Properties

Label 462.2.bc.b.95.15
Level $462$
Weight $2$
Character 462.95
Analytic conductor $3.689$
Analytic rank $0$
Dimension $128$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 462.bc (of order \(30\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.68908857338\)
Analytic rank: \(0\)
Dimension: \(128\)
Relative dimension: \(16\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 95.15
Character \(\chi\) \(=\) 462.95
Dual form 462.2.bc.b.107.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.104528 + 0.994522i) q^{2} +(1.67530 - 0.439734i) q^{3} +(-0.978148 - 0.207912i) q^{4} +(1.31655 - 2.95701i) q^{5} +(0.262209 + 1.71209i) q^{6} +(-1.86309 - 1.87854i) q^{7} +(0.309017 - 0.951057i) q^{8} +(2.61327 - 1.47338i) q^{9} +O(q^{10})\) \(q+(-0.104528 + 0.994522i) q^{2} +(1.67530 - 0.439734i) q^{3} +(-0.978148 - 0.207912i) q^{4} +(1.31655 - 2.95701i) q^{5} +(0.262209 + 1.71209i) q^{6} +(-1.86309 - 1.87854i) q^{7} +(0.309017 - 0.951057i) q^{8} +(2.61327 - 1.47338i) q^{9} +(2.80319 + 1.61843i) q^{10} +(-1.28849 + 3.05611i) q^{11} +(-1.73012 + 0.0818105i) q^{12} +(-0.480491 + 0.661339i) q^{13} +(2.06299 - 1.65652i) q^{14} +(0.905311 - 5.53281i) q^{15} +(0.913545 + 0.406737i) q^{16} +(-0.0357707 - 0.340336i) q^{17} +(1.19214 + 2.75296i) q^{18} +(-1.57259 - 7.39846i) q^{19} +(-1.90257 + 2.61867i) q^{20} +(-3.94729 - 2.32785i) q^{21} +(-2.90468 - 1.60088i) q^{22} +(7.39091 - 4.26714i) q^{23} +(0.0994842 - 1.72919i) q^{24} +(-3.66496 - 4.07035i) q^{25} +(-0.607492 - 0.546988i) q^{26} +(3.73012 - 3.61749i) q^{27} +(1.43180 + 2.22485i) q^{28} +(3.18339 + 9.79746i) q^{29} +(5.40787 + 1.47869i) q^{30} +(2.17023 - 0.966248i) q^{31} +(-0.500000 + 0.866025i) q^{32} +(-0.814730 + 5.68649i) q^{33} +0.342211 q^{34} +(-8.00770 + 3.03599i) q^{35} +(-2.86249 + 0.897850i) q^{36} +(-6.94087 + 7.70862i) q^{37} +(7.52231 - 0.790627i) q^{38} +(-0.514154 + 1.31923i) q^{39} +(-2.40545 - 2.16588i) q^{40} +(0.935825 - 2.88017i) q^{41} +(2.72770 - 3.68234i) q^{42} +3.41292i q^{43} +(1.89573 - 2.72143i) q^{44} +(-0.916300 - 9.66722i) q^{45} +(3.47121 + 7.79646i) q^{46} +(-0.0447524 - 0.210543i) q^{47} +(1.70932 + 0.279689i) q^{48} +(-0.0578104 + 6.99976i) q^{49} +(4.43115 - 3.21942i) q^{50} +(-0.209584 - 0.554436i) q^{51} +(0.607492 - 0.546988i) q^{52} +(3.55891 + 7.99344i) q^{53} +(3.20777 + 4.08781i) q^{54} +(7.34059 + 7.83358i) q^{55} +(-2.36232 + 1.19140i) q^{56} +(-5.88792 - 11.7031i) q^{57} +(-10.0765 + 2.14184i) q^{58} +(1.67693 - 7.88931i) q^{59} +(-2.03586 + 5.22368i) q^{60} +(-3.55390 + 7.98220i) q^{61} +(0.734104 + 2.25934i) q^{62} +(-7.63654 - 2.16410i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(1.32300 + 2.29150i) q^{65} +(-5.57018 - 1.40467i) q^{66} +(0.231946 - 0.401742i) q^{67} +(-0.0357707 + 0.340336i) q^{68} +(10.5056 - 10.3988i) q^{69} +(-2.18232 - 8.28118i) q^{70} +(5.68447 + 7.82400i) q^{71} +(-0.593719 - 2.94066i) q^{72} +(-0.978446 + 4.60323i) q^{73} +(-6.94087 - 7.70862i) q^{74} +(-7.92979 - 5.20746i) q^{75} +7.56375i q^{76} +(8.14158 - 3.27332i) q^{77} +(-1.25826 - 0.649234i) q^{78} +(5.51601 + 0.579756i) q^{79} +(2.40545 - 2.16588i) q^{80} +(4.65833 - 7.70065i) q^{81} +(2.76657 + 1.23176i) q^{82} +(-9.95773 + 7.23471i) q^{83} +(3.37704 + 3.09767i) q^{84} +(-1.05347 - 0.342293i) q^{85} +(-3.39422 - 0.356747i) q^{86} +(9.64142 + 15.0139i) q^{87} +(2.50837 + 2.16981i) q^{88} +(1.11328 - 0.642752i) q^{89} +(9.71004 + 0.0992200i) q^{90} +(2.13755 - 0.329512i) q^{91} +(-8.11659 + 2.63724i) q^{92} +(3.21089 - 2.57308i) q^{93} +(0.214068 - 0.0224994i) q^{94} +(-23.9477 - 5.09024i) q^{95} +(-0.456829 + 1.67072i) q^{96} +(-8.33580 - 6.05631i) q^{97} +(-6.95537 - 0.789168i) q^{98} +(1.13563 + 9.88485i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 128 q + 16 q^{2} + 16 q^{4} - 32 q^{8} + 16 q^{9} + O(q^{10}) \) \( 128 q + 16 q^{2} + 16 q^{4} - 32 q^{8} + 16 q^{9} - 6 q^{11} - 12 q^{15} + 16 q^{16} - 2 q^{17} - 4 q^{18} + 2 q^{22} - 12 q^{25} - 18 q^{27} - 5 q^{28} + 38 q^{29} + 6 q^{30} - 3 q^{31} - 64 q^{32} + 28 q^{33} - 16 q^{34} - 31 q^{35} + 8 q^{36} + 2 q^{37} - 2 q^{39} + 5 q^{40} + 16 q^{41} - 13 q^{42} - q^{44} + 28 q^{45} + 38 q^{49} + 34 q^{50} + 4 q^{51} + 25 q^{53} - 6 q^{54} - 42 q^{55} - 100 q^{57} - 19 q^{58} + 40 q^{59} - 4 q^{60} + 40 q^{61} - 4 q^{62} - 106 q^{63} - 32 q^{64} + 20 q^{65} - 7 q^{66} + 16 q^{67} - 2 q^{68} - 68 q^{69} - 21 q^{70} + 80 q^{71} - 4 q^{72} + 10 q^{73} + 2 q^{74} - 14 q^{75} + q^{77} - 16 q^{78} - 5 q^{80} + 32 q^{81} - 8 q^{82} - 92 q^{83} + 8 q^{84} - 100 q^{85} - 40 q^{86} - 38 q^{87} - q^{88} + 4 q^{90} + 12 q^{91} - 20 q^{92} - 33 q^{93} + 40 q^{94} + 38 q^{95} - 16 q^{97} + 18 q^{98} + 2 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).

\(n\) \(155\) \(199\) \(211\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{7}{10}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.104528 + 0.994522i −0.0739128 + 0.703233i
\(3\) 1.67530 0.439734i 0.967236 0.253881i
\(4\) −0.978148 0.207912i −0.489074 0.103956i
\(5\) 1.31655 2.95701i 0.588777 1.32242i −0.335984 0.941868i \(-0.609069\pi\)
0.924761 0.380547i \(-0.124264\pi\)
\(6\) 0.262209 + 1.71209i 0.107046 + 0.698957i
\(7\) −1.86309 1.87854i −0.704181 0.710021i
\(8\) 0.309017 0.951057i 0.109254 0.336249i
\(9\) 2.61327 1.47338i 0.871089 0.491125i
\(10\) 2.80319 + 1.61843i 0.886448 + 0.511791i
\(11\) −1.28849 + 3.05611i −0.388494 + 0.921451i
\(12\) −1.73012 + 0.0818105i −0.499442 + 0.0236167i
\(13\) −0.480491 + 0.661339i −0.133264 + 0.183423i −0.870434 0.492285i \(-0.836162\pi\)
0.737170 + 0.675708i \(0.236162\pi\)
\(14\) 2.06299 1.65652i 0.551358 0.442724i
\(15\) 0.905311 5.53281i 0.233750 1.42857i
\(16\) 0.913545 + 0.406737i 0.228386 + 0.101684i
\(17\) −0.0357707 0.340336i −0.00867568 0.0825436i 0.989327 0.145710i \(-0.0465467\pi\)
−0.998003 + 0.0631666i \(0.979880\pi\)
\(18\) 1.19214 + 2.75296i 0.280991 + 0.648879i
\(19\) −1.57259 7.39846i −0.360777 1.69732i −0.666748 0.745283i \(-0.732314\pi\)
0.305971 0.952041i \(-0.401019\pi\)
\(20\) −1.90257 + 2.61867i −0.425428 + 0.585552i
\(21\) −3.94729 2.32785i −0.861369 0.507979i
\(22\) −2.90468 1.60088i −0.619280 0.341309i
\(23\) 7.39091 4.26714i 1.54111 0.889761i 0.542342 0.840158i \(-0.317538\pi\)
0.998769 0.0496035i \(-0.0157958\pi\)
\(24\) 0.0994842 1.72919i 0.0203071 0.352970i
\(25\) −3.66496 4.07035i −0.732992 0.814071i
\(26\) −0.607492 0.546988i −0.119139 0.107273i
\(27\) 3.73012 3.61749i 0.717861 0.696186i
\(28\) 1.43180 + 2.22485i 0.270586 + 0.420456i
\(29\) 3.18339 + 9.79746i 0.591140 + 1.81934i 0.573070 + 0.819507i \(0.305752\pi\)
0.0180706 + 0.999837i \(0.494248\pi\)
\(30\) 5.40787 + 1.47869i 0.987338 + 0.269970i
\(31\) 2.17023 0.966248i 0.389785 0.173543i −0.202481 0.979286i \(-0.564900\pi\)
0.592265 + 0.805743i \(0.298234\pi\)
\(32\) −0.500000 + 0.866025i −0.0883883 + 0.153093i
\(33\) −0.814730 + 5.68649i −0.141826 + 0.989892i
\(34\) 0.342211 0.0586886
\(35\) −8.00770 + 3.03599i −1.35355 + 0.513175i
\(36\) −2.86249 + 0.897850i −0.477082 + 0.149642i
\(37\) −6.94087 + 7.70862i −1.14107 + 1.26729i −0.182260 + 0.983250i \(0.558341\pi\)
−0.958813 + 0.284039i \(0.908326\pi\)
\(38\) 7.52231 0.790627i 1.22028 0.128257i
\(39\) −0.514154 + 1.31923i −0.0823305 + 0.211246i
\(40\) −2.40545 2.16588i −0.380335 0.342455i
\(41\) 0.935825 2.88017i 0.146151 0.449807i −0.851006 0.525156i \(-0.824007\pi\)
0.997157 + 0.0753487i \(0.0240070\pi\)
\(42\) 2.72770 3.68234i 0.420894 0.568197i
\(43\) 3.41292i 0.520465i 0.965546 + 0.260233i \(0.0837993\pi\)
−0.965546 + 0.260233i \(0.916201\pi\)
\(44\) 1.89573 2.72143i 0.285792 0.410271i
\(45\) −0.916300 9.66722i −0.136594 1.44110i
\(46\) 3.47121 + 7.79646i 0.511802 + 1.14953i
\(47\) −0.0447524 0.210543i −0.00652780 0.0307109i 0.974763 0.223242i \(-0.0716639\pi\)
−0.981291 + 0.192531i \(0.938331\pi\)
\(48\) 1.70932 + 0.279689i 0.246719 + 0.0403696i
\(49\) −0.0578104 + 6.99976i −0.00825863 + 0.999966i
\(50\) 4.43115 3.21942i 0.626659 0.455294i
\(51\) −0.209584 0.554436i −0.0293477 0.0776365i
\(52\) 0.607492 0.546988i 0.0842439 0.0758536i
\(53\) 3.55891 + 7.99344i 0.488854 + 1.09798i 0.974614 + 0.223891i \(0.0718761\pi\)
−0.485760 + 0.874092i \(0.661457\pi\)
\(54\) 3.20777 + 4.08781i 0.436522 + 0.556281i
\(55\) 7.34059 + 7.83358i 0.989805 + 1.05628i
\(56\) −2.36232 + 1.19140i −0.315678 + 0.159208i
\(57\) −5.88792 11.7031i −0.779875 1.55012i
\(58\) −10.0765 + 2.14184i −1.32312 + 0.281237i
\(59\) 1.67693 7.88931i 0.218317 1.02710i −0.723331 0.690502i \(-0.757390\pi\)
0.941648 0.336599i \(-0.109277\pi\)
\(60\) −2.03586 + 5.22368i −0.262829 + 0.674374i
\(61\) −3.55390 + 7.98220i −0.455031 + 1.02202i 0.529740 + 0.848160i \(0.322289\pi\)
−0.984771 + 0.173856i \(0.944377\pi\)
\(62\) 0.734104 + 2.25934i 0.0932314 + 0.286937i
\(63\) −7.63654 2.16410i −0.962113 0.272650i
\(64\) −0.809017 0.587785i −0.101127 0.0734732i
\(65\) 1.32300 + 2.29150i 0.164098 + 0.284226i
\(66\) −5.57018 1.40467i −0.685642 0.172903i
\(67\) 0.231946 0.401742i 0.0283367 0.0490807i −0.851509 0.524340i \(-0.824312\pi\)
0.879846 + 0.475259i \(0.157646\pi\)
\(68\) −0.0357707 + 0.340336i −0.00433784 + 0.0412718i
\(69\) 10.5056 10.3988i 1.26472 1.25187i
\(70\) −2.18232 8.28118i −0.260838 0.989790i
\(71\) 5.68447 + 7.82400i 0.674623 + 0.928538i 0.999854 0.0170961i \(-0.00544213\pi\)
−0.325231 + 0.945635i \(0.605442\pi\)
\(72\) −0.593719 2.94066i −0.0699705 0.346560i
\(73\) −0.978446 + 4.60323i −0.114518 + 0.538767i 0.883063 + 0.469255i \(0.155478\pi\)
−0.997581 + 0.0695119i \(0.977856\pi\)
\(74\) −6.94087 7.70862i −0.806860 0.896109i
\(75\) −7.92979 5.20746i −0.915653 0.601305i
\(76\) 7.56375i 0.867621i
\(77\) 8.14158 3.27332i 0.927819 0.373030i
\(78\) −1.25826 0.649234i −0.142470 0.0735113i
\(79\) 5.51601 + 0.579756i 0.620600 + 0.0652277i 0.409610 0.912261i \(-0.365665\pi\)
0.210990 + 0.977488i \(0.432331\pi\)
\(80\) 2.40545 2.16588i 0.268937 0.242152i
\(81\) 4.65833 7.70065i 0.517592 0.855627i
\(82\) 2.76657 + 1.23176i 0.305517 + 0.136025i
\(83\) −9.95773 + 7.23471i −1.09300 + 0.794113i −0.979904 0.199471i \(-0.936078\pi\)
−0.113099 + 0.993584i \(0.536078\pi\)
\(84\) 3.37704 + 3.09767i 0.368466 + 0.337984i
\(85\) −1.05347 0.342293i −0.114265 0.0371269i
\(86\) −3.39422 0.356747i −0.366008 0.0384690i
\(87\) 9.64142 + 15.0139i 1.03367 + 1.60965i
\(88\) 2.50837 + 2.16981i 0.267393 + 0.231303i
\(89\) 1.11328 0.642752i 0.118007 0.0681316i −0.439835 0.898079i \(-0.644963\pi\)
0.557842 + 0.829947i \(0.311630\pi\)
\(90\) 9.71004 + 0.0992200i 1.02353 + 0.0104587i
\(91\) 2.13755 0.329512i 0.224076 0.0345423i
\(92\) −8.11659 + 2.63724i −0.846213 + 0.274951i
\(93\) 3.21089 2.57308i 0.332954 0.266816i
\(94\) 0.214068 0.0224994i 0.0220794 0.00232064i
\(95\) −23.9477 5.09024i −2.45698 0.522248i
\(96\) −0.456829 + 1.67072i −0.0466249 + 0.170517i
\(97\) −8.33580 6.05631i −0.846372 0.614926i 0.0777710 0.996971i \(-0.475220\pi\)
−0.924143 + 0.382046i \(0.875220\pi\)
\(98\) −6.95537 0.789168i −0.702599 0.0797180i
\(99\) 1.13563 + 9.88485i 0.114135 + 0.993465i
\(100\) 2.73860 + 4.74339i 0.273860 + 0.474339i
\(101\) 8.89693 3.96117i 0.885277 0.394151i 0.0868354 0.996223i \(-0.472325\pi\)
0.798442 + 0.602072i \(0.205658\pi\)
\(102\) 0.573306 0.150482i 0.0567657 0.0148999i
\(103\) 0.869455 0.965628i 0.0856700 0.0951461i −0.698786 0.715331i \(-0.746276\pi\)
0.784456 + 0.620185i \(0.212943\pi\)
\(104\) 0.480491 + 0.661339i 0.0471160 + 0.0648497i
\(105\) −12.0803 + 8.60745i −1.17891 + 0.840001i
\(106\) −8.32166 + 2.70387i −0.808271 + 0.262623i
\(107\) 1.19877 0.254807i 0.115890 0.0246331i −0.149602 0.988746i \(-0.547799\pi\)
0.265491 + 0.964113i \(0.414466\pi\)
\(108\) −4.40072 + 2.76291i −0.423460 + 0.265861i
\(109\) −6.46864 3.73467i −0.619583 0.357716i 0.157124 0.987579i \(-0.449778\pi\)
−0.776707 + 0.629862i \(0.783111\pi\)
\(110\) −8.55797 + 6.48154i −0.815970 + 0.617991i
\(111\) −8.23830 + 15.9664i −0.781945 + 1.51546i
\(112\) −0.937945 2.47392i −0.0886275 0.233763i
\(113\) −3.09954 1.00710i −0.291580 0.0947401i 0.159575 0.987186i \(-0.448988\pi\)
−0.451155 + 0.892446i \(0.648988\pi\)
\(114\) 12.2545 4.63236i 1.14774 0.433860i
\(115\) −2.88752 27.4729i −0.269262 2.56186i
\(116\) −1.07682 10.2452i −0.0999799 0.951246i
\(117\) −0.281251 + 2.43620i −0.0260016 + 0.225227i
\(118\) 7.67081 + 2.49240i 0.706155 + 0.229444i
\(119\) −0.572690 + 0.701272i −0.0524984 + 0.0642855i
\(120\) −4.98226 2.57074i −0.454816 0.234675i
\(121\) −7.67960 7.87552i −0.698145 0.715956i
\(122\) −7.56699 4.36880i −0.685083 0.395533i
\(123\) 0.301277 5.23667i 0.0271652 0.472175i
\(124\) −2.32370 + 0.493917i −0.208674 + 0.0443551i
\(125\) −1.46903 + 0.477316i −0.131394 + 0.0426924i
\(126\) 2.95048 7.36849i 0.262849 0.656438i
\(127\) −0.0904237 0.124458i −0.00802380 0.0110438i 0.804986 0.593293i \(-0.202173\pi\)
−0.813010 + 0.582250i \(0.802173\pi\)
\(128\) 0.669131 0.743145i 0.0591433 0.0656853i
\(129\) 1.50078 + 5.71767i 0.132136 + 0.503413i
\(130\) −2.41724 + 1.07622i −0.212006 + 0.0943911i
\(131\) 0.324060 + 0.561288i 0.0283132 + 0.0490400i 0.879835 0.475280i \(-0.157653\pi\)
−0.851522 + 0.524320i \(0.824320\pi\)
\(132\) 1.97921 5.39284i 0.172269 0.469386i
\(133\) −10.9684 + 16.7382i −0.951082 + 1.45138i
\(134\) 0.375297 + 0.272669i 0.0324207 + 0.0235550i
\(135\) −5.78609 15.7926i −0.497987 1.35921i
\(136\) −0.334732 0.0711496i −0.0287031 0.00610103i
\(137\) −12.7384 + 1.33886i −1.08832 + 0.114387i −0.631651 0.775253i \(-0.717623\pi\)
−0.456664 + 0.889639i \(0.650956\pi\)
\(138\) 9.24369 + 11.5350i 0.786875 + 0.981925i
\(139\) −7.13507 + 2.31833i −0.605189 + 0.196638i −0.595553 0.803316i \(-0.703067\pi\)
−0.00963571 + 0.999954i \(0.503067\pi\)
\(140\) 8.46393 1.30475i 0.715332 0.110271i
\(141\) −0.167557 0.333044i −0.0141108 0.0280474i
\(142\) −8.37533 + 4.83550i −0.702842 + 0.405786i
\(143\) −1.40202 2.32056i −0.117243 0.194055i
\(144\) 2.98661 0.283084i 0.248885 0.0235903i
\(145\) 33.1623 + 3.48550i 2.75398 + 0.289455i
\(146\) −4.47574 1.45425i −0.370414 0.120355i
\(147\) 2.98119 + 11.7521i 0.245884 + 0.969299i
\(148\) 8.39191 6.09708i 0.689811 0.501177i
\(149\) 15.5155 + 6.90795i 1.27108 + 0.565921i 0.927718 0.373282i \(-0.121768\pi\)
0.343362 + 0.939203i \(0.388434\pi\)
\(150\) 6.00782 7.34202i 0.490536 0.599474i
\(151\) 6.00096 5.40329i 0.488351 0.439713i −0.387805 0.921742i \(-0.626766\pi\)
0.876156 + 0.482028i \(0.160100\pi\)
\(152\) −7.52231 0.790627i −0.610140 0.0641283i
\(153\) −0.594921 0.836685i −0.0480965 0.0676420i
\(154\) 2.40436 + 8.43914i 0.193749 + 0.680045i
\(155\) 7.68950i 0.617635i
\(156\) 0.777202 1.18350i 0.0622259 0.0947562i
\(157\) 8.78714 + 9.75911i 0.701290 + 0.778862i 0.983581 0.180467i \(-0.0577609\pi\)
−0.282291 + 0.959329i \(0.591094\pi\)
\(158\) −1.15316 + 5.42519i −0.0917405 + 0.431605i
\(159\) 9.47724 + 11.8264i 0.751594 + 0.937898i
\(160\) 1.90257 + 2.61867i 0.150412 + 0.207024i
\(161\) −21.7859 5.93404i −1.71697 0.467668i
\(162\) 7.17153 + 5.43775i 0.563449 + 0.427230i
\(163\) 1.70500 16.2220i 0.133546 1.27061i −0.698382 0.715725i \(-0.746096\pi\)
0.831928 0.554883i \(-0.187237\pi\)
\(164\) −1.51420 + 2.62266i −0.118239 + 0.204796i
\(165\) 15.7424 + 9.89569i 1.22554 + 0.770379i
\(166\) −6.15422 10.6594i −0.477660 0.827331i
\(167\) −1.91262 1.38960i −0.148003 0.107531i 0.511319 0.859391i \(-0.329157\pi\)
−0.659323 + 0.751860i \(0.729157\pi\)
\(168\) −3.43370 + 3.03475i −0.264916 + 0.234136i
\(169\) 3.81072 + 11.7282i 0.293133 + 0.902169i
\(170\) 0.450536 1.01192i 0.0345545 0.0776107i
\(171\) −15.0103 17.0171i −1.14787 1.30133i
\(172\) 0.709586 3.33834i 0.0541054 0.254546i
\(173\) −6.51189 + 1.38414i −0.495089 + 0.105235i −0.448688 0.893688i \(-0.648109\pi\)
−0.0464013 + 0.998923i \(0.514775\pi\)
\(174\) −15.9394 + 8.01922i −1.20836 + 0.607936i
\(175\) −0.818168 + 14.4682i −0.0618477 + 1.09369i
\(176\) −2.42012 + 2.26782i −0.182424 + 0.170943i
\(177\) −0.659848 13.9544i −0.0495972 1.04888i
\(178\) 0.522861 + 1.17437i 0.0391901 + 0.0880225i
\(179\) −4.06109 + 3.65662i −0.303540 + 0.273309i −0.806798 0.590828i \(-0.798801\pi\)
0.503258 + 0.864136i \(0.332135\pi\)
\(180\) −1.11365 + 9.64648i −0.0830067 + 0.719006i
\(181\) −1.64131 + 1.19248i −0.121997 + 0.0886363i −0.647111 0.762396i \(-0.724023\pi\)
0.525113 + 0.851032i \(0.324023\pi\)
\(182\) 0.104272 + 2.16028i 0.00772918 + 0.160131i
\(183\) −2.44381 + 14.9354i −0.180652 + 1.10405i
\(184\) −1.77438 8.34779i −0.130809 0.615408i
\(185\) 13.6565 + 30.6730i 1.00405 + 2.25512i
\(186\) 2.22336 + 3.46227i 0.163024 + 0.253866i
\(187\) 1.08619 + 0.329200i 0.0794304 + 0.0240735i
\(188\) 0.215247i 0.0156985i
\(189\) −13.7451 0.267462i −0.999811 0.0194550i
\(190\) 7.56558 23.2845i 0.548865 1.68923i
\(191\) −11.1358 10.0267i −0.805758 0.725508i 0.159389 0.987216i \(-0.449048\pi\)
−0.965147 + 0.261708i \(0.915714\pi\)
\(192\) −1.61382 0.628965i −0.116467 0.0453916i
\(193\) −4.94152 + 0.519374i −0.355698 + 0.0373854i −0.280693 0.959798i \(-0.590564\pi\)
−0.0750055 + 0.997183i \(0.523897\pi\)
\(194\) 6.89447 7.65708i 0.494994 0.549746i
\(195\) 3.22407 + 3.25719i 0.230881 + 0.233252i
\(196\) 1.51188 6.83478i 0.107991 0.488199i
\(197\) 7.69047 0.547924 0.273962 0.961741i \(-0.411666\pi\)
0.273962 + 0.961741i \(0.411666\pi\)
\(198\) −9.94941 + 0.0961598i −0.707074 + 0.00683378i
\(199\) −11.3793 + 19.7096i −0.806660 + 1.39718i 0.108505 + 0.994096i \(0.465394\pi\)
−0.915165 + 0.403080i \(0.867940\pi\)
\(200\) −5.00367 + 2.22778i −0.353813 + 0.157528i
\(201\) 0.211920 0.775034i 0.0149477 0.0546667i
\(202\) 3.00949 + 9.26224i 0.211747 + 0.651689i
\(203\) 12.4740 24.2336i 0.875501 1.70087i
\(204\) 0.0897307 + 0.585895i 0.00628240 + 0.0410208i
\(205\) −7.28464 6.55912i −0.508781 0.458109i
\(206\) 0.869455 + 0.965628i 0.0605778 + 0.0672785i
\(207\) 13.0273 22.0408i 0.905461 1.53194i
\(208\) −0.707942 + 0.408730i −0.0490869 + 0.0283403i
\(209\) 24.6368 + 4.72682i 1.70416 + 0.326961i
\(210\) −7.29757 12.9138i −0.503580 0.891138i
\(211\) 7.34557 10.1103i 0.505690 0.696022i −0.477495 0.878634i \(-0.658455\pi\)
0.983185 + 0.182612i \(0.0584552\pi\)
\(212\) −1.81921 8.55870i −0.124944 0.587814i
\(213\) 12.9637 + 10.6079i 0.888257 + 0.726842i
\(214\) 0.128105 + 1.21884i 0.00875709 + 0.0833182i
\(215\) 10.0920 + 4.49326i 0.688271 + 0.306438i
\(216\) −2.28777 4.66542i −0.155663 0.317441i
\(217\) −5.85846 2.27665i −0.397698 0.154549i
\(218\) 4.39037 6.04282i 0.297353 0.409272i
\(219\) 0.385006 + 8.14205i 0.0260163 + 0.550189i
\(220\) −5.55149 9.18859i −0.374281 0.619495i
\(221\) 0.242265 + 0.139872i 0.0162965 + 0.00940880i
\(222\) −15.0178 9.86212i −1.00793 0.661902i
\(223\) −0.0735523 + 0.226371i −0.00492543 + 0.0151589i −0.953489 0.301428i \(-0.902537\pi\)
0.948564 + 0.316587i \(0.102537\pi\)
\(224\) 2.55841 0.674212i 0.170941 0.0450477i
\(225\) −15.5747 5.23706i −1.03831 0.349137i
\(226\) 1.32557 2.97729i 0.0881759 0.198046i
\(227\) 21.9051 + 4.65607i 1.45389 + 0.309034i 0.866056 0.499946i \(-0.166647\pi\)
0.587835 + 0.808981i \(0.299980\pi\)
\(228\) 3.32604 + 12.6716i 0.220272 + 0.839194i
\(229\) 0.370449 3.52459i 0.0244800 0.232911i −0.975440 0.220265i \(-0.929308\pi\)
0.999920 0.0126463i \(-0.00402556\pi\)
\(230\) 27.6242 1.82149
\(231\) 12.2002 9.06393i 0.802715 0.596363i
\(232\) 10.3017 0.676337
\(233\) 1.45423 13.8361i 0.0952699 0.906432i −0.837616 0.546260i \(-0.816051\pi\)
0.932886 0.360173i \(-0.117282\pi\)
\(234\) −2.39346 0.534362i −0.156465 0.0349324i
\(235\) −0.681497 0.144857i −0.0444560 0.00944941i
\(236\) −3.28056 + 7.36826i −0.213546 + 0.479633i
\(237\) 9.49592 1.45431i 0.616826 0.0944679i
\(238\) −0.637568 0.642856i −0.0413274 0.0416701i
\(239\) −1.49677 + 4.60660i −0.0968183 + 0.297976i −0.987723 0.156214i \(-0.950071\pi\)
0.890905 + 0.454190i \(0.150071\pi\)
\(240\) 3.07744 4.68625i 0.198648 0.302496i
\(241\) −8.31817 4.80250i −0.535820 0.309356i 0.207563 0.978222i \(-0.433447\pi\)
−0.743383 + 0.668866i \(0.766780\pi\)
\(242\) 8.63511 6.81431i 0.555086 0.438040i
\(243\) 4.41787 14.9493i 0.283406 0.959000i
\(244\) 5.13583 7.06887i 0.328788 0.452538i
\(245\) 20.6223 + 9.38645i 1.31751 + 0.599678i
\(246\) 5.17649 + 0.847008i 0.330041 + 0.0540032i
\(247\) 5.64851 + 2.51488i 0.359406 + 0.160018i
\(248\) −0.248319 2.36260i −0.0157683 0.150025i
\(249\) −13.5008 + 16.4991i −0.855581 + 1.04559i
\(250\) −0.321146 1.51087i −0.0203110 0.0955559i
\(251\) −5.85460 + 8.05816i −0.369539 + 0.508626i −0.952775 0.303676i \(-0.901786\pi\)
0.583237 + 0.812302i \(0.301786\pi\)
\(252\) 7.01972 + 3.70453i 0.442201 + 0.233363i
\(253\) 3.51775 + 28.0856i 0.221159 + 1.76573i
\(254\) 0.133228 0.0769190i 0.00835944 0.00482633i
\(255\) −1.91540 0.110197i −0.119947 0.00690081i
\(256\) 0.669131 + 0.743145i 0.0418207 + 0.0464466i
\(257\) 2.69050 + 2.42254i 0.167829 + 0.151114i 0.748766 0.662835i \(-0.230647\pi\)
−0.580937 + 0.813949i \(0.697314\pi\)
\(258\) −5.84322 + 0.894898i −0.363783 + 0.0557139i
\(259\) 27.4124 1.32314i 1.70332 0.0822159i
\(260\) −0.817658 2.51649i −0.0507090 0.156066i
\(261\) 22.7544 + 20.9131i 1.40846 + 1.29449i
\(262\) −0.592087 + 0.263614i −0.0365793 + 0.0162861i
\(263\) 12.4426 21.5512i 0.767243 1.32890i −0.171810 0.985130i \(-0.554961\pi\)
0.939053 0.343773i \(-0.111705\pi\)
\(264\) 5.15641 + 2.53208i 0.317355 + 0.155839i
\(265\) 28.3221 1.73982
\(266\) −15.5000 12.6579i −0.950363 0.776108i
\(267\) 1.58244 1.56635i 0.0968436 0.0958591i
\(268\) −0.310405 + 0.344739i −0.0189610 + 0.0210583i
\(269\) 13.9906 1.47047i 0.853020 0.0896560i 0.332082 0.943251i \(-0.392249\pi\)
0.520938 + 0.853595i \(0.325582\pi\)
\(270\) 16.3109 4.10362i 0.992648 0.249738i
\(271\) −4.99922 4.50132i −0.303681 0.273436i 0.503174 0.864185i \(-0.332166\pi\)
−0.806855 + 0.590749i \(0.798832\pi\)
\(272\) 0.105749 0.325462i 0.00641197 0.0197340i
\(273\) 3.43614 1.49199i 0.207965 0.0902991i
\(274\) 12.8086i 0.773794i
\(275\) 17.1617 5.95592i 1.03489 0.359155i
\(276\) −12.4380 + 7.98732i −0.748682 + 0.480780i
\(277\) −8.89510 19.9787i −0.534455 1.20040i −0.955938 0.293569i \(-0.905157\pi\)
0.421483 0.906836i \(-0.361510\pi\)
\(278\) −1.55981 7.33832i −0.0935511 0.440123i
\(279\) 4.24774 5.72263i 0.254306 0.342605i
\(280\) 0.412881 + 8.55394i 0.0246744 + 0.511196i
\(281\) −14.4157 + 10.4736i −0.859966 + 0.624802i −0.927876 0.372889i \(-0.878367\pi\)
0.0679094 + 0.997691i \(0.478367\pi\)
\(282\) 0.348734 0.131826i 0.0207668 0.00785015i
\(283\) 1.01500 0.913911i 0.0603355 0.0543264i −0.638411 0.769695i \(-0.720408\pi\)
0.698747 + 0.715369i \(0.253741\pi\)
\(284\) −3.93355 8.83490i −0.233413 0.524255i
\(285\) −42.3580 + 2.00294i −2.50907 + 0.118644i
\(286\) 2.45440 1.15177i 0.145132 0.0681057i
\(287\) −7.15404 + 3.60803i −0.422289 + 0.212975i
\(288\) −0.0306532 + 2.99984i −0.00180626 + 0.176767i
\(289\) 16.5140 3.51015i 0.971409 0.206479i
\(290\) −6.93280 + 32.6163i −0.407108 + 1.91529i
\(291\) −16.6281 6.48061i −0.974759 0.379900i
\(292\) 1.91413 4.29921i 0.112016 0.251592i
\(293\) −6.96394 21.4328i −0.406838 1.25212i −0.919351 0.393438i \(-0.871286\pi\)
0.512514 0.858679i \(-0.328714\pi\)
\(294\) −11.9994 + 1.73642i −0.699817 + 0.101270i
\(295\) −21.1210 15.3453i −1.22971 0.893439i
\(296\) 5.18649 + 8.98326i 0.301458 + 0.522141i
\(297\) 6.24923 + 16.0607i 0.362617 + 0.931938i
\(298\) −8.49192 + 14.7084i −0.491924 + 0.852037i
\(299\) −0.729237 + 6.93823i −0.0421729 + 0.401248i
\(300\) 6.67381 + 6.74236i 0.385313 + 0.389270i
\(301\) 6.41130 6.35857i 0.369541 0.366502i
\(302\) 4.74642 + 6.53288i 0.273126 + 0.375925i
\(303\) 13.1632 10.5484i 0.756204 0.605992i
\(304\) 1.57259 7.39846i 0.0901943 0.424331i
\(305\) 18.9246 + 21.0179i 1.08362 + 1.20348i
\(306\) 0.894288 0.504205i 0.0511230 0.0288235i
\(307\) 6.67932i 0.381209i 0.981667 + 0.190604i \(0.0610447\pi\)
−0.981667 + 0.190604i \(0.938955\pi\)
\(308\) −8.64423 + 1.50906i −0.492551 + 0.0859868i
\(309\) 1.03198 2.00005i 0.0587072 0.113779i
\(310\) 7.64738 + 0.803772i 0.434342 + 0.0456512i
\(311\) −12.6082 + 11.3525i −0.714947 + 0.643741i −0.944104 0.329648i \(-0.893070\pi\)
0.229157 + 0.973390i \(0.426403\pi\)
\(312\) 1.09578 + 0.896654i 0.0620364 + 0.0507630i
\(313\) 7.31049 + 3.25484i 0.413213 + 0.183974i 0.602805 0.797889i \(-0.294050\pi\)
−0.189592 + 0.981863i \(0.560716\pi\)
\(314\) −10.6242 + 7.71890i −0.599556 + 0.435603i
\(315\) −16.4531 + 19.7322i −0.927027 + 1.11178i
\(316\) −5.27494 1.71393i −0.296738 0.0964161i
\(317\) −29.0120 3.04928i −1.62948 0.171265i −0.754794 0.655962i \(-0.772263\pi\)
−0.874682 + 0.484697i \(0.838930\pi\)
\(318\) −12.7523 + 8.18912i −0.715113 + 0.459223i
\(319\) −34.0439 2.89514i −1.90609 0.162097i
\(320\) −2.80319 + 1.61843i −0.156703 + 0.0904727i
\(321\) 1.89626 0.954020i 0.105839 0.0532482i
\(322\) 8.17878 21.0463i 0.455786 1.17286i
\(323\) −2.46171 + 0.799858i −0.136973 + 0.0445053i
\(324\) −6.15759 + 6.56385i −0.342088 + 0.364658i
\(325\) 4.45287 0.468015i 0.247001 0.0259608i
\(326\) 15.9550 + 3.39133i 0.883663 + 0.187828i
\(327\) −12.4792 3.41221i −0.690100 0.188696i
\(328\) −2.45002 1.78004i −0.135280 0.0982865i
\(329\) −0.312136 + 0.476330i −0.0172086 + 0.0262609i
\(330\) −11.4870 + 14.6218i −0.632339 + 0.804902i
\(331\) −11.4886 19.8989i −0.631473 1.09374i −0.987251 0.159172i \(-0.949117\pi\)
0.355778 0.934570i \(-0.384216\pi\)
\(332\) 11.2443 5.00629i 0.617112 0.274756i
\(333\) −6.78066 + 30.3712i −0.371578 + 1.66433i
\(334\) 1.58191 1.75689i 0.0865585 0.0961329i
\(335\) −0.882589 1.21478i −0.0482210 0.0663705i
\(336\) −2.65921 3.73211i −0.145072 0.203603i
\(337\) 6.04442 1.96395i 0.329261 0.106983i −0.139722 0.990191i \(-0.544621\pi\)
0.468982 + 0.883208i \(0.344621\pi\)
\(338\) −12.0623 + 2.56392i −0.656102 + 0.139459i
\(339\) −5.63552 0.324224i −0.306079 0.0176094i
\(340\) 0.959283 + 0.553842i 0.0520244 + 0.0300363i
\(341\) 0.156644 + 7.87746i 0.00848276 + 0.426588i
\(342\) 18.4929 13.1493i 0.999983 0.711033i
\(343\) 13.2570 12.9326i 0.715812 0.698293i
\(344\) 3.24588 + 1.05465i 0.175006 + 0.0568629i
\(345\) −16.9182 44.7556i −0.910847 2.40956i
\(346\) −0.695884 6.62090i −0.0374110 0.355942i
\(347\) 0.566641 + 5.39123i 0.0304189 + 0.289416i 0.999147 + 0.0412922i \(0.0131474\pi\)
−0.968728 + 0.248124i \(0.920186\pi\)
\(348\) −6.30917 16.6903i −0.338207 0.894696i
\(349\) 27.4319 + 8.91318i 1.46840 + 0.477112i 0.930624 0.365977i \(-0.119265\pi\)
0.537775 + 0.843089i \(0.319265\pi\)
\(350\) −14.3034 2.32602i −0.764550 0.124331i
\(351\) 0.600102 + 4.20505i 0.0320311 + 0.224449i
\(352\) −2.00242 2.64392i −0.106730 0.140921i
\(353\) −3.83543 2.21439i −0.204139 0.117860i 0.394445 0.918919i \(-0.370937\pi\)
−0.598585 + 0.801059i \(0.704270\pi\)
\(354\) 13.9469 + 0.802396i 0.741270 + 0.0426469i
\(355\) 30.6195 6.50838i 1.62512 0.345429i
\(356\) −1.22259 + 0.397243i −0.0647970 + 0.0210538i
\(357\) −0.651055 + 1.42667i −0.0344575 + 0.0755076i
\(358\) −3.21209 4.42107i −0.169764 0.233661i
\(359\) −14.7681 + 16.4016i −0.779429 + 0.865644i −0.993808 0.111107i \(-0.964560\pi\)
0.214379 + 0.976751i \(0.431227\pi\)
\(360\) −9.47723 2.11588i −0.499494 0.111517i
\(361\) −34.9068 + 15.5415i −1.83720 + 0.817975i
\(362\) −1.01438 1.75696i −0.0533148 0.0923440i
\(363\) −16.3288 9.81688i −0.857038 0.515253i
\(364\) −2.15935 0.122110i −0.113181 0.00640029i
\(365\) 12.3236 + 8.95363i 0.645048 + 0.468655i
\(366\) −14.5981 3.99159i −0.763055 0.208644i
\(367\) −35.2575 7.49421i −1.84043 0.391194i −0.849722 0.527232i \(-0.823230\pi\)
−0.990704 + 0.136037i \(0.956563\pi\)
\(368\) 8.48754 0.892076i 0.442443 0.0465027i
\(369\) −1.79801 8.90548i −0.0936009 0.463601i
\(370\) −31.9324 + 10.3755i −1.66009 + 0.539395i
\(371\) 8.38542 21.5780i 0.435349 1.12028i
\(372\) −3.67570 + 1.84927i −0.190576 + 0.0958802i
\(373\) −3.89735 + 2.25014i −0.201797 + 0.116508i −0.597494 0.801874i \(-0.703837\pi\)
0.395696 + 0.918381i \(0.370503\pi\)
\(374\) −0.440934 + 1.04583i −0.0228002 + 0.0540787i
\(375\) −2.25117 + 1.44563i −0.116250 + 0.0746520i
\(376\) −0.214068 0.0224994i −0.0110397 0.00116032i
\(377\) −8.00904 2.60229i −0.412487 0.134025i
\(378\) 1.70275 13.6419i 0.0875802 0.701662i
\(379\) 3.49289 2.53773i 0.179418 0.130355i −0.494452 0.869205i \(-0.664631\pi\)
0.673869 + 0.738851i \(0.264631\pi\)
\(380\) 22.3661 + 9.95802i 1.14736 + 0.510836i
\(381\) −0.206215 0.168741i −0.0105647 0.00864488i
\(382\) 11.1358 10.0267i 0.569757 0.513011i
\(383\) −14.4110 1.51465i −0.736366 0.0773952i −0.271081 0.962556i \(-0.587381\pi\)
−0.465284 + 0.885161i \(0.654048\pi\)
\(384\) 0.794209 1.53923i 0.0405293 0.0785486i
\(385\) 1.03952 28.3842i 0.0529787 1.44659i
\(386\) 4.96873i 0.252902i
\(387\) 5.02851 + 8.91887i 0.255614 + 0.453372i
\(388\) 6.89447 + 7.65708i 0.350013 + 0.388729i
\(389\) −3.19123 + 15.0135i −0.161802 + 0.761217i 0.820160 + 0.572135i \(0.193885\pi\)
−0.981961 + 0.189082i \(0.939449\pi\)
\(390\) −3.57635 + 2.86594i −0.181096 + 0.145123i
\(391\) −1.71664 2.36275i −0.0868143 0.119490i
\(392\) 6.63930 + 2.21803i 0.335336 + 0.112027i
\(393\) 0.789716 + 0.797826i 0.0398359 + 0.0402450i
\(394\) −0.803873 + 7.64834i −0.0404986 + 0.385318i
\(395\) 8.97643 15.5476i 0.451653 0.782286i
\(396\) 0.944363 9.90496i 0.0474560 0.497743i
\(397\) −0.394784 0.683786i −0.0198136 0.0343182i 0.855949 0.517061i \(-0.172974\pi\)
−0.875762 + 0.482743i \(0.839641\pi\)
\(398\) −18.4122 13.3772i −0.922918 0.670539i
\(399\) −11.0151 + 32.8646i −0.551443 + 1.64529i
\(400\) −1.69255 5.20913i −0.0846274 0.260456i
\(401\) −3.31210 + 7.43910i −0.165398 + 0.371491i −0.977162 0.212495i \(-0.931841\pi\)
0.811764 + 0.583986i \(0.198508\pi\)
\(402\) 0.748637 + 0.291772i 0.0373386 + 0.0145523i
\(403\) −0.403758 + 1.89953i −0.0201126 + 0.0946224i
\(404\) −9.52608 + 2.02483i −0.473940 + 0.100739i
\(405\) −16.6380 23.9130i −0.826748 1.18825i
\(406\) 22.7970 + 14.9387i 1.13140 + 0.741398i
\(407\) −14.6151 31.1445i −0.724446 1.54378i
\(408\) −0.592065 + 0.0279964i −0.0293116 + 0.00138603i
\(409\) 5.82193 + 13.0763i 0.287876 + 0.646580i 0.998367 0.0571263i \(-0.0181938\pi\)
−0.710491 + 0.703706i \(0.751527\pi\)
\(410\) 7.28464 6.55912i 0.359763 0.323932i
\(411\) −20.7519 + 7.84451i −1.02362 + 0.386941i
\(412\) −1.05122 + 0.763757i −0.0517899 + 0.0376276i
\(413\) −17.9446 + 11.5483i −0.882998 + 0.568255i
\(414\) 20.5583 + 15.2598i 1.01039 + 0.749980i
\(415\) 8.28332 + 38.9699i 0.406612 + 1.91296i
\(416\) −0.332491 0.746787i −0.0163017 0.0366143i
\(417\) −10.9339 + 7.02143i −0.535438 + 0.343841i
\(418\) −7.27617 + 24.0077i −0.355889 + 1.17426i
\(419\) 21.5296i 1.05179i 0.850549 + 0.525895i \(0.176270\pi\)
−0.850549 + 0.525895i \(0.823730\pi\)
\(420\) 13.6059 5.90773i 0.663899 0.288268i
\(421\) −5.39636 + 16.6083i −0.263002 + 0.809438i 0.729144 + 0.684360i \(0.239918\pi\)
−0.992147 + 0.125078i \(0.960082\pi\)
\(422\) 9.28710 + 8.36215i 0.452089 + 0.407063i
\(423\) −0.427159 0.484269i −0.0207692 0.0235460i
\(424\) 8.70198 0.914615i 0.422605 0.0444176i
\(425\) −1.25419 + 1.39292i −0.0608371 + 0.0675664i
\(426\) −11.9049 + 11.7838i −0.576793 + 0.570929i
\(427\) 21.6161 8.19539i 1.04608 0.396603i
\(428\) −1.22555 −0.0592394
\(429\) −3.36923 3.27112i −0.162668 0.157931i
\(430\) −5.52355 + 9.56708i −0.266369 + 0.461365i
\(431\) −13.1022 + 5.83348i −0.631111 + 0.280989i −0.697257 0.716821i \(-0.745596\pi\)
0.0661459 + 0.997810i \(0.478930\pi\)
\(432\) 4.87900 1.78757i 0.234741 0.0860044i
\(433\) −6.81335 20.9693i −0.327429 1.00772i −0.970332 0.241775i \(-0.922271\pi\)
0.642904 0.765947i \(-0.277729\pi\)
\(434\) 2.87656 5.58839i 0.138079 0.268251i
\(435\) 57.0895 8.74334i 2.73723 0.419211i
\(436\) 5.55080 + 4.99796i 0.265835 + 0.239359i
\(437\) −43.1932 47.9709i −2.06621 2.29476i
\(438\) −8.13769 0.468179i −0.388834 0.0223705i
\(439\) 19.4661 11.2388i 0.929066 0.536397i 0.0425501 0.999094i \(-0.486452\pi\)
0.886516 + 0.462698i \(0.153118\pi\)
\(440\) 9.71854 4.56061i 0.463313 0.217418i
\(441\) 10.1622 + 18.3774i 0.483914 + 0.875115i
\(442\) −0.164429 + 0.226317i −0.00782110 + 0.0107648i
\(443\) 2.42894 + 11.4273i 0.115402 + 0.542926i 0.997425 + 0.0717186i \(0.0228483\pi\)
−0.882022 + 0.471207i \(0.843818\pi\)
\(444\) 11.3779 13.9047i 0.539970 0.659886i
\(445\) −0.434941 4.13819i −0.0206182 0.196169i
\(446\) −0.217442 0.0968116i −0.0102962 0.00458416i
\(447\) 29.0308 + 4.75019i 1.37311 + 0.224676i
\(448\) 0.403092 + 2.61486i 0.0190443 + 0.123541i
\(449\) 7.47486 10.2883i 0.352760 0.485533i −0.595354 0.803464i \(-0.702988\pi\)
0.948114 + 0.317931i \(0.102988\pi\)
\(450\) 6.83636 14.9419i 0.322269 0.704370i
\(451\) 7.59632 + 6.57105i 0.357697 + 0.309419i
\(452\) 2.82242 + 1.62952i 0.132755 + 0.0766464i
\(453\) 7.67740 11.6910i 0.360716 0.549289i
\(454\) −6.92027 + 21.2984i −0.324784 + 0.999583i
\(455\) 1.83981 6.75457i 0.0862516 0.316659i
\(456\) −12.9498 + 1.98328i −0.606430 + 0.0928757i
\(457\) −10.4007 + 23.3603i −0.486522 + 1.09275i 0.488887 + 0.872347i \(0.337403\pi\)
−0.975410 + 0.220400i \(0.929264\pi\)
\(458\) 3.46656 + 0.736840i 0.161982 + 0.0344303i
\(459\) −1.36459 1.14009i −0.0636937 0.0532149i
\(460\) −2.88752 + 27.4729i −0.134631 + 1.28093i
\(461\) 12.2540 0.570726 0.285363 0.958420i \(-0.407886\pi\)
0.285363 + 0.958420i \(0.407886\pi\)
\(462\) 7.73901 + 13.0808i 0.360051 + 0.608575i
\(463\) 25.8337 1.20059 0.600296 0.799778i \(-0.295050\pi\)
0.600296 + 0.799778i \(0.295050\pi\)
\(464\) −1.07682 + 10.2452i −0.0499900 + 0.475623i
\(465\) −3.38134 12.8822i −0.156806 0.597399i
\(466\) 13.6083 + 2.89253i 0.630392 + 0.133994i
\(467\) 3.59486 8.07418i 0.166350 0.373629i −0.811065 0.584956i \(-0.801112\pi\)
0.977415 + 0.211327i \(0.0677785\pi\)
\(468\) 0.781619 2.32449i 0.0361304 0.107450i
\(469\) −1.18682 + 0.312762i −0.0548025 + 0.0144420i
\(470\) 0.215299 0.662622i 0.00993101 0.0305645i
\(471\) 19.0125 + 12.4854i 0.876051 + 0.575299i
\(472\) −6.98498 4.03278i −0.321510 0.185624i
\(473\) −10.4303 4.39751i −0.479583 0.202198i
\(474\) 0.453754 + 9.59592i 0.0208416 + 0.440755i
\(475\) −24.3509 + 33.5161i −1.11729 + 1.53782i
\(476\) 0.705978 0.566879i 0.0323585 0.0259829i
\(477\) 21.0777 + 15.6454i 0.965082 + 0.716353i
\(478\) −4.42491 1.97009i −0.202390 0.0901100i
\(479\) −2.29702 21.8547i −0.104954 0.998568i −0.912587 0.408883i \(-0.865919\pi\)
0.807633 0.589685i \(-0.200748\pi\)
\(480\) 4.33890 + 3.55043i 0.198043 + 0.162054i
\(481\) −1.76299 8.29420i −0.0803852 0.378183i
\(482\) 5.64567 7.77060i 0.257153 0.353941i
\(483\) −39.1074 0.361297i −1.77945 0.0164396i
\(484\) 5.87436 + 9.30010i 0.267017 + 0.422732i
\(485\) −28.8830 + 16.6756i −1.31151 + 0.757202i
\(486\) 14.4056 + 5.95630i 0.653453 + 0.270183i
\(487\) 5.51469 + 6.12469i 0.249895 + 0.277536i 0.855021 0.518593i \(-0.173544\pi\)
−0.605126 + 0.796129i \(0.706877\pi\)
\(488\) 6.49331 + 5.84660i 0.293938 + 0.264663i
\(489\) −4.27699 27.9265i −0.193412 1.26288i
\(490\) −11.4906 + 19.5281i −0.519094 + 0.882191i
\(491\) 7.75098 + 23.8551i 0.349797 + 1.07656i 0.958965 + 0.283523i \(0.0915032\pi\)
−0.609169 + 0.793041i \(0.708497\pi\)
\(492\) −1.38346 + 5.05960i −0.0623711 + 0.228104i
\(493\) 3.22056 1.43388i 0.145047 0.0645789i
\(494\) −3.09153 + 5.35469i −0.139095 + 0.240919i
\(495\) 30.7247 + 9.65579i 1.38097 + 0.433996i
\(496\) 2.37561 0.106668
\(497\) 4.10702 25.2553i 0.184225 1.13285i
\(498\) −14.9975 15.1515i −0.672053 0.678955i
\(499\) 0.288641 0.320569i 0.0129214 0.0143506i −0.736650 0.676275i \(-0.763593\pi\)
0.749571 + 0.661924i \(0.230260\pi\)
\(500\) 1.53616 0.161457i 0.0686994 0.00722059i
\(501\) −3.81528 1.48696i −0.170454 0.0664323i
\(502\) −7.40204 6.66483i −0.330369 0.297466i
\(503\) 1.19724 3.68472i 0.0533822 0.164294i −0.920811 0.390009i \(-0.872472\pi\)
0.974193 + 0.225715i \(0.0724719\pi\)
\(504\) −4.41800 + 6.59404i −0.196793 + 0.293722i
\(505\) 31.5234i 1.40277i
\(506\) −28.2994 + 0.562738i −1.25806 + 0.0250167i
\(507\) 11.5414 + 17.9726i 0.512572 + 0.798189i
\(508\) 0.0625715 + 0.140538i 0.00277616 + 0.00623536i
\(509\) 4.37054 + 20.5618i 0.193721 + 0.911385i 0.962376 + 0.271722i \(0.0875930\pi\)
−0.768655 + 0.639664i \(0.779074\pi\)
\(510\) 0.309807 1.89339i 0.0137185 0.0838406i
\(511\) 10.4703 6.73817i 0.463177 0.298079i
\(512\) −0.809017 + 0.587785i −0.0357538 + 0.0259767i
\(513\) −32.6298 21.9083i −1.44064 0.967274i
\(514\) −2.69050 + 2.42254i −0.118673 + 0.106854i
\(515\) −1.71069 3.84228i −0.0753822 0.169311i
\(516\) −0.279213 5.90475i −0.0122917 0.259942i
\(517\) 0.701106 + 0.134515i 0.0308346 + 0.00591595i
\(518\) −1.54948 + 27.4005i −0.0680804 + 1.20391i
\(519\) −10.3007 + 5.18236i −0.452151 + 0.227480i
\(520\) 2.58818 0.550134i 0.113499 0.0241250i
\(521\) 2.37851 11.1900i 0.104204 0.490243i −0.894834 0.446399i \(-0.852706\pi\)
0.999038 0.0438437i \(-0.0139604\pi\)
\(522\) −23.1770 + 20.4437i −1.01443 + 0.894797i
\(523\) 1.86989 4.19985i 0.0817647 0.183647i −0.868037 0.496500i \(-0.834618\pi\)
0.949801 + 0.312854i \(0.101285\pi\)
\(524\) −0.200280 0.616399i −0.00874927 0.0269275i
\(525\) 4.99149 + 24.5984i 0.217846 + 1.07356i
\(526\) 20.1325 + 14.6271i 0.877820 + 0.637774i
\(527\) −0.406480 0.704044i −0.0177065 0.0306686i
\(528\) −3.05720 + 4.86349i −0.133047 + 0.211656i
\(529\) 24.9170 43.1576i 1.08335 1.87642i
\(530\) −2.96047 + 28.1670i −0.128595 + 1.22350i
\(531\) −7.24166 23.0876i −0.314261 1.00192i
\(532\) 14.2088 14.0919i 0.616029 0.610962i
\(533\) 1.45512 + 2.00280i 0.0630281 + 0.0867507i
\(534\) 1.39236 + 1.73750i 0.0602533 + 0.0751888i
\(535\) 0.824772 3.88025i 0.0356580 0.167758i
\(536\) −0.310405 0.344739i −0.0134074 0.0148905i
\(537\) −5.19561 + 7.91175i −0.224207 + 0.341417i
\(538\) 14.0676i 0.606498i
\(539\) −21.3175 9.19579i −0.918211 0.396091i
\(540\) 2.37619 + 16.6505i 0.102255 + 0.716522i
\(541\) 0.757254 + 0.0795906i 0.0325569 + 0.00342187i 0.120793 0.992678i \(-0.461456\pi\)
−0.0882360 + 0.996100i \(0.528123\pi\)
\(542\) 4.99922 4.50132i 0.214735 0.193348i
\(543\) −2.22531 + 2.71950i −0.0954972 + 0.116705i
\(544\) 0.312625 + 0.139190i 0.0134037 + 0.00596770i
\(545\) −19.5597 + 14.2110i −0.837846 + 0.608731i
\(546\) 1.12464 + 3.57327i 0.0481301 + 0.152922i
\(547\) −40.7525 13.2413i −1.74245 0.566156i −0.747297 0.664490i \(-0.768649\pi\)
−0.995153 + 0.0983338i \(0.968649\pi\)
\(548\) 12.7384 + 1.33886i 0.544158 + 0.0571933i
\(549\) 2.47347 + 26.0959i 0.105565 + 1.11374i
\(550\) 4.12941 + 17.6903i 0.176078 + 0.754315i
\(551\) 67.4800 38.9596i 2.87474 1.65973i
\(552\) −6.64343 13.2048i −0.282763 0.562034i
\(553\) −9.18772 11.4422i −0.390701 0.486571i
\(554\) 20.7991 6.75803i 0.883668 0.287121i
\(555\) 36.3667 + 45.3812i 1.54368 + 1.92633i
\(556\) 7.46116 0.784200i 0.316424 0.0332575i
\(557\) 4.21671 + 0.896290i 0.178668 + 0.0379770i 0.296377 0.955071i \(-0.404222\pi\)
−0.117709 + 0.993048i \(0.537555\pi\)
\(558\) 5.24727 + 4.82265i 0.222135 + 0.204159i
\(559\) −2.25710 1.63988i −0.0954651 0.0693594i
\(560\) −8.55024 0.483511i −0.361314 0.0204321i
\(561\) 1.96446 + 0.0738717i 0.0829396 + 0.00311887i
\(562\) −8.90937 15.4315i −0.375819 0.650938i
\(563\) −11.2129 + 4.99229i −0.472566 + 0.210400i −0.629179 0.777260i \(-0.716609\pi\)
0.156614 + 0.987660i \(0.449942\pi\)
\(564\) 0.0946515 + 0.360604i 0.00398555 + 0.0151842i
\(565\) −7.05869 + 7.83947i −0.296962 + 0.329809i
\(566\) 0.802808 + 1.10497i 0.0337445 + 0.0464454i
\(567\) −23.1448 + 5.59613i −0.971992 + 0.235015i
\(568\) 9.19767 2.98850i 0.385926 0.125395i
\(569\) 7.30842 1.55345i 0.306385 0.0651242i −0.0521535 0.998639i \(-0.516608\pi\)
0.358539 + 0.933515i \(0.383275\pi\)
\(570\) 2.43564 42.3353i 0.102018 1.77323i
\(571\) −18.2357 10.5284i −0.763139 0.440599i 0.0672823 0.997734i \(-0.478567\pi\)
−0.830422 + 0.557135i \(0.811901\pi\)
\(572\) 0.888908 + 2.56135i 0.0371671 + 0.107095i
\(573\) −23.0649 11.9010i −0.963550 0.497170i
\(574\) −2.84046 7.49199i −0.118559 0.312709i
\(575\) −44.4562 14.4447i −1.85395 0.602385i
\(576\) −2.98021 0.344054i −0.124175 0.0143356i
\(577\) −1.45448 13.8385i −0.0605508 0.576103i −0.982168 0.188003i \(-0.939798\pi\)
0.921618 0.388099i \(-0.126868\pi\)
\(578\) 1.76474 + 16.7904i 0.0734036 + 0.698389i
\(579\) −8.05014 + 3.04306i −0.334552 + 0.126465i
\(580\) −31.7129 10.3042i −1.31681 0.427857i
\(581\) 32.1428 + 5.22707i 1.33351 + 0.216855i
\(582\) 8.18322 15.8596i 0.339206 0.657404i
\(583\) −29.0144 + 0.576956i −1.20166 + 0.0238951i
\(584\) 4.07557 + 2.35303i 0.168648 + 0.0973692i
\(585\) 6.83359 + 4.03903i 0.282534 + 0.166993i
\(586\) 22.0433 4.68545i 0.910601 0.193554i
\(587\) −23.1830 + 7.53261i −0.956865 + 0.310904i −0.745502 0.666503i \(-0.767790\pi\)
−0.211363 + 0.977408i \(0.567790\pi\)
\(588\) −0.472635 12.1151i −0.0194912 0.499620i
\(589\) −10.5616 14.5368i −0.435185 0.598980i
\(590\) 17.4690 19.4013i 0.719188 0.798739i
\(591\) 12.8839 3.38177i 0.529971 0.139107i
\(592\) −9.47618 + 4.21907i −0.389469 + 0.173403i
\(593\) −5.79259 10.0331i −0.237873 0.412009i 0.722231 0.691652i \(-0.243117\pi\)
−0.960104 + 0.279644i \(0.909784\pi\)
\(594\) −16.6260 + 4.53619i −0.682172 + 0.186122i
\(595\) 1.31970 + 2.61671i 0.0541023 + 0.107275i
\(596\) −13.7402 9.98285i −0.562821 0.408913i
\(597\) −10.3968 + 38.0234i −0.425514 + 1.55619i
\(598\) −6.82399 1.45048i −0.279054 0.0593147i
\(599\) 30.4057 3.19577i 1.24234 0.130576i 0.539541 0.841959i \(-0.318598\pi\)
0.702804 + 0.711384i \(0.251931\pi\)
\(600\) −7.40303 + 5.93249i −0.302227 + 0.242193i
\(601\) 1.56485 0.508449i 0.0638314 0.0207401i −0.276927 0.960891i \(-0.589316\pi\)
0.340759 + 0.940151i \(0.389316\pi\)
\(602\) 5.65357 + 7.04083i 0.230422 + 0.286963i
\(603\) 0.0142198 1.39160i 0.000579075 0.0566705i
\(604\) −6.99323 + 4.03754i −0.284550 + 0.164285i
\(605\) −33.3985 + 12.3402i −1.35784 + 0.501699i
\(606\) 9.11472 + 14.1937i 0.370260 + 0.576578i
\(607\) −43.5859 4.58107i −1.76910 0.185940i −0.836771 0.547553i \(-0.815559\pi\)
−0.932328 + 0.361613i \(0.882226\pi\)
\(608\) 7.19355 + 2.33733i 0.291737 + 0.0947911i
\(609\) 10.2413 46.0839i 0.414998 1.86741i
\(610\) −22.8809 + 16.6239i −0.926420 + 0.673083i
\(611\) 0.160744 + 0.0715677i 0.00650300 + 0.00289532i
\(612\) 0.407964 + 0.942093i 0.0164910 + 0.0380818i
\(613\) 12.1678 10.9560i 0.491455 0.442508i −0.385765 0.922597i \(-0.626062\pi\)
0.877220 + 0.480089i \(0.159396\pi\)
\(614\) −6.64273 0.698179i −0.268079 0.0281762i
\(615\) −15.0882 7.78519i −0.608416 0.313929i
\(616\) −0.597227 8.75462i −0.0240630 0.352734i
\(617\) 25.0813i 1.00974i 0.863197 + 0.504868i \(0.168459\pi\)
−0.863197 + 0.504868i \(0.831541\pi\)
\(618\) 1.88122 + 1.23539i 0.0756737 + 0.0496946i
\(619\) 8.91178 + 9.89753i 0.358195 + 0.397815i 0.895128 0.445809i \(-0.147084\pi\)
−0.536933 + 0.843625i \(0.680417\pi\)
\(620\) −1.59874 + 7.52147i −0.0642068 + 0.302069i
\(621\) 12.1326 42.6535i 0.486864 1.71163i
\(622\) −9.97239 13.7258i −0.399856 0.550355i
\(623\) −3.28157 0.893834i −0.131473 0.0358107i
\(624\) −1.00628 + 0.996053i −0.0402835 + 0.0398740i
\(625\) 2.34000 22.2636i 0.0936001 0.890546i
\(626\) −4.00116 + 6.93022i −0.159919 + 0.276987i
\(627\) 43.3526 2.91479i 1.73133 0.116405i
\(628\) −6.56609 11.3728i −0.262016 0.453824i
\(629\) 2.87180 + 2.08649i 0.114506 + 0.0831936i
\(630\) −17.9043 18.4255i −0.713323 0.734091i
\(631\) 9.77730 + 30.0914i 0.389228 + 1.19792i 0.933366 + 0.358926i \(0.116857\pi\)
−0.544138 + 0.838996i \(0.683143\pi\)
\(632\) 2.25592 5.06688i 0.0897358 0.201550i
\(633\) 7.86019 20.1679i 0.312414 0.801603i
\(634\) 6.06516 28.5343i 0.240878 1.13324i
\(635\) −0.487069 + 0.103530i −0.0193287 + 0.00410845i
\(636\) −6.81128 13.5384i −0.270085 0.536834i
\(637\) −4.60144 3.40156i −0.182316 0.134775i
\(638\) 6.43783 33.5547i 0.254876 1.32845i
\(639\) 26.3827 + 12.0709i 1.04368 + 0.477516i
\(640\) −1.31655 2.95701i −0.0520410 0.116886i
\(641\) 23.8592 21.4829i 0.942382 0.848525i −0.0462420 0.998930i \(-0.514725\pi\)
0.988624 + 0.150405i \(0.0480579\pi\)
\(642\) 0.750581 + 1.98559i 0.0296231 + 0.0783650i
\(643\) −23.4448 + 17.0336i −0.924573 + 0.671741i −0.944658 0.328057i \(-0.893606\pi\)
0.0200853 + 0.999798i \(0.493606\pi\)
\(644\) 20.0761 + 10.3339i 0.791108 + 0.407213i
\(645\) 18.8830 + 3.08975i 0.743519 + 0.121659i
\(646\) −0.538158 2.53183i −0.0211735 0.0996136i
\(647\) 3.26029 + 7.32273i 0.128175 + 0.287886i 0.966222 0.257713i \(-0.0829688\pi\)
−0.838046 + 0.545599i \(0.816302\pi\)
\(648\) −5.88425 6.80997i −0.231155 0.267521i
\(649\) 21.9499 + 15.2902i 0.861609 + 0.600191i
\(650\) 4.47740i 0.175618i
\(651\) −10.8158 1.23791i −0.423905 0.0485176i
\(652\) −5.04050 + 15.5131i −0.197401 + 0.607538i
\(653\) −12.1276 10.9198i −0.474591 0.427324i 0.396806 0.917903i \(-0.370119\pi\)
−0.871397 + 0.490579i \(0.836785\pi\)
\(654\) 4.69795 12.0541i 0.183704 0.471354i
\(655\) 2.08637 0.219287i 0.0815214 0.00856824i
\(656\) 2.02639 2.25053i 0.0791172 0.0878686i
\(657\) 4.22534 + 13.4711i 0.164846 + 0.525557i
\(658\) −0.441093 0.360216i −0.0171956 0.0140427i
\(659\) 14.0817 0.548544 0.274272 0.961652i \(-0.411563\pi\)
0.274272 + 0.961652i \(0.411563\pi\)
\(660\) −13.3410 12.9525i −0.519296 0.504174i
\(661\) −0.268553 + 0.465147i −0.0104455 + 0.0180921i −0.871201 0.490927i \(-0.836658\pi\)
0.860755 + 0.509019i \(0.169992\pi\)
\(662\) 20.9908 9.34570i 0.815830 0.363231i
\(663\) 0.467373 + 0.127795i 0.0181513 + 0.00496315i
\(664\) 3.80351 + 11.7060i 0.147605 + 0.454281i
\(665\) 35.0545 + 54.4703i 1.35935 + 2.11227i
\(666\) −29.4960 9.91817i −1.14295 0.384321i
\(667\) 65.3353 + 58.8282i 2.52979 + 2.27784i
\(668\) 1.58191 + 1.75689i 0.0612061 + 0.0679762i
\(669\) −0.0236793 + 0.411583i −0.000915493 + 0.0159127i
\(670\) 1.30038 0.750775i 0.0502381 0.0290050i
\(671\) −19.8153 21.1461i −0.764961 0.816336i
\(672\) 3.98962 2.25453i 0.153903 0.0869703i
\(673\) 14.8099 20.3840i 0.570879 0.785747i −0.421780 0.906698i \(-0.638594\pi\)
0.992658 + 0.120951i \(0.0385944\pi\)
\(674\) 1.32138 + 6.21660i 0.0508976 + 0.239454i
\(675\) −28.3952 1.92492i −1.09293 0.0740902i
\(676\) −1.28902 12.2642i −0.0495777 0.471700i
\(677\) 18.0474 + 8.03523i 0.693619 + 0.308819i 0.723097 0.690746i \(-0.242718\pi\)
−0.0294781 + 0.999565i \(0.509385\pi\)
\(678\) 0.911520 5.57076i 0.0350067 0.213944i
\(679\) 4.15331 + 26.9426i 0.159389 + 1.03396i
\(680\) −0.651081 + 0.896136i −0.0249678 + 0.0343652i
\(681\) 38.7451 1.83210i 1.48471 0.0702063i
\(682\) −7.85068 0.667632i −0.300618 0.0255650i
\(683\) 6.65609 + 3.84290i 0.254688 + 0.147044i 0.621909 0.783089i \(-0.286357\pi\)
−0.367221 + 0.930134i \(0.619691\pi\)
\(684\) 11.1442 + 19.7661i 0.426111 + 0.755776i
\(685\) −12.8117 + 39.4303i −0.489509 + 1.50655i
\(686\) 11.4760 + 14.5362i 0.438155 + 0.554996i
\(687\) −0.929269 6.06765i −0.0354538 0.231495i
\(688\) −1.38816 + 3.11786i −0.0529231 + 0.118867i
\(689\) −6.99640 1.48713i −0.266542 0.0566552i
\(690\) 46.2789 12.1473i 1.76181 0.462441i
\(691\) −2.49902 + 23.7765i −0.0950670 + 0.904502i 0.838211 + 0.545347i \(0.183602\pi\)
−0.933278 + 0.359156i \(0.883065\pi\)
\(692\) 6.65736 0.253075
\(693\) 16.4533 20.5497i 0.625009 0.780617i
\(694\) −5.42093 −0.205776
\(695\) −2.53834 + 24.1507i −0.0962846 + 0.916087i
\(696\) 17.2584 4.53000i 0.654177 0.171709i
\(697\) −1.01370 0.215469i −0.0383967 0.00816146i
\(698\) −11.7318 + 26.3500i −0.444054 + 0.997362i
\(699\) −3.64793 23.8191i −0.137977 0.900921i
\(700\) 3.80840 13.9819i 0.143944 0.528467i
\(701\) −3.04810 + 9.38108i −0.115125 + 0.354318i −0.991973 0.126449i \(-0.959642\pi\)
0.876848 + 0.480768i \(0.159642\pi\)
\(702\) −4.24474 + 0.157267i −0.160207 + 0.00593567i
\(703\) 67.9471 + 39.2293i 2.56267 + 1.47956i
\(704\) 2.83874 1.71509i 0.106989 0.0646398i
\(705\) −1.20541 + 0.0569992i −0.0453984 + 0.00214672i
\(706\) 2.60317 3.58295i 0.0979715 0.134846i
\(707\) −24.0170 9.33321i −0.903251 0.351012i
\(708\) −2.25585 + 13.7866i −0.0847800 + 0.518133i
\(709\) −29.0678 12.9418i −1.09166 0.486040i −0.219678 0.975572i \(-0.570501\pi\)
−0.871985 + 0.489533i \(0.837167\pi\)
\(710\) 3.27212 + 31.1321i 0.122800 + 1.16837i
\(711\) 15.2690 6.61210i 0.572633 0.247973i
\(712\) −0.267271 1.25741i −0.0100164 0.0471235i
\(713\) 11.9168 16.4021i 0.446290 0.614265i
\(714\) −1.35080 0.796616i −0.0505526 0.0298126i
\(715\) −8.70774 + 1.09065i −0.325651 + 0.0407882i
\(716\) 4.73260 2.73237i 0.176866 0.102113i
\(717\) −0.481868 + 8.37562i −0.0179957 + 0.312793i
\(718\) −14.7681 16.4016i −0.551140 0.612103i
\(719\) −15.1616 13.6516i −0.565433 0.509118i 0.336101 0.941826i \(-0.390892\pi\)
−0.901534 + 0.432708i \(0.857558\pi\)
\(720\) 3.09493 9.20414i 0.115341 0.343018i
\(721\) −3.43384 + 0.165744i −0.127883 + 0.00617264i
\(722\) −11.8076 36.3401i −0.439434 1.35244i
\(723\) −16.0473 4.38784i −0.596804 0.163186i
\(724\) 1.85337 0.825174i 0.0688800 0.0306674i
\(725\) 28.2121 48.8649i 1.04777 1.81479i
\(726\) 11.4699 15.2132i 0.425689 0.564614i
\(727\) −40.2234 −1.49180 −0.745902 0.666055i \(-0.767981\pi\)
−0.745902 + 0.666055i \(0.767981\pi\)
\(728\) 0.347154 2.13475i 0.0128664 0.0791193i
\(729\) 0.827522 26.9873i 0.0306490 0.999530i
\(730\) −10.1928 + 11.3202i −0.377251 + 0.418979i
\(731\) 1.16154 0.122083i 0.0429611 0.00451539i
\(732\) 5.49564 14.1009i 0.203125 0.521184i
\(733\) −23.5631 21.2163i −0.870323 0.783642i 0.107252 0.994232i \(-0.465795\pi\)
−0.977575 + 0.210590i \(0.932462\pi\)
\(734\) 11.1386 34.2810i 0.411132 1.26533i
\(735\) 38.6760 + 6.65682i 1.42659 + 0.245540i
\(736\) 8.53429i 0.314578i
\(737\) 0.928909 + 1.22649i 0.0342168 + 0.0451785i
\(738\) 9.04464 0.857288i 0.332938 0.0315572i
\(739\) −8.26606 18.5659i −0.304072 0.682957i 0.695288 0.718731i \(-0.255277\pi\)
−0.999360 + 0.0357745i \(0.988610\pi\)
\(740\) −6.98079 32.8420i −0.256619 1.20730i
\(741\) 10.5688 + 1.72933i 0.388256 + 0.0635287i
\(742\) 20.5833 + 10.5950i 0.755637 + 0.388955i
\(743\) −8.34886 + 6.06580i −0.306290 + 0.222533i −0.730303 0.683123i \(-0.760621\pi\)
0.424013 + 0.905656i \(0.360621\pi\)
\(744\) −1.45492 3.84887i −0.0533401 0.141106i
\(745\) 40.8537 36.7849i 1.49677 1.34769i
\(746\) −1.83043 4.11121i −0.0670167 0.150522i
\(747\) −15.3628 + 33.5777i −0.562094 + 1.22854i
\(748\) −0.994013 0.547838i −0.0363447 0.0200309i
\(749\) −2.71208 1.77721i −0.0990973 0.0649379i
\(750\) −1.20240 2.38995i −0.0439054 0.0872685i
\(751\) −25.6149 + 5.44462i −0.934702 + 0.198677i −0.649996 0.759938i \(-0.725229\pi\)
−0.284706 + 0.958615i \(0.591896\pi\)
\(752\) 0.0447524 0.210543i 0.00163195 0.00767773i
\(753\) −6.26476 + 16.0743i −0.228301 + 0.585780i
\(754\) 3.42521 7.69315i 0.124739 0.280168i
\(755\) −8.07704 24.8586i −0.293954 0.904696i
\(756\) 13.3892 + 3.11939i 0.486959 + 0.113451i
\(757\) −5.73586 4.16735i −0.208474 0.151465i 0.478649 0.878006i \(-0.341127\pi\)
−0.687123 + 0.726541i \(0.741127\pi\)
\(758\) 2.15873 + 3.73902i 0.0784085 + 0.135807i
\(759\) 18.2435 + 45.5049i 0.662197 + 1.65172i
\(760\) −12.2414 + 21.2027i −0.444041 + 0.769101i
\(761\) 1.49224 14.1977i 0.0540936 0.514666i −0.933606 0.358302i \(-0.883356\pi\)
0.987699 0.156365i \(-0.0499775\pi\)
\(762\) 0.189372 0.187447i 0.00686024 0.00679050i
\(763\) 5.03592 + 19.1096i 0.182312 + 0.691814i
\(764\) 8.80778 + 12.1229i 0.318654 + 0.438590i
\(765\) −3.25733 + 0.657654i −0.117769 + 0.0237775i
\(766\) 3.01271 14.1737i 0.108854 0.512116i
\(767\) 4.41177 + 4.89976i 0.159300 + 0.176920i
\(768\) 1.44778 + 0.950752i 0.0522423 + 0.0343073i
\(769\) 38.5385i 1.38973i −0.719139 0.694866i \(-0.755464\pi\)
0.719139 0.694866i \(-0.244536\pi\)
\(770\) 28.1201 + 4.00078i 1.01338 + 0.144178i
\(771\) 5.57268 + 2.87538i 0.200695 + 0.103554i
\(772\) 4.94152 + 0.519374i 0.177849 + 0.0186927i