Properties

Label 128.3.l.a.3.4
Level 128
Weight 3
Character 128.3
Analytic conductor 3.488
Analytic rank 0
Dimension 496
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 128 = 2^{7} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 128.l (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.48774738381\)
Analytic rank: \(0\)
Dimension: \(496\)
Relative dimension: \(31\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 3.4
Character \(\chi\) \(=\) 128.3
Dual form 128.3.l.a.43.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.84253 - 0.777866i) q^{2} +(1.79949 - 1.47680i) q^{3} +(2.78985 + 2.86649i) q^{4} +(5.80468 + 1.76083i) q^{5} +(-4.46437 + 1.32129i) q^{6} +(0.867168 + 4.35955i) q^{7} +(-2.91064 - 7.45172i) q^{8} +(-0.698600 + 3.51210i) q^{9} +O(q^{10})\) \(q+(-1.84253 - 0.777866i) q^{2} +(1.79949 - 1.47680i) q^{3} +(2.78985 + 2.86649i) q^{4} +(5.80468 + 1.76083i) q^{5} +(-4.46437 + 1.32129i) q^{6} +(0.867168 + 4.35955i) q^{7} +(-2.91064 - 7.45172i) q^{8} +(-0.698600 + 3.51210i) q^{9} +(-9.32562 - 7.75965i) q^{10} +(1.96387 + 19.9395i) q^{11} +(9.25352 + 1.03816i) q^{12} +(-2.26408 - 7.46367i) q^{13} +(1.79336 - 8.70714i) q^{14} +(13.0458 - 5.40376i) q^{15} +(-0.433499 + 15.9941i) q^{16} +(11.0016 - 26.5601i) q^{17} +(4.01914 - 5.92774i) q^{18} +(8.06248 - 15.0838i) q^{19} +(11.1468 + 21.5515i) q^{20} +(7.99864 + 6.56431i) q^{21} +(11.8918 - 38.2668i) q^{22} +(-0.595515 + 0.397910i) q^{23} +(-16.2424 - 9.11084i) q^{24} +(9.80705 + 6.55286i) q^{25} +(-1.63410 + 15.5132i) q^{26} +(13.8058 + 25.8288i) q^{27} +(-10.0773 + 14.6482i) q^{28} +(-1.40837 + 14.2994i) q^{29} +(-28.2408 - 0.191313i) q^{30} +(-24.5997 - 24.5997i) q^{31} +(13.2400 - 29.1325i) q^{32} +(32.9806 + 32.9806i) q^{33} +(-40.9309 + 40.3801i) q^{34} +(-2.64279 + 26.8327i) q^{35} +(-12.0164 + 7.79570i) q^{36} +(-31.9700 - 59.8117i) q^{37} +(-26.5886 + 21.5209i) q^{38} +(-15.0965 - 10.0872i) q^{39} +(-3.77411 - 48.3800i) q^{40} +(9.33094 - 6.23473i) q^{41} +(-9.63159 - 18.3168i) q^{42} +(-18.2349 - 14.9650i) q^{43} +(-51.6774 + 61.2576i) q^{44} +(-10.2394 + 19.1565i) q^{45} +(1.40678 - 0.269932i) q^{46} +(-33.2414 + 80.2519i) q^{47} +(22.8401 + 29.4214i) q^{48} +(27.0164 - 11.1906i) q^{49} +(-12.9726 - 19.7024i) q^{50} +(-19.4268 - 64.0417i) q^{51} +(15.0781 - 27.3125i) q^{52} +(-0.361597 - 3.67135i) q^{53} +(-5.34625 - 58.3296i) q^{54} +(-23.7105 + 119.201i) q^{55} +(29.9621 - 19.1510i) q^{56} +(-7.76749 - 39.0498i) q^{57} +(13.7180 - 25.2517i) q^{58} +(2.11439 + 0.641393i) q^{59} +(51.8857 + 22.3201i) q^{60} +(11.0406 - 9.06078i) q^{61} +(26.1904 + 64.4609i) q^{62} -15.9170 q^{63} +(-47.0564 + 43.3786i) q^{64} -47.3109i q^{65} +(-35.1133 - 86.4224i) q^{66} +(-56.9677 - 69.4153i) q^{67} +(106.827 - 42.5628i) q^{68} +(-0.483987 + 1.59549i) q^{69} +(25.7417 - 47.3844i) q^{70} +(-48.0353 + 9.55482i) q^{71} +(28.2046 - 5.01668i) q^{72} +(96.8484 + 19.2643i) q^{73} +(12.3803 + 135.073i) q^{74} +(27.3249 - 2.69127i) q^{75} +(65.7307 - 18.9706i) q^{76} +(-85.2242 + 25.8525i) q^{77} +(19.9694 + 30.3291i) q^{78} +(25.4666 + 61.4817i) q^{79} +(-30.6793 + 92.0775i) q^{80} +(33.2125 + 13.7571i) q^{81} +(-22.0423 + 4.22947i) q^{82} +(13.2582 + 7.08666i) q^{83} +(3.49846 + 41.2414i) q^{84} +(110.628 - 134.801i) q^{85} +(21.9577 + 41.7579i) q^{86} +(18.5831 + 27.8115i) q^{87} +(142.868 - 72.6709i) q^{88} +(35.3409 - 52.8915i) q^{89} +(33.7676 - 27.3316i) q^{90} +(30.5749 - 16.3426i) q^{91} +(-2.80200 - 0.596927i) q^{92} +(-80.5955 - 7.93797i) q^{93} +(123.674 - 122.009i) q^{94} +(73.3602 - 73.3602i) q^{95} +(-19.1976 - 71.9764i) q^{96} +(-52.0821 + 52.0821i) q^{97} +(-58.4834 - 0.396187i) q^{98} +(-71.4015 - 7.03244i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 496q - 16q^{2} - 16q^{3} - 16q^{4} - 16q^{5} - 16q^{6} - 16q^{7} - 16q^{8} - 16q^{9} + O(q^{10}) \) \( 496q - 16q^{2} - 16q^{3} - 16q^{4} - 16q^{5} - 16q^{6} - 16q^{7} - 16q^{8} - 16q^{9} - 16q^{10} - 16q^{11} - 16q^{12} - 16q^{13} - 16q^{14} - 16q^{15} - 16q^{16} - 16q^{17} - 16q^{18} - 16q^{19} - 16q^{20} - 16q^{21} - 16q^{22} - 16q^{23} - 16q^{24} - 16q^{25} - 16q^{26} - 16q^{27} - 16q^{28} - 16q^{29} - 16q^{30} - 16q^{31} - 16q^{32} - 16q^{33} - 16q^{34} - 16q^{35} - 16q^{36} - 16q^{37} - 16q^{38} - 16q^{39} - 16q^{40} - 16q^{41} - 16q^{42} - 16q^{43} - 16q^{44} - 16q^{45} - 16q^{46} - 16q^{47} - 16q^{48} - 16q^{49} - 640q^{50} - 16q^{51} - 1072q^{52} - 16q^{53} - 1168q^{54} - 16q^{55} - 800q^{56} - 16q^{57} - 736q^{58} - 16q^{59} - 592q^{60} - 16q^{61} - 112q^{62} - 32q^{63} + 176q^{64} + 560q^{66} - 16q^{67} + 464q^{68} - 16q^{69} + 1328q^{70} - 16q^{71} + 1280q^{72} - 16q^{73} + 1216q^{74} - 16q^{75} + 1648q^{76} - 16q^{77} + 1424q^{78} - 16q^{79} + 800q^{80} - 16q^{81} - 16q^{82} - 16q^{83} - 16q^{84} - 16q^{85} - 16q^{86} - 16q^{87} - 16q^{88} - 16q^{89} - 16q^{90} - 16q^{91} - 16q^{92} - 16q^{93} - 16q^{94} - 16q^{95} - 16q^{96} - 16q^{97} - 16q^{98} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/128\mathbb{Z}\right)^\times\).

\(n\) \(5\) \(127\)
\(\chi(n)\) \(e\left(\frac{3}{32}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.84253 0.777866i −0.921266 0.388933i
\(3\) 1.79949 1.47680i 0.599829 0.492267i −0.284785 0.958591i \(-0.591922\pi\)
0.884614 + 0.466325i \(0.154422\pi\)
\(4\) 2.78985 + 2.86649i 0.697462 + 0.716622i
\(5\) 5.80468 + 1.76083i 1.16094 + 0.352166i 0.811249 0.584700i \(-0.198788\pi\)
0.349687 + 0.936867i \(0.386288\pi\)
\(6\) −4.46437 + 1.32129i −0.744061 + 0.220215i
\(7\) 0.867168 + 4.35955i 0.123881 + 0.622792i 0.991979 + 0.126400i \(0.0403423\pi\)
−0.868098 + 0.496392i \(0.834658\pi\)
\(8\) −2.91064 7.45172i −0.363830 0.931465i
\(9\) −0.698600 + 3.51210i −0.0776223 + 0.390234i
\(10\) −9.32562 7.75965i −0.932562 0.775965i
\(11\) 1.96387 + 19.9395i 0.178534 + 1.81268i 0.500288 + 0.865859i \(0.333228\pi\)
−0.321754 + 0.946823i \(0.604272\pi\)
\(12\) 9.25352 + 1.03816i 0.771127 + 0.0865131i
\(13\) −2.26408 7.46367i −0.174160 0.574129i −0.999948 0.0101488i \(-0.996769\pi\)
0.825788 0.563980i \(-0.190731\pi\)
\(14\) 1.79336 8.70714i 0.128097 0.621939i
\(15\) 13.0458 5.40376i 0.869723 0.360251i
\(16\) −0.433499 + 15.9941i −0.0270937 + 0.999633i
\(17\) 11.0016 26.5601i 0.647150 1.56236i −0.169691 0.985497i \(-0.554277\pi\)
0.816842 0.576862i \(-0.195723\pi\)
\(18\) 4.01914 5.92774i 0.223286 0.329319i
\(19\) 8.06248 15.0838i 0.424341 0.793886i −0.575371 0.817893i \(-0.695142\pi\)
0.999712 + 0.0240066i \(0.00764226\pi\)
\(20\) 11.1468 + 21.5515i 0.557339 + 1.07757i
\(21\) 7.99864 + 6.56431i 0.380887 + 0.312586i
\(22\) 11.8918 38.2668i 0.540535 1.73940i
\(23\) −0.595515 + 0.397910i −0.0258920 + 0.0173005i −0.568449 0.822719i \(-0.692456\pi\)
0.542557 + 0.840019i \(0.317456\pi\)
\(24\) −16.2424 9.11084i −0.676765 0.379618i
\(25\) 9.80705 + 6.55286i 0.392282 + 0.262115i
\(26\) −1.63410 + 15.5132i −0.0628500 + 0.596662i
\(27\) 13.8058 + 25.8288i 0.511326 + 0.956624i
\(28\) −10.0773 + 14.6482i −0.359904 + 0.523150i
\(29\) −1.40837 + 14.2994i −0.0485645 + 0.493084i 0.939880 + 0.341504i \(0.110936\pi\)
−0.988445 + 0.151580i \(0.951564\pi\)
\(30\) −28.2408 0.191313i −0.941360 0.00637710i
\(31\) −24.5997 24.5997i −0.793537 0.793537i 0.188530 0.982067i \(-0.439628\pi\)
−0.982067 + 0.188530i \(0.939628\pi\)
\(32\) 13.2400 29.1325i 0.413751 0.910390i
\(33\) 32.9806 + 32.9806i 0.999413 + 0.999413i
\(34\) −40.9309 + 40.3801i −1.20385 + 1.18765i
\(35\) −2.64279 + 26.8327i −0.0755083 + 0.766649i
\(36\) −12.0164 + 7.79570i −0.333788 + 0.216547i
\(37\) −31.9700 59.8117i −0.864055 1.61653i −0.784859 0.619674i \(-0.787265\pi\)
−0.0791962 0.996859i \(-0.525235\pi\)
\(38\) −26.5886 + 21.5209i −0.699700 + 0.566340i
\(39\) −15.0965 10.0872i −0.387091 0.258646i
\(40\) −3.77411 48.3800i −0.0943527 1.20950i
\(41\) 9.33094 6.23473i 0.227584 0.152067i −0.436551 0.899680i \(-0.643800\pi\)
0.664135 + 0.747613i \(0.268800\pi\)
\(42\) −9.63159 18.3168i −0.229323 0.436115i
\(43\) −18.2349 14.9650i −0.424068 0.348024i 0.398027 0.917374i \(-0.369695\pi\)
−0.822095 + 0.569350i \(0.807195\pi\)
\(44\) −51.6774 + 61.2576i −1.17449 + 1.39222i
\(45\) −10.2394 + 19.1565i −0.227542 + 0.425700i
\(46\) 1.40678 0.269932i 0.0305821 0.00586808i
\(47\) −33.2414 + 80.2519i −0.707264 + 1.70749i −0.000538534 1.00000i \(0.500171\pi\)
−0.706726 + 0.707487i \(0.749829\pi\)
\(48\) 22.8401 + 29.4214i 0.475835 + 0.612946i
\(49\) 27.0164 11.1906i 0.551356 0.228379i
\(50\) −12.9726 19.7024i −0.259451 0.394049i
\(51\) −19.4268 64.0417i −0.380918 1.25572i
\(52\) 15.0781 27.3125i 0.289963 0.525240i
\(53\) −0.361597 3.67135i −0.00682258 0.0692708i 0.991171 0.132593i \(-0.0423304\pi\)
−0.997993 + 0.0633223i \(0.979830\pi\)
\(54\) −5.34625 58.3296i −0.0990046 1.08018i
\(55\) −23.7105 + 119.201i −0.431099 + 2.16728i
\(56\) 29.9621 19.1510i 0.535038 0.341981i
\(57\) −7.76749 39.0498i −0.136272 0.685085i
\(58\) 13.7180 25.2517i 0.236518 0.435373i
\(59\) 2.11439 + 0.641393i 0.0358371 + 0.0108711i 0.308152 0.951337i \(-0.400289\pi\)
−0.272315 + 0.962208i \(0.587789\pi\)
\(60\) 51.8857 + 22.3201i 0.864762 + 0.372001i
\(61\) 11.0406 9.06078i 0.180993 0.148537i −0.539534 0.841964i \(-0.681400\pi\)
0.720528 + 0.693426i \(0.243900\pi\)
\(62\) 26.1904 + 64.4609i 0.422426 + 1.03969i
\(63\) −15.9170 −0.252650
\(64\) −47.0564 + 43.3786i −0.735256 + 0.677790i
\(65\) 47.3109i 0.727860i
\(66\) −35.1133 86.4224i −0.532020 1.30943i
\(67\) −56.9677 69.4153i −0.850264 1.03605i −0.998888 0.0471560i \(-0.984984\pi\)
0.148623 0.988894i \(-0.452516\pi\)
\(68\) 106.827 42.5628i 1.57098 0.625924i
\(69\) −0.483987 + 1.59549i −0.00701430 + 0.0231231i
\(70\) 25.7417 47.3844i 0.367738 0.676920i
\(71\) −48.0353 + 9.55482i −0.676554 + 0.134575i −0.521396 0.853315i \(-0.674589\pi\)
−0.155158 + 0.987890i \(0.549589\pi\)
\(72\) 28.2046 5.01668i 0.391730 0.0696762i
\(73\) 96.8484 + 19.2643i 1.32669 + 0.263895i 0.807046 0.590488i \(-0.201065\pi\)
0.519644 + 0.854383i \(0.326065\pi\)
\(74\) 12.3803 + 135.073i 0.167301 + 1.82532i
\(75\) 27.3249 2.69127i 0.364332 0.0358836i
\(76\) 65.7307 18.9706i 0.864878 0.249613i
\(77\) −85.2242 + 25.8525i −1.10681 + 0.335746i
\(78\) 19.9694 + 30.3291i 0.256018 + 0.388834i
\(79\) 25.4666 + 61.4817i 0.322362 + 0.778250i 0.999116 + 0.0420409i \(0.0133860\pi\)
−0.676754 + 0.736209i \(0.736614\pi\)
\(80\) −30.6793 + 92.0775i −0.383491 + 1.15097i
\(81\) 33.2125 + 13.7571i 0.410031 + 0.169840i
\(82\) −22.0423 + 4.22947i −0.268809 + 0.0515789i
\(83\) 13.2582 + 7.08666i 0.159737 + 0.0853814i 0.549328 0.835607i \(-0.314884\pi\)
−0.389591 + 0.920988i \(0.627384\pi\)
\(84\) 3.49846 + 41.2414i 0.0416484 + 0.490969i
\(85\) 110.628 134.801i 1.30151 1.58589i
\(86\) 21.9577 + 41.7579i 0.255322 + 0.485557i
\(87\) 18.5831 + 27.8115i 0.213599 + 0.319673i
\(88\) 142.868 72.6709i 1.62350 0.825806i
\(89\) 35.3409 52.8915i 0.397089 0.594286i −0.578017 0.816025i \(-0.696173\pi\)
0.975106 + 0.221739i \(0.0711732\pi\)
\(90\) 33.7676 27.3316i 0.375195 0.303685i
\(91\) 30.5749 16.3426i 0.335988 0.179589i
\(92\) −2.80200 0.596927i −0.0304565 0.00648833i
\(93\) −80.5955 7.93797i −0.866619 0.0853545i
\(94\) 123.674 122.009i 1.31568 1.29797i
\(95\) 73.3602 73.3602i 0.772213 0.772213i
\(96\) −19.1976 71.9764i −0.199975 0.749754i
\(97\) −52.0821 + 52.0821i −0.536929 + 0.536929i −0.922626 0.385696i \(-0.873961\pi\)
0.385696 + 0.922626i \(0.373961\pi\)
\(98\) −58.4834 0.396187i −0.596769 0.00404273i
\(99\) −71.4015 7.03244i −0.721228 0.0710347i
\(100\) 8.57649 + 46.3933i 0.0857649 + 0.463933i
\(101\) −101.208 + 54.0967i −1.00206 + 0.535611i −0.888966 0.457974i \(-0.848575\pi\)
−0.113092 + 0.993585i \(0.536075\pi\)
\(102\) −14.0213 + 133.110i −0.137464 + 1.30500i
\(103\) −4.94857 + 7.40606i −0.0480444 + 0.0719035i −0.854714 0.519099i \(-0.826268\pi\)
0.806670 + 0.591002i \(0.201268\pi\)
\(104\) −49.0273 + 38.5954i −0.471416 + 0.371109i
\(105\) 34.8709 + 52.1880i 0.332104 + 0.497028i
\(106\) −2.18957 + 7.04586i −0.0206563 + 0.0664704i
\(107\) 72.0118 87.7466i 0.673007 0.820062i −0.318798 0.947823i \(-0.603279\pi\)
0.991805 + 0.127761i \(0.0407790\pi\)
\(108\) −35.5220 + 111.633i −0.328907 + 1.03364i
\(109\) −171.404 91.6171i −1.57251 0.840524i −0.999784 0.0207772i \(-0.993386\pi\)
−0.572726 0.819747i \(-0.694114\pi\)
\(110\) 136.409 201.187i 1.24008 1.82897i
\(111\) −145.860 60.4171i −1.31405 0.544298i
\(112\) −70.1031 + 11.9797i −0.625920 + 0.106962i
\(113\) 62.0647 + 149.837i 0.549245 + 1.32600i 0.918041 + 0.396485i \(0.129770\pi\)
−0.368796 + 0.929510i \(0.620230\pi\)
\(114\) −16.0637 + 77.9926i −0.140910 + 0.684146i
\(115\) −4.15743 + 1.26114i −0.0361515 + 0.0109665i
\(116\) −44.9183 + 35.8562i −0.387227 + 0.309105i
\(117\) 27.7949 2.73756i 0.237563 0.0233979i
\(118\) −3.39691 2.82650i −0.0287874 0.0239534i
\(119\) 125.330 + 24.9297i 1.05320 + 0.209494i
\(120\) −78.2391 81.4856i −0.651992 0.679047i
\(121\) −275.052 + 54.7113i −2.27316 + 0.452159i
\(122\) −27.3907 + 8.10667i −0.224514 + 0.0664481i
\(123\) 7.58344 24.9992i 0.0616540 0.203246i
\(124\) 1.88531 139.144i 0.0152041 1.12213i
\(125\) −50.8154 61.9188i −0.406523 0.495350i
\(126\) 29.3275 + 12.3813i 0.232758 + 0.0982641i
\(127\) 109.026i 0.858475i −0.903192 0.429237i \(-0.858782\pi\)
0.903192 0.429237i \(-0.141218\pi\)
\(128\) 120.446 43.3228i 0.940981 0.338460i
\(129\) −54.9139 −0.425689
\(130\) −36.8016 + 87.1719i −0.283089 + 0.670553i
\(131\) 60.0219 49.2587i 0.458183 0.376021i −0.376802 0.926294i \(-0.622976\pi\)
0.834985 + 0.550273i \(0.185476\pi\)
\(132\) −2.52762 + 186.550i −0.0191486 + 1.41325i
\(133\) 72.7502 + 22.0685i 0.546994 + 0.165929i
\(134\) 50.9689 + 172.213i 0.380365 + 1.28517i
\(135\) 34.6581 + 174.238i 0.256726 + 1.29065i
\(136\) −229.940 4.67366i −1.69074 0.0343651i
\(137\) 8.68139 43.6443i 0.0633678 0.318571i −0.936080 0.351786i \(-0.885574\pi\)
0.999448 + 0.0332146i \(0.0105745\pi\)
\(138\) 2.13284 2.56327i 0.0154554 0.0185744i
\(139\) 1.22908 + 12.4791i 0.00884233 + 0.0897776i 0.998593 0.0530286i \(-0.0168874\pi\)
−0.989751 + 0.142806i \(0.954387\pi\)
\(140\) −84.2886 + 67.2837i −0.602062 + 0.480598i
\(141\) 58.6986 + 193.503i 0.416302 + 1.37236i
\(142\) 95.9390 + 19.7600i 0.675627 + 0.139155i
\(143\) 144.376 59.8023i 1.00962 0.418198i
\(144\) −55.8702 12.6960i −0.387987 0.0881666i
\(145\) −33.3540 + 80.5238i −0.230028 + 0.555336i
\(146\) −163.461 110.830i −1.11960 0.759111i
\(147\) 32.0895 60.0352i 0.218296 0.408402i
\(148\) 82.2580 258.507i 0.555798 1.74667i
\(149\) 58.8691 + 48.3126i 0.395094 + 0.324246i 0.810875 0.585219i \(-0.198992\pi\)
−0.415781 + 0.909465i \(0.636492\pi\)
\(150\) −52.4405 16.2964i −0.349603 0.108643i
\(151\) −44.8932 + 29.9967i −0.297306 + 0.198654i −0.695272 0.718747i \(-0.744716\pi\)
0.397966 + 0.917400i \(0.369716\pi\)
\(152\) −135.868 16.1757i −0.893865 0.106419i
\(153\) 85.5961 + 57.1935i 0.559452 + 0.373814i
\(154\) 177.138 + 18.6590i 1.15025 + 0.121162i
\(155\) −99.4773 186.109i −0.641789 1.20070i
\(156\) −13.2023 71.4158i −0.0846299 0.457793i
\(157\) −9.50349 + 96.4905i −0.0605318 + 0.614589i 0.916287 + 0.400522i \(0.131171\pi\)
−0.976819 + 0.214067i \(0.931329\pi\)
\(158\) 0.901610 133.092i 0.00570639 0.842352i
\(159\) −6.07255 6.07255i −0.0381921 0.0381921i
\(160\) 128.152 145.791i 0.800947 0.911196i
\(161\) −2.25112 2.25112i −0.0139821 0.0139821i
\(162\) −50.4939 51.1827i −0.311691 0.315943i
\(163\) −10.2490 + 104.060i −0.0628776 + 0.638407i 0.911165 + 0.412042i \(0.135184\pi\)
−0.974043 + 0.226365i \(0.927316\pi\)
\(164\) 43.9037 + 9.35306i 0.267705 + 0.0570308i
\(165\) 133.369 + 249.515i 0.808295 + 1.51221i
\(166\) −18.9162 23.3705i −0.113953 0.140786i
\(167\) −22.6467 15.1321i −0.135609 0.0906112i 0.485915 0.874006i \(-0.338486\pi\)
−0.621524 + 0.783395i \(0.713486\pi\)
\(168\) 25.6343 78.7100i 0.152585 0.468512i
\(169\) 89.9380 60.0946i 0.532177 0.355590i
\(170\) −308.694 + 162.321i −1.81584 + 0.954830i
\(171\) 47.3435 + 38.8538i 0.276863 + 0.227215i
\(172\) −7.97564 94.0204i −0.0463700 0.546630i
\(173\) 79.3789 148.508i 0.458838 0.858425i −0.541011 0.841016i \(-0.681958\pi\)
0.999848 0.0174094i \(-0.00554188\pi\)
\(174\) −12.6062 65.6988i −0.0724497 0.377579i
\(175\) −20.0632 + 48.4367i −0.114647 + 0.276781i
\(176\) −319.766 + 22.7666i −1.81685 + 0.129356i
\(177\) 4.75203 1.96835i 0.0268476 0.0111206i
\(178\) −106.259 + 69.9637i −0.596962 + 0.393054i
\(179\) 11.7573 + 38.7585i 0.0656830 + 0.216528i 0.983638 0.180157i \(-0.0576606\pi\)
−0.917955 + 0.396685i \(0.870161\pi\)
\(180\) −83.4782 + 24.0927i −0.463768 + 0.133849i
\(181\) −20.4425 207.556i −0.112942 1.14672i −0.869890 0.493245i \(-0.835810\pi\)
0.756948 0.653475i \(-0.226690\pi\)
\(182\) −69.0476 + 6.32862i −0.379382 + 0.0347726i
\(183\) 6.48643 32.6095i 0.0354450 0.178194i
\(184\) 4.69845 + 3.27944i 0.0255350 + 0.0178230i
\(185\) −80.2575 403.482i −0.433825 2.18098i
\(186\) 142.325 + 77.3185i 0.765189 + 0.415691i
\(187\) 551.201 + 167.205i 2.94760 + 0.894144i
\(188\) −322.780 + 128.604i −1.71691 + 0.684066i
\(189\) −100.630 + 82.5850i −0.532434 + 0.436958i
\(190\) −192.233 + 78.1041i −1.01175 + 0.411074i
\(191\) 14.6977 0.0769511 0.0384755 0.999260i \(-0.487750\pi\)
0.0384755 + 0.999260i \(0.487750\pi\)
\(192\) −20.6158 + 147.552i −0.107374 + 0.768500i
\(193\) 308.273i 1.59727i 0.601817 + 0.798634i \(0.294444\pi\)
−0.601817 + 0.798634i \(0.705556\pi\)
\(194\) 136.476 55.4501i 0.703484 0.285825i
\(195\) −69.8688 85.1354i −0.358301 0.436592i
\(196\) 107.449 + 46.2223i 0.548211 + 0.235828i
\(197\) 42.0385 138.582i 0.213393 0.703464i −0.783258 0.621697i \(-0.786444\pi\)
0.996651 0.0817671i \(-0.0260564\pi\)
\(198\) 126.089 + 68.4983i 0.636815 + 0.345951i
\(199\) 2.72922 0.542875i 0.0137147 0.00272801i −0.188228 0.982125i \(-0.560274\pi\)
0.201943 + 0.979397i \(0.435274\pi\)
\(200\) 20.2853 92.1525i 0.101427 0.460762i
\(201\) −205.025 40.7821i −1.02003 0.202896i
\(202\) 228.559 20.9487i 1.13148 0.103707i
\(203\) −63.5604 + 6.26015i −0.313105 + 0.0308382i
\(204\) 129.377 234.353i 0.634200 1.14879i
\(205\) 65.1414 19.7604i 0.317763 0.0963924i
\(206\) 14.8788 9.79657i 0.0722273 0.0475562i
\(207\) −0.981475 2.36949i −0.00474142 0.0114468i
\(208\) 120.356 32.9765i 0.578637 0.158541i
\(209\) 316.598 + 131.139i 1.51482 + 0.627460i
\(210\) −23.6555 123.283i −0.112645 0.587062i
\(211\) −3.97141 2.12276i −0.0188219 0.0100605i 0.461959 0.886901i \(-0.347147\pi\)
−0.480781 + 0.876841i \(0.659647\pi\)
\(212\) 9.51509 11.2790i 0.0448825 0.0532030i
\(213\) −72.3284 + 88.1324i −0.339570 + 0.413767i
\(214\) −200.939 + 105.660i −0.938968 + 0.493740i
\(215\) −79.4971 118.976i −0.369754 0.553376i
\(216\) 152.286 178.056i 0.705026 0.824331i
\(217\) 85.9113 128.575i 0.395905 0.592513i
\(218\) 244.551 + 302.137i 1.12179 + 1.38595i
\(219\) 202.727 108.360i 0.925694 0.494794i
\(220\) −407.835 + 264.586i −1.85380 + 1.20266i
\(221\) −223.144 21.9778i −1.00970 0.0994471i
\(222\) 221.755 + 224.780i 0.998895 + 1.01252i
\(223\) 131.046 131.046i 0.587652 0.587652i −0.349343 0.936995i \(-0.613595\pi\)
0.936995 + 0.349343i \(0.113595\pi\)
\(224\) 138.486 + 32.4578i 0.618240 + 0.144901i
\(225\) −29.8655 + 29.8655i −0.132736 + 0.132736i
\(226\) 2.19732 324.358i 0.00972265 1.43521i
\(227\) −378.962 37.3245i −1.66944 0.164425i −0.781347 0.624097i \(-0.785467\pi\)
−0.888089 + 0.459672i \(0.847967\pi\)
\(228\) 90.2657 131.209i 0.395902 0.575476i
\(229\) −262.818 + 140.479i −1.14768 + 0.613446i −0.931799 0.362974i \(-0.881761\pi\)
−0.215878 + 0.976420i \(0.569261\pi\)
\(230\) 8.64119 + 0.910229i 0.0375704 + 0.00395752i
\(231\) −115.181 + 172.380i −0.498618 + 0.746235i
\(232\) 110.655 31.1257i 0.476960 0.134163i
\(233\) 71.9717 + 107.713i 0.308892 + 0.462289i 0.953141 0.302527i \(-0.0978301\pi\)
−0.644249 + 0.764816i \(0.722830\pi\)
\(234\) −53.3424 16.5767i −0.227959 0.0708404i
\(235\) −334.266 + 407.304i −1.42241 + 1.73321i
\(236\) 4.06028 + 7.85027i 0.0172046 + 0.0332638i
\(237\) 136.623 + 73.0265i 0.576468 + 0.308129i
\(238\) −211.533 143.424i −0.888794 0.602622i
\(239\) 264.935 + 109.739i 1.10851 + 0.459161i 0.860425 0.509577i \(-0.170198\pi\)
0.248087 + 0.968738i \(0.420198\pi\)
\(240\) 80.7731 + 210.999i 0.336555 + 0.879164i
\(241\) 22.0377 + 53.2037i 0.0914426 + 0.220762i 0.962983 0.269561i \(-0.0868787\pi\)
−0.871541 + 0.490323i \(0.836879\pi\)
\(242\) 549.350 + 113.147i 2.27004 + 0.467548i
\(243\) −172.152 + 52.2216i −0.708443 + 0.214904i
\(244\) 56.7742 + 6.36952i 0.232681 + 0.0261046i
\(245\) 176.526 17.3863i 0.720516 0.0709646i
\(246\) −33.4188 + 40.1630i −0.135849 + 0.163264i
\(247\) −130.835 26.0247i −0.529696 0.105363i
\(248\) −111.709 + 254.911i −0.450440 + 1.02787i
\(249\) 34.3235 6.82737i 0.137845 0.0274192i
\(250\) 45.4645 + 153.615i 0.181858 + 0.614460i
\(251\) 88.4462 291.568i 0.352375 1.16163i −0.584332 0.811514i \(-0.698644\pi\)
0.936708 0.350112i \(-0.113856\pi\)
\(252\) −44.4059 45.6258i −0.176214 0.181055i
\(253\) −9.10365 11.0928i −0.0359828 0.0438452i
\(254\) −84.8079 + 200.884i −0.333889 + 0.790883i
\(255\) 405.949i 1.59196i
\(256\) −255.624 13.8669i −0.998532 0.0541675i
\(257\) 345.031 1.34253 0.671267 0.741215i \(-0.265750\pi\)
0.671267 + 0.741215i \(0.265750\pi\)
\(258\) 101.181 + 42.7157i 0.392173 + 0.165565i
\(259\) 233.029 191.242i 0.899725 0.738385i
\(260\) 135.616 131.990i 0.521601 0.507655i
\(261\) −49.2372 14.9359i −0.188648 0.0572258i
\(262\) −148.909 + 44.0717i −0.568355 + 0.168213i
\(263\) −77.1122 387.669i −0.293202 1.47403i −0.793711 0.608295i \(-0.791854\pi\)
0.500508 0.865732i \(-0.333146\pi\)
\(264\) 149.768 341.757i 0.567302 1.29454i
\(265\) 4.36568 21.9478i 0.0164743 0.0828217i
\(266\) −116.878 97.2519i −0.439392 0.365609i
\(267\) −14.5146 147.369i −0.0543617 0.551944i
\(268\) 40.0470 356.955i 0.149429 1.33192i
\(269\) 131.355 + 433.019i 0.488308 + 1.60974i 0.761766 + 0.647853i \(0.224333\pi\)
−0.273457 + 0.961884i \(0.588167\pi\)
\(270\) 71.6752 347.998i 0.265464 1.28888i
\(271\) 173.761 71.9743i 0.641186 0.265588i −0.0383113 0.999266i \(-0.512198\pi\)
0.679497 + 0.733678i \(0.262198\pi\)
\(272\) 420.037 + 187.474i 1.54425 + 0.689243i
\(273\) 30.8843 74.5614i 0.113129 0.273119i
\(274\) −49.9451 + 73.6630i −0.182282 + 0.268843i
\(275\) −111.401 + 208.417i −0.405095 + 0.757879i
\(276\) −5.92371 + 3.06384i −0.0214627 + 0.0111009i
\(277\) −157.542 129.291i −0.568742 0.466755i 0.305536 0.952181i \(-0.401164\pi\)
−0.874278 + 0.485426i \(0.838664\pi\)
\(278\) 7.44244 23.9492i 0.0267714 0.0861482i
\(279\) 103.582 69.2112i 0.371261 0.248069i
\(280\) 207.642 58.4070i 0.741579 0.208596i
\(281\) −162.701 108.714i −0.579009 0.386881i 0.231302 0.972882i \(-0.425702\pi\)
−0.810310 + 0.586001i \(0.800702\pi\)
\(282\) 42.3657 402.195i 0.150233 1.42622i
\(283\) 238.295 + 445.818i 0.842031 + 1.57533i 0.817713 + 0.575626i \(0.195241\pi\)
0.0243181 + 0.999704i \(0.492259\pi\)
\(284\) −161.400 111.036i −0.568310 0.390972i
\(285\) 23.6723 240.349i 0.0830608 0.843330i
\(286\) −312.535 2.11722i −1.09278 0.00740288i
\(287\) 35.2721 + 35.2721i 0.122899 + 0.122899i
\(288\) 93.0668 + 66.8523i 0.323148 + 0.232126i
\(289\) −380.051 380.051i −1.31506 1.31506i
\(290\) 124.093 122.423i 0.427906 0.422147i
\(291\) −16.8062 + 170.636i −0.0577532 + 0.586378i
\(292\) 214.971 + 331.359i 0.736203 + 1.13479i
\(293\) 18.2061 + 34.0612i 0.0621369 + 0.116250i 0.911072 0.412247i \(-0.135256\pi\)
−0.848935 + 0.528497i \(0.822756\pi\)
\(294\) −105.825 + 85.6554i −0.359950 + 0.291345i
\(295\) 11.1440 + 7.44617i 0.0377762 + 0.0252413i
\(296\) −352.647 + 412.322i −1.19138 + 1.39298i
\(297\) −487.902 + 326.005i −1.64277 + 1.09766i
\(298\) −70.8874 134.810i −0.237877 0.452382i
\(299\) 4.31817 + 3.54383i 0.0144420 + 0.0118523i
\(300\) 83.9469 + 70.8183i 0.279823 + 0.236061i
\(301\) 49.4280 92.4733i 0.164213 0.307220i
\(302\) 106.051 20.3489i 0.351161 0.0673806i
\(303\) −102.232 + 246.810i −0.337400 + 0.814554i
\(304\) 237.758 + 135.491i 0.782098 + 0.445694i
\(305\) 80.0416 33.1543i 0.262432 0.108703i
\(306\) −113.225 171.963i −0.370015 0.561971i
\(307\) 122.561 + 404.028i 0.399220 + 1.31605i 0.894403 + 0.447263i \(0.147601\pi\)
−0.495183 + 0.868789i \(0.664899\pi\)
\(308\) −311.868 172.170i −1.01256 0.558992i
\(309\) 2.03239 + 20.6352i 0.00657730 + 0.0667804i
\(310\) 38.5222 + 420.292i 0.124265 + 1.35578i
\(311\) −81.6792 + 410.629i −0.262634 + 1.32035i 0.594016 + 0.804453i \(0.297541\pi\)
−0.856650 + 0.515897i \(0.827459\pi\)
\(312\) −31.2263 + 141.855i −0.100084 + 0.454665i
\(313\) −35.4395 178.166i −0.113225 0.569221i −0.995195 0.0979149i \(-0.968783\pi\)
0.881970 0.471306i \(-0.156217\pi\)
\(314\) 92.5672 170.394i 0.294800 0.542657i
\(315\) −92.3930 28.0271i −0.293311 0.0889749i
\(316\) −105.189 + 244.524i −0.332876 + 0.773811i
\(317\) −199.206 + 163.484i −0.628410 + 0.515723i −0.893828 0.448411i \(-0.851990\pi\)
0.265418 + 0.964134i \(0.414490\pi\)
\(318\) 6.46523 + 15.9125i 0.0203309 + 0.0500393i
\(319\) −287.890 −0.902475
\(320\) −349.529 + 168.940i −1.09228 + 0.527939i
\(321\) 264.246i 0.823196i
\(322\) 2.39669 + 5.89883i 0.00744314 + 0.0183194i
\(323\) −311.928 380.086i −0.965723 1.17674i
\(324\) 53.2233 + 133.583i 0.164270 + 0.412294i
\(325\) 26.7045 88.0329i 0.0821676 0.270870i
\(326\) 99.8292 183.762i 0.306225 0.563687i
\(327\) −443.739 + 88.2651i −1.35700 + 0.269924i
\(328\) −73.6185 51.3845i −0.224447 0.156660i
\(329\) −378.688 75.3257i −1.15103 0.228953i
\(330\) −51.6465 563.483i −0.156505 1.70752i
\(331\) −119.821 + 11.8013i −0.361996 + 0.0356535i −0.277381 0.960760i \(-0.589466\pi\)
−0.0846157 + 0.996414i \(0.526966\pi\)
\(332\) 16.6746 + 57.7751i 0.0502245 + 0.174022i
\(333\) 232.399 70.4975i 0.697896 0.211704i
\(334\) 29.9566 + 45.4975i 0.0896905 + 0.136220i
\(335\) −208.451 503.244i −0.622241 1.50222i
\(336\) −108.458 + 125.086i −0.322791 + 0.372279i
\(337\) −347.900 144.105i −1.03234 0.427611i −0.198786 0.980043i \(-0.563700\pi\)
−0.833558 + 0.552432i \(0.813700\pi\)
\(338\) −212.459 + 40.7666i −0.628578 + 0.120611i
\(339\) 332.965 + 177.973i 0.982197 + 0.524995i
\(340\) 695.042 58.9596i 2.04424 0.173411i
\(341\) 442.194 538.816i 1.29676 1.58010i
\(342\) −57.0089 108.416i −0.166693 0.317007i
\(343\) 193.218 + 289.172i 0.563319 + 0.843066i
\(344\) −58.4399 + 179.440i −0.169883 + 0.521627i
\(345\) −5.61878 + 8.40910i −0.0162863 + 0.0243742i
\(346\) −261.777 + 211.884i −0.756582 + 0.612381i
\(347\) −466.982 + 249.607i −1.34577 + 0.719330i −0.977608 0.210432i \(-0.932513\pi\)
−0.368162 + 0.929762i \(0.620013\pi\)
\(348\) −27.8775 + 130.858i −0.0801077 + 0.376029i
\(349\) −19.9253 1.96247i −0.0570924 0.00562312i 0.0694306 0.997587i \(-0.477882\pi\)
−0.126523 + 0.991964i \(0.540382\pi\)
\(350\) 74.6443 73.6398i 0.213269 0.210399i
\(351\) 161.521 161.521i 0.460173 0.460173i
\(352\) 606.889 + 206.787i 1.72412 + 0.587464i
\(353\) −203.198 + 203.198i −0.575631 + 0.575631i −0.933696 0.358066i \(-0.883436\pi\)
0.358066 + 0.933696i \(0.383436\pi\)
\(354\) −10.2869 0.0696870i −0.0290590 0.000196856i
\(355\) −295.654 29.1194i −0.832828 0.0820264i
\(356\) 250.209 46.2547i 0.702833 0.129929i
\(357\) 262.346 140.227i 0.734864 0.392793i
\(358\) 8.48580 80.5593i 0.0237033 0.225026i
\(359\) −65.7006 + 98.3279i −0.183010 + 0.273894i −0.911619 0.411036i \(-0.865167\pi\)
0.728609 + 0.684930i \(0.240167\pi\)
\(360\) 172.552 + 20.5432i 0.479312 + 0.0570646i
\(361\) 38.0423 + 56.9343i 0.105380 + 0.157713i
\(362\) −123.785 + 398.331i −0.341948 + 1.10036i
\(363\) −414.155 + 504.649i −1.14092 + 1.39022i
\(364\) 132.145 + 42.0491i 0.363036 + 0.115520i
\(365\) 528.253 + 282.357i 1.44727 + 0.773581i
\(366\) −37.3173 + 55.0385i −0.101960 + 0.150378i
\(367\) −31.4672 13.0341i −0.0857417 0.0355154i 0.339400 0.940642i \(-0.389776\pi\)
−0.425142 + 0.905127i \(0.639776\pi\)
\(368\) −6.10607 9.69724i −0.0165926 0.0263512i
\(369\) 15.3784 + 37.1268i 0.0416759 + 0.100615i
\(370\) −165.978 + 805.858i −0.448589 + 2.17799i
\(371\) 15.6919 4.76008i 0.0422962 0.0128304i
\(372\) −202.095 253.172i −0.543267 0.680569i
\(373\) 4.51918 0.445101i 0.0121158 0.00119330i −0.0919574 0.995763i \(-0.529312\pi\)
0.104073 + 0.994570i \(0.466812\pi\)
\(374\) −885.542 736.841i −2.36776 1.97016i
\(375\) −182.883 36.3778i −0.487689 0.0970074i
\(376\) 694.769 + 14.1216i 1.84779 + 0.0375573i
\(377\) 109.915 21.8635i 0.291552 0.0579933i
\(378\) 249.654 73.8887i 0.660461 0.195473i
\(379\) 87.9798 290.030i 0.232137 0.765252i −0.761048 0.648696i \(-0.775315\pi\)
0.993184 0.116556i \(-0.0371854\pi\)
\(380\) 414.950 + 5.62229i 1.09197 + 0.0147955i
\(381\) −161.010 196.191i −0.422599 0.514938i
\(382\) −27.0809 11.4328i −0.0708924 0.0299288i
\(383\) 64.8007i 0.169192i 0.996415 + 0.0845962i \(0.0269600\pi\)
−0.996415 + 0.0845962i \(0.973040\pi\)
\(384\) 152.761 255.833i 0.397815 0.666232i
\(385\) −540.221 −1.40317
\(386\) 239.795 568.002i 0.621230 1.47151i
\(387\) 65.2976 53.5884i 0.168728 0.138471i
\(388\) −294.594 3.99155i −0.759263 0.0102875i
\(389\) 562.435 + 170.613i 1.44585 + 0.438594i 0.913120 0.407692i \(-0.133666\pi\)
0.532730 + 0.846285i \(0.321166\pi\)
\(390\) 62.5115 + 211.213i 0.160286 + 0.541572i
\(391\) 4.01695 + 20.1946i 0.0102735 + 0.0516485i
\(392\) −162.024 168.747i −0.413327 0.430478i
\(393\) 35.2633 177.281i 0.0897286 0.451096i
\(394\) −185.256 + 222.642i −0.470193 + 0.565081i
\(395\) 39.5664 + 401.724i 0.100168 + 1.01702i
\(396\) −179.041 224.291i −0.452124 0.566392i
\(397\) −63.9047 210.665i −0.160969 0.530643i 0.838939 0.544226i \(-0.183176\pi\)
−0.999908 + 0.0135823i \(0.995676\pi\)
\(398\) −5.45095 1.12270i −0.0136959 0.00282086i
\(399\) 163.504 67.7255i 0.409784 0.169738i
\(400\) −109.059 + 154.015i −0.272647 + 0.385037i
\(401\) 120.690 291.371i 0.300972 0.726612i −0.698962 0.715159i \(-0.746354\pi\)
0.999934 0.0114530i \(-0.00364568\pi\)
\(402\) 346.043 + 234.624i 0.860802 + 0.583643i
\(403\) −127.908 + 239.299i −0.317390 + 0.593795i
\(404\) −437.422 139.189i −1.08273 0.344528i
\(405\) 168.564 + 138.337i 0.416207 + 0.341573i
\(406\) 121.982 + 37.9069i 0.300447 + 0.0933669i
\(407\) 1129.83 754.929i 2.77600 1.85486i
\(408\) −420.676 + 331.165i −1.03107 + 0.811680i
\(409\) 206.900 + 138.246i 0.505868 + 0.338010i 0.782174 0.623060i \(-0.214111\pi\)
−0.276307 + 0.961069i \(0.589111\pi\)
\(410\) −135.396 14.2621i −0.330234 0.0347856i
\(411\) −48.8319 91.3580i −0.118812 0.222282i
\(412\) −35.0351 + 6.47676i −0.0850367 + 0.0157203i
\(413\) −0.962653 + 9.77398i −0.00233088 + 0.0236658i
\(414\) −0.0347478 + 5.12932i −8.39319e−5 + 0.0123897i
\(415\) 64.4812 + 64.4812i 0.155376 + 0.155376i
\(416\) −247.412 32.8610i −0.594740 0.0789927i
\(417\) 20.6408 + 20.6408i 0.0494984 + 0.0494984i
\(418\) −481.333 487.899i −1.15151 1.16722i
\(419\) 25.8622 262.583i 0.0617236 0.626690i −0.913706 0.406377i \(-0.866792\pi\)
0.975429 0.220313i \(-0.0707079\pi\)
\(420\) −52.3117 + 245.553i −0.124552 + 0.584651i
\(421\) 318.650 + 596.152i 0.756888 + 1.41604i 0.904271 + 0.426959i \(0.140415\pi\)
−0.147383 + 0.989079i \(0.547085\pi\)
\(422\) 5.66622 + 7.00049i 0.0134271 + 0.0165888i
\(423\) −258.630 172.811i −0.611419 0.408537i
\(424\) −26.3054 + 13.3805i −0.0620411 + 0.0315578i
\(425\) 281.938 188.385i 0.663383 0.443258i
\(426\) 201.822 106.125i 0.473762 0.249119i
\(427\) 49.0749 + 40.2748i 0.114930 + 0.0943203i
\(428\) 452.427 38.3788i 1.05707 0.0896702i
\(429\) 171.486 320.828i 0.399734 0.747850i
\(430\) 53.9287 + 281.055i 0.125416 + 0.653616i
\(431\) −167.049 + 403.291i −0.387584 + 0.935711i 0.602866 + 0.797842i \(0.294025\pi\)
−0.990450 + 0.137869i \(0.955975\pi\)
\(432\) −419.095 + 209.615i −0.970127 + 0.485220i
\(433\) 681.588 282.323i 1.57411 0.652016i 0.586641 0.809847i \(-0.300450\pi\)
0.987466 + 0.157831i \(0.0504501\pi\)
\(434\) −258.309 + 170.077i −0.595182 + 0.391882i
\(435\) 58.8974 + 194.159i 0.135396 + 0.446342i
\(436\) −215.571 746.924i −0.494428 1.71313i
\(437\) 1.20069 + 12.1908i 0.00274757 + 0.0278966i
\(438\) −457.820 + 41.9619i −1.04525 + 0.0958035i
\(439\) 43.2307 217.335i 0.0984754 0.495069i −0.899797 0.436309i \(-0.856285\pi\)
0.998272 0.0587599i \(-0.0187146\pi\)
\(440\) 957.262 170.266i 2.17560 0.386968i
\(441\) 20.4287 + 102.702i 0.0463237 + 0.232885i
\(442\) 394.055 + 214.071i 0.891527 + 0.484324i
\(443\) −615.267 186.639i −1.38886 0.421308i −0.494707 0.869060i \(-0.664725\pi\)
−0.894158 + 0.447752i \(0.852225\pi\)
\(444\) −233.742 586.659i −0.526445 1.32130i
\(445\) 298.276 244.789i 0.670283 0.550087i
\(446\) −343.394 + 139.520i −0.769941 + 0.312826i
\(447\) 177.282 0.396604
\(448\) −229.917 167.528i −0.513207 0.373946i
\(449\) 808.823i 1.80139i 0.434455 + 0.900694i \(0.356941\pi\)
−0.434455 + 0.900694i \(0.643059\pi\)
\(450\) 78.2596 31.7968i 0.173910 0.0706596i
\(451\) 142.642 + 173.810i 0.316280 + 0.385388i
\(452\) −256.356 + 595.932i −0.567160 + 1.31843i
\(453\) −36.4856 + 120.277i −0.0805422 + 0.265512i
\(454\) 669.216 + 363.553i 1.47404 + 0.800778i
\(455\) 206.254 41.0265i 0.453306 0.0901681i
\(456\) −268.380 + 171.541i −0.588553 + 0.376187i
\(457\) 787.999 + 156.743i 1.72429 + 0.342982i 0.955155 0.296107i \(-0.0956885\pi\)
0.769133 + 0.639089i \(0.220689\pi\)
\(458\) 593.525 54.4001i 1.29591 0.118777i
\(459\) 837.902 82.5262i 1.82550 0.179796i
\(460\) −15.2136 8.39882i −0.0330731 0.0182583i
\(461\) −663.291 + 201.207i −1.43881 + 0.436458i −0.910824 0.412795i \(-0.864553\pi\)
−0.527986 + 0.849253i \(0.677053\pi\)
\(462\) 346.313 228.021i 0.749596 0.493552i
\(463\) 200.594 + 484.277i 0.433249 + 1.04596i 0.978233 + 0.207509i \(0.0665357\pi\)
−0.544984 + 0.838446i \(0.683464\pi\)
\(464\) −228.097 28.7245i −0.491587 0.0619062i
\(465\) −453.854 187.992i −0.976030 0.404285i
\(466\) −48.8237 254.450i −0.104772 0.546029i
\(467\) 256.741 + 137.231i 0.549768 + 0.293857i 0.722798 0.691060i \(-0.242856\pi\)
−0.173030 + 0.984917i \(0.555356\pi\)
\(468\) 85.3906 + 72.0363i 0.182459 + 0.153924i
\(469\) 253.219 308.548i 0.539912 0.657885i
\(470\) 932.724 490.457i 1.98452 1.04352i
\(471\) 125.396 + 187.668i 0.266233 + 0.398446i
\(472\) −1.37474 17.6227i −0.00291259 0.0373363i
\(473\) 262.584 392.985i 0.555146 0.830835i
\(474\) −194.927 240.828i −0.411239 0.508076i
\(475\) 177.911 95.0957i 0.374550 0.200201i
\(476\) 278.191 + 428.808i 0.584436 + 0.900856i
\(477\) 13.1468 + 1.29485i 0.0275614 + 0.00271456i
\(478\) −402.788 408.282i −0.842652 0.854147i
\(479\) −104.003 + 104.003i −0.217125 + 0.217125i −0.807286 0.590161i \(-0.799064\pi\)
0.590161 + 0.807286i \(0.299064\pi\)
\(480\) 15.3022 451.604i 0.0318797 0.940841i
\(481\) −374.033 + 374.033i −0.777615 + 0.777615i
\(482\) 0.780215 115.172i 0.00161870 0.238946i
\(483\) −7.37532 0.726405i −0.0152698 0.00150394i
\(484\) −924.183 635.797i −1.90947 1.31363i
\(485\) −394.028 + 210.612i −0.812429 + 0.434252i
\(486\) 357.816 + 37.6909i 0.736247 + 0.0775534i
\(487\) −206.554 + 309.129i −0.424135 + 0.634763i −0.980580 0.196122i \(-0.937165\pi\)
0.556445 + 0.830885i \(0.312165\pi\)
\(488\) −99.6536 55.8988i −0.204208 0.114547i
\(489\) 135.233 + 202.391i 0.276551 + 0.413887i
\(490\) −338.780 105.279i −0.691388 0.214855i
\(491\) 427.506 520.918i 0.870685 1.06093i −0.126930 0.991912i \(-0.540512\pi\)
0.997615 0.0690209i \(-0.0219875\pi\)
\(492\) 92.8167 48.0063i 0.188652 0.0975737i
\(493\) 364.300 + 194.723i 0.738946 + 0.394975i
\(494\) 220.824 + 149.723i 0.447012 + 0.303084i
\(495\) −402.080 166.547i −0.812283 0.336459i
\(496\) 404.114 382.786i 0.814746 0.771746i
\(497\) −83.3094 201.127i −0.167624 0.404681i
\(498\) −68.5530 14.1195i −0.137657 0.0283523i
\(499\) −94.0696 + 28.5357i −0.188516 + 0.0571858i −0.383131 0.923694i \(-0.625154\pi\)
0.194615 + 0.980880i \(0.437654\pi\)
\(500\) 35.7221 318.406i 0.0714442 0.636812i
\(501\) −63.0996 + 6.21476i −0.125947 + 0.0124047i
\(502\) −389.766 + 468.424i −0.776427 + 0.933116i
\(503\) 326.783 + 65.0012i 0.649669 + 0.129227i 0.508914 0.860817i \(-0.330047\pi\)
0.140755 + 0.990045i \(0.455047\pi\)
\(504\) 46.3286 + 118.609i 0.0919218 + 0.235335i
\(505\) −682.734 + 135.804i −1.35195 + 0.268919i
\(506\) 8.14503 + 27.5203i 0.0160969 + 0.0543880i
\(507\) 73.0944 240.960i 0.144170 0.475266i
\(508\) 312.522 304.167i 0.615202 0.598753i
\(509\) 364.442 + 444.074i 0.715997 + 0.872445i 0.996164 0.0875066i \(-0.0278899\pi\)
−0.280167 + 0.959951i \(0.590390\pi\)
\(510\) −315.774 + 747.973i −0.619164 + 1.46661i
\(511\) 438.920i 0.858944i
\(512\) 460.209 + 224.392i 0.898846 + 0.438265i
\(513\) 500.907 0.976427
\(514\) −635.731 268.388i −1.23683 0.522156i
\(515\) −41.7657 + 34.2762i −0.0810984 + 0.0665557i
\(516\) −153.201 157.410i −0.296902 0.305058i
\(517\) −1665.47 505.213i −3.22140 0.977202i
\(518\) −578.123 + 171.104i −1.11607 + 0.330316i
\(519\) −76.4747 384.464i −0.147350 0.740779i
\(520\) −352.548 + 137.705i −0.677977 + 0.264817i
\(521\) −135.408 + 680.743i −0.259901 + 1.30661i 0.601578 + 0.798814i \(0.294539\pi\)
−0.861478 + 0.507794i \(0.830461\pi\)
\(522\) 79.1029 + 65.8199i 0.151538 + 0.126092i
\(523\) 5.09678 + 51.7485i 0.00974528 + 0.0989455i 0.998827 0.0484232i \(-0.0154196\pi\)
−0.989082 + 0.147369i \(0.952920\pi\)
\(524\) 308.652 + 34.6278i 0.589030 + 0.0660835i
\(525\) 35.4280 + 116.791i 0.0674820 + 0.222458i
\(526\) −159.473 + 774.276i −0.303181 + 1.47201i
\(527\) −924.004 + 382.735i −1.75333 + 0.726252i
\(528\) −541.793 + 513.199i −1.02612 + 0.971968i
\(529\) −202.243 + 488.258i −0.382312 + 0.922984i
\(530\) −25.1163 + 37.0435i −0.0473893 + 0.0698934i
\(531\) −3.72975 + 6.97788i −0.00702402 + 0.0131410i
\(532\) 139.703 + 270.105i 0.262599 + 0.507717i
\(533\) −67.6600 55.5271i −0.126942 0.104178i
\(534\) −87.8898 + 282.822i −0.164588 + 0.529630i
\(535\) 572.512 382.541i 1.07012 0.715029i
\(536\) −351.451 + 626.551i −0.655693 + 1.16894i
\(537\) 78.3956 + 52.3822i 0.145988 + 0.0975461i
\(538\) 94.8054 900.028i 0.176218 1.67292i
\(539\) 276.191 + 516.717i 0.512414 + 0.958659i
\(540\) −402.760 + 585.444i −0.745852 + 1.08416i
\(541\) 71.4904 725.854i 0.132145 1.34169i −0.669019 0.743245i \(-0.733286\pi\)
0.801164 0.598445i \(-0.204214\pi\)
\(542\) −376.147 2.54816i −0.693999 0.00470140i
\(543\) −343.305 343.305i −0.632238 0.632238i
\(544\) −628.101 672.159i −1.15460 1.23559i
\(545\) −833.621 833.621i −1.52958 1.52958i
\(546\) −114.904 + 113.358i −0.210447 + 0.207615i
\(547\) 68.5509 696.009i 0.125322 1.27241i −0.702607 0.711578i \(-0.747981\pi\)
0.827929 0.560834i \(-0.189519\pi\)
\(548\) 149.326 96.8758i 0.272492 0.176781i
\(549\) 24.1094 + 45.1056i 0.0439152 + 0.0821595i
\(550\) 367.380 297.359i 0.667965 0.540653i
\(551\) 204.335 + 136.533i 0.370845 + 0.247791i
\(552\) 13.2979 1.03736i 0.0240903 0.00187928i
\(553\) −245.949 + 164.338i −0.444754 + 0.297175i
\(554\) 189.704 + 360.769i 0.342426 + 0.651208i
\(555\) −740.285 607.536i −1.33385 1.09466i
\(556\) −32.3422 + 38.3379i −0.0581694 + 0.0689531i
\(557\) 51.2190 95.8240i 0.0919551 0.172036i −0.831739 0.555167i \(-0.812654\pi\)
0.923694 + 0.383131i \(0.125154\pi\)
\(558\) −244.690 + 46.9510i −0.438512 + 0.0841415i
\(559\) −70.4087 + 169.982i −0.125955 + 0.304082i
\(560\) −428.020 53.9011i −0.764322 0.0962520i
\(561\) 1238.81 513.131i 2.20821 0.914672i
\(562\) 215.218 + 326.868i 0.382950 + 0.581616i
\(563\) −279.392 921.033i −0.496256 1.63594i −0.744779 0.667311i \(-0.767445\pi\)
0.248523 0.968626i \(-0.420055\pi\)
\(564\) −390.914 + 708.103i −0.693111 + 1.25550i
\(565\) 96.4274 + 979.044i 0.170668 + 1.73282i
\(566\) −92.2788 1006.80i −0.163037 1.77879i
\(567\) −31.1737 + 156.721i −0.0549802 + 0.276404i
\(568\) 211.013 + 330.135i 0.371502 + 0.581224i
\(569\) 46.3775 + 233.155i 0.0815070 + 0.409763i 0.999901 + 0.0140954i \(0.00448684\pi\)
−0.918394 + 0.395668i \(0.870513\pi\)
\(570\) −230.576 + 424.437i −0.404520 + 0.744626i
\(571\) −616.518 187.019i −1.07972 0.327528i −0.300178 0.953883i \(-0.597046\pi\)
−0.779538 + 0.626355i \(0.784546\pi\)
\(572\) 574.209 + 247.011i 1.00386 + 0.431838i
\(573\) 26.4482 21.7055i 0.0461575 0.0378805i
\(574\) −37.5530 92.4269i −0.0654233 0.161023i
\(575\) −8.44770 −0.0146917
\(576\) −119.476 195.571i −0.207424 0.339533i
\(577\) 174.480i 0.302391i −0.988504 0.151195i \(-0.951688\pi\)
0.988504 0.151195i \(-0.0483123\pi\)
\(578\) 404.627 + 995.885i 0.700047 + 1.72298i
\(579\) 455.257 + 554.733i 0.786282 + 0.958087i
\(580\) −323.873 + 129.040i −0.558402 + 0.222483i
\(581\) −19.3975 + 63.9451i −0.0333864 + 0.110060i
\(582\) 163.698 301.329i 0.281268 0.517748i
\(583\) 72.4949 14.4201i 0.124348 0.0247343i
\(584\) −138.338 777.759i −0.236880 1.33178i
\(585\) 166.161 + 33.0514i 0.284035 + 0.0564982i
\(586\) −7.05025 76.9208i −0.0120311 0.131264i
\(587\) −412.127 + 40.5910i −0.702091 + 0.0691499i −0.442762 0.896639i \(-0.646001\pi\)
−0.259329 + 0.965789i \(0.583501\pi\)
\(588\) 261.615 75.5049i 0.444923 0.128410i
\(589\) −569.391 + 172.723i −0.966709 + 0.293248i
\(590\) −14.7410 22.3883i −0.0249848 0.0379463i
\(591\) −129.011 311.460i −0.218292 0.527004i
\(592\) 970.495 485.405i 1.63935 0.819940i
\(593\) −171.401 70.9967i −0.289041 0.119725i 0.233452 0.972368i \(-0.424998\pi\)
−0.522493 + 0.852644i \(0.674998\pi\)
\(594\) 1152.56 221.153i 1.94034 0.372312i
\(595\) 683.605 + 365.394i 1.14892 + 0.614108i
\(596\) 25.7483 + 303.532i 0.0432018 + 0.509282i
\(597\) 4.10947 5.00740i 0.00688353 0.00838761i
\(598\) −5.19974 9.88858i −0.00869521 0.0165361i
\(599\) 297.916 + 445.862i 0.497355 + 0.744344i 0.992203 0.124635i \(-0.0397761\pi\)
−0.494848 + 0.868980i \(0.664776\pi\)
\(600\) −99.5876 195.785i −0.165979 0.326308i
\(601\) 250.781 375.321i 0.417273 0.624494i −0.561976 0.827154i \(-0.689959\pi\)
0.979249 + 0.202660i \(0.0649586\pi\)
\(602\) −163.004 + 131.937i −0.270772 + 0.219164i
\(603\) 283.591 151.583i 0.470301 0.251381i
\(604\) −211.230 44.9997i −0.349719 0.0745027i
\(605\) −1692.93 166.739i −2.79823 0.275601i
\(606\) 380.351 375.232i 0.627642 0.619195i
\(607\) 454.085 454.085i 0.748080 0.748080i −0.226038 0.974118i \(-0.572577\pi\)
0.974118 + 0.226038i \(0.0725774\pi\)
\(608\) −332.682 434.590i −0.547175 0.714787i
\(609\) −105.131 + 105.131i −0.172629 + 0.172629i
\(610\) −173.269 1.17378i −0.284047 0.00192424i
\(611\) 674.235 + 66.4064i 1.10349 + 0.108685i
\(612\) 74.8557 + 404.921i 0.122313 + 0.661636i
\(613\) 336.334 179.774i 0.548668 0.293269i −0.173676 0.984803i \(-0.555565\pi\)
0.722344 + 0.691534i \(0.243065\pi\)
\(614\) 88.4580 839.770i 0.144068 1.36770i
\(615\) 88.0389 131.760i 0.143153 0.214243i
\(616\) 440.702 + 559.820i 0.715426 + 0.908799i
\(617\) 475.630 + 711.830i 0.770875 + 1.15370i 0.984260 + 0.176728i \(0.0565512\pi\)
−0.213385 + 0.976968i \(0.568449\pi\)
\(618\) 12.3067 39.6018i 0.0199137 0.0640807i
\(619\) −740.129 + 901.850i −1.19569 + 1.45695i −0.339247 + 0.940697i \(0.610172\pi\)
−0.856438 + 0.516249i \(0.827328\pi\)
\(620\) 255.952 804.366i 0.412827 1.29736i
\(621\) −18.4991 9.88799i −0.0297893 0.0159227i
\(622\) 469.911 693.061i 0.755484 1.11425i
\(623\) 261.229 + 108.205i 0.419309 + 0.173683i
\(624\) 167.880 237.083i 0.269039 0.379941i
\(625\) −298.781 721.321i −0.478050 1.15411i
\(626\) −73.2912 + 355.844i −0.117079 + 0.568441i
\(627\) 763.380 231.569i 1.21751 0.369328i
\(628\) −303.102 + 241.952i −0.482647 + 0.385274i
\(629\) −1940.33 + 191.105i −3.08478 + 0.303824i
\(630\) 148.436 + 123.510i 0.235612 + 0.196048i
\(631\) −428.374 85.2090i −0.678882 0.135038i −0.156407 0.987693i \(-0.549991\pi\)
−0.522475 + 0.852655i \(0.674991\pi\)
\(632\) 384.021 368.721i 0.607628 0.583419i
\(633\) −10.2814 + 2.04510i −0.0162423 + 0.00323080i
\(634\) 494.212 146.269i 0.779514 0.230708i
\(635\) 191.977 632.863i 0.302326 0.996634i
\(636\) 0.465397 34.3484i 0.000731757 0.0540069i
\(637\) −144.690 176.305i −0.227143 0.276775i
\(638\) 530.446 + 223.940i 0.831420 + 0.351003i
\(639\) 175.380i 0.274460i
\(640\) 775.432 39.3909i 1.21161 0.0615483i
\(641\) −21.9661 −0.0342685 −0.0171342 0.999853i \(-0.505454\pi\)
−0.0171342 + 0.999853i \(0.505454\pi\)
\(642\) −205.548 + 486.882i −0.320168 + 0.758383i
\(643\) 244.248 200.449i 0.379856 0.311740i −0.425018 0.905185i \(-0.639732\pi\)
0.804875 + 0.593445i \(0.202232\pi\)
\(644\) 0.172525 12.7331i 0.000267896 0.0197719i
\(645\) −318.758 96.6941i −0.494198 0.149913i
\(646\) 279.082 + 942.959i 0.432016 + 1.45969i
\(647\) −237.231 1192.64i −0.366663 1.84334i −0.518689 0.854963i \(-0.673580\pi\)
0.152025 0.988377i \(-0.451420\pi\)
\(648\) 5.84425 287.532i 0.00901890 0.443722i
\(649\) −8.63668 + 43.4195i −0.0133077 + 0.0669022i
\(650\) −117.682 + 141.431i −0.181049 + 0.217586i
\(651\) −35.2839 358.244i −0.0541996 0.550297i
\(652\) −326.881 + 260.934i −0.501351 + 0.400205i
\(653\) 323.817 + 1067.48i 0.495891 + 1.63473i 0.745586 + 0.666409i \(0.232170\pi\)
−0.249695 + 0.968325i \(0.580330\pi\)
\(654\) 886.261 + 182.538i 1.35514 + 0.279110i
\(655\) 435.144 180.243i 0.664343 0.275180i
\(656\) 95.6741 + 151.943i 0.145845 + 0.231620i
\(657\) −135.317 + 326.683i −0.205961 + 0.497235i
\(658\) 639.151 + 433.359i 0.971354 + 0.658600i
\(659\) −63.1282 + 118.105i −0.0957940 + 0.179218i −0.925254 0.379348i \(-0.876148\pi\)
0.829460 + 0.558566i \(0.188648\pi\)
\(660\) −343.154 + 1078.41i −0.519930 + 1.63395i
\(661\) 590.667 + 484.748i 0.893597 + 0.733356i 0.964488 0.264128i \(-0.0850842\pi\)
−0.0708910 + 0.997484i \(0.522584\pi\)
\(662\) 229.953 + 71.4602i 0.347362 + 0.107946i
\(663\) −434.002 + 289.991i −0.654604 + 0.437392i
\(664\) 14.2180 119.423i 0.0214126 0.179854i
\(665\) 383.433 + 256.202i 0.576591 + 0.385266i
\(666\) −483.041 50.8816i −0.725286 0.0763988i
\(667\) −4.85119 9.07594i −0.00727315 0.0136071i
\(668\) −19.8051 107.133i −0.0296483 0.160378i
\(669\) 42.2868 429.345i 0.0632090 0.641772i
\(670\) −7.37992 + 1089.39i −0.0110148 + 1.62596i
\(671\) 202.350 + 202.350i 0.301565 + 0.301565i
\(672\) 297.137 146.108i 0.442168 0.217423i
\(673\) 82.7328 + 82.7328i 0.122931 + 0.122931i 0.765896 0.642965i \(-0.222296\pi\)
−0.642965 + 0.765896i \(0.722296\pi\)
\(674\) 528.922 + 536.137i 0.784751 + 0.795456i
\(675\) −33.8586 + 343.773i −0.0501609 + 0.509293i
\(676\) 423.174 + 90.1512i 0.625997 + 0.133360i
\(677\) 4.21204 + 7.88017i 0.00622162 + 0.0116398i 0.885013 0.465567i \(-0.154149\pi\)
−0.878791 + 0.477206i \(0.841649\pi\)
\(678\) −475.059 586.924i −0.700676 0.865669i
\(679\) −272.219 181.891i −0.400911 0.267880i
\(680\) −1326.50 432.015i −1.95073 0.635316i
\(681\) −737.058 + 492.486i −1.08232 + 0.723181i
\(682\) −1233.88 + 648.817i −1.80921 + 0.951344i
\(683\) −260.169 213.515i −0.380921 0.312614i 0.424375 0.905487i \(-0.360494\pi\)
−0.805296 + 0.592872i \(0.797994\pi\)
\(684\) 20.7072 + 244.106i 0.0302737 + 0.356880i
\(685\) 127.243 238.055i 0.185756 0.347525i
\(686\) −131.074 683.106i −0.191070 0.995782i
\(687\) −265.478 + 640.920i −0.386431 + 0.932926i
\(688\) 247.257 285.165i 0.359386 0.414483i
\(689\) −26.5831 + 11.0111i −0.0385822 + 0.0159813i
\(690\) 16.8939 11.1234i 0.0244840 0.0161208i
\(691\) −199.111 656.381i −0.288149 0.949900i −0.974832 0.222943i \(-0.928434\pi\)
0.686683 0.726957i \(-0.259066\pi\)
\(692\) 647.150 186.775i 0.935188 0.269906i
\(693\) −31.2589 317.377i −0.0451066 0.457975i
\(694\) 1054.59 96.6595i 1.51958 0.139279i
\(695\) −14.8391 + 74.6014i −0.0213513 + 0.107340i
\(696\) 153.155 219.425i 0.220051 0.315266i
\(697\) −62.9403 316.422i −0.0903018 0.453978i
\(698\) 35.1864 + 19.1151i 0.0504103 + 0.0273855i
\(699\) 288.583 + 87.5408i 0.412852 + 0.125237i
\(700\) −194.816 + 77.6204i −0.278309 + 0.110886i
\(701\) 359.329 294.893i 0.512594 0.420675i −0.342212 0.939623i \(-0.611176\pi\)
0.854806 + 0.518947i \(0.173676\pi\)
\(702\) −423.248 + 171.965i −0.602918 + 0.244965i
\(703\) −1159.95 −1.65000
\(704\) −957.360 853.091i −1.35989 1.21178i
\(705\) 1226.58i 1.73983i
\(706\) 532.459 216.338i 0.754191 0.306427i
\(707\) −323.601 394.309i −0.457710 0.557722i
\(708\) 18.8997 + 8.13022i 0.0266945 + 0.0114834i
\(709\) 5.96408 19.6609i 0.00841196 0.0277305i −0.952634 0.304119i \(-0.901638\pi\)
0.961046 + 0.276389i \(0.0891378\pi\)
\(710\) 522.101 + 283.633i 0.735354 + 0.399483i
\(711\) −233.721 + 46.4900i −0.328722 + 0.0653868i
\(712\) −496.997 109.403i −0.698030 0.153656i
\(713\) 24.4379 + 4.86101i 0.0342748 + 0.00681768i
\(714\) −592.459 + 54.3024i −0.829775 + 0.0760538i
\(715\) 943.356 92.9125i 1.31938 0.129948i
\(716\) −78.2997 + 141.832i −0.109357 + 0.198090i
\(717\) 638.809 193.781i 0.890948 0.270266i
\(718\) 197.541 130.066i 0.275127 0.181150i
\(719\) 385.324 + 930.255i 0.535917 + 1.29382i 0.927551 + 0.373697i \(0.121910\pi\)
−0.391634 + 0.920121i \(0.628090\pi\)
\(720\) −301.953 172.074i −0.419379 0.238992i
\(721\) −36.5783 15.1512i −0.0507327 0.0210142i
\(722\) −25.8069 134.495i −0.0357436 0.186281i
\(723\) 118.228 + 63.1940i 0.163524 + 0.0874053i
\(724\) 537.926 637.649i 0.742992 0.880731i
\(725\) −107.514 + 131.007i −0.148296 + 0.180699i
\(726\) 1155.64 607.675i 1.59180 0.837018i
\(727\) −478.159 715.616i −0.657715 0.984341i −0.999014 0.0443859i \(-0.985867\pi\)
0.341299 0.939955i \(-0.389133\pi\)
\(728\) −210.773 180.268i −0.289524 0.247621i
\(729\) −412.413 + 617.220i −0.565724 + 0.846666i
\(730\) −753.686 931.162i −1.03245 1.27556i
\(731\) −598.085 + 319.683i −0.818174 + 0.437323i
\(732\) 111.571 72.3823i 0.152419 0.0988829i
\(733\) 840.100 + 82.7426i 1.14611 + 0.112882i 0.653192 0.757192i \(-0.273429\pi\)
0.492920 + 0.870075i \(0.335929\pi\)
\(734\) 47.8405 + 48.4931i 0.0651778 + 0.0660669i
\(735\) 291.981 291.981i 0.397253 0.397253i
\(736\) 3.70748 + 22.6172i 0.00503734 + 0.0307299i
\(737\) 1272.23 1272.23i 1.72623 1.72623i
\(738\) 0.544452 80.3696i 0.000737741 0.108902i
\(739\) −40.4474 3.98372i −0.0547326 0.00539069i 0.0706138 0.997504i \(-0.477504\pi\)
−0.125346 + 0.992113i \(0.540004\pi\)
\(740\) 932.669 1355.71i 1.26036 1.83204i
\(741\) −273.869 + 146.386i −0.369594 + 0.197552i
\(742\) −32.6155 3.43559i −0.0439562 0.00463017i
\(743\) −298.563 + 446.831i −0.401835 + 0.601388i −0.976111 0.217274i \(-0.930284\pi\)
0.574276 + 0.818662i \(0.305284\pi\)
\(744\) 175.433 + 623.680i 0.235797 + 0.838280i
\(745\) 256.646 + 384.098i 0.344491 + 0.515567i
\(746\) −8.67297 2.69521i −0.0116260 0.00361288i
\(747\) −34.1512 + 41.6134i −0.0457179 + 0.0557074i
\(748\) 1058.48 + 2046.49i 1.41507 + 2.73595i
\(749\) 444.982 + 237.848i 0.594101 + 0.317554i
\(750\) 308.671 + 209.286i 0.411562 + 0.279048i
\(751\) 1047.92 + 434.064i 1.39537 + 0.577982i 0.948546 0.316640i \(-0.102555\pi\)
0.446825 + 0.894621i \(0.352555\pi\)
\(752\) −1269.15 566.457i −1.68770 0.753267i
\(753\) −271.430 655.291i −0.360465 0.870240i
\(754\)