-0.392512\pi\)
−0.924204 + 0.381898i \(0.875270\pi\)
\(380\) −24.9621 26.3522i −0.0656898 0.0693479i
\(381\) −571.306 + 3.27015i −1.49949 + 0.00858308i
\(382\) 173.768 + 38.2492i 0.454889 + 0.100129i
\(383\) 204.725 + 607.602i 0.534529 + 1.58643i 0.785781 + 0.618505i \(0.212261\pi\)
−0.251251 + 0.967922i \(0.580842\pi\)
\(384\) 31.4581 12.7432i 0.0819221 0.0331854i
\(385\) 109.579 + 24.1202i 0.284621 + 0.0626498i
\(386\) 377.852 + 20.4865i 0.978891 + 0.0530739i
\(387\) 351.251 423.250i 0.907625 1.09367i
\(388\) 123.126 + 116.631i 0.317334 + 0.300595i
\(389\) −584.914 + 31.7131i −1.50363 + 0.0815247i −0.787447 0.616383i \(-0.788597\pi\)
−0.716188 + 0.697908i \(0.754115\pi\)
\(390\) 470.082 + 48.4037i 1.20534 + 0.124112i
\(391\) 162.699 239.963i 0.416110 0.613716i
\(392\) 4.33985 39.9043i 0.0110710 0.101797i
\(393\) 523.144 359.089i 1.33116 0.913712i
\(394\) −198.132 + 43.6123i −0.502874 + 0.110691i
\(395\) −630.259 + 103.326i −1.59559 + 0.261584i
\(396\) 10.2424 31.5890i 0.0258647 0.0797701i
\(397\) −26.9496 97.0635i −0.0678830 0.244493i 0.921822 0.387613i \(-0.126700\pi\)
−0.989705 + 0.143120i \(0.954286\pi\)
\(398\) −207.611 273.108i −0.521636 0.686200i
\(399\) 9.47171 + 55.7734i 0.0237386 + 0.139783i
\(400\) −62.8296 + 118.509i −0.157074 + 0.296273i
\(401\) 340.541 135.684i 0.849228 0.338363i 0.0954033 0.995439i \(-0.469586\pi\)
0.753825 + 0.657075i \(0.228207\pi\)
\(402\) 99.5995 465.151i 0.247760 1.15709i
\(403\) 172.386 202.948i 0.427756 0.503593i
\(404\) −174.441 + 92.4825i −0.431783 + 0.228917i
\(405\) 415.762 459.544i 1.02657 1.13468i
\(406\) 74.4886 34.4621i 0.183469 0.0848820i
\(407\) −45.4429 + 38.5996i −0.111653 + 0.0948393i
\(408\) 52.1204 + 17.2298i 0.127746 + 0.0422300i
\(409\) −10.3037 7.83269i −0.0251925 0.0191508i 0.592502 0.805569i \(-0.298140\pi\)
−0.617695 + 0.786418i \(0.711933\pi\)
\(410\) −70.1461 + 116.584i −0.171088 + 0.284350i
\(411\) 246.525 + 66.9298i 0.599817 + 0.162846i
\(412\) −303.281 −0.736119
\(413\) 4.07655 468.991i 0.00987057 1.13557i
\(414\) −566.304 + 68.1573i −1.36788 + 0.164631i
\(415\) −698.936 235.499i −1.68418 0.567468i
\(416\) 42.4595 70.5682i 0.102066 0.169635i
\(417\) −32.6041 + 48.6851i −0.0781873 + 0.116751i
\(418\) −2.29086 + 5.74964i −0.00548054 + 0.0137551i
\(419\) 50.3813 42.7942i 0.120242 0.102134i −0.585248 0.810854i \(-0.699003\pi\)
0.705490 + 0.708720i \(0.250727\pi\)
\(420\) 321.417 172.768i 0.765278 0.411353i
\(421\) 363.567 + 536.221i 0.863580 + 1.27368i 0.960468 + 0.278390i \(0.0898006\pi\)
−0.0968885 + 0.995295i \(0.530889\pi\)
\(422\) 483.626 256.402i 1.14603 0.607588i
\(423\) 507.687 + 335.802i 1.20021 + 0.793858i
\(424\) 57.6367 207.589i 0.135936 0.489596i
\(425\) −201.533 + 80.2982i −0.474196 + 0.188937i
\(426\) −213.269 97.1905i −0.500631 0.228147i
\(427\) −225.631 + 24.5388i −0.528410 + 0.0574680i
\(428\) 187.492 + 246.641i 0.438064 + 0.576264i
\(429\) −26.1653 76.2115i −0.0609915 0.177649i
\(430\) 600.113 + 277.642i 1.39561 + 0.645679i
\(431\) 270.836 44.4013i 0.628390 0.103019i 0.160832 0.986982i \(-0.448582\pi\)
0.467558 + 0.883963i \(0.345134\pi\)
\(432\) −41.6918 99.6283i −0.0965087 0.230621i
\(433\) −312.046 + 187.752i −0.720661 + 0.433607i −0.828083 0.560606i \(-0.810568\pi\)
0.107421 + 0.994214i \(0.465741\pi\)
\(434\) 22.2310 204.410i 0.0512234 0.470992i
\(435\) 144.072 + 85.5661i 0.331201 + 0.196704i
\(436\) −15.2714 + 93.1513i −0.0350261 + 0.213650i
\(437\) 106.152 5.75539i 0.242910 0.0131702i
\(438\) −75.1768 63.1186i −0.171637 0.144106i
\(439\) −36.1333 + 34.2272i −0.0823081 + 0.0779664i −0.727748 0.685845i \(-0.759433\pi\)
0.645440 + 0.763811i \(0.276674\pi\)
\(440\) 39.8639 + 2.16136i 0.0905998 + 0.00491218i
\(441\) −127.124 12.3549i −0.288264 0.0280155i
\(442\) 126.227 42.5308i 0.285581 0.0962235i
\(443\) 99.5409 + 295.427i 0.224697 + 0.666877i 0.999403 + 0.0345554i \(0.0110015\pi\)
−0.774706 + 0.632322i \(0.782102\pi\)
\(444\) −30.2753 + 191.532i −0.0681877 + 0.431378i
\(445\) 26.5841 490.315i 0.0597396 1.10183i
\(446\) 153.315 + 161.853i 0.343756 + 0.362899i
\(447\) 222.122 + 186.494i 0.496918 + 0.417213i
\(448\) −3.44293 63.5012i −0.00768512 0.141744i
\(449\) 593.860 + 97.3584i 1.32263 + 0.216834i 0.781394 0.624038i \(-0.214509\pi\)
0.541234 + 0.840872i \(0.317957\pi\)
\(450\) 379.358 + 195.593i 0.843018 + 0.434650i
\(451\) 23.0637 + 2.50833i 0.0511390 + 0.00556170i
\(452\) −127.520 211.940i −0.282123 0.468893i
\(453\) −48.8685 172.179i −0.107878 0.380086i
\(454\) 95.6759 + 583.597i 0.210740 + 1.28546i
\(455\) 371.785 803.600i 0.817110 1.76615i
\(456\) 6.53622 + 19.0380i 0.0143338 + 0.0417499i
\(457\) −420.392 + 319.574i −0.919895 + 0.699286i −0.953896 0.300136i \(-0.902968\pi\)
0.0340016 + 0.999422i \(0.489175\pi\)
\(458\) 52.3195 + 481.070i 0.114235 + 1.05037i
\(459\) 52.9228 166.463i 0.115300 0.362664i
\(460\) −253.811 637.018i −0.551764 1.38482i
\(461\) −355.389 98.6734i −0.770910 0.214042i −0.140265 0.990114i \(-0.544796\pi\)
−0.630644 + 0.776072i \(0.717209\pi\)
\(462\) −49.7483 37.3703i −0.107680 0.0808881i
\(463\) −51.3425 96.8422i −0.110891 0.209162i 0.821855 0.569697i \(-0.192939\pi\)
−0.932746 + 0.360534i \(0.882594\pi\)
\(464\) 24.1707 16.3882i 0.0520921 0.0353193i
\(465\) 369.761 198.755i 0.795185 0.427429i
\(466\) −88.7110 104.439i −0.190367 0.224117i
\(467\) 807.309 + 321.661i 1.72871 + 0.688782i 0.999992 + 0.00397094i \(0.00126399\pi\)
0.728721 + 0.684811i \(0.240115\pi\)
\(468\) −226.078 132.526i −0.483074 0.283175i
\(469\) −763.713 459.511i −1.62839 0.979767i
\(470\) −233.655 + 693.464i −0.497139 + 1.47546i
\(471\) 30.1796 + 503.321i 0.0640756 + 1.06862i
\(472\) −25.5653 164.907i −0.0541639 0.349380i
\(473\) 112.747i 0.238365i
\(474\) 341.798 + 92.7957i 0.721092 + 0.195772i
\(475\) −68.1614 41.0114i −0.143498 0.0863397i
\(476\) 62.2446 81.8814i 0.130766 0.172020i
\(477\) −662.599 175.825i −1.38910 0.368606i
\(478\) −231.688 272.764i −0.484702 0.570636i
\(479\) −365.275 789.529i −0.762579 1.64829i −0.761396 0.648287i \(-0.775486\pi\)
−0.00118270 0.999999i \(-0.500376\pi\)
\(480\) 102.911 79.1644i 0.214398 0.164926i
\(481\) 220.394 + 415.706i 0.458199 + 0.864255i
\(482\) 100.198 + 85.1088i 0.207879 + 0.176574i
\(483\) −223.766 + 1045.03i −0.463283 + 2.16363i
\(484\) 87.0538 + 218.489i 0.179863 + 0.451423i
\(485\) 573.191 + 303.887i 1.18184 + 0.626570i
\(486\) −315.476 + 136.283i −0.649127 + 0.280417i
\(487\) −392.873 + 298.654i −0.806721 + 0.613253i −0.925104 0.379715i \(-0.876022\pi\)
0.118383 + 0.992968i \(0.462229\pi\)
\(488\) −77.8112 + 21.6042i −0.159449 + 0.0442708i
\(489\) −19.3157 + 49.2975i −0.0395004 + 0.100813i
\(490\) −24.8413 151.526i −0.0506966 0.309236i
\(491\) −138.210 627.894i −0.281486 1.27881i −0.878952 0.476911i \(-0.841756\pi\)
0.597465 0.801895i \(-0.296175\pi\)
\(492\) 62.2063 42.6987i 0.126436 0.0867860i
\(493\) 46.9539 + 5.10654i 0.0952411 + 0.0103581i
\(494\) 40.4257 + 27.4093i 0.0818335 + 0.0554845i
\(495\) 5.42487 126.917i 0.0109593 0.256397i
\(496\) −3.96079 73.0524i −0.00798546 0.147283i
\(497\) −301.992 + 318.809i −0.607629 + 0.641466i
\(498\) 298.536 + 279.564i 0.599471 + 0.561373i
\(499\) 20.2201 372.938i 0.0405212 0.747370i −0.905714 0.423890i \(-0.860664\pi\)
0.946235 0.323480i \(-0.104853\pi\)
\(500\) −28.0699 + 127.523i −0.0561399 + 0.255046i
\(501\) −542.726 + 219.850i −1.08328 + 0.438821i
\(502\) −99.0905 + 33.3875i −0.197392 + 0.0665089i
\(503\) −43.2876 + 196.658i −0.0860589 + 0.390969i −0.999885 0.0151352i \(-0.995182\pi\)
0.913827 + 0.406105i \(0.133113\pi\)
\(504\) −201.921 + 13.2677i −0.400637 + 0.0263249i
\(505\) −548.329 + 519.405i −1.08580 + 1.02852i
\(506\) −80.4078 + 84.8855i −0.158909 + 0.167758i
\(507\) −128.038 + 14.6670i −0.252540 + 0.0289290i
\(508\) −61.6191 + 375.860i −0.121297 + 0.739881i
\(509\) 284.212 + 192.700i 0.558373 + 0.378586i 0.807485 0.589889i \(-0.200828\pi\)
−0.249112 + 0.968475i \(0.580139\pi\)
\(510\) 209.745 + 10.1683i 0.411264 + 0.0199378i
\(511\) −157.594 + 94.8210i −0.308402 + 0.185560i
\(512\) −4.86423 22.0984i −0.00950044 0.0431609i
\(513\) 60.3364 21.4902i 0.117615 0.0418913i
\(514\) 376.233 + 174.064i 0.731971 + 0.338646i
\(515\) −1117.87 + 310.376i −2.17063 + 0.602671i
\(516\) −238.978 278.104i −0.463135 0.538962i
\(517\) 124.043 13.4905i 0.239929 0.0260939i
\(518\) 321.000 + 170.184i 0.619692 + 0.328540i
\(519\) −217.812 463.808i −0.419676 0.893656i
\(520\) 84.2835 303.562i 0.162084 0.583773i
\(521\) 351.471 + 298.542i 0.674609 + 0.573018i 0.917840 0.396950i \(-0.129932\pi\)
−0.243231 + 0.969968i \(0.578207\pi\)
\(522\) −53.0238 76.3088i −0.101578 0.146185i
\(523\) 318.065 + 469.110i 0.608154 + 0.896960i 0.999731 0.0231852i \(-0.00738075\pi\)
−0.391577 + 0.920145i \(0.628070\pi\)
\(524\) −177.621 383.921i −0.338971 0.732673i
\(525\) 577.425 553.271i 1.09986 1.05385i
\(526\) 195.796 491.412i 0.372237 0.934243i
\(527\) 71.6068 94.1972i 0.135876 0.178742i
\(528\) −19.6188 10.2578i −0.0371568 0.0194277i
\(529\) 1401.87 + 472.344i 2.65003 + 0.892900i
\(530\) 824.141i 1.55498i
\(531\) −523.766 + 87.3500i −0.986377 + 0.164501i
\(532\) 37.7146 0.0708921
\(533\) 58.4572 173.495i 0.109676 0.325506i
\(534\) −126.168 + 241.306i −0.236270 + 0.451884i
\(535\) 943.491 + 717.223i 1.76353 + 1.34060i
\(536\) −294.606 117.382i −0.549639 0.218996i
\(537\) −187.981 196.188i −0.350058 0.365340i
\(538\) 614.343 284.225i 1.14190 0.528300i
\(539\) −21.6703 + 14.6928i −0.0402046 + 0.0272594i
\(540\) −255.632 324.556i −0.473392 0.601029i
\(541\) 23.8444 28.0718i 0.0440747 0.0518887i −0.739683 0.672955i \(-0.765025\pi\)
0.783758 + 0.621067i \(0.213300\pi\)
\(542\) 78.9817 + 21.9292i 0.145723 + 0.0404597i
\(543\) −321.039 + 150.765i −0.591231 + 0.277652i
\(544\) 17.1420 32.3333i 0.0315111 0.0594362i
\(545\) 39.0412 + 358.978i 0.0716352 + 0.658675i
\(546\) −372.404 + 320.010i −0.682059 + 0.586100i
\(547\) 179.849 + 647.759i 0.328792 + 1.18420i 0.924557 + 0.381043i \(0.124435\pi\)
−0.595765 + 0.803159i \(0.703151\pi\)
\(548\) 71.5068 154.559i 0.130487 0.282043i
\(549\) 71.5739 + 246.791i 0.130371 + 0.449527i
\(550\) 85.4458 18.8080i 0.155356 0.0341964i
\(551\) 8.92868 + 14.8396i 0.0162045 + 0.0269321i
\(552\) −18.4132 + 379.814i −0.0333572 + 0.688069i
\(553\) 372.403 549.253i 0.673423 0.993224i
\(554\) 452.708 + 74.2177i 0.817162 + 0.133967i
\(555\) 84.4197 + 736.956i 0.152108 + 1.32785i
\(556\) 28.3593 + 26.8634i 0.0510060 + 0.0483155i
\(557\) 141.553 + 149.435i 0.254134 + 0.268286i 0.840562 0.541715i \(-0.182225\pi\)
−0.586428 + 0.810001i \(0.699466\pi\)
\(558\) −232.292 + 15.2633i −0.416294 + 0.0273536i
\(559\) −868.929 191.266i −1.55443 0.342157i
\(560\) −77.6770 230.537i −0.138709 0.411674i
\(561\) −13.4433 33.1864i −0.0239630 0.0591557i
\(562\) 380.574 + 83.7707i 0.677179 + 0.149058i
\(563\) 315.681 + 17.1157i 0.560713 + 0.0304010i 0.332318 0.943168i \(-0.392169\pi\)
0.228395 + 0.973569i \(0.426652\pi\)
\(564\) 277.375 296.199i 0.491800 0.525175i
\(565\) −686.926 650.691i −1.21580 1.15167i
\(566\) −591.089 + 32.0479i −1.04433 + 0.0566218i
\(567\) 49.5701 + 641.983i 0.0874252 + 1.13225i
\(568\) −87.6839 + 129.324i −0.154373 + 0.227683i
\(569\) 41.7908 384.260i 0.0734460 0.675325i −0.898314 0.439354i \(-0.855207\pi\)
0.971760 0.235971i \(-0.0758271\pi\)
\(570\) 43.5753 + 63.4834i 0.0764479 + 0.111374i
\(571\) 932.899 205.347i 1.63380 0.359626i 0.699088 0.715036i \(-0.253589\pi\)
0.934711 + 0.355409i \(0.115658\pi\)
\(572\) −53.0110 + 8.69072i −0.0926766 + 0.0151936i
\(573\) −351.428 137.696i −0.613313 0.240307i
\(574\) −37.8204 136.217i −0.0658892 0.237311i
\(575\) −909.442 1196.35i −1.58164 2.08061i
\(576\) −70.1349 + 16.2818i −0.121762 + 0.0282670i
\(577\) 117.711 222.026i 0.204005 0.384794i −0.760307 0.649564i \(-0.774951\pi\)
0.964312 + 0.264770i \(0.0852961\pi\)
\(578\) −324.695 + 129.370i −0.561756 + 0.223824i
\(579\) −784.930 168.071i −1.35566 0.290279i
\(580\) 72.3200 85.1417i 0.124690 0.146796i
\(581\) 677.060 358.955i 1.16534 0.617822i
\(582\) −219.357 285.157i −0.376902 0.489960i
\(583\) −127.537 + 59.0050i −0.218760 + 0.101209i
\(584\) −49.8762 + 42.3652i −0.0854044 + 0.0725432i
\(585\) −968.934 257.113i −1.65630 0.439510i
\(586\) −71.9402 54.6875i −0.122765 0.0933234i
\(587\) −276.108 + 458.896i −0.470372 + 0.781764i −0.997692 0.0679025i \(-0.978369\pi\)
0.527320 + 0.849667i \(0.323197\pi\)
\(588\) −22.3097 + 82.1742i −0.0379417 + 0.139752i
\(589\) 43.3873 0.0736626
\(590\) −262.997 581.673i −0.445757 0.985886i
\(591\) 429.593 25.7588i 0.726891 0.0435851i
\(592\) 122.506 + 41.2772i 0.206936 + 0.0697250i
\(593\) −268.843 + 446.820i −0.453361 + 0.753492i −0.996269 0.0863004i \(-0.972496\pi\)
0.542908 + 0.839792i \(0.317323\pi\)
\(594\) −31.9234 + 62.7962i −0.0537430 + 0.105718i
\(595\) 145.632 365.509i 0.244760 0.614302i
\(596\) 147.367 125.175i 0.247261 0.210025i
\(597\) 344.554 + 641.006i 0.577143 + 1.07371i
\(598\) 517.801 + 763.699i 0.865888 + 1.27709i
\(599\) 682.821 362.009i 1.13994 0.604355i 0.212064 0.977256i \(-0.431982\pi\)
0.927871 + 0.372900i \(0.121637\pi\)
\(600\) 170.898 227.504i 0.284830 0.379173i
\(601\) −302.634 + 1089.99i −0.503551 + 1.81363i 0.0739839 + 0.997259i \(0.476429\pi\)
−0.577535 + 0.816366i \(0.695985\pi\)
\(602\) −638.237 + 254.297i −1.06019 + 0.422420i
\(603\) −362.751 + 941.646i −0.601577 + 1.56160i
\(604\) −118.620 + 12.9008i −0.196392 + 0.0213589i
\(605\) 544.474 + 716.243i 0.899956 + 1.18387i
\(606\) 396.137 136.004i 0.653691 0.224429i
\(607\) −154.607 71.5290i −0.254707 0.117840i 0.288381 0.957516i \(-0.406883\pi\)
−0.543088 + 0.839676i \(0.682745\pi\)
\(608\) 13.2424 2.17098i 0.0217802 0.00357069i
\(609\) −167.490 + 47.5377i −0.275025 + 0.0780586i
\(610\) −264.697 + 159.263i −0.433929 + 0.261087i
\(611\) 106.459 978.879i 0.174238 1.60209i
\(612\) −103.501 53.3642i −0.169120 0.0871964i
\(613\) 47.2673 288.318i 0.0771081 0.470339i −0.919841 0.392290i \(-0.871683\pi\)
0.996950 0.0780483i \(-0.0248688\pi\)
\(614\) −137.485 + 7.45423i −0.223917 + 0.0121404i
\(615\) 185.590 221.046i 0.301773 0.359424i
\(616\) −30.1147 + 28.5261i −0.0488875 + 0.0463087i
\(617\) −978.603 53.0583i −1.58607 0.0859940i −0.760135 0.649765i \(-0.774867\pi\)
−0.825931 + 0.563771i \(0.809350\pi\)
\(618\) 635.467 + 100.448i 1.02826 + 0.162537i
\(619\) 730.020 245.972i 1.17935 0.397371i 0.339722 0.940526i \(-0.389667\pi\)
0.839632 + 0.543155i \(0.182770\pi\)
\(620\) −89.3605 265.212i −0.144130 0.427762i
\(621\) 1209.15 + 44.7513i 1.94711 + 0.0720633i
\(622\) 17.7323 327.054i 0.0285086 0.525810i
\(623\) 350.863 + 370.402i 0.563184 + 0.594546i
\(624\) −112.338 + 133.799i −0.180029 + 0.214422i
\(625\) −18.3444 338.342i −0.0293510 0.541348i
\(626\) −536.669 87.9824i −0.857298 0.140547i
\(627\) 6.70436 11.2885i 0.0106928 0.0180040i
\(628\) 334.179 + 36.3442i 0.532133 + 0.0578729i
\(629\) 107.792 + 179.151i 0.171370 + 0.284819i
\(630\) −730.688 + 255.548i −1.15982 + 0.405632i
\(631\) −105.153 641.405i −0.166645 1.01649i −0.929203 0.369570i \(-0.879505\pi\)
0.762558 0.646920i \(-0.223943\pi\)
\(632\) 99.1415 214.291i 0.156869 0.339068i
\(633\) −1098.27 + 377.062i −1.73502 + 0.595675i
\(634\) −133.095 + 101.176i −0.209930 + 0.159584i
\(635\) 157.529 + 1448.45i 0.248077 + 2.28103i
\(636\) −189.521 + 415.872i −0.297988 + 0.653887i
\(637\) 76.4745 + 191.937i 0.120054 + 0.301313i
\(638\) −18.3536 5.09586i −0.0287674 0.00798724i
\(639\) 414.673 + 274.279i 0.648941 + 0.429232i
\(640\) −40.5445 76.4751i −0.0633508 0.119492i
\(641\) −803.636 + 544.879i −1.25372 + 0.850045i −0.993313 0.115454i \(-0.963168\pi\)
−0.260409 + 0.965498i \(0.583857\pi\)
\(642\) −311.164 578.886i −0.484679 0.901691i
\(643\) −738.651 869.607i −1.14876 1.35242i −0.925989 0.377550i \(-0.876767\pi\)
−0.222768 0.974872i \(-0.571509\pi\)
\(644\) 661.879 + 263.717i 1.02776 + 0.409498i
\(645\) −1165.46 780.504i −1.80692 1.21008i
\(646\) 18.5967 + 11.1893i 0.0287875 + 0.0173208i
\(647\) 56.2812 167.037i 0.0869879 0.258171i −0.895326 0.445411i \(-0.853058\pi\)
0.982314 + 0.187240i \(0.0599542\pi\)
\(648\) 54.3598 + 222.560i 0.0838885 + 0.343457i
\(649\) −71.1854 + 82.3445i −0.109685 + 0.126879i
\(650\) 690.431i 1.06220i
\(651\) −114.282 + 420.939i −0.175549 + 0.646604i
\(652\) 30.2451 + 18.1979i 0.0463882 + 0.0279109i
\(653\) −652.800 + 858.744i −0.999694 + 1.31507i −0.0510609 + 0.998696i \(0.516260\pi\)
−0.948633 + 0.316379i \(0.897533\pi\)
\(654\) 62.8503 190.123i 0.0961013 0.290707i
\(655\) −1047.60 1233.33i −1.59939 1.88294i
\(656\) −21.1206 45.6515i −0.0321961 0.0695906i
\(657\) 136.613 + 157.151i 0.207935 + 0.239196i
\(658\) −356.144 671.759i −0.541253 1.02091i
\(659\) −394.438 335.039i −0.598541 0.508405i 0.296120 0.955151i \(-0.404307\pi\)
−0.894661 + 0.446745i \(0.852583\pi\)
\(660\) −82.8113 17.7318i −0.125472 0.0268663i
\(661\) −126.783 318.201i −0.191805 0.481393i 0.801351 0.598195i \(-0.204115\pi\)
−0.993155 + 0.116802i \(0.962736\pi\)
\(662\) 141.119 + 74.8164i 0.213170 + 0.113016i
\(663\) −278.570 + 47.3082i −0.420166 + 0.0713547i
\(664\) 217.067 165.010i 0.326909 0.248510i
\(665\) 139.013 38.5969i 0.209043 0.0580404i
\(666\) 126.872 391.291i 0.190499 0.587524i
\(667\) 52.9307 + 322.863i 0.0793564 + 0.484052i
\(668\) 83.9193 + 381.249i 0.125628 + 0.570732i
\(669\) −267.636 389.910i −0.400053 0.582824i
\(670\) −1206.03 131.163i −1.80004 0.195766i
\(671\) 43.5973 + 29.5597i 0.0649737 + 0.0440533i
\(672\) −13.8178 + 134.195i −0.0205622 + 0.199694i
\(673\) 62.4477 + 1151.78i 0.0927900 + 1.71141i 0.561018 + 0.827803i \(0.310410\pi\)
−0.468228 + 0.883607i \(0.655108\pi\)
\(674\) −149.421 + 157.742i −0.221693 + 0.234038i
\(675\) −730.090 535.471i −1.08161 0.793290i
\(676\) −4.65144 + 85.7909i −0.00688084 + 0.126910i
\(677\) −126.892 + 576.476i −0.187433 + 0.851515i 0.785214 + 0.619225i \(0.212553\pi\)
−0.972646 + 0.232290i \(0.925378\pi\)
\(678\) 196.998 + 486.313i 0.290557 + 0.717276i
\(679\) −638.797 + 215.236i −0.940791 + 0.316990i
\(680\) 30.0946 136.721i 0.0442567 0.201060i
\(681\) −7.18076 1254.50i −0.0105444 1.84215i
\(682\) −34.6442 + 32.8168i −0.0507980 + 0.0481184i
\(683\) 611.537 645.592i 0.895369 0.945230i −0.103409 0.994639i \(-0.532975\pi\)
0.998779 + 0.0494091i \(0.0157338\pi\)
\(684\) −7.38993 42.0552i −0.0108040 0.0614842i
\(685\) 105.394 642.874i 0.153860 0.938502i
\(686\) −323.890 219.603i −0.472142 0.320120i
\(687\) 49.7067 1025.32i 0.0723533 1.49246i
\(688\) −209.460 + 126.028i −0.304448 + 0.183180i
\(689\) 238.390 + 1083.02i 0.345994 + 1.57187i
\(690\) 320.829 + 1418.81i 0.464970 + 2.05625i
\(691\) 718.189 + 332.270i 1.03935 + 0.480853i 0.863915 0.503638i \(-0.168006\pi\)
0.175433 + 0.984491i \(0.443868\pi\)
\(692\) −329.152 + 91.3887i −0.475654 + 0.132065i
\(693\) 91.8606 + 94.7789i 0.132555 + 0.136766i
\(694\) −328.757 + 35.7545i −0.473714 + 0.0515195i
\(695\) 132.022 + 69.9938i 0.189960 + 0.100710i
\(696\) −56.0729 + 26.3328i −0.0805645 + 0.0378344i
\(697\) 21.7643 78.3878i 0.0312256 0.112465i
\(698\) 86.2735 + 73.2814i 0.123601 + 0.104988i
\(699\) 151.286 + 248.212i 0.216432 + 0.355096i
\(700\) −299.190 441.272i −0.427414 0.630388i
\(701\) −86.6199 187.226i −0.123566 0.267084i 0.835914 0.548861i \(-0.184938\pi\)
−0.959480 + 0.281777i \(0.909076\pi\)
\(702\) 429.810 + 352.560i 0.612265 + 0.502222i
\(703\) −28.3768 + 71.2204i −0.0403653 + 0.101309i
\(704\) −8.93183 + 11.7496i −0.0126873 + 0.0166898i
\(705\) 719.257 1375.63i 1.02022 1.95125i
\(706\) −527.943 177.885i −0.747795 0.251962i
\(707\) 784.755i 1.10998i
\(708\) −1.05067 + 353.998i −0.00148400 + 0.499998i
\(709\) 596.297 0.841039 0.420520 0.907283i \(-0.361848\pi\)
0.420520 + 0.907283i \(0.361848\pi\)
\(710\) −190.847 + 566.414i −0.268799 + 0.797766i
\(711\) −685.436 307.640i −0.964045 0.432686i
\(712\) 144.517 + 109.859i 0.202973 + 0.154296i
\(713\) 761.433 + 303.382i 1.06793 + 0.425501i
\(714\) −157.541 + 150.951i −0.220645 + 0.211416i
\(715\) −186.501 + 86.2844i −0.260840 + 0.120678i
\(716\) −149.928 + 101.653i −0.209396 + 0.141974i
\(717\) 395.116 + 648.259i 0.551069 + 0.904127i
\(718\) 186.258 219.279i 0.259412 0.305403i
\(719\) −791.787 219.839i −1.10123 0.305756i −0.331072 0.943605i \(-0.607410\pi\)
−0.770161 + 0.637849i \(0.779824\pi\)
\(720\) −241.849 + 131.789i −0.335902 + 0.183040i
\(721\) 564.637 1065.02i 0.783131 1.47714i
\(722\) −54.3377 499.627i −0.0752600 0.692004i
\(723\) −181.757 211.515i −0.251393 0.292552i
\(724\) 63.2575 + 227.833i 0.0873722 + 0.314686i
\(725\) 102.796 222.190i 0.141788 0.306469i
\(726\) −110.040 486.633i −0.151570 0.670293i
\(727\) 335.209 73.7852i 0.461086 0.101493i 0.0216480 0.999766i \(-0.493109\pi\)
0.439438 + 0.898273i \(0.355178\pi\)
\(728\) 168.762 + 280.484i 0.231815 + 0.385280i
\(729\) 706.156 181.067i 0.968663 0.248378i
\(730\) −140.484 + 207.198i −0.192444 + 0.283833i
\(731\) −390.154 63.9625i −0.533726 0.0875000i
\(732\) 170.194 19.4960i 0.232505 0.0266339i
\(733\) 596.605 + 565.134i 0.813922 + 0.770988i 0.976456 0.215715i \(-0.0692083\pi\)
−0.162535 + 0.986703i \(0.551967\pi\)
\(734\) 27.4228 + 28.9499i 0.0373607 + 0.0394412i
\(735\) 1.86442 + 325.720i 0.00253662 + 0.443156i
\(736\) 247.580 + 54.4965i 0.336386 + 0.0740441i
\(737\) 66.0486 + 196.025i 0.0896181 + 0.265977i
\(738\) −144.483 + 68.8639i −0.195777 + 0.0933115i
\(739\) −341.909 75.2598i −0.462664 0.101840i −0.0224795 0.999747i \(-0.507156\pi\)
−0.440185 + 0.897907i \(0.645087\pi\)
\(740\) 493.792 + 26.7726i 0.667287 + 0.0361792i
\(741\) −75.6262 70.8201i −0.102060 0.0955736i
\(742\) 621.673 + 588.880i 0.837835 + 0.793639i
\(743\) 611.453 33.1520i 0.822951 0.0446191i 0.362147 0.932121i \(-0.382044\pi\)
0.460804 + 0.887502i \(0.347561\pi\)
\(744\) −15.8962 + 154.379i −0.0213658 + 0.207499i
\(745\) 415.082 612.200i 0.557157 0.821745i
\(746\) 61.8925 569.092i 0.0829659 0.762859i
\(747\) −532.932 684.648i −0.713430 0.916530i
\(748\) −23.3125 + 5.13146i −0.0311664 + 0.00686024i
\(749\) −1215.18 + 199.219i −1.62241 + 0.265980i
\(750\) 101.051 257.903i 0.134735 0.343870i
\(751\) 36.6615 + 132.043i 0.0488169 + 0.175823i 0.983940 0.178501i \(-0.0571249\pi\)