Properties

Label 570.2.s.b.221.10
Level $570$
Weight $2$
Character 570.221
Analytic conductor $4.551$
Analytic rank $0$
Dimension $24$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.s (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(12\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 221.10
Character \(\chi\) \(=\) 570.221
Dual form 570.2.s.b.521.10

$q$-expansion

\(f(q)\) \(=\) \(q+(0.500000 + 0.866025i) q^{2} +(1.32792 - 1.11204i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(0.866025 - 0.500000i) q^{5} +(1.62701 + 0.593994i) q^{6} -0.387589 q^{7} -1.00000 q^{8} +(0.526745 - 2.95339i) q^{9} +O(q^{10})\) \(q+(0.500000 + 0.866025i) q^{2} +(1.32792 - 1.11204i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(0.866025 - 0.500000i) q^{5} +(1.62701 + 0.593994i) q^{6} -0.387589 q^{7} -1.00000 q^{8} +(0.526745 - 2.95339i) q^{9} +(0.866025 + 0.500000i) q^{10} -6.28666i q^{11} +(0.299093 + 1.70603i) q^{12} +(5.96278 + 3.44261i) q^{13} +(-0.193795 - 0.335662i) q^{14} +(0.593994 - 1.62701i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(-4.63331 + 2.67504i) q^{17} +(2.82109 - 1.02052i) q^{18} +(0.936449 - 4.25712i) q^{19} +1.00000i q^{20} +(-0.514688 + 0.431014i) q^{21} +(5.44441 - 3.14333i) q^{22} +(5.57852 + 3.22076i) q^{23} +(-1.32792 + 1.11204i) q^{24} +(0.500000 - 0.866025i) q^{25} +6.88523i q^{26} +(-2.58481 - 4.50763i) q^{27} +(0.193795 - 0.335662i) q^{28} +(-2.15245 + 3.72815i) q^{29} +(1.70603 - 0.299093i) q^{30} +5.87016i q^{31} +(0.500000 - 0.866025i) q^{32} +(-6.99100 - 8.34818i) q^{33} +(-4.63331 - 2.67504i) q^{34} +(-0.335662 + 0.193795i) q^{35} +(2.29434 + 1.93287i) q^{36} +2.54580i q^{37} +(4.15500 - 1.31757i) q^{38} +(11.7464 - 2.05932i) q^{39} +(-0.866025 + 0.500000i) q^{40} +(1.40194 + 2.42823i) q^{41} +(-0.630613 - 0.230226i) q^{42} +(-0.588721 - 1.01969i) q^{43} +(5.44441 + 3.14333i) q^{44} +(-1.02052 - 2.82109i) q^{45} +6.44153i q^{46} +(-6.74336 - 3.89328i) q^{47} +(-1.62701 - 0.593994i) q^{48} -6.84977 q^{49} +1.00000 q^{50} +(-3.17792 + 8.70465i) q^{51} +(-5.96278 + 3.44261i) q^{52} +(1.97481 - 3.42047i) q^{53} +(2.61132 - 4.49233i) q^{54} +(-3.14333 - 5.44441i) q^{55} +0.387589 q^{56} +(-3.49055 - 6.69448i) q^{57} -4.30489 q^{58} +(-0.556791 - 0.964390i) q^{59} +(1.11204 + 1.32792i) q^{60} +(1.28373 - 2.22348i) q^{61} +(-5.08371 + 2.93508i) q^{62} +(-0.204161 + 1.14470i) q^{63} +1.00000 q^{64} +6.88523 q^{65} +(3.73424 - 10.2285i) q^{66} +(6.95760 + 4.01697i) q^{67} -5.35008i q^{68} +(10.9894 - 1.92661i) q^{69} +(-0.335662 - 0.193795i) q^{70} +(4.17799 + 7.23648i) q^{71} +(-0.526745 + 2.95339i) q^{72} +(-0.890700 - 1.54274i) q^{73} +(-2.20473 + 1.27290i) q^{74} +(-0.299093 - 1.70603i) q^{75} +(3.21855 + 2.93955i) q^{76} +2.43664i q^{77} +(7.65663 + 9.14304i) q^{78} +(-12.3862 + 7.15117i) q^{79} +(-0.866025 - 0.500000i) q^{80} +(-8.44508 - 3.11137i) q^{81} +(-1.40194 + 2.42823i) q^{82} -3.22583i q^{83} +(-0.115925 - 0.661239i) q^{84} +(-2.67504 + 4.63331i) q^{85} +(0.588721 - 1.01969i) q^{86} +(1.28756 + 7.34428i) q^{87} +6.28666i q^{88} +(-7.49847 + 12.9877i) q^{89} +(1.93287 - 2.29434i) q^{90} +(-2.31111 - 1.33432i) q^{91} +(-5.57852 + 3.22076i) q^{92} +(6.52784 + 7.79511i) q^{93} -7.78656i q^{94} +(-1.31757 - 4.15500i) q^{95} +(-0.299093 - 1.70603i) q^{96} +(-5.33880 + 3.08236i) q^{97} +(-3.42489 - 5.93208i) q^{98} +(-18.5670 - 3.31146i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q + 12q^{2} + 2q^{3} - 12q^{4} + 4q^{6} - 12q^{7} - 24q^{8} + 2q^{9} + O(q^{10}) \) \( 24q + 12q^{2} + 2q^{3} - 12q^{4} + 4q^{6} - 12q^{7} - 24q^{8} + 2q^{9} + 2q^{12} + 18q^{13} - 6q^{14} - 12q^{16} - 12q^{17} - 2q^{18} + 6q^{19} + 6q^{21} + 18q^{22} - 2q^{24} + 12q^{25} - 28q^{27} + 6q^{28} + 12q^{32} - 8q^{33} - 12q^{34} - 4q^{36} - 6q^{38} + 40q^{39} - 6q^{41} - 6q^{42} - 22q^{43} + 18q^{44} + 8q^{45} - 12q^{47} - 4q^{48} + 12q^{49} + 24q^{50} - 4q^{51} - 18q^{52} - 8q^{53} - 32q^{54} + 12q^{56} - 20q^{57} - 26q^{59} + 22q^{61} + 18q^{62} + 30q^{63} + 24q^{64} - 8q^{65} - 22q^{66} - 48q^{67} + 64q^{69} - 24q^{71} - 2q^{72} - 8q^{73} - 30q^{74} - 2q^{75} - 12q^{76} + 2q^{78} + 18q^{79} - 6q^{81} + 6q^{82} - 12q^{84} + 22q^{86} - 24q^{87} - 28q^{89} + 16q^{90} + 18q^{91} + 14q^{93} - 2q^{96} + 6q^{97} + 6q^{98} - 52q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{6}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.500000 + 0.866025i 0.353553 + 0.612372i
\(3\) 1.32792 1.11204i 0.766675 0.642035i
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) 0.866025 0.500000i 0.387298 0.223607i
\(6\) 1.62701 + 0.593994i 0.664225 + 0.242497i
\(7\) −0.387589 −0.146495 −0.0732475 0.997314i \(-0.523336\pi\)
−0.0732475 + 0.997314i \(0.523336\pi\)
\(8\) −1.00000 −0.353553
\(9\) 0.526745 2.95339i 0.175582 0.984465i
\(10\) 0.866025 + 0.500000i 0.273861 + 0.158114i
\(11\) 6.28666i 1.89550i −0.319015 0.947750i \(-0.603352\pi\)
0.319015 0.947750i \(-0.396648\pi\)
\(12\) 0.299093 + 1.70603i 0.0863406 + 0.492489i
\(13\) 5.96278 + 3.44261i 1.65378 + 0.954809i 0.975499 + 0.220006i \(0.0706076\pi\)
0.678280 + 0.734804i \(0.262726\pi\)
\(14\) −0.193795 0.335662i −0.0517938 0.0897095i
\(15\) 0.593994 1.62701i 0.153369 0.420093i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) −4.63331 + 2.67504i −1.12374 + 0.648793i −0.942354 0.334619i \(-0.891393\pi\)
−0.181389 + 0.983411i \(0.558059\pi\)
\(18\) 2.82109 1.02052i 0.664937 0.240540i
\(19\) 0.936449 4.25712i 0.214836 0.976650i
\(20\) 1.00000i 0.223607i
\(21\) −0.514688 + 0.431014i −0.112314 + 0.0940549i
\(22\) 5.44441 3.14333i 1.16075 0.670160i
\(23\) 5.57852 + 3.22076i 1.16320 + 0.671575i 0.952069 0.305882i \(-0.0989513\pi\)
0.211133 + 0.977457i \(0.432285\pi\)
\(24\) −1.32792 + 1.11204i −0.271061 + 0.226994i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) 6.88523i 1.35030i
\(27\) −2.58481 4.50763i −0.497447 0.867494i
\(28\) 0.193795 0.335662i 0.0366237 0.0634342i
\(29\) −2.15245 + 3.72815i −0.399699 + 0.692299i −0.993689 0.112173i \(-0.964219\pi\)
0.593989 + 0.804473i \(0.297552\pi\)
\(30\) 1.70603 0.299093i 0.311477 0.0546066i
\(31\) 5.87016i 1.05431i 0.849769 + 0.527156i \(0.176742\pi\)
−0.849769 + 0.527156i \(0.823258\pi\)
\(32\) 0.500000 0.866025i 0.0883883 0.153093i
\(33\) −6.99100 8.34818i −1.21698 1.45323i
\(34\) −4.63331 2.67504i −0.794606 0.458766i
\(35\) −0.335662 + 0.193795i −0.0567373 + 0.0327573i
\(36\) 2.29434 + 1.93287i 0.382390 + 0.322145i
\(37\) 2.54580i 0.418527i 0.977859 + 0.209264i \(0.0671067\pi\)
−0.977859 + 0.209264i \(0.932893\pi\)
\(38\) 4.15500 1.31757i 0.674030 0.213738i
\(39\) 11.7464 2.05932i 1.88093 0.329755i
\(40\) −0.866025 + 0.500000i −0.136931 + 0.0790569i
\(41\) 1.40194 + 2.42823i 0.218946 + 0.379226i 0.954486 0.298256i \(-0.0964048\pi\)
−0.735540 + 0.677481i \(0.763071\pi\)
\(42\) −0.630613 0.230226i −0.0973057 0.0355246i
\(43\) −0.588721 1.01969i −0.0897791 0.155502i 0.817639 0.575732i \(-0.195283\pi\)
−0.907418 + 0.420230i \(0.861949\pi\)
\(44\) 5.44441 + 3.14333i 0.820775 + 0.473875i
\(45\) −1.02052 2.82109i −0.152131 0.420543i
\(46\) 6.44153i 0.949751i
\(47\) −6.74336 3.89328i −0.983620 0.567893i −0.0802589 0.996774i \(-0.525575\pi\)
−0.903361 + 0.428881i \(0.858908\pi\)
\(48\) −1.62701 0.593994i −0.234839 0.0857356i
\(49\) −6.84977 −0.978539
\(50\) 1.00000 0.141421
\(51\) −3.17792 + 8.70465i −0.444997 + 1.21890i
\(52\) −5.96278 + 3.44261i −0.826889 + 0.477405i
\(53\) 1.97481 3.42047i 0.271261 0.469837i −0.697924 0.716172i \(-0.745893\pi\)
0.969185 + 0.246334i \(0.0792261\pi\)
\(54\) 2.61132 4.49233i 0.355355 0.611328i
\(55\) −3.14333 5.44441i −0.423846 0.734124i
\(56\) 0.387589 0.0517938
\(57\) −3.49055 6.69448i −0.462334 0.886706i
\(58\) −4.30489 −0.565260
\(59\) −0.556791 0.964390i −0.0724880 0.125553i 0.827503 0.561461i \(-0.189761\pi\)
−0.899991 + 0.435908i \(0.856427\pi\)
\(60\) 1.11204 + 1.32792i 0.143563 + 0.171434i
\(61\) 1.28373 2.22348i 0.164365 0.284688i −0.772065 0.635544i \(-0.780776\pi\)
0.936429 + 0.350856i \(0.114109\pi\)
\(62\) −5.08371 + 2.93508i −0.645632 + 0.372756i
\(63\) −0.204161 + 1.14470i −0.0257218 + 0.144219i
\(64\) 1.00000 0.125000
\(65\) 6.88523 0.854008
\(66\) 3.73424 10.2285i 0.459653 1.25904i
\(67\) 6.95760 + 4.01697i 0.850006 + 0.490751i 0.860653 0.509192i \(-0.170056\pi\)
−0.0106470 + 0.999943i \(0.503389\pi\)
\(68\) 5.35008i 0.648793i
\(69\) 10.9894 1.92661i 1.32297 0.231937i
\(70\) −0.335662 0.193795i −0.0401193 0.0231629i
\(71\) 4.17799 + 7.23648i 0.495836 + 0.858813i 0.999988 0.00480188i \(-0.00152849\pi\)
−0.504153 + 0.863614i \(0.668195\pi\)
\(72\) −0.526745 + 2.95339i −0.0620775 + 0.348061i
\(73\) −0.890700 1.54274i −0.104249 0.180564i 0.809182 0.587557i \(-0.199910\pi\)
−0.913431 + 0.406994i \(0.866577\pi\)
\(74\) −2.20473 + 1.27290i −0.256294 + 0.147972i
\(75\) −0.299093 1.70603i −0.0345362 0.196996i
\(76\) 3.21855 + 2.93955i 0.369193 + 0.337189i
\(77\) 2.43664i 0.277681i
\(78\) 7.65663 + 9.14304i 0.866943 + 1.03524i
\(79\) −12.3862 + 7.15117i −1.39355 + 0.804569i −0.993707 0.112012i \(-0.964270\pi\)
−0.399848 + 0.916581i \(0.630937\pi\)
\(80\) −0.866025 0.500000i −0.0968246 0.0559017i
\(81\) −8.44508 3.11137i −0.938342 0.345708i
\(82\) −1.40194 + 2.42823i −0.154818 + 0.268153i
\(83\) 3.22583i 0.354081i −0.984204 0.177040i \(-0.943348\pi\)
0.984204 0.177040i \(-0.0566523\pi\)
\(84\) −0.115925 0.661239i −0.0126485 0.0721471i
\(85\) −2.67504 + 4.63331i −0.290149 + 0.502553i
\(86\) 0.588721 1.01969i 0.0634834 0.109956i
\(87\) 1.28756 + 7.34428i 0.138041 + 0.787390i
\(88\) 6.28666i 0.670160i
\(89\) −7.49847 + 12.9877i −0.794836 + 1.37670i 0.128107 + 0.991760i \(0.459110\pi\)
−0.922943 + 0.384936i \(0.874223\pi\)
\(90\) 1.93287 2.29434i 0.203743 0.241845i
\(91\) −2.31111 1.33432i −0.242270 0.139875i
\(92\) −5.57852 + 3.22076i −0.581601 + 0.335788i
\(93\) 6.52784 + 7.79511i 0.676905 + 0.808315i
\(94\) 7.78656i 0.803122i
\(95\) −1.31757 4.15500i −0.135180 0.426294i
\(96\) −0.299093 1.70603i −0.0305260 0.174121i
\(97\) −5.33880 + 3.08236i −0.542073 + 0.312966i −0.745919 0.666037i \(-0.767989\pi\)
0.203846 + 0.979003i \(0.434656\pi\)
\(98\) −3.42489 5.93208i −0.345966 0.599230i
\(99\) −18.5670 3.31146i −1.86605 0.332815i
\(100\) 0.500000 + 0.866025i 0.0500000 + 0.0866025i
\(101\) −3.63539 2.09889i −0.361734 0.208847i 0.308107 0.951352i \(-0.400305\pi\)
−0.669841 + 0.742504i \(0.733638\pi\)
\(102\) −9.12741 + 1.60017i −0.903748 + 0.158441i
\(103\) 14.4685i 1.42562i 0.701356 + 0.712811i \(0.252578\pi\)
−0.701356 + 0.712811i \(0.747422\pi\)
\(104\) −5.96278 3.44261i −0.584699 0.337576i
\(105\) −0.230226 + 0.630613i −0.0224677 + 0.0615415i
\(106\) 3.94962 0.383621
\(107\) 2.46390 0.238194 0.119097 0.992883i \(-0.462000\pi\)
0.119097 + 0.992883i \(0.462000\pi\)
\(108\) 5.19613 + 0.0153044i 0.499998 + 0.00147267i
\(109\) 2.32388 1.34169i 0.222587 0.128511i −0.384561 0.923100i \(-0.625647\pi\)
0.607148 + 0.794589i \(0.292314\pi\)
\(110\) 3.14333 5.44441i 0.299705 0.519104i
\(111\) 2.83103 + 3.38062i 0.268709 + 0.320874i
\(112\) 0.193795 + 0.335662i 0.0183119 + 0.0317171i
\(113\) 0.146598 0.0137908 0.00689539 0.999976i \(-0.497805\pi\)
0.00689539 + 0.999976i \(0.497805\pi\)
\(114\) 4.05232 6.37014i 0.379534 0.596619i
\(115\) 6.44153 0.600675
\(116\) −2.15245 3.72815i −0.199850 0.346150i
\(117\) 13.3083 15.7971i 1.23035 1.46044i
\(118\) 0.556791 0.964390i 0.0512567 0.0887793i
\(119\) 1.79582 1.03682i 0.164623 0.0950449i
\(120\) −0.593994 + 1.62701i −0.0542240 + 0.148525i
\(121\) −28.5221 −2.59292
\(122\) 2.56746 0.232447
\(123\) 4.56195 + 1.66549i 0.411337 + 0.150172i
\(124\) −5.08371 2.93508i −0.456530 0.263578i
\(125\) 1.00000i 0.0894427i
\(126\) −1.09342 + 0.395544i −0.0974099 + 0.0352378i
\(127\) −14.1674 8.17952i −1.25715 0.725815i −0.284630 0.958638i \(-0.591871\pi\)
−0.972519 + 0.232822i \(0.925204\pi\)
\(128\) 0.500000 + 0.866025i 0.0441942 + 0.0765466i
\(129\) −1.91571 0.699393i −0.168669 0.0615781i
\(130\) 3.44261 + 5.96278i 0.301937 + 0.522971i
\(131\) −2.32705 + 1.34352i −0.203316 + 0.117384i −0.598201 0.801346i \(-0.704118\pi\)
0.394886 + 0.918730i \(0.370784\pi\)
\(132\) 10.7252 1.88029i 0.933512 0.163659i
\(133\) −0.362957 + 1.65001i −0.0314724 + 0.143074i
\(134\) 8.03394i 0.694027i
\(135\) −4.49233 2.61132i −0.386638 0.224747i
\(136\) 4.63331 2.67504i 0.397303 0.229383i
\(137\) 11.8037 + 6.81488i 1.00846 + 0.582234i 0.910740 0.412980i \(-0.135512\pi\)
0.0977189 + 0.995214i \(0.468845\pi\)
\(138\) 7.16322 + 8.55383i 0.609774 + 0.728151i
\(139\) 11.3319 19.6275i 0.961162 1.66478i 0.241572 0.970383i \(-0.422337\pi\)
0.719590 0.694399i \(-0.244330\pi\)
\(140\) 0.387589i 0.0327573i
\(141\) −13.2841 + 2.32890i −1.11872 + 0.196129i
\(142\) −4.17799 + 7.23648i −0.350609 + 0.607272i
\(143\) 21.6425 37.4860i 1.80984 3.13474i
\(144\) −2.82109 + 1.02052i −0.235091 + 0.0850436i
\(145\) 4.30489i 0.357502i
\(146\) 0.890700 1.54274i 0.0737148 0.127678i
\(147\) −9.09595 + 7.61721i −0.750222 + 0.628257i
\(148\) −2.20473 1.27290i −0.181228 0.104632i
\(149\) 2.36838 1.36738i 0.194025 0.112020i −0.399840 0.916585i \(-0.630934\pi\)
0.593866 + 0.804564i \(0.297601\pi\)
\(150\) 1.32792 1.11204i 0.108424 0.0907975i
\(151\) 5.03506i 0.409747i −0.978788 0.204874i \(-0.934322\pi\)
0.978788 0.204874i \(-0.0656784\pi\)
\(152\) −0.936449 + 4.25712i −0.0759560 + 0.345298i
\(153\) 5.45988 + 15.0931i 0.441405 + 1.22020i
\(154\) −2.11019 + 1.21832i −0.170044 + 0.0981751i
\(155\) 2.93508 + 5.08371i 0.235751 + 0.408333i
\(156\) −4.08978 + 11.2024i −0.327445 + 0.896906i
\(157\) 0.931580 + 1.61354i 0.0743482 + 0.128775i 0.900803 0.434229i \(-0.142979\pi\)
−0.826454 + 0.563004i \(0.809646\pi\)
\(158\) −12.3862 7.15117i −0.985392 0.568916i
\(159\) −1.18130 6.73817i −0.0936833 0.534372i
\(160\) 1.00000i 0.0790569i
\(161\) −2.16218 1.24833i −0.170403 0.0983824i
\(162\) −1.52801 8.86934i −0.120052 0.696841i
\(163\) −15.6424 −1.22521 −0.612604 0.790390i \(-0.709878\pi\)
−0.612604 + 0.790390i \(0.709878\pi\)
\(164\) −2.80388 −0.218946
\(165\) −10.2285 3.73424i −0.796286 0.290710i
\(166\) 2.79365 1.61291i 0.216829 0.125186i
\(167\) 2.58979 4.48565i 0.200404 0.347110i −0.748255 0.663412i \(-0.769108\pi\)
0.948659 + 0.316302i \(0.102441\pi\)
\(168\) 0.514688 0.431014i 0.0397090 0.0332534i
\(169\) 17.2032 + 29.7968i 1.32332 + 2.29206i
\(170\) −5.35008 −0.410333
\(171\) −12.0797 5.00812i −0.923756 0.382980i
\(172\) 1.17744 0.0897791
\(173\) −4.91408 8.51144i −0.373611 0.647113i 0.616507 0.787349i \(-0.288547\pi\)
−0.990118 + 0.140236i \(0.955214\pi\)
\(174\) −5.71655 + 4.78720i −0.433371 + 0.362917i
\(175\) −0.193795 + 0.335662i −0.0146495 + 0.0253737i
\(176\) −5.44441 + 3.14333i −0.410388 + 0.236937i
\(177\) −1.81181 0.661461i −0.136184 0.0497184i
\(178\) −14.9969 −1.12407
\(179\) 19.6374 1.46777 0.733884 0.679275i \(-0.237706\pi\)
0.733884 + 0.679275i \(0.237706\pi\)
\(180\) 2.95339 + 0.526745i 0.220133 + 0.0392612i
\(181\) −19.3105 11.1489i −1.43534 0.828691i −0.437815 0.899065i \(-0.644247\pi\)
−0.997521 + 0.0703737i \(0.977581\pi\)
\(182\) 2.66864i 0.197813i
\(183\) −0.767908 4.38017i −0.0567654 0.323791i
\(184\) −5.57852 3.22076i −0.411254 0.237438i
\(185\) 1.27290 + 2.20473i 0.0935855 + 0.162095i
\(186\) −3.48684 + 9.55083i −0.255667 + 0.700301i
\(187\) 16.8171 + 29.1280i 1.22979 + 2.13005i
\(188\) 6.74336 3.89328i 0.491810 0.283947i
\(189\) 1.00184 + 1.74711i 0.0728735 + 0.127084i
\(190\) 2.93955 3.21855i 0.213257 0.233498i
\(191\) 17.2742i 1.24992i 0.780658 + 0.624958i \(0.214884\pi\)
−0.780658 + 0.624958i \(0.785116\pi\)
\(192\) 1.32792 1.11204i 0.0958344 0.0802544i
\(193\) 8.44254 4.87430i 0.607707 0.350860i −0.164360 0.986400i \(-0.552556\pi\)
0.772068 + 0.635540i \(0.219223\pi\)
\(194\) −5.33880 3.08236i −0.383304 0.221300i
\(195\) 9.14304 7.65663i 0.654746 0.548303i
\(196\) 3.42489 5.93208i 0.244635 0.423720i
\(197\) 7.99412i 0.569557i −0.958593 0.284779i \(-0.908080\pi\)
0.958593 0.284779i \(-0.0919201\pi\)
\(198\) −6.41568 17.7352i −0.455943 1.26039i
\(199\) 2.50783 4.34368i 0.177775 0.307915i −0.763343 0.645993i \(-0.776443\pi\)
0.941118 + 0.338078i \(0.109777\pi\)
\(200\) −0.500000 + 0.866025i −0.0353553 + 0.0612372i
\(201\) 13.7062 2.40289i 0.966758 0.169487i
\(202\) 4.19778i 0.295355i
\(203\) 0.834265 1.44499i 0.0585539 0.101418i
\(204\) −5.94949 7.10448i −0.416548 0.497413i
\(205\) 2.42823 + 1.40194i 0.169595 + 0.0979157i
\(206\) −12.5301 + 7.23425i −0.873012 + 0.504034i
\(207\) 12.4506 14.7791i 0.865379 1.02722i
\(208\) 6.88523i 0.477405i
\(209\) −26.7631 5.88714i −1.85124 0.407222i
\(210\) −0.661239 + 0.115925i −0.0456299 + 0.00799959i
\(211\) −0.901047 + 0.520219i −0.0620306 + 0.0358134i −0.530695 0.847563i \(-0.678069\pi\)
0.468664 + 0.883377i \(0.344736\pi\)
\(212\) 1.97481 + 3.42047i 0.135630 + 0.234919i
\(213\) 13.5953 + 4.96340i 0.931533 + 0.340086i
\(214\) 1.23195 + 2.13380i 0.0842144 + 0.145864i
\(215\) −1.01969 0.588721i −0.0695426 0.0401504i
\(216\) 2.58481 + 4.50763i 0.175874 + 0.306706i
\(217\) 2.27521i 0.154451i
\(218\) 2.32388 + 1.34169i 0.157393 + 0.0908708i
\(219\) −2.89836 1.05814i −0.195853 0.0715025i
\(220\) 6.28666 0.423846
\(221\) −36.8365 −2.47789
\(222\) −1.51219 + 4.14205i −0.101492 + 0.277996i
\(223\) −3.44225 + 1.98738i −0.230510 + 0.133085i −0.610807 0.791779i \(-0.709155\pi\)
0.380297 + 0.924864i \(0.375822\pi\)
\(224\) −0.193795 + 0.335662i −0.0129484 + 0.0224274i
\(225\) −2.29434 1.93287i −0.152956 0.128858i
\(226\) 0.0732990 + 0.126958i 0.00487578 + 0.00844509i
\(227\) 20.9613 1.39125 0.695626 0.718404i \(-0.255127\pi\)
0.695626 + 0.718404i \(0.255127\pi\)
\(228\) 7.54286 + 0.324338i 0.499538 + 0.0214798i
\(229\) −8.17578 −0.540271 −0.270135 0.962822i \(-0.587068\pi\)
−0.270135 + 0.962822i \(0.587068\pi\)
\(230\) 3.22076 + 5.57852i 0.212371 + 0.367837i
\(231\) 2.70964 + 3.23567i 0.178281 + 0.212891i
\(232\) 2.15245 3.72815i 0.141315 0.244765i
\(233\) −3.05627 + 1.76454i −0.200223 + 0.115599i −0.596759 0.802420i \(-0.703545\pi\)
0.396537 + 0.918019i \(0.370212\pi\)
\(234\) 20.3348 + 3.62676i 1.32933 + 0.237089i
\(235\) −7.78656 −0.507939
\(236\) 1.11358 0.0724880
\(237\) −8.49550 + 23.2701i −0.551842 + 1.51155i
\(238\) 1.79582 + 1.03682i 0.116406 + 0.0672069i
\(239\) 15.8539i 1.02550i 0.858537 + 0.512751i \(0.171374\pi\)
−0.858537 + 0.512751i \(0.828626\pi\)
\(240\) −1.70603 + 0.299093i −0.110124 + 0.0193063i
\(241\) 3.16963 + 1.82999i 0.204174 + 0.117880i 0.598601 0.801047i \(-0.295724\pi\)
−0.394427 + 0.918927i \(0.629057\pi\)
\(242\) −14.2610 24.7009i −0.916735 1.58783i
\(243\) −14.6744 + 5.25960i −0.941360 + 0.337403i
\(244\) 1.28373 + 2.22348i 0.0821823 + 0.142344i
\(245\) −5.93208 + 3.42489i −0.378987 + 0.218808i
\(246\) 0.838620 + 4.78351i 0.0534684 + 0.304985i
\(247\) 20.2395 22.1604i 1.28781 1.41004i
\(248\) 5.87016i 0.372756i
\(249\) −3.58724 4.28364i −0.227332 0.271465i
\(250\) 0.866025 0.500000i 0.0547723 0.0316228i
\(251\) 9.75160 + 5.63009i 0.615516 + 0.355368i 0.775121 0.631813i \(-0.217689\pi\)
−0.159605 + 0.987181i \(0.551022\pi\)
\(252\) −0.889262 0.749160i −0.0560183 0.0471927i
\(253\) 20.2478 35.0703i 1.27297 2.20485i
\(254\) 16.3590i 1.02646i
\(255\) 1.60017 + 9.12741i 0.100207 + 0.571581i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −13.6499 + 23.6423i −0.851456 + 1.47477i 0.0284374 + 0.999596i \(0.490947\pi\)
−0.879894 + 0.475170i \(0.842386\pi\)
\(258\) −0.352164 2.00875i −0.0219248 0.125059i
\(259\) 0.986725i 0.0613121i
\(260\) −3.44261 + 5.96278i −0.213502 + 0.369796i
\(261\) 9.87690 + 8.32080i 0.611365 + 0.515045i
\(262\) −2.32705 1.34352i −0.143766 0.0830032i
\(263\) 16.4659 9.50659i 1.01533 0.586202i 0.102583 0.994724i \(-0.467289\pi\)
0.912748 + 0.408523i \(0.133956\pi\)
\(264\) 6.99100 + 8.34818i 0.430266 + 0.513795i
\(265\) 3.94962i 0.242623i
\(266\) −1.61043 + 0.510676i −0.0987419 + 0.0313116i
\(267\) 4.48547 + 25.5853i 0.274507 + 1.56579i
\(268\) −6.95760 + 4.01697i −0.425003 + 0.245376i
\(269\) 9.43473 + 16.3414i 0.575246 + 0.996355i 0.996015 + 0.0891869i \(0.0284268\pi\)
−0.420769 + 0.907168i \(0.638240\pi\)
\(270\) 0.0153044 5.19613i 0.000931395 0.316226i
\(271\) 9.90543 + 17.1567i 0.601712 + 1.04220i 0.992562 + 0.121741i \(0.0388478\pi\)
−0.390850 + 0.920454i \(0.627819\pi\)
\(272\) 4.63331 + 2.67504i 0.280936 + 0.162198i
\(273\) −4.55278 + 0.798171i −0.275547 + 0.0483075i
\(274\) 13.6298i 0.823403i
\(275\) −5.44441 3.14333i −0.328310 0.189550i
\(276\) −3.82623 + 10.4804i −0.230312 + 0.630849i
\(277\) 13.1915 0.792598 0.396299 0.918121i \(-0.370294\pi\)
0.396299 + 0.918121i \(0.370294\pi\)
\(278\) 22.6639 1.35929
\(279\) 17.3369 + 3.09208i 1.03793 + 0.185118i
\(280\) 0.335662 0.193795i 0.0200596 0.0115814i
\(281\) 8.39558 14.5416i 0.500838 0.867477i −0.499161 0.866509i \(-0.666359\pi\)
1.00000 0.000967983i \(-0.000308119\pi\)
\(282\) −8.65895 10.3399i −0.515633 0.615734i
\(283\) 3.98624 + 6.90437i 0.236958 + 0.410422i 0.959840 0.280549i \(-0.0905164\pi\)
−0.722882 + 0.690971i \(0.757183\pi\)
\(284\) −8.35597 −0.495836
\(285\) −6.37014 4.05232i −0.377335 0.240039i
\(286\) 43.2851 2.55950
\(287\) −0.543377 0.941156i −0.0320745 0.0555547i
\(288\) −2.29434 1.93287i −0.135195 0.113896i
\(289\) 5.81170 10.0662i 0.341864 0.592127i
\(290\) −3.72815 + 2.15245i −0.218924 + 0.126396i
\(291\) −3.66180 + 10.0301i −0.214659 + 0.587973i
\(292\) 1.78140 0.104249
\(293\) 4.52893 0.264583 0.132292 0.991211i \(-0.457766\pi\)
0.132292 + 0.991211i \(0.457766\pi\)
\(294\) −11.1447 4.06872i −0.649970 0.237293i
\(295\) −0.964390 0.556791i −0.0561489 0.0324176i
\(296\) 2.54580i 0.147972i
\(297\) −28.3380 + 16.2498i −1.64433 + 0.942911i
\(298\) 2.36838 + 1.36738i 0.137196 + 0.0792104i
\(299\) 22.1757 + 38.4094i 1.28245 + 2.22127i
\(300\) 1.62701 + 0.593994i 0.0939356 + 0.0342943i
\(301\) 0.228182 + 0.395223i 0.0131522 + 0.0227802i
\(302\) 4.36049 2.51753i 0.250918 0.144868i
\(303\) −7.16155 + 1.25553i −0.411420 + 0.0721281i
\(304\) −4.15500 + 1.31757i −0.238305 + 0.0755679i
\(305\) 2.56746i 0.147012i
\(306\) −10.3410 + 12.2749i −0.591157 + 0.701711i
\(307\) 20.5036 11.8378i 1.17020 0.675618i 0.216476 0.976288i \(-0.430544\pi\)
0.953728 + 0.300670i \(0.0972104\pi\)
\(308\) −2.11019 1.21832i −0.120239 0.0694203i
\(309\) 16.0895 + 19.2130i 0.915300 + 1.09299i
\(310\) −2.93508 + 5.08371i −0.166701 + 0.288735i
\(311\) 21.2557i 1.20530i −0.798006 0.602650i \(-0.794112\pi\)
0.798006 0.602650i \(-0.205888\pi\)
\(312\) −11.7464 + 2.05932i −0.665010 + 0.116586i
\(313\) 16.1860 28.0351i 0.914889 1.58463i 0.107826 0.994170i \(-0.465611\pi\)
0.807063 0.590465i \(-0.201056\pi\)
\(314\) −0.931580 + 1.61354i −0.0525721 + 0.0910575i
\(315\) 0.395544 + 1.09342i 0.0222864 + 0.0616074i
\(316\) 14.3023i 0.804569i
\(317\) −0.273517 + 0.473746i −0.0153623 + 0.0266082i −0.873604 0.486637i \(-0.838223\pi\)
0.858242 + 0.513245i \(0.171557\pi\)
\(318\) 5.24478 4.39212i 0.294112 0.246298i
\(319\) 23.4376 + 13.5317i 1.31225 + 0.757630i
\(320\) 0.866025 0.500000i 0.0484123 0.0279508i
\(321\) 3.27186 2.73995i 0.182618 0.152929i
\(322\) 2.49667i 0.139134i
\(323\) 7.04911 + 22.2296i 0.392223 + 1.23689i
\(324\) 6.91707 5.75797i 0.384281 0.319887i
\(325\) 5.96278 3.44261i 0.330756 0.190962i
\(326\) −7.82120 13.5467i −0.433176 0.750284i
\(327\) 1.59391 4.36590i 0.0881436 0.241435i
\(328\) −1.40194 2.42823i −0.0774091 0.134077i
\(329\) 2.61365 + 1.50899i 0.144095 + 0.0831935i
\(330\) −1.88029 10.7252i −0.103507 0.590405i
\(331\) 12.2880i 0.675410i −0.941252 0.337705i \(-0.890349\pi\)
0.941252 0.337705i \(-0.109651\pi\)
\(332\) 2.79365 + 1.61291i 0.153321 + 0.0885202i
\(333\) 7.51876 + 1.34099i 0.412025 + 0.0734857i
\(334\) 5.17958 0.283414
\(335\) 8.03394 0.438941
\(336\) 0.630613 + 0.230226i 0.0344027 + 0.0125598i
\(337\) 12.8425 7.41464i 0.699577 0.403901i −0.107613 0.994193i \(-0.534321\pi\)
0.807190 + 0.590292i \(0.200987\pi\)
\(338\) −17.2032 + 29.7968i −0.935730 + 1.62073i
\(339\) 0.194670 0.163022i 0.0105730 0.00885416i
\(340\) −2.67504 4.63331i −0.145074 0.251276i
\(341\) 36.9037 1.99845
\(342\) −1.70268 12.9654i −0.0920706 0.701087i
\(343\) 5.36802 0.289846
\(344\) 0.588721 + 1.01969i 0.0317417 + 0.0549782i
\(345\) 8.55383 7.16322i 0.460523 0.385655i
\(346\) 4.91408 8.51144i 0.264183 0.457578i
\(347\) −8.34699 + 4.81914i −0.448090 + 0.258705i −0.707023 0.707190i \(-0.749962\pi\)
0.258933 + 0.965895i \(0.416629\pi\)
\(348\) −7.00412 2.55708i −0.375460 0.137074i
\(349\) −25.2299 −1.35053 −0.675263 0.737577i \(-0.735970\pi\)
−0.675263 + 0.737577i \(0.735970\pi\)
\(350\) −0.387589 −0.0207175
\(351\) 0.105374 35.7765i 0.00562446 1.90961i
\(352\) −5.44441 3.14333i −0.290188 0.167540i
\(353\) 10.0563i 0.535241i 0.963524 + 0.267620i \(0.0862373\pi\)
−0.963524 + 0.267620i \(0.913763\pi\)
\(354\) −0.333064 1.89980i −0.0177022 0.100973i
\(355\) 7.23648 + 4.17799i 0.384073 + 0.221744i
\(356\) −7.49847 12.9877i −0.397418 0.688348i
\(357\) 1.23173 3.37383i 0.0651899 0.178562i
\(358\) 9.81870 + 17.0065i 0.518934 + 0.898821i
\(359\) 9.76791 5.63951i 0.515531 0.297642i −0.219573 0.975596i \(-0.570467\pi\)
0.735104 + 0.677954i \(0.237133\pi\)
\(360\) 1.02052 + 2.82109i 0.0537863 + 0.148684i
\(361\) −17.2461 7.97315i −0.907691 0.419639i
\(362\) 22.2978i 1.17195i
\(363\) −37.8751 + 31.7176i −1.98793 + 1.66474i
\(364\) 2.31111 1.33432i 0.121135 0.0699374i
\(365\) −1.54274 0.890700i −0.0807505 0.0466213i
\(366\) 3.40938 2.85511i 0.178211 0.149239i
\(367\) −13.2097 + 22.8799i −0.689540 + 1.19432i 0.282447 + 0.959283i \(0.408854\pi\)
−0.971987 + 0.235036i \(0.924479\pi\)
\(368\) 6.44153i 0.335788i
\(369\) 7.90999 2.86142i 0.411777 0.148960i
\(370\) −1.27290 + 2.20473i −0.0661750 + 0.114618i
\(371\) −0.765414 + 1.32574i −0.0397383 + 0.0688288i
\(372\) −10.0147 + 1.75572i −0.519237 + 0.0910299i
\(373\) 9.42090i 0.487796i −0.969801 0.243898i \(-0.921574\pi\)
0.969801 0.243898i \(-0.0784262\pi\)
\(374\) −16.8171 + 29.1280i −0.869590 + 1.50617i
\(375\) −1.11204 1.32792i −0.0574254 0.0685735i
\(376\) 6.74336 + 3.89328i 0.347762 + 0.200781i
\(377\) −25.6691 + 14.8201i −1.32203 + 0.763273i
\(378\) −1.01212 + 1.74118i −0.0520578 + 0.0895565i
\(379\) 18.4868i 0.949601i −0.880093 0.474801i \(-0.842520\pi\)
0.880093 0.474801i \(-0.157480\pi\)
\(380\) 4.25712 + 0.936449i 0.218386 + 0.0480388i
\(381\) −27.9091 + 4.89287i −1.42982 + 0.250669i
\(382\) −14.9599 + 8.63710i −0.765415 + 0.441912i
\(383\) −8.39580 14.5419i −0.429005 0.743059i 0.567780 0.823180i \(-0.307802\pi\)
−0.996785 + 0.0801217i \(0.974469\pi\)
\(384\) 1.62701 + 0.593994i 0.0830282 + 0.0303121i
\(385\) 1.21832 + 2.11019i 0.0620914 + 0.107545i
\(386\) 8.44254 + 4.87430i 0.429714 + 0.248096i
\(387\) −3.32167 + 1.20161i −0.168850 + 0.0610811i
\(388\) 6.16472i 0.312966i
\(389\) −3.31963 1.91659i −0.168312 0.0971748i 0.413478 0.910514i \(-0.364314\pi\)
−0.581790 + 0.813339i \(0.697647\pi\)
\(390\) 11.2024 + 4.08978i 0.567253 + 0.207094i
\(391\) −34.4627 −1.74285
\(392\) 6.84977 0.345966
\(393\) −1.59609 + 4.37186i −0.0805121 + 0.220531i
\(394\) 6.92311 3.99706i 0.348781 0.201369i
\(395\) −7.15117 + 12.3862i −0.359814 + 0.623217i
\(396\) 12.1513 14.4237i 0.610626 0.724821i
\(397\) 6.16028 + 10.6699i 0.309176 + 0.535508i 0.978182 0.207748i \(-0.0666135\pi\)
−0.669007 + 0.743257i \(0.733280\pi\)
\(398\) 5.01565 0.251412
\(399\) 1.35290 + 2.59471i 0.0677296 + 0.129898i
\(400\) −1.00000 −0.0500000
\(401\) 3.20325 + 5.54818i 0.159962 + 0.277063i 0.934855 0.355030i \(-0.115529\pi\)
−0.774892 + 0.632093i \(0.782196\pi\)
\(402\) 8.93405 + 10.6684i 0.445590 + 0.532093i
\(403\) −20.2087 + 35.0025i −1.00667 + 1.74360i
\(404\) 3.63539 2.09889i 0.180867 0.104424i
\(405\) −8.86934 + 1.52801i −0.440721 + 0.0759277i
\(406\) 1.66853 0.0828078
\(407\) 16.0046 0.793318
\(408\) 3.17792 8.70465i 0.157330 0.430945i
\(409\) −28.7986 16.6269i −1.42400 0.822147i −0.427363 0.904080i \(-0.640557\pi\)
−0.996638 + 0.0819327i \(0.973891\pi\)
\(410\) 2.80388i 0.138474i
\(411\) 23.2528 4.07656i 1.14698 0.201082i
\(412\) −12.5301 7.23425i −0.617313 0.356406i
\(413\) 0.215806 + 0.373787i 0.0106191 + 0.0183929i
\(414\) 19.0244 + 3.39304i 0.934997 + 0.166759i
\(415\) −1.61291 2.79365i −0.0791748 0.137135i
\(416\) 5.96278 3.44261i 0.292349 0.168788i
\(417\) −6.77860 38.6653i −0.331949 1.89345i
\(418\) −8.28312 26.1211i −0.405141 1.27762i
\(419\) 26.2177i 1.28082i −0.768034 0.640409i \(-0.778765\pi\)
0.768034 0.640409i \(-0.221235\pi\)
\(420\) −0.431014 0.514688i −0.0210313 0.0251142i
\(421\) 16.2792 9.39883i 0.793402 0.458071i −0.0477568 0.998859i \(-0.515207\pi\)
0.841159 + 0.540788i \(0.181874\pi\)
\(422\) −0.901047 0.520219i −0.0438623 0.0253239i
\(423\) −15.0504 + 17.8650i −0.731777 + 0.868628i
\(424\) −1.97481 + 3.42047i −0.0959052 + 0.166113i
\(425\) 5.35008i 0.259517i
\(426\) 2.49921 + 14.2556i 0.121087 + 0.690684i
\(427\) −0.497560 + 0.861799i −0.0240786 + 0.0417054i
\(428\) −1.23195 + 2.13380i −0.0595485 + 0.103141i
\(429\) −12.9463 73.8457i −0.625051 3.56531i
\(430\) 1.17744i 0.0567813i
\(431\) 16.8907 29.2555i 0.813595 1.40919i −0.0967380 0.995310i \(-0.530841\pi\)
0.910333 0.413877i \(-0.135826\pi\)
\(432\) −2.61132 + 4.49233i −0.125637 + 0.216137i
\(433\) 18.8094 + 10.8596i 0.903920 + 0.521879i 0.878470 0.477797i \(-0.158565\pi\)
0.0254504 + 0.999676i \(0.491898\pi\)
\(434\) 1.97039 1.13761i 0.0945818 0.0546068i
\(435\) 4.78720 + 5.71655i 0.229529 + 0.274088i
\(436\) 2.68338i 0.128511i
\(437\) 18.9352 20.7324i 0.905792 0.991763i
\(438\) −0.532803 3.03912i −0.0254583 0.145215i
\(439\) −4.46634 + 2.57864i −0.213167 + 0.123072i −0.602782 0.797906i \(-0.705941\pi\)
0.389616 + 0.920978i \(0.372608\pi\)
\(440\) 3.14333 + 5.44441i 0.149852 + 0.259552i
\(441\) −3.60808 + 20.2301i −0.171813 + 0.963338i
\(442\) −18.4183 31.9014i −0.876068 1.51739i
\(443\) −28.7183 16.5805i −1.36445 0.787765i −0.374237 0.927333i \(-0.622095\pi\)
−0.990212 + 0.139568i \(0.955429\pi\)
\(444\) −4.34322 + 0.761431i −0.206120 + 0.0361359i
\(445\) 14.9969i 0.710923i
\(446\) −3.44225 1.98738i −0.162995 0.0941053i
\(447\) 1.62444 4.44950i 0.0768332 0.210454i
\(448\) −0.387589 −0.0183119
\(449\) −28.6061 −1.35001 −0.675004 0.737815i \(-0.735858\pi\)
−0.675004 + 0.737815i \(0.735858\pi\)
\(450\) 0.526745 2.95339i 0.0248310 0.139224i
\(451\) 15.2655 8.81352i 0.718822 0.415012i
\(452\) −0.0732990 + 0.126958i −0.00344769 + 0.00597158i
\(453\) −5.59918 6.68616i −0.263072 0.314143i
\(454\) 10.4807 + 18.1530i 0.491882 + 0.851964i
\(455\) −2.66864 −0.125108
\(456\) 3.49055 + 6.69448i 0.163460 + 0.313498i
\(457\) 12.0944 0.565752 0.282876 0.959156i \(-0.408711\pi\)
0.282876 + 0.959156i \(0.408711\pi\)
\(458\) −4.08789 7.08043i −0.191015 0.330847i
\(459\) 24.0343 + 13.9708i 1.12183 + 0.652100i
\(460\) −3.22076 + 5.57852i −0.150169 + 0.260100i
\(461\) −23.9736 + 13.8412i −1.11656 + 0.644647i −0.940521 0.339736i \(-0.889662\pi\)
−0.176040 + 0.984383i \(0.556329\pi\)
\(462\) −1.44735 + 3.96445i −0.0673368 + 0.184443i
\(463\) 22.5239 1.04678 0.523388 0.852094i \(-0.324668\pi\)
0.523388 + 0.852094i \(0.324668\pi\)
\(464\) 4.30489 0.199850
\(465\) 9.55083 + 3.48684i 0.442909 + 0.161698i
\(466\) −3.05627 1.76454i −0.141579 0.0817407i
\(467\) 22.4617i 1.03940i −0.854348 0.519701i \(-0.826043\pi\)
0.854348 0.519701i \(-0.173957\pi\)
\(468\) 7.02653 + 19.4238i 0.324802 + 0.897867i
\(469\) −2.69669 1.55693i −0.124522 0.0718926i
\(470\) −3.89328 6.74336i −0.179584 0.311048i
\(471\) 3.03139 + 1.10671i 0.139679 + 0.0509943i
\(472\) 0.556791 + 0.964390i 0.0256284 + 0.0443896i
\(473\) −6.41047 + 3.70109i −0.294754 + 0.170176i
\(474\) −24.4002 + 4.27772i −1.12074 + 0.196482i
\(475\) −3.21855 2.93955i −0.147677 0.134876i
\(476\) 2.07363i 0.0950449i
\(477\) −9.06177 7.63410i −0.414910 0.349542i
\(478\) −13.7299 + 7.92694i −0.627989 + 0.362570i
\(479\) −14.0462 8.10959i −0.641788 0.370537i 0.143515 0.989648i \(-0.454160\pi\)
−0.785303 + 0.619111i \(0.787493\pi\)
\(480\) −1.11204 1.32792i −0.0507573 0.0606110i
\(481\) −8.76421 + 15.1801i −0.399614 + 0.692151i
\(482\) 3.65997i 0.166707i
\(483\) −4.25939 + 0.746734i −0.193809 + 0.0339776i
\(484\) 14.2610 24.7009i 0.648229 1.12277i
\(485\) −3.08236 + 5.33880i −0.139963 + 0.242423i
\(486\) −11.8921 10.0786i −0.539438 0.457173i
\(487\) 26.2560i 1.18977i −0.803809 0.594887i \(-0.797197\pi\)
0.803809 0.594887i \(-0.202803\pi\)
\(488\) −1.28373 + 2.22348i −0.0581117 + 0.100652i
\(489\) −20.7719 + 17.3949i −0.939337 + 0.786627i
\(490\) −5.93208 3.42489i −0.267984 0.154721i
\(491\) 20.1138 11.6127i 0.907723 0.524074i 0.0280250 0.999607i \(-0.491078\pi\)
0.879698 + 0.475533i \(0.157745\pi\)
\(492\) −3.72333 + 3.11802i −0.167861 + 0.140571i
\(493\) 23.0315i 1.03729i
\(494\) 29.3112 + 6.44766i 1.31878 + 0.290094i
\(495\) −17.7352 + 6.41568i −0.797139 + 0.288363i
\(496\) 5.08371 2.93508i 0.228265 0.131789i
\(497\) −1.61934 2.80478i −0.0726374 0.125812i
\(498\) 1.91612 5.24846i 0.0858635 0.235189i
\(499\) −5.68385 9.84472i −0.254444 0.440710i 0.710300 0.703899i \(-0.248559\pi\)
−0.964744 + 0.263189i \(0.915226\pi\)
\(500\) 0.866025 + 0.500000i 0.0387298 + 0.0223607i
\(501\) −1.54917 8.83653i −0.0692120 0.394787i
\(502\) 11.2602i 0.502567i
\(503\) −11.7374 6.77660i −0.523346 0.302154i 0.214957 0.976624i \(-0.431039\pi\)
−0.738302 + 0.674470i \(0.764372\pi\)
\(504\) 0.204161 1.14470i 0.00909403 0.0509892i
\(505\) −4.19778 −0.186799
\(506\) 40.4957 1.80025
\(507\) 55.9796 + 20.4372i 2.48614 + 0.907647i
\(508\) 14.1674 8.17952i 0.628575 0.362908i
\(509\) −15.5217 + 26.8843i −0.687986 + 1.19163i 0.284502 + 0.958675i \(0.408172\pi\)
−0.972488 + 0.232951i \(0.925162\pi\)
\(510\) −7.10448 + 5.94949i −0.314592 + 0.263448i
\(511\) 0.345226 + 0.597948i 0.0152719 + 0.0264517i
\(512\) −1.00000 −0.0441942
\(513\) −21.6101 + 6.78268i −0.954108 + 0.299463i
\(514\) −27.2998 −1.20414
\(515\) 7.23425 + 12.5301i 0.318779 + 0.552141i
\(516\) 1.56355 1.30936i 0.0688314 0.0576413i
\(517\) −24.4757 + 42.3932i −1.07644 + 1.86445i
\(518\) 0.854529 0.493363i 0.0375459 0.0216771i
\(519\) −15.9906 5.83787i −0.701908 0.256254i
\(520\) −6.88523 −0.301937
\(521\) 7.63094 0.334317 0.167159 0.985930i \(-0.446541\pi\)
0.167159 + 0.985930i \(0.446541\pi\)
\(522\) −2.26758 + 12.7140i −0.0992492 + 0.556479i
\(523\) −14.6044 8.43187i −0.638607 0.368700i 0.145471 0.989363i \(-0.453530\pi\)
−0.784078 + 0.620663i \(0.786864\pi\)
\(524\) 2.68705i 0.117384i
\(525\) 0.115925 + 0.661239i 0.00505939 + 0.0288589i
\(526\) 16.4659 + 9.50659i 0.717948 + 0.414507i
\(527\) −15.7029 27.1983i −0.684030 1.18477i
\(528\) −3.73424 + 10.2285i −0.162512 + 0.445137i
\(529\) 9.24662 + 16.0156i 0.402027 + 0.696331i
\(530\) 3.42047 1.97481i 0.148576 0.0857802i
\(531\) −3.14151 + 1.13644i −0.136330 + 0.0493171i
\(532\) −1.24747 1.13934i −0.0540849 0.0493965i
\(533\) 19.3053i 0.836207i
\(534\) −19.9147 + 16.6772i −0.861795 + 0.721691i
\(535\) 2.13380 1.23195i 0.0922522 0.0532618i
\(536\) −6.95760 4.01697i −0.300522 0.173507i
\(537\) 26.0769 21.8375i 1.12530 0.942359i
\(538\) −9.43473 + 16.3414i −0.406760 + 0.704529i
\(539\) 43.0622i 1.85482i
\(540\) 4.50763 2.58481i 0.193978 0.111233i
\(541\) −11.3322 + 19.6279i −0.487208 + 0.843869i −0.999892 0.0147085i \(-0.995318\pi\)
0.512684 + 0.858577i \(0.328651\pi\)
\(542\) −9.90543 + 17.1567i −0.425475 + 0.736944i
\(543\) −38.0408 + 6.66911i −1.63249 + 0.286199i
\(544\) 5.35008i 0.229383i
\(545\) 1.34169 2.32388i 0.0574717 0.0995440i
\(546\) −2.96763 3.54374i −0.127003 0.151658i
\(547\) −1.44092 0.831914i −0.0616091 0.0355701i 0.468879 0.883262i \(-0.344658\pi\)
−0.530488 + 0.847692i \(0.677991\pi\)
\(548\) −11.8037 + 6.81488i −0.504230 + 0.291117i
\(549\) −5.89063 4.96257i −0.251406 0.211797i
\(550\) 6.28666i 0.268064i
\(551\) 13.8555 + 12.6544i 0.590264 + 0.539097i
\(552\) −10.9894 + 1.92661i −0.467742 + 0.0820021i
\(553\) 4.80075 2.77172i 0.204149 0.117865i
\(554\) 6.59573 + 11.4241i 0.280226 + 0.485365i
\(555\) 4.14205 + 1.51219i 0.175820 + 0.0641889i
\(556\) 11.3319 + 19.6275i 0.480581 + 0.832391i
\(557\) 7.03591 + 4.06218i 0.298121 + 0.172120i 0.641599 0.767041i \(-0.278272\pi\)
−0.343477 + 0.939161i \(0.611605\pi\)
\(558\) 5.99063 + 16.5602i 0.253604 + 0.701051i
\(559\) 8.10695i 0.342888i
\(560\) 0.335662 + 0.193795i 0.0141843 + 0.00818932i
\(561\) 54.7232 + 19.9785i 2.31042 + 0.843492i
\(562\) 16.7912 0.708292
\(563\) −6.21069 −0.261749 −0.130875 0.991399i \(-0.541779\pi\)
−0.130875 + 0.991399i \(0.541779\pi\)
\(564\) 4.62517 12.6688i 0.194755 0.533454i
\(565\) 0.126958 0.0732990i 0.00534114 0.00308371i
\(566\) −3.98624 + 6.90437i −0.167554 + 0.290213i
\(567\) 3.27322 + 1.20593i 0.137462 + 0.0506444i
\(568\) −4.17799 7.23648i −0.175304 0.303636i
\(569\) −24.7474 −1.03747 −0.518733 0.854936i \(-0.673596\pi\)
−0.518733 + 0.854936i \(0.673596\pi\)
\(570\) 0.324338 7.54286i 0.0135850 0.315936i
\(571\) −2.91055 −0.121803 −0.0609014 0.998144i \(-0.519398\pi\)
−0.0609014 + 0.998144i \(0.519398\pi\)
\(572\) 21.6425 + 37.4860i 0.904920 + 1.56737i
\(573\) 19.2096 + 22.9388i 0.802491 + 0.958280i
\(574\) 0.543377 0.941156i 0.0226801 0.0392831i
\(575\) 5.57852 3.22076i 0.232641 0.134315i
\(576\) 0.526745 2.95339i 0.0219477 0.123058i
\(577\) 11.1520 0.464264 0.232132 0.972684i \(-0.425430\pi\)
0.232132 + 0.972684i \(0.425430\pi\)
\(578\) 11.6234 0.483469
\(579\) 5.79061 15.8611i 0.240650 0.659165i
\(580\) −3.72815 2.15245i −0.154803 0.0893755i
\(581\) 1.25030i 0.0518710i
\(582\) −10.5172 + 1.84382i −0.435952 + 0.0764289i
\(583\) −21.5033 12.4149i −0.890577 0.514175i
\(584\) 0.890700 + 1.54274i 0.0368574 + 0.0638389i
\(585\) 3.62676 20.3348i 0.149948 0.840740i
\(586\) 2.26447 + 3.92217i 0.0935443 + 0.162023i
\(587\) −28.0297 + 16.1829i −1.15691 + 0.667942i −0.950561 0.310537i \(-0.899491\pi\)
−0.206348 + 0.978479i \(0.566158\pi\)
\(588\) −2.04872 11.6859i −0.0844877 0.481920i
\(589\) 24.9900 + 5.49711i 1.02969 + 0.226504i
\(590\) 1.11358i 0.0458454i
\(591\) −8.88976 10.6156i −0.365676 0.436665i
\(592\) 2.20473 1.27290i 0.0906138 0.0523159i
\(593\) −11.3927 6.57758i −0.467842 0.270109i 0.247494 0.968889i \(-0.420393\pi\)
−0.715336 + 0.698781i \(0.753726\pi\)
\(594\) −28.2417 16.4165i −1.15877 0.673576i
\(595\) 1.03682 1.79582i 0.0425054 0.0736215i
\(596\) 2.73477i 0.112020i
\(597\) −1.50014 8.55686i −0.0613968 0.350209i
\(598\) −22.1757 + 38.4094i −0.906831 + 1.57068i
\(599\) 19.9168 34.4969i 0.813777 1.40950i −0.0964255 0.995340i \(-0.530741\pi\)
0.910203 0.414163i \(-0.135926\pi\)
\(600\) 0.299093 + 1.70603i 0.0122104 + 0.0696484i
\(601\) 2.09040i 0.0852692i −0.999091 0.0426346i \(-0.986425\pi\)
0.999091 0.0426346i \(-0.0135751\pi\)
\(602\) −0.228182 + 0.395223i −0.00930000 + 0.0161081i
\(603\) 15.5286 18.4326i 0.632373 0.750634i
\(604\) 4.36049 + 2.51753i 0.177426 + 0.102437i
\(605\) −24.7009 + 14.2610i −1.00423 + 0.579794i
\(606\) −4.66809 5.57432i −0.189628 0.226441i
\(607\) 5.53538i 0.224674i 0.993670 + 0.112337i \(0.0358336\pi\)
−0.993670 + 0.112337i \(0.964166\pi\)
\(608\) −3.21855 2.93955i −0.130529 0.119214i
\(609\) −0.499045 2.84656i −0.0202223 0.115349i
\(610\) 2.22348 1.28373i 0.0900263 0.0519767i
\(611\) −26.8061 46.4296i −1.08446 1.87834i
\(612\) −15.8009 2.81813i −0.638714 0.113916i
\(613\) −10.6274 18.4073i −0.429238 0.743462i 0.567568 0.823327i \(-0.307885\pi\)
−0.996806 + 0.0798646i \(0.974551\pi\)
\(614\) 20.5036 + 11.8378i 0.827459 + 0.477734i
\(615\) 4.78351 0.838620i 0.192890 0.0338164i
\(616\) 2.43664i 0.0981751i
\(617\) −3.00091 1.73258i −0.120812 0.0697509i 0.438376 0.898792i \(-0.355554\pi\)
−0.559188 + 0.829041i \(0.688887\pi\)
\(618\) −8.59420 + 23.5404i −0.345709 + 0.946935i
\(619\) 20.0769 0.806960 0.403480 0.914989i \(-0.367801\pi\)
0.403480 + 0.914989i \(0.367801\pi\)
\(620\) −5.87016 −0.235751
\(621\) 0.0985836 33.4710i 0.00395602 1.34315i
\(622\) 18.4080 10.6278i 0.738092 0.426138i
\(623\) 2.90633 5.03390i 0.116440 0.201679i
\(624\) −7.65663 9.14304i −0.306511 0.366014i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) 32.3721 1.29385
\(627\) −42.0859 + 21.9439i −1.68075 + 0.876354i
\(628\) −1.86316 −0.0743482
\(629\) −6.81012 11.7955i −0.271537 0.470317i
\(630\) −0.749160 + 0.889262i −0.0298473 + 0.0354291i
\(631\) −3.03717 + 5.26053i −0.120908 + 0.209418i −0.920126 0.391623i \(-0.871914\pi\)
0.799218 + 0.601041i \(0.205247\pi\)
\(632\) 12.3862 7.15117i 0.492696 0.284458i
\(633\) −0.618014 + 1.69281i −0.0245639 + 0.0672831i
\(634\) −0.547035 −0.0217255
\(635\) −16.3590 −0.649189
\(636\) 6.42608 + 2.34605i 0.254811 + 0.0930269i
\(637\) −40.8437 23.5811i −1.61829 0.934319i
\(638\) 27.0634i 1.07145i
\(639\) 23.5729 8.52746i 0.932530 0.337341i
\(640\) 0.866025 + 0.500000i 0.0342327 + 0.0197642i
\(641\) 2.26142 + 3.91689i 0.0893206 + 0.154708i 0.907224 0.420648i \(-0.138197\pi\)
−0.817904 + 0.575355i \(0.804864\pi\)
\(642\) 4.00880 + 1.46354i 0.158215 + 0.0577614i
\(643\) 5.12601 + 8.87852i 0.202150 + 0.350135i 0.949221 0.314610i \(-0.101874\pi\)
−0.747071 + 0.664745i \(0.768540\pi\)
\(644\) 2.16218 1.24833i 0.0852017 0.0491912i
\(645\) −2.00875 + 0.352164i −0.0790945 + 0.0138664i
\(646\) −15.7268 + 17.2195i −0.618764 + 0.677492i
\(647\) 32.4311i 1.27500i 0.770451 + 0.637500i \(0.220031\pi\)
−0.770451 + 0.637500i \(0.779969\pi\)
\(648\) 8.44508 + 3.11137i 0.331754 + 0.122226i
\(649\) −6.06279 + 3.50035i −0.237985 + 0.137401i
\(650\) 5.96278 + 3.44261i 0.233880 + 0.135030i
\(651\) −2.53012 3.02130i −0.0991632 0.118414i
\(652\) 7.82120 13.5467i 0.306302 0.530531i
\(653\) 34.6967i 1.35778i −0.734238 0.678892i \(-0.762460\pi\)
0.734238 0.678892i \(-0.237540\pi\)
\(654\) 4.57793 0.802580i 0.179011 0.0313834i
\(655\) −1.34352 + 2.32705i −0.0524958 + 0.0909255i
\(656\) 1.40194 2.42823i 0.0547365 0.0948065i
\(657\) −5.02548 + 1.81796i −0.196063 + 0.0709253i
\(658\) 3.01799i 0.117653i
\(659\) −3.29288 + 5.70344i −0.128272 + 0.222174i −0.923007 0.384782i \(-0.874277\pi\)
0.794735 + 0.606957i \(0.207610\pi\)
\(660\) 8.34818 6.99100i 0.324953 0.272124i
\(661\) 33.4091 + 19.2887i 1.29946 + 0.750245i 0.980311 0.197458i \(-0.0632687\pi\)
0.319152 + 0.947704i \(0.396602\pi\)
\(662\) 10.6417 6.14400i 0.413602 0.238793i
\(663\) −48.9160 + 40.9636i −1.89974 + 1.59090i
\(664\) 3.22583i 0.125186i
\(665\) 0.510676 + 1.61043i 0.0198032 + 0.0624499i
\(666\) 2.59805 + 7.18193i 0.100672 + 0.278294i
\(667\) −24.0149 + 13.8650i −0.929862 + 0.536856i
\(668\) 2.58979 + 4.48565i 0.100202 + 0.173555i
\(669\) −2.36099 + 6.46699i −0.0912810 + 0.250028i
\(670\) 4.01697 + 6.95760i 0.155189 + 0.268795i
\(671\) −13.9783 8.07037i −0.539626 0.311553i
\(672\) 0.115925 + 0.661239i 0.00447191 + 0.0255079i
\(673\) 27.8104i 1.07201i 0.844214 + 0.536006i \(0.180068\pi\)
−0.844214 + 0.536006i \(0.819932\pi\)
\(674\) 12.8425 + 7.41464i 0.494676 + 0.285601i
\(675\) −5.19613 0.0153044i −0.199999 0.000589066i
\(676\) −34.4064 −1.32332
\(677\) 20.4612 0.786387 0.393193 0.919456i \(-0.371370\pi\)
0.393193 + 0.919456i \(0.371370\pi\)
\(678\) 0.238517 + 0.0870783i 0.00916018 + 0.00334422i
\(679\) 2.06926 1.19469i 0.0794110 0.0458480i
\(680\) 2.67504 4.63331i 0.102583 0.177679i
\(681\) 27.8350 23.3098i 1.06664 0.893233i
\(682\) 18.4518 + 31.9595i 0.706558 + 1.22379i
\(683\) −6.27342 −0.240046 −0.120023 0.992771i \(-0.538297\pi\)
−0.120023 + 0.992771i \(0.538297\pi\)
\(684\) 10.3770 7.95725i 0.396774 0.304253i
\(685\) 13.6298 0.520766
\(686\) 2.68401 + 4.64884i 0.102476 + 0.177494i
\(687\) −10.8568 + 9.09177i −0.414212 + 0.346873i
\(688\) −0.588721 + 1.01969i −0.0224448 + 0.0388755i
\(689\) 23.5507 13.5970i 0.897211 0.518005i
\(690\) 10.4804 + 3.82623i 0.398984 + 0.145662i
\(691\) −39.8978 −1.51778 −0.758891 0.651217i \(-0.774259\pi\)
−0.758891 + 0.651217i \(0.774259\pi\)
\(692\) 9.82817 0.373611
\(693\) 7.19636 + 1.28349i 0.273367 + 0.0487557i
\(694\) −8.34699 4.81914i −0.316847 0.182932i
\(695\) 22.6639i 0.859690i
\(696\) −1.28756 7.34428i −0.0488049 0.278384i
\(697\) −12.9912 7.50049i −0.492078 0.284101i
\(698\) −12.6150 21.8497i −0.477483 0.827025i
\(699\) −2.09625 + 5.74185i −0.0792875 + 0.217177i
\(700\) −0.193795 0.335662i −0.00732475 0.0126868i
\(701\) 8.46297 4.88610i 0.319642 0.184545i −0.331591 0.943423i \(-0.607585\pi\)
0.651233 + 0.758878i \(0.274252\pi\)
\(702\) 31.0361 17.7970i 1.17138 0.671705i
\(703\) 10.8378 + 2.38401i 0.408755 + 0.0899147i
\(704\) 6.28666i 0.236937i
\(705\) −10.3399 + 8.65895i −0.389424 + 0.326115i
\(706\) −8.70898 + 5.02813i −0.327767 + 0.189236i
\(707\) 1.40904 + 0.813507i 0.0529923 + 0.0305951i
\(708\) 1.47875 1.23834i 0.0555747 0.0465398i
\(709\) −9.26925 + 16.0548i −0.348114 + 0.602951i −0.985914 0.167251i \(-0.946511\pi\)
0.637800 + 0.770202i \(0.279844\pi\)
\(710\) 8.35597i 0.313594i
\(711\) 14.5959 + 40.3481i 0.547388 + 1.51317i
\(712\) 7.49847 12.9877i 0.281017 0.486736i
\(713\) −18.9064 + 32.7468i −0.708050 + 1.22638i
\(714\) 3.53769 0.620209i 0.132395 0.0232107i
\(715\) 43.2851i 1.61877i
\(716\) −9.81870 + 17.0065i −0.366942 + 0.635562i
\(717\) 17.6301 + 21.0527i 0.658408 + 0.786227i
\(718\) 9.76791 + 5.63951i 0.364535 + 0.210465i
\(719\) −29.2721 + 16.9002i −1.09166 + 0.630273i −0.934019 0.357223i \(-0.883724\pi\)
−0.157645 + 0.987496i \(0.550390\pi\)
\(720\) −1.93287 + 2.29434i −0.0720339 + 0.0855051i
\(721\) 5.60783i 0.208847i
\(722\) −1.71811 18.9222i −0.0639416 0.704210i
\(723\) 6.24403 1.09467i 0.232218 0.0407113i
\(724\) 19.3105 11.1489i 0.717668 0.414346i
\(725\) 2.15245 + 3.72815i 0.0799398 + 0.138460i
\(726\) −46.4058 16.9419i −1.72228 0.628775i
\(727\) −15.8883 27.5193i −0.589264 1.02064i −0.994329 0.106347i \(-0.966084\pi\)
0.405065 0.914288i \(-0.367249\pi\)
\(728\) 2.31111 + 1.33432i 0.0856555 + 0.0494532i
\(729\) −13.6375 + 23.3028i −0.505093 + 0.863065i
\(730\) 1.78140i 0.0659325i
\(731\) 5.45545 + 3.14971i 0.201777 + 0.116496i
\(732\) 4.17729 + 1.52505i 0.154397 + 0.0563676i
\(733\) 24.0223 0.887283 0.443642 0.896204i \(-0.353686\pi\)
0.443642 + 0.896204i \(0.353686\pi\)
\(734\) −26.4194 −0.975157
\(735\) −4.06872 + 11.1447i −0.150077 + 0.411077i
\(736\) 5.57852 3.22076i 0.205627 0.118719i
\(737\) 25.2533 43.7400i 0.930218 1.61119i
\(738\) 6.43306 + 5.41954i 0.236804 + 0.199496i
\(739\) −12.2978 21.3005i −0.452384 0.783551i 0.546150 0.837687i \(-0.316093\pi\)
−0.998534 + 0.0541361i \(0.982760\pi\)
\(740\) −2.54580 −0.0935855
\(741\) 2.23314 51.9343i 0.0820365 1.90786i
\(742\) −1.53083 −0.0561985
\(743\) 1.48071 + 2.56467i 0.0543220 + 0.0940885i 0.891908 0.452217i \(-0.149367\pi\)
−0.837586 + 0.546306i \(0.816034\pi\)
\(744\) −6.52784 7.79511i −0.239322 0.285782i
\(745\) 1.36738 2.36838i 0.0500971 0.0867707i
\(746\) 8.15874 4.71045i 0.298713 0.172462i
\(747\) −9.52714 1.69919i −0.348580 0.0621700i
\(748\) −33.6342 −1.22979
\(749\) −0.954981 −0.0348942
\(750\) 0.593994 1.62701i 0.0216896 0.0594101i
\(751\) 8.92680 + 5.15389i 0.325744 + 0.188068i 0.653950 0.756538i \(-0.273111\pi\)
−0.328206 + 0.944606i \(0.606444\pi\)
\(752\) 7.78656i 0.283947i
\(753\) 19.2102 3.36784i 0.700060 0.122731i
\(754\) −25.6691 14.8201i −0.934815 0.539716i
\(755\) −2.51753 4.36049i −0.0916223 0.158695i
\(756\) −2.01396 0.00593182i −0.0732472 0.000215738i
\(757\) 9.26031 + 16.0393i 0.336572 + 0.582959i 0.983785 0.179349i \(-0.0573993\pi\)
−0.647214 + 0.762308i \(0.724066\pi\)
\(758\) 16.0100 9.24338i 0.581510 0.335735i
\(759\) −12.1120 69.0869i −0.439636 2.50770i
\(760\) 1.31757 + 4.15500i 0.0477933 + 0.150718i
\(761\) 50.2106i 1.82013i −0.414462 0.910067i \(-0.636030\pi\)
0.414462 0.910067i \(-0.363970\pi\)
\(762\) −18.1919 21.7235i −0.659022 0.786960i
\(763\) −0.900710 + 0.520025i −0.0326079 + 0.0188262i
\(764\) −14.9599 8.63710i −0.541230 0.312479i
\(765\) 12.2749 + 10.3410i 0.443801 + 0.373881i
\(766\) 8.39580 14.5419i 0.303352 0.525422i
\(767\) 7.66726i 0.276849i
\(768\) 0.299093 + 1.70603i 0.0107926 + 0.0615611i
\(769\) −17.5253 + 30.3547i −0.631979 + 1.09462i 0.355168 + 0.934802i \(0.384424\pi\)
−0.987147 + 0.159817i \(0.948910\pi\)
\(770\) −1.21832 + 2.11019i −0.0439052 + 0.0760461i
\(771\) 8.16516 + 46.5743i 0.294061 + 1.67733i
\(772\) 9.74861i 0.350860i
\(773\) −20.0359 + 34.7031i −0.720640 + 1.24818i 0.240104 + 0.970747i \(0.422819\pi\)
−0.960744 + 0.277438i \(0.910515\pi\)
\(774\) −2.70145 2.27584i −0.0971018 0.0818035i
\(775\) 5.08371 + 2.93508i 0.182612 +