Properties

Label 983.2.c.a.2.11
Level $983$
Weight $2$
Character 983.2
Analytic conductor $7.849$
Analytic rank $0$
Dimension $39690$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 983 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 983.c (of order \(491\), degree \(490\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.84929451869\)
Analytic rank: \(0\)
Dimension: \(39690\)
Relative dimension: \(81\) over \(\Q(\zeta_{491})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{491}]$

Embedding invariants

Embedding label 2.11
Character \(\chi\) \(=\) 983.2
Dual form 983.2.c.a.492.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.695622 + 2.07740i) q^{2} +(1.13868 + 0.639727i) q^{3} +(-2.23498 - 1.68580i) q^{4} +(0.512099 - 0.772414i) q^{5} +(-2.12106 + 1.92049i) q^{6} +(1.35903 - 2.99891i) q^{7} +(1.44412 - 0.991043i) q^{8} +(-0.673191 - 1.10528i) q^{9} +O(q^{10})\) \(q+(-0.695622 + 2.07740i) q^{2} +(1.13868 + 0.639727i) q^{3} +(-2.23498 - 1.68580i) q^{4} +(0.512099 - 0.772414i) q^{5} +(-2.12106 + 1.92049i) q^{6} +(1.35903 - 2.99891i) q^{7} +(1.44412 - 0.991043i) q^{8} +(-0.673191 - 1.10528i) q^{9} +(1.24839 + 1.60114i) q^{10} +(-0.552023 - 0.0353687i) q^{11} +(-1.46648 - 3.34937i) q^{12} +(-1.04902 - 1.21206i) q^{13} +(5.28457 + 4.90936i) q^{14} +(1.07725 - 0.551930i) q^{15} +(-0.484076 - 1.69408i) q^{16} +(-1.01282 + 0.447319i) q^{17} +(2.76440 - 0.629627i) q^{18} +(-4.79980 - 3.66880i) q^{19} +(-2.44667 + 0.863036i) q^{20} +(3.46599 - 2.54540i) q^{21} +(0.457474 - 1.12217i) q^{22} +(-0.284930 - 2.68886i) q^{23} +(2.27839 - 0.204639i) q^{24} +(1.61224 + 3.81440i) q^{25} +(3.24765 - 1.33610i) q^{26} +(-0.197328 - 5.60504i) q^{27} +(-8.09298 + 4.41147i) q^{28} +(3.56923 - 5.16548i) q^{29} +(0.397218 + 2.62182i) q^{30} +(-1.32350 - 1.96881i) q^{31} +(7.35544 + 0.329660i) q^{32} +(-0.605951 - 0.393418i) q^{33} +(-0.224718 - 2.41520i) q^{34} +(-1.62045 - 2.58548i) q^{35} +(-0.358716 + 3.60515i) q^{36} +(3.26286 - 0.809335i) q^{37} +(10.9604 - 7.41899i) q^{38} +(-0.419113 - 2.05124i) q^{39} +(-0.0259631 - 1.62297i) q^{40} +(7.94957 + 0.714009i) q^{41} +(2.87679 + 8.97088i) q^{42} +(-1.74946 - 2.39823i) q^{43} +(1.17414 + 1.00965i) q^{44} +(-1.19848 - 0.0460323i) q^{45} +(5.78405 + 1.27852i) q^{46} +(0.279449 + 0.932619i) q^{47} +(0.532542 - 2.23869i) q^{48} +(-2.53180 - 2.88775i) q^{49} +(-9.04554 + 0.695887i) q^{50} +(-1.43944 - 0.138577i) q^{51} +(0.301255 + 4.47737i) q^{52} +(-3.25055 + 2.98124i) q^{53} +(11.7812 + 3.48906i) q^{54} +(-0.310010 + 0.408278i) q^{55} +(-1.00945 - 5.67765i) q^{56} +(-3.11840 - 7.24816i) q^{57} +(8.24794 + 11.0079i) q^{58} +(6.16450 + 0.474245i) q^{59} +(-3.33808 - 0.582479i) q^{60} +(-6.05437 - 5.13918i) q^{61} +(5.01066 - 1.37990i) q^{62} +(-4.22954 + 0.516728i) q^{63} +(-4.53407 + 11.7629i) q^{64} +(-1.47341 + 0.189585i) q^{65} +(1.23880 - 0.985133i) q^{66} +(-2.38391 + 2.04994i) q^{67} +(3.01773 + 0.707667i) q^{68} +(1.39569 - 3.24404i) q^{69} +(6.49829 - 1.56780i) q^{70} +(5.68150 - 4.63803i) q^{71} +(-2.06755 - 0.928999i) q^{72} +(4.40230 + 3.14710i) q^{73} +(-0.588404 + 7.34125i) q^{74} +(-0.604348 + 5.37478i) q^{75} +(4.54260 + 16.2912i) q^{76} +(-0.856284 + 1.60740i) q^{77} +(4.55278 + 0.556218i) q^{78} +(-1.52698 + 0.226349i) q^{79} +(-1.55643 - 0.493630i) q^{80} +(1.57961 - 3.05892i) q^{81} +(-7.01318 + 16.0178i) q^{82} +(-2.08709 + 0.647266i) q^{83} +(-12.0375 - 0.154048i) q^{84} +(-0.173150 + 1.01139i) q^{85} +(6.19906 - 1.96607i) q^{86} +(7.36872 - 3.59850i) q^{87} +(-0.832239 + 0.496001i) q^{88} +(-14.1294 - 9.30267i) q^{89} +(0.929314 - 2.45769i) q^{90} +(-5.06051 + 1.49870i) q^{91} +(-3.89607 + 6.48990i) q^{92} +(-0.247547 - 3.08853i) q^{93} +(-2.13181 - 0.0682237i) q^{94} +(-5.29181 + 1.82864i) q^{95} +(8.16461 + 5.08085i) q^{96} +(-7.04679 + 0.361018i) q^{97} +(7.76018 - 3.25079i) q^{98} +(0.332524 + 0.633951i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 39690 q - 489 q^{2} - 487 q^{3} - 565 q^{4} - 485 q^{5} - 477 q^{6} - 489 q^{7} - 485 q^{8} - 558 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 39690 q - 489 q^{2} - 487 q^{3} - 565 q^{4} - 485 q^{5} - 477 q^{6} - 489 q^{7} - 485 q^{8} - 558 q^{9} - 471 q^{10} - 477 q^{11} - 463 q^{12} - 483 q^{13} - 473 q^{14} - 461 q^{15} - 543 q^{16} - 481 q^{17} - 457 q^{18} - 473 q^{19} - 449 q^{20} - 449 q^{21} - 459 q^{22} - 473 q^{23} - 405 q^{24} - 552 q^{25} - 437 q^{26} - 451 q^{27} - 455 q^{28} - 455 q^{29} - 379 q^{30} - 459 q^{31} - 437 q^{32} - 447 q^{33} - 423 q^{34} - 439 q^{35} - 459 q^{36} - 475 q^{37} - 423 q^{38} - 439 q^{39} - 413 q^{40} - 455 q^{41} - 407 q^{42} - 457 q^{43} - 413 q^{44} - 397 q^{45} - 415 q^{46} - 467 q^{47} - 393 q^{48} - 524 q^{49} - 429 q^{50} - 403 q^{51} - 391 q^{52} - 431 q^{53} - 379 q^{54} - 415 q^{55} - 371 q^{56} - 447 q^{57} - 431 q^{58} - 439 q^{59} - 261 q^{60} - 431 q^{61} - 383 q^{62} - 445 q^{63} - 447 q^{64} - 415 q^{65} - 345 q^{66} - 439 q^{67} - 409 q^{68} - 367 q^{69} - 345 q^{70} - 415 q^{71} - 341 q^{72} - 465 q^{73} - 359 q^{74} - 339 q^{75} - 361 q^{76} - 363 q^{77} - 341 q^{78} - 423 q^{79} - 249 q^{80} - 420 q^{81} - 371 q^{82} - 433 q^{83} - 215 q^{84} - 409 q^{85} - 369 q^{86} - 329 q^{87} - 255 q^{88} - 393 q^{89} - 251 q^{90} - 373 q^{91} - 387 q^{92} - 369 q^{93} - 317 q^{94} - 393 q^{95} - 149 q^{96} - 415 q^{97} - 307 q^{98} - 299 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/983\mathbb{Z}\right)^\times\).

\(n\) \(5\)
\(\chi(n)\) \(e\left(\frac{337}{491}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.695622 + 2.07740i −0.491879 + 1.46894i 0.353836 + 0.935308i \(0.384877\pi\)
−0.845715 + 0.533635i \(0.820825\pi\)
\(3\) 1.13868 + 0.639727i 0.657418 + 0.369347i 0.782368 0.622816i \(-0.214012\pi\)
−0.124950 + 0.992163i \(0.539877\pi\)
\(4\) −2.23498 1.68580i −1.11749 0.842900i
\(5\) 0.512099 0.772414i 0.229018 0.345434i −0.700863 0.713296i \(-0.747201\pi\)
0.929880 + 0.367862i \(0.119910\pi\)
\(6\) −2.12106 + 1.92049i −0.865919 + 0.784035i
\(7\) 1.35903 2.99891i 0.513666 1.13348i −0.456208 0.889873i \(-0.650793\pi\)
0.969873 0.243610i \(-0.0783317\pi\)
\(8\) 1.44412 0.991043i 0.510573 0.350386i
\(9\) −0.673191 1.10528i −0.224397 0.368428i
\(10\) 1.24839 + 1.60114i 0.394774 + 0.506326i
\(11\) −0.552023 0.0353687i −0.166441 0.0106641i −0.0195034 0.999810i \(-0.506209\pi\)
−0.146938 + 0.989146i \(0.546942\pi\)
\(12\) −1.46648 3.34937i −0.423336 0.966879i
\(13\) −1.04902 1.21206i −0.290946 0.336165i 0.591739 0.806130i \(-0.298442\pi\)
−0.882685 + 0.469965i \(0.844266\pi\)
\(14\) 5.28457 + 4.90936i 1.41236 + 1.31208i
\(15\) 1.07725 0.551930i 0.278145 0.142508i
\(16\) −0.484076 1.69408i −0.121019 0.423520i
\(17\) −1.01282 + 0.447319i −0.245646 + 0.108491i −0.523172 0.852227i \(-0.675251\pi\)
0.277526 + 0.960718i \(0.410486\pi\)
\(18\) 2.76440 0.629627i 0.651575 0.148405i
\(19\) −4.79980 3.66880i −1.10115 0.841681i −0.112759 0.993622i \(-0.535969\pi\)
−0.988390 + 0.151941i \(0.951448\pi\)
\(20\) −2.44667 + 0.863036i −0.547092 + 0.192981i
\(21\) 3.46599 2.54540i 0.756341 0.555451i
\(22\) 0.457474 1.12217i 0.0975337 0.239247i
\(23\) −0.284930 2.68886i −0.0594121 0.560667i −0.983807 0.179230i \(-0.942639\pi\)
0.924395 0.381436i \(-0.124570\pi\)
\(24\) 2.27839 0.204639i 0.465074 0.0417717i
\(25\) 1.61224 + 3.81440i 0.322448 + 0.762880i
\(26\) 3.24765 1.33610i 0.636917 0.262031i
\(27\) −0.197328 5.60504i −0.0379758 1.07869i
\(28\) −8.09298 + 4.41147i −1.52943 + 0.833689i
\(29\) 3.56923 5.16548i 0.662790 0.959206i −0.337053 0.941486i \(-0.609430\pi\)
0.999843 0.0177208i \(-0.00564101\pi\)
\(30\) 0.397218 + 2.62182i 0.0725218 + 0.478676i
\(31\) −1.32350 1.96881i −0.237708 0.353609i 0.692005 0.721893i \(-0.256728\pi\)
−0.929713 + 0.368284i \(0.879945\pi\)
\(32\) 7.35544 + 0.329660i 1.30027 + 0.0582761i
\(33\) −0.605951 0.393418i −0.105483 0.0684852i
\(34\) −0.224718 2.41520i −0.0385389 0.414204i
\(35\) −1.62045 2.58548i −0.273905 0.437026i
\(36\) −0.358716 + 3.60515i −0.0597860 + 0.600859i
\(37\) 3.26286 0.809335i 0.536411 0.133054i 0.0368306 0.999322i \(-0.488274\pi\)
0.499580 + 0.866268i \(0.333488\pi\)
\(38\) 10.9604 7.41899i 1.77801 1.20352i
\(39\) −0.419113 2.05124i −0.0671118 0.328461i
\(40\) −0.0259631 1.62297i −0.00410512 0.256614i
\(41\) 7.94957 + 0.714009i 1.24151 + 0.111510i 0.690714 0.723128i \(-0.257296\pi\)
0.550800 + 0.834637i \(0.314323\pi\)
\(42\) 2.87679 + 8.97088i 0.443898 + 1.38424i
\(43\) −1.74946 2.39823i −0.266791 0.365727i 0.653524 0.756905i \(-0.273290\pi\)
−0.920315 + 0.391178i \(0.872068\pi\)
\(44\) 1.17414 + 1.00965i 0.177008 + 0.152210i
\(45\) −1.19848 0.0460323i −0.178658 0.00686209i
\(46\) 5.78405 + 1.27852i 0.852811 + 0.188507i
\(47\) 0.279449 + 0.932619i 0.0407618 + 0.136036i 0.975885 0.218288i \(-0.0700471\pi\)
−0.935123 + 0.354324i \(0.884711\pi\)
\(48\) 0.532542 2.23869i 0.0768657 0.323128i
\(49\) −2.53180 2.88775i −0.361686 0.412535i
\(50\) −9.04554 + 0.695887i −1.27923 + 0.0984133i
\(51\) −1.43944 0.138577i −0.201563 0.0194046i
\(52\) 0.301255 + 4.47737i 0.0417766 + 0.620899i
\(53\) −3.25055 + 2.98124i −0.446497 + 0.409504i −0.867408 0.497598i \(-0.834216\pi\)
0.420911 + 0.907102i \(0.361710\pi\)
\(54\) 11.7812 + 3.48906i 1.60321 + 0.474801i
\(55\) −0.310010 + 0.408278i −0.0418017 + 0.0550522i
\(56\) −1.00945 5.67765i −0.134893 0.758708i
\(57\) −3.11840 7.24816i −0.413043 0.960042i
\(58\) 8.24794 + 11.0079i 1.08301 + 1.44541i
\(59\) 6.16450 + 0.474245i 0.802550 + 0.0617414i 0.471494 0.881870i \(-0.343715\pi\)
0.331057 + 0.943611i \(0.392595\pi\)
\(60\) −3.33808 0.582479i −0.430945 0.0751977i
\(61\) −6.05437 5.13918i −0.775183 0.658005i 0.169669 0.985501i \(-0.445730\pi\)
−0.944853 + 0.327496i \(0.893795\pi\)
\(62\) 5.01066 1.37990i 0.636355 0.175247i
\(63\) −4.22954 + 0.516728i −0.532871 + 0.0651016i
\(64\) −4.53407 + 11.7629i −0.566759 + 1.47036i
\(65\) −1.47341 + 0.189585i −0.182755 + 0.0235151i
\(66\) 1.23880 0.985133i 0.152486 0.121262i
\(67\) −2.38391 + 2.04994i −0.291240 + 0.250440i −0.785481 0.618885i \(-0.787585\pi\)
0.494241 + 0.869325i \(0.335446\pi\)
\(68\) 3.01773 + 0.707667i 0.365954 + 0.0858172i
\(69\) 1.39569 3.24404i 0.168022 0.390536i
\(70\) 6.49829 1.56780i 0.776694 0.187388i
\(71\) 5.68150 4.63803i 0.674270 0.550433i −0.232218 0.972664i \(-0.574598\pi\)
0.906488 + 0.422231i \(0.138753\pi\)
\(72\) −2.06755 0.928999i −0.243663 0.109484i
\(73\) 4.40230 + 3.14710i 0.515250 + 0.368340i 0.809249 0.587466i \(-0.199874\pi\)
−0.293999 + 0.955806i \(0.594986\pi\)
\(74\) −0.588404 + 7.34125i −0.0684006 + 0.853403i
\(75\) −0.604348 + 5.37478i −0.0697841 + 0.620626i
\(76\) 4.54260 + 16.2912i 0.521071 + 1.86873i
\(77\) −0.856284 + 1.60740i −0.0975826 + 0.183180i
\(78\) 4.55278 + 0.556218i 0.515501 + 0.0629793i
\(79\) −1.52698 + 0.226349i −0.171798 + 0.0254663i −0.231977 0.972721i \(-0.574519\pi\)
0.0601786 + 0.998188i \(0.480833\pi\)
\(80\) −1.55643 0.493630i −0.174014 0.0551895i
\(81\) 1.57961 3.05892i 0.175513 0.339880i
\(82\) −7.01318 + 16.0178i −0.774476 + 1.76886i
\(83\) −2.08709 + 0.647266i −0.229088 + 0.0710467i −0.408617 0.912706i \(-0.633989\pi\)
0.179529 + 0.983753i \(0.442543\pi\)
\(84\) −12.0375 0.154048i −1.31339 0.0168081i
\(85\) −0.173150 + 1.01139i −0.0187808 + 0.109701i
\(86\) 6.19906 1.96607i 0.668461 0.212007i
\(87\) 7.36872 3.59850i 0.790009 0.385800i
\(88\) −0.832239 + 0.496001i −0.0887169 + 0.0528739i
\(89\) −14.1294 9.30267i −1.49772 0.986081i −0.992388 0.123154i \(-0.960699\pi\)
−0.505329 0.862927i \(-0.668629\pi\)
\(90\) 0.929314 2.45769i 0.0979583 0.259064i
\(91\) −5.06051 + 1.49870i −0.530486 + 0.157106i
\(92\) −3.89607 + 6.48990i −0.406194 + 0.676619i
\(93\) −0.247547 3.08853i −0.0256694 0.320266i
\(94\) −2.13181 0.0682237i −0.219880 0.00703674i
\(95\) −5.29181 + 1.82864i −0.542928 + 0.187615i
\(96\) 8.16461 + 5.08085i 0.833297 + 0.518562i
\(97\) −7.04679 + 0.361018i −0.715493 + 0.0366558i −0.405516 0.914088i \(-0.632908\pi\)
−0.309977 + 0.950744i \(0.600321\pi\)
\(98\) 7.76018 3.25079i 0.783897 0.328379i
\(99\) 0.332524 + 0.633951i 0.0334199 + 0.0637145i
\(100\) 2.82699 11.2430i 0.282699 1.12430i
\(101\) 13.7618 + 9.97165i 1.36935 + 0.992217i 0.997967 + 0.0637373i \(0.0203020\pi\)
0.371384 + 0.928479i \(0.378883\pi\)
\(102\) 1.28919 2.89390i 0.127649 0.286539i
\(103\) 0.356488 + 0.138722i 0.0351258 + 0.0136687i 0.380144 0.924927i \(-0.375875\pi\)
−0.345018 + 0.938596i \(0.612127\pi\)
\(104\) −2.71611 0.710733i −0.266337 0.0696931i
\(105\) −0.191170 3.98068i −0.0186563 0.388474i
\(106\) −3.93207 8.82650i −0.381916 0.857305i
\(107\) −2.57866 + 12.2213i −0.249289 + 1.18148i 0.655358 + 0.755319i \(0.272518\pi\)
−0.904646 + 0.426163i \(0.859865\pi\)
\(108\) −9.00795 + 12.8598i −0.866790 + 1.23744i
\(109\) 4.02790 + 4.77608i 0.385803 + 0.457465i 0.922322 0.386423i \(-0.126289\pi\)
−0.536519 + 0.843888i \(0.680261\pi\)
\(110\) −0.632507 0.928021i −0.0603072 0.0884833i
\(111\) 4.23311 + 1.16577i 0.401789 + 0.110650i
\(112\) −5.73828 0.850606i −0.542216 0.0803748i
\(113\) −13.6800 6.68060i −1.28690 0.628458i −0.337149 0.941451i \(-0.609463\pi\)
−0.949756 + 0.312993i \(0.898668\pi\)
\(114\) 17.2265 1.43619i 1.61341 0.134512i
\(115\) −2.22283 1.15688i −0.207280 0.107880i
\(116\) −16.6851 + 5.52776i −1.54918 + 0.513239i
\(117\) −0.633476 + 1.97541i −0.0585649 + 0.182627i
\(118\) −5.27336 + 12.4762i −0.485452 + 1.14853i
\(119\) −0.0349869 + 3.64529i −0.00320724 + 0.334163i
\(120\) 1.00870 1.86466i 0.0920809 0.170219i
\(121\) −10.6066 1.36475i −0.964234 0.124068i
\(122\) 14.8877 9.00242i 1.34787 0.815041i
\(123\) 8.59525 + 5.89859i 0.775008 + 0.531858i
\(124\) −0.361013 + 6.63142i −0.0324199 + 0.595519i
\(125\) 8.32614 + 1.56291i 0.744713 + 0.139791i
\(126\) 1.86871 9.14588i 0.166478 0.814780i
\(127\) −1.01544 2.44596i −0.0901060 0.217044i 0.872122 0.489288i \(-0.162743\pi\)
−0.962228 + 0.272244i \(0.912234\pi\)
\(128\) −9.93473 8.21658i −0.878114 0.726250i
\(129\) −0.457864 3.85000i −0.0403127 0.338974i
\(130\) 0.631096 3.19275i 0.0553508 0.280023i
\(131\) 17.1665 + 8.79524i 1.49984 + 0.768443i 0.995473 0.0950446i \(-0.0302994\pi\)
0.504369 + 0.863488i \(0.331725\pi\)
\(132\) 0.691068 + 1.90079i 0.0601497 + 0.165443i
\(133\) −17.5255 + 9.40816i −1.51965 + 0.815791i
\(134\) −2.60024 6.37830i −0.224627 0.551002i
\(135\) −4.43046 2.71792i −0.381314 0.233921i
\(136\) −1.01932 + 1.64973i −0.0874064 + 0.141463i
\(137\) 4.00556 + 7.07657i 0.342218 + 0.604593i 0.987178 0.159624i \(-0.0510281\pi\)
−0.644960 + 0.764216i \(0.723126\pi\)
\(138\) 5.76828 + 5.15604i 0.491029 + 0.438911i
\(139\) −1.54811 + 2.95145i −0.131309 + 0.250339i −0.942334 0.334673i \(-0.891374\pi\)
0.811025 + 0.585011i \(0.198910\pi\)
\(140\) −0.736930 + 8.51025i −0.0622820 + 0.719247i
\(141\) −0.278419 + 1.24073i −0.0234471 + 0.104488i
\(142\) 5.68286 + 15.0291i 0.476895 + 1.26121i
\(143\) 0.536214 + 0.706186i 0.0448405 + 0.0590543i
\(144\) −1.54656 + 1.67548i −0.128880 + 0.139623i
\(145\) −2.16209 5.40217i −0.179552 0.448626i
\(146\) −9.60011 + 6.95614i −0.794511 + 0.575694i
\(147\) −1.03555 4.90789i −0.0854105 0.404796i
\(148\) −8.65681 3.69168i −0.711585 0.303454i
\(149\) −1.81971 7.04610i −0.149076 0.577239i −0.998753 0.0499343i \(-0.984099\pi\)
0.849676 0.527305i \(-0.176797\pi\)
\(150\) −10.7452 4.99429i −0.877339 0.407782i
\(151\) −4.86132 + 1.74983i −0.395608 + 0.142399i −0.528913 0.848676i \(-0.677400\pi\)
0.133305 + 0.991075i \(0.457441\pi\)
\(152\) −10.5674 0.541386i −0.857131 0.0439122i
\(153\) 1.17624 + 0.818325i 0.0950931 + 0.0661576i
\(154\) −2.74357 2.89699i −0.221083 0.233446i
\(155\) −2.19850 + 0.0140670i −0.176588 + 0.00112989i
\(156\) −2.52126 + 5.29102i −0.201862 + 0.423620i
\(157\) 3.36467 + 3.64514i 0.268530 + 0.290914i 0.854535 0.519393i \(-0.173842\pi\)
−0.586005 + 0.810307i \(0.699300\pi\)
\(158\) 0.591979 3.32959i 0.0470954 0.264888i
\(159\) −5.60851 + 1.31521i −0.444784 + 0.104303i
\(160\) 4.02135 5.51263i 0.317916 0.435812i
\(161\) −8.45090 2.79977i −0.666024 0.220653i
\(162\) 5.25579 + 5.40934i 0.412934 + 0.424998i
\(163\) 1.56241 0.398176i 0.122377 0.0311876i −0.185273 0.982687i \(-0.559317\pi\)
0.307650 + 0.951500i \(0.400457\pi\)
\(164\) −16.5635 14.9972i −1.29339 1.17108i
\(165\) −0.614189 + 0.266577i −0.0478145 + 0.0207530i
\(166\) 0.107196 4.78598i 0.00832004 0.371464i
\(167\) 1.52778 + 8.28506i 0.118223 + 0.641117i 0.988819 + 0.149119i \(0.0476437\pi\)
−0.870596 + 0.491998i \(0.836267\pi\)
\(168\) 2.48271 7.11080i 0.191545 0.548610i
\(169\) 1.49642 10.3226i 0.115109 0.794044i
\(170\) −1.98061 1.06325i −0.151906 0.0815474i
\(171\) −0.823886 + 7.77494i −0.0630041 + 0.594564i
\(172\) −0.132925 + 8.30926i −0.0101355 + 0.633575i
\(173\) 5.21747 0.979380i 0.396677 0.0744609i 0.0176448 0.999844i \(-0.494383\pi\)
0.379032 + 0.925383i \(0.376257\pi\)
\(174\) 2.34969 + 17.8110i 0.178129 + 1.35025i
\(175\) 13.6301 + 0.348918i 1.03034 + 0.0263757i
\(176\) 0.207303 + 0.952292i 0.0156261 + 0.0717817i
\(177\) 6.71602 + 4.48362i 0.504807 + 0.337009i
\(178\) 29.1541 22.8813i 2.18519 1.71503i
\(179\) −1.23236 0.592085i −0.0921108 0.0442545i 0.386439 0.922315i \(-0.373705\pi\)
−0.478550 + 0.878060i \(0.658837\pi\)
\(180\) 2.60097 + 2.12327i 0.193865 + 0.158259i
\(181\) 2.45675 + 4.91063i 0.182608 + 0.365004i 0.966808 0.255505i \(-0.0822417\pi\)
−0.784199 + 0.620509i \(0.786926\pi\)
\(182\) 0.406808 11.5552i 0.0301546 0.856531i
\(183\) −3.60633 9.72504i −0.266587 0.718896i
\(184\) −3.07625 3.60066i −0.226784 0.265444i
\(185\) 1.04577 2.93474i 0.0768862 0.215766i
\(186\) 6.58831 + 1.63419i 0.483078 + 0.119825i
\(187\) 0.574922 0.211108i 0.0420425 0.0154377i
\(188\) 0.947646 2.55548i 0.0691142 0.186378i
\(189\) −17.0772 7.02565i −1.24218 0.511041i
\(190\) −0.117720 12.2652i −0.00854028 0.889814i
\(191\) 18.0016 + 9.51587i 1.30255 + 0.688544i 0.967312 0.253589i \(-0.0816112\pi\)
0.335237 + 0.942134i \(0.391183\pi\)
\(192\) −12.6879 + 10.4936i −0.915671 + 0.757312i
\(193\) 10.4276 + 9.93888i 0.750599 + 0.715416i 0.965266 0.261271i \(-0.0841416\pi\)
−0.214667 + 0.976687i \(0.568867\pi\)
\(194\) 4.15192 14.8901i 0.298090 1.06905i
\(195\) −1.79903 0.726707i −0.128831 0.0520406i
\(196\) 0.790377 + 10.7222i 0.0564555 + 0.765870i
\(197\) 10.1366 2.72189i 0.722205 0.193927i 0.120578 0.992704i \(-0.461525\pi\)
0.601627 + 0.798777i \(0.294519\pi\)
\(198\) −1.54828 + 0.249795i −0.110031 + 0.0177522i
\(199\) 12.0821 18.7401i 0.856474 1.32845i −0.0867285 0.996232i \(-0.527641\pi\)
0.943203 0.332217i \(-0.107797\pi\)
\(200\) 6.10850 + 3.91065i 0.431936 + 0.276525i
\(201\) −4.02591 + 0.809175i −0.283966 + 0.0570748i
\(202\) −30.2881 + 21.6523i −2.13106 + 1.52345i
\(203\) −10.6401 17.7239i −0.746792 1.24397i
\(204\) 2.98352 + 2.73633i 0.208888 + 0.191582i
\(205\) 4.62248 5.77472i 0.322848 0.403324i
\(206\) −0.536161 + 0.644069i −0.0373561 + 0.0448744i
\(207\) −2.78014 + 2.12505i −0.193233 + 0.147701i
\(208\) −1.54552 + 2.36385i −0.107162 + 0.163904i
\(209\) 2.51984 + 2.19502i 0.174301 + 0.151833i
\(210\) 8.40244 + 2.37191i 0.579823 + 0.163677i
\(211\) −1.75134 10.6386i −0.120567 0.732390i −0.976535 0.215360i \(-0.930907\pi\)
0.855968 0.517029i \(-0.172962\pi\)
\(212\) 12.2907 1.18324i 0.844128 0.0812651i
\(213\) 9.43649 1.64662i 0.646578 0.112825i
\(214\) −23.5948 13.8583i −1.61291 0.947337i
\(215\) −2.74833 + 0.123176i −0.187435 + 0.00840053i
\(216\) −5.83980 7.89878i −0.397348 0.537444i
\(217\) −7.70298 + 1.29340i −0.522912 + 0.0878017i
\(218\) −12.7237 + 5.04521i −0.861759 + 0.341705i
\(219\) 2.99953 + 6.39981i 0.202689 + 0.432459i
\(220\) 1.38114 0.389880i 0.0931165 0.0262857i
\(221\) 1.60465 + 0.758354i 0.107940 + 0.0510124i
\(222\) −5.36640 + 7.98292i −0.360169 + 0.535779i
\(223\) 4.09056 5.53280i 0.273924 0.370504i −0.645507 0.763754i \(-0.723354\pi\)
0.919432 + 0.393250i \(0.128649\pi\)
\(224\) 10.9849 21.6103i 0.733959 1.44390i
\(225\) 3.13064 4.34980i 0.208710 0.289987i
\(226\) 23.3944 23.7716i 1.55617 1.58126i
\(227\) −3.53720 5.97846i −0.234772 0.396804i 0.720078 0.693894i \(-0.244106\pi\)
−0.954850 + 0.297090i \(0.903984\pi\)
\(228\) −5.24936 + 21.4565i −0.347648 + 1.42099i
\(229\) −0.329601 + 1.51409i −0.0217807 + 0.100054i −0.986725 0.162401i \(-0.948076\pi\)
0.964944 + 0.262455i \(0.0845323\pi\)
\(230\) 3.94955 3.81295i 0.260426 0.251419i
\(231\) −2.00333 + 1.28253i −0.131810 + 0.0843843i
\(232\) 0.0351810 10.9968i 0.00230974 0.721978i
\(233\) 9.68330 5.94032i 0.634374 0.389164i −0.168169 0.985758i \(-0.553785\pi\)
0.802543 + 0.596595i \(0.203480\pi\)
\(234\) −3.66306 2.69012i −0.239462 0.175859i
\(235\) 0.863474 + 0.261743i 0.0563268 + 0.0170743i
\(236\) −12.9781 11.4521i −0.844801 0.745465i
\(237\) −1.88354 0.719108i −0.122349 0.0467111i
\(238\) −7.54838 2.60842i −0.489289 0.169079i
\(239\) −15.1757 18.7119i −0.981636 1.21037i −0.977620 0.210379i \(-0.932530\pi\)
−0.00401613 0.999992i \(-0.501278\pi\)
\(240\) −1.45648 1.55778i −0.0940157 0.100554i
\(241\) −15.2276 0.0974329i −0.980895 0.00627620i −0.484872 0.874585i \(-0.661134\pi\)
−0.496024 + 0.868309i \(0.665207\pi\)
\(242\) 10.2133 21.0847i 0.656536 1.35538i
\(243\) −10.2976 + 6.77983i −0.660591 + 0.434926i
\(244\) 4.86779 + 21.6925i 0.311628 + 1.38872i
\(245\) −3.52707 + 0.476790i −0.225336 + 0.0304610i
\(246\) −18.2328 + 13.7526i −1.16248 + 0.876833i
\(247\) 0.588284 + 9.66629i 0.0374316 + 0.615051i
\(248\) −3.86247 1.53155i −0.245267 0.0972534i
\(249\) −2.79061 0.598140i −0.176847 0.0379056i
\(250\) −9.03864 + 16.2095i −0.571654 + 1.02518i
\(251\) 7.67118 25.6014i 0.484201 1.61595i −0.272478 0.962162i \(-0.587843\pi\)
0.756679 0.653787i \(-0.226821\pi\)
\(252\) 10.3240 + 5.97528i 0.650353 + 0.376407i
\(253\) 0.0621866 + 1.49439i 0.00390964 + 0.0939516i
\(254\) 5.78760 0.408016i 0.363146 0.0256012i
\(255\) −0.844177 + 1.04088i −0.0528644 + 0.0651826i
\(256\) 2.57345 1.60146i 0.160840 0.100091i
\(257\) −2.07211 + 1.44160i −0.129255 + 0.0899243i −0.633953 0.773371i \(-0.718569\pi\)
0.504699 + 0.863296i \(0.331604\pi\)
\(258\) 8.31649 + 1.72698i 0.517762 + 0.107517i
\(259\) 2.00720 10.8849i 0.124721 0.676358i
\(260\) 3.61266 + 2.06016i 0.224047 + 0.127766i
\(261\) −8.11209 0.467654i −0.502126 0.0289470i
\(262\) −30.2126 + 29.5435i −1.86654 + 1.82520i
\(263\) −2.08809 8.53496i −0.128757 0.526288i −0.999409 0.0343876i \(-0.989052\pi\)
0.870652 0.491900i \(-0.163698\pi\)
\(264\) −1.26496 + 0.0323817i −0.0778529 + 0.00199296i
\(265\) 0.638147 + 4.03746i 0.0392010 + 0.248019i
\(266\) −7.35339 42.9520i −0.450865 2.63356i
\(267\) −10.1377 19.6318i −0.620420 1.20144i
\(268\) 8.78377 0.562785i 0.536554 0.0343776i
\(269\) −7.06259 7.95228i −0.430614 0.484859i 0.491994 0.870599i \(-0.336268\pi\)
−0.922608 + 0.385739i \(0.873946\pi\)
\(270\) 8.72813 7.31320i 0.531177 0.445067i
\(271\) −22.9941 + 0.441428i −1.39679 + 0.0268149i −0.712132 0.702045i \(-0.752270\pi\)
−0.684662 + 0.728860i \(0.740050\pi\)
\(272\) 1.24808 + 1.49927i 0.0756758 + 0.0909064i
\(273\) −6.72107 1.53081i −0.406778 0.0926488i
\(274\) −17.4872 + 3.39853i −1.05644 + 0.205313i
\(275\) −0.755083 2.16266i −0.0455332 0.130413i
\(276\) −8.58815 + 4.89750i −0.516946 + 0.294795i
\(277\) 10.3159 5.11975i 0.619821 0.307616i −0.107193 0.994238i \(-0.534186\pi\)
0.727014 + 0.686622i \(0.240907\pi\)
\(278\) −5.05443 5.26914i −0.303145 0.316022i
\(279\) −1.28512 + 2.78823i −0.0769382 + 0.166927i
\(280\) −4.90244 2.12781i −0.292977 0.127161i
\(281\) 9.39793 + 20.7380i 0.560633 + 1.23712i 0.948900 + 0.315578i \(0.102198\pi\)
−0.388266 + 0.921547i \(0.626926\pi\)
\(282\) −2.38381 1.44146i −0.141954 0.0858379i
\(283\) −6.31380 5.02094i −0.375317 0.298464i 0.416604 0.909088i \(-0.363220\pi\)
−0.791921 + 0.610624i \(0.790919\pi\)
\(284\) −20.5168 + 0.788032i −1.21745 + 0.0467611i
\(285\) −7.19551 1.30308i −0.426225 0.0771876i
\(286\) −1.84003 + 0.622693i −0.108803 + 0.0368206i
\(287\) 12.9450 22.8697i 0.764117 1.34996i
\(288\) −4.58725 8.35176i −0.270306 0.492132i
\(289\) −10.6247 + 11.6592i −0.624985 + 0.685835i
\(290\) 12.7265 0.733667i 0.747323 0.0430824i
\(291\) −8.25500 4.09694i −0.483916 0.240167i
\(292\) −4.53368 14.4551i −0.265313 0.845921i
\(293\) 7.65047 2.00192i 0.446945 0.116953i −0.0228302 0.999739i \(-0.507268\pi\)
0.469775 + 0.882786i \(0.344335\pi\)
\(294\) 10.9160 + 1.26279i 0.636633 + 0.0736472i
\(295\) 3.52315 4.51869i 0.205126 0.263088i
\(296\) 3.90987 4.40241i 0.227257 0.255885i
\(297\) −0.0893130 + 3.10109i −0.00518247 + 0.179943i
\(298\) 15.9034 + 1.12116i 0.921258 + 0.0649472i
\(299\) −2.96016 + 3.16603i −0.171191 + 0.183096i
\(300\) 10.4115 10.9937i 0.601109 0.634723i
\(301\) −9.56968 + 1.98721i −0.551587 + 0.114541i
\(302\) −0.253458 11.3161i −0.0145849 0.651169i
\(303\) 9.29117 + 20.1583i 0.533764 + 1.15807i
\(304\) −3.89178 + 9.90722i −0.223209 + 0.568218i
\(305\) −7.07002 + 2.04471i −0.404828 + 0.117080i
\(306\) −2.51820 + 1.87427i −0.143956 + 0.107145i
\(307\) −15.7131 + 15.5630i −0.896795 + 0.888229i −0.994258 0.107010i \(-0.965872\pi\)
0.0974631 + 0.995239i \(0.468927\pi\)
\(308\) 4.62354 2.14899i 0.263451 0.122450i
\(309\) 0.317182 + 0.386015i 0.0180438 + 0.0219596i
\(310\) 1.50010 4.57695i 0.0852002 0.259954i
\(311\) 19.9974 13.3502i 1.13395 0.757023i 0.160749 0.986995i \(-0.448609\pi\)
0.973197 + 0.229972i \(0.0738636\pi\)
\(312\) −2.63811 2.54687i −0.149354 0.144188i
\(313\) 29.8710 + 6.00382i 1.68841 + 0.339356i 0.944396 0.328810i \(-0.106648\pi\)
0.744012 + 0.668166i \(0.232921\pi\)
\(314\) −9.91295 + 4.45412i −0.559420 + 0.251361i
\(315\) −1.76681 + 3.53157i −0.0995487 + 0.198981i
\(316\) 3.79434 + 2.06829i 0.213449 + 0.116350i
\(317\) 12.6358 6.37222i 0.709699 0.357900i −0.0583453 0.998296i \(-0.518582\pi\)
0.768044 + 0.640397i \(0.221230\pi\)
\(318\) 1.16918 12.5660i 0.0655645 0.704667i
\(319\) −2.15299 + 2.72523i −0.120544 + 0.152583i
\(320\) 6.76394 + 9.52596i 0.378116 + 0.532517i
\(321\) −10.7546 + 12.2666i −0.600263 + 0.684653i
\(322\) 11.6949 15.6083i 0.651729 0.869817i
\(323\) 6.50247 + 1.56881i 0.361807 + 0.0872908i
\(324\) −8.68714 + 4.17373i −0.482619 + 0.231874i
\(325\) 2.93200 5.95551i 0.162638 0.330352i
\(326\) −0.259675 + 3.52273i −0.0143821 + 0.195106i
\(327\) 1.53111 + 8.01519i 0.0846703 + 0.443241i
\(328\) 12.1877 6.84725i 0.672956 0.378076i
\(329\) 3.17662 + 0.429416i 0.175133 + 0.0236745i
\(330\) −0.126543 1.46135i −0.00696598 0.0804448i
\(331\) 9.46848 + 3.96641i 0.520435 + 0.218013i 0.630897 0.775867i \(-0.282687\pi\)
−0.110462 + 0.993880i \(0.535233\pi\)
\(332\) 5.75578 + 2.07179i 0.315889 + 0.113704i
\(333\) −3.09107 3.06154i −0.169390 0.167772i
\(334\) −18.2741 2.58946i −0.999916 0.141689i
\(335\) 0.362604 + 2.89113i 0.0198112 + 0.157960i
\(336\) −5.98991 4.63950i −0.326776 0.253106i
\(337\) 6.23596 9.94969i 0.339694 0.541994i −0.632980 0.774168i \(-0.718168\pi\)
0.972674 + 0.232174i \(0.0745839\pi\)
\(338\) 20.4032 + 10.2893i 1.10979 + 0.559662i
\(339\) −11.3034 16.3585i −0.613915 0.888474i
\(340\) 2.09199 1.96854i 0.113454 0.106759i
\(341\) 0.660970 + 1.13364i 0.0357935 + 0.0613900i
\(342\) −15.5785 7.11995i −0.842391 0.385003i
\(343\) 9.95541 3.01777i 0.537542 0.162944i
\(344\) −4.90319 1.72955i −0.264362 0.0932508i
\(345\) −1.79101 2.73932i −0.0964245 0.147480i
\(346\) −1.59482 + 11.5201i −0.0857383 + 0.619322i
\(347\) −18.2925 8.07899i −0.981994 0.433703i −0.150120 0.988668i \(-0.547966\pi\)
−0.831874 + 0.554965i \(0.812732\pi\)
\(348\) −22.5353 4.37959i −1.20802 0.234771i
\(349\) 2.06534 + 14.2471i 0.110555 + 0.762629i 0.968523 + 0.248925i \(0.0800773\pi\)
−0.857968 + 0.513704i \(0.828273\pi\)
\(350\) −10.2063 + 28.0725i −0.545548 + 1.50054i
\(351\) −6.58663 + 6.11897i −0.351568 + 0.326607i
\(352\) −4.04871 0.442132i −0.215797 0.0235657i
\(353\) −2.28745 2.29478i −0.121748 0.122139i 0.644725 0.764415i \(-0.276972\pi\)
−0.766473 + 0.642276i \(0.777990\pi\)
\(354\) −13.9861 + 10.8329i −0.743351 + 0.575765i
\(355\) −0.672985 6.76361i −0.0357183 0.358975i
\(356\) 15.8966 + 44.6107i 0.842518 + 2.36436i
\(357\) −2.37183 + 4.12844i −0.125531 + 0.218500i
\(358\) 2.08725 2.14823i 0.110315 0.113538i
\(359\) 12.5696 6.54189i 0.663397 0.345268i −0.0964795 0.995335i \(-0.530758\pi\)
0.759877 + 0.650067i \(0.225259\pi\)
\(360\) −1.77636 + 1.12127i −0.0936226 + 0.0590959i
\(361\) 4.59191 + 16.8849i 0.241680 + 0.888679i
\(362\) −11.9103 + 1.68770i −0.625991 + 0.0887036i
\(363\) −11.2044 8.33933i −0.588081 0.437702i
\(364\) 13.8367 + 5.18145i 0.725238 + 0.271582i
\(365\) 4.68528 1.78877i 0.245239 0.0936285i
\(366\) 22.7114 0.726827i 1.18715 0.0379919i
\(367\) 1.04980 + 9.33639i 0.0547990 + 0.487355i 0.990798 + 0.135352i \(0.0432165\pi\)
−0.935999 + 0.352004i \(0.885500\pi\)
\(368\) −4.41722 + 1.78431i −0.230264 + 0.0930135i
\(369\) −4.56239 9.26719i −0.237509 0.482430i
\(370\) 5.36917 + 4.21394i 0.279130 + 0.219072i
\(371\) 4.52288 + 13.7997i 0.234816 + 0.716445i
\(372\) −4.65338 + 7.32012i −0.241266 + 0.379531i
\(373\) −1.40590 + 33.7849i −0.0727949 + 1.74932i 0.446555 + 0.894756i \(0.352651\pi\)
−0.519350 + 0.854562i \(0.673826\pi\)
\(374\) 0.0386271 + 1.34119i 0.00199736 + 0.0693515i
\(375\) 8.48098 + 7.10612i 0.437956 + 0.366959i
\(376\) 1.32782 + 1.06987i 0.0684772 + 0.0551742i
\(377\) −10.0051 + 1.09258i −0.515287 + 0.0562709i
\(378\) 26.4744 30.5890i 1.36169 1.57333i
\(379\) 3.93878 + 1.22153i 0.202321 + 0.0627456i 0.395705 0.918378i \(-0.370500\pi\)
−0.193384 + 0.981123i \(0.561946\pi\)
\(380\) 14.9098 + 4.83395i 0.764858 + 0.247976i
\(381\) 0.408483 3.43478i 0.0209272 0.175969i
\(382\) −32.2906 + 30.7770i −1.65213 + 1.57469i
\(383\) 7.05164 + 13.2372i 0.360322 + 0.676391i 0.995374 0.0960790i \(-0.0306302\pi\)
−0.635052 + 0.772470i \(0.719021\pi\)
\(384\) −6.05611 15.7116i −0.309050 0.801778i
\(385\) 0.803078 + 1.48456i 0.0409286 + 0.0756600i
\(386\) −27.9007 + 14.7487i −1.42011 + 0.750688i
\(387\) −1.47301 + 3.54812i −0.0748771 + 0.180361i
\(388\) 16.3580 + 11.0726i 0.830454 + 0.562126i
\(389\) −34.7889 12.7743i −1.76386 0.647681i −0.999997 0.00230773i \(-0.999265\pi\)
−0.763868 0.645373i \(-0.776702\pi\)
\(390\) 2.76111 3.23179i 0.139814 0.163648i
\(391\) 1.49136 + 2.59589i 0.0754215 + 0.131280i
\(392\) −6.51811 1.66112i −0.329214 0.0838994i
\(393\) 13.9206 + 20.9968i 0.702201 + 1.05915i
\(394\) −1.39680 + 22.9512i −0.0703696 + 1.15627i
\(395\) −0.607128 + 1.29537i −0.0305479 + 0.0651772i
\(396\) 0.325529 1.97744i 0.0163584 0.0993700i
\(397\) −0.382663 + 5.68728i −0.0192053 + 0.285436i 0.977881 + 0.209160i \(0.0670730\pi\)
−0.997087 + 0.0762764i \(0.975697\pi\)
\(398\) 30.5261 + 38.1353i 1.53013 + 1.91155i
\(399\) −25.9746 0.498646i −1.30036 0.0249635i
\(400\) 5.68145 4.57772i 0.284073 0.228886i
\(401\) −17.5645 + 17.6208i −0.877129 + 0.879940i −0.993566 0.113258i \(-0.963871\pi\)
0.116436 + 0.993198i \(0.462853\pi\)
\(402\) 1.11953 8.92630i 0.0558371 0.445203i
\(403\) −0.997930 + 3.66949i −0.0497104 + 0.182790i
\(404\) −13.9472 45.4861i −0.693898 2.26302i
\(405\) −1.55384 2.78659i −0.0772108 0.138467i
\(406\) 44.2211 9.77472i 2.19466 0.485111i
\(407\) −1.82980 + 0.331368i −0.0906997 + 0.0164253i
\(408\) −2.21607 + 1.22643i −0.109712 + 0.0607173i
\(409\) −8.66559 9.63237i −0.428486 0.476290i 0.490012 0.871716i \(-0.336992\pi\)
−0.918498 + 0.395425i \(0.870597\pi\)
\(410\) 8.78090 + 13.6198i 0.433658 + 0.672632i
\(411\) 0.0339768 + 10.6204i 0.00167595 + 0.523867i
\(412\) −0.562887 0.911008i −0.0277314 0.0448821i
\(413\) 9.79998 17.8423i 0.482225 0.877963i
\(414\) −2.48064 7.25369i −0.121917 0.356500i
\(415\) −0.568841 + 1.94356i −0.0279233 + 0.0954058i
\(416\) −7.31644 9.26104i −0.358718 0.454060i
\(417\) −3.65093 + 2.37039i −0.178787 + 0.116078i
\(418\) −6.31280 + 3.70780i −0.308769 + 0.181354i
\(419\) 16.0743 13.6445i 0.785281 0.666576i −0.162068 0.986780i \(-0.551816\pi\)
0.947349 + 0.320204i \(0.103751\pi\)
\(420\) −6.28337 + 9.21902i −0.306597 + 0.449842i
\(421\) 11.0661 1.13686i 0.539331 0.0554070i 0.171297 0.985219i \(-0.445204\pi\)
0.368034 + 0.929812i \(0.380031\pi\)
\(422\) 23.3188 + 3.76220i 1.13514 + 0.183141i
\(423\) 0.842685 0.936700i 0.0409728 0.0455439i
\(424\) −1.73965 + 7.52669i −0.0844847 + 0.365528i
\(425\) −3.33917 3.14213i −0.161973 0.152415i
\(426\) −3.14354 + 20.7488i −0.152305 + 1.00528i
\(427\) −23.6401 + 11.1722i −1.14402 + 0.540663i
\(428\) 26.3660 22.9674i 1.27445 1.11017i
\(429\) 0.158811 + 1.14715i 0.00766745 + 0.0553850i
\(430\) 1.65591 5.79506i 0.0798552 0.279463i
\(431\) 4.69031 + 23.7285i 0.225924 + 1.14296i 0.910337 + 0.413868i \(0.135822\pi\)
−0.684413 + 0.729095i \(0.739941\pi\)
\(432\) −9.39986 + 3.04755i −0.452251 + 0.146625i
\(433\) 27.5966 0.353164i 1.32621 0.0169720i 0.653525 0.756905i \(-0.273289\pi\)
0.672681 + 0.739933i \(0.265143\pi\)
\(434\) 2.67145 16.9019i 0.128234 0.811316i
\(435\) 0.993979 7.53450i 0.0476576 0.361251i
\(436\) −0.950773 17.4647i −0.0455337 0.836407i
\(437\) −8.49730 + 13.9514i −0.406481 + 0.667384i
\(438\) −15.3815 + 1.77937i −0.734956 + 0.0850215i
\(439\) 8.75108 3.40535i 0.417666 0.162528i −0.144589 0.989492i \(-0.546186\pi\)
0.562256 + 0.826963i \(0.309934\pi\)
\(440\) −0.0430701 + 0.896835i −0.00205329 + 0.0427549i
\(441\) −1.48739 + 4.74236i −0.0708280 + 0.225827i
\(442\) −2.69163 + 2.80597i −0.128028 + 0.133466i
\(443\) 5.02674 + 12.7965i 0.238828 + 0.607978i 0.999135 0.0415853i \(-0.0132408\pi\)
−0.760307 + 0.649564i \(0.774952\pi\)
\(444\) −7.49568 9.74164i −0.355729 0.462318i
\(445\) −14.4212 + 6.14988i −0.683630 + 0.291532i
\(446\) 8.64836 + 12.3465i 0.409512 + 0.584622i
\(447\) 2.43552 9.18737i 0.115196 0.434548i
\(448\) 29.1140 + 29.5835i 1.37551 + 1.39769i
\(449\) 7.90082 1.22288i 0.372863 0.0577114i 0.0362202 0.999344i \(-0.488468\pi\)
0.336643 + 0.941632i \(0.390709\pi\)
\(450\) 6.85852 + 9.52941i 0.323314 + 0.449221i
\(451\) −4.36309 0.675315i −0.205450 0.0317993i
\(452\) 19.3124 + 37.9928i 0.908377 + 1.78703i
\(453\) −6.65491 1.11742i −0.312675 0.0525009i
\(454\) 14.8802 3.18943i 0.698362 0.149687i
\(455\) −1.43387 + 4.67630i −0.0672208 + 0.219228i
\(456\) −11.6866 7.37673i −0.547274 0.345447i
\(457\) 18.6296 + 1.55317i 0.871458 + 0.0726543i 0.510449 0.859908i \(-0.329479\pi\)
0.361009 + 0.932562i \(0.382432\pi\)
\(458\) −2.91610 1.73795i −0.136260 0.0812091i
\(459\) 2.70710 + 5.58864i 0.126357 + 0.260855i
\(460\) 3.01772 + 6.33285i 0.140702 + 0.295271i
\(461\) −11.7670 + 29.4009i −0.548046 + 1.36934i 0.353004 + 0.935622i \(0.385160\pi\)
−0.901050 + 0.433716i \(0.857202\pi\)
\(462\) −1.27076 5.05388i −0.0591213 0.235128i
\(463\) 15.6548 13.9932i 0.727541 0.650320i −0.217953 0.975959i \(-0.569938\pi\)
0.945494 + 0.325640i \(0.105580\pi\)
\(464\) −10.4785 3.54608i −0.486453 0.164623i
\(465\) −2.51239 1.39042i −0.116509 0.0644794i
\(466\) 5.60451 + 24.2483i 0.259624 + 1.12328i
\(467\) 6.81689 11.6917i 0.315448 0.541029i −0.662714 0.748873i \(-0.730596\pi\)
0.978162 + 0.207843i \(0.0666444\pi\)
\(468\) 4.74596 3.34710i 0.219382 0.154720i
\(469\) 2.90778 + 9.93506i 0.134269 + 0.458758i
\(470\) −1.14440 + 1.61171i −0.0527871 + 0.0743424i
\(471\) 1.49939 + 6.30312i 0.0690883 + 0.290433i
\(472\) 9.37228 5.42442i 0.431394 0.249679i
\(473\) 0.880921 + 1.38576i 0.0405048 + 0.0637171i
\(474\) 2.80411 3.41264i 0.128797 0.156748i
\(475\) 6.25585 24.2233i 0.287038 1.11144i
\(476\) 6.22342 8.08818i 0.285250 0.370721i
\(477\) 5.48335 + 1.58583i 0.251065 + 0.0726103i
\(478\) 49.4286 18.5096i 2.26081 0.846611i
\(479\) −10.5510 + 9.31038i −0.482088 + 0.425402i −0.867571 0.497313i \(-0.834320\pi\)
0.385483 + 0.922715i \(0.374035\pi\)
\(480\) 8.10561 3.70456i 0.369969 0.169089i
\(481\) −4.40377 3.10577i −0.200795 0.141611i
\(482\) 10.7951 31.5660i 0.491701 1.43779i
\(483\) −7.83179 8.59432i −0.356359 0.391055i
\(484\) 21.4048 + 20.9308i 0.972946 + 0.951398i
\(485\) −3.32980 + 5.62792i −0.151198 + 0.255551i
\(486\) −6.92117 26.1084i −0.313951 1.18430i
\(487\) 13.1067 15.5413i 0.593921 0.704242i −0.381555 0.924346i \(-0.624611\pi\)
0.975476 + 0.220104i \(0.0706398\pi\)
\(488\) −13.8364 1.42145i −0.626344 0.0643461i
\(489\) 2.03381 + 0.546120i 0.0919721 + 0.0246964i
\(490\) 1.46303 7.65880i 0.0660928 0.345989i
\(491\) 9.16430 + 27.3682i 0.413579 + 1.23511i 0.926376 + 0.376599i \(0.122907\pi\)
−0.512797 + 0.858510i \(0.671391\pi\)
\(492\) −9.26641 27.6731i −0.417762 1.24760i
\(493\) −1.30438 + 6.82831i −0.0587463 + 0.307531i
\(494\) −20.4900 5.50198i −0.921887 0.247546i
\(495\) 0.659958 + 0.0677994i 0.0296629 + 0.00304736i
\(496\) −2.69465 + 3.19517i −0.120993 + 0.143468i
\(497\) −6.18771 23.3416i −0.277557 1.04701i
\(498\) 3.18378 5.38112i 0.142669 0.241134i
\(499\) −19.6997 19.2634i −0.881880 0.862349i 0.109417 0.993996i \(-0.465102\pi\)
−0.991297 + 0.131647i \(0.957973\pi\)
\(500\) −15.9740 17.5293i −0.714380 0.783934i
\(501\) −3.56053 + 10.4114i −0.159073 + 0.465147i
\(502\) 47.8482 + 33.7450i 2.13557 + 1.50611i
\(503\) 15.9152 7.27385i 0.709626 0.324325i −0.0279309 0.999610i \(-0.508892\pi\)
0.737557 + 0.675285i \(0.235979\pi\)
\(504\) −5.59586 + 4.93787i −0.249259 + 0.219950i
\(505\) 14.7497 5.52334i 0.656351 0.245785i
\(506\) −3.14771 0.910345i −0.139933 0.0404698i
\(507\) 8.30757 10.7968i 0.368952 0.479503i
\(508\) −1.85390 + 7.17851i −0.0822537 + 0.318495i
\(509\) −6.36916 + 7.75136i −0.282308 + 0.343573i −0.894444 0.447179i \(-0.852429\pi\)
0.612136 + 0.790752i \(0.290310\pi\)
\(510\) −1.57510 2.47775i −0.0697466 0.109717i
\(511\) 15.4207 8.92511i 0.682173 0.394824i
\(512\) −4.43041 18.6245i −0.195798 0.823095i
\(513\) −19.6166 + 27.6270i −0.866096 + 1.21976i
\(514\) −1.55337 5.30741i −0.0685160 0.234100i
\(515\) 0.289708 0.204317i 0.0127660 0.00900328i
\(516\) −5.46702 + 9.37656i −0.240672 + 0.412780i
\(517\) −0.121276 0.524711i −0.00533373 0.0230767i
\(518\) 21.2161 + 11.7416i 0.932183 + 0.515895i
\(519\) 6.56757 + 2.22256i 0.288284 + 0.0975595i
\(520\) −1.93990 + 1.73400i −0.0850702 + 0.0760409i
\(521\) −4.02759 16.0179i −0.176452 0.701756i −0.992339 0.123545i \(-0.960574\pi\)
0.815887 0.578211i \(-0.196249\pi\)
\(522\) 6.61445 16.5267i 0.289507 0.723356i
\(523\) −7.08662 14.8717i −0.309876 0.650293i 0.687220 0.726450i \(-0.258831\pi\)
−0.997096 + 0.0761562i \(0.975735\pi\)
\(524\) −23.5398 48.5965i −1.02834 2.12295i
\(525\) 15.2972 + 9.11688i 0.667623 + 0.397893i
\(526\) 19.1830 + 1.59931i 0.836420 + 0.0697331i
\(527\) 2.22116 + 1.40203i 0.0967553 + 0.0610733i
\(528\) −0.373155 + 1.21697i −0.0162395 + 0.0529620i
\(529\) 15.3404 3.28807i 0.666974 0.142960i
\(530\) −8.83132 1.48286i −0.383608 0.0644113i
\(531\) −3.62571 7.13278i −0.157343 0.309536i
\(532\) 55.0295 + 8.51741i 2.38583 + 0.369277i
\(533\) −7.47384 10.3844i −0.323728 0.449796i
\(534\) 47.8350 7.40386i 2.07002 0.320396i
\(535\) 8.11941 + 8.25034i 0.351033 + 0.356693i
\(536\) −1.41107 + 5.32291i −0.0609489 + 0.229914i
\(537\) −1.02449 1.46257i −0.0442100 0.0631145i
\(538\) 21.4330 9.14004i 0.924041 0.394055i
\(539\) 1.29548 + 1.68365i 0.0558002 + 0.0725199i
\(540\) 5.32014 + 13.5434i 0.228943 + 0.582814i
\(541\) −17.4994 + 18.2427i −0.752356 + 0.784316i −0.981984 0.188963i \(-0.939487\pi\)
0.229628 + 0.973279i \(0.426249\pi\)
\(542\) 15.0782 48.0751i 0.647664 2.06500i
\(543\) −0.344013 + 7.16329i −0.0147630 + 0.307406i
\(544\) −7.59722 + 2.95634i −0.325728 + 0.126752i
\(545\) 5.75180 0.665381i 0.246380 0.0285018i
\(546\) 7.85542 12.8975i 0.336181 0.551961i
\(547\) 1.83926 + 33.7853i 0.0786412 + 1.44456i 0.728784 + 0.684744i \(0.240086\pi\)
−0.650143 + 0.759812i \(0.725291\pi\)
\(548\) 2.97733 22.5686i 0.127185 0.964083i
\(549\) −1.60450 + 10.1514i −0.0684785 + 0.433253i
\(550\) 5.01796 0.0642168i 0.213966 0.00273821i
\(551\) −36.0827 + 11.6985i −1.53718 + 0.498372i
\(552\) −1.19943 6.06797i −0.0510510 0.258270i
\(553\) −1.39641 + 4.88689i −0.0593812 + 0.207812i
\(554\) 3.45981 + 24.9916i 0.146993 + 1.06179i
\(555\) 3.06823 2.67273i 0.130239 0.113451i
\(556\) 8.43556 3.98663i 0.357747 0.169071i
\(557\) −2.06810 + 13.6504i −0.0876281 + 0.578385i 0.901664 + 0.432437i \(0.142346\pi\)
−0.989292 + 0.145948i \(0.953377\pi\)
\(558\) −4.89831 4.60926i −0.207362 0.195126i
\(559\) −1.07158 + 4.63625i −0.0453229 + 0.196092i
\(560\) −3.59559 + 3.99673i −0.151941 + 0.168893i
\(561\) 0.789705 + 0.127409i 0.0333414 + 0.00537920i
\(562\) −49.6185 + 5.09745i −2.09303 + 0.215023i
\(563\) −8.64624 + 12.6859i −0.364395 + 0.534645i −0.964087 0.265586i \(-0.914435\pi\)
0.599692 + 0.800231i \(0.295290\pi\)
\(564\) 2.71388 2.30364i 0.114275 0.0970009i
\(565\) −12.1657 + 7.14549i −0.511815 + 0.300613i
\(566\) 14.8225 9.62361i 0.623037 0.404510i
\(567\) −7.02671 8.89430i −0.295094 0.373525i
\(568\) 3.60829 12.3285i 0.151400 0.517291i
\(569\) 11.1791 + 32.6891i 0.468653 + 1.37040i 0.886857 + 0.462044i \(0.152884\pi\)
−0.418204 + 0.908353i \(0.637340\pi\)
\(570\) 7.71237 14.0415i 0.323035 0.588134i
\(571\) −1.10339 1.78579i −0.0461756 0.0747331i 0.826803 0.562491i \(-0.190157\pi\)
−0.872979 + 0.487758i \(0.837815\pi\)
\(572\) −0.00794123 2.48226i −0.000332040 0.103789i
\(573\) 14.4105 + 22.3517i 0.602008 + 0.933754i
\(574\) 38.5047 + 42.8005i 1.60716 + 1.78646i
\(575\) 9.79702 5.42193i 0.408564 0.226110i
\(576\) 16.0536 2.90724i 0.668901 0.121135i
\(577\) 31.1933 6.89504i 1.29860 0.287044i 0.488099 0.872788i \(-0.337690\pi\)
0.810496 + 0.585744i \(0.199198\pi\)
\(578\) −16.8300 30.1822i −0.700036 1.25542i
\(579\) 5.51559 + 17.9881i 0.229220 + 0.747559i
\(580\) −4.27473 + 15.7186i −0.177499 + 0.652680i
\(581\) −0.895328 + 7.13867i −0.0371444 + 0.296162i
\(582\) 14.2533 14.2990i 0.590819 0.592713i
\(583\) 1.89982 1.53074i 0.0786824 0.0633969i
\(584\) 9.47635 + 0.181922i 0.392134 + 0.00752797i
\(585\) 1.20143 + 1.50091i 0.0496732 + 0.0620551i
\(586\) −1.16305 + 17.2857i −0.0480451 + 0.714064i
\(587\) 2.77749 16.8720i 0.114639 0.696381i −0.865924 0.500176i \(-0.833269\pi\)
0.980563 0.196205i \(-0.0628617\pi\)
\(588\) −5.95928 + 12.7148i −0.245757 + 0.524348i
\(589\) −0.870628 + 14.3056i −0.0358736 + 0.589451i
\(590\) 6.93635 + 10.4623i 0.285565 + 0.430726i
\(591\) 13.2837 + 3.38531i 0.546417 + 0.139253i
\(592\) −2.95055 5.13576i −0.121267 0.211079i
\(593\) 12.4218 14.5394i 0.510104 0.597061i −0.444190 0.895933i \(-0.646508\pi\)
0.954293 + 0.298871i \(0.0966102\pi\)
\(594\) −6.38007 2.34272i −0.261777 0.0961231i
\(595\) 2.79776 + 1.89377i 0.114697 + 0.0776372i
\(596\) −7.81130 + 18.8156i −0.319963 + 0.770716i
\(597\) 25.7462 13.6097i 1.05372 0.557010i
\(598\) −4.51795 8.35179i −0.184753 0.341530i
\(599\) 7.78308 + 20.1919i 0.318008 + 0.825019i 0.995950 + 0.0899038i \(0.0286560\pi\)
−0.677942 + 0.735115i \(0.737128\pi\)
\(600\) 4.45388 + 8.36076i 0.181829 + 0.341326i
\(601\) −15.7023 + 14.9663i −0.640508 + 0.610486i −0.938996 0.343927i \(-0.888243\pi\)
0.298488 + 0.954413i \(0.403518\pi\)
\(602\) 2.52864 21.2624i 0.103060 0.866590i
\(603\) 3.87058 + 1.25489i 0.157622 + 0.0511031i
\(604\) 13.8148 + 4.28437i 0.562117 + 0.174328i
\(605\) −6.48578 + 7.49379i −0.263684 + 0.304666i
\(606\) −48.3400 + 5.27888i −1.96368 + 0.214440i
\(607\) 6.29279 + 5.07030i 0.255417 + 0.205797i 0.746625 0.665245i \(-0.231673\pi\)
−0.491209 + 0.871042i \(0.663445\pi\)
\(608\) −34.0952 28.5680i −1.38274 1.15858i
\(609\) −0.777288 26.9886i −0.0314973 1.09363i
\(610\) 0.670374 16.1096i 0.0271426 0.652259i
\(611\) 0.837241 1.31704i 0.0338712 0.0532819i
\(612\) −1.24934 3.81184i −0.0505015 0.154085i
\(613\) −8.38798 6.58323i −0.338787 0.265894i 0.433519 0.901144i \(-0.357272\pi\)
−0.772306 + 0.635250i \(0.780897\pi\)
\(614\) −21.4002 43.4684i −0.863643 1.75424i
\(615\) 8.95778 3.61844i 0.361212 0.145909i
\(616\) 0.356428 + 3.16989i 0.0143609 + 0.127719i
\(617\) 27.6797 0.885824i 1.11434 0.0356619i 0.530615 0.847613i \(-0.321961\pi\)
0.583726 + 0.811951i \(0.301594\pi\)
\(618\) −1.02255 + 0.390393i −0.0411328 + 0.0157039i
\(619\) −43.7569 16.3857i −1.75874 0.658599i −0.999974 0.00723418i \(-0.997697\pi\)
−0.758765 0.651365i \(-0.774197\pi\)
\(620\) 4.93733 + 3.67480i 0.198288 + 0.147583i
\(621\) −15.0150 + 2.12763i −0.602529 + 0.0853790i
\(622\) 13.8232 + 50.8292i 0.554259 + 2.03807i
\(623\) −47.1002 + 29.7303i −1.88703 + 1.19112i
\(624\) −3.27207 + 1.70296i −0.130988 + 0.0681731i
\(625\) −8.95779 + 9.21949i −0.358312 + 0.368780i
\(626\) −33.2512 + 57.8776i −1.32899 + 2.31325i
\(627\) 1.46507 + 4.11144i 0.0585094 + 0.164195i
\(628\) −1.37500 13.8190i −0.0548686 0.551438i
\(629\) −2.94267 + 2.27925i −0.117332 + 0.0908797i
\(630\) −6.10745 6.12702i −0.243326 0.244106i
\(631\) −8.29716 0.906076i −0.330305 0.0360703i −0.0581034 0.998311i \(-0.518505\pi\)
−0.272202 + 0.962240i \(0.587752\pi\)
\(632\) −1.98081 + 1.84017i −0.0787925 + 0.0731982i
\(633\) 4.81157 13.2343i 0.191243 0.526017i
\(634\) 4.44789 + 30.6823i 0.176648 + 1.21855i
\(635\) −2.40930 0.468232i −0.0956103 0.0185812i
\(636\) 14.7521 + 6.51536i 0.584960 + 0.258351i
\(637\) −0.844201 + 6.09800i −0.0334485 + 0.241612i
\(638\) −4.16371 6.36835i −0.164843 0.252125i
\(639\) −8.95107 3.15739i −0.354099 0.124904i
\(640\) −11.4342 + 3.46602i −0.451975 + 0.137007i
\(641\) 4.20578 + 1.92219i 0.166118 + 0.0759221i 0.497002 0.867750i \(-0.334434\pi\)
−0.330883 + 0.943672i \(0.607347\pi\)
\(642\) −18.0014 30.8745i −0.710460 1.21852i
\(643\) 30.7676 28.9520i 1.21335 1.14176i 0.227566 0.973763i \(-0.426923\pi\)
0.985788 0.167993i \(-0.0537285\pi\)
\(644\) 14.1678 + 20.5040i 0.558288 + 0.807969i
\(645\) −3.20827 1.61792i −0.126326 0.0637057i
\(646\) −7.78230 + 12.4169i −0.306190 + 0.488537i
\(647\) 23.9145 + 18.5231i 0.940178 + 0.728217i 0.962429 0.271535i \(-0.0875313\pi\)
−0.0222507 + 0.999752i \(0.507083\pi\)
\(648\) −0.750374 5.98292i −0.0294775 0.235031i
\(649\) −3.38617 0.479824i −0.132919 0.0188347i
\(650\) 10.3324 + 10.2337i 0.405271 + 0.401400i
\(651\) −9.59866 3.45504i −0.376201 0.135414i
\(652\) −4.16321 1.74399i −0.163044 0.0683001i
\(653\) −0.146741 1.69460i −0.00574241 0.0663147i 0.992849 0.119380i \(-0.0380907\pi\)
−0.998591 + 0.0530653i \(0.983101\pi\)
\(654\) −17.7158 2.39482i −0.692743 0.0936450i
\(655\) 15.5845 8.75560i 0.608937 0.342110i
\(656\) −2.63860 13.8128i −0.103020 0.539301i
\(657\) 0.514848 6.98438i 0.0200861 0.272487i
\(658\) −3.10180 + 6.30041i −0.120921 + 0.245615i
\(659\) 6.66511 3.20225i 0.259636 0.124742i −0.298727 0.954339i \(-0.596562\pi\)
0.558363 + 0.829597i \(0.311430\pi\)
\(660\) 1.82210 + 0.439605i 0.0709250 + 0.0171116i
\(661\) −27.0498 + 36.1014i −1.05211 + 1.40418i −0.141979 + 0.989870i \(0.545347\pi\)
−0.910135 + 0.414312i \(0.864022\pi\)
\(662\) −14.8263 + 16.9107i −0.576240 + 0.657253i
\(663\) 1.34204 + 1.89006i 0.0521207 + 0.0734039i
\(664\) −2.37254 + 3.00313i −0.0920725 + 0.116544i
\(665\) −1.70780 + 18.3549i −0.0662255 + 0.711771i
\(666\) 8.51026 4.29171i 0.329766 0.166300i
\(667\) −14.9063 8.12537i −0.577173 0.314616i
\(668\) 10.5524 21.0925i 0.408284 0.816093i
\(669\) 8.19733 3.68326i 0.316927 0.142403i
\(670\) −6.25827 1.25786i −0.241778 0.0485954i
\(671\) 3.16039 + 3.05108i 0.122005 + 0.117786i
\(672\) 26.3330 17.5799i 1.01582 0.678160i
\(673\) 2.82695 8.62527i 0.108971 0.332480i −0.881123 0.472887i \(-0.843212\pi\)
0.990094 + 0.140407i \(0.0448412\pi\)
\(674\) 16.3316 + 19.8758i 0.629070 + 0.765587i
\(675\) 21.0617 9.78935i 0.810666 0.376792i
\(676\) −20.7463 + 20.5481i −0.797933 + 0.790311i
\(677\) −38.7823 + 28.8652i −1.49052 + 1.10938i −0.524347 + 0.851505i \(0.675690\pi\)
−0.966178 + 0.257875i \(0.916978\pi\)
\(678\) 41.8461 12.1023i 1.60709 0.464785i
\(679\) −8.49414 + 21.6233i −0.325975 + 0.829828i
\(680\) 0.752282 + 1.63217i 0.0288487 + 0.0625908i
\(681\) −0.203159 9.07040i −0.00778506 0.347578i
\(682\) −2.81481 + 0.584515i −0.107784 + 0.0223822i
\(683\) 14.0664 14.8531i 0.538238 0.568336i −0.399034 0.916936i \(-0.630654\pi\)
0.937272 + 0.348600i \(0.113343\pi\)
\(684\) 14.9484 15.9879i 0.571565 0.611314i
\(685\) 7.51729 + 0.529957i 0.287221 + 0.0202486i
\(686\) −0.656094 + 22.7806i −0.0250498 + 0.869767i
\(687\) −1.34392 + 1.51321i −0.0512737 + 0.0577327i
\(688\) −3.21593 + 4.12466i −0.122606 + 0.157251i
\(689\) 7.02332 + 0.812475i 0.267567 + 0.0309528i
\(690\) 6.93653 1.81510i 0.264069 0.0690997i
\(691\) −3.59248 11.4542i −0.136665 0.435739i 0.860631 0.509228i \(-0.170069\pi\)
−0.997296 + 0.0734895i \(0.976586\pi\)
\(692\) −13.3120 6.60672i −0.506046 0.251150i
\(693\) 2.35308 0.135652i 0.0893860 0.00515301i
\(694\) 29.5080 32.3809i 1.12011 1.22916i
\(695\) 1.48695 + 2.70722i 0.0564034 + 0.102691i
\(696\) 7.07504 12.4994i 0.268179 0.473788i
\(697\) −8.37090 + 2.83283i −0.317070 + 0.107301i
\(698\) −31.0336 5.62004i −1.17464 0.212722i
\(699\) 14.8264 0.569466i 0.560785 0.0215392i
\(700\) −29.8749 23.7575i −1.12917 0.897950i
\(701\) −18.2194 11.0171i −0.688136 0.416108i 0.129705 0.991553i \(-0.458597\pi\)
−0.817841 + 0.575444i \(0.804829\pi\)
\(702\) −8.12975 17.9396i −0.306838 0.677085i
\(703\) −18.6303 8.08614i −0.702657 0.304975i
\(704\) 2.91895 6.33302i 0.110012 0.238685i
\(705\) 0.815777 + 0.850430i 0.0307239 + 0.0320290i
\(706\) 6.35836 3.15564i 0.239300 0.118764i
\(707\) 48.6069 27.7187i 1.82805 1.04247i
\(708\) −7.45170 21.3427i −0.280052 0.802106i
\(709\) −7.21843 + 1.40285i −0.271094 + 0.0526853i −0.324494 0.945888i \(-0.605194\pi\)
0.0533997 + 0.998573i \(0.482994\pi\)
\(710\) 14.5189 + 3.30685i 0.544883 + 0.124104i
\(711\) 1.27813 + 1.53536i 0.0479335 + 0.0575806i
\(712\) −29.6239 + 0.568703i −1.11020 + 0.0213130i
\(713\) −4.91676 + 4.11970i −0.184134 + 0.154284i
\(714\) −6.92652 7.79907i −0.259219 0.291873i
\(715\) 0.820063 0.0525423i 0.0306686 0.00196497i
\(716\) 1.75616 + 3.40081i 0.0656308 + 0.127094i
\(717\) −5.30981 31.0152i −0.198298 1.15828i
\(718\) 4.84644 + 30.6627i 0.180868 + 1.14432i
\(719\) 30.6842 0.785486i 1.14433 0.0292937i 0.551180 0.834386i \(-0.314178\pi\)
0.593149 + 0.805093i \(0.297884\pi\)
\(720\) 0.502171 + 2.05260i 0.0187148 + 0.0764958i
\(721\) 0.900493 0.880549i 0.0335361 0.0327934i
\(722\) −38.2709 2.20628i −1.42430 0.0821092i
\(723\) −17.2770 9.85245i −0.642540 0.366417i
\(724\) 2.78755 15.1167i 0.103599 0.561810i
\(725\) 25.4577 + 5.28647i 0.945474 + 0.196335i
\(726\) 25.1182 17.4751i 0.932223 0.648561i
\(727\) −17.6983 + 11.0137i −0.656394 + 0.408476i −0.815477 0.578790i \(-0.803525\pi\)
0.159082 + 0.987265i \(0.449146\pi\)
\(728\) −5.82271 + 7.17948i −0.215804 + 0.266089i
\(729\) −26.3654 + 1.85872i −0.976498 + 0.0688415i
\(730\) 0.456810 + 10.9775i 0.0169073 + 0.406295i
\(731\) 2.84467 + 1.64642i 0.105214 + 0.0608950i
\(732\) −8.33440 + 27.8148i −0.308048 + 1.02807i
\(733\) 13.5859 24.3644i 0.501807 0.899919i −0.497663 0.867370i \(-0.665809\pi\)
0.999470 0.0325492i \(-0.0103626\pi\)
\(734\) −20.1257 4.31375i −0.742852 0.159223i
\(735\) −4.32123 1.71345i −0.159391 0.0632017i
\(736\) −1.20938 19.8717i −0.0445783 0.732481i
\(737\) 1.38847 1.04730i 0.0511451 0.0385776i
\(738\) 22.4253 3.03146i 0.825488 0.111590i
\(739\) −4.05436 18.0676i −0.149142 0.664626i −0.991973 0.126448i \(-0.959642\pi\)
0.842831 0.538178i \(-0.180887\pi\)
\(740\) −7.28465 + 4.79614i −0.267789 + 0.176310i
\(741\) −5.51392 + 11.3832i −0.202559 + 0.418171i
\(742\) −31.8137 0.203558i −1.16792 0.00747286i
\(743\) −6.02977 6.44911i −0.221211 0.236595i 0.610208 0.792241i \(-0.291086\pi\)
−0.831419 + 0.555646i \(0.812471\pi\)
\(744\) −3.41835 4.21488i −0.125323 0.154525i
\(745\) −6.37438 2.20273i −0.233539 0.0807019i
\(746\) −69.2068 26.4222i −2.53384 0.967384i
\(747\) 2.12042 + 1.87109i 0.0775822 + 0.0684597i
\(748\) −1.64083 0.497381i −0.0599946 0.0181861i
\(749\) 33.1463 + 24.3424i 1.21114 + 0.889451i
\(750\) −20.6618 + 12.6752i −0.754463 + 0.462833i
\(751\) −0.00126728 + 0.396127i −4.62439e−5 + 0.0144549i 0.999946 + 0.0104265i \(0.00331893\pi\)
−0.999992 + 0.00402835i \(0.998718\pi\)
\(752\) 1.44466 0.924866i 0.0526812 0.0337264i
\(753\) 25.1130 24.2444i 0.915168 0.883516i
\(754\) 4.69001 21.5445i 0.170800 0.784606i
\(755\) −1.13788 + 4.65104i −0.0414118 + 0.169269i
\(756\) 26.3234 + 44.4910i 0.957373 + 1.61812i
\(757\) −0.00933664 + 0.00948720i −0.000339346 + 0.000344818i −0.712909 0.701256i \(-0.752623\pi\)
0.712570 + 0.701601i \(0.247531\pi\)
\(758\) −5.27750 + 7.33269i −0.191687 + 0.266335i
\(759\) −0.885192 + 1.74142i −0.0321304 + 0.0632094i
\(760\) −5.82974 + 7.88518i −0.211467 + 0.286026i
\(761\) −2.06511 + 3.07201i −0.0748603 + 0.111360i −0.865471 0.500958i \(-0.832981\pi\)
0.790611 + 0.612319i \(0.209763\pi\)
\(762\) 6.85125 + 3.23789i 0.248195 + 0.117296i
\(763\) 19.7971 5.58849i 0.716703 0.202317i
\(764\) −24.1914 51.6149i −0.875214 1.86736i
\(765\) 1.23444 0.489479i 0.0446311 0.0176971i
\(766\) −32.4043 + 5.44097i −1.17081 + 0.196590i
\(767\) −5.89188 7.96923i −0.212744 0.287752i
\(768\) 3.95483 0.177250i 0.142708 0.00639594i
\(769\) 2.19147 + 1.28715i 0.0790264 + 0.0464159i 0.545432 0.838155i \(-0.316366\pi\)
−0.466405 + 0.884571i \(0.654451\pi\)