Properties

Label 260.2.o.a.183.14
Level $260$
Weight $2$
Character 260.183
Analytic conductor $2.076$
Analytic rank $0$
Dimension $72$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 260 = 2^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 260.o (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.07611045255\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(36\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 183.14
Character \(\chi\) \(=\) 260.183
Dual form 260.2.o.a.27.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.505980 - 1.32060i) q^{2} +(0.658144 - 0.658144i) q^{3} +(-1.48797 + 1.33639i) q^{4} +(0.820865 + 2.07995i) q^{5} +(-1.20215 - 0.536137i) q^{6} +(1.89124 + 1.89124i) q^{7} +(2.51772 + 1.28882i) q^{8} +2.13369i q^{9} +O(q^{10})\) \(q+(-0.505980 - 1.32060i) q^{2} +(0.658144 - 0.658144i) q^{3} +(-1.48797 + 1.33639i) q^{4} +(0.820865 + 2.07995i) q^{5} +(-1.20215 - 0.536137i) q^{6} +(1.89124 + 1.89124i) q^{7} +(2.51772 + 1.28882i) q^{8} +2.13369i q^{9} +(2.33144 - 2.13645i) q^{10} +1.63773i q^{11} +(-0.0997585 + 1.85884i) q^{12} +(-0.707107 - 0.707107i) q^{13} +(1.54064 - 3.45450i) q^{14} +(1.90915 + 0.828657i) q^{15} +(0.428104 - 3.97702i) q^{16} +(2.78023 - 2.78023i) q^{17} +(2.81776 - 1.07961i) q^{18} -3.52807 q^{19} +(-4.00105 - 1.99790i) q^{20} +2.48941 q^{21} +(2.16278 - 0.828656i) q^{22} +(-0.868383 + 0.868383i) q^{23} +(2.50526 - 0.808792i) q^{24} +(-3.65236 + 3.41471i) q^{25} +(-0.576024 + 1.29159i) q^{26} +(3.37871 + 3.37871i) q^{27} +(-5.34155 - 0.286666i) q^{28} -7.97596i q^{29} +(0.128332 - 2.94051i) q^{30} -7.80040i q^{31} +(-5.46867 + 1.44694i) q^{32} +(1.07786 + 1.07786i) q^{33} +(-5.07832 - 2.26484i) q^{34} +(-2.38122 + 5.48613i) q^{35} +(-2.85145 - 3.17487i) q^{36} +(4.02786 - 4.02786i) q^{37} +(1.78513 + 4.65917i) q^{38} -0.930756 q^{39} +(-0.613974 + 6.29468i) q^{40} +5.49168 q^{41} +(-1.25959 - 3.28752i) q^{42} +(-5.16654 + 5.16654i) q^{43} +(-2.18865 - 2.43688i) q^{44} +(-4.43797 + 1.75148i) q^{45} +(1.58617 + 0.707403i) q^{46} +(8.12719 + 8.12719i) q^{47} +(-2.33570 - 2.89921i) q^{48} +0.153571i q^{49} +(6.35749 + 3.09553i) q^{50} -3.65959i q^{51} +(1.99713 + 0.107180i) q^{52} +(-0.551967 - 0.551967i) q^{53} +(2.75236 - 6.17148i) q^{54} +(-3.40638 + 1.34435i) q^{55} +(2.32414 + 7.19909i) q^{56} +(-2.32198 + 2.32198i) q^{57} +(-10.5331 + 4.03567i) q^{58} +8.09322 q^{59} +(-3.94817 + 1.31836i) q^{60} -8.43976 q^{61} +(-10.3012 + 3.94684i) q^{62} +(-4.03533 + 4.03533i) q^{63} +(4.67786 + 6.48981i) q^{64} +(0.890305 - 2.05118i) q^{65} +(0.878045 - 1.96879i) q^{66} +(-1.32687 - 1.32687i) q^{67} +(-0.421416 + 7.85239i) q^{68} +1.14304i q^{69} +(8.44984 + 0.368776i) q^{70} -6.50923i q^{71} +(-2.74996 + 5.37205i) q^{72} +(-4.95717 - 4.95717i) q^{73} +(-7.35721 - 3.28118i) q^{74} +(-0.156406 + 4.65115i) q^{75} +(5.24966 - 4.71489i) q^{76} +(-3.09733 + 3.09733i) q^{77} +(0.470943 + 1.22916i) q^{78} -14.6164 q^{79} +(8.62342 - 2.37417i) q^{80} -1.95373 q^{81} +(-2.77868 - 7.25231i) q^{82} +(6.57539 - 6.57539i) q^{83} +(-3.70417 + 3.32684i) q^{84} +(8.06494 + 3.50054i) q^{85} +(9.43710 + 4.20877i) q^{86} +(-5.24933 - 5.24933i) q^{87} +(-2.11074 + 4.12334i) q^{88} +13.8436i q^{89} +(4.55852 + 4.97457i) q^{90} -2.67462i q^{91} +(0.131626 - 2.45263i) q^{92} +(-5.13378 - 5.13378i) q^{93} +(6.62058 - 14.8450i) q^{94} +(-2.89607 - 7.33819i) q^{95} +(-2.64688 + 4.55146i) q^{96} +(-0.0106669 + 0.0106669i) q^{97} +(0.202807 - 0.0777041i) q^{98} -3.49440 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72 q - 8 q^{6} - 12 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 72 q - 8 q^{6} - 12 q^{8} - 8 q^{10} - 8 q^{12} - 8 q^{16} + 28 q^{18} - 16 q^{21} - 8 q^{22} - 20 q^{28} - 32 q^{30} - 40 q^{32} + 16 q^{33} + 32 q^{36} - 12 q^{38} - 8 q^{40} - 40 q^{42} - 8 q^{46} + 60 q^{48} + 40 q^{50} + 8 q^{52} - 48 q^{53} + 8 q^{56} - 60 q^{58} + 20 q^{60} - 64 q^{61} + 60 q^{62} + 8 q^{66} - 16 q^{68} - 60 q^{70} + 40 q^{72} - 16 q^{73} - 72 q^{76} + 48 q^{77} - 20 q^{80} + 8 q^{81} - 12 q^{82} + 48 q^{85} + 48 q^{86} + 12 q^{88} + 44 q^{90} - 36 q^{92} + 16 q^{93} + 32 q^{96} - 80 q^{97} - 32 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/260\mathbb{Z}\right)^\times\).

\(n\) \(41\) \(131\) \(157\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{3}{4}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.505980 1.32060i −0.357782 0.933805i
\(3\) 0.658144 0.658144i 0.379979 0.379979i −0.491115 0.871095i \(-0.663411\pi\)
0.871095 + 0.491115i \(0.163411\pi\)
\(4\) −1.48797 + 1.33639i −0.743985 + 0.668197i
\(5\) 0.820865 + 2.07995i 0.367102 + 0.930181i
\(6\) −1.20215 0.536137i −0.490776 0.218877i
\(7\) 1.89124 + 1.89124i 0.714821 + 0.714821i 0.967540 0.252719i \(-0.0813247\pi\)
−0.252719 + 0.967540i \(0.581325\pi\)
\(8\) 2.51772 + 1.28882i 0.890150 + 0.455668i
\(9\) 2.13369i 0.711231i
\(10\) 2.33144 2.13645i 0.737265 0.675603i
\(11\) 1.63773i 0.493793i 0.969042 + 0.246896i \(0.0794107\pi\)
−0.969042 + 0.246896i \(0.920589\pi\)
\(12\) −0.0997585 + 1.85884i −0.0287978 + 0.536600i
\(13\) −0.707107 0.707107i −0.196116 0.196116i
\(14\) 1.54064 3.45450i 0.411754 0.923254i
\(15\) 1.90915 + 0.828657i 0.492941 + 0.213958i
\(16\) 0.428104 3.97702i 0.107026 0.994256i
\(17\) 2.78023 2.78023i 0.674306 0.674306i −0.284400 0.958706i \(-0.591794\pi\)
0.958706 + 0.284400i \(0.0917943\pi\)
\(18\) 2.81776 1.07961i 0.664152 0.254466i
\(19\) −3.52807 −0.809394 −0.404697 0.914451i \(-0.632623\pi\)
−0.404697 + 0.914451i \(0.632623\pi\)
\(20\) −4.00105 1.99790i −0.894662 0.446744i
\(21\) 2.48941 0.543235
\(22\) 2.16278 0.828656i 0.461106 0.176670i
\(23\) −0.868383 + 0.868383i −0.181070 + 0.181070i −0.791822 0.610752i \(-0.790867\pi\)
0.610752 + 0.791822i \(0.290867\pi\)
\(24\) 2.50526 0.808792i 0.511383 0.165094i
\(25\) −3.65236 + 3.41471i −0.730472 + 0.682943i
\(26\) −0.576024 + 1.29159i −0.112968 + 0.253301i
\(27\) 3.37871 + 3.37871i 0.650233 + 0.650233i
\(28\) −5.34155 0.286666i −1.00946 0.0541747i
\(29\) 7.97596i 1.48110i −0.672002 0.740549i \(-0.734565\pi\)
0.672002 0.740549i \(-0.265435\pi\)
\(30\) 0.128332 2.94051i 0.0234302 0.536861i
\(31\) 7.80040i 1.40099i −0.713656 0.700496i \(-0.752962\pi\)
0.713656 0.700496i \(-0.247038\pi\)
\(32\) −5.46867 + 1.44694i −0.966734 + 0.255785i
\(33\) 1.07786 + 1.07786i 0.187631 + 0.187631i
\(34\) −5.07832 2.26484i −0.870925 0.388416i
\(35\) −2.38122 + 5.48613i −0.402500 + 0.927325i
\(36\) −2.85145 3.17487i −0.475242 0.529145i
\(37\) 4.02786 4.02786i 0.662176 0.662176i −0.293716 0.955893i \(-0.594892\pi\)
0.955893 + 0.293716i \(0.0948921\pi\)
\(38\) 1.78513 + 4.65917i 0.289586 + 0.755817i
\(39\) −0.930756 −0.149040
\(40\) −0.613974 + 6.29468i −0.0970779 + 0.995277i
\(41\) 5.49168 0.857656 0.428828 0.903386i \(-0.358927\pi\)
0.428828 + 0.903386i \(0.358927\pi\)
\(42\) −1.25959 3.28752i −0.194359 0.507275i
\(43\) −5.16654 + 5.16654i −0.787890 + 0.787890i −0.981148 0.193258i \(-0.938095\pi\)
0.193258 + 0.981148i \(0.438095\pi\)
\(44\) −2.18865 2.43688i −0.329951 0.367374i
\(45\) −4.43797 + 1.75148i −0.661574 + 0.261095i
\(46\) 1.58617 + 0.707403i 0.233868 + 0.104301i
\(47\) 8.12719 + 8.12719i 1.18547 + 1.18547i 0.978306 + 0.207167i \(0.0664244\pi\)
0.207167 + 0.978306i \(0.433576\pi\)
\(48\) −2.33570 2.89921i −0.337129 0.418465i
\(49\) 0.153571i 0.0219388i
\(50\) 6.35749 + 3.09553i 0.899085 + 0.437774i
\(51\) 3.65959i 0.512445i
\(52\) 1.99713 + 0.107180i 0.276952 + 0.0148632i
\(53\) −0.551967 0.551967i −0.0758185 0.0758185i 0.668181 0.743999i \(-0.267073\pi\)
−0.743999 + 0.668181i \(0.767073\pi\)
\(54\) 2.75236 6.17148i 0.374549 0.839832i
\(55\) −3.40638 + 1.34435i −0.459316 + 0.181272i
\(56\) 2.32414 + 7.19909i 0.310577 + 0.962019i
\(57\) −2.32198 + 2.32198i −0.307553 + 0.307553i
\(58\) −10.5331 + 4.03567i −1.38306 + 0.529910i
\(59\) 8.09322 1.05365 0.526824 0.849975i \(-0.323383\pi\)
0.526824 + 0.849975i \(0.323383\pi\)
\(60\) −3.94817 + 1.31836i −0.509706 + 0.170200i
\(61\) −8.43976 −1.08060 −0.540300 0.841472i \(-0.681689\pi\)
−0.540300 + 0.841472i \(0.681689\pi\)
\(62\) −10.3012 + 3.94684i −1.30825 + 0.501249i
\(63\) −4.03533 + 4.03533i −0.508403 + 0.508403i
\(64\) 4.67786 + 6.48981i 0.584733 + 0.811226i
\(65\) 0.890305 2.05118i 0.110429 0.254418i
\(66\) 0.878045 1.96879i 0.108080 0.242342i
\(67\) −1.32687 1.32687i −0.162103 0.162103i 0.621395 0.783498i \(-0.286566\pi\)
−0.783498 + 0.621395i \(0.786566\pi\)
\(68\) −0.421416 + 7.85239i −0.0511041 + 0.952242i
\(69\) 1.14304i 0.137606i
\(70\) 8.44984 + 0.368776i 1.00995 + 0.0440771i
\(71\) 6.50923i 0.772504i −0.922393 0.386252i \(-0.873770\pi\)
0.922393 0.386252i \(-0.126230\pi\)
\(72\) −2.74996 + 5.37205i −0.324085 + 0.633102i
\(73\) −4.95717 4.95717i −0.580193 0.580193i 0.354763 0.934956i \(-0.384561\pi\)
−0.934956 + 0.354763i \(0.884561\pi\)
\(74\) −7.35721 3.28118i −0.855258 0.381429i
\(75\) −0.156406 + 4.65115i −0.0180602 + 0.537068i
\(76\) 5.24966 4.71489i 0.602177 0.540835i
\(77\) −3.09733 + 3.09733i −0.352974 + 0.352974i
\(78\) 0.470943 + 1.22916i 0.0533238 + 0.139175i
\(79\) −14.6164 −1.64448 −0.822238 0.569143i \(-0.807275\pi\)
−0.822238 + 0.569143i \(0.807275\pi\)
\(80\) 8.62342 2.37417i 0.964127 0.265440i
\(81\) −1.95373 −0.217081
\(82\) −2.77868 7.25231i −0.306854 0.800884i
\(83\) 6.57539 6.57539i 0.721743 0.721743i −0.247217 0.968960i \(-0.579516\pi\)
0.968960 + 0.247217i \(0.0795161\pi\)
\(84\) −3.70417 + 3.32684i −0.404158 + 0.362988i
\(85\) 8.06494 + 3.50054i 0.874765 + 0.379687i
\(86\) 9.43710 + 4.20877i 1.01763 + 0.453843i
\(87\) −5.24933 5.24933i −0.562787 0.562787i
\(88\) −2.11074 + 4.12334i −0.225006 + 0.439549i
\(89\) 13.8436i 1.46742i 0.679462 + 0.733710i \(0.262213\pi\)
−0.679462 + 0.733710i \(0.737787\pi\)
\(90\) 4.55852 + 4.97457i 0.480510 + 0.524366i
\(91\) 2.67462i 0.280376i
\(92\) 0.131626 2.45263i 0.0137229 0.255704i
\(93\) −5.13378 5.13378i −0.532348 0.532348i
\(94\) 6.62058 14.8450i 0.682860 1.53114i
\(95\) −2.89607 7.33819i −0.297130 0.752883i
\(96\) −2.64688 + 4.55146i −0.270146 + 0.464532i
\(97\) −0.0106669 + 0.0106669i −0.00108306 + 0.00108306i −0.707648 0.706565i \(-0.750244\pi\)
0.706565 + 0.707648i \(0.250244\pi\)
\(98\) 0.202807 0.0777041i 0.0204866 0.00784929i
\(99\) −3.49440 −0.351201
\(100\) 0.871199 9.96198i 0.0871199 0.996198i
\(101\) −8.35420 −0.831274 −0.415637 0.909531i \(-0.636441\pi\)
−0.415637 + 0.909531i \(0.636441\pi\)
\(102\) −4.83285 + 1.85168i −0.478524 + 0.183343i
\(103\) 12.8239 12.8239i 1.26358 1.26358i 0.314230 0.949347i \(-0.398254\pi\)
0.949347 0.314230i \(-0.101746\pi\)
\(104\) −0.868963 2.69164i −0.0852088 0.263937i
\(105\) 2.04347 + 5.17785i 0.199423 + 0.505306i
\(106\) −0.449644 + 1.00821i −0.0436733 + 0.0979262i
\(107\) −2.23737 2.23737i −0.216295 0.216295i 0.590640 0.806935i \(-0.298875\pi\)
−0.806935 + 0.590640i \(0.798875\pi\)
\(108\) −9.54270 0.512130i −0.918246 0.0492797i
\(109\) 4.09811i 0.392528i −0.980551 0.196264i \(-0.937119\pi\)
0.980551 0.196264i \(-0.0628809\pi\)
\(110\) 3.49891 + 3.81825i 0.333608 + 0.364056i
\(111\) 5.30182i 0.503227i
\(112\) 8.33115 6.71186i 0.787220 0.634211i
\(113\) 3.86201 + 3.86201i 0.363308 + 0.363308i 0.865029 0.501722i \(-0.167300\pi\)
−0.501722 + 0.865029i \(0.667300\pi\)
\(114\) 4.24127 + 1.89153i 0.397232 + 0.177158i
\(115\) −2.51902 1.09337i −0.234900 0.101957i
\(116\) 10.6590 + 11.8680i 0.989665 + 1.10191i
\(117\) 1.50875 1.50875i 0.139484 0.139484i
\(118\) −4.09501 10.6879i −0.376976 0.983902i
\(119\) 10.5162 0.964016
\(120\) 3.73872 + 4.54689i 0.341297 + 0.415072i
\(121\) 8.31786 0.756169
\(122\) 4.27035 + 11.1455i 0.386619 + 1.00907i
\(123\) 3.61431 3.61431i 0.325892 0.325892i
\(124\) 10.4244 + 11.6067i 0.936139 + 1.04232i
\(125\) −10.1005 4.79370i −0.903418 0.428761i
\(126\) 7.37084 + 3.28726i 0.656647 + 0.292852i
\(127\) 2.46133 + 2.46133i 0.218408 + 0.218408i 0.807827 0.589419i \(-0.200643\pi\)
−0.589419 + 0.807827i \(0.700643\pi\)
\(128\) 6.20353 9.46130i 0.548320 0.836269i
\(129\) 6.80065i 0.598764i
\(130\) −3.15927 0.137880i −0.277086 0.0120929i
\(131\) 1.40309i 0.122589i −0.998120 0.0612943i \(-0.980477\pi\)
0.998120 0.0612943i \(-0.0195228\pi\)
\(132\) −3.04426 0.163377i −0.264969 0.0142201i
\(133\) −6.67242 6.67242i −0.578572 0.578572i
\(134\) −1.08089 + 2.42363i −0.0933750 + 0.209370i
\(135\) −4.25407 + 9.80100i −0.366132 + 0.843536i
\(136\) 10.5831 3.41663i 0.907493 0.292973i
\(137\) −0.493480 + 0.493480i −0.0421609 + 0.0421609i −0.727873 0.685712i \(-0.759491\pi\)
0.685712 + 0.727873i \(0.259491\pi\)
\(138\) 1.50950 0.578356i 0.128497 0.0492329i
\(139\) −10.7648 −0.913056 −0.456528 0.889709i \(-0.650907\pi\)
−0.456528 + 0.889709i \(0.650907\pi\)
\(140\) −3.78844 11.3454i −0.320182 0.958865i
\(141\) 10.6977 0.900910
\(142\) −8.59609 + 3.29354i −0.721368 + 0.276388i
\(143\) 1.15805 1.15805i 0.0968407 0.0968407i
\(144\) 8.48575 + 0.913444i 0.707146 + 0.0761203i
\(145\) 16.5896 6.54719i 1.37769 0.543714i
\(146\) −4.03821 + 9.05467i −0.334205 + 0.749370i
\(147\) 0.101072 + 0.101072i 0.00833629 + 0.00833629i
\(148\) −0.610525 + 11.3761i −0.0501849 + 0.935113i
\(149\) 13.1342i 1.07599i −0.842947 0.537996i \(-0.819182\pi\)
0.842947 0.537996i \(-0.180818\pi\)
\(150\) 6.22145 2.14684i 0.507979 0.175288i
\(151\) 20.5019i 1.66842i −0.551443 0.834212i \(-0.685923\pi\)
0.551443 0.834212i \(-0.314077\pi\)
\(152\) −8.88270 4.54706i −0.720482 0.368815i
\(153\) 5.93217 + 5.93217i 0.479588 + 0.479588i
\(154\) 5.65752 + 2.52315i 0.455896 + 0.203321i
\(155\) 16.2244 6.40307i 1.30318 0.514307i
\(156\) 1.38494 1.24386i 0.110884 0.0995882i
\(157\) −3.84213 + 3.84213i −0.306635 + 0.306635i −0.843603 0.536968i \(-0.819570\pi\)
0.536968 + 0.843603i \(0.319570\pi\)
\(158\) 7.39562 + 19.3025i 0.588364 + 1.53562i
\(159\) −0.726547 −0.0576189
\(160\) −7.49860 10.1868i −0.592816 0.805338i
\(161\) −3.28464 −0.258866
\(162\) 0.988549 + 2.58010i 0.0776677 + 0.202712i
\(163\) 8.79662 8.79662i 0.689005 0.689005i −0.273007 0.962012i \(-0.588018\pi\)
0.962012 + 0.273007i \(0.0880183\pi\)
\(164\) −8.17145 + 7.33904i −0.638083 + 0.573083i
\(165\) −1.35711 + 3.12666i −0.105651 + 0.243411i
\(166\) −12.0105 5.35645i −0.932194 0.415741i
\(167\) 15.1016 + 15.1016i 1.16859 + 1.16859i 0.982539 + 0.186054i \(0.0595700\pi\)
0.186054 + 0.982539i \(0.440430\pi\)
\(168\) 6.26766 + 3.20842i 0.483560 + 0.247535i
\(169\) 1.00000i 0.0769231i
\(170\) 0.542122 12.4218i 0.0415789 0.952706i
\(171\) 7.52782i 0.575667i
\(172\) 0.783121 14.5922i 0.0597124 1.11264i
\(173\) −13.3665 13.3665i −1.01624 1.01624i −0.999866 0.0163696i \(-0.994789\pi\)
−0.0163696 0.999866i \(-0.505211\pi\)
\(174\) −4.27621 + 9.58831i −0.324179 + 0.726888i
\(175\) −13.3655 0.449448i −1.01034 0.0339751i
\(176\) 6.51327 + 0.701117i 0.490956 + 0.0528487i
\(177\) 5.32650 5.32650i 0.400364 0.400364i
\(178\) 18.2819 7.00459i 1.37029 0.525016i
\(179\) −12.2037 −0.912148 −0.456074 0.889942i \(-0.650745\pi\)
−0.456074 + 0.889942i \(0.650745\pi\)
\(180\) 4.26290 8.53702i 0.317738 0.636312i
\(181\) −12.8690 −0.956543 −0.478271 0.878212i \(-0.658736\pi\)
−0.478271 + 0.878212i \(0.658736\pi\)
\(182\) −3.53210 + 1.35330i −0.261817 + 0.100313i
\(183\) −5.55457 + 5.55457i −0.410606 + 0.410606i
\(184\) −3.30554 + 1.06716i −0.243688 + 0.0786718i
\(185\) 11.6841 + 5.07141i 0.859030 + 0.372857i
\(186\) −4.18208 + 9.37726i −0.306645 + 0.687574i
\(187\) 4.55326 + 4.55326i 0.332967 + 0.332967i
\(188\) −22.9541 1.23188i −1.67410 0.0898443i
\(189\) 12.7799i 0.929600i
\(190\) −8.22547 + 7.53753i −0.596738 + 0.546830i
\(191\) 16.8603i 1.21997i 0.792414 + 0.609984i \(0.208824\pi\)
−0.792414 + 0.609984i \(0.791176\pi\)
\(192\) 7.34993 + 1.19252i 0.530436 + 0.0860626i
\(193\) 5.67678 + 5.67678i 0.408624 + 0.408624i 0.881258 0.472635i \(-0.156697\pi\)
−0.472635 + 0.881258i \(0.656697\pi\)
\(194\) 0.0194840 + 0.00868950i 0.00139887 + 0.000623870i
\(195\) −0.764025 1.93592i −0.0547130 0.138634i
\(196\) −0.205232 0.228510i −0.0146594 0.0163221i
\(197\) −11.9805 + 11.9805i −0.853578 + 0.853578i −0.990572 0.136994i \(-0.956256\pi\)
0.136994 + 0.990572i \(0.456256\pi\)
\(198\) 1.76810 + 4.61471i 0.125653 + 0.327953i
\(199\) −13.4943 −0.956583 −0.478291 0.878201i \(-0.658744\pi\)
−0.478291 + 0.878201i \(0.658744\pi\)
\(200\) −13.5966 + 3.89005i −0.961425 + 0.275068i
\(201\) −1.74654 −0.123191
\(202\) 4.22705 + 11.0326i 0.297415 + 0.776248i
\(203\) 15.0844 15.0844i 1.05872 1.05872i
\(204\) 4.89065 + 5.44535i 0.342414 + 0.381251i
\(205\) 4.50793 + 11.4224i 0.314847 + 0.797775i
\(206\) −23.4239 10.4466i −1.63202 0.727850i
\(207\) −1.85286 1.85286i −0.128783 0.128783i
\(208\) −3.11490 + 2.50947i −0.215979 + 0.174000i
\(209\) 5.77800i 0.399673i
\(210\) 5.80391 5.31850i 0.400508 0.367011i
\(211\) 22.3207i 1.53662i 0.640077 + 0.768311i \(0.278903\pi\)
−0.640077 + 0.768311i \(0.721097\pi\)
\(212\) 1.55896 + 0.0836647i 0.107070 + 0.00574612i
\(213\) −4.28401 4.28401i −0.293535 0.293535i
\(214\) −1.82261 + 4.08673i −0.124591 + 0.279363i
\(215\) −14.9872 6.50510i −1.02212 0.443644i
\(216\) 4.15209 + 12.8612i 0.282514 + 0.875095i
\(217\) 14.7524 14.7524i 1.00146 1.00146i
\(218\) −5.41196 + 2.07356i −0.366544 + 0.140439i
\(219\) −6.52506 −0.440923
\(220\) 3.27201 6.55262i 0.220599 0.441778i
\(221\) −3.93185 −0.264485
\(222\) −7.00159 + 2.68261i −0.469916 + 0.180045i
\(223\) −15.1774 + 15.1774i −1.01635 + 1.01635i −0.0164909 + 0.999864i \(0.505249\pi\)
−0.999864 + 0.0164909i \(0.994751\pi\)
\(224\) −13.0791 7.60606i −0.873882 0.508201i
\(225\) −7.28595 7.79302i −0.485730 0.519535i
\(226\) 3.14607 7.05427i 0.209274 0.469243i
\(227\) −1.67416 1.67416i −0.111118 0.111118i 0.649362 0.760480i \(-0.275036\pi\)
−0.760480 + 0.649362i \(0.775036\pi\)
\(228\) 0.351955 6.55810i 0.0233088 0.434321i
\(229\) 9.37677i 0.619634i 0.950796 + 0.309817i \(0.100268\pi\)
−0.950796 + 0.309817i \(0.899732\pi\)
\(230\) −0.169327 + 3.87983i −0.0111651 + 0.255829i
\(231\) 4.07698i 0.268245i
\(232\) 10.2796 20.0813i 0.674889 1.31840i
\(233\) 16.0668 + 16.0668i 1.05257 + 1.05257i 0.998539 + 0.0540344i \(0.0172081\pi\)
0.0540344 + 0.998539i \(0.482792\pi\)
\(234\) −2.75585 1.22906i −0.180156 0.0803460i
\(235\) −10.2328 + 23.5755i −0.667514 + 1.53789i
\(236\) −12.0425 + 10.8157i −0.783898 + 0.704044i
\(237\) −9.61971 + 9.61971i −0.624867 + 0.624867i
\(238\) −5.32097 13.8877i −0.344907 0.900204i
\(239\) 19.5885 1.26707 0.633537 0.773712i \(-0.281602\pi\)
0.633537 + 0.773712i \(0.281602\pi\)
\(240\) 4.11290 7.23799i 0.265487 0.467210i
\(241\) −0.764560 −0.0492496 −0.0246248 0.999697i \(-0.507839\pi\)
−0.0246248 + 0.999697i \(0.507839\pi\)
\(242\) −4.20867 10.9846i −0.270543 0.706114i
\(243\) −11.4220 + 11.4220i −0.732719 + 0.732719i
\(244\) 12.5581 11.2788i 0.803950 0.722054i
\(245\) −0.319421 + 0.126062i −0.0204070 + 0.00805377i
\(246\) −6.60183 2.94429i −0.420917 0.187721i
\(247\) 2.49472 + 2.49472i 0.158735 + 0.158735i
\(248\) 10.0533 19.6392i 0.638388 1.24709i
\(249\) 8.65511i 0.548495i
\(250\) −1.21990 + 15.7643i −0.0771533 + 0.997019i
\(251\) 4.66905i 0.294708i 0.989084 + 0.147354i \(0.0470756\pi\)
−0.989084 + 0.147354i \(0.952924\pi\)
\(252\) 0.611657 11.3972i 0.0385308 0.717958i
\(253\) −1.42217 1.42217i −0.0894113 0.0894113i
\(254\) 2.00505 4.49582i 0.125808 0.282093i
\(255\) 7.61175 3.00403i 0.476666 0.188120i
\(256\) −15.6335 3.40516i −0.977091 0.212823i
\(257\) 8.66539 8.66539i 0.540532 0.540532i −0.383153 0.923685i \(-0.625162\pi\)
0.923685 + 0.383153i \(0.125162\pi\)
\(258\) 8.98094 3.44099i 0.559129 0.214227i
\(259\) 15.2353 0.946675
\(260\) 1.41644 + 4.24190i 0.0878440 + 0.263071i
\(261\) 17.0183 1.05340
\(262\) −1.85292 + 0.709935i −0.114474 + 0.0438599i
\(263\) 7.99625 7.99625i 0.493070 0.493070i −0.416202 0.909272i \(-0.636639\pi\)
0.909272 + 0.416202i \(0.136639\pi\)
\(264\) 1.32458 + 4.10292i 0.0815222 + 0.252517i
\(265\) 0.694972 1.60115i 0.0426918 0.0983581i
\(266\) −5.43549 + 12.1877i −0.333271 + 0.747276i
\(267\) 9.11109 + 9.11109i 0.557590 + 0.557590i
\(268\) 3.74756 + 0.201121i 0.228918 + 0.0122854i
\(269\) 20.9021i 1.27442i −0.770689 0.637211i \(-0.780088\pi\)
0.770689 0.637211i \(-0.219912\pi\)
\(270\) 15.0957 + 0.658819i 0.918693 + 0.0400945i
\(271\) 21.2210i 1.28908i 0.764570 + 0.644541i \(0.222951\pi\)
−0.764570 + 0.644541i \(0.777049\pi\)
\(272\) −9.86683 12.2473i −0.598265 0.742601i
\(273\) −1.76028 1.76028i −0.106537 0.106537i
\(274\) 0.901381 + 0.401999i 0.0544544 + 0.0242856i
\(275\) −5.59236 5.98156i −0.337232 0.360702i
\(276\) −1.52755 1.70081i −0.0919479 0.102377i
\(277\) 10.6769 10.6769i 0.641511 0.641511i −0.309415 0.950927i \(-0.600133\pi\)
0.950927 + 0.309415i \(0.100133\pi\)
\(278\) 5.44676 + 14.2160i 0.326675 + 0.852617i
\(279\) 16.6437 0.996430
\(280\) −13.0659 + 10.7436i −0.780838 + 0.642052i
\(281\) −26.8589 −1.60227 −0.801135 0.598484i \(-0.795770\pi\)
−0.801135 + 0.598484i \(0.795770\pi\)
\(282\) −5.41283 14.1274i −0.322329 0.841275i
\(283\) −5.29625 + 5.29625i −0.314829 + 0.314829i −0.846777 0.531948i \(-0.821460\pi\)
0.531948 + 0.846777i \(0.321460\pi\)
\(284\) 8.69890 + 9.68554i 0.516185 + 0.574731i
\(285\) −6.73561 2.92356i −0.398983 0.173177i
\(286\) −2.11526 0.943368i −0.125078 0.0557825i
\(287\) 10.3861 + 10.3861i 0.613071 + 0.613071i
\(288\) −3.08733 11.6685i −0.181922 0.687571i
\(289\) 1.54059i 0.0906230i
\(290\) −17.0402 18.5954i −1.00064 1.09196i
\(291\) 0.0140407i 0.000823083i
\(292\) 14.0008 + 0.751386i 0.819338 + 0.0439715i
\(293\) −12.1353 12.1353i −0.708953 0.708953i 0.257362 0.966315i \(-0.417147\pi\)
−0.966315 + 0.257362i \(0.917147\pi\)
\(294\) 0.0823354 0.184616i 0.00480190 0.0107670i
\(295\) 6.64344 + 16.8335i 0.386796 + 0.980083i
\(296\) 15.3322 4.94984i 0.891169 0.287703i
\(297\) −5.53339 + 5.53339i −0.321080 + 0.321080i
\(298\) −17.3450 + 6.64562i −1.00477 + 0.384970i
\(299\) 1.22808 0.0710217
\(300\) −5.98304 7.12979i −0.345431 0.411638i
\(301\) −19.5423 −1.12640
\(302\) −27.0749 + 10.3736i −1.55798 + 0.596932i
\(303\) −5.49826 + 5.49826i −0.315867 + 0.315867i
\(304\) −1.51038 + 14.0312i −0.0866263 + 0.804745i
\(305\) −6.92790 17.5542i −0.396691 1.00515i
\(306\) 4.83247 10.8356i 0.276254 0.619429i
\(307\) −16.9432 16.9432i −0.966997 0.966997i 0.0324756 0.999473i \(-0.489661\pi\)
−0.999473 + 0.0324756i \(0.989661\pi\)
\(308\) 0.469480 8.74798i 0.0267511 0.498463i
\(309\) 16.8799i 0.960266i
\(310\) −16.6651 18.1861i −0.946515 1.03290i
\(311\) 2.12910i 0.120730i 0.998176 + 0.0603652i \(0.0192265\pi\)
−0.998176 + 0.0603652i \(0.980773\pi\)
\(312\) −2.34339 1.19958i −0.132668 0.0679129i
\(313\) 19.7564 + 19.7564i 1.11670 + 1.11670i 0.992223 + 0.124474i \(0.0397242\pi\)
0.124474 + 0.992223i \(0.460276\pi\)
\(314\) 7.01795 + 3.12988i 0.396046 + 0.176629i
\(315\) −11.7057 5.08081i −0.659543 0.286271i
\(316\) 21.7488 19.5333i 1.22347 1.09883i
\(317\) 5.16186 5.16186i 0.289919 0.289919i −0.547129 0.837048i \(-0.684279\pi\)
0.837048 + 0.547129i \(0.184279\pi\)
\(318\) 0.367618 + 0.959478i 0.0206150 + 0.0538049i
\(319\) 13.0624 0.731356
\(320\) −9.65856 + 15.0570i −0.539930 + 0.841710i
\(321\) −2.94502 −0.164375
\(322\) 1.66196 + 4.33770i 0.0926175 + 0.241730i
\(323\) −9.80886 + 9.80886i −0.545779 + 0.545779i
\(324\) 2.90709 2.61096i 0.161505 0.145053i
\(325\) 4.99718 + 0.168042i 0.277193 + 0.00932130i
\(326\) −16.0677 7.16591i −0.889909 0.396883i
\(327\) −2.69714 2.69714i −0.149152 0.149152i
\(328\) 13.8265 + 7.07781i 0.763442 + 0.390806i
\(329\) 30.7409i 1.69480i
\(330\) 4.81574 + 0.210173i 0.265098 + 0.0115697i
\(331\) 7.47804i 0.411030i 0.978654 + 0.205515i \(0.0658869\pi\)
−0.978654 + 0.205515i \(0.934113\pi\)
\(332\) −0.996669 + 18.5713i −0.0546993 + 1.01923i
\(333\) 8.59422 + 8.59422i 0.470961 + 0.470961i
\(334\) 12.3020 27.5842i 0.673138 1.50934i
\(335\) 1.67064 3.84899i 0.0912765 0.210293i
\(336\) 1.06573 9.90046i 0.0581403 0.540114i
\(337\) 16.1356 16.1356i 0.878963 0.878963i −0.114464 0.993427i \(-0.536515\pi\)
0.993427 + 0.114464i \(0.0365152\pi\)
\(338\) 1.32060 0.505980i 0.0718312 0.0275217i
\(339\) 5.08352 0.276099
\(340\) −16.6785 + 5.56923i −0.904518 + 0.302034i
\(341\) 12.7749 0.691800
\(342\) −9.94124 + 3.80892i −0.537560 + 0.205963i
\(343\) 12.9482 12.9482i 0.699139 0.699139i
\(344\) −19.6667 + 6.34916i −1.06036 + 0.342324i
\(345\) −2.37747 + 0.938283i −0.127998 + 0.0505155i
\(346\) −10.8886 + 24.4150i −0.585376 + 1.31256i
\(347\) −1.13829 1.13829i −0.0611068 0.0611068i 0.675893 0.737000i \(-0.263758\pi\)
−0.737000 + 0.675893i \(0.763758\pi\)
\(348\) 14.8260 + 0.795670i 0.794757 + 0.0426524i
\(349\) 28.5647i 1.52903i 0.644604 + 0.764517i \(0.277022\pi\)
−0.644604 + 0.764517i \(0.722978\pi\)
\(350\) 6.16914 + 17.8779i 0.329755 + 0.955615i
\(351\) 4.77821i 0.255042i
\(352\) −2.36969 8.95618i −0.126305 0.477366i
\(353\) 18.0473 + 18.0473i 0.960558 + 0.960558i 0.999251 0.0386928i \(-0.0123194\pi\)
−0.0386928 + 0.999251i \(0.512319\pi\)
\(354\) −9.72928 4.33908i −0.517105 0.230619i
\(355\) 13.5389 5.34320i 0.718568 0.283588i
\(356\) −18.5005 20.5989i −0.980526 1.09174i
\(357\) 6.92115 6.92115i 0.366306 0.366306i
\(358\) 6.17483 + 16.1162i 0.326350 + 0.851769i
\(359\) −6.18564 −0.326466 −0.163233 0.986588i \(-0.552192\pi\)
−0.163233 + 0.986588i \(0.552192\pi\)
\(360\) −13.4309 1.31003i −0.707872 0.0690448i
\(361\) −6.55274 −0.344881
\(362\) 6.51143 + 16.9948i 0.342233 + 0.893225i
\(363\) 5.47434 5.47434i 0.287329 0.287329i
\(364\) 3.57434 + 3.97975i 0.187346 + 0.208595i
\(365\) 6.24148 14.3798i 0.326694 0.752674i
\(366\) 10.1459 + 4.52487i 0.530333 + 0.236519i
\(367\) −19.2253 19.2253i −1.00355 1.00355i −0.999994 0.00355779i \(-0.998868\pi\)
−0.00355779 0.999994i \(-0.501132\pi\)
\(368\) 3.08182 + 3.82534i 0.160651 + 0.199410i
\(369\) 11.7176i 0.609992i
\(370\) 0.785399 17.9960i 0.0408309 0.935568i
\(371\) 2.08780i 0.108393i
\(372\) 14.4997 + 0.778156i 0.751772 + 0.0403455i
\(373\) 13.1719 + 13.1719i 0.682016 + 0.682016i 0.960454 0.278438i \(-0.0898166\pi\)
−0.278438 + 0.960454i \(0.589817\pi\)
\(374\) 3.70918 8.31689i 0.191797 0.430056i
\(375\) −9.80253 + 3.49265i −0.506201 + 0.180360i
\(376\) 9.98750 + 30.9365i 0.515066 + 1.59543i
\(377\) −5.63986 + 5.63986i −0.290467 + 0.290467i
\(378\) 16.8771 6.46636i 0.868066 0.332594i
\(379\) 6.67592 0.342919 0.171460 0.985191i \(-0.445152\pi\)
0.171460 + 0.985191i \(0.445152\pi\)
\(380\) 14.1160 + 7.04872i 0.724134 + 0.361592i
\(381\) 3.23982 0.165981
\(382\) 22.2657 8.53096i 1.13921 0.436482i
\(383\) 18.1276 18.1276i 0.926279 0.926279i −0.0711841 0.997463i \(-0.522678\pi\)
0.997463 + 0.0711841i \(0.0226778\pi\)
\(384\) −2.14408 10.3097i −0.109414 0.526115i
\(385\) −8.98477 3.89979i −0.457906 0.198752i
\(386\) 4.62442 10.3691i 0.235377 0.527773i
\(387\) −11.0238 11.0238i −0.560372 0.560372i
\(388\) 0.00161685 0.0301273i 8.20829e−5 0.00152948i
\(389\) 35.4186i 1.79579i −0.440205 0.897897i \(-0.645094\pi\)
0.440205 0.897897i \(-0.354906\pi\)
\(390\) −2.17000 + 1.98851i −0.109882 + 0.100692i
\(391\) 4.82862i 0.244194i
\(392\) −0.197927 + 0.386651i −0.00999681 + 0.0195288i
\(393\) −0.923435 0.923435i −0.0465811 0.0465811i
\(394\) 21.8834 + 9.75959i 1.10247 + 0.491681i
\(395\) −11.9981 30.4014i −0.603691 1.52966i
\(396\) 5.19957 4.66990i 0.261288 0.234671i
\(397\) −9.88325 + 9.88325i −0.496026 + 0.496026i −0.910199 0.414172i \(-0.864071\pi\)
0.414172 + 0.910199i \(0.364071\pi\)
\(398\) 6.82782 + 17.8205i 0.342248 + 0.893262i
\(399\) −8.78282 −0.439691
\(400\) 12.0168 + 15.9874i 0.600840 + 0.799369i
\(401\) 10.1583 0.507281 0.253641 0.967299i \(-0.418372\pi\)
0.253641 + 0.967299i \(0.418372\pi\)
\(402\) 0.883713 + 2.30648i 0.0440756 + 0.115037i
\(403\) −5.51571 + 5.51571i −0.274757 + 0.274757i
\(404\) 12.4308 11.1645i 0.618455 0.555454i
\(405\) −1.60375 4.06366i −0.0796910 0.201925i
\(406\) −27.5529 12.2881i −1.36743 0.609848i
\(407\) 6.59653 + 6.59653i 0.326978 + 0.326978i
\(408\) 4.71656 9.21383i 0.233505 0.456153i
\(409\) 5.50011i 0.271963i 0.990711 + 0.135982i \(0.0434188\pi\)
−0.990711 + 0.135982i \(0.956581\pi\)
\(410\) 12.8035 11.7327i 0.632320 0.579435i
\(411\) 0.649562i 0.0320405i
\(412\) −1.94379 + 36.2194i −0.0957637 + 1.78440i
\(413\) 15.3062 + 15.3062i 0.753170 + 0.753170i
\(414\) −1.50938 + 3.38440i −0.0741820 + 0.166334i
\(415\) 19.0740 + 8.27896i 0.936305 + 0.406398i
\(416\) 4.89008 + 2.84379i 0.239756 + 0.139428i
\(417\) −7.08477 + 7.08477i −0.346943 + 0.346943i
\(418\) −7.63043 + 2.92355i −0.373217 + 0.142996i
\(419\) 18.5620 0.906815 0.453407 0.891303i \(-0.350208\pi\)
0.453407 + 0.891303i \(0.350208\pi\)
\(420\) −9.96027 4.97360i −0.486011 0.242687i
\(421\) 10.2994 0.501962 0.250981 0.967992i \(-0.419247\pi\)
0.250981 + 0.967992i \(0.419247\pi\)
\(422\) 29.4768 11.2938i 1.43491 0.549775i
\(423\) −17.3409 + 17.3409i −0.843145 + 0.843145i
\(424\) −0.678312 2.10109i −0.0329417 0.102038i
\(425\) −0.660716 + 19.6481i −0.0320494 + 0.953074i
\(426\) −3.48984 + 7.82509i −0.169083 + 0.379127i
\(427\) −15.9616 15.9616i −0.772436 0.772436i
\(428\) 6.31914 + 0.339130i 0.305447 + 0.0163925i
\(429\) 1.52432i 0.0735950i
\(430\) −1.00743 + 23.0835i −0.0485826 + 1.11318i
\(431\) 13.4505i 0.647889i −0.946076 0.323944i \(-0.894991\pi\)
0.946076 0.323944i \(-0.105009\pi\)
\(432\) 14.8836 11.9908i 0.716090 0.576906i
\(433\) −5.29244 5.29244i −0.254338 0.254338i 0.568408 0.822747i \(-0.307559\pi\)
−0.822747 + 0.568408i \(0.807559\pi\)
\(434\) −26.9465 12.0176i −1.29347 0.576864i
\(435\) 6.60933 15.2273i 0.316893 0.730094i
\(436\) 5.47669 + 6.09786i 0.262286 + 0.292035i
\(437\) 3.06371 3.06371i 0.146557 0.146557i
\(438\) 3.30155 + 8.61700i 0.157754 + 0.411736i
\(439\) 5.70933 0.272491 0.136246 0.990675i \(-0.456496\pi\)
0.136246 + 0.990675i \(0.456496\pi\)
\(440\) −10.3090 1.00552i −0.491460 0.0479363i
\(441\) −0.327675 −0.0156036
\(442\) 1.98943 + 5.19240i 0.0946277 + 0.246977i
\(443\) −21.3935 + 21.3935i −1.01644 + 1.01644i −0.0165752 + 0.999863i \(0.505276\pi\)
−0.999863 + 0.0165752i \(0.994724\pi\)
\(444\) 7.08532 + 7.88895i 0.336255 + 0.374393i
\(445\) −28.7940 + 11.3637i −1.36497 + 0.538693i
\(446\) 27.7228 + 12.3638i 1.31271 + 0.585444i
\(447\) −8.64416 8.64416i −0.408855 0.408855i
\(448\) −3.42682 + 21.1207i −0.161902 + 0.997861i
\(449\) 2.92123i 0.137861i −0.997621 0.0689307i \(-0.978041\pi\)
0.997621 0.0689307i \(-0.0219587\pi\)
\(450\) −6.60492 + 13.5649i −0.311359 + 0.639457i
\(451\) 8.99386i 0.423504i
\(452\) −10.9077 0.585387i −0.513056 0.0275343i
\(453\) −13.4932 13.4932i −0.633967 0.633967i
\(454\) −1.36380 + 3.05798i −0.0640064 + 0.143518i
\(455\) 5.56306 2.19550i 0.260800 0.102927i
\(456\) −8.83871 + 2.85347i −0.413910 + 0.133626i
\(457\) −23.3601 + 23.3601i −1.09274 + 1.09274i −0.0975018 + 0.995235i \(0.531085\pi\)
−0.995235 + 0.0975018i \(0.968915\pi\)
\(458\) 12.3830 4.74445i 0.578618 0.221694i
\(459\) 18.7872 0.876911
\(460\) 5.20939 1.73950i 0.242889 0.0811048i
\(461\) 11.0916 0.516586 0.258293 0.966067i \(-0.416840\pi\)
0.258293 + 0.966067i \(0.416840\pi\)
\(462\) 5.38405 2.06287i 0.250489 0.0959732i
\(463\) 13.4705 13.4705i 0.626026 0.626026i −0.321040 0.947066i \(-0.604032\pi\)
0.947066 + 0.321040i \(0.104032\pi\)
\(464\) −31.7206 3.41454i −1.47259 0.158516i
\(465\) 6.46385 14.8921i 0.299754 0.690606i
\(466\) 13.0884 29.3474i 0.606307 1.35949i
\(467\) −7.11784 7.11784i −0.329374 0.329374i 0.522974 0.852348i \(-0.324822\pi\)
−0.852348 + 0.522974i \(0.824822\pi\)
\(468\) −0.228690 + 4.26126i −0.0105712 + 0.196977i
\(469\) 5.01885i 0.231749i
\(470\) 36.3113 + 1.58473i 1.67492 + 0.0730983i
\(471\) 5.05735i 0.233030i
\(472\) 20.3765 + 10.4307i 0.937904 + 0.480114i
\(473\) −8.46137 8.46137i −0.389054 0.389054i
\(474\) 17.5712 + 7.83641i 0.807070 + 0.359938i
\(475\) 12.8858 12.0473i 0.591240 0.552770i
\(476\) −15.6477 + 14.0538i −0.717213 + 0.644153i
\(477\) 1.17773 1.17773i 0.0539245 0.0539245i
\(478\) −9.91138 25.8686i −0.453336 1.18320i
\(479\) −36.7990 −1.68139 −0.840695 0.541508i \(-0.817853\pi\)
−0.840695 + 0.541508i \(0.817853\pi\)
\(480\) −11.6395 1.76923i −0.531270 0.0807537i
\(481\) −5.69626 −0.259727
\(482\) 0.386852 + 1.00968i 0.0176206 + 0.0459896i
\(483\) −2.16177 + 2.16177i −0.0983637 + 0.0983637i
\(484\) −12.3767 + 11.1159i −0.562578 + 0.505270i
\(485\) −0.0309428 0.0134305i −0.00140504 0.000609850i
\(486\) 20.8631 + 9.30456i 0.946370 + 0.422063i
\(487\) −0.572155 0.572155i −0.0259268 0.0259268i 0.694025 0.719951i \(-0.255836\pi\)
−0.719951 + 0.694025i \(0.755836\pi\)
\(488\) −21.2490 10.8774i −0.961896 0.492395i
\(489\) 11.5789i 0.523615i
\(490\) 0.328097 + 0.358042i 0.0148219 + 0.0161747i
\(491\) 7.77959i 0.351088i −0.984472 0.175544i \(-0.943832\pi\)
0.984472 0.175544i \(-0.0561684\pi\)
\(492\) −0.547841 + 10.2081i −0.0246986 + 0.460218i
\(493\) −22.1750 22.1750i −0.998714 0.998714i
\(494\) 2.03225 4.55681i 0.0914353 0.205020i
\(495\) −2.86844 7.26818i −0.128927 0.326680i
\(496\) −31.0224 3.33938i −1.39295 0.149943i
\(497\) 12.3105 12.3105i 0.552202 0.552202i
\(498\) −11.4299 + 4.37931i −0.512188 + 0.196241i
\(499\) −2.74891 −0.123058 −0.0615291 0.998105i \(-0.519598\pi\)
−0.0615291 + 0.998105i \(0.519598\pi\)
\(500\) 21.4355 6.36539i 0.958626 0.284669i
\(501\) 19.8780 0.888083
\(502\) 6.16595 2.36244i 0.275200 0.105441i
\(503\) 12.1149 12.1149i 0.540178 0.540178i −0.383403 0.923581i \(-0.625248\pi\)
0.923581 + 0.383403i \(0.125248\pi\)
\(504\) −15.3607 + 4.95901i −0.684218 + 0.220892i
\(505\) −6.85767 17.3763i −0.305162 0.773235i
\(506\) −1.15853 + 2.59771i −0.0515030 + 0.115482i
\(507\) 0.658144 + 0.658144i 0.0292292 + 0.0292292i
\(508\) −6.95170 0.373078i −0.308432 0.0165527i
\(509\) 19.3655i 0.858361i 0.903219 + 0.429180i \(0.141198\pi\)
−0.903219 + 0.429180i \(0.858802\pi\)
\(510\) −7.81851 8.53210i −0.346209 0.377808i
\(511\) 18.7504i 0.829469i
\(512\) 3.41335 + 22.3685i 0.150850 + 0.988557i
\(513\) −11.9203 11.9203i −0.526295 0.526295i
\(514\) −15.8280 7.05900i −0.698144 0.311359i
\(515\) 37.1997 + 16.1463i 1.63922 + 0.711493i
\(516\) −9.08834 10.1192i −0.400092 0.445471i
\(517\) −13.3101 + 13.3101i −0.585378 + 0.585378i
\(518\) −7.70875 20.1197i −0.338703 0.884011i
\(519\) −17.5941 −0.772297
\(520\) 4.88516 4.01687i 0.214228 0.176151i
\(521\) −35.2285 −1.54339 −0.771695 0.635993i \(-0.780591\pi\)
−0.771695 + 0.635993i \(0.780591\pi\)
\(522\) −8.61089 22.4743i −0.376889 0.983674i
\(523\) 17.8598 17.8598i 0.780954 0.780954i −0.199038 0.979992i \(-0.563782\pi\)
0.979992 + 0.199038i \(0.0637818\pi\)
\(524\) 1.87508 + 2.08775i 0.0819133 + 0.0912040i
\(525\) −9.09224 + 8.50063i −0.396818 + 0.370998i
\(526\) −14.6058 6.51390i −0.636842 0.284020i
\(527\) −21.6869 21.6869i −0.944698 0.944698i
\(528\) 4.74811 3.82523i 0.206635 0.166472i
\(529\) 21.4918i 0.934427i
\(530\) −2.46612 0.107629i −0.107122 0.00467510i
\(531\) 17.2685i 0.749387i
\(532\) 18.8453 + 1.01138i 0.817049 + 0.0438487i
\(533\) −3.88320 3.88320i −0.168200 0.168200i
\(534\) 7.42208 16.6421i 0.321185 0.720175i
\(535\) 2.81703 6.49018i 0.121791 0.280595i
\(536\) −1.63059 5.05079i −0.0704306 0.218161i
\(537\) −8.03179 + 8.03179i −0.346597 + 0.346597i
\(538\) −27.6033 + 10.5760i −1.19006 + 0.455965i
\(539\) −0.251508 −0.0108332
\(540\) −6.76807 20.2687i −0.291251 0.872226i
\(541\) 33.8314 1.45452 0.727262 0.686359i \(-0.240792\pi\)
0.727262 + 0.686359i \(0.240792\pi\)
\(542\) 28.0244 10.7374i 1.20375 0.461210i
\(543\) −8.46963 + 8.46963i −0.363466 + 0.363466i
\(544\) −11.1814 + 19.2270i −0.479397 + 0.824352i
\(545\) 8.52385 3.36400i 0.365122 0.144098i
\(546\) −1.43396 + 3.21529i −0.0613679 + 0.137602i
\(547\) 2.95286 + 2.95286i 0.126255 + 0.126255i 0.767411 0.641156i \(-0.221545\pi\)
−0.641156 + 0.767411i \(0.721545\pi\)
\(548\) 0.0747995 1.39377i 0.00319528 0.0595388i
\(549\) 18.0079i 0.768557i
\(550\) −5.06963 + 10.4118i −0.216170 + 0.443962i
\(551\) 28.1397i 1.19879i
\(552\) −1.47318 + 2.87786i −0.0627027 + 0.122490i
\(553\) −27.6432 27.6432i −1.17551 1.17551i
\(554\) −19.5022 8.69760i −0.828568 0.369526i
\(555\) 11.0275 4.35208i 0.468092 0.184736i
\(556\) 16.0177 14.3860i 0.679300 0.610101i
\(557\) 3.80718 3.80718i 0.161315 0.161315i −0.621834 0.783149i \(-0.713612\pi\)
0.783149 + 0.621834i \(0.213612\pi\)
\(558\) −8.42135 21.9796i −0.356504 0.930471i
\(559\) 7.30659 0.309036
\(560\) 20.7991 + 11.8188i 0.878921 + 0.499437i
\(561\) 5.99340 0.253041
\(562\) 13.5901 + 35.4699i 0.573263 + 1.49621i
\(563\) −31.6788 + 31.6788i −1.33510 + 1.33510i −0.434368 + 0.900736i \(0.643028\pi\)
−0.900736 + 0.434368i \(0.856972\pi\)
\(564\) −15.9179 + 14.2964i −0.670263 + 0.601985i
\(565\) −4.86259 + 11.2030i −0.204571 + 0.471313i
\(566\) 9.67402 + 4.31443i 0.406629 + 0.181349i
\(567\) −3.69497 3.69497i −0.155174 0.155174i
\(568\) 8.38926 16.3884i 0.352005 0.687644i
\(569\) 25.1606i 1.05479i −0.849621 0.527393i \(-0.823170\pi\)
0.849621 0.527393i \(-0.176830\pi\)
\(570\) −0.452765 + 10.3743i −0.0189643 + 0.434532i
\(571\) 42.4686i 1.77726i −0.458627 0.888629i \(-0.651659\pi\)
0.458627 0.888629i \(-0.348341\pi\)
\(572\) −0.175532 + 3.27074i −0.00733934 + 0.136757i
\(573\) 11.0965 + 11.0965i 0.463562 + 0.463562i
\(574\) 8.46071 18.9710i 0.353143 0.791834i
\(575\) 0.206369 6.13693i 0.00860618 0.255928i
\(576\) −13.8473 + 9.98113i −0.576969 + 0.415880i
\(577\) −16.1672 + 16.1672i −0.673048 + 0.673048i −0.958418 0.285370i \(-0.907884\pi\)
0.285370 + 0.958418i \(0.407884\pi\)
\(578\) 2.03451 0.779508i 0.0846243 0.0324233i
\(579\) 7.47227 0.310537
\(580\) −15.9352 + 31.9122i −0.661671 + 1.32508i
\(581\) 24.8713 1.03183
\(582\) 0.0185422 0.00710433i 0.000768599 0.000294484i
\(583\) 0.903970 0.903970i 0.0374386 0.0374386i
\(584\) −6.09186 18.8697i −0.252083 0.780834i
\(585\) 4.37660 + 1.89964i 0.180950 + 0.0785404i
\(586\) −9.88568 + 22.1661i −0.408374 + 0.915674i
\(587\) 12.3005 + 12.3005i 0.507697 + 0.507697i 0.913819 0.406122i \(-0.133119\pi\)
−0.406122 + 0.913819i \(0.633119\pi\)
\(588\) −0.285464 0.0153201i −0.0117723 0.000631789i
\(589\) 27.5203i 1.13396i
\(590\) 18.8688 17.2907i 0.776818 0.711848i
\(591\) 15.7698i 0.648684i
\(592\) −14.2946 17.7433i −0.587503 0.729243i
\(593\) 10.0432 + 10.0432i 0.412424 + 0.412424i 0.882582 0.470158i \(-0.155803\pi\)
−0.470158 + 0.882582i \(0.655803\pi\)
\(594\) 10.1072 + 4.50762i 0.414703 + 0.184950i
\(595\) 8.63236 + 21.8731i 0.353892 + 0.896709i
\(596\) 17.5524 + 19.5432i 0.718974 + 0.800522i
\(597\) −8.88116 + 8.88116i −0.363482 + 0.363482i
\(598\) −0.621383 1.62180i −0.0254102 0.0663204i
\(599\) −11.5903 −0.473568 −0.236784 0.971562i \(-0.576093\pi\)
−0.236784 + 0.971562i \(0.576093\pi\)
\(600\) −6.38830 + 11.5087i −0.260801 + 0.469842i
\(601\) −3.91441 −0.159672 −0.0798360 0.996808i \(-0.525440\pi\)
−0.0798360 + 0.996808i \(0.525440\pi\)
\(602\) 9.88802 + 25.8076i 0.403006 + 1.05184i
\(603\) 2.83113 2.83113i 0.115293 0.115293i
\(604\) 27.3987 + 30.5063i 1.11484 + 1.24128i
\(605\) 6.82784 + 17.3007i 0.277591 + 0.703374i
\(606\) 10.0430 + 4.47900i 0.407970 + 0.181947i
\(607\) −8.20464 8.20464i −0.333016 0.333016i 0.520715 0.853731i \(-0.325666\pi\)
−0.853731 + 0.520715i \(0.825666\pi\)
\(608\) 19.2938 5.10490i 0.782469 0.207031i
\(609\) 19.8555i 0.804584i
\(610\) −19.6768 + 18.0311i −0.796689 + 0.730057i
\(611\) 11.4936i 0.464981i
\(612\) −16.7546 0.899172i −0.677265 0.0363469i
\(613\) −23.7346 23.7346i −0.958631 0.958631i 0.0405471 0.999178i \(-0.487090\pi\)
−0.999178 + 0.0405471i \(0.987090\pi\)
\(614\) −13.8022 + 30.9480i −0.557013 + 1.24896i
\(615\) 10.4844 + 4.55071i 0.422773 + 0.183503i
\(616\) −11.7901 + 3.80631i −0.475038 + 0.153360i
\(617\) −22.7013 + 22.7013i −0.913921 + 0.913921i −0.996578 0.0826571i \(-0.973659\pi\)
0.0826571 + 0.996578i \(0.473659\pi\)
\(618\) −22.2916 + 8.54091i −0.896702 + 0.343566i
\(619\) −33.7105 −1.35494 −0.677471 0.735550i \(-0.736924\pi\)
−0.677471 + 0.735550i \(0.736924\pi\)
\(620\) −15.5844 + 31.2098i −0.625884 + 1.25341i
\(621\) −5.86803 −0.235476
\(622\) 2.81169 1.07728i 0.112739 0.0431951i
\(623\) −26.1816 + 26.1816i −1.04894 + 1.04894i
\(624\) −0.398461 + 3.70164i −0.0159512 + 0.148184i
\(625\) 1.67947 24.9435i 0.0671789 0.997741i
\(626\) 16.0939 36.0866i 0.643244 1.44231i
\(627\) −3.80276 3.80276i −0.151867 0.151867i
\(628\) 0.582373 10.8516i 0.0232392 0.433025i
\(629\) 22.3968i 0.893019i
\(630\) −0.786854 + 18.0294i −0.0313490 + 0.718307i
\(631\) 17.6344i 0.702013i 0.936373 + 0.351006i \(0.114160\pi\)
−0.936373 + 0.351006i \(0.885840\pi\)
\(632\) −36.8001 18.8380i −1.46383 0.749336i
\(633\) 14.6902 + 14.6902i 0.583885 + 0.583885i
\(634\) −9.42855 4.20496i −0.374456 0.167000i
\(635\) −3.09902 + 7.13987i −0.122981 + 0.283337i
\(636\) 1.08108 0.970953i 0.0428676 0.0385008i
\(637\) 0.108591 0.108591i 0.00430255 0.00430255i
\(638\) −6.60932 17.2502i −0.261666 0.682944i
\(639\) 13.8887 0.549429
\(640\) 24.7713 + 5.13657i 0.979170 + 0.203041i
\(641\) −1.15882 −0.0457705 −0.0228853 0.999738i \(-0.507285\pi\)
−0.0228853 + 0.999738i \(0.507285\pi\)
\(642\) 1.49012 + 3.88919i 0.0588103 + 0.153494i
\(643\) 0.553083 0.553083i 0.0218115 0.0218115i −0.696117 0.717928i \(-0.745090\pi\)
0.717928 + 0.696117i \(0.245090\pi\)
\(644\) 4.88744 4.38957i 0.192592 0.172973i
\(645\) −14.1450 + 5.58242i −0.556958 + 0.219807i
\(646\) 17.9167 + 7.99049i 0.704921 + 0.314382i
\(647\) 7.94092 + 7.94092i 0.312190 + 0.312190i 0.845757 0.533568i \(-0.179149\pi\)
−0.533568 + 0.845757i \(0.679149\pi\)
\(648\) −4.91896 2.51802i −0.193235 0.0989171i
\(649\) 13.2545i 0.520283i
\(650\) −2.30655 6.68430i −0.0904704 0.262180i
\(651\) 19.4184i 0.761068i
\(652\) −1.33335 + 24.8449i −0.0522181 + 0.973000i
\(653\) 22.2142 + 22.2142i 0.869311 + 0.869311i 0.992396 0.123085i \(-0.0392789\pi\)
−0.123085 + 0.992396i \(0.539279\pi\)
\(654\) −2.19715 + 4.92655i −0.0859153 + 0.192643i
\(655\) 2.91835 1.15175i 0.114029 0.0450025i
\(656\) 2.35101 21.8405i 0.0917916 0.852730i
\(657\) 10.5771 10.5771i 0.412651 0.412651i
\(658\) 40.5965 15.5543i 1.58262 0.606369i
\(659\) −3.57200 −0.139145 −0.0695727 0.997577i \(-0.522164\pi\)
−0.0695727 + 0.997577i \(0.522164\pi\)
\(660\) −2.15911 6.46602i −0.0840434 0.251689i
\(661\) 26.8543 1.04451 0.522256 0.852789i \(-0.325091\pi\)
0.522256 + 0.852789i \(0.325091\pi\)
\(662\) 9.87549 3.78373i 0.383822 0.147059i
\(663\) −2.58772 + 2.58772i −0.100499 + 0.100499i
\(664\) 25.0295 8.08050i 0.971335 0.313584i
\(665\) 8.40112 19.3554i 0.325782 0.750572i
\(666\) 7.00103 15.6980i 0.271284 0.608287i
\(667\) 6.92619 + 6.92619i 0.268183 + 0.268183i
\(668\) −42.6523 2.28903i −1.65027 0.0885651i
\(669\) 19.9778i 0.772388i
\(670\) −5.92829 0.258728i −0.229030 0.00999553i
\(671\) 13.8220i 0.533592i
\(672\) −13.6138 + 3.60203i −0.525163 + 0.138951i
\(673\) −15.5979 15.5979i −0.601256 0.601256i 0.339390 0.940646i \(-0.389779\pi\)
−0.940646 + 0.339390i \(0.889779\pi\)
\(674\) −29.4730 13.1444i −1.13526 0.506303i
\(675\) −23.8776 0.802941i −0.919048 0.0309052i
\(676\) −1.33639 1.48797i −0.0513998 0.0572296i
\(677\) −9.60445 + 9.60445i −0.369129 + 0.369129i −0.867159 0.498031i \(-0.834057\pi\)
0.498031 + 0.867159i \(0.334057\pi\)
\(678\) −2.57216 6.71329i −0.0987831 0.257822i
\(679\) −0.0403474 −0.00154839
\(680\) 15.7937 + 19.2077i 0.605661 + 0.736581i
\(681\) −2.20367 −0.0844449
\(682\) −6.46384 16.8705i −0.247513 0.646006i
\(683\) −26.8209 + 26.8209i −1.02627 + 1.02627i −0.0266268 + 0.999645i \(0.508477\pi\)
−0.999645 + 0.0266268i \(0.991523\pi\)
\(684\) 10.0601 + 11.2012i 0.384659 + 0.428287i
\(685\) −1.43149 0.621332i −0.0546946 0.0237399i
\(686\) −23.6510 10.5479i −0.902999 0.402721i
\(687\) 6.17126 + 6.17126i 0.235448 + 0.235448i
\(688\) 18.3356 + 22.7593i 0.699040 + 0.867689i
\(689\) 0.780599i 0.0297385i
\(690\) 2.44205 + 2.66493i 0.0929671 + 0.101452i
\(691\) 17.8773i 0.680085i 0.940410 + 0.340043i \(0.110442\pi\)
−0.940410 + 0.340043i \(0.889558\pi\)
\(692\) 37.7518 + 2.02603i 1.43511 + 0.0770182i
\(693\) −6.60875 6.60875i −0.251046 0.251046i
\(694\) −0.927276 + 2.07918i −0.0351989 + 0.0789247i
\(695\) −8.83643 22.3902i −0.335185 0.849307i
\(696\) −6.45089 19.9818i −0.244521 0.757409i
\(697\) 15.2682 15.2682i 0.578322 0.578322i
\(698\) 37.7225 14.4532i 1.42782 0.547060i
\(699\) 21.1486 0.799912
\(700\) 20.4881 17.1928i 0.774379 0.649828i
\(701\) −5.70121 −0.215332 −0.107666 0.994187i \(-0.534338\pi\)
−0.107666 + 0.994187i \(0.534338\pi\)
\(702\) −6.31011 + 2.41768i −0.238160 + 0.0912494i
\(703\) −14.2106 + 14.2106i −0.535962 + 0.535962i
\(704\) −10.6285 + 7.66106i −0.400577 + 0.288737i
\(705\) 8.78138 + 22.2507i 0.330726 + 0.838009i
\(706\) 14.7017 32.9647i 0.553304 1.24064i
\(707\) −15.7998 15.7998i −0.594212 0.594212i
\(708\) −0.807367 + 15.0440i −0.0303427 + 0.565387i
\(709\) 16.2277i 0.609445i −0.952441 0.304723i \(-0.901436\pi\)
0.952441 0.304723i \(-0.0985638\pi\)
\(710\) −13.9066 15.1759i −0.521906 0.569540i
\(711\) 31.1870i 1.16960i
\(712\) −17.8420 + 34.8544i −0.668657 + 1.30622i
\(713\) 6.77373 + 6.77373i 0.253678 + 0.253678i
\(714\) −12.6420 5.63811i −0.473116 0.211001i
\(715\) 3.35928 + 1.45808i 0.125630 + 0.0545289i
\(716\) 18.1587 16.3090i 0.678624 0.609494i
\(717\) 12.8920 12.8920i 0.481462 0.481462i
\(718\) 3.12981 + 8.16876i 0.116803 + 0.304855i
\(719\) 14.0007 0.522137 0.261068 0.965320i \(-0.415925\pi\)
0.261068 + 0.965320i \(0.415925\pi\)
\(720\) 5.06575 + 18.3997i 0.188789 + 0.685718i
\(721\) 48.5061 1.80646
\(722\) 3.31555 + 8.65355i 0.123392 + 0.322052i
\(723\) −0.503190 + 0.503190i −0.0187138 + 0.0187138i
\(724\) 19.1486 17.1980i 0.711653 0.639159i
\(725\) 27.2356 + 29.1311i 1.01151 + 1.08190i
\(726\) −9.99933 4.45951i −0.371110 0.165508i
\(727\) −10.0262 10.0262i −0.371852 0.371852i 0.496299 0.868151i \(-0.334692\pi\)
−0.868151 + 0.496299i \(0.834692\pi\)
\(728\) 3.44711 6.73394i 0.127758 0.249577i
\(729\) 9.17338i 0.339755i
\(730\) −22.1481 0.966606i −0.819737 0.0357757i
\(731\) 28.7284i 1.06256i
\(732\) 0.841937 15.6881i 0.0311189 0.579850i
\(733\) −4.28988 4.28988i −0.158450 0.158450i 0.623429 0.781880i \(-0.285739\pi\)
−0.781880 + 0.623429i \(0.785739\pi\)
\(734\) −15.6613 + 35.1165i −0.578069 + 1.29617i
\(735\) −0.127258 + 0.293191i −0.00469398 + 0.0108145i
\(736\) 3.49240 6.00540i 0.128732 0.221362i
\(737\) 2.17304 2.17304i 0.0800451 0.0800451i
\(738\) 15.4742 5.92885i 0.569613 0.218244i
\(739\) 41.3148 1.51979 0.759895 0.650045i \(-0.225250\pi\)
0.759895 + 0.650045i \(0.225250\pi\)
\(740\) −24.1629 + 8.06842i −0.888247 + 0.296601i
\(741\) 3.28377 0.120632
\(742\) −2.75715 + 1.05639i −0.101218 + 0.0387812i
\(743\) 0.849593 0.849593i 0.0311686 0.0311686i −0.691351 0.722519i \(-0.742984\pi\)
0.722519 + 0.691351i \(0.242984\pi\)
\(744\) −6.30890 19.5420i −0.231296 0.716444i
\(745\) 27.3184 10.7814i 1.00087 0.394999i
\(746\) 10.7301 24.0596i 0.392858 0.880883i
\(747\) 14.0299 + 14.0299i 0.513326 + 0.513326i
\(748\) −12.8601 0.690163i −0.470210 0.0252349i
\(749\) 8.46280i 0.309224i
\(750\) 9.57228 + 11.1780i 0.349530 + 0.408163i
\(751\) 29.7557i 1.08580i 0.839797 + 0.542900i \(0.182674\pi\)
−0.839797 + 0.542900i \(0.817326\pi\)
\(752\) 35.8013 28.8428i 1.30554 1.05179i
\(753\) 3.07291 + 3.07291i 0.111983 + 0.111983i
\(754\) 10.3016 + 4.59434i 0.375164 + 0.167316i
\(755\) 42.6430 16.8293i 1.55194 0.612482i
\(756\) −17.0790 19.0161i −0.621156 0.691608i
\(757\) −3.39816 + 3.39816i −0.123508 + 0.123508i −0.766159 0.642651i \(-0.777835\pi\)
0.642651 + 0.766159i \(0.277835\pi\)
\(758\) −3.37788 8.81622i −0.122690 0.320220i
\(759\) −1.87199 −0.0679489
\(760\) 2.16614 22.2081i 0.0785743 0.805571i
\(761\) −30.3122 −1.09882 −0.549409 0.835554i \(-0.685147\pi\)
−0.549409 + 0.835554i \(0.685147\pi\)
\(762\) −1.63928 4.27851i −0.0593850 0.154994i
\(763\) 7.75051 7.75051i 0.280587 0.280587i
\(764\) −22.5320 25.0876i −0.815178 0.907637i
\(765\) −7.46909 + 17.2081i −0.270045 + 0.622161i
\(766\) −33.1116 14.7671i −1.19637 0.533559i
\(767\) −5.72277 5.72277i −0.206637 0.206637i
\(768\) −12.5301 + 8.04797i −0.452143 + 0.290406i
\(769\) 33.2340i 1.19845i −0.800581 0.599225i \(-0.795475\pi\)
0.800581 0.599225i \(-0.204525\pi\)
\(770\) −0.603953 + 13.8385i −0.0217650 + 0.498705i
\(771\) 11.4061i 0.410782i
\(772\) −16.0333 0.860461i −0.577051 0.0309687i
\(773\) 0.351564 + 0.351564i 0.0126449 + 0.0126449i 0.713401 0.700756i \(-0.247154\pi\)
−0.700756 + 0.713401i \(0.747154\pi\)
\(774\) −8.98022 + 20.1359i −0.322787 + 0.723769i
\(775\) 26.6361