Properties

Label 354.3.h.a.5.4
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 5.4
Character \(\chi\) = 354.5
Dual form 354.3.h.a.71.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.451561 + 1.34018i) q^{2} +(-2.24157 - 1.99383i) q^{3} +(-1.59219 - 1.21035i) q^{4} +(-1.72634 - 0.687837i) q^{5} +(3.68430 - 2.10378i) q^{6} +(6.44007 - 2.97949i) q^{7} +(2.34106 - 1.58728i) q^{8} +(1.04928 + 8.93862i) q^{9} +O(q^{10})\) \(q+(-0.451561 + 1.34018i) q^{2} +(-2.24157 - 1.99383i) q^{3} +(-1.59219 - 1.21035i) q^{4} +(-1.72634 - 0.687837i) q^{5} +(3.68430 - 2.10378i) q^{6} +(6.44007 - 2.97949i) q^{7} +(2.34106 - 1.58728i) q^{8} +(1.04928 + 8.93862i) q^{9} +(1.70137 - 2.00301i) q^{10} +(-4.39328 - 1.21979i) q^{11} +(1.15577 + 5.88763i) q^{12} +(5.60427 - 10.5708i) q^{13} +(1.08499 + 9.97629i) q^{14} +(2.49828 + 4.98386i) q^{15} +(1.07011 + 3.85420i) q^{16} +(-5.70044 + 12.3213i) q^{17} +(-12.4532 - 2.63010i) q^{18} +(-4.78993 + 1.05434i) q^{19} +(1.91613 + 3.18464i) q^{20} +(-20.3765 - 6.16166i) q^{21} +(3.61857 - 5.33699i) q^{22} +(-14.7216 - 2.41348i) q^{23} +(-8.41241 - 1.10968i) q^{24} +(-15.6428 - 14.8176i) q^{25} +(11.6361 + 12.2841i) q^{26} +(15.4701 - 22.1287i) q^{27} +(-13.8600 - 3.05082i) q^{28} +(-0.344489 - 1.02241i) q^{29} +(-7.80742 + 1.09764i) q^{30} +(-49.8053 - 10.9630i) q^{31} +(-5.64856 - 0.306256i) q^{32} +(7.41579 + 11.4937i) q^{33} +(-13.9387 - 13.2035i) q^{34} +(-13.1671 + 0.713902i) q^{35} +(9.14820 - 15.5020i) q^{36} +(0.156427 - 0.230712i) q^{37} +(0.749929 - 6.89548i) q^{38} +(-33.6387 + 12.5212i) q^{39} +(-5.13325 + 1.12991i) q^{40} +(-64.0236 + 10.4961i) q^{41} +(17.4590 - 24.5259i) q^{42} +(-19.9320 - 71.7886i) q^{43} +(5.51855 + 7.25952i) q^{44} +(4.33690 - 16.1528i) q^{45} +(9.88219 - 18.6398i) q^{46} +(24.7503 - 9.86143i) q^{47} +(5.28589 - 10.7731i) q^{48} +(0.875155 - 1.03031i) q^{49} +(26.9220 - 14.2731i) q^{50} +(37.3445 - 16.2534i) q^{51} +(-21.7174 + 10.0475i) q^{52} +(-66.4903 + 56.4774i) q^{53} +(22.6708 + 30.7252i) q^{54} +(6.74527 + 5.12762i) q^{55} +(10.3473 - 17.1973i) q^{56} +(12.8391 + 7.18691i) q^{57} +1.52577 q^{58} +(57.2674 - 14.1931i) q^{59} +(2.05448 - 10.9590i) q^{60} +(19.2756 + 6.49470i) q^{61} +(37.1825 - 61.7979i) q^{62} +(33.3900 + 54.4390i) q^{63} +(2.96111 - 7.43181i) q^{64} +(-16.9458 + 14.3939i) q^{65} +(-18.7523 + 4.74843i) q^{66} +(25.2127 + 37.1860i) q^{67} +(23.9892 - 12.7183i) q^{68} +(28.1874 + 34.7623i) q^{69} +(4.98900 - 17.9688i) q^{70} +(-58.2621 + 23.2138i) q^{71} +(16.6445 + 19.2603i) q^{72} +(13.5972 - 1.47879i) q^{73} +(0.238560 + 0.313821i) q^{74} +(5.52056 + 64.4037i) q^{75} +(8.90257 + 4.11877i) q^{76} +(-31.9273 + 5.23422i) q^{77} +(-1.59078 - 50.7361i) q^{78} +(21.2783 - 12.8027i) q^{79} +(0.803681 - 7.38972i) q^{80} +(-78.7980 + 18.7583i) q^{81} +(14.8438 - 90.5430i) q^{82} +(-42.3273 + 2.29492i) q^{83} +(24.9854 + 34.4731i) q^{84} +(18.3159 - 17.3498i) q^{85} +(105.210 + 5.70434i) q^{86} +(-1.26631 + 2.97865i) q^{87} +(-12.2211 + 4.11775i) q^{88} +(-45.6652 - 135.529i) q^{89} +(19.6894 + 13.1062i) q^{90} +(4.59633 - 84.7744i) q^{91} +(20.5183 + 21.6609i) q^{92} +(89.7839 + 123.878i) q^{93} +(2.03986 + 37.6230i) q^{94} +(8.99425 + 1.47453i) q^{95} +(12.0510 + 11.9488i) q^{96} +(40.1913 + 4.37107i) q^{97} +(0.985622 + 1.63812i) q^{98} +(6.29343 - 40.5497i) 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
\(3\) −2.24157 1.99383i −0.747190 0.664610i
\(4\) −1.59219 1.21035i −0.398047 0.302587i
\(5\) −1.72634 0.687837i −0.345268 0.137567i 0.191057 0.981579i \(-0.438808\pi\)
−0.536325 + 0.844012i \(0.680188\pi\)
\(6\) 3.68430 2.10378i 0.614051 0.350630i
\(7\) 6.44007 2.97949i 0.920009 0.425642i 0.0980460 0.995182i \(-0.468741\pi\)
0.821963 + 0.569540i \(0.192879\pi\)
\(8\) 2.34106 1.58728i 0.292632 0.198410i
\(9\) 1.04928 + 8.93862i 0.116587 + 0.993180i
\(10\) 1.70137 2.00301i 0.170137 0.200301i
\(11\) −4.39328 1.21979i −0.399389 0.110890i 0.0620255 0.998075i \(-0.480244\pi\)
−0.461414 + 0.887185i \(0.652658\pi\)
\(12\) 1.15577 + 5.88763i 0.0963141 + 0.490636i
\(13\) 5.60427 10.5708i 0.431098 0.813137i −0.568859 0.822435i \(-0.692615\pi\)
0.999957 + 0.00929844i \(0.00295983\pi\)
\(14\) 1.08499 + 9.97629i 0.0774991 + 0.712592i
\(15\) 2.49828 + 4.98386i 0.166552 + 0.332257i
\(16\) 1.07011 + 3.85420i 0.0668821 + 0.240887i
\(17\) −5.70044 + 12.3213i −0.335320 + 0.724782i −0.999745 0.0225724i \(-0.992814\pi\)
0.664425 + 0.747355i \(0.268676\pi\)
\(18\) −12.4532 2.63010i −0.691845 0.146117i
\(19\) −4.78993 + 1.05434i −0.252101 + 0.0554917i −0.339223 0.940706i \(-0.610164\pi\)
0.0871217 + 0.996198i \(0.472233\pi\)
\(20\) 1.91613 + 3.18464i 0.0958066 + 0.159232i
\(21\) −20.3765 6.16166i −0.970308 0.293412i
\(22\) 3.61857 5.33699i 0.164480 0.242590i
\(23\) −14.7216 2.41348i −0.640068 0.104934i −0.166996 0.985958i \(-0.553407\pi\)
−0.473072 + 0.881024i \(0.656855\pi\)
\(24\) −8.41241 1.10968i −0.350517 0.0462366i
\(25\) −15.6428 14.8176i −0.625710 0.592704i
\(26\) 11.6361 + 12.2841i 0.447543 + 0.472465i
\(27\) 15.4701 22.1287i 0.572965 0.819580i
\(28\) −13.8600 3.05082i −0.495000 0.108958i
\(29\) −0.344489 1.02241i −0.0118789 0.0352555i 0.941550 0.336874i \(-0.109370\pi\)
−0.953429 + 0.301619i \(0.902473\pi\)
\(30\) −7.80742 + 1.09764i −0.260247 + 0.0365881i
\(31\) −49.8053 10.9630i −1.60662 0.353645i −0.681057 0.732230i \(-0.738480\pi\)
−0.925566 + 0.378585i \(0.876411\pi\)
\(32\) −5.64856 0.306256i −0.176517 0.00957050i
\(33\) 7.41579 + 11.4937i 0.224721 + 0.348294i
\(34\) −13.9387 13.2035i −0.409962 0.388337i
\(35\) −13.1671 + 0.713902i −0.376204 + 0.0203972i
\(36\) 9.14820 15.5020i 0.254117 0.430610i
\(37\) 0.156427 0.230712i 0.00422774 0.00623545i −0.825569 0.564301i \(-0.809146\pi\)
0.829797 + 0.558065i \(0.188456\pi\)
\(38\) 0.749929 6.89548i 0.0197350 0.181460i
\(39\) −33.6387 + 12.5212i −0.862531 + 0.321056i
\(40\) −5.13325 + 1.12991i −0.128331 + 0.0282478i
\(41\) −64.0236 + 10.4961i −1.56155 + 0.256003i −0.879715 0.475502i \(-0.842266\pi\)
−0.681836 + 0.731505i \(0.738818\pi\)
\(42\) 17.4590 24.5259i 0.415690 0.583949i
\(43\) −19.9320 71.7886i −0.463535 1.66950i −0.713036 0.701128i \(-0.752680\pi\)
0.249500 0.968375i \(-0.419734\pi\)
\(44\) 5.51855 + 7.25952i 0.125421 + 0.164989i
\(45\) 4.33690 16.1528i 0.0963755 0.358952i
\(46\) 9.88219 18.6398i 0.214830 0.405213i
\(47\) 24.7503 9.86143i 0.526603 0.209818i −0.0916584 0.995791i \(-0.529217\pi\)
0.618261 + 0.785973i \(0.287837\pi\)
\(48\) 5.28589 10.7731i 0.110123 0.224439i
\(49\) 0.875155 1.03031i 0.0178603 0.0210268i
\(50\) 26.9220 14.2731i 0.538439 0.285463i
\(51\) 37.3445 16.2534i 0.732246 0.318693i
\(52\) −21.7174 + 10.0475i −0.417642 + 0.193222i
\(53\) −66.4903 + 56.4774i −1.25453 + 1.06561i −0.259535 + 0.965734i \(0.583569\pi\)
−0.995000 + 0.0998775i \(0.968155\pi\)
\(54\) 22.6708 + 30.7252i 0.419830 + 0.568984i
\(55\) 6.74527 + 5.12762i 0.122641 + 0.0932295i
\(56\) 10.3473 17.1973i 0.184773 0.307095i
\(57\) 12.8391 + 7.18691i 0.225248 + 0.126086i
\(58\) 1.52577 0.0263064
\(59\) 57.2674 14.1931i 0.970634 0.240561i
\(60\) 2.05448 10.9590i 0.0342413 0.182651i
\(61\) 19.2756 + 6.49470i 0.315993 + 0.106470i 0.472829 0.881154i \(-0.343233\pi\)
−0.156836 + 0.987625i \(0.550129\pi\)
\(62\) 37.1825 61.7979i 0.599718 0.996740i
\(63\) 33.3900 + 54.4390i 0.530000 + 0.864111i
\(64\) 2.96111 7.43181i 0.0462673 0.116122i
\(65\) −16.9458 + 14.3939i −0.260705 + 0.221445i
\(66\) −18.7523 + 4.74843i −0.284126 + 0.0719459i
\(67\) 25.2127 + 37.1860i 0.376309 + 0.555015i 0.967936 0.251198i \(-0.0808244\pi\)
−0.591627 + 0.806212i \(0.701514\pi\)
\(68\) 23.9892 12.7183i 0.352783 0.187034i
\(69\) 28.1874 + 34.7623i 0.408513 + 0.503801i
\(70\) 4.98900 17.9688i 0.0712715 0.256697i
\(71\) −58.2621 + 23.2138i −0.820593 + 0.326954i −0.742377 0.669982i \(-0.766302\pi\)
−0.0782161 + 0.996936i \(0.524922\pi\)
\(72\) 16.6445 + 19.2603i 0.231174 + 0.267505i
\(73\) 13.5972 1.47879i 0.186263 0.0202574i −0.0145118 0.999895i \(-0.504619\pi\)
0.200775 + 0.979637i \(0.435654\pi\)
\(74\) 0.238560 + 0.313821i 0.00322379 + 0.00424082i
\(75\) 5.52056 + 64.4037i 0.0736075 + 0.858716i
\(76\) 8.90257 + 4.11877i 0.117139 + 0.0541943i
\(77\) −31.9273 + 5.23422i −0.414641 + 0.0679769i
\(78\) −1.59078 50.7361i −0.0203946 0.650463i
\(79\) 21.2783 12.8027i 0.269345 0.162060i −0.374474 0.927238i \(-0.622177\pi\)
0.643819 + 0.765178i \(0.277349\pi\)
\(80\) 0.803681 7.38972i 0.0100460 0.0923715i
\(81\) −78.7980 + 18.7583i −0.972815 + 0.231584i
\(82\) 14.8438 90.5430i 0.181022 1.10418i
\(83\) −42.3273 + 2.29492i −0.509967 + 0.0276496i −0.307328 0.951604i \(-0.599435\pi\)
−0.202640 + 0.979253i \(0.564952\pi\)
\(84\) 24.9854 + 34.4731i 0.297445 + 0.410394i
\(85\) 18.3159 17.3498i 0.215482 0.204115i
\(86\) 105.210 + 5.70434i 1.22338 + 0.0663296i
\(87\) −1.26631 + 2.97865i −0.0145553 + 0.0342374i
\(88\) −12.2211 + 4.11775i −0.138876 + 0.0467926i
\(89\) −45.6652 135.529i −0.513092 1.52280i −0.820740 0.571302i \(-0.806439\pi\)
0.307649 0.951500i \(-0.400458\pi\)
\(90\) 19.6894 + 13.1062i 0.218771 + 0.145625i
\(91\) 4.59633 84.7744i 0.0505092 0.931587i
\(92\) 20.5183 + 21.6609i 0.223025 + 0.235445i
\(93\) 89.7839 + 123.878i 0.965418 + 1.33202i
\(94\) 2.03986 + 37.6230i 0.0217006 + 0.400245i
\(95\) 8.99425 + 1.47453i 0.0946763 + 0.0155214i
\(96\) 12.0510 + 11.9488i 0.125531 + 0.124466i
\(97\) 40.1913 + 4.37107i 0.414344 + 0.0450626i 0.312917 0.949780i \(-0.398694\pi\)
0.101427 + 0.994843i \(0.467659\pi\)
\(98\) 0.985622 + 1.63812i 0.0100574 + 0.0167155i
\(99\) 6.29343 40.5497i 0.0635700 0.409593i
\(100\) 6.97171 + 42.5256i 0.0697171 + 0.425256i
\(101\) −21.8940 + 47.3232i −0.216773 + 0.468546i −0.985204 0.171386i \(-0.945176\pi\)
0.768431 + 0.639932i \(0.221038\pi\)
\(102\) 4.91918 + 57.3879i 0.0482272 + 0.562627i
\(103\) −30.1121 + 22.8906i −0.292351 + 0.222239i −0.741060 0.671438i \(-0.765677\pi\)
0.448710 + 0.893678i \(0.351884\pi\)
\(104\) −3.65882 33.6423i −0.0351810 0.323484i
\(105\) 30.9385 + 24.6528i 0.294652 + 0.234788i
\(106\) −45.6657 114.612i −0.430808 1.08125i
\(107\) 108.418 + 30.1022i 1.01326 + 0.281329i 0.734191 0.678943i \(-0.237562\pi\)
0.279065 + 0.960272i \(0.409975\pi\)
\(108\) −51.4146 + 16.5088i −0.476061 + 0.152859i
\(109\) −8.63436 16.2861i −0.0792143 0.149414i 0.840741 0.541438i \(-0.182120\pi\)
−0.919955 + 0.392024i \(0.871775\pi\)
\(110\) −9.91786 + 6.72447i −0.0901623 + 0.0611316i
\(111\) −0.810641 + 0.205269i −0.00730308 + 0.00184927i
\(112\) 18.3752 + 21.6329i 0.164064 + 0.193151i
\(113\) −116.498 46.4171i −1.03096 0.410771i −0.207551 0.978224i \(-0.566549\pi\)
−0.823405 + 0.567454i \(0.807929\pi\)
\(114\) −15.4294 + 13.9615i −0.135346 + 0.122469i
\(115\) 23.7544 + 14.2925i 0.206560 + 0.124283i
\(116\) −0.688979 + 2.04482i −0.00593947 + 0.0176277i
\(117\) 100.369 + 39.0027i 0.857852 + 0.333357i
\(118\) −6.83832 + 83.1579i −0.0579518 + 0.704728i
\(119\) 96.3344i 0.809533i
\(120\) 13.7594 + 7.70204i 0.114662 + 0.0641837i
\(121\) −85.8667 51.6643i −0.709642 0.426978i
\(122\) −17.4082 + 22.9001i −0.142690 + 0.187706i
\(123\) 164.441 + 104.124i 1.33692 + 0.846539i
\(124\) 66.0303 + 77.7369i 0.532503 + 0.626911i
\(125\) 36.3199 + 78.5041i 0.290559 + 0.628033i
\(126\) −88.0359 + 20.1662i −0.698698 + 0.160050i
\(127\) 38.2020 + 72.0565i 0.300803 + 0.567374i 0.987130 0.159918i \(-0.0511231\pi\)
−0.686327 + 0.727293i \(0.740778\pi\)
\(128\) 8.62288 + 7.32434i 0.0673662 + 0.0572214i
\(129\) −98.4553 + 200.660i −0.763219 + 1.55551i
\(130\) −11.6384 29.2103i −0.0895264 0.224694i
\(131\) 138.614 + 73.4883i 1.05812 + 0.560980i 0.904202 0.427104i \(-0.140466\pi\)
0.153917 + 0.988084i \(0.450811\pi\)
\(132\) 2.10404 27.2758i 0.0159397 0.206635i
\(133\) −27.7060 + 21.0616i −0.208316 + 0.158358i
\(134\) −61.2211 + 16.9980i −0.456874 + 0.126850i
\(135\) −41.9275 + 27.5607i −0.310574 + 0.204153i
\(136\) 6.21225 + 37.8931i 0.0456783 + 0.278625i
\(137\) −53.5916 243.469i −0.391180 1.77715i −0.600836 0.799372i \(-0.705166\pi\)
0.209657 0.977775i \(-0.432765\pi\)
\(138\) −59.3162 + 22.0790i −0.429827 + 0.159993i
\(139\) 73.8822 + 8.03517i 0.531527 + 0.0578070i 0.369947 0.929053i \(-0.379376\pi\)
0.161579 + 0.986860i \(0.448341\pi\)
\(140\) 21.8286 + 14.8002i 0.155919 + 0.105715i
\(141\) −75.1416 27.2428i −0.532919 0.193212i
\(142\) −4.80182 88.5644i −0.0338156 0.623693i
\(143\) −37.5152 + 39.6043i −0.262344 + 0.276953i
\(144\) −33.3284 + 13.6095i −0.231447 + 0.0945103i
\(145\) −0.108544 + 2.00198i −0.000748579 + 0.0138067i
\(146\) −4.15812 + 18.8906i −0.0284803 + 0.129387i
\(147\) −4.01599 + 0.564607i −0.0273197 + 0.00384087i
\(148\) −0.528302 + 0.178006i −0.00356961 + 0.00120274i
\(149\) −16.4124 + 74.5623i −0.110150 + 0.500418i 0.888950 + 0.458005i \(0.151436\pi\)
−0.999100 + 0.0424136i \(0.986495\pi\)
\(150\) −88.8057 21.6836i −0.592038 0.144557i
\(151\) 154.278 146.140i 1.02171 0.967812i 0.0222170 0.999753i \(-0.492928\pi\)
0.999490 + 0.0319412i \(0.0101689\pi\)
\(152\) −9.53996 + 10.0712i −0.0627629 + 0.0662580i
\(153\) −116.117 38.0256i −0.758934 0.248533i
\(154\) 7.40231 45.1521i 0.0480669 0.293195i
\(155\) 78.4402 + 53.1838i 0.506066 + 0.343121i
\(156\) 68.7141 + 20.7785i 0.440475 + 0.133196i
\(157\) −100.035 + 60.1893i −0.637169 + 0.383372i −0.797178 0.603744i \(-0.793675\pi\)
0.160010 + 0.987115i \(0.448847\pi\)
\(158\) 7.54956 + 34.2980i 0.0477820 + 0.217076i
\(159\) 261.649 + 5.97233i 1.64559 + 0.0375618i
\(160\) 9.54068 + 4.41399i 0.0596292 + 0.0275874i
\(161\) −101.999 + 28.3198i −0.633533 + 0.175900i
\(162\) 10.4425 114.074i 0.0644601 0.704163i
\(163\) −19.9447 + 2.16912i −0.122360 + 0.0133075i −0.169094 0.985600i \(-0.554084\pi\)
0.0467341 + 0.998907i \(0.485119\pi\)
\(164\) 114.641 + 60.7790i 0.699033 + 0.370604i
\(165\) −4.89640 24.9429i −0.0296751 0.151169i
\(166\) 16.0377 57.7627i 0.0966128 0.347968i
\(167\) 60.1436 + 51.0865i 0.360142 + 0.305907i 0.809129 0.587631i \(-0.199939\pi\)
−0.448987 + 0.893538i \(0.648215\pi\)
\(168\) −57.4827 + 17.9183i −0.342159 + 0.106657i
\(169\) 14.5072 + 21.3965i 0.0858412 + 0.126606i
\(170\) 14.9811 + 32.3812i 0.0881243 + 0.190478i
\(171\) −14.4504 41.7090i −0.0845050 0.243913i
\(172\) −55.1538 + 138.426i −0.320661 + 0.804799i
\(173\) 118.723 156.178i 0.686262 0.902762i −0.312628 0.949876i \(-0.601209\pi\)
0.998890 + 0.0471139i \(0.0150024\pi\)
\(174\) −3.42013 3.04213i −0.0196559 0.0174835i
\(175\) −144.889 48.8189i −0.827939 0.278965i
\(176\) 18.2379i 0.103624i
\(177\) −156.668 82.3666i −0.885128 0.465348i
\(178\) 202.255 1.13626
\(179\) 77.4284 229.799i 0.432561 1.28379i −0.480867 0.876793i \(-0.659678\pi\)
0.913428 0.407001i \(-0.133425\pi\)
\(180\) −26.4557 + 20.4692i −0.146976 + 0.113718i
\(181\) 3.71258 + 2.82223i 0.0205115 + 0.0155924i 0.615380 0.788231i \(-0.289003\pi\)
−0.594868 + 0.803823i \(0.702796\pi\)
\(182\) 111.538 + 44.4407i 0.612845 + 0.244180i
\(183\) −30.2583 52.9906i −0.165346 0.289566i
\(184\) −38.2949 + 17.7171i −0.208125 + 0.0962887i
\(185\) −0.428737 + 0.290691i −0.00231750 + 0.00157130i
\(186\) −206.562 + 64.3886i −1.11055 + 0.346175i
\(187\) 40.0730 47.1775i 0.214294 0.252286i
\(188\) −51.3429 14.2553i −0.273100 0.0758260i
\(189\) 33.6961 188.603i 0.178286 0.997899i
\(190\) −6.03759 + 11.3881i −0.0317768 + 0.0599374i
\(191\) −26.1242 240.208i −0.136776 1.25763i −0.838388 0.545074i \(-0.816501\pi\)
0.701612 0.712559i \(-0.252464\pi\)
\(192\) −21.4553 + 10.7550i −0.111746 + 0.0560156i
\(193\) 28.2083 + 101.597i 0.146157 + 0.526410i 0.999983 + 0.00585148i \(0.00186260\pi\)
−0.853826 + 0.520559i \(0.825724\pi\)
\(194\) −24.0069 + 51.8900i −0.123747 + 0.267474i
\(195\) 66.6844 + 1.52212i 0.341971 + 0.00780574i
\(196\) −2.64045 + 0.581206i −0.0134717 + 0.00296534i
\(197\) −114.354 190.058i −0.580477 0.964760i −0.998415 0.0562841i \(-0.982075\pi\)
0.417938 0.908475i \(-0.362753\pi\)
\(198\) 51.5023 + 26.7450i 0.260112 + 0.135076i
\(199\) −30.8818 + 45.5473i −0.155185 + 0.228881i −0.897332 0.441357i \(-0.854497\pi\)
0.742147 + 0.670237i \(0.233808\pi\)
\(200\) −60.1402 9.85949i −0.300701 0.0492975i
\(201\) 17.6264 133.625i 0.0876936 0.664800i
\(202\) −53.5353 50.7113i −0.265026 0.251046i
\(203\) −5.26479 5.55797i −0.0259349 0.0273792i
\(204\) −79.1317 19.3215i −0.387900 0.0947133i
\(205\) 117.746 + 25.9179i 0.574371 + 0.126429i
\(206\) −17.0802 50.6923i −0.0829137 0.246079i
\(207\) 6.12610 134.123i 0.0295947 0.647937i
\(208\) 46.7391 + 10.2881i 0.224707 + 0.0494618i
\(209\) 22.3295 + 1.21067i 0.106840 + 0.00579269i
\(210\) −47.0099 + 30.3310i −0.223857 + 0.144434i
\(211\) −37.0758 35.1201i −0.175715 0.166446i 0.594788 0.803883i \(-0.297236\pi\)
−0.770503 + 0.637437i \(0.779995\pi\)
\(212\) 174.222 9.44606i 0.821803 0.0445569i
\(213\) 176.883 + 64.1295i 0.830436 + 0.301077i
\(214\) −89.3000 + 131.708i −0.417290 + 0.615456i
\(215\) −14.9694 + 137.641i −0.0696252 + 0.640193i
\(216\) 1.09201 76.3597i 0.00505561 0.353517i
\(217\) −353.414 + 77.7923i −1.62864 + 0.358490i
\(218\) 25.7253 4.21746i 0.118006 0.0193461i
\(219\) −33.4276 23.7958i −0.152637 0.108656i
\(220\) −4.53352 16.3283i −0.0206069 0.0742194i
\(221\) 98.2989 + 129.310i 0.444791 + 0.585113i
\(222\) 0.0909553 1.17910i 0.000409709 0.00531126i
\(223\) 37.5090 70.7495i 0.168202 0.317263i −0.785054 0.619428i \(-0.787365\pi\)
0.953256 + 0.302165i \(0.0977095\pi\)
\(224\) −37.2896 + 14.8575i −0.166471 + 0.0663282i
\(225\) 116.035 155.373i 0.515713 0.690545i
\(226\) 114.813 135.169i 0.508024 0.598092i
\(227\) 16.7159 8.86223i 0.0736385 0.0390407i −0.431182 0.902265i \(-0.641903\pi\)
0.504821 + 0.863224i \(0.331559\pi\)
\(228\) −11.7436 26.9827i −0.0515071 0.118345i
\(229\) −116.025 + 53.6789i −0.506660 + 0.234406i −0.656530 0.754300i \(-0.727976\pi\)
0.149870 + 0.988706i \(0.452114\pi\)
\(230\) −29.8811 + 25.3813i −0.129918 + 0.110353i
\(231\) 82.0035 + 51.9248i 0.354994 + 0.224783i
\(232\) −2.42931 1.84672i −0.0104712 0.00795999i
\(233\) −33.1228 + 55.0506i −0.142158 + 0.236269i −0.919754 0.392496i \(-0.871612\pi\)
0.777596 + 0.628765i \(0.216439\pi\)
\(234\) −97.5934 + 116.900i −0.417066 + 0.499574i
\(235\) −49.5105 −0.210683
\(236\) −108.359 46.7154i −0.459148 0.197947i
\(237\) −73.2232 13.7271i −0.308959 0.0579202i
\(238\) −129.106 43.5008i −0.542461 0.182777i
\(239\) 204.004 339.058i 0.853574 1.41865i −0.0539010 0.998546i \(-0.517166\pi\)
0.907475 0.420105i \(-0.138007\pi\)
\(240\) −16.5354 + 14.9622i −0.0688973 + 0.0623424i
\(241\) 131.176 329.227i 0.544298 1.36609i −0.357494 0.933915i \(-0.616369\pi\)
0.901792 0.432170i \(-0.142252\pi\)
\(242\) 108.014 91.7477i 0.446338 0.379123i
\(243\) 214.032 + 115.062i 0.880791 + 0.473506i
\(244\) −22.8295 33.6709i −0.0935634 0.137996i
\(245\) −2.21950 + 1.17670i −0.00905919 + 0.00480288i
\(246\) −213.801 + 173.363i −0.869109 + 0.704726i
\(247\) −15.6988 + 56.5420i −0.0635580 + 0.228915i
\(248\) −133.998 + 53.3899i −0.540316 + 0.215282i
\(249\) 99.4553 + 79.2492i 0.399419 + 0.318270i
\(250\) −121.611 + 13.2259i −0.486442 + 0.0529038i
\(251\) −80.2201 105.528i −0.319602 0.420429i 0.608036 0.793909i \(-0.291957\pi\)
−0.927638 + 0.373480i \(0.878164\pi\)
\(252\) 12.7271 127.091i 0.0505042 0.504328i
\(253\) 61.7320 + 28.5603i 0.244000 + 0.112886i
\(254\) −113.819 + 18.6598i −0.448108 + 0.0734636i
\(255\) −75.6490 + 2.37189i −0.296663 + 0.00930153i
\(256\) −13.7097 + 8.24886i −0.0535536 + 0.0322221i
\(257\) −16.0841 + 147.891i −0.0625839 + 0.575450i 0.920299 + 0.391217i \(0.127946\pi\)
−0.982883 + 0.184233i \(0.941020\pi\)
\(258\) −224.463 222.558i −0.870012 0.862630i
\(259\) 0.319993 1.95187i 0.00123549 0.00753618i
\(260\) 44.4026 2.40744i 0.170779 0.00925938i
\(261\) 8.77746 4.15206i 0.0336301 0.0159083i
\(262\) −161.080 + 152.583i −0.614810 + 0.582379i
\(263\) −45.2118 2.45131i −0.171908 0.00932058i −0.0320160 0.999487i \(-0.510193\pi\)
−0.139892 + 0.990167i \(0.544676\pi\)
\(264\) 35.6045 + 15.1365i 0.134865 + 0.0573351i
\(265\) 153.632 51.7647i 0.579744 0.195338i
\(266\) −15.7154 46.6418i −0.0590806 0.175345i
\(267\) −167.861 + 394.847i −0.628692 + 1.47883i
\(268\) 4.86465 89.7232i 0.0181517 0.334788i
\(269\) 121.093 + 127.836i 0.450159 + 0.475227i 0.911089 0.412209i \(-0.135243\pi\)
−0.460930 + 0.887436i \(0.652484\pi\)
\(270\) −18.0036 68.6358i −0.0666800 0.254207i
\(271\) −7.19910 132.780i −0.0265649 0.489961i −0.981298 0.192496i \(-0.938342\pi\)
0.954733 0.297465i \(-0.0961412\pi\)
\(272\) −53.5889 8.78545i −0.197018 0.0322994i
\(273\) −179.329 + 180.863i −0.656882 + 0.662504i
\(274\) 350.493 + 38.1184i 1.27917 + 0.139118i
\(275\) 50.6486 + 84.1787i 0.184177 + 0.306104i
\(276\) −2.80506 89.4646i −0.0101633 0.324147i
\(277\) −50.6656 309.047i −0.182908 1.11569i −0.905478 0.424393i \(-0.860487\pi\)
0.722570 0.691298i \(-0.242961\pi\)
\(278\) −44.1309 + 95.3874i −0.158744 + 0.343120i
\(279\) 45.7341 456.694i 0.163922 1.63690i
\(280\) −29.6919 + 22.5712i −0.106042 + 0.0806114i
\(281\) −29.4843 271.104i −0.104926 0.964782i −0.921721 0.387854i \(-0.873217\pi\)
0.816795 0.576929i \(-0.195749\pi\)
\(282\) 70.4414 88.4018i 0.249792 0.313482i
\(283\) 2.31490 + 5.80995i 0.00817985 + 0.0205299i 0.933010 0.359851i \(-0.117172\pi\)
−0.924830 + 0.380380i \(0.875793\pi\)
\(284\) 120.861 + 33.5569i 0.425566 + 0.118158i
\(285\) −17.2213 21.2383i −0.0604256 0.0745203i
\(286\) −36.1367 68.1610i −0.126352 0.238325i
\(287\) −381.043 + 258.353i −1.32768 + 0.900186i
\(288\) −3.18942 50.8117i −0.0110744 0.176429i
\(289\) 67.7752 + 79.7912i 0.234516 + 0.276094i
\(290\) −2.63400 1.04948i −0.00908277 0.00361891i
\(291\) −81.3766 89.9328i −0.279645 0.309047i
\(292\) −23.4392 14.1029i −0.0802711 0.0482975i
\(293\) −147.627 + 438.141i −0.503846 + 1.49536i 0.330331 + 0.943865i \(0.392840\pi\)
−0.834177 + 0.551496i \(0.814057\pi\)
\(294\) 1.05678 5.63712i 0.00359451 0.0191739i
\(295\) −108.626 14.8885i −0.368222 0.0504694i
\(296\) 0.788402i 0.00266352i
\(297\) −94.9565 + 78.3471i −0.319719 + 0.263795i
\(298\) −92.5160 55.6651i −0.310457 0.186795i
\(299\) −108.016 + 142.093i −0.361258 + 0.475226i
\(300\) 69.1612 109.225i 0.230537 0.364082i
\(301\) −342.257 402.936i −1.13707 1.33866i
\(302\) 126.188 + 272.751i 0.417842 + 0.903150i
\(303\) 143.431 62.4253i 0.473371 0.206024i
\(304\) −9.18941 17.3331i −0.0302283 0.0570167i
\(305\) −28.8089 24.4705i −0.0944554 0.0802312i
\(306\) 103.395 138.447i 0.337892 0.452441i
\(307\) 70.9017 + 177.950i 0.230950 + 0.579642i 0.998086 0.0618435i \(-0.0196980\pi\)
−0.767136 + 0.641485i \(0.778319\pi\)
\(308\) 57.1695 + 30.3093i 0.185615 + 0.0984070i
\(309\) 113.139 + 8.72746i 0.366144 + 0.0282442i
\(310\) −106.697 + 81.1086i −0.344182 + 0.261641i
\(311\) −125.320 + 34.7949i −0.402957 + 0.111881i −0.463093 0.886310i \(-0.653260\pi\)
0.0601357 + 0.998190i \(0.480847\pi\)
\(312\) −58.8756 + 82.7067i −0.188704 + 0.265086i
\(313\) 97.9231 + 597.305i 0.312854 + 1.90832i 0.408227 + 0.912880i \(0.366147\pi\)
−0.0953736 + 0.995442i \(0.530405\pi\)
\(314\) −35.4927 161.245i −0.113034 0.513519i
\(315\) −20.1973 116.947i −0.0641186 0.371261i
\(316\) −49.3747 5.36983i −0.156249 0.0169931i
\(317\) −328.669 222.843i −1.03681 0.702975i −0.0809266 0.996720i \(-0.525788\pi\)
−0.955884 + 0.293745i \(0.905098\pi\)
\(318\) −126.154 + 347.961i −0.396712 + 1.09422i
\(319\) 0.266317 + 4.91193i 0.000834849 + 0.0153979i
\(320\) −10.2237 + 10.7931i −0.0319492 + 0.0337284i
\(321\) −183.009 283.644i −0.570121 0.883627i
\(322\) 8.10486 149.485i 0.0251704 0.464240i
\(323\) 14.3138 65.0283i 0.0443152 0.201326i
\(324\) 148.165 + 65.5064i 0.457300 + 0.202180i
\(325\) −244.300 + 82.3142i −0.751692 + 0.253274i
\(326\) 6.09922 27.7090i 0.0187093 0.0849971i
\(327\) −13.1172 + 53.7220i −0.0401139 + 0.164287i
\(328\) −133.223 + 126.195i −0.406166 + 0.384741i
\(329\) 130.012 137.252i 0.395172 0.417178i
\(330\) 35.6390 + 4.70114i 0.107997 + 0.0142459i
\(331\) −21.7414 + 132.617i −0.0656839 + 0.400654i 0.933437 + 0.358741i \(0.116794\pi\)
−0.999121 + 0.0419137i \(0.986655\pi\)
\(332\) 70.1706 + 47.5768i 0.211357 + 0.143304i
\(333\) 2.22638 + 1.15616i 0.00668583 + 0.00347194i
\(334\) −95.6238 + 57.5349i −0.286299 + 0.172260i
\(335\) −17.9478 81.5378i −0.0535756 0.243397i
\(336\) 1.94312 85.1287i 0.00578311 0.253359i
\(337\) 505.424 + 233.834i 1.49977 + 0.693869i 0.986410 0.164302i \(-0.0525373\pi\)
0.513363 + 0.858171i \(0.328399\pi\)
\(338\) −35.2261 + 9.78047i −0.104219 + 0.0289363i
\(339\) 168.591 + 336.325i 0.497318 + 0.992108i
\(340\) −50.1617 + 5.45541i −0.147534 + 0.0160453i
\(341\) 205.436 + 108.915i 0.602452 + 0.319400i
\(342\) 62.4230 0.531973i 0.182523 0.00155548i
\(343\) −90.4531 + 325.783i −0.263712 + 0.949804i
\(344\) −160.610 136.424i −0.466891 0.396580i
\(345\) −24.7502 79.3998i −0.0717397 0.230144i
\(346\) 155.696 + 229.635i 0.449989 + 0.663684i
\(347\) −13.4355 29.0403i −0.0387190 0.0836898i 0.887251 0.461287i \(-0.152612\pi\)
−0.925970 + 0.377598i \(0.876750\pi\)
\(348\) 5.62141 3.20989i 0.0161535 0.00922384i
\(349\) 14.7700 37.0698i 0.0423208 0.106217i −0.906297 0.422641i \(-0.861103\pi\)
0.948618 + 0.316424i \(0.102482\pi\)
\(350\) 130.853 172.134i 0.373865 0.491811i
\(351\) −147.219 287.545i −0.419426 0.819218i
\(352\) 24.4421 + 8.23550i 0.0694378 + 0.0233963i
\(353\) 457.110i 1.29493i 0.762096 + 0.647464i \(0.224170\pi\)
−0.762096 + 0.647464i \(0.775830\pi\)
\(354\) 181.131 172.770i 0.511670 0.488051i
\(355\) 116.547 0.328303
\(356\) −91.3303 + 271.059i −0.256546 + 0.761401i
\(357\) 192.074 215.940i 0.538024 0.604875i
\(358\) 273.010 + 207.536i 0.762597 + 0.579711i
\(359\) 150.322 + 59.8937i 0.418724 + 0.166835i 0.569978 0.821660i \(-0.306952\pi\)
−0.151254 + 0.988495i \(0.548331\pi\)
\(360\) −15.4861 44.6986i −0.0430169 0.124163i
\(361\) −305.803 + 141.480i −0.847100 + 0.391910i
\(362\) −5.45877 + 3.70113i −0.0150795 + 0.0102241i
\(363\) 89.4665 + 287.013i 0.246464 + 0.790669i
\(364\) −109.925 + 129.413i −0.301991 + 0.355531i
\(365\) −24.4906 6.79978i −0.0670975 0.0186295i
\(366\) 84.6805 16.6232i 0.231368 0.0454185i
\(367\) −147.940 + 279.045i −0.403107 + 0.760341i −0.999090 0.0426566i \(-0.986418\pi\)
0.595983 + 0.802997i \(0.296763\pi\)
\(368\) −6.45172 59.3226i −0.0175318 0.161203i
\(369\) −161.000 561.269i −0.436314 1.52105i
\(370\) −0.195979 0.705851i −0.000529672 0.00190771i
\(371\) −259.928 + 561.826i −0.700615 + 1.51435i
\(372\) 6.98253 305.906i 0.0187702 0.822328i
\(373\) 554.000 121.945i 1.48526 0.326929i 0.603015 0.797730i \(-0.293966\pi\)
0.882240 + 0.470800i \(0.156035\pi\)
\(374\) 45.1312 + 75.0087i 0.120672 + 0.200558i
\(375\) 75.1103 248.388i 0.200294 0.662369i
\(376\) 42.2891 62.3718i 0.112471 0.165882i
\(377\) −12.7383 2.08833i −0.0337885 0.00553934i
\(378\) 237.547 + 130.325i 0.628431 + 0.344774i
\(379\) 355.670 + 336.909i 0.938444 + 0.888941i 0.993985 0.109515i \(-0.0349298\pi\)
−0.0555413 + 0.998456i \(0.517688\pi\)
\(380\) −12.5358 13.2339i −0.0329890 0.0348261i
\(381\) 58.0361 237.688i 0.152326 0.623853i
\(382\) 333.720 + 73.4572i 0.873612 + 0.192296i
\(383\) −104.012 308.695i −0.271571 0.805993i −0.993480 0.114005i \(-0.963632\pi\)
0.721910 0.691987i \(-0.243265\pi\)
\(384\) −4.72531 33.6106i −0.0123055 0.0875276i
\(385\) 58.7177 + 12.9247i 0.152514 + 0.0335708i
\(386\) −148.897 8.07295i −0.385743 0.0209144i
\(387\) 620.777 253.491i 1.60408 0.655016i
\(388\) −58.7016 55.6051i −0.151293 0.143312i
\(389\) 371.058 20.1182i 0.953878 0.0517177i 0.429375 0.903126i \(-0.358734\pi\)
0.524503 + 0.851409i \(0.324251\pi\)
\(390\) −32.1519 + 88.6820i −0.0824409 + 0.227390i
\(391\) 113.657 167.631i 0.290682 0.428724i
\(392\) 0.413398 3.80113i 0.00105459 0.00969677i
\(393\) −164.189 441.101i −0.417784 1.12240i
\(394\) 306.350 67.4327i 0.777538 0.171149i
\(395\) −45.5397 + 7.46586i −0.115290 + 0.0189009i
\(396\) −59.0996 + 56.9455i −0.149242 + 0.143802i
\(397\) 44.1684 + 159.080i 0.111256 + 0.400706i 0.998118 0.0613279i \(-0.0195336\pi\)
−0.886862 + 0.462034i \(0.847120\pi\)
\(398\) −47.0967 61.9547i −0.118334 0.155665i
\(399\) 104.098 + 8.03010i 0.260898 + 0.0201256i
\(400\) 40.3705 76.1468i 0.100926 0.190367i
\(401\) −130.997 + 52.1938i −0.326675 + 0.130159i −0.527709 0.849425i \(-0.676949\pi\)
0.201034 + 0.979584i \(0.435570\pi\)
\(402\) 171.123 + 83.9624i 0.425678 + 0.208862i
\(403\) −395.010 + 465.042i −0.980173 + 1.15395i
\(404\) 92.1369 48.8479i 0.228062 0.120911i
\(405\) 148.935 + 21.8170i 0.367740 + 0.0538691i
\(406\) 9.82608 4.54603i 0.0242022 0.0111971i
\(407\) −0.968644 + 0.822774i −0.00237996 + 0.00202156i
\(408\) 61.6271 97.3262i 0.151047 0.238544i
\(409\) 108.173 + 82.2308i 0.264481 + 0.201053i 0.729007 0.684506i \(-0.239982\pi\)
−0.464526 + 0.885560i \(0.653775\pi\)
\(410\) −87.9042 + 146.098i −0.214400 + 0.356336i
\(411\) −365.307 + 652.606i −0.888824 + 1.58785i
\(412\) 75.6498 0.183616
\(413\) 326.518 262.032i 0.790600 0.634461i
\(414\) 176.983 + 68.7748i 0.427496 + 0.166123i
\(415\) 74.6498 + 25.1524i 0.179879 + 0.0606083i
\(416\) −34.8934 + 57.9933i −0.0838784 + 0.139407i
\(417\) −149.591 165.320i −0.358732 0.396451i
\(418\) −11.7057 + 29.3790i −0.0280040 + 0.0702847i
\(419\) 426.957 362.661i 1.01899 0.865539i 0.0280187 0.999607i \(-0.491080\pi\)
0.990972 + 0.134069i \(0.0428043\pi\)
\(420\) −19.4214 76.6982i −0.0462414 0.182615i
\(421\) 42.6737 + 62.9390i 0.101363 + 0.149499i 0.874988 0.484144i \(-0.160869\pi\)
−0.773625 + 0.633643i \(0.781559\pi\)
\(422\) 63.8093 33.8296i 0.151207 0.0801648i
\(423\) 114.118 + 210.886i 0.269782 + 0.498549i
\(424\) −66.0125 + 237.755i −0.155690 + 0.560744i
\(425\) 271.743 108.272i 0.639395 0.254758i
\(426\) −165.819 + 208.097i −0.389246 + 0.488491i
\(427\) 143.487 15.6051i 0.336035 0.0365460i
\(428\) −136.188 179.152i −0.318196 0.418580i
\(429\) 163.057 13.9770i 0.380087 0.0325803i
\(430\) −177.705 82.2152i −0.413268 0.191198i
\(431\) −331.320 + 54.3171i −0.768723 + 0.126026i −0.533368 0.845883i \(-0.679074\pi\)
−0.235356 + 0.971909i \(0.575626\pi\)
\(432\) 101.843 + 35.9445i 0.235748 + 0.0832049i
\(433\) −525.178 + 315.989i −1.21288 + 0.729767i −0.970660 0.240455i \(-0.922703\pi\)
−0.242221 + 0.970221i \(0.577876\pi\)
\(434\) 55.3318 508.767i 0.127493 1.17228i
\(435\) 4.23491 4.27115i 0.00973543 0.00981875i
\(436\) −5.96438 + 36.3811i −0.0136798 + 0.0834430i
\(437\) 73.0599 3.96119i 0.167185 0.00906451i
\(438\) 46.9853 34.0539i 0.107272 0.0777487i
\(439\) 516.321 489.085i 1.17613 1.11409i 0.184789 0.982778i \(-0.440840\pi\)
0.991341 0.131311i \(-0.0419187\pi\)
\(440\) 23.9300 + 1.29745i 0.0543864 + 0.00294875i
\(441\) 10.1279 + 6.74159i 0.0229657 + 0.0152871i
\(442\) −217.687 + 73.3473i −0.492505 + 0.165944i
\(443\) −111.571 331.130i −0.251852 0.747471i −0.996770 0.0803141i \(-0.974408\pi\)
0.744917 0.667157i \(-0.232489\pi\)
\(444\) 1.53914 + 0.654332i 0.00346653 + 0.00147372i
\(445\) −14.3885 + 265.380i −0.0323337 + 0.596359i
\(446\) 77.8798 + 82.2167i 0.174618 + 0.184342i
\(447\) 185.454 134.413i 0.414886 0.300701i
\(448\) −3.07332 56.6840i −0.00686008 0.126527i
\(449\) −626.168 102.655i −1.39458 0.228630i −0.582812 0.812607i \(-0.698048\pi\)
−0.811771 + 0.583977i \(0.801496\pi\)
\(450\) 155.831 + 225.669i 0.346291 + 0.501486i
\(451\) 294.076 + 31.9827i 0.652054 + 0.0709151i
\(452\) 129.306 + 214.908i 0.286075 + 0.475460i
\(453\) −637.202 + 19.9788i −1.40663 + 0.0441032i
\(454\) 4.32876 + 26.4043i 0.00953471 + 0.0581592i
\(455\) −66.2457 + 143.188i −0.145595 + 0.314699i
\(456\) 41.4648 3.55428i 0.0909315 0.00779447i
\(457\) 200.716 152.581i 0.439204 0.333875i −0.362092 0.932142i \(-0.617937\pi\)
0.801296 + 0.598268i \(0.204144\pi\)
\(458\) −19.5473 179.734i −0.0426796 0.392433i
\(459\) 184.468 + 316.754i 0.401890 + 0.690097i
\(460\) −20.5224 51.5074i −0.0446140 0.111973i
\(461\) 137.416 + 38.1533i 0.298082 + 0.0827620i 0.413350 0.910572i \(-0.364359\pi\)
−0.115268 + 0.993334i \(0.536773\pi\)
\(462\) −106.618 + 86.4526i −0.230776 + 0.187127i
\(463\) 405.892 + 765.593i 0.876657 + 1.65355i 0.749836 + 0.661624i \(0.230132\pi\)
0.126821 + 0.991926i \(0.459523\pi\)
\(464\) 3.57192 2.42182i 0.00769811 0.00521945i
\(465\) −69.7899 275.612i −0.150086 0.592713i
\(466\) −58.8209 69.2493i −0.126225 0.148604i
\(467\) 121.743 + 48.5067i 0.260691 + 0.103869i 0.496822 0.867852i \(-0.334500\pi\)
−0.236131 + 0.971721i \(0.575880\pi\)
\(468\) −112.599 183.581i −0.240595 0.392266i
\(469\) 273.167 + 164.359i 0.582445 + 0.350446i
\(470\) 22.3570 66.3532i 0.0475681 0.141177i
\(471\) 344.244 + 64.5350i 0.730879 + 0.137017i
\(472\) 111.538 124.126i 0.236309 0.262979i
\(473\) 339.700i 0.718182i
\(474\) 51.4615 91.9340i 0.108569 0.193954i
\(475\) 90.5505 + 54.4824i 0.190633 + 0.114700i
\(476\) 116.598 153.382i 0.244954 0.322232i
\(477\) −574.597 535.071i −1.20461 1.12174i
\(478\) 362.279 + 426.508i 0.757907 + 0.892277i
\(479\) −62.3426 134.751i −0.130152 0.281318i 0.831533 0.555475i \(-0.187463\pi\)
−0.961685 + 0.274157i \(0.911601\pi\)
\(480\) −12.5854 28.9168i −0.0262195 0.0602432i
\(481\) −1.56215 2.94652i −0.00324771 0.00612582i
\(482\) 381.990 + 324.466i 0.792511 + 0.673165i
\(483\) 285.103 + 139.887i 0.590275 + 0.289622i
\(484\) 74.1840 + 186.188i 0.153273 + 0.384686i
\(485\) −66.3773 35.1910i −0.136860 0.0725588i
\(486\) −250.853 + 234.885i −0.516157 + 0.483303i
\(487\) −741.247 + 563.481i −1.52207 + 1.15705i −0.583420 + 0.812171i \(0.698286\pi\)
−0.938648 + 0.344875i \(0.887921\pi\)
\(488\) 55.4341 15.3912i 0.113595 0.0315394i
\(489\) 49.0323 + 34.9041i 0.100271 + 0.0713785i
\(490\) −0.574762 3.50589i −0.00117298 0.00715488i
\(491\) −122.215 555.228i −0.248910 1.13081i −0.920762 0.390125i \(-0.872432\pi\)
0.671852 0.740686i \(-0.265499\pi\)
\(492\) −135.794 364.816i −0.276004 0.741496i
\(493\) 14.5611 + 1.58362i 0.0295358 + 0.00321221i
\(494\) −68.6878 46.5715i −0.139044 0.0942742i
\(495\) −38.7562 + 65.6738i −0.0782953 + 0.132674i
\(496\) −11.0438 203.691i −0.0222658 0.410668i
\(497\) −306.047 + 323.090i −0.615788 + 0.650080i
\(498\) −151.119 + 97.5026i −0.303451 + 0.195788i
\(499\) 45.4442 838.170i 0.0910706 1.67970i −0.494578 0.869133i \(-0.664677\pi\)
0.585648 0.810565i \(-0.300840\pi\)
\(500\) 37.1893 168.953i 0.0743787 0.337906i
\(501\) −32.9585 234.430i −0.0657854 0.467924i
\(502\) 177.651 59.8575i 0.353886 0.119238i
\(503\) 63.3516 287.809i 0.125947 0.572185i −0.870803 0.491632i \(-0.836400\pi\)
0.996750 0.0805528i \(-0.0256686\pi\)
\(504\) 164.578 + 74.4457i 0.326543 + 0.147710i
\(505\) 70.3471 66.6363i 0.139301 0.131953i
\(506\) −66.1517 + 69.8355i −0.130735 + 0.138015i
\(507\) 10.1421 76.8865i 0.0200041 0.151650i
\(508\) 26.3889 160.965i 0.0519466 0.316860i
\(509\) 148.068 + 100.393i 0.290900 + 0.197235i 0.697904 0.716191i \(-0.254116\pi\)
−0.407004 + 0.913426i \(0.633427\pi\)
\(510\) 30.9813 102.455i 0.0607477 0.200891i
\(511\) 83.1610 50.0363i 0.162742 0.0979185i
\(512\) −4.86423 22.0984i −0.00950044 0.0431609i
\(513\) −50.7693 + 122.305i −0.0989654 + 0.238412i
\(514\) −190.938 88.3372i −0.371474 0.171862i
\(515\) 67.7288 18.8048i 0.131512 0.0365142i
\(516\) 399.628 200.323i 0.774473 0.388224i
\(517\) −120.764 + 13.1339i −0.233586 + 0.0254040i
\(518\) 2.47137 + 1.31024i 0.00477098 + 0.00252942i
\(519\) −577.519 + 113.370i −1.11275 + 0.218438i
\(520\) −16.8241 + 60.5948i −0.0323539 + 0.116528i
\(521\) 126.227 + 107.218i 0.242278 + 0.205793i 0.760296 0.649577i \(-0.225054\pi\)
−0.518018 + 0.855370i \(0.673330\pi\)
\(522\) 1.60097 + 13.6383i 0.00306699 + 0.0261270i
\(523\) −433.286 639.050i −0.828464 1.22189i −0.972635 0.232340i \(-0.925362\pi\)
0.144171 0.989553i \(-0.453948\pi\)
\(524\) −131.752 284.778i −0.251436 0.543469i
\(525\) 227.443 + 398.316i 0.433225 + 0.758697i
\(526\) 23.7011 59.4852i 0.0450591 0.113090i
\(527\) 418.991 551.173i 0.795049 1.04587i
\(528\) −36.3632 + 40.8815i −0.0688697 + 0.0774271i
\(529\) −290.409 97.8501i −0.548977 0.184972i
\(530\) 229.270i 0.432585i
\(531\) 186.957 + 496.999i 0.352084 + 0.935968i
\(532\) 69.6050 0.130836
\(533\) −247.853 + 735.602i −0.465015 + 1.38012i
\(534\) −453.369 403.262i −0.849005 0.755172i
\(535\) −166.462 126.541i −0.311143 0.236525i
\(536\) 118.049 + 47.0350i 0.220240 + 0.0877518i
\(537\) −631.742 + 360.732i −1.17643 + 0.671755i
\(538\) −226.005 + 104.561i −0.420083 + 0.194351i
\(539\) −5.10156 + 3.45894i −0.00946486 + 0.00641733i
\(540\) 100.114 + 6.86509i 0.185397 + 0.0127131i
\(541\) 109.309 128.688i 0.202049 0.237871i −0.651800 0.758391i \(-0.725986\pi\)
0.853850 + 0.520520i \(0.174262\pi\)
\(542\) 181.200 + 50.3099i 0.334317 + 0.0928227i
\(543\) −2.69497 13.7285i −0.00496311 0.0252827i
\(544\) 35.9727 67.8518i 0.0661264 0.124728i
\(545\) 3.70364 + 34.0544i 0.00679567 + 0.0624852i
\(546\) −161.413 322.004i −0.295627 0.589751i
\(547\) −218.377 786.522i −0.399226 1.43788i −0.841136 0.540824i \(-0.818113\pi\)
0.441910 0.897060i \(-0.354301\pi\)
\(548\) −209.355 + 452.513i −0.382034 + 0.825753i
\(549\) −37.8282 + 179.112i −0.0689037 + 0.326251i
\(550\) −135.686 + 29.8667i −0.246702 + 0.0543031i
\(551\) 2.72805 + 4.53405i 0.00495108 + 0.00822876i
\(552\) 121.166 + 36.6394i 0.219503 + 0.0663757i
\(553\) 98.8879 145.849i 0.178821 0.263741i
\(554\) 437.058 + 71.6520i 0.788913 + 0.129336i
\(555\) 1.54063 + 0.203225i 0.00277592 + 0.000366170i
\(556\) −107.909 102.217i −0.194081 0.183843i
\(557\) −642.473 678.251i −1.15345 1.21769i −0.972176 0.234253i \(-0.924735\pi\)
−0.181277 0.983432i \(-0.558023\pi\)
\(558\) 591.403 + 267.517i 1.05986 + 0.479422i
\(559\) −870.566 191.626i −1.55736 0.342801i
\(560\) −16.8419 49.9849i −0.0300747 0.0892587i
\(561\) −183.890 + 25.8531i −0.327790 + 0.0460840i
\(562\) 376.643 + 82.9054i 0.670183 + 0.147518i
\(563\) 225.549 + 12.2289i 0.400621 + 0.0217210i 0.253349 0.967375i \(-0.418468\pi\)
0.147272 + 0.989096i \(0.452951\pi\)
\(564\) 86.6661 + 134.323i 0.153663 + 0.238162i
\(565\) 169.188 + 160.263i 0.299448 + 0.283652i
\(566\) −8.83172 + 0.478842i −0.0156038 + 0.000846011i
\(567\) −451.574 + 355.583i −0.796427 + 0.627130i
\(568\) −99.5484 + 146.823i −0.175261 + 0.258491i
\(569\) −120.770 + 1110.46i −0.212249 + 1.95160i 0.0839406 + 0.996471i \(0.473249\pi\)
−0.296190 + 0.955129i \(0.595716\pi\)
\(570\) 36.2397 13.4893i 0.0635783 0.0236655i
\(571\) −295.983 + 65.1508i −0.518359 + 0.114100i −0.466442 0.884552i \(-0.654464\pi\)
−0.0519176 + 0.998651i \(0.516533\pi\)
\(572\) 107.666 17.6510i 0.188228 0.0308584i
\(573\) −420.375 + 590.531i −0.733638 + 1.03059i
\(574\) −174.177 627.330i −0.303445 1.09291i
\(575\) 194.524 + 255.892i 0.338303 + 0.445029i
\(576\) 69.5372 + 18.6701i 0.120724 + 0.0324134i
\(577\) −290.679 + 548.279i −0.503777 + 0.950224i 0.493002 + 0.870028i \(0.335899\pi\)
−0.996779 + 0.0801958i \(0.974445\pi\)
\(578\) −137.539 + 54.8007i −0.237958 + 0.0948109i
\(579\) 139.337 283.980i 0.240650 0.490466i
\(580\) 2.59591 3.05614i 0.00447571 0.00526921i
\(581\) −265.753 + 140.893i −0.457406 + 0.242501i
\(582\) 157.273 68.4495i 0.270228 0.117611i
\(583\) 361.001 167.017i 0.619212 0.286478i
\(584\) 29.4847 25.0445i 0.0504874 0.0428844i
\(585\) −146.443 136.369i −0.250330 0.233110i
\(586\) −520.527 395.694i −0.888271 0.675246i
\(587\) −541.319 + 899.679i −0.922179 + 1.53267i −0.0777712 + 0.996971i \(0.524780\pi\)
−0.844407 + 0.535702i \(0.820047\pi\)
\(588\) 7.07757 + 3.96179i 0.0120367 + 0.00673773i
\(589\) 250.123 0.424656
\(590\) 69.0043 138.855i 0.116956 0.235348i
\(591\) −122.610 + 654.030i −0.207462 + 1.10665i
\(592\) 1.05660 + 0.356011i 0.00178480 + 0.000601370i
\(593\) −153.761 + 255.552i −0.259293 + 0.430948i −0.958969 0.283512i \(-0.908500\pi\)
0.699676 + 0.714461i \(0.253328\pi\)
\(594\) −62.1209 162.638i −0.104581 0.273801i
\(595\) 66.2623 166.306i 0.111365 0.279506i
\(596\) 116.378 98.8524i 0.195265 0.165860i
\(597\) 160.037 40.5244i 0.268069 0.0678800i
\(598\) −141.655 208.925i −0.236880 0.349373i
\(599\) −166.163 + 88.0939i −0.277400 + 0.147068i −0.601301 0.799023i \(-0.705351\pi\)
0.323900 + 0.946091i \(0.395006\pi\)
\(600\) 115.150 + 142.010i 0.191917 + 0.236684i
\(601\) 230.105 828.762i 0.382870 1.37897i −0.481646 0.876366i \(-0.659961\pi\)
0.864516 0.502606i \(-0.167625\pi\)
\(602\) 694.558 276.737i 1.15375 0.459697i
\(603\) −305.936 + 264.386i −0.507357 + 0.438450i
\(604\) −422.519 + 45.9517i −0.699534 + 0.0760789i
\(605\) 112.699 + 148.252i 0.186279 + 0.245045i
\(606\) 18.8934 + 220.413i 0.0311772 + 0.363718i
\(607\) 222.479 + 102.930i 0.366521 + 0.169571i 0.594501 0.804095i \(-0.297350\pi\)
−0.227979 + 0.973666i \(0.573212\pi\)
\(608\) 27.3791 4.48857i 0.0450314 0.00738252i
\(609\) 0.719751 + 22.9557i 0.00118186 + 0.0376941i
\(610\) 45.8039 27.5593i 0.0750884 0.0451792i
\(611\) 34.4645 316.896i 0.0564068 0.518652i
\(612\) 138.855 + 201.086i 0.226888 + 0.328571i
\(613\) −50.2412 + 306.458i −0.0819595 + 0.499931i 0.913664 + 0.406471i \(0.133241\pi\)
−0.995623 + 0.0934597i \(0.970207\pi\)
\(614\) −270.502 + 14.6662i −0.440557 + 0.0238863i
\(615\) −212.260 292.862i −0.345139 0.476199i
\(616\) −66.4356 + 62.9311i −0.107850 + 0.102161i
\(617\) 923.446 + 50.0678i 1.49667 + 0.0811471i 0.784180 0.620534i \(-0.213084\pi\)
0.712491 + 0.701681i \(0.247567\pi\)
\(618\) −62.7853 + 147.685i −0.101594 + 0.238973i
\(619\) −257.379 + 86.7209i −0.415797 + 0.140098i −0.519422 0.854518i \(-0.673853\pi\)
0.103624 + 0.994617i \(0.466956\pi\)
\(620\) −60.5205 179.618i −0.0976137 0.289707i
\(621\) −281.151 + 288.432i −0.452739 + 0.464464i
\(622\) 9.95795 183.664i 0.0160096 0.295279i
\(623\) −697.895 736.759i −1.12022 1.18260i
\(624\) −84.2564 116.251i −0.135026 0.186300i
\(625\) 20.4603 + 377.369i 0.0327366 + 0.603790i
\(626\) −844.717 138.484i −1.34939 0.221221i
\(627\) −47.6394 47.2351i −0.0759799 0.0753351i
\(628\) 232.125 + 25.2451i 0.369626 + 0.0401993i
\(629\) 1.95097 + 3.24254i 0.00310170 + 0.00515507i
\(630\) 165.851 + 25.7405i 0.263255 + 0.0408580i
\(631\) −79.7671 486.558i −0.126414 0.771090i −0.971602 0.236621i \(-0.923960\pi\)
0.845188 0.534469i \(-0.179488\pi\)
\(632\) 29.4922 63.7464i 0.0466649 0.100865i
\(633\) 13.0846 + 152.647i 0.0206708 + 0.241148i
\(634\) 447.065 339.850i 0.705149 0.536040i
\(635\) −16.3864 150.671i −0.0258054 0.237277i
\(636\) −409.366 326.196i −0.643657 0.512886i
\(637\) −5.98659 15.0252i −0.00939810 0.0235875i
\(638\) −6.70314 1.86112i −0.0105065 0.00291711i
\(639\) −268.632 496.425i −0.420395 0.776879i
\(640\) −9.84807 18.5754i −0.0153876 0.0290241i
\(641\) 350.118 237.386i 0.546206 0.370337i −0.256655 0.966503i \(-0.582620\pi\)
0.802861 + 0.596166i \(0.203310\pi\)
\(642\) 462.775 117.183i 0.720833 0.182528i
\(643\) 162.531 + 191.346i 0.252770 + 0.297584i 0.873882 0.486138i \(-0.161595\pi\)
−0.621112 + 0.783722i \(0.713319\pi\)
\(644\) 196.678 + 78.3637i 0.305401 + 0.121683i
\(645\) 307.989 278.687i 0.477502 0.432072i
\(646\) 80.6864 + 48.5474i 0.124901 + 0.0751507i
\(647\) −112.499 + 333.885i −0.173878 + 0.516052i −0.998788 0.0492121i \(-0.984329\pi\)
0.824910 + 0.565264i \(0.191226\pi\)
\(648\) −154.696 + 168.988i −0.238729 + 0.260785i
\(649\) −268.904 7.49977i −0.414336 0.0115559i
\(650\) 364.577i 0.560887i
\(651\) 947.307 + 530.270i 1.45516 + 0.814547i
\(652\) 34.3810 + 20.6864i 0.0527317 + 0.0317276i
\(653\) 437.013 574.881i 0.669239 0.880369i −0.328707 0.944432i \(-0.606613\pi\)
0.997946 + 0.0640632i \(0.0204059\pi\)
\(654\) −66.0741 41.8382i −0.101031 0.0639729i
\(655\) −188.746 222.209i −0.288162 0.339251i
\(656\) −108.967 235.528i −0.166108 0.359036i
\(657\) 27.4857 + 119.989i 0.0418351 + 0.182631i
\(658\) 125.234 + 236.217i 0.190326 + 0.358992i
\(659\) 413.600 + 351.315i 0.627618 + 0.533103i 0.903774 0.428009i \(-0.140785\pi\)
−0.276156 + 0.961113i \(0.589061\pi\)
\(660\) −22.3936 + 45.6400i −0.0339297 + 0.0691515i
\(661\) −455.430 1143.04i −0.689002 1.72926i −0.684221 0.729275i \(-0.739857\pi\)
−0.00478090 0.999989i \(-0.501522\pi\)
\(662\) −167.913 89.0219i −0.253645 0.134474i
\(663\) 37.4782 485.849i 0.0565282 0.732804i
\(664\) −95.4480 + 72.5577i −0.143747 + 0.109274i
\(665\) 62.3169 17.3022i 0.0937097 0.0260184i
\(666\) −2.55481 + 2.46169i −0.00383605 + 0.00369623i
\(667\) 2.60387 + 15.8829i 0.00390385 + 0.0238124i
\(668\) −33.9274 154.134i −0.0507896 0.230739i
\(669\) −225.142 + 83.8035i −0.336535 + 0.125267i
\(670\) 117.380 + 12.7659i 0.175194 + 0.0190535i
\(671\) −76.7608 52.0451i −0.114398 0.0775635i
\(672\) 113.211 + 41.0449i 0.168468 + 0.0610787i
\(673\) −10.2600 189.234i −0.0152451 0.281180i −0.996209 0.0869901i \(-0.972275\pi\)
0.980964 0.194189i \(-0.0622076\pi\)
\(674\) −541.610 + 571.770i −0.803575 + 0.848324i
\(675\) −569.888 + 116.924i −0.844279 + 0.173221i
\(676\) 2.79907 51.6259i 0.00414064 0.0763696i
\(677\) 252.309 1146.25i 0.372687 1.69314i −0.300596 0.953751i \(-0.597186\pi\)
0.673284 0.739384i \(-0.264883\pi\)
\(678\) −526.866 + 74.0720i −0.777088 + 0.109251i
\(679\) 271.859 91.5998i 0.400381 0.134904i
\(680\) 15.3398 69.6893i 0.0225585 0.102484i
\(681\) −55.1398 13.4634i −0.0809688 0.0197701i
\(682\) −238.733 + 226.140i −0.350049 + 0.331584i
\(683\) 612.997 647.133i 0.897507 0.947486i −0.101371 0.994849i \(-0.532323\pi\)
0.998878 + 0.0473622i \(0.0150815\pi\)
\(684\) −27.4748 + 83.8985i −0.0401679 + 0.122659i
\(685\) −74.9497 + 457.173i −0.109416 + 0.667405i
\(686\) −395.764 268.335i −0.576915 0.391158i
\(687\) 367.105 + 111.009i 0.534360 + 0.161585i
\(688\) 255.358 153.644i 0.371160 0.223320i
\(689\) 224.380 + 1019.37i 0.325661 + 1.47949i
\(690\) 117.587 + 2.68400i 0.170415 + 0.00388985i
\(691\) 423.710 + 196.029i 0.613183 + 0.283689i 0.701797 0.712377i \(-0.252381\pi\)
−0.0886134 + 0.996066i \(0.528244\pi\)
\(692\) −378.059 + 104.968i −0.546328 + 0.151687i
\(693\) −80.2875 279.894i −0.115855 0.403888i
\(694\) 44.9863 4.89256i 0.0648218 0.00704980i
\(695\) −122.019 64.6903i −0.175567 0.0930796i
\(696\) 1.76344 + 8.98319i 0.00253368 + 0.0129069i
\(697\) 235.637 848.686i 0.338073 1.21763i
\(698\) 43.0109 + 36.5338i 0.0616201 + 0.0523406i
\(699\) 184.009 57.3585i 0.263246 0.0820579i
\(700\) 171.603 + 253.095i 0.245147 + 0.361565i
\(701\) 350.246 + 757.044i 0.499638 + 1.07995i 0.979285 + 0.202488i \(0.0649026\pi\)
−0.479647 + 0.877461i \(0.659235\pi\)
\(702\) 451.842 67.4558i 0.643650 0.0960909i
\(703\) −0.506022 + 1.27002i −0.000719804 + 0.00180657i
\(704\) −22.0742 + 29.0381i −0.0313554 + 0.0412473i
\(705\) 110.981 + 98.7155i 0.157420 + 0.140022i
\(706\) −612.611 206.413i −0.867721 0.292369i
\(707\) 369.997i 0.523334i
\(708\) 149.752 + 320.765i 0.211514 + 0.453058i
\(709\) 386.258 0.544792 0.272396 0.962185i \(-0.412184\pi\)
0.272396 + 0.962185i \(0.412184\pi\)
\(710\) −52.6282 + 156.195i −0.0741243 + 0.219993i
\(711\) 136.766 + 176.765i 0.192357 + 0.248614i
\(712\) −322.027 244.799i −0.452286 0.343819i
\(713\) 706.754 + 281.597i 0.991240 + 0.394946i
\(714\) 202.667 + 354.925i 0.283847 + 0.497094i
\(715\) 92.0053 42.5662i 0.128679 0.0595331i
\(716\) −401.417 + 272.168i −0.560639 + 0.380123i
\(717\) −1133.31 + 353.272i −1.58063 + 0.492709i
\(718\) −148.148 + 174.413i −0.206334 + 0.242915i
\(719\) −664.675 184.546i −0.924444 0.256671i −0.227485 0.973782i \(-0.573050\pi\)
−0.696959 + 0.717111i \(0.745464\pi\)
\(720\) 66.8972 0.570103i 0.0929128 0.000791810i
\(721\) −125.722 + 237.136i −0.174371 + 0.328899i
\(722\) −51.5200 473.719i −0.0713574 0.656120i
\(723\) −950.462 + 476.442i −1.31461 + 0.658980i
\(724\) −2.49524 8.98704i −0.00344646 0.0124130i
\(725\) −9.76088 + 21.0978i −0.0134633 + 0.0291004i
\(726\) −425.050 9.70207i −0.585468 0.0133637i
\(727\) 65.3811 14.3915i 0.0899327 0.0197957i −0.169776 0.985483i \(-0.554304\pi\)
0.259709 + 0.965687i \(0.416373\pi\)
\(728\) −123.800 205.757i −0.170055 0.282634i
\(729\) −250.355 684.663i −0.343422 0.939181i
\(730\) 20.1719 29.7514i 0.0276328 0.0407553i
\(731\) 998.150 + 163.638i 1.36546 + 0.223856i
\(732\) −15.9603 + 120.994i −0.0218036 + 0.165292i
\(733\) −672.918 637.422i −0.918033 0.869607i 0.0737839 0.997274i \(-0.476493\pi\)
−0.991817 + 0.127667i \(0.959251\pi\)
\(734\) −307.168 324.273i −0.418485 0.441789i
\(735\) 7.32132 + 1.78764i 0.00996098 + 0.00243216i
\(736\) 82.4165 + 18.1412i 0.111979 + 0.0246484i
\(737\) −65.4075 194.122i −0.0887482 0.263395i
\(738\) 824.905 + 37.6777i 1.11776 + 0.0510539i
\(739\) −1267.56 279.012i −1.71524 0.377553i −0.754782 0.655976i \(-0.772257\pi\)
−0.960459 + 0.278423i \(0.910188\pi\)
\(740\) 1.03447 + 0.0560872i 0.00139793 + 7.57935e-5i
\(741\) 147.925 95.4422i 0.199629 0.128802i
\(742\) −635.576 602.050i −0.856572 0.811388i
\(743\) 854.776 46.3446i 1.15044 0.0623750i 0.530966 0.847393i \(-0.321829\pi\)
0.619473 + 0.785018i \(0.287346\pi\)
\(744\) 406.817 + 147.493i 0.546798 + 0.198243i
\(745\) 79.6201 117.431i 0.106873 0.157625i
\(746\) −86.7364 + 797.528i −0.116269 + 1.06907i
\(747\) −64.9267 375.940i −0.0869166 0.503266i
\(748\) −120.905 + 26.6132i −0.161638 + 0.0355791i
\(749\) 787.911 129.171i 1.05195 0.172459i
\(750\) 298.969 + 212.824i 0.398625 + 0.283765i
\(751\) −323.569 1165.39i −0.430851 1.55179i −0.786757