Properties

Label 260.2.o.a.183.33
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 183.33
Character \(\chi\) \(=\) 260.183
Dual form 260.2.o.a.27.33

$q$-expansion

\(f(q)\) \(=\) \(q+(1.32060 + 0.505980i) q^{2} +(-0.658144 + 0.658144i) q^{3} +(1.48797 + 1.33639i) q^{4} +(0.820865 + 2.07995i) q^{5} +(-1.20215 + 0.536137i) q^{6} +(-1.89124 - 1.89124i) q^{7} +(1.28882 + 2.51772i) q^{8} +2.13369i q^{9} +O(q^{10})\) \(q+(1.32060 + 0.505980i) 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} +(1.28882 + 2.51772i) q^{8} +2.13369i q^{9} +(0.0316238 + 3.16212i) q^{10} -1.63773i q^{11} +(-1.85884 + 0.0997585i) 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} +(-1.07961 + 2.81776i) q^{18} +3.52807 q^{19} +(-1.55821 + 4.19190i) q^{20} +2.48941 q^{21} +(0.828656 - 2.16278i) 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} +(-0.286666 - 5.34155i) q^{28} -7.97596i q^{29} +(-2.10194 - 2.06032i) q^{30} +7.80040i q^{31} +(-1.44694 + 5.46867i) 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} +(4.65917 + 1.78513i) q^{38} +0.930756 q^{39} +(-4.17878 + 4.74740i) q^{40} +5.49168 q^{41} +(3.28752 + 1.25959i) 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} +(-2.89921 - 2.33570i) q^{48} +0.153571i q^{49} +(-6.55108 + 2.66145i) q^{50} +3.65959i q^{51} +(-0.107180 - 1.99713i) 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} +(4.03567 - 10.5331i) q^{58} -8.09322 q^{59} +(-1.73335 - 3.78439i) q^{60} -8.43976 q^{61} +(-3.94684 + 10.3012i) 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} +(7.85239 - 0.421416i) q^{68} +1.14304i q^{69} +(5.92052 - 6.04013i) q^{70} +6.50923i q^{71} +(-5.37205 + 2.74996i) 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} +(1.22916 + 0.470943i) q^{78} +14.6164 q^{79} +(-7.92059 + 4.15504i) q^{80} -1.95373 q^{81} +(7.25231 + 2.77868i) 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} +(4.12334 - 2.11074i) q^{88} +13.8436i q^{89} +(-6.74700 + 0.0674755i) q^{90} +2.67462i q^{91} +(2.45263 - 0.131626i) 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} +(-0.0777041 + 0.202807i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.32060 + 0.505980i 0.933805 + 0.357782i
\(3\) −0.658144 + 0.658144i −0.379979 + 0.379979i −0.871095 0.491115i \(-0.836589\pi\)
0.491115 + 0.871095i \(0.336589\pi\)
\(4\) 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 0.252719 0.967540i \(-0.418675\pi\)
−0.967540 + 0.252719i \(0.918675\pi\)
\(8\) 1.28882 + 2.51772i 0.455668 + 0.890150i
\(9\) 2.13369i 0.711231i
\(10\) 0.0316238 + 3.16212i 0.0100003 + 0.999950i
\(11\) 1.63773i 0.493793i −0.969042 0.246896i \(-0.920589\pi\)
0.969042 0.246896i \(-0.0794107\pi\)
\(12\) −1.85884 + 0.0997585i −0.536600 + 0.0287978i
\(13\) −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 \(0.0917943\pi\)
\(18\) −1.07961 + 2.81776i −0.254466 + 0.664152i
\(19\) 3.52807 0.809394 0.404697 0.914451i \(-0.367377\pi\)
0.404697 + 0.914451i \(0.367377\pi\)
\(20\) −1.55821 + 4.19190i −0.348425 + 0.937337i
\(21\) 2.48941 0.543235
\(22\) 0.828656 2.16278i 0.176670 0.461106i
\(23\) 0.868383 0.868383i 0.181070 0.181070i −0.610752 0.791822i \(-0.709133\pi\)
0.791822 + 0.610752i \(0.209133\pi\)
\(24\) −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
\(28\) −0.286666 5.34155i −0.0541747 1.00946i
\(29\) 7.97596i 1.48110i −0.672002 0.740549i \(-0.734565\pi\)
0.672002 0.740549i \(-0.265435\pi\)
\(30\) −2.10194 2.06032i −0.383760 0.376160i
\(31\) 7.80040i 1.40099i 0.713656 + 0.700496i \(0.247038\pi\)
−0.713656 + 0.700496i \(0.752962\pi\)
\(32\) −1.44694 + 5.46867i −0.255785 + 0.966734i
\(33\) 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 \(0.0948921\pi\)
\(38\) 4.65917 + 1.78513i 0.755817 + 0.289586i
\(39\) 0.930756 0.149040
\(40\) −4.17878 + 4.74740i −0.660723 + 0.750630i
\(41\) 5.49168 0.857656 0.428828 0.903386i \(-0.358927\pi\)
0.428828 + 0.903386i \(0.358927\pi\)
\(42\) 3.28752 + 1.25959i 0.507275 + 0.194359i
\(43\) 5.16654 5.16654i 0.787890 0.787890i −0.193258 0.981148i \(-0.561905\pi\)
0.981148 + 0.193258i \(0.0619055\pi\)
\(44\) 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 \(-0.933576\pi\)
−0.207167 0.978306i \(-0.566424\pi\)
\(48\) −2.89921 2.33570i −0.418465 0.337129i
\(49\) 0.153571i 0.0219388i
\(50\) −6.55108 + 2.66145i −0.926463 + 0.376386i
\(51\) 3.65959i 0.512445i
\(52\) −0.107180 1.99713i −0.0148632 0.276952i
\(53\) −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
\(58\) 4.03567 10.5331i 0.529910 1.38306i
\(59\) −8.09322 −1.05365 −0.526824 0.849975i \(-0.676617\pi\)
−0.526824 + 0.849975i \(0.676617\pi\)
\(60\) −1.73335 3.78439i −0.223774 0.488563i
\(61\) −8.43976 −1.08060 −0.540300 0.841472i \(-0.681689\pi\)
−0.540300 + 0.841472i \(0.681689\pi\)
\(62\) −3.94684 + 10.3012i −0.501249 + 1.30825i
\(63\) 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 0.783498 0.621395i \(-0.213434\pi\)
−0.621395 + 0.783498i \(0.713434\pi\)
\(68\) 7.85239 0.421416i 0.952242 0.0511041i
\(69\) 1.14304i 0.137606i
\(70\) 5.92052 6.04013i 0.707637 0.721934i
\(71\) 6.50923i 0.772504i 0.922393 + 0.386252i \(0.126230\pi\)
−0.922393 + 0.386252i \(0.873770\pi\)
\(72\) −5.37205 + 2.74996i −0.633102 + 0.324085i
\(73\) −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
\(78\) 1.22916 + 0.470943i 0.139175 + 0.0533238i
\(79\) 14.6164 1.64448 0.822238 0.569143i \(-0.192725\pi\)
0.822238 + 0.569143i \(0.192725\pi\)
\(80\) −7.92059 + 4.15504i −0.885548 + 0.464547i
\(81\) −1.95373 −0.217081
\(82\) 7.25231 + 2.77868i 0.800884 + 0.306854i
\(83\) −6.57539 + 6.57539i −0.721743 + 0.721743i −0.968960 0.247217i \(-0.920484\pi\)
0.247217 + 0.968960i \(0.420484\pi\)
\(84\) 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
\(88\) 4.12334 2.11074i 0.439549 0.225006i
\(89\) 13.8436i 1.46742i 0.679462 + 0.733710i \(0.262213\pi\)
−0.679462 + 0.733710i \(0.737787\pi\)
\(90\) −6.74700 + 0.0674755i −0.711196 + 0.00711254i
\(91\) 2.67462i 0.280376i
\(92\) 2.45263 0.131626i 0.255704 0.0137229i
\(93\) −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 \(0.250244\pi\)
\(98\) −0.0777041 + 0.202807i −0.00784929 + 0.0204866i
\(99\) 3.49440 0.351201
\(100\) −9.99800 + 0.199996i −0.999800 + 0.0199996i
\(101\) −8.35420 −0.831274 −0.415637 0.909531i \(-0.636441\pi\)
−0.415637 + 0.909531i \(0.636441\pi\)
\(102\) −1.85168 + 4.83285i −0.183343 + 0.478524i
\(103\) −12.8239 + 12.8239i −1.26358 + 1.26358i −0.314230 + 0.949347i \(0.601746\pi\)
−0.949347 + 0.314230i \(0.898254\pi\)
\(104\) 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 0.806935 0.590640i \(-0.201125\pi\)
−0.590640 + 0.806935i \(0.701125\pi\)
\(108\) −0.512130 9.54270i −0.0492797 0.918246i
\(109\) 4.09811i 0.392528i −0.980551 0.196264i \(-0.937119\pi\)
0.980551 0.196264i \(-0.0628809\pi\)
\(110\) 5.17868 0.0517911i 0.493768 0.00493809i
\(111\) 5.30182i 0.503227i
\(112\) 6.71186 8.33115i 0.634211 0.787220i
\(113\) 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
\(118\) −10.6879 4.09501i −0.983902 0.376976i
\(119\) −10.5162 −0.964016
\(120\) −0.374232 5.87471i −0.0341625 0.536285i
\(121\) 8.31786 0.756169
\(122\) −11.1455 4.27035i −1.00907 0.386619i
\(123\) −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 0.589419 0.807827i \(-0.299357\pi\)
−0.807827 + 0.589419i \(0.799357\pi\)
\(128\) −9.46130 + 6.20353i −0.836269 + 0.548320i
\(129\) 6.80065i 0.598764i
\(130\) 2.21359 2.25832i 0.194145 0.198068i
\(131\) 1.40309i 0.122589i 0.998120 + 0.0612943i \(0.0195228\pi\)
−0.998120 + 0.0612943i \(0.980477\pi\)
\(132\) 0.163377 + 3.04426i 0.0142201 + 0.264969i
\(133\) −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 \(0.259491\pi\)
\(138\) −0.578356 + 1.50950i −0.0492329 + 0.128497i
\(139\) 10.7648 0.913056 0.456528 0.889709i \(-0.349093\pi\)
0.456528 + 0.889709i \(0.349093\pi\)
\(140\) 10.8748 4.98094i 0.919090 0.420966i
\(141\) 10.6977 0.900910
\(142\) −3.29354 + 8.59609i −0.276388 + 0.721368i
\(143\) −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
\(148\) 11.3761 0.610525i 0.935113 0.0501849i
\(149\) 13.1342i 1.07599i −0.842947 0.537996i \(-0.819182\pi\)
0.842947 0.537996i \(-0.180818\pi\)
\(150\) 2.55994 6.06317i 0.209018 0.495056i
\(151\) 20.5019i 1.66842i 0.551443 + 0.834212i \(0.314077\pi\)
−0.551443 + 0.834212i \(0.685923\pi\)
\(152\) 4.54706 + 8.88270i 0.368815 + 0.720482i
\(153\) 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 \(0.319570\pi\)
\(158\) 19.3025 + 7.39562i 1.53562 + 0.588364i
\(159\) 0.726547 0.0576189
\(160\) −12.5623 + 1.47949i −0.993136 + 0.116964i
\(161\) −3.28464 −0.258866
\(162\) −2.58010 0.988549i −0.202712 0.0776677i
\(163\) −8.79662 + 8.79662i −0.689005 + 0.689005i −0.962012 0.273007i \(-0.911982\pi\)
0.273007 + 0.962012i \(0.411982\pi\)
\(164\) 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 \(-0.940430\pi\)
−0.186054 0.982539i \(-0.559570\pi\)
\(168\) 3.20842 + 6.26766i 0.247535 + 0.483560i
\(169\) 1.00000i 0.0769231i
\(170\) 8.87936 + 8.70351i 0.681015 + 0.667529i
\(171\) 7.52782i 0.575667i
\(172\) 14.5922 0.783121i 1.11264 0.0597124i
\(173\) −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
\(178\) −7.00459 + 18.2819i −0.525016 + 1.37029i
\(179\) 12.2037 0.912148 0.456074 0.889942i \(-0.349255\pi\)
0.456074 + 0.889942i \(0.349255\pi\)
\(180\) −8.94422 3.32473i −0.666663 0.247811i
\(181\) −12.8690 −0.956543 −0.478271 0.878212i \(-0.658736\pi\)
−0.478271 + 0.878212i \(0.658736\pi\)
\(182\) −1.35330 + 3.53210i −0.100313 + 0.261817i
\(183\) 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
\(188\) −1.23188 22.9541i −0.0898443 1.67410i
\(189\) 12.7799i 0.929600i
\(190\) 0.111571 + 11.1562i 0.00809420 + 0.809354i
\(191\) 16.8603i 1.21997i −0.792414 0.609984i \(-0.791176\pi\)
0.792414 0.609984i \(-0.208824\pi\)
\(192\) −1.19252 7.34993i −0.0860626 0.530436i
\(193\) 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 \(0.456256\pi\)
\(198\) 4.61471 + 1.76810i 0.327953 + 0.125653i
\(199\) 13.4943 0.956583 0.478291 0.878201i \(-0.341256\pi\)
0.478291 + 0.878201i \(0.341256\pi\)
\(200\) −13.3046 4.79467i −0.940774 0.339034i
\(201\) −1.74654 −0.123191
\(202\) −11.0326 4.22705i −0.776248 0.297415i
\(203\) −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
\(208\) 2.50947 3.11490i 0.174000 0.215979i
\(209\) 5.77800i 0.399673i
\(210\) 0.0787247 + 7.87182i 0.00543252 + 0.543207i
\(211\) 22.3207i 1.53662i −0.640077 0.768311i \(-0.721097\pi\)
0.640077 0.768311i \(-0.278903\pi\)
\(212\) −0.0836647 1.55896i −0.00574612 0.107070i
\(213\) −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
\(218\) 2.07356 5.41196i 0.140439 0.366544i
\(219\) 6.52506 0.440923
\(220\) 6.86517 + 2.55191i 0.462850 + 0.172050i
\(221\) −3.93185 −0.264485
\(222\) −2.68261 + 7.00159i −0.180045 + 0.469916i
\(223\) 15.1774 15.1774i 1.01635 1.01635i 0.0164909 0.999864i \(-0.494751\pi\)
0.999864 0.0164909i \(-0.00524946\pi\)
\(224\) 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 0.760480 0.649362i \(-0.224964\pi\)
−0.649362 + 0.760480i \(0.724964\pi\)
\(228\) −6.55810 + 0.351955i −0.434321 + 0.0233088i
\(229\) 9.37677i 0.619634i 0.950796 + 0.309817i \(0.100268\pi\)
−0.950796 + 0.309817i \(0.899732\pi\)
\(230\) 2.77339 + 2.71847i 0.182872 + 0.179251i
\(231\) 4.07698i 0.268245i
\(232\) 20.0813 10.2796i 1.31840 0.674889i
\(233\) 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
\(238\) −13.8877 5.32097i −0.900204 0.344907i
\(239\) −19.5885 −1.26707 −0.633537 0.773712i \(-0.718398\pi\)
−0.633537 + 0.773712i \(0.718398\pi\)
\(240\) 2.47827 7.94749i 0.159972 0.513008i
\(241\) −0.764560 −0.0492496 −0.0246248 0.999697i \(-0.507839\pi\)
−0.0246248 + 0.999697i \(0.507839\pi\)
\(242\) 10.9846 + 4.20867i 0.706114 + 0.270543i
\(243\) 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
\(248\) −19.6392 + 10.0533i −1.24709 + 0.638388i
\(249\) 8.65511i 0.548495i
\(250\) −10.9132 11.4412i −0.690213 0.723606i
\(251\) 4.66905i 0.294708i −0.989084 0.147354i \(-0.952924\pi\)
0.989084 0.147354i \(-0.0470756\pi\)
\(252\) 11.3972 0.611657i 0.717958 0.0385308i
\(253\) −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 \(0.125162\pi\)
\(258\) −3.44099 + 8.98094i −0.214227 + 0.559129i
\(259\) −15.2353 −0.946675
\(260\) 4.06594 1.86230i 0.252159 0.115495i
\(261\) 17.0183 1.05340
\(262\) −0.709935 + 1.85292i −0.0438599 + 0.114474i
\(263\) −7.99625 + 7.99625i −0.493070 + 0.493070i −0.909272 0.416202i \(-0.863361\pi\)
0.416202 + 0.909272i \(0.363361\pi\)
\(264\) −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
\(268\) 0.201121 + 3.74756i 0.0122854 + 0.228918i
\(269\) 20.9021i 1.27442i −0.770689 0.637211i \(-0.780088\pi\)
0.770689 0.637211i \(-0.219912\pi\)
\(270\) 10.5770 10.7907i 0.643698 0.656703i
\(271\) 21.2210i 1.28908i −0.764570 0.644541i \(-0.777049\pi\)
0.764570 0.644541i \(-0.222951\pi\)
\(272\) 12.2473 + 9.86683i 0.742601 + 0.598265i
\(273\) −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 \(0.100133\pi\)
\(278\) 14.2160 + 5.44676i 0.852617 + 0.326675i
\(279\) −16.6437 −0.996430
\(280\) 16.8815 1.07539i 1.00886 0.0642669i
\(281\) −26.8589 −1.60227 −0.801135 0.598484i \(-0.795770\pi\)
−0.801135 + 0.598484i \(0.795770\pi\)
\(282\) 14.1274 + 5.41283i 0.841275 + 0.322329i
\(283\) 5.29625 5.29625i 0.314829 0.314829i −0.531948 0.846777i \(-0.678540\pi\)
0.846777 + 0.531948i \(0.178540\pi\)
\(284\) −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
\(288\) −11.6685 3.08733i −0.687571 0.181922i
\(289\) 1.54059i 0.0906230i
\(290\) 25.2209 0.252230i 1.48102 0.0148115i
\(291\) 0.0140407i 0.000823083i
\(292\) −0.751386 14.0008i −0.0439715 0.819338i
\(293\) −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
\(298\) 6.64562 17.3450i 0.384970 1.00477i
\(299\) −1.22808 −0.0710217
\(300\) 6.44849 6.71175i 0.372304 0.387503i
\(301\) −19.5423 −1.12640
\(302\) −10.3736 + 27.0749i −0.596932 + 1.55798i
\(303\) 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 0.999473 0.0324756i \(-0.0103391\pi\)
−0.0324756 + 0.999473i \(0.510339\pi\)
\(308\) −8.74798 + 0.469480i −0.498463 + 0.0267511i
\(309\) 16.8799i 0.960266i
\(310\) −24.6658 + 0.246678i −1.40092 + 0.0140104i
\(311\) 2.12910i 0.120730i −0.998176 0.0603652i \(-0.980773\pi\)
0.998176 0.0603652i \(-0.0192265\pi\)
\(312\) 1.19958 + 2.34339i 0.0679129 + 0.132668i
\(313\) 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 \(0.184279\pi\)
\(318\) 0.959478 + 0.367618i 0.0538049 + 0.0206150i
\(319\) −13.0624 −0.731356
\(320\) −17.3384 4.40245i −0.969243 0.246105i
\(321\) −2.94502 −0.164375
\(322\) −4.33770 1.66196i −0.241730 0.0926175i
\(323\) 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
\(328\) 7.07781 + 13.8265i 0.390806 + 0.763442i
\(329\) 30.7409i 1.69480i
\(330\) −3.37423 + 3.44240i −0.185745 + 0.189498i
\(331\) 7.47804i 0.411030i −0.978654 0.205515i \(-0.934113\pi\)
0.978654 0.205515i \(-0.0658869\pi\)
\(332\) −18.5713 + 0.996669i −1.01923 + 0.0546993i
\(333\) 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 \(0.0365152\pi\)
\(338\) −0.505980 + 1.32060i −0.0275217 + 0.0718312i
\(339\) −5.08352 −0.276099
\(340\) 7.32228 + 15.9866i 0.397106 + 0.866997i
\(341\) 12.7749 0.691800
\(342\) −3.80892 + 9.94124i −0.205963 + 0.537560i
\(343\) −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 0.737000 0.675893i \(-0.236242\pi\)
−0.675893 + 0.737000i \(0.736242\pi\)
\(348\) 0.795670 + 14.8260i 0.0426524 + 0.794757i
\(349\) 28.5647i 1.52903i 0.644604 + 0.764517i \(0.277022\pi\)
−0.644604 + 0.764517i \(0.722978\pi\)
\(350\) 17.4231 + 7.35623i 0.931304 + 0.393207i
\(351\) 4.77821i 0.255042i
\(352\) 8.95618 + 2.36969i 0.477366 + 0.126305i
\(353\) 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
\(358\) 16.1162 + 6.17483i 0.851769 + 0.326350i
\(359\) 6.18564 0.326466 0.163233 0.986588i \(-0.447808\pi\)
0.163233 + 0.986588i \(0.447808\pi\)
\(360\) −10.1295 8.91624i −0.533871 0.469927i
\(361\) −6.55274 −0.344881
\(362\) −16.9948 6.51143i −0.893225 0.342233i
\(363\) −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 \(0.00113248\pi\)
0.00355779 + 0.999994i \(0.498868\pi\)
\(368\) 3.82534 + 3.08182i 0.199410 + 0.160651i
\(369\) 11.7176i 0.609992i
\(370\) 12.8640 + 12.6092i 0.668765 + 0.655521i
\(371\) 2.08780i 0.108393i
\(372\) −0.778156 14.4997i −0.0403455 0.751772i
\(373\) 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
\(378\) −6.46636 + 16.8771i −0.332594 + 0.868066i
\(379\) −6.67592 −0.342919 −0.171460 0.985191i \(-0.554848\pi\)
−0.171460 + 0.985191i \(0.554848\pi\)
\(380\) −5.49746 + 14.7893i −0.282014 + 0.758675i
\(381\) 3.23982 0.165981
\(382\) 8.53096 22.2657i 0.436482 1.13921i
\(383\) −18.1276 + 18.1276i −0.926279 + 0.926279i −0.997463 0.0711841i \(-0.977322\pi\)
0.0711841 + 0.997463i \(0.477322\pi\)
\(384\) 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
\(388\) −0.0301273 + 0.00161685i −0.00152948 + 8.20829e-5i
\(389\) 35.4186i 1.79579i −0.440205 0.897897i \(-0.645094\pi\)
0.440205 0.897897i \(-0.354906\pi\)
\(390\) 0.0294340 + 2.94316i 0.00149045 + 0.149033i
\(391\) 4.82862i 0.244194i
\(392\) −0.386651 + 0.197927i −0.0195288 + 0.00999681i
\(393\) −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 \(0.364071\pi\)
\(398\) 17.8205 + 6.82782i 0.893262 + 0.342248i
\(399\) 8.78282 0.439691
\(400\) −15.1440 13.0637i −0.757199 0.653184i
\(401\) 10.1583 0.507281 0.253641 0.967299i \(-0.418372\pi\)
0.253641 + 0.967299i \(0.418372\pi\)
\(402\) −2.30648 0.883713i −0.115037 0.0440756i
\(403\) 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
\(408\) −9.21383 + 4.71656i −0.456153 + 0.233505i
\(409\) 5.50011i 0.271963i 0.990711 + 0.135982i \(0.0434188\pi\)
−0.990711 + 0.135982i \(0.956581\pi\)
\(410\) 0.173668 + 17.3653i 0.00857684 + 0.857613i
\(411\) 0.649562i 0.0320405i
\(412\) −36.2194 + 1.94379i −1.78440 + 0.0957637i
\(413\) 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
\(418\) 2.92355 7.63043i 0.142996 0.373217i
\(419\) −18.5620 −0.906815 −0.453407 0.891303i \(-0.649792\pi\)
−0.453407 + 0.891303i \(0.649792\pi\)
\(420\) −3.87902 + 10.4354i −0.189277 + 0.509194i
\(421\) 10.2994 0.501962 0.250981 0.967992i \(-0.419247\pi\)
0.250981 + 0.967992i \(0.419247\pi\)
\(422\) 11.2938 29.4768i 0.549775 1.43491i
\(423\) 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
\(428\) 0.339130 + 6.31914i 0.0163925 + 0.305447i
\(429\) 1.52432i 0.0735950i
\(430\) 16.5006 + 16.1738i 0.795730 + 0.779971i
\(431\) 13.4505i 0.647889i 0.946076 + 0.323944i \(0.105009\pi\)
−0.946076 + 0.323944i \(0.894991\pi\)
\(432\) 11.9908 14.8836i 0.576906 0.716090i
\(433\) −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
\(438\) 8.61700 + 3.30155i 0.411736 + 0.157754i
\(439\) −5.70933 −0.272491 −0.136246 0.990675i \(-0.543504\pi\)
−0.136246 + 0.990675i \(0.543504\pi\)
\(440\) 7.77493 + 6.84369i 0.370655 + 0.326260i
\(441\) −0.327675 −0.0156036
\(442\) −5.19240 1.98943i −0.246977 0.0946277i
\(443\) 21.3935 21.3935i 1.01644 1.01644i 0.0165752 0.999863i \(-0.494724\pi\)
0.999863 0.0165752i \(-0.00527628\pi\)
\(444\) −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
\(448\) 21.1207 3.42682i 0.997861 0.161902i
\(449\) 2.92123i 0.137861i −0.997621 0.0689307i \(-0.978041\pi\)
0.997621 0.0689307i \(-0.0219587\pi\)
\(450\) −5.67872 13.9780i −0.267697 0.658930i
\(451\) 8.99386i 0.423504i
\(452\) 0.585387 + 10.9077i 0.0275343 + 0.513056i
\(453\) −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 \(0.968915\pi\)
\(458\) −4.74445 + 12.3830i −0.221694 + 0.578618i
\(459\) −18.7872 −0.876911
\(460\) 2.28705 + 4.99329i 0.106634 + 0.232813i
\(461\) 11.0916 0.516586 0.258293 0.966067i \(-0.416840\pi\)
0.258293 + 0.966067i \(0.416840\pi\)
\(462\) 2.06287 5.38405i 0.0959732 0.250489i
\(463\) −13.4705 + 13.4705i −0.626026 + 0.626026i −0.947066 0.321040i \(-0.895968\pi\)
0.321040 + 0.947066i \(0.395968\pi\)
\(464\) 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 0.852348 0.522974i \(-0.175178\pi\)
−0.522974 + 0.852348i \(0.675178\pi\)
\(468\) 4.26126 0.228690i 0.196977 0.0105712i
\(469\) 5.01885i 0.231749i
\(470\) 25.4421 25.9562i 1.17356 1.19727i
\(471\) 5.05735i 0.233030i
\(472\) −10.4307 20.3765i −0.480114 0.937904i
\(473\) −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
\(478\) −25.8686 9.91138i −1.18320 0.453336i
\(479\) 36.7990 1.68139 0.840695 0.541508i \(-0.182147\pi\)
0.840695 + 0.541508i \(0.182147\pi\)
\(480\) 7.29408 9.24150i 0.332928 0.421815i
\(481\) −5.69626 −0.259727
\(482\) −1.00968 0.386852i −0.0459896 0.0176206i
\(483\) 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 0.719951 0.694025i \(-0.244164\pi\)
−0.694025 + 0.719951i \(0.744164\pi\)
\(488\) −10.8774 21.2490i −0.492395 0.961896i
\(489\) 11.5789i 0.523615i
\(490\) −0.485611 + 0.00485651i −0.0219377 + 0.000219395i
\(491\) 7.77959i 0.351088i 0.984472 + 0.175544i \(0.0561684\pi\)
−0.984472 + 0.175544i \(0.943832\pi\)
\(492\) −10.2081 + 0.547841i −0.460218 + 0.0246986i
\(493\) −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
\(498\) 4.37931 11.4299i 0.196241 0.512188i
\(499\) 2.74891 0.123058 0.0615291 0.998105i \(-0.480402\pi\)
0.0615291 + 0.998105i \(0.480402\pi\)
\(500\) −8.62299 20.6311i −0.385632 0.922653i
\(501\) 19.8780 0.888083
\(502\) 2.36244 6.16595i 0.105441 0.275200i
\(503\) −12.1149 + 12.1149i −0.540178 + 0.540178i −0.923581 0.383403i \(-0.874752\pi\)
0.383403 + 0.923581i \(0.374752\pi\)
\(504\) 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
\(508\) −0.373078 6.95170i −0.0165527 0.308432i
\(509\) 19.3655i 0.858361i 0.903219 + 0.429180i \(0.141198\pi\)
−0.903219 + 0.429180i \(0.858802\pi\)
\(510\) −11.5721 + 0.115730i −0.512419 + 0.00512461i
\(511\) 18.7504i 0.829469i
\(512\) −22.3685 3.41335i −0.988557 0.150850i
\(513\) −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
\(518\) −20.1197 7.70875i −0.884011 0.338703i
\(519\) 17.5941 0.772297
\(520\) 6.31176 0.402073i 0.276789 0.0176321i
\(521\) −35.2285 −1.54339 −0.771695 0.635993i \(-0.780591\pi\)
−0.771695 + 0.635993i \(0.780591\pi\)
\(522\) 22.4743 + 8.61089i 0.983674 + 0.376889i
\(523\) −17.8598 + 17.8598i −0.780954 + 0.780954i −0.979992 0.199038i \(-0.936218\pi\)
0.199038 + 0.979992i \(0.436218\pi\)
\(524\) −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
\(528\) −3.82523 + 4.74811i −0.166472 + 0.206635i
\(529\) 21.4918i 0.934427i
\(530\) 1.72793 1.76284i 0.0750565 0.0765729i
\(531\) 17.2685i 0.749387i
\(532\) −1.01138 18.8453i −0.0438487 0.817049i
\(533\) −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
\(538\) 10.5760 27.6033i 0.455965 1.19006i
\(539\) 0.251508 0.0108332
\(540\) 19.4279 8.89847i 0.836044 0.382929i
\(541\) 33.8314 1.45452 0.727262 0.686359i \(-0.240792\pi\)
0.727262 + 0.686359i \(0.240792\pi\)
\(542\) 10.7374 28.0244i 0.461210 1.20375i
\(543\) 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 0.641156 0.767411i \(-0.278455\pi\)
−0.767411 + 0.641156i \(0.778455\pi\)
\(548\) −1.39377 + 0.0747995i −0.0595388 + 0.00319528i
\(549\) 18.0079i 0.768557i
\(550\) 4.35872 + 10.7289i 0.185857 + 0.457481i
\(551\) 28.1397i 1.19879i
\(552\) −2.87786 + 1.47318i −0.122490 + 0.0627027i
\(553\) −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 \(0.213612\pi\)
\(558\) −21.9796 8.42135i −0.930471 0.356504i
\(559\) −7.30659 −0.309036
\(560\) 22.8379 + 7.12155i 0.965077 + 0.300941i
\(561\) 5.99340 0.253041
\(562\) −35.4699 13.5901i −1.49621 0.573263i
\(563\) 31.6788 31.6788i 1.33510 1.33510i 0.434368 0.900736i \(-0.356972\pi\)
0.900736 0.434368i \(-0.143028\pi\)
\(564\) 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
\(568\) −16.3884 + 8.38926i −0.687644 + 0.352005i
\(569\) 25.1606i 1.05479i −0.849621 0.527393i \(-0.823170\pi\)
0.849621 0.527393i \(-0.176830\pi\)
\(570\) −7.41579 7.26893i −0.310613 0.304462i
\(571\) 42.4686i 1.77726i 0.458627 + 0.888629i \(0.348341\pi\)
−0.458627 + 0.888629i \(0.651659\pi\)
\(572\) −3.27074 + 0.175532i −0.136757 + 0.00733934i
\(573\) 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 \(0.407884\pi\)
\(578\) −0.779508 + 2.03451i −0.0324233 + 0.0846243i
\(579\) −7.47227 −0.310537
\(580\) 33.4344 + 12.4282i 1.38829 + 0.516052i
\(581\) 24.8713 1.03183
\(582\) 0.00710433 0.0185422i 0.000294484 0.000768599i
\(583\) −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 0.406122 0.913819i \(-0.366881\pi\)
−0.913819 + 0.406122i \(0.866881\pi\)
\(588\) −0.0153201 0.285464i −0.000631789 0.0117723i
\(589\) 27.5203i 1.13396i
\(590\) −0.255938 25.5917i −0.0105368 1.05359i
\(591\) 15.7698i 0.648684i
\(592\) 17.7433 + 14.2946i 0.729243 + 0.587503i
\(593\) 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
\(598\) −1.62180 0.621383i −0.0663204 0.0254102i
\(599\) 11.5903 0.473568 0.236784 0.971562i \(-0.423907\pi\)
0.236784 + 0.971562i \(0.423907\pi\)
\(600\) 11.9119 5.60073i 0.486301 0.228649i
\(601\) −3.91441 −0.159672 −0.0798360 0.996808i \(-0.525440\pi\)
−0.0798360 + 0.996808i \(0.525440\pi\)
\(602\) −25.8076 9.88802i −1.05184 0.403006i
\(603\) −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 0.853731 0.520715i \(-0.174334\pi\)
−0.520715 + 0.853731i \(0.674334\pi\)
\(608\) −5.10490 + 19.2938i −0.207031 + 0.782469i
\(609\) 19.8555i 0.804584i
\(610\) −0.266897 26.6875i −0.0108064 1.08055i
\(611\) 11.4936i 0.464981i
\(612\) 0.899172 + 16.7546i 0.0363469 + 0.677265i
\(613\) −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 \(0.473659\pi\)
\(618\) 8.54091 22.2916i 0.343566 0.896702i
\(619\) 33.7105 1.35494 0.677471 0.735550i \(-0.263076\pi\)
0.677471 + 0.735550i \(0.263076\pi\)
\(620\) −32.6985 12.1546i −1.31320 0.488141i
\(621\) −5.86803 −0.235476
\(622\) 1.07728 2.81169i 0.0431951 0.112739i
\(623\) 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
\(628\) −10.8516 + 0.582373i −0.433025 + 0.0232392i
\(629\) 22.3968i 0.893019i
\(630\) 12.8878 + 12.6326i 0.513462 + 0.503294i
\(631\) 17.6344i 0.702013i −0.936373 0.351006i \(-0.885840\pi\)
0.936373 0.351006i \(-0.114160\pi\)
\(632\) 18.8380 + 36.8001i 0.749336 + 1.46383i
\(633\) 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
\(638\) −17.2502 6.60932i −0.682944 0.261666i
\(639\) −13.8887 −0.549429
\(640\) −20.6695 14.5867i −0.817033 0.576591i
\(641\) −1.15882 −0.0457705 −0.0228853 0.999738i \(-0.507285\pi\)
−0.0228853 + 0.999738i \(0.507285\pi\)
\(642\) −3.88919 1.49012i −0.153494 0.0588103i
\(643\) −0.553083 + 0.553083i −0.0218115 + 0.0218115i −0.717928 0.696117i \(-0.754910\pi\)
0.696117 + 0.717928i \(0.254910\pi\)
\(644\) −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 0.533568 0.845757i \(-0.320851\pi\)
−0.845757 + 0.533568i \(0.820851\pi\)
\(648\) −2.51802 4.91896i −0.0989171 0.193235i
\(649\) 13.2545i 0.520283i
\(650\) 6.51424 + 2.75039i 0.255510 + 0.107879i
\(651\) 19.4184i 0.761068i
\(652\) −24.8449 + 1.33335i −0.973000 + 0.0522181i
\(653\) 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
\(658\) −15.5543 + 40.5965i −0.606369 + 1.58262i
\(659\) 3.57200 0.139145 0.0695727 0.997577i \(-0.477836\pi\)
0.0695727 + 0.997577i \(0.477836\pi\)
\(660\) −6.19780 + 2.83875i −0.241249 + 0.110498i
\(661\) 26.8543 1.04451 0.522256 0.852789i \(-0.325091\pi\)
0.522256 + 0.852789i \(0.325091\pi\)
\(662\) 3.78373 9.87549i 0.147059 0.383822i
\(663\) 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
\(668\) −2.28903 42.6523i −0.0885651 1.65027i
\(669\) 19.9778i 0.772388i
\(670\) −4.15375 + 4.23767i −0.160474 + 0.163716i
\(671\) 13.8220i 0.533592i
\(672\) −3.60203 + 13.6138i −0.138951 + 0.525163i
\(673\) −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 \(0.334057\pi\)
\(678\) −6.71329 2.57216i −0.257822 0.0987831i
\(679\) 0.0403474 0.00154839
\(680\) 1.58089 + 24.8169i 0.0606243 + 0.951684i
\(681\) −2.20367 −0.0844449
\(682\) 16.8705 + 6.46384i 0.646006 + 0.247513i
\(683\) 26.8209 26.8209i 1.02627 1.02627i 0.0266268 0.999645i \(-0.491523\pi\)
0.999645 0.0266268i \(-0.00847656\pi\)
\(684\) −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
\(688\) 22.7593 + 18.3356i 0.867689 + 0.699040i
\(689\) 0.780599i 0.0297385i
\(690\) −3.61443 + 0.0361473i −0.137599 + 0.00137611i
\(691\) 17.8773i 0.680085i −0.940410 0.340043i \(-0.889558\pi\)
0.940410 0.340043i \(-0.110442\pi\)
\(692\) −2.02603 37.7518i −0.0770182 1.43511i
\(693\) −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
\(698\) −14.4532 + 37.7225i −0.547060 + 1.42782i
\(699\) −21.1486 −0.799912
\(700\) 19.2869 + 18.5304i 0.728974 + 0.700382i
\(701\) −5.70121 −0.215332 −0.107666 0.994187i \(-0.534338\pi\)
−0.107666 + 0.994187i \(0.534338\pi\)
\(702\) −2.41768 + 6.31011i −0.0912494 + 0.238160i
\(703\) 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
\(708\) 15.0440 0.807367i 0.565387 0.0303427i
\(709\) 16.2277i 0.609445i −0.952441 0.304723i \(-0.901436\pi\)
0.952441 0.304723i \(-0.0985638\pi\)
\(710\) −20.5830 + 0.205847i −0.772465 + 0.00772529i
\(711\) 31.1870i 1.16960i
\(712\) −34.8544 + 17.8420i −1.30622 + 0.668657i
\(713\) 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
\(718\) 8.16876 + 3.12981i 0.304855 + 0.116803i
\(719\) −14.0007 −0.522137 −0.261068 0.965320i \(-0.584075\pi\)
−0.261068 + 0.965320i \(0.584075\pi\)
\(720\) −8.86558 16.9001i −0.330400 0.629830i
\(721\) 48.5061 1.80646
\(722\) −8.65355 3.31555i −0.322052 0.123392i
\(723\) 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 0.868151 0.496299i \(-0.165308\pi\)
−0.496299 + 0.868151i \(0.665308\pi\)
\(728\) −6.73394 + 3.44711i −0.249577 + 0.127758i
\(729\) 9.17338i 0.339755i
\(730\) 15.5184 15.8319i 0.574362 0.585966i
\(731\) 28.7284i 1.06256i
\(732\) 15.6881 0.841937i 0.579850 0.0311189i
\(733\) −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
\(738\) −5.92885 + 15.4742i −0.218244 + 0.569613i
\(739\) −41.3148 −1.51979 −0.759895 0.650045i \(-0.774750\pi\)
−0.759895 + 0.650045i \(0.774750\pi\)
\(740\) 10.6081 + 23.1606i 0.389963 + 0.851401i
\(741\) 3.28377 0.120632
\(742\) −1.05639 + 2.75715i −0.0387812 + 0.101218i
\(743\) −0.849593 + 0.849593i −0.0311686 + 0.0311686i −0.722519 0.691351i \(-0.757016\pi\)
0.691351 + 0.722519i \(0.257016\pi\)
\(744\) 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
\(748\) −0.690163 12.8601i −0.0252349 0.470210i
\(749\) 8.46280i 0.309224i
\(750\) 14.7124 + 0.347488i 0.537222 + 0.0126885i
\(751\) 29.7557i 1.08580i −0.839797 0.542900i \(-0.817326\pi\)
0.839797 0.542900i \(-0.182674\pi\)
\(752\) 28.8428 35.8013i 1.05179 1.30554i
\(753\) 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 \(0.277835\pi\)
\(758\) −8.81622 3.37788i −0.320220 0.122690i
\(759\) 1.87199 0.0679489
\(760\) −14.7430 + 16.7491i −0.534786 + 0.607555i
\(761\) −30.3122 −1.09882 −0.549409 0.835554i \(-0.685147\pi\)
−0.549409 + 0.835554i \(0.685147\pi\)
\(762\) 4.27851 + 1.63928i 0.154994 + 0.0593850i
\(763\) −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
\(768\) 8.04797 12.5301i 0.290406 0.452143i
\(769\) 33.2340i 1.19845i −0.800581 0.599225i \(-0.795475\pi\)
0.800581 0.599225i \(-0.204525\pi\)
\(770\) −9.89208 9.69618i −0.356486 0.349426i
\(771\) 11.4061i 0.410782i
\(772\) 0.860461 + 16.0333i 0.0309687 + 0.577051i
\(773\) 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 28.4899i −0.956797