Properties

Label 225.2.q.a.16.8
Level $225$
Weight $2$
Character 225.16
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 16.8
Character \(\chi\) \(=\) 225.16
Dual form 225.2.q.a.211.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.27611 + 0.568159i) q^{2} +(-0.563301 + 1.63789i) q^{3} +(-0.0326201 + 0.0362283i) q^{4} +(0.323231 - 2.21258i) q^{5} +(-0.211752 - 2.41017i) q^{6} +(2.19012 - 3.79340i) q^{7} +(0.884357 - 2.72177i) q^{8} +(-2.36538 - 1.84525i) q^{9} +O(q^{10})\) \(q+(-1.27611 + 0.568159i) q^{2} +(-0.563301 + 1.63789i) q^{3} +(-0.0326201 + 0.0362283i) q^{4} +(0.323231 - 2.21258i) q^{5} +(-0.211752 - 2.41017i) q^{6} +(2.19012 - 3.79340i) q^{7} +(0.884357 - 2.72177i) q^{8} +(-2.36538 - 1.84525i) q^{9} +(0.844622 + 3.00714i) q^{10} +(-1.20545 + 0.536699i) q^{11} +(-0.0409631 - 0.0738356i) q^{12} +(4.27610 + 1.90384i) q^{13} +(-0.639572 + 6.08512i) q^{14} +(3.44190 + 1.77577i) q^{15} +(0.407674 + 3.87876i) q^{16} +(0.180345 - 0.555045i) q^{17} +(4.06688 + 1.01082i) q^{18} +(-0.359390 + 1.10609i) q^{19} +(0.0696142 + 0.0838847i) q^{20} +(4.97949 + 5.72401i) q^{21} +(1.23335 - 1.36977i) q^{22} +(0.762156 - 7.25143i) q^{23} +(3.95981 + 2.98166i) q^{24} +(-4.79104 - 1.43035i) q^{25} -6.53844 q^{26} +(4.35475 - 2.83481i) q^{27} +(0.0659865 + 0.203085i) q^{28} +(-7.11401 - 1.51213i) q^{29} +(-5.40114 - 0.310522i) q^{30} +(9.81763 - 2.08680i) q^{31} +(0.137855 + 0.238771i) q^{32} +(-0.200027 - 2.27671i) q^{33} +(0.0852144 + 0.810761i) q^{34} +(-7.68530 - 6.07197i) q^{35} +(0.144009 - 0.0255015i) q^{36} +(-1.53428 + 1.11472i) q^{37} +(-0.169815 - 1.61568i) q^{38} +(-5.52702 + 5.93135i) q^{39} +(-5.73629 - 2.83647i) q^{40} +(5.09540 + 2.26862i) q^{41} +(-9.60650 - 4.47530i) q^{42} +(3.67658 - 6.36802i) q^{43} +(0.0198781 - 0.0611784i) q^{44} +(-4.84734 + 4.63717i) q^{45} +(3.14737 + 9.68661i) q^{46} +(6.33736 + 1.34705i) q^{47} +(-6.58263 - 1.51718i) q^{48} +(-6.09327 - 10.5539i) q^{49} +(6.92654 - 0.896798i) q^{50} +(0.807516 + 0.608044i) q^{51} +(-0.208460 + 0.0928122i) q^{52} +(2.92352 + 8.99768i) q^{53} +(-3.94650 + 6.09171i) q^{54} +(0.797854 + 2.84063i) q^{55} +(-8.38793 - 9.31574i) q^{56} +(-1.60921 - 1.21170i) q^{57} +(9.93736 - 2.11225i) q^{58} +(0.108208 + 0.0481772i) q^{59} +(-0.176608 + 0.0667683i) q^{60} +(-6.61228 + 2.94398i) q^{61} +(-11.3427 + 8.24095i) q^{62} +(-12.1803 + 4.93153i) q^{63} +(-6.62211 - 4.81124i) q^{64} +(5.59457 - 8.84584i) q^{65} +(1.54879 + 2.79168i) q^{66} +(-9.14471 + 1.94377i) q^{67} +(0.0142255 + 0.0246392i) q^{68} +(11.4477 + 5.33306i) q^{69} +(13.2571 + 3.38200i) q^{70} +(-0.489945 - 1.50790i) q^{71} +(-7.11420 + 4.80617i) q^{72} +(-7.83289 - 5.69093i) q^{73} +(1.32456 - 2.29421i) q^{74} +(5.04156 - 7.04150i) q^{75} +(-0.0283484 - 0.0491008i) q^{76} +(-0.604158 + 5.74818i) q^{77} +(3.68311 - 10.7093i) q^{78} +(2.18684 + 0.464828i) q^{79} +(8.71385 + 0.351721i) q^{80} +(2.19008 + 8.72946i) q^{81} -7.79120 q^{82} +(-0.603180 - 0.669900i) q^{83} +(-0.369802 - 0.00631949i) q^{84} +(-1.16979 - 0.578436i) q^{85} +(-1.07365 + 10.2151i) q^{86} +(6.48404 - 10.8002i) q^{87} +(0.394728 + 3.75558i) q^{88} +(6.73704 + 4.89475i) q^{89} +(3.55107 - 8.67157i) q^{90} +(16.5872 - 12.0513i) q^{91} +(0.237845 + 0.264154i) q^{92} +(-2.11232 + 17.2557i) q^{93} +(-8.85247 + 1.88165i) q^{94} +(2.33115 + 1.15270i) q^{95} +(-0.468735 + 0.0912911i) q^{96} +(-1.97015 - 0.418768i) q^{97} +(13.7719 + 10.0059i) q^{98} +(3.84169 + 0.954853i) 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 \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{1}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.27611 + 0.568159i −0.902343 + 0.401749i −0.804844 0.593487i \(-0.797751\pi\)
−0.0974991 + 0.995236i \(0.531084\pi\)
\(3\) −0.563301 + 1.63789i −0.325222 + 0.945638i
\(4\) −0.0326201 + 0.0362283i −0.0163100 + 0.0181141i
\(5\) 0.323231 2.21258i 0.144553 0.989497i
\(6\) −0.211752 2.41017i −0.0864472 0.983947i
\(7\) 2.19012 3.79340i 0.827788 1.43377i −0.0719810 0.997406i \(-0.522932\pi\)
0.899769 0.436366i \(-0.143735\pi\)
\(8\) 0.884357 2.72177i 0.312668 0.962292i
\(9\) −2.36538 1.84525i −0.788461 0.615084i
\(10\) 0.844622 + 3.00714i 0.267093 + 0.950940i
\(11\) −1.20545 + 0.536699i −0.363456 + 0.161821i −0.580336 0.814377i \(-0.697079\pi\)
0.216880 + 0.976198i \(0.430412\pi\)
\(12\) −0.0409631 0.0738356i −0.0118250 0.0213145i
\(13\) 4.27610 + 1.90384i 1.18598 + 0.528031i 0.902392 0.430917i \(-0.141810\pi\)
0.283584 + 0.958947i \(0.408476\pi\)
\(14\) −0.639572 + 6.08512i −0.170933 + 1.62632i
\(15\) 3.44190 + 1.77577i 0.888694 + 0.458501i
\(16\) 0.407674 + 3.87876i 0.101918 + 0.969690i
\(17\) 0.180345 0.555045i 0.0437401 0.134618i −0.926802 0.375551i \(-0.877453\pi\)
0.970542 + 0.240933i \(0.0774534\pi\)
\(18\) 4.06688 + 1.01082i 0.958572 + 0.238253i
\(19\) −0.359390 + 1.10609i −0.0824498 + 0.253754i −0.983780 0.179378i \(-0.942592\pi\)
0.901331 + 0.433132i \(0.142592\pi\)
\(20\) 0.0696142 + 0.0838847i 0.0155662 + 0.0187572i
\(21\) 4.97949 + 5.72401i 1.08661 + 1.24908i
\(22\) 1.23335 1.36977i 0.262950 0.292036i
\(23\) 0.762156 7.25143i 0.158920 1.51203i −0.566696 0.823927i \(-0.691778\pi\)
0.725616 0.688100i \(-0.241555\pi\)
\(24\) 3.95981 + 2.98166i 0.808293 + 0.608629i
\(25\) −4.79104 1.43035i −0.958209 0.286070i
\(26\) −6.53844 −1.28229
\(27\) 4.35475 2.83481i 0.838072 0.545560i
\(28\) 0.0659865 + 0.203085i 0.0124703 + 0.0383795i
\(29\) −7.11401 1.51213i −1.32104 0.280795i −0.507171 0.861845i \(-0.669309\pi\)
−0.813868 + 0.581050i \(0.802642\pi\)
\(30\) −5.40114 0.310522i −0.986109 0.0566933i
\(31\) 9.81763 2.08680i 1.76330 0.374801i 0.791602 0.611037i \(-0.209247\pi\)
0.971696 + 0.236236i \(0.0759139\pi\)
\(32\) 0.137855 + 0.238771i 0.0243695 + 0.0422092i
\(33\) −0.200027 2.27671i −0.0348202 0.396325i
\(34\) 0.0852144 + 0.810761i 0.0146142 + 0.139044i
\(35\) −7.68530 6.07197i −1.29905 1.02635i
\(36\) 0.144009 0.0255015i 0.0240016 0.00425025i
\(37\) −1.53428 + 1.11472i −0.252234 + 0.183259i −0.706716 0.707497i \(-0.749824\pi\)
0.454482 + 0.890756i \(0.349824\pi\)
\(38\) −0.169815 1.61568i −0.0275476 0.262097i
\(39\) −5.52702 + 5.93135i −0.885031 + 0.949777i
\(40\) −5.73629 2.83647i −0.906988 0.448486i
\(41\) 5.09540 + 2.26862i 0.795767 + 0.354298i 0.764016 0.645197i \(-0.223225\pi\)
0.0317513 + 0.999496i \(0.489892\pi\)
\(42\) −9.60650 4.47530i −1.48232 0.690554i
\(43\) 3.67658 6.36802i 0.560673 0.971114i −0.436765 0.899576i \(-0.643876\pi\)
0.997438 0.0715380i \(-0.0227907\pi\)
\(44\) 0.0198781 0.0611784i 0.00299673 0.00922299i
\(45\) −4.84734 + 4.63717i −0.722599 + 0.691268i
\(46\) 3.14737 + 9.68661i 0.464055 + 1.42821i
\(47\) 6.33736 + 1.34705i 0.924398 + 0.196487i 0.645435 0.763815i \(-0.276676\pi\)
0.278963 + 0.960302i \(0.410009\pi\)
\(48\) −6.58263 1.51718i −0.950121 0.218986i
\(49\) −6.09327 10.5539i −0.870467 1.50769i
\(50\) 6.92654 0.896798i 0.979561 0.126826i
\(51\) 0.807516 + 0.608044i 0.113075 + 0.0851431i
\(52\) −0.208460 + 0.0928122i −0.0289081 + 0.0128707i
\(53\) 2.92352 + 8.99768i 0.401577 + 1.23593i 0.923720 + 0.383068i \(0.125133\pi\)
−0.522143 + 0.852858i \(0.674867\pi\)
\(54\) −3.94650 + 6.09171i −0.537050 + 0.828977i
\(55\) 0.797854 + 2.84063i 0.107583 + 0.383030i
\(56\) −8.38793 9.31574i −1.12088 1.24487i
\(57\) −1.60921 1.21170i −0.213145 0.160494i
\(58\) 9.93736 2.11225i 1.30484 0.277352i
\(59\) 0.108208 + 0.0481772i 0.0140874 + 0.00627214i 0.413768 0.910382i \(-0.364212\pi\)
−0.399681 + 0.916654i \(0.630879\pi\)
\(60\) −0.176608 + 0.0667683i −0.0228000 + 0.00861975i
\(61\) −6.61228 + 2.94398i −0.846615 + 0.376937i −0.783744 0.621084i \(-0.786693\pi\)
−0.0628715 + 0.998022i \(0.520026\pi\)
\(62\) −11.3427 + 8.24095i −1.44052 + 1.04660i
\(63\) −12.1803 + 4.93153i −1.53457 + 0.621314i
\(64\) −6.62211 4.81124i −0.827764 0.601406i
\(65\) 5.59457 8.84584i 0.693921 1.09719i
\(66\) 1.54879 + 2.79168i 0.190643 + 0.343632i
\(67\) −9.14471 + 1.94377i −1.11720 + 0.237469i −0.729275 0.684220i \(-0.760143\pi\)
−0.387929 + 0.921689i \(0.626809\pi\)
\(68\) 0.0142255 + 0.0246392i 0.00172509 + 0.00298794i
\(69\) 11.4477 + 5.33306i 1.37815 + 0.642026i
\(70\) 13.2571 + 3.38200i 1.58453 + 0.404227i
\(71\) −0.489945 1.50790i −0.0581458 0.178954i 0.917765 0.397123i \(-0.129992\pi\)
−0.975911 + 0.218169i \(0.929992\pi\)
\(72\) −7.11420 + 4.80617i −0.838417 + 0.566413i
\(73\) −7.83289 5.69093i −0.916771 0.666073i 0.0259473 0.999663i \(-0.491740\pi\)
−0.942718 + 0.333590i \(0.891740\pi\)
\(74\) 1.32456 2.29421i 0.153977 0.266697i
\(75\) 5.04156 7.04150i 0.582149 0.813082i
\(76\) −0.0283484 0.0491008i −0.00325178 0.00563225i
\(77\) −0.604158 + 5.74818i −0.0688502 + 0.655066i
\(78\) 3.68311 10.7093i 0.417030 1.21258i
\(79\) 2.18684 + 0.464828i 0.246039 + 0.0522972i 0.329280 0.944232i \(-0.393194\pi\)
−0.0832412 + 0.996529i \(0.526527\pi\)
\(80\) 8.71385 + 0.351721i 0.974238 + 0.0393236i
\(81\) 2.19008 + 8.72946i 0.243343 + 0.969940i
\(82\) −7.79120 −0.860394
\(83\) −0.603180 0.669900i −0.0662077 0.0735310i 0.709131 0.705077i \(-0.249087\pi\)
−0.775339 + 0.631546i \(0.782421\pi\)
\(84\) −0.369802 0.00631949i −0.0403487 0.000689513i
\(85\) −1.16979 0.578436i −0.126882 0.0627402i
\(86\) −1.07365 + 10.2151i −0.115775 + 1.10153i
\(87\) 6.48404 10.8002i 0.695162 1.15790i
\(88\) 0.394728 + 3.75558i 0.0420781 + 0.400346i
\(89\) 6.73704 + 4.89475i 0.714125 + 0.518842i 0.884502 0.466537i \(-0.154499\pi\)
−0.170377 + 0.985379i \(0.554499\pi\)
\(90\) 3.55107 8.67157i 0.374316 0.914064i
\(91\) 16.5872 12.0513i 1.73881 1.26332i
\(92\) 0.237845 + 0.264154i 0.0247971 + 0.0275399i
\(93\) −2.11232 + 17.2557i −0.219038 + 1.78933i
\(94\) −8.85247 + 1.88165i −0.913063 + 0.194077i
\(95\) 2.33115 + 1.15270i 0.239171 + 0.118265i
\(96\) −0.468735 + 0.0912911i −0.0478401 + 0.00931736i
\(97\) −1.97015 0.418768i −0.200038 0.0425194i 0.106803 0.994280i \(-0.465939\pi\)
−0.306841 + 0.951761i \(0.599272\pi\)
\(98\) 13.7719 + 10.0059i 1.39117 + 1.01075i
\(99\) 3.84169 + 0.954853i 0.386104 + 0.0959663i
\(100\) 0.208103 0.126913i 0.0208103 0.0126913i
\(101\) −2.39536 + 4.14889i −0.238348 + 0.412830i −0.960240 0.279175i \(-0.909939\pi\)
0.721893 + 0.692005i \(0.243272\pi\)
\(102\) −1.37594 0.317130i −0.136238 0.0314006i
\(103\) 3.16455 3.51459i 0.311812 0.346303i −0.566785 0.823866i \(-0.691813\pi\)
0.878598 + 0.477563i \(0.158480\pi\)
\(104\) 8.96342 9.95489i 0.878936 0.976157i
\(105\) 14.2744 9.16735i 1.39304 0.894642i
\(106\) −8.84283 9.82096i −0.858892 0.953896i
\(107\) −5.47406 −0.529197 −0.264599 0.964359i \(-0.585239\pi\)
−0.264599 + 0.964359i \(0.585239\pi\)
\(108\) −0.0393519 + 0.250237i −0.00378664 + 0.0240791i
\(109\) 2.34618 1.70460i 0.224723 0.163271i −0.469727 0.882812i \(-0.655648\pi\)
0.694450 + 0.719541i \(0.255648\pi\)
\(110\) −2.63207 3.17163i −0.250958 0.302403i
\(111\) −0.961529 3.14091i −0.0912643 0.298122i
\(112\) 15.6065 + 6.94848i 1.47468 + 0.656570i
\(113\) 2.67568 + 1.19129i 0.251707 + 0.112067i 0.528712 0.848801i \(-0.322675\pi\)
−0.277005 + 0.960869i \(0.589342\pi\)
\(114\) 2.74196 + 0.631975i 0.256808 + 0.0591898i
\(115\) −15.7980 4.03022i −1.47317 0.375820i
\(116\) 0.286841 0.208403i 0.0266326 0.0193497i
\(117\) −6.60154 12.3938i −0.610313 1.14581i
\(118\) −0.165457 −0.0152315
\(119\) −1.71053 1.89974i −0.156804 0.174149i
\(120\) 7.87710 7.79765i 0.719077 0.711824i
\(121\) −6.19538 + 6.88067i −0.563217 + 0.625515i
\(122\) 6.76532 7.51365i 0.612503 0.680254i
\(123\) −6.58599 + 7.06780i −0.593839 + 0.637282i
\(124\) −0.244651 + 0.423747i −0.0219703 + 0.0380536i
\(125\) −4.71338 + 10.1382i −0.421577 + 0.906793i
\(126\) 12.7414 13.2135i 1.13510 1.17715i
\(127\) 3.62814 + 2.63599i 0.321945 + 0.233907i 0.737005 0.675887i \(-0.236239\pi\)
−0.415060 + 0.909794i \(0.636239\pi\)
\(128\) 10.6447 + 2.26260i 0.940867 + 0.199987i
\(129\) 8.35911 + 9.60895i 0.735979 + 0.846021i
\(130\) −2.11342 + 14.4668i −0.185359 + 1.26882i
\(131\) −4.66950 + 0.992533i −0.407976 + 0.0867180i −0.407328 0.913282i \(-0.633540\pi\)
−0.000647887 1.00000i \(0.500206\pi\)
\(132\) 0.0890063 + 0.0670200i 0.00774700 + 0.00583334i
\(133\) 3.40873 + 3.78578i 0.295575 + 0.328269i
\(134\) 10.5652 7.67610i 0.912698 0.663114i
\(135\) −4.86467 10.5515i −0.418684 0.908132i
\(136\) −1.35122 0.981717i −0.115866 0.0841815i
\(137\) 0.873169 + 8.30765i 0.0745999 + 0.709771i 0.966348 + 0.257238i \(0.0828126\pi\)
−0.891748 + 0.452532i \(0.850521\pi\)
\(138\) −17.6385 0.301422i −1.50149 0.0256587i
\(139\) −0.631147 + 6.00496i −0.0535332 + 0.509334i 0.934596 + 0.355710i \(0.115761\pi\)
−0.988129 + 0.153624i \(0.950906\pi\)
\(140\) 0.470672 0.0803571i 0.0397791 0.00679141i
\(141\) −5.77616 + 9.62112i −0.486440 + 0.810244i
\(142\) 1.48195 + 1.64587i 0.124362 + 0.138118i
\(143\) −6.17639 −0.516496
\(144\) 6.19298 9.92701i 0.516082 0.827251i
\(145\) −5.64518 + 15.2516i −0.468807 + 1.26657i
\(146\) 13.2290 + 2.81190i 1.09484 + 0.232715i
\(147\) 20.7184 4.03513i 1.70883 0.332812i
\(148\) 0.00966396 0.0919465i 0.000794373 0.00755795i
\(149\) 0.670873 + 1.16199i 0.0549600 + 0.0951936i 0.892196 0.451647i \(-0.149164\pi\)
−0.837236 + 0.546841i \(0.815830\pi\)
\(150\) −2.43287 + 11.8501i −0.198643 + 0.967557i
\(151\) −1.42269 + 2.46416i −0.115777 + 0.200531i −0.918090 0.396372i \(-0.870269\pi\)
0.802313 + 0.596903i \(0.203602\pi\)
\(152\) 2.69269 + 1.95636i 0.218406 + 0.158681i
\(153\) −1.45078 + 0.980113i −0.117289 + 0.0792375i
\(154\) −2.49491 7.67854i −0.201046 0.618754i
\(155\) −1.44386 22.3968i −0.115974 1.79896i
\(156\) −0.0345909 0.393715i −0.00276949 0.0315225i
\(157\) 6.35992 + 11.0157i 0.507577 + 0.879149i 0.999962 + 0.00877142i \(0.00279207\pi\)
−0.492384 + 0.870378i \(0.663875\pi\)
\(158\) −3.05474 + 0.649305i −0.243022 + 0.0516559i
\(159\) −16.3841 0.279984i −1.29934 0.0222042i
\(160\) 0.572860 0.227837i 0.0452886 0.0180121i
\(161\) −25.8384 18.7727i −2.03635 1.47949i
\(162\) −7.75450 9.89540i −0.609251 0.777456i
\(163\) 13.8750 10.0808i 1.08677 0.789587i 0.107922 0.994159i \(-0.465580\pi\)
0.978851 + 0.204572i \(0.0655803\pi\)
\(164\) −0.248400 + 0.110595i −0.0193968 + 0.00863601i
\(165\) −5.10207 0.293328i −0.397196 0.0228356i
\(166\) 1.15033 + 0.512161i 0.0892830 + 0.0397514i
\(167\) −12.8472 + 2.73077i −0.994150 + 0.211313i −0.676139 0.736774i \(-0.736348\pi\)
−0.318011 + 0.948087i \(0.603015\pi\)
\(168\) 19.9831 8.49096i 1.54173 0.655092i
\(169\) 5.96170 + 6.62114i 0.458592 + 0.509318i
\(170\) 1.82142 + 0.0735188i 0.139697 + 0.00563863i
\(171\) 2.89111 1.95316i 0.221089 0.149362i
\(172\) 0.110772 + 0.340921i 0.00844629 + 0.0259950i
\(173\) 9.19344 4.09318i 0.698964 0.311199i −0.0263151 0.999654i \(-0.508377\pi\)
0.725279 + 0.688455i \(0.241711\pi\)
\(174\) −2.13808 + 17.4662i −0.162088 + 1.32411i
\(175\) −15.9189 + 15.0417i −1.20335 + 1.13705i
\(176\) −2.57315 4.45683i −0.193959 0.335947i
\(177\) −0.139863 + 0.150094i −0.0105127 + 0.0112818i
\(178\) −11.3782 2.41850i −0.852830 0.181275i
\(179\) 6.70590 + 20.6386i 0.501222 + 1.54260i 0.807030 + 0.590510i \(0.201073\pi\)
−0.305808 + 0.952093i \(0.598927\pi\)
\(180\) −0.00987591 0.326875i −0.000736107 0.0243639i
\(181\) −3.44592 + 10.6055i −0.256133 + 0.788297i 0.737471 + 0.675379i \(0.236020\pi\)
−0.993604 + 0.112918i \(0.963980\pi\)
\(182\) −14.3200 + 24.8029i −1.06147 + 1.83852i
\(183\) −1.09721 12.4885i −0.0811084 0.923180i
\(184\) −19.0627 8.48727i −1.40532 0.625690i
\(185\) 1.97048 + 3.75503i 0.144873 + 0.276075i
\(186\) −7.10844 23.2202i −0.521216 1.70259i
\(187\) 0.0804960 + 0.765868i 0.00588645 + 0.0560058i
\(188\) −0.255526 + 0.185651i −0.0186362 + 0.0135400i
\(189\) −1.21615 22.7279i −0.0884621 1.65321i
\(190\) −3.62971 0.146508i −0.263327 0.0106288i
\(191\) −0.745267 7.09074i −0.0539256 0.513068i −0.987829 0.155543i \(-0.950287\pi\)
0.933904 0.357525i \(-0.116379\pi\)
\(192\) 11.6105 8.13613i 0.837919 0.587174i
\(193\) −6.86581 11.8919i −0.494212 0.856000i 0.505766 0.862671i \(-0.331210\pi\)
−0.999978 + 0.00667102i \(0.997877\pi\)
\(194\) 2.75204 0.584964i 0.197585 0.0419980i
\(195\) 11.3371 + 14.1462i 0.811867 + 1.01303i
\(196\) 0.581111 + 0.123519i 0.0415079 + 0.00882278i
\(197\) 2.96275 + 9.11841i 0.211087 + 0.649660i 0.999408 + 0.0343956i \(0.0109506\pi\)
−0.788321 + 0.615264i \(0.789049\pi\)
\(198\) −5.44491 + 0.964196i −0.386953 + 0.0685224i
\(199\) −8.78106 −0.622473 −0.311236 0.950333i \(-0.600743\pi\)
−0.311236 + 0.950333i \(0.600743\pi\)
\(200\) −8.13008 + 11.7752i −0.574883 + 0.832632i
\(201\) 1.96754 16.0730i 0.138780 1.13370i
\(202\) 0.699508 6.65537i 0.0492172 0.468270i
\(203\) −21.3167 + 23.6746i −1.49614 + 1.66163i
\(204\) −0.0483696 + 0.00942048i −0.00338655 + 0.000659566i
\(205\) 6.66649 10.5407i 0.465608 0.736194i
\(206\) −2.04146 + 6.28295i −0.142235 + 0.437754i
\(207\) −15.1835 + 15.7460i −1.05533 + 1.09443i
\(208\) −5.64129 + 17.3621i −0.391153 + 1.20384i
\(209\) −0.160412 1.52622i −0.0110959 0.105571i
\(210\) −13.0071 + 19.8086i −0.897575 + 1.36692i
\(211\) −0.707483 + 6.73125i −0.0487051 + 0.463399i 0.942803 + 0.333351i \(0.108180\pi\)
−0.991508 + 0.130047i \(0.958487\pi\)
\(212\) −0.421336 0.187591i −0.0289375 0.0128838i
\(213\) 2.74576 + 0.0469218i 0.188136 + 0.00321503i
\(214\) 6.98548 3.11014i 0.477518 0.212604i
\(215\) −12.9014 10.1931i −0.879867 0.695161i
\(216\) −3.86456 14.3596i −0.262950 0.977048i
\(217\) 13.5857 41.8126i 0.922259 2.83842i
\(218\) −2.02549 + 3.50825i −0.137184 + 0.237609i
\(219\) 13.7334 9.62373i 0.928018 0.650312i
\(220\) −0.128937 0.0637566i −0.00869293 0.00429847i
\(221\) 1.82789 2.03008i 0.122957 0.136558i
\(222\) 3.01155 + 3.46183i 0.202122 + 0.232343i
\(223\) −13.7113 + 6.10468i −0.918179 + 0.408800i −0.810736 0.585411i \(-0.800933\pi\)
−0.107443 + 0.994211i \(0.534266\pi\)
\(224\) 1.20767 0.0806912
\(225\) 8.69330 + 12.2240i 0.579554 + 0.814934i
\(226\) −4.09130 −0.272149
\(227\) 25.4887 11.3483i 1.69174 0.753212i 0.692239 0.721669i \(-0.256625\pi\)
0.999502 0.0315432i \(-0.0100422\pi\)
\(228\) 0.0963905 0.0187730i 0.00638362 0.00124328i
\(229\) 11.4319 12.6965i 0.755444 0.839006i −0.235696 0.971827i \(-0.575737\pi\)
0.991140 + 0.132821i \(0.0424036\pi\)
\(230\) 22.4498 3.83281i 1.48029 0.252728i
\(231\) −9.07458 4.22750i −0.597063 0.278149i
\(232\) −10.4070 + 18.0255i −0.683253 + 1.18343i
\(233\) 0.407967 1.25559i 0.0267268 0.0822566i −0.936803 0.349856i \(-0.886230\pi\)
0.963530 + 0.267600i \(0.0862304\pi\)
\(234\) 15.4659 + 12.0651i 1.01104 + 0.788718i
\(235\) 5.02888 13.5865i 0.328048 0.886287i
\(236\) −0.00527512 + 0.00234864i −0.000343381 + 0.000152883i
\(237\) −1.99319 + 3.31998i −0.129472 + 0.215656i
\(238\) 3.26217 + 1.45241i 0.211455 + 0.0941460i
\(239\) −0.172902 + 1.64505i −0.0111841 + 0.106410i −0.998690 0.0511739i \(-0.983704\pi\)
0.987506 + 0.157584i \(0.0503704\pi\)
\(240\) −5.48460 + 14.0742i −0.354029 + 0.908487i
\(241\) 2.46128 + 23.4175i 0.158545 + 1.50846i 0.727511 + 0.686096i \(0.240677\pi\)
−0.568966 + 0.822361i \(0.692656\pi\)
\(242\) 3.99665 12.3004i 0.256914 0.790701i
\(243\) −15.5316 1.33019i −0.996353 0.0853319i
\(244\) 0.109038 0.335584i 0.00698044 0.0214836i
\(245\) −25.3208 + 10.0705i −1.61769 + 0.643383i
\(246\) 4.38879 12.7611i 0.279819 0.813621i
\(247\) −3.64261 + 4.04552i −0.231773 + 0.257410i
\(248\) 3.00249 28.5668i 0.190659 1.81399i
\(249\) 1.43700 0.610590i 0.0910659 0.0386945i
\(250\) 0.254630 15.6154i 0.0161042 0.987606i
\(251\) 2.38514 0.150549 0.0752744 0.997163i \(-0.476017\pi\)
0.0752744 + 0.997163i \(0.476017\pi\)
\(252\) 0.218661 0.602137i 0.0137743 0.0379311i
\(253\) 2.97310 + 9.15025i 0.186917 + 0.575271i
\(254\) −6.12755 1.30245i −0.384477 0.0817230i
\(255\) 1.60636 1.59016i 0.100594 0.0995796i
\(256\) 1.14375 0.243111i 0.0714841 0.0151944i
\(257\) 2.09112 + 3.62192i 0.130440 + 0.225929i 0.923846 0.382764i \(-0.125028\pi\)
−0.793406 + 0.608693i \(0.791694\pi\)
\(258\) −16.1265 7.51273i −1.00399 0.467722i
\(259\) 0.868319 + 8.26151i 0.0539547 + 0.513345i
\(260\) 0.137974 + 0.491234i 0.00855679 + 0.0304650i
\(261\) 14.0371 + 16.7039i 0.868875 + 1.03395i
\(262\) 5.39486 3.91960i 0.333296 0.242153i
\(263\) 1.73040 + 16.4637i 0.106701 + 1.01519i 0.908581 + 0.417708i \(0.137167\pi\)
−0.801880 + 0.597485i \(0.796167\pi\)
\(264\) −6.37359 1.46900i −0.392267 0.0904108i
\(265\) 20.8531 3.56021i 1.28099 0.218702i
\(266\) −6.50083 2.89436i −0.398591 0.177464i
\(267\) −11.8121 + 8.27733i −0.722886 + 0.506565i
\(268\) 0.227882 0.394703i 0.0139201 0.0241103i
\(269\) −2.06909 + 6.36801i −0.126155 + 0.388264i −0.994110 0.108379i \(-0.965434\pi\)
0.867955 + 0.496643i \(0.165434\pi\)
\(270\) 12.2028 + 10.7010i 0.742638 + 0.651241i
\(271\) 5.24382 + 16.1388i 0.318539 + 0.980363i 0.974273 + 0.225371i \(0.0723594\pi\)
−0.655734 + 0.754992i \(0.727641\pi\)
\(272\) 2.22641 + 0.473238i 0.134996 + 0.0286943i
\(273\) 10.3952 + 33.9566i 0.629144 + 2.05515i
\(274\) −5.83432 10.1053i −0.352464 0.610486i
\(275\) 6.54301 0.847141i 0.394558 0.0510845i
\(276\) −0.566634 + 0.240767i −0.0341073 + 0.0144924i
\(277\) 24.5133 10.9140i 1.47286 0.655761i 0.495747 0.868467i \(-0.334894\pi\)
0.977116 + 0.212706i \(0.0682278\pi\)
\(278\) −2.60636 8.02156i −0.156319 0.481101i
\(279\) −27.0731 13.1799i −1.62083 0.789061i
\(280\) −23.3231 + 15.5479i −1.39382 + 0.929162i
\(281\) −3.17901 3.53065i −0.189644 0.210621i 0.640823 0.767688i \(-0.278593\pi\)
−0.830467 + 0.557067i \(0.811926\pi\)
\(282\) 1.90466 15.5593i 0.113421 0.926545i
\(283\) −5.72020 + 1.21587i −0.340030 + 0.0722757i −0.374762 0.927121i \(-0.622276\pi\)
0.0347318 + 0.999397i \(0.488942\pi\)
\(284\) 0.0706105 + 0.0314378i 0.00418996 + 0.00186549i
\(285\) −3.20114 + 3.16885i −0.189619 + 0.187707i
\(286\) 7.88173 3.50917i 0.466057 0.207502i
\(287\) 19.7653 14.3603i 1.16671 0.847664i
\(288\) 0.114514 0.819163i 0.00674781 0.0482696i
\(289\) 13.4777 + 9.79215i 0.792808 + 0.576009i
\(290\) −1.46147 22.6700i −0.0858206 1.33123i
\(291\) 1.79568 2.99100i 0.105265 0.175335i
\(292\) 0.461682 0.0981336i 0.0270179 0.00574283i
\(293\) 4.72283 + 8.18018i 0.275911 + 0.477891i 0.970364 0.241646i \(-0.0776873\pi\)
−0.694454 + 0.719537i \(0.744354\pi\)
\(294\) −24.1463 + 16.9206i −1.40824 + 0.986830i
\(295\) 0.141572 0.223846i 0.00824265 0.0130328i
\(296\) 1.67716 + 5.16177i 0.0974829 + 0.300022i
\(297\) −3.72797 + 5.75440i −0.216319 + 0.333904i
\(298\) −1.51630 1.10165i −0.0878367 0.0638171i
\(299\) 17.0646 29.5568i 0.986872 1.70931i
\(300\) 0.0906453 + 0.412341i 0.00523341 + 0.0238065i
\(301\) −16.1043 27.8935i −0.928237 1.60775i
\(302\) 0.415461 3.95285i 0.0239071 0.227461i
\(303\) −5.44613 6.26042i −0.312872 0.359652i
\(304\) −4.43677 0.943064i −0.254466 0.0540884i
\(305\) 4.37650 + 15.5818i 0.250598 + 0.892211i
\(306\) 1.29449 2.07500i 0.0740013 0.118620i
\(307\) 6.59126 0.376183 0.188091 0.982152i \(-0.439770\pi\)
0.188091 + 0.982152i \(0.439770\pi\)
\(308\) −0.188539 0.209394i −0.0107430 0.0119313i
\(309\) 3.97392 + 7.16296i 0.226069 + 0.407487i
\(310\) 14.5675 + 27.7604i 0.827377 + 1.57668i
\(311\) 1.57285 14.9647i 0.0891882 0.848569i −0.854882 0.518823i \(-0.826370\pi\)
0.944070 0.329746i \(-0.106963\pi\)
\(312\) 11.2559 + 20.2887i 0.637242 + 1.14862i
\(313\) −2.55089 24.2701i −0.144185 1.37183i −0.792228 0.610225i \(-0.791079\pi\)
0.648044 0.761603i \(-0.275587\pi\)
\(314\) −14.3746 10.4438i −0.811206 0.589376i
\(315\) 6.97437 + 28.5439i 0.392961 + 1.60826i
\(316\) −0.0881749 + 0.0640628i −0.00496023 + 0.00360382i
\(317\) 8.89733 + 9.88149i 0.499724 + 0.555000i 0.939252 0.343229i \(-0.111521\pi\)
−0.439528 + 0.898229i \(0.644854\pi\)
\(318\) 21.0669 8.95145i 1.18137 0.501973i
\(319\) 9.38712 1.99529i 0.525578 0.111715i
\(320\) −12.7857 + 13.0968i −0.714745 + 0.732135i
\(321\) 3.08354 8.96592i 0.172107 0.500429i
\(322\) 43.6384 + 9.27562i 2.43187 + 0.516910i
\(323\) 0.549115 + 0.398956i 0.0305536 + 0.0221985i
\(324\) −0.387694 0.205413i −0.0215386 0.0114118i
\(325\) −17.7638 15.2377i −0.985359 0.845235i
\(326\) −11.9785 + 20.7473i −0.663427 + 1.14909i
\(327\) 1.47035 + 4.80300i 0.0813103 + 0.265606i
\(328\) 10.6808 11.8622i 0.589749 0.654983i
\(329\) 18.9895 21.0899i 1.04692 1.16273i
\(330\) 6.67744 2.52447i 0.367581 0.138968i
\(331\) 3.89678 + 4.32781i 0.214186 + 0.237878i 0.840658 0.541566i \(-0.182168\pi\)
−0.626472 + 0.779444i \(0.715502\pi\)
\(332\) 0.0439451 0.00241180
\(333\) 5.68609 + 0.194394i 0.311596 + 0.0106527i
\(334\) 14.8429 10.7840i 0.812169 0.590075i
\(335\) 1.34490 + 20.8617i 0.0734796 + 1.13980i
\(336\) −20.1721 + 21.6478i −1.10048 + 1.18098i
\(337\) −14.1703 6.30902i −0.771905 0.343674i −0.0172975 0.999850i \(-0.505506\pi\)
−0.754608 + 0.656176i \(0.772173\pi\)
\(338\) −11.3696 5.06208i −0.618426 0.275341i
\(339\) −3.45842 + 3.71143i −0.187836 + 0.201577i
\(340\) 0.0591144 0.0235109i 0.00320593 0.00127506i
\(341\) −10.7146 + 7.78464i −0.580230 + 0.421562i
\(342\) −2.57966 + 4.13505i −0.139492 + 0.223598i
\(343\) −22.7183 −1.22667
\(344\) −14.0809 15.6384i −0.759190 0.843166i
\(345\) 15.5001 23.6053i 0.834498 1.27086i
\(346\) −9.40622 + 10.4467i −0.505682 + 0.561616i
\(347\) −12.8606 + 14.2832i −0.690396 + 0.766762i −0.981816 0.189833i \(-0.939205\pi\)
0.291421 + 0.956595i \(0.405872\pi\)
\(348\) 0.179763 + 0.587209i 0.00963630 + 0.0314777i
\(349\) −13.3541 + 23.1300i −0.714829 + 1.23812i 0.248197 + 0.968710i \(0.420162\pi\)
−0.963026 + 0.269410i \(0.913171\pi\)
\(350\) 11.7681 28.2393i 0.629029 1.50945i
\(351\) 24.0184 3.83118i 1.28201 0.204493i
\(352\) −0.294325 0.213839i −0.0156876 0.0113977i
\(353\) −34.5987 7.35419i −1.84150 0.391424i −0.850580 0.525845i \(-0.823749\pi\)
−0.990924 + 0.134421i \(0.957082\pi\)
\(354\) 0.0932020 0.271001i 0.00495363 0.0144035i
\(355\) −3.49471 + 0.596646i −0.185480 + 0.0316667i
\(356\) −0.397091 + 0.0844043i −0.0210458 + 0.00447342i
\(357\) 4.07511 1.73154i 0.215678 0.0916430i
\(358\) −20.2835 22.5271i −1.07201 1.19059i
\(359\) 17.3365 12.5957i 0.914987 0.664777i −0.0272839 0.999628i \(-0.508686\pi\)
0.942271 + 0.334850i \(0.108686\pi\)
\(360\) 8.33453 + 17.2943i 0.439268 + 0.911488i
\(361\) 14.2771 + 10.3729i 0.751424 + 0.545941i
\(362\) −1.62822 15.4915i −0.0855775 0.814216i
\(363\) −7.77993 14.0233i −0.408341 0.736030i
\(364\) −0.104478 + 0.994041i −0.00547613 + 0.0521019i
\(365\) −15.1235 + 15.4914i −0.791599 + 0.810859i
\(366\) 8.49564 + 15.3133i 0.444074 + 0.800440i
\(367\) 5.29000 + 5.87514i 0.276136 + 0.306680i 0.865221 0.501391i \(-0.167178\pi\)
−0.589085 + 0.808071i \(0.700512\pi\)
\(368\) 28.4372 1.48239
\(369\) −7.86640 14.7684i −0.409508 0.768814i
\(370\) −4.64799 3.67227i −0.241638 0.190912i
\(371\) 40.5347 + 8.61591i 2.10446 + 0.447316i
\(372\) −0.556241 0.639409i −0.0288397 0.0331518i
\(373\) 3.46082 32.9275i 0.179194 1.70492i −0.422639 0.906298i \(-0.638896\pi\)
0.601833 0.798622i \(-0.294437\pi\)
\(374\) −0.537856 0.931594i −0.0278119 0.0481716i
\(375\) −13.9503 13.4309i −0.720391 0.693568i
\(376\) 9.27084 16.0576i 0.478107 0.828106i
\(377\) −27.5414 20.0100i −1.41845 1.03057i
\(378\) 14.4650 + 28.3122i 0.743999 + 1.45622i
\(379\) −2.01655 6.20630i −0.103583 0.318796i 0.885812 0.464044i \(-0.153602\pi\)
−0.989395 + 0.145248i \(0.953602\pi\)
\(380\) −0.117803 + 0.0468522i −0.00604315 + 0.00240347i
\(381\) −6.36121 + 4.45764i −0.325895 + 0.228372i
\(382\) 4.97971 + 8.62511i 0.254784 + 0.441299i
\(383\) 6.39088 1.35842i 0.326559 0.0694122i −0.0417152 0.999130i \(-0.513282\pi\)
0.368274 + 0.929717i \(0.379949\pi\)
\(384\) −9.70206 + 16.1603i −0.495106 + 0.824679i
\(385\) 12.5230 + 3.19474i 0.638233 + 0.162819i
\(386\) 15.5180 + 11.2745i 0.789845 + 0.573856i
\(387\) −20.4471 + 8.27859i −1.03939 + 0.420825i
\(388\) 0.0794376 0.0577148i 0.00403283 0.00293002i
\(389\) −7.39899 + 3.29424i −0.375144 + 0.167025i −0.585643 0.810569i \(-0.699158\pi\)
0.210499 + 0.977594i \(0.432491\pi\)
\(390\) −22.5046 11.6107i −1.13957 0.587933i
\(391\) −3.88742 1.73079i −0.196595 0.0875299i
\(392\) −34.1138 + 7.25112i −1.72301 + 0.366237i
\(393\) 1.00467 8.20724i 0.0506790 0.414000i
\(394\) −8.96149 9.95274i −0.451473 0.501412i
\(395\) 1.73533 4.68833i 0.0873137 0.235895i
\(396\) −0.159909 + 0.108030i −0.00803572 + 0.00542873i
\(397\) −6.12281 18.8441i −0.307295 0.945757i −0.978811 0.204766i \(-0.934357\pi\)
0.671516 0.740990i \(-0.265643\pi\)
\(398\) 11.2056 4.98904i 0.561684 0.250078i
\(399\) −8.12085 + 3.45061i −0.406551 + 0.172746i
\(400\) 3.59479 19.1664i 0.179740 0.958321i
\(401\) 14.5828 + 25.2582i 0.728231 + 1.26133i 0.957630 + 0.288000i \(0.0929905\pi\)
−0.229399 + 0.973332i \(0.573676\pi\)
\(402\) 6.62122 + 21.6287i 0.330236 + 1.07874i
\(403\) 45.9541 + 9.76784i 2.28914 + 0.486571i
\(404\) −0.0721702 0.222117i −0.00359060 0.0110507i
\(405\) 20.0226 2.02411i 0.994929 0.100579i
\(406\) 13.7514 42.3225i 0.682471 2.10043i
\(407\) 1.25122 2.16718i 0.0620207 0.107423i
\(408\) 2.36909 1.66015i 0.117287 0.0821895i
\(409\) 11.2935 + 5.02818i 0.558426 + 0.248627i 0.666487 0.745517i \(-0.267797\pi\)
−0.108060 + 0.994144i \(0.534464\pi\)
\(410\) −2.51835 + 17.2387i −0.124373 + 0.851357i
\(411\) −14.0989 3.24955i −0.695447 0.160288i
\(412\) 0.0240996 + 0.229292i 0.00118730 + 0.0112964i
\(413\) 0.419744 0.304962i 0.0206542 0.0150062i
\(414\) 10.4295 28.7203i 0.512582 1.41152i
\(415\) −1.67717 + 1.11805i −0.0823293 + 0.0548831i
\(416\) 0.134897 + 1.28346i 0.00661389 + 0.0629269i
\(417\) −9.47996 4.41635i −0.464235 0.216270i
\(418\) 1.07183 + 1.85647i 0.0524252 + 0.0908030i
\(419\) −7.15571 + 1.52099i −0.349579 + 0.0743053i −0.379355 0.925251i \(-0.623854\pi\)
0.0297757 + 0.999557i \(0.490521\pi\)
\(420\) −0.133514 + 0.816176i −0.00651481 + 0.0398253i
\(421\) −18.7647 3.98857i −0.914537 0.194391i −0.273474 0.961879i \(-0.588173\pi\)
−0.641063 + 0.767488i \(0.721506\pi\)
\(422\) −2.92160 8.99175i −0.142221 0.437712i
\(423\) −12.5046 14.8803i −0.607996 0.723505i
\(424\) 27.0751 1.31488
\(425\) −1.65795 + 2.40129i −0.0804224 + 0.116480i
\(426\) −3.53054 + 1.50015i −0.171055 + 0.0726825i
\(427\) −3.31401 + 31.5307i −0.160376 + 1.52588i
\(428\) 0.178564 0.198316i 0.00863123 0.00958595i
\(429\) 3.47917 10.1163i 0.167976 0.488418i
\(430\) 22.2548 + 5.67740i 1.07322 + 0.273788i
\(431\) 11.4223 35.1542i 0.550192 1.69332i −0.158123 0.987419i \(-0.550544\pi\)
0.708315 0.705897i \(-0.249456\pi\)
\(432\) 12.7709 + 15.7353i 0.614439 + 0.757067i
\(433\) −10.1680 + 31.2939i −0.488643 + 1.50389i 0.337992 + 0.941149i \(0.390252\pi\)
−0.826635 + 0.562739i \(0.809748\pi\)
\(434\) 6.41936 + 61.0761i 0.308139 + 2.93175i
\(435\) −21.8005 17.8374i −1.04525 0.855239i
\(436\) −0.0147779 + 0.140602i −0.000707733 + 0.00673363i
\(437\) 7.74681 + 3.44910i 0.370580 + 0.164993i
\(438\) −12.0575 + 20.0837i −0.576128 + 0.959634i
\(439\) 28.8487 12.8443i 1.37687 0.613023i 0.421068 0.907029i \(-0.361655\pi\)
0.955804 + 0.294006i \(0.0949886\pi\)
\(440\) 8.43713 + 0.340551i 0.402224 + 0.0162352i
\(441\) −5.06160 + 36.2075i −0.241029 + 1.72417i
\(442\) −1.17918 + 3.62913i −0.0560877 + 0.172620i
\(443\) −19.3550 + 33.5238i −0.919583 + 1.59276i −0.119533 + 0.992830i \(0.538140\pi\)
−0.800050 + 0.599933i \(0.795194\pi\)
\(444\) 0.145155 + 0.0676221i 0.00688874 + 0.00320920i
\(445\) 13.0076 13.3241i 0.616622 0.631624i
\(446\) 14.0287 15.5804i 0.664278 0.737755i
\(447\) −2.28111 + 0.444270i −0.107893 + 0.0210132i
\(448\) −32.7542 + 14.5831i −1.54749 + 0.688988i
\(449\) −17.6894 −0.834813 −0.417407 0.908720i \(-0.637061\pi\)
−0.417407 + 0.908720i \(0.637061\pi\)
\(450\) −18.0388 10.6600i −0.850355 0.502515i
\(451\) −7.35979 −0.346559
\(452\) −0.130439 + 0.0580754i −0.00613535 + 0.00273164i
\(453\) −3.23464 3.71827i −0.151976 0.174700i
\(454\) −26.0786 + 28.9632i −1.22393 + 1.35931i
\(455\) −21.3030 40.5959i −0.998702 1.90317i
\(456\) −4.72110 + 3.30833i −0.221086 + 0.154927i
\(457\) −9.10167 + 15.7645i −0.425758 + 0.737434i −0.996491 0.0837013i \(-0.973326\pi\)
0.570733 + 0.821136i \(0.306659\pi\)
\(458\) −7.37476 + 22.6972i −0.344600 + 1.06057i
\(459\) −0.788092 2.92833i −0.0367850 0.136683i
\(460\) 0.661341 0.440869i 0.0308352 0.0205556i
\(461\) −3.15453 + 1.40449i −0.146921 + 0.0654136i −0.478880 0.877880i \(-0.658957\pi\)
0.331959 + 0.943294i \(0.392290\pi\)
\(462\) 13.9820 + 0.238936i 0.650502 + 0.0111163i
\(463\) 13.0433 + 5.80726i 0.606175 + 0.269886i 0.686786 0.726859i \(-0.259021\pi\)
−0.0806119 + 0.996746i \(0.525687\pi\)
\(464\) 2.96499 28.2100i 0.137646 1.30962i
\(465\) 37.4969 + 10.2513i 1.73888 + 0.475391i
\(466\) 0.192767 + 1.83406i 0.00892978 + 0.0849611i
\(467\) 6.91811 21.2917i 0.320132 0.985264i −0.653459 0.756962i \(-0.726683\pi\)
0.973590 0.228302i \(-0.0733173\pi\)
\(468\) 0.664349 + 0.165124i 0.0307095 + 0.00763286i
\(469\) −12.6545 + 38.9467i −0.584332 + 1.79839i
\(470\) 1.30192 + 20.1950i 0.0600531 + 0.931527i
\(471\) −21.6251 + 4.21171i −0.996432 + 0.194065i
\(472\) 0.226822 0.251911i 0.0104403 0.0115951i
\(473\) −1.01420 + 9.64952i −0.0466332 + 0.443685i
\(474\) 0.657246 5.36909i 0.0301883 0.246610i
\(475\) 3.30395 4.78527i 0.151596 0.219563i
\(476\) 0.124622 0.00571204
\(477\) 9.68774 26.6776i 0.443571 1.22148i
\(478\) −0.714011 2.19750i −0.0326581 0.100511i
\(479\) 29.0035 + 6.16489i 1.32520 + 0.281681i 0.815544 0.578695i \(-0.196438\pi\)
0.509660 + 0.860376i \(0.329771\pi\)
\(480\) 0.0504794 + 1.06662i 0.00230406 + 0.0486845i
\(481\) −8.68297 + 1.84562i −0.395909 + 0.0841531i
\(482\) −16.4457 28.4849i −0.749083 1.29745i
\(483\) 45.3024 31.7458i 2.06133 1.44448i
\(484\) −0.0471809 0.448896i −0.00214459 0.0204044i
\(485\) −1.56337 + 4.22375i −0.0709889 + 0.191791i
\(486\) 20.5757 7.12695i 0.933334 0.323285i
\(487\) −19.1564 + 13.9180i −0.868061 + 0.630683i −0.930066 0.367393i \(-0.880250\pi\)
0.0620051 + 0.998076i \(0.480250\pi\)
\(488\) 2.16521 + 20.6006i 0.0980147 + 0.932547i
\(489\) 8.69543 + 28.4043i 0.393221 + 1.28449i
\(490\) 26.5904 27.2373i 1.20123 1.23046i
\(491\) −19.4291 8.65038i −0.876822 0.390386i −0.0815717 0.996667i \(-0.525994\pi\)
−0.795250 + 0.606281i \(0.792661\pi\)
\(492\) −0.0412185 0.469151i −0.00185827 0.0211510i
\(493\) −2.12228 + 3.67589i −0.0955826 + 0.165554i
\(494\) 2.34985 7.23209i 0.105725 0.325387i
\(495\) 3.35444 8.19141i 0.150771 0.368177i
\(496\) 12.0966 + 37.2295i 0.543153 + 1.67165i
\(497\) −6.79310 1.44392i −0.304712 0.0647685i
\(498\) −1.48685 + 1.59562i −0.0666272 + 0.0715014i
\(499\) 9.71305 + 16.8235i 0.434816 + 0.753123i 0.997281 0.0736982i \(-0.0234802\pi\)
−0.562465 + 0.826821i \(0.690147\pi\)
\(500\) −0.213540 0.501468i −0.00954982 0.0224263i
\(501\) 2.76416 22.5806i 0.123494 1.00883i
\(502\) −3.04369 + 1.35514i −0.135847 + 0.0604828i
\(503\) −13.4070 41.2624i −0.597787 1.83980i −0.540334 0.841450i \(-0.681702\pi\)
−0.0574525 0.998348i \(-0.518298\pi\)
\(504\) 2.65078 + 37.5131i 0.118075 + 1.67097i
\(505\) 8.40551 + 6.64099i 0.374040 + 0.295520i
\(506\) −8.99278 9.98750i −0.399778 0.443998i
\(507\) −14.2029 + 6.03493i −0.630775 + 0.268021i
\(508\) −0.213848 + 0.0454547i −0.00948795 + 0.00201673i
\(509\) −30.2872 13.4847i −1.34245 0.597699i −0.395322 0.918543i \(-0.629367\pi\)
−0.947132 + 0.320843i \(0.896034\pi\)
\(510\) −1.14642 + 2.94188i −0.0507645 + 0.130269i
\(511\) −38.7430 + 17.2495i −1.71389 + 0.763073i
\(512\) −18.9297 + 13.7532i −0.836581 + 0.607812i
\(513\) 1.57050 + 5.83554i 0.0693393 + 0.257646i
\(514\) −4.72631 3.43387i −0.208469 0.151461i
\(515\) −6.75344 8.13785i −0.297592 0.358597i
\(516\) −0.620790 0.0106086i −0.0273288 0.000467016i
\(517\) −8.36230 + 1.77746i −0.367773 + 0.0781727i
\(518\) −5.80191 10.0492i −0.254921 0.441537i
\(519\) 1.52552 + 17.3636i 0.0669629 + 0.762176i
\(520\) −19.1288 23.0500i −0.838852 1.01081i
\(521\) −3.32016 10.2184i −0.145459 0.447676i 0.851611 0.524175i \(-0.175626\pi\)
−0.997070 + 0.0764982i \(0.975626\pi\)
\(522\) −27.4033 13.3407i −1.19941 0.583905i
\(523\) 25.5685 + 18.5766i 1.11803 + 0.812297i 0.983909 0.178668i \(-0.0571787\pi\)
0.134122 + 0.990965i \(0.457179\pi\)
\(524\) 0.116362 0.201545i 0.00508329 0.00880451i
\(525\) −15.6696 34.5464i −0.683878 1.50773i
\(526\) −11.5622 20.0262i −0.504134 0.873185i
\(527\) 0.612292 5.82557i 0.0266719 0.253766i
\(528\) 8.74928 1.70401i 0.380763 0.0741576i
\(529\) −29.5049 6.27146i −1.28282 0.272672i
\(530\) −24.5880 + 16.3911i −1.06803 + 0.711982i
\(531\) −0.167054 0.313628i −0.00724952 0.0136103i
\(532\) −0.248346 −0.0107671
\(533\) 17.4693 + 19.4016i 0.756680 + 0.840379i
\(534\) 10.3706 17.2739i 0.448779 0.747514i
\(535\) −1.76938 + 12.1118i −0.0764971 + 0.523639i
\(536\) −2.79670 + 26.6088i −0.120799 + 1.14933i
\(537\) −37.5813 0.642220i −1.62175 0.0277138i
\(538\) −0.977661 9.30183i −0.0421500 0.401030i
\(539\) 13.0094 + 9.45185i 0.560353 + 0.407120i
\(540\) 0.540950 + 0.167954i 0.0232788 + 0.00722757i
\(541\) −7.53845 + 5.47700i −0.324103 + 0.235475i −0.737924 0.674883i \(-0.764194\pi\)
0.413821 + 0.910358i \(0.364194\pi\)
\(542\) −15.8611 17.6155i −0.681291 0.756651i
\(543\) −15.4295 11.6181i −0.662143 0.498581i
\(544\) 0.157390 0.0334544i 0.00674806 0.00143434i
\(545\) −3.01321 5.74210i −0.129072 0.245965i
\(546\) −32.5581 37.4261i −1.39336 1.60169i
\(547\) −41.2188 8.76133i −1.76239 0.374608i −0.790948 0.611884i \(-0.790412\pi\)
−0.971442 + 0.237276i \(0.923745\pi\)
\(548\) −0.329455 0.239363i −0.0140736 0.0102251i
\(549\) 21.0730 + 5.23769i 0.899372 + 0.223539i
\(550\) −7.86826 + 4.79851i −0.335504 + 0.204609i
\(551\) 4.22926 7.32529i 0.180172 0.312068i
\(552\) 24.6393 26.4418i 1.04872 1.12544i
\(553\) 6.55274 7.27755i 0.278651 0.309473i
\(554\) −25.0807 + 27.8549i −1.06558 + 1.18344i
\(555\) −7.26031 + 1.11223i −0.308183 + 0.0472113i
\(556\) −0.196961 0.218748i −0.00835302 0.00927697i
\(557\) 21.0827 0.893303 0.446651 0.894708i \(-0.352616\pi\)
0.446651 + 0.894708i \(0.352616\pi\)
\(558\) 42.0365 + 1.43713i 1.77955 + 0.0608384i
\(559\) 27.8451 20.2306i 1.17772 0.855665i
\(560\) 20.4186 32.2848i 0.862844 1.36428i
\(561\) −1.29975 0.299571i −0.0548756 0.0126479i
\(562\) 6.06273 + 2.69930i 0.255741 + 0.113863i
\(563\) 37.4859 + 16.6898i 1.57984 + 0.703391i 0.994237 0.107204i \(-0.0341899\pi\)
0.585606 + 0.810596i \(0.300857\pi\)
\(564\) −0.160138 0.523102i −0.00674301 0.0220266i
\(565\) 3.50069 5.53511i 0.147275 0.232864i
\(566\) 6.60877 4.80155i 0.277787 0.201824i
\(567\) 37.9109 + 10.8107i 1.59211 + 0.454008i
\(568\) −4.53744 −0.190387
\(569\) −19.5221 21.6815i −0.818408 0.908935i 0.178779 0.983889i \(-0.442785\pi\)
−0.997187 + 0.0749548i \(0.976119\pi\)
\(570\) 2.28458 5.86255i 0.0956906 0.245555i
\(571\) 19.5128 21.6712i 0.816586 0.906910i −0.180471 0.983580i \(-0.557762\pi\)
0.997057 + 0.0766699i \(0.0244288\pi\)
\(572\) 0.201474 0.223760i 0.00842407 0.00935588i
\(573\) 12.0337 + 2.77355i 0.502714 + 0.115867i
\(574\) −17.0637 + 29.5552i −0.712224 + 1.23361i
\(575\) −14.0236 + 33.6518i −0.584824 + 1.40338i
\(576\) 6.78587 + 23.5999i 0.282745 + 0.983329i
\(577\) −30.4784 22.1438i −1.26883 0.921860i −0.269677 0.962951i \(-0.586917\pi\)
−0.999155 + 0.0410905i \(0.986917\pi\)
\(578\) −22.7625 4.83832i −0.946796 0.201248i
\(579\) 23.3452 4.54672i 0.970194 0.188955i
\(580\) −0.368392 0.702023i −0.0152966 0.0291499i
\(581\) −3.86224 + 0.820944i −0.160233 + 0.0340585i
\(582\) −0.592119 + 4.83706i −0.0245441 + 0.200503i
\(583\) −8.35319 9.27716i −0.345954 0.384221i
\(584\) −22.4165 + 16.2865i −0.927601 + 0.673942i
\(585\) −29.5561 + 10.6004i −1.22200 + 0.438273i
\(586\) −10.6745 7.75546i −0.440958 0.320375i
\(587\) −0.713188 6.78553i −0.0294364 0.280069i −0.999332 0.0365473i \(-0.988364\pi\)
0.969896 0.243521i \(-0.0783026\pi\)
\(588\) −0.529651 + 0.882219i −0.0218424 + 0.0363821i
\(589\) −1.22017 + 11.6091i −0.0502763 + 0.478347i
\(590\) −0.0534807 + 0.366087i −0.00220177 + 0.0150716i
\(591\) −16.6039 0.283741i −0.682993 0.0116715i
\(592\) −4.94921 5.49665i −0.203411 0.225911i
\(593\) 7.55029 0.310053 0.155027 0.987910i \(-0.450454\pi\)
0.155027 + 0.987910i \(0.450454\pi\)
\(594\) 1.48787 9.46131i 0.0610482 0.388202i
\(595\) −4.75623 + 3.17064i −0.194986 + 0.129984i
\(596\) −0.0639806 0.0135995i −0.00262075 0.000557058i
\(597\) 4.94638 14.3824i 0.202442 0.588634i
\(598\) −4.98331 + 47.4130i −0.203783 + 1.93886i
\(599\) 11.9085 + 20.6261i 0.486568 + 0.842760i 0.999881 0.0154411i \(-0.00491526\pi\)
−0.513313 + 0.858202i \(0.671582\pi\)
\(600\) −14.7068 19.9492i −0.600403 0.814421i
\(601\) −4.31568 + 7.47497i −0.176040 + 0.304911i −0.940521 0.339736i \(-0.889662\pi\)
0.764481 + 0.644647i \(0.222996\pi\)
\(602\) 36.3987 + 26.4452i 1.48350 + 1.07783i
\(603\) 25.2175 + 12.2765i 1.02694 + 0.499940i
\(604\) −0.0428643 0.131923i −0.00174412 0.00536786i
\(605\) 13.2215 + 15.9318i 0.537531 + 0.647721i
\(606\) 10.5067 + 4.89469i 0.426807 + 0.198833i
\(607\) −15.7006 27.1942i −0.637268 1.10378i −0.986030 0.166569i \(-0.946731\pi\)
0.348762 0.937211i \(-0.386602\pi\)
\(608\) −0.313646 + 0.0666675i −0.0127200 + 0.00270373i
\(609\) −26.7687 48.2503i −1.08472 1.95520i
\(610\) −14.4378 17.3975i −0.584570 0.704403i
\(611\) 24.5346 + 17.8254i 0.992563 + 0.721139i
\(612\) 0.0118169 0.0845308i 0.000477670 0.00341695i
\(613\) 28.7507 20.8886i 1.16123 0.843681i 0.171295 0.985220i \(-0.445205\pi\)
0.989933 + 0.141538i \(0.0452048\pi\)
\(614\) −8.41114 + 3.74488i −0.339446 + 0.151131i
\(615\) 13.5093 + 16.8566i 0.544747 + 0.679723i
\(616\) 15.1109 + 6.72782i 0.608837 + 0.271072i
\(617\) 42.6070 9.05640i 1.71529 0.364597i 0.757674 0.652634i \(-0.226336\pi\)
0.957619 + 0.288037i \(0.0930026\pi\)
\(618\) −9.14085 6.88288i −0.367699 0.276870i
\(619\) 11.7244 + 13.0213i 0.471244 + 0.523370i 0.931169 0.364588i \(-0.118790\pi\)
−0.459924 + 0.887958i \(0.652124\pi\)
\(620\) 0.858497 + 0.678278i 0.0344781 + 0.0272403i
\(621\) −17.2374 33.7387i −0.691715 1.35389i
\(622\) 6.49519 + 19.9901i 0.260433 + 0.801531i
\(623\) 33.3227 14.8362i 1.33505 0.594401i
\(624\) −25.2595 19.0199i −1.01119 0.761406i
\(625\) 20.9082 + 13.7057i 0.836328 + 0.548229i
\(626\) 17.0445 + 29.5219i 0.681235 + 1.17993i
\(627\) 2.59014 + 0.596981i 0.103440 + 0.0238411i
\(628\) −0.606541 0.128924i −0.0242036 0.00514464i
\(629\) 0.342020 + 1.05263i 0.0136372 + 0.0419710i
\(630\) −25.1175 32.4624i −1.00070 1.29333i
\(631\) −2.00653 + 6.17548i −0.0798788 + 0.245842i −0.983019 0.183504i \(-0.941256\pi\)
0.903140 + 0.429346i \(0.141256\pi\)
\(632\) 3.19911 5.54102i 0.127254 0.220410i
\(633\) −10.6265 4.95050i −0.422367 0.196765i
\(634\) −16.9682 7.55473i −0.673893 0.300037i
\(635\) 7.00508 7.17552i 0.277988 0.284752i
\(636\) 0.544592 0.584433i 0.0215945 0.0231743i
\(637\) −5.96256 56.7299i −0.236245 2.24772i
\(638\) −10.8453 + 7.87958i −0.429370 + 0.311955i
\(639\) −1.62354 + 4.47083i −0.0642263 + 0.176863i
\(640\) 8.44688 22.8209i 0.333892 0.902076i
\(641\) 0.984425 + 9.36618i 0.0388825 + 0.369942i 0.996610 + 0.0822663i \(0.0262158\pi\)
−0.957728 + 0.287676i \(0.907118\pi\)
\(642\) 1.15914 + 13.1934i 0.0457477 + 0.520702i
\(643\) 5.52063 + 9.56201i 0.217712 + 0.377089i 0.954108 0.299462i \(-0.0968072\pi\)
−0.736396 + 0.676551i \(0.763474\pi\)
\(644\) 1.52295 0.323713i 0.0600127 0.0127561i
\(645\) 23.9625 15.3893i 0.943523 0.605954i
\(646\) −0.927400 0.197125i −0.0364880 0.00775577i
\(647\) 8.41216 + 25.8900i 0.330716 + 1.01784i 0.968794 + 0.247868i \(0.0797299\pi\)
−0.638078 + 0.769972i \(0.720270\pi\)
\(648\) 25.6964 + 1.75906i 1.00945 + 0.0691022i
\(649\) −0.156295 −0.00613513
\(650\) 31.3259 + 9.35224i 1.22870 + 0.366825i
\(651\) 60.8316 + 45.8050i 2.38418 + 1.79524i
\(652\) −0.0873945 + 0.831503i −0.00342263 + 0.0325642i
\(653\) 1.12352 1.24780i 0.0439669 0.0488302i −0.720760 0.693184i \(-0.756207\pi\)
0.764727 + 0.644354i \(0.222874\pi\)
\(654\) −4.60518 5.29374i −0.180077 0.207002i
\(655\) 0.686736 + 10.6525i 0.0268330 + 0.416227i
\(656\) −6.72215 + 20.6887i −0.262456 + 0.807757i
\(657\) 8.02660 + 27.9149i 0.313147 + 1.08906i
\(658\) −12.2501 + 37.7020i −0.477560 + 1.46978i
\(659\) 1.71958 + 16.3607i 0.0669852 + 0.637322i 0.975580 + 0.219643i \(0.0704894\pi\)
−0.908595 + 0.417678i \(0.862844\pi\)
\(660\) 0.177057 0.175271i 0.00689193 0.00682241i
\(661\) 0.647069 6.15645i 0.0251681 0.239458i −0.974705 0.223497i \(-0.928253\pi\)
0.999873 0.0159610i \(-0.00508074\pi\)
\(662\) −7.43158 3.30875i −0.288837 0.128598i
\(663\) 2.29540 + 4.13744i 0.0891459 + 0.160685i
\(664\) −2.35674 + 1.04929i −0.0914593 + 0.0407203i
\(665\) 9.47816 6.31843i 0.367547 0.245018i
\(666\) −7.36650 + 2.98254i −0.285446 + 0.115571i
\(667\) −16.3871 + 50.4343i −0.634510 + 1.95282i
\(668\) 0.320147 0.554511i 0.0123869 0.0214547i
\(669\) −2.27520 25.8965i −0.0879644 1.00122i
\(670\) −13.5690 25.8576i −0.524216 0.998968i
\(671\) 6.39071 7.09761i 0.246711 0.274000i
\(672\) −0.680284 + 1.97804i −0.0262425 + 0.0763046i
\(673\) 5.10668 2.27364i 0.196848 0.0876423i −0.305945 0.952049i \(-0.598972\pi\)
0.502793 + 0.864407i \(0.332306\pi\)
\(674\) 21.6673 0.834594
\(675\) −24.9186 + 7.35290i −0.959116 + 0.283013i
\(676\) −0.434344 −0.0167055
\(677\) −10.9525 + 4.87636i −0.420938 + 0.187414i −0.606264 0.795263i \(-0.707333\pi\)
0.185326 + 0.982677i \(0.440666\pi\)
\(678\) 2.30463 6.70110i 0.0885088 0.257354i
\(679\) −5.90342 + 6.55641i −0.226552 + 0.251612i
\(680\) −2.60888 + 2.67236i −0.100046 + 0.102480i
\(681\) 4.22948 + 48.1402i 0.162074 + 1.84474i
\(682\) 9.25009 16.0216i 0.354204 0.613500i
\(683\) 5.37897 16.5548i 0.205821 0.633450i −0.793858 0.608103i \(-0.791931\pi\)
0.999679 0.0253475i \(-0.00806923\pi\)
\(684\) −0.0235486 + 0.168452i −0.000900404 + 0.00644093i
\(685\) 18.6636 + 0.753327i 0.713100 + 0.0287832i
\(686\) 28.9910 12.9076i 1.10688 0.492815i
\(687\) 14.3558 + 25.8762i 0.547708 + 0.987240i
\(688\) 26.1988 + 11.6645i 0.998822 + 0.444704i
\(689\) −4.62888 + 44.0409i −0.176346 + 1.67782i
\(690\) −6.36824 + 38.9293i −0.242435 + 1.48201i
\(691\) 0.0730737 + 0.695250i 0.00277985 + 0.0264485i 0.995824 0.0912950i \(-0.0291006\pi\)
−0.993044 + 0.117743i \(0.962434\pi\)
\(692\) −0.151602 + 0.466582i −0.00576303 + 0.0177368i
\(693\) 12.0359 12.4818i 0.457206 0.474145i
\(694\) 8.29642 25.5338i 0.314928 0.969248i
\(695\) 13.0825 + 3.33745i 0.496246 + 0.126597i
\(696\) −23.6615 27.1993i −0.896886 1.03099i
\(697\) 2.17812 2.41904i 0.0825020 0.0916278i
\(698\) 3.89974 37.1035i 0.147607 1.40439i
\(699\) 1.82672 + 1.37548i 0.0690928 + 0.0520255i
\(700\) −0.0256611 1.06738i −0.000969897 0.0403430i
\(701\) 17.1962 0.649492 0.324746 0.945801i \(-0.394721\pi\)
0.324746 + 0.945801i \(0.394721\pi\)
\(702\) −28.4732 + 18.5352i −1.07465 + 0.699568i
\(703\) −0.681574 2.09767i −0.0257060 0.0791150i
\(704\) 10.5648 + 2.24561i 0.398175 + 0.0846348i
\(705\) 19.4205 + 15.8901i 0.731418 + 0.598454i
\(706\) 48.3300 10.2729i 1.81892 0.386624i
\(707\) 10.4923 + 18.1732i 0.394603 + 0.683472i
\(708\) −0.000875332 0.00996307i −3.28970e−5 0.000374435i
\(709\) 1.91637 + 18.2330i 0.0719708 + 0.684756i 0.969715 + 0.244239i \(0.0785382\pi\)
−0.897744 + 0.440517i \(0.854795\pi\)
\(710\) 4.12063 2.74693i 0.154644 0.103091i
\(711\) −4.31500 5.13478i −0.161825 0.192569i
\(712\) 19.2803 14.0080i 0.722561 0.524971i
\(713\) −7.64973 72.7823i −0.286484 2.72572i
\(714\) −4.21648 + 4.52495i −0.157798 + 0.169342i
\(715\) −1.99640 + 13.6658i −0.0746611 + 0.511071i
\(716\) −0.966449 0.430291i −0.0361179 0.0160807i
\(717\) −2.59703 1.20986i −0.0969877 0.0451829i
\(718\) −14.9669 + 25.9234i −0.558559 + 0.967452i
\(719\) −2.37768 + 7.31774i −0.0886724 + 0.272906i −0.985553 0.169367i \(-0.945828\pi\)
0.896881 + 0.442273i \(0.145828\pi\)
\(720\) −19.9626 16.9112i −0.743961 0.630243i
\(721\) −6.40150 19.7018i −0.238404 0.733733i
\(722\) −24.1125 5.12526i −0.897373 0.190743i
\(723\) −39.7419 9.15981i −1.47802 0.340657i
\(724\) −0.271811 0.470790i −0.0101018 0.0174968i
\(725\) 31.9207 + 17.4202i 1.18550 + 0.646970i
\(726\) 17.8955 + 13.4749i 0.664163 + 0.500101i
\(727\) 29.7328 13.2379i 1.10273 0.490967i 0.227062 0.973880i \(-0.427088\pi\)
0.875668 + 0.482913i \(0.160421\pi\)
\(728\) −18.1319 55.8043i −0.672013 2.06824i
\(729\) 10.9277 24.6898i 0.404729 0.914437i
\(730\) 10.4976 28.3613i 0.388532 1.04970i
\(731\) −2.87149 3.18911i −0.106206 0.117953i
\(732\) 0.488230 + 0.367627i 0.0180455 + 0.0135879i
\(733\) −28.4887 + 6.05545i −1.05225 + 0.223663i −0.701400 0.712767i \(-0.747442\pi\)
−0.350853 + 0.936431i \(0.614108\pi\)
\(734\) −10.0886 4.49174i −0.372377 0.165793i
\(735\) −2.23122 47.1455i −0.0822999 1.73899i
\(736\) 1.83650 0.817662i 0.0676943 0.0301394i
\(737\) 9.98024 7.25107i 0.367627 0.267096i
\(738\) 18.4292 + 14.3767i 0.678387 + 0.529215i
\(739\) −11.3734 8.26328i −0.418378 0.303970i 0.358607 0.933489i \(-0.383252\pi\)
−0.776985 + 0.629519i \(0.783252\pi\)
\(740\) −0.200315 0.0511022i −0.00736374 0.00187855i
\(741\) −4.57425 8.24504i −0.168039 0.302889i
\(742\) −56.6218 + 12.0353i −2.07865 + 0.441831i
\(743\) −14.8798 25.7725i −0.545886 0.945503i −0.998551 0.0538219i \(-0.982860\pi\)
0.452664 0.891681i \(-0.350474\pi\)
\(744\) 45.0981 + 21.0095i 1.65338 + 0.770245i
\(745\) 2.78784 1.10877i 0.102138 0.0406223i
\(746\) 14.2917 + 43.9852i 0.523255 + 1.61041i
\(747\) 0.190619 + 2.69759i 0.00697439 + 0.0986997i
\(748\) −0.0303719 0.0220665i −0.00111051 0.000806830i
\(749\) −11.9889 + 20.7653i −0.438063 + 0.758748i
\(750\) 25.4330 + 9.21324i 0.928680 + 0.336420i
\(751\) −15.3394 26.5687i −0.559744 0.969505i −0.997517 0.0704197i \(-0.977566\pi\)
0.437773 0.899085i \(-0.355767\pi\)
\(752\) −2.64129 + 25.1302i −0.0963181 + 0.916405i
\(753\) −1.34355 + 3.90660i −0.0489618 + 0.142365i
\(754\) 46.5145 + 9.88697i 1.69396 + 0.360062i
\(755\) 4.99231 + 3.94430i 0.181689 + 0.143548i
\(756\) 0.863064 + 0.697327i 0.0313893 + 0.0253615i
\(757\) −12.3530 −0.448977 −0.224488 0.974477i \(-0.572071\pi\)
−0.224488 + 0.974477i \(0.572071\pi\)
\(758\) 6.09950 + 6.77418i 0.221544 + 0.246049i
\(759\) −16.6619 0.284732i −0.604788 0.0103351i
\(760\) 5.19896 5.32545i 0.188586 0.193174i
\(761\) 2.22064 21.1280i 0.0804982 0.765889i −0.877589 0.479413i \(-0.840850\pi\)
0.958087 0.286476i \(-0.0924838\pi\)
\(762\) 5.58493 9.30259i 0.202321 0.336997i
\(763\) −1.32781 12.6333i −0.0480701 0.457356i
\(764\) 0.281196 + 0.204301i 0.0101733 + 0.00739135i
\(765\) 1.69964 + 3.52678i 0.0614507 + 0.127511i
\(766\) −7.38364 + 5.36453i −0.266782 + 0.193828i
\(767\) 0.370985 + 0.412021i 0.0133955 + 0.0148772i
\(768\) −0.246084 + 2.01028i −0.00887979 + 0.0725396i
\(769\) 9.20733 1.95708i 0.332025 0.0705740i −0.0388830 0.999244i \(-0.512380\pi\)
0.370908 + 0.928670i \(0.379047\pi\)
\(770\) −17.7958 + 3.03825i −0.641317 + 0.109491i