Properties

Label 225.2.q.a.106.25
Level $225$
Weight $2$
Character 225.106
Analytic conductor $1.797$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 225 = 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 225.q (of order \(15\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.79663404548\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(28\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 106.25
Character \(\chi\) \(=\) 225.106
Dual form 225.2.q.a.121.25

$q$-expansion

\(f(q)\) \(=\) \(q+(2.10306 + 0.447019i) q^{2} +(1.01562 + 1.40304i) q^{3} +(2.39595 + 1.06675i) q^{4} +(-1.89032 - 1.19444i) q^{5} +(1.50873 + 3.40468i) q^{6} +(-0.107339 + 0.185917i) q^{7} +(1.08313 + 0.786937i) q^{8} +(-0.937030 + 2.84991i) q^{9} +O(q^{10})\) \(q+(2.10306 + 0.447019i) q^{2} +(1.01562 + 1.40304i) q^{3} +(2.39595 + 1.06675i) q^{4} +(-1.89032 - 1.19444i) q^{5} +(1.50873 + 3.40468i) q^{6} +(-0.107339 + 0.185917i) q^{7} +(1.08313 + 0.786937i) q^{8} +(-0.937030 + 2.84991i) q^{9} +(-3.44153 - 3.35699i) q^{10} +(0.814318 + 0.173089i) q^{11} +(0.936691 + 4.44502i) q^{12} +(5.35109 - 1.13741i) q^{13} +(-0.308850 + 0.343013i) q^{14} +(-0.244010 - 3.86529i) q^{15} +(-1.58374 - 1.75893i) q^{16} +(-4.59284 - 3.33690i) q^{17} +(-3.24460 + 5.57466i) q^{18} +(-3.93045 - 2.85564i) q^{19} +(-3.25496 - 4.87830i) q^{20} +(-0.369865 + 0.0382202i) q^{21} +(1.63519 + 0.728032i) q^{22} +(-0.383475 + 0.425892i) q^{23} +(-0.00405749 + 2.31890i) q^{24} +(2.14664 + 4.51574i) q^{25} +11.7621 q^{26} +(-4.95020 + 1.57974i) q^{27} +(-0.455506 + 0.330945i) q^{28} +(0.0969420 + 0.922342i) q^{29} +(1.21469 - 8.23802i) q^{30} +(-0.107879 + 1.02640i) q^{31} +(-3.88325 - 6.72599i) q^{32} +(0.584188 + 1.31831i) q^{33} +(-8.16737 - 9.07079i) q^{34} +(0.424973 - 0.223234i) q^{35} +(-5.28520 + 5.82866i) q^{36} +(-2.04164 + 6.28353i) q^{37} +(-6.98945 - 7.76257i) q^{38} +(7.03050 + 6.35260i) q^{39} +(-1.10751 - 2.78129i) q^{40} +(9.61614 - 2.04397i) q^{41} +(-0.794935 - 0.0849575i) q^{42} +(2.16590 - 3.75145i) q^{43} +(1.76642 + 1.28338i) q^{44} +(5.17533 - 4.26802i) q^{45} +(-0.996854 + 0.724257i) q^{46} +(0.270140 + 2.57021i) q^{47} +(0.859356 - 4.00845i) q^{48} +(3.47696 + 6.02227i) q^{49} +(2.49589 + 10.4565i) q^{50} +(0.0172052 - 9.83295i) q^{51} +(14.0343 + 2.98307i) q^{52} +(-7.56450 + 5.49593i) q^{53} +(-11.1167 + 1.10945i) q^{54} +(-1.33258 - 1.29984i) q^{55} +(-0.262568 + 0.116903i) q^{56} +(0.0147238 - 8.41481i) q^{57} +(-0.208430 + 1.98308i) q^{58} +(-9.56875 + 2.03390i) q^{59} +(3.53864 - 9.52133i) q^{60} +(14.7519 + 3.13562i) q^{61} +(-0.685694 + 2.11035i) q^{62} +(-0.429267 - 0.480118i) q^{63} +(-3.69727 - 11.3790i) q^{64} +(-11.4738 - 4.24147i) q^{65} +(0.639273 + 3.03363i) q^{66} +(-1.12882 + 10.7400i) q^{67} +(-7.44460 - 12.8944i) q^{68} +(-0.987009 - 0.105485i) q^{69} +(0.993534 - 0.279503i) q^{70} +(-2.48919 + 1.80850i) q^{71} +(-3.25762 + 2.34943i) q^{72} +(1.33451 + 4.10721i) q^{73} +(-7.10256 + 12.3020i) q^{74} +(-4.15559 + 7.59810i) q^{75} +(-6.37091 - 11.0347i) q^{76} +(-0.119589 + 0.132817i) q^{77} +(11.9458 + 16.5027i) q^{78} +(-0.869419 - 8.27197i) q^{79} +(0.892860 + 5.21662i) q^{80} +(-7.24395 - 5.34090i) q^{81} +21.1370 q^{82} +(-3.17237 + 1.41243i) q^{83} +(-0.926950 - 0.302978i) q^{84} +(4.69624 + 11.7937i) q^{85} +(6.23199 - 6.92132i) q^{86} +(-1.19562 + 1.07276i) q^{87} +(0.745799 + 0.828294i) q^{88} +(-2.45204 - 7.54659i) q^{89} +(12.7919 - 6.66244i) q^{90} +(-0.362919 + 1.11695i) q^{91} +(-1.37311 + 0.611346i) q^{92} +(-1.54964 + 0.891071i) q^{93} +(-0.580813 + 5.52607i) q^{94} +(4.01893 + 10.0927i) q^{95} +(5.49291 - 12.2794i) q^{96} +(-1.06331 - 10.1167i) q^{97} +(4.62018 + 14.2195i) q^{98} +(-1.25633 + 2.15854i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9} - 20 q^{10} - 11 q^{11} - 4 q^{12} - 3 q^{13} + q^{14} - 48 q^{15} + 23 q^{16} - 24 q^{17} - 12 q^{19} + q^{20} + 15 q^{21} - 11 q^{22} + q^{23} - 30 q^{24} - 16 q^{25} - 136 q^{26} + 7 q^{27} + 4 q^{28} - 15 q^{29} - 24 q^{30} + 3 q^{31} + 12 q^{32} - 5 q^{33} + q^{34} + 14 q^{35} + 38 q^{36} - 24 q^{37} + 55 q^{38} + 20 q^{39} + q^{40} - 19 q^{41} - 38 q^{42} - 8 q^{43} + 4 q^{44} - 38 q^{45} - 20 q^{46} - 10 q^{47} - 25 q^{48} - 72 q^{49} - 3 q^{50} - 26 q^{51} - 25 q^{52} - 12 q^{53} + 53 q^{54} - 20 q^{55} - 60 q^{56} + 38 q^{57} - 23 q^{58} - 30 q^{59} - 33 q^{60} - 3 q^{61} - 44 q^{62} + 46 q^{63} - 44 q^{64} + 51 q^{65} - 134 q^{66} - 12 q^{67} - 156 q^{68} + 4 q^{69} - 16 q^{70} + 42 q^{71} + 74 q^{72} - 12 q^{73} + 90 q^{74} + 67 q^{75} - 8 q^{76} + 31 q^{77} - 92 q^{78} - 15 q^{79} + 298 q^{80} - 104 q^{81} + 8 q^{82} + 59 q^{83} + 115 q^{84} - 11 q^{85} + 9 q^{86} - 59 q^{87} - 23 q^{88} + 106 q^{89} + 107 q^{90} + 30 q^{91} + 11 q^{92} + 32 q^{93} + 25 q^{94} + 7 q^{95} + 35 q^{96} - 21 q^{97} + 146 q^{98} - 20 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.10306 + 0.447019i 1.48709 + 0.316090i 0.878633 0.477497i \(-0.158456\pi\)
0.608456 + 0.793588i \(0.291789\pi\)
\(3\) 1.01562 + 1.40304i 0.586369 + 0.810044i
\(4\) 2.39595 + 1.06675i 1.19797 + 0.533373i
\(5\) −1.89032 1.19444i −0.845378 0.534169i
\(6\) 1.50873 + 3.40468i 0.615935 + 1.38995i
\(7\) −0.107339 + 0.185917i −0.0405705 + 0.0702702i −0.885598 0.464453i \(-0.846251\pi\)
0.845027 + 0.534723i \(0.179584\pi\)
\(8\) 1.08313 + 0.786937i 0.382943 + 0.278224i
\(9\) −0.937030 + 2.84991i −0.312343 + 0.949969i
\(10\) −3.44153 3.35699i −1.08831 1.06157i
\(11\) 0.814318 + 0.173089i 0.245526 + 0.0521882i 0.329031 0.944319i \(-0.393278\pi\)
−0.0835047 + 0.996507i \(0.526611\pi\)
\(12\) 0.936691 + 4.44502i 0.270399 + 1.28317i
\(13\) 5.35109 1.13741i 1.48413 0.315461i 0.606606 0.795002i \(-0.292530\pi\)
0.877519 + 0.479542i \(0.159197\pi\)
\(14\) −0.308850 + 0.343013i −0.0825437 + 0.0916740i
\(15\) −0.244010 3.86529i −0.0630031 0.998013i
\(16\) −1.58374 1.75893i −0.395936 0.439731i
\(17\) −4.59284 3.33690i −1.11393 0.809316i −0.130650 0.991429i \(-0.541706\pi\)
−0.983278 + 0.182113i \(0.941706\pi\)
\(18\) −3.24460 + 5.57466i −0.764759 + 1.31396i
\(19\) −3.93045 2.85564i −0.901706 0.655128i 0.0371973 0.999308i \(-0.488157\pi\)
−0.938904 + 0.344180i \(0.888157\pi\)
\(20\) −3.25496 4.87830i −0.727830 1.09082i
\(21\) −0.369865 + 0.0382202i −0.0807112 + 0.00834033i
\(22\) 1.63519 + 0.728032i 0.348623 + 0.155217i
\(23\) −0.383475 + 0.425892i −0.0799601 + 0.0888047i −0.781797 0.623533i \(-0.785697\pi\)
0.701837 + 0.712338i \(0.252363\pi\)
\(24\) −0.00405749 + 2.31890i −0.000828233 + 0.473343i
\(25\) 2.14664 + 4.51574i 0.429328 + 0.903149i
\(26\) 11.7621 2.30674
\(27\) −4.95020 + 1.57974i −0.952666 + 0.304020i
\(28\) −0.455506 + 0.330945i −0.0860826 + 0.0625427i
\(29\) 0.0969420 + 0.922342i 0.0180017 + 0.171275i 0.999829 0.0185029i \(-0.00589000\pi\)
−0.981827 + 0.189778i \(0.939223\pi\)
\(30\) 1.21469 8.23802i 0.221771 1.50405i
\(31\) −0.107879 + 1.02640i −0.0193756 + 0.184346i −0.999929 0.0119055i \(-0.996210\pi\)
0.980554 + 0.196252i \(0.0628769\pi\)
\(32\) −3.88325 6.72599i −0.686469 1.18900i
\(33\) 0.584188 + 1.31831i 0.101694 + 0.229489i
\(34\) −8.16737 9.07079i −1.40069 1.55563i
\(35\) 0.424973 0.223234i 0.0718335 0.0377334i
\(36\) −5.28520 + 5.82866i −0.880867 + 0.971444i
\(37\) −2.04164 + 6.28353i −0.335644 + 1.03301i 0.630760 + 0.775978i \(0.282743\pi\)
−0.966404 + 0.257028i \(0.917257\pi\)
\(38\) −6.98945 7.76257i −1.13384 1.25925i
\(39\) 7.03050 + 6.35260i 1.12578 + 1.01723i
\(40\) −1.10751 2.78129i −0.175113 0.439761i
\(41\) 9.61614 2.04397i 1.50179 0.319215i 0.617655 0.786449i \(-0.288083\pi\)
0.884134 + 0.467234i \(0.154749\pi\)
\(42\) −0.794935 0.0849575i −0.122661 0.0131092i
\(43\) 2.16590 3.75145i 0.330296 0.572090i −0.652273 0.757984i \(-0.726185\pi\)
0.982570 + 0.185894i \(0.0595180\pi\)
\(44\) 1.76642 + 1.28338i 0.266298 + 0.193477i
\(45\) 5.17533 4.26802i 0.771492 0.636239i
\(46\) −0.996854 + 0.724257i −0.146978 + 0.106786i
\(47\) 0.270140 + 2.57021i 0.0394040 + 0.374904i 0.996398 + 0.0847970i \(0.0270242\pi\)
−0.956994 + 0.290107i \(0.906309\pi\)
\(48\) 0.859356 4.00845i 0.124037 0.578570i
\(49\) 3.47696 + 6.02227i 0.496708 + 0.860324i
\(50\) 2.49589 + 10.4565i 0.352972 + 1.47877i
\(51\) 0.0172052 9.83295i 0.00240921 1.37689i
\(52\) 14.0343 + 2.98307i 1.94620 + 0.413678i
\(53\) −7.56450 + 5.49593i −1.03906 + 0.754924i −0.970103 0.242695i \(-0.921969\pi\)
−0.0689615 + 0.997619i \(0.521969\pi\)
\(54\) −11.1167 + 1.10945i −1.51280 + 0.150977i
\(55\) −1.33258 1.29984i −0.179685 0.175271i
\(56\) −0.262568 + 0.116903i −0.0350871 + 0.0156218i
\(57\) 0.0147238 8.41481i 0.00195022 1.11457i
\(58\) −0.208430 + 1.98308i −0.0273682 + 0.260391i
\(59\) −9.56875 + 2.03390i −1.24575 + 0.264791i −0.783181 0.621794i \(-0.786404\pi\)
−0.462565 + 0.886586i \(0.653071\pi\)
\(60\) 3.53864 9.52133i 0.456837 1.22920i
\(61\) 14.7519 + 3.13562i 1.88879 + 0.401475i 0.998541 0.0539923i \(-0.0171946\pi\)
0.890252 + 0.455468i \(0.150528\pi\)
\(62\) −0.685694 + 2.11035i −0.0870832 + 0.268015i
\(63\) −0.429267 0.480118i −0.0540826 0.0604892i
\(64\) −3.69727 11.3790i −0.462158 1.42238i
\(65\) −11.4738 4.24147i −1.42316 0.526090i
\(66\) 0.639273 + 3.03363i 0.0786890 + 0.373414i
\(67\) −1.12882 + 10.7400i −0.137907 + 1.31210i 0.678489 + 0.734611i \(0.262635\pi\)
−0.816397 + 0.577492i \(0.804032\pi\)
\(68\) −7.44460 12.8944i −0.902790 1.56368i
\(69\) −0.987009 0.105485i −0.118822 0.0126989i
\(70\) 0.993534 0.279503i 0.118750 0.0334070i
\(71\) −2.48919 + 1.80850i −0.295413 + 0.214630i −0.725612 0.688104i \(-0.758443\pi\)
0.430199 + 0.902734i \(0.358443\pi\)
\(72\) −3.25762 + 2.34943i −0.383914 + 0.276883i
\(73\) 1.33451 + 4.10721i 0.156193 + 0.480713i 0.998280 0.0586293i \(-0.0186730\pi\)
−0.842087 + 0.539342i \(0.818673\pi\)
\(74\) −7.10256 + 12.3020i −0.825656 + 1.43008i
\(75\) −4.15559 + 7.59810i −0.479846 + 0.877353i
\(76\) −6.37091 11.0347i −0.730794 1.26577i
\(77\) −0.119589 + 0.132817i −0.0136284 + 0.0151359i
\(78\) 11.9458 + 16.5027i 1.35260 + 1.86856i
\(79\) −0.869419 8.27197i −0.0978173 0.930669i −0.927850 0.372954i \(-0.878345\pi\)
0.830033 0.557715i \(-0.188322\pi\)
\(80\) 0.892860 + 5.21662i 0.0998248 + 0.583236i
\(81\) −7.24395 5.34090i −0.804883 0.593433i
\(82\) 21.1370 2.33419
\(83\) −3.17237 + 1.41243i −0.348213 + 0.155034i −0.573388 0.819284i \(-0.694371\pi\)
0.225175 + 0.974318i \(0.427705\pi\)
\(84\) −0.926950 0.302978i −0.101139 0.0330577i
\(85\) 4.69624 + 11.7937i 0.509379 + 1.27920i
\(86\) 6.23199 6.92132i 0.672012 0.746345i
\(87\) −1.19562 + 1.07276i −0.128184 + 0.115012i
\(88\) 0.745799 + 0.828294i 0.0795025 + 0.0882964i
\(89\) −2.45204 7.54659i −0.259915 0.799937i −0.992821 0.119607i \(-0.961837\pi\)
0.732906 0.680330i \(-0.238163\pi\)
\(90\) 12.7919 6.66244i 1.34839 0.702283i
\(91\) −0.362919 + 1.11695i −0.0380442 + 0.117088i
\(92\) −1.37311 + 0.611346i −0.143156 + 0.0637372i
\(93\) −1.54964 + 0.891071i −0.160690 + 0.0923998i
\(94\) −0.580813 + 5.52607i −0.0599063 + 0.569971i
\(95\) 4.01893 + 10.0927i 0.412334 + 1.03549i
\(96\) 5.49291 12.2794i 0.560618 1.25326i
\(97\) −1.06331 10.1167i −0.107962 1.02719i −0.905622 0.424085i \(-0.860596\pi\)
0.797660 0.603108i \(-0.206071\pi\)
\(98\) 4.62018 + 14.2195i 0.466709 + 1.43638i
\(99\) −1.25633 + 2.15854i −0.126266 + 0.216942i
\(100\) 0.326091 + 13.1094i 0.0326091 + 1.31094i
\(101\) 2.82063 4.88547i 0.280663 0.486123i −0.690885 0.722965i \(-0.742779\pi\)
0.971548 + 0.236842i \(0.0761123\pi\)
\(102\) 4.43170 20.6716i 0.438804 2.04679i
\(103\) 5.30676 + 2.36272i 0.522891 + 0.232806i 0.651170 0.758932i \(-0.274279\pi\)
−0.128279 + 0.991738i \(0.540945\pi\)
\(104\) 6.69098 + 2.97901i 0.656104 + 0.292116i
\(105\) 0.744816 + 0.369532i 0.0726866 + 0.0360627i
\(106\) −18.3654 + 8.17680i −1.78380 + 0.794201i
\(107\) −5.55653 −0.537170 −0.268585 0.963256i \(-0.586556\pi\)
−0.268585 + 0.963256i \(0.586556\pi\)
\(108\) −13.5456 1.49563i −1.30343 0.143917i
\(109\) 2.89880 8.92159i 0.277655 0.854534i −0.710850 0.703344i \(-0.751689\pi\)
0.988505 0.151190i \(-0.0483105\pi\)
\(110\) −2.22144 3.32934i −0.211806 0.317440i
\(111\) −10.8896 + 3.51718i −1.03359 + 0.333836i
\(112\) 0.497013 0.105643i 0.0469633 0.00998236i
\(113\) 7.04544 1.49755i 0.662779 0.140878i 0.135774 0.990740i \(-0.456648\pi\)
0.527006 + 0.849862i \(0.323315\pi\)
\(114\) 3.79255 17.6903i 0.355205 1.65685i
\(115\) 1.23359 0.347037i 0.115033 0.0323614i
\(116\) −0.751636 + 2.31330i −0.0697876 + 0.214784i
\(117\) −1.77262 + 16.3159i −0.163879 + 1.50841i
\(118\) −21.0329 −1.93623
\(119\) 1.11338 0.495709i 0.102063 0.0454415i
\(120\) 2.77745 4.37862i 0.253545 0.399711i
\(121\) −9.41585 4.19220i −0.855986 0.381110i
\(122\) 29.6226 + 13.1888i 2.68190 + 1.19406i
\(123\) 12.6341 + 11.4159i 1.13918 + 1.02934i
\(124\) −1.35337 + 2.34411i −0.121537 + 0.210508i
\(125\) 1.33593 11.1002i 0.119489 0.992835i
\(126\) −0.688153 1.20161i −0.0613056 0.107048i
\(127\) 4.49371 + 13.8302i 0.398753 + 1.22723i 0.926000 + 0.377523i \(0.123224\pi\)
−0.527248 + 0.849712i \(0.676776\pi\)
\(128\) −1.06529 10.1356i −0.0941595 0.895868i
\(129\) 7.46315 0.771208i 0.657094 0.0679011i
\(130\) −22.2342 14.0491i −1.95007 1.23219i
\(131\) 1.85447 17.6441i 0.162026 1.54157i −0.547447 0.836840i \(-0.684400\pi\)
0.709473 0.704733i \(-0.248933\pi\)
\(132\) −0.00661719 + 3.78179i −0.000575952 + 0.329162i
\(133\) 0.952805 0.424216i 0.0826186 0.0367842i
\(134\) −7.17498 + 22.0823i −0.619824 + 1.90762i
\(135\) 11.2444 + 2.92649i 0.967761 + 0.251872i
\(136\) −2.34870 7.22856i −0.201399 0.619844i
\(137\) 1.93506 + 2.14910i 0.165323 + 0.183610i 0.820114 0.572200i \(-0.193910\pi\)
−0.654791 + 0.755810i \(0.727243\pi\)
\(138\) −2.02859 0.663054i −0.172685 0.0564429i
\(139\) 14.3332 15.9187i 1.21573 1.35020i 0.297216 0.954810i \(-0.403942\pi\)
0.918512 0.395393i \(-0.129392\pi\)
\(140\) 1.25635 0.0815186i 0.106181 0.00688958i
\(141\) −3.33174 + 2.98938i −0.280583 + 0.251751i
\(142\) −6.04336 + 2.69068i −0.507148 + 0.225797i
\(143\) 4.55436 0.380855
\(144\) 6.49679 2.86536i 0.541399 0.238780i
\(145\) 0.918428 1.85931i 0.0762713 0.154408i
\(146\) 0.970561 + 9.23427i 0.0803242 + 0.764234i
\(147\) −4.91820 + 10.9946i −0.405646 + 0.906822i
\(148\) −11.5946 + 12.8771i −0.953071 + 1.05849i
\(149\) 2.89725 + 5.01818i 0.237352 + 0.411105i 0.959954 0.280159i \(-0.0903872\pi\)
−0.722602 + 0.691265i \(0.757054\pi\)
\(150\) −12.1360 + 14.1216i −0.990896 + 1.15303i
\(151\) −11.7176 + 20.2954i −0.953561 + 1.65162i −0.215934 + 0.976408i \(0.569280\pi\)
−0.737627 + 0.675209i \(0.764054\pi\)
\(152\) −2.00996 6.18603i −0.163030 0.501753i
\(153\) 13.8135 9.96241i 1.11675 0.805413i
\(154\) −0.310874 + 0.225863i −0.0250509 + 0.0182006i
\(155\) 1.42989 1.81137i 0.114852 0.145492i
\(156\) 10.0681 + 22.7203i 0.806095 + 1.81908i
\(157\) −6.02359 10.4332i −0.480735 0.832657i 0.519021 0.854762i \(-0.326297\pi\)
−0.999756 + 0.0221042i \(0.992963\pi\)
\(158\) 1.86929 17.7851i 0.148713 1.41491i
\(159\) −15.3937 5.03150i −1.22080 0.399024i
\(160\) −0.693174 + 17.3526i −0.0548002 + 1.37184i
\(161\) −0.0380188 0.117010i −0.00299630 0.00922166i
\(162\) −12.8470 14.4704i −1.00935 1.13690i
\(163\) −2.62184 + 8.06919i −0.205358 + 0.632027i 0.794340 + 0.607473i \(0.207817\pi\)
−0.999698 + 0.0245544i \(0.992183\pi\)
\(164\) 25.2202 + 5.36072i 1.96937 + 0.418602i
\(165\) 0.470336 3.18981i 0.0366156 0.248326i
\(166\) −7.30307 + 1.55231i −0.566828 + 0.120483i
\(167\) −1.30146 + 12.3826i −0.100710 + 0.958193i 0.821161 + 0.570697i \(0.193327\pi\)
−0.921871 + 0.387497i \(0.873340\pi\)
\(168\) −0.430688 0.249664i −0.0332283 0.0192620i
\(169\) 15.4644 6.88518i 1.18957 0.529629i
\(170\) 4.60448 + 26.9021i 0.353148 + 2.06330i
\(171\) 11.8212 8.52559i 0.903993 0.651968i
\(172\) 9.19122 6.67781i 0.700824 0.509178i
\(173\) 0.438291 + 0.0931617i 0.0333227 + 0.00708295i 0.224543 0.974464i \(-0.427911\pi\)
−0.191220 + 0.981547i \(0.561244\pi\)
\(174\) −2.99402 + 1.72162i −0.226976 + 0.130516i
\(175\) −1.06997 0.0856199i −0.0808825 0.00647225i
\(176\) −0.985221 1.70645i −0.0742638 0.128629i
\(177\) −12.5719 11.3596i −0.944959 0.853844i
\(178\) −1.78331 16.9670i −0.133665 1.27173i
\(179\) 16.8623 12.2512i 1.26035 0.915695i 0.261572 0.965184i \(-0.415759\pi\)
0.998775 + 0.0494885i \(0.0157591\pi\)
\(180\) 16.9527 4.70521i 1.26358 0.350706i
\(181\) −11.8265 8.59247i −0.879058 0.638673i 0.0539438 0.998544i \(-0.482821\pi\)
−0.933002 + 0.359871i \(0.882821\pi\)
\(182\) −1.26254 + 2.18678i −0.0935856 + 0.162095i
\(183\) 10.5830 + 23.8821i 0.782317 + 1.76542i
\(184\) −0.750503 + 0.159524i −0.0553278 + 0.0117603i
\(185\) 11.3647 9.43929i 0.835546 0.693990i
\(186\) −3.65731 + 1.18126i −0.268167 + 0.0866142i
\(187\) −3.16246 3.51226i −0.231262 0.256842i
\(188\) −2.09452 + 6.44627i −0.152759 + 0.470142i
\(189\) 0.237651 1.08990i 0.0172866 0.0792782i
\(190\) 3.94041 + 23.0222i 0.285867 + 1.67021i
\(191\) 15.7623 + 17.5058i 1.14052 + 1.26667i 0.959037 + 0.283279i \(0.0914223\pi\)
0.181481 + 0.983395i \(0.441911\pi\)
\(192\) 12.2102 16.7442i 0.881193 1.20841i
\(193\) −0.567396 0.982758i −0.0408420 0.0707405i 0.844882 0.534953i \(-0.179671\pi\)
−0.885724 + 0.464213i \(0.846337\pi\)
\(194\) 2.28615 21.7513i 0.164136 1.56165i
\(195\) −5.70213 20.4060i −0.408338 1.46130i
\(196\) 1.90639 + 18.1381i 0.136171 + 1.29558i
\(197\) 7.23157 5.25404i 0.515228 0.374335i −0.299575 0.954073i \(-0.596845\pi\)
0.814803 + 0.579738i \(0.196845\pi\)
\(198\) −3.60704 + 3.97794i −0.256341 + 0.282700i
\(199\) −11.5001 −0.815219 −0.407609 0.913156i \(-0.633637\pi\)
−0.407609 + 0.913156i \(0.633637\pi\)
\(200\) −1.22853 + 6.58039i −0.0868699 + 0.465304i
\(201\) −16.2151 + 9.32400i −1.14373 + 0.657665i
\(202\) 8.11586 9.01358i 0.571030 0.634193i
\(203\) −0.181885 0.0809805i −0.0127658 0.00568371i
\(204\) 10.5305 23.5409i 0.737281 1.64819i
\(205\) −20.6190 7.62211i −1.44009 0.532351i
\(206\) 10.1043 + 7.34117i 0.703997 + 0.511484i
\(207\) −0.854426 1.49194i −0.0593867 0.103697i
\(208\) −10.4754 7.61080i −0.726336 0.527714i
\(209\) −2.70635 3.00571i −0.187202 0.207909i
\(210\) 1.40121 + 1.11010i 0.0966924 + 0.0766039i
\(211\) 7.07729 7.86013i 0.487221 0.541114i −0.448533 0.893766i \(-0.648053\pi\)
0.935754 + 0.352652i \(0.114720\pi\)
\(212\) −23.9869 + 5.09858i −1.64743 + 0.350172i
\(213\) −5.06548 1.65568i −0.347081 0.113445i
\(214\) −11.6857 2.48388i −0.798819 0.169794i
\(215\) −8.57511 + 4.50441i −0.584818 + 0.307198i
\(216\) −6.60484 2.18444i −0.449402 0.148632i
\(217\) −0.179245 0.130229i −0.0121680 0.00884054i
\(218\) 10.0845 17.4668i 0.683007 1.18300i
\(219\) −4.40721 + 6.04374i −0.297812 + 0.408398i
\(220\) −1.80619 4.53589i −0.121773 0.305809i
\(221\) −28.3721 12.6321i −1.90852 0.849726i
\(222\) −24.4737 + 2.52900i −1.64257 + 0.169735i
\(223\) −6.61405 1.40586i −0.442910 0.0941434i −0.0189418 0.999821i \(-0.506030\pi\)
−0.423968 + 0.905677i \(0.639363\pi\)
\(224\) 1.66731 0.111402
\(225\) −14.8809 + 1.88634i −0.992061 + 0.125756i
\(226\) 15.4864 1.03014
\(227\) −2.89305 0.614937i −0.192019 0.0408148i 0.110898 0.993832i \(-0.464627\pi\)
−0.302917 + 0.953017i \(0.597961\pi\)
\(228\) 9.01174 20.1457i 0.596817 1.33418i
\(229\) 3.71690 + 1.65487i 0.245620 + 0.109357i 0.525854 0.850575i \(-0.323746\pi\)
−0.280235 + 0.959931i \(0.590412\pi\)
\(230\) 2.74946 0.178400i 0.181294 0.0117633i
\(231\) −0.307803 0.0328961i −0.0202520 0.00216440i
\(232\) −0.620825 + 1.07530i −0.0407591 + 0.0705969i
\(233\) −17.2334 12.5208i −1.12900 0.820263i −0.143447 0.989658i \(-0.545819\pi\)
−0.985548 + 0.169395i \(0.945819\pi\)
\(234\) −11.0215 + 33.5209i −0.720495 + 2.19133i
\(235\) 2.55930 5.18119i 0.166951 0.337984i
\(236\) −25.0959 5.33430i −1.63360 0.347233i
\(237\) 10.7229 9.62101i 0.696526 0.624952i
\(238\) 2.56310 0.544803i 0.166141 0.0353144i
\(239\) −11.7575 + 13.0580i −0.760527 + 0.844651i −0.991742 0.128252i \(-0.959063\pi\)
0.231215 + 0.972903i \(0.425730\pi\)
\(240\) −6.41231 + 6.55082i −0.413913 + 0.422854i
\(241\) −12.0647 13.3992i −0.777154 0.863117i 0.216420 0.976300i \(-0.430562\pi\)
−0.993574 + 0.113183i \(0.963895\pi\)
\(242\) −17.9281 13.0255i −1.15246 0.837313i
\(243\) 0.136378 15.5879i 0.00874864 0.999962i
\(244\) 32.0000 + 23.2494i 2.04859 + 1.48839i
\(245\) 0.620648 15.5370i 0.0396518 0.992624i
\(246\) 21.4672 + 29.6561i 1.36870 + 1.89080i
\(247\) −24.2802 10.8102i −1.54491 0.687839i
\(248\) −0.924555 + 1.02682i −0.0587093 + 0.0652033i
\(249\) −5.20361 3.01646i −0.329766 0.191160i
\(250\) 7.77157 22.7473i 0.491517 1.43867i
\(251\) 14.8913 0.939927 0.469964 0.882686i \(-0.344267\pi\)
0.469964 + 0.882686i \(0.344267\pi\)
\(252\) −0.516339 1.60826i −0.0325263 0.101311i
\(253\) −0.385988 + 0.280437i −0.0242669 + 0.0176309i
\(254\) 3.26817 + 31.0946i 0.205063 + 1.95105i
\(255\) −11.7774 + 18.5669i −0.737527 + 1.16270i
\(256\) −0.210854 + 2.00615i −0.0131784 + 0.125384i
\(257\) −3.57122 6.18553i −0.222766 0.385843i 0.732881 0.680357i \(-0.238175\pi\)
−0.955647 + 0.294515i \(0.904842\pi\)
\(258\) 16.0402 + 1.71428i 0.998620 + 0.106726i
\(259\) −0.949069 1.05405i −0.0589723 0.0654954i
\(260\) −22.9662 22.4020i −1.42430 1.38931i
\(261\) −2.71943 0.587986i −0.168328 0.0363954i
\(262\) 11.7873 36.2777i 0.728224 2.24124i
\(263\) −15.9225 17.6837i −0.981822 1.09042i −0.995894 0.0905232i \(-0.971146\pi\)
0.0140720 0.999901i \(-0.495521\pi\)
\(264\) −0.404679 + 1.88762i −0.0249063 + 0.116175i
\(265\) 20.8639 1.35376i 1.28166 0.0831610i
\(266\) 2.19344 0.466230i 0.134488 0.0285864i
\(267\) 8.09781 11.1048i 0.495578 0.679601i
\(268\) −14.1615 + 24.5284i −0.865049 + 1.49831i
\(269\) 11.9262 + 8.66489i 0.727154 + 0.528308i 0.888662 0.458563i \(-0.151636\pi\)
−0.161508 + 0.986871i \(0.551636\pi\)
\(270\) 22.3394 + 11.1810i 1.35953 + 0.680456i
\(271\) 17.5938 12.7827i 1.06875 0.776492i 0.0930624 0.995660i \(-0.470334\pi\)
0.975687 + 0.219168i \(0.0703344\pi\)
\(272\) 1.40453 + 13.3633i 0.0851624 + 0.810266i
\(273\) −1.93571 + 0.625208i −0.117155 + 0.0378393i
\(274\) 3.10885 + 5.38469i 0.187813 + 0.325301i
\(275\) 0.966423 + 4.04881i 0.0582775 + 0.244152i
\(276\) −2.25230 1.30562i −0.135572 0.0785893i
\(277\) 20.4264 + 4.34177i 1.22730 + 0.260872i 0.775559 0.631275i \(-0.217468\pi\)
0.451746 + 0.892147i \(0.350801\pi\)
\(278\) 37.2596 27.0707i 2.23468 1.62359i
\(279\) −2.82405 1.26921i −0.169071 0.0759855i
\(280\) 0.635970 + 0.0926368i 0.0380065 + 0.00553611i
\(281\) 4.51247 2.00908i 0.269191 0.119852i −0.267702 0.963502i \(-0.586264\pi\)
0.536894 + 0.843650i \(0.319598\pi\)
\(282\) −8.34317 + 4.79749i −0.496829 + 0.285686i
\(283\) 0.799696 7.60860i 0.0475370 0.452284i −0.944701 0.327933i \(-0.893648\pi\)
0.992238 0.124352i \(-0.0396852\pi\)
\(284\) −7.89319 + 1.67775i −0.468375 + 0.0995562i
\(285\) −10.0788 + 15.8891i −0.597016 + 0.941190i
\(286\) 9.57810 + 2.03589i 0.566365 + 0.120385i
\(287\) −0.652181 + 2.00721i −0.0384970 + 0.118482i
\(288\) 22.8072 4.76446i 1.34393 0.280748i
\(289\) 4.70604 + 14.4837i 0.276826 + 0.851983i
\(290\) 2.76266 3.49970i 0.162229 0.205509i
\(291\) 13.1142 11.7666i 0.768766 0.689768i
\(292\) −1.18392 + 11.2643i −0.0692837 + 0.659191i
\(293\) 7.63483 + 13.2239i 0.446032 + 0.772549i 0.998123 0.0612339i \(-0.0195036\pi\)
−0.552092 + 0.833783i \(0.686170\pi\)
\(294\) −15.2581 + 20.9239i −0.889870 + 1.22030i
\(295\) 20.5174 + 7.58454i 1.19457 + 0.441589i
\(296\) −7.15611 + 5.19921i −0.415940 + 0.302198i
\(297\) −4.30447 + 0.429585i −0.249770 + 0.0249271i
\(298\) 3.84987 + 11.8487i 0.223017 + 0.686375i
\(299\) −1.56760 + 2.71516i −0.0906564 + 0.157022i
\(300\) −18.0618 + 13.7717i −1.04280 + 0.795110i
\(301\) 0.464973 + 0.805356i 0.0268006 + 0.0464200i
\(302\) −33.7152 + 37.4445i −1.94009 + 2.15469i
\(303\) 9.71920 1.00434i 0.558353 0.0576977i
\(304\) 1.20197 + 11.4360i 0.0689376 + 0.655897i
\(305\) −24.1406 23.5476i −1.38229 1.34833i
\(306\) 33.5040 14.7767i 1.91529 0.844725i
\(307\) −31.2444 −1.78321 −0.891606 0.452812i \(-0.850421\pi\)
−0.891606 + 0.452812i \(0.850421\pi\)
\(308\) −0.428210 + 0.190651i −0.0243995 + 0.0108634i
\(309\) 2.07467 + 9.84521i 0.118024 + 0.560075i
\(310\) 3.81686 3.17022i 0.216783 0.180057i
\(311\) −15.8341 + 17.5855i −0.897868 + 0.997183i 0.102129 + 0.994771i \(0.467435\pi\)
−0.999997 + 0.00241224i \(0.999232\pi\)
\(312\) 2.61582 + 12.4132i 0.148092 + 0.702761i
\(313\) 5.43570 + 6.03696i 0.307244 + 0.341229i 0.876916 0.480643i \(-0.159597\pi\)
−0.569672 + 0.821872i \(0.692930\pi\)
\(314\) −8.00415 24.6343i −0.451701 1.39019i
\(315\) 0.237983 + 1.42031i 0.0134088 + 0.0800254i
\(316\) 6.74100 20.7467i 0.379211 1.16709i
\(317\) 13.3172 5.92921i 0.747969 0.333017i 0.00289230 0.999996i \(-0.499079\pi\)
0.745077 + 0.666978i \(0.232413\pi\)
\(318\) −30.1246 17.4628i −1.68931 0.979266i
\(319\) −0.0807052 + 0.767859i −0.00451863 + 0.0429918i
\(320\) −6.60249 + 25.9262i −0.369091 + 1.44932i
\(321\) −5.64332 7.79602i −0.314980 0.435131i
\(322\) −0.0276502 0.263074i −0.00154088 0.0146605i
\(323\) 8.52296 + 26.2310i 0.474230 + 1.45953i
\(324\) −11.6588 20.5240i −0.647709 1.14022i
\(325\) 16.6231 + 21.7225i 0.922084 + 1.20495i
\(326\) −9.12097 + 15.7980i −0.505164 + 0.874969i
\(327\) 15.4614 4.99383i 0.855018 0.276159i
\(328\) 12.0240 + 5.35342i 0.663913 + 0.295593i
\(329\) −0.506844 0.225661i −0.0279432 0.0124411i
\(330\) 2.41505 6.49811i 0.132944 0.357709i
\(331\) 2.80280 1.24789i 0.154056 0.0685900i −0.328260 0.944587i \(-0.606462\pi\)
0.482316 + 0.875997i \(0.339796\pi\)
\(332\) −9.10753 −0.499841
\(333\) −15.9944 11.7064i −0.876488 0.641504i
\(334\) −8.27231 + 25.4596i −0.452641 + 1.39308i
\(335\) 14.9621 18.9538i 0.817468 1.03556i
\(336\) 0.652998 + 0.590034i 0.0356240 + 0.0321890i
\(337\) −13.1475 + 2.79458i −0.716188 + 0.152230i −0.551572 0.834127i \(-0.685972\pi\)
−0.164616 + 0.986358i \(0.552638\pi\)
\(338\) 35.6003 7.56708i 1.93640 0.411595i
\(339\) 9.25662 + 8.36407i 0.502750 + 0.454274i
\(340\) −1.32889 + 33.2667i −0.0720690 + 1.80414i
\(341\) −0.265505 + 0.817140i −0.0143779 + 0.0442506i
\(342\) 28.6719 12.6455i 1.55040 0.683791i
\(343\) −2.99561 −0.161748
\(344\) 5.29809 2.35886i 0.285654 0.127181i
\(345\) 1.73977 + 1.37832i 0.0936660 + 0.0742063i
\(346\) 0.880108 + 0.391849i 0.0473149 + 0.0210660i
\(347\) 21.8117 + 9.71118i 1.17091 + 0.521323i 0.897690 0.440628i \(-0.145244\pi\)
0.273222 + 0.961951i \(0.411911\pi\)
\(348\) −4.00902 + 1.29486i −0.214906 + 0.0694117i
\(349\) 6.39557 11.0774i 0.342347 0.592962i −0.642521 0.766268i \(-0.722112\pi\)
0.984868 + 0.173306i \(0.0554449\pi\)
\(350\) −2.21195 0.658363i −0.118234 0.0351910i
\(351\) −24.6921 + 14.0837i −1.31797 + 0.751733i
\(352\) −1.99801 6.14924i −0.106494 0.327756i
\(353\) 2.26851 + 21.5835i 0.120741 + 1.14877i 0.872254 + 0.489054i \(0.162658\pi\)
−0.751513 + 0.659718i \(0.770676\pi\)
\(354\) −21.3614 29.5099i −1.13535 1.56843i
\(355\) 6.86552 0.445472i 0.364384 0.0236432i
\(356\) 2.17534 20.6969i 0.115293 1.09694i
\(357\) 1.82627 + 1.05866i 0.0966565 + 0.0560304i
\(358\) 40.9389 18.2272i 2.16369 0.963337i
\(359\) 5.49096 16.8994i 0.289802 0.891919i −0.695116 0.718897i \(-0.744647\pi\)
0.984918 0.173021i \(-0.0553529\pi\)
\(360\) 8.96420 0.550150i 0.472455 0.0289955i
\(361\) 1.42243 + 4.37778i 0.0748646 + 0.230410i
\(362\) −21.0309 23.3572i −1.10536 1.22763i
\(363\) −3.68110 17.4685i −0.193208 0.916857i
\(364\) −2.06104 + 2.28901i −0.108028 + 0.119977i
\(365\) 2.38314 9.35795i 0.124739 0.489817i
\(366\) 11.5809 + 54.9564i 0.605342 + 2.87262i
\(367\) −25.3936 + 11.3060i −1.32554 + 0.590167i −0.942698 0.333648i \(-0.891720\pi\)
−0.382839 + 0.923815i \(0.625054\pi\)
\(368\) 1.35644 0.0707093
\(369\) −3.18548 + 29.3204i −0.165829 + 1.52636i
\(370\) 28.1201 14.7712i 1.46189 0.767917i
\(371\) −0.209820 1.99630i −0.0108933 0.103643i
\(372\) −4.66339 + 0.481894i −0.241786 + 0.0249850i
\(373\) 7.86934 8.73979i 0.407459 0.452529i −0.504133 0.863626i \(-0.668188\pi\)
0.911591 + 0.411097i \(0.134854\pi\)
\(374\) −5.08079 8.80018i −0.262721 0.455047i
\(375\) 16.9309 9.39927i 0.874305 0.485376i
\(376\) −1.73000 + 2.99645i −0.0892179 + 0.154530i
\(377\) 1.56783 + 4.82527i 0.0807471 + 0.248514i
\(378\) 0.986999 2.18588i 0.0507657 0.112430i
\(379\) −9.49787 + 6.90061i −0.487873 + 0.354460i −0.804366 0.594134i \(-0.797495\pi\)
0.316493 + 0.948595i \(0.397495\pi\)
\(380\) −1.13723 + 28.4689i −0.0583386 + 1.46042i
\(381\) −14.8404 + 20.3511i −0.760298 + 1.04262i
\(382\) 25.3236 + 43.8618i 1.29567 + 2.24416i
\(383\) −3.80547 + 36.2067i −0.194451 + 1.85007i 0.267988 + 0.963422i \(0.413641\pi\)
−0.462439 + 0.886651i \(0.653025\pi\)
\(384\) 13.1387 11.7886i 0.670481 0.601582i
\(385\) 0.384702 0.108225i 0.0196062 0.00551567i
\(386\) −0.753956 2.32044i −0.0383753 0.118107i
\(387\) 8.66176 + 9.68783i 0.440302 + 0.492460i
\(388\) 8.24429 25.3733i 0.418540 1.28814i
\(389\) 14.8350 + 3.15327i 0.752162 + 0.159877i 0.568011 0.823021i \(-0.307713\pi\)
0.184151 + 0.982898i \(0.441046\pi\)
\(390\) −2.87007 45.4640i −0.145332 2.30216i
\(391\) 3.18240 0.676440i 0.160941 0.0342090i
\(392\) −0.973162 + 9.25902i −0.0491521 + 0.467651i
\(393\) 26.6388 15.3178i 1.34375 0.772682i
\(394\) 17.5571 7.81692i 0.884513 0.393811i
\(395\) −8.23686 + 16.6752i −0.414442 + 0.839018i
\(396\) −5.31271 + 3.83158i −0.266974 + 0.192544i
\(397\) 5.32677 3.87012i 0.267343 0.194236i −0.446035 0.895015i \(-0.647164\pi\)
0.713378 + 0.700780i \(0.247164\pi\)
\(398\) −24.1854 5.14076i −1.21230 0.257683i
\(399\) 1.56288 + 0.905978i 0.0782418 + 0.0453557i
\(400\) 4.54313 10.9276i 0.227156 0.546378i
\(401\) 12.0107 + 20.8032i 0.599786 + 1.03886i 0.992852 + 0.119350i \(0.0380810\pi\)
−0.393066 + 0.919510i \(0.628586\pi\)
\(402\) −38.2694 + 12.3605i −1.90870 + 0.616485i
\(403\) 0.590164 + 5.61504i 0.0293982 + 0.279705i
\(404\) 11.9696 8.69646i 0.595512 0.432665i
\(405\) 7.31403 + 18.7485i 0.363437 + 0.931619i
\(406\) −0.346316 0.251613i −0.0171874 0.0124873i
\(407\) −2.75016 + 4.76341i −0.136320 + 0.236113i
\(408\) 7.75655 10.6368i 0.384007 0.526600i
\(409\) 16.9095 3.59424i 0.836123 0.177724i 0.230097 0.973168i \(-0.426096\pi\)
0.606027 + 0.795444i \(0.292762\pi\)
\(410\) −39.9558 25.2469i −1.97328 1.24685i
\(411\) −1.04998 + 4.89762i −0.0517918 + 0.241582i
\(412\) 10.1943 + 11.3219i 0.502237 + 0.557791i
\(413\) 0.648967 1.99732i 0.0319336 0.0982815i
\(414\) −1.12998 3.51959i −0.0555357 0.172979i
\(415\) 7.68385 + 1.11925i 0.377186 + 0.0549417i
\(416\) −28.4298 31.5745i −1.39389 1.54807i
\(417\) 36.8916 + 3.94274i 1.80659 + 0.193077i
\(418\) −4.34802 7.53099i −0.212669 0.368353i
\(419\) 2.15825 20.5344i 0.105437 1.00317i −0.806051 0.591845i \(-0.798400\pi\)
0.911489 0.411325i \(-0.134934\pi\)
\(420\) 1.39035 + 1.67991i 0.0678419 + 0.0819712i
\(421\) −1.13080 10.7588i −0.0551118 0.524354i −0.986898 0.161346i \(-0.948416\pi\)
0.931786 0.363008i \(-0.118250\pi\)
\(422\) 18.3976 13.3666i 0.895582 0.650678i
\(423\) −7.57800 1.63849i −0.368455 0.0796661i
\(424\) −12.5183 −0.607941
\(425\) 5.20939 27.9032i 0.252692 1.35350i
\(426\) −9.91289 5.74636i −0.480281 0.278412i
\(427\) −2.16643 + 2.40607i −0.104841 + 0.116438i
\(428\) −13.3132 5.92740i −0.643516 0.286512i
\(429\) 4.62550 + 6.38994i 0.223321 + 0.308509i
\(430\) −20.0475 + 5.63981i −0.966779 + 0.271976i
\(431\) −4.52152 3.28508i −0.217794 0.158237i 0.473539 0.880773i \(-0.342976\pi\)
−0.691333 + 0.722536i \(0.742976\pi\)
\(432\) 10.6185 + 6.20513i 0.510882 + 0.298544i
\(433\) −20.6700 15.0176i −0.993337 0.721701i −0.0326873 0.999466i \(-0.510407\pi\)
−0.960649 + 0.277764i \(0.910407\pi\)
\(434\) −0.318749 0.354006i −0.0153004 0.0169928i
\(435\) 3.54146 0.599769i 0.169800 0.0287567i
\(436\) 16.4625 18.2834i 0.788408 0.875616i
\(437\) 2.72342 0.578881i 0.130279 0.0276917i
\(438\) −11.9703 + 10.7402i −0.571964 + 0.513189i
\(439\) −19.7486 4.19768i −0.942547 0.200345i −0.289085 0.957304i \(-0.593351\pi\)
−0.653462 + 0.756959i \(0.726684\pi\)
\(440\) −0.420456 2.45655i −0.0200445 0.117112i
\(441\) −20.4209 + 4.26596i −0.972424 + 0.203141i
\(442\) −54.0215 39.2489i −2.56954 1.86688i
\(443\) −15.8802 + 27.5053i −0.754490 + 1.30681i 0.191138 + 0.981563i \(0.438782\pi\)
−0.945628 + 0.325252i \(0.894551\pi\)
\(444\) −29.8428 3.18941i −1.41628 0.151363i
\(445\) −4.37879 + 17.1943i −0.207575 + 0.815088i
\(446\) −13.2813 5.91322i −0.628888 0.279999i
\(447\) −4.09819 + 9.16152i −0.193838 + 0.433325i
\(448\) 2.51242 + 0.534031i 0.118701 + 0.0252306i
\(449\) −1.22065 −0.0576060 −0.0288030 0.999585i \(-0.509170\pi\)
−0.0288030 + 0.999585i \(0.509170\pi\)
\(450\) −32.1387 2.68498i −1.51503 0.126571i
\(451\) 8.18439 0.385388
\(452\) 18.4780 + 3.92762i 0.869133 + 0.184740i
\(453\) −40.3758 + 4.17225i −1.89702 + 0.196030i
\(454\) −5.80938 2.58650i −0.272648 0.121391i
\(455\) 2.02016 1.67791i 0.0947066 0.0786617i
\(456\) 6.63788 9.10271i 0.310847 0.426274i
\(457\) −2.87232 + 4.97500i −0.134361 + 0.232721i −0.925353 0.379106i \(-0.876232\pi\)
0.790992 + 0.611827i \(0.209565\pi\)
\(458\) 7.07711 + 5.14182i 0.330692 + 0.240262i
\(459\) 28.0069 + 9.26280i 1.30725 + 0.432351i
\(460\) 3.32583 + 0.484447i 0.155068 + 0.0225875i
\(461\) 29.7543 + 6.32448i 1.38580 + 0.294560i 0.839650 0.543128i \(-0.182760\pi\)
0.546148 + 0.837689i \(0.316094\pi\)
\(462\) −0.632624 0.206777i −0.0294323 0.00962012i
\(463\) −25.3702 + 5.39259i −1.17905 + 0.250615i −0.755433 0.655226i \(-0.772573\pi\)
−0.423618 + 0.905841i \(0.639240\pi\)
\(464\) 1.46880 1.63127i 0.0681873 0.0757297i
\(465\) 3.99364 + 0.166531i 0.185201 + 0.00772269i
\(466\) −30.6458 34.0356i −1.41964 1.57667i
\(467\) 7.52196 + 5.46502i 0.348075 + 0.252891i 0.748061 0.663630i \(-0.230985\pi\)
−0.399986 + 0.916521i \(0.630985\pi\)
\(468\) −21.6520 + 37.2011i −1.00086 + 1.71962i
\(469\) −1.87559 1.36270i −0.0866067 0.0629234i
\(470\) 7.69847 9.75231i 0.355104 0.449841i
\(471\) 8.52045 19.0475i 0.392601 0.877661i
\(472\) −11.9647 5.32704i −0.550721 0.245197i
\(473\) 2.41306 2.67998i 0.110953 0.123225i
\(474\) 26.8517 15.4402i 1.23334 0.709193i
\(475\) 4.45807 23.8789i 0.204550 1.09564i
\(476\) 3.19640 0.146507
\(477\) −8.57473 26.7080i −0.392610 1.22287i
\(478\) −30.5638 + 22.2059i −1.39796 + 1.01568i
\(479\) −0.329609 3.13602i −0.0150602 0.143288i 0.984408 0.175901i \(-0.0562839\pi\)
−0.999468 + 0.0326127i \(0.989617\pi\)
\(480\) −25.0504 + 16.6511i −1.14339 + 0.760016i
\(481\) −3.77807 + 35.9459i −0.172265 + 1.63899i
\(482\) −19.3831 33.5724i −0.882874 1.52918i
\(483\) 0.125556 0.172179i 0.00571302 0.00783443i
\(484\) −18.0879 20.0886i −0.822176 0.913119i
\(485\) −10.0737 + 20.3938i −0.457425 + 0.926036i
\(486\) 7.25489 32.7213i 0.329088 1.48427i
\(487\) 3.13902 9.66092i 0.142243 0.437778i −0.854403 0.519610i \(-0.826077\pi\)
0.996646 + 0.0818323i \(0.0260772\pi\)
\(488\) 13.5107 + 15.0051i 0.611600 + 0.679251i
\(489\) −13.9842 + 4.51669i −0.632386 + 0.204252i
\(490\) 8.25062 32.3979i 0.372725 1.46359i
\(491\) −12.7383 + 2.70762i −0.574873 + 0.122193i −0.486169 0.873865i \(-0.661606\pi\)
−0.0887041 + 0.996058i \(0.528273\pi\)
\(492\) 18.0929 + 40.8293i 0.815689 + 1.84073i
\(493\) 2.63252 4.55966i 0.118563 0.205357i
\(494\) −46.2304 33.5883i −2.08000 1.51121i
\(495\) 4.95311 2.57974i 0.222626 0.115951i
\(496\) 1.97621 1.43580i 0.0887343 0.0644692i
\(497\) −0.0690438 0.656908i −0.00309704 0.0294664i
\(498\) −9.59510 8.66991i −0.429967 0.388508i
\(499\) −11.2205 19.4345i −0.502298 0.870006i −0.999996 0.00265559i \(-0.999155\pi\)
0.497698 0.867350i \(-0.334179\pi\)
\(500\) 15.0420 25.1705i 0.672696 1.12566i
\(501\) −18.6950 + 10.7500i −0.835232 + 0.480275i
\(502\) 31.3172 + 6.65668i 1.39776 + 0.297102i
\(503\) −9.75752 + 7.08926i −0.435066 + 0.316094i −0.783672 0.621175i \(-0.786655\pi\)
0.348605 + 0.937270i \(0.386655\pi\)
\(504\) −0.0871280 0.857835i −0.00388099 0.0382110i
\(505\) −11.1673 + 5.86606i −0.496938 + 0.261036i
\(506\) −0.937117 + 0.417231i −0.0416599 + 0.0185482i
\(507\) 25.3661 + 14.7044i 1.12655 + 0.653044i
\(508\) −3.98662 + 37.9302i −0.176878 + 1.68288i
\(509\) 15.2446 3.24033i 0.675704 0.143625i 0.142736 0.989761i \(-0.454410\pi\)
0.532968 + 0.846136i \(0.321077\pi\)
\(510\) −33.0683 + 33.7826i −1.46429 + 1.49592i
\(511\) −0.906848 0.192757i −0.0401166 0.00852705i
\(512\) −7.63887 + 23.5100i −0.337594 + 1.03901i
\(513\) 23.9676 + 7.92689i 1.05820 + 0.349981i
\(514\) −4.74544 14.6050i −0.209312 0.644197i
\(515\) −7.20937 10.8049i −0.317683 0.476121i
\(516\) 18.7040 + 6.11351i 0.823398 + 0.269132i
\(517\) −0.224894 + 2.13973i −0.00989084 + 0.0941051i
\(518\) −1.52477 2.64098i −0.0669946 0.116038i
\(519\) 0.314428 + 0.709556i 0.0138019 + 0.0311461i
\(520\) −9.08986 13.6232i −0.398617 0.597419i
\(521\) −2.61227 + 1.89793i −0.114446 + 0.0831496i −0.643536 0.765416i \(-0.722533\pi\)
0.529090 + 0.848566i \(0.322533\pi\)
\(522\) −5.45628 2.45221i −0.238815 0.107330i
\(523\) 1.78463 + 5.49252i 0.0780363 + 0.240171i 0.982463 0.186458i \(-0.0597009\pi\)
−0.904427 + 0.426629i \(0.859701\pi\)
\(524\) 23.2650 40.2962i 1.01634 1.76035i
\(525\) −0.966560 1.58817i −0.0421841 0.0693135i
\(526\) −25.5810 44.3076i −1.11538 1.93190i
\(527\) 3.92044 4.35410i 0.170777 0.189667i
\(528\) 1.39361 3.11541i 0.0606489 0.135581i
\(529\) 2.36982 + 22.5474i 0.103036 + 0.980320i
\(530\) 44.4832 + 6.47952i 1.93223 + 0.281452i
\(531\) 3.16978 29.1759i 0.137557 1.26613i
\(532\) 2.73540 0.118595
\(533\) 49.1320 21.8750i 2.12814 0.947510i
\(534\) 21.9942 19.7341i 0.951784 0.853979i
\(535\) 10.5036 + 6.63692i 0.454111 + 0.286939i
\(536\) −9.67438 + 10.7445i −0.417870 + 0.464091i
\(537\) 34.3145 + 11.2159i 1.48078 + 0.484001i
\(538\) 21.2082 + 23.5540i 0.914349 + 1.01549i
\(539\) 1.78896 + 5.50586i 0.0770561 + 0.237154i
\(540\) 23.8191 + 19.0066i 1.02501 + 0.817913i
\(541\) −5.27423 + 16.2324i −0.226757 + 0.697887i 0.771351 + 0.636409i \(0.219581\pi\)
−0.998108 + 0.0614771i \(0.980419\pi\)
\(542\) 42.7150 19.0180i 1.83477 0.816891i
\(543\) 0.0443033 25.3197i 0.00190124 1.08657i
\(544\) −4.60876 + 43.8494i −0.197599 + 1.88003i
\(545\) −16.1360 + 13.4023i −0.691188 + 0.574090i
\(546\) −4.35040 + 0.449550i −0.186180 + 0.0192390i
\(547\) −2.66874 25.3914i −0.114107 1.08566i −0.890367 0.455243i \(-0.849552\pi\)
0.776260 0.630413i \(-0.217114\pi\)
\(548\) 2.34376 + 7.21334i 0.100120 + 0.308139i
\(549\) −22.7593 + 39.1035i −0.971341 + 1.66890i
\(550\) 0.222550 + 8.94690i 0.00948958 + 0.381497i
\(551\) 2.25285 3.90205i 0.0959745 0.166233i
\(552\) −0.986045 0.890968i −0.0419688 0.0379221i
\(553\) 1.63123 + 0.726268i 0.0693668 + 0.0308841i
\(554\) 41.0172 + 18.2620i 1.74265 + 0.775879i
\(555\) 24.7859 + 6.35830i 1.05210 + 0.269895i
\(556\) 51.3228 22.8504i 2.17657 0.969073i
\(557\) −0.493147 −0.0208953 −0.0104477 0.999945i \(-0.503326\pi\)
−0.0104477 + 0.999945i \(0.503326\pi\)
\(558\) −5.37179 3.93163i −0.227406 0.166439i
\(559\) 7.32299 22.5378i 0.309729 0.953249i
\(560\) −1.06570 0.393951i −0.0450340 0.0166475i
\(561\) 1.71598 8.00417i 0.0724488 0.337936i
\(562\) 10.3881 2.20806i 0.438196 0.0931414i
\(563\) −23.1190 + 4.91409i −0.974349 + 0.207104i −0.667464 0.744642i \(-0.732620\pi\)
−0.306885 + 0.951746i \(0.599287\pi\)
\(564\) −11.1716 + 3.60827i −0.470409 + 0.151936i
\(565\) −15.1069 5.58447i −0.635552 0.234941i
\(566\) 5.08300 15.6439i 0.213655 0.657561i
\(567\) 1.77053 0.773487i 0.0743552 0.0324834i
\(568\) −4.11929 −0.172842
\(569\) −15.2203 + 6.77652i −0.638069 + 0.284087i −0.700162 0.713984i \(-0.746889\pi\)
0.0620932 + 0.998070i \(0.480222\pi\)
\(570\) −28.2991 + 28.9104i −1.18532 + 1.21092i
\(571\) 10.8886 + 4.84792i 0.455674 + 0.202879i 0.621721 0.783239i \(-0.286434\pi\)
−0.166047 + 0.986118i \(0.553100\pi\)
\(572\) 10.9120 + 4.85834i 0.456254 + 0.203138i
\(573\) −8.55278 + 39.8943i −0.357298 + 1.66661i
\(574\) −2.26884 + 3.92974i −0.0946995 + 0.164024i
\(575\) −2.74640 0.817438i −0.114533 0.0340895i
\(576\) 35.8936 + 0.125610i 1.49557 + 0.00523376i
\(577\) −2.15829 6.64253i −0.0898507 0.276532i 0.896027 0.444000i \(-0.146441\pi\)
−0.985878 + 0.167468i \(0.946441\pi\)
\(578\) 3.42260 + 32.5638i 0.142361 + 1.35448i
\(579\) 0.802588 1.79419i 0.0333544 0.0745639i
\(580\) 4.18392 3.47510i 0.173728 0.144295i
\(581\) 0.0779251 0.741408i 0.00323288 0.0307588i
\(582\) 32.8398 18.8835i 1.36125 0.782747i
\(583\) −7.11119 + 3.16611i −0.294515 + 0.131127i
\(584\) −1.78667 + 5.49881i −0.0739330 + 0.227542i
\(585\) 22.8391 28.7250i 0.944282 1.18763i
\(586\) 10.1452 + 31.2236i 0.419093 + 1.28984i
\(587\) 16.4197 + 18.2360i 0.677715 + 0.752679i 0.979664 0.200645i \(-0.0643038\pi\)
−0.301949 + 0.953324i \(0.597637\pi\)
\(588\) −23.5122 + 21.0961i −0.969628 + 0.869990i
\(589\) 3.35502 3.72613i 0.138241 0.153533i
\(590\) 39.7589 + 25.1224i 1.63685 + 1.03427i
\(591\) 14.7161 + 4.81005i 0.605341 + 0.197859i
\(592\) 14.2857 6.36041i 0.587139 0.261411i
\(593\) −46.1210 −1.89396 −0.946981 0.321290i \(-0.895884\pi\)
−0.946981 + 0.321290i \(0.895884\pi\)
\(594\) −9.24459 1.02074i −0.379310 0.0418813i
\(595\) −2.69674 0.392813i −0.110556 0.0161038i
\(596\) 1.58854 + 15.1139i 0.0650691 + 0.619091i
\(597\) −11.6797 16.1350i −0.478019 0.660363i
\(598\) −4.51048 + 5.00939i −0.184447 + 0.204849i
\(599\) 1.44188 + 2.49741i 0.0589136 + 0.102041i 0.893978 0.448111i \(-0.147903\pi\)
−0.835064 + 0.550152i \(0.814570\pi\)
\(600\) −10.4803 + 4.95951i −0.427855 + 0.202471i
\(601\) 12.7488 22.0816i 0.520036 0.900728i −0.479693 0.877436i \(-0.659252\pi\)
0.999729 0.0232919i \(-0.00741470\pi\)
\(602\) 0.617856 + 1.90157i 0.0251819 + 0.0775020i
\(603\) −29.5503 13.2808i −1.20338 0.540834i
\(604\) −49.7247 + 36.1271i −2.02327 + 1.46999i
\(605\) 12.7917 + 19.1713i 0.520055 + 0.779422i
\(606\) 20.8890 + 2.23249i 0.848558 + 0.0906885i
\(607\) 9.59799 + 16.6242i 0.389570 + 0.674756i 0.992392 0.123120i \(-0.0392901\pi\)
−0.602821 + 0.797876i \(0.705957\pi\)
\(608\) −3.94407 + 37.5253i −0.159953 + 1.52185i
\(609\) −0.0711076 0.337437i −0.00288142 0.0136736i
\(610\) −40.2430 60.3134i −1.62939 2.44202i
\(611\) 4.36893 + 13.4462i 0.176748 + 0.543974i
\(612\) 43.7237 9.13396i 1.76743 0.369218i
\(613\) 1.55330 4.78057i 0.0627372 0.193085i −0.914775 0.403963i \(-0.867632\pi\)
0.977512 + 0.210878i \(0.0676323\pi\)
\(614\) −65.7089 13.9669i −2.65179 0.563656i
\(615\) −10.2470 36.6704i −0.413198 1.47869i
\(616\) −0.234048 + 0.0497484i −0.00943006 + 0.00200442i
\(617\) 3.04669 28.9873i 0.122655 1.16698i −0.744036 0.668139i \(-0.767091\pi\)
0.866691 0.498845i \(-0.166242\pi\)
\(618\) −0.0378515 + 21.6325i −0.00152261 + 0.870187i
\(619\) −33.7213 + 15.0137i −1.35537 + 0.603451i −0.950444 0.310897i \(-0.899371\pi\)
−0.404930 + 0.914348i \(0.632704\pi\)
\(620\) 5.35821 2.81461i 0.215191 0.113037i
\(621\) 1.22548 2.71404i 0.0491768 0.108911i
\(622\) −41.1611 + 29.9053i −1.65041 + 1.19909i
\(623\) 1.66624 + 0.354171i 0.0667566 + 0.0141896i
\(624\) 0.0392417 22.4270i 0.00157093 0.897800i
\(625\) −15.7839 + 19.3873i −0.631355 + 0.775494i
\(626\) 8.73297 + 15.1260i 0.349040 + 0.604555i
\(627\) 1.46850 6.84978i 0.0586461 0.273554i
\(628\) −3.30269 31.4230i −0.131792 1.25391i
\(629\) 30.3444 22.0465i 1.20991 0.879053i
\(630\) −0.134414 + 3.09338i −0.00535517 + 0.123243i
\(631\) −23.9259 17.3832i −0.952474 0.692013i −0.00108328 0.999999i \(-0.500345\pi\)
−0.951391 + 0.307987i \(0.900345\pi\)
\(632\) 5.56783 9.64376i 0.221476 0.383608i
\(633\) 18.2159 + 1.94680i 0.724017 + 0.0773784i
\(634\) 30.6574 6.51643i 1.21756 0.258800i
\(635\) 8.02477 31.5111i 0.318453 1.25048i
\(636\) −31.5151 28.4763i −1.24966 1.12916i
\(637\) 25.4553 + 28.2710i 1.00858 + 1.12014i
\(638\) −0.512976 + 1.57878i −0.0203089 + 0.0625044i
\(639\) −2.82162 8.78859i −0.111622 0.347671i
\(640\) −10.0926 + 20.4320i −0.398944 + 0.807644i
\(641\) 16.3402 + 18.1476i 0.645399 + 0.716788i 0.973712 0.227781i \(-0.0731470\pi\)
−0.328314 + 0.944569i \(0.606480\pi\)
\(642\) −8.38328 18.9182i −0.330862 0.746641i
\(643\) 1.87297 + 3.24409i 0.0738629 + 0.127934i 0.900591 0.434667i \(-0.143134\pi\)
−0.826728 + 0.562601i \(0.809801\pi\)
\(644\) 0.0337286 0.320906i 0.00132909 0.0126455i
\(645\) −15.0289 7.45643i −0.591763 0.293597i
\(646\) 6.19855 + 58.9753i 0.243879 + 2.32035i
\(647\) 19.1798 13.9350i 0.754038 0.547840i −0.143038 0.989717i \(-0.545687\pi\)
0.897076 + 0.441877i \(0.145687\pi\)
\(648\) −3.64316 11.4854i −0.143117 0.451189i
\(649\) −8.14405 −0.319682
\(650\) 25.2490 + 53.1147i 0.990348 + 2.08333i
\(651\) 0.000671470 0.383751i 2.63170e−5 0.0150404i
\(652\) −14.8896 + 16.5365i −0.583120 + 0.647620i
\(653\) 15.7653 + 7.01917i 0.616944 + 0.274681i 0.691320 0.722549i \(-0.257030\pi\)
−0.0743754 + 0.997230i \(0.523696\pi\)
\(654\) 34.7486 3.59077i 1.35878 0.140410i
\(655\) −24.5803 + 31.1380i −0.960433 + 1.21666i
\(656\) −18.8247 13.6769i −0.734981 0.533995i
\(657\) −12.9557 0.0453385i −0.505448 0.00176882i
\(658\) −0.965048 0.701149i −0.0376215 0.0273336i
\(659\) 14.8203 + 16.4596i 0.577317 + 0.641175i 0.959097 0.283078i \(-0.0913555\pi\)
−0.381780 + 0.924253i \(0.624689\pi\)
\(660\) 4.52961 7.14089i 0.176315 0.277959i
\(661\) −10.0159 + 11.1238i −0.389575 + 0.432666i −0.905747 0.423818i \(-0.860690\pi\)
0.516173 + 0.856485i \(0.327356\pi\)
\(662\) 6.45228 1.37147i 0.250775 0.0533039i
\(663\) −11.0920 52.6366i −0.430778 2.04423i
\(664\) −4.54757 0.966615i −0.176480 0.0375119i
\(665\) −2.30781 0.336160i −0.0894929 0.0130357i
\(666\) −28.4043 31.7690i −1.10064 1.23102i
\(667\) −0.429993 0.312408i −0.0166494 0.0120965i
\(668\) −16.3273 + 28.2797i −0.631722 + 1.09417i
\(669\) −4.74489 10.7076i −0.183448 0.413979i
\(670\) 39.9390 33.1726i 1.54298 1.28157i
\(671\) 11.4700 + 5.10679i 0.442796 + 0.197145i
\(672\) 1.69335 + 2.33929i 0.0653224 + 0.0902402i
\(673\) −8.03882 1.70870i −0.309874 0.0658657i 0.0503500 0.998732i \(-0.483966\pi\)
−0.360224 + 0.932866i \(0.617300\pi\)
\(674\) −28.8991 −1.11315
\(675\) −17.7600 18.9627i −0.683582 0.729874i
\(676\) 44.3966 1.70756
\(677\) −3.98325 0.846666i −0.153089 0.0325400i 0.130730 0.991418i \(-0.458268\pi\)
−0.283818 + 0.958878i \(0.591601\pi\)
\(678\) 15.7283 + 21.7280i 0.604043 + 0.834460i
\(679\) 1.99500 + 0.888232i 0.0765611 + 0.0340872i
\(680\) −4.19426 + 16.4697i −0.160842 + 0.631584i
\(681\) −2.07546 4.68360i −0.0795319 0.179476i
\(682\) −0.923650 + 1.59981i −0.0353684 + 0.0612599i
\(683\) −22.8029 16.5672i −0.872527 0.633928i 0.0587367 0.998274i \(-0.481293\pi\)
−0.931264 + 0.364345i \(0.881293\pi\)
\(684\) 37.4177 7.81663i 1.43070 0.298876i
\(685\) −1.09092 6.37379i −0.0416818 0.243530i
\(686\) −6.29995 1.33910i −0.240533 0.0511269i
\(687\) 1.45311 + 6.89567i 0.0554398 + 0.263086i
\(688\) −10.0287 + 2.13167i −0.382342 + 0.0812693i
\(689\) −34.2272 + 38.0132i −1.30395 + 1.44819i
\(690\) 3.04270 + 3.67640i 0.115834 + 0.139958i
\(691\) 9.63302 + 10.6986i 0.366457 + 0.406992i 0.897969 0.440059i \(-0.145042\pi\)
−0.531511 + 0.847051i \(0.678376\pi\)
\(692\) 0.950744 + 0.690756i 0.0361419 + 0.0262586i
\(693\) −0.266457 0.465270i −0.0101219 0.0176741i
\(694\) 41.5302 + 30.1734i 1.57646 + 1.14537i
\(695\) −46.1083 + 12.9713i −1.74899 + 0.492028i
\(696\) −2.13921 + 0.221056i −0.0810865 + 0.00837911i
\(697\) −50.9860 22.7004i −1.93123 0.859839i
\(698\) 18.4021 20.4376i 0.696530 0.773575i
\(699\) 0.0645579 36.8954i 0.00244180 1.39551i
\(700\) −2.47227 1.34653i −0.0934430 0.0508941i
\(701\) −29.8133 −1.12603 −0.563017 0.826446i \(-0.690359\pi\)
−0.563017 + 0.826446i \(0.690359\pi\)
\(702\) −58.2248 + 18.5810i −2.19755 + 0.701296i
\(703\) 25.9681 18.8669i 0.979404 0.711579i
\(704\) −1.04117 9.90609i −0.0392406 0.373350i
\(705\) 9.86869 1.67133i 0.371676 0.0629458i
\(706\) −4.87741 + 46.4054i −0.183564 + 1.74649i
\(707\) 0.605530 + 1.04881i 0.0227733 + 0.0394445i
\(708\) −18.0037 40.6281i −0.676620 1.52690i
\(709\) 8.07398 + 8.96707i 0.303225 + 0.336765i 0.875430 0.483345i \(-0.160578\pi\)
−0.572205 + 0.820111i \(0.693912\pi\)
\(710\) 14.6378 + 2.13217i 0.549345 + 0.0800188i
\(711\) 24.3890 + 5.27332i 0.914660 + 0.197765i
\(712\) 3.28283 10.1035i 0.123029 0.378645i
\(713\) −0.395765 0.439542i −0.0148215 0.0164610i
\(714\) 3.36751 + 3.04281i 0.126026 + 0.113874i
\(715\) −8.60921 5.43990i −0.321966 0.203441i
\(716\) 53.4701 11.3654i 1.99827 0.424745i
\(717\) −30.2620 3.23421i −1.13015 0.120784i
\(718\) 19.1022 33.0860i 0.712888 1.23476i
\(719\) 11.6486 + 8.46317i 0.434418 + 0.315623i 0.783413 0.621502i \(-0.213477\pi\)
−0.348995 + 0.937125i \(0.613477\pi\)
\(720\) −15.7035 2.34356i −0.585236 0.0873393i
\(721\) −1.00890 + 0.733006i −0.0375732 + 0.0272986i
\(722\) 1.03450 + 9.84260i 0.0385001 + 0.366304i
\(723\) 6.54642 30.5357i 0.243464 1.13563i
\(724\) −19.1698 33.2030i −0.712439 1.23398i
\(725\) −3.95696 + 2.41770i −0.146958 + 0.0897911i
\(726\) 0.0671604 38.3828i 0.00249256 1.42452i
\(727\) 11.8911 + 2.52754i 0.441018 + 0.0937412i 0.423068 0.906098i \(-0.360953\pi\)
0.0179491 + 0.999839i \(0.494286\pi\)
\(728\) −1.27206 + 0.924203i −0.0471455 + 0.0342532i
\(729\) 22.0089 15.6400i 0.815143 0.579260i
\(730\) 9.19508 18.6150i 0.340325 0.688973i
\(731\) −22.4658 + 10.0024i −0.830928 + 0.369953i
\(732\) −0.119875 + 68.5098i −0.00443071 + 2.53219i
\(733\) −4.40888 + 41.9477i −0.162846 + 1.54937i 0.542224 + 0.840234i \(0.317582\pi\)
−0.705069 + 0.709138i \(0.749084\pi\)
\(734\) −58.4584 + 12.4257i −2.15774 + 0.458641i
\(735\) 22.4294 14.9089i 0.827320 0.549924i
\(736\) 4.35368 + 0.925403i 0.160479 + 0.0341108i
\(737\) −2.77819 + 8.55040i −0.102336 + 0.314958i
\(738\) −19.8060 + 60.2386i −0.729070 + 2.21741i
\(739\) 8.98032 + 27.6386i 0.330347 + 1.01670i 0.968969 + 0.247182i \(0.0795045\pi\)
−0.638623 + 0.769520i \(0.720495\pi\)
\(740\) 37.2984 10.4929i 1.37112 0.385726i
\(741\) −9.49229 45.0451i −0.348708 1.65477i
\(742\) 0.451122 4.29214i 0.0165612 0.157569i
\(743\) −6.94670 12.0320i −0.254850 0.441413i 0.710005 0.704197i \(-0.248693\pi\)
−0.964855 + 0.262784i \(0.915359\pi\)
\(744\) −2.37967 0.254324i −0.0872429 0.00932396i
\(745\) 0.517168 12.9466i 0.0189476 0.474325i
\(746\) 20.4566 14.8626i 0.748968 0.544157i
\(747\) −1.05269 10.3644i −0.0385159 0.379215i
\(748\) −3.83039 11.7887i −0.140053 0.431039i
\(749\) 0.596435 1.03305i 0.0217932 0.0377470i
\(750\) 39.8083 12.1988i 1.45359 0.445438i
\(751\) 3.34417 + 5.79228i 0.122031 + 0.211363i 0.920568 0.390582i \(-0.127726\pi\)
−0.798538 + 0.601945i \(0.794393\pi\)
\(752\) 4.09298 4.54571i 0.149256 0.165765i
\(753\) 15.1239 + 20.8930i 0.551144 + 0.761383i
\(754\) 1.14024 + 10.8487i 0.0415252 + 0.395086i
\(755\) 46.3915 24.3690i 1.68836 0.886878i
\(756\) 1.73204 2.35782i 0.0629937 0.0857531i
\(757\) 52.8193 1.91975 0.959875 0.280428i \(-0.0904765\pi\)
0.959875 + 0.280428i \(0.0904765\pi\)
\(758\) −23.0593 + 10.2667i −0.837552 + 0.372902i
\(759\) −0.785480 0.256738i −0.0285111 0.00931901i
\(760\) −3.58935 + 14.0944i −0.130199 + 0.511257i
\(761\) −30.4351 + 33.8016i −1.10327 + 1.22531i −0.131017 + 0.991380i \(0.541824\pi\)
−0.972254 + 0.233927i \(0.924842\pi\)
\(762\) −40.3077 + 36.1657i −1.46019 + 1.31014i
\(763\) 1.34752 + 1.49658i 0.0487836 + 0.0541797i
\(764\) 19.0914 + 58.7573i 0.690703 + 2.12576i
\(765\) −38.0114 + 2.33283i −1.37430 + 0.0843438i
\(766\) −24.1882 + 74.4437i −0.873956 + 2.68976i
\(767\) −48.8899 + 21.7672i −1.76531 + 0.785967i
\(768\) −3.02885 + 1.74165i −0.109294 + 0.0628462i
\(769\) 3.85459 36.6740i 0.139000 1.32250i −0.673349 0.739325i \(-0.735145\pi\)
0.812349 0.583172i \(-0.198189\pi\)
\(770\) 0.857431 0.0556348i 0.0308997 0.00200494i