Properties

Label 210.3.w.a.173.1
Level 210
Weight 3
Character 210.173
Analytic conductor 5.722
Analytic rank 0
Dimension 64
CM no
Inner twists 4

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 210.w (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.72208555157\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(16\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 173.1
Character \(\chi\) \(=\) 210.173
Dual form 210.3.w.a.17.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.36603 + 0.366025i) q^{2} +(-2.99585 + 0.157742i) q^{3} +(1.73205 - 1.00000i) q^{4} +(2.05899 - 4.55638i) q^{5} +(4.03467 - 1.31204i) q^{6} +(-6.80611 + 1.63612i) q^{7} +(-2.00000 + 2.00000i) q^{8} +(8.95023 - 0.945145i) q^{9} +O(q^{10})\) \(q+(-1.36603 + 0.366025i) q^{2} +(-2.99585 + 0.157742i) q^{3} +(1.73205 - 1.00000i) q^{4} +(2.05899 - 4.55638i) q^{5} +(4.03467 - 1.31204i) q^{6} +(-6.80611 + 1.63612i) q^{7} +(-2.00000 + 2.00000i) q^{8} +(8.95023 - 0.945145i) q^{9} +(-1.14488 + 6.97777i) q^{10} +(7.66474 - 4.42524i) q^{11} +(-5.03122 + 3.26907i) q^{12} +(-5.26652 + 5.26652i) q^{13} +(8.69845 - 4.72619i) q^{14} +(-5.44969 + 13.9750i) q^{15} +(2.00000 - 3.46410i) q^{16} +(-9.09260 - 2.43636i) q^{17} +(-11.8803 + 4.56711i) q^{18} +(-16.3775 + 28.3666i) q^{19} +(-0.990104 - 9.95086i) q^{20} +(20.1320 - 5.97519i) q^{21} +(-8.85048 + 8.85048i) q^{22} +(3.23126 + 12.0592i) q^{23} +(5.67622 - 6.30718i) q^{24} +(-16.5211 - 18.7631i) q^{25} +(5.26652 - 9.12187i) q^{26} +(-26.6645 + 4.24334i) q^{27} +(-10.1524 + 9.63996i) q^{28} -48.1807 q^{29} +(2.32920 - 21.0849i) q^{30} +(-42.0786 + 24.2941i) q^{31} +(-1.46410 + 5.46410i) q^{32} +(-22.2644 + 14.4664i) q^{33} +13.3125 q^{34} +(-6.55890 + 34.3799i) q^{35} +(14.5571 - 10.5873i) q^{36} +(4.02200 + 15.0103i) q^{37} +(11.9891 - 44.7440i) q^{38} +(14.9469 - 16.6084i) q^{39} +(4.99478 + 13.2307i) q^{40} +45.6603 q^{41} +(-25.3137 + 15.5311i) q^{42} +(-17.0633 - 17.0633i) q^{43} +(8.85048 - 15.3295i) q^{44} +(14.1220 - 42.7267i) q^{45} +(-8.82796 - 15.2905i) q^{46} +(18.2007 + 67.9259i) q^{47} +(-5.44526 + 10.6934i) q^{48} +(43.6462 - 22.2713i) q^{49} +(29.4360 + 19.5837i) q^{50} +(27.6244 + 5.86467i) q^{51} +(-3.85536 + 14.3884i) q^{52} +(23.5937 + 6.32192i) q^{53} +(34.8712 - 15.5564i) q^{54} +(-4.38145 - 44.0349i) q^{55} +(10.3400 - 16.8845i) q^{56} +(44.5898 - 87.5655i) q^{57} +(65.8160 - 17.6353i) q^{58} +(-31.3814 + 18.1181i) q^{59} +(4.53588 + 29.6551i) q^{60} +(41.5066 + 23.9639i) q^{61} +(48.5881 - 48.5881i) q^{62} +(-59.3699 + 21.0764i) q^{63} -8.00000i q^{64} +(13.1525 + 34.8399i) q^{65} +(25.1186 - 27.9108i) q^{66} +(20.6531 + 5.53399i) q^{67} +(-18.1852 + 4.87271i) q^{68} +(-11.5826 - 35.6179i) q^{69} +(-3.62431 - 49.3646i) q^{70} -42.3831i q^{71} +(-16.0102 + 19.7908i) q^{72} +(-118.781 - 31.8274i) q^{73} +(-10.9883 - 19.0323i) q^{74} +(52.4546 + 53.6052i) q^{75} +65.5098i q^{76} +(-44.9268 + 42.6591i) q^{77} +(-14.3388 + 28.1585i) q^{78} +(53.6989 + 31.0031i) q^{79} +(-11.6658 - 16.2453i) q^{80} +(79.2134 - 16.9185i) q^{81} +(-62.3731 + 16.7128i) q^{82} +(-113.897 - 113.897i) q^{83} +(28.8944 - 30.4813i) q^{84} +(-29.8225 + 36.4129i) q^{85} +(29.5545 + 17.0633i) q^{86} +(144.342 - 7.60013i) q^{87} +(-6.47900 + 24.1799i) q^{88} +(-104.881 - 60.5529i) q^{89} +(-3.65195 + 63.5347i) q^{90} +(27.2278 - 44.4611i) q^{91} +(17.6559 + 17.6559i) q^{92} +(122.229 - 79.4190i) q^{93} +(-49.7252 - 86.1265i) q^{94} +(95.5279 + 133.028i) q^{95} +(3.52431 - 16.6006i) q^{96} +(72.8209 + 72.8209i) q^{97} +(-51.4700 + 46.3987i) q^{98} +(64.4187 - 46.8512i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64q - 32q^{2} - 6q^{3} - 12q^{5} + 4q^{7} - 128q^{8} - 16q^{9} + O(q^{10}) \) \( 64q - 32q^{2} - 6q^{3} - 12q^{5} + 4q^{7} - 128q^{8} - 16q^{9} + 24q^{10} + 12q^{12} - 16q^{14} - 44q^{15} + 128q^{16} - 20q^{18} + 36q^{21} + 16q^{22} - 12q^{23} - 16q^{25} + 8q^{28} - 112q^{29} + 26q^{30} + 128q^{32} + 30q^{33} + 16q^{36} - 32q^{37} + 24q^{38} + 64q^{39} - 136q^{42} + 32q^{43} - 16q^{44} - 114q^{45} - 24q^{46} - 96q^{47} + 40q^{50} - 84q^{51} + 56q^{53} - 72q^{54} - 316q^{57} + 56q^{58} + 672q^{59} + 8q^{60} + 600q^{61} - 210q^{63} + 28q^{65} + 16q^{67} + 24q^{72} - 624q^{73} - 64q^{74} + 48q^{75} + 208q^{77} - 8q^{78} - 48q^{80} - 64q^{81} - 192q^{82} + 160q^{84} - 152q^{85} + 60q^{87} - 16q^{88} + 144q^{89} - 232q^{91} + 48q^{92} - 170q^{93} + 136q^{95} - 48q^{96} + 128q^{98} + 160q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).

\(n\) \(31\) \(71\) \(127\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(-1\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.36603 + 0.366025i −0.683013 + 0.183013i
\(3\) −2.99585 + 0.157742i −0.998617 + 0.0525808i
\(4\) 1.73205 1.00000i 0.433013 0.250000i
\(5\) 2.05899 4.55638i 0.411798 0.911275i
\(6\) 4.03467 1.31204i 0.672445 0.218673i
\(7\) −6.80611 + 1.63612i −0.972301 + 0.233732i
\(8\) −2.00000 + 2.00000i −0.250000 + 0.250000i
\(9\) 8.95023 0.945145i 0.994471 0.105016i
\(10\) −1.14488 + 6.97777i −0.114488 + 0.697777i
\(11\) 7.66474 4.42524i 0.696794 0.402294i −0.109358 0.994002i \(-0.534880\pi\)
0.806152 + 0.591708i \(0.201546\pi\)
\(12\) −5.03122 + 3.26907i −0.419269 + 0.272422i
\(13\) −5.26652 + 5.26652i −0.405117 + 0.405117i −0.880032 0.474915i \(-0.842479\pi\)
0.474915 + 0.880032i \(0.342479\pi\)
\(14\) 8.69845 4.72619i 0.621318 0.337585i
\(15\) −5.44969 + 13.9750i −0.363312 + 0.931667i
\(16\) 2.00000 3.46410i 0.125000 0.216506i
\(17\) −9.09260 2.43636i −0.534859 0.143315i −0.0187279 0.999825i \(-0.505962\pi\)
−0.516131 + 0.856510i \(0.672628\pi\)
\(18\) −11.8803 + 4.56711i −0.660017 + 0.253728i
\(19\) −16.3775 + 28.3666i −0.861971 + 1.49298i 0.00805170 + 0.999968i \(0.497437\pi\)
−0.870023 + 0.493011i \(0.835896\pi\)
\(20\) −0.990104 9.95086i −0.0495052 0.497543i
\(21\) 20.1320 5.97519i 0.958666 0.284533i
\(22\) −8.85048 + 8.85048i −0.402294 + 0.402294i
\(23\) 3.23126 + 12.0592i 0.140490 + 0.524314i 0.999915 + 0.0130527i \(0.00415493\pi\)
−0.859425 + 0.511261i \(0.829178\pi\)
\(24\) 5.67622 6.30718i 0.236509 0.262799i
\(25\) −16.5211 18.7631i −0.660845 0.750522i
\(26\) 5.26652 9.12187i 0.202558 0.350841i
\(27\) −26.6645 + 4.24334i −0.987573 + 0.157161i
\(28\) −10.1524 + 9.63996i −0.362586 + 0.344284i
\(29\) −48.1807 −1.66140 −0.830701 0.556719i \(-0.812060\pi\)
−0.830701 + 0.556719i \(0.812060\pi\)
\(30\) 2.32920 21.0849i 0.0776401 0.702831i
\(31\) −42.0786 + 24.2941i −1.35737 + 0.783680i −0.989269 0.146105i \(-0.953326\pi\)
−0.368104 + 0.929785i \(0.619993\pi\)
\(32\) −1.46410 + 5.46410i −0.0457532 + 0.170753i
\(33\) −22.2644 + 14.4664i −0.674677 + 0.438376i
\(34\) 13.3125 0.391544
\(35\) −6.55890 + 34.3799i −0.187397 + 0.982284i
\(36\) 14.5571 10.5873i 0.404364 0.294091i
\(37\) 4.02200 + 15.0103i 0.108703 + 0.405684i 0.998739 0.0502056i \(-0.0159877\pi\)
−0.890036 + 0.455890i \(0.849321\pi\)
\(38\) 11.9891 44.7440i 0.315503 1.17747i
\(39\) 14.9469 16.6084i 0.383255 0.425858i
\(40\) 4.99478 + 13.2307i 0.124869 + 0.330768i
\(41\) 45.6603 1.11367 0.556833 0.830625i \(-0.312016\pi\)
0.556833 + 0.830625i \(0.312016\pi\)
\(42\) −25.3137 + 15.5311i −0.602708 + 0.369788i
\(43\) −17.0633 17.0633i −0.396821 0.396821i 0.480289 0.877110i \(-0.340532\pi\)
−0.877110 + 0.480289i \(0.840532\pi\)
\(44\) 8.85048 15.3295i 0.201147 0.348397i
\(45\) 14.1220 42.7267i 0.313822 0.949482i
\(46\) −8.82796 15.2905i −0.191912 0.332402i
\(47\) 18.2007 + 67.9259i 0.387249 + 1.44523i 0.834592 + 0.550869i \(0.185704\pi\)
−0.447343 + 0.894362i \(0.647630\pi\)
\(48\) −5.44526 + 10.6934i −0.113443 + 0.222779i
\(49\) 43.6462 22.2713i 0.890739 0.454516i
\(50\) 29.4360 + 19.5837i 0.588721 + 0.391673i
\(51\) 27.6244 + 5.86467i 0.541655 + 0.114993i
\(52\) −3.85536 + 14.3884i −0.0741415 + 0.276700i
\(53\) 23.5937 + 6.32192i 0.445165 + 0.119281i 0.474436 0.880290i \(-0.342652\pi\)
−0.0292714 + 0.999572i \(0.509319\pi\)
\(54\) 34.8712 15.5564i 0.645762 0.288081i
\(55\) −4.38145 44.0349i −0.0796626 0.800635i
\(56\) 10.3400 16.8845i 0.184642 0.301508i
\(57\) 44.5898 87.5655i 0.782277 1.53624i
\(58\) 65.8160 17.6353i 1.13476 0.304058i
\(59\) −31.3814 + 18.1181i −0.531888 + 0.307086i −0.741785 0.670638i \(-0.766021\pi\)
0.209897 + 0.977724i \(0.432687\pi\)
\(60\) 4.53588 + 29.6551i 0.0755979 + 0.494252i
\(61\) 41.5066 + 23.9639i 0.680436 + 0.392850i 0.800019 0.599974i \(-0.204822\pi\)
−0.119583 + 0.992824i \(0.538156\pi\)
\(62\) 48.5881 48.5881i 0.783680 0.783680i
\(63\) −59.3699 + 21.0764i −0.942379 + 0.334547i
\(64\) 8.00000i 0.125000i
\(65\) 13.1525 + 34.8399i 0.202347 + 0.535999i
\(66\) 25.1186 27.9108i 0.380585 0.422891i
\(67\) 20.6531 + 5.53399i 0.308256 + 0.0825968i 0.409631 0.912251i \(-0.365658\pi\)
−0.101375 + 0.994848i \(0.532324\pi\)
\(68\) −18.1852 + 4.87271i −0.267429 + 0.0716575i
\(69\) −11.5826 35.6179i −0.167864 0.516202i
\(70\) −3.62431 49.3646i −0.0517758 0.705209i
\(71\) 42.3831i 0.596945i −0.954418 0.298473i \(-0.903523\pi\)
0.954418 0.298473i \(-0.0964772\pi\)
\(72\) −16.0102 + 19.7908i −0.222364 + 0.274872i
\(73\) −118.781 31.8274i −1.62714 0.435991i −0.674053 0.738683i \(-0.735448\pi\)
−0.953088 + 0.302692i \(0.902115\pi\)
\(74\) −10.9883 19.0323i −0.148491 0.257194i
\(75\) 52.4546 + 53.6052i 0.699394 + 0.714736i
\(76\) 65.5098i 0.861971i
\(77\) −44.9268 + 42.6591i −0.583465 + 0.554014i
\(78\) −14.3388 + 28.1585i −0.183831 + 0.361007i
\(79\) 53.6989 + 31.0031i 0.679733 + 0.392444i 0.799755 0.600327i \(-0.204963\pi\)
−0.120021 + 0.992771i \(0.538296\pi\)
\(80\) −11.6658 16.2453i −0.145822 0.203066i
\(81\) 79.2134 16.9185i 0.977943 0.208871i
\(82\) −62.3731 + 16.7128i −0.760648 + 0.203815i
\(83\) −113.897 113.897i −1.37225 1.37225i −0.857100 0.515150i \(-0.827736\pi\)
−0.515150 0.857100i \(-0.672264\pi\)
\(84\) 28.8944 30.4813i 0.343981 0.362873i
\(85\) −29.8225 + 36.4129i −0.350853 + 0.428387i
\(86\) 29.5545 + 17.0633i 0.343657 + 0.198411i
\(87\) 144.342 7.60013i 1.65910 0.0873578i
\(88\) −6.47900 + 24.1799i −0.0736250 + 0.274772i
\(89\) −104.881 60.5529i −1.17843 0.680369i −0.222783 0.974868i \(-0.571514\pi\)
−0.955652 + 0.294499i \(0.904847\pi\)
\(90\) −3.65195 + 63.5347i −0.0405772 + 0.705942i
\(91\) 27.2278 44.4611i 0.299207 0.488584i
\(92\) 17.6559 + 17.6559i 0.191912 + 0.191912i
\(93\) 122.229 79.4190i 1.31429 0.853967i
\(94\) −49.7252 86.1265i −0.528991 0.916240i
\(95\) 95.5279 + 133.028i 1.00556 + 1.40030i
\(96\) 3.52431 16.6006i 0.0367115 0.172923i
\(97\) 72.8209 + 72.8209i 0.750731 + 0.750731i 0.974616 0.223885i \(-0.0718739\pi\)
−0.223885 + 0.974616i \(0.571874\pi\)
\(98\) −51.4700 + 46.3987i −0.525204 + 0.473456i
\(99\) 64.4187 46.8512i 0.650694 0.473244i
\(100\) −47.3785 15.9774i −0.473785 0.159774i
\(101\) −13.5712 23.5061i −0.134369 0.232733i 0.790987 0.611832i \(-0.209567\pi\)
−0.925356 + 0.379099i \(0.876234\pi\)
\(102\) −39.8822 + 2.09994i −0.391002 + 0.0205877i
\(103\) 6.34326 + 23.6734i 0.0615851 + 0.229839i 0.989858 0.142061i \(-0.0453731\pi\)
−0.928273 + 0.371900i \(0.878706\pi\)
\(104\) 21.0661i 0.202558i
\(105\) 14.2263 104.032i 0.135489 0.990779i
\(106\) −34.5436 −0.325883
\(107\) 2.07187 0.555157i 0.0193633 0.00518838i −0.249124 0.968471i \(-0.580143\pi\)
0.268488 + 0.963283i \(0.413476\pi\)
\(108\) −41.9409 + 34.0142i −0.388341 + 0.314946i
\(109\) −82.9111 + 47.8687i −0.760652 + 0.439163i −0.829530 0.558462i \(-0.811392\pi\)
0.0688777 + 0.997625i \(0.478058\pi\)
\(110\) 22.1031 + 58.5491i 0.200937 + 0.532265i
\(111\) −14.4171 44.3342i −0.129884 0.399408i
\(112\) −7.94452 + 26.8493i −0.0709332 + 0.239726i
\(113\) 38.2568 38.2568i 0.338556 0.338556i −0.517268 0.855824i \(-0.673051\pi\)
0.855824 + 0.517268i \(0.173051\pi\)
\(114\) −28.8596 + 135.938i −0.253154 + 1.19244i
\(115\) 61.5995 + 10.1070i 0.535648 + 0.0878867i
\(116\) −83.4514 + 48.1807i −0.719408 + 0.415351i
\(117\) −42.1589 + 52.1142i −0.360333 + 0.445420i
\(118\) 36.2361 36.2361i 0.307086 0.307086i
\(119\) 65.8714 + 1.70548i 0.553541 + 0.0143317i
\(120\) −17.0506 38.8494i −0.142089 0.323745i
\(121\) −21.3345 + 36.9525i −0.176319 + 0.305393i
\(122\) −65.4705 17.5428i −0.536643 0.143793i
\(123\) −136.791 + 7.20256i −1.11212 + 0.0585574i
\(124\) −48.5881 + 84.1571i −0.391840 + 0.678687i
\(125\) −119.508 + 36.6436i −0.956067 + 0.293149i
\(126\) 73.3863 50.5218i 0.582431 0.400967i
\(127\) 3.69352 3.69352i 0.0290828 0.0290828i −0.692416 0.721499i \(-0.743454\pi\)
0.721499 + 0.692416i \(0.243454\pi\)
\(128\) 2.92820 + 10.9282i 0.0228766 + 0.0853766i
\(129\) 53.8108 + 48.4275i 0.417138 + 0.375407i
\(130\) −30.7190 42.7781i −0.236300 0.329062i
\(131\) −5.87228 + 10.1711i −0.0448266 + 0.0776419i −0.887568 0.460676i \(-0.847607\pi\)
0.842742 + 0.538318i \(0.180940\pi\)
\(132\) −24.0966 + 47.3209i −0.182550 + 0.358492i
\(133\) 65.0555 219.862i 0.489139 1.65309i
\(134\) −30.2383 −0.225659
\(135\) −35.5676 + 130.230i −0.263463 + 0.964669i
\(136\) 23.0579 13.3125i 0.169544 0.0978860i
\(137\) 40.2367 150.166i 0.293699 1.09610i −0.648546 0.761175i \(-0.724623\pi\)
0.942245 0.334924i \(-0.108711\pi\)
\(138\) 28.8592 + 44.4155i 0.209125 + 0.321851i
\(139\) −183.552 −1.32052 −0.660259 0.751038i \(-0.729553\pi\)
−0.660259 + 0.751038i \(0.729553\pi\)
\(140\) 23.0196 + 66.1067i 0.164426 + 0.472191i
\(141\) −65.2413 200.625i −0.462704 1.42287i
\(142\) 15.5133 + 57.8964i 0.109249 + 0.407721i
\(143\) −17.0609 + 63.6720i −0.119307 + 0.445259i
\(144\) 14.6264 32.8948i 0.101572 0.228436i
\(145\) −99.2034 + 219.529i −0.684162 + 1.51399i
\(146\) 173.908 1.19115
\(147\) −127.244 + 73.6062i −0.865608 + 0.500723i
\(148\) 21.9766 + 21.9766i 0.148491 + 0.148491i
\(149\) −9.59314 + 16.6158i −0.0643835 + 0.111515i −0.896420 0.443205i \(-0.853841\pi\)
0.832037 + 0.554720i \(0.187175\pi\)
\(150\) −91.2751 54.0264i −0.608501 0.360176i
\(151\) −19.4616 33.7084i −0.128885 0.223235i 0.794360 0.607447i \(-0.207806\pi\)
−0.923245 + 0.384212i \(0.874473\pi\)
\(152\) −23.9783 89.4881i −0.157752 0.588737i
\(153\) −83.6836 13.2121i −0.546952 0.0863538i
\(154\) 45.7568 74.7178i 0.297122 0.485180i
\(155\) 24.0537 + 241.747i 0.155185 + 1.55966i
\(156\) 9.28041 43.7136i 0.0594898 0.280215i
\(157\) 57.1880 213.429i 0.364255 1.35942i −0.504173 0.863602i \(-0.668203\pi\)
0.868428 0.495815i \(-0.165131\pi\)
\(158\) −84.7020 22.6958i −0.536089 0.143645i
\(159\) −71.6805 15.2178i −0.450821 0.0957094i
\(160\) 21.8819 + 17.9215i 0.136762 + 0.112010i
\(161\) −41.7227 76.7896i −0.259147 0.476954i
\(162\) −102.015 + 52.1053i −0.629722 + 0.321637i
\(163\) 124.346 33.3184i 0.762858 0.204407i 0.143644 0.989629i \(-0.454118\pi\)
0.619214 + 0.785222i \(0.287451\pi\)
\(164\) 79.0859 45.6603i 0.482231 0.278416i
\(165\) 20.0723 + 131.231i 0.121650 + 0.795339i
\(166\) 197.275 + 113.897i 1.18840 + 0.686125i
\(167\) 10.7074 10.7074i 0.0641162 0.0641162i −0.674322 0.738438i \(-0.735564\pi\)
0.738438 + 0.674322i \(0.235564\pi\)
\(168\) −28.3136 + 52.2144i −0.168533 + 0.310800i
\(169\) 113.528i 0.671761i
\(170\) 27.4103 60.6567i 0.161237 0.356804i
\(171\) −119.772 + 269.367i −0.700418 + 1.57524i
\(172\) −46.6179 12.4912i −0.271034 0.0726234i
\(173\) 122.782 32.8994i 0.709723 0.190170i 0.114141 0.993465i \(-0.463588\pi\)
0.595582 + 0.803295i \(0.296922\pi\)
\(174\) −194.393 + 63.2148i −1.11720 + 0.363304i
\(175\) 143.143 + 100.673i 0.817962 + 0.575273i
\(176\) 35.4019i 0.201147i
\(177\) 91.1560 59.2292i 0.515006 0.334628i
\(178\) 165.434 + 44.3278i 0.929402 + 0.249032i
\(179\) −131.749 228.196i −0.736028 1.27484i −0.954271 0.298943i \(-0.903366\pi\)
0.218243 0.975894i \(-0.429967\pi\)
\(180\) −18.2667 88.1268i −0.101482 0.489593i
\(181\) 119.753i 0.661621i 0.943697 + 0.330811i \(0.107322\pi\)
−0.943697 + 0.330811i \(0.892678\pi\)
\(182\) −20.9200 + 70.7011i −0.114945 + 0.388468i
\(183\) −128.128 65.2448i −0.700151 0.356529i
\(184\) −30.5810 17.6559i −0.166201 0.0959561i
\(185\) 76.6740 + 12.5803i 0.414454 + 0.0680017i
\(186\) −137.898 + 153.227i −0.741389 + 0.823802i
\(187\) −80.4739 + 21.5629i −0.430341 + 0.115310i
\(188\) 99.4504 + 99.4504i 0.528991 + 0.528991i
\(189\) 174.539 72.5070i 0.923485 0.383635i
\(190\) −179.185 146.754i −0.943080 0.772392i
\(191\) −66.1056 38.1661i −0.346103 0.199822i 0.316865 0.948471i \(-0.397370\pi\)
−0.662967 + 0.748648i \(0.730703\pi\)
\(192\) 1.26194 + 23.9668i 0.00657260 + 0.124827i
\(193\) −58.3311 + 217.695i −0.302234 + 1.12795i 0.633067 + 0.774097i \(0.281796\pi\)
−0.935300 + 0.353855i \(0.884871\pi\)
\(194\) −126.130 72.8209i −0.650152 0.375366i
\(195\) −44.8988 102.300i −0.230250 0.524618i
\(196\) 53.3262 82.2212i 0.272072 0.419496i
\(197\) −71.0326 71.0326i −0.360572 0.360572i 0.503452 0.864023i \(-0.332063\pi\)
−0.864023 + 0.503452i \(0.832063\pi\)
\(198\) −70.8489 + 87.5788i −0.357822 + 0.442317i
\(199\) −68.8006 119.166i −0.345732 0.598825i 0.639755 0.768579i \(-0.279036\pi\)
−0.985486 + 0.169754i \(0.945703\pi\)
\(200\) 70.5684 + 4.48384i 0.352842 + 0.0224192i
\(201\) −62.7466 13.3211i −0.312172 0.0662743i
\(202\) 27.1425 + 27.1425i 0.134369 + 0.134369i
\(203\) 327.923 78.8295i 1.61538 0.388323i
\(204\) 53.7115 17.4665i 0.263292 0.0856200i
\(205\) 94.0140 208.045i 0.458605 1.01486i
\(206\) −17.3301 30.0166i −0.0841268 0.145712i
\(207\) 40.3182 + 104.879i 0.194774 + 0.506661i
\(208\) 7.71072 + 28.7768i 0.0370707 + 0.138350i
\(209\) 289.897i 1.38706i
\(210\) 18.6448 + 147.317i 0.0887846 + 0.701511i
\(211\) −9.16581 −0.0434399 −0.0217199 0.999764i \(-0.506914\pi\)
−0.0217199 + 0.999764i \(0.506914\pi\)
\(212\) 47.1874 12.6438i 0.222582 0.0596407i
\(213\) 6.68561 + 126.973i 0.0313879 + 0.596120i
\(214\) −2.62703 + 1.51672i −0.0122758 + 0.00708746i
\(215\) −112.880 + 42.6137i −0.525024 + 0.198203i
\(216\) 44.8423 61.8156i 0.207603 0.286183i
\(217\) 246.643 234.194i 1.13660 1.07923i
\(218\) 95.7375 95.7375i 0.439163 0.439163i
\(219\) 360.871 + 76.6131i 1.64781 + 0.349832i
\(220\) −51.6238 71.8893i −0.234654 0.326770i
\(221\) 60.7174 35.0552i 0.274740 0.158621i
\(222\) 35.9216 + 55.2847i 0.161809 + 0.249030i
\(223\) 107.480 107.480i 0.481975 0.481975i −0.423787 0.905762i \(-0.639300\pi\)
0.905762 + 0.423787i \(0.139300\pi\)
\(224\) 1.02489 39.5847i 0.00457539 0.176717i
\(225\) −165.602 152.319i −0.736008 0.676973i
\(226\) −38.2568 + 66.2628i −0.169278 + 0.293198i
\(227\) −219.799 58.8950i −0.968278 0.259449i −0.260177 0.965561i \(-0.583781\pi\)
−0.708101 + 0.706112i \(0.750448\pi\)
\(228\) −10.3337 196.258i −0.0453231 0.860779i
\(229\) 185.194 320.766i 0.808708 1.40072i −0.105051 0.994467i \(-0.533501\pi\)
0.913759 0.406256i \(-0.133166\pi\)
\(230\) −87.8459 + 8.74060i −0.381939 + 0.0380026i
\(231\) 127.865 134.887i 0.553527 0.583927i
\(232\) 96.3613 96.3613i 0.415351 0.415351i
\(233\) 68.7703 + 256.654i 0.295151 + 1.10152i 0.941097 + 0.338137i \(0.109797\pi\)
−0.645945 + 0.763384i \(0.723537\pi\)
\(234\) 38.5151 86.6205i 0.164594 0.370173i
\(235\) 346.971 + 56.9294i 1.47647 + 0.242253i
\(236\) −36.2361 + 62.7628i −0.153543 + 0.265944i
\(237\) −165.764 84.4100i −0.699428 0.356160i
\(238\) −90.6063 + 21.7809i −0.380699 + 0.0915163i
\(239\) 212.376 0.888604 0.444302 0.895877i \(-0.353452\pi\)
0.444302 + 0.895877i \(0.353452\pi\)
\(240\) 37.5115 + 46.8283i 0.156298 + 0.195118i
\(241\) −27.9403 + 16.1313i −0.115935 + 0.0669350i −0.556846 0.830616i \(-0.687989\pi\)
0.440911 + 0.897551i \(0.354655\pi\)
\(242\) 15.6180 58.2871i 0.0645371 0.240856i
\(243\) −234.643 + 63.1807i −0.965608 + 0.260003i
\(244\) 95.8554 0.392850
\(245\) −11.6092 244.725i −0.0473847 0.998877i
\(246\) 184.224 59.9080i 0.748879 0.243528i
\(247\) −63.1410 235.645i −0.255631 0.954029i
\(248\) 35.5690 132.745i 0.143423 0.535263i
\(249\) 359.184 + 323.251i 1.44251 + 1.29820i
\(250\) 149.839 93.7992i 0.599356 0.375197i
\(251\) −50.2807 −0.200321 −0.100161 0.994971i \(-0.531936\pi\)
−0.100161 + 0.994971i \(0.531936\pi\)
\(252\) −81.7552 + 95.8754i −0.324425 + 0.380458i
\(253\) 78.1317 + 78.1317i 0.308821 + 0.308821i
\(254\) −3.69352 + 6.39736i −0.0145414 + 0.0251865i
\(255\) 83.5999 113.792i 0.327843 0.446243i
\(256\) −8.00000 13.8564i −0.0312500 0.0541266i
\(257\) 37.7635 + 140.935i 0.146940 + 0.548386i 0.999661 + 0.0260209i \(0.00828363\pi\)
−0.852722 + 0.522365i \(0.825050\pi\)
\(258\) −91.2326 46.4571i −0.353615 0.180066i
\(259\) −51.9329 95.5814i −0.200513 0.369040i
\(260\) 57.6208 + 47.1920i 0.221618 + 0.181508i
\(261\) −431.228 + 45.5377i −1.65222 + 0.174474i
\(262\) 4.29881 16.0434i 0.0164077 0.0612343i
\(263\) 171.317 + 45.9044i 0.651397 + 0.174541i 0.569360 0.822088i \(-0.307191\pi\)
0.0820366 + 0.996629i \(0.473858\pi\)
\(264\) 15.5959 73.4615i 0.0590754 0.278263i
\(265\) 77.3842 94.4851i 0.292016 0.356548i
\(266\) −8.39253 + 324.148i −0.0315509 + 1.21860i
\(267\) 323.758 + 164.863i 1.21258 + 0.617465i
\(268\) 41.3063 11.0680i 0.154128 0.0412984i
\(269\) −98.0087 + 56.5853i −0.364345 + 0.210354i −0.670985 0.741471i \(-0.734128\pi\)
0.306640 + 0.951825i \(0.400795\pi\)
\(270\) 0.918579 190.917i 0.00340214 0.707099i
\(271\) 1.31107 + 0.756945i 0.00483789 + 0.00279316i 0.502417 0.864625i \(-0.332444\pi\)
−0.497579 + 0.867419i \(0.665778\pi\)
\(272\) −26.6250 + 26.6250i −0.0978860 + 0.0978860i
\(273\) −74.5570 + 137.494i −0.273103 + 0.503641i
\(274\) 219.858i 0.802400i
\(275\) −209.661 70.7039i −0.762404 0.257105i
\(276\) −55.6796 50.1094i −0.201738 0.181556i
\(277\) 39.7694 + 10.6562i 0.143572 + 0.0384700i 0.329889 0.944020i \(-0.392989\pi\)
−0.186317 + 0.982490i \(0.559655\pi\)
\(278\) 250.737 67.1847i 0.901930 0.241671i
\(279\) −353.652 + 257.208i −1.26757 + 0.921893i
\(280\) −55.6421 81.8777i −0.198722 0.292420i
\(281\) 361.849i 1.28772i 0.765143 + 0.643860i \(0.222668\pi\)
−0.765143 + 0.643860i \(0.777332\pi\)
\(282\) 162.555 + 250.178i 0.576436 + 0.887158i
\(283\) −492.711 132.022i −1.74103 0.466507i −0.758354 0.651843i \(-0.773996\pi\)
−0.982675 + 0.185336i \(0.940663\pi\)
\(284\) −42.3831 73.4097i −0.149236 0.258485i
\(285\) −307.171 383.464i −1.07779 1.34549i
\(286\) 93.2224i 0.325952i
\(287\) −310.769 + 74.7059i −1.08282 + 0.260299i
\(288\) −7.93969 + 50.2888i −0.0275684 + 0.174614i
\(289\) −173.542 100.194i −0.600490 0.346693i
\(290\) 55.1611 336.194i 0.190211 1.15929i
\(291\) −229.647 206.674i −0.789167 0.710219i
\(292\) −237.563 + 63.6547i −0.813571 + 0.217996i
\(293\) −122.654 122.654i −0.418614 0.418614i 0.466112 0.884726i \(-0.345655\pi\)
−0.884726 + 0.466112i \(0.845655\pi\)
\(294\) 146.877 147.123i 0.499583 0.500417i
\(295\) 17.9388 + 180.290i 0.0608094 + 0.611154i
\(296\) −38.0647 21.9766i −0.128597 0.0742454i
\(297\) −185.598 + 150.521i −0.624910 + 0.506804i
\(298\) 7.02267 26.2089i 0.0235660 0.0879495i
\(299\) −80.5276 46.4926i −0.269323 0.155494i
\(300\) 144.459 + 40.3924i 0.481531 + 0.134641i
\(301\) 144.052 + 88.2171i 0.478580 + 0.293080i
\(302\) 38.9231 + 38.9231i 0.128885 + 0.128885i
\(303\) 44.3653 + 68.2799i 0.146420 + 0.225346i
\(304\) 65.5098 + 113.466i 0.215493 + 0.373245i
\(305\) 194.650 139.778i 0.638197 0.458290i
\(306\) 119.150 12.5822i 0.389379 0.0411184i
\(307\) 280.523 + 280.523i 0.913755 + 0.913755i 0.996565 0.0828102i \(-0.0263895\pi\)
−0.0828102 + 0.996565i \(0.526390\pi\)
\(308\) −35.1564 + 118.815i −0.114144 + 0.385761i
\(309\) −22.7378 69.9213i −0.0735850 0.226282i
\(310\) −121.343 321.428i −0.391431 1.03687i
\(311\) 238.362 + 412.854i 0.766436 + 1.32751i 0.939484 + 0.342593i \(0.111305\pi\)
−0.173048 + 0.984913i \(0.555362\pi\)
\(312\) 3.32301 + 63.1108i 0.0106507 + 0.202278i
\(313\) 23.7295 + 88.5595i 0.0758130 + 0.282938i 0.993416 0.114559i \(-0.0365456\pi\)
−0.917603 + 0.397497i \(0.869879\pi\)
\(314\) 312.481i 0.995163i
\(315\) −26.2097 + 313.908i −0.0832053 + 0.996532i
\(316\) 124.012 0.392444
\(317\) 404.762 108.456i 1.27685 0.342131i 0.444199 0.895928i \(-0.353488\pi\)
0.832652 + 0.553797i \(0.186822\pi\)
\(318\) 103.487 5.44899i 0.325432 0.0171352i
\(319\) −369.292 + 213.211i −1.15766 + 0.668373i
\(320\) −36.4510 16.4719i −0.113909 0.0514747i
\(321\) −6.11945 + 1.98999i −0.0190637 + 0.00619934i
\(322\) 85.1012 + 89.6250i 0.264289 + 0.278339i
\(323\) 218.025 218.025i 0.674999 0.674999i
\(324\) 120.283 108.517i 0.371244 0.334930i
\(325\) 185.825 + 11.8071i 0.571768 + 0.0363296i
\(326\) −157.664 + 91.0275i −0.483632 + 0.279225i
\(327\) 240.838 156.486i 0.736508 0.478551i
\(328\) −91.3206 + 91.3206i −0.278416 + 0.278416i
\(329\) −235.011 432.532i −0.714319 1.31469i
\(330\) −75.4532 171.918i −0.228646 0.520963i
\(331\) 123.440 213.804i 0.372930 0.645933i −0.617085 0.786896i \(-0.711687\pi\)
0.990015 + 0.140963i \(0.0450199\pi\)
\(332\) −311.172 83.3782i −0.937264 0.251139i
\(333\) 50.1848 + 130.545i 0.150705 + 0.392026i
\(334\) −10.7074 + 18.5458i −0.0320581 + 0.0555263i
\(335\) 67.7395 82.7090i 0.202207 0.246893i
\(336\) 19.5653 81.6896i 0.0582301 0.243124i
\(337\) −278.585 + 278.585i −0.826661 + 0.826661i −0.987053 0.160392i \(-0.948724\pi\)
0.160392 + 0.987053i \(0.448724\pi\)
\(338\) −41.5540 155.082i −0.122941 0.458821i
\(339\) −108.577 + 120.646i −0.320286 + 0.355889i
\(340\) −15.2412 + 92.8915i −0.0448271 + 0.273210i
\(341\) −215.014 + 372.415i −0.630540 + 1.09213i
\(342\) 65.0159 411.801i 0.190105 1.20410i
\(343\) −260.622 + 222.991i −0.759831 + 0.650120i
\(344\) 68.2533 0.198411
\(345\) −186.137 20.5621i −0.539528 0.0596003i
\(346\) −155.681 + 89.8827i −0.449946 + 0.259777i
\(347\) 162.413 606.133i 0.468049 1.74678i −0.178529 0.983935i \(-0.557134\pi\)
0.646578 0.762848i \(-0.276199\pi\)
\(348\) 242.408 157.506i 0.696574 0.452603i
\(349\) 526.765 1.50936 0.754678 0.656095i \(-0.227793\pi\)
0.754678 + 0.656095i \(0.227793\pi\)
\(350\) −232.386 85.1274i −0.663960 0.243221i
\(351\) 118.081 162.777i 0.336414 0.463751i
\(352\) 12.9580 + 48.3599i 0.0368125 + 0.137386i
\(353\) −11.9979 + 44.7768i −0.0339884 + 0.126846i −0.980836 0.194837i \(-0.937582\pi\)
0.946847 + 0.321684i \(0.104249\pi\)
\(354\) −102.842 + 114.274i −0.290514 + 0.322808i
\(355\) −193.113 87.2664i −0.543982 0.245821i
\(356\) −242.212 −0.680369
\(357\) −197.610 + 5.28136i −0.553529 + 0.0147937i
\(358\) 263.498 + 263.498i 0.736028 + 0.736028i
\(359\) −319.570 + 553.512i −0.890168 + 1.54182i −0.0504954 + 0.998724i \(0.516080\pi\)
−0.839673 + 0.543092i \(0.817253\pi\)
\(360\) 57.2094 + 113.697i 0.158915 + 0.315826i
\(361\) −355.942 616.510i −0.985990 1.70778i
\(362\) −43.8328 163.586i −0.121085 0.451896i
\(363\) 58.0861 114.070i 0.160017 0.314241i
\(364\) 2.69880 104.237i 0.00741427 0.286365i
\(365\) −389.587 + 475.680i −1.06736 + 1.30323i
\(366\) 198.907 + 42.2280i 0.543461 + 0.115377i
\(367\) −95.3454 + 355.834i −0.259797 + 0.969575i 0.705562 + 0.708648i \(0.250695\pi\)
−0.965359 + 0.260926i \(0.915972\pi\)
\(368\) 48.2369 + 12.9250i 0.131079 + 0.0351224i
\(369\) 408.670 43.1556i 1.10751 0.116953i
\(370\) −109.343 + 10.8796i −0.295522 + 0.0294043i
\(371\) −170.925 4.42542i −0.460714 0.0119284i
\(372\) 132.288 259.787i 0.355612 0.698351i
\(373\) −285.521 + 76.5051i −0.765472 + 0.205108i −0.620370 0.784309i \(-0.713018\pi\)
−0.145102 + 0.989417i \(0.546351\pi\)
\(374\) 102.037 58.9110i 0.272826 0.157516i
\(375\) 352.249 128.630i 0.939330 0.343014i
\(376\) −172.253 99.4504i −0.458120 0.264496i
\(377\) 253.744 253.744i 0.673062 0.673062i
\(378\) −211.885 + 162.932i −0.560542 + 0.431037i
\(379\) 545.688i 1.43981i 0.694073 + 0.719905i \(0.255815\pi\)
−0.694073 + 0.719905i \(0.744185\pi\)
\(380\) 298.487 + 134.884i 0.785493 + 0.354958i
\(381\) −10.4826 + 11.6479i −0.0275134 + 0.0305718i
\(382\) 104.272 + 27.9395i 0.272963 + 0.0731401i
\(383\) 475.888 127.514i 1.24253 0.332934i 0.423082 0.906091i \(-0.360948\pi\)
0.819445 + 0.573157i \(0.194282\pi\)
\(384\) −10.4963 32.2774i −0.0273341 0.0840556i
\(385\) 101.867 + 292.538i 0.264590 + 0.759839i
\(386\) 318.727i 0.825718i
\(387\) −168.848 136.593i −0.436300 0.352955i
\(388\) 198.950 + 53.3086i 0.512759 + 0.137393i
\(389\) 156.619 + 271.272i 0.402620 + 0.697358i 0.994041 0.109005i \(-0.0347664\pi\)
−0.591422 + 0.806363i \(0.701433\pi\)
\(390\) 98.7774 + 123.311i 0.253275 + 0.316182i
\(391\) 117.522i 0.300568i
\(392\) −42.7499 + 131.835i −0.109056 + 0.336314i
\(393\) 15.9881 31.3974i 0.0406821 0.0798916i
\(394\) 123.032 + 71.0326i 0.312264 + 0.180286i
\(395\) 251.827 180.838i 0.637537 0.457816i
\(396\) 64.7253 145.567i 0.163448 0.367594i
\(397\) −119.378 + 31.9871i −0.300699 + 0.0805721i −0.406014 0.913867i \(-0.633082\pi\)
0.105315 + 0.994439i \(0.466415\pi\)
\(398\) 137.601 + 137.601i 0.345732 + 0.345732i
\(399\) −160.215 + 668.934i −0.401541 + 1.67653i
\(400\) −98.0394 + 19.7048i −0.245098 + 0.0492619i
\(401\) −252.981 146.059i −0.630876 0.364237i 0.150215 0.988653i \(-0.452003\pi\)
−0.781091 + 0.624417i \(0.785337\pi\)
\(402\) 90.5893 4.76986i 0.225347 0.0118653i
\(403\) 93.6623 349.553i 0.232413 0.867376i
\(404\) −47.0121 27.1425i −0.116367 0.0671843i
\(405\) 86.0123 395.761i 0.212376 0.977188i
\(406\) −419.097 + 227.711i −1.03226 + 0.560865i
\(407\) 97.2519 + 97.2519i 0.238948 + 0.238948i
\(408\) −66.9781 + 43.5194i −0.164162 + 0.106665i
\(409\) 177.930 + 308.183i 0.435036 + 0.753504i 0.997299 0.0734545i \(-0.0234024\pi\)
−0.562263 + 0.826959i \(0.690069\pi\)
\(410\) −52.2756 + 318.607i −0.127501 + 0.777090i
\(411\) −96.8558 + 456.221i −0.235659 + 1.11003i
\(412\) 34.6602 + 34.6602i 0.0841268 + 0.0841268i
\(413\) 183.942 174.657i 0.445380 0.422899i
\(414\) −93.4641 128.510i −0.225759 0.310410i
\(415\) −753.469 + 284.444i −1.81559 + 0.685408i
\(416\) −21.0661 36.4875i −0.0506396 0.0877103i
\(417\) 549.894 28.9539i 1.31869 0.0694338i
\(418\) −106.110 396.006i −0.253851 0.947383i
\(419\) 642.877i 1.53431i −0.641460 0.767157i \(-0.721671\pi\)
0.641460 0.767157i \(-0.278329\pi\)
\(420\) −79.3911 194.415i −0.189026 0.462892i
\(421\) −350.397 −0.832296 −0.416148 0.909297i \(-0.636620\pi\)
−0.416148 + 0.909297i \(0.636620\pi\)
\(422\) 12.5207 3.35492i 0.0296700 0.00795005i
\(423\) 227.100 + 590.750i 0.536880 + 1.39657i
\(424\) −59.8313 + 34.5436i −0.141112 + 0.0814708i
\(425\) 104.507 + 210.856i 0.245898 + 0.496133i
\(426\) −55.6082 171.002i −0.130536 0.401413i
\(427\) −321.706 95.1906i −0.753410 0.222929i
\(428\) 3.03343 3.03343i 0.00708746 0.00708746i
\(429\) 41.0680 193.443i 0.0957297 0.450916i
\(430\) 138.599 99.5284i 0.322324 0.231461i
\(431\) −428.870 + 247.608i −0.995059 + 0.574497i −0.906783 0.421599i \(-0.861469\pi\)
−0.0882761 + 0.996096i \(0.528136\pi\)
\(432\) −38.6296 + 100.855i −0.0894203 + 0.233461i
\(433\) −215.228 + 215.228i −0.497063 + 0.497063i −0.910522 0.413460i \(-0.864320\pi\)
0.413460 + 0.910522i \(0.364320\pi\)
\(434\) −251.200 + 410.192i −0.578802 + 0.945144i
\(435\) 262.570 673.325i 0.603608 1.54787i
\(436\) −95.7375 + 165.822i −0.219581 + 0.380326i
\(437\) −394.999 105.840i −0.903888 0.242196i
\(438\) −521.002 + 27.4326i −1.18950 + 0.0626316i
\(439\) 105.622 182.943i 0.240598 0.416728i −0.720287 0.693676i \(-0.755990\pi\)
0.960885 + 0.276949i \(0.0893232\pi\)
\(440\) 96.8328 + 79.3070i 0.220074 + 0.180243i
\(441\) 369.594 240.585i 0.838082 0.545544i
\(442\) −70.1105 + 70.1105i −0.158621 + 0.158621i
\(443\) −152.850 570.445i −0.345034 1.28769i −0.892572 0.450905i \(-0.851101\pi\)
0.547538 0.836781i \(-0.315565\pi\)
\(444\) −69.3054 62.3721i −0.156093 0.140478i
\(445\) −491.850 + 353.198i −1.10528 + 0.793704i
\(446\) −107.480 + 186.161i −0.240987 + 0.417402i
\(447\) 26.1186 51.2917i 0.0584309 0.114747i
\(448\) 13.0890 + 54.4489i 0.0292165 + 0.121538i
\(449\) −253.156 −0.563821 −0.281911 0.959441i \(-0.590968\pi\)
−0.281911 + 0.959441i \(0.590968\pi\)
\(450\) 281.969 + 147.457i 0.626597 + 0.327682i
\(451\) 349.974 202.058i 0.775996 0.448021i
\(452\) 28.0059 104.520i 0.0619600 0.231238i
\(453\) 63.6212 + 97.9155i 0.140444 + 0.216149i
\(454\) 321.808 0.708829
\(455\) −146.520 215.605i −0.322022 0.473857i
\(456\) 85.9513 + 264.311i 0.188490 + 0.579628i
\(457\) −54.5974 203.760i −0.119469 0.445865i 0.880113 0.474764i \(-0.157467\pi\)
−0.999582 + 0.0288990i \(0.990800\pi\)
\(458\) −135.571 + 505.960i −0.296008 + 1.10472i
\(459\) 252.788 + 26.3811i 0.550736 + 0.0574752i
\(460\) 116.800 44.0937i 0.253914 0.0958559i
\(461\) −515.538 −1.11830 −0.559152 0.829065i \(-0.688873\pi\)
−0.559152 + 0.829065i \(0.688873\pi\)
\(462\) −125.294 + 231.061i −0.271200 + 0.500132i
\(463\) 191.269 + 191.269i 0.413108 + 0.413108i 0.882820 0.469712i \(-0.155642\pi\)
−0.469712 + 0.882820i \(0.655642\pi\)
\(464\) −96.3613 + 166.903i −0.207675 + 0.359704i
\(465\) −110.195 720.444i −0.236978 1.54934i
\(466\) −187.884 325.425i −0.403184 0.698336i
\(467\) −42.8783 160.024i −0.0918166 0.342664i 0.904701 0.426047i \(-0.140094\pi\)
−0.996518 + 0.0833830i \(0.973428\pi\)
\(468\) −20.9072 + 132.423i −0.0446736 + 0.282956i
\(469\) −149.622 3.87386i −0.319023 0.00825982i
\(470\) −494.809 + 49.2331i −1.05278 + 0.104751i
\(471\) −137.660 + 648.421i −0.292272 + 1.37669i
\(472\) 26.5267 98.9990i 0.0562006 0.209744i
\(473\) −206.295 55.2766i −0.436142 0.116864i
\(474\) 257.335 + 54.6322i 0.542900 + 0.115258i
\(475\) 802.818 161.357i 1.69014 0.339699i
\(476\) 115.798 62.9174i 0.243273 0.132179i
\(477\) 217.144 + 34.2832i 0.455230 + 0.0718725i
\(478\) −290.111 + 77.7351i −0.606928 + 0.162626i
\(479\) 396.050 228.660i 0.826827 0.477369i −0.0259377 0.999664i \(-0.508257\pi\)
0.852765 + 0.522294i \(0.174924\pi\)
\(480\) −68.3820 50.2385i −0.142462 0.104663i
\(481\) −100.234 57.8702i −0.208387 0.120312i
\(482\) 32.2626 32.2626i 0.0669350 0.0669350i
\(483\) 137.108 + 223.469i 0.283867 + 0.462668i
\(484\) 85.3382i 0.176319i
\(485\) 481.737 181.862i 0.993272 0.374973i
\(486\) 297.402 172.192i 0.611939 0.354304i
\(487\) 85.5199 + 22.9150i 0.175606 + 0.0470534i 0.345550 0.938400i \(-0.387692\pi\)
−0.169945 + 0.985454i \(0.554359\pi\)
\(488\) −130.941 + 35.0855i −0.268322 + 0.0718965i
\(489\) −367.266 + 119.431i −0.751055 + 0.244236i
\(490\) 105.434 + 330.051i 0.215171 + 0.673573i
\(491\) 807.024i 1.64363i −0.569751 0.821817i \(-0.692960\pi\)
0.569751 0.821817i \(-0.307040\pi\)
\(492\) −229.727 + 149.267i −0.466925 + 0.303387i
\(493\) 438.088 + 117.385i 0.888616 + 0.238104i
\(494\) 172.504 + 298.786i 0.349199 + 0.604830i
\(495\) −80.8344 389.982i −0.163302 0.787842i
\(496\) 194.353i 0.391840i
\(497\) 69.3440 + 288.464i 0.139525 + 0.580411i
\(498\) −608.972 310.099i −1.22284 0.622689i
\(499\) −542.063 312.960i −1.08630 0.627175i −0.153710 0.988116i \(-0.549122\pi\)
−0.932588 + 0.360942i \(0.882455\pi\)
\(500\) −170.351 + 182.977i −0.340702 + 0.365954i
\(501\) −30.3888 + 33.7668i −0.0606563 + 0.0673988i
\(502\) 68.6847 18.4040i 0.136822 0.0366614i
\(503\) 171.104 + 171.104i 0.340167 + 0.340167i 0.856430 0.516263i \(-0.172677\pi\)
−0.516263 + 0.856430i \(0.672677\pi\)
\(504\) 76.5869 160.893i 0.151958 0.319231i
\(505\) −135.045 + 13.4369i −0.267417 + 0.0266078i
\(506\) −135.328 78.1317i −0.267447 0.154410i
\(507\) −17.9081 340.112i −0.0353217 0.670832i
\(508\) 2.70384 10.0909i 0.00532253 0.0198639i
\(509\) 642.599 + 371.005i 1.26247 + 0.728890i 0.973553 0.228463i \(-0.0733700\pi\)
0.288921 + 0.957353i \(0.406703\pi\)
\(510\) −72.5489 + 186.042i −0.142253 + 0.364789i
\(511\) 860.512 + 22.2795i 1.68398 + 0.0435998i
\(512\) 16.0000 + 16.0000i 0.0312500 + 0.0312500i
\(513\) 316.327 825.875i 0.616622 1.60989i
\(514\) −103.172 178.699i −0.200723 0.347663i
\(515\) 120.926 + 19.8409i 0.234807 + 0.0385261i
\(516\) 141.631 + 30.0682i 0.274478 + 0.0582717i
\(517\) 440.092 + 440.092i 0.851241 + 0.851241i
\(518\) 105.927 + 111.558i 0.204492 + 0.215363i
\(519\) −362.647 + 117.929i −0.698742 + 0.227224i
\(520\) −95.9849 43.3748i −0.184586 0.0834131i
\(521\) 502.617 + 870.558i 0.964716 + 1.67094i 0.710377 + 0.703821i \(0.248524\pi\)
0.254338 + 0.967115i \(0.418142\pi\)
\(522\) 572.401 220.046i 1.09655 0.421544i
\(523\) −198.660 741.410i −0.379848 1.41761i −0.846131 0.532975i \(-0.821074\pi\)
0.466283 0.884635i \(-0.345593\pi\)
\(524\) 23.4891i 0.0448266i
\(525\) −444.716 279.021i −0.847078 0.531468i
\(526\) −250.826 −0.476856
\(527\) 441.793 118.378i 0.838316 0.224626i
\(528\) 5.58438 + 106.059i 0.0105765 + 0.200869i
\(529\) 323.144 186.567i 0.610857 0.352679i
\(530\) −71.1249 + 157.394i −0.134198 + 0.296969i
\(531\) −263.747 + 191.821i −0.496698 + 0.361245i
\(532\) −107.182 445.867i −0.201470 0.838096i
\(533\) −240.471 + 240.471i −0.451164 + 0.451164i
\(534\) −502.606 106.704i −0.941211 0.199819i
\(535\) 1.73646 10.5833i 0.00324572 0.0197819i
\(536\) −52.3742 + 30.2383i −0.0977131 + 0.0564147i
\(537\) 430.696 + 662.858i 0.802042 + 1.23437i
\(538\) 113.171 113.171i 0.210354 0.210354i
\(539\) 235.981 363.848i 0.437813 0.675043i
\(540\) 68.6255 + 261.133i 0.127084 + 0.483580i
\(541\) −122.649 + 212.434i −0.226708 + 0.392669i −0.956830 0.290647i \(-0.906130\pi\)
0.730123 + 0.683316i \(0.239463\pi\)
\(542\) −2.06801 0.554123i −0.00381552 0.00102237i
\(543\) −18.8902 358.763i −0.0347886 0.660706i
\(544\) 26.6250 46.1158i 0.0489430 0.0847718i
\(545\) 47.3950 + 476.335i 0.0869634 + 0.874010i
\(546\) 51.5205 215.110i 0.0943599 0.393974i
\(547\) −163.143 + 163.143i −0.298250 + 0.298250i −0.840328 0.542078i \(-0.817638\pi\)
0.542078 + 0.840328i \(0.317638\pi\)
\(548\) −80.4735 300.331i −0.146849 0.548050i
\(549\) 394.143 + 175.252i 0.717929 + 0.319221i
\(550\) 312.282 + 19.8421i 0.567785 + 0.0360765i
\(551\) 789.077 1366.72i 1.43208 2.48044i
\(552\) 94.4011 + 48.0706i 0.171016 + 0.0870844i
\(553\) −416.206 123.152i −0.752632 0.222699i
\(554\) −58.2264 −0.105102
\(555\) −231.688 25.5940i −0.417456 0.0461153i
\(556\) −317.921 + 183.552i −0.571801 + 0.330129i
\(557\) −108.749 + 405.857i −0.195241 + 0.728649i 0.796963 + 0.604027i \(0.206438\pi\)
−0.992204 + 0.124621i \(0.960228\pi\)
\(558\) 388.952 480.798i 0.697047 0.861645i
\(559\) 179.729 0.321518
\(560\) 105.978 + 91.4806i 0.189246 + 0.163358i
\(561\) 237.686 77.2934i 0.423683 0.137778i
\(562\) −132.446 494.296i −0.235669 0.879529i
\(563\) 12.5901 46.9869i 0.0223625 0.0834581i −0.953843 0.300306i \(-0.902911\pi\)
0.976205 + 0.216848i \(0.0695777\pi\)
\(564\) −313.626 282.251i −0.556074 0.500445i
\(565\) −95.5421 253.083i −0.169101 0.447934i
\(566\) 721.379 1.27452
\(567\) −511.454 + 244.752i −0.902035 + 0.431662i
\(568\) 84.7662 + 84.7662i 0.149236 + 0.149236i
\(569\) 174.644 302.493i 0.306932 0.531621i −0.670758 0.741676i \(-0.734031\pi\)
0.977690 + 0.210055i \(0.0673643\pi\)
\(570\) 559.962 + 411.389i 0.982389 + 0.721736i
\(571\) 412.798 + 714.987i 0.722939 + 1.25217i 0.959817 + 0.280627i \(0.0905425\pi\)
−0.236878 + 0.971539i \(0.576124\pi\)
\(572\) 34.1217 + 127.344i 0.0596534 + 0.222630i
\(573\) 204.063 + 103.912i 0.356131 + 0.181348i
\(574\) 397.174 215.799i 0.691940 0.375957i
\(575\) 172.884 259.860i 0.300667 0.451931i
\(576\) −7.56116 71.6019i −0.0131270 0.124309i
\(577\) 83.4080 311.283i 0.144555 0.539485i −0.855220 0.518265i \(-0.826578\pi\)
0.999775 0.0212204i \(-0.00675517\pi\)
\(578\) 273.736 + 73.3474i 0.473592 + 0.126899i
\(579\) 140.412 661.382i 0.242507 1.14228i
\(580\) 47.7039 + 479.439i 0.0822481 + 0.826619i
\(581\) 961.543 + 588.844i 1.65498 + 1.01350i
\(582\) 389.352 + 198.265i 0.668990 + 0.340661i
\(583\) 208.816 55.9520i 0.358174 0.0959725i
\(584\) 301.217 173.908i 0.515783 0.297787i
\(585\) 150.647 + 299.394i 0.257516 + 0.511785i
\(586\) 212.443 + 122.654i 0.362531 + 0.209307i
\(587\) 175.759 175.759i 0.299419 0.299419i −0.541367 0.840786i \(-0.682093\pi\)
0.840786 + 0.541367i \(0.182093\pi\)
\(588\) −146.787 + 254.734i −0.249639 + 0.433221i
\(589\) 1591.50i 2.70204i
\(590\) −90.4957 239.715i −0.153383 0.406297i
\(591\) 224.008 + 201.598i 0.379032 + 0.341114i
\(592\) 60.0413 + 16.0880i 0.101421 + 0.0271757i
\(593\) −449.905 + 120.552i −0.758693 + 0.203291i −0.617371 0.786672i \(-0.711802\pi\)
−0.141322 + 0.989964i \(0.545135\pi\)
\(594\) 198.438 273.549i 0.334070 0.460520i
\(595\) 143.399 296.623i 0.241007 0.498527i
\(596\) 38.3726i 0.0643835i
\(597\) 224.914 + 346.151i 0.376740 + 0.579817i
\(598\) 127.020 + 34.0350i 0.212408 + 0.0569147i
\(599\) −89.3224 154.711i −0.149119 0.258282i 0.781783 0.623551i \(-0.214310\pi\)
−0.930902 + 0.365269i \(0.880977\pi\)
\(600\) −212.120 2.30129i −0.353533 0.00383548i
\(601\) 641.037i 1.06662i −0.845921 0.533309i \(-0.820948\pi\)
0.845921 0.533309i \(-0.179052\pi\)
\(602\) −229.069 67.7799i −0.380513 0.112591i
\(603\) 190.081 + 30.0103i 0.315225 + 0.0497683i
\(604\) −67.4169 38.9231i −0.111617 0.0644423i
\(605\) 124.442 + 173.293i 0.205689 + 0.286435i
\(606\) −85.5962 77.0332i −0.141248 0.127118i
\(607\) −632.907 + 169.587i −1.04268 + 0.279385i −0.739224 0.673460i \(-0.764807\pi\)
−0.303457 + 0.952845i \(0.598141\pi\)
\(608\) −131.020 131.020i −0.215493 0.215493i
\(609\) −969.973 + 287.889i −1.59273 + 0.472724i
\(610\) −214.734 + 262.188i −0.352023 + 0.429816i
\(611\) −453.587 261.879i −0.742368 0.428606i
\(612\) −158.156 + 60.7996i −0.258426 + 0.0993457i
\(613\) −177.898 + 663.923i −0.290208 + 1.08307i 0.654741 + 0.755853i \(0.272778\pi\)
−0.944949 + 0.327218i \(0.893889\pi\)
\(614\) −485.880 280.523i −0.791335 0.456878i
\(615\) −248.834 + 638.103i −0.404609 + 1.03757i
\(616\) 4.53537 175.172i 0.00736262 0.284370i
\(617\) 45.9474 + 45.9474i 0.0744690 + 0.0744690i 0.743360 0.668891i \(-0.233231\pi\)
−0.668891 + 0.743360i \(0.733231\pi\)
\(618\) 56.6533 + 87.1916i 0.0916720 + 0.141087i
\(619\) 489.622 + 848.050i 0.790989 + 1.37003i 0.925355 + 0.379101i \(0.123767\pi\)
−0.134366 + 0.990932i \(0.542900\pi\)
\(620\) 283.409 + 394.664i 0.457112 + 0.636556i
\(621\) −137.331 307.841i −0.221145 0.495719i
\(622\) −476.723 476.723i −0.766436 0.766436i
\(623\) 812.901 + 240.532i 1.30482 + 0.386086i
\(624\) −27.6395 84.9946i −0.0442940 0.136209i
\(625\) −79.1043 + 619.974i −0.126567 + 0.991958i
\(626\) −64.8301 112.289i −0.103562 0.179375i
\(627\) −45.7290 868.487i −0.0729330 1.38515i
\(628\) −114.376 426.857i −0.182127 0.679709i
\(629\) 146.282i 0.232563i
\(630\) −79.0951 438.399i −0.125548 0.695872i
\(631\) −246.070 −0.389968 −0.194984 0.980806i \(-0.562466\pi\)
−0.194984 + 0.980806i \(0.562466\pi\)
\(632\) −169.404 + 45.3917i −0.268044 + 0.0718223i
\(633\) 27.4594 1.44584i 0.0433798 0.00228410i
\(634\) −513.217 + 296.306i −0.809491 + 0.467360i
\(635\) −9.22415 24.4340i −0.0145262 0.0384787i
\(636\) −139.372 + 45.3225i −0.219138 + 0.0712618i
\(637\) −112.571 + 347.155i −0.176721 + 0.544985i
\(638\) 426.422 426.422i 0.668373 0.668373i
\(639\) −40.0582 379.339i −0.0626889 0.593645i
\(640\) 55.8221 + 9.15905i 0.0872221 + 0.0143110i
\(641\) −522.908 + 301.901i −0.815769 + 0.470984i −0.848955 0.528465i \(-0.822768\pi\)
0.0331865 + 0.999449i \(0.489434\pi\)
\(642\) 7.63094 4.95825i 0.0118862 0.00772313i
\(643\) 97.5075 97.5075i 0.151645 0.151645i −0.627208 0.778852i \(-0.715802\pi\)
0.778852 + 0.627208i \(0.215802\pi\)
\(644\) −149.055 91.2809i −0.231453 0.141740i
\(645\) 331.450 145.470i 0.513876 0.225535i
\(646\) −218.025 + 377.630i −0.337500 + 0.584567i
\(647\) −1197.90 320.976i −1.85147 0.496099i −0.851850 0.523786i \(-0.824519\pi\)
−0.999617 + 0.0276875i \(0.991186\pi\)
\(648\) −124.590 + 192.264i −0.192268 + 0.296704i
\(649\) −160.354 + 277.740i −0.247078 + 0.427951i
\(650\) −258.163 + 51.8878i −0.397174 + 0.0798273i
\(651\) −701.964 + 740.516i −1.07829 + 1.13750i
\(652\) 182.055 182.055i 0.279225 0.279225i
\(653\) 217.062 + 810.085i 0.332407 + 1.24056i 0.906653 + 0.421877i \(0.138629\pi\)
−0.574246 + 0.818683i \(0.694705\pi\)
\(654\) −271.713 + 301.917i −0.415464 + 0.461647i
\(655\) 34.2524 + 47.6985i 0.0522937 + 0.0728221i
\(656\) 91.3206 158.172i 0.139208 0.241116i
\(657\) −1093.20 172.597i −1.66393 0.262704i
\(658\) 479.349 + 504.830i 0.728493 + 0.767219i
\(659\) −1274.81 −1.93445 −0.967227 0.253913i \(-0.918282\pi\)
−0.967227 + 0.253913i \(0.918282\pi\)
\(660\) 165.997 + 207.226i 0.251511 + 0.313979i
\(661\) 396.873 229.135i 0.600413 0.346648i −0.168791 0.985652i \(-0.553986\pi\)
0.769204 + 0.639003i \(0.220653\pi\)
\(662\) −90.3642 + 337.244i −0.136502 + 0.509432i
\(663\) −176.371 + 114.598i −0.266019 + 0.172848i
\(664\) 455.587 0.686125
\(665\) −867.824 749.110i −1.30500 1.12648i
\(666\) −116.336 159.958i −0.174679 0.240178i
\(667\) −155.684 581.021i −0.233410 0.871097i
\(668\) 7.83837 29.2532i 0.0117341 0.0437922i
\(669\) −305.041 + 338.949i −0.455965 + 0.506651i
\(670\) −62.2603 + 137.777i −0.0929258 + 0.205637i
\(671\) 424.183 0.632165
\(672\) 3.17377 + 118.752i 0.00472288 + 0.176714i
\(673\) 823.229 + 823.229i 1.22322 + 1.22322i 0.966480 + 0.256744i \(0.0826496\pi\)
0.256744 + 0.966480i \(0.417350\pi\)
\(674\) 278.585 482.523i 0.413330 0.715909i
\(675\) 520.145 + 430.202i 0.770586 + 0.637336i
\(676\) 113.528 + 196.636i 0.167940 + 0.290881i
\(677\) 279.627 + 1043.58i 0.413039 + 1.54148i 0.788732 + 0.614737i \(0.210738\pi\)
−0.375693 + 0.926744i \(0.622595\pi\)
\(678\) 104.159 204.548i 0.153627 0.301693i
\(679\) −614.771 376.483i −0.905407 0.554467i
\(680\) −13.1808 132.471i −0.0193835 0.194810i
\(681\) 667.775 + 141.769i 0.980581 + 0.208178i
\(682\) 157.401 587.429i 0.230794 0.861334i
\(683\) −1286.90 344.824i −1.88419 0.504867i −0.999232 0.0391919i \(-0.987522\pi\)
−0.884956 0.465675i \(-0.845812\pi\)
\(684\) 61.9163 + 586.328i 0.0905209 + 0.857205i
\(685\) −601.364 492.523i −0.877904 0.719012i
\(686\) 274.396 400.006i 0.399994 0.583099i
\(687\) −504.215 + 990.178i −0.733938 + 1.44131i
\(688\) −93.2357 + 24.9824i −0.135517 + 0.0363117i
\(689\) −157.551 + 90.9622i −0.228667 + 0.132021i
\(690\) 261.794 40.0426i 0.379412 0.0580327i
\(691\) 859.716 + 496.357i 1.24416 + 0.718317i 0.969939 0.243349i \(-0.0782461\pi\)
0.274223 + 0.961666i \(0.411579\pi\)
\(692\) 179.765 179.765i 0.259777 0.259777i
\(693\) −361.786 + 424.271i −0.522058 + 0.612224i
\(694\) 887.441i 1.27873i
\(695\) −377.931 + 836.332i −0.543786 + 1.20335i
\(696\) −273.484 + 303.884i −0.392937 + 0.436615i
\(697\) −415.171 111.245i −0.595654 0.159605i
\(698\) −719.575 + 192.809i −1.03091 + 0.276231i
\(699\) −246.511 758.050i −0.352662 1.08448i
\(700\) 348.604 + 31.2270i 0.498006 + 0.0446100i
\(701\) 560.828i 0.800040i −0.916506 0.400020i \(-0.869003\pi\)
0.916506 0.400020i \(-0.130997\pi\)
\(702\) −101.722 + 265.578i −0.144903 + 0.378316i
\(703\) −491.662 131.740i −0.699377 0.187397i
\(704\) −35.4019 61.3179i −0.0502868 0.0870993i
\(705\) −1048.45 115.820i −1.48717 0.164284i
\(706\) 65.5578i 0.0928580i
\(707\) 130.826 + 137.781i 0.185044 + 0.194881i
\(708\) 98.6577 193.744i 0.139347 0.273650i
\(709\) 127.980 + 73.8894i 0.180508 + 0.104216i 0.587531 0.809201i \(-0.300100\pi\)
−0.407023 + 0.913418i \(0.633433\pi\)
\(710\) 295.740 + 48.5236i 0.416535 + 0.0683431i
\(711\) 509.920 + 226.732i 0.717188 + 0.318891i
\(712\) 330.867 88.6556i 0.464701 0.124516i
\(713\) −428.934 428.934i −0.601591 0.601591i
\(714\) 268.007 79.5447i 0.375360 0.111407i
\(715\) 254.986 + 208.836i 0.356623 + 0.292078i
\(716\) −456.392 263.498i −0.637419 0.368014i
\(717\) −636.248 + 33.5007i −0.887375 + 0.0467235i
\(718\) 233.942 873.083i 0.325824 1.21599i
\(719\) 45.0723 + 26.0225i 0.0626875 + 0.0361926i 0.531016 0.847362i \(-0.321810\pi\)
−0.468329 + 0.883554i \(0.655144\pi\)
\(720\) −119.766 134.373i −0.166341 0.186630i
\(721\) −81.9055 150.745i −0.113600 0.209078i
\(722\) 711.885 + 711.885i 0.985990 + 0.985990i
\(723\) 81.1603 52.7344i 0.112255 0.0729383i
\(724\) 119.753 + 207.419i 0.165405 + 0.286490i
\(725\) 795.999 + 904.016i 1.09793 + 1.24692i
\(726\) −37.5948 + 177.083i −0.0517834 + 0.243916i
\(727\) 315.391 + 315.391i 0.433826 + 0.433826i 0.889928 0.456102i \(-0.150755\pi\)
−0.456102 + 0.889928i \(0.650755\pi\)
\(728\) 34.4667 + 143.378i 0.0473443 + 0.196948i
\(729\) 692.988 226.293i 0.950601 0.310416i
\(730\) 358.074 792.390i 0.490513 1.08547i
\(731\) 113.578 + 196.722i 0.155373 + 0.269114i
\(732\) −287.168 + 15.1205i −0.392307 + 0.0206564i
\(733\) 60.1306 + 224.410i 0.0820335 + 0.306153i 0.994736 0.102472i \(-0.0326751\pi\)
−0.912702 + 0.408625i \(0.866008\pi\)
\(734\) 520.977i 0.709778i
\(735\) 73.3830 + 731.328i 0.0998408 + 0.995003i
\(736\) −70.6237 −0.0959561
\(737\) 182.790 48.9784i 0.248019 0.0664565i
\(738\) −542.458 + 208.535i −0.735038 + 0.282568i
\(739\) 248.595 143.526i 0.336393 0.194217i −0.322283 0.946643i \(-0.604450\pi\)
0.658676 + 0.752427i \(0.271117\pi\)
\(740\) 145.384 54.8842i 0.196464 0.0741678i
\(741\) 226.332 + 695.998i 0.305441 + 0.939268i
\(742\) 235.108 56.5176i 0.316856 0.0761693i
\(743\) 296.361 296.361i 0.398870 0.398870i −0.478964 0.877834i \(-0.658988\pi\)
0.877834 + 0.478964i \(0.158988\pi\)
\(744\) −85.6198 + 403.296i −0.115080 + 0.542064i
\(745\) 55.9557 + 77.9217i 0.0751083 + 0.104593i
\(746\) 362.026 209.016i 0.485290 0.280182i
\(747\) −1127.05 911.754i −1.50877 1.22055i
\(748\) −117.822 + 117.822i −0.157516 + 0.157516i
\(749\) −13.1931 + 7.16830i −0.0176143 + 0.00957050i
\(750\) −434.099 + 304.644i −0.578799 + 0.406192i
\(751\) 408.674 707.844i 0.544173 0.942535i −0.454486 0.890754i \(-0.650177\pi\)
0.998658 0.0517809i \(-0.0164897\pi\)
\(752\) 271.703 + 72.8027i 0.361308 + 0.0968121i
\(753\) 150.633 7.93139i 0.200044 0.0105331i
\(754\) −253.744 + 439.498i −0.336531 + 0.582889i
\(755\) −193.659 + 19.2690i −0.256503 + 0.0255218i
\(756\) 229.803 300.124i 0.303972 0.396990i
\(757\) −835.287 + 835.287i −1.10342 + 1.10342i −0.109422 + 0.993995i \(0.534900\pi\)
−0.993995 + 0.109422i \(0.965100\pi\)
\(758\) −199.736 745.423i −0.263503 0.983408i
\(759\) −246.395 221.746i −0.324632 0.292156i
\(760\) −457.112